Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(4,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.t (of order \(78\), degree \(24\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{78})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{78}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 507.4 |
Dual form | 507.2.t.a.127.9 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{78}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.756241 | + | 0.0304755i | 0.534743 | + | 0.0215494i | 0.306169 | − | 0.951977i | \(-0.400953\pi\) |
0.228574 | + | 0.973527i | \(0.426594\pi\) | |||||||
\(3\) | 0.278217 | − | 0.960518i | 0.160629 | − | 0.554555i | ||||
\(4\) | −1.42254 | − | 0.114840i | −0.711272 | − | 0.0574198i | ||||
\(5\) | −1.80244 | − | 0.683575i | −0.806075 | − | 0.305704i | −0.0830675 | − | 0.996544i | \(-0.526472\pi\) |
−0.723008 | + | 0.690840i | \(0.757241\pi\) | |||||||
\(6\) | 0.239672 | − | 0.717904i | 0.0978455 | − | 0.293083i | ||||
\(7\) | 0.988668 | + | 2.32049i | 0.373681 | + | 0.877062i | 0.995576 | + | 0.0939612i | \(0.0299530\pi\) |
−0.621895 | + | 0.783101i | \(0.713637\pi\) | |||||||
\(8\) | −2.57496 | − | 0.312656i | −0.910385 | − | 0.110541i | ||||
\(9\) | −0.845190 | − | 0.534466i | −0.281730 | − | 0.178155i | ||||
\(10\) | −1.34225 | − | 0.571877i | −0.424455 | − | 0.180843i | ||||
\(11\) | −3.17644 | − | 5.02314i | −0.957733 | − | 1.51453i | −0.854224 | − | 0.519905i | \(-0.825967\pi\) |
−0.103509 | − | 0.994629i | \(-0.533007\pi\) | |||||||
\(12\) | −0.506082 | + | 1.33443i | −0.146093 | + | 0.385216i | ||||
\(13\) | 0.984160 | + | 3.46863i | 0.272957 | + | 0.962026i | ||||
\(14\) | 0.676953 | + | 1.78498i | 0.180923 | + | 0.477055i | ||||
\(15\) | −1.15806 | + | 1.54109i | −0.299009 | + | 0.397908i | ||||
\(16\) | 0.879621 | + | 0.142952i | 0.219905 | + | 0.0357381i | ||||
\(17\) | −6.63268 | + | 2.82592i | −1.60866 | + | 0.685387i | −0.994591 | − | 0.103865i | \(-0.966879\pi\) |
−0.614070 | + | 0.789252i | \(0.710469\pi\) | |||||||
\(18\) | −0.622879 | − | 0.429942i | −0.146814 | − | 0.101338i | ||||
\(19\) | −4.97273 | + | 2.87100i | −1.14082 | + | 0.658654i | −0.946634 | − | 0.322311i | \(-0.895540\pi\) |
−0.194188 | + | 0.980964i | \(0.562207\pi\) | |||||||
\(20\) | 2.48555 | + | 1.17941i | 0.555785 | + | 0.263723i | ||||
\(21\) | 2.50394 | − | 0.304033i | 0.546404 | − | 0.0663454i | ||||
\(22\) | −2.24907 | − | 3.89551i | −0.479504 | − | 0.830525i | ||||
\(23\) | 2.77663 | − | 4.80926i | 0.578967 | − | 1.00280i | −0.416631 | − | 0.909076i | \(-0.636789\pi\) |
0.995598 | − | 0.0937245i | \(-0.0298773\pi\) | |||||||
\(24\) | −1.01671 | + | 2.38631i | −0.207535 | + | 0.487103i | ||||
\(25\) | −0.961042 | − | 0.851409i | −0.192208 | − | 0.170282i | ||||
\(26\) | 0.638554 | + | 2.65312i | 0.125231 | + | 0.520319i | ||||
\(27\) | −0.748511 | + | 0.663123i | −0.144051 | + | 0.127618i | ||||
\(28\) | −1.13994 | − | 3.41453i | −0.215428 | − | 0.645286i | ||||
\(29\) | −0.236964 | + | 5.88019i | −0.0440030 | + | 1.09192i | 0.814840 | + | 0.579686i | \(0.196825\pi\) |
−0.858843 | + | 0.512238i | \(0.828816\pi\) | |||||||
\(30\) | −0.922735 | + | 1.13014i | −0.168468 | + | 0.206335i | ||||
\(31\) | −6.21270 | − | 7.01269i | −1.11583 | − | 1.25952i | −0.962482 | − | 0.271344i | \(-0.912532\pi\) |
−0.153351 | − | 0.988172i | \(-0.549007\pi\) | |||||||
\(32\) | 5.74375 | + | 1.17259i | 1.01536 | + | 0.207287i | ||||
\(33\) | −5.70856 | + | 1.65350i | −0.993732 | + | 0.287838i | ||||
\(34\) | −5.10202 | + | 1.93494i | −0.874990 | + | 0.331840i | ||||
\(35\) | −0.195785 | − | 4.85837i | −0.0330938 | − | 0.821214i | ||||
\(36\) | 1.14094 | + | 0.857362i | 0.190157 | + | 0.142894i | ||||
\(37\) | 5.74704 | − | 1.17327i | 0.944808 | − | 0.192884i | 0.297163 | − | 0.954827i | \(-0.403959\pi\) |
0.647644 | + | 0.761943i | \(0.275754\pi\) | |||||||
\(38\) | −3.84807 | + | 2.01962i | −0.624240 | + | 0.327626i | ||||
\(39\) | 3.60550 | + | 0.0197311i | 0.577342 | + | 0.00315950i | ||||
\(40\) | 4.42748 | + | 2.32372i | 0.700046 | + | 0.367412i | ||||
\(41\) | −3.28934 | − | 0.952768i | −0.513708 | − | 0.148797i | 0.0112313 | − | 0.999937i | \(-0.496425\pi\) |
−0.524940 | + | 0.851140i | \(0.675912\pi\) | |||||||
\(42\) | 1.90284 | − | 0.153613i | 0.293615 | − | 0.0237031i | ||||
\(43\) | −1.59494 | + | 7.81251i | −0.243225 | + | 1.19140i | 0.656290 | + | 0.754509i | \(0.272125\pi\) |
−0.899516 | + | 0.436889i | \(0.856080\pi\) | |||||||
\(44\) | 3.94177 | + | 7.51042i | 0.594244 | + | 1.13224i | ||||
\(45\) | 1.15806 | + | 1.54109i | 0.172633 | + | 0.229733i | ||||
\(46\) | 2.24636 | − | 3.55234i | 0.331208 | − | 0.523764i | ||||
\(47\) | 4.44238 | − | 3.06635i | 0.647987 | − | 0.447273i | −0.198198 | − | 0.980162i | \(-0.563509\pi\) |
0.846185 | + | 0.532889i | \(0.178894\pi\) | |||||||
\(48\) | 0.382034 | − | 0.805120i | 0.0551419 | − | 0.116209i | ||||
\(49\) | 0.441869 | − | 0.460034i | 0.0631241 | − | 0.0657191i | ||||
\(50\) | −0.700832 | − | 0.673158i | −0.0991126 | − | 0.0951990i | ||||
\(51\) | 0.869021 | + | 7.15703i | 0.121687 | + | 1.00218i | ||||
\(52\) | −1.00167 | − | 5.04730i | −0.138907 | − | 0.699935i | ||||
\(53\) | 1.15493 | − | 9.51172i | 0.158642 | − | 1.30654i | −0.668149 | − | 0.744027i | \(-0.732913\pi\) |
0.826792 | − | 0.562508i | \(-0.190164\pi\) | |||||||
\(54\) | −0.586263 | + | 0.478669i | −0.0797803 | + | 0.0651386i | ||||
\(55\) | 2.29165 | + | 11.2252i | 0.309006 | + | 1.51361i | ||||
\(56\) | −1.82026 | − | 6.28427i | −0.243243 | − | 0.839771i | ||||
\(57\) | 1.37415 | + | 5.57516i | 0.182011 | + | 0.738447i | ||||
\(58\) | −0.358403 | + | 4.43962i | −0.0470606 | + | 0.582950i | ||||
\(59\) | 0.547602 | + | 3.36953i | 0.0712917 | + | 0.438676i | 0.998017 | + | 0.0629372i | \(0.0200468\pi\) |
−0.926726 | + | 0.375738i | \(0.877389\pi\) | |||||||
\(60\) | 1.82436 | − | 2.05928i | 0.235524 | − | 0.265852i | ||||
\(61\) | 0.266815 | − | 0.200498i | 0.0341622 | − | 0.0256712i | −0.583524 | − | 0.812096i | \(-0.698327\pi\) |
0.617686 | + | 0.786425i | \(0.288070\pi\) | |||||||
\(62\) | −4.48458 | − | 5.49261i | −0.569542 | − | 0.697563i | ||||
\(63\) | 0.404610 | − | 2.48966i | 0.0509760 | − | 0.313668i | ||||
\(64\) | 2.57739 | + | 0.635269i | 0.322174 | + | 0.0794086i | ||||
\(65\) | 0.597183 | − | 6.92475i | 0.0740715 | − | 0.858910i | ||||
\(66\) | −4.36743 | + | 1.07648i | −0.537594 | + | 0.132505i | ||||
\(67\) | −0.813674 | − | 10.0792i | −0.0994061 | − | 1.23137i | −0.833578 | − | 0.552402i | \(-0.813711\pi\) |
0.734172 | − | 0.678964i | \(-0.237571\pi\) | |||||||
\(68\) | 9.75980 | − | 3.25830i | 1.18355 | − | 0.395127i | ||||
\(69\) | −3.84688 | − | 4.00502i | −0.463109 | − | 0.482148i | ||||
\(70\) | − | 3.68006i | − | 0.439851i | ||||||
\(71\) | −2.56094 | + | 2.45981i | −0.303927 | + | 0.291926i | −0.829136 | − | 0.559048i | \(-0.811167\pi\) |
0.525208 | + | 0.850974i | \(0.323987\pi\) | |||||||
\(72\) | 2.00922 | + | 1.64048i | 0.236789 | + | 0.193333i | ||||
\(73\) | 2.44727 | − | 4.66288i | 0.286431 | − | 0.545749i | −0.699146 | − | 0.714979i | \(-0.746436\pi\) |
0.985576 | + | 0.169231i | \(0.0541284\pi\) | |||||||
\(74\) | 4.38190 | − | 0.712128i | 0.509386 | − | 0.0827832i | ||||
\(75\) | −1.08517 | + | 0.686222i | −0.125305 | + | 0.0792380i | ||||
\(76\) | 7.40362 | − | 3.51306i | 0.849254 | − | 0.402976i | ||||
\(77\) | 8.51569 | − | 12.3371i | 0.970453 | − | 1.40594i | ||||
\(78\) | 2.72602 | + | 0.124801i | 0.308661 | + | 0.0141309i | ||||
\(79\) | 0.769740 | + | 1.11516i | 0.0866025 | + | 0.125465i | 0.863891 | − | 0.503679i | \(-0.168021\pi\) |
−0.777288 | + | 0.629145i | \(0.783405\pi\) | |||||||
\(80\) | −1.48774 | − | 0.858949i | −0.166335 | − | 0.0960335i | ||||
\(81\) | 0.428693 | + | 0.903450i | 0.0476325 | + | 0.100383i | ||||
\(82\) | −2.45849 | − | 0.820766i | −0.271495 | − | 0.0906385i | ||||
\(83\) | 2.02625 | − | 8.22083i | 0.222410 | − | 0.902353i | −0.748543 | − | 0.663086i | \(-0.769246\pi\) |
0.970954 | − | 0.239268i | \(-0.0769074\pi\) | |||||||
\(84\) | −3.59687 | + | 0.144949i | −0.392451 | + | 0.0158152i | ||||
\(85\) | 13.8867 | − | 0.559616i | 1.50623 | − | 0.0606989i | ||||
\(86\) | −1.44425 | + | 5.85953i | −0.155737 | + | 0.631850i | ||||
\(87\) | 5.58210 | + | 1.86358i | 0.598464 | + | 0.199797i | ||||
\(88\) | 6.60868 | + | 13.9275i | 0.704488 | + | 1.48468i | ||||
\(89\) | −0.207571 | − | 0.119841i | −0.0220025 | − | 0.0127032i | 0.488958 | − | 0.872307i | \(-0.337377\pi\) |
−0.510961 | + | 0.859604i | \(0.670710\pi\) | |||||||
\(90\) | 0.828804 | + | 1.20073i | 0.0873636 | + | 0.126568i | ||||
\(91\) | −7.07592 | + | 5.71306i | −0.741758 | + | 0.598891i | ||||
\(92\) | −4.50217 | + | 6.52252i | −0.469383 | + | 0.680019i | ||||
\(93\) | −8.46429 | + | 4.01636i | −0.877706 | + | 0.416477i | ||||
\(94\) | 3.45295 | − | 2.18352i | 0.356145 | − | 0.225213i | ||||
\(95\) | 10.9256 | − | 1.77558i | 1.12094 | − | 0.182171i | ||||
\(96\) | 2.72431 | − | 5.19074i | 0.278049 | − | 0.529777i | ||||
\(97\) | 0.273825 | + | 0.223571i | 0.0278027 | + | 0.0227002i | 0.646245 | − | 0.763130i | \(-0.276338\pi\) |
−0.618442 | + | 0.785830i | \(0.712236\pi\) | |||||||
\(98\) | 0.348179 | − | 0.334430i | 0.0351714 | − | 0.0337826i | ||||
\(99\) | 5.94321i | 0.597315i | ||||||||
\(100\) | 1.26935 | + | 1.32153i | 0.126935 | + | 0.132153i | ||||
\(101\) | −12.0265 | + | 4.01505i | −1.19669 | + | 0.399512i | −0.844058 | − | 0.536251i | \(-0.819840\pi\) |
−0.352628 | + | 0.935764i | \(0.614712\pi\) | |||||||
\(102\) | 0.439075 | + | 5.43892i | 0.0434749 | + | 0.538533i | ||||
\(103\) | −14.9643 | + | 3.68836i | −1.47447 | + | 0.363425i | −0.892969 | − | 0.450119i | \(-0.851382\pi\) |
−0.581504 | + | 0.813544i | \(0.697535\pi\) | |||||||
\(104\) | −1.44968 | − | 9.23929i | −0.142153 | − | 0.905987i | ||||
\(105\) | −4.72102 | − | 1.16363i | −0.460724 | − | 0.113558i | ||||
\(106\) | 1.16328 | − | 7.15795i | 0.112988 | − | 0.695242i | ||||
\(107\) | 1.18625 | + | 1.45290i | 0.114679 | + | 0.140457i | 0.828755 | − | 0.559612i | \(-0.189050\pi\) |
−0.714075 | + | 0.700069i | \(0.753152\pi\) | |||||||
\(108\) | 1.14094 | − | 0.857362i | 0.109787 | − | 0.0824997i | ||||
\(109\) | −0.706928 | + | 0.797957i | −0.0677114 | + | 0.0764304i | −0.781390 | − | 0.624043i | \(-0.785489\pi\) |
0.713679 | + | 0.700473i | \(0.247028\pi\) | |||||||
\(110\) | 1.39094 | + | 8.55882i | 0.132621 | + | 0.816051i | ||||
\(111\) | 0.471983 | − | 5.84656i | 0.0447987 | − | 0.554931i | ||||
\(112\) | 0.537933 | + | 2.18248i | 0.0508299 | + | 0.206225i | ||||
