Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(5,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.bf (of order \(18\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.16 | ||
Character | \(\chi\) | \(=\) | 378.101 |
Dual form | 378.2.bf.a.131.16 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | − | 0.766044i | 0.454519 | − | 0.541675i | ||||
\(3\) | −1.15279 | − | 1.29270i | −0.665565 | − | 0.746340i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | −2.20580 | + | 1.85089i | −0.986465 | + | 0.827743i | −0.985052 | − | 0.172256i | \(-0.944894\pi\) |
−0.00141321 | + | 0.999999i | \(0.500450\pi\) | |||||||
\(6\) | −1.73127 | + | 0.0521605i | −0.706786 | + | 0.0212944i | ||||
\(7\) | −0.418844 | + | 2.61239i | −0.158308 | + | 0.987390i | ||||
\(8\) | −0.866025 | − | 0.500000i | −0.306186 | − | 0.176777i | ||||
\(9\) | −0.342136 | + | 2.98043i | −0.114045 | + | 0.993476i | ||||
\(10\) | 2.87947i | 0.910569i | ||||||||
\(11\) | −0.544631 | + | 0.649066i | −0.164212 | + | 0.195701i | −0.841876 | − | 0.539672i | \(-0.818548\pi\) |
0.677663 | + | 0.735373i | \(0.262993\pi\) | |||||||
\(12\) | −1.07288 | + | 1.35975i | −0.309713 | + | 0.392527i | ||||
\(13\) | 0.238650 | − | 0.655686i | 0.0661896 | − | 0.181854i | −0.902188 | − | 0.431342i | \(-0.858040\pi\) |
0.968378 | + | 0.249488i | \(0.0802623\pi\) | |||||||
\(14\) | 1.73198 | + | 2.00006i | 0.462890 | + | 0.534539i | ||||
\(15\) | 4.93548 | + | 0.717746i | 1.27433 | + | 0.185321i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −5.45954 | −1.32413 | −0.662066 | − | 0.749445i | \(-0.730320\pi\) | ||||
−0.662066 | + | 0.749445i | \(0.730320\pi\) | |||||||
\(18\) | 2.06322 | + | 2.17787i | 0.486305 | + | 0.513330i | ||||
\(19\) | 6.31121i | 1.44789i | 0.689857 | + | 0.723946i | \(0.257673\pi\) | ||||
−0.689857 | + | 0.723946i | \(0.742327\pi\) | |||||||
\(20\) | 2.20580 | + | 1.85089i | 0.493233 | + | 0.413871i | ||||
\(21\) | 3.85987 | − | 2.47010i | 0.842292 | − | 0.539021i | ||||
\(22\) | 0.147131 | + | 0.834423i | 0.0313685 | + | 0.177900i | ||||
\(23\) | 0.690989 | − | 1.89848i | 0.144081 | − | 0.395860i | −0.846570 | − | 0.532277i | \(-0.821337\pi\) |
0.990651 | + | 0.136417i | \(0.0435588\pi\) | |||||||
\(24\) | 0.351999 | + | 1.69591i | 0.0718515 | + | 0.346175i | ||||
\(25\) | 0.571539 | − | 3.24136i | 0.114308 | − | 0.648271i | ||||
\(26\) | −0.348883 | − | 0.604283i | −0.0684216 | − | 0.118510i | ||||
\(27\) | 4.24720 | − | 2.99354i | 0.817375 | − | 0.576106i | ||||
\(28\) | 2.64543 | − | 0.0411558i | 0.499940 | − | 0.00777772i | ||||
\(29\) | 1.22071 | + | 3.35389i | 0.226681 | + | 0.622801i | 0.999936 | − | 0.0112939i | \(-0.00359505\pi\) |
−0.773255 | + | 0.634095i | \(0.781373\pi\) | |||||||
\(30\) | 3.72229 | − | 3.31944i | 0.679594 | − | 0.606043i | ||||
\(31\) | −1.81893 | + | 0.320726i | −0.326689 | + | 0.0576041i | −0.334587 | − | 0.942365i | \(-0.608597\pi\) |
0.00789842 | + | 0.999969i | \(0.497486\pi\) | |||||||
\(32\) | −0.342020 | + | 0.939693i | −0.0604612 | + | 0.166116i | ||||
\(33\) | 1.46689 | − | 0.0441953i | 0.255353 | − | 0.00769342i | ||||
\(34\) | −3.50932 | + | 4.18225i | −0.601844 | + | 0.717250i | ||||
\(35\) | −3.91135 | − | 6.53765i | −0.661139 | − | 1.10506i | ||||
\(36\) | 2.99456 | − | 0.180607i | 0.499093 | − | 0.0301012i | ||||
\(37\) | 4.14473 | − | 7.17888i | 0.681389 | − | 1.18020i | −0.293168 | − | 0.956061i | \(-0.594709\pi\) |
0.974557 | − | 0.224140i | \(-0.0719572\pi\) | |||||||
\(38\) | 4.83467 | + | 4.05677i | 0.784287 | + | 0.658095i | ||||
\(39\) | −1.12272 | + | 0.447367i | −0.179779 | + | 0.0716361i | ||||
\(40\) | 2.83573 | − | 0.500015i | 0.448368 | − | 0.0790593i | ||||
\(41\) | −9.58069 | − | 3.48709i | −1.49625 | − | 0.544591i | −0.541165 | − | 0.840916i | \(-0.682017\pi\) |
−0.955087 | + | 0.296325i | \(0.904239\pi\) | |||||||
\(42\) | 0.588866 | − | 4.54458i | 0.0908640 | − | 0.701244i | ||||
\(43\) | −1.22118 | + | 6.92563i | −0.186227 | + | 1.05615i | 0.738141 | + | 0.674647i | \(0.235704\pi\) |
−0.924368 | + | 0.381502i | \(0.875407\pi\) | |||||||
\(44\) | 0.733780 | + | 0.423648i | 0.110621 | + | 0.0638673i | ||||
\(45\) | −4.76175 | − | 7.20749i | −0.709840 | − | 1.07443i | ||||
\(46\) | −1.01016 | − | 1.74964i | −0.148940 | − | 0.257971i | ||||
\(47\) | −1.46559 | + | 8.31176i | −0.213778 | + | 1.21239i | 0.669237 | + | 0.743049i | \(0.266621\pi\) |
−0.883015 | + | 0.469345i | \(0.844490\pi\) | |||||||
\(48\) | 1.52540 | + | 0.820460i | 0.220173 | + | 0.118423i | ||||
\(49\) | −6.64914 | − | 2.18836i | −0.949877 | − | 0.312624i | ||||
\(50\) | −2.11565 | − | 2.52133i | −0.299197 | − | 0.356570i | ||||
\(51\) | 6.29372 | + | 7.05753i | 0.881297 | + | 0.988252i | ||||
\(52\) | −0.687165 | − | 0.121166i | −0.0952927 | − | 0.0168027i | ||||
\(53\) | −4.75666 | − | 2.74626i | −0.653378 | − | 0.377228i | 0.136371 | − | 0.990658i | \(-0.456456\pi\) |
−0.789749 | + | 0.613430i | \(0.789789\pi\) | |||||||
\(54\) | 0.436868 | − | 5.17775i | 0.0594502 | − | 0.704603i | ||||
\(55\) | − | 2.43976i | − | 0.328978i | ||||||
\(56\) | 1.66892 | − | 2.05297i | 0.223019 | − | 0.274340i | ||||
\(57\) | 8.15849 | − | 7.27552i | 1.08062 | − | 0.963667i | ||||
\(58\) | 3.35389 | + | 1.22071i | 0.440387 | + | 0.160288i | ||||
\(59\) | −2.80234 | − | 1.01997i | −0.364834 | − | 0.132789i | 0.153097 | − | 0.988211i | \(-0.451075\pi\) |
−0.517931 | + | 0.855422i | \(0.673298\pi\) | |||||||
\(60\) | −0.150195 | − | 4.98513i | −0.0193900 | − | 0.643578i | ||||
\(61\) | 1.14069 | + | 0.201135i | 0.146051 | + | 0.0257527i | 0.246195 | − | 0.969220i | \(-0.420819\pi\) |
−0.100145 | + | 0.994973i | \(0.531931\pi\) | |||||||
\(62\) | −0.923494 | + | 1.59954i | −0.117284 | + | 0.203141i | ||||
\(63\) | −7.64273 | − | 2.14213i | −0.962893 | − | 0.269882i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 0.687186 | + | 1.88803i | 0.0852349 | + | 0.234181i | ||||
\(66\) | 0.909045 | − | 1.15211i | 0.111896 | − | 0.141815i | ||||
\(67\) | 5.87675 | − | 4.93118i | 0.717959 | − | 0.602440i | −0.208861 | − | 0.977945i | \(-0.566975\pi\) |
0.926820 | + | 0.375506i | \(0.122531\pi\) | |||||||
\(68\) | 0.948039 | + | 5.37659i | 0.114967 | + | 0.652008i | ||||
\(69\) | −3.25072 | + | 1.29531i | −0.391341 | + | 0.155937i | ||||
\(70\) | −7.52230 | − | 1.20605i | −0.899087 | − | 0.144150i | ||||
\(71\) | −10.1727 | + | 5.87322i | −1.20728 | + | 0.697023i | −0.962164 | − | 0.272471i | \(-0.912159\pi\) |
−0.245115 | + | 0.969494i | \(0.578826\pi\) | |||||||
\(72\) | 1.78651 | − | 2.41006i | 0.210542 | − | 0.284028i | ||||
\(73\) | −4.33894 | + | 2.50509i | −0.507835 | + | 0.293199i | −0.731943 | − | 0.681366i | \(-0.761386\pi\) |
0.224108 | + | 0.974564i | \(0.428053\pi\) | |||||||
\(74\) | −2.83516 | − | 7.78954i | −0.329581 | − | 0.905516i | ||||
\(75\) | −4.84896 | + | 2.99779i | −0.559910 | + | 0.346155i | ||||
\(76\) | 6.21533 | − | 1.09593i | 0.712947 | − | 0.125712i | ||||
\(77\) | −1.46750 | − | 1.69465i | −0.167237 | − | 0.193123i | ||||
\(78\) | −0.378966 | + | 1.14761i | −0.0429094 | + | 0.129942i | ||||
\(79\) | 6.80006 | + | 5.70593i | 0.765066 | + | 0.641967i | 0.939440 | − | 0.342713i | \(-0.111346\pi\) |
−0.174374 | + | 0.984680i | \(0.555790\pi\) | |||||||
\(80\) | 1.43974 | − | 2.49370i | 0.160967 | − | 0.278804i | ||||
\(81\) | −8.76589 | − | 2.03942i | −0.973987 | − | 0.226603i | ||||
\(82\) | −8.82961 | + | 5.09778i | −0.975068 | + | 0.562956i | ||||
\(83\) | −2.72190 | + | 0.990692i | −0.298768 | + | 0.108743i | −0.487055 | − | 0.873372i | \(-0.661929\pi\) |
0.188287 | + | 0.982114i | \(0.439707\pi\) | |||||||
\(84\) | −3.10284 | − | 3.37230i | −0.338547 | − | 0.367948i | ||||
\(85\) | 12.0427 | − | 10.1050i | 1.30621 | − | 1.09604i | ||||
\(86\) | 4.52038 | + | 5.38718i | 0.487445 | + | 0.580915i | ||||
\(87\) | 2.92833 | − | 5.44435i | 0.313950 | − | 0.583696i | ||||
\(88\) | 0.796198 | − | 0.289792i | 0.0848749 | − | 0.0308920i | ||||
\(89\) | 0.134208 | 0.0142260 | 0.00711299 | − | 0.999975i | \(-0.497736\pi\) | ||||
0.00711299 | + | 0.999975i | \(0.497736\pi\) | |||||||
\(90\) | −8.58206 | − | 0.985172i | −0.904628 | − | 0.103846i | ||||
\(91\) | 1.61295 | + | 0.898076i | 0.169083 | + | 0.0941440i | ||||
\(92\) | −1.98962 | − | 0.350824i | −0.207432 | − | 0.0365759i | ||||
\(93\) | 2.51145 | + | 1.98159i | 0.260425 | + | 0.205482i | ||||
\(94\) | 5.42511 | + | 6.46540i | 0.559558 | + | 0.666855i | ||||
\(95\) | −11.6814 | − | 13.9213i | −1.19848 | − | 1.42829i | ||||
\(96\) | 1.60902 | − | 0.641142i | 0.164220 | − | 0.0654363i | ||||
\(97\) | 11.1785 | + | 1.97107i | 1.13500 | + | 0.200132i | 0.709419 | − | 0.704787i | \(-0.248957\pi\) |
0.425585 | + | 0.904919i | \(0.360068\pi\) | |||||||
\(98\) | −5.95037 | + | 3.68688i | −0.601078 | + | 0.372431i | ||||
\(99\) | −1.74816 | − | 1.84530i | −0.175696 | − | 0.185460i | ||||
\(100\) | −3.29136 | −0.329136 | ||||||||
\(101\) | 18.2653 | − | 6.64804i | 1.81747 | − | 0.661504i | 0.821666 | − | 0.569969i | \(-0.193045\pi\) |
0.995802 | − | 0.0915357i | \(-0.0291776\pi\) | |||||||
\(102\) | 9.45191 | − | 0.284772i | 0.935878 | − | 0.0281966i | ||||
\(103\) | −2.90681 | − | 3.46420i | −0.286416 | − | 0.341338i | 0.603582 | − | 0.797301i | \(-0.293739\pi\) |
−0.889999 | + | 0.455963i | \(0.849295\pi\) | |||||||
\(104\) | −0.534520 | + | 0.448515i | −0.0524140 | + | 0.0439805i | ||||
\(105\) | −3.94222 | + | 12.5928i | −0.384722 | + | 1.22893i | ||||
\(106\) | −5.16128 | + | 1.87855i | −0.501308 | + | 0.182461i | ||||
\(107\) | 15.3170 | − | 8.84326i | 1.48075 | − | 0.854910i | 0.480986 | − | 0.876728i | \(-0.340279\pi\) |
0.999762 | + | 0.0218180i | \(0.00694545\pi\) | |||||||
\(108\) | −3.68558 | − | 3.66286i | −0.354645 | − | 0.352459i | ||||
\(109\) | 3.43719 | − | 5.95338i | 0.329223 | − | 0.570230i | −0.653135 | − | 0.757241i | \(-0.726547\pi\) |
0.982358 | + | 0.187011i | \(0.0598800\pi\) | |||||||
\(110\) | −1.86897 | − | 1.56825i | −0.178199 | − | 0.149527i | ||||
\(111\) | −14.0581 | + | 2.91788i | −1.33434 | + | 0.276953i | ||||
\(112\) | −0.499905 | − | 2.59809i | −0.0472366 | − | 0.245497i | ||||
\(113\) | 1.10879 | − | 0.195509i | 0.104306 | − | 0.0183920i | −0.121251 | − | 0.992622i | \(-0.538691\pi\) |
0.225558 | + | 0.974230i | \(0.427580\pi\) | |||||||
\(114\) | −0.329196 | − | 10.9264i | −0.0308320 | − | 1.02335i | ||||
\(115\) | 1.98968 | + | 5.46661i | 0.185539 | + | 0.509764i | ||||
