Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 31.5 | ||
Character | \(\chi\) | \(=\) | 150.31 |
Dual form | 150.6.g.d.121.5 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23607 | + | 3.80423i | 0.218508 | + | 0.672499i | ||||
\(3\) | 7.28115 | − | 5.29007i | 0.467086 | − | 0.339358i | ||||
\(4\) | −12.9443 | + | 9.40456i | −0.404508 | + | 0.293893i | ||||
\(5\) | 31.6852 | − | 46.0549i | 0.566801 | − | 0.823854i | ||||
\(6\) | 29.1246 | + | 21.1603i | 0.330280 | + | 0.239962i | ||||
\(7\) | 113.911 | 0.878657 | 0.439329 | − | 0.898326i | \(-0.355216\pi\) | ||||
0.439329 | + | 0.898326i | \(0.355216\pi\) | |||||||
\(8\) | −51.7771 | − | 37.6183i | −0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | − | 77.0356i | 0.103006 | − | 0.317019i | ||||
\(10\) | 214.368 | + | 63.6106i | 0.677892 | + | 0.201154i | ||||
\(11\) | −165.042 | − | 507.948i | −0.411257 | − | 1.26572i | −0.915556 | − | 0.402190i | \(-0.868249\pi\) |
0.504299 | − | 0.863529i | \(-0.331751\pi\) | |||||||
\(12\) | −44.4984 | + | 136.952i | −0.0892055 | + | 0.274546i | ||||
\(13\) | −89.1312 | + | 274.318i | −0.146275 | + | 0.450189i | −0.997173 | − | 0.0751425i | \(-0.976059\pi\) |
0.850897 | + | 0.525332i | \(0.176059\pi\) | |||||||
\(14\) | 140.801 | + | 433.342i | 0.191994 | + | 0.590896i | ||||
\(15\) | −12.9288 | − | 502.949i | −0.0148364 | − | 0.577160i | ||||
\(16\) | 79.1084 | − | 243.470i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −1188.89 | − | 863.782i | −0.997748 | − | 0.724906i | −0.0361435 | − | 0.999347i | \(-0.511507\pi\) |
−0.961604 | + | 0.274441i | \(0.911507\pi\) | |||||||
\(18\) | 324.000 | 0.235702 | ||||||||
\(19\) | 381.884 | + | 277.455i | 0.242688 | + | 0.176323i | 0.702480 | − | 0.711704i | \(-0.252076\pi\) |
−0.459792 | + | 0.888027i | \(0.652076\pi\) | |||||||
\(20\) | 22.9845 | + | 894.132i | 0.0128487 | + | 0.499835i | ||||
\(21\) | 829.401 | − | 602.595i | 0.410409 | − | 0.298179i | ||||
\(22\) | 1728.34 | − | 1255.72i | 0.761331 | − | 0.553139i | ||||
\(23\) | −366.911 | − | 1129.24i | −0.144624 | − | 0.445108i | 0.852338 | − | 0.522991i | \(-0.175184\pi\) |
−0.996963 | + | 0.0778830i | \(0.975184\pi\) | |||||||
\(24\) | −576.000 | −0.204124 | ||||||||
\(25\) | −1117.10 | − | 2918.51i | −0.357472 | − | 0.933924i | ||||
\(26\) | −1153.74 | −0.334714 | ||||||||
\(27\) | −225.273 | − | 693.320i | −0.0594703 | − | 0.183031i | ||||
\(28\) | −1474.49 | + | 1071.28i | −0.355424 | + | 0.258231i | ||||
\(29\) | 4172.74 | − | 3031.68i | 0.921354 | − | 0.669403i | −0.0225063 | − | 0.999747i | \(-0.507165\pi\) |
0.943861 | + | 0.330343i | \(0.107165\pi\) | |||||||
\(30\) | 1897.35 | − | 670.863i | 0.384897 | − | 0.136091i | ||||
\(31\) | 621.850 | + | 451.801i | 0.116220 | + | 0.0844389i | 0.644377 | − | 0.764708i | \(-0.277117\pi\) |
−0.528157 | + | 0.849147i | \(0.677117\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | −3888.77 | − | 2825.36i | −0.621624 | − | 0.451636i | ||||
\(34\) | 1816.47 | − | 5590.51i | 0.269482 | − | 0.829382i | ||||
\(35\) | 3609.28 | − | 5246.14i | 0.498024 | − | 0.723886i | ||||
\(36\) | 400.486 | + | 1232.57i | 0.0515028 | + | 0.158509i | ||||
\(37\) | 3313.56 | − | 10198.1i | 0.397915 | − | 1.22466i | −0.528754 | − | 0.848775i | \(-0.677341\pi\) |
0.926668 | − | 0.375880i | \(-0.122659\pi\) | |||||||
\(38\) | −583.467 | + | 1795.73i | −0.0655477 | + | 0.201735i | ||||
\(39\) | 802.181 | + | 2468.86i | 0.0844522 | + | 0.259917i | ||||
\(40\) | −3373.07 | + | 1192.65i | −0.333331 | + | 0.117859i | ||||
\(41\) | −5024.56 | + | 15464.0i | −0.466808 | + | 1.43669i | 0.389886 | + | 0.920863i | \(0.372514\pi\) |
−0.856694 | + | 0.515825i | \(0.827486\pi\) | |||||||
\(42\) | 3317.61 | + | 2410.38i | 0.290203 | + | 0.210845i | ||||
\(43\) | 17150.2 | 1.41449 | 0.707244 | − | 0.706970i | \(-0.249938\pi\) | ||||
0.707244 | + | 0.706970i | \(0.249938\pi\) | |||||||
\(44\) | 6913.38 | + | 5022.86i | 0.538342 | + | 0.391129i | ||||
\(45\) | −2754.77 | − | 3593.66i | −0.202794 | − | 0.264548i | ||||
\(46\) | 3842.35 | − | 2791.63i | 0.267733 | − | 0.194519i | ||||
\(47\) | −605.222 | + | 439.720i | −0.0399641 | + | 0.0290356i | −0.607588 | − | 0.794252i | \(-0.707863\pi\) |
0.567624 | + | 0.823288i | \(0.307863\pi\) | |||||||
\(48\) | −711.975 | − | 2191.23i | −0.0446028 | − | 0.137273i | ||||
\(49\) | −3831.35 | −0.227962 | ||||||||
\(50\) | 9721.87 | − | 7857.18i | 0.549952 | − | 0.444469i | ||||
\(51\) | −13226.0 | −0.712037 | ||||||||
\(52\) | −1426.10 | − | 4389.08i | −0.0731377 | − | 0.225095i | ||||
\(53\) | 20557.4 | − | 14935.8i | 1.00526 | − | 0.730363i | 0.0420490 | − | 0.999116i | \(-0.486611\pi\) |
0.963209 | + | 0.268753i | \(0.0866114\pi\) | |||||||
\(54\) | 2359.09 | − | 1713.98i | 0.110093 | − | 0.0799874i | ||||
\(55\) | −28622.8 | − | 8493.41i | −1.27587 | − | 0.378595i | ||||
\(56\) | −5897.96 | − | 4285.12i | −0.251323 | − | 0.182597i | ||||
\(57\) | 4248.31 | 0.173193 | ||||||||
\(58\) | 16691.0 | + | 12126.7i | 0.651496 | + | 0.473340i | ||||
\(59\) | 3020.05 | − | 9294.77i | 0.112950 | − | 0.347623i | −0.878564 | − | 0.477624i | \(-0.841498\pi\) |
0.991514 | + | 0.130001i | \(0.0414981\pi\) | |||||||
\(60\) | 4897.37 | + | 6388.72i | 0.175624 | + | 0.229106i | ||||
\(61\) | 8601.29 | + | 26472.1i | 0.295964 | + | 0.910884i | 0.982896 | + | 0.184162i | \(0.0589572\pi\) |
−0.686932 | + | 0.726722i | \(0.741043\pi\) | |||||||
\(62\) | −950.103 | + | 2924.12i | −0.0313900 | + | 0.0966085i | ||||
\(63\) | 2851.23 | − | 8775.18i | 0.0905067 | − | 0.278551i | ||||
\(64\) | 1265.73 | + | 3895.53i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 9809.52 | + | 12796.7i | 0.287981 | + | 0.375678i | ||||
\(66\) | 5941.52 | − | 18286.1i | 0.167895 | − | 0.516728i | ||||
\(67\) | −8231.16 | − | 5980.29i | −0.224014 | − | 0.162755i | 0.470118 | − | 0.882604i | \(-0.344211\pi\) |
−0.694131 | + | 0.719848i | \(0.744211\pi\) | |||||||
\(68\) | 23512.9 | 0.616642 | ||||||||
\(69\) | −8645.28 | − | 6281.16i | −0.218603 | − | 0.158824i | ||||
\(70\) | 24418.8 | + | 7245.93i | 0.595634 | + | 0.176746i | ||||
\(71\) | 58572.2 | − | 42555.2i | 1.37894 | − | 1.00186i | 0.381962 | − | 0.924178i | \(-0.375248\pi\) |
0.996978 | − | 0.0776808i | \(-0.0247515\pi\) | |||||||
\(72\) | −4193.94 | + | 3047.08i | −0.0953436 | + | 0.0692712i | ||||
\(73\) | 11841.2 | + | 36443.3i | 0.260068 | + | 0.800407i | 0.992789 | + | 0.119877i | \(0.0382502\pi\) |
−0.732721 | + | 0.680529i | \(0.761750\pi\) | |||||||
\(74\) | 42891.6 | 0.910526 | ||||||||
\(75\) | −23572.9 | − | 15340.6i | −0.483905 | − | 0.314912i | ||||
\(76\) | −7552.56 | −0.149989 | ||||||||
\(77\) | −18800.1 | − | 57860.7i | −0.361354 | − | 1.11213i | ||||
\(78\) | −8400.55 | + | 6103.35i | −0.156340 | + | 0.113588i | ||||
\(79\) | 1780.20 | − | 1293.39i | 0.0320923 | − | 0.0233165i | −0.571623 | − | 0.820516i | \(-0.693686\pi\) |
0.603716 | + | 0.797200i | \(0.293686\pi\) | |||||||
\(80\) | −8706.44 | − | 11357.7i | −0.152095 | − | 0.198411i | ||||
\(81\) | −5307.96 | − | 3856.46i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −65039.3 | −1.06817 | ||||||||
\(83\) | 1627.79 | + | 1182.66i | 0.0259361 | + | 0.0188437i | 0.600678 | − | 0.799491i | \(-0.294897\pi\) |
−0.574742 | + | 0.818335i | \(0.694897\pi\) | |||||||
\(84\) | −5068.85 | + | 15600.3i | −0.0783811 | + | 0.241232i | ||||
\(85\) | −77451.6 | + | 27385.3i | −1.16274 | + | 0.411121i | ||||
\(86\) | 21198.9 | + | 65243.4i | 0.309077 | + | 0.951241i | ||||
\(87\) | 14344.6 | − | 44148.2i | 0.203185 | − | 0.625338i | ||||
\(88\) | −10562.7 | + | 32508.6i | −0.145401 | + | 0.447499i | ||||
\(89\) | 15541.7 | + | 47832.4i | 0.207981 | + | 0.640099i | 0.999578 | + | 0.0290554i | \(0.00924993\pi\) |
−0.791597 | + | 0.611043i | \(0.790750\pi\) | |||||||
\(90\) | 10266.0 | − | 14921.8i | 0.133596 | − | 0.194184i | ||||
\(91\) | −10153.0 | + | 31247.7i | −0.128526 | + | 0.395562i | ||||
\(92\) | 15369.4 | + | 11166.5i | 0.189316 | + | 0.137546i | ||||
\(93\) | 6917.84 | 0.0829399 | ||||||||
\(94\) | −2420.89 | − | 1758.88i | −0.0282589 | − | 0.0205313i | ||||
\(95\) | 24878.2 | − | 8796.41i | 0.282820 | − | 0.0999992i | ||||
\(96\) | 7455.90 | − | 5417.03i | 0.0825700 | − | 0.0599906i | ||||
\(97\) | −55938.1 | + | 40641.4i | −0.603641 | + | 0.438571i | −0.847169 | − | 0.531323i | \(-0.821695\pi\) |
0.243528 | + | 0.969894i | \(0.421695\pi\) | |||||||
\(98\) | −4735.81 | − | 14575.3i | −0.0498114 | − | 0.153304i | ||||
\(99\) | −43261.1 | −0.443618 | ||||||||
\(100\) | 41907.4 | + | 27272.2i | 0.419074 | + | 0.272722i | ||||
\(101\) | −142547. | −1.39044 | −0.695222 | − | 0.718795i | \(-0.744694\pi\) | ||||
−0.695222 | + | 0.718795i | \(0.744694\pi\) | |||||||
\(102\) | −16348.2 | − | 50314.6i | −0.155586 | − | 0.478844i | ||||
\(103\) | −159295. | + | 115735.i | −1.47948 | + | 1.07491i | −0.501762 | + | 0.865006i | \(0.667315\pi\) |
−0.977722 | + | 0.209903i | \(0.932685\pi\) | |||||||
\(104\) | 14934.3 | − | 10850.4i | 0.135395 | − | 0.0983700i | ||||
\(105\) | −1472.73 | − | 57291.3i | −0.0130361 | − | 0.507125i | ||||
\(106\) | 82229.4 | + | 59743.2i | 0.710825 | + | 0.516445i | ||||
\(107\) | −172030. | −1.45260 | −0.726299 | − | 0.687379i | \(-0.758761\pi\) | ||||
−0.726299 | + | 0.687379i | \(0.758761\pi\) | |||||||
\(108\) | 9436.37 | + | 6855.93i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | 32350.9 | − | 99565.7i | 0.260807 | − | 0.802682i | −0.731822 | − | 0.681495i | \(-0.761330\pi\) |
0.992630 | − | 0.121187i | \(-0.0386700\pi\) | |||||||
\(110\) | −3068.93 | − | 119386.i | −0.0241828 | − | 0.940746i | ||||
\(111\) | −29822.0 | − | 91782.7i | −0.229736 | − | 0.707055i | ||||
\(112\) | 9011.29 | − | 27733.9i | 0.0678800 | − | 0.208913i | ||||
\(113\) | −20190.0 | + | 62138.3i | −0.148744 | + | 0.457787i | −0.997473 | − | 0.0710405i | \(-0.977368\pi\) |
0.848730 | + | 0.528827i | \(0.177368\pi\) | |||||||
\(114\) | 5251.20 | + | 16161.5i | 0.0378440 | + | 0.116472i | ||||
\(115\) | −63632.5 | − | 18882.0i | −0.448678 | − | 0.133139i | ||||
\(116\) | −25501.5 | + | 78485.7i | −0.175963 | + | 0.541559i | ||||
\(117\) | 18901.2 | + | 13732.5i | 0.127651 | + | 0.0927441i | ||||
\(118\) | 39092.4 | 0.258456 | ||||||||
\(119\) | −135428. | − | 98394.0i | −0.876678 | − | 0.636944i | ||||
