Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), 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: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.10 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.10 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.18353 | − | 0.122624i | −1.54399 | − | 0.0867086i | −0.736438 | − | 0.676505i | \(-0.763494\pi\) |
−0.807552 | + | 0.589797i | \(0.799208\pi\) | |||||||
\(3\) | −0.306057 | + | 0.518842i | −0.176702 | + | 0.299554i | −0.936541 | − | 0.350558i | \(-0.885992\pi\) |
0.759839 | + | 0.650111i | \(0.225278\pi\) | |||||||
\(4\) | 2.76535 | + | 0.311580i | 1.38267 | + | 0.155790i | ||||
\(5\) | −0.0690731 | − | 2.46186i | −0.0308904 | − | 1.10098i | −0.849817 | − | 0.527078i | \(-0.823287\pi\) |
0.818926 | − | 0.573899i | \(-0.194570\pi\) | |||||||
\(6\) | 0.731908 | − | 1.09538i | 0.298800 | − | 0.447186i | ||||
\(7\) | −3.13875 | + | 0.624337i | −1.18634 | + | 0.235977i | −0.748536 | − | 0.663095i | \(-0.769243\pi\) |
−0.437801 | + | 0.899072i | \(0.644243\pi\) | |||||||
\(8\) | −1.68787 | − | 0.286781i | −0.596752 | − | 0.101392i | ||||
\(9\) | 1.27563 | + | 2.30808i | 0.425210 | + | 0.769360i | ||||
\(10\) | −0.151061 | + | 5.38402i | −0.0477697 | + | 1.70258i | ||||
\(11\) | −2.27416 | + | 0.724839i | −0.685685 | + | 0.218547i | −0.626177 | − | 0.779681i | \(-0.715381\pi\) |
−0.0595071 | + | 0.998228i | \(0.518953\pi\) | |||||||
\(12\) | −1.00802 | + | 1.33942i | −0.290989 | + | 0.386657i | ||||
\(13\) | 0.572295 | − | 0.910802i | 0.158726 | − | 0.252611i | −0.757888 | − | 0.652385i | \(-0.773769\pi\) |
0.916614 | + | 0.399774i | \(0.130911\pi\) | |||||||
\(14\) | 6.93012 | − | 0.978371i | 1.85215 | − | 0.261481i | ||||
\(15\) | 1.29846 | + | 0.717632i | 0.335260 | + | 0.185292i | ||||
\(16\) | −1.77580 | − | 0.405314i | −0.443949 | − | 0.101328i | ||||
\(17\) | 3.69213 | − | 1.83526i | 0.895473 | − | 0.445116i | ||||
\(18\) | −2.50235 | − | 5.19619i | −0.589810 | − | 1.22475i | ||||
\(19\) | 6.60529 | + | 3.65061i | 1.51536 | + | 0.837508i | 0.999813 | − | 0.0193544i | \(-0.00616108\pi\) |
0.515545 | + | 0.856863i | \(0.327590\pi\) | |||||||
\(20\) | 0.576054 | − | 6.82942i | 0.128810 | − | 1.52710i | ||||
\(21\) | 0.636705 | − | 1.81960i | 0.138941 | − | 0.397069i | ||||
\(22\) | 5.05458 | − | 1.30384i | 1.07764 | − | 0.277980i | ||||
\(23\) | −1.81145 | − | 5.68335i | −0.377713 | − | 1.18506i | −0.934972 | − | 0.354722i | \(-0.884576\pi\) |
0.557259 | − | 0.830338i | \(-0.311853\pi\) | |||||||
\(24\) | 0.665379 | − | 0.787967i | 0.135820 | − | 0.160843i | ||||
\(25\) | −1.06384 | + | 0.0597442i | −0.212769 | + | 0.0119488i | ||||
\(26\) | −1.36131 | + | 1.91859i | −0.266975 | + | 0.376266i | ||||
\(27\) | −3.39439 | − | 0.0952374i | −0.653251 | − | 0.0183284i | ||||
\(28\) | −8.87427 | + | 0.748536i | −1.67708 | + | 0.141460i | ||||
\(29\) | −3.52990 | + | 4.69042i | −0.655486 | + | 0.870989i | −0.997640 | − | 0.0686552i | \(-0.978129\pi\) |
0.342154 | + | 0.939644i | \(0.388843\pi\) | |||||||
\(30\) | −2.74722 | − | 1.72619i | −0.501572 | − | 0.315158i | ||||
\(31\) | −4.39037 | + | 0.619817i | −0.788533 | + | 0.111322i | −0.522497 | − | 0.852641i | \(-0.675000\pi\) |
−0.266036 | + | 0.963963i | \(0.585714\pi\) | |||||||
\(32\) | 7.11810 | + | 2.05069i | 1.25831 | + | 0.362514i | ||||
\(33\) | 0.319945 | − | 1.40177i | 0.0556953 | − | 0.244017i | ||||
\(34\) | −8.28693 | + | 3.55460i | −1.42120 | + | 0.609609i | ||||
\(35\) | 1.75383 | + | 7.68404i | 0.296452 | + | 1.29884i | ||||
\(36\) | 2.80841 | + | 6.78010i | 0.468068 | + | 1.13002i | ||||
\(37\) | −0.792649 | + | 0.529631i | −0.130311 | + | 0.0870708i | −0.619017 | − | 0.785377i | \(-0.712469\pi\) |
0.488707 | + | 0.872448i | \(0.337469\pi\) | |||||||
\(38\) | −13.9752 | − | 8.78120i | −2.26708 | − | 1.42450i | ||||
\(39\) | 0.297408 | + | 0.575688i | 0.0476233 | + | 0.0921839i | ||||
\(40\) | −0.589427 | + | 4.17511i | −0.0931966 | + | 0.660142i | ||||
\(41\) | 2.35233 | − | 9.11923i | 0.367372 | − | 1.42418i | −0.472467 | − | 0.881349i | \(-0.656636\pi\) |
0.839839 | − | 0.542836i | \(-0.182649\pi\) | |||||||
\(42\) | −1.61339 | + | 3.89508i | −0.248952 | + | 0.601023i | ||||
\(43\) | −4.56164 | − | 4.71078i | −0.695644 | − | 0.718387i | ||||
\(44\) | −6.51468 | + | 1.29585i | −0.982125 | + | 0.195357i | ||||
\(45\) | 5.59405 | − | 3.29985i | 0.833912 | − | 0.491912i | ||||
\(46\) | 3.25843 | + | 12.6319i | 0.480429 | + | 1.86247i | ||||
\(47\) | 0.524752 | − | 4.65730i | 0.0765429 | − | 0.679337i | −0.895586 | − | 0.444889i | \(-0.853243\pi\) |
0.972129 | − | 0.234448i | \(-0.0753283\pi\) | |||||||
\(48\) | 0.753789 | − | 0.797308i | 0.108800 | − | 0.115082i | ||||
\(49\) | 2.99481 | − | 1.24049i | 0.427830 | − | 0.177213i | ||||
\(50\) | 2.33026 | 0.329549 | ||||||||
\(51\) | −0.177793 | + | 2.47733i | −0.0248960 | + | 0.346895i | ||||
\(52\) | 1.86638 | − | 2.34037i | 0.258821 | − | 0.324551i | ||||
\(53\) | 9.65445 | − | 1.64036i | 1.32614 | − | 0.225320i | 0.539111 | − | 0.842235i | \(-0.318760\pi\) |
0.787030 | + | 0.616915i | \(0.211618\pi\) | |||||||
\(54\) | 7.40008 | + | 0.624189i | 1.00702 | + | 0.0849414i | ||||
\(55\) | 1.94154 | + | 5.54859i | 0.261797 | + | 0.748172i | ||||
\(56\) | 5.47685 | − | 0.153666i | 0.731875 | − | 0.0205344i | ||||
\(57\) | −3.91569 | + | 2.30981i | −0.518646 | + | 0.305941i | ||||
\(58\) | 8.28281 | − | 9.80882i | 1.08759 | − | 1.28796i | ||||
\(59\) | 4.82111 | − | 6.79471i | 0.627655 | − | 0.884596i | −0.371382 | − | 0.928480i | \(-0.621116\pi\) |
0.999037 | + | 0.0438838i | \(0.0139731\pi\) | |||||||
\(60\) | 3.36708 | + | 2.38907i | 0.434689 | + | 0.308428i | ||||
\(61\) | −4.43229 | − | 5.88948i | −0.567496 | − | 0.754071i | 0.420711 | − | 0.907195i | \(-0.361781\pi\) |
−0.988207 | + | 0.153124i | \(0.951066\pi\) | |||||||
\(62\) | 9.66251 | − | 0.815023i | 1.22714 | − | 0.103508i | ||||
\(63\) | −5.44491 | − | 6.44807i | −0.685994 | − | 0.812380i | ||||
\(64\) | −11.8526 | − | 4.14741i | −1.48158 | − | 0.518427i | ||||
\(65\) | −2.28180 | − | 1.34600i | −0.283022 | − | 0.166950i | ||||
\(66\) | −0.870502 | + | 3.02158i | −0.107151 | + | 0.371931i | ||||
\(67\) | −5.70681 | + | 4.55103i | −0.697197 | + | 0.555996i | −0.906682 | − | 0.421816i | \(-0.861393\pi\) |
0.209484 | + | 0.977812i | \(0.432822\pi\) | |||||||
\(68\) | 10.7819 | − | 3.92474i | 1.30749 | − | 0.475944i | ||||
\(69\) | 3.50317 | + | 0.799575i | 0.421732 | + | 0.0962575i | ||||
\(70\) | −2.88730 | − | 16.9934i | −0.345098 | − | 2.03110i | ||||
\(71\) | −1.23199 | − | 0.392672i | −0.146211 | − | 0.0466016i | 0.229676 | − | 0.973267i | \(-0.426233\pi\) |
−0.375887 | + | 0.926666i | \(0.622662\pi\) | |||||||
\(72\) | −1.49119 | − | 4.26156i | −0.175738 | − | 0.502230i | ||||
\(73\) | −0.440258 | − | 15.6914i | −0.0515283 | − | 1.83654i | −0.420727 | − | 0.907187i | \(-0.638225\pi\) |
0.369199 | − | 0.929350i | \(-0.379632\pi\) | |||||||
\(74\) | 1.79572 | − | 1.05927i | 0.208748 | − | 0.123137i | ||||
\(75\) | 0.294599 | − | 0.570252i | 0.0340174 | − | 0.0658471i | ||||
\(76\) | 17.1285 | + | 12.1533i | 1.96477 | + | 1.39408i | ||||
\(77\) | 6.68548 | − | 3.69493i | 0.761881 | − | 0.421077i | ||||
\(78\) | −0.578805 | − | 1.29350i | −0.0655368 | − | 0.146460i | ||||
\(79\) | −2.93937 | − | 1.96402i | −0.330704 | − | 0.220970i | 0.379121 | − | 0.925347i | \(-0.376226\pi\) |
−0.709826 | + | 0.704377i | \(0.751226\pi\) | |||||||
\(80\) | −0.875166 | + | 4.39975i | −0.0978465 | + | 0.491908i | ||||
\(81\) | −3.12083 | + | 4.96677i | −0.346758 | + | 0.551863i | ||||
\(82\) | −6.25463 | + | 19.6237i | −0.690708 | + | 2.16707i | ||||
\(83\) | 10.0464 | − | 11.2419i | 1.10273 | − | 1.23396i | 0.132657 | − | 0.991162i | \(-0.457649\pi\) |
0.970077 | − | 0.242798i | \(-0.0780651\pi\) | |||||||
\(84\) | 2.32766 | − | 4.83344i | 0.253969 | − | 0.527372i | ||||
\(85\) | −4.77318 | − | 8.96274i | −0.517724 | − | 0.972145i | ||||
\(86\) | 9.38283 | + | 10.8455i | 1.01178 | + | 1.16950i | ||||
\(87\) | −1.35323 | − | 3.26700i | −0.145082 | − | 0.350259i | ||||
\(88\) | 4.04635 | − | 0.571250i | 0.431343 | − | 0.0608955i | ||||
\(89\) | −9.26450 | − | 3.24179i | −0.982035 | − | 0.343629i | −0.208947 | − | 0.977927i | \(-0.567004\pi\) |
−0.773089 | + | 0.634298i | \(0.781289\pi\) | |||||||
\(90\) | −12.6194 | + | 6.51935i | −1.33021 | + | 0.687200i | ||||
\(91\) | −1.22764 | + | 3.21609i | −0.128692 | + | 0.337138i | ||||
\(92\) | −3.23846 | − | 16.2808i | −0.337633 | − | 1.69740i | ||||
\(93\) | 1.02212 | − | 2.46761i | 0.105989 | − | 0.255879i | ||||
\(94\) | −1.71691 | + | 10.1050i | −0.177086 | + | 1.04225i | ||||
\(95\) | 8.53105 | − | 16.5134i | 0.875267 | − | 1.69424i | ||||
\(96\) | −3.24253 | + | 3.06554i | −0.330939 | + | 0.312876i | ||||
\(97\) | 13.0706 | − | 11.0371i | 1.32712 | − | 1.12065i | 0.343740 | − | 0.939065i | \(-0.388306\pi\) |
0.983375 | − | 0.181584i | \(-0.0581223\pi\) | |||||||
\(98\) | −6.69138 | + | 2.34142i | −0.675932 | + | 0.236519i | ||||
\(99\) | −4.57397 | − | 4.32431i | −0.459702 | − | 0.434610i | ||||
\(100\) | −2.96051 | − | 0.166259i | −0.296051 | − | 0.0166259i | ||||
\(101\) | 15.6724 | − | 12.4983i | 1.55946 | − | 1.24363i | 0.734055 | − | 0.679090i | \(-0.237625\pi\) |
0.825406 | − | 0.564539i | \(-0.190946\pi\) | |||||||
\(102\) | 0.691997 | − | 5.38752i | 0.0685180 | − | 0.533444i | ||||
\(103\) | −0.897000 | + | 3.93001i | −0.0883840 | + | 0.387236i | −0.999701 | − | 0.0244708i | \(-0.992210\pi\) |
0.911317 | + | 0.411706i | \(0.135067\pi\) | |||||||
\(104\) | −1.22716 | + | 1.37319i | −0.120333 | + | 0.134653i | ||||
\(105\) | −4.52358 | − | 1.44179i | −0.441456 | − | 0.140705i | ||||
\(106\) | −21.2819 | + | 2.39790i | −2.06708 | + | 0.232905i | ||||
\(107\) | −0.693924 | − | 2.69012i | −0.0670842 | − | 0.260064i | 0.925991 | − | 0.377546i | \(-0.123232\pi\) |
−0.993075 | + | 0.117482i | \(0.962518\pi\) | |||||||
\(108\) | −9.35699 | − | 1.32099i | −0.900377 | − | 0.127112i | ||||
\(109\) | −0.819418 | − | 0.423322i | −0.0784860 | − | 0.0405468i | 0.419291 | − | 0.907852i | \(-0.362279\pi\) |
−0.497777 | + | 0.867305i | \(0.665850\pi\) | |||||||
\(110\) | −3.55901 | − | 12.3536i | −0.339338 | − | 1.17787i | ||||
\(111\) | −0.0321990 | − | 0.573357i | −0.00305620 | − | 0.0544207i | ||||
\(112\) | 5.82683 | + | 0.163485i | 0.550584 | + | 0.0154479i | ||||
\(113\) | 8.21992 | + | 8.69449i | 0.773265 | + | 0.817909i | 0.987292 | − | 0.158919i | \(-0.0508008\pi\) |
−0.214027 | + | 0.976828i | \(0.568658\pi\) | |||||||
\(114\) | 8.83327 | − | 4.56337i | 0.827311 | − | 0.427399i | ||||
