Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(107,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.be (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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.10 | ||
Character | \(\chi\) | \(=\) | 756.107 |
Dual form | 756.2.be.c.431.10 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.687910 | + | 1.23563i | 0.486426 | + | 0.873722i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.05356 | + | 1.70000i | −0.526780 | + | 0.850001i | ||||
\(5\) | −0.303357 | − | 0.175143i | −0.135665 | − | 0.0783264i | 0.430631 | − | 0.902528i | \(-0.358291\pi\) |
−0.566297 | + | 0.824202i | \(0.691624\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.63538 | − | 0.234036i | −0.996080 | − | 0.0884574i | ||||
\(8\) | −2.82533 | − | 0.132362i | −0.998904 | − | 0.0467970i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.00772994 | − | 0.495319i | 0.00244442 | − | 0.156634i | ||||
\(11\) | −0.356330 | − | 0.617181i | −0.107437 | − | 0.186087i | 0.807294 | − | 0.590149i | \(-0.200931\pi\) |
−0.914731 | + | 0.404062i | \(0.867598\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.127465 | 0.0353524 | 0.0176762 | − | 0.999844i | \(-0.494373\pi\) | ||||
0.0176762 | + | 0.999844i | \(0.494373\pi\) | |||||||
\(14\) | −1.52372 | − | 3.41735i | −0.407232 | − | 0.913325i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.78002 | − | 3.58211i | −0.445005 | − | 0.895528i | ||||
\(17\) | −5.30564 | + | 3.06321i | −1.28681 | + | 0.742938i | −0.978083 | − | 0.208214i | \(-0.933235\pi\) |
−0.308723 | + | 0.951152i | \(0.599902\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.91768 | − | 1.68453i | −0.669363 | − | 0.386457i | 0.126472 | − | 0.991970i | \(-0.459634\pi\) |
−0.795835 | + | 0.605513i | \(0.792968\pi\) | |||||||
\(20\) | 0.617349 | − | 0.331184i | 0.138043 | − | 0.0740549i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.517485 | − | 0.864856i | 0.110328 | − | 0.184388i | ||||
\(23\) | −2.38776 | + | 4.13571i | −0.497881 | + | 0.862356i | −0.999997 | − | 0.00244454i | \(-0.999222\pi\) |
0.502116 | + | 0.864801i | \(0.332555\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.43865 | − | 4.22387i | −0.487730 | − | 0.844773i | ||||
\(26\) | 0.0876844 | + | 0.157499i | 0.0171963 | + | 0.0308882i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.17439 | − | 4.23358i | 0.599904 | − | 0.800072i | ||||
\(29\) | − | 3.39607i | − | 0.630635i | −0.948986 | − | 0.315318i | \(-0.897889\pi\) | ||
0.948986 | − | 0.315318i | \(-0.102111\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.00202473 | + | 0.00116898i | −0.000363652 | + | 0.000209955i | −0.500182 | − | 0.865920i | \(-0.666733\pi\) |
0.499818 | + | 0.866130i | \(0.333400\pi\) | |||||||
\(32\) | 3.20167 | − | 4.66362i | 0.565981 | − | 0.824418i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −7.43480 | − | 4.44859i | −1.27506 | − | 0.762927i | ||||
\(35\) | 0.758471 | + | 0.532565i | 0.128205 | + | 0.0900200i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.17085 | − | 3.76003i | 0.356886 | − | 0.618145i | −0.630553 | − | 0.776146i | \(-0.717172\pi\) |
0.987439 | + | 0.158001i | \(0.0505051\pi\) | |||||||
\(38\) | 0.0743466 | − | 4.76398i | 0.0120606 | − | 0.772819i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.833900 | + | 0.534990i | 0.131851 | + | 0.0845893i | ||||
\(41\) | 8.22678i | 1.28481i | 0.766367 | + | 0.642404i | \(0.222063\pi\) | ||||
−0.766367 | + | 0.642404i | \(0.777937\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 7.55045i | − | 1.15143i | −0.817649 | − | 0.575717i | \(-0.804723\pi\) | ||
0.817649 | − | 0.575717i | \(-0.195277\pi\) | |||||||
\(44\) | 1.42462 | + | 0.0444762i | 0.214770 | + | 0.00670503i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.75277 | − | 0.105384i | −0.995642 | − | 0.0155380i | ||||
\(47\) | −1.33348 | + | 2.30966i | −0.194508 | + | 0.336898i | −0.946739 | − | 0.322001i | \(-0.895644\pi\) |
0.752231 | + | 0.658900i | \(0.228978\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.89045 | + | 1.23355i | 0.984351 | + | 0.176221i | ||||
\(50\) | 3.54156 | − | 5.91891i | 0.500852 | − | 0.837060i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.134292 | + | 0.216691i | −0.0186230 | + | 0.0300496i | ||||
\(53\) | −10.1596 | + | 5.86566i | −1.39553 | + | 0.805710i | −0.993920 | − | 0.110101i | \(-0.964883\pi\) |
−0.401610 | + | 0.915811i | \(0.631549\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.249635i | 0.0336608i | ||||||||
\(56\) | 7.41484 | + | 1.01005i | 0.990849 | + | 0.134974i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.19629 | − | 2.33619i | 0.551000 | − | 0.306757i | ||||
\(59\) | 5.13898 | + | 8.90098i | 0.669039 | + | 1.15881i | 0.978173 | + | 0.207791i | \(0.0666274\pi\) |
−0.309134 | + | 0.951018i | \(0.600039\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.83849 | + | 4.91641i | −0.363432 | + | 0.629482i | −0.988523 | − | 0.151069i | \(-0.951728\pi\) |
0.625091 | + | 0.780552i | \(0.285062\pi\) | |||||||
\(62\) | −0.00283726 | − | 0.00169767i | −0.000360332 | − | 0.000215604i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.96496 | + | 0.747932i | 0.995620 | + | 0.0934915i | ||||
\(65\) | −0.0386674 | − | 0.0223246i | −0.00479610 | − | 0.00276903i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.79435 | + | 4.50007i | −0.952231 | + | 0.549771i | −0.893773 | − | 0.448519i | \(-0.851952\pi\) |
−0.0584577 | + | 0.998290i | \(0.518618\pi\) | |||||||
\(68\) | 0.382342 | − | 12.2469i | 0.0463658 | − | 1.48515i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.136294 | + | 1.30355i | −0.0162903 | + | 0.155803i | ||||
\(71\) | 9.61361 | 1.14093 | 0.570463 | − | 0.821323i | \(-0.306764\pi\) | ||||
0.570463 | + | 0.821323i | \(0.306764\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.15337 | − | 3.72974i | −0.252033 | − | 0.436534i | 0.712053 | − | 0.702126i | \(-0.247766\pi\) |
−0.964085 | + | 0.265593i | \(0.914432\pi\) | |||||||
\(74\) | 6.13935 | + | 0.0958106i | 0.713685 | + | 0.0111378i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.93766 | − | 3.18532i | 0.681096 | − | 0.365382i | ||||
\(77\) | 0.794621 | + | 1.70990i | 0.0905555 | + | 0.194861i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.92240 | + | 1.10990i | 0.216287 | + | 0.124874i | 0.604230 | − | 0.796810i | \(-0.293481\pi\) |
−0.387943 | + | 0.921684i | \(0.626814\pi\) | |||||||
\(80\) | −0.0874011 | + | 1.39842i | −0.00977174 | + | 0.156348i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.1653 | + | 5.65928i | −1.12256 | + | 0.624963i | ||||
\(83\) | 5.12311 | 0.562334 | 0.281167 | − | 0.959659i | \(-0.409278\pi\) | ||||
0.281167 | + | 0.959659i | \(0.409278\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.14600 | 0.232767 | ||||||||
\(86\) | 9.32956 | − | 5.19403i | 1.00603 | − | 0.560087i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.925057 | + | 1.79090i | 0.0986114 | + | 0.190911i | ||||
\(89\) | −7.79048 | − | 4.49784i | −0.825789 | − | 0.476770i | 0.0266194 | − | 0.999646i | \(-0.491526\pi\) |
−0.852409 | + | 0.522876i | \(0.824859\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.335919 | − | 0.0298314i | −0.0352138 | − | 0.00312718i | ||||
\(92\) | −4.51508 | − | 8.41642i | −0.470730 | − | 0.877472i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.77120 | − | 0.0588532i | −0.388969 | − | 0.00607024i | ||||
\(95\) | 0.590066 | + | 1.02203i | 0.0605395 | + | 0.104858i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −17.3426 | −1.76087 | −0.880436 | − | 0.474165i | \(-0.842750\pi\) | ||||
−0.880436 | + | 0.474165i | \(0.842750\pi\) | |||||||
\(98\) | 3.21580 | + | 9.36262i | 0.324845 | + | 0.945767i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 9.74985 | + | 0.304386i | 0.974985 | + | 0.0304386i | ||||
\(101\) | −9.20243 | + | 5.31302i | −0.915676 | + | 0.528666i | −0.882253 | − | 0.470776i | \(-0.843974\pi\) |
−0.0334227 | + | 0.999441i | \(0.510641\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 9.00546 | + | 5.19931i | 0.887335 | + | 0.512303i | 0.873070 | − | 0.487595i | \(-0.162126\pi\) |
0.0142649 | + | 0.999898i | \(0.495459\pi\) | |||||||
\(104\) | −0.360130 | − | 0.0168715i | −0.0353137 | − | 0.00165439i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −14.2367 | − | 8.51848i | −1.38279 | − | 0.827388i | ||||
\(107\) | 4.46519 | − | 7.73394i | 0.431666 | − | 0.747668i | −0.565351 | − | 0.824851i | \(-0.691259\pi\) |
0.997017 | + | 0.0771828i | \(0.0245925\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.15380 | + | 14.1228i | 0.780993 | + | 1.35272i | 0.931364 | + | 0.364089i | \(0.118620\pi\) |
−0.150371 | + | 0.988630i | \(0.548047\pi\) | |||||||
\(110\) | −0.308456 | + | 0.171726i | −0.0294101 | + | 0.0163735i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.85269 | + | 9.85682i | 0.364045 | + | 0.931382i | ||||
