Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,9,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(10.9992224717\) |
Analytic rank: | \(0\) |
Dimension: | \(138\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 14.6 | ||
Character | \(\chi\) | \(=\) | 27.14 |
Dual form | 27.9.f.a.2.6 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.2801 | + | 3.22328i | −1.14251 | + | 0.201455i | −0.712703 | − | 0.701466i | \(-0.752529\pi\) |
−0.429806 | + | 0.902921i | \(0.641418\pi\) | |||||||
\(3\) | 61.0463 | − | 53.2386i | 0.753658 | − | 0.657266i | ||||
\(4\) | 83.2125 | − | 30.2869i | 0.325049 | − | 0.118308i | ||||
\(5\) | −223.403 | + | 266.242i | −0.357445 | + | 0.425987i | −0.914561 | − | 0.404448i | \(-0.867464\pi\) |
0.557116 | + | 0.830435i | \(0.311908\pi\) | |||||||
\(6\) | −944.332 | + | 1169.98i | −0.728652 | + | 0.902761i | ||||
\(7\) | −1438.86 | − | 523.701i | −0.599274 | − | 0.218118i | 0.0245293 | − | 0.999699i | \(-0.492191\pi\) |
−0.623804 | + | 0.781581i | \(0.714414\pi\) | |||||||
\(8\) | 2691.76 | − | 1554.09i | 0.657168 | − | 0.379416i | ||||
\(9\) | 892.309 | − | 6500.04i | 0.136002 | − | 0.990709i | ||||
\(10\) | 3225.67 | − | 5587.03i | 0.322567 | − | 0.558703i | ||||
\(11\) | 262.444 | + | 312.769i | 0.0179253 | + | 0.0213625i | 0.774933 | − | 0.632044i | \(-0.217784\pi\) |
−0.757007 | + | 0.653406i | \(0.773339\pi\) | |||||||
\(12\) | 3467.39 | − | 6279.02i | 0.167216 | − | 0.302808i | ||||
\(13\) | −7243.71 | + | 41081.1i | −0.253622 | + | 1.43836i | 0.545962 | + | 0.837810i | \(0.316164\pi\) |
−0.799585 | + | 0.600554i | \(0.794947\pi\) | |||||||
\(14\) | 27990.6 | + | 4935.49i | 0.728617 | + | 0.128475i | ||||
\(15\) | 536.374 | + | 28146.7i | 0.0105950 | + | 0.555985i | ||||
\(16\) | −61562.3 | + | 51656.9i | −0.939367 | + | 0.788222i | ||||
\(17\) | 52651.8 | + | 30398.5i | 0.630402 | + | 0.363963i | 0.780908 | − | 0.624646i | \(-0.214757\pi\) |
−0.150506 | + | 0.988609i | \(0.548090\pi\) | |||||||
\(18\) | 4639.91 | + | 121698.i | 0.0441998 | + | 1.15929i | ||||
\(19\) | 81686.6 | + | 141485.i | 0.626811 | + | 1.08567i | 0.988188 | + | 0.153249i | \(0.0489735\pi\) |
−0.361377 | + | 0.932420i | \(0.617693\pi\) | |||||||
\(20\) | −10526.3 | + | 28920.8i | −0.0657895 | + | 0.180755i | ||||
\(21\) | −115718. | + | 44632.7i | −0.595010 | + | 0.229496i | ||||
\(22\) | −5805.66 | − | 4871.53i | −0.0247834 | − | 0.0207957i | ||||
\(23\) | 88565.0 | + | 243330.i | 0.316483 | + | 0.869531i | 0.991309 | + | 0.131554i | \(0.0419966\pi\) |
−0.674826 | + | 0.737977i | \(0.735781\pi\) | |||||||
\(24\) | 81584.6 | − | 238177.i | 0.245903 | − | 0.717884i | ||||
\(25\) | 46855.7 | + | 265732.i | 0.119951 | + | 0.680274i | ||||
\(26\) | − | 774316.i | − | 1.69444i | ||||||
\(27\) | −291581. | − | 444309.i | −0.548660 | − | 0.836045i | ||||
\(28\) | −135592. | −0.220599 | ||||||||
\(29\) | 833385. | − | 146948.i | 1.17829 | − | 0.207765i | 0.449999 | − | 0.893029i | \(-0.351424\pi\) |
0.728295 | + | 0.685264i | \(0.240313\pi\) | |||||||
\(30\) | −100530. | − | 512798.i | −0.124111 | − | 0.633083i | ||||
\(31\) | −733729. | + | 267056.i | −0.794491 | + | 0.289171i | −0.707202 | − | 0.707012i | \(-0.750043\pi\) |
−0.0872894 | + | 0.996183i | \(0.527820\pi\) | |||||||
\(32\) | 447401. | − | 533192.i | 0.426675 | − | 0.508492i | ||||
\(33\) | 32672.6 | + | 5121.24i | 0.0275504 | + | 0.00431836i | ||||
\(34\) | −1.06047e6 | − | 385978.i | −0.793562 | − | 0.288833i | ||||
\(35\) | 460877. | − | 266087.i | 0.307123 | − | 0.177318i | ||||
\(36\) | −122615. | − | 567910.i | −0.0730015 | − | 0.338119i | ||||
\(37\) | −858362. | + | 1.48673e6i | −0.457998 | + | 0.793276i | −0.998855 | − | 0.0478387i | \(-0.984767\pi\) |
0.540857 | + | 0.841115i | \(0.318100\pi\) | |||||||
\(38\) | −1.94929e6 | − | 2.32307e6i | −0.934850 | − | 1.11411i | ||||
\(39\) | 1.74490e6 | + | 2.89349e6i | 0.754243 | + | 1.25073i | ||||
\(40\) | −187585. | + | 1.06385e6i | −0.0732754 | + | 0.415565i | ||||
\(41\) | −24637.0 | − | 4344.17i | −0.00871872 | − | 0.00153735i | 0.169287 | − | 0.985567i | \(-0.445853\pi\) |
−0.178006 | + | 0.984029i | \(0.556965\pi\) | |||||||
\(42\) | 1.97148e6 | − | 1.18888e6i | 0.633571 | − | 0.382069i | ||||
\(43\) | 738972. | − | 620071.i | 0.216150 | − | 0.181371i | −0.528284 | − | 0.849068i | \(-0.677164\pi\) |
0.744433 | + | 0.667697i | \(0.232720\pi\) | |||||||
\(44\) | 31311.4 | + | 18077.7i | 0.00835396 | + | 0.00482316i | ||||
\(45\) | 1.53124e6 | + | 1.68970e6i | 0.373415 | + | 0.412059i | ||||
\(46\) | −2.40330e6 | − | 4.16264e6i | −0.536756 | − | 0.929689i | ||||
\(47\) | 463987. | − | 1.27479e6i | 0.0950854 | − | 0.261245i | −0.883027 | − | 0.469322i | \(-0.844498\pi\) |
0.978112 | + | 0.208077i | \(0.0667205\pi\) | |||||||
\(48\) | −1.00801e6 | + | 6.43096e6i | −0.189890 | + | 1.21146i | ||||
\(49\) | −2.62005e6 | − | 2.19848e6i | −0.454490 | − | 0.381362i | ||||
\(50\) | −1.71306e6 | − | 4.70659e6i | −0.274089 | − | 0.753054i | ||||
\(51\) | 4.83258e6 | − | 947388.i | 0.714328 | − | 0.140038i | ||||
\(52\) | 641451. | + | 3.63785e6i | 0.0877304 | + | 0.497544i | ||||
\(53\) | − | 6.06703e6i | − | 0.768905i | −0.923145 | − | 0.384452i | \(-0.874390\pi\) | ||
0.923145 | − | 0.384452i | \(-0.125610\pi\) | |||||||
\(54\) | 6.76226e6 | + | 7.18218e6i | 0.795275 | + | 0.844659i | ||||
\(55\) | −141903. | −0.0155075 | ||||||||
\(56\) | −4.68694e6 | + | 826433.i | −0.476581 | + | 0.0840341i | ||||
\(57\) | 1.25192e7 | + | 4.28829e6i | 1.18597 | + | 0.406242i | ||||
\(58\) | −1.47607e7 | + | 5.37247e6i | −1.30436 | + | 0.474747i | ||||
\(59\) | −1.23794e7 | + | 1.47532e7i | −1.02163 | + | 1.21753i | −0.0458050 | + | 0.998950i | \(0.514585\pi\) |
−0.975820 | + | 0.218575i | \(0.929859\pi\) | |||||||
\(60\) | 897110. | + | 2.32592e6i | 0.0692215 | + | 0.179469i | ||||
\(61\) | 7.35050e6 | + | 2.67536e6i | 0.530881 | + | 0.193225i | 0.593532 | − | 0.804810i | \(-0.297733\pi\) |
−0.0626504 | + | 0.998036i | \(0.519955\pi\) | |||||||
\(62\) | 1.25519e7 | − | 7.24683e6i | 0.849458 | − | 0.490435i | ||||
\(63\) | −4.68799e6 | + | 8.88533e6i | −0.297594 | + | 0.564042i | ||||
\(64\) | 3.82665e6 | − | 6.62796e6i | 0.228086 | − | 0.395057i | ||||
\(65\) | −9.31923e6 | − | 1.11062e7i | −0.522068 | − | 0.622176i | ||||
\(66\) | −613767. | + | 11696.2i | −0.0323465 | + | 0.000616407i | ||||
\(67\) | −3.57529e6 | + | 2.02765e7i | −0.177424 | + | 1.00622i | 0.757885 | + | 0.652388i | \(0.226233\pi\) |
−0.935309 | + | 0.353832i | \(0.884878\pi\) | |||||||
\(68\) | 5.30197e6 | + | 934880.i | 0.247971 | + | 0.0437240i | ||||
\(69\) | 1.83611e7 | + | 1.01394e7i | 0.810034 | + | 0.447315i | ||||
\(70\) | −7.56721e6 | + | 6.34965e6i | −0.315169 | + | 0.264458i | ||||
\(71\) | 1.86096e7 | + | 1.07443e7i | 0.732325 | + | 0.422808i | 0.819272 | − | 0.573405i | \(-0.194378\pi\) |
−0.0869473 | + | 0.996213i | \(0.527711\pi\) | |||||||
\(72\) | −7.69975e6 | − | 1.88833e7i | −0.286515 | − | 0.702663i | ||||
\(73\) | −2.63704e7 | − | 4.56749e7i | −0.928593 | − | 1.60837i | −0.785678 | − | 0.618635i | \(-0.787686\pi\) |
−0.142914 | − | 0.989735i | \(-0.545647\pi\) | |||||||
\(74\) | 1.08988e7 | − | 2.99443e7i | 0.363457 | − | 0.998590i | ||||
\(75\) | 1.70076e7 | + | 1.37274e7i | 0.537523 | + | 0.433855i | ||||
\(76\) | 1.10825e7 | + | 9.29932e6i | 0.332188 | + | 0.278738i | ||||
\(77\) | −213822. | − | 587472.i | −0.00608262 | − | 0.0167119i | ||||
\(78\) | −4.12235e7 | − | 4.72692e7i | −1.11370 | − | 1.27703i | ||||
\(79\) | 6.77127e6 | + | 3.84018e7i | 0.173845 | + | 0.985923i | 0.939469 | + | 0.342635i | \(0.111319\pi\) |
−0.765624 | + | 0.643289i | \(0.777570\pi\) | |||||||
\(80\) | − | 2.79308e7i | − | 0.681904i | ||||||
\(81\) | −4.14543e7 | − | 1.16001e7i | −0.963007 | − | 0.269477i | ||||
\(82\) | 464371. | 0.0102709 | ||||||||
\(83\) | −1.82582e7 | + | 3.21941e6i | −0.384721 | + | 0.0678366i | −0.362664 | − | 0.931920i | \(-0.618133\pi\) |
−0.0220569 | + | 0.999757i | \(0.507021\pi\) | |||||||
\(84\) | −8.27741e6 | + | 7.21874e6i | −0.166256 | + | 0.144992i | ||||
\(85\) | −1.98560e7 | + | 7.22697e6i | −0.380378 | + | 0.138446i | ||||
\(86\) | −1.15098e7 | + | 1.37169e7i | −0.210415 | + | 0.250762i | ||||
\(87\) | 4.30518e7 | − | 5.33389e7i | 0.751474 | − | 0.931037i | ||||
\(88\) | 1.19251e6 | + | 434037.i | 0.0198852 | + | 0.00723763i | ||||
\(89\) | 7.85112e7 | − | 4.53284e7i | 1.25133 | − | 0.722455i | 0.279955 | − | 0.960013i | \(-0.409680\pi\) |
0.971373 | + | 0.237558i | \(0.0763471\pi\) | |||||||
\(90\) | −3.34376e7 | − | 2.59523e7i | −0.509642 | − | 0.395555i | ||||
\(91\) | 3.19369e7 | − | 5.53163e7i | 0.465722 | − | 0.806655i | ||||
\(92\) | 1.47394e7 | + | 1.75658e7i | 0.205745 | + | 0.245197i | ||||
\(93\) | −3.05738e7 | + | 5.53655e7i | −0.408712 | + | 0.740128i | ||||
\(94\) | −4.37272e6 | + | 2.47989e7i | −0.0560068 | + | 0.317630i | ||||
\(95\) | −5.59184e7 | − | 9.85992e6i | −0.686531 | − | 0.121054i | ||||
\(96\) | −1.07418e6 | − | 5.63684e7i | −0.0126471 | − | 0.663668i | ||||
\(97\) | 5.90263e7 | − | 4.95290e7i | 0.666744 | − | 0.559464i | −0.245356 | − | 0.969433i | \(-0.578905\pi\) |
0.912100 | + | 0.409969i | \(0.134460\pi\) | |||||||
\(98\) | 5.49811e7 | + | 3.17433e7i | 0.596086 | + | 0.344151i | ||||
\(99\) | 2.26719e6 | − | 1.42681e6i | 0.0236019 | − | 0.0148534i | ||||
\(100\) | 1.19472e7 | + | 2.06931e7i | 0.119472 | + | 0.206931i | ||||
\(101\) | −6.70812e7 | + | 1.84304e8i | −0.644637 | + | 1.77113i | −0.00799213 | + | 0.999968i | \(0.502544\pi\) |
−0.636645 | + | 0.771157i | \(0.719678\pi\) | |||||||
\(102\) | −8.52864e7 | + | 3.28951e7i | −0.787915 | + | 0.303900i | ||||
\(103\) | 8.03334e7 | + | 6.74077e7i | 0.713752 | + | 0.598909i | 0.925649 | − | 0.378383i | \(-0.123520\pi\) |
−0.211897 | + | 0.977292i | \(0.567964\pi\) | |||||||
\(104\) | 4.43453e7 | + | 1.21838e8i | 0.379066 | + | 1.04147i | ||||
\(105\) | 1.39687e7 | − | 4.07801e7i | 0.114921 | − | 0.335499i | ||||
\(106\) | 1.95557e7 | + | 1.10906e8i | 0.154900 | + | 0.878480i | ||||
\(107\) | 1.09060e8i | 0.832017i | 0.909361 | + | 0.416009i | \(0.136571\pi\) | ||||
−0.909361 | + | 0.416009i | \(0.863429\pi\) | |||||||
\(108\) | −3.77199e7 | − | 2.81410e7i | −0.277252 | − | 0.206845i | ||||
\(109\) | 7.61337e6 | 0.0539350 | 0.0269675 | − | 0.999636i | \(-0.491415\pi\) | ||||
0.0269675 | + | 0.999636i | \(0.491415\pi\) | |||||||
\(110\) | 2.59401e6 | − | 457393.i | 0.0177174 | − | 0.00312406i | ||||
\(111\) | 2.67513e7 | + | 1.36457e8i | 0.176219 | + | 0.898886i | ||||
\(112\) | 1.15632e8 | − | 4.20867e7i | 0.734864 | − | 0.267469i | ||||
\(113\) | −1.13330e8 | + | 1.35062e8i | −0.695076 | + | 0.828359i | −0.991960 | − | 0.126555i | \(-0.959608\pi\) |
0.296884 | + | 0.954914i | \(0.404053\pi\) | |||||||
\(114\) | −2.42674e8 | − | 3.80377e7i | −1.43683 | − | 0.225214i | ||||
\(115\) | −8.45704e7 | − | 3.07811e7i | −0.483534 | − | 0.175992i | ||||
\(116\) | 6.48975e7 | − | 3.74686e7i | 0.358423 | − | 0.206936i | ||||
\(117\) | 2.60565e8 | + | 8.37414e7i | 1.39051 | + | 0.446886i | ||||
