Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(61,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bf (of order \(6\), degree \(2\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(92\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 61.16 | ||
Character | \(\chi\) | \(=\) | 360.61 |
Dual form | 360.2.bf.b.301.16 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.705423 | − | 1.22572i | −0.498809 | − | 0.866712i | ||||
\(3\) | 1.15336 | − | 1.29220i | 0.665891 | − | 0.746049i | ||||
\(4\) | −1.00476 | + | 1.72930i | −0.502379 | + | 0.864648i | ||||
\(5\) | −0.866025 | + | 0.500000i | −0.387298 | + | 0.223607i | ||||
\(6\) | −2.39747 | − | 0.502143i | −0.978762 | − | 0.204999i | ||||
\(7\) | 0.807871 | − | 1.39927i | 0.305347 | − | 0.528876i | −0.671992 | − | 0.740559i | \(-0.734561\pi\) |
0.977338 | + | 0.211683i | \(0.0678943\pi\) | |||||||
\(8\) | 2.82840 | + | 0.0116626i | 0.999991 | + | 0.00412335i | ||||
\(9\) | −0.339538 | − | 2.98072i | −0.113179 | − | 0.993575i | ||||
\(10\) | 1.22377 | + | 0.708789i | 0.386991 | + | 0.224139i | ||||
\(11\) | −4.25826 | − | 2.45851i | −1.28391 | − | 0.741268i | −0.306352 | − | 0.951918i | \(-0.599108\pi\) |
−0.977561 | + | 0.210651i | \(0.932442\pi\) | |||||||
\(12\) | 1.07574 | + | 3.29284i | 0.310541 | + | 0.950560i | ||||
\(13\) | 2.37410 | − | 1.37069i | 0.658458 | − | 0.380161i | −0.133231 | − | 0.991085i | \(-0.542535\pi\) |
0.791689 | + | 0.610924i | \(0.209202\pi\) | |||||||
\(14\) | −2.28500 | − | 0.00314063i | −0.610693 | − | 0.000839370i | ||||
\(15\) | −0.352738 | + | 1.69575i | −0.0910766 | + | 0.437841i | ||||
\(16\) | −1.98092 | − | 3.47504i | −0.495231 | − | 0.868761i | ||||
\(17\) | −2.56736 | −0.622676 | −0.311338 | − | 0.950299i | \(-0.600777\pi\) | ||||
−0.311338 | + | 0.950299i | \(0.600777\pi\) | |||||||
\(18\) | −3.41400 | + | 2.51885i | −0.804688 | + | 0.593698i | ||||
\(19\) | − | 5.12707i | − | 1.17623i | −0.808777 | − | 0.588116i | \(-0.799870\pi\) | ||
0.808777 | − | 0.588116i | \(-0.200130\pi\) | |||||||
\(20\) | 0.00549781 | − | 1.99999i | 0.00122935 | − | 0.447212i | ||||
\(21\) | −0.876372 | − | 2.65779i | −0.191240 | − | 0.579977i | ||||
\(22\) | −0.00955755 | + | 6.95370i | −0.00203768 | + | 1.48253i | ||||
\(23\) | −1.57063 | − | 2.72041i | −0.327499 | − | 0.567246i | 0.654516 | − | 0.756049i | \(-0.272873\pi\) |
−0.982015 | + | 0.188803i | \(0.939539\pi\) | |||||||
\(24\) | 3.27723 | − | 3.64140i | 0.668961 | − | 0.743297i | ||||
\(25\) | 0.500000 | − | 0.866025i | 0.100000 | − | 0.173205i | ||||
\(26\) | −3.35482 | − | 1.94306i | −0.657934 | − | 0.381065i | ||||
\(27\) | −4.24329 | − | 2.99909i | −0.816621 | − | 0.577175i | ||||
\(28\) | 1.60804 | + | 2.80298i | 0.303892 | + | 0.529713i | ||||
\(29\) | 6.66963 | + | 3.85071i | 1.23852 | + | 0.715059i | 0.968791 | − | 0.247878i | \(-0.0797331\pi\) |
0.269727 | + | 0.962937i | \(0.413066\pi\) | |||||||
\(30\) | 2.32734 | − | 0.763866i | 0.424912 | − | 0.139462i | ||||
\(31\) | 2.32504 | + | 4.02708i | 0.417589 | + | 0.723285i | 0.995696 | − | 0.0926756i | \(-0.0295420\pi\) |
−0.578108 | + | 0.815961i | \(0.696209\pi\) | |||||||
\(32\) | −2.86203 | + | 4.87943i | −0.505940 | + | 0.862569i | ||||
\(33\) | −8.08816 | + | 2.66697i | −1.40797 | + | 0.464260i | ||||
\(34\) | 1.81107 | + | 3.14685i | 0.310597 | + | 0.539681i | ||||
\(35\) | 1.61574i | 0.273110i | ||||||||
\(36\) | 5.49571 | + | 2.40774i | 0.915951 | + | 0.401290i | ||||
\(37\) | 6.41455i | 1.05455i | 0.849696 | + | 0.527273i | \(0.176785\pi\) | ||||
−0.849696 | + | 0.527273i | \(0.823215\pi\) | |||||||
\(38\) | −6.28434 | + | 3.61675i | −1.01945 | + | 0.586715i | ||||
\(39\) | 0.966989 | − | 4.64870i | 0.154842 | − | 0.744387i | ||||
\(40\) | −2.45530 | + | 1.40410i | −0.388217 | + | 0.222008i | ||||
\(41\) | −4.46182 | − | 7.72810i | −0.696820 | − | 1.20693i | −0.969563 | − | 0.244840i | \(-0.921264\pi\) |
0.272744 | − | 0.962087i | \(-0.412069\pi\) | |||||||
\(42\) | −2.63948 | + | 2.94905i | −0.407281 | + | 0.455048i | ||||
\(43\) | 6.66233 | + | 3.84650i | 1.01600 | + | 0.586585i | 0.912941 | − | 0.408091i | \(-0.133805\pi\) |
0.103054 | + | 0.994676i | \(0.467139\pi\) | |||||||
\(44\) | 8.53000 | − | 4.89358i | 1.28595 | − | 0.737735i | ||||
\(45\) | 1.78441 | + | 2.41161i | 0.266004 | + | 0.359502i | ||||
\(46\) | −2.22650 | + | 3.84419i | −0.328279 | + | 0.566795i | ||||
\(47\) | 1.63638 | − | 2.83430i | 0.238691 | − | 0.413425i | −0.721648 | − | 0.692260i | \(-0.756615\pi\) |
0.960339 | + | 0.278836i | \(0.0899484\pi\) | |||||||
\(48\) | −6.77515 | − | 1.44822i | −0.977909 | − | 0.209033i | ||||
\(49\) | 2.19469 | + | 3.80131i | 0.313527 | + | 0.543044i | ||||
\(50\) | −1.41421 | − | 0.00194377i | −0.200000 | − | 0.000274891i | ||||
\(51\) | −2.96108 | + | 3.31753i | −0.414634 | + | 0.464547i | ||||
\(52\) | −0.0150716 | + | 5.48273i | −0.00209005 | + | 0.760318i | ||||
\(53\) | 4.51625i | 0.620354i | 0.950679 | + | 0.310177i | \(0.100388\pi\) | ||||
−0.950679 | + | 0.310177i | \(0.899612\pi\) | |||||||
\(54\) | −0.682717 | + | 7.31669i | −0.0929061 | + | 0.995675i | ||||
\(55\) | 4.91701 | 0.663010 | ||||||||
\(56\) | 2.30131 | − | 3.94829i | 0.307525 | − | 0.527612i | ||||
\(57\) | −6.62518 | − | 5.91334i | −0.877527 | − | 0.783242i | ||||
\(58\) | 0.0149698 | − | 10.8914i | 0.00196563 | − | 1.43012i | ||||
\(59\) | 4.37771 | − | 2.52747i | 0.569930 | − | 0.329049i | −0.187192 | − | 0.982323i | \(-0.559939\pi\) |
0.757121 | + | 0.653274i | \(0.226605\pi\) | |||||||
\(60\) | −2.57804 | − | 2.31381i | −0.332824 | − | 0.298711i | ||||
\(61\) | −6.74550 | − | 3.89452i | −0.863673 | − | 0.498642i | 0.00156774 | − | 0.999999i | \(-0.499501\pi\) |
−0.865240 | + | 0.501357i | \(0.832834\pi\) | |||||||
\(62\) | 3.29592 | − | 5.69063i | 0.418582 | − | 0.722710i | ||||
\(63\) | −4.44515 | − | 1.93293i | −0.560037 | − | 0.243527i | ||||
\(64\) | 7.99973 | + | 0.0659730i | 0.999966 | + | 0.00824663i | ||||
\(65\) | −1.37069 | + | 2.37410i | −0.170013 | + | 0.294471i | ||||
\(66\) | 8.97452 | + | 8.03244i | 1.10469 | + | 0.988726i | ||||
\(67\) | 9.10714 | − | 5.25801i | 1.11261 | − | 0.642368i | 0.173109 | − | 0.984903i | \(-0.444619\pi\) |
0.939505 | + | 0.342534i | \(0.111285\pi\) | |||||||
\(68\) | 2.57957 | − | 4.43972i | 0.312819 | − | 0.538396i | ||||
\(69\) | −5.32681 | − | 1.10804i | −0.641272 | − | 0.133393i | ||||
\(70\) | 1.98044 | − | 1.13978i | 0.236708 | − | 0.136230i | ||||
\(71\) | −3.72070 | −0.441566 | −0.220783 | − | 0.975323i | \(-0.570861\pi\) | ||||
−0.220783 | + | 0.975323i | \(0.570861\pi\) | |||||||
\(72\) | −0.925588 | − | 8.43465i | −0.109082 | − | 0.994033i | ||||
\(73\) | −5.46178 | −0.639253 | −0.319627 | − | 0.947544i | \(-0.603557\pi\) | ||||
−0.319627 | + | 0.947544i | \(0.603557\pi\) | |||||||
\(74\) | 7.86241 | − | 4.52497i | 0.913987 | − | 0.526017i | ||||
\(75\) | −0.542396 | − | 1.64493i | −0.0626305 | − | 0.189941i | ||||
\(76\) | 8.86623 | + | 5.15147i | 1.01703 | + | 0.590914i | ||||
\(77\) | −6.88025 | + | 3.97231i | −0.784077 | + | 0.452687i | ||||
\(78\) | −6.38012 | + | 2.09404i | −0.722406 | + | 0.237104i | ||||
\(79\) | 4.40041 | − | 7.62173i | 0.495084 | − | 0.857511i | −0.504899 | − | 0.863178i | \(-0.668470\pi\) |
0.999984 | + | 0.00566670i | \(0.00180378\pi\) | |||||||
\(80\) | 3.45305 | + | 2.01901i | 0.386063 | + | 0.225733i | ||||
\(81\) | −8.76943 | + | 2.02414i | −0.974381 | + | 0.224904i | ||||
\(82\) | −6.32499 | + | 10.9205i | −0.698478 | + | 1.20597i | ||||
\(83\) | 12.0306 | + | 6.94585i | 1.32053 | + | 0.762406i | 0.983812 | − | 0.179202i | \(-0.0573515\pi\) |
0.336713 | + | 0.941607i | \(0.390685\pi\) | |||||||
\(84\) | 5.47665 | + | 1.15493i | 0.597551 | + | 0.126013i | ||||
\(85\) | 2.22340 | − | 1.28368i | 0.241161 | − | 0.139235i | ||||
\(86\) | 0.0149534 | − | 10.8795i | 0.00161247 | − | 1.17317i | ||||
\(87\) | 12.6683 | − | 4.17722i | 1.35819 | − | 0.447845i | ||||
\(88\) | −12.0154 | − | 7.00331i | −1.28085 | − | 0.746555i | ||||
\(89\) | 10.5539 | 1.11871 | 0.559357 | − | 0.828927i | \(-0.311048\pi\) | ||||
0.559357 | + | 0.828927i | \(0.311048\pi\) | |||||||
\(90\) | 1.69719 | − | 3.88839i | 0.178899 | − | 0.409872i | ||||
\(91\) | − | 4.42936i | − | 0.464323i | ||||||
\(92\) | 6.28251 | + | 0.0172701i | 0.654996 | + | 0.00180053i | ||||
\(93\) | 7.88537 | + | 1.64026i | 0.817675 | + | 0.170087i | ||||
\(94\) | −4.62838 | − | 0.00636150i | −0.477381 | − | 0.000656139i | ||||
\(95\) | 2.56354 | + | 4.44018i | 0.263013 | + | 0.455553i | ||||
\(96\) | 3.00424 | + | 9.32602i | 0.306618 | + | 0.951833i | ||||
\(97\) | −4.09768 | + | 7.09739i | −0.416056 | + | 0.720631i | −0.995539 | − | 0.0943541i | \(-0.969921\pi\) |
0.579482 | + | 0.814985i | \(0.303255\pi\) | |||||||
\(98\) | 3.11114 | − | 5.37159i | 0.314273 | − | 0.542613i | ||||
\(99\) | −5.88229 | + | 13.5274i | −0.591192 | + | 1.35956i | ||||
\(100\) | 0.995235 | + | 1.73479i | 0.0995235 | + | 0.173479i | ||||
\(101\) | 15.6344 | + | 9.02650i | 1.55568 | + | 0.898171i | 0.997662 | + | 0.0683401i | \(0.0217703\pi\) |
0.558015 | + | 0.829831i | \(0.311563\pi\) | |||||||
\(102\) | 6.15516 | + | 1.28918i | 0.609452 | + | 0.127648i | ||||
\(103\) | 6.96654 | + | 12.0664i | 0.686433 | + | 1.18894i | 0.972984 | + | 0.230873i | \(0.0741580\pi\) |
−0.286551 | + | 0.958065i | \(0.592509\pi\) | |||||||
\(104\) | 6.73091 | − | 3.84917i | 0.660020 | − | 0.377442i | ||||
\(105\) | 2.08786 | + | 1.86353i | 0.203754 | + | 0.181862i | ||||
\(106\) | 5.53563 | − | 3.18586i | 0.537668 | − | 0.309438i | ||||
\(107\) | − | 12.3762i | − | 1.19645i | −0.801329 | − | 0.598225i | \(-0.795873\pi\) | ||
0.801329 | − | 0.598225i | \(-0.204127\pi\) | |||||||
\(108\) | 9.44978 | − | 4.32454i | 0.909306 | − | 0.416129i | ||||
\(109\) | − | 14.6333i | − | 1.40161i | −0.713351 | − | 0.700807i | \(-0.752823\pi\) | ||
0.713351 | − | 0.700807i | \(-0.247177\pi\) | |||||||
\(110\) | −3.46857 | − | 6.02686i | −0.330715 | − | 0.574639i | ||||
\(111\) | 8.28885 | + | 7.39826i | 0.786743 | + | 0.702212i | ||||
\(112\) | −6.46287 | − | 0.0355321i | −0.610684 | − | 0.00335746i | ||||
\(113\) | 1.61099 | + | 2.79032i | 0.151549 | + | 0.262491i | 0.931797 | − | 0.362979i | \(-0.118240\pi\) |
−0.780248 | + | 0.625470i | \(0.784907\pi\) | |||||||
\(114\) | −2.57452 | + | 12.2920i | −0.241126 | + | 1.15125i | ||||
\(115\) | 2.72041 | + | 1.57063i | 0.253680 | + | 0.146462i | ||||
\(116\) | −13.3604 | + | 7.66472i | −1.24048 | + | 0.711652i | ||||
