Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [184,2,Mod(9,184)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(184, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("184.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 184 = 2^{3} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 184.i (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.46924739719\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Character | \(\chi\) | \(=\) | 184.49 |
Dual form | 184.2.i.b.169.3 |
$q$-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 \(\left(\mathbb{Z}/184\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(93\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{11}\right)\) |
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 | 0 | ||||||||
\(3\) | 1.05870 | − | 2.31822i | 0.611239 | − | 1.33843i | −0.310484 | − | 0.950578i | \(-0.600491\pi\) |
0.921723 | − | 0.387848i | \(-0.126781\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.536040 | + | 0.618623i | −0.239724 | + | 0.276657i | −0.862845 | − | 0.505469i | \(-0.831319\pi\) |
0.623120 | + | 0.782126i | \(0.285865\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.79431 | − | 1.15313i | 0.678186 | − | 0.435843i | −0.155683 | − | 0.987807i | \(-0.549758\pi\) |
0.833868 | + | 0.551964i | \(0.186121\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.28874 | − | 2.64134i | −0.762912 | − | 0.880447i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0754313 | − | 0.524636i | 0.0227434 | − | 0.158184i | −0.975285 | − | 0.220952i | \(-0.929084\pi\) |
0.998028 | + | 0.0627679i | \(0.0199928\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.858898 | + | 0.551980i | 0.238215 | + | 0.153092i | 0.654302 | − | 0.756233i | \(-0.272962\pi\) |
−0.416087 | + | 0.909325i | \(0.636599\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.866603 | + | 1.89760i | 0.223756 | + | 0.489957i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −7.15009 | − | 2.09946i | −1.73415 | − | 0.509193i | −0.746437 | − | 0.665456i | \(-0.768237\pi\) |
−0.987715 | + | 0.156263i | \(0.950055\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.380104 | − | 0.111609i | 0.0872018 | − | 0.0256048i | −0.237841 | − | 0.971304i | \(-0.576440\pi\) |
0.325042 | + | 0.945699i | \(0.394621\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.773589 | − | 5.38043i | −0.168811 | − | 1.17411i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.87002 | + | 4.41622i | 0.389927 | + | 0.920846i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.616218 | + | 4.28589i | 0.123244 | + | 0.857179i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.21041 | + | 0.355409i | −0.232944 | + | 0.0683985i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.89765 | + | 2.31896i | 1.46656 | + | 0.430620i | 0.914978 | − | 0.403503i | \(-0.132208\pi\) |
0.551578 | + | 0.834123i | \(0.314026\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.17083 | + | 6.94314i | 0.569497 | + | 1.24703i | 0.947065 | + | 0.321043i | \(0.104033\pi\) |
−0.377567 | + | 0.925982i | \(0.623239\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.13637 | − | 0.730297i | −0.197816 | − | 0.127128i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.248467 | + | 1.72813i | −0.0419986 | + | 0.292107i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.14354 | − | 1.31971i | −0.187997 | − | 0.216960i | 0.653925 | − | 0.756559i | \(-0.273121\pi\) |
−0.841922 | + | 0.539600i | \(0.818576\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.18892 | − | 1.40674i | 0.350508 | − | 0.225258i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.75435 | + | 6.64088i | −0.898679 | + | 1.03713i | 0.100431 | + | 0.994944i | \(0.467978\pi\) |
−0.999110 | + | 0.0421870i | \(0.986567\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.40901 | − | 9.65438i | 0.672368 | − | 1.47228i | −0.198165 | − | 0.980169i | \(-0.563498\pi\) |
0.870532 | − | 0.492111i | \(-0.163775\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.86085 | 0.426470 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.39680 | −0.641339 | −0.320669 | − | 0.947191i | \(-0.603908\pi\) | ||||
−0.320669 | + | 0.947191i | \(0.603908\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.01807 | + | 2.22927i | −0.145439 | + | 0.318467i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.4368 | + | 14.3528i | −1.74150 | + | 2.00980i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.56587 | + | 2.93430i | −0.627170 | + | 0.403058i | −0.815261 | − | 0.579094i | \(-0.803406\pi\) |
0.188091 | + | 0.982152i | \(0.439770\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.284118 | + | 0.327890i | 0.0383105 | + | 0.0442126i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.143681 | − | 0.999325i | 0.0190310 | − | 0.132364i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.57004 | − | 4.22231i | −0.855347 | − | 0.549698i | 0.0378913 | − | 0.999282i | \(-0.487936\pi\) |
−0.893238 | + | 0.449584i | \(0.851572\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.25065 | + | 7.11792i | 0.416203 | + | 0.911357i | 0.995367 | + | 0.0961460i | \(0.0306516\pi\) |
−0.579165 | + | 0.815211i | \(0.696621\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −7.15252 | − | 2.10017i | −0.901133 | − | 0.264597i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.801871 | + | 0.235451i | −0.0994599 | + | 0.0292041i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.66491 | − | 11.5797i | −0.203401 | − | 1.41469i | −0.794097 | − | 0.607791i | \(-0.792056\pi\) |
0.590696 | − | 0.806894i | \(-0.298853\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.2176 | + | 0.340311i | 1.47082 | + | 0.0409687i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.354163 | − | 2.46326i | −0.0420315 | − | 0.292335i | −0.999985 | − | 0.00541300i | \(-0.998277\pi\) |
0.957954 | − | 0.286922i | \(-0.0926321\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.85019 | − | 1.42414i | 0.567672 | − | 0.166684i | 0.0147126 | − | 0.999892i | \(-0.495317\pi\) |
0.552959 | + | 0.833208i | \(0.313498\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 10.5880 | + | 3.10893i | 1.22260 | + | 0.358988i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.469628 | − | 1.02834i | −0.0535191 | − | 0.117191i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.4756 | − | 9.30292i | −1.62863 | − | 1.04666i | −0.950031 | − | 0.312155i | \(-0.898949\pi\) |
−0.678604 | − | 0.734505i | \(-0.737415\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.03463 | − | 7.19599i | 0.114959 | − | 0.799555i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.31106 | + | 7.28335i | 0.692728 | + | 0.799451i | 0.987751 | − | 0.156039i | \(-0.0498726\pi\) |
−0.295022 | + | 0.955490i | \(0.595327\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.13151 | − | 3.29782i | 0.556590 | − | 0.357699i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 13.7371 | − | 15.8534i | 1.47277 | − | 1.69967i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −0.199914 | + | 0.437751i | −0.0211909 | + | 0.0464015i | −0.919932 | − | 0.392079i | \(-0.871756\pi\) |
0.898741 | + | 0.438481i | \(0.144483\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.17764 | 0.228278 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 19.4527 | 2.01715 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.134707 | + | 0.294968i | −0.0138207 | + | 0.0302631i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.04314 | + | 5.82009i | −0.512053 | + | 0.590940i | −0.951623 | − | 0.307268i | \(-0.900585\pi\) |
0.439570 | + | 0.898208i | \(0.355131\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.55839 | + | 1.00151i | −0.156624 | + | 0.100656i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −11.7333 | − | 13.5410i | −1.16751 | − | 1.34738i | −0.926246 | − | 0.376918i | \(-0.876984\pi\) |
−0.241263 | − | 0.970460i | \(-0.577562\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.327191 | + | 2.27566i | −0.0322391 | + | 0.224228i | −0.999571 | − | 0.0292852i | \(-0.990677\pi\) |
0.967332 | + | 0.253513i | \(0.0815860\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 3.74313 | + | 2.40557i | 0.365293 | + | 0.234759i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.18578 | + | 2.59650i | 0.114634 | + | 0.251013i | 0.958249 | − | 0.285935i | \(-0.0923043\pi\) |