\(115\) | −13.8665 | + | 4.85209i | −1.29306 | + | 0.452460i | ||||
\(116\) | −11.2228 | + | 11.8708i | −1.04201 | + | 1.10217i | ||||
\(117\) | 2.83224 | + | 0.159055i | 0.261841 | + | 0.0147047i | ||||
\(118\) | −11.3602 | + | 14.2453i | −1.04579 | + | 1.31138i | ||||
\(119\) | −10.4429 | + | 8.06556i | −0.957296 | + | 0.739368i | ||||
\(120\) | −1.98582 | − | 1.58364i | −0.181280 | − | 0.144566i | ||||
\(121\) | −4.32477 | + | 3.06858i | −0.393160 | + | 0.278962i | ||||
\(122\) | 8.95584 | + | 13.4034i | 0.810824 | + | 1.21348i | ||||
\(123\) | 4.01149 | + | 4.01149i | 0.361704 | + | 0.361704i | ||||
\(124\) | −12.3340 | + | 0.346059i | −1.10763 | + | 0.0310770i | ||||
\(125\) | −0.814445 | − | 9.65566i | −0.0728462 | − | 0.863628i | ||||
\(126\) | 11.0984 | + | 14.7472i | 0.988727 | + | 1.31379i | ||||
\(127\) | −6.38268 | − | 7.14222i | −0.566371 | − | 0.633770i | 0.391771 | − | 0.920063i | \(-0.371863\pi\) |
−0.958142 | + | 0.286293i | \(0.907577\pi\) | |||||||
\(128\) | 11.6845 | + | 4.83989i | 1.03278 | + | 0.427790i | ||||
\(129\) | 3.84027 | − | 0.925006i | 0.338117 | − | 0.0814422i | ||||
\(130\) | 4.81732 | + | 3.21883i | 0.422507 | + | 0.282310i | ||||
\(131\) | −11.5659 | + | 15.3684i | −1.01052 | + | 1.34274i | −0.0720376 | + | 0.997402i | \(0.522950\pi\) |
−0.938478 | + | 0.345338i | \(0.887764\pi\) | |||||||
\(132\) | 1.32152 | − | 3.77670i | 0.115024 | − | 0.328719i | ||||
\(133\) | −23.0116 | − | 7.33445i | −1.99536 | − | 0.635977i | ||||
\(134\) | 13.0191 | − | 9.23751i | 1.12468 | − | 0.798000i | ||||
\(135\) | 8.36309i | 0.719780i | ||||||||
\(136\) | −6.75815 | + | 2.03885i | −0.579507 | + | 0.174830i | ||||
\(137\) | 0.760952 | − | 0.173682i | 0.0650126 | − | 0.0148387i | −0.189891 | − | 0.981805i | \(-0.560813\pi\) |
0.254903 | + | 0.966966i | \(0.417956\pi\) | |||||||
\(138\) | −7.55123 | − | 2.17547i | −0.642803 | − | 0.185188i | ||||
\(139\) | 5.39768 | − | 2.06040i | 0.457825 | − | 0.174761i | −0.116838 | − | 0.993151i | \(-0.537276\pi\) |
0.574663 | + | 0.818390i | \(0.305133\pi\) | |||||||
\(140\) | 2.45576 | + | 21.7955i | 0.207550 | + | 1.84206i | ||||
\(141\) | 2.25580 | + | 1.69766i | 0.189973 | + | 0.142969i | ||||
\(142\) | 2.64195 | + | 1.00848i | 0.221707 | + | 0.0846300i | ||||
\(143\) | −0.641304 | + | 2.48613i | −0.0536285 | + | 0.207901i | ||||
\(144\) | −1.32976 | − | 4.61571i | −0.110814 | − | 0.384642i | ||||
\(145\) | 11.7910 | + | 8.36614i | 0.979186 | + | 0.694770i | ||||
\(146\) | −0.962831 | + | 34.3166i | −0.0796845 | + | 2.84006i | ||||
\(147\) | −0.272964 | + | 1.93350i | −0.0225137 | + | 0.159472i | ||||
\(148\) | −2.35697 | + | 1.21764i | −0.193742 | + | 0.100089i | ||||
\(149\) | −1.35379 | − | 12.0152i | −0.110907 | − | 0.984323i | −0.918727 | − | 0.394894i | \(-0.870781\pi\) |
0.807820 | − | 0.589429i | \(-0.200647\pi\) | |||||||
\(150\) | −0.713194 | + | 1.20904i | −0.0582320 | + | 0.0987176i | ||||
\(151\) | 1.79493 | + | 1.60404i | 0.146069 | + | 0.130535i | 0.736177 | − | 0.676789i | \(-0.236629\pi\) |
−0.590108 | + | 0.807324i | \(0.700915\pi\) | |||||||
\(152\) | −10.1019 | − | 8.05603i | −0.819376 | − | 0.653431i | ||||
\(153\) | 8.94572 | + | 6.18062i | 0.723218 | + | 0.499673i | ||||
\(154\) | −15.0510 | + | 7.24820i | −1.21285 | + | 0.584076i | ||||
\(155\) | 1.82916 | + | 10.7656i | 0.146921 | + | 0.864718i | ||||
\(156\) | 0.643063 | + | 1.68464i | 0.0514862 | + | 0.134880i | ||||
\(157\) | 0.299464 | − | 2.65782i | 0.0238998 | − | 0.212117i | −0.976086 | − | 0.217383i | \(-0.930248\pi\) |
0.999986 | + | 0.00526657i | \(0.00167641\pi\) | |||||||
\(158\) | 6.17736 | + | 4.64894i | 0.491444 | + | 0.369850i | ||||
\(159\) | −2.10373 | + | 5.51118i | −0.166836 | + | 0.437065i | ||||
\(160\) | 4.55684 | − | 17.6654i | 0.360250 | − | 1.39657i | ||||
\(161\) | 9.23400 | + | 16.7077i | 0.727741 | + | 1.31675i | ||||
\(162\) | 7.42347 | − | 10.4624i | 0.583243 | − | 0.822004i | ||||
\(163\) | 8.77169 | + | 4.53156i | 0.687052 | + | 0.354939i | 0.766809 | − | 0.641875i | \(-0.221843\pi\) |
−0.0797575 | + | 0.996814i | \(0.525415\pi\) | |||||||
\(164\) | 9.34638 | − | 24.4849i | 0.729829 | − | 1.91195i | ||||
\(165\) | −3.47306 | − | 0.690835i | −0.270378 | − | 0.0537815i | ||||
\(166\) | −23.3151 | + | 23.3151i | −1.80960 | + | 1.80960i | ||||
\(167\) | −13.9602 | − | 13.1982i | −1.08027 | − | 1.02131i | −0.999698 | − | 0.0245584i | \(-0.992182\pi\) |
−0.0805733 | − | 0.996749i | \(-0.525675\pi\) | |||||||
\(168\) | −1.59650 | + | 2.88865i | −0.123173 | + | 0.222864i | ||||
\(169\) | 5.13845 | + | 10.6701i | 0.395265 | + | 0.820777i | ||||
\(170\) | 9.32333 | + | 20.1557i | 0.715067 | + | 1.54587i | ||||
\(171\) | 19.9024i | 1.52197i | ||||||||
\(172\) | −11.1467 | − | 14.4482i | −0.849931 | − | 1.10167i | ||||
\(173\) | −1.74525 | − | 2.61195i | −0.132689 | − | 0.198583i | 0.759176 | − | 0.650886i | \(-0.225602\pi\) |
−0.891864 | + | 0.452303i | \(0.850602\pi\) | |||||||
\(174\) | 2.55422 | + | 7.29953i | 0.193635 | + | 0.553376i | ||||
\(175\) | 3.30184 | − | 0.851719i | 0.249596 | − | 0.0643839i | ||||
\(176\) | 4.33223 | − | 0.365419i | 0.326554 | − | 0.0275445i | ||||
\(177\) | 2.04985 | + | 4.58096i | 0.154076 | + | 0.344326i | ||||
\(178\) | 19.8318 | + | 8.21460i | 1.48646 | + | 0.615711i | ||||
\(179\) | 16.8760 | + | 6.99028i | 1.26137 | + | 0.522478i | 0.910331 | − | 0.413881i | \(-0.135827\pi\) |
0.351043 | + | 0.936359i | \(0.385827\pi\) | |||||||
\(180\) | 16.4977 | − | 7.38223i | 1.22966 | − | 0.550239i | ||||
\(181\) | 5.32195 | − | 1.69626i | 0.395578 | − | 0.126082i | −0.0992724 | − | 0.995060i | \(-0.531652\pi\) |
0.494850 | + | 0.868978i | \(0.335223\pi\) | |||||||
\(182\) | 3.07497 | − | 6.87189i | 0.227932 | − | 0.509378i | ||||
\(183\) | 4.41224 | − | 0.497140i | 0.326162 | − | 0.0367497i | ||||
\(184\) | 1.42761 | + | 10.1122i | 0.105245 | + | 0.745484i | ||||
\(185\) | 1.35863 | + | 1.91481i | 0.0998883 | + | 0.140779i | ||||
\(186\) | −2.53441 | + | 5.26276i | −0.185832 | + | 0.385884i | ||||
\(187\) | −7.06622 | + | 6.84987i | −0.516733 | + | 0.500912i | ||||
\(188\) | 2.90224 | − | 12.7156i | 0.211668 | − | 0.927377i | ||||
\(189\) | 10.7136 | − | 1.82032i | 0.779300 | − | 0.132408i | ||||
\(190\) | −20.6528 | + | 35.0115i | −1.49831 | + | 2.54000i | ||||
\(191\) | −0.824139 | + | 7.31444i | −0.0596326 | + | 0.529254i | 0.928013 | + | 0.372548i | \(0.121516\pi\) |
−0.987645 | + | 0.156706i | \(0.949913\pi\) | |||||||
\(192\) | 5.77944 | − | 4.88030i | 0.417095 | − | 0.352205i | ||||
\(193\) | −3.80853 | + | 26.9771i | −0.274144 | + | 1.94185i | 0.0572445 | + | 0.998360i | \(0.481769\pi\) |
−0.331389 | + | 0.943494i | \(0.607517\pi\) | |||||||
\(194\) | −29.8934 | + | 22.4971i | −2.14622 | + | 1.61520i | ||||
\(195\) | 1.39672 | − | 0.771940i | 0.100021 | − | 0.0552798i | ||||
\(196\) | 8.66821 | − | 2.49727i | 0.619158 | − | 0.178376i | ||||
\(197\) | 1.16423 | − | 0.876170i | 0.0829477 | − | 0.0624245i | −0.559033 | − | 0.829146i | \(-0.688827\pi\) |
0.641980 | + | 0.766721i | \(0.278113\pi\) | |||||||
\(198\) | 9.45715 | + | 10.0031i | 0.672090 | + | 0.710893i | ||||
\(199\) | 0.597338 | + | 0.267291i | 0.0423441 | + | 0.0189478i | 0.429506 | − | 0.903064i | \(-0.358688\pi\) |
−0.387162 | + | 0.922012i | \(0.626545\pi\) | |||||||
\(200\) | 1.81276 | + | 0.204250i | 0.128182 | + | 0.0144426i | ||||
\(201\) | −0.614655 | − | 4.35381i | −0.0433544 | − | 0.307094i | ||||
\(202\) | −35.7538 | + | 25.3686i | −2.51563 | + | 1.78493i | ||||
\(203\) | 8.15109 | − | 16.9259i | 0.572094 | − | 1.18797i | ||||
\(204\) | −1.26354 | + | 6.79527i | −0.0884658 | + | 0.475764i | ||||
\(205\) | −22.6127 | − | 5.16121i | −1.57934 | − | 0.360475i | ||||
\(206\) | 2.44054 | − | 8.47131i | 0.170041 | − | 0.590224i | ||||
\(207\) | 10.8069 | − | 11.4308i | 0.751130 | − | 0.794497i | ||||
\(208\) | −1.38544 | + | 1.38544i | −0.0960630 | + | 0.0960630i | ||||
\(209\) | −17.6676 | − | 3.51430i | −1.22209 | − | 0.243089i | ||||
\(210\) | 9.70057 | + | 3.70290i | 0.669403 | + | 0.255525i | ||||
\(211\) | −1.56097 | − | 1.31812i | −0.107462 | − | 0.0907432i | 0.589844 | − | 0.807517i | \(-0.299189\pi\) |
−0.697305 | + | 0.716774i | \(0.745618\pi\) | |||||||
\(212\) | 27.2090 | − | 1.52803i | 1.86872 | − | 0.104945i | ||||
\(213\) | 0.580795 | − | 0.519030i | 0.0397954 | − | 0.0355634i | ||||
\(214\) | 1.18533 | + | 5.95906i | 0.0810275 | + | 0.407353i | ||||
\(215\) | −11.2822 | + | 11.5555i | −0.769438 | + | 0.788079i | ||||
\(216\) | 5.70198 | + | 1.13419i | 0.387970 | + | 0.0771721i | ||||
\(217\) | 13.3933 | − | 4.68652i | 0.909196 | − | 0.318142i | ||||
\(218\) | 1.73732 | + | 1.02482i | 0.117666 | + | 0.0694093i | ||||
\(219\) | 8.27610 | + | 4.57404i | 0.559247 | + | 0.309085i | ||||
\(220\) | 3.64019 | + | 15.9487i | 0.245422 | + | 1.07526i | ||||
\(221\) | 0.441429 | − | 4.41311i | 0.0296937 | − | 0.296858i | ||||
\(222\) | 1.25589i | 0.0842899i | ||||||||
\(223\) | −6.31466 | − | 8.89968i | −0.422861 | − | 0.595966i | 0.547744 | − | 0.836646i | \(-0.315487\pi\) |
−0.970605 | + | 0.240680i | \(0.922630\pi\) | |||||||
\(224\) | −23.6223 | − | 1.99251i | −1.57833 | − | 0.133130i | ||||
\(225\) | −1.49497 | − | 2.37923i | −0.0996644 | − | 0.158615i | ||||
\(226\) | −16.8823 | − | 19.9927i | −1.12299 | − | 1.32989i | ||||
\(227\) | −6.53597 | − | 11.0801i | −0.433808 | − | 0.735411i | 0.561975 | − | 0.827154i | \(-0.310042\pi\) |
−0.995783 | + | 0.0917437i | \(0.970756\pi\) | |||||||
\(228\) | −11.5479 | + | 5.16737i | −0.764780 | + | 0.342217i | ||||
\(229\) | −6.77501 | − | 7.58124i | −0.447705 | − | 0.500982i | 0.478455 | − | 0.878112i | \(-0.341197\pi\) |
−0.926161 | + | 0.377130i | \(0.876911\pi\) | |||||||
\(230\) | 30.8729 | − | 8.89432i | 2.03570 | − | 0.586474i | ||||
\(231\) | −0.129051 | + | 4.59957i | −0.00849096 | + | 0.302629i | ||||
\(232\) | 7.30314 | − | 6.90451i | 0.479474 | − | 0.453303i | ||||
\(233\) | −1.43982 | − | 5.58173i | −0.0943259 | − | 0.365672i | 0.903722 | − | 0.428119i | \(-0.140824\pi\) |
−0.998048 | + | 0.0624476i | \(0.980109\pi\) | |||||||
\(234\) | −6.16478 | − | 0.694604i | −0.403004 | − | 0.0454077i | ||||
\(235\) | −11.5019 | − | 0.970171i | −0.750299 | − | 0.0632870i | ||||
\(236\) | 15.4491 | − | 17.2876i | 1.00565 | − | 1.12533i | ||||
\(237\) | 1.91863 | − | 0.923964i | 0.124628 | − | 0.0600179i | ||||
\(238\) | 23.7913 | − | 16.3308i | 1.54216 | − | 1.05857i | ||||
\(239\) | 7.98715 | + | 10.0156i | 0.516645 | + | 0.647853i | 0.969893 | − | 0.243532i | \(-0.0783060\pi\) |
−0.453247 | + | 0.891385i | \(0.649735\pi\) | |||||||
