Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,6,Mod(3,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.s (of order \(4\), 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: | \(12.8307055850\) |
Analytic rank: | \(0\) |
Dimension: | \(116\) |
Relative dimension: | \(58\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.9 | ||
Character | \(\chi\) | \(=\) | 80.3 |
Dual form | 80.6.s.a.27.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.99964 | + | 2.64643i | −0.883820 | + | 0.467827i | ||||
\(3\) | −25.1055 | −1.61052 | −0.805259 | − | 0.592923i | \(-0.797974\pi\) | ||||
−0.805259 | + | 0.592923i | \(0.797974\pi\) | |||||||
\(4\) | 17.9928 | − | 26.4624i | 0.562277 | − | 0.826949i | ||||
\(5\) | −17.6043 | + | 53.0574i | −0.314916 | + | 0.949120i | ||||
\(6\) | 125.519 | − | 66.4399i | 1.42341 | − | 0.753443i | ||||
\(7\) | 92.6452 | − | 92.6452i | 0.714624 | − | 0.714624i | −0.252875 | − | 0.967499i | \(-0.581376\pi\) |
0.967499 | + | 0.252875i | \(0.0813760\pi\) | |||||||
\(8\) | −19.9271 | + | 179.919i | −0.110083 | + | 0.993922i | ||||
\(9\) | 387.286 | 1.59377 | ||||||||
\(10\) | −52.3971 | − | 311.857i | −0.165694 | − | 0.986177i | ||||
\(11\) | 482.653 | + | 482.653i | 1.20269 | + | 1.20269i | 0.973345 | + | 0.229344i | \(0.0736582\pi\) |
0.229344 | + | 0.973345i | \(0.426342\pi\) | |||||||
\(12\) | −451.719 | + | 664.351i | −0.905557 | + | 1.33182i | ||||
\(13\) | − | 671.517i | − | 1.10204i | −0.834491 | − | 0.551022i | \(-0.814238\pi\) | ||
0.834491 | − | 0.551022i | \(-0.185762\pi\) | |||||||
\(14\) | −218.014 | + | 708.372i | −0.297279 | + | 0.965920i | ||||
\(15\) | 441.966 | − | 1332.03i | 0.507178 | − | 1.52857i | ||||
\(16\) | −376.515 | − | 952.267i | −0.367690 | − | 0.929948i | ||||
\(17\) | −1000.38 | + | 1000.38i | −0.839545 | + | 0.839545i | −0.988799 | − | 0.149254i | \(-0.952313\pi\) |
0.149254 | + | 0.988799i | \(0.452313\pi\) | |||||||
\(18\) | −1936.29 | + | 1024.92i | −1.40861 | + | 0.745608i | ||||
\(19\) | 865.564 | + | 865.564i | 0.550066 | + | 0.550066i | 0.926460 | − | 0.376394i | \(-0.122836\pi\) |
−0.376394 | + | 0.926460i | \(0.622836\pi\) | |||||||
\(20\) | 1087.27 | + | 1420.51i | 0.607804 | + | 0.794087i | ||||
\(21\) | −2325.90 | + | 2325.90i | −1.15092 | + | 1.15092i | ||||
\(22\) | −3690.40 | − | 1135.79i | −1.62561 | − | 0.500311i | ||||
\(23\) | −1455.06 | − | 1455.06i | −0.573537 | − | 0.573537i | 0.359578 | − | 0.933115i | \(-0.382921\pi\) |
−0.933115 | + | 0.359578i | \(0.882921\pi\) | |||||||
\(24\) | 500.279 | − | 4516.96i | 0.177290 | − | 1.60073i | ||||
\(25\) | −2505.17 | − | 1868.08i | −0.801656 | − | 0.597786i | ||||
\(26\) | 1777.12 | + | 3357.35i | 0.515565 | + | 0.974008i | ||||
\(27\) | −3622.38 | −0.956278 | ||||||||
\(28\) | −784.661 | − | 4118.56i | −0.189142 | − | 0.992775i | ||||
\(29\) | −2099.15 | + | 2099.15i | −0.463498 | + | 0.463498i | −0.899800 | − | 0.436302i | \(-0.856288\pi\) |
0.436302 | + | 0.899800i | \(0.356288\pi\) | |||||||
\(30\) | 1315.46 | + | 7829.32i | 0.266854 | + | 1.58826i | ||||
\(31\) | − | 770.875i | − | 0.144072i | −0.997402 | − | 0.0720360i | \(-0.977050\pi\) | ||
0.997402 | − | 0.0720360i | \(-0.0229497\pi\) | |||||||
\(32\) | 4402.54 | + | 3764.58i | 0.760027 | + | 0.649892i | ||||
\(33\) | −12117.3 | − | 12117.3i | −1.93695 | − | 1.93695i | ||||
\(34\) | 2354.12 | − | 7649.00i | 0.349246 | − | 1.13477i | ||||
\(35\) | 3284.56 | + | 6546.47i | 0.453217 | + | 0.903311i | ||||
\(36\) | 6968.38 | − | 10248.5i | 0.896140 | − | 1.31797i | ||||
\(37\) | 2437.11i | 0.292665i | 0.989235 | + | 0.146333i | \(0.0467470\pi\) | ||||
−0.989235 | + | 0.146333i | \(0.953253\pi\) | |||||||
\(38\) | −6618.16 | − | 2036.86i | −0.743495 | − | 0.228824i | ||||
\(39\) | 16858.8i | 1.77486i | ||||||||
\(40\) | −9195.24 | − | 4224.64i | −0.908685 | − | 0.417483i | ||||
\(41\) | − | 6655.36i | − | 0.618318i | −0.951010 | − | 0.309159i | \(-0.899952\pi\) | ||
0.951010 | − | 0.309159i | \(-0.100048\pi\) | |||||||
\(42\) | 5473.35 | − | 17784.0i | 0.478774 | − | 1.55563i | ||||
\(43\) | 23688.4i | 1.95373i | 0.213862 | + | 0.976864i | \(0.431396\pi\) | ||||
−0.213862 | + | 0.976864i | \(0.568604\pi\) | |||||||
\(44\) | 21456.5 | − | 4087.85i | 1.67081 | − | 0.318319i | ||||
\(45\) | −6817.92 | + | 20548.4i | −0.501904 | + | 1.51268i | ||||
\(46\) | 11125.5 | + | 3424.07i | 0.775220 | + | 0.238588i | ||||
\(47\) | 5228.89 | + | 5228.89i | 0.345275 | + | 0.345275i | 0.858346 | − | 0.513071i | \(-0.171492\pi\) |
−0.513071 | + | 0.858346i | \(0.671492\pi\) | |||||||
\(48\) | 9452.59 | + | 23907.1i | 0.592172 | + | 1.49770i | ||||
\(49\) | − | 359.269i | − | 0.0213761i | ||||||
\(50\) | 17468.7 | + | 2709.97i | 0.988180 | + | 0.153299i | ||||
\(51\) | 25115.1 | − | 25115.1i | 1.35210 | − | 1.35210i | ||||
\(52\) | −17769.9 | − | 12082.5i | −0.911334 | − | 0.619653i | ||||
\(53\) | −26072.6 | −1.27495 | −0.637477 | − | 0.770470i | \(-0.720022\pi\) | ||||
−0.637477 | + | 0.770470i | \(0.720022\pi\) | |||||||
\(54\) | 18110.6 | − | 9586.36i | 0.845178 | − | 0.447372i | ||||
\(55\) | −34105.1 | + | 17111.5i | −1.52024 | + | 0.762750i | ||||
\(56\) | 14822.5 | + | 18514.8i | 0.631614 | + | 0.788949i | ||||
\(57\) | −21730.4 | − | 21730.4i | −0.885892 | − | 0.885892i | ||||
\(58\) | 4939.75 | − | 16050.2i | 0.192812 | − | 0.626486i | ||||
\(59\) | 11299.2 | − | 11299.2i | 0.422588 | − | 0.422588i | −0.463506 | − | 0.886094i | \(-0.653409\pi\) |
0.886094 | + | 0.463506i | \(0.153409\pi\) | |||||||
\(60\) | −27296.5 | − | 35662.5i | −0.978880 | − | 1.27889i | ||||
\(61\) | −8005.46 | − | 8005.46i | −0.275462 | − | 0.275462i | 0.555832 | − | 0.831294i | \(-0.312400\pi\) |
−0.831294 | + | 0.555832i | \(0.812400\pi\) | |||||||
\(62\) | 2040.06 | + | 3854.10i | 0.0674007 | + | 0.127334i | ||||
\(63\) | 35880.2 | − | 35880.2i | 1.13895 | − | 1.13895i | ||||
\(64\) | −31973.8 | − | 7170.52i | −0.975764 | − | 0.218827i | ||||
\(65\) | 35628.9 | + | 11821.6i | 1.04597 | + | 0.347051i | ||||
\(66\) | 92649.4 | + | 28514.5i | 2.61808 | + | 0.805761i | ||||
\(67\) | − | 3184.75i | − | 0.0866739i | −0.999061 | − | 0.0433370i | \(-0.986201\pi\) | ||
0.999061 | − | 0.0433370i | \(-0.0137989\pi\) | |||||||
\(68\) | 8472.77 | + | 44472.3i | 0.222205 | + | 1.16632i | ||||
\(69\) | 36530.0 | + | 36530.0i | 0.923693 | + | 0.923693i | ||||
\(70\) | −33746.4 | − | 24037.7i | −0.823155 | − | 0.586337i | ||||
\(71\) | −81684.8 | −1.92307 | −0.961536 | − | 0.274680i | \(-0.911428\pi\) | ||||
−0.961536 | + | 0.274680i | \(0.911428\pi\) | |||||||
\(72\) | −7717.48 | + | 69680.2i | −0.175446 | + | 1.58408i | ||||
\(73\) | 7753.75 | − | 7753.75i | 0.170296 | − | 0.170296i | −0.616813 | − | 0.787109i | \(-0.711577\pi\) |
0.787109 | + | 0.616813i | \(0.211577\pi\) | |||||||
\(74\) | −6449.64 | − | 12184.7i | −0.136917 | − | 0.258664i | ||||
\(75\) | 62893.7 | + | 46899.1i | 1.29108 | + | 0.962745i | ||||
\(76\) | 38478.8 | − | 7330.92i | 0.764166 | − | 0.145588i | ||||
\(77\) | 89431.0 | 1.71894 | ||||||||
\(78\) | −44615.5 | − | 84287.8i | −0.830327 | − | 1.56866i | ||||
\(79\) | 45940.1 | 0.828178 | 0.414089 | − | 0.910236i | \(-0.364100\pi\) | ||||
0.414089 | + | 0.910236i | \(0.364100\pi\) | |||||||
\(80\) | 57153.1 | − | 3212.86i | 0.998424 | − | 0.0561264i | ||||
\(81\) | −3168.95 | −0.0536665 | ||||||||
\(82\) | 17612.9 | + | 33274.4i | 0.289266 | + | 0.546482i | ||||
\(83\) | −76566.0 | −1.21995 | −0.609973 | − | 0.792422i | \(-0.708820\pi\) | ||||
−0.609973 | + | 0.792422i | \(0.708820\pi\) | |||||||
\(84\) | 19699.3 | + | 103399.i | 0.304616 | + | 1.59888i | ||||
\(85\) | −35466.6 | − | 70688.8i | −0.532443 | − | 1.06122i | ||||
\(86\) | −62689.5 | − | 118433.i | −0.914006 | − | 1.72674i | ||||
\(87\) | 52700.2 | − | 52700.2i | 0.746473 | − | 0.746473i | ||||
\(88\) | −96456.5 | + | 77220.7i | −1.32778 | + | 1.06299i | ||||
\(89\) | −116308. | −1.55645 | −0.778224 | − | 0.627986i | \(-0.783879\pi\) | ||||
−0.778224 | + | 0.627986i | \(0.783879\pi\) | |||||||
\(90\) | −20292.7 | − | 120778.i | −0.264079 | − | 1.57174i | ||||
\(91\) | −62212.8 | − | 62212.8i | −0.787547 | − | 0.787547i | ||||
\(92\) | −64685.1 | + | 12323.7i | −0.796773 | + | 0.151800i | ||||
\(93\) | 19353.2i | 0.232031i | ||||||||
\(94\) | −39980.5 | − | 12304.7i | −0.466690 | − | 0.143632i | ||||
\(95\) | −61162.2 | + | 30686.9i | −0.695303 | + | 0.348854i | ||||
\(96\) | −110528. | − | 94511.6i | −1.22404 | − | 1.04666i | ||||
\(97\) | −50590.4 | + | 50590.4i | −0.545932 | + | 0.545932i | −0.925262 | − | 0.379329i | \(-0.876155\pi\) |
0.379329 | + | 0.925262i | \(0.376155\pi\) | |||||||
\(98\) | 950.778 | + | 1796.21i | 0.0100003 | + | 0.0188927i | ||||
\(99\) | 186925. | + | 186925.i | 1.91681 | + | 1.91681i | ||||
\(100\) | −94509.1 | + | 32680.8i | −0.945091 | + | 0.326808i | ||||
\(101\) | −69613.2 | + | 69613.2i | −0.679029 | + | 0.679029i | −0.959781 | − | 0.280751i | \(-0.909416\pi\) |
0.280751 | + | 0.959781i | \(0.409416\pi\) | |||||||
\(102\) | −59101.3 | + | 192032.i | −0.562466 | + | 1.82757i | ||||
\(103\) | −58748.3 | − | 58748.3i | −0.545635 | − | 0.545635i | 0.379540 | − | 0.925175i | \(-0.376082\pi\) |
−0.925175 | + | 0.379540i | \(0.876082\pi\) | |||||||
\(104\) | 120819. | + | 13381.4i | 1.09535 | + | 0.121316i | ||||
\(105\) | −82460.4 | − | 164352.i | −0.729915 | − | 1.45480i | ||||
\(106\) | 130354. | − | 68999.2i | 1.12683 | − | 0.596457i | ||||
\(107\) | 119609. | 1.00996 | 0.504980 | − | 0.863131i | \(-0.331500\pi\) | ||||
0.504980 | + | 0.863131i | \(0.331500\pi\) | |||||||
\(108\) | −65176.9 | + | 95856.7i | −0.537693 | + | 0.790794i | ||||
\(109\) | −103725. | + | 103725.i | −0.836214 | + | 0.836214i | −0.988358 | − | 0.152144i | \(-0.951382\pi\) |
0.152144 | + | 0.988358i | \(0.451382\pi\) | |||||||
\(110\) | 125229. | − | 175808.i | 0.986786 | − | 1.38534i | ||||
\(111\) | − | 61185.0i | − | 0.471343i | ||||||
\(112\) | −123105. | − | 53340.7i | −0.927324 | − | 0.401803i | ||||
\(113\) | −40203.4 | − | 40203.4i | −0.296188 | − | 0.296188i | 0.543331 | − | 0.839519i | \(-0.317163\pi\) |
−0.839519 | + | 0.543331i | \(0.817163\pi\) | |||||||
\(114\) | 166152. | + | 51136.3i | 1.19741 | + | 0.368525i | ||||
\(115\) | 102817. | − | 51586.4i | 0.724972 | − | 0.363740i | ||||