\(113\) | −0.834545 | − | 2.88118i | −0.0785074 | − | 0.271039i | 0.911656 | − | 0.410954i | \(-0.134804\pi\) |
−0.990164 | + | 0.139915i | \(0.955317\pi\) | |||||||
\(114\) | 0.869285 | + | 4.25804i | 0.0814160 | + | 0.398802i | ||||
\(115\) | −8.29219 | + | 6.77036i | −0.773251 | + | 0.631340i | ||||
\(116\) | 1.01237 | − | 8.33762i | 0.0939962 | − | 0.774128i | ||||
\(117\) | 1.02206 | − | 3.45766i | 0.0944899 | − | 0.319660i | ||||
\(118\) | 0.311431 | + | 2.56486i | 0.0286695 | + | 0.236115i | ||||
\(119\) | −13.1150 | − | 12.5972i | −1.20225 | − | 1.15478i | ||||
\(120\) | 3.46378 | − | 3.60617i | 0.316198 | − | 0.329197i | ||||
\(121\) | −10.4265 | + | 21.9735i | −0.947867 | + | 1.99759i | ||||
\(122\) | 0.207887 | − | 0.143494i | 0.0188212 | − | 0.0129913i | ||||
\(123\) | −1.83030 | + | 2.89439i | −0.165033 | + | 0.260978i | ||||
\(124\) | 8.03250 | + | 10.6893i | 0.721340 | + | 0.959929i | ||||
\(125\) | 5.62947 | + | 10.7261i | 0.503515 | + | 0.959368i | ||||
\(126\) | 0.381856 | − | 1.87045i | 0.0340184 | − | 0.166633i | ||||
\(127\) | 10.0877 | − | 0.814360i | 0.895135 | − | 0.0722628i | 0.375669 | − | 0.926754i | \(-0.377413\pi\) |
0.519466 | + | 0.854491i | \(0.326131\pi\) | |||||||
\(128\) | −9.33177 | − | 2.70298i | −0.824820 | − | 0.238912i | ||||
\(129\) | 7.06032 | + | 3.70554i | 0.621627 | + | 0.326255i | ||||
\(130\) | 0.662649 | − | 5.21858i | 0.0581182 | − | 0.457700i | ||||
\(131\) | −2.37100 | + | 1.24439i | −0.207155 | + | 0.108723i | −0.565110 | − | 0.825015i | \(-0.691166\pi\) |
0.357955 | + | 0.933739i | \(0.383474\pi\) | |||||||
\(132\) | 8.31056 | − | 1.69661i | 0.723341 | − | 0.147671i | ||||
\(133\) | −11.5785 | − | 8.70068i | −1.00398 | − | 0.754445i | ||||
\(134\) | −0.308166 | − | 7.64707i | −0.0266215 | − | 0.660606i | ||||
\(135\) | 1.80244 | − | 0.683575i | 0.155129 | − | 0.0588328i | ||||
\(136\) | 17.9624 | − | 5.20288i | 1.54026 | − | 0.446143i | ||||
\(137\) | 2.41866 | + | 0.493774i | 0.206640 | + | 0.0421859i | 0.302231 | − | 0.953235i | \(-0.402269\pi\) |
−0.0955903 | + | 0.995421i | \(0.530474\pi\) | |||||||
\(138\) | −2.78711 | − | 3.14599i | −0.237254 | − | 0.267805i | ||||
\(139\) | −2.34882 | + | 2.87678i | −0.199224 | + | 0.244006i | −0.864549 | − | 0.502549i | \(-0.832396\pi\) |
0.665324 | + | 0.746554i | \(0.268293\pi\) | |||||||
\(140\) | −0.279419 | + | 6.93372i | −0.0236153 | + | 0.586006i | ||||
\(141\) | −1.70934 | − | 5.12010i | −0.143952 | − | 0.431190i | ||||
\(142\) | −2.01165 | + | 1.78216i | −0.168814 | + | 0.149556i | ||||
\(143\) | 14.2973 | − | 15.9615i | 1.19560 | − | 1.33477i | ||||
\(144\) | −0.667044 | − | 0.590949i | −0.0555870 | − | 0.0492458i | ||||
\(145\) | 4.44666 | − | 10.4367i | 0.369275 | − | 0.866721i | ||||
\(146\) | 1.99283 | − | 3.45168i | 0.164927 | − | 0.285663i | ||||
\(147\) | −0.318935 | − | 0.552412i | −0.0263053 | − | 0.0455622i | ||||
\(148\) | −8.31015 | + | 1.00904i | −0.683091 | + | 0.0829422i | ||||
\(149\) | −4.96604 | − | 2.35642i | −0.406834 | − | 0.193045i | 0.214268 | − | 0.976775i | \(-0.431263\pi\) |
−0.621102 | + | 0.783730i | \(0.713315\pi\) | |||||||
\(150\) | −0.841564 | + | 0.485877i | −0.0687135 | + | 0.0396717i | ||||
\(151\) | 2.48946 | + | 1.71835i | 0.202589 | + | 0.139837i | 0.665040 | − | 0.746808i | \(-0.268414\pi\) |
−0.462451 | + | 0.886645i | \(0.653030\pi\) | |||||||
\(152\) | 13.7022 | − | 5.83796i | 1.11139 | − | 0.473521i | ||||
\(153\) | 7.11623 | + | 1.15650i | 0.575313 | + | 0.0934975i | ||||
\(154\) | 6.81589 | − | 9.07030i | 0.549240 | − | 0.730906i | ||||
\(155\) | 6.40431 | + | 16.8868i | 0.514407 | + | 1.35638i | ||||
\(156\) | −5.12671 | − | 0.442122i | −0.410465 | − | 0.0353981i | ||||
\(157\) | −5.81673 | + | 15.3375i | −0.464226 | + | 1.22406i | 0.474763 | + | 0.880114i | \(0.342534\pi\) |
−0.938988 | + | 0.343949i | \(0.888235\pi\) | |||||||
\(158\) | 0.548123 | + | 0.866788i | 0.0436064 | + | 0.0689579i | ||||
\(159\) | −8.81486 | − | 3.75566i | −0.699064 | − | 0.297843i | ||||
\(160\) | −9.55120 | − | 6.03981i | −0.755088 | − | 0.477489i | ||||
\(161\) | 13.9050 | + | 1.68837i | 1.09587 | + | 0.133062i | ||||
\(162\) | 0.296662 | + | 0.696290i | 0.0233079 | + | 0.0547057i | ||||
\(163\) | 2.39570 | − | 7.17601i | 0.187646 | − | 0.562068i | −0.812125 | − | 0.583484i | \(-0.801689\pi\) |
0.999771 | + | 0.0214157i | \(0.00681736\pi\) | |||||||
\(164\) | 4.56981 | + | 1.73310i | 0.356842 | + | 0.135332i | ||||
\(165\) | 11.4196 | + | 0.921887i | 0.889016 | + | 0.0717688i | ||||
\(166\) | 1.78287 | − | 6.15518i | 0.138377 | − | 0.477734i | ||||
\(167\) | 6.84155 | + | 0.275705i | 0.529415 | + | 0.0213347i | 0.303535 | − | 0.952820i | \(-0.401833\pi\) |
0.225880 | + | 0.974155i | \(0.427474\pi\) | |||||||
\(168\) | −6.54259 | −0.504771 | ||||||||
\(169\) | −11.0629 | + | 6.82739i | −0.850989 | + | 0.525183i | ||||
\(170\) | 10.5188 | 0.806752 | ||||||||
\(171\) | 5.73735 | + | 0.231207i | 0.438746 | + | 0.0176809i | ||||
\(172\) | 3.16605 | − | 10.9305i | 0.241409 | − | 0.833441i | ||||
\(173\) | −21.0388 | − | 1.69843i | −1.59955 | − | 0.129129i | −0.751751 | − | 0.659447i | \(-0.770790\pi\) |
−0.847799 | + | 0.530318i | \(0.822073\pi\) | |||||||
\(174\) | 4.16462 | + | 1.57943i | 0.315719 | + | 0.119736i | ||||
\(175\) | 1.02553 | − | 3.07185i | 0.0775230 | − | 0.232210i | ||||
\(176\) | −2.07599 | − | 4.87254i | −0.156484 | − | 0.367281i | ||||
\(177\) | 3.38885 | + | 0.411481i | 0.254721 | + | 0.0309288i | ||||
\(178\) | −0.153322 | − | 0.0969547i | −0.0114919 | − | 0.00726706i | ||||
\(179\) | −17.5553 | − | 7.47961i | −1.31214 | − | 0.559052i | −0.381293 | − | 0.924454i | \(-0.624521\pi\) |
−0.930850 | + | 0.365402i | \(0.880931\pi\) | |||||||
\(180\) | −1.47041 | − | 2.32526i | −0.109598 | − | 0.173315i | ||||
\(181\) | −5.08876 | + | 13.4180i | −0.378245 | + | 0.997349i | 0.601813 | + | 0.798637i | \(0.294445\pi\) |
−0.980058 | + | 0.198712i | \(0.936324\pi\) | |||||||
\(182\) | −5.52521 | + | 4.10481i | −0.409555 | + | 0.304268i | ||||
\(183\) | −0.118350 | − | 0.312063i | −0.00874867 | − | 0.0230683i | ||||
\(184\) | −8.65334 | + | 11.5155i | −0.637933 | + | 0.848935i | ||||
\(185\) | −11.1607 | − | 1.81379i | −0.820552 | − | 0.133353i | ||||
\(186\) | −6.52344 | + | 2.77938i | −0.478322 | + | 0.203794i | ||||
\(187\) | 35.2633 | + | 24.3405i | 2.57871 | + | 1.77995i | ||||
\(188\) | −6.67161 | + | 3.85186i | −0.486577 | + | 0.280926i | ||||
\(189\) | −2.27880 | − | 1.08130i | −0.165758 | − | 0.0786532i | ||||
\(190\) | 8.31648 | − | 1.00980i | 0.603341 | − | 0.0732588i | ||||
\(191\) | 11.8971 | + | 20.6063i | 0.860841 | + | 1.49102i | 0.871118 | + | 0.491074i | \(0.163396\pi\) |
−0.0102764 | + | 0.999947i | \(0.503271\pi\) | |||||||
\(192\) | 1.32726 | − | 2.29889i | 0.0957869 | − | 0.165908i | ||||
\(193\) | −1.39204 | + | 3.26725i | −0.100202 | + | 0.235182i | −0.962534 | − | 0.271161i | \(-0.912593\pi\) |
0.862333 | + | 0.506342i | \(0.169003\pi\) | |||||||
\(194\) | 0.200264 | + | 0.177418i | 0.0143781 | + | 0.0127379i | ||||
\(195\) | −6.48520 | − | 2.50019i | −0.464415 | − | 0.179042i | ||||
\(196\) | −0.681407 | + | 0.603674i | −0.0486720 | + | 0.0431196i | ||||
\(197\) | 1.71465 | + | 5.13600i | 0.122164 | + | 0.365925i | 0.991805 | − | 0.127759i | \(-0.0407783\pi\) |
−0.869642 | + | 0.493684i | \(0.835650\pi\) | |||||||
\(198\) | −0.181122 | + | 4.49449i | −0.0128718 | + | 0.319410i | ||||
\(199\) | 10.6201 | − | 13.0073i | 0.752839 | − | 0.922061i | −0.246046 | − | 0.969258i | \(-0.579131\pi\) |
0.998886 | + | 0.0471971i | \(0.0150289\pi\) | |||||||
\(200\) | 2.20844 | + | 2.49282i | 0.156161 | + | 0.176269i | ||||
\(201\) | −9.90760 | − | 2.02265i | −0.698828 | − | 0.142667i | ||||
\(202\) | −9.21732 | + | 2.66983i | −0.648529 | + | 0.187849i | ||||
\(203\) | −13.8792 | + | 5.26368i | −0.974128 | + | 0.369438i | ||||
\(204\) | −0.414310 | − | 10.2810i | −0.0290075 | − | 0.719813i | ||||
\(205\) | 5.27754 | + | 3.96582i | 0.368600 | + | 0.276985i | ||||
\(206\) | −11.4290 | + | 2.33324i | −0.796295 | + | 0.162565i | ||||
\(207\) | −4.91716 | + | 2.58073i | −0.341766 | + | 0.179373i | ||||
\(208\) | 0.369838 | + | 3.19177i | 0.0256437 | + | 0.221310i | ||||
\(209\) | 30.2170 | + | 15.8591i | 2.09016 | + | 1.09700i | ||||
\(210\) | −3.53477 | − | 1.02386i | −0.243922 | − | 0.0706529i | ||||
\(211\) | 10.4985 | − | 0.847524i | 0.722744 | − | 0.0583460i | 0.286380 | − | 0.958116i | \(-0.407548\pi\) |
0.436364 | + | 0.899770i | \(0.356266\pi\) | |||||||
\(212\) | −2.73526 | + | 13.3982i | −0.187859 | + | 0.920193i | ||||
\(213\) | 1.65020 | + | 3.14419i | 0.113070 | + | 0.215436i | ||||
\(214\) | 0.852815 | + | 1.13489i | 0.0582973 | + | 0.0775796i | ||||
\(215\) | 8.21521 | − | 12.9913i | 0.560273 | − | 0.886001i | ||||
\(216\) | 2.13471 | − | 1.47349i | 0.145249 | − | 0.100258i | ||||
\(217\) | 10.1306 | − | 21.3497i | 0.687708 | − | 1.44931i | ||||
\(218\) | −0.558926 | + | 0.581904i | −0.0378552 | + | 0.0394115i | ||||
\(219\) | −3.79791 | − | 3.64794i | −0.256639 | − | 0.246505i | ||||
\(220\) | −1.97087 | − | 16.2316i | −0.132876 | − | 1.09433i | ||||
\(221\) | −16.3297 | − | 20.2252i | −1.09846 | − | 1.36049i | ||||
\(222\) | 0.535109 | − | 4.40702i | 0.0359142 | − | 0.295780i | ||||
\(223\) | −6.34238 | + | 5.17839i | −0.424717 | + | 0.346771i | −0.820573 | − | 0.571542i | \(-0.806345\pi\) |
0.395856 | + | 0.918313i | \(0.370448\pi\) | |||||||
\(224\) | 2.95767 | + | 14.4876i | 0.197617 | + | 0.967994i | ||||
\(225\) | 0.357214 | + | 1.23325i | 0.0238143 | + | 0.0822164i | ||||
\(226\) | −0.543312 | − | 2.20430i | −0.0361405 | − | 0.146628i | ||||
\(227\) | −2.24673 | + | 27.8307i | −0.149120 | + | 1.84719i | 0.300273 | + | 0.953853i | \(0.402922\pi\) |
−0.449393 | + | 0.893334i | \(0.648360\pi\) | |||||||
\(228\) | −1.31454 | − | 8.08871i | −0.0870577 | − | 0.535688i | ||||
\(229\) | −0.172303 | + | 0.194490i | −0.0113861 | + | 0.0128523i | −0.754176 | − | 0.656672i | \(-0.771964\pi\) |
0.742790 | + | 0.669524i | \(0.233502\pi\) | |||||||
\(230\) | −6.47722 | + | 4.86732i | −0.427095 | + | 0.320941i | ||||
\(231\) | −9.48080 | − | 11.6119i | −0.623791 | − | 0.764005i | ||||
\(232\) | 2.44865 | − | 15.0672i | 0.160762 | − | 0.989207i | ||||
\(233\) | −3.76625 | − | 0.928298i | −0.246735 | − | 0.0608148i | 0.114008 | − | 0.993480i | \(-0.463631\pi\) |
−0.360744 | + | 0.932665i | \(0.617477\pi\) | |||||||
\(234\) | 0.878300 | − | 2.58367i | 0.0574163 | − | 0.168900i | ||||
\(235\) | −10.1032 | + | 2.49021i | −0.659060 | + | 0.162444i | ||||
\(236\) | −0.392032 | − | 4.85619i | −0.0255191 | − | 0.316111i | ||||
\(237\) | 1.28529 | − | 0.429092i | 0.0834884 | − | 0.0278725i | ||||
