Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 59.4 | ||
Character | \(\chi\) | \(=\) | 144.59 |
Dual form | 144.2.u.a.83.4 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26595 | + | 0.630383i | −0.895158 | + | 0.445748i | ||||
\(3\) | −0.377192 | − | 1.69048i | −0.217772 | − | 0.976000i | ||||
\(4\) | 1.20523 | − | 1.59606i | 0.602617 | − | 0.798030i | ||||
\(5\) | 0.282421 | + | 1.05401i | 0.126303 | + | 0.471368i | 0.999883 | − | 0.0153123i | \(-0.00487426\pi\) |
−0.873580 | + | 0.486681i | \(0.838208\pi\) | |||||||
\(6\) | 1.54316 | + | 1.90228i | 0.629990 | + | 0.776603i | ||||
\(7\) | −1.93586 | − | 3.35301i | −0.731687 | − | 1.26732i | −0.956162 | − | 0.292839i | \(-0.905400\pi\) |
0.224475 | − | 0.974480i | \(-0.427933\pi\) | |||||||
\(8\) | −0.519632 | + | 2.78028i | −0.183718 | + | 0.982979i | ||||
\(9\) | −2.71545 | + | 1.27527i | −0.905151 | + | 0.425091i | ||||
\(10\) | −1.02196 | − | 1.15629i | −0.323172 | − | 0.365650i | ||||
\(11\) | 0.946349 | − | 3.53182i | 0.285335 | − | 1.06488i | −0.663259 | − | 0.748390i | \(-0.730827\pi\) |
0.948594 | − | 0.316495i | \(-0.102506\pi\) | |||||||
\(12\) | −3.15272 | − | 1.43540i | −0.910111 | − | 0.414366i | ||||
\(13\) | −1.03950 | − | 3.87946i | −0.288305 | − | 1.07597i | −0.946390 | − | 0.323025i | \(-0.895300\pi\) |
0.658085 | − | 0.752943i | \(-0.271367\pi\) | |||||||
\(14\) | 4.56438 | + | 3.02439i | 1.21988 | + | 0.808303i | ||||
\(15\) | 1.67526 | − | 0.874993i | 0.432550 | − | 0.225922i | ||||
\(16\) | −1.09482 | − | 3.84726i | −0.273705 | − | 0.961814i | ||||
\(17\) | − | 1.55026i | − | 0.375994i | −0.982170 | − | 0.187997i | \(-0.939800\pi\) | ||
0.982170 | − | 0.187997i | \(-0.0601995\pi\) | |||||||
\(18\) | 2.63370 | − | 3.32620i | 0.620770 | − | 0.783993i | ||||
\(19\) | 4.06175 | + | 4.06175i | 0.931829 | + | 0.931829i | 0.997820 | − | 0.0659916i | \(-0.0210211\pi\) |
−0.0659916 | + | 0.997820i | \(0.521021\pi\) | |||||||
\(20\) | 2.02265 | + | 0.819569i | 0.452278 | + | 0.183261i | ||||
\(21\) | −4.93801 | + | 4.53727i | −1.07756 | + | 0.990113i | ||||
\(22\) | 1.02837 | + | 5.06766i | 0.219250 | + | 1.08043i | ||||
\(23\) | −3.86595 | − | 2.23201i | −0.806106 | − | 0.465405i | 0.0394958 | − | 0.999220i | \(-0.487425\pi\) |
−0.845602 | + | 0.533814i | \(0.820758\pi\) | |||||||
\(24\) | 4.89602 | − | 0.170274i | 0.999396 | − | 0.0347571i | ||||
\(25\) | 3.29895 | − | 1.90465i | 0.659790 | − | 0.380930i | ||||
\(26\) | 3.76149 | + | 4.25590i | 0.737690 | + | 0.834651i | ||||
\(27\) | 3.18007 | + | 4.10940i | 0.612005 | + | 0.790854i | ||||
\(28\) | −7.68478 | − | 0.951413i | −1.45229 | − | 0.179800i | ||||
\(29\) | −1.14814 | + | 4.28493i | −0.213205 | + | 0.795691i | 0.773586 | + | 0.633691i | \(0.218461\pi\) |
−0.986791 | + | 0.162000i | \(0.948206\pi\) | |||||||
\(30\) | −1.56921 | + | 2.16375i | −0.286496 | + | 0.395045i | ||||
\(31\) | −1.85935 | − | 1.07349i | −0.333948 | − | 0.192805i | 0.323644 | − | 0.946179i | \(-0.395092\pi\) |
−0.657593 | + | 0.753374i | \(0.728425\pi\) | |||||||
\(32\) | 3.81122 | + | 4.18026i | 0.673736 | + | 0.738972i | ||||
\(33\) | −6.32743 | − | 0.267609i | −1.10146 | − | 0.0465847i | ||||
\(34\) | 0.977259 | + | 1.96255i | 0.167599 | + | 0.336574i | ||||
\(35\) | 2.98738 | − | 2.98738i | 0.504960 | − | 0.504960i | ||||
\(36\) | −1.23734 | + | 5.87103i | −0.206224 | + | 0.978505i | ||||
\(37\) | 6.04318 | + | 6.04318i | 0.993493 | + | 0.993493i | 0.999979 | − | 0.00648560i | \(-0.00206445\pi\) |
−0.00648560 | + | 0.999979i | \(0.502064\pi\) | |||||||
\(38\) | −7.70240 | − | 2.58149i | −1.24949 | − | 0.418773i | ||||
\(39\) | −6.16606 | + | 3.22055i | −0.987360 | + | 0.515702i | ||||
\(40\) | −3.07721 | + | 0.237514i | −0.486549 | + | 0.0375543i | ||||
\(41\) | −1.59725 | + | 2.76652i | −0.249449 | + | 0.432058i | −0.963373 | − | 0.268165i | \(-0.913583\pi\) |
0.713924 | + | 0.700223i | \(0.246916\pi\) | |||||||
\(42\) | 3.39103 | − | 8.85677i | 0.523248 | − | 1.36663i | ||||
\(43\) | 5.51650 | + | 1.47814i | 0.841259 | + | 0.225415i | 0.653619 | − | 0.756823i | \(-0.273250\pi\) |
0.187639 | + | 0.982238i | \(0.439916\pi\) | |||||||
\(44\) | −4.49643 | − | 5.76711i | −0.677862 | − | 0.869424i | ||||
\(45\) | −2.11105 | − | 2.50195i | −0.314697 | − | 0.372969i | ||||
\(46\) | 6.30110 | + | 0.388570i | 0.929046 | + | 0.0572915i | ||||
\(47\) | −0.0494357 | − | 0.0856252i | −0.00721094 | − | 0.0124897i | 0.862397 | − | 0.506232i | \(-0.168962\pi\) |
−0.869608 | + | 0.493742i | \(0.835629\pi\) | |||||||
\(48\) | −6.09075 | + | 3.30192i | −0.879125 | + | 0.476592i | ||||
\(49\) | −3.99512 | + | 6.91976i | −0.570732 | + | 0.988537i | ||||
\(50\) | −2.97563 | + | 4.49078i | −0.420818 | + | 0.635093i | ||||
\(51\) | −2.62069 | + | 0.584747i | −0.366970 | + | 0.0818810i | ||||
\(52\) | −7.44469 | − | 3.01656i | −1.03239 | − | 0.418321i | ||||
\(53\) | 1.72094 | − | 1.72094i | 0.236389 | − | 0.236389i | −0.578964 | − | 0.815353i | \(-0.696543\pi\) |
0.815353 | + | 0.578964i | \(0.196543\pi\) | |||||||
\(54\) | −6.61629 | − | 3.19761i | −0.900363 | − | 0.435139i | ||||
\(55\) | 3.98985 | 0.537991 | ||||||||
\(56\) | 10.3283 | − | 3.63992i | 1.38017 | − | 0.486404i | ||||
\(57\) | 5.33425 | − | 8.39837i | 0.706538 | − | 1.11239i | ||||
\(58\) | −1.24766 | − | 6.14826i | −0.163826 | − | 0.807306i | ||||
\(59\) | 13.3806 | − | 3.58531i | 1.74200 | − | 0.466768i | 0.759112 | − | 0.650960i | \(-0.225633\pi\) |
0.982890 | + | 0.184192i | \(0.0589668\pi\) | |||||||
\(60\) | 0.622538 | − | 3.72839i | 0.0803693 | − | 0.481333i | ||||
\(61\) | 8.69586 | + | 2.33005i | 1.11339 | + | 0.298332i | 0.768206 | − | 0.640203i | \(-0.221150\pi\) |
0.345184 | + | 0.938535i | \(0.387816\pi\) | |||||||
\(62\) | 3.03054 | + | 0.186885i | 0.384879 | + | 0.0237344i | ||||
\(63\) | 9.53275 | + | 6.63619i | 1.20101 | + | 0.836081i | ||||
\(64\) | −7.45997 | − | 2.88945i | −0.932496 | − | 0.361181i | ||||
\(65\) | 3.79542 | − | 2.19129i | 0.470764 | − | 0.271796i | ||||
\(66\) | 8.17888 | − | 3.64993i | 1.00675 | − | 0.449275i | ||||
\(67\) | −0.939315 | + | 0.251689i | −0.114756 | + | 0.0307487i | −0.315740 | − | 0.948846i | \(-0.602253\pi\) |
0.200984 | + | 0.979594i | \(0.435586\pi\) | |||||||
\(68\) | −2.47431 | − | 1.86843i | −0.300055 | − | 0.226581i | ||||
\(69\) | −2.31496 | + | 7.37721i | −0.278688 | + | 0.888111i | ||||
\(70\) | −1.89867 | + | 5.66506i | −0.226934 | + | 0.677104i | ||||
\(71\) | − | 7.11471i | − | 0.844361i | −0.906512 | − | 0.422180i | \(-0.861265\pi\) | ||
0.906512 | − | 0.422180i | \(-0.138735\pi\) | |||||||
\(72\) | −2.13459 | − | 8.21240i | −0.251563 | − | 0.967841i | ||||
\(73\) | − | 10.4116i | − | 1.21859i | −0.792945 | − | 0.609293i | \(-0.791453\pi\) | ||
0.792945 | − | 0.609293i | \(-0.208547\pi\) | |||||||
\(74\) | −11.4599 | − | 3.84082i | −1.33218 | − | 0.446486i | ||||
\(75\) | −4.46411 | − | 4.85839i | −0.515471 | − | 0.560999i | ||||
\(76\) | 11.3782 | − | 1.58744i | 1.30516 | − | 0.182091i | ||||
\(77\) | −13.6742 | + | 3.66400i | −1.55832 | + | 0.417552i | ||||
\(78\) | 5.77572 | − | 7.96403i | 0.653971 | − | 0.901749i | ||||
\(79\) | −14.2402 | + | 8.22160i | −1.60215 | + | 0.925003i | −0.611095 | + | 0.791557i | \(0.709271\pi\) |
−0.991056 | + | 0.133446i | \(0.957396\pi\) | |||||||
\(80\) | 3.74585 | − | 2.24050i | 0.418799 | − | 0.250495i | ||||
\(81\) | 5.74736 | − | 6.92588i | 0.638595 | − | 0.769543i | ||||
\(82\) | 0.278065 | − | 4.50914i | 0.0307072 | − | 0.497951i | ||||
\(83\) | −15.0170 | − | 4.02380i | −1.64833 | − | 0.441669i | −0.689186 | − | 0.724584i | \(-0.742032\pi\) |
−0.959145 | + | 0.282915i | \(0.908698\pi\) | |||||||
\(84\) | 1.29029 | + | 13.3498i | 0.140783 | + | 1.45659i | ||||
\(85\) | 1.63399 | − | 0.437828i | 0.177232 | − | 0.0474891i | ||||
\(86\) | −7.91539 | + | 1.60626i | −0.853538 | + | 0.173208i | ||||
\(87\) | 7.67666 | + | 0.324672i | 0.823025 | + | 0.0348085i | ||||
\(88\) | 9.32772 | + | 4.46637i | 0.994338 | + | 0.476116i | ||||
\(89\) | 11.2398 | 1.19142 | 0.595710 | − | 0.803200i | \(-0.296871\pi\) | ||||
0.595710 | + | 0.803200i | \(0.296871\pi\) | |||||||
\(90\) | 4.24967 | + | 1.83656i | 0.447954 | + | 0.193591i | ||||
\(91\) | −10.9956 | + | 10.9956i | −1.15265 | + | 1.15265i | ||||
\(92\) | −8.22179 | + | 3.48020i | −0.857181 | + | 0.362836i | ||||
\(93\) | −1.11339 | + | 3.54810i | −0.115453 | + | 0.367921i | ||||
\(94\) | 0.116560 | + | 0.0772333i | 0.0120222 | + | 0.00796601i | ||||
\(95\) | −3.13400 | + | 5.42825i | −0.321542 | + | 0.556927i | ||||
\(96\) | 5.62908 | − | 8.01956i | 0.574516 | − | 0.818493i | ||||
\(97\) | 0.0532804 | + | 0.0922843i | 0.00540980 | + | 0.00937005i | 0.868718 | − | 0.495308i | \(-0.164945\pi\) |
−0.863308 | + | 0.504678i | \(0.831611\pi\) | |||||||
\(98\) | 0.695511 | − | 11.2785i | 0.0702572 | − | 1.13930i | ||||
\(99\) | 1.93427 | + | 10.7973i | 0.194402 | + | 1.08517i | ||||
\(100\) | 0.936073 | − | 7.56087i | 0.0936073 | − | 0.756087i | ||||
\(101\) | −4.18366 | − | 1.12101i | −0.416290 | − | 0.111545i | 0.0445936 | − | 0.999005i | \(-0.485801\pi\) |
−0.460883 | + | 0.887461i | \(0.652467\pi\) | |||||||
\(102\) | 2.94904 | − | 2.39230i | 0.291998 | − | 0.236873i | ||||
\(103\) | −1.25063 | + | 2.16615i | −0.123228 | + | 0.213437i | −0.921039 | − | 0.389470i | \(-0.872658\pi\) |
0.797811 | + | 0.602908i | \(0.205991\pi\) | |||||||
\(104\) | 11.3262 | − | 0.874210i | 1.11062 | − | 0.0857233i | ||||
\(105\) | −6.17693 | − | 3.92330i | −0.602807 | − | 0.382874i | ||||
\(106\) | −1.09376 | + | 3.26346i | −0.106236 | + | 0.316975i | ||||
\(107\) | −6.01074 | − | 6.01074i | −0.581080 | − | 0.581080i | 0.354120 | − | 0.935200i | \(-0.384780\pi\) |
−0.935200 | + | 0.354120i | \(0.884780\pi\) | |||||||
\(108\) | 10.3916 | − | 0.122801i | 0.999930 | − | 0.0118165i | ||||
\(109\) | 0.880973 | − | 0.880973i | 0.0843819 | − | 0.0843819i | −0.663656 | − | 0.748038i | \(-0.730996\pi\) |
0.748038 | + | 0.663656i | \(0.230996\pi\) | |||||||
\(110\) | −5.05093 | + | 2.51513i | −0.481587 | + | 0.239809i | ||||
\(111\) | 7.93645 | − | 12.4953i | 0.753294 | − | 1.18600i | ||||
\(112\) | −10.7805 | + | 11.1187i | −1.01866 | + | 1.05062i | ||||
\(113\) | 2.13357 | + | 1.23182i | 0.200709 | + | 0.115880i | 0.596986 | − | 0.802251i | \(-0.296365\pi\) |
−0.396277 | + | 0.918131i | \(0.629698\pi\) | |||||||
\(114\) | −1.45868 | + | 13.9945i | −0.136618 | + | 1.31070i | ||||
\(115\) | 1.26073 | − | 4.70512i | 0.117564 | − | 0.438755i | ||||
\(116\) | 5.45522 | + | 6.99685i | 0.506505 | + | 0.649641i | ||||
\(117\) | 7.77008 | + | 9.20884i | 0.718344 | + | 0.851358i | ||||
