Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(3,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([63, 130]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bi (of order \(180\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(2400\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.13 | ||
Character | \(\chi\) | \(=\) | 950.3 |
Dual form | 950.2.bi.a.317.13 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974370 | − | 0.224951i | −0.688984 | − | 0.159064i | ||||
\(3\) | −0.00117903 | 0.000653545i | −0.000680712 | 0.000377325i | −0.485150 | − | 0.874431i | \(-0.661235\pi\) | ||
0.484469 | + | 0.874808i | \(0.339013\pi\) | |||||||
\(4\) | 0.898794 | + | 0.438371i | 0.449397 | + | 0.219186i | ||||
\(5\) | 1.22275 | + | 1.87213i | 0.546831 | + | 0.837243i | ||||
\(6\) | 0.00129582 | 0.000371572i | 0.000529018 | 0.000151693i | ||||||
\(7\) | −2.92963 | − | 0.784993i | −1.10730 | − | 0.296699i | −0.341565 | − | 0.939858i | \(-0.610957\pi\) |
−0.765733 | + | 0.643159i | \(0.777624\pi\) | |||||||
\(8\) | −0.777146 | − | 0.629320i | −0.274763 | − | 0.222498i | ||||
\(9\) | −1.58976 | + | 2.54414i | −0.529919 | + | 0.848048i | ||||
\(10\) | −0.770274 | − | 2.09921i | −0.243582 | − | 0.663828i | ||||
\(11\) | 2.94154 | + | 3.26691i | 0.886908 | + | 0.985011i | 0.999963 | − | 0.00857757i | \(-0.00273036\pi\) |
−0.113055 | + | 0.993589i | \(0.536064\pi\) | |||||||
\(12\) | −0.00134620 | 7.05512e-5i | −0.000388614 | 2.03664e-5i | ||||||
\(13\) | −4.50959 | − | 4.83594i | −1.25074 | − | 1.34125i | −0.917157 | − | 0.398527i | \(-0.869522\pi\) |
−0.333578 | − | 0.942722i | \(-0.608256\pi\) | |||||||
\(14\) | 2.67796 | + | 1.42390i | 0.715716 | + | 0.380553i | ||||
\(15\) | −0.00266518 | − | 0.00140817i | −0.000688147 | − | 0.000363588i | ||||
\(16\) | 0.615661 | + | 0.788011i | 0.153915 | + | 0.197003i | ||||
\(17\) | −2.39185 | + | 2.07921i | −0.580109 | + | 0.504281i | −0.895727 | − | 0.444605i | \(-0.853344\pi\) |
0.315617 | + | 0.948887i | \(0.397788\pi\) | |||||||
\(18\) | 2.12132 | − | 2.12132i | 0.500000 | − | 0.500000i | ||||
\(19\) | −0.0409236 | − | 4.35871i | −0.00938853 | − | 0.999956i | ||||
\(20\) | 0.278313 | + | 2.21868i | 0.0622327 | + | 0.496112i | ||||
\(21\) | 0.00396715 | 0.000989121i | 0.000865702 | 0.000215844i | ||||||
\(22\) | −2.13125 | − | 3.84488i | −0.454385 | − | 0.819732i | ||||
\(23\) | −2.20644 | − | 2.92804i | −0.460074 | − | 0.610539i | 0.507953 | − | 0.861385i | \(-0.330402\pi\) |
−0.968027 | + | 0.250846i | \(0.919291\pi\) | |||||||
\(24\) | 0.00132757 | 0.000234086i | 0.000270988 | 4.77825e-5i | ||||||
\(25\) | −2.00976 | + | 4.57830i | −0.401951 | + | 0.915661i | ||||
\(26\) | 3.30616 | + | 5.72643i | 0.648391 | + | 1.12305i | ||||
\(27\) | 0.000423307 | − | 0.00807718i | 8.14655e−5 | − | 0.00155445i | ||||
\(28\) | −2.28902 | − | 1.98981i | −0.432584 | − | 0.376040i | ||||
\(29\) | −8.47060 | + | 0.592322i | −1.57295 | + | 0.109991i | −0.829387 | − | 0.558674i | \(-0.811310\pi\) |
−0.743563 | + | 0.668666i | \(0.766866\pi\) | |||||||
\(30\) | 0.00228010 | + | 0.00197161i | 0.000416288 | + | 0.000359966i | ||||
\(31\) | 1.98930 | − | 4.46804i | 0.357289 | − | 0.802484i | −0.642069 | − | 0.766647i | \(-0.721924\pi\) |
0.999358 | − | 0.0358372i | \(-0.0114098\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −0.00560323 | − | 0.00192935i | −0.000975397 | − | 0.000335856i | ||||
\(34\) | 2.79827 | − | 1.48787i | 0.479899 | − | 0.255167i | ||||
\(35\) | −2.11260 | − | 6.44451i | −0.357095 | − | 1.08932i | ||||
\(36\) | −2.54414 | + | 1.58976i | −0.424024 | + | 0.264959i | ||||
\(37\) | 4.85895 | − | 9.53623i | 0.798806 | − | 1.56775i | −0.0241956 | − | 0.999707i | \(-0.507702\pi\) |
0.823002 | − | 0.568038i | \(-0.192298\pi\) | |||||||
\(38\) | −0.940621 | + | 4.25620i | −0.152589 | + | 0.690447i | ||||
\(39\) | 0.00847744 | + | 0.00275449i | 0.00135748 | + | 0.000441071i | ||||
\(40\) | 0.227914 | − | 2.22442i | 0.0360364 | − | 0.351712i | ||||
\(41\) | 6.94720 | − | 5.42775i | 1.08497 | − | 0.847672i | 0.0959403 | − | 0.995387i | \(-0.469414\pi\) |
0.989030 | + | 0.147715i | \(0.0471920\pi\) | |||||||
\(42\) | −0.00408797 | 7.13558e-5i | −0.000630788 | 1.10104e-5i | ||||||
\(43\) | −4.61740 | + | 3.23314i | −0.704147 | + | 0.493049i | −0.869969 | − | 0.493106i | \(-0.835861\pi\) |
0.165822 | + | 0.986156i | \(0.446972\pi\) | |||||||
\(44\) | 1.21172 | + | 4.22577i | 0.182674 | + | 0.637059i | ||||
\(45\) | −6.70685 | + | 0.134620i | −0.999798 | + | 0.0200679i | ||||
\(46\) | 1.49122 | + | 3.34934i | 0.219869 | + | 0.493833i | ||||
\(47\) | −0.639885 | + | 0.736103i | −0.0933368 | + | 0.107372i | −0.799466 | − | 0.600711i | \(-0.794884\pi\) |
0.706129 | + | 0.708083i | \(0.250440\pi\) | |||||||
\(48\) | −0.00124088 | 0.000526723i | −0.000179106 | 7.60260e-5i | ||||||
\(49\) | 1.90436 | + | 1.09948i | 0.272052 | + | 0.157069i | ||||
\(50\) | 2.98814 | − | 4.00887i | 0.422587 | − | 0.566939i | ||||
\(51\) | 0.00146120 | − | 0.00401462i | 0.000204609 | − | 0.000562160i | ||||
\(52\) | −1.93325 | − | 6.32339i | −0.268094 | − | 0.876896i | ||||
\(53\) | 1.84693 | + | 5.36388i | 0.253696 | + | 0.736786i | 0.997648 | + | 0.0685525i | \(0.0218381\pi\) |
−0.743952 | + | 0.668233i | \(0.767051\pi\) | |||||||
\(54\) | −0.00222943 | + | 0.00777494i | −0.000303387 | + | 0.00105804i | ||||
\(55\) | −2.51932 | + | 9.50158i | −0.339705 | + | 1.28119i | ||||
\(56\) | 1.78274 | + | 2.45373i | 0.238229 | + | 0.327894i | ||||
\(57\) | 0.00289686 | + | 0.00511229i | 0.000383699 | + | 0.000677139i | ||||
\(58\) | 8.38674 | + | 1.32833i | 1.10123 | + | 0.174418i | ||||
\(59\) | −3.03305 | + | 7.50706i | −0.394869 | + | 0.977336i | 0.590521 | + | 0.807023i | \(0.298922\pi\) |
−0.985390 | + | 0.170313i | \(0.945522\pi\) | |||||||
\(60\) | −0.00177815 | − | 0.00243399i | −0.000229558 | − | 0.000314227i | ||||
\(61\) | −8.80411 | − | 1.23734i | −1.12725 | − | 0.158425i | −0.449194 | − | 0.893434i | \(-0.648289\pi\) |
−0.678057 | + | 0.735010i | \(0.737178\pi\) | |||||||
\(62\) | −2.94341 | + | 3.90603i | −0.373813 | + | 0.496067i | ||||
\(63\) | 6.65454 | − | 6.20546i | 0.838393 | − | 0.781814i | ||||
\(64\) | 0.207912 | + | 0.978148i | 0.0259890 | + | 0.122268i | ||||
\(65\) | 3.53942 | − | 14.3557i | 0.439011 | − | 1.78061i | ||||
\(66\) | 0.00502561 | + | 0.00314035i | 0.000618610 | + | 0.000386551i | ||||
\(67\) | 6.21958 | − | 3.73710i | 0.759842 | − | 0.456559i | −0.0817635 | − | 0.996652i | \(-0.526055\pi\) |
0.841606 | + | 0.540093i | \(0.181611\pi\) | |||||||
\(68\) | −3.06125 | + | 0.820259i | −0.371231 | + | 0.0994710i | ||||
\(69\) | 0.00451506 | + | 0.00201023i | 0.000543549 | + | 0.000242004i | ||||
\(70\) | 0.608758 | + | 6.75457i | 0.0727605 | + | 0.807326i | ||||
\(71\) | −2.23115 | − | 2.31043i | −0.264789 | − | 0.274197i | 0.573760 | − | 0.819024i | \(-0.305484\pi\) |
−0.838549 | + | 0.544827i | \(0.816595\pi\) | |||||||
\(72\) | 2.83655 | − | 0.976704i | 0.334291 | − | 0.115106i | ||||
\(73\) | 0.00888918 | − | 0.00953247i | 0.00104040 | − | 0.00111569i | −0.730833 | − | 0.682556i | \(-0.760868\pi\) |
0.731874 | + | 0.681440i | \(0.238646\pi\) | |||||||
\(74\) | −6.87960 | + | 8.19879i | −0.799737 | + | 0.953090i | ||||
\(75\) | −0.000622572 | − | 0.00671141i | −7.18884e−5 | − | 0.000774967i | ||||
\(76\) | 1.87395 | − | 3.93552i | 0.214957 | − | 0.451435i | ||||
\(77\) | −6.05314 | − | 11.8799i | −0.689819 | − | 1.35385i | ||||
\(78\) | −0.00764053 | − | 0.00459090i | −0.000865120 | − | 0.000519817i | ||||
\(79\) | −6.90800 | − | 1.98084i | −0.777210 | − | 0.222861i | −0.136496 | − | 0.990641i | \(-0.543584\pi\) |
−0.640715 | + | 0.767779i | \(0.721362\pi\) | |||||||
\(80\) | −0.722459 | + | 2.11614i | −0.0807734 | + | 0.236592i | ||||
\(81\) | −3.94533 | − | 8.08913i | −0.438370 | − | 0.898792i | ||||
\(82\) | −7.99012 | + | 3.72585i | −0.882361 | + | 0.411452i | ||||
\(83\) | 0.302209 | + | 0.787282i | 0.0331718 | + | 0.0864155i | 0.949166 | − | 0.314776i | \(-0.101929\pi\) |
−0.915994 | + | 0.401192i | \(0.868596\pi\) | |||||||
\(84\) | 0.00399925 | 0.000850067i | 0.000436354 | 9.27499e-5i | ||||||
\(85\) | −6.81719 | − | 1.93551i | −0.739428 | − | 0.209936i | ||||
\(86\) | 5.22636 | − | 2.11159i | 0.563573 | − | 0.227698i | ||||
\(87\) | 0.00959995 | − | 0.00623428i | 0.00102922 | − | 0.000668385i | ||||
\(88\) | −0.230072 | − | 4.39004i | −0.0245258 | − | 0.467980i | ||||
\(89\) | 1.59342 | − | 2.03949i | 0.168903 | − | 0.216185i | −0.696111 | − | 0.717934i | \(-0.745088\pi\) |
0.865013 | + | 0.501749i | \(0.167310\pi\) | |||||||
\(90\) | 6.56524 | + | 1.37754i | 0.692037 | + | 0.145206i | ||||
\(91\) | 9.41527 | + | 17.7075i | 0.986988 | + | 1.85625i | ||||
\(92\) | −0.699564 | − | 3.59895i | −0.0729346 | − | 0.375216i | ||||
\(93\) | 0.000574629 | 0.00656804i | 5.95863e−5 | 0.000681074i | ||||||
\(94\) | 0.789072 | − | 0.573294i | 0.0813865 | − | 0.0591308i | ||||
\(95\) | 8.11004 | − | 5.40623i | 0.832072 | − | 0.554667i | ||||
\(96\) | 0.00109059 | 0.000792361i | 0.000111308 | 8.08700e-5i | ||||||
\(97\) | −4.75151 | + | 7.90785i | −0.482443 | + | 0.802920i | −0.998563 | − | 0.0535964i | \(-0.982932\pi\) |
0.516120 | + | 0.856517i | \(0.327376\pi\) | |||||||
\(98\) | −1.60822 | − | 1.49969i | −0.162455 | − | 0.151492i | ||||
\(99\) | −12.9878 | + | 2.29010i | −1.30533 | + | 0.230164i | ||||
\(100\) | −3.81335 | + | 3.23393i | −0.381335 | + | 0.323393i | ||||
\(101\) | −8.95012 | − | 3.25758i | −0.890571 | − | 0.324141i | −0.144103 | − | 0.989563i | \(-0.546030\pi\) |
−0.746468 | + | 0.665422i | \(0.768252\pi\) | |||||||
\(102\) | −0.00232685 | + | 0.00358303i | −0.000230392 | + | 0.000354773i | ||||
\(103\) | −4.06158 | + | 10.5808i | −0.400199 | + | 1.04255i | 0.574395 | + | 0.818578i | \(0.305237\pi\) |
−0.974595 | + | 0.223977i | \(0.928096\pi\) | |||||||
\(104\) | 0.461252 | + | 6.59621i | 0.0452295 | + | 0.646812i | ||||
\(105\) | 0.00670260 | + | 0.00621757i | 0.000654107 | + | 0.000606773i | ||||
\(106\) | −0.592985 | − | 5.64187i | −0.0575958 | − | 0.547987i | ||||
\(107\) | −5.05772 | + | 18.8757i | −0.488948 | + | 1.82478i | 0.0726329 | + | 0.997359i | \(0.476860\pi\) |
−0.561581 | + | 0.827422i | \(0.689807\pi\) | |||||||
\(108\) | 0.00392127 | − | 0.00707416i | 0.000377324 | − | 0.000680711i | ||||
\(109\) | −19.1830 | + | 2.69600i | −1.83740 | + | 0.258230i | −0.970648 | − | 0.240504i | \(-0.922687\pi\) |
−0.866755 | + | 0.498734i | \(0.833798\pi\) | |||||||
\(110\) | 4.59214 | − | 8.69133i | 0.437843 | − | 0.828686i | ||||
\(111\) | 0.000503523 | 0.0144190i | 4.77923e−5 | 0.00136859i | ||||||
\(112\) | −1.18508 | − | 2.79187i | −0.111980 | − | 0.263807i | ||||
\(113\) | −13.9961 | − | 7.13134i | −1.31664 | − | 0.670860i | −0.352388 | − | 0.935854i | \(-0.614630\pi\) |
−0.964250 | + | 0.264994i | \(0.914630\pi\) | |||||||
\(114\) | −0.00167260 | − | 0.00563291i | −0.000156653 | − | 0.000527571i | ||||
