Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,6,Mod(11,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.77381751327\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.2 | ||
Character | \(\chi\) | \(=\) | 36.23 |
Dual form | 36.6.h.a.11.2 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.50860 | − | 1.28660i | −0.973792 | − | 0.227440i | ||||
\(3\) | −13.2152 | + | 8.26786i | −0.847758 | + | 0.530383i | ||||
\(4\) | 28.6893 | + | 14.1747i | 0.896542 | + | 0.442959i | ||||
\(5\) | 38.3603 | + | 22.1474i | 0.686211 | + | 0.396184i | 0.802191 | − | 0.597068i | \(-0.203668\pi\) |
−0.115980 | + | 0.993252i | \(0.537001\pi\) | |||||||
\(6\) | 83.4349 | − | 28.5416i | 0.946170 | − | 0.323669i | ||||
\(7\) | −102.940 | + | 59.4323i | −0.794032 | + | 0.458435i | −0.841380 | − | 0.540444i | \(-0.818256\pi\) |
0.0473481 | + | 0.998878i | \(0.484923\pi\) | |||||||
\(8\) | −139.801 | − | 114.994i | −0.772299 | − | 0.635259i | ||||
\(9\) | 106.285 | − | 218.523i | 0.437387 | − | 0.899273i | ||||
\(10\) | −182.817 | − | 171.355i | −0.578118 | − | 0.541873i | ||||
\(11\) | −349.253 | − | 604.924i | −0.870279 | − | 1.50737i | −0.861708 | − | 0.507404i | \(-0.830605\pi\) |
−0.00857110 | − | 0.999963i | \(-0.502728\pi\) | |||||||
\(12\) | −496.331 | + | 49.8776i | −0.994989 | + | 0.0999890i | ||||
\(13\) | −271.774 | + | 470.726i | −0.446014 | + | 0.772520i | −0.998122 | − | 0.0612530i | \(-0.980490\pi\) |
0.552108 | + | 0.833773i | \(0.313824\pi\) | |||||||
\(14\) | 643.519 | − | 194.947i | 0.877488 | − | 0.265825i | ||||
\(15\) | −690.052 | + | 24.4752i | −0.791870 | + | 0.0280865i | ||||
\(16\) | 622.157 | + | 813.324i | 0.607575 | + | 0.794262i | ||||
\(17\) | − | 1884.06i | − | 1.58114i | −0.612369 | − | 0.790572i | \(-0.709783\pi\) | ||
0.612369 | − | 0.790572i | \(-0.290217\pi\) | |||||||
\(18\) | −866.633 | + | 1067.01i | −0.630455 | + | 0.776226i | ||||
\(19\) | − | 961.023i | − | 0.610731i | −0.952235 | − | 0.305366i | \(-0.901221\pi\) | ||
0.952235 | − | 0.305366i | \(-0.0987786\pi\) | |||||||
\(20\) | 786.601 | + | 1179.14i | 0.439724 | + | 0.659158i | ||||
\(21\) | 868.996 | − | 1636.50i | 0.430001 | − | 0.809783i | ||||
\(22\) | 1145.60 | + | 3781.63i | 0.504635 | + | 1.66580i | ||||
\(23\) | −566.279 | + | 980.824i | −0.223208 | + | 0.386608i | −0.955780 | − | 0.294081i | \(-0.904986\pi\) |
0.732572 | + | 0.680690i | \(0.238320\pi\) | |||||||
\(24\) | 2798.26 | + | 363.821i | 0.991653 | + | 0.128932i | ||||
\(25\) | −581.490 | − | 1007.17i | −0.186077 | − | 0.322294i | ||||
\(26\) | 2102.73 | − | 2243.38i | 0.610027 | − | 0.650832i | ||||
\(27\) | 402.137 | + | 3766.59i | 0.106161 | + | 0.994349i | ||||
\(28\) | −3795.71 | + | 245.936i | −0.914951 | + | 0.0592825i | ||||
\(29\) | 173.063 | − | 99.9180i | 0.0382128 | − | 0.0220622i | −0.480772 | − | 0.876846i | \(-0.659643\pi\) |
0.518985 | + | 0.854784i | \(0.326310\pi\) | |||||||
\(30\) | 3832.71 | + | 752.994i | 0.777505 | + | 0.152753i | ||||
\(31\) | 225.699 | + | 130.308i | 0.0421819 | + | 0.0243537i | 0.520943 | − | 0.853592i | \(-0.325581\pi\) |
−0.478761 | + | 0.877945i | \(0.658914\pi\) | |||||||
\(32\) | −2380.79 | − | 5280.74i | −0.411005 | − | 0.911633i | ||||
\(33\) | 9616.89 | + | 5106.64i | 1.53727 | + | 0.816302i | ||||
\(34\) | −2424.02 | + | 10378.5i | −0.359616 | + | 1.53971i | ||||
\(35\) | −5265.07 | −0.726498 | ||||||||
\(36\) | 6146.75 | − | 4762.74i | 0.790477 | − | 0.612492i | ||||
\(37\) | −11136.8 | −1.33738 | −0.668690 | − | 0.743541i | \(-0.733145\pi\) | ||||
−0.668690 | + | 0.743541i | \(0.733145\pi\) | |||||||
\(38\) | −1236.45 | + | 5293.89i | −0.138905 | + | 0.594725i | ||||
\(39\) | −300.339 | − | 8467.74i | −0.0316192 | − | 0.891468i | ||||
\(40\) | −2816.00 | − | 7507.44i | −0.278280 | − | 0.741894i | ||||
\(41\) | −8446.51 | − | 4876.59i | −0.784725 | − | 0.453061i | 0.0533772 | − | 0.998574i | \(-0.483001\pi\) |
−0.838102 | + | 0.545513i | \(0.816335\pi\) | |||||||
\(42\) | −6892.47 | + | 7896.79i | −0.602909 | + | 0.690761i | ||||
\(43\) | 5303.93 | − | 3062.23i | 0.437448 | − | 0.252561i | −0.265066 | − | 0.964230i | \(-0.585394\pi\) |
0.702515 | + | 0.711669i | \(0.252061\pi\) | |||||||
\(44\) | −1445.24 | − | 22305.4i | −0.112540 | − | 1.73692i | ||||
\(45\) | 8916.85 | − | 6028.70i | 0.656417 | − | 0.443805i | ||||
\(46\) | 4381.33 | − | 4674.39i | 0.305289 | − | 0.325710i | ||||
\(47\) | −589.363 | − | 1020.81i | −0.0389169 | − | 0.0674061i | 0.845911 | − | 0.533324i | \(-0.179057\pi\) |
−0.884828 | + | 0.465918i | \(0.845724\pi\) | |||||||
\(48\) | −14946.4 | − | 5604.37i | −0.936340 | − | 0.351094i | ||||
\(49\) | −1339.11 | + | 2319.40i | −0.0796755 | + | 0.138002i | ||||
\(50\) | 1907.37 | + | 6296.23i | 0.107897 | + | 0.356169i | ||||
\(51\) | 15577.1 | + | 24898.3i | 0.838612 | + | 1.34043i | ||||
\(52\) | −14469.4 | + | 9652.51i | −0.742065 | + | 0.495030i | ||||
\(53\) | 34070.7i | 1.66606i | 0.553227 | + | 0.833031i | \(0.313396\pi\) | ||||
−0.553227 | + | 0.833031i | \(0.686604\pi\) | |||||||
\(54\) | 2630.87 | − | 21266.0i | 0.122776 | − | 0.992434i | ||||
\(55\) | − | 30940.1i | − | 1.37916i | ||||||
\(56\) | 21225.5 | + | 3528.78i | 0.904455 | + | 0.150368i | ||||
\(57\) | 7945.60 | + | 12700.2i | 0.323921 | + | 0.517752i | ||||
\(58\) | −1081.89 | + | 327.746i | −0.0422292 | + | 0.0127929i | ||||
\(59\) | 5319.11 | − | 9212.96i | 0.198934 | − | 0.344564i | −0.749249 | − | 0.662288i | \(-0.769585\pi\) |
0.948183 | + | 0.317725i | \(0.102919\pi\) | |||||||
\(60\) | −20144.1 | − | 9079.09i | −0.722386 | − | 0.325585i | ||||
\(61\) | −5470.51 | − | 9475.20i | −0.188236 | − | 0.326035i | 0.756426 | − | 0.654079i | \(-0.226944\pi\) |
−0.944662 | + | 0.328045i | \(0.893610\pi\) | |||||||
\(62\) | −1075.63 | − | 1008.20i | −0.0355374 | − | 0.0333093i | ||||
\(63\) | 2046.38 | + | 28811.5i | 0.0649584 | + | 0.914565i | ||||
\(64\) | 6320.66 | + | 32152.6i | 0.192891 | + | 0.981220i | ||||
\(65\) | −20850.7 | + | 12038.1i | −0.612120 | + | 0.353408i | ||||
\(66\) | −46405.4 | − | 40503.5i | −1.31132 | − | 1.14454i | ||||
\(67\) | 49766.8 | + | 28732.9i | 1.35442 | + | 0.781974i | 0.988865 | − | 0.148816i | \(-0.0475461\pi\) |
0.365554 | + | 0.930790i | \(0.380879\pi\) | |||||||
\(68\) | 26705.9 | − | 54052.3i | 0.700382 | − | 1.41756i | ||||
\(69\) | −625.799 | − | 17643.7i | −0.0158238 | − | 0.446136i | ||||
\(70\) | 29003.2 | + | 6774.02i | 0.707458 | + | 0.165235i | ||||
\(71\) | −70902.1 | −1.66922 | −0.834610 | − | 0.550842i | \(-0.814307\pi\) | ||||
−0.834610 | + | 0.550842i | \(0.814307\pi\) | |||||||
\(72\) | −39987.7 | + | 18327.6i | −0.909065 | + | 0.416653i | ||||
\(73\) | −18551.8 | −0.407454 | −0.203727 | − | 0.979028i | \(-0.565305\pi\) | ||||
−0.203727 | + | 0.979028i | \(0.565305\pi\) | |||||||
\(74\) | 61348.0 | + | 14328.5i | 1.30233 | + | 0.304174i | ||||
\(75\) | 16011.7 | + | 8502.31i | 0.328687 | + | 0.174536i | ||||
\(76\) | 13622.2 | − | 27571.1i | 0.270529 | − | 0.547546i | ||||
\(77\) | 71904.1 | + | 41513.8i | 1.38206 | + | 0.797932i | ||||
\(78\) | −9240.11 | + | 47031.8i | −0.171965 | + | 0.875296i | ||||
\(79\) | 12856.7 | − | 7422.81i | 0.231772 | − | 0.133814i | −0.379617 | − | 0.925144i | \(-0.623944\pi\) |
0.611389 | + | 0.791330i | \(0.290611\pi\) | |||||||
\(80\) | 5853.17 | + | 44978.5i | 0.102251 | + | 0.785743i | ||||
\(81\) | −36455.9 | − | 46451.6i | −0.617385 | − | 0.786661i | ||||
\(82\) | 40254.2 | + | 37730.4i | 0.661115 | + | 0.619665i | ||||
\(83\) | 1200.62 | + | 2079.54i | 0.0191298 | + | 0.0331338i | 0.875432 | − | 0.483342i | \(-0.160577\pi\) |
−0.856302 | + | 0.516475i | \(0.827244\pi\) | |||||||
\(84\) | 48127.8 | − | 34632.5i | 0.744214 | − | 0.535532i | ||||
\(85\) | 41726.9 | − | 72273.0i | 0.626424 | − | 1.08500i | ||||
\(86\) | −33157.1 | + | 10044.6i | −0.483426 | + | 0.146449i | ||||
\(87\) | −1460.96 | + | 2751.30i | −0.0206938 | + | 0.0389709i | ||||
\(88\) | −20736.8 | + | 124731.i | −0.285454 | + | 1.71699i | ||||
\(89\) | 28779.3i | 0.385129i | 0.981284 | + | 0.192564i | \(0.0616804\pi\) | ||||
−0.981284 | + | 0.192564i | \(0.938320\pi\) | |||||||
\(90\) | −56875.8 | + | 21737.3i | −0.740153 | + | 0.282878i | ||||
\(91\) | − | 64608.5i | − | 0.817874i | ||||||
\(92\) | −30149.0 | + | 20112.4i | −0.371367 | + | 0.247739i | ||||
\(93\) | −4060.03 | + | 144.004i | −0.0486768 | + | 0.00172650i | ||||
\(94\) | 1933.20 | + | 6381.49i | 0.0225661 | + | 0.0744908i | ||||
\(95\) | 21284.1 | − | 36865.2i | 0.241962 | − | 0.419090i | ||||
\(96\) | 75123.2 | + | 50102.2i | 0.831948 | + | 0.554854i | ||||
\(97\) | −78738.0 | − | 136378.i | −0.849680 | − | 1.47169i | −0.881494 | − | 0.472195i | \(-0.843462\pi\) |
0.0318145 | − | 0.999494i | \(-0.489871\pi\) | |||||||
\(98\) | 10360.7 | − | 11053.8i | 0.108975 | − | 0.116264i | ||||
\(99\) | −169310. | + | 12025.5i | −1.73618 | + | 0.123315i | ||||
\(100\) | −2406.25 | − | 37137.5i | −0.0240625 | − | 0.371375i | ||||
\(101\) | −48022.2 | + | 27725.6i | −0.468424 | + | 0.270444i | −0.715580 | − | 0.698531i | \(-0.753837\pi\) |
0.247156 | + | 0.968976i | \(0.420504\pi\) | |||||||
\(102\) | −53774.1 | − | 157196.i | −0.511767 | − | 1.49603i | ||||
\(103\) | −99722.3 | − | 57574.7i | −0.926188 | − | 0.534735i | −0.0405841 | − | 0.999176i | \(-0.512922\pi\) |
−0.885604 | + | 0.464441i | \(0.846255\pi\) | |||||||
\(104\) | 92125.0 | − | 34555.6i | 0.835207 | − | 0.313281i | ||||
\(105\) | 69579.2 | − | 43530.9i | 0.615894 | − | 0.385322i | ||||
\(106\) | 43835.2 | − | 187682.i | 0.378929 | − | 1.62240i | ||||
\(107\) | −162431. | −1.37155 | −0.685773 | − | 0.727815i | \(-0.740536\pi\) | ||||
−0.685773 | + | 0.727815i | \(0.740536\pi\) | |||||||
\(108\) | −41853.1 | + | 113761.i | −0.345278 | + | 0.938500i | ||||
\(109\) | 174442. | 1.40632 | 0.703160 | − | 0.711032i | \(-0.251772\pi\) | ||||
0.703160 | + | 0.711032i | \(0.251772\pi\) | |||||||
\(110\) | −39807.4 | + | 170437.i | −0.313677 | + | 1.34302i | ||||
\(111\) | 147175. | − | 92077.2i | 1.13377 | − | 0.709324i | ||||
\(112\) | −112382. | − | 46747.2i | −0.846551 | − | 0.352136i | ||||
\(113\) | −79120.9 | − | 45680.5i | −0.582901 | − | 0.336538i | 0.179384 | − | 0.983779i | \(-0.442589\pi\) |
−0.762286 | + | 0.647241i | \(0.775923\pi\) | |||||||
\(114\) | −27429.2 | − | 80182.9i | −0.197675 | − | 0.577856i | ||||
\(115\) | −43445.3 | + | 25083.2i | −0.306336 | + | 0.176863i | ||||
\(116\) | 6381.37 | − | 413.469i | 0.0440321 | − | 0.00285297i | ||||
\(117\) | 73979.1 | + | 109420.i | 0.499625 | + | 0.738979i | ||||
\(118\) | −41154.2 | + | 43907.0i | −0.272088 | + | 0.290288i | ||||