\(116\) | 17778.8 | + | 93318.2i | 0.122675 | + | 0.643904i | ||||
\(117\) | − | 260069.i | − | 1.75640i | ||||||
\(118\) | −26589.4 | + | 86394.4i | −0.175794 | + | 0.571190i | ||||
\(119\) | 185361.i | 1.19992i | ||||||||
\(120\) | 230851. | + | 106062.i | 1.46345 | + | 0.672365i | ||||
\(121\) | 304858.i | 1.89293i | ||||||||
\(122\) | 61210.3 | + | 18838.6i | 0.372327 | + | 0.114590i | ||||
\(123\) | 167086.i | 0.995813i | ||||||||
\(124\) | −20399.2 | − | 13870.2i | −0.119140 | − | 0.0810083i | ||||
\(125\) | 143217. | − | 100032.i | 0.819824 | − | 0.572615i | ||||
\(126\) | −84433.9 | + | 274343.i | −0.473795 | + | 1.53945i | ||||
\(127\) | 77147.2 | + | 77147.2i | 0.424435 | + | 0.424435i | 0.886727 | − | 0.462293i | \(-0.152973\pi\) |
−0.462293 | + | 0.886727i | \(0.652973\pi\) | |||||||
\(128\) | 178834. | − | 48766.3i | 0.964773 | − | 0.263084i | ||||
\(129\) | − | 594708.i | − | 3.14651i | ||||||
\(130\) | −209417. | + | 35185.6i | −1.08681 | + | 0.182602i | ||||
\(131\) | 52748.3 | − | 52748.3i | 0.268553 | − | 0.268553i | −0.559964 | − | 0.828517i | \(-0.689185\pi\) |
0.828517 | + | 0.559964i | \(0.189185\pi\) | |||||||
\(132\) | −538675. | + | 102627.i | −2.69087 | + | 0.512659i | ||||
\(133\) | 160381. | 0.786182 | ||||||||
\(134\) | 8428.21 | + | 15922.6i | 0.0405484 | + | 0.0766042i | ||||
\(135\) | 63769.5 | − | 192194.i | 0.301147 | − | 0.907622i | ||||
\(136\) | −160053. | − | 199923.i | −0.742024 | − | 0.926862i | ||||
\(137\) | 280215. | + | 280215.i | 1.27553 | + | 1.27553i | 0.943145 | + | 0.332382i | \(0.107852\pi\) |
0.332382 | + | 0.943145i | \(0.392148\pi\) | |||||||
\(138\) | −279311. | − | 85963.1i | −1.24851 | − | 0.384250i | ||||
\(139\) | −131444. | + | 131444.i | −0.577036 | + | 0.577036i | −0.934085 | − | 0.357050i | \(-0.883783\pi\) |
0.357050 | + | 0.934085i | \(0.383783\pi\) | |||||||
\(140\) | 232334. | + | 30872.5i | 1.00183 | + | 0.133123i | ||||
\(141\) | −131274. | − | 131274.i | −0.556072 | − | 0.556072i | ||||
\(142\) | 408395. | − | 216173.i | 1.69965 | − | 0.899664i | ||||
\(143\) | 324110. | − | 324110.i | 1.32542 | − | 1.32542i | ||||
\(144\) | −145819. | − | 368800.i | −0.586014 | − | 1.48212i | ||||
\(145\) | −74421.3 | − | 148330.i | −0.293952 | − | 0.585879i | ||||
\(146\) | −18246.3 | + | 59285.7i | −0.0708421 | + | 0.230180i | ||||
\(147\) | 9019.62i | 0.0344266i | ||||||||
\(148\) | 64491.8 | + | 43850.6i | 0.242020 | + | 0.164559i | ||||
\(149\) | −35800.1 | − | 35800.1i | −0.132105 | − | 0.132105i | 0.637962 | − | 0.770067i | \(-0.279777\pi\) |
−0.770067 | + | 0.637962i | \(0.779777\pi\) | |||||||
\(150\) | −438561. | − | 68035.2i | −1.59148 | − | 0.246891i | ||||
\(151\) | 387107. | 1.38162 | 0.690810 | − | 0.723037i | \(-0.257254\pi\) | ||||
0.690810 | + | 0.723037i | \(0.257254\pi\) | |||||||
\(152\) | −172980. | + | 138483.i | −0.607276 | + | 0.486171i | ||||
\(153\) | −387435. | + | 387435.i | −1.33804 | + | 1.33804i | ||||
\(154\) | −447123. | + | 236673.i | −1.51924 | + | 0.804167i | ||||
\(155\) | 40900.6 | + | 13570.7i | 0.136742 | + | 0.0453706i | ||||
\(156\) | 446123. | + | 303337.i | 1.46772 | + | 0.997963i | ||||
\(157\) | −184722. | −0.598094 | −0.299047 | − | 0.954238i | \(-0.596669\pi\) | ||||
−0.299047 | + | 0.954238i | \(0.596669\pi\) | |||||||
\(158\) | −229684. | + | 121577.i | −0.731961 | + | 0.387444i | ||||
\(159\) | 654565. | 2.05334 | ||||||||
\(160\) | −277242. | + | 167315.i | −0.856170 | + | 0.516695i | ||||
\(161\) | −269609. | −0.819728 | ||||||||
\(162\) | 15843.6 | − | 8386.40i | 0.0474315 | − | 0.0251066i | ||||
\(163\) | −581645. | −1.71470 | −0.857351 | − | 0.514732i | \(-0.827892\pi\) | ||||
−0.857351 | + | 0.514732i | \(0.827892\pi\) | |||||||
\(164\) | −176117. | − | 119749.i | −0.511318 | − | 0.347666i | ||||
\(165\) | 856226. | − | 429594.i | 2.44838 | − | 1.22842i | ||||
\(166\) | 382803. | − | 202626.i | 1.07821 | − | 0.570724i | ||||
\(167\) | 23980.1 | − | 23980.1i | 0.0665364 | − | 0.0665364i | −0.673056 | − | 0.739592i | \(-0.735019\pi\) |
0.739592 | + | 0.673056i | \(0.235019\pi\) | |||||||
\(168\) | −372126. | − | 464823.i | −1.01723 | − | 1.27062i | ||||
\(169\) | −79642.2 | −0.214500 | ||||||||
\(170\) | 364393. | + | 259559.i | 0.967048 | + | 0.688833i | ||||
\(171\) | 335221. | + | 335221.i | 0.876679 | + | 0.876679i | ||||
\(172\) | 626851. | + | 426221.i | 1.61563 | + | 1.09854i | ||||
\(173\) | − | 261526.i | − | 0.664353i | −0.943217 | − | 0.332176i | \(-0.892217\pi\) | ||
0.943217 | − | 0.332176i | \(-0.107783\pi\) | |||||||
\(174\) | −124015. | + | 402949.i | −0.310528 | + | 1.00897i | ||||
\(175\) | −405161. | + | 59023.7i | −1.00008 | + | 0.145691i | ||||
\(176\) | 277889. | − | 641341.i | 0.676222 | − | 1.56066i | ||||
\(177\) | −283672. | + | 283672.i | −0.680586 | + | 0.680586i | ||||
\(178\) | 581499. | − | 307801.i | 1.37562 | − | 0.728148i | ||||
\(179\) | 264737. | + | 264737.i | 0.617564 | + | 0.617564i | 0.944906 | − | 0.327342i | \(-0.106153\pi\) |
−0.327342 | + | 0.944906i | \(0.606153\pi\) | |||||||
\(180\) | 421086. | + | 550142.i | 0.968700 | + | 1.26559i | ||||
\(181\) | 26818.5 | − | 26818.5i | 0.0608469 | − | 0.0608469i | −0.676029 | − | 0.736875i | \(-0.736300\pi\) |
0.736875 | + | 0.676029i | \(0.236300\pi\) | |||||||
\(182\) | 475684. | + | 146400.i | 1.06449 | + | 0.327615i | ||||
\(183\) | 200981. | + | 200981.i | 0.443637 | + | 0.443637i | ||||
\(184\) | 290789. | − | 232798.i | 0.633188 | − | 0.506915i | ||||
\(185\) | −129307. | − | 42903.8i | −0.277775 | − | 0.0921650i | ||||
\(186\) | −51216.8 | − | 96759.1i | −0.108550 | − | 0.205073i | ||||
\(187\) | −965677. | −2.01943 | ||||||||
\(188\) | 232452. | − | 44286.3i | 0.479665 | − | 0.0913849i | ||||
\(189\) | −335596. | + | 335596.i | −0.683380 | + | 0.683380i | ||||
\(190\) | 224579. | − | 315285.i | 0.451320 | − | 0.633606i | ||||
\(191\) | − | 366189.i | − | 0.726310i | −0.931729 | − | 0.363155i | \(-0.881700\pi\) | ||
0.931729 | − | 0.363155i | \(-0.118300\pi\) | |||||||
\(192\) | 802719. | + | 180020.i | 1.57149 | + | 0.352425i | ||||
\(193\) | 266658. | + | 266658.i | 0.515302 | + | 0.515302i | 0.916146 | − | 0.400845i | \(-0.131283\pi\) |
−0.400845 | + | 0.916146i | \(0.631283\pi\) | |||||||
\(194\) | 119050. | − | 386818.i | 0.227104 | − | 0.737908i | ||||
\(195\) | −894483. | − | 296788.i | −1.68456 | − | 0.558932i | ||||
\(196\) | −9507.10 | − | 6464.26i | −0.0176770 | − | 0.0120193i | ||||
\(197\) | 965894.i | 1.77323i | 0.462513 | + | 0.886613i | \(0.346948\pi\) | ||||
−0.462513 | + | 0.886613i | \(0.653052\pi\) | |||||||
\(198\) | −1.42924e6 | − | 439875.i | −2.59085 | − | 0.797381i | ||||
\(199\) | − | 656094.i | − | 1.17445i | −0.809425 | − | 0.587224i | \(-0.800221\pi\) | ||
0.809425 | − | 0.587224i | \(-0.199779\pi\) | |||||||
\(200\) | 386024. | − | 413504.i | 0.682401 | − | 0.730978i | ||||
\(201\) | 79954.8i | 0.139590i | ||||||||
\(202\) | 163815. | − | 532268.i | 0.282472 | − | 0.917808i | ||||
\(203\) | 388952.i | 0.662455i | ||||||||
\(204\) | −212713. | − | 1.11650e6i | −0.357865 | − | 1.87838i | ||||
\(205\) | 353116. | + | 117163.i | 0.586858 | + | 0.194718i | ||||
\(206\) | 449194. | + | 138247.i | 0.737506 | + | 0.226981i | ||||
\(207\) | −563525. | − | 563525.i | −0.914087 | − | 0.914087i | ||||
\(208\) | −639464. | + | 252836.i | −1.02484 | + | 0.405211i | ||||
\(209\) | 835534.i | 1.32312i | ||||||||
\(210\) | 847219. | + | 603478.i | 1.32571 | + | 0.944307i | ||||
\(211\) | −410221. | + | 410221.i | −0.634326 | + | 0.634326i | −0.949150 | − | 0.314824i | \(-0.898054\pi\) |
0.314824 | + | 0.949150i | \(0.398054\pi\) | |||||||
\(212\) | −469120. | + | 689943.i | −0.716877 | + | 1.05432i | ||||
\(213\) | 2.05074e6 | 3.09714 | ||||||||
\(214\) | −598002. | + | 316536.i | −0.892623 | + | 0.472486i | ||||
\(215\) | −1.25684e6 | − | 417018.i | −1.85432 | − | 0.615260i | ||||
\(216\) | 72183.3 | − | 651735.i | 0.105270 | − | 0.950466i | ||||
\(217\) | −71417.9 | − | 71417.9i | −0.102957 | − | 0.102957i | ||||
\(218\) | 244087. | − | 793089.i | 0.347860 | − | 1.13027i | ||||
\(219\) | −194662. | + | 194662.i | −0.274265 | + | 0.274265i | ||||
\(220\) | −160836. | + | 1.21039e6i | −0.224041 | + | 1.68604i | ||||
\(221\) | 671774. | + | 671774.i | 0.925215 | + | 0.925215i | ||||
\(222\) | 161922. | + | 305903.i | 0.220507 | + | 0.416583i | ||||
\(223\) | 31988.3 | − | 31988.3i | 0.0430754 | − | 0.0430754i | −0.685241 | − | 0.728316i | \(-0.740303\pi\) |
0.728316 | + | 0.685241i | \(0.240303\pi\) | |||||||
\(224\) | 756645. | − | 59104.7i | 1.00756 | − | 0.0787049i | ||||
\(225\) | −970220. | − | 723482.i | −1.27766 | − | 0.952733i | ||||
\(226\) | 307398. | + | 94607.3i | 0.400341 | + | 0.123212i | ||||
\(227\) | − | 231846.i | − | 0.298630i | −0.988790 | − | 0.149315i | \(-0.952293\pi\) | ||
0.988790 | − | 0.149315i | \(-0.0477069\pi\) | |||||||
\(228\) | −966030. | + | 184046.i | −1.23070 | + | 0.234471i | ||||
\(229\) | 42412.5 | + | 42412.5i | 0.0534448 | + | 0.0534448i | 0.733324 | − | 0.679879i | \(-0.237968\pi\) |
−0.679879 | + | 0.733324i | \(0.737968\pi\) | |||||||
\(230\) | −377529. | + | 530012.i | −0.470578 | + | 0.660641i | ||||
\(231\) | −2.24521e6 | −2.76839 | ||||||||
\(232\) | −335847. | − | 419507.i | −0.409658 | − | 0.511705i | ||||
\(233\) | −511086. | + | 511086.i | −0.616743 | + | 0.616743i | −0.944695 | − | 0.327951i | \(-0.893642\pi\) |
0.327951 | + | 0.944695i | \(0.393642\pi\) | |||||||
\(234\) | 688254. | + | 1.30025e6i | 0.821693 | + | 1.55235i | ||||
\(235\) | −369483. | + | 185380.i | −0.436440 | + | 0.218975i | ||||
\(236\) | −95698.8 | − | 502308.i | −0.111848 | − | 0.587070i | ||||
\(237\) | −1.15335e6 | −1.33380 | ||||||||
\(238\) | −490545. | − | 926741.i | −0.561354 | − | 1.06051i | ||||
\(239\) | −948373. | −1.07395 | −0.536976 | − | 0.843598i | \(-0.680433\pi\) | ||||
−0.536976 | + | 0.843598i | \(0.680433\pi\) | |||||||
\(240\) | −1.43486e6 | + | 80660.6i | −1.60798 | + | 0.0903926i | ||||
\(241\) | −1.24537e6 | −1.38120 | −0.690598 | − | 0.723238i | \(-0.742653\pi\) | ||||
−0.690598 | + | 0.723238i | \(0.742653\pi\) | |||||||
\(242\) | −806783. | − | 1.52418e6i | −0.885561 | − | 1.67301i | ||||
\(243\) | 959796. | 1.04271 | ||||||||