\(113\) | − | 8.44061i | − | 0.794025i | −0.917813 | − | 0.397013i | \(-0.870047\pi\) | ||
0.917813 | − | 0.397013i | \(-0.129953\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.44868 | − | 0.836398i | 0.135090 | − | 0.0779945i | ||||
\(116\) | 5.77334 | + | 3.57797i | 0.536041 | + | 0.332206i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.46316 | + | 12.4730i | −0.687040 | + | 1.14823i | ||||
\(119\) | 14.6993 | − | 6.83102i | 1.34748 | − | 0.626198i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.24606 | − | 9.08644i | 0.476914 | − | 0.826040i | ||||
\(122\) | −8.02749 | − | 0.125277i | −0.726775 | − | 0.0113420i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.000145909 | − | 0.00467364i | 1.31030e−5 | − | 0.000419705i | ||||
\(125\) | 3.45988i | 0.309461i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.21826i | 0.817988i | 0.912537 | + | 0.408994i | \(0.134120\pi\) | ||||
−0.912537 | + | 0.408994i | \(0.865880\pi\) | |||||||
\(128\) | 4.55501 | + | 10.3563i | 0.402609 | + | 0.915372i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.000985297 | − | 0.0631359i | 8.64162e−5 | − | 0.00553738i | ||||
\(131\) | −9.60458 | + | 16.6356i | −0.839156 | + | 1.45346i | 0.0514445 | + | 0.998676i | \(0.483617\pi\) |
−0.890601 | + | 0.454786i | \(0.849716\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.29497 | + | 5.12221i | 0.632554 | + | 0.444152i | ||||
\(134\) | −10.9222 | − | 6.53528i | −0.943536 | − | 0.564563i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 15.3956 | − | 7.95232i | 1.32016 | − | 0.681906i | ||||
\(137\) | −9.16525 | + | 5.29156i | −0.783040 | + | 0.452088i | −0.837507 | − | 0.546427i | \(-0.815987\pi\) |
0.0544666 | + | 0.998516i | \(0.482654\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 11.6495i | − | 0.988101i | −0.869433 | − | 0.494050i | \(-0.835516\pi\) | ||
0.869433 | − | 0.494050i | \(-0.164484\pi\) | |||||||
\(140\) | −1.70446 | + | 0.728313i | −0.144053 | + | 0.0615537i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.61329 | + | 11.8789i | 0.554975 | + | 0.996852i | ||||
\(143\) | −0.0454195 | − | 0.0786690i | −0.00379817 | − | 0.00657863i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.594799 | + | 1.03022i | −0.0493954 | + | 0.0855553i | ||||
\(146\) | 3.12726 | − | 5.22649i | 0.258814 | − | 0.432548i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.10493 | + | 7.65188i | 0.337424 | + | 0.628980i | ||||
\(149\) | 13.7343 | + | 7.92950i | 1.12516 | + | 0.649610i | 0.942712 | − | 0.333606i | \(-0.108266\pi\) |
0.182445 | + | 0.983216i | \(0.441599\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.21821 | − | 1.85804i | 0.261895 | − | 0.151205i | −0.363304 | − | 0.931671i | \(-0.618351\pi\) |
0.625199 | + | 0.780466i | \(0.285018\pi\) | |||||||
\(152\) | 8.02045 | + | 5.14553i | 0.650544 | + | 0.417358i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.56618 | + | 2.15812i | −0.126206 | + | 0.173906i | ||||
\(155\) | 0.000818955 | 0 | 6.57800e−5 | 0 | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.00586 | + | 1.74221i | 0.0802766 | + | 0.139043i | 0.903369 | − | 0.428865i | \(-0.141086\pi\) |
−0.823092 | + | 0.567908i | \(0.807753\pi\) | |||||||
\(158\) | −0.0489855 | + | 3.13889i | −0.00389707 | + | 0.249717i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.78805 | + | 0.853989i | −0.141358 | + | 0.0675138i | ||||
\(161\) | 7.26055 | − | 10.3404i | 0.572212 | − | 0.814934i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.0550 | + | 8.11468i | 1.10088 | + | 0.635590i | 0.936451 | − | 0.350799i | \(-0.114090\pi\) |
0.164424 | + | 0.986390i | \(0.447423\pi\) | |||||||
\(164\) | −13.9855 | − | 8.66741i | −1.09209 | − | 0.676811i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.52424 | + | 6.33027i | 0.273534 | + | 0.491324i | ||||
\(167\) | −24.8179 | −1.92047 | −0.960235 | − | 0.279193i | \(-0.909933\pi\) | ||||
−0.960235 | + | 0.279193i | \(0.909933\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9838 | −0.998750 | ||||||||
\(170\) | 1.47626 | + | 2.65166i | 0.113224 | + | 0.203373i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 12.8358 | + | 7.95486i | 0.978720 | + | 0.606552i | ||||
\(173\) | 4.32404 | + | 2.49649i | 0.328751 | + | 0.189804i | 0.655286 | − | 0.755381i | \(-0.272548\pi\) |
−0.326536 | + | 0.945185i | \(0.605881\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.43823 | + | 11.7022i | 0.411092 | + | 0.884605i | ||||
\(176\) | −1.57654 | + | 2.37501i | −0.118836 | + | 0.179023i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.198512 | − | 12.7203i | 0.0148791 | − | 0.953423i | ||||
\(179\) | −9.75634 | − | 16.8985i | −0.729223 | − | 1.26305i | −0.957212 | − | 0.289388i | \(-0.906548\pi\) |
0.227989 | − | 0.973664i | \(-0.426785\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.80817 | −0.580377 | −0.290188 | − | 0.956970i | \(-0.593718\pi\) | ||||
−0.290188 | + | 0.956970i | \(0.593718\pi\) | |||||||
\(182\) | −0.194221 | − | 0.435592i | −0.0143966 | − | 0.0322882i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.29361 | − | 11.3687i | 0.537692 | − | 0.838112i | ||||
\(185\) | −1.31709 | + | 0.760420i | −0.0968341 | + | 0.0559072i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.78111 | + | 2.18303i | 0.276502 | + | 0.159639i | ||||
\(188\) | −2.52152 | − | 4.70029i | −0.183901 | − | 0.342804i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.856932 | + | 1.43216i | −0.0621684 | + | 0.103900i | ||||
\(191\) | −6.21530 | + | 10.7652i | −0.449723 | + | 0.778944i | −0.998368 | − | 0.0571120i | \(-0.981811\pi\) |
0.548644 | + | 0.836056i | \(0.315144\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.669942 | + | 1.16037i | 0.0482235 | + | 0.0835256i | 0.889130 | − | 0.457656i | \(-0.151311\pi\) |
−0.840906 | + | 0.541181i | \(0.817977\pi\) | |||||||
\(194\) | −11.9301 | − | 21.4290i | −0.856533 | − | 1.53851i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.35655 | + | 10.4142i | −0.668325 | + | 0.743870i | ||||
\(197\) | − | 12.0610i | − | 0.859312i | −0.902993 | − | 0.429656i | \(-0.858635\pi\) | ||
0.902993 | − | 0.429656i | \(-0.141365\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.2777 | − | 5.93383i | 0.728566 | − | 0.420638i | −0.0893311 | − | 0.996002i | \(-0.528473\pi\) |
0.817897 | + | 0.575364i | \(0.195140\pi\) | |||||||
\(200\) | 6.33091 | + | 12.2566i | 0.447663 | + | 0.866672i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −12.8954 | − | 7.71591i | −0.907315 | − | 0.542889i | ||||
\(203\) | −0.794805 | + | 8.94995i | −0.0557844 | + | 0.628163i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.44086 | − | 2.49565i | 0.100634 | − | 0.174304i | ||||
\(206\) | −0.229471 | + | 14.7041i | −0.0159880 | + | 1.02448i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.226890 | − | 0.456594i | −0.0157320 | − | 0.0316591i | ||||
\(209\) | 2.40099i | 0.166080i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.47485i | 0.170376i | 0.996365 | + | 0.0851878i | \(0.0271490\pi\) | ||||
−0.996365 | + | 0.0851878i | \(0.972851\pi\) | |||||||
\(212\) | 0.732136 | − | 23.4512i | 0.0502833 | − | 1.61063i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 12.6279 | + | 0.197071i | 0.863227 | + | 0.0134715i | ||||
\(215\) | −1.32241 | + | 2.29048i | −0.0901876 | + | 0.156210i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.00560952 | − | 0.00260684i | 0.000380799 | − | 0.000176964i | ||||
\(218\) | −11.8415 | + | 19.7903i | −0.802006 | + | 1.34037i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.424380 | − | 0.263005i | −0.0286117 | − | 0.0177318i | ||||
\(221\) | −0.676283 | + | 0.390452i | −0.0454917 | + | 0.0262647i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 7.76582i | − | 0.520038i | −0.965604 | − | 0.260019i | \(-0.916271\pi\) | ||
0.965604 | − | 0.260019i | \(-0.0837288\pi\) | |||||||
\(224\) | −9.52907 | + | 11.5411i | −0.636688 | + | 0.771122i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 10.4295 | − | 5.80637i | 0.693757 | − | 0.386234i | ||||
\(227\) | −8.03290 | − | 13.9134i | −0.533163 | − | 0.923465i | −0.999250 | − | 0.0387259i | \(-0.987670\pi\) |
0.466087 | − | 0.884739i | \(-0.345663\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.54735 | + | 9.60830i | −0.366579 | + | 0.634934i | −0.989028 | − | 0.147726i | \(-0.952805\pi\) |
0.622449 | + | 0.782660i | \(0.286138\pi\) | |||||||
\(230\) | 2.03004 | + | 1.21467i | 0.133857 | + | 0.0800930i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.449511 | + | 9.59503i | −0.0295119 | + | 0.629944i | ||||
\(233\) | 3.11180 | + | 1.79660i | 0.203861 | + | 0.117699i | 0.598455 | − | 0.801156i | \(-0.295782\pi\) |
−0.394594 | + | 0.918855i | \(0.629115\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.809041 | − | 0.467100i | 0.0527760 | − | 0.0304703i | ||||
\(236\) | −20.5459 | − | 0.641435i | −1.33743 | − | 0.0417539i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 18.5524 | + | 13.4637i | 1.20257 | + | 0.872725i | ||||
