Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.6.e.a.11.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.14533 | + | 2.69016i | −0.379245 | + | 0.475558i | −0.934419 | − | 0.356176i | \(-0.884080\pi\) |
0.555174 | + | 0.831734i | \(0.312652\pi\) | |||||||
\(3\) | 12.6069 | + | 15.8086i | 0.808735 | + | 1.01412i | 0.999472 | + | 0.0324801i | \(0.0103405\pi\) |
−0.190738 | + | 0.981641i | \(0.561088\pi\) | |||||||
\(4\) | 4.48615 | + | 19.6551i | 0.140192 | + | 0.614222i | ||||
\(5\) | 43.8967 | + | 21.1395i | 0.785248 | + | 0.378156i | 0.783143 | − | 0.621842i | \(-0.213615\pi\) |
0.00210567 | + | 0.999998i | \(0.499330\pi\) | |||||||
\(6\) | −69.5737 | −0.788982 | ||||||||
\(7\) | 137.995 | 1.06443 | 0.532217 | − | 0.846608i | \(-0.321359\pi\) | ||||
0.532217 | + | 0.846608i | \(0.321359\pi\) | |||||||
\(8\) | −161.703 | − | 77.8719i | −0.893290 | − | 0.430186i | ||||
\(9\) | −36.9042 | + | 161.688i | −0.151869 | + | 0.665382i | ||||
\(10\) | −151.042 | + | 72.7379i | −0.477636 | + | 0.230017i | ||||
\(11\) | 52.0013 | − | 227.833i | 0.129578 | − | 0.567720i | −0.867899 | − | 0.496740i | \(-0.834530\pi\) |
0.997478 | − | 0.0709799i | \(-0.0226126\pi\) | |||||||
\(12\) | −254.163 | + | 318.710i | −0.509517 | + | 0.638915i | ||||
\(13\) | 4.63999 | + | 2.23450i | 0.00761480 | + | 0.00366710i | 0.437687 | − | 0.899127i | \(-0.355798\pi\) |
−0.430072 | + | 0.902794i | \(0.641512\pi\) | |||||||
\(14\) | −296.045 | + | 371.229i | −0.403681 | + | 0.506200i | ||||
\(15\) | 219.216 | + | 960.449i | 0.251562 | + | 1.10216i | ||||
\(16\) | −24.8557 | + | 11.9699i | −0.0242731 | + | 0.0116893i | ||||
\(17\) | −1217.05 | + | 586.102i | −1.02138 | + | 0.491870i | −0.868140 | − | 0.496319i | \(-0.834685\pi\) |
−0.153239 | + | 0.988189i | \(0.548970\pi\) | |||||||
\(18\) | −355.794 | − | 446.152i | −0.258832 | − | 0.324565i | ||||
\(19\) | −93.4247 | − | 409.321i | −0.0593715 | − | 0.260123i | 0.936528 | − | 0.350594i | \(-0.114020\pi\) |
−0.995899 | + | 0.0904702i | \(0.971163\pi\) | |||||||
\(20\) | −218.573 | + | 957.630i | −0.122186 | + | 0.535332i | ||||
\(21\) | 1739.69 | + | 2181.51i | 0.860844 | + | 1.07946i | ||||
\(22\) | 501.346 | + | 628.669i | 0.220842 | + | 0.276927i | ||||
\(23\) | 469.891 | − | 2058.73i | 0.185216 | − | 0.811482i | −0.793879 | − | 0.608076i | \(-0.791942\pi\) |
0.979094 | − | 0.203406i | \(-0.0652012\pi\) | |||||||
\(24\) | −807.529 | − | 3538.02i | −0.286174 | − | 1.25381i | ||||
\(25\) | −468.364 | − | 587.310i | −0.149877 | − | 0.187939i | ||||
\(26\) | −15.9655 | + | 7.68857i | −0.00463179 | + | 0.00223055i | ||||
\(27\) | 1405.56 | − | 676.881i | 0.371056 | − | 0.178691i | ||||
\(28\) | 619.067 | + | 2712.31i | 0.149225 | + | 0.653799i | ||||
\(29\) | 2738.41 | − | 3433.86i | 0.604649 | − | 0.758206i | −0.381446 | − | 0.924391i | \(-0.624574\pi\) |
0.986095 | + | 0.166185i | \(0.0531451\pi\) | |||||||
\(30\) | −3054.06 | − | 1470.76i | −0.619546 | − | 0.298358i | ||||
\(31\) | 579.035 | − | 726.087i | 0.108218 | − | 0.135701i | −0.724773 | − | 0.688988i | \(-0.758055\pi\) |
0.832991 | + | 0.553287i | \(0.186627\pi\) | |||||||
\(32\) | 1299.12 | − | 5691.80i | 0.224271 | − | 0.982595i | ||||
\(33\) | 4257.29 | − | 2050.20i | 0.680531 | − | 0.327727i | ||||
\(34\) | 1034.27 | − | 4531.45i | 0.153440 | − | 0.672264i | ||||
\(35\) | 6057.53 | + | 2917.15i | 0.835845 | + | 0.402522i | ||||
\(36\) | −3343.55 | −0.429983 | ||||||||
\(37\) | 3042.10 | 0.365316 | 0.182658 | − | 0.983176i | \(-0.441530\pi\) | ||||
0.182658 | + | 0.983176i | \(0.441530\pi\) | |||||||
\(38\) | 1301.57 | + | 626.801i | 0.146220 | + | 0.0704159i | ||||
\(39\) | 23.1717 | + | 101.522i | 0.00243947 | + | 0.0106880i | ||||
\(40\) | −5452.04 | − | 6836.64i | −0.538777 | − | 0.675605i | ||||
\(41\) | −9698.16 | + | 12161.1i | −0.901010 | + | 1.12983i | 0.0899865 | + | 0.995943i | \(0.471318\pi\) |
−0.990997 | + | 0.133888i | \(0.957254\pi\) | |||||||
\(42\) | −9600.83 | −0.839819 | ||||||||
\(43\) | 4360.63 | + | 11313.4i | 0.359648 | + | 0.933088i | ||||
\(44\) | 4711.36 | 0.366872 | ||||||||
\(45\) | −5037.98 | + | 6317.42i | −0.370873 | + | 0.465060i | ||||
\(46\) | 4530.23 | + | 5680.73i | 0.315665 | + | 0.395831i | ||||
