Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,7,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.22075717068\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 285x^{6} + 282x^{5} + 62091x^{4} + 29260x^{3} + 4838750x^{2} + 2401000x + 294122500 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Root | \(-6.30576 + 10.9219i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.7.d.a.5.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.82843 | + | 4.89898i | 0.353553 | + | 0.612372i | ||||
\(3\) | −36.7384 | − | 21.2109i | −1.36068 | − | 0.785589i | −0.370966 | − | 0.928647i | \(-0.620973\pi\) |
−0.989714 | + | 0.143057i | \(0.954307\pi\) | |||||||
\(4\) | −16.0000 | + | 27.7128i | −0.250000 | + | 0.433013i | ||||
\(5\) | −162.347 | + | 93.7310i | −1.29877 | + | 0.749848i | −0.980192 | − | 0.198047i | \(-0.936540\pi\) |
−0.318582 | + | 0.947895i | \(0.603207\pi\) | |||||||
\(6\) | − | 239.974i | − | 1.11099i | ||||||
\(7\) | 141.244 | − | 312.569i | 0.411789 | − | 0.911279i | ||||
\(8\) | −181.019 | −0.353553 | ||||||||
\(9\) | 535.305 | + | 927.175i | 0.734300 | + | 1.27185i | ||||
\(10\) | −918.372 | − | 530.222i | −0.918372 | − | 0.530222i | ||||
\(11\) | −555.924 | + | 962.889i | −0.417674 | + | 0.723432i | −0.995705 | − | 0.0925823i | \(-0.970488\pi\) |
0.578031 | + | 0.816015i | \(0.303821\pi\) | |||||||
\(12\) | 1175.63 | − | 678.749i | 0.680340 | − | 0.392795i | ||||
\(13\) | 706.517i | 0.321583i | 0.986988 | + | 0.160791i | \(0.0514046\pi\) | ||||
−0.986988 | + | 0.160791i | \(0.948595\pi\) | |||||||
\(14\) | 1930.77 | − | 192.128i | 0.703632 | − | 0.0700176i | ||||
\(15\) | 7952.48 | 2.35629 | ||||||||
\(16\) | −512.000 | − | 886.810i | −0.125000 | − | 0.216506i | ||||
\(17\) | −7334.73 | − | 4234.71i | −1.49292 | − | 0.861939i | −0.492955 | − | 0.870055i | \(-0.664083\pi\) |
−0.999967 | + | 0.00811595i | \(0.997417\pi\) | |||||||
\(18\) | −3028.14 | + | 5244.90i | −0.519229 | + | 0.899331i | ||||
\(19\) | 22.0061 | − | 12.7052i | 0.00320835 | − | 0.00185234i | −0.498395 | − | 0.866950i | \(-0.666077\pi\) |
0.501603 | + | 0.865098i | \(0.332744\pi\) | |||||||
\(20\) | − | 5998.78i | − | 0.749848i | ||||||
\(21\) | −11818.9 | + | 8487.36i | −1.27620 | + | 0.916463i | ||||
\(22\) | −6289.56 | −0.590680 | ||||||||
\(23\) | 424.738 | + | 735.668i | 0.0349090 | + | 0.0604642i | 0.882952 | − | 0.469463i | \(-0.155553\pi\) |
−0.848043 | + | 0.529927i | \(0.822219\pi\) | |||||||
\(24\) | 6650.35 | + | 3839.58i | 0.481073 | + | 0.277748i | ||||
\(25\) | 9758.49 | − | 16902.2i | 0.624543 | − | 1.08174i | ||||
\(26\) | −3461.21 | + | 1998.33i | −0.196928 | + | 0.113697i | ||||
\(27\) | − | 14491.7i | − | 0.736255i | ||||||
\(28\) | 6402.26 | + | 8915.36i | 0.291648 | + | 0.406130i | ||||
\(29\) | −15109.4 | −0.619518 | −0.309759 | − | 0.950815i | \(-0.600248\pi\) | ||||
−0.309759 | + | 0.950815i | \(0.600248\pi\) | |||||||
\(30\) | 22493.0 | + | 38959.0i | 0.833074 | + | 1.44293i | ||||
\(31\) | −1205.81 | − | 696.173i | −0.0404755 | − | 0.0233686i | 0.479626 | − | 0.877473i | \(-0.340772\pi\) |
−0.520101 | + | 0.854105i | \(0.674106\pi\) | |||||||
\(32\) | 2896.31 | − | 5016.55i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 40847.5 | − | 23583.3i | 1.13664 | − | 0.656240i | ||||
\(34\) | − | 47910.2i | − | 1.21897i | ||||||
\(35\) | 6366.92 | + | 63983.4i | 0.148500 | + | 1.49233i | ||||
\(36\) | −34259.5 | −0.734300 | ||||||||
\(37\) | 4646.47 | + | 8047.92i | 0.0917313 | + | 0.158883i | 0.908240 | − | 0.418450i | \(-0.137427\pi\) |
−0.816508 | + | 0.577334i | \(0.804093\pi\) | |||||||
\(38\) | 124.485 | + | 71.8716i | 0.00226865 | + | 0.00130981i | ||||
\(39\) | 14985.9 | − | 25956.3i | 0.252632 | − | 0.437571i | ||||
\(40\) | 29387.9 | − | 16967.1i | 0.459186 | − | 0.265111i | ||||
\(41\) | 109829.i | 1.59356i | 0.604272 | + | 0.796778i | \(0.293464\pi\) | ||||
−0.604272 | + | 0.796778i | \(0.706536\pi\) | |||||||
\(42\) | −75008.4 | − | 33894.8i | −1.01242 | − | 0.457494i | ||||
\(43\) | −45569.8 | −0.573155 | −0.286577 | − | 0.958057i | \(-0.592518\pi\) | ||||
−0.286577 | + | 0.958057i | \(0.592518\pi\) | |||||||
\(44\) | −17789.6 | − | 30812.4i | −0.208837 | − | 0.361716i | ||||
\(45\) | −173810. | − | 100349.i | −1.90738 | − | 1.10123i | ||||
\(46\) | −2402.68 | + | 4161.56i | −0.0246844 | + | 0.0427546i | ||||
\(47\) | 119865. | − | 69204.2i | 1.15451 | − | 0.666559i | 0.204531 | − | 0.978860i | \(-0.434433\pi\) |
0.949983 | + | 0.312301i | \(0.101100\pi\) | |||||||
\(48\) | 43439.9i | 0.392795i | ||||||||
\(49\) | −77749.5 | − | 88296.7i | −0.660860 | − | 0.750510i | ||||
\(50\) | 110405. | 0.883238 | ||||||||
\(51\) | 179644. | + | 311152.i | 1.35426 | + | 2.34565i | ||||
\(52\) | −19579.6 | − | 11304.3i | −0.139249 | − | 0.0803957i | ||||
\(53\) | −30937.9 | + | 53586.1i | −0.207809 | + | 0.359935i | −0.951024 | − | 0.309117i | \(-0.899966\pi\) |
0.743215 | + | 0.669052i | \(0.233300\pi\) | |||||||
\(54\) | 70994.6 | − | 40988.8i | 0.450863 | − | 0.260306i | ||||
\(55\) | − | 208429.i | − | 1.25277i | ||||||
\(56\) | −25567.8 | + | 56581.0i | −0.145589 | + | 0.322186i | ||||
\(57\) | −1077.96 | −0.00582073 | ||||||||
\(58\) | −42735.9 | − | 74020.8i | −0.219033 | − | 0.379376i | ||||
\(59\) | 68015.2 | + | 39268.6i | 0.331169 | + | 0.191201i | 0.656360 | − | 0.754448i | \(-0.272095\pi\) |
−0.325191 | + | 0.945648i | \(0.605429\pi\) | |||||||
\(60\) | −127240. | + | 220385.i | −0.589072 | + | 1.02030i | ||||
\(61\) | −151296. | + | 87350.5i | −0.666556 | + | 0.384836i | −0.794770 | − | 0.606910i | \(-0.792409\pi\) |
0.128214 | + | 0.991746i | \(0.459075\pi\) | |||||||
\(62\) | − | 7876.29i | − | 0.0330481i | ||||||
\(63\) | 365415. | − | 36362.0i | 1.46138 | − | 0.145421i | ||||
\(64\) | 32768.0 | 0.125000 | ||||||||
\(65\) | −66222.6 | − | 114701.i | −0.241138 | − | 0.417664i | ||||
\(66\) | 231068. | + | 133407.i | 0.803727 | + | 0.464032i | ||||
\(67\) | 217974. | − | 377543.i | 0.724738 | − | 1.25528i | −0.234344 | − | 0.972154i | \(-0.575294\pi\) |
0.959082 | − | 0.283129i | \(-0.0913725\pi\) | |||||||
\(68\) | 234711. | − | 135511.i | 0.746461 | − | 0.430969i | ||||
\(69\) | − | 36036.3i | − | 0.109697i | ||||||
\(70\) | −295445. | + | 212164.i | −0.861356 | + | 0.618554i | ||||
\(71\) | −561559. | −1.56899 | −0.784495 | − | 0.620135i | \(-0.787078\pi\) | ||||
−0.784495 | + | 0.620135i | \(0.787078\pi\) | |||||||
\(72\) | −96900.6 | − | 167837.i | −0.259614 | − | 0.449665i | ||||
\(73\) | −192170. | − | 110949.i | −0.493988 | − | 0.285204i | 0.232239 | − | 0.972659i | \(-0.425395\pi\) |
−0.726227 | + | 0.687454i | \(0.758728\pi\) | |||||||
\(74\) | −26284.4 | + | 45525.9i | −0.0648639 | + | 0.112347i | ||||
\(75\) | −717022. | + | 413973.i | −1.69961 | + | 0.981269i | ||||
\(76\) | 813.135i | 0.00185234i | ||||||||
\(77\) | 222448. | + | 309766.i | 0.487255 | + | 0.678519i | ||||
\(78\) | 169546. | 0.357275 | ||||||||
\(79\) | −333239. | − | 577187.i | −0.675888 | − | 1.17067i | −0.976208 | − | 0.216834i | \(-0.930427\pi\) |
0.300320 | − | 0.953838i | \(-0.402906\pi\) | |||||||
\(80\) | 166243. | + | 95980.5i | 0.324694 | + | 0.187462i | ||||
\(81\) | 82854.9 | − | 143509.i | 0.155906 | − | 0.270037i | ||||
\(82\) | −538052. | + | 310645.i | −0.975850 | + | 0.563407i | ||||
\(83\) | 653635.i | 1.14314i | 0.820552 | + | 0.571572i | \(0.193666\pi\) | ||||
−0.820552 | + | 0.571572i | \(0.806334\pi\) | |||||||
\(84\) | −46105.8 | − | 463333.i | −0.0777889 | − | 0.781728i | ||||
\(85\) | 1.58769e6 | 2.58529 | ||||||||
\(86\) | −128891. | − | 223245.i | −0.202641 | − | 0.350984i | ||||
\(87\) | 555096. | + | 320485.i | 0.842966 | + | 0.486687i | ||||
\(88\) | 100633. | − | 174301.i | 0.147670 | − | 0.255772i | ||||
\(89\) | 114603. | − | 66165.9i | 0.162564 | − | 0.0938565i | −0.416511 | − | 0.909131i | \(-0.636747\pi\) |
0.579075 | + | 0.815274i | \(0.303414\pi\) | |||||||
\(90\) | − | 1.13532e6i | − | 1.55737i | ||||||
\(91\) | 220835. | + | 99791.1i | 0.293052 | + | 0.132424i | ||||
\(92\) | −27183.2 | −0.0349090 | ||||||||
\(93\) | 29532.9 | + | 51152.5i | 0.0367162 | + | 0.0635943i | ||||
\(94\) | 678060. | + | 391478.i | 0.816365 | + | 0.471329i | ||||
\(95\) | −2381.75 | + | 4125.31i | −0.00277795 | + | 0.00481156i | ||||
\(96\) | −212811. | + | 122867.i | −0.240537 | + | 0.138874i | ||||
\(97\) | 1.59480e6i | 1.74739i | 0.486470 | + | 0.873697i | \(0.338284\pi\) | ||||
−0.486470 | + | 0.873697i | \(0.661716\pi\) | |||||||
\(98\) | 212655. | − | 630634.i | 0.225942 | − | 0.670037i | ||||
\(99\) | −1.19036e6 | −1.22679 | ||||||||
\(100\) | 312272. | + | 540870.i | 0.312272 | + | 0.540870i | ||||
\(101\) | −1.12882e6 | − | 651726.i | −1.09562 | − | 0.632559i | −0.160556 | − | 0.987027i | \(-0.551329\pi\) |
−0.935068 | + | 0.354468i | \(0.884662\pi\) | |||||||
\(102\) | −1.01622e6 | + | 1.76014e6i | −0.957606 | + | 1.65862i | ||||
\(103\) | −5747.87 | + | 3318.53i | −0.00526011 | + | 0.00303693i | −0.502628 | − | 0.864503i | \(-0.667633\pi\) |
0.497368 | + | 0.867540i | \(0.334300\pi\) | |||||||
\(104\) | − | 127893.i | − | 0.113697i | ||||||
\(105\) | 1.12324e6 | − | 2.48570e6i | 0.970294 | − | 2.14724i | ||||
\(106\) | −350023. | −0.293886 | ||||||||
\(107\) | −655988. | − | 1.13620e6i | −0.535482 | − | 0.927481i | −0.999140 | − | 0.0414673i | \(-0.986797\pi\) |
0.463658 | − | 0.886014i | \(-0.346537\pi\) | |||||||
\(108\) | 401606. | + | 231867.i | 0.318808 | + | 0.184064i | ||||
\(109\) | −771304. | + | 1.33594e6i | −0.595589 | + | 1.03159i | 0.397875 | + | 0.917440i | \(0.369748\pi\) |
−0.993464 | + | 0.114150i | \(0.963586\pi\) | |||||||
\(110\) | 1.02109e6 | − | 589527.i | 0.767160 | − | 0.442920i | ||||
\(111\) | − | 394223.i | − | 0.288253i | ||||||
\(112\) | −349506. | + | 34778.9i | −0.248771 | + | 0.0247549i | ||||
\(113\) | 1.02212e6 | 0.708382 | 0.354191 | − | 0.935173i | \(-0.384756\pi\) | ||||
0.354191 | + | 0.935173i | \(0.384756\pi\) | |||||||
\(114\) | −3048.93 | − | 5280.89i | −0.00205794 | − | 0.00356445i | ||||
\(115\) | −137910. | − | 79622.2i | −0.0906779 | − | 0.0523529i | ||||
\(116\) | 241751. | − | 418725.i | 0.154880 | − | 0.268259i | ||||