−0.843615 | + | 0.536948i | \(0.819577\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.86607 | + | 1.72243i | 0.561868 | + | 0.164979i | 0.550320 | − | 0.834954i | \(-0.314506\pi\) |
0.0115481 | + | 0.999933i | \(0.496324\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.27005 | + | 1.25380i | −0.405295 | + | 0.119005i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.53224 | − | 10.6570i | −0.144141 | − | 1.00252i | −0.925583 | − | 0.378545i | \(-0.876425\pi\) |
0.781442 | − | 0.623978i | \(-0.214485\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.73439 | − | 1.21043i | −0.348233 | − | 0.112873i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.507822 | − | 3.53198i | −0.0469481 | − | 0.326532i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −15.2504 | + | 4.47793i | −1.39801 | + | 0.410491i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.2849 | + | 3.01991i | 0.934988 | + | 0.274537i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.30292 | + | 20.3706i | 0.838816 | + | 1.83675i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −6.42474 | − | 4.12893i | −0.574646 | − | 0.369303i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.83570 | − | 12.7676i | 0.162892 | − | 1.13294i | −0.730256 | − | 0.683174i | \(-0.760599\pi\) |
0.893147 | − | 0.449764i | \(-0.148492\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −17.7132 | − | 20.4421i | −1.55956 | − | 1.79983i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.45705 | + | 1.57905i | −0.214673 | + | 0.137962i | −0.643559 | − | 0.765397i | \(-0.722543\pi\) |
0.428886 | + | 0.903359i | \(0.358906\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.553325 | − | 0.638571i | 0.0479793 | − | 0.0553711i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.428965 | − | 0.939303i | 0.0369195 | − | 0.0808423i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.20821 | −0.786711 | −0.393355 | − | 0.919386i | \(-0.628686\pi\) | ||||
−0.393355 | + | 0.919386i | \(0.628686\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.47037 | 0.379172 | 0.189586 | − | 0.981864i | \(-0.439285\pi\) | ||||
0.189586 | + | 0.981864i | \(0.439285\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −4.65488 | + | 10.1928i | −0.392011 | + | 0.858385i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.354376 | − | 0.408972i | 0.0296345 | − | 0.0342000i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.66802 | + | 3.64262i | −0.470703 | + | 0.302503i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.09011 | + | 4.72023i | 0.337346 | + | 0.389318i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.04868 | + | 14.2489i | −0.167834 | + | 1.16731i | 0.715515 | + | 0.698597i | \(0.246192\pi\) |
−0.883349 | + | 0.468715i | \(0.844717\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.37013 | + | 1.52319i | 0.192878 | + | 0.123955i | 0.633516 | − | 0.773730i | \(-0.281611\pi\) |
−0.440637 | + | 0.897685i | \(0.645248\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 10.8193 | + | 23.6909i | 0.874688 | + | 1.91530i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.99488 | − | 1.76026i | −0.481520 | − | 0.141387i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.04154 | + | 2.36121i | −0.641785 | + | 0.188445i | −0.586402 | − | 0.810020i | \(-0.699456\pi\) |
−0.0553828 | + | 0.998465i | \(0.517638\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.96850 | + | 13.6912i | 0.156112 | + | 1.08579i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.44789 | + | 5.76769i | 0.665787 | + | 0.454557i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.71432 | − | 11.9233i | −0.134276 | − | 0.933907i | −0.939893 | − | 0.341470i | \(-0.889075\pi\) |
0.805617 | − | 0.592437i | \(-0.201834\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.06092 | − | 0.311513i | 0.0825922 | − | 0.0242513i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.790579 | − | 0.232135i | −0.0611769 | − | 0.0179631i | 0.251001 | − | 0.967987i | \(-0.419240\pi\) |
−0.312178 | + | 0.950024i | \(0.601058\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.96737 | − | 10.8770i | −0.382106 | − | 0.836694i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.16475 | − | 0.748542i | −0.0890709 | − | 0.0572424i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.18441 | − | 8.23778i | 0.0900493 | − | 0.626307i | −0.893954 | − | 0.448158i | \(-0.852080\pi\) |
0.984004 | − | 0.178148i | \(-0.0570107\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.04789 | + | 6.97964i | 0.457178 | + | 0.527611i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −16.7439 | + | 10.7607i | −1.25855 | + | 0.808822i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.96694 | − | 5.73215i | 0.371246 | − | 0.428441i | −0.539130 | − | 0.842223i | \(-0.681247\pi\) |
0.910376 | + | 0.413782i | \(0.135792\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.116430 | + | 0.254947i | −0.00865420 | + | 0.0189501i | −0.913910 | − | 0.405917i | \(-0.866952\pi\) |
0.905256 | + | 0.424868i | \(0.139679\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 19.9424 | 1.47418 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.42939 | 0.105091 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.64079 | + | 3.59283i | −0.119987 | + | 0.262734i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.76202 | + | 2.03348i | −0.128168 | + | 0.147914i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.59473 | + | 1.66753i | −0.187748 | + | 0.120658i | −0.631138 | − | 0.775670i | \(-0.717412\pi\) |
0.443390 | + | 0.896329i | \(0.353776\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.8573 | + | 17.1462i | 1.06945 | + | 1.23421i | 0.971003 | + | 0.239067i | \(0.0768415\pi\) |
0.0984452 | + | 0.995142i | \(0.468613\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.303112 | + | 2.10819i | −0.0217063 | + | 0.150970i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.4931 | + | 8.67150i | 0.961345 | + | 0.617819i | 0.924370 | − | 0.381497i | \(-0.124592\pi\) |
0.0369748 | + | 0.999316i | \(0.488228\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.98628 | + | 8.72873i | 0.282580 | + | 0.618763i | 0.996692 | − | 0.0812676i | \(-0.0258968\pi\) |
−0.714113 | + | 0.700031i | \(0.753170\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −28.6070 | − | 8.39976i | −2.01778 | − | 0.592474i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 16.8449 | − | 4.94611i | 1.18228 | − | 0.347149i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.02364 | − | 7.11956i | −0.0714940 | − | 0.497251i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.38476 | − | 15.0469i | 0.513277 | − | 1.04583i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −0.0298822 | − | 0.207835i | −0.00206699 | − | 0.0143762i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −22.3528 | + | 6.56338i | −1.53883 | + | 0.451842i | −0.937740 | − | 0.347338i | \(-0.887086\pi\) |
−0.601092 | + | 0.799180i | \(0.705267\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −6.08534 | − | 1.78682i | −0.416960 | − | 0.122431i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.60902 | + | 7.90265i | 0.246133 | + | 0.538957i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.6958 | + | 8.80177i | 0.929732 | + | 0.597503i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.83340 | − | 12.7516i | 0.123890 | − | 0.861671i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.98234 | − | 5.74993i | −0.335148 | − | 0.386782i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.4357 | + | 8.63459i | −0.899720 | + | 0.578215i | −0.906707 | − | 0.421761i | \(-0.861412\pi\) |
0.00698722 | + | 0.999976i | \(0.497776\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.91015 | − | 11.4369i | 0.660677 | − | 0.762461i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.06207 | + | 2.32562i | −0.0704923 | + | 0.154357i | −0.941598 | − | 0.336739i | \(-0.890676\pi\) |
0.871106 | + | 0.491095i | \(0.163403\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.7176 | −1.23690 | −0.618448 | − | 0.785826i | \(-0.712238\pi\) | ||||
−0.618448 | + | 0.785826i | \(0.712238\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.88112 | −0.189564 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 5.45297 | − | 11.9403i | 0.357236 | − | 0.782238i | −0.642635 | − | 0.766173i | \(-0.722159\pi\) |