\(116\) | 3.09096 | − | 1.78457i | 0.286988 | − | 0.165693i | ||||
\(117\) | 1.87257 | + | 0.935613i | 0.173119 | + | 0.0864974i | ||||
\(118\) | −2.58265 | + | 1.49110i | −0.237753 | + | 0.137267i | ||||
\(119\) | 2.28669 | − | 14.2624i | 0.209621 | − | 1.30743i | ||||
\(120\) | −3.91537 | − | 3.08932i | −0.357423 | − | 0.282015i | ||||
\(121\) | 1.78547 | + | 10.1259i | 0.162315 | + | 0.920535i | ||||
\(122\) | 0.887301 | − | 0.744534i | 0.0803324 | − | 0.0674069i | ||||
\(123\) | 6.53681 | + | 16.4048i | 0.589404 | + | 1.47917i | ||||
\(124\) | 0.631707 | + | 1.73560i | 0.0567289 | + | 0.155861i | ||||
\(125\) | −2.45999 | − | 4.26083i | −0.220028 | − | 0.381100i | ||||
\(126\) | −6.55361 | + | 4.47774i | −0.583842 | + | 0.398909i | ||||
\(127\) | −8.54505 | + | 14.8005i | −0.758250 | + | 1.31333i | 0.185492 | + | 0.982646i | \(0.440612\pi\) |
−0.943742 | + | 0.330682i | \(0.892721\pi\) | |||||||
\(128\) | 0.984808 | + | 0.173648i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 10.3605 | − | 6.40521i | 0.912192 | − | 0.563947i | ||||
\(130\) | 1.88803 | + | 0.687186i | 0.165591 | + | 0.0602702i | ||||
\(131\) | 15.7720 | + | 5.74053i | 1.37800 | + | 0.501553i | 0.921573 | − | 0.388206i | \(-0.126905\pi\) |
0.456432 | + | 0.889758i | \(0.349127\pi\) | |||||||
\(132\) | −0.298247 | − | 1.43693i | −0.0259591 | − | 0.125069i | ||||
\(133\) | −16.4873 | − | 2.64341i | −1.42963 | − | 0.229213i | ||||
\(134\) | − | 7.67155i | − | 0.662721i | ||||||
\(135\) | −3.82779 | + | 14.4643i | −0.329444 | + | 1.24488i | ||||
\(136\) | 4.72810 | + | 2.72977i | 0.405431 | + | 0.234076i | ||||
\(137\) | 3.72005 | + | 0.655945i | 0.317825 | + | 0.0560411i | 0.330285 | − | 0.943881i | \(-0.392855\pi\) |
−0.0124600 | + | 0.999922i | \(0.503966\pi\) | |||||||
\(138\) | −1.09726 | + | 3.32281i | −0.0934049 | + | 0.282856i | ||||
\(139\) | 14.8502 | + | 17.6977i | 1.25957 | + | 1.50110i | 0.783076 | + | 0.621926i | \(0.213649\pi\) |
0.476497 | + | 0.879176i | \(0.341906\pi\) | |||||||
\(140\) | −5.75913 | + | 4.98718i | −0.486735 | + | 0.421494i | ||||
\(141\) | 12.4341 | − | 7.68717i | 1.04714 | − | 0.647377i | ||||
\(142\) | −2.03975 | + | 11.5680i | −0.171172 | + | 0.970764i | ||||
\(143\) | 0.295607 | + | 0.512006i | 0.0247199 | + | 0.0428161i | ||||
\(144\) | −0.697863 | − | 2.91770i | −0.0581553 | − | 0.243142i | ||||
\(145\) | −8.90033 | − | 5.13861i | −0.739132 | − | 0.426738i | ||||
\(146\) | −0.870009 | + | 4.93407i | −0.0720025 | + | 0.408346i | ||||
\(147\) | 4.83619 | + | 11.1181i | 0.398882 | + | 0.917002i | ||||
\(148\) | −7.78954 | − | 2.83516i | −0.640296 | − | 0.233049i | ||||
\(149\) | −19.5650 | + | 3.44983i | −1.60282 | + | 0.282621i | −0.902333 | − | 0.431040i | \(-0.858147\pi\) |
−0.700491 | + | 0.713661i | \(0.747036\pi\) | |||||||
\(150\) | −0.820414 | + | 5.64146i | −0.0669865 | + | 0.460623i | ||||
\(151\) | −5.48506 | − | 4.60251i | −0.446368 | − | 0.374547i | 0.391718 | − | 0.920085i | \(-0.371881\pi\) |
−0.838086 | + | 0.545538i | \(0.816325\pi\) | |||||||
\(152\) | 3.15561 | − | 5.46567i | 0.255953 | − | 0.443324i | ||||
\(153\) | 1.86791 | − | 16.2718i | 0.151011 | − | 1.31549i | ||||
\(154\) | −2.24146 | + | 0.0348712i | −0.180622 | + | 0.00281000i | ||||
\(155\) | 3.41857 | − | 4.07409i | 0.274586 | − | 0.327239i | ||||
\(156\) | 0.635529 | + | 1.02798i | 0.0508830 | + | 0.0823040i | ||||
\(157\) | 7.64042 | − | 20.9919i | 0.609772 | − | 1.67534i | −0.120949 | − | 0.992659i | \(-0.538594\pi\) |
0.730721 | − | 0.682676i | \(-0.239184\pi\) | |||||||
\(158\) | 8.74199 | − | 1.54145i | 0.695475 | − | 0.122631i | ||||
\(159\) | 1.93336 | + | 9.31480i | 0.153326 | + | 0.738712i | ||||
\(160\) | −0.984837 | − | 2.70582i | −0.0778582 | − | 0.213914i | ||||
\(161\) | 4.67014 | + | 2.60029i | 0.368058 | + | 0.204932i | ||||
\(162\) | −7.19689 | + | 5.40414i | −0.565441 | + | 0.424589i | ||||
\(163\) | −11.0905 | − | 19.2093i | −0.868675 | − | 1.50459i | −0.863351 | − | 0.504604i | \(-0.831639\pi\) |
−0.00532420 | − | 0.999986i | \(-0.501695\pi\) | |||||||
\(164\) | −1.77044 | + | 10.0407i | −0.138248 | + | 0.784044i | ||||
\(165\) | −3.15388 | + | 2.81254i | −0.245529 | + | 0.218956i | ||||
\(166\) | −0.990692 | + | 2.72190i | −0.0768926 | + | 0.211261i | ||||
\(167\) | −0.343086 | − | 1.94574i | −0.0265488 | − | 0.150566i | 0.968652 | − | 0.248423i | \(-0.0799122\pi\) |
−0.995200 | + | 0.0978573i | \(0.968801\pi\) | |||||||
\(168\) | −4.57780 | + | 0.209239i | −0.353185 | + | 0.0161431i | ||||
\(169\) | 9.58561 | + | 8.04328i | 0.737354 | + | 0.618714i | ||||
\(170\) | − | 15.7206i | − | 1.20571i | ||||||
\(171\) | −18.8101 | − | 2.15929i | −1.43844 | − | 0.165125i | ||||
\(172\) | 7.03247 | 0.536221 | ||||||||
\(173\) | 6.37929 | − | 2.32187i | 0.485008 | − | 0.176529i | −0.0879307 | − | 0.996127i | \(-0.528025\pi\) |
0.572939 | + | 0.819598i | \(0.305803\pi\) | |||||||
\(174\) | −2.28832 | − | 5.74279i | −0.173477 | − | 0.435360i | ||||
\(175\) | 8.22830 | + | 2.85070i | 0.622001 | + | 0.215493i | ||||
\(176\) | 0.289792 | − | 0.796198i | 0.0218439 | − | 0.0600156i | ||||
\(177\) | 1.91201 | + | 4.79840i | 0.143715 | + | 0.360670i | ||||
\(178\) | 0.0862670 | − | 0.102809i | 0.00646599 | − | 0.00770586i | ||||
\(179\) | 20.3412i | 1.52037i | 0.649707 | + | 0.760185i | \(0.274892\pi\) | ||||
−0.649707 | + | 0.760185i | \(0.725108\pi\) | |||||||
\(180\) | −6.27112 | + | 5.94098i | −0.467422 | + | 0.442814i | ||||
\(181\) | −1.84746 | − | 1.06663i | −0.137321 | − | 0.0792822i | 0.429766 | − | 0.902940i | \(-0.358596\pi\) |
−0.567086 | + | 0.823658i | \(0.691929\pi\) | |||||||
\(182\) | 1.72475 | − | 0.658317i | 0.127847 | − | 0.0487977i | ||||
\(183\) | −1.05498 | − | 1.70644i | −0.0779860 | − | 0.126143i | ||||
\(184\) | −1.54765 | + | 1.29863i | −0.114094 | + | 0.0957365i | ||||
\(185\) | 4.14485 | + | 23.5066i | 0.304736 | + | 1.72824i | ||||
\(186\) | 3.13232 | − | 0.650138i | 0.229673 | − | 0.0476704i | ||||
\(187\) | 2.97343 | − | 3.54360i | 0.217439 | − | 0.259134i | ||||
\(188\) | 8.43998 | 0.615549 | ||||||||
\(189\) | 6.04136 | + | 12.3492i | 0.439444 | + | 0.898270i | ||||
\(190\) | −18.1730 | −1.31841 | ||||||||
\(191\) | −4.53498 | + | 5.40458i | −0.328140 | + | 0.391062i | −0.904740 | − | 0.425965i | \(-0.859935\pi\) |
0.576600 | + | 0.817027i | \(0.304379\pi\) | |||||||
\(192\) | 0.543113 | − | 1.64470i | 0.0391958 | − | 0.118696i | ||||
\(193\) | 1.24979 | + | 7.08790i | 0.0899617 | + | 0.510198i | 0.996175 | + | 0.0873779i | \(0.0278488\pi\) |
−0.906214 | + | 0.422820i | \(0.861040\pi\) | |||||||
\(194\) | 8.69532 | − | 7.29624i | 0.624288 | − | 0.523840i | ||||
\(195\) | 1.64847 | − | 3.06483i | 0.118049 | − | 0.219477i | ||||
\(196\) | −1.00051 | + | 6.92813i | −0.0714648 | + | 0.494866i | ||||
\(197\) | 11.3468 | + | 6.55106i | 0.808424 | + | 0.466744i | 0.846408 | − | 0.532534i | \(-0.178760\pi\) |
−0.0379841 | + | 0.999278i | \(0.512094\pi\) | |||||||
\(198\) | −2.53728 | + | 0.153028i | −0.180316 | + | 0.0108752i | ||||
\(199\) | − | 9.82941i | − | 0.696788i | −0.937348 | − | 0.348394i | \(-0.886727\pi\) | ||
0.937348 | − | 0.348394i | \(-0.113273\pi\) | |||||||
\(200\) | −2.11565 | + | 2.52133i | −0.149599 | + | 0.178285i | ||||
\(201\) | −13.1492 | − | 1.91223i | −0.927473 | − | 0.134879i | ||||
\(202\) | 6.64804 | − | 18.2653i | 0.467754 | − | 1.28514i | ||||
\(203\) | −9.27294 | + | 1.78423i | −0.650833 | + | 0.125228i | ||||
\(204\) | 5.85742 | − | 7.42363i | 0.410101 | − | 0.519758i | ||||
\(205\) | 27.5873 | − | 10.0410i | 1.92678 | − | 0.701292i | ||||
\(206\) | −4.52219 | −0.315076 | ||||||||
\(207\) | 5.42185 | + | 2.70898i | 0.376845 | + | 0.188287i | ||||
\(208\) | 0.697766i | 0.0483814i | ||||||||
\(209\) | −4.09640 | − | 3.43728i | −0.283354 | − | 0.237762i | ||||
\(210\) | 7.11260 | + | 11.1144i | 0.490816 | + | 0.766965i | ||||
\(211\) | 0.782150 | + | 4.43579i | 0.0538454 | + | 0.305372i | 0.999822 | − | 0.0188622i | \(-0.00600438\pi\) |
−0.945977 | + | 0.324235i | \(0.894893\pi\) | |||||||
\(212\) | −1.87855 | + | 5.16128i | −0.129020 | + | 0.354478i | ||||
\(213\) | 19.3193 | + | 6.37964i | 1.32374 | + | 0.437126i | ||||
\(214\) | 3.07123 | − | 17.4178i | 0.209945 | − | 1.19066i | ||||
\(215\) | −10.1249 | − | 17.5368i | −0.690512 | − | 1.19600i | ||||
\(216\) | −5.17495 | + | 0.468877i | −0.352111 | + | 0.0319030i | ||||
\(217\) | −0.0760143 | − | 4.88608i | −0.00516018 | − | 0.331689i | ||||
\(218\) | −2.35117 | − | 6.45980i | −0.159242 | − | 0.437513i | ||||
\(219\) | 8.24023 | + | 2.72109i | 0.556823 | + | 0.183874i | ||||
\(220\) | −2.40270 | + | 0.423661i | −0.161990 | + | 0.0285632i | ||||
\(221\) | −1.30292 | + | 3.57974i | −0.0876438 | + | 0.240799i | ||||
\(222\) | −6.80117 | + | 12.6447i | −0.456465 | + | 0.848659i | ||||
\(223\) | −10.9462 | + | 13.0452i | −0.733011 | + | 0.873568i | −0.995825 | − | 0.0912780i | \(-0.970905\pi\) |
0.262815 | + | 0.964846i | \(0.415349\pi\) | |||||||
\(224\) | −2.31159 | − | 1.28707i | −0.154450 | − | 0.0859962i | ||||
\(225\) | 9.46508 | + | 2.81241i | 0.631005 | + | 0.187494i | ||||
\(226\) | 0.562947 | − | 0.975053i | 0.0374467 | − | 0.0648596i | ||||
\(227\) | 16.9082 | + | 14.1877i | 1.12224 | + | 0.941669i | 0.998715 | − | 0.0506723i | \(-0.0161364\pi\) |
0.123523 | + | 0.992342i | \(0.460581\pi\) | |||||||
\(228\) | −8.58170 | − | 6.77117i | −0.568337 | − | 0.448431i | ||||
\(229\) | −26.9940 | + | 4.75977i | −1.78381 | + | 0.314534i | −0.965532 | − | 0.260283i | \(-0.916184\pi\) |
−0.818281 | + | 0.574818i | \(0.805073\pi\) | |||||||
\(230\) | 5.46661 | + | 1.98968i | 0.360457 | + | 0.131196i | ||||
\(231\) | −0.498944 | + | 3.85061i | −0.0328281 | + | 0.253351i | ||||
\(232\) | 0.619773 | − | 3.51491i | 0.0406901 | − | 0.230765i | ||||
\(233\) | 7.23798 | + | 4.17885i | 0.474176 | + | 0.273766i | 0.717986 | − | 0.696057i | \(-0.245064\pi\) |
−0.243810 | + | 0.969823i | \(0.578397\pi\) | |||||||
\(234\) | 1.92039 | − | 0.833073i | 0.125540 | − | 0.0544597i | ||||
\(235\) | −12.1513 | − | 21.0467i | −0.792666 | − | 1.37294i | ||||
\(236\) | −0.517852 | + | 2.93689i | −0.0337093 | + | 0.191175i | ||||
\(237\) | −0.463020 | − | 15.3682i | −0.0300764 | − | 0.998270i | ||||
\(238\) | −9.45580 | − | 10.9194i | −0.612928 | − | 0.707801i | ||||
\(239\) | −11.2220 | − | 13.3739i | −0.725893 | − | 0.865086i | 0.269296 | − | 0.963058i | \(-0.413209\pi\) |
−0.995189 | + | 0.0979714i | \(0.968765\pi\) | |||||||