\(240\) | −2.01493 | − | 1.80065i | −0.130063 | − | 0.116231i | ||||
\(241\) | 6.47929 | + | 16.9739i | 0.417367 | + | 1.09339i | 0.966277 | + | 0.257505i | \(0.0829002\pi\) |
−0.548910 | + | 0.835882i | \(0.684957\pi\) | |||||||
\(242\) | 9.81954 | − | 6.17003i | 0.631224 | − | 0.396624i | ||||
\(243\) | −6.29755 | − | 12.1901i | −0.403988 | − | 0.781994i | ||||
\(244\) | −10.4218 | − | 17.6675i | −0.667186 | − | 1.13104i | ||||
\(245\) | −3.26078 | − | 7.28712i | −0.208323 | − | 0.465557i | ||||
\(246\) | −8.26731 | − | 9.25113i | −0.527105 | − | 0.589830i | ||||
\(247\) | 7.10516 | − | 3.92688i | 0.452091 | − | 0.249862i | ||||
\(248\) | 7.58812 | + | 0.212902i | 0.481846 | + | 0.0135193i | ||||
\(249\) | 2.75801 | + | 8.65315i | 0.174782 | + | 0.548371i | ||||
\(250\) | 0.594346 | + | 21.1833i | 0.0375897 | + | 1.33975i | ||||
\(251\) | −16.1865 | − | 16.1865i | −1.02168 | − | 1.02168i | −0.999760 | − | 0.0219231i | \(-0.993021\pi\) |
−0.0219231 | − | 0.999760i | \(-0.506979\pi\) | |||||||
\(252\) | −13.0480 | − | 19.5277i | −0.821945 | − | 1.23013i | ||||
\(253\) | 8.23903 | + | 11.6118i | 0.517983 | + | 0.730029i | ||||
\(254\) | 13.0610 | + | 16.3779i | 0.819518 | + | 1.02764i | ||||
\(255\) | 6.11111 | + | 0.266585i | 0.382693 | + | 0.0166942i | ||||
\(256\) | −2.29258 | − | 1.10405i | −0.143286 | − | 0.0690029i | ||||
\(257\) | −1.62246 | + | 0.672044i | −0.101206 | + | 0.0419210i | −0.432712 | − | 0.901532i | \(-0.642443\pi\) |
0.331506 | + | 0.943453i | \(0.392443\pi\) | |||||||
\(258\) | −8.49878 | + | 1.54887i | −0.529111 | + | 0.0964282i | ||||
\(259\) | 2.15726 | − | 2.15726i | 0.134046 | − | 0.134046i | ||||
\(260\) | −5.89057 | − | 4.43311i | −0.365318 | − | 0.274930i | ||||
\(261\) | −15.3287 | − | 2.16405i | −0.948823 | − | 0.133952i | ||||
\(262\) | 27.1390 | − | 32.1390i | 1.67665 | − | 1.98556i | ||||
\(263\) | −10.3000 | − | 1.75004i | −0.635126 | − | 0.107912i | −0.158985 | − | 0.987281i | \(-0.550822\pi\) |
−0.476141 | + | 0.879369i | \(0.657965\pi\) | |||||||
\(264\) | −0.942027 | + | 2.27425i | −0.0579778 | + | 0.139971i | ||||
\(265\) | −4.70519 | − | 23.6546i | −0.289038 | − | 1.45309i | ||||
\(266\) | 49.3471 | + | 18.8368i | 3.02567 | + | 1.15496i | ||||
\(267\) | 4.51744 | − | 3.81464i | 0.276463 | − | 0.233452i | ||||
\(268\) | −17.1993 | + | 10.8070i | −1.05062 | + | 0.660145i | ||||
\(269\) | −2.45303 | + | 29.0819i | −0.149564 | + | 1.77315i | 0.380099 | + | 0.924946i | \(0.375890\pi\) |
−0.529663 | + | 0.848208i | \(0.677682\pi\) | |||||||
\(270\) | 1.02552 | − | 18.2611i | 0.0624111 | − | 1.11133i | ||||
\(271\) | 23.1448 | − | 5.28265i | 1.40595 | − | 0.320898i | 0.548793 | − | 0.835958i | \(-0.315088\pi\) |
0.857154 | + | 0.515060i | \(0.172230\pi\) | |||||||
\(272\) | −7.30032 | + | 1.76257i | −0.442647 | + | 0.106872i | ||||
\(273\) | −1.29291 | − | 1.62126i | −0.0782506 | − | 0.0981232i | ||||
\(274\) | −1.68286 | + | 0.285930i | −0.101665 | + | 0.0172736i | ||||
\(275\) | 2.37605 | − | 0.906984i | 0.143281 | − | 0.0546932i | ||||
\(276\) | 9.43834 | + | 3.30262i | 0.568121 | + | 0.198794i | ||||
\(277\) | 0.266559 | + | 0.515974i | 0.0160160 | + | 0.0310019i | 0.896318 | − | 0.443411i | \(-0.146232\pi\) |
−0.880302 | + | 0.474413i | \(0.842660\pi\) | |||||||
\(278\) | −12.0387 | + | 3.83707i | −0.722031 | + | 0.230132i | ||||
\(279\) | −7.03107 | − | 9.34266i | −0.420939 | − | 0.559330i | ||||
\(280\) | −0.756607 | − | 13.4726i | −0.0452159 | − | 0.805144i | ||||
\(281\) | −10.1426 | − | 18.3516i | −0.605056 | − | 1.09477i | −0.985454 | − | 0.169943i | \(-0.945642\pi\) |
0.380398 | − | 0.924823i | \(-0.375787\pi\) | |||||||
\(282\) | −4.71743 | − | 3.98352i | −0.280919 | − | 0.237215i | ||||
\(283\) | −9.64955 | − | 1.36229i | −0.573606 | − | 0.0809798i | −0.153005 | − | 0.988225i | \(-0.548895\pi\) |
−0.420601 | + | 0.907246i | \(0.638181\pi\) | |||||||
\(284\) | −3.28454 | − | 1.46974i | −0.194902 | − | 0.0872129i | ||||
\(285\) | 5.95689 | + | 9.48033i | 0.352855 | + | 0.561566i | ||||
\(286\) | 1.70517 | − | 5.34990i | 0.100829 | − | 0.316346i | ||||
\(287\) | −1.68991 | + | 30.0917i | −0.0997523 | + | 1.77625i | ||||
\(288\) | 4.34691 | + | 19.0451i | 0.256144 | + | 1.12224i | ||||
\(289\) | 10.2636 | − | 13.5520i | 0.603744 | − | 0.797178i | ||||
\(290\) | −24.7200 | − | 19.7136i | −1.45161 | − | 1.15762i | ||||
\(291\) | 1.72618 | + | 10.1595i | 0.101190 | + | 0.595563i | ||||
\(292\) | 3.67165 | − | 43.5293i | 0.214867 | − | 2.54736i | ||||
\(293\) | −16.1861 | − | 10.1704i | −0.945602 | − | 0.594161i | −0.0314379 | − | 0.999506i | \(-0.510009\pi\) |
−0.914164 | + | 0.405345i | \(0.867151\pi\) | |||||||
\(294\) | 0.833120 | − | 4.18838i | 0.0485886 | − | 0.244271i | ||||
\(295\) | −17.0606 | − | 11.3996i | −0.993309 | − | 0.663708i | ||||
\(296\) | 1.48978 | − | 0.666632i | 0.0865915 | − | 0.0387472i | ||||
\(297\) | 7.78841 | − | 2.24380i | 0.451930 | − | 0.130199i | ||||
\(298\) | 1.48268 | + | 26.4016i | 0.0858893 | + | 1.52940i | ||||
\(299\) | −6.21309 | − | 1.60268i | −0.359312 | − | 0.0926855i | ||||
\(300\) | 0.992349 | − | 1.48515i | 0.0572933 | − | 0.0857454i | ||||
\(301\) | 17.2590 | + | 11.9380i | 0.994791 | + | 0.688093i | ||||
\(302\) | −3.72258 | − | 3.72258i | −0.214211 | − | 0.214211i | ||||
\(303\) | 1.68801 | + | 11.9567i | 0.0969734 | + | 0.686894i | ||||
\(304\) | −10.2500 | − | 9.15996i | −0.587878 | − | 0.525360i | ||||
\(305\) | −14.1929 | + | 11.3185i | −0.812684 | + | 0.648094i | ||||
\(306\) | −18.7754 | − | 14.5925i | −1.07332 | − | 0.834200i | ||||
\(307\) | −7.79032 | −0.444617 | −0.222308 | − | 0.974976i | \(-0.571359\pi\) | ||||
−0.222308 | + | 0.974976i | \(0.571359\pi\) | |||||||
\(308\) | 19.6389 | − | 8.13471i | 1.11903 | − | 0.463518i | ||||
\(309\) | −1.76452 | − | 1.66821i | −0.100380 | − | 0.0949011i | ||||
\(310\) | −2.67389 | − | 23.7314i | −0.151867 | − | 1.34785i | ||||
\(311\) | 21.1689 | + | 9.47248i | 1.20038 | + | 0.537135i | 0.907920 | − | 0.419143i | \(-0.137669\pi\) |
0.292459 | + | 0.956278i | \(0.405526\pi\) | |||||||
\(312\) | −0.336889 | − | 1.05698i | −0.0190726 | − | 0.0598396i | ||||
\(313\) | 25.8503 | + | 6.66815i | 1.46114 | + | 0.376906i | 0.894504 | − | 0.447059i | \(-0.147529\pi\) |
0.566640 | + | 0.823965i | \(0.308243\pi\) | |||||||
\(314\) | −0.979802 | + | 5.76670i | −0.0552934 | + | 0.325434i | ||||
\(315\) | −15.4981 | + | 13.8500i | −0.873221 | + | 0.780358i | ||||
\(316\) | −7.51642 | − | 6.34705i | −0.422831 | − | 0.357049i | ||||
\(317\) | −8.10121 | + | 7.65902i | −0.455009 | + | 0.430173i | −0.879963 | − | 0.475041i | \(-0.842433\pi\) |
0.424954 | + | 0.905215i | \(0.360290\pi\) | |||||||
\(318\) | 5.26936 | − | 11.7759i | 0.295491 | − | 0.660358i | ||||
\(319\) | 4.62775 | − | 13.2254i | 0.259105 | − | 0.740478i | ||||
\(320\) | −9.39165 | + | 29.4660i | −0.525009 | + | 1.64720i | ||||
\(321\) | 1.60813 | + | 0.463294i | 0.0897571 | + | 0.0258586i | ||||
\(322\) | −18.1140 | − | 37.6140i | −1.00945 | − | 2.09615i | ||||
\(323\) | 31.0874 | + | 1.35612i | 1.72975 | + | 0.0754568i | ||||
\(324\) | −10.1777 | + | 12.7624i | −0.565428 | + | 0.709025i | ||||
\(325\) | −0.554418 | + | 1.00314i | −0.0307536 | + | 0.0556444i | ||||
\(326\) | −18.5976 | − | 10.9704i | −1.03002 | − | 0.607596i | ||||
\(327\) | 0.470426 | − | 0.295588i | 0.0260146 | − | 0.0163461i | ||||
\(328\) | −6.58565 | + | 14.7175i | −0.363632 | + | 0.812637i | ||||
\(329\) | 1.26066 | + | 14.9457i | 0.0695023 | + | 0.823985i | ||||
\(330\) | 7.49883 | + | 1.93434i | 0.412797 | + | 0.106482i | ||||
\(331\) | 16.8277 | + | 2.85914i | 0.924932 | + | 0.157152i | 0.610399 | − | 0.792094i | \(-0.291009\pi\) |
0.314533 | + | 0.949246i | \(0.398152\pi\) | |||||||
\(332\) | 31.2845 | − | 27.9575i | 1.71696 | − | 1.53437i | ||||
\(333\) | −2.23356 | − | 1.15388i | −0.122398 | − | 0.0632324i | ||||
\(334\) | 28.8641 | + | 30.5305i | 1.57937 | + | 1.67056i | ||||
\(335\) | 11.5982 | + | 13.7350i | 0.633676 | + | 0.750423i | ||||
\(336\) | −1.86817 | + | 2.97317i | −0.101917 | + | 0.162200i | ||||
\(337\) | −9.50559 | + | 6.35143i | −0.517802 | + | 0.345985i | −0.786852 | − | 0.617142i | \(-0.788290\pi\) |
0.269050 | + | 0.963126i | \(0.413290\pi\) | |||||||
\(338\) | −9.91155 | − | 23.9286i | −0.539117 | − | 1.30154i | ||||
\(339\) | −7.02684 | + | 1.60383i | −0.381645 | + | 0.0871081i | ||||
\(340\) | −10.4069 | − | 26.2723i | −0.564392 | − | 1.42482i | ||||
\(341\) | 9.53512 | − | 4.59187i | 0.516356 | − | 0.248664i | ||||
\(342\) | 2.44052 | − | 43.4574i | 0.131968 | − | 2.34991i | ||||
\(343\) | 10.0009 | − | 6.68235i | 0.539995 | − | 0.360813i | ||||
\(344\) | 6.34850 | + | 9.25937i | 0.342288 | + | 0.499232i | ||||
\(345\) | 1.72647 | − | 8.67953i | 0.0929498 | − | 0.467290i | ||||
\(346\) | 3.49051 | + | 5.91727i | 0.187651 | + | 0.318115i | ||||
\(347\) | −16.3642 | + | 12.3153i | −0.878474 | + | 0.661120i | −0.941544 | − | 0.336890i | \(-0.890625\pi\) |
0.0630701 | + | 0.998009i | \(0.479911\pi\) | |||||||
\(348\) | −2.72423 | − | 9.45602i | −0.146034 | − | 0.506896i | ||||
\(349\) | 2.92909 | − | 17.2394i | 0.156791 | − | 0.922804i | −0.792839 | − | 0.609431i | \(-0.791398\pi\) |
0.949630 | − | 0.313373i | \(-0.101459\pi\) | |||||||
\(350\) | −7.31412 | + | 1.45487i | −0.390956 | + | 0.0777660i | ||||
\(351\) | −2.02934 | + | 3.03711i | −0.108318 | + | 0.162109i | ||||
\(352\) | −17.6741 | + | 0.495888i | −0.942033 | + | 0.0264309i | ||||
\(353\) | 8.30133 | − | 0.935335i | 0.441835 | − | 0.0497828i | 0.111755 | − | 0.993736i | \(-0.464353\pi\) |
0.330080 | + | 0.943953i | \(0.392924\pi\) | |||||||
\(354\) | −3.91417 | − | 10.2540i | −0.208036 | − | 0.544996i | ||||
\(355\) | −0.881605 | + | 3.06012i | −0.0467907 | + | 0.162414i | ||||
\(356\) | −24.6095 | − | 11.8513i | −1.30430 | − | 0.628118i | ||||
\(357\) | −0.988638 | − | 7.88672i | −0.0523243 | − | 0.417409i | ||||
\(358\) | −35.9922 | − | 17.3329i | −1.90225 | − | 0.916073i | ||||
\(359\) | −3.48996 | + | 6.31461i | −0.184193 | + | 0.333272i | −0.951310 | − | 0.308235i | \(-0.900262\pi\) |
0.767117 | + | 0.641507i | \(0.221690\pi\) | |||||||
\(360\) | −10.3884 | + | 3.96545i | −0.547515 | + | 0.208998i | ||||
\(361\) | 20.1943 | + | 32.1390i | 1.06286 | + | 1.69152i | ||||
\(362\) | −11.8287 | + | 3.05123i | −0.621700 | + | 0.160369i | ||||
\(363\) | −0.268486 | − | 3.18303i | −0.0140918 | − | 0.167066i | ||||
\(364\) | −4.39693 | + | 8.51109i | −0.230462 | + | 0.446102i | ||||
\(365\) | −38.5996 | + | 2.16770i | −2.02039 | + | 0.113463i | ||||
