Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), 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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.8.e.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −10.9550 | + | 13.7371i | −0.968294 | + | 1.21420i | 0.00848722 | + | 0.999964i | \(0.497298\pi\) |
−0.976781 | + | 0.214238i | \(0.931273\pi\) | |||||||
\(3\) | 47.1173 | + | 59.0832i | 1.00753 | + | 1.26340i | 0.964433 | + | 0.264326i | \(0.0851494\pi\) |
0.0430918 | + | 0.999071i | \(0.486279\pi\) | |||||||
\(4\) | −40.2142 | − | 176.190i | −0.314173 | − | 1.37648i | ||||
\(5\) | 310.040 | + | 149.307i | 1.10923 | + | 0.534179i | 0.896550 | − | 0.442942i | \(-0.146065\pi\) |
0.212683 | + | 0.977121i | \(0.431780\pi\) | |||||||
\(6\) | −1327.80 | −2.50960 | ||||||||
\(7\) | 256.844 | 0.283026 | 0.141513 | − | 0.989936i | \(-0.454803\pi\) | ||||
0.141513 | + | 0.989936i | \(0.454803\pi\) | |||||||
\(8\) | 834.593 | + | 401.919i | 0.576315 | + | 0.277539i | ||||
\(9\) | −784.134 | + | 3435.52i | −0.358543 | + | 1.57088i | ||||
\(10\) | −5447.55 | + | 2623.40i | −1.72267 | + | 0.829592i | ||||
\(11\) | −1402.96 | + | 6146.75i | −0.317812 | + | 1.39242i | 0.523570 | + | 0.851983i | \(0.324600\pi\) |
−0.841382 | + | 0.540441i | \(0.818257\pi\) | |||||||
\(12\) | 8515.08 | − | 10677.6i | 1.42251 | − | 1.78377i | ||||
\(13\) | 3460.82 | + | 1666.64i | 0.436895 | + | 0.210397i | 0.639385 | − | 0.768887i | \(-0.279189\pi\) |
−0.202490 | + | 0.979284i | \(0.564903\pi\) | |||||||
\(14\) | −2813.73 | + | 3528.31i | −0.274053 | + | 0.343651i | ||||
\(15\) | 5786.69 | + | 25353.1i | 0.442701 | + | 1.93960i | ||||
\(16\) | 6177.27 | − | 2974.82i | 0.377031 | − | 0.181568i | ||||
\(17\) | −13989.7 | + | 6737.08i | −0.690616 | + | 0.332583i | −0.746060 | − | 0.665879i | \(-0.768057\pi\) |
0.0554439 | + | 0.998462i | \(0.482343\pi\) | |||||||
\(18\) | −38604.0 | − | 48407.8i | −1.56019 | − | 1.95642i | ||||
\(19\) | −9139.84 | − | 40044.2i | −0.305704 | − | 1.33938i | −0.861373 | − | 0.507972i | \(-0.830395\pi\) |
0.555670 | − | 0.831403i | \(-0.312462\pi\) | |||||||
\(20\) | 13838.4 | − | 60630.2i | 0.386796 | − | 1.69466i | ||||
\(21\) | 12101.8 | + | 15175.2i | 0.285156 | + | 0.357575i | ||||
\(22\) | −69069.4 | − | 86610.3i | −1.38295 | − | 1.73416i | ||||
\(23\) | −4929.18 | + | 21596.2i | −0.0844748 | + | 0.370108i | −0.999441 | − | 0.0334213i | \(-0.989360\pi\) |
0.914967 | + | 0.403530i | \(0.132217\pi\) | |||||||
\(24\) | 15577.1 | + | 68247.8i | 0.230010 | + | 1.00774i | ||||
\(25\) | 25122.1 | + | 31502.1i | 0.321562 | + | 0.403226i | ||||
\(26\) | −60808.1 | + | 29283.6i | −0.678508 | + | 0.326752i | ||||
\(27\) | −91022.5 | + | 43834.1i | −0.889971 | + | 0.428587i | ||||
\(28\) | −10328.8 | − | 45253.4i | −0.0889193 | − | 0.389581i | ||||
\(29\) | 14207.6 | − | 17815.8i | 0.108175 | − | 0.135647i | −0.724796 | − | 0.688963i | \(-0.758066\pi\) |
0.832972 | + | 0.553316i | \(0.186638\pi\) | |||||||
\(30\) | −411673. | − | 198251.i | −2.78373 | − | 1.34058i | ||||
\(31\) | 129578. | − | 162486.i | 0.781208 | − | 0.979603i | −0.218785 | − | 0.975773i | \(-0.570209\pi\) |
0.999993 | − | 0.00383034i | \(-0.00121924\pi\) | |||||||
\(32\) | −53190.9 | + | 233044.i | −0.286954 | + | 1.25723i | ||||
\(33\) | −429273. | + | 206727.i | −2.07939 | + | 1.00138i | ||||
\(34\) | 60708.9 | − | 265983.i | 0.264896 | − | 1.16059i | ||||
\(35\) | 79632.1 | + | 38348.8i | 0.313942 | + | 0.151187i | ||||
\(36\) | 636836. | 2.27493 | ||||||||
\(37\) | 446988. | 1.45074 | 0.725371 | − | 0.688358i | \(-0.241668\pi\) | ||||
0.725371 | + | 0.688358i | \(0.241668\pi\) | |||||||
\(38\) | 650220. | + | 313129.i | 1.92228 | + | 0.925723i | ||||
\(39\) | 64593.8 | + | 283004.i | 0.174367 | + | 0.763952i | ||||
\(40\) | 198748. | + | 249222.i | 0.491012 | + | 0.615710i | ||||
\(41\) | 494591. | − | 620197.i | 1.12073 | − | 1.40536i | 0.217577 | − | 0.976043i | \(-0.430185\pi\) |
0.903156 | − | 0.429312i | \(-0.141244\pi\) | |||||||
\(42\) | −341039. | −0.710283 | ||||||||
\(43\) | −500870. | + | 144732.i | −0.960696 | + | 0.277604i | ||||
\(44\) | 1.13941e6 | 2.01649 | ||||||||
\(45\) | −756061. | + | 948071.i | −1.23684 | + | 1.55095i | ||||
\(46\) | −242670. | − | 304299.i | −0.367590 | − | 0.460943i | ||||
\(47\) | 213276. | + | 934423.i | 0.299640 | + | 1.31281i | 0.870666 | + | 0.491875i | \(0.163688\pi\) |
−0.571026 | + | 0.820932i | \(0.693455\pi\) | |||||||
\(48\) | 466818. | + | 224808.i | 0.609261 | + | 0.293405i | ||||
\(49\) | −757574. | −0.919896 | ||||||||
\(50\) | −707960. | −0.800965 | ||||||||
\(51\) | −1.05720e6 | − | 509123.i | −1.11600 | − | 0.537436i | ||||
\(52\) | 154471. | − | 676783.i | 0.152348 | − | 0.667479i | ||||
\(53\) | −1.00629e6 | + | 484602.i | −0.928445 | + | 0.447115i | −0.836079 | − | 0.548610i | \(-0.815157\pi\) |
−0.0923660 | + | 0.995725i | \(0.529443\pi\) | |||||||
\(54\) | 394996. | − | 1.73059e6i | 0.341362 | − | 1.49560i | ||||
\(55\) | −1.35273e6 | + | 1.69627e6i | −1.09633 | + | 1.37475i | ||||
\(56\) | 214361. | + | 103231.i | 0.163112 | + | 0.0785508i | ||||
\(57\) | 1.93530e6 | − | 2.42679e6i | 1.38416 | − | 1.73568i | ||||
\(58\) | 89093.3 | + | 390343.i | 0.0599580 | + | 0.262693i | ||||
\(59\) | 693387. | − | 333918.i | 0.439535 | − | 0.211669i | −0.201010 | − | 0.979589i | \(-0.564422\pi\) |
0.640546 | + | 0.767920i | \(0.278708\pi\) | |||||||
\(60\) | 4.23426e6 | − | 2.03911e6i | 2.53074 | − | 1.21874i | ||||
\(61\) | 386221. | + | 484306.i | 0.217862 | + | 0.273190i | 0.878738 | − | 0.477305i | \(-0.158386\pi\) |
−0.660876 | + | 0.750495i | \(0.729815\pi\) | |||||||
\(62\) | 812563. | + | 3.56007e6i | 0.432998 | + | 1.89709i | ||||
\(63\) | −201400. | + | 882393.i | −0.101477 | + | 0.444601i | ||||
\(64\) | −2.07148e6 | − | 2.59755e6i | −0.987759 | − | 1.23861i | ||||
\(65\) | 824150. | + | 1.03345e6i | 0.372228 | + | 0.466760i | ||||
\(66\) | 1.86285e6 | − | 8.16168e6i | 0.797580 | − | 3.49443i | ||||
\(67\) | 211568. | + | 926941.i | 0.0859387 | + | 0.376522i | 0.999548 | − | 0.0300718i | \(-0.00957359\pi\) |
−0.913609 | + | 0.406594i | \(0.866716\pi\) | |||||||
\(68\) | 1.74959e6 | + | 2.19391e6i | 0.674768 | + | 0.846132i | ||||
\(69\) | −1.50822e6 | + | 726321.i | −0.552704 | + | 0.266168i | ||||
\(70\) | −1.39917e6 | + | 673806.i | −0.487560 | + | 0.234796i | ||||
\(71\) | −900478. | − | 3.94525e6i | −0.298586 | − | 1.30819i | −0.872235 | − | 0.489088i | \(-0.837330\pi\) |
0.573649 | − | 0.819101i | \(-0.305527\pi\) | |||||||
\(72\) | −2.03523e6 | + | 2.55210e6i | −0.642614 | + | 0.805812i | ||||
\(73\) | −3.86179e6 | − | 1.85974e6i | −1.16187 | − | 0.559529i | −0.249294 | − | 0.968428i | \(-0.580198\pi\) |
−0.912580 | + | 0.408899i | \(0.865913\pi\) | |||||||
\(74\) | −4.89676e6 | + | 6.14034e6i | −1.40475 | + | 1.76149i | ||||
\(75\) | −677560. | + | 2.96858e6i | −0.185453 | + | 0.812521i | ||||
\(76\) | −6.68783e6 | + | 3.22069e6i | −1.74758 | + | 0.841592i | ||||
\(77\) | −360342. | + | 1.57876e6i | −0.0899491 | + | 0.394093i | ||||
\(78\) | −4.59529e6 | − | 2.21297e6i | −1.09643 | − | 0.528013i | ||||
\(79\) | 7.66490e6 | 1.74909 | 0.874544 | − | 0.484947i | \(-0.161161\pi\) | ||||
0.874544 | + | 0.484947i | \(0.161161\pi\) | |||||||
\(80\) | 2.35937e6 | 0.515205 | ||||||||
\(81\) | 64896.6 | + | 31252.6i | 0.0135683 | + | 0.00653414i | ||||
\(82\) | 3.10149e6 | + | 1.35885e7i | 0.621186 | + | 2.72159i | ||||
\(83\) | −3.43996e6 | − | 4.31357e6i | −0.660359 | − | 0.828064i | 0.333023 | − | 0.942919i | \(-0.391931\pi\) |
−0.993382 | + | 0.114855i | \(0.963360\pi\) | |||||||
\(84\) | 2.18705e6 | − | 2.74247e6i | 0.402607 | − | 0.504853i | ||||
\(85\) | −5.34326e6 | −0.943714 | ||||||||
\(86\) | 3.49883e6 | − | 8.46606e6i | 0.593169 | − | 1.43528i | ||||
\(87\) | 1.72204e6 | 0.280366 | ||||||||
\(88\) | −3.64139e6 | + | 4.56616e6i | −0.569611 | + | 0.714269i | ||||
\(89\) | 6.88405e6 | + | 8.63233e6i | 1.03509 | + | 1.29796i | 0.953531 | + | 0.301296i | \(0.0974193\pi\) |
0.0815615 | + | 0.996668i | \(0.474009\pi\) | |||||||
\(90\) | −4.74113e6 | − | 2.07722e7i | −0.685540 | − | 3.00355i | ||||
\(91\) | 888891. | + | 428068.i | 0.123653 | + | 0.0595480i | ||||
\(92\) | 4.00324e6 | 0.535988 | ||||||||
\(93\) | 1.57056e7 | 2.02471 | ||||||||
\(94\) | −1.51727e7 | − | 7.30680e6i | −1.88415 | − | 0.907360i | ||||
\(95\) | 3.14519e6 | − | 1.37800e7i | 0.376369 | − | 1.64898i | ||||
\(96\) | −1.62752e7 | + | 7.83773e6i | −1.87749 | + | 0.904151i | ||||
\(97\) | −3.38203e6 | + | 1.48177e7i | −0.376250 | + | 1.64846i | 0.332576 | + | 0.943077i | \(0.392082\pi\) |
−0.708826 | + | 0.705383i | \(0.750775\pi\) | |||||||
\(98\) | 8.29922e6 | − | 1.04069e7i | 0.890730 | − | 1.11694i | ||||
\(99\) | −2.00172e7 | − | 9.63976e6i | −2.07338 | − | 0.998488i | ||||
\(100\) | 4.54008e6 | − | 5.69308e6i | 0.454008 | − | 0.569308i | ||||
\(101\) | 2.48552e6 | + | 1.08898e7i | 0.240045 | + | 1.05171i | 0.940975 | + | 0.338476i | \(0.109911\pi\) |
−0.700930 | + | 0.713230i | \(0.747231\pi\) | |||||||
\(102\) | 1.85756e7 | − | 8.94552e6i | 1.73317 | − | 0.834651i | ||||
\(103\) | 2.33049e6 | − | 1.12230e6i | 0.210144 | − | 0.101200i | −0.325851 | − | 0.945421i | \(-0.605651\pi\) |
0.535995 | + | 0.844221i | \(0.319937\pi\) | |||||||
\(104\) | 2.21852e6 | + | 2.78193e6i | 0.193396 | + | 0.242510i | ||||
\(105\) | 1.48628e6 | + | 6.51181e6i | 0.125296 | + | 0.548958i | ||||
\(106\) | 4.36682e6 | − | 1.91323e7i | 0.356119 | − | 1.56026i | ||||
\(107\) | −493183. | − | 618432.i | −0.0389193 | − | 0.0488033i | 0.761991 | − | 0.647588i | \(-0.224222\pi\) |
−0.800910 | + | 0.598784i | \(0.795651\pi\) | |||||||
\(108\) | 1.13835e7 | + | 1.42745e7i | 0.869548 | + | 1.09038i | ||||
\(109\) | −3.39331e6 | + | 1.48671e7i | −0.250975 | + | 1.09959i | 0.679626 | + | 0.733559i | \(0.262142\pi\) |
−0.930601 | + | 0.366036i | \(0.880715\pi\) | |||||||
\(110\) | −8.48272e6 | − | 3.71652e7i | −0.607660 | − | 2.66233i | ||||
\(111\) | 2.10609e7 | + | 2.64095e7i | 1.46166 | + | 1.83286i | ||||
\(112\) | 1.58660e6 | − | 764065.i | 0.106710 | − | 0.0513887i | ||||
\(113\) | 2.04499e7 | − | 9.84814e6i | 1.33326 | − | 0.642066i | 0.374753 | − | 0.927124i | \(-0.377727\pi\) |
0.958510 | + | 0.285059i | \(0.0920131\pi\) | |||||||
\(114\) | 1.21359e7 | + | 5.31709e7i | 0.767194 | + | 3.36130i | ||||
\(115\) | −4.75271e6 | + | 5.95971e6i | −0.291406 | + | 0.365412i | ||||
\(116\) | −3.71030e6 | − | 1.78679e6i | −0.220702 | − | 0.106284i | ||||
\(117\) | −8.43952e6 | + | 1.05828e7i | −0.487155 | + | 0.610873i | ||||
