Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(16,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.16");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.9 | ||
Character | \(\chi\) | \(=\) | 91.16 |
Dual form | 91.8.h.a.74.9 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.0124 | −1.59209 | −0.796043 | − | 0.605240i | \(-0.793077\pi\) | ||||
−0.796043 | + | 0.605240i | \(0.793077\pi\) | |||||||
\(3\) | 2.20243 | − | 3.81472i | 0.0470953 | − | 0.0815714i | −0.841517 | − | 0.540231i | \(-0.818337\pi\) |
0.888612 | + | 0.458659i | \(0.151670\pi\) | |||||||
\(4\) | 196.447 | 1.53474 | ||||||||
\(5\) | 111.005 | − | 192.267i | 0.397145 | − | 0.687875i | −0.596228 | − | 0.802815i | \(-0.703334\pi\) |
0.993372 | + | 0.114941i | \(0.0366678\pi\) | |||||||
\(6\) | −39.6710 | + | 68.7122i | −0.0749797 | + | 0.129869i | ||||
\(7\) | −798.622 | − | 430.983i | −0.880031 | − | 0.474917i | ||||
\(8\) | −1232.89 | −0.851351 | ||||||||
\(9\) | 1083.80 | + | 1877.19i | 0.495564 | + | 0.858342i | ||||
\(10\) | −1999.47 | + | 3463.19i | −0.632289 | + | 1.09516i | ||||
\(11\) | −797.940 | + | 1382.07i | −0.180757 | + | 0.313081i | −0.942139 | − | 0.335224i | \(-0.891188\pi\) |
0.761381 | + | 0.648304i | \(0.224521\pi\) | |||||||
\(12\) | 432.660 | − | 749.388i | 0.0722790 | − | 0.125191i | ||||
\(13\) | 7377.37 | + | 2884.95i | 0.931322 | + | 0.364197i | ||||
\(14\) | 14385.1 | + | 7763.05i | 1.40109 | + | 0.756108i | ||||
\(15\) | −488.962 | − | 846.908i | −0.0374073 | − | 0.0647913i | ||||
\(16\) | −2937.89 | −0.179314 | ||||||||
\(17\) | −17576.0 | −0.867658 | −0.433829 | − | 0.900995i | \(-0.642838\pi\) | ||||
−0.433829 | + | 0.900995i | \(0.642838\pi\) | |||||||
\(18\) | −19521.8 | − | 33812.8i | −0.788981 | − | 1.36655i | ||||
\(19\) | −19154.3 | − | 33176.2i | −0.640662 | − | 1.10966i | −0.985285 | − | 0.170918i | \(-0.945327\pi\) |
0.344623 | − | 0.938741i | \(-0.388007\pi\) | |||||||
\(20\) | 21806.6 | − | 37770.2i | 0.609514 | − | 1.05571i | ||||
\(21\) | −3402.99 | + | 2097.31i | −0.0801849 | + | 0.0494190i | ||||
\(22\) | 14372.8 | − | 24894.4i | 0.287781 | − | 0.498451i | ||||
\(23\) | −18356.7 | −0.314592 | −0.157296 | − | 0.987552i | \(-0.550278\pi\) | ||||
−0.157296 | + | 0.987552i | \(0.550278\pi\) | |||||||
\(24\) | −2715.35 | + | 4703.12i | −0.0400946 | + | 0.0694459i | ||||
\(25\) | 14418.1 | + | 24973.0i | 0.184552 | + | 0.319654i | ||||
\(26\) | −132884. | − | 51964.9i | −1.48274 | − | 0.579833i | ||||
\(27\) | 19181.4 | 0.187545 | ||||||||
\(28\) | −156887. | − | 84665.2i | −1.35062 | − | 0.728873i | ||||
\(29\) | −51542.4 | − | 89274.1i | −0.392439 | − | 0.679724i | 0.600332 | − | 0.799751i | \(-0.295035\pi\) |
−0.992771 | + | 0.120027i | \(0.961702\pi\) | |||||||
\(30\) | 8807.39 | + | 15254.8i | 0.0595556 | + | 0.103153i | ||||
\(31\) | −6473.60 | − | 11212.6i | −0.0390283 | − | 0.0675991i | 0.845851 | − | 0.533419i | \(-0.179093\pi\) |
−0.884880 | + | 0.465820i | \(0.845760\pi\) | |||||||
\(32\) | 210728. | 1.13684 | ||||||||
\(33\) | 3514.81 | + | 6087.83i | 0.0170256 | + | 0.0294892i | ||||
\(34\) | 316586. | 1.38139 | ||||||||
\(35\) | −171515. | + | 105707.i | −0.676183 | + | 0.416740i | ||||
\(36\) | 212909. | + | 368769.i | 0.760562 | + | 1.31733i | ||||
\(37\) | 84650.2 | 0.274740 | 0.137370 | − | 0.990520i | \(-0.456135\pi\) | ||||
0.137370 | + | 0.990520i | \(0.456135\pi\) | |||||||
\(38\) | 345015. | + | 597584.i | 1.01999 | + | 1.76667i | ||||
\(39\) | 27253.4 | − | 21788.7i | 0.0735689 | − | 0.0588173i | ||||
\(40\) | −136857. | + | 237044.i | −0.338110 | + | 0.585623i | ||||
\(41\) | 70051.3 | + | 121332.i | 0.158735 | + | 0.274937i | 0.934413 | − | 0.356192i | \(-0.115925\pi\) |
−0.775678 | + | 0.631129i | \(0.782592\pi\) | |||||||
\(42\) | 61295.9 | − | 37777.5i | 0.127661 | − | 0.0786794i | ||||
\(43\) | −364236. | + | 630875.i | −0.698624 | + | 1.21005i | 0.270320 | + | 0.962771i | \(0.412871\pi\) |
−0.968944 | + | 0.247281i | \(0.920463\pi\) | |||||||
\(44\) | −156753. | + | 271503.i | −0.277415 | + | 0.480497i | ||||
\(45\) | 481230. | 0.787242 | ||||||||
\(46\) | 330649. | 0.500858 | ||||||||
\(47\) | 23191.6 | − | 40169.0i | 0.0325827 | − | 0.0564350i | −0.849274 | − | 0.527952i | \(-0.822960\pi\) |
0.881857 | + | 0.471517i | \(0.156293\pi\) | |||||||
\(48\) | −6470.49 | + | 11207.2i | −0.00844486 | + | 0.0146269i | ||||
\(49\) | 452050. | + | 688385.i | 0.548908 | + | 0.835882i | ||||
\(50\) | −259705. | − | 449823.i | −0.293823 | − | 0.508917i | ||||
\(51\) | −38709.9 | + | 67047.5i | −0.0408626 | + | 0.0707761i | ||||
\(52\) | 1.44926e6 | + | 566739.i | 1.42934 | + | 0.558948i | ||||
\(53\) | 640099. | + | 1.10868e6i | 0.590584 | + | 1.02292i | 0.994154 | + | 0.107972i | \(0.0344358\pi\) |
−0.403570 | + | 0.914949i | \(0.632231\pi\) | |||||||
\(54\) | −345503. | −0.298589 | ||||||||
\(55\) | 177151. | + | 306835.i | 0.143574 | + | 0.248677i | ||||
\(56\) | 984611. | + | 531354.i | 0.749215 | + | 0.404321i | ||||
\(57\) | −168744. | −0.120689 | ||||||||
\(58\) | 928403. | + | 1.60804e6i | 0.624797 | + | 1.08218i | ||||
\(59\) | −105425. | −0.0668282 | −0.0334141 | − | 0.999442i | \(-0.510638\pi\) | ||||
−0.0334141 | + | 0.999442i | \(0.510638\pi\) | |||||||
\(60\) | −96055.0 | − | 166372.i | −0.0574104 | − | 0.0994377i | ||||
\(61\) | 552960. | + | 957755.i | 0.311917 | + | 0.540256i | 0.978777 | − | 0.204926i | \(-0.0656955\pi\) |
−0.666860 | + | 0.745183i | \(0.732362\pi\) | |||||||
\(62\) | 116605. | + | 201966.i | 0.0621365 | + | 0.107624i | ||||
\(63\) | −56505.4 | − | 1.96627e6i | −0.0284707 | − | 0.990719i | ||||
\(64\) | −3.41967e6 | −1.63063 | ||||||||
\(65\) | 1.37361e6 | − | 1.09818e6i | 0.620392 | − | 0.495994i | ||||
\(66\) | −63310.1 | − | 109656.i | −0.0271063 | − | 0.0469494i | ||||
\(67\) | −1.56688e6 | + | 2.71392e6i | −0.636465 | + | 1.10239i | 0.349738 | + | 0.936848i | \(0.386271\pi\) |
−0.986203 | + | 0.165542i | \(0.947063\pi\) | |||||||
\(68\) | −3.45275e6 | −1.33163 | ||||||||
\(69\) | −40429.3 | + | 70025.7i | −0.0148158 | + | 0.0256617i | ||||
\(70\) | 3.08940e6 | − | 1.90404e6i | 1.07654 | − | 0.663487i | ||||
\(71\) | 30963.0 | − | 53629.5i | 0.0102669 | − | 0.0177828i | −0.860846 | − | 0.508865i | \(-0.830065\pi\) |
0.871113 | + | 0.491082i | \(0.163399\pi\) | |||||||
\(72\) | −1.33620e6 | − | 2.31437e6i | −0.421899 | − | 0.730751i | ||||
\(73\) | 2.24168e6 | + | 3.88271e6i | 0.674441 | + | 1.16817i | 0.976632 | + | 0.214919i | \(0.0689486\pi\) |
−0.302191 | + | 0.953247i | \(0.597718\pi\) | |||||||
\(74\) | −1.52475e6 | −0.437410 | ||||||||
\(75\) | 127020. | 0.0347662 | ||||||||
\(76\) | −3.76280e6 | − | 6.51736e6i | −0.983249 | − | 1.70304i | ||||
\(77\) | 1.23290e6 | − | 759854.i | 0.307759 | − | 0.189676i | ||||
\(78\) | −490899. | + | 392466.i | −0.117128 | + | 0.0936422i | ||||
\(79\) | 2.28994e6 | − | 3.96629e6i | 0.522552 | − | 0.905087i | −0.477104 | − | 0.878847i | \(-0.658313\pi\) |
0.999656 | − | 0.0262395i | \(-0.00835326\pi\) | |||||||
\(80\) | −326121. | + | 564858.i | −0.0712138 | + | 0.123346i | ||||
\(81\) | −2.32802e6 | + | 4.03225e6i | −0.486732 | + | 0.843044i | ||||
\(82\) | −1.26179e6 | − | 2.18549e6i | −0.252720 | − | 0.437724i | ||||
\(83\) | 6.30798e6 | 1.21092 | 0.605462 | − | 0.795874i | \(-0.292988\pi\) | ||||
0.605462 | + | 0.795874i | \(0.292988\pi\) | |||||||
\(84\) | −668505. | + | 412009.i | −0.123063 | + | 0.0758453i | ||||
\(85\) | −1.95103e6 | + | 3.37928e6i | −0.344586 | + | 0.596840i | ||||
\(86\) | 6.56077e6 | − | 1.13636e7i | 1.11227 | − | 1.92651i | ||||
\(87\) | −454074. | −0.0739280 | ||||||||
\(88\) | 983770. | − | 1.70394e6i | 0.153888 | − | 0.266542i | ||||
\(89\) | 4.06406e6 | 0.611076 | 0.305538 | − | 0.952180i | \(-0.401164\pi\) | ||||
0.305538 | + | 0.952180i | \(0.401164\pi\) | |||||||
\(90\) | −8.66810e6 | −1.25336 | ||||||||
\(91\) | −4.64836e6 | − | 5.48351e6i | −0.646629 | − | 0.762805i | ||||
\(92\) | −3.60612e6 | −0.482817 | ||||||||
\(93\) | −57030.6 | −0.00735220 | ||||||||
\(94\) | −417736. | + | 723540.i | −0.0518746 | + | 0.0898494i | ||||
\(95\) | −8.50492e6 | −1.01774 | ||||||||
\(96\) | 464114. | − | 803868.i | 0.0535396 | − | 0.0927333i | ||||
\(97\) | 14469.3 | − | 25061.5i | 0.00160970 | − | 0.00278809i | −0.865219 | − | 0.501393i | \(-0.832821\pi\) |
0.866829 | + | 0.498605i | \(0.166154\pi\) | |||||||
\(98\) | −8.14250e6 | − | 1.23995e7i | −0.873910 | − | 1.33080i | ||||
\(99\) | −3.45922e6 | −0.358307 | ||||||||
\(100\) | 2.83240e6 | + | 4.90585e6i | 0.283240 | + | 0.490585i | ||||
\(101\) | 8.91117e6 | − | 1.54346e7i | 0.860617 | − | 1.49063i | −0.0107171 | − | 0.999943i | \(-0.503411\pi\) |
0.871334 | − | 0.490690i | \(-0.163255\pi\) | |||||||
\(102\) | 697258. | − | 1.20769e6i | 0.0650568 | − | 0.112682i | ||||
\(103\) | −7.29444e6 | + | 1.26343e7i | −0.657751 | + | 1.13926i | 0.323445 | + | 0.946247i | \(0.395159\pi\) |
−0.981196 | + | 0.193012i | \(0.938174\pi\) | |||||||
\(104\) | −9.09547e6 | − | 3.55682e6i | −0.792882 | − | 0.310060i | ||||
\(105\) | 25492.8 | + | 887093.i | 0.00214909 | + | 0.0747837i | ||||
\(106\) | −1.15297e7 | − | 1.99701e7i | −0.940260 | − | 1.62858i | ||||
\(107\) | 1.29583e7 | 1.02260 | 0.511301 | − | 0.859402i | \(-0.329164\pi\) | ||||
0.511301 | + | 0.859402i | \(0.329164\pi\) | |||||||
\(108\) | 3.76812e6 | 0.287833 | ||||||||
\(109\) | 5.72032e6 | + | 9.90788e6i | 0.423085 | + | 0.732805i | 0.996239 | − | 0.0866427i | \(-0.0276139\pi\) |
−0.573155 | + | 0.819447i | \(0.694281\pi\) | |||||||
\(110\) | −3.19092e6 | − | 5.52683e6i | −0.228581 | − | 0.395915i | ||||
\(111\) | 186436. | − | 322917.i | 0.0129390 | − | 0.0224109i | ||||
\(112\) | 2.34626e6 | + | 1.26618e6i | 0.157802 | + | 0.0851594i | ||||
\(113\) | −1.22808e7 | + | 2.12710e7i | −0.800669 | + | 1.38680i | 0.118508 | + | 0.992953i | \(0.462189\pi\) |
−0.919177 | + | 0.393846i | \(0.871144\pi\) | |||||||
\(114\) | 3.03948e6 | 0.192147 | ||||||||
\(115\) | −2.03769e6 | + | 3.52939e6i | −0.124939 | + | 0.216400i | ||||
\(116\) | −1.01253e7 | − | 1.75376e7i | −0.602291 | − | 1.04320i | ||||
\(117\) | 2.57997e6 | + | 1.69755e7i | 0.148924 | + | 0.979876i | ||||
\(118\) | 1.89895e6 | 0.106396 | ||||||||