\(238\) | −9.53422 | − | 9.92617i | −0.618011 | − | 0.643418i | ||||
\(239\) | − | 20.0145i | − | 1.29463i | −0.762223 | − | 0.647314i | \(-0.775892\pi\) | ||
0.762223 | − | 0.647314i | \(-0.224108\pi\) | |||||||
\(240\) | −1.23895 | + | 1.19003i | −0.0799741 | + | 0.0768161i | ||||
\(241\) | −19.8372 | − | 16.1966i | −1.27783 | − | 1.04331i | −0.996491 | − | 0.0837021i | \(-0.973326\pi\) |
−0.281334 | − | 0.959610i | \(-0.590777\pi\) | |||||||
\(242\) | −8.55462 | + | 16.2995i | −0.549912 | + | 1.04777i | ||||
\(243\) | 0.987050 | − | 0.160411i | 0.0633193 | − | 0.0102904i | ||||
\(244\) | −0.402581 | + | 0.254577i | −0.0257726 | + | 0.0162976i | ||||
\(245\) | −1.11091 | + | 0.527133i | −0.0709734 | + | 0.0336773i | ||||
\(246\) | −1.47236 | + | 2.13308i | −0.0938740 | + | 0.136000i | ||||
\(247\) | −14.8524 | − | 14.4230i | −0.945037 | − | 0.917716i | ||||
\(248\) | 13.8049 | + | 19.9998i | 0.876610 | + | 1.26999i | ||||
\(249\) | −7.33252 | − | 4.23343i | −0.464679 | − | 0.268283i | ||||
\(250\) | 3.93035 | + | 8.28305i | 0.248577 | + | 0.523866i | ||||
\(251\) | 0.331067 | + | 0.110526i | 0.0208968 | + | 0.00697636i | 0.327097 | − | 0.944991i | \(-0.393930\pi\) |
−0.306200 | + | 0.951967i | \(0.599058\pi\) | |||||||
\(252\) | −0.861487 | + | 3.49519i | −0.0542686 | + | 0.220176i | ||||
\(253\) | −32.9774 | + | 1.32894i | −2.07327 | + | 0.0835499i | ||||
\(254\) | 7.65352 | − | 0.308426i | 0.480224 | − | 0.0193524i | ||||
\(255\) | 3.32601 | − | 13.4942i | 0.208283 | − | 0.845037i | ||||
\(256\) | −12.0105 | − | 4.00970i | −0.750657 | − | 0.250606i | ||||
\(257\) | −3.97917 | − | 8.38593i | −0.248214 | − | 0.523100i | 0.740656 | − | 0.671885i | \(-0.234515\pi\) |
−0.988870 | + | 0.148785i | \(0.952464\pi\) | |||||||
\(258\) | 5.22637 | + | 3.01745i | 0.325380 | + | 0.187858i | ||||
\(259\) | 8.40447 | + | 12.1760i | 0.522228 | + | 0.756578i | ||||
\(260\) | −1.64475 | + | 9.78218i | −0.102003 | + | 0.606665i | ||||
\(261\) | 3.34304 | − | 4.84323i | 0.206929 | − | 0.299788i | ||||
\(262\) | −1.83097 | + | 0.868805i | −0.113118 | + | 0.0536749i | ||||
\(263\) | −1.05436 | + | 0.666734i | −0.0650144 | + | 0.0411126i | −0.566578 | − | 0.824008i | \(-0.691733\pi\) |
0.501563 | + | 0.865121i | \(0.332758\pi\) | |||||||
\(264\) | 15.2163 | − | 2.47288i | 0.936497 | − | 0.152196i | ||||
\(265\) | −8.58367 | + | 16.3548i | −0.527291 | + | 1.00467i | ||||
\(266\) | −8.49098 | − | 6.93267i | −0.520615 | − | 0.425069i | ||||
\(267\) | −0.172860 | + | 0.166034i | −0.0105788 | + | 0.0101611i | ||||
\(268\) | 14.4315i | 0.881544i | ||||||||
\(269\) | −7.78430 | − | 8.10431i | −0.474617 | − | 0.494129i | 0.440255 | − | 0.897873i | \(-0.354888\pi\) |
−0.914872 | + | 0.403744i | \(0.867709\pi\) | |||||||
\(270\) | 1.38391 | − | 0.462017i | 0.0842221 | − | 0.0281175i | ||||
\(271\) | −2.33865 | − | 28.9693i | −0.142063 | − | 1.75976i | −0.539363 | − | 0.842074i | \(-0.681335\pi\) |
0.397300 | − | 0.917689i | \(-0.369947\pi\) | |||||||
\(272\) | −6.23822 | + | 1.53758i | −0.378247 | + | 0.0932296i | ||||
\(273\) | 3.51885 | + | 8.38602i | 0.212971 | + | 0.507545i | ||||
\(274\) | 1.81404 | + | 0.447121i | 0.109590 | + | 0.0270116i | ||||
\(275\) | −1.22405 | + | 7.53190i | −0.0738132 | + | 0.454191i | ||||
\(276\) | 5.01241 | + | 6.13909i | 0.301712 | + | 0.369530i | ||||
\(277\) | −16.5290 | + | 12.4208i | −0.993132 | + | 0.746291i | −0.967367 | − | 0.253377i | \(-0.918459\pi\) |
−0.0257649 | + | 0.999668i | \(0.508202\pi\) | |||||||
\(278\) | −1.86395 | + | 2.10396i | −0.111792 | + | 0.126187i | ||||
\(279\) | 1.50287 | + | 9.24753i | 0.0899745 | + | 0.553635i | ||||
\(280\) | −1.01486 | + | 12.5713i | −0.0606495 | + | 0.751279i | ||||
\(281\) | 1.93924 | + | 7.86781i | 0.115685 | + | 0.469354i | 0.999997 | + | 0.00245699i | \(0.000782084\pi\) |
−0.884312 | + | 0.466897i | \(0.845372\pi\) | |||||||
\(282\) | −1.13663 | − | 3.92412i | −0.0676856 | − | 0.233678i | ||||
\(283\) | 6.55475 | + | 32.1073i | 0.389639 | + | 1.90858i | 0.416903 | + | 0.908951i | \(0.363116\pi\) |
−0.0272636 | + | 0.999628i | \(0.508679\pi\) | |||||||
\(284\) | 3.92553 | − | 3.20509i | 0.232937 | − | 0.190187i | ||||
\(285\) | 1.33421 | − | 10.9882i | 0.0790318 | − | 0.650886i | ||||
\(286\) | 11.2986 | − | 11.6350i | 0.668103 | − | 0.687992i | ||||
\(287\) | −1.04117 | − | 8.57484i | −0.0614586 | − | 0.506157i | ||||
\(288\) | −4.22785 | − | 4.06090i | −0.249128 | − | 0.239291i | ||||
\(289\) | 24.2303 | − | 25.2264i | 1.42531 | − | 1.48391i | ||||
\(290\) | 3.68081 | − | 7.75714i | 0.216145 | − | 0.455515i | ||||
\(291\) | 0.290927 | − | 0.200812i | 0.0170544 | − | 0.0117718i | ||||
\(292\) | −4.01683 | + | 6.35210i | −0.235067 | + | 0.371729i | ||||
\(293\) | −9.14001 | − | 12.1631i | −0.533965 | − | 0.710579i | 0.449173 | − | 0.893445i | \(-0.351719\pi\) |
−0.983138 | + | 0.182866i | \(0.941462\pi\) | |||||||
\(294\) | −0.224357 | − | 0.427476i | −0.0130848 | − | 0.0249309i | ||||
\(295\) | 1.31631 | − | 6.44770i | 0.0766384 | − | 0.375400i | ||||
\(296\) | −15.1652 | + | 1.22426i | −0.881460 | + | 0.0711588i | ||||
\(297\) | 5.70856 | + | 1.65350i | 0.331244 | + | 0.0959460i | ||||
\(298\) | −3.68371 | − | 1.93336i | −0.213392 | − | 0.111997i | ||||
\(299\) | 19.4142 | + | 4.89802i | 1.12275 | + | 0.283260i | ||||
\(300\) | 1.62251 | − | 0.851559i | 0.0936757 | − | 0.0491648i | ||||
\(301\) | −19.7057 | + | 4.02295i | −1.13582 | + | 0.231879i | ||||
\(302\) | 1.83026 | + | 1.37535i | 0.105320 | + | 0.0791427i | ||||
\(303\) | 0.510534 | + | 12.6688i | 0.0293294 | + | 0.727802i | ||||
\(304\) | −4.78453 | + | 1.81453i | −0.274412 | + | 0.104071i | ||||
\(305\) | −0.617973 | + | 0.178998i | −0.0353851 | + | 0.0102494i | ||||
\(306\) | 5.34634 | + | 1.09146i | 0.305630 | + | 0.0623948i | ||||
\(307\) | −17.1523 | − | 19.3610i | −0.978934 | − | 1.10499i | −0.994461 | − | 0.105108i | \(-0.966481\pi\) |
0.0155270 | − | 0.999879i | \(-0.495057\pi\) | |||||||
\(308\) | −13.5307 | + | 16.5721i | −0.770985 | + | 0.944285i | ||||
\(309\) | −0.620583 | + | 15.3996i | −0.0353037 | + | 0.876053i | ||||
\(310\) | 4.32857 | + | 12.9656i | 0.245846 | + | 0.736399i | ||||
\(311\) | 25.4003 | − | 22.5027i | 1.44032 | − | 1.27601i | 0.539382 | − | 0.842061i | \(-0.318658\pi\) |
0.900937 | − | 0.433950i | \(-0.142881\pi\) | |||||||
\(312\) | −9.27783 | − | 1.17809i | −0.525254 | − | 0.0666961i | ||||
\(313\) | −1.31137 | − | 1.16178i | −0.0741232 | − | 0.0656675i | 0.625248 | − | 0.780426i | \(-0.284998\pi\) |
−0.699371 | + | 0.714759i | \(0.746536\pi\) | |||||||
\(314\) | −4.86626 | + | 11.4215i | −0.274619 | + | 0.644555i | ||||
\(315\) | −2.43116 | + | 4.21088i | −0.136980 | + | 0.237256i | ||||
\(316\) | −0.966924 | − | 1.67476i | −0.0543937 | − | 0.0942127i | ||||
\(317\) | −21.6736 | + | 2.63165i | −1.21731 | + | 0.147808i | −0.703878 | − | 0.710321i | \(-0.748550\pi\) |
−0.513434 | + | 0.858129i | \(0.671627\pi\) | |||||||
\(318\) | −6.55170 | − | 3.10882i | −0.367401 | − | 0.174334i | ||||
\(319\) | 30.2897 | − | 17.4878i | 1.69590 | − | 0.979128i | ||||
\(320\) | −4.21133 | − | 2.90687i | −0.235421 | − | 0.162499i | ||||
\(321\) | 1.72557 | − | 0.735197i | 0.0963119 | − | 0.0410347i | ||||
\(322\) | 10.4641 | + | 1.70058i | 0.583140 | + | 0.0947694i | ||||
\(323\) | 24.8693 | − | 33.0950i | 1.38376 | − | 1.84145i | ||||
\(324\) | −0.506082 | − | 1.33443i | −0.0281157 | − | 0.0741349i | ||||
\(325\) | 2.00741 | − | 4.17143i | 0.111351 | − | 0.231389i | ||||
\(326\) | 2.03042 | − | 5.35378i | 0.112455 | − | 0.296518i | ||||
\(327\) | 0.569772 | + | 0.901023i | 0.0315085 | + | 0.0498267i | ||||
\(328\) | 8.17202 | + | 3.48177i | 0.451224 | + | 0.192249i | ||||
\(329\) | 11.5075 | + | 7.27688i | 0.634427 | + | 0.401187i | ||||
\(330\) | 8.60789 | + | 1.04519i | 0.473849 | + | 0.0575356i | ||||
\(331\) | −11.8623 | − | 27.8418i | −0.652010 | − | 1.53032i | −0.836778 | − | 0.547543i | \(-0.815563\pi\) |
0.184767 | − | 0.982782i | \(-0.440847\pi\) | |||||||
\(332\) | −3.82651 | + | 11.4618i | −0.210007 | + | 0.629048i | ||||
\(333\) | −5.48441 | − | 2.07996i | −0.300544 | − | 0.113981i | ||||
\(334\) | 5.16546 | + | 0.416999i | 0.282641 | + | 0.0228172i | ||||
\(335\) | −5.42327 | + | 18.7233i | −0.296305 | + | 1.02296i | ||||
\(336\) | 2.24598 | + | 0.0905097i | 0.122528 | + | 0.00493771i | ||||
\(337\) | 31.2104 | 1.70014 | 0.850070 | − | 0.526670i | \(-0.176560\pi\) | ||||
0.850070 | + | 0.526670i | \(0.176560\pi\) | |||||||
\(338\) | −8.57425 | + | 4.82600i | −0.466378 | + | 0.262500i | ||||
\(339\) | −2.99961 | −0.162917 | ||||||||
\(340\) | −19.8187 | − | 0.798668i | −1.07482 | − | 0.0433139i | ||||
\(341\) | −15.4914 | + | 53.4826i | −0.838908 | + | 2.89625i | ||||
\(342\) | 4.33177 | + | 0.349697i | 0.234235 | + | 0.0189094i | ||||
\(343\) | 18.0133 | + | 6.83153i | 0.972625 | + | 0.368868i | ||||
\(344\) | 6.54953 | − | 19.6182i | 0.353127 | − | 1.05774i | ||||
\(345\) | 4.19603 | + | 9.84843i | 0.225906 | + | 0.530222i | ||||
\(346\) | −15.8586 | − | 1.92559i | −0.852565 | − | 0.103520i | ||||
\(347\) | −12.0390 | − | 7.61303i | −0.646290 | − | 0.408689i | 0.170714 | − | 0.985321i | \(-0.445392\pi\) |
−0.817004 | + | 0.576631i | \(0.804367\pi\) | |||||||
\(348\) | −7.72677 | − | 3.29207i | −0.414198 | − | 0.176473i | ||||
\(349\) | 6.74596 | + | 10.6679i | 0.361103 | + | 0.571039i | 0.976055 | − | 0.217526i | \(-0.0697987\pi\) |
−0.614951 | + | 0.788565i | \(0.710824\pi\) | |||||||
\(350\) | 0.869166 | − | 2.29180i | 0.0464589 | − | 0.122502i | ||||
\(351\) | −3.03678 | − | 1.94369i | −0.162092 | − | 0.103747i | ||||
\(352\) | −12.3546 | − | 32.5763i | −0.658501 | − | 1.73632i | ||||
\(353\) | −13.4521 | + | 17.9015i | −0.715983 | + | 0.952800i | −0.999982 | − | 0.00602480i | \(-0.998082\pi\) |
0.283999 | + | 0.958824i | \(0.408339\pi\) | |||||||
\(354\) | 2.55024 | + | 0.414455i | 0.135544 | + | 0.0220280i | ||||
\(355\) | 6.29740 | − | 2.68307i | 0.334231 | − | 0.142403i | ||||
\(356\) | 0.281517 | + | 0.194317i | 0.0149204 | + | 0.0102988i | ||||
\(357\) | −15.7486 | + | 9.09248i | −0.833506 | + | 0.481225i | ||||
\(358\) | −13.0481 | − | 6.19139i | −0.689612 | − | 0.327225i | ||||
\(359\) | −15.7432 | + | 1.91157i | −0.830893 | + | 0.100889i | −0.524920 | − | 0.851152i | \(-0.675905\pi\) |
−0.305973 | + | 0.952040i | \(0.598982\pi\) | |||||||
\(360\) | −2.50011 | − | 4.33032i | −0.131768 | − | 0.228228i | ||||
\(361\) | 6.98533 | − | 12.0989i | 0.367649 | − | 0.636787i | ||||
\(362\) | −4.25724 | + | 9.99212i | −0.223756 | + | 0.525174i | ||||
\(363\) | 18.2051 | + | 16.1283i | 0.955518 | + | 0.846515i | ||||