\(118\) | 1.78743e8 | − | 3.09593e8i | 0.921939 | − | 1.59684i | ||||
\(119\) | −5.98387e7 | − | 7.13130e7i | −0.298397 | − | 0.355616i | ||||
\(120\) | 4.51863e7 | + | 7.49307e7i | 0.217912 | + | 0.361356i | ||||
\(121\) | 3.71941e7 | − | 2.10938e8i | 0.173513 | − | 0.984042i | ||||
\(122\) | −1.42992e8 | − | 2.52133e7i | −0.645463 | − | 0.113812i | ||||
\(123\) | −1.73528e6 | + | 1.04644e6i | −0.00758138 | + | 0.00457189i | ||||
\(124\) | −5.29672e7 | + | 4.44447e7i | −0.224037 | + | 0.187989i | ||||
\(125\) | −1.98791e8 | − | 1.14772e8i | −0.814248 | − | 0.470106i | ||||
\(126\) | 5.70571e7 | − | 1.77536e8i | 0.226375 | − | 0.704374i | ||||
\(127\) | −9.87685e7 | − | 1.71072e8i | −0.379668 | − | 0.657604i | 0.611346 | − | 0.791363i | \(-0.290628\pi\) |
−0.991014 | + | 0.133759i | \(0.957295\pi\) | |||||||
\(128\) | −1.09531e8 | + | 3.00933e8i | −0.408033 | + | 1.12106i | ||||
\(129\) | 1.20998e7 | − | 7.71949e7i | 0.0436939 | − | 0.278760i | ||||
\(130\) | 2.06155e8 | + | 1.72985e8i | 0.721807 | + | 0.605668i | ||||
\(131\) | −9.97225e7 | − | 2.73985e8i | −0.338616 | − | 0.930341i | −0.985788 | − | 0.167996i | \(-0.946270\pi\) |
0.647171 | − | 0.762345i | \(-0.275952\pi\) | |||||||
\(132\) | 2.87388e6 | − | 563401.i | 0.00946613 | − | 0.00185576i | ||||
\(133\) | −4.34394e7 | − | 2.46357e8i | −0.138828 | − | 0.787332i | ||||
\(134\) | − | 3.82180e8i | − | 1.18536i | ||||||
\(135\) | 1.83434e8 | + | 2.16292e7i | 0.552260 | + | 0.0651185i | ||||
\(136\) | 1.88968e8 | 0.552373 | ||||||||
\(137\) | 4.29187e8 | − | 7.56772e7i | 1.21833 | − | 0.214824i | 0.472722 | − | 0.881212i | \(-0.343272\pi\) |
0.745605 | + | 0.666388i | \(0.232160\pi\) | |||||||
\(138\) | −3.68326e8 | − | 1.26166e8i | −1.01558 | − | 0.347876i | ||||
\(139\) | −1.12303e8 | + | 4.08750e7i | −0.300838 | + | 0.109496i | −0.488029 | − | 0.872827i | \(-0.662284\pi\) |
0.187191 | + | 0.982324i | \(0.440062\pi\) | |||||||
\(140\) | 3.02918e7 | − | 3.61003e7i | 0.0788519 | − | 0.0939721i | ||||
\(141\) | −3.95435e7 | − | 1.02523e8i | −0.100046 | − | 0.259386i | ||||
\(142\) | −3.74818e8 | − | 1.36423e8i | −0.921864 | − | 0.335531i | ||||
\(143\) | −1.47500e7 | + | 8.51589e6i | −0.0352733 | + | 0.0203651i | ||||
\(144\) | 2.80839e8 | + | 4.46252e8i | 0.653143 | + | 1.03784i | ||||
\(145\) | −1.47057e8 | + | 2.54711e8i | −0.332671 | + | 0.576202i | ||||
\(146\) | 6.29278e8 | + | 7.49944e8i | 1.38494 | + | 1.65051i | ||||
\(147\) | −2.76988e8 | + | 5.27838e6i | −0.593187 | + | 0.0113040i | ||||
\(148\) | −2.63981e7 | + | 1.49711e8i | −0.0550208 | + | 0.312038i | ||||
\(149\) | −6.60425e8 | − | 1.16451e8i | −1.33992 | − | 0.236264i | −0.542686 | − | 0.839936i | \(-0.682593\pi\) |
−0.797233 | + | 0.603672i | \(0.793704\pi\) | |||||||
\(150\) | −3.55148e8 | − | 1.96119e8i | −0.701527 | − | 0.387396i | ||||
\(151\) | −6.82796e8 | + | 5.72934e8i | −1.31336 | + | 1.10204i | −0.325691 | + | 0.945476i | \(0.605597\pi\) |
−0.987668 | + | 0.156562i | \(0.949959\pi\) | |||||||
\(152\) | 4.39762e8 | + | 2.53896e8i | 0.823840 | + | 0.475644i | ||||
\(153\) | 2.44573e8 | − | 3.15114e8i | 0.446317 | − | 0.575045i | ||||
\(154\) | 5.80229e6 | + | 1.00499e7i | 0.0103161 | + | 0.0178681i | ||||
\(155\) | 9.28162e7 | − | 2.55010e8i | 0.160804 | − | 0.441805i | ||||
\(156\) | 2.32832e8 | + | 1.87927e8i | 0.393138 | + | 0.317316i | ||||
\(157\) | 9.14157e8 | + | 7.67068e8i | 1.50460 | + | 1.26251i | 0.873511 | + | 0.486804i | \(0.161837\pi\) |
0.631092 | + | 0.775708i | \(0.282607\pi\) | |||||||
\(158\) | −2.47560e8 | − | 6.80164e8i | −0.397239 | − | 1.09140i | ||||
\(159\) | −3.23000e8 | − | 3.70370e8i | −0.505375 | − | 0.579492i | ||||
\(160\) | 4.20071e7 | + | 2.38234e8i | 0.0640977 | + | 0.363516i | ||||
\(161\) | − | 3.96499e8i | − | 0.590118i | ||||||
\(162\) | 7.95180e8 | + | 7.84324e7i | 1.15453 | + | 0.113877i | ||||
\(163\) | −8.51414e8 | −1.20612 | −0.603060 | − | 0.797696i | \(-0.706052\pi\) | ||||
−0.603060 | + | 0.797696i | \(0.706052\pi\) | |||||||
\(164\) | −2.18168e6 | + | 384689.i | −0.00301589 | + | 0.000531783i | ||||
\(165\) | −8.66266e6 | + | 7.55471e6i | −0.0116873 | + | 0.0101925i | ||||
\(166\) | 3.23385e8 | − | 1.17703e8i | 0.425880 | − | 0.155008i | ||||
\(167\) | 9.10357e8 | − | 1.08492e9i | 1.17043 | − | 1.39487i | 0.268338 | − | 0.963325i | \(-0.413526\pi\) |
0.902093 | − | 0.431541i | \(-0.142030\pi\) | |||||||
\(168\) | −2.42122e8 | + | 2.99977e8i | −0.303947 | + | 0.376574i | ||||
\(169\) | −8.68649e8 | − | 3.16162e8i | −1.06487 | − | 0.387582i | ||||
\(170\) | 3.39675e8 | − | 1.96111e8i | 0.406694 | − | 0.234805i | ||||
\(171\) | 9.92550e8 | − | 4.04718e8i | 1.16083 | − | 0.473334i | ||||
\(172\) | 4.27117e7 | − | 7.39789e7i | 0.0488015 | − | 0.0845267i | ||||
\(173\) | 2.97039e8 | + | 3.53997e8i | 0.331611 | + | 0.395199i | 0.905926 | − | 0.423436i | \(-0.139176\pi\) |
−0.574315 | + | 0.818634i | \(0.694732\pi\) | |||||||
\(174\) | −6.15066e8 | + | 1.11381e9i | −0.671004 | + | 1.21511i | ||||
\(175\) | 7.17455e7 | − | 4.06889e8i | 0.0764967 | − | 0.433834i | ||||
\(176\) | −3.23134e7 | − | 5.69772e6i | −0.0336769 | − | 0.00593814i | ||||
\(177\) | 2.97220e7 | + | 1.55969e9i | 0.0302820 | + | 1.58908i | ||||
\(178\) | −1.28909e9 | + | 1.08167e9i | −1.28411 | + | 1.07750i | ||||
\(179\) | −6.54667e8 | − | 3.77972e8i | −0.637688 | − | 0.368170i | 0.146035 | − | 0.989279i | \(-0.453349\pi\) |
−0.783723 | + | 0.621110i | \(0.786682\pi\) | |||||||
\(180\) | 1.78594e8 | + | 9.42278e7i | 0.170128 | + | 0.0897613i | ||||
\(181\) | 1.30127e8 | + | 2.25387e8i | 0.121242 | + | 0.209997i | 0.920258 | − | 0.391313i | \(-0.127979\pi\) |
−0.799016 | + | 0.601310i | \(0.794646\pi\) | |||||||
\(182\) | −4.05511e8 | + | 1.11413e9i | −0.369587 | + | 1.01543i | ||||
\(183\) | 5.91154e8 | − | 2.28009e8i | 0.527104 | − | 0.203305i | ||||
\(184\) | 6.16553e8 | + | 5.17349e8i | 0.537897 | + | 0.451349i | ||||
\(185\) | −2.04068e8 | − | 5.60671e8i | −0.174216 | − | 0.478654i | ||||
\(186\) | 3.80435e8 | − | 1.11064e9i | 0.317855 | − | 0.927940i | ||||
\(187\) | 4.31045e6 | + | 2.44458e7i | 0.00352498 | + | 0.0199911i | ||||
\(188\) | − | 1.20131e8i | − | 0.0961668i | ||||||
\(189\) | 1.86858e8 | + | 7.91998e8i | 0.146441 | + | 0.620693i | ||||
\(190\) | 1.05398e9 | 0.808754 | ||||||||
\(191\) | −3.97575e8 | + | 7.01032e7i | −0.298735 | + | 0.0526750i | −0.321007 | − | 0.947077i | \(-0.604021\pi\) |
0.0222719 | + | 0.999752i | \(0.492910\pi\) | |||||||
\(192\) | −1.19260e8 | − | 6.08338e8i | −0.0877585 | − | 0.447651i | ||||
\(193\) | −1.13999e9 | + | 4.14921e8i | −0.821619 | + | 0.299045i | −0.718414 | − | 0.695615i | \(-0.755132\pi\) |
−0.103204 | + | 0.994660i | \(0.532910\pi\) | |||||||
\(194\) | −9.19364e8 | + | 1.09566e9i | −0.649053 | + | 0.773512i | ||||
\(195\) | −1.16018e9 | − | 1.81852e8i | −0.802396 | − | 0.125771i | ||||
\(196\) | −2.84606e8 | − | 1.03588e8i | −0.192850 | − | 0.0701916i | ||||
\(197\) | 1.93591e9 | − | 1.11770e9i | 1.28535 | − | 0.742096i | 0.307527 | − | 0.951539i | \(-0.400498\pi\) |
0.977821 | + | 0.209443i | \(0.0671651\pi\) | |||||||
\(198\) | −3.68456e7 | + | 3.33901e7i | −0.0239731 | + | 0.0217249i | ||||
\(199\) | −1.14409e8 | + | 1.98163e8i | −0.0729540 | + | 0.126360i | −0.900195 | − | 0.435488i | \(-0.856576\pi\) |
0.827241 | + | 0.561848i | \(0.189909\pi\) | |||||||
\(200\) | 5.39095e8 | + | 6.42469e8i | 0.336935 | + | 0.401543i | ||||
\(201\) | 8.61231e8 | + | 1.42815e9i | 0.527637 | + | 0.874961i | ||||
\(202\) | 6.32189e8 | − | 3.58532e9i | 0.379701 | − | 2.15339i | ||||
\(203\) | −1.27608e9 | − | 2.25007e8i | −0.751439 | − | 0.132499i | ||||
\(204\) | 3.73437e8 | − | 2.25198e8i | 0.215624 | − | 0.130030i | ||||
\(205\) | 6.66059e6 | − | 5.58890e6i | 0.00377135 | − | 0.00316454i | ||||
\(206\) | −1.68578e9 | − | 9.73285e8i | −0.936121 | − | 0.540470i | ||||
\(207\) | 1.66068e9 | − | 3.58550e8i | 0.904494 | − | 0.195285i | ||||
\(208\) | −1.67618e9 | − | 2.90324e9i | −0.895506 | − | 1.55106i | ||||
\(209\) | −2.28140e7 | + | 6.26811e7i | −0.0119569 | + | 0.0328512i | ||||
\(210\) | −1.23905e8 | + | 7.90490e8i | −0.0637104 | + | 0.406461i | ||||
\(211\) | 2.08099e9 | + | 1.74615e9i | 1.04988 | + | 0.880953i | 0.993081 | − | 0.117433i | \(-0.0374665\pi\) |
0.0567980 | + | 0.998386i | \(0.481911\pi\) | |||||||
\(212\) | −1.83751e8 | − | 5.04853e8i | −0.0909677 | − | 0.249932i | ||||
\(213\) | 1.70806e9 | − | 3.34851e8i | 0.829820 | − | 0.162680i | ||||
\(214\) | −3.51533e8 | − | 1.99364e9i | −0.167614 | − | 0.950587i | ||||
\(215\) | 3.35271e8i | 0.156907i | ||||||||
\(216\) | −1.47536e9 | − | 7.42831e8i | −0.677771 | − | 0.341252i | ||||
\(217\) | 1.19559e9 | 0.539192 | ||||||||
\(218\) | −1.39173e8 | + | 2.45400e7i | −0.0616212 | + | 0.0108655i | ||||
\(219\) | −4.04148e9 | − | 1.38436e9i | −1.75697 | − | 0.601829i | ||||
\(220\) | −1.18081e7 | + | 4.29780e6i | −0.00504068 | + | 0.00183466i | ||||
\(221\) | −1.63020e9 | + | 1.94280e9i | −0.683395 | + | 0.814438i | ||||
\(222\) | −9.28858e8 | − | 2.40823e9i | −0.382417 | − | 0.991484i | ||||
\(223\) | 9.99762e8 | + | 3.63884e8i | 0.404275 | + | 0.147144i | 0.536151 | − | 0.844122i | \(-0.319878\pi\) |
−0.131876 | + | 0.991266i | \(0.542100\pi\) | |||||||
\(224\) | −9.22981e8 | + | 5.32883e8i | −0.366607 | + | 0.211661i | ||||
\(225\) | 1.76908e9 | − | 6.74488e7i | 0.690267 | − | 0.0263175i | ||||
\(226\) | 1.63635e9 | − | 2.83424e9i | 0.627253 | − | 1.08643i | ||||
\(227\) | −1.55800e9 | − | 1.85676e9i | −0.586767 | − | 0.699281i | 0.388214 | − | 0.921569i | \(-0.373092\pi\) |
−0.974981 | + | 0.222288i | \(0.928648\pi\) | |||||||
\(228\) | 1.17163e9 | − | 2.23270e7i | 0.433561 | − | 0.00826210i | ||||
\(229\) | −5.67440e8 | + | 3.21811e9i | −0.206337 | + | 1.17020i | 0.688984 | + | 0.724777i | \(0.258057\pi\) |
−0.895321 | + | 0.445421i | \(0.853054\pi\) | |||||||
\(230\) | 1.64517e9 | + | 2.90089e8i | 0.587896 | + | 0.103662i | ||||
\(231\) | −4.43293e7 | − | 2.44794e7i | −0.0155684 | − | 0.00859713i | ||||
\(232\) | 2.01490e9 | − | 1.69070e9i | 0.695508 | − | 0.583600i | ||||
\(233\) | 3.12090e9 | + | 1.80185e9i | 1.05890 | + | 0.611358i | 0.925129 | − | 0.379653i | \(-0.123957\pi\) |
0.133775 | + | 0.991012i | \(0.457290\pi\) | |||||||
\(234\) | −5.03309e9 | − | 6.90930e8i | −1.67869 | − | 0.230447i | ||||
\(235\) | 2.35747e8 | + | 4.08325e8i | 0.0772991 | + | 0.133886i | ||||
\(236\) | −5.83293e8 | + | 1.60258e9i | −0.188035 | + | 0.516622i | ||||
\(237\) | 2.45782e9 | + | 1.98380e9i | 0.779034 | + | 0.628787i | ||||
\(238\) | 1.32372e9 | + | 1.11073e9i | 0.412562 | + | 0.346180i | ||||
\(239\) | 7.81125e8 | + | 2.14612e9i | 0.239403 | + | 0.657754i | 0.999964 | + | 0.00848739i | \(0.00270165\pi\) |
−0.760561 | + | 0.649266i | \(0.775076\pi\) | |||||||
\(240\) | −1.48700e9 | − | 1.70507e9i | −0.448193 | − | 0.513923i | ||||
\(241\) | 6.31882e8 | + | 3.58358e9i | 0.187313 | + | 1.06230i | 0.922948 | + | 0.384926i | \(0.125773\pi\) |
−0.735635 | + | 0.677379i | \(0.763116\pi\) | |||||||