\(119\) | 111974. | + | 193944.i | 0.724851 | + | 1.25548i | ||||
\(120\) | 99284.5 | + | 75930.4i | 0.629402 | + | 0.481351i | ||||
\(121\) | −163430. | + | 283069.i | −1.01477 | + | 1.75764i | ||||
\(122\) | 17944.1 | + | 59233.4i | 0.109150 | + | 0.360302i | ||||
\(123\) | 151942. | − | 5389.16i | 0.905553 | − | 0.0321187i | ||||
\(124\) | 4628.10 | + | 6937.65i | 0.0270301 | + | 0.0405190i | ||||
\(125\) | − | 189935.i | − | 1.08725i | ||||||
\(126\) | 25796.1 | − | 161344.i | 0.144753 | − | 0.905370i | ||||
\(127\) | 188373.i | 1.03636i | 0.855273 | + | 0.518178i | \(0.173389\pi\) | ||||
−0.855273 | + | 0.518178i | \(0.826611\pi\) | |||||||
\(128\) | 6549.41 | − | 185248.i | 0.0353327 | − | 0.999376i | ||||
\(129\) | −44774.7 | + | 84320.2i | −0.236896 | + | 0.446126i | ||||
\(130\) | 130346. | − | 39486.9i | 0.676456 | − | 0.204925i | ||||
\(131\) | 123193. | − | 213376.i | 0.627201 | − | 1.08634i | −0.360910 | − | 0.932601i | \(-0.617534\pi\) |
0.988111 | − | 0.153743i | \(-0.0491328\pi\) | |||||||
\(132\) | 203517. | + | 282823.i | 1.01664 | + | 1.41280i | ||||
\(133\) | 57115.8 | + | 98927.5i | 0.279980 | + | 0.484940i | ||||
\(134\) | −237178. | − | 222308.i | −1.14107 | − | 1.06953i | ||||
\(135\) | −67993.9 | + | 153394.i | −0.321096 | + | 0.724392i | ||||
\(136\) | −216656. | + | 263393.i | −1.00444 | + | 1.22112i | ||||
\(137\) | 88854.7 | − | 51300.3i | 0.404463 | − | 0.233517i | −0.283945 | − | 0.958841i | \(-0.591643\pi\) |
0.688408 | + | 0.725324i | \(0.258310\pi\) | |||||||
\(138\) | −19253.1 | + | 97997.4i | −0.0860602 | + | 0.438043i | ||||
\(139\) | 194249. | + | 112150.i | 0.852750 | + | 0.492335i | 0.861578 | − | 0.507626i | \(-0.169477\pi\) |
−0.00882796 | + | 0.999961i | \(0.502810\pi\) | |||||||
\(140\) | −151051. | − | 74630.7i | −0.651336 | − | 0.321808i | ||||
\(141\) | 16228.5 | + | 8617.44i | 0.0687432 | + | 0.0365032i | ||||
\(142\) | 390572. | + | 91222.4i | 1.62547 | + | 0.379647i | ||||
\(143\) | 379671. | 1.55263 | ||||||||
\(144\) | 243856. | − | 49511.6i | 0.980004 | − | 0.198976i | ||||
\(145\) | 8851.68 | 0.0349627 | ||||||||
\(146\) | 102194. | + | 23868.6i | 0.396775 | + | 0.0926713i | ||||
\(147\) | −1479.86 | − | 41722.9i | −0.00564841 | − | 0.159251i | ||||
\(148\) | −319507. | − | 157860.i | −1.19902 | − | 0.592404i | ||||
\(149\) | −27795.8 | − | 16047.9i | −0.102568 | − | 0.0592179i | 0.447838 | − | 0.894115i | \(-0.352194\pi\) |
−0.550407 | + | 0.834897i | \(0.685527\pi\) | |||||||
\(150\) | −77262.8 | − | 67436.4i | −0.280377 | − | 0.244718i | ||||
\(151\) | −65816.4 | + | 37999.1i | −0.234905 | + | 0.135622i | −0.612833 | − | 0.790213i | \(-0.709970\pi\) |
0.377928 | + | 0.925835i | \(0.376637\pi\) | |||||||
\(152\) | −110512. | + | 134352.i | −0.387973 | + | 0.471667i | ||||
\(153\) | −411710. | − | 200247.i | −1.42188 | − | 0.691572i | ||||
\(154\) | −342679. | − | 321194.i | −1.16436 | − | 1.09136i | ||||
\(155\) | 5771.93 | + | 9997.28i | 0.0192971 | + | 0.0334236i | ||||
\(156\) | 111411. | − | 247191.i | 0.366536 | − | 0.813245i | ||||
\(157\) | −255695. | + | 442876.i | −0.827890 | + | 1.43395i | 0.0717997 | + | 0.997419i | \(0.477126\pi\) |
−0.899690 | + | 0.436529i | \(0.856208\pi\) | |||||||
\(158\) | −80372.5 | + | 24348.0i | −0.256133 | + | 0.0775925i | ||||
\(159\) | −281691. | − | 450252.i | −0.883651 | − | 1.41242i | ||||
\(160\) | 25626.4 | − | 255299.i | 0.0791385 | − | 0.788406i | ||||
\(161\) | − | 134621.i | − | 0.409306i | ||||||
\(162\) | 141057. | + | 302787.i | 0.422286 | + | 0.906463i | ||||
\(163\) | − | 206451.i | − | 0.608623i | −0.952573 | − | 0.304311i | \(-0.901574\pi\) | ||
0.952573 | − | 0.304311i | \(-0.0984263\pi\) | |||||||
\(164\) | −173201. | − | 259633.i | −0.502852 | − | 0.753789i | ||||
\(165\) | 255809. | + | 408881.i | 0.731485 | + | 1.16920i | ||||
\(166\) | −3938.22 | − | 13000.1i | −0.0110925 | − | 0.0366163i | ||||
\(167\) | −160986. | + | 278836.i | −0.446681 | + | 0.773674i | −0.998168 | − | 0.0605096i | \(-0.980727\pi\) |
0.551487 | + | 0.834184i | \(0.314061\pi\) | |||||||
\(168\) | −309675. | + | 128855.i | −0.846511 | + | 0.352232i | ||||
\(169\) | 37924.7 | + | 65687.4i | 0.102142 | + | 0.176915i | ||||
\(170\) | −322843. | + | 344438.i | −0.856779 | + | 0.914089i | ||||
\(171\) | −210006. | − | 102142.i | −0.549214 | − | 0.267126i | ||||
\(172\) | 195572. | − | 12671.7i | 0.504065 | − | 0.0326599i | ||||
\(173\) | 474593. | − | 274007.i | 1.20561 | − | 0.696058i | 0.243812 | − | 0.969823i | \(-0.421602\pi\) |
0.961797 | + | 0.273764i | \(0.0882688\pi\) | |||||||
\(174\) | 11587.7 | − | 13276.1i | 0.0290150 | − | 0.0332429i | ||||
\(175\) | 119717. | + | 69118.5i | 0.295502 | + | 0.170608i | ||||
\(176\) | 274709. | − | 660414.i | 0.668485 | − | 1.60707i | ||||
\(177\) | 5878.18 | + | 165729.i | 0.0141030 | + | 0.397618i | ||||
\(178\) | 37027.4 | − | 158534.i | 0.0875937 | − | 0.375035i | ||||
\(179\) | 169767. | 0.396024 | 0.198012 | − | 0.980200i | \(-0.436551\pi\) | ||||
0.198012 | + | 0.980200i | \(0.436551\pi\) | |||||||
\(180\) | 341273. | − | 46565.9i | 0.785093 | − | 0.107124i | ||||
\(181\) | 652433. | 1.48027 | 0.740133 | − | 0.672461i | \(-0.234763\pi\) | ||||
0.740133 | + | 0.672461i | \(0.234763\pi\) | |||||||
\(182\) | −83125.0 | + | 355902.i | −0.186017 | + | 0.796439i | ||||
\(183\) | 150634. | + | 79987.6i | 0.332502 | + | 0.176561i | ||||
\(184\) | 191955. | − | 72001.4i | 0.417980 | − | 0.156782i | ||||
\(185\) | −427210. | − | 246650.i | −0.917724 | − | 0.529848i | ||||
\(186\) | 22550.4 | + | 4430.36i | 0.0477938 | + | 0.00938981i | ||||
\(187\) | −1.13971e6 | + | 658012.i | −2.38337 | + | 1.37604i | ||||
\(188\) | −2438.83 | − | 37640.3i | −0.00503254 | − | 0.0776710i | ||||
\(189\) | −265253. | − | 363832.i | −0.540139 | − | 0.740877i | ||||
\(190\) | −164676. | + | 175692.i | −0.330938 | + | 0.353075i | ||||
\(191\) | −130899. | − | 226724.i | −0.259629 | − | 0.449690i | 0.706514 | − | 0.707699i | \(-0.250267\pi\) |
−0.966143 | + | 0.258009i | \(0.916934\pi\) | |||||||
\(192\) | −349362. | − | 372646.i | −0.683948 | − | 0.729531i | ||||
\(193\) | 456035. | − | 789876.i | 0.881262 | − | 1.52639i | 0.0313238 | − | 0.999509i | \(-0.490028\pi\) |
0.849939 | − | 0.526882i | \(-0.176639\pi\) | |||||||
\(194\) | 258273. | + | 852557.i | 0.492690 | + | 1.62637i | ||||
\(195\) | 176017. | − | 331477.i | 0.331488 | − | 0.624262i | ||||
\(196\) | −71294.8 | + | 47560.6i | −0.132562 | + | 0.0884316i | ||||
\(197\) | 141457.i | 0.259693i | 0.991534 | + | 0.129846i | \(0.0414484\pi\) | ||||
−0.991534 | + | 0.129846i | \(0.958552\pi\) | |||||||
\(198\) | 948136. | + | 151590.i | 1.71873 | + | 0.274795i | ||||
\(199\) | − | 568072.i | − | 1.01688i | −0.861097 | − | 0.508441i | \(-0.830222\pi\) | ||
0.861097 | − | 0.508441i | \(-0.169778\pi\) | |||||||
\(200\) | −34525.8 | + | 207671.i | −0.0610336 | + | 0.367114i | ||||
\(201\) | −895240. | + | 31752.9i | −1.56297 | + | 0.0554362i | ||||
\(202\) | 300207. | − | 90944.3i | 0.517657 | − | 0.156818i | ||||
\(203\) | −11876.7 | + | 20571.1i | −0.0202281 | + | 0.0350362i | ||||
\(204\) | 93972.2 | + | 935115.i | 0.158097 | + | 1.57322i | ||||
\(205\) | −216007. | − | 374136.i | −0.358991 | − | 0.621791i | ||||
\(206\) | 475255. | + | 445458.i | 0.780294 | + | 0.731373i | ||||
\(207\) | 154146. | + | 227992.i | 0.250038 | + | 0.369823i | ||||
\(208\) | −551939. | + | 71825.2i | −0.884571 | + | 0.115111i | ||||
\(209\) | −581346. | + | 335640.i | −0.920596 | + | 0.531506i | ||||
\(210\) | −439290. | + | 150274.i | −0.687391 | + | 0.235145i | ||||
\(211\) | 395205. | + | 228172.i | 0.611106 | + | 0.352822i | 0.773398 | − | 0.633920i | \(-0.218555\pi\) |
−0.162292 | + | 0.986743i | \(0.551889\pi\) | |||||||
\(212\) | −482941. | + | 977465.i | −0.737996 | + | 1.49369i | ||||
\(213\) | 936989. | − | 586209.i | 1.41509 | − | 0.885326i | ||||
\(214\) | 894770. | + | 208983.i | 1.33560 | + | 0.311945i | ||||
\(215\) | 271281. | 0.400242 | ||||||||
\(216\) | 376917. | − | 572816.i | 0.549681 | − | 0.835374i | ||||
\(217\) | −30977.9 | −0.0446584 | ||||||||
\(218\) | −960930. | − | 224436.i | −1.36946 | − | 0.319854i | ||||
\(219\) | 245166. | − | 153383.i | 0.345422 | − | 0.216107i | ||||
\(220\) | 438566. | − | 887652.i | 0.610912 | − | 1.23648i | ||||
\(221\) | 886874. | + | 512037.i | 1.22147 | + | 0.705213i | ||||
\(222\) | −929194. | + | 317862.i | −1.26539 | + | 0.432868i | ||||
\(223\) | 105529. | − | 60927.0i | 0.142105 | − | 0.0820441i | −0.427262 | − | 0.904128i | \(-0.640522\pi\) |
0.569367 | + | 0.822084i | \(0.307188\pi\) | |||||||
\(224\) | 558925. | + | 402102.i | 0.744275 | + | 0.535447i | ||||
\(225\) | −281894. | + | 20022.0i | −0.371218 | + | 0.0263664i | ||||
\(226\) | 377073. | + | 353432.i | 0.491082 | + | 0.460293i | ||||
\(227\) | 63879.8 | + | 110643.i | 0.0822809 | + | 0.142515i | 0.904229 | − | 0.427047i | \(-0.140446\pi\) |
−0.821948 | + | 0.569562i | \(0.807113\pi\) | |||||||
\(228\) | 47933.5 | + | 476986.i | 0.0610664 | + | 0.607670i | ||||
\(229\) | −194394. | + | 336700.i | −0.244959 | + | 0.424282i | −0.962120 | − | 0.272626i | \(-0.912108\pi\) |
0.717161 | + | 0.696908i | \(0.245441\pi\) | |||||||
\(230\) | 271595. | − | 82276.5i | 0.338533 | − | 0.102555i | ||||
\(231\) | −1.29346e6 | + | 45877.2i | −1.59486 | + | 0.0565675i | ||||
\(232\) | −35684.4 | − | 5932.61i | −0.0435269 | − | 0.00723645i | ||||
\(233\) | 147353.i | 0.177815i | 0.996040 | + | 0.0889077i | \(0.0283376\pi\) | ||||
−0.996040 | + | 0.0889077i | \(0.971662\pi\) | |||||||
\(234\) | −266742. | − | 697932.i | −0.318458 | − | 0.833247i | ||||
\(235\) | − | 52211.3i | − | 0.0616730i | ||||||
\(236\) | 283193. | − | 188917.i | 0.330980 | − | 0.220796i | ||||
\(237\) | −108534. | + | 204392.i | −0.125514 | + | 0.236370i | ||||
\(238\) | −367291. | − | 1.21243e6i | −0.420308 | − | 1.38744i | ||||
\(239\) | −186495. | + | 323018.i | −0.211189 | + | 0.365790i | −0.952087 | − | 0.305827i | \(-0.901067\pi\) |
0.740898 | + | 0.671618i | \(0.234400\pi\) | |||||||
\(240\) | −449227. | − | 546009.i | −0.503429 | − | 0.611888i | ||||
\(241\) | −292951. | − | 507405.i | −0.324902 | − | 0.562746i | 0.656591 | − | 0.754247i | \(-0.271998\pi\) |
−0.981492 | + | 0.191501i | \(0.938665\pi\) | |||||||
\(242\) | 1.26447e6 | − | 1.34905e6i | 1.38793 | − | 1.48077i | ||||
\(243\) | 865829. | + | 312456.i | 0.940625 | + | 0.339448i | ||||
\(244\) | −22637.4 | − | 349380.i | −0.0243418 | − | 0.375684i | ||||
\(245\) | −102737. | + | 59315.3i | −0.109348 | + | 0.0631323i | ||||