\(364\) | 10.7219 | − | 7.31448i | 0.561980 | − | 0.383383i | ||||
\(365\) | −7.59848 | + | 6.73166i | −0.397722 | + | 0.352351i | ||||
\(366\) | −0.0799907 | − | 0.239601i | −0.00418118 | − | 0.0125242i | ||||
\(367\) | −0.134917 | + | 3.34794i | −0.00704264 | + | 0.174761i | 0.991840 | + | 0.127492i | \(0.0406928\pi\) |
−0.998882 | + | 0.0472689i | \(0.984948\pi\) | |||||||
\(368\) | 3.12987 | − | 3.83340i | 0.163156 | − | 0.199830i | ||||
\(369\) | 2.27089 | + | 2.56331i | 0.118218 | + | 0.133441i | ||||
\(370\) | −8.38490 | − | 1.71179i | −0.435910 | − | 0.0889918i | ||||
\(371\) | 23.2137 | − | 6.72393i | 1.20519 | − | 0.349089i | ||||
\(372\) | 12.5021 | − | 4.74141i | 0.648202 | − | 0.245831i | ||||
\(373\) | −0.624197 | − | 15.4893i | −0.0323197 | − | 0.802006i | −0.931351 | − | 0.364122i | \(-0.881369\pi\) |
0.899032 | − | 0.437884i | \(-0.144272\pi\) | |||||||
\(374\) | 25.9258 | + | 19.4819i | 1.34059 | + | 1.00739i | ||||
\(375\) | 11.8688 | − | 2.42303i | 0.612902 | − | 0.125125i | ||||
\(376\) | −12.3976 | + | 6.50679i | −0.639360 | + | 0.335562i | ||||
\(377\) | −20.6294 | + | 4.96511i | −1.06247 | + | 0.255716i | ||||
\(378\) | −1.69037 | − | 0.887172i | −0.0869430 | − | 0.0456312i | ||||
\(379\) | 22.9619 | + | 6.65099i | 1.17947 | + | 0.341638i | 0.809340 | − | 0.587341i | \(-0.199825\pi\) |
0.370132 | + | 0.928979i | \(0.379312\pi\) | |||||||
\(380\) | −15.7460 | + | 1.27115i | −0.807754 | + | 0.0652086i | ||||
\(381\) | 2.02436 | − | 9.91595i | 0.103711 | − | 0.508009i | ||||
\(382\) | 8.36906 | + | 15.9459i | 0.428198 | + | 0.815864i | ||||
\(383\) | 3.42361 | + | 4.55599i | 0.174938 | + | 0.232800i | 0.878392 | − | 0.477940i | \(-0.158616\pi\) |
−0.703454 | + | 0.710740i | \(0.748360\pi\) | |||||||
\(384\) | −5.19252 | + | 8.21132i | −0.264980 | + | 0.419032i | ||||
\(385\) | −23.7824 | + | 16.4158i | −1.21206 | + | 0.836625i | ||||
\(386\) | −1.15229 | + | 2.42840i | −0.0586501 | + | 0.123602i | ||||
\(387\) | 5.52355 | − | 5.75062i | 0.280778 | − | 0.292320i | ||||
\(388\) | −0.363853 | − | 0.349485i | −0.0184718 | − | 0.0177424i | ||||
\(389\) | 2.51038 | + | 20.6748i | 0.127281 | + | 1.04825i | 0.906707 | + | 0.421761i | \(0.138588\pi\) |
−0.779426 | + | 0.626494i | \(0.784489\pi\) | |||||||
\(390\) | −4.82818 | − | 2.08839i | −0.244484 | − | 0.105750i | ||||
\(391\) | −4.82589 | + | 39.7448i | −0.244056 | + | 2.00998i | ||||
\(392\) | −1.28163 | + | 1.04641i | −0.0647319 | + | 0.0528519i | ||||
\(393\) | 0.535611 | + | 2.62360i | 0.0270180 | + | 0.132343i | ||||
\(394\) | 1.14016 | + | 3.93630i | 0.0574407 | + | 0.198308i | ||||
\(395\) | −0.625113 | − | 2.53618i | −0.0314529 | − | 0.127609i | ||||
\(396\) | 0.682515 | − | 8.45447i | 0.0342977 | − | 0.424853i | ||||
\(397\) | −0.297525 | − | 1.83075i | −0.0149324 | − | 0.0918826i | 0.978514 | − | 0.206179i | \(-0.0661028\pi\) |
−0.993447 | + | 0.114296i | \(0.963539\pi\) | |||||||
\(398\) | 8.42776 | − | 9.51297i | 0.422445 | − | 0.476842i | ||||
\(399\) | −11.5785 | + | 8.70068i | −0.579650 | + | 0.435579i | ||||
\(400\) | −0.723642 | − | 0.886300i | −0.0361821 | − | 0.0443150i | ||||
\(401\) | 2.20811 | − | 13.5871i | 0.110268 | − | 0.678506i | −0.871783 | − | 0.489892i | \(-0.837036\pi\) |
0.982051 | − | 0.188614i | \(-0.0603996\pi\) | |||||||
\(402\) | −7.43089 | − | 1.83155i | −0.370619 | − | 0.0913494i | ||||
\(403\) | 18.2102 | − | 28.4512i | 0.907113 | − | 1.41725i | ||||
\(404\) | 17.5694 | − | 4.33046i | 0.874109 | − | 0.215448i | ||||
\(405\) | −0.155116 | − | 1.92146i | −0.00770778 | − | 0.0954780i | ||||
\(406\) | −10.6564 | + | 3.55764i | −0.528869 | + | 0.176563i | ||||
\(407\) | −24.1486 | − | 25.1414i | −1.19700 | − | 1.24621i | ||||
\(408\) | − | 18.7008i | − | 0.925825i | ||||||
\(409\) | 1.31462 | − | 1.26271i | 0.0650039 | − | 0.0624371i | −0.659519 | − | 0.751688i | \(-0.729240\pi\) |
0.724523 | + | 0.689251i | \(0.242060\pi\) | |||||||
\(410\) | 3.87023 | + | 3.15995i | 0.191137 | + | 0.156059i | ||||
\(411\) | 1.14719 | − | 2.18579i | 0.0565868 | − | 0.107817i | ||||
\(412\) | 21.7109 | − | 3.52836i | 1.06962 | − | 0.173830i | ||||
\(413\) | −7.27756 | + | 4.60205i | −0.358105 | + | 0.226452i | ||||
\(414\) | −3.79721 | + | 1.80180i | −0.186623 | + | 0.0885535i | ||||
\(415\) | −9.27175 | + | 13.4325i | −0.455132 | + | 0.659373i | ||||
\(416\) | 1.58547 | + | 21.0770i | 0.0777339 | + | 1.03338i | ||||
\(417\) | 2.10972 | + | 3.05646i | 0.103313 | + | 0.149675i | ||||
\(418\) | 22.3680 | + | 12.9142i | 1.09406 | + | 0.631653i | ||||
\(419\) | −3.01888 | − | 6.36214i | −0.147482 | − | 0.310811i | 0.816243 | − | 0.577708i | \(-0.196053\pi\) |
−0.963725 | + | 0.266897i | \(0.914002\pi\) | |||||||
\(420\) | 6.58223 | + | 2.19747i | 0.321180 | + | 0.107226i | ||||
\(421\) | 3.11877 | − | 12.6533i | 0.151999 | − | 0.616686i | −0.844681 | − | 0.535270i | \(-0.820210\pi\) |
0.996680 | − | 0.0814156i | \(-0.0259441\pi\) | |||||||
\(422\) | 7.96520 | − | 0.320986i | 0.387740 | − | 0.0156254i | ||||
\(423\) | −5.39351 | + | 0.217351i | −0.262242 | + | 0.0105680i | ||||
\(424\) | −5.94780 | + | 24.1312i | −0.288851 | + | 1.17191i | ||||
\(425\) | 8.78030 | + | 2.93130i | 0.425907 | + | 0.142189i | ||||
\(426\) | 1.15213 | + | 2.42805i | 0.0558207 | + | 0.117640i | ||||
\(427\) | 0.729046 | + | 0.420915i | 0.0352810 | + | 0.0203695i | ||||
\(428\) | −1.52065 | − | 2.20304i | −0.0735033 | − | 0.106488i | ||||
\(429\) | −11.3535 | − | 18.1736i | −0.548154 | − | 0.877429i | ||||
\(430\) | 6.60860 | − | 9.57420i | 0.318695 | − | 0.461709i | ||||
\(431\) | 12.8694 | − | 6.10661i | 0.619898 | − | 0.294145i | −0.0927259 | − | 0.995692i | \(-0.529558\pi\) |
0.712624 | + | 0.701547i | \(0.247507\pi\) | |||||||
\(432\) | −0.753200 | + | 0.476295i | −0.0362384 | + | 0.0229158i | ||||
\(433\) | −4.99258 | + | 0.811374i | −0.239928 | + | 0.0389921i | −0.279186 | − | 0.960237i | \(-0.590065\pi\) |
0.0392580 | + | 0.999229i | \(0.487501\pi\) | |||||||
\(434\) | 8.31179 | − | 15.8368i | 0.398979 | − | 0.760190i | ||||
\(435\) | −8.78750 | − | 7.17477i | −0.421329 | − | 0.344004i | ||||
\(436\) | 1.09727 | − | 1.05395i | 0.0525499 | − | 0.0504748i | ||||
\(437\) | 31.8868i | 1.52535i | ||||||||
\(438\) | −2.76096 | − | 2.87446i | −0.131924 | − | 0.137347i | ||||
\(439\) | 5.89299 | − | 1.96737i | 0.281257 | − | 0.0938973i | −0.172540 | − | 0.985003i | \(-0.555197\pi\) |
0.453797 | + | 0.891105i | \(0.350069\pi\) | |||||||
\(440\) | −2.39126 | − | 29.6210i | −0.113999 | − | 1.41213i | ||||
\(441\) | −0.619335 | + | 0.152652i | −0.0294922 | + | 0.00726917i | ||||
\(442\) | −11.7328 | − | 15.7928i | −0.558073 | − | 0.751185i | ||||
\(443\) | −8.33812 | − | 2.05516i | −0.396156 | − | 0.0976436i | 0.0362049 | − | 0.999344i | \(-0.488473\pi\) |
−0.432361 | + | 0.901701i | \(0.642319\pi\) | |||||||
\(444\) | −1.34283 | + | 8.26279i | −0.0637281 | + | 0.392134i | ||||
\(445\) | 0.292214 | + | 0.357897i | 0.0138523 | + | 0.0169660i | ||||
\(446\) | −4.95418 | + | 3.72282i | −0.234587 | + | 0.176281i | ||||
\(447\) | −3.64502 | + | 4.11438i | −0.172404 | + | 0.194603i | ||||
\(448\) | 1.07405 | + | 6.60887i | 0.0507439 | + | 0.312240i | ||||
\(449\) | 0.542835 | − | 6.72421i | 0.0256179 | − | 0.317335i | −0.971239 | − | 0.238108i | \(-0.923473\pi\) |
0.996857 | − | 0.0792271i | \(-0.0252452\pi\) | |||||||
\(450\) | 0.232556 | + | 0.943518i | 0.0109628 | + | 0.0444778i | ||||
\(451\) | 5.66250 | + | 19.5492i | 0.266637 | + | 0.920537i | ||||
\(452\) | 0.856303 | + | 4.19445i | 0.0402771 | + | 0.197290i | ||||
\(453\) | 2.34312 | − | 1.91310i | 0.110089 | − | 0.0898851i | ||||
\(454\) | −2.54722 | + | 20.9782i | −0.119547 | + | 0.984557i | ||||
\(455\) | 16.6592 | − | 5.46052i | 0.780996 | − | 0.255993i | ||||
\(456\) | −1.79528 | − | 14.7854i | −0.0840715 | − | 0.692391i | ||||
\(457\) | −16.7882 | − | 16.1253i | −0.785319 | − | 0.754309i | 0.188392 | − | 0.982094i | \(-0.439672\pi\) |
−0.973712 | + | 0.227785i | \(0.926852\pi\) | |||||||
\(458\) | −0.136230 | + | 0.141830i | −0.00636560 | + | 0.00662729i | ||||
\(459\) | 3.09070 | − | 6.51351i | 0.144262 | − | 0.304025i | ||||
\(460\) | 12.5735 | − | 8.67887i | 0.586243 | − | 0.404654i | ||||
\(461\) | 4.63538 | − | 7.33026i | 0.215891 | − | 0.341404i | −0.719827 | − | 0.694154i | \(-0.755779\pi\) |
0.935718 | + | 0.352749i | \(0.114753\pi\) | |||||||
\(462\) | −6.81589 | − | 9.07030i | −0.317104 | − | 0.421989i | ||||
\(463\) | −12.1422 | − | 23.1350i | −0.564295 | − | 1.07517i | −0.985733 | − | 0.168316i | \(-0.946167\pi\) |
0.421438 | − | 0.906857i | \(-0.361525\pi\) | |||||||
\(464\) | −1.04902 | + | 5.13846i | −0.0486998 | + | 0.238547i | ||||
\(465\) | 18.0019 | − | 1.45326i | 0.834816 | − | 0.0673933i | ||||
\(466\) | −2.81990 | − | 0.816795i | −0.130629 | − | 0.0378373i | ||||
\(467\) | 24.1228 | + | 12.6606i | 1.11627 | + | 0.585864i | 0.918910 | − | 0.394467i | \(-0.129071\pi\) |
0.197361 | + | 0.980331i | \(0.436763\pi\) | |||||||
\(468\) | −1.85101 | + | 4.80129i | −0.0855628 | + | 0.221940i | ||||
\(469\) | 22.5841 | − | 11.8531i | 1.04284 | − | 0.547324i | ||||
\(470\) | −7.71634 | + | 1.57530i | −0.355928 | + | 0.0726632i | ||||
\(471\) | 13.1136 | + | 9.85422i | 0.604242 | + | 0.454059i | ||||
\(472\) | −0.356547 | − | 8.84761i | −0.0164114 | − | 0.407244i | ||||
\(473\) | 44.3096 | − | 16.8044i | 2.03736 | − | 0.772667i | ||||
\(474\) | 0.985063 | − | 0.285327i | 0.0452454 | − | 0.0131055i | ||||
\(475\) | 7.22340 | + | 1.47467i | 0.331432 | + | 0.0676624i | ||||
\(476\) | 17.2101 | + | 19.4261i | 0.788821 | + | 0.890395i | ||||
\(477\) | −6.05983 | + | 7.42194i | −0.277460 | + | 0.339827i | ||||
\(478\) | 0.609950 | − | 15.1357i | 0.0278985 | − | 0.692293i | ||||
\(479\) | 1.81495 | + | 5.43644i | 0.0829272 | + | 0.248397i | 0.981834 | − | 0.189743i | \(-0.0607655\pi\) |
−0.898907 | + | 0.438140i | \(0.855637\pi\) | |||||||
\(480\) | −8.45866 | + | 7.49372i | −0.386083 | + | 0.342040i | ||||
\(481\) | 9.72565 | + | 18.7797i | 0.443451 | + | 0.856281i | ||||
\(482\) | −14.5081 | − | 12.8530i | −0.660825 | − | 0.585440i | ||||
\(483\) | 5.49032 | − | 12.8863i | 0.249818 | − | 0.586345i | ||||
\(484\) | 17.3556 | − | 30.0608i | 0.788892 | − | 1.36640i | ||||
\(485\) | −0.340725 | − | 0.590153i | −0.0154715 | − | 0.0267975i | ||||
\(486\) | 0.751336 | − | 0.0912287i | 0.0340813 | − | 0.00413822i | ||||
\(487\) | 33.9785 | + | 16.1230i | 1.53971 | + | 0.730602i | 0.994205 | − | 0.107504i | \(-0.0342857\pi\) |
0.545507 | + | 0.838106i | \(0.316337\pi\) | |||||||
\(488\) | −0.749724 | + | 0.432854i | −0.0339384 | + | 0.0195944i | ||||