\(47\) | −619.220 | − | 2712.98i | −0.0408884 | − | 0.179144i | 0.950360 | − | 0.311152i | \(-0.100715\pi\) |
−0.991249 | + | 0.132008i | \(0.957858\pi\) | |||||||
\(48\) | −502.580 | − | 242.030i | −0.0314849 | − | 0.0151623i | ||||
\(49\) | 2235.66 | 0.133019 | ||||||||
\(50\) | 2584.76 | 0.146216 | ||||||||
\(51\) | −24608.7 | − | 11850.9i | −1.32484 | − | 0.638010i | ||||
\(52\) | −23.1037 | + | 101.224i | −0.00118488 | + | 0.00519128i | ||||
\(53\) | 24728.1 | − | 11908.4i | 1.20921 | − | 0.582325i | 0.282923 | − | 0.959143i | \(-0.408696\pi\) |
0.926288 | + | 0.376818i | \(0.122982\pi\) | |||||||
\(54\) | −1194.47 | + | 5233.31i | −0.0557431 | + | 0.244226i | ||||
\(55\) | 7098.96 | − | 8901.82i | 0.316438 | − | 0.396800i | ||||
\(56\) | −22314.2 | − | 10745.9i | −0.950848 | − | 0.457904i | ||||
\(57\) | 5292.98 | − | 6637.19i | 0.215781 | − | 0.270581i | ||||
\(58\) | 3362.83 | + | 14733.5i | 0.131261 | + | 0.575091i | ||||
\(59\) | −25514.7 | + | 12287.2i | −0.954245 | + | 0.459540i | −0.845172 | − | 0.534494i | \(-0.820502\pi\) |
−0.109072 | + | 0.994034i | \(0.534788\pi\) | |||||||
\(60\) | −17894.3 | + | 8617.44i | −0.641707 | + | 0.309030i | ||||
\(61\) | 26948.0 | + | 33791.7i | 0.927260 | + | 1.16275i | 0.986378 | + | 0.164496i | \(0.0525997\pi\) |
−0.0591181 | + | 0.998251i | \(0.518829\pi\) | |||||||
\(62\) | 711.069 | + | 3115.40i | 0.0234927 | + | 0.102928i | ||||
\(63\) | −5092.60 | + | 22312.1i | −0.161655 | + | 0.708255i | ||||
\(64\) | 11974.4 | + | 15015.4i | 0.365430 | + | 0.458234i | ||||
\(65\) | 156.444 | + | 196.175i | 0.00459278 | + | 0.00575916i | ||||
\(66\) | −3617.92 | + | 15851.2i | −0.102235 | + | 0.447921i | ||||
\(67\) | 11422.6 | + | 50045.7i | 0.310869 | + | 1.36201i | 0.853087 | + | 0.521770i | \(0.174728\pi\) |
−0.542217 | + | 0.840238i | \(0.682415\pi\) | |||||||
\(68\) | −16979.8 | − | 21292.0i | −0.445307 | − | 0.558397i | ||||
\(69\) | 38469.4 | − | 18525.9i | 0.972731 | − | 0.468443i | ||||
\(70\) | −20843.0 | + | 10037.5i | −0.508412 | + | 0.244838i | ||||
\(71\) | −17667.4 | − | 77405.9i | −0.415936 | − | 1.82233i | −0.554751 | − | 0.832016i | \(-0.687186\pi\) |
0.138815 | − | 0.990318i | \(-0.455671\pi\) | |||||||
\(72\) | 18558.4 | − | 23271.6i | 0.421901 | − | 0.529047i | ||||
\(73\) | 1992.54 | + | 959.555i | 0.0437622 | + | 0.0210748i | 0.455637 | − | 0.890166i | \(-0.349412\pi\) |
−0.411875 | + | 0.911241i | \(0.635126\pi\) | |||||||
\(74\) | −6526.31 | + | 8183.74i | −0.138544 | + | 0.173729i | ||||
\(75\) | 3379.91 | − | 14808.4i | 0.0693828 | − | 0.303986i | ||||
\(76\) | 7626.12 | − | 3672.55i | 0.151450 | − | 0.0729346i | ||||
\(77\) | 7175.93 | − | 31439.8i | 0.137928 | − | 0.604300i | ||||
\(78\) | −322.821 | − | 155.462i | −0.00600794 | − | 0.00289327i | ||||
\(79\) | 14224.6 | 0.256432 | 0.128216 | − | 0.991746i | \(-0.459075\pi\) | ||||
0.128216 | + | 0.991746i | \(0.459075\pi\) | |||||||
\(80\) | −1344.12 | −0.0234808 | ||||||||
\(81\) | 64729.8 | + | 31172.2i | 1.09621 | + | 0.527905i | ||||
\(82\) | −11909.6 | − | 52179.2i | −0.195597 | − | 0.856965i | ||||
\(83\) | −20116.6 | − | 25225.5i | −0.320524 | − | 0.401924i | 0.595301 | − | 0.803503i | \(-0.297033\pi\) |
−0.915824 | + | 0.401579i | \(0.868462\pi\) | |||||||
\(84\) | −35073.2 | + | 43980.5i | −0.542348 | + | 0.680082i | ||||
\(85\) | −65814.5 | −0.988040 | ||||||||
\(86\) | −39789.9 | − | 12540.2i | −0.580132 | − | 0.182835i | ||||
\(87\) | 88807.3 | 1.25791 | ||||||||
\(88\) | −26150.5 | + | 32791.7i | −0.359976 | + | 0.451396i | ||||
\(89\) | −66784.1 | − | 83744.6i | −0.893713 | − | 1.12068i | −0.992090 | − | 0.125531i | \(-0.959937\pi\) |
0.0983770 | − | 0.995149i | \(-0.468635\pi\) | |||||||
\(90\) | −6186.75 | − | 27105.9i | −0.0805112 | − | 0.352743i | ||||
\(91\) | 640.296 | + | 308.350i | 0.00810545 | + | 0.00390338i | ||||
\(92\) | 42572.5 | 0.524396 | ||||||||
\(93\) | 18778.3 | 0.225138 | ||||||||
\(94\) | 8626.79 | + | 4154.44i | 0.100700 | + | 0.0484946i | ||||
\(95\) | 4551.81 | − | 19942.8i | 0.0517458 | − | 0.226713i | ||||
\(96\) | 106357. | − | 51218.9i | 1.17785 | − | 0.567221i | ||||
\(97\) | 40101.0 | − | 175694.i | 0.432739 | − | 1.89595i | −0.0112796 | − | 0.999936i | \(-0.503590\pi\) |