0.999871 | − | 0.0160655i | \(-0.00511403\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.35686 | − | 2.71996i | 0.153745 | − | 0.177431i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −36.8915 | + | 23.7087i | −2.39636 | + | 1.54005i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 18.3529 | + | 21.1803i | 1.18715 | + | 1.37004i | 0.912798 | + | 0.408411i | \(0.133917\pi\) |
0.274350 | + | 0.961630i | \(0.411537\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.24306 | − | 15.6008i | 0.144488 | − | 1.00494i | −0.780558 | − | 0.625084i | \(-0.785065\pi\) |
0.925046 | − | 0.379855i | \(-0.124026\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −18.7703 | − | 12.0629i | −1.20412 | − | 0.773838i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.833349 | − | 1.82478i | −0.0532407 | − | 0.116581i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.388076 | + | 0.113949i | 0.0246927 | + | 0.00725042i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 23.5659 | − | 6.91958i | 1.49343 | − | 0.438510i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.21898 | − | 15.4333i | −0.140061 | − | 0.974144i | −0.931719 | − | 0.363180i | \(-0.881691\pi\) |
0.791658 | − | 0.610964i | \(-0.209218\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.45797 | − | 0.647960i | 0.154531 | − | 0.0407369i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.21237 | − | 15.3874i | −0.138544 | − | 0.963595i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.64333 | + | 1.06978i | −0.227265 | + | 0.0667310i | −0.393382 | − | 0.919375i | \(-0.628695\pi\) |
0.166117 | + | 0.986106i | \(0.446877\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.57367 | − | 1.04932i | −0.222057 | − | 0.0652018i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −11.9505 | − | 26.1679i | −0.739716 | − | 1.61975i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.7634 | + | 8.20252i | 0.787023 | + | 0.505789i | 0.871358 | − | 0.490648i | \(-0.163240\pi\) |
−0.0843342 | + | 0.996438i | \(0.526876\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.632259 | − | 4.39746i | 0.0388394 | − | 0.270134i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.803156 | + | 0.926891i | 0.0491523 | + | 0.0567248i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.285644 | + | 0.183572i | −0.0174160 | + | 0.0111926i | −0.549320 | − | 0.835612i | \(-0.685113\pi\) |
0.531904 | + | 0.846805i | \(0.321477\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.64309 | + | 9.97466i | −0.525030 | + | 0.605917i | −0.954883 | − | 0.296982i | \(-0.904020\pi\) |
0.429853 | + | 0.902899i | \(0.358565\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.30546 | − | 5.04824i | 0.139533 | − | 0.305534i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.29502 | 0.138395 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.4417 | −0.687466 | −0.343733 | − | 0.939067i | \(-0.611691\pi\) | ||||
−0.343733 | + | 0.939067i | \(0.611691\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 11.0820 | − | 24.2663i | 0.663464 | − | 1.45278i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.4303 | − | 22.4238i | 1.15911 | − | 1.33769i | 0.227698 | − | 0.973732i | \(-0.426880\pi\) |
0.931416 | − | 0.363957i | \(-0.118575\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.8660 | − | 12.1244i | 1.12147 | − | 0.720723i | 0.157705 | − | 0.987486i | \(-0.449590\pi\) |
0.963762 | + | 0.266763i | \(0.0859541\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.541187 | + | 0.624563i | 0.0320571 | + | 0.0369959i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −2.66728 | + | 18.5513i | −0.157445 | + | 1.09505i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 32.4148 | + | 20.8317i | 1.90675 | + | 1.22540i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.15311 | + | 17.8528i | 0.477944 | + | 1.04655i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 27.8380 | + | 8.17398i | 1.62631 | + | 0.477529i | 0.962706 | − | 0.270551i | \(-0.0872059\pi\) |
0.663609 | + | 0.748080i | \(0.269024\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.13383 | − | 1.80105i | 0.357125 | − | 0.104861i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0.0951576 | + | 0.661835i | 0.00552160 | + | 0.0384036i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.831508 | + | 4.82530i | −0.0480874 | + | 0.279054i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.22166 | − | 22.4071i | −0.185693 | − | 1.29153i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −43.8131 | + | 12.8647i | −2.51699 | + | 0.739056i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.14579 | − | 1.80457i | −0.351907 | − | 0.103329i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.237871 | + | 0.520866i | 0.0135760 | + | 0.0297274i | 0.916299 | − | 0.400496i | \(-0.131162\pi\) |
−0.902723 | + | 0.430223i | \(0.858435\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.92910 | + | 3.16774i | 0.280406 | + | 0.180206i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.07482 | − | 21.3858i | 0.174357 | − | 1.21268i | −0.695189 | − | 0.718827i | \(-0.744679\pi\) |
0.869546 | − | 0.493852i | \(-0.164412\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.25576 | − | 3.75735i | −0.184026 | − | 0.212378i | 0.656239 | − | 0.754553i | \(-0.272146\pi\) |
−0.840265 | + | 0.542175i | \(0.817601\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.13325 | − | 3.29894i | 0.289226 | − | 0.185874i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.8331 | − | 21.7346i | 1.05778 | − | 1.22074i | 0.0832336 | − | 0.996530i | \(-0.473475\pi\) |
0.974541 | − | 0.224207i | \(-0.0719793\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.81234 | − | 3.96847i | 0.101472 | − | 0.222192i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 7.27464 | 0.406031 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.95209 | −0.164259 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.83646 | + | 4.02128i | −0.101868 | + | 0.223061i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 10.2034 | − | 11.7753i | 0.564248 | − | 0.651177i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −7.88922 | + | 5.07009i | −0.434947 | + | 0.279523i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.0722 | − | 11.6239i | −0.553618 | − | 0.638909i | 0.408104 | − | 0.912935i | \(-0.366190\pi\) |
−0.961722 | + | 0.274026i | \(0.911644\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.868558 | + | 6.04095i | −0.0475967 | + | 0.331042i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.05593 | + | 5.17723i | 0.440143 | + | 0.282863i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.05243 | + | 17.6324i | 0.438644 | + | 0.960496i | 0.991845 | + | 0.127449i | \(0.0406788\pi\) |
−0.553201 | + | 0.833048i | \(0.686594\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −26.3274 | − | 7.73042i | −1.42991 | − | 0.419859i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.88180 | − | 1.13980i | 0.210211 | − | 0.0617237i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.86871 | + | 19.9523i | 0.154896 | + | 1.07732i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −6.75964 | + | 7.37566i | −0.363927 | + | 0.397092i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.44238 | − | 10.0320i | −0.0774310 | − | 0.538545i | −0.991206 | − | 0.132325i | \(-0.957756\pi\) |
0.913775 | − | 0.406220i | \(-0.133153\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.9620 | + | 4.68688i | −0.854429 | + | 0.250883i | −0.679479 | − | 0.733695i | \(-0.737794\pi\) |
−0.174949 | + | 0.984577i | \(0.555976\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.23580 | − | 0.362863i | −0.0659621 | − | 0.0193682i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 8.24279 | + | 18.0492i | 0.438719 | + | 0.960661i | 0.991832 | + | 0.127555i | \(0.0407128\pi\) |
−0.553112 | + | 0.833107i | \(0.686560\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.71368 | + | 1.10131i | 0.0909525 | + | 0.0584516i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.76475 | + | 40.0947i | −0.305103 | + | 2.12204i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.84081 | − | 6.74065i | −0.308266 | − | 0.355758i | 0.580385 | − | 0.814342i | \(-0.302902\pi\) |