\(117\) | −655066. | + | 378202.i | −0.409004 | + | 0.236138i | ||||
\(118\) | 444274.i | 0.270399i | ||||||||
\(119\) | −2.35962e6 | + | 1.69448e6i | −1.40024 | + | 1.00553i | ||||
\(120\) | −1.43955e6 | −0.833074 | ||||||||
\(121\) | 267678. | + | 463631.i | 0.151097 | + | 0.261708i | ||||
\(122\) | −855857. | − | 494129.i | −0.471326 | − | 0.272120i | ||||
\(123\) | 2.32958e6 | − | 4.03495e6i | 1.25188 | − | 2.16832i | ||||
\(124\) | 38585.8 | − | 22277.5i | 0.0202378 | − | 0.0116843i | ||||
\(125\) | 729599.i | 0.373554i | ||||||||
\(126\) | 1.21168e6 | + | 1.68731e6i | 0.605729 | + | 0.843497i | ||||
\(127\) | 752429. | 0.367329 | 0.183664 | − | 0.982989i | \(-0.441204\pi\) | ||||
0.183664 | + | 0.982989i | \(0.441204\pi\) | |||||||
\(128\) | 92681.9 | + | 160530.i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.67416e6 | + | 966577.i | 0.779880 | + | 0.450264i | ||||
\(130\) | 374611. | − | 648846.i | 0.170510 | − | 0.295333i | ||||
\(131\) | 226468. | − | 130752.i | 0.100738 | − | 0.0581611i | −0.448785 | − | 0.893640i | \(-0.648143\pi\) |
0.549523 | + | 0.835479i | \(0.314810\pi\) | |||||||
\(132\) | 1.50933e6i | 0.656240i | ||||||||
\(133\) | −863.036 | − | 8672.95i | −0.000366838 | − | 0.00368648i | ||||
\(134\) | 2.46610e6 | 1.02493 | ||||||||
\(135\) | 1.35832e6 | + | 2.35268e6i | 0.552080 | + | 0.956230i | ||||
\(136\) | 1.32773e6 | + | 766564.i | 0.527828 | + | 0.304741i | ||||
\(137\) | 349472. | − | 605303.i | 0.135910 | − | 0.235402i | −0.790035 | − | 0.613062i | \(-0.789938\pi\) |
0.925945 | + | 0.377659i | \(0.123271\pi\) | |||||||
\(138\) | 176541. | − | 101926.i | 0.0671751 | − | 0.0387836i | ||||
\(139\) | − | 1.60298e6i | − | 0.596875i | −0.954429 | − | 0.298438i | \(-0.903535\pi\) | ||
0.954429 | − | 0.298438i | \(-0.0964655\pi\) | |||||||
\(140\) | −1.87503e6 | − | 847290.i | −0.683321 | − | 0.308779i | ||||
\(141\) | −5.87153e6 | −2.09457 | ||||||||
\(142\) | −1.58833e6 | − | 2.75106e6i | −0.554722 | − | 0.960806i | ||||
\(143\) | −680297. | − | 392770.i | −0.232643 | − | 0.134317i | ||||
\(144\) | 548152. | − | 949428.i | 0.183575 | − | 0.317961i | ||||
\(145\) | 2.45297e6 | − | 1.41622e6i | 0.804614 | − | 0.464544i | ||||
\(146\) | − | 1.25525e6i | − | 0.403340i | ||||||
\(147\) | 983535. | + | 4.89301e6i | 0.309626 | + | 1.54037i | ||||
\(148\) | −297374. | −0.0917313 | ||||||||
\(149\) | 2.08601e6 | + | 3.61308e6i | 0.630607 | + | 1.09224i | 0.987428 | + | 0.158070i | \(0.0505272\pi\) |
−0.356821 | + | 0.934173i | \(0.616139\pi\) | |||||||
\(150\) | −4.05609e6 | − | 2.34178e6i | −1.20180 | − | 0.693862i | ||||
\(151\) | −3.10233e6 | + | 5.37339e6i | −0.901067 | + | 1.56069i | −0.0749560 | + | 0.997187i | \(0.523882\pi\) |
−0.826111 | + | 0.563507i | \(0.809452\pi\) | |||||||
\(152\) | −3983.53 | + | 2299.89i | −0.00113432 | + | 0.000654903i | ||||
\(153\) | − | 9.06744e6i | − | 2.53169i | ||||||
\(154\) | −888361. | + | 1.96592e6i | −0.243236 | + | 0.538274i | ||||
\(155\) | 261012. | 0.0700914 | ||||||||
\(156\) | 479548. | + | 830601.i | 0.126316 | + | 0.218786i | ||||
\(157\) | −1.70467e6 | − | 984193.i | −0.440496 | − | 0.254320i | 0.263312 | − | 0.964711i | \(-0.415185\pi\) |
−0.703808 | + | 0.710390i | \(0.748518\pi\) | |||||||
\(158\) | 1.88509e6 | − | 3.26506e6i | 0.477925 | − | 0.827790i | ||||
\(159\) | 2.27322e6 | − | 1.31244e6i | 0.565522 | − | 0.326504i | ||||
\(160\) | 1.08590e6i | 0.265111i | ||||||||
\(161\) | 289938. | − | 28851.4i | 0.0694749 | − | 0.00691337i | ||||
\(162\) | 937397. | 0.220485 | ||||||||
\(163\) | −609352. | − | 1.05543e6i | −0.140704 | − | 0.243706i | 0.787058 | − | 0.616879i | \(-0.211603\pi\) |
−0.927762 | + | 0.373173i | \(0.878270\pi\) | |||||||
\(164\) | −3.04368e6 | − | 1.75727e6i | −0.690030 | − | 0.398389i | ||||
\(165\) | −4.42097e6 | + | 7.65735e6i | −0.984160 | + | 1.70462i | ||||
\(166\) | −3.20215e6 | + | 1.84876e6i | −0.700030 | + | 0.404163i | ||||
\(167\) | − | 638229.i | − | 0.137034i | −0.997650 | − | 0.0685168i | \(-0.978173\pi\) | ||
0.997650 | − | 0.0685168i | \(-0.0218267\pi\) | |||||||
\(168\) | 2.13945e6 | − | 1.53638e6i | 0.451206 | − | 0.324018i | ||||
\(169\) | 4.32764e6 | 0.896585 | ||||||||
\(170\) | 4.49067e6 | + | 7.77807e6i | 0.914039 | + | 1.58316i | ||||
\(171\) | 23560.0 | + | 13602.3i | 0.00471179 | + | 0.00272035i | ||||
\(172\) | 729117. | − | 1.26287e6i | 0.143289 | − | 0.248183i | ||||
\(173\) | 538615. | − | 310969.i | 0.104026 | − | 0.0600592i | −0.447085 | − | 0.894492i | \(-0.647538\pi\) |
0.551110 | + | 0.834432i | \(0.314204\pi\) | |||||||
\(174\) | 3.62587e6i | 0.688279i | ||||||||
\(175\) | −3.90478e6 | − | 5.43753e6i | −0.728588 | − | 1.01458i | ||||
\(176\) | 1.13853e6 | 0.208837 | ||||||||
\(177\) | −1.66585e6 | − | 2.88533e6i | −0.300410 | − | 0.520326i | ||||
\(178\) | 648291. | + | 374291.i | 0.114950 | + | 0.0663665i | ||||
\(179\) | 2.76061e6 | − | 4.78152e6i | 0.481334 | − | 0.833695i | −0.518436 | − | 0.855116i | \(-0.673486\pi\) |
0.999771 | + | 0.0214210i | \(0.00681904\pi\) | |||||||
\(180\) | 5.56192e6 | − | 3.21118e6i | 0.953691 | − | 0.550614i | ||||
\(181\) | 3.79950e6i | 0.640753i | 0.947290 | + | 0.320377i | \(0.103809\pi\) | ||||
−0.947290 | + | 0.320377i | \(0.896191\pi\) | |||||||
\(182\) | 135742. | + | 1.36412e6i | 0.0225164 | + | 0.226276i | ||||
\(183\) | 7.41114e6 | 1.20929 | ||||||||
\(184\) | −76885.8 | − | 133170.i | −0.0123422 | − | 0.0213773i | ||||
\(185\) | −1.50868e6 | − | 871036.i | −0.238277 | − | 0.137569i | ||||
\(186\) | −167063. | + | 289362.i | −0.0259622 | + | 0.0449679i | ||||
\(187\) | 8.15510e6 | − | 4.70835e6i | 1.24711 | − | 0.720019i | ||||
\(188\) | 4.42907e6i | 0.666559i | ||||||||
\(189\) | −4.52966e6 | − | 2.04686e6i | −0.670934 | − | 0.303182i | ||||
\(190\) | −26946.4 | −0.00392862 | ||||||||
\(191\) | 2.60562e6 | + | 4.51307e6i | 0.373948 | + | 0.647697i | 0.990169 | − | 0.139876i | \(-0.0446705\pi\) |
−0.616221 | + | 0.787573i | \(0.711337\pi\) | |||||||
\(192\) | −1.20384e6 | − | 695039.i | −0.170085 | − | 0.0981986i | ||||
\(193\) | 1.81264e6 | − | 3.13958e6i | 0.252138 | − | 0.436716i | −0.711976 | − | 0.702204i | \(-0.752200\pi\) |
0.964114 | + | 0.265487i | \(0.0855329\pi\) | |||||||
\(194\) | −7.81289e6 | + | 4.51078e6i | −1.07006 | + | 0.617797i | ||||
\(195\) | 5.61856e6i | 0.757742i | ||||||||
\(196\) | 3.69094e6 | − | 741909.i | 0.490195 | − | 0.0985332i | ||||
\(197\) | −6.36761e6 | −0.832871 | −0.416435 | − | 0.909165i | \(-0.636721\pi\) | ||||
−0.416435 | + | 0.909165i | \(0.636721\pi\) | |||||||
\(198\) | −3.36683e6 | − | 5.83153e6i | −0.433737 | − | 0.751254i | ||||
\(199\) | 3.64034e6 | + | 2.10175e6i | 0.461937 | + | 0.266699i | 0.712858 | − | 0.701308i | \(-0.247400\pi\) |
−0.250921 | + | 0.968007i | \(0.580734\pi\) | |||||||
\(200\) | −1.76648e6 | + | 3.05963e6i | −0.220809 | + | 0.382453i | ||||
\(201\) | −1.60160e7 | + | 9.24687e6i | −1.97227 | + | 1.13869i | ||||
\(202\) | − | 7.37343e6i | − | 0.894573i | ||||||
\(203\) | −2.13411e6 | + | 4.72274e6i | −0.255111 | + | 0.564554i | ||||
\(204\) | −1.14972e7 | −1.35426 | ||||||||
\(205\) | −1.02944e7 | − | 1.78305e7i | −1.19492 | − | 2.06967i | ||||
\(206\) | −32514.9 | − | 18772.5i | −0.00371946 | − | 0.00214743i | ||||
\(207\) | −454729. | + | 787613.i | −0.0512674 | + | 0.0887977i | ||||
\(208\) | 626547. | − | 361737.i | 0.0696247 | − | 0.0401978i | ||||
\(209\) | 28252.6i | 0.00309470i | ||||||||
\(210\) | 1.53544e7 | − | 1.52789e6i | 1.65796 | − | 0.164982i | ||||
\(211\) | −1.33548e7 | −1.42164 | −0.710822 | − | 0.703372i | \(-0.751677\pi\) | ||||
−0.710822 | + | 0.703372i | \(0.751677\pi\) | |||||||
\(212\) | −990014. | − | 1.71475e6i | −0.103904 | − | 0.179968i | ||||
\(213\) | 2.06307e7 | + | 1.19112e7i | 2.13489 | + | 1.23258i | ||||
\(214\) | 3.71083e6 | − | 6.42734e6i | 0.378643 | − | 0.655828i | ||||
\(215\) | 7.39811e6 | − | 4.27130e6i | 0.744398 | − | 0.429779i | ||||
\(216\) | 2.62328e6i | 0.260306i | ||||||||
\(217\) | −387914. | + | 278567.i | −0.0379627 | + | 0.0272616i | ||||
\(218\) | −8.72631e6 | −0.842289 | ||||||||
\(219\) | 4.70667e6 | + | 8.15219e6i | 0.448107 | + | 0.776143i | ||||
\(220\) | 5.77616e6 | + | 3.33487e6i | 0.542464 | + | 0.313192i | ||||
\(221\) | 2.99189e6 | − | 5.18211e6i | 0.277185 | − | 0.480098i | ||||
\(222\) | 1.93129e6 | − | 1.11503e6i | 0.176518 | − | 0.101913i | ||||
\(223\) | − | 6.98597e6i | − | 0.629959i | −0.949098 | − | 0.314980i | \(-0.898002\pi\) | ||
0.949098 | − | 0.314980i | \(-0.101998\pi\) | |||||||
\(224\) | −1.15893e6 | − | 1.61385e6i | −0.103113 | − | 0.143589i | ||||
\(225\) | 2.08951e7 | 1.83441 | ||||||||
\(226\) | 2.89100e6 | + | 5.00736e6i | 0.250451 | + | 0.433794i | ||||
\(227\) | −416145. | − | 240261.i | −0.0355768 | − | 0.0205403i | 0.482106 | − | 0.876113i | \(-0.339872\pi\) |
−0.517683 | + | 0.855573i | \(0.673205\pi\) | |||||||
\(228\) | 17247.3 | − | 29873.2i | 0.00145518 | − | 0.00252045i | ||||
\(229\) | −9.92126e6 | + | 5.72804e6i | −0.826153 | + | 0.476980i | −0.852534 | − | 0.522672i | \(-0.824935\pi\) |
0.0263807 | + | 0.999652i | \(0.491602\pi\) | |||||||
\(230\) | − | 900822.i | − | 0.0740382i | ||||||
\(231\) | −1.60196e6 | − | 1.60986e7i | −0.129962 | − | 1.30603i | ||||
\(232\) | 2.73510e6 | 0.219033 | ||||||||
\(233\) | −7.16013e6 | − | 1.24017e7i | −0.566048 | − | 0.980424i | −0.996951 | − | 0.0780261i | \(-0.975138\pi\) |
0.430903 | − | 0.902398i | \(-0.358195\pi\) | |||||||
\(234\) | −3.70561e6 | − | 2.13944e6i | −0.289209 | − | 0.166975i | ||||
\(235\) | −1.29732e7 | + | 2.24702e7i | −0.999636 | + | 1.73142i | ||||
\(236\) | −2.17649e6 | + | 1.25660e6i | −0.165585 | + | 0.0956004i | ||||
\(237\) | 2.82732e7i | 2.12388i | ||||||||
\(238\) | −1.49752e7 | − | 6.76702e6i | −1.11082 | − | 0.501957i | ||||
\(239\) | 9.15640e6 | 0.670704 | 0.335352 | − | 0.942093i | \(-0.391145\pi\) | ||||
0.335352 | + | 0.942093i | \(0.391145\pi\) | |||||||
\(240\) | −4.07167e6 | − | 7.05233e6i | −0.294536 | − | 0.510152i | ||||
\(241\) | 2.15763e7 | + | 1.24571e7i | 1.54144 | + | 0.889951i | 0.998748 | + | 0.0500197i | \(0.0159284\pi\) |
0.542692 | + | 0.839932i | \(0.317405\pi\) | |||||||
\(242\) | −1.51421e6 | + | 2.62269e6i | −0.106842 | + | 0.185055i | ||||