\(242\) | 3.97586e9i | 1.15923i | ||||||||
\(243\) | −3.14820e9 | + | 1.49882e9i | −0.902896 | + | 0.429858i | ||||
\(244\) | 6.92682e8 | 0.195422 | ||||||||
\(245\) | 1.17065e9 | − | 2.06418e8i | 0.324911 | − | 0.0572905i | ||||
\(246\) | 2.83481e7 | − | 2.47224e7i | 0.00774076 | − | 0.00675073i | ||||
\(247\) | −6.40409e9 | + | 2.33090e9i | −1.72056 | + | 0.626232i | ||||
\(248\) | −1.55999e9 | + | 1.85913e9i | −0.412398 | + | 0.491477i | ||||
\(249\) | −9.43199e8 | + | 1.16857e9i | −0.245361 | + | 0.303989i | ||||
\(250\) | 4.00387e9 | + | 1.45729e9i | 1.02499 | + | 0.373066i | ||||
\(251\) | 3.02697e9 | − | 1.74762e9i | 0.762629 | − | 0.440304i | −0.0676098 | − | 0.997712i | \(-0.521537\pi\) |
0.830239 | + | 0.557408i | \(0.188204\pi\) | |||||||
\(252\) | −1.20990e8 | + | 8.81355e8i | −0.0300019 | + | 0.218549i | ||||
\(253\) | −5.28628e7 | + | 9.15610e7i | −0.0129023 | + | 0.0223475i | ||||
\(254\) | 2.35692e9 | + | 2.80886e9i | 0.566251 | + | 0.674832i | ||||
\(255\) | −8.27379e8 | + | 1.49828e9i | −0.195679 | + | 0.354350i | ||||
\(256\) | 6.92024e8 | − | 3.92466e9i | 0.161124 | − | 0.913782i | ||||
\(257\) | 1.73307e9 | + | 3.05588e8i | 0.397269 | + | 0.0700493i | 0.368714 | − | 0.929543i | \(-0.379798\pi\) |
0.0285553 | + | 0.999592i | \(0.490909\pi\) | |||||||
\(258\) | 2.76343e7 | + | 1.45013e9i | 0.00623690 | + | 0.327288i | ||||
\(259\) | 2.01366e9 | − | 1.68966e9i | 0.447494 | − | 0.375492i | ||||
\(260\) | −1.11185e9 | − | 6.41927e8i | −0.243306 | − | 0.140473i | ||||
\(261\) | −2.11532e8 | − | 5.54816e9i | −0.0455842 | − | 1.19560i | ||||
\(262\) | 2.70607e9 | + | 4.68706e9i | 0.574294 | + | 0.994706i | ||||
\(263\) | 2.40551e9 | − | 6.60909e9i | 0.502787 | − | 1.38140i | −0.385755 | − | 0.922601i | \(-0.626059\pi\) |
0.888542 | − | 0.458795i | \(-0.151719\pi\) | |||||||
\(264\) | 9.59057e7 | − | 3.69910e7i | 0.0197437 | − | 0.00761518i | ||||
\(265\) | 1.61530e9 | + | 1.35539e9i | 0.327543 | + | 0.274841i | ||||
\(266\) | 1.58815e9 | + | 4.36342e9i | 0.317224 | + | 0.871566i | ||||
\(267\) | 2.37960e9 | − | 6.94696e9i | 0.468229 | − | 1.36694i | ||||
\(268\) | 3.16602e8 | + | 1.79554e9i | 0.0613726 | + | 0.348061i | ||||
\(269\) | − | 4.63105e8i | − | 0.0884445i | −0.999022 | − | 0.0442222i | \(-0.985919\pi\) | ||
0.999022 | − | 0.0442222i | \(-0.0140810\pi\) | |||||||
\(270\) | −3.42291e9 | + | 1.95874e8i | −0.644080 | + | 0.0368572i | ||||
\(271\) | −9.95879e9 | −1.84642 | −0.923208 | − | 0.384301i | \(-0.874442\pi\) | ||||
−0.923208 | + | 0.384301i | \(0.874442\pi\) | |||||||
\(272\) | −4.81167e9 | + | 8.48426e8i | −0.879063 | + | 0.155002i | ||||
\(273\) | −9.95332e8 | − | 5.07713e9i | −0.179191 | − | 0.914046i | ||||
\(274\) | −7.60166e9 | + | 2.76678e9i | −1.34867 | + | 0.490876i | ||||
\(275\) | −7.08157e7 | + | 8.43948e7i | −0.0123822 | + | 0.0147566i | ||||
\(276\) | 1.83497e9 | + | 2.87620e8i | 0.316222 | + | 0.0495658i | ||||
\(277\) | 7.16936e9 | + | 2.60943e9i | 1.21776 | + | 0.443228i | 0.869388 | − | 0.494129i | \(-0.164513\pi\) |
0.348370 | + | 0.937357i | \(0.386735\pi\) | |||||||
\(278\) | 1.92117e9 | − | 1.10919e9i | 0.321652 | − | 0.185706i | ||||
\(279\) | 1.08116e9 | + | 5.00756e9i | 0.178432 | + | 0.826437i | ||||
\(280\) | 8.27046e8 | − | 1.43249e9i | 0.134554 | − | 0.233055i | ||||
\(281\) | −6.16695e9 | − | 7.34949e9i | −0.989112 | − | 1.17878i | −0.983887 | − | 0.178791i | \(-0.942781\pi\) |
−0.00522454 | − | 0.999986i | \(-0.501663\pi\) | |||||||
\(282\) | 1.05332e9 | + | 1.74668e9i | 0.166558 | + | 0.276196i | ||||
\(283\) | 1.71278e9 | − | 9.71364e9i | 0.267027 | − | 1.51439i | −0.496174 | − | 0.868223i | \(-0.665262\pi\) |
0.763201 | − | 0.646162i | \(-0.223627\pi\) | |||||||
\(284\) | 1.87396e9 | + | 3.30430e8i | 0.288063 | + | 0.0507933i | ||||
\(285\) | −3.93854e9 | + | 2.37510e9i | −0.596975 | + | 0.360000i | ||||
\(286\) | 2.42182e8 | − | 2.03215e8i | 0.0361974 | − | 0.0303733i | ||||
\(287\) | 3.31741e7 | + | 1.91531e7i | 0.00488958 | + | 0.00282300i | ||||
\(288\) | −3.06655e9 | − | 3.38390e9i | −0.445738 | − | 0.491867i | ||||
\(289\) | −1.63974e9 | − | 2.84011e9i | −0.235062 | − | 0.407139i | ||||
\(290\) | 1.86722e9 | − | 5.13015e9i | 0.264000 | − | 0.725334i | ||||
\(291\) | 9.66490e8 | − | 6.16604e9i | 0.134780 | − | 0.859873i | ||||
\(292\) | −3.57770e9 | − | 3.00204e9i | −0.492121 | − | 0.412939i | ||||
\(293\) | 6.70230e8 | + | 1.84144e9i | 0.0909396 | + | 0.249855i | 0.976821 | − | 0.214057i | \(-0.0686678\pi\) |
−0.885882 | + | 0.463911i | \(0.846446\pi\) | |||||||
\(294\) | 5.04636e9 | − | 9.89300e8i | 0.675444 | − | 0.132415i | ||||
\(295\) | −1.16232e9 | − | 6.59182e9i | −0.153475 | − | 0.870397i | ||||
\(296\) | 5.33588e9i | 0.695087i | ||||||||
\(297\) | 6.24423e7 | − | 2.07804e8i | 0.00802515 | − | 0.0267071i | ||||
\(298\) | 1.24480e10 | 1.57846 | ||||||||
\(299\) | −1.06378e10 | + | 1.87573e9i | −1.33097 | + | 0.234686i | ||||
\(300\) | 1.83100e9 | + | 6.27188e8i | 0.226050 | + | 0.0774306i | ||||
\(301\) | −1.38801e9 | + | 5.05194e8i | −0.169093 | + | 0.0615449i | ||||
\(302\) | 1.06349e10 | − | 1.26742e10i | 1.27851 | − | 1.52367i | ||||
\(303\) | 5.71702e9 | + | 1.48224e10i | 0.678265 | + | 1.75852i | ||||
\(304\) | −1.23375e10 | − | 4.49049e9i | −1.44455 | − | 0.525775i | ||||
\(305\) | −2.35442e9 | + | 1.35932e9i | −0.272072 | + | 0.157081i | ||||
\(306\) | −3.45513e9 | + | 6.54866e9i | −0.394075 | + | 0.746907i | ||||
\(307\) | −2.48105e9 | + | 4.29730e9i | −0.279307 | + | 0.483773i | −0.971213 | − | 0.238214i | \(-0.923438\pi\) |
0.691906 | + | 0.721988i | \(0.256771\pi\) | |||||||
\(308\) | −3.55854e7 | − | 4.24090e7i | −0.00395429 | − | 0.00471254i | ||||
\(309\) | 8.49275e9 | − | 1.61841e8i | 0.931568 | − | 0.0177523i | ||||
\(310\) | −8.74722e8 | + | 4.96080e9i | −0.0947160 | + | 0.537161i | ||||
\(311\) | −6.42742e9 | − | 1.13333e9i | −0.687060 | − | 0.121147i | −0.180790 | − | 0.983522i | \(-0.557865\pi\) |
−0.506271 | + | 0.862375i | \(0.668976\pi\) | |||||||
\(312\) | 9.19359e9 | + | 5.07687e9i | 0.970212 | + | 0.535769i | ||||
\(313\) | 6.45751e9 | − | 5.41849e9i | 0.672802 | − | 0.564548i | −0.241091 | − | 0.970502i | \(-0.577505\pi\) |
0.913893 | + | 0.405954i | \(0.133061\pi\) | |||||||
\(314\) | −1.91834e10 | − | 1.10755e10i | −1.97336 | − | 1.13932i | ||||
\(315\) | −1.31833e9 | − | 3.23315e9i | −0.133901 | − | 0.328385i | ||||
\(316\) | 1.72652e9 | + | 2.99043e9i | 0.173151 | + | 0.299906i | ||||
\(317\) | −1.74715e8 | + | 4.80026e8i | −0.0173019 | + | 0.0475366i | −0.948043 | − | 0.318142i | \(-0.896941\pi\) |
0.930741 | + | 0.365679i | \(0.119163\pi\) | |||||||
\(318\) | 7.09829e9 | + | 5.72929e9i | 0.694137 | + | 0.560264i | ||||
\(319\) | 2.64678e8 | + | 2.22091e8i | 0.0255597 | + | 0.0214471i | ||||
\(320\) | 9.09751e8 | + | 2.49952e9i | 0.0867607 | + | 0.238373i | ||||
\(321\) | 5.80622e9 | + | 6.65774e9i | 0.546857 | + | 0.627057i | ||||
\(322\) | 1.27803e9 | + | 7.24806e9i | 0.118882 | + | 0.674215i | ||||
\(323\) | 9.93262e9i | 0.912544i | ||||||||
\(324\) | −3.80085e9 | + | 2.90248e8i | −0.344906 | + | 0.0263384i | ||||
\(325\) | −1.12560e10 | −1.00890 | ||||||||
\(326\) | 1.55640e10 | − | 2.74435e9i | 1.37800 | − | 0.242979i | ||||
\(327\) | 4.64768e8 | − | 4.05325e8i | 0.0406486 | − | 0.0354497i | ||||
\(328\) | −7.30682e7 | + | 2.65946e7i | −0.00631296 | + | 0.00229773i | ||||
\(329\) | −1.33522e9 | + | 1.59125e9i | −0.113965 | + | 0.135818i | ||||
\(330\) | 1.34004e8 | − | 1.66023e8i | 0.0112995 | − | 0.0139995i | ||||
\(331\) | −7.92073e9 | − | 2.88291e9i | −0.659862 | − | 0.240170i | −0.00968542 | − | 0.999953i | \(-0.503083\pi\) |
−0.650177 | + | 0.759783i | \(0.725305\pi\) | |||||||
\(332\) | −1.42180e9 | + | 8.20879e8i | −0.117027 | + | 0.0675658i | ||||
\(333\) | 8.89786e9 | + | 6.90601e9i | 0.723616 | + | 0.561630i | ||||
\(334\) | −1.31444e10 | + | 2.27668e10i | −1.05622 | + | 1.82944i | ||||
\(335\) | −4.59971e9 | − | 5.48172e9i | −0.365217 | − | 0.435249i | ||||
\(336\) | 4.81829e9 | − | 8.72534e9i | 0.378038 | − | 0.684581i | ||||
\(337\) | 2.27225e9 | − | 1.28866e10i | 0.176172 | − | 0.999120i | −0.760611 | − | 0.649208i | \(-0.775101\pi\) |
0.936783 | − | 0.349912i | \(-0.113788\pi\) | |||||||
\(338\) | 1.68981e10 | + | 2.97959e9i | 1.29471 | + | 0.228292i | ||||
\(339\) | 2.72097e8 | + | 1.42786e10i | 0.0206028 | + | 1.08115i | ||||
\(340\) | −1.43338e9 | + | 1.20275e9i | −0.107262 | + | 0.0900035i | ||||
\(341\) | −2.76090e8 | − | 1.59400e8i | −0.0204189 | − | 0.0117889i | ||||
\(342\) | −1.68394e10 | + | 1.05976e10i | −1.23090 | + | 0.774643i | ||||
\(343\) | 7.03206e9 | + | 1.21799e10i | 0.508050 | + | 0.879968i | ||||
\(344\) | 1.02549e9 | − | 2.81751e9i | 0.0732315 | − | 0.201202i | ||||
\(345\) | −6.80146e9 | + | 2.62333e9i | −0.480093 | + | 0.185173i | ||||
\(346\) | −6.57095e9 | − | 5.51368e9i | −0.458483 | − | 0.384713i | ||||
\(347\) | −5.29741e9 | − | 1.45545e10i | −0.365381 | − | 1.00388i | −0.977096 | − | 0.212798i | \(-0.931742\pi\) |
0.611715 | − | 0.791078i | \(-0.290480\pi\) | |||||||
\(348\) | 1.96698e9 | − | 5.74237e9i | 0.134117 | − | 0.391538i | ||||
\(349\) | −4.91194e8 | − | 2.78570e9i | −0.0331094 | − | 0.187773i | 0.963768 | − | 0.266744i | \(-0.0859477\pi\) |
−0.996877 | + | 0.0789708i | \(0.974837\pi\) | |||||||
\(350\) | 7.66924e9i | 0.511070i | ||||||||
\(351\) | 2.03648e10 | − | 8.76001e9i | 1.34169 | − | 0.577133i | ||||
\(352\) | 2.84184e8 | 0.0185110 | ||||||||
\(353\) | 1.90149e10 | − | 3.35285e9i | 1.22461 | − | 0.215931i | 0.476299 | − | 0.879284i | \(-0.341978\pi\) |
0.748307 | + | 0.663352i | \(0.230867\pi\) | |||||||
\(354\) | −5.57064e9 | − | 2.84155e10i | −0.354725 | − | 1.80943i | ||||
\(355\) | −7.01802e9 | + | 2.55435e9i | −0.441877 | + | 0.160830i | ||||
\(356\) | 5.16025e9 | − | 6.14975e9i | 0.321271 | − | 0.382875i | ||||
\(357\) | −7.44954e9 | − | 1.16767e9i | −0.458624 | − | 0.0718865i | ||||
\(358\) | 1.31857e10 | + | 4.79921e9i | 0.802734 | + | 0.292171i | ||||
\(359\) | −7.35567e9 | + | 4.24680e9i | −0.442838 | + | 0.255672i | −0.704801 | − | 0.709405i | \(-0.748964\pi\) |
0.261963 | + | 0.965078i | \(0.415630\pi\) | |||||||
\(360\) | 6.74766e9 | + | 2.16859e9i | 0.401738 | + | 0.129112i | ||||
\(361\) | −4.85363e9 | + | 8.40674e9i | −0.285784 | + | 0.494993i | ||||
\(362\) | −3.10523e9 | − | 3.70066e9i | −0.180825 | − | 0.215499i | ||||
\(363\) | −8.95948e9 | − | 1.48572e10i | −0.516008 | − | 0.855676i | ||||
\(364\) | 9.82190e8 | − | 5.57028e9i | 0.0559487 | − | 0.317301i | ||||
\(365\) | 1.80518e10 | + | 3.18302e9i | 1.01707 | + | 0.179336i | ||||
\(366\) | −1.00714e10 | + | 6.07349e9i | −0.561264 | + | 0.338465i | ||||
\(367\) | 1.46247e10 | − | 1.22716e10i | 0.806163 | − | 0.676451i | −0.143526 | − | 0.989647i | \(-0.545844\pi\) |
0.949689 | + | 0.313195i | \(0.101400\pi\) | |||||||
\(368\) | −1.80220e10 | − | 1.04050e10i | −0.982678 | − | 0.567349i | ||||
\(369\) | −5.02211e7 | + | 1.56265e8i | −0.00270883 | + | 0.00842863i | ||||