−0.888651 | + | 0.458584i | \(0.848357\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.8518 | + | 10.1873i | −0.834305 | + | 0.536175i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 17.8894 | − | 20.6455i | 0.938949 | − | 1.08361i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.71889 | + | 3.76384i | −0.0899707 | + | 0.197008i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.8280 | −1.71361 | −0.856804 | − | 0.515642i | \(-0.827554\pi\) | ||||
−0.856804 | + | 0.515642i | \(0.827554\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 30.7110 | 1.59875 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.80894 | + | 10.5301i | −0.249668 | + | 0.546696i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.89038 | − | 6.79786i | 0.304992 | − | 0.351980i | −0.582477 | − | 0.812847i | \(-0.697916\pi\) |
0.887469 | + | 0.460868i | \(0.152462\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.3736 | + | 10.5227i | −0.845530 | + | 0.543389i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.50325 | + | 6.35109i | 0.283432 | + | 0.327098i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.40434 | + | 30.6329i | −0.226236 | + | 1.57351i | 0.487521 | + | 0.873111i | \(0.337901\pi\) |
−0.713757 | + | 0.700394i | \(0.753008\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −27.6546 | − | 17.7725i | −1.41679 | − | 0.910515i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.0291 | − | 21.9607i | −0.512464 | − | 1.12214i | −0.972214 | − | 0.234092i | \(-0.924788\pi\) |
0.459750 | − | 0.888048i | \(-0.347939\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.887897 | + | 0.260710i | 0.0452514 | + | 0.0132870i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −35.5916 | + | 10.4506i | −1.80922 | + | 0.531236i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.71423 | + | 25.8330i | 0.188319 | + | 1.30979i | 0.836359 | + | 0.548181i | \(0.184680\pi\) |
−0.648041 | + | 0.761606i | \(0.724411\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.09917 | − | 35.5024i | −0.207304 | − | 1.79544i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.05932 | + | 7.36771i | 0.0534355 | + | 0.371652i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.5145 | − | 3.96822i | 0.679989 | − | 0.199663i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 16.9673 | + | 4.98206i | 0.851567 | + | 0.250043i | 0.678257 | − | 0.734825i | \(-0.262736\pi\) |
0.173310 | + | 0.984867i | \(0.444554\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.894546 | − | 1.95878i | −0.0447833 | − | 0.0980618i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.13396 | − | 1.37141i | −0.106565 | − | 0.0684851i | 0.486273 | − | 0.873807i | \(-0.338356\pi\) |
−0.592838 | + | 0.805322i | \(0.701992\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.10906 | + | 7.71368i | −0.0552462 | + | 0.384246i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.89701 | + | 4.49738i | 0.193644 | + | 0.223477i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.778628 | + | 0.500394i | −0.0385952 | + | 0.0248036i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.1870 | + | 24.4511i | −1.04763 | + | 1.20903i | −0.0702529 | + | 0.997529i | \(0.522381\pi\) |
−0.977378 | + | 0.211501i | \(0.932165\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.74871 | + | 21.3467i | −0.480868 | + | 1.05295i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −16.6576 | −0.819666 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.88863 | −0.387238 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.73277 | − | 10.3633i | 0.231765 | − | 0.507494i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −6.23976 | + | 7.20107i | −0.304832 | + | 0.351795i | −0.887411 | − | 0.460979i | \(-0.847498\pi\) |
0.582579 | + | 0.812774i | \(0.302044\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.7221 | + | 11.3893i | −0.863725 | + | 0.555082i | −0.895827 | − | 0.444402i | \(-0.853416\pi\) |
0.0321026 | + | 0.999485i | \(0.489780\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 10.0631 | + | 11.6134i | 0.489285 | + | 0.564665i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.59203 | − | 31.9383i | 0.222746 | − | 1.54923i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.0406 | + | 9.02333i | 0.679471 | + | 0.436670i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.572912 | − | 1.25450i | −0.0276604 | − | 0.0605679i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.4879 | + | 3.96041i | 0.649689 | + | 0.190766i | 0.589940 | − | 0.807447i | \(-0.299152\pi\) |
0.0597498 | + | 0.998213i | \(0.480970\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.6156 | − | 6.05329i | 0.990723 | − | 0.290902i | 0.254079 | − | 0.967183i | \(-0.418228\pi\) |
0.736644 | + | 0.676281i | \(0.236409\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 2.44368 | + | 16.9962i | 0.117165 | + | 0.814903i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.20369 | + | 1.46991i | 0.0575803 | + | 0.0703154i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.79116 | − | 12.4578i | −0.0854873 | − | 0.594577i | −0.986865 | − | 0.161544i | \(-0.948352\pi\) |
0.901378 | − | 0.433033i | \(-0.142557\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 8.21835 | − | 2.41313i | 0.391350 | − | 0.114911i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.95516 | + | 2.92310i | 0.472984 | + | 0.138881i | 0.509533 | − | 0.860451i | \(-0.329818\pi\) |
−0.0365489 | + | 0.999332i | \(0.511636\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.163641 | − | 0.358324i | −0.00775732 | − | 0.0169862i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 30.8631 | + | 19.8345i | 1.45977 | + | 0.938140i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.35165 | − | 9.40096i | 0.0637885 | − | 0.443659i | −0.932750 | − | 0.360524i | \(-0.882598\pi\) |
0.996538 | − | 0.0831346i | \(-0.0264931\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.04999 | + | 3.51987i | 0.143618 | + | 0.165744i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.04034 | − | 3.88189i | 0.283800 | − | 0.182387i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −1.16730 | + | 1.34714i | −0.0547239 | + | 0.0631547i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.8729 | − | 23.8084i | 0.508614 | − | 1.11371i | −0.464958 | − | 0.885333i | \(-0.653931\pi\) |
0.973573 | − | 0.228378i | \(-0.0733421\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.40073 | 0.438788 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 28.4685 | 1.32591 | 0.662955 | − | 0.748660i | \(-0.269302\pi\) | ||||
0.662955 | + | 0.748660i | \(0.269302\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.88083 | + | 4.11845i | −0.0874097 | + | 0.191401i | −0.948289 | − | 0.317409i | \(-0.897187\pi\) |
0.860879 | + | 0.508810i | \(0.169914\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −10.4274 | + | 12.0339i | −0.483560 | + | 0.558058i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 18.1318 | − | 11.6526i | 0.839040 | − | 0.539218i | −0.0490988 | − | 0.998794i | \(-0.515635\pi\) |
0.888139 | + | 0.459576i | \(0.151999\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −16.3403 | − | 18.8577i | −0.754525 | − | 0.870769i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.03975 | + | 21.1419i | −0.140064 | + | 0.974167i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.73246 | − | 3.04137i | −0.217599 | − | 0.139842i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.712569 | + | 1.56031i | 0.0326949 | + | 0.0715919i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 18.2006 | + | 5.34417i | 0.833347 | + | 0.244693i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.24179 | + | 0.658249i | −0.102430 | + | 0.0300762i | −0.332546 | − | 0.943087i | \(-0.607908\pi\) |
0.230116 | + | 0.973163i | \(0.426089\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.253727 | − | 1.76471i | −0.0115689 | − | 0.0804638i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 22.3145 | − | 13.4779i | 1.01535 | − | 0.613264i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.897119 | − | 6.23960i | −0.0407361 | − | 0.283326i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.4472 | − | 6.88473i | 1.06250 | − | 0.311977i | 0.296640 | − | 0.954989i | \(-0.404134\pi\) |