0.444019 | − | 0.896018i | \(-0.353552\pi\) | |||||||
\(98\) | −4796.23 | + | 6014.28i | −0.0504469 | + | 0.0632584i | ||||
\(99\) | 34918.7 | + | 16815.9i | 0.358072 | + | 0.172438i | ||||
\(100\) | 9442.50 | − | 11840.5i | 0.0944250 | − | 0.118405i | ||||
\(101\) | 25296.5 | + | 110831.i | 0.246750 | + | 1.08108i | 0.934731 | + | 0.355355i | \(0.115640\pi\) |
−0.687981 | + | 0.725729i | \(0.741503\pi\) | |||||||
\(102\) | 84674.8 | − | 40777.2i | 0.805849 | − | 0.388077i | ||||
\(103\) | −147188. | + | 70882.1i | −1.36704 | + | 0.658330i | −0.966194 | − | 0.257817i | \(-0.916997\pi\) |
−0.400843 | + | 0.916147i | \(0.631283\pi\) | |||||||
\(104\) | −576.294 | − | 722.650i | −0.00522469 | − | 0.00655156i | ||||
\(105\) | 30250.8 | + | 132537.i | 0.267771 | + | 1.17318i | ||||
\(106\) | −21014.4 | + | 92070.3i | −0.181657 | + | 0.795893i | ||||
\(107\) | −25626.6 | − | 32134.8i | −0.216387 | − | 0.271341i | 0.661776 | − | 0.749701i | \(-0.269803\pi\) |
−0.878164 | + | 0.478360i | \(0.841231\pi\) | |||||||
\(108\) | 19609.7 | + | 24589.8i | 0.161775 | + | 0.202860i | ||||
\(109\) | −36032.9 | + | 157871.i | −0.290491 | + | 1.27273i | 0.593352 | + | 0.804943i | \(0.297804\pi\) |
−0.883843 | + | 0.467783i | \(0.845053\pi\) | |||||||
\(110\) | 8717.70 | + | 38194.7i | 0.0686942 | + | 0.300969i | ||||
\(111\) | 38351.5 | + | 48091.3i | 0.295444 | + | 0.370475i | ||||
\(112\) | −3429.96 | + | 1651.78i | −0.0258371 | + | 0.0124425i | ||||
\(113\) | −134881. | + | 64955.4i | −0.993701 | + | 0.478541i | −0.858796 | − | 0.512317i | \(-0.828787\pi\) |
−0.134905 | + | 0.990859i | \(0.543073\pi\) | |||||||
\(114\) | 6499.90 | + | 28477.9i | 0.0468430 | + | 0.205233i | ||||
\(115\) | 64147.2 | − | 80438.0i | 0.452307 | − | 0.567175i | ||||
\(116\) | 79777.8 | + | 38418.9i | 0.550474 | + | 0.265094i | ||||
\(117\) | −532.526 | + | 667.767i | −0.00359647 | + | 0.00450983i | ||||
\(118\) | 21682.8 | − | 94998.7i | 0.143354 | − | 0.628077i | ||||
\(119\) | −167947. | + | 80879.2i | −1.08719 | + | 0.523563i | ||||
\(120\) | 39344.2 | − | 172378.i | 0.249418 | − | 1.09277i | ||||
\(121\) | 95898.4 | + | 46182.2i | 0.595453 | + | 0.286755i | ||||
\(122\) | −148717. | −0.904612 | ||||||||
\(123\) | −314514. | −1.87446 | ||||||||
\(124\) | 16869.0 | + | 8123.66i | 0.0985222 | + | 0.0474458i | ||||
\(125\) | −42024.2 | − | 184120.i | −0.240560 | − | 1.05396i | ||||
\(126\) | −49097.9 | − | 61566.8i | −0.275509 | − | 0.345478i | ||||
\(127\) | −20372.1 | + | 25545.8i | −0.112079 | + | 0.140543i | −0.834707 | − | 0.550695i | \(-0.814363\pi\) |
0.722627 | + | 0.691238i | \(0.242934\pi\) | |||||||
\(128\) | 120739. | 0.651360 | ||||||||
\(129\) | −123875. | + | 211563.i | −0.655404 | + | 1.11935i | ||||
\(130\) | −863.365 | −0.00448060 | ||||||||
\(131\) | 12867.1 | − | 16134.8i | 0.0655090 | − | 0.0821457i | −0.747997 | − | 0.663702i | \(-0.768984\pi\) |
0.813506 | + | 0.581556i | \(0.197556\pi\) | |||||||
\(132\) | 59395.8 | + | 74480.0i | 0.296702 | + | 0.372053i | ||||
\(133\) | −12892.2 | − | 56484.2i | −0.0631970 | − | 0.276884i | ||||
\(134\) | −159136. | − | 76636.0i | −0.765609 | − | 0.368698i | ||||
\(135\) | 76008.4 | 0.358944 | ||||||||
\(136\) | 242442. | 1.12398 | ||||||||
\(137\) | −177515. | − | 85486.6i | −0.808040 | − | 0.389132i | −0.0162067 | − | 0.999869i | \(-0.505159\pi\) |
−0.791833 | + | 0.610737i | \(0.790873\pi\) | |||||||
\(138\) | −32692.0 | + | 143233.i | −0.146132 | + | 0.640245i | ||||
\(139\) | −121072. | + | 58305.3i | −0.531505 | + | 0.255959i | −0.680332 | − | 0.732904i | \(-0.738165\pi\) |
0.148827 | + | 0.988863i | \(0.452450\pi\) | |||||||
\(140\) | −30162.0 | + | 132148.i | −0.130059 | + | 0.569825i | ||||
\(141\) | 35081.9 | − | 43991.3i | 0.148606 | − | 0.186346i | ||||
\(142\) | 246137. | + | 118533.i | 1.02437 | + | 0.493309i | ||||
\(143\) | 750.378 | − | 940.944i | 0.00306860 | − | 0.00384790i | ||||
\(144\) | −1018.10 | − | 4460.59i | −0.00409152 | − | 0.0179261i | ||||
\(145\) | 192797. | − | 92846.3i | 0.761519 | − | 0.366728i | ||||
\(146\) | −6856.01 | + | 3301.68i | −0.0266188 | + | 0.0128190i | ||||
\(147\) | 28184.8 | + | 35342.6i | 0.107577 | + | 0.134898i | ||||
\(148\) | 13647.3 | + | 59792.8i | 0.0512145 | + | 0.224385i | ||||