\(118\) | −3.00898e6 | + | 1.31832e7i | −0.168590 | + | 0.738643i | ||||
\(119\) | −3.59317e6 | + | 1.73038e6i | −0.195463 | + | 0.0941299i | ||||
\(120\) | −5.36037e6 | + | 2.34853e7i | −0.283179 | + | 1.24069i | ||||
\(121\) | −1.82570e7 | − | 8.79209e6i | −0.936870 | − | 0.451173i | ||||
\(122\) | −1.08840e7 | −0.542663 | ||||||||
\(123\) | 5.99470e7 | 2.90469 | ||||||||
\(124\) | −3.38393e7 | − | 1.62961e7i | −1.59384 | − | 0.767554i | ||||
\(125\) | −2.89696e6 | − | 1.26924e7i | −0.132665 | − | 0.581245i | ||||
\(126\) | −9.91521e6 | − | 1.24333e7i | −0.441576 | − | 0.553718i | ||||
\(127\) | 6.59493e6 | − | 8.26978e6i | 0.285691 | − | 0.358246i | −0.618190 | − | 0.786029i | \(-0.712134\pi\) |
0.903881 | + | 0.427783i | \(0.140705\pi\) | |||||||
\(128\) | 2.77792e7 | 1.17081 | ||||||||
\(129\) | −3.21509e7 | − | 2.27736e7i | −1.31865 | − | 0.934047i | ||||
\(130\) | −2.32252e7 | −0.927168 | ||||||||
\(131\) | −2.34077e6 | + | 2.93524e6i | −0.0909724 | + | 0.114076i | −0.825234 | − | 0.564790i | \(-0.808957\pi\) |
0.734262 | + | 0.678866i | \(0.237528\pi\) | |||||||
\(132\) | 5.36861e7 | + | 6.73202e7i | 2.03167 | + | 2.54763i | ||||
\(133\) | −2.34752e6 | − | 1.02851e7i | −0.0865223 | − | 0.379079i | ||||
\(134\) | −1.50512e7 | − | 7.24830e6i | −0.540388 | − | 0.260237i | ||||
\(135\) | −3.47654e7 | −1.21613 | ||||||||
\(136\) | −1.43835e7 | −0.490317 | ||||||||
\(137\) | 7.67328e6 | + | 3.69525e6i | 0.254952 | + | 0.122779i | 0.556995 | − | 0.830516i | \(-0.311954\pi\) |
−0.302043 | + | 0.953294i | \(0.597669\pi\) | |||||||
\(138\) | 6.54499e6 | − | 2.86755e7i | 0.211998 | − | 0.928824i | ||||
\(139\) | 2.21033e7 | − | 1.06444e7i | 0.698081 | − | 0.336178i | −0.0509612 | − | 0.998701i | \(-0.516228\pi\) |
0.749042 | + | 0.662523i | \(0.230514\pi\) | |||||||
\(140\) | 3.55433e6 | − | 1.55725e7i | 0.109474 | − | 0.479635i | ||||
\(141\) | −4.51597e7 | + | 5.66285e7i | −1.35670 | + | 1.70125i | ||||
\(142\) | 6.40612e7 | + | 3.08502e7i | 1.87753 | + | 0.904168i | ||||
\(143\) | −1.50998e7 | + | 1.89346e7i | −0.431813 | + | 0.541476i | ||||
\(144\) | 5.37622e6 | + | 2.35548e7i | 0.150041 | + | 0.657370i | ||||
\(145\) | 7.06495e6 | − | 3.40230e6i | 0.192451 | − | 0.0926798i | ||||
\(146\) | 6.78534e7 | − | 3.26765e7i | 1.80442 | − | 0.868961i | ||||
\(147\) | −3.56948e7 | − | 4.47599e7i | −0.926819 | − | 1.16219i | ||||
\(148\) | −1.79753e7 | − | 7.87548e7i | −0.455784 | − | 1.99692i | ||||
\(149\) | −6.95222e6 | + | 3.04597e7i | −0.172176 | + | 0.754350i | 0.812925 | + | 0.582369i | \(0.197874\pi\) |
−0.985100 | + | 0.171981i | \(0.944983\pi\) | |||||||
\(150\) | −3.33572e7 | − | 4.18286e7i | −0.806993 | − | 1.01194i | ||||
\(151\) | −3.02441e7 | − | 3.79250e7i | −0.714862 | − | 0.896408i | 0.283173 | − | 0.959069i | \(-0.408613\pi\) |
−0.998035 | + | 0.0626605i | \(0.980041\pi\) | |||||||
\(152\) | 8.46649e6 | − | 3.70941e7i | 0.195547 | − | 0.856747i | ||||
\(153\) | −1.21755e7 | − | 5.33446e7i | −0.274833 | − | 1.20412i | ||||
\(154\) | −1.77401e7 | − | 2.22454e7i | −0.391411 | − | 0.490814i | ||||
\(155\) | 6.44349e7 | − | 3.10302e7i | 1.38982 | − | 0.669304i | ||||
\(156\) | 4.72648e7 | − | 2.27615e7i | 0.996785 | − | 0.480027i | ||||
\(157\) | 4.75302e6 | + | 2.08243e7i | 0.0980213 | + | 0.429459i | 0.999997 | − | 0.00232679i | \(-0.000740640\pi\) |
−0.901976 | + | 0.431786i | \(0.857883\pi\) | |||||||
\(158\) | −8.39689e7 | + | 1.05294e8i | −1.69363 | + | 2.12375i | ||||
\(159\) | −7.60453e7 | − | 3.66215e7i | −1.50032 | − | 0.722514i | ||||
\(160\) | −5.12866e7 | + | 6.43113e7i | −0.989883 | + | 1.24127i | ||||
\(161\) | −1.26603e6 | + | 5.54685e6i | −0.0239086 | + | 0.104750i | ||||
\(162\) | −1.14026e6 | + | 549122.i | −0.0210718 | + | 0.0101477i | ||||
\(163\) | −3.44106e6 | + | 1.50763e7i | −0.0622351 | + | 0.272670i | −0.996466 | − | 0.0839995i | \(-0.973231\pi\) |
0.934231 | + | 0.356669i | \(0.116088\pi\) | |||||||
\(164\) | −1.29162e8 | − | 6.22011e7i | −2.28655 | − | 1.10114i | ||||
\(165\) | −1.63958e8 | −2.84144 | ||||||||
\(166\) | 9.69409e7 | 1.64486 | ||||||||
\(167\) | 2.53111e7 | + | 1.21892e7i | 0.420536 | + | 0.202519i | 0.632170 | − | 0.774829i | \(-0.282164\pi\) |
−0.211634 | + | 0.977349i | \(0.567879\pi\) | |||||||
\(168\) | 4.00089e6 | + | 1.75291e7i | 0.0650990 | + | 0.285217i | ||||
\(169\) | −2.99235e7 | − | 3.75229e7i | −0.476880 | − | 0.597988i | ||||
\(170\) | 5.85354e7 | − | 7.34011e7i | 0.913792 | − | 1.14586i | ||||
\(171\) | 1.44739e8 | 2.21361 | ||||||||
\(172\) | 4.56424e7 | + | 8.24280e7i | 0.683942 | + | 1.23516i | ||||
\(173\) | 4.80780e7 | 0.705969 | 0.352984 | − | 0.935629i | \(-0.385167\pi\) | ||||
0.352984 | + | 0.935629i | \(0.385167\pi\) | |||||||
\(174\) | −1.88649e7 | + | 2.36558e7i | −0.271476 | + | 0.340421i | ||||
\(175\) | 6.45246e6 | + | 8.09113e6i | 0.0910106 | + | 0.114124i | ||||
\(176\) | 9.61903e6 | + | 4.21437e7i | 0.132995 | + | 0.582691i | ||||
\(177\) | 5.23995e7 | + | 2.52343e7i | 0.710265 | + | 0.342046i | ||||
\(178\) | −1.93998e8 | −2.57827 | ||||||||
\(179\) | −5.17000e6 | −0.0673759 | −0.0336880 | − | 0.999432i | \(-0.510725\pi\) | ||||
−0.0336880 | + | 0.999432i | \(0.510725\pi\) | |||||||
\(180\) | 1.97445e8 | + | 9.50844e7i | 2.52343 | + | 1.21522i | ||||
\(181\) | −8.12507e6 | + | 3.55982e7i | −0.101848 | + | 0.446225i | 0.898131 | + | 0.439728i | \(0.144925\pi\) |
−0.999979 | + | 0.00649675i | \(0.997932\pi\) | |||||||
\(182\) | −1.56182e7 | + | 7.52134e6i | −0.192036 | + | 0.0924795i | ||||
\(183\) | −1.04167e7 | + | 4.56384e7i | −0.125646 | + | 0.550492i | ||||
\(184\) | −1.27938e7 | + | 1.60429e7i | −0.151403 | + | 0.189854i | ||||
\(185\) | 1.38584e8 | + | 6.67387e7i | 1.60921 | + | 0.774956i | ||||
\(186\) | −1.72055e8 | + | 2.15750e8i | −1.96052 | + | 2.45841i | ||||
\(187\) | −2.17842e7 | − | 9.54430e7i | −0.243611 | − | 1.06733i | ||||
\(188\) | 1.56059e8 | − | 7.51540e7i | 1.71292 | − | 0.824897i | ||||
\(189\) | −2.33786e7 | + | 1.12586e7i | −0.251885 | + | 0.121302i | ||||
\(190\) | 1.54842e8 | + | 1.94165e8i | 1.63776 | + | 2.05369i | ||||
\(191\) | −7.37905e6 | − | 3.23297e7i | −0.0766273 | − | 0.335726i | 0.922054 | − | 0.387061i | \(-0.126510\pi\) |
−0.998682 | + | 0.0513347i | \(0.983652\pi\) | |||||||
\(192\) | 5.58693e7 | − | 2.44779e8i | 0.569664 | − | 2.49586i | ||||
\(193\) | −4.96717e7 | − | 6.22863e7i | −0.497346 | − | 0.623652i | 0.468283 | − | 0.883579i | \(-0.344873\pi\) |
−0.965628 | + | 0.259927i | \(0.916301\pi\) | |||||||
\(194\) | −1.66502e8 | − | 2.08787e8i | −1.63724 | − | 2.05304i | ||||
\(195\) | −2.22279e7 | + | 9.73869e7i | −0.214673 | + | 0.940545i | ||||
\(196\) | 3.04652e7 | + | 1.33477e8i | 0.289007 | + | 1.26622i | ||||
\(197\) | 2.28873e7 | + | 2.86998e7i | 0.213287 | + | 0.267453i | 0.876953 | − | 0.480575i | \(-0.159572\pi\) |
−0.663667 | + | 0.748028i | \(0.731001\pi\) | |||||||
\(198\) | 3.51711e8 | − | 1.69375e8i | 3.22001 | − | 1.55068i | ||||
\(199\) | −7.85962e7 | + | 3.78499e7i | −0.706994 | + | 0.340470i | −0.752590 | − | 0.658490i | \(-0.771196\pi\) |
0.0455958 | + | 0.998960i | \(0.485481\pi\) | |||||||
\(200\) | 8.30542e6 | + | 3.63884e7i | 0.0734102 | + | 0.321631i | ||||
\(201\) | −4.47981e7 | + | 5.61751e7i | −0.389111 | + | 0.487930i | ||||
\(202\) | −1.76823e8 | − | 8.51536e7i | −1.50942 | − | 0.726898i | ||||
\(203\) | 3.64914e6 | − | 4.57588e6i | 0.0306164 | − | 0.0383918i | ||||
\(204\) | −4.71876e7 | + | 2.06743e8i | −0.389155 | + | 1.70500i | ||||
\(205\) | 2.45943e8 | − | 1.18440e8i | 1.99387 | − | 0.960195i | ||||
\(206\) | −1.01132e7 | + | 4.43090e7i | −0.0806038 | + | 0.353148i | ||||
\(207\) | −7.03288e7 | − | 3.38686e7i | −0.551108 | − | 0.265400i | ||||
\(208\) | 2.63364e7 | 0.202924 | ||||||||
\(209\) | 2.58965e8 | 1.96213 | ||||||||
\(210\) | −1.05736e8 | − | 5.09197e7i | −0.787870 | − | 0.379418i | ||||
\(211\) | 1.82677e6 | + | 8.00360e6i | 0.0133874 | + | 0.0586539i | 0.981180 | − | 0.193093i | \(-0.0618520\pi\) |
−0.967793 | + | 0.251747i | \(0.918995\pi\) | |||||||
\(212\) | 1.25849e8 | + | 1.57809e8i | 0.907139 | + | 1.13752i | ||||
\(213\) | 1.90670e8 | − | 2.39093e8i | 1.35193 | − | 1.69527i | ||||
\(214\) | 1.38983e7 | 0.0969424 | ||||||||
\(215\) | −1.76900e8 | − | 2.99109e7i | −1.21393 | − | 0.205256i | ||||
\(216\) | −9.35845e7 | −0.631853 | ||||||||
\(217\) | 3.32815e7 | − | 4.17337e7i | 0.221102 | − | 0.277254i | ||||
\(218\) | −1.67057e8 | − | 2.09483e8i | −1.09211 | − | 1.36947i | ||||
\(219\) | −7.20777e7 | − | 3.15793e8i | −0.463710 | − | 2.03165i | ||||
\(220\) | 3.53264e8 | + | 1.70123e8i | 2.23676 | + | 1.07717i | ||||
\(221\) | −5.96440e7 | −0.371701 | ||||||||
\(222\) | −5.93513e8 | −3.64078 | ||||||||
\(223\) | 2.14054e8 | + | 1.03083e8i | 1.29257 | + | 0.622471i | 0.948591 | − | 0.316504i | \(-0.102509\pi\) |
0.343984 | + | 0.938976i | \(0.388224\pi\) | |||||||
\(224\) | −1.36618e7 | + | 5.98561e7i | −0.0812155 | + | 0.355828i | ||||
\(225\) | −1.27925e8 | + | 6.16054e7i | −0.748714 | + | 0.360562i | ||||
\(226\) | −8.87431e7 | + | 3.88809e8i | −0.511393 | + | 2.24056i | ||||
\(227\) | 3.73396e7 | − | 4.68223e7i | 0.211875 | − | 0.265682i | −0.664526 | − | 0.747265i | \(-0.731367\pi\) |
0.876401 | + | 0.481583i | \(0.159938\pi\) | |||||||
\(228\) | −5.05401e8 | − | 2.43388e8i | −2.82400 | − | 1.35997i | ||||
\(229\) | 1.31020e8 | − | 1.64294e8i | 0.720963 | − | 0.904060i | −0.277429 | − | 0.960746i | \(-0.589482\pi\) |
0.998392 | + | 0.0566867i | \(0.0180536\pi\) | |||||||
\(230\) | −2.98034e7 | − | 1.30577e8i | −0.161517 | − | 0.707653i | ||||
\(231\) | −1.10257e8 | + | 5.30967e7i | −0.588521 | + | 0.283417i | ||||
\(232\) | 1.90181e7 | − | 9.15861e6i | 0.0999903 | − | 0.0481528i | ||||
\(233\) | −8.99594e7 | − | 1.12806e8i | −0.465909 | − | 0.584231i | 0.492255 | − | 0.870451i | \(-0.336173\pi\) |
−0.958164 | + | 0.286220i | \(0.907601\pi\) | |||||||
\(234\) | −5.29227e7 | − | 2.31870e8i | −0.270014 | − | 1.18301i | ||||
\(235\) | −7.33922e7 | + | 3.21552e8i | −0.368903 | + | 1.61627i | ||||
\(236\) | −8.67169e7 | − | 1.08740e8i | −0.429449 | − | 0.538512i | ||||
\(237\) | 3.61149e8 | + | 4.52867e8i | 1.76225 | + | 2.20979i | ||||
\(238\) | 1.55927e7 | − | 6.83162e7i | 0.0749726 | − | 0.328477i | ||||
\(239\) | 2.31598e7 | + | 1.01470e8i | 0.109734 | + | 0.480776i | 0.999694 | + | 0.0247377i | \(0.00787504\pi\) |
−0.889960 | + | 0.456039i | \(0.849268\pi\) | |||||||
\(240\) | 1.11167e8 | + | 1.39399e8i | 0.519082 | + | 0.650909i | ||||