\(246\) | −843919. | − | 165801.i | −0.889125 | − | 0.174682i | ||||
\(247\) | 452379. | + | 261181.i | 0.471802 | + | 0.272395i | ||||
\(248\) | −16568.4 | − | 44171.2i | −0.0171061 | − | 0.0456048i | ||||
\(249\) | −33059.8 | − | 17555.0i | −0.0337911 | − | 0.0179433i | ||||
\(250\) | −244369. | + | 1.04627e6i | −0.247284 | + | 1.05876i | ||||
\(251\) | −713349. | −0.714691 | −0.357345 | − | 0.933972i | \(-0.616318\pi\) | ||||
−0.357345 | + | 0.933972i | \(0.616318\pi\) | |||||||
\(252\) | −349685. | + | 855590.i | −0.346877 | + | 0.848720i | ||||
\(253\) | 791098. | 0.777015 | ||||||||
\(254\) | 242359. | − | 1.03767e6i | 0.235709 | − | 1.00919i | ||||
\(255\) | 46112.6 | + | 1.30010e6i | 0.0444089 | + | 1.25206i | ||||
\(256\) | −274417. | + | 1.01203e6i | −0.261705 | + | 0.965148i | ||||
\(257\) | 487256. | + | 281317.i | 0.460176 | + | 0.265683i | 0.712118 | − | 0.702059i | \(-0.247736\pi\) |
−0.251942 | + | 0.967742i | \(0.581069\pi\) | |||||||
\(258\) | 355132. | − | 406879.i | 0.332155 | − | 0.380554i | ||||
\(259\) | 1.14642e6 | − | 661883.i | 1.06192 | − | 0.613101i | ||||
\(260\) | −768828. | + | 49814.8i | −0.705336 | + | 0.0457009i | ||||
\(261\) | −3440.39 | − | 48438.1i | −0.00312613 | − | 0.0440135i | ||||
\(262\) | −953148. | + | 1.01690e6i | −0.857841 | + | 0.915222i | ||||
\(263\) | −833666. | − | 1.44395e6i | −0.743195 | − | 1.28725i | −0.951033 | − | 0.309088i | \(-0.899976\pi\) |
0.207838 | − | 0.978163i | \(-0.433357\pi\) | |||||||
\(264\) | −757217. | − | 1.81980e6i | −0.668668 | − | 1.60699i | ||||
\(265\) | −754575. | + | 1.30696e6i | −0.660067 | + | 1.14327i | ||||
\(266\) | −187349. | − | 618437.i | −0.162348 | − | 0.535909i | ||||
\(267\) | −237943. | − | 380326.i | −0.204266 | − | 0.326496i | ||||
\(268\) | 1.02050e6 | + | 1.52976e6i | 0.867911 | + | 1.30102i | ||||
\(269\) | 909140.i | 0.766038i | 0.923740 | + | 0.383019i | \(0.125116\pi\) | ||||
−0.923740 | + | 0.383019i | \(0.874884\pi\) | |||||||
\(270\) | 571907. | − | 757505.i | 0.477437 | − | 0.632377i | ||||
\(271\) | − | 1.38725e6i | − | 1.14744i | −0.819050 | − | 0.573722i | \(-0.805499\pi\) | ||
0.819050 | − | 0.573722i | \(-0.194501\pi\) | |||||||
\(272\) | 1.53235e6 | − | 1.17218e6i | 1.25584 | − | 0.960664i | ||||
\(273\) | 534174. | + | 853817.i | 0.433787 | + | 0.693359i | ||||
\(274\) | −555467. | + | 168273.i | −0.446974 | + | 0.135406i | ||||
\(275\) | −406174. | + | 703514.i | −0.323877 | + | 0.560972i | ||||
\(276\) | 232140. | − | 515058.i | 0.183433 | − | 0.406989i | ||||
\(277\) | −540237. | − | 935718.i | −0.423044 | − | 0.732733i | 0.573192 | − | 0.819421i | \(-0.305705\pi\) |
−0.996235 | + | 0.0866882i | \(0.972372\pi\) | |||||||
\(278\) | −925748. | − | 867707.i | −0.718424 | − | 0.673382i | ||||
\(279\) | 52463.7 | − | 35470.8i | 0.0403505 | − | 0.0272810i | ||||
\(280\) | 736063. | + | 605453.i | 0.561073 | + | 0.461514i | ||||
\(281\) | −340589. | + | 196639.i | −0.257315 | + | 0.148561i | −0.623109 | − | 0.782135i | \(-0.714131\pi\) |
0.365794 | + | 0.930696i | \(0.380797\pi\) | |||||||
\(282\) | −78308.9 | − | 68349.5i | −0.0586393 | − | 0.0511814i | ||||
\(283\) | 248928. | + | 143719.i | 0.184760 | + | 0.106671i | 0.589527 | − | 0.807749i | \(-0.299314\pi\) |
−0.404767 | + | 0.914420i | \(0.632647\pi\) | |||||||
\(284\) | −2.03414e6 | − | 1.00501e6i | −1.49653 | − | 0.739395i | ||||
\(285\) | 23521.2 | + | 663156.i | 0.0171533 | + | 0.483619i | ||||
\(286\) | −2.09146e6 | − | 488483.i | −1.51194 | − | 0.353130i | ||||
\(287\) | 1.15931e6 | 0.830796 | ||||||||
\(288\) | −1.40701e6 | − | 41005.1i | −0.999576 | − | 0.0291311i | ||||
\(289\) | −2.12981e6 | −1.50002 | ||||||||
\(290\) | −48760.3 | − | 11388.5i | −0.0340464 | − | 0.00795193i | ||||
\(291\) | 2.16810e6 | + | 1.15128e6i | 1.50088 | + | 0.796980i | ||||
\(292\) | −532238. | − | 262965.i | −0.365299 | − | 0.180485i | ||||
\(293\) | −1.55571e6 | − | 898188.i | −1.05867 | − | 0.611221i | −0.133603 | − | 0.991035i | \(-0.542655\pi\) |
−0.925063 | + | 0.379814i | \(0.875988\pi\) | |||||||
\(294\) | −45528.6 | + | 231739.i | −0.0307196 | + | 0.156362i | ||||
\(295\) | 408086. | − | 235608.i | 0.273021 | − | 0.157629i | ||||
\(296\) | 1.55693e6 | + | 1.28066e6i | 1.03286 | + | 0.849583i | ||||
\(297\) | 2.13805e6 | − | 1.55876e6i | 1.40646 | − | 1.02538i | ||||
\(298\) | 132469. | + | 124164.i | 0.0864118 | + | 0.0809941i | ||||
\(299\) | −307799. | − | 533124.i | −0.199108 | − | 0.344866i | ||||
\(300\) | 338846. | + | 470886.i | 0.217370 | + | 0.302073i | ||||
\(301\) | −363990. | + | 630450.i | −0.231565 | + | 0.401083i | ||||
\(302\) | 411446. | − | 124643.i | 0.259594 | − | 0.0786412i | ||||
\(303\) | 405393. | − | 763442.i | 0.253671 | − | 0.477715i | ||||
\(304\) | 781624. | − | 597907.i | 0.485081 | − | 0.371065i | ||||
\(305\) | − | 484629.i | − | 0.298304i | ||||||
\(306\) | 2.01031e6 | + | 1.63279e6i | 1.22732 | + | 0.996840i | ||||
\(307\) | 1.13601e6i | 0.687918i | 0.938985 | + | 0.343959i | \(0.111768\pi\) | ||||
−0.938985 | + | 0.343959i | \(0.888232\pi\) | |||||||
\(308\) | 1.47444e6 | + | 2.21022e6i | 0.885623 | + | 1.32757i | ||||
\(309\) | 1.79387e6 | − | 63626.2i | 1.06880 | − | 0.0379088i | ||||
\(310\) | −18932.8 | − | 62497.2i | −0.0111895 | − | 0.0369365i | ||||
\(311\) | −176499. | + | 305706.i | −0.103477 | + | 0.179227i | −0.913115 | − | 0.407703i | \(-0.866330\pi\) |
0.809638 | + | 0.586929i | \(0.199663\pi\) | |||||||
\(312\) | −931753. | + | 1.21834e6i | −0.541894 | + | 0.708566i | ||||
\(313\) | 68385.0 | + | 118446.i | 0.0394548 | + | 0.0683377i | 0.885078 | − | 0.465442i | \(-0.154105\pi\) |
−0.845624 | + | 0.533780i | \(0.820771\pi\) | |||||||
\(314\) | 1.97832e6 | − | 2.11065e6i | 1.13233 | − | 1.20807i | ||||
\(315\) | −559599. | + | 1.15054e6i | −0.317761 | + | 0.653320i | ||||
\(316\) | 474066. | − | 30716.2i | 0.267068 | − | 0.0173041i | ||||
\(317\) | −609932. | + | 352144.i | −0.340905 | + | 0.196822i | −0.660672 | − | 0.750675i | \(-0.729729\pi\) |
0.319767 | + | 0.947496i | \(0.396395\pi\) | |||||||
\(318\) | 972433. | + | 2.84268e6i | 0.539252 | + | 1.57638i | ||||
\(319\) | −120886. | − | 69793.3i | −0.0665117 | − | 0.0384005i | ||||
\(320\) | −469633. | + | 1.37337e6i | −0.256380 | + | 0.749744i | ||||
\(321\) | 2.14657e6 | − | 1.34296e6i | 1.16274 | − | 0.727445i | ||||
\(322\) | −173203. | + | 741573.i | −0.0930926 | + | 0.398579i | ||||
\(323\) | −1.81062e6 | −0.965654 | ||||||||
\(324\) | −387461. | − | 1.84942e6i | −0.205053 | − | 0.978751i | ||||
\(325\) | 632134. | 0.331972 | ||||||||
\(326\) | −265619. | + | 1.13726e6i | −0.138425 | + | 0.592672i | ||||
\(327\) | −2.30529e6 | + | 1.44226e6i | −1.19222 | + | 0.745889i | ||||
\(328\) | 620051. | + | 1.65305e6i | 0.318231 | + | 0.848403i | ||||
\(329\) | 121338. | + | 70054.4i | 0.0618025 | + | 0.0356817i | ||||
\(330\) | −883082. | − | 2.58149e6i | −0.446392 | − | 1.30492i | ||||
\(331\) | −1.21122e6 | + | 699299.i | −0.607650 | + | 0.350827i | −0.772045 | − | 0.635567i | \(-0.780766\pi\) |
0.164395 | + | 0.986395i | \(0.447433\pi\) | |||||||
\(332\) | 4968.27 | + | 76679.0i | 0.00247377 | + | 0.0381796i | ||||
\(333\) | −1.18367e6 | + | 2.43364e6i | −0.584953 | + | 1.20267i | ||||
\(334\) | 1.24556e6 | − | 1.32887e6i | 0.610939 | − | 0.651805i | ||||
\(335\) | 1.27272e6 | + | 2.20441e6i | 0.619611 | + | 1.07320i | ||||
\(336\) | 1.87166e6 | − | 311386.i | 0.904438 | − | 0.150470i | ||||
\(337\) | 565468. | − | 979419.i | 0.271227 | − | 0.469779i | −0.697949 | − | 0.716147i | \(-0.745904\pi\) |
0.969176 | + | 0.246368i | \(0.0792372\pi\) | |||||||
\(338\) | −124399. | − | 410640.i | −0.0592276 | − | 0.195510i | ||||
\(339\) | 1.42328e6 | − | 50481.8i | 0.672653 | − | 0.0238581i | ||||
\(340\) | 2.22156e6 | − | 1.48200e6i | 1.04222 | − | 0.695266i | ||||
\(341\) | − | 182041.i | − | 0.0847781i | ||||||
\(342\) | 1.02542e6 | + | 832855.i | 0.474065 | + | 0.385038i | ||||
\(343\) | − | 2.31610e6i | − | 1.06297i | ||||||
\(344\) | −1.09363e6 | − | 181819.i | −0.498283 | − | 0.0828406i | ||||
\(345\) | 366756. | − | 690679.i | 0.165894 | − | 0.312413i | ||||
\(346\) | −2.96688e6 | + | 898783.i | −1.33232 | + | 0.403612i | ||||
\(347\) | 669599. | − | 1.15978e6i | 0.298532 | − | 0.517073i | −0.677268 | − | 0.735736i | \(-0.736836\pi\) |
0.975800 | + | 0.218663i | \(0.0701697\pi\) | |||||||
\(348\) | −80912.8 | + | 58224.3i | −0.0358154 | + | 0.0257725i | ||||
\(349\) | −997138. | − | 1.72709e6i | −0.438220 | − | 0.759019i | 0.559333 | − | 0.828943i | \(-0.311057\pi\) |
−0.997552 | + | 0.0699247i | \(0.977724\pi\) | |||||||
\(350\) | −570544. | − | 534773.i | −0.248954 | − | 0.233346i | ||||
\(351\) | −1.88232e6 | − | 834364.i | −0.815503 | − | 0.361483i | ||||
\(352\) | −2.36295e6 | + | 3.28452e6i | −1.01648 | + | 1.41291i | ||||
\(353\) | 1.57369e6 | − | 908571.i | 0.672175 | − | 0.388081i | −0.124725 | − | 0.992191i | \(-0.539805\pi\) |
0.796900 | + | 0.604111i | \(0.206472\pi\) | |||||||
\(354\) | 180846. | − | 920498.i | 0.0767009 | − | 0.390405i | ||||
\(355\) | −2.71983e6 | − | 1.57029e6i | −1.14544 | − | 0.661318i | ||||
\(356\) | −407938. | + | 825661.i | −0.170596 | + | 0.345284i | ||||
\(357\) | −3.08326e6 | − | 1.63724e6i | −1.28038 | − | 0.679894i | ||||
\(358\) | −935180. | − | 218422.i | −0.385645 | − | 0.0900717i | ||||
\(359\) | −1.16638e6 | −0.477644 | −0.238822 | − | 0.971063i | \(-0.576761\pi\) | ||||
−0.238822 | + | 0.971063i | \(0.576761\pi\) | |||||||
\(360\) | −1.93985e6 | − | 182568.i | −0.788882 | − | 0.0742450i | ||||
\(361\) | 1.55253e6 | 0.627008 | ||||||||
\(362\) | −3.59399e6 | − | 839418.i | −1.44147 | − | 0.336672i | ||||
\(363\) | −180608. | − | 5.09204e6i | −0.0719399 | − | 2.02827i | ||||
\(364\) | 915805. | − | 1.85358e6i | 0.362284 | − | 0.733258i | ||||
\(365\) | −711652. | − | 410873.i | −0.279599 | − | 0.161427i | ||||
\(366\) | −726869. | − | 634424.i | −0.283631 | − | 0.247558i | ||||
\(367\) | 1.42589e6 | − | 823237.i | 0.552612 | − | 0.319051i | −0.197563 | − | 0.980290i | \(-0.563303\pi\) |
0.750175 | + | 0.661240i | \(0.229969\pi\) | |||||||
\(368\) | −1.15004e6 | + | 149658.i | −0.442684 | + | 0.0576076i | ||||
\(369\) | −1.96339e6 | + | 1.32745e6i | −0.750655 | + | 0.507519i | ||||
\(370\) | 2.03599e6 | + | 1.90834e6i | 0.773164 | + | 0.724689i | ||||
\(371\) | −2.02490e6 | − | 3.50723e6i | −0.763780 | − | 1.32291i | ||||
\(372\) | −118521. | − | 53418.3i | −0.0444056 | − | 0.0200139i | ||||
\(373\) | 973750. | − | 1.68658e6i | 0.362389 | − | 0.627677i | −0.625964 | − | 0.779852i | \(-0.715294\pi\) |
0.988354 | + | 0.152175i | \(0.0486278\pi\) | |||||||