\(243\) | −1.52370e7 | + | 8.79709e6i | −1.06189 | + | 0.613084i | ||||
\(244\) | − | 5.59043e6i | − | 0.384836i | ||||||
\(245\) | 2.08985e7 | + | 7.04716e6i | 1.42108 | + | 0.479199i | ||||
\(246\) | 2.63562e7 | 1.77043 | ||||||||
\(247\) | 8976.47 | + | 15547.7i | 0.000595682 | + | 0.00103175i | ||||
\(248\) | 218274. | + | 126021.i | 0.0143103 | + | 0.00826203i | ||||
\(249\) | 1.38642e7 | − | 2.40135e7i | 0.898042 | − | 1.55545i | ||||
\(250\) | −3.57429e6 | + | 2.06362e6i | −0.228754 | + | 0.132071i | ||||
\(251\) | − | 2.06023e7i | − | 1.30285i | −0.758714 | − | 0.651424i | \(-0.774172\pi\) | ||
0.758714 | − | 0.651424i | \(-0.225828\pi\) | |||||||
\(252\) | −4.83894e6 | + | 1.07085e7i | −0.302377 | + | 0.669153i | ||||
\(253\) | −944488. | −0.0583223 | ||||||||
\(254\) | 2.12819e6 | + | 3.68614e6i | 0.129870 | + | 0.224942i | ||||
\(255\) | −5.83292e7 | − | 3.36764e7i | −3.51776 | − | 2.03098i | ||||
\(256\) | −524288. | + | 908093.i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.07717e7 | − | 6.21904e6i | 0.634577 | − | 0.366373i | −0.147945 | − | 0.988996i | \(-0.547266\pi\) |
0.782523 | + | 0.622622i | \(0.213933\pi\) | |||||||
\(258\) | 1.09356e7i | 0.636769i | ||||||||
\(259\) | 3.17181e6 | − | 315623.i | 0.182561 | − | 0.0181664i | ||||
\(260\) | 4.23824e6 | 0.241138 | ||||||||
\(261\) | −8.08815e6 | − | 1.40091e7i | −0.454912 | − | 0.787932i | ||||
\(262\) | 1.28110e6 | + | 739642.i | 0.0712325 | + | 0.0411261i | ||||
\(263\) | −1.42368e7 | + | 2.46588e7i | −0.782609 | + | 1.35552i | 0.147808 | + | 0.989016i | \(0.452778\pi\) |
−0.930417 | + | 0.366502i | \(0.880555\pi\) | |||||||
\(264\) | −7.39418e6 | + | 4.26903e6i | −0.401863 | + | 0.232016i | ||||
\(265\) | − | 1.15994e7i | − | 0.623299i | ||||||
\(266\) | 40047.6 | − | 28758.8i | 0.00212780 | − | 0.00152801i | ||||
\(267\) | −5.61375e6 | −0.294930 | ||||||||
\(268\) | 6.97518e6 | + | 1.20814e7i | 0.362369 | + | 0.627642i | ||||
\(269\) | −1.26875e7 | − | 7.32511e6i | −0.651805 | − | 0.376320i | 0.137342 | − | 0.990524i | \(-0.456144\pi\) |
−0.789148 | + | 0.614204i | \(0.789477\pi\) | |||||||
\(270\) | −7.68383e6 | + | 1.33088e7i | −0.390379 | + | 0.676157i | ||||
\(271\) | 1.28578e7 | − | 7.42345e6i | 0.646039 | − | 0.372991i | −0.140898 | − | 0.990024i | \(-0.544999\pi\) |
0.786937 | + | 0.617033i | \(0.211666\pi\) | |||||||
\(272\) | 8.67268e6i | 0.430969i | ||||||||
\(273\) | −5.99647e6 | − | 8.35028e6i | −0.294719 | − | 0.410405i | ||||
\(274\) | 3.95382e6 | 0.192205 | ||||||||
\(275\) | 1.08500e7 | + | 1.87927e7i | 0.521711 | + | 0.903630i | ||||
\(276\) | 998667. | + | 576581.i | 0.0475000 | + | 0.0274241i | ||||
\(277\) | −1.13152e7 | + | 1.95985e7i | −0.532381 | + | 0.922111i | 0.466904 | + | 0.884308i | \(0.345369\pi\) |
−0.999285 | + | 0.0378029i | \(0.987964\pi\) | |||||||
\(278\) | 7.85296e6 | − | 4.53391e6i | 0.365510 | − | 0.211027i | ||||
\(279\) | − | 1.49066e6i | − | 0.0686382i | ||||||
\(280\) | −1.15254e6 | − | 1.15822e7i | −0.0525025 | − | 0.527617i | ||||
\(281\) | −2.66513e7 | −1.20116 | −0.600579 | − | 0.799565i | \(-0.705063\pi\) | ||||
−0.600579 | + | 0.799565i | \(0.705063\pi\) | |||||||
\(282\) | −1.66072e7 | − | 2.87645e7i | −0.740541 | − | 1.28265i | ||||
\(283\) | 2.25458e7 | + | 1.30169e7i | 0.994735 | + | 0.574310i | 0.906686 | − | 0.421806i | \(-0.138604\pi\) |
0.0880485 | + | 0.996116i | \(0.471937\pi\) | |||||||
\(284\) | 8.98494e6 | − | 1.55624e7i | 0.392247 | − | 0.679393i | ||||
\(285\) | 175003. | − | 101038.i | 0.00755981 | − | 0.00436466i | ||||
\(286\) | − | 4.44368e6i | − | 0.189953i | ||||||
\(287\) | 3.43293e7 | + | 1.55127e7i | 1.45217 | + | 0.656209i | ||||
\(288\) | 6.20164e6 | 0.259614 | ||||||||
\(289\) | 2.37967e7 | + | 4.12171e7i | 0.985877 | + | 1.70759i | ||||
\(290\) | 1.38761e7 | + | 8.01136e6i | 0.568948 | + | 0.328482i | ||||
\(291\) | 3.38272e7 | − | 5.85903e7i | 1.37273 | − | 2.37765i | ||||
\(292\) | 6.14943e6 | − | 3.55038e6i | 0.246994 | − | 0.142602i | ||||
\(293\) | − | 2.40799e6i | − | 0.0957310i | −0.998854 | − | 0.0478655i | \(-0.984758\pi\) | ||
0.998854 | − | 0.0478655i | \(-0.0152419\pi\) | |||||||
\(294\) | −2.11889e7 | + | 1.86578e7i | −0.833809 | + | 0.734209i | ||||
\(295\) | −1.47227e7 | −0.573486 | ||||||||
\(296\) | −841100. | − | 1.45683e6i | −0.0324319 | − | 0.0561737i | ||||
\(297\) | 1.39539e7 | + | 8.05629e6i | 0.532631 | + | 0.307515i | ||||
\(298\) | −1.18003e7 | + | 2.04387e7i | −0.445906 | + | 0.772332i | ||||
\(299\) | −519762. | + | 300085.i | −0.0194442 | + | 0.0112261i | ||||
\(300\) | − | 2.64943e7i | − | 0.981269i | ||||||
\(301\) | −6.43644e6 | + | 1.42437e7i | −0.236019 | + | 0.522304i | ||||
\(302\) | −3.50989e7 | −1.27430 | ||||||||
\(303\) | 2.76474e7 | + | 4.78867e7i | 0.993862 | + | 1.72142i | ||||
\(304\) | −22534.3 | − | 13010.2i | −0.000802089 | − | 0.000463086i | ||||
\(305\) | 1.63749e7 | − | 2.83622e7i | 0.577137 | − | 0.999631i | ||||
\(306\) | 4.44212e7 | − | 2.56466e7i | 1.55034 | − | 0.895087i | ||||
\(307\) | − | 1.92678e7i | − | 0.665911i | −0.942942 | − | 0.332956i | \(-0.891954\pi\) | ||
0.942942 | − | 0.332956i | \(-0.108046\pi\) | |||||||
\(308\) | −1.21437e7 | + | 1.20840e6i | −0.415621 | + | 0.0413580i | ||||
\(309\) | 281556. | 0.00954311 | ||||||||
\(310\) | 738253. | + | 1.27869e6i | 0.0247811 | + | 0.0429221i | ||||
\(311\) | −3.26379e7 | − | 1.88435e7i | −1.08503 | − | 0.626441i | −0.152780 | − | 0.988260i | \(-0.548823\pi\) |
−0.932248 | + | 0.361819i | \(0.882156\pi\) | |||||||
\(312\) | −2.71273e6 | + | 4.69859e6i | −0.0893189 | + | 0.154705i | ||||
\(313\) | −3.47639e7 | + | 2.00710e7i | −1.13369 | + | 0.654539i | −0.944861 | − | 0.327470i | \(-0.893804\pi\) |
−0.188833 | + | 0.982009i | \(0.560470\pi\) | |||||||
\(314\) | − | 1.11349e7i | − | 0.359663i | ||||||
\(315\) | −5.59156e7 | + | 4.01539e7i | −1.78896 | + | 1.28468i | ||||
\(316\) | 2.13273e7 | 0.675888 | ||||||||
\(317\) | −2.67147e7 | − | 4.62713e7i | −0.838636 | − | 1.45256i | −0.891036 | − | 0.453933i | \(-0.850020\pi\) |
0.0524001 | − | 0.998626i | \(-0.483313\pi\) | |||||||
\(318\) | 1.28593e7 | + | 7.42430e6i | 0.399885 | + | 0.230873i | ||||
\(319\) | 8.39969e6 | − | 1.45487e7i | 0.258757 | − | 0.448180i | ||||
\(320\) | −5.31978e6 | + | 3.07138e6i | −0.162347 | + | 0.0937310i | ||||
\(321\) | 5.56564e7i | 1.68267i | ||||||||
\(322\) | 961412. | + | 1.33880e6i | 0.0287966 | + | 0.0401003i | ||||
\(323\) | −215212. | −0.00638643 | ||||||||
\(324\) | 2.65136e6 | + | 4.59229e6i | 0.0779531 | + | 0.135019i | ||||
\(325\) | 1.19417e7 | + | 6.89454e6i | 0.347869 | + | 0.200842i | ||||
\(326\) | 3.44702e6 | − | 5.97041e6i | 0.0994925 | − | 0.172326i | ||||
\(327\) | 5.66729e7 | − | 3.27201e7i | 1.62081 | − | 0.935776i | ||||
\(328\) | − | 1.98813e7i | − | 0.563407i | ||||||
\(329\) | −4.70087e6 | − | 4.72408e7i | −0.132005 | − | 1.32657i | ||||
\(330\) | −5.00176e7 | −1.39181 | ||||||||
\(331\) | −1.04651e7 | − | 1.81261e7i | −0.288575 | − | 0.499827i | 0.684895 | − | 0.728642i | \(-0.259848\pi\) |
−0.973470 | + | 0.228815i | \(0.926515\pi\) | |||||||
\(332\) | −1.81141e7 | − | 1.04582e7i | −0.494996 | − | 0.285786i | ||||
\(333\) | −4.97455e6 | + | 8.61618e6i | −0.134717 | + | 0.233336i | ||||
\(334\) | 3.12667e6 | − | 1.80518e6i | 0.0839156 | − | 0.0484487i | ||||
\(335\) | 8.17238e7i | 2.17377i | ||||||||
\(336\) | 1.35780e7 | + | 6.13561e6i | 0.357945 | + | 0.161749i | ||||
\(337\) | 5.12346e6 | 0.133867 | 0.0669335 | − | 0.997757i | \(-0.478678\pi\) | ||||
0.0669335 | + | 0.997757i | \(0.478678\pi\) | |||||||
\(338\) | 1.22404e7 | + | 2.12010e7i | 0.316990 | + | 0.549044i | ||||
\(339\) | −3.75511e7 | − | 2.16802e7i | −0.963882 | − | 0.556497i | ||||
\(340\) | −2.54031e7 | + | 4.39994e7i | −0.646323 | + | 1.11946i | ||||
\(341\) | 1.34067e6 | − | 774038.i | 0.0338111 | − | 0.0195209i | ||||
\(342\) | 153893.i | 0.00384716i | ||||||||
\(343\) | −3.85804e7 | + | 1.18307e7i | −0.956059 | + | 0.293176i | ||||
\(344\) | 8.24901e6 | 0.202641 | ||||||||
\(345\) | 3.37772e6 | + | 5.85038e6i | 0.0822557 | + | 0.142471i | ||||
\(346\) | 3.04686e6 | + | 1.75911e6i | 0.0735571 | + | 0.0424682i | ||||
\(347\) | −667759. | + | 1.15659e6i | −0.0159820 | + | 0.0276817i | −0.873906 | − | 0.486095i | \(-0.838421\pi\) |
0.857924 | + | 0.513777i | \(0.171754\pi\) | |||||||
\(348\) | −1.77631e7 | + | 1.02555e7i | −0.421483 | + | 0.243343i | ||||
\(349\) | − | 5.85989e7i | − | 1.37852i | −0.724514 | − | 0.689260i | \(-0.757936\pi\) | ||
0.724514 | − | 0.689260i | \(-0.242064\pi\) | |||||||
\(350\) | 1.55940e7 | − | 3.45091e7i | 0.363708 | − | 0.804876i | ||||
\(351\) | 1.02386e7 | 0.236767 | ||||||||
\(352\) | 3.22026e6 | + | 5.57765e6i | 0.0738350 | + | 0.127886i | ||||
\(353\) | −5.03777e7 | − | 2.90856e7i | −1.14529 | − | 0.661231i | −0.197552 | − | 0.980292i | \(-0.563299\pi\) |
−0.947734 | + | 0.319061i | \(0.896633\pi\) | |||||||
\(354\) | 9.42345e6 | − | 1.63219e7i | 0.212422 | − | 0.367926i | ||||
\(355\) | 9.11673e7 | − | 5.26354e7i | 2.03776 | − | 1.17650i | ||||
\(356\) | 4.23462e6i | 0.0938565i | ||||||||
\(357\) | 1.22630e8 | − | 1.22028e7i | 2.69521 | − | 0.268197i | ||||
\(358\) | 3.12328e7 | 0.680709 | ||||||||
\(359\) | 2.79159e7 | + | 4.83518e7i | 0.603350 | + | 1.04503i | 0.992310 | + | 0.123778i | \(0.0395010\pi\) |
−0.388960 | + | 0.921254i | \(0.627166\pi\) | |||||||
\(360\) | 3.14630e7 | + | 1.81652e7i | 0.674361 | + | 0.389343i | ||||
\(361\) | −2.35226e7 | + | 4.07424e7i | −0.499993 | + | 0.866014i | ||||
\(362\) | −1.86137e7 | + | 1.07466e7i | −0.392380 | + | 0.226540i | ||||
\(363\) | − | 2.27107e7i | − | 0.474801i | ||||||
\(364\) | −6.29886e6 | + | 4.52331e6i | −0.130604 | + | 0.0937890i | ||||
\(365\) | 4.15975e7 | 0.855439 | ||||||||
\(366\) | 2.09619e7 | + | 3.63070e7i | 0.427550 | + | 0.740538i | ||||
\(367\) | 7.51777e6 | + | 4.34039e6i | 0.152087 | + | 0.0878072i | 0.574112 | − | 0.818777i | \(-0.305347\pi\) |
−0.422025 | + | 0.906584i | \(0.638681\pi\) | |||||||
\(368\) | 434932. | − | 753324.i | 0.00872725 | − | 0.0151160i | ||||
\(369\) | −1.01831e8 | + | 5.87923e7i | −2.02676 | + | 1.17015i | ||||
\(370\) | − | 9.85465e6i | − | 0.194552i | ||||||