\(117\) | −4.89174 | − | 6.61114i | −0.452242 | − | 0.611200i | ||||
\(118\) | −6.18610 | − | 3.58289i | −0.569477 | − | 0.329832i | ||||
\(119\) | −2.07410 | + | 3.59244i | −0.190132 | + | 0.329319i | ||||
\(120\) | −1.01746 | + | 4.79216i | −0.0928812 | + | 0.437462i | ||||
\(121\) | 6.58851 | + | 11.4116i | 0.598955 | + | 1.03742i | ||||
\(122\) | −0.0151401 | + | 11.0153i | −0.00137072 | + | 0.997282i | ||||
\(123\) | −15.1323 | − | 3.14771i | −1.36443 | − | 0.283820i | ||||
\(124\) | −9.30011 | − | 0.0255652i | −0.835174 | − | 0.00229582i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | 0.766484 | + | 6.81203i | 0.0682839 | + | 0.606864i | ||||
\(127\) | −1.33329 | −0.118310 | −0.0591551 | − | 0.998249i | \(-0.518841\pi\) | ||||
−0.0591551 | + | 0.998249i | \(0.518841\pi\) | |||||||
\(128\) | −5.56233 | − | 9.85193i | −0.491645 | − | 0.870796i | ||||
\(129\) | 12.6545 | − | 4.17265i | 1.11416 | − | 0.367381i | ||||
\(130\) | 3.87689 | + | 0.00532861i | 0.340026 | + | 0.000467350i | ||||
\(131\) | −14.5205 | + | 8.38341i | −1.26866 | + | 0.732462i | −0.974735 | − | 0.223366i | \(-0.928295\pi\) |
−0.293927 | + | 0.955828i | \(0.594962\pi\) | |||||||
\(132\) | 3.51466 | − | 16.6665i | 0.305912 | − | 1.45063i | ||||
\(133\) | −7.17418 | − | 4.14202i | −0.622081 | − | 0.359158i | ||||
\(134\) | −12.8692 | − | 7.45365i | −1.11173 | − | 0.643897i | ||||
\(135\) | 5.17434 | + | 0.475643i | 0.445336 | + | 0.0409368i | ||||
\(136\) | −7.26153 | − | 0.0299421i | −0.622671 | − | 0.00256751i | ||||
\(137\) | 0.391422 | − | 0.677963i | 0.0334414 | − | 0.0579223i | −0.848820 | − | 0.528681i | \(-0.822687\pi\) |
0.882262 | + | 0.470759i | \(0.156020\pi\) | |||||||
\(138\) | 2.39950 | + | 7.31079i | 0.204259 | + | 0.622336i | ||||
\(139\) | 6.25094 | − | 3.60898i | 0.530198 | − | 0.306110i | −0.210899 | − | 0.977508i | \(-0.567639\pi\) |
0.741097 | + | 0.671398i | \(0.234306\pi\) | |||||||
\(140\) | −2.79410 | − | 1.62343i | −0.236144 | − | 0.137205i | ||||
\(141\) | −1.77513 | − | 5.38348i | −0.149493 | − | 0.453371i | ||||
\(142\) | 2.62466 | + | 4.56052i | 0.220257 | + | 0.382710i | ||||
\(143\) | −13.4794 | −1.12720 | ||||||||
\(144\) | −9.68555 | + | 7.08450i | −0.807129 | + | 0.590375i | ||||
\(145\) | −7.70142 | −0.639568 | ||||||||
\(146\) | 3.85286 | + | 6.69459i | 0.318865 | + | 0.554048i | ||||
\(147\) | 7.44329 | + | 1.54830i | 0.613912 | + | 0.127702i | ||||
\(148\) | −11.0927 | − | 6.44507i | −0.911810 | − | 0.529781i | ||||
\(149\) | −12.6776 | + | 7.31940i | −1.03859 | + | 0.599629i | −0.919433 | − | 0.393247i | \(-0.871352\pi\) |
−0.119155 | + | 0.992876i | \(0.538018\pi\) | |||||||
\(150\) | −1.63360 | + | 1.82520i | −0.133383 | + | 0.149027i | ||||
\(151\) | 9.10259 | − | 15.7662i | 0.740759 | − | 1.28303i | −0.211392 | − | 0.977401i | \(-0.567800\pi\) |
0.952150 | − | 0.305630i | \(-0.0988671\pi\) | |||||||
\(152\) | 0.0597950 | − | 14.5014i | 0.00485001 | − | 1.17622i | ||||
\(153\) | 0.871717 | + | 7.65259i | 0.0704741 | + | 0.618675i | ||||
\(154\) | 9.72241 | + | 5.63107i | 0.783454 | + | 0.453765i | ||||
\(155\) | −4.02708 | − | 2.32504i | −0.323463 | − | 0.186751i | ||||
\(156\) | 7.06738 | + | 6.34302i | 0.565843 | + | 0.507848i | ||||
\(157\) | −14.3112 | + | 8.26260i | −1.14216 | + | 0.659427i | −0.946965 | − | 0.321337i | \(-0.895868\pi\) |
−0.195196 | + | 0.980764i | \(0.562534\pi\) | |||||||
\(158\) | −12.4462 | − | 0.0171068i | −0.990168 | − | 0.00136094i | ||||
\(159\) | 5.83587 | + | 5.20884i | 0.462815 | + | 0.413088i | ||||
\(160\) | 0.0388751 | − | 5.65672i | 0.00307335 | − | 0.447203i | ||||
\(161\) | −5.07548 | −0.400004 | ||||||||
\(162\) | 8.66717 | + | 9.32095i | 0.680957 | + | 0.732323i | ||||
\(163\) | − | 4.70055i | − | 0.368175i | −0.982910 | − | 0.184088i | \(-0.941067\pi\) | ||
0.982910 | − | 0.184088i | \(-0.0589330\pi\) | |||||||
\(164\) | 17.8472 | + | 0.0490605i | 1.39363 | + | 0.00383098i | ||||
\(165\) | 5.67107 | − | 6.35374i | 0.441492 | − | 0.494638i | ||||
\(166\) | 0.0270023 | − | 19.6458i | 0.00209578 | − | 1.52481i | ||||
\(167\) | 4.20185 | + | 7.27782i | 0.325149 | + | 0.563175i | 0.981543 | − | 0.191244i | \(-0.0612521\pi\) |
−0.656393 | + | 0.754419i | \(0.727919\pi\) | |||||||
\(168\) | −2.44774 | − | 7.52752i | −0.188847 | − | 0.580761i | ||||
\(169\) | −2.74242 | + | 4.75002i | −0.210956 | + | 0.365386i | ||||
\(170\) | −3.14186 | − | 1.81972i | −0.240970 | − | 0.139566i | ||||
\(171\) | −15.2824 | + | 1.74084i | −1.16867 | + | 0.133125i | ||||
\(172\) | −13.3457 | + | 7.65633i | −1.01760 | + | 0.583790i | ||||
\(173\) | 12.4502 | + | 7.18813i | 0.946572 | + | 0.546504i | 0.892014 | − | 0.452007i | \(-0.149292\pi\) |
0.0545575 | + | 0.998511i | \(0.482625\pi\) | |||||||
\(174\) | −14.0566 | − | 12.5811i | −1.06563 | − | 0.953768i | ||||
\(175\) | −0.807871 | − | 1.39927i | −0.0610693 | − | 0.105775i | ||||
\(176\) | −0.108131 | + | 19.6678i | −0.00815067 | + | 1.48251i | ||||
\(177\) | 1.78307 | − | 8.57194i | 0.134024 | − | 0.644306i | ||||
\(178\) | −7.44499 | − | 12.9361i | −0.558025 | − | 0.969603i | ||||
\(179\) | − | 2.79733i | − | 0.209082i | −0.994521 | − | 0.104541i | \(-0.966663\pi\) | ||
0.994521 | − | 0.104541i | \(-0.0333373\pi\) | |||||||
\(180\) | −5.96329 | + | 0.662686i | −0.444478 | + | 0.0493937i | ||||
\(181\) | − | 14.9938i | − | 1.11448i | −0.830353 | − | 0.557238i | \(-0.811861\pi\) | ||
0.830353 | − | 0.557238i | \(-0.188139\pi\) | |||||||
\(182\) | −5.42914 | + | 3.12457i | −0.402434 | + | 0.231609i | ||||
\(183\) | −12.8124 | + | 4.22474i | −0.947123 | + | 0.312302i | ||||
\(184\) | −4.41065 | − | 7.71275i | −0.325158 | − | 0.568591i | ||||
\(185\) | −3.20728 | − | 5.55516i | −0.235804 | − | 0.408424i | ||||
\(186\) | −3.55203 | − | 10.8223i | −0.260447 | − | 0.793529i | ||||
\(187\) | 10.9325 | + | 6.31187i | 0.799462 | + | 0.461570i | ||||
\(188\) | 3.25717 | + | 5.67757i | 0.237553 | + | 0.414079i | ||||
\(189\) | −7.62458 | + | 3.51464i | −0.554606 | + | 0.255653i | ||||
\(190\) | 3.63402 | − | 6.27437i | 0.263639 | − | 0.455191i | ||||
\(191\) | 4.03903 | − | 6.99580i | 0.292254 | − | 0.506199i | −0.682088 | − | 0.731270i | \(-0.738928\pi\) |
0.974342 | + | 0.225071i | \(0.0722614\pi\) | |||||||
\(192\) | 9.31179 | − | 10.2611i | 0.672020 | − | 0.740533i | ||||
\(193\) | 5.07408 | + | 8.78856i | 0.365240 | + | 0.632614i | 0.988815 | − | 0.149150i | \(-0.0476536\pi\) |
−0.623575 | + | 0.781764i | \(0.714320\pi\) | |||||||
\(194\) | 11.5900 | + | 0.0159299i | 0.832112 | + | 0.00114370i | ||||
\(195\) | 1.48691 | + | 4.50938i | 0.106480 | + | 0.322924i | ||||
\(196\) | −8.77872 | − | 0.0241319i | −0.627051 | − | 0.00172371i | ||||
\(197\) | 16.9545i | 1.20796i | 0.797000 | + | 0.603980i | \(0.206419\pi\) | ||||
−0.797000 | + | 0.603980i | \(0.793581\pi\) | |||||||
\(198\) | 20.7303 | − | 2.33256i | 1.47324 | − | 0.165768i | ||||
\(199\) | −20.7051 | −1.46774 | −0.733872 | − | 0.679287i | \(-0.762289\pi\) | ||||
−0.733872 | + | 0.679287i | \(0.762289\pi\) | |||||||
\(200\) | 1.42430 | − | 2.44364i | 0.100713 | − | 0.172791i | ||||
\(201\) | 3.70940 | − | 17.8326i | 0.261641 | − | 1.25781i | ||||
\(202\) | 0.0350909 | − | 25.5308i | 0.00246899 | − | 1.79634i | ||||
\(203\) | 10.7764 | − | 6.22176i | 0.756355 | − | 0.436682i | ||||
\(204\) | −2.76182 | − | 8.45390i | −0.193366 | − | 0.591891i | ||||
\(205\) | 7.72810 | + | 4.46182i | 0.539754 | + | 0.311627i | ||||
\(206\) | 9.87562 | − | 17.0509i | 0.688067 | − | 1.18799i | ||||
\(207\) | −7.57552 | + | 5.60531i | −0.526535 | + | 0.389596i | ||||
\(208\) | −9.46612 | − | 5.53488i | −0.656358 | − | 0.383775i | ||||
\(209\) | −12.6049 | + | 21.8324i | −0.871902 | + | 1.51018i | ||||
\(210\) | 0.811334 | − | 3.87369i | 0.0559873 | − | 0.267310i | ||||
\(211\) | −13.8457 | + | 7.99384i | −0.953180 | + | 0.550319i | −0.894067 | − | 0.447933i | \(-0.852160\pi\) |
−0.0591124 | + | 0.998251i | \(0.518827\pi\) | |||||||
\(212\) | −7.80992 | − | 4.53773i | −0.536388 | − | 0.311653i | ||||
\(213\) | −4.29129 | + | 4.80787i | −0.294034 | + | 0.329430i | ||||
\(214\) | −15.1697 | + | 8.73043i | −1.03698 | + | 0.596800i | ||||
\(215\) | −7.69299 | −0.524658 | ||||||||
\(216\) | −11.9667 | − | 8.53211i | −0.814234 | − | 0.580537i | ||||
\(217\) | 7.51332 | 0.510037 | ||||||||
\(218\) | −17.9362 | + | 10.3227i | −1.21480 | + | 0.699138i | ||||
\(219\) | −6.29938 | + | 7.05769i | −0.425673 | + | 0.476914i | ||||
\(220\) | −4.94041 | + | 8.50297i | −0.333082 | + | 0.573270i | ||||
\(221\) | −6.09518 | + | 3.51905i | −0.410006 | + | 0.236717i | ||||
\(222\) | 3.22102 | − | 15.3787i | 0.216181 | − | 1.03215i | ||||
\(223\) | −1.14388 | + | 1.98125i | −0.0765996 | + | 0.132674i | −0.901781 | − | 0.432194i | \(-0.857740\pi\) |
0.825181 | + | 0.564868i | \(0.191073\pi\) | |||||||
\(224\) | 4.51551 | + | 7.94671i | 0.301705 | + | 0.530962i | ||||
\(225\) | −2.75115 | − | 1.19631i | −0.183410 | − | 0.0797542i | ||||
\(226\) | 2.28371 | − | 3.94297i | 0.151910 | − | 0.262282i | ||||
\(227\) | −18.5798 | − | 10.7271i | −1.23318 | − | 0.711980i | −0.265492 | − | 0.964113i | \(-0.585535\pi\) |
−0.967693 | + | 0.252133i | \(0.918868\pi\) | |||||||
\(228\) | 16.8826 | − | 5.51542i | 1.11808 | − | 0.365268i | ||||
\(229\) | −10.8072 | + | 6.23955i | −0.714161 | + | 0.412321i | −0.812600 | − | 0.582822i | \(-0.801948\pi\) |
0.0984391 | + | 0.995143i | \(0.468615\pi\) | |||||||
\(230\) | 0.00610590 | − | 4.44241i | 0.000402611 | − | 0.292924i | ||||
\(231\) | −2.80237 | + | 13.4721i | −0.184383 | + | 0.886401i | ||||
\(232\) | 18.8195 | + | 10.9691i | 1.23556 | + | 0.720160i | ||||
\(233\) | 20.8278 | 1.36448 | 0.682239 | − | 0.731129i | \(-0.261006\pi\) | ||||
0.682239 | + | 0.731129i | \(0.261006\pi\) | |||||||
\(234\) | −4.65263 | + | 10.6595i | −0.304152 | + | 0.696836i | ||||
\(235\) | 3.27276i | 0.213492i | ||||||||
\(236\) | −0.0277911 | + | 10.1099i | −0.00180905 | + | 0.658095i | ||||
\(237\) | −4.77353 | − | 14.4768i | −0.310074 | − | 0.940366i | ||||
\(238\) | 5.86643 | + | 0.00806314i | 0.380264 | + | 0.000522656i | ||||
\(239\) | 11.5517 | + | 20.0082i | 0.747218 | + | 1.29422i | 0.949151 | + | 0.314821i | \(0.101944\pi\) |
−0.201933 | + | 0.979399i | \(0.564722\pi\) | |||||||
\(240\) | 6.59156 | − | 2.13338i | 0.425484 | − | 0.137709i | ||||
\(241\) | 12.5977 | − | 21.8199i | 0.811492 | − | 1.40555i | −0.100328 | − | 0.994954i | \(-0.531989\pi\) |
