Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [527,2,Mod(35,527)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(527, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("527.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 527 = 17 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 527.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.20811618652\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 35.19 | ||
Character | \(\chi\) | \(=\) | 527.35 |
Dual form | 527.2.h.c.256.19 |
$q$-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 \(\left(\mathbb{Z}/527\mathbb{Z}\right)^\times\).
\(n\) | \(156\) | \(375\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.664255 | + | 2.04437i | 0.469699 | + | 1.44558i | 0.852975 | + | 0.521951i | \(0.174796\pi\) |
−0.383277 | + | 0.923634i | \(0.625204\pi\) | |||||||
\(3\) | 0.708988 | − | 2.18204i | 0.409335 | − | 1.25980i | −0.507887 | − | 0.861424i | \(-0.669573\pi\) |
0.917221 | − | 0.398378i | \(-0.130427\pi\) | |||||||
\(4\) | −2.12016 | + | 1.54039i | −1.06008 | + | 0.770194i | ||||
\(5\) | 3.53489 | 1.58085 | 0.790425 | − | 0.612559i | \(-0.209860\pi\) | ||||
0.790425 | + | 0.612559i | \(0.209860\pi\) | |||||||
\(6\) | 4.93184 | 2.01341 | ||||||||
\(7\) | −0.412992 | + | 0.300057i | −0.156096 | + | 0.113411i | −0.663092 | − | 0.748538i | \(-0.730756\pi\) |
0.506995 | + | 0.861949i | \(0.330756\pi\) | |||||||
\(8\) | −1.07936 | − | 0.784201i | −0.381611 | − | 0.277257i | ||||
\(9\) | −1.83159 | − | 1.33073i | −0.610530 | − | 0.443576i | ||||
\(10\) | 2.34806 | + | 7.22660i | 0.742523 | + | 2.28525i | ||||
\(11\) | −3.05753 | + | 2.22143i | −0.921881 | + | 0.669786i | −0.943991 | − | 0.329970i | \(-0.892961\pi\) |
0.0221105 | + | 0.999756i | \(0.492961\pi\) | |||||||
\(12\) | 1.85802 | + | 5.71840i | 0.536364 | + | 1.65076i | ||||
\(13\) | 1.71087 | − | 5.26552i | 0.474510 | − | 1.46039i | −0.372107 | − | 0.928190i | \(-0.621365\pi\) |
0.846617 | − | 0.532202i | \(-0.178635\pi\) | |||||||
\(14\) | −0.887757 | − | 0.644993i | −0.237263 | − | 0.172382i | ||||
\(15\) | 2.50619 | − | 7.71327i | 0.647096 | − | 1.99156i | ||||
\(16\) | −0.733436 | + | 2.25728i | −0.183359 | + | 0.564321i | ||||
\(17\) | −0.809017 | − | 0.587785i | −0.196215 | − | 0.142559i | ||||
\(18\) | 1.50385 | − | 4.62838i | 0.354461 | − | 1.09092i | ||||
\(19\) | 0.351855 | + | 1.08290i | 0.0807211 | + | 0.248434i | 0.983270 | − | 0.182153i | \(-0.0583066\pi\) |
−0.902549 | + | 0.430587i | \(0.858307\pi\) | |||||||
\(20\) | −7.49453 | + | 5.44510i | −1.67583 | + | 1.21756i | ||||
\(21\) | 0.361929 | + | 1.11390i | 0.0789794 | + | 0.243074i | ||||
\(22\) | −6.57239 | − | 4.77512i | −1.40124 | − | 1.01806i | ||||
\(23\) | 3.57639 | + | 2.59840i | 0.745729 | + | 0.541804i | 0.894500 | − | 0.447068i | \(-0.147532\pi\) |
−0.148771 | + | 0.988872i | \(0.547532\pi\) | |||||||
\(24\) | −2.47641 | + | 1.79922i | −0.505496 | + | 0.367264i | ||||
\(25\) | 7.49543 | 1.49909 | ||||||||
\(26\) | 11.9011 | 2.33400 | ||||||||
\(27\) | 1.36619 | − | 0.992592i | 0.262923 | − | 0.191024i | ||||
\(28\) | 0.413407 | − | 1.27234i | 0.0781266 | − | 0.240449i | ||||
\(29\) | −2.57655 | − | 7.92982i | −0.478454 | − | 1.47253i | −0.841242 | − | 0.540659i | \(-0.818175\pi\) |
0.362788 | − | 0.931872i | \(-0.381825\pi\) | |||||||
\(30\) | 17.4335 | 3.18291 | ||||||||
\(31\) | −4.63523 | + | 3.08459i | −0.832511 | + | 0.554008i | ||||
\(32\) | −7.77023 | −1.37359 | ||||||||
\(33\) | 2.67949 | + | 8.24663i | 0.466440 | + | 1.43555i | ||||
\(34\) | 0.664255 | − | 2.04437i | 0.113919 | − | 0.350606i | ||||
\(35\) | −1.45988 | + | 1.06067i | −0.246765 | + | 0.179285i | ||||
\(36\) | 5.93310 | 0.988851 | ||||||||
\(37\) | −3.92515 | −0.645291 | −0.322646 | − | 0.946520i | \(-0.604572\pi\) | ||||
−0.322646 | + | 0.946520i | \(0.604572\pi\) | |||||||
\(38\) | −1.98012 | + | 1.43864i | −0.321218 | + | 0.233378i | ||||
\(39\) | −10.2766 | − | 7.46638i | −1.64557 | − | 1.19558i | ||||
\(40\) | −3.81542 | − | 2.77206i | −0.603270 | − | 0.438301i | ||||
\(41\) | 1.34192 | + | 4.13002i | 0.209573 | + | 0.645001i | 0.999495 | + | 0.0317921i | \(0.0101214\pi\) |
−0.789921 | + | 0.613208i | \(0.789879\pi\) | |||||||
\(42\) | −2.03681 | + | 1.47983i | −0.314287 | + | 0.228343i | ||||
\(43\) | 2.52269 | + | 7.76404i | 0.384706 | + | 1.18400i | 0.936693 | + | 0.350152i | \(0.113870\pi\) |
−0.551987 | + | 0.833853i | \(0.686130\pi\) | |||||||
\(44\) | 3.06060 | − | 9.41957i | 0.461404 | − | 1.42005i | ||||
\(45\) | −6.47446 | − | 4.70397i | −0.965156 | − | 0.701227i | ||||
\(46\) | −2.93645 | + | 9.03745i | −0.432955 | + | 1.33250i | ||||
\(47\) | 2.02642 | − | 6.23669i | 0.295584 | − | 0.909714i | −0.687441 | − | 0.726241i | \(-0.741266\pi\) |
0.983025 | − | 0.183474i | \(-0.0587342\pi\) | |||||||
\(48\) | 4.40549 | + | 3.20078i | 0.635878 | + | 0.461992i | ||||
\(49\) | −2.08259 | + | 6.40955i | −0.297513 | + | 0.915650i | ||||
\(50\) | 4.97887 | + | 15.3234i | 0.704119 | + | 2.16705i | ||||
\(51\) | −1.85616 | + | 1.34858i | −0.259914 | + | 0.188838i | ||||
\(52\) | 4.48362 | + | 13.7991i | 0.621766 | + | 1.91360i | ||||
\(53\) | −4.53151 | − | 3.29233i | −0.622450 | − | 0.452237i | 0.231326 | − | 0.972876i | \(-0.425694\pi\) |
−0.853777 | + | 0.520640i | \(0.825694\pi\) | |||||||
\(54\) | 2.93672 | + | 2.13365i | 0.399637 | + | 0.290353i | ||||
\(55\) | −10.8080 | + | 7.85250i | −1.45736 | + | 1.05883i | ||||
\(56\) | 0.681072 | 0.0910121 | ||||||||
\(57\) | 2.61239 | 0.346020 | ||||||||
\(58\) | 14.5000 | − | 10.5348i | 1.90394 | − | 1.38329i | ||||
\(59\) | −2.35108 | + | 7.23587i | −0.306084 | + | 0.942030i | 0.673186 | + | 0.739473i | \(0.264925\pi\) |
−0.979270 | + | 0.202557i | \(0.935075\pi\) | |||||||
\(60\) | 6.56789 | + | 20.2139i | 0.847911 | + | 2.60960i | ||||
\(61\) | −8.84975 | −1.13309 | −0.566547 | − | 0.824029i | \(-0.691721\pi\) | ||||
−0.566547 | + | 0.824029i | \(0.691721\pi\) | |||||||
\(62\) | −9.38499 | − | 7.42715i | −1.19189 | − | 0.943249i | ||||
\(63\) | 1.15573 | 0.145608 | ||||||||
\(64\) | −3.69454 | − | 11.3706i | −0.461817 | − | 1.42133i | ||||
\(65\) | 6.04773 | − | 18.6130i | 0.750129 | − | 2.30866i | ||||
\(66\) | −15.0793 | + | 10.9557i | −1.85613 | + | 1.34856i | ||||
\(67\) | −2.59351 | −0.316847 | −0.158424 | − | 0.987371i | \(-0.550641\pi\) | ||||
−0.158424 | + | 0.987371i | \(0.550641\pi\) | |||||||
\(68\) | 2.62066 | 0.317802 | ||||||||
\(69\) | 8.20544 | − | 5.96160i | 0.987819 | − | 0.717692i | ||||
\(70\) | −3.13812 | − | 2.27998i | −0.375077 | − | 0.272510i | ||||
\(71\) | −5.45994 | − | 3.96688i | −0.647976 | − | 0.470782i | 0.214605 | − | 0.976701i | \(-0.431153\pi\) |
−0.862581 | + | 0.505919i | \(0.831153\pi\) | |||||||
\(72\) | 0.933387 | + | 2.87267i | 0.110001 | + | 0.338547i | ||||
\(73\) | 5.63728 | − | 4.09573i | 0.659794 | − | 0.479369i | −0.206799 | − | 0.978383i | \(-0.566305\pi\) |
0.866593 | + | 0.499015i | \(0.166305\pi\) | |||||||
\(74\) | −2.60730 | − | 8.02445i | −0.303093 | − | 0.932823i | ||||
\(75\) | 5.31417 | − | 16.3553i | 0.613627 | − | 1.88855i | ||||
\(76\) | −2.41407 | − | 1.75393i | −0.276913 | − | 0.201189i | ||||
\(77\) | 0.596184 | − | 1.83487i | 0.0679415 | − | 0.209102i | ||||
\(78\) | 8.43774 | − | 25.9687i | 0.955385 | − | 2.94037i | ||||
\(79\) | 4.50337 | + | 3.27189i | 0.506669 | + | 0.368116i | 0.811558 | − | 0.584271i | \(-0.198620\pi\) |
−0.304890 | + | 0.952388i | \(0.598620\pi\) | |||||||
\(80\) | −2.59261 | + | 7.97924i | −0.289863 | + | 0.892106i | ||||
\(81\) | −3.29608 | − | 10.1443i | −0.366231 | − | 1.12714i | ||||
\(82\) | −7.55189 | + | 5.48677i | −0.833966 | + | 0.605912i | ||||
\(83\) | −5.06921 | − | 15.6014i | −0.556418 | − | 1.71248i | −0.692169 | − | 0.721735i | \(-0.743345\pi\) |
0.135751 | − | 0.990743i | \(-0.456655\pi\) | |||||||
\(84\) | −2.48319 | − | 1.80414i | −0.270938 | − | 0.196848i | ||||
\(85\) | −2.85978 | − | 2.07775i | −0.310187 | − | 0.225364i | ||||
\(86\) | −14.1968 | + | 10.3146i | −1.53088 | + | 1.11225i | ||||
\(87\) | −19.1299 | −2.05095 | ||||||||
\(88\) | 5.04223 | 0.537503 | ||||||||
\(89\) | −11.2517 | + | 8.17486i | −1.19268 | + | 0.866533i | −0.993545 | − | 0.113439i | \(-0.963813\pi\) |
−0.199136 | + | 0.979972i | \(0.563813\pi\) | |||||||
\(90\) | 5.31595 | − | 16.3608i | 0.560350 | − | 1.72458i | ||||
\(91\) | 0.873376 | + | 2.68798i | 0.0915547 | + | 0.281776i | ||||
\(92\) | −11.5851 | −1.20783 | ||||||||
\(93\) | 3.44437 | + | 12.3012i | 0.357165 | + | 1.27557i | ||||
\(94\) | 14.0961 | 1.45390 | ||||||||
\(95\) | 1.24377 | + | 3.82792i | 0.127608 | + | 0.392737i | ||||
\(96\) | −5.50900 | + | 16.9550i | −0.562260 | + | 1.73046i | ||||
\(97\) | 0.600165 | − | 0.436046i | 0.0609376 | − | 0.0442737i | −0.556899 | − | 0.830580i | \(-0.688009\pi\) |
0.617837 | + | 0.786306i | \(0.288009\pi\) | |||||||
\(98\) | −14.4868 | −1.46339 | ||||||||
\(99\) | 8.55626 | 0.859937 | ||||||||
\(100\) | −15.8915 | + | 11.5459i | −1.58915 | + | 1.15459i | ||||
\(101\) | 3.35318 | + | 2.43623i | 0.333654 | + | 0.242414i | 0.741980 | − | 0.670422i | \(-0.233887\pi\) |
−0.408325 | + | 0.912836i | \(0.633887\pi\) | |||||||
\(102\) | −3.98994 | − | 2.89886i | −0.395063 | − | 0.287030i | ||||
\(103\) | 1.74370 | + | 5.36654i | 0.171811 | + | 0.528781i | 0.999474 | − | 0.0324455i | \(-0.0103296\pi\) |
−0.827662 | + | 0.561227i | \(0.810330\pi\) | |||||||
\(104\) | −5.97587 | + | 4.34172i | −0.585982 | + | 0.425741i | ||||
\(105\) | 1.27938 | + | 3.93752i | 0.124855 | + | 0.384263i | ||||
\(106\) | 3.72066 | − | 11.4510i | 0.361382 | − | 1.11222i | ||||
\(107\) | 1.27889 | + | 0.929166i | 0.123635 | + | 0.0898258i | 0.647884 | − | 0.761739i | \(-0.275654\pi\) |
−0.524250 | + | 0.851565i | \(0.675654\pi\) | |||||||
\(108\) | −1.36756 | + | 4.20891i | −0.131593 | + | 0.405003i | ||||
\(109\) | 4.32317 | − | 13.3053i | 0.414084 | − | 1.27442i | −0.498983 | − | 0.866612i | \(-0.666293\pi\) |