\(118\) | −14.6790 | + | 12.9737i | −1.35131 | + | 1.19433i | ||||
\(119\) | −5.19805 | + | 3.00110i | −0.476504 | + | 0.275110i | ||||
\(120\) | 1.56221 | + | 5.11237i | 0.142610 | + | 0.466693i | ||||
\(121\) | −2.05191 | − | 1.18467i | −0.186538 | − | 0.107698i | ||||
\(122\) | −12.4773 | + | 2.53201i | −1.12964 | + | 0.229237i | ||||
\(123\) | 5.27922 | + | 1.65661i | 0.476011 | + | 0.149372i | ||||
\(124\) | −3.95431 | + | 1.67382i | −0.355107 | + | 0.150313i | ||||
\(125\) | 6.79716 | + | 6.79716i | 0.607957 | + | 0.607957i | ||||
\(126\) | −16.2513 | − | 2.39177i | −1.44778 | − | 0.213076i | ||||
\(127\) | − | 3.76697i | − | 0.334264i | −0.985934 | − | 0.167132i | \(-0.946549\pi\) | ||
0.985934 | − | 0.167132i | \(-0.0534507\pi\) | |||||||
\(128\) | 11.2654 | − | 1.04475i | 0.995727 | − | 0.0923437i | ||||
\(129\) | 0.417989 | − | 9.88309i | 0.0368019 | − | 0.870157i | ||||
\(130\) | −3.42344 | + | 5.16661i | −0.300256 | + | 0.453142i | ||||
\(131\) | 0.344757 | + | 1.28665i | 0.0301216 | + | 0.112415i | 0.979350 | − | 0.202173i | \(-0.0648003\pi\) |
−0.949228 | + | 0.314588i | \(0.898134\pi\) | |||||||
\(132\) | −8.05316 | + | 9.77644i | −0.700938 | + | 0.850930i | ||||
\(133\) | 5.75610 | − | 21.4821i | 0.499117 | − | 1.86273i | ||||
\(134\) | 1.03046 | − | 0.910752i | 0.0890183 | − | 0.0786770i | ||||
\(135\) | −3.43323 | + | 4.51241i | −0.295485 | + | 0.388367i | ||||
\(136\) | 4.31017 | + | 0.805566i | 0.369594 | + | 0.0690767i | ||||
\(137\) | 5.59673 | + | 9.69382i | 0.478161 | + | 0.828199i | 0.999687 | − | 0.0250365i | \(-0.00797020\pi\) |
−0.521526 | + | 0.853236i | \(0.674637\pi\) | |||||||
\(138\) | −1.71986 | − | 10.7985i | −0.146404 | − | 0.919225i | ||||
\(139\) | 0.808026 | + | 3.01559i | 0.0685359 | + | 0.255779i | 0.991690 | − | 0.128651i | \(-0.0410646\pi\) |
−0.923154 | + | 0.384430i | \(0.874398\pi\) | |||||||
\(140\) | −1.16755 | − | 8.36854i | −0.0986757 | − | 0.707271i | ||||
\(141\) | −0.126101 | + | 0.115867i | −0.0106196 | + | 0.00975779i | ||||
\(142\) | 4.48499 | + | 9.00683i | 0.376372 | + | 0.755837i | ||||
\(143\) | −14.6853 | −1.22805 | ||||||||
\(144\) | 7.87923 | + | 9.05084i | 0.656602 | + | 0.754237i | ||||
\(145\) | −4.84062 | −0.401992 | ||||||||
\(146\) | 6.56330 | + | 13.1805i | 0.543182 | + | 1.09083i | ||||
\(147\) | 13.2047 | + | 4.14360i | 1.08910 | + | 0.341759i | ||||
\(148\) | 16.9287 | − | 2.36183i | 1.39153 | − | 0.194141i | ||||
\(149\) | −3.87683 | − | 14.4685i | −0.317602 | − | 1.18531i | −0.921543 | − | 0.388277i | \(-0.873070\pi\) |
0.603941 | − | 0.797029i | \(-0.293596\pi\) | |||||||
\(150\) | 8.71397 | + | 3.33636i | 0.711493 | + | 0.272413i | ||||
\(151\) | −0.301388 | − | 0.522019i | −0.0245266 | − | 0.0424813i | 0.853502 | − | 0.521090i | \(-0.174475\pi\) |
−0.878028 | + | 0.478609i | \(0.841141\pi\) | |||||||
\(152\) | −13.4034 | + | 9.18220i | −1.08716 | + | 0.744775i | ||||
\(153\) | 1.97701 | + | 4.20966i | 0.159832 | + | 0.340331i | ||||
\(154\) | 15.0011 | − | 13.2584i | 1.20882 | − | 1.06840i | ||||
\(155\) | 0.606355 | − | 2.26295i | 0.0487036 | − | 0.181764i | ||||
\(156\) | −2.29135 | + | 13.7229i | −0.183455 | + | 1.09871i | ||||
\(157\) | −1.80210 | − | 6.72554i | −0.143823 | − | 0.536756i | −0.999805 | − | 0.0197500i | \(-0.993713\pi\) |
0.855981 | − | 0.517006i | \(-0.172954\pi\) | |||||||
\(158\) | 12.8446 | − | 19.3849i | 1.02186 | − | 1.54218i | ||||
\(159\) | −3.55833 | − | 2.26009i | −0.282194 | − | 0.179237i | ||||
\(160\) | −3.32967 | + | 5.19767i | −0.263233 | + | 0.410912i | ||||
\(161\) | 17.2834i | 1.36212i | ||||||||
\(162\) | −2.90988 | + | 12.3908i | −0.228622 | + | 0.973515i | ||||
\(163\) | 7.73897 | + | 7.73897i | 0.606163 | + | 0.606163i | 0.941941 | − | 0.335778i | \(-0.108999\pi\) |
−0.335778 | + | 0.941941i | \(0.608999\pi\) | |||||||
\(164\) | 2.49047 | + | 5.88362i | 0.194473 | + | 0.459433i | ||||
\(165\) | −1.50494 | − | 6.74477i | −0.117159 | − | 0.525079i | ||||
\(166\) | 21.5472 | − | 4.37256i | 1.67239 | − | 0.339377i | ||||
\(167\) | 16.3533 | + | 9.44158i | 1.26546 | + | 0.730611i | 0.974125 | − | 0.226011i | \(-0.0725684\pi\) |
0.291331 | + | 0.956622i | \(0.405902\pi\) | |||||||
\(168\) | −10.0490 | − | 16.0868i | −0.775293 | − | 1.24112i | ||||
\(169\) | −2.71133 | + | 1.56539i | −0.208564 | + | 0.120414i | ||||
\(170\) | −1.79255 | + | 1.58431i | −0.137482 | + | 0.121511i | ||||
\(171\) | −16.2093 | − | 5.84964i | −1.23956 | − | 0.447333i | ||||
\(172\) | 9.00789 | − | 7.02316i | 0.686845 | − | 0.535511i | ||||
\(173\) | 4.38336 | − | 16.3589i | 0.333261 | − | 1.24375i | −0.572481 | − | 0.819918i | \(-0.694019\pi\) |
0.905742 | − | 0.423829i | \(-0.139314\pi\) | |||||||
\(174\) | −9.92290 | + | 4.42822i | −0.752253 | + | 0.335703i | ||||
\(175\) | −12.7726 | − | 7.37428i | −0.965519 | − | 0.557443i | ||||
\(176\) | −14.6239 | + | 0.225858i | −1.10232 | + | 0.0170247i | ||||
\(177\) | −11.1080 | − | 21.2673i | −0.834925 | − | 1.59854i | ||||
\(178\) | −14.2290 | + | 7.08539i | −1.06651 | + | 0.531073i | ||||
\(179\) | −4.85114 | + | 4.85114i | −0.362591 | + | 0.362591i | −0.864766 | − | 0.502175i | \(-0.832533\pi\) |
0.502175 | + | 0.864766i | \(0.332533\pi\) | |||||||
\(180\) | −6.53758 | + | 0.353930i | −0.487283 | + | 0.0263804i | ||||
\(181\) | −1.98842 | − | 1.98842i | −0.147798 | − | 0.147798i | 0.629336 | − | 0.777134i | \(-0.283327\pi\) |
−0.777134 | + | 0.629336i | \(0.783327\pi\) | |||||||
\(182\) | 6.98836 | − | 20.8512i | 0.518012 | − | 1.54559i | ||||
\(183\) | 0.658891 | − | 15.5791i | 0.0487066 | − | 1.15164i | ||||
\(184\) | 8.21448 | − | 9.58862i | 0.605580 | − | 0.706882i | ||||
\(185\) | −4.66286 | + | 8.07631i | −0.342820 | + | 0.593782i | ||||
\(186\) | −0.827172 | − | 5.19356i | −0.0606512 | − | 0.380811i | ||||
\(187\) | −5.47525 | − | 1.46709i | −0.400390 | − | 0.107284i | ||||
\(188\) | −0.196245 | − | 0.0242960i | −0.0143126 | − | 0.00177197i | ||||
\(189\) | 7.62267 | − | 18.6180i | 0.554468 | − | 1.35426i | ||||
\(190\) | 0.545598 | − | 8.84749i | 0.0395819 | − | 0.641864i | ||||
\(191\) | 10.1997 | + | 17.6664i | 0.738025 | + | 1.27830i | 0.953383 | + | 0.301762i | \(0.0975748\pi\) |
−0.215358 | + | 0.976535i | \(0.569092\pi\) | |||||||
\(192\) | −2.07072 | + | 13.7008i | −0.149441 | + | 0.988771i | ||||
\(193\) | −8.30403 | + | 14.3830i | −0.597737 | + | 1.03531i | 0.395417 | + | 0.918502i | \(0.370600\pi\) |
−0.993154 | + | 0.116809i | \(0.962733\pi\) | |||||||
\(194\) | −0.125624 | − | 0.0832398i | −0.00901931 | − | 0.00597627i | ||||
\(195\) | −5.13593 | − | 5.58955i | −0.367792 | − | 0.400276i | ||||
\(196\) | 6.22929 | + | 14.7164i | 0.444949 | + | 1.05117i | ||||
\(197\) | −2.03806 | + | 2.03806i | −0.145206 | + | 0.145206i | −0.775972 | − | 0.630767i | \(-0.782740\pi\) |
0.630767 | + | 0.775972i | \(0.282740\pi\) | |||||||
\(198\) | −9.25515 | − | 12.4495i | −0.657735 | − | 0.884749i | ||||
\(199\) | −9.19698 | −0.651956 | −0.325978 | − | 0.945377i | \(-0.605694\pi\) | ||||
−0.325978 | + | 0.945377i | \(0.605694\pi\) | |||||||
\(200\) | 3.58123 | + | 10.1617i | 0.253231 | + | 0.718543i | ||||
\(201\) | 0.779777 | + | 1.49296i | 0.0550012 | + | 0.105305i | ||||
\(202\) | 6.00295 | − | 1.21817i | 0.422366 | − | 0.0857104i | ||||
\(203\) | 16.5901 | − | 4.44529i | 1.16439 | − | 0.311999i | ||||
\(204\) | −2.22525 | + | 4.88754i | −0.155799 | + | 0.342196i | ||||
\(205\) | −3.36704 | − | 0.902196i | −0.235164 | − | 0.0630121i | ||||
\(206\) | 0.217722 | − | 3.53061i | 0.0151694 | − | 0.245989i | ||||
\(207\) | 13.3442 | + | 1.13077i | 0.927487 | + | 0.0785937i | ||||
\(208\) | −13.7872 | + | 8.24652i | −0.955971 | + | 0.571793i | ||||
\(209\) | 18.1892 | − | 10.5015i | 1.25817 | − | 0.726407i | ||||
\(210\) | 10.2928 | + | 1.07285i | 0.710273 | + | 0.0740334i | ||||
\(211\) | −14.9104 | + | 3.99524i | −1.02648 | + | 0.275043i | −0.732498 | − | 0.680769i | \(-0.761646\pi\) |
−0.293978 | + | 0.955812i | \(0.594979\pi\) | |||||||
\(212\) | −0.672586 | − | 4.82085i | −0.0461934 | − | 0.331097i | ||||
\(213\) | −12.0273 | + | 2.68361i | −0.824096 | + | 0.183878i | ||||
\(214\) | 11.3983 | + | 3.82020i | 0.779174 | + | 0.261143i | ||||
\(215\) | 6.23192i | 0.425013i | ||||||||
\(216\) | −13.0778 | + | 6.70613i | −0.889829 | + | 0.456295i | ||||
\(217\) | 8.31254i | 0.564292i | ||||||||
\(218\) | −0.559913 | + | 1.67061i | −0.0379221 | + | 0.113148i | ||||
\(219\) | −17.6006 | + | 3.92718i | −1.18934 | + | 0.265374i | ||||
\(220\) | 4.80871 | − | 6.36804i | 0.324203 | − | 0.429333i | ||||
\(221\) | −6.01418 | + | 1.61150i | −0.404558 | + | 0.108401i | ||||
\(222\) | −2.17026 | + | 20.8214i | −0.145658 | + | 1.39744i | ||||
\(223\) | 15.1760 | − | 8.76186i | 1.01626 | − | 0.586738i | 0.103241 | − | 0.994656i | \(-0.467079\pi\) |
0.913018 | + | 0.407918i | \(0.133745\pi\) | |||||||
\(224\) | 6.63845 | − | 20.8715i | 0.443550 | − | 1.39453i | ||||
\(225\) | −6.52919 | + | 9.37904i | −0.435279 | + | 0.625270i | ||||
\(226\) | −3.47750 | − | 0.214447i | −0.231320 | − | 0.0142648i | ||||
\(227\) | 19.5912 | + | 5.24944i | 1.30031 | + | 0.348418i | 0.841569 | − | 0.540150i | \(-0.181633\pi\) |
0.458745 | + | 0.888568i | \(0.348299\pi\) | |||||||
\(228\) | −6.97528 | − | 18.6358i | −0.461949 | − | 1.23418i | ||||
\(229\) | 15.0365 | − | 4.02901i | 0.993638 | − | 0.266244i | 0.274860 | − | 0.961484i | \(-0.411369\pi\) |
0.718778 | + | 0.695240i | \(0.244702\pi\) | |||||||
\(230\) | 1.37001 | + | 6.75117i | 0.0903357 | + | 0.445159i | ||||
\(231\) | 11.3517 | + | 21.7340i | 0.746890 | + | 1.42999i | ||||
\(232\) | −11.3167 | − | 5.41875i | −0.742979 | − | 0.355758i | ||||
\(233\) | −27.1681 | −1.77984 | −0.889920 | − | 0.456116i | \(-0.849240\pi\) | ||||
−0.889920 | + | 0.456116i | \(0.849240\pi\) | |||||||
\(234\) | −15.6416 | − | 6.75977i | −1.02252 | − | 0.441900i | ||||
\(235\) | 0.0762882 | − | 0.0762882i | 0.00497649 | − | 0.00497649i | ||||
\(236\) | 10.4044 | − | 25.6773i | 0.677266 | − | 1.67145i | ||||
\(237\) | 19.2698 | + | 20.9717i | 1.25171 | + | 1.36226i | ||||
\(238\) | 4.68861 | − | 7.07598i | 0.303917 | − | 0.458668i | ||||
\(239\) | 2.48037 | − | 4.29612i | 0.160442 | − | 0.277893i | −0.774586 | − | 0.632469i | \(-0.782041\pi\) |
0.935027 | + | 0.354576i | \(0.115375\pi\) | |||||||
\(240\) | −5.20043 | − | 5.48719i | −0.335686 | − | 0.354197i | ||||
\(241\) | −4.93768 | − | 8.55231i | −0.318064 | − | 0.550903i | 0.662020 | − | 0.749486i | \(-0.269699\pi\) |
−0.980084 | + | 0.198583i | \(0.936366\pi\) | |||||||
\(242\) | 3.34441 | + | 0.206240i | 0.214987 | + | 0.0132576i | ||||
\(243\) | −13.8759 | − | 7.10341i | −0.890142 | − | 0.455684i | ||||