\(366\) | −9.69523 | + | 0.544473i | −0.506778 | + | 0.0284600i | ||||
\(367\) | −5.28260 | + | 10.2255i | −0.275750 | + | 0.533765i | −0.985288 | − | 0.170902i | \(-0.945332\pi\) |
0.709539 | + | 0.704667i | \(0.248903\pi\) | |||||||
\(368\) | 0.913219 | + | 10.8267i | 0.0476048 | + | 0.564379i | ||||
\(369\) | 24.0486 | − | 6.20340i | 1.25192 | − | 0.322936i | ||||
\(370\) | −2.73180 | − | 4.34764i | −0.142020 | − | 0.226023i | ||||
\(371\) | −29.2788 | + | 11.1763i | −1.52008 | + | 0.580245i | ||||
\(372\) | 3.59536 | − | 6.50532i | 0.186411 | − | 0.337285i | ||||
\(373\) | −20.8519 | − | 10.0417i | −1.07967 | − | 0.519942i | −0.192459 | − | 0.981305i | \(-0.561646\pi\) |
−0.887211 | + | 0.461363i | \(0.847360\pi\) | |||||||
\(374\) | 16.2693 | − | 14.0904i | 0.841264 | − | 0.728598i | ||||
\(375\) | 5.25903 | + | 2.53261i | 0.271575 | + | 0.130784i | ||||
\(376\) | −2.22134 | + | 7.71043i | −0.114557 | + | 0.397635i | ||||
\(377\) | 2.25190 | + | 5.89934i | 0.115979 | + | 0.303832i | ||||
\(378\) | −23.6167 | + | 2.66096i | −1.21471 | + | 0.136865i | ||||
\(379\) | 31.5262 | − | 0.884539i | 1.61939 | − | 0.0454357i | 0.793249 | − | 0.608898i | \(-0.208388\pi\) |
0.826142 | + | 0.563462i | \(0.190531\pi\) | |||||||
\(380\) | 28.7366 | − | 43.0073i | 1.47415 | − | 2.20623i | ||||
\(381\) | 5.65915 | − | 1.12567i | 0.289927 | − | 0.0576701i | ||||
\(382\) | 2.69646 | − | 15.8702i | 0.137963 | − | 0.811992i | ||||
\(383\) | 1.75994 | + | 6.10888i | 0.0899287 | + | 0.312149i | 0.993122 | − | 0.117085i | \(-0.0373549\pi\) |
−0.903193 | + | 0.429234i | \(0.858784\pi\) | |||||||
\(384\) | −6.08728 | + | 4.58115i | −0.310640 | + | 0.233781i | ||||
\(385\) | −9.55819 | − | 16.2035i | −0.487130 | − | 0.825806i | ||||
\(386\) | 11.6241 | − | 58.4383i | 0.591651 | − | 2.97443i | ||||
\(387\) | 5.05388 | − | 16.5378i | 0.256903 | − | 0.840666i | ||||
\(388\) | 39.5836 | − | 26.4489i | 2.00955 | − | 1.34274i | ||||
\(389\) | 0.753005 | − | 13.4085i | 0.0381789 | − | 0.679838i | −0.919692 | − | 0.392640i | \(-0.871562\pi\) |
0.957871 | − | 0.287198i | \(-0.0927238\pi\) | |||||||
\(390\) | −3.14444 | + | 1.51428i | −0.159225 | + | 0.0766787i | ||||
\(391\) | −17.1185 | − | 17.6592i | −0.865720 | − | 0.893064i | ||||
\(392\) | −5.41060 | + | 1.23493i | −0.273277 | + | 0.0623736i | ||||
\(393\) | −4.43394 | − | 10.7045i | −0.223662 | − | 0.539969i | ||||
\(394\) | −2.64956 | + | 1.77038i | −0.133483 | + | 0.0891905i | ||||
\(395\) | −4.63211 | + | 7.37196i | −0.233067 | + | 0.370924i | ||||
\(396\) | −11.3013 | − | 13.3834i | −0.567909 | − | 0.672540i | ||||
\(397\) | 10.5746 | + | 11.1851i | 0.530722 | + | 0.561363i | 0.935624 | − | 0.352997i | \(-0.114837\pi\) |
−0.404903 | + | 0.914360i | \(0.632695\pi\) | |||||||
\(398\) | −1.27153 | − | 0.656887i | −0.0637360 | − | 0.0329268i | ||||
\(399\) | 10.8483 | − | 9.69462i | 0.543093 | − | 0.485338i | ||||
\(400\) | 1.91339 | + | 0.325097i | 0.0956693 | + | 0.0162549i | ||||
\(401\) | 27.6068 | + | 7.12125i | 1.37862 | + | 0.355618i | 0.864729 | − | 0.502238i | \(-0.167490\pi\) |
0.513889 | + | 0.857857i | \(0.328204\pi\) | |||||||
\(402\) | 0.808236 | + | 9.58204i | 0.0403111 | + | 0.477909i | ||||
\(403\) | −1.94805 | + | 4.35347i | −0.0970395 | + | 0.216862i | ||||
\(404\) | 47.2338 | − | 29.6790i | 2.34997 | − | 1.47658i | ||||
\(405\) | 12.4430 | + | 7.33996i | 0.618300 | + | 0.364726i | ||||
\(406\) | −19.8737 | + | 35.9587i | −0.986314 | + | 1.78460i | ||||
\(407\) | 1.41871 | − | 1.77901i | 0.0703229 | − | 0.0881822i | ||||
\(408\) | 1.01054 | − | 4.13042i | 0.0500292 | − | 0.204486i | ||||
\(409\) | −0.0141551 | − | 0.0293934i | −0.000699924 | − | 0.00145341i | 0.900619 | − | 0.434610i | \(-0.143114\pi\) |
−0.901319 | + | 0.433157i | \(0.857400\pi\) | |||||||
\(410\) | 48.7427 | + | 14.0425i | 2.40723 | + | 0.693512i | ||||
\(411\) | −0.142781 | + | 0.447971i | −0.00704288 | + | 0.0220968i | ||||
\(412\) | −3.70503 | + | 10.5884i | −0.182534 | + | 0.521651i | ||||
\(413\) | −10.8901 | + | 24.3369i | −0.535865 | + | 1.19754i | ||||
\(414\) | −24.9989 | + | 23.6344i | −1.22863 | + | 1.16156i | ||||
\(415\) | −28.3699 | − | 23.9563i | −1.39262 | − | 1.17597i | ||||
\(416\) | 5.94143 | − | 5.30958i | 0.291302 | − | 0.260324i | ||||
\(417\) | −0.582975 | + | 3.43114i | −0.0285484 | + | 0.168024i | ||||
\(418\) | 38.1468 | + | 9.84006i | 1.86582 | + | 0.481293i | ||||
\(419\) | −7.58082 | − | 23.7846i | −0.370347 | − | 1.16195i | −0.940321 | − | 0.340289i | \(-0.889475\pi\) |
0.569973 | − | 0.821663i | \(-0.306953\pi\) | |||||||
\(420\) | −12.0600 | − | 5.39652i | −0.588469 | − | 0.263323i | ||||
\(421\) | −2.77981 | − | 24.6715i | −0.135480 | − | 1.20241i | −0.858950 | − | 0.512059i | \(-0.828883\pi\) |
0.723470 | − | 0.690355i | \(-0.242546\pi\) | |||||||
\(422\) | 3.24679 | + | 3.06957i | 0.158051 | + | 0.149424i | ||||
\(423\) | 11.4188 | − | 4.72983i | 0.555202 | − | 0.229972i | ||||
\(424\) | −16.7659 | −0.814223 | ||||||||
\(425\) | −3.81820 | + | 2.17301i | −0.185210 | + | 0.105407i | ||||
\(426\) | −1.33183 | + | 1.06210i | −0.0645274 | + | 0.0514589i | ||||
\(427\) | 17.5889 | + | 15.7184i | 0.851185 | + | 0.760666i | ||||
\(428\) | −1.08075 | − | 7.65534i | −0.0522402 | − | 0.370035i | ||||
\(429\) | −1.09363 | − | 1.09363i | −0.0528011 | − | 0.0528011i | ||||
\(430\) | 26.0520 | − | 23.8483i | 1.25634 | − | 1.15007i | ||||
\(431\) | 6.01141 | − | 8.99671i | 0.289559 | − | 0.433356i | −0.657961 | − | 0.753052i | \(-0.728581\pi\) |
0.947520 | + | 0.319696i | \(0.103581\pi\) | |||||||
\(432\) | 5.98914 | + | 1.54492i | 0.288153 | + | 0.0743298i | ||||
\(433\) | 1.56136 | + | 27.8026i | 0.0750341 | + | 1.33611i | 0.779515 | + | 0.626383i | \(0.215465\pi\) |
−0.704481 | + | 0.709723i | \(0.748820\pi\) | |||||||
\(434\) | −29.8194 | + | 8.59081i | −1.43138 | + | 0.412372i | ||||
\(435\) | −7.94941 | + | 3.55713i | −0.381145 | + | 0.170552i | ||||
\(436\) | −2.13408 | − | 1.42595i | −0.102204 | − | 0.0682904i | ||||
\(437\) | 8.78259 | − | 44.1531i | 0.420128 | − | 2.11213i | ||||
\(438\) | −17.5102 | − | 11.0024i | −0.836671 | − | 0.525715i | ||||
\(439\) | −1.57032 | + | 18.6169i | −0.0749471 | + | 0.888535i | 0.854469 | + | 0.519502i | \(0.173883\pi\) |
−0.929416 | + | 0.369033i | \(0.879689\pi\) | |||||||
\(440\) | −1.68583 | − | 9.92210i | −0.0803689 | − | 0.473017i | ||||
\(441\) | 6.68343 | + | 5.32986i | 0.318258 | + | 0.253803i | ||||
\(442\) | −1.50503 | + | 9.58203i | −0.0715870 | + | 0.455771i | ||||
\(443\) | −1.71159 | − | 7.49896i | −0.0813200 | − | 0.356286i | 0.917854 | − | 0.396918i | \(-0.129920\pi\) |
−0.999174 | + | 0.0406315i | \(0.987063\pi\) | |||||||
\(444\) | 0.0896050 | − | 1.59556i | 0.00425246 | − | 0.0757221i | ||||
\(445\) | −7.34090 | + | 23.0318i | −0.347992 | + | 1.09181i | ||||
\(446\) | 12.6969 | + | 20.2070i | 0.601217 | + | 0.956832i | ||||
\(447\) | 6.64833 | + | 2.97493i | 0.314455 | + | 0.140710i | ||||
\(448\) | 39.7919 | + | 5.61768i | 1.87999 | + | 0.265410i | ||||
\(449\) | −10.4593 | − | 8.83206i | −0.493603 | − | 0.416811i | 0.363783 | − | 0.931484i | \(-0.381485\pi\) |
−0.857387 | + | 0.514673i | \(0.827913\pi\) | |||||||
\(450\) | 2.97255 | + | 5.37843i | 0.140128 | + | 0.253542i | ||||
\(451\) | 1.26041 | + | 22.4436i | 0.0593503 | + | 1.05683i | ||||
\(452\) | 20.0219 | + | 26.6045i | 0.941751 | + | 1.25137i | ||||
\(453\) | −1.38160 | + | 0.440354i | −0.0649131 | + | 0.0206897i | ||||
\(454\) | 12.9128 | + | 24.9952i | 0.606028 | + | 1.17308i | ||||
\(455\) | 8.00235 | + | 2.80014i | 0.375156 | + | 0.131273i | ||||
\(456\) | 7.27158 | − | 2.77571i | 0.340523 | − | 0.129984i | ||||
\(457\) | 13.1468 | − | 2.23373i | 0.614980 | − | 0.104489i | 0.148340 | − | 0.988936i | \(-0.452607\pi\) |
0.466640 | + | 0.884447i | \(0.345464\pi\) | |||||||
\(458\) | 13.8638 | + | 17.3847i | 0.647813 | + | 0.812331i | ||||
\(459\) | −12.7073 | + | 5.87796i | −0.593127 | + | 0.274360i | ||||
\(460\) | −39.8574 | + | 9.09720i | −1.85836 | + | 0.424159i | ||||
\(461\) | −1.47109 | + | 26.1953i | −0.0685157 | + | 1.22003i | 0.756144 | + | 0.654405i | \(0.227081\pi\) |
−0.824660 | + | 0.565629i | \(0.808633\pi\) | |||||||
\(462\) | 0.845807 | − | 10.0275i | 0.0393505 | − | 0.466520i | ||||
\(463\) | −19.2631 | + | 12.1038i | −0.895234 | + | 0.562513i | −0.899229 | − | 0.437479i | \(-0.855871\pi\) |
0.00399441 | + | 0.999992i | \(0.498729\pi\) | |||||||
\(464\) | 8.16947 | − | 6.89850i | 0.379258 | − | 0.320255i | ||||
\(465\) | −6.14550 | − | 2.34586i | −0.284991 | − | 0.108787i | ||||
\(466\) | 2.45944 | + | 12.3644i | 0.113931 | + | 0.572772i | ||||
\(467\) | −5.70083 | + | 13.7630i | −0.263803 | + | 0.636876i | −0.999168 | − | 0.0407952i | \(-0.987011\pi\) |
0.735365 | + | 0.677672i | \(0.237011\pi\) | |||||||
\(468\) | 7.78257 | + | 1.32231i | 0.359749 | + | 0.0611239i | ||||
\(469\) | 15.0709 | − | 17.8475i | 0.695909 | − | 0.824122i | ||||
\(470\) | 24.9957 | + | 3.52881i | 1.15297 | + | 0.162772i | ||||
\(471\) | 1.28733 | + | 0.968818i | 0.0593172 | + | 0.0446408i | ||||
\(472\) | −10.0860 | + | 10.0860i | −0.464246 | + | 0.464246i | ||||
\(473\) | 13.7885 | + | 7.40659i | 0.633994 | + | 0.340556i | ||||
\(474\) | −4.30269 | + | 1.78223i | −0.197629 | + | 0.0818607i | ||||
\(475\) | −7.24510 | − | 3.48906i | −0.332428 | − | 0.160089i | ||||
\(476\) | −31.3912 | + | 19.0503i | −1.43881 | + | 0.873168i | ||||
\(477\) | 16.1016 | + | 20.1907i | 0.737241 | + | 0.924471i | ||||
\(478\) | −16.2120 | − | 22.8487i | −0.741521 | − | 1.04508i | ||||
\(479\) | 4.20456 | + | 6.29256i | 0.192111 | + | 0.287515i | 0.915003 | − | 0.403446i | \(-0.132188\pi\) |
−0.722892 | + | 0.690961i | \(0.757188\pi\) | |||||||
\(480\) | 7.77090 | + | 7.77090i | 0.354692 | + | 0.354692i | ||||
\(481\) | 0.0287602 | + | 1.02505i | 0.00131135 | + | 0.0467383i | ||||
\(482\) | −12.0663 | − | 37.8576i | −0.549605 | − | 1.72437i | ||||
\(483\) | −11.4948 | − | 0.322512i | −0.523030 | − | 0.0146748i | ||||
\(484\) | −12.9156 | + | 7.13819i | −0.587072 | + | 0.324463i | ||||
\(485\) | −28.0746 | − | 31.4155i | −1.27480 | − | 1.42651i | ||||
\(486\) | 12.2561 | + | 27.3897i | 0.555947 | + | 1.24242i | ||||
\(487\) | 2.12391 | + | 3.60055i | 0.0962436 | + | 0.163157i | 0.905562 | − | 0.424213i | \(-0.139449\pi\) |
−0.809319 | + | 0.587370i | \(0.800164\pi\) | |||||||
\(488\) | 5.79214 | + | 11.2118i | 0.262198 | + | 0.507533i | ||||
\(489\) | −5.03580 | + | 3.16421i | −0.227727 | + | 0.143090i | ||||
\(490\) | 6.22643 | + | 16.3115i | 0.281281 | + | 0.736879i | ||||