\(489\) | −6.22616 | − | 4.29761i | −0.281557 | − | 0.194344i | ||||
\(490\) | −0.856179 | + | 0.364784i | −0.0386782 | + | 0.0164793i | ||||
\(491\) | −1.65240 | − | 0.268541i | −0.0745717 | − | 0.0121191i | 0.123011 | − | 0.992405i | \(-0.460745\pi\) |
−0.197583 | + | 0.980286i | \(0.563309\pi\) | |||||||
\(492\) | 2.93608 | − | 3.90721i | 0.132369 | − | 0.176150i | ||||
\(493\) | −15.0453 | − | 39.6711i | −0.677604 | − | 1.78670i | ||||
\(494\) | −10.7925 | − | 11.3599i | −0.485576 | − | 0.511107i | ||||
\(495\) | 4.06263 | − | 10.7123i | 0.182602 | − | 0.481481i | ||||
\(496\) | −4.46234 | − | 7.05662i | −0.200365 | − | 0.316852i | ||||
\(497\) | −8.23988 | − | 3.51068i | −0.369609 | − | 0.157476i | ||||
\(498\) | −5.41613 | − | 3.42495i | −0.242703 | − | 0.153476i | ||||
\(499\) | −16.8282 | − | 2.04331i | −0.753333 | − | 0.0914712i | −0.265144 | − | 0.964209i | \(-0.585419\pi\) |
−0.488189 | + | 0.872738i | \(0.662342\pi\) | |||||||
\(500\) | −6.77639 | − | 15.9048i | −0.303050 | − | 0.711283i | ||||
\(501\) | 2.16826 | − | 6.49473i | 0.0968707 | − | 0.290163i | ||||
\(502\) | 0.246998 | + | 0.0936740i | 0.0110241 | + | 0.00418087i | ||||
\(503\) | 1.66683 | + | 0.134561i | 0.0743204 | + | 0.00599977i | 0.117571 | − | 0.993064i | \(-0.462489\pi\) |
−0.0432504 | + | 0.999064i | \(0.513771\pi\) | |||||||
\(504\) | −1.82026 | + | 6.28427i | −0.0810809 | + | 0.279924i | ||||
\(505\) | 24.4217 | + | 0.984161i | 1.08675 | + | 0.0437946i | ||||
\(506\) | −24.9793 | −1.11047 | ||||||||
\(507\) | 3.47995 | + | 12.5256i | 0.154550 | + | 0.556280i | ||||
\(508\) | −14.4437 | −0.640834 | ||||||||
\(509\) | 17.5624 | + | 0.707742i | 0.778441 | + | 0.0313701i | 0.426306 | − | 0.904579i | \(-0.359815\pi\) |
0.352135 | + | 0.935949i | \(0.385456\pi\) | |||||||
\(510\) | 2.92650 | − | 10.1035i | 0.129588 | − | 0.447389i | ||||
\(511\) | 13.2397 | + | 1.06882i | 0.585689 | + | 0.0472817i | ||||
\(512\) | 9.20738 | + | 3.49190i | 0.406912 | + | 0.154322i | ||||
\(513\) | 1.81831 | − | 5.44650i | 0.0802804 | − | 0.240469i | ||||
\(514\) | −2.75365 | − | 6.46305i | −0.121458 | − | 0.285073i | ||||
\(515\) | 29.4934 | + | 3.58115i | 1.29964 | + | 0.157804i | ||||
\(516\) | −9.61807 | − | 6.08210i | −0.423412 | − | 0.267750i | ||||
\(517\) | −29.5137 | − | 12.5746i | −1.29801 | − | 0.553030i | ||||
\(518\) | 5.98473 | + | 9.46409i | 0.262954 | + | 0.415828i | ||||
\(519\) | −7.48473 | + | 19.7356i | −0.328543 | + | 0.866297i | ||||
\(520\) | −3.70279 | + | 17.6442i | −0.162378 | + | 0.773750i | ||||
\(521\) | 8.18196 | + | 21.5740i | 0.358458 | + | 0.945176i | 0.986023 | + | 0.166612i | \(0.0532826\pi\) |
−0.627565 | + | 0.778564i | \(0.715948\pi\) | |||||||
\(522\) | 2.67574 | − | 3.56077i | 0.117114 | − | 0.155851i | ||||
\(523\) | 23.8892 | + | 3.88237i | 1.04460 | + | 0.169764i | 0.658413 | − | 0.752657i | \(-0.271228\pi\) |
0.386187 | + | 0.922421i | \(0.373792\pi\) | |||||||
\(524\) | 3.51575 | − | 1.49792i | 0.153586 | − | 0.0654370i | ||||
\(525\) | −2.66524 | − | 1.83969i | −0.116321 | − | 0.0802904i | ||||
\(526\) | −0.817666 | + | 0.472079i | −0.0356519 | + | 0.0205836i | ||||
\(527\) | 61.0242 | + | 28.9563i | 2.65825 | + | 1.26136i | ||||
\(528\) | −5.25774 | + | 0.638405i | −0.228814 | + | 0.0277830i | ||||
\(529\) | −3.91932 | − | 6.78846i | −0.170405 | − | 0.295151i | ||||
\(530\) | −6.98974 | + | 12.1066i | −0.303615 | + | 0.525876i | ||||
\(531\) | 1.33807 | − | 3.14057i | 0.0580673 | − | 0.136289i | ||||
\(532\) | 15.4717 | + | 13.7068i | 0.670785 | + | 0.594264i | ||||
\(533\) | 0.0675700 | − | 12.3472i | 0.00292678 | − | 0.534816i | ||||
\(534\) | −0.135783 | + | 0.120294i | −0.00587593 | + | 0.00520562i | ||||
\(535\) | −1.14499 | − | 3.42965i | −0.0495021 | − | 0.148277i | ||||
\(536\) | −1.05614 | + | 26.2078i | −0.0456183 | + | 1.13201i | ||||
\(537\) | −12.0685 | + | 14.7812i | −0.520793 | + | 0.637856i | ||||
\(538\) | −5.63982 | − | 6.36604i | −0.243150 | − | 0.274459i | ||||
\(539\) | −3.71438 | − | 0.758297i | −0.159990 | − | 0.0326622i | ||||
\(540\) | −2.64255 | + | 0.765424i | −0.113717 | + | 0.0329386i | ||||
\(541\) | −21.4297 | + | 8.12722i | −0.921335 | + | 0.349416i | −0.769248 | − | 0.638951i | \(-0.779369\pi\) |
−0.152088 | + | 0.988367i | \(0.548600\pi\) | |||||||
\(542\) | −0.885726 | − | 21.9791i | −0.0380452 | − | 0.944082i | ||||
\(543\) | 11.4724 | + | 8.62096i | 0.492328 | + | 0.369961i | ||||
\(544\) | −41.4101 | + | 8.45393i | −1.77544 | + | 0.362459i | ||||
\(545\) | 1.81966 | − | 0.955030i | 0.0779456 | − | 0.0409090i | ||||
\(546\) | 2.40553 | + | 6.44909i | 0.102947 | + | 0.275996i | ||||
\(547\) | 30.3113 | + | 15.9086i | 1.29602 | + | 0.680204i | 0.964709 | − | 0.263318i | \(-0.0848169\pi\) |
0.331311 | + | 0.943522i | \(0.392509\pi\) | |||||||
\(548\) | −3.38395 | − | 0.980173i | −0.144555 | − | 0.0418709i | ||||
\(549\) | −0.332669 | + | 0.0268558i | −0.0141980 | + | 0.00114618i | ||||
\(550\) | −1.15522 | + | 5.65862i | −0.0492586 | + | 0.241285i | ||||
\(551\) | −15.7037 | − | 29.9209i | −0.669000 | − | 1.27467i | ||||
\(552\) | 8.65334 | + | 11.5155i | 0.368311 | + | 0.490133i | ||||
\(553\) | −1.82670 | + | 2.88870i | −0.0776792 | + | 0.122840i | ||||
\(554\) | −12.8784 | + | 8.88935i | −0.547153 | + | 0.377672i | ||||
\(555\) | −4.84728 | + | 10.2154i | −0.205756 | + | 0.433621i | ||||
\(556\) | 3.67167 | − | 3.82261i | 0.155713 | − | 0.162115i | ||||
\(557\) | −17.7417 | − | 17.0411i | −0.751738 | − | 0.722054i | 0.215338 | − | 0.976539i | \(-0.430915\pi\) |
−0.967077 | + | 0.254485i | \(0.918094\pi\) | |||||||
\(558\) | 0.854709 | + | 7.03916i | 0.0361827 | + | 0.297991i | ||||
\(559\) | −28.6684 | + | 2.15651i | −1.21255 | + | 0.0912108i | ||||
\(560\) | 0.522298 | − | 4.30151i | 0.0220711 | − | 0.181772i | ||||
\(561\) | 33.1904 | − | 27.0991i | 1.40130 | − | 1.14412i | ||||
\(562\) | 1.22676 | + | 6.00906i | 0.0517477 | + | 0.253477i | ||||
\(563\) | −2.59202 | − | 8.94870i | −0.109241 | − | 0.377143i | 0.887205 | − | 0.461374i | \(-0.152644\pi\) |
−0.996446 | + | 0.0842319i | \(0.973156\pi\) | |||||||
\(564\) | 1.84362 | + | 7.47986i | 0.0776304 | + | 0.314959i | ||||
\(565\) | −0.465289 | + | 5.76363i | −0.0195748 | + | 0.242478i | ||||
\(566\) | 3.97848 | + | 24.4806i | 0.167228 | + | 1.02900i | ||||
\(567\) | −1.67261 | + | 1.88799i | −0.0702431 | + | 0.0792881i | ||||
\(568\) | 7.36338 | − | 5.53322i | 0.308960 | − | 0.232169i | ||||
\(569\) | 5.04678 | + | 6.18119i | 0.211572 | + | 0.259129i | 0.869478 | − | 0.493971i | \(-0.164455\pi\) |
−0.657906 | + | 0.753100i | \(0.728558\pi\) | |||||||
\(570\) | 1.34386 | − | 8.26907i | 0.0562879 | − | 0.346353i | ||||
\(571\) | 4.61636 | + | 1.13783i | 0.193189 | + | 0.0476167i | 0.334723 | − | 0.942317i | \(-0.391357\pi\) |
−0.141534 | + | 0.989933i | \(0.545204\pi\) | |||||||
\(572\) | −22.1716 | + | 21.0640i | −0.927039 | + | 0.880731i | ||||
\(573\) | 23.1027 | − | 5.69431i | 0.965130 | − | 0.237883i | ||||
\(574\) | −0.526056 | − | 6.51637i | −0.0219572 | − | 0.271988i | ||||
\(575\) | −6.76310 | + | 2.25786i | −0.282041 | + | 0.0941591i | ||||
\(576\) | −1.83885 | − | 1.91445i | −0.0766189 | − | 0.0797687i | ||||
\(577\) | − | 17.1026i | − | 0.711992i | −0.934487 | − | 0.355996i | \(-0.884142\pi\) | ||
0.934487 | − | 0.355996i | \(-0.115858\pi\) | |||||||
\(578\) | 19.0927 | − | 18.3388i | 0.794153 | − | 0.762794i | ||||
\(579\) | 2.75096 | + | 2.24609i | 0.114326 | + | 0.0933443i | ||||
\(580\) | −7.52412 | + | 14.3360i | −0.312422 | + | 0.595271i | ||||
\(581\) | 21.0796 | − | 3.42577i | 0.874531 | − | 0.142125i | ||||
\(582\) | 0.226131 | − | 0.142996i | 0.00937341 | − | 0.00592739i | ||||
\(583\) | −51.4473 | + | 24.4120i | −2.13073 | + | 1.01104i | ||||
\(584\) | −7.75949 | + | 11.2416i | −0.321090 | + | 0.465179i | ||||
\(585\) | −4.20578 | + | 5.53356i | −0.173887 | + | 0.228784i | ||||
\(586\) | −6.54137 | − | 9.47681i | −0.270222 | − | 0.391484i | ||||
\(587\) | −16.3642 | − | 9.44790i | −0.675424 | − | 0.389956i | 0.122704 | − | 0.992443i | \(-0.460843\pi\) |
−0.798129 | + | 0.602487i | \(0.794177\pi\) | |||||||
\(588\) | 0.390261 | + | 0.822457i | 0.0160941 | + | 0.0339176i | ||||
\(589\) | 51.0275 | + | 17.0355i | 2.10255 | + | 0.701935i | ||||
\(590\) | 1.19194 | − | 4.83590i | 0.0490715 | − | 0.199091i | ||||
\(591\) | 5.41026 | − | 0.218026i | 0.222549 | − | 0.00896840i | ||||
\(592\) | 5.22294 | − | 0.210477i | 0.214661 | − | 0.00865056i | ||||
\(593\) | 5.64488 | − | 22.9022i | 0.231808 | − | 0.940480i | −0.733568 | − | 0.679616i | \(-0.762146\pi\) |
0.965376 | − | 0.260864i | \(-0.0840074\pi\) | |||||||
\(594\) | 4.26665 | + | 1.42442i | 0.175063 | + | 0.0584446i | ||||
\(595\) | 15.0279 | + | 31.6707i | 0.616086 | + | 1.29837i | ||||
\(596\) | 6.79380 | + | 3.92240i | 0.278285 | + | 0.160668i | ||||
\(597\) | −9.53902 | − | 13.8197i | −0.390406 | − | 0.565601i | ||||
\(598\) | 14.5325 | + | 4.29574i | 0.594280 | + | 0.175666i | ||||
\(599\) | −24.0129 | + | 34.7887i | −0.981140 | + | 1.42143i | −0.0756127 | + | 0.997137i | \(0.524091\pi\) |
−0.905527 | + | 0.424289i | \(0.860524\pi\) | |||||||
\(600\) | 3.00882 | − | 1.42771i | 0.122835 | − | 0.0582858i | ||||
\(601\) | 8.93104 | − | 5.64765i | 0.364305 | − | 0.230372i | −0.339754 | − | 0.940515i | \(-0.610344\pi\) |
0.704058 | + | 0.710142i | \(0.251369\pi\) | |||||||
\(602\) | −15.0249 | + | 2.44178i | −0.612368 | + | 0.0995194i | ||||
\(603\) | −4.69926 | + | 8.95369i | −0.191369 | + | 0.364623i | ||||
\(604\) | −3.34403 | − | 2.73032i | −0.136067 | − | 0.111095i | ||||
\(605\) | 33.8137 | − | 32.4785i | 1.37472 | − | 1.32044i | ||||
\(606\) | 9.59620i | 0.389819i | ||||||||
\(607\) | 4.92212 | + | 5.12446i | 0.199782 | + | 0.207996i | 0.813556 | − | 0.581487i | \(-0.197529\pi\) |
−0.613774 | + | 0.789482i | \(0.710349\pi\) | |||||||
\(608\) | −31.9286 | + | 10.6593i | −1.29488 | + | 0.432293i | ||||
\(609\) | 1.19443 | + | 14.7957i | 0.0484007 | + | 0.599551i | ||||
\(610\) | −0.472792 | + | 0.116533i | −0.0191428 | + | 0.00471827i | ||||
\(611\) | 15.0081 | + | 12.3912i | 0.607161 | + | 0.501294i | ||||
\(612\) | −9.99034 | − | 2.46240i | −0.403836 | − | 0.0995365i | ||||
\(613\) | 7.82061 | − | 48.1221i | 0.315871 | − | 1.94364i | −0.0148038 | − | 0.999890i | \(-0.504712\pi\) |
0.330675 | − | 0.943745i | \(-0.392724\pi\) | |||||||
\(614\) | −12.3812 | − | 15.1643i | −0.499666 | − | 0.611980i | ||||
\(615\) | 5.27754 | − | 3.96582i | 0.212811 | − | 0.159917i | ||||
\(616\) | −25.7848 | + | 29.1050i | −1.03890 | + | 1.17268i | ||||