\(239\) | 6.15253 | 0.397974 | 0.198987 | − | 0.980002i | \(-0.436235\pi\) | ||||
0.198987 | + | 0.980002i | \(0.436235\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.27143 | − | 10.8624i | −0.403978 | − | 0.699711i | 0.590224 | − | 0.807240i | \(-0.299040\pi\) |
−0.994202 | + | 0.107529i | \(0.965706\pi\) | |||||||
\(242\) | 14.8363 | + | 0.231535i | 0.953713 | + | 0.0148836i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −5.36739 | − | 10.0052i | −0.343612 | − | 0.640516i | ||||
\(245\) | −1.87422 | − | 1.58102i | −0.119739 | − | 0.101008i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.371903 | − | 0.214718i | −0.0236636 | − | 0.0136622i | ||||
\(248\) | 0.00587526 | − | 0.00303475i | 0.000373079 | − | 0.000192707i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.27513 | + | 2.38009i | −0.270383 | + | 0.150530i | ||||
\(251\) | 0.485661 | 0.0306547 | 0.0153273 | − | 0.999883i | \(-0.495121\pi\) | ||||
0.0153273 | + | 0.999883i | \(0.495121\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.40331 | 0.213964 | ||||||||
\(254\) | −11.3904 | + | 6.34133i | −0.714694 | + | 0.397890i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.66306 | + | 12.7525i | −0.603941 | + | 0.797029i | ||||
\(257\) | 25.2361 | + | 14.5701i | 1.57418 | + | 0.908855i | 0.995648 | + | 0.0931975i | \(0.0297088\pi\) |
0.578535 | + | 0.815657i | \(0.303625\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.60101 | + | 9.40105i | −0.410167 | + | 0.584153i | ||||
\(260\) | 0.0786903 | − | 0.0422143i | 0.00488017 | − | 0.00261802i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −27.1626 | − | 0.423898i | −1.67811 | − | 0.0261885i | ||||
\(263\) | −11.6832 | − | 20.2359i | −0.720416 | − | 1.24780i | −0.960833 | − | 0.277127i | \(-0.910618\pi\) |
0.240418 | − | 0.970670i | \(-0.422716\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.10932 | 0.252433 | ||||||||
\(266\) | −1.31088 | + | 12.5375i | −0.0803749 | + | 0.768723i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.561687 | − | 17.9915i | 0.0343105 | − | 1.09901i | ||||
\(269\) | 24.1233 | − | 13.9276i | 1.47082 | − | 0.849180i | 0.471359 | − | 0.881941i | \(-0.343764\pi\) |
0.999463 | + | 0.0327619i | \(0.0104303\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −24.8590 | − | 14.3523i | −1.51008 | − | 0.871843i | −0.999931 | − | 0.0117552i | \(-0.996258\pi\) |
−0.510146 | − | 0.860088i | \(-0.670409\pi\) | |||||||
\(272\) | 20.4169 | + | 13.5528i | 1.23796 | + | 0.821760i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.8433 | − | 7.68474i | −0.775890 | − | 0.464252i | ||||
\(275\) | −1.73793 | + | 3.01018i | −0.104801 | + | 0.181521i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.4773 | + | 23.3434i | 0.809773 | + | 1.40257i | 0.913021 | + | 0.407912i | \(0.133743\pi\) |
−0.103248 | + | 0.994656i | \(0.532924\pi\) | |||||||
\(278\) | 14.3945 | − | 8.01383i | 0.863325 | − | 0.480637i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.07244 | − | 1.60506i | −0.123852 | − | 0.0959209i | ||||
\(281\) | − | 25.3505i | − | 1.51228i | −0.654409 | − | 0.756141i | \(-0.727082\pi\) | ||
0.654409 | − | 0.756141i | \(-0.272918\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.20500 | + | 1.27306i | −0.131074 | + | 0.0756754i | −0.564103 | − | 0.825704i | \(-0.690778\pi\) |
0.433029 | + | 0.901380i | \(0.357445\pi\) | |||||||
\(284\) | −10.1285 | + | 16.3432i | −0.601017 | + | 0.969788i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0659611 | − | 0.110239i | 0.00390036 | − | 0.00651856i | ||||
\(287\) | 1.92537 | − | 21.6807i | 0.113651 | − | 1.27977i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.2665 | − | 17.7822i | 0.603914 | − | 1.04601i | ||||
\(290\) | −1.68214 | − | 0.0262515i | −0.0987787 | − | 0.00154154i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.60928 | + | 0.268778i | 0.503820 | + | 0.0157290i | ||||
\(293\) | − | 4.66529i | − | 0.272549i | −0.990671 | − | 0.136274i | \(-0.956487\pi\) | ||
0.990671 | − | 0.136274i | \(-0.0435129\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 3.60023i | − | 0.209614i | ||||||
\(296\) | −6.63106 | + | 10.3360i | −0.385422 | + | 0.600766i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.349968 | + | 22.4253i | −0.0202731 | + | 1.29906i | ||||
\(299\) | −0.304355 | + | 0.527159i | −0.0176013 | + | 0.0304864i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.76708 | + | 19.8983i | −0.101853 | + | 1.14692i | ||||
\(302\) | 4.50969 | + | 2.69836i | 0.259503 | + | 0.155273i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.840623 | + | 13.4500i | −0.0482130 | + | 0.771408i | ||||
\(305\) | 1.72215 | − | 0.994285i | 0.0986101 | − | 0.0569326i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.7333i | 0.955020i | 0.878626 | + | 0.477510i | \(0.158461\pi\) | ||||
−0.878626 | + | 0.477510i | \(0.841539\pi\) | |||||||
\(308\) | −3.74402 | − | 0.450626i | −0.213335 | − | 0.0256768i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.000563367 | 0.00101192i | 3.19971e−5 | 5.74734e-5i | ||||||
\(311\) | 15.6845 | + | 27.1664i | 0.889389 | + | 1.54047i | 0.840599 | + | 0.541657i | \(0.182203\pi\) |
0.0487894 | + | 0.998809i | \(0.484464\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11.3777 | − | 19.7068i | 0.643107 | − | 1.11389i | −0.341629 | − | 0.939835i | \(-0.610979\pi\) |
0.984735 | − | 0.174058i | \(-0.0556882\pi\) | |||||||
\(314\) | −1.46078 | + | 2.44135i | −0.0824364 | + | 0.137774i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.91220 | + | 2.09875i | −0.220079 | + | 0.118064i | ||||
\(317\) | −5.10594 | − | 2.94792i | −0.286778 | − | 0.165572i | 0.349710 | − | 0.936858i | \(-0.386280\pi\) |
−0.636488 | + | 0.771287i | \(0.719614\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.09599 | + | 1.21012i | −0.117353 | + | 0.0677538i | ||||
\(320\) | −2.28523 | − | 1.62190i | −0.127748 | − | 0.0906669i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 17.7715 | + | 1.85812i | 0.990364 | + | 0.103549i | ||||
\(323\) | 20.6402 | 1.14845 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.310842 | − | 0.538395i | −0.0172424 | − | 0.0298648i | ||||
\(326\) | −0.358141 | + | 22.9490i | −0.0198356 | + | 1.27103i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.08891 | − | 23.2434i | 0.0601252 | − | 1.28340i | ||||
\(329\) | 4.05477 | − | 5.77474i | 0.223547 | − | 0.318372i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.41160 | + | 4.27909i | 0.407378 | + | 0.235200i | 0.689663 | − | 0.724131i | \(-0.257759\pi\) |
−0.282284 | + | 0.959331i | \(0.591092\pi\) | |||||||
\(332\) | −5.39751 | + | 8.70930i | −0.296227 | + | 0.477985i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −17.0725 | − | 30.6658i | −0.934166 | − | 1.67796i | ||||
\(335\) | 3.15262 | 0.172246 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −26.1588 | −1.42496 | −0.712479 | − | 0.701693i | \(-0.752428\pi\) | ||||
−0.712479 | + | 0.701693i | \(0.752428\pi\) | |||||||
\(338\) | −8.93165 | − | 16.0431i | −0.485818 | − | 0.872630i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.26094 | + | 3.64821i | −0.122617 | + | 0.197852i | ||||
\(341\) | 0.00144294 | 0.000833084i | 7.81398e−5 | 4.51140e-5i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.8703 | − | 4.86349i | −0.964904 | − | 0.262604i | ||||
\(344\) | −0.999393 | + | 21.3325i | −0.0538837 | + | 1.15017i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.110182 | + | 7.06027i | −0.00592344 | + | 0.379562i | ||||
\(347\) | −18.3826 | − | 31.8396i | −0.986830 | − | 1.70924i | −0.633505 | − | 0.773738i | \(-0.718385\pi\) |
−0.353324 | − | 0.935501i | \(-0.614949\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 9.93465 | 0.531790 | 0.265895 | − | 0.964002i | \(-0.414333\pi\) | ||||
0.265895 | + | 0.964002i | \(0.414333\pi\) | |||||||
\(350\) | −10.7186 | + | 14.7697i | −0.572933 | + | 0.789474i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.01915 | − | 0.314226i | −0.214221 | − | 0.0167483i | ||||
\(353\) | 10.7415 | − | 6.20163i | 0.571715 | − | 0.330080i | −0.186119 | − | 0.982527i | \(-0.559591\pi\) |
0.757834 | + | 0.652447i | \(0.226258\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.91635 | − | 1.68376i | −0.154784 | − | 0.0893646i | ||||
\(356\) | 15.8541 | − | 8.50510i | 0.840265 | − | 0.450769i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.1688 | − | 23.6799i | 0.748843 | − | 1.25152i | ||||
\(359\) | 8.25328 | − | 14.2951i | 0.435592 | − | 0.754467i | −0.561752 | − | 0.827306i | \(-0.689873\pi\) |
0.997344 | + | 0.0728388i | \(0.0232059\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.82474 | − | 6.62465i | −0.201302 | − | 0.348666i | ||||
\(362\) | −5.37132 | − | 9.64801i | −0.282310 | − | 0.507088i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.404624 | − | 0.539633i | 0.0212081 | − | 0.0282845i | ||||