0.913067 | − | 0.407809i | \(-0.133707\pi\) | |||||||
\(110\) | −23.2327 | − | 16.8795i | −2.21515 | − | 1.60940i | ||||
\(111\) | −2.78289 | + | 8.56485i | −0.264140 | + | 0.812939i | ||||
\(112\) | −0.374409 | − | 1.15231i | −0.0353783 | − | 0.108883i | ||||
\(113\) | 13.2634 | − | 9.63640i | 1.24771 | − | 0.906516i | 0.249625 | − | 0.968342i | \(-0.419693\pi\) |
0.998087 | + | 0.0618264i | \(0.0196925\pi\) | |||||||
\(114\) | 1.73529 | + | 5.34068i | 0.162525 | + | 0.500200i | ||||
\(115\) | 12.6421 | + | 9.18505i | 1.17889 | + | 0.856511i | ||||
\(116\) | 17.6777 | + | 12.8436i | 1.64133 | + | 1.19250i | ||||
\(117\) | −10.1406 | + | 7.36757i | −0.937497 | + | 0.681132i | ||||
\(118\) | −16.3545 | −1.50555 | ||||||||
\(119\) | 0.510487 | 0.0467962 | ||||||||
\(120\) | −8.75384 | + | 6.36004i | −0.799113 | + | 0.580589i | ||||
\(121\) | 1.01458 | − | 3.12256i | 0.0922346 | − | 0.283869i | ||||
\(122\) | −5.87849 | − | 18.0921i | −0.532213 | − | 1.63798i | ||||
\(123\) | 9.96328 | 0.898359 | ||||||||
\(124\) | 5.07597 | − | 13.6799i | 0.455836 | − | 1.22849i | ||||
\(125\) | 8.82105 | 0.788979 | ||||||||
\(126\) | 0.767697 | + | 2.36273i | 0.0683918 | + | 0.210488i | ||||
\(127\) | −4.48163 | + | 13.7930i | −0.397680 | + | 1.22393i | 0.529175 | + | 0.848513i | \(0.322502\pi\) |
−0.926855 | + | 0.375420i | \(0.877498\pi\) | |||||||
\(128\) | 8.21909 | − | 5.97152i | 0.726471 | − | 0.527812i | ||||
\(129\) | 18.7300 | 1.64909 | ||||||||
\(130\) | 42.0690 | 3.68970 | ||||||||
\(131\) | −16.3949 | + | 11.9116i | −1.43243 | + | 1.04072i | −0.442867 | + | 0.896587i | \(0.646039\pi\) |
−0.989559 | + | 0.144131i | \(0.953961\pi\) | |||||||
\(132\) | −18.3840 | − | 13.3567i | −1.60012 | − | 1.16255i | ||||
\(133\) | −0.470244 | − | 0.341652i | −0.0407753 | − | 0.0296250i | ||||
\(134\) | −1.72275 | − | 5.30207i | −0.148823 | − | 0.458029i | ||||
\(135\) | 4.82931 | − | 3.50870i | 0.415641 | − | 0.301981i | ||||
\(136\) | 0.412279 | + | 1.26886i | 0.0353526 | + | 0.108804i | ||||
\(137\) | 1.20145 | − | 3.69768i | 0.102647 | − | 0.315914i | −0.886524 | − | 0.462682i | \(-0.846887\pi\) |
0.989171 | + | 0.146768i | \(0.0468872\pi\) | |||||||
\(138\) | 17.6382 | + | 12.8149i | 1.50146 | + | 1.09088i | ||||
\(139\) | −0.735536 | + | 2.26375i | −0.0623874 | + | 0.192009i | −0.977392 | − | 0.211434i | \(-0.932187\pi\) |
0.915005 | + | 0.403443i | \(0.132187\pi\) | |||||||
\(140\) | 1.46135 | − | 4.49757i | 0.123506 | − | 0.380114i | ||||
\(141\) | −12.1720 | − | 8.84348i | −1.02507 | − | 0.744755i | ||||
\(142\) | 4.48296 | − | 13.7971i | 0.376202 | − | 1.15783i | ||||
\(143\) | 6.46592 | + | 19.9001i | 0.540708 | + | 1.66413i | ||||
\(144\) | 4.34718 | − | 3.15841i | 0.362265 | − | 0.263201i | ||||
\(145\) | −9.10783 | − | 28.0310i | −0.756364 | − | 2.32785i | ||||
\(146\) | 12.1178 | + | 8.80406i | 1.00287 | + | 0.728630i | ||||
\(147\) | 12.5094 | + | 9.08860i | 1.03176 | + | 0.749615i | ||||
\(148\) | 8.32196 | − | 6.04626i | 0.684061 | − | 0.496999i | ||||
\(149\) | −5.30060 | −0.434242 | −0.217121 | − | 0.976145i | \(-0.569667\pi\) | ||||
−0.217121 | + | 0.976145i | \(0.569667\pi\) | |||||||
\(150\) | 36.9662 | 3.01828 | ||||||||
\(151\) | 16.4256 | − | 11.9339i | 1.33670 | − | 0.971168i | 0.337140 | − | 0.941454i | \(-0.390540\pi\) |
0.999558 | − | 0.0297140i | \(-0.00945967\pi\) | |||||||
\(152\) | 0.469432 | − | 1.44476i | 0.0380759 | − | 0.117186i | ||||
\(153\) | 0.699605 | + | 2.15316i | 0.0565597 | + | 0.174073i | ||||
\(154\) | 4.14715 | 0.334187 | ||||||||
\(155\) | −16.3850 | + | 10.9037i | −1.31608 | + | 0.875803i | ||||
\(156\) | 33.2891 | 2.66527 | ||||||||
\(157\) | 5.22243 | + | 16.0730i | 0.416796 | + | 1.28277i | 0.910635 | + | 0.413212i | \(0.135593\pi\) |
−0.493839 | + | 0.869553i | \(0.664407\pi\) | |||||||
\(158\) | −3.69755 | + | 11.3799i | −0.294162 | + | 0.905337i | ||||
\(159\) | −10.3968 | + | 7.55371i | −0.824519 | + | 0.599048i | ||||
\(160\) | −27.4669 | −2.17145 | ||||||||
\(161\) | −2.25669 | −0.177852 | ||||||||
\(162\) | 18.5492 | − | 13.4768i | 1.45736 | − | 1.05884i | ||||
\(163\) | −7.65005 | − | 5.55808i | −0.599198 | − | 0.435343i | 0.246396 | − | 0.969169i | \(-0.420754\pi\) |
−0.845594 | + | 0.533826i | \(0.820754\pi\) | |||||||
\(164\) | −9.20693 | − | 6.68922i | −0.718940 | − | 0.522341i | ||||
\(165\) | 9.47170 | + | 29.1509i | 0.737371 | + | 2.26940i | ||||
\(166\) | 28.5278 | − | 20.7266i | 2.21418 | − | 1.60870i | ||||
\(167\) | −0.659431 | − | 2.02952i | −0.0510283 | − | 0.157049i | 0.922295 | − | 0.386486i | \(-0.126311\pi\) |
−0.973323 | + | 0.229437i | \(0.926311\pi\) | |||||||
\(168\) | 0.482872 | − | 1.48613i | 0.0372544 | − | 0.114657i | ||||
\(169\) | −14.2814 | − | 10.3760i | −1.09857 | − | 0.798156i | ||||
\(170\) | 2.34806 | − | 7.22660i | 0.180088 | − | 0.554255i | ||||
\(171\) | 0.796589 | − | 2.45165i | 0.0609167 | − | 0.187482i | ||||
\(172\) | −17.3081 | − | 12.5751i | −1.31973 | − | 0.958842i | ||||
\(173\) | 0.170827 | − | 0.525751i | 0.0129877 | − | 0.0399721i | −0.944353 | − | 0.328935i | \(-0.893310\pi\) |
0.957340 | + | 0.288963i | \(0.0933104\pi\) | |||||||
\(174\) | −12.7072 | − | 39.1086i | −0.963327 | − | 2.96481i | ||||
\(175\) | −3.09555 | + | 2.24905i | −0.234002 | + | 0.170012i | ||||
\(176\) | −2.77189 | − | 8.53099i | −0.208939 | − | 0.643048i | ||||
\(177\) | 14.1221 | + | 10.2603i | 1.06148 | + | 0.771211i | ||||
\(178\) | −24.1864 | − | 17.5725i | −1.81285 | − | 1.31711i | ||||
\(179\) | −8.44856 | + | 6.13824i | −0.631475 | + | 0.458793i | −0.856911 | − | 0.515465i | \(-0.827619\pi\) |
0.225436 | + | 0.974258i | \(0.427619\pi\) | |||||||
\(180\) | 20.9729 | 1.56322 | ||||||||
\(181\) | −6.08760 | −0.452488 | −0.226244 | − | 0.974071i | \(-0.572645\pi\) | ||||
−0.226244 | + | 0.974071i | \(0.572645\pi\) | |||||||
\(182\) | −4.91506 | + | 3.57100i | −0.364329 | + | 0.264700i | ||||
\(183\) | −6.27437 | + | 19.3105i | −0.463815 | + | 1.42747i | ||||
\(184\) | −1.82255 | − | 5.60922i | −0.134360 | − | 0.413517i | ||||
\(185\) | −13.8750 | −1.02011 | ||||||||
\(186\) | −22.8602 | + | 15.2127i | −1.67619 | + | 1.11545i | ||||
\(187\) | 3.77932 | 0.276371 | ||||||||
\(188\) | 5.31057 | + | 16.3443i | 0.387313 | + | 1.19203i | ||||
\(189\) | −0.266391 | + | 0.819866i | −0.0193771 | + | 0.0596365i | ||||
\(190\) | −6.99949 | + | 5.08543i | −0.507797 | + | 0.368936i | ||||
\(191\) | 8.08833 | 0.585251 | 0.292626 | − | 0.956227i | \(-0.405471\pi\) | ||||
0.292626 | + | 0.956227i | \(0.405471\pi\) | |||||||
\(192\) | −27.4305 | −1.97963 | ||||||||
\(193\) | 13.8715 | − | 10.0782i | 0.998490 | − | 0.725445i | 0.0367260 | − | 0.999325i | \(-0.488307\pi\) |
0.961764 | + | 0.273880i | \(0.0883071\pi\) | |||||||
\(194\) | 1.29010 | + | 0.937312i | 0.0926237 | + | 0.0672951i | ||||
\(195\) | −36.3266 | − | 26.3928i | −2.60140 | − | 1.89003i | ||||
\(196\) | −5.45777 | − | 16.7973i | −0.389841 | − | 1.19981i | ||||
\(197\) | 6.25896 | − | 4.54740i | 0.445933 | − | 0.323989i | −0.342055 | − | 0.939680i | \(-0.611123\pi\) |
0.787988 | + | 0.615691i | \(0.211123\pi\) | |||||||
\(198\) | 5.68354 | + | 17.4921i | 0.403911 | + | 1.24311i | ||||
\(199\) | 6.63102 | − | 20.4082i | 0.470061 | − | 1.44670i | −0.382444 | − | 0.923979i | \(-0.624918\pi\) |
0.852505 | − | 0.522719i | \(-0.175082\pi\) | |||||||
\(200\) | −8.09026 | − | 5.87792i | −0.572068 | − | 0.415632i | ||||
\(201\) | −1.83877 | + | 5.65914i | −0.129697 | + | 0.399165i | ||||
\(202\) | −2.75318 | + | 8.47341i | −0.193713 | + | 0.596187i | ||||
\(203\) | 3.44349 | + | 2.50184i | 0.241686 | + | 0.175595i | ||||
\(204\) | 1.85802 | − | 5.71840i | 0.130087 | − | 0.400368i | ||||
\(205\) | 4.74355 | + | 14.5991i | 0.331304 | + | 1.01965i | ||||
\(206\) | −9.81292 | + | 7.12950i | −0.683698 | + | 0.496736i | ||||
\(207\) | −3.09272 | − | 9.51841i | −0.214959 | − | 0.661575i | ||||
\(208\) | 10.6310 | + | 7.72384i | 0.737124 | + | 0.535552i | ||||
\(209\) | −3.48139 | − | 2.52938i | −0.240813 | − | 0.174961i | ||||
\(210\) | −7.19990 | + | 5.23103i | −0.496840 | + | 0.360976i | ||||
\(211\) | 6.43971 | 0.443328 | 0.221664 | − | 0.975123i | \(-0.428851\pi\) | ||||
0.221664 | + | 0.975123i | \(0.428851\pi\) | |||||||
\(212\) | 14.6790 | 1.00816 | ||||||||
\(213\) | −12.5269 | + | 9.10135i | −0.858331 | + | 0.623614i | ||||
\(214\) | −1.05005 | + | 3.23171i | −0.0717798 | + | 0.220915i | ||||
\(215\) | 8.91742 | + | 27.4450i | 0.608163 | + | 1.87173i | ||||
\(216\) | −2.25300 | −0.153297 | ||||||||
\(217\) | 0.988764 | − | 2.66474i | 0.0671217 | − | 0.180894i | ||||
\(218\) | 30.0727 | 2.03678 | ||||||||
\(219\) | −4.94028 | − | 15.2046i | −0.333833 | − | 1.02743i | ||||
\(220\) | 10.8189 | − | 33.2971i | 0.729410 | − | 2.24489i | ||||
\(221\) | −4.47912 | + | 3.25427i | −0.301298 | + | 0.218906i | ||||
\(222\) | −19.3582 | −1.29924 | ||||||||
\(223\) | −20.7666 | −1.39063 | −0.695316 | − | 0.718704i | \(-0.744736\pi\) | ||||
−0.695316 | + | 0.718704i | \(0.744736\pi\) | |||||||
\(224\) | 3.20904 | − | 2.33151i | 0.214413 | − | 0.155780i | ||||
\(225\) | −13.7285 | − | 9.97437i | −0.915237 | − | 0.664958i | ||||
\(226\) | 28.5106 | + | 20.7141i | 1.89649 | + | 1.37788i | ||||
\(227\) | 4.67596 | + | 14.3911i | 0.310354 | + | 0.955173i | 0.977625 | + | 0.210357i | \(0.0674627\pi\) |
−0.667270 | + | 0.744816i | \(0.732537\pi\) | |||||||
\(228\) | −5.53869 | + | 4.02409i | −0.366809 | + | 0.266502i | ||||
\(229\) | −2.08439 | − | 6.41508i | −0.137740 | − | 0.423921i | 0.858266 | − | 0.513205i | \(-0.171542\pi\) |
−0.996006 | + | 0.0892845i | \(0.971542\pi\) | |||||||
\(230\) | −10.3800 | + | 31.9464i | −0.684437 | + | 2.10648i | ||||
\(231\) | −3.58107 | − | 2.60180i | −0.235617 | − | 0.171186i | ||||
\(232\) | −3.43754 | + | 10.5797i | −0.225686 | + | 0.694589i | ||||
\(233\) | 7.10336 | − | 21.8619i | 0.465357 | − | 1.43222i | −0.393177 | − | 0.919463i | \(-0.628624\pi\) |
0.858534 | − | 0.512757i | \(-0.171376\pi\) | |||||||