\(115\) | 2.78376 | − | 7.71101i | 0.259587 | − | 0.719056i | ||||
\(116\) | −7.87298 | − | 3.18089i | −0.730988 | − | 0.295338i | ||||
\(117\) | 19.4725 | − | 3.78507i | 1.80023 | − | 0.349930i | ||||
\(118\) | 4.64403 | − | 6.63237i | 0.427518 | − | 0.610559i | ||||
\(119\) | 8.63942 | − | 4.21372i | 0.791974 | − | 0.386271i | ||||
\(120\) | 0.00118504 | + | 0.00277161i | 0.000108179 | + | 0.000253012i | ||||
\(121\) | −0.870239 | + | 8.27977i | −0.0791127 | + | 0.752707i | ||||
\(122\) | 8.30012 | + | 3.18612i | 0.751458 | + | 0.288458i | ||||
\(123\) | −0.00464366 | + | 0.0109398i | −0.000418704 | + | 0.000986406i | ||||
\(124\) | 3.74663 | − | 3.14380i | 0.336458 | − | 0.282322i | ||||
\(125\) | −11.0286 | + | 1.83560i | −0.986430 | + | 0.164181i | ||||
\(126\) | −7.87991 | + | 4.54947i | −0.701998 | + | 0.405299i | ||||
\(127\) | −18.8409 | + | 2.31337i | −1.67186 | + | 0.205278i | −0.901635 | − | 0.432498i | \(-0.857632\pi\) |
−0.770222 | + | 0.637776i | \(0.779855\pi\) | |||||||
\(128\) | 0.0174524 | − | 0.999848i | 0.00154259 | − | 0.0883749i | ||||
\(129\) | 0.00333104 | − | 0.00682964i | 0.000293282 | − | 0.000601317i | ||||
\(130\) | −6.67803 | + | 13.1916i | −0.585702 | + | 1.15698i | ||||
\(131\) | 20.2349 | + | 1.41496i | 1.76793 | + | 0.123626i | 0.916292 | − | 0.400510i | \(-0.131167\pi\) |
0.851635 | + | 0.524135i | \(0.175611\pi\) | |||||||
\(132\) | −0.00419038 | − | 0.00419038i | −0.000364726 | − | 0.000364726i | ||||
\(133\) | −3.30166 | + | 12.8015i | −0.286291 | + | 1.11003i | ||||
\(134\) | −6.90083 | + | 2.24222i | −0.596141 | + | 0.193698i | ||||
\(135\) | 0.0156392 | − | 0.00908390i | 0.00134600 | − | 0.000781818i | ||||
\(136\) | 3.16731 | − | 0.110605i | 0.271594 | − | 0.00948428i | ||||
\(137\) | 5.49612 | − | 17.9770i | 0.469565 | − | 1.53588i | −0.335120 | − | 0.942176i | \(-0.608777\pi\) |
0.804685 | − | 0.593702i | \(-0.202334\pi\) | |||||||
\(138\) | −0.00394713 | − | 0.00297438i | −0.000336002 | − | 0.000253196i | ||||
\(139\) | 0.893563 | + | 0.698128i | 0.0757910 | + | 0.0592144i | 0.652845 | − | 0.757492i | \(-0.273575\pi\) |
−0.577054 | + | 0.816706i | \(0.695798\pi\) | |||||||
\(140\) | 0.926293 | − | 6.71839i | 0.0782860 | − | 0.567808i | ||||
\(141\) | 0.000273365 | − | 0.00128608i | 2.30215e−5 | − | 0.000108307i | ||||
\(142\) | 1.65424 | + | 2.75311i | 0.138820 | + | 0.231036i | ||||
\(143\) | 2.53346 | − | 28.9576i | 0.211858 | − | 2.42155i | ||||
\(144\) | −2.98356 | + | 0.313585i | −0.248630 | + | 0.0261321i | ||||
\(145\) | −11.4663 | − | 15.1338i | −0.952228 | − | 1.25679i | ||||
\(146\) | −0.0108057 | + | 0.00728853i | −0.000894285 | + | 0.000603203i | ||||
\(147\) | −0.00296386 | 5.17344e-5i | −0.000244455 | 4.26698e-6i | ||||||
\(148\) | 8.54760 | − | 6.44108i | 0.702608 | − | 0.529453i | ||||
\(149\) | 0.604547 | + | 1.66098i | 0.0495264 | + | 0.136073i | 0.961990 | − | 0.273086i | \(-0.0880444\pi\) |
−0.912463 | + | 0.409159i | \(0.865822\pi\) | |||||||
\(150\) | −0.000903124 | 0.00667945i | −7.37398e−5 | 0.000545375i | ||||||
\(151\) | 11.6520i | 0.948227i | 0.880464 | + | 0.474113i | \(0.157231\pi\) | ||||
−0.880464 | + | 0.474113i | \(0.842769\pi\) | |||||||
\(152\) | −2.71122 | + | 3.41311i | −0.219909 | + | 0.276839i | ||||
\(153\) | −1.48733 | − | 9.39065i | −0.120244 | − | 0.759189i | ||||
\(154\) | 3.22559 | + | 12.9371i | 0.259925 | + | 1.04250i | ||||
\(155\) | 10.7972 | − | 1.73907i | 0.867251 | − | 0.139686i | ||||
\(156\) | 0.00641198 | + | 0.00619198i | 0.000513369 | + | 0.000495755i | ||||
\(157\) | 4.62043 | + | 6.59866i | 0.368751 | + | 0.526631i | 0.960053 | − | 0.279820i | \(-0.0902747\pi\) |
−0.591302 | + | 0.806450i | \(0.701386\pi\) | |||||||
\(158\) | 6.28535 | + | 3.48403i | 0.500036 | + | 0.277174i | ||||
\(159\) | −0.00568312 | − | 0.00511711i | −0.000450701 | − | 0.000405813i | ||||
\(160\) | 1.17997 | − | 1.89939i | 0.0932849 | − | 0.150160i | ||||
\(161\) | 4.16556 | + | 10.3101i | 0.328292 | + | 0.812552i | ||||
\(162\) | 2.02456 | + | 8.76931i | 0.159064 | + | 0.688982i | ||||
\(163\) | 10.6961 | + | 16.4705i | 0.837782 | + | 1.29007i | 0.954892 | + | 0.296952i | \(0.0959702\pi\) |
−0.117110 | + | 0.993119i | \(0.537363\pi\) | |||||||
\(164\) | 8.62347 | − | 1.83297i | 0.673380 | − | 0.143131i | ||||
\(165\) | −0.00323937 | − | 0.0128491i | −0.000252184 | − | 0.00100030i | ||||
\(166\) | −0.117364 | − | 0.835087i | −0.00910920 | − | 0.0648153i | ||||
\(167\) | −0.000128177 | − | 0.00734325i | −9.91862e−6 | − | 0.000568238i | 0.999843 | − | 0.0177365i | \(-0.00564601\pi\) |
−0.999853 | + | 0.0171683i | \(0.994535\pi\) | |||||||
\(168\) | −0.00370553 | − | 0.00172791i | −0.000285887 | − | 0.000133312i | ||||
\(169\) | −2.14311 | + | 30.6479i | −0.164855 | + | 2.35753i | ||||
\(170\) | 6.20707 | + | 3.41944i | 0.476061 | + | 0.262259i | ||||
\(171\) | 11.1542 | + | 6.82517i | 0.852985 | + | 0.521934i | ||||
\(172\) | −5.56741 | + | 0.881791i | −0.424511 | + | 0.0672359i | ||||
\(173\) | 0.696601 | − | 3.01731i | 0.0529616 | − | 0.229402i | −0.941115 | − | 0.338088i | \(-0.890220\pi\) |
0.994076 | + | 0.108686i | \(0.0346643\pi\) | |||||||
\(174\) | −0.0107563 | + | 0.00391498i | −0.000815434 | + | 0.000296794i | ||||
\(175\) | 9.48179 | − | 11.8351i | 0.716756 | − | 0.894650i | ||||
\(176\) | −0.763369 | + | 4.32928i | −0.0575411 | + | 0.326332i | ||||
\(177\) | −0.00133016 | − | 0.0108333i | −9.99807e−5 | − | 0.000814278i | ||||
\(178\) | −2.01137 | + | 1.62877i | −0.150758 | + | 0.122082i | ||||
\(179\) | 12.5045 | − | 5.56737i | 0.934632 | − | 0.416125i | 0.117824 | − | 0.993034i | \(-0.462408\pi\) |
0.816808 | + | 0.576909i | \(0.195741\pi\) | |||||||
\(180\) | −6.08709 | − | 2.81909i | −0.453705 | − | 0.210123i | ||||
\(181\) | −2.40657 | − | 0.600025i | −0.178879 | − | 0.0445995i | 0.151452 | − | 0.988465i | \(-0.451605\pi\) |
−0.330331 | + | 0.943865i | \(0.607160\pi\) | |||||||
\(182\) | −5.19062 | − | 19.3717i | −0.384755 | − | 1.43592i | ||||
\(183\) | 0.0111889 | − | 0.00429503i | 0.000827110 | − | 0.000317498i | ||||
\(184\) | −0.127952 | + | 3.66407i | −0.00943276 | + | 0.270119i | ||||
\(185\) | 23.7944 | − | 2.56384i | 1.74940 | − | 0.188497i | ||||
\(186\) | 0.000917587 | − | 0.00652897i | 6.72807e−5 | − | 0.000478727i | ||||
\(187\) | −13.8283 | − | 1.69790i | −1.01123 | − | 0.124163i | ||||
\(188\) | −0.897811 | + | 0.381098i | −0.0654796 | + | 0.0277944i | ||||
\(189\) | −0.00758067 | + | 0.0233309i | −0.000551413 | + | 0.00169707i | ||||
\(190\) | −9.11831 | + | 3.44331i | −0.661512 | + | 0.249804i | ||||
\(191\) | 3.72188 | + | 11.4548i | 0.269306 | + | 0.828839i | 0.990670 | + | 0.136283i | \(0.0435155\pi\) |
−0.721364 | + | 0.692556i | \(0.756484\pi\) | |||||||
\(192\) | −0.000884397 | − | 0.00101738i | −6.38259e−5 | − | 7.34233e-5i | ||||
\(193\) | 1.92331 | − | 4.12454i | 0.138443 | − | 0.296891i | −0.824847 | − | 0.565356i | \(-0.808739\pi\) |
0.963289 | + | 0.268465i | \(0.0865164\pi\) | |||||||
\(194\) | 6.40861 | − | 6.63631i | 0.460111 | − | 0.476459i | ||||
\(195\) | 0.00520904 | + | 0.0192389i | 0.000373027 | + | 0.00137773i | ||||
\(196\) | 1.22965 | + | 1.82303i | 0.0878320 | + | 0.130216i | ||||
\(197\) | −6.64830 | − | 8.20996i | −0.473672 | − | 0.584936i | 0.483177 | − | 0.875523i | \(-0.339483\pi\) |
−0.956849 | + | 0.290587i | \(0.906149\pi\) | |||||||
\(198\) | 13.1701 | + | 0.690216i | 0.935959 | + | 0.0490515i | ||||
\(199\) | 7.97636 | + | 9.50585i | 0.565429 | + | 0.673852i | 0.970686 | − | 0.240351i | \(-0.0772624\pi\) |
−0.405257 | + | 0.914203i | \(0.632818\pi\) | |||||||
\(200\) | 4.44310 | − | 2.29323i | 0.314174 | − | 0.162156i | ||||
\(201\) | −0.00489068 | + | 0.00847091i | −0.000344962 | + | 0.000597492i | ||||
\(202\) | 7.98794 | + | 5.18743i | 0.562029 | + | 0.364986i | ||||
\(203\) | 25.2807 | + | 4.91407i | 1.77436 | + | 0.344900i | ||||
\(204\) | 0.00307322 | − | 0.00296777i | 0.000215168 | − | 0.000207785i | ||||
\(205\) | 18.6562 | + | 6.36929i | 1.30300 | + | 0.444850i | ||||
\(206\) | 6.33764 | − | 9.39593i | 0.441564 | − | 0.654646i | ||||
\(207\) | 10.9571 | − | 0.958618i | 0.761568 | − | 0.0666286i | ||||
\(208\) | 1.03439 | − | 6.53091i | 0.0717223 | − | 0.452837i | ||||
\(209\) | 14.1191 | − | 12.9550i | 0.976641 | − | 0.896117i | ||||
\(210\) | −0.00513216 | − | 0.00756597i | −0.000354153 | − | 0.000522102i | ||||
\(211\) | −7.99931 | − | 12.8016i | −0.550695 | − | 0.881297i | 0.449231 | − | 0.893416i | \(-0.351698\pi\) |
−0.999927 | + | 0.0121188i | \(0.996142\pi\) | |||||||
\(212\) | −0.691359 | + | 5.63067i | −0.0474827 | + | 0.386716i | ||||
\(213\) | 0.00414056 | + | 0.00126590i | 0.000283706 | + | 8.67377e-5i | ||||
\(214\) | 9.17420 | − | 17.2542i | 0.627135 | − | 1.17947i | ||||
\(215\) | −11.6988 | − | 4.69106i | −0.797852 | − | 0.319928i | ||||
\(216\) | −0.00541211 | + | 0.00601076i | −0.000368247 | + | 0.000408980i | ||||
\(217\) | −9.33531 | + | 11.5281i | −0.633722 | + | 0.782582i | ||||
\(218\) | 19.2979 | + | 1.68834i | 1.30702 | + | 0.114349i | ||||
\(219\) | −4.25067e−6 | 0 | 1.70485e-5i | −2.87234e−7 | 0 | 1.15203e-6i | ||||
\(220\) | −6.42956 | + | 7.43556i | −0.433481 | + | 0.501306i | ||||
\(221\) | 20.8412 | + | 2.19050i | 1.40193 | + | 0.147349i | ||||
\(222\) | 0.00275295 | − | 0.0141627i | 0.000184766 | − | 0.000950540i | ||||
\(223\) | 13.3241 | − | 4.07359i | 0.892248 | − | 0.272787i | 0.187516 | − | 0.982262i | \(-0.439956\pi\) |
0.704732 | + | 0.709474i | \(0.251067\pi\) | |||||||
\(224\) | 0.526672 | + | 2.98690i | 0.0351897 | + | 0.199571i | ||||
\(225\) | −8.45284 | − | 12.3915i | −0.563522 | − | 0.826100i | ||||
\(226\) | 12.0331 | + | 10.0970i | 0.800432 | + | 0.671642i | ||||
\(227\) | −3.33041 | + | 1.69693i | −0.221047 | + | 0.112629i | −0.561008 | − | 0.827811i | \(-0.689586\pi\) |
0.339961 | + | 0.940440i | \(0.389586\pi\) | |||||||
\(228\) | 0.000362603 | 0.00586479i | 2.40140e−5 | 0.000388405i | ||||||
\(229\) | 10.1803 | − | 14.0120i | 0.672733 | − | 0.925937i | −0.327086 | − | 0.944995i | \(-0.606067\pi\) |
0.999818 | + | 0.0190575i | \(0.00606656\pi\) | |||||||
\(230\) | −4.44701 | + | 6.88717i | −0.293227 | + | 0.454127i | ||||
\(231\) | 0.0149009 | + | 0.0100508i | 0.000980407 | + | 0.000661293i | ||||
\(232\) | 6.95565 | + | 4.87040i | 0.456661 | + | 0.319757i | ||||
\(233\) | −3.14615 | + | 9.13707i | −0.206111 | + | 0.598589i | −0.999955 | − | 0.00953246i | \(-0.996966\pi\) |
0.793844 | + | 0.608122i | \(0.208077\pi\) | |||||||
\(234\) | −19.8249 | − | 0.692299i | −1.29599 | − | 0.0452570i | ||||
\(235\) | −2.16050 | − | 0.297877i | −0.140936 | − | 0.0194314i | ||||
\(236\) | −6.01697 | + | 5.41770i | −0.391671 | + | 0.352662i | ||||
\(237\) | 0.00943928 | − | 0.00217923i | 0.000613147 | − | 0.000141556i | ||||
\(238\) | −9.36587 | + | 2.16228i | −0.607099 | + | 0.140160i | ||||
\(239\) | −2.20357 | + | 1.98410i | −0.142537 | + | 0.128341i | −0.737315 | − | 0.675549i | \(-0.763907\pi\) |