\(374\) | 7.12481e6 | − | 2.15838e6i | 2.63387 | − | 0.797901i | ||||
\(375\) | 1.57035e6 | + | 2.51003e6i | 0.576659 | + | 0.921725i | ||||
\(376\) | −34993.3 | + | 210483.i | −0.0127648 | + | 0.0767800i | ||||
\(377\) | 108620.i | 0.0393602i | ||||||||
\(378\) | 993068. | + | 2.34548e6i | 0.357478 | + | 0.844310i | ||||
\(379\) | 4.71999e6i | 1.68789i | 0.536432 | + | 0.843943i | \(0.319772\pi\) | ||||
−0.536432 | + | 0.843943i | \(0.680228\pi\) | |||||||
\(380\) | 1.13318e6 | − | 755942.i | 0.402569 | − | 0.268553i | ||||
\(381\) | −1.55744e6 | − | 2.48939e6i | −0.549666 | − | 0.878579i | ||||
\(382\) | 429369. | + | 1.41734e6i | 0.150547 | + | 0.496955i | ||||
\(383\) | −252323. | + | 437037.i | −0.0878943 | + | 0.152237i | −0.906621 | − | 0.421946i | \(-0.861347\pi\) |
0.818727 | + | 0.574184i | \(0.194680\pi\) | |||||||
\(384\) | 1.44505e6 | + | 2.50225e6i | 0.500098 | + | 0.865969i | ||||
\(385\) | 1.83884e6 | + | 3.18497e6i | 0.632256 | + | 1.09510i | ||||
\(386\) | −3.52837e6 | + | 3.76438e6i | −1.20533 | + | 1.28595i | ||||
\(387\) | −105439. | − | 1.48450e6i | −0.0357869 | − | 0.503853i | ||||
\(388\) | −325824. | − | 5.02869e6i | −0.109876 | − | 1.69580i | ||||
\(389\) | 1.60551e6 | − | 926943.i | 0.537947 | − | 0.310584i | −0.206299 | − | 0.978489i | \(-0.566142\pi\) |
0.744247 | + | 0.667905i | \(0.232809\pi\) | |||||||
\(390\) | −1.39608e6 | + | 1.59951e6i | −0.464783 | + | 0.532508i | ||||
\(391\) | 1.84793e6 | + | 1.06690e6i | 0.611284 | + | 0.352925i | ||||
\(392\) | 453926. | − | 170265.i | 0.149200 | − | 0.0559642i | ||||
\(393\) | 136141. | + | 3.83835e6i | 0.0444639 | + | 1.25361i | ||||
\(394\) | 181998. | − | 779232.i | 0.0590645 | − | 0.252887i | ||||
\(395\) | 657583. | 0.212059 | ||||||||
\(396\) | −5.02787e6 | − | 2.05492e6i | −1.61119 | − | 0.658501i | ||||
\(397\) | −2.32765e6 | −0.741209 | −0.370605 | − | 0.928791i | \(-0.620850\pi\) | ||||
−0.370605 | + | 0.928791i | \(0.620850\pi\) | |||||||
\(398\) | −730879. | + | 3.12928e6i | −0.231280 | + | 0.990233i | ||||
\(399\) | −1.57272e6 | − | 835125.i | −0.494559 | − | 0.262615i | ||||
\(400\) | 457378. | − | 1.09956e6i | 0.142931 | − | 0.343612i | ||||
\(401\) | 3.17463e6 | + | 1.83287e6i | 0.985897 | + | 0.569208i | 0.904045 | − | 0.427436i | \(-0.140583\pi\) |
0.0818519 | + | 0.996645i | \(0.473917\pi\) | |||||||
\(402\) | 4.97237e6 | + | 976898.i | 1.53461 | + | 0.301498i | ||||
\(403\) | −122678. | + | 70828.3i | −0.0376275 | + | 0.0217242i | ||||
\(404\) | −1.77073e6 | + | 114731.i | −0.539757 | + | 0.0349725i | ||||
\(405\) | −369683. | − | 2.58930e6i | −0.111993 | − | 0.784413i | ||||
\(406\) | 91890.7 | − | 98037.2i | 0.0276666 | − | 0.0295173i | ||||
\(407\) | 3.88955e6 | + | 6.73690e6i | 1.16389 | + | 2.01592i | ||||
\(408\) | 685459. | − | 5.27208e6i | 0.203860 | − | 1.56795i | ||||
\(409\) | 699640. | − | 1.21181e6i | 0.206807 | − | 0.358201i | −0.743900 | − | 0.668291i | \(-0.767026\pi\) |
0.950707 | + | 0.310090i | \(0.100359\pi\) | |||||||
\(410\) | 708536. | + | 2.33888e6i | 0.208163 | + | 0.687144i | ||||
\(411\) | −750092. | + | 1.41258e6i | −0.219033 | + | 0.412486i | ||||
\(412\) | −2.04486e6 | − | 3.06531e6i | −0.593501 | − | 0.889675i | ||||
\(413\) | 1.26451e6i | 0.364793i | ||||||||
\(414\) | −555794. | − | 1.45424e6i | −0.159372 | − | 0.416999i | ||||
\(415\) | 106362.i | 0.0303157i | ||||||||
\(416\) | 3.13282e6 | + | 314466.i | 0.887569 | + | 0.0890922i | ||||
\(417\) | −3.49428e6 | + | 123937.i | −0.984052 | + | 0.0349030i | ||||
\(418\) | 3.63424e6 | − | 1.10095e6i | 1.01736 | − | 0.308196i | ||||
\(419\) | 1.83298e6 | − | 3.17481e6i | 0.510061 | − | 0.883452i | −0.489871 | − | 0.871795i | \(-0.662956\pi\) |
0.999932 | − | 0.0116570i | \(-0.00371063\pi\) | |||||||
\(420\) | 2.61322e6 | − | 262609.i | 0.722857 | − | 0.0726418i | ||||
\(421\) | 2.68932e6 | + | 4.65804e6i | 0.739498 | + | 1.28085i | 0.952722 | + | 0.303845i | \(0.0982704\pi\) |
−0.213224 | + | 0.977003i | \(0.568396\pi\) | |||||||
\(422\) | −1.88346e6 | − | 1.76538e6i | −0.514844 | − | 0.482566i | ||||
\(423\) | −285711. | + | 20293.1i | −0.0776382 | + | 0.00551438i | ||||
\(424\) | 3.91793e6 | − | 4.76312e6i | 1.05838 | − | 1.28670i | ||||
\(425\) | −1.89756e6 | + | 1.09556e6i | −0.509594 | + | 0.294214i | ||||
\(426\) | −5.91571e6 | + | 2.02366e6i | −1.57937 | + | 0.540274i | ||||
\(427\) | 1.12627e6 | + | 650249.i | 0.298931 | + | 0.172588i | ||||
\(428\) | −4.66005e6 | − | 2.30241e6i | −1.22965 | − | 0.607538i | ||||
\(429\) | −5.01745e6 | + | 3.13907e6i | −1.31625 | + | 0.823488i | ||||
\(430\) | −1.49438e6 | − | 349029.i | −0.389753 | − | 0.0910312i | ||||
\(431\) | 7.43683e6 | 1.92839 | 0.964194 | − | 0.265198i | \(-0.0854372\pi\) | ||||
0.964194 | + | 0.265198i | \(0.0854372\pi\) | |||||||
\(432\) | −2.81327e6 | + | 2.67048e6i | −0.725273 | + | 0.688461i | ||||
\(433\) | 4.75454e6 | 1.21868 | 0.609339 | − | 0.792910i | \(-0.291435\pi\) | ||||
0.609339 | + | 0.792910i | \(0.291435\pi\) | |||||||
\(434\) | 170645. | + | 39856.0i | 0.0434879 | + | 0.0101571i | ||||
\(435\) | −116977. | + | 73184.4i | −0.0296399 | + | 0.0185437i | ||||
\(436\) | 5.00462e6 | + | 2.47266e6i | 1.26083 | + | 0.622942i | ||||
\(437\) | 942594. | + | 544207.i | 0.236114 | + | 0.136320i | ||||
\(438\) | −1.54786e6 | + | 529498.i | −0.385521 | + | 0.131880i | ||||
\(439\) | −1.50776e6 | + | 870508.i | −0.373398 | + | 0.215582i | −0.674942 | − | 0.737871i | \(-0.735831\pi\) |
0.301544 | + | 0.953452i | \(0.402498\pi\) | |||||||
\(440\) | −3.55794e6 | + | 4.32546e6i | −0.876126 | + | 1.06513i | ||||
\(441\) | 364516. | + | 539144.i | 0.0892524 | + | 0.132010i | ||||
\(442\) | −4.22665e6 | − | 3.96165e6i | −1.02906 | − | 0.964541i | ||||
\(443\) | 412027. | + | 713652.i | 0.0997509 | + | 0.172774i | 0.911582 | − | 0.411119i | \(-0.134862\pi\) |
−0.811831 | + | 0.583893i | \(0.801529\pi\) | |||||||
\(444\) | 5.52752e6 | − | 555475.i | 1.33068 | − | 0.133723i | ||||
\(445\) | −637386. | + | 1.10399e6i | −0.152582 | + | 0.264279i | ||||
\(446\) | −659703. | + | 199850.i | −0.157040 | + | 0.0475736i | ||||
\(447\) | 500010. | − | 17734.7i | 0.118361 | − | 0.00419812i | ||||
\(448\) | −2.56155e6 | − | 2.93413e6i | −0.602987 | − | 0.690692i | ||||
\(449\) | − | 3.08674e6i | − | 0.722577i | −0.932454 | − | 0.361289i | \(-0.882337\pi\) | ||
0.932454 | − | 0.361289i | \(-0.117663\pi\) | |||||||
\(450\) | 1.57860e6 | + | 252390.i | 0.367486 | + | 0.0587545i | ||||
\(451\) | 6.81266e6i | 1.57716i | ||||||||
\(452\) | −1.62242e6 | − | 2.43206e6i | −0.373523 | − | 0.559922i | ||||
\(453\) | 555609. | − | 1.04633e6i | 0.127211 | − | 0.239565i | ||||
\(454\) | −209535. | − | 691676.i | −0.0477109 | − | 0.157494i | ||||
\(455\) | 1.43091e6 | − | 2.47840e6i | 0.324028 | − | 0.561234i | ||||
\(456\) | 349641. | − | 2.68919e6i | 0.0787426 | − | 0.605634i | ||||
\(457\) | 1.12118e6 | + | 1.94195e6i | 0.251123 | + | 0.434958i | 0.963835 | − | 0.266499i | \(-0.0858668\pi\) |
−0.712712 | + | 0.701456i | \(0.752534\pi\) | |||||||
\(458\) | 1.50404e6 | − | 1.60464e6i | 0.335038 | − | 0.357449i | ||||
\(459\) | 7.09647e6 | − | 757648.i | 1.57221 | − | 0.167856i | ||||
\(460\) | −1.60196e6 | + | 103796.i | −0.352986 | + | 0.0228711i | ||||
\(461\) | −3.91078e6 | + | 2.25789e6i | −0.857059 | + | 0.494823i | −0.863026 | − | 0.505159i | \(-0.831434\pi\) |
0.00596751 | + | 0.999982i | \(0.498100\pi\) | |||||||
\(462\) | 7.18418e6 | + | 1.41144e6i | 1.56593 | + | 0.307650i | ||||
\(463\) | −7.40455e6 | − | 4.27502e6i | −1.60526 | − | 0.926799i | −0.990410 | − | 0.138157i | \(-0.955882\pi\) |
−0.614853 | − | 0.788642i | \(-0.710784\pi\) | |||||||
\(464\) | 188938. | + | 78591.7i | 0.0407403 | + | 0.0169466i | ||||
\(465\) | −158934. | − | 84395.0i | −0.0340866 | − | 0.0181002i | ||||
\(466\) | 189584. | − | 811709.i | 0.0404423 | − | 0.173155i | ||||
\(467\) | −7.67458e6 | −1.62841 | −0.814203 | − | 0.580581i | \(-0.802826\pi\) | ||||
−0.814203 | + | 0.580581i | \(0.802826\pi\) | |||||||
\(468\) | 571418. | + | 4.18782e6i | 0.120598 | + | 0.883839i | ||||
\(469\) | −6.83065e6 | −1.43394 | ||||||||
\(470\) | −67174.9 | + | 287611.i | −0.0140269 | + | 0.0600567i | ||||
\(471\) | −282570. | − | 7.96677e6i | −0.0586913 | − | 1.65474i | ||||
\(472\) | −1.80305e6 | + | 676315.i | −0.372524 | + | 0.139732i | ||||
\(473\) | −3.70483e6 | − | 2.13898e6i | −0.761404 | − | 0.439597i | ||||
\(474\) | 860837. | − | 986273.i | 0.175985 | − | 0.201628i | ||||
\(475\) | −967913. | + | 558825.i | −0.196835 | + | 0.113643i | ||||
\(476\) | 463357. | + | 7.15133e6i | 0.0937342 | + | 1.44667i | ||||
\(477\) | 7.44524e6 | + | 3.62121e6i | 1.49824 | + | 0.728714i | ||||
\(478\) | 1.44292e6 | − | 1.53943e6i | 0.288850 | − | 0.308171i | ||||
\(479\) | 2.80988e6 | + | 4.86685e6i | 0.559562 | + | 0.969191i | 0.997533 | + | 0.0702012i | \(0.0223641\pi\) |
−0.437970 | + | 0.898989i | \(0.644303\pi\) | |||||||
\(480\) | 1.77212e6 | + | 3.58572e6i | 0.351067 | + | 0.710351i | ||||
\(481\) | 3.02668e6 | − | 5.24236e6i | 0.596491 | − | 1.03315i | ||||
\(482\) | 960922. | + | 3.17200e6i | 0.188396 | + | 0.621893i | ||||
\(483\) | 1.11303e6 | + | 1.77905e6i | 0.217089 | + | 0.346992i | ||||
\(484\) | −8.70111e6 | + | 5.80450e6i | −1.68835 | + | 1.12629i | ||||
\(485\) | − | 6.97536e6i | − | 1.34652i | ||||||
\(486\) | −4.36750e6 | − | 2.83517e6i | −0.838769 | − | 0.544488i | ||||
\(487\) | − | 4.64134e6i | − | 0.886790i | −0.896326 | − | 0.443395i | \(-0.853774\pi\) | ||
0.896326 | − | 0.443395i | \(-0.146226\pi\) | |||||||
\(488\) | −324810. | + | 1.95372e6i | −0.0617419 | + | 0.371375i | ||||
\(489\) | 1.70691e6 | + | 2.72830e6i | 0.322803 | + | 0.515965i | ||||
\(490\) | 642252. | − | 194563.i | 0.120841 | − | 0.0366075i | ||||
\(491\) | −32004.7 | + | 55433.7i | −0.00599115 | + | 0.0103770i | −0.869005 | − | 0.494803i | \(-0.835240\pi\) |
0.863014 | + | 0.505180i | \(0.168574\pi\) | |||||||
\(492\) | 4.43549e6 | + | 1.99911e6i | 0.826094 | + | 0.372327i | ||||
\(493\) | −188251. | − | 326060.i | −0.0348835 | − | 0.0604200i | ||||
\(494\) | −2.15594e6 | − | 2.02077e6i | −0.397483 | − | 0.372563i | ||||
\(495\) | −6.76114e6 | − | 3.28848e6i | −1.24024 | − | 0.603228i | ||||
\(496\) | 34438.1 | + | 264639.i | 0.00628543 | + | 0.0483002i | ||||
\(497\) | 7.29865e6 | − | 4.21388e6i | 1.32541 | − | 0.765228i | ||||
\(498\) | 159527. | + | 139238.i | 0.0288245 | + | 0.0251585i | ||||
\(499\) | 3.98798e6 | + | 2.30246e6i | 0.716972 | + | 0.413944i | 0.813637 | − | 0.581373i | \(-0.197484\pi\) |
−0.0966654 | + | 0.995317i | \(0.530818\pi\) | |||||||