\(617\) | −3.42976 | − | 21.1042i | −0.138077 | − | 0.849622i | −0.959995 | − | 0.280017i | \(-0.909660\pi\) |
0.821918 | − | 0.569606i | \(-0.192904\pi\) | |||||||
\(618\) | −0.938620 | + | 11.6269i | −0.0377568 | + | 0.467702i | ||||
\(619\) | −6.65639 | − | 27.0060i | −0.267543 | − | 1.08546i | −0.938861 | − | 0.344295i | \(-0.888118\pi\) |
0.671319 | − | 0.741169i | \(-0.265728\pi\) | |||||||
\(620\) | −7.17114 | − | 24.7577i | −0.288000 | − | 0.994291i | ||||
\(621\) | 1.11079 | + | 5.44103i | 0.0445746 | + | 0.218341i | ||||
\(622\) | 19.8945 | − | 16.2434i | 0.797698 | − | 0.651300i | ||||
\(623\) | 0.0728714 | − | 0.600150i | 0.00291953 | − | 0.0240445i | ||||
\(624\) | 3.16865 | + | 0.532770i | 0.126847 | + | 0.0213279i | ||||
\(625\) | −2.04090 | − | 16.8084i | −0.0816361 | − | 0.672334i | ||||
\(626\) | −0.956308 | − | 0.918547i | −0.0382218 | − | 0.0367125i | ||||
\(627\) | 23.6399 | − | 24.6117i | 0.944086 | − | 0.982897i | ||||
\(628\) | 10.0359 | − | 21.1502i | 0.400476 | − | 0.843985i | ||||
\(629\) | −34.8027 | + | 24.0226i | −1.38768 | + | 0.957844i | ||||
\(630\) | −1.96687 | + | 3.11035i | −0.0783618 | + | 0.123919i | ||||
\(631\) | 10.4705 | + | 13.9337i | 0.416825 | + | 0.554694i | 0.958204 | − | 0.286085i | \(-0.0923540\pi\) |
−0.541379 | + | 0.840779i | \(0.682098\pi\) | |||||||
\(632\) | −1.63339 | − | 3.11216i | −0.0649726 | − | 0.123795i | ||||
\(633\) | 2.10680 | − | 10.3198i | 0.0837376 | − | 0.410174i | ||||
\(634\) | −16.4707 | + | 1.32965i | −0.654134 | + | 0.0528072i | ||||
\(635\) | −18.7391 | − | 5.42784i | −0.743637 | − | 0.215397i | ||||
\(636\) | 12.1082 | + | 6.35488i | 0.480122 | + | 0.251988i | ||||
\(637\) | 2.03056 | + | 1.07993i | 0.0804537 | + | 0.0427885i | ||||
\(638\) | 23.4393 | − | 12.3019i | 0.927969 | − | 0.487036i | ||||
\(639\) | 3.47916 | − | 0.710276i | 0.137634 | − | 0.0280981i | ||||
\(640\) | 14.9723 | + | 11.2509i | 0.591830 | + | 0.444732i | ||||
\(641\) | −1.06469 | − | 26.4201i | −0.0420528 | − | 1.04353i | −0.873165 | − | 0.487425i | \(-0.837936\pi\) |
0.831112 | − | 0.556105i | \(-0.187705\pi\) | |||||||
\(642\) | 1.32735 | − | 0.503398i | 0.0523864 | − | 0.0198675i | ||||
\(643\) | 15.2928 | − | 4.42960i | 0.603087 | − | 0.174686i | 0.0373920 | − | 0.999301i | \(-0.488095\pi\) |
0.565695 | + | 0.824614i | \(0.308608\pi\) | |||||||
\(644\) | −19.5866 | − | 3.99863i | −0.771819 | − | 0.157568i | ||||
\(645\) | −10.1928 | − | 11.5053i | −0.401340 | − | 0.453020i | ||||
\(646\) | 19.8157 | − | 24.2699i | 0.779640 | − | 0.954885i | ||||
\(647\) | 0.608634 | − | 15.1031i | 0.0239279 | − | 0.593764i | −0.942101 | − | 0.335329i | \(-0.891152\pi\) |
0.966029 | − | 0.258434i | \(-0.0832066\pi\) | |||||||
\(648\) | −0.821396 | − | 2.46038i | −0.0322675 | − | 0.0966529i | ||||
\(649\) | 15.1862 | − | 13.4538i | 0.596110 | − | 0.528108i | ||||
\(650\) | 1.64521 | − | 3.09343i | 0.0645304 | − | 0.121334i | ||||
\(651\) | −17.6883 | − | 15.6705i | −0.693259 | − | 0.614173i | ||||
\(652\) | −4.23208 | + | 9.93306i | −0.165741 | + | 0.389009i | ||||
\(653\) | 4.87256 | − | 8.43952i | 0.190678 | − | 0.330264i | −0.754797 | − | 0.655958i | \(-0.772265\pi\) |
0.945475 | + | 0.325694i | \(0.105598\pi\) | |||||||
\(654\) | 0.403426 | + | 0.698754i | 0.0157752 | + | 0.0273235i | ||||
\(655\) | 5.12421 | − | 0.622192i | 0.200220 | − | 0.0243111i | ||||
\(656\) | −2.75717 | − | 1.30829i | −0.107649 | − | 0.0510803i | ||||
\(657\) | −4.56055 | + | 2.63304i | −0.177924 | + | 0.102725i | ||||
\(658\) | 8.48065 | + | 5.85377i | 0.330610 | + | 0.228204i | ||||
\(659\) | 2.11106 | − | 0.899440i | 0.0822353 | − | 0.0350372i | −0.350457 | − | 0.936579i | \(-0.613974\pi\) |
0.432693 | + | 0.901542i | \(0.357564\pi\) | |||||||
\(660\) | −16.1390 | − | 2.62285i | −0.628211 | − | 0.102094i | ||||
\(661\) | −30.2622 | + | 40.2717i | −1.17706 | + | 1.56639i | −0.428169 | + | 0.903699i | \(0.640841\pi\) |
−0.748895 | + | 0.662689i | \(0.769415\pi\) | |||||||
\(662\) | −8.12225 | − | 21.4166i | −0.315680 | − | 0.832381i | ||||
\(663\) | −23.9699 | + | 10.0580i | −0.930913 | + | 0.390620i | ||||
\(664\) | −7.78781 | + | 20.5348i | −0.302226 | + | 0.796904i | ||||
\(665\) | 14.9220 | + | 23.5972i | 0.578650 | + | 0.915061i | ||||
\(666\) | −4.08415 | − | 1.74009i | −0.158258 | − | 0.0674272i | ||||
\(667\) | 27.6214 | + | 17.4667i | 1.06951 | + | 0.676314i | ||||
\(668\) | −9.70075 | − | 1.17788i | −0.375333 | − | 0.0455737i | ||||
\(669\) | 3.20938 | + | 7.53269i | 0.124082 | + | 0.291231i | ||||
\(670\) | −4.67190 | + | 13.9940i | −0.180491 | + | 0.540637i | ||||
\(671\) | −1.85465 | − | 0.703377i | −0.0715981 | − | 0.0271536i | ||||
\(672\) | 14.7385 | + | 1.18981i | 0.568549 | + | 0.0458980i | ||||
\(673\) | −7.00434 | + | 24.1818i | −0.269997 | + | 0.932139i | 0.704867 | + | 0.709340i | \(0.251007\pi\) |
−0.974864 | + | 0.222800i | \(0.928480\pi\) | |||||||
\(674\) | 23.6026 | + | 0.951151i | 0.909137 | + | 0.0366370i | ||||
\(675\) | 1.28394 | 0.0494188 | ||||||||
\(676\) | 16.5214 | − | 8.44180i | 0.635440 | − | 0.324685i | ||||
\(677\) | −23.2861 | −0.894956 | −0.447478 | − | 0.894295i | \(-0.647678\pi\) | ||||
−0.447478 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(678\) | −2.26843 | − | 0.0914146i | −0.0871185 | − | 0.00351076i | ||||
\(679\) | −0.248072 | + | 0.856445i | −0.00952014 | + | 0.0328673i | ||||
\(680\) | −35.9327 | − | 2.90079i | −1.37796 | − | 0.111240i | ||||
\(681\) | 26.1068 | + | 9.90100i | 1.00041 | + | 0.379407i | ||||
\(682\) | −13.3452 | + | 39.9736i | −0.511013 | + | 1.53067i | ||||
\(683\) | 3.23064 | + | 7.58259i | 0.123617 | + | 0.290140i | 0.970278 | − | 0.241993i | \(-0.0778011\pi\) |
−0.846661 | + | 0.532133i | \(0.821391\pi\) | |||||||
\(684\) | −8.13508 | − | 0.987778i | −0.311053 | − | 0.0377686i | ||||
\(685\) | −4.02196 | − | 2.54333i | −0.153671 | − | 0.0971758i | ||||
\(686\) | 13.4142 | + | 5.71525i | 0.512156 | + | 0.218209i | ||||
\(687\) | 0.138874 | + | 0.219611i | 0.00529836 | + | 0.00837868i | ||||
\(688\) | −2.51976 | + | 6.64405i | −0.0960648 | + | 0.253302i | ||||
\(689\) | 34.1293 | − | 5.35502i | 1.30022 | − | 0.204010i | ||||
\(690\) | 2.87307 | + | 7.57566i | 0.109376 | + | 0.288400i | ||||
\(691\) | −13.3990 | + | 17.8308i | −0.509722 | + | 0.678317i | −0.978795 | − | 0.204842i | \(-0.934332\pi\) |
0.469073 | + | 0.883160i | \(0.344588\pi\) | |||||||
\(692\) | 29.7336 | + | 4.83217i | 1.13030 | + | 0.183692i | ||||
\(693\) | −13.7911 | + | 5.87586i | −0.523882 | + | 0.223205i | ||||
\(694\) | −8.87241 | − | 6.12418i | −0.336792 | − | 0.232471i | ||||
\(695\) | 6.20010 | − | 3.57963i | 0.235183 | − | 0.135783i | ||||
\(696\) | −13.7910 | − | 6.54392i | −0.522747 | − | 0.248047i | ||||
\(697\) | 24.5096 | − | 2.97600i | 0.928366 | − | 0.112724i | ||||
\(698\) | 4.77646 | + | 8.27308i | 0.180792 | + | 0.313141i | ||||
\(699\) | −1.93948 | + | 3.35928i | −0.0733580 | + | 0.127060i | ||||
\(700\) | −1.81164 | + | 4.25207i | −0.0684734 | + | 0.160713i | ||||
\(701\) | 18.3895 | + | 16.2917i | 0.694562 | + | 0.615328i | 0.934711 | − | 0.355408i | \(-0.115658\pi\) |
−0.240150 | + | 0.970736i | \(0.577196\pi\) | |||||||
\(702\) | −2.23731 | − | 1.56245i | −0.0844416 | − | 0.0589707i | ||||
\(703\) | −25.2100 | + | 22.3341i | −0.950813 | + | 0.842347i | ||||
\(704\) | −4.99588 | − | 14.9645i | −0.188289 | − | 0.563995i | ||||
\(705\) | −0.418990 | + | 10.3971i | −0.0157801 | + | 0.391578i | ||||
\(706\) | −10.7186 | + | 13.1279i | −0.403399 | + | 0.494074i | ||||
\(707\) | −21.2071 | − | 23.9379i | −0.797576 | − | 0.900278i | ||||
\(708\) | −4.77353 | − | 0.974523i | −0.179400 | − | 0.0366248i | ||||
\(709\) | −30.0175 | + | 8.69467i | −1.12733 | + | 0.326535i | −0.788940 | − | 0.614471i | \(-0.789370\pi\) |
−0.338390 | + | 0.941006i | \(0.609882\pi\) | |||||||
\(710\) | 4.84411 | − | 1.83713i | 0.181796 | − | 0.0689463i | ||||
\(711\) | −0.0545612 | − | 1.35392i | −0.00204620 | − | 0.0507761i | ||||
\(712\) | 0.497018 | + | 0.373485i | 0.0186265 | + | 0.0139969i | ||||
\(713\) | −50.9762 | + | 10.4069i | −1.90907 | + | 0.389740i | ||||
\(714\) | −12.1869 | + | 6.39615i | −0.456081 | + | 0.239370i | ||||
\(715\) | −36.6809 | + | 18.9963i | −1.37179 | + | 0.710422i | ||||
\(716\) | 24.1142 | + | 12.6561i | 0.901190 | + | 0.472981i | ||||
\(717\) | −19.2243 | − | 5.56837i | −0.717943 | − | 0.207955i | ||||
\(718\) | −11.9639 | + | 0.965825i | −0.446488 | + | 0.0360443i | ||||
\(719\) | 2.30134 | − | 11.2727i | 0.0858254 | − | 0.420401i | −0.914065 | − | 0.405569i | \(-0.867074\pi\) |
0.999890 | − | 0.0148320i | \(-0.00472133\pi\) | |||||||
\(720\) | 0.798347 | + | 1.52112i | 0.0297527 | + | 0.0566889i | ||||
\(721\) | −23.3535 | − | 31.0778i | −0.869729 | − | 1.15740i | ||||
\(722\) | 5.65131 | − | 8.93683i | 0.210320 | − | 0.332594i | ||||
\(723\) | −21.0761 | + | 14.5478i | −0.783830 | + | 0.541039i | ||||
\(724\) | 8.77989 | − | 18.5032i | 0.326302 | − | 0.687667i | ||||
\(725\) | 5.23418 | − | 5.44936i | 0.194393 | − | 0.202384i | ||||
\(726\) | 13.2759 | + | 12.7517i | 0.492714 | + | 0.473259i | ||||
\(727\) | 1.58192 | + | 13.0283i | 0.0586702 | + | 0.483193i | 0.992197 | + | 0.124684i | \(0.0397917\pi\) |
−0.933526 | + | 0.358509i | \(0.883285\pi\) | |||||||
\(728\) | 20.0064 | − | 12.4986i | 0.741487 | − | 0.463227i | ||||
\(729\) | 0.120537 | − | 0.992709i | 0.00446432 | − | 0.0367670i | ||||
\(730\) | −5.95143 | + | 4.85919i | −0.220272 | + | 0.179847i | ||||
\(731\) | −11.4988 | − | 56.3251i | −0.425300 | − | 2.08326i | ||||
\(732\) | 0.132521 | + | 0.457514i | 0.00489810 | + | 0.0169102i | ||||
\(733\) | −5.56717 | − | 22.5869i | −0.205628 | − | 0.834267i | −0.979585 | − | 0.201029i | \(-0.935572\pi\) |
0.773957 | − | 0.633238i | \(-0.218275\pi\) | |||||||
\(734\) | −0.204060 | + | 2.52774i | −0.00753200 | + | 0.0933005i | ||||
\(735\) | 0.197246 | + | 1.21371i | 0.00727554 | + | 0.0447682i | ||||
\(736\) | 21.5876 | − | 24.3673i | 0.795728 | − | 0.898191i | ||||
\(737\) | −48.0445 | + | 36.1031i | −1.76974 | + | 1.32987i | ||||
\(738\) | 1.63922 | + | 2.00768i | 0.0603407 | + | 0.0739039i | ||||
\(739\) | −7.19348 | + | 44.2633i | −0.264617 | + | 1.62825i | 0.425785 | + | 0.904824i | \(0.359998\pi\) |
−0.690402 | + | 0.723426i | \(0.742566\pi\) | |||||||
\(740\) | 15.6683 | + | 3.86189i | 0.575978 | + | 0.141966i | ||||
\(741\) | −17.9858 | + | 10.2533i | −0.660725 | + | 0.376664i | ||||
\(742\) | 17.7600 | − | 4.37746i | 0.651992 | − | 0.160702i | ||||
\(743\) | 2.65942 | + | 32.9429i | 0.0975648 | + | 1.20856i | 0.841482 | + | 0.540285i | \(0.181684\pi\) |
−0.743917 | + | 0.668272i | \(0.767034\pi\) | |||||||