\(234\) | −21.7979 | − | 15.8371i | −1.42497 | − | 1.03530i | ||||
\(235\) | 7.16317 | − | 22.0460i | 0.467274 | − | 1.43812i | ||||
\(236\) | −6.16138 | − | 18.9628i | −0.401072 | − | 1.23437i | ||||
\(237\) | 10.3322 | − | 7.50681i | 0.671151 | − | 0.487620i | ||||
\(238\) | 0.339093 | + | 1.04362i | 0.0219801 | + | 0.0676479i | ||||
\(239\) | 24.5336 | + | 17.8247i | 1.58695 | + | 1.15299i | 0.908138 | + | 0.418671i | \(0.137504\pi\) |
0.678810 | + | 0.734314i | \(0.262496\pi\) | |||||||
\(240\) | 15.5729 | + | 11.3144i | 1.00523 | + | 0.730340i | ||||
\(241\) | 11.7927 | − | 8.56789i | 0.759634 | − | 0.551907i | −0.139164 | − | 0.990269i | \(-0.544442\pi\) |
0.898798 | + | 0.438363i | \(0.144442\pi\) | |||||||
\(242\) | 7.05759 | 0.453679 | ||||||||
\(243\) | −19.4061 | −1.24490 | ||||||||
\(244\) | 18.7629 | − | 13.6320i | 1.20117 | − | 0.872702i | ||||
\(245\) | −7.36172 | + | 22.6570i | −0.470323 | + | 1.44751i | ||||
\(246\) | 6.61815 | + | 20.3686i | 0.421958 | + | 1.29865i | ||||
\(247\) | 6.30400 | 0.401114 | ||||||||
\(248\) | 7.42201 | + | 0.305572i | 0.471298 | + | 0.0194038i | ||||
\(249\) | −37.6370 | −2.38515 | ||||||||
\(250\) | 5.85942 | + | 18.0334i | 0.370582 | + | 1.14054i | ||||
\(251\) | −3.26930 | + | 10.0619i | −0.206356 | + | 0.635100i | 0.793299 | + | 0.608833i | \(0.208362\pi\) |
−0.999655 | + | 0.0262669i | \(0.991638\pi\) | |||||||
\(252\) | −2.45033 | + | 1.78027i | −0.154356 | + | 0.112146i | ||||
\(253\) | −16.7071 | −1.05037 | ||||||||
\(254\) | −31.1749 | −1.95609 | ||||||||
\(255\) | −6.56130 | + | 4.76706i | −0.410885 | + | 0.298525i | ||||
\(256\) | −1.67732 | − | 1.21864i | −0.104832 | − | 0.0761652i | ||||
\(257\) | 9.01052 | + | 6.54653i | 0.562061 | + | 0.408361i | 0.832213 | − | 0.554457i | \(-0.187074\pi\) |
−0.270152 | + | 0.962818i | \(0.587074\pi\) | |||||||
\(258\) | 12.4415 | + | 38.2910i | 0.774574 | + | 2.38389i | ||||
\(259\) | 1.62106 | − | 1.17777i | 0.100728 | − | 0.0731829i | ||||
\(260\) | 15.8491 | + | 48.7784i | 0.982918 | + | 3.02511i | ||||
\(261\) | −5.83324 | + | 17.9529i | −0.361069 | + | 1.11125i | ||||
\(262\) | −35.2419 | − | 25.6048i | −2.17725 | − | 1.58187i | ||||
\(263\) | 3.08935 | − | 9.50803i | 0.190497 | − | 0.586290i | −0.809502 | − | 0.587117i | \(-0.800263\pi\) |
1.00000 | 0.000826345i | \(0.000263034\pi\) | ||||||||
\(264\) | 3.57488 | − | 11.0023i | 0.220019 | − | 0.677148i | ||||
\(265\) | −16.0184 | − | 11.6380i | −0.984001 | − | 0.714918i | ||||
\(266\) | 0.386100 | − | 1.18829i | 0.0236733 | − | 0.0728590i | ||||
\(267\) | 9.86054 | + | 30.3476i | 0.603455 | + | 1.85724i | ||||
\(268\) | 5.49865 | − | 3.99500i | 0.335884 | − | 0.244034i | ||||
\(269\) | 0.644683 | + | 1.98413i | 0.0393070 | + | 0.120975i | 0.968785 | − | 0.247904i | \(-0.0797418\pi\) |
−0.929478 | + | 0.368879i | \(0.879742\pi\) | |||||||
\(270\) | 10.3810 | + | 7.54221i | 0.631765 | + | 0.459004i | ||||
\(271\) | 14.1064 | + | 10.2489i | 0.856906 | + | 0.622578i | 0.927041 | − | 0.374959i | \(-0.122343\pi\) |
−0.0701357 | + | 0.997537i | \(0.522343\pi\) | |||||||
\(272\) | 1.92016 | − | 1.39508i | 0.116427 | − | 0.0845890i | ||||
\(273\) | 6.48449 | 0.392459 | ||||||||
\(274\) | 8.35747 | 0.504893 | ||||||||
\(275\) | −22.9175 | + | 16.6505i | −1.38198 | + | 1.00407i | ||||
\(276\) | −8.21368 | + | 25.2791i | −0.494405 | + | 1.52162i | ||||
\(277\) | 4.21552 | + | 12.9740i | 0.253286 | + | 0.779534i | 0.994163 | + | 0.107893i | \(0.0344103\pi\) |
−0.740877 | + | 0.671641i | \(0.765590\pi\) | |||||||
\(278\) | −5.11651 | −0.306868 | ||||||||
\(279\) | 12.5946 | + | 0.518531i | 0.754018 | + | 0.0310437i | ||||
\(280\) | 2.40751 | 0.143876 | ||||||||
\(281\) | 3.14441 | + | 9.67750i | 0.187580 | + | 0.577311i | 0.999983 | − | 0.00578455i | \(-0.00184129\pi\) |
−0.812404 | + | 0.583096i | \(0.801841\pi\) | |||||||
\(282\) | 9.99399 | − | 30.7583i | 0.595133 | − | 1.83163i | ||||
\(283\) | 2.73057 | − | 1.98387i | 0.162315 | − | 0.117929i | −0.503662 | − | 0.863901i | \(-0.668014\pi\) |
0.665978 | + | 0.745971i | \(0.268014\pi\) | |||||||
\(284\) | 17.6865 | 1.04950 | ||||||||
\(285\) | 9.23450 | 0.547005 | ||||||||
\(286\) | −36.3880 | + | 26.4374i | −2.15167 | + | 1.56328i | ||||
\(287\) | −1.79344 | − | 1.30301i | −0.105864 | − | 0.0769144i | ||||
\(288\) | 14.2319 | + | 10.3401i | 0.838621 | + | 0.609294i | ||||
\(289\) | 0.309017 | + | 0.951057i | 0.0181775 | + | 0.0559445i | ||||
\(290\) | 51.2557 | − | 37.2395i | 3.00984 | − | 2.18678i | ||||
\(291\) | −0.525960 | − | 1.61874i | −0.0308323 | − | 0.0948921i | ||||
\(292\) | −5.64295 | + | 17.3672i | −0.330229 | + | 1.01634i | ||||
\(293\) | −16.4635 | − | 11.9615i | −0.961810 | − | 0.698796i | −0.00823960 | − | 0.999966i | \(-0.502623\pi\) |
−0.953570 | + | 0.301170i | \(0.902623\pi\) | |||||||
\(294\) | −10.2710 | + | 31.6109i | −0.599017 | + | 1.84358i | ||||
\(295\) | −8.31079 | + | 25.5780i | −0.483873 | + | 1.48921i | ||||
\(296\) | 4.23665 | + | 3.07811i | 0.246251 | + | 0.178911i | ||||
\(297\) | −1.97219 | + | 6.06977i | −0.114438 | + | 0.352204i | ||||
\(298\) | −3.52095 | − | 10.8364i | −0.203963 | − | 0.627733i | ||||
\(299\) | 19.8007 | − | 14.3860i | 1.14510 | − | 0.831965i | ||||
\(300\) | 13.9267 | + | 42.8618i | 0.804056 | + | 2.47463i | ||||
\(301\) | −3.37150 | − | 2.44954i | −0.194330 | − | 0.141189i | ||||
\(302\) | 35.3081 | + | 25.6528i | 2.03175 | + | 1.47615i | ||||
\(303\) | 7.69332 | − | 5.58953i | 0.441970 | − | 0.321110i | ||||
\(304\) | −2.70247 | −0.154997 | ||||||||
\(305\) | −31.2829 | −1.79125 | ||||||||
\(306\) | −3.93714 | + | 2.86050i | −0.225071 | + | 0.163524i | ||||
\(307\) | −4.46776 | + | 13.7504i | −0.254989 | + | 0.784774i | 0.738843 | + | 0.673877i | \(0.235372\pi\) |
−0.993832 | + | 0.110897i | \(0.964628\pi\) | |||||||
\(308\) | 1.56240 | + | 4.80857i | 0.0890259 | + | 0.273993i | ||||
\(309\) | 12.9463 | 0.736488 | ||||||||
\(310\) | −33.1749 | − | 26.2541i | −1.88421 | − | 1.49113i | ||||
\(311\) | −12.3048 | −0.697743 | −0.348872 | − | 0.937171i | \(-0.613435\pi\) | ||||
−0.348872 | + | 0.937171i | \(0.613435\pi\) | |||||||
\(312\) | 5.23700 | + | 16.1178i | 0.296487 | + | 0.912492i | ||||
\(313\) | −0.551009 | + | 1.69583i | −0.0311449 | + | 0.0958541i | −0.965421 | − | 0.260697i | \(-0.916048\pi\) |
0.934276 | + | 0.356551i | \(0.116048\pi\) | |||||||
\(314\) | −29.3901 | + | 21.3531i | −1.65858 | + | 1.20503i | ||||
\(315\) | 4.08536 | 0.230184 | ||||||||
\(316\) | −14.5879 | −0.820631 | ||||||||
\(317\) | −20.0514 | + | 14.5682i | −1.12620 | + | 0.818231i | −0.985137 | − | 0.171769i | \(-0.945052\pi\) |
−0.141062 | + | 0.990001i | \(0.545052\pi\) | |||||||
\(318\) | −22.3487 | − | 16.2373i | −1.25325 | − | 0.910540i | ||||
\(319\) | 25.4934 | + | 18.5221i | 1.42736 | + | 1.03704i | ||||
\(320\) | −13.0598 | − | 40.1938i | −0.730063 | − | 2.24690i | ||||
\(321\) | 2.93419 | − | 2.13182i | 0.163771 | − | 0.118986i | ||||
\(322\) | −1.49902 | − | 4.61350i | −0.0835369 | − | 0.257100i | ||||
\(323\) | 0.351855 | − | 1.08290i | 0.0195777 | − | 0.0602541i | ||||
\(324\) | 22.6144 | + | 16.4303i | 1.25635 | + | 0.912795i | ||||
\(325\) | 12.8237 | − | 39.4673i | 0.711331 | − | 2.18925i | ||||
\(326\) | 6.28118 | − | 19.3315i | 0.347882 | − | 1.07067i | ||||
\(327\) | −25.9677 | − | 18.8667i | −1.43602 | − | 1.04333i | ||||
\(328\) | 1.79035 | − | 5.51012i | 0.0988553 | − | 0.304245i | ||||
\(329\) | 1.03446 | + | 3.18375i | 0.0570317 | + | 0.175526i | ||||
\(330\) | −53.3035 | + | 38.7273i | −2.93426 | + | 2.13186i | ||||
\(331\) | 10.6988 | + | 32.9275i | 0.588059 | + | 1.80986i | 0.586624 | + | 0.809859i | \(0.300457\pi\) |
0.00143424 | + | 0.999999i | \(0.499543\pi\) | |||||||
\(332\) | 34.7798 | + | 25.2690i | 1.90879 | + | 1.38682i | ||||
\(333\) | 7.18927 | + | 5.22331i | 0.393970 | + | 0.286236i | ||||
\(334\) | 3.71105 | − | 2.69624i | 0.203060 | − | 0.147532i | ||||
\(335\) | −9.16775 | −0.500888 | ||||||||
\(336\) | −2.77985 | −0.151653 | ||||||||
\(337\) | 29.2572 | − | 21.2566i | 1.59374 | − | 1.15792i | 0.695395 | − | 0.718628i | \(-0.255230\pi\) |
0.898345 | − | 0.439291i | \(-0.144770\pi\) | |||||||
\(338\) | 11.7259 | − | 36.0887i | 0.637806 | − | 1.96296i | ||||
\(339\) | −11.6235 | − | 35.7733i | −0.631299 | − | 1.94294i | ||||
\(340\) | 9.26375 | 0.502397 | ||||||||
\(341\) | 7.32018 | − | 19.7280i | 0.396410 | − | 1.06833i | ||||
\(342\) | 5.54120 | 0.299634 | ||||||||
\(343\) | −2.16738 | − | 6.67050i | −0.117027 | − | 0.360173i | ||||
\(344\) | 3.36568 | − | 10.3585i | 0.181465 | − | 0.558492i | ||||
\(345\) | 29.0053 | − | 21.0736i | 1.56159 | − | 1.13456i | ||||
\(346\) | 1.18830 | 0.0638834 | ||||||||
\(347\) | 2.73797 | 0.146982 | 0.0734910 | − | 0.997296i | \(-0.476586\pi\) | ||||
0.0734910 | + | 0.997296i | \(0.476586\pi\) | |||||||
\(348\) | 40.5586 | − | 29.4675i | 2.17417 | − | 1.57963i | ||||
\(349\) | 16.2885 | + | 11.8343i | 0.871904 | + | 0.633476i | 0.931097 | − | 0.364771i | \(-0.118853\pi\) |
−0.0591929 | + | 0.998247i | \(0.518853\pi\) | |||||||
\(350\) | −6.65412 | − | 4.83450i | −0.355678 | − | 0.258415i | ||||
\(351\) | −2.88914 | − | 8.89187i | −0.154211 | − | 0.474613i | ||||
\(352\) | 23.7577 | − | 17.2610i | 1.26629 | − | 0.920014i | ||||
\(353\) | 11.2009 | + | 34.4729i | 0.596164 | + | 1.83480i | 0.548843 | + | 0.835925i | \(0.315068\pi\) |
0.0473210 | + | 0.998880i | \(0.484932\pi\) | |||||||
\(354\) | −11.5951 | + | 35.6861i | −0.616274 | + | 1.89670i | ||||
\(355\) | −19.3003 | − | 14.0225i | −1.02435 | − | 0.744235i | ||||
\(356\) | 11.2630 | − | 34.6640i | 0.596939 | − | 1.83719i | ||||
\(357\) | 0.361929 | − | 1.11390i | 0.0191553 | − | 0.0589540i | ||||
\(358\) | −18.1608 | − | 13.1946i | −0.959828 | − | 0.697356i | ||||
\(359\) | 3.14034 | − | 9.66498i | 0.165741 | − | 0.510098i | −0.833349 | − | 0.552747i | \(-0.813580\pi\) |
0.999090 | + | 0.0426487i | \(0.0135796\pi\) | |||||||