\(370\) | 5.53759e9 | + | 9.59138e9i | 0.295470 | + | 0.511769i | ||||
\(371\) | −3.17731e9 | + | 8.72959e9i | −0.167712 | + | 0.460785i | ||||
\(372\) | −8.67277e8 | + | 5.53308e9i | −0.0452883 | + | 0.288932i | ||||
\(373\) | 2.34539e9 | + | 1.96802e9i | 0.121166 | + | 0.101670i | 0.701357 | − | 0.712810i | \(-0.252578\pi\) |
−0.580191 | + | 0.814480i | \(0.697022\pi\) | |||||||
\(374\) | −1.57591e8 | − | 4.32978e8i | −0.00805463 | − | 0.0221299i | ||||
\(375\) | −1.82458e10 | + | 3.57694e9i | −0.922650 | + | 0.180878i | ||||
\(376\) | −7.32200e8 | − | 4.15251e9i | −0.0366335 | − | 0.207759i | ||||
\(377\) | 3.53008e10i | 1.74751i | ||||||||
\(378\) | −5.96862e9 | − | 1.38755e10i | −0.292352 | − | 0.679646i | ||||
\(379\) | 9.45638e9 | 0.458319 | 0.229160 | − | 0.973389i | \(-0.426402\pi\) | ||||
0.229160 | + | 0.973389i | \(0.426402\pi\) | |||||||
\(380\) | −4.95173e9 | + | 8.73124e8i | −0.237478 | + | 0.0418737i | ||||
\(381\) | −1.51371e10 | − | 5.18503e9i | −0.718361 | − | 0.246066i | ||||
\(382\) | 7.04176e9 | − | 2.56299e9i | 0.330695 | − | 0.120363i | ||||
\(383\) | 2.14845e9 | − | 2.56042e9i | 0.0998459 | − | 0.118992i | −0.713808 | − | 0.700342i | \(-0.753031\pi\) |
0.813653 | + | 0.581350i | \(0.197475\pi\) | |||||||
\(384\) | 9.33480e9 | + | 2.42021e10i | 0.429319 | + | 1.11308i | ||||
\(385\) | 2.04178e8 | + | 7.43148e7i | 0.00929323 | + | 0.00338246i | ||||
\(386\) | 1.95017e10 | − | 1.12593e10i | 0.878462 | − | 0.507180i | ||||
\(387\) | −3.37110e9 | − | 5.35664e9i | −0.150289 | − | 0.238808i | ||||
\(388\) | 3.41165e9 | − | 5.90915e9i | 0.150535 | − | 0.260734i | ||||
\(389\) | 1.93823e9 | + | 2.30989e9i | 0.0846461 | + | 0.100877i | 0.806705 | − | 0.590954i | \(-0.201249\pi\) |
−0.722059 | + | 0.691831i | \(0.756804\pi\) | |||||||
\(390\) | 2.17945e10 | − | 4.15323e8i | 0.942081 | − | 0.0179526i | ||||
\(391\) | −2.73378e9 | + | 1.55040e10i | −0.116965 | + | 0.663342i | ||||
\(392\) | −1.04692e10 | − | 1.84600e9i | −0.443371 | − | 0.0781783i | ||||
\(393\) | −2.06743e10 | − | 1.14167e10i | −0.866683 | − | 0.478598i | ||||
\(394\) | −3.17861e10 | + | 2.66717e10i | −1.31902 | + | 1.10679i | ||||
\(395\) | −1.17369e10 | − | 6.77629e9i | −0.482130 | − | 0.278358i | ||||
\(396\) | 1.45445e8 | − | 1.87395e8i | 0.00591450 | − | 0.00762038i | ||||
\(397\) | −4.50332e8 | − | 7.79998e8i | −0.0181289 | − | 0.0314001i | 0.856819 | − | 0.515618i | \(-0.172438\pi\) |
−0.874948 | + | 0.484218i | \(0.839104\pi\) | |||||||
\(398\) | 1.45268e9 | − | 3.99121e9i | 0.0578947 | − | 0.159064i | ||||
\(399\) | −1.57675e10 | − | 1.27265e10i | −0.622116 | − | 0.502133i | ||||
\(400\) | −1.66114e10 | − | 1.39387e10i | −0.648885 | − | 0.544479i | ||||
\(401\) | 3.39206e9 | + | 9.31962e9i | 0.131186 | + | 0.360430i | 0.987843 | − | 0.155457i | \(-0.0496849\pi\) |
−0.856657 | + | 0.515886i | \(0.827463\pi\) | |||||||
\(402\) | −2.03467e10 | − | 2.33307e10i | −0.779095 | − | 0.893355i | ||||
\(403\) | −5.65602e9 | − | 3.20769e10i | −0.214432 | − | 1.21611i | ||||
\(404\) | 1.73681e10i | 0.651968i | ||||||||
\(405\) | 1.23495e10 | − | 8.44536e9i | 0.459016 | − | 0.313905i | ||||
\(406\) | 2.40522e10 | 0.885218 | ||||||||
\(407\) | −6.90274e8 | + | 1.21714e8i | −0.0251561 | + | 0.00443570i | ||||
\(408\) | 1.15358e10 | − | 1.00604e10i | 0.416301 | − | 0.363056i | ||||
\(409\) | 4.63141e10 | − | 1.68570e10i | 1.65508 | − | 0.602402i | 0.665506 | − | 0.746393i | \(-0.268216\pi\) |
0.989579 | + | 0.143991i | \(0.0459937\pi\) | |||||||
\(410\) | −1.03742e8 | + | 1.23635e8i | −0.00367129 | + | 0.00437527i | ||||
\(411\) | 2.21713e10 | − | 2.74691e10i | 0.777006 | − | 0.962669i | ||||
\(412\) | 8.72631e9 | + | 3.17612e9i | 0.302860 | + | 0.110232i | ||||
\(413\) | 2.55385e10 | − | 1.47446e10i | 0.877798 | − | 0.506797i | ||||
\(414\) | −2.92018e10 | + | 1.19072e10i | −0.994051 | + | 0.405329i | ||||
\(415\) | 3.22180e9 | − | 5.58032e9i | 0.108619 | − | 0.188134i | ||||
\(416\) | 1.86633e10 | + | 2.22420e10i | 0.623182 | + | 0.742679i | ||||
\(417\) | −4.67957e9 | + | 8.47414e9i | −0.154761 | + | 0.280254i | ||||
\(418\) | 2.15005e8 | − | 1.21935e9i | 0.00704277 | − | 0.0399415i | ||||
\(419\) | −9.07900e9 | − | 1.60087e9i | −0.294565 | − | 0.0519398i | 0.0244125 | − | 0.999702i | \(-0.492228\pi\) |
−0.318978 | + | 0.947762i | \(0.603340\pi\) | |||||||
\(420\) | −7.27282e7 | − | 3.81648e9i | −0.00233725 | − | 0.122650i | ||||
\(421\) | 2.97544e10 | − | 2.49669e10i | 0.947159 | − | 0.794761i | −0.0316579 | − | 0.999499i | \(-0.510079\pi\) |
0.978817 | + | 0.204738i | \(0.0656343\pi\) | |||||||
\(422\) | −4.36690e10 | − | 2.52123e10i | −1.37697 | − | 0.794993i | ||||
\(423\) | −7.87218e9 | − | 4.15344e9i | −0.245886 | − | 0.129732i | ||||
\(424\) | −9.42870e9 | − | 1.63310e10i | −0.291735 | − | 0.505300i | ||||
\(425\) | −5.61083e9 | + | 1.54156e10i | −0.171977 | + | 0.472504i | ||||
\(426\) | −3.01442e10 | + | 1.16267e10i | −0.915304 | + | 0.353034i | ||||
\(427\) | −9.17523e9 | − | 7.69893e9i | −0.275998 | − | 0.231590i | ||||
\(428\) | 3.30310e9 | + | 9.07519e9i | 0.0984344 | + | 0.270446i | ||||
\(429\) | −4.47057e8 | + | 1.30513e9i | −0.0131988 | + | 0.0385323i | ||||
\(430\) | −1.08067e9 | − | 6.12880e9i | −0.0316097 | − | 0.179268i | ||||
\(431\) | 4.74289e10i | 1.37447i | 0.726436 | + | 0.687234i | \(0.241175\pi\) | ||||
−0.726436 | + | 0.687234i | \(0.758825\pi\) | |||||||
\(432\) | 4.09020e10 | + | 1.22905e10i | 1.17438 | + | 0.352887i | ||||
\(433\) | −2.37974e10 | −0.676984 | −0.338492 | − | 0.940969i | \(-0.609917\pi\) | ||||
−0.338492 | + | 0.940969i | \(0.609917\pi\) | |||||||
\(434\) | −2.18555e10 | + | 3.85372e9i | −0.616031 | + | 0.108623i | ||||
\(435\) | 4.58312e9 | + | 2.33783e10i | 0.127998 | + | 0.652913i | ||||
\(436\) | 6.33527e8 | − | 2.30585e8i | 0.0175315 | − | 0.00638095i | ||||
\(437\) | −2.71931e10 | + | 3.24075e10i | −0.745647 | + | 0.888628i | ||||
\(438\) | 7.83410e10 | + | 1.22795e10i | 2.12859 | + | 0.333644i | ||||
\(439\) | 2.94082e10 | + | 1.07037e10i | 0.791789 | + | 0.288188i | 0.706080 | − | 0.708132i | \(-0.250462\pi\) |
0.0857097 | + | 0.996320i | \(0.472684\pi\) | |||||||
\(440\) | −3.81969e8 | + | 2.20530e8i | −0.0101910 | + | 0.00588378i | ||||
\(441\) | −1.66281e10 | + | 1.50687e10i | −0.439631 | + | 0.398401i | ||||
\(442\) | 2.35381e10 | − | 4.07692e10i | 0.616712 | − | 1.06818i | ||||
\(443\) | 9.78540e8 | + | 1.16618e9i | 0.0254076 | + | 0.0302796i | 0.778599 | − | 0.627522i | \(-0.215931\pi\) |
−0.753191 | + | 0.657802i | \(0.771486\pi\) | |||||||
\(444\) | 6.35891e9 | + | 1.05447e10i | 0.163625 | + | 0.271334i | ||||
\(445\) | −5.47133e9 | + | 3.10295e10i | −0.139525 | + | 0.791287i | ||||
\(446\) | −1.94487e10 | − | 3.42933e9i | −0.491531 | − | 0.0866702i | ||||
\(447\) | −4.65162e10 | + | 2.80512e10i | −1.16513 | + | 0.702621i | ||||
\(448\) | −8.97708e9 | + | 7.53266e9i | −0.222855 | + | 0.186998i | ||||
\(449\) | 2.91593e10 | + | 1.68352e10i | 0.717451 | + | 0.414221i | 0.813814 | − | 0.581126i | \(-0.197388\pi\) |
−0.0963628 | + | 0.995346i | \(0.530721\pi\) | |||||||
\(450\) | −3.21216e10 | + | 6.93521e9i | −0.783334 | + | 0.169126i | ||||
\(451\) | −5.10712e6 | − | 8.84580e6i | −0.000123444 | − | 0.000213811i | ||||
\(452\) | −5.33990e9 | + | 1.46712e10i | −0.127932 | + | 0.351490i | ||||
\(453\) | −1.11800e10 | + | 7.13266e10i | −0.265491 | + | 1.69379i | ||||
\(454\) | 3.44654e10 | + | 2.89199e10i | 0.811260 | + | 0.680728i | ||||
\(455\) | 7.59270e9 | + | 2.08608e10i | 0.177154 | + | 0.486726i | ||||
\(456\) | 4.03629e10 | − | 7.91283e9i | 0.933519 | − | 0.183009i | ||||
\(457\) | 1.09556e10 | + | 6.21321e10i | 0.251171 | + | 1.42446i | 0.805713 | + | 0.592307i | \(0.201783\pi\) |
−0.554541 | + | 0.832156i | \(0.687106\pi\) | |||||||
\(458\) | − | 6.06566e10i | − | 1.37853i | ||||||
\(459\) | −1.84591e9 | − | 3.22573e10i | −0.0415871 | − | 0.726737i | ||||
\(460\) | −7.96958e9 | −0.177993 | ||||||||
\(461\) | −3.07188e10 | + | 5.41656e9i | −0.680145 | + | 0.119928i | −0.503039 | − | 0.864264i | \(-0.667785\pi\) |
−0.177106 | + | 0.984192i | \(0.556674\pi\) | |||||||
\(462\) | 8.89249e8 | + | 3.04602e8i | 0.0195189 | + | 0.00668597i | ||||
\(463\) | 4.22751e10 | − | 1.53869e10i | 0.919942 | − | 0.334831i | 0.161726 | − | 0.986836i | \(-0.448294\pi\) |
0.758215 | + | 0.652004i | \(0.226072\pi\) | |||||||
\(464\) | −4.37142e10 | + | 5.20966e10i | −0.943085 | + | 1.12393i | ||||
\(465\) | −7.91030e9 | − | 2.05088e10i | −0.169193 | − | 0.438661i | ||||
\(466\) | −6.28584e10 | − | 2.28786e10i | −1.33297 | − | 0.485161i | ||||
\(467\) | 6.93681e10 | − | 4.00497e10i | 1.45845 | − | 0.842037i | 0.459516 | − | 0.888169i | \(-0.348023\pi\) |
0.998935 | + | 0.0461320i | \(0.0146895\pi\) | |||||||
\(468\) | 2.42185e10 | − | 9.23369e8i | 0.504853 | − | 0.0192483i | ||||
\(469\) | 1.57631e10 | − | 2.73026e10i | 0.325800 | − | 0.564302i | ||||
\(470\) | −5.62563e9 | − | 6.70437e9i | −0.115287 | − | 0.137394i | ||||
\(471\) | 9.66435e10 | − | 1.84167e9i | 1.96376 | − | 0.0374222i | ||||
\(472\) | −1.03946e10 | + | 5.89507e10i | −0.209431 | + | 1.18774i | ||||
\(473\) | 3.87878e8 | + | 6.83934e7i | 0.00774909 | + | 0.00136637i | ||||
\(474\) | −5.13236e10 | − | 2.83418e10i | −1.01673 | − | 0.561454i | ||||
\(475\) | −3.37697e10 | + | 2.83362e10i | −0.663366 | + | 0.556630i | ||||
\(476\) | −7.13918e9 | − | 4.12181e9i | −0.139066 | − | 0.0802897i | ||||
\(477\) | −3.94359e10 | − | 5.41367e9i | −0.761761 | − | 0.104573i | ||||
\(478\) | −2.11966e10 | − | 3.67137e10i | −0.406027 | − | 0.703260i | ||||
\(479\) | 5.05947e9 | − | 1.39008e10i | 0.0961088 | − | 0.264057i | −0.882317 | − | 0.470656i | \(-0.844017\pi\) |
0.978426 | + | 0.206599i | \(0.0662396\pi\) | |||||||
\(480\) | 1.52476e10 | + | 1.23069e10i | 0.287235 | + | 0.231838i | ||||
\(481\) | −5.48586e10 | − | 4.60319e10i | −1.02486 | − | 0.859960i | ||||
\(482\) | −2.31018e10 | − | 6.34716e10i | −0.428013 | − | 1.17596i | ||||
\(483\) | −2.11091e10 | − | 2.42048e10i | −0.387865 | − | 0.444748i | ||||
\(484\) | −3.29364e9 | − | 1.86792e10i | −0.0600199 | − | 0.340390i | ||||
\(485\) | 2.67802e10i | 0.484002i | ||||||||
\(486\) | 5.27185e10 | − | 3.75463e10i | 0.944969 | − | 0.673010i | ||||
\(487\) | −1.00517e10 | −0.178699 | −0.0893495 | − | 0.996000i | \(-0.528479\pi\) | ||||
−0.0893495 | + | 0.996000i | \(0.528479\pi\) | |||||||
\(488\) | 2.39435e10 | − | 4.22189e9i | 0.422191 | − | 0.0744436i | ||||
\(489\) | −5.19757e10 | + | 4.53281e10i | −0.909002 | + | 0.792742i | ||||
\(490\) | −2.07344e10 | + | 7.54669e9i | −0.359672 | + | 0.130910i | ||||
\(491\) | 6.53311e10 | − | 7.78585e10i | 1.12407 | − | 1.33962i | 0.190308 | − | 0.981724i | \(-0.439051\pi\) |
0.933763 | − | 0.357891i | \(-0.116504\pi\) | |||||||
\(492\) | −1.12703e8 | + | 1.39633e8i | −0.00192343 | + | 0.00238303i | ||||
\(493\) | 4.83463e10 | + | 1.75966e10i | 0.818418 | + | 0.297880i | ||||
\(494\) | 1.09554e11 | − | 6.32513e10i | 1.83960 | − | 1.06209i | ||||
\(495\) | −1.26621e8 | + | 9.22375e8i | −0.00210905 | + | 0.0153634i | ||||
