Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,7,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (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: | \(4.83113575602\) |
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 | 2.10 | ||
Character | \(\chi\) | \(=\) | 21.2 |
Dual form | 21.7.h.a.11.10 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.69684 | + | 3.28907i | 0.712105 | + | 0.411134i | 0.811840 | − | 0.583880i | \(-0.198466\pi\) |
−0.0997347 | + | 0.995014i | \(0.531799\pi\) | |||||||
\(3\) | −24.6534 | − | 11.0094i | −0.913091 | − | 0.407757i | ||||
\(4\) | −10.3640 | − | 17.9510i | −0.161937 | − | 0.280484i | ||||
\(5\) | −57.4599 | − | 33.1745i | −0.459679 | − | 0.265396i | 0.252230 | − | 0.967667i | \(-0.418836\pi\) |
−0.711909 | + | 0.702271i | \(0.752169\pi\) | |||||||
\(6\) | −104.236 | − | 143.806i | −0.482574 | − | 0.665769i | ||||
\(7\) | −329.948 | − | 93.7191i | −0.961948 | − | 0.273234i | ||||
\(8\) | − | 557.353i | − | 1.08858i | ||||||
\(9\) | 486.585 | + | 542.841i | 0.667469 | + | 0.744638i | ||||
\(10\) | −218.227 | − | 377.979i | −0.218227 | − | 0.377979i | ||||
\(11\) | 603.143 | − | 348.225i | 0.453150 | − | 0.261626i | −0.256010 | − | 0.966674i | \(-0.582408\pi\) |
0.709160 | + | 0.705048i | \(0.249075\pi\) | |||||||
\(12\) | 57.8782 | + | 556.654i | 0.0334944 | + | 0.322138i | ||||
\(13\) | −824.771 | −0.375408 | −0.187704 | − | 0.982226i | \(-0.560105\pi\) | ||||
−0.187704 | + | 0.982226i | \(0.560105\pi\) | |||||||
\(14\) | −1571.41 | − | 1619.13i | −0.572672 | − | 0.590061i | ||||
\(15\) | 1051.35 | + | 1450.47i | 0.311512 | + | 0.429768i | ||||
\(16\) | 1169.88 | − | 2026.29i | 0.285615 | − | 0.494700i | ||||
\(17\) | −4784.05 | + | 2762.07i | −0.973752 | + | 0.562196i | −0.900378 | − | 0.435108i | \(-0.856710\pi\) |
−0.0733743 | + | 0.997304i | \(0.523377\pi\) | |||||||
\(18\) | 986.554 | + | 4692.89i | 0.169162 | + | 0.804680i | ||||
\(19\) | 2527.23 | − | 4377.29i | 0.368454 | − | 0.638182i | −0.620870 | − | 0.783914i | \(-0.713220\pi\) |
0.989324 | + | 0.145732i | \(0.0465538\pi\) | |||||||
\(20\) | 1375.28i | 0.171910i | ||||||||
\(21\) | 7102.56 | + | 5943.04i | 0.766933 | + | 0.641728i | ||||
\(22\) | 4581.35 | 0.430254 | ||||||||
\(23\) | 17221.4 | + | 9942.79i | 1.41542 | + | 0.817193i | 0.995892 | − | 0.0905491i | \(-0.0288622\pi\) |
0.419528 | + | 0.907742i | \(0.362196\pi\) | |||||||
\(24\) | −6136.14 | + | 13740.7i | −0.443876 | + | 0.993972i | ||||
\(25\) | −5611.41 | − | 9719.25i | −0.359130 | − | 0.622032i | ||||
\(26\) | −4698.59 | − | 2712.73i | −0.267330 | − | 0.154343i | ||||
\(27\) | −6019.63 | − | 18739.9i | −0.305829 | − | 0.952087i | ||||
\(28\) | 1737.23 | + | 6894.19i | 0.0791377 | + | 0.314057i | ||||
\(29\) | − | 23408.7i | − | 0.959805i | −0.877322 | − | 0.479902i | \(-0.840672\pi\) | ||
0.877322 | − | 0.479902i | \(-0.159328\pi\) | |||||||
\(30\) | 1218.70 | + | 11721.0i | 0.0451370 | + | 0.434113i | ||||
\(31\) | −23180.0 | − | 40149.0i | −0.778088 | − | 1.34769i | −0.933042 | − | 0.359767i | \(-0.882856\pi\) |
0.154954 | − | 0.987922i | \(-0.450477\pi\) | |||||||
\(32\) | −17562.4 | + | 10139.7i | −0.535962 | + | 0.309438i | ||||
\(33\) | −18703.3 | + | 1944.68i | −0.520447 | + | 0.0541136i | ||||
\(34\) | −36338.6 | −0.924552 | ||||||||
\(35\) | 15849.7 | + | 16330.9i | 0.369672 | + | 0.380897i | ||||
\(36\) | 4701.55 | − | 14360.7i | 0.100771 | − | 0.307799i | ||||
\(37\) | 24177.8 | − | 41877.2i | 0.477323 | − | 0.826747i | −0.522340 | − | 0.852738i | \(-0.674941\pi\) |
0.999662 | + | 0.0259906i | \(0.00827401\pi\) | |||||||
\(38\) | 28794.4 | − | 16624.5i | 0.524757 | − | 0.302968i | ||||
\(39\) | 20333.4 | + | 9080.25i | 0.342781 | + | 0.153075i | ||||
\(40\) | −18489.9 | + | 32025.4i | −0.288905 | + | 0.500397i | ||||
\(41\) | 15904.7i | 0.230767i | 0.993321 | + | 0.115384i | \(0.0368097\pi\) | ||||
−0.993321 | + | 0.115384i | \(0.963190\pi\) | |||||||
\(42\) | 20915.1 | + | 57217.4i | 0.282301 | + | 0.772290i | ||||
\(43\) | 21757.0 | 0.273649 | 0.136824 | − | 0.990595i | \(-0.456310\pi\) | ||||
0.136824 | + | 0.990595i | \(0.456310\pi\) | |||||||
\(44\) | −12501.9 | − | 7217.99i | −0.146764 | − | 0.0847341i | ||||
\(45\) | −9950.65 | − | 47333.8i | −0.109198 | − | 0.519438i | ||||
\(46\) | 65405.1 | + | 113285.i | 0.671952 | + | 1.16386i | ||||
\(47\) | −33042.5 | − | 19077.1i | −0.318258 | − | 0.183747i | 0.332358 | − | 0.943153i | \(-0.392156\pi\) |
−0.650616 | + | 0.759407i | \(0.725489\pi\) | |||||||
\(48\) | −51149.9 | + | 37075.4i | −0.462510 | + | 0.335245i | ||||
\(49\) | 100082. | + | 61844.9i | 0.850687 | + | 0.525673i | ||||
\(50\) | − | 73825.4i | − | 0.590603i | ||||||
\(51\) | 148352. | − | 15424.9i | 1.11836 | − | 0.116282i | ||||
\(52\) | 8547.91 | + | 14805.4i | 0.0607925 | + | 0.105296i | ||||
\(53\) | −193312. | + | 111609.i | −1.29847 | + | 0.749670i | −0.980139 | − | 0.198310i | \(-0.936455\pi\) |
−0.318328 | + | 0.947981i | \(0.603121\pi\) | |||||||
\(54\) | 27344.1 | − | 126557.i | 0.173653 | − | 0.803723i | ||||
\(55\) | −46208.7 | −0.277738 | ||||||||
\(56\) | −52234.6 | + | 183898.i | −0.297437 | + | 1.04716i | ||||
\(57\) | −110496. | + | 80091.9i | −0.596655 | + | 0.432478i | ||||
\(58\) | 76992.9 | − | 133356.i | 0.394609 | − | 0.683482i | ||||
\(59\) | 271755. | − | 156898.i | 1.32319 | − | 0.763944i | 0.338953 | − | 0.940803i | \(-0.389927\pi\) |
0.984236 | + | 0.176860i | \(0.0565938\pi\) | |||||||
\(60\) | 15141.0 | − | 33905.4i | 0.0700974 | − | 0.156969i | ||||
\(61\) | −126472. | + | 219056.i | −0.557192 | + | 0.965085i | 0.440538 | + | 0.897734i | \(0.354788\pi\) |
−0.997729 | + | 0.0673504i | \(0.978545\pi\) | |||||||
\(62\) | − | 304963.i | − | 1.27959i | ||||||
\(63\) | −109673. | − | 224712.i | −0.438610 | − | 0.898677i | ||||
\(64\) | −283145. | −1.08011 | ||||||||
\(65\) | 47391.2 | + | 27361.3i | 0.172567 | + | 0.0996316i | ||||
\(66\) | −112946. | − | 50438.0i | −0.392861 | − | 0.175439i | ||||
\(67\) | 82947.6 | + | 143669.i | 0.275791 | + | 0.477683i | 0.970334 | − | 0.241767i | \(-0.0777270\pi\) |
−0.694544 | + | 0.719451i | \(0.744394\pi\) | |||||||
\(68\) | 99163.6 | + | 57252.1i | 0.315374 | + | 0.182081i | ||||
\(69\) | −315103. | − | 434722.i | −0.959191 | − | 1.32332i | ||||
\(70\) | 36579.5 | + | 145166.i | 0.106646 | + | 0.423223i | ||||
\(71\) | 298965.i | 0.835307i | 0.908606 | + | 0.417653i | \(0.137147\pi\) | ||||
−0.908606 | + | 0.417653i | \(0.862853\pi\) | |||||||
\(72\) | 302554. | − | 271200.i | 0.810598 | − | 0.726594i | ||||
\(73\) | −2216.28 | − | 3838.71i | −0.00569714 | − | 0.00986773i | 0.863163 | − | 0.504926i | \(-0.168480\pi\) |
−0.868860 | + | 0.495058i | \(0.835147\pi\) | |||||||
\(74\) | 275474. | − | 159045.i | 0.679808 | − | 0.392487i | ||||
\(75\) | 31337.2 | + | 301391.i | 0.0742808 | + | 0.714409i | ||||
\(76\) | −104769. | −0.238666 | ||||||||
\(77\) | −231641. | + | 58370.1i | −0.507392 | + | 0.127855i | ||||
\(78\) | 85970.8 | + | 118607.i | 0.181162 | + | 0.249935i | ||||
\(79\) | 310276. | − | 537413.i | 0.629313 | − | 1.09000i | −0.358377 | − | 0.933577i | \(-0.616670\pi\) |
0.987690 | − | 0.156425i | \(-0.0499969\pi\) | |||||||
\(80\) | −134442. | + | 77620.3i | −0.262583 | + | 0.151602i | ||||
\(81\) | −57911.3 | + | 528276.i | −0.108970 | + | 0.994045i | ||||
\(82\) | −52311.7 | + | 90606.6i | −0.0948762 | + | 0.164330i | ||||
\(83\) | 414931.i | 0.725674i | 0.931853 | + | 0.362837i | \(0.118192\pi\) | ||||
−0.931853 | + | 0.362837i | \(0.881808\pi\) | |||||||
\(84\) | 33072.3 | − | 189091.i | 0.0557991 | − | 0.319032i | ||||
\(85\) | 366521. | 0.596818 | ||||||||
\(86\) | 123946. | + | 71560.3i | 0.194867 | + | 0.112506i | ||||
\(87\) | −257716. | + | 577104.i | −0.391367 | + | 0.876389i | ||||
\(88\) | −194084. | − | 336164.i | −0.284801 | − | 0.493290i | ||||
\(89\) | −649685. | − | 375096.i | −0.921580 | − | 0.532074i | −0.0374412 | − | 0.999299i | \(-0.511921\pi\) |
−0.884139 | + | 0.467224i | \(0.845254\pi\) | |||||||
\(90\) | 98996.9 | − | 302381.i | 0.135798 | − | 0.414789i | ||||
\(91\) | 272131. | + | 77296.8i | 0.361123 | + | 0.102574i | ||||
\(92\) | − | 412188.i | − | 0.529336i | ||||||
\(93\) | 129450. | + | 1.24501e6i | 0.160936 | + | 1.54783i | ||||
\(94\) | −125492. | − | 217359.i | −0.151089 | − | 0.261694i | ||||
\(95\) | −290428. | + | 167679.i | −0.338741 | + | 0.195572i | ||||
\(96\) | 544605. | − | 56625.4i | 0.615557 | − | 0.0640026i | ||||
\(97\) | 212245. | 0.232553 | 0.116276 | − | 0.993217i | \(-0.462904\pi\) | ||||
0.116276 | + | 0.993217i | \(0.462904\pi\) | |||||||
\(98\) | 366742. | + | 681499.i | 0.389657 | + | 0.724081i | ||||
\(99\) | 482511. | + | 157970.i | 0.497281 | + | 0.162805i | ||||
\(100\) | −116313. | + | 201460.i | −0.116313 | + | 0.201460i | ||||
\(101\) | 1.27401e6 | − | 735552.i | 1.23654 | − | 0.713920i | 0.268159 | − | 0.963375i | \(-0.413585\pi\) |
0.968386 | + | 0.249455i | \(0.0802516\pi\) | |||||||
\(102\) | 895872. | + | 400067.i | 0.844200 | + | 0.376992i | ||||
\(103\) | 372502. | − | 645192.i | 0.340892 | − | 0.590442i | −0.643707 | − | 0.765272i | \(-0.722604\pi\) |
0.984599 | + | 0.174830i | \(0.0559377\pi\) | |||||||
\(104\) | 459688.i | 0.408661i | ||||||||
\(105\) | −210955. | − | 577110.i | −0.182231 | − | 0.498529i | ||||
\(106\) | −1.46836e6 | −1.23286 | ||||||||
\(107\) | −1.33788e6 | − | 772428.i | −1.09211 | − | 0.630531i | −0.157974 | − | 0.987443i | \(-0.550496\pi\) |
−0.934138 | + | 0.356912i | \(0.883830\pi\) | |||||||
\(108\) | −274012. | + | 302278.i | −0.217520 | + | 0.239958i | ||||
\(109\) | −958591. | − | 1.66033e6i | −0.740208 | − | 1.28208i | −0.952400 | − | 0.304850i | \(-0.901394\pi\) |
0.212192 | − | 0.977228i | \(-0.431940\pi\) | |||||||
\(110\) | −263244. | − | 151984.i | −0.197779 | − | 0.114188i | ||||
\(111\) | −1.05711e6 | + | 766234.i | −0.772950 | + | 0.560263i | ||||
\(112\) | −575902. | + | 558931.i | −0.409916 | + | 0.397836i | ||||
\(113\) | − | 1.61984e6i | − | 1.12263i | −0.827601 | − | 0.561317i | \(-0.810295\pi\) | ||
0.827601 | − | 0.561317i | \(-0.189705\pi\) | |||||||
\(114\) | −892908. | + | 92840.3i | −0.602688 | + | 0.0626646i | ||||
\(115\) | −659694. | − | 1.14262e6i | −0.433759 | − | 0.751293i | ||||
\(116\) | −420208. | + | 242607.i | −0.269209 | + | 0.155428i | ||||
\(117\) | −401321. | − | 447719.i | −0.250573 | − | 0.279543i | ||||
\(118\) | 2.06420e6 | 1.25633 | ||||||||
\(119\) | 1.83735e6 | − | 462983.i | 1.09031 | − | 0.274742i | ||||