0.911820 | − | 0.410591i | \(-0.134678\pi\) | |||||||
\(242\) | 9.33973 | − | 16.1257i | 0.600381 | − | 1.03660i | ||||
\(243\) | −7.49869 | + | 13.6664i | −0.481041 | + | 0.876698i | ||||
\(244\) | 13.5124 | − | 7.75192i | 0.865040 | − | 0.496266i | ||||
\(245\) | −3.80131 | − | 2.19469i | −0.242857 | − | 0.140213i | ||||
\(246\) | 6.81647 | + | 20.7684i | 0.434602 | + | 1.32414i | ||||
\(247\) | −7.02762 | − | 12.1722i | −0.447157 | − | 0.774499i | ||||
\(248\) | 6.52917 | + | 11.4173i | 0.414603 | + | 0.725001i | ||||
\(249\) | 22.8509 | − | 7.53480i | 1.44812 | − | 0.477498i | ||||
\(250\) | 1.22572 | − | 0.705423i | 0.0775211 | − | 0.0446149i | ||||
\(251\) | − | 13.7630i | − | 0.868712i | −0.900741 | − | 0.434356i | \(-0.856976\pi\) | ||
0.900741 | − | 0.434356i | \(-0.143024\pi\) | |||||||
\(252\) | 7.80892 | − | 5.74485i | 0.491915 | − | 0.361892i | ||||
\(253\) | 15.4456i | 0.971059i | ||||||||
\(254\) | 0.940532 | + | 1.63423i | 0.0590142 | + | 0.102541i | ||||
\(255\) | 0.905606 | − | 4.35361i | 0.0567112 | − | 0.272633i | ||||
\(256\) | −8.15187 | + | 13.7676i | −0.509492 | + | 0.860475i | ||||
\(257\) | 6.11036 | + | 10.5834i | 0.381154 | + | 0.660177i | 0.991227 | − | 0.132167i | \(-0.0421936\pi\) |
−0.610074 | + | 0.792345i | \(0.708860\pi\) | |||||||
\(258\) | −14.0412 | − | 12.5673i | −0.874168 | − | 0.782405i | ||||
\(259\) | 8.97572 | + | 5.18213i | 0.557724 | + | 0.322002i | ||||
\(260\) | −2.72831 | − | 4.75572i | −0.169203 | − | 0.294937i | ||||
\(261\) | 9.21331 | − | 21.1878i | 0.570290 | − | 1.31149i | ||||
\(262\) | 20.5188 | + | 11.8841i | 1.26765 | + | 0.734205i | ||||
\(263\) | −8.50732 | + | 14.7351i | −0.524584 | + | 0.908605i | 0.475007 | + | 0.879982i | \(0.342446\pi\) |
−0.999590 | + | 0.0286232i | \(0.990888\pi\) | |||||||
\(264\) | −22.9077 | + | 7.44893i | −1.40987 | + | 0.458450i | ||||
\(265\) | −2.25812 | − | 3.91118i | −0.138715 | − | 0.240262i | ||||
\(266\) | −0.0161023 | + | 11.7154i | −0.000987293 | + | 0.718316i | ||||
\(267\) | 12.1724 | − | 13.6377i | 0.744942 | − | 0.834616i | ||||
\(268\) | −0.0578151 | + | 21.0320i | −0.00353162 | + | 1.28473i | ||||
\(269\) | − | 6.36857i | − | 0.388298i | −0.980972 | − | 0.194149i | \(-0.937805\pi\) | ||
0.980972 | − | 0.194149i | \(-0.0621946\pi\) | |||||||
\(270\) | −3.06709 | − | 6.67779i | −0.186657 | − | 0.406398i | ||||
\(271\) | −13.2713 | −0.806172 | −0.403086 | − | 0.915162i | \(-0.632062\pi\) | ||||
−0.403086 | + | 0.915162i | \(0.632062\pi\) | |||||||
\(272\) | 5.08575 | + | 8.92169i | 0.308369 | + | 0.540957i | ||||
\(273\) | −5.72360 | − | 5.10863i | −0.346408 | − | 0.309188i | ||||
\(274\) | −1.10711 | − | 0.00152167i | −0.0668828 | − | 9.19274e-5i | ||||
\(275\) | −4.25826 | + | 2.45851i | −0.256783 | + | 0.148254i | ||||
\(276\) | 7.26828 | − | 8.09831i | 0.437499 | − | 0.487461i | ||||
\(277\) | 3.63858 | + | 2.10074i | 0.218621 | + | 0.126221i | 0.605312 | − | 0.795989i | \(-0.293048\pi\) |
−0.386690 | + | 0.922210i | \(0.626382\pi\) | |||||||
\(278\) | −8.83314 | − | 5.11602i | −0.529777 | − | 0.306838i | ||||
\(279\) | 11.2142 | − | 8.29764i | 0.671375 | − | 0.496767i | ||||
\(280\) | −0.0188438 | + | 4.56997i | −0.00112613 | + | 0.273108i | ||||
\(281\) | 5.33562 | − | 9.24157i | 0.318297 | − | 0.551306i | −0.661836 | − | 0.749649i | \(-0.730223\pi\) |
0.980133 | + | 0.198343i | \(0.0635559\pi\) | |||||||
\(282\) | −5.34639 | + | 5.97344i | −0.318373 | + | 0.355713i | ||||
\(283\) | 8.55828 | − | 4.94112i | 0.508737 | − | 0.293719i | −0.223578 | − | 0.974686i | \(-0.571774\pi\) |
0.732314 | + | 0.680967i | \(0.238440\pi\) | |||||||
\(284\) | 3.73840 | − | 6.43418i | 0.221833 | − | 0.381799i | ||||
\(285\) | 8.69425 | + | 1.80852i | 0.515003 | + | 0.107127i | ||||
\(286\) | 9.50867 | + | 16.5219i | 0.562259 | + | 0.976960i | ||||
\(287\) | −14.4183 | −0.851086 | ||||||||
\(288\) | 15.5160 | + | 6.87416i | 0.914288 | + | 0.405064i | ||||
\(289\) | −10.4087 | −0.612274 | ||||||||
\(290\) | 5.43276 | + | 9.43975i | 0.319023 | + | 0.554321i | ||||
\(291\) | 4.44513 | + | 13.4808i | 0.260578 | + | 0.790260i | ||||
\(292\) | 5.48777 | − | 9.44503i | 0.321147 | − | 0.552729i | ||||
\(293\) | 21.7299 | − | 12.5458i | 1.26948 | − | 0.732933i | 0.294588 | − | 0.955624i | \(-0.404818\pi\) |
0.974889 | + | 0.222692i | \(0.0714844\pi\) | |||||||
\(294\) | −3.35289 | − | 10.2156i | −0.195545 | − | 0.595784i | ||||
\(295\) | −2.52747 | + | 4.37771i | −0.147155 | + | 0.254880i | ||||
\(296\) | −0.0748103 | + | 18.1429i | −0.00434826 | + | 1.05454i | ||||
\(297\) | 10.6957 | + | 23.2030i | 0.620629 | + | 1.34638i | ||||
\(298\) | 17.9146 | + | 10.3758i | 1.03776 | + | 0.601056i | ||||
\(299\) | −7.45768 | − | 4.30570i | −0.431289 | − | 0.249005i | ||||
\(300\) | 3.38955 | + | 0.714797i | 0.195696 | + | 0.0412688i | ||||
\(301\) | 10.7646 | − | 6.21495i | 0.620462 | − | 0.358224i | ||||
\(302\) | −25.7460 | − | 0.0353867i | −1.48152 | − | 0.00203628i | ||||
\(303\) | 29.6960 | − | 9.79188i | 1.70599 | − | 0.562529i | ||||
\(304\) | −17.8168 | + | 10.1563i | −1.02186 | + | 0.582507i | ||||
\(305\) | 7.78903 | 0.445999 | ||||||||
\(306\) | 8.76497 | − | 6.46679i | 0.501060 | − | 0.369682i | ||||
\(307\) | 23.3798i | 1.33436i | 0.744899 | + | 0.667178i | \(0.232498\pi\) | ||||
−0.744899 | + | 0.667178i | \(0.767502\pi\) | |||||||
\(308\) | 0.0436781 | − | 15.8892i | 0.00248879 | − | 0.905371i | ||||
\(309\) | 23.6270 | + | 4.91473i | 1.34410 | + | 0.279589i | ||||
\(310\) | −0.00903867 | + | 6.57619i | −0.000513362 | + | 0.373502i | ||||
\(311\) | 0.784497 | + | 1.35879i | 0.0444847 | + | 0.0770498i | 0.887410 | − | 0.460980i | \(-0.152502\pi\) |
−0.842926 | + | 0.538030i | \(0.819169\pi\) | |||||||
\(312\) | 2.78925 | − | 13.1371i | 0.157910 | − | 0.743743i | ||||
\(313\) | −0.0973273 | + | 0.168576i | −0.00550126 | + | 0.00952847i | −0.868763 | − | 0.495228i | \(-0.835084\pi\) |
0.863262 | + | 0.504757i | \(0.168418\pi\) | |||||||
\(314\) | 20.2231 | + | 11.7129i | 1.14125 | + | 0.660996i | ||||
\(315\) | 4.81608 | − | 0.548606i | 0.271356 | − | 0.0309105i | ||||
\(316\) | 8.75888 | + | 15.2676i | 0.492725 | + | 0.858869i | ||||
\(317\) | −16.7835 | − | 9.68997i | −0.942657 | − | 0.544243i | −0.0518647 | − | 0.998654i | \(-0.516516\pi\) |
−0.890792 | + | 0.454411i | \(0.849850\pi\) | |||||||
\(318\) | 2.26780 | − | 10.8276i | 0.127172 | − | 0.607179i | ||||
\(319\) | −18.9340 | − | 32.7946i | −1.06010 | − | 1.83615i | ||||
\(320\) | −6.96095 | + | 3.94273i | −0.389129 | + | 0.220405i | ||||
\(321\) | −15.9924 | − | 14.2741i | −0.892610 | − | 0.796704i | ||||
\(322\) | 3.58036 | + | 6.22109i | 0.199525 | + | 0.346688i | ||||
\(323\) | 13.1630i | 0.732412i | ||||||||
\(324\) | 5.31081 | − | 17.1987i | 0.295045 | − | 0.955483i | ||||
\(325\) | − | 2.74138i | − | 0.152064i | ||||||
\(326\) | −5.76153 | + | 3.31587i | −0.319102 | + | 0.183649i | ||||
\(327\) | −18.9091 | − | 16.8774i | −1.04567 | − | 0.933322i | ||||
\(328\) | −12.5297 | − | 21.9102i | −0.691837 | − | 1.20979i | ||||
\(329\) | −2.64397 | − | 4.57949i | −0.145767 | − | 0.252476i | ||||
\(330\) | −11.7884 | − | 2.46904i | −0.648929 | − | 0.135916i | ||||
\(331\) | −3.19830 | − | 1.84654i | −0.175794 | − | 0.101495i | 0.409521 | − | 0.912301i | \(-0.365696\pi\) |
−0.585315 | + | 0.810806i | \(0.699029\pi\) | |||||||
\(332\) | −24.0992 | + | 13.8255i | −1.32262 | + | 0.758773i | ||||
\(333\) | 19.1200 | − | 2.17798i | 1.04777 | − | 0.119353i | ||||
\(334\) | 5.95646 | − | 10.2842i | 0.325923 | − | 0.562728i | ||||
\(335\) | −5.25801 | + | 9.10714i | −0.287276 | + | 0.497576i | ||||
\(336\) | −7.49991 | + | 8.31032i | −0.409154 | + | 0.453365i | ||||
\(337\) | 5.84684 | + | 10.1270i | 0.318498 | + | 0.551654i | 0.980175 | − | 0.198135i | \(-0.0634884\pi\) |
−0.661677 | + | 0.749789i | \(0.730155\pi\) | |||||||
\(338\) | 7.75674 | + | 0.0106613i | 0.421911 | + | 0.000579898i | ||||
\(339\) | 5.46368 | + | 1.13652i | 0.296746 | + | 0.0617271i | ||||
\(340\) | −0.0141149 | + | 5.13470i | −0.000765486 | + | 0.278468i | ||||
\(341\) | − | 22.8645i | − | 1.23818i | ||||||
\(342\) | 12.9143 | + | 17.5038i | 0.698326 | + | 0.946499i | ||||
\(343\) | 18.4023 | 0.993631 | ||||||||
\(344\) | 18.7989 | + | 10.9571i | 1.01357 | + | 0.590769i | ||||
\(345\) | 5.16717 | − | 1.70381i | 0.278191 | − | 0.0917300i | ||||
\(346\) | 0.0279442 | − | 20.3311i | 0.00150229 | − | 1.09301i | ||||
\(347\) | 10.8140 | − | 6.24349i | 0.580529 | − | 0.335168i | −0.180815 | − | 0.983517i | \(-0.557873\pi\) |
0.761343 | + | 0.648349i | \(0.224540\pi\) | |||||||
\(348\) | −5.50495 | + | 26.1044i | −0.295096 | + | 1.39934i | ||||
\(349\) | −6.73105 | − | 3.88618i | −0.360305 | − | 0.208022i | 0.308910 | − | 0.951091i | \(-0.400036\pi\) |
−0.669215 | + | 0.743069i | \(0.733369\pi\) | |||||||
\(350\) | −1.14522 | + | 1.97730i | −0.0612147 | + | 0.105691i | ||||
\(351\) | −14.1848 | − | 1.30392i | −0.757129 | − | 0.0695979i | ||||
\(352\) | 24.1834 | − | 13.7415i | 1.28898 | − | 0.732427i | ||||
\(353\) | 15.4503 | − | 26.7607i | 0.822338 | − | 1.42433i | −0.0815994 | − | 0.996665i | \(-0.526003\pi\) |
0.903937 | − | 0.427665i | \(-0.140664\pi\) | |||||||
\(354\) | −11.7646 | + | 3.86130i | −0.625280 | + | 0.205226i | ||||
\(355\) | 3.22222 | − | 1.86035i | 0.171018 | − | 0.0987371i | ||||
\(356\) | −10.6041 | + | 18.2509i | −0.562018 | + | 0.967294i | ||||
\(357\) | 2.24996 | + | 6.82350i | 0.119081 | + | 0.361138i | ||||
\(358\) | −3.42873 | + | 1.97330i | −0.181214 | + | 0.104292i | ||||
\(359\) | −33.1225 | −1.74814 | −0.874069 | − | 0.485801i | \(-0.838528\pi\) | ||||
−0.874069 | + | 0.485801i | \(0.838528\pi\) | |||||||
\(360\) | 5.01891 | + | 6.84183i | 0.264520 | + | 0.360596i | ||||
\(361\) | −7.28689 | −0.383521 | ||||||||
\(362\) | −18.3781 | + | 10.5769i | −0.965930 | + | 0.555911i | ||||
\(363\) | 22.3450 | + | 4.64804i | 1.17281 | + | 0.243959i | ||||
\(364\) | 7.65967 | + | 4.45043i | 0.401476 | + | 0.233266i | ||||
\(365\) | 4.73004 | − | 2.73089i | 0.247582 | − | 0.142941i | ||||
\(366\) | 14.2165 | + | 12.7242i | 0.743109 | + | 0.665104i | ||||
\(367\) | 1.06456 | − | 1.84387i | 0.0555696 | − | 0.0962493i | −0.836902 | − | 0.547352i | \(-0.815636\pi\) |
0.892472 | + | 0.451103i | \(0.148969\pi\) | |||||||
\(368\) | −6.34226 | + | 10.8470i | −0.330613 | + | 0.565437i | ||||
\(369\) | −21.5204 | + | 15.9234i | −1.12031 | + | 0.828942i | ||||
\(370\) | −4.54657 | + | 7.84995i | −0.236365 | + | 0.408099i | ||||