\(500\) | 2.69226e6 | − | 5.44910e6i | 0.481607 | − | 0.974765i | ||||
\(501\) | −177907. | − | 5.01590e6i | −0.0316664 | − | 0.892800i | ||||
\(502\) | 3.92956e6 | + | 917792.i | 0.695960 | + | 0.162549i | ||||
\(503\) | −4.30022e6 | −0.757829 | −0.378914 | − | 0.925432i | \(-0.623703\pi\) | ||||
−0.378914 | + | 0.925432i | \(0.623703\pi\) | |||||||
\(504\) | 3.02707e6 | − | 4.26320e6i | 0.530819 | − | 0.747583i | ||||
\(505\) | −2.45620e6 | −0.428583 | ||||||||
\(506\) | −4.35785e6 | − | 1.01782e6i | −0.756651 | − | 0.176724i | ||||
\(507\) | −1.04428e6 | − | 554520.i | −0.180425 | − | 0.0958070i | ||||
\(508\) | −2.67012e6 | + | 5.40429e6i | −0.459063 | + | 0.929136i | ||||
\(509\) | −6.05140e6 | − | 3.49378e6i | −1.03529 | − | 0.597724i | −0.116793 | − | 0.993156i | \(-0.537261\pi\) |
−0.918495 | + | 0.395433i | \(0.870595\pi\) | |||||||
\(510\) | 1.41868e6 | − | 7.22104e6i | 0.241524 | − | 1.22935i | ||||
\(511\) | 1.90971e6 | − | 1.10257e6i | 0.323531 | − | 0.186791i | ||||
\(512\) | 2.81373e6 | − | 5.22181e6i | 0.474359 | − | 0.880331i | ||||
\(513\) | 3.61978e6 | − | 386463.i | 0.607280 | − | 0.0648357i | ||||
\(514\) | −2.32216e6 | − | 2.17657e6i | −0.387689 | − | 0.363382i | ||||
\(515\) | −2.55025e6 | − | 4.41717e6i | −0.423707 | − | 0.733882i | ||||
\(516\) | −2.47977e6 | + | 1.78442e6i | −0.410003 | + | 0.295035i | ||||
\(517\) | −411674. | + | 713040.i | −0.0677372 | + | 0.117324i | ||||
\(518\) | −7.16672e6 | + | 2.17108e6i | −1.17354 | + | 0.355509i | ||||
\(519\) | −4.00642e6 | + | 7.54493e6i | −0.652887 | + | 1.22952i | ||||
\(520\) | 4.29926e6 | + | 714761.i | 0.697245 | + | 0.115919i | ||||
\(521\) | 6.03385e6i | 0.973868i | 0.873439 | + | 0.486934i | \(0.161885\pi\) | ||||
−0.873439 | + | 0.486934i | \(0.838115\pi\) | |||||||
\(522\) | −43368.5 | + | 271253.i | −0.00696624 | + | 0.0435710i | ||||
\(523\) | − | 1.21106e6i | − | 0.193603i | −0.995304 | − | 0.0968013i | \(-0.969139\pi\) | ||
0.995304 | − | 0.0968013i | \(-0.0308612\pi\) | |||||||
\(524\) | 6.55885e6 | − | 4.37540e6i | 1.04352 | − | 0.696129i | ||||
\(525\) | −2.15355e6 | + | 76383.4i | −0.341001 | + | 0.0120948i | ||||
\(526\) | 2.73455e6 | + | 9.02675e6i | 0.430945 | + | 1.42255i | ||||
\(527\) | 245507. | − | 425230.i | 0.0385067 | − | 0.0666956i | ||||
\(528\) | 1.82986e6 | + | 1.09988e7i | 0.285649 | + | 1.71696i | ||||
\(529\) | 2.57683e6 | + | 4.46320e6i | 0.400356 | + | 0.693437i | ||||
\(530\) | 5.83819e6 | − | 6.22870e6i | 0.902793 | − | 0.963181i | ||||
\(531\) | −1.44791e6 | − | 2.14155e6i | −0.222846 | − | 0.329604i | ||||
\(532\) | 236350. | + | 3.64776e6i | 0.0362057 | + | 0.558789i | ||||
\(533\) | 4.59108e6 | − | 2.65066e6i | 0.699997 | − | 0.404144i | ||||
\(534\) | 821410. | + | 2.40120e6i | 0.124654 | + | 0.364397i | ||||
\(535\) | −6.23092e6 | − | 3.59743e6i | −0.941170 | − | 0.543385i | ||||
\(536\) | −3.65334e6 | − | 9.73979e6i | −0.549260 | − | 1.46433i | ||||
\(537\) | −2.24352e6 | + | 1.40361e6i | −0.335733 | + | 0.210044i | ||||
\(538\) | 1.16970e6 | − | 5.00809e6i | 0.174228 | − | 0.745962i | ||||
\(539\) | 1.87075e6 | 0.277360 | ||||||||
\(540\) | −4.12501e6 | + | 3.43698e6i | −0.608752 | + | 0.507215i | ||||
\(541\) | −4.95265e6 | −0.727519 | −0.363760 | − | 0.931493i | \(-0.618507\pi\) | ||||
−0.363760 | + | 0.931493i | \(0.618507\pi\) | |||||||
\(542\) | −1.78483e6 | + | 7.64180e6i | −0.260975 | + | 1.11737i | ||||
\(543\) | −8.62206e6 | + | 5.39422e6i | −1.25491 | + | 0.785108i | ||||
\(544\) | −9.94922e6 | + | 4.48555e6i | −1.44142 | + | 0.649858i | ||||
\(545\) | 6.69165e6 | + | 3.86342e6i | 0.965032 | + | 0.557161i | ||||
\(546\) | −1.84403e6 | − | 5.39060e6i | −0.264720 | − | 0.773848i | ||||
\(547\) | 381241. | − | 220109.i | 0.0544792 | − | 0.0314536i | −0.472513 | − | 0.881324i | \(-0.656653\pi\) |
0.526992 | + | 0.849870i | \(0.323320\pi\) | |||||||
\(548\) | 3.27635e6 | − | 212285.i | 0.466056 | − | 0.0301972i | ||||
\(549\) | −2.65199e6 | + | 188361.i | −0.375526 | + | 0.0266723i | ||||
\(550\) | 3.14259e6 | − | 3.35280e6i | 0.442977 | − | 0.472607i | ||||
\(551\) | −96023.5 | − | 166318.i | −0.0134741 | − | 0.0233378i | ||||
\(552\) | −1.94144e6 | + | 2.53858e6i | −0.271192 | + | 0.354603i | ||||
\(553\) | −882310. | + | 1.52821e6i | −0.122690 | + | 0.212505i | ||||
\(554\) | 1.77206e6 | + | 5.84957e6i | 0.245304 | + | 0.809747i | ||||
\(555\) | 7.68495e6 | − | 272575.i | 1.05903 | − | 0.0375624i | ||||
\(556\) | 3.98319e6 | + | 5.97092e6i | 0.546442 | + | 0.819132i | ||||
\(557\) | − | 2.77476e6i | − | 0.378955i | −0.981885 | − | 0.189477i | \(-0.939321\pi\) | ||
0.981885 | − | 0.189477i | \(-0.0606794\pi\) | |||||||
\(558\) | −334638. | + | 127895.i | −0.0454978 | + | 0.0173887i | ||||
\(559\) | 3.32893e6i | 0.450583i | ||||||||
\(560\) | −3.27570e6 | − | 4.28221e6i | −0.441402 | − | 0.577030i | ||||
\(561\) | 9.62120e6 | − | 1.81188e7i | 1.29069 | − | 2.43064i | ||||
\(562\) | 2.12917e6 | − | 645007.i | 0.284360 | − | 0.0861437i | ||||
\(563\) | −1.99125e6 | + | 3.44895e6i | −0.264762 | + | 0.458581i | −0.967501 | − | 0.252867i | \(-0.918627\pi\) |
0.702740 | + | 0.711447i | \(0.251960\pi\) | |||||||
\(564\) | 343435. | + | 477262.i | 0.0454618 | + | 0.0631770i | ||||
\(565\) | −2.02340e6 | − | 3.50464e6i | −0.266662 | − | 0.461872i | ||||
\(566\) | −1.18634e6 | − | 1.11196e6i | −0.155656 | − | 0.145897i | ||||
\(567\) | 6.51349e6 | + | 2.61505e6i | 0.850856 | + | 0.341604i | ||||
\(568\) | 9.91219e6 | + | 8.15334e6i | 1.28914 | + | 1.06039i | ||||
\(569\) | −6.64391e6 | + | 3.83587e6i | −0.860287 | + | 0.496687i | −0.864108 | − | 0.503306i | \(-0.832117\pi\) |
0.00382141 | + | 0.999993i | \(0.498784\pi\) | |||||||
\(570\) | 723645. | − | 3.68333e6i | 0.0932907 | − | 0.474846i | ||||
\(571\) | 4.95051e6 | + | 2.85818e6i | 0.635418 | + | 0.366859i | 0.782847 | − | 0.622214i | \(-0.213766\pi\) |
−0.147429 | + | 0.989073i | \(0.547100\pi\) | |||||||
\(572\) | 1.08925e7 | + | 5.38172e6i | 1.39200 | + | 0.687750i | ||||
\(573\) | 3.60438e6 | + | 1.91395e6i | 0.458611 | + | 0.243526i | ||||
\(574\) | −6.38617e6 | − | 1.49156e6i | −0.809022 | − | 0.188956i | ||||
\(575\) | 1.31714e6 | 0.166136 | ||||||||
\(576\) | 7.69789e6 | + | 2.03613e6i | 0.966753 | + | 0.255711i | ||||
\(577\) | −9.39744e6 | −1.17509 | −0.587544 | − | 0.809192i | \(-0.699905\pi\) | ||||
−0.587544 | + | 0.809192i | \(0.699905\pi\) | |||||||
\(578\) | 1.17323e7 | + | 2.74020e6i | 1.46071 | + | 0.341164i | ||||
\(579\) | 503968. | + | 1.42088e7i | 0.0624750 | + | 1.76142i | ||||
\(580\) | 253949. | + | 125470.i | 0.0313456 | + | 0.0154871i | ||||
\(581\) | −247183. | − | 142711.i | −0.0303794 | − | 0.0175395i | ||||
\(582\) | −1.04620e7 | − | 9.13139e6i | −1.28028 | − | 1.11745i | ||||
\(583\) | 2.06102e7 | − | 1.18993e7i | 2.51137 | − | 1.44994i | ||||
\(584\) | 2.59356e6 | + | 2.13335e6i | 0.314676 | + | 0.258839i | ||||
\(585\) | 414499. | + | 5.83583e6i | 0.0500765 | + | 0.705039i | ||||
\(586\) | 7.41416e6 | + | 6.94932e6i | 0.891904 | + | 0.835985i | ||||
\(587\) | −7.92251e6 | − | 1.37222e7i | −0.949002 | − | 1.64372i | −0.747532 | − | 0.664226i | \(-0.768761\pi\) |
−0.201471 | − | 0.979495i | \(-0.564572\pi\) | |||||||
\(588\) | 548953. | − | 1.21798e6i | 0.0654775 | − | 0.145277i | ||||
\(589\) | 125229. | − | 216902.i | 0.0148736 | − | 0.0257618i | ||||
\(590\) | −2.55111e6 | + | 772831.i | −0.301717 | + | 0.0914017i | ||||
\(591\) | −1.16955e6 | − | 1.86939e6i | −0.137737 | − | 0.220157i | ||||
\(592\) | −6.92882e6 | − | 9.05780e6i | −0.812559 | − | 1.06223i | ||||
\(593\) | 945465.i | 0.110410i | 0.998475 | + | 0.0552050i | \(0.0175812\pi\) | ||||
−0.998475 | + | 0.0552050i | \(0.982419\pi\) | |||||||
\(594\) | −1.37832e7 | + | 5.83575e6i | −1.60281 | + | 0.678626i | ||||
\(595\) | 9.91969e6i | 1.14870i | ||||||||
\(596\) | −569970. | − | 854401.i | −0.0657258 | − | 0.0985249i | ||||
\(597\) | 4.69674e6 | + | 7.50721e6i | 0.539338 | + | 0.862071i | ||||
\(598\) | 1.00963e6 | + | 3.33278e6i | 0.115454 | + | 0.381113i | ||||
\(599\) | −3.63749e6 | + | 6.30031e6i | −0.414223 | + | 0.717455i | −0.995347 | − | 0.0963599i | \(-0.969280\pi\) |
0.581123 | + | 0.813815i | \(0.302613\pi\) | |||||||
\(600\) | −1.26073e6 | − | 3.02988e6i | −0.142970 | − | 0.343595i | ||||
\(601\) | −2.93990e6 | − | 5.09206e6i | −0.332007 | − | 0.575053i | 0.650898 | − | 0.759165i | \(-0.274392\pi\) |
−0.982905 | + | 0.184112i | \(0.941059\pi\) | |||||||
\(602\) | 2.81621e6 | − | 3.00459e6i | 0.316719 | − | 0.337904i | ||||
\(603\) | 1.15683e7 | − | 7.82134e6i | 1.29561 | − | 0.875967i | ||||
\(604\) | −2.42686e6 | + | 157244.i | −0.270677 | + | 0.0175380i | ||||
\(605\) | −1.25385e7 | + | 7.23908e6i | −1.39269 | + | 0.804072i | ||||
\(606\) | −3.21539e6 | + | 3.68392e6i | −0.355674 | + | 0.407501i | ||||
\(607\) | −3.03686e6 | − | 1.75333e6i | −0.334544 | − | 0.193149i | 0.323313 | − | 0.946292i | \(-0.395203\pi\) |
−0.657857 | + | 0.753143i | \(0.728537\pi\) | |||||||
\(608\) | −5.07492e6 | + | 2.28800e6i | −0.556763 | + | 0.251013i | ||||
\(609\) | −13125.0 | − | 370046.i | −0.00143403 | − | 0.0404309i | ||||
\(610\) | −623521. | + | 2.66963e6i | −0.0678464 | + | 0.290487i | ||||
\(611\) | 640694. | 0.0694300 | ||||||||
\(612\) | −8.97326e6 | − | 1.15808e7i | −0.968438 | − | 1.24986i | ||||
\(613\) | 1.60744e7 | 1.72776 | 0.863880 | − | 0.503697i | \(-0.168027\pi\) | ||||
0.863880 | + | 0.503697i | \(0.168027\pi\) | |||||||
\(614\) | 1.46159e6 | − | 6.25783e6i | 0.156460 | − | 0.669889i | ||||
\(615\) | 5.94789e6 | + | 3.15837e6i | 0.634125 | + | 0.336725i | ||||
\(616\) | −5.27841e6 | − | 1.40722e7i | −0.560469 | − | 1.49421i | ||||
\(617\) | 5.66445e6 | + | 3.27037e6i | 0.599024 | + | 0.345847i | 0.768658 | − | 0.639660i | \(-0.220925\pi\) |
−0.169633 | + | 0.985507i | \(0.554258\pi\) | |||||||
\(618\) | −9.96359e6 | − | 1.95750e6i | −1.04941 | − | 0.206172i | ||||
\(619\) | −9.47481e6 | + | 5.47028e6i | −0.993903 | + | 0.573830i | −0.906439 | − | 0.422338i | \(-0.861210\pi\) |
−0.0874641 | + | 0.996168i | \(0.527876\pi\) | |||||||
\(620\) | 23884.7 | + | 368631.i | 0.00249541 | + | 0.0385135i | ||||
\(621\) | −3.92208e6 | − | 1.73851e6i | −0.408120 | − | 0.180904i | ||||
\(622\) | 1.36558e6 | − | 1.45693e6i | 0.141528 | − | 0.150995i | ||||
\(623\) | −1.71042e6 | − | 2.96254e6i | −0.176556 | − | 0.305805i | ||||
\(624\) | 6.70016e6 | − | 5.51254e6i | 0.688849 | − | 0.566748i | ||||
\(625\) | 2.38940e6 | − | 4.13856e6i | 0.244674 | − | 0.423788i | ||||
\(626\) | −224313. | − | 740457.i | −0.0228780 | − | 0.0755203i | ||||