\(241\) | 2.04775e8 | − | 9.86146e7i | 0.942363 | − | 0.453818i | 0.101361 | − | 0.994850i | \(-0.467680\pi\) |
0.841002 | + | 0.541032i | \(0.181966\pi\) | |||||||
\(242\) | 3.20783e8 | − | 1.54481e8i | 1.45498 | − | 0.700682i | ||||
\(243\) | 5.03766e7 | + | 2.20714e8i | 0.225220 | + | 0.986752i | ||||
\(244\) | 6.97982e7 | − | 8.75241e7i | 0.307595 | − | 0.385712i | ||||
\(245\) | −2.34878e8 | − | 1.13111e8i | −1.02038 | − | 0.491389i | ||||
\(246\) | −6.56719e8 | + | 8.23500e8i | −2.81259 | + | 3.52688i | ||||
\(247\) | 3.51081e7 | − | 1.53819e8i | 0.148241 | − | 0.649486i | ||||
\(248\) | 1.73451e8 | − | 8.35298e7i | 0.722099 | − | 0.347745i | ||||
\(249\) | 9.27782e7 | − | 4.06488e8i | 0.380845 | − | 1.66859i | ||||
\(250\) | 2.06094e8 | + | 9.92494e7i | 0.834208 | + | 0.401733i | ||||
\(251\) | −2.78225e8 | −1.11055 | −0.555275 | − | 0.831667i | \(-0.687387\pi\) | ||||
−0.555275 | + | 0.831667i | \(0.687387\pi\) | |||||||
\(252\) | 1.63568e8 | 0.643867 | ||||||||
\(253\) | −1.25831e8 | − | 6.05969e7i | −0.488501 | − | 0.235250i | ||||
\(254\) | 4.13556e7 | + | 1.81191e8i | 0.158349 | + | 0.693774i | ||||
\(255\) | −2.51760e8 | − | 3.15697e8i | −0.950815 | − | 1.19228i | ||||
\(256\) | −3.91717e7 | + | 4.91198e7i | −0.145926 | + | 0.182985i | ||||
\(257\) | 1.95245e8 | 0.717486 | 0.358743 | − | 0.933436i | \(-0.383205\pi\) | ||||
0.358743 | + | 0.933436i | \(0.383205\pi\) | |||||||
\(258\) | 6.65058e8 | − | 1.92176e8i | 2.41096 | − | 0.696675i | ||||
\(259\) | 1.14806e8 | 0.410598 | ||||||||
\(260\) | 1.48941e8 | − | 1.86766e8i | 0.525542 | − | 0.659009i | ||||
\(261\) | 5.00657e7 | + | 6.27804e7i | 0.174300 | + | 0.218566i | ||||
\(262\) | −1.46786e7 | − | 6.43110e7i | −0.0504231 | − | 0.220918i | ||||
\(263\) | −3.80514e8 | − | 1.83246e8i | −1.28981 | − | 0.621139i | −0.341916 | − | 0.939731i | \(-0.611076\pi\) |
−0.947892 | + | 0.318592i | \(0.896790\pi\) | |||||||
\(264\) | −4.41356e8 | −1.47630 | ||||||||
\(265\) | −3.84344e8 | −1.26870 | ||||||||
\(266\) | 1.67005e8 | + | 8.04255e7i | 0.544057 | + | 0.262004i | ||||
\(267\) | −1.85668e8 | + | 8.13464e8i | −0.596963 | + | 2.61546i | ||||
\(268\) | 1.54809e8 | − | 7.45523e7i | 0.491276 | − | 0.236586i | ||||
\(269\) | 4.12149e7 | − | 1.80574e8i | 0.129098 | − | 0.565617i | −0.868459 | − | 0.495762i | \(-0.834889\pi\) |
0.997557 | − | 0.0698558i | \(-0.0222539\pi\) | |||||||
\(270\) | 3.80855e8 | − | 4.77577e8i | 1.17757 | − | 1.47662i | ||||
\(271\) | −2.79382e8 | − | 1.34543e8i | −0.852719 | − | 0.410648i | −0.0441332 | − | 0.999026i | \(-0.514053\pi\) |
−0.808586 | + | 0.588378i | \(0.799767\pi\) | |||||||
\(272\) | −6.63765e7 | + | 8.32335e7i | −0.199997 | + | 0.250788i | ||||
\(273\) | 1.65906e7 | + | 7.26880e7i | 0.0493505 | + | 0.216219i | ||||
\(274\) | −1.34823e8 | + | 6.49273e7i | −0.395947 | + | 0.190678i | ||||
\(275\) | −2.28880e8 | + | 1.10223e8i | −0.663658 | + | 0.319601i | ||||
\(276\) | 1.88622e8 | + | 2.36525e8i | 0.540021 | + | 0.677165i | ||||
\(277\) | 1.25167e8 | + | 5.48391e8i | 0.353842 | + | 1.55028i | 0.768224 | + | 0.640181i | \(0.221140\pi\) |
−0.414382 | + | 0.910103i | \(0.636002\pi\) | |||||||
\(278\) | −9.59183e7 | + | 4.20245e8i | −0.267759 | + | 1.17313i | ||||
\(279\) | 4.56617e8 | + | 5.72579e8i | 1.25874 | + | 1.57841i | ||||
\(280\) | 5.10473e7 | + | 6.40113e7i | 0.138970 | + | 0.174262i | ||||
\(281\) | 1.11100e8 | − | 4.86762e8i | 0.298705 | − | 1.30871i | −0.573352 | − | 0.819309i | \(-0.694357\pi\) |
0.872057 | − | 0.489404i | \(-0.162786\pi\) | |||||||
\(282\) | −2.83189e8 | − | 1.24073e9i | −0.751976 | − | 3.29462i | ||||
\(283\) | −3.88386e8 | − | 4.87020e8i | −1.01862 | − | 1.27731i | −0.960289 | − | 0.279008i | \(-0.909995\pi\) |
−0.0583279 | − | 0.998297i | \(-0.518577\pi\) | |||||||
\(284\) | −6.58901e8 | + | 3.17310e8i | −1.70689 | + | 0.821996i | ||||
\(285\) | 9.62358e8 | − | 4.63447e8i | 2.46252 | − | 1.18589i | ||||
\(286\) | −9.46882e7 | − | 4.14856e8i | −0.239340 | − | 1.04862i | ||||
\(287\) | 1.27033e8 | − | 1.59294e8i | 0.317197 | − | 0.397753i | ||||
\(288\) | −7.58919e8 | − | 3.65476e8i | −1.87207 | − | 0.901540i | ||||
\(289\) | −1.05519e8 | + | 1.32316e8i | −0.257151 | + | 0.322457i | ||||
\(290\) | −3.06587e7 | + | 1.34324e8i | −0.0738177 | + | 0.323416i | ||||
\(291\) | −1.03483e9 | + | 4.98346e8i | −2.46174 | + | 1.18551i | ||||
\(292\) | −1.72369e8 | + | 7.55196e8i | −0.405152 | + | 1.77509i | ||||
\(293\) | 2.65478e8 | + | 1.27848e8i | 0.616584 | + | 0.296931i | 0.715984 | − | 0.698116i | \(-0.245978\pi\) |
−0.0994004 | + | 0.995048i | \(0.531692\pi\) | |||||||
\(294\) | 1.00591e9 | 2.30857 | ||||||||
\(295\) | 2.64834e8 | 0.600617 | ||||||||
\(296\) | 3.73053e8 | + | 1.79653e8i | 0.836084 | + | 0.402637i | ||||
\(297\) | −1.41737e8 | − | 6.20990e8i | −0.313932 | − | 1.37543i | ||||
\(298\) | −3.42267e8 | − | 4.29189e8i | −0.749217 | − | 0.939489i | ||||
\(299\) | −5.30520e7 | + | 6.65252e7i | −0.114777 | + | 0.143925i | ||||
\(300\) | 5.50281e8 | 1.17669 | ||||||||
\(301\) | −1.28646e8 | + | 3.71737e7i | −0.271902 | + | 0.0785692i | ||||
\(302\) | 8.52305e8 | 1.78062 | ||||||||
\(303\) | −5.26293e8 | + | 6.59950e8i | −1.08687 | + | 1.36289i | ||||
\(304\) | −1.75584e8 | − | 2.20175e8i | −0.358448 | − | 0.449480i | ||||
\(305\) | 4.74336e7 | + | 2.07820e8i | 0.0957274 | + | 0.419409i | ||||
\(306\) | 8.66185e8 | + | 4.17132e8i | 1.72817 | + | 0.832241i | ||||
\(307\) | 4.59149e8 | 0.905669 | 0.452834 | − | 0.891595i | \(-0.350413\pi\) | ||||
0.452834 | + | 0.891595i | \(0.350413\pi\) | |||||||
\(308\) | 2.92652e8 | 0.570721 | ||||||||
\(309\) | 1.76116e8 | + | 8.48128e7i | 0.339581 | + | 0.163533i | ||||
\(310\) | −2.79618e8 | + | 1.22509e9i | −0.533088 | + | 2.33561i | ||||
\(311\) | 1.35720e8 | − | 6.53592e7i | 0.255848 | − | 0.123210i | −0.301564 | − | 0.953446i | \(-0.597509\pi\) |
0.557412 | + | 0.830236i | \(0.311794\pi\) | |||||||
\(312\) | −5.98350e7 | + | 2.62154e8i | −0.111536 | + | 0.488671i | ||||
\(313\) | 3.82874e8 | − | 4.80109e8i | 0.705751 | − | 0.884983i | −0.291688 | − | 0.956514i | \(-0.594217\pi\) |
0.997438 | + | 0.0715304i | \(0.0227883\pi\) | |||||||
\(314\) | −3.38136e8 | − | 1.62838e8i | −0.616364 | − | 0.296825i | ||||
\(315\) | −1.94190e8 | + | 2.43507e8i | −0.350058 | + | 0.438959i | ||||
\(316\) | −3.08237e8 | − | 1.35048e9i | −0.549516 | − | 2.40759i | ||||
\(317\) | −7.70715e7 | + | 3.71157e7i | −0.135890 | + | 0.0654410i | −0.500593 | − | 0.865683i | \(-0.666885\pi\) |
0.364703 | + | 0.931124i | \(0.381170\pi\) | |||||||
\(318\) | 1.33615e9 | − | 6.43456e8i | 2.33002 | − | 1.12208i | ||||
\(319\) | 8.95765e7 | + | 1.12325e8i | 0.154499 | + | 0.193736i | ||||
\(320\) | −2.54408e8 | − | 1.11463e9i | −0.434016 | − | 1.90155i | ||||
\(321\) | 1.33015e7 | − | 5.82777e7i | 0.0224457 | − | 0.0983411i | ||||
\(322\) | −6.23285e7 | − | 7.81574e7i | −0.104038 | − | 0.130459i | ||||
\(323\) | 3.97645e8 | + | 4.98631e8i | 0.656578 | + | 0.823323i | ||||
\(324\) | 2.89662e6 | − | 1.26909e7i | 0.00473134 | − | 0.0207293i | ||||
\(325\) | 3.44402e7 | + | 1.50892e8i | 0.0556511 | + | 0.243823i | ||||
\(326\) | −1.69408e8 | − | 2.12431e8i | −0.270814 | − | 0.339591i | ||||
\(327\) | −1.03828e9 | + | 5.00008e8i | −1.64209 | + | 0.790788i | ||||
\(328\) | 6.62051e8 | − | 3.18827e8i | 1.03594 | − | 0.498880i | ||||
\(329\) | 5.47787e7 | + | 2.40001e8i | 0.0848059 | + | 0.371559i | ||||
\(330\) | 1.79616e9 | − | 2.25231e9i | 2.75135 | − | 3.45008i | ||||
\(331\) | −5.00593e8 | − | 2.41073e8i | −0.758729 | − | 0.365384i | 0.0141820 | − | 0.999899i | \(-0.495486\pi\) |
−0.772911 | + | 0.634515i | \(0.781200\pi\) | |||||||
\(332\) | −6.21672e8 | + | 7.79553e8i | −0.932349 | + | 1.16913i | ||||
\(333\) | −3.50499e8 | + | 1.53564e9i | −0.520154 | + | 2.27894i | ||||
\(334\) | −4.44727e8 | + | 2.14169e8i | −0.653102 | + | 0.314517i | ||||
\(335\) | −7.28046e7 | + | 3.18978e8i | −0.105804 | + | 0.463557i | ||||
\(336\) | 1.19900e8 | + | 5.77406e7i | 0.172437 | + | 0.0830413i | ||||
\(337\) | −8.18028e8 | −1.16430 | −0.582148 | − | 0.813083i | \(-0.697788\pi\) | ||||
−0.582148 | + | 0.813083i | \(0.697788\pi\) | |||||||
\(338\) | 8.43269e8 | 1.18784 | ||||||||
\(339\) | 1.54540e9 | + | 7.44227e8i | 2.15448 | + | 1.03754i | ||||
\(340\) | 2.14875e8 | + | 9.41428e8i | 0.296489 | + | 1.29901i | ||||
\(341\) | 8.16969e8 | + | 1.02445e9i | 1.11575 | + | 1.39910i | ||||
\(342\) | −1.58562e9 | + | 1.98831e9i | −2.14342 | + | 2.68777i | ||||
\(343\) | −4.06101e8 | −0.543381 | ||||||||
\(344\) | −4.76194e8 | − | 8.05168e7i | −0.630709 | − | 0.106643i | ||||
\(345\) | −5.76054e8 | −0.755260 | ||||||||
\(346\) | −5.26695e8 | + | 6.60454e8i | −0.683585 | + | 0.857189i | ||||
\(347\) | 9.80384e7 | + | 1.22936e8i | 0.125963 | + | 0.157953i | 0.840814 | − | 0.541324i | \(-0.182077\pi\) |
−0.714851 | + | 0.699277i | \(0.753505\pi\) | |||||||
\(348\) | −6.92502e7 | − | 3.03405e8i | −0.0880834 | − | 0.385918i | ||||
\(349\) | 4.42605e8 | + | 2.13147e8i | 0.557349 | + | 0.268405i | 0.691282 | − | 0.722585i | \(-0.257046\pi\) |
−0.133933 | + | 0.990990i | \(0.542761\pi\) | |||||||
\(350\) | −1.81836e8 | −0.226694 | ||||||||
\(351\) | −3.88068e8 | −0.478997 | ||||||||
\(352\) | −1.35784e9 | − | 6.53902e8i | −1.65940 | − | 0.799123i | ||||
\(353\) | −2.40205e8 | + | 1.05241e9i | −0.290650 | + | 1.27342i | 0.592974 | + | 0.805222i | \(0.297954\pi\) |
−0.883624 | + | 0.468198i | \(0.844903\pi\) | |||||||
\(354\) | −9.20683e8 | + | 4.43377e8i | −1.10306 | + | 0.531205i | ||||
\(355\) | 3.09871e8 | − | 1.35763e9i | 0.367606 | − | 1.61059i | ||||
\(356\) | 1.24409e9 | − | 1.56004e9i | 1.46143 | − | 1.83257i | ||||
\(357\) | −2.71537e8 | − | 1.30765e8i | −0.315857 | − | 0.152109i | ||||
\(358\) | 5.66373e7 | − | 7.10210e7i | 0.0652397 | − | 0.0818080i | ||||
\(359\) | −3.19291e8 | − | 1.39891e9i | −0.364214 | − | 1.59573i | −0.742374 | − | 0.669985i | \(-0.766300\pi\) |
0.378161 | − | 0.925740i | \(-0.376557\pi\) | |||||||
\(360\) | −1.01205e9 | + | 4.87378e8i | −1.14326 | + | 0.550563i | ||||
\(361\) | −7.14654e8 | + | 3.44159e8i | −0.799504 | + | 0.385021i | ||||
\(362\) | −4.00008e8 | − | 5.01594e8i | −0.443188 | − | 0.555741i | ||||
\(363\) | −3.40754e8 | − | 1.49294e9i | −0.373910 | − | 1.63821i | ||||
\(364\) | 3.96751e7 | − | 1.73828e8i | 0.0431184 | − | 0.188914i | ||||
\(365\) | −9.19637e8 | − | 1.15319e9i | −0.989900 | − | 1.24130i | ||||
\(366\) | −5.12826e8 | − | 6.43063e8i | −0.546747 | − | 0.685599i | ||||
\(367\) | 3.11506e8 | − | 1.36479e9i | 0.328954 | − | 1.44124i | −0.492175 | − | 0.870496i | \(-0.663798\pi\) |