\(371\) | 6.31947 | + | 3.64855i | 0.328090 | + | 0.189423i | ||||
\(372\) | −10.7594 | + | 11.9881i | −0.557848 | + | 0.621553i | ||||
\(373\) | −27.4841 | + | 15.8680i | −1.42307 | + | 0.821612i | −0.996560 | − | 0.0828699i | \(-0.973591\pi\) |
−0.426513 | + | 0.904482i | \(0.640258\pi\) | |||||||
\(374\) | 0.0245377 | − | 17.8527i | 0.00126881 | − | 0.923139i | ||||
\(375\) | 1.29220 | + | 1.15336i | 0.0667287 | + | 0.0595591i | ||||
\(376\) | 4.66140 | − | 7.99745i | 0.240393 | − | 0.412437i | ||||
\(377\) | 21.1125 | 1.08735 | ||||||||
\(378\) | 9.68650 | + | 6.86625i | 0.498220 | + | 0.353162i | ||||
\(379\) | − | 29.1965i | − | 1.49973i | −0.661594 | − | 0.749863i | \(-0.730120\pi\) | ||
0.661594 | − | 0.749863i | \(-0.269880\pi\) | |||||||
\(380\) | −10.2541 | − | 0.0281877i | −0.526025 | − | 0.00144600i | ||||
\(381\) | −1.53776 | + | 1.72287i | −0.0787816 | + | 0.0882652i | ||||
\(382\) | −11.4241 | − | 0.0157019i | −0.584507 | − | 0.000803379i | ||||
\(383\) | −16.3831 | − | 28.3764i | −0.837139 | − | 1.44997i | −0.892277 | − | 0.451488i | \(-0.850893\pi\) |
0.0551384 | − | 0.998479i | \(-0.482440\pi\) | |||||||
\(384\) | −19.1460 | − | 4.17517i | −0.977038 | − | 0.213063i | ||||
\(385\) | 3.97231 | − | 6.88025i | 0.202448 | − | 0.350650i | ||||
\(386\) | 7.19290 | − | 12.4190i | 0.366109 | − | 0.632112i | ||||
\(387\) | 9.20323 | − | 21.1646i | 0.467826 | − | 1.07586i | ||||
\(388\) | −8.15631 | − | 14.2173i | −0.414074 | − | 0.721772i | ||||
\(389\) | 12.3493 | + | 7.12988i | 0.626135 | + | 0.361499i | 0.779254 | − | 0.626709i | \(-0.215598\pi\) |
−0.153119 | + | 0.988208i | \(0.548932\pi\) | |||||||
\(390\) | 4.47832 | − | 5.00355i | 0.226769 | − | 0.253365i | ||||
\(391\) | 4.03238 | + | 6.98429i | 0.203926 | + | 0.353210i | ||||
\(392\) | 6.16313 | + | 10.7772i | 0.311285 | + | 0.544332i | ||||
\(393\) | −5.91430 | + | 28.4324i | −0.298337 | + | 1.43422i | ||||
\(394\) | 20.7814 | − | 11.9601i | 1.04695 | − | 0.602541i | ||||
\(395\) | 8.80081i | 0.442817i | ||||||||
\(396\) | −17.4827 | − | 23.7640i | −0.878538 | − | 1.19419i | ||||
\(397\) | − | 12.4966i | − | 0.627187i | −0.949557 | − | 0.313593i | \(-0.898467\pi\) | ||
0.949557 | − | 0.313593i | \(-0.101533\pi\) | |||||||
\(398\) | 14.6058 | + | 25.3785i | 0.732125 | + | 1.27211i | ||||
\(399\) | −13.6267 | + | 4.49323i | −0.682188 | + | 0.224943i | ||||
\(400\) | −3.99994 | − | 0.0219912i | −0.199997 | − | 0.00109956i | ||||
\(401\) | 1.15824 | + | 2.00613i | 0.0578397 | + | 0.100181i | 0.893495 | − | 0.449072i | \(-0.148245\pi\) |
−0.835656 | + | 0.549254i | \(0.814912\pi\) | |||||||
\(402\) | −24.4744 | + | 8.03283i | −1.22067 | + | 0.400641i | ||||
\(403\) | 11.0397 | + | 6.37380i | 0.549929 | + | 0.317502i | ||||
\(404\) | −31.3182 | + | 17.9670i | −1.55814 | + | 0.893891i | ||||
\(405\) | 6.58248 | − | 6.13767i | 0.327086 | − | 0.304983i | ||||
\(406\) | −15.2280 | − | 8.81983i | −0.755754 | − | 0.437721i | ||||
\(407\) | 15.7702 | − | 27.3148i | 0.781701 | − | 1.35395i | ||||
\(408\) | −8.41382 | + | 9.34878i | −0.416546 | + | 0.462834i | ||||
\(409\) | −13.4362 | − | 23.2722i | −0.664378 | − | 1.15074i | −0.979454 | − | 0.201670i | \(-0.935363\pi\) |
0.315076 | − | 0.949067i | \(-0.397970\pi\) | |||||||
\(410\) | 0.0173455 | − | 12.6199i | 0.000856634 | − | 0.623254i | ||||
\(411\) | −0.424611 | − | 1.28773i | −0.0209445 | − | 0.0635189i | ||||
\(412\) | −27.8661 | − | 0.0766014i | −1.37286 | − | 0.00377388i | ||||
\(413\) | − | 8.16749i | − | 0.401896i | ||||||
\(414\) | 12.2145 | + | 5.33132i | 0.600308 | + | 0.262020i | ||||
\(415\) | −13.8917 | −0.681916 | ||||||||
\(416\) | −0.106571 | + | 15.5072i | −0.00522509 | + | 0.760303i | ||||
\(417\) | 2.54605 | − | 12.2399i | 0.124681 | − | 0.599390i | ||||
\(418\) | 35.6521 | + | 0.0490023i | 1.74380 | + | 0.00239678i | ||||
\(419\) | 7.24002 | − | 4.18003i | 0.353698 | − | 0.204208i | −0.312615 | − | 0.949880i | \(-0.601205\pi\) |
0.666313 | + | 0.745672i | \(0.267872\pi\) | |||||||
\(420\) | −5.32038 | + | 1.73813i | −0.259608 | + | 0.0848119i | ||||
\(421\) | 12.4363 | + | 7.18011i | 0.606109 | + | 0.349937i | 0.771441 | − | 0.636301i | \(-0.219536\pi\) |
−0.165332 | + | 0.986238i | \(0.552870\pi\) | |||||||
\(422\) | 19.5653 | + | 11.3319i | 0.952422 | + | 0.551628i | ||||
\(423\) | −9.00387 | − | 3.91525i | −0.437783 | − | 0.190366i | ||||
\(424\) | −0.0526712 | + | 12.7738i | −0.00255794 | + | 0.620349i | ||||
\(425\) | −1.28368 | + | 2.22340i | −0.0622676 | + | 0.107851i | ||||
\(426\) | 8.92025 | + | 1.86832i | 0.432188 | + | 0.0905205i | ||||
\(427\) | −10.8990 | + | 6.29254i | −0.527439 | + | 0.304517i | ||||
\(428\) | 21.4020 | + | 12.4350i | 1.03451 | + | 0.601071i | ||||
\(429\) | −15.5465 | + | 17.4180i | −0.750594 | + | 0.840949i | ||||
\(430\) | 5.42681 | + | 9.42942i | 0.261704 | + | 0.454727i | ||||
\(431\) | 33.6425 | 1.62050 | 0.810251 | − | 0.586084i | \(-0.199331\pi\) | ||||
0.810251 | + | 0.586084i | \(0.199331\pi\) | |||||||
\(432\) | −2.01633 | + | 20.6866i | −0.0970108 | + | 0.995283i | ||||
\(433\) | 5.37944 | 0.258519 | 0.129260 | − | 0.991611i | \(-0.458740\pi\) | ||||
0.129260 | + | 0.991611i | \(0.458740\pi\) | |||||||
\(434\) | −5.30007 | − | 9.20919i | −0.254411 | − | 0.442055i | ||||
\(435\) | −8.88248 | + | 9.95174i | −0.425883 | + | 0.477150i | ||||
\(436\) | 25.3053 | + | 14.7029i | 1.21190 | + | 0.704141i | ||||
\(437\) | −13.9478 | + | 8.05275i | −0.667212 | + | 0.385215i | ||||
\(438\) | 13.0944 | + | 2.74259i | 0.625677 | + | 0.131046i | ||||
\(439\) | −5.78623 | + | 10.0220i | −0.276161 | + | 0.478326i | −0.970427 | − | 0.241393i | \(-0.922396\pi\) |
0.694266 | + | 0.719718i | \(0.255729\pi\) | |||||||
\(440\) | 13.9073 | + | 0.0573451i | 0.663004 | + | 0.00273382i | ||||
\(441\) | 10.5855 | − | 7.83245i | 0.504070 | − | 0.372974i | ||||
\(442\) | 8.61303 | + | 4.98853i | 0.409680 | + | 0.237280i | ||||
\(443\) | −16.0282 | − | 9.25389i | −0.761523 | − | 0.439665i | 0.0683193 | − | 0.997664i | \(-0.478236\pi\) |
−0.829842 | + | 0.557998i | \(0.811570\pi\) | |||||||
\(444\) | −21.1221 | + | 6.90042i | −1.00241 | + | 0.327479i | ||||
\(445\) | −9.13997 | + | 5.27697i | −0.433276 | + | 0.250152i | ||||
\(446\) | 3.23537 | + | 0.00444686i | 0.153199 | + | 0.000210565i | ||||
\(447\) | −5.16366 | + | 24.8238i | −0.244233 | + | 1.17412i | ||||
\(448\) | 6.55507 | − | 11.1405i | 0.309698 | − | 0.526340i | ||||
\(449\) | 1.08437 | 0.0511747 | 0.0255874 | − | 0.999673i | \(-0.491854\pi\) | ||||
0.0255874 | + | 0.999673i | \(0.491854\pi\) | |||||||
\(450\) | 0.474385 | + | 4.21604i | 0.0223627 | + | 0.198746i | ||||
\(451\) | 43.8777i | 2.06612i | ||||||||
\(452\) | −6.44394 | − | 0.0177138i | −0.303097 | − | 0.000833189i | ||||
\(453\) | −9.87442 | − | 29.9463i | −0.463941 | − | 1.40700i | ||||
\(454\) | −0.0417019 | + | 30.3407i | −0.00195717 | + | 1.42396i | ||||
\(455\) | 2.21468 | + | 3.83594i | 0.103826 | + | 0.179832i | ||||
\(456\) | −18.6697 | − | 16.8026i | −0.874290 | − | 0.786853i | ||||
\(457\) | −3.39008 | + | 5.87179i | −0.158581 | + | 0.274671i | −0.934357 | − | 0.356338i | \(-0.884025\pi\) |
0.775776 | + | 0.631008i | \(0.217359\pi\) | |||||||
\(458\) | 15.2716 | + | 8.84505i | 0.713593 | + | 0.413302i | ||||
\(459\) | 10.8940 | + | 7.69974i | 0.508490 | + | 0.359393i | ||||
\(460\) | −5.44944 | + | 3.12630i | −0.254082 | + | 0.145764i | ||||
\(461\) | 9.41902 | + | 5.43807i | 0.438687 | + | 0.253276i | 0.703041 | − | 0.711150i | \(-0.251825\pi\) |
−0.264353 | + | 0.964426i | \(0.585159\pi\) | |||||||
\(462\) | 18.4899 | − | 6.06863i | 0.860226 | − | 0.282338i | ||||
\(463\) | 15.0493 | + | 26.0662i | 0.699401 | + | 1.21140i | 0.968674 | + | 0.248334i | \(0.0798830\pi\) |
−0.269274 | + | 0.963064i | \(0.586784\pi\) | |||||||
\(464\) | 0.169363 | − | 30.8052i | 0.00786249 | − | 1.43010i | ||||
\(465\) | −7.64906 | + | 2.52218i | −0.354717 | + | 0.116963i | ||||
\(466\) | −14.6924 | − | 25.5290i | −0.680614 | − | 1.18261i | ||||
\(467\) | 18.4593i | 0.854194i | 0.904206 | + | 0.427097i | \(0.140464\pi\) | ||||
−0.904206 | + | 0.427097i | \(0.859536\pi\) | |||||||
\(468\) | 16.3476 | − | 1.81667i | 0.755670 | − | 0.0839757i | ||||
\(469\) | − | 16.9912i | − | 0.784580i | ||||||
\(470\) | 4.01148 | − | 2.30868i | 0.185036 | − | 0.106492i | ||||
\(471\) | −5.82907 | + | 28.0226i | −0.268589 | + | 1.29121i | ||||
\(472\) | 12.4114 | − | 7.09766i | 0.571281 | − | 0.326696i | ||||
\(473\) | −18.9133 | − | 32.7587i | −0.869633 | − | 1.50625i | ||||
\(474\) | −14.3770 | + | 16.0632i | −0.660359 | + | 0.737808i | ||||
\(475\) | −4.44018 | − | 2.56354i | −0.203729 | − | 0.117623i | ||||
\(476\) | −4.12843 | − | 7.19626i | −0.189226 | − | 0.329840i | ||||
\(477\) | 13.4617 | − | 1.53344i | 0.616368 | − | 0.0702113i | ||||
\(478\) | 16.3755 | − | 28.2733i | 0.748996 | − | 1.29319i | ||||
\(479\) | 1.73388 | − | 3.00316i | 0.0792228 | − | 0.137218i | −0.823692 | − | 0.567037i | \(-0.808089\pi\) |
0.902915 | + | 0.429820i | \(0.141423\pi\) | |||||||
\(480\) | −7.26475 | − | 6.57445i | −0.331589 | − | 0.300081i | ||||
\(481\) | 8.79235 | + | 15.2288i | 0.400897 | + | 0.694374i | ||||
\(482\) | −35.6318 | − | 0.0489743i | −1.62298 | − | 0.00223072i | ||||
\(483\) | −5.85383 | + | 6.55851i | −0.266359 | + | 0.298422i | ||||
\(484\) | −26.3539 | − | 0.0724447i | −1.19791 | − | 0.00329294i | ||||
\(485\) | − | 8.19536i | − | 0.372132i | ||||||
\(486\) | 22.0408 | − | 0.449302i | 0.999792 | − | 0.0203808i | ||||
\(487\) | −6.44561 | −0.292078 | −0.146039 | − | 0.989279i | \(-0.546653\pi\) | ||||
−0.146039 | + | 0.989279i | \(0.546653\pi\) | |||||||
\(488\) | −19.0336 | − | 11.0939i | −0.861609 | − | 0.502199i | ||||
\(489\) | −6.07403 | − | 5.42141i | −0.274677 | − | 0.245164i | ||||
\(490\) | −0.00853194 | + | 6.20751i | −0.000385434 | + | 0.280427i | ||||
\(491\) | 8.56812 | − | 4.94681i | 0.386674 | − | 0.223246i | −0.294044 | − | 0.955792i | \(-0.595001\pi\) |
0.680718 | + | 0.732546i | \(0.261668\pi\) | |||||||
\(492\) | 20.6476 | − | 23.0055i | 0.930866 | − | 1.03717i | ||||
\(493\) | −17.1233 | − | 9.88616i | −0.771196 | − | 0.445250i | ||||
\(494\) | −9.96221 | + | 17.2004i | −0.448221 | + | 0.773883i | ||||
\(495\) | −1.66951 | − | 14.6563i | −0.0750391 | − | 0.658750i | ||||
\(496\) | 9.38856 | − | 16.0569i | 0.421559 | − | 0.720978i | ||||
\(497\) | −3.00585 | + | 5.20628i | −0.134831 | + | 0.233533i | ||||