0.594778 | + | 0.803890i | \(0.297240\pi\) | |||||||
\(240\) | −0.000531195 | − | 0.00296715i | −3.42885e−5 | − | 0.000191529i | ||||
\(241\) | 26.6799 | + | 0.931681i | 1.71860 | + | 0.0600149i | 0.877120 | − | 0.480272i | \(-0.159462\pi\) |
0.841481 | + | 0.540287i | \(0.181684\pi\) | |||||||
\(242\) | 2.71048 | − | 7.87180i | 0.174236 | − | 0.506019i | ||||
\(243\) | 0.0298148 | + | 0.0208766i | 0.00191262 | + | 0.00133923i | ||||
\(244\) | −7.37067 | − | 4.97158i | −0.471859 | − | 0.318273i | ||||
\(245\) | 0.270183 | + | 4.90962i | 0.0172613 | + | 0.313664i | ||||
\(246\) | 0.00698555 | − | 0.00961479i | 0.000445383 | − | 0.000613017i | ||||
\(247\) | −20.8939 | + | 19.8539i | −1.32945 | + | 1.26327i | ||||
\(248\) | −4.35781 | + | 2.22041i | −0.276721 | + | 0.140996i | ||||
\(249\) | −0.000870838 | 0 | 0.000730720i | −5.51871e−5 | 0 | 4.63075e-5i | ||||
\(250\) | 11.1589 | + | 0.692349i | 0.705750 | + | 0.0437880i | ||||
\(251\) | 2.29601 | + | 13.0213i | 0.144923 | + | 0.821898i | 0.967429 | + | 0.253142i | \(0.0814639\pi\) |
−0.822506 | + | 0.568756i | \(0.807425\pi\) | |||||||
\(252\) | 8.70136 | − | 2.66027i | 0.548134 | − | 0.167581i | ||||
\(253\) | 3.07533 | − | 15.8212i | 0.193344 | − | 0.994670i | ||||
\(254\) | 18.8784 | + | 1.98420i | 1.18453 | + | 0.124500i | ||||
\(255\) | 0.00930260 | − | 0.00217332i | 0.000582551 | − | 0.000136099i | ||||
\(256\) | −0.241922 | + | 0.970296i | −0.0151201 | + | 0.0606435i | ||||
\(257\) | −18.5223 | − | 1.62049i | −1.15539 | − | 0.101084i | −0.506691 | − | 0.862128i | \(-0.669131\pi\) |
−0.648700 | + | 0.761044i | \(0.724687\pi\) | |||||||
\(258\) | −0.00478200 | + | 0.00590528i | −0.000297714 | + | 0.000367647i | ||||
\(259\) | −21.7208 | + | 24.1234i | −1.34967 | + | 1.49896i | ||||
\(260\) | 9.47433 | − | 11.3512i | 0.587573 | − | 0.703974i | ||||
\(261\) | 11.9592 | − | 22.4921i | 0.740258 | − | 1.39222i | ||||
\(262\) | −19.3979 | − | 5.93055i | −1.19841 | − | 0.366390i | ||||
\(263\) | 1.86494 | − | 15.1887i | 0.114997 | − | 0.936578i | −0.817632 | − | 0.575742i | \(-0.804713\pi\) |
0.932629 | − | 0.360837i | \(-0.117509\pi\) | |||||||
\(264\) | 0.00314035 | + | 0.00502561i | 0.000193275 | + | 0.000309305i | ||||
\(265\) | −7.78355 | + | 10.0164i | −0.478140 | + | 0.615302i | ||||
\(266\) | 6.09676 | − | 11.7307i | 0.373816 | − | 0.719257i | ||||
\(267\) | −0.000545791 | 0.00344599i | −3.34018e−5 | 0.000210891i | ||||||
\(268\) | 7.22835 | − | 0.632399i | 0.441542 | − | 0.0386299i | ||||
\(269\) | −2.42830 | + | 3.60010i | −0.148056 | + | 0.219502i | −0.895769 | − | 0.444520i | \(-0.853374\pi\) |
0.747713 | + | 0.664022i | \(0.231152\pi\) | |||||||
\(270\) | −0.0172818 | + | 0.00533304i | −0.00105173 | + | 0.000324558i | ||||
\(271\) | 12.7422 | − | 12.3050i | 0.774033 | − | 0.747475i | −0.198535 | − | 0.980094i | \(-0.563618\pi\) |
0.972568 | + | 0.232619i | \(0.0747294\pi\) | |||||||
\(272\) | −3.11101 | − | 0.604719i | −0.188633 | − | 0.0366665i | ||||
\(273\) | −0.0226735 | − | 0.0147244i | −0.00137226 | − | 0.000891159i | ||||
\(274\) | −9.39919 | + | 16.2799i | −0.567826 | + | 0.983504i | ||||
\(275\) | −20.8687 | + | 6.90157i | −1.25843 | + | 0.416180i | ||||
\(276\) | 0.00317688 | + | 0.00378606i | 0.000191226 | + | 0.000227894i | ||||
\(277\) | −0.905416 | − | 0.0474509i | −0.0544012 | − | 0.00285105i | 0.0251159 | − | 0.999685i | \(-0.492005\pi\) |
−0.0795171 | + | 0.996833i | \(0.525338\pi\) | |||||||
\(278\) | −0.713616 | − | 0.881242i | −0.0427998 | − | 0.0528534i | ||||
\(279\) | 8.20484 | + | 12.1642i | 0.491211 | + | 0.728250i | ||||
\(280\) | −2.41386 | + | 6.33783i | −0.144256 | + | 0.378758i | ||||
\(281\) | −4.38297 | + | 4.53870i | −0.261466 | + | 0.270756i | −0.837219 | − | 0.546868i | \(-0.815820\pi\) |
0.575753 | + | 0.817624i | \(0.304709\pi\) | |||||||
\(282\) | −0.000555663 | 0.00119162i | −3.30893e−5 | 7.09602e-5i | ||||||
\(283\) | −7.36353 | − | 8.47078i | −0.437717 | − | 0.503535i | 0.492619 | − | 0.870245i | \(-0.336040\pi\) |
−0.930335 | + | 0.366710i | \(0.880484\pi\) | |||||||
\(284\) | −0.992523 | − | 3.05467i | −0.0588954 | − | 0.181261i | ||||
\(285\) | −0.00602873 | + | 0.0116744i | −0.000357111 | + | 0.000691530i | ||||
\(286\) | −8.98256 | + | 27.6455i | −0.531150 | + | 1.63471i | ||||
\(287\) | −24.6135 | + | 10.4478i | −1.45289 | + | 0.616715i | ||||
\(288\) | 2.97764 | + | 0.365608i | 0.175459 | + | 0.0215436i | ||||
\(289\) | −0.968080 | + | 6.88825i | −0.0569459 | + | 0.405191i | ||||
\(290\) | 7.76809 | + | 17.3253i | 0.456158 | + | 1.01738i | ||||
\(291\) | 0.000434027 | − | 0.0124289i | 2.54431e−5 | − | 0.000728595i | ||||
\(292\) | 0.0121683 | − | 0.00467097i | 0.000712096 | − | 0.000273348i | ||||
\(293\) | 7.49737 | + | 27.9806i | 0.438001 | + | 1.63464i | 0.733781 | + | 0.679386i | \(0.237754\pi\) |
−0.295781 | + | 0.955256i | \(0.595580\pi\) | |||||||
\(294\) | 0.00287626 | 0.000717132i | 0.000167747 | 4.18240e-5i | ||||||
\(295\) | −17.7629 | + | 3.50100i | −1.03419 | + | 0.203836i | ||||
\(296\) | −9.77745 | + | 4.35320i | −0.568303 | + | 0.253025i | ||||
\(297\) | 0.0276326 | − | 0.0223765i | 0.00160341 | − | 0.00129841i | ||||
\(298\) | −0.215413 | − | 1.75440i | −0.0124786 | − | 0.101630i | ||||
\(299\) | −4.20971 | + | 23.8745i | −0.243454 | + | 1.38070i | ||||
\(300\) | 0.00238253 | − | 0.00630509i | 0.000137555 | − | 0.000364025i | ||||
\(301\) | 16.0653 | − | 5.84729i | 0.925988 | − | 0.337032i | ||||
\(302\) | 2.62113 | − | 11.3534i | 0.150829 | − | 0.653313i | ||||
\(303\) | 0.0126814 | − | 0.00200854i | 0.000728528 | − | 0.000115388i | ||||
\(304\) | 3.40951 | − | 2.71574i | 0.195549 | − | 0.155758i | ||||
\(305\) | −8.44878 | − | 17.9954i | −0.483776 | − | 1.03041i | ||||
\(306\) | −0.663224 | + | 9.48454i | −0.0379140 | + | 0.542195i | ||||
\(307\) | 9.51691 | + | 4.43781i | 0.543159 | + | 0.253279i | 0.674777 | − | 0.738021i | \(-0.264240\pi\) |
−0.131619 | + | 0.991300i | \(0.542017\pi\) | |||||||
\(308\) | −0.232696 | − | 13.3311i | −0.0132591 | − | 0.759613i | ||||
\(309\) | −0.00212630 | − | 0.0151294i | −0.000120961 | − | 0.000860684i | ||||
\(310\) | −10.9117 | − | 0.734339i | −0.619741 | − | 0.0417076i | ||||
\(311\) | −3.38835 | + | 0.720217i | −0.192136 | + | 0.0408397i | −0.302974 | − | 0.952999i | \(-0.597980\pi\) |
0.110839 | + | 0.993838i | \(0.464646\pi\) | |||||||
\(312\) | −0.00485475 | − | 0.00747566i | −0.000274846 | − | 0.000423226i | ||||
\(313\) | 0.789457 | + | 3.41951i | 0.0446228 | + | 0.193282i | 0.991877 | − | 0.127201i | \(-0.0405992\pi\) |
−0.947254 | + | 0.320483i | \(0.896155\pi\) | |||||||
\(314\) | −3.01764 | − | 7.46891i | −0.170295 | − | 0.421495i | ||||
\(315\) | 19.7543 | + | 4.87044i | 1.11303 | + | 0.274418i | ||||
\(316\) | −5.34052 | − | 4.80863i | −0.300428 | − | 0.270507i | ||||
\(317\) | −1.92901 | − | 1.06927i | −0.108344 | − | 0.0600562i | 0.429707 | − | 0.902969i | \(-0.358617\pi\) |
−0.538051 | + | 0.842912i | \(0.680839\pi\) | |||||||
\(318\) | 0.00438637 | + | 0.00626438i | 0.000245975 | + | 0.000351289i | ||||
\(319\) | −26.8517 | − | 25.9304i | −1.50340 | − | 1.45182i | ||||
\(320\) | −1.57700 | + | 1.58527i | −0.0881568 | + | 0.0886193i | ||||
\(321\) | −0.00637292 | − | 0.0255604i | −0.000355702 | − | 0.00142664i | ||||
\(322\) | −1.73953 | − | 10.9829i | −0.0969400 | − | 0.612055i | ||||
\(323\) | 9.16053 | + | 10.3403i | 0.509706 | + | 0.575349i | ||||
\(324\) | − | 8.99998i | − | 0.499999i | ||||||
\(325\) | 31.2036 | − | 10.9272i | 1.73086 | − | 0.606132i | ||||
\(326\) | −6.71688 | − | 18.4545i | −0.372014 | − | 1.02210i | ||||
\(327\) | 0.0208554 | − | 0.0157157i | 0.00115330 | − | 0.000869077i | ||||
\(328\) | −8.81478 | − | 0.153863i | −0.486715 | − | 0.00849564i | ||||
\(329\) | 2.45246 | − | 1.65421i | 0.135209 | − | 0.0911994i | ||||
\(330\) | 0.000265923 | 0.0132485i | 1.46386e−5 | 0.000729305i | ||||||
\(331\) | −7.52702 | + | 0.791121i | −0.413722 | + | 0.0434840i | −0.309103 | − | 0.951028i | \(-0.600029\pi\) |
−0.104619 | + | 0.994512i | \(0.533362\pi\) | |||||||
\(332\) | −0.0734979 | + | 0.840085i | −0.00403372 | + | 0.0461056i | ||||
\(333\) | 16.5370 | + | 27.5221i | 0.906220 | + | 1.50820i | ||||
\(334\) | −0.00152698 | + | 0.00718387i | −8.35526e−5 | + | 0.000393084i | ||||
\(335\) | 14.6013 | + | 7.07433i | 0.797756 | + | 0.386512i | ||||
\(336\) | 0.00322186 | + | 0.00251719i | 0.000175767 | + | 0.000137324i | ||||
\(337\) | 5.02879 | + | 3.78947i | 0.273936 | + | 0.206425i | 0.729866 | − | 0.683590i | \(-0.239582\pi\) |
−0.455931 | + | 0.890015i | \(0.650693\pi\) | |||||||
\(338\) | 8.98246 | − | 29.3803i | 0.488581 | − | 1.59808i | ||||
\(339\) | 0.0211624 | 0.000739006i | 0.00114938 | 4.01373e-5i | ||||||
\(340\) | −5.27878 | − | 4.72809i | −0.286282 | − | 0.256416i | ||||
\(341\) | 20.4483 | − | 6.64406i | 1.10734 | − | 0.359796i | ||||
\(342\) | −9.33302 | − | 9.15940i | −0.504672 | − | 0.495283i | ||||
\(343\) | 10.2965 | + | 10.2965i | 0.555958 | + | 0.555958i | ||||
\(344\) | 5.62308 | + | 0.393204i | 0.303176 | + | 0.0212001i | ||||
\(345\) | 0.00175737 | + | 0.0109108i | 9.46137e−5 | + | 0.000587418i | ||||
\(346\) | −1.35749 | + | 2.78327i | −0.0729793 | + | 0.149630i | ||||
\(347\) | 0.265296 | − | 15.1988i | 0.0142418 | − | 0.815914i | −0.905713 | − | 0.423891i | \(-0.860664\pi\) |
0.919955 | − | 0.392024i | \(-0.128225\pi\) | |||||||
\(348\) | 0.0113613 | − | 0.00139499i | 0.000609030 | − | 7.47795e-5i | ||||
\(349\) | 3.66293 | − | 2.11479i | 0.196072 | − | 0.113202i | −0.398750 | − | 0.917060i | \(-0.630556\pi\) |
0.594822 | + | 0.803857i | \(0.297223\pi\) | |||||||
\(350\) | −11.9011 | + | 9.39884i | −0.636140 | + | 0.502389i | ||||
\(351\) | −0.0409697 | + | 0.0343777i | −0.00218680 | + | 0.00183495i | ||||
\(352\) | 1.71768 | − | 4.04660i | 0.0915526 | − | 0.215684i | ||||
\(353\) | −22.9587 | − | 8.81303i | −1.22197 | − | 0.469070i | −0.340022 | − | 0.940418i | \(-0.610434\pi\) |
−0.881948 | + | 0.471347i | \(0.843768\pi\) | |||||||
\(354\) | −0.00114089 | + | 0.0108548i | −6.06375e−5 | + | 0.000576928i | ||||
\(355\) | 1.59728 | − | 7.00209i | 0.0847747 | − | 0.371632i | ||||
\(356\) | 2.32621 | − | 1.13457i | 0.123289 | − | 0.0601321i | ||||
\(357\) | −0.00743224 | + | 0.0106143i | −0.000393356 | + | 0.000561771i | ||||
\(358\) | −13.4364 | + | 2.61178i | −0.710137 | + | 0.138037i | ||||
\(359\) | −9.97152 | − | 4.02876i | −0.526277 | − | 0.212630i | 0.0960652 | − | 0.995375i | \(-0.469374\pi\) |
−0.622342 | + | 0.782745i | \(0.713819\pi\) | |||||||
\(360\) | 5.29692 | + | 4.11614i | 0.279172 | + | 0.216940i | ||||
\(361\) | −18.9967 | + | 0.356748i | −0.999824 | + | 0.0187762i | ||||
\(362\) | 2.20991 | + | 1.12601i | 0.116150 | + | 0.0591816i | ||||
\(363\) | −0.00438517 | − | 0.0103308i | −0.000230162 | − | 0.000542227i | ||||
\(364\) | 0.699910 | + | 20.0428i | 0.0366853 | + | 1.05053i | ||||
\(365\) | 0.0287153 | + | 0.00498586i | 0.00150303 | + | 0.000260972i | ||||