\(365\) | 1.50859i | 0.0789633i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.7204 | + | 6.18944i | −0.559602 | + | 0.323086i | −0.752986 | − | 0.658037i | \(-0.771387\pi\) |
0.193384 | + | 0.981123i | \(0.438054\pi\) | |||||||
\(368\) | 19.0648 | + | 1.19155i | 0.993824 | + | 0.0621140i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.84563 | − | 1.10433i | −0.0959500 | − | 0.0574114i | ||||
\(371\) | 28.1472 | − | 13.0805i | 1.46133 | − | 0.679106i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.5698 | − | 18.3074i | 0.547282 | − | 0.947920i | −0.451178 | − | 0.892434i | \(-0.648996\pi\) |
0.998459 | − | 0.0554855i | \(-0.0176707\pi\) | |||||||
\(374\) | −0.0963479 | + | 6.17378i | −0.00498203 | + | 0.319239i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 4.07323 | − | 6.34904i | 0.210061 | − | 0.327427i | ||||
\(377\) | − | 0.432880i | − | 0.0222945i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 18.9297i | − | 0.972352i | −0.873861 | − | 0.486176i | \(-0.838391\pi\) | ||
0.873861 | − | 0.486176i | \(-0.161609\pi\) | |||||||
\(380\) | −2.35912 | − | 0.0736506i | −0.121020 | − | 0.00377819i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −17.5774 | − | 0.274312i | −0.899337 | − | 0.0140350i | ||||
\(383\) | −3.25973 | + | 5.64601i | −0.166564 | + | 0.288498i | −0.937210 | − | 0.348766i | \(-0.886601\pi\) |
0.770645 | + | 0.637264i | \(0.219934\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.0584236 | − | 0.657883i | 0.00297754 | − | 0.0335288i | ||||
\(386\) | −0.972933 | + | 1.62603i | −0.0495210 | + | 0.0827629i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.2715 | − | 29.4824i | 0.927593 | − | 1.49674i | ||||
\(389\) | 14.7537 | − | 8.51806i | 0.748043 | − | 0.431883i | −0.0769436 | − | 0.997035i | \(-0.524516\pi\) |
0.824986 | + | 0.565153i | \(0.191183\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 29.2568i | − | 1.47958i | ||||||
\(392\) | −19.3045 | − | 4.39722i | −0.975025 | − | 0.222093i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.9030 | − | 8.29689i | 0.750800 | − | 0.417991i | ||||
\(395\) | −0.388783 | − | 0.673392i | −0.0195618 | − | 0.0338820i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.32945 | + | 12.6950i | −0.367854 | + | 0.637142i | −0.989230 | − | 0.146370i | \(-0.953241\pi\) |
0.621375 | + | 0.783513i | \(0.286574\pi\) | |||||||
\(398\) | 14.4021 | + | 8.61748i | 0.721914 | + | 0.431955i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −10.7895 | + | 16.2541i | −0.539476 | + | 0.812704i | ||||
\(401\) | −5.41239 | − | 3.12484i | −0.270282 | − | 0.156047i | 0.358734 | − | 0.933440i | \(-0.383209\pi\) |
−0.629016 | + | 0.777393i | \(0.716542\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.000258082 | 0 | 0.000149004i | −1.28560e−5 | 0 | 7.42241e-6i | ||||
\(404\) | 0.663158 | − | 21.2417i | 0.0329933 | − | 1.05682i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −11.6056 | + | 5.17467i | −0.575975 | + | 0.256815i | ||||
\(407\) | −3.09416 | −0.153372 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.5140 | − | 25.1389i | −0.717670 | − | 1.24304i | −0.961921 | − | 0.273329i | \(-0.911875\pi\) |
0.244251 | − | 0.969712i | \(-0.421458\pi\) | |||||||
\(410\) | 4.07488 | + | 0.0635925i | 0.201244 | + | 0.00314061i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −18.3266 | + | 9.83153i | −0.902889 | + | 0.484365i | ||||
\(413\) | −11.4600 | − | 24.6602i | −0.563911 | − | 1.21345i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.55413 | − | 0.897278i | −0.0762893 | − | 0.0440456i | ||||
\(416\) | 0.408101 | − | 0.594447i | 0.0200088 | − | 0.0291452i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.96673 | + | 1.65166i | −0.145108 | + | 0.0807854i | ||||
\(419\) | −5.94826 | −0.290591 | −0.145296 | − | 0.989388i | \(-0.546413\pi\) | ||||
−0.145296 | + | 0.989388i | \(0.546413\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.2986 | 1.28172 | 0.640858 | − | 0.767660i | \(-0.278579\pi\) | ||||
0.640858 | + | 0.767660i | \(0.278579\pi\) | |||||||
\(422\) | −3.05799 | + | 1.70247i | −0.148861 | + | 0.0828750i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 29.4806 | − | 15.2277i | 1.43171 | − | 0.739520i | ||||
\(425\) | 25.8772 | + | 14.9402i | 1.25523 | + | 0.724706i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 8.63112 | − | 12.2923i | 0.417689 | − | 0.594866i | ||||
\(428\) | 8.44337 | + | 15.7390i | 0.408126 | + | 0.760774i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.73989 | − | 0.0583646i | −0.180353 | − | 0.00281459i | ||||
\(431\) | −3.94092 | − | 6.82587i | −0.189827 | − | 0.328790i | 0.755365 | − | 0.655304i | \(-0.227459\pi\) |
−0.945193 | + | 0.326514i | \(0.894126\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.8906 | −1.38839 | −0.694196 | − | 0.719786i | \(-0.744240\pi\) | ||||
−0.694196 | + | 0.719786i | \(0.744240\pi\) | |||||||
\(434\) | 0.00707993 | + | 0.00513801i | 0.000339848 | + | 0.000246633i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −32.5993 | − | 1.01774i | −1.56122 | − | 0.0487407i | ||||
\(437\) | 13.9334 | − | 8.04447i | 0.666527 | − | 0.384819i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −22.8209 | − | 13.1757i | −1.08918 | − | 0.628840i | −0.155824 | − | 0.987785i | \(-0.549803\pi\) |
−0.933359 | + | 0.358945i | \(0.883136\pi\) | |||||||
\(440\) | 0.0330422 | − | 0.705300i | 0.00157522 | − | 0.0336239i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.947676 | − | 0.567040i | −0.0450764 | − | 0.0269713i | ||||
\(443\) | −11.8798 | + | 20.5764i | −0.564425 | + | 0.977613i | 0.432678 | + | 0.901549i | \(0.357569\pi\) |
−0.997103 | + | 0.0760641i | \(0.975765\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.57553 | + | 2.72890i | 0.0746873 | + | 0.129362i | ||||
\(446\) | 9.59567 | − | 5.34218i | 0.454368 | − | 0.252960i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.8157 | − | 3.83518i | −0.983447 | − | 0.181195i | ||||
\(449\) | 36.0964i | 1.70350i | 0.523951 | + | 0.851748i | \(0.324457\pi\) | ||||
−0.523951 | + | 0.851748i | \(0.675543\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.07741 | − | 2.93145i | 0.239086 | − | 0.138036i | ||||
\(452\) | 14.3491 | + | 8.89269i | 0.674923 | + | 0.418277i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.6659 | − | 19.4969i | 0.547507 | − | 0.915033i | ||||
\(455\) | 0.0966784 | + | 0.0678834i | 0.00453235 | + | 0.00318242i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 9.98422 | − | 17.2932i | 0.467042 | − | 0.808941i | −0.532249 | − | 0.846588i | \(-0.678653\pi\) |
0.999291 | + | 0.0376473i | \(0.0119863\pi\) | |||||||
\(458\) | −15.6884 | − | 0.244832i | −0.733070 | − | 0.0114403i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.104397 | + | 3.34396i | −0.00486754 | + | 0.155913i | ||||
\(461\) | − | 3.90222i | − | 0.181744i | −0.995863 | − | 0.0908722i | \(-0.971035\pi\) | ||
0.995863 | − | 0.0908722i | \(-0.0289655\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 11.0279i | 0.512510i | 0.966609 | + | 0.256255i | \(0.0824887\pi\) | ||||
−0.966609 | + | 0.256255i | \(0.917511\pi\) | |||||||
\(464\) | −12.1651 | + | 6.04508i | −0.564752 | + | 0.280636i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.0792928 | + | 5.08092i | −0.00367317 | + | 0.235369i | ||||
\(467\) | −19.2572 | + | 33.3545i | −0.891119 | + | 1.54346i | −0.0525832 | + | 0.998617i | \(0.516745\pi\) |
−0.838536 | + | 0.544847i | \(0.816588\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 21.5942 | − | 10.0352i | 0.997129 | − | 0.463384i | ||||
\(470\) | 1.13371 | + | 0.678353i | 0.0522942 | + | 0.0312901i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −13.3412 | − | 25.8284i | −0.614077 | − | 1.18885i | ||||
\(473\) | −4.66000 | + | 2.69045i | −0.214267 | + | 0.123707i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.4319i | 0.753946i | ||||||||
\(476\) | −3.87383 | + | 32.1857i | −0.177557 | + | 1.47523i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.23239 | + | 7.60225i | 0.193585 | + | 0.347719i | ||||
\(479\) | −7.41054 | − | 12.8354i | −0.338596 | − | 0.586466i | 0.645573 | − | 0.763699i | \(-0.276619\pi\) |
−0.984169 | + | 0.177233i | \(0.943285\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.276708 | − | 0.479272i | 0.0126168 | − | 0.0218529i | ||||
\(482\) | 9.10777 | − | 15.2215i | 0.414847 | − | 0.693322i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 9.91993 | + | 18.4914i | 0.450906 | + | 0.840519i | ||||
\(485\) | 5.26099 | + | 3.03743i | 0.238889 | + | 0.137923i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.45460 | − | 4.30391i | 0.337800 | − | 0.195029i | −0.321499 | − | 0.946910i | \(-0.604187\pi\) |
0.659299 | + | 0.751881i | \(0.270853\pi\) | |||||||
\(488\) | 8.67042 | − | 13.5148i | 0.392491 | − | 0.611785i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.664264 | − | 3.40344i | 0.0300084 | − | 0.153752i | ||||
\(491\) | 8.74870 | 0.394823 | 0.197412 | − | 0.980321i | \(-0.436746\pi\) | ||||