\(119\) | 1.40366e7 | + | 7.57496e6i | 0.763566 | + | 0.412065i | ||||
\(120\) | 602836. | + | 1.04414e6i | 0.0318467 | + | 0.0551601i | ||||
\(121\) | 8.47017e6 | + | 1.46708e7i | 0.434654 | + | 0.752842i | ||||
\(122\) | −9.96014e6 | − | 1.72515e7i | −0.496599 | − | 0.860135i | ||||
\(123\) | 617132. | 0.0299027 | ||||||||
\(124\) | −1.27172e6 | − | 2.20268e6i | −0.0598983 | − | 0.103747i | ||||
\(125\) | 2.37465e7 | 1.08747 | ||||||||
\(126\) | 1.01780e6 | + | 3.54172e7i | 0.0453278 | + | 1.57731i | ||||
\(127\) | 1.12338e6 | + | 1.94575e6i | 0.0486646 | + | 0.0842895i | 0.889332 | − | 0.457263i | \(-0.151170\pi\) |
−0.840667 | + | 0.541552i | \(0.817837\pi\) | |||||||
\(128\) | 3.46233e7 | 1.45926 | ||||||||
\(129\) | 1.60441e6 | + | 2.77892e6i | 0.0658038 | + | 0.113975i | ||||
\(130\) | −2.47420e7 | + | 1.97808e7i | −0.987717 | + | 0.789665i | ||||
\(131\) | 9.14894e6 | − | 1.58464e7i | 0.355567 | − | 0.615860i | −0.631648 | − | 0.775255i | \(-0.717621\pi\) |
0.987215 | + | 0.159396i | \(0.0509545\pi\) | |||||||
\(132\) | 690472. | + | 1.19593e6i | 0.0261299 | + | 0.0452583i | ||||
\(133\) | 998638. | + | 3.47504e7i | 0.0368067 | + | 1.28079i | ||||
\(134\) | 2.82233e7 | − | 4.88842e7i | 1.01331 | − | 1.75510i | ||||
\(135\) | 2.12923e6 | − | 3.68794e6i | 0.0744827 | − | 0.129008i | ||||
\(136\) | 2.16692e7 | 0.738682 | ||||||||
\(137\) | 2.39793e7 | 0.796735 | 0.398367 | − | 0.917226i | \(-0.369577\pi\) | ||||
0.398367 | + | 0.917226i | \(0.369577\pi\) | |||||||
\(138\) | 728230. | − | 1.26133e6i | 0.0235880 | − | 0.0408557i | ||||
\(139\) | −1.64364e7 | + | 2.84688e7i | −0.519106 | + | 0.899118i | 0.480647 | + | 0.876914i | \(0.340402\pi\) |
−0.999753 | + | 0.0222040i | \(0.992932\pi\) | |||||||
\(140\) | −3.36935e7 | + | 2.07658e7i | −1.03776 | + | 0.639588i | ||||
\(141\) | −102156. | − | 176939.i | −0.00306899 | − | 0.00531564i | ||||
\(142\) | −557718. | + | 965997.i | −0.0163458 | + | 0.0283117i | ||||
\(143\) | −9.87390e6 | + | 7.89404e6i | −0.282366 | + | 0.225748i | ||||
\(144\) | −3.18408e6 | − | 5.51499e6i | −0.0888618 | − | 0.153913i | ||||
\(145\) | −2.28859e7 | −0.623420 | ||||||||
\(146\) | −4.03781e7 | − | 6.99369e7i | −1.07377 | − | 1.85982i | ||||
\(147\) | 3.62160e6 | − | 208323.i | 0.0940351 | − | 0.00540912i | ||||
\(148\) | 1.66292e7 | 0.421654 | ||||||||
\(149\) | −1.14569e7 | − | 1.98440e7i | −0.283737 | − | 0.491447i | 0.688565 | − | 0.725174i | \(-0.258241\pi\) |
−0.972302 | + | 0.233728i | \(0.924908\pi\) | |||||||
\(150\) | −2.28793e6 | −0.0553507 | ||||||||
\(151\) | 2.30274e7 | + | 3.98847e7i | 0.544285 | + | 0.942729i | 0.998652 | + | 0.0519141i | \(0.0165322\pi\) |
−0.454367 | + | 0.890815i | \(0.650134\pi\) | |||||||
\(152\) | 2.36151e7 | + | 4.09026e7i | 0.545428 | + | 0.944709i | ||||
\(153\) | −1.90488e7 | − | 3.29936e7i | −0.429980 | − | 0.744748i | ||||
\(154\) | −2.22075e7 | + | 1.36868e7i | −0.489979 | + | 0.301981i | ||||
\(155\) | −2.87442e6 | −0.0619996 | ||||||||
\(156\) | 5.35384e6 | − | 4.28031e6i | 0.112909 | − | 0.0902692i | ||||
\(157\) | −2.37581e7 | − | 4.11503e7i | −0.489963 | − | 0.848641i | 0.509970 | − | 0.860192i | \(-0.329656\pi\) |
−0.999933 | + | 0.0115513i | \(0.996323\pi\) | |||||||
\(158\) | −4.12473e7 | + | 7.14425e7i | −0.831948 | + | 1.44098i | ||||
\(159\) | 5.63909e6 | 0.111255 | ||||||||
\(160\) | 2.33919e7 | − | 4.05160e7i | 0.451488 | − | 0.782000i | ||||
\(161\) | 1.46601e7 | + | 7.91144e6i | 0.276851 | + | 0.149405i | ||||
\(162\) | 4.19333e7 | − | 7.26306e7i | 0.774919 | − | 1.34220i | ||||
\(163\) | 3.42519e7 | + | 5.93259e7i | 0.619480 | + | 1.07297i | 0.989581 | + | 0.143979i | \(0.0459899\pi\) |
−0.370100 | + | 0.928992i | \(0.620677\pi\) | |||||||
\(164\) | 1.37613e7 | + | 2.38353e7i | 0.243617 | + | 0.421957i | ||||
\(165\) | 1.56065e6 | 0.0270465 | ||||||||
\(166\) | −1.13622e8 | −1.92790 | ||||||||
\(167\) | −5.56232e7 | − | 9.63422e7i | −0.924162 | − | 1.60070i | −0.792903 | − | 0.609348i | \(-0.791431\pi\) |
−0.131260 | − | 0.991348i | \(-0.541902\pi\) | |||||||
\(168\) | 4.19550e6 | − | 2.58574e6i | 0.0682655 | − | 0.0420729i | ||||
\(169\) | 4.61026e7 | + | 4.25667e7i | 0.734721 | + | 0.678370i | ||||
\(170\) | 3.51427e7 | − | 6.08690e7i | 0.548611 | − | 0.950221i | ||||
\(171\) | 4.15188e7 | − | 7.19127e7i | 0.634978 | − | 1.09981i | ||||
\(172\) | −7.15530e7 | + | 1.23933e8i | −1.07221 | + | 1.85711i | ||||
\(173\) | 8.06196e6 | + | 1.39637e7i | 0.118380 | + | 0.205041i | 0.919126 | − | 0.393964i | \(-0.128896\pi\) |
−0.800746 | + | 0.599004i | \(0.795563\pi\) | |||||||
\(174\) | 8.17896e6 | 0.117700 | ||||||||
\(175\) | −751711. | − | 2.61579e7i | −0.0106027 | − | 0.368952i | ||||
\(176\) | 2.34426e6 | − | 4.06037e6i | 0.0324124 | − | 0.0561399i | ||||
\(177\) | −232190. | + | 402165.i | −0.00314729 | + | 0.00545127i | ||||
\(178\) | −7.32035e7 | −0.972886 | ||||||||
\(179\) | 3.40550e7 | − | 5.89850e7i | 0.443809 | − | 0.768699i | −0.554160 | − | 0.832410i | \(-0.686960\pi\) |
0.997968 | + | 0.0637113i | \(0.0202937\pi\) | |||||||
\(180\) | 9.45359e7 | 1.20821 | ||||||||
\(181\) | −1.19823e8 | −1.50198 | −0.750990 | − | 0.660314i | \(-0.770423\pi\) | ||||
−0.750990 | + | 0.660314i | \(0.770423\pi\) | |||||||
\(182\) | 8.37281e7 | + | 9.87711e7i | 1.02949 | + | 1.21445i | ||||
\(183\) | 4.87142e6 | 0.0587593 | ||||||||
\(184\) | 2.26318e7 | 0.267828 | ||||||||
\(185\) | 9.39662e6 | − | 1.62754e7i | 0.109112 | − | 0.188987i | ||||
\(186\) | 1.02726e6 | 0.0117053 | ||||||||
\(187\) | 1.40246e7 | − | 2.42913e7i | 0.156836 | − | 0.271647i | ||||
\(188\) | 4.55591e6 | − | 7.89106e6i | 0.0500060 | − | 0.0866130i | ||||
\(189\) | −1.53187e7 | − | 8.26685e6i | −0.165046 | − | 0.0890684i | ||||
\(190\) | 1.53194e8 | 1.62033 | ||||||||
\(191\) | 8.09539e7 | + | 1.40216e8i | 0.840661 | + | 1.45607i | 0.889337 | + | 0.457253i | \(0.151167\pi\) |
−0.0486757 | + | 0.998815i | \(0.515500\pi\) | |||||||
\(192\) | −7.53158e6 | + | 1.30451e7i | −0.0767948 | + | 0.133012i | ||||
\(193\) | −7.01859e7 | + | 1.21566e8i | −0.702747 | + | 1.21719i | 0.264751 | + | 0.964317i | \(0.414710\pi\) |
−0.967498 | + | 0.252877i | \(0.918623\pi\) | |||||||
\(194\) | −260626. | + | 451418.i | −0.00256279 | + | 0.00443888i | ||||
\(195\) | −1.16397e6 | − | 7.65858e6i | −0.0112414 | − | 0.0739652i | ||||
\(196\) | 8.88036e7 | + | 1.35231e8i | 0.842431 | + | 1.28286i | ||||
\(197\) | −1.52064e7 | − | 2.63383e7i | −0.141708 | − | 0.245446i | 0.786432 | − | 0.617677i | \(-0.211926\pi\) |
−0.928140 | + | 0.372231i | \(0.878593\pi\) | |||||||
\(198\) | 6.23089e7 | 0.570456 | ||||||||
\(199\) | 5.61153e6 | 0.0504772 | 0.0252386 | − | 0.999681i | \(-0.491965\pi\) | ||||
0.0252386 | + | 0.999681i | \(0.491965\pi\) | |||||||
\(200\) | −1.77760e7 | − | 3.07889e7i | −0.157119 | − | 0.272138i | ||||
\(201\) | 6.90189e6 | + | 1.19544e7i | 0.0599490 | + | 0.103835i | ||||
\(202\) | −1.60512e8 | + | 2.78014e8i | −1.37018 | + | 2.37322i | ||||
\(203\) | 2.68724e6 | + | 9.35102e7i | 0.0225460 | + | 0.784554i | ||||
\(204\) | −7.60442e6 | + | 1.31712e7i | −0.0627135 | + | 0.108623i | ||||
\(205\) | 3.11043e7 | 0.252163 | ||||||||
\(206\) | 1.31390e8 | − | 2.27575e8i | 1.04720 | − | 1.81380i | ||||
\(207\) | −1.98950e7 | − | 3.44591e7i | −0.155900 | − | 0.270028i | ||||
\(208\) | −2.16739e7 | − | 8.47566e6i | −0.166999 | − | 0.0653058i | ||||
\(209\) | 6.11359e7 | 0.463217 | ||||||||
\(210\) | −459186. | − | 1.59787e7i | −0.00342154 | − | 0.119062i | ||||
\(211\) | −7.03763e7 | − | 1.21895e8i | −0.515748 | − | 0.893302i | −0.999833 | − | 0.0182808i | \(-0.994181\pi\) |
0.484085 | − | 0.875021i | \(-0.339153\pi\) | |||||||
\(212\) | 1.25745e8 | + | 2.17797e8i | 0.906392 | + | 1.56992i | ||||
\(213\) | −136388. | − | 236230.i | −0.000967044 | − | 0.00167497i | ||||
\(214\) | −2.33411e8 | −1.62807 | ||||||||
\(215\) | 8.08643e7 | + | 1.40061e8i | 0.554909 | + | 0.961131i | ||||
\(216\) | −2.36485e7 | −0.159667 | ||||||||
\(217\) | 337511. | + | 1.17446e7i | 0.00224222 | + | 0.0780245i | ||||
\(218\) | −1.03037e8 | − | 1.78465e8i | −0.673588 | − | 1.16669i | ||||
\(219\) | 1.97486e7 | 0.127052 | ||||||||
\(220\) | 3.48007e7 | + | 6.02766e7i | 0.220348 | + | 0.381654i | ||||
\(221\) | −1.29665e8 | − | 5.07059e7i | −0.808069 | − | 0.315999i | ||||
\(222\) | −3.35816e6 | + | 5.81650e6i | −0.0205999 | + | 0.0356801i | ||||
\(223\) | −7.24812e7 | − | 1.25541e8i | −0.437682 | − | 0.758087i | 0.559829 | − | 0.828608i | \(-0.310867\pi\) |
−0.997510 | + | 0.0705216i | \(0.977534\pi\) | |||||||
\(224\) | −1.68292e8 | − | 9.08203e7i | −1.00045 | − | 0.539902i | ||||
\(225\) | −3.12527e7 | + | 5.41313e7i | −0.182915 | + | 0.316818i | ||||
\(226\) | 2.21207e8 | − | 3.83142e8i | 1.27473 | − | 2.20790i | ||||
\(227\) | 8.83975e7 | 0.501591 | 0.250795 | − | 0.968040i | \(-0.419308\pi\) | ||||
0.250795 | + | 0.968040i | \(0.419308\pi\) | |||||||
\(228\) | −3.31492e7 | −0.185225 | ||||||||
\(229\) | 388866. | − | 673535.i | 0.00213981 | − | 0.00370626i | −0.864954 | − | 0.501852i | \(-0.832652\pi\) |
0.867093 | + | 0.498146i | \(0.165986\pi\) | |||||||
\(230\) | 3.67037e7 | − | 6.35727e7i | 0.198913 | − | 0.344527i | ||||
\(231\) | −183250. | − | 6.37669e6i | −0.000978141 | − | 0.0340372i | ||||
\(232\) | 6.35461e7 | + | 1.10065e8i | 0.334103 | + | 0.578684i | ||||
\(233\) | −8.29339e7 | + | 1.43646e8i | −0.429523 | + | 0.743956i | −0.996831 | − | 0.0795500i | \(-0.974652\pi\) |
0.567308 | + | 0.823506i | \(0.307985\pi\) | |||||||
\(234\) | −4.64715e7 | − | 3.05769e8i | −0.237100 | − | 1.56005i | ||||
\(235\) | −5.14878e6 | − | 8.91794e6i | −0.0258801 | − | 0.0448257i | ||||
\(236\) | −2.07103e7 | −0.102564 | ||||||||
\(237\) | −1.00869e7 | − | 1.74710e7i | −0.0492195 | − | 0.0852506i | ||||
\(238\) | −2.52832e8 | − | 1.36443e8i | −1.21566 | − | 0.656044i | ||||
\(239\) | −4.67511e7 | −0.221513 | −0.110757 | − | 0.993848i | \(-0.535327\pi\) | ||||
−0.110757 | + | 0.993848i | \(0.535327\pi\) | |||||||
\(240\) | 1.43652e6 | + | 2.48812e6i | 0.00670766 | + | 0.0116180i | ||||
\(241\) | 2.72314e8 | 1.25317 | 0.626587 | − | 0.779352i | \(-0.284452\pi\) | ||||
0.626587 | + | 0.779352i | \(0.284452\pi\) | |||||||