\(120\) | 808421. | − | 585974.i | 0.467836 | − | 0.339105i | ||||
\(121\) | −643260. | + | 1.11416e6i | −0.363103 | + | 0.628913i | ||||
\(122\) | −1.44098e6 | + | 831951.i | −0.793559 | + | 0.458161i | ||||
\(123\) | 175102. | − | 392106.i | 0.0940968 | − | 0.210711i | ||||
\(124\) | −480475. | + | 832207.i | −0.252003 | + | 0.436482i | ||||
\(125\) | 1.78132e6i | 0.912038i | ||||||||
\(126\) | 114302. | − | 1.64087e6i | 0.0571403 | − | 0.820281i | ||||
\(127\) | 2.34506e6 | 1.14484 | 0.572418 | − | 0.819962i | \(-0.306005\pi\) | ||||
0.572418 | + | 0.819962i | \(0.306005\pi\) | |||||||
\(128\) | −489039. | − | 282347.i | −0.233192 | − | 0.134634i | ||||
\(129\) | −536385. | − | 239532.i | −0.249866 | − | 0.111582i | ||||
\(130\) | 179987. | + | 311746.i | 0.0819239 | + | 0.141896i | ||||
\(131\) | 3.22497e6 | + | 1.86194e6i | 1.43454 | + | 0.828229i | 0.997462 | − | 0.0711964i | \(-0.0226817\pi\) |
0.437073 | + | 0.899426i | \(0.356015\pi\) | |||||||
\(132\) | 228750. | + | 315588.i | 0.0994578 | + | 0.137214i | ||||
\(133\) | −1.24409e6 | + | 1.20743e6i | −0.528806 | + | 0.513223i | ||||
\(134\) | 1.09128e6i | 0.453548i | ||||||||
\(135\) | −275800. | + | 1.27649e6i | −0.112097 | + | 0.518820i | ||||
\(136\) | 1.53945e6 | + | 2.66640e6i | 0.611996 | + | 1.06001i | ||||
\(137\) | −66461.5 | + | 38371.6i | −0.0258469 | + | 0.0149227i | −0.512868 | − | 0.858468i | \(-0.671417\pi\) |
0.487021 | + | 0.873390i | \(0.338084\pi\) | |||||||
\(138\) | −365259. | − | 3.51294e6i | −0.138983 | − | 1.33670i | ||||
\(139\) | 4.61947e6 | 1.72008 | 0.860038 | − | 0.510230i | \(-0.170440\pi\) | ||||
0.860038 | + | 0.510230i | \(0.170440\pi\) | |||||||
\(140\) | 128890. | − | 453771.i | 0.0469715 | − | 0.165368i | ||||
\(141\) | 604584. | + | 834096.i | 0.215675 | + | 0.297549i | ||||
\(142\) | −983319. | + | 1.70316e6i | −0.343423 | + | 0.594826i | ||||
\(143\) | −497455. | + | 287205.i | −0.170116 | + | 0.0982165i | ||||
\(144\) | 1.66920e6 | − | 350904.i | 0.559012 | − | 0.117517i | ||||
\(145\) | −776570. | + | 1.34506e6i | −0.254728 | + | 0.441202i | ||||
\(146\) | − | 29158.1i | − | 0.00936915i | ||||||
\(147\) | −1.78650e6 | − | 2.62654e6i | −0.562408 | − | 0.826860i | ||||
\(148\) | −1.00231e6 | −0.309185 | ||||||||
\(149\) | −1.08263e6 | − | 625060.i | −0.327283 | − | 0.188957i | 0.327351 | − | 0.944903i | \(-0.393844\pi\) |
−0.654634 | + | 0.755946i | \(0.727177\pi\) | |||||||
\(150\) | −812775. | + | 1.82005e6i | −0.240822 | + | 0.539274i | ||||
\(151\) | −2.72866e6 | − | 4.72617e6i | −0.792534 | − | 1.37271i | −0.924393 | − | 0.381441i | \(-0.875428\pi\) |
0.131859 | − | 0.991268i | \(-0.457905\pi\) | |||||||
\(152\) | −2.43970e6 | − | 1.40856e6i | −0.694712 | − | 0.401092i | ||||
\(153\) | −3.82721e6 | − | 1.25299e6i | −1.06858 | − | 0.349844i | ||||
\(154\) | −1.51161e6 | − | 429360.i | −0.413882 | − | 0.117560i | ||||
\(155\) | 3.07594e6i | 0.826005i | ||||||||
\(156\) | −47736.3 | − | 459112.i | −0.0125740 | − | 0.120933i | ||||
\(157\) | 1.44836e6 | + | 2.50863e6i | 0.374263 | + | 0.648243i | 0.990216 | − | 0.139540i | \(-0.0445623\pi\) |
−0.615953 | + | 0.787783i | \(0.711229\pi\) | |||||||
\(158\) | 3.53519e6 | − | 2.04104e6i | 0.896274 | − | 0.517464i | ||||
\(159\) | 5.99455e6 | − | 623285.i | 1.49130 | − | 0.155058i | ||||
\(160\) | 1.34551e6 | 0.328494 | ||||||||
\(161\) | −4.75034e6 | − | 4.89458e6i | −1.13828 | − | 1.17284i | ||||
\(162\) | −2.06745e6 | + | 2.81903e6i | −0.486284 | + | 0.663063i | ||||
\(163\) | 244572. | − | 423611.i | 0.0564734 | − | 0.0978149i | −0.836407 | − | 0.548109i | \(-0.815348\pi\) |
0.892880 | + | 0.450295i | \(0.148681\pi\) | |||||||
\(164\) | 285504. | − | 164836.i | 0.0647264 | − | 0.0373698i | ||||
\(165\) | 1.13920e6 | + | 508731.i | 0.253600 | + | 0.113250i | ||||
\(166\) | −1.36474e6 | + | 2.36380e6i | −0.298349 | + | 0.516756i | ||||
\(167\) | − | 2.69550e6i | − | 0.578749i | −0.957216 | − | 0.289375i | \(-0.906553\pi\) | ||
0.957216 | − | 0.289375i | \(-0.0934473\pi\) | |||||||
\(168\) | 3.31237e6 | − | 3.95864e6i | 0.698572 | − | 0.834868i | ||||
\(169\) | −4.14656e6 | −0.859069 | ||||||||
\(170\) | 2.08801e6 | + | 1.20551e6i | 0.424997 | + | 0.245372i | ||||
\(171\) | 3.60588e6 | − | 758039.i | 0.721146 | − | 0.151601i | ||||
\(172\) | −225489. | − | 390559.i | −0.0443139 | − | 0.0767540i | ||||
\(173\) | 546938. | + | 315775.i | 0.105633 | + | 0.0609873i | 0.551886 | − | 0.833920i | \(-0.313908\pi\) |
−0.446253 | + | 0.894907i | \(0.647242\pi\) | |||||||
\(174\) | −3.36631e6 | + | 2.44003e6i | −0.639008 | + | 0.463177i | ||||
\(175\) | 940595. | + | 3.73274e6i | 0.175505 | + | 0.696488i | ||||
\(176\) | − | 1.62953e6i | − | 0.298898i | ||||||
\(177\) | −8.42706e6 | + | 876205.i | −1.51969 | + | 0.158011i | ||||
\(178\) | −2.46744e6 | − | 4.27373e6i | −0.437508 | − | 0.757786i | ||||
\(179\) | 1.23874e6 | − | 715187.i | 0.215984 | − | 0.124698i | −0.388105 | − | 0.921615i | \(-0.626870\pi\) |
0.604089 | + | 0.796917i | \(0.293537\pi\) | |||||||
\(180\) | −746558. | + | 669190.i | −0.128011 | + | 0.114745i | ||||
\(181\) | 3.92186e6 | 0.661388 | 0.330694 | − | 0.943738i | \(-0.392717\pi\) | ||||
0.330694 | + | 0.943738i | \(0.392717\pi\) | |||||||
\(182\) | 1.29606e6 | + | 1.33541e6i | 0.214986 | + | 0.221513i | ||||
\(183\) | 5.52965e6 | − | 4.00810e6i | 0.902286 | − | 0.654011i | ||||
\(184\) | 5.54165e6 | − | 9.59841e6i | 0.889580 | − | 1.54080i | ||||
\(185\) | −2.77851e6 | + | 1.60417e6i | −0.438830 | + | 0.253359i | ||||
\(186\) | −3.35747e6 | + | 7.51840e6i | −0.521763 | + | 1.16839i | ||||
\(187\) | −1.92364e6 | + | 3.33185e6i | −0.294171 | + | 0.509519i | ||||
\(188\) | 790860.i | 0.119022i | ||||||||
\(189\) | 229876. | + | 6.74735e6i | 0.0340492 | + | 0.999420i | ||||
\(190\) | −2.20603e6 | −0.321626 | ||||||||
\(191\) | 410709. | + | 237123.i | 0.0589432 | + | 0.0340309i | 0.529182 | − | 0.848508i | \(-0.322499\pi\) |
−0.470239 | + | 0.882539i | \(0.655832\pi\) | |||||||
\(192\) | 6.98050e6 | + | 3.11726e6i | 0.986240 | + | 0.440423i | ||||
\(193\) | 109690. | + | 189988.i | 0.0152579 | + | 0.0264274i | 0.873554 | − | 0.486728i | \(-0.161810\pi\) |
−0.858296 | + | 0.513156i | \(0.828476\pi\) | |||||||
\(194\) | 1.20912e6 | + | 698088.i | 0.165602 | + | 0.0956104i | ||||
\(195\) | −867124. | − | 1.19630e6i | −0.116944 | − | 0.161338i | ||||
\(196\) | 72921.1 | − | 2.43753e6i | 0.00968468 | − | 0.323730i | ||||
\(197\) | 7.90337e6i | 1.03374i | 0.856062 | + | 0.516872i | \(0.172904\pi\) | ||||
−0.856062 | + | 0.516872i | \(0.827096\pi\) | |||||||
\(198\) | 2.22921e6 | + | 2.48694e6i | 0.287181 | + | 0.320383i | ||||
\(199\) | −4.44349e6 | − | 7.69635e6i | −0.563852 | − | 0.976620i | −0.997155 | − | 0.0753721i | \(-0.975986\pi\) |
0.433304 | − | 0.901248i | \(-0.357348\pi\) | |||||||
\(200\) | −5.41705e6 | + | 3.12754e6i | −0.677132 | + | 0.390942i | ||||
\(201\) | −463225. | − | 4.45515e6i | −0.0570433 | − | 0.548624i | ||||
\(202\) | 9.67714e6 | 1.17407 | ||||||||
\(203\) | −2.19384e6 | + | 7.72365e6i | −0.262251 | + | 0.923282i | ||||
\(204\) | −1.81441e6 | − | 2.50320e6i | −0.213720 | − | 0.294852i | ||||
\(205\) | 527630. | − | 913882.i | 0.0612446 | − | 0.106079i | ||||
\(206\) | 4.24417e6 | − | 2.45037e6i | 0.485502 | − | 0.280304i | ||||
\(207\) | 2.98233e6 | + | 1.41865e7i | 0.336236 | + | 1.59943i | ||||
\(208\) | −964883. | + | 1.67123e6i | −0.107222 | + | 0.185714i | ||||
\(209\) | − | 3.52017e6i | − | 0.385589i | ||||||
\(210\) | 696379. | − | 3.98155e6i | 0.0751948 | − | 0.429927i | ||||
\(211\) | 3.95802e6 | 0.421337 | 0.210669 | − | 0.977558i | \(-0.432436\pi\) | ||||
0.210669 | + | 0.977558i | \(0.432436\pi\) | |||||||
\(212\) | 4.00696e6 | + | 2.31342e6i | 0.420540 | + | 0.242799i | ||||
\(213\) | 3.29144e6 | − | 7.37053e6i | 0.340602 | − | 0.762711i | ||||
\(214\) | −5.08114e6 | − | 8.80080e6i | −0.518466 | − | 0.898009i | ||||
\(215\) | −1.25015e6 | − | 721776.i | −0.125791 | − | 0.0726252i | ||||
\(216\) | −1.04448e7 | + | 3.35506e6i | −1.03642 | + | 0.332919i | ||||
\(217\) | 3.88548e6 | + | 1.54195e7i | 0.380246 | + | 1.50901i | ||||
\(218\) | − | 1.26115e7i | − | 1.21730i | ||||||
\(219\) | 12376.9 | + | 119038.i | 0.00117837 | + | 0.0113332i | ||||
\(220\) | 478906. | + | 829490.i | 0.0449762 | + | 0.0779010i | ||||
\(221\) | 3.94574e6 | − | 2.27807e6i | 0.365554 | − | 0.211053i | ||||
\(222\) | −8.54239e6 | + | 888197.i | −0.780766 | + | 0.0811802i | ||||
\(223\) | −2.07065e7 | −1.86720 | −0.933601 | − | 0.358313i | \(-0.883352\pi\) | ||||
−0.933601 | + | 0.358313i | \(0.883352\pi\) | |||||||
\(224\) | 6.74496e6 | − | 1.69963e6i | 0.600116 | − | 0.151220i | ||||
\(225\) | 2.54558e6 | − | 7.77534e6i | 0.223480 | − | 0.682609i | ||||
\(226\) | 5.32779e6 | − | 9.22800e6i | 0.461553 | − | 0.799433i | ||||
\(227\) | −4.71060e6 | + | 2.71967e6i | −0.402716 | + | 0.232508i | −0.687655 | − | 0.726038i | \(-0.741360\pi\) |
0.284939 | + | 0.958546i | \(0.408027\pi\) | |||||||
\(228\) | 2.58291e6 | + | 1.15344e6i | 0.217924 | + | 0.0973177i | ||||
\(229\) | 636788. | − | 1.10295e6i | 0.0530259 | − | 0.0918436i | −0.838294 | − | 0.545218i | \(-0.816447\pi\) |
0.891320 | + | 0.453375i | \(0.149780\pi\) | |||||||
\(230\) | − | 8.67912e6i | − | 0.713333i | ||||||
\(231\) | 6.35337e6 | + | 1.11121e6i | 0.515429 | + | 0.0901492i | ||||
\(232\) | −1.30469e7 | −1.04482 | ||||||||
\(233\) | 1.16591e7 | + | 6.73138e6i | 0.921716 | + | 0.532153i | 0.884182 | − | 0.467142i | \(-0.154716\pi\) |
0.0375341 | + | 0.999295i | \(0.488050\pi\) | |||||||
\(234\) | −813681. | − | 3.87056e6i | −0.0635048 | − | 0.302083i | ||||
\(235\) | 1.26575e6 | + | 2.19234e6i | 0.0975311 | + | 0.168929i | ||||
\(236\) | −5.63294e6 | − | 3.25218e6i | −0.428547 | − | 0.247422i | ||||
\(237\) | −1.35660e7 | + | 9.83313e6i | −1.01908 | + | 0.738664i | ||||
\(238\) | 1.19899e7 | + | 3.40562e6i | 0.889371 | + | 0.252619i | ||||
\(239\) | 1.37101e6i | 0.100426i | 0.998739 | + | 0.0502132i | \(0.0159901\pi\) | ||||
−0.998739 | + | 0.0502132i | \(0.984010\pi\) | |||||||
\(240\) | 4.16902e6 | − | 433475.i | 0.301579 | − | 0.0313567i | ||||
\(241\) | −6.49292e6 | − | 1.12461e7i | −0.463862 | − | 0.803432i | 0.535287 | − | 0.844670i | \(-0.320203\pi\) |
−0.999149 | + | 0.0412376i | \(0.986870\pi\) | |||||||
\(242\) | −7.32910e6 | + | 4.23146e6i | −0.517136 | + | 0.298568i | ||||
\(243\) | 7.24373e6 | − | 1.23863e7i | 0.504828 | − | 0.863220i | ||||