\(120\) | −18250.7 | + | 26527.6i | −0.115698 | + | 0.168169i | ||||
\(121\) | −100479. | + | 73002.2i | −0.623895 | + | 0.453286i | ||||
\(122\) | −90073.9 | + | 65442.5i | −0.547898 | + | 0.398071i | ||||
\(123\) | 45221.0 | + | 139176.i | 0.269512 | + | 0.829472i | ||||
\(124\) | −12298.4 | −0.0718280 | ||||||||
\(125\) | −169807. | − | 41025.6i | −0.972033 | − | 0.234844i | ||||
\(126\) | 36907.1 | 0.207101 | ||||||||
\(127\) | 94969.4 | + | 292286.i | 0.522486 | + | 1.60805i | 0.769235 | + | 0.638966i | \(0.220637\pi\) |
−0.246750 | + | 0.969079i | \(0.579363\pi\) | |||||||
\(128\) | −13254.9 | + | 9630.27i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 124874. | − | 90725.9i | 0.660687 | − | 0.480017i | ||||
\(130\) | −36556.4 | + | 53135.3i | −0.189716 | + | 0.275756i | ||||
\(131\) | 171584. | + | 124663.i | 0.873571 | + | 0.634686i | 0.931543 | − | 0.363632i | \(-0.118463\pi\) |
−0.0579720 | + | 0.998318i | \(0.518463\pi\) | |||||||
\(132\) | 76908.6 | 0.384185 | ||||||||
\(133\) | 43500.7 | + | 31605.1i | 0.213239 | + | 0.154927i | ||||
\(134\) | 12576.1 | − | 38705.3i | 0.0605040 | − | 0.186212i | ||||
\(135\) | −39068.6 | − | 11593.0i | −0.184499 | − | 0.0547473i | ||||
\(136\) | 29063.5 | + | 89448.2i | 0.134741 | + | 0.414691i | ||||
\(137\) | 44177.9 | − | 135966.i | 0.201096 | − | 0.618910i | −0.798755 | − | 0.601656i | \(-0.794508\pi\) |
0.999851 | − | 0.0172539i | \(-0.00549235\pi\) | |||||||
\(138\) | 13208.8 | − | 40652.5i | 0.0590427 | − | 0.181715i | ||||
\(139\) | 67333.9 | + | 207232.i | 0.295595 | + | 0.909747i | 0.983021 | + | 0.183493i | \(0.0587405\pi\) |
−0.687426 | + | 0.726254i | \(0.741260\pi\) | |||||||
\(140\) | 2618.18 | + | 101851.i | 0.0112896 | + | 0.439184i | ||||
\(141\) | −2080.57 | + | 6403.33i | −0.00881321 | + | 0.0271243i | ||||
\(142\) | 234289. | + | 170221.i | 0.975058 | + | 0.708421i | ||||
\(143\) | 154049. | 0.629970 | ||||||||
\(144\) | −16775.8 | − | 12188.3i | −0.0674181 | − | 0.0489821i | ||||
\(145\) | −7409.33 | − | 288234.i | −0.0292657 | − | 1.13848i | ||||
\(146\) | −124002. | + | 90092.8i | −0.481445 | + | 0.349791i | ||||
\(147\) | −27896.6 | + | 20268.1i | −0.106478 | + | 0.0773606i | ||||
\(148\) | 53016.9 | + | 163169.i | 0.198957 | + | 0.612328i | ||||
\(149\) | 497873. | 1.83719 | 0.918593 | − | 0.395205i | \(-0.129326\pi\) | ||||
0.918593 | + | 0.395205i | \(0.129326\pi\) | |||||||
\(150\) | 29221.4 | − | 108639.i | 0.106041 | − | 0.394236i | ||||
\(151\) | −296256. | −1.05737 | −0.528683 | − | 0.848820i | \(-0.677314\pi\) | ||||
−0.528683 | + | 0.848820i | \(0.677314\pi\) | |||||||
\(152\) | −9335.47 | − | 28731.6i | −0.0327738 | − | 0.100868i | ||||
\(153\) | −96300.4 | + | 69966.3i | −0.332583 | + | 0.241635i | ||||
\(154\) | 196877. | − | 143039.i | 0.668949 | − | 0.486020i | ||||
\(155\) | 40511.1 | − | 14323.9i | 0.135439 | − | 0.0478884i | ||||
\(156\) | −33602.2 | − | 24413.4i | −0.110549 | − | 0.0803188i | ||||
\(157\) | 186019. | 0.602292 | 0.301146 | − | 0.953578i | \(-0.402631\pi\) | ||||
0.301146 | + | 0.953578i | \(0.402631\pi\) | |||||||
\(158\) | 7120.81 | + | 5173.57i | 0.0226927 | + | 0.0164872i | ||||
\(159\) | 70669.9 | − | 217500.i | 0.221688 | − | 0.682285i | ||||
\(160\) | 32445.6 | − | 47160.2i | 0.100197 | − | 0.145638i | ||||
\(161\) | −41795.1 | − | 128632.i | −0.127075 | − | 0.391098i | ||||
\(162\) | 8109.84 | − | 24959.5i | 0.0242787 | − | 0.0747221i | ||||
\(163\) | −61380.6 | + | 188910.i | −0.180951 | + | 0.556911i | −0.999855 | − | 0.0170197i | \(-0.994582\pi\) |
0.818904 | + | 0.573931i | \(0.194582\pi\) | |||||||
\(164\) | −80393.0 | − | 247424.i | −0.233404 | − | 0.718344i | ||||
\(165\) | −253338. | + | 89575.0i | −0.724420 | + | 0.256140i | ||||
\(166\) | −2487.05 | + | 7654.35i | −0.00700510 | + | 0.0215595i | ||||
\(167\) | −2134.10 | − | 1550.52i | −0.00592139 | − | 0.00430214i | 0.584821 | − | 0.811163i | \(-0.301165\pi\) |
−0.590742 | + | 0.806861i | \(0.701165\pi\) | |||||||
\(168\) | −65612.6 | −0.179355 | ||||||||
\(169\) | 233077. | + | 169340.i | 0.627743 | + | 0.456082i | ||||
\(170\) | −199915. | − | 260794.i | −0.530547 | − | 0.692109i | ||||
\(171\) | 30932.6 | − | 22473.9i | 0.0808959 | − | 0.0587743i | ||||
\(172\) | −221997. | + | 161291.i | −0.572172 | + | 0.415707i | ||||
\(173\) | 31968.8 | + | 98389.9i | 0.0812103 | + | 0.249940i | 0.983415 | − | 0.181368i | \(-0.0580524\pi\) |
−0.902205 | + | 0.431307i | \(0.858052\pi\) | |||||||
\(174\) | 185681. | 0.464936 | ||||||||
\(175\) | −127250. | − | 332450.i | −0.314095 | − | 0.820599i | ||||
\(176\) | −136726. | −0.332714 | ||||||||
\(177\) | −27180.5 | − | 83652.9i | −0.0652115 | − | 0.200700i | ||||
\(178\) | −162755. | + | 118248.i | −0.385020 | + | 0.279733i | ||||
\(179\) | 188118. | − | 136676.i | 0.438831 | − | 0.318830i | −0.346339 | − | 0.938109i | \(-0.612575\pi\) |
0.785170 | + | 0.619280i | \(0.212575\pi\) | |||||||
\(180\) | 69455.3 | + | 20609.8i | 0.159781 | + | 0.0474125i | ||||
\(181\) | −6126.57 | − | 4451.21i | −0.0139002 | − | 0.0100991i | 0.580813 | − | 0.814037i | \(-0.302735\pi\) |
−0.594714 | + | 0.803938i | \(0.702735\pi\) | |||||||
\(182\) | −131423. | −0.294099 | ||||||||
\(183\) | 202666. | + | 147246.i | 0.447357 | + | 0.325024i | ||||
\(184\) | −23482.3 | + | 72271.2i | −0.0511325 | + | 0.157370i | ||||
\(185\) | −364680. | − | 475733.i | −0.783399 | − | 1.02196i | ||||
\(186\) | 8550.93 | + | 26317.0i | 0.0181230 | + | 0.0557769i | ||||
\(187\) | −242538. | + | 746456.i | −0.507197 | + | 1.56099i | ||||
\(188\) | 3698.79 | − | 11383.7i | 0.00763247 | − | 0.0234903i | ||||
\(189\) | −25661.1 | − | 78976.6i | −0.0522540 | − | 0.160821i | ||||
\(190\) | 64214.7 | + | 83769.4i | 0.129048 | + | 0.168345i | ||||
\(191\) | 251349. | − | 773574.i | 0.498534 | − | 1.53433i | −0.312843 | − | 0.949805i | \(-0.601281\pi\) |
0.811377 | − | 0.584524i | \(-0.198719\pi\) | |||||||
\(192\) | 29823.6 | + | 21668.1i | 0.0583858 | + | 0.0424197i | ||||
\(193\) | 140786. | 0.272060 | 0.136030 | − | 0.990705i | \(-0.456566\pi\) | ||||
0.136030 | + | 0.990705i | \(0.456566\pi\) | |||||||
\(194\) | −223753. | − | 162566.i | −0.426839 | − | 0.310116i | ||||
\(195\) | 139120. | + | 41281.9i | 0.262001 | + | 0.0777451i | ||||
\(196\) | 49594.0 | − | 36032.2i | 0.0922124 | − | 0.0669962i | ||||
\(197\) | −205998. | + | 149666.i | −0.378179 | + | 0.274763i | −0.760594 | − | 0.649227i | \(-0.775092\pi\) |
0.382415 | + | 0.923991i | \(0.375092\pi\) | |||||||
\(198\) | −53473.7 | − | 164575.i | −0.0969342 | − | 0.298333i | ||||
\(199\) | 132678. | 0.237502 | 0.118751 | − | 0.992924i | \(-0.462111\pi\) | ||||
0.118751 | + | 0.992924i | \(0.462111\pi\) | |||||||
\(200\) | −51949.1 | + | 193135.i | −0.0918339 | + | 0.341418i | ||||
\(201\) | −91568.5 | −0.159866 | ||||||||
\(202\) | −176197. | − | 542280.i | −0.303823 | − | 0.935072i | ||||
\(203\) | 475320. | − | 345340.i | 0.809555 | − | 0.588176i | ||||
\(204\) | 171201. | − | 124385.i | 0.288025 | − | 0.209262i | ||||
\(205\) | 552989. | + | 721385.i | 0.919034 | + | 1.19890i | ||||
\(206\) | −637182. | − | 462940.i | −1.04615 | − | 0.760075i | ||||
\(207\) | −96175.4 | −0.156005 | ||||||||
\(208\) | 59737.2 | + | 43401.6i | 0.0957385 | + | 0.0695581i | ||||
\(209\) | 77905.7 | − | 239769.i | 0.123368 | − | 0.379688i | ||||
\(210\) | 216129. | − | 76418.5i | 0.338193 | − | 0.119578i | ||||
\(211\) | −198525. | − | 610996.i | −0.306979 | − | 0.944783i | −0.978931 | − | 0.204189i | \(-0.934544\pi\) |
0.671953 | − | 0.740594i | \(-0.265456\pi\) | |||||||
\(212\) | −125635. | + | 386666.i | −0.191987 | + | 0.590876i | ||||
\(213\) | 201353. | − | 619702.i | 0.304095 | − | 0.935909i | ||||
\(214\) | −212641. | − | 654442.i | −0.317404 | − | 0.976869i | ||||
\(215\) | 543408. | − | 789852.i | 0.801733 | − | 1.16533i | ||||
\(216\) | −14417.5 | + | 44372.5i | −0.0210259 | + | 0.0647112i | ||||
\(217\) | 70835.4 | + | 51464.9i | 0.102118 | + | 0.0741929i | ||||
\(218\) | 418758. | 0.596791 | ||||||||
\(219\) | 279005. | + | 202709.i | 0.393099 | + | 0.285603i | ||||
\(220\) | 450379. | − | 159244.i | 0.627366 | − | 0.221823i | ||||
\(221\) | 342918. | − | 249145.i | 0.472291 | − | 0.343140i | ||||
\(222\) | 312300. | − | 226899.i | 0.425294 | − | 0.308994i | ||||
\(223\) | 116926. | + | 359863.i | 0.157453 | + | 0.484590i | 0.998401 | − | 0.0565253i | \(-0.0180022\pi\) |
−0.840948 | + | 0.541116i | \(0.818002\pi\) | |||||||
\(224\) | 116645. | 0.155326 | ||||||||
\(225\) | −252791. | + | 13005.0i | −0.332893 | + | 0.0171260i | ||||
\(226\) | −261344. | −0.340363 | ||||||||
\(227\) | 381492. | + | 1.17411e6i | 0.491383 | + | 1.51232i | 0.822518 | + | 0.568739i | \(0.192569\pi\) |
−0.331135 | + | 0.943584i | \(0.607431\pi\) | |||||||
\(228\) | −54991.3 | + | 39953.5i | −0.0700579 | + | 0.0509000i | ||||
\(229\) | 1.00471e6 | − | 729962.i | 1.26605 | − | 0.919838i | 0.267010 | − | 0.963694i | \(-0.413964\pi\) |
0.999038 | + | 0.0438558i | \(0.0139642\pi\) | |||||||
\(230\) | −6822.66 | − | 265412.i | −0.00850421 | − | 0.330827i | ||||
\(231\) | −442973. | − | 321839.i | −0.546195 | − | 0.396834i | ||||
\(232\) | −330099. | −0.402647 | ||||||||
\(233\) | 1.13082e6 | + | 821586.i | 1.36459 | + | 0.991432i | 0.998138 | + | 0.0609950i | \(0.0194274\pi\) |
0.366451 | + | 0.930437i | \(0.380573\pi\) | |||||||
\(234\) | −28878.5 | + | 88878.9i | −0.0344774 | + | 0.106111i | ||||
\(235\) | 1074.66 | + | 41806.0i | 0.00126941 | + | 0.0493820i | ||||
\(236\) | 48320.9 | + | 148716.i | 0.0564748 | + | 0.173812i | ||||
\(237\) | 6119.79 | − | 18834.8i | 0.00707727 | − | 0.0217816i | ||||
\(238\) | 206915. | − | 636819.i | 0.236783 | − | 0.728742i | ||||
\(239\) | 245992. | + | 757084.i | 0.278564 | + | 0.857333i | 0.988254 | + | 0.152819i | \(0.0488351\pi\) |
−0.709690 | + | 0.704514i | \(0.751165\pi\) | |||||||
\(240\) | −123476. | − | 36639.7i | −0.138374 | − | 0.0410605i | ||||
\(241\) | −321400. | + | 989167.i | −0.356454 | + | 1.09705i | 0.598708 | + | 0.800967i | \(0.295681\pi\) |
−0.955162 | + | 0.296085i | \(0.904319\pi\) | |||||||
\(242\) | −401916. | − | 292009.i | −0.441160 | − | 0.320522i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | −360296. | − | 261770.i | −0.387422 | − | 0.281479i | ||||