\(491\) | −9.02948 | − | 8.06924i | −0.407495 | − | 0.364160i | 0.437240 | − | 0.899345i | \(-0.355956\pi\) |
−0.844735 | + | 0.535185i | \(0.820242\pi\) | |||||||
\(492\) | 9.84327 | + | 12.3431i | 0.443769 | + | 0.556469i | ||||
\(493\) | −4.42472 | + | 23.7959i | −0.199279 | + | 1.07171i | ||||
\(494\) | −15.9959 | + | 7.70321i | −0.719688 | + | 0.346584i | ||||
\(495\) | −10.3299 | + | 11.5592i | −0.464295 | + | 0.519546i | ||||
\(496\) | 8.04761 | + | 0.678808i | 0.361349 | + | 0.0304794i | ||||
\(497\) | 4.11208 | + | 0.463320i | 0.184452 | + | 0.0207828i | ||||
\(498\) | −4.96111 | − | 19.2326i | −0.222313 | − | 0.861835i | ||||
\(499\) | 7.08366 | − | 6.69702i | 0.317108 | − | 0.299800i | −0.511890 | − | 0.859051i | \(-0.671054\pi\) |
0.828998 | + | 0.559252i | \(0.188911\pi\) | |||||||
\(500\) | 0.756285 | − | 26.9550i | 0.0338221 | − | 1.20546i | ||||
\(501\) | 11.1204 | − | 3.20373i | 0.496823 | − | 0.143132i | ||||
\(502\) | 33.3589 | + | 37.3286i | 1.48888 | + | 1.66606i | ||||
\(503\) | 27.8325 | − | 12.4542i | 1.24099 | − | 0.555307i | 0.320937 | − | 0.947101i | \(-0.396002\pi\) |
0.920053 | + | 0.391793i | \(0.128145\pi\) | |||||||
\(504\) | 7.34111 | + | 12.4450i | 0.326999 | + | 0.554344i | ||||
\(505\) | −31.8516 | − | 37.7199i | −1.41738 | − | 1.67851i | ||||
\(506\) | −16.5663 | − | 26.3651i | −0.736461 | − | 1.17207i | ||||
\(507\) | −7.10876 | − | 0.599617i | −0.315711 | − | 0.0266299i | ||||
\(508\) | −15.4249 | − | 21.7394i | −0.684371 | − | 0.964531i | ||||
\(509\) | − | 35.5386i | − | 1.57522i | −0.616174 | − | 0.787610i | \(-0.711318\pi\) | ||
0.616174 | − | 0.787610i | \(-0.288682\pi\) | |||||||
\(510\) | −13.3111 | − | 1.33147i | −0.589426 | − | 0.0589584i | ||||
\(511\) | 11.1786 | + | 48.9765i | 0.494511 | + | 2.16659i | ||||
\(512\) | −17.2678 | − | 9.54358i | −0.763136 | − | 0.421771i | ||||
\(513\) | −22.0733 | − | 13.0207i | −0.974558 | − | 0.574877i | ||||
\(514\) | 3.62510 | − | 1.26848i | 0.159896 | − | 0.0559501i | ||||
\(515\) | 9.73709 | + | 1.93683i | 0.429068 | + | 0.0853469i | ||||
\(516\) | 10.9079 | − | 1.36141i | 0.480194 | − | 0.0599327i | ||||
\(517\) | 2.18243 | + | 10.9718i | 0.0959830 | + | 0.482539i | ||||
\(518\) | −4.97498 | + | 4.44591i | −0.218588 | + | 0.195342i | ||||
\(519\) | 1.88933 | − | 0.106103i | 0.0829325 | − | 0.00465739i | ||||
\(520\) | 3.46537 | + | 2.92624i | 0.151967 | + | 0.128324i | ||||
\(521\) | 13.8559 | + | 5.28908i | 0.607038 | + | 0.231719i | 0.640796 | − | 0.767711i | \(-0.278605\pi\) |
−0.0337576 | + | 0.999430i | \(0.510747\pi\) | |||||||
\(522\) | 33.2053 | + | 6.60495i | 1.45336 | + | 0.289091i | ||||
\(523\) | 12.1475 | − | 12.1475i | 0.531172 | − | 0.531172i | −0.389749 | − | 0.920921i | \(-0.627438\pi\) |
0.920921 | + | 0.389749i | \(0.127438\pi\) | |||||||
\(524\) | −36.7722 | + | 38.8952i | −1.60640 | + | 1.69914i | ||||
\(525\) | −0.568645 | + | 1.97381i | −0.0248177 | + | 0.0861441i | ||||
\(526\) | 22.2758 | + | 5.08430i | 0.971271 | + | 0.221686i | ||||
\(527\) | −15.0723 | + | 10.3459i | −0.656559 | + | 0.450675i | ||||
\(528\) | −1.13631 | + | 2.35958i | −0.0494517 | + | 0.102688i | ||||
\(529\) | −10.2612 | + | 7.28072i | −0.446140 | + | 0.316553i | ||||
\(530\) | 7.37330 | + | 52.2275i | 0.320276 | + | 2.26862i | ||||
\(531\) | 21.8327 | + | 2.45995i | 0.947458 | + | 0.106753i | ||||
\(532\) | −61.3497 | − | 27.4522i | −2.65985 | − | 1.19021i | ||||
\(533\) | −6.95959 | − | 7.36140i | −0.301453 | − | 0.318858i | ||||
\(534\) | −10.3317 | + | 7.77544i | −0.447099 | + | 0.336476i | ||||
\(535\) | −6.57477 | + | 1.89416i | −0.284252 | + | 0.0818917i | ||||
\(536\) | 10.9375 | − | 6.04494i | 0.472428 | − | 0.261102i | ||||
\(537\) | −8.79189 | + | 6.61657i | −0.379398 | + | 0.285526i | ||||
\(538\) | 8.92241 | − | 63.2004i | 0.384673 | − | 2.72476i | ||||
\(539\) | −5.91152 | + | 4.99183i | −0.254627 | + | 0.215013i | ||||
\(540\) | −2.60577 | + | 23.1268i | −0.112134 | + | 0.995221i | ||||
\(541\) | 16.6384 | − | 28.2061i | 0.715339 | − | 1.21268i | −0.254061 | − | 0.967188i | \(-0.581766\pi\) |
0.969400 | − | 0.245487i | \(-0.0789479\pi\) | |||||||
\(542\) | −51.1852 | + | 8.69671i | −2.19859 | + | 0.373556i | ||||
\(543\) | −0.748731 | + | 3.28041i | −0.0321311 | + | 0.140776i | ||||
\(544\) | 30.0445 | − | 5.49215i | 1.28815 | − | 0.235474i | ||||
\(545\) | −0.985558 | + | 2.04653i | −0.0422167 | + | 0.0876638i | ||||
\(546\) | 2.62431 | + | 3.69862i | 0.112310 | + | 0.158286i | ||||
\(547\) | −3.09816 | − | 21.9453i | −0.132468 | − | 0.938314i | −0.938215 | − | 0.346054i | \(-0.887521\pi\) |
0.805747 | − | 0.592260i | \(-0.201764\pi\) | |||||||
\(548\) | 2.15841 | − | 0.243195i | 0.0922029 | − | 0.0103888i | ||||
\(549\) | 7.93942 | − | 17.7429i | 0.338846 | − | 0.757247i | ||||
\(550\) | −5.29939 | + | 1.68907i | −0.225967 | + | 0.0720220i | ||||
\(551\) | −40.4389 | + | 18.0953i | −1.72276 | + | 0.770884i | ||||
\(552\) | −5.68359 | − | 2.35422i | −0.241910 | − | 0.100202i | ||||
\(553\) | 10.4522 | + | 4.32942i | 0.444471 | + | 0.184106i | ||||
\(554\) | −0.518768 | − | 1.15933i | −0.0220403 | − | 0.0492553i | ||||
\(555\) | −1.40930 | + | 0.118873i | −0.0598215 | + | 0.00504588i | ||||
\(556\) | 15.5684 | − | 4.01592i | 0.660249 | − | 0.170313i | ||||
\(557\) | −12.3741 | − | 35.3632i | −0.524309 | − | 1.49839i | −0.836283 | − | 0.548298i | \(-0.815276\pi\) |
0.311974 | − | 0.950091i | \(-0.399010\pi\) | |||||||
\(558\) | 14.2069 | + | 21.2622i | 0.601427 | + | 0.900099i | ||||
\(559\) | −6.90119 | + | 1.45880i | −0.291889 | + | 0.0617007i | ||||
\(560\) | − | 14.3561i | − | 0.606658i | ||||||
\(561\) | −1.39134 | − | 5.76271i | −0.0587422 | − | 0.243302i | ||||
\(562\) | 19.8963 | + | 41.3151i | 0.839274 | + | 1.74277i | ||||
\(563\) | −6.48066 | + | 11.7259i | −0.273127 | + | 0.494187i | −0.976183 | − | 0.216948i | \(-0.930390\pi\) |
0.703056 | + | 0.711135i | \(0.251818\pi\) | |||||||
\(564\) | 5.70911 | + | 5.39749i | 0.240397 | + | 0.227275i | ||||
\(565\) | 20.8368 | − | 20.8368i | 0.876613 | − | 0.876613i | ||||
\(566\) | 20.9031 | + | 4.15788i | 0.878621 | + | 0.174769i | ||||
\(567\) | 6.69456 | − | 17.5379i | 0.281145 | − | 0.736522i | ||||
\(568\) | 1.96683 | + | 1.01609i | 0.0825266 | + | 0.0426342i | ||||
\(569\) | 9.29641 | − | 13.1021i | 0.389726 | − | 0.549267i | −0.573067 | − | 0.819509i | \(-0.694246\pi\) |
0.962793 | + | 0.270242i | \(0.0871035\pi\) | |||||||
\(570\) | −11.8445 | − | 21.4311i | −0.496113 | − | 0.897648i | ||||
\(571\) | −10.4994 | + | 40.7028i | −0.439386 | + | 1.70336i | 0.241019 | + | 0.970520i | \(0.422518\pi\) |
−0.680404 | + | 0.732837i | \(0.738196\pi\) | |||||||
\(572\) | −2.54806 | + | 6.67520i | −0.106540 | + | 0.279104i | ||||
\(573\) | −3.54280 | − | 2.66623i | −0.148003 | − | 0.111384i | ||||
\(574\) | 7.37995 | − | 65.4988i | 0.308033 | − | 2.73387i | ||||
\(575\) | 2.26664 | + | 5.93797i | 0.0945256 | + | 0.247631i | ||||
\(576\) | −5.54701 | − | 32.6474i | −0.231126 | − | 1.36031i | ||||
\(577\) | −40.0646 | + | 19.2941i | −1.66791 | + | 0.803223i | −0.669749 | + | 0.742587i | \(0.733598\pi\) |
−0.998160 | + | 0.0606352i | \(0.980687\pi\) | |||||||
\(578\) | −24.0728 | + | 28.3327i | −1.00130 | + | 1.17849i | ||||
\(579\) | −12.8312 | − | 10.2326i | −0.533248 | − | 0.425251i | ||||
\(580\) | 29.9994 | + | 26.8091i | 1.24566 | + | 1.11319i | ||||
\(581\) | −24.5144 | + | 41.5579i | −1.01703 | + | 1.72411i | ||||
\(582\) | −2.52335 | − | 22.3954i | −0.104596 | − | 0.928318i | ||||
\(583\) | −20.7668 | + | 10.7284i | −0.860071 | + | 0.444323i | ||||
\(584\) | −3.75689 | + | 26.6113i | −0.155461 | + | 1.10118i | ||||
\(585\) | 0.195940 | − | 6.98356i | 0.00810112 | − | 0.288735i | ||||
\(586\) | 34.0957 | + | 24.1922i | 1.40848 | + | 0.999370i | ||||
\(587\) | −10.7630 | − | 37.3592i | −0.444237 | − | 1.54198i | −0.795648 | − | 0.605759i | \(-0.792870\pi\) |
0.351412 | − | 0.936221i | \(-0.385702\pi\) | |||||||
\(588\) | −1.35728 | + | 5.26174i | −0.0559733 | + | 0.216990i | ||||
\(589\) | −31.2624 | − | 11.9335i | −1.28814 | − | 0.491710i | ||||
\(590\) | 35.8546 | + | 26.9833i | 1.47611 | + | 1.11089i | ||||
\(591\) | 0.0982742 | + | 0.872208i | 0.00404246 | + | 0.0358778i | ||||
\(592\) | 1.62225 | − | 0.619245i | 0.0666740 | − | 0.0254508i | ||||
\(593\) | −20.7175 | − | 5.96860i | −0.850765 | − | 0.245101i | −0.177150 | − | 0.984184i | \(-0.556688\pi\) |
−0.673615 | + | 0.739083i | \(0.735259\pi\) | |||||||
\(594\) | −17.2814 | + | 3.94436i | −0.709064 | + | 0.161839i | ||||
\(595\) | 20.5776 | + | 25.1517i | 0.843599 | + | 1.03112i | ||||
\(596\) | − | 33.6480i | − | 1.37828i | ||||||
\(597\) | −0.321502 | + | 0.228118i | −0.0131582 | + | 0.00933623i | ||||
\(598\) | 13.3699 | + | 4.26138i | 0.546738 | + | 0.174261i | ||||
\(599\) | −9.46708 | + | 27.0554i | −0.386814 | + | 1.10545i | 0.571714 | + | 0.820453i | \(0.306279\pi\) |
−0.958528 | + | 0.284999i | \(0.908007\pi\) | |||||||
\(600\) | −0.660783 | + | 0.878027i | −0.0269763 | + | 0.0358453i | ||||
\(601\) | −2.21348 | − | 1.47900i | −0.0902896 | − | 0.0603296i | 0.509606 | − | 0.860408i | \(-0.329791\pi\) |
−0.599896 | + | 0.800078i | \(0.704791\pi\) | |||||||
\(602\) | −36.2216 | − | 28.1833i | −1.47628 | − | 1.14866i | ||||
\(603\) | −17.7839 | − | 7.36634i | −0.724217 | − | 0.299980i | ||||
\(604\) | 4.46381 | + | 4.99500i | 0.181630 | + | 0.203244i | ||||
\(605\) | 7.85315 | + | 10.4350i | 0.319276 | + | 0.424243i | ||||
\(606\) | −2.21963 | − | 26.3148i | −0.0901662 | − | 1.06897i | ||||
\(607\) | 42.2906 | − | 1.18656i | 1.71652 | − | 0.0481610i | 0.843884 | − | 0.536526i | \(-0.180264\pi\) |
0.872639 | + | 0.488365i | \(0.162407\pi\) | |||||||
\(608\) | 39.5308 | + | 39.5308i | 1.60319 | + | 1.60319i | ||||
\(609\) | 6.28717 | + | 9.40942i | 0.254769 | + | 0.381289i | ||||
\(610\) | 32.3786 | − | 22.9738i | 1.31097 | − | 0.930184i | ||||
\(611\) | −3.94157 | − | 3.14329i | −0.159459 | − | 0.127164i | ||||
\(612\) | 22.8123 | + | 19.8789i | 0.922131 | + | 0.803555i | ||||
\(613\) | −23.3734 | + | 29.3093i | −0.944041 | + | 1.18379i | 0.0387837 | + | 0.999248i | \(0.487652\pi\) |
−0.982825 | + | 0.184542i | \(0.940920\pi\) | |||||||
\(614\) | 17.0104 | + | 0.955284i | 0.686484 | + | 0.0385521i | ||||
\(615\) | 9.59865 | − | 10.1528i | 0.387055 | − | 0.409401i | ||||
\(616\) | −12.3439 | + | 4.31930i | −0.497348 | + | 0.174030i | ||||
\(617\) | −6.25428 | + | 3.23104i | −0.251788 | + | 0.130077i | −0.580244 | − | 0.814442i | \(-0.697043\pi\) |
0.328457 | + | 0.944519i | \(0.393472\pi\) | |||||||
\(618\) | 3.64833 | + | 3.85896i | 0.146757 | + | 0.155230i | ||||