\(244\) | −355885. | + | 67802.5i | −0.382679 | + | 0.0729073i | ||||
\(245\) | 19061.9 | + | 6324.68i | 0.0202885 | + | 0.00673168i | ||||
\(246\) | −442181. | − | 835371.i | −0.465868 | − | 0.880120i | ||||
\(247\) | 581241. | − | 581241.i | 0.606197 | − | 0.606197i | ||||
\(248\) | 138695. | + | 15361.3i | 0.143196 | + | 0.0158598i | ||||
\(249\) | 1.92223e6 | 1.96475 | ||||||||
\(250\) | −451309. | + | 879137.i | −0.456693 | + | 0.889624i | ||||
\(251\) | 213309. | + | 213309.i | 0.213710 | + | 0.213710i | 0.805841 | − | 0.592131i | \(-0.201713\pi\) |
−0.592131 | + | 0.805841i | \(0.701713\pi\) | |||||||
\(252\) | −303888. | − | 1.59506e6i | −0.301448 | − | 1.58225i | ||||
\(253\) | − | 1.40458e6i | − | 1.37958i | ||||||
\(254\) | −589873. | − | 181544.i | −0.573686 | − | 0.176562i | ||||
\(255\) | 890408. | + | 1.77468e6i | 0.857509 | + | 1.70911i | ||||
\(256\) | −765049. | + | 717085.i | −0.729608 | + | 0.683866i | ||||
\(257\) | 1.15322e6 | − | 1.15322e6i | 1.08913 | − | 1.08913i | 0.0935136 | − | 0.995618i | \(-0.470190\pi\) |
0.995618 | − | 0.0935136i | \(-0.0298099\pi\) | |||||||
\(258\) | 1.57385e6 | + | 2.97333e6i | 1.47202 | + | 2.78095i | ||||
\(259\) | 225787. | + | 225787.i | 0.209146 | + | 0.209146i | ||||
\(260\) | 953894. | − | 730122.i | 0.875119 | − | 0.669826i | ||||
\(261\) | −812972. | + | 812972.i | −0.738710 | + | 0.738710i | ||||
\(262\) | −124128. | + | 403317.i | −0.111716 | + | 0.362989i | ||||
\(263\) | 256503. | + | 256503.i | 0.228667 | + | 0.228667i | 0.812136 | − | 0.583469i | \(-0.198305\pi\) |
−0.583469 | + | 0.812136i | \(0.698305\pi\) | |||||||
\(264\) | 2.42159e6 | − | 1.93867e6i | 2.13841 | − | 1.71196i | ||||
\(265\) | 458991. | − | 1.38334e6i | 0.401503 | − | 1.21008i | ||||
\(266\) | −801846. | + | 424436.i | −0.694843 | + | 0.367797i | ||||
\(267\) | 2.91997e6 | 2.50669 | ||||||||
\(268\) | −84276.1 | − | 57302.7i | −0.0716749 | − | 0.0487347i | ||||
\(269\) | −267940. | + | 267940.i | −0.225765 | + | 0.225765i | −0.810921 | − | 0.585156i | \(-0.801033\pi\) |
0.585156 | + | 0.810921i | \(0.301033\pi\) | |||||||
\(270\) | 189802. | + | 1.12966e6i | 0.158450 | + | 0.943060i | ||||
\(271\) | − | 1.19567e6i | − | 0.988981i | −0.869183 | − | 0.494490i | \(-0.835355\pi\) | ||
0.869183 | − | 0.494490i | \(-0.164645\pi\) | |||||||
\(272\) | 1.32929e6 | + | 575973.i | 1.08943 | + | 0.472041i | ||||
\(273\) | 1.56188e6 | + | 1.56188e6i | 1.26836 | + | 1.26836i | ||||
\(274\) | −2.14254e6 | − | 659406.i | −1.72406 | − | 0.530611i | ||||
\(275\) | −307496. | − | 2.11077e6i | −0.245193 | − | 1.68309i | ||||
\(276\) | 1.62395e6 | − | 309392.i | 1.28322 | − | 0.244476i | ||||
\(277\) | − | 549225.i | − | 0.430082i | −0.976605 | − | 0.215041i | \(-0.931012\pi\) | ||
0.976605 | − | 0.215041i | \(-0.0689884\pi\) | |||||||
\(278\) | 309315. | − | 1.00503e6i | 0.240043 | − | 0.779949i | ||||
\(279\) | − | 298549.i | − | 0.229618i | ||||||
\(280\) | −1.24329e6 | + | 460503.i | −0.947712 | + | 0.351024i | ||||
\(281\) | 555458.i | 0.419648i | 0.977739 | + | 0.209824i | \(0.0672891\pi\) | ||||
−0.977739 | + | 0.209824i | \(0.932711\pi\) | |||||||
\(282\) | 1.00373e6 | + | 308916.i | 0.751613 | + | 0.231322i | ||||
\(283\) | 1.41093e6i | 1.04722i | 0.851957 | + | 0.523611i | \(0.175416\pi\) | ||||
−0.851957 | + | 0.523611i | \(0.824584\pi\) | |||||||
\(284\) | −1.46974e6 | + | 2.16157e6i | −1.08130 | + | 1.59028i | ||||
\(285\) | 1.53551e6 | − | 770409.i | 1.11980 | − | 0.561836i | ||||
\(286\) | −762701. | + | 2.47817e6i | −0.551365 | + | 1.79149i | ||||
\(287\) | −616587. | − | 616587.i | −0.441865 | − | 0.441865i | ||||
\(288\) | 1.70504e6 | + | 1.45797e6i | 1.21131 | + | 1.03578i | ||||
\(289\) | − | 581676.i | − | 0.409673i | ||||||
\(290\) | 764623. | + | 544644.i | 0.533891 | + | 0.380293i | ||||
\(291\) | 1.27010e6 | − | 1.27010e6i | 0.879234 | − | 0.879234i | ||||
\(292\) | −65670.6 | − | 344695.i | −0.0450727 | − | 0.236580i | ||||
\(293\) | −1.36398e6 | −0.928192 | −0.464096 | − | 0.885785i | \(-0.653621\pi\) | ||||
−0.464096 | + | 0.885785i | \(0.653621\pi\) | |||||||
\(294\) | −23869.8 | − | 45094.9i | −0.0161057 | − | 0.0304270i | ||||
\(295\) | 400591. | + | 798420.i | 0.268007 | + | 0.534166i | ||||
\(296\) | −438484. | − | 48564.5i | −0.290887 | − | 0.0322174i | ||||
\(297\) | −1.74835e6 | − | 1.74835e6i | −1.15011 | − | 1.15011i | ||||
\(298\) | 273730. | + | 84245.4i | 0.178559 | + | 0.0549548i | ||||
\(299\) | −977099. | + | 977099.i | −0.632063 | + | 0.632063i | ||||
\(300\) | 2.37270e6 | − | 820468.i | 1.52209 | − | 0.526330i | ||||
\(301\) | 2.19461e6 | + | 2.19461e6i | 1.39618 | + | 1.39618i | ||||
\(302\) | −1.93540e6 | + | 1.02445e6i | −1.22110 | + | 0.646358i | ||||
\(303\) | 1.74768e6 | − | 1.74768e6i | 1.09359 | − | 1.09359i | ||||
\(304\) | 498350. | − | 1.15015e6i | 0.309279 | − | 0.713787i | ||||
\(305\) | 565680. | − | 283818.i | 0.348194 | − | 0.174699i | ||||
\(306\) | 911717. | − | 2.96235e6i | 0.556617 | − | 1.80856i | ||||
\(307\) | 445674.i | 0.269880i | 0.990854 | + | 0.134940i | \(0.0430842\pi\) | ||||
−0.990854 | + | 0.134940i | \(0.956916\pi\) | |||||||
\(308\) | 1.60912e6 | − | 2.36656e6i | 0.966521 | − | 1.42148i | ||||
\(309\) | 1.47491e6 | + | 1.47491e6i | 0.878755 | + | 0.878755i | ||||
\(310\) | −240402. | + | 40391.7i | −0.142081 | + | 0.0238719i | ||||
\(311\) | −1.74804e6 | −1.02483 | −0.512415 | − | 0.858738i | \(-0.671249\pi\) | ||||
−0.512415 | + | 0.858738i | \(0.671249\pi\) | |||||||
\(312\) | −3.03322e6 | − | 335946.i | −1.76407 | − | 0.195381i | ||||
\(313\) | −121953. | + | 121953.i | −0.0703607 | + | 0.0703607i | −0.741411 | − | 0.671051i | \(-0.765843\pi\) |
0.671051 | + | 0.741411i | \(0.265843\pi\) | |||||||
\(314\) | 923544. | − | 488853.i | 0.528608 | − | 0.279804i | ||||
\(315\) | 1.27206e6 | + | 2.53536e6i | 0.722324 | + | 1.43967i | ||||
\(316\) | 826593. | − | 1.21568e6i | 0.465665 | − | 0.684861i | ||||
\(317\) | −755171. | −0.422083 | −0.211041 | − | 0.977477i | \(-0.567685\pi\) | ||||
−0.211041 | + | 0.977477i | \(0.567685\pi\) | |||||||
\(318\) | −3.27259e6 | + | 1.73226e6i | −1.81478 | + | 0.960606i | ||||
\(319\) | −2.02632e6 | −1.11489 | ||||||||
\(320\) | 943327. | − | 1.57022e6i | 0.514976 | − | 0.857204i | ||||
\(321\) | −3.00284e6 | −1.62656 | ||||||||
\(322\) | 1.34795e6 | − | 713500.i | 0.724492 | − | 0.383490i | ||||
\(323\) | −1.73179e6 | −0.923611 | ||||||||
\(324\) | −57018.5 | + | 83858.0i | −0.0301754 | + | 0.0443795i | ||||
\(325\) | −1.25445e6 | + | 1.68227e6i | −0.658786 | + | 0.883460i | ||||
\(326\) | 2.90802e6 | − | 1.53928e6i | 1.51549 | − | 0.802184i | ||||
\(327\) | 2.60407e6 | − | 2.60407e6i | 1.34674 | − | 1.34674i | ||||
\(328\) | 1.19743e6 | + | 132622.i | 0.614560 | + | 0.0680660i | ||||
\(329\) | 968864. | 0.493484 | ||||||||
\(330\) | −3.14394e6 | + | 4.41376e6i | −1.58924 | + | 2.23112i | ||||
\(331\) | −315540. | − | 315540.i | −0.158301 | − | 0.158301i | 0.623512 | − | 0.781814i | \(-0.285705\pi\) |
−0.781814 | + | 0.623512i | \(0.785705\pi\) | |||||||
\(332\) | −1.37764e6 | + | 2.02612e6i | −0.685948 | + | 1.00883i | ||||
\(333\) | 943860.i | 0.466442i | ||||||||
\(334\) | −56430.2 | + | 183353.i | −0.0276787 | + | 0.0899337i | ||||
\(335\) | 168975. | + | 56065.4i | 0.0822639 | + | 0.0272950i | ||||
\(336\) | 3.09062e6 | + | 1.33914e6i | 1.49347 | + | 0.647112i | ||||
\(337\) | 1.15408e6 | − | 1.15408e6i | 0.553557 | − | 0.553557i | −0.373909 | − | 0.927466i | \(-0.621983\pi\) |
0.927466 | + | 0.373909i | \(0.121983\pi\) | |||||||
\(338\) | 398183. | − | 210767.i | 0.189579 | − | 0.100349i | ||||
\(339\) | 1.00933e6 | + | 1.00933e6i | 0.477016 | + | 0.477016i | ||||
\(340\) | −2.50874e6 | − | 333361.i | −1.17695 | − | 0.156393i | ||||
\(341\) | 372065. | − | 372065.i | 0.173274 | − | 0.173274i | ||||
\(342\) | −2.56312e6 | − | 788847.i | −1.18496 | − | 0.364693i | ||||
\(343\) | 1.52380e6 | + | 1.52380e6i | 0.699349 | + | 0.699349i | ||||
\(344\) | −4.26199e6 | − | 472040.i | −1.94185 | − | 0.215071i | ||||
\(345\) | −2.58128e6 | + | 1.29510e6i | −1.16758 | + | 0.585809i | ||||
\(346\) | 692108. | + | 1.30753e6i | 0.310802 | + | 0.587169i | ||||
\(347\) | 53935.7 | 0.0240466 | 0.0120233 | − | 0.999928i | \(-0.496173\pi\) | ||||
0.0120233 | + | 0.999928i | \(0.496173\pi\) | |||||||
\(348\) | −446346. | − | 2.34280e6i | −0.197571 | − | 1.03702i | ||||
\(349\) | 1.47955e6 | − | 1.47955e6i | 0.650228 | − | 0.650228i | −0.302820 | − | 0.953048i | \(-0.597928\pi\) |
0.953048 | + | 0.302820i | \(0.0979281\pi\) | |||||||
\(350\) | 1.86946e6 | − | 1.36733e6i | 0.815729 | − | 0.596626i | ||||
\(351\) | 2.43249e6i | 1.05386i | ||||||||
\(352\) | 307918. | + | 3.94189e6i | 0.132458 | + | 1.69569i | ||||
\(353\) | −869684. | − | 869684.i | −0.371471 | − | 0.371471i | 0.496542 | − | 0.868013i | \(-0.334603\pi\) |
−0.868013 | + | 0.496542i | \(0.834603\pi\) | |||||||
\(354\) | 667541. | − | 2.16897e6i | 0.283119 | − | 0.919912i | ||||
\(355\) | 1.43801e6 | − | 4.33398e6i | 0.605606 | − | 1.82522i | ||||
\(356\) | −2.09271e6 | + | 3.07779e6i | −0.875154 | + | 1.28710i | ||||
\(357\) | − | 4.65359e6i | − | 1.93249i | ||||||
\(358\) | −2.02420e6 | − | 622983.i | −0.834729 | − | 0.256903i | ||||
\(359\) | − | 573999.i | − | 0.235058i | −0.993069 | − | 0.117529i | \(-0.962503\pi\) | ||
0.993069 | − | 0.117529i | \(-0.0374973\pi\) | |||||||
\(360\) | −3.56119e6 | − | 1.63614e6i | −1.44823 | − | 0.665373i | ||||
\(361\) | − | 977698.i | − | 0.394854i | ||||||
\(362\) | −63109.8 | + | 205056.i | −0.0253119 | + | 0.0822436i | ||||
\(363\) | − | 7.65360e6i | − | 3.04859i | ||||||
\(364\) | −2.76569e6 | + | 526913.i | −1.09408 | + | 0.208442i | ||||
\(365\) | 274894. | + | 547894.i | 0.108002 | + | 0.215260i | ||||
\(366\) | −1.53672e6 | − | 472952.i | −0.599640 | − | 0.184550i | ||||
\(367\) | 3.37171e6 | + | 3.37171e6i | 1.30673 | + | 1.30673i | 0.923763 | + | 0.382966i | \(0.125097\pi\) |
0.382966 | + | 0.923763i | \(0.374903\pi\) | |||||||
\(368\) | −837755. | + | 1.93346e6i | −0.322476 | + | 0.744244i | ||||
\(369\) | − | 2.57753e6i | − | 0.985457i | ||||||
\(370\) | 760030. | − | 127698.i | 0.288620 | − | 0.0484930i | ||||
\(371\) | −2.41550e6 | + | 2.41550e6i | −0.911113 | + | 0.911113i | ||||