\(245\) | −121397. | + | 176452.i | −0.129209 | + | 0.187807i | ||||
\(246\) | −473561. | + | 344062.i | −0.498928 | + | 0.362493i | ||||
\(247\) | −110149. | + | 80027.7i | −0.114878 | + | 0.0834637i | ||||
\(248\) | −15201.6 | − | 46785.9i | −0.0156950 | − | 0.0483043i | ||||
\(249\) | 18108.6 | 0.0185091 | ||||||||
\(250\) | −53822.5 | − | 696695.i | −0.0544645 | − | 0.705006i | ||||
\(251\) | −1.32104e6 | −1.32352 | −0.661761 | − | 0.749715i | \(-0.730191\pi\) | ||||
−0.661761 | + | 0.749715i | \(0.730191\pi\) | |||||||
\(252\) | 45619.6 | + | 140403.i | 0.0452533 | + | 0.139275i | ||||
\(253\) | −513038. | + | 372744.i | −0.503904 | + | 0.366108i | ||||
\(254\) | −994532. | + | 722570.i | −0.967241 | + | 0.702741i | ||||
\(255\) | −419067. | + | 609121.i | −0.403583 | + | 0.586615i | ||||
\(256\) | −53019.7 | − | 38521.1i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 1.15312e6 | 1.08903 | 0.544516 | − | 0.838750i | \(-0.316713\pi\) | ||||
0.544516 | + | 0.838750i | \(0.316713\pi\) | |||||||
\(258\) | 499494. | + | 362904.i | 0.467177 | + | 0.339424i | ||||
\(259\) | 377449. | − | 1.16167e6i | 0.349631 | − | 1.07605i | ||||
\(260\) | −247325. | − | 73390.0i | −0.226900 | − | 0.0673292i | ||||
\(261\) | −129102. | − | 397334.i | −0.117309 | − | 0.361039i | ||||
\(262\) | −262157. | + | 806835.i | −0.235943 | + | 0.726159i | ||||
\(263\) | 100180. | − | 308322.i | 0.0893080 | − | 0.274862i | −0.896421 | − | 0.443205i | \(-0.853842\pi\) |
0.985729 | + | 0.168343i | \(0.0538415\pi\) | |||||||
\(264\) | 95064.3 | + | 292578.i | 0.0839475 | + | 0.258364i | ||||
\(265\) | −36502.7 | − | 1.42001e6i | −0.0319308 | − | 1.24216i | ||||
\(266\) | −66463.2 | + | 204553.i | −0.0575940 | + | 0.177256i | ||||
\(267\) | 366198. | + | 266058.i | 0.314368 | + | 0.228401i | ||||
\(268\) | 162788. | 0.138448 | ||||||||
\(269\) | 351944. | + | 255702.i | 0.296546 | + | 0.215454i | 0.726102 | − | 0.687587i | \(-0.241330\pi\) |
−0.429556 | + | 0.903040i | \(0.641330\pi\) | |||||||
\(270\) | −4188.92 | − | 162956.i | −0.00349698 | − | 0.136038i | ||||
\(271\) | −650876. | + | 472889.i | −0.538363 | + | 0.391144i | −0.823477 | − | 0.567350i | \(-0.807969\pi\) |
0.285114 | + | 0.958494i | \(0.407969\pi\) | |||||||
\(272\) | −304357. | + | 221128.i | −0.249437 | + | 0.181227i | ||||
\(273\) | 91377.0 | + | 281229.i | 0.0742045 | + | 0.228378i | ||||
\(274\) | 571851. | 0.460157 | ||||||||
\(275\) | −1.29808e6 | + | 1.04911e6i | −1.03507 | + | 0.836542i | ||||
\(276\) | 170978. | 0.135104 | ||||||||
\(277\) | 363599. | + | 1.11904e6i | 0.284723 | + | 0.876288i | 0.986481 | + | 0.163873i | \(0.0523986\pi\) |
−0.701758 | + | 0.712415i | \(0.747601\pi\) | |||||||
\(278\) | −705130. | + | 512307.i | −0.547214 | + | 0.397574i | ||||
\(279\) | 50369.9 | − | 36595.9i | 0.0387401 | − | 0.0281463i | ||||
\(280\) | −384229. | + | 135855.i | −0.292883 | + | 0.103557i | ||||
\(281\) | −2.08582e6 | − | 1.51544e6i | −1.57584 | − | 1.14491i | −0.921278 | − | 0.388904i | \(-0.872854\pi\) |
−0.654560 | − | 0.756010i | \(-0.727146\pi\) | |||||||
\(282\) | −26931.4 | −0.0201668 | ||||||||
\(283\) | −1.21273e6 | − | 881102.i | −0.900117 | − | 0.653973i | 0.0383792 | − | 0.999263i | \(-0.487781\pi\) |
−0.938496 | + | 0.345290i | \(0.887781\pi\) | |||||||
\(284\) | −357961. | + | 1.10169e6i | −0.263354 | + | 0.810521i | ||||
\(285\) | 134609. | − | 195655.i | 0.0981658 | − | 0.142686i | ||||
\(286\) | 190416. | + | 586039.i | 0.137654 | + | 0.423654i | ||||
\(287\) | −572351. | + | 1.76152e6i | −0.410164 | + | 1.26236i | ||||
\(288\) | 25631.1 | − | 78884.4i | 0.0182090 | − | 0.0560415i | ||||
\(289\) | 228589. | + | 703525.i | 0.160994 | + | 0.495490i | ||||
\(290\) | 1.08735e6 | − | 384464.i | 0.759232 | − | 0.268448i | ||||
\(291\) | −192298. | + | 591833.i | −0.133120 | + | 0.409701i | ||||
\(292\) | −496009. | − | 360371.i | −0.340433 | − | 0.247339i | ||||
\(293\) | 2.31456e6 | 1.57507 | 0.787535 | − | 0.616270i | \(-0.211357\pi\) | ||||
0.787535 | + | 0.616270i | \(0.211357\pi\) | |||||||
\(294\) | −111587. | − | 81072.4i | −0.0752911 | − | 0.0547022i | ||||
\(295\) | −332378. | − | 433595.i | −0.222371 | − | 0.290087i | ||||
\(296\) | −555200. | + | 403376.i | −0.368316 | + | 0.267597i | ||||
\(297\) | −314991. | + | 228854.i | −0.207208 | + | 0.150545i | ||||
\(298\) | 615405. | + | 1.89402e6i | 0.401440 | + | 1.23550i | ||||
\(299\) | 342473. | 0.221538 | ||||||||
\(300\) | 449406. | − | 23120.1i | 0.288294 | − | 0.0148315i | ||||
\(301\) | 1.95360e6 | 1.24285 | ||||||||
\(302\) | −366193. | − | 1.12703e6i | −0.231043 | − | 0.711077i | ||||
\(303\) | −1.03790e6 | + | 754081.i | −0.649457 | + | 0.471858i | ||||
\(304\) | 97762.4 | − | 71028.5i | 0.0606719 | − | 0.0440807i | ||||
\(305\) | 1.49170e6 | + | 442640.i | 0.918189 | + | 0.272459i | ||||
\(306\) | −385202. | − | 279865.i | −0.235171 | − | 0.170862i | ||||
\(307\) | −2.63378e6 | −1.59490 | −0.797449 | − | 0.603386i | \(-0.793818\pi\) | ||||
−0.797449 | + | 0.603386i | \(0.793818\pi\) | |||||||
\(308\) | 787508. | + | 572158.i | 0.473018 | + | 0.343668i | ||||
\(309\) | −547609. | + | 1.68537e6i | −0.326268 | + | 1.00415i | ||||
\(310\) | 104566. | + | 136408.i | 0.0617994 | + | 0.0806186i | ||||
\(311\) | 455620. | + | 1.40225e6i | 0.267117 | + | 0.822102i | 0.991198 | + | 0.132387i | \(0.0422641\pi\) |
−0.724081 | + | 0.689715i | \(0.757736\pi\) | |||||||
\(312\) | 51339.6 | − | 158007.i | 0.0298583 | − | 0.0918945i | ||||
\(313\) | 383322. | − | 1.17974e6i | 0.221158 | − | 0.680655i | −0.777501 | − | 0.628882i | \(-0.783513\pi\) |
0.998659 | − | 0.0517727i | \(-0.0164871\pi\) | |||||||
\(314\) | 229932. | + | 707657.i | 0.131606 | + | 0.405041i | ||||
\(315\) | −313798. | − | 409356.i | −0.178186 | − | 0.232447i | ||||
\(316\) | −10879.6 | + | 33484.0i | −0.00612909 | + | 0.0188634i | ||||
\(317\) | 1.55057e6 | + | 1.12655e6i | 0.866648 | + | 0.629657i | 0.929685 | − | 0.368354i | \(-0.120079\pi\) |
−0.0630372 | + | 0.998011i | \(0.520079\pi\) | |||||||
\(318\) | 914771. | 0.507276 | ||||||||
\(319\) | −2.22861e6 | − | 1.61918e6i | −1.22619 | − | 0.890879i | ||||
\(320\) | 219513. | + | 65137.2i | 0.119835 | + | 0.0355594i | ||||
\(321\) | −1.25258e6 | + | 910051.i | −0.678488 | + | 0.492950i | ||||
\(322\) | 437684. | − | 317996.i | 0.235246 | − | 0.170916i | ||||
\(323\) | −214359. | − | 659729.i | −0.114323 | − | 0.351852i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 900168. | − | 46309.9i | 0.472732 | − | 0.0243201i | ||||
\(326\) | −794527. | −0.414061 | ||||||||
\(327\) | −291158. | − | 896092.i | −0.150577 | − | 0.463429i | ||||
\(328\) | 841886. | − | 611666.i | 0.432085 | − | 0.313928i | ||||
\(329\) | −68941.3 | + | 50088.8i | −0.0351147 | + | 0.0255124i | ||||
\(330\) | −653906. | − | 853034.i | −0.330545 | − | 0.431203i | ||||
\(331\) | −1.17108e6 | − | 850838.i | −0.587511 | − | 0.426852i | 0.253913 | − | 0.967227i | \(-0.418282\pi\) |
−0.841424 | + | 0.540375i | \(0.818282\pi\) | |||||||
\(332\) | −32193.0 | −0.0160294 | ||||||||
\(333\) | −702675. | − | 510523.i | −0.347251 | − | 0.252293i | ||||
\(334\) | 3260.62 | − | 10035.1i | 0.00159931 | − | 0.00492218i | ||||
\(335\) | −536227. | + | 189599.i | −0.261058 | + | 0.0923046i | ||||
\(336\) | −81101.6 | − | 249605.i | −0.0391905 | − | 0.120616i | ||||
\(337\) | −462184. | + | 1.42245e6i | −0.221687 | + | 0.682282i | 0.776924 | + | 0.629594i | \(0.216779\pi\) |
−0.998611 | + | 0.0526877i | \(0.983221\pi\) | |||||||
\(338\) | −356109. | + | 1.09599e6i | −0.169548 | + | 0.521814i | ||||
\(339\) | 181710. | + | 559245.i | 0.0858773 | + | 0.264303i | ||||
\(340\) | 745009. | − | 1.08288e6i | 0.349514 | − | 0.508023i | ||||
\(341\) | 126860. | − | 390434.i | 0.0590796 | − | 0.181828i | ||||
\(342\) | 123730. | + | 89895.5i | 0.0572020 | + | 0.0415597i | ||||
\(343\) | −2.35093e6 | −1.07896 | ||||||||
\(344\) | −887989. | − | 645162.i | −0.404587 | − | 0.293949i | ||||
\(345\) | −563205. | + | 199137.i | −0.254753 | + | 0.0900752i | ||||
\(346\) | −334782. | + | 243233.i | −0.150339 | + | 0.109228i | ||||
\(347\) | −1.55289e6 | + | 1.12824e6i | −0.692335 | + | 0.503011i | −0.877427 | − | 0.479710i | \(-0.840742\pi\) |
0.185092 | + | 0.982721i | \(0.440742\pi\) | |||||||
\(348\) | 229514. | + | 706371.i | 0.101592 | + | 0.312669i | ||||
\(349\) | 1.75842e6 | 0.772785 | 0.386393 | − | 0.922334i | \(-0.373721\pi\) | ||||
0.386393 | + | 0.922334i | \(0.373721\pi\) | |||||||
\(350\) | 1.10742e6 | − | 895017.i | 0.483219 | − | 0.390536i | ||||
\(351\) | 210269. | 0.0910976 | ||||||||
\(352\) | −169003. | − | 520138.i | −0.0727006 | − | 0.223750i | ||||
\(353\) | 1.70701e6 | − | 1.24022e6i | 0.729122 | − | 0.529738i | −0.160164 | − | 0.987090i | \(-0.551202\pi\) |
0.889286 | + | 0.457352i | \(0.151202\pi\) | |||||||
\(354\) | 284638. | − | 206801.i | 0.120721 | − | 0.0877092i | ||||
\(355\) | −104004. | − | 4.04590e6i | −0.0438004 | − | 1.70390i | ||||
\(356\) | −651019. | − | 472993.i | −0.272250 | − | 0.197801i | ||||
\(357\) | −1.50658e6 | −0.625636 | ||||||||
\(358\) | 752472. | + | 546703.i | 0.310301 | + | 0.225447i | ||||
\(359\) | 22543.0 | − | 69380.1i | 0.00923156 | − | 0.0284118i | −0.946335 | − | 0.323188i | \(-0.895245\pi\) |
0.955566 | + | 0.294777i | \(0.0952452\pi\) | |||||||
\(360\) | 7446.97 | + | 289699.i | 0.00302847 | + | 0.117812i | ||||
\(361\) | −696302. | − | 2.14300e6i | −0.281209 | − | 0.865474i | ||||
\(362\) | 9360.56 | − | 28808.8i | 0.00375431 | − | 0.0115546i | ||||
\(363\) | −345416. | + | 1.06308e6i | −0.137586 | + | 0.423447i | ||||
\(364\) | −162448. | − | 499963.i | −0.0642630 | − | 0.197781i | ||||
\(365\) | 2.05358e6 | + | 609370.i | 0.806826 | + | 0.239414i | ||||
\(366\) | −309647. | + | 952994.i | −0.120827 | + | 0.371867i | ||||
\(367\) | 696475. | + | 506019.i | 0.269923 | + | 0.196111i | 0.714510 | − | 0.699625i | \(-0.246650\pi\) |
−0.444587 | + | 0.895736i | \(0.646650\pi\) | |||||||
\(368\) | −303962. | −0.117004 | ||||||||
\(369\) | 1.06551e6 | + | 774140.i | 0.407373 | + | 0.295974i | ||||
\(370\) | 1.35903e6 | − | 1.97536e6i | 0.516088 | − | 0.750141i | ||||
\(371\) | 2.34170e6 | − | 1.70135e6i | 0.883277 | − | 0.641739i | ||||
\(372\) | −89546.5 | + | 65059.3i | −0.0335499 | + | 0.0243754i | ||||