\(244\) | 14.1994 | − | 11.0709i | 0.909026 | − | 0.708739i | ||||
\(245\) | −8.42181 | − | 2.25662i | −0.538050 | − | 0.144170i | ||||
\(246\) | −7.72750 | + | 1.23075i | −0.492688 | + | 0.0784697i | ||||
\(247\) | 11.5352 | − | 19.9796i | 0.733968 | − | 1.27127i | ||||
\(248\) | 3.95079 | − | 4.61169i | 0.250876 | − | 0.292842i | ||||
\(249\) | −1.13785 | + | 26.9037i | −0.0721082 | + | 1.70495i | ||||
\(250\) | −12.8897 | − | 4.32002i | −0.815213 | − | 0.273222i | ||||
\(251\) | 1.77292 | + | 1.77292i | 0.111906 | + | 0.111906i | 0.760842 | − | 0.648937i | \(-0.224786\pi\) |
−0.648937 | + | 0.760842i | \(0.724786\pi\) | |||||||
\(252\) | 22.0810 | − | 7.21667i | 1.39097 | − | 0.454608i | ||||
\(253\) | −11.5416 | + | 11.5416i | −0.725613 | + | 0.725613i | ||||
\(254\) | 2.37463 | + | 4.76878i | 0.148998 | + | 0.299220i | ||||
\(255\) | −1.35647 | − | 2.59709i | −0.0849454 | − | 0.162636i | ||||
\(256\) | −13.6027 | + | 8.42409i | −0.850172 | + | 0.526506i | ||||
\(257\) | 14.6473 | + | 8.45663i | 0.913674 | + | 0.527510i | 0.881612 | − | 0.471976i | \(-0.156459\pi\) |
0.0320628 | + | 0.999486i | \(0.489792\pi\) | |||||||
\(258\) | 5.70098 | + | 12.7749i | 0.354927 | + | 0.795333i | ||||
\(259\) | 8.56410 | − | 31.9616i | 0.532147 | − | 1.98600i | ||||
\(260\) | 1.07695 | − | 8.69873i | 0.0667893 | − | 0.539472i | ||||
\(261\) | −2.34673 | − | 13.0997i | −0.145259 | − | 0.810852i | ||||
\(262\) | −1.24753 | − | 1.41150i | −0.0770724 | − | 0.0872028i | ||||
\(263\) | −17.9408 | + | 10.3581i | −1.10627 | + | 0.638708i | −0.937862 | − | 0.347009i | \(-0.887197\pi\) |
−0.168413 | + | 0.985717i | \(0.553864\pi\) | |||||||
\(264\) | 4.03196 | − | 17.4530i | 0.248150 | − | 1.07416i | ||||
\(265\) | 2.29992 | + | 1.32786i | 0.141283 | + | 0.0815696i | ||||
\(266\) | 6.25502 | + | 30.8237i | 0.383520 | + | 1.88992i | ||||
\(267\) | −4.23958 | − | 19.0007i | −0.259458 | − | 1.16282i | ||||
\(268\) | −0.730385 | + | 1.80255i | −0.0446153 | + | 0.110108i | ||||
\(269\) | 15.1523 | + | 15.1523i | 0.923853 | + | 0.923853i | 0.997299 | − | 0.0734463i | \(-0.0233998\pi\) |
−0.0734463 | + | 0.997299i | \(0.523400\pi\) | |||||||
\(270\) | 1.50173 | − | 7.87672i | 0.0913925 | − | 0.479362i | ||||
\(271\) | − | 20.0322i | − | 1.21687i | −0.793603 | − | 0.608436i | \(-0.791797\pi\) | ||
0.793603 | − | 0.608436i | \(-0.208203\pi\) | |||||||
\(272\) | −5.96426 | + | 1.69726i | −0.361636 | + | 0.102911i | ||||
\(273\) | 22.7352 | + | 14.4403i | 1.37600 | + | 0.873969i | ||||
\(274\) | −13.1960 | − | 8.74377i | −0.797198 | − | 0.528230i | ||||
\(275\) | −3.60493 | − | 13.4538i | −0.217385 | − | 0.811293i | ||||
\(276\) | 8.98440 | + | 12.5861i | 0.540797 | + | 0.757593i | ||||
\(277\) | −7.20063 | + | 26.8731i | −0.432644 | + | 1.61465i | 0.313998 | + | 0.949424i | \(0.398331\pi\) |
−0.746642 | + | 0.665226i | \(0.768335\pi\) | |||||||
\(278\) | −2.92389 | − | 3.30821i | −0.175364 | − | 0.198413i | ||||
\(279\) | 6.41796 | + | 0.543847i | 0.384233 | + | 0.0325593i | ||||
\(280\) | 6.75344 | + | 9.85811i | 0.403595 | + | 0.589135i | ||||
\(281\) | −8.83494 | − | 15.3026i | −0.527048 | − | 0.912874i | −0.999503 | − | 0.0315195i | \(-0.989965\pi\) |
0.472455 | − | 0.881355i | \(-0.343368\pi\) | |||||||
\(282\) | 0.0865961 | − | 0.226174i | 0.00515672 | − | 0.0134684i | ||||
\(283\) | 6.30060 | + | 23.5142i | 0.374532 | + | 1.39777i | 0.854028 | + | 0.520228i | \(0.174153\pi\) |
−0.479496 | + | 0.877544i | \(0.659180\pi\) | |||||||
\(284\) | −11.3555 | − | 8.57490i | −0.673826 | − | 0.508827i | ||||
\(285\) | 10.3585 | + | 3.25048i | 0.613583 | + | 0.192542i | ||||
\(286\) | 18.5908 | − | 9.25736i | 1.09930 | − | 0.547399i | ||||
\(287\) | 12.3682 | 0.730074 | ||||||||
\(288\) | −15.6802 | − | 6.49094i | −0.923963 | − | 0.382482i | ||||
\(289\) | 14.5967 | 0.858629 | ||||||||
\(290\) | 6.12797 | − | 3.05145i | 0.359847 | − | 0.179187i | ||||
\(291\) | 0.135908 | − | 0.124878i | 0.00796706 | − | 0.00732050i | ||||
\(292\) | −16.6175 | − | 12.5484i | −0.972468 | − | 0.734341i | ||||
\(293\) | −1.34920 | − | 5.03527i | −0.0788209 | − | 0.294164i | 0.915252 | − | 0.402883i | \(-0.131992\pi\) |
−0.994073 | + | 0.108719i | \(0.965325\pi\) | |||||||
\(294\) | −19.3284 | + | 3.07841i | −1.12726 | + | 0.179537i | ||||
\(295\) | 7.55792 | + | 13.0907i | 0.440039 | + | 0.762170i | ||||
\(296\) | −19.9420 | + | 13.6615i | −1.15911 | + | 0.794061i | ||||
\(297\) | 17.5231 | − | 7.34253i | 1.01679 | − | 0.426057i | ||||
\(298\) | 14.0286 | + | 15.8725i | 0.812652 | + | 0.919467i | ||||
\(299\) | −4.64033 | + | 17.3180i | −0.268357 | + | 1.00152i | ||||
\(300\) | −13.1346 | + | 1.26949i | −0.758326 | + | 0.0732940i | ||||
\(301\) | −5.72296 | − | 21.3584i | −0.329866 | − | 1.23108i | ||||
\(302\) | 0.710612 | + | 0.470857i | 0.0408911 | + | 0.0270948i | ||||
\(303\) | −0.316999 | + | 7.49524i | −0.0182111 | + | 0.430590i | ||||
\(304\) | 11.1797 | − | 20.0735i | 0.641200 | − | 1.15129i | ||||
\(305\) | 9.82358i | 0.562497i | ||||||||
\(306\) | −5.15648 | − | 4.08293i | −0.294777 | − | 0.233406i | ||||
\(307\) | 2.82663 | + | 2.82663i | 0.161324 | + | 0.161324i | 0.783153 | − | 0.621829i | \(-0.213610\pi\) |
−0.621829 | + | 0.783153i | \(0.713610\pi\) | |||||||
\(308\) | −10.6327 | + | 26.2409i | −0.605855 | + | 1.49521i | ||||
\(309\) | 4.13357 | + | 1.29711i | 0.235150 | + | 0.0737899i | ||||
\(310\) | 0.658912 | + | 3.24701i | 0.0374237 | + | 0.184418i | ||||
\(311\) | −2.51789 | − | 1.45371i | −0.142777 | − | 0.0824322i | 0.426910 | − | 0.904294i | \(-0.359602\pi\) |
−0.569687 | + | 0.821862i | \(0.692935\pi\) | |||||||
\(312\) | −5.74998 | − | 18.8169i | −0.325528 | − | 1.06530i | ||||
\(313\) | −18.0136 | + | 10.4002i | −1.01819 | + | 0.587852i | −0.913579 | − | 0.406661i | \(-0.866693\pi\) |
−0.104611 | + | 0.994513i | \(0.533360\pi\) | |||||||
\(314\) | 6.52103 | + | 7.37815i | 0.368003 | + | 0.416373i | ||||
\(315\) | −4.30237 | + | 11.9218i | −0.242411 | + | 0.671719i | ||||
\(316\) | −4.04065 | + | 32.6372i | −0.227304 | + | 1.83599i | ||||
\(317\) | −2.72034 | + | 10.1525i | −0.152790 | + | 0.570219i | 0.846495 | + | 0.532397i | \(0.178709\pi\) |
−0.999284 | + | 0.0378219i | \(0.987958\pi\) | |||||||
\(318\) | 5.92938 | + | 0.618032i | 0.332503 | + | 0.0346575i | ||||
\(319\) | 14.0471 | + | 8.11008i | 0.786485 | + | 0.454077i | ||||
\(320\) | 0.938658 | − | 8.67893i | 0.0524726 | − | 0.485167i | ||||
\(321\) | −7.89383 | + | 12.4282i | −0.440591 | + | 0.693677i | ||||
\(322\) | −10.8952 | − | 21.8799i | −0.607164 | − | 1.21932i | ||||
\(323\) | 6.29678 | − | 6.29678i | 0.350362 | − | 0.350362i | ||||
\(324\) | −4.12722 | − | 17.5204i | −0.229290 | − | 0.973358i | ||||
\(325\) | −10.8183 | − | 10.8183i | −0.600089 | − | 0.600089i | ||||
\(326\) | −14.6756 | − | 4.91860i | −0.812808 | − | 0.272416i | ||||
\(327\) | −1.82157 | − | 1.15697i | −0.100733 | − | 0.0639807i | ||||
\(328\) | −6.86173 | − | 5.87838i | −0.378876 | − | 0.324579i | ||||
\(329\) | −0.191401 | + | 0.331517i | −0.0105523 | + | 0.0182771i | ||||
\(330\) | 6.15696 | + | 7.58981i | 0.338929 | + | 0.417806i | ||||
\(331\) | 7.45721 | + | 1.99815i | 0.409885 | + | 0.109828i | 0.457869 | − | 0.889020i | \(-0.348613\pi\) |
−0.0479837 | + | 0.998848i | \(0.515280\pi\) | |||||||
\(332\) | −24.5212 | + | 19.1184i | −1.34578 | + | 1.04926i | ||||
\(333\) | −24.1167 | − | 8.70327i | −1.32159 | − | 0.476936i | ||||
\(334\) | −26.6542 | − | 1.64369i | −1.45845 | − | 0.0899384i | ||||
\(335\) | −0.530565 | − | 0.918966i | −0.0289879 | − | 0.0502085i | ||||
\(336\) | 22.8623 | + | 14.0303i | 1.24724 | + | 0.765416i | ||||
\(337\) | −15.1525 | + | 26.2448i | −0.825407 | + | 1.42965i | 0.0762015 | + | 0.997092i | \(0.475721\pi\) |
−0.901608 | + | 0.432554i | \(0.857613\pi\) | |||||||
\(338\) | 2.44560 | − | 3.69087i | 0.133023 | − | 0.200757i | ||||
\(339\) | 1.27760 | − | 4.07139i | 0.0693896 | − | 0.221128i | ||||
\(340\) | 1.27055 | − | 3.13564i | 0.0689051 | − | 0.170054i | ||||
\(341\) | −5.55098 | + | 5.55098i | −0.300602 | + | 0.300602i | ||||
\(342\) | 24.2076 | − | 2.81275i | 1.30900 | − | 0.152096i | ||||
\(343\) | 3.83397 | 0.207015 | ||||||||
\(344\) | −6.97621 | + | 14.5694i | −0.376132 | + | 0.785527i | ||||
\(345\) | −8.42945 | − | 0.356510i | −0.453827 | − | 0.0191939i | ||||
\(346\) | 4.76330 | + | 23.4727i | 0.256076 | + | 1.26190i | ||||
\(347\) | −27.6456 | + | 7.40762i | −1.48409 | + | 0.397662i | −0.907738 | − | 0.419537i | \(-0.862192\pi\) |
−0.576356 | + | 0.817199i | \(0.695526\pi\) | |||||||
\(348\) | 9.77038 | − | 11.8611i | 0.523747 | − | 0.635822i | ||||
\(349\) | 4.94221 | + | 1.32426i | 0.264551 | + | 0.0708861i | 0.388656 | − | 0.921383i | \(-0.372939\pi\) |
−0.124105 | + | 0.992269i | \(0.539606\pi\) | |||||||
\(350\) | 20.8181 | + | 1.28379i | 1.11277 | + | 0.0686213i | ||||
\(351\) | 12.6366 | − | 16.6087i | 0.674490 | − | 0.886506i | ||||
\(352\) | 18.3707 | − | 9.50458i | 0.979161 | − | 0.506596i | ||||
\(353\) | 10.6375 | − | 6.14156i | 0.566176 | − | 0.326882i | −0.189444 | − | 0.981891i | \(-0.560669\pi\) |
0.755621 | + | 0.655009i | \(0.227335\pi\) | |||||||
\(354\) | 27.4686 | + | 19.9209i | 1.45994 | + | 1.05878i | ||||
\(355\) | 7.49899 | − | 2.00935i | 0.398005 | − | 0.106645i | ||||
\(356\) | 13.5466 | − | 17.9394i | 0.717970 | − | 0.950789i | ||||
\(357\) | 7.03396 | + | 7.65521i | 0.372277 | + | 0.405157i | ||||
\(358\) | 3.08320 | − | 9.19935i | 0.162952 | − | 0.486201i | ||||
\(359\) | − | 8.35783i | − | 0.441109i | −0.975375 | − | 0.220555i | \(-0.929213\pi\) | ||
0.975375 | − | 0.220555i | \(-0.0707867\pi\) | |||||||
\(360\) | 8.05311 | − | 4.56924i | 0.424436 | − | 0.240820i | ||||
\(361\) | 13.9956i | 0.736609i | ||||||||
\(362\) | 3.77069 | + | 1.26376i | 0.198183 | + | 0.0664219i | ||||
\(363\) | −1.22870 | + | 3.91557i | −0.0644901 | + | 0.205514i | ||||
\(364\) | 4.29734 | + | 30.8018i | 0.225242 | + | 1.61445i | ||||
\(365\) | 10.9739 | − | 2.94046i | 0.574403 | − | 0.153911i | ||||
\(366\) | 8.98665 | + | 20.1376i | 0.469740 | + | 1.05261i | ||||
\(367\) | −5.59831 | + | 3.23218i | −0.292229 | + | 0.168719i | −0.638947 | − | 0.769251i | \(-0.720630\pi\) |
0.346718 | + | 0.937970i | \(0.387296\pi\) | |||||||
\(368\) | −4.35459 | + | 17.3169i | −0.226999 | + | 0.902707i | ||||
\(369\) | 0.809190 | − | 9.54928i | 0.0421248 | − | 0.497116i | ||||
\(370\) | 0.811757 | − | 13.1636i | 0.0422012 | − | 0.684340i | ||||
\(371\) | −9.10182 | − | 2.43882i | −0.472543 | − | 0.126617i | ||||
\(372\) | 4.32109 | + | 6.05333i | 0.224038 | + | 0.313851i | ||||