\(496\) | 3.13748e10 | − | 5.43428e10i | 0.518387 | − | 0.897873i | ||||
\(497\) | −2.11498e10 | − | 2.52053e10i | −0.346641 | − | 0.413111i | ||||
\(498\) | 1.34752e10 | − | 2.44019e10i | 0.219087 | − | 0.396740i | ||||
\(499\) | −1.13923e10 | + | 6.46088e10i | −0.183742 | + | 1.04205i | 0.743819 | + | 0.668381i | \(0.233012\pi\) |
−0.927561 | + | 0.373672i | \(0.878099\pi\) | |||||||
\(500\) | −2.00180e10 | − | 3.52971e9i | −0.320288 | − | 0.0564754i | ||||
\(501\) | −2.18570e9 | − | 1.14697e11i | −0.0346928 | − | 1.82054i | ||||
\(502\) | −4.97004e10 | + | 4.17036e10i | −0.782609 | + | 0.656687i | ||||
\(503\) | −9.70501e9 | − | 5.60319e9i | −0.151609 | − | 0.0875313i | 0.422277 | − | 0.906467i | \(-0.361231\pi\) |
−0.573885 | + | 0.818936i | \(0.694564\pi\) | |||||||
\(504\) | 1.18965e9 | + | 3.12027e10i | 0.0184373 | + | 0.483582i | ||||
\(505\) | −3.40833e10 | − | 5.90339e10i | −0.524053 | − | 0.907687i | ||||
\(506\) | 6.71212e8 | − | 1.84414e9i | 0.0102390 | − | 0.0281314i | ||||
\(507\) | −6.98599e10 | + | 2.69451e10i | −1.05729 | + | 0.407800i | ||||
\(508\) | −1.34000e10 | − | 1.12440e10i | −0.201210 | − | 0.168836i | ||||
\(509\) | −9.23104e9 | − | 2.53621e10i | −0.137524 | − | 0.377845i | 0.851743 | − | 0.523959i | \(-0.175546\pi\) |
−0.989268 | + | 0.146114i | \(0.953323\pi\) | |||||||
\(510\) | 1.02952e10 | − | 3.00557e10i | 0.152179 | − | 0.444269i | ||||
\(511\) | 1.40233e10 | + | 7.95299e10i | 0.205667 | + | 1.16640i | ||||
\(512\) | − | 8.00907e9i | − | 0.116547i | ||||||
\(513\) | 3.90450e10 | − | 7.75485e10i | 0.563762 | − | 1.11971i | ||||
\(514\) | −3.26658e10 | −0.467995 | ||||||||
\(515\) | −3.58935e10 | + | 6.32899e9i | −0.510254 | + | 0.0899716i | ||||
\(516\) | −1.33113e9 | − | 6.79005e9i | −0.0187769 | − | 0.0957798i | ||||
\(517\) | 5.20486e8 | − | 1.89441e8i | 0.00728529 | − | 0.00265163i | ||||
\(518\) | −3.13638e10 | + | 3.73779e10i | −0.435621 | + | 0.519153i | ||||
\(519\) | 3.69795e10 | + | 5.79631e9i | 0.509672 | + | 0.0798881i | ||||
\(520\) | −4.23452e10 | − | 1.54124e10i | −0.579149 | − | 0.210793i | ||||
\(521\) | 1.10388e11 | − | 6.37326e10i | 1.49820 | − | 0.864989i | 0.498207 | − | 0.867058i | \(-0.333992\pi\) |
0.999998 | + | 0.00206969i | \(0.000658804\pi\) | |||||||
\(522\) | 2.17501e10 | + | 1.00739e11i | 0.292941 | + | 1.35680i | ||||
\(523\) | −4.11516e10 | + | 7.12766e10i | −0.550022 | + | 0.952666i | 0.448251 | + | 0.893908i | \(0.352047\pi\) |
−0.998272 | + | 0.0587576i | \(0.981286\pi\) | |||||||
\(524\) | −1.65963e10 | − | 1.97787e10i | −0.220134 | − | 0.262345i | ||||
\(525\) | −1.72824e10 | − | 2.86587e10i | −0.227492 | − | 0.377241i | ||||
\(526\) | −2.26701e10 | + | 1.28569e11i | −0.296149 | + | 1.67955i | ||||
\(527\) | −4.67503e10 | − | 8.24334e9i | −0.606096 | − | 0.106871i | ||||
\(528\) | −2.27595e9 | + | 1.37249e9i | −0.0292838 | + | 0.0176593i | ||||
\(529\) | 8.62378e9 | − | 7.23621e9i | 0.110122 | − | 0.0924035i | ||||
\(530\) | −3.38966e10 | − | 1.95702e10i | −0.429589 | − | 0.248023i | ||||
\(531\) | 8.48501e10 | + | 9.36310e10i | 1.06727 | + | 1.17772i | ||||
\(532\) | −1.10761e10 | − | 1.91843e10i | −0.138274 | − | 0.239497i | ||||
\(533\) | 3.56927e8 | − | 9.80648e8i | 0.00442252 | − | 0.0121508i | ||||
\(534\) | −2.11074e10 | + | 1.34661e11i | −0.259579 | + | 1.65607i | ||||
\(535\) | −2.90364e10 | − | 2.43645e10i | −0.354428 | − | 0.297401i | ||||
\(536\) | 2.18876e10 | + | 6.01356e10i | 0.265179 | + | 0.728573i | ||||
\(537\) | −6.00877e10 | + | 1.17797e10i | −0.722585 | + | 0.141657i | ||||
\(538\) | 1.49272e9 | + | 8.46563e9i | 0.0178176 | + | 0.101049i | ||||
\(539\) | − | 1.39645e9i | − | 0.0165451i | ||||||
\(540\) | 1.59190e10 | − | 3.75581e9i | 0.187216 | − | 0.0441702i | ||||
\(541\) | −2.87855e9 | −0.0336035 | −0.0168017 | − | 0.999859i | \(-0.505348\pi\) | ||||
−0.0168017 | + | 0.999859i | \(0.505348\pi\) | |||||||
\(542\) | 1.82048e11 | − | 3.21000e10i | 2.10955 | − | 0.371970i | ||||
\(543\) | 1.99431e10 | + | 6.83125e9i | 0.229399 | + | 0.0785780i | ||||
\(544\) | 3.97648e10 | − | 1.44732e10i | 0.454049 | − | 0.165260i | ||||
\(545\) | −1.70085e9 | + | 2.02700e9i | −0.0192788 | + | 0.0229756i | ||||
\(546\) | 3.45598e10 | + | 8.96024e10i | 0.388867 | + | 1.00821i | ||||
\(547\) | −3.04941e10 | − | 1.10989e10i | −0.340617 | − | 0.123974i | 0.166047 | − | 0.986118i | \(-0.446899\pi\) |
−0.506665 | + | 0.862143i | \(0.669122\pi\) | |||||||
\(548\) | 3.34217e10 | − | 1.92960e10i | 0.370600 | − | 0.213966i | ||||
\(549\) | 2.39489e10 | − | 4.53913e10i | 0.263631 | − | 0.499670i | ||||
\(550\) | 1.02249e9 | − | 1.77101e9i | 0.0111740 | − | 0.0193540i | ||||
\(551\) | 8.88675e10 | + | 1.05908e11i | 0.964132 | + | 1.14901i | ||||
\(552\) | 6.51812e10 | − | 1.24212e9i | 0.702047 | − | 0.0133784i | ||||
\(553\) | 1.03682e10 | − | 5.88009e10i | 0.110867 | − | 0.628757i | ||||
\(554\) | −1.39468e11 | − | 2.45919e10i | −1.48059 | − | 0.261068i | ||||
\(555\) | −4.23069e10 | − | 2.33627e10i | −0.445902 | − | 0.246235i | ||||
\(556\) | −8.10706e9 | + | 6.80263e9i | −0.0848329 | + | 0.0711832i | ||||
\(557\) | −1.21822e11 | − | 7.03341e10i | −1.26563 | − | 0.730710i | −0.291470 | − | 0.956580i | \(-0.594144\pi\) |
−0.974157 | + | 0.225870i | \(0.927478\pi\) | |||||||
\(558\) | −3.59045e10 | − | 8.80541e10i | −0.370350 | − | 0.908265i | ||||
\(559\) | 2.01203e10 | + | 3.48494e10i | 0.206057 | + | 0.356901i | ||||
\(560\) | −1.46274e10 | + | 4.01884e10i | −0.148736 | + | 0.408648i | ||||
\(561\) | 1.56460e9 | + | 1.26284e9i | 0.0157961 | + | 0.0127496i | ||||
\(562\) | 1.36422e11 | + | 1.14472e11i | 1.36754 | + | 1.14750i | ||||
\(563\) | −1.95156e10 | − | 5.36186e10i | −0.194244 | − | 0.533681i | 0.803888 | − | 0.594781i | \(-0.202761\pi\) |
−0.998132 | + | 0.0611000i | \(0.980539\pi\) | |||||||
\(564\) | −6.39562e9 | − | 7.33358e9i | −0.0632072 | − | 0.0724769i | ||||
\(565\) | −1.06407e10 | − | 6.03465e10i | −0.104418 | − | 0.592186i | ||||
\(566\) | 1.83087e11i | 1.78399i | ||||||||
\(567\) | 5.35718e10 | + | 3.84006e10i | 0.518328 | + | 0.371540i | ||||
\(568\) | 6.67901e10 | 0.641680 | ||||||||
\(569\) | −1.32018e11 | + | 2.32784e10i | −1.25946 | + | 0.222077i | −0.763237 | − | 0.646118i | \(-0.776391\pi\) |
−0.496223 | + | 0.868195i | \(0.665280\pi\) | |||||||
\(570\) | 6.43414e10 | − | 5.61122e10i | 0.609525 | − | 0.531567i | ||||
\(571\) | 5.91665e10 | − | 2.15349e10i | 0.556585 | − | 0.202580i | −0.0483848 | − | 0.998829i | \(-0.515407\pi\) |
0.604970 | + | 0.796248i | \(0.293185\pi\) | |||||||
\(572\) | −9.69461e8 | + | 1.15536e9i | −0.00905621 | + | 0.0107928i | ||||
\(573\) | −2.05383e10 | + | 2.54459e10i | −0.190522 | + | 0.236047i | ||||
\(574\) | −6.68163e8 | − | 2.43192e8i | −0.00615510 | − | 0.00224027i | ||||
\(575\) | −6.05109e10 | + | 3.49360e10i | −0.553557 | + | 0.319596i | ||||
\(576\) | −3.96674e10 | − | 3.07876e10i | −0.360366 | − | 0.279696i | ||||
\(577\) | 6.37070e10 | − | 1.10344e11i | 0.574756 | − | 0.995507i | −0.421312 | − | 0.906916i | \(-0.638430\pi\) |
0.996068 | − | 0.0885910i | \(-0.0282364\pi\) | |||||||
\(578\) | 3.91291e10 | + | 4.66322e10i | 0.350581 | + | 0.417806i | ||||
\(579\) | −4.75022e10 | + | 8.60206e10i | −0.422668 | + | 0.765400i | ||||
\(580\) | −4.52261e9 | + | 2.56490e10i | −0.0399648 | + | 0.226651i | ||||
\(581\) | 2.79570e10 | + | 4.92956e9i | 0.245350 | + | 0.0432617i | ||||
\(582\) | 2.20732e9 | + | 1.15831e11i | 0.0192386 | + | 1.00956i | ||||
\(583\) | 1.89758e9 | − | 1.59226e9i | 0.0164258 | − | 0.0137828i | ||||
\(584\) | −1.41966e11 | − | 8.19639e10i | −1.22048 | − | 0.704646i | ||||
\(585\) | −8.05066e10 | + | 5.06652e10i | −0.687397 | + | 0.432600i | ||||
\(586\) | −1.81874e10 | − | 3.15015e10i | −0.154234 | − | 0.267141i | ||||
\(587\) | −1.06263e10 | + | 2.91956e10i | −0.0895015 | + | 0.245903i | −0.976365 | − | 0.216128i | \(-0.930657\pi\) |
0.886863 | + | 0.462032i | \(0.152879\pi\) | |||||||
\(588\) | −2.28890e10 | + | 8.82833e9i | −0.191477 | + | 0.0738532i | ||||
\(589\) | −9.77203e10 | − | 8.19971e10i | −0.811940 | − | 0.681298i | ||||
\(590\) | 4.24946e10 | + | 1.16753e11i | 0.350692 | + | 0.963518i | ||||
\(591\) | 5.86756e10 | − | 1.71297e11i | 0.480959 | − | 1.40410i | ||||
\(592\) | −2.39570e10 | − | 1.35867e11i | −0.195050 | − | 1.10618i | ||||
\(593\) | 7.72499e10i | 0.624711i | 0.949965 | + | 0.312356i | \(0.101118\pi\) | ||||
−0.949965 | + | 0.312356i | \(0.898882\pi\) | |||||||
\(594\) | −4.71645e8 | + | 3.99995e9i | −0.00378852 | + | 0.0321298i | ||||
\(595\) | 3.23547e10 | 0.258148 | ||||||||
\(596\) | −5.84825e10 | + | 1.03120e10i | −0.463491 | + | 0.0817259i | ||||
\(597\) | 3.56563e9 | + | 1.81881e10i | 0.0280698 | + | 0.143182i | ||||
\(598\) | 1.88415e11 | − | 6.85774e10i | 1.47336 | − | 0.536261i | ||||
\(599\) | 7.99461e10 | − | 9.52760e10i | 0.620998 | − | 0.740076i | −0.360244 | − | 0.932858i | \(-0.617307\pi\) |
0.981242 | + | 0.192782i | \(0.0617510\pi\) | |||||||
\(600\) | 6.71139e10 | + | 1.05197e10i | 0.517854 | + | 0.0811705i | ||||
\(601\) | −2.16119e11 | − | 7.86608e10i | −1.65651 | − | 0.602921i | −0.666703 | − | 0.745323i | \(-0.732295\pi\) |
−0.989809 | + | 0.142402i | \(0.954517\pi\) | |||||||
\(602\) | 2.37446e10 | − | 1.37090e10i | 0.180792 | − | 0.104380i | ||||
\(603\) | 1.28607e11 | + | 4.13324e10i | 0.972740 | + | 0.312623i | ||||
\(604\) | −3.94648e10 | + | 6.83550e10i | −0.296526 | + | 0.513597i | ||||
\(605\) | 4.78512e10 | + | 5.70269e10i | 0.357167 | + | 0.425655i | ||||
\(606\) | −1.52285e11 | − | 2.52528e11i | −1.12919 | − | 1.87249i | ||||
\(607\) | 4.05256e10 | − | 2.29832e11i | 0.298521 | − | 1.69300i | −0.354016 | − | 0.935240i | \(-0.615184\pi\) |
0.652537 | − | 0.757757i | \(-0.273705\pi\) | |||||||
\(608\) | 1.11986e11 | + | 1.97461e10i | 0.819498 | + | 0.144500i | ||||
\(609\) | −8.98791e10 | + | 5.42008e10i | −0.653415 | + | 0.394036i | ||||
\(610\) | 3.86576e10 | − | 3.24376e10i | 0.279200 | − | 0.234277i | ||||
\(611\) | 4.90089e10 | + | 2.82953e10i | 0.351650 | + | 0.203025i | ||||
\(612\) | 1.08078e10 | − | 3.36288e10i | 0.0770424 | − | 0.239721i | ||||
\(613\) | 7.90435e10 | + | 1.36907e11i | 0.559789 | + | 0.969583i | 0.997514 | + | 0.0704739i | \(0.0224512\pi\) |
−0.437725 | + | 0.899109i | \(0.644216\pi\) | |||||||
\(614\) | 3.15025e10 | − | 8.65523e10i | 0.221652 | − | 0.608983i | ||||
\(615\) | 1.09060e8 | − | 6.95782e8i | 0.000762366 | − | 0.00486377i | ||||
\(616\) | −1.48854e9 | − | 1.24904e9i | −0.0103380 | − | 0.00867465i | ||||
\(617\) | −6.27486e10 | − | 1.72400e11i | −0.432976 | − | 1.18959i | −0.943977 | − | 0.330011i | \(-0.892948\pi\) |
0.511002 | − | 0.859580i | \(-0.329275\pi\) | |||||||
\(618\) | −1.54727e11 | + | 3.03330e10i | −1.06075 | + | 0.207951i | ||||
\(619\) | 3.91904e10 | + | 2.22260e11i | 0.266942 | + | 1.51391i | 0.763447 | + | 0.645871i | \(0.223506\pi\) |
−0.496504 | + | 0.868034i | \(0.665383\pi\) | |||||||
\(620\) | − | 2.40312e10i | − | 0.162633i | ||||||
\(621\) | 8.22900e10 | − | 1.10301e11i | 0.553325 | − | 0.741671i | ||||