\(240\) | −4.88331 | + | 1.01357i | −0.315217 | + | 0.0654258i | ||||
\(241\) | −23.0052 | − | 4.05644i | −1.48189 | − | 0.261298i | −0.626560 | − | 0.779373i | \(-0.715538\pi\) |
−0.855335 | + | 0.518075i | \(0.826649\pi\) | |||||||
\(242\) | 8.90455 | + | 5.14104i | 0.572406 | + | 0.330479i | ||||
\(243\) | 7.46889 | + | 13.6827i | 0.479130 | + | 0.877744i | ||||
\(244\) | − | 1.15829i | − | 0.0741519i | ||||||
\(245\) | 18.7171 | − | 7.47972i | 1.19579 | − | 0.477862i | ||||
\(246\) | 16.7686 | + | 5.53734i | 1.06913 | + | 0.353048i | ||||
\(247\) | 4.13817 | + | 1.50617i | 0.263306 | + | 0.0958354i | ||||
\(248\) | 1.73560 | + | 0.631707i | 0.110211 | + | 0.0401134i | ||||
\(249\) | 4.41846 | + | 2.37654i | 0.280008 | + | 0.150607i | ||||
\(250\) | −4.84524 | − | 0.854346i | −0.306440 | − | 0.0540336i | ||||
\(251\) | −12.6891 | + | 21.9781i | −0.800927 | + | 1.38725i | 0.118079 | + | 0.993004i | \(0.462326\pi\) |
−0.919006 | + | 0.394243i | \(0.871007\pi\) | |||||||
\(252\) | −0.782436 | + | 7.89859i | −0.0492888 | + | 0.497565i | ||||
\(253\) | 0.855902 | + | 1.48247i | 0.0538101 | + | 0.0932019i | ||||
\(254\) | 5.84516 | + | 16.0594i | 0.366758 | + | 1.00766i | ||||
\(255\) | −26.9454 | − | 3.91856i | −1.68739 | − | 0.245390i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 4.23545 | + | 24.0204i | 0.264200 | + | 1.49835i | 0.771303 | + | 0.636468i | \(0.219605\pi\) |
−0.507103 | + | 0.861886i | \(0.669284\pi\) | |||||||
\(258\) | 1.75293 | − | 12.0538i | 0.109133 | − | 0.750437i | ||||
\(259\) | 17.0180 | + | 13.8345i | 1.05745 | + | 0.859632i | ||||
\(260\) | 1.74002 | − | 1.00460i | 0.107911 | − | 0.0623026i | ||||
\(261\) | −10.4137 | + | 2.49076i | −0.644589 | + | 0.154174i | ||||
\(262\) | 14.5355 | − | 8.39210i | 0.898009 | − | 0.518465i | ||||
\(263\) | 1.98144 | + | 5.44397i | 0.122181 | + | 0.335690i | 0.985672 | − | 0.168675i | \(-0.0539489\pi\) |
−0.863491 | + | 0.504365i | \(0.831727\pi\) | |||||||
\(264\) | −1.29246 | − | 0.695173i | −0.0795457 | − | 0.0427849i | ||||
\(265\) | 15.5753 | − | 2.74634i | 0.956782 | − | 0.168707i | ||||
\(266\) | −12.6228 | + | 10.9309i | −0.773955 | + | 0.670215i | ||||
\(267\) | −0.154714 | − | 0.173490i | −0.00946832 | − | 0.0106174i | ||||
\(268\) | −5.87675 | − | 4.93118i | −0.358980 | − | 0.301220i | ||||
\(269\) | −8.30029 | + | 14.3765i | −0.506077 | + | 0.876552i | 0.493898 | + | 0.869520i | \(0.335572\pi\) |
−0.999975 | + | 0.00703187i | \(0.997762\pi\) | |||||||
\(270\) | 8.61980 | + | 12.2297i | 0.524585 | + | 0.744276i | ||||
\(271\) | 12.4540 | − | 7.19030i | 0.756524 | − | 0.436780i | −0.0715221 | − | 0.997439i | \(-0.522786\pi\) |
0.828046 | + | 0.560659i | \(0.189452\pi\) | |||||||
\(272\) | 5.13029 | − | 1.86727i | 0.311069 | − | 0.113220i | ||||
\(273\) | −0.698454 | − | 3.12035i | −0.0422723 | − | 0.188852i | ||||
\(274\) | 2.89368 | − | 2.42809i | 0.174814 | − | 0.146686i | ||||
\(275\) | 1.79258 | + | 2.13631i | 0.108096 | + | 0.128824i | ||||
\(276\) | 1.84011 | + | 2.97641i | 0.110762 | + | 0.179159i | ||||
\(277\) | −25.6879 | + | 9.34964i | −1.54344 | + | 0.561765i | −0.966867 | − | 0.255282i | \(-0.917832\pi\) |
−0.576571 | + | 0.817047i | \(0.695609\pi\) | |||||||
\(278\) | 23.1027 | 1.38561 | ||||||||
\(279\) | −0.333579 | − | 5.53091i | −0.0199709 | − | 0.331127i | ||||
\(280\) | 0.118507 | + | 7.61745i | 0.00708215 | + | 0.455229i | ||||
\(281\) | 0.0327715 | + | 0.00577851i | 0.00195499 | + | 0.000344717i | 0.174626 | − | 0.984635i | \(-0.444128\pi\) |
−0.172671 | + | 0.984980i | \(0.555240\pi\) | |||||||
\(282\) | 2.10377 | − | 14.4663i | 0.125278 | − | 0.861456i | ||||
\(283\) | −1.52144 | − | 1.81318i | −0.0904403 | − | 0.107783i | 0.718926 | − | 0.695086i | \(-0.244634\pi\) |
−0.809367 | + | 0.587304i | \(0.800189\pi\) | |||||||
\(284\) | 7.55046 | + | 8.99829i | 0.448038 | + | 0.533950i | ||||
\(285\) | −4.52985 | + | 31.1488i | −0.268325 | + | 1.84510i | ||||
\(286\) | 0.582232 | + | 0.102663i | 0.0344281 | + | 0.00607061i | ||||
\(287\) | 13.1224 | − | 23.5679i | 0.774593 | − | 1.39117i | ||||
\(288\) | −2.68367 | − | 1.34087i | −0.158137 | − | 0.0790115i | ||||
\(289\) | 12.8065 | 0.753326 | ||||||||
\(290\) | −9.65742 | + | 3.51501i | −0.567103 | + | 0.206409i | ||||
\(291\) | −10.3385 | − | 16.7226i | −0.606053 | − | 0.980299i | ||||
\(292\) | 3.22048 | + | 3.83802i | 0.188465 | + | 0.224603i | ||||
\(293\) | 2.84093 | − | 2.38382i | 0.165969 | − | 0.139264i | −0.556020 | − | 0.831169i | \(-0.687672\pi\) |
0.721989 | + | 0.691904i | \(0.243228\pi\) | |||||||
\(294\) | 11.6256 | + | 3.44182i | 0.678017 | + | 0.200731i | ||||
\(295\) | 8.06927 | − | 2.93698i | 0.469811 | − | 0.170997i | ||||
\(296\) | −7.17888 | + | 4.14473i | −0.417264 | + | 0.240907i | ||||
\(297\) | −0.370157 | + | 4.38709i | −0.0214787 | + | 0.254565i | ||||
\(298\) | −9.93339 | + | 17.2051i | −0.575426 | + | 0.996666i | ||||
\(299\) | −1.07990 | − | 0.906142i | −0.0624521 | − | 0.0524036i | ||||
\(300\) | 3.79426 | + | 4.25473i | 0.219062 | + | 0.245647i | ||||
\(301\) | −17.5809 | − | 6.09094i | −1.01335 | − | 0.351076i | ||||
\(302\) | −7.05146 | + | 1.24336i | −0.405766 | + | 0.0715475i | ||||
\(303\) | −29.6500 | − | 15.9477i | −1.70335 | − | 0.916174i | ||||
\(304\) | −2.15856 | − | 5.93060i | −0.123802 | − | 0.340143i | ||||
\(305\) | −2.88842 | + | 1.66763i | −0.165390 | + | 0.0954882i | ||||
\(306\) | −11.2642 | − | 11.8902i | −0.643932 | − | 0.679716i | ||||
\(307\) | 4.76660 | − | 2.75200i | 0.272044 | − | 0.157065i | −0.357772 | − | 0.933809i | \(-0.616463\pi\) |
0.629816 | + | 0.776744i | \(0.283130\pi\) | |||||||
\(308\) | −1.41407 | + | 1.73947i | −0.0805742 | + | 0.0991158i | ||||
\(309\) | −1.12722 | + | 7.75113i | −0.0641250 | + | 0.440947i | ||||
\(310\) | −0.923521 | − | 5.23755i | −0.0524525 | − | 0.297473i | ||||
\(311\) | 7.47334 | − | 6.27088i | 0.423774 | − | 0.355589i | −0.405822 | − | 0.913952i | \(-0.633015\pi\) |
0.829597 | + | 0.558363i | \(0.188570\pi\) | |||||||
\(312\) | 1.19599 | + | 0.173927i | 0.0677093 | + | 0.00984669i | ||||
\(313\) | −4.78200 | − | 13.1385i | −0.270295 | − | 0.742629i | −0.998367 | − | 0.0571284i | \(-0.981806\pi\) |
0.728072 | − | 0.685501i | \(-0.240417\pi\) | |||||||
\(314\) | −11.1696 | − | 19.3462i | −0.630334 | − | 1.09177i | ||||
\(315\) | 20.8232 | − | 9.42073i | 1.17325 | − | 0.530798i | ||||
\(316\) | 4.43842 | − | 7.68757i | 0.249681 | − | 0.432460i | ||||
\(317\) | 7.18432 | + | 1.26679i | 0.403512 | + | 0.0711500i | 0.371721 | − | 0.928345i | \(-0.378768\pi\) |
0.0317909 | + | 0.999495i | \(0.489879\pi\) | |||||||
\(318\) | 8.37829 | + | 4.50640i | 0.469831 | + | 0.252706i | ||||
\(319\) | −2.84173 | − | 1.03431i | −0.159107 | − | 0.0579100i | ||||
\(320\) | −2.70582 | − | 0.984837i | −0.151260 | − | 0.0550541i | ||||
\(321\) | −29.0890 | − | 9.60578i | −1.62359 | − | 0.536142i | ||||
\(322\) | 4.99385 | − | 1.90610i | 0.278296 | − | 0.106223i | ||||
\(323\) | − | 34.4563i | − | 1.91720i | ||||||
\(324\) | −0.486261 | + | 8.98685i | −0.0270145 | + | 0.499270i | ||||
\(325\) | −1.98891 | − | 1.14830i | −0.110325 | − | 0.0636962i | ||||
\(326\) | −21.8440 | − | 3.85169i | −1.20983 | − | 0.213325i | ||||
\(327\) | −11.6583 | + | 2.41977i | −0.644705 | + | 0.133814i | ||||
\(328\) | 6.55358 | + | 7.81025i | 0.361861 | + | 0.431249i | ||||
\(329\) | −21.0997 | − | 7.31001i | −1.16326 | − | 0.403014i | ||||
\(330\) | 0.127259 | + | 4.22388i | 0.00700539 | + | 0.232517i | ||||
\(331\) | −4.90411 | + | 27.8126i | −0.269554 | + | 1.52872i | 0.486191 | + | 0.873853i | \(0.338386\pi\) |
−0.755745 | + | 0.654866i | \(0.772725\pi\) | |||||||
\(332\) | 1.44829 | + | 2.50852i | 0.0794855 | + | 0.137673i | ||||
\(333\) | 19.9781 | + | 14.8092i | 1.09479 | + | 0.811540i | ||||
\(334\) | −1.71105 | − | 0.987876i | −0.0936246 | − | 0.0540542i | ||||
\(335\) | −3.83589 | + | 21.7544i | −0.209577 | + | 1.18857i | ||||
\(336\) | −2.78226 | + | 3.64129i | −0.151785 | + | 0.198649i | ||||
\(337\) | −0.277261 | − | 0.100915i | −0.0151034 | − | 0.00549717i | 0.334457 | − | 0.942411i | \(-0.391447\pi\) |
−0.349561 | + | 0.936914i | \(0.613669\pi\) | |||||||
\(338\) | 12.3230 | − | 2.17288i | 0.670284 | − | 0.118189i | ||||
\(339\) | −1.53094 | − | 1.20795i | −0.0831492 | − | 0.0656067i | ||||
\(340\) | −12.0427 | − | 10.1050i | −0.653105 | − | 0.548020i | ||||
\(341\) | 0.782472 | − | 1.35528i | 0.0423732 | − | 0.0733926i | ||||
\(342\) | −13.7450 | + | 13.0214i | −0.743246 | + | 0.704117i | ||||
\(343\) | 8.50181 | − | 16.4535i | 0.459054 | − | 0.888408i | ||||
\(344\) | 4.52038 | − | 5.38718i | 0.243723 | − | 0.290457i | ||||
\(345\) | 4.77298 | − | 8.87393i | 0.256969 | − | 0.477756i | ||||
\(346\) | 2.32187 | − | 6.37929i | 0.124825 | − | 0.342953i | ||||
\(347\) | 5.09714 | − | 0.898764i | 0.273629 | − | 0.0482482i | −0.0351498 | − | 0.999382i | \(-0.511191\pi\) |
0.308779 | + | 0.951134i | \(0.400080\pi\) | |||||||
\(348\) | −5.87014 | − | 1.93844i | −0.314672 | − | 0.103911i | ||||
\(349\) | −6.05907 | − | 16.6472i | −0.324335 | − | 0.891102i | −0.989516 | − | 0.144420i | \(-0.953868\pi\) |
0.665182 | − | 0.746681i | \(-0.268354\pi\) | |||||||
\(350\) | 7.47281 | − | 4.47084i | 0.399439 | − | 0.238977i | ||||
\(351\) | −0.949223 | − | 3.49924i | −0.0506658 | − | 0.186775i | ||||
\(352\) | −0.423648 | − | 0.733780i | −0.0225805 | − | 0.0391106i | ||||
\(353\) | 4.30273 | − | 24.4020i | 0.229011 | − | 1.29879i | −0.625855 | − | 0.779939i | \(-0.715250\pi\) |
0.854866 | − | 0.518848i | \(-0.173639\pi\) | |||||||
\(354\) | 4.90480 | + | 1.61967i | 0.260687 | + | 0.0860843i | ||||
\(355\) | 11.5683 | − | 31.7837i | 0.613983 | − | 1.68691i | ||||
\(356\) | −0.0233049 | − | 0.132169i | −0.00123516 | − | 0.00700493i | ||||
\(357\) | −21.0731 | + | 13.4856i | −1.11531 | + | 0.713735i | ||||
\(358\) | 15.5822 | + | 13.0750i | 0.823547 | + | 0.691038i | ||||
\(359\) | − | 5.85431i | − | 0.308979i | −0.987994 | − | 0.154489i | \(-0.950627\pi\) | ||
0.987994 | − | 0.154489i | \(-0.0493733\pi\) | |||||||
\(360\) | 0.520053 | + | 8.62275i | 0.0274092 | + | 0.454459i | ||||
\(361\) | −20.8314 | −1.09639 | ||||||||
\(362\) | −2.00461 | + | 0.729620i | −0.105360 | + | 0.0383480i | ||||
\(363\) | 11.0314 | − | 13.9811i | 0.579000 | − | 0.733818i | ||||
\(364\) | 0.604347 | − | 1.74439i | 0.0316764 | − | 0.0914310i | ||||
\(365\) | 4.93421 | − | 13.5566i | 0.258269 | − | 0.709587i | ||||
\(366\) | −1.98533 | − | 0.288719i | −0.103775 | − | 0.0150916i | ||||