\(373\) | 11.5078 | − | 3.08351i | 0.595853 | − | 0.159658i | 0.0517262 | − | 0.998661i | \(-0.483528\pi\) |
0.544127 | + | 0.839003i | \(0.316861\pi\) | |||||||
\(374\) | 7.85620 | − | 1.59425i | 0.406234 | − | 0.0824368i | ||||
\(375\) | 8.92664 | − | 14.0543i | 0.460970 | − | 0.725762i | ||||
\(376\) | 0.263751 | − | 0.0929518i | 0.0136019 | − | 0.00479362i | ||||
\(377\) | 17.8167 | 0.917607 | ||||||||
\(378\) | 2.08661 | + | 28.3746i | 0.107324 | + | 1.45943i | ||||
\(379\) | 7.76444 | − | 7.76444i | 0.398833 | − | 0.398833i | −0.478988 | − | 0.877821i | \(-0.658996\pi\) |
0.877821 | + | 0.478988i | \(0.158996\pi\) | |||||||
\(380\) | 4.88661 | + | 11.5444i | 0.250678 | + | 0.592214i | ||||
\(381\) | −6.36799 | + | 1.42087i | −0.326242 | + | 0.0727935i | ||||
\(382\) | −24.0489 | − | 15.9350i | −1.23045 | − | 0.815305i | ||||
\(383\) | −2.86264 | + | 4.95824i | −0.146274 | + | 0.253354i | −0.929848 | − | 0.367945i | \(-0.880061\pi\) |
0.783573 | + | 0.621299i | \(0.213395\pi\) | |||||||
\(384\) | −6.01534 | − | 18.6498i | −0.306969 | − | 0.951719i | ||||
\(385\) | −7.72380 | − | 13.3780i | −0.393641 | − | 0.681807i | ||||
\(386\) | 1.44565 | − | 23.4428i | 0.0735816 | − | 1.19321i | ||||
\(387\) | −16.8648 | + | 3.02122i | −0.857288 | + | 0.153577i | ||||
\(388\) | 0.211507 | + | 0.0261856i | 0.0107376 | + | 0.00132937i | ||||
\(389\) | 6.82104 | + | 1.82769i | 0.345841 | + | 0.0926677i | 0.427558 | − | 0.903988i | \(-0.359374\pi\) |
−0.0817177 | + | 0.996656i | \(0.526041\pi\) | |||||||
\(390\) | 10.0254 | + | 3.83846i | 0.507654 | + | 0.194368i | ||||
\(391\) | −3.46020 | + | 5.99324i | −0.174990 | + | 0.303091i | ||||
\(392\) | −17.1629 | − | 14.7033i | −0.866858 | − | 0.742629i | ||||
\(393\) | 2.04502 | − | 1.06812i | 0.103158 | − | 0.0538795i | ||||
\(394\) | 1.29531 | − | 3.86483i | 0.0652569 | − | 0.194707i | ||||
\(395\) | −12.6874 | − | 12.6874i | −0.638373 | − | 0.638373i | ||||
\(396\) | 19.5645 | + | 9.92612i | 0.983152 | + | 0.498806i | ||||
\(397\) | −1.86429 | + | 1.86429i | −0.0935661 | + | 0.0935661i | −0.752340 | − | 0.658774i | \(-0.771075\pi\) |
0.658774 | + | 0.752340i | \(0.271075\pi\) | |||||||
\(398\) | 11.6429 | − | 5.79762i | 0.583604 | − | 0.290608i | ||||
\(399\) | −38.4862 | − | 1.62771i | −1.92672 | − | 0.0814874i | ||||
\(400\) | −10.9394 | − | 10.6067i | −0.546971 | − | 0.530333i | ||||
\(401\) | −34.3098 | − | 19.8088i | −1.71335 | − | 0.989204i | −0.929949 | − | 0.367688i | \(-0.880149\pi\) |
−0.783402 | − | 0.621516i | \(-0.786517\pi\) | |||||||
\(402\) | −1.92829 | − | 1.39845i | −0.0961744 | − | 0.0697481i | ||||
\(403\) | −2.23179 | + | 8.32915i | −0.111173 | + | 0.414905i | ||||
\(404\) | −6.83149 | + | 5.32630i | −0.339879 | + | 0.264993i | ||||
\(405\) | 8.92314 | + | 4.10176i | 0.443394 | + | 0.203818i | ||||
\(406\) | −18.1999 | + | 16.0856i | −0.903245 | + | 0.798315i | ||||
\(407\) | 27.0624 | − | 15.6245i | 1.34143 | − | 0.774477i | ||||
\(408\) | −0.263970 | − | 7.59012i | −0.0130685 | − | 0.375767i | ||||
\(409\) | −19.5426 | − | 11.2829i | −0.966317 | − | 0.557903i | −0.0682056 | − | 0.997671i | \(-0.521727\pi\) |
−0.898111 | + | 0.439768i | \(0.855061\pi\) | |||||||
\(410\) | 4.83122 | − | 0.980395i | 0.238597 | − | 0.0484182i | ||||
\(411\) | 14.2762 | − | 13.1176i | 0.704192 | − | 0.647044i | ||||
\(412\) | 1.95001 | + | 4.60680i | 0.0960701 | + | 0.226961i | ||||
\(413\) | −37.9245 | − | 37.9245i | −1.86614 | − | 1.86614i | ||||
\(414\) | −17.6059 | + | 6.98048i | −0.865281 | + | 0.343072i | ||||
\(415\) | − | 16.9645i | − | 0.832755i | ||||||
\(416\) | 12.2554 | − | 19.1309i | 0.600870 | − | 0.937968i | ||||
\(417\) | 4.79302 | − | 2.50341i | 0.234715 | − | 0.122593i | ||||
\(418\) | −16.4065 | + | 24.7605i | −0.802470 | + | 1.21108i | ||||
\(419\) | −0.145005 | − | 0.541167i | −0.00708397 | − | 0.0264377i | 0.962293 | − | 0.272014i | \(-0.0876896\pi\) |
−0.969377 | + | 0.245576i | \(0.921023\pi\) | |||||||
\(420\) | −13.7065 | + | 5.13026i | −0.668807 | + | 0.250331i | ||||
\(421\) | −5.65647 | + | 21.1102i | −0.275679 | + | 1.02885i | 0.679706 | + | 0.733485i | \(0.262108\pi\) |
−0.955385 | + | 0.295364i | \(0.904559\pi\) | |||||||
\(422\) | 16.3573 | − | 14.4570i | 0.796259 | − | 0.703757i | ||||
\(423\) | 0.243436 | + | 0.169467i | 0.0118363 | + | 0.00823977i | ||||
\(424\) | 3.89044 | + | 5.67895i | 0.188936 | + | 0.275794i | ||||
\(425\) | −2.95271 | − | 5.11424i | −0.143227 | − | 0.248077i | ||||
\(426\) | 13.5342 | − | 10.9791i | 0.655733 | − | 0.531939i | ||||
\(427\) | −9.02130 | − | 33.6680i | −0.436571 | − | 1.62931i | ||||
\(428\) | −16.8378 | + | 2.34915i | −0.813888 | + | 0.113550i | ||||
\(429\) | 5.53918 | + | 24.8252i | 0.267434 | + | 1.19857i | ||||
\(430\) | −3.92849 | − | 7.88926i | −0.189449 | − | 0.380454i | ||||
\(431\) | 8.09784 | 0.390059 | 0.195030 | − | 0.980797i | \(-0.437520\pi\) | ||||
0.195030 | + | 0.980797i | \(0.437520\pi\) | |||||||
\(432\) | 12.3283 | − | 16.7336i | 0.593145 | − | 0.805095i | ||||
\(433\) | 28.0379 | 1.34742 | 0.673708 | − | 0.738997i | \(-0.264700\pi\) | ||||
0.673708 | + | 0.738997i | \(0.264700\pi\) | |||||||
\(434\) | −5.24009 | − | 10.5232i | −0.251532 | − | 0.505131i | ||||
\(435\) | 1.82585 | + | 8.18298i | 0.0875426 | + | 0.392344i | ||||
\(436\) | −0.344307 | − | 2.46787i | −0.0164893 | − | 0.118189i | ||||
\(437\) | −6.63666 | − | 24.7683i | −0.317474 | − | 1.18483i | ||||
\(438\) | 19.8058 | − | 16.0667i | 0.946357 | − | 0.767697i | ||||
\(439\) | 14.3003 | + | 24.7689i | 0.682518 | + | 1.18216i | 0.974210 | + | 0.225644i | \(0.0724485\pi\) |
−0.291692 | + | 0.956512i | \(0.594218\pi\) | |||||||
\(440\) | −2.07325 | + | 11.0929i | −0.0988385 | + | 0.528834i | ||||
\(441\) | 2.02399 | − | 23.8851i | 0.0963803 | − | 1.13739i | ||||
\(442\) | 6.59777 | − | 5.83130i | 0.313824 | − | 0.277367i | ||||
\(443\) | −1.74109 | + | 6.49785i | −0.0827218 | + | 0.308722i | −0.994873 | − | 0.101132i | \(-0.967754\pi\) |
0.912151 | + | 0.409854i | \(0.134420\pi\) | |||||||
\(444\) | −10.3780 | − | 27.7269i | −0.492519 | − | 1.31586i | ||||
\(445\) | 3.17437 | + | 11.8469i | 0.150479 | + | 0.561597i | ||||
\(446\) | −13.6886 | + | 20.6587i | −0.648176 | + | 0.978219i | ||||
\(447\) | −22.9964 | + | 12.0111i | −1.08769 | + | 0.568106i | ||||
\(448\) | 4.75311 | + | 30.6069i | 0.224563 | + | 1.44604i | ||||
\(449\) | − | 34.1293i | − | 1.61066i | −0.592827 | − | 0.805330i | \(-0.701988\pi\) | ||
0.592827 | − | 0.805330i | \(-0.298012\pi\) | |||||||
\(450\) | 2.35321 | − | 15.9892i | 0.110931 | − | 0.753740i | ||||
\(451\) | 8.25930 | + | 8.25930i | 0.388915 | + | 0.388915i | ||||
\(452\) | 4.53751 | − | 1.92068i | 0.213426 | − | 0.0903411i | ||||
\(453\) | −0.768781 | + | 0.706391i | −0.0361205 | + | 0.0331892i | ||||
\(454\) | −28.1105 | + | 5.70444i | −1.31929 | + | 0.267723i | ||||
\(455\) | −14.6948 | − | 8.48405i | −0.688903 | − | 0.397739i | ||||
\(456\) | 20.5780 | + | 19.1948i | 0.963653 | + | 0.898878i | ||||
\(457\) | −0.228748 | + | 0.132067i | −0.0107004 | + | 0.00617786i | −0.505341 | − | 0.862920i | \(-0.668633\pi\) |
0.494640 | + | 0.869098i | \(0.335300\pi\) | |||||||
\(458\) | −16.4955 | + | 14.5792i | −0.770785 | + | 0.681243i | ||||
\(459\) | 6.37064 | − | 4.92995i | 0.297356 | − | 0.230110i | ||||
\(460\) | −5.99018 | − | 7.68298i | −0.279293 | − | 0.358221i | ||||
\(461\) | 5.93653 | − | 22.1554i | 0.276492 | − | 1.03188i | −0.678343 | − | 0.734745i | \(-0.737302\pi\) |
0.954835 | − | 0.297136i | \(-0.0960316\pi\) | |||||||
\(462\) | −28.0714 | − | 20.3581i | −1.30600 | − | 0.947146i | ||||
\(463\) | 25.1678 | + | 14.5306i | 1.16964 | + | 0.675295i | 0.953596 | − | 0.301088i | \(-0.0973498\pi\) |
0.216048 | + | 0.976383i | \(0.430683\pi\) | |||||||
\(464\) | 17.7422 | − | 0.274019i | 0.823662 | − | 0.0127210i | ||||
\(465\) | −4.05418 | − | 0.171465i | −0.188008 | − | 0.00795150i | ||||
\(466\) | 34.3933 | − | 17.1263i | 1.59324 | − | 0.793360i | ||||
\(467\) | −1.46976 | + | 1.46976i | −0.0680123 | + | 0.0680123i | −0.740295 | − | 0.672282i | \(-0.765314\pi\) |
0.672282 | + | 0.740295i | \(0.265314\pi\) | |||||||
\(468\) | 24.0626 | − | 1.30270i | 1.11230 | − | 0.0602172i | ||||
\(469\) | 2.66230 | + | 2.66230i | 0.122934 | + | 0.122934i | ||||
\(470\) | −0.0484859 | + | 0.144667i | −0.00223649 | + | 0.00667301i | ||||
\(471\) | −10.6897 | + | 5.58324i | −0.492553 | + | 0.257262i | ||||
\(472\) | 3.01522 | + | 39.0648i | 0.138787 | + | 1.79811i | ||||
\(473\) | 10.4411 | − | 18.0845i | 0.480081 | − | 0.831525i | ||||
\(474\) | −37.6147 | − | 14.4017i | −1.72770 | − | 0.661493i | ||||
\(475\) | 21.1357 | + | 5.66329i | 0.969772 | + | 0.259850i | ||||
\(476\) | −1.47494 | + | 11.9134i | −0.0676038 | + | 0.546051i | ||||
\(477\) | −2.47846 | + | 6.86778i | −0.113481 | + | 0.314454i | ||||
\(478\) | −0.431807 | + | 7.00224i | −0.0197504 | + | 0.320275i | ||||
\(479\) | 11.8147 | + | 20.4636i | 0.539826 | + | 0.935006i | 0.998913 | + | 0.0466149i | \(0.0148434\pi\) |
−0.459087 | + | 0.888391i | \(0.651823\pi\) | |||||||
\(480\) | 10.0425 | + | 3.66822i | 0.458375 | + | 0.167431i | ||||
\(481\) | 17.1624 | − | 29.7262i | 0.782539 | − | 1.35540i | ||||
\(482\) | 11.6421 | + | 7.71413i | 0.530281 | + | 0.351369i | ||||
\(483\) | 29.2173 | − | 6.51918i | 1.32943 | − | 0.296633i | ||||
\(484\) | −4.36385 | + | 1.84717i | −0.198357 | + | 0.0839623i | ||||
\(485\) | −0.0822212 | + | 0.0822212i | −0.00373347 | + | 0.00373347i | ||||
\(486\) | 22.0440 | + | 0.245372i | 0.999938 | + | 0.0111303i | ||||
\(487\) | −8.44298 | −0.382588 | −0.191294 | − | 0.981533i | \(-0.561268\pi\) | ||||
−0.191294 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(488\) | −10.9968 | + | 22.9662i | −0.497804 | + | 1.03963i | ||||
\(489\) | 10.1635 | − | 16.0017i | 0.459610 | − | 0.723620i | ||||
\(490\) | 12.0841 | − | 2.45221i | 0.545903 | − | 0.110780i | ||||
\(491\) | 4.92678 | − | 1.32013i | 0.222342 | − | 0.0595765i | −0.145928 | − | 0.989295i | \(-0.546617\pi\) |
0.368270 | + | 0.929719i | \(0.379950\pi\) | |||||||
\(492\) | 9.00675 | − | 6.42935i | 0.406056 | − | 0.289857i | ||||
\(493\) | 6.64277 | + | 1.77992i | 0.299175 | + | 0.0801638i | ||||
\(494\) | −2.00816 | + | 32.5646i | −0.0903516 | + | 1.46515i | ||||
\(495\) | −10.8342 | + | 5.08815i | −0.486963 | + | 0.228695i | ||||
\(496\) | −2.09436 | + | 8.32866i | −0.0940395 | + | 0.373968i | ||||
\(497\) | −23.8557 | + | 13.7731i | −1.07007 | + | 0.617808i | ||||
\(498\) | −15.5192 | − | 34.7759i | −0.695431 | − | 1.55835i | ||||
\(499\) | −19.9387 | + | 5.34256i | −0.892579 | + | 0.239166i | −0.675827 | − | 0.737061i | \(-0.736213\pi\) |