\(498\) | −25.3551 | − | 22.6935i | −1.13619 | − | 1.01692i | ||||
\(499\) | 6.29907 | − | 3.63677i | 0.281985 | − | 0.162804i | −0.352337 | − | 0.935873i | \(-0.614613\pi\) |
0.634322 | + | 0.773069i | \(0.281279\pi\) | |||||||
\(500\) | −1.72930 | − | 1.00476i | −0.0773364 | − | 0.0449341i | ||||
\(501\) | 14.2506 | + | 2.96431i | 0.636670 | + | 0.132436i | ||||
\(502\) | −16.8695 | + | 9.70873i | −0.752923 | + | 0.433322i | ||||
\(503\) | 15.8720 | 0.707699 | 0.353849 | − | 0.935302i | \(-0.384873\pi\) | ||||
0.353849 | + | 0.935302i | \(0.384873\pi\) | |||||||
\(504\) | −12.5501 | − | 5.51896i | −0.559028 | − | 0.245834i | ||||
\(505\) | −18.0530 | −0.803348 | ||||||||
\(506\) | 18.9320 | − | 10.8957i | 0.841628 | − | 0.484373i | ||||
\(507\) | 2.97496 | + | 9.02221i | 0.132123 | + | 0.400691i | ||||
\(508\) | 1.33963 | − | 2.30565i | 0.0594365 | − | 0.102297i | ||||
\(509\) | −11.4988 | + | 6.63885i | −0.509677 | + | 0.294262i | −0.732701 | − | 0.680551i | \(-0.761740\pi\) |
0.223024 | + | 0.974813i | \(0.428407\pi\) | |||||||
\(510\) | −5.97512 | + | 1.96112i | −0.264583 | + | 0.0868398i | ||||
\(511\) | −4.41242 | + | 7.64253i | −0.195194 | + | 0.338086i | ||||
\(512\) | 22.6257 | + | 0.279896i | 0.999923 | + | 0.0123698i | ||||
\(513\) | −15.3765 | + | 21.7556i | −0.678891 | + | 0.960535i | ||||
\(514\) | 8.66191 | − | 14.9554i | 0.382061 | − | 0.659653i | ||||
\(515\) | −12.0664 | − | 6.96654i | −0.531709 | − | 0.306982i | ||||
\(516\) | −5.49892 | + | 26.0758i | −0.242077 | + | 1.14792i | ||||
\(517\) | −13.9363 | + | 8.04611i | −0.612917 | + | 0.353868i | ||||
\(518\) | 0.0201458 | − | 14.6573i | 0.000885154 | − | 0.644003i | ||||
\(519\) | 23.6480 | − | 7.79763i | 1.03803 | − | 0.342278i | ||||
\(520\) | −3.90455 | + | 6.69893i | −0.171226 | + | 0.293768i | ||||
\(521\) | −12.2090 | −0.534886 | −0.267443 | − | 0.963574i | \(-0.586179\pi\) | ||||
−0.267443 | + | 0.963574i | \(0.586179\pi\) | |||||||
\(522\) | −32.4695 | + | 3.65344i | −1.42115 | + | 0.159907i | ||||
\(523\) | − | 24.9417i | − | 1.09063i | −0.838233 | − | 0.545313i | \(-0.816411\pi\) | ||
0.838233 | − | 0.545313i | \(-0.183589\pi\) | |||||||
\(524\) | 0.0921808 | − | 33.5335i | 0.00402694 | − | 1.46492i | ||||
\(525\) | −2.73990 | − | 0.569934i | −0.119579 | − | 0.0248740i | ||||
\(526\) | 24.0623 | + | 0.0330725i | 1.04917 | + | 0.00144203i | ||||
\(527\) | −5.96920 | − | 10.3390i | −0.260023 | − | 0.450372i | ||||
\(528\) | 25.2899 | + | 22.8237i | 1.10060 | + | 0.993272i | ||||
\(529\) | 6.56623 | − | 11.3730i | 0.285488 | − | 0.494480i | ||||
\(530\) | −3.20107 | + | 5.52685i | −0.139046 | + | 0.240071i | ||||
\(531\) | −9.02010 | − | 12.1906i | −0.391439 | − | 0.529026i | ||||
\(532\) | 14.3711 | − | 8.24456i | 0.623066 | − | 0.357447i | ||||
\(533\) | −21.1857 | − | 12.2315i | −0.917653 | − | 0.529807i | ||||
\(534\) | −25.3027 | − | 5.29958i | −1.09496 | − | 0.229335i | ||||
\(535\) | 6.18808 | + | 10.7181i | 0.267534 | + | 0.463383i | ||||
\(536\) | 25.8200 | − | 14.7656i | 1.11525 | − | 0.637775i | ||||
\(537\) | −3.61469 | − | 3.22631i | −0.155985 | − | 0.139226i | ||||
\(538\) | −7.80605 | + | 4.49253i | −0.336543 | + | 0.193687i | ||||
\(539\) | − | 21.5826i | − | 0.929629i | ||||||
\(540\) | −6.02148 | + | 8.47005i | −0.259123 | + | 0.364493i | ||||
\(541\) | 11.7941i | 0.507070i | 0.967326 | + | 0.253535i | \(0.0815933\pi\) | ||||
−0.967326 | + | 0.253535i | \(0.918407\pi\) | |||||||
\(542\) | 9.36185 | + | 16.2668i | 0.402126 | + | 0.698719i | ||||
\(543\) | −19.3749 | − | 17.2931i | −0.831455 | − | 0.742120i | ||||
\(544\) | 7.34785 | − | 12.5272i | 0.315037 | − | 0.537101i | ||||
\(545\) | 7.31664 | + | 12.6728i | 0.313411 | + | 0.542843i | ||||
\(546\) | −2.22417 | + | 10.6193i | −0.0951858 | + | 0.454462i | ||||
\(547\) | 1.53344 | + | 0.885334i | 0.0655653 | + | 0.0378542i | 0.532424 | − | 0.846478i | \(-0.321281\pi\) |
−0.466859 | + | 0.884332i | \(0.654614\pi\) | |||||||
\(548\) | 0.779114 | + | 1.35807i | 0.0332821 | + | 0.0580140i | ||||
\(549\) | −9.31812 | + | 21.4288i | −0.397688 | + | 0.914559i | ||||
\(550\) | 6.01730 | + | 3.48513i | 0.256579 | + | 0.148606i | ||||
\(551\) | 19.7429 | − | 34.1957i | 0.841075 | − | 1.45678i | ||||
\(552\) | −15.0534 | − | 3.19612i | −0.640717 | − | 0.136036i | ||||
\(553\) | −7.10993 | − | 12.3148i | −0.302345 | − | 0.523677i | ||||
\(554\) | 0.00816670 | − | 5.94177i | 0.000346970 | − | 0.252442i | ||||
\(555\) | −10.8775 | − | 2.26266i | −0.461724 | − | 0.0960444i | ||||
\(556\) | −0.0396830 | + | 14.4359i | −0.00168293 | + | 0.612218i | ||||
\(557\) | − | 12.0765i | − | 0.511697i | −0.966717 | − | 0.255849i | \(-0.917645\pi\) | ||
0.966717 | − | 0.255849i | \(-0.0823548\pi\) | |||||||
\(558\) | −18.0813 | − | 7.89205i | −0.765441 | − | 0.334097i | ||||
\(559\) | 21.0894 | 0.891986 | ||||||||
\(560\) | 5.61478 | − | 3.20067i | 0.237268 | − | 0.135253i | ||||
\(561\) | 20.7652 | − | 6.84707i | 0.876708 | − | 0.289083i | ||||
\(562\) | −15.0914 | − | 0.0207425i | −0.636593 | − | 0.000874968i | ||||
\(563\) | 8.89459 | − | 5.13529i | 0.374862 | − | 0.216427i | −0.300718 | − | 0.953713i | \(-0.597226\pi\) |
0.675581 | + | 0.737286i | \(0.263893\pi\) | |||||||
\(564\) | 11.0932 | + | 2.33936i | 0.467108 | + | 0.0985048i | ||||
\(565\) | −2.79032 | − | 1.61099i | −0.117390 | − | 0.0677749i | ||||
\(566\) | −12.0936 | − | 7.00443i | −0.508332 | − | 0.294418i | ||||
\(567\) | −4.25224 | + | 13.9061i | −0.178577 | + | 0.584000i | ||||
\(568\) | −10.5236 | − | 0.0433930i | −0.441562 | − | 0.00182073i | ||||
\(569\) | −11.7719 | + | 20.3896i | −0.493506 | + | 0.854777i | −0.999972 | − | 0.00748293i | \(-0.997618\pi\) |
0.506466 | + | 0.862260i | \(0.330951\pi\) | |||||||
\(570\) | −3.91640 | − | 11.9324i | −0.164040 | − | 0.499795i | ||||
\(571\) | −37.7840 | + | 21.8146i | −1.58121 | + | 0.912912i | −0.586527 | + | 0.809930i | \(0.699505\pi\) |
−0.994683 | + | 0.102982i | \(0.967162\pi\) | |||||||
\(572\) | 13.5435 | − | 23.3098i | 0.566283 | − | 0.974634i | ||||
\(573\) | −4.38151 | − | 13.2879i | −0.183040 | − | 0.555109i | ||||
\(574\) | 10.1710 | + | 17.6728i | 0.424530 | + | 0.737647i | ||||
\(575\) | −3.14126 | −0.131000 | ||||||||
\(576\) | −2.51957 | − | 23.8674i | −0.104982 | − | 0.994474i | ||||
\(577\) | 35.6082 | 1.48239 | 0.741195 | − | 0.671290i | \(-0.234259\pi\) | ||||
0.741195 | + | 0.671290i | \(0.234259\pi\) | |||||||
\(578\) | 7.34251 | + | 12.7581i | 0.305408 | + | 0.530665i | ||||
\(579\) | 17.2088 | + | 3.57964i | 0.715171 | + | 0.148765i | ||||
\(580\) | 7.73806 | − | 13.3180i | 0.321306 | − | 0.553001i | ||||
\(581\) | 19.4383 | − | 11.2227i | 0.806436 | − | 0.465596i | ||||
\(582\) | 13.3880 | − | 14.9581i | 0.554949 | − | 0.620035i | ||||
\(583\) | 11.1032 | − | 19.2313i | 0.459848 | − | 0.796481i | ||||
\(584\) | −15.4481 | − | 0.0636985i | −0.639248 | − | 0.00263586i | ||||
\(585\) | 7.54195 | + | 3.27955i | 0.311821 | + | 0.135593i | ||||
\(586\) | −30.7064 | − | 17.7846i | −1.26847 | − | 0.734677i | ||||
\(587\) | −3.82703 | − | 2.20954i | −0.157959 | − | 0.0911974i | 0.418937 | − | 0.908015i | \(-0.362403\pi\) |
−0.576896 | + | 0.816818i | \(0.695736\pi\) | |||||||
\(588\) | −10.1562 | + | 11.3160i | −0.418833 | + | 0.466663i | ||||
\(589\) | 20.6471 | − | 11.9206i | 0.850751 | − | 0.491181i | ||||
\(590\) | 7.14877 | + | 0.00982566i | 0.294310 | + | 0.000404516i | ||||
\(591\) | 21.9085 | + | 19.5546i | 0.901197 | + | 0.804369i | ||||
\(592\) | 22.2909 | − | 12.7067i | 0.916148 | − | 0.522244i | ||||
\(593\) | 40.3517 | 1.65705 | 0.828523 | − | 0.559955i | \(-0.189182\pi\) | ||||
0.828523 | + | 0.559955i | \(0.189182\pi\) | |||||||
\(594\) | 20.8953 | − | 29.4779i | 0.857345 | − | 1.20949i | ||||
\(595\) | − | 4.14819i | − | 0.170059i | ||||||
\(596\) | 0.0804813 | − | 29.2775i | 0.00329664 | − | 1.19925i | ||||
\(597\) | −23.8803 | + | 26.7550i | −0.977357 | + | 1.09501i | ||||
\(598\) | −0.0167386 | + | 12.1783i | −0.000684491 | + | 0.498009i | ||||
\(599\) | 3.18585 | + | 5.51806i | 0.130170 | + | 0.225462i | 0.923742 | − | 0.383015i | \(-0.125114\pi\) |
−0.793572 | + | 0.608477i | \(0.791781\pi\) | |||||||
\(600\) | −1.51493 | − | 4.65886i | −0.0618468 | − | 0.190197i | ||||
\(601\) | −19.4131 | + | 33.6244i | −0.791875 | + | 1.37157i | 0.132929 | + | 0.991126i | \(0.457562\pi\) |
−0.924804 | + | 0.380443i | \(0.875772\pi\) | |||||||
\(602\) | −15.2114 | − | 8.81018i | −0.619969 | − | 0.359076i | ||||
\(603\) | −18.7649 | − | 25.3606i | −0.764166 | − | 1.03276i | ||||
\(604\) | 18.1184 | + | 31.5822i | 0.737229 | + | 1.28506i | ||||
\(605\) | −11.4116 | − | 6.58851i | −0.463949 | − | 0.267861i | ||||
\(606\) | −32.9503 | − | 29.4914i | −1.33851 | − | 1.19801i | ||||
\(607\) | −8.97333 | − | 15.5423i | −0.364216 | − | 0.630841i | 0.624434 | − | 0.781078i | \(-0.285330\pi\) |
−0.988650 | + | 0.150237i | \(0.951996\pi\) | |||||||
\(608\) | 25.0172 | + | 14.6738i | 1.01458 | + | 0.595102i | ||||
\(609\) | 4.38930 | − | 21.1011i | 0.177864 | − | 0.855061i | ||||
\(610\) | −5.49456 | − | 9.54714i | −0.222468 | − | 0.386552i | ||||
\(611\) | − | 8.97188i | − | 0.362963i | ||||||
\(612\) | −14.1095 | − | 6.18154i | −0.570341 | − | 0.249874i | ||||
\(613\) | 34.4046i | 1.38959i | 0.719208 | + | 0.694795i | \(0.244505\pi\) | ||||
−0.719208 | + | 0.694795i | \(0.755495\pi\) | |||||||
\(614\) | 28.6570 | − | 16.4926i | 1.15650 | − | 0.665589i | ||||
\(615\) | 14.6788 | − | 4.84015i | 0.591907 | − | 0.195174i | ||||
\(616\) | −19.5065 | + | 11.1551i | −0.785937 | + | 0.449450i | ||||
\(617\) | −15.9287 | − | 27.5894i | −0.641266 | − | 1.11071i | −0.985150 | − | 0.171694i | \(-0.945076\pi\) |
0.343884 | − | 0.939012i | \(-0.388257\pi\) | |||||||
\(618\) | −10.6430 | − | 32.4270i | −0.428124 | − | 1.30441i | ||||
\(619\) | −16.2813 | − | 9.40002i | −0.654401 | − | 0.377819i | 0.135739 | − | 0.990745i | \(-0.456659\pi\) |
−0.790140 | + | 0.612926i | \(0.789992\pi\) | |||||||
\(620\) | 8.06691 | − | 4.62791i | 0.323975 | − | 0.185861i | ||||
\(621\) | −1.49412 | + | 16.2540i | −0.0599569 | + | 0.652249i | ||||
\(622\) | 1.11209 | − | 1.92009i | 0.0445906 | − | 0.0769886i | ||||
\(623\) | 8.52622 | − | 14.7678i | 0.341596 | − | 0.591661i | ||||
\(624\) | −18.0700 | + | 5.84839i | −0.723377 | + | 0.234123i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0.275283 | 0.000378364i | 0.0110025 | 1.51225e-5i | ||||||
\(627\) | 13.6737 | + | 41.4686i | 0.546077 | + | 1.65610i | ||||