\(372\) | 512132. | + | 348219.i | 0.191878 | + | 0.130465i | ||||
\(373\) | 1.60011e6 | 0.595496 | 0.297748 | − | 0.954645i | \(-0.403765\pi\) | ||||
0.297748 | + | 0.954645i | \(0.403765\pi\) | |||||||
\(374\) | 4.82804e6 | − | 2.55559e6i | 1.78481 | − | 0.944741i | ||||
\(375\) | −3.59555e6 | + | 2.51135e6i | −1.32034 | + | 0.922207i | ||||
\(376\) | −1.04497e6 | + | 836582.i | −0.381185 | + | 0.305168i | ||||
\(377\) | 1.40961e6 | + | 1.40961e6i | 0.510795 | + | 0.510795i | ||||
\(378\) | 789729. | − | 2.56599e6i | 0.284282 | − | 0.923688i | ||||
\(379\) | 793057. | − | 793057.i | 0.283600 | − | 0.283600i | −0.550943 | − | 0.834543i | \(-0.685732\pi\) |
0.834543 | + | 0.550943i | \(0.185732\pi\) | |||||||
\(380\) | −288435. | + | 2.17064e6i | −0.102468 | + | 0.771133i | ||||
\(381\) | −1.93682e6 | − | 1.93682e6i | −0.683560 | − | 0.683560i | ||||
\(382\) | 969093. | + | 1.83081e6i | 0.339787 | + | 0.641927i | ||||
\(383\) | 2.83292e6 | − | 2.83292e6i | 0.986819 | − | 0.986819i | −0.0130949 | − | 0.999914i | \(-0.504168\pi\) |
0.999914 | + | 0.0130949i | \(0.00416835\pi\) | |||||||
\(384\) | −4.48972e6 | + | 1.22430e6i | −1.55378 | + | 0.423702i | ||||
\(385\) | −1.57437e6 | + | 4.74498e6i | −0.541323 | + | 1.63148i | ||||
\(386\) | −2.03889e6 | − | 627504.i | −0.696506 | − | 0.214362i | ||||
\(387\) | 9.17418e6i | 3.11379i | ||||||||
\(388\) | 428477. | + | 2.24901e6i | 0.144493 | + | 0.758423i | ||||
\(389\) | −1.80262e6 | − | 1.80262e6i | −0.603989 | − | 0.603989i | 0.337380 | − | 0.941369i | \(-0.390459\pi\) |
−0.941369 | + | 0.337380i | \(0.890459\pi\) | |||||||
\(390\) | 5.25752e6 | − | 883351.i | 1.75033 | − | 0.294084i | ||||
\(391\) | 2.91124e6 | 0.963021 | ||||||||
\(392\) | 64639.3 | + | 7159.17i | 0.0212462 | + | 0.00235314i | ||||
\(393\) | −1.32427e6 | + | 1.32427e6i | −0.432510 | + | 0.432510i | ||||
\(394\) | −2.55617e6 | − | 4.82912e6i | −0.829562 | − | 1.56721i | ||||
\(395\) | −808744. | + | 2.43746e6i | −0.260807 | + | 0.786040i | ||||
\(396\) | 8.30979e6 | − | 1.58317e6i | 2.66288 | − | 0.507328i | ||||
\(397\) | −2.51260e6 | −0.800105 | −0.400052 | − | 0.916492i | \(-0.631008\pi\) | ||||
−0.400052 | + | 0.916492i | \(0.631008\pi\) | |||||||
\(398\) | 1.73631e6 | + | 3.28024e6i | 0.549438 | + | 1.03800i | ||||
\(399\) | −4.02644e6 | −1.26616 | ||||||||
\(400\) | −835676. | + | 3.08896e6i | −0.261149 | + | 0.965299i | ||||
\(401\) | 3.84983e6 | 1.19559 | 0.597793 | − | 0.801650i | \(-0.296044\pi\) | ||||
0.597793 | + | 0.801650i | \(0.296044\pi\) | |||||||
\(402\) | −211594. | − | 399745.i | −0.0653039 | − | 0.123372i | ||||
\(403\) | −517656. | −0.158774 | ||||||||
\(404\) | 589591. | + | 3.09467e6i | 0.179721 | + | 0.943325i | ||||
\(405\) | 55787.3 | − | 168136.i | 0.0169004 | − | 0.0509359i | ||||
\(406\) | −1.02933e6 | − | 1.94462e6i | −0.309914 | − | 0.585491i | ||||
\(407\) | −1.17628e6 | + | 1.17628e6i | −0.351986 | + | 0.351986i | ||||
\(408\) | 4.01822e6 | + | 5.01916e6i | 1.19504 | + | 1.49273i | ||||
\(409\) | 1.32841e6 | 0.392665 | 0.196333 | − | 0.980537i | \(-0.437097\pi\) | ||||
0.196333 | + | 0.980537i | \(0.437097\pi\) | |||||||
\(410\) | −2.07552e6 | + | 348722.i | −0.609771 | + | 0.102452i | ||||
\(411\) | −7.03493e6 | − | 7.03493e6i | −2.05426 | − | 2.05426i | ||||
\(412\) | −2.61167e6 | + | 497570.i | −0.758010 | + | 0.144415i | ||||
\(413\) | − | 2.09363e6i | − | 0.603983i | ||||||
\(414\) | 4.30875e6 | + | 1.32610e6i | 1.23552 | + | 0.380254i | ||||
\(415\) | 1.34789e6 | − | 4.06239e6i | 0.384181 | − | 1.15788i | ||||
\(416\) | 2.52798e6 | − | 2.95638e6i | 0.716209 | − | 0.837582i | ||||
\(417\) | 3.29996e6 | − | 3.29996e6i | 0.929327 | − | 0.929327i | ||||
\(418\) | −2.21118e6 | − | 4.17737e6i | −0.618990 | − | 1.16940i | ||||
\(419\) | −3.14320e6 | − | 3.14320e6i | −0.874655 | − | 0.874655i | 0.118320 | − | 0.992975i | \(-0.462249\pi\) |
−0.992975 | + | 0.118320i | \(0.962249\pi\) | |||||||
\(420\) | −5.83285e6 | − | 775070.i | −1.61346 | − | 0.214396i | ||||
\(421\) | −1.87662e6 | + | 1.87662e6i | −0.516025 | + | 0.516025i | −0.916366 | − | 0.400341i | \(-0.868892\pi\) |
0.400341 | + | 0.916366i | \(0.368892\pi\) | |||||||
\(422\) | 965340. | − | 3.13658e6i | 0.263875 | − | 0.857384i | ||||
\(423\) | 2.02508e6 | + | 2.02508e6i | 0.550289 | + | 0.550289i | ||||
\(424\) | 519550. | − | 4.69096e6i | 0.140350 | − | 1.26721i | ||||
\(425\) | 4.37493e6 | − | 637338.i | 1.17489 | − | 0.171158i | ||||
\(426\) | −1.02530e7 | + | 5.42713e6i | −2.73732 | + | 1.44893i | ||||
\(427\) | −1.48334e6 | −0.393704 | ||||||||
\(428\) | 2.15210e6 | − | 3.16514e6i | 0.567877 | − | 0.835185i | ||||
\(429\) | −8.13694e6 | + | 8.13694e6i | −2.13461 | + | 2.13461i | ||||
\(430\) | 7.38737e6 | − | 1.24120e6i | 1.92672 | − | 0.323722i | ||||
\(431\) | 6.77381e6i | 1.75647i | 0.478233 | + | 0.878233i | \(0.341278\pi\) | ||||
−0.478233 | + | 0.878233i | \(0.658722\pi\) | |||||||
\(432\) | 1.36388e6 | + | 3.44947e6i | 0.351614 | + | 0.889289i | ||||
\(433\) | 2.95385e6 | + | 2.95385e6i | 0.757127 | + | 0.757127i | 0.975799 | − | 0.218671i | \(-0.0701723\pi\) |
−0.218671 | + | 0.975799i | \(0.570172\pi\) | |||||||
\(434\) | 546066. | + | 168062.i | 0.139162 | + | 0.0428296i | ||||
\(435\) | 1.86838e6 | + | 3.72389e6i | 0.473416 | + | 0.943568i | ||||
\(436\) | 878502. | + | 4.61112e6i | 0.221323 | + | 1.16169i | ||||
\(437\) | − | 2.51890e6i | − | 0.630967i | ||||||
\(438\) | 458081. | − | 1.48840e6i | 0.114093 | − | 0.370710i | ||||
\(439\) | 2.92559e6i | 0.724522i | 0.932077 | + | 0.362261i | \(0.117995\pi\) | ||||
−0.932077 | + | 0.362261i | \(0.882005\pi\) | |||||||
\(440\) | −2.39908e6 | − | 6.47715e6i | −0.590762 | − | 1.59497i | ||||
\(441\) | − | 139140.i | − | 0.0340686i | ||||||
\(442\) | −5.13643e6 | − | 1.58083e6i | −1.25056 | − | 0.384884i | ||||
\(443\) | 3.15699e6i | 0.764299i | 0.924100 | + | 0.382150i | \(0.124816\pi\) | ||||
−0.924100 | + | 0.382150i | \(0.875184\pi\) | |||||||
\(444\) | −1.61910e6 | − | 1.10089e6i | −0.389777 | − | 0.265025i | ||||
\(445\) | 2.04753e6 | − | 6.17100e6i | 0.490150 | − | 1.47726i | ||||
\(446\) | −75275.5 | + | 244585.i | −0.0179191 | + | 0.0582228i | ||||
\(447\) | 898780. | + | 898780.i | 0.212757 | + | 0.212757i | ||||
\(448\) | −3.62654e6 | + | 2.29791e6i | −0.853684 | + | 0.540925i | ||||
\(449\) | 5.16573e6i | 1.20925i | 0.796510 | + | 0.604625i | \(0.206677\pi\) | ||||
−0.796510 | + | 0.604625i | \(0.793323\pi\) | |||||||
\(450\) | 6.76539e6 | + | 1.04953e6i | 1.57493 | + | 0.244324i | ||||
\(451\) | 3.21223e6 | − | 3.21223e6i | 0.743645 | − | 0.743645i | ||||
\(452\) | −1.78725e6 | + | 340504.i | −0.411472 | + | 0.0783928i | ||||
\(453\) | −9.71851e6 | −2.22512 | ||||||||
\(454\) | 613562. | + | 1.15914e6i | 0.139707 | + | 0.263936i | ||||
\(455\) | 4.39607e6 | − | 2.20564e6i | 0.995488 | − | 0.499465i | ||||
\(456\) | 4.34274e6 | − | 3.47669e6i | 0.978029 | − | 0.782987i | ||||
\(457\) | −3.53914e6 | − | 3.53914e6i | −0.792697 | − | 0.792697i | 0.189235 | − | 0.981932i | \(-0.439399\pi\) |
−0.981932 | + | 0.189235i | \(0.939399\pi\) | |||||||
\(458\) | −324289. | − | 99805.8i | −0.0722385 | − | 0.0222327i | ||||
\(459\) | 3.62377e6 | − | 3.62377e6i | 0.802839 | − | 0.802839i | ||||
\(460\) | 484875. | − | 3.64897e6i | 0.106840 | − | 0.804037i | ||||
\(461\) | 3.14250e6 | + | 3.14250e6i | 0.688689 | + | 0.688689i | 0.961942 | − | 0.273253i | \(-0.0880996\pi\) |
−0.273253 | + | 0.961942i | \(0.588100\pi\) | |||||||
\(462\) | 1.12253e7 | − | 5.94179e6i | 2.44676 | − | 1.29513i | ||||
\(463\) | 443323. | − | 443323.i | 0.0961098 | − | 0.0961098i | −0.657417 | − | 0.753527i | \(-0.728351\pi\) |
0.753527 | + | 0.657417i | \(0.228351\pi\) | |||||||
\(464\) | 2.78931e6 | + | 1.20859e6i | 0.601454 | + | 0.260606i | ||||
\(465\) | −1.02683e6 | − | 340700.i | −0.220225 | − | 0.0730702i | ||||
\(466\) | 1.20270e6 | − | 3.90780e6i | 0.256561 | − | 0.833619i | ||||
\(467\) | 4.52407e6i | 0.959924i | 0.877289 | + | 0.479962i | \(0.159350\pi\) | ||||
−0.877289 | + | 0.479962i | \(0.840650\pi\) | |||||||
\(468\) | −6.88205e6 | − | 4.67939e6i | −1.45246 | − | 0.987585i | ||||
\(469\) | −295052. | − | 295052.i | −0.0619393 | − | 0.0619393i | ||||
\(470\) | 1.35669e6 | − | 1.90464e6i | 0.283292 | − | 0.397712i | ||||
\(471\) | 4.63754e6 | 0.963242 | ||||||||
\(472\) | 1.80778e6 | + | 2.25810e6i | 0.373500 | + | 0.466539i | ||||
\(473\) | −1.14333e7 | + | 1.14333e7i | −2.34973 | + | 2.34973i | ||||
\(474\) | 5.76633e6 | − | 3.05225e6i | 1.17884 | − | 0.623985i | ||||
\(475\) | −551446. | − | 3.78533e6i | −0.112142 | − | 0.769786i | ||||
\(476\) | 4.90510e6 | + | 3.33518e6i | 0.992272 | + | 0.674686i | ||||
\(477\) | −1.00976e7 | −2.03198 | ||||||||
\(478\) | 4.74153e6 | − | 2.50980e6i | 0.949180 | − | 0.502423i | ||||
\(479\) | −4.34987e6 | −0.866239 | −0.433120 | − | 0.901336i | \(-0.642587\pi\) | ||||
−0.433120 | + | 0.901336i | \(0.642587\pi\) | |||||||
\(480\) | 6.96031e6 | − | 4.20052e6i | 1.37888 | − | 0.832147i | ||||
\(481\) | 1.63656e6 | 0.322530 | ||||||||
\(482\) | 6.22640e6 | − | 3.29578e6i | 1.22073 | − | 0.646161i | ||||
\(483\) | 6.76867e6 | 1.32019 | ||||||||
\(484\) | 8.06726e6 | + | 5.48526e6i | 1.56535 | + | 1.06435i | ||||
\(485\) | −1.79358e6 | − | 3.57481e6i | −0.346232 | − | 0.690078i | ||||
\(486\) | −4.79864e6 | + | 2.54003e6i | −0.921567 | + | 0.487807i | ||||
\(487\) | 2.46757e6 | − | 2.46757e6i | 0.471463 | − | 0.471463i | −0.430925 | − | 0.902388i | \(-0.641813\pi\) |
0.902388 | + | 0.430925i | \(0.141813\pi\) | |||||||
\(488\) | 1.59986e6 | − | 1.28081e6i | 0.304112 | − | 0.243464i | ||||
\(489\) | 1.46025e7 | 2.76156 | ||||||||
\(490\) | −112040. | + | 18824.6i | −0.0210806 | + | 0.00354190i | ||||
\(491\) | −2.98282e6 | − | 2.98282e6i | −0.558371 | − | 0.558371i | 0.370473 | − | 0.928843i | \(-0.379196\pi\) |
−0.928843 | + | 0.370473i | \(0.879196\pi\) | |||||||
\(492\) | 4.42150e6 | + | 3.00636e6i | 0.823487 | + | 0.559922i | ||||
\(493\) | − | 4.19991e6i | − | 0.778256i | ||||||
\(494\) | −1.36778e6 | + | 4.44421e6i | −0.252174 | + | 0.819364i | ||||
\(495\) | −1.32084e7 | + | 6.62706e6i | −2.42292 | + | 1.21565i | ||||
\(496\) | −734079. | + | 290246.i | −0.133980 | + | 0.0529739i | ||||