0.765856 | + | 0.643012i | \(0.222316\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −29.4559 | − | 8.64902i | −1.33204 | − | 0.391122i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.54637 | + | 3.38607i | 0.0697865 | + | 0.152811i | 0.941311 | − | 0.337541i | \(-0.109595\pi\) |
−0.871524 | + | 0.490353i | \(0.836868\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −51.6004 | − | 33.1615i | −2.32396 | − | 1.49352i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.215798 | − | 1.50091i | 0.00969939 | − | 0.0674607i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.47595 | − | 4.01146i | −0.155917 | − | 0.179938i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.3920 | − | 9.89181i | 0.689039 | − | 0.442818i | −0.148705 | − | 0.988882i | \(-0.547511\pi\) |
0.837744 | + | 0.546063i | \(0.183874\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.37512 | + | 1.58698i | −0.0614360 | + | 0.0709010i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −6.75325 | + | 14.7876i | −0.301113 | + | 0.659344i | −0.998345 | − | 0.0575001i | \(-0.981687\pi\) |
0.697233 | + | 0.716845i | \(0.254414\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 14.6663 | 0.652642 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −30.4743 | −1.35341 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −14.1951 | + | 31.0830i | −0.629189 | + | 1.37773i | 0.279455 | + | 0.960159i | \(0.409846\pi\) |
−0.908644 | + | 0.417572i | \(0.862881\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.06052 | − | 8.14827i | 0.312339 | − | 0.360458i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.420416 | + | 0.270185i | −0.0185618 | + | 0.0119290i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.23239 | − | 1.42225i | −0.0543056 | − | 0.0626720i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.331656 | + | 2.30672i | −0.0145862 | + | 0.101449i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −17.8431 | − | 11.4670i | −0.783224 | − | 0.503347i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −10.4059 | − | 22.7858i | −0.455892 | − | 0.998264i | −0.988405 | − | 0.151842i | \(-0.951480\pi\) |
0.532513 | − | 0.846422i | \(-0.321248\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.2399 | + | 7.11747i | 1.05994 | + | 0.311225i | 0.764825 | − | 0.644238i | \(-0.222825\pi\) |
0.295111 | + | 0.955463i | \(0.404643\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 22.5832 | − | 6.63104i | 0.985614 | − | 0.289402i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −8.09488 | − | 56.3011i | −0.352619 | − | 2.45252i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −16.0060 | + | 16.5169i | −0.695914 | + | 0.718125i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.88453 | + | 27.0175i | 0.168574 | + | 1.17246i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −8.60803 | + | 2.52755i | −0.372855 | + | 0.109480i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.24188 | − | 0.658275i | −0.0969249 | − | 0.0284597i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −8.02992 | − | 17.5831i | −0.346517 | − | 0.758766i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.09276 | + | 0.702274i | 0.0470685 | + | 0.0302491i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.14993 | − | 21.9082i | 0.135426 | − | 0.941908i | −0.802890 | − | 0.596128i | \(-0.796705\pi\) |
0.938315 | − | 0.345780i | \(-0.112386\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.467759 | + | 0.539823i | 0.0200735 | + | 0.0231660i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −4.20999 | + | 2.70560i | −0.180336 | + | 0.115895i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.4660 | + | 16.6946i | −0.618520 | + | 0.713810i | −0.975425 | − | 0.220331i | \(-0.929286\pi\) |
0.356906 | + | 0.934140i | \(0.383832\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.3610 | − | 24.8771i | 0.484876 | − | 1.06173i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.26074 | 0.138912 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −36.7013 | −1.56070 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.51329 | − | 3.31364i | 0.0642355 | − | 0.140656i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.40104 | + | 6.23313i | −0.228849 | + | 0.264106i | −0.858548 | − | 0.512733i | \(-0.828633\pi\) |
0.629699 | + | 0.776840i | \(0.283178\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.11591 | − | 5.85844i | 0.385562 | − | 0.247786i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.59189 | + | 7.60744i | 0.278310 | + | 0.321187i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.86724 | − | 19.9421i | 0.120840 | − | 0.840458i | −0.835769 | − | 0.549081i | \(-0.814978\pi\) |
0.956608 | − | 0.291376i | \(-0.0941132\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.41399 | + | 4.76468i | 0.311909 | + | 0.200452i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −6.44149 | − | 14.1049i | −0.270517 | − | 0.592350i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.94125 | + | 1.45088i | 0.207148 | + | 0.0608241i | 0.383660 | − | 0.923474i | \(-0.374663\pi\) |
−0.176512 | + | 0.984298i | \(0.556482\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −37.2133 | + | 10.9268i | −1.55733 | + | 0.457272i | −0.943280 | − | 0.331998i | \(-0.892277\pi\) |
−0.614046 | + | 0.789270i | \(0.710459\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.11868 | + | 7.78058i | 0.0467335 | + | 0.325038i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.7751 | + | 10.7361i | −0.741273 | + | 0.447725i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.63894 | + | 39.2197i | 0.234752 | + | 1.63274i | 0.677099 | + | 0.735892i | \(0.263237\pi\) |
−0.442347 | + | 0.896844i | \(0.645854\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 55.4780 | − | 16.2898i | 2.30559 | − | 0.676981i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 19.7227 | + | 5.79110i | 0.818234 | + | 0.240255i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.19503 | + | 2.61676i | 0.0494932 | + | 0.108375i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2.45718 | + | 1.57913i | 0.101592 | + | 0.0652891i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 4.32295 | − | 30.0668i | 0.178427 | − | 1.24099i | −0.681976 | − | 0.731374i | \(-0.738879\pi\) |
0.860403 | − | 0.509614i | \(-0.170212\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.98016 | + | 2.28522i | 0.0815910 | + | 0.0941610i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 34.3876 | − | 22.0996i | 1.41452 | − | 0.909054i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 3.46206 | − | 3.99542i | 0.142170 | − | 0.164072i | −0.680199 | − | 0.733027i | \(-0.738107\pi\) |
0.822369 | + | 0.568955i | \(0.192652\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.40469 | − | 11.8346i | 0.221571 | − | 0.485173i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 24.4554 | 1.00089 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 23.0512 | 0.941846 | 0.470923 | − | 0.882174i | \(-0.343921\pi\) | ||||
0.470923 | + | 0.882174i | \(0.343921\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 10.2970 | − | 22.5474i | 0.420025 | − | 0.919726i | −0.574817 | − | 0.818282i | \(-0.694927\pi\) |
0.994841 | − | 0.101443i | \(-0.0323461\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −26.7754 | + | 30.9005i | −1.09038 | + | 1.25836i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −7.38129 | + | 4.74367i | −0.300092 | + | 0.192858i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.80519 | − | 4.39142i | −0.154448 | − | 0.178242i | 0.673252 | − | 0.739413i | \(-0.264897\pi\) |
−0.827700 | + | 0.561170i | \(0.810351\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 6.36746 | − | 44.2867i | 0.258023 | − | 1.79459i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.77640 | − | 2.42694i | −0.152777 | − | 0.0981837i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.6203 | − | 27.6347i | −0.509731 | − | 1.11616i | −0.973183 | − | 0.230033i | \(-0.926117\pi\) |
0.463452 | − | 0.886122i | \(-0.346611\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −17.5884 | − | 5.16443i | −0.709234 | − | 0.208250i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.3794 | + | 3.92855i | −0.538636 | + | 0.158158i | −0.539724 | − | 0.841842i | \(-0.681472\pi\) |
0.00108890 | + | 0.999999i | \(0.499653\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.61548 | − | 32.1013i | −0.185512 | − | 1.29026i | −0.843457 | − | 0.537196i | \(-0.819483\pi\) |