\(149\) | 83254.7 | − | 364763.i | 0.307216 | − | 1.34600i | −0.551769 | − | 0.833997i | \(-0.686047\pi\) |
0.858984 | − | 0.512002i | \(-0.171096\pi\) | |||||||
\(150\) | 32585.8 | + | 40861.3i | 0.118250 | + | 0.148281i | ||||
\(151\) | 259746. | + | 325711.i | 0.927056 | + | 1.16249i | 0.986418 | + | 0.164255i | \(0.0525219\pi\) |
−0.0593620 | + | 0.998237i | \(0.518907\pi\) | |||||||
\(152\) | −16767.5 | + | 73463.4i | −0.0588655 | + | 0.257906i | ||||
\(153\) | −49851.1 | − | 218412.i | −0.172166 | − | 0.754307i | ||||
\(154\) | 69183.4 | + | 86753.2i | 0.235071 | + | 0.294770i | ||||
\(155\) | 40766.9 | − | 19632.3i | 0.136294 | − | 0.0656360i | ||||
\(156\) | −1891.47 | + | 910.885i | −0.00622284 | + | 0.00299676i | ||||
\(157\) | −84292.3 | − | 369309.i | −0.272922 | − | 1.19575i | −0.906546 | − | 0.422108i | \(-0.861290\pi\) |
0.633623 | − | 0.773642i | \(-0.281567\pi\) | |||||||
\(158\) | −30516.4 | + | 38266.4i | −0.0972503 | + | 0.121948i | ||||
\(159\) | 500002. | + | 240788.i | 1.56848 | + | 0.755339i | ||||
\(160\) | 177349. | − | 222389.i | 0.547682 | − | 0.686772i | ||||
\(161\) | 64842.7 | − | 284094.i | 0.197150 | − | 0.863769i | ||||
\(162\) | −222725. | + | 107259.i | −0.666779 | + | 0.321104i | ||||
\(163\) | 28697.4 | − | 125732.i | 0.0846007 | − | 0.370660i | −0.914850 | − | 0.403793i | \(-0.867691\pi\) |
0.999451 | + | 0.0331333i | \(0.0105486\pi\) | |||||||
\(164\) | −282535. | − | 136062.i | −0.820282 | − | 0.395027i | ||||
\(165\) | 230221. | 0.658318 | ||||||||
\(166\) | 111017. | 0.312695 | ||||||||
\(167\) | −70975.4 | − | 34180.0i | −0.196932 | − | 0.0948376i | 0.332819 | − | 0.942991i | \(-0.392000\pi\) |
−0.529751 | + | 0.848153i | \(0.677715\pi\) | |||||||
\(168\) | −111435. | − | 488229.i | −0.304613 | − | 1.33460i | ||||
\(169\) | −231481. | − | 290268.i | −0.623445 | − | 0.781776i | ||||
\(170\) | 141194. | − | 177052.i | 0.374709 | − | 0.469870i | ||||
\(171\) | 69629.9 | 0.182098 | ||||||||
\(172\) | −202804. | + | 136462.i | −0.522704 | + | 0.351716i | ||||
\(173\) | −331884. | −0.843085 | −0.421543 | − | 0.906809i | \(-0.638511\pi\) | ||||
−0.421543 | + | 0.906809i | \(0.638511\pi\) | |||||||
\(174\) | −190521. | + | 238906.i | −0.477057 | + | 0.598210i | ||||
\(175\) | −64632.0 | − | 81046.0i | −0.159534 | − | 0.200049i | ||||
\(176\) | 1434.60 | + | 6285.38i | 0.00349099 | + | 0.0152950i | ||||
\(177\) | −515905. | − | 248447.i | −1.23776 | − | 0.596074i | ||||
\(178\) | 368560. | 0.871884 | ||||||||
\(179\) | 441980. | 1.03103 | 0.515514 | − | 0.856881i | \(-0.327601\pi\) | ||||
0.515514 | + | 0.856881i | \(0.327601\pi\) | |||||||
\(180\) | −146771. | − | 70681.1i | −0.337643 | − | 0.162601i | ||||
\(181\) | 163512. | − | 716392.i | 0.370982 | − | 1.62538i | −0.353044 | − | 0.935607i | \(-0.614854\pi\) |
0.724027 | − | 0.689772i | \(-0.242289\pi\) | |||||||
\(182\) | −2203.16 | + | 1060.99i | −0.00493023 | + | 0.00237428i | ||||
\(183\) | −194468. | + | 852018.i | −0.429259 | + | 1.88071i | ||||
\(184\) | −236300. | + | 296310.i | −0.514539 | + | 0.645212i | ||||
\(185\) | 133538. | + | 64308.6i | 0.286864 | + | 0.138146i | ||||
\(186\) | −40285.6 | + | 50516.5i | −0.0853822 | + | 0.107066i | ||||
\(187\) | 70244.7 | + | 307762.i | 0.146896 | + | 0.643593i | ||||
\(188\) | 50546.0 | − | 24341.7i | 0.104302 | − | 0.0502292i | ||||
\(189\) | 193960. | − | 93406.3i | 0.394965 | − | 0.190205i | ||||
\(190\) | 43884.2 | + | 55029.0i | 0.0881909 | + | 0.110588i | ||||
\(191\) | 139408. | + | 610788.i | 0.276507 | + | 1.21146i | 0.902176 | + | 0.431367i | \(0.141969\pi\) |
−0.625670 | + | 0.780088i | \(0.715174\pi\) | |||||||
\(192\) | −86412.2 | + | 378597.i | −0.169169 | + | 0.741180i | ||||
\(193\) | 44893.8 | + | 56295.1i | 0.0867548 | + | 0.108787i | 0.823314 | − | 0.567586i | \(-0.192122\pi\) |
−0.736560 | + | 0.676373i | \(0.763551\pi\) | |||||||
\(194\) | 386615. | + | 484800.i | 0.737522 | + | 0.924823i | ||||
\(195\) | −1128.96 | + | 4946.31i | −0.00212615 | + | 0.00931526i | ||||
\(196\) | 10029.5 | + | 43942.1i | 0.0186483 | + | 0.0817035i | ||||
\(197\) | 47400.0 | + | 59437.7i | 0.0870187 | + | 0.109118i | 0.823435 | − | 0.567411i | \(-0.192055\pi\) |