0.821129 | − | 0.570743i | \(-0.193345\pi\) | |||||||
\(368\) | 3.37957e7 | + | 1.48069e8i | 0.0353504 | + | 0.154880i | ||||
\(369\) | 1.74287e9 | + | 2.18549e9i | 1.80581 | + | 2.26442i | ||||
\(370\) | −2.43499e9 | + | 1.17263e9i | −2.49914 | + | 1.20352i | ||||
\(371\) | −2.58459e8 | + | 1.24467e8i | −0.262774 | + | 0.126545i | ||||
\(372\) | −6.31587e8 | − | 2.76716e9i | −0.636111 | − | 2.78698i | ||||
\(373\) | 1.00368e9 | − | 1.25857e9i | 1.00141 | − | 1.25573i | 0.0348261 | − | 0.999393i | \(-0.488912\pi\) |
0.966587 | − | 0.256339i | \(-0.0825163\pi\) | |||||||
\(374\) | 1.54976e9 | + | 7.46325e8i | 1.53184 | + | 0.737696i | ||||
\(375\) | 6.13412e8 | − | 7.69194e8i | 0.600679 | − | 0.753228i | ||||
\(376\) | −1.97563e8 | + | 8.65582e8i | −0.191668 | + | 0.839751i | ||||
\(377\) | 7.88624e7 | − | 3.79781e7i | 0.0758010 | − | 0.0365039i | ||||
\(378\) | 1.01453e8 | − | 4.44493e8i | 0.0966144 | − | 0.423295i | ||||
\(379\) | −3.51497e8 | − | 1.69272e8i | −0.331653 | − | 0.159716i | 0.260645 | − | 0.965435i | \(-0.416065\pi\) |
−0.592298 | + | 0.805719i | \(0.701779\pi\) | |||||||
\(380\) | −2.55437e9 | −2.38804 | ||||||||
\(381\) | 7.99340e8 | 0.740448 | ||||||||
\(382\) | 5.24955e8 | + | 2.52805e8i | 0.481837 | + | 0.232041i | ||||
\(383\) | −2.75910e8 | − | 1.20884e9i | −0.250941 | − | 1.09944i | −0.930635 | − | 0.365948i | \(-0.880745\pi\) |
0.679694 | − | 0.733495i | \(-0.262112\pi\) | |||||||
\(384\) | 1.30888e9 | + | 1.64129e9i | 1.17962 | + | 1.47919i | ||||
\(385\) | −3.47441e8 | + | 4.35677e8i | −0.310290 | + | 0.389092i | ||||
\(386\) | 1.39979e9 | 1.23882 | ||||||||
\(387\) | −1.04480e8 | − | 1.83424e9i | −0.0916316 | − | 1.60867i | ||||
\(388\) | 2.74672e9 | 2.38728 | ||||||||
\(389\) | 7.48557e8 | − | 9.38661e8i | 0.644765 | − | 0.808510i | −0.346825 | − | 0.937930i | \(-0.612740\pi\) |
0.991590 | + | 0.129420i | \(0.0413116\pi\) | |||||||
\(390\) | −1.09431e9 | − | 1.37222e9i | −0.934145 | − | 1.17138i | ||||
\(391\) | −7.65373e7 | − | 3.35332e8i | −0.0647522 | − | 0.283698i | ||||
\(392\) | −6.32266e8 | − | 3.04483e8i | −0.530150 | − | 0.255307i | ||||
\(393\) | −2.83714e8 | −0.235780 | ||||||||
\(394\) | −6.44984e8 | −0.531266 | ||||||||
\(395\) | 2.37643e9 | + | 1.14443e9i | 1.94015 | + | 0.934325i | ||||
\(396\) | −8.93453e8 | + | 3.91447e9i | −0.723000 | + | 3.16767i | ||||
\(397\) | 1.45602e9 | − | 7.01185e8i | 1.16789 | − | 0.562426i | 0.253530 | − | 0.967328i | \(-0.418408\pi\) |
0.914360 | + | 0.404901i | \(0.132694\pi\) | |||||||
\(398\) | 3.41072e8 | − | 1.49433e9i | 0.271178 | − | 1.18811i | ||||
\(399\) | 4.97071e8 | − | 6.23307e8i | 0.391754 | − | 0.491243i | ||||
\(400\) | 2.48899e8 | + | 1.19863e8i | 0.194452 | + | 0.0936432i | ||||
\(401\) | −1.20124e9 | + | 1.50630e9i | −0.930299 | + | 1.16656i | 0.0554709 | + | 0.998460i | \(0.482334\pi\) |
−0.985770 | + | 0.168098i | \(0.946237\pi\) | |||||||
\(402\) | −2.80921e8 | − | 1.23080e9i | −0.215672 | − | 0.944920i | ||||
\(403\) | 7.19253e8 | − | 3.46374e8i | 0.547412 | − | 0.263620i | ||||
\(404\) | 1.81872e9 | − | 8.75847e8i | 1.37224 | − | 0.660836i | ||||
\(405\) | 1.54543e7 | + | 1.93791e7i | 0.0115600 | + | 0.0144958i | ||||
\(406\) | 2.28831e7 | + | 1.00258e8i | 0.0169697 | + | 0.0743491i | ||||
\(407\) | −6.27105e8 | + | 2.74753e9i | −0.461063 | + | 2.02005i | ||||
\(408\) | −6.77709e8 | − | 8.49821e8i | −0.494007 | − | 0.619465i | ||||
\(409\) | −1.11619e9 | − | 1.39966e9i | −0.806688 | − | 1.01156i | −0.999540 | − | 0.0303274i | \(-0.990345\pi\) |
0.192852 | − | 0.981228i | \(-0.438226\pi\) | |||||||
\(410\) | −1.06728e9 | + | 4.67606e9i | −0.764777 | + | 3.35071i | ||||
\(411\) | 1.43216e8 | + | 6.27472e8i | 0.101753 | + | 0.445808i | ||||
\(412\) | −2.91457e8 | − | 3.65475e8i | −0.205321 | − | 0.257465i | ||||
\(413\) | 1.78093e8 | − | 8.57649e7i | 0.124400 | − | 0.0599080i | ||||
\(414\) | 1.23571e9 | − | 5.95086e8i | 0.855884 | − | 0.412172i | ||||
\(415\) | −4.22477e8 | − | 1.85099e9i | −0.290158 | − | 1.27127i | ||||
\(416\) | −5.72485e8 | + | 7.17874e8i | −0.389886 | + | 0.488902i | ||||
\(417\) | 1.67035e9 | + | 8.04400e8i | 1.12806 | + | 0.543245i | ||||
\(418\) | −2.83696e9 | + | 3.55743e9i | −1.89992 | + | 2.38243i | ||||
\(419\) | −2.47000e8 | + | 1.08218e9i | −0.164039 | + | 0.718702i | 0.824265 | + | 0.566205i | \(0.191589\pi\) |
−0.988304 | + | 0.152498i | \(0.951268\pi\) | |||||||
\(420\) | 1.08755e9 | − | 5.23734e8i | 0.716267 | − | 0.344936i | ||||
\(421\) | −3.25572e8 | + | 1.42642e9i | −0.212647 | + | 0.931667i | 0.750113 | + | 0.661310i | \(0.229999\pi\) |
−0.962760 | + | 0.270357i | \(0.912858\pi\) | |||||||
\(422\) | −1.29959e8 | − | 6.25849e7i | −0.0841807 | − | 0.0405393i | ||||
\(423\) | −3.37746e9 | −2.16970 | ||||||||
\(424\) | −1.03461e9 | −0.659168 | ||||||||
\(425\) | −5.63681e8 | − | 2.71455e8i | −0.356182 | − | 0.171528i | ||||
\(426\) | 1.19566e9 | + | 5.23852e9i | 0.749331 | + | 3.28303i | ||||
\(427\) | 9.91987e7 | + | 1.24391e8i | 0.0616607 | + | 0.0773201i | ||||
\(428\) | −8.91285e7 | + | 1.11764e8i | −0.0549495 | + | 0.0689044i | ||||
\(429\) | −1.83018e9 | −1.11916 | ||||||||
\(430\) | 2.34882e9 | − | 2.10242e9i | 1.42466 | − | 1.27520i | ||||
\(431\) | −1.79610e9 | −1.08059 | −0.540294 | − | 0.841476i | \(-0.681687\pi\) | ||||
−0.540294 | + | 0.841476i | \(0.681687\pi\) | |||||||
\(432\) | −4.31872e8 | + | 5.41551e8i | −0.257728 | + | 0.323181i | ||||
\(433\) | −1.37232e9 | − | 1.72083e9i | −0.812359 | − | 1.01867i | −0.999341 | − | 0.0363022i | \(-0.988442\pi\) |
0.186982 | − | 0.982363i | \(-0.440129\pi\) | |||||||
\(434\) | 2.08702e8 | + | 9.14384e8i | 0.122550 | + | 0.536926i | ||||
\(435\) | 5.33900e8 | + | 2.57113e8i | 0.310991 | + | 0.149765i | ||||
\(436\) | 2.75588e9 | 1.59242 | ||||||||
\(437\) | 9.09854e8 | 0.521539 | ||||||||
\(438\) | 5.12770e9 | + | 2.46937e9i | 2.91584 | + | 1.40419i | ||||
\(439\) | 5.29887e8 | − | 2.32159e9i | 0.298922 | − | 1.30966i | −0.572814 | − | 0.819686i | \(-0.694148\pi\) |
0.871735 | − | 0.489977i | \(-0.162995\pi\) | |||||||
\(440\) | −1.81074e9 | + | 8.72007e8i | −1.01338 | + | 0.488018i | ||||
\(441\) | 5.94040e8 | − | 2.60266e9i | 0.329823 | − | 1.44505i | ||||
\(442\) | 6.53400e8 | − | 8.19338e8i | 0.359916 | − | 0.451321i | ||||
\(443\) | 2.44610e9 | + | 1.17798e9i | 1.33679 | + | 0.643762i | 0.959336 | − | 0.282268i | \(-0.0910867\pi\) |
0.377450 | + | 0.926030i | \(0.376801\pi\) | |||||||
\(444\) | 3.80614e9 | − | 4.77275e9i | 2.06369 | − | 2.58778i | ||||
\(445\) | 8.45461e8 | + | 3.70421e9i | 0.454814 | + | 1.99267i | ||||
\(446\) | −3.76102e9 | + | 1.81121e9i | −2.00740 | + | 0.966712i | ||||
\(447\) | −2.12722e9 | + | 1.02442e9i | −1.12652 | + | 0.542501i | ||||
\(448\) | −5.32048e8 | − | 6.67167e8i | −0.279562 | − | 0.350560i | ||||
\(449\) | −5.75429e8 | − | 2.52112e9i | −0.300006 | − | 1.31441i | −0.870117 | − | 0.492844i | \(-0.835957\pi\) |
0.570112 | − | 0.821567i | \(-0.306900\pi\) | |||||||
\(450\) | 5.55135e8 | − | 2.43221e9i | 0.287181 | − | 1.25822i | ||||
\(451\) | 3.11831e9 | + | 3.91024e9i | 1.60067 | + | 2.00717i | ||||
\(452\) | −2.55752e9 | − | 3.20702e9i | −1.30267 | − | 1.63349i | ||||
\(453\) | 8.15706e8 | − | 3.57384e9i | 0.412278 | − | 1.80631i | ||||
\(454\) | 2.34150e8 | + | 1.02588e9i | 0.117435 | + | 0.514517i | ||||
\(455\) | 2.11678e8 | + | 2.65436e8i | 0.105351 | + | 0.132105i | ||||
\(456\) | 2.59056e9 | − | 1.24755e9i | 1.27943 | − | 0.616141i | ||||
\(457\) | 1.92142e9 | − | 9.25307e8i | 0.941706 | − | 0.453502i | 0.100935 | − | 0.994893i | \(-0.467817\pi\) |
0.840771 | + | 0.541391i | \(0.182102\pi\) | |||||||
\(458\) | 8.21603e8 | + | 3.59968e9i | 0.399607 | + | 1.75079i | ||||
\(459\) | 9.78063e8 | − | 1.22645e9i | 0.472087 | − | 0.591979i | ||||
\(460\) | 1.24117e9 | + | 5.97714e8i | 0.594535 | + | 0.286313i | ||||
\(461\) | 4.72622e8 | − | 5.92649e8i | 0.224678 | − | 0.281737i | −0.656697 | − | 0.754155i | \(-0.728047\pi\) |
0.881375 | + | 0.472417i | \(0.156618\pi\) | |||||||
\(462\) | 4.78463e8 | − | 2.09628e9i | 0.225736 | − | 0.989015i | ||||
\(463\) | −7.70801e8 | + | 3.71198e8i | −0.360918 | + | 0.173809i | −0.605550 | − | 0.795807i | \(-0.707047\pi\) |
0.244632 | + | 0.969616i | \(0.421333\pi\) | |||||||
\(464\) | 3.47656e7 | − | 1.52318e8i | 0.0161561 | − | 0.0707844i | ||||
\(465\) | 4.86936e9 | + | 2.34496e9i | 2.24588 | + | 1.08156i | ||||
\(466\) | 2.53513e9 | 1.16051 | ||||||||
\(467\) | −2.15456e9 | −0.978926 | −0.489463 | − | 0.872024i | \(-0.662807\pi\) | ||||
−0.489463 | + | 0.872024i | \(0.662807\pi\) | |||||||
\(468\) | 2.20397e9 | + | 1.06138e9i | 0.993907 | + | 0.478640i | ||||
\(469\) | 5.43401e7 | + | 2.38080e8i | 0.0243229 | + | 0.106566i | ||||
\(470\) | −3.61319e9 | − | 4.53080e9i | −1.60527 | − | 2.01295i | ||||
\(471\) | −1.00642e9 | + | 1.26201e9i | −0.443819 | + | 0.556531i | ||||
\(472\) | 7.12904e8 | 0.312057 | ||||||||
\(473\) | −1.86934e8 | − | 3.28178e9i | −0.0812220 | − | 1.42592i | ||||
\(474\) | −1.01775e10 | −4.38951 | ||||||||
\(475\) | 1.03186e9 | − | 1.29392e9i | 0.441769 | − | 0.553960i | ||||
\(476\) | 4.49372e8 | + | 5.63495e8i | 0.190977 | + | 0.239478i | ||||
\(477\) | −8.75794e8 | − | 3.83711e9i | −0.369477 | − | 1.61879i | ||||
\(478\) | −1.64762e9 | − | 7.93450e8i | −0.690015 | − | 0.332294i | ||||
\(479\) | −2.45987e9 | −1.02268 | −0.511338 | − | 0.859379i | \(-0.670850\pi\) | ||||
−0.511338 | + | 0.859379i | \(0.670850\pi\) | |||||||
\(480\) | −6.21620e9 | −2.56555 | ||||||||
\(481\) | 1.54694e9 | + | 7.44969e8i | 0.633822 | + | 0.305232i | ||||
\(482\) | −8.88632e8 | + | 3.89335e9i | −0.361457 | + | 1.58365i | ||||
\(483\) | −3.87378e8 | + | 1.86551e8i | −0.156430 | + | 0.0753327i | ||||
\(484\) | −8.14887e8 | + | 3.57025e9i | −0.326692 | + | 1.43133i | ||||
\(485\) | −3.26095e9 | + | 4.08911e9i | −1.29792 | + | 1.62754i | ||||
\(486\) | −3.58385e9 | − | 1.72589e9i | −1.41620 | − | 0.682004i | ||||
\(487\) | −3.74027e8 | + | 4.69015e8i | −0.146741 | + | 0.184007i | −0.849770 | − | 0.527154i | \(-0.823259\pi\) |
0.703029 | + | 0.711161i | \(0.251830\pi\) | |||||||
\(488\) | 1.27686e8 | + | 5.59428e8i | 0.0497362 | + | 0.217909i | ||||
\(489\) | −1.05289e9 | + | 5.07044e8i | −0.407194 | + | 0.196094i | ||||
\(490\) | 4.12692e9 | − | 1.98742e9i | 1.58467 | − | 0.763138i | ||||
\(491\) | 9.41078e8 | + | 1.18007e9i | 0.358790 | + | 0.449908i | 0.928165 | − | 0.372170i | \(-0.121386\pi\) |
−0.569375 | + | 0.822078i | \(0.692815\pi\) | |||||||
\(492\) | −2.41072e9 | − | 1.05620e10i | −0.912575 | − | 3.99825i | ||||