\(360\) | 3.29942 | + | 10.1546i | 0.173895 | + | 0.535192i | ||||
\(361\) | 14.3225 | − | 10.4059i | 0.753813 | − | 0.547678i | ||||
\(362\) | −4.04372 | − | 12.4453i | −0.212533 | − | 0.654109i | ||||
\(363\) | −6.09423 | − | 4.42771i | −0.319864 | − | 0.232395i | ||||
\(364\) | −5.99222 | − | 4.35361i | −0.314078 | − | 0.228191i | ||||
\(365\) | 19.9272 | − | 14.4779i | 1.04304 | − | 0.757810i | ||||
\(366\) | −43.6455 | −2.28139 | ||||||||
\(367\) | 4.71644 | 0.246196 | 0.123098 | − | 0.992395i | \(-0.460717\pi\) | ||||
0.123098 | + | 0.992395i | \(0.460717\pi\) | |||||||
\(368\) | −8.48838 | + | 6.16717i | −0.442487 | + | 0.321486i | ||||
\(369\) | 3.03808 | − | 9.35024i | 0.158156 | − | 0.486754i | ||||
\(370\) | −9.21652 | − | 28.3655i | −0.479144 | − | 1.47465i | ||||
\(371\) | 2.85936 | 0.148451 | ||||||||
\(372\) | −26.2512 | − | 20.7749i | −1.36106 | − | 1.07713i | ||||
\(373\) | 20.0533 | 1.03832 | 0.519159 | − | 0.854677i | \(-0.326245\pi\) | ||||
0.519159 | + | 0.854677i | \(0.326245\pi\) | |||||||
\(374\) | 2.51043 | + | 7.72631i | 0.129811 | + | 0.399518i | ||||
\(375\) | 6.25402 | − | 19.2479i | 0.322956 | − | 0.993957i | ||||
\(376\) | −7.07806 | + | 5.14251i | −0.365023 | + | 0.265205i | ||||
\(377\) | −46.1627 | −2.37750 | ||||||||
\(378\) | −1.85306 | −0.0953110 | ||||||||
\(379\) | 19.9728 | − | 14.5111i | 1.02593 | − | 0.745383i | 0.0584410 | − | 0.998291i | \(-0.481387\pi\) |
0.967490 | + | 0.252908i | \(0.0813870\pi\) | |||||||
\(380\) | −8.53347 | − | 6.19993i | −0.437758 | − | 0.318050i | ||||
\(381\) | 26.9195 | + | 19.5582i | 1.37913 | + | 1.00200i | ||||
\(382\) | 5.37271 | + | 16.5355i | 0.274892 | + | 0.846030i | ||||
\(383\) | 12.5016 | − | 9.08294i | 0.638802 | − | 0.464117i | −0.220636 | − | 0.975356i | \(-0.570813\pi\) |
0.859438 | + | 0.511239i | \(0.170813\pi\) | |||||||
\(384\) | −7.20286 | − | 22.1681i | −0.367569 | − | 1.13126i | ||||
\(385\) | 2.10744 | − | 6.48604i | 0.107405 | − | 0.330559i | ||||
\(386\) | 29.8177 | + | 21.6638i | 1.51768 | + | 1.10266i | ||||
\(387\) | 5.71129 | − | 17.5775i | 0.290321 | − | 0.893517i | ||||
\(388\) | −0.600768 | + | 1.84897i | −0.0304994 | + | 0.0938675i | ||||
\(389\) | −8.73972 | − | 6.34978i | −0.443122 | − | 0.321947i | 0.343752 | − | 0.939060i | \(-0.388302\pi\) |
−0.786874 | + | 0.617114i | \(0.788302\pi\) | |||||||
\(390\) | 29.8264 | − | 91.7964i | 1.51032 | − | 4.64829i | ||||
\(391\) | −1.36606 | − | 4.20430i | −0.0690846 | − | 0.212621i | ||||
\(392\) | 7.27424 | − | 5.28505i | 0.367405 | − | 0.266935i | ||||
\(393\) | 14.3678 | + | 44.2194i | 0.724758 | + | 2.23057i | ||||
\(394\) | 13.4541 | + | 9.77497i | 0.677808 | + | 0.492456i | ||||
\(395\) | 15.9189 | + | 11.5658i | 0.800967 | + | 0.581937i | ||||
\(396\) | −18.1407 | + | 13.1800i | −0.911603 | + | 0.662318i | ||||
\(397\) | −0.835138 | −0.0419144 | −0.0209572 | − | 0.999780i | \(-0.506671\pi\) | ||||
−0.0209572 | + | 0.999780i | \(0.506671\pi\) | |||||||
\(398\) | 46.1265 | 2.31211 | ||||||||
\(399\) | −1.07890 | + | 0.783865i | −0.0540124 | + | 0.0392423i | ||||
\(400\) | −5.49741 | + | 16.9193i | −0.274871 | + | 0.845965i | ||||
\(401\) | 6.16870 | + | 18.9853i | 0.308050 | + | 0.948081i | 0.978521 | + | 0.206145i | \(0.0660920\pi\) |
−0.670471 | + | 0.741936i | \(0.733908\pi\) | |||||||
\(402\) | −12.7908 | −0.637945 | ||||||||
\(403\) | 8.31166 | + | 29.6842i | 0.414033 | + | 1.47867i | ||||
\(404\) | −10.8620 | −0.540406 | ||||||||
\(405\) | −11.6513 | − | 35.8590i | −0.578957 | − | 1.78185i | ||||
\(406\) | −2.82733 | + | 8.70162i | −0.140318 | + | 0.431854i | ||||
\(407\) | 12.0013 | − | 8.71945i | 0.594882 | − | 0.432207i | ||||
\(408\) | 3.06101 | 0.151543 | ||||||||
\(409\) | 25.8474 | 1.27807 | 0.639036 | − | 0.769177i | \(-0.279334\pi\) | ||||
0.639036 | + | 0.769177i | \(0.279334\pi\) | |||||||
\(410\) | −26.6951 | + | 19.3951i | −1.31838 | + | 0.957856i | ||||
\(411\) | −7.21667 | − | 5.24322i | −0.355972 | − | 0.258629i | ||||
\(412\) | −11.9635 | − | 8.69197i | −0.589398 | − | 0.428223i | ||||
\(413\) | −1.20019 | − | 3.69381i | −0.0590576 | − | 0.181761i | ||||
\(414\) | 17.4048 | − | 12.6453i | 0.855397 | − | 0.621482i | ||||
\(415\) | −17.9191 | − | 55.1493i | −0.879613 | − | 2.70717i | ||||
\(416\) | −13.2938 | + | 40.9143i | −0.651784 | + | 2.00599i | ||||
\(417\) | 4.41811 | + | 3.20994i | 0.216356 | + | 0.157192i | ||||
\(418\) | 2.85844 | − | 8.79738i | 0.139811 | − | 0.430294i | ||||
\(419\) | −0.0740467 | + | 0.227892i | −0.00361742 | + | 0.0111333i | −0.952849 | − | 0.303445i | \(-0.901863\pi\) |
0.949232 | + | 0.314578i | \(0.101863\pi\) | |||||||
\(420\) | −8.77780 | − | 6.37744i | −0.428313 | − | 0.311187i | ||||
\(421\) | 2.54412 | − | 7.83000i | 0.123993 | − | 0.381611i | −0.869723 | − | 0.493539i | \(-0.835703\pi\) |
0.993716 | + | 0.111929i | \(0.0357029\pi\) | |||||||
\(422\) | 4.27761 | + | 13.1651i | 0.208231 | + | 0.640868i | ||||
\(423\) | −12.0109 | + | 8.72644i | −0.583990 | + | 0.424294i | ||||
\(424\) | 2.30928 | + | 7.10723i | 0.112148 | + | 0.345157i | ||||
\(425\) | −6.06393 | − | 4.40570i | −0.294144 | − | 0.213708i | ||||
\(426\) | −26.9275 | − | 19.5640i | −1.30464 | − | 0.947879i | ||||
\(427\) | 3.65488 | − | 2.65543i | 0.176872 | − | 0.128505i | ||||
\(428\) | −4.14272 | −0.200246 | ||||||||
\(429\) | 48.0070 | 2.31780 | ||||||||
\(430\) | −50.1842 | + | 36.4609i | −2.42010 | + | 1.75830i | ||||
\(431\) | 10.6232 | − | 32.6947i | 0.511699 | − | 1.57485i | −0.277509 | − | 0.960723i | \(-0.589509\pi\) |
0.789209 | − | 0.614125i | \(-0.210491\pi\) | |||||||
\(432\) | 1.23855 | + | 3.81187i | 0.0595899 | + | 0.183399i | ||||
\(433\) | 28.4726 | 1.36831 | 0.684153 | − | 0.729338i | \(-0.260172\pi\) | ||||
0.684153 | + | 0.729338i | \(0.260172\pi\) | |||||||
\(434\) | 6.10449 | + | 0.251328i | 0.293025 | + | 0.0120641i | ||||
\(435\) | −67.6222 | −3.24224 | ||||||||
\(436\) | 11.3296 | + | 34.8688i | 0.542588 | + | 1.66991i | ||||
\(437\) | −1.55543 | + | 4.78713i | −0.0744064 | + | 0.228999i | ||||
\(438\) | 27.8022 | − | 20.1995i | 1.32844 | − | 0.965168i | ||||
\(439\) | 19.1218 | 0.912635 | 0.456317 | − | 0.889817i | \(-0.349168\pi\) | ||||
0.456317 | + | 0.889817i | \(0.349168\pi\) | |||||||
\(440\) | 17.8237 | 0.849711 | ||||||||
\(441\) | 12.3438 | − | 8.96831i | 0.587801 | − | 0.427063i | ||||
\(442\) | −9.62819 | − | 6.99529i | −0.457966 | − | 0.332732i | ||||
\(443\) | −12.2502 | − | 8.90032i | −0.582027 | − | 0.422867i | 0.257427 | − | 0.966298i | \(-0.417125\pi\) |
−0.839454 | + | 0.543430i | \(0.817125\pi\) | |||||||
\(444\) | −7.29301 | − | 22.4456i | −0.346111 | − | 1.06522i | ||||
\(445\) | −39.7736 | + | 28.8972i | −1.88545 | + | 1.36986i | ||||
\(446\) | −13.7943 | − | 42.4545i | −0.653179 | − | 2.01028i | ||||
\(447\) | −3.75806 | + | 11.5661i | −0.177750 | + | 0.547059i | ||||
\(448\) | 4.93764 | + | 3.58741i | 0.233282 | + | 0.169489i | ||||
\(449\) | −5.74482 | + | 17.6807i | −0.271115 | + | 0.834406i | 0.719106 | + | 0.694900i | \(0.244551\pi\) |
−0.990221 | + | 0.139506i | \(0.955449\pi\) | |||||||
\(450\) | 11.2720 | − | 34.6917i | 0.531368 | − | 1.63538i | ||||
\(451\) | −13.2775 | − | 9.64668i | −0.625214 | − | 0.454244i | ||||
\(452\) | −13.2767 | + | 40.8614i | −0.624483 | + | 1.92196i | ||||
\(453\) | −14.3947 | − | 44.3024i | −0.676323 | − | 2.08151i | ||||
\(454\) | −26.3147 | + | 19.1187i | −1.23501 | + | 0.897287i | ||||
\(455\) | 3.08729 | + | 9.50169i | 0.144734 | + | 0.445446i | ||||
\(456\) | −2.81971 | − | 2.04864i | −0.132045 | − | 0.0959363i | ||||
\(457\) | 11.7042 | + | 8.50357i | 0.547497 | + | 0.397780i | 0.826862 | − | 0.562405i | \(-0.190124\pi\) |
−0.279365 | + | 0.960185i | \(0.590124\pi\) | |||||||
\(458\) | 11.7302 | − | 8.52249i | 0.548117 | − | 0.398230i | ||||
\(459\) | −1.68870 | −0.0788217 | ||||||||
\(460\) | −40.9519 | −1.90939 | ||||||||
\(461\) | 7.93250 | − | 5.76330i | 0.369453 | − | 0.268424i | −0.387531 | − | 0.921857i | \(-0.626672\pi\) |
0.756984 | + | 0.653433i | \(0.226672\pi\) | |||||||
\(462\) | 2.94028 | − | 9.04926i | 0.136794 | − | 0.421010i | ||||
\(463\) | −6.97314 | − | 21.4611i | −0.324069 | − | 0.997383i | −0.971859 | − | 0.235564i | \(-0.924306\pi\) |
0.647790 | − | 0.761819i | \(-0.275694\pi\) | |||||||
\(464\) | 19.7896 | 0.918709 | ||||||||
\(465\) | 12.1755 | + | 43.4833i | 0.564624 | + | 2.01649i | ||||
\(466\) | 49.4121 | 2.28897 | ||||||||
\(467\) | −8.36211 | − | 25.7359i | −0.386952 | − | 1.19092i | −0.935054 | − | 0.354505i | \(-0.884649\pi\) |
0.548101 | − | 0.836412i | \(-0.315351\pi\) | |||||||
\(468\) | 10.1508 | − | 31.2409i | 0.469220 | − | 1.44411i | ||||
\(469\) | 1.07110 | − | 0.778198i | 0.0494587 | − | 0.0359339i | ||||
\(470\) | 49.8282 | 2.29840 | ||||||||
\(471\) | 38.7746 | 1.78664 | ||||||||
\(472\) | 8.21203 | − | 5.96639i | 0.377990 | − | 0.274625i | ||||
\(473\) | −24.9605 | − | 18.1348i | −1.14768 | − | 0.833840i | ||||
\(474\) | 22.2099 | + | 16.1364i | 1.02013 | + | 0.741171i | ||||
\(475\) | 2.63730 | + | 8.11678i | 0.121008 | + | 0.372424i | ||||
\(476\) | −1.08231 | + | 0.786347i | −0.0496078 | + | 0.0360422i | ||||
\(477\) | 3.91866 | + | 12.0604i | 0.179423 | + | 0.552208i | ||||
\(478\) | −20.1437 | + | 61.9958i | −0.921350 | + | 2.83562i | ||||
\(479\) | 8.09036 | + | 5.87799i | 0.369658 | + | 0.268572i | 0.757069 | − | 0.653335i | \(-0.226631\pi\) |
−0.387411 | + | 0.921907i | \(0.626631\pi\) | |||||||
\(480\) | −19.4737 | + | 59.9338i | −0.888848 | + | 2.73559i | ||||
\(481\) | −6.71543 | + | 20.6680i | −0.306197 | + | 0.942378i | ||||
\(482\) | 25.3493 | + | 18.4173i | 1.15463 | + | 0.838886i | ||||
\(483\) | −1.59997 | + | 4.92419i | −0.0728010 | + | 0.224058i | ||||
\(484\) | 2.65887 | + | 8.18318i | 0.120858 | + | 0.371963i | ||||
\(485\) | 2.12152 | − | 1.54137i | 0.0963331 | − | 0.0699901i | ||||
\(486\) | −12.8906 | − | 39.6731i | −0.584728 | − | 1.79961i | ||||