\(367\) | 9.09290 | − | 10.8365i | 0.474646 | − | 0.565661i | −0.474598 | − | 0.880203i | \(-0.657407\pi\) |
0.949244 | + | 0.314542i | \(0.101851\pi\) | |||||||
\(368\) | 2.02032i | 0.105316i | ||||||||
\(369\) | 13.6709 | − | 27.3615i | 0.711679 | − | 1.42438i | ||||
\(370\) | 20.6714 | + | 11.9346i | 1.07465 | + | 0.620452i | ||||
\(371\) | 9.16660 | − | 11.2760i | 0.475906 | − | 0.585421i | ||||
\(372\) | 1.51538 | − | 2.81739i | 0.0785688 | − | 0.146075i | ||||
\(373\) | −23.1038 | + | 19.3864i | −1.19627 | + | 1.00379i | −0.196543 | + | 0.980495i | \(0.562971\pi\) |
−0.999729 | + | 0.0232957i | \(0.992584\pi\) | |||||||
\(374\) | −0.803269 | − | 4.55557i | −0.0415361 | − | 0.235563i | ||||
\(375\) | −2.67210 | + | 8.09188i | −0.137987 | + | 0.417863i | ||||
\(376\) | 5.42511 | − | 6.46540i | 0.279779 | − | 0.333427i | ||||
\(377\) | 2.49042 | 0.128263 | ||||||||
\(378\) | 13.3433 | + | 3.30994i | 0.686307 | + | 0.170245i | ||||
\(379\) | −19.8014 | −1.01713 | −0.508566 | − | 0.861023i | \(-0.669824\pi\) | ||||
−0.508566 | + | 0.861023i | \(0.669824\pi\) | |||||||
\(380\) | −11.6814 | + | 13.9213i | −0.599241 | + | 0.714147i | ||||
\(381\) | 28.9832 | − | 6.01570i | 1.48485 | − | 0.308194i | ||||
\(382\) | 1.22512 | + | 6.94799i | 0.0626825 | + | 0.355490i | ||||
\(383\) | 13.4982 | − | 11.3264i | 0.689727 | − | 0.578750i | −0.229103 | − | 0.973402i | \(-0.573579\pi\) |
0.918831 | + | 0.394652i | \(0.129135\pi\) | |||||||
\(384\) | −0.910805 | − | 1.47324i | −0.0464793 | − | 0.0751809i | ||||
\(385\) | 6.37361 | + | 1.02188i | 0.324829 | + | 0.0520798i | ||||
\(386\) | 6.23300 | + | 3.59862i | 0.317251 | + | 0.183165i | ||||
\(387\) | −20.2235 | − | 6.00913i | −1.02802 | − | 0.305461i | ||||
\(388\) | − | 11.3509i | − | 0.576257i | ||||||
\(389\) | 0.595633 | − | 0.709848i | 0.0301998 | − | 0.0359907i | −0.750733 | − | 0.660606i | \(-0.770300\pi\) |
0.780933 | + | 0.624615i | \(0.214744\pi\) | |||||||
\(390\) | −1.28818 | − | 3.23283i | −0.0652296 | − | 0.163701i | ||||
\(391\) | −3.77248 | + | 10.3648i | −0.190782 | + | 0.524170i | ||||
\(392\) | 4.66414 | + | 5.21975i | 0.235575 | + | 0.263637i | ||||
\(393\) | −10.7611 | − | 27.0061i | −0.542824 | − | 1.36228i | ||||
\(394\) | 12.3120 | − | 4.48119i | 0.620268 | − | 0.225759i | ||||
\(395\) | −25.5606 | −1.28609 | ||||||||
\(396\) | −1.51370 | + | 2.04203i | −0.0760665 | + | 0.102616i | ||||
\(397\) | − | 26.2634i | − | 1.31812i | −0.752089 | − | 0.659062i | \(-0.770954\pi\) | ||
0.752089 | − | 0.659062i | \(-0.229046\pi\) | |||||||
\(398\) | −7.52977 | − | 6.31822i | −0.377433 | − | 0.316704i | ||||
\(399\) | 15.5894 | + | 24.3605i | 0.780444 | + | 1.21955i | ||||
\(400\) | 0.571539 | + | 3.24136i | 0.0285769 | + | 0.162068i | ||||
\(401\) | −0.0365428 | + | 0.100400i | −0.00182486 | + | 0.00501376i | −0.940602 | − | 0.339512i | \(-0.889738\pi\) |
0.938777 | + | 0.344526i | \(0.111960\pi\) | |||||||
\(402\) | −9.91700 | + | 8.84371i | −0.494615 | + | 0.441084i | ||||
\(403\) | −0.223792 | + | 1.26919i | −0.0111479 | + | 0.0632226i | ||||
\(404\) | −9.71878 | − | 16.8334i | −0.483527 | − | 0.837494i | ||||
\(405\) | 23.1106 | − | 11.7261i | 1.14837 | − | 0.582675i | ||||
\(406\) | −4.59373 | + | 8.25036i | −0.227983 | + | 0.409459i | ||||
\(407\) | 2.40222 | + | 6.60005i | 0.119074 | + | 0.327152i | ||||
\(408\) | −1.92175 | − | 9.25886i | −0.0951409 | − | 0.458382i | ||||
\(409\) | −30.9097 | + | 5.45022i | −1.52839 | + | 0.269496i | −0.873723 | − | 0.486424i | \(-0.838301\pi\) |
−0.654664 | + | 0.755920i | \(0.727190\pi\) | |||||||
\(410\) | 10.0410 | − | 27.5873i | 0.495888 | − | 1.36244i | ||||
\(411\) | −3.44051 | − | 5.56507i | −0.169708 | − | 0.274504i | ||||
\(412\) | −2.90681 | + | 3.46420i | −0.143208 | + | 0.170669i | ||||
\(413\) | 3.83830 | − | 6.89360i | 0.188870 | − | 0.339212i | ||||
\(414\) | 5.56030 | − | 2.41208i | 0.273274 | − | 0.118547i | ||||
\(415\) | 4.17032 | − | 7.22321i | 0.204713 | − | 0.354574i | ||||
\(416\) | 0.534520 | + | 0.448515i | 0.0262070 | + | 0.0219903i | ||||
\(417\) | 5.75866 | − | 39.5986i | 0.282003 | − | 1.93915i | ||||
\(418\) | −5.26622 | + | 0.928577i | −0.257579 | + | 0.0454182i | ||||
\(419\) | 28.2118 | + | 10.2683i | 1.37824 | + | 0.501638i | 0.921644 | − | 0.388037i | \(-0.126847\pi\) |
0.456594 | + | 0.889675i | \(0.349069\pi\) | |||||||
\(420\) | 13.0860 | + | 1.69562i | 0.638531 | + | 0.0827380i | ||||
\(421\) | −3.63038 | + | 20.5889i | −0.176934 | + | 1.00344i | 0.758954 | + | 0.651144i | \(0.225711\pi\) |
−0.935888 | + | 0.352298i | \(0.885400\pi\) | |||||||
\(422\) | 3.90077 | + | 2.25211i | 0.189886 | + | 0.109631i | ||||
\(423\) | −24.2712 | − | 7.21183i | −1.18010 | − | 0.350651i | ||||
\(424\) | 2.74626 | + | 4.75666i | 0.133370 | + | 0.231004i | ||||
\(425\) | −3.12034 | + | 17.6963i | −0.151359 | + | 0.858397i | ||||
\(426\) | 17.3053 | − | 10.6987i | 0.838445 | − | 0.518354i | ||||
\(427\) | −1.00321 | + | 2.89569i | −0.0485489 | + | 0.140132i | ||||
\(428\) | −11.3687 | − | 13.5487i | −0.549526 | − | 0.654899i | ||||
\(429\) | 0.321096 | − | 0.972368i | 0.0155027 | − | 0.0469464i | ||||
\(430\) | −19.9422 | − | 3.51634i | −0.961696 | − | 0.169573i | ||||
\(431\) | 11.1402 | + | 6.43177i | 0.536602 | + | 0.309808i | 0.743701 | − | 0.668513i | \(-0.233069\pi\) |
−0.207098 | + | 0.978320i | \(0.566402\pi\) | |||||||
\(432\) | −2.96722 | + | 4.26563i | −0.142760 | + | 0.205230i | ||||
\(433\) | 9.32591i | 0.448174i | 0.974569 | + | 0.224087i | \(0.0719401\pi\) | ||||
−0.974569 | + | 0.224087i | \(0.928060\pi\) | |||||||
\(434\) | −3.79181 | − | 3.08248i | −0.182013 | − | 0.147964i | ||||
\(435\) | 3.61757 | + | 17.4292i | 0.173449 | + | 0.835666i | ||||
\(436\) | −6.45980 | − | 2.35117i | −0.309368 | − | 0.112601i | ||||
\(437\) | 11.9817 | + | 4.36098i | 0.573162 | + | 0.208614i | ||||
\(438\) | 7.38120 | − | 4.56330i | 0.352687 | − | 0.218043i | ||||
\(439\) | 28.8182 | + | 5.08142i | 1.37542 | + | 0.242523i | 0.812004 | − | 0.583652i | \(-0.198377\pi\) |
0.563413 | + | 0.826175i | \(0.309488\pi\) | |||||||
\(440\) | −1.21988 | + | 2.11290i | −0.0581556 | + | 0.100728i | ||||
\(441\) | 8.79717 | − | 19.0686i | 0.418913 | − | 0.908026i | ||||
\(442\) | 1.90474 | + | 3.29911i | 0.0905992 | + | 0.156922i | ||||
\(443\) | −5.20946 | − | 14.3129i | −0.247509 | − | 0.680025i | −0.999776 | − | 0.0211665i | \(-0.993262\pi\) |
0.752267 | − | 0.658858i | \(-0.228960\pi\) | |||||||
\(444\) | 5.31472 | + | 13.3379i | 0.252226 | + | 0.632988i | ||||
\(445\) | −0.296036 | + | 0.248404i | −0.0140334 | + | 0.0117755i | ||||
\(446\) | 2.95710 | + | 16.7705i | 0.140023 | + | 0.794108i | ||||
\(447\) | 27.0139 | + | 21.3146i | 1.27772 | + | 1.00815i | ||||
\(448\) | −2.47182 | + | 0.943465i | −0.116782 | + | 0.0445745i | ||||
\(449\) | −10.2062 | + | 5.89254i | −0.481659 | + | 0.278086i | −0.721108 | − | 0.692823i | \(-0.756367\pi\) |
0.239449 | + | 0.970909i | \(0.423033\pi\) | |||||||
\(450\) | 8.23847 | − | 5.44289i | 0.388365 | − | 0.256580i | ||||
\(451\) | 7.48129 | − | 4.31933i | 0.352280 | − | 0.203389i | ||||
\(452\) | −0.385078 | − | 1.05799i | −0.0181126 | − | 0.0497639i | ||||
\(453\) | 0.373481 | + | 12.3963i | 0.0175477 | + | 0.582428i | ||||
\(454\) | 21.7368 | − | 3.83278i | 1.02016 | − | 0.179881i | ||||
\(455\) | −5.22009 | + | 1.00441i | −0.244721 | + | 0.0470874i | ||||
\(456\) | −10.7032 | + | 2.22154i | −0.501224 | + | 0.104033i | ||||
\(457\) | 2.42398 | + | 2.03396i | 0.113389 | + | 0.0951446i | 0.697719 | − | 0.716371i | \(-0.254198\pi\) |
−0.584330 | + | 0.811516i | \(0.698643\pi\) | |||||||
\(458\) | −13.7052 | + | 23.7381i | −0.640403 | + | 1.10921i | ||||
\(459\) | −23.1878 | + | 16.3433i | −1.08231 | + | 0.762841i | ||||
\(460\) | 5.03805 | − | 2.90872i | 0.234900 | − | 0.135620i | ||||
\(461\) | −4.76981 | + | 1.73607i | −0.222152 | + | 0.0808567i | −0.450698 | − | 0.892676i | \(-0.648825\pi\) |
0.228546 | + | 0.973533i | \(0.426603\pi\) | |||||||
\(462\) | 2.62902 | + | 2.85733i | 0.122313 | + | 0.132935i | ||||
\(463\) | −18.4339 | + | 15.4679i | −0.856696 | + | 0.718853i | −0.961254 | − | 0.275666i | \(-0.911102\pi\) |
0.104558 | + | 0.994519i | \(0.466657\pi\) | |||||||
\(464\) | −2.29419 | − | 2.73411i | −0.106505 | − | 0.126928i | ||||
\(465\) | −9.20747 | + | 0.277407i | −0.426986 | + | 0.0128645i | ||||
\(466\) | 7.85367 | − | 2.85850i | 0.363814 | − | 0.132418i | ||||
\(467\) | 24.1240 | 1.11633 | 0.558164 | − | 0.829731i | \(-0.311506\pi\) | ||||
0.558164 | + | 0.829731i | \(0.311506\pi\) | |||||||
\(468\) | 0.596230 | − | 2.00659i | 0.0275607 | − | 0.0927547i | ||||
\(469\) | 10.4207 | + | 17.4177i | 0.481184 | + | 0.804277i | ||||
\(470\) | −23.9335 | − | 4.22012i | −1.10397 | − | 0.194659i | ||||
\(471\) | −35.9440 | + | 14.3225i | −1.65621 | + | 0.659948i | ||||
\(472\) | 1.91692 | + | 2.28449i | 0.0882332 | + | 0.105152i | ||||
\(473\) | −3.83010 | − | 4.56454i | −0.176108 | − | 0.209878i | ||||
\(474\) | −12.0703 | − | 9.52378i | −0.554409 | − | 0.437442i | ||||
\(475\) | 20.4569 | + | 3.60710i | 0.938627 | + | 0.165505i | ||||
\(476\) | −14.4428 | + | 0.224692i | −0.661986 | + | 0.0102987i | ||||
\(477\) | 9.81246 | − | 13.2373i | 0.449282 | − | 0.606094i | ||||
\(478\) | −17.4584 | −0.798528 | ||||||||
\(479\) | −7.75592 | + | 2.82292i | −0.354377 | + | 0.128983i | −0.513073 | − | 0.858345i | \(-0.671493\pi\) |
0.158696 | + | 0.987327i | \(0.449271\pi\) | |||||||
\(480\) | −2.36249 | + | 4.39235i | −0.107833 | + | 0.200482i | ||||
\(481\) | −3.71795 | − | 4.43088i | −0.169524 | − | 0.202031i | ||||
\(482\) | −17.8949 | + | 15.0156i | −0.815089 | + | 0.683941i | ||||
\(483\) | −2.02231 | − | 9.03468i | −0.0920182 | − | 0.411092i | ||||
\(484\) | 9.66200 | − | 3.51668i | 0.439182 | − | 0.159849i | ||||
\(485\) | −28.3058 | + | 16.3424i | −1.28530 | + | 0.742068i | ||||
\(486\) | 15.2825 | + | 3.07355i | 0.693226 | + | 0.139419i | ||||
\(487\) | 4.98163 | − | 8.62844i | 0.225739 | − | 0.390992i | −0.730802 | − | 0.682590i | \(-0.760854\pi\) |
0.956541 | + | 0.291598i | \(0.0941869\pi\) | |||||||
\(488\) | −0.887301 | − | 0.744534i | −0.0401662 | − | 0.0337035i | ||||
\(489\) | −12.0468 | + | 36.4810i | −0.544775 | + | 1.64973i | ||||
\(490\) | 6.30133 | − | 19.1460i | 0.284665 | − | 0.864929i | ||||
\(491\) | −23.6973 | + | 4.17848i | −1.06945 | + | 0.188572i | −0.680544 | − | 0.732707i | \(-0.738257\pi\) |