\(366\) | −0.0118683 | + | 0.00166799i | −0.000620368 | + | 8.71870e-5i | ||||
\(367\) | −4.08178 | + | 7.36373i | −0.213067 | + | 0.384384i | −0.959776 | − | 0.280768i | \(-0.909411\pi\) |
0.746708 | + | 0.665152i | \(0.231633\pi\) | |||||||
\(368\) | 0.948910 | − | 3.54138i | 0.0494653 | − | 0.184607i | ||||
\(369\) | 2.76461 | + | 26.3035i | 0.143920 | + | 1.36930i | ||||
\(370\) | −23.7613 | − | 2.85444i | −1.23529 | − | 0.148395i | ||||
\(371\) | −1.20023 | − | 17.1640i | −0.0623127 | − | 0.891112i | ||||
\(372\) | −0.00236277 | + | 0.00615522i | −0.000122504 | + | 0.000319133i | ||||
\(373\) | 9.32510 | − | 14.3594i | 0.482835 | − | 0.743501i | −0.510360 | − | 0.859961i | \(-0.670488\pi\) |
0.993195 | + | 0.116460i | \(0.0371546\pi\) | |||||||
\(374\) | 13.0920 | + | 4.76508i | 0.676969 | + | 0.246396i | ||||
\(375\) | 0.0118034 | − | 0.00937193i | 0.000609525 | − | 0.000483964i | ||||
\(376\) | 0.960529 | − | 0.169367i | 0.0495355 | − | 0.00873444i | ||||
\(377\) | 41.0633 | + | 38.2922i | 2.11487 | + | 1.97215i | ||||
\(378\) | 0.0126347 | − | 0.0210277i | 0.000649858 | − | 0.00108155i | ||||
\(379\) | −23.4550 | − | 17.0411i | −1.20480 | − | 0.875340i | −0.210054 | − | 0.977690i | \(-0.567364\pi\) |
−0.994748 | + | 0.102350i | \(0.967364\pi\) | |||||||
\(380\) | 9.65919 | − | 1.30388i | 0.495506 | − | 0.0668877i | ||||
\(381\) | 0.0207020 | − | 0.0150409i | 0.00106060 | − | 0.000770568i | ||||
\(382\) | −1.04973 | − | 11.9984i | −0.0537087 | − | 0.613893i | ||||
\(383\) | 5.99621 | + | 30.8478i | 0.306392 | + | 1.57625i | 0.738388 | + | 0.674376i | \(0.235587\pi\) |
−0.431996 | + | 0.901876i | \(0.642191\pi\) | |||||||
\(384\) | 0.000632869 | 0.00119025i | 3.22960e−5 | 6.07399e-5i | ||||||
\(385\) | 14.8393 | − | 25.8585i | 0.756283 | − | 1.31787i | ||||
\(386\) | −2.80183 | + | 3.58618i | −0.142610 | + | 0.182532i | ||||
\(387\) | −0.885023 | − | 16.8872i | −0.0449882 | − | 0.858427i | ||||
\(388\) | −7.73720 | + | 5.02460i | −0.392797 | + | 0.255085i | ||||
\(389\) | −20.4482 | + | 8.26162i | −1.03677 | + | 0.418881i | −0.828971 | − | 0.559291i | \(-0.811073\pi\) |
−0.207795 | + | 0.978172i | \(0.566629\pi\) | |||||||
\(390\) | −0.000747711 | − | 0.0199176i | −3.78618e−5 | − | 0.00100857i | ||||
\(391\) | 11.3655 | + | 2.41581i | 0.574777 | + | 0.122173i | ||||
\(392\) | −0.788040 | − | 2.05291i | −0.0398020 | − | 0.103688i | ||||
\(393\) | −0.0247822 | + | 0.0115561i | −0.00125010 | + | 0.000582929i | ||||
\(394\) | 4.63106 | + | 9.49509i | 0.233310 | + | 0.478355i | ||||
\(395\) | −4.73838 | − | 15.3548i | −0.238414 | − | 0.772581i | ||||
\(396\) | −12.6773 | − | 3.63516i | −0.637058 | − | 0.182673i | ||||
\(397\) | −10.5004 | − | 6.30927i | −0.527000 | − | 0.316653i | 0.226599 | − | 0.973988i | \(-0.427239\pi\) |
−0.753599 | + | 0.657335i | \(0.771684\pi\) | |||||||
\(398\) | −5.63357 | − | 11.0565i | −0.282385 | − | 0.554213i | ||||
\(399\) | −0.00447364 | − | 0.0172511i | −0.000223962 | − | 0.000863638i | ||||
\(400\) | −4.84508 | + | 1.23498i | −0.242254 | + | 0.0617488i | ||||
\(401\) | 2.41611 | − | 2.87941i | 0.120655 | − | 0.143791i | −0.702336 | − | 0.711846i | \(-0.747859\pi\) |
0.822991 | + | 0.568055i | \(0.192304\pi\) | |||||||
\(402\) | 0.00667088 | − | 0.00715364i | 0.000332713 | − | 0.000356791i | ||||
\(403\) | −30.5781 | + | 10.5289i | −1.52321 | + | 0.524482i | ||||
\(404\) | −6.61629 | − | 6.85137i | −0.329173 | − | 0.340868i | ||||
\(405\) | 10.3198 | − | 17.2772i | 0.512793 | − | 0.858510i | ||||
\(406\) | −23.5273 | − | 10.4750i | −1.16764 | − | 0.519868i | ||||
\(407\) | 45.4468 | − | 12.1774i | 2.25271 | − | 0.603613i | ||||
\(408\) | −0.00366205 | + | 0.00220038i | −0.000181299 | + | 0.000108935i | ||||
\(409\) | −14.8746 | − | 9.29470i | −0.735503 | − | 0.459593i | 0.109750 | − | 0.993959i | \(-0.464995\pi\) |
−0.845253 | + | 0.534366i | \(0.820550\pi\) | |||||||
\(410\) | −16.7452 | − | 10.4028i | −0.826988 | − | 0.513756i | ||||
\(411\) | 0.00526871 | + | 0.0247873i | 0.000259886 | + | 0.00122267i | ||||
\(412\) | −8.28883 | + | 7.72946i | −0.408361 | + | 0.380803i | ||||
\(413\) | 14.7787 | − | 19.6120i | 0.727213 | − | 0.965044i | ||||
\(414\) | −10.8919 | − | 1.53075i | −0.535306 | − | 0.0752324i | ||||
\(415\) | −1.10437 | + | 1.52843i | −0.0542114 | + | 0.0750275i | ||||
\(416\) | −2.47702 | + | 6.13083i | −0.121446 | + | 0.300589i | ||||
\(417\) | −0.00150979 | 0.000239128i | −7.39348e−5 | 1.17101e-5i | ||||||
\(418\) | −16.6715 | + | 9.44686i | −0.815430 | + | 0.462061i | ||||
\(419\) | −12.3300 | − | 16.9707i | −0.602358 | − | 0.829075i | 0.393563 | − | 0.919298i | \(-0.371242\pi\) |
−0.995922 | + | 0.0902223i | \(0.971242\pi\) | |||||||
\(420\) | 0.00329865 | + | 0.00852654i | 0.000160958 | + | 0.000416053i | ||||
\(421\) | −4.27131 | + | 14.8958i | −0.208171 | + | 0.725978i | 0.786006 | + | 0.618219i | \(0.212145\pi\) |
−0.994177 | + | 0.107759i | \(0.965632\pi\) | |||||||
\(422\) | 4.91456 | + | 14.2729i | 0.239237 | + | 0.694795i | ||||
\(423\) | −0.855491 | − | 2.79818i | −0.0415954 | − | 0.136052i | ||||
\(424\) | 1.94026 | − | 5.33083i | 0.0942275 | − | 0.258888i | ||||
\(425\) | −4.71219 | − | 15.1293i | −0.228575 | − | 0.733880i | ||||
\(426\) | −0.00374967 | − | 0.00216487i | −0.000181672 | − | 0.000104888i | ||||
\(427\) | 24.8215 | + | 10.5361i | 1.20120 | + | 0.509878i | ||||
\(428\) | −12.8204 | + | 14.7482i | −0.619697 | + | 0.712880i | ||||
\(429\) | 0.0159381 | + | 0.0357975i | 0.000769497 | + | 0.00172832i | ||||
\(430\) | 10.3437 | + | 7.20249i | 0.498818 | + | 0.347335i | ||||
\(431\) | −1.85578 | − | 6.47189i | −0.0893900 | − | 0.311740i | 0.903845 | − | 0.427860i | \(-0.140732\pi\) |
−0.993235 | + | 0.116120i | \(0.962954\pi\) | |||||||
\(432\) | 0.00662552 | − | 0.00463924i | 0.000318771 | − | 0.000223206i | ||||
\(433\) | 14.0532 | − | 0.245299i | 0.675353 | − | 0.0117883i | 0.321250 | − | 0.946995i | \(-0.395897\pi\) |
0.354103 | + | 0.935206i | \(0.384786\pi\) | |||||||
\(434\) | 11.6893 | − | 9.13269i | 0.561105 | − | 0.438383i | ||||
\(435\) | 0.0234098 | + | 0.0103494i | 0.00112241 | + | 0.000496216i | ||||
\(436\) | −18.4235 | − | 5.98615i | −0.882324 | − | 0.286684i | ||||
\(437\) | −12.6722 | + | 9.73704i | −0.606193 | + | 0.465786i | ||||
\(438\) | 7.97681e−6 | 0 | 1.56554e-5i | 3.81147e−7 | 0 | 7.48043e-7i | ||||
\(439\) | 11.2868 | − | 7.05276i | 0.538688 | − | 0.336610i | −0.233138 | − | 0.972444i | \(-0.574899\pi\) |
0.771826 | + | 0.635834i | \(0.219344\pi\) | |||||||
\(440\) | 7.93741 | − | 5.79865i | 0.378401 | − | 0.276440i | ||||
\(441\) | −5.82472 | + | 3.09706i | −0.277368 | + | 0.147479i | ||||
\(442\) | −19.8143 | − | 6.82260i | −0.942469 | − | 0.324518i | ||||
\(443\) | −6.22557 | − | 13.3508i | −0.295786 | − | 0.634315i | 0.701110 | − | 0.713054i | \(-0.252688\pi\) |
−0.996895 | + | 0.0787390i | \(0.974911\pi\) | |||||||
\(444\) | −0.00586831 | + | 0.0131805i | −0.000278498 | + | 0.000625516i | ||||
\(445\) | 5.76655 | + | 0.489311i | 0.273361 | + | 0.0231956i | ||||
\(446\) | −13.8990 | + | 0.971910i | −0.658135 | + | 0.0460213i | ||||
\(447\) | −0.00179830 | − | 0.00156324i | −8.50568e−5 | − | 7.39387e-5i | ||||
\(448\) | 0.158734 | − | 3.02882i | 0.00749947 | − | 0.143098i | ||||
\(449\) | 1.98149 | + | 3.43204i | 0.0935123 | + | 0.161968i | 0.908987 | − | 0.416825i | \(-0.136857\pi\) |
−0.815474 | + | 0.578793i | \(0.803524\pi\) | |||||||
\(450\) | 5.44871 | + | 13.9754i | 0.256855 | + | 0.658806i | ||||
\(451\) | 38.1674 | + | 6.72995i | 1.79723 | + | 0.316901i | ||||
\(452\) | −9.45339 | − | 12.5451i | −0.444650 | − | 0.590071i | ||||
\(453\) | −0.00761512 | − | 0.0137380i | −0.000357789 | − | 0.000645469i | ||||
\(454\) | 3.62678 | − | 0.904257i | 0.170213 | − | 0.0424389i | ||||
\(455\) | −21.6383 | + | 39.2785i | −1.01442 | + | 1.84141i | ||||
\(456\) | 0.000965982 | − | 0.00579605i | 4.52362e−5 | − | 0.000271425i | ||||
\(457\) | 1.32909 | − | 1.32909i | 0.0621720 | − | 0.0621720i | −0.675337 | − | 0.737509i | \(-0.736002\pi\) |
0.737509 | + | 0.675337i | \(0.236002\pi\) | |||||||
\(458\) | −13.0714 | + | 11.3628i | −0.610786 | + | 0.530948i | ||||
\(459\) | 0.0157816 | + | 0.0201996i | 0.000736624 | + | 0.000942836i | ||||
\(460\) | 5.88231 | − | 5.71029i | 0.274264 | − | 0.266244i | ||||
\(461\) | −18.0697 | − | 9.60785i | −0.841592 | − | 0.447482i | −0.00806900 | − | 0.999967i | \(-0.502568\pi\) |
−0.833523 | + | 0.552485i | \(0.813680\pi\) | |||||||
\(462\) | −0.0122581 | − | 0.0131452i | −0.000570296 | − | 0.000611568i | ||||
\(463\) | 14.8975 | − | 0.780746i | 0.692346 | − | 0.0362843i | 0.297082 | − | 0.954852i | \(-0.403986\pi\) |
0.395264 | + | 0.918568i | \(0.370653\pi\) | |||||||
\(464\) | −5.68178 | − | 6.31025i | −0.263770 | − | 0.292946i | ||||
\(465\) | −0.0115936 | + | 0.00910687i | −0.000537641 | + | 0.000422321i | ||||
\(466\) | 5.12090 | − | 8.19516i | 0.237221 | − | 0.379633i | ||||
\(467\) | −10.6124 | − | 8.59375i | −0.491083 | − | 0.397671i | 0.351542 | − | 0.936172i | \(-0.385657\pi\) |
−0.842625 | + | 0.538501i | \(0.818991\pi\) | |||||||
\(468\) | 19.1610 | + | 5.13418i | 0.885718 | + | 0.237327i | ||||
\(469\) | −21.1547 | + | 6.06601i | −0.976832 | + | 0.280102i | ||||
\(470\) | 2.03812 | + | 0.776250i | 0.0940115 | + | 0.0358058i | ||||
\(471\) | −0.00976014 | − | 0.00476034i | −0.000449723 | − | 0.000219345i | ||||
\(472\) | 7.08147 | − | 3.92532i | 0.325951 | − | 0.180678i | ||||
\(473\) | −24.1447 | − | 5.57424i | −1.11017 | − | 0.256304i | ||||
\(474\) | −0.00968757 | −0.000444965 | ||||||||
\(475\) | 20.0377 | + | 8.57258i | 0.919394 | + | 0.393337i | ||||
\(476\) | 9.61223 | 0.440576 | ||||||||
\(477\) | −16.5827 | − | 3.82841i | −0.759268 | − | 0.175291i | ||||
\(478\) | 2.59341 | − | 1.43755i | 0.118620 | − | 0.0657521i | ||||
\(479\) | −26.8264 | − | 13.0841i | −1.22573 | − | 0.597829i | −0.292211 | − | 0.956354i | \(-0.594391\pi\) |
−0.933520 | + | 0.358525i | \(0.883280\pi\) | |||||||
\(480\) | −0.000149882 | 0.00301059i | −6.84116e−6 | 0.000137414i | ||||||
\(481\) | −68.0285 | + | 19.5069i | −3.10183 | + | 0.889436i | ||||
\(482\) | −25.7865 | − | 6.90946i | −1.17454 | − | 0.314717i | ||||
\(483\) | −0.0116494 | − | 0.00943354i | −0.000530068 | − | 0.000429241i | ||||
\(484\) | −4.41178 | + | 7.06032i | −0.200535 | + | 0.320924i | ||||
\(485\) | −20.6145 | + | 0.773871i | −0.936054 | + | 0.0351397i | ||||
\(486\) | −0.0243545 | − | 0.0270484i | −0.00110474 | − | 0.00122694i | ||||
\(487\) | 9.88690 | − | 0.518150i | 0.448018 | − | 0.0234796i | 0.173007 | − | 0.984921i | \(-0.444652\pi\) |
0.275011 | + | 0.961441i | \(0.411318\pi\) | |||||||
\(488\) | 6.06340 | + | 6.50220i | 0.274477 | + | 0.294341i | ||||
\(489\) | −0.0233752 | − | 0.0124288i | −0.00105706 | − | 0.000562051i | ||||
\(490\) | 0.841166 | − | 4.84456i | 0.0380000 | − | 0.218855i | ||||
\(491\) | 22.0782 | + | 28.2588i | 0.996373 | + | 1.27530i | 0.961181 | + | 0.275919i | \(0.0889822\pi\) |