\(244\) | 5.24301e6 | 0.360921 | ||||||||
\(245\) | −3.69905e6 | − | 6.87378e6i | −0.251531 | − | 0.467409i | ||||
\(246\) | 2.28719e6 | − | 1.65784e6i | 0.153637 | − | 0.111362i | ||||
\(247\) | −2.08438e6 | + | 3.61026e6i | −0.138321 | + | 0.239578i | ||||
\(248\) | −2.23772e7 | + | 1.29195e7i | −1.46707 | + | 0.847011i | ||||
\(249\) | 4.56815e6 | − | 1.02295e7i | 0.295898 | − | 0.662606i | ||||
\(250\) | −5.85891e6 | + | 1.01479e7i | −0.374970 | + | 0.649467i | ||||
\(251\) | − | 1.87672e7i | − | 1.18680i | −0.804907 | − | 0.593401i | \(-0.797785\pi\) | ||
0.804907 | − | 0.593401i | \(-0.202215\pi\) | |||||||
\(252\) | −2.89714e6 | + | 4.29765e6i | −0.181037 | + | 0.268552i | ||||
\(253\) | 1.38493e7 | 0.855197 | ||||||||
\(254\) | 1.33595e7 | + | 7.71309e6i | 0.815244 | + | 0.470681i | ||||
\(255\) | −9.03600e6 | − | 4.03519e6i | −0.544949 | − | 0.243356i | ||||
\(256\) | 7.20332e6 | + | 1.24765e7i | 0.429351 | + | 0.743658i | ||||
\(257\) | −7.23297e6 | − | 4.17596e6i | −0.426105 | − | 0.246012i | 0.271581 | − | 0.962416i | \(-0.412454\pi\) |
−0.697686 | + | 0.716404i | \(0.745787\pi\) | |||||||
\(258\) | −2.26786e6 | − | 3.12878e6i | −0.132056 | − | 0.182187i | ||||
\(259\) | −1.19021e7 | + | 1.15514e7i | −0.685054 | + | 0.664867i | ||||
\(260\) | − | 1.13429e6i | − | 0.0645363i | ||||||
\(261\) | 1.27072e7 | − | 1.13903e7i | 0.714707 | − | 0.640640i | ||||
\(262\) | 1.22481e7 | + | 2.12143e7i | 0.681027 | + | 1.17957i | ||||
\(263\) | −5.57378e6 | + | 3.21803e6i | −0.306396 | + | 0.176898i | −0.645313 | − | 0.763919i | \(-0.723273\pi\) |
0.338917 | + | 0.940816i | \(0.389940\pi\) | |||||||
\(264\) | 1.08387e6 | + | 1.04243e7i | 0.0589070 | + | 0.566548i | ||||
\(265\) | 1.48102e7 | 0.795837 | ||||||||
\(266\) | −1.10587e7 | + | 2.78663e6i | −0.587570 | + | 0.148059i | ||||
\(267\) | 1.18874e7 | + | 1.64001e7i | 0.624529 | + | 0.861613i | ||||
\(268\) | 1.71934e6 | − | 2.97798e6i | 0.0893216 | − | 0.154710i | ||||
\(269\) | 2.66372e7 | − | 1.53790e7i | 1.36846 | − | 0.790080i | 0.377728 | − | 0.925917i | \(-0.376705\pi\) |
0.990731 | + | 0.135836i | \(0.0433720\pi\) | |||||||
\(270\) | −5.76966e6 | + | 6.36484e6i | −0.293129 | + | 0.323368i | ||||
\(271\) | −2.63106e6 | + | 4.55713e6i | −0.132197 | + | 0.228973i | −0.924523 | − | 0.381125i | \(-0.875537\pi\) |
0.792326 | + | 0.610098i | \(0.208870\pi\) | |||||||
\(272\) | 1.29252e7i | 0.642287i | ||||||||
\(273\) | −5.85799e6 | − | 4.90164e6i | −0.287912 | − | 0.240909i | ||||
\(274\) | −504828. | −0.0245410 | ||||||||
\(275\) | −6.76896e6 | − | 3.90806e6i | −0.325480 | − | 0.187916i | ||||
\(276\) | −4.53795e6 | + | 1.01618e7i | −0.215840 | + | 0.483332i | ||||
\(277\) | −369234. | − | 639531.i | −0.0173725 | − | 0.0300900i | 0.857208 | − | 0.514970i | \(-0.172197\pi\) |
−0.874581 | + | 0.484880i | \(0.838863\pi\) | |||||||
\(278\) | 2.63164e7 | + | 1.51938e7i | 1.22488 | + | 0.707182i | ||||
\(279\) | 1.05155e7 | − | 3.21189e7i | 0.484190 | − | 1.47893i | ||||
\(280\) | 9.10210e6 | − | 8.83387e6i | 0.414636 | − | 0.402418i | ||||
\(281\) | 2.15513e7i | 0.971300i | 0.874153 | + | 0.485650i | \(0.161417\pi\) | ||||
−0.874153 | + | 0.485650i | \(0.838583\pi\) | |||||||
\(282\) | 700817. | + | 6.74024e6i | 0.0312505 | + | 0.300558i | ||||
\(283\) | 2.00616e6 | + | 3.47477e6i | 0.0885128 | + | 0.153309i | 0.906883 | − | 0.421383i | \(-0.138455\pi\) |
−0.818370 | + | 0.574692i | \(0.805122\pi\) | |||||||
\(284\) | 5.36671e6 | − | 3.09847e6i | 0.234290 | − | 0.135267i | ||||
\(285\) | 9.00611e6 | − | 936412.i | 0.389048 | − | 0.0404513i | ||||
\(286\) | −3.77856e6 | −0.161521 | ||||||||
\(287\) | 1.49057e6 | − | 5.24772e6i | 0.0630533 | − | 0.221986i | ||||
\(288\) | −1.40498e7 | − | 4.59978e6i | −0.588157 | − | 0.192557i | ||||
\(289\) | 3.18928e6 | − | 5.52399e6i | 0.132129 | − | 0.228854i | ||||
\(290\) | −8.84800e6 | + | 5.10839e6i | −0.362786 | + | 0.209455i | ||||
\(291\) | −5.23256e6 | − | 2.33669e6i | −0.212342 | − | 0.0948249i | ||||
\(292\) | −45939.0 | + | 79568.8i | −0.00184516 | + | 0.00319591i | ||||
\(293\) | 3.06845e7i | 1.21988i | 0.792448 | + | 0.609940i | \(0.208806\pi\) | ||||
−0.792448 | + | 0.609940i | \(0.791194\pi\) | |||||||
\(294\) | −1.53853e6 | − | 2.08389e7i | −0.0605430 | − | 0.820037i | ||||
\(295\) | −2.08200e7 | −0.810990 | ||||||||
\(296\) | −2.33404e7 | − | 1.34756e7i | −0.899980 | − | 0.519604i | ||||
\(297\) | −1.01564e7 | − | 9.20667e6i | −0.387677 | − | 0.351425i | ||||
\(298\) | −4.11173e6 | − | 7.12173e6i | −0.155373 | − | 0.269114i | ||||
\(299\) | −1.42037e7 | − | 8.20052e6i | −0.531360 | − | 0.306781i | ||||
\(300\) | 5.08548e6 | − | 3.68615e6i | 0.188351 | − | 0.136524i | ||||
\(301\) | −7.17867e6 | − | 2.03905e6i | −0.263236 | − | 0.0747700i | ||||
\(302\) | − | 3.58990e7i | − | 1.30335i | ||||||
\(303\) | −3.95068e7 | + | 4.10773e6i | −1.42018 | + | 0.147664i | ||||
\(304\) | −5.91311e6 | − | 1.02418e7i | −0.210472 | − | 0.364549i | ||||
\(305\) | 1.45341e7 | − | 8.39128e6i | 0.512259 | − | 0.295753i | ||||
\(306\) | −1.76818e7 | − | 1.97261e7i | −0.617110 | − | 0.688457i | ||||
\(307\) | −7.56198e6 | −0.261349 | −0.130674 | − | 0.991425i | \(-0.541714\pi\) | ||||
−0.130674 | + | 0.991425i | \(0.541714\pi\) | |||||||
\(308\) | 3.44852e6 | + | 3.55323e6i | 0.118027 | + | 0.121611i | ||||
\(309\) | −1.62866e7 | + | 1.18052e7i | −0.552022 | + | 0.400126i | ||||
\(310\) | −1.01170e7 | + | 1.75231e7i | −0.339599 | + | 0.588203i | ||||
\(311\) | 4.11760e7 | − | 2.37730e7i | 1.36887 | − | 0.790319i | 0.378089 | − | 0.925769i | \(-0.376581\pi\) |
0.990784 | + | 0.135450i | \(0.0432479\pi\) | |||||||
\(312\) | 5.06091e6 | − | 1.13329e7i | 0.166634 | − | 0.373145i | ||||
\(313\) | 1.45386e7 | − | 2.51816e7i | 0.474121 | − | 0.821201i | −0.525440 | − | 0.850831i | \(-0.676099\pi\) |
0.999561 | + | 0.0296294i | \(0.00943270\pi\) | |||||||
\(314\) | 1.90550e7i | 0.615490i | ||||||||
\(315\) | −1.15288e6 | + | 1.65502e7i | −0.0368852 | + | 0.529508i | ||||
\(316\) | −1.28628e7 | −0.407637 | ||||||||
\(317\) | −2.54469e7 | − | 1.46918e7i | −0.798834 | − | 0.461207i | 0.0442294 | − | 0.999021i | \(-0.485917\pi\) |
−0.843063 | + | 0.537814i | \(0.819250\pi\) | |||||||
\(318\) | 3.62001e7 | + | 1.61658e7i | 1.12571 | + | 0.502707i | ||||
\(319\) | −8.15148e6 | − | 1.41188e7i | −0.251110 | − | 0.434936i | ||||
\(320\) | 1.62695e7 | + | 9.39318e6i | 0.496505 | + | 0.286657i | ||||
\(321\) | 2.44795e7 | + | 3.37723e7i | 0.740094 | + | 1.02105i | ||||
\(322\) | −1.09633e7 | − | 4.35079e7i | −0.328379 | − | 1.30317i | ||||
\(323\) | 2.79215e7i | 0.828575i | ||||||||
\(324\) | 1.00833e7 | − | 4.43549e6i | 0.296460 | − | 0.130409i | ||||
\(325\) | 4.62813e6 | + | 8.01615e6i | 0.134820 | + | 0.233515i | ||||
\(326\) | 2.78658e6 | − | 1.60883e6i | 0.0804301 | − | 0.0464363i | ||||
\(327\) | 5.35330e6 | + | 5.14864e7i | 0.153101 | + | 1.47248i | ||||
\(328\) | 8.86453e6 | 0.251208 | ||||||||
\(329\) | 9.11443e6 | + | 9.39117e6i | 0.255942 | + | 0.263713i | ||||
\(330\) | 4.81661e6 | + | 6.64509e6i | 0.134029 | + | 0.184909i | ||||
\(331\) | −1.71441e7 | + | 2.96945e7i | −0.472749 | + | 0.818826i | −0.999514 | − | 0.0311858i | \(-0.990072\pi\) |
0.526764 | + | 0.850011i | \(0.323405\pi\) | |||||||
\(332\) | 7.44840e6 | − | 4.30034e6i | 0.203540 | − | 0.117514i | ||||
\(333\) | 3.44972e7 | − | 7.25211e6i | 0.934225 | − | 0.196396i | ||||
\(334\) | 8.86571e6 | − | 1.53559e7i | 0.237944 | − | 0.412130i | ||||
\(335\) | − | 1.10070e7i | − | 0.292775i | ||||||
\(336\) | 2.03515e7 | − | 7.43922e6i | 0.536511 | − | 0.196115i | ||||
\(337\) | 5.34960e7 | 1.39776 | 0.698878 | − | 0.715241i | \(-0.253683\pi\) | ||||
0.698878 | + | 0.715241i | \(0.253683\pi\) | |||||||
\(338\) | −2.36223e7 | − | 1.36384e7i | −0.611748 | − | 0.353193i | ||||
\(339\) | −1.78336e7 | + | 3.99348e7i | −0.457761 | + | 1.02507i | ||||
\(340\) | −3.79862e6 | − | 6.57940e6i | −0.0966471 | − | 0.167398i | ||||
\(341\) | −2.79617e7 | − | 1.61437e7i | −0.705182 | − | 0.407137i | ||||
\(342\) | 2.30354e7 | + | 7.54158e6i | 0.575860 | + | 0.188532i | ||||
\(343\) | −2.72260e7 | − | 2.97852e7i | −0.674685 | − | 0.738106i | ||||
\(344\) | − | 1.21263e7i | − | 0.297889i | ||||||
\(345\) | 3.68409e6 | + | 3.54324e7i | 0.0897167 | + | 0.862867i | ||||
\(346\) | 2.07721e6 | + | 3.59784e6i | 0.0501479 | + | 0.0868587i | ||||
\(347\) | −3.17861e7 | + | 1.83517e7i | −0.760762 | + | 0.439226i | −0.829569 | − | 0.558404i | \(-0.811414\pi\) |
0.0688072 | + | 0.997630i | \(0.478081\pi\) | |||||||
\(348\) | 1.30305e7 | − | 1.35485e6i | 0.309189 | − | 0.0321480i | ||||
\(349\) | 3.14402e7 | 0.739620 | 0.369810 | − | 0.929107i | \(-0.379423\pi\) | ||||
0.369810 | + | 0.929107i | \(0.379423\pi\) | |||||||
\(350\) | −6.91885e6 | + | 2.43585e7i | −0.161373 | + | 0.568129i | ||||
\(351\) | 4.96481e6 | + | 1.54561e7i | 0.114810 | + | 0.357421i | ||||
\(352\) | −7.06176e6 | + | 1.22313e7i | −0.161914 | + | 0.280443i | ||||
\(353\) | −2.35735e7 | + | 1.36102e7i | −0.535920 | + | 0.309414i | −0.743424 | − | 0.668820i | \(-0.766799\pi\) |
0.207503 | + | 0.978234i | \(0.433466\pi\) | |||||||
\(354\) | −5.08896e7 | − | 2.27256e7i | −1.14715 | − | 0.512278i | ||||
\(355\) | 9.91802e6 | − | 1.71785e7i | 0.221687 | − | 0.383973i | ||||
\(356\) | 1.55500e7i | 0.344651i | ||||||||
\(357\) | −5.03941e7 | − | 8.81399e6i | −1.10758 | − | 0.193717i | ||||
\(358\) | 9.40921e6 | 0.205071 | ||||||||
\(359\) | −3.24692e7 | − | 1.87461e7i | −0.701760 | − | 0.405162i | 0.106242 | − | 0.994340i | \(-0.466118\pi\) |
−0.808003 | + | 0.589179i | \(0.799451\pi\) | |||||||
\(360\) | −2.63816e7 | + | 5.54602e6i | −0.565450 | + | 0.118871i | ||||
\(361\) | 1.07492e7 | + | 1.86181e7i | 0.228483 | + | 0.395744i | ||||
\(362\) | 2.23422e7 | + | 1.28993e7i | 0.470978 | + | 0.271919i | ||||
\(363\) | 2.81248e7 | − | 2.03859e7i | 0.587990 | − | 0.426197i | ||||
\(364\) | −1.43282e6 | − | 5.68612e6i | −0.0297089 | − | 0.117899i | ||||
\(365\) | 294096.i | 0.00604798i | ||||||||
\(366\) | 4.46845e7 | − | 4.64608e6i | 0.911409 | − | 0.0947639i | ||||
\(367\) | 1.03822e6 | + | 1.79824e6i | 0.0210034 | + | 0.0363789i | 0.876336 | − | 0.481700i | \(-0.159981\pi\) |
−0.855333 | + | 0.518079i | \(0.826647\pi\) | |||||||
\(368\) | 4.02940e7 | − | 2.32638e7i | 0.808531 | − | 0.466806i | ||||
\(369\) | −8.63372e6 | + | 7.73898e6i | −0.171838 | + | 0.154030i | ||||
\(370\) | −2.11050e7 | −0.416658 | ||||||||
\(371\) | 7.42428e7 | − | 1.87080e7i | 1.45389 | − | 0.366359i | ||||