\(744\) | 23.0509 | − | 7.69553i | 0.845088 | − | 0.282132i | ||||
\(745\) | 7.34020 | + | 7.64196i | 0.268924 | + | 0.279980i | ||||
\(746\) | − | 11.7327i | − | 0.429563i | ||||||
\(747\) | −6.10632 | + | 5.86520i | −0.223419 | + | 0.214597i | ||||
\(748\) | −47.3683 | − | 38.6751i | −1.73196 | − | 1.41410i | ||||
\(749\) | −2.19862 | + | 4.18912i | −0.0803358 | + | 0.153067i | ||||
\(750\) | 9.04951 | − | 1.47069i | 0.330441 | − | 0.0537019i | ||||
\(751\) | 1.08966 | − | 0.689059i | 0.0397622 | − | 0.0251441i | −0.514437 | − | 0.857528i | \(-0.671999\pi\) |
0.554199 | + | 0.832384i | \(0.313025\pi\) | |||||||
\(752\) | 4.34595 | − | 2.06218i | 0.158480 | − | 0.0751999i | ||||
\(753\) | 0.198271 | − | 0.287245i | 0.00722541 | − | 0.0104678i | ||||
\(754\) | −15.7521 | + | 3.12613i | −0.573659 | + | 0.113847i | ||||
\(755\) | −3.31248 | − | 4.79895i | −0.120553 | − | 0.174652i | ||||
\(756\) | 3.11751 | + | 1.79990i | 0.113383 | + | 0.0654616i | ||||
\(757\) | 1.15621 | + | 2.43665i | 0.0420230 | + | 0.0885616i | 0.923376 | − | 0.383897i | \(-0.125418\pi\) |
−0.881353 | + | 0.472458i | \(0.843367\pi\) | |||||||
\(758\) | 17.1620 | + | 5.72952i | 0.623352 | + | 0.208106i | ||||
\(759\) | −7.89841 | + | 32.0451i | −0.286694 | + | 1.16316i | ||||
\(760\) | −28.6881 | + | 1.15609i | −1.04062 | + | 0.0419358i | ||||
\(761\) | −50.1861 | + | 2.02243i | −1.81925 | + | 0.0733131i | −0.926285 | − | 0.376823i | \(-0.877016\pi\) |
−0.892960 | + | 0.450136i | \(0.851375\pi\) | |||||||
\(762\) | 1.83309 | − | 7.43715i | 0.0664059 | − | 0.269419i | ||||
\(763\) | −2.55057 | − | 0.851504i | −0.0923367 | − | 0.0308265i | ||||
\(764\) | −14.5577 | − | 30.6796i | −0.526678 | − | 1.10995i | ||||
\(765\) | −12.0360 | − | 6.94900i | −0.435163 | − | 0.251242i | ||||
\(766\) | 2.45022 | + | 3.54976i | 0.0885302 | + | 0.128258i | ||||
\(767\) | −11.1487 | + | 5.21559i | −0.402558 | + | 0.188324i | ||||
\(768\) | −7.19292 | + | 10.4207i | −0.259552 | + | 0.376026i | ||||
\(769\) | 41.4833 | − | 19.6841i | 1.49592 | − | 0.709825i | 0.507516 | − | 0.861642i | \(-0.330564\pi\) |
0.988409 | + | 0.151817i | \(0.0485125\pi\) | |||||||
\(770\) | −18.4855 | + | 11.6895i | −0.666170 | + | 0.421260i | ||||
\(771\) | −9.16191 | + | 1.48896i | −0.329958 | + | 0.0536234i | ||||
\(772\) | 2.35545 | − | 4.48794i | 0.0847746 | − | 0.161524i | ||||
\(773\) | −3.02296 | − | 2.46817i | −0.108728 | − | 0.0887740i | 0.576522 | − | 0.817082i | \(-0.304410\pi\) |
−0.685250 | + | 0.728308i | \(0.740307\pi\) | |||||||
\(774\) | 4.35238 | − | 4.18052i | 0.156443 | − | 0.150266i | ||||
\(775\) | 12.0290i | 0.432096i | ||||||||
\(776\) | −0.635186 | − | 0.661299i | −0.0228019 | − | 0.0237393i | ||||
\(777\) | 14.0335 | − | 4.68507i | 0.503449 | − | 0.168076i | ||||
\(778\) | 1.26837 | + | 15.7116i | 0.0454734 | + | 0.563290i | ||||
\(779\) | 19.0924 | − | 4.70585i | 0.684055 | − | 0.168604i | ||||
\(780\) | 8.93836 | + | 4.30139i | 0.320045 | + | 0.154014i | ||||
\(781\) | 20.4906 | + | 5.05049i | 0.733213 | + | 0.180721i | ||||
\(782\) | −4.86078 | + | 29.9096i | −0.173821 | + | 1.06956i | ||||
\(783\) | −3.72192 | − | 4.55852i | −0.133011 | − | 0.162908i | ||||
\(784\) | 0.454440 | − | 0.341489i | 0.0162300 | − | 0.0121960i | ||||
\(785\) | 20.9686 | − | 23.6687i | 0.748401 | − | 0.844771i | ||||
\(786\) | 0.325096 | + | 2.00039i | 0.0115958 | + | 0.0713517i | ||||
\(787\) | −2.25433 | + | 27.9249i | −0.0803583 | + | 0.995417i | 0.823425 | + | 0.567426i | \(0.192061\pi\) |
−0.903783 | + | 0.427991i | \(0.859221\pi\) | |||||||
\(788\) | −1.84935 | − | 7.50309i | −0.0658802 | − | 0.267287i | ||||
\(789\) | 0.347070 | + | 1.19822i | 0.0123560 | + | 0.0426579i | ||||
\(790\) | −0.395445 | − | 1.93702i | −0.0140693 | − | 0.0689159i | ||||
\(791\) | 5.86067 | − | 4.78509i | 0.208381 | − | 0.170138i | ||||
\(792\) | 1.85818 | − | 15.3035i | 0.0660276 | − | 0.543786i | ||||
\(793\) | 0.958044 | + | 0.728161i | 0.0340212 | + | 0.0258578i | ||||
\(794\) | −0.169208 | − | 1.39355i | −0.00600497 | − | 0.0494553i | ||||
\(795\) | 13.3210 | + | 12.7950i | 0.472446 | + | 0.453791i | ||||
\(796\) | −16.6013 | + | 17.2838i | −0.588418 | + | 0.612608i | ||||
\(797\) | −16.3232 | + | 34.4005i | −0.578198 | + | 1.21853i | 0.377999 | + | 0.925806i | \(0.376612\pi\) |
−0.956198 | + | 0.292721i | \(0.905439\pi\) | |||||||
\(798\) | −9.02129 | + | 6.22695i | −0.319350 | + | 0.220432i | ||||
\(799\) | −20.7996 | + | 32.8919i | −0.735837 | + | 1.16363i | ||||
\(800\) | −4.52163 | − | 6.01719i | −0.159864 | − | 0.212740i | ||||
\(801\) | 0.111386 | + | 0.212228i | 0.00393563 | + | 0.00749872i | ||||
\(802\) | 2.08394 | − | 10.2078i | 0.0735864 | − | 0.360450i | ||||
\(803\) | −31.1959 | + | 2.51839i | −1.10088 | + | 0.0888721i | ||||
\(804\) | 13.8617 | + | 4.01509i | 0.488865 | + | 0.141601i | ||||
\(805\) | −23.9088 | − | 12.5483i | −0.842674 | − | 0.442269i | ||||
\(806\) | 14.6383 | − | 20.9610i | 0.515613 | − | 0.738319i | ||||
\(807\) | −9.95007 | + | 5.22220i | −0.350259 | + | 0.183830i | ||||
\(808\) | 32.2232 | − | 6.57841i | 1.13361 | − | 0.231428i | ||||
\(809\) | −13.4925 | − | 10.1390i | −0.474372 | − | 0.356467i | 0.336507 | − | 0.941681i | \(-0.390754\pi\) |
−0.810879 | + | 0.585213i | \(0.801011\pi\) | |||||||
\(810\) | −0.0587478 | − | 1.45781i | −0.00206419 | − | 0.0512223i | ||||
\(811\) | −10.0773 | + | 3.82183i | −0.353863 | + | 0.134203i | −0.525130 | − | 0.851022i | \(-0.675983\pi\) |
0.171267 | + | 0.985225i | \(0.445214\pi\) | |||||||
\(812\) | 20.3482 | − | 5.89394i | 0.714083 | − | 0.206837i | ||||
\(813\) | −28.4762 | − | 5.81347i | −0.998705 | − | 0.203887i | ||||
\(814\) | −17.4960 | − | 19.7489i | −0.613234 | − | 0.692198i | ||||
\(815\) | −9.22345 | + | 11.2967i | −0.323083 | + | 0.395705i | ||||
\(816\) | −0.258705 | + | 6.41970i | −0.00905649 | + | 0.224734i | ||||
\(817\) | −14.4986 | − | 43.4286i | −0.507241 | − | 1.51937i | ||||
\(818\) | 1.03265 | − | 0.914851i | 0.0361059 | − | 0.0319870i | ||||
\(819\) | 9.03393 | − | 1.04678i | 0.315671 | − | 0.0365776i | ||||
\(820\) | −7.05210 | − | 6.24762i | −0.246270 | − | 0.218176i | ||||
\(821\) | −7.46669 | + | 17.5250i | −0.260589 | + | 0.611625i | −0.997959 | − | 0.0638644i | \(-0.979657\pi\) |
0.737369 | + | 0.675490i | \(0.236068\pi\) | |||||||
\(822\) | 0.934167 | − | 1.61802i | 0.0325828 | − | 0.0564351i | ||||
\(823\) | −25.2470 | − | 43.7290i | −0.880054 | − | 1.52430i | −0.851280 | − | 0.524712i | \(-0.824173\pi\) |
−0.0287742 | − | 0.999586i | \(-0.509160\pi\) | |||||||
\(824\) | 39.6855 | − | 4.81869i | 1.38251 | − | 0.167867i | ||||
\(825\) | 6.89397 | + | 3.27123i | 0.240017 | + | 0.113890i | ||||
\(826\) | −5.64384 | + | 3.25847i | −0.196374 | + | 0.113377i | ||||
\(827\) | −26.3869 | − | 18.2135i | −0.917561 | − | 0.633347i | 0.0128290 | − | 0.999918i | \(-0.495916\pi\) |
−0.930390 | + | 0.366571i | \(0.880532\pi\) | |||||||
\(828\) | 7.29125 | − | 3.10651i | 0.253388 | − | 0.107959i | ||||
\(829\) | 3.33646 | + | 0.542228i | 0.115880 | + | 0.0188323i | 0.218075 | − | 0.975932i | \(-0.430022\pi\) |
−0.102195 | + | 0.994764i | \(0.532586\pi\) | |||||||
\(830\) | −7.42104 | + | 9.87560i | −0.257588 | + | 0.342787i | ||||
\(831\) | 7.33169 | + | 19.3321i | 0.254334 | + | 0.670623i | ||||
\(832\) | 0.333046 | + | 9.56523i | 0.0115463 | + | 0.331615i | ||||
\(833\) | −1.63075 | + | 4.29994i | −0.0565023 | + | 0.148984i | ||||
\(834\) | 1.50231 | + | 2.37571i | 0.0520207 | + | 0.0822642i | ||||
\(835\) | −12.1430 | − | 5.17366i | −0.420227 | − | 0.179042i | ||||
\(836\) | −41.1638 | − | 26.0304i | −1.42368 | − | 0.900280i | ||||
\(837\) | 9.30054 | + | 1.12929i | 0.321474 | + | 0.0390340i | ||||
\(838\) | −2.08911 | − | 4.90331i | −0.0721670 | − | 0.169382i | ||||
\(839\) | 14.0802 | − | 42.1752i | 0.486101 | − | 1.45605i | −0.364979 | − | 0.931016i | \(-0.618924\pi\) |
0.851080 | − | 0.525035i | \(-0.175948\pi\) | |||||||
\(840\) | 11.7926 | + | 4.47235i | 0.406884 | + | 0.154311i | ||||
\(841\) | −5.61454 | − | 0.453252i | −0.193605 | − | 0.0156294i | ||||
\(842\) | 2.74415 | − | 9.47392i | 0.0945698 | − | 0.326493i | ||||
\(843\) | 8.09671 | + | 0.326286i | 0.278865 | + | 0.0112379i | ||||
\(844\) | −15.0319 | −0.517418 | ||||||||
\(845\) | 24.6072 | − | 4.74365i | 0.846512 | − | 0.163187i | ||||
\(846\) | −4.08542 | −0.140460 | ||||||||
\(847\) | −61.2975 | − | 2.47021i | −2.10621 | − | 0.0848773i | ||||
\(848\) | 2.37562 | − | 8.20161i | 0.0815793 | − | 0.281644i | ||||
\(849\) | 32.6633 | + | 2.63685i | 1.12100 | + | 0.0904965i | ||||
\(850\) | 6.55069 | + | 2.48435i | 0.224687 | + | 0.0852124i | ||||
\(851\) | 10.3148 | − | 30.8967i | 0.353588 | − | 1.05913i | ||||
\(852\) | −1.98640 | − | 4.66225i | −0.0680529 | − | 0.159726i | ||||
\(853\) | 17.6351 | + | 2.14129i | 0.603813 | + | 0.0733162i | 0.416734 | − | 0.909029i | \(-0.363175\pi\) |
0.187079 | + | 0.982345i | \(0.440098\pi\) | |||||||
\(854\) | 0.538506 | + | 0.340531i | 0.0184273 | + | 0.0116527i | ||||
\(855\) | −10.1832 | − | 4.33865i | −0.348257 | − | 0.148379i | ||||
\(856\) | −2.60030 | − | 4.11204i | −0.0888763 | − | 0.140547i | ||||
\(857\) | −0.971190 | + | 2.56082i | −0.0331752 | + | 0.0874758i | −0.950580 | − | 0.310479i | \(-0.899511\pi\) |
0.917405 | + | 0.397955i | \(0.130280\pi\) | |||||||
\(858\) | −8.03216 | − | 14.0896i | −0.274213 | − | 0.481011i | ||||
\(859\) | −7.70079 | − | 20.3053i | −0.262748 | − | 0.692808i | −0.999855 | − | 0.0170327i | \(-0.994578\pi\) |
0.737107 | − | 0.675776i | \(-0.236191\pi\) | |||||||
\(860\) | −13.1784 | + | 17.5373i | −0.449380 | + | 0.598017i | ||||
\(861\) | −8.52596 | − | 1.38560i | −0.290564 | − | 0.0472212i | ||||
\(862\) | 9.91847 | − | 4.22587i | 0.337825 | − | 0.143934i | ||||
\(863\) | −3.37284 | − | 2.32810i | −0.114813 | − | 0.0792494i | 0.509275 | − | 0.860604i | \(-0.329914\pi\) |
−0.624087 | + | 0.781355i | \(0.714529\pi\) | |||||||
\(864\) | −5.07683 | + | 2.93111i | −0.172717 | + | 0.0997184i | ||||
\(865\) | 36.7601 | + | 17.4429i | 1.24988 | + | 0.593076i | ||||
\(866\) | −3.80032 | + | 0.461443i | −0.129140 | + | 0.0156805i | ||||
\(867\) | −17.4891 | − | 30.2921i | −0.593962 | − | 1.02877i | ||||
\(868\) | −16.8630 | + | 29.2075i | −0.572366 | + | 0.991367i | ||||
\(869\) | 3.15657 | − | 7.40875i | 0.107079 | − | 0.251325i | ||||
\(870\) | −6.42681 | − | 5.69366i | −0.217889 | − | 0.193033i | ||||
\(871\) | 34.1602 | − | 12.7419i | 1.15747 | − | 0.431741i | ||||
\(872\) | 2.06980 | − | 1.83368i | 0.0700922 | − | 0.0620962i | ||||
\(873\) | −0.111943 | − | 0.335310i | −0.00378869 | − | 0.0113485i | ||||