\(497\) | −7.56771e6 | + | 7.56771e6i | −1.37427 | + | 1.37427i | ||||
\(498\) | −9.61046e6 | + | 5.08704e6i | −1.73648 | + | 0.919161i | ||||
\(499\) | 1.13593e6 | + | 1.13593e6i | 0.204221 | + | 0.204221i | 0.801806 | − | 0.597585i | \(-0.203873\pi\) |
−0.597585 | + | 0.801806i | \(0.703873\pi\) | |||||||
\(500\) | −70187.9 | − | 5.58973e6i | −0.0125556 | − | 0.999921i | ||||
\(501\) | −602031. | + | 602031.i | −0.107158 | + | 0.107158i | ||||
\(502\) | −1.63098e6 | − | 501962.i | −0.288861 | − | 0.0889020i | ||||
\(503\) | 3.98673e6 | + | 3.98673e6i | 0.702581 | + | 0.702581i | 0.964964 | − | 0.262383i | \(-0.0845082\pi\) |
−0.262383 | + | 0.964964i | \(0.584508\pi\) | |||||||
\(504\) | 5.74055e6 | + | 7.17053e6i | 1.00665 | + | 1.25740i | ||||
\(505\) | −2.46800e6 | − | 4.91899e6i | −0.430643 | − | 0.858317i | ||||
\(506\) | 3.71712e6 | + | 7.02240e6i | 0.645402 | + | 1.21930i | ||||
\(507\) | 1.99946e6 | 0.345456 | ||||||||
\(508\) | 3.42960e6 | − | 653401.i | 0.589636 | − | 0.112336i | ||||
\(509\) | 6.10895e6 | − | 6.10895e6i | 1.04513 | − | 1.04513i | 0.0462016 | − | 0.998932i | \(-0.485288\pi\) |
0.998932 | − | 0.0462016i | \(-0.0147117\pi\) | |||||||
\(510\) | −9.14828e6 | − | 6.51636e6i | −1.55745 | − | 1.10938i | ||||
\(511\) | − | 1.43670e6i | − | 0.243396i | ||||||
\(512\) | 1.92726e6 | − | 5.60982e6i | 0.324912 | − | 0.945744i | ||||
\(513\) | −3.13540e6 | − | 3.13540e6i | −0.526016 | − | 0.526016i | ||||
\(514\) | −2.71378e6 | + | 8.81762e6i | −0.453072 | + | 1.47212i | ||||
\(515\) | 4.15126e6 | − | 2.08281e6i | 0.689702 | − | 0.346044i | ||||
\(516\) | −1.57374e7 | − | 1.07005e7i | −2.60201 | − | 1.76921i | ||||
\(517\) | 5.04749e6i | 0.830518i | ||||||||
\(518\) | −1.72638e6 | − | 531325.i | −0.282691 | − | 0.0870034i | ||||
\(519\) | 6.56573e6i | 1.06995i | ||||||||
\(520\) | −2.83692e6 | + | 6.17476e6i | −0.460085 | + | 1.00141i | ||||
\(521\) | − | 7.42883e6i | − | 1.19902i | −0.800368 | − | 0.599509i | \(-0.795362\pi\) | ||
0.800368 | − | 0.599509i | \(-0.204638\pi\) | |||||||
\(522\) | 1.91310e6 | − | 6.21604e6i | 0.307299 | − | 0.998475i | ||||
\(523\) | − | 5.17846e6i | − | 0.827840i | −0.910313 | − | 0.413920i | \(-0.864159\pi\) | ||
0.910313 | − | 0.413920i | \(-0.135841\pi\) | |||||||
\(524\) | −446753. | − | 2.34494e6i | −0.0710787 | − | 0.373081i | ||||
\(525\) | 1.01718e7 | − | 1.48182e6i | 1.61064 | − | 0.234637i | ||||
\(526\) | −1.96124e6 | − | 603608.i | −0.309077 | − | 0.0951241i | ||||
\(527\) | 771171. | + | 771171.i | 0.120955 | + | 0.120955i | ||||
\(528\) | −6.97654e6 | + | 1.61012e7i | −1.08907 | + | 2.51347i | ||||
\(529\) | − | 2.20193e6i | − | 0.342110i | ||||||
\(530\) | 1.36613e6 | + | 8.13091e6i | 0.211253 | + | 1.25733i | ||||
\(531\) | 4.37602e6 | − | 4.37602e6i | 0.673508 | − | 0.673508i | ||||
\(532\) | 2.88570e6 | − | 4.24405e6i | 0.442051 | − | 0.650132i | ||||
\(533\) | −4.46919e6 | −0.681413 | ||||||||
\(534\) | −1.45988e7 | + | 7.72749e6i | −2.21546 | + | 1.17270i | ||||
\(535\) | −2.10564e6 | + | 6.34614e6i | −0.318052 | + | 0.958572i | ||||
\(536\) | 572998. | + | 63462.7i | 0.0861472 | + | 0.00954128i | ||||
\(537\) | −6.64636e6 | − | 6.64636e6i | −0.994599 | − | 0.994599i | ||||
\(538\) | 630522. | − | 2.04869e6i | 0.0939170 | − | 0.305155i | ||||
\(539\) | 173402. | − | 173402.i | 0.0257088 | − | 0.0257088i | ||||
\(540\) | −3.93851e6 | − | 5.14561e6i | −0.581230 | − | 0.759368i | ||||
\(541\) | 1.49348e6 | + | 1.49348e6i | 0.219384 | + | 0.219384i | 0.808239 | − | 0.588855i | \(-0.200421\pi\) |
−0.588855 | + | 0.808239i | \(0.700421\pi\) | |||||||
\(542\) | 3.16425e6 | + | 5.97792e6i | 0.462672 | + | 0.874081i | ||||
\(543\) | −673293. | + | 673293.i | −0.0979951 | + | 0.0979951i | ||||
\(544\) | −8.17025e6 | + | 638213.i | −1.18369 | + | 0.0924631i | ||||
\(545\) | −3.67737e6 | − | 7.32939e6i | −0.530330 | − | 1.05700i | ||||
\(546\) | −1.19423e7 | − | 3.67545e6i | −1.71437 | − | 0.527629i | ||||
\(547\) | 4.77308e6i | 0.682073i | 0.940050 | + | 0.341036i | \(0.110778\pi\) | ||||
−0.940050 | + | 0.341036i | \(0.889222\pi\) | |||||||
\(548\) | 1.24570e7 | − | 2.37329e6i | 1.77199 | − | 0.337597i | ||||
\(549\) | −3.10040e6 | − | 3.10040e6i | −0.439023 | − | 0.439023i | ||||
\(550\) | 7.12336e6 | + | 9.73931e6i | 1.00410 | + | 1.37285i | ||||
\(551\) | −3.63389e6 | −0.509910 | ||||||||
\(552\) | −7.30039e6 | + | 5.84452e6i | −1.01976 | + | 0.816397i | ||||
\(553\) | 4.25613e6 | − | 4.25613e6i | 0.591836 | − | 0.591836i | ||||
\(554\) | 1.45348e6 | + | 2.74593e6i | 0.201204 | + | 0.380115i | ||||
\(555\) | 3.24631e6 | + | 1.07712e6i | 0.447361 | + | 0.148433i | ||||
\(556\) | 1.11327e6 | + | 5.84336e6i | 0.152726 | + | 0.801633i | ||||
\(557\) | 1.05045e7 | 1.43463 | 0.717313 | − | 0.696751i | \(-0.245372\pi\) | ||||
0.717313 | + | 0.696751i | \(0.245372\pi\) | |||||||
\(558\) | 790089. | + | 1.49264e6i | 0.107421 | + | 0.202941i | ||||
\(559\) | 1.59071e7 | 2.15309 | ||||||||
\(560\) | 4.99730e6 | − | 5.59262e6i | 0.673389 | − | 0.753607i | ||||
\(561\) | 2.42438e7 | 3.25232 | ||||||||
\(562\) | −1.46998e6 | − | 2.77709e6i | −0.196322 | − | 0.370893i | ||||
\(563\) | −1.02868e7 | −1.36776 | −0.683878 | − | 0.729596i | \(-0.739708\pi\) | ||||
−0.683878 | + | 0.729596i | \(0.739708\pi\) | |||||||
\(564\) | −5.83582e6 | + | 1.11183e6i | −0.772509 | + | 0.147177i | ||||
\(565\) | 2.84084e6 | − | 1.42533e6i | 0.374392 | − | 0.187843i | ||||
\(566\) | −3.73392e6 | − | 7.05414e6i | −0.489919 | − | 0.925556i | ||||
\(567\) | −293588. | + | 293588.i | −0.0383514 | + | 0.0383514i | ||||
\(568\) | 1.62774e6 | − | 1.46967e7i | 0.211697 | − | 1.91138i | ||||
\(569\) | 1.03508e6 | 0.134028 | 0.0670138 | − | 0.997752i | \(-0.478653\pi\) | ||||
0.0670138 | + | 0.997752i | \(0.478653\pi\) | |||||||
\(570\) | −5.63816e6 | + | 7.91538e6i | −0.726859 | + | 1.02043i | ||||
\(571\) | 7.97599e6 | + | 7.97599e6i | 1.02375 | + | 1.02375i | 0.999711 | + | 0.0240393i | \(0.00765270\pi\) |
0.0240393 | + | 0.999711i | \(0.492347\pi\) | |||||||
\(572\) | −2.74506e6 | − | 1.44084e7i | −0.350802 | − | 1.84130i | ||||
\(573\) | 9.19336e6i | 1.16974i | ||||||||
\(574\) | 4.71447e6 | + | 1.45096e6i | 0.597246 | + | 0.183813i | ||||
\(575\) | 927011. | + | 6.36336e6i | 0.116927 | + | 0.802632i | ||||
\(576\) | −1.23830e7 | − | 2.77704e6i | −1.55514 | − | 0.348760i | ||||
\(577\) | −5.12608e6 | + | 5.12608e6i | −0.640982 | + | 0.640982i | −0.950797 | − | 0.309815i | \(-0.899733\pi\) |
0.309815 | + | 0.950797i | \(0.399733\pi\) | |||||||
\(578\) | 1.53936e6 | + | 2.90817e6i | 0.191656 | + | 0.362077i | ||||
\(579\) | −6.69458e6 | − | 6.69458e6i | −0.829903 | − | 0.829903i | ||||
\(580\) | −5.26420e6 | − | 699507.i | −0.649774 | − | 0.0863420i | ||||
\(581\) | −7.09348e6 | + | 7.09348e6i | −0.871804 | + | 0.871804i | ||||
\(582\) | −2.98881e6 | + | 9.71125e6i | −0.365756 | + | 1.18841i | ||||
\(583\) | −1.25840e7 | − | 1.25840e7i | −1.53337 | − | 1.53337i | ||||
\(584\) | 1.24054e6 | + | 1.54956e6i | 0.150515 | + | 0.188008i | ||||
\(585\) | 1.37986e7 | + | 4.57835e6i | 1.66704 | + | 0.553120i | ||||
\(586\) | 6.81940e6 | − | 3.60966e6i | 0.820355 | − | 0.434233i | ||||
\(587\) | 2.04239e6 | 0.244649 | 0.122324 | − | 0.992490i | \(-0.460965\pi\) | ||||
0.122324 | + | 0.992490i | \(0.460965\pi\) | |||||||
\(588\) | 238680. | + | 162289.i | 0.0284691 | + | 0.0193573i | ||||
\(589\) | 667241. | − | 667241.i | 0.0792492 | − | 0.0792492i | ||||
\(590\) | −4.11577e6 | − | 2.93168e6i | −0.486767 | − | 0.346726i | ||||
\(591\) | − | 2.42493e7i | − | 2.85581i | ||||||
\(592\) | 2.32078e6 | − | 917609.i | 0.272164 | − | 0.107610i | ||||
\(593\) | 8.11262e6 | + | 8.11262e6i | 0.947381 | + | 0.947381i | 0.998683 | − | 0.0513023i | \(-0.0163372\pi\) |
−0.0513023 | + | 0.998683i | \(0.516337\pi\) | |||||||
\(594\) | 1.33680e7 | + | 4.11425e6i | 1.55454 | + | 0.478437i | ||||
\(595\) | −9.83480e6 | − | 3.26316e6i | −1.13887 | − | 0.377874i | ||||
\(596\) | −1.59150e6 | + | 303210.i | −0.183524 | + | 0.0349646i | ||||
\(597\) | 1.64716e7i | 1.89147i | ||||||||
\(598\) | 2.29932e6 | − | 7.47096e6i | 0.262934 | − | 0.854326i | ||||
\(599\) | − | 7.22533e6i | − | 0.822793i | −0.911456 | − | 0.411397i | \(-0.865041\pi\) | ||
0.911456 | − | 0.411397i | \(-0.134959\pi\) | |||||||
\(600\) | −9.69133e6 | + | 1.03812e7i | −1.09902 | + | 1.17725i | ||||
\(601\) | − | 1.37926e6i | − | 0.155762i | −0.996963 | − | 0.0778809i | \(-0.975185\pi\) | ||
0.996963 | − | 0.0778809i | \(-0.0248154\pi\) | |||||||
\(602\) | −1.67802e7 | − | 5.16440e6i | −1.88714 | − | 0.580803i | ||||
\(603\) | − | 1.23341e6i | − | 0.138138i | ||||||
\(604\) | 6.96515e6 | − | 1.02438e7i | 0.776852 | − | 1.14253i | ||||
\(605\) | −1.61749e7 | − | 5.36681e6i | −1.79661 | − | 0.596112i | ||||
\(606\) | −4.11266e6 | + | 1.33628e7i | −0.454926 | + | 1.47815i | ||||
\(607\) | 9.96172e6 | + | 9.96172e6i | 1.09739 | + | 1.09739i | 0.994714 | + | 0.102680i | \(0.0327417\pi\) |
0.102680 | + | 0.994714i | \(0.467258\pi\) | |||||||
\(608\) | 552202. | + | 7.06916e6i | 0.0605814 | + | 0.775549i | ||||
\(609\) | − | 9.76484e6i | − | 1.06690i | ||||||
\(610\) | −2.07709e6 | + | 2.91602e6i | −0.226012 | + | 0.317297i | ||||
\(611\) | 3.51129e6 | − | 3.51129e6i | 0.380508 | − | 0.380508i | ||||
\(612\) | 3.28139e6 | + | 1.72235e7i | 0.354143 | + | 1.85884i | ||||
\(613\) | −6.72623e6 | −0.722970 | −0.361485 | − | 0.932378i | \(-0.617730\pi\) | ||||
−0.361485 | + | 0.932378i | \(0.617730\pi\) | |||||||
\(614\) | −1.17944e6 | − | 2.22821e6i | −0.126257 | − | 0.238526i | ||||
\(615\) | −8.86516e6 | − | 2.94144e6i | −0.945145 | − | 0.313597i | ||||
\(616\) | −1.78210e6 | + | 1.60904e7i | −0.189226 | + | 1.70850i | ||||
\(617\) | −8.50888e6 | − | 8.50888e6i | −0.899828 | − | 0.899828i | 0.0955928 | − | 0.995421i | \(-0.469525\pi\) |
−0.995421 | + | 0.0955928i | \(0.969525\pi\) | |||||||
\(618\) | −1.12772e7 | − | 3.47077e6i | −1.18777 | − | 0.365557i | ||||
\(619\) | −3.48483e6 | + | 3.48483e6i | −0.365557 | + | 0.365557i | −0.865854 | − | 0.500297i | \(-0.833224\pi\) |
0.500297 | + | 0.865854i | \(0.333224\pi\) | |||||||
\(620\) | 1.09503e6 | − | 838151.i | 0.114406 | − | 0.0875676i | ||||
\(621\) | 5.27078e6 | + | 5.27078e6i | 0.548461 | + | 0.548461i | ||||