\(242\) | −1.52568e8 | − | 2.64256e8i | −0.692006 | − | 1.19859i | ||||
\(243\) | 3.12294e7 | + | 5.40910e7i | 0.139618 | + | 0.241826i | ||||
\(244\) | 1.08627e8 | + | 1.88148e8i | 0.478712 | + | 0.829153i | ||||
\(245\) | 1.82534e8 | − | 1.04998e7i | 0.792978 | − | 0.0456140i | ||||
\(246\) | −1.11160e7 | −0.0476076 | ||||||||
\(247\) | −4.55966e7 | − | 3.00013e8i | −0.192528 | − | 1.26678i | ||||
\(248\) | 7.98123e6 | + | 1.38239e7i | 0.0332268 | + | 0.0575505i | ||||
\(249\) | 1.38929e7 | − | 2.40632e7i | 0.0570288 | − | 0.0987768i | ||||
\(250\) | −4.27732e8 | −1.73134 | ||||||||
\(251\) | −9.47312e7 | + | 1.64079e8i | −0.378125 | + | 0.654931i | −0.990789 | − | 0.135412i | \(-0.956764\pi\) |
0.612665 | + | 0.790343i | \(0.290098\pi\) | |||||||
\(252\) | −1.11003e7 | − | 3.86267e8i | −0.0436951 | − | 1.52050i | ||||
\(253\) | 1.46476e7 | − | 2.53703e7i | 0.0568648 | − | 0.0984926i | ||||
\(254\) | −2.02347e7 | − | 3.50476e7i | −0.0774782 | − | 0.134196i | ||||
\(255\) | 8.59400e6 | + | 1.48852e7i | 0.0324567 | + | 0.0562167i | ||||
\(256\) | −1.85931e8 | −0.692645 | ||||||||
\(257\) | −1.49557e8 | −0.549594 | −0.274797 | − | 0.961502i | \(-0.588611\pi\) | ||||
−0.274797 | + | 0.961502i | \(0.588611\pi\) | |||||||
\(258\) | −2.88992e7 | − | 5.00549e7i | −0.104765 | − | 0.181459i | ||||
\(259\) | −6.76035e7 | − | 3.64828e7i | −0.241780 | − | 0.130479i | ||||
\(260\) | 2.69841e8 | − | 2.15733e8i | 0.952139 | − | 0.761221i | ||||
\(261\) | 1.11723e8 | − | 1.93510e8i | 0.388957 | − | 0.673694i | ||||
\(262\) | −1.64794e8 | + | 2.85432e8i | −0.566093 | + | 0.980502i | ||||
\(263\) | −1.28348e8 | + | 2.22304e8i | −0.435053 | + | 0.753534i | −0.997300 | − | 0.0734352i | \(-0.976604\pi\) |
0.562247 | + | 0.826970i | \(0.309937\pi\) | |||||||
\(264\) | −4.33337e6 | − | 7.50561e6i | −0.0144948 | − | 0.0251057i | ||||
\(265\) | 2.84217e8 | 0.938189 | ||||||||
\(266\) | −1.79879e7 | − | 6.25939e8i | −0.0585995 | − | 2.03914i | ||||
\(267\) | 8.95081e6 | − | 1.55033e7i | 0.0287788 | − | 0.0498463i | ||||
\(268\) | −3.07809e8 | + | 5.33140e8i | −0.976808 | + | 1.69188i | ||||
\(269\) | 1.04290e7 | 0.0326671 | 0.0163336 | − | 0.999867i | \(-0.494801\pi\) | ||||
0.0163336 | + | 0.999867i | \(0.494801\pi\) | |||||||
\(270\) | −3.83526e7 | + | 6.64287e7i | −0.118583 | + | 0.205392i | ||||
\(271\) | 5.80041e8 | 1.77038 | 0.885189 | − | 0.465232i | \(-0.154029\pi\) | ||||
0.885189 | + | 0.465232i | \(0.154029\pi\) | |||||||
\(272\) | 5.16363e7 | 0.155584 | ||||||||
\(273\) | −3.11557e7 | + | 5.65515e6i | −0.0926762 | + | 0.0168219i | ||||
\(274\) | −4.31924e8 | −1.26847 | ||||||||
\(275\) | −4.60192e7 | −0.133437 | ||||||||
\(276\) | −7.94221e6 | + | 1.37563e7i | −0.0227384 | + | 0.0393840i | ||||
\(277\) | −1.82117e8 | −0.514839 | −0.257420 | − | 0.966300i | \(-0.582872\pi\) | ||||
−0.257420 | + | 0.966300i | \(0.582872\pi\) | |||||||
\(278\) | 2.96060e8 | − | 5.12791e8i | 0.826462 | − | 1.43147i | ||||
\(279\) | 1.40322e7 | − | 2.43044e7i | 0.0386821 | − | 0.0669993i | ||||
\(280\) | 2.11459e8 | − | 1.30325e8i | 0.575669 | − | 0.354792i | ||||
\(281\) | −6.01056e8 | −1.61601 | −0.808003 | − | 0.589178i | \(-0.799452\pi\) | ||||
−0.808003 | + | 0.589178i | \(0.799452\pi\) | |||||||
\(282\) | 1.84007e6 | + | 3.18709e6i | 0.00488609 | + | 0.00846296i | ||||
\(283\) | −3.75201e8 | + | 6.49867e8i | −0.984037 | + | 1.70440i | −0.337895 | + | 0.941184i | \(0.609715\pi\) |
−0.646142 | + | 0.763217i | \(0.723619\pi\) | |||||||
\(284\) | 6.08258e6 | − | 1.05353e7i | 0.0157570 | − | 0.0272919i | ||||
\(285\) | −1.87315e7 | + | 3.24439e7i | −0.0479308 | + | 0.0830186i | ||||
\(286\) | 1.77853e8 | − | 1.42191e8i | 0.449551 | − | 0.359410i | ||||
\(287\) | −3.65223e6 | − | 1.27090e8i | −0.00911950 | − | 0.317339i | ||||
\(288\) | 2.28387e8 | + | 3.95578e8i | 0.563375 | + | 0.975794i | ||||
\(289\) | −1.01423e8 | −0.247169 | ||||||||
\(290\) | 4.12231e8 | 0.992538 | ||||||||
\(291\) | −63735.1 | − | 110392.i | −0.000151619 | − | 0.000262611i | ||||
\(292\) | 4.40371e8 | + | 7.62745e8i | 1.03509 | + | 1.79283i | ||||
\(293\) | −1.20909e7 | + | 2.09420e7i | −0.0280815 | + | 0.0486386i | −0.879725 | − | 0.475484i | \(-0.842273\pi\) |
0.851643 | + | 0.524122i | \(0.175606\pi\) | |||||||
\(294\) | −6.52337e7 | + | 3.75240e6i | −0.149712 | + | 0.00861178i | ||||
\(295\) | −1.17027e7 | + | 2.02697e7i | −0.0265405 | + | 0.0459694i | ||||
\(296\) | −1.04364e8 | −0.233900 | ||||||||
\(297\) | −1.53056e7 | + | 2.65100e7i | −0.0339002 | + | 0.0587168i | ||||
\(298\) | 2.06367e8 | + | 3.57437e8i | 0.451734 | + | 0.782426i | ||||
\(299\) | −1.35424e8 | − | 5.29582e7i | −0.292986 | − | 0.114574i | ||||
\(300\) | 2.49526e7 | 0.0533570 | ||||||||
\(301\) | 5.62784e8 | − | 3.46851e8i | 1.18948 | − | 0.733095i | ||||
\(302\) | −4.14779e8 | − | 7.18419e8i | −0.866548 | − | 1.50091i | ||||
\(303\) | −3.92524e7 | − | 6.79872e7i | −0.0810620 | − | 0.140403i | ||||
\(304\) | 5.62732e7 | + | 9.74681e7i | 0.114880 | + | 0.198978i | ||||
\(305\) | 2.45526e8 | 0.495505 | ||||||||
\(306\) | 3.43115e8 | + | 5.94293e8i | 0.684566 | + | 1.18570i | ||||
\(307\) | −4.60518e8 | −0.908369 | −0.454185 | − | 0.890908i | \(-0.650069\pi\) | ||||
−0.454185 | + | 0.890908i | \(0.650069\pi\) | |||||||
\(308\) | 2.42199e8 | − | 1.49271e8i | 0.472330 | − | 0.291103i | ||||
\(309\) | 3.21310e7 | + | 5.56525e7i | 0.0619540 | + | 0.107307i | ||||
\(310\) | 5.17751e7 | 0.0987087 | ||||||||
\(311\) | 3.03719e8 | + | 5.26056e8i | 0.572545 | + | 0.991678i | 0.996304 | + | 0.0859024i | \(0.0273773\pi\) |
−0.423758 | + | 0.905775i | \(0.639289\pi\) | |||||||
\(312\) | −3.36004e7 | + | 2.68630e7i | −0.0626330 | + | 0.0500742i | ||||
\(313\) | −1.34739e8 | + | 2.33375e8i | −0.248364 | + | 0.430179i | −0.963072 | − | 0.269244i | \(-0.913226\pi\) |
0.714708 | + | 0.699423i | \(0.246560\pi\) | |||||||
\(314\) | 4.27941e8 | + | 7.41215e8i | 0.780063 | + | 1.35111i | ||||
\(315\) | −3.84320e8 | − | 2.07402e8i | −0.692798 | − | 0.373875i | ||||
\(316\) | 4.49851e8 | − | 7.79165e8i | 0.801981 | − | 1.38907i | ||||
\(317\) | 2.76540e8 | − | 4.78982e8i | 0.487585 | − | 0.844523i | −0.512313 | − | 0.858799i | \(-0.671211\pi\) |
0.999898 | + | 0.0142762i | \(0.00454441\pi\) | |||||||
\(318\) | −1.01573e8 | −0.177127 | ||||||||
\(319\) | 1.64511e8 | 0.283745 | ||||||||
\(320\) | −3.79602e8 | + | 6.57489e8i | −0.647594 | + | 1.12167i | ||||
\(321\) | 2.85398e7 | − | 4.94324e7i | 0.0481597 | − | 0.0834150i | ||||
\(322\) | −2.64063e8 | − | 1.42504e8i | −0.440770 | − | 0.237866i | ||||
\(323\) | 3.36656e8 | + | 5.83105e8i | 0.555876 | + | 0.962805i | ||||
\(324\) | −4.57332e8 | + | 7.92122e8i | −0.747006 | + | 1.29385i | ||||
\(325\) | 3.43222e7 | + | 2.25830e8i | 0.0554605 | + | 0.364914i | ||||
\(326\) | −6.16958e8 | − | 1.06860e9i | −0.986266 | − | 1.70826i | ||||
\(327\) | 5.03944e7 | 0.0797012 | ||||||||
\(328\) | −8.63654e7 | − | 1.49589e8i | −0.135139 | − | 0.234068i | ||||
\(329\) | −3.58335e7 | + | 2.20846e7i | −0.0554757 | + | 0.0341904i | ||||
\(330\) | −2.81110e7 | −0.0430604 | ||||||||
\(331\) | −1.68423e7 | − | 2.91717e7i | −0.0255272 | − | 0.0442144i | 0.852980 | − | 0.521944i | \(-0.174793\pi\) |
−0.878507 | + | 0.477730i | \(0.841460\pi\) | |||||||
\(332\) | 1.23918e9 | 1.85845 | ||||||||
\(333\) | 9.17438e7 | + | 1.58905e8i | 0.136151 | + | 0.235821i | ||||
\(334\) | 1.00191e9 | + | 1.73535e9i | 1.47135 | + | 2.54845i | ||||
\(335\) | 3.47865e8 | + | 6.02519e8i | 0.505537 | + | 0.875616i | ||||
\(336\) | 9.99759e6 | − | 6.16165e6i | 0.0143783 | − | 0.00886155i | ||||
\(337\) | 7.63688e8 | 1.08695 | 0.543477 | − | 0.839424i | \(-0.317107\pi\) | ||||
0.543477 | + | 0.839424i | \(0.317107\pi\) | |||||||
\(338\) | −8.30419e8 | − | 7.66728e8i | −1.16974 | − | 1.08002i | ||||
\(339\) | 5.40952e7 | + | 9.36957e7i | 0.0754154 | + | 0.130623i | ||||
\(340\) | −3.83273e8 | + | 6.63849e8i | −0.528850 | + | 0.915994i | ||||
\(341\) | 2.06622e7 | 0.0282186 | ||||||||
\(342\) | −7.47854e8 | + | 1.29532e9i | −1.01094 | + | 1.75100i | ||||
\(343\) | −6.43341e7 | − | 7.44585e8i | −0.0860818 | − | 0.996288i | ||||
\(344\) | 4.49062e8 | − | 7.77799e8i | 0.594774 | − | 1.03018i | ||||
\(345\) | 8.97574e6 | + | 1.55464e7i | 0.0117680 | + | 0.0203828i | ||||
\(346\) | −1.45215e8 | − | 2.51520e8i | −0.188472 | − | 0.326442i | ||||
\(347\) | 1.38433e8 | 0.177863 | 0.0889314 | − | 0.996038i | \(-0.471655\pi\) | ||||
0.0889314 | + | 0.996038i | \(0.471655\pi\) | |||||||
\(348\) | −8.92013e7 | −0.113460 | ||||||||
\(349\) | 6.95055e8 | + | 1.20387e9i | 0.875246 | + | 1.51597i | 0.856501 | + | 0.516146i | \(0.172634\pi\) |
0.0187451 | + | 0.999824i | \(0.494033\pi\) | |||||||
\(350\) | 1.35401e7 | + | 4.71167e8i | 0.0168805 | + | 0.587404i | ||||
\(351\) | 1.41508e8 | + | 5.53373e7i | 0.174665 | + | 0.0683035i | ||||
\(352\) | −1.68148e8 | + | 2.91241e8i | −0.205491 | + | 0.355921i | ||||
\(353\) | 2.01637e8 | − | 3.49246e8i | 0.243983 | − | 0.422591i | −0.717862 | − | 0.696185i | \(-0.754879\pi\) |
0.961845 | + | 0.273594i | \(0.0882126\pi\) | |||||||
\(354\) | 4.18230e6 | − | 7.24396e6i | 0.00501076 | − | 0.00867890i | ||||
\(355\) | −6.87412e6 | − | 1.19063e7i | −0.00815488 | − | 0.0141247i | ||||
\(356\) | 7.98372e8 | 0.937843 | ||||||||
\(357\) | 5.98109e7 | − | 3.68622e7i | 0.0695731 | − | 0.0428788i | ||||
\(358\) | −6.13413e8 | + | 1.06246e9i | −0.706582 | + | 1.22384i | ||||
\(359\) | −3.63378e8 | + | 6.29389e8i | −0.414503 | + | 0.717941i | −0.995376 | − | 0.0960537i | \(-0.969378\pi\) |
0.580873 | + | 0.813994i | \(0.302711\pi\) | |||||||
\(360\) | −5.93302e8 | −0.670220 | ||||||||
\(361\) | −2.86839e8 | + | 4.96820e8i | −0.320895 | + | 0.555807i | ||||
\(362\) | 2.15829e9 | 2.39128 | ||||||||
\(363\) | 7.46198e7 | 0.0818805 | ||||||||
\(364\) | −9.13155e8 | − | 1.07722e9i | −0.992406 | − | 1.17071i | ||||
\(365\) | 9.95354e8 | 1.07140 | ||||||||
\(366\) | −8.77460e7 | −0.0935499 | ||||||||
\(367\) | −2.61154e8 | + | 4.52332e8i | −0.275782 | + | 0.477668i | −0.970332 | − | 0.241776i | \(-0.922270\pi\) |
0.694550 | + | 0.719444i | \(0.255603\pi\) | |||||||
\(368\) | 5.39300e7 | 0.0564109 | ||||||||
\(369\) | −1.51843e8 | + | 2.63000e8i | −0.157327 | + | 0.272498i | ||||