\(874\) | −0.971766 | + | 24.1141i | −0.0328705 | + | 0.815672i | ||||
\(875\) | −19.3240 | + | 23.6676i | −0.653271 | + | 0.800112i | ||||
\(876\) | 4.98376 | + | 5.62550i | 0.168386 | + | 0.190068i | ||||
\(877\) | −12.9102 | − | 2.63563i | −0.435946 | − | 0.0889990i | −0.0229599 | − | 0.999736i | \(-0.507309\pi\) |
−0.412986 | + | 0.910737i | \(0.635514\pi\) | |||||||
\(878\) | 4.51647 | − | 1.30821i | 0.152424 | − | 0.0441500i | ||||
\(879\) | −14.2258 | + | 5.39515i | −0.479826 | + | 0.181974i | ||||
\(880\) | 0.411108 | + | 10.2015i | 0.0138585 | + | 0.343894i | ||||
\(881\) | −18.5841 | − | 13.9650i | −0.626114 | − | 0.470494i | 0.239709 | − | 0.970845i | \(-0.422948\pi\) |
−0.865823 | + | 0.500351i | \(0.833204\pi\) | |||||||
\(882\) | −0.473019 | + | 0.0965675i | −0.0159274 | + | 0.00325160i | ||||
\(883\) | 47.2165 | − | 24.7811i | 1.58896 | − | 0.833951i | 0.589300 | − | 0.807914i | \(-0.299404\pi\) |
0.999661 | − | 0.0260366i | \(-0.00828866\pi\) | |||||||
\(884\) | 20.9071 | + | 30.6465i | 0.703181 | + | 1.03075i | ||||
\(885\) | −5.82691 | − | 3.05820i | −0.195870 | − | 0.102800i | ||||
\(886\) | −6.24299 | − | 1.80830i | −0.209737 | − | 0.0607512i | ||||
\(887\) | 18.1137 | − | 1.46229i | 0.608200 | − | 0.0490990i | 0.227470 | − | 0.973785i | \(-0.426955\pi\) |
0.380730 | + | 0.924686i | \(0.375673\pi\) | |||||||
\(888\) | −3.04330 | + | 14.9071i | −0.102127 | + | 0.500249i | ||||
\(889\) | 11.8631 | + | 22.6032i | 0.397874 | + | 0.758086i | ||||
\(890\) | 0.210077 | + | 0.279562i | 0.00704180 | + | 0.00937093i | ||||
\(891\) | 3.17644 | − | 5.02314i | 0.106415 | − | 0.168282i | ||||
\(892\) | 9.61700 | − | 6.63813i | 0.322001 | − | 0.222261i | ||||
\(893\) | −13.2872 | + | 28.0022i | −0.444640 | + | 0.937058i | ||||
\(894\) | −2.88190 | + | 3.00038i | −0.0963851 | + | 0.100348i | ||||
\(895\) | 26.5294 | + | 25.4819i | 0.886782 | + | 0.851765i | ||||
\(896\) | −2.95379 | − | 24.3266i | −0.0986790 | − | 0.812695i | ||||
\(897\) | 10.1060 | − | 17.2850i | 0.337430 | − | 0.577129i | ||||
\(898\) | 0.615437 | − | 5.06858i | 0.0205374 | − | 0.169141i | ||||
\(899\) | 42.7081 | − | 34.8701i | 1.42440 | − | 1.16298i | ||||
\(900\) | −0.366527 | − | 1.79537i | −0.0122176 | − | 0.0598457i | ||||
\(901\) | 19.2191 | + | 66.3520i | 0.640280 | + | 2.21050i | ||||
\(902\) | 3.68644 | + | 14.9565i | 0.122745 | + | 0.497996i | ||||
\(903\) | −1.61836 | + | 20.0469i | −0.0538555 | + | 0.667121i | ||||
\(904\) | 1.24810 | + | 7.67985i | 0.0415111 | + | 0.255428i | ||||
\(905\) | 18.3444 | − | 20.7065i | 0.609787 | − | 0.688307i | ||||
\(906\) | 1.83026 | − | 1.37535i | 0.0608064 | − | 0.0456931i | ||||
\(907\) | −11.7677 | − | 14.4128i | −0.390741 | − | 0.478571i | 0.541349 | − | 0.840798i | \(-0.317914\pi\) |
−0.932090 | + | 0.362227i | \(0.882016\pi\) | |||||||
\(908\) | 6.39213 | − | 39.3323i | 0.212130 | − | 1.30529i | ||||
\(909\) | 12.3106 | + | 3.03430i | 0.408318 | + | 0.100641i | ||||
\(910\) | 12.7648 | − | 3.62177i | 0.423149 | − | 0.120060i | ||||
\(911\) | 8.60825 | − | 2.12174i | 0.285204 | − | 0.0702965i | −0.0941184 | − | 0.995561i | \(-0.530003\pi\) |
0.379323 | + | 0.925265i | \(0.376157\pi\) | |||||||
\(912\) | 0.411752 | + | 5.10046i | 0.0136345 | + | 0.168893i | ||||
\(913\) | −47.7307 | + | 15.9348i | −1.57965 | + | 0.527366i | ||||
\(914\) | −12.2045 | − | 12.7062i | −0.403689 | − | 0.420285i | ||||
\(915\) | 0.643375i | 0.0212693i | ||||||||
\(916\) | 0.267444 | − | 0.256883i | 0.00883660 | − | 0.00848767i | ||||
\(917\) | −5.23173 | − | 4.27158i | −0.172767 | − | 0.141060i | ||||
\(918\) | 2.53582 | − | 4.83159i | 0.0836944 | − | 0.159466i | ||||
\(919\) | −37.5469 | + | 6.10197i | −1.23856 | + | 0.201285i | −0.744191 | − | 0.667967i | \(-0.767165\pi\) |
−0.494368 | + | 0.869253i | \(0.664601\pi\) | |||||||
\(920\) | 23.4688 | − | 14.8408i | 0.773745 | − | 0.489287i | ||||
\(921\) | −23.3686 | + | 11.0885i | −0.770022 | + | 0.365380i | ||||
\(922\) | 3.72885 | − | 5.40218i | 0.122803 | − | 0.177911i | ||||
\(923\) | −11.0526 | − | 6.46210i | −0.363800 | − | 0.212703i | ||||
\(924\) | 12.1534 | + | 17.6072i | 0.399816 | + | 0.579233i | ||||
\(925\) | −6.52208 | − | 3.76552i | −0.214445 | − | 0.123810i | ||||
\(926\) | −8.47735 | − | 17.8656i | −0.278583 | − | 0.587102i | ||||
\(927\) | 14.6189 | + | 4.88052i | 0.480149 | + | 0.160297i | ||||
\(928\) | −8.25614 | + | 33.4965i | −0.271021 | + | 1.09958i | ||||
\(929\) | 22.1309 | − | 0.891845i | 0.726092 | − | 0.0292605i | 0.325532 | − | 0.945531i | \(-0.394457\pi\) |
0.400560 | + | 0.916271i | \(0.368816\pi\) | |||||||
\(930\) | 13.6580 | − | 0.550400i | 0.447864 | − | 0.0180483i | ||||
\(931\) | −0.876532 | + | 3.55623i | −0.0287272 | + | 0.116551i | ||||
\(932\) | 5.25105 | + | 1.75306i | 0.172004 | + | 0.0574233i | ||||
\(933\) | −14.5474 | − | 30.6581i | −0.476262 | − | 1.00370i | ||||
\(934\) | 17.8568 | + | 10.3096i | 0.584293 | + | 0.337342i | ||||
\(935\) | −46.9214 | − | 67.9774i | −1.53449 | − | 2.22310i | ||||
\(936\) | −3.71283 | + | 8.58376i | −0.121358 | + | 0.280569i | ||||
\(937\) | −18.0171 | + | 26.1022i | −0.588592 | + | 0.852722i | −0.998227 | − | 0.0595274i | \(-0.981041\pi\) |
0.409635 | + | 0.912249i | \(0.365656\pi\) | |||||||
\(938\) | 17.4403 | − | 8.27551i | 0.569445 | − | 0.270205i | ||||
\(939\) | −1.48075 | + | 0.936372i | −0.0483226 | + | 0.0305573i | ||||
\(940\) | 14.6582 | − | 2.38219i | 0.478098 | − | 0.0776985i | ||||
\(941\) | −2.92901 | + | 5.58077i | −0.0954831 | + | 0.181928i | −0.928513 | − | 0.371300i | \(-0.878912\pi\) |
0.833030 | + | 0.553228i | \(0.186604\pi\) | |||||||
\(942\) | 9.61672 | + | 7.85181i | 0.313330 | + | 0.255826i | ||||
\(943\) | −13.7154 | + | 13.1738i | −0.446634 | + | 0.428998i | ||||
\(944\) | 3.04219i | 0.0990149i | ||||||||
\(945\) | 3.36824 | + | 3.50671i | 0.109569 | + | 0.114073i | ||||
\(946\) | 34.0208 | − | 11.3578i | 1.10611 | − | 0.369275i | ||||
\(947\) | 1.74301 | + | 21.5910i | 0.0566401 | + | 0.701614i | 0.961304 | + | 0.275489i | \(0.0888396\pi\) |
−0.904664 | + | 0.426125i | \(0.859878\pi\) | |||||||
\(948\) | −1.87765 | + | 0.462800i | −0.0609833 | + | 0.0150310i | ||||
\(949\) | 18.5823 | + | 3.89966i | 0.603208 | + | 0.126588i | ||||
\(950\) | 5.41769 | + | 1.33534i | 0.175773 | + | 0.0433241i | ||||
\(951\) | −3.50223 | + | 21.5501i | −0.113568 | + | 0.698809i | ||||
\(952\) | 29.8321 | + | 36.5377i | 0.966863 | + | 1.18419i | ||||
\(953\) | −12.4165 | + | 9.33043i | −0.402211 | + | 0.302242i | −0.782530 | − | 0.622613i | \(-0.786071\pi\) |
0.380318 | + | 0.924856i | \(0.375815\pi\) | |||||||
\(954\) | −4.80887 | + | 5.42810i | −0.155693 | + | 0.175741i | ||||
\(955\) | −7.35777 | − | 45.2742i | −0.238092 | − | 1.46504i | ||||
\(956\) | −2.29845 | + | 28.4714i | −0.0743373 | + | 0.920832i | ||||
\(957\) | −8.37020 | − | 33.9592i | −0.270570 | − | 1.09775i | ||||
\(958\) | 1.20686 | + | 4.16657i | 0.0389919 | + | 0.134616i | ||||
\(959\) | 1.24546 | + | 6.10066i | 0.0402179 | + | 0.197000i | ||||
\(960\) | −3.96377 | + | 3.23632i | −0.127930 | + | 0.104452i | ||||
\(961\) | −6.84352 | + | 56.3615i | −0.220759 | + | 1.81811i | ||||
\(962\) | 6.78261 | + | 14.4984i | 0.218680 | + | 0.467446i | ||||
\(963\) | −0.226086 | − | 1.86199i | −0.00728552 | − | 0.0600017i | ||||
\(964\) | 26.3592 | + | 25.3184i | 0.848974 | + | 0.815451i | ||||
\(965\) | 4.74248 | − | 4.93745i | 0.152666 | − | 0.158942i | ||||
\(966\) | 4.54472 | − | 9.57780i | 0.146224 | − | 0.308161i | ||||
\(967\) | 12.1684 | − | 8.39926i | 0.391310 | − | 0.270102i | −0.356123 | − | 0.934439i | \(-0.615902\pi\) |
0.747433 | + | 0.664337i | \(0.231286\pi\) | |||||||
\(968\) | 33.7180 | − | 53.3208i | 1.08374 | − | 1.71380i | ||||
\(969\) | −24.8693 | − | 33.0950i | −0.798916 | − | 1.06316i | ||||
\(970\) | −0.239685 | − | 0.456681i | −0.00769582 | − | 0.0146632i | ||||
\(971\) | −9.17194 | + | 44.9271i | −0.294341 | + | 1.44178i | 0.516386 | + | 0.856356i | \(0.327277\pi\) |
−0.810727 | + | 0.585424i | \(0.800928\pi\) | |||||||
\(972\) | −1.42254 | + | 0.114840i | −0.0456281 | + | 0.00368348i | ||||
\(973\) | −8.99775 | − | 2.60623i | −0.288455 | − | 0.0835519i | ||||
\(974\) | 25.2046 | + | 13.2284i | 0.807606 | + | 0.423864i | ||||
\(975\) | −3.44824 | − | 3.08872i | −0.110432 | − | 0.0989181i | ||||
\(976\) | 0.263358 | − | 0.138221i | 0.00842987 | − | 0.00442434i | ||||
\(977\) | 22.0494 | − | 4.50141i | 0.705421 | − | 0.144013i | 0.166095 | − | 0.986110i | \(-0.446884\pi\) |
0.539326 | + | 0.842097i | \(0.318679\pi\) | |||||||
\(978\) | −4.57750 | − | 3.43977i | −0.146372 | − | 0.109992i | ||||
\(979\) | 0.0573582 | + | 1.42333i | 0.00183317 | + | 0.0454898i | ||||
\(980\) | 1.64085 | − | 0.622293i | 0.0524151 | − | 0.0198784i | ||||
\(981\) | 1.02397 | − | 0.296596i | 0.0326928 | − | 0.00946959i | ||||
\(982\) | −1.24143 | − | 0.253439i | −0.0396155 | − | 0.00808756i | ||||
\(983\) | −5.60869 | − | 6.33090i | −0.178889 | − | 0.201924i | 0.652226 | − | 0.758025i | \(-0.273835\pi\) |
−0.831115 | + | 0.556101i | \(0.812297\pi\) | |||||||
\(984\) | 5.61790 | − | 6.88068i | 0.179092 | − | 0.219348i | ||||
\(985\) | 0.420291 | − | 10.4294i | 0.0133916 | − | 0.332309i | ||||
\(986\) | −10.1688 | − | 30.4594i | −0.323842 | − | 0.970024i | ||||
\(987\) | 10.1912 | − | 9.02858i | 0.324388 | − | 0.287383i | ||||
\(988\) | 19.4719 | + | 22.2230i | 0.619483 | + | 0.707009i | ||||
\(989\) | 33.1439 | + | 29.3629i | 1.05391 | + | 0.933686i | ||||
\(990\) | 3.39878 | − | 7.97724i | 0.108020 | − | 0.253533i | ||||
\(991\) | 17.5632 | − | 30.4204i | 0.557914 | − | 0.966335i | −0.439757 | − | 0.898117i | \(-0.644935\pi\) |
0.997670 | − | 0.0682178i | \(-0.0217313\pi\) | |||||||
\(992\) | −27.4611 | − | 47.5641i | −0.871892 | − | 1.51016i | ||||
\(993\) | −30.0429 | + | 3.64786i | −0.953382 | + | 0.115761i | ||||
\(994\) | −6.12434 | − | 2.90604i | −0.194252 | − | 0.0921739i | ||||
\(995\) | −28.0335 | + | 16.1852i | −0.888723 | + | 0.513104i | ||||
\(996\) | 9.94466 | + | 6.86430i | 0.315109 | + | 0.217504i | ||||
\(997\) | −11.2602 | + | 4.79752i | −0.356614 | + | 0.151939i | −0.562841 | − | 0.826565i | \(-0.690292\pi\) |
0.206227 | + | 0.978504i | \(0.433881\pi\) | |||||||
\(998\) | −12.6639 | − | 2.05808i | −0.400868 | − | 0.0651474i | ||||
\(999\) | −3.52370 | + | 4.68920i | −0.111485 | + | 0.148360i |
(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 | 507.2.t.a.4.9 | ✓ | 336 | |
169.127 | even | 78 | inner | 507.2.t.a.127.9 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.t.a.4.9 | ✓ | 336 | 1.1 | even | 1 | trivial | |
507.2.t.a.127.9 | yes | 336 | 169.127 | even | 78 | inner |