\(487\) | 5.15552 | + | 3.74571i | 0.233619 | + | 0.169734i | 0.698436 | − | 0.715673i | \(-0.253880\pi\) |
−0.464817 | + | 0.885407i | \(0.653880\pi\) | |||||||
\(488\) | 9.55207 | + | 6.93998i | 0.432402 | + | 0.314158i | ||||
\(489\) | −17.5518 | + | 12.7521i | −0.793718 | + | 0.576670i | ||||
\(490\) | −51.2093 | −2.31340 | ||||||||
\(491\) | −32.2972 | −1.45755 | −0.728775 | − | 0.684753i | \(-0.759910\pi\) | ||||
−0.728775 | + | 0.684753i | \(0.759910\pi\) | |||||||
\(492\) | −21.1238 | + | 15.3473i | −0.952333 | + | 0.691910i | ||||
\(493\) | −2.57655 | + | 7.92982i | −0.116042 | + | 0.357141i | ||||
\(494\) | 4.18746 | + | 12.8877i | 0.188403 | + | 0.579844i | ||||
\(495\) | 30.2454 | 1.35943 | ||||||||
\(496\) | −3.56314 | − | 12.7254i | −0.159990 | − | 0.571386i | ||||
\(497\) | 3.44520 | 0.154538 | ||||||||
\(498\) | −25.0005 | − | 76.9437i | −1.12030 | − | 3.44793i | ||||
\(499\) | −2.52832 | + | 7.78136i | −0.113183 | + | 0.348341i | −0.991564 | − | 0.129620i | \(-0.958624\pi\) |
0.878381 | + | 0.477962i | \(0.158624\pi\) | |||||||
\(500\) | −18.7021 | + | 13.5878i | −0.836381 | + | 0.607666i | ||||
\(501\) | −4.89603 | −0.218738 | ||||||||
\(502\) | −22.7418 | −1.01502 | ||||||||
\(503\) | −12.6322 | + | 9.17780i | −0.563240 | + | 0.409218i | −0.832643 | − | 0.553809i | \(-0.813174\pi\) |
0.269403 | + | 0.963027i | \(0.413174\pi\) | |||||||
\(504\) | −1.24745 | − | 0.906322i | −0.0555656 | − | 0.0403708i | ||||
\(505\) | 11.8531 | + | 8.61180i | 0.527457 | + | 0.383220i | ||||
\(506\) | −11.0978 | − | 34.1554i | −0.493356 | − | 1.51839i | ||||
\(507\) | −32.7662 | + | 23.8061i | −1.45520 | + | 1.05726i | ||||
\(508\) | −11.7448 | − | 36.1469i | −0.521093 | − | 1.60376i | ||||
\(509\) | −5.71761 | + | 17.5970i | −0.253429 | + | 0.779973i | 0.740707 | + | 0.671829i | \(0.234491\pi\) |
−0.994135 | + | 0.108144i | \(0.965509\pi\) | |||||||
\(510\) | −14.1040 | − | 10.2472i | −0.624535 | − | 0.453751i | ||||
\(511\) | −1.09921 | + | 3.38301i | −0.0486260 | + | 0.149655i | ||||
\(512\) | 7.65601 | − | 23.5628i | 0.338351 | − | 1.04134i | ||||
\(513\) | 1.55558 | + | 1.13019i | 0.0686804 | + | 0.0498992i | ||||
\(514\) | −7.39821 | + | 22.7694i | −0.326321 | + | 1.00431i | ||||
\(515\) | 6.16377 | + | 18.9701i | 0.271608 | + | 0.835924i | ||||
\(516\) | −39.7106 | + | 28.8515i | −1.74816 | + | 1.27012i | ||||
\(517\) | 7.65850 | + | 23.5704i | 0.336820 | + | 1.03663i | ||||
\(518\) | 3.48458 | + | 2.53170i | 0.153104 | + | 0.111236i | ||||
\(519\) | −1.02610 | − | 0.745502i | −0.0450406 | − | 0.0327239i | ||||
\(520\) | −21.1240 | + | 15.3475i | −0.926350 | + | 0.673032i | ||||
\(521\) | 27.1766 | 1.19063 | 0.595314 | − | 0.803493i | \(-0.297028\pi\) | ||||
0.595314 | + | 0.803493i | \(0.297028\pi\) | |||||||
\(522\) | −40.5770 | −1.77601 | ||||||||
\(523\) | −6.02496 | + | 4.37739i | −0.263453 | + | 0.191410i | −0.711668 | − | 0.702516i | \(-0.752060\pi\) |
0.448215 | + | 0.893926i | \(0.352060\pi\) | |||||||
\(524\) | 16.4113 | − | 50.5089i | 0.716932 | − | 2.20649i | ||||
\(525\) | 2.71281 | + | 8.34918i | 0.118397 | + | 0.364388i | ||||
\(526\) | 21.4900 | 0.937008 | ||||||||
\(527\) | 5.56305 | + | 0.229036i | 0.242330 | + | 0.00997698i | ||||
\(528\) | −20.5802 | −0.895639 | ||||||||
\(529\) | −1.06850 | − | 3.28850i | −0.0464565 | − | 0.142978i | ||||
\(530\) | 13.1521 | − | 40.4780i | 0.571291 | − | 1.75825i | ||||
\(531\) | 13.9352 | − | 10.1245i | 0.604735 | − | 0.439366i | ||||
\(532\) | 1.52327 | 0.0660422 | ||||||||
\(533\) | 24.0425 | 1.04140 | ||||||||
\(534\) | −55.4917 | + | 40.3171i | −2.40136 | + | 1.74469i | ||||
\(535\) | 4.52072 | + | 3.28450i | 0.195448 | + | 0.142001i | ||||
\(536\) | 2.79933 | + | 2.03383i | 0.120912 | + | 0.0878481i | ||||
\(537\) | 7.40396 | + | 22.7870i | 0.319504 | + | 0.983333i | ||||
\(538\) | −3.62806 | + | 2.63594i | −0.156417 | + | 0.113643i | ||||
\(539\) | −7.87077 | − | 24.2237i | −0.339018 | − | 1.04339i | ||||
\(540\) | −4.83417 | + | 14.8780i | −0.208029 | + | 0.640248i | ||||
\(541\) | −16.9635 | − | 12.3247i | −0.729318 | − | 0.529881i | 0.160029 | − | 0.987112i | \(-0.448841\pi\) |
−0.889348 | + | 0.457231i | \(0.848841\pi\) | |||||||
\(542\) | −11.5823 | + | 35.6466i | −0.497502 | + | 1.53115i | ||||
\(543\) | −4.31604 | + | 13.2834i | −0.185219 | + | 0.570045i | ||||
\(544\) | 6.28624 | + | 4.56722i | 0.269521 | + | 0.195818i | ||||
\(545\) | 15.2819 | − | 47.0329i | 0.654605 | − | 2.01467i | ||||
\(546\) | 4.30735 | + | 13.2567i | 0.184338 | + | 0.567333i | ||||
\(547\) | −29.4738 | + | 21.4139i | −1.26021 | + | 0.915594i | −0.998768 | − | 0.0496263i | \(-0.984197\pi\) |
−0.261439 | + | 0.965220i | \(0.584197\pi\) | |||||||
\(548\) | 3.14859 | + | 9.69037i | 0.134501 | + | 0.413952i | ||||
\(549\) | 16.2091 | + | 11.7766i | 0.691788 | + | 0.502613i | ||||
\(550\) | −49.2629 | − | 35.7916i | −2.10058 | − | 1.52616i | ||||
\(551\) | 7.68061 | − | 5.58029i | 0.327205 | − | 0.237728i | ||||
\(552\) | −13.5317 | −0.575948 | ||||||||
\(553\) | −2.84161 | −0.120838 | ||||||||
\(554\) | −23.7235 | + | 17.2361i | −1.00791 | + | 0.732292i | ||||
\(555\) | −9.83719 | + | 30.2758i | −0.417566 | + | 1.28513i | ||||
\(556\) | −1.92759 | − | 5.93252i | −0.0817482 | − | 0.251595i | ||||
\(557\) | −31.5902 | −1.33852 | −0.669260 | − | 0.743028i | \(-0.733389\pi\) | ||||
−0.669260 | + | 0.743028i | \(0.733389\pi\) | |||||||
\(558\) | 7.30594 | + | 26.0924i | 0.309285 | + | 1.10458i | ||||
\(559\) | 45.1977 | 1.91166 | ||||||||
\(560\) | −1.32349 | − | 4.07330i | −0.0559278 | − | 0.172128i | ||||
\(561\) | 2.67949 | − | 8.24663i | 0.113128 | − | 0.348173i | ||||
\(562\) | −17.6957 | + | 12.8566i | −0.746446 | + | 0.542325i | ||||
\(563\) | 21.5339 | 0.907545 | 0.453773 | − | 0.891117i | \(-0.350078\pi\) | ||||
0.453773 | + | 0.891117i | \(0.350078\pi\) | |||||||
\(564\) | 39.4290 | 1.66026 | ||||||||
\(565\) | 46.8845 | − | 34.0636i | 1.97245 | − | 1.43307i | ||||
\(566\) | 5.86956 | + | 4.26448i | 0.246716 | + | 0.179250i | ||||
\(567\) | 4.40512 | + | 3.20051i | 0.184998 | + | 0.134409i | ||||
\(568\) | 2.78241 | + | 8.56338i | 0.116747 | + | 0.359311i | ||||
\(569\) | 6.83632 | − | 4.96688i | 0.286594 | − | 0.208222i | −0.435195 | − | 0.900336i | \(-0.643320\pi\) |
0.721788 | + | 0.692114i | \(0.243320\pi\) | |||||||
\(570\) | 6.13406 | + | 18.8787i | 0.256928 | + | 0.790742i | ||||
\(571\) | 12.9967 | − | 39.9997i | 0.543894 | − | 1.67393i | −0.179711 | − | 0.983719i | \(-0.557516\pi\) |
0.723605 | − | 0.690214i | \(-0.242484\pi\) | |||||||
\(572\) | −44.3626 | − | 32.2313i | −1.85489 | − | 1.34766i | ||||
\(573\) | 5.73453 | − | 17.6491i | 0.239564 | − | 0.737301i | ||||
\(574\) | 1.47253 | − | 4.53199i | 0.0614623 | − | 0.189161i | ||||
\(575\) | 26.8066 | + | 19.4761i | 1.11791 | + | 0.812210i | ||||
\(576\) | −8.36432 | + | 25.7427i | −0.348513 | + | 1.07261i | ||||
\(577\) | 11.9015 | + | 36.6291i | 0.495467 | + | 1.52489i | 0.816228 | + | 0.577730i | \(0.196061\pi\) |
−0.320762 | + | 0.947160i | \(0.603939\pi\) | |||||||
\(578\) | −1.73904 | + | 1.26349i | −0.0723346 | + | 0.0525541i | ||||
\(579\) | −12.1564 | − | 37.4134i | −0.505201 | − | 1.55485i | ||||
\(580\) | 62.4887 | + | 45.4007i | 2.59470 | + | 1.88516i | ||||
\(581\) | 6.77485 | + | 4.92222i | 0.281068 | + | 0.204208i | ||||
\(582\) | 2.95992 | − | 2.15051i | 0.122693 | − | 0.0891414i | ||||
\(583\) | 21.1689 | 0.876727 | ||||||||
\(584\) | −9.29653 | −0.384693 | ||||||||
\(585\) | −35.8458 | + | 26.0435i | −1.48204 | + | 1.07677i | ||||
\(586\) | 13.5176 | − | 41.6029i | 0.558407 | − | 1.71860i | ||||
\(587\) | −8.19158 | − | 25.2111i | −0.338103 | − | 1.04057i | −0.965173 | − | 0.261611i | \(-0.915746\pi\) |
0.627071 | − | 0.778962i | \(-0.284254\pi\) | |||||||
\(588\) | −40.5219 | −1.67109 | ||||||||
\(589\) | −4.97122 | − | 3.93415i | −0.204836 | − | 0.162104i | ||||
\(590\) | −57.8112 | −2.38005 | ||||||||
\(591\) | −5.48509 | − | 16.8814i | −0.225626 | − | 0.694407i | ||||
\(592\) | 2.87885 | − | 8.86018i | 0.118320 | − | 0.364151i | ||||
\(593\) | 14.1258 | − | 10.2630i | 0.580076 | − | 0.421450i | −0.258676 | − | 0.965964i | \(-0.583286\pi\) |
0.838751 | + | 0.544515i | \(0.183286\pi\) | |||||||
\(594\) | −13.7189 | −0.562892 | ||||||||
\(595\) | 1.80451 | 0.0739778 | ||||||||
\(596\) | 11.2381 | − | 8.16498i | 0.460332 | − | 0.334450i | ||||
\(597\) | −39.8302 | − | 28.9383i | −1.63014 | − | 1.18437i | ||||
\(598\) | 42.5630 | + | 30.9238i | 1.74053 | + | 1.26457i | ||||
\(599\) | −6.14789 | − | 18.9213i | −0.251196 | − | 0.773102i | −0.994555 | − | 0.104210i | \(-0.966769\pi\) |
0.743359 | − | 0.668892i | \(-0.233231\pi\) | |||||||
\(600\) | −18.5618 | + | 13.4859i | −0.757781 | + | 0.550560i | ||||
\(601\) | 7.47417 | + | 23.0031i | 0.304878 | + | 0.938317i | 0.979723 | + | 0.200358i | \(0.0642105\pi\) |
−0.674845 | + | 0.737959i | \(0.735790\pi\) | |||||||
\(602\) | 2.76822 | − | 8.51970i | 0.112824 | − | 0.347237i | ||||
\(603\) | 4.75024 | + | 3.45125i | 0.193445 | + | 0.140546i | ||||
\(604\) | −16.4421 | + | 50.6037i | −0.669021 | + | 2.05903i | ||||
\(605\) | 3.58643 | − | 11.0379i | 0.145809 | − | 0.448754i | ||||
\(606\) | 16.5374 | + | 12.0151i | 0.671784 | + | 0.488080i | ||||
\(607\) | 6.40116 | − | 19.7007i | 0.259815 | − | 0.799629i | −0.733028 | − | 0.680199i | \(-0.761893\pi\) |
0.992843 | − | 0.119430i | \(-0.0381066\pi\) | |||||||
\(608\) | −2.73399 | − | 8.41436i | −0.110878 | − | 0.341247i | ||||
\(609\) | 7.90052 | − | 5.74006i | 0.320145 | − | 0.232599i | ||||
\(610\) | −20.7798 | − | 63.9536i | −0.841349 | − | 2.58941i | ||||
\(611\) | −29.3724 | − | 21.3403i | −1.18828 | − | 0.863337i | ||||
\(612\) | −4.79998 | − | 3.48739i | −0.194028 | − | 0.140969i | ||||
\(613\) | −33.8855 | + | 24.6193i | −1.36862 | + | 0.994364i | −0.370781 | + | 0.928720i | \(0.620910\pi\) |
−0.997843 | + | 0.0656431i | \(0.979090\pi\) | |||||||
\(614\) | −31.0785 | −1.25423 | ||||||||