0.0351924 | + | 0.999381i | \(0.488796\pi\) | |||||||
\(492\) | −0.00896937 | + | 0.00779695i | −0.000404370 | + | 0.000351514i | ||||
\(493\) | 19.0289 | − | 19.0289i | 0.857017 | − | 0.857017i | ||||
\(494\) | 24.8245 | − | 14.6449i | 1.11691 | − | 0.658906i | ||||
\(495\) | −20.1683 | − | 21.5147i | −0.906496 | − | 0.967014i | ||||
\(496\) | 4.74560 | − | 1.18321i | 0.213084 | − | 0.0531278i | ||||
\(497\) | 4.72279 | + | 8.52014i | 0.211846 | + | 0.382181i | ||||
\(498\) | 0.000684142 | 0 | 0.000907887i | 3.06571e−5 | 0 | 4.06834e-5i | ||||
\(499\) | 6.41372 | + | 1.13091i | 0.287117 | + | 0.0506266i | 0.315352 | − | 0.948975i | \(-0.397877\pi\) |
−0.0282345 | + | 0.999601i | \(0.508989\pi\) | |||||||
\(500\) | −10.7171 | − | 3.18481i | −0.479285 | − | 0.142429i | ||||
\(501\) | 4.95027e−6 | 0 | 8.57412e-6i | 2.21162e−7 | 0 | 3.83063e-7i | ||||
\(502\) | 0.691996 | − | 13.2041i | 0.0308853 | − | 0.589326i | ||||
\(503\) | 15.1149 | + | 13.1391i | 0.673938 | + | 0.585845i | 0.924004 | − | 0.382384i | \(-0.124897\pi\) |
−0.250066 | + | 0.968229i | \(0.580452\pi\) | |||||||
\(504\) | −9.07677 | + | 0.634710i | −0.404312 | + | 0.0282722i | ||||
\(505\) | −4.84516 | − | 20.7390i | −0.215607 | − | 0.922874i | ||||
\(506\) | −6.55550 | + | 14.7239i | −0.291428 | + | 0.654557i | ||||
\(507\) | −0.0175030 | − | 0.0375353i | −0.000777336 | − | 0.00166700i | ||||
\(508\) | −17.9482 | − | 6.18005i | −0.796322 | − | 0.274195i | ||||
\(509\) | 19.0655 | − | 10.1373i | 0.845063 | − | 0.449328i | 0.0103064 | − | 0.999947i | \(-0.496719\pi\) |
0.834757 | + | 0.550619i | \(0.185608\pi\) | |||||||
\(510\) | −0.00955306 | 2.49907e-5i | −0.000423017 | 1.10661e-6i | ||||||
\(511\) | −0.0335250 | + | 0.0209487i | −0.00148306 | + | 0.000926717i | ||||
\(512\) | 0.453990 | − | 0.891007i | 0.0200637 | − | 0.0393773i | ||||
\(513\) | −0.0352234 | − | 0.00151452i | −0.00155515 | − | 6.68679e-5i | ||||
\(514\) | 17.6831 | + | 5.74558i | 0.779966 | + | 0.253426i | ||||
\(515\) | −24.7749 | + | 5.33385i | −1.09171 | + | 0.235037i | ||||
\(516\) | 0.00598784 | − | 0.00467821i | 0.000263600 | − | 0.000205947i | ||||
\(517\) | −4.28703 | + | 0.0748304i | −0.188543 | + | 0.00329104i | ||||
\(518\) | 26.5907 | − | 18.6190i | 1.16833 | − | 0.818072i | ||||
\(519\) | 0.00115064 | + | 0.00401275i | 5.05074e−5 | + | 0.000176140i | ||||
\(520\) | −11.7850 | + | 8.92905i | −0.516806 | + | 0.391565i | ||||
\(521\) | 2.16210 | + | 4.85616i | 0.0947234 | + | 0.212752i | 0.954693 | − | 0.297594i | \(-0.0961840\pi\) |
−0.859969 | + | 0.510346i | \(0.829517\pi\) | |||||||
\(522\) | −16.7123 | + | 19.2253i | −0.731479 | + | 0.841470i | ||||
\(523\) | −19.7994 | − | 8.40434i | −0.865767 | − | 0.367496i | −0.0880537 | − | 0.996116i | \(-0.528065\pi\) |
−0.777713 | + | 0.628620i | \(0.783620\pi\) | |||||||
\(524\) | 17.5667 | + | 10.1421i | 0.767404 | + | 0.443061i | ||||
\(525\) | −0.00344450 | + | 0.0201507i | −0.000150331 | + | 0.000879448i | ||||
\(526\) | −5.23387 | + | 14.3799i | −0.228208 | + | 0.626995i | ||||
\(527\) | 4.53187 | + | 14.8231i | 0.197411 | + | 0.645703i | ||||
\(528\) | −0.00192935 | − | 0.00560323i | −8.39641e−5 | − | 0.000243849i | ||||
\(529\) | 2.63460 | − | 9.18793i | 0.114548 | − | 0.399475i | ||||
\(530\) | 9.83726 | − | 8.00876i | 0.427303 | − | 0.347878i | ||||
\(531\) | −14.2772 | − | 19.6509i | −0.619579 | − | 0.852777i | ||||
\(532\) | −8.57934 | + | 10.0586i | −0.371962 | + | 0.436095i | ||||
\(533\) | −57.5773 | − | 9.11935i | −2.49395 | − | 0.395003i | ||||
\(534\) | 0.00130698 | − | 0.00323489i | 5.65586e−5 | − | 0.000139987i | ||||
\(535\) | −41.5221 | + | 13.6115i | −1.79516 | + | 0.588478i | ||||
\(536\) | −7.18535 | − | 1.00984i | −0.310360 | − | 0.0436182i | ||||
\(537\) | −0.0111046 | + | 0.0147364i | −0.000479201 | + | 0.000635921i | ||||
\(538\) | 3.17591 | − | 2.96158i | 0.136923 | − | 0.127683i | ||||
\(539\) | 2.00984 | + | 9.45557i | 0.0865701 | + | 0.407280i | ||||
\(540\) | 0.0180385 | − | 0.00130880i | 0.000776253 | − | 5.63219e-5i | ||||
\(541\) | −25.0670 | − | 15.6636i | −1.07772 | − | 0.673432i | −0.129667 | − | 0.991558i | \(-0.541391\pi\) |
−0.948048 | + | 0.318126i | \(0.896947\pi\) | |||||||
\(542\) | −15.1836 | + | 9.12325i | −0.652193 | + | 0.391877i | ||||
\(543\) | 0.00322955 | 0.000865356i | 0.000138593 | 3.71360e-5i | ||||||
\(544\) | 2.89524 | + | 1.28904i | 0.124132 | + | 0.0552673i | ||||
\(545\) | −28.5034 | − | 32.6167i | −1.22095 | − | 1.39714i | ||||
\(546\) | 0.0187801 | + | 0.0194474i | 0.000803716 | + | 0.000832272i | ||||
\(547\) | 11.4648 | − | 3.94766i | 0.490201 | − | 0.168790i | −0.0693386 | − | 0.997593i | \(-0.522089\pi\) |
0.559540 | + | 0.828803i | \(0.310978\pi\) | |||||||
\(548\) | 12.8205 | − | 13.7483i | 0.547663 | − | 0.587297i | ||||
\(549\) | 17.1444 | − | 20.4318i | 0.731703 | − | 0.872010i | ||||
\(550\) | 21.8864 | − | 2.03025i | 0.933237 | − | 0.0865700i | ||||
\(551\) | 2.92840 | + | 36.8966i | 0.124754 | + | 1.57185i | ||||
\(552\) | −0.00224378 | − | 0.00440366i | −9.55016e−5 | − | 0.000187432i | ||||
\(553\) | 18.6830 | + | 11.2259i | 0.794480 | + | 0.477372i | ||||
\(554\) | 0.871536 | + | 0.249909i | 0.0370280 | + | 0.0106176i | ||||
\(555\) | −0.0263786 | + | 0.0185735i | −0.00111971 | + | 0.000788402i | ||||
\(556\) | 0.497090 | + | 1.01918i | 0.0210813 | + | 0.0432231i | ||||
\(557\) | −16.4876 | + | 7.68831i | −0.698604 | + | 0.325764i | −0.739271 | − | 0.673409i | \(-0.764830\pi\) |
0.0406669 | + | 0.999173i | \(0.487052\pi\) | |||||||
\(558\) | −5.25820 | − | 13.6981i | −0.222598 | − | 0.579886i | ||||
\(559\) | 36.4579 | + | 7.74936i | 1.54200 | + | 0.327763i | ||||
\(560\) | 3.77770 | − | 5.63239i | 0.159637 | − | 0.238012i | ||||
\(561\) | 0.0174136 | − | 0.00703556i | 0.000735203 | − | 0.000297041i | ||||
\(562\) | 5.29162 | − | 3.43642i | 0.223214 | − | 0.144957i | ||||
\(563\) | −0.759626 | − | 14.4945i | −0.0320144 | − | 0.610872i | −0.966781 | − | 0.255608i | \(-0.917724\pi\) |
0.934766 | − | 0.355264i | \(-0.115609\pi\) | |||||||
\(564\) | 0.000809479 | − | 0.00103609i | 3.40852e−5 | − | 4.36271e-5i | ||||
\(565\) | −3.76287 | − | 34.9223i | −0.158305 | − | 1.46919i | ||||
\(566\) | 5.26930 | + | 9.91011i | 0.221485 | + | 0.416553i | ||||
\(567\) | 5.20847 | + | 26.7953i | 0.218735 | + | 1.12529i | ||||
\(568\) | 0.279933 | + | 3.19965i | 0.0117457 | + | 0.134254i | ||||
\(569\) | 14.4443 | − | 10.4944i | 0.605535 | − | 0.439947i | −0.242304 | − | 0.970200i | \(-0.577903\pi\) |
0.847839 | + | 0.530254i | \(0.177903\pi\) | |||||||
\(570\) | 0.00850038 | − | 0.0100190i | 0.000356042 | − | 0.000419649i | ||||
\(571\) | 25.7744 | + | 18.7262i | 1.07863 | + | 0.783668i | 0.977443 | − | 0.211200i | \(-0.0677372\pi\) |
0.101183 | + | 0.994868i | \(0.467737\pi\) | |||||||
\(572\) | 14.9712 | − | 24.9163i | 0.625978 | − | 1.04180i | ||||
\(573\) | −0.0118744 | − | 0.0110731i | −0.000496061 | − | 0.000462584i | ||||
\(574\) | 26.3329 | − | 4.64320i | 1.09911 | − | 0.193803i | ||||
\(575\) | 17.8399 | − | 4.21709i | 0.743974 | − | 0.175865i | ||||
\(576\) | −2.81908 | − | 1.02606i | −0.117462 | − | 0.0427525i | ||||
\(577\) | −20.9178 | + | 32.2106i | −0.870820 | + | 1.34095i | 0.0684099 | + | 0.997657i | \(0.478207\pi\) |
−0.939230 | + | 0.343288i | \(0.888459\pi\) | |||||||
\(578\) | 2.49279 | − | 6.49393i | 0.103686 | − | 0.270112i | ||||
\(579\) | 0.000427946 | 0.00611992i | 1.77848e−5 | 0.000254335i | ||||||
\(580\) | −3.67165 | − | 18.6287i | −0.152457 | − | 0.773514i | ||||
\(581\) | −0.267352 | − | 2.54368i | −0.0110916 | − | 0.105530i | ||||
\(582\) | −0.00321880 | + | 0.0120127i | −0.000133423 | + | 0.000497943i | ||||
\(583\) | −12.0905 | + | 21.8118i | −0.500737 | + | 0.903354i | ||||
\(584\) | −0.0129072 | + | 0.00181398i | −0.000534102 | + | 7.50632e-5i | ||||
\(585\) | 30.8961 | + | 31.8269i | 1.27740 | + | 1.31588i | ||||
\(586\) | −1.01095 | − | 28.9500i | −0.0417622 | − | 1.19591i | ||||
\(587\) | 9.24459 | + | 21.7789i | 0.381565 | + | 0.898911i | 0.994100 | + | 0.108468i | \(0.0345943\pi\) |
−0.612535 | + | 0.790444i | \(0.709850\pi\) | |||||||
\(588\) | −0.00264122 | − | 0.00134577i | −0.000108922 | − | 5.54986e-5i | ||||
\(589\) | −19.5563 | − | 8.48793i | −0.805804 | − | 0.349739i | ||||
\(590\) | 18.0952 | + | 0.584507i | 0.744966 | + | 0.0240638i | ||||
\(591\) | 0.0132041 | + | 0.00533481i | 0.000543144 | + | 0.000219445i | ||||
\(592\) | 10.5061 | − | 2.04218i | 0.431799 | − | 0.0839332i | ||||
\(593\) | −16.0826 | + | 22.9683i | −0.660432 | + | 0.943195i | 0.339565 | + | 0.940583i | \(0.389720\pi\) |
−0.999997 | + | 0.00261196i | \(0.999169\pi\) | |||||||
\(594\) | −0.0319580 | + | 0.0155870i | −0.00131125 | + | 0.000639541i | ||||
\(595\) | 18.4525 | + | 11.0218i | 0.756479 | + | 0.451849i | ||||
\(596\) | −0.184762 | + | 1.75789i | −0.00756815 | + | 0.0720062i | ||||
\(597\) | −0.0156168 | − | 0.00599475i | −0.000639155 | − | 0.000245349i | ||||
\(598\) | 9.47241 | − | 22.3156i | 0.387356 | − | 0.912553i | ||||
\(599\) | 23.0264 | − | 19.3215i | 0.940835 | − | 0.789454i | −0.0368955 | − | 0.999319i | \(-0.511747\pi\) |
0.977730 | + | 0.209865i | \(0.0673024\pi\) | |||||||
\(600\) | −0.00373980 | + | 0.00560754i | −0.000152677 | + | 0.000228927i | ||||
\(601\) | −35.7043 | + | 20.6139i | −1.45641 | + | 0.840858i | −0.998832 | − | 0.0483124i | \(-0.984616\pi\) |
−0.457576 | + | 0.889170i | \(0.651282\pi\) | |||||||
\(602\) | −16.9689 | + | 2.08352i | −0.691601 | + | 0.0849179i | ||||
\(603\) | −0.379902 | + | 21.7646i | −0.0154708 | + | 0.886322i | ||||
\(604\) | −5.10790 | + | 10.4728i | −0.207838 | + | 0.426130i | ||||
\(605\) | −16.5649 | + | 8.49490i | −0.673460 | + | 0.345367i | ||||
\(606\) | −0.0128082 | 0.000895637i | −0.000520298 | 3.63828e-5i | ||||||
\(607\) | −15.3577 | − | 15.3577i | −0.623350 | − | 0.623350i | 0.323037 | − | 0.946386i | \(-0.395296\pi\) |
−0.946386 | + | 0.323037i | \(0.895296\pi\) | |||||||
\(608\) | −3.93303 | + | 1.87916i | −0.159506 | + | 0.0762099i | ||||
\(609\) | −0.0330182 | + | 0.0107283i | −0.00133797 | + | 0.000434731i | ||||
\(610\) | 4.18415 | + | 19.4348i | 0.169411 | + | 0.786890i | ||||
\(611\) | 6.44537 | − | 0.225077i | 0.260752 | − | 0.00910565i | ||||
\(612\) | 2.77978 | − | 9.09226i | 0.112366 | − | 0.367533i | ||||
\(613\) | 21.2626 | + | 16.0225i | 0.858789 | + | 0.647144i | 0.936822 | − | 0.349807i | \(-0.113753\pi\) |
−0.0780328 | + | 0.996951i | \(0.524864\pi\) | |||||||
\(614\) | −8.27471 | − | 6.46491i | −0.333940 | − | 0.260902i | ||||
\(615\) | −0.0261587 | + | 0.00468308i | −0.00105482 | + | 0.000188840i | ||||
\(616\) | −2.77212 | + | 13.0418i | −0.111692 | + | 0.525470i | ||||
\(617\) | −22.4890 | − | 37.4280i | −0.905374 | − | 1.50679i | −0.861500 | − | 0.507758i | \(-0.830474\pi\) |
−0.0438739 | − | 0.999037i | \(-0.513970\pi\) | |||||||
\(618\) | −0.00133158 | + | 0.0152200i | −5.35639e−5 | + | 0.000612238i | ||||