\(373\) | −429980. | − | 1.32334e6i | −0.160021 | − | 0.492493i | 0.838614 | − | 0.544726i | \(-0.183366\pi\) |
−0.998635 | + | 0.0522329i | \(0.983366\pi\) | |||||||
\(374\) | −3.13948e6 | −1.16059 | ||||||||
\(375\) | −1.45342e6 | + | 599578.i | −0.533719 | + | 0.220175i | ||||
\(376\) | 47878.1 | 0.0174650 | ||||||||
\(377\) | 459720. | + | 1.41487e6i | 0.166587 | + | 0.512701i | ||||
\(378\) | 268726. | − | 195241.i | 0.0967342 | − | 0.0702815i | ||||
\(379\) | 113073. | − | 82152.5i | 0.0404354 | − | 0.0293780i | −0.567384 | − | 0.823453i | \(-0.692044\pi\) |
0.607819 | + | 0.794075i | \(0.292044\pi\) | |||||||
\(380\) | −239304. | + | 347832.i | −0.0850141 | + | 0.123569i | ||||
\(381\) | 2.23770e6 | + | 1.62578e6i | 0.789749 | + | 0.573786i | ||||
\(382\) | 3.25353e6 | 1.14077 | ||||||||
\(383\) | 412257. | + | 299522.i | 0.143606 | + | 0.104336i | 0.657268 | − | 0.753657i | \(-0.271712\pi\) |
−0.513663 | + | 0.857992i | \(0.671712\pi\) | |||||||
\(384\) | −45566.4 | + | 140239.i | −0.0157695 | + | 0.0485334i | ||||
\(385\) | −3.26045e6 | − | 967490.i | −1.12105 | − | 0.332656i | ||||
\(386\) | 174021. | + | 535581.i | 0.0594474 | + | 0.182960i | ||||
\(387\) | 429277. | − | 1.32118e6i | 0.145700 | − | 0.448419i | ||||
\(388\) | 341863. | − | 1.05215e6i | 0.115285 | − | 0.354811i | ||||
\(389\) | −901260. | − | 2.77379e6i | −0.301979 | − | 0.929394i | −0.980787 | − | 0.195079i | \(-0.937504\pi\) |
0.678809 | − | 0.734315i | \(-0.262496\pi\) | |||||||
\(390\) | 14916.4 | + | 580272.i | 0.00496596 | + | 0.193183i | ||||
\(391\) | −539196. | + | 1.65947e6i | −0.178363 | + | 0.548945i | ||||
\(392\) | 198376. | + | 144129.i | 0.0652040 | + | 0.0473735i | ||||
\(393\) | 1.90880e6 | 0.623419 | ||||||||
\(394\) | −823992. | − | 598665.i | −0.267413 | − | 0.194287i | ||||
\(395\) | −3161.01 | − | 122968.i | −0.00101937 | − | 0.0396552i | ||||
\(396\) | 559984. | − | 406852.i | 0.179447 | − | 0.130376i | ||||
\(397\) | 1.77605e6 | − | 1.29038e6i | 0.565561 | − | 0.410904i | −0.267929 | − | 0.963439i | \(-0.586339\pi\) |
0.833490 | + | 0.552535i | \(0.186339\pi\) | |||||||
\(398\) | 164000. | + | 504739.i | 0.0518961 | + | 0.159720i | ||||
\(399\) | 483928. | 0.152177 | ||||||||
\(400\) | −798943. | + | 41102.3i | −0.249670 | + | 0.0128445i | ||||
\(401\) | 2.81838e6 | 0.875263 | 0.437631 | − | 0.899154i | \(-0.355817\pi\) | ||||
0.437631 | + | 0.899154i | \(0.355817\pi\) | |||||||
\(402\) | −113185. | − | 348347.i | −0.0349320 | − | 0.107510i | ||||
\(403\) | −179363. | + | 130315.i | −0.0550137 | + | 0.0399698i | ||||
\(404\) | 1.84516e6 | − | 1.34059e6i | 0.562447 | − | 0.408641i | ||||
\(405\) | −345792. | + | 122265.i | −0.104756 | + | 0.0370394i | ||||
\(406\) | 1.90128e6 | + | 1.38136e6i | 0.572442 | + | 0.415903i | ||||
\(407\) | −5.72696e6 | −1.71371 | ||||||||
\(408\) | 684803. | + | 497538.i | 0.203664 | + | 0.147971i | ||||
\(409\) | 1.30964e6 | − | 4.03067e6i | 0.387119 | − | 1.19143i | −0.547812 | − | 0.836601i | \(-0.684539\pi\) |
0.934931 | − | 0.354829i | \(-0.115461\pi\) | |||||||
\(410\) | −2.06078e6 | + | 2.99538e6i | −0.605441 | + | 0.880018i | ||||
\(411\) | −397601. | − | 1.22369e6i | −0.116103 | − | 0.357328i | ||||
\(412\) | 973527. | − | 2.99621e6i | 0.282556 | − | 0.869619i | ||||
\(413\) | 344017. | − | 1.05877e6i | 0.0992440 | − | 0.305442i | ||||
\(414\) | −118879. | − | 365873.i | −0.0340883 | − | 0.104913i | ||||
\(415\) | 106044. | − | 37495.0i | 0.0302250 | − | 0.0106869i | ||||
\(416\) | −91270.3 | + | 280901.i | −0.0258581 | + | 0.0795830i | ||||
\(417\) | 1.58654e6 | + | 1.15269e6i | 0.446798 | + | 0.324618i | ||||
\(418\) | 1.00843e6 | 0.282297 | ||||||||
\(419\) | −1.21471e6 | − | 882538.i | −0.338016 | − | 0.245583i | 0.405808 | − | 0.913958i | \(-0.366990\pi\) |
−0.743824 | + | 0.668375i | \(0.766990\pi\) | |||||||
\(420\) | 557863. | + | 727744.i | 0.154314 | + | 0.201305i | ||||
\(421\) | 1.51719e6 | − | 1.10230e6i | 0.417189 | − | 0.303106i | −0.359317 | − | 0.933216i | \(-0.616990\pi\) |
0.776506 | + | 0.630110i | \(0.216990\pi\) | |||||||
\(422\) | 2.07898e6 | − | 1.51046e6i | 0.568288 | − | 0.412885i | ||||
\(423\) | 18725.1 | + | 57630.0i | 0.00508831 | + | 0.0156602i | ||||
\(424\) | −1.62626e6 | −0.439314 | ||||||||
\(425\) | −1.19284e6 | + | 4.43473e6i | −0.320340 | + | 1.19095i | ||||
\(426\) | 2.60637e6 | 0.695845 | ||||||||
\(427\) | 979780. | + | 3.01545e6i | 0.260051 | + | 0.800355i | ||||
\(428\) | 2.22681e6 | − | 1.61787e6i | 0.587588 | − | 0.426908i | ||||
\(429\) | 1.12166e6 | − | 814932.i | 0.294250 | − | 0.213785i | ||||
\(430\) | 3.67646e6 | + | 1.09094e6i | 0.958869 | + | 0.284530i | ||||
\(431\) | −4.50346e6 | − | 3.27195e6i | −1.16776 | − | 0.848426i | −0.177019 | − | 0.984207i | \(-0.556645\pi\) |
−0.990739 | + | 0.135782i | \(0.956645\pi\) | |||||||
\(432\) | −186624. | −0.0481125 | ||||||||
\(433\) | −2.79471e6 | − | 2.03048e6i | −0.716337 | − | 0.520449i | 0.168875 | − | 0.985637i | \(-0.445987\pi\) |
−0.885212 | + | 0.465188i | \(0.845987\pi\) | |||||||
\(434\) | −108227. | + | 333088.i | −0.0275811 | + | 0.0848858i | ||||
\(435\) | −1.57873e6 | − | 2.05948e6i | −0.400022 | − | 0.521837i | ||||
\(436\) | 517614. | + | 1.59305e6i | 0.130404 | + | 0.401341i | ||||
\(437\) | 173195. | − | 533039.i | 0.0433842 | − | 0.133523i | ||||
\(438\) | −426282. | + | 1.31196e6i | −0.106172 | + | 0.326765i | ||||
\(439\) | 1.17266e6 | + | 3.60908e6i | 0.290410 | + | 0.893790i | 0.984725 | + | 0.174119i | \(0.0557076\pi\) |
−0.694315 | + | 0.719672i | \(0.744292\pi\) | |||||||
\(440\) | 1.16250e6 | + | 1.51651e6i | 0.286260 | + | 0.373433i | ||||
\(441\) | −95900.1 | + | 295150.i | −0.0234813 | + | 0.0722681i | ||||
\(442\) | 1.37167e6 | + | 996578.i | 0.333960 | + | 0.242636i | ||||
\(443\) | −5.05153e6 | −1.22296 | −0.611482 | − | 0.791258i | \(-0.709426\pi\) | ||||
−0.611482 | + | 0.791258i | \(0.709426\pi\) | |||||||
\(444\) | 1.24920e6 | + | 907597.i | 0.300728 | + | 0.218492i | ||||
\(445\) | 2.69535e6 | + | 799807.i | 0.645232 | + | 0.191463i | ||||
\(446\) | −1.22447e6 | + | 889629.i | −0.291481 | + | 0.211774i | ||||
\(447\) | 3.62509e6 | − | 2.63378e6i | 0.858124 | − | 0.623464i | ||||
\(448\) | 144181. | + | 443742.i | 0.0339400 | + | 0.104457i | ||||
\(449\) | 2.58164e6 | 0.604338 | 0.302169 | − | 0.953254i | \(-0.402289\pi\) | ||||
0.302169 | + | 0.953254i | \(0.402289\pi\) | |||||||
\(450\) | −361941. | − | 945598.i | −0.0842570 | − | 0.220128i | ||||
\(451\) | 8.68417e6 | 2.01042 | ||||||||
\(452\) | −323039. | − | 994213.i | −0.0743720 | − | 0.228893i | ||||
\(453\) | −2.15709e6 | + | 1.56722e6i | −0.493881 | + | 0.358825i | ||||
\(454\) | −3.99503e6 | + | 2.90256e6i | −0.909664 | + | 0.660909i | ||||
\(455\) | 1.11741e6 | + | 1.45768e6i | 0.253037 | + | 0.330092i | ||||
\(456\) | −219965. | − | 159814.i | −0.0495384 | − | 0.0359918i | ||||
\(457\) | −5.15690e6 | −1.15504 | −0.577522 | − | 0.816375i | \(-0.695980\pi\) | ||||
−0.577522 | + | 0.816375i | \(0.695980\pi\) | |||||||
\(458\) | 4.01882e6 | + | 2.91985e6i | 0.895231 | + | 0.650424i | ||||
\(459\) | −331051. | + | 1.01887e6i | −0.0733438 | + | 0.225729i | ||||
\(460\) | 1.00125e6 | − | 354022.i | 0.220622 | − | 0.0780074i | ||||
\(461\) | −2.06380e6 | − | 6.35172e6i | −0.452288 | − | 1.39200i | −0.874290 | − | 0.485404i | \(-0.838672\pi\) |
0.422002 | − | 0.906595i | \(-0.361328\pi\) | |||||||
\(462\) | 676803. | − | 2.08298e6i | 0.147522 | − | 0.454026i | ||||
\(463\) | −818846. | + | 2.52015e6i | −0.177521 | + | 0.546353i | −0.999740 | − | 0.0228184i | \(-0.992736\pi\) |
0.822219 | + | 0.569172i | \(0.192736\pi\) | |||||||
\(464\) | −408025. | − | 1.25577e6i | −0.0879815 | − | 0.270779i | ||||
\(465\) | 219193. | − | 318600.i | 0.0470104 | − | 0.0683304i | ||||
\(466\) | −1.72773e6 | + | 5.31741e6i | −0.368563 | + | 1.13432i | ||||
\(467\) | 1.46568e6 | + | 1.06488e6i | 0.310990 | + | 0.225947i | 0.732321 | − | 0.680960i | \(-0.238437\pi\) |
−0.421331 | + | 0.906907i | \(0.638437\pi\) | |||||||
\(468\) | −373811. | −0.0788929 | ||||||||
\(469\) | −937618. | − | 681219.i | −0.196831 | − | 0.143006i | ||||
\(470\) | −157711. | + | 55763.3i | −0.0329320 | + | 0.0116440i | ||||
\(471\) | 1.35443e6 | − | 984051.i | 0.281322 | − | 0.204393i | ||||
\(472\) | −506023. | + | 367647.i | −0.104548 | + | 0.0759584i | ||||
\(473\) | −2.83051e6 | − | 8.71142e6i | −0.581718 | − | 1.79034i | ||||
\(474\) | 79216.2 | 0.0161945 | ||||||||
\(475\) | 383153. | − | 1.42448e6i | 0.0779181 | − | 0.289682i | ||||
\(476\) | 2.67837e6 | 0.541817 | ||||||||
\(477\) | −636029. | − | 1.95750e6i | −0.127991 | − | 0.393917i | ||||
\(478\) | −2.57606e6 | + | 1.87162e6i | −0.515687 | + | 0.374668i | ||||
\(479\) | 2.71956e6 | − | 1.97587e6i | 0.541576 | − | 0.393478i | −0.283094 | − | 0.959092i | \(-0.591361\pi\) |
0.824670 | + | 0.565614i | \(0.191361\pi\) | |||||||
\(480\) | −13239.1 | − | 515020.i | −0.00262273 | − | 0.102028i | ||||
\(481\) | 2.50217e6 | + | 1.81793e6i | 0.493122 | + | 0.358274i | ||||
\(482\) | −4.16029e6 | −0.815654 | ||||||||
\(483\) | −984790. | − | 715492.i | −0.192077 | − | 0.139552i | ||||
\(484\) | 614072. | − | 1.88992e6i | 0.119153 | − | 0.366716i | ||||
\(485\) | 99326.5 | + | 3.86395e6i | 0.0191739 | + | 0.745895i | ||||
\(486\) | −72988.6 | − | 224636.i | −0.0140173 | − | 0.0431408i | ||||
\(487\) | 2.48098e6 | − | 7.63567e6i | 0.474025 | − | 1.45890i | −0.373244 | − | 0.927733i | \(-0.621755\pi\) |
0.847269 | − | 0.531165i | \(-0.178245\pi\) | |||||||
\(488\) | 550483. | − | 1.69421e6i | 0.104639 | − | 0.322046i | ||||
\(489\) | 552425. | + | 1.70019e6i | 0.104472 | + | 0.321533i | ||||
\(490\) | −821319. | − | 243714.i | −0.154533 | − | 0.0458555i | ||||
\(491\) | 204401. | − | 629081.i | 0.0382630 | − | 0.117761i | −0.930101 | − | 0.367305i | \(-0.880281\pi\) |
0.968364 | + | 0.249544i | \(0.0802806\pi\) | |||||||
\(492\) | −1.89424e6 | − | 1.37625e6i | −0.352796 | − | 0.256321i | ||||
\(493\) | −7.57966e6 | −1.40453 | ||||||||
\(494\) | −440595. | − | 320111.i | −0.0812310 | − | 0.0590178i | ||||
\(495\) | −1.37074e6 | + | 1.99238e6i | −0.251444 | + | 0.365477i | ||||
\(496\) | 159194. | − | 115661.i | 0.0290551 | − | 0.0211097i | ||||
\(497\) | 6.67200e6 | − | 4.84749e6i | 1.21162 | − | 0.880290i | ||||