\(370\) | −1.69256e8 | + | 2.93160e8i | −0.173715 | + | 0.300883i | ||||
\(371\) | −3.33725e7 | − | 1.16129e9i | −0.0339297 | − | 1.18068i | ||||
\(372\) | −1.12035e7 | −0.0112837 | ||||||||
\(373\) | 1.23244e8 | + | 2.13465e8i | 0.122966 | + | 0.212983i | 0.920936 | − | 0.389714i | \(-0.127426\pi\) |
−0.797970 | + | 0.602697i | \(0.794093\pi\) | |||||||
\(374\) | −2.52616e8 | + | 4.37545e8i | −0.249696 | + | 0.432486i | ||||
\(375\) | 5.23000e7 | − | 9.05863e7i | 0.0512145 | − | 0.0887061i | ||||
\(376\) | −2.85926e7 | + | 4.95239e7i | −0.0277394 | + | 0.0480460i | ||||
\(377\) | −1.22696e8 | − | 8.07305e8i | −0.117933 | − | 0.775967i | ||||
\(378\) | 2.75926e8 | + | 1.48906e8i | 0.262767 | + | 0.141805i | ||||
\(379\) | −9.62038e8 | − | 1.66630e9i | −0.907726 | − | 1.57223i | −0.817215 | − | 0.576333i | \(-0.804483\pi\) |
−0.0905115 | − | 0.995895i | \(-0.528850\pi\) | |||||||
\(380\) | −1.67076e9 | −1.56197 | ||||||||
\(381\) | 9.89664e6 | 0.00916748 | ||||||||
\(382\) | −1.45817e9 | − | 2.52563e9i | −1.33841 | − | 2.31819i | ||||
\(383\) | −6.76573e8 | − | 1.17186e9i | −0.615345 | − | 1.06581i | −0.990324 | − | 0.138776i | \(-0.955683\pi\) |
0.374979 | − | 0.927033i | \(-0.377650\pi\) | |||||||
\(384\) | 7.62553e7 | − | 1.32078e8i | 0.0687243 | − | 0.119034i | ||||
\(385\) | −9.23603e6 | − | 3.21394e8i | −0.00824846 | − | 0.287029i | ||||
\(386\) | 1.26422e9 | − | 2.18969e9i | 1.11883 | − | 1.93788i | ||||
\(387\) | −1.57903e9 | −1.38485 | ||||||||
\(388\) | 2.84244e6 | − | 4.92325e6i | 0.00247047 | − | 0.00427899i | ||||
\(389\) | −8.48379e8 | − | 1.46944e9i | −0.730746 | − | 1.26569i | −0.956565 | − | 0.291519i | \(-0.905839\pi\) |
0.225819 | − | 0.974169i | \(-0.427494\pi\) | |||||||
\(390\) | 2.09659e7 | + | 1.37949e8i | 0.0178973 | + | 0.117759i | ||||
\(391\) | 3.22638e8 | 0.272958 | ||||||||
\(392\) | −5.57327e8 | − | 8.48702e8i | −0.467314 | − | 0.711630i | ||||
\(393\) | −4.02998e7 | − | 6.98012e7i | −0.0334910 | − | 0.0580082i | ||||
\(394\) | 2.73904e8 | + | 4.74416e8i | 0.225612 | + | 0.390771i | ||||
\(395\) | −5.08391e8 | − | 8.80559e8i | −0.415057 | − | 0.718901i | ||||
\(396\) | −6.79553e8 | −0.549908 | ||||||||
\(397\) | 2.45074e8 | + | 4.24481e8i | 0.196576 | + | 0.340480i | 0.947416 | − | 0.320004i | \(-0.103684\pi\) |
−0.750840 | + | 0.660484i | \(0.770351\pi\) | |||||||
\(398\) | −1.01077e8 | −0.0803641 | ||||||||
\(399\) | 1.34763e8 | + | 7.27258e7i | 0.106210 | + | 0.0573170i | ||||
\(400\) | −4.23589e7 | − | 7.33678e7i | −0.0330929 | − | 0.0573186i | ||||
\(401\) | −9.57815e8 | −0.741782 | −0.370891 | − | 0.928676i | \(-0.620948\pi\) | ||||
−0.370891 | + | 0.928676i | \(0.620948\pi\) | |||||||
\(402\) | −1.24320e8 | − | 2.15328e8i | −0.0954440 | − | 0.165314i | ||||
\(403\) | −1.54103e7 | − | 1.01396e8i | −0.0117285 | − | 0.0771705i | ||||
\(404\) | 1.75057e9 | − | 3.03208e9i | 1.32082 | − | 2.28773i | ||||
\(405\) | 5.16846e8 | + | 8.95203e8i | 0.386606 | + | 0.669621i | ||||
\(406\) | −4.84036e7 | − | 1.68434e9i | −0.0358952 | − | 1.24908i | ||||
\(407\) | −6.75458e7 | + | 1.16993e8i | −0.0496612 | + | 0.0860158i | ||||
\(408\) | 4.77249e7 | − | 8.26620e7i | 0.0347884 | − | 0.0602553i | ||||
\(409\) | −1.78719e9 | −1.29163 | −0.645817 | − | 0.763492i | \(-0.723483\pi\) | ||||
−0.645817 | + | 0.763492i | \(0.723483\pi\) | |||||||
\(410\) | −5.60263e8 | −0.401465 | ||||||||
\(411\) | 5.28126e7 | − | 9.14741e7i | 0.0375224 | − | 0.0649908i | ||||
\(412\) | −1.43297e9 | + | 2.48197e9i | −1.00948 | + | 1.74847i | ||||
\(413\) | 8.41944e7 | + | 4.54362e7i | 0.0588109 | + | 0.0317378i | ||||
\(414\) | 3.58356e8 | + | 6.20692e8i | 0.248207 | + | 0.429907i | ||||
\(415\) | 7.00219e8 | − | 1.21282e9i | 0.480912 | − | 0.832964i | ||||
\(416\) | 1.55462e9 | + | 6.07940e8i | 1.05876 | + | 0.414032i | ||||
\(417\) | 7.24002e7 | + | 1.25401e8i | 0.0488949 | + | 0.0846884i | ||||
\(418\) | −1.10120e9 | −0.737481 | ||||||||
\(419\) | −4.62881e8 | − | 8.01733e8i | −0.307411 | − | 0.532452i | 0.670384 | − | 0.742014i | \(-0.266129\pi\) |
−0.977795 | + | 0.209562i | \(0.932796\pi\) | |||||||
\(420\) | 5.00797e6 | + | 1.74266e8i | 0.00329829 | + | 0.114773i | ||||
\(421\) | 4.54758e8 | 0.297025 | 0.148513 | − | 0.988911i | \(-0.452551\pi\) | ||||
0.148513 | + | 0.988911i | \(0.452551\pi\) | |||||||
\(422\) | 1.26765e9 | + | 2.19563e9i | 0.821116 | + | 1.42221i | ||||
\(423\) | 1.00540e8 | 0.0645874 | ||||||||
\(424\) | −7.89170e8 | − | 1.36688e9i | −0.502794 | − | 0.870865i | ||||
\(425\) | −2.53413e8 | − | 4.38925e8i | −0.160128 | − | 0.277350i | ||||
\(426\) | 2.45667e6 | + | 4.25508e6i | 0.00153962 | + | 0.00266670i | ||||
\(427\) | −2.88294e7 | − | 1.00320e9i | −0.0179200 | − | 0.623577i | ||||
\(428\) | 2.54562e9 | 1.56943 | ||||||||
\(429\) | 8.36696e6 | + | 5.50522e7i | 0.00511643 | + | 0.0336647i | ||||
\(430\) | −1.45656e9 | − | 2.52284e9i | −0.883464 | − | 1.53020i | ||||
\(431\) | −3.95876e8 | + | 6.85678e8i | −0.238171 | + | 0.412525i | −0.960190 | − | 0.279349i | \(-0.909881\pi\) |
0.722018 | + | 0.691874i | \(0.243215\pi\) | |||||||
\(432\) | −5.63527e7 | −0.0336296 | ||||||||
\(433\) | −6.48227e7 | + | 1.12276e8i | −0.0383724 | + | 0.0664630i | −0.884574 | − | 0.466400i | \(-0.845551\pi\) |
0.846201 | + | 0.532863i | \(0.178884\pi\) | |||||||
\(434\) | −6.07938e6 | − | 2.11549e8i | −0.00356981 | − | 0.124222i | ||||
\(435\) | −5.04046e7 | + | 8.73034e7i | −0.0293601 | + | 0.0508532i | ||||
\(436\) | 1.12374e9 | + | 1.94637e9i | 0.649325 | + | 1.12466i | ||||
\(437\) | 3.51610e8 | + | 6.09007e8i | 0.201547 | + | 0.349090i | ||||
\(438\) | −3.55719e8 | −0.202278 | ||||||||
\(439\) | 1.35223e9 | 0.762822 | 0.381411 | − | 0.924406i | \(-0.375438\pi\) | ||||
0.381411 | + | 0.924406i | \(0.375438\pi\) | |||||||
\(440\) | −2.18407e8 | − | 3.78293e8i | −0.122231 | − | 0.211711i | ||||
\(441\) | −8.02302e8 | + | 1.59466e9i | −0.445454 | + | 0.885385i | ||||
\(442\) | 2.33557e9 | + | 9.13335e8i | 1.28652 | + | 0.503097i | ||||
\(443\) | −6.23175e8 | + | 1.07937e9i | −0.340563 | + | 0.589872i | −0.984537 | − | 0.175175i | \(-0.943951\pi\) |
0.643975 | + | 0.765047i | \(0.277284\pi\) | |||||||
\(444\) | 3.66247e7 | − | 6.34359e7i | 0.0198579 | − | 0.0343949i | ||||
\(445\) | 4.51133e8 | − | 7.81384e8i | 0.242686 | − | 0.420344i | ||||
\(446\) | 1.30556e9 | + | 2.26130e9i | 0.696827 | + | 1.20694i | ||||
\(447\) | −1.00932e8 | −0.0534507 | ||||||||
\(448\) | 2.73102e9 | + | 1.47382e9i | 1.43500 | + | 0.774411i | ||||
\(449\) | −1.14902e9 | + | 1.99017e9i | −0.599056 | + | 1.03759i | 0.393905 | + | 0.919151i | \(0.371124\pi\) |
−0.992961 | + | 0.118444i | \(0.962209\pi\) | |||||||
\(450\) | 5.62937e8 | − | 9.75035e8i | 0.291216 | − | 0.504402i | ||||
\(451\) | −2.23587e8 | −0.114770 | ||||||||
\(452\) | −2.41253e9 | + | 4.17862e9i | −1.22882 | + | 2.12837i | ||||
\(453\) | 2.02865e8 | 0.102533 | ||||||||
\(454\) | −1.59225e9 | −0.798576 | ||||||||
\(455\) | −1.57029e9 | + | 2.85027e8i | −0.781519 | + | 0.141856i | ||||
\(456\) | 2.08042e8 | 0.102748 | ||||||||
\(457\) | −1.34355e9 | −0.658485 | −0.329242 | − | 0.944245i | \(-0.606793\pi\) | ||||
−0.329242 | + | 0.944245i | \(0.606793\pi\) | |||||||
\(458\) | −7.00440e6 | + | 1.21320e7i | −0.00340676 | + | 0.00590069i | ||||
\(459\) | −3.37132e8 | −0.162725 | ||||||||
\(460\) | −4.00298e8 | + | 6.93336e8i | −0.191748 | + | 0.332117i | ||||
\(461\) | 1.94242e9 | − | 3.36436e9i | 0.923399 | − | 1.59937i | 0.129282 | − | 0.991608i | \(-0.458733\pi\) |
0.794117 | − | 0.607765i | \(-0.207934\pi\) | |||||||
\(462\) | 3.30077e6 | + | 1.14860e8i | 0.00155728 | + | 0.0541901i | ||||
\(463\) | −2.02725e9 | −0.949234 | −0.474617 | − | 0.880192i | \(-0.657413\pi\) | ||||
−0.474617 | + | 0.880192i | \(0.657413\pi\) | |||||||
\(464\) | 1.51426e8 | + | 2.62277e8i | 0.0703700 | + | 0.121884i | ||||
\(465\) | −6.33069e6 | + | 1.09651e7i | −0.00291989 | + | 0.00505739i | ||||
\(466\) | 1.49384e9 | − | 2.58741e9i | 0.683838 | − | 1.18444i | ||||
\(467\) | −4.36129e8 | + | 7.55397e8i | −0.198155 | + | 0.343215i | −0.947930 | − | 0.318478i | \(-0.896828\pi\) |
0.749775 | + | 0.661693i | \(0.230162\pi\) | |||||||
\(468\) | 5.06826e8 | + | 3.33477e9i | 0.228559 | + | 1.50385i | ||||
\(469\) | 2.42100e9 | − | 1.49209e9i | 1.08365 | − | 0.667869i | ||||
\(470\) | 9.27418e7 | + | 1.60634e8i | 0.0412034 | + | 0.0713664i | ||||
\(471\) | −2.09302e8 | −0.0922997 | ||||||||
\(472\) | 1.29977e8 | 0.0568943 | ||||||||
\(473\) | −5.81277e8 | − | 1.00680e9i | −0.252563 | − | 0.437451i | ||||
\(474\) | 1.81689e8 | + | 3.14694e8i | 0.0783616 | + | 0.135726i | ||||
\(475\) | 5.52339e8 | − | 9.56680e8i | 0.236471 | − | 0.409580i | ||||
\(476\) | 2.75744e9 | + | 1.48808e9i | 1.17188 | + | 0.632413i | ||||
\(477\) | −1.38748e9 | + | 2.40318e9i | −0.585344 | + | 1.01385i | ||||
\(478\) | 8.42100e8 | 0.352668 | ||||||||
\(479\) | 1.30515e9 | − | 2.26059e9i | 0.542610 | − | 0.939827i | −0.456144 | − | 0.889906i | \(-0.650770\pi\) |
0.998753 | − | 0.0499212i | \(-0.0158970\pi\) | |||||||
\(480\) | −1.03038e8 | − | 1.78467e8i | −0.0425259 | − | 0.0736570i | ||||
\(481\) | 6.24496e8 | + | 2.44212e8i | 0.255871 | + | 0.100060i | ||||
\(482\) | −4.90504e9 | −1.99516 | ||||||||
\(483\) | 6.24676e7 | − | 3.84996e7i | 0.0252255 | − | 0.0155468i | ||||
\(484\) | 1.66394e9 | + | 2.88202e9i | 0.667080 | + | 1.15542i | ||||
\(485\) | −3.21233e6 | − | 5.56392e6i | −0.00127857 | − | 0.00221455i | ||||
\(486\) | −5.62517e8 | − | 9.74308e8i | −0.222284 | − | 0.385008i | ||||
\(487\) | 3.87084e9 | 1.51864 | 0.759319 | − | 0.650718i | \(-0.225532\pi\) | ||||
0.759319 | + | 0.650718i | \(0.225532\pi\) | |||||||
\(488\) | −6.81738e8 | − | 1.18080e9i | −0.265551 | − | 0.459948i | ||||
\(489\) | 3.01749e8 | 0.116698 | ||||||||
\(490\) | −3.28787e9 | + | 1.89126e8i | −1.26249 | + | 0.0726214i | ||||
\(491\) | −2.47951e9 | − | 4.29464e9i | −0.945325 | − | 1.63735i | −0.755098 | − | 0.655612i | \(-0.772411\pi\) |
−0.190227 | − | 0.981740i | \(-0.560922\pi\) | |||||||
\(492\) | 1.21233e8 | 0.0458928 | ||||||||
\(493\) | 9.05910e8 | + | 1.56908e9i | 0.340503 | + | 0.589768i | ||||
\(494\) | 8.21304e8 | + | 5.40395e9i | 0.306521 | + | 2.01682i | ||||