\(622\) | 1.21147e11 | 0.809378 | ||||||||
\(623\) | −1.36705e11 | + | 2.41048e10i | −0.907470 | + | 0.160011i | ||||
\(624\) | −2.56889e11 | − | 8.79943e10i | −1.69437 | − | 0.580385i | ||||
\(625\) | −2.40786e10 | + | 8.76390e9i | −0.157802 | + | 0.0574351i | ||||
\(626\) | −1.00579e11 | + | 1.19865e11i | −0.654951 | + | 0.780540i | ||||
\(627\) | 1.94434e9 | + | 5.04104e9i | 0.0125806 | + | 0.0326174i | ||||
\(628\) | 9.93014e10 | + | 3.61427e10i | 0.638435 | + | 0.232371i | ||||
\(629\) | −9.03887e10 | + | 5.21859e10i | −0.577446 | + | 0.333389i | ||||
\(630\) | 3.45207e10 | + | 5.48530e10i | 0.219138 | + | 0.348208i | ||||
\(631\) | −1.16579e11 | + | 2.01921e11i | −0.735368 | + | 1.27369i | 0.219194 | + | 0.975681i | \(0.429657\pi\) |
−0.954562 | + | 0.298013i | \(0.903676\pi\) | |||||||
\(632\) | 7.79064e10 | + | 9.28452e10i | 0.488320 | + | 0.581958i | ||||
\(633\) | 2.19999e11 | − | 4.19238e9i | 1.37027 | − | 0.0261124i | ||||
\(634\) | 1.64656e9 | − | 9.33810e9i | 0.0101911 | − | 0.0577965i | ||||
\(635\) | 6.76118e10 | + | 1.19218e10i | 0.415841 | + | 0.0733240i | ||||
\(636\) | −3.80950e10 | − | 2.10367e10i | −0.232830 | − | 0.128573i | ||||
\(637\) | 1.09295e11 | − | 9.17092e10i | 0.663807 | − | 0.557000i | ||||
\(638\) | −5.55421e9 | − | 3.20673e9i | −0.0335228 | − | 0.0193544i | ||||
\(639\) | 8.64436e10 | − | 1.11376e11i | 0.518477 | − | 0.668018i | ||||
\(640\) | −5.56514e10 | − | 9.63910e10i | −0.331708 | − | 0.574535i | ||||
\(641\) | −7.15456e10 | + | 1.96570e11i | −0.423790 | + | 1.16435i | 0.525731 | + | 0.850651i | \(0.323792\pi\) |
−0.949521 | + | 0.313703i | \(0.898430\pi\) | |||||||
\(642\) | −1.27598e11 | − | 1.02989e11i | −0.751112 | − | 0.606251i | ||||
\(643\) | 2.36854e9 | + | 1.98744e9i | 0.0138560 | + | 0.0116265i | 0.649689 | − | 0.760200i | \(-0.274899\pi\) |
−0.635833 | + | 0.771826i | \(0.719343\pi\) | |||||||
\(644\) | −1.20087e10 | − | 3.29937e10i | −0.0698158 | − | 0.191817i | ||||
\(645\) | 1.78494e10 | + | 2.04671e10i | 0.103130 | + | 0.118254i | ||||
\(646\) | −3.20156e10 | − | 1.81570e11i | −0.183837 | − | 1.04259i | ||||
\(647\) | − | 3.30829e10i | − | 0.188793i | −0.995535 | − | 0.0943966i | \(-0.969908\pi\) | ||
0.995535 | − | 0.0943966i | \(-0.0300922\pi\) | |||||||
\(648\) | −1.29613e11 | + | 3.31990e10i | −0.735101 | + | 0.188289i | ||||
\(649\) | −7.86324e9 | −0.0443224 | ||||||||
\(650\) | 2.05761e11 | − | 3.62812e10i | 1.15268 | − | 0.203249i | ||||
\(651\) | 7.29863e10 | − | 6.36515e10i | 0.406366 | − | 0.354392i | ||||
\(652\) | −7.08483e10 | + | 2.57867e10i | −0.392048 | + | 0.142694i | ||||
\(653\) | 7.83339e10 | − | 9.33547e10i | 0.430821 | − | 0.513433i | −0.506338 | − | 0.862335i | \(-0.669001\pi\) |
0.937159 | + | 0.348903i | \(0.113446\pi\) | |||||||
\(654\) | −7.18955e9 | + | 8.90747e9i | −0.0392998 | + | 0.0486904i | ||||
\(655\) | 9.52247e10 | + | 3.46589e10i | 0.517350 | + | 0.188300i | ||||
\(656\) | 1.74112e9 | − | 1.00524e9i | 0.00940185 | − | 0.00542816i | ||||
\(657\) | −3.20419e11 | + | 1.30653e11i | −1.71972 | + | 0.701223i | ||||
\(658\) | 1.92790e10 | − | 3.33921e10i | 0.102844 | − | 0.178132i | ||||
\(659\) | −1.08052e11 | − | 1.28771e11i | −0.572916 | − | 0.682775i | 0.399310 | − | 0.916816i | \(-0.369250\pi\) |
−0.972227 | + | 0.234041i | \(0.924805\pi\) | |||||||
\(660\) | −4.92033e8 | + | 8.91011e8i | −0.00259309 | + | 0.00469578i | ||||
\(661\) | 3.13825e10 | − | 1.77979e11i | 0.164392 | − | 0.932316i | −0.785296 | − | 0.619120i | \(-0.787489\pi\) |
0.949689 | − | 0.313196i | \(-0.101400\pi\) | |||||||
\(662\) | 1.54084e11 | + | 2.71693e10i | 0.802282 | + | 0.141464i | ||||
\(663\) | 3.91398e9 | + | 2.05390e11i | 0.0202565 | + | 1.06298i | ||||
\(664\) | −4.41434e10 | + | 3.70407e10i | −0.227088 | + | 0.190549i | ||||
\(665\) | 7.52949e10 | + | 4.34716e10i | 0.385016 | + | 0.222289i | ||||
\(666\) | −1.84914e11 | − | 9.75624e10i | −0.939881 | − | 0.495890i | ||||
\(667\) | 1.09566e11 | + | 1.89773e11i | 0.553569 | + | 0.958809i | ||||
\(668\) | 4.28942e10 | − | 1.17851e11i | 0.215423 | − | 0.591871i | ||||
\(669\) | 8.04045e10 | − | 3.10121e10i | 0.401398 | − | 0.154820i | ||||
\(670\) | 1.01752e11 | + | 8.53804e10i | 0.504946 | + | 0.423700i | ||||
\(671\) | 1.09233e9 | + | 3.00114e9i | 0.00538843 | + | 0.0148046i | ||||
\(672\) | −2.79746e10 | + | 8.16687e10i | −0.137179 | + | 0.400478i | ||||
\(673\) | 1.10197e10 | + | 6.24957e10i | 0.0537166 | + | 0.304642i | 0.999815 | − | 0.0192375i | \(-0.00612385\pi\) |
−0.946098 | + | 0.323880i | \(0.895013\pi\) | |||||||
\(674\) | 2.42892e11i | 1.17699i | ||||||||
\(675\) | 1.04405e11 | − | 9.83007e10i | 0.502928 | − | 0.473523i | ||||
\(676\) | −8.18580e10 | −0.391990 | ||||||||
\(677\) | 1.72977e11 | − | 3.05005e10i | 0.823442 | − | 0.145195i | 0.253977 | − | 0.967210i | \(-0.418261\pi\) |
0.569465 | + | 0.822015i | \(0.307150\pi\) | |||||||
\(678\) | −5.09978e10 | − | 2.60137e11i | −0.241342 | − | 1.23107i | ||||
\(679\) | −1.10869e11 | + | 4.03530e10i | −0.521592 | + | 0.189844i | ||||
\(680\) | −4.22161e10 | + | 5.03112e10i | −0.197443 | + | 0.235304i | ||||
\(681\) | −1.93962e11 | − | 3.04023e10i | −0.901836 | − | 0.141357i | ||||
\(682\) | 5.56075e9 | + | 2.02395e9i | 0.0257037 | + | 0.00935538i | ||||
\(683\) | −2.25895e11 | + | 1.30420e11i | −1.03806 | + | 0.599325i | −0.919284 | − | 0.393596i | \(-0.871231\pi\) |
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(684\) | 7.03350e10 | − | 6.37388e10i | 0.321327 | − | 0.291192i | ||||
\(685\) | −7.57333e10 | + | 1.31174e11i | −0.343973 | + | 0.595779i | ||||
\(686\) | −1.67806e11 | − | 1.99984e11i | −0.757725 | − | 0.903021i | ||||
\(687\) | 1.36688e11 | + | 2.26664e11i | 0.613624 | + | 1.01755i | ||||
\(688\) | −1.34619e10 | + | 7.63461e10i | −0.0600830 | + | 0.340748i | ||||
\(689\) | 2.49240e11 | + | 4.39478e10i | 1.10596 | + | 0.195011i | ||||
\(690\) | 1.15876e11 | − | 6.98779e10i | 0.511206 | − | 0.308279i | ||||
\(691\) | −4.63160e10 | + | 3.88637e10i | −0.203151 | + | 0.170464i | −0.738687 | − | 0.674048i | \(-0.764554\pi\) |
0.535536 | + | 0.844512i | \(0.320109\pi\) | |||||||
\(692\) | 3.54388e10 | + | 2.04606e10i | 0.154545 | + | 0.0892266i | ||||
\(693\) | −4.00939e9 | + | 8.65647e8i | −0.0173838 | + | 0.00375325i | ||||
\(694\) | 1.43751e11 | + | 2.48984e11i | 0.619687 | + | 1.07333i | ||||
\(695\) | 1.42063e10 | − | 3.90314e10i | 0.0608893 | − | 0.167292i | ||||
\(696\) | 3.29917e10 | − | 2.10482e11i | 0.140594 | − | 0.896969i | ||||
\(697\) | −1.16513e9 | − | 9.77658e8i | −0.00493676 | − | 0.00414244i | ||||
\(698\) | 1.79582e10 | + | 4.93397e10i | 0.0756556 | + | 0.207862i | ||||
\(699\) | 2.86448e11 | − | 5.61558e10i | 1.19988 | − | 0.235226i | ||||
\(700\) | −6.35327e9 | − | 3.60312e10i | −0.0264609 | − | 0.150067i | ||||
\(701\) | 2.34678e11i | 0.971852i | 0.874000 | + | 0.485926i | \(0.161518\pi\) | ||||
−0.874000 | + | 0.485926i | \(0.838482\pi\) | |||||||
\(702\) | −3.44036e11 | + | 2.25776e11i | −1.41663 | + | 0.929670i | ||||
\(703\) | −2.80467e11 | −1.14831 | ||||||||
\(704\) | 3.07730e9 | − | 5.42611e8i | 0.0125279 | − | 0.00220901i | ||||
\(705\) | 3.61301e10 | + | 1.23759e10i | 0.146256 | + | 0.0500982i | ||||
\(706\) | −3.36789e11 | + | 1.22581e11i | −1.35562 | + | 0.493406i | ||||
\(707\) | 1.93041e11 | − | 2.30057e11i | 0.772629 | − | 0.920783i | ||||
\(708\) | 4.97114e10 | + | 1.28886e11i | 0.197844 | + | 0.512945i | ||||
\(709\) | 2.36805e11 | + | 8.61899e10i | 0.937143 | + | 0.341092i | 0.765037 | − | 0.643986i | \(-0.222721\pi\) |
0.172106 | + | 0.985078i | \(0.444943\pi\) | |||||||
\(710\) | 1.20057e11 | − | 6.93149e10i | 0.472448 | − | 0.272768i | ||||
\(711\) | 2.55655e11 | − | 9.74725e9i | 1.00041 | − | 0.0381420i | ||||
\(712\) | 1.40889e11 | − | 2.44026e11i | 0.548222 | − | 0.949548i | ||||
\(713\) | −1.29965e11 | − | 1.54887e11i | −0.502886 | − | 0.599317i | ||||
\(714\) | 1.39942e11 | − | 2.66679e9i | 0.538463 | − | 0.0102611i | ||||
\(715\) | 1.02790e9 | − | 5.82953e9i | 0.00393304 | − | 0.0223054i | ||||
\(716\) | −6.59241e10 | − | 1.16242e10i | −0.250837 | − | 0.0442294i | ||||
\(717\) | 1.61941e11 | + | 8.94270e10i | 0.612747 | + | 0.338370i | ||||
\(718\) | 1.20774e11 | − | 1.01341e11i | 0.454439 | − | 0.381320i | ||||
\(719\) | −2.59305e11 | − | 1.49710e11i | −0.970275 | − | 0.560189i | −0.0709551 | − | 0.997480i | \(-0.522605\pi\) |
−0.899320 | + | 0.437291i | \(0.855938\pi\) | |||||||
\(720\) | −1.81551e11 | − | 2.49229e10i | −0.675568 | − | 0.0927404i | ||||
\(721\) | −8.02868e10 | − | 1.39061e11i | −0.297100 | − | 0.514593i | ||||
\(722\) | 6.16278e10 | − | 1.69321e11i | 0.226792 | − | 0.623106i | ||||
\(723\) | 2.29359e11 | + | 1.85124e11i | 0.839387 | + | 0.677500i | ||||
\(724\) | 1.76545e10 | + | 1.48139e10i | 0.0642540 | + | 0.0539155i | ||||
\(725\) | 7.80977e10 | + | 2.14572e11i | 0.282674 | + | 0.776641i | ||||
\(726\) | 2.11669e11 | + | 2.42712e11i | 0.761924 | + | 0.873664i | ||||
\(727\) | 3.23715e10 | + | 1.83588e11i | 0.115885 | + | 0.657214i | 0.986308 | + | 0.164911i | \(0.0527337\pi\) |
−0.870424 | + | 0.492303i | \(0.836155\pi\) | |||||||
\(728\) | − | 1.98531e11i | − | 0.706810i | ||||||
\(729\) | −1.12391e11 | + | 2.59104e11i | −0.397944 | + | 0.917410i | ||||
\(730\) | −3.40249e11 | −1.19813 | ||||||||
\(731\) | 5.77575e10 | − | 1.01842e10i | 0.202273 | − | 0.0356663i | ||||
\(732\) | 4.22857e10 | − | 3.68774e10i | 0.147282 | − | 0.128445i | ||||
\(733\) | −4.74456e11 | + | 1.72688e11i | −1.64354 | + | 0.598199i | −0.987652 | − | 0.156661i | \(-0.949927\pi\) |
−0.655886 | + | 0.754860i | \(0.727705\pi\) | |||||||
\(734\) | −2.27787e11 | + | 2.71466e11i | −0.784774 | + | 0.935257i | ||||
\(735\) | 6.04747e10 | − | 7.49250e10i | 0.207217 | − | 0.256730i | ||||
\(736\) | 1.69366e11 | + | 6.16442e10i | 0.577185 | + | 0.210078i | ||||
\(737\) | −7.28016e9 | + | 4.20320e9i | −0.0246758 | + | 0.0142466i | ||||
\(738\) | 4.14362e8 | − | 3.01843e9i | 0.00139687 | − | 0.0101755i | ||||
\(739\) | −3.06215e10 | + | 5.30379e10i | −0.102671 | + | 0.177832i | −0.912784 | − | 0.408442i | \(-0.866072\pi\) |
0.810113 | + | 0.586273i | \(0.199406\pi\) | |||||||
\(740\) | −3.39620e10 | − | 4.04743e10i | −0.113257 | − | 0.134975i | ||||
\(741\) | −2.66853e11 | + | 4.83237e11i | −0.885112 | + | 1.60283i | ||||
\(742\) | 2.99438e10 | − | 1.69820e11i | 0.0987849 | − | 0.560237i | ||||
\(743\) | −3.40134e11 | − | 5.99748e10i | −1.11608 | − | 0.196795i | −0.414961 | − | 0.909839i | \(-0.636205\pi\) |
−0.701119 | + | 0.713044i | \(0.747316\pi\) | |||||||
\(744\) | 3.74543e9 | + | 1.96545e11i | 0.0122239 | + | 0.641461i | ||||
\(745\) | 1.78545e11 | − | 1.49817e11i | 0.579593 | − | 0.486336i | ||||
\(746\) | −4.92176e10 | − | 2.84158e10i | −0.158915 | − | 0.0917496i | ||||
\(747\) | 4.63434e9 | + | 1.21552e11i | 0.0148835 | + | 0.390372i | ||||
\(748\) | 1.09907e9 | + | 1.90364e9i | 0.00351090 | + | 0.00608106i | ||||
\(749\) | 5.71151e10 | − | 1.56923e11i | 0.181478 | − | 0.498607i | ||||