\(493\) | −7.87337e7 | + | 3.44955e8i | −0.0295935 | + | 0.129658i | ||||
\(494\) | 1.72842e9 | + | 2.16737e9i | 0.645066 | + | 0.808887i | ||||
\(495\) | −4.76684e9 | − | 5.97742e9i | −1.76649 | − | 2.21511i | ||||
\(496\) | 3.17074e8 | − | 1.38919e9i | 0.116674 | − | 0.511183i | ||||
\(497\) | −2.31283e8 | − | 1.01332e9i | −0.0845076 | − | 0.370252i | ||||
\(498\) | 4.56759e9 | + | 5.72758e9i | 1.65724 | + | 2.07811i | ||||
\(499\) | 2.82058e8 | − | 1.35832e8i | 0.101622 | − | 0.0489385i | −0.382382 | − | 0.924004i | \(-0.624896\pi\) |
0.484004 | + | 0.875066i | \(0.339182\pi\) | |||||||
\(500\) | −2.11977e9 | + | 1.02083e9i | −0.758393 | + | 0.365223i | ||||
\(501\) | 4.72414e8 | + | 2.06978e9i | 0.167838 | + | 0.735347i | ||||
\(502\) | 3.04795e9 | − | 3.82201e9i | 1.07534 | − | 1.34843i | ||||
\(503\) | −1.52440e9 | − | 7.34113e8i | −0.534086 | − | 0.257202i | 0.147344 | − | 0.989085i | \(-0.452928\pi\) |
−0.681430 | + | 0.731883i | \(0.738642\pi\) | |||||||
\(504\) | −5.22738e8 | + | 6.55492e8i | −0.181877 | + | 0.228066i | ||||
\(505\) | −8.55315e8 | + | 3.74738e9i | −0.295533 | + | 1.29481i | ||||
\(506\) | 2.21090e9 | − | 1.06472e9i | 0.758653 | − | 0.365348i | ||||
\(507\) | 8.07058e8 | − | 3.53595e9i | 0.275028 | − | 1.20498i | ||||
\(508\) | −1.72226e9 | − | 8.29397e8i | −0.582875 | − | 0.280698i | ||||
\(509\) | 1.88174e9 | 0.632481 | 0.316240 | − | 0.948679i | \(-0.397579\pi\) | ||||
0.316240 | + | 0.948679i | \(0.397579\pi\) | |||||||
\(510\) | 7.09480e9 | 2.36834 | ||||||||
\(511\) | −9.91879e8 | − | 4.77664e8i | −0.328841 | − | 0.158361i | ||||
\(512\) | 5.45588e8 | + | 2.39038e9i | 0.179647 | + | 0.787084i | ||||
\(513\) | 2.58724e9 | + | 3.24429e9i | 0.846107 | + | 1.06098i | ||||
\(514\) | −2.13891e9 | + | 2.68210e9i | −0.694737 | + | 0.871173i | ||||
\(515\) | 8.90113e8 | 0.287157 | ||||||||
\(516\) | −2.71956e9 | + | 6.58048e9i | −0.871415 | + | 2.10855i | ||||
\(517\) | −6.04288e9 | −1.92321 | ||||||||
\(518\) | −1.25770e9 | + | 1.57711e9i | −0.397580 | + | 0.498550i | ||||
\(519\) | 2.26531e9 | + | 2.84061e9i | 0.711281 | + | 0.891918i | ||||
\(520\) | 2.72466e8 | + | 1.19375e9i | 0.0849769 | + | 0.372308i | ||||
\(521\) | 1.20539e9 | + | 5.80486e8i | 0.373419 | + | 0.179829i | 0.611174 | − | 0.791496i | \(-0.290697\pi\) |
−0.237756 | + | 0.971325i | \(0.576412\pi\) | |||||||
\(522\) | −1.41089e9 | −0.434157 | ||||||||
\(523\) | −4.18576e9 | −1.27943 | −0.639717 | − | 0.768610i | \(-0.720949\pi\) | ||||
−0.639717 | + | 0.768610i | \(0.720949\pi\) | |||||||
\(524\) | 6.11291e8 | + | 2.94382e8i | 0.185604 | + | 0.0893824i | ||||
\(525\) | −1.74027e8 | + | 7.62464e8i | −0.0524880 | + | 0.229965i | ||||
\(526\) | 6.68580e9 | − | 3.21971e9i | 2.00310 | − | 0.964643i | ||||
\(527\) | −7.18079e8 | + | 3.14611e9i | −0.213715 | + | 0.936347i | ||||
\(528\) | −2.03676e9 | + | 2.55402e9i | −0.602174 | + | 0.755102i | ||||
\(529\) | 2.62554e9 | + | 1.26440e9i | 0.771125 | + | 0.371354i | ||||
\(530\) | 4.21049e9 | − | 5.27978e9i | 1.22848 | − | 1.54046i | ||||
\(531\) | 6.03471e8 | + | 2.64398e9i | 0.174914 | + | 0.766350i | ||||
\(532\) | −1.71773e9 | + | 8.27216e8i | −0.494612 | + | 0.238193i | ||||
\(533\) | 2.74533e9 | − | 1.32208e9i | 0.785326 | − | 0.378193i | ||||
\(534\) | −9.14067e9 | − | 1.14620e10i | −2.59767 | − | 3.25737i | ||||
\(535\) | −6.05701e7 | − | 2.65375e8i | −0.0171009 | − | 0.0749241i | ||||
\(536\) | −1.95982e8 | + | 8.58652e8i | −0.0549716 | + | 0.240846i | ||||
\(537\) | −2.43596e8 | − | 3.05460e8i | −0.0678830 | − | 0.0851225i | ||||
\(538\) | 2.02906e9 | + | 2.54436e9i | 0.561769 | + | 0.704436i | ||||
\(539\) | 1.06284e9 | − | 4.65662e9i | 0.292354 | − | 1.28088i | ||||
\(540\) | 1.39806e9 | + | 6.12531e9i | 0.382075 | + | 1.67398i | ||||
\(541\) | −1.80760e9 | − | 2.26666e9i | −0.490809 | − | 0.615455i | 0.473320 | − | 0.880891i | \(-0.343056\pi\) |
−0.964129 | + | 0.265436i | \(0.914484\pi\) | |||||||
\(542\) | 4.90887e9 | − | 2.36399e9i | 1.32429 | − | 0.637746i | ||||
\(543\) | −2.48609e9 | + | 1.19724e9i | −0.666373 | + | 0.320908i | ||||
\(544\) | −8.25915e8 | − | 3.61857e9i | −0.219958 | − | 0.963697i | ||||
\(545\) | −3.27183e9 | + | 4.10274e9i | −0.865770 | + | 1.08564i | ||||
\(546\) | −1.18027e9 | − | 5.68390e8i | −0.310319 | − | 0.149442i | ||||
\(547\) | 2.22663e9 | − | 2.79210e9i | 0.581691 | − | 0.729417i | −0.400710 | − | 0.916205i | \(-0.631236\pi\) |
0.982400 | + | 0.186788i | \(0.0598078\pi\) | |||||||
\(548\) | 3.42492e8 | − | 1.50055e9i | 0.0889033 | − | 0.389511i | ||||
\(549\) | −1.96669e9 | + | 9.47108e8i | −0.507262 | + | 0.244285i | ||||
\(550\) | 9.93237e8 | − | 4.35165e9i | 0.254556 | − | 1.11528i | ||||
\(551\) | −8.43274e8 | − | 4.06099e8i | −0.214752 | − | 0.103419i | ||||
\(552\) | −1.55067e9 | −0.392404 | ||||||||
\(553\) | 1.96869e9 | 0.495038 | ||||||||
\(554\) | −8.90452e9 | − | 4.28819e9i | −2.22498 | − | 1.07149i | ||||
\(555\) | 2.58658e9 | + | 1.13326e10i | 0.642245 | + | 2.81386i | ||||
\(556\) | −2.76430e9 | − | 3.46632e9i | −0.682061 | − | 0.855278i | ||||
\(557\) | 9.35809e8 | − | 1.17347e9i | 0.229453 | − | 0.287725i | −0.653755 | − | 0.756706i | \(-0.726807\pi\) |
0.883208 | + | 0.468981i | \(0.155379\pi\) | |||||||
\(558\) | −1.28678e10 | −3.13535 | ||||||||
\(559\) | −1.97464e9 | − | 3.33880e8i | −0.478130 | − | 0.0808442i | ||||
\(560\) | 6.05990e8 | 0.145817 | ||||||||
\(561\) | 4.61266e9 | − | 5.78410e9i | 1.10302 | − | 1.38314i | ||||
\(562\) | 5.46961e9 | + | 6.85867e9i | 1.29981 | + | 1.62991i | ||||
\(563\) | 2.88886e8 | + | 1.26569e9i | 0.0682256 | + | 0.298916i | 0.997517 | − | 0.0704327i | \(-0.0224380\pi\) |
−0.929291 | + | 0.369349i | \(0.879581\pi\) | |||||||
\(564\) | 1.17934e10 | + | 5.67941e9i | 2.76798 | + | 1.33299i | ||||
\(565\) | 7.81068e9 | 1.82188 | ||||||||
\(566\) | 1.09450e10 | 2.53723 | ||||||||
\(567\) | 1.66683e7 | + | 8.02705e6i | 0.00384018 | + | 0.00184933i | ||||
\(568\) | 8.34138e8 | − | 3.65460e9i | 0.190994 | − | 0.836798i | ||||
\(569\) | −1.06655e9 | + | 5.13622e8i | −0.242710 | + | 0.116883i | −0.551285 | − | 0.834317i | \(-0.685862\pi\) |
0.308575 | + | 0.951200i | \(0.400148\pi\) | |||||||
\(570\) | −4.17619e9 | + | 1.82971e10i | −0.944536 | + | 4.13828i | ||||
\(571\) | 1.50827e8 | − | 1.89131e8i | 0.0339041 | − | 0.0425145i | −0.764590 | − | 0.644517i | \(-0.777059\pi\) |
0.798495 | + | 0.602002i | \(0.205630\pi\) | |||||||
\(572\) | 3.94330e9 | + | 1.89899e9i | 0.880996 | + | 0.424265i | ||||
\(573\) | 1.56246e9 | − | 1.95927e9i | 0.346951 | − | 0.435063i | ||||
\(574\) | 7.96600e8 | + | 3.49013e9i | 0.175812 | + | 0.770283i | ||||
\(575\) | −8.04154e8 | + | 3.87260e8i | −0.176401 | + | 0.0849504i | ||||
\(576\) | 1.05483e10 | − | 5.07977e9i | 2.29986 | − | 1.10756i | ||||
\(577\) | 3.77662e9 | + | 4.73573e9i | 0.818441 | + | 1.02629i | 0.999086 | + | 0.0427446i | \(0.0136102\pi\) |
−0.180645 | + | 0.983548i | \(0.557818\pi\) | |||||||
\(578\) | −6.61690e8 | − | 2.89905e9i | −0.142530 | − | 0.624466i | ||||
\(579\) | 1.33968e9 | − | 5.86953e9i | 0.286831 | − | 1.25669i | ||||
\(580\) | −8.83562e8 | − | 1.10795e9i | −0.188035 | − | 0.235789i | ||||
\(581\) | −8.83535e8 | − | 1.10792e9i | −0.186899 | − | 0.234364i | ||||
\(582\) | 4.49068e9 | − | 1.96749e10i | 0.944238 | − | 4.13698i | ||||
\(583\) | −1.56695e9 | − | 6.86527e9i | −0.327503 | − | 1.43489i | ||||
\(584\) | −2.47556e9 | − | 3.10425e9i | −0.514314 | − | 0.644929i | ||||
\(585\) | −4.19668e9 | + | 2.02102e9i | −0.866684 | + | 0.417373i | ||||
\(586\) | −4.66457e9 | + | 2.24634e9i | −0.957569 | + | 0.461141i | ||||
\(587\) | −7.12958e7 | − | 3.12368e8i | −0.0145489 | − | 0.0637430i | 0.967132 | − | 0.254273i | \(-0.0818363\pi\) |
−0.981681 | + | 0.190530i | \(0.938979\pi\) | |||||||
\(588\) | −6.45080e9 | + | 8.08905e9i | −1.30856 | + | 1.64088i | ||||
\(589\) | −7.69096e9 | − | 3.70377e9i | −1.55088 | − | 0.746862i | ||||
\(590\) | −2.90126e9 | + | 3.63807e9i | −0.581574 | + | 0.729270i | ||||
\(591\) | −6.17288e8 | + | 2.70452e9i | −0.123008 | + | 0.538931i | ||||
\(592\) | 2.76117e9 | − | 1.32971e9i | 0.546974 | − | 0.263409i | ||||
\(593\) | −7.18415e8 | + | 3.14758e9i | −0.141476 | + | 0.619849i | 0.853616 | + | 0.520902i | \(0.174404\pi\) |
−0.995093 | + | 0.0989465i | \(0.968453\pi\) | |||||||
\(594\) | 1.00834e10 | + | 4.85589e9i | 1.97402 | + | 0.950640i | ||||
\(595\) | −1.37239e9 | −0.267096 | ||||||||
\(596\) | 5.64626e9 | 1.09244 | ||||||||
\(597\) | −5.93954e9 | − | 2.86033e9i | −1.14246 | − | 0.550182i | ||||
\(598\) | −3.32680e8 | − | 1.45757e9i | −0.0636169 | − | 0.278724i | ||||
\(599\) | −4.67526e9 | − | 5.86260e9i | −0.888817 | − | 1.11454i | −0.992779 | − | 0.119960i | \(-0.961723\pi\) |
0.103962 | − | 0.994581i | \(-0.466848\pi\) | |||||||
\(600\) | −1.75862e9 | + | 2.20523e9i | −0.332385 | + | 0.416798i | ||||
\(601\) | 6.67072e9 | 1.25346 | 0.626732 | − | 0.779235i | \(-0.284392\pi\) | ||||
0.626732 | + | 0.779235i | \(0.284392\pi\) | |||||||
\(602\) | 8.98655e8 | − | 2.17446e9i | 0.167882 | − | 0.406223i | ||||
\(603\) | −3.35042e9 | −0.622284 | ||||||||
\(604\) | −5.46575e9 | + | 6.85383e9i | −1.00930 | + | 1.26562i | ||||
\(605\) | −4.34767e9 | − | 5.45180e9i | −0.798201 | − | 1.00091i | ||||
\(606\) | −3.30029e9 | − | 1.44595e10i | −0.602417 | − | 2.63936i | ||||
\(607\) | −2.42378e9 | − | 1.16723e9i | −0.439878 | − | 0.211834i | 0.200818 | − | 0.979629i | \(-0.435640\pi\) |
−0.640696 | + | 0.767794i | \(0.721354\pi\) | |||||||
\(608\) | 9.81824e9 | 1.77162 | ||||||||
\(609\) | 4.42295e8 | 0.0793509 | ||||||||
\(610\) | −3.37449e9 | − | 1.62507e9i | −0.601940 | − | 0.289879i | ||||
\(611\) | −8.19239e8 | + | 3.58932e9i | −0.145300 | + | 0.636602i | ||||
\(612\) | −8.90914e9 | + | 4.29041e9i | −1.57111 | + | 0.756605i | ||||
\(613\) | 6.95880e8 | − | 3.04885e9i | 0.122018 | − | 0.534594i | −0.876561 | − | 0.481291i | \(-0.840168\pi\) |
0.998578 | − | 0.0533029i | \(-0.0169749\pi\) | |||||||
\(614\) | −5.02998e9 | + | 6.30739e9i | −0.876954 | + | 1.09967i | ||||
\(615\) | 1.85860e10 | + | 8.95054e9i | 3.22198 | + | 1.55162i | ||||
\(616\) | −9.35272e8 | + | 1.17279e9i | −0.161215 | + | 0.202157i | ||||
\(617\) | 1.01274e9 | + | 4.43710e9i | 0.173580 | + | 0.760503i | 0.984506 | + | 0.175354i | \(0.0561068\pi\) |
−0.810926 | + | 0.585149i | \(0.801036\pi\) | |||||||
\(618\) | −3.09443e9 | + | 1.49020e9i | −0.527377 | + | 0.253971i | ||||
\(619\) | −3.64811e9 | + | 1.75684e9i | −0.618232 | + | 0.297725i | −0.716663 | − | 0.697419i | \(-0.754332\pi\) |