\(495\) | −3.83992e8 | + | 6.65094e8i | −0.142300 | + | 0.246470i | ||||
\(496\) | 1.90187e7 | + | 3.29414e7i | 0.00699835 | + | 0.0121215i | ||||
\(497\) | −4.78412e7 | + | 2.94851e7i | −0.0174805 | + | 0.0107735i | ||||
\(498\) | −2.50244e8 | + | 4.33435e8i | −0.0907948 | + | 0.157261i | ||||
\(499\) | 2.33202e9 | − | 4.03917e9i | 0.840194 | − | 1.45526i | −0.0495356 | − | 0.998772i | \(-0.515774\pi\) |
0.889730 | − | 0.456487i | \(-0.150893\pi\) | |||||||
\(500\) | 4.66493e9 | 1.66898 | ||||||||
\(501\) | −4.90024e8 | −0.174095 | ||||||||
\(502\) | 1.70634e9 | − | 2.95546e9i | 0.602007 | − | 1.04271i | ||||
\(503\) | 2.18225e8 | − | 3.77977e8i | 0.0764568 | − | 0.132427i | −0.825262 | − | 0.564750i | \(-0.808973\pi\) |
0.901719 | + | 0.432323i | \(0.142306\pi\) | |||||||
\(504\) | 6.96649e7 | + | 2.42419e9i | 0.0242386 | + | 0.843450i | ||||
\(505\) | −1.97837e9 | − | 3.42665e9i | −0.683579 | − | 1.18399i | ||||
\(506\) | −2.63838e8 | + | 4.56980e8i | −0.0905336 | + | 0.156809i | ||||
\(507\) | 2.63918e8 | − | 8.21184e7i | 0.0899374 | − | 0.0279842i | ||||
\(508\) | 2.20684e8 | + | 3.82236e8i | 0.0746874 | + | 0.129362i | ||||
\(509\) | −4.79285e9 | −1.61095 | −0.805474 | − | 0.592631i | \(-0.798089\pi\) | ||||
−0.805474 | + | 0.592631i | \(0.798089\pi\) | |||||||
\(510\) | −1.54799e8 | − | 2.68119e8i | −0.0516739 | − | 0.0895019i | ||||
\(511\) | −1.16873e8 | − | 4.06694e9i | −0.0387474 | − | 1.34833i | ||||
\(512\) | −1.08272e9 | −0.356511 | ||||||||
\(513\) | −3.67406e8 | − | 6.36366e8i | −0.120153 | − | 0.208111i | ||||
\(514\) | 2.69389e9 | 0.875001 | ||||||||
\(515\) | 1.61944e9 | + | 2.80496e9i | 0.522445 | + | 0.904901i | ||||
\(516\) | 3.15180e8 | + | 5.45909e8i | 0.100992 | + | 0.174923i | ||||
\(517\) | 3.70109e7 | + | 6.41048e7i | 0.0117791 | + | 0.0204021i | ||||
\(518\) | 1.21770e9 | + | 6.57143e8i | 0.384934 | + | 0.207733i | ||||
\(519\) | 7.10236e7 | 0.0223006 | ||||||||
\(520\) | −1.69350e9 | + | 1.35393e9i | −0.528171 | + | 0.422265i | ||||
\(521\) | 1.00631e9 | + | 1.74299e9i | 0.311746 | + | 0.539960i | 0.978740 | − | 0.205103i | \(-0.0657528\pi\) |
−0.666994 | + | 0.745063i | \(0.732419\pi\) | |||||||
\(522\) | −2.01240e9 | + | 3.48559e9i | −0.619253 | + | 1.07258i | ||||
\(523\) | 1.03729e9 | 0.317062 | 0.158531 | − | 0.987354i | \(-0.449324\pi\) | ||||
0.158531 | + | 0.987354i | \(0.449324\pi\) | |||||||
\(524\) | 1.79728e9 | − | 3.11298e9i | 0.545702 | − | 0.945184i | ||||
\(525\) | −1.01441e8 | − | 5.47434e7i | −0.0305953 | − | 0.0165110i | ||||
\(526\) | 2.31185e9 | − | 4.00424e9i | 0.692642 | − | 1.19969i | ||||
\(527\) | 1.13780e8 | + | 1.97073e8i | 0.0338633 | + | 0.0586529i | ||||
\(528\) | −1.03261e7 | − | 1.78854e7i | −0.00305294 | − | 0.00528785i | ||||
\(529\) | −3.06786e9 | −0.901032 | ||||||||
\(530\) | −5.11944e9 | −1.49368 | ||||||||
\(531\) | −1.14259e8 | − | 1.97902e8i | −0.0331177 | − | 0.0573615i | ||||
\(532\) | 1.96179e8 | + | 6.82661e9i | 0.0564887 | + | 1.96569i | ||||
\(533\) | 1.66756e8 | + | 1.09721e9i | 0.0477020 | + | 0.313866i | ||||
\(534\) | −1.61226e8 | + | 2.79251e8i | −0.0458183 | + | 0.0793597i | ||||
\(535\) | 1.43844e9 | − | 2.49146e9i | 0.406121 | − | 0.703421i | ||||
\(536\) | 1.93179e9 | − | 3.34596e9i | 0.541855 | − | 0.938521i | ||||
\(537\) | −1.50008e8 | − | 2.59821e8i | −0.0418026 | − | 0.0724042i | ||||
\(538\) | −1.87852e8 | −0.0520089 | ||||||||
\(539\) | −1.31211e9 | + | 7.54754e7i | −0.360918 | + | 0.0207608i | ||||
\(540\) | 4.18281e8 | − | 7.24484e8i | 0.114311 | − | 0.197993i | ||||
\(541\) | 2.32572e9 | − | 4.02827e9i | 0.631492 | − | 1.09378i | −0.355755 | − | 0.934579i | \(-0.615776\pi\) |
0.987247 | − | 0.159196i | \(-0.0508903\pi\) | |||||||
\(542\) | −1.04479e10 | −2.81859 | ||||||||
\(543\) | −2.63901e8 | + | 4.57090e8i | −0.0707361 | + | 0.122519i | ||||
\(544\) | −3.70376e9 | −0.986385 | ||||||||
\(545\) | 2.53994e9 | 0.672104 | ||||||||
\(546\) | 5.61189e8 | − | 1.01863e8i | 0.147549 | − | 0.0267819i | ||||
\(547\) | −4.70401e9 | −1.22889 | −0.614445 | − | 0.788960i | \(-0.710620\pi\) | ||||
−0.614445 | + | 0.788960i | \(0.710620\pi\) | |||||||
\(548\) | 4.71064e9 | 1.22278 | ||||||||
\(549\) | −1.19859e9 | + | 2.07603e9i | −0.309150 | + | 0.535463i | ||||
\(550\) | 8.28917e8 | 0.212443 | ||||||||
\(551\) | −1.97452e9 | + | 3.41997e9i | −0.502841 | + | 0.870946i | ||||
\(552\) | 4.98449e7 | − | 8.63338e7i | 0.0126134 | − | 0.0218471i | ||||
\(553\) | −3.53820e9 | + | 2.18064e9i | −0.889702 | + | 0.548335i | ||||
\(554\) | 3.28037e9 | 0.819669 | ||||||||
\(555\) | −4.13908e7 | − | 7.16909e7i | −0.0102773 | − | 0.0178008i | ||||
\(556\) | −3.22888e9 | + | 5.59259e9i | −0.796692 | + | 1.37991i | ||||
\(557\) | −1.75779e9 | + | 3.04458e9i | −0.430997 | + | 0.746508i | −0.996959 | − | 0.0779228i | \(-0.975171\pi\) |
0.565963 | + | 0.824431i | \(0.308505\pi\) | |||||||
\(558\) | −2.52753e8 | + | 4.37781e8i | −0.0615852 | + | 0.106669i | ||||
\(559\) | −4.50715e9 | + | 3.60340e9i | −1.09134 | + | 0.872511i | ||||
\(560\) | 5.03892e8 | − | 3.10555e8i | 0.121249 | − | 0.0747276i | ||||
\(561\) | −6.17763e7 | − | 1.07000e8i | −0.0147724 | − | 0.0255866i | ||||
\(562\) | 1.08265e10 | 2.57282 | ||||||||
\(563\) | 6.71569e9 | 1.58603 | 0.793014 | − | 0.609203i | \(-0.208511\pi\) | ||||
0.793014 | + | 0.609203i | \(0.208511\pi\) | |||||||
\(564\) | −2.00681e7 | − | 3.47590e7i | −0.00471009 | − | 0.00815812i | ||||
\(565\) | 2.72647e9 | + | 4.72239e9i | 0.635963 | + | 1.10152i | ||||
\(566\) | 6.75827e9 | − | 1.17057e10i | 1.56667 | − | 2.71355i | ||||
\(567\) | 3.59704e9 | − | 2.21690e9i | 0.828714 | − | 0.510748i | ||||
\(568\) | −3.81739e7 | + | 6.61192e7i | −0.00874073 | + | 0.0151394i | ||||
\(569\) | 6.73366e9 | 1.53235 | 0.766176 | − | 0.642631i | \(-0.222157\pi\) | ||||
0.766176 | + | 0.642631i | \(0.222157\pi\) | |||||||
\(570\) | 3.37399e8 | − | 5.84392e8i | 0.0763100 | − | 0.132173i | ||||
\(571\) | −6.63971e8 | − | 1.15003e9i | −0.149253 | − | 0.258514i | 0.781699 | − | 0.623656i | \(-0.214354\pi\) |
−0.930952 | + | 0.365143i | \(0.881020\pi\) | |||||||
\(572\) | −1.93970e9 | + | 1.55076e9i | −0.433359 | + | 0.346464i | ||||
\(573\) | 7.13180e8 | 0.158365 | ||||||||
\(574\) | 6.57854e7 | + | 2.28919e9i | 0.0145190 | + | 0.505231i | ||||
\(575\) | −2.64670e8 | − | 4.58422e8i | −0.0580587 | − | 0.100561i | ||||
\(576\) | −3.70623e9 | − | 6.41939e9i | −0.808080 | − | 1.39963i | ||||
\(577\) | 4.18890e9 | + | 7.25539e9i | 0.907788 | + | 1.57234i | 0.817130 | + | 0.576454i | \(0.195564\pi\) |
0.0906585 | + | 0.995882i | \(0.471103\pi\) | |||||||
\(578\) | 1.82687e9 | 0.393514 | ||||||||
\(579\) | 3.09159e8 | + | 5.35479e8i | 0.0661921 | + | 0.114648i | ||||
\(580\) | −4.49586e9 | −0.956787 | ||||||||
\(581\) | −5.03769e9 | − | 2.71863e9i | −1.06565 | − | 0.575088i | ||||
\(582\) | 1.14802e6 | + | 1.98843e6i | 0.000241390 | + | 0.000418100i | ||||
\(583\) | −2.04304e9 | −0.427009 | ||||||||
\(584\) | −2.76374e9 | − | 4.78694e9i | −0.574186 | − | 0.994520i | ||||
\(585\) | 3.55021e9 | + | 1.38832e9i | 0.733176 | + | 0.286712i | ||||
\(586\) | 2.17785e8 | − | 3.77215e8i | 0.0447082 | − | 0.0774368i | ||||
\(587\) | 2.65036e9 | + | 4.59057e9i | 0.540844 | + | 0.936770i | 0.998856 | + | 0.0478235i | \(0.0152285\pi\) |
−0.458012 | + | 0.888946i | \(0.651438\pi\) | |||||||
\(588\) | 7.11451e8 | − | 4.09243e7i | 0.144319 | − | 0.00830159i | ||||
\(589\) | −2.47995e8 | + | 4.29539e8i | −0.0500079 | + | 0.0866163i | ||||
\(590\) | 2.10794e8 | − | 3.65105e8i | 0.0422547 | − | 0.0731873i | ||||
\(591\) | −1.33964e8 | −0.0266952 | ||||||||
\(592\) | −2.48693e8 | −0.0492649 | ||||||||
\(593\) | −2.96231e8 | + | 5.13087e8i | −0.0583363 | + | 0.101041i | −0.893719 | − | 0.448628i | \(-0.851913\pi\) |
0.835382 | + | 0.549669i | \(0.185246\pi\) | |||||||
\(594\) | 2.75690e8 | − | 4.77509e8i | 0.0539720 | − | 0.0934823i | ||||
\(595\) | 3.01455e9 | − | 1.85791e9i | 0.586696 | − | 0.361588i | ||||
\(596\) | −2.25067e9 | − | 3.89828e9i | −0.435462 | − | 0.754243i | ||||
\(597\) | 1.23590e7 | − | 2.14064e7i | 0.00237724 | − | 0.00411750i | ||||
\(598\) | 2.43932e9 | + | 9.53905e8i | 0.466460 | + | 0.182411i | ||||
\(599\) | 3.59532e8 | + | 6.22727e8i | 0.0683508 | + | 0.118387i | 0.898175 | − | 0.439637i | \(-0.144893\pi\) |
−0.829825 | + | 0.558024i | \(0.811560\pi\) | |||||||
\(600\) | −1.56601e8 | −0.0295982 | ||||||||
\(601\) | 1.83017e9 | + | 3.16995e9i | 0.343899 | + | 0.595650i | 0.985153 | − | 0.171678i | \(-0.0549189\pi\) |
−0.641254 | + | 0.767329i | \(0.721586\pi\) | |||||||
\(602\) | −1.01371e10 | + | 6.24762e9i | −1.89376 | + | 1.16715i | ||||
\(603\) | −6.79274e9 | −1.26164 | ||||||||
\(604\) | 4.52366e9 | + | 7.83521e9i | 0.835335 | + | 1.44684i | ||||
\(605\) | 3.76094e9 | 0.690482 | ||||||||
\(606\) | 7.07030e8 | + | 1.22461e9i | 0.129058 | + | 0.223534i | ||||
\(607\) | −2.50069e7 | − | 4.33132e7i | −0.00453836 | − | 0.00786068i | 0.863747 | − | 0.503925i | \(-0.168111\pi\) |
−0.868286 | + | 0.496065i | \(0.834778\pi\) | |||||||
\(608\) | −4.03635e9 | − | 6.99117e9i | −0.728327 | − | 1.26150i | ||||
\(609\) | 3.62633e8 | + | 1.95698e8i | 0.0650590 | + | 0.0351097i | ||||
\(610\) | −4.42251e9 | −0.788887 | ||||||||
\(611\) | 2.86978e8 | − | 2.29435e8i | 0.0508985 | − | 0.0406926i | ||||
\(612\) | −3.74208e9 | − | 6.48148e9i | −0.659908 | − | 1.14299i | ||||
\(613\) | 2.40739e9 | − | 4.16973e9i | 0.422120 | − | 0.731133i | −0.574027 | − | 0.818836i | \(-0.694620\pi\) |
0.996147 | + | 0.0877036i | \(0.0279528\pi\) | |||||||
\(614\) | 8.29504e9 | 1.44620 | ||||||||
\(615\) | 6.85049e7 | − | 1.18654e8i | 0.0118757 | − | 0.0205693i | ||||
\(616\) | −1.52003e9 | + | 9.36815e8i | −0.262011 | + | 0.161481i | ||||
\(617\) | −4.66117e9 | + | 8.07338e9i | −0.798908 | + | 1.38375i | 0.121420 | + | 0.992601i | \(0.461255\pi\) |
−0.920328 | + | 0.391148i | \(0.872078\pi\) | |||||||
\(618\) | −5.78756e8 | − | 1.00243e9i | −0.0986361 | − | 0.170843i | ||||
\(619\) | −1.37973e9 | − | 2.38976e9i | −0.233817 | − | 0.404984i | 0.725111 | − | 0.688632i | \(-0.241788\pi\) |
−0.958928 | + | 0.283648i | \(0.908455\pi\) | |||||||
\(620\) | −5.64669e8 | −0.0951532 | ||||||||