\(750\) | 3.22006e11 | − | 1.24198e11i | 1.01770 | − | 0.392527i | ||||
\(751\) | −2.09990e11 | − | 1.76202e11i | −0.660143 | − | 0.553926i | 0.249987 | − | 0.968249i | \(-0.419574\pi\) |
−0.910130 | + | 0.414324i | \(0.864018\pi\) | |||||||
\(752\) | 3.72878e10 | + | 1.02447e11i | 0.116599 | + | 0.320353i | ||||
\(753\) | 9.17446e10 | − | 2.67838e11i | 0.285365 | − | 0.833089i | ||||
\(754\) | −1.13784e11 | − | 6.45304e11i | −0.352045 | − | 1.99654i | ||||
\(755\) | − | 3.09784e11i | − | 0.953392i | ||||||
\(756\) | 3.95361e10 | + | 6.02448e10i | 0.121034 | + | 0.184430i | ||||
\(757\) | 4.12942e11 | 1.25749 | 0.628747 | − | 0.777610i | \(-0.283568\pi\) | ||||
0.628747 | + | 0.777610i | \(0.283568\pi\) | |||||||
\(758\) | −1.72864e11 | + | 3.04806e10i | −0.523634 | + | 0.0923308i | ||||
\(759\) | 1.64750e9 | + | 8.40381e9i | 0.00496430 | + | 0.0253226i | ||||
\(760\) | −1.65842e11 | + | 6.03616e10i | −0.497096 | + | 0.180928i | ||||
\(761\) | 4.01928e10 | − | 4.78999e10i | 0.119842 | − | 0.142822i | −0.702788 | − | 0.711400i | \(-0.748062\pi\) |
0.822630 | + | 0.568577i | \(0.192506\pi\) | |||||||
\(762\) | 2.93421e11 | + | 4.59920e10i | 0.870304 | + | 0.136415i | ||||
\(763\) | −1.09546e10 | − | 3.98713e9i | −0.0323219 | − | 0.0117642i | ||||
\(764\) | −3.09600e10 | + | 1.78748e10i | −0.0908715 | + | 0.0524647i | ||||
\(765\) | 2.92580e10 | + | 1.35513e11i | 0.0854276 | + | 0.395672i | ||||
\(766\) | −3.10210e10 | + | 5.37300e10i | −0.0901033 | + | 0.156064i | ||||
\(767\) | −5.16405e11 | − | 6.15427e11i | −1.49214 | − | 1.77826i | ||||
\(768\) | −1.66698e11 | − | 2.76429e11i | −0.479165 | − | 0.794581i | ||||
\(769\) | 6.94082e10 | − | 3.93633e11i | 0.198475 | − | 1.12561i | −0.708908 | − | 0.705301i | \(-0.750812\pi\) |
0.907383 | − | 0.420305i | \(-0.138077\pi\) | |||||||
\(770\) | −3.97194e9 | − | 7.00361e8i | −0.0112990 | − | 0.00199232i | ||||
\(771\) | 1.22067e11 | − | 7.36114e10i | 0.345446 | − | 0.208318i | ||||
\(772\) | −8.22944e10 | + | 6.90532e10i | −0.231687 | + | 0.194408i | ||||
\(773\) | 3.03906e11 | + | 1.75460e11i | 0.851179 | + | 0.491428i | 0.861048 | − | 0.508523i | \(-0.169808\pi\) |
−0.00986956 | + | 0.999951i | \(0.503142\pi\) | |||||||
\(774\) | 7.88901e10 | + | 8.70542e10i | 0.219816 | + | 0.242564i | ||||
\(775\) | −1.05345e11 | − | 1.82462e11i | −0.292015 | − | 0.505785i | ||||
\(776\) | 8.19123e10 | − | 2.25052e11i | 0.225893 | − | 0.620635i | ||||
\(777\) | 3.29714e10 | − | 2.10352e11i | 0.0904594 | − | 0.577116i | ||||
\(778\) | −4.28766e10 | − | 3.59777e10i | −0.117031 | − | 0.0982008i | ||||
\(779\) | −1.39788e9 | − | 3.84064e9i | −0.00379594 | − | 0.0104293i | ||||
\(780\) | −1.02050e11 | + | 2.00060e10i | −0.275698 | + | 0.0540483i | ||||
\(781\) | 1.52351e9 | + | 8.64027e9i | 0.00409489 | + | 0.0232233i | ||||
\(782\) | − | 2.92228e11i | − | 0.781438i | ||||||
\(783\) | −3.08289e11 | − | 3.27433e11i | −0.820184 | − | 0.871115i | ||||
\(784\) | 2.74863e11 | 0.727531 | ||||||||
\(785\) | −4.08451e11 | + | 7.20210e10i | −1.07563 | + | 0.189662i | ||||
\(786\) | 4.14728e11 | + | 1.42060e11i | 1.08661 | + | 0.372205i | ||||
\(787\) | −4.15833e11 | + | 1.51351e11i | −1.08398 | + | 0.394535i | −0.821386 | − | 0.570372i | \(-0.806799\pi\) |
−0.262590 | + | 0.964907i | \(0.584577\pi\) | |||||||
\(788\) | 1.27240e11 | − | 1.51639e11i | 0.330005 | − | 0.393285i | ||||
\(789\) | −2.05011e11 | − | 5.31526e11i | −0.529016 | − | 1.37157i | ||||
\(790\) | 2.36394e11 | + | 8.60403e10i | 0.606915 | + | 0.220899i | ||||
\(791\) | 2.33798e11 | − | 1.34983e11i | 0.597221 | − | 0.344806i | ||||
\(792\) | 3.88534e9 | − | 7.36405e9i | 0.00987481 | − | 0.0187161i | ||||
\(793\) | −1.63152e11 | + | 2.82587e11i | −0.412571 | + | 0.714594i | ||||
\(794\) | 1.07463e10 | + | 1.28069e10i | 0.0270381 | + | 0.0322228i | ||||
\(795\) | 1.70767e11 | − | 3.25420e9i | 0.427500 | − | 0.00814658i | ||||
\(796\) | −3.51855e9 | + | 1.99547e10i | −0.00876419 | + | 0.0497042i | ||||
\(797\) | 4.61690e11 | + | 8.14084e10i | 1.14424 | + | 0.201760i | 0.713460 | − | 0.700696i | \(-0.247127\pi\) |
0.430781 | + | 0.902457i | \(0.358238\pi\) | |||||||
\(798\) | 3.29253e11 | + | 1.81820e11i | 0.811930 | + | 0.448362i | ||||
\(799\) | 6.31816e10 | − | 5.30156e10i | 0.155026 | − | 0.130082i | ||||
\(800\) | 1.62650e11 | + | 9.39058e10i | 0.397094 | + | 0.229262i | ||||
\(801\) | −2.24580e11 | − | 5.50773e11i | −0.545559 | − | 1.33796i | ||||
\(802\) | −9.20472e10 | − | 1.59430e11i | −0.222491 | − | 0.385366i | ||||
\(803\) | 7.36492e9 | − | 2.02350e10i | 0.0177136 | − | 0.0486676i | ||||
\(804\) | 1.14919e11 | + | 9.27556e10i | 0.275023 | + | 0.221981i | ||||
\(805\) | 1.05565e11 | + | 8.85793e10i | 0.251383 | + | 0.210935i | ||||
\(806\) | 2.06786e11 | + | 5.68139e11i | 0.489982 | + | 1.34621i | ||||
\(807\) | −2.46551e10 | − | 2.82709e10i | −0.0581316 | − | 0.0666569i | ||||
\(808\) | 1.05858e11 | + | 6.00352e11i | 0.248359 | + | 1.40851i | ||||
\(809\) | 2.16664e11i | 0.505817i | 0.967490 | + | 0.252908i | \(0.0813871\pi\) | ||||
−0.967490 | + | 0.252908i | \(0.918613\pi\) | |||||||
\(810\) | −1.98528e11 | + | 1.94188e11i | −0.461192 | + | 0.451110i | ||||
\(811\) | −1.65427e11 | −0.382405 | −0.191203 | − | 0.981551i | \(-0.561239\pi\) | ||||
−0.191203 | + | 0.981551i | \(0.561239\pi\) | |||||||
\(812\) | −1.13001e11 | + | 1.99250e10i | −0.259930 | + | 0.0458327i | ||||
\(813\) | −6.07948e11 | + | 5.30192e11i | −1.39157 | + | 1.21359i | ||||
\(814\) | 1.22260e10 | − | 4.44989e9i | 0.0278475 | − | 0.0101357i | ||||
\(815\) | 1.90209e11 | − | 2.26682e11i | 0.431122 | − | 0.513791i | ||||
\(816\) | −2.48565e11 | + | 3.07959e11i | −0.560635 | + | 0.694597i | ||||
\(817\) | 1.48095e11 | + | 5.39023e10i | 0.332394 | + | 0.120981i | ||||
\(818\) | −7.92294e11 | + | 4.57431e11i | −1.76959 | + | 1.02167i | ||||
\(819\) | −3.31061e11 | − | 2.56950e11i | −0.735821 | − | 0.571102i | ||||
\(820\) | 3.84974e8 | − | 6.66795e8i | 0.000851483 | − | 0.00147481i | ||||
\(821\) | 3.93958e11 | + | 4.69501e11i | 0.867116 | + | 1.03339i | 0.999112 | + | 0.0421384i | \(0.0134170\pi\) |
−0.131996 | + | 0.991250i | \(0.542139\pi\) | |||||||
\(822\) | −3.16754e11 | + | 5.73603e11i | −0.693801 | + | 1.25639i | ||||
\(823\) | −3.55321e10 | + | 2.01513e11i | −0.0774501 | + | 0.439241i | 0.921282 | + | 0.388896i | \(0.127143\pi\) |
−0.998732 | + | 0.0503455i | \(0.983968\pi\) | |||||||
\(824\) | 3.20996e11 | + | 5.66002e10i | 0.696290 | + | 0.122775i | ||||
\(825\) | 1.70023e8 | + | 8.92212e9i | 0.000367022 | + | 0.0192598i | ||||
\(826\) | −4.19321e11 | + | 3.51852e11i | −0.900795 | + | 0.755857i | ||||
\(827\) | 3.20967e11 | + | 1.85311e11i | 0.686181 | + | 0.396167i | 0.802180 | − | 0.597083i | \(-0.203674\pi\) |
−0.115999 | + | 0.993249i | \(0.537007\pi\) | |||||||
\(828\) | 1.27330e11 | − | 8.01328e10i | 0.270901 | − | 0.170486i | ||||
\(829\) | 1.52445e10 | + | 2.64043e10i | 0.0322772 | + | 0.0559058i | 0.881713 | − | 0.471787i | \(-0.156391\pi\) |
−0.849436 | + | 0.527692i | \(0.823057\pi\) | |||||||
\(830\) | −4.09080e10 | + | 1.12394e11i | −0.0861977 | + | 0.236826i | ||||
\(831\) | 5.76585e11 | − | 2.22390e11i | 1.20909 | − | 0.466349i | ||||
\(832\) | 2.44565e11 | + | 2.05214e11i | 0.510388 | + | 0.428266i | ||||
\(833\) | −7.11196e10 | − | 1.95399e11i | −0.147710 | − | 0.405829i | ||||
\(834\) | 5.82287e10 | − | 1.69992e11i | 0.120357 | − | 0.351370i | ||||
\(835\) | 8.54745e10 | + | 4.84750e11i | 0.175829 | + | 0.997176i | ||||
\(836\) | 5.90681e9i | 0.0120928i | ||||||||
\(837\) | 3.32596e11 | + | 2.48134e11i | 0.677666 | + | 0.505574i | ||||
\(838\) | 1.71125e11 | 0.347007 | ||||||||
\(839\) | 8.55531e10 | − | 1.50853e10i | 0.172658 | − | 0.0304443i | −0.0866505 | − | 0.996239i | \(-0.527616\pi\) |
0.259309 | + | 0.965794i | \(0.416505\pi\) | |||||||
\(840\) | −2.57754e10 | − | 1.31479e11i | −0.0517711 | − | 0.264082i | ||||
\(841\) | 2.02859e11 | − | 7.38346e10i | 0.405518 | − | 0.147597i | ||||
\(842\) | −4.63439e11 | + | 5.52305e11i | −0.922028 | + | 1.09883i | ||||
\(843\) | −7.67746e11 | − | 1.20340e11i | −1.52022 | − | 0.238286i | ||||
\(844\) | 2.26050e11 | + | 8.22753e10i | 0.445486 | + | 0.162144i | ||||
\(845\) | 2.78235e11 | − | 1.60639e11i | 0.545738 | − | 0.315082i | ||||
\(846\) | 1.57292e11 | + | 5.05512e10i | 0.307062 | + | 0.0986847i | ||||
\(847\) | −1.63986e11 | + | 2.84031e11i | −0.318619 | + | 0.551865i | ||||
\(848\) | 3.13404e11 | + | 3.73501e11i | 0.606068 | + | 0.722284i | ||||
\(849\) | −4.12582e11 | − | 6.84168e11i | −0.794107 | − | 1.31684i | ||||
\(850\) | 5.28778e10 | − | 2.99885e11i | 0.101297 | − | 0.574485i | ||||
\(851\) | −4.37787e11 | − | 7.71936e10i | −0.834727 | − | 0.147185i | ||||
\(852\) | 1.31990e11 | − | 7.95955e10i | 0.250486 | − | 0.151053i | ||||
\(853\) | 5.31783e11 | − | 4.46219e11i | 1.00447 | − | 0.842853i | 0.0168750 | − | 0.999858i | \(-0.494628\pi\) |
0.987598 | + | 0.157005i | \(0.0501838\pi\) | |||||||
\(854\) | 1.92540e11 | + | 1.11163e11i | 0.361985 | + | 0.208992i | ||||
\(855\) | −1.13986e11 | + | 3.54674e11i | −0.213299 | + | 0.663689i | ||||
\(856\) | 1.69490e11 | + | 2.93565e11i | 0.315681 | + | 0.546775i | ||||
\(857\) | −1.56253e10 | + | 4.29300e10i | −0.0289670 | + | 0.0795862i | −0.953333 | − | 0.301920i | \(-0.902372\pi\) |
0.924366 | + | 0.381506i | \(0.124595\pi\) | |||||||
\(858\) | 3.96546e9 | − | 2.52990e10i | 0.00731719 | − | 0.0466824i | ||||
\(859\) | 7.59299e11 | + | 6.37127e11i | 1.39457 | + | 1.17018i | 0.963450 | + | 0.267887i | \(0.0863255\pi\) |
0.431119 | + | 0.902295i | \(0.358119\pi\) | |||||||
\(860\) | 1.01543e10 | + | 2.78988e10i | 0.0185634 | + | 0.0510025i | ||||
\(861\) | 3.04484e9 | − | 5.96917e8i | 0.00554054 | − | 0.00108618i | ||||
\(862\) | −1.52877e11 | − | 8.67008e11i | −0.276893 | − | 1.57034i | ||||
\(863\) | − | 2.70088e11i | − | 0.486926i | −0.969910 | − | 0.243463i | \(-0.921717\pi\) | ||
0.969910 | − | 0.243463i | \(-0.0782834\pi\) | |||||||
\(864\) | −3.67356e11 | − | 4.33159e10i | −0.659222 | − | 0.0777307i | ||||
\(865\) | −1.60608e11 | −0.286882 | ||||||||
\(866\) | 4.35020e11 | − | 7.67058e10i | 0.773460 | − | 0.136382i | ||||
\(867\) | −2.51303e11 | − | 8.60808e10i | −0.444755 | − | 0.152346i | ||||
\(868\) | 9.94880e10 | − | 3.62107e10i | 0.175264 | − | 0.0637907i | ||||
\(869\) | −1.02338e10 | + | 1.21962e10i | −0.0179456 | + | 0.0213867i | ||||
\(870\) | −1.59135e11 | − | 4.12585e11i | −0.277772 | − | 0.720173i | ||||
\(871\) | −8.07081e11 | − | 2.93753e11i | −1.40231 | − | 0.510399i | ||||
\(872\) | 2.04934e10 | − | 1.18318e10i | 0.0354444 | − | 0.0204638i | ||||
\(873\) | −2.69271e11 | − | 4.27869e11i | −0.463588 | − | 0.736637i | ||||
\(874\) | 3.92635e11 | − | 6.80065e11i | 0.672890 | − | 1.16548i | ||||
\(875\) | 2.25926e11 | + | 2.69248e11i | 0.385419 | + | 0.459325i | ||||
\(876\) | −3.78230e11 | + | 7.20768e9i | −0.642302 | + | 0.0122399i | ||||
\(877\) | 6.08459e10 | − | 3.45074e11i | 0.102857 | − | 0.583330i | −0.889198 | − | 0.457523i | \(-0.848737\pi\) |