\(498\) | 22383.4 | + | 68889.1i | 0.00404439 | + | 0.0124474i | ||||
\(499\) | 7.25334e6 | 1.30403 | 0.652014 | − | 0.758207i | \(-0.273924\pi\) | ||||
0.652014 | + | 0.758207i | \(0.273924\pi\) | |||||||
\(500\) | 2.58386e6 | − | 1.06592e6i | 0.462215 | − | 0.190677i | ||||
\(501\) | −23741.0 | −0.00422577 | ||||||||
\(502\) | −1.63289e6 | − | 5.02553e6i | −0.289200 | − | 0.890067i | ||||
\(503\) | −7.68482e6 | + | 5.58335e6i | −1.35430 | + | 0.983954i | −0.355512 | + | 0.934672i | \(0.615694\pi\) |
−0.998785 | + | 0.0492827i | \(0.984306\pi\) | |||||||
\(504\) | −477735. | + | 347095.i | −0.0837743 | + | 0.0608656i | ||||
\(505\) | −4.51661e6 | + | 6.56497e6i | −0.788106 | + | 1.14552i | ||||
\(506\) | −2.05215e6 | − | 1.49097e6i | −0.356314 | − | 0.258877i | ||||
\(507\) | 2.59289e6 | 0.447985 | ||||||||
\(508\) | −3.97813e6 | − | 2.89028e6i | −0.683942 | − | 0.496913i | ||||
\(509\) | −3.48764e6 | + | 1.07339e7i | −0.596674 | + | 1.83638i | −0.0504661 | + | 0.998726i | \(0.516071\pi\) |
−0.546208 | + | 0.837649i | \(0.683929\pi\) | |||||||
\(510\) | −2.83523e6 | − | 841312.i | −0.482684 | − | 0.143229i | ||||
\(511\) | 1.34883e6 | + | 4.15128e6i | 0.228511 | + | 0.703283i | ||||
\(512\) | 81007.0 | − | 249314.i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 106337. | − | 327271.i | 0.0178398 | − | 0.0549053i | ||||
\(514\) | 1.42533e6 | + | 4.38672e6i | 0.237962 | + | 0.732373i | ||||
\(515\) | 282853. | + | 1.10034e7i | 0.0469940 | + | 1.82814i | ||||
\(516\) | −763159. | + | 2.34876e6i | −0.126180 | + | 0.388342i | ||||
\(517\) | 323242. | + | 234849.i | 0.0531865 | + | 0.0386422i | ||||
\(518\) | 4.88581e6 | 0.800041 | ||||||||
\(519\) | 753259. | + | 547275.i | 0.122751 | + | 0.0891840i | ||||
\(520\) | −26518.1 | − | 1.03159e6i | −0.00430065 | − | 0.167302i | ||||
\(521\) | 3.31849e6 | − | 2.41102e6i | 0.535607 | − | 0.389141i | −0.286844 | − | 0.957977i | \(-0.592606\pi\) |
0.822451 | + | 0.568836i | \(0.192606\pi\) | |||||||
\(522\) | 1.35197e6 | − | 982263.i | 0.217165 | − | 0.157780i | ||||
\(523\) | 2.21046e6 | + | 6.80309e6i | 0.353369 | + | 1.08756i | 0.956949 | + | 0.290255i | \(0.0937401\pi\) |
−0.603581 | + | 0.797302i | \(0.706260\pi\) | |||||||
\(524\) | −3.39343e6 | −0.539896 | ||||||||
\(525\) | −2.68521e6 | − | 1.74746e6i | −0.425186 | − | 0.276700i | ||||
\(526\) | 1.29675e6 | 0.204359 | ||||||||
\(527\) | −349057. | − | 1.07429e6i | −0.0547481 | − | 0.168497i | ||||
\(528\) | −995526. | + | 723292.i | −0.155406 | + | 0.112909i | ||||
\(529\) | 4.06656e6 | − | 2.95453e6i | 0.631812 | − | 0.459038i | ||||
\(530\) | 5.35692e6 | − | 1.89409e6i | 0.828372 | − | 0.292895i | ||||
\(531\) | −640435. | − | 465303.i | −0.0985686 | − | 0.0716143i | ||||
\(532\) | −860317. | −0.131789 | ||||||||
\(533\) | −3.79421e6 | − | 2.75665e6i | −0.578499 | − | 0.420304i | ||||
\(534\) | −559501. | + | 1.72197e6i | −0.0849078 | + | 0.261319i | ||||
\(535\) | −5.45081e6 | + | 7.92283e6i | −0.823334 | + | 1.19673i | ||||
\(536\) | 201218. | + | 619284.i | 0.0302520 | + | 0.0931061i | ||||
\(537\) | 646692. | − | 1.99031e6i | 0.0967747 | − | 0.297842i | ||||
\(538\) | −537722. | + | 1.65494e6i | −0.0800944 | + | 0.246505i | ||||
\(539\) | 632334. | + | 1.94613e6i | 0.0937508 | + | 0.288535i | ||||
\(540\) | 614742. | − | 217360.i | 0.0907211 | − | 0.0320771i | ||||
\(541\) | −975940. | + | 3.00363e6i | −0.143361 | + | 0.441219i | −0.996797 | − | 0.0799791i | \(-0.974515\pi\) |
0.853436 | + | 0.521198i | \(0.174515\pi\) | |||||||
\(542\) | −2.60351e6 | − | 1.89156e6i | −0.380680 | − | 0.276580i | ||||
\(543\) | −68155.7 | −0.00991979 | ||||||||
\(544\) | −1.21743e6 | − | 884513.i | −0.176379 | − | 0.128146i | ||||
\(545\) | −3.56044e6 | − | 4.64467e6i | −0.513467 | − | 0.669829i | ||||
\(546\) | −956912. | + | 695237.i | −0.137370 | + | 0.0998048i | ||||
\(547\) | −487636. | + | 354288.i | −0.0696831 | + | 0.0506277i | −0.622081 | − | 0.782953i | \(-0.713713\pi\) |
0.552398 | + | 0.833580i | \(0.313713\pi\) | |||||||
\(548\) | 706847. | + | 2.17545e6i | 0.100548 | + | 0.309455i | ||||
\(549\) | 2.25458e6 | 0.319253 | ||||||||
\(550\) | −5.59556e6 | − | 3.64143e6i | −0.788745 | − | 0.513293i | ||||
\(551\) | 2.43466e6 | 0.341632 | ||||||||
\(552\) | 211341. | + | 650441.i | 0.0295213 | + | 0.0908573i | ||||
\(553\) | 202784. | − | 147331.i | 0.0281982 | − | 0.0204872i | ||||
\(554\) | −3.80765e6 | + | 2.76642e6i | −0.527088 | + | 0.382952i | ||||
\(555\) | −5.17195e6 | − | 1.53470e6i | −0.712725 | − | 0.211491i | ||||
\(556\) | −2.82052e6 | − | 2.04923e6i | −0.386939 | − | 0.281127i | ||||
\(557\) | 4.81121e6 | 0.657077 | 0.328539 | − | 0.944490i | \(-0.393444\pi\) | ||||
0.328539 | + | 0.944490i | \(0.393444\pi\) | |||||||
\(558\) | 201480. | + | 146383.i | 0.0273934 | + | 0.0199024i | ||||
\(559\) | −1.52862e6 | + | 4.70461e6i | −0.206905 | + | 0.636787i | ||||
\(560\) | −991756. | − | 1.29377e6i | −0.133640 | − | 0.174336i | ||||
\(561\) | 2.18284e6 | + | 6.71811e6i | 0.292830 | + | 0.901238i | ||||
\(562\) | 3.18685e6 | − | 9.80813e6i | 0.425619 | − | 1.30992i | ||||
\(563\) | 4.56462e6 | − | 1.40485e7i | 0.606923 | − | 1.86792i | 0.123934 | − | 0.992290i | \(-0.460449\pi\) |
0.482989 | − | 0.875627i | \(-0.339551\pi\) | |||||||
\(564\) | −33289.1 | − | 102453.i | −0.00440661 | − | 0.0135621i | ||||
\(565\) | 2.22205e6 | + | 2.89871e6i | 0.292841 | + | 0.382018i | ||||
\(566\) | 1.85289e6 | − | 5.70261e6i | 0.243113 | − | 0.748226i | ||||
\(567\) | −604634. | − | 439292.i | −0.0789832 | − | 0.0573846i | ||||
\(568\) | −4.63355e6 | −0.602619 | ||||||||
\(569\) | −8.32929e6 | − | 6.05158e6i | −1.07852 | − | 0.783589i | −0.101094 | − | 0.994877i | \(-0.532234\pi\) |
−0.977424 | + | 0.211288i | \(0.932234\pi\) | |||||||
\(570\) | 910703. | + | 270238.i | 0.117406 | + | 0.0348385i | ||||
\(571\) | 3.90035e6 | − | 2.83377e6i | 0.500626 | − | 0.363726i | −0.308630 | − | 0.951182i | \(-0.599870\pi\) |
0.809256 | + | 0.587456i | \(0.199870\pi\) | |||||||
\(572\) | −1.99406e6 | + | 1.44877e6i | −0.254828 | + | 0.185144i | ||||
\(573\) | −2.26214e6 | − | 6.96217e6i | −0.287829 | − | 0.885845i | ||||
\(574\) | −7.40867e6 | −0.938557 | ||||||||
\(575\) | −2.88582e6 | + | 2.33231e6i | −0.363998 | + | 0.294182i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 2.42161e6 | + | 7.45296e6i | 0.302806 | + | 0.931942i | 0.980487 | + | 0.196586i | \(0.0629854\pi\) |
−0.677680 | + | 0.735357i | \(0.737015\pi\) | |||||||
\(578\) | −2.39382e6 | + | 1.73921e6i | −0.298038 | + | 0.216537i | ||||
\(579\) | 1.02508e6 | − | 744766.i | 0.127076 | − | 0.0923259i | ||||
\(580\) | 2.80663e6 | + | 3.66130e6i | 0.346429 | + | 0.451924i | ||||
\(581\) | 185423. | + | 134718.i | 0.0227889 | + | 0.0165571i | ||||
\(582\) | −2.48916e6 | −0.304611 | ||||||||
\(583\) | −1.09794e7 | − | 7.97703e6i | −1.33785 | − | 0.972007i | ||||
\(584\) | 757834. | − | 2.33237e6i | 0.0919479 | − | 0.282987i | ||||
\(585\) | 1.23134e6 | − | 435375.i | 0.148761 | − | 0.0525986i | ||||
\(586\) | 2.86096e6 | + | 8.80512e6i | 0.344165 | + | 1.05923i | ||||
\(587\) | −2.03769e6 | + | 6.27136e6i | −0.244086 | + | 0.751219i | 0.751700 | + | 0.659506i | \(0.229234\pi\) |
−0.995785 | + | 0.0917134i | \(0.970766\pi\) | |||||||
\(588\) | 170489. | − | 524712.i | 0.0203354 | − | 0.0625860i | ||||
\(589\) | 112120. | + | 345071.i | 0.0133167 | + | 0.0409846i | ||||
\(590\) | 1.23865e6 | − | 1.80040e6i | 0.146493 | − | 0.212930i | ||||
\(591\) | −708158. | + | 2.17949e6i | −0.0833991 | + | 0.256676i | ||||
\(592\) | −2.22080e6 | − | 1.61351e6i | −0.260438 | − | 0.189220i | ||||
\(593\) | 1.45348e7 | 1.69735 | 0.848676 | − | 0.528913i | \(-0.177400\pi\) | ||||
0.848676 | + | 0.528913i | \(0.177400\pi\) | |||||||
\(594\) | −1.25996e6 | − | 915417.i | −0.146518 | − | 0.106452i | ||||
\(595\) | −8.82257e6 | + | 3.11947e6i | −1.02165 | + | 0.361234i | ||||
\(596\) | −6.44461e6 | + | 4.68228e6i | −0.743157 | + | 0.539935i | ||||
\(597\) | 966052. | − | 701878.i | 0.110934 | − | 0.0805982i | ||||
\(598\) | 423320. | + | 1.30284e6i | 0.0484078 | + | 0.148984i | ||||
\(599\) | −1.32683e7 | −1.51094 | −0.755471 | − | 0.655182i | \(-0.772592\pi\) | ||||
−0.755471 | + | 0.655182i | \(0.772592\pi\) | |||||||
\(600\) | 643450. | + | 1.68106e6i | 0.0729687 | + | 0.190636i | ||||
\(601\) | 1.01059e7 | 1.14128 | 0.570638 | − | 0.821202i | \(-0.306696\pi\) | ||||
0.570638 | + | 0.821202i | \(0.306696\pi\) | |||||||
\(602\) | 2.41478e6 | + | 7.43192e6i | 0.271573 | + | 0.835814i | ||||
\(603\) | −666724. | + | 484404.i | −0.0746712 | + | 0.0542518i | ||||
\(604\) | 3.83482e6 | − | 2.78616e6i | 0.427713 | − | 0.310752i | ||||
\(605\) | 178415. | + | 6.94063e6i | 0.0198173 | + | 0.770922i | ||||
\(606\) | −4.15162e6 | − | 3.01633e6i | −0.459236 | − | 0.333654i | ||||
\(607\) | −1.43062e6 | −0.157599 | −0.0787994 | − | 0.996890i | \(-0.525109\pi\) | ||||
−0.0787994 | + | 0.996890i | \(0.525109\pi\) | |||||||
\(608\) | 391049. | + | 284114.i | 0.0429015 | + | 0.0311698i | ||||
\(609\) | 1.63401e6 | − | 5.02895e6i | 0.178530 | − | 0.549458i | ||||
\(610\) | 159940. | + | 6.22190e6i | 0.0174033 | + | 0.677015i | ||||
\(611\) | −66678.7 | − | 205216.i | −0.00722576 | − | 0.0222386i | ||||
\(612\) | 588536. | − | 1.81133e6i | 0.0635176 | − | 0.195487i | ||||
\(613\) | −3.60392e6 | + | 1.10917e7i | −0.387368 | + | 1.19220i | 0.547380 | + | 0.836884i | \(0.315625\pi\) |
−0.934748 | + | 0.355312i | \(0.884375\pi\) | |||||||
\(614\) | −3.25553e6 | − | 1.00195e7i | −0.348498 | − | 1.07257i | ||||
\(615\) | 7.84257e6 | + | 2.32717e6i | 0.836124 | + | 0.248108i | ||||
\(616\) | −1.20320e6 | + | 3.70308e6i | −0.127758 | + | 0.393198i | ||||
\(617\) | 5.06271e6 | + | 3.67828e6i | 0.535390 | + | 0.388984i | 0.822370 | − | 0.568953i | \(-0.192651\pi\) |
−0.286980 | + | 0.957937i | \(0.592651\pi\) | |||||||
\(618\) | −7.08840e6 | −0.746581 | ||||||||
\(619\) | 1.11034e7 | + | 8.06706e6i | 1.16474 | + | 0.846230i | 0.990369 | − | 0.138451i | \(-0.0442122\pi\) |
0.174367 | + | 0.984681i | \(0.444212\pi\) | |||||||
\(620\) | −389677. | + | 566401.i | −0.0407122 | + | 0.0591758i | ||||
\(621\) | −700268. | + | 508774.i | −0.0728677 | + | 0.0529415i | ||||
\(622\) | −4.77131e6 | + | 3.46656e6i | −0.494495 | + | 0.359272i | ||||