\(371\) | 1.23795e7 | + | 1.72389e7i | 0.242428 | + | 0.337589i | ||||
\(372\) | −1.89011e6 | −0.0367162 | ||||||||
\(373\) | −3.44474e7 | − | 5.96646e7i | −0.663789 | − | 1.14972i | −0.979612 | − | 0.200898i | \(-0.935614\pi\) |
0.315823 | − | 0.948818i | \(-0.397719\pi\) | |||||||
\(374\) | 4.61322e7 | + | 2.66344e7i | 0.881839 | + | 0.509130i | ||||
\(375\) | 1.54754e7 | − | 2.68043e7i | 0.293460 | − | 0.508288i | ||||
\(376\) | −2.16979e7 | + | 1.25273e7i | −0.408183 | + | 0.235664i | ||||
\(377\) | − | 1.06751e7i | − | 0.199226i | ||||||
\(378\) | −2.78427e6 | − | 2.79801e7i | −0.0515508 | − | 0.518053i | ||||
\(379\) | 2.82976e7 | 0.519795 | 0.259897 | − | 0.965636i | \(-0.416311\pi\) | ||||
0.259897 | + | 0.965636i | \(0.416311\pi\) | |||||||
\(380\) | −76215.9 | − | 132010.i | −0.00138898 | − | 0.00240578i | ||||
\(381\) | −2.76430e7 | − | 1.59597e7i | −0.499817 | − | 0.288569i | ||||
\(382\) | −1.47396e7 | + | 2.55298e7i | −0.264421 | + | 0.457991i | ||||
\(383\) | −9.34416e7 | + | 5.39485e7i | −1.66320 | + | 0.960248i | −0.692025 | + | 0.721874i | \(0.743281\pi\) |
−0.971173 | + | 0.238374i | \(0.923386\pi\) | |||||||
\(384\) | − | 7.86347e6i | − | 0.138874i | ||||||
\(385\) | −6.51484e7 | − | 2.94393e7i | −1.14162 | − | 0.515876i | ||||
\(386\) | 2.05076e7 | 0.356578 | ||||||||
\(387\) | −2.43937e7 | − | 4.22512e7i | −0.420868 | − | 0.728964i | ||||
\(388\) | −4.41964e7 | − | 2.55168e7i | −0.756644 | − | 0.436849i | ||||
\(389\) | −3.23559e7 | + | 5.60420e7i | −0.549673 | + | 0.952061i | 0.448624 | + | 0.893720i | \(0.351914\pi\) |
−0.998297 | + | 0.0583403i | \(0.981419\pi\) | |||||||
\(390\) | −2.75252e7 | + | 1.58917e7i | −0.464020 | + | 0.267902i | ||||
\(391\) | − | 7.19456e6i | − | 0.120358i | ||||||
\(392\) | 1.40742e7 | + | 1.59834e7i | 0.233649 | + | 0.265345i | ||||
\(393\) | −1.10934e7 | −0.182763 | ||||||||
\(394\) | −1.80103e7 | − | 3.11948e7i | −0.294464 | − | 0.510027i | ||||
\(395\) | 1.08201e8 | + | 6.24697e7i | 1.75565 | + | 1.01363i | ||||
\(396\) | 1.90457e7 | − | 3.29881e7i | 0.306698 | − | 0.531217i | ||||
\(397\) | 6.55387e7 | − | 3.78388e7i | 1.04743 | − | 0.604736i | 0.125504 | − | 0.992093i | \(-0.459945\pi\) |
0.921930 | + | 0.387357i | \(0.126612\pi\) | |||||||
\(398\) | 2.37786e7i | 0.377170i | ||||||||
\(399\) | −152255. | + | 336936.i | −0.00239691 | + | 0.00530431i | ||||
\(400\) | −1.99854e7 | −0.312272 | ||||||||
\(401\) | −1.55716e6 | − | 2.69708e6i | −0.0241490 | − | 0.0418274i | 0.853698 | − | 0.520768i | \(-0.174354\pi\) |
−0.877847 | + | 0.478941i | \(0.841021\pi\) | |||||||
\(402\) | −9.06004e7 | − | 5.23082e7i | −1.39461 | − | 0.805177i | ||||
\(403\) | 491858. | − | 851923.i | 0.00751492 | − | 0.0130162i | ||||
\(404\) | 3.61223e7 | − | 2.08552e7i | 0.547812 | − | 0.316279i | ||||
\(405\) | 3.10643e7i | 0.467624i | ||||||||
\(406\) | −2.91728e7 | + | 2.90295e6i | −0.435913 | + | 0.0433772i | ||||
\(407\) | −1.03323e7 | −0.153255 | ||||||||
\(408\) | −3.25190e7 | − | 5.63246e7i | −0.478803 | − | 0.829311i | ||||
\(409\) | 1.05021e8 | + | 6.06337e7i | 1.53499 | + | 0.886225i | 0.999121 | + | 0.0419210i | \(0.0133478\pi\) |
0.535865 | + | 0.844304i | \(0.319986\pi\) | |||||||
\(410\) | 5.82340e7 | − | 1.00864e8i | 0.844939 | − | 1.46348i | ||||
\(411\) | −2.56780e7 | + | 1.48252e7i | −0.369859 | + | 0.213538i | ||||
\(412\) | − | 212386.i | − | 0.00303693i | ||||||
\(413\) | 2.18809e7 | − | 1.57130e7i | 0.310609 | − | 0.223053i | ||||
\(414\) | −5.14467e6 | −0.0725030 | ||||||||
\(415\) | −6.12659e7 | − | 1.06116e8i | −0.857184 | − | 1.48469i | ||||
\(416\) | 3.54428e6 | + | 2.04629e6i | 0.0492321 | + | 0.0284242i | ||||
\(417\) | −3.40006e7 | + | 5.88908e7i | −0.468899 | + | 0.812156i | ||||
\(418\) | −138409. | + | 79910.3i | −0.00189511 | + | 0.00109414i | ||||
\(419\) | − | 1.07947e7i | − | 0.146746i | −0.997305 | − | 0.0733732i | \(-0.976624\pi\) | ||
0.997305 | − | 0.0733732i | \(-0.0233764\pi\) | |||||||
\(420\) | 5.09138e7 | + | 7.08992e7i | 0.687207 | + | 0.956959i | ||||
\(421\) | −5.16567e6 | −0.0692278 | −0.0346139 | − | 0.999401i | \(-0.511020\pi\) | ||||
−0.0346139 | + | 0.999401i | \(0.511020\pi\) | |||||||
\(422\) | −3.77732e7 | − | 6.54250e7i | −0.502627 | − | 0.870576i | ||||
\(423\) | 1.28329e8 | + | 7.40907e7i | 1.69552 | + | 0.978909i | ||||
\(424\) | 5.60036e6 | − | 9.70011e6i | 0.0734714 | − | 0.127256i | ||||
\(425\) | −1.43152e8 | + | 8.26487e7i | −1.86479 | + | 1.07664i | ||||
\(426\) | 1.34759e8i | 1.74313i | ||||||||
\(427\) | 5.93351e6 | + | 5.96280e7i | 0.0762128 | + | 0.765890i | ||||
\(428\) | 4.19832e7 | 0.535482 | ||||||||
\(429\) | 1.66620e7 | + | 2.88595e7i | 0.211036 | + | 0.365524i | ||||
\(430\) | 4.18500e7 | + | 2.41621e7i | 0.526369 | + | 0.303899i | ||||
\(431\) | 5.74292e7 | − | 9.94703e7i | 0.717301 | − | 1.24240i | −0.244765 | − | 0.969582i | \(-0.578711\pi\) |
0.962066 | − | 0.272818i | \(-0.0879558\pi\) | |||||||
\(432\) | −1.28514e7 | + | 7.41976e6i | −0.159404 | + | 0.0920319i | ||||
\(433\) | − | 2.10551e7i | − | 0.259355i | −0.991556 | − | 0.129677i | \(-0.958606\pi\) | ||
0.991556 | − | 0.129677i | \(-0.0413942\pi\) | |||||||
\(434\) | −2.46188e6 | − | 1.11248e6i | −0.0301161 | − | 0.0136089i | ||||
\(435\) | −1.20157e8 | −1.45976 | ||||||||
\(436\) | −2.46817e7 | − | 4.27500e7i | −0.297794 | − | 0.515795i | ||||
\(437\) | 18693.7 | + | 10792.8i | 0.000224001 | + | 0.000129327i | ||||
\(438\) | −2.66249e7 | + | 4.61158e7i | −0.316859 | + | 0.548816i | ||||
\(439\) | 5.69615e6 | − | 3.28867e6i | 0.0673268 | − | 0.0388711i | −0.465959 | − | 0.884806i | \(-0.654290\pi\) |
0.533286 | + | 0.845935i | \(0.320957\pi\) | |||||||
\(440\) | 3.77297e7i | 0.442920i | ||||||||
\(441\) | 4.02469e7 | − | 1.19353e8i | 0.469263 | − | 1.39161i | ||||
\(442\) | 3.38494e7 | 0.391998 | ||||||||
\(443\) | 3.89607e7 | + | 6.74819e7i | 0.448142 | + | 0.776205i | 0.998265 | − | 0.0588789i | \(-0.0187526\pi\) |
−0.550123 | + | 0.835084i | \(0.685419\pi\) | |||||||
\(444\) | 1.09250e7 | + | 6.30757e6i | 0.124817 | + | 0.0720631i | ||||
\(445\) | −1.24036e7 | + | 2.14836e7i | −0.140756 | + | 0.243797i | ||||
\(446\) | 3.42241e7 | − | 1.97593e7i | 0.385770 | − | 0.222724i | ||||
\(447\) | − | 1.76985e8i | − | 1.98159i | ||||||
\(448\) | 4.62827e6 | − | 1.02423e7i | 0.0514736 | − | 0.113910i | ||||
\(449\) | 1.49956e8 | 1.65663 | 0.828316 | − | 0.560261i | \(-0.189299\pi\) | ||||
0.828316 | + | 0.560261i | \(0.189299\pi\) | |||||||
\(450\) | 5.91002e7 | + | 1.02365e8i | 0.648562 | + | 1.12334i | ||||
\(451\) | −1.05754e8 | − | 6.10568e7i | −1.15283 | − | 0.665587i | ||||
\(452\) | −1.63540e7 | + | 2.83259e7i | −0.177096 | + | 0.306739i | ||||
\(453\) | 2.27949e8 | − | 1.31606e8i | 2.45213 | − | 1.41574i | ||||
\(454\) | − | 2.71825e6i | − | 0.0290483i | ||||||
\(455\) | −4.52054e7 | + | 4.49834e6i | −0.479906 | + | 0.0477549i | ||||
\(456\) | 195131. | 0.00205794 | ||||||||
\(457\) | 6.34376e7 | + | 1.09877e8i | 0.664658 | + | 1.15122i | 0.979378 | + | 0.202037i | \(0.0647562\pi\) |
−0.314719 | + | 0.949185i | \(0.601910\pi\) | |||||||
\(458\) | −5.61231e7 | − | 3.24027e7i | −0.584178 | − | 0.337276i | ||||
\(459\) | −6.13682e7 | + | 1.06293e8i | −0.634607 | + | 1.09917i | ||||
\(460\) | 4.41311e6 | − | 2.54791e6i | 0.0453389 | − | 0.0261764i | ||||
\(461\) | 8.34728e7i | 0.852005i | 0.904722 | + | 0.426002i | \(0.140078\pi\) | ||||
−0.904722 | + | 0.426002i | \(0.859922\pi\) | |||||||
\(462\) | 7.43359e7 | − | 5.33818e7i | 0.753828 | − | 0.541336i | ||||
\(463\) | −1.31072e8 | −1.32058 | −0.660292 | − | 0.751009i | \(-0.729567\pi\) | ||||
−0.660292 | + | 0.751009i | \(0.729567\pi\) | |||||||
\(464\) | 7.73603e6 | + | 1.33992e7i | 0.0774398 | + | 0.134130i | ||||
\(465\) | −9.58915e6 | − | 5.53630e6i | −0.0953720 | − | 0.0550631i | ||||
\(466\) | 4.05038e7 | − | 7.01547e7i | 0.400257 | − | 0.693265i | ||||
\(467\) | −7.53418e7 | + | 4.34986e7i | −0.739751 | + | 0.427095i | −0.821979 | − | 0.569518i | \(-0.807130\pi\) |
0.0822280 | + | 0.996614i | \(0.473796\pi\) | |||||||
\(468\) | − | 2.42049e7i | − | 0.236138i | ||||||
\(469\) | −8.72206e7 | − | 1.21457e8i | −0.845474 | − | 1.17735i | ||||
\(470\) | −1.46774e8 | −1.41370 | ||||||||
\(471\) | 4.17512e7 | + | 7.23153e7i | 0.399583 | + | 0.692098i | ||||
\(472\) | −1.23121e7 | − | 7.10838e6i | −0.117086 | − | 0.0675997i | ||||
\(473\) | 2.53333e7 | − | 4.38786e7i | 0.239392 | − | 0.414639i | ||||
\(474\) | −1.38510e8 | + | 7.99687e7i | −1.30061 | + | 0.750905i | ||||
\(475\) | − | 495936.i | − | 0.00462748i | ||||||
\(476\) | −9.20491e6 | − | 9.25034e7i | −0.0853490 | − | 0.857703i | ||||
\(477\) | −6.62449e7 | −0.610376 | ||||||||
\(478\) | 2.58982e7 | + | 4.48570e7i | 0.237130 | + | 0.410721i | ||||
\(479\) | −1.22097e8 | − | 7.04928e7i | −1.11096 | − | 0.641413i | −0.171883 | − | 0.985117i | \(-0.554985\pi\) |
−0.939078 | + | 0.343704i | \(0.888318\pi\) | |||||||
\(480\) | 2.30328e7 | − | 3.98940e7i | 0.208268 | − | 0.360732i | ||||
\(481\) | −5.68599e6 | + | 3.28281e6i | −0.0510941 | + | 0.0294992i | ||||
\(482\) | 1.40936e8i | 1.25858i | ||||||||
\(483\) | −1.12638e7 | − | 5.08990e6i | −0.0999642 | − | 0.0451718i | ||||
\(484\) | −1.71314e7 | −0.151097 | ||||||||
\(485\) | −1.49482e8 | − | 2.58911e8i | −1.31028 | − | 2.26947i | ||||
\(486\) | −8.61935e7 | − | 4.97638e7i | −0.750872 | − | 0.433516i | ||||
\(487\) | −7.15151e7 | + | 1.23868e8i | −0.619171 | + | 1.07244i | 0.370466 | + | 0.928846i | \(0.379198\pi\) |
−0.989637 | + | 0.143590i | \(0.954135\pi\) | |||||||
\(488\) | 2.73874e7 | − | 1.58121e7i | 0.235663 | − | 0.136060i | ||||
\(489\) | 5.16996e7i | 0.442141i | ||||||||
\(490\) | 2.45860e7 | + | 1.22314e8i | 0.208978 | + | 1.03965i | ||||
\(491\) | 9.10418e7 | 0.769124 | 0.384562 | − | 0.923099i | \(-0.374353\pi\) | ||||
0.384562 | + | 0.923099i | \(0.374353\pi\) | |||||||
\(492\) | 7.45466e7 | + | 1.29119e8i | 0.625940 | + | 1.08416i | ||||
\(493\) | 1.10824e8 | + | 6.39840e7i | 0.924892 | + | 0.533987i | ||||
\(494\) | −50778.6 | + | 87951.1i | −0.000421211 | + | 0.000729559i | ||||
\(495\) | 1.93250e8 | − | 1.11573e8i | 1.59333 | − | 0.919908i | ||||
\(496\) | 1.42576e6i | 0.0116843i | ||||||||