0.992055 | − | 0.125807i | \(-0.0401521\pi\) | |||||||
\(878\) | −5.72086e11 | − | 1.00874e11i | −0.962683 | − | 0.169747i | ||||
\(879\) | 1.38951e11 | + | 7.67312e10i | 0.232758 | + | 0.128533i | ||||
\(880\) | 8.73588e9 | − | 7.33028e9i | 0.0145672 | − | 0.0122233i | ||||
\(881\) | 4.63683e11 | + | 2.67708e11i | 0.769694 | + | 0.444383i | 0.832765 | − | 0.553626i | \(-0.186756\pi\) |
−0.0630716 | + | 0.998009i | \(0.520090\pi\) | |||||||
\(882\) | 2.55393e11 | − | 3.29054e11i | 0.422022 | − | 0.543743i | ||||
\(883\) | −3.50386e10 | − | 6.06887e10i | −0.0576374 | − | 0.0998309i | 0.835767 | − | 0.549084i | \(-0.185023\pi\) |
−0.893404 | + | 0.449253i | \(0.851690\pi\) | |||||||
\(884\) | −7.68118e10 | + | 2.11039e11i | −0.125782 | + | 0.345583i | ||||
\(885\) | −4.21894e11 | − | 3.40527e11i | −0.687750 | − | 0.555109i | ||||
\(886\) | −2.16468e10 | − | 1.81638e10i | −0.0351284 | − | 0.0294762i | ||||
\(887\) | −2.07018e11 | − | 5.68777e11i | −0.334436 | − | 0.918856i | −0.986943 | − | 0.161073i | \(-0.948505\pi\) |
0.652506 | − | 0.757783i | \(-0.273718\pi\) | |||||||
\(888\) | 2.84075e11 | + | 3.25736e11i | 0.456857 | + | 0.523858i | ||||
\(889\) | 5.25232e10 | + | 2.97874e11i | 0.0840899 | + | 0.476898i | ||||
\(890\) | − | 5.84858e11i | − | 0.932161i | ||||||
\(891\) | −7.25129e9 | − | 1.60100e10i | −0.0115055 | − | 0.0254027i | ||||
\(892\) | 9.42136e10 | 0.148818 | ||||||||
\(893\) | 2.18266e11 | − | 3.84862e10i | 0.343226 | − | 0.0605200i | ||||
\(894\) | 7.59905e11 | − | 6.62714e11i | 1.18962 | − | 1.03747i | ||||
\(895\) | 2.46887e11 | − | 8.98594e10i | 0.384774 | − | 0.140046i | ||||
\(896\) | 3.15198e11 | − | 3.75638e11i | 0.489048 | − | 0.582825i | ||||
\(897\) | −5.49538e11 | + | 6.80849e11i | −0.848845 | + | 1.05167i | ||||
\(898\) | −5.87301e11 | − | 2.13760e11i | −0.903141 | − | 0.328716i | ||||
\(899\) | −5.72236e11 | + | 3.30380e11i | −0.876064 | + | 0.505796i | ||||
\(900\) | 1.45167e11 | − | 5.91924e10i | 0.221257 | − | 0.0902186i | ||||
\(901\) | 1.84429e11 | − | 3.19440e11i | 0.279853 | − | 0.484719i | ||||
\(902\) | 1.21871e8 | + | 1.45241e8i | 0.000184109 | + | 0.000219413i | ||||
\(903\) | −5.78370e10 | + | 1.04736e11i | −0.0869871 | + | 0.157523i | ||||
\(904\) | −9.51599e10 | + | 5.39679e11i | −0.142489 | + | 0.808094i | ||||
\(905\) | −8.90782e10 | − | 1.57069e10i | −0.132794 | − | 0.0234151i | ||||
\(906\) | −2.55335e10 | − | 1.33990e12i | −0.0378964 | − | 1.98865i | ||||
\(907\) | 3.57812e11 | − | 3.00240e11i | 0.528721 | − | 0.443649i | −0.338939 | − | 0.940808i | \(-0.610068\pi\) |
0.867659 | + | 0.497159i | \(0.165624\pi\) | |||||||
\(908\) | −1.85881e11 | − | 1.07318e11i | −0.273458 | − | 0.157881i | ||||
\(909\) | 1.13813e12 | + | 6.00486e11i | 1.66700 | + | 0.879524i | ||||
\(910\) | −2.06036e11 | − | 3.56864e11i | −0.300453 | − | 0.520401i | ||||
\(911\) | −3.31123e11 | + | 9.09752e11i | −0.480746 | + | 1.32084i | 0.428110 | + | 0.903727i | \(0.359180\pi\) |
−0.908855 | + | 0.417111i | \(0.863042\pi\) | |||||||
\(912\) | −9.92228e11 | + | 3.82704e11i | −1.43427 | + | 0.553202i | ||||
\(913\) | −5.79869e9 | − | 4.86568e9i | −0.00834539 | − | 0.00700261i | ||||
\(914\) | −4.00538e11 | − | 1.10047e12i | −0.573930 | − | 1.57686i | ||||
\(915\) | −7.13602e10 | + | 2.08328e11i | −0.101806 | + | 0.297209i | ||||
\(916\) | 5.02485e10 | + | 2.84973e11i | 0.0713741 | + | 0.404783i | ||||
\(917\) | 4.46451e11i | 0.631388i | ||||||||
\(918\) | 1.37718e11 | + | 5.83718e11i | 0.193918 | + | 0.821925i | ||||
\(919\) | 3.60571e11 | 0.505509 | 0.252755 | − | 0.967530i | \(-0.418663\pi\) | ||||
0.252755 | + | 0.967530i | \(0.418663\pi\) | |||||||
\(920\) | −2.75480e11 | + | 4.85745e10i | −0.384537 | + | 0.0678043i | ||||
\(921\) | 7.73232e10 | + | 3.94422e11i | 0.107466 | + | 0.548179i | ||||
\(922\) | 5.44086e11 | − | 1.98031e11i | 0.752911 | − | 0.274037i | ||||
\(923\) | −5.76188e11 | + | 6.86675e11i | −0.793885 | + | 0.946116i | ||||
\(924\) | −4.43015e9 | − | 6.94400e8i | −0.00607758 | − | 0.000952625i | ||||
\(925\) | −4.35290e11 | − | 1.58433e11i | −0.594582 | − | 0.216410i | ||||
\(926\) | −7.23198e11 | + | 4.17538e11i | −0.983588 | + | 0.567875i | ||||
\(927\) | 5.09835e11 | − | 4.62022e11i | 0.690416 | − | 0.625667i | ||||
\(928\) | 2.94506e11 | − | 5.10099e11i | 0.397102 | − | 0.687801i | ||||
\(929\) | 2.68522e11 | + | 3.20012e11i | 0.360509 | + | 0.429638i | 0.915562 | − | 0.402177i | \(-0.131746\pi\) |
−0.555053 | + | 0.831815i | \(0.687302\pi\) | |||||||
\(930\) | 2.10707e11 | + | 3.49407e11i | 0.281674 | + | 0.467090i | ||||
\(931\) | 9.70300e10 | − | 5.50285e11i | 0.129154 | − | 0.732468i | ||||
\(932\) | 3.14271e11 | + | 5.54144e10i | 0.416524 | + | 0.0734444i | ||||
\(933\) | −4.52707e11 | + | 2.73001e11i | −0.597435 | + | 0.360278i | ||||
\(934\) | −1.13897e12 | + | 9.55706e11i | −1.49666 | + | 1.25585i | ||||
\(935\) | −7.47145e9 | − | 4.31365e9i | −0.00977594 | − | 0.00564414i | ||||
\(936\) | 8.31520e11 | − | 1.79529e11i | 1.08335 | − | 0.233901i | ||||
\(937\) | −2.31539e11 | − | 4.01037e11i | −0.300376 | − | 0.520266i | 0.675845 | − | 0.737044i | \(-0.263779\pi\) |
−0.976221 | + | 0.216777i | \(0.930445\pi\) | |||||||
\(938\) | −2.00148e11 | + | 5.49903e11i | −0.258548 | + | 0.710354i | ||||
\(939\) | 1.05734e11 | − | 6.74567e11i | 0.136005 | − | 0.867687i | ||||
\(940\) | 3.19840e10 | + | 2.68377e10i | 0.0409658 | + | 0.0343744i | ||||
\(941\) | 3.23231e11 | + | 8.88071e11i | 0.412245 | + | 1.13263i | 0.955994 | + | 0.293386i | \(0.0947820\pi\) |
−0.543749 | + | 0.839248i | \(0.682996\pi\) | |||||||
\(942\) | −1.76072e12 | + | 3.45175e11i | −2.23608 | + | 0.438365i | ||||
\(943\) | −1.12491e9 | − | 6.37968e9i | −0.00142256 | − | 0.00806774i | ||||
\(944\) | − | 1.54772e12i | − | 1.94897i | ||||||
\(945\) | −2.52608e11 | − | 1.27186e11i | −0.316752 | − | 0.159482i | ||||
\(946\) | −7.31091e9 | −0.00912866 | ||||||||
\(947\) | 1.13441e11 | − | 2.00028e10i | 0.141049 | − | 0.0248708i | −0.102678 | − | 0.994715i | \(-0.532741\pi\) |
0.243727 | + | 0.969844i | \(0.421630\pi\) | |||||||
\(948\) | 2.64604e11 | + | 9.06370e10i | 0.327615 | + | 0.112220i | ||||
\(949\) | 2.06739e12 | − | 7.52470e11i | 2.54893 | − | 0.927736i | ||||
\(950\) | 5.25980e11 | − | 6.26838e11i | 0.645765 | − | 0.769593i | ||||
\(951\) | 1.48902e10 | + | 3.86054e10i | 0.0182045 | + | 0.0471983i | ||||
\(952\) | −2.71898e11 | − | 9.89628e10i | −0.331023 | − | 0.120483i | ||||
\(953\) | −7.23371e11 | + | 4.17638e11i | −0.876980 | + | 0.506324i | −0.869661 | − | 0.493649i | \(-0.835663\pi\) |
−0.00731829 | + | 0.999973i | \(0.502330\pi\) | |||||||
\(954\) | 7.38344e11 | − | 2.81505e10i | 0.891385 | − | 0.0339854i | ||||
\(955\) | 7.01552e10 | − | 1.21512e11i | 0.0843424 | − | 0.146085i | ||||
\(956\) | 1.29999e11 | + | 1.54927e11i | 0.155635 | + | 0.185479i | ||||
\(957\) | 2.79814e10 | − | 5.33224e8i | 0.0333597 | − | 0.000635714i | ||||
\(958\) | −4.76817e10 | + | 2.70416e11i | −0.0566096 | + | 0.321049i | ||||
\(959\) | −6.57171e11 | − | 1.15877e11i | −0.776969 | − | 0.137001i | ||||
\(960\) | 1.88608e11 | + | 1.04153e11i | 0.222062 | + | 0.122627i | ||||
\(961\) | −1.86313e11 | + | 1.56335e11i | −0.218448 | + | 0.183300i | ||||
\(962\) | 1.15120e12 | + | 6.64644e11i | 1.34415 | + | 0.776048i | ||||
\(963\) | 7.08897e11 | + | 9.73157e10i | 0.824286 | + | 0.113156i | ||||
\(964\) | 1.61116e11 | + | 2.79061e11i | 0.186565 | + | 0.323140i | ||||
\(965\) | 1.44207e11 | − | 3.96206e11i | 0.166295 | − | 0.456891i | ||||
\(966\) | 4.63896e11 | + | 3.74427e11i | 0.532736 | + | 0.429991i | ||||
\(967\) | −5.96657e11 | − | 5.00655e11i | −0.682369 | − | 0.572575i | 0.234329 | − | 0.972157i | \(-0.424711\pi\) |
−0.916697 | + | 0.399582i | \(0.869155\pi\) | |||||||
\(968\) | −2.27699e11 | − | 6.25598e11i | −0.259334 | − | 0.712514i | ||||
\(969\) | 5.28798e11 | + | 6.06350e11i | 0.599784 | + | 0.687746i | ||||
\(970\) | −8.63202e10 | − | 4.89546e11i | −0.0975046 | − | 0.552976i | ||||
\(971\) | − | 8.97129e11i | − | 1.00920i | −0.863353 | − | 0.504601i | \(-0.831640\pi\) | ||
0.863353 | − | 0.504601i | \(-0.168360\pi\) | |||||||
\(972\) | −2.16575e11 | + | 2.20070e11i | −0.242630 | + | 0.246545i | ||||
\(973\) | 1.82995e11 | 0.204168 | ||||||||
\(974\) | 1.83746e11 | − | 3.23993e10i | 0.204165 | − | 0.0359998i | ||||
\(975\) | −6.87136e11 | + | 5.99252e11i | −0.760368 | + | 0.663118i | ||||
\(976\) | −5.90715e11 | + | 2.15003e11i | −0.650997 | + | 0.236943i | ||||
\(977\) | −9.94842e10 | + | 1.18561e11i | −0.109188 | + | 0.130125i | −0.817871 | − | 0.575402i | \(-0.804846\pi\) |
0.708682 | + | 0.705528i | \(0.249290\pi\) | |||||||
\(978\) | 8.04018e11 | − | 9.96136e11i | 0.878841 | − | 1.08884i | ||||
\(979\) | 3.47821e10 | + | 1.26597e10i | 0.0378639 | + | 0.0137813i | ||||
\(980\) | 9.11612e10 | − | 5.26320e10i | 0.0988339 | − | 0.0570618i | ||||
\(981\) | 6.79348e9 | − | 4.94872e10i | 0.00733527 | − | 0.0534339i | ||||
\(982\) | −9.43301e11 | + | 1.63384e12i | −1.01439 | + | 1.75697i | ||||
\(983\) | 1.17650e11 | + | 1.40210e11i | 0.126002 | + | 0.150163i | 0.825357 | − | 0.564611i | \(-0.190974\pi\) |
−0.699355 | + | 0.714774i | \(0.746529\pi\) | |||||||
\(984\) | −3.04468e9 | + | 5.51355e9i | −0.00324759 | + | 0.00588100i | ||||
\(985\) | −1.34911e11 | + | 7.65118e11i | −0.143319 | + | 0.812800i | ||||
\(986\) | −9.40495e11 | − | 1.65835e11i | −0.995059 | − | 0.175456i | ||||
\(987\) | 3.20576e9 | + | 1.68226e11i | 0.00337803 | + | 0.177265i | ||||
\(988\) | −4.62305e11 | + | 3.87920e11i | −0.485177 | + | 0.407112i | ||||
\(989\) | 2.16329e11 | + | 1.24898e11i | 0.226115 | + | 0.130548i | ||||
\(990\) | −6.58418e8 | − | 1.72693e10i | −0.000685426 | − | 0.0179777i | ||||
\(991\) | 2.68198e11 | + | 4.64533e11i | 0.278075 | + | 0.481640i | 0.970906 | − | 0.239460i | \(-0.0769703\pi\) |
−0.692831 | + | 0.721100i | \(0.743637\pi\) | |||||||
\(992\) | −1.85880e11 | + | 5.10700e11i | −0.191949 | + | 0.527374i | ||||
\(993\) | −6.37014e11 | + | 2.45697e11i | −0.655167 | + | 0.252699i | ||||
\(994\) | 4.67865e11 | + | 3.92585e11i | 0.479264 | + | 0.402150i | ||||
\(995\) | −2.71997e10 | − | 7.47307e10i | −0.0277506 | − | 0.0762442i | ||||
\(996\) | −4.30935e10 | + | 1.25806e11i | −0.0437899 | + | 0.127840i | ||||
\(997\) | −1.28567e11 | − | 7.29138e11i | −0.130121 | − | 0.737953i | −0.978134 | − | 0.207977i | \(-0.933312\pi\) |
0.848013 | − | 0.529976i | \(-0.177799\pi\) | |||||||
\(998\) | − | 1.21778e12i | − | 1.22757i | ||||||
\(999\) | 9.10847e11 | − | 5.21228e10i | 0.914500 | − | 0.0523318i |
(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 | 27.9.f.a.14.6 | yes | 138 | |
3.2 | odd | 2 | 81.9.f.a.71.18 | 138 | |||
27.2 | odd | 18 | inner | 27.9.f.a.2.6 | ✓ | 138 | |
27.25 | even | 9 | 81.9.f.a.8.18 | 138 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.9.f.a.2.6 | ✓ | 138 | 27.2 | odd | 18 | inner | |
27.9.f.a.14.6 | yes | 138 | 1.1 | even | 1 | trivial | |
81.9.f.a.8.18 | 138 | 27.25 | even | 9 | |||
81.9.f.a.71.18 | 138 | 3.2 | odd | 2 |