−0.736416 | + | 0.676529i | \(0.763483\pi\) | |||||||
\(198\) | −120150. | + | 57861.1i | −0.217801 | + | 0.104887i | ||||
\(199\) | −840210. | + | 404624.i | −1.50403 | + | 0.724301i | −0.990974 | − | 0.134056i | \(-0.957200\pi\) |
−0.513052 | + | 0.858357i | \(0.671485\pi\) | |||||||
\(200\) | 30000.8 | + | 131442.i | 0.0530344 | + | 0.232359i | ||||
\(201\) | −647148. | + | 811497.i | −1.12983 | + | 1.41676i | ||||
\(202\) | −352424. | − | 169718.i | −0.607696 | − | 0.292651i | ||||
\(203\) | 377887. | − | 473855.i | 0.643609 | − | 0.807060i | ||||
\(204\) | 122533. | − | 536852.i | 0.206147 | − | 0.903191i | ||||
\(205\) | −682797. | + | 328818.i | −1.13477 | + | 0.546476i | ||||
\(206\) | 125083. | − | 548026.i | 0.205367 | − | 0.899773i | ||||
\(207\) | 315530. | + | 151951.i | 0.511817 | + | 0.246478i | ||||
\(208\) | −142.077 | −0.000227701 | ||||||||
\(209\) | −98114.8 | −0.155371 | ||||||||
\(210\) | −421445. | − | 202957.i | −0.659466 | − | 0.317582i | ||||
\(211\) | 131072. | + | 574264.i | 0.202677 | + | 0.887985i | 0.969299 | + | 0.245886i | \(0.0790789\pi\) |
−0.766622 | + | 0.642099i | \(0.778064\pi\) | |||||||
\(212\) | 344996. | + | 432611.i | 0.527199 | + | 0.661087i | ||||
\(213\) | 1.00095e6 | − | 1.25515e6i | 1.51169 | − | 1.89559i | ||||
\(214\) | 141425. | 0.211102 | ||||||||
\(215\) | −47743.3 | + | 588803.i | −0.0704395 | + | 0.868709i | ||||
\(216\) | −279993. | −0.408331 | ||||||||
\(217\) | 79904.0 | − | 100196.i | 0.115191 | − | 0.144445i | ||||
\(218\) | −347395. | − | 435619.i | −0.495087 | − | 0.620820i | ||||
\(219\) | 9950.55 | + | 43596.2i | 0.0140196 | + | 0.0614240i | ||||
\(220\) | 206813. | + | 99596.0i | 0.288086 | + | 0.138735i | ||||
\(221\) | −6956.75 | −0.00958133 | ||||||||
\(222\) | −211650. | −0.288228 | ||||||||
\(223\) | −249289. | − | 120051.i | −0.335692 | − | 0.161661i | 0.258442 | − | 0.966027i | \(-0.416791\pi\) |
−0.594134 | + | 0.804366i | \(0.702505\pi\) | |||||||
\(224\) | 179272. | − | 785440.i | 0.238722 | − | 1.04591i | ||||
\(225\) | 112245. | − | 54054.6i | 0.147813 | − | 0.0711830i | ||||
\(226\) | 114625. | − | 502203.i | 0.149282 | − | 0.654046i | ||||
\(227\) | −490696. | + | 615314.i | −0.632045 | + | 0.792559i | −0.989983 | − | 0.141186i | \(-0.954908\pi\) |
0.357938 | + | 0.933745i | \(0.383480\pi\) | |||||||
\(228\) | 154200. | + | 74258.7i | 0.196448 | + | 0.0946041i | ||||
\(229\) | −105570. | + | 132380.i | −0.133030 | + | 0.166815i | −0.843885 | − | 0.536524i | \(-0.819737\pi\) |
0.710855 | + | 0.703339i | \(0.248308\pi\) | |||||||
\(230\) | 78774.3 | + | 345133.i | 0.0981894 | + | 0.430196i | ||||
\(231\) | 587485. | − | 282918.i | 0.724381 | − | 0.348843i | ||||
\(232\) | −710209. | + | 342019.i | −0.866296 | + | 0.417186i | ||||
\(233\) | −47197.6 | − | 59184.0i | −0.0569548 | − | 0.0714191i | 0.752538 | − | 0.658549i | \(-0.228829\pi\) |
−0.809493 | + | 0.587130i | \(0.800258\pi\) | |||||||
\(234\) | −653.955 | − | 2865.16i | −0.000780743 | − | 0.00342066i | ||||
\(235\) | 30169.4 | − | 132181.i | 0.0356367 | − | 0.156135i | ||||
\(236\) | −355969. | − | 446371.i | −0.416037 | − | 0.521694i | ||||
\(237\) | 179328. | + | 224870.i | 0.207385 | + | 0.260053i | ||||
\(238\) | 142725. | − | 625318.i | 0.163327 | − | 0.715581i | ||||
\(239\) | 109713. | + | 480685.i | 0.124241 | + | 0.544335i | 0.998288 | + | 0.0584932i | \(0.0186296\pi\) |
−0.874047 | + | 0.485841i | \(0.838513\pi\) | |||||||
\(240\) | −16945.2 | − | 21248.6i | −0.0189897 | − | 0.0238124i | ||||
\(241\) | 1.51757e6 | − | 730821.i | 1.68308 | − | 0.810529i | 0.686569 | − | 0.727064i | \(-0.259116\pi\) |
0.996511 | − | 0.0834641i | \(-0.0265984\pi\) | |||||||
\(242\) | −329971. | + | 158906.i | −0.362191 | + | 0.174422i | ||||
\(243\) | 238899. | + | 1.04669e6i | 0.259537 | + | 1.13710i | ||||
\(244\) | −543287. | + | 681260.i | −0.584190 | + | 0.732552i | ||||
\(245\) | 98138.0 | + | 47260.8i | 0.104453 | + | 0.0503020i | ||||
\(246\) | 674736. | − | 846093.i | 0.710880 | − | 0.891416i | ||||
\(247\) | 481.137 | − | 2108.00i | 0.000501795 | − | 0.00219851i | ||||
\(248\) | −150173. | + | 72319.7i | −0.155047 | + | 0.0746667i | ||||
\(249\) | 145170. | − | 636031.i | 0.148381 | − | 0.650100i | ||||