\(372\) | 2.10075e7 | − | 1.52270e7i | 0.408080 | − | 0.295792i | ||||
\(373\) | −5.00434e6 | + | 8.66777e6i | −0.0964318 | + | 0.167025i | −0.910205 | − | 0.414157i | \(-0.864076\pi\) |
0.813773 | + | 0.581182i | \(0.197410\pi\) | |||||||
\(374\) | −2.19174e7 | + | 1.26540e7i | −0.418961 | + | 0.241887i | ||||
\(375\) | 1.96114e7 | − | 4.39158e7i | 0.371890 | − | 0.832773i | ||||
\(376\) | −1.06327e7 | + | 1.84164e7i | −0.200023 | + | 0.346450i | ||||
\(377\) | 1.93068e7i | 0.360318i | ||||||||
\(378\) | −2.08830e7 | + | 3.91947e7i | −0.386649 | + | 0.725691i | ||||
\(379\) | 3.16574e7 | 0.581511 | 0.290755 | − | 0.956797i | \(-0.406093\pi\) | ||||
0.290755 | + | 0.956797i | \(0.406093\pi\) | |||||||
\(380\) | 6.01999e6 | + | 3.47564e6i | 0.109710 | + | 0.0633409i | ||||
\(381\) | −5.78139e7 | − | 2.58178e7i | −1.04534 | − | 0.466815i | ||||
\(382\) | 1.55983e6 | + | 2.70170e6i | 0.0279825 | + | 0.0484672i | ||||
\(383\) | −7.81038e6 | − | 4.50932e6i | −0.139020 | − | 0.0802629i | 0.428877 | − | 0.903363i | \(-0.358909\pi\) |
−0.567897 | + | 0.823100i | \(0.692243\pi\) | |||||||
\(384\) | 8.94802e6 | + | 1.23449e7i | 0.158028 | + | 0.218018i | ||||
\(385\) | 1.52465e7 | + | 4.33064e6i | 0.267170 | + | 0.0758874i | ||||
\(386\) | 1.44311e6i | 0.0250922i | ||||||||
\(387\) | 1.05866e7 | + | 1.18106e7i | 0.182652 | + | 0.203769i | ||||
\(388\) | −2.19970e6 | − | 3.80999e6i | −0.0376589 | − | 0.0652272i | ||||
\(389\) | −6.99549e6 | + | 4.03885e6i | −0.118842 | + | 0.0686134i | −0.558243 | − | 0.829678i | \(-0.688524\pi\) |
0.439401 | + | 0.898291i | \(0.355191\pi\) | |||||||
\(390\) | −1.00515e6 | − | 9.66717e6i | −0.0169448 | − | 0.162969i | ||||
\(391\) | −1.09851e8 | −1.83769 | ||||||||
\(392\) | 3.44694e7 | − | 5.57813e7i | 0.572237 | − | 0.926041i | ||||
\(393\) | −5.90077e7 | − | 8.14082e7i | −0.972145 | − | 1.34119i | ||||
\(394\) | −2.59948e7 | + | 4.50242e7i | −0.425008 | + | 0.736135i | ||||
\(395\) | −3.56568e7 | + | 2.05865e7i | −0.578564 | + | 0.334034i | ||||
\(396\) | −2.16503e6 | − | 1.02987e7i | −0.0348641 | − | 0.165843i | ||||
\(397\) | 2.40751e7 | − | 4.16992e7i | 0.384765 | − | 0.666433i | −0.606971 | − | 0.794724i | \(-0.707616\pi\) |
0.991737 | + | 0.128291i | \(0.0409490\pi\) | |||||||
\(398\) | − | 5.84599e7i | − | 0.927275i | ||||||
\(399\) | 4.39642e7 | − | 1.60705e7i | 0.692118 | − | 0.252995i | ||||
\(400\) | −2.62587e7 | −0.410292 | ||||||||
\(401\) | 8.72146e7 | + | 5.03534e7i | 1.35256 | + | 0.780900i | 0.988607 | − | 0.150518i | \(-0.0480943\pi\) |
0.363951 | + | 0.931418i | \(0.381428\pi\) | |||||||
\(402\) | 1.20144e7 | − | 2.69039e7i | 0.184937 | − | 0.414130i | ||||
\(403\) | 1.91182e7 | + | 3.31137e7i | 0.292100 | + | 0.505932i | ||||
\(404\) | −2.64077e7 | − | 1.52465e7i | −0.400485 | − | 0.231220i | ||||
\(405\) | 2.08529e7 | − | 2.84335e7i | 0.313907 | − | 0.428021i | ||||
\(406\) | −3.79016e7 | + | 3.67847e7i | −0.566343 | + | 0.549654i | ||||
\(407\) | − | 3.36773e7i | − | 0.499521i | ||||||
\(408\) | −8.59713e6 | − | 8.26845e7i | −0.126582 | − | 1.21743i | ||||
\(409\) | 2.83875e7 | + | 4.91687e7i | 0.414914 | + | 0.718652i | 0.995419 | − | 0.0956046i | \(-0.0304784\pi\) |
−0.580506 | + | 0.814256i | \(0.697145\pi\) | |||||||
\(410\) | 6.01165e6 | − | 3.47083e6i | 0.0872252 | − | 0.0503595i | ||||
\(411\) | 2.06095e6 | − | 214288.i | 0.0296854 | − | 0.00308655i | ||||
\(412\) | −1.54424e7 | −0.220812 | ||||||||
\(413\) | −1.04369e8 | + | 2.62995e7i | −1.48157 | + | 0.373334i | ||||
\(414\) | −2.96706e7 | + | 9.06274e7i | −0.418143 | + | 1.27720i | ||||
\(415\) | 1.37651e7 | − | 2.38419e7i | 0.192591 | − | 0.333577i | ||||
\(416\) | 1.44849e7 | − | 8.36289e6i | 0.201204 | − | 0.116165i | ||||
\(417\) | −1.13886e8 | − | 5.08577e7i | −1.57059 | − | 0.701373i | ||||
\(418\) | 1.15781e7 | − | 2.00539e7i | 0.158529 | − | 0.274580i | ||||
\(419\) | 4.76327e7i | 0.647535i | 0.946137 | + | 0.323767i | \(0.104950\pi\) | ||||
−0.946137 | + | 0.323767i | \(0.895050\pi\) | |||||||
\(420\) | −8.17334e6 | + | 9.76801e6i | −0.110319 | + | 0.131843i | ||||
\(421\) | 4.52744e7 | 0.606745 | 0.303373 | − | 0.952872i | \(-0.401887\pi\) | ||||
0.303373 | + | 0.952872i | \(0.401887\pi\) | |||||||
\(422\) | 2.25482e7 | + | 1.30182e7i | 0.300037 | + | 0.173226i | ||||
\(423\) | −5.72216e6 | − | 2.72195e7i | −0.0756030 | − | 0.359632i | ||||
\(424\) | 6.22054e7 | + | 1.07743e8i | 0.816076 | + | 1.41349i | ||||
\(425\) | 5.36905e7 | + | 3.09982e7i | 0.699408 | + | 0.403803i | ||||
\(426\) | 4.29930e7 | − | 3.11630e7i | 0.556121 | − | 0.403097i | ||||
\(427\) | 6.22589e7 | − | 6.04242e7i | 0.799683 | − | 0.776117i | ||||
\(428\) | 3.20217e7i | 0.408426i | ||||||||
\(429\) | 1.54259e7 | − | 1.60391e6i | 0.195380 | − | 0.0203147i | ||||
\(430\) | −4.74795e6 | − | 8.22369e6i | −0.0597174 | − | 0.103434i | ||||
\(431\) | −3.09039e7 | + | 1.78424e7i | −0.385995 | + | 0.222855i | −0.680424 | − | 0.732819i | \(-0.738204\pi\) |
0.294428 | + | 0.955674i | \(0.404871\pi\) | |||||||
\(432\) | −4.50148e7 | − | 9.72594e6i | −0.558347 | − | 0.120637i | ||||
\(433\) | −4.90389e7 | −0.604056 | −0.302028 | − | 0.953299i | \(-0.597664\pi\) | ||||
−0.302028 | + | 0.953299i | \(0.597664\pi\) | |||||||
\(434\) | −2.85809e7 | + | 1.00622e8i | −0.349628 | + | 1.23090i | ||||
\(435\) | 3.39535e7 | − | 2.46107e7i | 0.412493 | − | 0.298990i | ||||
\(436\) | −1.98697e7 | + | 3.44153e7i | −0.239735 | + | 0.415233i | ||||
\(437\) | 8.70449e7 | − | 5.02554e7i | 1.04304 | − | 0.602197i | ||||
\(438\) | −321014. | + | 718847.i | −0.00382033 | + | 0.00855488i | ||||
\(439\) | −1.80621e6 | + | 3.12844e6i | −0.0213488 | + | 0.0369772i | −0.876502 | − | 0.481397i | \(-0.840129\pi\) |
0.855154 | + | 0.518375i | \(0.173463\pi\) | |||||||
\(440\) | 2.57546e7i | 0.302340i | ||||||||
\(441\) | 1.51267e7 | + | 8.44216e7i | 0.176371 | + | 0.984324i | ||||
\(442\) | 2.99710e7 | 0.347084 | ||||||||
\(443\) | 6.88023e6 | + | 3.97230e6i | 0.0791392 | + | 0.0456911i | 0.539047 | − | 0.842275i | \(-0.318784\pi\) |
−0.459908 | + | 0.887966i | \(0.652118\pi\) | |||||||
\(444\) | 2.47105e7 | + | 1.10349e7i | 0.282314 | + | 0.126072i | ||||
\(445\) | 2.48872e7 | + | 4.31059e7i | 0.282421 | + | 0.489167i | ||||
\(446\) | −1.17962e8 | − | 6.81051e7i | −1.32965 | − | 0.767671i | ||||
\(447\) | 1.98091e7 | + | 2.73291e7i | 0.221790 | + | 0.305986i | ||||
\(448\) | 9.34231e7 | + | 2.65361e7i | 1.03901 | + | 0.295123i | ||||
\(449\) | − | 8.36672e7i | − | 0.924306i | −0.886800 | − | 0.462153i | \(-0.847077\pi\) | ||
0.886800 | − | 0.462153i | \(-0.152923\pi\) | |||||||
\(450\) | 4.00754e7 | − | 3.59223e7i | 0.439785 | − | 0.394209i | ||||
\(451\) | 5.53841e6 | + | 9.59280e6i | 0.0603747 | + | 0.104572i | ||||
\(452\) | −2.90777e7 | + | 1.67880e7i | −0.314880 | + | 0.181796i | ||||
\(453\) | 1.52383e7 | + | 1.46557e8i | 0.163924 | + | 1.57657i | ||||
\(454\) | −3.57807e7 | −0.382368 | ||||||||
\(455\) | −1.30724e7 | − | 1.34693e7i | −0.138778 | − | 0.142991i | ||||
\(456\) | 4.46395e7 | + | 6.15855e7i | 0.470787 | + | 0.649507i | ||||
\(457\) | 6.93037e7 | − | 1.20038e8i | 0.726119 | − | 1.25768i | −0.232392 | − | 0.972622i | \(-0.574655\pi\) |
0.958512 | − | 0.285053i | \(-0.0920113\pi\) | |||||||
\(458\) | 7.25536e6 | − | 4.18888e6i | 0.0755201 | − | 0.0436016i | ||||
\(459\) | 8.05591e7 | + | 7.30260e7i | 0.833061 | + | 0.755161i | ||||
\(460\) | −1.36741e7 | + | 2.36843e7i | −0.140484 | + | 0.243325i | ||||
\(461\) | − | 6.46347e7i | − | 0.659725i | −0.944029 | − | 0.329862i | \(-0.892998\pi\) | ||
0.944029 | − | 0.329862i | \(-0.107002\pi\) | |||||||
\(462\) | 3.25393e7 | + | 2.72271e7i | 0.329976 | + | 0.276106i | ||||
\(463\) | −1.21889e8 | −1.22807 | −0.614035 | − | 0.789279i | \(-0.710455\pi\) | ||||
−0.614035 | + | 0.789279i | \(0.710455\pi\) | |||||||
\(464\) | −4.74328e7 | − | 2.73853e7i | −0.474816 | − | 0.274135i | ||||
\(465\) | 3.38643e7 | − | 7.58325e7i | 0.336809 | − | 0.754218i | ||||
\(466\) | 4.42800e7 | + | 7.66953e7i | 0.437573 | + | 0.757898i | ||||
\(467\) | 4.43386e7 | + | 2.55989e7i | 0.435343 | + | 0.251345i | 0.701620 | − | 0.712551i | \(-0.252460\pi\) |
−0.266277 | + | 0.963896i | \(0.585794\pi\) | |||||||
\(468\) | −3.87770e6 | + | 1.18442e7i | −0.0378300 | + | 0.115550i | ||||
\(469\) | −1.39038e7 | − | 5.51773e7i | −0.134777 | − | 0.534862i | ||||
\(470\) | 1.66525e7i | 0.160393i | ||||||||
\(471\) | −8.08844e6 | − | 7.77920e7i | −0.0774109 | − | 0.744513i | ||||
\(472\) | −8.74476e7 | − | 1.51464e8i | −0.831614 | − | 1.44040i | ||||
\(473\) | 1.31226e7 | − | 7.57632e6i | 0.124004 | − | 0.0715937i | ||||
\(474\) | −1.09625e8 | + | 1.13983e7i | −1.02938 | + | 0.107030i | ||||
\(475\) | −5.67253e7 | −0.529292 | ||||||||
\(476\) | −2.73532e7 | − | 2.81837e7i | −0.253622 | − | 0.261323i | ||||
\(477\) | −1.54648e8 | − | 5.06305e7i | −1.42492 | − | 0.466506i | ||||
\(478\) | −4.50936e6 | + | 7.81045e6i | −0.0412887 | + | 0.0715142i | ||||
\(479\) | −1.69759e7 | + | 9.80106e6i | −0.154464 | + | 0.0891798i | −0.575240 | − | 0.817985i | \(-0.695091\pi\) |
0.420776 | + | 0.907165i | \(0.361758\pi\) | |||||||
\(480\) | −3.31715e7 | − | 1.48133e7i | −0.299945 | − | 0.133946i | ||||
\(481\) | −1.99412e7 | + | 3.45391e7i | −0.179191 | + | 0.310367i | ||||
\(482\) | − | 8.54227e7i | − | 0.762838i | ||||||
\(483\) | 6.32258e7 | + | 1.72967e8i | 0.561117 | + | 1.53505i | ||||
\(484\) | 2.66669e7 | 0.235200 | ||||||||
\(485\) | −1.21955e7 | − | 7.04110e6i | −0.106900 | − | 0.0617185i | ||||
\(486\) | 8.20057e7 | − | 4.67374e7i | 0.714390 | − | 0.407151i | ||||
\(487\) | −9.65961e7 | − | 1.67309e8i | −0.836320 | − | 1.44855i | −0.892951 | − | 0.450154i | \(-0.851369\pi\) |
0.0566307 | − | 0.998395i | \(-0.481964\pi\) | |||||||
\(488\) | 1.22091e8 | + | 7.04895e7i | 1.05057 | + | 0.606548i | ||||
\(489\) | −1.06933e7 | + | 7.75088e6i | −0.0914500 | + | 0.0662864i | ||||
\(490\) | 1.53544e6 | − | 5.13253e7i | 0.0130511 | − | 0.436258i | ||||
\(491\) | 1.00270e8i | 0.847085i | 0.905876 | + | 0.423543i | \(0.139214\pi\) | ||||
−0.905876 | + | 0.423543i | \(0.860786\pi\) | |||||||
\(492\) | −8.85342e6 | + | 920536.i | −0.0743388 | + | 0.00772939i | ||||
\(493\) | 6.46564e7 | + | 1.11988e8i | 0.539598 | + | 0.934612i | ||||
\(494\) | −2.37488e7 | + | 1.37114e7i | −0.196998 | + | 0.113737i | ||||
\(495\) | −2.24844e7 | − | 2.50840e7i | −0.185382 | − | 0.206814i | ||||
\(496\) | −1.08471e8 | −0.888936 | ||||||||