\(628\) | 0.0908524 | − | 33.0503i | 0.00362540 | − | 1.31885i | ||||
\(629\) | − | 16.4685i | − | 0.656641i | ||||||
\(630\) | −4.06981 | − | 5.51615i | −0.162145 | − | 0.219769i | ||||
\(631\) | −33.2186 | −1.32241 | −0.661205 | − | 0.750205i | \(-0.729955\pi\) | ||||
−0.661205 | + | 0.750205i | \(0.729955\pi\) | |||||||
\(632\) | 12.5350 | − | 21.5060i | 0.498616 | − | 0.855463i | ||||
\(633\) | −5.63946 | + | 27.1111i | −0.224149 | + | 1.07757i | ||||
\(634\) | −0.0376702 | + | 27.4074i | −0.00149607 | + | 1.08849i | ||||
\(635\) | 1.15466 | − | 0.666644i | 0.0458213 | − | 0.0264550i | ||||
\(636\) | −14.8713 | + | 4.85833i | −0.589684 | + | 0.192645i | ||||
\(637\) | 10.4208 | + | 6.01647i | 0.412888 | + | 0.238381i | ||||
\(638\) | −26.8404 | + | 46.3418i | −1.06262 | + | 1.83469i | ||||
\(639\) | 1.26332 | + | 11.0904i | 0.0499761 | + | 0.438728i | ||||
\(640\) | 9.74308 | + | 5.75086i | 0.385129 | + | 0.227323i | ||||
\(641\) | −21.4163 | + | 37.0941i | −0.845892 | + | 1.46513i | 0.0389520 | + | 0.999241i | \(0.487598\pi\) |
−0.884844 | + | 0.465887i | \(0.845735\pi\) | |||||||
\(642\) | −6.21460 | + | 29.6715i | −0.245271 | + | 1.17104i | ||||
\(643\) | −28.3573 | + | 16.3721i | −1.11830 | + | 0.645653i | −0.940967 | − | 0.338497i | \(-0.890081\pi\) |
−0.177336 | + | 0.984150i | \(0.556748\pi\) | |||||||
\(644\) | 5.09962 | − | 8.77700i | 0.200953 | − | 0.345862i | ||||
\(645\) | −8.87276 | + | 9.94085i | −0.349365 | + | 0.391421i | ||||
\(646\) | 16.1342 | − | 9.28551i | 0.634790 | − | 0.365334i | ||||
\(647\) | −10.5468 | −0.414638 | −0.207319 | − | 0.978273i | \(-0.566474\pi\) | ||||
−0.207319 | + | 0.978273i | \(0.566474\pi\) | |||||||
\(648\) | −24.8271 | + | 5.62281i | −0.975300 | + | 0.220885i | ||||
\(649\) | −24.8552 | −0.975653 | ||||||||
\(650\) | −3.36015 | + | 1.93383i | −0.131796 | + | 0.0758511i | ||||
\(651\) | 8.66554 | − | 9.70868i | 0.339629 | − | 0.380513i | ||||
\(652\) | 8.12863 | + | 4.72291i | 0.318342 | + | 0.184963i | ||||
\(653\) | −24.5561 | + | 14.1775i | −0.960956 | + | 0.554808i | −0.896467 | − | 0.443110i | \(-0.853875\pi\) |
−0.0644889 | + | 0.997918i | \(0.520542\pi\) | |||||||
\(654\) | −7.34800 | + | 35.0828i | −0.287330 | + | 1.37185i | ||||
\(655\) | 8.38341 | − | 14.5205i | 0.327567 | − | 0.567363i | ||||
\(656\) | −18.0170 | + | 30.8138i | −0.703445 | + | 1.20308i | ||||
\(657\) | 1.85448 | + | 16.2801i | 0.0723503 | + | 0.635146i | ||||
\(658\) | −3.74804 | + | 6.47124i | −0.146114 | + | 0.252275i | ||||
\(659\) | 2.36264 | + | 1.36407i | 0.0920354 | + | 0.0531366i | 0.545311 | − | 0.838234i | \(-0.316411\pi\) |
−0.453276 | + | 0.891370i | \(0.649745\pi\) | |||||||
\(660\) | 5.28945 | + | 16.1909i | 0.205891 | + | 0.630231i | ||||
\(661\) | 20.2542 | − | 11.6937i | 0.787796 | − | 0.454834i | −0.0513902 | − | 0.998679i | \(-0.516365\pi\) |
0.839186 | + | 0.543845i | \(0.183032\pi\) | |||||||
\(662\) | −0.00717849 | + | 5.22279i | −0.000279000 | + | 0.202989i | ||||
\(663\) | −2.48261 | + | 11.9349i | −0.0964165 | + | 0.463512i | ||||
\(664\) | 33.9463 | + | 19.7860i | 1.31737 | + | 0.767844i | ||||
\(665\) | 8.28403 | 0.321241 | ||||||||
\(666\) | −16.1573 | − | 21.8993i | −0.626082 | − | 0.848580i | ||||
\(667\) | − | 24.1922i | − | 0.936726i | ||||||
\(668\) | −16.8074 | − | 0.0462020i | −0.650296 | − | 0.00178761i | ||||
\(669\) | 1.24087 | + | 3.76320i | 0.0479747 | + | 0.145494i | ||||
\(670\) | 14.8719 | + | 0.0204407i | 0.574551 | + | 0.000789695i | ||||
\(671\) | 19.1494 | + | 33.1677i | 0.739254 | + | 1.28043i | ||||
\(672\) | 15.4767 | + | 3.33047i | 0.597026 | + | 0.128476i | ||||
\(673\) | 2.09381 | − | 3.62658i | 0.0807104 | − | 0.139795i | −0.822845 | − | 0.568266i | \(-0.807614\pi\) |
0.903555 | + | 0.428472i | \(0.140948\pi\) | |||||||
\(674\) | 8.28836 | − | 14.3104i | 0.319256 | − | 0.551216i | ||||
\(675\) | −4.71893 | + | 2.17525i | −0.181632 | + | 0.0837254i | ||||
\(676\) | −5.45871 | − | 9.51508i | −0.209951 | − | 0.365965i | ||||
\(677\) | 7.67632 | + | 4.43192i | 0.295025 | + | 0.170333i | 0.640206 | − | 0.768203i | \(-0.278849\pi\) |
−0.345181 | + | 0.938536i | \(0.612182\pi\) | |||||||
\(678\) | −2.46116 | − | 7.49864i | −0.0945203 | − | 0.287984i | ||||
\(679\) | 6.62080 | + | 11.4676i | 0.254083 | + | 0.440084i | ||||
\(680\) | 6.30364 | − | 3.60483i | 0.241734 | − | 0.138239i | ||||
\(681\) | −35.2906 | + | 11.6366i | −1.35234 | + | 0.445916i | ||||
\(682\) | −28.0253 | + | 16.1291i | −1.07315 | + | 0.617616i | ||||
\(683\) | 13.8024i | 0.528134i | 0.964504 | + | 0.264067i | \(0.0850639\pi\) | ||||
−0.964504 | + | 0.264067i | \(0.914936\pi\) | |||||||
\(684\) | 12.3447 | − | 28.1769i | 0.472010 | − | 1.07737i | ||||
\(685\) | 0.782844i | 0.0299109i | ||||||||
\(686\) | −12.9814 | − | 22.5560i | −0.495632 | − | 0.861192i | ||||
\(687\) | −4.40185 | + | 21.1614i | −0.167941 | + | 0.807360i | ||||
\(688\) | 0.169178 | − | 30.7715i | 0.00644984 | − | 1.17315i | ||||
\(689\) | 6.19037 | + | 10.7220i | 0.235834 | + | 0.408477i | ||||
\(690\) | −5.73343 | − | 5.13158i | −0.218268 | − | 0.195356i | ||||
\(691\) | −4.84250 | − | 2.79582i | −0.184217 | − | 0.106358i | 0.405055 | − | 0.914292i | \(-0.367252\pi\) |
−0.589273 | + | 0.807934i | \(0.700586\pi\) | |||||||
\(692\) | −24.9398 | + | 14.3078i | −0.948071 | + | 0.543899i | ||||
\(693\) | 14.1765 | + | 19.1594i | 0.538520 | + | 0.727804i | ||||
\(694\) | −15.2812 | − | 8.85064i | −0.580067 | − | 0.335966i | ||||
\(695\) | −3.60898 | + | 6.25094i | −0.136897 | + | 0.237112i | ||||
\(696\) | 35.8799 | − | 11.6671i | 1.36002 | − | 0.442241i | ||||
\(697\) | 11.4551 | + | 19.8408i | 0.433893 | + | 0.751525i | ||||
\(698\) | −0.0151077 | + | 10.9918i | −0.000571834 | + | 0.416044i | ||||
\(699\) | 24.0219 | − | 26.9137i | 0.908593 | − | 1.01797i | ||||
\(700\) | 3.23147 | + | 0.00888305i | 0.122138 | + | 0.000335748i | ||||
\(701\) | 44.5221i | 1.68158i | 0.541363 | + | 0.840789i | \(0.317908\pi\) | ||||
−0.541363 | + | 0.840789i | \(0.682092\pi\) | |||||||
\(702\) | 8.40806 | + | 18.3064i | 0.317342 | + | 0.690929i | ||||
\(703\) | 32.8879 | 1.24039 | ||||||||
\(704\) | −33.9027 | − | 19.9483i | −1.27776 | − | 0.751830i | ||||
\(705\) | 4.22905 | + | 3.77466i | 0.159275 | + | 0.142162i | ||||
\(706\) | −43.7001 | − | 0.0600638i | −1.64467 | − | 0.00226053i | ||||
\(707\) | 25.2611 | − | 14.5845i | 0.950042 | − | 0.548507i | ||||
\(708\) | 13.0319 | + | 11.6962i | 0.489767 | + | 0.439569i | ||||
\(709\) | 10.1093 | + | 5.83659i | 0.379662 | + | 0.219198i | 0.677671 | − | 0.735365i | \(-0.262989\pi\) |
−0.298009 | + | 0.954563i | \(0.596323\pi\) | |||||||
\(710\) | −4.55328 | − | 2.63719i | −0.170882 | − | 0.0989720i | ||||
\(711\) | −24.2124 | − | 10.5285i | −0.908035 | − | 0.394851i | ||||
\(712\) | 29.8508 | + | 0.123086i | 1.11871 | + | 0.00461285i | ||||
\(713\) | 7.30355 | − | 12.6501i | 0.273520 | − | 0.473751i | ||||
\(714\) | 6.77650 | − | 7.57127i | 0.253604 | − | 0.283348i | ||||
\(715\) | 11.6735 | − | 6.73970i | 0.436564 | − | 0.252050i | ||||
\(716\) | 4.83740 | + | 2.81063i | 0.180782 | + | 0.105038i | ||||
\(717\) | 39.1777 | + | 8.14946i | 1.46312 | + | 0.304347i | ||||
\(718\) | 23.3654 | + | 40.5988i | 0.871988 | + | 1.51513i | ||||
\(719\) | 29.9132 | 1.11557 | 0.557787 | − | 0.829984i | \(-0.311650\pi\) | ||||
0.557787 | + | 0.829984i | \(0.311650\pi\) | |||||||
\(720\) | 4.84568 | − | 10.9781i | 0.180588 | − | 0.409131i | ||||
\(721\) | 22.5123 | 0.838401 | ||||||||
\(722\) | 5.14034 | + | 8.93166i | 0.191304 | + | 0.332402i | ||||
\(723\) | −13.6659 | − | 41.4449i | −0.508241 | − | 1.54135i | ||||
\(724\) | 25.9286 | + | 15.0651i | 0.963630 | + | 0.559889i | ||||
\(725\) | 6.66963 | − | 3.85071i | 0.247704 | − | 0.143012i | ||||
\(726\) | −10.0655 | − | 30.6674i | −0.373565 | − | 1.13817i | ||||
\(727\) | −6.53600 | + | 11.3207i | −0.242407 | + | 0.419861i | −0.961399 | − | 0.275157i | \(-0.911270\pi\) |
0.718993 | + | 0.695018i | \(0.244603\pi\) | |||||||
\(728\) | 0.0516579 | − | 12.5280i | 0.00191457 | − | 0.464319i | ||||
\(729\) | 9.01095 | + | 25.4520i | 0.333739 | + | 0.942666i | ||||
\(730\) | −6.68397 | − | 3.87125i | −0.247385 | − | 0.143281i | ||||
\(731\) | −17.1046 | − | 9.87534i | −0.632636 | − | 0.365253i | ||||
\(732\) | 5.56757 | − | 26.4013i | 0.205783 | − | 0.975821i | ||||
\(733\) | 0.611885 | − | 0.353272i | 0.0226005 | − | 0.0130484i | −0.488657 | − | 0.872476i | \(-0.662513\pi\) |
0.511258 | + | 0.859427i | \(0.329180\pi\) | |||||||
\(734\) | −3.01103 | − | 0.00413852i | −0.111139 | − | 0.000152756i | ||||
\(735\) | −7.22023 | + | 2.38078i | −0.266322 | + | 0.0878164i | ||||
\(736\) | 17.7693 | + | 0.122117i | 0.654983 | + | 0.00450129i | ||||
\(737\) | −51.7074 | −1.90467 | ||||||||
\(738\) | 34.6986 | + | 15.1451i | 1.27727 | + | 0.557499i | ||||
\(739\) | 50.9622i | 1.87467i | 0.348423 | + | 0.937337i | \(0.386717\pi\) | ||||
−0.348423 | + | 0.937337i | \(0.613283\pi\) | |||||||
\(740\) | 12.8291 | + | 0.0352660i | 0.471605 | + | 0.00129640i | ||||
\(741\) | −23.8342 | − | 4.95782i | −0.875572 | − | 0.182130i | ||||
\(742\) | 0.0141839 | − | 10.3196i | 0.000520707 | − | 0.378846i | ||||
\(743\) | 21.9712 | + | 38.0553i | 0.806046 | + | 1.39611i | 0.915582 | + | 0.402130i | \(0.131730\pi\) |
−0.109536 | + | 0.993983i | \(0.534937\pi\) | |||||||
\(744\) | 22.2839 | + | 4.73127i | 0.816966 | + | 0.173457i | ||||
\(745\) | 7.31940 | − | 12.6776i | 0.268162 | − | 0.464470i | ||||
\(746\) | 38.8375 | + | 22.4941i | 1.42194 | + | 0.823567i | ||||
\(747\) | 16.6188 | − | 38.2181i | 0.608051 | − | 1.39833i | ||||
\(748\) | −21.8996 | + | 12.5636i | −0.800728 | + | 0.459370i | ||||
\(749\) | −17.3177 | − | 9.99835i | −0.632773 | − | 0.365332i | ||||
\(750\) | 0.502143 | − | 2.39747i | 0.0183357 | − | 0.0875432i | ||||
\(751\) | 19.1191 | + | 33.1152i | 0.697664 | + | 1.20839i | 0.969274 | + | 0.245983i | \(0.0791107\pi\) |
−0.271610 | + | 0.962407i | \(0.587556\pi\) | |||||||
\(752\) | −13.0909 | − | 0.0719718i | −0.477374 | − | 0.00262454i | ||||
\(753\) | −17.7845 | − | 15.8736i | −0.648102 | − | 0.578467i | ||||
\(754\) | −14.8932 | − | 25.8779i | −0.542380 | − | 0.942419i | ||||
\(755\) | 18.2052i | 0.662555i | ||||||||
\(756\) | 1.58299 | − | 16.7165i | 0.0575728 | − | 0.607974i | ||||
\(757\) | 9.38604i | 0.341141i | 0.985345 | + | 0.170571i | \(0.0545611\pi\) | ||||
−0.985345 | + | 0.170571i | \(0.945439\pi\) | |||||||