−0.216753 | + | 0.976227i | \(0.569546\pi\) | |||||||
\(500\) | 19.0409 | − | 2.65651i | 0.851533 | − | 0.118803i | ||||
\(501\) | 9.79247 | − | 31.2062i | 0.437495 | − | 1.39419i | ||||
\(502\) | −3.36204 | − | 1.12680i | −0.150055 | − | 0.0502916i | ||||
\(503\) | − | 25.8852i | − | 1.15417i | −0.816686 | − | 0.577083i | \(-0.804191\pi\) | ||
0.816686 | − | 0.577083i | \(-0.195809\pi\) | |||||||
\(504\) | −23.4040 | + | 23.0554i | −1.04250 | + | 1.02697i | ||||
\(505\) | − | 4.72622i | − | 0.210314i | ||||||
\(506\) | 7.33540 | − | 21.8866i | 0.326098 | − | 0.972980i | ||||
\(507\) | 3.66895 | + | 3.99299i | 0.162944 | + | 0.177335i | ||||
\(508\) | −6.01231 | − | 4.54008i | −0.266753 | − | 0.201434i | ||||
\(509\) | 12.6568 | − | 3.39138i | 0.561003 | − | 0.150320i | 0.0328359 | − | 0.999461i | \(-0.489546\pi\) |
0.528167 | + | 0.849140i | \(0.322879\pi\) | |||||||
\(510\) | 3.35438 | + | 2.43268i | 0.148534 | + | 0.107721i | ||||
\(511\) | −34.9102 | + | 20.1554i | −1.54434 | + | 0.891623i | ||||
\(512\) | 11.9099 | − | 19.2394i | 0.526349 | − | 0.850268i | ||||
\(513\) | −3.77468 | + | 29.6080i | −0.166656 | + | 1.30722i | ||||
\(514\) | −23.8736 | − | 1.47221i | −1.05302 | − | 0.0649366i | ||||
\(515\) | −2.63635 | − | 0.706409i | −0.116172 | − | 0.0311281i | ||||
\(516\) | −15.2702 | − | 12.5786i | −0.672234 | − | 0.553741i | ||||
\(517\) | −0.349196 | + | 0.0935669i | −0.0153576 | + | 0.00411507i | ||||
\(518\) | 9.30640 | + | 45.8603i | 0.408900 | + | 2.01499i | ||||
\(519\) | −29.3078 | − | 1.23953i | −1.28647 | − | 0.0544092i | ||||
\(520\) | 4.12018 | + | 11.6910i | 0.180682 | + | 0.512685i | ||||
\(521\) | 15.9529 | 0.698909 | 0.349454 | − | 0.936953i | \(-0.386367\pi\) | ||||
0.349454 | + | 0.936953i | \(0.386367\pi\) | |||||||
\(522\) | 11.2287 | + | 15.1042i | 0.491465 | + | 0.661092i | ||||
\(523\) | 8.00417 | − | 8.00417i | 0.349998 | − | 0.349998i | −0.510111 | − | 0.860109i | \(-0.670396\pi\) |
0.860109 | + | 0.510111i | \(0.170396\pi\) | |||||||
\(524\) | 2.46908 | + | 1.00046i | 0.107862 | + | 0.0437054i | ||||
\(525\) | −7.64834 | + | 24.3734i | −0.333801 | + | 1.06374i | ||||
\(526\) | 16.1824 | − | 24.4223i | 0.705588 | − | 1.06486i | ||||
\(527\) | −1.66420 | + | 2.88247i | −0.0724936 | + | 0.125563i | ||||
\(528\) | 5.89783 | + | 24.6362i | 0.256670 | + | 1.07215i | ||||
\(529\) | −1.53630 | − | 2.66094i | −0.0667955 | − | 0.115693i | ||||
\(530\) | −3.74863 | − | 0.231167i | −0.162830 | − | 0.0100412i | ||||
\(531\) | −31.7620 | + | 26.7996i | −1.37836 | + | 1.16300i | ||||
\(532\) | −27.3492 | − | 35.0780i | −1.18574 | − | 1.52082i | ||||
\(533\) | 12.3929 | + | 3.32068i | 0.536798 | + | 0.143835i | ||||
\(534\) | 17.3448 | + | 21.3813i | 0.750583 | + | 0.925260i | ||||
\(535\) | 4.63782 | − | 8.03294i | 0.200511 | − | 0.347294i | ||||
\(536\) | −0.211668 | − | 2.74235i | −0.00914267 | − | 0.118451i | ||||
\(537\) | 10.0306 | + | 6.37095i | 0.432851 | + | 0.274927i | ||||
\(538\) | −28.7338 | − | 9.63024i | −1.23880 | − | 0.415189i | ||||
\(539\) | 20.6586 | + | 20.6586i | 0.889828 | + | 0.889828i | ||||
\(540\) | 3.06424 | + | 10.9182i | 0.131864 | + | 0.469843i | ||||
\(541\) | −16.5746 | + | 16.5746i | −0.712599 | + | 0.712599i | −0.967078 | − | 0.254479i | \(-0.918096\pi\) |
0.254479 | + | 0.967078i | \(0.418096\pi\) | |||||||
\(542\) | 12.6280 | + | 25.3597i | 0.542418 | + | 1.08929i | ||||
\(543\) | −2.61136 | + | 4.11139i | −0.112064 | + | 0.176437i | ||||
\(544\) | 6.48050 | − | 5.90840i | 0.277849 | − | 0.253321i | ||||
\(545\) | 1.17736 | + | 0.679750i | 0.0504326 | + | 0.0291173i | ||||
\(546\) | −37.8845 | − | 3.94878i | −1.62131 | − | 0.168992i | ||||
\(547\) | −0.996886 | + | 3.72043i | −0.0426238 | + | 0.159074i | −0.983957 | − | 0.178403i | \(-0.942907\pi\) |
0.941334 | + | 0.337477i | \(0.109574\pi\) | |||||||
\(548\) | 22.2173 | + | 2.75061i | 0.949076 | + | 0.117500i | ||||
\(549\) | −26.5846 | + | 4.76246i | −1.13460 | + | 0.203257i | ||||
\(550\) | 13.0447 | + | 14.7592i | 0.556226 | + | 0.629336i | ||||
\(551\) | −22.0678 | + | 12.7408i | −0.940118 | + | 0.542778i | ||||
\(552\) | −19.3078 | − | 10.2697i | −0.821795 | − | 0.437106i | ||||
\(553\) | 55.1343 | + | 31.8318i | 2.34455 | + | 1.35362i | ||||
\(554\) | −7.82475 | − | 38.5591i | −0.332442 | − | 1.63822i | ||||
\(555\) | 15.4116 | + | 4.83615i | 0.654188 | + | 0.205283i | ||||
\(556\) | 5.78693 | + | 2.34484i | 0.245421 | + | 0.0994434i | ||||
\(557\) | 14.2615 | + | 14.2615i | 0.604278 | + | 0.604278i | 0.941445 | − | 0.337167i | \(-0.109469\pi\) |
−0.337167 | + | 0.941445i | \(0.609469\pi\) | |||||||
\(558\) | −8.46762 | + | 3.35729i | −0.358463 | + | 0.142126i | ||||
\(559\) | − | 22.9376i | − | 0.970156i | ||||||
\(560\) | −14.7639 | − | 8.22258i | −0.623887 | − | 0.347468i | ||||
\(561\) | −0.414864 | + | 9.80919i | −0.0175156 | + | 0.414144i | ||||
\(562\) | 20.8310 | + | 13.8028i | 0.878704 | + | 0.582236i | ||||
\(563\) | 9.41300 | + | 35.1298i | 0.396711 | + | 1.48054i | 0.818847 | + | 0.574012i | \(0.194614\pi\) |
−0.422136 | + | 0.906532i | \(0.638720\pi\) | |||||||
\(564\) | 0.0329500 | + | 0.340912i | 0.00138744 | + | 0.0143550i | ||||
\(565\) | −0.695783 | + | 2.59670i | −0.0292718 | + | 0.109244i | ||||
\(566\) | −22.7991 | − | 25.7958i | −0.958319 | − | 1.08428i | ||||
\(567\) | −34.3487 | − | 5.86340i | −1.44251 | − | 0.246240i | ||||
\(568\) | 19.7809 | + | 3.69703i | 0.829989 | + | 0.155124i | ||||
\(569\) | −12.2488 | − | 21.2155i | −0.513496 | − | 0.889402i | −0.999877 | − | 0.0156550i | \(-0.995017\pi\) |
0.486381 | − | 0.873747i | \(-0.338317\pi\) | |||||||
\(570\) | −15.1623 | + | 2.41488i | −0.635079 | + | 0.101148i | ||||
\(571\) | −2.12023 | − | 7.91280i | −0.0887288 | − | 0.331140i | 0.907265 | − | 0.420559i | \(-0.138166\pi\) |
−0.995994 | + | 0.0894183i | \(0.971499\pi\) | |||||||
\(572\) | −17.6992 | + | 23.4386i | −0.740042 | + | 0.980018i | ||||
\(573\) | 26.0175 | − | 23.9061i | 1.08690 | − | 0.998690i | ||||
\(574\) | −15.6575 | + | 7.79672i | −0.653532 | + | 0.325429i | ||||
\(575\) | −17.0048 | −0.709147 | ||||||||
\(576\) | 23.9420 | − | 1.66733i | 0.997584 | − | 0.0694721i | ||||
\(577\) | −19.0192 | −0.791779 | −0.395889 | − | 0.918298i | \(-0.629564\pi\) | ||||
−0.395889 | + | 0.918298i | \(0.629564\pi\) | |||||||
\(578\) | −18.4786 | + | 9.20150i | −0.768609 | + | 0.382732i | ||||
\(579\) | 27.4464 | + | 8.61265i | 1.14063 | + | 0.357929i | ||||
\(580\) | −5.83409 | + | 7.72593i | −0.242247 | + | 0.320802i | ||||
\(581\) | 15.5790 | + | 58.1417i | 0.646327 | + | 2.41213i | ||||
\(582\) | −0.0933308 | + | 0.243763i | −0.00386868 | + | 0.0101043i | ||||
\(583\) | −4.44944 | − | 7.70665i | −0.184277 | − | 0.319177i | ||||
\(584\) | 28.9472 | + | 5.41020i | 1.19784 | + | 0.223876i | ||||
\(585\) | −7.51179 | + | 10.7905i | −0.310574 | + | 0.446133i | ||||
\(586\) | 4.88216 | + | 5.52386i | 0.201680 | + | 0.228189i | ||||
\(587\) | −2.62450 | + | 9.79477i | −0.108325 | + | 0.404274i | −0.998701 | − | 0.0509516i | \(-0.983775\pi\) |
0.890376 | + | 0.455225i | \(0.150441\pi\) | |||||||
\(588\) | 22.5281 | − | 16.0814i | 0.929045 | − | 0.663186i | ||||
\(589\) | −3.19193 | − | 11.9124i | −0.131521 | − | 0.490844i | ||||
\(590\) | −17.8201 | − | 11.8077i | −0.733641 | − | 0.486117i | ||||
\(591\) | 4.21404 | + | 2.67656i | 0.173342 | + | 0.110099i | ||||
\(592\) | 16.6335 | − | 29.8659i | 0.683632 | − | 1.22748i | ||||
\(593\) | 16.0166i | 0.657724i | 0.944378 | + | 0.328862i | \(0.106665\pi\) | ||||
−0.944378 | + | 0.328862i | \(0.893335\pi\) | |||||||
\(594\) | −17.5547 | + | 20.3415i | −0.720278 | + | 0.834622i | ||||
\(595\) | −4.63123 | − | 4.63123i | −0.189862 | − | 0.189862i | ||||
\(596\) | −27.7651 | − | 11.2503i | −1.13730 | − | 0.460830i | ||||
\(597\) | 3.46903 | + | 15.5473i | 0.141978 | + | 0.636309i | ||||
\(598\) | −5.04254 | − | 24.8488i | −0.206205 | − | 1.01614i | ||||
\(599\) | 2.72485 | + | 1.57319i | 0.111334 | + | 0.0642790i | 0.554633 | − | 0.832095i | \(-0.312859\pi\) |
−0.443299 | + | 0.896374i | \(0.646192\pi\) | |||||||
\(600\) | 15.8274 | − | 9.88693i | 0.646151 | − | 0.403632i | ||||
\(601\) | −6.88132 | + | 3.97293i | −0.280695 | + | 0.162059i | −0.633738 | − | 0.773548i | \(-0.718480\pi\) |
0.353043 | + | 0.935607i | \(0.385147\pi\) | |||||||
\(602\) | 20.7089 | + | 23.4309i | 0.844032 | + | 0.954971i | ||||
\(603\) | 2.22969 | − | 1.88133i | 0.0908001 | − | 0.0766137i | ||||
\(604\) | −1.19642 | − | 0.148122i | −0.0486815 | − | 0.00602700i | ||||
\(605\) | 0.669154 | − | 2.49732i | 0.0272050 | − | 0.101530i | ||||
\(606\) | −4.32357 | − | 9.68839i | −0.175633 | − | 0.393564i | ||||
\(607\) | 28.2159 | + | 16.2905i | 1.14525 | + | 0.661209i | 0.947725 | − | 0.319089i | \(-0.103377\pi\) |
0.197523 | + | 0.980298i | \(0.436710\pi\) | |||||||
\(608\) | −1.49893 | + | 32.4594i | −0.0607896 | + | 1.31640i | ||||
\(609\) | −13.7723 | − | 26.3685i | −0.558083 | − | 1.06850i | ||||
\(610\) | −6.19262 | − | 12.4361i | −0.250732 | − | 0.503524i | ||||
\(611\) | −0.280791 | + | 0.280791i | −0.0113596 | + | 0.0113596i | ||||
\(612\) | 9.10164 | + | 1.91821i | 0.367912 | + | 0.0775390i | ||||
\(613\) | 1.74081 | + | 1.74081i | 0.0703105 | + | 0.0703105i | 0.741388 | − | 0.671077i | \(-0.234168\pi\) |
−0.671077 | + | 0.741388i | \(0.734168\pi\) | |||||||
\(614\) | −5.36021 | − | 1.79650i | −0.216320 | − | 0.0725007i | ||||
\(615\) | −0.255123 | + | 6.03222i | −0.0102875 | + | 0.243243i | ||||
\(616\) | −3.08140 | − | 39.9222i | −0.124153 | − | 1.60851i | ||||
\(617\) | −8.76552 | + | 15.1823i | −0.352887 | + | 0.611218i | −0.986754 | − | 0.162224i | \(-0.948133\pi\) |
0.633867 | + | 0.773442i | \(0.281467\pi\) | |||||||
\(618\) | −6.05055 | + | 0.963663i | −0.243389 | + | 0.0387642i | ||||
\(619\) | −12.3314 | − | 3.30420i | −0.495643 | − | 0.132807i | 0.00233438 | − | 0.999997i | \(-0.499257\pi\) |
−0.497977 | + | 0.867190i | \(0.665924\pi\) | |||||||
\(620\) | −2.88100 | − | 3.69516i | −0.115704 | − | 0.148401i | ||||
\(621\) | −3.12180 | − | 22.9847i | −0.125273 | − | 0.922342i | ||||
\(622\) | 4.10391 | + | 0.253076i | 0.164552 | + | 0.0101474i | ||||
\(623\) | −21.7588 | − | 37.6873i | −0.871746 | − | 1.50991i | ||||
\(624\) | 19.1410 | + | 20.1965i | 0.766254 | + | 0.808507i | ||||
\(625\) | 4.27862 | − | 7.41079i | 0.171145 | − | 0.296432i | ||||
\(626\) | 16.2482 | − | 24.5215i | 0.649407 | − | 0.980077i | ||||
\(627\) | −24.6135 | − | 26.7874i | −0.982968 | − | 1.06979i | ||||
\(628\) | −12.9063 | − | 5.22959i | −0.515018 | − | 0.208683i | ||||