−0.388902 | + | 0.921279i | \(0.627145\pi\) | |||||||
\(492\) | 15.0205 | − | 9.28617i | 0.677176 | − | 0.418653i | ||||
\(493\) | −6.66454 | − | 18.3107i | −0.300156 | − | 0.824671i | ||||
\(494\) | 3.81376 | − | 2.20187i | 0.171589 | − | 0.0990670i | ||||
\(495\) | 7.27154 | + | 0.834732i | 0.326831 | + | 0.0375184i | ||||
\(496\) | 1.59954 | − | 0.923494i | 0.0718214 | − | 0.0414661i | ||||
\(497\) | −11.0823 | − | 29.0350i | −0.497111 | − | 1.30240i | ||||
\(498\) | 4.66066 | − | 1.85713i | 0.208849 | − | 0.0832198i | ||||
\(499\) | −2.28678 | − | 12.9690i | −0.102370 | − | 0.580572i | −0.992238 | − | 0.124353i | \(-0.960314\pi\) |
0.889868 | − | 0.456219i | \(-0.150797\pi\) | |||||||
\(500\) | −3.76892 | + | 3.16250i | −0.168551 | + | 0.141431i | ||||
\(501\) | −2.11974 | + | 2.68654i | −0.0947031 | + | 0.120026i | ||||
\(502\) | 8.67984 | + | 23.8477i | 0.387400 | + | 1.06437i | ||||
\(503\) | 11.4535 | + | 19.8381i | 0.510688 | + | 0.884538i | 0.999923 | + | 0.0123861i | \(0.00394271\pi\) |
−0.489235 | + | 0.872152i | \(0.662724\pi\) | |||||||
\(504\) | 5.54773 | + | 5.67650i | 0.247116 | + | 0.252851i | ||||
\(505\) | −27.9850 | + | 48.4714i | −1.24531 | + | 2.15695i | ||||
\(506\) | 1.68580 | + | 0.297252i | 0.0749429 | + | 0.0132145i | ||||
\(507\) | −0.652690 | − | 21.6635i | −0.0289870 | − | 0.962111i | ||||
\(508\) | 16.0594 | + | 5.84516i | 0.712522 | + | 0.259337i | ||||
\(509\) | 13.4484 | + | 4.89480i | 0.596088 | + | 0.216958i | 0.622405 | − | 0.782695i | \(-0.286156\pi\) |
−0.0263171 | + | 0.999654i | \(0.508378\pi\) | |||||||
\(510\) | −20.3220 | + | 18.1226i | −0.899872 | + | 0.802481i | ||||
\(511\) | −4.72693 | − | 12.3842i | −0.209107 | − | 0.547847i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 18.8928 | + | 26.8050i | 0.834140 | + | 1.18347i | ||||
\(514\) | 21.1232 | + | 12.1955i | 0.931705 | + | 0.537920i | ||||
\(515\) | 12.8237 | + | 2.26116i | 0.565080 | + | 0.0996388i | ||||
\(516\) | −8.10698 | − | 9.09086i | −0.356890 | − | 0.400203i | ||||
\(517\) | −4.59668 | − | 5.47811i | −0.202162 | − | 0.240927i | ||||
\(518\) | 21.5368 | − | 4.14394i | 0.946273 | − | 0.182074i | ||||
\(519\) | −10.3555 | − | 5.56986i | −0.454555 | − | 0.244490i | ||||
\(520\) | 0.348894 | − | 1.97867i | 0.0153000 | − | 0.0867706i | ||||
\(521\) | 2.50639 | + | 4.34120i | 0.109807 | + | 0.190192i | 0.915692 | − | 0.401881i | \(-0.131643\pi\) |
−0.805885 | + | 0.592072i | \(0.798310\pi\) | |||||||
\(522\) | −4.78574 | + | 9.57836i | −0.209466 | + | 0.419233i | ||||
\(523\) | −7.06308 | − | 4.07787i | −0.308847 | − | 0.178313i | 0.337563 | − | 0.941303i | \(-0.390397\pi\) |
−0.646410 | + | 0.762990i | \(0.723731\pi\) | |||||||
\(524\) | 2.91454 | − | 16.5292i | 0.127322 | − | 0.722082i | ||||
\(525\) | −5.80042 | − | 13.9230i | −0.253151 | − | 0.607648i | ||||
\(526\) | 5.44397 | + | 1.98144i | 0.237368 | + | 0.0863950i | ||||
\(527\) | 9.93050 | − | 1.75102i | 0.432579 | − | 0.0762754i | ||||
\(528\) | −1.36331 | + | 0.543237i | −0.0593306 | + | 0.0236414i | ||||
\(529\) | 14.4923 | + | 12.1605i | 0.630099 | + | 0.528716i | ||||
\(530\) | 7.90778 | − | 13.6967i | 0.343492 | − | 0.594946i | ||||
\(531\) | 3.99873 | − | 8.00321i | 0.173530 | − | 0.347310i | ||||
\(532\) | 0.259743 | + | 16.6959i | 0.0112613 | + | 0.723858i | ||||
\(533\) | −4.57286 | + | 5.44973i | −0.198073 | + | 0.236054i | ||||
\(534\) | −0.232349 | + | 0.00700034i | −0.0100547 | + | 0.000302934i | ||||
\(535\) | −17.4183 | + | 47.8565i | −0.753061 | + | 2.06902i | ||||
\(536\) | −7.55501 | + | 1.33215i | −0.326327 | + | 0.0575402i | ||||
\(537\) | 26.2950 | − | 23.4491i | 1.13471 | − | 1.01191i | ||||
\(538\) | 5.67773 | + | 15.5994i | 0.244784 | + | 0.672539i | ||||
\(539\) | 5.04172 | − | 3.12388i | 0.217162 | − | 0.134555i | ||||
\(540\) | 14.9092 | + | 1.25795i | 0.641590 | + | 0.0541335i | ||||
\(541\) | −1.98352 | − | 3.43557i | −0.0852784 | − | 0.147707i | 0.820231 | − | 0.572032i | \(-0.193845\pi\) |
−0.905510 | + | 0.424325i | \(0.860511\pi\) | |||||||
\(542\) | 2.49716 | − | 14.1621i | 0.107262 | − | 0.608315i | ||||
\(543\) | 0.750907 | + | 3.61782i | 0.0322245 | + | 0.155255i | ||||
\(544\) | 1.86727 | − | 5.13029i | 0.0800586 | − | 0.219959i | ||||
\(545\) | 3.43729 | + | 19.4938i | 0.147237 | + | 0.835024i | ||||
\(546\) | −2.83928 | − | 1.47068i | −0.121510 | − | 0.0629391i | ||||
\(547\) | 19.8622 | + | 16.6664i | 0.849247 | + | 0.712603i | 0.959624 | − | 0.281287i | \(-0.0907613\pi\) |
−0.110377 | + | 0.993890i | \(0.535206\pi\) | |||||||
\(548\) | − | 3.77744i | − | 0.161364i | ||||||
\(549\) | −0.989740 | + | 3.33093i | −0.0422411 | + | 0.142161i | ||||
\(550\) | 2.78876 | 0.118913 | ||||||||
\(551\) | −21.1671 | + | 7.70419i | −0.901748 | + | 0.328210i | ||||
\(552\) | 3.46286 | + | 0.503590i | 0.147389 | + | 0.0214342i | ||||
\(553\) | −17.7543 | + | 15.3745i | −0.754988 | + | 0.653790i | ||||
\(554\) | −9.34964 | + | 25.6879i | −0.397228 | + | 1.09137i | ||||
\(555\) | 25.6088 | − | 32.4563i | 1.08703 | − | 1.37769i | ||||
\(556\) | 14.8502 | − | 17.6977i | 0.629787 | − | 0.750551i | ||||
\(557\) | 27.9530i | 1.18440i | 0.805789 | + | 0.592202i | \(0.201741\pi\) | ||||
−0.805789 | + | 0.592202i | \(0.798259\pi\) | |||||||
\(558\) | −4.45134 | − | 3.29966i | −0.188440 | − | 0.139686i | ||||
\(559\) | 4.24960 | + | 2.45351i | 0.179739 | + | 0.103772i | ||||
\(560\) | 5.91148 | + | 4.80562i | 0.249805 | + | 0.203074i | ||||
\(561\) | −8.00856 | + | 0.241286i | −0.338122 | + | 0.0101871i | ||||
\(562\) | 0.0254917 | − | 0.0213901i | 0.00107530 | − | 0.000902287i | ||||
\(563\) | 4.10739 | + | 23.2942i | 0.173106 | + | 0.981732i | 0.940307 | + | 0.340326i | \(0.110537\pi\) |
−0.767202 | + | 0.641406i | \(0.778351\pi\) | |||||||
\(564\) | −9.72955 | − | 10.9103i | −0.409688 | − | 0.459408i | ||||
\(565\) | −2.08390 | + | 2.48350i | −0.0876705 | + | 0.104482i | ||||
\(566\) | −2.36694 | −0.0994900 | ||||||||
\(567\) | 8.99930 | − | 22.0457i | 0.377935 | − | 0.925832i | ||||
\(568\) | 11.7464 | 0.492870 | ||||||||
\(569\) | −1.27809 | + | 1.52317i | −0.0535805 | + | 0.0638547i | −0.792169 | − | 0.610302i | \(-0.791048\pi\) |
0.738589 | + | 0.674156i | \(0.235493\pi\) | |||||||
\(570\) | 20.9497 | + | 23.4922i | 0.877485 | + | 0.983978i | ||||
\(571\) | 2.31635 | + | 13.1367i | 0.0969364 | + | 0.549754i | 0.994137 | + | 0.108130i | \(0.0344863\pi\) |
−0.897200 | + | 0.441624i | \(0.854403\pi\) | |||||||
\(572\) | 0.452896 | − | 0.380025i | 0.0189365 | − | 0.0158896i | ||||
\(573\) | 12.2144 | − | 0.368001i | 0.510263 | − | 0.0153735i | ||||
\(574\) | −9.61915 | − | 25.2015i | −0.401496 | − | 1.05189i | ||||
\(575\) | −5.75871 | − | 3.32479i | −0.240155 | − | 0.138653i | ||||
\(576\) | −2.75219 | + | 1.19391i | −0.114675 | + | 0.0497464i | ||||
\(577\) | 26.1871i | 1.09019i | 0.838376 | + | 0.545093i | \(0.183505\pi\) | ||||
−0.838376 | + | 0.545093i | \(0.816495\pi\) | |||||||
\(578\) | 8.23189 | − | 9.81039i | 0.342402 | − | 0.408058i | ||||
\(579\) | 7.72177 | − | 9.78648i | 0.320906 | − | 0.406712i | ||||
\(580\) | −3.51501 | + | 9.65742i | −0.145953 | + | 0.401003i | ||||
\(581\) | −1.44802 | − | 7.52561i | −0.0600739 | − | 0.312215i | ||||
\(582\) | −19.4557 | − | 2.82937i | −0.806467 | − | 0.117281i | ||||
\(583\) | 4.37313 | − | 1.59169i | 0.181117 | − | 0.0659211i | ||||
\(584\) | 5.01018 | 0.207323 | ||||||||
\(585\) | −5.86224 | + | 1.40214i | −0.242374 | + | 0.0579716i | ||||
\(586\) | − | 3.70857i | − | 0.153200i | ||||||
\(587\) | −8.84295 | − | 7.42011i | −0.364988 | − | 0.306261i | 0.441787 | − | 0.897120i | \(-0.354345\pi\) |
−0.806775 | + | 0.590859i | \(0.798789\pi\) | |||||||
\(588\) | 10.1094 | − | 6.69335i | 0.416903 | − | 0.276029i | ||||
\(589\) | −2.02417 | − | 11.4796i | −0.0834045 | − | 0.473010i | ||||
\(590\) | 2.93698 | − | 8.06927i | 0.120913 | − | 0.332207i | ||||
\(591\) | −4.61194 | − | 22.2200i | −0.189710 | − | 0.914008i | ||||
\(592\) | −1.43945 | + | 8.16352i | −0.0591610 | + | 0.335519i | ||||
\(593\) | 16.8475 | + | 29.1808i | 0.691845 | + | 1.19831i | 0.971233 | + | 0.238133i | \(0.0765353\pi\) |
−0.279387 | + | 0.960178i | \(0.590131\pi\) | |||||||
\(594\) | 3.12277 | + | 3.10352i | 0.128129 | + | 0.127339i | ||||
\(595\) | 21.3542 | + | 35.6925i | 0.875436 | + | 1.46325i | ||||
\(596\) | 6.79484 | + | 18.6687i | 0.278327 | + | 0.764698i | ||||
\(597\) | −12.7065 | + | 11.3313i | −0.520041 | + | 0.463758i | ||||
\(598\) | −1.38829 | + | 0.244793i | −0.0567714 | + | 0.0100103i | ||||
\(599\) | 3.25799 | − | 8.95124i | 0.133118 | − | 0.365738i | −0.855168 | − | 0.518350i | \(-0.826546\pi\) |
0.988286 | + | 0.152612i | \(0.0487686\pi\) | |||||||
\(600\) | 5.69822 | − | 0.171679i | 0.232629 | − | 0.00700876i | ||||
\(601\) | 14.6784 | − | 17.4931i | 0.598746 | − | 0.713557i | −0.378516 | − | 0.925595i | \(-0.623565\pi\) |
0.977262 | + | 0.212037i | \(0.0680099\pi\) | |||||||
\(602\) | −15.9667 | + | 9.55261i | −0.650756 | + | 0.389335i | ||||
\(603\) | 12.6864 | + | 19.2024i | 0.516629 | + | 0.781981i | ||||
\(604\) | −3.58012 | + | 6.20095i | −0.145673 | + | 0.252313i | ||||
\(605\) | −22.6803 | − | 19.0310i | −0.922084 | − | 0.773720i | ||||
\(606\) | −31.2754 | + | 12.4622i | −1.27047 | + | 0.506244i | ||||
\(607\) | 6.82088 | − | 1.20270i | 0.276851 | − | 0.0488163i | −0.0334988 | − | 0.999439i | \(-0.510665\pi\) |
0.310350 | + | 0.950622i | \(0.399554\pi\) | |||||||
\(608\) | −5.93060 | − | 2.15856i | −0.240518 | − | 0.0875413i | ||||
\(609\) | 12.9962 | + | 9.93027i | 0.526634 | + | 0.402395i | ||||
\(610\) | −0.579162 | + | 3.28459i | −0.0234496 | + | 0.132989i | ||||
\(611\) | 5.10014 | + | 2.94457i | 0.206329 | + | 0.119124i | ||||
\(612\) | −16.3489 | + | 0.986032i | −0.660865 | + | 0.0398580i | ||||
\(613\) | −3.92757 | − | 6.80275i | −0.158633 | − | 0.274760i | 0.775743 | − | 0.631049i | \(-0.217375\pi\) |
−0.934376 | + | 0.356289i | \(0.884042\pi\) | |||||||
\(614\) | 0.955759 | − | 5.42038i | 0.0385713 | − | 0.218749i | ||||
\(615\) | −44.7824 | − | 24.0869i | −1.80580 | − | 0.971279i | ||||
\(616\) | 0.423567 | + | 2.20135i | 0.0170660 | + | 0.0886951i | ||||
\(617\) | −16.2850 | − | 19.4077i | −0.655609 | − | 0.781325i | 0.331139 | − | 0.943582i | \(-0.392567\pi\) |
−0.986749 | + | 0.162257i | \(0.948123\pi\) | |||||||
\(618\) | 5.21315 | + | 5.84583i | 0.209704 | + | 0.235154i | ||||
\(619\) | 9.87406 | + | 1.74106i | 0.396872 | + | 0.0699792i | 0.368522 | − | 0.929619i | \(-0.379864\pi\) |