\(622\) | 8.73960e6 | − | 4.62607e6i | 0.905765 | − | 0.479442i | ||||
\(623\) | −1.07754e7 | + | 1.07754e7i | −1.11228 | + | 1.11228i | ||||
\(624\) | 1.60541e7 | − | 6.34758e6i | 1.65053 | − | 0.652599i | ||||
\(625\) | 2.78618e6 | + | 9.35974e6i | 0.285304 | + | 0.958437i | ||||
\(626\) | 286981. | − | 932458.i | 0.0292696 | − | 0.0951028i | ||||
\(627\) | − | 2.09765e7i | − | 2.13091i | ||||||
\(628\) | −3.32368e6 | + | 4.88819e6i | −0.336294 | + | 0.494594i | ||||
\(629\) | −2.43805e6 | − | 2.43805e6i | −0.245706 | − | 0.245706i | ||||
\(630\) | −1.30695e7 | − | 9.30946e6i | −1.31192 | − | 0.934487i | ||||
\(631\) | 1.53607e7 | 1.53581 | 0.767905 | − | 0.640564i | \(-0.221299\pi\) | ||||
0.767905 | + | 0.640564i | \(0.221299\pi\) | |||||||
\(632\) | −915451. | + | 8.26550e6i | −0.0911679 | + | 0.823145i | ||||
\(633\) | 1.02988e7 | − | 1.02988e7i | 1.02159 | − | 1.02159i | ||||
\(634\) | 3.77559e6 | − | 1.99851e6i | 0.373045 | − | 0.197461i | ||||
\(635\) | −5.45136e6 | + | 2.73511e6i | −0.536501 | + | 0.269178i | ||||
\(636\) | 1.17775e7 | − | 1.73214e7i | 1.15454 | − | 1.69801i | ||||
\(637\) | −241255. | −0.0235574 | ||||||||
\(638\) | 1.01309e7 | − | 5.36252e6i | 0.985362 | − | 0.521575i | ||||
\(639\) | −3.16354e7 | −3.06493 | ||||||||
\(640\) | −560838. | + | 1.03470e7i | −0.0541237 | + | 0.998534i | ||||
\(641\) | −7.40305e6 | −0.711648 | −0.355824 | − | 0.934553i | \(-0.615800\pi\) | ||||
−0.355824 | + | 0.934553i | \(0.615800\pi\) | |||||||
\(642\) | 1.50131e7 | − | 7.94680e6i | 1.43759 | − | 0.760947i | ||||
\(643\) | −8.59023e6 | −0.819365 | −0.409683 | − | 0.912228i | \(-0.634361\pi\) | ||||
−0.409683 | + | 0.912228i | \(0.634361\pi\) | |||||||
\(644\) | −4.85103e6 | + | 7.13449e6i | −0.460914 | + | 0.677873i | ||||
\(645\) | 3.15537e7 | + | 1.04694e7i | 2.98642 | + | 0.990888i | ||||
\(646\) | 8.65833e6 | − | 4.58306e6i | 0.816306 | − | 0.432090i | ||||
\(647\) | −7.30612e6 | + | 7.30612e6i | −0.686162 | + | 0.686162i | −0.961381 | − | 0.275220i | \(-0.911249\pi\) |
0.275220 | + | 0.961381i | \(0.411249\pi\) | |||||||
\(648\) | 63147.9 | − | 570156.i | 0.00590774 | − | 0.0533403i | ||||
\(649\) | 1.09072e7 | 1.01648 | ||||||||
\(650\) | 1.81979e6 | − | 1.17305e7i | 0.168942 | − | 1.08902i | ||||
\(651\) | 1.79298e6 | + | 1.79298e6i | 0.165815 | + | 0.165815i | ||||
\(652\) | −1.04654e7 | + | 1.53917e7i | −0.964137 | + | 1.41797i | ||||
\(653\) | 1.00355e7i | 0.920997i | 0.887661 | + | 0.460498i | \(0.152329\pi\) | ||||
−0.887661 | + | 0.460498i | \(0.847671\pi\) | |||||||
\(654\) | −6.12794e6 | + | 1.99109e7i | −0.560235 | + | 1.82031i | ||||
\(655\) | 1.87009e6 | + | 3.72729e6i | 0.170317 | + | 0.339461i | ||||
\(656\) | −6.33768e6 | + | 2.50584e6i | −0.575004 | + | 0.227350i | ||||
\(657\) | 3.00292e6 | − | 3.00292e6i | 0.271413 | − | 0.271413i | ||||
\(658\) | −4.84397e6 | + | 2.56403e6i | −0.436151 | + | 0.230865i | ||||
\(659\) | −8.40660e6 | − | 8.40660e6i | −0.754062 | − | 0.754062i | 0.221173 | − | 0.975235i | \(-0.429011\pi\) |
−0.975235 | + | 0.221173i | \(0.929011\pi\) | |||||||
\(660\) | 4.03788e6 | − | 3.03874e7i | 0.360822 | − | 2.71540i | ||||
\(661\) | 2.85949e6 | − | 2.85949e6i | 0.254557 | − | 0.254557i | −0.568279 | − | 0.822836i | \(-0.692390\pi\) |
0.822836 | + | 0.568279i | \(0.192390\pi\) | |||||||
\(662\) | 2.41264e6 | + | 742533.i | 0.213967 | + | 0.0658523i | ||||
\(663\) | −1.68652e7 | − | 1.68652e7i | −1.49008 | − | 1.49008i | ||||
\(664\) | 1.52574e6 | − | 1.37757e7i | 0.134295 | − | 1.21253i | ||||
\(665\) | −2.82339e6 | + | 8.50938e6i | −0.247581 | + | 0.746180i | ||||
\(666\) | −2.49786e6 | − | 4.71896e6i | −0.218214 | − | 0.412250i | ||||
\(667\) | 6.10878e6 | 0.531667 | ||||||||
\(668\) | −203100. | − | 1.06604e6i | −0.0176104 | − | 0.0924340i | ||||
\(669\) | −803084. | + | 803084.i | −0.0693738 | + | 0.0693738i | ||||
\(670\) | −993186. | + | 166872.i | −0.0854759 | + | 0.0143614i | ||||
\(671\) | − | 7.72773e6i | − | 0.662591i | ||||||
\(672\) | −1.89959e7 | + | 1.48385e6i | −1.62270 | + | 0.126756i | ||||
\(673\) | −1.08674e7 | − | 1.08674e7i | −0.924881 | − | 0.924881i | 0.0724878 | − | 0.997369i | \(-0.476906\pi\) |
−0.997369 | + | 0.0724878i | \(0.976906\pi\) | |||||||
\(674\) | −2.71581e6 | + | 8.82420e6i | −0.230276 | + | 0.748213i | ||||
\(675\) | 9.07469e6 | + | 6.76689e6i | 0.766606 | + | 0.571649i | ||||
\(676\) | −1.43299e6 | + | 2.10752e6i | −0.120608 | + | 0.177380i | ||||
\(677\) | − | 7.82331e6i | − | 0.656023i | −0.944674 | − | 0.328011i | \(-0.893622\pi\) | ||
0.944674 | − | 0.328011i | \(-0.106378\pi\) | |||||||
\(678\) | −7.71739e6 | − | 2.37516e6i | −0.644757 | − | 0.198436i | ||||
\(679\) | 9.37392e6i | 0.780273i | ||||||||
\(680\) | 1.34250e7 | − | 4.97251e6i | 1.11338 | − | 0.412385i | ||||
\(681\) | 5.82060e6i | 0.480950i | ||||||||
\(682\) | −875550. | + | 2.84484e6i | −0.0720809 | + | 0.234205i | ||||
\(683\) | 2.47066e6i | 0.202657i | 0.994853 | + | 0.101328i | \(0.0323093\pi\) | ||||
−0.994853 | + | 0.101328i | \(0.967691\pi\) | |||||||
\(684\) | 1.49023e7 | − | 2.83916e6i | 1.21791 | − | 0.232033i | ||||
\(685\) | −1.98005e7 | + | 9.93447e6i | −1.61231 | + | 0.808944i | ||||
\(686\) | −1.16511e7 | − | 3.58584e6i | −0.945272 | − | 0.290925i | ||||
\(687\) | −1.06479e6 | − | 1.06479e6i | −0.0860739 | − | 0.0860739i | ||||
\(688\) | 2.25577e7 | − | 8.91902e6i | 1.81687 | − | 0.718366i | ||||
\(689\) | 1.75082e7i | 1.40505i | ||||||||
\(690\) | 9.47807e6 | − | 1.33062e7i | 0.757874 | − | 1.06398i | ||||
\(691\) | −1.81233e6 | + | 1.81233e6i | −0.144391 | + | 0.144391i | −0.775607 | − | 0.631216i | \(-0.782556\pi\) |
0.631216 | + | 0.775607i | \(0.282556\pi\) | |||||||
\(692\) | −6.92059e6 | − | 4.70559e6i | −0.549386 | − | 0.373550i | ||||
\(693\) | 3.46354e7 | 2.73960 | ||||||||
\(694\) | −269659. | + | 142737.i | −0.0212528 | + | 0.0112496i | ||||
\(695\) | −4.66008e6 | − | 9.28804e6i | −0.365958 | − | 0.729394i | ||||
\(696\) | 8.43162e6 | + | 1.05319e7i | 0.659763 | + | 0.824110i | ||||
\(697\) | 6.65791e6 | + | 6.65791e6i | 0.519106 | + | 0.519106i | ||||
\(698\) | −3.48170e6 | + | 1.13127e7i | −0.270491 | + | 0.878879i | ||||
\(699\) | 1.28311e7 | − | 1.28311e7i | 0.993277 | − | 0.993277i | ||||
\(700\) | −5.72809e6 | + | 1.17835e7i | −0.441840 | + | 0.908930i | ||||
\(701\) | 1.67107e7 | + | 1.67107e7i | 1.28440 | + | 1.28440i | 0.938140 | + | 0.346256i | \(0.112547\pi\) |
0.346256 | + | 0.938140i | \(0.387453\pi\) | |||||||
\(702\) | −6.43740e6 | − | 1.21616e7i | −0.493024 | − | 0.931423i | ||||
\(703\) | −2.10948e6 | + | 2.10948e6i | −0.160985 | + | 0.160985i | ||||
\(704\) | −1.19714e7 | − | 1.88932e7i | −0.910360 | − | 1.43672i | ||||
\(705\) | 9.27605e6 | − | 4.65407e6i | 0.702895 | − | 0.352663i | ||||
\(706\) | 6.64967e6 | + | 2.04655e6i | 0.502098 | + | 0.154530i | ||||
\(707\) | 1.28987e7i | 0.970502i | ||||||||
\(708\) | 2.40257e6 | + | 1.26107e7i | 0.180133 | + | 0.945487i | ||||
\(709\) | −1.75606e7 | − | 1.75606e7i | −1.31197 | − | 1.31197i | −0.919963 | − | 0.392006i | \(-0.871781\pi\) |
−0.392006 | − | 0.919963i | \(-0.628219\pi\) | |||||||
\(710\) | 4.28005e6 | + | 2.54739e7i | 0.318642 | + | 1.89649i | ||||
\(711\) | 1.77919e7 | 1.31993 | ||||||||
\(712\) | 2.31768e6 | − | 2.09260e7i | 0.171338 | − | 1.54699i | ||||
\(713\) | −1.12167e6 | + | 1.12167e6i | −0.0826307 | + | 0.0826307i | ||||
\(714\) | 1.23154e7 | + | 2.32663e7i | 0.904071 | + | 1.70798i | ||||
\(715\) | 1.14907e7 | + | 2.29022e7i | 0.840584 | + | 1.67537i | ||||
\(716\) | 1.17689e7 | − | 2.24220e6i | 0.857936 | − | 0.163452i | ||||
\(717\) | 2.38094e7 | 1.72962 | ||||||||
\(718\) | 1.51905e6 | + | 2.86979e6i | 0.109966 | + | 0.207749i | ||||
\(719\) | 2.39129e7 | 1.72509 | 0.862543 | − | 0.505984i | \(-0.168871\pi\) | ||||
0.862543 | + | 0.505984i | \(0.168871\pi\) | |||||||
\(720\) | 2.21346e7 | − | 1.24430e6i | 1.59126 | − | 0.0894526i | ||||
\(721\) | −1.08855e7 | −0.779848 | ||||||||
\(722\) | 2.58741e6 | + | 4.88814e6i | 0.184723 | + | 0.348980i | ||||
\(723\) | 3.12656e7 | 2.22444 | ||||||||
\(724\) | −227140. | − | 1.19222e6i | −0.0161045 | − | 0.0845301i | ||||
\(725\) | 9.18012e6 | − | 1.33736e6i | 0.648639 | − | 0.0944935i | ||||
\(726\) | 2.02547e7 | + | 3.82653e7i | 1.42621 | + | 2.69441i | ||||
\(727\) | 1.87769e7 | − | 1.87769e7i | 1.31761 | − | 1.31761i | 0.401952 | − | 0.915661i | \(-0.368332\pi\) |
0.915661 | − | 0.401952i | \(-0.131668\pi\) | |||||||
\(728\) | 1.24330e7 | − | 9.95356e6i | 0.869456 | − | 0.696066i | ||||
\(729\) | −2.33261e7 | −1.62564 | ||||||||
\(730\) | −2.82433e6 | − | 2.01178e6i | −0.196159 | − | 0.139725i | ||||
\(731\) | −2.36974e7 | − | 2.36974e7i | −1.64024 | − | 1.64024i | ||||
\(732\) | 8.93466e6 | − | 1.70222e6i | 0.616312 | − | 0.117419i | ||||
\(733\) | − | 2.58736e7i | − | 1.77868i | −0.457247 | − | 0.889340i | \(-0.651164\pi\) | ||
0.457247 | − | 0.889340i | \(-0.348836\pi\) | |||||||
\(734\) | −2.57803e7 | − | 7.93436e6i | −1.76624 | − | 0.543591i | ||||
\(735\) | −478557. | − | 158784.i | −0.0326750 | − | 0.0108415i | ||||
\(736\) | −928283. | − | 1.18837e7i | −0.0631664 | − | 0.808641i | ||||
\(737\) | 1.53713e6 | − | 1.53713e6i | 0.104242 | − | 0.104242i | ||||
\(738\) | 6.82124e6 | + | 1.28867e7i | 0.461023 | + | 0.870967i | ||||
\(739\) | 1.01373e7 | + | 1.01373e7i | 0.682828 | + | 0.682828i | 0.960637 | − | 0.277808i | \(-0.0896080\pi\) |
−0.277808 | + | 0.960637i | \(0.589608\pi\) | |||||||
\(740\) | −3.46194e6 | + | 2.64981e6i | −0.232402 | + | 0.177883i | ||||
\(741\) | −1.45923e7 | + | 1.45923e7i | −0.976291 | + | 0.976291i | ||||
\(742\) | 5.68419e6 | − | 1.84691e7i | 0.379017 | − | 1.23150i | ||||
\(743\) | 329492. | + | 329492.i | 0.0218964 | + | 0.0218964i | 0.717970 | − | 0.696074i | \(-0.245071\pi\) |
−0.696074 | + | 0.717970i | \(0.745071\pi\) | |||||||
\(744\) | −3.48201e6 | − | 385653.i | −0.230621 | − | 0.0255425i | ||||
\(745\) | 2.52970e6 | − | 1.26922e6i | 0.166985 | − | 0.0837814i | ||||
\(746\) | −7.99999e6 | + | 4.23458e6i | −0.526311 | + | 0.278589i | ||||
\(747\) | −2.96530e7 | −1.94432 | ||||||||
\(748\) | −1.73753e7 | + | 2.55541e7i | −1.13548 | + | 1.66996i | ||||
\(749\) | 1.10812e7 | − | 1.10812e7i | 0.721742 | − | 0.721742i | ||||