\(623\) | 1.77036e6 | + | 5.44862e6i | 0.182744 | + | 0.562427i | ||||
\(624\) | 664553. | 0.0683232 | ||||||||
\(625\) | −7.26980e6 | + | 6.52054e6i | −0.744427 | + | 0.667704i | ||||
\(626\) | 4.96182e6 | 0.506064 | ||||||||
\(627\) | −701151. | − | 2.15792e6i | −0.0712267 | − | 0.219213i | ||||
\(628\) | −2.40788e6 | + | 1.74942e6i | −0.243632 | + | 0.177009i | ||||
\(629\) | −1.27484e7 | + | 9.26224e6i | −1.28478 | + | 0.933446i | ||||
\(630\) | 1.16941e6 | − | 1.69975e6i | 0.117385 | − | 0.170621i | ||||
\(631\) | −9.68036e6 | − | 7.03319e6i | −0.967872 | − | 0.703200i | −0.0129066 | − | 0.999917i | \(-0.504108\pi\) |
−0.954966 | + | 0.296716i | \(0.904108\pi\) | |||||||
\(632\) | −140829. | −0.0140249 | ||||||||
\(633\) | −4.67770e6 | − | 3.39855e6i | −0.464005 | − | 0.337119i | ||||
\(634\) | −2.36906e6 | + | 7.29121e6i | −0.234074 | + | 0.720405i | ||||
\(635\) | 1.64703e7 | + | 4.88732e6i | 1.62094 | + | 0.480990i | ||||
\(636\) | 1.13072e6 | + | 3.47999e6i | 0.110844 | + | 0.341142i | ||||
\(637\) | 341493. | − | 1.05101e6i | 0.0333452 | − | 0.102626i | ||||
\(638\) | 3.40502e6 | − | 1.04796e7i | 0.331183 | − | 1.01927i | ||||
\(639\) | −1.81218e6 | − | 5.57731e6i | −0.175569 | − | 0.540347i | ||||
\(640\) | 23536.1 | + | 915591.i | 0.00227135 | + | 0.0883592i | ||||
\(641\) | 3.33003e6 | − | 1.02488e7i | 0.320113 | − | 0.985206i | −0.653485 | − | 0.756939i | \(-0.726694\pi\) |
0.973598 | − | 0.228267i | \(-0.0733060\pi\) | |||||||
\(642\) | −5.01031e6 | − | 3.64021e6i | −0.479764 | − | 0.348569i | ||||
\(643\) | 1.47695e7 | 1.40877 | 0.704383 | − | 0.709820i | \(-0.251224\pi\) | ||||
0.704383 | + | 0.709820i | \(0.251224\pi\) | |||||||
\(644\) | 1.75074e6 | + | 1.27199e6i | 0.166344 | + | 0.120856i | ||||
\(645\) | −221732. | − | 8.62570e6i | −0.0209859 | − | 0.816385i | ||||
\(646\) | 2.24480e6 | − | 1.63094e6i | 0.211639 | − | 0.153765i | ||||
\(647\) | −4.32513e6 | + | 3.14239e6i | −0.406199 | + | 0.295121i | −0.772061 | − | 0.635548i | \(-0.780774\pi\) |
0.365862 | + | 0.930669i | \(0.380774\pi\) | |||||||
\(648\) | 129757. | + | 399352.i | 0.0121393 | + | 0.0373610i | ||||
\(649\) | −5.21969e6 | −0.486444 | ||||||||
\(650\) | 1.28884e6 | + | 3.36720e6i | 0.119651 | + | 0.312597i | ||||
\(651\) | 788017. | 0.0728757 | ||||||||
\(652\) | −982089. | − | 3.02256e6i | −0.0904757 | − | 0.278456i | ||||
\(653\) | 6.07870e6 | − | 4.41643e6i | 0.557863 | − | 0.405311i | −0.272813 | − | 0.962067i | \(-0.587954\pi\) |
0.830676 | + | 0.556756i | \(0.187954\pi\) | |||||||
\(654\) | 3.04904e6 | − | 2.21526e6i | 0.278753 | − | 0.202526i | ||||
\(655\) | 1.11780e7 | − | 3.95230e6i | 1.01803 | − | 0.359954i | ||||
\(656\) | 3.36754e6 | + | 2.44666e6i | 0.305530 | + | 0.221980i | ||||
\(657\) | 3.10382e6 | 0.280533 | ||||||||
\(658\) | −275765. | − | 200355.i | −0.0248299 | − | 0.0180400i | ||||
\(659\) | −1.13437e6 | + | 3.49122e6i | −0.101751 | + | 0.313158i | −0.988954 | − | 0.148221i | \(-0.952645\pi\) |
0.887203 | + | 0.461379i | \(0.152645\pi\) | |||||||
\(660\) | 2.43686e6 | − | 3.54202e6i | 0.217757 | − | 0.316512i | ||||
\(661\) | 5.42876e6 | + | 1.67080e7i | 0.483278 | + | 1.48738i | 0.834459 | + | 0.551070i | \(0.185780\pi\) |
−0.351181 | + | 0.936307i | \(0.614220\pi\) | |||||||
\(662\) | 1.78925e6 | − | 5.50674e6i | 0.158681 | − | 0.488371i | ||||
\(663\) | 1.17885e6 | − | 3.62812e6i | 0.104153 | − | 0.320551i | ||||
\(664\) | −39792.8 | − | 122470.i | −0.00350255 | − | 0.0107797i | ||||
\(665\) | 2.83390e6 | − | 1.00201e6i | 0.248502 | − | 0.0878650i | ||||
\(666\) | 1.07359e6 | − | 3.30418e6i | 0.0937894 | − | 0.288654i | ||||
\(667\) | −4.95451e6 | − | 3.59966e6i | −0.431207 | − | 0.313290i | ||||
\(668\) | 42206.3 | 0.00365962 | ||||||||
\(669\) | 2.75506e6 | + | 2.00167e6i | 0.237994 | + | 0.172912i | ||||
\(670\) | −1.38409e6 | − | 1.80557e6i | −0.119118 | − | 0.155392i | ||||
\(671\) | 1.20268e7 | − | 8.73801e6i | 1.03121 | − | 0.749215i | ||||
\(672\) | 849307. | − | 617058.i | 0.0725507 | − | 0.0527112i | ||||
\(673\) | 3.37332e6 | + | 1.03820e7i | 0.287091 | + | 0.883575i | 0.985764 | + | 0.168134i | \(0.0537742\pi\) |
−0.698673 | + | 0.715441i | \(0.746226\pi\) | |||||||
\(674\) | −5.98263e6 | −0.507274 | ||||||||
\(675\) | −1.77181e6 | + | 1.43197e6i | −0.149678 | + | 0.120969i | ||||
\(676\) | −4.60958e6 | −0.387966 | ||||||||
\(677\) | 2.20052e6 | + | 6.77250e6i | 0.184524 | + | 0.567908i | 0.999940 | − | 0.0109686i | \(-0.00349147\pi\) |
−0.815415 | + | 0.578876i | \(0.803491\pi\) | |||||||
\(678\) | −1.90289e6 | + | 1.38253e6i | −0.158979 | + | 0.115505i | ||||
\(679\) | −6.37195e6 | + | 4.62949e6i | −0.530393 | + | 0.385353i | ||||
\(680\) | 5.04041e6 | + | 1.49567e6i | 0.418016 | + | 0.124040i | ||||
\(681\) | 8.98883e6 | + | 6.53076e6i | 0.742737 | + | 0.539630i | ||||
\(682\) | 1.64210e6 | 0.135189 | ||||||||
\(683\) | −1.10355e7 | − | 8.01778e6i | −0.905193 | − | 0.657661i | 0.0346017 | − | 0.999401i | \(-0.488984\pi\) |
−0.939794 | + | 0.341740i | \(0.888984\pi\) | |||||||
\(684\) | −189043. | + | 581816.i | −0.0154497 | + | 0.0475494i | ||||
\(685\) | −4.86209e6 | − | 6.34270e6i | −0.395910 | − | 0.516473i | ||||
\(686\) | −2.90591e6 | − | 8.94347e6i | −0.235761 | − | 0.725597i | ||||
\(687\) | 3.45387e6 | − | 1.06299e7i | 0.279199 | − | 0.859287i | ||||
\(688\) | 1.35673e6 | − | 4.17558e6i | 0.109275 | − | 0.336314i | ||||
\(689\) | 2.26485e6 | + | 6.97049e6i | 0.181757 | + | 0.559391i | ||||
\(690\) | −1.45372e6 | − | 1.89641e6i | −0.116241 | − | 0.151639i | ||||
\(691\) | 5.55753e6 | − | 1.71043e7i | 0.442778 | − | 1.36273i | −0.442124 | − | 0.896954i | \(-0.645775\pi\) |
0.884902 | − | 0.465777i | \(-0.154225\pi\) | |||||||
\(692\) | −1.33913e6 | − | 972933.i | −0.106306 | − | 0.0772356i | ||||
\(693\) | −4.92790e6 | −0.389789 | ||||||||
\(694\) | −6.21155e6 | − | 4.51296e6i | −0.489555 | − | 0.355682i | ||||
\(695\) | 1.16775e7 | + | 3.46514e6i | 0.917043 | + | 0.272119i | ||||
\(696\) | −2.40350e6 | + | 1.74625e6i | −0.188071 | + | 0.136641i | ||||
\(697\) | 1.93312e7 | − | 1.40449e7i | 1.50722 | − | 1.09506i | ||||
\(698\) | 2.17352e6 | + | 6.68942e6i | 0.168860 | + | 0.519697i | ||||
\(699\) | 1.25799e7 | 0.973831 | ||||||||
\(700\) | 4.77370e6 | + | 3.10659e6i | 0.368222 | + | 0.239629i | ||||
\(701\) | 2.40582e7 | 1.84913 | 0.924567 | − | 0.381021i | \(-0.124427\pi\) | ||||
0.924567 | + | 0.381021i | \(0.124427\pi\) | |||||||
\(702\) | 259907. | + | 799910.i | 0.0199056 | + | 0.0612630i | ||||
\(703\) | 4.09490e6 | − | 2.97512e6i | 0.312504 | − | 0.227047i | ||||
\(704\) | 1.76982e6 | − | 1.28585e6i | 0.134586 | − | 0.0977822i | ||||
\(705\) | 228981. | + | 298711.i | 0.0173511 | + | 0.0226349i | ||||
\(706\) | 6.82805e6 | + | 4.96087e6i | 0.515567 | + | 0.374581i | ||||
\(707\) | −1.62376e7 | −1.22172 | ||||||||
\(708\) | 1.13855e6 | + | 827206.i | 0.0853629 | + | 0.0620198i | ||||
\(709\) | 314725. | − | 968625.i | 0.0235134 | − | 0.0723669i | −0.938611 | − | 0.344977i | \(-0.887887\pi\) |
0.962125 | + | 0.272610i | \(0.0878868\pi\) | |||||||
\(710\) | 1.52630e7 | − | 5.39666e6i | 1.13630 | − | 0.401772i | ||||
\(711\) | −55078.1 | − | 169513.i | −0.00408606 | − | 0.0125756i | ||||
\(712\) | 994668. | − | 3.06127e6i | 0.0735323 | − | 0.226309i | ||||
\(713\) | 282026. | − | 867988.i | 0.0207762 | − | 0.0639425i | ||||
\(714\) | −1.86224e6 | − | 5.73137e6i | −0.136707 | − | 0.420739i | ||||
\(715\) | 4.88108e6 | − | 7.09472e6i | 0.357068 | − | 0.519004i | ||||
\(716\) | −1.14967e6 | + | 3.53834e6i | −0.0838093 | + | 0.257939i | ||||
\(717\) | 5.79613e6 | + | 4.21113e6i | 0.421056 | + | 0.305915i | ||||
\(718\) | 291802. | 0.0211241 | ||||||||
\(719\) | −1.65953e7 | − | 1.20572e7i | −1.19719 | − | 0.869809i | −0.203184 | − | 0.979141i | \(-0.565129\pi\) |
−0.994005 | + | 0.109332i | \(0.965129\pi\) | |||||||
\(720\) | −1.09287e6 | + | 386417.i | −0.0785668 | + | 0.0277796i | ||||
\(721\) | −1.81455e7 | + | 1.31835e7i | −1.29996 | + | 0.944476i | ||||
\(722\) | 7.29177e6 | − | 5.29778e6i | 0.520583 | − | 0.378226i | ||||
\(723\) | 2.89260e6 | + | 8.90251e6i | 0.205799 | + | 0.633383i | ||||
\(724\) | 121166. | 0.00859079 | ||||||||
\(725\) | −1.35094e7 | − | 8.79152e6i | −0.954530 | − | 0.621182i | ||||
\(726\) | −4.47115e6 | −0.314831 | ||||||||
\(727\) | −1.96619e6 | − | 6.05131e6i | −0.137971 | − | 0.424632i | 0.858069 | − | 0.513535i | \(-0.171664\pi\) |
−0.996040 | + | 0.0889021i | \(0.971664\pi\) | |||||||
\(728\) | 1.70118e6 | − | 1.23598e6i | 0.118966 | − | 0.0864335i | ||||
\(729\) | −429945. | + | 312373.i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | 220184. | + | 8.56551e6i | 0.0152925 | + | 0.594903i | ||||
\(731\) | −2.03898e7 | − | 1.48141e7i | −1.41130 | − | 1.02537i | ||||
\(732\) | −4.00815e6 | −0.276482 | ||||||||
\(733\) | −1.68896e7 | − | 1.22710e7i | −1.16107 | − | 0.843567i | −0.171158 | − | 0.985244i | \(-0.554751\pi\) |
−0.989913 | + | 0.141676i | \(0.954751\pi\) | |||||||
\(734\) | −1.06412e6 | + | 3.27502e6i | −0.0729038 | + | 0.224375i | ||||
\(735\) | 49534.7 | + | 1.92697e6i | 0.00338213 | + | 0.131570i | ||||
\(736\) | −375717. | − | 1.15634e6i | −0.0255662 | − | 0.0786848i | ||||
\(737\) | −1.67919e6 | + | 5.16800e6i | −0.113875 | + | 0.350472i | ||||
\(738\) | −1.62796e6 | + | 5.01034e6i | −0.110028 | + | 0.338631i | ||||
\(739\) | 4.54508e6 | + | 1.39883e7i | 0.306147 | + | 0.942224i | 0.979247 | + | 0.202672i | \(0.0649625\pi\) |
−0.673100 | + | 0.739552i | \(0.735037\pi\) | |||||||
\(740\) | 9.19458e6 | + | 2.72836e6i | 0.617238 | + | 0.183156i | ||||
\(741\) | −378657. | + | 1.16539e6i | −0.0253338 | + | 0.0779695i | ||||
\(742\) | 9.36681e6 | + | 6.80539e6i | 0.624571 | + | 0.453778i | ||||
\(743\) | 2.12839e7 | 1.41442 | 0.707210 | − | 0.707003i | \(-0.249953\pi\) | ||||
0.707210 | + | 0.707003i | \(0.249953\pi\) | |||||||
\(744\) | −358186. | − | 260237.i | −0.0237234 | − | 0.0172360i | ||||
\(745\) | 1.57752e7 | − | 2.29295e7i | 1.04132 | − | 1.51357i | ||||
\(746\) | 4.50281e6 | − | 3.27148e6i | 0.296235 | − | 0.215227i | ||||
\(747\) | 131851. | − | 95795.6i | 0.00864536 | − | 0.00628122i | ||||
\(748\) | −3.88061e6 | − | 1.19433e7i | −0.253598 | − | 0.780495i | ||||
\(749\) | −1.95961e7 | −1.27633 | ||||||||
\(750\) | −4.07745e6 | − | 4.78802e6i | −0.264689 | − | 0.310816i | ||||