\(627\) | 4.90760e6 | − | 9.24206e6i | 0.498541 | − | 0.938858i | ||||
\(628\) | −1.36133e7 | + | 9.08144e6i | −1.37742 | + | 0.918874i | ||||
\(629\) | 2.09823e7i | 2.11459i | ||||||||
\(630\) | 4.56289e6 | − | 5.61789e6i | 0.458024 | − | 0.563926i | ||||
\(631\) | − | 1.64472e7i | − | 1.64444i | −0.569168 | − | 0.822221i | \(-0.692735\pi\) | ||
0.569168 | − | 0.822221i | \(-0.307265\pi\) | |||||||
\(632\) | −2.65096e6 | − | 440728.i | −0.264004 | − | 0.0438912i | ||||
\(633\) | −7.10923e6 | + | 252154.i | −0.705201 | + | 0.0250125i | ||||
\(634\) | 3.81294e6 | − | 1.15509e6i | 0.376736 | − | 0.114128i | ||||
\(635\) | −4.17196e6 | + | 7.22604e6i | −0.410587 | + | 0.711158i | ||||
\(636\) | −1.69936e6 | − | 1.69103e7i | −0.166588 | − | 1.65771i | ||||
\(637\) | −727867. | − | 1.26070e6i | −0.0710728 | − | 0.123102i | ||||
\(638\) | 576115. | + | 539994.i | 0.0560347 | + | 0.0525216i | ||||
\(639\) | −7.53584e6 | + | 1.54938e7i | −0.730095 | + | 1.50108i | ||||
\(640\) | 4.35399e6 | − | 6.96113e6i | 0.420182 | − | 0.671784i | ||||
\(641\) | −6.01469e6 | + | 3.47258e6i | −0.578187 | + | 0.333816i | −0.760413 | − | 0.649440i | \(-0.775003\pi\) |
0.182226 | + | 0.983257i | \(0.441670\pi\) | |||||||
\(642\) | −1.35524e7 | + | 4.63606e6i | −1.29772 | + | 0.443927i | ||||
\(643\) | −1.22490e7 | − | 7.07195e6i | −1.16835 | − | 0.674546i | −0.215057 | − | 0.976601i | \(-0.568994\pi\) |
−0.953290 | + | 0.302055i | \(0.902327\pi\) | |||||||
\(644\) | 1.90821e6 | − | 3.86219e6i | 0.181306 | − | 0.366960i | ||||
\(645\) | −3.58504e6 | + | 2.24291e6i | −0.339309 | + | 0.212282i | ||||
\(646\) | 9.97399e6 | + | 2.32954e6i | 0.940346 | + | 0.219628i | ||||
\(647\) | 1.06848e7 | 1.00347 | 0.501736 | − | 0.865021i | \(-0.332695\pi\) | ||||
0.501736 | + | 0.865021i | \(0.332695\pi\) | |||||||
\(648\) | −245082. | + | 1.06862e7i | −0.0229284 | + | 0.999737i | ||||
\(649\) | −7.43086e6 | −0.692512 | ||||||||
\(650\) | −3.48217e6 | − | 813301.i | −0.323271 | − | 0.0755036i | ||||
\(651\) | 409380. | − | 256121.i | 0.0378595 | − | 0.0236860i | ||||
\(652\) | 2.92638e6 | − | 5.92295e6i | 0.269595 | − | 0.545656i | ||||
\(653\) | 7.15281e6 | + | 4.12968e6i | 0.656438 | + | 0.378995i | 0.790919 | − | 0.611921i | \(-0.209603\pi\) |
−0.134480 | + | 0.990916i | \(0.542936\pi\) | |||||||
\(654\) | 1.45545e7 | − | 4.97885e6i | 1.33062 | − | 0.455182i | ||||
\(655\) | 9.45143e6 | − | 5.45678e6i | 0.860784 | − | 0.496974i | ||||
\(656\) | −1.28880e6 | − | 9.90376e6i | −0.116930 | − | 0.898546i | ||||
\(657\) | −1.97178e6 | + | 4.05400e6i | −0.178215 | + | 0.366412i | ||||
\(658\) | −578270. | − | 542014.i | −0.0520674 | − | 0.0488030i | ||||
\(659\) | −1.13554e6 | − | 1.96681e6i | −0.101856 | − | 0.176420i | 0.810593 | − | 0.585610i | \(-0.199145\pi\) |
−0.912450 | + | 0.409189i | \(0.865812\pi\) | |||||||
\(660\) | 1.54322e6 | + | 1.53565e7i | 0.137901 | + | 1.37225i | ||||
\(661\) | 6.82941e6 | − | 1.18289e7i | 0.607967 | − | 1.05303i | −0.383608 | − | 0.923496i | \(-0.625319\pi\) |
0.991575 | − | 0.129533i | \(-0.0413480\pi\) | |||||||
\(662\) | 7.57185e6 | − | 2.29381e6i | 0.671517 | − | 0.203429i | ||||
\(663\) | −1.59537e7 | + | 565856.i | −1.40954 | + | 0.0499944i | ||||
\(664\) | 71286.6 | − | 428786.i | 0.00627463 | − | 0.0377416i | ||||
\(665\) | 5.05986e6i | 0.443695i | ||||||||
\(666\) | 9.65149e6 | − | 1.18831e7i | 0.843158 | − | 1.03811i | ||||
\(667\) | 226326.i | 0.0196979i | ||||||||
\(668\) | −8.57100e6 | + | 5.71770e6i | −0.743174 | + | 0.495770i | ||||
\(669\) | −890850. | + | 1.67766e6i | −0.0769555 | + | 0.144923i | ||||
\(670\) | −4.17470e6 | − | 1.37807e7i | −0.359284 | − | 1.18600i | ||||
\(671\) | −3.82118e6 | + | 6.61848e6i | −0.327636 | + | 0.567482i | ||||
\(672\) | −1.07109e7 | − | 692767.i | −0.914957 | − | 0.0591785i | ||||
\(673\) | −5.08153e6 | − | 8.80146e6i | −0.432471 | − | 0.749061i | 0.564615 | − | 0.825355i | \(-0.309025\pi\) |
−0.997085 | + | 0.0762934i | \(0.975691\pi\) | |||||||
\(674\) | −4.37505e6 | + | 4.66770e6i | −0.370966 | + | 0.395779i | ||||
\(675\) | 3.55975e6 | − | 2.59525e6i | 0.300719 | − | 0.219240i | ||||
\(676\) | 156935. | + | 2.42210e6i | 0.0132085 | + | 0.203857i | ||||
\(677\) | 2.00175e7 | − | 1.15571e7i | 1.67856 | − | 0.969120i | 0.715987 | − | 0.698113i | \(-0.245977\pi\) |
0.962578 | − | 0.271006i | \(-0.0873564\pi\) | |||||||
\(678\) | −7.90523e6 | − | 1.55310e6i | −0.660451 | − | 0.129756i | ||||
\(679\) | 1.62105e7 | + | 9.35916e6i | 1.34935 | + | 0.779045i | ||||
\(680\) | −1.41444e7 | + | 5.30550e6i | −1.17304 | + | 0.440001i | ||||
\(681\) | −1.75897e6 | − | 934025.i | −0.145342 | − | 0.0771775i | ||||
\(682\) | −234213. | + | 1.00279e6i | −0.0192819 | + | 0.0825563i | ||||
\(683\) | −5.18871e6 | −0.425606 | −0.212803 | − | 0.977095i | \(-0.568259\pi\) | ||||
−0.212803 | + | 0.977095i | \(0.568259\pi\) | |||||||
\(684\) | −4.57710e6 | − | 5.90717e6i | −0.374068 | − | 0.482769i | ||||
\(685\) | 4.54466e6 | 0.370062 | ||||||||
\(686\) | −2.97989e6 | + | 1.27585e7i | −0.241763 | + | 1.03511i | ||||
\(687\) | −214826. | − | 6.05680e6i | −0.0173658 | − | 0.489611i | ||||
\(688\) | 5.79046e6 | + | 2.40863e6i | 0.466382 | + | 0.193999i | ||||
\(689\) | −1.60379e7 | − | 9.25951e6i | −1.28707 | − | 0.743088i | ||||
\(690\) | −2.90894e6 | + | 3.33281e6i | −0.232601 | + | 0.266494i | ||||
\(691\) | −1.57664e6 | + | 910275.i | −0.125614 | + | 0.0725233i | −0.561490 | − | 0.827483i | \(-0.689772\pi\) |
0.435876 | + | 0.900007i | \(0.356438\pi\) | |||||||
\(692\) | 1.74997e7 | − | 1.13386e6i | 1.38920 | − | 0.0900108i | ||||
\(693\) | 1.67141e7 | − | 1.13004e7i | 1.32205 | − | 0.893843i | ||||
\(694\) | −5.18072e6 | + | 5.52726e6i | −0.408311 | + | 0.435623i | ||||
\(695\) | 4.96764e6 | + | 8.60420e6i | 0.390111 | + | 0.675691i | ||||
\(696\) | 520628. | − | 216633.i | 0.0407384 | − | 0.0169512i | ||||
\(697\) | −9.18777e6 | + | 1.59137e7i | −0.716355 | + | 1.24076i | ||||
\(698\) | 3.27076e6 | + | 1.07968e7i | 0.254104 | + | 0.838795i | ||||
\(699\) | −1.21829e6 | − | 1.94730e6i | −0.0943102 | − | 0.150744i | ||||
\(700\) | 2.45486e6 | + | 3.67991e6i | 0.189357 | + | 0.283852i | ||||
\(701\) | 1.38877e7i | 1.06742i | 0.845667 | + | 0.533711i | \(0.179203\pi\) | ||||
−0.845667 | + | 0.533711i | \(0.820797\pi\) | |||||||
\(702\) | 9.29546e6 | + | 7.01796e6i | 0.711915 | + | 0.537487i | ||||
\(703\) | 1.07027e7i | 0.816779i | ||||||||
\(704\) | 1.72424e7 | − | 1.50529e7i | 1.31119 | − | 1.14469i | ||||
\(705\) | 431676. | + | 689985.i | 0.0327103 | + | 0.0522838i | ||||
\(706\) | −9.83780e6 | + | 2.98025e6i | −0.742824 | + | 0.225030i | ||||
\(707\) | 3.29560e6 | − | 5.70814e6i | 0.247962 | − | 0.429483i | ||||
\(708\) | −2.18052e6 | + | 4.83798e6i | −0.163484 | + | 0.362728i | ||||
\(709\) | −2.24469e6 | − | 3.88792e6i | −0.167703 | − | 0.290470i | 0.769909 | − | 0.638154i | \(-0.220302\pi\) |
−0.937612 | + | 0.347684i | \(0.886968\pi\) | |||||||
\(710\) | 1.29621e7 | + | 1.21494e7i | 0.965006 | + | 0.904504i | ||||
\(711\) | −255584. | − | 3.59842e6i | −0.0189609 | − | 0.266955i | ||||
\(712\) | 3.30946e6 | − | 4.02338e6i | 0.244657 | − | 0.297434i | ||||
\(713\) | −255617. | + | 147581.i | −0.0188307 | + | 0.0108719i | ||||
\(714\) | 1.48780e7 | + | 1.29858e7i | 1.09219 | + | 0.953286i | ||||
\(715\) | 1.45643e7 | + | 8.40871e6i | 1.06543 | + | 0.615126i | ||||
\(716\) | 4.87051e6 | + | 2.40640e6i | 0.355052 | + | 0.175422i | ||||
\(717\) | −206097. | − | 5.81067e6i | −0.0149718 | − | 0.422113i | ||||
\(718\) | 6.42513e6 | + | 1.50066e6i | 0.465126 | + | 0.108635i | ||||
\(719\) | −603305. | −0.0435226 | −0.0217613 | − | 0.999763i | \(-0.506927\pi\) | ||||
−0.0217613 | + | 0.999763i | \(0.506927\pi\) | |||||||
\(720\) | 1.04510e7 | + | 3.50149e6i | 0.751320 | + | 0.251723i | ||||
\(721\) | 1.36872e7 | 0.980564 | ||||||||
\(722\) | −8.55228e6 | − | 1.99748e6i | −0.610575 | − | 0.142607i | ||||
\(723\) | 8.06657e6 | + | 4.28341e6i | 0.573909 | + | 0.304750i | ||||
\(724\) | 1.87179e7 | + | 9.24803e6i | 1.32712 | + | 0.655696i | ||||
\(725\) | −201269. | − | 116203.i | −0.0142210 | − | 0.00821052i | ||||
\(726\) | −5.55650e6 | + | 2.82824e7i | −0.391255 | + | 1.99147i | ||||
\(727\) | −1.84417e7 | + | 1.06473e7i | −1.29409 | + | 0.747144i | −0.979377 | − | 0.202043i | \(-0.935242\pi\) |
−0.314714 | + | 0.949186i | \(0.601909\pi\) | |||||||
\(728\) | −7.42961e6 | + | 9.03234e6i | −0.519562 | + | 0.631643i | ||||
\(729\) | −1.40255e7 | + | 3.02937e6i | −0.977460 | + | 0.211122i | ||||
\(730\) | 3.39158e6 | + | 3.17894e6i | 0.235556 | + | 0.220788i | ||||
\(731\) | −5.76941e6 | − | 9.99291e6i | −0.399335 | − | 0.691669i | ||||
\(732\) | 3.18778e6 | + | 4.42998e6i | 0.219893 | + | 0.305579i | ||||
\(733\) | −4.21399e6 | + | 7.29884e6i | −0.289690 | + | 0.501758i | −0.973736 | − | 0.227682i | \(-0.926885\pi\) |
0.684046 | + | 0.729439i | \(0.260219\pi\) | |||||||
\(734\) | −8.91382e6 | + | 2.70034e6i | −0.610694 | + | 0.185003i | ||||
\(735\) | 867285. | − | 1.63328e6i | 0.0592166 | − | 0.111517i | ||||
\(736\) | 6.52767e6 | + | 655234.i | 0.444185 | + | 0.0445863i | ||||
\(737\) | − | 4.01402e7i | − | 2.72214i | ||||||
\(738\) | 1.25234e7 | − | 4.78631e6i | 0.846412 | − | 0.323489i | ||||
\(739\) | − | 1.72623e7i | − | 1.16275i | −0.813635 | − | 0.581376i | \(-0.802514\pi\) | ||
0.813635 | − | 0.581376i | \(-0.197486\pi\) | |||||||
\(740\) | −8.76020e6 | − | 1.31318e7i | −0.588077 | − | 0.881545i | ||||
\(741\) | −8.13770e6 | + | 288633.i | −0.544447 | + | 0.0193108i | ||||
\(742\) | 6.64197e6 | + | 2.19251e7i | 0.442881 | + | 1.46195i | ||||
\(743\) | 8.79333e6 | − | 1.52305e7i | 0.584361 | − | 1.01214i | −0.410594 | − | 0.911818i | \(-0.634679\pi\) |
0.994955 | − | 0.100324i | \(-0.0319881\pi\) | |||||||
\(744\) | 584157. | + | 446749.i | 0.0386898 | + | 0.0295890i | ||||
\(745\) | −710838. | − | 1.23121e6i | −0.0469224 | − | 0.0812719i | ||||
\(746\) | −7.53395e6 | + | 8.03789e6i | −0.495651 | + | 0.528805i | ||||
\(747\) | 582036. | − | 41340.0i | 0.0381635 | − | 0.00271062i | ||||
\(748\) | −4.20247e7 | + | 2.72291e6i | −2.74632 | + | 0.177942i | ||||
\(749\) | 1.67206e7 | − | 9.65367e6i | 1.08905 | − | 0.628764i | ||||
\(750\) | −5.42105e6 | − | 1.58472e7i | −0.351909 | − | 1.02872i | ||||
\(751\) | −1.82336e7 | − | 1.05272e7i | −1.17970 | − | 0.681101i | −0.223756 | − | 0.974645i | \(-0.571832\pi\) |
−0.955945 | + | 0.293544i | \(0.905165\pi\) | |||||||
\(752\) | 463571. | − | 1.11445e6i | 0.0298931 | − | 0.0718645i | ||||
\(753\) | 9.42708e6 | − | 5.89787e6i | 0.605885 | − | 0.379060i | ||||