\(497\) | −7.93166e7 | + | 1.75526e8i | −0.646093 | + | 1.42979i | ||||
\(498\) | 1.56855e8 | 1.27002 | ||||||||
\(499\) | 2.83073e7 | + | 4.90296e7i | 0.227822 | + | 0.394600i | 0.957162 | − | 0.289551i | \(-0.0935061\pi\) |
−0.729340 | + | 0.684151i | \(0.760173\pi\) | |||||||
\(500\) | −2.02192e7 | − | 1.16736e7i | −0.161754 | − | 0.0933886i | ||||
\(501\) | −1.35374e7 | + | 2.34475e7i | −0.107652 | + | 0.186459i | ||||
\(502\) | 1.00930e8 | − | 5.82720e7i | 0.797828 | − | 0.460626i | ||||
\(503\) | − | 5.77667e7i | − | 0.453914i | −0.973905 | − | 0.226957i | \(-0.927122\pi\) | ||
0.973905 | − | 0.226957i | \(-0.0728777\pi\) | |||||||
\(504\) | −6.61471e7 | + | 6.58222e6i | −0.516677 | + | 0.0514139i | ||||
\(505\) | 2.44348e8 | 1.89729 | ||||||||
\(506\) | −2.67142e6 | − | 4.62703e6i | −0.0206201 | − | 0.0357150i | ||||
\(507\) | −1.58991e8 | − | 9.17932e7i | −1.21996 | − | 0.704347i | ||||
\(508\) | −1.20389e7 | + | 2.08519e7i | −0.0918321 | + | 0.159058i | ||||
\(509\) | 1.43165e8 | − | 8.26565e7i | 1.08564 | − | 0.626793i | 0.153225 | − | 0.988191i | \(-0.451034\pi\) |
0.932411 | + | 0.361399i | \(0.117701\pi\) | |||||||
\(510\) | − | 3.81005e8i | − | 2.87224i | ||||||
\(511\) | −6.18220e7 | + | 4.43954e7i | −0.463320 | + | 0.332717i | ||||
\(512\) | −5.93164e6 | −0.0441942 | ||||||||
\(513\) | −184121. | − | 318906.i | −0.00136380 | − | 0.00236217i | ||||
\(514\) | 6.09339e7 | + | 3.51802e7i | 0.448714 | + | 0.259065i | ||||
\(515\) | 622099. | − | 1.07751e6i | 0.00455447 | − | 0.00788857i | ||||
\(516\) | −5.35731e7 | + | 3.09305e7i | −0.389940 | + | 0.225132i | ||||
\(517\) | 1.53889e8i | 1.11362i | ||||||||
\(518\) | 1.05175e7 | + | 1.46459e7i | 0.0756697 | + | 0.105373i | ||||
\(519\) | −2.63838e7 | −0.188727 | ||||||||
\(520\) | 1.19876e7 | + | 2.07631e7i | 0.0852552 | + | 0.147666i | ||||
\(521\) | 1.07568e6 | + | 621047.i | 0.00760627 | + | 0.00439148i | 0.503798 | − | 0.863821i | \(-0.331935\pi\) |
−0.496192 | + | 0.868213i | \(0.665269\pi\) | |||||||
\(522\) | 4.57535e7 | − | 7.92474e7i | 0.321672 | − | 0.557152i | ||||
\(523\) | 3.51923e7 | − | 2.03183e7i | 0.246004 | − | 0.142030i | −0.371929 | − | 0.928261i | \(-0.621304\pi\) |
0.617933 | + | 0.786231i | \(0.287970\pi\) | |||||||
\(524\) | 8.36810e6i | 0.0581611i | ||||||||
\(525\) | 2.81202e7 | + | 2.82590e8i | 0.194330 | + | 1.95289i | ||||
\(526\) | −1.61071e8 | −1.10678 | ||||||||
\(527\) | 5.89617e6 | + | 1.02125e7i | 0.0402845 | + | 0.0697749i | ||||
\(528\) | −4.18278e7 | − | 2.41493e7i | −0.284160 | − | 0.164060i | ||||
\(529\) | 7.36571e7 | − | 1.27578e8i | 0.497563 | − | 0.861804i | ||||
\(530\) | 5.68251e7 | − | 3.28080e7i | 0.381691 | − | 0.220370i | ||||
\(531\) | 8.40828e7i | 0.561595i | ||||||||
\(532\) | 254161. | + | 114850.i | 0.00168800 | + | 0.000762775i | ||||
\(533\) | −7.75964e7 | −0.512460 | ||||||||
\(534\) | −1.58781e7 | − | 2.75017e7i | −0.104274 | − | 0.180607i | ||||
\(535\) | 2.12995e8 | + | 1.22973e8i | 1.39094 | + | 0.803060i | ||||
\(536\) | −3.94576e7 | + | 6.83425e7i | −0.256234 | + | 0.443810i | ||||
\(537\) | −2.02841e8 | + | 1.17110e8i | −1.30988 | + | 0.756262i | ||||
\(538\) | − | 8.28742e7i | − | 0.532197i | ||||||
\(539\) | 1.28243e8 | − | 2.57778e7i | 0.818967 | − | 0.164619i | ||||
\(540\) | −8.69326e7 | −0.552080 | ||||||||
\(541\) | 9.78002e7 | + | 1.69395e8i | 0.617658 | + | 1.06981i | 0.989912 | + | 0.141684i | \(0.0452517\pi\) |
−0.372254 | + | 0.928131i | \(0.621415\pi\) | |||||||
\(542\) | 7.27347e7 | + | 4.19934e7i | 0.456819 | + | 0.263744i | ||||
\(543\) | 8.05908e7 | − | 1.39587e8i | 0.503369 | − | 0.871860i | ||||
\(544\) | −4.24873e7 | + | 2.45300e7i | −0.263914 | + | 0.152371i | ||||
\(545\) | − | 2.89180e8i | − | 1.78640i | ||||||
\(546\) | 2.39473e7 | − | 5.29947e7i | 0.147122 | − | 0.325578i | ||||
\(547\) | 9.54532e7 | 0.583215 | 0.291607 | − | 0.956538i | \(-0.405810\pi\) | ||||
0.291607 | + | 0.956538i | \(0.405810\pi\) | |||||||
\(548\) | 1.11831e7 | + | 1.93697e7i | 0.0679548 | + | 0.117701i | ||||
\(549\) | −1.61979e8 | − | 9.35184e7i | −0.978905 | − | 0.565171i | ||||
\(550\) | −6.13766e7 | + | 1.06307e8i | −0.368905 | + | 0.638963i | ||||
\(551\) | −332500. | + | 191969.i | −0.00198763 | + | 0.00114756i | ||||
\(552\) | 6.52327e6i | 0.0387836i | ||||||||
\(553\) | −2.27479e8 | + | 2.26361e7i | −1.34513 | + | 0.133853i | ||||
\(554\) | −1.28017e8 | −0.752900 | ||||||||
\(555\) | 3.69509e7 | + | 6.40009e7i | 0.216146 | + | 0.374375i | ||||
\(556\) | 4.44231e7 | + | 2.56477e7i | 0.258455 | + | 0.149219i | ||||
\(557\) | 6.01127e7 | − | 1.04118e8i | 0.347857 | − | 0.602506i | −0.638012 | − | 0.770027i | \(-0.720243\pi\) |
0.985869 | + | 0.167521i | \(0.0535761\pi\) | |||||||
\(558\) | 7.30271e6 | − | 4.21622e6i | 0.0420321 | − | 0.0242673i | ||||
\(559\) | − | 3.21959e7i | − | 0.184317i | ||||||
\(560\) | 5.34813e7 | − | 3.84058e7i | 0.304535 | − | 0.218692i | ||||
\(561\) | −3.99473e8 | −2.26256 | ||||||||
\(562\) | −7.53814e7 | − | 1.30564e8i | −0.424674 | − | 0.735556i | ||||
\(563\) | −1.48035e7 | − | 8.54678e6i | −0.0829542 | − | 0.0478936i | 0.457949 | − | 0.888978i | \(-0.348584\pi\) |
−0.540903 | + | 0.841085i | \(0.681918\pi\) | |||||||
\(564\) | 9.39445e7 | − | 1.62717e8i | 0.523642 | − | 0.906974i | ||||
\(565\) | −1.65938e8 | + | 9.58046e7i | −0.920029 | + | 0.531179i | ||||
\(566\) | 1.47269e8i | 0.812197i | ||||||||
\(567\) | −3.31537e7 | − | 4.61676e7i | −0.181879 | − | 0.253273i | ||||
\(568\) | 1.01653e8 | 0.554722 | ||||||||
\(569\) | 4.12844e7 | + | 7.15067e7i | 0.224104 | + | 0.388159i | 0.956050 | − | 0.293203i | \(-0.0947212\pi\) |
−0.731946 | + | 0.681362i | \(0.761388\pi\) | |||||||
\(570\) | 989967. | + | 571557.i | 0.00534559 | + | 0.00308628i | ||||
\(571\) | −1.49235e7 | + | 2.58483e7i | −0.0801609 | + | 0.138843i | −0.903319 | − | 0.428970i | \(-0.858877\pi\) |
0.823158 | + | 0.567812i | \(0.192210\pi\) | |||||||
\(572\) | 2.17695e7 | − | 1.25686e7i | 0.116322 | − | 0.0671584i | ||||
\(573\) | − | 2.21070e8i | − | 1.17508i | ||||||
\(574\) | 2.11013e7 | + | 2.12055e8i | 0.111577 | + | 1.12128i | ||||
\(575\) | 1.65792e7 | 0.0872088 | ||||||||
\(576\) | 1.75409e7 | + | 3.03817e7i | 0.0917876 | + | 0.158981i | ||||
\(577\) | −2.57347e8 | − | 1.48579e8i | −1.33965 | − | 0.773448i | −0.352896 | − | 0.935663i | \(-0.614803\pi\) |
−0.986756 | + | 0.162214i | \(0.948136\pi\) | |||||||
\(578\) | −1.34614e8 | + | 2.33159e8i | −0.697121 | + | 1.20745i | ||||
\(579\) | −1.33187e8 | + | 7.68954e7i | −0.686159 | + | 0.396154i | ||||
\(580\) | 9.06382e7i | 0.464544i | ||||||||
\(581\) | 2.04306e8 | + | 9.23218e7i | 1.04172 | + | 0.470734i | ||||
\(582\) | 3.82711e8 | 1.94134 | ||||||||
\(583\) | −3.43983e7 | − | 5.95795e7i | −0.173592 | − | 0.300671i | ||||
\(584\) | 3.47865e7 | + | 2.00840e7i | 0.174651 | + | 0.100835i | ||||
\(585\) | 7.08985e7 | − | 1.22800e8i | 0.354136 | − | 0.613381i | ||||
\(586\) | 1.17967e7 | − | 6.81084e6i | 0.0586230 | − | 0.0338460i | ||||
\(587\) | − | 3.09361e7i | − | 0.152950i | −0.997071 | − | 0.0764752i | \(-0.975633\pi\) | ||
0.997071 | − | 0.0764752i | \(-0.0243666\pi\) | |||||||
\(588\) | −1.51336e8 | − | 5.10317e7i | −0.744405 | − | 0.251020i | ||||
\(589\) | −35380.1 | −0.000173146 | ||||||||
\(590\) | −4.16422e7 | − | 7.21264e7i | −0.202758 | − | 0.351187i | ||||
\(591\) | 2.33935e8 | + | 1.35063e8i | 1.13327 | + | 0.654294i | ||||
\(592\) | 4.75798e6 | − | 8.24107e6i | 0.0229328 | − | 0.0397208i | ||||
\(593\) | 1.93620e8 | − | 1.11786e8i | 0.928508 | − | 0.536075i | 0.0421688 | − | 0.999110i | \(-0.486573\pi\) |
0.886339 | + | 0.463036i | \(0.153240\pi\) | |||||||
\(594\) | 9.11465e7i | 0.434891i | ||||||||
\(595\) | 2.24251e8 | − | 4.96263e8i | 1.06459 | − | 2.35592i | ||||
\(596\) | −1.33505e8 | −0.630607 | ||||||||
\(597\) | −8.91601e7 | − | 1.54430e8i | −0.419032 | − | 0.725785i | ||||
\(598\) | −2.94022e6 | − | 1.69754e6i | −0.0137492 | − | 0.00793808i | ||||
\(599\) | −1.14788e8 | + | 1.98818e8i | −0.534090 | + | 0.925071i | 0.465117 | + | 0.885249i | \(0.346012\pi\) |
−0.999207 | + | 0.0398220i | \(0.987321\pi\) | |||||||
\(600\) | 1.29795e8 | − | 7.49371e7i | 0.600902 | − | 0.346931i | ||||
\(601\) | 2.45821e8i | 1.13239i | 0.824272 | + | 0.566194i | \(0.191585\pi\) | ||||
−0.824272 | + | 0.566194i | \(0.808415\pi\) | |||||||
\(602\) | −8.79846e7 | + | 8.75524e6i | −0.403290 | + | 0.0401309i | ||||
\(603\) | 4.66731e8 | 2.12870 | ||||||||
\(604\) | −9.92746e7 | − | 1.71949e8i | −0.450534 | − | 0.780347i | ||||
\(605\) | −8.69132e7 | − | 5.01794e7i | −0.392482 | − | 0.226600i | ||||
\(606\) | −1.56397e8 | + | 2.70888e8i | −0.702767 | + | 1.21723i | ||||
\(607\) | −1.95506e7 | + | 1.12875e7i | −0.0874164 | + | 0.0504699i | −0.543071 | − | 0.839687i | \(-0.682739\pi\) |
0.455655 | + | 0.890157i | \(0.349405\pi\) | |||||||
\(608\) | − | 147193.i | − | 0.000654903i | ||||||
\(609\) | 1.78577e8 | − | 1.28239e8i | 0.790632 | − | 0.567765i | ||||
\(610\) | 1.85261e8 | 0.816196 | ||||||||
\(611\) | 4.88940e7 | + | 8.46868e7i | 0.214354 | + | 0.371272i | ||||
\(612\) | 2.51284e8 | + | 1.45079e8i | 1.09625 | + | 0.632922i | ||||
\(613\) | −4.89992e7 | + | 8.48691e7i | −0.212720 | + | 0.368441i | −0.952565 | − | 0.304336i | \(-0.901565\pi\) |
0.739845 | + | 0.672777i | \(0.234899\pi\) | |||||||
\(614\) | 9.43924e7 | − | 5.44975e7i | 0.407786 | − | 0.235435i | ||||
\(615\) | 8.73416e8i | 3.75488i | ||||||||
\(616\) | −4.02674e7 | − | 5.60737e7i | −0.172271 | − | 0.239893i | ||||
\(617\) | 1.51949e7 | 0.0646907 | 0.0323454 | − | 0.999477i | \(-0.489702\pi\) | ||||
0.0323454 | + | 0.999477i | \(0.489702\pi\) | |||||||
\(618\) | 796362. | + | 1.37934e6i | 0.00337400 | + | 0.00584394i | ||||
\(619\) | −3.56350e8 | − | 2.05739e8i | −1.50247 | − | 0.867450i | −0.999996 | − | 0.00285722i | \(-0.999091\pi\) |
−0.502472 | − | 0.864593i | \(-0.667576\pi\) | |||||||
\(620\) | −4.17619e6 | + | 7.23337e6i | −0.0175229 | + | 0.0303505i | ||||
\(621\) | 1.06611e7 | − | 6.15518e6i | 0.0445171 | − | 0.0257019i | ||||
\(622\) | − | 2.13190e8i | − | 0.885922i | ||||||
\(623\) | −4.49449e6 | − | 4.51667e7i | −0.0185873 | − | 0.186790i | ||||