0.0283495 | + | 0.999598i | \(0.490975\pi\) | |||||||
\(620\) | −4.60582 | − | 2.65917i | −0.184974 | − | 0.106795i | ||||
\(621\) | −2.74839 | − | 10.1317i | −0.110289 | − | 0.406572i | ||||
\(622\) | − | 9.75575i | − | 0.391170i | ||||||
\(623\) | −0.0562120 | + | 0.350603i | −0.00225209 | + | 0.0140466i | ||||
\(624\) | 0.902001 | − | 0.804380i | 0.0361089 | − | 0.0322010i | ||||
\(625\) | 28.7769 | + | 10.4739i | 1.15108 | + | 0.418958i | ||||
\(626\) | −13.1385 | − | 4.78200i | −0.525118 | − | 0.191127i | ||||
\(627\) | 0.278926 | + | 9.25788i | 0.0111392 | + | 0.369724i | ||||
\(628\) | −21.9997 | − | 3.87914i | −0.877884 | − | 0.154795i | ||||
\(629\) | −22.6283 | + | 39.1934i | −0.902250 | + | 1.56274i | ||||
\(630\) | 6.16819 | − | 22.0070i | 0.245747 | − | 0.876781i | ||||
\(631\) | 11.4911 | + | 19.9031i | 0.457453 | + | 0.792331i | 0.998826 | − | 0.0484514i | \(-0.0154286\pi\) |
−0.541373 | + | 0.840783i | \(0.682095\pi\) | |||||||
\(632\) | −3.03606 | − | 8.34151i | −0.120768 | − | 0.331807i | ||||
\(633\) | 4.83248 | − | 6.12463i | 0.192074 | − | 0.243432i | ||||
\(634\) | 5.58841 | − | 4.68923i | 0.221944 | − | 0.186233i | ||||
\(635\) | −8.54531 | − | 48.4628i | −0.339110 | − | 1.92319i | ||||
\(636\) | 8.83756 | − | 3.52149i | 0.350432 | − | 0.139636i | ||||
\(637\) | −3.02170 | + | 3.83749i | −0.119724 | + | 0.152047i | ||||
\(638\) | −2.61896 | + | 1.51205i | −0.103685 | + | 0.0598628i | ||||
\(639\) | −14.0242 | − | 32.3285i | −0.554790 | − | 1.27889i | ||||
\(640\) | −2.49370 | + | 1.43974i | −0.0985720 | + | 0.0569106i | ||||
\(641\) | 0.630548 | + | 1.73242i | 0.0249052 | + | 0.0684264i | 0.951522 | − | 0.307580i | \(-0.0995192\pi\) |
−0.926617 | + | 0.376007i | \(0.877297\pi\) | |||||||
\(642\) | −26.0565 | + | 16.1090i | −1.02837 | + | 0.635770i | ||||
\(643\) | −23.9616 | + | 4.22507i | −0.944952 | + | 0.166621i | −0.624835 | − | 0.780757i | \(-0.714834\pi\) |
−0.320118 | + | 0.947378i | \(0.603722\pi\) | |||||||
\(644\) | 1.74983 | − | 5.05072i | 0.0689529 | − | 0.199026i | ||||
\(645\) | −10.9979 | + | 33.3048i | −0.433043 | + | 1.31137i | ||||
\(646\) | −26.3951 | − | 22.1481i | −1.03850 | − | 0.871405i | ||||
\(647\) | 3.90792 | − | 6.76872i | 0.153636 | − | 0.266106i | −0.778925 | − | 0.627117i | \(-0.784235\pi\) |
0.932562 | + | 0.361011i | \(0.117568\pi\) | |||||||
\(648\) | 6.57177 | + | 6.14914i | 0.258163 | + | 0.241561i | ||||
\(649\) | 2.18827 | − | 1.26340i | 0.0858972 | − | 0.0495928i | ||||
\(650\) | −2.15810 | + | 0.785483i | −0.0846475 | + | 0.0308092i | ||||
\(651\) | −6.22859 | + | 5.73090i | −0.244118 | + | 0.224612i | ||||
\(652\) | −16.9916 | + | 14.2577i | −0.665444 | + | 0.558374i | ||||
\(653\) | −28.9811 | − | 34.5384i | −1.13412 | − | 1.35159i | −0.927788 | − | 0.373108i | \(-0.878292\pi\) |
−0.206331 | − | 0.978482i | \(-0.566153\pi\) | |||||||
\(654\) | −5.64015 | + | 10.4862i | −0.220547 | + | 0.410042i | ||||
\(655\) | −45.4150 | + | 16.5297i | −1.77451 | + | 0.645869i | ||||
\(656\) | 10.1956 | 0.398070 | ||||||||
\(657\) | −5.98173 | − | 13.7890i | −0.233369 | − | 0.537960i | ||||
\(658\) | −19.1624 | + | 11.4645i | −0.747028 | + | 0.446933i | ||||
\(659\) | 3.07698 | + | 0.542555i | 0.119862 | + | 0.0211349i | 0.233257 | − | 0.972415i | \(-0.425062\pi\) |
−0.113395 | + | 0.993550i | \(0.536173\pi\) | |||||||
\(660\) | 3.31748 | + | 2.61757i | 0.129133 | + | 0.101889i | ||||
\(661\) | 27.0429 | + | 32.2285i | 1.05185 | + | 1.25354i | 0.966357 | + | 0.257204i | \(0.0828013\pi\) |
0.0854905 | + | 0.996339i | \(0.472754\pi\) | |||||||
\(662\) | 18.1534 | + | 21.6344i | 0.705551 | + | 0.840843i | ||||
\(663\) | 6.12952 | − | 2.44242i | 0.238051 | − | 0.0948557i | ||||
\(664\) | 2.85258 | + | 0.502987i | 0.110702 | + | 0.0195197i | ||||
\(665\) | 41.2605 | − | 24.6854i | 1.60001 | − | 0.957258i | ||||
\(666\) | 24.1862 | − | 5.78491i | 0.937195 | − | 0.224161i | ||||
\(667\) | 7.21077 | 0.279202 | ||||||||
\(668\) | −1.85660 | + | 0.675747i | −0.0718340 | + | 0.0261454i | ||||
\(669\) | 29.4821 | − | 0.888253i | 1.13985 | − | 0.0343419i | ||||
\(670\) | 14.1992 | + | 16.9219i | 0.548563 | + | 0.653752i | ||||
\(671\) | −0.751806 | + | 0.630840i | −0.0290232 | + | 0.0243533i | ||||
\(672\) | 1.00099 | + | 4.47192i | 0.0386139 | + | 0.172508i | ||||
\(673\) | −20.9025 | + | 7.60789i | −0.805733 | + | 0.293263i | −0.711860 | − | 0.702322i | \(-0.752147\pi\) |
−0.0938727 | + | 0.995584i | \(0.529925\pi\) | |||||||
\(674\) | −0.255525 | + | 0.147527i | −0.00984246 | + | 0.00568254i | ||||
\(675\) | −7.27568 | − | 15.4776i | −0.280041 | − | 0.595734i | ||||
\(676\) | 6.25656 | − | 10.8367i | 0.240637 | − | 0.416795i | ||||
\(677\) | −5.48795 | − | 4.60494i | −0.210919 | − | 0.176982i | 0.531208 | − | 0.847242i | \(-0.321738\pi\) |
−0.742127 | + | 0.670259i | \(0.766183\pi\) | |||||||
\(678\) | −1.90941 | + | 0.396314i | −0.0733305 | + | 0.0152203i | ||||
\(679\) | −9.83124 | + | 28.3770i | −0.377288 | + | 1.08901i | ||||
\(680\) | −15.4818 | + | 2.72985i | −0.593698 | + | 0.104685i | ||||
\(681\) | −1.15129 | − | 38.2127i | −0.0441176 | − | 1.46431i | ||||
\(682\) | −0.535242 | − | 1.47057i | −0.0204955 | − | 0.0563109i | ||||
\(683\) | 8.19139 | − | 4.72930i | 0.313435 | − | 0.180962i | −0.335028 | − | 0.942208i | \(-0.608746\pi\) |
0.648463 | + | 0.761247i | \(0.275412\pi\) | |||||||
\(684\) | 1.13985 | + | 18.8993i | 0.0435833 | + | 0.722633i | ||||
\(685\) | −9.41977 | + | 5.43851i | −0.359911 | + | 0.207795i | ||||
\(686\) | −7.13929 | − | 17.0889i | −0.272579 | − | 0.652457i | ||||
\(687\) | 37.2714 | + | 29.4081i | 1.42199 | + | 1.12199i | ||||
\(688\) | −1.22118 | − | 6.92563i | −0.0465569 | − | 0.264037i | ||||
\(689\) | −2.93586 | + | 2.46348i | −0.111847 | + | 0.0938511i | ||||
\(690\) | −3.72981 | − | 9.36036i | −0.141991 | − | 0.356343i | ||||
\(691\) | 0.00588579 | + | 0.0161711i | 0.000223906 | + | 0.000615177i | 0.939805 | − | 0.341713i | \(-0.111007\pi\) |
−0.939581 | + | 0.342328i | \(0.888785\pi\) | |||||||
\(692\) | −3.39435 | − | 5.87918i | −0.129034 | − | 0.223493i | ||||
\(693\) | 5.55285 | − | 3.79397i | 0.210935 | − | 0.144121i | ||||
\(694\) | 2.58789 | − | 4.48235i | 0.0982349 | − | 0.170148i | ||||
\(695\) | −65.5131 | − | 11.5517i | −2.48505 | − | 0.438182i | ||||
\(696\) | −5.25818 | + | 3.25078i | −0.199311 | + | 0.123221i | ||||
\(697\) | 52.3061 | + | 19.0379i | 1.98124 | + | 0.721111i | ||||
\(698\) | −16.6472 | − | 6.05907i | −0.630104 | − | 0.229339i | ||||
\(699\) | −2.94190 | − | 14.1739i | −0.111273 | − | 0.536105i | ||||
\(700\) | 1.37857 | − | 8.59831i | 0.0521049 | − | 0.324986i | ||||
\(701\) | − | 18.0981i | − | 0.683556i | −0.939781 | − | 0.341778i | \(-0.888971\pi\) | ||
0.939781 | − | 0.341778i | \(-0.111029\pi\) | |||||||
\(702\) | −3.29072 | − | 1.52212i | −0.124200 | − | 0.0574487i | ||||
\(703\) | 45.3075 | + | 26.1583i | 1.70880 | + | 0.986578i | ||||
\(704\) | −0.834423 | − | 0.147131i | −0.0314485 | − | 0.00554522i | ||||
\(705\) | −13.1991 | + | 39.9706i | −0.497107 | + | 1.50538i | ||||
\(706\) | −15.9273 | − | 18.9814i | −0.599431 | − | 0.714374i | ||||
\(707\) | 9.71693 | + | 50.5006i | 0.365443 | + | 1.89927i | ||||
\(708\) | 4.39348 | − | 2.71620i | 0.165117 | − | 0.102081i | ||||
\(709\) | 2.47712 | − | 14.0484i | 0.0930301 | − | 0.527600i | −0.902303 | − | 0.431102i | \(-0.858125\pi\) |
0.995333 | − | 0.0964978i | \(-0.0307641\pi\) | |||||||
\(710\) | −16.9118 | − | 29.2920i | −0.634687 | − | 1.09931i | ||||
\(711\) | −19.3326 | + | 18.3149i | −0.725031 | + | 0.686861i | ||||
\(712\) | −0.116227 | − | 0.0671038i | −0.00435580 | − | 0.00251482i | ||||
\(713\) | −0.647968 | + | 3.67481i | −0.0242666 | + | 0.137623i | ||||
\(714\) | −3.21494 | + | 24.8113i | −0.120316 | + | 0.928540i | ||||
\(715\) | −1.59972 | − | 0.582250i | −0.0598261 | − | 0.0217749i | ||||
\(716\) | 20.0321 | − | 3.53221i | 0.748636 | − | 0.132005i | ||||
\(717\) | −4.35173 | + | 29.9241i | −0.162518 | + | 1.11753i | ||||
\(718\) | −4.48467 | − | 3.76308i | −0.167366 | − | 0.140437i | ||||
\(719\) | 8.91553 | − | 15.4422i | 0.332493 | − | 0.575895i | −0.650507 | − | 0.759500i | \(-0.725443\pi\) |
0.983000 | + | 0.183605i | \(0.0587768\pi\) | |||||||
\(720\) | 6.93969 | + | 5.14421i | 0.258627 | + | 0.191713i | ||||
\(721\) | 10.2673 | − | 6.14276i | 0.382376 | − | 0.228768i | ||||
\(722\) | −13.3902 | + | 15.9578i | −0.498331 | + | 0.593887i | ||||
\(723\) | 21.2765 | + | 34.4150i | 0.791281 | + | 1.27991i | ||||
\(724\) | −0.729620 | + | 2.00461i | −0.0271161 | + | 0.0745009i | ||||
\(725\) | 11.5688 | − | 2.03990i | 0.429655 | − | 0.0757598i | ||||
\(726\) | −3.61929 | − | 17.4375i | −0.134324 | − | 0.647165i | ||||
\(727\) | −11.8350 | − | 32.5165i | −0.438937 | − | 1.20597i | −0.940184 | − | 0.340666i | \(-0.889348\pi\) |
0.501247 | − | 0.865304i | \(-0.332875\pi\) | |||||||
\(728\) | −0.947816 | − | 1.58423i | −0.0351284 | − | 0.0587155i | ||||
\(729\) | 9.07748 | − | 25.4283i | 0.336203 | − | 0.941790i | ||||
\(730\) | −7.21334 | − | 12.4939i | −0.266978 | − | 0.462419i | ||||
\(731\) | 6.66705 | − | 37.8107i | 0.246590 | − | 1.39848i | ||||
\(732\) | −1.49732 | + | 1.33527i | −0.0553425 | + | 0.0493529i | ||||
\(733\) | 18.0919 | − | 49.7070i | 0.668238 | − | 1.83597i | 0.133303 | − | 0.991075i | \(-0.457442\pi\) |
0.534935 | − | 0.844893i | \(-0.320336\pi\) | |||||||
\(734\) | −2.45644 | − | 13.9311i | −0.0906687 | − | 0.514208i | ||||
\(735\) | −31.2460 | − | 15.5730i | −1.15253 | − | 0.574419i | ||||
\(736\) | 1.54765 | + | 1.29863i | 0.0570472 | + | 0.0478683i | ||||
\(737\) | 6.50008i | 0.239433i | ||||||||
\(738\) | −12.1726 | − | 28.0602i | −0.448081 | − | 1.03291i | ||||
\(739\) | 34.3648 | 1.26413 | 0.632065 | − | 0.774916i | \(-0.282208\pi\) | ||||
0.632065 | + | 0.774916i | \(0.282208\pi\) | |||||||
\(740\) | 22.4298 | − | 8.16377i | 0.824535 | − | 0.300106i | ||||
\(741\) | −2.82343 | − | 7.08571i | −0.103721 | − | 0.260300i | ||||
\(742\) | −2.74574 | − | 14.2701i | −0.100799 | − | 0.523872i | ||||
\(743\) | 17.7261 | − | 48.7022i | 0.650309 | − | 1.78671i | 0.0337120 | − | 0.999432i | \(-0.489267\pi\) |
0.616597 | − | 0.787279i | \(-0.288511\pi\) | |||||||
\(744\) | −1.18418 | − | 2.97183i | −0.0434142 | − | 0.108953i | ||||
\(745\) | 36.7712 | − | 43.8222i | 1.34719 | − | 1.60552i | ||||
\(746\) | 30.1599i | 1.10423i | ||||||||
\(747\) | −2.02142 | − | 8.45138i | −0.0739600 | − | 0.309220i | ||||