\(497\) | 2.80188e7 | − | 9.86431e7i | 0.228234 | − | 0.803521i | ||||
\(498\) | 5.96696e7 | − | 4.32507e7i | 0.483131 | − | 0.350191i | ||||
\(499\) | 4.87188e7 | − | 8.43834e7i | 0.392098 | − | 0.679134i | −0.600628 | − | 0.799529i | \(-0.705083\pi\) |
0.992726 | + | 0.120395i | \(0.0384161\pi\) | |||||||
\(500\) | 3.19765e7 | − | 1.84616e7i | 0.255812 | − | 0.147693i | ||||
\(501\) | −2.96759e7 | + | 6.64534e7i | −0.235989 | + | 0.528450i | ||||
\(502\) | 6.17267e7 | − | 1.06914e8i | 0.487935 | − | 0.845128i | ||||
\(503\) | − | 1.14370e8i | − | 0.898685i | −0.893360 | − | 0.449342i | \(-0.851658\pi\) | ||
0.893360 | − | 0.449342i | \(-0.148342\pi\) | |||||||
\(504\) | −1.25244e8 | + | 6.11267e7i | −0.978282 | + | 0.477463i | ||||
\(505\) | −9.76062e7 | −0.757885 | ||||||||
\(506\) | 7.88973e7 | + | 4.55514e7i | 0.608991 | + | 0.351601i | ||||
\(507\) | 1.02227e8 | + | 4.56513e7i | 0.784408 | + | 0.350291i | ||||
\(508\) | −2.43042e7 | − | 4.20961e7i | −0.185392 | − | 0.321108i | ||||
\(509\) | −7.07146e7 | − | 4.08271e7i | −0.536236 | − | 0.309596i | 0.207316 | − | 0.978274i | \(-0.433527\pi\) |
−0.743552 | + | 0.668678i | \(0.766860\pi\) | |||||||
\(510\) | −3.82047e7 | − | 5.27079e7i | −0.288009 | − | 0.397343i | ||||
\(511\) | 371497. | + | 1.47428e6i | 0.00278415 | + | 0.0110489i | ||||
\(512\) | 1.30909e8i | 0.975351i | ||||||||
\(513\) | −9.72430e7 | − | 2.10104e7i | −0.720288 | − | 0.155626i | ||||
\(514\) | −2.74701e7 | − | 4.75795e7i | −0.202288 | − | 0.350373i | ||||
\(515\) | −4.28078e7 | + | 2.47151e7i | −0.313401 | + | 0.180942i | ||||
\(516\) | 1.25926e6 | + | 1.21111e7i | 0.00916568 | + | 0.0881526i | ||||
\(517\) | −2.65725e7 | −0.192292 | ||||||||
\(518\) | −1.05798e8 | + | 2.66595e7i | −0.761180 | + | 0.191806i | ||||
\(519\) | −1.00074e7 | − | 1.38064e7i | −0.0715846 | − | 0.0987595i | ||||
\(520\) | 1.52499e7 | − | 2.64136e7i | 0.108457 | − | 0.187853i | ||||
\(521\) | −1.11407e8 | + | 6.43207e7i | −0.787768 | + | 0.454818i | −0.839176 | − | 0.543860i | \(-0.816962\pi\) |
0.0514085 | + | 0.998678i | \(0.483629\pi\) | |||||||
\(522\) | 1.09854e8 | − | 2.30939e7i | 0.772335 | − | 0.162363i | ||||
\(523\) | −1.29930e7 | + | 2.25046e7i | −0.0908250 | + | 0.157314i | −0.907859 | − | 0.419277i | \(-0.862284\pi\) |
0.817033 | + | 0.576590i | \(0.195617\pi\) | |||||||
\(524\) | − | 7.71883e7i | − | 0.536485i | ||||||
\(525\) | 1.79065e7 | − | 1.02380e8i | 0.123746 | − | 0.707520i | ||||
\(526\) | −4.23373e7 | −0.290915 | ||||||||
\(527\) | 2.21789e8 | + | 1.28050e8i | 1.51533 | + | 0.874876i | ||||
\(528\) | −1.79401e7 | + | 4.01734e7i | −0.121878 | + | 0.272921i | ||||
\(529\) | 1.23700e8 | + | 2.14255e8i | 0.835610 | + | 1.44732i | ||||
\(530\) | 8.43716e7 | + | 4.87120e7i | 0.566720 | + | 0.327196i | ||||
\(531\) | 2.17403e8 | + | 7.11757e7i | 1.45205 | + | 0.475388i | ||||
\(532\) | 3.45682e7 | + | 9.81882e6i | 0.229584 | + | 0.0652116i | ||||
\(533\) | − | 1.31177e7i | − | 0.0866317i | ||||||
\(534\) | 1.37795e7 | + | 1.32527e8i | 0.0904921 | + | 0.870324i | ||||
\(535\) | 5.12498e7 | + | 8.87672e7i | 0.334681 | + | 0.579684i | ||||
\(536\) | 8.00746e7 | − | 4.62311e7i | 0.519997 | − | 0.300220i | ||||
\(537\) | −3.84130e7 | + | 3.99400e6i | −0.248059 | + | 0.0257920i | ||||
\(538\) | 2.02331e8 | 1.29932 | ||||||||
\(539\) | 8.18999e7 | + | 2.45011e6i | 0.523019 | + | 0.0156466i | ||||
\(540\) | 2.57726e7 | − | 8.27867e6i | 0.163673 | − | 0.0525750i | ||||
\(541\) | −1.12905e7 | + | 1.95558e7i | −0.0713055 | + | 0.123505i | −0.899474 | − | 0.436975i | \(-0.856050\pi\) |
0.828168 | + | 0.560480i | \(0.189383\pi\) | |||||||
\(542\) | −2.99775e7 | + | 1.73075e7i | −0.188277 | + | 0.108702i | ||||
\(543\) | −9.66874e7 | − | 4.31775e7i | −0.603907 | − | 0.269685i | ||||
\(544\) | 5.60129e7 | − | 9.70171e7i | 0.347929 | − | 0.602631i | ||||
\(545\) | 1.27203e8i | 0.785793i | ||||||||
\(546\) | −1.72502e7 | − | 4.71912e7i | −0.105978 | − | 0.289924i | ||||
\(547\) | 2.44583e8 | 1.49439 | 0.747197 | − | 0.664603i | \(-0.231399\pi\) | ||||
0.747197 | + | 0.664603i | \(0.231399\pi\) | |||||||
\(548\) | 1.37761e6 | + | 795365.i | 0.00837115 | + | 0.00483309i | ||||
\(549\) | −1.80452e8 | + | 3.79351e7i | −1.09055 | + | 0.229258i | ||||
\(550\) | −2.57078e7 | − | 4.45272e7i | −0.154517 | − | 0.267632i | ||||
\(551\) | −1.02467e8 | − | 5.91591e7i | −0.612530 | − | 0.353644i | ||||
\(552\) | −2.42294e8 | + | 1.75624e8i | −1.44054 | + | 1.04416i | ||||
\(553\) | −1.52741e8 | + | 1.48240e8i | −0.903191 | + | 0.876575i | ||||
\(554\) | − | 4.85775e6i | − | 0.0285697i | ||||||
\(555\) | 8.61608e7 | − | 8.95859e6i | 0.504000 | − | 0.0524035i | ||||
\(556\) | −4.78761e7 | − | 8.29239e7i | −0.278545 | − | 0.482453i | ||||
\(557\) | −4.19332e6 | + | 2.42102e6i | −0.0242657 | + | 0.0140098i | −0.512084 | − | 0.858936i | \(-0.671126\pi\) |
0.487818 | + | 0.872945i | \(0.337793\pi\) | |||||||
\(558\) | 1.65546e8 | − | 1.48391e8i | 0.952834 | − | 0.854090i | ||||
\(559\) | −1.79445e7 | −0.102730 | ||||||||
\(560\) | 5.16335e7 | − | 1.30109e7i | 0.294014 | − | 0.0740870i | ||||
\(561\) | 8.41061e7 | − | 6.09633e7i | 0.476364 | − | 0.345287i | ||||
\(562\) | −7.08837e7 | + | 1.22774e8i | −0.399335 | + | 0.691668i | ||||
\(563\) | −2.58387e8 | + | 1.49180e8i | −1.44792 | + | 0.835958i | −0.998358 | − | 0.0572897i | \(-0.981754\pi\) |
−0.449564 | + | 0.893248i | \(0.648421\pi\) | |||||||
\(564\) | 8.70692e6 | − | 1.94974e7i | 0.0485319 | − | 0.108678i | ||||
\(565\) | −5.37375e7 | + | 9.30760e7i | −0.297942 | + | 0.516051i | ||||
\(566\) | 2.63936e7i | 0.145563i | ||||||||
\(567\) | 6.86173e7 | − | 1.68876e8i | 0.376430 | − | 0.926445i | ||||
\(568\) | 1.66629e8 | 0.909298 | ||||||||
\(569\) | −1.64780e8 | − | 9.51358e7i | −0.894475 | − | 0.516425i | −0.0190711 | − | 0.999818i | \(-0.506071\pi\) |
−0.875403 | + | 0.483393i | \(0.839404\pi\) | |||||||
\(570\) | 5.43863e7 | + | 2.42872e7i | 0.293674 | + | 0.131145i | ||||
\(571\) | −6.56426e7 | − | 1.13696e8i | −0.352596 | − | 0.610714i | 0.634108 | − | 0.773245i | \(-0.281368\pi\) |
−0.986703 | + | 0.162531i | \(0.948034\pi\) | |||||||
\(572\) | 1.03112e7 | + | 5.95319e6i | 0.0550963 | + | 0.0318098i | ||||
\(573\) | −7.51480e6 | − | 1.03676e7i | −0.0399442 | − | 0.0551078i | ||||
\(574\) | 2.57517e7 | − | 2.49928e7i | 0.136167 | − | 0.132154i | ||||
\(575\) | − | 2.23172e8i | − | 1.17392i | ||||||
\(576\) | −1.37774e8 | − | 1.53703e8i | −0.720941 | − | 0.804292i | ||||
\(577\) | 1.39506e7 | + | 2.41632e7i | 0.0726216 | + | 0.125784i | 0.900050 | − | 0.435788i | \(-0.143530\pi\) |
−0.827428 | + | 0.561572i | \(0.810197\pi\) | |||||||
\(578\) | 3.63376e7 | − | 2.09795e7i | 0.188180 | − | 0.108646i | ||||
\(579\) | −612569. | − | 5.89149e6i | −0.00315587 | − | 0.0303522i | ||||
\(580\) | 3.21935e7 | 0.165000 | ||||||||
\(581\) | 3.88870e7 | − | 1.36906e8i | 0.198278 | − | 0.698060i | ||||
\(582\) | −2.21235e7 | − | 3.05220e7i | −0.112224 | − | 0.154826i | ||||
\(583\) | −7.77298e7 | + | 1.34632e8i | −0.392267 | + | 0.679427i | ||||
\(584\) | −2.13952e6 | + | 1.23525e6i | −0.0107418 | + | 0.00620179i | ||||
\(585\) | 8.20700e6 | + | 3.90395e7i | 0.0409937 | + | 0.195001i | ||||
\(586\) | −1.00924e8 | + | 1.74805e8i | −0.501534 | + | 0.868682i | ||||
\(587\) | 4.50405e7i | 0.222684i | 0.993782 | + | 0.111342i | \(0.0355149\pi\) | ||||
−0.993782 | + | 0.111342i | \(0.964485\pi\) | |||||||
\(588\) | −2.86336e7 | + | 5.92908e7i | −0.140846 | + | 0.291646i | ||||
\(589\) | −2.34325e8 | −1.14676 | ||||||||
\(590\) | −1.18608e8 | − | 6.84786e7i | −0.577510 | − | 0.333426i | ||||
\(591\) | 8.70115e7 | − | 1.94845e8i | 0.421516 | − | 0.943903i | ||||
\(592\) | −5.65703e7 | − | 9.79827e7i | −0.272661 | − | 0.472263i | ||||
\(593\) | 4.76852e6 | + | 2.75311e6i | 0.0228675 | + | 0.0132026i | 0.511390 | − | 0.859349i | \(-0.329131\pi\) |
−0.488523 | + | 0.872551i | \(0.662464\pi\) | |||||||
\(594\) | −2.75780e7 | − | 8.58541e7i | −0.131584 | − | 0.409639i | ||||
\(595\) | −1.20933e8 | − | 3.43500e7i | −0.574108 | − | 0.163071i | ||||
\(596\) | 2.59124e7i | 0.122397i | ||||||||
\(597\) | 2.48149e7 | + | 2.38662e8i | 0.116624 | + | 1.12166i | ||||
\(598\) | −5.39442e7 | − | 9.34342e7i | −0.252256 | − | 0.436920i | ||||
\(599\) | 3.14579e8 | − | 1.81622e8i | 1.46369 | − | 0.845062i | 0.464512 | − | 0.885567i | \(-0.346230\pi\) |
0.999179 | + | 0.0405046i | \(0.0128966\pi\) | |||||||
\(600\) | 1.67981e8 | − | 1.74659e7i | 0.777692 | − | 0.0808606i | ||||
\(601\) | 2.03084e8 | 0.935517 | 0.467759 | − | 0.883856i | \(-0.345062\pi\) | ||||
0.467759 | + | 0.883856i | \(0.345062\pi\) | |||||||
\(602\) | −3.41892e7 | − | 3.52273e7i | −0.156711 | − | 0.161469i | ||||
\(603\) | −3.76286e7 | + | 1.14935e8i | −0.171619 | + | 0.524203i | ||||
\(604\) | −5.65595e7 | + | 9.79639e7i | −0.256682 | + | 0.444586i | ||||
\(605\) | 7.39232e7 | − | 4.26796e7i | 0.333822 | − | 0.192732i | ||||
\(606\) | −2.38575e8 | − | 1.06540e8i | −1.07203 | − | 0.478734i | ||||
\(607\) | −5.60658e7 | + | 9.71089e7i | −0.250687 | + | 0.434203i | −0.963715 | − | 0.266933i | \(-0.913990\pi\) |
0.713028 | + | 0.701136i | \(0.247323\pi\) | |||||||
\(608\) | 1.02501e8i | 0.456055i | ||||||||
\(609\) | 1.39119e8 | − | 1.66262e8i | 0.615933 | − | 0.736105i | ||||
\(610\) | 1.10398e8 | 0.486376 | ||||||||
\(611\) | 2.72525e7 | + | 1.57342e7i | 0.119477 | + | 0.0689798i | ||||
\(612\) | 1.71727e7 | + | 8.16880e7i | 0.0749177 | + | 0.356373i | ||||
\(613\) | −3.83093e7 | − | 6.63536e7i | −0.166311 | − | 0.288060i | 0.770809 | − | 0.637067i | \(-0.219852\pi\) |
−0.937120 | + | 0.349007i | \(0.886519\pi\) | |||||||
\(614\) | −4.30794e7 | − | 2.48719e7i | −0.186108 | − | 0.107449i | ||||
\(615\) | −2.30692e7 | + | 1.67214e7i | −0.0991762 | + | 0.0718866i | ||||
\(616\) | 3.25327e7 | + | 1.29106e8i | 0.139181 | + | 0.552337i | ||||
\(617\) | − | 1.59298e7i | − | 0.0678196i | −0.999425 | − | 0.0339098i | \(-0.989204\pi\) | ||
0.999425 | − | 0.0339098i | \(-0.0107959\pi\) | |||||||
\(618\) | −1.31610e8 | + | 1.36842e7i | −0.557603 | + | 0.0579769i | ||||
\(619\) | 1.30151e8 | + | 2.25428e8i | 0.548751 | + | 0.950465i | 0.998360 | + | 0.0572397i | \(0.0182299\pi\) |
−0.449609 | + | 0.893225i | \(0.648437\pi\) | |||||||
\(620\) | 5.52160e7 | − | 3.18790e7i | 0.231681 | − | 0.133761i | ||||
\(621\) | 8.26606e7 | − | 3.82580e8i | 0.345163 | − | 1.59752i | ||||
\(622\) | 3.12764e8 | 1.29971 | ||||||||
\(623\) | 1.79209e8 | + | 1.84650e8i | 0.741131 | + | 0.763634i | ||||