0.0984319 | + | 0.995144i | \(0.468617\pi\) | |||||||
\(620\) | −8.05840e9 | − | 1.01049e10i | −1.35793 | − | 1.70279i | ||||
\(621\) | −4.97982e8 | − | 2.18180e9i | −0.0834437 | − | 0.365591i | ||||
\(622\) | −5.88962e8 | + | 2.58041e9i | −0.0981343 | + | 0.429954i | ||||
\(623\) | 1.76813e9 | + | 2.21716e9i | 0.292958 | + | 0.367358i | ||||
\(624\) | 1.24090e9 | + | 1.55604e9i | 0.204451 | + | 0.256374i | ||||
\(625\) | 1.69736e9 | − | 7.43663e9i | 0.278096 | − | 1.21842i | ||||
\(626\) | 2.40094e9 | + | 1.05192e10i | 0.391175 | + | 1.71385i | ||||
\(627\) | 1.22017e10 | + | 1.53005e10i | 1.97690 | + | 2.47895i | ||||
\(628\) | 3.47789e9 | − | 1.67487e9i | 0.560348 | − | 0.269849i | ||||
\(629\) | −6.25323e9 | + | 3.01140e9i | −1.00191 | + | 0.482493i | ||||
\(630\) | −1.21773e9 | − | 5.33523e9i | −0.194026 | − | 0.850083i | ||||
\(631\) | −1.80948e9 | + | 2.26902e9i | −0.286716 | + | 0.359530i | −0.904242 | − | 0.427020i | \(-0.859563\pi\) |
0.617527 | + | 0.786550i | \(0.288135\pi\) | |||||||
\(632\) | 6.39707e9 | + | 3.08067e9i | 1.00802 | + | 0.485439i | ||||
\(633\) | −3.86806e8 | + | 4.85040e8i | −0.0606151 | + | 0.0760089i | ||||
\(634\) | 3.34455e8 | − | 1.46534e9i | 0.0521225 | − | 0.228364i | ||||
\(635\) | 3.27943e9 | − | 1.57929e9i | 0.508266 | − | 0.244768i | ||||
\(636\) | −3.39423e9 | + | 1.48711e10i | −0.523169 | + | 2.29215i | ||||
\(637\) | −2.62182e9 | − | 1.26260e9i | −0.401898 | − | 0.193544i | ||||
\(638\) | −2.52434e9 | −0.384836 | ||||||||
\(639\) | 1.42601e10 | 2.16206 | ||||||||
\(640\) | 8.61267e9 | + | 4.14764e9i | 1.29870 | + | 0.625420i | ||||
\(641\) | −2.90022e9 | − | 1.27067e10i | −0.434939 | − | 1.90559i | −0.424023 | − | 0.905652i | \(-0.639382\pi\) |
−0.0109163 | − | 0.999940i | \(-0.503475\pi\) | |||||||
\(642\) | 6.54851e8 | + | 8.21157e8i | 0.0976719 | + | 0.122477i | ||||
\(643\) | −7.64149e9 | + | 9.58212e9i | −1.13355 | + | 1.42142i | −0.240968 | + | 0.970533i | \(0.577465\pi\) |
−0.892580 | + | 0.450890i | \(0.851107\pi\) | |||||||
\(644\) | 1.02821e9 | 0.151699 | ||||||||
\(645\) | −6.56780e9 | − | 1.18611e10i | −0.963742 | − | 1.74047i | ||||
\(646\) | −1.12060e10 | −1.63544 | ||||||||
\(647\) | −1.13724e9 | + | 1.42605e9i | −0.165077 | + | 0.207000i | −0.857489 | − | 0.514502i | \(-0.827977\pi\) |
0.692412 | + | 0.721502i | \(0.256548\pi\) | |||||||
\(648\) | 4.16013e7 | + | 5.21663e7i | 0.00600612 | + | 0.00753144i | ||||
\(649\) | 1.07972e9 | + | 4.73055e9i | 0.155044 | + | 0.679290i | ||||
\(650\) | −2.45012e9 | − | 1.17992e9i | −0.349938 | − | 0.168521i | ||||
\(651\) | 4.03389e9 | 0.573048 | ||||||||
\(652\) | 2.79466e9 | 0.394878 | ||||||||
\(653\) | 8.72606e9 | + | 4.20225e9i | 1.22637 | + | 0.590589i | 0.931079 | − | 0.364818i | \(-0.118869\pi\) |
0.295292 | + | 0.955407i | \(0.404583\pi\) | |||||||
\(654\) | 4.50565e9 | − | 1.97406e10i | 0.629848 | − | 2.75954i | ||||
\(655\) | −1.16399e9 | + | 5.60546e8i | −0.161847 | + | 0.0779412i | ||||
\(656\) | 1.21025e9 | − | 5.30244e9i | 0.167383 | − | 0.733352i | ||||
\(657\) | 9.41733e9 | − | 1.18090e10i | 1.29553 | − | 1.62455i | ||||
\(658\) | −3.89703e9 | − | 1.87671e9i | −0.533265 | − | 0.256807i | ||||
\(659\) | −1.42671e9 | + | 1.78904e9i | −0.194194 | + | 0.243512i | −0.869390 | − | 0.494127i | \(-0.835488\pi\) |
0.675196 | + | 0.737639i | \(0.264059\pi\) | |||||||
\(660\) | 6.59343e9 | + | 2.88877e10i | 0.892704 | + | 3.91119i | ||||
\(661\) | −4.59589e9 | + | 2.21326e9i | −0.618962 | + | 0.298076i | −0.716964 | − | 0.697110i | \(-0.754469\pi\) |
0.0980023 | + | 0.995186i | \(0.468755\pi\) | |||||||
\(662\) | 8.79564e9 | − | 4.23576e9i | 1.17832 | − | 0.567450i | ||||
\(663\) | −2.81027e9 | − | 3.52396e9i | −0.374498 | − | 0.469606i | ||||
\(664\) | −1.13726e9 | − | 4.98266e9i | −0.150755 | − | 0.660501i | ||||
\(665\) | 8.07824e8 | − | 3.53931e9i | 0.106522 | − | 0.466705i | ||||
\(666\) | −1.72555e10 | − | 2.16377e10i | −2.26344 | − | 2.83826i | ||||
\(667\) | 3.14720e8 | + | 3.94647e8i | 0.0410662 | + | 0.0514954i | ||||
\(668\) | 1.12974e9 | − | 4.94973e9i | 0.146643 | − | 0.642487i | ||||
\(669\) | 3.99517e9 | + | 1.75040e10i | 0.515874 | + | 2.26019i | ||||
\(670\) | −3.58427e9 | − | 4.49453e9i | −0.460403 | − | 0.577327i | ||||
\(671\) | −3.51876e9 | + | 1.69455e9i | −0.449636 | + | 0.216533i | ||||
\(672\) | −4.18020e9 | + | 2.01308e9i | −0.531379 | + | 0.255899i | ||||
\(673\) | 2.54583e9 | + | 1.11540e10i | 0.321941 | + | 1.41052i | 0.834094 | + | 0.551622i | \(0.185991\pi\) |
−0.512153 | + | 0.858894i | \(0.671152\pi\) | |||||||
\(674\) | 8.96149e9 | − | 1.12374e10i | 1.12738 | − | 1.41369i | ||||
\(675\) | −3.66754e9 | − | 1.76619e9i | −0.458999 | − | 0.221042i | ||||
\(676\) | −5.40780e9 | + | 6.78117e9i | −0.673298 | + | 0.844289i | ||||
\(677\) | 3.41048e8 | − | 1.49423e9i | 0.0422430 | − | 0.185079i | −0.949405 | − | 0.314056i | \(-0.898312\pi\) |
0.991648 | + | 0.128977i | \(0.0411693\pi\) | |||||||
\(678\) | −2.71534e10 | + | 1.30764e10i | −3.34596 | + | 1.61133i | ||||
\(679\) | −8.68656e8 | + | 3.80583e9i | −0.106489 | + | 0.466558i | ||||
\(680\) | −4.45945e9 | − | 2.14756e9i | −0.543876 | − | 0.261917i | ||||
\(681\) | 4.52575e9 | 0.549131 | ||||||||
\(682\) | −2.30229e10 | −2.77916 | ||||||||
\(683\) | −8.15773e9 | − | 3.92856e9i | −0.979708 | − | 0.471803i | −0.125704 | − | 0.992068i | \(-0.540119\pi\) |
−0.854005 | + | 0.520265i | \(0.825833\pi\) | |||||||
\(684\) | −5.82058e9 | − | 2.55016e10i | −0.695456 | − | 3.04699i | ||||
\(685\) | 1.82729e9 | + | 2.29135e9i | 0.217216 | + | 0.272380i | ||||
\(686\) | 4.44884e9 | − | 5.57866e9i | 0.526153 | − | 0.659775i | ||||
\(687\) | 1.58803e10 | 1.86857 | ||||||||
\(688\) | −2.66346e9 | + | 2.38405e9i | −0.311808 | + | 0.279097i | ||||
\(689\) | −4.29023e9 | −0.499705 | ||||||||
\(690\) | 6.31067e9 | − | 7.91333e9i | 0.731314 | − | 0.917038i | ||||
\(691\) | −6.73989e8 | − | 8.45156e8i | −0.0777105 | − | 0.0974459i | 0.741457 | − | 0.671001i | \(-0.234135\pi\) |
−0.819167 | + | 0.573555i | \(0.805564\pi\) | |||||||
\(692\) | −1.93342e9 | − | 8.47086e9i | −0.221796 | − | 0.971753i | ||||
\(693\) | −5.14130e9 | − | 2.47592e9i | −0.586822 | − | 0.282599i | ||||
\(694\) | −2.76280e9 | −0.313756 | ||||||||
\(695\) | 8.44220e9 | 0.953913 | ||||||||
\(696\) | 1.43720e9 | + | 6.92119e8i | 0.161579 | + | 0.0778123i | ||||
\(697\) | −2.74085e9 | + | 1.20085e10i | −0.306599 | + | 1.34330i | ||||
\(698\) | −7.77677e9 | + | 3.74510e9i | −0.865576 | + | 0.416840i | ||||
\(699\) | 2.42627e9 | − | 1.06302e10i | 0.268701 | − | 1.17725i | ||||
\(700\) | 1.16609e9 | − | 1.46223e9i | 0.128496 | − | 0.161129i | ||||
\(701\) | −7.71945e9 | − | 3.71749e9i | −0.846395 | − | 0.407603i | −0.0401570 | − | 0.999193i | \(-0.512786\pi\) |
−0.806238 | + | 0.591591i | \(0.798500\pi\) | |||||||
\(702\) | 4.25128e9 | − | 5.33094e9i | 0.463810 | − | 0.581600i | ||||
\(703\) | −4.08540e9 | − | 1.78993e10i | −0.443497 | − | 1.94309i | ||||
\(704\) | 1.88727e10 | − | 9.08862e9i | 2.03859 | − | 0.981734i | ||||
\(705\) | −2.24564e10 | + | 1.08144e10i | −2.41367 | + | 1.16236i | ||||
\(706\) | −1.18256e10 | − | 1.48288e10i | −1.26475 | − | 1.58595i | ||||
\(707\) | 6.38393e8 | + | 2.79698e9i | 0.0679391 | + | 0.297661i | ||||
\(708\) | 2.33882e9 | − | 1.02470e10i | 0.247674 | − | 1.08513i | ||||
\(709\) | −9.07992e8 | − | 1.13859e9i | −0.0956798 | − | 0.119979i | 0.731687 | − | 0.681641i | \(-0.238733\pi\) |
−0.827367 | + | 0.561662i | \(0.810162\pi\) | |||||||
\(710\) | 1.52554e10 | + | 1.91296e10i | 1.59963 | + | 2.00587i | ||||
\(711\) | −6.01031e9 | + | 2.63329e10i | −0.627123 | + | 2.74761i | ||||
\(712\) | 2.27589e9 | + | 9.97131e9i | 0.236304 | + | 1.03531i | ||||
\(713\) | 2.87036e9 | + | 3.59932e9i | 0.296567 | + | 0.371883i | ||||
\(714\) | 4.77103e9 | − | 2.29761e9i | 0.490533 | − | 0.236228i | ||||
\(715\) | −7.50862e9 | + | 3.61596e9i | −0.768226 | + | 0.369958i | ||||
\(716\) | 2.07907e8 | + | 9.10901e8i | 0.0211677 | + | 0.0927418i | ||||
\(717\) | −4.90392e9 | + | 6.14933e9i | −0.496852 | + | 0.623032i | ||||
\(718\) | 2.27148e10 | + | 1.09389e10i | 2.29020 | + | 1.10290i | ||||
\(719\) | −8.98965e8 | + | 1.12727e9i | −0.0901969 | + | 0.113103i | −0.824882 | − | 0.565305i | \(-0.808759\pi\) |
0.734685 | + | 0.678408i | \(0.237330\pi\) | |||||||
\(720\) | −1.85006e9 | + | 8.10564e9i | −0.184723 | + | 0.809326i | ||||
\(721\) | 5.98572e8 | − | 2.88257e8i | 0.0594762 | − | 0.0286422i | ||||
\(722\) | 3.10127e9 | − | 1.35876e10i | 0.306662 | − | 1.34357i | ||||
\(723\) | 1.54749e10 | + | 7.45234e9i | 1.52281 | + | 0.733345i | ||||
\(724\) | 6.59879e9 | 0.646218 | ||||||||
\(725\) | 9.18157e8 | 0.0894817 | ||||||||
\(726\) | 2.42417e10 | + | 1.16742e10i | 2.35117 | + | 1.13226i | ||||
\(727\) | −4.18579e9 | − | 1.83391e10i | −0.404024 | − | 1.77014i | −0.610830 | − | 0.791762i | \(-0.709164\pi\) |
0.206806 | − | 0.978382i | \(-0.433693\pi\) | |||||||
\(728\) | 5.69814e8 | + | 7.14524e8i | 0.0547360 | + | 0.0686368i | ||||
\(729\) | −1.05687e10 | + | 1.32527e10i | −1.01036 | + | 1.26695i | ||||
\(730\) | 2.59161e10 | 2.46570 | ||||||||
\(731\) | 6.03195e9 | − | 5.39916e9i | 0.571146 | − | 0.511229i | ||||
\(732\) | 8.45991e9 | 0.797218 | ||||||||
\(733\) | −1.39619e9 | + | 1.75077e9i | −0.130942 | + | 0.164197i | −0.842980 | − | 0.537945i | \(-0.819201\pi\) |
0.712038 | + | 0.702141i | \(0.247772\pi\) | |||||||
\(734\) | 1.53358e10 | + | 1.92305e10i | 1.43143 | + | 1.79496i | ||||
\(735\) | −4.38384e9 | − | 1.92069e10i | −0.407239 | − | 1.78423i | ||||
\(736\) | −4.77068e9 | − | 2.29744e9i | −0.441070 | − | 0.212408i | ||||
\(737\) | −5.99450e9 | −0.551590 | ||||||||
\(738\) | −4.91155e10 | −4.49802 | ||||||||
\(739\) | −3.47411e9 | − | 1.67304e9i | −0.316656 | − | 0.152494i | 0.268804 | − | 0.963195i | \(-0.413372\pi\) |
−0.585460 | + | 0.810701i | \(0.699086\pi\) | |||||||
\(740\) | 6.18562e9 | − | 2.71010e10i | 0.561142 | − | 2.45852i | ||||
\(741\) | 1.07423e10 | − | 5.17322e9i | 0.969914 | − | 0.467086i | ||||
\(742\) | 1.12159e9 | − | 4.91402e9i | 0.100791 | − | 0.441595i | ||||
\(743\) | −3.01425e9 | + | 3.77975e9i | −0.269599 | + | 0.338067i | −0.898140 | − | 0.439710i | \(-0.855081\pi\) |
0.628541 | + | 0.777777i | \(0.283653\pi\) | |||||||
\(744\) | 1.31078e10 | + | 6.31237e9i | 1.16687 | + | 0.561936i | ||||
\(745\) | −6.70332e9 | + | 8.40570e9i | −0.593941 | + | 0.744778i | ||||
\(746\) | 6.29388e9 | + | 2.75753e10i | 0.555051 | + | 2.43184i | ||||
\(747\) | 1.75167e10 | − | 8.43562e9i | 1.53756 | − | 0.740448i | ||||