\(250\) | 585468. | + | 281947.i | 0.592452 | + | 0.285310i | ||||
\(251\) | 915795. | 0.917517 | 0.458758 | − | 0.888561i | \(-0.348294\pi\) | ||||
0.458758 | + | 0.888561i | \(0.348294\pi\) | |||||||
\(252\) | −461393. | −0.457689 | ||||||||
\(253\) | −444610. | − | 214113.i | −0.436695 | − | 0.210301i | ||||
\(254\) | −25017.4 | − | 109608.i | −0.0243309 | − | 0.106600i | ||||
\(255\) | −829719. | − | 1.04043e6i | −0.799062 | − | 1.00199i | ||||
\(256\) | −642205. | + | 805300.i | −0.612455 | + | 0.767994i | ||||
\(257\) | −112495. | −0.106243 | −0.0531213 | − | 0.998588i | \(-0.516917\pi\) | ||||
−0.0531213 | + | 0.998588i | \(0.516917\pi\) | |||||||
\(258\) | −303385. | − | 787116.i | −0.283756 | − | 0.736189i | ||||
\(259\) | 419795. | 0.388855 | ||||||||
\(260\) | −3154.00 | + | 3954.99i | −0.00289353 | + | 0.00362838i | ||||
\(261\) | 454154. | + | 569491.i | 0.412669 | + | 0.517470i | ||||
\(262\) | 15801.1 | + | 69228.9i | 0.0142211 | + | 0.0623066i | ||||
\(263\) | 68676.2 | + | 33072.7i | 0.0612234 | + | 0.0294836i | 0.464245 | − | 0.885707i | \(-0.346326\pi\) |
−0.403022 | + | 0.915190i | \(0.632040\pi\) | |||||||
\(264\) | −848068. | −0.748895 | ||||||||
\(265\) | 1.33722e6 | 1.16974 | ||||||||
\(266\) | 179610. | + | 86495.5i | 0.155642 | + | 0.0749530i | ||||
\(267\) | 481941. | − | 2.11152e6i | 0.413729 | − | 1.81267i | ||||
\(268\) | −932410. | + | 449025.i | −0.792994 | + | 0.381886i | ||||
\(269\) | 72382.0 | − | 317126.i | 0.0609888 | − | 0.267209i | −0.935236 | − | 0.354026i | \(-0.884812\pi\) |
0.996224 | + | 0.0868169i | \(0.0276695\pi\) | |||||||
\(270\) | −163063. | + | 204475.i | −0.136128 | + | 0.170699i | ||||
\(271\) | −1.13008e6 | − | 544218.i | −0.934729 | − | 0.450142i | −0.0964222 | − | 0.995341i | \(-0.530740\pi\) |
−0.838307 | + | 0.545199i | \(0.816454\pi\) | |||||||
\(272\) | 23235.1 | − | 29135.9i | 0.0190424 | − | 0.0238784i | ||||
\(273\) | 3197.58 | + | 14009.5i | 0.00259666 | + | 0.0113767i | ||||
\(274\) | 610801. | − | 294146.i | 0.491500 | − | 0.236694i | ||||
\(275\) | −158164. | + | 76167.8i | −0.126118 | + | 0.0607351i | ||||
\(276\) | 536708. | + | 673011.i | 0.424097 | + | 0.531801i | ||||
\(277\) | 260629. | + | 1.14189e6i | 0.204090 | + | 0.894179i | 0.968414 | + | 0.249346i | \(0.0802157\pi\) |
−0.764324 | + | 0.644832i | \(0.776927\pi\) | |||||||
\(278\) | 102889. | − | 450788.i | 0.0798470 | − | 0.349833i | ||||
\(279\) | 96030.5 | + | 120418.i | 0.0738582 | + | 0.0926153i | ||||
\(280\) | −752355. | − | 943424.i | −0.573493 | − | 0.719137i | ||||
\(281\) | −253162. | + | 1.10917e6i | −0.191264 | + | 0.837981i | 0.784670 | + | 0.619914i | \(0.212832\pi\) |
−0.975934 | + | 0.218067i | \(0.930025\pi\) | |||||||
\(282\) | 43081.4 | + | 188752.i | 0.0322602 | + | 0.141341i | ||||
\(283\) | −1.46817e6 | − | 1.84102e6i | −1.08971 | − | 1.36645i | −0.924939 | − | 0.380115i | \(-0.875884\pi\) |
−0.164767 | − | 0.986333i | \(-0.552687\pi\) | |||||||
\(284\) | 1.44216e6 | − | 694509.i | 1.06101 | − | 0.510954i | ||||
\(285\) | 372651. | − | 179459.i | 0.271763 | − | 0.130874i | ||||
\(286\) | 921.482 | + | 4037.27i | 0.000666149 | + | 0.00291859i | ||||
\(287\) | −1.33830e6 | + | 1.67817e6i | −0.959065 | + | 1.20263i | ||||
\(288\) | 872351. | + | 420102.i | 0.619741 | + | 0.298451i | ||||
\(289\) | 252435. | − | 316544.i | 0.177789 | − | 0.222940i | ||||
\(290\) | −163843. | + | 717842.i | −0.114402 | + | 0.501226i | ||||
\(291\) | 3.28302e6 | − | 1.58102e6i | 2.27270 | − | 1.09447i | ||||
\(292\) | −9921.34 | + | 43468.2i | −0.00680947 | + | 0.0298342i | ||||
\(293\) | −328878. | − | 158379.i | −0.223803 | − | 0.107778i | 0.318623 | − | 0.947882i | \(-0.396780\pi\) |
−0.542426 | + | 0.840104i | \(0.682494\pi\) | |||||||
\(294\) | −155543. | −0.104950 | ||||||||
\(295\) | −1.37976e6 | −0.923097 | ||||||||
\(296\) | −491916. | − | 236894.i | −0.326333 | − | 0.157154i | ||||
\(297\) | −81124.8 | − | 355431.i | −0.0533657 | − | 0.233810i | ||||
\(298\) | 802662. | + | 1.00651e6i | 0.523591 | + | 0.656562i | ||||
\(299\) | 6780.52 | − | 8502.50i | 0.00438616 | − | 0.00550007i | ||||
\(300\) | 306223. | 0.196442 | ||||||||
\(301\) | 601745. | + | 1.56120e6i | 0.382822 | + | 0.993210i | ||||