\(624\) | −3.06911e7 | −0.126316 | ||||||||
\(625\) | 8.40904e7 | + | 1.45649e8i | 0.344434 | + | 0.596578i | ||||
\(626\) | −1.96655e8 | − | 1.13539e8i | −0.801643 | − | 0.462829i | ||||
\(627\) | 599263. | − | 1.03795e6i | 0.00243117 | − | 0.00421090i | ||||
\(628\) | 5.45495e7 | − | 3.14942e7i | 0.220248 | − | 0.127160i | ||||
\(629\) | − | 7.87057e7i | − | 0.316267i | ||||||
\(630\) | −3.54866e8 | − | 1.60357e8i | −1.41920 | − | 0.641308i | ||||
\(631\) | −3.87782e8 | −1.54348 | −0.771738 | − | 0.635941i | \(-0.780612\pi\) | ||||
−0.771738 | + | 0.635941i | \(0.780612\pi\) | |||||||
\(632\) | 6.03227e7 | + | 1.04482e8i | 0.238963 | + | 0.413895i | ||||
\(633\) | 4.90635e8 | + | 2.83268e8i | 1.93440 | + | 1.11683i | ||||
\(634\) | 1.51121e8 | − | 2.61750e8i | 0.593005 | − | 1.02711i | ||||
\(635\) | −1.22155e8 | + | 7.05259e7i | −0.477077 | + | 0.275440i | ||||
\(636\) | 8.39963e7i | 0.326504i | ||||||||
\(637\) | 6.23832e7 | − | 5.49313e7i | 0.241351 | − | 0.212521i | ||||
\(638\) | 9.50317e7 | 0.365937 | ||||||||
\(639\) | −3.00605e8 | − | 5.20663e8i | −1.15211 | − | 1.99551i | ||||
\(640\) | −3.00932e7 | − | 1.73743e7i | −0.114797 | − | 0.0662778i | ||||
\(641\) | 7.01490e7 | − | 1.21502e8i | 0.266347 | − | 0.461326i | −0.701569 | − | 0.712602i | \(-0.747517\pi\) |
0.967916 | + | 0.251276i | \(0.0808500\pi\) | |||||||
\(642\) | −2.72660e8 | + | 1.57420e8i | −1.03042 | + | 0.594915i | ||||
\(643\) | − | 2.07832e8i | − | 0.781772i | −0.920439 | − | 0.390886i | \(-0.872169\pi\) | ||
0.920439 | − | 0.390886i | \(-0.127831\pi\) | |||||||
\(644\) | −3.83946e6 | + | 8.49663e6i | −0.0143751 | + | 0.0318119i | ||||
\(645\) | −3.62393e8 | −1.35052 | ||||||||
\(646\) | −608711. | − | 1.05432e6i | −0.00225794 | − | 0.00391087i | ||||
\(647\) | 6.02345e7 | + | 3.47764e7i | 0.222399 | + | 0.128402i | 0.607060 | − | 0.794656i | \(-0.292349\pi\) |
−0.384662 | + | 0.923058i | \(0.625682\pi\) | |||||||
\(648\) | −1.49983e7 | + | 2.59779e7i | −0.0551212 | + | 0.0954727i | ||||
\(649\) | −7.56226e7 | + | 4.36607e7i | −0.276642 | + | 0.159719i | ||||
\(650\) | 7.80029e7i | 0.284034i | ||||||||
\(651\) | 2.01600e7 | − | 2.00610e6i | 0.0730714 | − | 0.00727125i | ||||
\(652\) | 3.89985e7 | 0.140704 | ||||||||
\(653\) | 4.98072e7 | + | 8.62686e7i | 0.178876 | + | 0.309823i | 0.941496 | − | 0.337024i | \(-0.109420\pi\) |
−0.762620 | + | 0.646847i | \(0.776087\pi\) | |||||||
\(654\) | 3.20590e8 | + | 1.85093e8i | 1.14609 | + | 0.661693i | ||||
\(655\) | −2.45109e7 | + | 4.24542e7i | −0.0872240 | + | 0.151076i | ||||
\(656\) | 9.73979e7 | − | 5.62327e7i | 0.345015 | − | 0.199194i | ||||
\(657\) | − | 2.37567e8i | − | 0.837702i | ||||||
\(658\) | 2.18135e8 | − | 1.56647e8i | 0.765682 | − | 0.549849i | ||||
\(659\) | 3.37346e8 | 1.17874 | 0.589372 | − | 0.807862i | \(-0.299375\pi\) | ||||
0.589372 | + | 0.807862i | \(0.299375\pi\) | |||||||
\(660\) | −1.41471e8 | − | 2.45035e8i | −0.492080 | − | 0.852308i | ||||
\(661\) | 3.16534e8 | + | 1.82751e8i | 1.09601 | + | 0.632784i | 0.935171 | − | 0.354196i | \(-0.115246\pi\) |
0.160842 | + | 0.986980i | \(0.448579\pi\) | |||||||
\(662\) | 5.91995e7 | − | 1.02536e8i | 0.204053 | − | 0.353431i | ||||
\(663\) | −2.19835e8 | + | 1.26922e8i | −0.754319 | + | 0.435507i | ||||
\(664\) | − | 1.18321e8i | − | 0.404163i | ||||||
\(665\) | 953036. | + | 1.32713e6i | 0.00324074 | + | 0.00451284i | ||||
\(666\) | −5.62807e7 | −0.190518 | ||||||||
\(667\) | −6.41755e6 | − | 1.11155e7i | −0.0216268 | − | 0.0374587i | ||||
\(668\) | 1.76871e7 | + | 1.02117e7i | 0.0593373 | + | 0.0342584i | ||||
\(669\) | −1.48179e8 | + | 2.56653e8i | −0.494889 | + | 0.857173i | ||||
\(670\) | −4.00363e8 | + | 2.31150e8i | −1.33116 | + | 0.768545i | ||||
\(671\) | − | 1.94241e8i | − | 0.642944i | ||||||
\(672\) | 8.34604e6 | + | 8.38723e7i | 0.0275025 | + | 0.276383i | ||||
\(673\) | −4.77356e8 | −1.56602 | −0.783010 | − | 0.622008i | \(-0.786317\pi\) | ||||
−0.783010 | + | 0.622008i | \(0.786317\pi\) | |||||||
\(674\) | 1.44913e7 | + | 2.50997e7i | 0.0473291 | + | 0.0819764i | ||||
\(675\) | −2.44942e8 | − | 1.41417e8i | −0.796438 | − | 0.459823i | ||||
\(676\) | −6.92423e7 | + | 1.19931e8i | −0.224146 | + | 0.388232i | ||||
\(677\) | −4.89050e8 | + | 2.82353e8i | −1.57611 | + | 0.909969i | −0.580718 | + | 0.814105i | \(0.697228\pi\) |
−0.995394 | + | 0.0958642i | \(0.969439\pi\) | |||||||
\(678\) | − | 2.45283e8i | − | 0.787006i | ||||||
\(679\) | 4.98485e8 | + | 2.25255e8i | 1.59236 | + | 0.719558i | ||||
\(680\) | −2.87403e8 | −0.914039 | ||||||||
\(681\) | 1.01923e7 | + | 1.76536e7i | 0.0322724 | + | 0.0558975i | ||||
\(682\) | 7.58399e6 | + | 4.37862e6i | 0.0239081 | + | 0.0138033i | ||||
\(683\) | −2.53875e7 | + | 4.39724e7i | −0.0796814 | + | 0.138012i | −0.903112 | − | 0.429404i | \(-0.858724\pi\) |
0.823431 | + | 0.567416i | \(0.192057\pi\) | |||||||
\(684\) | −753919. | + | 435275.i | −0.00235590 | + | 0.00136018i | ||||
\(685\) | 1.31025e8i | 0.407646i | ||||||||
\(686\) | −1.67080e8 | − | 1.55542e8i | −0.517551 | − | 0.481811i | ||||
\(687\) | 4.85988e8 | 1.49884 | ||||||||
\(688\) | 2.33317e7 | + | 4.04118e7i | 0.0716443 | + | 0.124092i | ||||
\(689\) | −3.78595e7 | − | 2.18582e7i | −0.115749 | − | 0.0668277i | ||||
\(690\) | −1.91073e7 | + | 3.30947e7i | −0.0581636 | + | 0.100742i | ||||
\(691\) | 1.50527e8 | − | 8.69068e7i | 0.456226 | − | 0.263402i | −0.254230 | − | 0.967144i | \(-0.581822\pi\) |
0.710456 | + | 0.703741i | \(0.248489\pi\) | |||||||
\(692\) | 1.99020e7i | 0.0600592i | ||||||||
\(693\) | −1.68130e8 | + | 3.72068e8i | −0.505180 | + | 1.11795i | ||||
\(694\) | −7.55483e6 | −0.0226020 | ||||||||
\(695\) | 1.50249e8 | + | 2.60239e8i | 0.447566 | + | 0.775206i | ||||
\(696\) | −1.00483e8 | − | 5.80139e7i | −0.298034 | − | 0.172070i | ||||
\(697\) | 4.65095e8 | − | 8.05569e8i | 1.37355 | − | 2.37905i | ||||
\(698\) | 2.87075e8 | − | 1.65743e8i | 0.844167 | − | 0.487380i | ||||
\(699\) | 6.07492e8i | 1.77873i | ||||||||
\(700\) | 2.13166e8 | − | 2.12119e7i | 0.621474 | − | 0.0618422i | ||||
\(701\) | 1.13297e7 | 0.0328899 | 0.0164450 | − | 0.999865i | \(-0.494765\pi\) | ||||
0.0164450 | + | 0.999865i | \(0.494765\pi\) | |||||||
\(702\) | 2.89593e7 | + | 5.01589e7i | 0.0837098 | + | 0.144990i | ||||
\(703\) | 204501. | + | 118069.i | 0.000588613 | + | 0.000339836i | ||||
\(704\) | −1.82165e7 | + | 3.15519e7i | −0.0522092 | + | 0.0904291i | ||||
\(705\) | 9.53225e8 | − | 5.50345e8i | 2.72037 | − | 1.57061i | ||||
\(706\) | − | 3.29066e8i | − | 0.935123i | ||||||
\(707\) | −3.63148e8 | + | 2.60782e8i | −1.02760 | + | 0.737938i | ||||
\(708\) | 1.06614e8 | 0.300410 | ||||||||
\(709\) | −9.56188e7 | − | 1.65617e8i | −0.268290 | − | 0.464692i | 0.700130 | − | 0.714015i | \(-0.253125\pi\) |
−0.968420 | + | 0.249323i | \(0.919792\pi\) | |||||||
\(710\) | 5.15720e8 | + | 2.97751e8i | 1.44092 | + | 0.831914i | ||||
\(711\) | 3.56769e8 | − | 6.17942e8i | 0.992610 | − | 1.71925i | ||||
\(712\) | −2.07453e7 | + | 1.19773e7i | −0.0574751 | + | 0.0331833i | ||||
\(713\) | − | 1.18276e6i | − | 0.00326309i | ||||||
\(714\) | 4.06631e8 | + | 5.66248e8i | 1.11714 | + | 1.55565i | ||||
\(715\) | 1.47259e8 | 0.402868 | ||||||||
\(716\) | 8.83397e7 | + | 1.53009e8i | 0.240667 | + | 0.416848i | ||||
\(717\) | −3.36391e8 | − | 1.94216e8i | −0.912614 | − | 0.526898i | ||||
\(718\) | −1.57916e8 | + | 2.73519e8i | −0.426633 | + | 0.738949i | ||||
\(719\) | −2.80196e8 | + | 1.61771e8i | −0.753832 | + | 0.435225i | −0.827077 | − | 0.562089i | \(-0.809998\pi\) |
0.0732447 | + | 0.997314i | \(0.476665\pi\) | |||||||
\(720\) | 2.05515e8i | 0.550614i | ||||||||
\(721\) | 225420. | + | 2.26533e6i | 0.000601432 | + | 0.00604401i | ||||
\(722\) | −2.66128e8 | −0.707097 | ||||||||
\(723\) | −5.28453e8 | − | 9.15308e8i | −1.39827 | − | 2.42188i | ||||
\(724\) | −1.05295e8 | − | 6.07920e7i | −0.277454 | − | 0.160188i | ||||
\(725\) | −1.47445e8 | + | 2.55383e8i | −0.386916 | + | 0.670158i | ||||
\(726\) | 1.11259e8 | − | 6.42357e7i | 0.290755 | − | 0.167867i | ||||
\(727\) | − | 1.14232e8i | − | 0.297293i | −0.988890 | − | 0.148646i | \(-0.952508\pi\) | ||
0.988890 | − | 0.148646i | \(-0.0474916\pi\) | |||||||
\(728\) | −3.99755e7 | − | 1.80641e7i | −0.103609 | − | 0.0468191i | ||||
\(729\) | 6.25574e8 | 1.61472 | ||||||||
\(730\) | 1.17656e8 | + | 2.03786e8i | 0.302443 | + | 0.523847i | ||||
\(731\) | 3.34242e8 | + | 1.92975e8i | 0.855675 | + | 0.494024i | ||||
\(732\) | −1.18578e8 | + | 2.05383e8i | −0.302323 | + | 0.523639i | ||||
\(733\) | −1.17409e8 | + | 6.77861e7i | −0.298119 | + | 0.172119i | −0.641597 | − | 0.767042i | \(-0.721728\pi\) |
0.343479 | + | 0.939160i | \(0.388395\pi\) | |||||||
\(734\) | 4.91059e7i | 0.124178i | ||||||||
\(735\) | −6.18301e8 | − | 7.02177e8i | −1.55718 | − | 1.76842i | ||||
\(736\) | 4.92069e6 | 0.0123422 | ||||||||
\(737\) | 2.42354e8 | + | 4.19770e8i | 0.605408 | + | 1.04860i | ||||
\(738\) | −5.76044e8 | − | 3.32579e8i | −1.43313 | − | 0.827420i | ||||
\(739\) | −3.16427e8 | + | 5.48068e8i | −0.784044 | + | 1.35800i | 0.145524 | + | 0.989355i | \(0.453513\pi\) |
−0.929568 | + | 0.368650i | \(0.879820\pi\) | |||||||
\(740\) | 4.82777e7 | − | 2.78731e7i | 0.119138 | − | 0.0687845i | ||||
\(741\) | − | 761596.i | − | 0.00187185i | ||||||
\(742\) | −4.94385e7 | + | 1.09406e8i | −0.121019 | + | 0.267812i | ||||
\(743\) | −2.81712e8 | −0.686814 | −0.343407 | − | 0.939187i | \(-0.611581\pi\) | ||||
−0.343407 | + | 0.939187i | \(0.611581\pi\) | |||||||
\(744\) | −5.34603e6 | − | 9.25959e6i | −0.0129811 | − | 0.0224840i | ||||
\(745\) | −6.77316e8 | − | 3.91048e8i | −1.63803 | − | 0.945718i | ||||
\(746\) | 1.94864e8 | − | 3.37514e8i | 0.469370 | − | 0.812972i | ||||
\(747\) | −6.06035e8 | + | 3.49894e8i | −1.45390 | + | 0.839412i | ||||
\(748\) | 3.01334e8i | 0.720019i | ||||||||
\(749\) | −4.47796e8 | + | 4.45597e7i | −1.06570 | + | 0.106047i | ||||
\(750\) | 1.75085e8 | 0.415016 | ||||||||
\(751\) | −3.04177e7 | − | 5.26850e7i | −0.0718136 | − | 0.124385i | 0.827883 | − | 0.560901i | \(-0.189545\pi\) |
−0.899696 | + | 0.436517i | \(0.856212\pi\) | |||||||
\(752\) | −1.22742e8 | − | 7.08651e7i | −0.288629 | − | 0.166640i | ||||