\(751\) | −2.82716e6 | −0.182916 | −0.0914579 | − | 0.995809i | \(-0.529153\pi\) | ||||
−0.0914579 | + | 0.995809i | \(0.529153\pi\) | |||||||
\(752\) | 59180.6 | + | 182139.i | 0.00381623 | + | 0.0117452i | ||||
\(753\) | −9.61868e6 | + | 6.98838e6i | −0.618199 | + | 0.449148i | ||||
\(754\) | −4.81426e6 | + | 3.49776e6i | −0.308390 | + | 0.224059i | ||||
\(755\) | −9.38693e6 | + | 1.36440e7i | −0.599316 | + | 0.871115i | ||||
\(756\) | 1.07490e6 | + | 780964.i | 0.0684014 | + | 0.0496966i | ||||
\(757\) | 1.17188e7 | 0.743262 | 0.371631 | − | 0.928381i | \(-0.378799\pi\) | ||||
0.371631 | + | 0.928381i | \(0.378799\pi\) | |||||||
\(758\) | 452293. | + | 328610.i | 0.0285921 | + | 0.0207734i | ||||
\(759\) | −1.76367e6 | + | 5.42801e6i | −0.111125 | + | 0.342008i | ||||
\(760\) | −1.61903e6 | − | 480423.i | −0.101676 | − | 0.0301710i | ||||
\(761\) | −3.55678e6 | − | 1.09466e7i | −0.222636 | − | 0.685202i | −0.998523 | − | 0.0543308i | \(-0.982697\pi\) |
0.775887 | − | 0.630872i | \(-0.217303\pi\) | |||||||
\(762\) | −3.41890e6 | + | 1.05223e7i | −0.213304 | + | 0.656482i | ||||
\(763\) | 3.68511e6 | − | 1.13416e7i | 0.229160 | − | 0.705283i | ||||
\(764\) | 4.02159e6 | + | 1.23772e7i | 0.249267 | + | 0.767164i | ||||
\(765\) | 170996. | + | 6.65200e6i | 0.0105641 | + | 0.410959i | ||||
\(766\) | −629873. | + | 1.93855e6i | −0.0387865 | + | 0.119373i | ||||
\(767\) | 2.28054e6 | + | 1.65691e6i | 0.139975 | + | 0.101697i | ||||
\(768\) | −589824. | −0.0360844 | ||||||||
\(769\) | 1.08256e7 | + | 7.86525e6i | 0.660139 | + | 0.479619i | 0.866710 | − | 0.498812i | \(-0.166230\pi\) |
−0.206571 | + | 0.978432i | \(0.566230\pi\) | |||||||
\(770\) | −349584. | − | 1.35994e7i | −0.0212483 | − | 0.826593i | ||||
\(771\) | 8.39603e6 | − | 6.10007e6i | 0.508672 | − | 0.369572i | ||||
\(772\) | −1.82237e6 | + | 1.32403e6i | −0.110051 | + | 0.0799566i | ||||
\(773\) | −6.80324e6 | − | 2.09382e7i | −0.409512 | − | 1.26035i | −0.917068 | − | 0.398730i | \(-0.869451\pi\) |
0.507556 | − | 0.861619i | \(-0.330549\pi\) | |||||||
\(774\) | 5.55668e6 | 0.333398 | ||||||||
\(775\) | 623916. | − | 2.31958e6i | 0.0373140 | − | 0.138725i | ||||
\(776\) | 4.42517e6 | 0.263801 | ||||||||
\(777\) | −3.39704e6 | − | 1.04550e7i | −0.201859 | − | 0.621259i | ||||
\(778\) | 9.43812e6 | − | 6.85719e6i | 0.559032 | − | 0.406160i | ||||
\(779\) | −6.20937e6 | + | 4.51137e6i | −0.366610 | + | 0.266357i | ||||
\(780\) | −2.18905e6 | + | 774001.i | −0.128830 | + | 0.0455517i | ||||
\(781\) | −3.12827e7 | − | 2.27282e7i | −1.83517 | − | 1.33333i | ||||
\(782\) | −6.97950e6 | −0.408138 | ||||||||
\(783\) | −3.04193e6 | − | 2.21009e6i | −0.177315 | − | 0.128827i | ||||
\(784\) | −303092. | + | 932821.i | −0.0176110 | + | 0.0542011i | ||||
\(785\) | 5.89403e6 | − | 8.56706e6i | 0.341380 | − | 0.496201i | ||||
\(786\) | 2.35941e6 | + | 7.26152e6i | 0.136222 | + | 0.419248i | ||||
\(787\) | 4.41610e6 | − | 1.35914e7i | 0.254157 | − | 0.782215i | −0.739837 | − | 0.672786i | \(-0.765098\pi\) |
0.993995 | − | 0.109430i | \(-0.0349024\pi\) | |||||||
\(788\) | 1.25895e6 | − | 3.87464e6i | 0.0722258 | − | 0.222288i | ||||
\(789\) | −901618. | − | 2.77489e6i | −0.0515620 | − | 0.158692i | ||||
\(790\) | 463892. | − | 164022.i | 0.0264453 | − | 0.00935051i | ||||
\(791\) | −2.29985e6 | + | 7.07822e6i | −0.130695 | + | 0.402238i | ||||
\(792\) | 2.23993e6 | + | 1.62741e6i | 0.126889 | + | 0.0921899i | ||||
\(793\) | −8.02840e6 | −0.453363 | ||||||||
\(794\) | 7.10421e6 | + | 5.16151e6i | 0.399912 | + | 0.290553i | ||||
\(795\) | −7.77773e6 | − | 1.01462e7i | −0.436450 | − | 0.569358i | ||||
\(796\) | −1.71743e6 | + | 1.24778e6i | −0.0960716 | + | 0.0698001i | ||||
\(797\) | −2.57094e7 | + | 1.86789e7i | −1.43366 | + | 1.04161i | −0.444337 | + | 0.895860i | \(0.646561\pi\) |
−0.989321 | + | 0.145754i | \(0.953439\pi\) | |||||||
\(798\) | 598168. | + | 1.84097e6i | 0.0332519 | + | 0.102339i | ||||
\(799\) | 1.09937e6 | 0.0609222 | ||||||||
\(800\) | −1.14391e6 | − | 2.98856e6i | −0.0631927 | − | 0.165096i | ||||
\(801\) | 4.07381e6 | 0.224347 | ||||||||
\(802\) | 3.48371e6 | + | 1.07218e7i | 0.191252 | + | 0.588613i | ||||
\(803\) | 1.65570e7 | − | 1.20294e7i | 0.906135 | − | 0.658346i | ||||
\(804\) | 1.18529e6 | − | 861162.i | 0.0646671 | − | 0.0469834i | ||||
\(805\) | −7.24843e6 | − | 2.15086e6i | −0.394234 | − | 0.116983i | ||||
\(806\) | −717453. | − | 521260.i | −0.0389005 | − | 0.0282629i | ||||
\(807\) | 3.91524e6 | 0.211629 | ||||||||
\(808\) | 7.38065e6 | + | 5.36236e6i | 0.397710 | + | 0.288953i | ||||
\(809\) | 6.70151e6 | − | 2.06251e7i | 0.359999 | − | 1.10796i | −0.593055 | − | 0.805162i | \(-0.702078\pi\) |
0.953054 | − | 0.302801i | \(-0.0979216\pi\) | |||||||
\(810\) | −892546. | − | 1.16434e6i | −0.0477989 | − | 0.0623547i | ||||
\(811\) | 3.16074e6 | + | 9.72774e6i | 0.168747 | + | 0.519350i | 0.999293 | − | 0.0376004i | \(-0.0119714\pi\) |
−0.830546 | + | 0.556950i | \(0.811971\pi\) | |||||||
\(812\) | −2.90490e6 | + | 8.94036e6i | −0.154611 | + | 0.475844i | ||||
\(813\) | −2.23751e6 | + | 6.88636e6i | −0.118724 | + | 0.365396i | ||||
\(814\) | −7.07892e6 | − | 2.17867e7i | −0.374460 | − | 1.15247i | ||||
\(815\) | 6.75537e6 | + | 8.81252e6i | 0.356250 | + | 0.464736i | ||||
\(816\) | −1.04629e6 | + | 3.22014e6i | −0.0550079 | + | 0.169297i | ||||
\(817\) | 6.54941e6 | + | 4.75842e6i | 0.343279 | + | 0.249406i | ||||
\(818\) | 1.69524e7 | 0.885824 | ||||||||
\(819\) | 2.15305e6 | + | 1.56428e6i | 0.112162 | + | 0.0814903i | ||||
\(820\) | −1.39423e7 | − | 4.13719e6i | −0.724105 | − | 0.214867i | ||||
\(821\) | −2.80940e7 | + | 2.04115e7i | −1.45464 | + | 1.05686i | −0.469924 | + | 0.882707i | \(0.655719\pi\) |
−0.984719 | + | 0.174152i | \(0.944281\pi\) | |||||||
\(822\) | 4.16373e6 | − | 3.02513e6i | 0.214933 | − | 0.156158i | ||||
\(823\) | 3.77929e6 | + | 1.16315e7i | 0.194496 | + | 0.598598i | 0.999982 | + | 0.00598272i | \(0.00190437\pi\) |
−0.805486 | + | 0.592615i | \(0.798096\pi\) | |||||||
\(824\) | 1.26016e7 | 0.646558 | ||||||||
\(825\) | −3.90169e6 | + | 1.45056e7i | −0.199581 | + | 0.741997i | ||||
\(826\) | 4.45304e6 | 0.227095 | ||||||||
\(827\) | 9.18753e6 | + | 2.82763e7i | 0.467127 | + | 1.43767i | 0.856287 | + | 0.516500i | \(0.172765\pi\) |
−0.389160 | + | 0.921170i | \(0.627235\pi\) | |||||||
\(828\) | 1.24492e6 | − | 904488.i | 0.0631053 | − | 0.0458487i | ||||
\(829\) | 1.19313e7 | − | 8.66857e6i | 0.602976 | − | 0.438088i | −0.243958 | − | 0.969786i | \(-0.578446\pi\) |
0.846934 | + | 0.531698i | \(0.178446\pi\) | |||||||
\(830\) | 273717. | + | 357070.i | 0.0137914 | + | 0.0179911i | ||||
\(831\) | 8.56722e6 | + | 6.22445e6i | 0.430366 | + | 0.312679i | ||||
\(832\) | −1.18143e6 | −0.0591697 | ||||||||
\(833\) | 4.55507e6 | + | 3.30945e6i | 0.227448 | + | 0.165251i | ||||
\(834\) | −2.42402e6 | + | 7.46037e6i | −0.120676 | + | 0.371403i | ||||
\(835\) | −139028. | + | 49157.4i | −0.00690059 | + | 0.00243990i | ||||
\(836\) | 1.24649e6 | + | 3.83630e6i | 0.0616841 | + | 0.189844i | ||||
\(837\) | 173156. | − | 532920.i | 0.00854328 | − | 0.0262935i | ||||
\(838\) | 1.85591e6 | − | 5.71191e6i | 0.0912951 | − | 0.280977i | ||||
\(839\) | −3.94301e6 | − | 1.21353e7i | −0.193385 | − | 0.595178i | −0.999992 | − | 0.00408925i | \(-0.998698\pi\) |
0.806607 | − | 0.591089i | \(-0.201302\pi\) | |||||||
\(840\) | −2.07895e6 | + | 3.02178e6i | −0.101659 | + | 0.147763i | ||||
\(841\) | 1.88244e6 | − | 5.79355e6i | 0.0917764 | − | 0.282459i | ||||
\(842\) | 6.06874e6 | + | 4.40920e6i | 0.294998 | + | 0.214328i | ||||
\(843\) | −2.32040e7 | −1.12459 | ||||||||
\(844\) | 8.31591e6 | + | 6.04186e6i | 0.401840 | + | 0.291954i | ||||
\(845\) | 1.51840e7 | − | 5.36874e6i | 0.731551 | − | 0.258661i | ||||
\(846\) | −196092. | + | 142469.i | −0.00941963 | + | 0.00684376i | ||||
\(847\) | −1.14456e7 | + | 8.31573e6i | −0.548190 | + | 0.398283i | ||||
\(848\) | −2.01017e6 | − | 6.18666e6i | −0.0959936 | − | 0.295438i | ||||
\(849\) | −1.34912e7 | −0.642363 | ||||||||
\(850\) | −1.83452e7 | + | 943782.i | −0.870912 | + | 0.0448048i | ||||
\(851\) | −1.27318e7 | −0.602652 | ||||||||
\(852\) | 3.22165e6 | + | 9.91522e6i | 0.152048 | + | 0.467954i | ||||
\(853\) | −8.42379e6 | + | 6.12024e6i | −0.396401 | + | 0.288002i | −0.768074 | − | 0.640362i | \(-0.778785\pi\) |
0.371672 | + | 0.928364i | \(0.378785\pi\) | |||||||
\(854\) | −1.02604e7 | + | 7.45461e6i | −0.481414 | + | 0.349768i | ||||
\(855\) | −54925.5 | − | 2.13669e6i | −0.00256956 | − | 0.0999598i | ||||
\(856\) | 8.90722e6 | + | 6.47148e6i | 0.415487 | + | 0.301869i | ||||
\(857\) | −4.04202e7 | −1.87995 | −0.939976 | − | 0.341240i | \(-0.889153\pi\) | ||||
−0.939976 | + | 0.341240i | \(0.889153\pi\) | |||||||
\(858\) | 4.48663e6 | + | 3.25973e6i | 0.208066 | + | 0.151169i | ||||
\(859\) | 1.02872e7 | − | 3.16607e7i | 0.475679 | − | 1.46399i | −0.369361 | − | 0.929286i | \(-0.620423\pi\) |
0.845040 | − | 0.534703i | \(-0.179577\pi\) | |||||||
\(860\) | 394189. | + | 1.53346e7i | 0.0181743 | + | 0.707010i | ||||
\(861\) | 5.15116e6 | + | 1.58536e7i | 0.236809 | + | 0.728822i | ||||
\(862\) | 6.88067e6 | − | 2.11765e7i | 0.315401 | − | 0.970703i | ||||
\(863\) | −1.03986e7 | + | 3.20036e7i | −0.475278 | + | 1.46276i | 0.370304 | + | 0.928910i | \(0.379253\pi\) |
−0.845582 | + | 0.533845i | \(0.820747\pi\) | |||||||
\(864\) | −230680. | − | 709960.i | −0.0105130 | − | 0.0323556i | ||||
\(865\) | 5.54427e6 | + | 1.64518e6i | 0.251944 | + | 0.0747607i | ||||
\(866\) | 4.26994e6 | − | 1.31415e7i | 0.193476 | − | 0.595458i | ||||
\(867\) | 5.38609e6 | + | 3.91322e6i | 0.243347 | + | 0.176802i | ||||
\(868\) | −1.40092e6 | −0.0631122 | ||||||||
\(869\) | −950784. | − | 690785.i | −0.0427103 | − | 0.0310308i | ||||
\(870\) | 5.88332e6 | − | 8.55150e6i | 0.263527 | − | 0.383040i | ||||
\(871\) | 2.37415e6 | − | 1.72492e6i | 0.106038 | − | 0.0770414i | ||||
\(872\) | −5.42052e6 | + | 3.93824e6i | −0.241407 | + | 0.175393i | ||||
\(873\) | 1.73068e6 | + | 5.32650e6i | 0.0768568 | + | 0.236541i | ||||
\(874\) | 2.24188e6 | 0.0992737 | ||||||||
\(875\) | −1.93429e7 | − | 4.67326e6i | −0.854084 | − | 0.206348i | ||||
\(876\) | −5.51790e6 | −0.242948 | ||||||||
\(877\) | 4.45361e6 | + | 1.37068e7i | 0.195530 | + | 0.601779i | 0.999970 | + | 0.00774555i | \(0.00246551\pi\) |