\(748\) | −1.59400e10 | + | 7.67632e9i | −1.39262 | + | 0.670652i | ||||
\(749\) | −1.26671e8 | − | 1.58841e8i | −0.0110152 | − | 0.0138126i | ||||
\(750\) | 3.84659e9 | + | 1.68530e10i | 0.332937 | + | 1.45869i | ||||
\(751\) | −6.54880e8 | + | 2.86922e9i | −0.0564186 | + | 0.247186i | −0.995271 | − | 0.0971327i | \(-0.969033\pi\) |
0.938853 | + | 0.344319i | \(0.111890\pi\) | |||||||
\(752\) | 4.09720e9 | + | 5.13773e9i | 0.351338 | + | 0.440563i | ||||
\(753\) | −1.31092e10 | − | 1.64384e10i | −1.11891 | − | 1.40307i | ||||
\(754\) | −3.42227e8 | + | 1.49939e9i | −0.0290746 | + | 0.127384i | ||||
\(755\) | −3.71442e9 | − | 1.62739e10i | −0.314106 | − | 1.37619i | ||||
\(756\) | 2.92379e9 | + | 3.66632e9i | 0.246105 | + | 0.308606i | ||||
\(757\) | 2.59289e9 | − | 1.24867e9i | 0.217244 | − | 0.104619i | −0.322097 | − | 0.946707i | \(-0.604388\pi\) |
0.539341 | + | 0.842087i | \(0.318673\pi\) | |||||||
\(758\) | 6.17596e9 | − | 2.97419e9i | 0.515065 | − | 0.248042i | ||||
\(759\) | −2.34855e9 | − | 1.02897e10i | −0.194963 | − | 0.854190i | ||||
\(760\) | 8.16338e9 | − | 1.02366e10i | 0.674563 | − | 0.845875i | ||||
\(761\) | 2.53503e6 | + | 1.22081e6i | 0.000208515 | + | 0.000100416i | 0.433988 | − | 0.900919i | \(-0.357106\pi\) |
−0.433779 | + | 0.901019i | \(0.642820\pi\) | |||||||
\(762\) | −8.75677e9 | + | 1.09806e10i | −0.716971 | + | 0.899053i | ||||
\(763\) | −8.71553e8 | + | 3.81852e9i | −0.0710327 | + | 0.311214i | ||||
\(764\) | −5.39942e9 | + | 2.60022e9i | −0.438047 | + | 0.210952i | ||||
\(765\) | 4.18983e9 | − | 1.83569e10i | 0.338362 | − | 1.48246i | ||||
\(766\) | 1.96286e10 | + | 9.45262e9i | 1.57793 | + | 0.759892i | ||||
\(767\) | 2.95621e9 | 0.236565 | ||||||||
\(768\) | −4.74782e9 | −0.378207 | ||||||||
\(769\) | 1.24865e10 | + | 6.01320e9i | 0.990147 | + | 0.476830i | 0.857584 | − | 0.514345i | \(-0.171965\pi\) |
0.132564 | + | 0.991174i | \(0.457679\pi\) | |||||||
\(770\) | −2.17874e9 | − | 9.54568e9i | −0.171984 | − | 0.753511i | ||||
\(771\) | 9.19940e9 | + | 1.15357e10i | 0.722885 | + | 0.906469i | ||||
\(772\) | −8.97670e9 | + | 1.12564e10i | −0.702193 | + | 0.880522i | ||||
\(773\) | −4.46274e9 | −0.347515 | −0.173757 | − | 0.984788i | \(-0.555591\pi\) | ||||
−0.173757 | + | 0.984788i | \(0.555591\pi\) | |||||||
\(774\) | 2.63417e10 | + | 1.86588e10i | 2.04198 | + | 1.44641i | ||||
\(775\) | 8.37392e9 | 0.646209 | ||||||||
\(776\) | −8.77812e9 | + | 1.10074e10i | −0.674350 | + | 0.845608i | ||||
\(777\) | 5.40937e9 | + | 6.78314e9i | 0.413688 | + | 0.518749i | ||||
\(778\) | 4.69407e9 | + | 2.05661e10i | 0.357372 | + | 1.56575i | ||||
\(779\) | −2.93558e10 | − | 1.41370e10i | −2.22491 | − | 1.07146i | ||||
\(780\) | 1.80524e10 | 1.36209 | ||||||||
\(781\) | 2.55138e10 | 1.91645 | ||||||||
\(782\) | 5.44496e9 | + | 2.62216e9i | 0.407166 | + | 0.196081i | ||||
\(783\) | −5.12273e8 | + | 2.24441e9i | −0.0381360 | + | 0.167085i | ||||
\(784\) | −4.67974e9 | + | 2.25364e9i | −0.346829 | + | 0.167024i | ||||
\(785\) | −1.63560e9 | + | 7.16604e9i | −0.120680 | + | 0.528732i | ||||
\(786\) | 3.10809e9 | − | 3.89742e9i | 0.228304 | − | 0.286285i | ||||
\(787\) | 2.05696e10 | + | 9.90581e9i | 1.50423 | + | 0.724400i | 0.991001 | − | 0.133852i | \(-0.0427345\pi\) |
0.513230 | + | 0.858251i | \(0.328449\pi\) | |||||||
\(788\) | 4.13622e9 | − | 5.18666e9i | 0.301135 | − | 0.377612i | ||||
\(789\) | −7.10203e9 | − | 3.11160e10i | −0.514769 | − | 2.25535i | ||||
\(790\) | −4.17549e10 | + | 2.01081e10i | −3.01309 | + | 1.45103i | ||||
\(791\) | 5.25244e9 | − | 2.52944e9i | 0.377349 | − | 0.181722i | ||||
\(792\) | −1.28318e10 | − | 1.60905e10i | −0.917802 | − | 1.15089i | ||||
\(793\) | 5.29476e8 | + | 2.31979e9i | 0.0377042 | + | 0.165193i | ||||
\(794\) | −6.31848e9 | + | 2.76831e10i | −0.447962 | + | 1.96265i | ||||
\(795\) | −1.81092e10 | − | 2.27083e10i | −1.27825 | − | 1.60287i | ||||
\(796\) | 9.82945e9 | + | 1.23257e10i | 0.690770 | + | 0.866198i | ||||
\(797\) | −3.15616e8 | + | 1.38280e9i | −0.0220828 | + | 0.0967512i | −0.984768 | − | 0.173871i | \(-0.944372\pi\) |
0.962686 | + | 0.270622i | \(0.0872295\pi\) | |||||||
\(798\) | 3.11704e9 | + | 1.36566e10i | 0.217136 | + | 0.951336i | ||||
\(799\) | −9.27894e9 | − | 1.16354e10i | −0.643554 | − | 0.806991i | ||||
\(800\) | −8.67764e9 | + | 4.17893e9i | −0.599220 | + | 0.288569i | ||||
\(801\) | −3.50545e10 | + | 1.68814e10i | −2.41007 | + | 1.16063i | ||||
\(802\) | −7.53273e9 | − | 3.30031e10i | −0.515635 | − | 2.25914i | ||||
\(803\) | 1.68493e10 | − | 2.11283e10i | 1.14836 | − | 1.43999i | ||||
\(804\) | 1.16990e10 | + | 5.63394e9i | 0.793875 | + | 0.382310i | ||||
\(805\) | −1.22071e9 | + | 1.53072e9i | −0.0824757 | + | 0.103421i | ||||
\(806\) | −3.12123e9 | + | 1.36750e10i | −0.209968 | + | 0.919930i | ||||
\(807\) | 1.26108e10 | − | 6.07306e9i | 0.844669 | − | 0.406771i | ||||
\(808\) | −2.30241e9 | + | 1.00875e10i | −0.153548 | + | 0.672736i | ||||
\(809\) | −2.27657e9 | − | 1.09634e9i | −0.151169 | − | 0.0727990i | 0.356770 | − | 0.934192i | \(-0.383878\pi\) |
−0.507939 | + | 0.861393i | \(0.669592\pi\) | |||||||
\(810\) | −4.35515e8 | −0.0287943 | ||||||||
\(811\) | 5.66022e9 | 0.372615 | 0.186308 | − | 0.982491i | \(-0.440348\pi\) | ||||
0.186308 | + | 0.982491i | \(0.440348\pi\) | |||||||
\(812\) | −9.52970e8 | − | 4.58926e8i | −0.0624645 | − | 0.0300813i | ||||
\(813\) | −5.21448e9 | − | 2.28461e10i | −0.340325 | − | 1.49106i | ||||
\(814\) | −3.08732e10 | − | 3.87138e10i | −2.00630 | − | 2.51582i | ||||
\(815\) | −3.31787e9 | + | 4.16047e9i | −0.214688 | + | 0.269210i | ||||
\(816\) | −8.04519e9 | −0.518347 | ||||||||
\(817\) | 1.03736e10 | + | 1.87341e10i | 0.665504 | + | 1.20187i | ||||
\(818\) | 3.14551e10 | 2.00934 | ||||||||
\(819\) | −2.16764e9 | + | 2.71814e9i | −0.137878 | + | 0.172893i | ||||
\(820\) | −3.07583e10 | − | 3.85697e10i | −1.94811 | − | 2.44285i | ||||
\(821\) | −4.66458e9 | − | 2.04369e10i | −0.294179 | − | 1.28888i | −0.878650 | − | 0.477467i | \(-0.841555\pi\) |
0.584471 | − | 0.811415i | \(-0.301302\pi\) | |||||||
\(822\) | −1.01886e10 | − | 4.90657e9i | −0.639828 | − | 0.308125i | ||||
\(823\) | 2.20571e10 | 1.37927 | 0.689635 | − | 0.724158i | \(-0.257771\pi\) | ||||
0.689635 | + | 0.724158i | \(0.257771\pi\) | |||||||
\(824\) | 2.39608e9 | 0.149196 | ||||||||
\(825\) | −1.72966e10 | − | 8.32959e9i | −1.07243 | − | 0.516457i | ||||
\(826\) | −7.72841e8 | + | 3.38604e9i | −0.0477156 | + | 0.209056i | ||||
\(827\) | −1.88420e10 | + | 9.07384e9i | −1.15840 | + | 0.557855i | −0.911546 | − | 0.411198i | \(-0.865111\pi\) |
−0.246853 | + | 0.969053i | \(0.579396\pi\) | |||||||
\(828\) | −3.13908e9 | + | 1.37532e10i | −0.192175 | + | 0.841972i | ||||
\(829\) | −1.64769e10 | + | 2.06613e10i | −1.00446 | + | 1.25956i | −0.0389389 | + | 0.999242i | \(0.512398\pi\) |
−0.965524 | + | 0.260315i | \(0.916174\pi\) | |||||||
\(830\) | 3.00556e10 | + | 1.44740e10i | 1.82453 | + | 0.878649i | ||||
\(831\) | −2.65032e10 | + | 3.32340e10i | −1.60212 | + | 2.00899i | ||||
\(832\) | −2.83982e9 | − | 1.24421e10i | −0.170946 | − | 0.748964i | ||||
\(833\) | 1.05982e10 | − | 5.10384e9i | 0.635295 | − | 0.305942i | ||||
\(834\) | −2.93489e10 | + | 1.41337e10i | −1.75190 | + | 0.843672i | ||||
\(835\) | 6.02752e9 | + | 7.55827e9i | 0.358291 | + | 0.449283i | ||||
\(836\) | −1.04141e10 | − | 4.56269e10i | −0.616450 | − | 2.70084i | ||||
\(837\) | −4.67211e9 | + | 2.04698e10i | −0.275406 | + | 1.20663i | ||||
\(838\) | −1.21601e10 | − | 1.52483e10i | −0.713812 | − | 0.895092i | ||||
\(839\) | 1.02479e10 | + | 1.28505e10i | 0.599058 | + | 0.751195i | 0.985231 | − | 0.171231i | \(-0.0547745\pi\) |
−0.386173 | + | 0.922427i | \(0.626203\pi\) | |||||||
\(840\) | −1.37678e9 | + | 6.03208e9i | −0.0801471 | + | 0.351147i | ||||
\(841\) | 3.72291e9 | + | 1.63111e10i | 0.215823 | + | 0.945581i | ||||
\(842\) | −1.60283e10 | − | 2.00989e10i | −0.925328 | − | 1.16032i | ||||
\(843\) | 3.39942e10 | − | 1.63707e10i | 1.95438 | − | 0.941178i | ||||
\(844\) | 1.33669e9 | − | 6.43717e8i | 0.0765301 | − | 0.0368550i | ||||
\(845\) | −3.67504e9 | − | 1.61014e10i | −0.209538 | − | 0.918048i | ||||
\(846\) | 3.70001e10 | − | 4.63966e10i | 2.10090 | − | 2.63445i | ||||
\(847\) | −4.68920e9 | − | 2.25820e9i | −0.265159 | − | 0.127694i | ||||
\(848\) | −4.77450e9 | + | 5.98704e9i | −0.268870 | + | 0.337152i | ||||
\(849\) | 1.04750e10 | − | 4.58942e10i | 0.587461 | − | 2.57383i | ||||
\(850\) | 9.90414e9 | − | 4.76958e9i | 0.553160 | − | 0.266388i | ||||
\(851\) | −2.20329e9 | + | 9.65323e9i | −0.122551 | + | 0.536932i | ||||
\(852\) | −4.97933e10 | − | 2.39792e10i | −2.75824 | − | 1.32830i | ||||
\(853\) | 9.17601e9 | 0.506212 | 0.253106 | − | 0.967439i | \(-0.418548\pi\) | ||||
0.253106 | + | 0.967439i | \(0.418548\pi\) | |||||||
\(854\) | −2.79550e9 | −0.153588 | ||||||||
\(855\) | 4.48751e10 | + | 2.16107e10i | 2.45541 | + | 1.18246i | ||||
\(856\) | −1.63048e8 | − | 7.14359e8i | −0.00888498 | − | 0.0389277i | ||||
\(857\) | −6.33271e9 | − | 7.94097e9i | −0.343682 | − | 0.430963i | 0.579710 | − | 0.814823i | \(-0.303166\pi\) |
−0.923391 | + | 0.383860i | \(0.874595\pi\) | |||||||
\(858\) | 2.00496e10 | − | 2.51414e10i | 1.08368 | − | 1.35889i | ||||
\(859\) | 2.25949e10 | 1.21628 | 0.608141 | − | 0.793829i | \(-0.291916\pi\) | ||||
0.608141 | + | 0.793829i | \(0.291916\pi\) | |||||||
\(860\) | 1.84387e9 | + | 3.23707e10i | 0.0988521 | + | 1.73543i | ||||
\(861\) | 1.53971e10 | 0.822104 | ||||||||
\(862\) | 1.96763e10 | − | 2.46733e10i | 1.04633 | − | 1.31205i | ||||
\(863\) | −4.03542e9 | − | 5.06026e9i | −0.213723 | − | 0.268000i | 0.663401 | − | 0.748264i | \(-0.269112\pi\) |
−0.877124 | + | 0.480264i | \(0.840541\pi\) | |||||||
\(864\) | −5.37373e9 | − | 2.35439e10i | −0.283451 | − | 1.24188i | ||||
\(865\) | 1.49061e10 | + | 7.17841e9i | 0.783084 | + | 0.377113i | ||||
\(866\) | 3.86731e10 | 2.02347 | ||||||||
\(867\) | −1.27894e10 | −0.666476 | ||||||||
\(868\) | −8.69143e9 | − | 4.18557e9i | −0.451099 | − | 0.217238i | ||||
\(869\) | −1.07535e10 | + | 4.71142e10i | −0.555880 | + | 2.43547i | ||||
\(870\) | −9.38087e9 | + | 4.51759e9i | −0.482976 | + | 0.232589i | ||||
\(871\) | −8.12680e8 | + | 3.56058e9i | −0.0416731 | + | 0.182582i | ||||
\(872\) | −8.80739e9 | + | 1.10441e10i | −0.449821 | + | 0.564057i | ||||
\(873\) | −4.82543e10 | − | 2.32381e10i | −2.45463 | − | 1.18209i | ||||
\(874\) | −9.96744e9 | + | 1.24988e10i | −0.505003 | + | 0.633253i | ||||
\(875\) | −7.44068e8 | − | 3.25998e9i | −0.0375478 | − | 0.164508i | ||||