\(619\) | 43.3513 | + | 1.21632i | 1.74244 | + | 0.0488881i | 0.884969 | − | 0.465650i | \(-0.154179\pi\) |
0.857468 | + | 0.514538i | \(0.172037\pi\) | |||||||
\(620\) | 1.70390 | + | 30.3407i | 0.0684301 | + | 1.21851i | ||||
\(621\) | 5.60749 | + | 19.4640i | 0.225021 | + | 0.781064i | ||||
\(622\) | −45.0614 | − | 23.2793i | −1.80680 | − | 0.933415i | ||||
\(623\) | 31.1029 | + | 4.39101i | 1.24611 | + | 0.175922i | ||||
\(624\) | −0.294801 | − | 1.14285i | −0.0118015 | − | 0.0457505i | ||||
\(625\) | −29.0087 | + | 3.26850i | −1.16035 | + | 0.130740i | ||||
\(626\) | −55.6272 | − | 17.7300i | −2.22331 | − | 0.708633i | ||||
\(627\) | 7.23066 | − | 8.09111i | 0.288765 | − | 0.323128i | ||||
\(628\) | 1.65624 | − | 7.25648i | 0.0660913 | − | 0.289565i | ||||
\(629\) | −1.95455 | + | 3.41018i | −0.0779331 | + | 0.135973i | ||||
\(630\) | 35.5390 | − | 28.3414i | 1.41591 | − | 1.12915i | ||||
\(631\) | 21.5982 | + | 1.21293i | 0.859811 | + | 0.0482859i | 0.480512 | − | 0.876988i | \(-0.340451\pi\) |
0.379299 | + | 0.925274i | \(0.376165\pi\) | |||||||
\(632\) | 4.39802 | + | 4.15797i | 0.174944 | + | 0.165395i | ||||
\(633\) | 1.16164 | − | 0.406476i | 0.0461712 | − | 0.0161560i | ||||
\(634\) | 18.6284 | − | 15.7303i | 0.739829 | − | 0.624730i | ||||
\(635\) | −17.1423 | + | 16.2066i | −0.680270 | + | 0.643139i | ||||
\(636\) | −7.53471 | + | 14.5848i | −0.298771 | + | 0.578327i | ||||
\(637\) | 0.584073 | − | 3.43761i | 0.0231418 | − | 0.136203i | ||||
\(638\) | −11.7266 | + | 28.3105i | −0.464261 | + | 1.12082i | ||||
\(639\) | −0.665251 | − | 3.34444i | −0.0263169 | − | 0.132304i | ||||
\(640\) | 11.1080 | − | 29.1000i | 0.439084 | − | 1.15028i | ||||
\(641\) | −4.00297 | + | 2.06798i | −0.158108 | + | 0.0816803i | −0.536215 | − | 0.844081i | \(-0.680146\pi\) |
0.378107 | + | 0.925762i | \(0.376575\pi\) | |||||||
\(642\) | −3.45459 | − | 1.20881i | −0.136342 | − | 0.0477081i | ||||
\(643\) | 11.5841 | − | 1.63541i | 0.456834 | − | 0.0644943i | 0.0923970 | − | 0.995722i | \(-0.470547\pi\) |
0.364437 | + | 0.931228i | \(0.381261\pi\) | |||||||
\(644\) | 20.3295 | + | 49.0796i | 0.801093 | + | 1.93401i | ||||
\(645\) | −2.54249 | − | 9.39032i | −0.100111 | − | 0.369743i | ||||
\(646\) | −67.7140 | − | 6.77322i | −2.66417 | − | 0.266489i | ||||
\(647\) | −8.91930 | + | 18.5211i | −0.350654 | + | 0.728140i | −0.999462 | − | 0.0328121i | \(-0.989554\pi\) |
0.648808 | + | 0.760952i | \(0.275268\pi\) | |||||||
\(648\) | 6.69192 | − | 7.48826i | 0.262883 | − | 0.294167i | ||||
\(649\) | −6.03888 | + | 18.9468i | −0.237047 | + | 0.743726i | ||||
\(650\) | 1.33360 | − | 2.12241i | 0.0523080 | − | 0.0832477i | ||||
\(651\) | −1.66755 | + | 8.38335i | −0.0653565 | + | 0.328569i | ||||
\(652\) | 22.8448 | + | 15.2644i | 0.894672 | + | 0.597801i | ||||
\(653\) | −0.298152 | − | 0.666304i | −0.0116676 | − | 0.0260745i | 0.906856 | − | 0.421440i | \(-0.138475\pi\) |
−0.918524 | + | 0.395365i | \(0.870618\pi\) | |||||||
\(654\) | −1.06344 | + | 0.587740i | −0.0415836 | + | 0.0229825i | ||||
\(655\) | 38.6336 | + | 27.4120i | 1.50954 | + | 1.07108i | ||||
\(656\) | −7.87341 | + | 15.2405i | −0.307405 | + | 0.595040i | ||||
\(657\) | 35.6554 | − | 21.0326i | 1.39105 | − | 0.820558i | ||||
\(658\) | −0.919972 | − | 32.7891i | −0.0358643 | − | 1.27825i | ||||
\(659\) | 10.2243 | + | 29.2193i | 0.398281 | + | 1.13822i | 0.952153 | + | 0.305621i | \(0.0988639\pi\) |
−0.553872 | + | 0.832602i | \(0.686850\pi\) | |||||||
\(660\) | −9.38898 | − | 2.99254i | −0.365465 | − | 0.116484i | ||||
\(661\) | −4.70732 | − | 27.7053i | −0.183093 | − | 1.07761i | −0.917156 | − | 0.398529i | \(-0.869521\pi\) |
0.734063 | − | 0.679082i | \(-0.237622\pi\) | |||||||
\(662\) | −36.3931 | − | 8.30649i | −1.41446 | − | 0.322841i | ||||
\(663\) | 2.15461 | + | 1.57970i | 0.0836779 | + | 0.0613503i | ||||
\(664\) | −20.1810 | + | 16.0938i | −0.783173 | + | 0.624560i | ||||
\(665\) | −16.4669 | + | 57.1579i | −0.638559 | + | 2.21649i | ||||
\(666\) | 4.73555 | + | 2.79343i | 0.183499 | + | 0.108243i | ||||
\(667\) | 33.0515 | + | 11.5652i | 1.27976 | + | 0.447807i | ||||
\(668\) | −34.4925 | − | 40.8473i | −1.33455 | − | 1.58043i | ||||
\(669\) | 6.55017 | − | 0.552500i | 0.253244 | − | 0.0213609i | ||||
\(670\) | −23.6407 | − | 31.4130i | −0.913321 | − | 1.21359i | ||||
\(671\) | 14.3487 | + | 10.1809i | 0.553924 | + | 0.393030i | ||||
\(672\) | 8.26357 | − | 11.6464i | 0.318774 | − | 0.449270i | ||||
\(673\) | 6.88805 | − | 8.15710i | 0.265515 | − | 0.314433i | −0.614930 | − | 0.788582i | \(-0.710816\pi\) |
0.880445 | + | 0.474149i | \(0.157244\pi\) | |||||||
\(674\) | 21.5346 | − | 12.7029i | 0.829481 | − | 0.489299i | ||||
\(675\) | 3.61679 | − | 0.101477i | 0.139210 | − | 0.00390587i | ||||
\(676\) | 10.8850 | + | 31.1076i | 0.418654 | + | 1.19644i | ||||
\(677\) | 10.9897 | + | 0.926971i | 0.422369 | + | 0.0356264i | 0.293326 | − | 0.956013i | \(-0.405238\pi\) |
0.129043 | + | 0.991639i | \(0.458809\pi\) | |||||||
\(678\) | 15.5400 | − | 2.64035i | 0.596810 | − | 0.101402i | ||||
\(679\) | −34.1344 | + | 42.8032i | −1.30996 | + | 1.64264i | ||||
\(680\) | 5.48616 | + | 16.4968i | 0.210385 | + | 0.632623i | ||||
\(681\) | 7.74919 | 0.296950 | ||||||||
\(682\) | −21.3833 | + | 8.85726i | −0.818809 | + | 0.339162i | ||||
\(683\) | −1.96553 | + | 2.07901i | −0.0752090 | + | 0.0795511i | −0.763175 | − | 0.646191i | \(-0.776361\pi\) |
0.687966 | + | 0.725743i | \(0.258504\pi\) | |||||||
\(684\) | −6.20118 | + | 55.0370i | −0.237108 | + | 2.10439i | ||||
\(685\) | −0.480143 | − | 1.86136i | −0.0183453 | − | 0.0711189i | ||||
\(686\) | −22.6566 | + | 13.3648i | −0.865033 | + | 0.510270i | ||||
\(687\) | 6.00701 | − | 1.19487i | 0.229182 | − | 0.0455871i | ||||
\(688\) | 6.19120 | + | 10.2143i | 0.236037 | + | 0.389416i | ||||
\(689\) | 4.03115 | − | 9.73206i | 0.153575 | − | 0.370762i | ||||
\(690\) | −4.83412 | + | 18.7403i | −0.184032 | + | 0.713432i | ||||
\(691\) | 0.137713 | − | 0.975470i | 0.00523887 | − | 0.0371086i | −0.987388 | − | 0.158320i | \(-0.949392\pi\) |
0.992627 | + | 0.121211i | \(0.0386779\pi\) | |||||||
\(692\) | −4.01238 | − | 7.76672i | −0.152528 | − | 0.295246i | ||||
\(693\) | 17.0564 | + | 10.7172i | 0.647919 | + | 0.407114i | ||||
\(694\) | 37.2418 | − | 24.8842i | 1.41368 | − | 0.944591i | ||||
\(695\) | −5.44525 | − | 13.1460i | −0.206550 | − | 0.498656i | ||||
\(696\) | 1.34717 | + | 5.90235i | 0.0510645 | + | 0.223728i | ||||
\(697\) | −8.05105 | − | 37.9865i | −0.304955 | − | 1.43884i | ||||
\(698\) | −8.50974 | + | 37.2836i | −0.322098 | + | 1.41120i | ||||
\(699\) | 3.33671 | + | 0.961289i | 0.126206 | + | 0.0363593i | ||||
\(700\) | 9.39612 | − | 1.32651i | 0.355140 | − | 0.0501374i | ||||
\(701\) | −34.1178 | − | 21.4376i | −1.28861 | − | 0.809689i | −0.299112 | − | 0.954218i | \(-0.596690\pi\) |
−0.989501 | + | 0.144529i | \(0.953833\pi\) | |||||||
\(702\) | 4.80354 | − | 6.38279i | 0.181298 | − | 0.240903i | ||||
\(703\) | −7.16916 | + | 0.604711i | −0.270390 | + | 0.0228071i | ||||
\(704\) | 29.9610 | + | 0.840624i | 1.12920 | + | 0.0316822i | ||||
\(705\) | 4.02359 | − | 5.67072i | 0.151537 | − | 0.213572i | ||||
\(706\) | −18.2409 | + | 1.02439i | −0.686505 | + | 0.0385533i | ||||
\(707\) | −41.3886 | + | 49.0140i | −1.55658 | + | 1.84336i | ||||
\(708\) | 4.24121 | + | 13.3066i | 0.159394 | + | 0.500094i | ||||
\(709\) | −29.4219 | + | 7.58947i | −1.10496 | + | 0.285028i | −0.757611 | − | 0.652706i | \(-0.773634\pi\) |
−0.347353 | + | 0.937734i | \(0.612919\pi\) | |||||||
\(710\) | 2.30026 | − | 6.57376i | 0.0863271 | − | 0.246709i | ||||
\(711\) | 0.783573 | − | 9.28965i | 0.0293863 | − | 0.348389i | ||||
\(712\) | 14.7076 | + | 8.12860i | 0.551190 | + | 0.304632i | ||||
\(713\) | 11.4755 | + | 23.8292i | 0.429763 | + | 0.892411i | ||||
\(714\) | 1.19162 | + | 17.3421i | 0.0445951 | + | 0.649013i | ||||
\(715\) | 6.16480 | + | 1.40708i | 0.230550 | + | 0.0526216i | ||||
\(716\) | 44.4901 | + | 24.5888i | 1.66267 | + | 0.918926i | ||||
\(717\) | −7.64102 | + | 1.07873i | −0.285359 | + | 0.0402860i | ||||
\(718\) | 8.39476 | − | 13.3602i | 0.313290 | − | 0.498598i | ||||
\(719\) | 2.41195 | − | 3.20492i | 0.0899506 | − | 0.119523i | −0.751797 | − | 0.659394i | \(-0.770813\pi\) |
0.841748 | + | 0.539871i | \(0.181527\pi\) | |||||||
\(720\) | −11.2714 | + | 3.59251i | −0.420059 | + | 0.133885i | ||||
\(721\) | 0.361809 | − | 12.8954i | 0.0134745 | − | 0.480248i | ||||
\(722\) | −40.1538 | − | 72.6527i | −1.49437 | − | 2.70386i | ||||
\(723\) | −10.7898 | − | 1.83326i | −0.401278 | − | 0.0681798i | ||||
\(724\) | 15.2456 | − | 3.03253i | 0.566597 | − | 0.112703i | ||||
\(725\) | 3.47504 | − | 5.20076i | 0.129060 | − | 0.193152i | ||||
\(726\) | 0.195929 | + | 6.98317i | 0.00727161 | + | 0.259170i | ||||
\(727\) | −49.6075 | − | 5.58942i | −1.83984 | − | 0.207300i | −0.877579 | − | 0.479432i | \(-0.840843\pi\) |
−0.962260 | + | 0.272132i | \(0.912271\pi\) | |||||||
\(728\) | 2.99442 | − | 5.07627i | 0.110980 | − | 0.188139i | ||||
\(729\) | −9.31775 | − | 0.523274i | −0.345102 | − | 0.0193805i | ||||
\(730\) | 84.5492 | 3.12930 | ||||||||
\(731\) | −25.4877 | − | 9.02100i | −0.942696 | − | 0.333654i | ||||
\(732\) | 12.3563 | 0.456701 | ||||||||
\(733\) | 14.8222 | + | 0.832396i | 0.547470 | + | 0.0307452i | 0.327657 | − | 0.944797i | \(-0.393741\pi\) |
0.219813 | + | 0.975542i | \(0.429455\pi\) | |||||||
\(734\) | 12.7886 | − | 21.6798i | 0.472036 | − | 0.800218i | ||||
\(735\) | 4.77885 | + | 0.538447i | 0.176271 | + | 0.0198609i | ||||
\(736\) | −1.23927 | − | 44.1694i | −0.0456802 | − | 1.62810i | ||||
\(737\) | 9.67942 | − | 14.4863i | 0.356546 | − | 0.533609i | ||||
\(738\) | −53.2716 | + | 10.5964i | −1.96095 | + | 0.390058i | ||||
\(739\) | 18.7348 | + | 3.18317i | 0.689170 | + | 0.117095i | 0.501526 | − | 0.865142i | \(-0.332772\pi\) |
0.187644 | + | 0.982237i | \(0.439915\pi\) | |||||||
\(740\) | 3.16046 | + | 5.71843i | 0.116181 | + | 0.210214i | ||||
\(741\) | −0.137153 | + | 4.88831i | −0.00503843 | + | 0.179577i | ||||
\(742\) | 65.3016 | − | 20.8135i | 2.39730 | − | 0.764088i | ||||
\(743\) | 0.0409638 | − | 0.0544314i | 0.00150282 | − | 0.00199689i | −0.798258 | − | 0.602315i | \(-0.794245\pi\) |
0.799761 | + | 0.600318i | \(0.204959\pi\) | |||||||
\(744\) | −2.43286 | + | 3.87188i | −0.0891930 | + | 0.141950i | ||||
\(745\) | −29.4862 | + | 4.16276i | −1.08029 | + | 0.152512i | ||||
\(746\) | 44.2994 | + | 24.4834i | 1.62192 | + | 0.896401i | ||||
\(747\) | 38.7627 | + | 8.84733i | 1.41825 | + | 0.323707i | ||||