0.197412 | + | 0.980321i | \(0.436746\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.4029 | + | 18.0184i | 0.468523 | + | 0.811506i | ||||
\(494\) | 0.00947658 | − | 0.607240i | 0.000426371 | − | 0.0273210i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.00779148 | + | 0.00517201i | 0.000349848 | + | 0.000232230i | ||||
\(497\) | −25.3355 | − | 2.24993i | −1.13645 | − | 0.100923i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −25.1145 | − | 14.4998i | −1.12428 | − | 0.649102i | −0.181788 | − | 0.983338i | \(-0.558189\pi\) |
−0.942490 | + | 0.334236i | \(0.891522\pi\) | |||||||
\(500\) | −5.88181 | − | 3.64520i | −0.263043 | − | 0.163018i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.334091 | + | 0.600097i | 0.0149112 | + | 0.0267837i | ||||
\(503\) | −27.7583 | −1.23768 | −0.618841 | − | 0.785516i | \(-0.712397\pi\) | ||||
−0.618841 | + | 0.785516i | \(0.712397\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.72216 | 0.165634 | ||||||||
\(506\) | 2.34117 | + | 4.20523i | 0.104078 | + | 0.186945i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −15.6711 | − | 9.71199i | −0.695291 | − | 0.430900i | ||||
\(509\) | 18.3756 | + | 10.6092i | 0.814484 | + | 0.470243i | 0.848511 | − | 0.529178i | \(-0.177500\pi\) |
−0.0340265 | + | 0.999421i | \(0.510833\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.80205 | + | 10.3333i | 0.212430 | + | 0.457117i | ||||
\(512\) | −22.4046 | − | 3.16741i | −0.990154 | − | 0.139981i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.643049 | + | 41.2053i | −0.0283637 | + | 1.81749i | ||||
\(515\) | −1.82125 | − | 3.15449i | −0.0802537 | − | 0.139003i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.90064 | 0.0835899 | ||||||||
\(518\) | −16.1571 | − | 1.68933i | −0.709902 | − | 0.0742249i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.106293 | + | 0.0681925i | 0.00466126 | + | 0.00299044i | ||||
\(521\) | 20.9834 | − | 12.1148i | 0.919300 | − | 0.530758i | 0.0358883 | − | 0.999356i | \(-0.488574\pi\) |
0.883412 | + | 0.468598i | \(0.155241\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 18.7115 | + | 10.8031i | 0.818195 | + | 0.472385i | 0.849794 | − | 0.527116i | \(-0.176727\pi\) |
−0.0315989 | + | 0.999501i | \(0.510060\pi\) | |||||||
\(524\) | −18.1616 | − | 33.8545i | −0.793393 | − | 1.47894i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 16.9671 | − | 28.3565i | 0.739799 | − | 1.23640i | ||||
\(527\) | 0.00716166 | − | 0.0124044i | 0.000311967 | − | 0.000540343i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.0972459 | + | 0.168435i | 0.00422808 | + | 0.00732325i | ||||
\(530\) | 2.82684 | + | 5.07759i | 0.122790 | + | 0.220557i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.3935 | + | 7.00491i | −0.710747 | + | 0.303701i | ||||
\(533\) | 1.04863i | 0.0454210i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.70909 | + | 1.56409i | −0.117124 | + | 0.0676217i | ||||
\(536\) | 22.6172 | − | 11.6825i | 0.976915 | − | 0.504607i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 33.8040 | + | 20.2265i | 1.45739 | + | 0.872027i | ||||
\(539\) | −1.69395 | − | 4.69221i | −0.0729636 | − | 0.202108i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −20.2054 | + | 34.9967i | −0.868696 | + | 1.50463i | −0.00536596 | + | 0.999986i | \(0.501708\pi\) |
−0.863330 | + | 0.504640i | \(0.831625\pi\) | |||||||
\(542\) | 0.633441 | − | 40.5896i | 0.0272086 | − | 1.74347i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −2.70126 | + | 34.5509i | −0.115816 | + | 1.48136i | ||||
\(545\) | − | 5.71233i | − | 0.244689i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.7198i | 0.928670i | 0.885660 | + | 0.464335i | \(0.153707\pi\) | ||||
−0.885660 | + | 0.464335i | \(0.846293\pi\) | |||||||
\(548\) | 0.660479 | − | 21.1559i | 0.0282143 | − | 0.903736i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −4.91500 | − | 0.0767034i | −0.209576 | − | 0.00327064i | ||||
\(551\) | −5.72078 | + | 9.90868i | −0.243713 | + | 0.422124i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.80651 | − | 3.37492i | −0.204394 | − | 0.143516i | ||||
\(554\) | −19.5726 | + | 32.7111i | −0.831560 | + | 1.38976i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 19.8042 | + | 12.2735i | 0.839887 | + | 0.520512i | ||||
\(557\) | −36.2866 | + | 20.9501i | −1.53751 | + | 0.887684i | −0.538530 | + | 0.842606i | \(0.681020\pi\) |
−0.998983 | + | 0.0450775i | \(0.985647\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 0.962418i | − | 0.0407059i | ||||||
\(560\) | 0.557615 | − | 3.66490i | 0.0235635 | − | 0.154870i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 31.3238 | − | 17.4388i | 1.32131 | − | 0.735613i | ||||
\(563\) | −1.21907 | − | 2.11148i | −0.0513775 | − | 0.0889885i | 0.839193 | − | 0.543834i | \(-0.183028\pi\) |
−0.890570 | + | 0.454845i | \(0.849695\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.47831 | + | 2.56052i | −0.0621932 | + | 0.107722i | ||||
\(566\) | −3.08987 | − | 1.84881i | −0.129877 | − | 0.0777114i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −27.1616 | − | 1.27248i | −1.13968 | − | 0.0533919i | ||||
\(569\) | 7.19227 | + | 4.15246i | 0.301515 | + | 0.174080i | 0.643123 | − | 0.765762i | \(-0.277638\pi\) |
−0.341608 | + | 0.939843i | \(0.610972\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −40.3829 | + | 23.3151i | −1.68997 | + | 0.975705i | −0.735442 | + | 0.677588i | \(0.763025\pi\) |
−0.954529 | + | 0.298117i | \(0.903641\pi\) | |||||||
\(572\) | 0.181590 | + | 0.00566915i | 0.00759265 | + | 0.000237039i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 28.1138 | − | 12.5353i | 1.17345 | − | 0.523214i | ||||
\(575\) | 23.2916 | 0.971327 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.32922 | − | 7.49843i | −0.180228 | − | 0.312164i | 0.761730 | − | 0.647894i | \(-0.224350\pi\) |
−0.941958 | + | 0.335730i | \(0.891017\pi\) | |||||||
\(578\) | 29.0346 | + | 0.453114i | 1.20768 | + | 0.0188471i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.12472 | − | 2.09656i | −0.0467016 | − | 0.0870550i | ||||
\(581\) | −13.5013 | − | 1.19899i | −0.560130 | − | 0.0497426i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.24034 | + | 4.18021i | 0.299864 | + | 0.173127i | ||||
\(584\) | 5.59030 | + | 10.8228i | 0.231328 | + | 0.447850i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.76457 | − | 3.20930i | 0.238132 | − | 0.132575i | ||||
\(587\) | −16.5890 | −0.684700 | −0.342350 | − | 0.939573i | \(-0.611223\pi\) | ||||
−0.342350 | + | 0.939573i | \(0.611223\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.00787670 | 0.000324554 | ||||||||
\(590\) | 4.44855 | − | 2.47663i | 0.183144 | − | 0.101961i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −17.3330 | − | 1.08331i | −0.712382 | − | 0.0445239i | ||||
\(593\) | −35.4794 | − | 20.4840i | −1.45696 | − | 0.841178i | −0.458103 | − | 0.888899i | \(-0.651471\pi\) |
−0.998861 | + | 0.0477210i | \(0.984804\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.65553 | − | 0.502243i | −0.231854 | − | 0.0205899i | ||||
\(596\) | −27.9501 | + | 14.9941i | −1.14488 | + | 0.614184i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.860742 | − | 0.0134327i | −0.0351983 | − | 0.000549305i | ||||
\(599\) | −10.5150 | − | 18.2125i | −0.429632 | − | 0.744144i | 0.567209 | − | 0.823574i | \(-0.308023\pi\) |
−0.996840 | + | 0.0794302i | \(0.974690\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −1.20122 | −0.0489988 | −0.0244994 | − | 0.999700i | \(-0.507799\pi\) | ||||
−0.0244994 | + | 0.999700i | \(0.507799\pi\) | |||||||
\(602\) | −25.8025 | + | 11.5048i | −1.05163 | + | 0.468900i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.231915 | + | 7.42853i | −0.00943650 | + | 0.302263i | ||||
\(605\) | −3.18286 | + | 1.83762i | −0.129401 | + | 0.0747100i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 26.7657 | + | 15.4532i | 1.08638 | + | 0.627224i | 0.932612 | − | 0.360882i | \(-0.117524\pi\) |
0.153773 | + | 0.988106i | \(0.450858\pi\) | |||||||
\(608\) | −17.1974 | + | 8.21366i | −0.697449 | + | 0.333108i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.41325 | + | 1.44396i | 0.0977098 | + | 0.0584644i | ||||
\(611\) | −0.169972 | + | 0.294400i | −0.00687634 | + | 0.0119102i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.49089 | + | 4.31434i | 0.100606 | + | 0.174255i | 0.911934 | − | 0.410336i | \(-0.134589\pi\) |
−0.811329 | + | 0.584590i | \(0.801255\pi\) | |||||||
\(614\) | −20.6762 | + | 11.5110i | −0.834422 | + | 0.464546i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.01874 | − | 4.93621i | −0.0813374 | − | 0.198886i | ||||
\(617\) | − | 15.4858i | − | 0.623435i | −0.950175 | − | 0.311718i | \(-0.899096\pi\) | ||
0.950175 | − | 0.311718i | \(-0.100904\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.9439 | − | 12.6693i | 0.881998 | − | 0.509222i | 0.0106814 | − | 0.999943i | \(-0.496600\pi\) |
0.871317 | + | 0.490721i | \(0.163267\pi\) | |||||||