\(754\) | 139750. | − | 598346.i | 0.00895209 | − | 0.0383287i | ||||
\(755\) | −3.36632e6 | −0.214926 | ||||||||
\(756\) | −2.45273e6 | − | 1.41980e7i | −0.156079 | − | 0.903487i | ||||
\(757\) | −7.12325e6 | −0.451792 | −0.225896 | − | 0.974151i | \(-0.572531\pi\) | ||||
−0.225896 | + | 0.974151i | \(0.572531\pi\) | |||||||
\(758\) | 6.07272e6 | − | 2.60005e7i | 0.383893 | − | 1.64365i | ||||
\(759\) | −1.04546e7 | + | 6.54069e6i | −0.658720 | + | 0.412116i | ||||
\(760\) | −7.21483e6 | + | 2.70624e6i | −0.453098 | + | 0.169954i | ||||
\(761\) | −4.12690e6 | − | 2.38267e6i | −0.258323 | − | 0.149143i | 0.365247 | − | 0.930911i | \(-0.380985\pi\) |
−0.623569 | + | 0.781768i | \(0.714318\pi\) | |||||||
\(762\) | 5.37647e6 | + | 1.57169e7i | 0.335436 | + | 0.980569i | ||||
\(763\) | −1.79570e7 | + | 1.03675e7i | −1.11666 | + | 0.644706i | ||||
\(764\) | −541671. | − | 8.36001e6i | −0.0335739 | − | 0.518171i | ||||
\(765\) | −1.13584e7 | − | 1.67998e7i | −0.701720 | − | 1.03789i | ||||
\(766\) | 1.95224e6 | − | 2.08282e6i | 0.120216 | − | 0.128257i | ||||
\(767\) | 2.89119e6 | + | 5.00768e6i | 0.177455 | + | 0.307361i | ||||
\(768\) | −4.74084e6 | − | 1.56431e7i | −0.290036 | − | 0.957016i | ||||
\(769\) | −1.98809e6 | + | 3.44347e6i | −0.121233 | + | 0.209981i | −0.920254 | − | 0.391321i | \(-0.872018\pi\) |
0.799021 | + | 0.601303i | \(0.205351\pi\) | |||||||
\(770\) | −6.03168e6 | − | 1.99106e7i | −0.366616 | − | 1.21020i | ||||
\(771\) | −8.76509e6 | + | 310886.i | −0.531032 | + | 0.0188350i | ||||
\(772\) | 2.42796e7 | − | 1.61969e7i | 1.46622 | − | 0.978111i | ||||
\(773\) | − | 2.42703e7i | − | 1.46092i | −0.682957 | − | 0.730459i | \(-0.739306\pi\) | ||
0.682957 | − | 0.730459i | \(-0.260694\pi\) | |||||||
\(774\) | −1.32913e6 | + | 8.31319e6i | −0.0797473 | + | 0.498787i | ||||
\(775\) | − | 303090.i | − | 0.0181266i | ||||||
\(776\) | −4.67505e6 | + | 2.81202e7i | −0.278697 | + | 1.67635i | ||||
\(777\) | −9.67780e6 | + | 1.82253e7i | −0.575075 | + | 1.08299i | ||||
\(778\) | −1.00367e7 | + | 3.04051e6i | −0.594488 | + | 0.180093i | ||||
\(779\) | −4.68652e6 | + | 8.11729e6i | −0.276699 | + | 0.479256i | ||||
\(780\) | 9.74839e6 | − | 7.01488e6i | 0.573715 | − | 0.412842i | ||||
\(781\) | 2.47628e7 | + | 4.28904e7i | 1.45269 | + | 2.51613i | ||||
\(782\) | −8.80682e6 | − | 8.25466e6i | −0.514994 | − | 0.482706i | ||||
\(783\) | 445945. | + | 611677.i | 0.0259942 | + | 0.0356548i | ||||
\(784\) | −2.71956e6 | + | 353903.i | −0.158019 | + | 0.0205634i | ||||
\(785\) | −1.96171e7 | + | 1.13259e7i | −1.13621 | + | 0.655994i | ||||
\(786\) | 4.18846e6 | − | 2.13191e7i | 0.241823 | − | 1.23087i | ||||
\(787\) | −3.72373e6 | − | 2.14990e6i | −0.214310 | − | 0.123732i | 0.389003 | − | 0.921236i | \(-0.372820\pi\) |
−0.603313 | + | 0.797505i | \(0.706153\pi\) | |||||||
\(788\) | −2.00511e6 | + | 4.05832e6i | −0.115033 | + | 0.232825i | ||||
\(789\) | 2.29555e7 | + | 1.21895e7i | 1.31279 | + | 0.697100i | ||||
\(790\) | −3.62236e6 | − | 846043.i | −0.206502 | − | 0.0482308i | ||||
\(791\) | 1.08596e7 | 0.617123 | ||||||||
\(792\) | 2.50527e7 | + | 1.77885e7i | 1.41919 | + | 1.00769i | ||||
\(793\) | 5.94696e6 | 0.335824 | ||||||||
\(794\) | 1.28221e7 | + | 2.99474e6i | 0.721784 | + | 0.168581i | ||||
\(795\) | −833887. | − | 2.35105e7i | −0.0467939 | − | 1.31930i | ||||
\(796\) | 8.05224e6 | − | 1.62976e7i | 0.450437 | − | 0.911678i | ||||
\(797\) | 4.99939e6 | + | 2.88640e6i | 0.278786 | + | 0.160957i | 0.632874 | − | 0.774255i | \(-0.281875\pi\) |
−0.354087 | + | 0.935212i | \(0.615208\pi\) | |||||||
\(798\) | 7.58900e6 | + | 6.62382e6i | 0.421869 | + | 0.368215i | ||||
\(799\) | −1.92326e6 | + | 1.11039e6i | −0.106579 | + | 0.0615333i | ||||
\(800\) | −3.93420e6 | + | 5.46856e6i | −0.217336 | + | 0.302098i | ||||
\(801\) | 6.28896e6 | + | 3.05882e6i | 0.346336 | + | 0.168450i | ||||
\(802\) | −1.51296e7 | − | 1.41810e7i | −0.830598 | − | 0.778523i | ||||
\(803\) | 6.47926e6 | + | 1.12224e7i | 0.354598 | + | 0.614183i | ||||
\(804\) | −2.61339e7 | − | 1.17788e7i | −1.42582 | − | 0.642628i | ||||
\(805\) | 2.98150e6 | − | 5.16411e6i | 0.162160 | − | 0.280870i | ||||
\(806\) | 766913. | − | 232328.i | 0.0415823 | − | 0.0125969i | ||||
\(807\) | −7.51664e6 | − | 1.20145e7i | −0.406294 | − | 0.649415i | ||||
\(808\) | 9.90184e6 | + | 1.64620e6i | 0.533565 | + | 0.0887064i | ||||
\(809\) | − | 1.31473e7i | − | 0.706260i | −0.935574 | − | 0.353130i | \(-0.885117\pi\) | ||
0.935574 | − | 0.353130i | \(-0.114883\pi\) | |||||||
\(810\) | −1.29494e6 | + | 1.47391e7i | −0.0693488 | + | 0.789327i | ||||
\(811\) | 1.56762e7i | 0.836930i | 0.908233 | + | 0.418465i | \(0.137432\pi\) | ||||
−0.908233 | + | 0.418465i | \(0.862568\pi\) | |||||||
\(812\) | −632323. | + | 421822.i | −0.0336550 | + | 0.0224512i | ||||
\(813\) | 1.14696e7 | + | 1.83328e7i | 0.608585 | + | 0.972755i | ||||
\(814\) | −1.27583e7 | − | 4.21152e7i | −0.674889 | − | 2.22781i | ||||
\(815\) | 4.57235e6 | − | 7.91954e6i | 0.241127 | − | 0.417643i | ||||
\(816\) | −1.05590e7 | + | 2.81599e7i | −0.555131 | + | 1.48049i | ||||
\(817\) | −2.94287e6 | − | 5.09720e6i | −0.154247 | − | 0.267163i | ||||
\(818\) | −5.41315e6 | + | 5.77523e6i | −0.282857 | + | 0.301777i | ||||
\(819\) | −1.41185e7 | − | 6.86692e6i | −0.735492 | − | 0.357728i | ||||
\(820\) | −893856. | − | 1.37955e7i | −0.0464230 | − | 0.716480i | ||||
\(821\) | −4.25997e6 | + | 2.45949e6i | −0.220571 | + | 0.127347i | −0.606215 | − | 0.795301i | \(-0.707313\pi\) |
0.385644 | + | 0.922648i | \(0.373979\pi\) | |||||||
\(822\) | 5.94938e6 | − | 6.81629e6i | 0.307109 | − | 0.351859i | ||||
\(823\) | 2.72278e7 | + | 1.57200e7i | 1.40124 | + | 0.809008i | 0.994520 | − | 0.104544i | \(-0.0333383\pi\) |
0.406722 | + | 0.913552i | \(0.366672\pi\) | |||||||
\(824\) | 7.32052e6 | + | 1.95165e7i | 0.375599 | + | 1.00134i | ||||
\(825\) | −448866. | − | 1.26553e7i | −0.0229605 | − | 0.647347i | ||||
\(826\) | 1.62691e6 | − | 6.96566e6i | 0.0829685 | − | 0.355232i | ||||
\(827\) | 7.97015e6 | 0.405231 | 0.202615 | − | 0.979258i | \(-0.435056\pi\) | ||||
0.202615 | + | 0.979258i | \(0.435056\pi\) | |||||||
\(828\) | 1.19063e6 | + | 8.72591e6i | 0.0603533 | + | 0.442318i | ||||
\(829\) | −1.91383e7 | −0.967204 | −0.483602 | − | 0.875288i | \(-0.660672\pi\) | ||||
−0.483602 | + | 0.875288i | \(0.660672\pi\) | |||||||
\(830\) | 136845. | − | 585908.i | 0.00689501 | − | 0.0295212i | ||||
\(831\) | 1.48758e7 | + | 7.89914e6i | 0.747268 | + | 0.396805i | ||||
\(832\) | −1.68529e7 | − | 5.76294e6i | −0.844044 | − | 0.288626i | ||||
\(833\) | 4.36988e6 | + | 2.52295e6i | 0.218201 | + | 0.125978i | ||||
\(834\) | 1.94081e7 | + | 3.81301e6i | 0.966200 | + | 0.189825i | ||||
\(835\) | −1.23510e7 | + | 7.13084e6i | −0.613034 | + | 0.353936i | ||||
\(836\) | −2.14360e7 | + | 1.38891e6i | −1.06079 | + | 0.0687318i | ||||
\(837\) | −400053. | + | 902518.i | −0.0197380 | + | 0.0445289i | ||||
\(838\) | −1.41818e7 | + | 1.51305e7i | −0.697626 | + | 0.744290i | ||||
\(839\) | 9.33436e6 | + | 1.61676e7i | 0.457804 | + | 0.792940i | 0.998845 | − | 0.0480564i | \(-0.0153027\pi\) |
−0.541040 | + | 0.840997i | \(0.681969\pi\) | |||||||
\(840\) | −1.47330e7 | − | 1.91554e6i | −0.720434 | − | 0.0936686i | ||||
\(841\) | −1.02356e7 | + | 1.77286e7i | −0.499027 | + | 0.864339i | ||||
\(842\) | −8.82137e6 | − | 2.91193e7i | −0.428801 | − | 1.41547i | ||||
\(843\) | 2.87518e6 | − | 5.41458e6i | 0.139347 | − | 0.262419i | ||||
\(844\) | 8.10392e6 | + | 1.21480e7i | 0.391597 | + | 0.587015i | ||||
\(845\) | 3.35972e6i | 0.161868i | ||||||||
\(846\) | 1.59998e6 | + | 255808.i | 0.0768577 | + | 0.0122882i | ||||
\(847\) | − | 3.88521e7i | − | 1.86083i | ||||||
\(848\) | −2.77105e7 | + | 2.11973e7i | −1.32329 | + | 1.01226i | ||||
\(849\) | −4.47789e6 | + | 158824.i | −0.213208 | + | 0.00756220i | ||||
\(850\) | 1.18625e7 | − | 3.59360e6i | 0.563154 | − | 0.170601i | ||||
\(851\) | 6.30651e6 | − | 1.09232e7i | 0.298515 | − | 0.517042i | ||||
\(852\) | 3.51909e7 | − | 3.53643e6i | 1.66085 | − | 0.166904i | ||||
\(853\) | −1.47087e7 | − | 2.54762e7i | −0.692151 | − | 1.19884i | −0.971132 | − | 0.238545i | \(-0.923330\pi\) |
0.278980 | − | 0.960297i | \(-0.410004\pi\) | |||||||
\(854\) | −5.36754e6 | − | 5.03101e6i | −0.251843 | − | 0.236054i | ||||
\(855\) | −5.79372e6 | − | 8.56930e6i | −0.271046 | − | 0.400894i | ||||
\(856\) | 2.27081e7 | + | 1.86787e7i | 1.05924 | + | 0.871288i | ||||
\(857\) | 2.51109e6 | − | 1.44978e6i | 0.116791 | − | 0.0674295i | −0.440466 | − | 0.897769i | \(-0.645187\pi\) |
0.557258 | + | 0.830340i | \(0.311854\pi\) | |||||||
\(858\) | 3.16778e7 | − | 1.08364e7i | 1.46905 | − | 0.502537i | ||||
\(859\) | 1.24474e7 | + | 7.18653e6i | 0.575568 | + | 0.332305i | 0.759370 | − | 0.650659i | \(-0.225507\pi\) |
−0.183802 | + | 0.982963i | \(0.558840\pi\) | |||||||
\(860\) | 7.78287e6 | + | 3.84532e6i | 0.358834 | + | 0.177291i | ||||
\(861\) | −1.53205e7 | + | 9.58499e6i | −0.704314 | + | 0.440640i | ||||
\(862\) | −4.09665e7 | − | 9.56819e6i | −1.87785 | − | 0.438593i | ||||
\(863\) | 1.28520e7 | 0.587415 | 0.293707 | − | 0.955895i | \(-0.405111\pi\) | ||||
0.293707 | + | 0.955895i | \(0.405111\pi\) | |||||||
\(864\) | 1.89330e7 | − | 1.10911e7i | 0.862849 | − | 0.505462i | ||||
\(865\) | 2.42741e7 | 1.10307 | ||||||||
\(866\) | −2.61909e7 | − | 6.11717e6i | −1.18674 | − | 0.277176i | ||||
\(867\) | 2.81460e7 | − | 1.76090e7i | 1.27165 | − | 0.795584i | ||||
\(868\) | −888736. | − | 439102.i | −0.0400381 | − | 0.0197818i | ||||
\(869\) | −8.98048e6 | − | 5.18488e6i | −0.403413 | − | 0.232911i | ||||
\(870\) | 738538. | − | 252641.i | 0.0330807 | − | 0.0113163i | ||||
\(871\) | −2.70506e7 | + | 1.56177e7i | −1.20818 | + | 0.697544i | ||||
\(872\) | −2.43871e7 | − | 2.00598e7i | −1.08610 | − | 0.893378i | ||||
\(873\) | −3.81705e7 | + | 2.71112e6i | −1.69509 | + | 0.120396i | ||||
\(874\) | −4.49220e6 | − | 4.21056e6i | −0.198921 | − | 0.186449i | ||||
\(875\) | 1.12883e7 | + | 1.95518e7i | 0.498433 | + | 0.863311i | ||||
\(876\) | 9.20782e6 | − | 925318.i | 0.405412 | − | 0.0407409i | ||||
\(877\) | −7.87712e6 | + | 1.36436e7i | −0.345834 | + | 0.599003i | −0.985505 | − | 0.169646i | \(-0.945737\pi\) |
0.639671 | + | 0.768649i | \(0.279071\pi\) | |||||||
\(878\) | 9.42566e6 | − | 2.85540e6i | 0.412644 | − | 0.125006i | ||||
\(879\) | 2.79851e7 | − | 992594.i | 1.22167 | − | 0.0433311i | ||||
\(880\) | 2.51644e7 | − | 1.92496e7i | 1.09542 | − | 0.837945i | ||||
\(881\) | 2.21764e7i | 0.962614i | 0.876552 | + | 0.481307i | \(0.159838\pi\) | ||||