\(876\) | −5.27409e10 | + | 2.53987e10i | −2.65084 | + | 1.27658i | ||||
\(877\) | −1.79666e10 | + | 8.65228e9i | −0.899432 | + | 0.433143i | −0.825684 | − | 0.564133i | \(-0.809210\pi\) |
−0.0737481 | + | 0.997277i | \(0.523496\pi\) | |||||||
\(878\) | 2.60871e10 | + | 3.27121e10i | 1.30075 | + | 1.63109i | ||||
\(879\) | 4.95497e9 | + | 2.17091e10i | 0.246082 | + | 1.07816i | ||||
\(880\) | −3.31009e9 | + | 1.45024e10i | −0.163738 | + | 0.717384i | ||||
\(881\) | 1.05704e10 | + | 1.32548e10i | 0.520804 | + | 0.653067i | 0.970779 | − | 0.239974i | \(-0.0771388\pi\) |
−0.449976 | + | 0.893041i | \(0.648567\pi\) | |||||||
\(882\) | 2.92453e10 | + | 3.66725e10i | 1.43521 | + | 1.79970i | ||||
\(883\) | 5.69528e9 | − | 2.49527e10i | 0.278390 | − | 1.21970i | −0.621440 | − | 0.783462i | \(-0.713452\pi\) |
0.899829 | − | 0.436242i | \(-0.143691\pi\) | |||||||
\(884\) | 2.39853e9 | + | 1.05087e10i | 0.116779 | + | 0.511640i | ||||
\(885\) | 1.24783e10 | + | 1.56473e10i | 0.605136 | + | 0.758817i | ||||
\(886\) | −4.29791e10 | + | 2.06977e10i | −2.07606 | + | 0.999777i | ||||
\(887\) | 2.33041e10 | − | 1.12226e10i | 1.12124 | − | 0.539961i | 0.220965 | − | 0.975282i | \(-0.429079\pi\) |
0.900276 | + | 0.435321i | \(0.143365\pi\) | |||||||
\(888\) | 6.96279e9 | + | 3.05060e10i | 0.333686 | + | 1.46197i | ||||
\(889\) | 1.69387e9 | − | 2.12405e9i | 0.0808582 | − | 0.101393i | ||||
\(890\) | −6.01472e10 | − | 2.89654e10i | −2.85990 | − | 1.37725i | ||||
\(891\) | −2.83149e8 | + | 3.55058e8i | −0.0134104 | + | 0.0168162i | ||||
\(892\) | 9.55415e9 | − | 4.18595e10i | 0.450728 | − | 1.97477i | ||||
\(893\) | 3.54689e10 | − | 1.70809e10i | 1.66674 | − | 0.802660i | ||||
\(894\) | 9.23118e9 | − | 4.04445e10i | 0.432092 | − | 1.89312i | ||||
\(895\) | −1.60291e9 | − | 7.71920e8i | −0.0747357 | − | 0.0359908i | ||||
\(896\) | 7.13494e9 | 0.331369 | ||||||||
\(897\) | −6.43019e9 | −0.297475 | ||||||||
\(898\) | 4.09368e10 | + | 1.97141e10i | 1.88646 | + | 0.908469i | ||||
\(899\) | −1.05382e9 | − | 4.61707e9i | −0.0483734 | − | 0.211938i | ||||
\(900\) | 1.59986e10 | + | 2.00616e10i | 0.731533 | + | 0.917313i | ||||
\(901\) | 1.08128e10 | − | 1.35589e10i | 0.492496 | − | 0.617570i | ||||
\(902\) | −8.78765e10 | −3.98703 | ||||||||
\(903\) | −8.25778e9 | − | 5.84929e9i | −0.373213 | − | 0.264360i | ||||
\(904\) | 2.10255e10 | 0.946578 | ||||||||
\(905\) | −7.83418e9 | + | 9.82375e9i | −0.351337 | + | 0.440562i | ||||
\(906\) | 4.01583e10 | + | 5.03569e10i | 1.79402 | + | 2.24963i | ||||
\(907\) | 1.03488e9 | + | 4.53409e9i | 0.0460535 | + | 0.201774i | 0.992721 | − | 0.120440i | \(-0.0384304\pi\) |
−0.946667 | + | 0.322213i | \(0.895573\pi\) | |||||||
\(908\) | −9.75120e9 | − | 4.69593e9i | −0.432272 | − | 0.208171i | ||||
\(909\) | −3.93610e10 | −1.73817 | ||||||||
\(910\) | −5.96527e9 | −0.262413 | ||||||||
\(911\) | −3.59860e10 | − | 1.73300e10i | −1.57696 | − | 0.759422i | −0.578538 | − | 0.815655i | \(-0.696377\pi\) |
−0.998418 | + | 0.0562334i | \(0.982091\pi\) | |||||||
\(912\) | 4.73561e9 | − | 2.07481e10i | 0.206726 | − | 0.905724i | ||||
\(913\) | 3.13406e10 | − | 1.50928e10i | 1.36289 | − | 0.656331i | ||||
\(914\) | −8.33808e9 | + | 3.65315e10i | −0.361206 | + | 1.58254i | ||||
\(915\) | −1.00437e10 | + | 1.25944e10i | −0.433432 | + | 0.543507i | ||||
\(916\) | −3.42157e10 | − | 1.64774e10i | −1.47093 | − | 0.708362i | ||||
\(917\) | −6.01214e8 | + | 7.53899e8i | −0.0257476 | + | 0.0322865i | ||||
\(918\) | 6.13326e9 | + | 2.68716e10i | 0.261663 | + | 1.14642i | ||||
\(919\) | 2.58259e10 | − | 1.24371e10i | 1.09762 | − | 0.528586i | 0.204710 | − | 0.978823i | \(-0.434375\pi\) |
0.892909 | + | 0.450237i | \(0.148660\pi\) | |||||||
\(920\) | −6.36190e9 | + | 3.06373e9i | −0.269358 | + | 0.129716i | ||||
\(921\) | 2.16339e10 | + | 2.71280e10i | 0.912484 | + | 1.14422i | ||||
\(922\) | 2.96373e9 | + | 1.29849e10i | 0.124532 | + | 0.545609i | ||||
\(923\) | 3.45893e9 | − | 1.51546e10i | 0.144789 | − | 0.634363i | ||||
\(924\) | 1.37890e10 | + | 1.72908e10i | 0.575016 | + | 0.721047i | ||||
\(925\) | 1.12293e10 | + | 1.40811e10i | 0.466504 | + | 0.584977i | ||||
\(926\) | 3.34492e9 | − | 1.46551e10i | 0.138436 | − | 0.606526i | ||||
\(927\) | 2.02828e9 | + | 8.88646e9i | 0.0836273 | + | 0.366395i | ||||
\(928\) | 3.39615e9 | + | 4.25864e9i | 0.139498 | + | 0.174925i | ||||
\(929\) | −3.04160e10 | + | 1.46476e10i | −1.24465 | + | 0.599392i | −0.936072 | − | 0.351808i | \(-0.885567\pi\) |
−0.308577 | + | 0.951199i | \(0.599853\pi\) | |||||||
\(930\) | −8.55569e10 | + | 4.12020e10i | −3.48791 | + | 1.67969i | ||||
\(931\) | 6.92410e9 | + | 3.03365e10i | 0.281216 | + | 1.23209i | ||||
\(932\) | −1.62575e10 | + | 2.03863e10i | −0.657808 | + | 0.824865i | ||||
\(933\) | 1.02564e10 | + | 4.93921e9i | 0.413436 | + | 0.199100i | ||||
\(934\) | 2.36032e10 | − | 2.95975e10i | 0.947888 | − | 1.18861i | ||||
\(935\) | 7.49636e9 | − | 3.28437e10i | 0.299923 | − | 1.31405i | ||||
\(936\) | −1.12970e10 | + | 5.44035e9i | −0.450295 | + | 0.216851i | ||||
\(937\) | 9.83650e8 | − | 4.30965e9i | 0.0390618 | − | 0.171141i | −0.951634 | − | 0.307233i | \(-0.900597\pi\) |
0.990696 | + | 0.136092i | \(0.0434542\pi\) | |||||||
\(938\) | −3.86583e9 | − | 1.86168e9i | −0.152944 | − | 0.0736540i | ||||
\(939\) | 4.64064e10 | 1.82915 | ||||||||
\(940\) | 5.96056e10 | 2.34067 | ||||||||
\(941\) | −2.23697e10 | − | 1.07727e10i | −0.875176 | − | 0.421463i | −0.0583159 | − | 0.998298i | \(-0.518573\pi\) |
−0.816860 | + | 0.576836i | \(0.804287\pi\) | |||||||
\(942\) | −6.31107e9 | − | 2.76506e10i | −0.245994 | − | 1.07777i | ||||
\(943\) | 1.09559e10 | + | 1.37383e10i | 0.425460 | + | 0.533510i | ||||
\(944\) | 3.28990e9 | − | 4.12540e9i | 0.127286 | − | 0.159612i | ||||
\(945\) | −8.92930e9 | −0.344196 | ||||||||
\(946\) | 4.71301e10 | + | 3.33840e10i | 1.81000 | + | 1.28209i | ||||
\(947\) | −5.37228e9 | −0.205558 | −0.102779 | − | 0.994704i | \(-0.532773\pi\) | ||||
−0.102779 | + | 0.994704i | \(0.532773\pi\) | |||||||
\(948\) | 6.52672e10 | − | 8.18424e10i | 2.48809 | − | 3.11996i | ||||
\(949\) | −1.02654e10 | − | 1.28724e10i | −0.389893 | − | 0.488910i | ||||
\(950\) | 6.47064e9 | + | 2.83497e10i | 0.244858 | + | 1.07279i | ||||
\(951\) | −5.82431e9 | − | 2.80484e9i | −0.219590 | − | 0.105749i | ||||
\(952\) | −3.69431e9 | −0.138773 | ||||||||
\(953\) | 5.87364e9 | 0.219828 | 0.109914 | − | 0.993941i | \(-0.464943\pi\) | ||||
0.109914 | + | 0.993941i | \(0.464943\pi\) | |||||||
\(954\) | 6.23051e10 | + | 3.00046e10i | 2.32330 | + | 1.11884i | ||||
\(955\) | 2.53927e9 | − | 1.11253e10i | 0.0943402 | − | 0.413331i | ||||
\(956\) | 1.69465e10 | − | 8.16103e9i | 0.627305 | − | 0.302094i | ||||
\(957\) | −2.41594e9 | + | 1.05849e10i | −0.0891035 | + | 0.390388i | ||||
\(958\) | 2.69479e10 | − | 3.37916e10i | 0.990252 | − | 1.24174i | ||||
\(959\) | 1.97084e9 | + | 9.49106e8i | 0.0721582 | + | 0.0347496i | ||||
\(960\) | 5.38691e10 | − | 6.75498e10i | 1.96513 | − | 2.46419i | ||||
\(961\) | −3.48905e9 | − | 1.52865e10i | −0.126817 | − | 0.555620i | ||||
\(962\) | −2.71805e10 | + | 1.30895e10i | −0.984340 | + | 0.474033i | ||||
\(963\) | 2.51136e9 | − | 1.20941e9i | 0.0906184 | − | 0.0436395i | ||||
\(964\) | −2.56098e10 | − | 3.21136e10i | −0.920738 | − | 1.15457i | ||||
\(965\) | −6.10040e9 | − | 2.67276e10i | −0.218531 | − | 0.957447i | ||||
\(966\) | 1.68104e9 | − | 7.36513e9i | 0.0600011 | − | 0.262882i | ||||
\(967\) | 3.35611e8 | + | 4.20843e8i | 0.0119356 | + | 0.0149668i | 0.787763 | − | 0.615978i | \(-0.211239\pi\) |
−0.775828 | + | 0.630945i | \(0.782668\pi\) | |||||||
\(968\) | −1.17034e10 | − | 1.46756e10i | −0.414714 | − | 0.520035i | ||||
\(969\) | −1.07248e10 | + | 4.69882e10i | −0.378664 | + | 1.65904i | ||||
\(970\) | −2.04489e10 | − | 8.95923e10i | −0.719396 | − | 3.15188i | ||||
\(971\) | −1.97732e10 | − | 2.47949e10i | −0.693123 | − | 0.869149i | 0.303366 | − | 0.952874i | \(-0.401890\pi\) |
−0.996489 | + | 0.0837253i | \(0.973318\pi\) | |||||||
\(972\) | 3.68617e10 | − | 1.77517e10i | 1.28749 | − | 0.620022i | ||||
\(973\) | 5.67711e9 | − | 2.73395e9i | 0.197575 | − | 0.0951472i | ||||
\(974\) | −2.34545e9 | − | 1.02761e10i | −0.0813337 | − | 0.356346i | ||||
\(975\) | −7.29247e9 | + | 9.14447e9i | −0.251976 | + | 0.315968i | ||||
\(976\) | 3.82651e9 | + | 1.84275e9i | 0.131743 | + | 0.0634443i | ||||
\(977\) | −2.74549e9 | + | 3.44273e9i | −0.0941865 | + | 0.118106i | −0.826691 | − | 0.562656i | \(-0.809780\pi\) |
0.732505 | + | 0.680762i | \(0.238351\pi\) | |||||||
\(978\) | 4.56905e9 | − | 2.00183e10i | 0.156185 | − | 0.684292i | ||||
\(979\) | −6.27188e10 | + | 3.02038e10i | −2.13628 | + | 1.02878i | ||||
\(980\) | −1.04836e10 | + | 4.59318e10i | −0.355812 | + | 1.55892i | ||||
\(981\) | −4.84152e10 | − | 2.33156e10i | −1.63735 | − | 0.788504i | ||||
\(982\) | −2.65203e10 | −0.893694 | ||||||||
\(983\) | 2.40417e9 | 0.0807285 | 0.0403643 | − | 0.999185i | \(-0.487148\pi\) | ||||
0.0403643 | + | 0.999185i | \(0.487148\pi\) | |||||||
\(984\) | 5.00313e10 | + | 2.40938e10i | 1.67401 | + | 0.806163i | ||||
\(985\) | 2.81090e9 | + | 1.23154e10i | 0.0937170 | + | 0.410601i | ||||
\(986\) | −3.87616e9 | − | 4.86055e9i | −0.128775 | − | 0.161479i | ||||
\(987\) | −1.15990e10 | + | 1.45447e10i | −0.383982 | + | 0.481499i | ||||
\(988\) | −2.85131e10 | −0.940579 | ||||||||
\(989\) | −6.56777e8 | − | 1.15303e10i | −0.0215889 | − | 0.379012i | ||||
\(990\) | 1.34333e11 | 4.40008 | ||||||||
\(991\) | 1.93073e10 | − | 2.42106e10i | 0.630178 | − | 0.790218i | −0.359558 | − | 0.933123i | \(-0.617073\pi\) |
0.989737 | + | 0.142904i | \(0.0456441\pi\) | |||||||
\(992\) | 3.09741e10 | + | 3.88403e10i | 1.00741 | + | 1.26326i | ||||
\(993\) | −9.34322e9 | − | 4.09353e10i | −0.302813 | − | 1.32671i | ||||
\(994\) | 1.64538e10 | + | 7.92371e9i | 0.531389 | + | 0.255904i | ||||
\(995\) | −3.00193e10 | −0.966094 | ||||||||
\(996\) | −7.53500e10 | −2.41644 | ||||||||
\(997\) | 3.27630e10 | + | 1.57778e10i | 1.04701 | + | 0.504213i | 0.876630 | − | 0.481165i | \(-0.159786\pi\) |
0.170380 | + | 0.985378i | \(0.445501\pi\) | |||||||
\(998\) | −1.22400e9 | + | 5.36271e9i | −0.0389786 | + | 0.170776i | ||||
\(999\) | −4.06860e10 | + | 1.95934e10i | −1.29112 | + | 0.621770i |
(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 | 43.8.e.a.4.3 | ✓ | 144 | |
43.11 | even | 7 | inner | 43.8.e.a.11.3 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.e.a.4.3 | ✓ | 144 | 1.1 | even | 1 | trivial | |
43.8.e.a.11.3 | yes | 144 | 43.11 | even | 7 | inner |