\(620\) | −0.000862818 | 0.00139223i | −3.46516e−5 | 5.59131e-5i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −22.7781 | + | 38.0683i | −0.913318 | + | 1.52640i | ||||
\(623\) | 19.4782 | + | 13.6768i | 0.780379 | + | 0.547948i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.5873 | + | 20.0697i | −0.463491 | + | 0.802790i | ||||
\(626\) | 32.1771 | + | 0.502156i | 1.28606 | + | 0.0200702i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.02149 | − | 0.125549i | −0.160475 | − | 0.00500996i | ||||
\(629\) | 26.5991i | 1.06058i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 12.6823i | − | 0.504876i | −0.967613 | − | 0.252438i | \(-0.918768\pi\) | ||
0.967613 | − | 0.252438i | \(-0.0812323\pi\) | |||||||
\(632\) | −5.28452 | − | 3.39029i | −0.210207 | − | 0.134858i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.130106 | − | 8.33695i | 0.00516718 | − | 0.331103i | ||||
\(635\) | 1.61451 | − | 2.79642i | 0.0640701 | − | 0.110973i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.878291 | + | 0.157234i | 0.0347992 | + | 0.00622985i | ||||
\(638\) | −2.93712 | − | 1.75742i | −0.116282 | − | 0.0695768i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.432034 | − | 3.93942i | 0.0170776 | − | 0.155719i | ||||
\(641\) | −14.7613 | + | 8.52242i | −0.583035 | + | 0.336615i | −0.762338 | − | 0.647179i | \(-0.775949\pi\) |
0.179304 | + | 0.983794i | \(0.442615\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 37.1996i | − | 1.46701i | −0.679685 | − | 0.733504i | \(-0.737883\pi\) | ||
0.679685 | − | 0.733504i | \(-0.262117\pi\) | |||||||
\(644\) | 9.92921 | + | 23.2371i | 0.391266 | + | 0.915672i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 14.1986 | + | 25.5037i | 0.558637 | + | 1.00343i | ||||
\(647\) | 7.31238 | + | 12.6654i | 0.287479 | + | 0.497929i | 0.973207 | − | 0.229929i | \(-0.0738494\pi\) |
−0.685728 | + | 0.727858i | \(0.740516\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.66235 | − | 6.34337i | 0.143760 | − | 0.248999i | ||||
\(650\) | 0.451425 | − | 0.754453i | 0.0177063 | − | 0.0295921i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −28.6028 | + | 15.3443i | −1.12017 | + | 0.600929i | ||||
\(653\) | −35.1095 | − | 20.2705i | −1.37394 | − | 0.793245i | −0.382519 | − | 0.923948i | \(-0.624943\pi\) |
−0.991422 | + | 0.130703i | \(0.958277\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.82723 | − | 3.36435i | 0.227689 | − | 0.131456i | ||||
\(656\) | 29.4692 | − | 14.6438i | 1.15058 | − | 0.571746i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 9.92476 | + | 1.03770i | 0.386907 | + | 0.0404537i | ||||
\(659\) | 2.98301 | 0.116201 | 0.0581007 | − | 0.998311i | \(-0.481496\pi\) | ||||
0.0581007 | + | 0.998311i | \(0.481496\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.4040 | + | 26.6805i | 0.599146 | + | 1.03775i | 0.992947 | + | 0.118556i | \(0.0378264\pi\) |
−0.393801 | + | 0.919196i | \(0.628840\pi\) | |||||||
\(662\) | −0.188858 | + | 12.1016i | −0.00734016 | + | 0.470343i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −14.4745 | − | 0.678105i | −0.561718 | − | 0.0263156i | ||||
\(665\) | −1.31586 | − | 2.83152i | −0.0510268 | − | 0.109802i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.0452 | + | 8.10900i | 0.543832 | + | 0.313982i | ||||
\(668\) | 26.1472 | − | 42.1906i | 1.01167 | − | 1.63240i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.16872 | + | 3.89548i | 0.0837850 | + | 0.150495i | ||||
\(671\) | 4.04576 | 0.156185 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.4848 | 0.596894 | 0.298447 | − | 0.954426i | \(-0.403531\pi\) | ||||
0.298447 | + | 0.954426i | \(0.403531\pi\) | |||||||
\(674\) | −17.9949 | − | 32.3225i | −0.693136 | − | 1.24502i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.6792 | − | 22.0724i | 0.526122 | − | 0.848939i | ||||
\(677\) | 25.3739 | + | 14.6496i | 0.975199 | + | 0.563032i | 0.900817 | − | 0.434198i | \(-0.142968\pi\) |
0.0743819 | + | 0.997230i | \(0.476302\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 45.7043 | + | 4.05879i | 1.75397 | + | 0.155762i | ||||
\(680\) | −6.06316 | − | 0.284049i | −0.232512 | − | 0.0108928i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.67682e−5 | 0.00235603i | −1.40793e−6 | 9.02171e-5i | ||||||
\(683\) | 1.53968 | + | 2.66681i | 0.0589143 | + | 0.102043i | 0.893978 | − | 0.448110i | \(-0.147903\pi\) |
−0.835064 | + | 0.550153i | \(0.814569\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.70712 | 0.141642 | ||||||||
\(686\) | −6.28366 | − | 25.4267i | −0.239911 | − | 0.970795i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −27.0466 | + | 13.4400i | −1.03114 | + | 0.512394i | ||||
\(689\) | −1.29499 | + | 0.747665i | −0.0493354 | + | 0.0284838i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 19.1882 | + | 11.0783i | 0.729952 | + | 0.421438i | 0.818405 | − | 0.574642i | \(-0.194859\pi\) |
−0.0884525 | + | 0.996080i | \(0.528192\pi\) | |||||||
\(692\) | −8.79967 | + | 4.72068i | −0.334513 | + | 0.179453i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 26.6964 | − | 44.6169i | 1.01338 | − | 1.69363i | ||||
\(695\) | −2.04034 | + | 3.53397i | −0.0773944 | + | 0.134051i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −25.2004 | − | 43.6483i | −0.954532 | − | 1.65330i | ||||
\(698\) | 6.83414 | + | 12.2756i | 0.258676 | + | 0.464636i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −25.6233 | − | 3.08399i | −0.968470 | − | 0.116564i | ||||
\(701\) | 33.1595i | 1.25242i | 0.779656 | + | 0.626208i | \(0.215394\pi\) | ||||
−0.779656 | + | 0.626208i | \(0.784606\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.6677 | + | 7.31372i | −0.477773 | + | 0.275842i | ||||
\(704\) | −2.37654 | − | 5.18233i | −0.0895693 | − | 0.195317i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.0521 | + | 9.00641i | 0.566495 | + | 0.338961i | ||||
\(707\) | 25.4953 | − | 11.8481i | 0.958850 | − | 0.445595i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.67372 | + | 13.2913i | −0.288193 | + | 0.499164i | −0.973378 | − | 0.229204i | \(-0.926388\pi\) |
0.685186 | + | 0.728368i | \(0.259721\pi\) | |||||||
\(710\) | 0.0743126 | − | 4.76181i | 0.00278890 | − | 0.178707i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 21.4153 | + | 13.7390i | 0.802573 | + | 0.514892i | ||||
\(713\) | − | 0.0111649i | − | 0.000418130i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.0318197i | 0.00118999i | ||||||||
\(716\) | 39.0064 | + | 1.21776i | 1.45774 | + | 0.0455099i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 23.3410 | + | 0.364259i | 0.871077 | + | 0.0135940i | ||||
\(719\) | −14.9962 | + | 25.9742i | −0.559264 | + | 0.968674i | 0.438294 | + | 0.898832i | \(0.355583\pi\) |
−0.997558 | + | 0.0698422i | \(0.977750\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.5160 | − | 15.8098i | −0.838539 | − | 0.588786i | ||||
\(722\) | 5.55454 | − | 9.28313i | 0.206718 | − | 0.345482i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.22638 | − | 13.2739i | 0.305731 | − | 0.493321i | ||||
\(725\) | −14.3446 | + | 8.28184i | −0.532744 | + | 0.307580i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.1692i | 1.52688i | 0.645879 | + | 0.763440i | \(0.276491\pi\) | ||||
−0.645879 | + | 0.763440i | \(0.723509\pi\) | |||||||
\(728\) | 0.945132 | + | 0.128746i | 0.0350289 | + | 0.00477166i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.86406 | + | 1.03777i | −0.0689920 | + | 0.0384098i | ||||
\(731\) | 23.1286 | + | 40.0600i | 0.855444 | + | 1.48167i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.3313 | + | 28.2866i | −0.603209 | + | 1.04479i | 0.389123 | + | 0.921186i | \(0.372778\pi\) |
−0.992332 | + | 0.123603i | \(0.960555\pi\) | |||||||
\(734\) | −15.0225 | − | 8.98870i | −0.554492 | − | 0.331779i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.6426 | + | 24.3768i | 0.429151 | + | 0.898540i | ||||
\(737\) | 5.55471 | + | 3.20702i | 0.204611 | + | 0.118132i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.9487 | − | 9.20799i | 0.586683 | − | 0.338721i | −0.177102 | − | 0.984192i | \(-0.556672\pi\) |
0.763785 | + | 0.645471i | \(0.223339\pi\) | |||||||
\(740\) | 0.0949137 | − | 3.04020i | 0.00348910 | − | 0.111760i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 35.5254 | + | 25.7813i | 1.30418 | + | 0.946462i | ||||
\(743\) | 22.5175 | 0.826088 | 0.413044 | − | 0.910711i | \(-0.364466\pi\) | ||||
0.413044 | + | 0.910711i | \(0.364466\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.77759 | − | 4.81093i | −0.101763 | − | 0.176259i | ||||
\(746\) | 29.8922 | + | 0.466496i | 1.09443 | + | 0.0170797i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −7.69479 | + | 4.12795i | −0.281349 | + | 0.150933i | ||||
\(749\) | −13.5775 | + | 19.3368i | −0.496111 | + | 0.706553i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 27.5078 | + | 15.8816i | 1.00377 | + | 0.579529i | 0.909362 | − | 0.416005i | \(-0.136570\pi\) |