\(629\) | 9.36852 | − | 9.36852i | 0.373548 | − | 0.373548i | ||||
\(630\) | −2.06875 | − | 17.8045i | −0.0824211 | − | 0.709349i | ||||
\(631\) | −24.1690 | −0.962153 | −0.481076 | − | 0.876679i | \(-0.659754\pi\) | ||||
−0.481076 | + | 0.876679i | \(0.659754\pi\) | |||||||
\(632\) | −15.4587 | − | 43.8641i | −0.614915 | − | 1.74482i | ||||
\(633\) | 12.3780 | + | 23.6988i | 0.491980 | + | 0.941944i | ||||
\(634\) | −2.95613 | − | 14.5673i | −0.117403 | − | 0.578542i | ||||
\(635\) | 3.97043 | − | 1.06387i | 0.157562 | − | 0.0422185i | ||||
\(636\) | −7.89586 | + | 2.95538i | −0.313091 | + | 0.117189i | ||||
\(637\) | 30.9979 | + | 8.30585i | 1.22818 | + | 0.329090i | ||||
\(638\) | −22.8953 | − | 1.41188i | −0.906433 | − | 0.0558970i | ||||
\(639\) | 9.07320 | + | 19.3197i | 0.358930 | + | 0.764274i | ||||
\(640\) | 4.28276 | + | 11.5788i | 0.169291 | + | 0.457691i | ||||
\(641\) | −19.3938 | + | 11.1970i | −0.766010 | + | 0.442256i | −0.831450 | − | 0.555600i | \(-0.812489\pi\) |
0.0654392 | + | 0.997857i | \(0.479155\pi\) | |||||||
\(642\) | 2.15861 | − | 20.7096i | 0.0851935 | − | 0.817343i | ||||
\(643\) | −3.74778 | + | 1.00422i | −0.147798 | + | 0.0396024i | −0.331960 | − | 0.943294i | \(-0.607710\pi\) |
0.184161 | + | 0.982896i | \(0.441043\pi\) | |||||||
\(644\) | 27.5854 | + | 20.8306i | 1.08702 | + | 0.820840i | ||||
\(645\) | 10.5349 | − | 2.35063i | 0.414813 | − | 0.0925560i | ||||
\(646\) | −4.00199 | + | 11.9408i | −0.157456 | + | 0.469803i | ||||
\(647\) | 36.0008i | 1.41534i | 0.706544 | + | 0.707669i | \(0.250253\pi\) | ||||
−0.706544 | + | 0.707669i | \(0.749747\pi\) | |||||||
\(648\) | 16.2694 | + | 19.5782i | 0.639123 | + | 0.769104i | ||||
\(649\) | − | 50.6508i | − | 1.98822i | ||||||
\(650\) | 20.5150 | + | 6.87568i | 0.804664 | + | 0.269686i | ||||
\(651\) | 14.0522 | − | 3.13543i | 0.550749 | − | 0.122887i | ||||
\(652\) | 21.6791 | − | 3.02459i | 0.849021 | − | 0.118452i | ||||
\(653\) | 4.46647 | − | 1.19679i | 0.174786 | − | 0.0468339i | −0.170364 | − | 0.985381i | \(-0.554494\pi\) |
0.345151 | + | 0.938547i | \(0.387828\pi\) | |||||||
\(654\) | 3.03534 | + | 0.316380i | 0.118691 | + | 0.0123714i | ||||
\(655\) | −1.25878 | + | 0.726755i | −0.0491845 | + | 0.0283967i | ||||
\(656\) | 12.3922 | + | 3.11620i | 0.483834 | + | 0.121667i | ||||
\(657\) | 13.2776 | + | 28.2722i | 0.518010 | + | 1.10300i | ||||
\(658\) | 0.0333211 | − | 0.540339i | 0.00129899 | − | 0.0210646i | ||||
\(659\) | 35.4331 | + | 9.49427i | 1.38028 | + | 0.369844i | 0.871222 | − | 0.490889i | \(-0.163328\pi\) |
0.509056 | + | 0.860734i | \(0.329995\pi\) | |||||||
\(660\) | −12.5789 | − | 5.72705i | −0.489632 | − | 0.222925i | ||||
\(661\) | −25.4912 | + | 6.83035i | −0.991493 | + | 0.265670i | −0.717878 | − | 0.696169i | \(-0.754886\pi\) |
−0.273616 | + | 0.961839i | \(0.588220\pi\) | |||||||
\(662\) | −10.7000 | + | 2.17135i | −0.415868 | + | 0.0843917i | ||||
\(663\) | 4.99271 | + | 9.55902i | 0.193901 | + | 0.371242i | ||||
\(664\) | 18.9906 | − | 39.6607i | 0.736979 | − | 1.53913i | ||||
\(665\) | 24.2680 | 0.941072 | ||||||||
\(666\) | 36.0168 | − | 4.18489i | 1.39562 | − | 0.162161i | ||||
\(667\) | 14.0027 | − | 14.0027i | 0.542185 | − | 0.542185i | ||||
\(668\) | 34.7789 | − | 14.7215i | 1.34564 | − | 0.569593i | ||||
\(669\) | −20.5360 | − | 22.3498i | −0.793969 | − | 0.864094i | ||||
\(670\) | 1.25097 | + | 0.828902i | 0.0483291 | + | 0.0320233i | ||||
\(671\) | 16.4586 | − | 28.5072i | 0.635378 | − | 1.10051i | ||||
\(672\) | −37.7868 | − | 3.34962i | −1.45766 | − | 0.129214i | ||||
\(673\) | −11.8530 | − | 20.5299i | −0.456898 | − | 0.791371i | 0.541897 | − | 0.840445i | \(-0.317706\pi\) |
−0.998795 | + | 0.0490741i | \(0.984373\pi\) | |||||||
\(674\) | 2.63789 | − | 42.7763i | 0.101608 | − | 1.64768i | ||||
\(675\) | 18.3179 | + | 7.49977i | 0.705055 | + | 0.288666i | ||||
\(676\) | −0.769336 | + | 6.21410i | −0.0295898 | + | 0.239004i | ||||
\(677\) | −0.592200 | − | 0.158680i | −0.0227601 | − | 0.00609855i | 0.247421 | − | 0.968908i | \(-0.420417\pi\) |
−0.270181 | + | 0.962810i | \(0.587084\pi\) | |||||||
\(678\) | 0.949167 | + | 5.95953i | 0.0364526 | + | 0.228875i | ||||
\(679\) | 0.206287 | − | 0.357299i | 0.00791656 | − | 0.0137119i | ||||
\(680\) | 0.368209 | + | 4.77048i | 0.0141202 | + | 0.182940i | ||||
\(681\) | 1.48444 | − | 35.0986i | 0.0568838 | − | 1.34498i | ||||
\(682\) | 3.52799 | − | 10.5265i | 0.135094 | − | 0.403080i | ||||
\(683\) | −7.92296 | − | 7.92296i | −0.303164 | − | 0.303164i | 0.539087 | − | 0.842250i | \(-0.318770\pi\) |
−0.842250 | + | 0.539087i | \(0.818770\pi\) | |||||||
\(684\) | −28.8724 | + | 18.8209i | −1.10396 | + | 0.719633i | ||||
\(685\) | −8.63676 | + | 8.63676i | −0.329994 | + | 0.329994i | ||||
\(686\) | −4.85360 | + | 2.41687i | −0.185311 | + | 0.0922765i | ||||
\(687\) | −12.4826 | − | 23.8992i | −0.476241 | − | 0.911810i | ||||
\(688\) | −0.352777 | − | 22.8417i | −0.0134495 | − | 0.870831i | ||||
\(689\) | −8.46522 | − | 4.88739i | −0.322499 | − | 0.186195i | ||||
\(690\) | 10.8960 | − | 4.86246i | 0.414802 | − | 0.185111i | ||||
\(691\) | −2.72654 | + | 10.1756i | −0.103722 | + | 0.387097i | −0.998197 | − | 0.0600214i | \(-0.980883\pi\) |
0.894475 | + | 0.447118i | \(0.147550\pi\) | |||||||
\(692\) | −20.8269 | − | 26.7125i | −0.791719 | − | 1.01546i | ||||
\(693\) | 32.4591 | − | 27.3878i | 1.23302 | − | 1.04038i | ||||
\(694\) | 30.3282 | − | 26.8050i | 1.15124 | − | 1.01750i | ||||
\(695\) | −2.95027 | + | 1.70334i | −0.111910 | + | 0.0646112i | ||||
\(696\) | −4.89172 | + | 21.1746i | −0.185420 | + | 0.802621i | ||||
\(697\) | 4.28883 | + | 2.47616i | 0.162451 | + | 0.0937912i | ||||
\(698\) | −7.09136 | + | 1.43904i | −0.268412 | + | 0.0544686i | ||||
\(699\) | 10.2476 | + | 45.9271i | 0.387600 | + | 1.73712i | ||||
\(700\) | −27.1638 | + | 11.4981i | −1.02670 | + | 0.434589i | ||||
\(701\) | 17.1029 | + | 17.1029i | 0.645968 | + | 0.645968i | 0.952016 | − | 0.306048i | \(-0.0990068\pi\) |
−0.306048 | + | 0.952016i | \(0.599007\pi\) | |||||||
\(702\) | −5.52737 | + | 28.9915i | −0.208617 | + | 1.09422i | ||||
\(703\) | 49.0918i | 1.85153i | ||||||||
\(704\) | −17.2648 | + | 23.6128i | −0.650690 | + | 0.889943i | ||||
\(705\) | −0.157739 | − | 0.100188i | −0.00594080 | − | 0.00377331i | ||||
\(706\) | −9.59494 | + | 14.4806i | −0.361110 | + | 0.544983i | ||||
\(707\) | 4.34024 | + | 16.1980i | 0.163231 | + | 0.609188i | ||||
\(708\) | −47.3315 | − | 7.90306i | −1.77883 | − | 0.297015i | ||||
\(709\) | −0.358349 | + | 1.33738i | −0.0134581 | + | 0.0502263i | −0.972328 | − | 0.233618i | \(-0.924943\pi\) |
0.958870 | + | 0.283845i | \(0.0916100\pi\) | |||||||
\(710\) | −8.22665 | + | 7.27096i | −0.308741 | + | 0.272874i | ||||
\(711\) | 28.1839 | − | 40.4856i | 1.05698 | − | 1.51833i | ||||
\(712\) | −5.84057 | + | 31.2499i | −0.218885 | + | 1.17114i | ||||
\(713\) | 4.79209 | + | 8.30014i | 0.179465 | + | 0.310843i | ||||
\(714\) | −13.7303 | − | 5.25699i | −0.513844 | − | 0.196738i | ||||
\(715\) | −4.14744 | − | 15.4785i | −0.155106 | − | 0.578862i | ||||
\(716\) | 1.89595 | + | 13.5895i | 0.0708550 | + | 0.507862i | ||||
\(717\) | −8.19809 | − | 2.57255i | −0.306163 | − | 0.0960736i | ||||
\(718\) | 5.26863 | + | 10.5806i | 0.196624 | + | 0.394863i | ||||
\(719\) | −3.58660 | −0.133758 | −0.0668789 | − | 0.997761i | \(-0.521304\pi\) | ||||
−0.0668789 | + | 0.997761i | \(0.521304\pi\) | |||||||
\(720\) | −7.31443 | + | 10.8609i | −0.272593 | + | 0.404764i | ||||
\(721\) | 9.68418 | 0.360658 | ||||||||
\(722\) | −8.82257 | − | 17.7176i | −0.328342 | − | 0.659382i | ||||
\(723\) | −12.5951 | + | 11.5729i | −0.468415 | + | 0.430401i | ||||
\(724\) | −5.57014 | + | 0.777124i | −0.207013 | + | 0.0288816i | ||||
\(725\) | 4.37362 | + | 16.3226i | 0.162432 | + | 0.606205i | ||||
\(726\) | −0.912841 | − | 5.73145i | −0.0338787 | − | 0.212714i | ||||
\(727\) | −19.8338 | − | 34.3531i | −0.735594 | − | 1.27409i | −0.954462 | − | 0.298331i | \(-0.903570\pi\) |
0.218869 | − | 0.975754i | \(-0.429763\pi\) | |||||||
\(728\) | −24.8571 | − | 36.2844i | −0.921266 | − | 1.34479i | ||||
\(729\) | −6.77428 | + | 26.1364i | −0.250899 | + | 0.968013i | ||||
\(730\) | −12.0388 | + | 10.6402i | −0.445576 | + | 0.393813i | ||||
\(731\) | 2.29151 | − | 8.55203i | 0.0847545 | − | 0.316308i | ||||
\(732\) | −24.0710 | − | 19.8280i | −0.889690 | − | 0.732866i | ||||
\(733\) | −1.99707 | − | 7.45317i | −0.0737635 | − | 0.275289i | 0.919187 | − | 0.393822i | \(-0.128847\pi\) |
−0.992950 | + | 0.118533i | \(0.962181\pi\) | |||||||
\(734\) | 5.04963 | − | 7.62084i | 0.186385 | − | 0.281290i | ||||
\(735\) | −0.638126 | + | 15.0881i | −0.0235376 | + | 0.556533i | ||||
\(736\) | −5.40363 | − | 24.6673i | −0.199180 | − | 0.909250i | ||||
\(737\) | 3.55568i | 0.130975i | ||||||||
\(738\) | 4.99531 | + | 12.5990i | 0.183880 | + | 0.463774i | ||||
\(739\) | −3.67791 | − | 3.67791i | −0.135294 | − | 0.135294i | 0.636216 | − | 0.771511i | \(-0.280499\pi\) |
−0.771511 | + | 0.636216i | \(0.780499\pi\) | |||||||
\(740\) | 7.27044 | + | 17.1761i | 0.267267 | + | 0.631404i | ||||
\(741\) | −38.1261 | − | 11.9639i | −1.40060 | − | 0.439505i | ||||
\(742\) | 13.0598 | − | 2.65021i | 0.479440 | − | 0.0972923i | ||||
\(743\) | 29.0142 | + | 16.7513i | 1.06443 | + | 0.614547i | 0.926654 | − | 0.375917i | \(-0.122672\pi\) |
0.137773 | + | 0.990464i | \(0.456005\pi\) | |||||||
\(744\) | −9.28618 | − | 4.93925i | −0.340448 | − | 0.181082i | ||||
\(745\) | 14.1551 | − | 8.17244i | 0.518602 | − | 0.299415i | ||||
\(746\) | −12.6245 | + | 11.1579i | −0.462216 | + | 0.408520i | ||||
\(747\) | 45.9094 | − | 8.22436i | 1.67974 | − | 0.300914i | ||||
\(748\) | −8.94053 | + | 6.97065i | −0.326898 | + | 0.254872i | ||||
\(749\) | −8.51811 | + | 31.7900i | −0.311245 | + | 1.16158i | ||||
\(750\) | −2.44104 | + | 23.4192i | −0.0891340 | + | 0.855148i | ||||
\(751\) | 28.3480 | + | 16.3667i | 1.03443 | + | 0.597231i | 0.918252 | − | 0.395997i | \(-0.129601\pi\) |
0.116182 | + | 0.993228i | \(0.462934\pi\) | |||||||
\(752\) | −0.275299 | + | 0.283936i | −0.0100391 | + | 0.0103541i | ||||
\(753\) | 2.32836 | − | 3.66582i | 0.0848501 | − | 0.133590i | ||||
\(754\) | −22.5550 | + | 11.2313i | −0.821404 | + | 0.409022i | ||||
\(755\) | 0.465095 | − | 0.465095i | 0.0169265 | − | 0.0169265i | ||||
\(756\) | −20.5284 | − | 34.6054i | −0.746611 | − | 1.25858i | ||||
\(757\) | −32.1096 | − | 32.1096i | −1.16704 | − | 1.16704i | −0.982900 | − | 0.184143i | \(-0.941049\pi\) |
−0.184143 | − | 0.982900i | \(-0.558951\pi\) | |||||||
\(758\) | −4.93479 | + | 14.7239i | −0.179240 | + | 0.534797i | ||||