−0.804440 | + | 0.594034i | \(0.797534\pi\) | |||||||
\(878\) | −1.22803e7 | + | 8.92214e6i | −0.537616 | + | 0.390601i | ||||
\(879\) | 1.68527e7 | − | 1.22442e7i | 0.735693 | − | 0.534512i | ||||
\(880\) | −4.33220e6 | + | 6.29692e6i | −0.188583 | + | 0.274108i | ||||
\(881\) | −1.42662e7 | − | 1.03650e7i | −0.619255 | − | 0.449915i | 0.233406 | − | 0.972379i | \(-0.425013\pi\) |
−0.852661 | + | 0.522464i | \(0.825013\pi\) | |||||||
\(882\) | −1.24136e6 | −0.0537311 | ||||||||
\(883\) | 3.25924e7 | + | 2.36797e7i | 1.40674 | + | 1.02206i | 0.993786 | + | 0.111305i | \(0.0355032\pi\) |
0.412955 | + | 0.910752i | \(0.364497\pi\) | |||||||
\(884\) | −2.09573e6 | + | 6.44999e6i | −0.0901996 | + | 0.277606i | ||||
\(885\) | −4.71384e6 | − | 1.39876e6i | −0.202310 | − | 0.0600325i | ||||
\(886\) | −6.24403e6 | − | 1.92172e7i | −0.267227 | − | 0.822441i | ||||
\(887\) | 4.22852e6 | − | 1.30140e7i | 0.180459 | − | 0.555397i | −0.819381 | − | 0.573249i | \(-0.805683\pi\) |
0.999841 | + | 0.0178521i | \(0.00568281\pi\) | |||||||
\(888\) | −1.90861e6 | + | 5.87409e6i | −0.0812240 | + | 0.249982i | ||||
\(889\) | 1.08180e7 | + | 3.32945e7i | 0.459086 | + | 1.41292i | ||||
\(890\) | 288995. | + | 1.12424e7i | 0.0122297 | + | 0.475754i | ||||
\(891\) | −1.08284e6 | + | 3.33264e6i | −0.0456952 | + | 0.140635i | ||||
\(892\) | −4.89788e6 | − | 3.55852e6i | −0.206109 | − | 0.149747i | ||||
\(893\) | −353127. | −0.0148184 | ||||||||
\(894\) | 1.45004e7 | + | 1.05351e7i | 0.606785 | + | 0.440855i | ||||
\(895\) | −334032. | − | 1.29943e7i | −0.0139389 | − | 0.542246i | ||||
\(896\) | −1.50988e6 | + | 1.09699e6i | −0.0628307 | + | 0.0456492i | ||||
\(897\) | 2.49360e6 | − | 1.81171e6i | 0.103477 | − | 0.0751807i | ||||
\(898\) | 3.19108e6 | + | 9.82114e6i | 0.132053 | + | 0.406416i | ||||
\(899\) | 3.96454e6 | 0.163604 | ||||||||
\(900\) | 3.14988e6 | − | 2.54573e6i | 0.129625 | − | 0.104762i | ||||
\(901\) | −3.73418e7 | −1.53244 | ||||||||
\(902\) | 1.07342e7 | + | 3.30366e7i | 0.439293 | + | 1.35201i | ||||
\(903\) | 1.42244e7 | − | 1.03347e7i | 0.580518 | − | 0.421771i | ||||
\(904\) | 3.38291e6 | − | 2.45783e6i | 0.137680 | − | 0.100030i | ||||
\(905\) | −399121. | + | 141121.i | −0.0161988 | + | 0.00572756i | ||||
\(906\) | −8.62835e6 | − | 6.26886e6i | −0.349226 | − | 0.253728i | ||||
\(907\) | −3.66340e7 | −1.47865 | −0.739326 | − | 0.673347i | \(-0.764856\pi\) | ||||
−0.739326 | + | 0.673347i | \(0.764856\pi\) | |||||||
\(908\) | −1.59801e7 | − | 1.16102e7i | −0.643229 | − | 0.467333i | ||||
\(909\) | −3.56800e6 | + | 1.09812e7i | −0.143224 | + | 0.440797i | ||||
\(910\) | −4.16417e6 | + | 6.05268e6i | −0.166696 | + | 0.242295i | ||||
\(911\) | −1.05572e6 | − | 3.24917e6i | −0.0421457 | − | 0.129711i | 0.927770 | − | 0.373153i | \(-0.121723\pi\) |
−0.969915 | + | 0.243442i | \(0.921723\pi\) | |||||||
\(912\) | 336077. | − | 1.03434e6i | 0.0133799 | − | 0.0411790i | ||||
\(913\) | 332076. | − | 1.02202e6i | 0.0131844 | − | 0.0405774i | ||||
\(914\) | −6.37428e6 | − | 1.96180e7i | −0.252386 | − | 0.776765i | ||||
\(915\) | 1.32029e7 | − | 4.66827e6i | 0.521335 | − | 0.184333i | ||||
\(916\) | −6.14022e6 | + | 1.88976e7i | −0.241794 | + | 0.744164i | ||||
\(917\) | 1.95452e7 | + | 1.42004e7i | 0.767569 | + | 0.557672i | ||||
\(918\) | −4.28522e6 | −0.167829 | ||||||||
\(919\) | 2.96804e7 | + | 2.15641e7i | 1.15926 | + | 0.842251i | 0.989684 | − | 0.143266i | \(-0.0457604\pi\) |
0.169575 | + | 0.985517i | \(0.445760\pi\) | |||||||
\(920\) | 2.58440e6 | + | 3.37140e6i | 0.100668 | + | 0.131323i | ||||
\(921\) | −1.91769e7 | + | 1.39329e7i | −0.744955 | + | 0.541241i | ||||
\(922\) | 2.16124e7 | − | 1.57023e7i | 0.837289 | − | 0.608326i | ||||
\(923\) | 6.45303e6 | + | 1.98604e7i | 0.249321 | + | 0.767332i | ||||
\(924\) | 8.76072e6 | 0.337567 | ||||||||
\(925\) | −3.34648e7 | + | 1.72162e6i | −1.28598 | + | 0.0661582i | ||||
\(926\) | −1.05994e7 | −0.406212 | ||||||||
\(927\) | 4.92848e6 | + | 1.51683e7i | 0.188371 | + | 0.579746i | ||||
\(928\) | 4.27289e6 | − | 3.10444e6i | 0.162874 | − | 0.118335i | ||||
\(929\) | −1.42676e7 | + | 1.03661e7i | −0.542392 | + | 0.394071i | −0.824972 | − | 0.565173i | \(-0.808809\pi\) |
0.282581 | + | 0.959243i | \(0.408809\pi\) | |||||||
\(930\) | 1.48297e6 | + | 440048.i | 0.0562242 | + | 0.0166837i | ||||
\(931\) | −1.46313e6 | − | 1.06303e6i | −0.0553235 | − | 0.0401948i | ||||
\(932\) | −2.23642e7 | −0.843363 | ||||||||
\(933\) | 1.07355e7 | + | 7.79976e6i | 0.403753 | + | 0.293344i | ||||
\(934\) | −2.23935e6 | + | 6.89202e6i | −0.0839954 | + | 0.258511i | ||||
\(935\) | 2.66931e7 | + | 3.48217e7i | 0.998549 | + | 1.30263i | ||||
\(936\) | −462056. | − | 1.42206e6i | −0.0172387 | − | 0.0530553i | ||||
\(937\) | 1.42157e7 | − | 4.37515e7i | 0.528957 | − | 1.62796i | −0.227398 | − | 0.973802i | \(-0.573022\pi\) |
0.756355 | − | 0.654161i | \(-0.226978\pi\) | |||||||
\(938\) | 1.43255e6 | − | 4.40894e6i | 0.0531623 | − | 0.163617i | ||||
\(939\) | −3.44990e6 | − | 1.06177e7i | −0.127686 | − | 0.392976i | ||||
\(940\) | −407078. | − | 531042.i | −0.0150265 | − | 0.0196024i | ||||
\(941\) | −6.02744e6 | + | 1.85506e7i | −0.221901 | + | 0.682940i | 0.776691 | + | 0.629882i | \(0.216897\pi\) |
−0.998591 | + | 0.0530582i | \(0.983103\pi\) | |||||||
\(942\) | 5.41772e6 | + | 3.93620e6i | 0.198925 | + | 0.144527i | ||||
\(943\) | 1.93061e7 | 0.706994 | ||||||||
\(944\) | −2.02409e6 | − | 1.47059e6i | −0.0739265 | − | 0.0537107i | ||||
\(945\) | −4.45033e6 | − | 1.32057e6i | −0.162111 | − | 0.0481041i | ||||
\(946\) | 2.96415e7 | − | 2.15358e7i | 1.07689 | − | 0.782409i | ||||
\(947\) | −3.17911e7 | + | 2.30976e7i | −1.15194 | + | 0.836935i | −0.988738 | − | 0.149657i | \(-0.952183\pi\) |
−0.163205 | + | 0.986592i | \(0.552183\pi\) | |||||||
\(948\) | 97916.6 | + | 301356.i | 0.00353863 | + | 0.0108908i | ||||
\(949\) | −1.10525e7 | −0.398376 | ||||||||
\(950\) | 5.89264e6 | − | 303152.i | 0.211837 | − | 0.0108981i | ||||
\(951\) | 1.72495e7 | 0.618479 | ||||||||
\(952\) | 3.31064e6 | + | 1.01891e7i | 0.118391 | + | 0.364371i | ||||
\(953\) | 1.37148e7 | − | 9.96436e6i | 0.489166 | − | 0.355400i | −0.315698 | − | 0.948860i | \(-0.602239\pi\) |
0.804863 | + | 0.593460i | \(0.202239\pi\) | |||||||
\(954\) | 6.66058e6 | − | 4.83920e6i | 0.236942 | − | 0.172148i | ||||
\(955\) | −2.76628e7 | − | 3.60867e7i | −0.981494 | − | 1.28038i | ||||
\(956\) | −1.03042e7 | − | 7.48646e6i | −0.364645 | − | 0.264930i | ||||
\(957\) | −2.47924e7 | −0.875063 | ||||||||
\(958\) | 1.08782e7 | + | 7.90350e6i | 0.382952 | + | 0.278231i | ||||
\(959\) | 5.03234e6 | − | 1.54879e7i | 0.176695 | − | 0.543810i | ||||
\(960\) | 1.94289e6 | − | 686964.i | 0.0680408 | − | 0.0240578i | ||||
\(961\) | −8.66432e6 | − | 2.66660e7i | −0.302640 | − | 0.931429i | ||||
\(962\) | −3.82298e6 | + | 1.17659e7i | −0.133188 | + | 0.409909i | ||||
\(963\) | −4.30598e6 | + | 1.32524e7i | −0.149626 | + | 0.460501i | ||||
\(964\) | −5.14240e6 | − | 1.58267e7i | −0.178227 | − | 0.548526i | ||||
\(965\) | 4.46082e6 | − | 6.48387e6i | 0.154204 | − | 0.224138i | ||||
\(966\) | 1.50463e6 | − | 4.63076e6i | 0.0518783 | − | 0.159665i | ||||
\(967\) | 1.01661e6 | + | 738612.i | 0.0349614 | + | 0.0254010i | 0.605129 | − | 0.796128i | \(-0.293122\pi\) |
−0.570167 | + | 0.821529i | \(0.693122\pi\) | |||||||
\(968\) | 7.94872e6 | 0.272652 | ||||||||
\(969\) | −5.05079e6 | − | 3.66962e6i | −0.172803 | − | 0.125548i | ||||
\(970\) | −1.45766e7 | + | 5.15397e6i | −0.497423 | + | 0.175878i | ||||
\(971\) | −1.02165e7 | + | 7.42271e6i | −0.347739 | + | 0.252647i | −0.747920 | − | 0.663789i | \(-0.768947\pi\) |
0.400181 | + | 0.916436i | \(0.368947\pi\) | |||||||
\(972\) | 764346. | − | 555330.i | 0.0259492 | − | 0.0188532i | ||||
\(973\) | 7.67005e6 | + | 2.36060e7i | 0.259727 | + | 0.799356i | ||||
\(974\) | 3.21145e7 | 1.08468 | ||||||||
\(975\) | 6.30928e6 | − | 5.09914e6i | 0.212553 | − | 0.171785i | ||||
\(976\) | 7.12560e6 | 0.239440 | ||||||||
\(977\) | 2.87851e6 | + | 8.85915e6i | 0.0964788 | + | 0.296931i | 0.987636 | − | 0.156763i | \(-0.0501059\pi\) |
−0.891157 | + | 0.453694i | \(0.850106\pi\) | |||||||
\(978\) | −5.78507e6 | + | 4.20310e6i | −0.193402 | + | 0.140515i | ||||
\(979\) | 2.17313e7 | − | 1.57887e7i | 0.724652 | − | 0.526490i | ||||
\(980\) | −88061.6 | − | 3.42573e6i | −0.00292901 | − | 0.113943i | ||||
\(981\) | −6.86035e6 | − | 4.98434e6i | −0.227601 | − | 0.165362i | ||||
\(982\) | 2.64582e6 | 0.0875551 | ||||||||
\(983\) | −1.24753e7 | − | 9.06383e6i | −0.411781 | − | 0.299177i | 0.362541 | − | 0.931968i | \(-0.381909\pi\) |
−0.774323 | + | 0.632791i | \(0.781909\pi\) | |||||||
\(984\) | 2.89415e6 | − | 8.90727e6i | 0.0952868 | − | 0.293263i | ||||
\(985\) | 365780. | + | 1.42294e7i | 0.0120124 | + | 0.467301i | ||||
\(986\) | −9.36897e6 | − | 2.88347e7i | −0.306902 | − | 0.944547i | ||||
\(987\) | −236999. | + | 729408.i | −0.00774379 | + | 0.0238329i | ||||
\(988\) | 673169. | − | 2.07180e6i | 0.0219397 | − | 0.0675236i | ||||
\(989\) | −6.29262e6 | − | 1.93667e7i | −0.204569 | − | 0.629600i | ||||
\(990\) | −9.27380e6 | − | 2.75186e6i | −0.300725 | − | 0.0892358i | ||||
\(991\) | 8.60026e6 | − | 2.64689e7i | 0.278181 | − | 0.856153i | −0.710179 | − | 0.704021i | \(-0.751386\pi\) |
0.988360 | − | 0.152132i | \(-0.0486138\pi\) | |||||||
\(992\) | 636775. | + | 462644.i | 0.0205450 | + | 0.0149268i | ||||
\(993\) | −1.30278e7 | −0.419274 | ||||||||
\(994\) | 2.66880e7 | + | 1.93900e7i | 0.856742 | + | 0.622459i | ||||
\(995\) | 4.20394e6 | − | 6.11048e6i | 0.134617 | − | 0.195667i | ||||
\(996\) | −234402. | + | 170303.i | −0.00748710 | + | 0.00543970i | ||||
\(997\) | −2.66287e7 | + | 1.93469e7i | −0.848421 | + | 0.616414i | −0.924710 | − | 0.380672i | \(-0.875693\pi\) |
0.0762893 | + | 0.997086i | \(0.475693\pi\) | |||||||
\(998\) | 8.96562e6 | + | 2.75933e7i | 0.284940 | + | 0.876956i | ||||
\(999\) | −7.81699e6 | −0.247814 |
(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 | 150.6.g.d.31.5 | ✓ | 28 | |
25.21 | even | 5 | inner | 150.6.g.d.121.5 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.d.31.5 | ✓ | 28 | 1.1 | even | 1 | trivial | |
150.6.g.d.121.5 | yes | 28 | 25.21 | even | 5 | inner |