\(615\) | 35.2191 | 1.42017 | ||||||||
\(616\) | −2.08240 | + | 1.51295i | −0.0839023 | + | 0.0609586i | ||||
\(617\) | −11.0490 | + | 34.0052i | −0.444814 | + | 1.36900i | 0.437873 | + | 0.899037i | \(0.355732\pi\) |
−0.882687 | + | 0.469960i | \(0.844268\pi\) | |||||||
\(618\) | 8.59963 | + | 26.4669i | 0.345928 | + | 1.06466i | ||||
\(619\) | −3.77142 | −0.151586 | −0.0757931 | − | 0.997124i | \(-0.524149\pi\) | ||||
−0.0757931 | + | 0.997124i | \(0.524149\pi\) | |||||||
\(620\) | 17.9430 | − | 48.3568i | 0.720608 | − | 1.94206i | ||||
\(621\) | 7.46517 | 0.299567 | ||||||||
\(622\) | −8.17354 | − | 25.1556i | −0.327729 | − | 1.00865i | ||||
\(623\) | 2.19396 | − | 6.75231i | 0.0878991 | − | 0.270526i | ||||
\(624\) | 24.3910 | − | 17.7211i | 0.976420 | − | 0.709410i | ||||
\(625\) | −6.29572 | −0.251829 | ||||||||
\(626\) | −3.83291 | −0.153194 | ||||||||
\(627\) | −7.98747 | + | 5.80324i | −0.318989 | + | 0.231759i | ||||
\(628\) | −35.8311 | − | 26.0328i | −1.42981 | − | 1.03882i | ||||
\(629\) | 3.17552 | + | 2.30715i | 0.126616 | + | 0.0919920i | ||||
\(630\) | 2.71372 | + | 8.35197i | 0.108117 | + | 0.332751i | ||||
\(631\) | −39.6324 | + | 28.7946i | −1.57774 | + | 1.14630i | −0.658516 | + | 0.752566i | \(0.728816\pi\) |
−0.919226 | + | 0.393731i | \(0.871184\pi\) | |||||||
\(632\) | −2.29494 | − | 7.06310i | −0.0912878 | − | 0.280955i | ||||
\(633\) | 4.56568 | − | 14.0517i | 0.181470 | − | 0.558506i | ||||
\(634\) | −43.1019 | − | 31.3154i | −1.71180 | − | 1.24369i | ||||
\(635\) | −15.8420 | + | 48.7568i | −0.628672 | + | 1.93485i | ||||
\(636\) | 10.4072 | − | 32.0302i | 0.412674 | − | 1.27008i | ||||
\(637\) | 30.1866 | + | 21.9318i | 1.19604 | + | 0.868971i | ||||
\(638\) | −20.9317 | + | 64.4212i | −0.828695 | + | 2.55046i | ||||
\(639\) | 4.72154 | + | 14.5314i | 0.186781 | + | 0.574853i | ||||
\(640\) | 29.0535 | − | 21.1086i | 1.14844 | − | 0.834392i | ||||
\(641\) | −14.4404 | − | 44.4430i | −0.570361 | − | 1.75539i | −0.651457 | − | 0.758685i | \(-0.725842\pi\) |
0.0810962 | − | 0.996706i | \(-0.474158\pi\) | |||||||
\(642\) | 6.30726 | + | 4.58250i | 0.248928 | + | 0.180857i | ||||
\(643\) | −1.32534 | − | 0.962915i | −0.0522663 | − | 0.0379737i | 0.561345 | − | 0.827582i | \(-0.310284\pi\) |
−0.613612 | + | 0.789608i | \(0.710284\pi\) | |||||||
\(644\) | 4.78455 | − | 3.47618i | 0.188538 | − | 0.136981i | ||||
\(645\) | 66.2085 | 2.60696 | ||||||||
\(646\) | 2.44756 | 0.0962980 | ||||||||
\(647\) | −10.0248 | + | 7.28345i | −0.394116 | + | 0.286342i | −0.767140 | − | 0.641480i | \(-0.778321\pi\) |
0.373024 | + | 0.927822i | \(0.378321\pi\) | |||||||
\(648\) | −4.39751 | + | 13.5341i | −0.172751 | + | 0.531671i | ||||
\(649\) | −8.88547 | − | 27.3467i | −0.348785 | − | 1.07345i | ||||
\(650\) | 89.2038 | 3.49886 | ||||||||
\(651\) | −5.11355 | − | 4.04679i | −0.200416 | − | 0.158606i | ||||
\(652\) | 24.7809 | 0.970497 | ||||||||
\(653\) | 0.972849 | + | 2.99412i | 0.0380705 | + | 0.117169i | 0.968286 | − | 0.249846i | \(-0.0803799\pi\) |
−0.930215 | + | 0.367015i | \(0.880380\pi\) | |||||||
\(654\) | 21.3212 | − | 65.6198i | 0.833724 | − | 2.56594i | ||||
\(655\) | −57.9540 | + | 42.1060i | −2.26445 | + | 1.64522i | ||||
\(656\) | −10.3068 | −0.402414 | ||||||||
\(657\) | −15.7755 | −0.615461 | ||||||||
\(658\) | −5.82159 | + | 4.22963i | −0.226949 | + | 0.164888i | ||||
\(659\) | −7.28948 | − | 5.29611i | −0.283958 | − | 0.206307i | 0.436684 | − | 0.899615i | \(-0.356153\pi\) |
−0.720642 | + | 0.693308i | \(0.756153\pi\) | |||||||
\(660\) | −64.9852 | − | 47.2145i | −2.52955 | − | 1.83782i | ||||
\(661\) | 5.29679 | + | 16.3018i | 0.206021 | + | 0.634068i | 0.999670 | + | 0.0256919i | \(0.00817889\pi\) |
−0.793649 | + | 0.608376i | \(0.791821\pi\) | |||||||
\(662\) | −60.2091 | + | 43.7445i | −2.34009 | + | 1.70018i | ||||
\(663\) | 3.92531 | + | 12.0809i | 0.152446 | + | 0.469182i | ||||
\(664\) | −6.76315 | + | 20.8148i | −0.262461 | + | 0.807772i | ||||
\(665\) | −1.66226 | − | 1.20770i | −0.0644597 | − | 0.0468327i | ||||
\(666\) | −5.90285 | + | 18.1671i | −0.228731 | + | 0.703961i | ||||
\(667\) | 11.3901 | − | 35.0551i | 0.441026 | − | 1.35734i | ||||
\(668\) | 4.52435 | + | 3.28713i | 0.175052 | + | 0.127183i | ||||
\(669\) | −14.7233 | + | 45.3135i | −0.569234 | + | 1.75192i | ||||
\(670\) | −6.08972 | − | 18.7422i | −0.235266 | − | 0.724076i | ||||
\(671\) | 27.0584 | − | 19.6591i | 1.04458 | − | 0.758930i | ||||
\(672\) | −2.81227 | − | 8.65528i | −0.108486 | − | 0.333885i | ||||
\(673\) | −22.6973 | − | 16.4906i | −0.874918 | − | 0.635665i | 0.0569841 | − | 0.998375i | \(-0.481852\pi\) |
−0.931902 | + | 0.362710i | \(0.881852\pi\) | |||||||
\(674\) | 62.8904 | + | 45.6926i | 2.42245 | + | 1.76001i | ||||
\(675\) | 10.2401 | − | 7.43990i | 0.394143 | − | 0.286362i | ||||
\(676\) | 46.2619 | 1.77930 | ||||||||
\(677\) | 26.2537 | 1.00901 | 0.504507 | − | 0.863408i | \(-0.331674\pi\) | ||||
0.504507 | + | 0.863408i | \(0.331674\pi\) | |||||||
\(678\) | 65.4128 | − | 47.5252i | 2.51216 | − | 1.82519i | ||||
\(679\) | −0.117025 | + | 0.360167i | −0.00449102 | + | 0.0138219i | ||||
\(680\) | 1.45736 | + | 4.48529i | 0.0558872 | + | 0.172003i | ||||
\(681\) | 34.7172 | 1.33037 | ||||||||
\(682\) | 45.1938 | + | 1.86067i | 1.73056 | + | 0.0712489i | ||||
\(683\) | −44.2792 | −1.69430 | −0.847148 | − | 0.531357i | \(-0.821682\pi\) | ||||
−0.847148 | + | 0.531357i | \(0.821682\pi\) | |||||||
\(684\) | 2.08759 | + | 6.42495i | 0.0798211 | + | 0.245664i | ||||
\(685\) | 4.24698 | − | 13.0709i | 0.162269 | − | 0.499412i | ||||
\(686\) | 12.1973 | − | 8.86182i | 0.465693 | − | 0.338346i | ||||
\(687\) | −15.4758 | −0.590438 | ||||||||
\(688\) | −19.3759 | −0.738698 | ||||||||
\(689\) | −25.0887 | + | 18.2280i | −0.955802 | + | 0.694431i | ||||
\(690\) | 62.3490 | + | 45.2992i | 2.37359 | + | 1.72451i | ||||
\(691\) | −5.53301 | − | 4.01997i | −0.210486 | − | 0.152927i | 0.477548 | − | 0.878606i | \(-0.341526\pi\) |
−0.688033 | + | 0.725679i | \(0.741526\pi\) | |||||||
\(692\) | 0.447680 | + | 1.37782i | 0.0170182 | + | 0.0523767i | ||||
\(693\) | −3.53367 | + | 2.56736i | −0.134233 | + | 0.0975261i | ||||
\(694\) | 1.81871 | + | 5.59741i | 0.0690373 | + | 0.212475i | ||||
\(695\) | −2.60004 | + | 8.00209i | −0.0986250 | + | 0.303537i | ||||
\(696\) | 20.6481 | + | 15.0017i | 0.782664 | + | 0.568639i | ||||
\(697\) | 1.34192 | − | 4.13002i | 0.0508290 | − | 0.156436i | ||||
\(698\) | −13.3739 | + | 41.1607i | −0.506210 | + | 1.55795i | ||||
\(699\) | −42.6674 | − | 30.9996i | −1.61383 | − | 1.17251i | ||||
\(700\) | 3.09866 | − | 9.53671i | 0.117118 | − | 0.360454i | ||||
\(701\) | −12.6835 | − | 39.0357i | −0.479049 | − | 1.47436i | −0.840419 | − | 0.541937i | \(-0.817691\pi\) |
0.361370 | − | 0.932422i | \(-0.382309\pi\) | |||||||
\(702\) | 16.2591 | − | 11.8129i | 0.613661 | − | 0.445850i | ||||
\(703\) | −1.38108 | − | 4.25054i | −0.0520886 | − | 0.160312i | ||||
\(704\) | 36.5552 | + | 26.5589i | 1.37772 | + | 1.00098i | ||||
\(705\) | −43.0266 | − | 31.2607i | −1.62048 | − | 1.17735i | ||||
\(706\) | −63.0349 | + | 45.7975i | −2.37235 | + | 1.72361i | ||||
\(707\) | −2.11585 | −0.0795746 | ||||||||
\(708\) | −45.7459 | −1.71924 | ||||||||
\(709\) | 17.0317 | − | 12.3743i | 0.639640 | − | 0.464726i | −0.220086 | − | 0.975480i | \(-0.570634\pi\) |
0.859727 | + | 0.510754i | \(0.170634\pi\) | |||||||
\(710\) | 15.8468 | − | 48.7713i | 0.594718 | − | 1.83035i | ||||
\(711\) | −3.89433 | − | 11.9855i | −0.146049 | − | 0.449492i | ||||
\(712\) | 18.5554 | 0.695393 | ||||||||
\(713\) | −24.5924 | − | 1.01249i | −0.920992 | − | 0.0379181i | ||||
\(714\) | 2.51764 | 0.0942202 | ||||||||
\(715\) | 22.8563 | + | 70.3445i | 0.854778 | + | 2.63073i | ||||
\(716\) | 8.45704 | − | 26.0281i | 0.316055 | − | 0.972716i | ||||
\(717\) | 56.2883 | − | 40.8959i | 2.10213 | − | 1.52728i | ||||
\(718\) | 21.8447 | 0.815238 | ||||||||
\(719\) | 38.8755 | 1.44981 | 0.724907 | − | 0.688847i | \(-0.241883\pi\) | ||||
0.724907 | + | 0.688847i | \(0.241883\pi\) | |||||||
\(720\) | 15.3668 | − | 11.1646i | 0.572687 | − | 0.416082i | ||||
\(721\) | −2.33040 | − | 1.69313i | −0.0867886 | − | 0.0630556i | ||||
\(722\) | 30.7872 | + | 22.3682i | 1.14578 | + | 0.832458i | ||||
\(723\) | −10.3346 | − | 31.8067i | −0.384349 | − | 1.18290i | ||||
\(724\) | 12.9067 | − | 9.37726i | 0.479674 | − | 0.348503i | ||||
\(725\) | −19.3124 | − | 59.4374i | −0.717244 | − | 2.20745i | ||||
\(726\) | 5.00375 | − | 15.4000i | 0.185707 | − | 0.571546i | ||||
\(727\) | −11.0019 | − | 7.99335i | −0.408038 | − | 0.296457i | 0.364769 | − | 0.931098i | \(-0.381148\pi\) |
−0.772807 | + | 0.634641i | \(0.781148\pi\) | |||||||
\(728\) | 1.16523 | − | 3.58620i | 0.0431861 | − | 0.132913i | ||||
\(729\) | −3.87043 | + | 11.9120i | −0.143349 | + | 0.441184i | ||||
\(730\) | 42.8349 | + | 31.1214i | 1.58539 | + | 1.15185i | ||||
\(731\) | 2.52269 | − | 7.76404i | 0.0933050 | − | 0.287163i | ||||
\(732\) | −16.4430 | − | 50.6064i | −0.607751 | − | 1.87047i | ||||
\(733\) | 10.6107 | − | 7.70910i | 0.391914 | − | 0.284742i | −0.374325 | − | 0.927297i | \(-0.622126\pi\) |
0.766239 | + | 0.642555i | \(0.222126\pi\) | |||||||
\(734\) | 3.13292 | + | 9.64213i | 0.115638 | + | 0.355897i | ||||
\(735\) | 44.2192 | + | 32.1272i | 1.63105 | + | 1.18503i | ||||
\(736\) | −27.7894 | − | 20.1902i | −1.02433 | − | 0.744219i | ||||
\(737\) | 7.92973 | − | 5.76129i | 0.292095 | − | 0.212220i | ||||
\(738\) | 21.1334 | 0.777930 | ||||||||
\(739\) | −45.9423 | −1.69002 | −0.845008 | − | 0.534754i | \(-0.820404\pi\) | ||||
−0.845008 | + | 0.534754i | \(0.820404\pi\) | |||||||
\(740\) | 29.4172 | − | 21.3728i | 1.08140 | − | 0.785681i | ||||
\(741\) | 4.46946 | − | 13.7556i | 0.164190 | − | 0.505324i | ||||
\(742\) | 1.89935 | + | 5.84559i | 0.0697272 | + | 0.214598i | ||||
\(743\) | 35.5066 | 1.30261 | 0.651306 | − | 0.758815i | \(-0.274222\pi\) | ||||