\(759\) | 23.8642 | + | 15.1574i | 0.866217 | + | 0.550180i | ||||
\(760\) | −13.4636 | − | 11.5341i | −0.488374 | − | 0.418386i | ||||
\(761\) | 11.3534 | − | 19.6647i | 0.411562 | − | 0.712847i | −0.583499 | − | 0.812114i | \(-0.698317\pi\) |
0.995061 | + | 0.0992676i | \(0.0316500\pi\) | |||||||
\(762\) | 7.16583 | − | 5.81302i | 0.259591 | − | 0.210583i | ||||
\(763\) | −4.65936 | − | 1.24847i | −0.168680 | − | 0.0451977i | ||||
\(764\) | 40.4897 | + | 5.01282i | 1.46487 | + | 0.181358i | ||||
\(765\) | −3.87868 | + | 3.27269i | −0.140234 | + | 0.118324i | ||||
\(766\) | 0.498357 | − | 8.08142i | 0.0180064 | − | 0.291994i | ||||
\(767\) | −27.8182 | − | 48.1825i | −1.00446 | − | 1.73977i | ||||
\(768\) | 19.3716 | + | 19.8177i | 0.699013 | + | 0.715109i | ||||
\(769\) | 23.6477 | − | 40.9590i | 0.852757 | − | 1.47702i | −0.0259531 | − | 0.999663i | \(-0.508262\pi\) |
0.878710 | − | 0.477356i | \(-0.158405\pi\) | |||||||
\(770\) | 18.2112 | + | 12.0669i | 0.656285 | + | 0.434860i | ||||
\(771\) | 8.77092 | − | 27.9508i | 0.315877 | − | 1.00662i | ||||
\(772\) | 12.9478 | + | 30.5886i | 0.466003 | + | 1.10091i | ||||
\(773\) | −13.5761 | + | 13.5761i | −0.488297 | + | 0.488297i | −0.907768 | − | 0.419472i | \(-0.862215\pi\) |
0.419472 | + | 0.907768i | \(0.362215\pi\) | |||||||
\(774\) | 19.4454 | − | 14.4560i | 0.698951 | − | 0.519610i | ||||
\(775\) | −8.17852 | −0.293781 | ||||||||
\(776\) | −0.284263 | + | 0.100181i | −0.0102044 | + | 0.00359628i | ||||
\(777\) | −57.2609 | − | 2.42175i | −2.05422 | − | 0.0868800i | ||||
\(778\) | −9.78721 | + | 1.98611i | −0.350889 | + | 0.0712055i | ||||
\(779\) | −17.7245 | + | 4.74927i | −0.635047 | + | 0.170160i | ||||
\(780\) | −15.1113 | + | 1.46054i | −0.541070 | + | 0.0522957i | ||||
\(781\) | −25.1279 | − | 6.73300i | −0.899147 | − | 0.240926i | ||||
\(782\) | 0.602386 | − | 9.76836i | 0.0215413 | − | 0.349316i | ||||
\(783\) | −21.2597 | + | 8.90821i | −0.759758 | + | 0.318353i | ||||
\(784\) | 30.9960 | + | 7.79438i | 1.10700 | + | 0.278371i | ||||
\(785\) | 6.57984 | − | 3.79887i | 0.234845 | − | 0.135588i | ||||
\(786\) | −1.91556 | + | 2.64133i | −0.0683256 | + | 0.0942130i | ||||
\(787\) | 7.95128 | − | 2.13054i | 0.283432 | − | 0.0759455i | −0.114302 | − | 0.993446i | \(-0.536463\pi\) |
0.397735 | + | 0.917501i | \(0.369797\pi\) | |||||||
\(788\) | 0.796526 | + | 5.70920i | 0.0283750 | + | 0.203382i | ||||
\(789\) | 24.2773 | + | 26.4215i | 0.864294 | + | 0.940631i | ||||
\(790\) | 24.0595 | + | 8.06364i | 0.855998 | + | 0.286891i | ||||
\(791\) | − | 9.53851i | − | 0.339150i | ||||||
\(792\) | −31.0248 | − | 0.232818i | −1.10242 | − | 0.00827282i | ||||
\(793\) | − | 36.1573i | − | 1.28398i | ||||||
\(794\) | 1.18487 | − | 3.53531i | 0.0420496 | − | 0.125463i | ||||
\(795\) | 1.37721 | − | 4.38882i | 0.0488445 | − | 0.155655i | ||||
\(796\) | −11.0845 | + | 14.6789i | −0.392880 | + | 0.520281i | ||||
\(797\) | −35.7427 | + | 9.57723i | −1.26607 | + | 0.339243i | −0.828525 | − | 0.559953i | \(-0.810819\pi\) |
−0.437547 | + | 0.899195i | \(0.644153\pi\) | |||||||
\(798\) | 49.7475 | − | 22.2004i | 1.76104 | − | 0.785887i | ||||
\(799\) | −0.132742 | + | 0.0766384i | −0.00469606 | + | 0.00271127i | ||||
\(800\) | 20.5350 | + | 6.53142i | 0.726021 | + | 0.230921i | ||||
\(801\) | −30.5212 | + | 14.3338i | −1.07841 | + | 0.506462i | ||||
\(802\) | 55.9215 | + | 3.44851i | 1.97466 | + | 0.121771i | ||||
\(803\) | −36.7719 | − | 9.85301i | −1.29765 | − | 0.347705i | ||||
\(804\) | 3.32267 | + | 0.554794i | 0.117181 | + | 0.0195661i | ||||
\(805\) | −18.2169 | + | 4.88121i | −0.642062 | + | 0.172040i | ||||
\(806\) | −2.42523 | − | 11.9511i | −0.0854251 | − | 0.420961i | ||||
\(807\) | 19.8994 | − | 31.3300i | 0.700491 | − | 1.10287i | ||||
\(808\) | 5.29069 | − | 11.0493i | 0.186126 | − | 0.388712i | ||||
\(809\) | −42.6915 | −1.50095 | −0.750477 | − | 0.660897i | \(-0.770176\pi\) | ||||
−0.750477 | + | 0.660897i | \(0.770176\pi\) | |||||||
\(810\) | −13.8819 | + | 0.432389i | −0.487760 | + | 0.0151926i | ||||
\(811\) | −21.6324 | + | 21.6324i | −0.759616 | + | 0.759616i | −0.976252 | − | 0.216637i | \(-0.930491\pi\) |
0.216637 | + | 0.976252i | \(0.430491\pi\) | |||||||
\(812\) | 12.9000 | − | 31.8364i | 0.452700 | − | 1.11724i | ||||
\(813\) | −33.8641 | + | 7.55600i | −1.18767 | + | 0.265001i | ||||
\(814\) | −24.4101 | + | 36.8394i | −0.855574 | + | 1.29122i | ||||
\(815\) | −5.97131 | + | 10.3426i | −0.209166 | + | 0.362286i | ||||
\(816\) | 5.11885 | + | 9.44227i | 0.179196 | + | 0.330546i | ||||
\(817\) | 16.4028 | + | 28.4105i | 0.573861 | + | 0.993957i | ||||
\(818\) | 31.8523 | + | 1.96424i | 1.11369 | + | 0.0686780i | ||||
\(819\) | 15.8356 | − | 43.8802i | 0.553339 | − | 1.53330i | ||||
\(820\) | −5.49803 | + | 4.28664i | −0.192000 | + | 0.149696i | ||||
\(821\) | 41.7600 | + | 11.1896i | 1.45744 | + | 0.390519i | 0.898603 | − | 0.438762i | \(-0.144583\pi\) |
0.558832 | + | 0.829281i | \(0.311250\pi\) | |||||||
\(822\) | −9.80375 | + | 25.6056i | −0.341945 | + | 0.893099i | ||||
\(823\) | −7.47369 | + | 12.9448i | −0.260516 | + | 0.451227i | −0.966379 | − | 0.257121i | \(-0.917226\pi\) |
0.705863 | + | 0.708348i | \(0.250559\pi\) | |||||||
\(824\) | −5.37266 | − | 4.60271i | −0.187165 | − | 0.160343i | ||||
\(825\) | −21.3836 | + | 11.1687i | −0.744481 | + | 0.388845i | ||||
\(826\) | 71.9174 | + | 24.1034i | 2.50233 | + | 0.838665i | ||||
\(827\) | 3.17437 | + | 3.17437i | 0.110384 | + | 0.110384i | 0.760141 | − | 0.649758i | \(-0.225130\pi\) |
−0.649758 | + | 0.760141i | \(0.725130\pi\) | |||||||
\(828\) | 17.8877 | − | 19.9353i | 0.621640 | − | 0.692801i | ||||
\(829\) | −6.24227 | + | 6.24227i | −0.216803 | + | 0.216803i | −0.807150 | − | 0.590347i | \(-0.798991\pi\) |
0.590347 | + | 0.807150i | \(0.298991\pi\) | |||||||
\(830\) | 10.6941 | + | 21.4761i | 0.371199 | + | 0.745448i | ||||
\(831\) | 48.1445 | + | 2.03619i | 1.67012 | + | 0.0706348i | ||||
\(832\) | −3.45488 | + | 31.9442i | −0.119777 | + | 1.10747i | ||||
\(833\) | 10.7274 | + | 6.19349i | 0.371684 | + | 0.214592i | ||||
\(834\) | −4.48960 | + | 6.19062i | −0.155462 | + | 0.214364i | ||||
\(835\) | −5.33301 | + | 19.9031i | −0.184556 | + | 0.688774i | ||||
\(836\) | 5.16116 | − | 41.6879i | 0.178503 | − | 1.44181i | ||||
\(837\) | −1.50144 | − | 11.0546i | −0.0518974 | − | 0.382102i | ||||
\(838\) | 0.524711 | + | 0.593679i | 0.0181258 | + | 0.0205083i | ||||
\(839\) | 8.61601 | − | 4.97446i | 0.297458 | − | 0.171737i | −0.343842 | − | 0.939027i | \(-0.611729\pi\) |
0.641300 | + | 0.767290i | \(0.278395\pi\) | |||||||
\(840\) | 14.1176 | − | 15.1350i | 0.487104 | − | 0.522206i | ||||
\(841\) | 8.07235 | + | 4.66057i | 0.278357 | + | 0.160709i | ||||
\(842\) | −6.14674 | − | 30.2901i | −0.211831 | − | 1.04387i | ||||
\(843\) | −22.5362 | + | 20.7073i | −0.776189 | + | 0.713197i | ||||
\(844\) | −11.5939 | + | 28.6131i | −0.399079 | + | 0.984905i | ||||
\(845\) | −2.41567 | − | 2.41567i | −0.0831016 | − | 0.0831016i | ||||
\(846\) | −0.415005 | − | 0.0610782i | −0.0142682 | − | 0.00209991i | ||||
\(847\) | 9.17346i | 0.315204i | ||||||||
\(848\) | −8.50500 | − | 4.73677i | −0.292063 | − | 0.162661i | ||||
\(849\) | 37.3737 | − | 19.5204i | 1.28266 | − | 0.669939i | ||||
\(850\) | 6.96189 | + | 4.61301i | 0.238791 | + | 0.158225i | ||||
\(851\) | −9.87421 | − | 36.8511i | −0.338484 | − | 1.26324i | ||||
\(852\) | −10.2125 | + | 22.4307i | −0.349874 | + | 0.768462i | ||||
\(853\) | −5.53253 | + | 20.6477i | −0.189430 | + | 0.706963i | 0.804208 | + | 0.594347i | \(0.202590\pi\) |
−0.993639 | + | 0.112616i | \(0.964077\pi\) | |||||||
\(854\) | 32.6442 | + | 36.9349i | 1.11706 | + | 1.26389i | ||||
\(855\) | 1.58773 | − | 18.7369i | 0.0542992 | − | 0.640787i | ||||
\(856\) | 19.8349 | − | 13.5882i | 0.677944 | − | 0.464435i | ||||
\(857\) | 6.86646 | + | 11.8931i | 0.234554 | + | 0.406259i | 0.959143 | − | 0.282922i | \(-0.0913038\pi\) |
−0.724589 | + | 0.689181i | \(0.757970\pi\) | |||||||
\(858\) | −22.6617 | − | 27.9356i | −0.773657 | − | 0.953704i | ||||
\(859\) | −3.65143 | − | 13.6273i | −0.124585 | − | 0.464958i | 0.875239 | − | 0.483690i | \(-0.160704\pi\) |
−0.999825 | + | 0.0187321i | \(0.994037\pi\) | |||||||
\(860\) | 9.94651 | + | 7.51092i | 0.339173 | + | 0.256120i | ||||
\(861\) | −4.66520 | − | 20.9083i | −0.158990 | − | 0.712552i | ||||
\(862\) | −10.2514 | + | 5.10474i | −0.349165 | + | 0.173868i | ||||
\(863\) | 30.6861 | 1.04457 | 0.522284 | − | 0.852772i | \(-0.325080\pi\) | ||||
0.522284 | + | 0.852772i | \(0.325080\pi\) | |||||||
\(864\) | −5.05838 | + | 28.9554i | −0.172089 | + | 0.985081i | ||||
\(865\) | 18.4805 | 0.628355 | ||||||||
\(866\) | −35.4945 | + | 17.6746i | −1.20615 | + | 0.600608i | ||||
\(867\) | −5.50576 | − | 24.6754i | −0.186985 | − | 0.838021i | ||||
\(868\) | 13.2673 | + | 10.0186i | 0.450322 | + | 0.340052i | ||||
\(869\) | 15.5610 | + | 58.0745i | 0.527871 | + | 1.97004i | ||||
\(870\) | −7.46984 | − | 9.20823i | −0.253251 | − | 0.312188i | ||||
\(871\) | 1.95283 | + | 3.38240i | 0.0661692 | + | 0.114608i | ||||
\(872\) | 1.99157 | + | 2.90714i | 0.0674432 | + | 0.0984481i | ||||
\(873\) | −0.262368 | − | 0.182647i | −0.00887981 | − | 0.00618165i | ||||
\(874\) | 24.0152 | + | 27.1717i | 0.812326 | + | 0.919098i | ||||
\(875\) | 9.63260 | − | 35.9493i | 0.325641 | − | 1.21531i | ||||
\(876\) | −14.9449 | + | 32.8248i | −0.504940 | + | 1.10905i | ||||
\(877\) | 5.67328 | + | 21.1730i | 0.191573 | + | 0.714960i | 0.993127 | + | 0.117038i | \(0.0373400\pi\) |
−0.801554 | + | 0.597922i | \(0.795993\pi\) | |||||||
\(878\) | −33.7174 | − | 22.3414i | −1.13791 | − | 0.753986i | ||||
\(879\) | −8.00312 | + | 4.18005i | −0.269938 | + | 0.140990i | ||||
\(880\) | −4.36816 | − | 15.3500i | −0.147251 | − | 0.517447i | ||||
\(881\) | − | 15.7695i | − | 0.531287i | −0.964071 | − | 0.265644i | \(-0.914416\pi\) | ||
0.964071 | − | 0.265644i | \(-0.0855845\pi\) | |||||||
\(882\) | 12.4945 | + | 31.5132i | 0.420713 | + | 1.06110i | ||||
\(883\) | −32.1210 | − | 32.1210i | −1.08096 | − | 1.08096i | −0.996420 | − | 0.0845378i | \(-0.973059\pi\) |
−0.0845378 | − | 0.996420i | \(-0.526941\pi\) | |||||||
\(884\) | −4.67646 | + | 11.5412i | −0.157286 | + | 0.388174i | ||||
\(885\) | 19.2788 | − | 17.7142i | 0.648050 | − | 0.595458i | ||||
\(886\) | −1.89200 | − | 9.32347i | −0.0635631 | − | 0.313228i | ||||
\(887\) | 5.68281 | + | 3.28097i | 0.190810 | + | 0.110164i | 0.592362 | − | 0.805672i | \(-0.298196\pi\) |
−0.401552 | + | 0.915836i | \(0.631529\pi\) | |||||||