0.657946 | − | 0.753065i | \(-0.271426\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.83307 | − | 4.68083i | −0.153816 | − | 0.187835i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0.146077 | + | 1.01599i | 0.00585246 | + | 0.0407047i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.7747 | + | 4.33824i | −0.590988 | + | 0.173530i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.513444 | − | 0.150761i | −0.0205050 | − | 0.00602081i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 5.40572 | + | 11.8369i | 0.215540 | + | 0.471967i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 40.8078 | + | 26.2256i | 1.62453 | + | 1.04402i | 0.952965 | + | 0.303081i | \(0.0980151\pi\) |
0.671568 | + | 0.740943i | \(0.265621\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.44948 | + | 58.7675i | −0.335837 | + | 2.33580i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 6.91431 | + | 7.97953i | 0.274386 | + | 0.316658i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.10493 | + | 1.35276i | −0.0834003 | + | 0.0535981i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.69573 | + | 6.57322i | −0.225319 | + | 0.260032i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −17.1181 | + | 37.4834i | −0.676125 | + | 1.48051i | 0.190573 | + | 0.981673i | \(0.438965\pi\) |
−0.866698 | + | 0.498834i | \(0.833762\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 23.8211 | 0.939413 | 0.469706 | − | 0.882823i | \(-0.344360\pi\) | ||||
0.469706 | + | 0.882823i | \(0.344360\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 22.1410 | 0.871800 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.28784 | + | 9.38906i | −0.168572 | + | 0.369122i | −0.974998 | − | 0.222214i | \(-0.928672\pi\) |
0.806426 | + | 0.591335i | \(0.201399\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −2.71076 | + | 3.12839i | −0.106407 | + | 0.122800i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 34.9042 | − | 22.4315i | 1.36800 | − | 0.879162i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −3.64745 | − | 4.20939i | −0.142736 | − | 0.164726i | 0.679880 | − | 0.733323i | \(-0.262032\pi\) |
−0.822616 | + | 0.568597i | \(0.807486\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.340240 | − | 2.36642i | 0.0132943 | − | 0.0924636i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −14.8625 | − | 9.55152i | −0.579840 | − | 0.372640i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0.0857979 | + | 0.187871i | 0.00334221 | + | 0.00731842i | 0.911296 | − | 0.411752i | \(-0.135083\pi\) |
−0.907954 | + | 0.419071i | \(0.862356\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.4959 | + | 4.25637i | 0.563824 | + | 0.165554i | 0.551210 | − | 0.834367i | \(-0.314166\pi\) |
0.0126145 | + | 0.999920i | \(0.495985\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −18.6044 | + | 5.46274i | −0.722535 | + | 0.212155i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.0984305 | + | 0.684599i | 0.00381697 | + | 0.0265476i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.52775 | + | 39.2143i | 0.175315 | + | 1.51838i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 5.79259 | + | 40.2883i | 0.223954 | + | 1.55764i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.97952 | − | 1.16849i | 0.153628 | − | 0.0451092i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.43267 | − | 0.714296i | −0.0937725 | − | 0.0275341i | 0.234510 | − | 0.972114i | \(-0.424652\pi\) |
−0.328282 | + | 0.944580i | \(0.606470\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.26912 | − | 4.96869i | −0.0873386 | − | 0.191245i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −31.0789 | − | 19.9732i | −1.19446 | − | 0.767632i | −0.216469 | − | 0.976289i | \(-0.569454\pi\) |
−0.977989 | + | 0.208658i | \(0.933090\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.33761 | + | 16.2585i | −0.0897093 | + | 0.623942i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 4.26688 | + | 4.92425i | 0.163507 | + | 0.188698i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 6.17443 | − | 3.96807i | 0.236258 | − | 0.151834i | −0.417155 | − | 0.908835i | \(-0.636973\pi\) |
0.653413 | + | 0.757001i | \(0.273336\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.93597 | − | 5.69642i | 0.188594 | − | 0.217649i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −19.8163 | + | 43.3916i | −0.756039 | + | 1.65549i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.54129 | −0.211106 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −20.8536 | −0.793307 | −0.396654 | − | 0.917968i | \(-0.629829\pi\) | ||||
−0.396654 | + | 0.917968i | \(0.629829\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.64135 | + | 3.59405i | −0.0623497 | + | 0.136527i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −2.39630 | + | 2.76548i | −0.0908968 | + | 0.104901i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 55.0864 | − | 35.4019i | 2.08655 | − | 1.34094i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −21.9073 | − | 25.2824i | −0.828612 | − | 0.956269i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.110450 | − | 0.768198i | 0.00417165 | − | 0.0290144i | −0.987629 | − | 0.156807i | \(-0.949880\pi\) |
0.991801 | + | 0.127792i | \(0.0407891\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.581955 | − | 0.373999i | −0.0219488 | − | 0.0141057i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.81028 | − | 8.34334i | −0.143503 | − | 0.314229i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −36.6678 | − | 10.7666i | −1.37903 | − | 0.404921i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.67305 | + | 1.66576i | −0.213056 | + | 0.0625588i | −0.386519 | − | 0.922282i | \(-0.626323\pi\) |
0.173463 | + | 0.984840i | \(0.444504\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 8.55869 | + | 59.5270i | 0.320976 | + | 2.23244i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −24.7329 | + | 26.9869i | −0.926256 | + | 1.01067i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0630398 | + | 0.438451i | 0.00235755 | + | 0.0163971i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 68.5308 | − | 20.1225i | 2.55933 | − | 0.751487i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −25.2640 | − | 7.41818i | −0.942188 | − | 0.276651i | −0.225657 | − | 0.974207i | \(-0.572453\pi\) |
−0.716531 | + | 0.697555i | \(0.754271\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.03706 | + | 4.46054i | 0.0758641 | + | 0.166119i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −33.7915 | − | 21.7165i | −1.25672 | − | 0.807645i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.07213 | + | 35.2775i | −0.188374 | + | 1.31017i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.73542 | − | 6.61902i | −0.212715 | − | 0.245486i | 0.639358 | − | 0.768909i | \(-0.279200\pi\) |
−0.852073 | + | 0.523423i | \(0.824655\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −29.4890 | + | 18.9514i | −1.09218 | + | 0.701904i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −51.7938 | + | 59.7732i | −1.91566 | + | 2.21079i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.2616 | − | 39.9873i | 0.674507 | − | 1.47696i | −0.193854 | − | 0.981030i | \(-0.562099\pi\) |
0.868361 | − | 0.495933i | \(-0.165174\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.11251 | −0.188578 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.20072 | −0.228406 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.27788 | − | 7.17755i | 0.120579 | − | 0.264030i | −0.839712 | − | 0.543032i | \(-0.817276\pi\) |
0.960291 | + | 0.279002i | \(0.0900035\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.675015 | − | 0.779009i | 0.0247973 | − | 0.0286176i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 28.2833 | − | 18.1766i | 1.03761 | − | 0.666834i | 0.0932182 | − | 0.995646i | \(-0.470285\pi\) |
0.944395 | + | 0.328812i | \(0.106648\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.71650 | − | 8.90532i | −0.282711 | − | 0.326266i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.79347 | − | 33.3393i | 0.175384 | − | 1.21982i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.12177 | + | 3.29156i | 0.187145 | + | 0.120271i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.9979 | + | 37.2203i | 0.620264 | + | 1.35819i | 0.915327 | + | 0.402710i | \(0.131932\pi\) |