0.651306 | + | 0.758815i | \(0.274222\pi\) | |||||||
\(744\) | 5.92889 | − | 15.9785i | 0.217364 | − | 0.585800i | ||||
\(745\) | −18.7370 | −0.686471 | ||||||||
\(746\) | 13.3205 | + | 40.9962i | 0.487697 | + | 1.50098i | ||||
\(747\) | −11.4765 | + | 35.3211i | −0.419905 | + | 1.29233i | ||||
\(748\) | −8.01277 | + | 5.82162i | −0.292976 | + | 0.212859i | ||||
\(749\) | −0.806973 | −0.0294861 | ||||||||
\(750\) | 43.5040 | 1.58854 | ||||||||
\(751\) | 6.39655 | − | 4.64737i | 0.233414 | − | 0.169585i | −0.464930 | − | 0.885347i | \(-0.653921\pi\) |
0.698344 | + | 0.715762i | \(0.253921\pi\) | |||||||
\(752\) | 12.5917 | + | 9.14842i | 0.459173 | + | 0.333609i | ||||
\(753\) | 19.6375 | + | 14.2675i | 0.715631 | + | 0.519937i | ||||
\(754\) | −30.6638 | − | 94.3735i | −1.11671 | − | 3.43688i | ||||
\(755\) | 58.0627 | − | 42.1851i | 2.11312 | − | 1.53527i | ||||
\(756\) | −0.698120 | − | 2.14859i | −0.0253904 | − | 0.0781436i | ||||
\(757\) | 4.21336 | − | 12.9674i | 0.153137 | − | 0.471308i | −0.844830 | − | 0.535034i | \(-0.820299\pi\) |
0.997967 | + | 0.0637268i | \(0.0202986\pi\) | |||||||
\(758\) | 42.9329 | + | 31.1926i | 1.55939 | + | 1.13297i | ||||
\(759\) | −11.8451 | + | 36.4556i | −0.429951 | + | 1.32325i | ||||
\(760\) | 1.65939 | − | 5.10707i | 0.0601923 | − | 0.185253i | ||||
\(761\) | −31.4313 | − | 22.8361i | −1.13938 | − | 0.827810i | −0.152349 | − | 0.988327i | \(-0.548684\pi\) |
−0.987033 | + | 0.160517i | \(0.948684\pi\) | |||||||
\(762\) | −22.1027 | + | 68.0250i | −0.800695 | + | 2.46429i | ||||
\(763\) | 2.20692 | + | 6.79220i | 0.0798959 | + | 0.245894i | ||||
\(764\) | −17.1486 | + | 12.4592i | −0.620414 | + | 0.450757i | ||||
\(765\) | 2.47303 | + | 7.61119i | 0.0894124 | + | 0.275183i | ||||
\(766\) | 26.8731 | + | 19.5245i | 0.970965 | + | 0.705447i | ||||
\(767\) | 34.0782 | + | 24.7593i | 1.23049 | + | 0.894005i | ||||
\(768\) | −3.84833 | + | 2.79597i | −0.138865 | + | 0.100891i | ||||
\(769\) | −1.45217 | −0.0523665 | −0.0261832 | − | 0.999657i | \(-0.508335\pi\) | ||||
−0.0261832 | + | 0.999657i | \(0.508335\pi\) | |||||||
\(770\) | 14.6597 | 0.528300 | ||||||||
\(771\) | 20.6731 | − | 15.0199i | 0.744525 | − | 0.540929i | ||||
\(772\) | −13.8854 | + | 42.7349i | −0.499746 | + | 1.53806i | ||||
\(773\) | 13.8601 | + | 42.6571i | 0.498514 | + | 1.53427i | 0.811408 | + | 0.584480i | \(0.198701\pi\) |
−0.312894 | + | 0.949788i | \(0.601299\pi\) | |||||||
\(774\) | 39.7287 | 1.42802 | ||||||||
\(775\) | −34.7430 | + | 23.1203i | −1.24801 | + | 0.830505i | ||||
\(776\) | −0.989742 | −0.0355297 | ||||||||
\(777\) | −1.42063 | − | 4.37224i | −0.0509647 | − | 0.156853i | ||||
\(778\) | 7.17587 | − | 22.0851i | 0.257267 | − | 0.791788i | ||||
\(779\) | −4.00023 | + | 2.90633i | −0.143323 | + | 0.104130i | ||||
\(780\) | 117.673 | 4.21338 | ||||||||
\(781\) | 25.5061 | 0.912679 | ||||||||
\(782\) | 7.68771 | − | 5.58545i | 0.274912 | − | 0.199735i | ||||
\(783\) | −11.3911 | − | 8.27614i | −0.407086 | − | 0.295765i | ||||
\(784\) | −12.9407 | − | 9.40199i | −0.462169 | − | 0.335785i | ||||
\(785\) | 18.4607 | + | 56.8162i | 0.658891 | + | 2.02786i | ||||
\(786\) | −80.8568 | + | 58.7459i | −2.88407 | + | 2.09540i | ||||
\(787\) | −11.8775 | − | 36.5552i | −0.423388 | − | 1.30305i | −0.904530 | − | 0.426411i | \(-0.859778\pi\) |
0.481142 | − | 0.876643i | \(-0.340222\pi\) | |||||||
\(788\) | −6.26525 | + | 19.2825i | −0.223190 | + | 0.686909i | ||||
\(789\) | −18.5566 | − | 13.4822i | −0.660633 | − | 0.479978i | ||||
\(790\) | −13.0704 | + | 40.2267i | −0.465025 | + | 1.43120i | ||||
\(791\) | −2.58620 | + | 7.95952i | −0.0919548 | + | 0.283008i | ||||
\(792\) | −9.23529 | − | 6.70983i | −0.328162 | − | 0.238423i | ||||
\(793\) | −15.1408 | + | 46.5985i | −0.537665 | + | 1.65476i | ||||
\(794\) | −0.554744 | − | 1.70733i | −0.0196871 | − | 0.0605908i | ||||
\(795\) | −36.7515 | + | 26.7015i | −1.30344 | + | 0.947005i | ||||
\(796\) | 17.3777 | + | 53.4830i | 0.615935 | + | 1.89565i | ||||
\(797\) | 27.9219 | + | 20.2864i | 0.989043 | + | 0.718582i | 0.959711 | − | 0.280988i | \(-0.0906620\pi\) |
0.0293320 | + | 0.999570i | \(0.490662\pi\) | |||||||
\(798\) | −2.31917 | − | 1.68497i | −0.0820977 | − | 0.0596474i | ||||
\(799\) | −5.30524 | + | 3.85448i | −0.187686 | + | 0.136362i | ||||
\(800\) | −58.2412 | −2.05914 | ||||||||
\(801\) | 31.4871 | 1.11254 | ||||||||
\(802\) | −34.7153 | + | 25.2222i | −1.22584 | + | 0.890625i | ||||
\(803\) | −8.13782 | + | 25.0456i | −0.287178 | + | 0.883842i | ||||
\(804\) | −4.81879 | − | 14.8307i | −0.169945 | − | 0.523038i | ||||
\(805\) | −7.97714 | −0.281157 | ||||||||
\(806\) | −55.1643 | + | 36.7099i | −1.94308 | + | 1.29305i | ||||
\(807\) | 4.78653 | 0.168494 | ||||||||
\(808\) | −1.70880 | − | 5.25914i | −0.0601153 | − | 0.185016i | ||||
\(809\) | −9.17952 | + | 28.2517i | −0.322735 | + | 0.993276i | 0.649718 | + | 0.760175i | \(0.274887\pi\) |
−0.972453 | + | 0.233100i | \(0.925113\pi\) | |||||||
\(810\) | 65.5694 | − | 47.6390i | 2.30387 | − | 1.67386i | ||||
\(811\) | 9.98228 | 0.350525 | 0.175263 | − | 0.984522i | \(-0.443923\pi\) | ||||
0.175263 | + | 0.984522i | \(0.443923\pi\) | |||||||
\(812\) | −11.1546 | −0.391449 | ||||||||
\(813\) | 32.3649 | − | 23.5145i | 1.13509 | − | 0.824689i | ||||
\(814\) | 25.7976 | + | 18.7431i | 0.904207 | + | 0.656945i | ||||
\(815\) | −27.0421 | − | 19.6472i | −0.947242 | − | 0.688211i | ||||
\(816\) | −1.68275 | − | 5.17896i | −0.0589079 | − | 0.181300i | ||||
\(817\) | −7.52004 | + | 5.46363i | −0.263093 | + | 0.191148i | ||||
\(818\) | 17.1692 | + | 52.8415i | 0.600309 | + | 1.84756i | ||||
\(819\) | 1.97730 | − | 6.08550i | 0.0690924 | − | 0.212644i | ||||
\(820\) | −32.5454 | − | 23.6456i | −1.13654 | − | 0.825742i | ||||
\(821\) | 17.0461 | − | 52.4626i | 0.594914 | − | 1.83096i | 0.0397628 | − | 0.999209i | \(-0.487340\pi\) |
0.555152 | − | 0.831749i | \(-0.312660\pi\) | |||||||
\(822\) | 5.92535 | − | 18.2363i | 0.206670 | − | 0.636066i | ||||
\(823\) | −12.8394 | − | 9.32836i | −0.447553 | − | 0.325166i | 0.341076 | − | 0.940036i | \(-0.389209\pi\) |
−0.788629 | + | 0.614870i | \(0.789209\pi\) | |||||||
\(824\) | 2.32637 | − | 7.15984i | 0.0810431 | − | 0.249425i | ||||
\(825\) | 20.0839 | + | 61.8120i | 0.699233 | + | 2.15202i | ||||
\(826\) | 6.75427 | − | 4.90727i | 0.235011 | − | 0.170746i | ||||
\(827\) | 1.26967 | + | 3.90764i | 0.0441507 | + | 0.135882i | 0.970702 | − | 0.240287i | \(-0.0772414\pi\) |
−0.926551 | + | 0.376168i | \(0.877241\pi\) | |||||||
\(828\) | 21.2191 | + | 15.4166i | 0.737415 | + | 0.535763i | ||||
\(829\) | −37.5154 | − | 27.2565i | −1.30296 | − | 0.946659i | −0.302984 | − | 0.952996i | \(-0.597983\pi\) |
−0.999980 | + | 0.00633711i | \(0.997983\pi\) | |||||||
\(830\) | 100.842 | − | 73.2663i | 3.50029 | − | 2.54311i | ||||
\(831\) | 31.2986 | 1.08574 | ||||||||
\(832\) | −66.1930 | −2.29483 | ||||||||
\(833\) | 5.45229 | − | 3.96132i | 0.188911 | − | 0.137252i | ||||
\(834\) | −3.62755 | + | 11.1644i | −0.125612 | + | 0.386593i | ||||
\(835\) | −2.33102 | − | 7.17413i | −0.0806681 | − | 0.248271i | ||||
\(836\) | 11.2773 | 0.390035 | ||||||||
\(837\) | −3.27085 | + | 8.81501i | −0.113057 | + | 0.304691i | ||||
\(838\) | −0.515081 | −0.0177932 | ||||||||
\(839\) | −1.41818 | − | 4.36472i | −0.0489612 | − | 0.150687i | 0.923587 | − | 0.383389i | \(-0.125243\pi\) |
−0.972548 | + | 0.232702i | \(0.925243\pi\) | |||||||
\(840\) | 1.70690 | − | 5.25329i | 0.0588936 | − | 0.181256i | ||||
\(841\) | −32.7819 | + | 23.8174i | −1.13041 | + | 0.821291i | ||||
\(842\) | 17.6973 | 0.609890 | ||||||||
\(843\) | 23.3461 | 0.804081 | ||||||||
\(844\) | −13.6532 | + | 9.91965i | −0.469964 | + | 0.341449i | ||||
\(845\) | −50.4830 | − | 36.6781i | −1.73667 | − | 1.26176i | ||||
\(846\) | −25.8183 | − | 18.7581i | −0.887652 | − | 0.644917i | ||||
\(847\) | 0.517930 | + | 1.59402i | 0.0177963 | + | 0.0547713i | ||||
\(848\) | 10.7553 | − | 7.81418i | 0.369339 | − | 0.268340i | ||||
\(849\) | −2.39296 | − | 7.36476i | −0.0821260 | − | 0.252758i | ||||
\(850\) | 4.97887 | − | 15.3234i | 0.170774 | − | 0.525588i | ||||
\(851\) | −14.0379 | − | 10.1991i | −0.481213 | − | 0.349621i | ||||
\(852\) | 12.5395 | − | 38.5926i | 0.429597 | − | 1.32216i | ||||
\(853\) | −11.2507 | + | 34.6262i | −0.385218 | + | 1.18558i | 0.551105 | + | 0.834436i | \(0.314207\pi\) |
−0.936322 | + | 0.351142i | \(0.885793\pi\) | |||||||
\(854\) | 7.85643 | + | 5.70803i | 0.268841 | + | 0.195325i | ||||
\(855\) | 2.81585 | − | 8.66630i | 0.0963001 | − | 0.296381i | ||||
\(856\) | −0.651727 | − | 2.00581i | −0.0222756 | − | 0.0685571i | ||||
\(857\) | −16.6012 | + | 12.0615i | −0.567088 | + | 0.412013i | −0.834046 | − | 0.551695i | \(-0.813981\pi\) |
0.266958 | + | 0.963708i | \(0.413981\pi\) | |||||||
\(858\) | 31.8889 | + | 98.1439i | 1.08867 | + | 3.35058i | ||||
\(859\) | −19.5704 | − | 14.2187i | −0.667732 | − | 0.485136i | 0.201533 | − | 0.979482i | \(-0.435408\pi\) |
−0.869265 | + | 0.494346i | \(0.835408\pi\) | |||||||
\(860\) | −61.1823 | − | 44.4515i | −2.08630 | − | 1.51579i | ||||
\(861\) | −4.11476 | + | 2.98955i | −0.140231 | + | 0.101884i | ||||
\(862\) | 73.8964 | 2.51692 | ||||||||
\(863\) | −36.6339 | −1.24703 | −0.623516 | − | 0.781810i | \(-0.714297\pi\) | ||||
−0.623516 | + | 0.781810i | \(0.714297\pi\) | |||||||
\(864\) | −10.6156 | + | 7.71267i | −0.361149 | + | 0.262390i | ||||
\(865\) | 0.603853 | − | 1.85847i | 0.0205316 | − | 0.0631899i | ||||
\(866\) | 18.9131 | + | 58.2084i | 0.642692 | + | 1.97800i | ||||
\(867\) | 2.29433 | 0.0779197 | ||||||||
\(868\) | 2.00839 | + | 7.17276i | 0.0681694 | + | 0.243459i | ||||
\(869\) | −21.0375 | −0.713647 | ||||||||
\(870\) | −44.9183 | − | 138.244i | −1.52287 | − | 4.68693i | ||||
\(871\) | −4.43715 | + | 13.6561i | −0.150347 | + | 0.462721i | ||||
\(872\) | −15.1003 | + | 10.9710i | −0.511361 | + | 0.371526i | ||||
\(873\) | −1.67952 | −0.0568430 | ||||||||