\(621\) | −3.52107e8 | −0.0590003 | ||||||||
\(622\) | −5.47070e9 | − | 9.47553e9i | −0.911542 | − | 1.57884i | ||||
\(623\) | −3.24565e9 | − | 1.75154e9i | −0.537766 | − | 0.290210i | ||||
\(624\) | −8.00674e7 | + | 6.40127e7i | −0.0131920 | + | 0.0105468i | ||||
\(625\) | 1.50957e9 | − | 2.61466e9i | 0.247329 | − | 0.428386i | ||||
\(626\) | 2.42698e9 | − | 4.20365e9i | 0.395417 | − | 0.684883i | ||||
\(627\) | 1.34647e8 | − | 2.33216e8i | 0.0218153 | − | 0.0377853i | ||||
\(628\) | −4.66720e9 | − | 8.08383e9i | −0.751965 | − | 1.30244i | ||||
\(629\) | −1.48781e9 | −0.238381 | ||||||||
\(630\) | 6.92253e9 | + | 3.73581e9i | 1.10299 | + | 0.595241i | ||||
\(631\) | −2.07754e9 | + | 3.59840e9i | −0.329190 | + | 0.570173i | −0.982351 | − | 0.187045i | \(-0.940109\pi\) |
0.653162 | + | 0.757218i | \(0.273442\pi\) | |||||||
\(632\) | −2.82324e9 | + | 4.89000e9i | −0.444875 | + | 0.770547i | ||||
\(633\) | −6.19995e8 | −0.0971572 | ||||||||
\(634\) | −4.98115e9 | + | 8.62761e9i | −0.776278 | + | 1.34455i | ||||
\(635\) | 4.98804e8 | 0.0773075 | ||||||||
\(636\) | 1.10778e9 | 0.170747 | ||||||||
\(637\) | 1.34898e9 | + | 6.38261e9i | 0.206784 | + | 0.978387i | ||||
\(638\) | −2.96324e9 | −0.451746 | ||||||||
\(639\) | 1.34231e8 | 0.0203516 | ||||||||
\(640\) | 3.84337e9 | − | 6.65691e9i | 0.579538 | − | 1.00379i | ||||
\(641\) | 7.92485e9 | 1.18847 | 0.594235 | − | 0.804292i | \(-0.297455\pi\) | ||||
0.594235 | + | 0.804292i | \(0.297455\pi\) | |||||||
\(642\) | −5.14071e8 | + | 8.90396e8i | −0.0766744 | + | 0.132804i | ||||
\(643\) | 4.90970e9 | − | 8.50384e9i | 0.728310 | − | 1.26147i | −0.229287 | − | 0.973359i | \(-0.573639\pi\) |
0.957597 | − | 0.288111i | \(-0.0930272\pi\) | |||||||
\(644\) | 2.87992e9 | + | 1.55418e9i | 0.424893 | + | 0.229298i | ||||
\(645\) | 7.12391e8 | 0.104534 | ||||||||
\(646\) | −6.06398e9 | − | 1.05031e10i | −0.885002 | − | 1.53287i | ||||
\(647\) | −3.08684e9 | + | 5.34657e9i | −0.448074 | + | 0.776086i | −0.998261 | − | 0.0589551i | \(-0.981223\pi\) |
0.550187 | + | 0.835042i | \(0.314556\pi\) | |||||||
\(648\) | 2.87019e9 | − | 4.97132e9i | 0.414380 | − | 0.717726i | ||||
\(649\) | 8.41225e7 | − | 1.45704e8i | 0.0120797 | − | 0.0209226i | ||||
\(650\) | −6.18226e8 | − | 4.06775e9i | −0.0882979 | − | 0.580975i | ||||
\(651\) | 4.55458e7 | + | 2.45792e7i | 0.00647016 | + | 0.00349168i | ||||
\(652\) | 6.72866e9 | + | 1.16544e10i | 0.950741 | + | 1.64673i | ||||
\(653\) | 1.23202e10 | 1.73150 | 0.865751 | − | 0.500474i | \(-0.166841\pi\) | ||||
0.865751 | + | 0.500474i | \(0.166841\pi\) | |||||||
\(654\) | −9.07724e8 | −0.126891 | ||||||||
\(655\) | −2.03116e9 | − | 3.51808e9i | −0.282423 | − | 0.489171i | ||||
\(656\) | −2.05803e8 | − | 3.56461e8i | −0.0284635 | − | 0.0493002i | ||||
\(657\) | −4.85906e9 | + | 8.41614e9i | −0.668457 | + | 1.15780i | ||||
\(658\) | 6.45447e8 | − | 3.97797e8i | 0.0883222 | − | 0.0544341i | ||||
\(659\) | 2.32896e9 | − | 4.03388e9i | 0.317003 | − | 0.549066i | −0.662858 | − | 0.748745i | \(-0.730657\pi\) |
0.979861 | + | 0.199679i | \(0.0639901\pi\) | |||||||
\(660\) | 3.06584e8 | 0.0415094 | ||||||||
\(661\) | −4.94569e9 | + | 8.56618e9i | −0.666073 | + | 1.15367i | 0.312921 | + | 0.949779i | \(0.398693\pi\) |
−0.978993 | + | 0.203892i | \(0.934641\pi\) | |||||||
\(662\) | 3.03370e8 | + | 5.25452e8i | 0.0406415 | + | 0.0703931i | ||||
\(663\) | −4.79006e8 | + | 3.82958e8i | −0.0638327 | + | 0.0510333i | ||||
\(664\) | −7.77703e9 | −1.03092 | ||||||||
\(665\) | 6.79221e9 | + | 3.66548e9i | 0.895644 | + | 0.483342i | ||||
\(666\) | −1.65253e9 | − | 2.86226e9i | −0.216765 | − | 0.375447i | ||||
\(667\) | 9.46150e8 | + | 1.63878e9i | 0.123458 | + | 0.213836i | ||||
\(668\) | −1.09270e10 | − | 1.89261e10i | −1.41835 | − | 2.45665i | ||||
\(669\) | −6.38538e8 | −0.0824509 | ||||||||
\(670\) | −6.26588e9 | − | 1.08528e10i | −0.804859 | − | 1.39406i | ||||
\(671\) | −1.76491e9 | −0.225525 | ||||||||
\(672\) | −7.17105e8 | + | 4.41961e8i | −0.0911570 | + | 0.0561813i | ||||
\(673\) | 6.31202e9 | + | 1.09327e10i | 0.798207 | + | 1.38253i | 0.920783 | + | 0.390076i | \(0.127551\pi\) |
−0.122576 | + | 0.992459i | \(0.539116\pi\) | |||||||
\(674\) | −1.37559e10 | −1.73053 | ||||||||
\(675\) | 2.76560e8 | + | 4.79016e8i | 0.0346119 | + | 0.0599496i | ||||
\(676\) | 9.05671e9 | + | 8.36208e9i | 1.12760 | + | 1.04112i | ||||
\(677\) | −3.25321e8 | + | 5.63472e8i | −0.0402950 | + | 0.0697931i | −0.885470 | − | 0.464697i | \(-0.846163\pi\) |
0.845175 | + | 0.534490i | \(0.179496\pi\) | |||||||
\(678\) | −9.74385e8 | − | 1.68768e9i | −0.120068 | − | 0.207964i | ||||
\(679\) | −2.23566e7 | + | 1.37787e7i | −0.00274070 | + | 0.00168913i | ||||
\(680\) | 2.40540e9 | − | 4.16628e9i | 0.293364 | − | 0.508121i | ||||
\(681\) | 1.94689e8 | − | 3.37211e8i | 0.0236226 | − | 0.0409155i | ||||
\(682\) | −3.72175e8 | −0.0449265 | ||||||||
\(683\) | −4.68549e9 | −0.562707 | −0.281353 | − | 0.959604i | \(-0.590783\pi\) | ||||
−0.281353 | + | 0.959604i | \(0.590783\pi\) | |||||||
\(684\) | 8.15623e9 | − | 1.41270e10i | 0.974526 | − | 1.68793i | ||||
\(685\) | 2.66182e9 | − | 4.61041e9i | 0.316419 | − | 0.548054i | ||||
\(686\) | 1.15881e9 | + | 1.34118e10i | 0.137050 | + | 1.58618i | ||||
\(687\) | −1.71290e6 | − | 2.96682e6i | −0.000201550 | − | 0.000349095i | ||||
\(688\) | 1.07008e9 | − | 1.85344e9i | 0.125273 | − | 0.216980i | ||||
\(689\) | 1.52375e9 | + | 1.00258e10i | 0.177478 | + | 1.16776i | ||||
\(690\) | −1.61675e8 | − | 2.80029e8i | −0.0187357 | − | 0.0324512i | ||||
\(691\) | −8.32107e9 | −0.959414 | −0.479707 | − | 0.877429i | \(-0.659257\pi\) | ||||
−0.479707 | + | 0.877429i | \(0.659257\pi\) | |||||||
\(692\) | 1.58375e9 | + | 2.74313e9i | 0.181683 | + | 0.314684i | ||||
\(693\) | 2.76261e9 | + | 1.49087e9i | 0.315321 | + | 0.170166i | ||||
\(694\) | −2.49350e9 | −0.283173 | ||||||||
\(695\) | 3.64906e9 | + | 6.32037e9i | 0.412320 | + | 0.714160i | ||||
\(696\) | 5.59823e8 | 0.0629387 | ||||||||
\(697\) | −1.23122e9 | − | 2.13254e9i | −0.137728 | − | 0.238552i | ||||
\(698\) | −1.25196e10 | − | 2.16846e10i | −1.39347 | − | 2.41356i | ||||
\(699\) | 3.65312e8 | + | 6.32739e8i | 0.0404570 | + | 0.0700736i | ||||
\(700\) | −1.47671e8 | − | 5.13864e9i | −0.0162724 | − | 0.566245i | ||||
\(701\) | 1.25111e10 | 1.37177 | 0.685884 | − | 0.727710i | \(-0.259416\pi\) | ||||
0.685884 | + | 0.727710i | \(0.259416\pi\) | |||||||
\(702\) | −2.54890e9 | − | 9.96758e8i | −0.278082 | − | 0.108745i | ||||
\(703\) | −1.62142e9 | − | 2.80838e9i | −0.176015 | − | 0.304868i | ||||
\(704\) | 2.72869e9 | − | 4.72623e9i | 0.294747 | − | 0.510517i | ||||
\(705\) | −4.53592e7 | −0.00487533 | ||||||||
\(706\) | −3.63197e9 | + | 6.29076e9i | −0.388442 | + | 0.672801i | ||||
\(707\) | −1.37687e10 | + | 8.48584e9i | −1.46530 | + | 0.903081i | ||||
\(708\) | −4.56130e7 | + | 7.90040e7i | −0.00483027 | + | 0.00836628i | ||||
\(709\) | −2.11298e9 | − | 3.65979e9i | −0.222656 | − | 0.385651i | 0.732958 | − | 0.680274i | \(-0.238139\pi\) |
−0.955613 | + | 0.294623i | \(0.904806\pi\) | |||||||
\(710\) | 1.23819e8 | + | 2.14461e8i | 0.0129833 | + | 0.0224877i | ||||
\(711\) | 9.92734e9 | 1.03583 | ||||||||
\(712\) | −5.01054e9 | −0.520241 | ||||||||
\(713\) | 1.18834e8 | + | 2.05827e8i | 0.0122780 | + | 0.0212661i | ||||
\(714\) | −1.07734e9 | + | 6.63977e8i | −0.110766 | + | 0.0682668i | ||||
\(715\) | 4.21706e8 | + | 2.77470e9i | 0.0431458 | + | 0.283887i | ||||
\(716\) | 6.69000e9 | − | 1.15874e10i | 0.681131 | − | 1.17975i | ||||
\(717\) | −1.02966e8 | + | 1.78342e8i | −0.0104322 | + | 0.0180691i | ||||
\(718\) | 6.54531e9 | − | 1.13368e10i | 0.659925 | − | 1.14302i | ||||
\(719\) | −2.88932e9 | − | 5.00445e9i | −0.289898 | − | 0.502118i | 0.683887 | − | 0.729588i | \(-0.260288\pi\) |
−0.973785 | + | 0.227470i | \(0.926955\pi\) | |||||||
\(720\) | −1.41380e9 | −0.141164 | ||||||||
\(721\) | 1.12707e10 | − | 6.94628e9i | 1.11989 | − | 0.690206i | ||||
\(722\) | 5.16666e9 | − | 8.94892e9i | 0.510893 | − | 0.884892i | ||||
\(723\) | 5.99753e8 | − | 1.03880e9i | 0.0590185 | − | 0.102223i | ||||
\(724\) | −2.35388e10 | −2.30515 | ||||||||
\(725\) | 1.48629e9 | − | 2.57433e9i | 0.144851 | − | 0.250889i | ||||
\(726\) | −1.34408e9 | −0.130361 | ||||||||
\(727\) | 6.88165e9 | 0.664236 | 0.332118 | − | 0.943238i | \(-0.392237\pi\) | ||||
0.332118 | + | 0.943238i | \(0.392237\pi\) | |||||||
\(728\) | 5.73091e9 | + | 6.76055e9i | 0.550508 | + | 0.649415i | ||||
\(729\) | −9.90765e9 | −0.947162 | ||||||||
\(730\) | −1.79287e10 | −1.70577 | ||||||||
\(731\) | 6.40181e9 | − | 1.10883e10i | 0.606167 | − | 1.04991i | ||||
\(732\) | 9.56974e8 | 0.0901802 | ||||||||
\(733\) | −4.72023e8 | + | 8.17568e8i | −0.0442690 | + | 0.0766761i | −0.887311 | − | 0.461172i | \(-0.847429\pi\) |
0.843042 | + | 0.537848i | \(0.180763\pi\) | |||||||
\(734\) | 4.70402e9 | − | 8.14759e9i | 0.439069 | − | 0.760489i | ||||
\(735\) | 3.61963e8 | − | 7.19439e8i | 0.0336247 | − | 0.0668326i | ||||
\(736\) | −3.86828e9 | −0.357639 | ||||||||
\(737\) | −2.50055e9 | − | 4.33109e9i | −0.230091 | − | 0.398530i | ||||
\(738\) | 2.73506e9 | − | 4.73726e9i | 0.250478 | − | 0.433840i | ||||
\(739\) | −3.51818e9 | + | 6.09367e9i | −0.320673 | + | 0.555422i | −0.980627 | − | 0.195884i | \(-0.937242\pi\) |
0.659954 | + | 0.751306i | \(0.270576\pi\) | |||||||
\(740\) | 1.84593e9 | − | 3.19725e9i | 0.167458 | − | 0.290045i | ||||
\(741\) | −1.24489e9 | − | 4.86818e8i | −0.112400 | − | 0.0439544i | ||||
\(742\) | 6.01119e8 | + | 2.09176e10i | 0.0540190 | + | 1.87974i | ||||
\(743\) | −6.12173e9 | − | 1.06032e10i | −0.547537 | − | 0.948362i | −0.998443 | − | 0.0557904i | \(-0.982232\pi\) |
0.450905 | − | 0.892572i | \(-0.351101\pi\) | |||||||
\(744\) | 7.03123e7 | 0.00625930 | ||||||||
\(745\) | −5.08711e9 | −0.450738 | ||||||||
\(746\) | −2.21992e9 | − | 3.84501e9i | −0.195772 | − | 0.339087i | ||||
\(747\) | 6.83658e9 | + | 1.18413e10i | 0.600090 | + | 1.03939i | ||||
\(748\) | 2.75508e9 | − | 4.77194e9i | 0.240702 | − | 0.416907i | ||||
\(749\) | −1.03488e10 | − | 5.58483e9i | −0.899920 | − | 0.485650i | ||||
\(750\) | −9.42049e8 | + | 1.63168e9i | −0.0815379 | + | 0.141228i | ||||