0.0944107 | + | 0.995533i | \(0.469903\pi\) | |||||||
\(752\) | 10.6471 | + | 0.665443i | 0.388259 | + | 0.0242662i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.534880 | − | 0.297783i | 0.0194792 | − | 0.0108446i | ||||
\(755\) | −1.30169 | −0.0473733 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.32709 | −0.266308 | −0.133154 | − | 0.991095i | \(-0.542510\pi\) | ||||
−0.133154 | + | 0.991095i | \(0.542510\pi\) | |||||||
\(758\) | 23.3901 | − | 13.0219i | 0.849565 | − | 0.472977i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.53185 | − | 2.96566i | −0.0555662 | − | 0.107576i | ||||
\(761\) | −4.23458 | − | 2.44483i | −0.153503 | − | 0.0886252i | 0.421281 | − | 0.906930i | \(-0.361581\pi\) |
−0.574784 | + | 0.818305i | \(0.694914\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −18.1831 | − | 39.1272i | −0.658273 | − | 1.41650i | ||||
\(764\) | −11.7527 | − | 21.9078i | −0.425198 | − | 0.792598i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.21877 | − | 0.143868i | −0.333088 | − | 0.00519816i | ||||
\(767\) | 0.655040 | + | 1.13456i | 0.0236521 | + | 0.0409667i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.3531 | 0.373343 | 0.186672 | − | 0.982422i | \(-0.440230\pi\) | ||||
0.186672 | + | 0.982422i | \(0.440230\pi\) | |||||||
\(770\) | 0.853089 | − | 0.380374i | 0.0307432 | − | 0.0137077i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.67846 | − | 0.0836205i | −0.0964000 | − | 0.00300957i | ||||
\(773\) | −5.48545 | + | 3.16703i | −0.197298 | + | 0.113910i | −0.595395 | − | 0.803433i | \(-0.703004\pi\) |
0.398097 | + | 0.917344i | \(0.369671\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.00987522 | + | 0.00570146i | 0.000354728 | + | 0.000204802i | ||||
\(776\) | 48.9985 | + | 2.29550i | 1.75894 | + | 0.0824036i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 20.6744 | + | 12.3705i | 0.741212 | + | 0.443503i | ||||
\(779\) | 13.8582 | − | 24.0031i | 0.496522 | − | 0.860002i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.42561 | − | 5.93334i | −0.122578 | − | 0.212312i | ||||
\(782\) | 36.1506 | − | 20.1260i | 1.29274 | − | 0.719706i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −7.84644 | − | 26.8781i | −0.280230 | − | 0.959933i | ||||
\(785\) | − | 0.704680i | − | 0.0251511i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.48926 | + | 0.859826i | −0.0530865 | + | 0.0306495i | −0.526308 | − | 0.850294i | \(-0.676424\pi\) |
0.473222 | + | 0.880943i | \(0.343091\pi\) | |||||||
\(788\) | 20.5038 | + | 12.7070i | 0.730417 | + | 0.452669i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.564615 | − | 0.943625i | 0.0200881 | − | 0.0335727i | ||||
\(791\) | −1.97541 | + | 22.2442i | −0.0702374 | + | 0.790913i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.361808 | + | 0.626670i | −0.0128482 | + | 0.0222537i | ||||
\(794\) | −20.7283 | − | 0.323485i | −0.735619 | − | 0.0114801i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.740645 | + | 23.7238i | −0.0262515 | + | 0.840866i | ||||
\(797\) | 3.60991i | 0.127870i | 0.997954 | + | 0.0639348i | \(0.0203650\pi\) | ||||
−0.997954 | + | 0.0639348i | \(0.979635\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 16.3390i | − | 0.578031i | ||||||
\(800\) | −27.5062 | − | 2.15050i | −0.972492 | − | 0.0760317i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.137915 | − | 8.83732i | 0.00486995 | − | 0.312056i | ||||
\(803\) | −1.53462 | + | 2.65804i | −0.0541555 | + | 0.0938001i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.01358 | + | 1.86518i | −0.141460 | + | 0.0657390i | ||||
\(806\) | −0.000361651 | 0 | 0.000216393i | −1.27386e−5 | 0 | 7.62211e-6i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 26.7031 | − | 13.7930i | 0.939412 | − | 0.485235i | ||||
\(809\) | −9.63889 | + | 5.56502i | −0.338885 | + | 0.195656i | −0.659779 | − | 0.751460i | \(-0.729350\pi\) |
0.320894 | + | 0.947115i | \(0.396017\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 40.8908i | 1.43587i | 0.696110 | + | 0.717936i | \(0.254913\pi\) | ||||
−0.696110 | + | 0.717936i | \(0.745087\pi\) | |||||||
\(812\) | −14.3776 | − | 10.7805i | −0.504553 | − | 0.378321i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.12850 | − | 3.82323i | −0.0746039 | − | 0.134004i | ||||
\(815\) | −2.84246 | − | 4.92329i | −0.0995670 | − | 0.172455i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −12.7189 | + | 22.0298i | −0.444979 | + | 0.770727i | ||||
\(818\) | 21.0781 | − | 35.2272i | 0.736979 | − | 1.23169i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 2.72457 | + | 5.07879i | 0.0951463 | + | 0.177359i | ||||
\(821\) | −28.0807 | − | 16.2124i | −0.980024 | − | 0.565817i | −0.0777465 | − | 0.996973i | \(-0.524772\pi\) |
−0.902277 | + | 0.431156i | \(0.858106\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.66266 | − | 5.00139i | 0.301961 | − | 0.174337i | −0.341362 | − | 0.939932i | \(-0.610888\pi\) |
0.643324 | + | 0.765594i | \(0.277555\pi\) | |||||||
\(824\) | −24.7552 | − | 15.8817i | −0.862388 | − | 0.553266i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 22.5874 | − | 31.1243i | 0.785916 | − | 1.08295i | ||||
\(827\) | 28.0825 | 0.976525 | 0.488263 | − | 0.872697i | \(-0.337631\pi\) | ||||
0.488263 | + | 0.872697i | \(0.337631\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.9592 | + | 39.7666i | 0.797407 | + | 1.38115i | 0.921299 | + | 0.388854i | \(0.127129\pi\) |
−0.123892 | + | 0.992296i | \(0.539538\pi\) | |||||||
\(830\) | 0.0396013 | − | 2.53758i | 0.00137458 | − | 0.0880805i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.01525 | + | 0.0953351i | 0.0351976 | + | 0.00330515i | ||||
\(833\) | −40.3369 | + | 14.5622i | −1.39759 | + | 0.504549i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.52869 | + | 4.34669i | 0.260541 | + | 0.150423i | ||||
\(836\) | −4.08168 | − | 2.52958i | −0.141168 | − | 0.0874875i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.09186 | − | 7.34984i | −0.141351 | − | 0.253896i | ||||
\(839\) | 22.9019 | 0.790662 | 0.395331 | − | 0.918539i | \(-0.370630\pi\) | ||||
0.395331 | + | 0.918539i | \(0.370630\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.4667 | 0.602299 | ||||||||
\(842\) | 18.0911 | + | 32.4953i | 0.623459 | + | 1.11986i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.20725 | − | 2.60740i | −0.144819 | − | 0.0897505i | ||||
\(845\) | 3.93871 | + | 2.27402i | 0.135496 | + | 0.0782285i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.9519 | + | 22.7185i | −0.548114 | + | 0.780615i | ||||
\(848\) | 39.0958 | + | 25.9519i | 1.34255 | + | 0.891192i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.659386 | + | 42.2521i | −0.0226168 | + | 1.44924i | ||||
\(851\) | 10.3669 | + | 17.9561i | 0.355374 | + | 0.615526i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 10.6107 | 0.363304 | 0.181652 | − | 0.983363i | \(-0.441856\pi\) | ||||
0.181652 | + | 0.983363i | \(0.441856\pi\) | |||||||
\(854\) | 21.1262 | + | 2.20888i | 0.722923 | + | 0.0755862i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −13.6393 | + | 21.2599i | −0.466182 | + | 0.726648i | ||||
\(857\) | −27.1454 | + | 15.6724i | −0.927268 | + | 0.535358i | −0.885946 | − | 0.463788i | \(-0.846490\pi\) |
−0.0413213 | + | 0.999146i | \(0.513157\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 8.41769 | + | 4.85995i | 0.287208 | + | 0.165819i | 0.636682 | − | 0.771127i | \(-0.280306\pi\) |
−0.349474 | + | 0.936946i | \(0.613640\pi\) | |||||||
\(860\) | −2.50059 | − | 4.66126i | −0.0852693 | − | 0.158948i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.72325 | − | 9.56509i | 0.194935 | − | 0.325788i | ||||
\(863\) | −22.7910 | + | 39.4752i | −0.775815 | + | 1.34375i | 0.158520 | + | 0.987356i | \(0.449328\pi\) |
−0.934335 | + | 0.356395i | \(0.884006\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.874485 | − | 1.51465i | −0.0297334 | − | 0.0514997i | ||||
\(866\) | −19.8741 | − | 35.6981i | −0.675350 | − | 1.21307i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.00147833 | + | 0.0122827i | −5.01777e−5 | + | 0.000416901i | ||||
\(869\) | − | 1.58196i | − | 0.0536644i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.993506 | + | 0.573601i | −0.0336637 | + | 0.0194357i | ||||
\(872\) | −21.1678 | − | 40.9808i | −0.716834 | − | 1.38779i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 19.5249 | + | 11.6827i | 0.660441 | + | 0.395173i | ||||
\(875\) | 0.809738 | − | 9.11811i | 0.0273741 | − | 0.308248i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.86133 | + | 8.42007i | −0.164155 | + | 0.284326i | −0.936355 | − | 0.351054i | \(-0.885823\pi\) |
0.772200 | + | 0.635380i | \(0.219157\pi\) | |||||||
\(878\) | 0.581507 | − | 37.2618i | 0.0196249 | − | 1.25753i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.894220 | − | 0.444355i | 0.0301442 | − | 0.0149792i | ||||
\(881\) | 7.59560i | 0.255902i | 0.991780 | + | 0.127951i | \(0.0408401\pi\) | ||||