\(748\) | −4.00610 | − | 2.31292i | −0.146477 | − | 0.0845688i | ||||
\(749\) | 16.6866 | + | 43.7178i | 0.609715 | + | 1.59741i | ||||
\(750\) | 4.48114 | + | 7.24831i | 0.163628 | + | 0.264671i | ||||
\(751\) | −18.3120 | + | 15.3656i | −0.668216 | + | 0.560700i | −0.912537 | − | 0.408995i | \(-0.865879\pi\) |
0.244321 | + | 0.969694i | \(0.421435\pi\) | |||||||
\(752\) | −1.46559 | − | 8.31176i | −0.0534445 | − | 0.303099i | ||||
\(753\) | 43.0390 | − | 8.93309i | 1.56843 | − | 0.325540i | ||||
\(754\) | 1.60081 | − | 1.90777i | 0.0582981 | − | 0.0694769i | ||||
\(755\) | 20.6177 | 0.750355 | ||||||||
\(756\) | 11.1125 | − | 8.09399i | 0.404157 | − | 0.294376i | ||||
\(757\) | 15.6345 | 0.568244 | 0.284122 | − | 0.958788i | \(-0.408298\pi\) | ||||
0.284122 | + | 0.958788i | \(0.408298\pi\) | |||||||
\(758\) | −12.7281 | + | 15.1688i | −0.462306 | + | 0.550955i | ||||
\(759\) | 0.929703 | − | 2.81540i | 0.0337461 | − | 0.102193i | ||||
\(760\) | 3.15570 | + | 17.8969i | 0.114469 | + | 0.649188i | ||||
\(761\) | −34.5201 | + | 28.9658i | −1.25135 | + | 1.05001i | −0.254803 | + | 0.966993i | \(0.582011\pi\) |
−0.996548 | + | 0.0830152i | \(0.973545\pi\) | |||||||
\(762\) | 14.0217 | − | 26.0692i | 0.507954 | − | 0.944389i | ||||
\(763\) | 14.1129 | + | 11.4728i | 0.510921 | + | 0.415343i | ||||
\(764\) | 6.10996 | + | 3.52759i | 0.221051 | + | 0.127624i | ||||
\(765\) | 25.9970 | + | 39.3496i | 0.939922 | + | 1.42269i | ||||
\(766\) | − | 17.6207i | − | 0.636661i | ||||||
\(767\) | −1.33756 | + | 1.59404i | −0.0482965 | + | 0.0575575i | ||||
\(768\) | −1.71402 | − | 0.249263i | −0.0618494 | − | 0.00899450i | ||||
\(769\) | −5.42624 | + | 14.9085i | −0.195675 | + | 0.537613i | −0.998263 | − | 0.0589215i | \(-0.981234\pi\) |
0.802588 | + | 0.596534i | \(0.203456\pi\) | |||||||
\(770\) | 4.87968 | − | 4.22562i | 0.175852 | − | 0.152281i | ||||
\(771\) | 26.1686 | − | 33.1658i | 0.942438 | − | 1.19444i | ||||
\(772\) | 6.76320 | − | 2.46160i | 0.243413 | − | 0.0885950i | ||||
\(773\) | 22.1015 | 0.794935 | 0.397468 | − | 0.917616i | \(-0.369889\pi\) | ||||
0.397468 | + | 0.917616i | \(0.369889\pi\) | |||||||
\(774\) | −17.6027 | + | 11.6295i | −0.632716 | + | 0.418014i | ||||
\(775\) | 6.07910i | 0.218368i | ||||||||
\(776\) | −8.69532 | − | 7.29624i | −0.312144 | − | 0.261920i | ||||
\(777\) | −1.73447 | − | 37.9475i | −0.0622239 | − | 1.36136i | ||||
\(778\) | −0.160910 | − | 0.912563i | −0.00576889 | − | 0.0327170i | ||||
\(779\) | 22.0077 | − | 60.4658i | 0.788509 | − | 2.16641i | ||||
\(780\) | −3.30452 | − | 1.09122i | −0.118321 | − | 0.0390720i | ||||
\(781\) | 1.72827 | − | 9.80150i | 0.0618423 | − | 0.350725i | ||||
\(782\) | 5.51499 | + | 9.55225i | 0.197216 | + | 0.341588i | ||||
\(783\) | 15.2246 | + | 10.5904i | 0.544083 | + | 0.378469i | ||||
\(784\) | 6.99661 | − | 0.217750i | 0.249879 | − | 0.00777678i | ||||
\(785\) | 22.0004 | + | 60.4456i | 0.785227 | + | 2.15739i | ||||
\(786\) | −27.6049 | − | 9.11571i | −0.984635 | − | 0.325147i | ||||
\(787\) | −38.1905 | + | 6.73402i | −1.36134 | + | 0.240042i | −0.806166 | − | 0.591689i | \(-0.798461\pi\) |
−0.555179 | + | 0.831731i | \(0.687350\pi\) | |||||||
\(788\) | 4.48119 | − | 12.3120i | 0.159636 | − | 0.438596i | ||||
\(789\) | 4.75322 | − | 8.83718i | 0.169219 | − | 0.314612i | ||||
\(790\) | −16.4301 | + | 19.5806i | −0.584555 | + | 0.696646i | ||||
\(791\) | 0.0463371 | + | 2.97848i | 0.00164756 | + | 0.105902i | ||||
\(792\) | 0.591296 | + | 2.47216i | 0.0210108 | + | 0.0878443i | ||||
\(793\) | 0.404107 | − | 0.699934i | 0.0143503 | − | 0.0248554i | ||||
\(794\) | −20.1189 | − | 16.8818i | −0.713995 | − | 0.599113i | ||||
\(795\) | −21.5053 | − | 16.9682i | −0.762714 | − | 0.601799i | ||||
\(796\) | −9.68008 | + | 1.70686i | −0.343101 | + | 0.0604980i | ||||
\(797\) | −33.0538 | − | 12.0306i | −1.17082 | − | 0.426145i | −0.317872 | − | 0.948134i | \(-0.602968\pi\) |
−0.852952 | + | 0.521989i | \(0.825190\pi\) | |||||||
\(798\) | 28.6818 | + | 3.71646i | 1.01533 | + | 0.131561i | ||||
\(799\) | 8.00143 | − | 45.3783i | 0.283070 | − | 1.60537i | ||||
\(800\) | 2.85040 | + | 1.64568i | 0.100777 | + | 0.0581836i | ||||
\(801\) | −0.0459173 | + | 0.399996i | −0.00162241 | + | 0.0141332i | ||||
\(802\) | 0.0534220 | + | 0.0925296i | 0.00188640 | + | 0.00326733i | ||||
\(803\) | 0.737155 | − | 4.18061i | 0.0260136 | − | 0.147531i | ||||
\(804\) | 0.400152 | + | 13.2815i | 0.0141123 | + | 0.468402i | ||||
\(805\) | −15.1143 | + | 2.90817i | −0.532708 | + | 0.102499i | ||||
\(806\) | 0.828402 | + | 0.987251i | 0.0291792 | + | 0.0347744i | ||||
\(807\) | 28.1530 | − | 5.84339i | 0.991033 | − | 0.205697i | ||||
\(808\) | −19.1423 | − | 3.37530i | −0.673422 | − | 0.118743i | ||||
\(809\) | 17.9127 | + | 10.3419i | 0.629778 | + | 0.363602i | 0.780666 | − | 0.624948i | \(-0.214880\pi\) |
−0.150888 | + | 0.988551i | \(0.548213\pi\) | |||||||
\(810\) | 5.87246 | − | 25.2411i | 0.206337 | − | 0.886883i | ||||
\(811\) | − | 11.0037i | − | 0.386391i | −0.981160 | − | 0.193196i | \(-0.938115\pi\) | ||
0.981160 | − | 0.193196i | \(-0.0618852\pi\) | |||||||
\(812\) | 3.36735 | + | 8.82224i | 0.118171 | + | 0.309600i | ||||
\(813\) | −23.6517 | − | 7.81029i | −0.829502 | − | 0.273919i | ||||
\(814\) | 6.60005 | + | 2.40222i | 0.231332 | + | 0.0841978i | ||||
\(815\) | 60.0178 | + | 21.8447i | 2.10233 | + | 0.765186i | ||||
\(816\) | −8.32798 | − | 4.47933i | −0.291538 | − | 0.156808i | ||||
\(817\) | −43.7091 | − | 7.70710i | −1.52919 | − | 0.269637i | ||||
\(818\) | −15.6933 | + | 27.1815i | −0.548702 | + | 0.950380i | ||||
\(819\) | −3.22850 | + | 4.50001i | −0.112813 | + | 0.157243i | ||||
\(820\) | −14.6789 | − | 25.4246i | −0.512610 | − | 0.887866i | ||||
\(821\) | 10.3052 | + | 28.3133i | 0.359654 | + | 0.988143i | 0.979149 | + | 0.203142i | \(0.0651152\pi\) |
−0.619495 | + | 0.785001i | \(0.712663\pi\) | |||||||
\(822\) | −6.47460 | − | 0.941575i | −0.225828 | − | 0.0328412i | ||||
\(823\) | 7.55659 | − | 6.34073i | 0.263406 | − | 0.221024i | −0.501513 | − | 0.865150i | \(-0.667223\pi\) |
0.764919 | + | 0.644126i | \(0.222779\pi\) | |||||||
\(824\) | 0.785271 | + | 4.45349i | 0.0273562 | + | 0.155145i | ||||
\(825\) | 0.695134 | − | 4.77999i | 0.0242014 | − | 0.166418i | ||||
\(826\) | −2.81359 | − | 7.37143i | −0.0978974 | − | 0.256485i | ||||
\(827\) | −28.6798 | + | 16.5583i | −0.997295 | + | 0.575788i | −0.907447 | − | 0.420167i | \(-0.861971\pi\) |
−0.0898479 | + | 0.995956i | \(0.528638\pi\) | |||||||
\(828\) | 1.72633 | − | 5.80989i | 0.0599940 | − | 0.201908i | ||||
\(829\) | −11.8766 | + | 6.85696i | −0.412492 | + | 0.238152i | −0.691860 | − | 0.722032i | \(-0.743208\pi\) |
0.279368 | + | 0.960184i | \(0.409875\pi\) | |||||||
\(830\) | −2.85267 | − | 7.83764i | −0.0990176 | − | 0.272049i | ||||
\(831\) | 41.6991 | + | 22.4285i | 1.44653 | + | 0.778037i | ||||
\(832\) | 0.687165 | − | 0.121166i | 0.0238232 | − | 0.00420067i | ||||
\(833\) | 36.3012 | + | 11.9475i | 1.25776 | + | 0.413955i | ||||
\(834\) | −26.6327 | − | 29.8649i | −0.922214 | − | 1.03414i | ||||
\(835\) | 4.35812 | + | 3.65690i | 0.150819 | + | 0.126552i | ||||
\(836\) | −2.67373 | + | 4.63104i | −0.0924730 | + | 0.160168i | ||||
\(837\) | −6.76525 | + | 6.80721i | −0.233841 | + | 0.235292i | ||||
\(838\) | 26.0002 | − | 15.0112i | 0.898161 | − | 0.518553i | ||||
\(839\) | 11.3561 | − | 4.13327i | 0.392055 | − | 0.142696i | −0.138468 | − | 0.990367i | \(-0.544218\pi\) |
0.530523 | + | 0.847671i | \(0.321996\pi\) | |||||||
\(840\) | 9.71044 | − | 8.93453i | 0.335042 | − | 0.308271i | ||||
\(841\) | 12.4569 | − | 10.4526i | 0.429548 | − | 0.360433i | ||||
\(842\) | 13.4385 | + | 16.0153i | 0.463120 | + | 0.551925i | ||||
\(843\) | −0.0303089 | − | 0.0490251i | −0.00104390 | − | 0.00168852i | ||||
\(844\) | 4.23258 | − | 1.54053i | 0.145691 | − | 0.0530274i | ||||
\(845\) | −36.0312 | −1.23951 | ||||||||
\(846\) | −21.1258 | + | 13.9571i | −0.726319 | + | 0.479855i | ||||
\(847\) | −27.2006 | + | 0.423168i | −0.934622 | + | 0.0145402i | ||||
\(848\) | 5.40908 | + | 0.953766i | 0.185749 | + | 0.0327525i | ||||
\(849\) | −0.589991 | + | 4.05699i | −0.0202485 | + | 0.139236i | ||||
\(850\) | 11.5504 | + | 13.7653i | 0.396177 | + | 0.472145i | ||||
\(851\) | −10.7650 | − | 12.8292i | −0.369018 | − | 0.439779i | ||||
\(852\) | 2.92795 | − | 20.1336i | 0.100310 | − | 0.689767i | ||||
\(853\) | 5.06495 | + | 0.893087i | 0.173421 | + | 0.0305787i | 0.259684 | − | 0.965694i | \(-0.416382\pi\) |
−0.0862635 | + | 0.996272i | \(0.527493\pi\) | |||||||
\(854\) | 1.57337 | + | 2.62982i | 0.0538396 | + | 0.0899905i | ||||
\(855\) | 45.4880 | − | 30.0524i | 1.55566 | − | 1.02777i | ||||
\(856\) | −17.6865 | −0.604513 | ||||||||
\(857\) | 10.1638 | − | 3.69934i | 0.347190 | − | 0.126367i | −0.162538 | − | 0.986702i | \(-0.551968\pi\) |
0.509729 | + | 0.860335i | \(0.329746\pi\) | |||||||
\(858\) | −0.538481 | − | 0.871000i | −0.0183834 | − | 0.0297354i | ||||
\(859\) | −33.0129 | − | 39.3432i | −1.12638 | − | 1.34237i | −0.932425 | − | 0.361364i | \(-0.882311\pi\) |
−0.193960 | − | 0.981009i | \(-0.562133\pi\) | |||||||
\(860\) | −15.5122 | + | 13.0163i | −0.528963 | + | 0.443853i | ||||
\(861\) | −45.5937 | + | 10.2056i | −1.55383 | + | 0.347806i | ||||
\(862\) | 12.0878 | − | 4.39959i | 0.411711 | − | 0.149851i | ||||
\(863\) | −49.3380 | + | 28.4853i | −1.67949 | + | 0.969651i | −0.717497 | + | 0.696562i | \(0.754712\pi\) |
−0.961989 | + | 0.273090i | \(0.911954\pi\) | |||||||
\(864\) | 1.36037 | + | 5.01492i | 0.0462809 | + | 0.170611i | ||||
\(865\) | −9.77393 | + | 16.9289i | −0.332324 | + | 0.575601i | ||||
\(866\) | 7.14406 | + | 5.99458i | 0.242765 | + | 0.203704i | ||||
\(867\) | −14.7633 | − | 16.5550i | −0.501388 | − | 0.562237i | ||||
\(868\) | −4.79865 | + | 0.923318i | −0.162877 | + | 0.0313394i | ||||
\(869\) | −7.40705 | + | 1.30606i | −0.251267 | + | 0.0443051i | ||||
\(870\) | 15.6769 | + | 8.43205i | 0.531495 | + | 0.285873i | ||||
\(871\) | −1.83082 | − | 5.03013i | −0.0620349 | − | 0.170439i | ||||
\(872\) | −5.95338 | + | 3.43719i | −0.201607 | + | 0.116398i | ||||
\(873\) | −9.69920 | + | 32.6423i | −0.328268 | + | 1.10477i | ||||
\(874\) | 11.0424 | − | 6.37532i | 0.373514 | − | 0.215648i | ||||
\(875\) | 12.1613 | − | 4.64183i | 0.411127 | − | 0.156922i | ||||
\(876\) | 1.24885 | − | 8.58756i | 0.0421948 | − | 0.290147i | ||||