\(302\) | −1.43346e6 | −0.904413 | ||||||||
\(303\) | −1.43318e6 | + | 1.79714e6i | −0.896794 | + | 1.12454i | ||||
\(304\) | 7221.64 | + | 9055.65i | 0.00448179 | + | 0.00561999i | ||||
\(305\) | 468586. | + | 2.05301e6i | 0.288430 | + | 1.26369i | ||||
\(306\) | 694511. | + | 334459.i | 0.424009 | + | 0.204192i | ||||
\(307\) | −928956. | −0.562534 | −0.281267 | − | 0.959629i | \(-0.590755\pi\) | ||||
−0.281267 | + | 0.959629i | \(0.590755\pi\) | |||||||
\(308\) | 650145. | 0.390511 | ||||||||
\(309\) | −2.97614e6 | − | 1.43323e6i | −1.77320 | − | 0.853926i | ||||
\(310\) | −34644.5 | + | 151787.i | −0.0204753 | + | 0.0897080i | ||||
\(311\) | 2.47917e6 | − | 1.19391e6i | 1.45347 | − | 0.699954i | 0.470277 | − | 0.882519i | \(-0.344154\pi\) |
0.983194 | + | 0.182565i | \(0.0584399\pi\) | |||||||
\(312\) | 4158.78 | − | 18220.8i | 0.00241868 | − | 0.0105969i | ||||
\(313\) | −106203. | + | 133174.i | −0.0612739 | + | 0.0768351i | −0.811524 | − | 0.584319i | \(-0.801362\pi\) |
0.750250 | + | 0.661154i | \(0.229933\pi\) | |||||||
\(314\) | 1.17433e6 | + | 565530.i | 0.672152 | + | 0.323692i | ||||
\(315\) | −695216. | + | 871774.i | −0.394769 | + | 0.495025i | ||||
\(316\) | 63813.6 | + | 279586.i | 0.0359497 | + | 0.157506i | ||||
\(317\) | −10194.2 | + | 4909.27i | −0.00569777 | + | 0.00274390i | −0.436730 | − | 0.899592i | \(-0.643864\pi\) |
0.431033 | + | 0.902336i | \(0.358149\pi\) | |||||||
\(318\) | −1.72043e6 | + | 828515.i | −0.954045 | + | 0.459444i | ||||
\(319\) | −639944. | − | 802464.i | −0.352099 | − | 0.441518i | ||||
\(320\) | 208218. | + | 912261.i | 0.113669 | + | 0.498017i | ||||
\(321\) | 184932. | − | 810241.i | 0.100173 | − | 0.438886i | ||||
\(322\) | 625150. | + | 783914.i | 0.336004 | + | 0.421336i | ||||
\(323\) | 353606. | + | 443408.i | 0.188588 | + | 0.236482i | ||||
\(324\) | −322306. | + | 1.41212e6i | −0.170571 | + | 0.747322i | ||||
\(325\) | −860.860 | − | 3771.67i | −0.000452089 | − | 0.00198073i | ||||
\(326\) | 276673. | + | 346937.i | 0.144186 | + | 0.180803i | ||||
\(327\) | −2.94997e6 | + | 1.42063e6i | −1.52563 | + | 0.734704i | ||||
\(328\) | 2.51523e6 | − | 1.21127e6i | 1.29090 | − | 0.621665i | ||||
\(329\) | −85449.4 | − | 374378.i | −0.0435230 | − | 0.190687i | ||||
\(330\) | −493901. | + | 619332.i | −0.249664 | + | 0.313068i | ||||
\(331\) | −312059. | − | 150280.i | −0.156555 | − | 0.0753930i | 0.353965 | − | 0.935258i | \(-0.384833\pi\) |
−0.510521 | + | 0.859865i | \(0.670547\pi\) | |||||||
\(332\) | 405563. | − | 508560.i | 0.201936 | − | 0.253219i | ||||
\(333\) | −112266. | + | 491870.i | −0.0554802 | + | 0.243075i | ||||
\(334\) | 244216. | − | 117608.i | 0.119786 | − | 0.0576860i | ||||
\(335\) | −556528. | + | 2.43831e6i | −0.270941 | + | 1.18707i | ||||
\(336\) | −69353.6 | − | 33398.9i | −0.0335136 | − | 0.0161393i | ||||
\(337\) | −1.26440e6 | −0.606471 | −0.303235 | − | 0.952916i | \(-0.598067\pi\) | ||||
−0.303235 | + | 0.952916i | \(0.598067\pi\) | |||||||
\(338\) | 1.27747e6 | 0.608218 | ||||||||
\(339\) | −2.72729e6 | − | 1.31339e6i | −1.28894 | − | 0.620720i | ||||
\(340\) | −295254. | − | 1.29359e6i | −0.138515 | − | 0.606876i | ||||
\(341\) | −135316. | − | 169681.i | −0.0630177 | − | 0.0790216i | ||||
\(342\) | −149379. | + | 187316.i | −0.0690597 | + | 0.0865982i | ||||
\(343\) | −2.01077e6 | −0.922843 | ||||||||
\(344\) | 175872. | − | 2.16898e6i | 0.0801312 | − | 0.988234i | ||||
\(345\) | 2.08031e6 | 0.940980 | ||||||||
\(346\) | 712002. | − | 892823.i | 0.319736 | − | 0.400936i | ||||
\(347\) | 643000. | + | 806296.i | 0.286673 | + | 0.359477i | 0.904227 | − | 0.427052i | \(-0.140448\pi\) |
−0.617554 | + | 0.786528i | \(0.711876\pi\) | |||||||
\(348\) | 398403. | + | 1.74552e6i | 0.176350 | + | 0.772638i | ||||
\(349\) | 12158.9 | + | 5855.40i | 0.00534354 | + | 0.00257332i | 0.436554 | − | 0.899678i | \(-0.356199\pi\) |
−0.431210 | + | 0.902252i | \(0.641913\pi\) | |||||||
\(350\) | 356684. | 0.155637 | ||||||||
\(351\) | 8034.27 | 0.00348080 | ||||||||
\(352\) | −1.22922e6 | − | 591962.i | −0.528778 | − | 0.254646i | ||||
\(353\) | 129050. | − | 565403.i | 0.0551213 | − | 0.241502i | −0.939860 | − | 0.341559i | \(-0.889045\pi\) |