\(758\) | −35.7866 | + | 20.5959i | −1.29983 | + | 0.748077i | ||||
\(759\) | 19.9588 | + | 17.8143i | 0.724458 | + | 0.646619i | ||||
\(760\) | 7.19893 | + | 12.5885i | 0.261133 | + | 0.456633i | ||||
\(761\) | −14.5041 | − | 25.1219i | −0.525774 | − | 0.910667i | −0.999549 | − | 0.0300213i | \(-0.990442\pi\) |
0.473775 | − | 0.880646i | \(-0.342891\pi\) | |||||||
\(762\) | 3.19651 | + | 0.669501i | 0.115798 | + | 0.0242535i | ||||
\(763\) | −20.4760 | − | 11.8218i | −0.741280 | − | 0.427978i | ||||
\(764\) | 8.03957 | + | 14.0138i | 0.290861 | + | 0.507000i | ||||
\(765\) | −4.58122 | − | 6.19148i | −0.165635 | − | 0.223853i | ||||
\(766\) | −23.2244 | + | 40.0984i | −0.839131 | + | 1.44881i | ||||
\(767\) | 6.92876 | − | 12.0010i | 0.250183 | − | 0.433330i | ||||
\(768\) | 8.38842 | + | 26.4128i | 0.302691 | + | 0.953089i | ||||
\(769\) | −4.53183 | − | 7.84936i | −0.163422 | − | 0.283055i | 0.772672 | − | 0.634806i | \(-0.218920\pi\) |
−0.936094 | + | 0.351751i | \(0.885587\pi\) | |||||||
\(770\) | −11.2354 | − | 0.0154425i | −0.404895 | − | 0.000556510i | ||||
\(771\) | 20.7233 | + | 4.31071i | 0.746332 | + | 0.155247i | ||||
\(772\) | −20.2962 | − | 0.0557926i | −0.730477 | − | 0.00200802i | ||||
\(773\) | − | 20.3406i | − | 0.731600i | −0.930694 | − | 0.365800i | \(-0.880795\pi\) | ||
0.930694 | − | 0.365800i | \(-0.119205\pi\) | |||||||
\(774\) | −32.4339 | + | 3.64944i | −1.16581 | + | 0.131176i | ||||
\(775\) | 4.65007 | 0.167036 | ||||||||
\(776\) | −11.6727 | + | 20.0265i | −0.419024 | + | 0.718909i | ||||
\(777\) | 17.0485 | − | 5.62153i | 0.611613 | − | 0.201671i | ||||
\(778\) | 0.0277177 | − | 20.1663i | 0.000993728 | − | 0.722998i | ||||
\(779\) | −39.6226 | + | 22.8761i | −1.41963 | + | 0.819621i | ||||
\(780\) | −9.29204 | − | 1.95953i | −0.332709 | − | 0.0701623i | ||||
\(781\) | 15.8437 | + | 9.14736i | 0.566932 | + | 0.327318i | ||||
\(782\) | 5.71622 | − | 9.86942i | 0.204411 | − | 0.352930i | ||||
\(783\) | −16.7525 | − | 36.3425i | −0.598686 | − | 1.29877i | ||||
\(784\) | 8.86221 | − | 15.1567i | 0.316508 | − | 0.541312i | ||||
\(785\) | 8.26260 | − | 14.3112i | 0.294905 | − | 0.510790i | ||||
\(786\) | 39.0221 | − | 12.8076i | 1.39187 | − | 0.456832i | ||||
\(787\) | 2.52807 | − | 1.45958i | 0.0901159 | − | 0.0520284i | −0.454265 | − | 0.890867i | \(-0.650098\pi\) |
0.544381 | + | 0.838838i | \(0.316765\pi\) | |||||||
\(788\) | −29.3194 | − | 17.0352i | −1.04446 | − | 0.606853i | ||||
\(789\) | 9.22867 | + | 27.9879i | 0.328549 | + | 0.996397i | ||||
\(790\) | 10.7873 | − | 6.20829i | 0.383795 | − | 0.220881i | ||||
\(791\) | 5.20589 | 0.185100 | ||||||||
\(792\) | −16.7952 | + | 38.1925i | −0.596793 | + | 1.35711i | ||||
\(793\) | −21.3527 | −0.758256 | ||||||||
\(794\) | −15.3173 | + | 8.81539i | −0.543590 | + | 0.312846i | ||||
\(795\) | −7.65843 | − | 1.59305i | −0.271617 | − | 0.0564998i | ||||
\(796\) | 20.8036 | − | 35.8052i | 0.737364 | − | 1.26908i | ||||
\(797\) | 32.9422 | − | 19.0192i | 1.16687 | − | 0.673694i | 0.213931 | − | 0.976849i | \(-0.431373\pi\) |
0.952941 | + | 0.303155i | \(0.0980398\pi\) | |||||||
\(798\) | 15.1200 | + | 13.5328i | 0.535242 | + | 0.479057i | ||||
\(799\) | −4.20118 | + | 7.27666i | −0.148627 | + | 0.257430i | ||||
\(800\) | 2.79469 | + | 4.91830i | 0.0988073 | + | 0.173888i | ||||
\(801\) | −3.58346 | − | 31.4584i | −0.126615 | − | 1.11153i | ||||
\(802\) | 1.64189 | − | 2.83484i | 0.0579773 | − | 0.100102i | ||||
\(803\) | 23.2577 | + | 13.4278i | 0.820746 | + | 0.473858i | ||||
\(804\) | 27.1107 | + | 24.3321i | 0.956122 | + | 0.858126i | ||||
\(805\) | 4.39549 | − | 2.53774i | 0.154921 | − | 0.0894435i | ||||
\(806\) | 0.0247784 | − | 18.0278i | 0.000872783 | − | 0.635003i | ||||
\(807\) | −8.22943 | − | 7.34523i | −0.289690 | − | 0.258564i | ||||
\(808\) | 44.1150 | + | 25.7129i | 1.55196 | + | 0.904578i | ||||
\(809\) | 6.51802 | 0.229161 | 0.114581 | − | 0.993414i | \(-0.463448\pi\) | ||||
0.114581 | + | 0.993414i | \(0.463448\pi\) | |||||||
\(810\) | −12.1665 | − | 3.73859i | −0.427486 | − | 0.131361i | ||||
\(811\) | − | 26.4305i | − | 0.928102i | −0.885809 | − | 0.464051i | \(-0.846396\pi\) | ||
0.885809 | − | 0.464051i | \(-0.153604\pi\) | |||||||
\(812\) | −0.0684121 | + | 24.8869i | −0.00240079 | + | 0.873360i | ||||
\(813\) | −15.3065 | + | 17.1491i | −0.536822 | + | 0.601444i | ||||
\(814\) | −44.6049 | − | 0.0613074i | −1.56340 | − | 0.00214882i | ||||
\(815\) | 2.35027 | + | 4.07079i | 0.0823265 | + | 0.142594i | ||||
\(816\) | 17.3942 | + | 3.71811i | 0.608921 | + | 0.130160i | ||||
\(817\) | 19.7213 | − | 34.1582i | 0.689960 | − | 1.19505i | ||||
\(818\) | −19.0469 | + | 32.8857i | −0.665959 | + | 1.14982i | ||||
\(819\) | −13.2027 | + | 1.50394i | −0.461340 | + | 0.0525518i | ||||
\(820\) | −15.4807 | + | 8.88113i | −0.540609 | + | 0.310142i | ||||
\(821\) | 5.77765 | + | 3.33573i | 0.201641 | + | 0.116418i | 0.597421 | − | 0.801928i | \(-0.296192\pi\) |
−0.395779 | + | 0.918346i | \(0.629526\pi\) | |||||||
\(822\) | −1.27886 | + | 1.42884i | −0.0446052 | + | 0.0498367i | ||||
\(823\) | 17.3276 | + | 30.0123i | 0.604002 | + | 1.04616i | 0.992208 | + | 0.124589i | \(0.0397613\pi\) |
−0.388207 | + | 0.921572i | \(0.626905\pi\) | |||||||
\(824\) | 19.5635 | + | 34.2099i | 0.681525 | + | 1.19176i | ||||
\(825\) | −1.73442 | + | 8.33804i | −0.0603847 | + | 0.290293i | ||||
\(826\) | −10.0110 | + | 5.76154i | −0.348328 | + | 0.200469i | ||||
\(827\) | 24.5697i | 0.854371i | 0.904164 | + | 0.427186i | \(0.140495\pi\) | ||||
−0.904164 | + | 0.427186i | \(0.859505\pi\) | |||||||
\(828\) | −2.08167 | − | 18.7323i | −0.0723431 | − | 0.650992i | ||||
\(829\) | 43.6041i | 1.51443i | 0.653163 | + | 0.757217i | \(0.273442\pi\) | ||||
−0.653163 | + | 0.757217i | \(0.726558\pi\) | |||||||
\(830\) | 9.79952 | + | 17.0273i | 0.340146 | + | 0.591025i | ||||
\(831\) | 6.91114 | − | 2.27886i | 0.239745 | − | 0.0790528i | ||||
\(832\) | 19.0826 | − | 10.8085i | 0.661570 | − | 0.374718i | ||||
\(833\) | −5.63455 | − | 9.75933i | −0.195226 | − | 0.338141i | ||||
\(834\) | −16.7987 | + | 5.51356i | −0.581690 | + | 0.190919i | ||||
\(835\) | −7.27782 | − | 4.20185i | −0.251860 | − | 0.145411i | ||||
\(836\) | −25.0898 | − | 43.7340i | −0.867748 | − | 1.51257i | ||||
\(837\) | 2.21177 | − | 24.0610i | 0.0764500 | − | 0.831671i | ||||
\(838\) | −10.2308 | − | 5.92552i | −0.353417 | − | 0.204694i | ||||
\(839\) | 5.55464 | − | 9.62091i | 0.191767 | − | 0.332151i | −0.754069 | − | 0.656796i | \(-0.771911\pi\) |
0.945836 | + | 0.324645i | \(0.105245\pi\) | |||||||
\(840\) | 5.88356 | + | 5.29516i | 0.203002 | + | 0.182700i | ||||
\(841\) | 15.1560 | + | 26.2509i | 0.522619 | + | 0.905203i | ||||
\(842\) | 0.0279130 | − | 20.3084i | 0.000961945 | − | 0.699874i | ||||
\(843\) | −5.78804 | − | 17.5535i | −0.199351 | − | 0.604574i | ||||
\(844\) | 0.0878972 | − | 31.9752i | 0.00302555 | − | 1.10063i | ||||
\(845\) | − | 5.48485i | − | 0.188685i | ||||||
\(846\) | 1.55255 | + | 13.7981i | 0.0533778 | + | 0.474388i | ||||
\(847\) | 21.2907 | 0.731556 | ||||||||
\(848\) | 15.6942 | − | 8.94634i | 0.538940 | − | 0.307219i | ||||
\(849\) | 3.48585 | − | 16.7578i | 0.119634 | − | 0.575128i | ||||
\(850\) | 3.63079 | + | 0.00499036i | 0.124535 | + | 0.000171168i | ||||
\(851\) | 17.4502 | − | 10.0749i | 0.598187 | − | 0.345363i | ||||
\(852\) | −4.00252 | − | 12.2516i | −0.137124 | − | 0.419735i | ||||
\(853\) | 24.7149 | + | 14.2692i | 0.846223 | + | 0.488567i | 0.859375 | − | 0.511347i | \(-0.170853\pi\) |
−0.0131520 | + | 0.999914i | \(0.504187\pi\) | |||||||
\(854\) | 15.4013 | + | 8.92017i | 0.527020 | + | 0.305242i | ||||
\(855\) | 12.3645 | − | 9.14881i | 0.422858 | − | 0.312883i | ||||
\(856\) | 0.144338 | − | 35.0048i | 0.00493338 | − | 1.19644i | ||||
\(857\) | −12.2373 | + | 21.1956i | −0.418018 | + | 0.724029i | −0.995740 | − | 0.0922049i | \(-0.970609\pi\) |
0.577722 | + | 0.816234i | \(0.303942\pi\) | |||||||
\(858\) | 32.3164 | + | 6.76858i | 1.10326 | + | 0.231075i | ||||
\(859\) | 31.5274 | − | 18.2023i | 1.07570 | − | 0.621056i | 0.145967 | − | 0.989289i | \(-0.453371\pi\) |
0.929733 | + | 0.368233i | \(0.120037\pi\) | |||||||
\(860\) | 7.72959 | − | 13.3035i | 0.263577 | − | 0.453644i | ||||
\(861\) | −16.6295 | + | 18.6313i | −0.566730 | + | 0.634953i | ||||
\(862\) | −23.7322 | − | 41.2361i | −0.808321 | − | 1.40451i | ||||
\(863\) | −52.2814 | −1.77968 | −0.889839 | − | 0.456274i | \(-0.849184\pi\) | ||||
−0.889839 | + | 0.456274i | \(0.849184\pi\) | |||||||
\(864\) | 26.7782 | − | 12.1213i | 0.911014 | − | 0.412376i | ||||
\(865\) | −14.3763 | −0.488808 | ||||||||
\(866\) | −3.79478 | − | 6.59366i | −0.128952 | − | 0.224062i | ||||
\(867\) | −12.0049 | + | 13.4500i | −0.407708 | + | 0.456787i | ||||
\(868\) | −7.54906 | + | 12.9927i | −0.256232 | + | 0.441003i | ||||
\(869\) | −37.4761 | + | 21.6369i | −1.27129 | + | 0.733980i | ||||
\(870\) | 18.4639 | + | 3.86721i | 0.625985 | + | 0.131111i | ||||
\(871\) | 14.4142 | − | 24.9661i | 0.488406 | − | 0.845945i | ||||
\(872\) | 0.170662 | − | 41.3888i | 0.00577935 | − | 1.40160i | ||||
\(873\) | 22.5467 | + | 9.80422i | 0.763089 | + | 0.331822i | ||||
\(874\) | 19.7095 | + | 11.4154i | 0.666682 | + | 0.386132i | ||||
\(875\) | 1.39927 | + | 0.807871i | 0.0473041 | + | 0.0273110i | ||||
\(876\) | −5.87548 | − | 17.9848i | −0.198514 | − | 0.607648i | ||||
\(877\) | 45.5790 | − | 26.3150i | 1.53909 | − | 0.888596i | 0.540201 | − | 0.841536i | \(-0.318348\pi\) |
0.998892 | − | 0.0470598i | \(-0.0149851\pi\) | |||||||
\(878\) | 16.3659 | + | 0.0224942i | 0.552322 | + | 0.000759142i | ||||
\(879\) | 8.85076 | − | 42.5491i | 0.298529 | − | 1.43515i | ||||
\(880\) | −9.74023 | − | 17.0868i | −0.328343 | − | 0.575997i | ||||
\(881\) | −23.9641 | −0.807371 | −0.403686 | − | 0.914898i | \(-0.632271\pi\) | ||||
−0.403686 | + | 0.914898i | \(0.632271\pi\) | |||||||
\(882\) | −17.0676 | − | 7.44960i | −0.574696 | − | 0.250841i | ||||
\(883\) | − | 14.2196i | − | 0.478526i | −0.970955 | − | 0.239263i | \(-0.923094\pi\) | ||
0.970955 | − | 0.239263i | \(-0.0769059\pi\) | |||||||
\(884\) | 0.0386942 | − | 14.0762i | 0.00130143 | − | 0.473432i | ||||
\(885\) | 2.74178 | + | 8.31505i | 0.0921640 | + | 0.279507i | ||||
\(886\) | −0.0359749 | + | 26.1739i | −0.00120860 | + | 0.879330i | ||||
\(887\) | 14.3327 | + | 24.8250i | 0.481247 | + | 0.833543i | 0.999768 | − | 0.0215209i | \(-0.00685085\pi\) |
−0.518522 | + | 0.855064i | \(0.673518\pi\) | |||||||