−0.295064 | + | 0.955478i | \(0.595341\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −38.1272 | − | 11.1951i | −1.38943 | − | 0.407974i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −2.21276 | + | 0.649726i | −0.0805307 | + | 0.0236460i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.54990 | + | 17.7349i | 0.0926776 | + | 0.644587i | 0.982220 | + | 0.187734i | \(0.0601143\pi\) |
−0.889542 | + | 0.456853i | \(0.848977\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.10013 | − | 6.38411i | 0.0399321 | − | 0.231729i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.61638 | + | 25.1525i | 0.131094 | + | 0.911777i | 0.944132 | + | 0.329567i | \(0.106903\pi\) |
−0.813038 | + | 0.582210i | \(0.802188\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.5118 | − | 3.67378i | 0.452956 | − | 0.133000i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −20.4553 | − | 6.00623i | −0.739565 | − | 0.217156i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.31236 | − | 7.25306i | −0.119603 | − | 0.261893i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −23.7903 | − | 15.2891i | −0.857902 | − | 0.551340i | 0.0361281 | − | 0.999347i | \(-0.488498\pi\) |
−0.894030 | + | 0.448007i | \(0.852134\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.37720 | + | 9.57863i | −0.0495986 | + | 0.344966i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 26.3311 | + | 30.3877i | 0.947064 | + | 1.09297i | 0.995558 | + | 0.0941465i | \(0.0300122\pi\) |
−0.0484945 | + | 0.998823i | \(0.515442\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −27.8036 | + | 17.8683i | −0.998736 | + | 0.641849i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.21600 | + | 7.17364i | −0.222998 | + | 0.257353i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.44607 | + | 3.16646i | −0.0518109 | + | 0.113450i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.31903 | −0.0471986 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −10.3836 | −0.371079 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.84989 | − | 6.24039i | 0.101717 | − | 0.222729i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −25.9450 | + | 29.9422i | −0.924840 | + | 1.06732i | 0.0727088 | + | 0.997353i | \(0.476836\pi\) |
−0.997549 | + | 0.0699694i | \(0.977710\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 32.5278 | − | 20.9044i | 1.15802 | − | 0.744215i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −15.0382 | − | 17.3550i | −0.534697 | − | 0.617074i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.13698 | + | 7.90786i | −0.0403753 | + | 0.280816i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −9.52492 | − | 6.12129i | −0.337814 | − | 0.217100i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −2.53391 | − | 5.54849i | −0.0897558 | − | 0.196538i | 0.859430 | − | 0.511253i | \(-0.170818\pi\) |
−0.949186 | + | 0.314715i | \(0.898091\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 31.4375 | + | 9.23089i | 1.11218 | + | 0.326565i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.61380 | − | 0.473855i | 0.0570208 | − | 0.0167428i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.381302 | − | 2.65201i | −0.0134558 | − | 0.0935875i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.09644 | + | 2.13435i | −0.285362 | + | 0.0752260i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.123151 | + | 0.856534i | 0.00433512 | + | 0.0301514i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 22.3102 | − | 6.55085i | 0.784384 | − | 0.230316i | 0.135069 | − | 0.990836i | \(-0.456874\pi\) |
0.649314 | + | 0.760520i | \(0.275056\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 49.4192 | + | 14.5108i | 1.73534 | + | 0.509542i | 0.987941 | − | 0.154831i | \(-0.0494833\pi\) |
0.747401 | + | 0.664373i | \(0.231301\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 13.9731 | + | 30.5967i | 0.490057 | + | 1.07307i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 8.29499 | + | 5.33087i | 0.290561 | + | 0.186732i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.598369 | − | 4.16175i | 0.0209343 | − | 0.145601i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −4.98403 | − | 5.75188i | −0.174156 | − | 0.200987i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 36.9545 | − | 23.7492i | 1.28972 | − | 0.828853i | 0.297666 | − | 0.954670i | \(-0.403792\pi\) |
0.992053 | + | 0.125817i | \(0.0401554\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.89053 | − | 9.10616i | 0.275047 | − | 0.317421i | −0.601373 | − | 0.798968i | \(-0.705380\pi\) |
0.876420 | + | 0.481547i | \(0.159925\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 2.42973 | − | 5.32036i | 0.0845923 | − | 0.185231i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −30.8000 | −1.07102 | −0.535510 | − | 0.844529i | \(-0.679881\pi\) | ||||
−0.535510 | + | 0.844529i | \(0.679881\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.3389 | −0.984252 | −0.492126 | − | 0.870524i | \(-0.663780\pi\) | ||||
−0.492126 | + | 0.870524i | \(0.663780\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.1133 | + | 26.5244i | −0.420206 | + | 0.920123i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 11.9596 | − | 13.8021i | 0.414374 | − | 0.478213i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.567386 | − | 0.364637i | 0.0196352 | − | 0.0126188i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.30567 | − | 7.27713i | −0.217956 | − | 0.251534i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −0.633840 | + | 4.40845i | −0.0218826 | + | 0.152197i | −0.997833 | − | 0.0657953i | \(-0.979042\pi\) |
0.975951 | + | 0.217992i | \(0.0699507\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.5989 | + | 20.9501i | 1.12410 | + | 0.722416i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −31.4125 | − | 68.7837i | −1.08190 | − | 2.36904i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.39149 | + | 2.75759i | 0.323077 | + | 0.0948640i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 21.9366 | − | 6.44117i | 0.753751 | − | 0.221321i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −8.13378 | − | 56.5717i | −0.279151 | − | 1.94154i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.68971 | − | 7.51801i | 0.126481 | − | 0.257714i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.683372 | + | 4.75296i | 0.0233982 | + | 0.162738i | 0.998170 | − | 0.0604641i | \(-0.0192581\pi\) |
−0.974772 | + | 0.223202i | \(0.928349\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1.08742 | − | 0.319295i | 0.0371890 | − | 0.0109197i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −7.84256 | − | 2.30278i | −0.267897 | − | 0.0786616i | 0.145025 | − | 0.989428i | \(-0.453674\pi\) |
−0.412922 | + | 0.910766i | \(0.635492\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.79138 | − | 3.92257i | −0.0611211 | − | 0.133836i | 0.876607 | − | 0.481208i | \(-0.159802\pi\) |
−0.937728 | + | 0.347371i | \(0.887074\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 40.1823 | + | 25.8236i | 1.36941 | + | 0.880066i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.08989 | − | 7.58037i | 0.0371004 | − | 0.258039i | −0.962827 | − | 0.270120i | \(-0.912937\pi\) |
0.999927 | + | 0.0120814i | \(0.00384571\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.46119 | + | 5.14849i | 0.151685 | + | 0.175054i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 82.6100 | − | 53.0903i | 2.80558 | − | 1.80304i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.97256 | + | 6.89271i | −0.202605 | + | 0.233819i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.96178 | − | 10.8648i | 0.168123 | − | 0.368139i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 26.9152 | 0.910943 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −16.2892 | −0.550675 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.83407 | − | 8.39544i | 0.129467 | − | 0.283494i | −0.833786 | − | 0.552087i | \(-0.813832\pi\) |
0.963254 | + | 0.268593i | \(0.0865588\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 48.4211 | − | 55.8810i | 1.63320 | − | 1.88482i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −9.02837 | + | 5.80218i | −0.304173 | + | 0.195480i | −0.683819 | − | 0.729652i | \(-0.739682\pi\) |