\(751\) | −1.60176e10 | −1.37993 | −0.689966 | − | 0.723842i | \(-0.742374\pi\) | ||||
−0.689966 | + | 0.723842i | \(0.742374\pi\) | |||||||
\(752\) | −6.81343e7 | + | 1.18012e8i | −0.00584256 | + | 0.0101196i | ||||
\(753\) | 4.17277e8 | + | 7.22745e8i | 0.0356158 | + | 0.0616883i | ||||
\(754\) | 2.21005e9 | + | 1.45415e10i | 0.187760 | + | 1.23541i | ||||
\(755\) | 1.02247e10 | 0.864639 | ||||||||
\(756\) | −3.00930e9 | − | 1.62400e9i | −0.253302 | − | 0.136697i | ||||
\(757\) | 1.94628e9 | + | 3.37105e9i | 0.163068 | + | 0.282442i | 0.935968 | − | 0.352086i | \(-0.114528\pi\) |
−0.772899 | + | 0.634529i | \(0.781194\pi\) | |||||||
\(758\) | 1.73286e10 | + | 3.00140e10i | 1.44518 | + | 2.50312i | ||||
\(759\) | −6.45203e7 | − | 1.11753e8i | −0.00535612 | − | 0.00927708i | ||||
\(760\) | 1.04856e10 | 0.866456 | ||||||||
\(761\) | −9.07476e8 | − | 1.57179e9i | −0.0746430 | − | 0.129285i | 0.826288 | − | 0.563248i | \(-0.190448\pi\) |
−0.900931 | + | 0.433962i | \(0.857115\pi\) | |||||||
\(762\) | −1.78262e8 | −0.0145954 | ||||||||
\(763\) | −2.98237e8 | − | 1.03780e10i | −0.0243067 | − | 0.845821i | ||||
\(764\) | 1.59031e10 | + | 2.75450e10i | 1.29020 | + | 2.23468i | ||||
\(765\) | −8.45809e9 | −0.683058 | ||||||||
\(766\) | 1.21867e10 | + | 2.11080e10i | 0.979683 | + | 1.69686i | ||||
\(767\) | −7.77756e8 | − | 3.04145e8i | −0.0622386 | − | 0.0243387i | ||||
\(768\) | −4.09499e8 | + | 7.09272e8i | −0.0326203 | + | 0.0565001i | ||||
\(769\) | 6.12444e9 | + | 1.06078e10i | 0.485651 | + | 0.841172i | 0.999864 | − | 0.0164901i | \(-0.00524921\pi\) |
−0.514213 | + | 0.857663i | \(0.671916\pi\) | |||||||
\(770\) | 1.66363e8 | + | 5.78908e9i | 0.0131323 | + | 0.456974i | ||||
\(771\) | −3.29389e8 | + | 5.70519e8i | −0.0258833 | + | 0.0448311i | ||||
\(772\) | −1.37878e10 | + | 2.38811e10i | −1.07853 | + | 1.86808i | ||||
\(773\) | 1.78900e9 | 0.139310 | 0.0696552 | − | 0.997571i | \(-0.477810\pi\) | ||||
0.0696552 | + | 0.997571i | \(0.477810\pi\) | |||||||
\(774\) | 2.84422e10 | 2.20480 | ||||||||
\(775\) | 1.86675e8 | − | 3.23330e8i | 0.0144055 | − | 0.0249511i | ||||
\(776\) | −1.78390e7 | + | 3.08981e7i | −0.00137042 | + | 0.00237364i | ||||
\(777\) | −2.88063e8 | + | 1.77537e8i | −0.0220300 | + | 0.0135774i | ||||
\(778\) | 1.52813e10 | + | 2.64681e10i | 1.16341 | + | 2.01509i | ||||
\(779\) | 2.68357e9 | − | 4.64808e9i | 0.203391 | − | 0.352283i | ||||
\(780\) | −2.28658e8 | − | 1.50450e9i | −0.0172526 | − | 0.113517i | ||||
\(781\) | 4.94132e7 | + | 8.55862e7i | 0.00371163 | + | 0.00642873i | ||||
\(782\) | −5.81148e9 | −0.434573 | ||||||||
\(783\) | −9.88655e8 | − | 1.71240e9i | −0.0736001 | − | 0.127479i | ||||
\(784\) | −1.32807e9 | − | 2.02240e9i | −0.0984272 | − | 0.149886i | ||||
\(785\) | −1.05491e10 | −0.778345 | ||||||||
\(786\) | 7.25895e8 | + | 1.25729e9i | 0.0533206 | + | 0.0923540i | ||||
\(787\) | −7.12083e9 | −0.520738 | −0.260369 | − | 0.965509i | \(-0.583844\pi\) | ||||
−0.260369 | + | 0.965509i | \(0.583844\pi\) | |||||||
\(788\) | −2.98725e9 | − | 5.17407e9i | −0.217485 | − | 0.376696i | ||||
\(789\) | 5.65352e8 | + | 9.79219e8i | 0.0409779 | + | 0.0709758i | ||||
\(790\) | 9.15735e9 | + | 1.58610e10i | 0.660807 | + | 1.14455i | ||||
\(791\) | 1.89752e10 | − | 1.16947e10i | 1.36323 | − | 0.840175i | ||||
\(792\) | 4.26484e9 | 0.305045 | ||||||||
\(793\) | 1.31631e9 | + | 8.66097e9i | 0.0937354 | + | 0.616752i | ||||
\(794\) | −4.41438e9 | − | 7.64592e9i | −0.312966 | − | 0.542073i | ||||
\(795\) | 6.25968e8 | − | 1.08421e9i | 0.0441842 | − | 0.0765294i | ||||
\(796\) | 1.10237e9 | 0.0774694 | ||||||||
\(797\) | −1.11489e10 | + | 1.93105e10i | −0.780062 | + | 1.35111i | 0.151844 | + | 0.988405i | \(0.451479\pi\) |
−0.931905 | + | 0.362702i | \(0.881854\pi\) | |||||||
\(798\) | −2.42740e9 | − | 1.30997e9i | −0.169095 | − | 0.0912536i | ||||
\(799\) | −4.07615e8 | + | 7.06010e8i | −0.0282707 | + | 0.0489663i | ||||
\(800\) | 3.03831e9 | + | 5.26251e9i | 0.209806 | + | 0.363394i | ||||
\(801\) | 4.40463e9 | + | 7.62904e9i | 0.302827 | + | 0.524513i | ||||
\(802\) | 1.72526e10 | 1.18098 | ||||||||
\(803\) | −7.15491e9 | −0.487640 | ||||||||
\(804\) | 1.35585e9 | + | 2.34841e9i | 0.0920061 | + | 0.159359i | ||||
\(805\) | 3.14845e9 | − | 1.94043e9i | 0.212722 | − | 0.131103i | ||||
\(806\) | 2.77577e8 | + | 1.82638e9i | 0.0186729 | + | 0.122862i | ||||
\(807\) | 2.29692e7 | − | 3.97838e7i | 0.00153847 | − | 0.00266470i | ||||
\(808\) | −1.09865e10 | + | 1.90291e10i | −0.732687 | + | 1.26905i | ||||
\(809\) | 5.37821e9 | − | 9.31534e9i | 0.357123 | − | 0.618556i | −0.630356 | − | 0.776307i | \(-0.717091\pi\) |
0.987479 | + | 0.157751i | \(0.0504242\pi\) | |||||||
\(810\) | −9.30963e9 | − | 1.61248e10i | −0.615510 | − | 1.06609i | ||||
\(811\) | 9.11605e9 | 0.600114 | 0.300057 | − | 0.953921i | \(-0.402994\pi\) | ||||
0.300057 | + | 0.953921i | \(0.402994\pi\) | |||||||
\(812\) | 5.27899e8 | + | 1.83698e10i | 0.0346023 | + | 1.20409i | ||||
\(813\) | 1.27750e9 | − | 2.21269e9i | 0.0833764 | − | 0.144412i | ||||
\(814\) | 1.21666e9 | − | 2.10732e9i | 0.0790650 | − | 0.136945i | ||||
\(815\) | 1.52085e10 | 0.984093 | ||||||||
\(816\) | 1.13725e8 | − | 1.96978e8i | 0.00732726 | − | 0.0126912i | ||||
\(817\) | 2.79068e10 | 1.79033 | ||||||||
\(818\) | 3.21916e10 | 2.05639 | ||||||||
\(819\) | 5.25572e9 | − | 1.46689e10i | 0.334302 | − | 0.933047i | ||||
\(820\) | 6.11033e9 | 0.387005 | ||||||||
\(821\) | −7.86608e9 | −0.496087 | −0.248043 | − | 0.968749i | \(-0.579788\pi\) | ||||
−0.248043 | + | 0.968749i | \(0.579788\pi\) | |||||||
\(822\) | −9.51281e8 | + | 1.64767e9i | −0.0597390 | + | 0.103471i | ||||
\(823\) | −1.27526e9 | −0.0797445 | −0.0398722 | − | 0.999205i | \(-0.512695\pi\) | ||||
−0.0398722 | + | 0.999205i | \(0.512695\pi\) | |||||||
\(824\) | 8.99323e9 | − | 1.55767e10i | 0.559978 | − | 0.969910i | ||||
\(825\) | −1.01354e8 | + | 1.75550e8i | −0.00628423 | + | 0.0108846i | ||||
\(826\) | −1.51654e9 | − | 8.18416e8i | −0.0936320 | − | 0.0505294i | ||||
\(827\) | −1.95992e10 | −1.20495 | −0.602476 | − | 0.798137i | \(-0.705819\pi\) | ||||
−0.602476 | + | 0.798137i | \(0.705819\pi\) | |||||||
\(828\) | −3.90830e9 | − | 6.76938e9i | −0.239267 | − | 0.414422i | ||||
\(829\) | 7.49393e8 | − | 1.29799e9i | 0.0456845 | − | 0.0791279i | −0.842279 | − | 0.539042i | \(-0.818786\pi\) |
0.887963 | + | 0.459914i | \(0.152120\pi\) | |||||||
\(830\) | −1.26126e10 | + | 2.18457e10i | −0.765653 | + | 1.32615i | ||||
\(831\) | −4.01100e8 | + | 6.94726e8i | −0.0242465 | + | 0.0419962i | ||||
\(832\) | −2.52282e10 | − | 9.86558e9i | −1.51864 | − | 0.593869i | ||||
\(833\) | −7.94523e9 | − | 1.20991e10i | −0.476265 | − | 0.725261i | ||||
\(834\) | −1.30410e9 | − | 2.25877e9i | −0.0778449 | − | 0.134831i | ||||
\(835\) | −2.46979e10 | −1.46810 | ||||||||
\(836\) | 1.20099e10 | 0.710917 | ||||||||
\(837\) | −1.24173e8 | − | 2.15073e8i | −0.00731959 | − | 0.0126779i | ||||
\(838\) | 8.33759e9 | + | 1.44411e10i | 0.489426 | + | 0.847710i | ||||
\(839\) | −6.48836e8 | + | 1.12382e9i | −0.0379287 | + | 0.0656944i | −0.884367 | − | 0.466793i | \(-0.845409\pi\) |
0.846438 | + | 0.532487i | \(0.178743\pi\) | |||||||
\(840\) | −3.14297e7 | − | 1.09369e9i | −0.00182963 | − | 0.0636672i | ||||
\(841\) | 3.31169e9 | − | 5.73602e9i | 0.191984 | − | 0.332525i | ||||
\(842\) | −8.19129e9 | −0.472890 | ||||||||
\(843\) | −1.32378e9 | + | 2.29286e9i | −0.0761063 | + | 0.131820i | ||||
\(844\) | −1.38252e10 | − | 2.39459e10i | −0.791539 | − | 1.37099i | ||||
\(845\) | 1.33018e10 | − | 4.13888e9i | 0.758424 | − | 0.235985i | ||||
\(846\) | −1.81097e9 | −0.102829 | ||||||||
\(847\) | −4.41605e8 | − | 1.53669e10i | −0.0249713 | − | 0.868949i | ||||
\(848\) | −1.88054e9 | − | 3.25719e9i | −0.105900 | − | 0.183425i | ||||
\(849\) | 1.65271e9 | + | 2.86257e9i | 0.0926869 | + | 0.160538i | ||||
\(850\) | 4.56458e9 | + | 7.90609e9i | 0.254938 | + | 0.441566i | ||||
\(851\) | −1.55390e9 | −0.0864310 | ||||||||
\(852\) | −2.67929e7 | − | 4.64067e7i | −0.00148416 | − | 0.00257064i | ||||
\(853\) | −1.63173e9 | −0.0900173 | −0.0450087 | − | 0.998987i | \(-0.514332\pi\) | ||||
−0.0450087 | + | 0.998987i | \(0.514332\pi\) | |||||||
\(854\) | 5.19286e8 | + | 1.80700e10i | 0.0285302 | + | 0.992789i | ||||
\(855\) | −9.21762e9 | − | 1.59654e10i | −0.504356 | − | 0.873571i | ||||
\(856\) | −1.59762e10 | −0.870593 | ||||||||
\(857\) | 1.12607e10 | + | 1.95041e10i | 0.611127 | + | 1.05850i | 0.991051 | + | 0.133485i | \(0.0426169\pi\) |
−0.379924 | + | 0.925018i | \(0.624050\pi\) | |||||||
\(858\) | −1.50709e8 | − | 9.91622e8i | −0.00814580 | − | 0.0535970i | ||||
\(859\) | −1.51118e9 | + | 2.61745e9i | −0.0813470 | + | 0.140897i | −0.903829 | − | 0.427894i | \(-0.859256\pi\) |
0.822482 | + | 0.568791i | \(0.192589\pi\) | |||||||
\(860\) | 1.58855e10 | + | 2.75145e10i | 0.851641 | + | 1.47509i | ||||
\(861\) | −4.92855e8 | − | 2.65974e8i | −0.0263153 | − | 0.0142013i | ||||
\(862\) | 7.13069e9 | − | 1.23507e10i | 0.379189 | − | 0.656775i | ||||
\(863\) | −2.30905e9 | + | 3.99939e9i | −0.122291 | + | 0.211815i | −0.920671 | − | 0.390340i | \(-0.872358\pi\) |
0.798380 | + | 0.602154i | \(0.205691\pi\) | |||||||
\(864\) | 4.04205e9 | 0.213208 | ||||||||
\(865\) | 3.57968e9 | 0.188056 | ||||||||
\(866\) | 1.16761e9 | − | 2.02236e9i | 0.0610922 | − | 0.105815i | ||||
\(867\) | −2.23377e8 | + | 3.86900e8i | −0.0116405 | + | 0.0201619i | ||||
\(868\) | 6.63028e7 | + | 2.30720e9i | 0.00344122 | + | 0.119747i | ||||
\(869\) | 3.65447e9 | + | 6.32973e9i | 0.188910 | + | 0.327202i | ||||
\(870\) | 9.07908e8 | − | 1.57254e9i | 0.0467439 | − | 0.0809627i | ||||
\(871\) | −1.93890e10 | + | 1.55012e10i | −0.994241 | + | 0.794881i | ||||
\(872\) | −7.05252e9 | − | 1.22153e10i | −0.360194 | − | 0.623874i | ||||
\(873\) | 6.27271e7 | 0.00319084 | ||||||||
\(874\) | −6.33334e9 | − | 1.09697e10i | −0.320880 | − | 0.555781i | ||||
\(875\) | −1.89645e10 | − | 1.02344e10i | −0.957003 | − | 0.516455i | ||||
\(876\) | 3.87954e9 | 0.194992 | ||||||||
\(877\) | −1.92051e10 | − | 3.32642e10i | −0.961431 | − | 1.66525i | −0.718912 | − | 0.695101i | \(-0.755360\pi\) |
−0.242519 | − | 0.970147i | \(-0.577974\pi\) | |||||||