−0.876552 | + | 0.481307i | \(0.840162\pi\) | |||||||
\(882\) | −1.31431e6 | − | 3.43891e6i | −0.0568889 | − | 0.148850i | ||||
\(883\) | 1.26849e7i | 0.547503i | 0.961800 | + | 0.273751i | \(0.0882646\pi\) | ||||
−0.961800 | + | 0.273751i | \(0.911735\pi\) | |||||||
\(884\) | 1.81859e7 | + | 2.72612e7i | 0.782715 | + | 1.17331i | ||||
\(885\) | −3.44497e6 | + | 6.48761e6i | −0.147852 | + | 0.278437i | ||||
\(886\) | −1.35151e6 | − | 4.46134e6i | −0.0578410 | − | 0.190933i | ||||
\(887\) | −8.63224e6 | + | 1.49515e7i | −0.368395 | + | 0.638080i | −0.989315 | − | 0.145795i | \(-0.953426\pi\) |
0.620919 | + | 0.783874i | \(0.286759\pi\) | |||||||
\(888\) | −3.11636e7 | − | 4.05179e6i | −1.32622 | − | 0.172431i | ||||
\(889\) | −1.11954e7 | − | 1.93910e7i | −0.475101 | − | 0.822899i | ||||
\(890\) | 4.93149e6 | − | 5.26136e6i | 0.208691 | − | 0.222650i | ||||
\(891\) | −1.53673e7 | + | 3.82764e7i | −0.648491 | + | 1.61524i | ||||
\(892\) | 3.89117e6 | − | 252121.i | 0.163745 | − | 0.0106095i | ||||
\(893\) | −981020. | + | 566392.i | −0.0411670 | + | 0.0237678i | ||||
\(894\) | −2.77717e6 | − | 545618.i | −0.116214 | − | 0.0228320i | ||||
\(895\) | 6.51233e6 | + | 3.75990e6i | 0.271756 | + | 0.156898i | ||||
\(896\) | 1.03355e7 | + | 1.94586e7i | 0.430093 | + | 0.809734i | ||||
\(897\) | 8.47543e6 | + | 4.50052e6i | 0.351707 | + | 0.186759i | ||||
\(898\) | −3.97138e6 | + | 1.70036e7i | −0.164343 | + | 0.703640i | ||||
\(899\) | 52080.3 | 0.00214919 | ||||||||
\(900\) | −8.37115e6 | − | 3.42134e6i | −0.344492 | − | 0.140796i | ||||
\(901\) | 6.41911e7 | 2.63428 | ||||||||
\(902\) | 8.76514e6 | − | 3.75282e7i | 0.358709 | − | 1.53582i | ||||
\(903\) | −402248. | − | 1.13410e7i | −0.0164163 | − | 0.462840i | ||||
\(904\) | 5.80819e6 | + | 1.54846e7i | 0.236385 | + | 0.630202i | ||||
\(905\) | 2.50276e7 | + | 1.44497e7i | 1.01577 | + | 0.586457i | ||||
\(906\) | −4.40683e6 | + | 5.04896e6i | −0.178363 | + | 0.204353i | ||||
\(907\) | 2.58029e7 | − | 1.48973e7i | 1.04148 | − | 0.601299i | 0.121228 | − | 0.992625i | \(-0.461317\pi\) |
0.920252 | + | 0.391326i | \(0.127984\pi\) | |||||||
\(908\) | 264340. | + | 4.07975e6i | 0.0106402 | + | 0.164217i | ||||
\(909\) | 954654. | + | 1.34408e7i | 0.0383210 | + | 0.539530i | ||||
\(910\) | −1.10710e7 | + | 1.18115e7i | −0.443183 | + | 0.472828i | ||||
\(911\) | −8.63136e6 | − | 1.49500e7i | −0.344575 | − | 0.596821i | 0.640702 | − | 0.767790i | \(-0.278643\pi\) |
−0.985276 | + | 0.170969i | \(0.945310\pi\) | |||||||
\(912\) | −5.38593e6 | + | 1.43638e7i | −0.214424 | + | 0.571852i | ||||
\(913\) | 838642. | − | 1.45257e6i | 0.0332966 | − | 0.0576714i | ||||
\(914\) | −3.67765e6 | − | 1.21399e7i | −0.145615 | − | 0.480674i | ||||
\(915\) | 4.00684e6 | + | 6.40449e6i | 0.158216 | + | 0.252890i | ||||
\(916\) | −1.03497e7 | + | 6.90424e6i | −0.407556 | + | 0.271880i | ||||
\(917\) | 2.92865e7i | 1.15012i | ||||||||
\(918\) | −4.00664e7 | − | 4.95670e6i | −1.56918 | − | 0.194127i | ||||
\(919\) | 1.37259e7i | 0.536108i | 0.963404 | + | 0.268054i | \(0.0863806\pi\) | ||||
−0.963404 | + | 0.268054i | \(0.913619\pi\) | |||||||
\(920\) | 8.95811e6 | + | 1.48931e6i | 0.348937 | + | 0.0580116i | ||||
\(921\) | −9.39238e6 | − | 1.50127e7i | −0.364860 | − | 0.583188i | ||||
\(922\) | 2.44479e7 | − | 7.40621e6i | 0.947140 | − | 0.286925i | ||||
\(923\) | 1.92693e7 | − | 3.33755e7i | 0.744496 | − | 1.28951i | ||||
\(924\) | −3.77588e7 | − | 1.70182e7i | −1.45492 | − | 0.655743i | ||||
\(925\) | 6.47591e6 | + | 1.12166e7i | 0.248855 | + | 0.431030i | ||||
\(926\) | 3.52885e7 | + | 3.30760e7i | 1.35240 | + | 1.26761i | ||||
\(927\) | −2.31804e7 | + | 1.56723e7i | −0.885976 | + | 0.599010i | ||||
\(928\) | −939669. | − | 676017.i | −0.0358183 | − | 0.0257684i | ||||
\(929\) | 9.81951e6 | − | 5.66929e6i | 0.373293 | − | 0.215521i | −0.301603 | − | 0.953434i | \(-0.597522\pi\) |
0.674896 | + | 0.737913i | \(0.264188\pi\) | |||||||
\(930\) | 766919. | + | 669381.i | 0.0290765 | + | 0.0253785i | ||||
\(931\) | 2.22900e6 | + | 1.28691e6i | 0.0842821 | + | 0.0486603i | ||||
\(932\) | −2.08868e6 | + | 4.22746e6i | −0.0787648 | + | 0.159419i | ||||
\(933\) | −195051. | − | 5.49925e6i | −0.00733573 | − | 0.206823i | ||||
\(934\) | 4.22762e7 | + | 9.87408e6i | 1.58573 | + | 0.370365i | ||||
\(935\) | −5.82929e7 | −2.18065 | ||||||||
\(936\) | 2.24032e6 | − | 2.38042e7i | 0.0835833 | − | 0.888104i | ||||
\(937\) | −8.83186e6 | −0.328627 | −0.164314 | − | 0.986408i | \(-0.552541\pi\) | ||||
−0.164314 | + | 0.986408i | \(0.552541\pi\) | |||||||
\(938\) | 3.76273e7 | + | 8.78828e6i | 1.39636 | + | 0.326135i | ||||
\(939\) | −1.88302e6 | − | 999898.i | −0.0696933 | − | 0.0370077i | ||||
\(940\) | 740079. | − | 1.49791e6i | 0.0273186 | − | 0.0552925i | ||||
\(941\) | −4.30299e7 | − | 2.48433e7i | −1.58415 | − | 0.914609i | −0.994244 | − | 0.107137i | \(-0.965832\pi\) |
−0.589905 | − | 0.807472i | \(-0.700835\pi\) | |||||||
\(942\) | −8.69344e6 | + | 4.42493e7i | −0.319201 | + | 1.62472i | ||||
\(943\) | 9.56616e6 | − | 5.52302e6i | 0.350315 | − | 0.202254i | ||||
\(944\) | 1.08024e7 | − | 1.40575e6i | 0.394541 | − | 0.0513426i | ||||
\(945\) | −2.11728e6 | − | 1.98314e7i | −0.0771256 | − | 0.722392i | ||||
\(946\) | 1.76564e7 | + | 1.65494e7i | 0.641468 | + | 0.601250i | ||||
\(947\) | 1.37159e7 | + | 2.37566e7i | 0.496992 | + | 0.860816i | 0.999994 | − | 0.00346974i | \(-0.00110445\pi\) |
−0.503002 | + | 0.864285i | \(0.667771\pi\) | |||||||
\(948\) | −6.01094e6 | + | 4.32543e6i | −0.217231 | + | 0.156318i | ||||
\(949\) | 5.04188e6 | − | 8.73280e6i | 0.181730 | − | 0.314766i | ||||
\(950\) | 6.05083e6 | − | 1.83303e6i | 0.217523 | − | 0.0658963i | ||||
\(951\) | 5.14892e6 | − | 9.69650e6i | 0.184614 | − | 0.347667i | ||||
\(952\) | 6.64842e6 | − | 3.99899e7i | 0.237753 | − | 1.43007i | ||||
\(953\) | 1.18932e7i | 0.424195i | 0.977248 | + | 0.212098i | \(0.0680295\pi\) | ||||
−0.977248 | + | 0.212098i | \(0.931971\pi\) | |||||||
\(954\) | −3.63538e7 | − | 2.95268e7i | −1.29324 | − | 1.05038i | ||||
\(955\) | − | 1.15963e7i | − | 0.411443i | ||||||
\(956\) | −9.92909e6 | + | 6.62368e6i | −0.351370 | + | 0.234398i | ||||
\(957\) | 2.17457e6 | − | 77129.1i | 0.0767528 | − | 0.00272232i | ||||
\(958\) | −9.21682e6 | − | 3.04247e7i | −0.324465 | − | 1.07106i | ||||
\(959\) | −6.09778e6 | + | 1.05617e7i | −0.214104 | + | 0.370840i | ||||
\(960\) | −5.14853e6 | − | 2.20323e7i | −0.180304 | − | 0.771581i | ||||
\(961\) | −1.42806e7 | − | 2.47348e7i | −0.498814 | − | 0.863971i | ||||
\(962\) | −2.34176e7 | + | 2.49840e7i | −0.815838 | + | 0.870410i | ||||
\(963\) | −1.72640e7 | + | 3.54951e7i | −0.599897 | + | 1.23340i | ||||
\(964\) | −1.21225e6 | − | 1.87096e7i | −0.0420147 | − | 0.648443i | ||||
\(965\) | 3.49873e7 | − | 2.02000e7i | 1.20946 | − | 0.698284i | ||||
\(966\) | −3.84230e6 | − | 1.12321e7i | −0.132480 | − | 0.387273i | ||||
\(967\) | −4.04136e7 | − | 2.33328e7i | −1.38983 | − | 0.802419i | −0.396534 | − | 0.918020i | \(-0.629787\pi\) |
−0.993296 | + | 0.115602i | \(0.963120\pi\) | |||||||
\(968\) | 5.53990e7 | − | 2.07798e7i | 1.90026 | − | 0.712777i | ||||
\(969\) | 2.39278e7 | − | 1.49700e7i | 0.818641 | − | 0.512167i | ||||
\(970\) | −8.97446e6 | + | 3.84244e7i | −0.306252 | + | 1.31123i | ||||
\(971\) | −4.47524e7 | −1.52324 | −0.761620 | − | 0.648024i | \(-0.775595\pi\) | ||||
−0.761620 | + | 0.648024i | \(0.775595\pi\) | |||||||
\(972\) | 2.04111e7 | + | 2.12370e7i | 0.692948 | + | 0.720987i | ||||
\(973\) | −2.66612e7 | −0.902814 | ||||||||
\(974\) | −5.97152e6 | + | 2.55673e7i | −0.201692 | + | 0.863549i | ||||
\(975\) | −8.35380e6 | + | 5.22639e6i | −0.281432 | + | 0.176072i | ||||
\(976\) | 4.30289e6 | − | 1.03444e7i | 0.144589 | − | 0.347599i | ||||
\(977\) | 3.02324e7 | + | 1.74547e7i | 1.01330 | + | 0.585027i | 0.912155 | − | 0.409845i | \(-0.134417\pi\) |
0.101141 | + | 0.994872i | \(0.467751\pi\) | |||||||
\(978\) | −5.89245e6 | − | 1.72252e7i | −0.196992 | − | 0.575861i | ||||
\(979\) | 1.74093e7 | − | 1.00513e7i | 0.580531 | − | 0.335169i | ||||
\(980\) | −3.78824e6 | + | 245452.i | −0.126000 | + | 0.00816395i | ||||
\(981\) | 1.85406e7 | − | 3.81196e7i | 0.615107 | − | 1.26467i | ||||
\(982\) | 247622. | − | 264185.i | 0.00819427 | − | 0.00874238i | ||||
\(983\) | −2.11197e7 | − | 3.65804e7i | −0.697114 | − | 1.20744i | −0.969463 | − | 0.245238i | \(-0.921134\pi\) |
0.272349 | − | 0.962199i | \(-0.412199\pi\) | |||||||
\(984\) | −2.18613e7 | − | 1.67190e7i | −0.719761 | − | 0.550456i | ||||
\(985\) | −3.13290e6 | + | 5.42635e6i | −0.102886 | + | 0.178204i | ||||
\(986\) | 617492. | + | 2.03834e6i | 0.0202274 | + | 0.0667704i | ||||
\(987\) | −2.18271e6 | + | 77417.6i | −0.0713186 | + | 0.00252957i | ||||
\(988\) | 9.27629e6 | + | 1.39054e7i | 0.302330 | + | 0.453202i | ||||
\(989\) | 6.93630e6i | 0.225495i | ||||||||
\(990\) | 3.30135e7 | + | 2.68137e7i | 1.07054 | + | 0.869500i | ||||
\(991\) | − | 1.67399e7i | − | 0.541463i | −0.962655 | − | 0.270732i | \(-0.912734\pi\) | ||
0.962655 | − | 0.270732i | \(-0.0872656\pi\) | |||||||
\(992\) | 150777. | − | 1.50210e6i | 0.00486470 | − | 0.0484639i | ||||
\(993\) | 1.02249e7 | − | 1.92556e7i | 0.329068 | − | 0.619704i | ||||
\(994\) | −4.56269e7 | + | 1.38222e7i | −1.46472 | + | 0.443721i | ||||
\(995\) | 1.25813e7 | − | 2.17914e7i | 0.402873 | − | 0.697796i | ||||
\(996\) | −699628. | − | 972254.i | −0.0223470 | − | 0.0310550i | ||||
\(997\) | −1.66678e7 | − | 2.88695e7i | −0.531056 | − | 0.919816i | −0.999343 | − | 0.0362393i | \(-0.988462\pi\) |
0.468287 | − | 0.883576i | \(-0.344871\pi\) | |||||||
\(998\) | −1.90059e7 | − | 1.78143e7i | −0.604034 | − | 0.566163i | ||||
\(999\) | −4.47850e6 | − | 4.19476e7i | −0.141977 | − | 1.32982i |
(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 | 36.6.h.a.23.2 | yes | 56 | |
3.2 | odd | 2 | 108.6.h.a.71.27 | 56 | |||
4.3 | odd | 2 | inner | 36.6.h.a.23.13 | yes | 56 | |
9.2 | odd | 6 | inner | 36.6.h.a.11.13 | yes | 56 | |
9.7 | even | 3 | 108.6.h.a.35.16 | 56 | |||
12.11 | even | 2 | 108.6.h.a.71.16 | 56 | |||
36.7 | odd | 6 | 108.6.h.a.35.27 | 56 | |||
36.11 | even | 6 | inner | 36.6.h.a.11.2 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.6.h.a.11.2 | ✓ | 56 | 36.11 | even | 6 | inner | |
36.6.h.a.11.13 | yes | 56 | 9.2 | odd | 6 | inner | |
36.6.h.a.23.2 | yes | 56 | 1.1 | even | 1 | trivial | |
36.6.h.a.23.13 | yes | 56 | 4.3 | odd | 2 | inner | |
108.6.h.a.35.16 | 56 | 9.7 | even | 3 | |||
108.6.h.a.35.27 | 56 | 36.7 | odd | 6 | |||
108.6.h.a.71.16 | 56 | 12.11 | even | 2 | |||
108.6.h.a.71.27 | 56 | 3.2 | odd | 2 |