\(750\) | 1.13303e7 | − | 2.20712e7i | 0.735512 | − | 1.43276i | ||||
\(751\) | − | 8.03777e6i | − | 0.520039i | −0.965603 | − | 0.260019i | \(-0.916271\pi\) | ||
0.965603 | − | 0.260019i | \(-0.0837290\pi\) | |||||||
\(752\) | 3.01055e6 | − | 6.94806e6i | 0.194134 | − | 0.448042i | ||||
\(753\) | −5.35523e6 | − | 5.35523e6i | −0.344184 | − | 0.344184i | ||||
\(754\) | −1.07780e7 | − | 3.31713e6i | −0.690415 | − | 0.212488i | ||||
\(755\) | −6.81476e6 | + | 2.05389e7i | −0.435094 | + | 1.31132i | ||||
\(756\) | 2.84234e6 | + | 1.49190e7i | 0.180872 | + | 0.949369i | ||||
\(757\) | 8.16444e6i | 0.517830i | 0.965900 | + | 0.258915i | \(0.0833649\pi\) | ||||
−0.965900 | + | 0.258915i | \(0.916635\pi\) | |||||||
\(758\) | −1.86623e6 | + | 6.06377e6i | −0.117976 | + | 0.383327i | ||||
\(759\) | 3.52627e7i | 2.22183i | ||||||||
\(760\) | −4.30237e6 | − | 1.16158e7i | −0.270193 | − | 0.729480i | ||||
\(761\) | 1.38961e7i | 0.869821i | 0.900474 | + | 0.434911i | \(0.143220\pi\) | ||||
−0.900474 | + | 0.434911i | \(0.856780\pi\) | |||||||
\(762\) | 1.48091e7 | + | 4.55775e6i | 0.923932 | + | 0.284357i | ||||
\(763\) | 1.92193e7i | 1.19516i | ||||||||
\(764\) | −9.69023e6 | − | 6.58878e6i | −0.600621 | − | 0.408387i | ||||
\(765\) | −1.37357e7 | − | 2.73768e7i | −0.848591 | − | 1.69133i | ||||
\(766\) | −6.66648e6 | + | 2.16607e7i | −0.410511 | + | 1.33383i | ||||
\(767\) | −7.58760e6 | − | 7.58760e6i | −0.465710 | − | 0.465710i | ||||
\(768\) | 1.92069e7 | − | 1.80028e7i | 1.17505 | − | 1.10138i | ||||
\(769\) | 8.21340e6i | 0.500850i | 0.968136 | + | 0.250425i | \(0.0805703\pi\) | ||||
−0.968136 | + | 0.250425i | \(0.919430\pi\) | |||||||
\(770\) | −4.68593e6 | − | 2.78897e7i | −0.284819 | − | 1.69518i | ||||
\(771\) | −2.89522e7 | + | 2.89522e7i | −1.75407 | + | 1.75407i | ||||
\(772\) | 1.18543e7 | − | 2.25847e6i | 0.715870 | − | 0.136386i | ||||
\(773\) | −1.32249e7 | −0.796055 | −0.398028 | − | 0.917373i | \(-0.630305\pi\) | ||||
−0.398028 | + | 0.917373i | \(0.630305\pi\) | |||||||
\(774\) | −2.42788e7 | − | 4.58676e7i | −1.45672 | − | 2.75203i | ||||
\(775\) | −1.44006e6 | + | 1.93118e6i | −0.0861242 | + | 0.115496i | ||||
\(776\) | −8.09407e6 | − | 1.01103e7i | −0.482517 | − | 0.602712i | ||||
\(777\) | −5.66849e6 | − | 5.66849e6i | −0.336833 | − | 0.336833i | ||||
\(778\) | 1.37829e7 | + | 4.24194e6i | 0.816380 | + | 0.251256i | ||||
\(779\) | 5.76064e6 | − | 5.76064e6i | 0.340116 | − | 0.340116i | ||||
\(780\) | −2.39480e7 | + | 1.83301e7i | −1.40939 | + | 1.07877i | ||||
\(781\) | −3.94254e7 | − | 3.94254e7i | −2.31286 | − | 2.31286i | ||||
\(782\) | −1.45552e7 | + | 7.70438e6i | −0.851138 | + | 0.450527i | ||||
\(783\) | 7.60391e6 | − | 7.60391e6i | 0.443233 | − | 0.443233i | ||||
\(784\) | −342120. | + | 135270.i | −0.0198787 | + | 0.00785979i | ||||
\(785\) | 3.25191e6 | − | 9.80087e6i | 0.188349 | − | 0.567663i | ||||
\(786\) | 3.11630e6 | − | 1.01255e7i | 0.179921 | − | 0.584601i | ||||
\(787\) | − | 2.08463e7i | − | 1.19975i | −0.800093 | − | 0.599876i | \(-0.795216\pi\) | ||
0.800093 | − | 0.599876i | \(-0.204784\pi\) | |||||||
\(788\) | 2.55599e7 | + | 1.73792e7i | 1.46637 | + | 0.997043i | ||||
\(789\) | −6.43965e6 | − | 6.43965e6i | −0.368273 | − | 0.368273i | ||||
\(790\) | −2.40713e6 | − | 1.43267e7i | −0.137224 | − | 0.816730i | ||||
\(791\) | −7.44931e6 | −0.423326 | ||||||||
\(792\) | −3.73563e7 | + | 2.99065e7i | −2.11617 | + | 1.69415i | ||||
\(793\) | −5.37580e6 | + | 5.37580e6i | −0.303571 | + | 0.303571i | ||||
\(794\) | 1.25621e7 | − | 6.64941e6i | 0.707149 | − | 0.374310i | ||||
\(795\) | −1.15232e7 | + | 3.47295e7i | −0.646628 | + | 1.94886i | ||||
\(796\) | −1.73618e7 | − | 1.18050e7i | −0.971208 | − | 0.660364i | ||||
\(797\) | −4.61598e6 | −0.257406 | −0.128703 | − | 0.991683i | \(-0.541081\pi\) | ||||
−0.128703 | + | 0.991683i | \(0.541081\pi\) | |||||||
\(798\) | 2.01307e7 | − | 1.06557e7i | 1.11906 | − | 0.592343i | ||||
\(799\) | −1.04618e7 | −0.579748 | ||||||||
\(800\) | −3.99661e6 | − | 1.76552e7i | −0.220784 | − | 0.975323i | ||||
\(801\) | −4.50445e7 | −2.48062 | ||||||||
\(802\) | −1.92478e7 | + | 1.01883e7i | −1.05668 | + | 0.559327i | ||||
\(803\) | 7.48475e6 | 0.409627 | ||||||||
\(804\) | 2.11579e6 | + | 1.43861e6i | 0.115434 | + | 0.0784882i | ||||
\(805\) | 4.74629e6 | − | 1.43047e7i | 0.258145 | − | 0.778020i | ||||
\(806\) | 2.58809e6 | − | 1.36994e6i | 0.140327 | − | 0.0742785i | ||||
\(807\) | 6.72678e6 | − | 6.72678e6i | 0.363600 | − | 0.363600i | ||||
\(808\) | −1.11376e7 | − | 1.39119e7i | −0.600153 | − | 0.749652i | ||||
\(809\) | −2.51403e7 | −1.35052 | −0.675258 | − | 0.737582i | \(-0.735968\pi\) | ||||
−0.675258 | + | 0.737582i | \(0.735968\pi\) | |||||||
\(810\) | 166044. | + | 988259.i | 0.00889223 | + | 0.0529247i | ||||
\(811\) | 5.83568e6 | + | 5.83568e6i | 0.311558 | + | 0.311558i | 0.845513 | − | 0.533955i | \(-0.179295\pi\) |
−0.533955 | + | 0.845513i | \(0.679295\pi\) | |||||||
\(812\) | 1.02926e7 | + | 6.99836e6i | 0.547816 | + | 0.372483i | ||||
\(813\) | 3.00179e7i | 1.59277i | ||||||||
\(814\) | 2.76804e6 | − | 8.99393e6i | 0.146424 | − | 0.475760i | ||||
\(815\) | 1.02395e7 | − | 3.08606e7i | 0.539987 | − | 1.62746i | ||||
\(816\) | −3.33725e7 | − | 1.44601e7i | −1.75454 | − | 0.760231i | ||||
\(817\) | −2.05038e7 | + | 2.05038e7i | −1.07468 | + | 1.07468i | ||||
\(818\) | −6.64155e6 | + | 3.51553e6i | −0.347045 | + | 0.183699i | ||||
\(819\) | −2.40942e7 | − | 2.40942e7i | −1.25517 | − | 1.25517i | ||||
\(820\) | 9.45398e6 | − | 7.23619e6i | 0.490998 | − | 0.375816i | ||||
\(821\) | 2.20349e7 | − | 2.20349e7i | 1.14091 | − | 1.14091i | 0.152630 | − | 0.988283i | \(-0.451226\pi\) |
0.988283 | − | 0.152630i | \(-0.0487743\pi\) | |||||||
\(822\) | 5.37896e7 | + | 1.65547e7i | 2.77663 | + | 0.854559i | ||||
\(823\) | 1.08933e7 | + | 1.08933e7i | 0.560609 | + | 0.560609i | 0.929480 | − | 0.368871i | \(-0.120256\pi\) |
−0.368871 | + | 0.929480i | \(0.620256\pi\) | |||||||
\(824\) | 1.17406e7 | − | 9.39927e6i | 0.602384 | − | 0.482254i | ||||
\(825\) | 7.71983e6 | + | 5.29918e7i | 0.394887 | + | 2.71065i | ||||
\(826\) | 5.54064e6 | + | 1.04674e7i | 0.282559 | + | 0.533813i | ||||
\(827\) | −9.44717e6 | −0.480328 | −0.240164 | − | 0.970732i | \(-0.577201\pi\) | ||||
−0.240164 | + | 0.970732i | \(0.577201\pi\) | |||||||
\(828\) | −2.50516e7 | + | 4.77279e6i | −1.26987 | + | 0.241934i | ||||
\(829\) | −1.49221e7 | + | 1.49221e7i | −0.754123 | + | 0.754123i | −0.975246 | − | 0.221123i | \(-0.929028\pi\) |
0.221123 | + | 0.975246i | \(0.429028\pi\) | |||||||
\(830\) | 4.01184e6 | + | 2.38776e7i | 0.202138 | + | 1.20308i | ||||
\(831\) | 1.37886e7i | 0.692654i | ||||||||
\(832\) | −4.81513e6 | + | 2.14710e7i | −0.241157 | + | 1.07533i | ||||
\(833\) | 359406. | + | 359406.i | 0.0179462 | + | 0.0179462i | ||||
\(834\) | −7.76552e6 | + | 2.52317e7i | −0.386594 | + | 1.25612i | ||||
\(835\) | 850167. | + | 1.69447e6i | 0.0421976 | + | 0.0841043i | ||||
\(836\) | 2.21102e7 | + | 1.50336e7i | 1.09415 | + | 0.743958i | ||||
\(837\) | 2.79240e6i | 0.137773i | ||||||||
\(838\) | 2.40331e7 | + | 7.39662e6i | 1.18222 | + | 0.363851i | ||||
\(839\) | 1.84777e7i | 0.906239i | 0.891450 | + | 0.453120i | \(0.149689\pi\) | ||||
−0.891450 | + | 0.453120i | \(0.850311\pi\) | |||||||
\(840\) | 3.12133e7 | − | 1.15612e7i | 1.52631 | − | 0.565331i | ||||
\(841\) | 1.16983e7i | 0.570338i | ||||||||
\(842\) | 4.41609e6 | − | 1.43487e7i | 0.214663 | − | 0.697483i | ||||
\(843\) | − | 1.39450e7i | − | 0.675851i | ||||||
\(844\) | 3.47438e6 | + | 1.82365e7i | 0.167889 | + | 0.881221i | ||||
\(845\) | 1.40205e6 | − | 4.22561e6i | 0.0675494 | − | 0.203586i | ||||
\(846\) | −1.54839e7 | − | 4.76545e6i | −0.743797 | − | 0.228917i | ||||
\(847\) | 2.82436e7 | + | 2.82436e7i | 1.35273 | + | 1.35273i | ||||
\(848\) | 9.81671e6 | + | 2.48281e7i | 0.468788 | + | 1.18564i | ||||
\(849\) | − | 3.54221e7i | − | 1.68657i | ||||||
\(850\) | −2.01864e7 | + | 1.47644e7i | −0.958323 | + | 0.700920i | ||||
\(851\) | 3.54615e6 | − | 3.54615e6i | 0.167855 | − | 0.167855i | ||||
\(852\) | 3.68986e7 | − | 5.42674e7i | 1.74145 | − | 2.56118i | ||||
\(853\) | 8.67132e6 | 0.408049 | 0.204025 | − | 0.978966i | \(-0.434598\pi\) | ||||
0.204025 | + | 0.978966i | \(0.434598\pi\) | |||||||
\(854\) | 7.41615e6 | − | 3.92554e6i | 0.347963 | − | 0.184185i | ||||
\(855\) | −2.36873e7 | + | 1.18846e7i | −1.10815 | + | 0.555993i | ||||
\(856\) | −2.38345e6 | + | 2.15199e7i | −0.111179 | + | 1.00382i | ||||
\(857\) | −7.50854e6 | − | 7.50854e6i | −0.349223 | − | 0.349223i | 0.510597 | − | 0.859820i | \(-0.329424\pi\) |
−0.859820 | + | 0.510597i | \(0.829424\pi\) | |||||||
\(858\) | 1.91480e7 | − | 6.22156e7i | 0.887983 | − | 2.88524i | ||||
\(859\) | 397645. | − | 397645.i | 0.0183871 | − | 0.0183871i | −0.697853 | − | 0.716241i | \(-0.745861\pi\) |
0.716241 | + | 0.697853i | \(0.245861\pi\) | |||||||
\(860\) | −3.36495e7 | + | 2.57557e7i | −1.55143 | + | 1.18748i | ||||
\(861\) | 1.54797e7 | + | 1.54797e7i | 0.711632 | + | 0.711632i | ||||
\(862\) | −1.79264e7 | − | 3.38666e7i | −0.821722 | − | 1.55240i | ||||
\(863\) | 1.86871e7 | − | 1.86871e7i | 0.854114 | − | 0.854114i | −0.136523 | − | 0.990637i | \(-0.543593\pi\) |
0.990637 | + | 0.136523i | \(0.0435927\pi\) | |||||||
\(864\) | −1.59477e7 | − | 1.36367e7i | −0.726797 | − | 0.621477i | ||||
\(865\) | 1.38759e7 | + | 4.60398e6i | 0.630550 | + | 0.209215i | ||||
\(866\) | −2.25853e7 | − | 6.95105e6i | −1.02337 | − | 0.314960i | ||||
\(867\) | 1.46033e7i | 0.659785i | ||||||||
\(868\) | −3.17490e6 | + | 604876.i | −0.143031 | + | 0.0272500i | ||||
\(869\) | 2.21731e7 | + | 2.21731e7i | 0.996042 | + | 0.996042i | ||||
\(870\) | −1.91962e7 | − | 1.36736e7i | −0.859841 | − | 0.612468i | ||||
\(871\) | −2.13861e6 | −0.0955184 | ||||||||
\(872\) | −1.65952e7 | − | 2.07291e7i | −0.739079 | − | 0.923184i | ||||
\(873\) | −1.95930e7 | + | 1.95930e7i | −0.870091 | + | 0.870091i | ||||
\(874\) | 6.66608e6 | + | 1.25936e7i | 0.295183 | + | 0.557662i | ||||
\(875\) | 4.00095e6 | − | 2.25359e7i | 0.176662 | − | 0.995071i | ||||
\(876\) | 1.64869e6 | + | 8.65374e6i | 0.0725905 | + | 0.381016i | ||||
\(877\) | −1.01382e7 | −0.445103 | −0.222551 | − | 0.974921i | \(-0.571438\pi\) | ||||