\(878\) | −2.43568e10 | −1.21448 | ||||||||
\(879\) | 5.32585e7 | + | 9.22463e7i | 0.00264501 | + | 0.00458129i | ||||
\(880\) | −5.20450e8 | − | 9.01446e8i | −0.0257448 | − | 0.0445913i | ||||
\(881\) | −1.22756e10 | − | 2.12620e10i | −0.604822 | − | 1.04758i | −0.992080 | − | 0.125611i | \(-0.959911\pi\) |
0.387257 | − | 0.921972i | \(-0.373422\pi\) | |||||||
\(882\) | 1.44514e10 | − | 2.87236e10i | 0.709201 | − | 1.40961i | ||||
\(883\) | −5.51635e9 | −0.269643 | −0.134822 | − | 0.990870i | \(-0.543046\pi\) | ||||
−0.134822 | + | 0.990870i | \(0.543046\pi\) | |||||||
\(884\) | −2.54722e10 | − | 9.96100e9i | −1.24018 | − | 0.484976i | ||||
\(885\) | 5.15487e7 | + | 8.92849e7i | 0.00249986 | + | 0.00432989i | ||||
\(886\) | 1.12249e10 | − | 1.94421e10i | 0.542205 | − | 0.939127i | ||||
\(887\) | −3.35871e9 | −0.161599 | −0.0807997 | − | 0.996730i | \(-0.525747\pi\) | ||||
−0.0807997 | + | 0.996730i | \(0.525747\pi\) | |||||||
\(888\) | −2.29855e8 | + | 3.98120e8i | −0.0110156 | + | 0.0190796i | ||||
\(889\) | −5.85690e7 | − | 2.03807e9i | −0.00279583 | − | 0.0972890i | ||||
\(890\) | −8.12598e9 | + | 1.40746e10i | −0.386377 | + | 0.669224i | ||||
\(891\) | −3.71524e9 | − | 6.43499e9i | −0.175960 | − | 0.304772i | ||||
\(892\) | −1.42387e10 | − | 2.46621e10i | −0.671727 | − | 1.16347i | ||||
\(893\) | −1.77687e9 | −0.0834981 | ||||||||
\(894\) | 1.81803e9 | 0.0850981 | ||||||||
\(895\) | −7.56058e9 | − | 1.30953e10i | −0.352512 | − | 0.610569i | ||||
\(896\) | −2.76509e10 | − | 1.49221e10i | −1.28420 | − | 0.693028i | ||||
\(897\) | −5.00283e8 | + | 3.99969e8i | −0.0231442 | + | 0.0185034i | ||||
\(898\) | 2.06967e10 | − | 3.58477e10i | 0.953748 | − | 1.65194i | ||||
\(899\) | −6.67330e8 | + | 1.15585e9i | −0.0306325 | + | 0.0530570i | ||||
\(900\) | −6.13949e9 | + | 1.06339e10i | −0.280727 | + | 0.486233i | ||||
\(901\) | −1.12504e10 | − | 1.94862e10i | −0.512425 | − | 0.887546i | ||||
\(902\) | 4.02734e9 | 0.182724 | ||||||||
\(903\) | −8.36481e7 | − | 2.91077e9i | −0.00378050 | − | 0.131553i | ||||
\(904\) | 1.51409e10 | − | 2.62248e10i | 0.681650 | − | 1.18065i | ||||
\(905\) | −1.33010e10 | + | 2.30379e10i | −0.596503 | + | 1.03317i | ||||
\(906\) | −3.65409e9 | −0.163241 | ||||||||
\(907\) | 1.33660e10 | − | 2.31506e10i | 0.594807 | − | 1.03024i | −0.398767 | − | 0.917052i | \(-0.630562\pi\) |
0.993574 | − | 0.113184i | \(-0.0361049\pi\) | |||||||
\(908\) | 1.73654e10 | 0.769811 | ||||||||
\(909\) | 3.86317e10 | 1.70596 | ||||||||
\(910\) | 2.82847e10 | − | 5.13402e9i | 1.24425 | − | 0.225846i | ||||
\(911\) | −3.33269e10 | −1.46043 | −0.730216 | − | 0.683217i | \(-0.760580\pi\) | ||||
−0.730216 | + | 0.683217i | \(0.760580\pi\) | |||||||
\(912\) | 4.95751e8 | 0.0216412 | ||||||||
\(913\) | −5.03339e9 | + | 8.71808e9i | −0.218883 | + | 0.379117i | ||||
\(914\) | 2.42005e10 | 1.04836 | ||||||||
\(915\) | 5.40753e8 | − | 9.36612e8i | 0.0233359 | − | 0.0404190i | ||||
\(916\) | 7.63913e7 | − | 1.32314e8i | 0.00328405 | − | 0.00568814i | ||||
\(917\) | −1.41361e10 | + | 8.71226e9i | −0.605392 | + | 0.373111i | ||||
\(918\) | 6.07255e9 | 0.259073 | ||||||||
\(919\) | −1.15778e10 | − | 2.00533e10i | −0.492063 | − | 0.852278i | 0.507895 | − | 0.861419i | \(-0.330424\pi\) |
−0.999958 | + | 0.00914063i | \(0.997090\pi\) | |||||||
\(920\) | 2.51225e9 | − | 4.35134e9i | 0.106367 | − | 0.184232i | ||||
\(921\) | −1.01426e9 | + | 1.75675e9i | −0.0427799 | + | 0.0740970i | ||||
\(922\) | −3.49876e10 | + | 6.06003e10i | −1.47013 | + | 2.54634i | ||||
\(923\) | 3.83144e8 | − | 3.06318e8i | 0.0160382 | − | 0.0128223i | ||||
\(924\) | −3.59988e7 | − | 1.25268e9i | −0.00150119 | − | 0.0522382i | ||||
\(925\) | 1.22050e9 | + | 2.11397e9i | 0.0507039 | + | 0.0878217i | ||||
\(926\) | 3.65156e10 | 1.51126 | ||||||||
\(927\) | −3.16228e10 | −1.30383 | ||||||||
\(928\) | −1.08614e10 | − | 1.88126e10i | −0.446138 | − | 0.772734i | ||||
\(929\) | −1.11470e10 | − | 1.93072e10i | −0.456147 | − | 0.790069i | 0.542607 | − | 0.839987i | \(-0.317437\pi\) |
−0.998753 | + | 0.0499177i | \(0.984104\pi\) | |||||||
\(930\) | 1.14031e8 | − | 1.97508e8i | 0.00464871 | − | 0.00805181i | ||||
\(931\) | 1.41793e10 | − | 2.81828e10i | 0.575880 | − | 1.14462i | ||||
\(932\) | −1.62921e10 | + | 2.82187e10i | −0.659206 | + | 1.14178i | ||||
\(933\) | 2.67567e9 | 0.107857 | ||||||||
\(934\) | 7.85573e9 | − | 1.36065e10i | 0.315480 | − | 0.546428i | ||||
\(935\) | −3.11361e9 | − | 5.39292e9i | −0.124573 | − | 0.215766i | ||||
\(936\) | −3.18081e9 | − | 2.09288e10i | −0.126786 | − | 0.834219i | ||||
\(937\) | 2.91339e10 | 1.15694 | 0.578469 | − | 0.815705i | \(-0.303651\pi\) | ||||
0.578469 | + | 0.815705i | \(0.303651\pi\) | |||||||
\(938\) | −4.36080e10 | + | 2.68762e10i | −1.72527 | + | 1.06331i | ||||
\(939\) | 5.93507e8 | + | 1.02798e9i | 0.0233936 | + | 0.0405188i | ||||
\(940\) | −1.01146e9 | − | 1.75190e9i | −0.0397192 | − | 0.0687958i | ||||
\(941\) | −4.62060e8 | − | 8.00312e8i | −0.0180774 | − | 0.0313109i | 0.856845 | − | 0.515574i | \(-0.172421\pi\) |
−0.874923 | + | 0.484263i | \(0.839088\pi\) | |||||||
\(942\) | 3.77003e9 | 0.146949 | ||||||||
\(943\) | −1.28591e9 | − | 2.22726e9i | −0.0499368 | − | 0.0864930i | ||||
\(944\) | 3.09726e8 | 0.0119833 | ||||||||
\(945\) | −3.28989e9 | + | 2.02761e9i | −0.126815 | + | 0.0781577i | ||||
\(946\) | 1.04702e10 | + | 1.81349e10i | 0.402101 | + | 0.696460i | ||||
\(947\) | −7.49425e9 | −0.286750 | −0.143375 | − | 0.989668i | \(-0.545795\pi\) | ||||
−0.143375 | + | 0.989668i | \(0.545795\pi\) | |||||||
\(948\) | −1.98153e9 | − | 3.43211e9i | −0.0755390 | − | 0.130837i | ||||
\(949\) | 5.33630e9 | + | 3.51113e10i | 0.202679 | + | 1.33357i | ||||
\(950\) | −9.94896e9 | + | 1.72321e10i | −0.376483 | + | 0.652087i | ||||
\(951\) | −1.21812e9 | − | 2.10984e9i | −0.0459259 | − | 0.0795461i | ||||
\(952\) | −1.73055e10 | − | 9.33908e9i | −0.650063 | − | 0.350812i | ||||
\(953\) | −7.55645e9 | + | 1.30882e10i | −0.282809 | + | 0.489839i | −0.972075 | − | 0.234669i | \(-0.924600\pi\) |
0.689267 | + | 0.724508i | \(0.257933\pi\) | |||||||
\(954\) | 2.49918e10 | − | 4.32870e10i | 0.931918 | − | 1.61413i | ||||
\(955\) | 3.59452e10 | 1.33546 | ||||||||
\(956\) | −9.18410e9 | −0.339965 | ||||||||
\(957\) | 3.62324e8 | − | 6.27563e8i | 0.0133630 | − | 0.0231454i | ||||
\(958\) | −2.35090e10 | + | 4.07187e10i | −0.863881 | + | 1.49629i | ||||
\(959\) | −1.91503e10 | − | 1.03347e10i | −0.701151 | − | 0.378382i | ||||
\(960\) | 1.67209e9 | + | 2.89614e9i | 0.0609973 | + | 0.105650i | ||||
\(961\) | 1.36725e10 | − | 2.36815e10i | 0.496954 | − | 0.860749i | ||||
\(962\) | −1.12487e10 | − | 4.39884e9i | −0.407369 | − | 0.159303i | ||||
\(963\) | 1.40442e10 | + | 2.43253e10i | 0.506764 | + | 0.877742i | ||||
\(964\) | 5.34953e10 | 1.92329 | ||||||||
\(965\) | 1.55820e10 | + | 2.69888e10i | 0.558185 | + | 0.966804i | ||||
\(966\) | −1.12519e9 | + | 6.93471e8i | −0.0401612 | + | 0.0247519i | ||||
\(967\) | −7.82699e9 | −0.278357 | −0.139179 | − | 0.990267i | \(-0.544446\pi\) | ||||
−0.139179 | + | 0.990267i | \(0.544446\pi\) | |||||||
\(968\) | −1.04428e10 | − | 1.80874e10i | −0.370043 | − | 0.640933i | ||||
\(969\) | 2.96584e9 | 0.104716 | ||||||||
\(970\) | 5.78618e7 | + | 1.00220e8i | 0.00203559 | + | 0.00352575i | ||||
\(971\) | 2.32937e10 | + | 4.03459e10i | 0.816529 | + | 1.41427i | 0.908225 | + | 0.418482i | \(0.137438\pi\) |
−0.0916962 | + | 0.995787i | \(0.529229\pi\) | |||||||
\(972\) | 6.13492e9 | + | 1.06260e10i | 0.214278 | + | 0.371140i | ||||
\(973\) | 2.53961e10 | − | 1.56519e10i | 0.883835 | − | 0.544719i | ||||
\(974\) | −6.97232e10 | −2.41780 | ||||||||
\(975\) | 9.37071e8 | + | 3.66446e8i | 0.0323785 | + | 0.0126617i | ||||
\(976\) | −1.62453e9 | − | 2.81378e9i | −0.0559313 | − | 0.0968758i | ||||
\(977\) | 1.09282e10 | − | 1.89283e10i | 0.374903 | − | 0.649352i | −0.615409 | − | 0.788208i | \(-0.711009\pi\) |
0.990313 | + | 0.138856i | \(0.0443425\pi\) | |||||||
\(978\) | −5.43522e9 | −0.185794 | ||||||||
\(979\) | −3.24288e9 | + | 5.61683e9i | −0.110456 | + | 0.191316i | ||||
\(980\) | 3.58581e10 | − | 2.06264e9i | 1.21702 | − | 0.0700055i | ||||
\(981\) | −1.23993e10 | + | 2.14763e10i | −0.419331 | + | 0.726303i | ||||
\(982\) | 4.46620e10 | + | 7.73569e10i | 1.50504 | + | 2.60681i | ||||
\(983\) | 2.07444e10 | + | 3.59304e10i | 0.696568 | + | 1.20649i | 0.969649 | + | 0.244500i | \(0.0786240\pi\) |
−0.273081 | + | 0.961991i | \(0.588043\pi\) | |||||||
\(984\) | −7.60855e8 | −0.0254577 | ||||||||
\(985\) | −6.75198e9 | −0.225115 | ||||||||
\(986\) | −1.63176e10 | − | 2.82629e10i | −0.542110 | − | 0.938962i | ||||
\(987\) | 5.32603e6 | + | 1.85334e8i | 0.000176317 | + | 0.00613544i | ||||
\(988\) | −8.95730e9 | − | 5.89365e10i | −0.295480 | − | 1.94417i | ||||
\(989\) | 6.68618e9 | − | 1.15808e10i | 0.219781 | − | 0.380673i | ||||
\(990\) | 6.91662e9 | − | 1.19799e10i | 0.226553 | − | 0.392402i | ||||
\(991\) | 2.26375e10 | − | 3.92093e10i | 0.738875 | − | 1.27977i | −0.214128 | − | 0.976806i | \(-0.568691\pi\) |
0.953002 | − | 0.302963i | \(-0.0979758\pi\) | |||||||
\(992\) | −1.36417e9 | − | 2.36281e9i | −0.0443688 | − | 0.0768490i | ||||
\(993\) | −1.48376e8 | −0.00480884 | ||||||||
\(994\) | 8.61734e8 | − | 5.31098e8i | 0.0278305 | − | 0.0171523i | ||||
\(995\) | 6.22910e8 | − | 1.07891e9i | 0.0200468 | − | 0.0347220i | ||||
\(996\) | 2.72921e9 | − | 4.72713e9i | 0.0875243 | − | 0.151597i | ||||
\(997\) | 1.38073e10 | 0.441241 | 0.220621 | − | 0.975360i | \(-0.429192\pi\) | ||||
0.220621 | + | 0.975360i | \(0.429192\pi\) | |||||||
\(998\) | −4.20052e10 | + | 7.27552e10i | −1.33766 | + | 2.31690i | ||||
\(999\) | 1.62371e9 | 0.0515262 |
(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 | 91.8.h.a.16.9 | yes | 126 | |
7.4 | even | 3 | 91.8.g.a.81.55 | yes | 126 | ||
13.9 | even | 3 | 91.8.g.a.9.55 | ✓ | 126 | ||
91.74 | even | 3 | inner | 91.8.h.a.74.9 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.g.a.9.55 | ✓ | 126 | 13.9 | even | 3 | ||
91.8.g.a.81.55 | yes | 126 | 7.4 | even | 3 | ||
91.8.h.a.16.9 | yes | 126 | 1.1 | even | 1 | trivial | |
91.8.h.a.74.9 | yes | 126 | 91.74 | even | 3 | inner |