\(877\) | −7.63595 | − | 43.3056i | −0.257848 | − | 1.46233i | −0.788656 | − | 0.614834i | \(-0.789223\pi\) |
0.530809 | − | 0.847492i | \(-0.321888\pi\) | |||||||
\(878\) | 22.4166 | − | 18.8097i | 0.756522 | − | 0.634798i | ||||
\(879\) | −6.35657 | − | 0.924410i | −0.214402 | − | 0.0311796i | ||||
\(880\) | 0.834449 | + | 2.29263i | 0.0281293 | + | 0.0772845i | ||||
\(881\) | −5.52087 | − | 9.56242i | −0.186003 | − | 0.322166i | 0.757911 | − | 0.652358i | \(-0.226220\pi\) |
−0.943914 | + | 0.330192i | \(0.892887\pi\) | |||||||
\(882\) | −8.95265 | − | 18.9961i | −0.301451 | − | 0.639630i | ||||
\(883\) | 12.7525 | − | 22.0880i | 0.429156 | − | 0.743320i | −0.567643 | − | 0.823275i | \(-0.692144\pi\) |
0.996798 | + | 0.0799555i | \(0.0254778\pi\) | |||||||
\(884\) | 3.75161 | + | 0.661509i | 0.126180 | + | 0.0222490i | ||||
\(885\) | −13.0988 | − | 7.04541i | −0.440312 | − | 0.236829i | ||||
\(886\) | −14.3129 | − | 5.20946i | −0.480850 | − | 0.175015i | ||||
\(887\) | −33.0451 | − | 12.0274i | −1.10955 | − | 0.403842i | −0.278720 | − | 0.960373i | \(-0.589910\pi\) |
−0.830827 | + | 0.556531i | \(0.812132\pi\) | |||||||
\(888\) | 13.6336 | + | 4.50211i | 0.457515 | + | 0.151081i | ||||
\(889\) | −35.0855 | − | 28.5221i | −1.17673 | − | 0.956599i | ||||
\(890\) | 0.386447i | 0.0129537i | ||||||||
\(891\) | 6.09790 | − | 4.57891i | 0.204287 | − | 0.153399i | ||||
\(892\) | 14.7478 | + | 8.51462i | 0.493791 | + | 0.285091i | ||||
\(893\) | −52.4573 | − | 9.24963i | −1.75542 | − | 0.309527i | ||||
\(894\) | 33.6922 | − | 6.99309i | 1.12684 | − | 0.233884i | ||||
\(895\) | −37.6492 | − | 44.8686i | −1.25848 | − | 1.49979i | ||||
\(896\) | −0.866117 | + | 2.49997i | −0.0289349 | + | 0.0835181i | ||||
\(897\) | 0.0735310 | + | 2.44058i | 0.00245513 | + | 0.0814885i | ||||
\(898\) | −2.04646 | + | 11.6060i | −0.0682911 | + | 0.387298i | ||||
\(899\) | −3.29607 | − | 5.70896i | −0.109930 | − | 0.190404i | ||||
\(900\) | 1.12609 | − | 9.80966i | 0.0375365 | − | 0.326989i | ||||
\(901\) | 25.9692 | + | 14.9933i | 0.865159 | + | 0.499500i | ||||
\(902\) | 1.50009 | − | 8.50741i | 0.0499474 | − | 0.283266i | ||||
\(903\) | 12.3934 | + | 29.7484i | 0.412428 | + | 0.989966i | ||||
\(904\) | −1.05799 | − | 0.385078i | −0.0351884 | − | 0.0128075i | ||||
\(905\) | 6.04936 | − | 1.06666i | 0.201087 | − | 0.0354571i | ||||
\(906\) | 9.73616 | + | 7.68207i | 0.323462 | + | 0.255220i | ||||
\(907\) | 18.6551 | + | 15.6535i | 0.619432 | + | 0.519766i | 0.897625 | − | 0.440760i | \(-0.145291\pi\) |
−0.278193 | + | 0.960525i | \(0.589735\pi\) | |||||||
\(908\) | 11.0361 | − | 19.1150i | 0.366244 | − | 0.634354i | ||||
\(909\) | 13.5648 | + | 56.7130i | 0.449914 | + | 1.88105i | ||||
\(910\) | −2.58599 | + | 4.64444i | −0.0857246 | + | 0.153962i | ||||
\(911\) | −7.04092 | + | 8.39104i | −0.233276 | + | 0.278008i | −0.869965 | − | 0.493113i | \(-0.835859\pi\) |
0.636689 | + | 0.771120i | \(0.280303\pi\) | |||||||
\(912\) | −5.17810 | + | 9.62712i | −0.171464 | + | 0.318786i | ||||
\(913\) | 0.839409 | − | 2.30626i | 0.0277804 | − | 0.0763260i | ||||
\(914\) | 3.11621 | − | 0.549471i | 0.103075 | − | 0.0181749i | ||||
\(915\) | 5.48549 | + | 1.81142i | 0.181345 | + | 0.0598838i | ||||
\(916\) | 9.37492 | + | 25.7574i | 0.309756 | + | 0.851048i | ||||
\(917\) | −21.6025 | + | 38.7982i | −0.713377 | + | 1.28123i | ||||
\(918\) | −2.38510 | + | 28.2681i | −0.0787200 | + | 0.932988i | ||||
\(919\) | −4.78929 | − | 8.29529i | −0.157984 | − | 0.273637i | 0.776157 | − | 0.630539i | \(-0.217166\pi\) |
−0.934142 | + | 0.356903i | \(0.883833\pi\) | |||||||
\(920\) | 1.01019 | − | 5.72906i | 0.0333049 | − | 0.188882i | ||||
\(921\) | −9.05241 | − | 2.98929i | −0.298287 | − | 0.0985005i | ||||
\(922\) | −1.73607 | + | 4.76981i | −0.0571744 | + | 0.157085i | ||||
\(923\) | 1.42327 | + | 8.07174i | 0.0468474 | + | 0.265685i | ||||
\(924\) | 3.87875 | − | 0.177287i | 0.127601 | − | 0.00583231i | ||||
\(925\) | −20.9004 | − | 17.5376i | −0.687202 | − | 0.576631i | ||||
\(926\) | 24.0637i | 0.790784i | ||||||||
\(927\) | 11.3193 | − | 7.47830i | 0.371775 | − | 0.245620i | ||||
\(928\) | −3.56913 | −0.117162 | ||||||||
\(929\) | 11.0891 | − | 4.03612i | 0.363823 | − | 0.132421i | −0.153639 | − | 0.988127i | \(-0.549099\pi\) |
0.517462 | + | 0.855706i | \(0.326877\pi\) | |||||||
\(930\) | −5.70594 | + | 7.23165i | −0.187105 | + | 0.237135i | ||||
\(931\) | 13.8112 | − | 41.9641i | 0.452645 | − | 1.37532i | ||||
\(932\) | 2.85850 | − | 7.85367i | 0.0936334 | − | 0.257256i | ||||
\(933\) | −16.7216 | − | 2.43175i | −0.547439 | − | 0.0796119i | ||||
\(934\) | 15.5066 | − | 18.4801i | 0.507393 | − | 0.604687i | ||||
\(935\) | 13.3200i | 0.435610i | ||||||||
\(936\) | −1.15389 | − | 1.74655i | −0.0377160 | − | 0.0570878i | ||||
\(937\) | −7.70004 | − | 4.44562i | −0.251549 | − | 0.145232i | 0.368924 | − | 0.929459i | \(-0.379726\pi\) |
−0.620473 | + | 0.784227i | \(0.713060\pi\) | |||||||
\(938\) | 20.0411 | + | 3.21318i | 0.654364 | + | 0.104914i | ||||
\(939\) | −11.4714 | + | 21.3276i | −0.374355 | + | 0.696000i | ||||
\(940\) | −18.6169 | + | 15.6215i | −0.607218 | + | 0.509516i | ||||
\(941\) | −4.00494 | − | 22.7131i | −0.130557 | − | 0.740427i | −0.977851 | − | 0.209302i | \(-0.932881\pi\) |
0.847294 | − | 0.531124i | \(-0.178230\pi\) | |||||||
\(942\) | −12.1327 | + | 36.7411i | −0.395303 | + | 1.19709i | ||||
\(943\) | −13.2403 | + | 15.7792i | −0.431163 | + | 0.513841i | ||||
\(944\) | 2.98219 | 0.0970621 | ||||||||
\(945\) | −36.1830 | − | 16.0579i | −1.17703 | − | 0.522365i | ||||
\(946\) | −5.95858 | −0.193730 | ||||||||
\(947\) | 10.1781 | − | 12.1298i | 0.330744 | − | 0.394166i | −0.574886 | − | 0.818233i | \(-0.694954\pi\) |
0.905631 | + | 0.424068i | \(0.139398\pi\) | |||||||
\(948\) | −15.0543 | + | 3.12464i | −0.488941 | + | 0.101484i | ||||
\(949\) | 0.607063 | + | 3.44282i | 0.0197061 | + | 0.111759i | ||||
\(950\) | 15.9126 | − | 13.3523i | 0.516274 | − | 0.433205i | ||||
\(951\) | −6.64446 | − | 10.7475i | −0.215461 | − | 0.348512i | ||||
\(952\) | −9.11155 | + | 11.2083i | −0.295307 | + | 0.363262i | ||||
\(953\) | 33.6913 | + | 19.4517i | 1.09137 | + | 0.630101i | 0.933940 | − | 0.357429i | \(-0.116347\pi\) |
0.157427 | + | 0.987531i | \(0.449680\pi\) | |||||||
\(954\) | −3.83303 | − | 16.0255i | −0.124099 | − | 0.518846i | ||||
\(955\) | − | 20.3152i | − | 0.657384i | ||||||
\(956\) | −11.2220 | + | 13.3739i | −0.362947 | + | 0.432543i | ||||
\(957\) | 1.93888 | + | 4.86584i | 0.0626752 | + | 0.157290i | ||||
\(958\) | −2.82292 | + | 7.75592i | −0.0912045 | + | 0.250582i | ||||
\(959\) | −3.27170 | + | 9.44347i | −0.105649 | + | 0.304945i | ||||
\(960\) | 1.84615 | + | 4.63312i | 0.0595843 | + | 0.149533i | ||||
\(961\) | −25.9248 | + | 9.43587i | −0.836285 | + | 0.304383i | ||||
\(962\) | −5.78410 | −0.186487 | ||||||||
\(963\) | 21.1162 | + | 48.6767i | 0.680460 | + | 1.56859i | ||||
\(964\) | 23.3601i | 0.752378i | ||||||||
\(965\) | −15.8757 | − | 13.3213i | −0.511057 | − | 0.428828i | ||||
\(966\) | −8.22088 | − | 4.25820i | −0.264502 | − | 0.137005i | ||||
\(967\) | −4.38055 | − | 24.8433i | −0.140869 | − | 0.798908i | −0.970592 | − | 0.240732i | \(-0.922613\pi\) |
0.829723 | − | 0.558176i | \(-0.188499\pi\) | |||||||
\(968\) | 3.51668 | − | 9.66200i | 0.113030 | − | 0.310549i | ||||
\(969\) | −44.5416 | + | 39.7210i | −1.43088 | + | 1.27602i | ||||
\(970\) | −5.67564 | + | 32.1882i | −0.182234 | + | 1.03350i | ||||
\(971\) | 3.39219 | + | 5.87545i | 0.108861 | + | 0.188552i | 0.915309 | − | 0.402752i | \(-0.131946\pi\) |
−0.806448 | + | 0.591305i | \(0.798613\pi\) | |||||||
\(972\) | 12.1778 | − | 9.73140i | 0.390605 | − | 0.312135i | ||||
\(973\) | −52.4532 | + | 31.3818i | −1.68157 | + | 1.00605i | ||||
\(974\) | −3.40764 | − | 9.36241i | −0.109188 | − | 0.299991i | ||||
\(975\) | 0.808401 | + | 3.89482i | 0.0258895 | + | 0.124734i | ||||
\(976\) | −1.14069 | + | 0.201135i | −0.0365127 | + | 0.00643817i | ||||
\(977\) | 14.4352 | − | 39.6603i | 0.461821 | − | 1.26884i | −0.462293 | − | 0.886727i | \(-0.652973\pi\) |
0.924114 | − | 0.382117i | \(-0.124805\pi\) | |||||||
\(978\) | 20.2026 | + | 32.6779i | 0.646007 | + | 1.04493i | ||||
\(979\) | −0.0730937 | + | 0.0871097i | −0.00233608 | + | 0.00278404i | ||||
\(980\) | −10.6163 | − | 17.1339i | −0.339125 | − | 0.547323i | ||||
\(981\) | 16.5676 | + | 12.2811i | 0.528964 | + | 0.392107i | ||||
\(982\) | −12.0315 | + | 20.8391i | −0.383939 | + | 0.665002i | ||||
\(983\) | 2.99823 | + | 2.51581i | 0.0956286 | + | 0.0802419i | 0.689349 | − | 0.724430i | \(-0.257897\pi\) |
−0.593720 | + | 0.804672i | \(0.702341\pi\) | |||||||
\(984\) | 2.54138 | − | 17.4754i | 0.0810161 | − | 0.557095i | ||||
\(985\) | −37.1541 | + | 6.55126i | −1.18383 | + | 0.208741i | ||||
\(986\) | −18.3107 | − | 6.66454i | −0.583130 | − | 0.212242i | ||||
\(987\) | 14.8739 | + | 35.7024i | 0.473442 | + | 1.13642i | ||||
\(988\) | 0.764703 | − | 4.33685i | 0.0243284 | − | 0.137973i | ||||
\(989\) | 12.3043 | + | 7.10390i | 0.391255 | + | 0.225891i | ||||
\(990\) | 5.31350 | − | 5.03377i | 0.168874 | − | 0.159984i | ||||
\(991\) | −4.83430 | − | 8.37325i | −0.153567 | − | 0.265985i | 0.778970 | − | 0.627062i | \(-0.215743\pi\) |
−0.932536 | + | 0.361077i | \(0.882409\pi\) | |||||||
\(992\) | 0.320726 | − | 1.81893i | 0.0101831 | − | 0.0577510i | ||||
\(993\) | 41.6067 | − | 25.7226i | 1.32035 | − | 0.816283i | ||||
\(994\) | −29.3657 | − | 10.1738i | −0.931424 | − | 0.322693i | ||||
\(995\) | 18.1931 | + | 21.6817i | 0.576762 | + | 0.687358i | ||||
\(996\) | 1.57317 | − | 4.76401i | 0.0498479 | − | 0.150953i | ||||
\(997\) | 6.81472 | + | 1.20162i | 0.215824 | + | 0.0380557i | 0.280515 | − | 0.959850i | \(-0.409495\pi\) |
−0.0646903 | + | 0.997905i | \(0.520606\pi\) | |||||||
\(998\) | −11.4047 | − | 6.58453i | −0.361011 | − | 0.208430i | ||||
\(999\) | −3.88673 | − | 42.8976i | −0.122971 | − | 1.35722i |
(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 | 378.2.bf.a.101.16 | yes | 144 | |
7.5 | odd | 6 | 378.2.ba.a.47.1 | ✓ | 144 | ||
27.23 | odd | 18 | 378.2.ba.a.185.1 | yes | 144 | ||
189.131 | even | 18 | inner | 378.2.bf.a.131.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.ba.a.47.1 | ✓ | 144 | 7.5 | odd | 6 | ||
378.2.ba.a.185.1 | yes | 144 | 27.23 | odd | 18 | ||
378.2.bf.a.101.16 | yes | 144 | 1.1 | even | 1 | trivial | |
378.2.bf.a.131.16 | yes | 144 | 189.131 | even | 18 | inner |