\(624\) | 4.21869e7 | − | 3.05787e7i | 0.173630 | − | 0.125853i | ||||
\(625\) | −2.85838e7 | + | 4.95086e7i | −0.117079 | + | 0.202787i | ||||
\(626\) | 1.65648e8 | − | 9.56369e7i | 0.675248 | − | 0.389855i | ||||
\(627\) | −3.87551e7 | + | 8.67844e7i | −0.157227 | + | 0.352078i | ||||
\(628\) | 3.00215e7 | − | 5.19988e7i | 0.121214 | − | 0.209949i | ||||
\(629\) | 2.67123e8i | 1.07340i | ||||||||
\(630\) | −6.10028e7 | + | 9.04922e7i | −0.243965 | + | 0.361901i | ||||
\(631\) | −8.31931e7 | −0.331130 | −0.165565 | − | 0.986199i | \(-0.552945\pi\) | ||||
−0.165565 | + | 0.986199i | \(0.552945\pi\) | |||||||
\(632\) | −2.99529e8 | − | 1.72933e8i | −1.18655 | − | 0.685058i | ||||
\(633\) | −9.75787e7 | − | 4.35755e7i | −0.384719 | − | 0.171803i | ||||
\(634\) | −9.66445e7 | − | 1.67393e8i | −0.379236 | − | 0.656856i | ||||
\(635\) | −1.34747e8 | − | 7.77962e7i | −0.526257 | − | 0.303835i | ||||
\(636\) | −7.33160e7 | − | 1.01148e8i | −0.284989 | − | 0.393176i | ||||
\(637\) | −8.25451e7 | − | 5.10078e7i | −0.319354 | − | 0.197342i | ||||
\(638\) | − | 1.07243e8i | − | 0.412960i | ||||||
\(639\) | −1.62291e8 | + | 1.45472e8i | −0.622001 | + | 0.557541i | ||||
\(640\) | 1.87334e7 | + | 3.24472e7i | 0.0714623 | + | 0.123776i | ||||
\(641\) | −4.13537e8 | + | 2.38755e8i | −1.57015 | + | 0.906524i | −0.573995 | + | 0.818859i | \(0.694607\pi\) |
−0.996150 | + | 0.0876653i | \(0.972059\pi\) | |||||||
\(642\) | 2.83759e7 | + | 2.72911e8i | 0.107237 | + | 1.03137i | ||||
\(643\) | 1.79150e8 | 0.673880 | 0.336940 | − | 0.941526i | \(-0.390608\pi\) | ||||
0.336940 | + | 0.941526i | \(0.390608\pi\) | |||||||
\(644\) | −3.86299e7 | + | 1.36001e8i | −0.144632 | + | 0.509194i | ||||
\(645\) | 2.28742e7 | + | 3.15578e7i | 0.0852447 | + | 0.117605i | ||||
\(646\) | −9.18360e7 | + | 1.59065e8i | −0.340655 | + | 0.590032i | ||||
\(647\) | 1.90784e8 | − | 1.10149e8i | 0.704415 | − | 0.406694i | −0.104575 | − | 0.994517i | \(-0.533348\pi\) |
0.808990 | + | 0.587823i | \(0.200015\pi\) | |||||||
\(648\) | 2.94436e8 | + | 3.22770e7i | 1.08210 | + | 0.118623i | ||||
\(649\) | 1.09272e8 | − | 1.89264e8i | 0.399736 | − | 0.692362i | ||||
\(650\) | 6.08890e7i | 0.221717i | ||||||||
\(651\) | 7.39694e7 | − | 4.22920e8i | 0.268108 | − | 1.53291i | ||||
\(652\) | −1.01390e7 | −0.0365806 | ||||||||
\(653\) | −1.16639e8 | − | 6.73418e7i | −0.418895 | − | 0.241849i | 0.275709 | − | 0.961241i | \(-0.411087\pi\) |
−0.694605 | + | 0.719392i | \(0.744421\pi\) | |||||||
\(654\) | −1.38846e8 | + | 3.10917e8i | −0.496362 | + | 1.11151i | ||||
\(655\) | −1.23537e8 | − | 2.13973e8i | −0.439617 | − | 0.761439i | ||||
\(656\) | 3.22276e7 | + | 1.86066e7i | 0.114161 | + | 0.0659106i | ||||
\(657\) | 1.00540e6 | − | 3.07095e6i | 0.00354522 | − | 0.0108287i | ||||
\(658\) | 2.10352e7 | + | 8.34781e7i | 0.0738362 | + | 0.293018i | ||||
\(659\) | 3.76030e8i | 1.31391i | 0.753928 | + | 0.656957i | \(0.228157\pi\) | ||||
−0.753928 | + | 0.656957i | \(0.771843\pi\) | |||||||
\(660\) | −2.67448e6 | − | 2.57223e7i | −0.00930266 | − | 0.0894700i | ||||
\(661\) | 2.90919e7 | + | 5.03887e7i | 0.100732 | + | 0.174473i | 0.911987 | − | 0.410220i | \(-0.134548\pi\) |
−0.811254 | + | 0.584693i | \(0.801215\pi\) | |||||||
\(662\) | −1.95335e8 | + | 1.12776e8i | −0.673294 | + | 0.388727i | ||||
\(663\) | −1.22356e8 | + | 1.27220e7i | −0.419842 | + | 0.0436532i | ||||
\(664\) | 2.31263e8 | 0.789954 | ||||||||
\(665\) | 1.11541e8 | − | 2.81066e7i | 0.379288 | − | 0.0955749i | ||||
\(666\) | 2.20378e8 | + | 7.21498e7i | 0.746011 | + | 0.244237i | ||||
\(667\) | 2.32748e8 | − | 4.03131e8i | 0.784346 | − | 1.35853i | ||||
\(668\) | −4.83868e7 | + | 2.79361e7i | −0.162330 | + | 0.0937210i | ||||
\(669\) | 5.10486e8 | + | 2.27966e8i | 1.70493 | + | 0.761364i | ||||
\(670\) | 3.62027e7 | − | 6.27050e7i | 0.120370 | − | 0.208486i | ||||
\(671\) | 1.76163e8i | 0.583104i | ||||||||
\(672\) | −1.84998e8 | − | 3.23565e7i | −0.609621 | − | 0.106624i | ||||
\(673\) | −1.71549e8 | −0.562786 | −0.281393 | − | 0.959593i | \(-0.590796\pi\) | ||||
−0.281393 | + | 0.959593i | \(0.590796\pi\) | |||||||
\(674\) | 3.04758e8 | + | 1.75952e8i | 0.995350 | + | 0.574665i | ||||
\(675\) | −1.48359e8 | + | 1.63664e8i | −0.482396 | + | 0.532158i | ||||
\(676\) | 4.29749e7 | + | 7.44347e7i | 0.139115 | + | 0.240955i | ||||
\(677\) | 4.36085e8 | + | 2.51774e8i | 1.40542 | + | 0.811417i | 0.994942 | − | 0.100455i | \(-0.0320297\pi\) |
0.410475 | + | 0.911872i | \(0.365363\pi\) | |||||||
\(678\) | −2.32943e8 | + | 1.68846e8i | −0.747414 | + | 0.541754i | ||||
\(679\) | −7.00297e7 | − | 1.98914e7i | −0.223704 | − | 0.0635412i | ||||
\(680\) | − | 2.04282e8i | − | 0.649684i | ||||||
\(681\) | 1.46074e8 | − | 1.51881e7i | 0.462523 | − | 0.0480909i | ||||
\(682\) | −1.06196e8 | − | 1.83936e8i | −0.334776 | − | 0.579849i | ||||
\(683\) | 4.47198e8 | − | 2.58190e8i | 1.40358 | − | 0.810359i | 0.408824 | − | 0.912613i | \(-0.365939\pi\) |
0.994758 | + | 0.102255i | \(0.0326056\pi\) | |||||||
\(684\) | −5.09788e7 | − | 5.68727e7i | −0.159302 | − | 0.177720i | ||||
\(685\) | 5.09183e6 | 0.0158417 | ||||||||
\(686\) | −5.71362e7 | − | 2.59230e8i | −0.176986 | − | 0.802995i | ||||
\(687\) | −2.78419e7 | + | 2.01808e7i | −0.0858673 | + | 0.0622399i | ||||
\(688\) | 2.54531e7 | − | 4.40860e7i | 0.0781583 | − | 0.135374i | ||||
\(689\) | 1.59438e8 | − | 9.20516e7i | 0.487455 | − | 0.281432i | ||||
\(690\) | −9.55522e7 | + | 2.13970e8i | −0.290866 | + | 0.651338i | ||||
\(691\) | −2.03098e8 | + | 3.51777e8i | −0.615563 | + | 1.06619i | 0.374722 | + | 0.927137i | \(0.377738\pi\) |
−0.990285 | + | 0.139049i | \(0.955595\pi\) | |||||||
\(692\) | − | 1.30907e7i | − | 0.0395045i | ||||||
\(693\) | −1.44399e8 | − | 9.73423e7i | −0.433874 | − | 0.292484i | ||||
\(694\) | −2.41441e8 | −0.722324 | ||||||||
\(695\) | −2.65434e8 | − | 1.53248e8i | −0.790683 | − | 0.456501i | ||||
\(696\) | 3.21651e8 | + | 1.43639e8i | 0.954019 | + | 0.426034i | ||||
\(697\) | −4.39299e7 | − | 7.60888e7i | −0.129736 | − | 0.224710i | ||||
\(698\) | 1.79110e8 | + | 1.03409e8i | 0.526688 | + | 0.304083i | ||||
\(699\) | −2.13328e8 | − | 2.94312e8i | −0.624622 | − | 0.861740i | ||||
\(700\) | 5.72580e7 | − | 5.55707e7i | 0.166933 | − | 0.162014i | ||||
\(701\) | 1.61640e8i | 0.469239i | 0.972087 | + | 0.234619i | \(0.0753843\pi\) | ||||
−0.972087 | + | 0.234619i | \(0.924616\pi\) | |||||||
\(702\) | −2.25526e7 | + | 1.04381e8i | −0.0651907 | + | 0.301724i | ||||
\(703\) | −1.22206e8 | − | 2.11667e8i | −0.351743 | − | 0.609237i | ||||
\(704\) | −1.70777e8 | + | 9.85981e7i | −0.489453 | + | 0.282586i | ||||
\(705\) | −7.06863e6 | − | 6.79838e7i | −0.0201729 | − | 0.194016i | ||||
\(706\) | −1.79060e8 | −0.508842 | ||||||||
\(707\) | −4.89294e8 | + | 1.23295e8i | −1.38456 | + | 0.348888i | ||||
\(708\) | 1.03067e8 | + | 1.42193e8i | 0.290415 | + | 0.400662i | ||||
\(709\) | 2.99324e8 | − | 5.18444e8i | 0.839851 | − | 1.45466i | −0.0501682 | − | 0.998741i | \(-0.515976\pi\) |
0.890019 | − | 0.455923i | \(-0.150691\pi\) | |||||||
\(710\) | 1.13003e8 | − | 6.52422e7i | 0.315729 | − | 0.182286i | ||||
\(711\) | 4.42705e8 | − | 9.30669e7i | 1.23170 | − | 0.258932i | ||||
\(712\) | −2.09061e8 | + | 3.62104e8i | −0.579206 | + | 1.00321i | ||||
\(713\) | − | 9.21896e8i | − | 2.54339i | ||||||
\(714\) | −2.58097e8 | − | 2.15962e8i | −0.709069 | − | 0.593311i | ||||
\(715\) | 3.81116e7 | 0.104265 | ||||||||
\(716\) | −2.56766e7 | − | 1.48244e7i | −0.0699517 | − | 0.0403866i | ||||
\(717\) | 1.50941e7 | − | 3.38002e7i | 0.0409495 | − | 0.0916984i | ||||
\(718\) | −1.23315e8 | − | 2.13588e8i | −0.333152 | − | 0.577035i | ||||
\(719\) | −5.37512e8 | − | 3.10332e8i | −1.44611 | − | 0.834912i | −0.447863 | − | 0.894102i | \(-0.647815\pi\) |
−0.998247 | + | 0.0591908i | \(0.981148\pi\) | |||||||
\(720\) | −1.07553e8 | − | 3.52119e7i | −0.288155 | − | 0.0943392i | ||||
\(721\) | −1.83373e8 | + | 1.77969e8i | −0.489248 | + | 0.474831i | ||||
\(722\) | 1.41419e8i | 0.375748i | ||||||||
\(723\) | 3.62600e7 | + | 3.48738e8i | 0.0959430 | + | 0.922749i | ||||
\(724\) | −4.06461e7 | − | 7.04011e7i | −0.107103 | − | 0.185509i | ||||
\(725\) | −2.27515e8 | + | 1.31356e8i | −0.597029 | + | 0.344695i | ||||
\(726\) | 2.27273e8 | − | 2.36308e7i | 0.593935 | − | 0.0617545i | ||||
\(727\) | −1.61816e8 | −0.421132 | −0.210566 | − | 0.977580i | \(-0.567531\pi\) | ||||
−0.210566 | + | 0.977580i | \(0.567531\pi\) | |||||||
\(728\) | 4.30816e7 | − | 1.51673e8i | 0.111660 | − | 0.393111i | ||||
\(729\) | −3.14949e8 | + | 2.25615e8i | −0.812938 | + | 0.582351i | ||||
\(730\) | −967303. | + | 1.67542e6i | −0.00248653 | + | 0.00430680i | ||||
\(731\) | −1.04086e8 | + | 6.00943e7i | −0.266466 | + | 0.153844i | ||||
\(732\) | −1.29258e8 | − | 5.77226e7i | −0.329553 | − | 0.147168i | ||||
\(733\) | 2.88495e8 | − | 4.99689e8i | 0.732532 | − | 1.26878i | −0.223265 | − | 0.974758i | \(-0.571672\pi\) |
0.955798 | − | 0.294026i | \(-0.0949951\pi\) | |||||||
\(734\) | 1.36591e7i | 0.0345409i | ||||||||
\(735\) | 1.55180e7 | + | 2.10187e8i | 0.0390818 | + | 0.529351i | ||||
\(736\) | −4.03266e8 | −1.01148 | ||||||||
\(737\) | 1.00059e8 | + | 5.77688e7i | 0.249949 | + | 0.144308i | ||||
\(738\) | −7.46390e7 | + | 1.56908e7i | −0.185694 | + | 0.0390371i | ||||
\(739\) | −5.88627e7 | − | 1.01953e8i | −0.145850 | − | 0.252620i | 0.783840 | − | 0.620963i | \(-0.213258\pi\) |
−0.929690 | + | 0.368343i | \(0.879925\pi\) | |||||||
\(740\) | 5.75928e7 | + | 3.32512e7i | 0.142126 | + | 0.0820565i | ||||
\(741\) | 9.11341e7 | − | 6.60574e7i | 0.223989 | − | 0.162356i | ||||
\(742\) | 4.84481e8 | + | 1.37613e8i | 1.18595 | + | 0.336859i | ||||
\(743\) | − | 4.99500e8i | − | 1.21778i | −0.793255 | − | 0.608890i | \(-0.791615\pi\) | ||
0.793255 | − | 0.608890i | \(-0.208385\pi\) | |||||||
\(744\) | 6.93910e8 | − | 7.21494e7i | 1.68494 | − | 0.175192i | ||||
\(745\) | 4.14720e7 | + | 7.18317e7i | 0.100297 | + | 0.173719i | ||||
\(746\) | −5.70179e7 | + | 3.29193e7i | −0.137339 | + | 0.0792929i | ||||
\(747\) | −2.25241e8 | + | 2.01899e8i | −0.540364 | + | 0.484365i | ||||
\(748\) | 7.97464e7 | 0.190549 | ||||||||
\(749\) | 3.69041e8 | + | 3.80246e8i | 0.878272 | + | 0.904940i | ||||
\(750\) | 2.56165e8 | − | 1.85678e8i | 0.607206 | − | 0.440126i | ||||
\(751\) | 1.86246e7 | − | 3.22587e7i | 0.0439711 | − | 0.0761601i | −0.843202 | − | 0.537596i | \(-0.819332\pi\) |
0.887173 | + | 0.461436i | \(0.152666\pi\) | |||||||