\(888\) | 23.3579 | + | 21.0219i | 0.783841 | + | 0.705450i | ||||
\(889\) | −1.07713 | + | 1.86564i | −0.0361256 | + | 0.0625714i | ||||
\(890\) | 12.9156 | + | 7.48052i | 0.432932 | + | 0.250748i | ||||
\(891\) | 42.3188 | + | 12.9404i | 1.41773 | + | 0.433519i | ||||
\(892\) | −2.27685 | − | 3.96877i | −0.0762346 | − | 0.132884i | ||||
\(893\) | −14.5316 | − | 8.38985i | −0.486283 | − | 0.280756i | ||||
\(894\) | 34.0695 | − | 11.1821i | 1.13945 | − | 0.373985i | ||||
\(895\) | 1.39866 | + | 2.42255i | 0.0467521 | + | 0.0809771i | ||||
\(896\) | −18.2792 | − | 0.175873i | −0.610665 | − | 0.00587550i | ||||
\(897\) | −14.1652 | + | 4.67078i | −0.472961 | + | 0.155953i | ||||
\(898\) | −0.764942 | − | 1.32913i | −0.0255264 | − | 0.0443538i | ||||
\(899\) | 35.8122i | 1.19440i | ||||||||
\(900\) | 4.83302 | − | 3.55555i | 0.161101 | − | 0.118518i | ||||
\(901\) | − | 11.5948i | − | 0.386280i | ||||||
\(902\) | 53.7816 | − | 30.9523i | 1.79073 | − | 1.03060i | ||||
\(903\) | 4.38450 | − | 21.0780i | 0.145907 | − | 0.701433i | ||||
\(904\) | 4.52399 | + | 7.91093i | 0.150466 | + | 0.263114i | ||||
\(905\) | 7.49688 | + | 12.9850i | 0.249205 | + | 0.431635i | ||||
\(906\) | −29.7400 | + | 33.2281i | −0.988047 | + | 1.10393i | ||||
\(907\) | −26.8939 | − | 15.5272i | −0.892999 | − | 0.515573i | −0.0180765 | − | 0.999837i | \(-0.505754\pi\) |
−0.874922 | + | 0.484264i | \(0.839088\pi\) | |||||||
\(908\) | 37.2184 | − | 21.3519i | 1.23514 | − | 0.708587i | ||||
\(909\) | 21.5971 | − | 49.6666i | 0.716329 | − | 1.64734i | ||||
\(910\) | 3.13948 | − | 5.42053i | 0.104073 | − | 0.179689i | ||||
\(911\) | −2.06730 | + | 3.58066i | −0.0684926 | + | 0.118633i | −0.898238 | − | 0.439509i | \(-0.855152\pi\) |
0.829745 | + | 0.558142i | \(0.188486\pi\) | |||||||
\(912\) | −7.42515 | + | 34.7367i | −0.245871 | + | 1.15025i | ||||
\(913\) | −34.1528 | − | 59.1544i | −1.13029 | − | 1.95773i | ||||
\(914\) | 9.58858 | + | 0.0131791i | 0.317162 | + | 0.000435925i | ||||
\(915\) | 8.98353 | − | 10.0650i | 0.296986 | − | 0.332737i | ||||
\(916\) | 0.0686077 | − | 24.9581i | 0.00226686 | − | 0.824638i | ||||
\(917\) | 27.0909i | 0.894619i | ||||||||
\(918\) | 1.75278 | − | 18.7846i | 0.0578504 | − | 0.619983i | ||||
\(919\) | −5.52388 | −0.182216 | −0.0911080 | − | 0.995841i | \(-0.529041\pi\) | ||||
−0.0911080 | + | 0.995841i | \(0.529041\pi\) | |||||||
\(920\) | 7.67611 | + | 4.47411i | 0.253074 | + | 0.147507i | ||||
\(921\) | 30.2113 | + | 26.9652i | 0.995495 | + | 0.888535i | ||||
\(922\) | 0.0211407 | − | 15.3812i | 0.000696233 | − | 0.506552i | ||||
\(923\) | −8.83332 | + | 5.09992i | −0.290752 | + | 0.167866i | ||||
\(924\) | −20.4816 | − | 18.3823i | −0.673794 | − | 0.604735i | ||||
\(925\) | 5.55516 | + | 3.20728i | 0.182653 | + | 0.105455i | ||||
\(926\) | 21.3336 | − | 36.8338i | 0.701065 | − | 1.21044i | ||||
\(927\) | 33.6012 | − | 24.8623i | 1.10361 | − | 0.816586i | ||||
\(928\) | −37.8779 | + | 21.5231i | −1.24340 | + | 0.706531i | ||||
\(929\) | −19.0672 | + | 33.0253i | −0.625573 | + | 1.08352i | 0.362857 | + | 0.931845i | \(0.381801\pi\) |
−0.988430 | + | 0.151680i | \(0.951532\pi\) | |||||||
\(930\) | 8.48730 | + | 7.59637i | 0.278309 | + | 0.249095i | ||||
\(931\) | 19.4896 | − | 11.2523i | 0.638746 | − | 0.368780i | ||||
\(932\) | −20.9269 | + | 36.0175i | −0.685485 | + | 1.17979i | ||||
\(933\) | 2.66062 | + | 0.553444i | 0.0871049 | + | 0.0181189i | ||||
\(934\) | 22.6258 | − | 13.0216i | 0.740340 | − | 0.426080i | ||||
\(935\) | −12.6237 | −0.412841 | ||||||||
\(936\) | −13.7587 | − | 18.7560i | −0.449718 | − | 0.613060i | ||||
\(937\) | −44.5566 | −1.45560 | −0.727800 | − | 0.685790i | \(-0.759457\pi\) | ||||
−0.727800 | + | 0.685790i | \(0.759457\pi\) | |||||||
\(938\) | −20.8264 | + | 11.9860i | −0.680005 | + | 0.391356i | ||||
\(939\) | 0.105580 | + | 0.320194i | 0.00344547 | + | 0.0104491i | ||||
\(940\) | −5.65957 | − | 3.28833i | −0.184595 | − | 0.107254i | ||||
\(941\) | 10.4558 | − | 6.03667i | 0.340850 | − | 0.196790i | −0.319798 | − | 0.947486i | \(-0.603615\pi\) |
0.660648 | + | 0.750696i | \(0.270282\pi\) | |||||||
\(942\) | 38.4597 | − | 12.6230i | 1.25309 | − | 0.411280i | ||||
\(943\) | −14.0158 | + | 24.2760i | −0.456416 | + | 0.790536i | ||||
\(944\) | −17.4550 | − | 10.2060i | −0.568112 | − | 0.332177i | ||||
\(945\) | 4.84575 | − | 6.85606i | 0.157632 | − | 0.223028i | ||||
\(946\) | −26.8111 | + | 46.2911i | −0.871703 | + | 1.50505i | ||||
\(947\) | 0.433613 | + | 0.250347i | 0.0140905 | + | 0.00813517i | 0.507029 | − | 0.861929i | \(-0.330744\pi\) |
−0.492938 | + | 0.870064i | \(0.664077\pi\) | |||||||
\(948\) | 29.8308 | + | 6.29079i | 0.968860 | + | 0.204315i | ||||
\(949\) | −12.9668 | + | 7.48640i | −0.420921 | + | 0.243019i | ||||
\(950\) | −0.00996586 | + | 7.25077i | −0.000323335 | + | 0.235246i | ||||
\(951\) | −31.8787 | + | 10.5116i | −1.03374 | + | 0.340862i | ||||
\(952\) | −5.90828 | + | 10.1367i | −0.191488 | + | 0.328532i | ||||
\(953\) | −1.38585 | −0.0448921 | −0.0224460 | − | 0.999748i | \(-0.507145\pi\) | ||||
−0.0224460 | + | 0.999748i | \(0.507145\pi\) | |||||||
\(954\) | −11.3757 | − | 15.4185i | −0.368303 | − | 0.499191i | ||||
\(955\) | 8.07806i | 0.261400i | ||||||||
\(956\) | −46.2067 | − | 0.127018i | −1.49443 | − | 0.00410806i | ||||
\(957\) | −64.2147 | − | 13.3575i | −2.07577 | − | 0.431786i | ||||
\(958\) | −4.90414 | − | 0.00674051i | −0.158445 | − | 0.000217776i | ||||
\(959\) | −0.632437 | − | 1.09541i | −0.0204225 | − | 0.0353727i | ||||
\(960\) | −2.93368 | + | 13.5423i | −0.0946842 | + | 0.437075i | ||||
\(961\) | 4.68842 | − | 8.12058i | 0.151239 | − | 0.261954i | ||||
\(962\) | 12.4639 | − | 21.5197i | 0.401851 | − | 0.693822i | ||||
\(963\) | −36.8899 | + | 4.20218i | −1.18876 | + | 0.135413i | ||||
\(964\) | 25.0754 | + | 43.7090i | 0.807625 | + | 1.40777i | ||||
\(965\) | −8.78856 | − | 5.07408i | −0.282914 | − | 0.163340i | ||||
\(966\) | 12.1683 | + | 2.54861i | 0.391508 | + | 0.0820003i | ||||
\(967\) | −12.3209 | − | 21.3405i | −0.396214 | − | 0.686263i | 0.597041 | − | 0.802211i | \(-0.296343\pi\) |
−0.993255 | + | 0.115948i | \(0.963010\pi\) | |||||||
\(968\) | 18.5019 | + | 32.3535i | 0.594673 | + | 1.03988i | ||||
\(969\) | 17.0092 | + | 15.1817i | 0.546415 | + | 0.487706i | ||||
\(970\) | −10.0452 | + | 5.78119i | −0.322531 | + | 0.185623i | ||||
\(971\) | 43.8577i | 1.40746i | 0.710467 | + | 0.703730i | \(0.248484\pi\) | ||||
−0.710467 | + | 0.703730i | \(0.751516\pi\) | |||||||
\(972\) | −16.0988 | − | 26.6988i | −0.516370 | − | 0.856366i | ||||
\(973\) | − | 11.6624i | − | 0.373879i | ||||||
\(974\) | 4.54688 | + | 7.90048i | 0.145691 | + | 0.253148i | ||||
\(975\) | −3.54240 | − | 3.16179i | −0.113447 | − | 0.101258i | ||||
\(976\) | −0.171290 | + | 31.1557i | −0.00548285 | + | 0.997268i | ||||
\(977\) | 15.8194 | + | 27.3999i | 0.506106 | + | 0.876602i | 0.999975 | + | 0.00706520i | \(0.00224894\pi\) |
−0.493869 | + | 0.869536i | \(0.664418\pi\) | |||||||
\(978\) | −2.36035 | + | 11.2694i | −0.0754755 | + | 0.360356i | ||||
\(979\) | −44.9414 | − | 25.9469i | −1.43633 | − | 0.829267i | ||||
\(980\) | 7.61466 | − | 4.36846i | 0.243241 | − | 0.139545i | ||||
\(981\) | −43.6178 | + | 4.96856i | −1.39261 | + | 0.158634i | ||||
\(982\) | −12.1075 | − | 7.01249i | −0.386367 | − | 0.223778i | ||||
\(983\) | 3.01501 | − | 5.22215i | 0.0961638 | − | 0.166561i | −0.813930 | − | 0.580963i | \(-0.802676\pi\) |
0.910094 | + | 0.414402i | \(0.136009\pi\) | |||||||
\(984\) | −42.7635 | − | 9.07948i | −1.36325 | − | 0.289443i | ||||
\(985\) | −8.47726 | − | 14.6830i | −0.270108 | − | 0.467841i | ||||
\(986\) | −0.0384329 | + | 27.9623i | −0.00122395 | + | 0.890500i | ||||
\(987\) | −8.96704 | − | 1.86526i | −0.285424 | − | 0.0593719i | ||||
\(988\) | 28.1104 | + | 0.0772731i | 0.894311 | + | 0.00245838i | ||||
\(989\) | − | 24.1657i | − | 0.768425i | ||||||
\(990\) | −16.7867 | + | 12.3852i | −0.533516 | + | 0.393628i | ||||
\(991\) | −43.1103 | −1.36944 | −0.684722 | − | 0.728805i | \(-0.740076\pi\) | ||||
−0.684722 | + | 0.728805i | \(0.740076\pi\) | |||||||
\(992\) | −26.3042 | − | 0.180772i | −0.835158 | − | 0.00573952i | ||||
\(993\) | −6.07486 | + | 2.00311i | −0.192780 | + | 0.0635667i | ||||
\(994\) | 8.50181 | + | 0.0116853i | 0.269661 | + | 0.000370637i | ||||
\(995\) | 17.9311 | − | 10.3525i | 0.568455 | − | 0.328198i | ||||
\(996\) | −9.92973 | + | 47.0866i | −0.314636 | + | 1.49200i | ||||
\(997\) | −8.33653 | − | 4.81310i | −0.264020 | − | 0.152432i | 0.362147 | − | 0.932121i | \(-0.382044\pi\) |
−0.626167 | + | 0.779689i | \(0.715377\pi\) | |||||||
\(998\) | −8.90115 | − | 5.15540i | −0.281761 | − | 0.163191i | ||||
\(999\) | 19.2378 | − | 27.2188i | 0.608657 | − | 0.861164i |
(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 | 360.2.bf.b.61.16 | ✓ | 92 | |
3.2 | odd | 2 | 1080.2.bf.b.181.31 | 92 | |||
4.3 | odd | 2 | 1440.2.bv.b.241.14 | 92 | |||
8.3 | odd | 2 | 1440.2.bv.b.241.33 | 92 | |||
8.5 | even | 2 | inner | 360.2.bf.b.61.46 | yes | 92 | |
9.4 | even | 3 | inner | 360.2.bf.b.301.46 | yes | 92 | |
9.5 | odd | 6 | 1080.2.bf.b.901.1 | 92 | |||
12.11 | even | 2 | 4320.2.bv.b.721.29 | 92 | |||
24.5 | odd | 2 | 1080.2.bf.b.181.1 | 92 | |||
24.11 | even | 2 | 4320.2.bv.b.721.20 | 92 | |||
36.23 | even | 6 | 4320.2.bv.b.3601.20 | 92 | |||
36.31 | odd | 6 | 1440.2.bv.b.1201.33 | 92 | |||
72.5 | odd | 6 | 1080.2.bf.b.901.31 | 92 | |||
72.13 | even | 6 | inner | 360.2.bf.b.301.16 | yes | 92 | |
72.59 | even | 6 | 4320.2.bv.b.3601.29 | 92 | |||
72.67 | odd | 6 | 1440.2.bv.b.1201.14 | 92 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bf.b.61.16 | ✓ | 92 | 1.1 | even | 1 | trivial | |
360.2.bf.b.61.46 | yes | 92 | 8.5 | even | 2 | inner | |
360.2.bf.b.301.16 | yes | 92 | 72.13 | even | 6 | inner | |
360.2.bf.b.301.46 | yes | 92 | 9.4 | even | 3 | inner | |
1080.2.bf.b.181.1 | 92 | 24.5 | odd | 2 | |||
1080.2.bf.b.181.31 | 92 | 3.2 | odd | 2 | |||
1080.2.bf.b.901.1 | 92 | 9.5 | odd | 6 | |||
1080.2.bf.b.901.31 | 92 | 72.5 | odd | 6 | |||
1440.2.bv.b.241.14 | 92 | 4.3 | odd | 2 | |||
1440.2.bv.b.241.33 | 92 | 8.3 | odd | 2 | |||
1440.2.bv.b.1201.14 | 92 | 72.67 | odd | 6 | |||
1440.2.bv.b.1201.33 | 92 | 36.31 | odd | 6 | |||
4320.2.bv.b.721.20 | 92 | 24.11 | even | 2 | |||
4320.2.bv.b.721.29 | 92 | 12.11 | even | 2 | |||
4320.2.bv.b.3601.20 | 92 | 36.23 | even | 6 | |||
4320.2.bv.b.3601.29 | 92 | 72.59 | even | 6 |