\(619\) | −1.29499 | + | 0.136109i | −0.0520502 | + | 0.00547070i | −0.130518 | − | 0.991446i | \(-0.541664\pi\) |
0.0784676 | + | 0.996917i | \(0.474997\pi\) | |||||||
\(620\) | 10.4668 | + | 3.17011i | 0.420357 | + | 0.127315i | ||||
\(621\) | −0.0245843 | + | 0.0165823i | −0.000986536 | + | 0.000665427i | ||||
\(622\) | 3.46352 | + | 0.0604560i | 0.138875 | + | 0.00242407i | ||||
\(623\) | −6.26913 | + | 4.72413i | −0.251167 | + | 0.189268i | ||||
\(624\) | 0.00304867 | + | 0.00837614i | 0.000122044 | + | 0.000335314i | ||||
\(625\) | −16.9218 | − | 18.4026i | −0.676870 | − | 0.736103i | ||||
\(626\) | − | 3.50946i | − | 0.140266i | ||||||
\(627\) | −0.00818015 | + | 0.0245018i | −0.000326684 | + | 0.000978508i | ||||
\(628\) | 1.26015 | + | 7.95630i | 0.0502856 | + | 0.317491i | ||||
\(629\) | 8.20588 | + | 32.9120i | 0.327190 | + | 1.31229i | ||||
\(630\) | −18.1524 | − | 9.18936i | −0.723208 | − | 0.366113i | ||||
\(631\) | −10.3493 | − | 9.99417i | −0.411998 | − | 0.397862i | 0.459566 | − | 0.888144i | \(-0.348005\pi\) |
−0.871564 | + | 0.490282i | \(0.836894\pi\) | |||||||
\(632\) | 4.12194 | + | 5.88674i | 0.163962 | + | 0.234162i | ||||
\(633\) | 0.0177978 | + | 0.00986549i | 0.000707400 | + | 0.000392118i | ||||
\(634\) | 1.63904 | + | 1.47580i | 0.0650946 | + | 0.0586115i | ||||
\(635\) | −27.3686 | − | 32.4439i | −1.08609 | − | 1.28750i | ||||
\(636\) | −0.00286476 | − | 0.00709054i | −0.000113595 | − | 0.000281158i | ||||
\(637\) | −3.27085 | − | 14.1676i | −0.129596 | − | 0.561341i | ||||
\(638\) | 20.3304 | + | 31.3061i | 0.804888 | + | 1.23942i | ||||
\(639\) | 9.42504 | − | 2.00336i | 0.372849 | − | 0.0792515i | ||||
\(640\) | 1.89319 | − | 1.18989i | 0.0748348 | − | 0.0470346i | ||||
\(641\) | −6.30625 | − | 44.8713i | −0.249082 | − | 1.77231i | −0.566537 | − | 0.824036i | \(-0.691717\pi\) |
0.317455 | − | 0.948273i | \(-0.397172\pi\) | |||||||
\(642\) | 0.000459747 | 0.0263389i | 1.81447e−5 | 0.00103951i | ||||||
\(643\) | −21.4693 | − | 10.0113i | −0.846666 | − | 0.394807i | −0.0496510 | − | 0.998767i | \(-0.515811\pi\) |
−0.797015 | + | 0.603960i | \(0.793589\pi\) | |||||||
\(644\) | −0.775680 | + | 11.0927i | −0.0305661 | + | 0.437115i | ||||
\(645\) | 0.0168590 | − | 0.00211481i | 0.000663824 | − | 8.32706e-5i | ||||
\(646\) | −6.59969 | − | 12.1359i | −0.259661 | − | 0.477482i | ||||
\(647\) | 29.3032 | − | 4.64118i | 1.15203 | − | 0.182464i | 0.448938 | − | 0.893563i | \(-0.351802\pi\) |
0.703091 | + | 0.711099i | \(0.251802\pi\) | |||||||
\(648\) | −2.02456 | + | 8.76931i | −0.0795321 | + | 0.344491i | ||||
\(649\) | −33.4467 | + | 12.1736i | −1.31290 | + | 0.477856i | ||||
\(650\) | −32.8619 | + | 3.62786i | −1.28895 | + | 0.142296i | ||||
\(651\) | 0.00347241 | − | 0.0196930i | 0.000136095 | − | 0.000771831i | ||||
\(652\) | 2.39337 | + | 19.4925i | 0.0937317 | + | 0.763384i | ||||
\(653\) | −9.84130 | + | 7.96933i | −0.385120 | + | 0.311864i | −0.802256 | − | 0.596980i | \(-0.796367\pi\) |
0.417136 | + | 0.908844i | \(0.363034\pi\) | |||||||
\(654\) | −0.0238561 | + | 0.0106214i | −0.000932847 | + | 0.000415330i | ||||
\(655\) | 22.0932 | + | 39.6125i | 0.863253 | + | 1.54779i | ||||
\(656\) | 8.55425 | + | 2.13281i | 0.333987 | + | 0.0832724i | ||||
\(657\) | 0.0101203 | + | 0.0377696i | 0.000394832 | + | 0.00147353i | ||||
\(658\) | −2.76172 | + | 1.06013i | −0.107663 | + | 0.0413280i | ||||
\(659\) | −0.566572 | + | 16.2245i | −0.0220705 | + | 0.632017i | 0.937079 | + | 0.349117i | \(0.113519\pi\) |
−0.959150 | + | 0.282900i | \(0.908704\pi\) | |||||||
\(660\) | 0.00272115 | − | 0.0129687i | 0.000105921 | − | 0.000504808i | ||||
\(661\) | 1.83466 | − | 13.0543i | 0.0713601 | − | 0.507754i | −0.921492 | − | 0.388398i | \(-0.873028\pi\) |
0.992852 | − | 0.119355i | \(-0.0380827\pi\) | |||||||
\(662\) | 7.51206 | + | 0.922366i | 0.291965 | + | 0.0358488i | ||||
\(663\) | −0.0260039 | + | 0.0110380i | −0.00100991 | + | 0.000428681i | ||||
\(664\) | 0.260592 | − | 0.802020i | 0.0101129 | − | 0.0311244i | ||||
\(665\) | −28.0033 | + | 9.47195i | −1.08592 | + | 0.367307i | ||||
\(666\) | −9.92199 | − | 30.5368i | −0.384469 | − | 1.18328i | ||||
\(667\) | 20.4242 | + | 23.4953i | 0.790828 | + | 0.909743i | ||||
\(668\) | 0.00310386 | − | 0.00665626i | 0.000120092 | − | 0.000257538i | ||||
\(669\) | −0.0130472 | + | 0.0135108i | −0.000504434 | + | 0.000522357i | ||||
\(670\) | −12.6357 | − | 10.1776i | −0.488161 | − | 0.393195i | ||||
\(671\) | −21.8554 | − | 32.4019i | −0.843718 | − | 1.25086i | ||||
\(672\) | −0.00257304 | − | 0.00317743i | −9.92570e−5 | − | 0.000122572i | ||||
\(673\) | 6.98778 | + | 0.366214i | 0.269359 | + | 0.0141165i | 0.186537 | − | 0.982448i | \(-0.440273\pi\) |
0.0828216 | + | 0.996564i | \(0.473607\pi\) | |||||||
\(674\) | −4.04746 | − | 4.82357i | −0.155902 | − | 0.185797i | ||||
\(675\) | 0.0361291 | + | 0.0181712i | 0.00139061 | + | 0.000699410i | ||||
\(676\) | −15.3614 | + | 26.6067i | −0.590822 | + | 1.02333i | ||||
\(677\) | −8.97303 | − | 5.82716i | −0.344862 | − | 0.223956i | 0.360573 | − | 0.932731i | \(-0.382581\pi\) |
−0.705434 | + | 0.708775i | \(0.749248\pi\) | |||||||
\(678\) | −0.0207862 | − | 0.00404043i | −0.000798290 | − | 0.000155172i | ||||
\(679\) | 20.1278 | − | 19.4372i | 0.772434 | − | 0.745931i | ||||
\(680\) | 4.07989 | + | 5.79437i | 0.156457 | + | 0.222204i | ||||
\(681\) | 0.00281762 | − | 0.00417730i | 0.000107972 | − | 0.000160074i | ||||
\(682\) | −21.4188 | + | 1.87390i | −0.820169 | + | 0.0717555i | ||||
\(683\) | −2.51620 | + | 15.8867i | −0.0962798 | + | 0.607887i | 0.891619 | + | 0.452786i | \(0.149570\pi\) |
−0.987899 | + | 0.155100i | \(0.950430\pi\) | |||||||
\(684\) | 7.03340 | + | 11.0241i | 0.268929 | + | 0.421518i | ||||
\(685\) | 40.3757 | − | 11.6919i | 1.54268 | − | 0.446726i | ||||
\(686\) | −7.71638 | − | 12.3488i | −0.294613 | − | 0.471479i | ||||
\(687\) | −0.00284538 | + | 0.0231738i | −0.000108558 | + | 0.000884135i | ||||
\(688\) | −5.39051 | − | 1.64804i | −0.205511 | − | 0.0628311i | ||||
\(689\) | 17.6105 | − | 33.1206i | 0.670907 | − | 1.26179i | ||||
\(690\) | 0.000742066 | − | 0.0110265i | 2.82500e−5 | − | 0.000419771i | ||||
\(691\) | −20.2684 | + | 22.5103i | −0.771045 | + | 0.856332i | −0.992925 | − | 0.118742i | \(-0.962114\pi\) |
0.221881 | + | 0.975074i | \(0.428781\pi\) | |||||||
\(692\) | 1.94880 | − | 2.40657i | 0.0740823 | − | 0.0914840i | ||||
\(693\) | 39.8473 | + | 3.48619i | 1.51367 | + | 0.132429i | ||||
\(694\) | −3.67748 | + | 14.7496i | −0.139595 | + | 0.559886i | ||||
\(695\) | −0.214382 | + | 2.52650i | −0.00813197 | + | 0.0958357i | ||||
\(696\) | −0.0113839 | − | 0.00119650i | −0.000431507 | − | 4.53532e-5i | ||||
\(697\) | −5.33127 | + | 27.4270i | −0.201936 | + | 1.03887i | ||||
\(698\) | −4.04477 | + | 1.23661i | −0.153097 | + | 0.0468064i | ||||
\(699\) | −0.00226210 | − | 0.0128290i | −8.55604e−5 | − | 0.000485237i | ||||
\(700\) | 13.7103 | − | 6.48078i | 0.518202 | − | 0.244951i | ||||
\(701\) | 18.4262 | + | 15.4615i | 0.695950 | + | 0.583971i | 0.920618 | − | 0.390464i | \(-0.127685\pi\) |
−0.224668 | + | 0.974435i | \(0.572130\pi\) | |||||||
\(702\) | 0.0476530 | − | 0.0242804i | 0.00179855 | − | 0.000916405i | ||||
\(703\) | −41.7645 | − | 20.7885i | −1.57518 | − | 0.784052i | ||||
\(704\) | −2.58394 | + | 3.55649i | −0.0973860 | + | 0.134040i | ||||
\(705\) | 0.00274197 | − | 0.00106078i | 0.000103268 | − | 3.99513e-5i | ||||
\(706\) | 20.3878 | + | 13.7517i | 0.767305 | + | 0.517553i | ||||
\(707\) | 23.6634 | + | 16.5693i | 0.889954 | + | 0.623153i | ||||
\(708\) | 0.00355345 | − | 0.0103200i | 0.000133547 | − | 0.000387848i | ||||
\(709\) | 25.5191 | + | 0.891146i | 0.958390 | + | 0.0334677i | 0.509821 | − | 0.860281i | \(-0.329712\pi\) |
0.448569 | + | 0.893748i | \(0.351934\pi\) | |||||||
\(710\) | −3.13147 | + | 6.46332i | −0.117522 | + | 0.242564i | ||||
\(711\) | 16.0216 | − | 14.4259i | 0.600856 | − | 0.541013i | ||||
\(712\) | −2.52181 | + | 0.582207i | −0.0945090 | + | 0.0218191i | ||||
\(713\) | −17.4719 | + | 4.03370i | −0.654328 | + | 0.151063i | ||||
\(714\) | 0.00962946 | − | 0.00867041i | 0.000360374 | − | 0.000324482i | ||||
\(715\) | 57.3102 | − | 30.6649i | 2.14328 | − | 1.14680i | ||||
\(716\) | 13.6796 | + | 0.477701i | 0.511230 | + | 0.0178525i | ||||
\(717\) | 0.00130136 | − | 0.00377944i | 4.86003e−5 | − | 0.000141146i | ||||
\(718\) | 8.80968 | + | 6.16860i | 0.328774 | + | 0.230210i | ||||
\(719\) | 39.2102 | + | 26.4476i | 1.46229 | + | 0.986330i | 0.994747 | + | 0.102361i | \(0.0326398\pi\) |
0.467547 | + | 0.883968i | \(0.345138\pi\) | |||||||
\(720\) | −4.23523 | − | 5.20219i | −0.157838 | − | 0.193874i | ||||
\(721\) | 20.2048 | − | 27.8095i | 0.752465 | − | 1.03568i | ||||
\(722\) | 18.5900 | + | 3.92571i | 0.691849 | + | 0.146100i | ||||
\(723\) | −0.0320652 | + | 0.0163380i | −0.00119252 | + | 0.000607617i | ||||
\(724\) | −1.89998 | − | 1.59427i | −0.0706121 | − | 0.0592506i | ||||
\(725\) | 14.3120 | − | 39.9714i | 0.531535 | − | 1.48450i | ||||
\(726\) | 0.00194885 | + | 0.0110525i | 7.23287e−5 | + | 0.000410196i | ||||
\(727\) | 42.8136 | − | 13.0894i | 1.58787 | − | 0.485461i | 0.630953 | − | 0.775821i | \(-0.282664\pi\) |
0.956917 | + | 0.290361i | \(0.0937753\pi\) | |||||||
\(728\) | 3.82668 | − | 19.6866i | 0.141826 | − | 0.729632i | ||||
\(729\) | 26.8520 | + | 2.82226i | 0.994518 | + | 0.104528i | ||||
\(730\) | −0.0268578 | − | 0.0113176i | −0.000994050 | − | 0.000418884i | ||||
\(731\) | 4.32178 | − | 17.3337i | 0.159847 | − | 0.641111i | ||||
\(732\) | 0.0119394 | + | 0.00104456i | 0.000441292 | + | 3.86080e-5i | ||||
\(733\) | −5.84423 | + | 7.21702i | −0.215861 | + | 0.266567i | −0.873562 | − | 0.486713i | \(-0.838196\pi\) |
0.657701 | + | 0.753279i | \(0.271529\pi\) | |||||||
\(734\) | 5.63365 | − | 6.25680i | 0.207942 | − | 0.230943i | ||||
\(735\) | −0.00352721 | − | 0.00561199i | −0.000130103 | − | 0.000207002i | ||||
\(736\) | −1.72123 | + | 3.23716i | −0.0634453 | + | 0.119323i | ||||
\(737\) | 30.5039 | + | 9.32598i | 1.12363 | + | 0.343527i | ||||
\(738\) | 3.22324 | − | 26.2512i | 0.118649 | − | 0.966320i | ||||
\(739\) | −21.8491 | − | 34.9659i | −0.803732 | − | 1.28624i | −0.954661 | − | 0.297695i | \(-0.903782\pi\) |
0.150929 | − | 0.988545i | \(-0.451774\pi\) | |||||||
\(740\) | 22.5101 | + | 8.12640i | 0.827489 | + | 0.298732i | ||||
\(741\) | 0.0116591 | − | 0.0370634i | 0.000428307 | − | 0.00136156i | ||||
\(742\) | −2.69160 | + | 16.9941i | −0.0988119 | + | 0.623874i | ||||
\(743\) | 12.7466 | − | 1.11518i | 0.467626 | − | 0.0409119i | 0.149092 | − | 0.988823i | \(-0.452365\pi\) |
0.318534 | + | 0.947911i | \(0.396809\pi\) | |||||||
\(744\) | 0.00368683 | − | 0.00546595i | 0.000135166 | − | 0.000200392i | ||||
\(745\) | −2.37036 | + | 3.16276i | −0.0868433 | + | 0.115874i | ||||
\(746\) | −12.3163 | + | 11.8937i | −0.450930 | + | 0.435458i | ||||
\(747\) | −2.48340 | − | 0.482724i | −0.0908628 | − | 0.0176619i | ||||