\(752\) | −7.73116e7 | + | 4.46359e7i | −0.181799 | + | 0.104962i | ||||
\(753\) | −2.06616e8 | + | 4.62676e8i | −0.483927 | + | 1.08366i | ||||
\(754\) | −6.35014e7 | + | 1.09988e8i | −0.148139 | + | 0.256584i | ||||
\(755\) | 3.62087e8i | 0.841341i | ||||||||
\(756\) | 1.18739e8 | − | 7.40560e7i | 0.274807 | − | 0.171394i | ||||
\(757\) | 3.37798e8 | 0.778699 | 0.389350 | − | 0.921090i | \(-0.372700\pi\) | ||||
0.389350 | + | 0.921090i | \(0.372700\pi\) | |||||||
\(758\) | 1.80347e8 | + | 1.04124e8i | 0.414097 | + | 0.239079i | ||||
\(759\) | −3.41433e8 | − | 1.52473e8i | −0.780873 | − | 0.348712i | ||||
\(760\) | 9.34564e7 | + | 1.61871e8i | 0.212896 | + | 0.368747i | ||||
\(761\) | 3.20644e8 | + | 1.85124e8i | 0.727561 | + | 0.420058i | 0.817529 | − | 0.575887i | \(-0.195343\pi\) |
−0.0899682 | + | 0.995945i | \(0.528677\pi\) | |||||||
\(762\) | −2.44440e8 | − | 3.37234e8i | −0.552468 | − | 0.762196i | ||||
\(763\) | 1.60681e8 | + | 6.37661e8i | 0.361735 | + | 1.43554i | ||||
\(764\) | − | 9.83015e6i | − | 0.0220435i | ||||||
\(765\) | 1.78343e8 | + | 1.98962e8i | 0.398357 | + | 0.444413i | ||||
\(766\) | −2.96630e7 | − | 5.13778e7i | −0.0659977 | − | 0.114311i | ||||
\(767\) | −2.24136e8 | + | 1.29405e8i | −0.496735 | + | 0.286790i | ||||
\(768\) | −4.02273e7 | − | 3.86894e8i | −0.0888050 | − | 0.854098i | ||||
\(769\) | 2.18577e8 | 0.480646 | 0.240323 | − | 0.970693i | \(-0.422747\pi\) | ||||
0.240323 | + | 0.970693i | \(0.422747\pi\) | |||||||
\(770\) | 7.26129e7 | + | 7.48177e7i | 0.159053 | + | 0.163882i | ||||
\(771\) | 1.32343e8 | + | 1.82583e8i | 0.288760 | + | 0.398379i | ||||
\(772\) | 2.27365e6 | − | 3.93807e6i | 0.00494164 | − | 0.00855918i | ||||
\(773\) | 9.67046e7 | − | 5.58324e7i | 0.209367 | − | 0.120878i | −0.391650 | − | 0.920114i | \(-0.628096\pi\) |
0.601017 | + | 0.799236i | \(0.294762\pi\) | |||||||
\(774\) | 2.14644e7 | + | 1.02103e8i | 0.0462910 | + | 0.220200i | ||||
\(775\) | −2.60145e8 | + | 4.50585e8i | −0.558870 | + | 0.967991i | ||||
\(776\) | − | 1.18295e8i | − | 0.253152i | ||||||
\(777\) | 4.20602e8 | − | 1.53746e8i | 0.896621 | − | 0.327748i | ||||
\(778\) | −5.31363e7 | −0.112837 | ||||||||
\(779\) | 6.96194e7 | + | 4.01948e7i | 0.147271 | + | 0.0850271i | ||||
\(780\) | −1.24879e7 | + | 2.79641e7i | −0.0263151 | + | 0.0589275i | ||||
\(781\) | 1.04107e8 | + | 1.80319e8i | 0.218538 | + | 0.378519i | ||||
\(782\) | −6.25802e8 | − | 3.61307e8i | −1.30863 | − | 0.755538i | ||||
\(783\) | −4.38677e8 | + | 1.40911e8i | −0.913817 | + | 0.293536i | ||||
\(784\) | 2.42400e8 | − | 1.30445e8i | 0.503020 | − | 0.270695i | ||||
\(785\) | − | 1.92194e8i | − | 0.397311i | ||||||
\(786\) | −6.84001e7 | − | 6.57850e8i | −0.140860 | − | 1.35475i | ||||
\(787\) | 3.55944e8 | + | 6.16513e8i | 0.730226 | + | 1.26479i | 0.956786 | + | 0.290792i | \(0.0939186\pi\) |
−0.226560 | + | 0.973997i | \(0.572748\pi\) | |||||||
\(788\) | 1.41873e8 | − | 8.19104e7i | 0.289948 | − | 0.167402i | ||||
\(789\) | 1.72842e8 | − | 1.79712e7i | 0.351898 | − | 0.0365887i | ||||
\(790\) | −2.70842e8 | −0.549331 | ||||||||
\(791\) | −1.51810e8 | + | 5.34465e8i | −0.306741 | + | 1.07991i | ||||
\(792\) | 8.80449e7 | − | 2.68929e8i | 0.177227 | − | 0.541330i | ||||
\(793\) | 1.04310e8 | − | 1.80671e8i | 0.209174 | − | 0.362300i | ||||
\(794\) | 2.74304e8 | − | 1.58369e8i | 0.547987 | − | 0.316380i | ||||
\(795\) | −3.65123e8 | − | 1.63052e8i | −0.726672 | − | 0.324508i | ||||
\(796\) | −9.21046e7 | + | 1.59530e8i | −0.182617 | + | 0.316302i | ||||
\(797\) | 4.14474e8i | 0.818695i | 0.912379 | + | 0.409348i | \(0.134244\pi\) | ||||
−0.912379 | + | 0.409348i | \(0.865756\pi\) | |||||||
\(798\) | 3.03314e8 | + | 5.30501e7i | 0.596876 | + | 0.104394i | ||||
\(799\) | 2.10769e8 | 0.413206 | ||||||||
\(800\) | 1.97100e8 | + | 1.13795e8i | 0.384960 | + | 0.222257i | ||||
\(801\) | −1.12510e8 | − | 5.35192e8i | −0.218923 | − | 1.04139i | ||||
\(802\) | 3.31232e8 | + | 5.73710e8i | 0.642109 | + | 1.11217i | ||||
\(803\) | −2.67347e6 | − | 1.54353e6i | −0.00516332 | − | 0.00298104i | ||||
\(804\) | −7.51734e7 | + | 5.44885e7i | −0.144643 | + | 0.104842i | ||||
\(805\) | 1.10579e8 | + | 4.38832e8i | 0.211975 | + | 0.841222i | ||||
\(806\) | 2.51525e8i | 0.480370i | ||||||||
\(807\) | −8.26013e8 | + | 8.58849e7i | −1.57169 | + | 0.163417i | ||||
\(808\) | −4.09962e8 | − | 7.10075e8i | −0.777159 | − | 1.34608i | ||||
\(809\) | −1.03739e8 | + | 5.98936e7i | −0.195927 | + | 0.113119i | −0.594754 | − | 0.803907i | \(-0.702751\pi\) |
0.398827 | + | 0.917026i | \(0.369417\pi\) | |||||||
\(810\) | 2.12315e8 | − | 9.33946e7i | 0.399509 | − | 0.175738i | ||||
\(811\) | −1.83712e8 | −0.344410 | −0.172205 | − | 0.985061i | \(-0.555089\pi\) | ||||
−0.172205 | + | 0.985061i | \(0.555089\pi\) | |||||||
\(812\) | 1.61384e8 | − | 4.06663e7i | 0.301434 | − | 0.0759567i | ||||
\(813\) | 1.15036e8 | − | 8.33825e7i | 0.214073 | − | 0.155168i | ||||
\(814\) | 1.10767e8 | − | 1.91854e8i | 0.205370 | − | 0.355711i | ||||
\(815\) | −2.81062e7 | + | 1.62271e7i | −0.0519193 | + | 0.0299756i | ||||
\(816\) | 1.42299e8 | − | 3.18650e8i | 0.261897 | − | 0.586467i | ||||
\(817\) | 5.49849e7 | − | 9.52366e7i | 0.100827 | − | 0.174638i | ||||
\(818\) | 3.73475e8i | 0.682341i | ||||||||
\(819\) | 9.04552e7 | + | 1.85336e8i | 0.164658 | + | 0.337370i | ||||
\(820\) | −2.18734e7 | −0.0396711 | ||||||||
\(821\) | 2.73208e8 | + | 1.57737e8i | 0.493701 | + | 0.285038i | 0.726108 | − | 0.687580i | \(-0.241327\pi\) |
−0.232408 | + | 0.972618i | \(0.574660\pi\) | |||||||
\(822\) | 1.24457e7 | + | 5.55787e6i | 0.0224081 | + | 0.0100067i | ||||
\(823\) | −1.92392e7 | − | 3.33232e7i | −0.0345133 | − | 0.0597788i | 0.848253 | − | 0.529592i | \(-0.177655\pi\) |
−0.882766 | + | 0.469813i | \(0.844321\pi\) | |||||||
\(824\) | −3.59600e8 | − | 2.07615e8i | −0.642743 | − | 0.371088i | ||||
\(825\) | 1.23853e8 | + | 1.70870e8i | 0.220569 | + | 0.304301i | ||||
\(826\) | −6.81078e8 | − | 1.93455e8i | −1.20853 | − | 0.343272i | ||||
\(827\) | − | 6.64958e8i | − | 1.17565i | −0.808988 | − | 0.587825i | \(-0.799984\pi\) | ||
0.808988 | − | 0.587825i | \(-0.200016\pi\) | |||||||
\(828\) | 2.23752e8 | − | 2.00564e8i | 0.394164 | − | 0.353316i | ||||
\(829\) | −3.05620e8 | − | 5.29350e8i | −0.536437 | − | 0.929136i | −0.999092 | − | 0.0425975i | \(-0.986437\pi\) |
0.462656 | − | 0.886538i | \(-0.346897\pi\) | |||||||
\(830\) | 1.56835e8 | − | 9.05489e7i | 0.274290 | − | 0.158361i | ||||
\(831\) | 2.06200e6 | + | 1.98317e7i | 0.00359324 | + | 0.0345587i | ||||
\(832\) | 2.33530e8 | 0.405482 | ||||||||
\(833\) | −6.49619e8 | − | 1.94340e7i | −1.12389 | − | 0.0336222i | ||||
\(834\) | −4.81515e8 | − | 6.64308e8i | −0.830064 | − | 1.14517i | ||||
\(835\) | −8.94219e7 | + | 1.54883e8i | −0.153598 | + | 0.266039i | ||||
\(836\) | −6.31905e7 | + | 3.64830e7i | −0.108152 | + | 0.0624413i | ||||
\(837\) | −6.12854e8 | + | 6.76074e8i | −1.04515 | + | 1.15297i | ||||
\(838\) | −1.56667e8 | + | 2.71356e8i | −0.266224 | + | 0.461113i | ||||
\(839\) | − | 7.78319e8i | − | 1.31787i | −0.752201 | − | 0.658934i | \(-0.771008\pi\) | ||
0.752201 | − | 0.658934i | \(-0.228992\pi\) | |||||||
\(840\) | −3.21654e8 | + | 1.17577e8i | −0.542689 | + | 0.198373i | ||||
\(841\) | 4.68573e7 | 0.0787752 | ||||||||
\(842\) | 2.57921e8 | + | 1.48911e8i | 0.432067 | + | 0.249454i | ||||
\(843\) | 2.37267e8 | − | 5.31313e8i | 0.396054 | − | 0.886885i | ||||
\(844\) | −4.10208e7 | − | 7.10501e7i | −0.0682302 | − | 0.118178i | ||||
\(845\) | 2.38261e8 | + | 1.37560e8i | 0.394896 | + | 0.227993i | ||||
\(846\) | 5.69286e7 | − | 1.73886e8i | 0.0940198 | − | 0.287179i | ||||
\(847\) | 3.16660e8 | − | 3.07329e8i | 0.521127 | − | 0.505770i | ||||
\(848\) | 5.22275e8i | 0.856469i | ||||||||
\(849\) | −1.12035e7 | − | 1.07752e8i | −0.0183076 | − | 0.176076i | ||||
\(850\) | 2.03911e8 | + | 3.53184e8i | 0.332035 | + | 0.575101i | ||||
\(851\) | 8.32753e8 | − | 4.80790e8i | 1.35122 | − | 0.780129i | ||||
\(852\) | −1.66420e8 | + | 1.73036e7i | −0.269084 | + | 0.0279781i | ||||
\(853\) | −7.77463e8 | −1.25266 | −0.626329 | − | 0.779559i | \(-0.715443\pi\) | ||||
−0.626329 | + | 0.779559i | \(0.715443\pi\) | |||||||
\(854\) | 5.53419e8 | − | 1.39453e8i | 0.888547 | − | 0.223900i | ||||
\(855\) | −2.32341e8 | − | 7.60664e7i | −0.371730 | − | 0.121701i | ||||
\(856\) | −4.30515e8 | + | 7.45674e8i | −0.686384 | + | 1.18885i | ||||
\(857\) | −1.34313e8 | + | 7.75458e7i | −0.213391 | + | 0.123201i | −0.602886 | − | 0.797827i | \(-0.705983\pi\) |
0.389495 | + | 0.921028i | \(0.372649\pi\) | |||||||
\(858\) | 9.31545e7 | + | 4.15998e7i | 0.147483 | + | 0.0658612i | ||||
\(859\) | 1.49561e8 | − | 2.59048e8i | 0.235961 | − | 0.408696i | −0.723591 | − | 0.690229i | \(-0.757510\pi\) |
0.959551 | + | 0.281533i | \(0.0908430\pi\) | |||||||
\(860\) | 2.99219e7i | 0.0470429i | ||||||||
\(861\) | −9.45222e7 | + | 1.12964e8i | −0.148090 | + | 0.176983i | ||||
\(862\) | −2.34740e8 | −0.366493 | ||||||||
\(863\) | −1.56018e8 | − | 9.00769e7i | −0.242740 | − | 0.140146i | 0.373695 | − | 0.927552i | \(-0.378091\pi\) |
−0.616436 | + | 0.787405i | \(0.711424\pi\) | |||||||
\(864\) | 2.95735e8 | + | 2.68081e8i | 0.458524 | + | 0.415647i | ||||
\(865\) | −2.09513e7 | − | 3.62888e7i | −0.0323715 | − | 0.0560691i | ||||
\(866\) | −2.79367e8 | − | 1.61293e8i | −0.430151 | − | 0.248348i | ||||
\(867\) | −1.39443e8 | + | 1.01073e8i | −0.213963 | + | 0.155088i | ||||
\(868\) | 2.36525e8 | − | 2.29555e8i | 0.361675 | − | 0.351017i | ||||
\(869\) | − | 4.32183e8i | − | 0.658579i | ||||||
\(870\) | 2.74374e8 | − | 2.85281e7i | 0.416663 | − | 0.0433227i | ||||
\(871\) | −6.84128e7 | − | 1.18494e8i | −0.103534 | − | 0.179326i | ||||
\(872\) | −9.25389e8 | + | 5.34274e8i | −1.39565 | + | 0.805776i | ||||
\(873\) | 1.03275e8 | + | 1.15215e8i | 0.155222 | + | 0.173167i | ||||
\(874\) | 6.61175e8 | 0.990335 | ||||||||
\(875\) | 1.66944e8 | − | 5.87744e8i | 0.249199 | − | 0.877333i | ||||
\(876\) | 2.00856e6 | − | 1.45588e6i | 0.00298795 | − | 0.00216578i | ||||
\(877\) | −1.11962e8 | + | 1.93924e8i | −0.165986 | + | 0.287496i | −0.937005 | − | 0.349316i | \(-0.886414\pi\) |
0.771019 | + | 0.636812i | \(0.219747\pi\) | |||||||
\(878\) | −2.05793e7 | + | 1.18815e7i | −0.0304052 | + | 0.0175545i | ||||
\(879\) | 3.37819e8 | − | 7.56480e8i | 0.497414 | − | 1.11386i | ||||
\(880\) | −5.40586e7 | + | 9.36323e7i | −0.0793263 | + | 0.137397i | ||||