0.379646 | + | 0.925132i | \(0.376046\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.0765 | − | 22.0154i | −0.641975 | − | 0.740878i | 0.337748 | − | 0.941237i | \(-0.390335\pi\) |
−0.979723 | + | 0.200358i | \(0.935789\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.31862 | − | 16.1264i | 0.0779395 | − | 0.542081i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −18.3722 | − | 11.8071i | −0.616877 | − | 0.396443i | 0.194553 | − | 0.980892i | \(-0.437674\pi\) |
−0.811430 | + | 0.584449i | \(0.801311\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.4289 | − | 25.0258i | −0.383313 | − | 0.839338i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −3.69723 | − | 1.08561i | −0.123862 | − | 0.0363692i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −1.67124 | + | 0.490720i | −0.0559259 | + | 0.0164213i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.883565 | + | 6.14533i | 0.0295343 | + | 0.205416i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 10.3058 | + | 7.03615i | 0.344101 | + | 0.234930i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 8.94122 | + | 62.1875i | 0.298206 | + | 2.07407i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 38.8068 | − | 11.3947i | 1.29284 | − | 0.379613i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −55.3555 | − | 16.2538i | −1.84212 | − | 0.540894i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.0953048 | − | 0.208688i | −0.00316804 | − | 0.00693704i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.06087 | − | 1.32444i | −0.0684301 | − | 0.0439774i | 0.505978 | − | 0.862546i | \(-0.331132\pi\) |
−0.574409 | + | 0.818569i | \(0.694768\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −8.91188 | + | 61.9835i | −0.295588 | + | 2.05586i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 19.5150 | + | 22.5215i | 0.646560 | + | 0.746171i | 0.980521 | − | 0.196417i | \(-0.0629305\pi\) |
−0.333960 | + | 0.942587i | \(0.608385\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.29716 | − | 2.76162i | 0.142215 | − | 0.0913962i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −10.6899 | + | 12.3368i | −0.353398 | + | 0.407843i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −2.58785 | + | 5.66660i | −0.0854584 | + | 0.187128i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 23.8700 | 0.787398 | 0.393699 | − | 0.919239i | \(-0.371195\pi\) | ||||
0.393699 | + | 0.919239i | \(0.371195\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.45932 | 0.0480861 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.05548 | − | 2.31118i | 0.0347415 | − | 0.0760734i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.95148 | − | 5.71431i | 0.162804 | − | 0.187886i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.75966 | − | 4.34417i | 0.222016 | − | 0.142681i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −8.40708 | − | 9.70228i | −0.275827 | − | 0.318322i | 0.600886 | − | 0.799335i | \(-0.294814\pi\) |
−0.876713 | + | 0.481013i | \(0.840269\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.138168 | + | 0.960978i | −0.00452827 | + | 0.0314948i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −46.3218 | − | 29.7692i | −1.51651 | − | 0.974601i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.34308 | − | 2.94094i | −0.0439234 | − | 0.0961789i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.3091 | + | 9.78044i | 1.08816 | + | 0.319513i | 0.776139 | − | 0.630562i | \(-0.217175\pi\) |
0.312022 | + | 0.950075i | \(0.398994\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.1572 | + | 3.56969i | −0.396736 | + | 0.116492i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 1.00640 | + | 6.99964i | 0.0328076 | + | 0.228182i | 0.999628 | − | 0.0272753i | \(-0.00868309\pi\) |
−0.966820 | + | 0.255457i | \(0.917774\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −40.0884 | − | 12.9939i | −1.30546 | − | 0.423140i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.313445 | − | 2.18006i | −0.0101964 | − | 0.0709172i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.47533 | − | 1.31408i | 0.145429 | − | 0.0427017i | −0.208208 | − | 0.978085i | \(-0.566763\pi\) |
0.353637 | + | 0.935383i | \(0.384945\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.95192 | + | 1.45401i | 0.160746 | + | 0.0471993i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −30.4471 | − | 66.6698i | −0.987314 | − | 2.16192i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.0194 | − | 14.1510i | −0.713277 | − | 0.458395i | 0.133015 | − | 0.991114i | \(-0.457534\pi\) |
−0.846292 | + | 0.532719i | \(0.821170\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.359306 | − | 2.49903i | 0.0116269 | − | 0.0808666i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −7.28108 | − | 8.40282i | −0.235364 | − | 0.271625i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −16.5224 | + | 10.6183i | −0.533536 | + | 0.342883i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −17.8524 | + | 20.6028i | −0.575884 | + | 0.664605i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.14430 | − | 9.07475i | 0.133548 | − | 0.292430i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.5711 | −0.597825 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −8.44710 | −0.271640 | −0.135820 | − | 0.990734i | \(-0.543367\pi\) | ||||
−0.135820 | + | 0.990734i | \(0.543367\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.12537 | + | 6.84361i | −0.100401 | + | 0.219849i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.5276 | − | 17.9198i | 0.498305 | − | 0.575075i | −0.449761 | − | 0.893149i | \(-0.648491\pi\) |
0.948066 | + | 0.318074i | \(0.103036\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.02123 | − | 5.15493i | 0.257149 | − | 0.165260i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 7.37798 | + | 8.51464i | 0.236284 | + | 0.272687i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −4.36614 | + | 30.3672i | −0.139685 | + | 0.971533i | 0.792583 | + | 0.609764i | \(0.208736\pi\) |
−0.932268 | + | 0.361768i | \(0.882173\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.214580 | + | 0.137902i | 0.00685801 | + | 0.00440738i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.87635 | − | 19.4365i | −0.283400 | − | 0.620560i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.1230 | − | 2.97238i | −0.322874 | − | 0.0948043i | 0.116279 | − | 0.993217i | \(-0.462903\pi\) |
−0.439153 | + | 0.898412i | \(0.644721\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.5972 | + | 3.69888i | −0.401382 | + | 0.117856i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.40132 | + | 23.6567i | 0.108265 | + | 0.753000i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 50.8808 | + | 1.41725i | 1.61792 | + | 0.0450658i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.24422 | − | 43.4295i | −0.198354 | − | 1.37958i | −0.809060 | − | 0.587726i | \(-0.800023\pi\) |
0.610706 | − | 0.791858i | \(-0.290886\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −37.6103 | + | 11.0434i | −1.19353 | + | 0.350451i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −7.53660 | − | 2.21295i | −0.238926 | − | 0.0701551i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.7695 | − | 49.8583i | −0.721118 | − | 1.57903i | −0.812331 | − | 0.583197i | \(-0.801802\pi\) |
0.0912124 | − | 0.995831i | \(-0.470926\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.85319 | + | 1.19097i | 0.0586324 | + | 0.0376807i |
(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 | 184.2.i.b.49.3 | ✓ | 30 | |
4.3 | odd | 2 | 368.2.m.e.49.1 | 30 | |||
23.8 | even | 11 | inner | 184.2.i.b.169.3 | yes | 30 | |
23.10 | odd | 22 | 4232.2.a.ba.1.14 | 15 | |||
23.13 | even | 11 | 4232.2.a.bb.1.14 | 15 | |||
92.31 | odd | 22 | 368.2.m.e.353.1 | 30 | |||
92.59 | odd | 22 | 8464.2.a.cg.1.2 | 15 | |||
92.79 | even | 22 | 8464.2.a.ch.1.2 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
184.2.i.b.49.3 | ✓ | 30 | 1.1 | even | 1 | trivial | |
184.2.i.b.169.3 | yes | 30 | 23.8 | even | 11 | inner | |
368.2.m.e.49.1 | 30 | 4.3 | odd | 2 | |||
368.2.m.e.353.1 | 30 | 92.31 | odd | 22 | |||
4232.2.a.ba.1.14 | 15 | 23.10 | odd | 22 | |||
4232.2.a.bb.1.14 | 15 | 23.13 | even | 11 | |||
8464.2.a.cg.1.2 | 15 | 92.59 | odd | 22 | |||
8464.2.a.ch.1.2 | 15 | 92.79 | even | 22 |