−0.222551 | + | 0.974921i | \(0.571438\pi\) | |||||||
\(878\) | −7.74235e6 | − | 1.46269e7i | −0.338951 | − | 0.640347i | ||||
\(879\) | 3.42433e7 | 1.49487 | ||||||||
\(880\) | 2.91358e7 | + | 2.60344e7i | 1.26830 | + | 1.13329i | ||||
\(881\) | 2.56971e7 | 1.11543 | 0.557717 | − | 0.830031i | \(-0.311677\pi\) | ||||
0.557717 | + | 0.830031i | \(0.311677\pi\) | |||||||
\(882\) | 368223. | + | 695649.i | 0.0159382 | + | 0.0301105i | ||||
\(883\) | 3.71032e7 | 1.60144 | 0.800719 | − | 0.599041i | \(-0.204451\pi\) | ||||
0.800719 | + | 0.599041i | \(0.204451\pi\) | |||||||
\(884\) | 2.98639e7 | − | 5.68961e6i | 1.28533 | − | 0.244879i | ||||
\(885\) | −1.00570e7 | − | 2.00447e7i | −0.431630 | − | 0.860285i | ||||
\(886\) | −8.35474e6 | − | 1.57838e7i | −0.357560 | − | 0.675503i | ||||
\(887\) | 2.13398e7 | − | 2.13398e7i | 0.910714 | − | 0.910714i | −0.0856141 | − | 0.996328i | \(-0.527285\pi\) |
0.996328 | + | 0.0856141i | \(0.0272852\pi\) | |||||||
\(888\) | 1.10083e7 | + | 1.21924e6i | 0.468479 | + | 0.0518866i | ||||
\(889\) | 1.42946e7 | 0.606623 | ||||||||
\(890\) | 6.09421e6 | + | 3.62714e7i | 0.257895 | + | 1.53493i | ||||
\(891\) | −1.52951e6 | − | 1.52951e6i | −0.0645442 | − | 0.0645442i | ||||
\(892\) | −270926. | − | 1.42205e6i | −0.0114009 | − | 0.0598415i | ||||
\(893\) | 9.05188e6i | 0.379848i | ||||||||
\(894\) | −6.87214e6 | − | 2.11502e6i | −0.287573 | − | 0.0885058i | ||||
\(895\) | −1.87068e7 | + | 9.38574e6i | −0.780623 | + | 0.391662i | ||||
\(896\) | 1.20501e7 | − | 2.10861e7i | 0.501444 | − | 0.877457i | ||||
\(897\) | 2.45306e7 | − | 2.45306e7i | 1.01795 | − | 1.01795i | ||||
\(898\) | −1.36707e7 | − | 2.58268e7i | −0.565719 | − | 1.06876i | ||||
\(899\) | 1.61818e6 | + | 1.61818e6i | 0.0667772 | + | 0.0667772i | ||||
\(900\) | −3.66021e7 | + | 1.26568e7i | −1.50626 | + | 0.520857i | ||||
\(901\) | 2.60826e7 | − | 2.60826e7i | 1.07038 | − | 1.07038i | ||||
\(902\) | −7.55908e6 | + | 2.45610e7i | −0.309352 | + | 1.00515i | ||||
\(903\) | −5.50969e7 | − | 5.50969e7i | −2.24858 | − | 2.24858i | ||||
\(904\) | 8.03450e6 | − | 6.43223e6i | 0.326993 | − | 0.261782i | ||||
\(905\) | 950800. | + | 1.89504e6i | 0.0385894 | + | 0.0769127i | ||||
\(906\) | 4.85891e7 | − | 2.57193e7i | 1.96661 | − | 1.04097i | ||||
\(907\) | 3.55838e7 | 1.43626 | 0.718132 | − | 0.695907i | \(-0.244997\pi\) | ||||
0.718132 | + | 0.695907i | \(0.244997\pi\) | |||||||
\(908\) | −6.13518e6 | − | 4.17156e6i | −0.246952 | − | 0.167913i | ||||
\(909\) | −2.69602e7 | + | 2.69602e7i | −1.08222 | + | 1.08222i | ||||
\(910\) | −1.61417e7 | + | 2.26613e7i | −0.646169 | + | 0.907153i | ||||
\(911\) | 156152.i | 0.00623380i | 0.999995 | + | 0.00311690i | \(0.000992141\pi\) | ||||
−0.999995 | + | 0.00311690i | \(0.999008\pi\) | |||||||
\(912\) | −1.25113e7 | + | 2.88750e7i | −0.498100 | + | 1.14957i | ||||
\(913\) | −3.69549e7 | − | 3.69549e7i | −1.46722 | − | 1.46722i | ||||
\(914\) | 2.70605e7 | + | 8.32836e6i | 1.07145 | + | 0.329757i | ||||
\(915\) | −1.42017e7 | + | 7.12540e6i | −0.560773 | + | 0.281356i | ||||
\(916\) | 1.88546e6 | − | 359214.i | 0.0742469 | − | 0.0141454i | ||||
\(917\) | − | 9.77376e6i | − | 0.383829i | ||||||
\(918\) | −8.52750e6 | + | 2.77076e7i | −0.333976 | + | 1.08515i | ||||
\(919\) | 1.28715e7i | 0.502737i | 0.967892 | + | 0.251368i | \(0.0808805\pi\) | ||||
−0.967892 | + | 0.251368i | \(0.919119\pi\) | |||||||
\(920\) | 7.23254e6 | + | 1.95267e7i | 0.281722 | + | 0.760607i | ||||
\(921\) | − | 1.11889e7i | − | 0.434647i | ||||||
\(922\) | −2.40278e7 | − | 7.39499e6i | −0.930865 | − | 0.286490i | ||||
\(923\) | 5.48527e7i | 2.11931i | ||||||||
\(924\) | −4.03977e7 | + | 5.94136e7i | −1.55660 | + | 2.28932i | ||||
\(925\) | 4.55272e6 | − | 6.10540e6i | 0.174951 | − | 0.234617i | ||||
\(926\) | −1.04323e6 | + | 3.38968e6i | −0.0399810 | + | 0.129906i | ||||
\(927\) | −2.27524e7 | − | 2.27524e7i | −0.869617 | − | 0.869617i | ||||
\(928\) | −1.71440e7 | + | 1.33919e6i | −0.653495 | + | 0.0510473i | ||||
\(929\) | 1.72862e6i | 0.0657145i | 0.999460 | + | 0.0328573i | \(0.0104607\pi\) | ||||
−0.999460 | + | 0.0328573i | \(0.989539\pi\) | |||||||
\(930\) | 6.03543e6 | − | 1.01405e6i | 0.228823 | − | 0.0384462i | ||||
\(931\) | 310970. | − | 310970.i | 0.0117583 | − | 0.0117583i | ||||
\(932\) | 4.32866e6 | + | 2.27205e7i | 0.163235 | + | 0.856796i | ||||
\(933\) | 4.38855e7 | 1.65051 | ||||||||
\(934\) | −1.19726e7 | − | 2.26187e7i | −0.449078 | − | 0.848401i | ||||
\(935\) | 1.70001e7 | − | 5.12363e7i | 0.635949 | − | 1.91668i | ||||
\(936\) | 4.67915e7 | + | 5.18242e6i | 1.74573 | + | 0.193349i | ||||
\(937\) | −2.72025e7 | − | 2.72025e7i | −1.01219 | − | 1.01219i | −0.999925 | − | 0.0122612i | \(-0.996097\pi\) |
−0.0122612 | − | 0.999925i | \(-0.503903\pi\) | |||||||
\(938\) | 2.25599e6 | + | 694321.i | 0.0837201 | + | 0.0257664i | ||||
\(939\) | 3.06168e6 | − | 3.06168e6i | 0.113317 | − | 0.113317i | ||||
\(940\) | −1.74244e6 | + | 1.31129e7i | −0.0643190 | + | 0.484038i | ||||
\(941\) | 2.81852e7 | + | 2.81852e7i | 1.03764 | + | 1.03764i | 0.999263 | + | 0.0383766i | \(0.0122186\pi\) |
0.0383766 | + | 0.999263i | \(0.487781\pi\) | |||||||
\(942\) | −2.31860e7 | + | 1.22729e7i | −0.851333 | + | 0.450630i | ||||
\(943\) | −9.68396e6 | + | 9.68396e6i | −0.354629 | + | 0.354629i | ||||
\(944\) | −1.50142e7 | − | 6.50553e6i | −0.548366 | − | 0.237604i | ||||
\(945\) | −1.18979e7 | − | 2.37138e7i | −0.433402 | − | 0.863816i | ||||
\(946\) | 2.69049e7 | − | 8.74196e7i | 0.977472 | − | 3.17600i | ||||
\(947\) | 2.89380e7i | 1.04856i | 0.851546 | + | 0.524280i | \(0.175665\pi\) | ||||
−0.851546 | + | 0.524280i | \(0.824335\pi\) | |||||||
\(948\) | −2.07520e7 | + | 3.05203e7i | −0.749962 | + | 1.10298i | ||||
\(949\) | −5.20678e6 | − | 5.20678e6i | −0.187674 | − | 0.187674i | ||||
\(950\) | 1.27746e7 | + | 1.74659e7i | 0.459240 | + | 0.627889i | ||||
\(951\) | 1.89590e7 | 0.679772 | ||||||||
\(952\) | −3.33501e7 | − | 3.69371e6i | −1.19263 | − | 0.132090i | ||||
\(953\) | 2.59461e7 | − | 2.59461e7i | 0.925422 | − | 0.925422i | −0.0719834 | − | 0.997406i | \(-0.522933\pi\) |
0.997406 | + | 0.0719834i | \(0.0229328\pi\) | |||||||
\(954\) | 5.04841e7 | − | 2.67224e7i | 1.79591 | − | 0.950616i | ||||
\(955\) | 1.94290e7 | + | 6.44652e6i | 0.689355 | + | 0.228727i | ||||
\(956\) | −1.70639e7 | + | 2.50962e7i | −0.603857 | + | 0.888103i | ||||
\(957\) | 5.08719e7 | 1.79555 | ||||||||
\(958\) | 2.17478e7 | − | 1.15116e7i | 0.765600 | − | 0.405250i | ||||
\(959\) | 5.19211e7 | 1.82304 | ||||||||
\(960\) | −2.36827e7 | + | 3.94210e7i | −0.829379 | + | 1.38054i | ||||
\(961\) | 2.80349e7 | 0.979243 | ||||||||
\(962\) | −8.18223e6 | + | 4.33105e6i | −0.285059 | + | 0.150888i | ||||
\(963\) | 4.63229e7 | 1.60964 | ||||||||
\(964\) | −2.24077e7 | + | 3.29554e7i | −0.776615 | + | 1.14218i | ||||
\(965\) | −1.88425e7 | + | 9.45384e6i | −0.651359 | + | 0.326806i | ||||
\(966\) | −3.38409e7 | + | 1.79128e7i | −1.16681 | + | 0.617619i | ||||
\(967\) | −2.86643e7 | + | 2.86643e7i | −0.985769 | + | 0.985769i | −0.999900 | − | 0.0141312i | \(-0.995502\pi\) |
0.0141312 | + | 0.999900i | \(0.495502\pi\) | |||||||
\(968\) | −5.48497e7 | − | 6.07492e6i | −1.88142 | − | 0.208378i | ||||
\(969\) | 4.34775e7 | 1.48749 | ||||||||
\(970\) | 1.84277e7 | + | 1.31262e7i | 0.628844 | + | 0.447928i | ||||
\(971\) | 1.75400e7 | + | 1.75400e7i | 0.597009 | + | 0.597009i | 0.939516 | − | 0.342506i | \(-0.111276\pi\) |
−0.342506 | + | 0.939516i | \(0.611276\pi\) | |||||||
\(972\) | 1.72695e7 | − | 2.53985e7i | 0.586291 | − | 0.862268i | ||||
\(973\) | 2.43553e7i | 0.824728i | ||||||||
\(974\) | −5.80673e6 | + | 1.88672e7i | −0.196125 | + | 0.637251i | ||||
\(975\) | 3.14935e7 | − | 4.22342e7i | 1.06099 | − | 1.42283i | ||||
\(976\) | −4.60916e6 | + | 1.06375e7i | −0.154881 | + | 0.357450i | ||||
\(977\) | −3.59646e6 | + | 3.59646e6i | −0.120542 | + | 0.120542i | −0.764805 | − | 0.644262i | \(-0.777164\pi\) |
0.644262 | + | 0.764805i | \(0.277164\pi\) | |||||||
\(978\) | −7.30072e7 | + | 3.86444e7i | −2.44072 | + | 1.29193i | ||||
\(979\) | −5.61365e7 | − | 5.61365e7i | −1.87192 | − | 1.87192i | ||||
\(980\) | 510343. | − | 390623.i | 0.0169745 | − | 0.0129925i | ||||
\(981\) | −4.01713e7 | + | 4.01713e7i | −1.33273 | + | 1.33273i | ||||
\(982\) | 2.28068e7 | + | 7.01921e6i | 0.754720 | + | 0.232279i | ||||
\(983\) | 1.41813e6 | + | 1.41813e6i | 0.0468092 | + | 0.0468092i | 0.730124 | − | 0.683315i | \(-0.239462\pi\) |
−0.683315 | + | 0.730124i | \(0.739462\pi\) | |||||||
\(984\) | −3.00620e7 | − | 3.32954e6i | −0.989761 | − | 0.109622i | ||||
\(985\) | −5.12478e7 | − | 1.70039e7i | −1.68300 | − | 0.558417i | ||||
\(986\) | 1.11147e7 | + | 2.09980e7i | 0.364089 | + | 0.687838i | ||||
\(987\) | −2.43238e7 | −0.794765 | ||||||||
\(988\) | −4.92283e6 | − | 2.58392e7i | −0.160444 | − | 0.842144i | ||||
\(989\) | 3.44680e7 | − | 3.44680e7i | 1.12054 | − | 1.12054i | ||||
\(990\) | 4.84995e7 | − | 6.80881e7i | 1.57271 | − | 2.20792i | ||||
\(991\) | 1.94713e7i | 0.629813i | 0.949123 | + | 0.314906i | \(0.101973\pi\) | ||||
−0.949123 | + | 0.314906i | \(0.898027\pi\) | |||||||
\(992\) | 2.90202e6 | − | 3.39381e6i | 0.0936313 | − | 0.109499i | ||||
\(993\) | 7.92179e6 | + | 7.92179e6i | 0.254947 | + | 0.254947i | ||||
\(994\) | 1.78084e7 | − | 5.78632e7i | 0.571689 | − | 1.85753i | ||||
\(995\) | 3.48106e7 | + | 1.15501e7i | 1.11469 | + | 0.369852i | ||||
\(996\) | 3.45864e7 | − | 5.08667e7i | 1.10473 | − | 1.62475i | ||||
\(997\) | 2.24649e7i | 0.715757i | 0.933768 | + | 0.357879i | \(0.116500\pi\) | ||||
−0.933768 | + | 0.357879i | \(0.883500\pi\) | |||||||
\(998\) | −8.68540e6 | − | 2.67309e6i | −0.276035 | − | 0.0849546i | ||||
\(999\) | − | 8.82814e6i | − | 0.279870i |
(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 | 80.6.s.a.3.9 | yes | 116 | |
5.2 | odd | 4 | 80.6.j.a.67.23 | yes | 116 | ||
16.11 | odd | 4 | 80.6.j.a.43.23 | ✓ | 116 | ||
80.27 | even | 4 | inner | 80.6.s.a.27.9 | yes | 116 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.6.j.a.43.23 | ✓ | 116 | 16.11 | odd | 4 | ||
80.6.j.a.67.23 | yes | 116 | 5.2 | odd | 4 | ||
80.6.s.a.3.9 | yes | 116 | 1.1 | even | 1 | trivial | |
80.6.s.a.27.9 | yes | 116 | 80.27 | even | 4 | inner |