\(753\) | −4.36993e8 | + | 7.56894e8i | −1.02350 | + | 1.77276i | ||||
\(754\) | 5.22970e7 | − | 3.01937e7i | 0.122001 | − | 0.0704372i | ||||
\(755\) | − | 1.16314e9i | − | 2.70265i | ||||||
\(756\) | 1.29199e8 | − | 9.27797e7i | 0.299015 | − | 0.214728i | ||||
\(757\) | 6.73226e8 | 1.55193 | 0.775967 | − | 0.630774i | \(-0.217262\pi\) | ||||
0.775967 | + | 0.630774i | \(0.217262\pi\) | |||||||
\(758\) | 8.00377e7 | + | 1.38629e8i | 0.183775 | + | 0.318308i | ||||
\(759\) | 3.46989e7 | + | 2.00334e7i | 0.0793580 | + | 0.0458174i | ||||
\(760\) | 431142. | − | 746760.i | 0.000982155 | − | 0.00170114i | ||||
\(761\) | 6.88035e8 | − | 3.97237e8i | 1.56119 | − | 0.901355i | 0.564055 | − | 0.825737i | \(-0.309241\pi\) |
0.997137 | − | 0.0756172i | \(-0.0240927\pi\) | |||||||
\(762\) | − | 1.80564e8i | − | 0.408099i | ||||||
\(763\) | 3.08631e8 | + | 4.29778e8i | 0.694809 | + | 0.967545i | ||||
\(764\) | −1.66760e8 | −0.373948 | ||||||||
\(765\) | 8.49900e8 | + | 1.47207e9i | 1.89838 | + | 3.28809i | ||||
\(766\) | −5.28586e8 | − | 3.05179e8i | −1.17606 | − | 0.678998i | ||||
\(767\) | −2.77440e7 | + | 4.80540e7i | −0.0614869 | + | 0.106498i | ||||
\(768\) | 3.85230e7 | − | 2.22412e7i | 0.0850425 | − | 0.0490993i | ||||
\(769\) | − | 8.61161e7i | − | 0.189367i | −0.995507 | − | 0.0946837i | \(-0.969816\pi\) | ||
0.995507 | − | 0.0946837i | \(-0.0301840\pi\) | |||||||
\(770\) | −4.00451e7 | − | 4.02428e8i | −0.0877157 | − | 0.881487i | ||||
\(771\) | −5.27646e8 | −1.15128 | ||||||||
\(772\) | 5.80044e7 | + | 1.00467e8i | 0.126069 | + | 0.218358i | ||||
\(773\) | −4.87520e8 | − | 2.81470e8i | −1.05549 | − | 0.609387i | −0.131308 | − | 0.991342i | \(-0.541918\pi\) |
−0.924181 | + | 0.381954i | \(0.875251\pi\) | |||||||
\(774\) | 1.37992e8 | − | 2.39009e8i | 0.297598 | − | 0.515455i | ||||
\(775\) | −2.35337e7 | + | 1.35872e7i | −0.0505574 | + | 0.0291894i | ||||
\(776\) | − | 2.88690e8i | − | 0.617797i | ||||||
\(777\) | −1.23222e8 | − | 5.56815e7i | −0.262679 | − | 0.118699i | ||||
\(778\) | −3.66065e8 | −0.777354 | ||||||||
\(779\) | 1.39541e6 | + | 2.41692e6i | 0.00295181 | + | 0.00511269i | ||||
\(780\) | −1.55706e8 | − | 8.98970e7i | −0.328112 | − | 0.189435i | ||||
\(781\) | 3.12184e8 | − | 5.40718e8i | 0.655326 | − | 1.13506i | ||||
\(782\) | 3.52460e7 | − | 2.03493e7i | 0.0737038 | − | 0.0425529i | ||||
\(783\) | 2.18962e8i | 0.456124i | ||||||||
\(784\) | −3.84947e7 | + | 1.14157e8i | −0.0798827 | + | 0.236894i | ||||
\(785\) | 3.68997e8 | 0.762806 | ||||||||
\(786\) | −3.13770e7 | − | 5.43465e7i | −0.0646165 | − | 0.111919i | ||||
\(787\) | 7.72741e8 | + | 4.46142e8i | 1.58529 | + | 0.915269i | 0.994068 | + | 0.108763i | \(0.0346889\pi\) |
0.591225 | + | 0.806506i | \(0.298644\pi\) | |||||||
\(788\) | 1.01882e8 | − | 1.76464e8i | 0.208218 | − | 0.360644i | ||||
\(789\) | 1.04607e9 | − | 6.03950e8i | 2.12976 | − | 1.22962i | ||||
\(790\) | 7.06764e8i | 1.43348i | ||||||||
\(791\) | 1.44368e8 | − | 3.19484e8i | 0.291704 | − | 0.645534i | ||||
\(792\) | 2.15477e8 | 0.433737 | ||||||||
\(793\) | −6.17147e7 | − | 1.06893e8i | −0.123757 | − | 0.214353i | ||||
\(794\) | 3.70743e8 | + | 2.14049e8i | 0.740647 | + | 0.427613i | ||||
\(795\) | −2.46033e8 | + | 4.26142e8i | −0.489657 | + | 0.848111i | ||||
\(796\) | −1.16491e8 | + | 6.72561e7i | −0.230969 | + | 0.133350i | ||||
\(797\) | − | 9.48842e7i | − | 0.187421i | −0.995599 | − | 0.0937106i | \(-0.970127\pi\) | ||
0.995599 | − | 0.0937106i | \(-0.0298729\pi\) | |||||||
\(798\) | −2.08128e6 | + | 207106.i | −0.00409565 | + | 0.000407553i | ||||
\(799\) | −1.17224e9 | −2.29813 | ||||||||
\(800\) | −5.65272e7 | − | 9.79080e7i | −0.110405 | − | 0.191227i | ||||
\(801\) | 1.22695e8 | + | 7.08379e7i | 0.238742 | + | 0.137838i | ||||
\(802\) | 8.80862e6 | − | 1.52570e7i | 0.0170759 | − | 0.0295764i | ||||
\(803\) | 2.13664e8 | − | 1.23359e8i | 0.412652 | − | 0.238245i | ||||
\(804\) | − | 5.91800e8i | − | 1.13869i | ||||||
\(805\) | −4.43663e7 | + | 3.18601e7i | −0.0850482 | + | 0.0610745i | ||||
\(806\) | 5.56474e6 | 0.0106277 | ||||||||
\(807\) | 3.10744e8 | + | 5.38225e8i | 0.591266 | + | 1.02410i | ||||
\(808\) | 2.04339e8 | + | 1.17975e8i | 0.387361 | + | 0.223643i | ||||
\(809\) | −4.13738e8 | + | 7.16615e8i | −0.781411 | + | 1.35344i | 0.149709 | + | 0.988730i | \(0.452166\pi\) |
−0.931120 | + | 0.364714i | \(0.881167\pi\) | |||||||
\(810\) | −1.52183e8 | + | 8.78631e7i | −0.286360 | + | 0.165330i | ||||
\(811\) | 9.28491e8i | 1.74066i | 0.492465 | + | 0.870332i | \(0.336096\pi\) | ||||
−0.492465 | + | 0.870332i | \(0.663904\pi\) | |||||||
\(812\) | −9.67345e7 | − | 1.34706e8i | −0.180681 | − | 0.251605i | ||||
\(813\) | −6.29833e8 | −1.17207 | ||||||||
\(814\) | −2.92242e7 | − | 5.06179e7i | −0.0541839 | − | 0.0938492i | ||||
\(815\) | 1.97853e8 | + | 1.14230e8i | 0.365485 | + | 0.211013i | ||||
\(816\) | 1.83955e8 | − | 3.18620e8i | 0.338565 | − | 0.586412i | ||||
\(817\) | −1.00281e6 | + | 578975.i | −0.00183888 | + | 0.00106168i | ||||
\(818\) | 6.85991e8i | 1.25331i | ||||||||
\(819\) | 2.56904e7 | + | 2.58172e8i | 0.0467647 | + | 0.469956i | ||||
\(820\) | 6.58843e8 | 1.19492 | ||||||||
\(821\) | −2.77346e8 | − | 4.80377e8i | −0.501178 | − | 0.868065i | −0.999999 | − | 0.00136052i | \(-0.999567\pi\) |
0.498821 | − | 0.866705i | \(-0.333766\pi\) | |||||||
\(822\) | −1.45257e8 | − | 8.38641e7i | −0.261530 | − | 0.150994i | ||||
\(823\) | 4.45911e8 | − | 7.72340e8i | 0.799924 | − | 1.38551i | −0.119741 | − | 0.992805i | \(-0.538207\pi\) |
0.919665 | − | 0.392703i | \(-0.128460\pi\) | |||||||
\(824\) | 1.04048e6 | − | 600719.i | 0.00185973 | − | 0.00107372i | ||||
\(825\) | − | 9.20550e8i | − | 1.63940i | ||||||
\(826\) | 1.38866e8 | + | 6.27508e7i | 0.246409 | + | 0.111347i | ||||
\(827\) | −1.38059e8 | −0.244089 | −0.122044 | − | 0.992525i | \(-0.538945\pi\) | ||||
−0.122044 | + | 0.992525i | \(0.538945\pi\) | |||||||
\(828\) | −1.45513e7 | − | 2.52036e7i | −0.0256337 | − | 0.0443989i | ||||
\(829\) | −1.20818e8 | − | 6.97541e7i | −0.212064 | − | 0.122435i | 0.390206 | − | 0.920727i | \(-0.372404\pi\) |
−0.602270 | + | 0.798292i | \(0.705737\pi\) | |||||||
\(830\) | 3.46572e8 | − | 6.00280e8i | 0.606121 | − | 1.04983i | ||||
\(831\) | 8.31403e8 | − | 4.80011e8i | 1.44880 | − | 0.836465i | ||||
\(832\) | 2.31512e7i | 0.0401978i | ||||||||
\(833\) | 1.96360e8 | + | 9.76878e8i | 0.339718 | + | 1.69007i | ||||
\(834\) | −3.84673e8 | −0.663123 | ||||||||
\(835\) | 5.98218e7 | + | 1.03614e8i | 0.102754 | + | 0.177976i | ||||
\(836\) | −782958. | − | 452041.i | −0.00134005 | − | 0.000773676i | ||||
\(837\) | −1.00887e7 | + | 1.74742e7i | −0.0172052 | + | 0.0298003i | ||||
\(838\) | 5.28829e7 | − | 3.05320e7i | 0.0898635 | − | 0.0518827i | ||||
\(839\) | − | 2.67389e8i | − | 0.452750i | −0.974040 | − | 0.226375i | \(-0.927313\pi\) | ||
0.974040 | − | 0.226375i | \(-0.0726874\pi\) | |||||||
\(840\) | −2.03328e8 | + | 4.49959e8i | −0.343051 | + | 0.759163i | ||||
\(841\) | −3.66528e8 | −0.616197 | ||||||||
\(842\) | −1.46107e7 | − | 2.53065e7i | −0.0244757 | − | 0.0423932i | ||||
\(843\) | 9.79127e8 | + | 5.65299e8i | 1.63439 | + | 0.943617i | ||||
\(844\) | 2.13677e8 | − | 3.70100e8i | 0.355411 | − | 0.615590i | ||||
\(845\) | −7.02579e8 | + | 4.05634e8i | −1.16446 | + | 0.672302i | ||||
\(846\) | 8.38240e8i | 1.38439i | ||||||||
\(847\) | 1.82724e8 | − | 1.81827e7i | 0.300709 | − | 0.0299232i | ||||
\(848\) | 6.33609e7 | 0.103904 | ||||||||
\(849\) | −5.52198e8 | − | 9.56436e8i | −0.902344 | − | 1.56291i | ||||
\(850\) | −8.09788e8 | − | 4.67532e8i | −1.31861 | − | 0.761297i | ||||
\(851\) | −3.94706e6 | + | 6.83651e6i | −0.00640450 | + | 0.0110929i | ||||
\(852\) | −6.60184e8 | + | 3.81157e8i | −1.06745 | + | 0.616291i | ||||
\(853\) | 6.69761e8i | 1.07913i | 0.841945 | + | 0.539564i | \(0.181411\pi\) | ||||
−0.841945 | + | 0.539564i | \(0.818589\pi\) | |||||||
\(854\) | −2.75334e8 | + | 1.97722e8i | −0.442065 | + | 0.317454i | ||||
\(855\) | −5.09985e6 | −0.00815941 | ||||||||
\(856\) | 1.18747e8 | + | 2.05675e8i | 0.189321 | + | 0.327914i | ||||
\(857\) | −3.50523e8 | − | 2.02375e8i | −0.556897 | − | 0.321524i | 0.195002 | − | 0.980803i | \(-0.437529\pi\) |
−0.751899 | + | 0.659278i | \(0.770862\pi\) | |||||||
\(858\) | −9.42546e7 | + | 1.63254e8i | −0.149225 | + | 0.258465i | ||||
\(859\) | −2.97655e8 | + | 1.71851e8i | −0.469607 | + | 0.271128i | −0.716075 | − | 0.698023i | \(-0.754063\pi\) |
0.246468 | + | 0.969151i | \(0.420730\pi\) | |||||||
\(860\) | 2.73363e8i | 0.429779i | ||||||||
\(861\) | −9.32162e8 | − | 1.29807e9i | −1.46043 | − | 2.03370i | ||||
\(862\) | 6.49737e8 | 1.01442 | ||||||||
\(863\) | −3.74953e8 | − | 6.49438e8i | −0.583371 | − | 1.01043i | −0.995076 | − | 0.0991110i | \(-0.968400\pi\) |
0.411706 | − | 0.911317i | \(-0.364933\pi\) | |||||||
\(864\) | −7.26985e7 | − | 4.19725e7i | −0.112716 | − | 0.0650764i | ||||
\(865\) | −5.82949e7 | + | 1.00970e8i | −0.0900705 | + | 0.156007i | ||||
\(866\) | 1.03149e8 | − | 5.95529e7i | 0.158822 | − | 0.0916958i | ||||
\(867\) | − | 2.01900e9i | − | 3.09798i | ||||||
\(868\) | −1.51326e6 | − | 1.52073e7i | −0.00231395 | − | 0.0232537i | ||||
\(869\) | 7.41023e8 | 1.12920 | ||||||||
\(870\) | −3.39856e8 | − | 5.88648e8i | −0.516105 | − | 0.893919i | ||||
\(871\) | 2.66740e8 | + | 1.54003e8i | 0.403677 | + | 0.233063i | ||||
\(872\) | 1.39621e8 | − | 2.41831e8i | 0.210572 | − | 0.364722i | ||||
\(873\) | −1.47866e9 | + | 8.53704e8i | −2.22242 | + | 1.28311i | ||||
\(874\) | 122106.i | 0.000182896i | ||||||||
\(875\) | 2.28050e8 | + | 1.03051e8i | 0.340412 | + | 0.153826i | ||||
\(876\) | −3.01227e8 | −0.448107 | ||||||||
\(877\) | 7.44757e7 | + | 1.28996e8i | 0.110412 | + | 0.191239i | 0.915936 | − | 0.401323i | \(-0.131450\pi\) |
−0.805524 | + | 0.592562i | \(0.798116\pi\) | |||||||
\(878\) | 3.22223e7 | + | 1.86035e7i | 0.0476072 | + | 0.0274860i | ||||
\(879\) | −5.10757e7 | + | 8.84658e7i | −0.0752052 | + | 0.130259i | ||||
\(880\) | −1.84837e8 | + | 1.06716e8i | −0.271232 | + | 0.156596i | ||||
\(881\) | 1.17850e9i | 1.72346i | 0.507368 | + | 0.861729i | \(0.330618\pi\) | ||||
−0.507368 | + | 0.861729i | \(0.669382\pi\) | |||||||