\(748\) | −11.6845 | − | 7.58800i | −0.427227 | − | 0.277445i | ||||
\(749\) | 29.6345 | − | 51.3285i | 1.08282 | − | 1.87550i | ||||
\(750\) | −0.0136091 | + | 0.00647654i | −0.000496934 | + | 0.000236490i | ||||
\(751\) | −8.67668 | − | 10.3405i | −0.316616 | − | 0.377329i | 0.584140 | − | 0.811653i | \(-0.301432\pi\) |
−0.900757 | + | 0.434324i | \(0.856987\pi\) | |||||||
\(752\) | −0.974010 | − | 0.0510457i | −0.0355185 | − | 0.00186144i | ||||
\(753\) | −0.0112171 | − | 0.0138519i | −0.000408773 | − | 0.000504792i | ||||
\(754\) | −31.3970 | − | 46.5480i | −1.14341 | − | 1.69518i | ||||
\(755\) | −21.8141 | + | 14.2475i | −0.793896 | + | 0.518520i | ||||
\(756\) | −0.0170411 | + | 0.0176465i | −0.000619777 | + | 0.000641798i | ||||
\(757\) | −11.6786 | + | 25.0448i | −0.424466 | + | 0.910270i | 0.571506 | + | 0.820598i | \(0.306360\pi\) |
−0.995971 | + | 0.0896716i | \(0.971418\pi\) | |||||||
\(758\) | 19.0204 | + | 21.8805i | 0.690854 | + | 0.794736i | ||||
\(759\) | 0.00671397 | + | 0.0206635i | 0.000243702 | + | 0.000750037i | ||||
\(760\) | −9.70493 | − | 0.902381i | −0.352035 | − | 0.0327328i | ||||
\(761\) | −11.8515 | + | 36.4753i | −0.429618 | + | 1.32223i | 0.468885 | + | 0.883259i | \(0.344656\pi\) |
−0.898503 | + | 0.438968i | \(0.855344\pi\) | |||||||
\(762\) | −0.0235549 | + | 0.00999845i | −0.000853303 | + | 0.000362206i | ||||
\(763\) | 58.3157 | + | 7.16026i | 2.11117 | + | 0.259219i | ||||
\(764\) | −1.67624 | + | 11.9271i | −0.0606442 | + | 0.431506i | ||||
\(765\) | 15.7619 | − | 14.2669i | 0.569872 | − | 0.515821i | ||||
\(766\) | 1.09672 | − | 31.4061i | 0.0396263 | − | 1.13475i | ||||
\(767\) | 49.9815 | − | 19.1861i | 1.80473 | − | 0.692770i | ||||
\(768\) | −0.000348900 | − | 0.00130211i | −1.25898e−5 | − | 4.69859e-5i | ||||
\(769\) | −22.0970 | − | 5.50939i | −0.796837 | − | 0.198674i | −0.177832 | − | 0.984061i | \(-0.556908\pi\) |
−0.619005 | + | 0.785387i | \(0.712464\pi\) | |||||||
\(770\) | −20.2759 | + | 21.8576i | −0.730693 | + | 0.787694i | ||||
\(771\) | 0.0228974 | − | 0.0101946i | 0.000824629 | − | 0.000367148i | ||||
\(772\) | 3.53674 | − | 2.86399i | 0.127290 | − | 0.103077i | ||||
\(773\) | 1.15923 | + | 9.44119i | 0.0416947 | + | 0.339576i | 0.998763 | + | 0.0497150i | \(0.0158313\pi\) |
−0.957069 | + | 0.289861i | \(0.906391\pi\) | |||||||
\(774\) | −2.93646 | + | 16.6535i | −0.105549 | + | 0.598598i | ||||
\(775\) | 16.4581 | + | 18.0873i | 0.591191 | + | 0.649715i | ||||
\(776\) | 8.66919 | − | 3.15533i | 0.311206 | − | 0.113270i | ||||
\(777\) | 0.00984369 | − | 0.0426377i | 0.000353140 | − | 0.00152962i | ||||
\(778\) | 21.7826 | − | 3.45003i | 0.780944 | − | 0.123689i | ||||
\(779\) | −23.9423 | − | 30.0587i | −0.857821 | − | 1.07696i | ||||
\(780\) | −0.00375194 | + | 0.0195753i | −0.000134341 | + | 0.000700909i | ||||
\(781\) | 0.984933 | − | 14.0852i | 0.0352437 | − | 0.504008i | ||||
\(782\) | −10.5307 | − | 4.91057i | −0.376579 | − | 0.175601i | ||||
\(783\) | 0.00119863 | + | 0.0686693i | 4.28354e−5 | + | 0.00245404i | ||||
\(784\) | 0.306037 | + | 2.17757i | 0.0109299 | + | 0.0777703i | ||||
\(785\) | −6.70393 | + | 16.7186i | −0.239273 | + | 0.596712i | ||||
\(786\) | 0.0267466 | − | 0.00568516i | 0.000954019 | − | 0.000202783i | ||||
\(787\) | −16.1733 | − | 24.9047i | −0.576516 | − | 0.887758i | 0.423317 | − | 0.905981i | \(-0.360865\pi\) |
−0.999834 | + | 0.0182239i | \(0.994199\pi\) | |||||||
\(788\) | −2.37644 | − | 10.2935i | −0.0846571 | − | 0.366690i | ||||
\(789\) | 0.00772771 | + | 0.0191268i | 0.000275114 | + | 0.000680931i | ||||
\(790\) | 1.16286 | + | 16.0271i | 0.0413729 | + | 0.570219i | ||||
\(791\) | 35.4052 | + | 31.8790i | 1.25887 | + | 1.13349i | ||||
\(792\) | 11.5346 | + | 6.39376i | 0.409866 | + | 0.227192i | ||||
\(793\) | 33.7192 | + | 48.1560i | 1.19740 | + | 1.71007i | ||||
\(794\) | 8.81199 | + | 8.50964i | 0.312726 | + | 0.301996i | ||||
\(795\) | 0.00263085 | − | 0.0168965i | 9.33067e−5 | − | 0.000599257i | ||||
\(796\) | 3.00201 | + | 12.0404i | 0.106403 | + | 0.426761i | ||||
\(797\) | 0.103144 | + | 0.651226i | 0.00365355 | + | 0.0230676i | 0.989448 | − | 0.144890i | \(-0.0462828\pi\) |
−0.985794 | + | 0.167958i | \(0.946283\pi\) | |||||||
\(798\) | 0.000478314 | 0.0178154i | 1.69321e−5 | 0.000630657i | ||||||
\(799\) | − | 3.09110i | − | 0.109355i | ||||||
\(800\) | 4.99871 | − | 0.113417i | 0.176731 | − | 0.00400988i | ||||
\(801\) | 2.65559 | + | 7.29619i | 0.0938308 | + | 0.257798i | ||||
\(802\) | −3.00191 | + | 2.26210i | −0.106001 | + | 0.0798777i | ||||
\(803\) | 0.0572896 | 0.000999994i | 0.00202171 | 3.52890e-5i | ||||||
\(804\) | −0.00810912 | + | 0.00546967i | −0.000285987 | + | 0.000192900i | ||||
\(805\) | −14.2085 | + | 20.4052i | −0.500783 | + | 0.719189i | ||||
\(806\) | 32.1629 | − | 3.38046i | 1.13289 | − | 0.119072i | ||||
\(807\) | 0.000510201 | − | 0.00583162i | 1.79599e−5 | − | 0.000205283i | ||||
\(808\) | 4.90549 | + | 8.16411i | 0.172575 | + | 0.287212i | ||||
\(809\) | −3.75153 | + | 17.6496i | −0.131897 | + | 0.620526i | 0.861688 | + | 0.507438i | \(0.169407\pi\) |
−0.993585 | + | 0.113088i | \(0.963926\pi\) | |||||||
\(810\) | −13.9418 | + | 14.5129i | −0.489864 | + | 0.509932i | ||||
\(811\) | −2.60453 | − | 2.03489i | −0.0914576 | − | 0.0714545i | 0.568895 | − | 0.822410i | \(-0.307371\pi\) |
−0.660353 | + | 0.750956i | \(0.729593\pi\) | |||||||
\(812\) | 20.5680 | + | 15.4991i | 0.721794 | + | 0.543911i | ||||
\(813\) | −0.00698152 | + | 0.0228355i | −0.000244853 | + | 0.000800877i | ||||
\(814\) | −47.0213 | + | 1.64202i | −1.64810 | + | 0.0575528i | ||||
\(815\) | −17.7563 | + | 40.1638i | −0.621978 | + | 1.40688i | ||||
\(816\) | 0.00406317 | − | 0.00132021i | 0.000142240 | − | 4.62164e-5i | ||||
\(817\) | 14.2813 | + | 19.9936i | 0.499639 | + | 0.699487i | ||||
\(818\) | 12.4025 | + | 12.4025i | 0.433645 | + | 0.433645i | ||||
\(819\) | −60.0185 | − | 4.19690i | −2.09722 | − | 0.146652i | ||||
\(820\) | 13.9759 | + | 13.9030i | 0.488061 | + | 0.485514i | ||||
\(821\) | 5.43525 | − | 11.1439i | 0.189692 | − | 0.388926i | −0.782659 | − | 0.622451i | \(-0.786137\pi\) |
0.972351 | + | 0.233525i | \(0.0750261\pi\) | |||||||
\(822\) | 0.000442263 | − | 0.0253372i | 1.54257e−5 | − | 0.000883737i | ||||
\(823\) | −55.3473 | + | 6.79579i | −1.92928 | + | 0.236886i | −0.993336 | − | 0.115252i | \(-0.963233\pi\) |
−0.935948 | + | 0.352138i | \(0.885455\pi\) | |||||||
\(824\) | 9.81514 | − | 5.66677i | 0.341926 | − | 0.197411i | ||||
\(825\) | 0.0200943 | − | 0.0217758i | 0.000699593 | − | 0.000758135i | ||||
\(826\) | −18.8117 | + | 15.7849i | −0.654542 | + | 0.549226i | ||||
\(827\) | 19.4946 | − | 45.9264i | 0.677893 | − | 1.59702i | −0.118999 | − | 0.992894i | \(-0.537969\pi\) |
0.796892 | − | 0.604122i | \(-0.206476\pi\) | |||||||
\(828\) | 10.2684 | + | 3.94166i | 0.356850 | + | 0.136982i | ||||
\(829\) | −0.0249237 | + | 0.237133i | −0.000865636 | + | 0.00823598i | −0.994946 | − | 0.100410i | \(-0.967985\pi\) |
0.994081 | + | 0.108646i | \(0.0346514\pi\) | |||||||
\(830\) | 1.41989 | − | 1.24082i | 0.0492850 | − | 0.0430696i | ||||
\(831\) | 0.00109852 | 0.000535785i | 3.81073e−5 | 1.85862e-5i | ||||||
\(832\) | 3.79267 | − | 5.41649i | 0.131487 | − | 0.187783i | ||||
\(833\) | −6.84101 | + | 1.32976i | −0.237027 | + | 0.0460734i | ||||
\(834\) | 0.00141730 | 0.000572628i | 4.90772e−5 | 1.98285e-5i | ||||||
\(835\) | 0.0135908 | − | 0.00921893i | 0.000470329 | − | 0.000319034i | ||||
\(836\) | 18.3693 | − | 5.45446i | 0.635315 | − | 0.188647i | ||||
\(837\) | −0.0352471 | − | 0.0179593i | −0.00121832 | − | 0.000620765i | ||||
\(838\) | 8.19637 | + | 19.3094i | 0.283139 | + | 0.667033i | ||||
\(839\) | 1.07214 | + | 30.7022i | 0.0370145 | + | 1.05996i | 0.865800 | + | 0.500391i | \(0.166810\pi\) |
−0.828785 | + | 0.559567i | \(0.810967\pi\) | |||||||
\(840\) | −0.00129605 | − | 0.00905004i | −4.47180e−5 | − | 0.000312256i | ||||
\(841\) | 42.6824 | − | 5.99862i | 1.47181 | − | 0.206849i | ||||
\(842\) | 7.51267 | − | 13.5532i | 0.258904 | − | 0.467075i | ||||
\(843\) | 0.00220140 | − | 0.00821572i | 7.58201e−5 | − | 0.000282964i | ||||
\(844\) | −1.57789 | − | 15.0126i | −0.0543133 | − | 0.516757i | ||||
\(845\) | −59.9974 | + | 33.4626i | −2.06397 | + | 1.15115i | ||||
\(846\) | 0.204110 | + | 2.91891i | 0.00701745 | + | 0.100354i | ||||
\(847\) | 9.04905 | − | 23.5736i | 0.310929 | − | 0.809998i | ||||
\(848\) | −3.08971 | + | 4.75774i | −0.106101 | + | 0.163381i | ||||
\(849\) | 0.0142178 | + | 0.00517487i | 0.000487955 | + | 0.000177601i | ||||
\(850\) | 1.18806 | + | 15.8016i | 0.0407502 | + | 0.541990i | ||||
\(851\) | −38.6434 | + | 6.81388i | −1.32468 | + | 0.233577i | ||||
\(852\) | 0.00316658 | + | 0.00295288i | 0.000108485 | + | 0.000101164i | ||||
\(853\) | 12.0857 | − | 20.1140i | 0.413807 | − | 0.688690i | −0.578057 | − | 0.815996i | \(-0.696189\pi\) |
0.991863 | + | 0.127307i | \(0.0406333\pi\) | |||||||
\(854\) | −21.8152 | − | 15.8497i | −0.746502 | − | 0.542365i | ||||
\(855\) | 0.861236 | + | 29.2277i | 0.0294537 | + | 0.999566i | ||||
\(856\) | 15.8094 | − | 11.4862i | 0.540355 | − | 0.392591i | ||||
\(857\) | 2.52553 | + | 28.8669i | 0.0862704 | + | 0.986075i | 0.908767 | + | 0.417305i | \(0.137025\pi\) |
−0.822496 | + | 0.568770i | \(0.807419\pi\) | |||||||
\(858\) | −0.00747689 | − | 0.0384653i | −0.000255257 | − | 0.00131318i | ||||
\(859\) | −19.2730 | − | 36.2473i | −0.657587 | − | 1.23674i | −0.959043 | − | 0.283260i | \(-0.908584\pi\) |
0.301456 | − | 0.953480i | \(-0.402527\pi\) | |||||||
\(860\) | −8.45839 | − | 9.34472i | −0.288429 | − | 0.318652i | ||||
\(861\) | 0.0221919 | − | 0.0284043i | 0.000756296 | − | 0.000968015i | ||||
\(862\) | 0.352362 | + | 6.72348i | 0.0120015 | + | 0.229003i | ||||
\(863\) | −0.816162 | + | 0.530022i | −0.0277825 | + | 0.0180421i | −0.558456 | − | 0.829534i | \(-0.688606\pi\) |
0.530673 | + | 0.847577i | \(0.321939\pi\) | |||||||
\(864\) | −0.00749931 | + | 0.00302992i | −0.000255132 | + | 0.000103080i | ||||
\(865\) | 6.50057 | − | 2.38529i | 0.221026 | − | 0.0811023i | ||||
\(866\) | −13.7482 | − | 2.92227i | −0.467182 | − | 0.0993027i | ||||
\(867\) | −0.00336039 | − | 0.00875412i | −0.000114125 | − | 0.000297305i | ||||
\(868\) | −13.4441 | + | 6.26910i | −0.456323 | + | 0.212787i | ||||
\(869\) | −13.8489 | − | 28.3945i | −0.469793 | − | 0.963218i | ||||
\(870\) | −0.0204817 | − | 0.0153502i | −0.000694393 | − | 0.000520420i | ||||
\(871\) | −46.1201 | − | 13.2247i | −1.56272 | − | 0.448103i | ||||
\(872\) | 16.6047 | + | 9.97710i | 0.562305 | + | 0.337867i | ||||
\(873\) | −12.5649 | − | 24.6601i | −0.425259 | − | 0.834617i | ||||
\(874\) | 14.5378 | − | 6.63686i | 0.491747 | − | 0.224495i | ||||
\(875\) | 33.7508 | + | 3.27976i | 1.14098 | + | 0.110876i | ||||
\(876\) | −1.12941e−5 | 0 | 1.34597e-5i | −3.81591e−7 | 0 | 4.54762e-7i | ||||