\(888\) | 30.6165 | + | 28.5585i | 1.02742 | + | 0.958362i | ||||
\(889\) | −12.6307 | + | 7.29233i | −0.423620 | + | 0.244577i | ||||
\(890\) | −11.4867 | − | 12.9965i | −0.385034 | − | 0.435642i | ||||
\(891\) | −19.0220 | − | 26.8530i | −0.637261 | − | 0.899608i | ||||
\(892\) | 4.30617 | − | 34.7819i | 0.144181 | − | 1.16458i | ||||
\(893\) | 0.146992 | − | 0.548583i | 0.00491891 | − | 0.0183576i | ||||
\(894\) | 21.5406 | − | 29.7020i | 0.720426 | − | 0.993383i | ||||
\(895\) | −6.48322 | − | 3.74309i | −0.216710 | − | 0.125118i | ||||
\(896\) | −25.3113 | − | 35.7504i | −0.845590 | − | 1.19434i | ||||
\(897\) | 31.0260 | + | 1.31219i | 1.03593 | + | 0.0438129i | ||||
\(898\) | 21.5145 | + | 43.2058i | 0.717948 | + | 1.44180i | ||||
\(899\) | 6.73464 | − | 6.73464i | 0.224613 | − | 0.224613i | ||||
\(900\) | 7.10032 | + | 21.7249i | 0.236677 | + | 0.724164i | ||||
\(901\) | −2.66790 | − | 2.66790i | −0.0888808 | − | 0.0888808i | ||||
\(902\) | −15.6623 | − | 5.24930i | −0.521499 | − | 0.174783i | ||||
\(903\) | −33.9473 | + | 17.7308i | −1.12969 | + | 0.590043i | ||||
\(904\) | −4.53347 | + | 5.29184i | −0.150781 | + | 0.176004i | ||||
\(905\) | 1.53424 | − | 2.65738i | 0.0509999 | − | 0.0883344i | ||||
\(906\) | 0.527938 | − | 1.37888i | 0.0175396 | − | 0.0458102i | ||||
\(907\) | −21.9728 | − | 5.88760i | −0.729596 | − | 0.195495i | −0.125147 | − | 0.992138i | \(-0.539940\pi\) |
−0.604449 | + | 0.796644i | \(0.706607\pi\) | |||||||
\(908\) | 31.9904 | − | 24.9419i | 1.06164 | − | 0.827727i | ||||
\(909\) | 12.7901 | − | 2.29127i | 0.424222 | − | 0.0759965i | ||||
\(910\) | 23.9510 | + | 1.47699i | 0.793969 | + | 0.0489617i | ||||
\(911\) | 5.27703 | + | 9.14009i | 0.174836 | + | 0.302825i | 0.940104 | − | 0.340887i | \(-0.110727\pi\) |
−0.765269 | + | 0.643711i | \(0.777394\pi\) | |||||||
\(912\) | −38.1507 | − | 11.3275i | −1.26330 | − | 0.375092i | ||||
\(913\) | −28.4227 | + | 49.2295i | −0.940653 | + | 1.62926i | ||||
\(914\) | 0.206329 | − | 0.311389i | 0.00682475 | − | 0.0102998i | ||||
\(915\) | 16.6066 | − | 3.70538i | 0.548997 | − | 0.122496i | ||||
\(916\) | 11.6919 | − | 28.8550i | 0.386312 | − | 0.953397i | ||||
\(917\) | 3.64675 | − | 3.64675i | 0.120426 | − | 0.120426i | ||||
\(918\) | −4.95713 | + | 10.2570i | −0.163610 | + | 0.338531i | ||||
\(919\) | −0.366138 | −0.0120778 | −0.00603890 | − | 0.999982i | \(-0.501922\pi\) | ||||
−0.00603890 | + | 0.999982i | \(0.501922\pi\) | |||||||
\(920\) | 12.4265 | + | 5.95013i | 0.409688 | + | 0.196170i | ||||
\(921\) | 3.71217 | − | 5.84454i | 0.122320 | − | 0.192584i | ||||
\(922\) | 6.45109 | + | 31.7899i | 0.212455 | + | 1.04694i | ||||
\(923\) | −27.6012 | + | 7.39573i | −0.908506 | + | 0.243433i | ||||
\(924\) | 48.3703 | + | 8.07652i | 1.59127 | + | 0.265698i | ||||
\(925\) | 31.4463 | + | 8.42601i | 1.03395 | + | 0.277046i | ||||
\(926\) | −41.0208 | − | 2.52963i | −1.34803 | − | 0.0831289i | ||||
\(927\) | 0.633587 | − | 7.47698i | 0.0208097 | − | 0.245576i | ||||
\(928\) | −22.2880 | + | 11.5313i | −0.731638 | + | 0.378533i | ||||
\(929\) | −40.6720 | + | 23.4820i | −1.33440 | + | 0.770419i | −0.985971 | − | 0.166915i | \(-0.946619\pi\) |
−0.348433 | + | 0.937334i | \(0.613286\pi\) | |||||||
\(930\) | 5.24046 | − | 2.33862i | 0.171842 | − | 0.0766865i | ||||
\(931\) | −44.3335 | + | 11.8791i | −1.45297 | + | 0.389323i | ||||
\(932\) | −32.7439 | + | 43.3619i | −1.07256 | + | 1.42037i | ||||
\(933\) | −1.50773 | + | 4.80478i | −0.0493610 | + | 0.157301i | ||||
\(934\) | 0.934123 | − | 2.78714i | 0.0305654 | − | 0.0911981i | ||||
\(935\) | − | 6.18532i | − | 0.202281i | ||||||
\(936\) | −29.6408 | + | 16.8178i | −0.968839 | + | 0.549708i | ||||
\(937\) | 52.8156i | 1.72541i | 0.505706 | + | 0.862706i | \(0.331232\pi\) | ||||
−0.505706 | + | 0.862706i | \(0.668768\pi\) | |||||||
\(938\) | −5.04859 | − | 1.69206i | −0.164842 | − | 0.0552476i | ||||
\(939\) | 24.3759 | + | 26.5288i | 0.795477 | + | 0.865735i | ||||
\(940\) | −0.0298154 | − | 0.213706i | −0.000972471 | − | 0.00697031i | ||||
\(941\) | 53.1569 | − | 14.2433i | 1.73286 | − | 0.464320i | 0.752024 | − | 0.659135i | \(-0.229078\pi\) |
0.980840 | + | 0.194816i | \(0.0624109\pi\) | |||||||
\(942\) | 10.0129 | − | 13.8067i | 0.326239 | − | 0.449845i | ||||
\(943\) | 12.3498 | − | 7.13015i | 0.402164 | − | 0.232190i | ||||
\(944\) | −28.4429 | − | 47.5532i | −0.925738 | − | 1.54773i | ||||
\(945\) | 21.7764 | + | 2.77625i | 0.708387 | + | 0.0903113i | ||||
\(946\) | −1.81769 | + | 29.4758i | −0.0590981 | + | 0.958342i | ||||
\(947\) | 18.7824 | + | 5.03273i | 0.610346 | + | 0.163542i | 0.550735 | − | 0.834680i | \(-0.314347\pi\) |
0.0596105 | + | 0.998222i | \(0.481014\pi\) | |||||||
\(948\) | 56.6967 | − | 5.47988i | 1.84142 | − | 0.177978i | ||||
\(949\) | −40.3914 | + | 10.8228i | −1.31116 | + | 0.351324i | ||||
\(950\) | −30.3267 | + | 6.15416i | −0.983927 | + | 0.199667i | ||||
\(951\) | 18.1886 | + | 0.769258i | 0.589807 | + | 0.0249449i | ||||
\(952\) | −5.64283 | − | 16.0115i | −0.182885 | − | 0.518936i | ||||
\(953\) | −32.2129 | −1.04348 | −0.521739 | − | 0.853105i | \(-0.674717\pi\) | ||||
−0.521739 | + | 0.853105i | \(0.674717\pi\) | |||||||
\(954\) | −1.19174 | − | 10.2566i | −0.0385841 | − | 0.332070i | ||||
\(955\) | −15.7400 | + | 15.7400i | −0.509334 | + | 0.509334i | ||||
\(956\) | −3.86745 | − | 9.13665i | −0.125082 | − | 0.295500i | ||||
\(957\) | 8.41149 | − | 26.8054i | 0.271905 | − | 0.866494i | ||||
\(958\) | −27.8566 | − | 18.4580i | −0.900007 | − | 0.596352i | ||||
\(959\) | 21.6690 | − | 37.5318i | 0.699729 | − | 1.21197i | ||||
\(960\) | −15.0256 | + | 1.68684i | −0.484950 | + | 0.0544426i | ||||
\(961\) | −13.1952 | − | 22.8548i | −0.425652 | − | 0.737251i | ||||
\(962\) | −2.98780 | + | 48.4506i | −0.0963307 | + | 1.56211i | ||||
\(963\) | 23.9872 | + | 8.65653i | 0.772976 | + | 0.278953i | ||||
\(964\) | −19.6011 | − | 2.42671i | −0.631308 | − | 0.0781590i | ||||
\(965\) | −17.5051 | − | 4.69047i | −0.563508 | − | 0.150992i | ||||
\(966\) | −32.8779 | + | 26.6710i | −1.05783 | + | 0.858126i | ||||
\(967\) | −6.78008 | + | 11.7434i | −0.218033 | + | 0.377644i | −0.954206 | − | 0.299149i | \(-0.903297\pi\) |
0.736174 | + | 0.676793i | \(0.236631\pi\) | |||||||
\(968\) | 4.35997 | − | 5.08931i | 0.140135 | − | 0.163577i | ||||
\(969\) | −13.0197 | − | 8.26948i | −0.418252 | − | 0.265654i | ||||
\(970\) | 0.0522567 | − | 0.155918i | 0.00167786 | − | 0.00500623i | ||||
\(971\) | −1.29201 | − | 1.29201i | −0.0414626 | − | 0.0414626i | 0.686072 | − | 0.727534i | \(-0.259334\pi\) |
−0.727534 | + | 0.686072i | \(0.759334\pi\) | |||||||
\(972\) | −28.0612 | + | 13.5856i | −0.900064 | + | 0.435757i | ||||
\(973\) | 8.54709 | − | 8.54709i | 0.274007 | − | 0.274007i | ||||
\(974\) | 10.6884 | − | 5.32231i | 0.342477 | − | 0.170538i | ||||
\(975\) | −14.2075 | + | 22.3686i | −0.455004 | + | 0.716370i | ||||
\(976\) | −0.556095 | − | 36.0062i | −0.0178002 | − | 1.15253i | ||||
\(977\) | −30.8504 | − | 17.8115i | −0.986993 | − | 0.569841i | −0.0826189 | − | 0.996581i | \(-0.526328\pi\) |
−0.904374 | + | 0.426741i | \(0.859662\pi\) | |||||||
\(978\) | −2.77926 | + | 26.6641i | −0.0888710 | + | 0.852625i | ||||
\(979\) | 10.6368 | − | 39.6971i | 0.339954 | − | 1.26872i | ||||
\(980\) | −13.7520 | + | 10.7220i | −0.439290 | + | 0.342501i | ||||
\(981\) | −1.26876 | + | 3.51572i | −0.0405084 | + | 0.112248i | ||||
\(982\) | −5.40485 | + | 4.77697i | −0.172476 | + | 0.152439i | ||||
\(983\) | 44.7746 | − | 25.8506i | 1.42809 | − | 0.824507i | 0.431118 | − | 0.902295i | \(-0.358119\pi\) |
0.996970 | + | 0.0777882i | \(0.0247858\pi\) | |||||||
\(984\) | −7.34911 | + | 13.8169i | −0.234281 | + | 0.440467i | ||||
\(985\) | −2.72373 | − | 1.57254i | −0.0867852 | − | 0.0501054i | ||||
\(986\) | −9.53141 | + | 1.93420i | −0.303542 | + | 0.0615975i | ||||
\(987\) | 0.632618 | + | 0.198515i | 0.0201365 | + | 0.00631880i | ||||
\(988\) | −17.9860 | − | 42.4910i | −0.572210 | − | 1.35182i | ||||
\(989\) | −18.0273 | − | 18.0273i | −0.573235 | − | 0.573235i | ||||
\(990\) | 10.5081 | − | 13.2710i | 0.333969 | − | 0.421781i | ||||
\(991\) | − | 27.3724i | − | 0.869513i | −0.900548 | − | 0.434756i | \(-0.856834\pi\) | ||
0.900548 | − | 0.434756i | \(-0.143166\pi\) | |||||||
\(992\) | −2.59890 | − | 11.8639i | −0.0825152 | − | 0.376678i | ||||
\(993\) | 0.565038 | − | 13.3600i | 0.0179309 | − | 0.423966i | ||||
\(994\) | 21.5177 | − | 32.4742i | 0.682500 | − | 1.03002i | ||||
\(995\) | −2.59742 | − | 9.69372i | −0.0823439 | − | 0.307311i | ||||
\(996\) | 41.5686 | + | 34.2414i | 1.31715 | + | 1.08498i | ||||
\(997\) | 13.9916 | − | 52.2174i | 0.443119 | − | 1.65374i | −0.277737 | − | 0.960657i | \(-0.589584\pi\) |
0.720856 | − | 0.693085i | \(-0.243749\pi\) | |||||||
\(998\) | 21.8735 | − | 19.3324i | 0.692392 | − | 0.611957i | ||||
\(999\) | −5.61608 | + | 44.0516i | −0.177685 | + | 1.39373i |
(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 | 144.2.u.a.59.4 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.395.19 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.527.13 | 88 | |||
9.2 | odd | 6 | inner | 144.2.u.a.11.5 | ✓ | 88 | |
9.7 | even | 3 | 432.2.v.a.251.18 | 88 | |||
12.11 | even | 2 | 1728.2.z.a.719.9 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.131.5 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.239.21 | 88 | |||
36.7 | odd | 6 | 1728.2.z.a.143.9 | 88 | |||
36.11 | even | 6 | 576.2.y.a.335.21 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1583.9 | 88 | |||
48.35 | even | 4 | 432.2.v.a.179.18 | 88 | |||
144.29 | odd | 12 | 576.2.y.a.47.13 | 88 | |||
144.61 | even | 12 | 1728.2.z.a.1007.9 | 88 | |||
144.83 | even | 12 | inner | 144.2.u.a.83.4 | yes | 88 | |
144.115 | odd | 12 | 432.2.v.a.35.19 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.5 | ✓ | 88 | 9.2 | odd | 6 | inner | |
144.2.u.a.59.4 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.83.4 | yes | 88 | 144.83 | even | 12 | inner | |
144.2.u.a.131.5 | yes | 88 | 16.3 | odd | 4 | inner | |
432.2.v.a.35.19 | 88 | 144.115 | odd | 12 | |||
432.2.v.a.179.18 | 88 | 48.35 | even | 4 | |||
432.2.v.a.251.18 | 88 | 9.7 | even | 3 | |||
432.2.v.a.395.19 | 88 | 3.2 | odd | 2 | |||
576.2.y.a.47.13 | 88 | 144.29 | odd | 12 | |||
576.2.y.a.239.21 | 88 | 16.13 | even | 4 | |||
576.2.y.a.335.21 | 88 | 36.11 | even | 6 | |||
576.2.y.a.527.13 | 88 | 4.3 | odd | 2 | |||
1728.2.z.a.143.9 | 88 | 36.7 | odd | 6 | |||
1728.2.z.a.719.9 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1007.9 | 88 | 144.61 | even | 12 | |||
1728.2.z.a.1583.9 | 88 | 48.29 | odd | 4 |