\(748\) | −21.6748 | + | 16.7406i | −0.792510 | + | 0.612096i | ||||
\(749\) | 3.85760 | + | 8.01039i | 0.140954 | + | 0.292693i | ||||
\(750\) | −11.1727 | − | 6.17493i | −0.407969 | − | 0.225477i | ||||
\(751\) | −3.72498 | + | 44.1615i | −0.135926 | + | 1.61148i | 0.518315 | + | 0.855190i | \(0.326559\pi\) |
−0.654242 | + | 0.756286i | \(0.727012\pi\) | |||||||
\(752\) | −2.81952 | + | 8.05772i | −0.102817 | + | 0.293835i | ||||
\(753\) | 13.3522 | − | 3.44424i | 0.486582 | − | 0.125515i | ||||
\(754\) | −4.19369 | − | 13.1575i | −0.152725 | − | 0.479169i | ||||
\(755\) | 3.82495 | − | 4.52965i | 0.139204 | − | 0.164851i | ||||
\(756\) | 30.1940 | − | 1.69566i | 1.09815 | − | 0.0616706i | ||||
\(757\) | 1.79390 | − | 2.52827i | 0.0652005 | − | 0.0918915i | −0.781665 | − | 0.623698i | \(-0.785629\pi\) |
0.846866 | + | 0.531807i | \(0.178487\pi\) | |||||||
\(758\) | −68.9468 | − | 1.93446i | −2.50426 | − | 0.0702628i | ||||
\(759\) | −8.54632 | + | 0.720874i | −0.310212 | + | 0.0261661i | ||||
\(760\) | −19.1350 | + | 25.4260i | −0.694101 | + | 0.922299i | ||||
\(761\) | −26.3594 | − | 16.5627i | −0.955526 | − | 0.600397i | −0.0385148 | − | 0.999258i | \(-0.512263\pi\) |
−0.917011 | + | 0.398861i | \(0.869406\pi\) | |||||||
\(762\) | −12.4950 | + | 1.76400i | −0.452645 | + | 0.0639028i | ||||
\(763\) | 2.83625 | + | 0.817108i | 0.102679 | + | 0.0295813i | ||||
\(764\) | −4.55806 | + | 19.9702i | −0.164905 | + | 0.722495i | ||||
\(765\) | 14.5979 | − | 22.4500i | 0.527788 | − | 0.811682i | ||||
\(766\) | −3.09378 | − | 13.5547i | −0.111783 | − | 0.489753i | ||||
\(767\) | −3.42955 | − | 8.27966i | −0.123834 | − | 0.298961i | ||||
\(768\) | 1.27449 | − | 0.851584i | 0.0459891 | − | 0.0307289i | ||||
\(769\) | −14.0580 | − | 8.83322i | −0.506944 | − | 0.318534i | 0.254162 | − | 0.967162i | \(-0.418200\pi\) |
−0.761106 | + | 0.648628i | \(0.775343\pi\) | |||||||
\(770\) | 18.8837 | + | 36.5529i | 0.680520 | + | 1.31727i | ||||
\(771\) | 0.147880 | − | 1.04748i | 0.00532577 | − | 0.0377242i | ||||
\(772\) | −18.9374 | + | 73.4144i | −0.681573 | + | 2.64224i | ||||
\(773\) | 15.2413 | − | 36.7958i | 0.548192 | − | 1.32345i | −0.370630 | − | 0.928780i | \(-0.620858\pi\) |
0.918822 | − | 0.394672i | \(-0.129142\pi\) | |||||||
\(774\) | −13.0632 | + | 35.4912i | −0.469549 | + | 1.27570i | ||||
\(775\) | 4.63364 | − | 0.921687i | 0.166445 | − | 0.0331080i | ||||
\(776\) | −25.2267 | + | 14.8808i | −0.905584 | + | 0.534190i | ||||
\(777\) | 0.459033 | + | 1.77952i | 0.0164677 | + | 0.0638400i | ||||
\(778\) | −3.28842 | + | 29.1855i | −0.117896 | + | 1.04635i | ||||
\(779\) | 48.8286 | − | 51.6477i | 1.74947 | − | 1.85047i | ||||
\(780\) | 4.10294 | − | 1.69949i | 0.146909 | − | 0.0608516i | ||||
\(781\) | 3.08637 | 0.110439 | ||||||||
\(782\) | 35.2134 | + | 40.6585i | 1.25923 | + | 1.45395i | ||||
\(783\) | 12.4286 | − | 15.5849i | 0.444161 | − | 0.556960i | ||||
\(784\) | −5.82096 | + | 0.989021i | −0.207892 | + | 0.0353222i | ||||
\(785\) | −6.56385 | − | 0.553654i | −0.234274 | − | 0.0197608i | ||||
\(786\) | 8.36901 | + | 23.9172i | 0.298513 | + | 0.853100i | ||||
\(787\) | −11.1367 | + | 0.312466i | −0.396980 | + | 0.0111382i | −0.225978 | − | 0.974132i | \(-0.572558\pi\) |
−0.171002 | + | 0.985271i | \(0.554701\pi\) | |||||||
\(788\) | 3.49249 | − | 2.06016i | 0.124415 | − | 0.0733903i | ||||
\(789\) | 4.06039 | − | 4.80847i | 0.144554 | − | 0.171186i | ||||
\(790\) | 11.0183 | − | 15.5289i | 0.392015 | − | 0.552494i | ||||
\(791\) | −31.2286 | − | 22.1579i | −1.11036 | − | 0.787843i | ||||
\(792\) | 6.48014 | + | 8.61060i | 0.230262 | + | 0.305964i | ||||
\(793\) | −7.90073 | + | 0.666418i | −0.280563 | + | 0.0236652i | ||||
\(794\) | −21.7183 | − | 25.7196i | −0.770754 | − | 0.912756i | ||||
\(795\) | 13.7131 | + | 4.79841i | 0.486352 | + | 0.170182i | ||||
\(796\) | 1.56856 | + | 0.925272i | 0.0555963 | + | 0.0327954i | ||||
\(797\) | 4.72311 | − | 16.3943i | 0.167301 | − | 0.580715i | −0.832349 | − | 0.554252i | \(-0.813004\pi\) |
0.999650 | − | 0.0264626i | \(-0.00842428\pi\) | |||||||
\(798\) | −24.8764 | + | 19.8382i | −0.880613 | + | 0.702266i | ||||
\(799\) | −6.60990 | − | 18.1584i | −0.233842 | − | 0.642399i | ||||
\(800\) | −7.69507 | − | 1.75635i | −0.272062 | − | 0.0620963i | ||||
\(801\) | −4.33577 | − | 25.5185i | −0.153197 | − | 0.901653i | ||||
\(802\) | −59.4071 | − | 18.9347i | −2.09774 | − | 0.668609i | ||||
\(803\) | 12.3750 | + | 35.3656i | 0.436703 | + | 1.24802i | ||||
\(804\) | −0.343177 | − | 12.2313i | −0.0121029 | − | 0.431365i | ||||
\(805\) | 40.4941 | − | 23.8869i | 1.42723 | − | 0.841901i | ||||
\(806\) | 4.78748 | − | 9.26707i | 0.168632 | − | 0.326418i | ||||
\(807\) | −14.3381 | − | 10.1735i | −0.504727 | − | 0.358123i | ||||
\(808\) | −30.0372 | + | 16.6010i | −1.05671 | + | 0.584021i | ||||
\(809\) | −18.6968 | − | 41.7832i | −0.657343 | − | 1.46902i | −0.870585 | − | 0.492019i | \(-0.836259\pi\) |
0.213241 | − | 0.977000i | \(-0.431598\pi\) | |||||||
\(810\) | −26.2697 | − | 17.5529i | −0.923023 | − | 0.616745i | ||||
\(811\) | −0.182925 | + | 0.919628i | −0.00642338 | + | 0.0322925i | −0.983864 | − | 0.178918i | \(-0.942740\pi\) |
0.977441 | + | 0.211210i | \(0.0677404\pi\) | |||||||
\(812\) | 27.8143 | − | 44.2663i | 0.976092 | − | 1.55344i | ||||
\(813\) | −4.34277 | + | 13.6253i | −0.152308 | + | 0.477860i | ||||
\(814\) | −3.31595 | + | 3.71055i | −0.116224 | + | 0.130055i | ||||
\(815\) | 10.5502 | − | 21.9077i | 0.369557 | − | 0.767392i | ||||
\(816\) | 1.31982 | − | 4.32716i | 0.0462029 | − | 0.151481i | ||||
\(817\) | −12.9337 | − | 47.7688i | −0.452494 | − | 1.67122i | ||||
\(818\) | 0.0273037 | + | 0.0659171i | 0.000954653 | + | 0.00230474i | ||||
\(819\) | −8.98901 | + | 1.26904i | −0.314101 | + | 0.0443437i | ||||
\(820\) | −60.9240 | − | 21.3182i | −2.12756 | − | 0.744464i | ||||
\(821\) | −3.82655 | + | 1.97684i | −0.133548 | + | 0.0689923i | −0.524457 | − | 0.851437i | \(-0.675732\pi\) |
0.390910 | + | 0.920429i | \(0.372160\pi\) | |||||||
\(822\) | 0.366699 | − | 0.960650i | 0.0127901 | − | 0.0335065i | ||||
\(823\) | −2.59411 | − | 13.0415i | −0.0904252 | − | 0.454598i | −0.999296 | − | 0.0375200i | \(-0.988054\pi\) |
0.908871 | − | 0.417078i | \(-0.136946\pi\) | |||||||
\(824\) | 2.64107 | − | 6.37611i | 0.0920061 | − | 0.222122i | ||||
\(825\) | −0.256624 | + | 1.51038i | −0.00893451 | + | 0.0525847i | ||||
\(826\) | 26.7631 | − | 51.8050i | 0.931208 | − | 1.80253i | ||||
\(827\) | 0.412212 | − | 0.389713i | 0.0143340 | − | 0.0135516i | −0.679796 | − | 0.733401i | \(-0.737932\pi\) |
0.694131 | + | 0.719849i | \(0.255789\pi\) | |||||||
\(828\) | 33.4464 | − | 28.2430i | 1.16234 | − | 0.981511i | ||||
\(829\) | −20.6701 | + | 7.23277i | −0.717901 | + | 0.251204i | −0.664415 | − | 0.747364i | \(-0.731319\pi\) |
−0.0534862 | + | 0.998569i | \(0.517033\pi\) | |||||||
\(830\) | 59.0090 | + | 55.7881i | 2.04823 | + | 1.93643i | ||||
\(831\) | −0.349291 | − | 0.0196158i | −0.0121168 | − | 0.000680464i | ||||
\(832\) | −10.5607 | + | 8.42186i | −0.366126 | + | 0.291975i | ||||
\(833\) | 8.78061 | − | 10.0763i | 0.304230 | − | 0.349124i | ||||
\(834\) | 1.69369 | − | 7.42052i | 0.0586476 | − | 0.256952i | ||||
\(835\) | −31.5278 | + | 35.2797i | −1.09107 | + | 1.22090i | ||||
\(836\) | −47.7620 | − | 15.2231i | −1.65188 | − | 0.526503i | ||||
\(837\) | 14.9616 | − | 1.68577i | 0.517150 | − | 0.0582688i | ||||
\(838\) | 13.6364 | + | 52.8639i | 0.471061 | + | 1.82615i | ||||
\(839\) | −43.2698 | − | 6.10868i | −1.49384 | − | 0.210895i | −0.655147 | − | 0.755502i | \(-0.727393\pi\) |
−0.838692 | + | 0.544607i | \(0.816679\pi\) | |||||||
\(840\) | 7.22173 | + | 3.73084i | 0.249173 | + | 0.128726i | ||||
\(841\) | −1.51158 | − | 5.24681i | −0.0521235 | − | 0.180925i | ||||
\(842\) | 3.04447 | + | 54.2118i | 0.104919 | + | 1.86826i | ||||
\(843\) | 12.6258 | + | 0.354246i | 0.434856 | + | 0.0122009i | ||||
\(844\) | −3.90592 | − | 4.13143i | −0.134447 | − | 0.142210i | ||||
\(845\) | 25.9134 | − | 13.3872i | 0.891446 | − | 0.460532i | ||||
\(846\) | −25.5133 | + | 8.92750i | −0.877166 | + | 0.306934i | ||||
\(847\) | 11.6585 | − | 12.3316i | 0.400592 | − | 0.423720i | ||||
\(848\) | −17.8092 | − | 1.00014i | −0.611570 | − | 0.0343450i | ||||
\(849\) | 3.66013 | − | 4.58966i | 0.125615 | − | 0.157517i | ||||
\(850\) | 8.60363 | − | 4.27664i | 0.295102 | − | 0.146687i | ||||
\(851\) | 4.44592 | + | 3.54550i | 0.152404 | + | 0.121538i | ||||
\(852\) | 1.76782 | − | 1.25433i | 0.0605645 | − | 0.0429728i | ||||
\(853\) | 7.95040 | + | 11.8986i | 0.272216 | + | 0.407401i | 0.942240 | − | 0.334939i | \(-0.108716\pi\) |
−0.670023 | + | 0.742340i | \(0.733716\pi\) | |||||||
\(854\) | −36.4784 | − | 36.4784i | −1.24826 | − | 1.24826i | ||||
\(855\) | 48.9968 | − | 1.37472i | 1.67566 | − | 0.0470144i | ||||
\(856\) | 0.399779 | + | 4.73958i | 0.0136642 | + | 0.161996i | ||||
\(857\) | 21.4764 | + | 28.5372i | 0.733621 | + | 0.974812i | 0.999940 | + | 0.0109268i | \(0.00347819\pi\) |
−0.266319 | + | 0.963885i | \(0.585808\pi\) | |||||||
\(858\) | 2.25388 | + | 2.52209i | 0.0769461 | + | 0.0861027i | ||||
\(859\) | −5.90699 | − | 2.44676i | −0.201544 | − | 0.0834823i | 0.279628 | − | 0.960108i | \(-0.409789\pi\) |
−0.481172 | + | 0.876626i | \(0.659789\pi\) | |||||||
\(860\) | −34.7996 | + | 28.4397i | −1.18666 | + | 0.969785i | ||||
\(861\) | −15.0956 | − | 10.0866i | −0.514457 | − | 0.343749i | ||||
\(862\) | −14.2293 | + | 18.9074i | −0.484652 | + | 0.643990i | ||||
\(863\) | 0.862929 | − | 2.46611i | 0.0293745 | − | 0.0839474i | −0.928262 | − | 0.371926i | \(-0.878698\pi\) |
0.957637 | + | 0.287979i | \(0.0929832\pi\) | |||||||
\(864\) | −23.9663 | − | 7.63875i | −0.815350 | − | 0.259876i | ||||
\(865\) | −6.30969 | + | 4.47696i | −0.214536 | + | 0.152221i | ||||
\(866\) | − | 60.8992i | − | 2.06944i | ||||||
\(867\) | 3.89010 | + | 9.47291i | 0.132115 | + | 0.321717i | ||||
\(868\) | 38.4973 | − | 8.78677i | 1.30668 | − | 0.298242i | ||||
\(869\) | 8.10818 | + | 2.33593i | 0.275051 | + | 0.0792409i | ||||
\(870\) | 17.7940 | − | 6.79232i | 0.603273 | − | 0.230281i | ||||
\(871\) | 0.879108 | + | 7.80230i | 0.0297875 | + | 0.264371i | ||||
\(872\) | 1.26167 | + | 0.949505i | 0.0427256 | + | 0.0321543i | ||||
\(873\) | 42.1477 | + | 16.0886i | 1.42648 | + | 0.544518i | ||||
\(874\) | −24.5913 | + | 95.3326i | −0.831813 | + | 3.22467i | ||||
\(875\) | 8.58472 | + | 29.7982i | 0.290217 | + | 1.00736i | ||||
\(876\) | 21.4611 | + | 15.2275i | 0.725103 | + | 0.514488i | ||||