\(874\) | −10.8198 | −0.365987 | ||||||||
\(875\) | −3.64303 | + | 2.64681i | −0.123157 | + | 0.0894786i | ||||
\(876\) | 33.8952 | + | 24.6263i | 1.14521 | + | 0.832045i | ||||
\(877\) | 36.7770 | + | 26.7200i | 1.24187 | + | 0.902271i | 0.997722 | − | 0.0674666i | \(-0.0214916\pi\) |
0.244148 | + | 0.969738i | \(0.421492\pi\) | |||||||
\(878\) | 12.7018 | + | 39.0920i | 0.428663 | + | 1.31929i | ||||
\(879\) | −37.7729 | + | 27.4436i | −1.27405 | + | 0.925649i | ||||
\(880\) | −9.79831 | − | 30.1561i | −0.330301 | − | 1.01656i | ||||
\(881\) | −3.15657 | + | 9.71491i | −0.106347 | + | 0.327304i | −0.990044 | − | 0.140756i | \(-0.955047\pi\) |
0.883697 | + | 0.468060i | \(0.155047\pi\) | |||||||
\(882\) | 26.5340 | + | 19.2780i | 0.893445 | + | 0.649126i | ||||
\(883\) | −10.4024 | + | 32.0153i | −0.350069 | + | 1.07740i | 0.608745 | + | 0.793366i | \(0.291673\pi\) |
−0.958814 | + | 0.284035i | \(0.908327\pi\) | |||||||
\(884\) | 4.48362 | − | 13.7991i | 0.150800 | − | 0.464116i | ||||
\(885\) | 49.9200 | + | 36.2690i | 1.67804 | + | 1.21917i | ||||
\(886\) | 10.0582 | − | 30.9561i | 0.337913 | − | 1.03999i | ||||
\(887\) | 2.06705 | + | 6.36173i | 0.0694048 | + | 0.213606i | 0.979743 | − | 0.200259i | \(-0.0641785\pi\) |
−0.910338 | + | 0.413865i | \(0.864178\pi\) | |||||||
\(888\) | 9.72030 | − | 7.06221i | 0.326192 | − | 0.236992i | ||||
\(889\) | −2.28781 | − | 7.04116i | −0.0767307 | − | 0.236153i | ||||
\(890\) | −85.4962 | − | 62.1166i | −2.86584 | − | 2.08215i | ||||
\(891\) | 32.6127 | + | 23.6945i | 1.09257 | + | 0.793797i | ||||
\(892\) | 44.0285 | − | 31.9886i | 1.47418 | − | 1.07106i | ||||
\(893\) | 7.46670 | 0.249864 | ||||||||
\(894\) | −26.1417 | −0.874309 | ||||||||
\(895\) | −29.8647 | + | 21.6980i | −0.998267 | + | 0.725283i | ||||
\(896\) | −1.60263 | + | 4.93238i | −0.0535400 | + | 0.164779i | ||||
\(897\) | −17.3525 | − | 53.4054i | −0.579382 | − | 1.78315i | ||||
\(898\) | −39.9619 | −1.33355 | ||||||||
\(899\) | 36.4031 | + | 28.8089i | 1.21411 | + | 0.960831i | ||||
\(900\) | 44.4711 | 1.48237 | ||||||||
\(901\) | 1.73088 | + | 5.32711i | 0.0576640 | + | 0.177472i | ||||
\(902\) | 10.9017 | − | 33.5519i | 0.362987 | − | 1.11716i | ||||
\(903\) | −7.73535 | + | 5.62006i | −0.257416 | + | 0.187024i | ||||
\(904\) | −21.8728 | −0.727479 | ||||||||
\(905\) | −21.5190 | −0.715315 | ||||||||
\(906\) | 81.0086 | − | 58.8562i | 2.69133 | − | 1.95537i | ||||
\(907\) | −10.0081 | − | 7.27128i | −0.332312 | − | 0.241439i | 0.409099 | − | 0.912490i | \(-0.365843\pi\) |
−0.741411 | + | 0.671051i | \(0.765843\pi\) | |||||||
\(908\) | −32.0817 | − | 23.3087i | −1.06467 | − | 0.773527i | ||||
\(909\) | −2.89970 | − | 8.92435i | −0.0961769 | − | 0.296002i | ||||
\(910\) | −17.3742 | + | 12.6231i | −0.575949 | + | 0.418451i | ||||
\(911\) | −5.65661 | − | 17.4093i | −0.187412 | − | 0.576795i | 0.812570 | − | 0.582864i | \(-0.198068\pi\) |
−0.999982 | + | 0.00606935i | \(0.998068\pi\) | |||||||
\(912\) | −1.91602 | + | 5.89690i | −0.0634458 | + | 0.195266i | ||||
\(913\) | 50.1567 | + | 36.4410i | 1.65994 | + | 1.20602i | ||||
\(914\) | −9.60986 | + | 29.5761i | −0.317866 | + | 0.978290i | ||||
\(915\) | −22.1792 | + | 68.2605i | −0.733221 | + | 2.25662i | ||||
\(916\) | 14.3009 | + | 10.3902i | 0.472517 | + | 0.343303i | ||||
\(917\) | 3.19681 | − | 9.83877i | 0.105568 | − | 0.324905i | ||||
\(918\) | −1.12173 | − | 3.45232i | −0.0370225 | − | 0.113943i | ||||
\(919\) | 17.0651 | − | 12.3985i | 0.562925 | − | 0.408989i | −0.269603 | − | 0.962971i | \(-0.586893\pi\) |
0.832528 | + | 0.553983i | \(0.186893\pi\) | |||||||
\(920\) | −6.44249 | − | 19.8280i | −0.212403 | − | 0.653708i | ||||
\(921\) | 26.8363 | + | 19.4977i | 0.884285 | + | 0.642470i | ||||
\(922\) | 17.0515 | + | 12.3886i | 0.561561 | + | 0.407998i | ||||
\(923\) | −30.2289 | + | 21.9626i | −0.994997 | + | 0.722907i | ||||
\(924\) | 11.6002 | 0.381619 | ||||||||
\(925\) | −29.4207 | −0.967347 | ||||||||
\(926\) | 39.2424 | − | 28.5113i | 1.28959 | − | 0.936939i | ||||
\(927\) | 3.94767 | − | 12.1497i | 0.129659 | − | 0.399048i | ||||
\(928\) | 20.0204 | + | 61.6165i | 0.657202 | + | 2.02266i | ||||
\(929\) | −32.1133 | −1.05360 | −0.526802 | − | 0.849988i | \(-0.676609\pi\) | ||||
−0.526802 | + | 0.849988i | \(0.676609\pi\) | |||||||
\(930\) | −80.8082 | + | 53.7751i | −2.64981 | + | 1.76335i | ||||
\(931\) | −7.67366 | −0.251494 | ||||||||
\(932\) | 18.6155 | + | 57.2927i | 0.609772 | + | 1.87668i | ||||
\(933\) | −8.72398 | + | 26.8497i | −0.285610 | + | 0.879018i | ||||
\(934\) | 47.0591 | − | 34.1904i | 1.53982 | − | 1.11875i | ||||
\(935\) | 13.3595 | 0.436901 | ||||||||
\(936\) | 16.7230 | 0.546608 | ||||||||
\(937\) | −22.6271 | + | 16.4395i | −0.739194 | + | 0.537056i | −0.892459 | − | 0.451129i | \(-0.851021\pi\) |
0.153265 | + | 0.988185i | \(0.451021\pi\) | |||||||
\(938\) | 2.30240 | + | 1.67279i | 0.0751761 | + | 0.0546187i | ||||
\(939\) | 3.30972 | + | 2.40465i | 0.108009 | + | 0.0784728i | ||||
\(940\) | 18.7723 | + | 57.7751i | 0.612284 | + | 1.88442i | ||||
\(941\) | 17.0982 | − | 12.4226i | 0.557386 | − | 0.404964i | −0.273116 | − | 0.961981i | \(-0.588054\pi\) |
0.830501 | + | 0.557017i | \(0.188054\pi\) | |||||||
\(942\) | 25.7562 | + | 79.2695i | 0.839183 | + | 2.58274i | ||||
\(943\) | −5.93220 | + | 18.2574i | −0.193179 | + | 0.594543i | ||||
\(944\) | −14.6090 | − | 10.6141i | −0.475484 | − | 0.345459i | ||||
\(945\) | −0.941661 | + | 2.89813i | −0.0306322 | + | 0.0942763i | ||||
\(946\) | 20.4941 | − | 63.0744i | 0.666321 | − | 2.05073i | ||||
\(947\) | 14.7252 | + | 10.6985i | 0.478506 | + | 0.347655i | 0.800747 | − | 0.599003i | \(-0.204436\pi\) |
−0.322241 | + | 0.946658i | \(0.604436\pi\) | |||||||
\(948\) | −10.3426 | + | 31.8313i | −0.335913 | + | 1.03383i | ||||
\(949\) | −11.9215 | − | 36.6905i | −0.386987 | − | 1.19102i | ||||
\(950\) | −14.8418 | + | 10.7832i | −0.481533 | + | 0.349854i | ||||
\(951\) | 17.5722 | + | 54.0817i | 0.569818 | + | 1.75372i | ||||
\(952\) | −0.550999 | − | 0.400324i | −0.0178580 | − | 0.0129746i | ||||
\(953\) | −20.7081 | − | 15.0453i | −0.670802 | − | 0.487366i | 0.199491 | − | 0.979900i | \(-0.436071\pi\) |
−0.870294 | + | 0.492533i | \(0.836071\pi\) | |||||||
\(954\) | −22.0529 | + | 16.0224i | −0.713989 | + | 0.518743i | ||||
\(955\) | 28.5913 | 0.925194 | ||||||||
\(956\) | −79.4722 | −2.57032 | ||||||||
\(957\) | 58.4904 | − | 42.4958i | 1.89073 | − | 1.37369i | ||||
\(958\) | −6.64270 | + | 20.4441i | −0.214616 | + | 0.660520i | ||||
\(959\) | 0.613323 | + | 1.88761i | 0.0198052 | + | 0.0609543i | ||||
\(960\) | −96.9638 | −3.12949 | ||||||||
\(961\) | 11.9707 | − | 28.5955i | 0.386151 | − | 0.922436i | ||||
\(962\) | −46.7136 | −1.50611 | ||||||||
\(963\) | −1.10593 | − | 3.40370i | −0.0356381 | − | 0.109683i | ||||
\(964\) | −11.8045 | + | 36.3306i | −0.380199 | + | 1.17013i | ||||
\(965\) | 49.0341 | − | 35.6253i | 1.57846 | − | 1.14682i | ||||
\(966\) | −11.1296 | −0.358090 | ||||||||
\(967\) | 37.4298 | 1.20366 | 0.601831 | − | 0.798624i | \(-0.294438\pi\) | ||||
0.601831 | + | 0.798624i | \(0.294438\pi\) | |||||||
\(968\) | −3.54381 | + | 2.57473i | −0.113902 | + | 0.0827549i | ||||
\(969\) | −2.11347 | − | 1.53552i | −0.0678944 | − | 0.0493281i | ||||
\(970\) | 4.56036 | + | 3.31329i | 0.146424 | + | 0.106383i | ||||
\(971\) | 4.15102 | + | 12.7755i | 0.133213 | + | 0.409987i | 0.995308 | − | 0.0967601i | \(-0.0308480\pi\) |
−0.862095 | + | 0.506747i | \(0.830848\pi\) | |||||||
\(972\) | 41.1440 | − | 29.8929i | 1.31969 | − | 0.958815i | ||||
\(973\) | −0.375481 | − | 1.15561i | −0.0120374 | − | 0.0370473i | ||||
\(974\) | −4.23301 | + | 13.0279i | −0.135634 | + | 0.417440i | ||||
\(975\) | −77.0274 | − | 55.9637i | −2.46685 | − | 1.79227i | ||||
\(976\) | 6.49072 | − | 19.9764i | 0.207763 | − | 0.639429i | ||||
\(977\) | 7.18957 | − | 22.1272i | 0.230015 | − | 0.707913i | −0.767729 | − | 0.640775i | \(-0.778613\pi\) |
0.997744 | − | 0.0671379i | \(-0.0213867\pi\) | |||||||
\(978\) | −37.7288 | − | 27.4116i | −1.20643 | − | 0.876526i | ||||
\(979\) | 16.2427 | − | 49.9898i | 0.519118 | − | 1.59768i | ||||
\(980\) | −19.2926 | − | 59.3765i | −0.616279 | − | 1.89671i | ||||
\(981\) | −25.6241 | + | 18.6170i | −0.818114 | + | 0.594394i | ||||
\(982\) | −21.4535 | − | 66.0272i | −0.684610 | − | 2.10701i | ||||
\(983\) | −42.5287 | − | 30.8989i | −1.35646 | − | 0.985522i | −0.998662 | − | 0.0517215i | \(-0.983529\pi\) |
−0.357793 | − | 0.933801i | \(-0.616471\pi\) | |||||||
\(984\) | −10.7540 | − | 7.81321i | −0.342824 | − | 0.249076i | ||||
\(985\) | 22.1247 | − | 16.0746i | 0.704952 | − | 0.512178i | ||||
\(986\) | −17.9229 | −0.570783 | ||||||||
\(987\) | 7.68049 | 0.244473 | ||||||||
\(988\) | −13.3655 | + | 9.71060i | −0.425213 | + | 0.308935i | ||||
\(989\) | −11.1520 | + | 34.3222i | −0.354612 | + | 1.09138i | ||||
\(990\) | 20.0907 | + | 61.8327i | 0.638523 | + | 1.96517i | ||||
\(991\) | −15.8070 | −0.502126 | −0.251063 | − | 0.967971i | \(-0.580780\pi\) | ||||
−0.251063 | + | 0.967971i | \(0.580780\pi\) | |||||||
\(992\) | 36.0168 | − | 23.9679i | 1.14353 | − | 0.760982i | ||||
\(993\) | 79.4345 | 2.52078 | ||||||||
\(994\) | 2.28849 | + | 7.04325i | 0.0725865 | + | 0.223398i | ||||
\(995\) | 23.4399 | − | 72.1406i | 0.743095 | − | 2.28701i | ||||
\(996\) | 79.7964 | − | 57.9755i | 2.52845 | − | 1.83702i | ||||
\(997\) | 1.56184 | 0.0494639 | 0.0247320 | − | 0.999694i | \(-0.492127\pi\) | ||||
0.0247320 | + | 0.999694i | \(0.492127\pi\) | |||||||
\(998\) | −17.5874 | −0.556719 | ||||||||
\(999\) | −5.36249 | + | 3.89608i | −0.169662 | + | 0.123266i |
(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 | 527.2.h.c.35.19 | ✓ | 96 | |
31.8 | even | 5 | inner | 527.2.h.c.256.19 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
527.2.h.c.35.19 | ✓ | 96 | 1.1 | even | 1 | trivial | |
527.2.h.c.256.19 | yes | 96 | 31.8 | even | 5 | inner |