\(881\) | − | 2.77136e8i | − | 0.405289i | −0.979252 | − | 0.202645i | \(-0.935046\pi\) | ||
0.979252 | − | 0.202645i | \(-0.0649537\pi\) | |||||||
\(882\) | −1.91495e8 | + | 5.30690e8i | −0.279094 | + | 0.773455i | ||||
\(883\) | 1.26602e9 | 1.83890 | 0.919452 | − | 0.393203i | \(-0.128633\pi\) | ||||
0.919452 | + | 0.393203i | \(0.128633\pi\) | |||||||
\(884\) | −8.17872e7 | − | 4.72199e7i | −0.118394 | − | 0.0683546i | ||||
\(885\) | 5.13285e8 | + | 2.29217e8i | 0.740507 | + | 0.330686i | ||||
\(886\) | 2.61304e7 | + | 4.52592e7i | 0.0375703 | + | 0.0650737i | ||||
\(887\) | 5.24508e8 | + | 3.02825e8i | 0.751591 | + | 0.433931i | 0.826269 | − | 0.563276i | \(-0.190459\pi\) |
−0.0746774 | + | 0.997208i | \(0.523793\pi\) | |||||||
\(888\) | 4.27063e8 | + | 5.89184e8i | 0.609892 | + | 0.841418i | ||||
\(889\) | −7.73749e8 | − | 2.19777e8i | −1.10127 | − | 0.312808i | ||||
\(890\) | 3.27424e8i | 0.464451i | ||||||||
\(891\) | 1.49030e8 | + | 3.38792e8i | 0.210688 | + | 0.478961i | ||||
\(892\) | 2.14602e8 | + | 3.71701e8i | 0.302370 | + | 0.523720i | ||||
\(893\) | −1.67012e8 | + | 9.64245e7i | −0.234527 | + | 0.135404i | ||||
\(894\) | 2.29622e7 | + | 2.20843e8i | 0.0321367 | + | 0.309080i | ||||
\(895\) | −9.49038e7 | −0.132378 | ||||||||
\(896\) | 1.34896e8 | + | 1.38992e8i | 0.187532 | + | 0.193226i | ||||
\(897\) | 2.59888e8 | + | 3.58546e8i | 0.360088 | + | 0.496784i | ||||
\(898\) | 2.75187e8 | − | 4.76639e8i | 0.380014 | − | 0.658204i | ||||
\(899\) | −9.39834e8 | + | 5.42614e8i | −1.29352 | + | 0.746813i | ||||
\(900\) | −1.65957e8 | + | 3.48880e7i | −0.227650 | + | 0.0478573i | ||||
\(901\) | 6.16542e8 | − | 1.06788e9i | 0.842924 | − | 1.45999i | ||||
\(902\) | 7.28649e7i | 0.0992885i | ||||||||
\(903\) | 1.54530e8 | + | 1.29303e8i | 0.209870 | + | 0.175608i | ||||
\(904\) | −9.02825e8 | −1.22208 | ||||||||
\(905\) | −2.25350e8 | − | 1.30106e8i | −0.304026 | − | 0.175530i | ||||
\(906\) | −3.95228e8 | + | 8.85034e8i | −0.531450 | + | 1.19008i | ||||
\(907\) | −3.94123e8 | − | 6.82642e8i | −0.528214 | − | 0.914894i | −0.999459 | − | 0.0328915i | \(-0.989528\pi\) |
0.471245 | − | 0.882003i | \(-0.343805\pi\) | |||||||
\(908\) | 9.76412e7 | + | 5.63732e7i | 0.130429 | + | 0.0753034i | ||||
\(909\) | 1.01920e9 | + | 3.33678e8i | 1.35697 | + | 0.444259i | ||||
\(910\) | −3.01697e7 | − | 1.19728e8i | −0.0400357 | − | 0.158881i | ||||
\(911\) | 1.49408e9i | 1.97615i | 0.153976 | + | 0.988075i | \(0.450792\pi\) | ||||
−0.153976 | + | 0.988075i | \(0.549208\pi\) | |||||||
\(912\) | 3.30221e7 | + | 3.17596e8i | 0.0435331 | + | 0.418688i | ||||
\(913\) | 1.44489e8 | + | 2.50263e8i | 0.189855 | + | 0.328839i | ||||
\(914\) | 7.89625e8 | − | 4.55890e8i | 1.03415 | − | 0.597065i | ||||
\(915\) | −4.50699e8 | + | 4.68616e7i | −0.588334 | + | 0.0611721i | ||||
\(916\) | −2.63986e7 | −0.0343475 | ||||||||
\(917\) | −8.89573e8 | − | 9.16583e8i | −1.15365 | − | 1.18868i | ||||
\(918\) | 2.18745e8 | + | 6.80983e8i | 0.282755 | + | 0.880254i | ||||
\(919\) | 2.98707e8 | − | 5.17375e8i | 0.384856 | − | 0.666590i | −0.606893 | − | 0.794783i | \(-0.707584\pi\) |
0.991749 | + | 0.128193i | \(0.0409178\pi\) | |||||||
\(920\) | −6.36844e8 | + | 3.67682e8i | −0.817843 | + | 0.472182i | ||||
\(921\) | 1.86429e8 | + | 8.32531e7i | 0.238635 | + | 0.106567i | ||||
\(922\) | 2.12588e8 | − | 3.68214e8i | 0.271235 | − | 0.469794i | ||||
\(923\) | − | 2.46578e8i | − | 0.313580i | ||||||
\(924\) | −4.58989e7 | − | 1.25566e8i | −0.0581817 | − | 0.159168i | ||||
\(925\) | −5.42687e8 | −0.685684 | ||||||||
\(926\) | −6.94385e8 | − | 4.00903e8i | −0.874515 | − | 0.504902i | ||||
\(927\) | 5.31490e8 | − | 1.11731e8i | 0.667200 | − | 0.140261i | ||||
\(928\) | 2.37356e8 | + | 4.11112e8i | 0.297000 | + | 0.514419i | ||||
\(929\) | 1.07426e9 | + | 6.20222e8i | 1.33986 | + | 0.773571i | 0.986787 | − | 0.162023i | \(-0.0518018\pi\) |
0.353078 | + | 0.935594i | \(0.385135\pi\) | |||||||
\(930\) | 4.42339e8 | − | 3.20624e8i | 0.549928 | − | 0.398609i | ||||
\(931\) | 5.23644e8 | − | 2.81794e8i | 0.648914 | − | 0.349206i | ||||
\(932\) | − | 2.79056e8i | − | 0.344702i | ||||||
\(933\) | −1.27686e9 | + | 1.32762e8i | −1.57216 | + | 0.163466i | ||||
\(934\) | 1.68393e8 | + | 2.91666e8i | 0.206673 | + | 0.357968i | ||||
\(935\) | 2.21064e8 | − | 1.27632e8i | 0.270448 | − | 0.156143i | ||||
\(936\) | −2.49538e8 | + | 2.23677e8i | −0.304305 | + | 0.272769i | ||||
\(937\) | −1.45542e8 | −0.176917 | −0.0884585 | − | 0.996080i | \(-0.528194\pi\) | ||||
−0.0884585 | + | 0.996080i | \(0.528194\pi\) | |||||||
\(938\) | 1.02274e8 | − | 3.60067e8i | 0.123925 | − | 0.436289i | ||||
\(939\) | −6.35661e8 | + | 4.60751e8i | −0.767765 | + | 0.556505i | ||||
\(940\) | 2.62364e7 | − | 4.54427e7i | 0.0315878 | − | 0.0547117i | ||||
\(941\) | 2.91954e8 | − | 1.68560e8i | 0.350386 | − | 0.202295i | −0.314470 | − | 0.949268i | \(-0.601827\pi\) |
0.664855 | + | 0.746972i | \(0.268493\pi\) | |||||||
\(942\) | 2.09785e8 | − | 4.69772e8i | 0.250970 | − | 0.561998i | ||||
\(943\) | −1.58137e8 | + | 2.73901e8i | −0.188581 | + | 0.326632i | ||||
\(944\) | − | 7.34208e8i | − | 0.872776i | ||||||
\(945\) | 2.10631e8 | − | 3.95328e8i | 0.249590 | − | 0.468449i | ||||
\(946\) | 9.96763e7 | 0.117738 | ||||||||
\(947\) | 3.13694e7 | + | 1.81111e7i | 0.0369365 | + | 0.0213253i | 0.518355 | − | 0.855166i | \(-0.326545\pi\) |
−0.481418 | + | 0.876491i | \(0.659878\pi\) | |||||||
\(948\) | 3.17112e8 | + | 1.41612e8i | 0.372209 | + | 0.166217i | ||||
\(949\) | 1.82792e6 | + | 3.16606e6i | 0.00213875 | + | 0.00370442i | ||||
\(950\) | −3.23155e8 | − | 1.86574e8i | −0.376912 | − | 0.217610i | ||||
\(951\) | 4.65605e8 | + | 6.42358e8i | 0.541347 | + | 0.746854i | ||||
\(952\) | −2.58045e8 | − | 1.02405e9i | −0.299078 | − | 1.18689i | ||||
\(953\) | 1.20343e9i | 1.39041i | 0.718811 | + | 0.695205i | \(0.244687\pi\) | ||||
−0.718811 | + | 0.695205i | \(0.755313\pi\) | |||||||
\(954\) | −7.14480e8 | − | 7.97084e8i | −0.822896 | − | 0.918034i | ||||
\(955\) | −1.57329e7 | − | 2.72501e7i | −0.0180633 | − | 0.0312866i | ||||
\(956\) | 2.46110e7 | − | 1.42092e7i | 0.0281680 | − | 0.0162628i | ||||
\(957\) | 4.55224e7 | + | 4.37820e8i | 0.0519385 | + | 0.499527i | ||||
\(958\) | −1.28946e8 | −0.146660 | ||||||||
\(959\) | 2.55250e7 | − | 6.43191e6i | 0.0289408 | − | 0.00729263i | ||||
\(960\) | −2.97685e8 | − | 4.10692e8i | −0.336468 | − | 0.464197i | ||||
\(961\) | −6.30875e8 | + | 1.09271e9i | −0.710842 | + | 1.23121i | ||||
\(962\) | −2.27203e8 | + | 1.31176e8i | −0.255205 | + | 0.147343i | ||||
\(963\) | −2.31689e8 | − | 1.10211e9i | −0.259434 | − | 1.23409i | ||||
\(964\) | −1.34585e8 | + | 2.33108e8i | −0.150233 | + | 0.260211i | ||||
\(965\) | − | 1.45556e7i | − | 0.0161975i | ||||||
\(966\) | −2.08713e8 | + | 1.19332e9i | −0.231536 | + | 1.32381i | ||||
\(967\) | 1.16933e9 | 1.29317 | 0.646586 | − | 0.762841i | \(-0.276196\pi\) | ||||
0.646586 | + | 0.762841i | \(0.276196\pi\) | |||||||
\(968\) | 6.20980e8 | + | 3.58523e8i | 0.684623 | + | 0.395267i | ||||
\(969\) | 3.07400e8 | − | 6.88362e8i | 0.337857 | − | 0.756564i | ||||
\(970\) | −4.63174e7 | − | 8.02241e7i | −0.0507492 | − | 0.0879001i | ||||
\(971\) | 2.74967e8 | + | 1.58752e8i | 0.300347 | + | 0.173405i | 0.642599 | − | 0.766203i | \(-0.277856\pi\) |
−0.342252 | + | 0.939608i | \(0.611190\pi\) | |||||||
\(972\) | −2.97419e8 | − | 1.66088e6i | −0.323870 | − | 0.00180858i | ||||
\(973\) | −1.52419e9 | − | 4.32933e8i | −1.65462 | − | 0.469983i | ||||
\(974\) | − | 1.27085e9i | − | 1.37536i | ||||||
\(975\) | −2.58460e7 | − | 2.48579e8i | −0.0278856 | − | 0.268195i | ||||
\(976\) | 2.95914e8 | + | 5.12538e8i | 0.318285 | + | 0.551286i | ||||
\(977\) | 1.04559e8 | − | 6.03673e7i | 0.112119 | − | 0.0647319i | −0.442892 | − | 0.896575i | \(-0.646047\pi\) |
0.555011 | + | 0.831843i | \(0.312714\pi\) | |||||||
\(978\) | −8.64111e7 | + | 8.98461e6i | −0.0923747 | + | 0.00960467i | ||||
\(979\) | −5.22471e8 | −0.556819 | ||||||||
\(980\) | −8.50540e7 | + | 1.37641e8i | −0.0903683 | + | 0.146241i | ||||
\(981\) | 4.34858e8 | − | 1.32825e9i | 0.460618 | − | 1.40693i | ||||
\(982\) | −3.29796e8 | + | 5.71223e8i | −0.348266 | + | 0.603214i | ||||
\(983\) | 1.02296e9 | − | 5.90608e8i | 1.07696 | − | 0.621783i | 0.146884 | − | 0.989154i | \(-0.453075\pi\) |
0.930074 | + | 0.367371i | \(0.119742\pi\) | |||||||
\(984\) | −2.18541e8 | − | 9.75934e7i | −0.229376 | − | 0.102432i | ||||
\(985\) | 2.62190e8 | − | 4.54126e8i | 0.274351 | − | 0.475191i | ||||
\(986\) | 8.50639e8i | 0.887390i | ||||||||
\(987\) | −1.21311e8 | − | 3.31869e8i | −0.126167 | − | 0.345156i | ||||
\(988\) | 8.64101e7 | 0.0895970 | ||||||||
\(989\) | 3.74686e8 | + | 2.16325e8i | 0.387328 | + | 0.223624i | ||||
\(990\) | −4.55874e7 | − | 2.16852e8i | −0.0469828 | − | 0.223490i | ||||
\(991\) | −5.41017e7 | − | 9.37069e7i | −0.0555892 | − | 0.0962833i | 0.836892 | − | 0.547368i | \(-0.184370\pi\) |
−0.892481 | + | 0.451085i | \(0.851037\pi\) | |||||||
\(992\) | 8.14193e8 | + | 4.70075e8i | 0.834051 | + | 0.481540i | ||||
\(993\) | 7.49580e8 | − | 5.43324e8i | 0.765544 | − | 0.554895i | ||||
\(994\) | 4.84063e8 | − | 4.69798e8i | 0.492882 | − | 0.478357i | ||||
\(995\) | 5.89642e8i | 0.598576i | ||||||||
\(996\) | −2.30973e8 | + | 2.40155e7i | −0.233767 | + | 0.0243060i | ||||
\(997\) | −1.44590e8 | − | 2.50437e8i | −0.145899 | − | 0.252705i | 0.783809 | − | 0.621002i | \(-0.213274\pi\) |
−0.929708 | + | 0.368297i | \(0.879941\pi\) | |||||||
\(998\) | 5.55086e8 | − | 3.20479e8i | 0.558430 | − | 0.322410i | ||||
\(999\) | −9.30317e8 | − | 2.01005e8i | −0.933114 | − | 0.201609i |
(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 | 21.7.h.a.2.10 | yes | 28 | |
3.2 | odd | 2 | inner | 21.7.h.a.2.5 | ✓ | 28 | |
7.2 | even | 3 | 147.7.b.e.50.5 | 14 | |||
7.4 | even | 3 | inner | 21.7.h.a.11.5 | yes | 28 | |
7.5 | odd | 6 | 147.7.b.d.50.5 | 14 | |||
21.2 | odd | 6 | 147.7.b.e.50.10 | 14 | |||
21.5 | even | 6 | 147.7.b.d.50.10 | 14 | |||
21.11 | odd | 6 | inner | 21.7.h.a.11.10 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.7.h.a.2.5 | ✓ | 28 | 3.2 | odd | 2 | inner | |
21.7.h.a.2.10 | yes | 28 | 1.1 | even | 1 | trivial | |
21.7.h.a.11.5 | yes | 28 | 7.4 | even | 3 | inner | |
21.7.h.a.11.10 | yes | 28 | 21.11 | odd | 6 | inner | |
147.7.b.d.50.5 | 14 | 7.5 | odd | 6 | |||
147.7.b.d.50.10 | 14 | 21.5 | even | 6 | |||
147.7.b.e.50.5 | 14 | 7.2 | even | 3 | |||
147.7.b.e.50.10 | 14 | 21.2 | odd | 6 |