−0.991780 | + | 0.127951i | \(0.959160\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 12.2076i | − | 0.410817i | −0.978676 | − | 0.205409i | \(-0.934148\pi\) | ||
0.978676 | − | 0.205409i | \(-0.0658524\pi\) | |||||||
\(884\) | 0.0487352 | − | 1.56105i | 0.00163914 | − | 0.0525037i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −33.5970 | − | 0.524314i | −1.12871 | − | 0.0176147i | ||||
\(887\) | 14.1560 | − | 24.5189i | 0.475312 | − | 0.823264i | −0.524288 | − | 0.851541i | \(-0.675669\pi\) |
0.999600 | + | 0.0282768i | \(0.00900198\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.15741 | − | 24.2936i | 0.0723571 | − | 0.814782i | ||||
\(890\) | −2.28809 | + | 3.82401i | −0.0766968 | + | 0.128181i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.2019 | + | 8.18176i | 0.442033 | + | 0.273946i | ||||
\(893\) | 7.78136 | − | 4.49257i | 0.260393 | − | 0.150338i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.83503i | 0.228470i | ||||||||
\(896\) | −9.58043 | − | 28.3587i | −0.320060 | − | 0.947397i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −44.6018 | + | 24.8311i | −1.48838 | + | 0.828624i | ||||
\(899\) | 0.00396994 | + | 0.00687614i | 0.000132405 | + | 0.000229332i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 35.9355 | − | 62.2421i | 1.19719 | − | 2.07359i | ||||
\(902\) | 7.11498 | + | 4.25723i | 0.236903 | + | 0.141750i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.11722 | + | 23.8475i | −0.0371580 | + | 0.793156i | ||||
\(905\) | 2.36866 | + | 1.36755i | 0.0787370 | + | 0.0454588i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.89877 | − | 3.40566i | 0.195865 | − | 0.113083i | −0.398860 | − | 0.917012i | \(-0.630594\pi\) |
0.594725 | + | 0.803929i | \(0.297261\pi\) | |||||||
\(908\) | 32.1160 | + | 1.00265i | 1.06581 | + | 0.0332740i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0173727 | + | 0.166156i | −0.000575900 | + | 0.00550803i | ||||
\(911\) | −33.1107 | −1.09701 | −0.548503 | − | 0.836148i | \(-0.684802\pi\) | ||||
−0.548503 | + | 0.836148i | \(0.684802\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.82552 | − | 3.16189i | −0.0604158 | − | 0.104643i | ||||
\(914\) | 28.2362 | + | 0.440653i | 0.933970 | + | 0.0145755i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −10.4897 | − | 19.5534i | −0.346588 | − | 0.646064i | ||||
\(917\) | 29.2051 | − | 41.5934i | 0.964436 | − | 1.37353i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −38.7490 | − | 22.3718i | −1.27821 | − | 0.737976i | −0.301693 | − | 0.953405i | \(-0.597552\pi\) |
−0.976520 | + | 0.215429i | \(0.930885\pi\) | |||||||
\(920\) | −4.20372 | + | 2.17135i | −0.138592 | + | 0.0715872i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.82170 | − | 2.68437i | 0.158794 | − | 0.0884052i | ||||
\(923\) | 1.22540 | 0.0403345 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −21.1758 | −0.696256 | ||||||||
\(926\) | −13.6264 | + | 7.58620i | −0.447791 | + | 0.249298i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −15.8380 | − | 10.8731i | −0.519907 | − | 0.356927i | ||||
\(929\) | 35.1764 | + | 20.3091i | 1.15410 | + | 0.666319i | 0.949883 | − | 0.312606i | \(-0.101202\pi\) |
0.204216 | + | 0.978926i | \(0.434535\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −18.0262 | − | 15.2063i | −0.590786 | − | 0.498365i | ||||
\(932\) | −6.33268 | + | 3.39724i | −0.207434 | + | 0.111280i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −54.4611 | − | 0.849918i | −1.78202 | − | 0.0278102i | ||||
\(935\) | −0.764685 | − | 1.32447i | −0.0250079 | − | 0.0433149i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 15.8390 | 0.517437 | 0.258718 | − | 0.965953i | \(-0.416700\pi\) | ||||
0.258718 | + | 0.965953i | \(0.416700\pi\) | |||||||
\(938\) | 27.2547 | + | 19.7792i | 0.889898 | + | 0.645812i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0583023 | + | 1.86749i | −0.00190161 | + | 0.0609109i | ||||
\(941\) | −35.2983 | + | 20.3795i | −1.15069 | + | 0.664352i | −0.949056 | − | 0.315109i | \(-0.897959\pi\) |
−0.201636 | + | 0.979461i | \(0.564626\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.0236 | − | 19.6435i | −1.10796 | − | 0.639682i | ||||
\(944\) | 22.7368 | − | 34.2524i | 0.740021 | − | 1.11482i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.53006 | − | 3.90724i | −0.212310 | − | 0.127035i | ||||
\(947\) | −10.9987 | + | 19.0503i | −0.357411 | + | 0.619053i | −0.987527 | − | 0.157447i | \(-0.949674\pi\) |
0.630117 | + | 0.776500i | \(0.283007\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.274479 | − | 0.475412i | −0.00890997 | − | 0.0154325i | ||||
\(950\) | −20.3037 | + | 11.3036i | −0.658739 | + | 0.366739i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −42.4345 | + | 17.3542i | −1.37531 | + | 0.562454i | ||||
\(953\) | 23.9613i | 0.776184i | 0.921621 | + | 0.388092i | \(0.126866\pi\) | ||||
−0.921621 | + | 0.388092i | \(0.873134\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.77091 | − | 2.17714i | 0.122024 | − | 0.0704504i | ||||
\(956\) | −6.48206 | + | 10.4593i | −0.209645 | + | 0.338279i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.7621 | − | 17.9863i | 0.347706 | − | 0.581111i | ||||
\(959\) | 25.3923 | − | 11.8003i | 0.819961 | − | 0.381050i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.5000 | + | 26.8468i | −0.500000 | + | 0.866025i | ||||
\(962\) | 0.782552 | + | 0.0122125i | 0.0252305 | + | 0.000393747i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 25.0735 | + | 0.782784i | 0.807563 | + | 0.0252118i | ||||
\(965\) | − | 0.469343i | − | 0.0151087i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 53.1580i | 1.70945i | 0.519084 | + | 0.854723i | \(0.326273\pi\) | ||||
−0.519084 | + | 0.854723i | \(0.673727\pi\) | |||||||
\(968\) | −16.0245 | + | 24.9778i | −0.515048 | + | 0.802817i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.134057 | + | 8.59011i | −0.00430431 | + | 0.275812i | ||||
\(971\) | −20.7550 | + | 35.9488i | −0.666060 | + | 1.15365i | 0.312936 | + | 0.949774i | \(0.398687\pi\) |
−0.978997 | + | 0.203876i | \(0.934646\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.72641 | + | 30.7010i | −0.0874048 | + | 0.984227i | ||||
\(974\) | 10.4461 | + | 6.25042i | 0.334716 | + | 0.200276i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 22.6637 | + | 1.41648i | 0.725448 | + | 0.0453405i | ||||
\(977\) | −22.0401 | + | 12.7249i | −0.705127 | + | 0.407105i | −0.809254 | − | 0.587459i | \(-0.800128\pi\) |
0.104127 | + | 0.994564i | \(0.466795\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.41085i | 0.204892i | ||||||||
\(980\) | 4.66234 | − | 1.52048i | 0.148933 | − | 0.0485698i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.01832 | + | 10.8102i | 0.192052 | + | 0.344966i | ||||
\(983\) | 11.7347 | + | 20.3252i | 0.374280 | + | 0.648273i | 0.990219 | − | 0.139522i | \(-0.0445564\pi\) |
−0.615939 | + | 0.787794i | \(0.711223\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.11241 | + | 3.65879i | −0.0673068 | + | 0.116579i | ||||
\(986\) | −15.1078 | + | 25.2491i | −0.481129 | + | 0.804096i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.756843 | − | 0.406017i | 0.0240784 | − | 0.0129171i | ||||
\(989\) | 31.2265 | + | 18.0286i | 0.992945 | + | 0.573277i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 48.6218 | − | 28.0718i | 1.54452 | − | 0.891731i | 0.545979 | − | 0.837799i | \(-0.316158\pi\) |
0.998545 | − | 0.0539326i | \(-0.0171756\pi\) | |||||||
\(992\) | −0.00103085 | + | 0.0131853i | −3.27296e−5 | + | 0.000418632i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −14.6485 | − | 32.8531i | −0.464621 | − | 1.04204i | ||||
\(995\) | −4.15708 | −0.131788 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.9528 | − | 22.4350i | −0.410221 | − | 0.710523i | 0.584693 | − | 0.811255i | \(-0.301215\pi\) |
−0.994914 | + | 0.100732i | \(0.967882\pi\) | |||||||
\(998\) | 0.639951 | − | 41.0068i | 0.0202573 | − | 1.29805i | ||||
\(999\) | 0 | 0 |
(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 | 756.2.be.c.107.10 | yes | 28 | |
3.2 | odd | 2 | inner | 756.2.be.c.107.5 | ✓ | 28 | |
4.3 | odd | 2 | 756.2.be.d.107.14 | yes | 28 | ||
7.4 | even | 3 | 756.2.be.d.431.1 | yes | 28 | ||
12.11 | even | 2 | 756.2.be.d.107.1 | yes | 28 | ||
21.11 | odd | 6 | 756.2.be.d.431.14 | yes | 28 | ||
28.11 | odd | 6 | inner | 756.2.be.c.431.5 | yes | 28 | |
84.11 | even | 6 | inner | 756.2.be.c.431.10 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.be.c.107.5 | ✓ | 28 | 3.2 | odd | 2 | inner | |
756.2.be.c.107.10 | yes | 28 | 1.1 | even | 1 | trivial | |
756.2.be.c.431.5 | yes | 28 | 28.11 | odd | 6 | inner | |
756.2.be.c.431.10 | yes | 28 | 84.11 | even | 6 | inner | |
756.2.be.d.107.1 | yes | 28 | 12.11 | even | 2 | ||
756.2.be.d.107.14 | yes | 28 | 4.3 | odd | 2 | ||
756.2.be.d.431.1 | yes | 28 | 7.4 | even | 3 | ||
756.2.be.d.431.14 | yes | 28 | 21.11 | odd | 6 |