\(877\) | −5.55599 | + | 5.95807i | −0.187612 | + | 0.201190i | −0.818209 | − | 0.574921i | \(-0.805033\pi\) |
0.630596 | + | 0.776111i | \(0.282810\pi\) | |||||||
\(878\) | −12.5840 | + | 4.33302i | −0.424690 | + | 0.146232i | ||||
\(879\) | −0.0271262 | − | 0.0280900i | −0.000914943 | − | 0.000947451i | ||||
\(880\) | −9.03839 | + | 3.86450i | −0.304684 | + | 0.130272i | ||||
\(881\) | 5.67476 | + | 2.52657i | 0.191188 | + | 0.0851222i | 0.500098 | − | 0.865969i | \(-0.333297\pi\) |
−0.308910 | + | 0.951091i | \(0.599964\pi\) | |||||||
\(882\) | 6.37212 | − | 1.70740i | 0.214560 | − | 0.0574913i | ||||
\(883\) | −48.0983 | + | 28.9004i | −1.61864 | + | 0.972576i | −0.639648 | + | 0.768668i | \(0.720920\pi\) |
−0.978990 | + | 0.203908i | \(0.934636\pi\) | |||||||
\(884\) | 17.7717 | + | 11.1050i | 0.597727 | + | 0.373501i | ||||
\(885\) | 0.0186548 | − | 0.0157366i | 0.000627076 | − | 0.000528981i | ||||
\(886\) | 3.06274 | + | 14.4090i | 0.102895 | + | 0.484081i | ||||
\(887\) | −21.3449 | + | 19.9044i | −0.716691 | + | 0.668325i | −0.952868 | − | 0.303385i | \(-0.901883\pi\) |
0.236177 | + | 0.971710i | \(0.424106\pi\) | |||||||
\(888\) | 0.00868287 | − | 0.0115226i | 0.000291378 | − | 0.000386672i | ||||
\(889\) | 57.0128 | + | 8.01263i | 1.91215 | + | 0.268735i | ||||
\(890\) | −5.50869 | − | 1.77396i | −0.184652 | − | 0.0594633i | ||||
\(891\) | 14.8211 | − | 36.6836i | 0.496526 | − | 1.22895i | ||||
\(892\) | 13.7614 | + | 2.17959i | 0.460764 | + | 0.0729779i | ||||
\(893\) | 3.23464 | + | 2.75895i | 0.108243 | + | 0.0923246i | ||||
\(894\) | 0.00140056 | + | 0.00192770i | 4.68417e−5 | + | 6.44721e-5i | ||||
\(895\) | 25.7128 | + | 16.6026i | 0.859484 | + | 0.554964i | ||||
\(896\) | −0.836003 | + | 2.91549i | −0.0279289 | + | 0.0973996i | ||||
\(897\) | −0.0106397 | − | 0.0308999i | −0.000355249 | − | 0.00103172i | ||||
\(898\) | −1.15866 | − | 3.78982i | −0.0386651 | − | 0.126468i | ||||
\(899\) | −14.2040 | + | 39.0253i | −0.473732 | + | 1.30157i | ||||
\(900\) | −2.16528 | − | 14.8429i | −0.0721761 | − | 0.494763i | ||||
\(901\) | −15.5702 | − | 8.98946i | −0.518719 | − | 0.299482i | ||||
\(902\) | −35.6753 | − | 15.1433i | −1.18786 | − | 0.504216i | ||||
\(903\) | −0.0151199 | + | 0.0173935i | −0.000503160 | + | 0.000578820i | ||||
\(904\) | 6.38907 | + | 14.3501i | 0.212497 | + | 0.477277i | ||||
\(905\) | −1.81931 | − | 5.23910i | −0.0604759 | − | 0.174153i | ||||
\(906\) | 0.00432956 | + | 0.0150990i | 0.000143840 | + | 0.000501629i | ||||
\(907\) | 6.19859 | − | 4.34030i | 0.205821 | − | 0.144117i | −0.466122 | − | 0.884721i | \(-0.654349\pi\) |
0.671942 | + | 0.740603i | \(0.265460\pi\) | |||||||
\(908\) | −3.73724 | + | 0.0652337i | −0.124025 | + | 0.00216486i | ||||
\(909\) | 22.5163 | − | 17.5916i | 0.746817 | − | 0.583478i | ||||
\(910\) | 29.9195 | − | 33.4043i | 0.991821 | − | 1.10734i | ||||
\(911\) | −3.59281 | − | 1.16737i | −0.119035 | − | 0.0386768i | 0.248894 | − | 0.968531i | \(-0.419933\pi\) |
−0.367929 | + | 0.929854i | \(0.619933\pi\) | |||||||
\(912\) | −0.00224505 | + | 0.00543020i | −7.43411e−5 | + | 0.000179812i | ||||
\(913\) | −1.68302 | + | 3.30312i | −0.0556999 | + | 0.109317i | ||||
\(914\) | −1.59400 | + | 0.996042i | −0.0527249 | + | 0.0329461i | ||||
\(915\) | 0.0217222 | + | 0.0156954i | 0.000718112 | + | 0.000518874i | ||||
\(916\) | 15.2924 | − | 8.13113i | 0.505276 | − | 0.268660i | ||||
\(917\) | −58.1700 | − | 20.0295i | −1.92094 | − | 0.661433i | ||||
\(918\) | −0.0108332 | − | 0.0232320i | −0.000357550 | − | 0.000766769i | ||||
\(919\) | 10.9030 | − | 24.4884i | 0.359655 | − | 0.807799i | −0.639581 | − | 0.768724i | \(-0.720892\pi\) |
0.999236 | − | 0.0390752i | \(-0.0124412\pi\) | |||||||
\(920\) | −7.01608 | + | 4.24071i | −0.231313 | + | 0.139812i | ||||
\(921\) | −0.0141210 | 0.000987437i | −0.000465303 | 3.25372e-5i | ||||||
\(922\) | 15.4453 | + | 13.4264i | 0.508664 | + | 0.442175i | ||||
\(923\) | −1.11151 | + | 21.2088i | −0.0365857 | + | 0.698096i | ||||
\(924\) | 0.00898686 | + | 0.0155657i | 0.000295646 | + | 0.000512074i | ||||
\(925\) | 33.8944 | + | 41.4112i | 1.11444 | + | 1.36159i | ||||
\(926\) | −14.6913 | − | 2.59048i | −0.482787 | − | 0.0851283i | ||||
\(927\) | −20.4621 | − | 27.1541i | −0.672063 | − | 0.891858i | ||||
\(928\) | 4.11665 | + | 7.42664i | 0.135136 | + | 0.243791i | ||||
\(929\) | 51.1145 | − | 12.7443i | 1.67701 | − | 0.418126i | 0.716773 | − | 0.697307i | \(-0.245618\pi\) |
0.960239 | + | 0.279181i | \(0.0900629\pi\) | |||||||
\(930\) | 0.0133451 | − | 0.00626546i | 0.000437602 | − | 0.000205453i | ||||
\(931\) | 4.71440 | − | 8.34556i | 0.154508 | − | 0.273515i | ||||
\(932\) | −6.83316 | + | 6.83316i | −0.223828 | + | 0.223828i | ||||
\(933\) | 0.00352426 | − | 0.00306360i | 0.000115379 | − | 0.000100298i | ||||
\(934\) | 8.40723 | + | 10.7608i | 0.275093 | + | 0.352103i | ||||
\(935\) | −13.7299 | − | 27.9645i | −0.449016 | − | 0.914539i | ||||
\(936\) | −17.5150 | − | 9.31288i | −0.572495 | − | 0.304401i | ||||
\(937\) | 3.78077 | + | 4.05438i | 0.123512 | + | 0.132451i | 0.790105 | − | 0.612971i | \(-0.210026\pi\) |
−0.666593 | + | 0.745422i | \(0.732248\pi\) | |||||||
\(938\) | 21.9770 | − | 1.15177i | 0.717576 | − | 0.0376066i | ||||
\(939\) | −0.00316560 | − | 0.00351575i | −0.000103305 | − | 0.000114732i | ||||
\(940\) | −1.81127 | − | 1.21483i | −0.0590770 | − | 0.0396235i | ||||
\(941\) | 7.47378 | − | 11.9605i | 0.243638 | − | 0.389903i | −0.703517 | − | 0.710679i | \(-0.748388\pi\) |
0.947155 | + | 0.320776i | \(0.103944\pi\) | |||||||
\(942\) | 0.00843914 | + | 0.00683388i | 0.000274962 | + | 0.000222660i | ||||
\(943\) | −31.2212 | − | 8.36571i | −1.01670 | − | 0.272425i | ||||
\(944\) | −7.78298 | + | 2.23173i | −0.253314 | + | 0.0726367i | ||||
\(945\) | −0.0529478 | + | 0.0143359i | −0.00172239 | + | 0.000466346i | ||||
\(946\) | 22.2719 | + | 10.8627i | 0.724122 | + | 0.353178i | ||||
\(947\) | 19.3264 | − | 10.7128i | 0.628025 | − | 0.348120i | −0.138473 | − | 0.990366i | \(-0.544220\pi\) |
0.766498 | + | 0.642246i | \(0.221997\pi\) | |||||||
\(948\) | 0.00943928 | + | 0.00217923i | 0.000306574 | + | 7.07781e-5i | ||||
\(949\) | −0.0861850 | −0.00279768 | ||||||||
\(950\) | −17.5958 | − | 12.8604i | −0.570882 | − | 0.417246i | ||||
\(951\) | 0.00297318 | 9.64119e−5 | ||||||||
\(952\) | −9.36587 | − | 2.16228i | −0.303550 | − | 0.0700799i | ||||
\(953\) | 1.45838 | − | 0.808393i | 0.0472415 | − | 0.0261864i | −0.461012 | − | 0.887394i | \(-0.652514\pi\) |
0.508254 | + | 0.861207i | \(0.330291\pi\) | |||||||
\(954\) | 15.2964 | + | 7.46057i | 0.495240 | + | 0.241545i | ||||
\(955\) | −16.8939 | + | 20.9742i | −0.546674 | + | 0.678709i | ||||
\(956\) | −2.85032 | + | 0.817317i | −0.0921861 | + | 0.0264339i | ||||
\(957\) | 0.0486055 | + | 0.0130238i | 0.00157119 | + | 0.000421000i | ||||
\(958\) | 23.1956 | + | 18.7834i | 0.749416 | + | 0.606865i | ||||
\(959\) | −30.2134 | + | 48.3516i | −0.975642 | + | 1.56135i | ||||
\(960\) | 0.000823277 | − | 0.00289971i | 2.65711e−5 | − | 9.35879e-5i | ||||
\(961\) | 4.73695 | + | 5.26091i | 0.152805 | + | 0.169707i | ||||
\(962\) | 70.6730 | − | 3.70382i | 2.27859 | − | 0.119416i | ||||
\(963\) | −39.9819 | − | 42.8753i | −1.28840 | − | 1.38164i | ||||
\(964\) | 23.5713 | + | 12.5331i | 0.759180 | + | 0.403663i | ||||
\(965\) | 10.0734 | − | 1.44261i | 0.324275 | − | 0.0464392i | ||||
\(966\) | 0.00922879 | + | 0.0118123i | 0.000296931 | + | 0.000380055i | ||||
\(967\) | 5.16927 | − | 4.49358i | 0.166233 | − | 0.144504i | −0.568952 | − | 0.822371i | \(-0.692651\pi\) |
0.735185 | + | 0.677867i | \(0.237095\pi\) | |||||||
\(968\) | 5.88693 | − | 5.88693i | 0.189213 | − | 0.189213i | ||||
\(969\) | −0.0175584 | − | 0.00620467i | −0.000564056 | − | 0.000199323i | ||||
\(970\) | 20.2602 | + | 3.88321i | 0.650516 | + | 0.124682i | ||||
\(971\) | 6.32784 | − | 1.57771i | 0.203070 | − | 0.0506310i | −0.139059 | − | 0.990284i | \(-0.544408\pi\) |
0.342129 | + | 0.939653i | \(0.388852\pi\) | |||||||
\(972\) | 0.0176457 | + | 0.0318337i | 0.000565986 | + | 0.00102107i | ||||
\(973\) | −2.06979 | − | 2.74670i | −0.0663543 | − | 0.0880551i | ||||
\(974\) | −9.75006 | − | 1.71920i | −0.312412 | − | 0.0550867i | ||||
\(975\) | −0.0296485 | + | 0.0332764i | −0.000949511 | + | 0.00106570i | ||||
\(976\) | −4.44532 | − | 7.69951i | −0.142291 | − | 0.246455i | ||||
\(977\) | −0.214262 | + | 4.08835i | −0.00685483 | + | 0.130798i | 0.993058 | + | 0.117623i | \(0.0375273\pi\) |
−0.999913 | + | 0.0131754i | \(0.995806\pi\) | |||||||
\(978\) | 0.0199802 | + | 0.0173685i | 0.000638897 | + | 0.000555385i | ||||
\(979\) | 11.3499 | − | 0.793666i | 0.362746 | − | 0.0253657i | ||||
\(980\) | −1.90940 | + | 4.53117i | −0.0609934 | + | 0.144743i | ||||
\(981\) | 23.6374 | − | 53.0904i | 0.754683 | − | 1.69505i | ||||
\(982\) | −15.1555 | − | 32.5010i | −0.483630 | − | 1.03715i | ||||
\(983\) | −39.5773 | − | 13.6276i | −1.26232 | − | 0.434652i | −0.388747 | − | 0.921344i | \(-0.627092\pi\) |
−0.873573 | + | 0.486692i | \(0.838203\pi\) | |||||||
\(984\) | 0.0104934 | − | 0.00557945i | 0.000334518 | − | 0.000177866i | ||||
\(985\) | 7.24092 | − | 22.4852i | 0.230715 | − | 0.716439i | ||||
\(986\) | −22.8217 | + | 14.2606i | −0.726791 | + | 0.454150i | ||||
\(987\) | −0.00181042 | + | 0.00355315i | −5.76264e−5 | + | 0.000113098i | ||||
\(988\) | −27.4827 | + | 8.68527i | −0.874341 | + | 0.276315i | ||||
\(989\) | 19.6548 | + | 6.38623i | 0.624986 | + | 0.203070i | ||||
\(990\) | 14.8116 | + | 25.5002i | 0.470743 | + | 0.810448i | ||||
\(991\) | −3.83934 | + | 2.99962i | −0.121961 | + | 0.0952861i | −0.674796 | − | 0.738005i | \(-0.735768\pi\) |
0.552835 | + | 0.833291i | \(0.313546\pi\) | |||||||
\(992\) | −4.89014 | + | 0.0853577i | −0.155262 | + | 0.00271011i | ||||
\(993\) | 0.00835752 | − | 0.00585200i | 0.000265218 | − | 0.000185708i | ||||
\(994\) | −2.68513 | − | 9.36417i | −0.0851672 | − | 0.297013i | ||||
\(995\) | −8.04311 | + | 26.5561i | −0.254984 | + | 0.841885i | ||||
\(996\) | −0.000462377 | − | 0.00103852i | −1.46510e−5 | − | 3.29067e-5i | ||||
\(997\) | 11.7922 | − | 13.5654i | 0.373463 | − | 0.429619i | −0.536763 | − | 0.843733i | \(-0.680353\pi\) |
0.910225 | + | 0.414114i | \(0.135908\pi\) | |||||||
\(998\) | −5.99494 | − | 2.54470i | −0.189766 | − | 0.0805510i | ||||
\(999\) | −0.0749690 | − | 0.0432834i | −0.00237191 | − | 0.00136943i |
(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 | 950.2.bi.a.3.13 | ✓ | 2400 | |
19.13 | odd | 18 | inner | 950.2.bi.a.203.38 | yes | 2400 | |
25.17 | odd | 20 | inner | 950.2.bi.a.117.38 | yes | 2400 | |
475.317 | even | 180 | inner | 950.2.bi.a.317.13 | yes | 2400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bi.a.3.13 | ✓ | 2400 | 1.1 | even | 1 | trivial | |
950.2.bi.a.117.38 | yes | 2400 | 25.17 | odd | 20 | inner | |
950.2.bi.a.203.38 | yes | 2400 | 19.13 | odd | 18 | inner | |
950.2.bi.a.317.13 | yes | 2400 | 475.317 | even | 180 | inner |