\(882\) | 6.98544e8 | − | 1.40413e8i | 1.01809 | − | 0.204645i | ||||
\(883\) | 4.71777e8 | 0.685259 | 0.342630 | − | 0.939471i | \(-0.388682\pi\) | ||||
0.342630 | + | 0.939471i | \(0.388682\pi\) | |||||||
\(884\) | 9.57406e7 | + | 1.65828e8i | 0.138592 | + | 0.240049i | ||||
\(885\) | 5.40890e8 | + | 3.12283e8i | 0.780331 | + | 0.450524i | ||||
\(886\) | −2.20395e8 | + | 3.81735e8i | −0.316884 | + | 0.548860i | ||||
\(887\) | −2.67515e7 | + | 1.54450e7i | −0.0383334 | + | 0.0221318i | −0.519044 | − | 0.854747i | \(-0.673712\pi\) |
0.480711 | + | 0.876879i | \(0.340379\pi\) | |||||||
\(888\) | 7.13620e7i | 0.101913i | ||||||||
\(889\) | 1.06276e8 | − | 2.35186e8i | 0.151262 | − | 0.334739i | ||||
\(890\) | −1.40331e8 | −0.199059 | ||||||||
\(891\) | 9.21221e7 | + | 1.59560e8i | 0.130236 | + | 0.225575i | ||||
\(892\) | 1.93601e8 | + | 1.11776e8i | 0.272780 | + | 0.157490i | ||||
\(893\) | 1.75851e6 | − | 3.04583e6i | 0.00246939 | − | 0.00427712i | ||||
\(894\) | 8.67046e8 | − | 5.00589e8i | 1.21347 | − | 0.700598i | ||||
\(895\) | 1.03502e9i | 1.44371i | ||||||||
\(896\) | 6.32673e7 | − | 6.29566e6i | 0.0879540 | − | 0.00875220i | ||||
\(897\) | 2.54603e7 | 0.0352765 | ||||||||
\(898\) | 4.24141e8 | + | 7.34633e8i | 0.585708 | + | 1.01448i | ||||
\(899\) | 1.82190e7 | + | 1.05188e7i | 0.0250753 | + | 0.0144772i | ||||
\(900\) | −3.34321e8 | + | 5.79061e8i | −0.458603 | + | 0.794323i | ||||
\(901\) | 4.53842e8 | − | 2.62026e8i | 0.620484 | − | 0.358237i | ||||
\(902\) | − | 6.90779e8i | − | 0.941282i | ||||||
\(903\) | 5.38586e8 | − | 3.86767e8i | 0.731462 | − | 0.525275i | ||||
\(904\) | −1.85024e8 | −0.250451 | ||||||||
\(905\) | −3.56131e8 | − | 6.16837e8i | −0.480467 | − | 0.832194i | ||||
\(906\) | 1.28947e9 | + | 7.44479e8i | 1.73392 | + | 1.00108i | ||||
\(907\) | 3.53032e8 | − | 6.11470e8i | 0.473143 | − | 0.819508i | −0.526384 | − | 0.850247i | \(-0.676453\pi\) |
0.999527 | + | 0.0307389i | \(0.00978602\pi\) | |||||||
\(908\) | 1.33166e7 | − | 7.68836e6i | 0.0177884 | − | 0.0102701i | ||||
\(909\) | − | 1.39549e9i | − | 1.85795i | ||||||
\(910\) | −1.49897e8 | − | 2.08737e8i | −0.198916 | − | 0.276997i | ||||
\(911\) | 4.46529e8 | 0.590602 | 0.295301 | − | 0.955404i | \(-0.404580\pi\) | ||||
0.295301 | + | 0.955404i | \(0.404580\pi\) | |||||||
\(912\) | 551914. | + | 955944.i | 0.000727591 | + | 0.00126022i | ||||
\(913\) | −6.29378e8 | − | 3.63371e8i | −0.826988 | − | 0.477462i | ||||
\(914\) | −3.58858e8 | + | 6.21559e8i | −0.469984 | + | 0.814037i | ||||
\(915\) | −1.20317e9 | + | 6.94653e8i | −1.57060 | + | 0.906786i | ||||
\(916\) | − | 3.66595e8i | − | 0.476980i | ||||||
\(917\) | −8.88163e6 | − | 8.92547e7i | −0.0115182 | − | 0.115751i | ||||
\(918\) | −6.94301e8 | −0.897470 | ||||||||
\(919\) | 3.00517e8 | + | 5.20511e8i | 0.387188 | + | 0.670630i | 0.992070 | − | 0.125685i | \(-0.0401130\pi\) |
−0.604882 | + | 0.796315i | \(0.706780\pi\) | |||||||
\(920\) | 2.49643e7 | + | 1.44132e7i | 0.0320595 | + | 0.0185095i | ||||
\(921\) | −4.08687e8 | + | 7.07867e8i | −0.523133 | + | 0.906092i | ||||
\(922\) | −4.08931e8 | + | 2.36097e8i | −0.521744 | + | 0.301229i | ||||
\(923\) | − | 3.96751e8i | − | 0.504560i | ||||||
\(924\) | 4.71770e8 | + | 2.13183e8i | 0.598018 | + | 0.270233i | ||||
\(925\) | 1.81370e8 | 0.229161 | ||||||||
\(926\) | −3.70727e8 | − | 6.42118e8i | −0.466897 | − | 0.808689i | ||||
\(927\) | −6.15373e6 | − | 3.55286e6i | −0.00772501 | − | 0.00446004i | ||||
\(928\) | −4.37616e7 | + | 7.57973e7i | −0.0547582 | + | 0.0948440i | ||||
\(929\) | 8.46917e8 | − | 4.88968e8i | 1.05632 | − | 0.609864i | 0.131904 | − | 0.991262i | \(-0.457891\pi\) |
0.924411 | + | 0.381399i | \(0.124557\pi\) | |||||||
\(930\) | − | 6.26360e7i | − | 0.0778709i | ||||||
\(931\) | −2.83279e6 | − | 955242.i | −0.00351047 | − | 0.00118376i | ||||
\(932\) | 4.58249e8 | 0.566048 | ||||||||
\(933\) | 7.99375e8 | + | 1.38456e9i | 0.984251 | + | 1.70477i | ||||
\(934\) | −4.26198e8 | − | 2.46065e8i | −0.523083 | − | 0.302002i | ||||
\(935\) | −8.82636e8 | + | 1.52877e9i | −1.07981 | + | 1.87028i | ||||
\(936\) | 1.18580e8 | − | 6.84619e7i | 0.144605 | − | 0.0834875i | ||||
\(937\) | 1.61274e8i | 0.196041i | 0.995184 | + | 0.0980205i | \(0.0312511\pi\) | ||||
−0.995184 | + | 0.0980205i | \(0.968749\pi\) | |||||||
\(938\) | 3.48321e8 | − | 7.70825e8i | 0.422057 | − | 0.934001i | ||||
\(939\) | 1.70289e9 | 2.05679 | ||||||||
\(940\) | −4.15141e8 | − | 7.19045e8i | −0.499818 | − | 0.865710i | ||||
\(941\) | 2.13148e8 | + | 1.23061e8i | 0.255807 | + | 0.147690i | 0.622420 | − | 0.782683i | \(-0.286149\pi\) |
−0.366613 | + | 0.930373i | \(0.619483\pi\) | |||||||
\(942\) | −2.36181e8 | + | 4.09077e8i | −0.282548 | + | 0.489387i | ||||
\(943\) | −8.07980e7 | + | 4.66487e7i | −0.0963530 | + | 0.0556294i | ||||
\(944\) | − | 8.04221e7i | − | 0.0956004i | ||||||
\(945\) | 9.27230e8 | − | 9.22676e7i | 1.09873 | − | 0.109334i | ||||
\(946\) | 2.86614e8 | 0.338551 | ||||||||
\(947\) | −7.08264e8 | − | 1.22675e9i | −0.833960 | − | 1.44446i | −0.894874 | − | 0.446318i | \(-0.852735\pi\) |
0.0609142 | − | 0.998143i | \(-0.480598\pi\) | |||||||
\(948\) | −7.83530e8 | − | 4.52372e8i | −0.919668 | − | 0.530970i | ||||
\(949\) | 7.83876e7 | − | 1.35771e8i | 0.0917168 | − | 0.158858i | ||||
\(950\) | 2.42958e6 | − | 1.40272e6i | 0.00283374 | − | 0.00163606i | ||||
\(951\) | 2.26658e9i | 2.63529i | ||||||||
\(952\) | 4.27137e8 | − | 3.06734e8i | 0.495058 | − | 0.355509i | ||||
\(953\) | 7.96546e8 | 0.920306 | 0.460153 | − | 0.887840i | \(-0.347795\pi\) | ||||
0.460153 | + | 0.887840i | \(0.347795\pi\) | |||||||
\(954\) | −1.87369e8 | − | 3.24532e8i | −0.215800 | − | 0.373777i | ||||
\(955\) | −8.46029e8 | − | 4.88455e8i | −0.971349 | − | 0.560808i | ||||
\(956\) | −1.46502e8 | + | 2.53750e8i | −0.167676 | + | 0.290423i | ||||
\(957\) | −6.17182e8 | + | 3.56330e8i | −0.704170 | + | 0.406553i | ||||
\(958\) | − | 7.97535e8i | − | 0.907095i | ||||||
\(959\) | −1.39838e8 | − | 1.94729e8i | −0.158551 | − | 0.220788i | ||||
\(960\) | 2.60587e8 | 0.294536 | ||||||||
\(961\) | −4.42783e8 | − | 7.66922e8i | −0.498908 | − | 0.864134i | ||||
\(962\) | −3.21648e7 | − | 1.85704e7i | −0.0361290 | − | 0.0208591i | ||||
\(963\) | 7.02307e8 | − | 1.21643e9i | 0.786409 | − | 1.36210i | ||||
\(964\) | −6.90443e8 | + | 3.98628e8i | −0.770720 | + | 0.444976i | ||||
\(965\) | 6.79601e8i | 0.756262i | ||||||||
\(966\) | −6.92359e6 | − | 6.95776e7i | −0.00768068 | − | 0.0771860i | ||||
\(967\) | −3.27333e6 | −0.00362002 | −0.00181001 | − | 0.999998i | \(-0.500576\pi\) | ||||
−0.00181001 | + | 0.999998i | \(0.500576\pi\) | |||||||
\(968\) | −4.84548e7 | − | 8.39262e7i | −0.0534209 | − | 0.0925277i | ||||
\(969\) | 7.90652e6 | + | 4.56483e6i | 0.00868989 | + | 0.00501711i | ||||
\(970\) | 8.45599e8 | − | 1.46462e9i | 0.926508 | − | 1.60476i | ||||
\(971\) | −6.30904e8 | + | 3.64252e8i | −0.689137 | + | 0.397873i | −0.803289 | − | 0.595590i | \(-0.796918\pi\) |
0.114152 | + | 0.993463i | \(0.463585\pi\) | |||||||
\(972\) | − | 5.63014e8i | − | 0.613084i | ||||||
\(973\) | −5.01041e8 | − | 2.26411e8i | −0.543920 | − | 0.245787i | ||||
\(974\) | −8.09100e8 | −0.875640 | ||||||||
\(975\) | −2.92479e8 | − | 5.06589e8i | −0.315559 | − | 0.546565i | ||||
\(976\) | 1.54927e8 | + | 8.94470e7i | 0.166639 | + | 0.0962091i | ||||
\(977\) | −2.38256e8 | + | 4.12672e8i | −0.255482 | + | 0.442508i | −0.965026 | − | 0.262153i | \(-0.915567\pi\) |
0.709544 | + | 0.704661i | \(0.248901\pi\) | |||||||
\(978\) | −2.53275e8 | + | 1.46229e8i | −0.270755 | + | 0.156320i | ||||
\(979\) | 1.47133e8i | 0.156806i | ||||||||
\(980\) | −5.29673e8 | + | 4.66402e8i | −0.562768 | + | 0.495544i | ||||
\(981\) | −1.65153e9 | −1.74936 | ||||||||
\(982\) | 2.57505e8 | + | 4.46012e8i | 0.271926 | + | 0.470990i | ||||
\(983\) | −1.44830e8 | − | 8.36176e7i | −0.152475 | − | 0.0880313i | 0.421822 | − | 0.906679i | \(-0.361391\pi\) |
−0.574296 | + | 0.818648i | \(0.694724\pi\) | |||||||
\(984\) | −4.21699e8 | + | 7.30405e8i | −0.442606 | + | 0.766617i | ||||
\(985\) | 1.03376e9 | − | 5.96842e8i | 1.08171 | − | 0.624526i | ||||
\(986\) | 7.23896e8i | 0.755171i | ||||||||
\(987\) | −8.29317e8 | + | 1.83526e9i | −0.862520 | + | 1.90874i | ||||
\(988\) | −574494. | −0.000595682 | ||||||||
\(989\) | −1.93552e7 | − | 3.35242e7i | −0.0200083 | − | 0.0346553i | ||||
\(990\) | 1.09319e9 | + | 6.31153e8i | 1.12665 | + | 0.650473i | ||||
\(991\) | 1.09069e8 | − | 1.88913e8i | 0.112068 | − | 0.194107i | −0.804536 | − | 0.593904i | \(-0.797586\pi\) |
0.916604 | + | 0.399797i | \(0.130919\pi\) | |||||||
\(992\) | −6.98478e6 | + | 4.03266e6i | −0.00715513 | + | 0.00413102i | ||||
\(993\) | 8.87896e8i | 0.906806i | ||||||||
\(994\) | −1.08424e9 | + | 1.07891e8i | −1.10399 | + | 0.109857i | ||||
\(995\) | −7.87997e8 | −0.799936 | ||||||||
\(996\) | 4.43654e8 | + | 7.68432e8i | 0.449021 | + | 0.777727i | ||||
\(997\) | −1.41152e8 | − | 8.14940e7i | −0.142430 | − | 0.0822319i | 0.427092 | − | 0.904208i | \(-0.359538\pi\) |
−0.569521 | + | 0.821976i | \(0.692871\pi\) | |||||||
\(998\) | −1.60130e8 | + | 2.77353e8i | −0.161095 | + | 0.279024i | ||||
\(999\) | 1.16628e8 | − | 6.73353e7i | 0.116979 | − | 0.0675377i |
(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 | 14.7.d.a.3.3 | ✓ | 8 | |
3.2 | odd | 2 | 126.7.n.c.73.2 | 8 | |||
4.3 | odd | 2 | 112.7.s.c.17.4 | 8 | |||
7.2 | even | 3 | 98.7.d.c.19.4 | 8 | |||
7.3 | odd | 6 | 98.7.b.c.97.1 | 8 | |||
7.4 | even | 3 | 98.7.b.c.97.4 | 8 | |||
7.5 | odd | 6 | inner | 14.7.d.a.5.3 | yes | 8 | |
7.6 | odd | 2 | 98.7.d.c.31.4 | 8 | |||
21.5 | even | 6 | 126.7.n.c.19.2 | 8 | |||
28.19 | even | 6 | 112.7.s.c.33.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.7.d.a.3.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.7.d.a.5.3 | yes | 8 | 7.5 | odd | 6 | inner | |
98.7.b.c.97.1 | 8 | 7.3 | odd | 6 | |||
98.7.b.c.97.4 | 8 | 7.4 | even | 3 | |||
98.7.d.c.19.4 | 8 | 7.2 | even | 3 | |||
98.7.d.c.31.4 | 8 | 7.6 | odd | 2 | |||
112.7.s.c.17.4 | 8 | 4.3 | odd | 2 | |||
112.7.s.c.33.4 | 8 | 28.19 | even | 6 | |||
126.7.n.c.19.2 | 8 | 21.5 | even | 6 | |||
126.7.n.c.73.2 | 8 | 3.2 | odd | 2 |