\(877\) | −0.364973 | + | 13.0081i | −0.0123243 | + | 0.439254i | 0.969019 | + | 0.246988i | \(0.0794408\pi\) |
−0.981343 | + | 0.192266i | \(0.938416\pi\) | |||||||
\(878\) | 5.71172 | − | 40.4580i | 0.192761 | − | 1.36539i | ||||
\(879\) | 10.2307 | − | 5.28531i | 0.345073 | − | 0.178269i | ||||
\(880\) | −1.19885 | − | 10.6401i | −0.0404132 | − | 0.358677i | ||||
\(881\) | 7.56251 | − | 12.8203i | 0.254787 | − | 0.431927i | −0.706404 | − | 0.707808i | \(-0.749684\pi\) |
0.961192 | + | 0.275881i | \(0.0889697\pi\) | |||||||
\(882\) | −13.9399 | − | 12.4575i | −0.469381 | − | 0.419464i | ||||
\(883\) | −33.7608 | − | 26.9233i | −1.13614 | − | 0.906042i | −0.139688 | − | 0.990196i | \(-0.544610\pi\) |
−0.996453 | + | 0.0841531i | \(0.973182\pi\) | |||||||
\(884\) | 2.59574 | − | 12.0662i | 0.0873042 | − | 0.405832i | ||||
\(885\) | 11.1361 | − | 5.36286i | 0.374336 | − | 0.180271i | ||||
\(886\) | 2.81775 | + | 16.5841i | 0.0946642 | + | 0.557153i | ||||
\(887\) | −4.59325 | − | 12.0330i | −0.154226 | − | 0.404029i | 0.835033 | − | 0.550199i | \(-0.185448\pi\) |
−0.989260 | + | 0.146170i | \(0.953305\pi\) | |||||||
\(888\) | −0.110080 | + | 0.976987i | −0.00369404 | + | 0.0327855i | ||||
\(889\) | 24.4928 | + | 18.4327i | 0.821462 | + | 0.618214i | ||||
\(890\) | 18.8534 | − | 49.3905i | 0.631966 | − | 1.65557i | ||||
\(891\) | 3.49714 | − | 13.5573i | 0.117159 | − | 0.454187i | ||||
\(892\) | −14.6893 | − | 26.5782i | −0.491833 | − | 0.889904i | ||||
\(893\) | 20.4681 | − | 28.8472i | 0.684940 | − | 0.965333i | ||||
\(894\) | −14.1520 | − | 7.31111i | −0.473315 | − | 0.244520i | ||||
\(895\) | 16.0434 | − | 42.0293i | 0.536272 | − | 1.40488i | ||||
\(896\) | −39.6966 | − | 7.89614i | −1.32617 | − | 0.263792i | ||||
\(897\) | 2.73310 | − | 2.73310i | 0.0912555 | − | 0.0912555i | ||||
\(898\) | 21.7551 | + | 20.5676i | 0.725977 | + | 0.686351i | ||||
\(899\) | 12.5904 | − | 22.7805i | 0.419912 | − | 0.759774i | ||||
\(900\) | −3.39278 | − | 7.04519i | −0.113093 | − | 0.234840i | ||||
\(901\) | 32.6350 | − | 23.7748i | 1.08723 | − | 0.792054i | ||||
\(902\) | − | 49.1609i | − | 1.63688i | ||||||
\(903\) | −11.4762 | + | 5.30099i | −0.381902 | + | 0.176406i | ||||
\(904\) | −11.3807 | − | 17.0325i | −0.378518 | − | 0.566492i | ||||
\(905\) | −4.54355 | − | 12.9847i | −0.151033 | − | 0.431627i | ||||
\(906\) | 3.07076 | − | 0.792110i | 0.102019 | − | 0.0263161i | ||||
\(907\) | −9.72634 | + | 0.820407i | −0.322958 | + | 0.0272412i | −0.244418 | − | 0.969670i | \(-0.578597\pi\) |
−0.0785394 | + | 0.996911i | \(0.525026\pi\) | |||||||
\(908\) | −14.6219 | − | 32.6767i | −0.485245 | − | 1.08442i | ||||
\(909\) | 48.8393 | + | 20.2299i | 1.61990 | + | 0.670983i | ||||
\(910\) | −17.1300 | − | 7.09549i | −0.567855 | − | 0.235213i | ||||
\(911\) | −8.85783 | + | 3.96362i | −0.293473 | + | 0.131321i | −0.549869 | − | 0.835251i | \(-0.685322\pi\) |
0.256396 | + | 0.966572i | \(0.417465\pi\) | |||||||
\(912\) | 7.88966 | − | 2.51466i | 0.261253 | − | 0.0832687i | ||||
\(913\) | −14.6985 | + | 32.8479i | −0.486449 | + | 1.08711i | ||||
\(914\) | −28.9803 | + | 3.26530i | −0.958583 | + | 0.108006i | ||||
\(915\) | −1.52866 | − | 10.8280i | −0.0505358 | − | 0.357962i | ||||
\(916\) | −16.3731 | − | 23.0757i | −0.540982 | − | 0.762443i | ||||
\(917\) | 26.7074 | − | 55.4585i | 0.881956 | − | 1.83140i | ||||
\(918\) | 28.4676 | − | 11.2765i | 0.939571 | − | 0.372179i | ||||
\(919\) | 11.6429 | − | 51.0107i | 0.384063 | − | 1.68269i | −0.300538 | − | 0.953770i | \(-0.597166\pi\) |
0.684601 | − | 0.728918i | \(-0.259977\pi\) | |||||||
\(920\) | 24.7963 | − | 4.21306i | 0.817510 | − | 0.138901i | ||||
\(921\) | 2.38428 | − | 4.04195i | 0.0785648 | − | 0.133187i | ||||
\(922\) | 6.42436 | − | 57.0178i | 0.211575 | − | 1.87778i | ||||
\(923\) | −1.06271 | + | 0.897379i | −0.0349795 | + | 0.0295376i | ||||
\(924\) | −1.79000 | + | 12.6792i | −0.0588868 | + | 0.417115i | ||||
\(925\) | 0.811613 | − | 0.610801i | 0.0266857 | − | 0.0200830i | ||||
\(926\) | 43.5459 | − | 24.0670i | 1.43101 | − | 0.790890i | ||||
\(927\) | −10.2150 | + | 2.94290i | −0.335505 | + | 0.0966574i | ||||
\(928\) | −34.7448 | + | 26.1481i | −1.14055 | + | 0.858354i | ||||
\(929\) | 24.7887 | + | 26.2198i | 0.813289 | + | 0.860244i | 0.992332 | − | 0.123597i | \(-0.0394430\pi\) |
−0.179043 | + | 0.983841i | \(0.557300\pi\) | |||||||
\(930\) | 13.1312 | + | 5.87585i | 0.430590 | + | 0.192677i | ||||
\(931\) | 24.3102 | + | 2.73910i | 0.796733 | + | 0.0897703i | ||||
\(932\) | −2.24246 | − | 15.8841i | −0.0734541 | − | 0.520299i | ||||
\(933\) | −11.3936 | + | 8.08421i | −0.373011 | + | 0.264665i | ||||
\(934\) | 14.1356 | − | 29.3529i | 0.462532 | − | 0.960457i | ||||
\(935\) | 17.3515 | + | 16.9229i | 0.567455 | + | 0.553438i | ||||
\(936\) | −4.73484 | − | 1.08070i | −0.154763 | − | 0.0353237i | ||||
\(937\) | −9.83840 | + | 34.1498i | −0.321406 | + | 1.11563i | 0.621733 | + | 0.783229i | \(0.286429\pi\) |
−0.943140 | + | 0.332397i | \(0.892143\pi\) | |||||||
\(938\) | −35.0963 | + | 37.1225i | −1.14593 | + | 1.21209i | ||||
\(939\) | −11.3714 | + | 11.3714i | −0.371091 | + | 0.371091i | ||||
\(940\) | −31.5044 | − | 6.26661i | −1.02756 | − | 0.204394i | ||||
\(941\) | −27.2567 | − | 10.4044i | −0.888543 | − | 0.339175i | −0.130554 | − | 0.991441i | \(-0.541675\pi\) |
−0.757990 | + | 0.652266i | \(0.773818\pi\) | |||||||
\(942\) | −2.69213 | − | 2.27330i | −0.0877144 | − | 0.0740682i | ||||
\(943\) | −56.0889 | + | 3.14988i | −1.82651 | + | 0.102574i | ||||
\(944\) | −11.3153 | + | 10.1120i | −0.368281 | + | 0.329116i | ||||
\(945\) | −5.22138 | − | 26.2497i | −0.169852 | − | 0.853902i | ||||
\(946\) | −29.1993 | − | 17.8633i | −0.949351 | − | 0.580787i | ||||
\(947\) | −31.6477 | − | 6.29511i | −1.02841 | − | 0.204564i | −0.348077 | − | 0.937466i | \(-0.613165\pi\) |
−0.680334 | + | 0.732902i | \(0.738165\pi\) | |||||||
\(948\) | 5.59357 | − | 1.95727i | 0.181671 | − | 0.0635693i | ||||
\(949\) | −14.5437 | − | 8.57911i | −0.472109 | − | 0.278490i | ||||
\(950\) | 15.3921 | + | 8.50689i | 0.499384 | + | 0.276000i | ||||
\(951\) | −1.49439 | − | 6.54735i | −0.0484589 | − | 0.212312i | ||||
\(952\) | 19.9392 | − | 10.6188i | 0.646235 | − | 0.344157i | ||||
\(953\) | 41.4441i | 1.34251i | 0.741229 | + | 0.671253i | \(0.234243\pi\) | ||||
−0.741229 | + | 0.671253i | \(0.765757\pi\) | |||||||
\(954\) | −32.6824 | − | 46.0616i | −1.05813 | − | 1.49130i | ||||
\(955\) | 18.0640 | + | 1.52368i | 0.584538 | + | 0.0493052i | ||||
\(956\) | 18.9666 | + | 30.1851i | 0.613423 | + | 0.976257i | ||||
\(957\) | 5.44552 | + | 6.44879i | 0.176029 | + | 0.208460i | ||||
\(958\) | −8.40916 | − | 14.2556i | −0.271688 | − | 0.460577i | ||||
\(959\) | −2.28000 | + | 1.02024i | −0.0736252 | + | 0.0329452i | ||||
\(960\) | −12.4138 | − | 13.8911i | −0.400654 | − | 0.448332i | ||||
\(961\) | −10.8973 | + | 3.13946i | −0.351526 | + | 0.101273i | ||||
\(962\) | 0.0628977 | − | 2.24176i | 0.00202790 | − | 0.0722772i | ||||
\(963\) | 5.32383 | − | 5.03324i | 0.171558 | − | 0.162194i | ||||
\(964\) | 12.6287 | + | 48.9576i | 0.406744 | + | 1.57682i | ||||
\(965\) | 66.6769 | + | 7.51268i | 2.14641 | + | 0.241842i | ||||
\(966\) | 25.0597 | + | 2.11376i | 0.806281 | + | 0.0680090i | ||||
\(967\) | 20.2944 | − | 22.7094i | 0.652623 | − | 0.730286i | −0.323806 | − | 0.946123i | \(-0.604963\pi\) |
0.976429 | + | 0.215838i | \(0.0692483\pi\) | |||||||
\(968\) | 8.17965 | − | 3.93911i | 0.262904 | − | 0.126608i | ||||
\(969\) | −10.2181 | + | 15.7144i | −0.328254 | + | 0.504820i | ||||
\(970\) | 57.4495 | + | 72.0394i | 1.84459 | + | 2.31305i | ||||
\(971\) | 15.5345 | + | 13.8825i | 0.498526 | + | 0.445510i | 0.877274 | − | 0.479990i | \(-0.159360\pi\) |
−0.378748 | + | 0.925500i | \(0.623645\pi\) | |||||||
\(972\) | −13.6167 | − | 35.6720i | −0.436756 | − | 1.14418i | ||||
\(973\) | −15.6556 | + | 9.83706i | −0.501895 | + | 0.315362i | ||||
\(974\) | −4.19611 | − | 8.12236i | −0.134452 | − | 0.260257i | ||||
\(975\) | −0.350789 | − | 0.594674i | −0.0112343 | − | 0.0190448i | ||||
\(976\) | 5.48375 | + | 12.2550i | 0.175531 | + | 0.392272i | ||||
\(977\) | 40.3445 | + | 45.1456i | 1.29074 | + | 1.44433i | 0.830994 | + | 0.556282i | \(0.187773\pi\) |
0.459742 | + | 0.888052i | \(0.347942\pi\) | |||||||
\(978\) | 11.3838 | − | 6.29163i | 0.364015 | − | 0.201184i | ||||
\(979\) | 23.4187 | + | 0.657066i | 0.748466 | + | 0.0209999i | ||||
\(980\) | −6.74666 | − | 21.1674i | −0.215514 | − | 0.676168i | ||||
\(981\) | −0.0682153 | − | 2.43128i | −0.00217795 | − | 0.0776249i | ||||
\(982\) | 18.7267 | + | 18.7267i | 0.597592 | + | 0.597592i | ||||
\(983\) | 4.76788 | + | 7.13563i | 0.152072 | + | 0.227591i | 0.899682 | − | 0.436547i | \(-0.143799\pi\) |
−0.747610 | + | 0.664138i | \(0.768799\pi\) | |||||||
\(984\) | −5.62046 | − | 7.92130i | −0.179174 | − | 0.252522i | ||||
\(985\) | −2.23742 | − | 2.80564i | −0.0712902 | − | 0.0893951i | ||||
\(986\) | 12.5795 | − | 51.4165i | 0.400612 | − | 1.63744i | ||||
\(987\) | −8.14031 | − | 3.92017i | −0.259109 | − | 0.124780i | ||||
\(988\) | 20.8718 | − | 8.64537i | 0.664020 | − | 0.275046i | ||||
\(989\) | −18.5098 | + | 34.4587i | −0.588578 | + | 1.09572i | ||||
\(990\) | 23.9731 | − | 23.9731i | 0.761915 | − | 0.761915i | ||||
\(991\) | −6.42260 | − | 4.83350i | −0.204020 | − | 0.153541i | 0.494386 | − | 0.869242i | \(-0.335393\pi\) |
−0.698407 | + | 0.715701i | \(0.746107\pi\) | |||||||
\(992\) | −32.5221 | − | 4.59136i | −1.03258 | − | 0.145776i | ||||
\(993\) | −6.63367 | + | 7.85584i | −0.210513 | + | 0.249298i | ||||
\(994\) | −8.92204 | − | 1.51592i | −0.282990 | − | 0.0480819i | ||||
\(995\) | 0.616774 | − | 1.48902i | 0.0195530 | − | 0.0472052i | ||||
\(996\) | 4.93070 | + | 24.7883i | 0.156235 | + | 0.785448i | ||||
\(997\) | −13.2074 | − | 5.04152i | −0.418281 | − | 0.159666i | 0.138430 | − | 0.990372i | \(-0.455794\pi\) |
−0.556712 | + | 0.830706i | \(0.687937\pi\) | |||||||
\(998\) | −16.2886 | + | 13.7545i | −0.515607 | + | 0.435391i | ||||
\(999\) | 2.74100 | − | 1.72228i | 0.0867214 | − | 0.0544907i |
(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.bj.a.22.10 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.55 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.55 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.10 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.10 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.55 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.55 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.10 | yes | 3072 | 731.432 | even | 112 | inner |