0.994982 | + | 0.100056i | \(0.0319023\pi\) | |||||||
\(354\) | 1.77515e6 | − | 854867.i | 0.752881 | − | 0.362569i | ||||
\(355\) | 860785. | − | 3.77135e6i | 0.362513 | − | 1.58827i | ||||
\(356\) | 1.34641e6 | − | 1.68834e6i | 0.563055 | − | 0.706049i | ||||
\(357\) | −3.39588e6 | − | 1.63537e6i | −1.41021 | − | 0.679119i | ||||
\(358\) | −948194. | + | 1.18900e6i | −0.391012 | + | 0.490313i | ||||
\(359\) | −259522. | − | 1.13704e6i | −0.106277 | − | 0.465630i | −0.999860 | − | 0.0167317i | \(-0.994674\pi\) |
0.893583 | − | 0.448898i | \(-0.148183\pi\) | |||||||
\(360\) | 1.30660e6 | − | 629228.i | 0.531359 | − | 0.255889i | ||||
\(361\) | 2.07207e6 | − | 997858.i | 0.836830 | − | 0.402996i | ||||
\(362\) | 1.57642e6 | + | 1.97677e6i | 0.632269 | + | 0.792840i | ||||
\(363\) | 478908. | + | 2.09823e6i | 0.190759 | + | 0.835771i | ||||
\(364\) | −3188.20 | + | 13968.4i | −0.00126122 | + | 0.00552577i | ||||
\(365\) | 67181.2 | + | 84242.6i | 0.0263946 | + | 0.0330978i | ||||
\(366\) | −1.87487e6 | − | 2.35101e6i | −0.731591 | − | 0.917386i | ||||
\(367\) | −358195. | + | 1.56936e6i | −0.138821 | + | 0.608213i | 0.856874 | + | 0.515525i | \(0.172403\pi\) |
−0.995695 | + | 0.0926883i | \(0.970454\pi\) | |||||||
\(368\) | 12963.2 | + | 56795.5i | 0.00498991 | + | 0.0218622i | ||||
\(369\) | −1.60840e6 | − | 2.01687e6i | −0.614933 | − | 0.771102i | ||||
\(370\) | −459484. | + | 221276.i | −0.174488 | + | 0.0840291i | ||||
\(371\) | 3.41236e6 | − | 1.64331e6i | 1.28712 | − | 0.619847i | ||||
\(372\) | 84242.1 | + | 369089.i | 0.0315625 | + | 0.138284i | ||||
\(373\) | 2.55973e6 | − | 3.20980e6i | 0.952624 | − | 1.19455i | −0.0281892 | − | 0.999603i | \(-0.508974\pi\) |
0.980813 | − | 0.194950i | \(-0.0624545\pi\) | |||||||
\(374\) | −978628. | − | 471283.i | −0.361775 | − | 0.174222i | ||||
\(375\) | 2.38088e6 | − | 2.98553e6i | 0.874297 | − | 1.09633i | ||||
\(376\) | −111135. | + | 486916.i | −0.0405399 | + | 0.177617i | ||||
\(377\) | 20379.1 | − | 9814.08i | 0.00738470 | − | 0.00355628i | ||||
\(378\) | −164831. | + | 722172.i | −0.0593348 | + | 0.259963i | ||||
\(379\) | 1.35895e6 | + | 654435.i | 0.485965 | + | 0.234028i | 0.660790 | − | 0.750571i | \(-0.270222\pi\) |
−0.174825 | + | 0.984600i | \(0.555936\pi\) | |||||||
\(380\) | 412398. | 0.146507 | ||||||||
\(381\) | −660671. | −0.233170 | ||||||||
\(382\) | −1.94220e6 | − | 935313.i | −0.680981 | − | 0.327943i | ||||
\(383\) | 1.03506e6 | + | 4.53489e6i | 0.360552 | + | 1.57968i | 0.751796 | + | 0.659396i | \(0.229188\pi\) |
−0.391243 | + | 0.920287i | \(0.627955\pi\) | |||||||
\(384\) | 1.52214e6 | + | 1.90871e6i | 0.526777 | + | 0.660558i | ||||
\(385\) | 979623. | − | 1.22841e6i | 0.336827 | − | 0.422368i | ||||
\(386\) | −247755. | −0.0846358 | ||||||||
\(387\) | −1.99017e6 | + | 287548.i | −0.675479 | + | 0.0975960i | ||||
\(388\) | 3.63319e6 | 1.22520 | ||||||||
\(389\) | −1.65665e6 | + | 2.07737e6i | −0.555082 | + | 0.696050i | −0.977640 | − | 0.210285i | \(-0.932561\pi\) |
0.422558 | + | 0.906336i | \(0.361132\pi\) | |||||||
\(390\) | −10884.4 | − | 13648.6i | −0.00362362 | − | 0.00454387i | ||||
\(391\) | 634741. | + | 2.78098e6i | 0.209969 | + | 0.919933i | ||||
\(392\) | −361512. | − | 174095.i | −0.118825 | − | 0.0572230i | ||||
\(393\) | 417282. | 0.136285 | ||||||||
\(394\) | −261586. | −0.0848933 | ||||||||
\(395\) | 624412. | + | 300701.i | 0.201362 | + | 0.0969710i | ||||
\(396\) | −173869. | + | 761769.i | −0.0557165 | + | 0.244110i | ||||
\(397\) | −2.75626e6 | + | 1.32734e6i | −0.877694 | + | 0.422675i | −0.817782 | − | 0.575528i | \(-0.804796\pi\) |
−0.0599125 | + | 0.998204i | \(0.519082\pi\) | |||||||
\(398\) | 714027. | − | 3.12835e6i | 0.225947 | − | 0.989939i | ||||
\(399\) | 730405. | − | 915899.i | 0.229685 | − | 0.288015i | ||||
\(400\) | 18671.5 | + | 8991.73i | 0.00583485 | + | 0.00280992i | ||||
\(401\) | 338486. | − | 424448.i | 0.105119 | − | 0.131815i | −0.726489 | − | 0.687178i | \(-0.758849\pi\) |
0.831608 | + | 0.555363i | \(0.187421\pi\) | |||||||
\(402\) | −794712. | − | 3.48186e6i | −0.245270 | − | 1.07460i | ||||
\(403\) | 4309.16 | − | 2075.18i | 0.00132169 | − | 0.000636493i | ||||
\(404\) | −2.06492e6 | + | 994413.i | −0.629433 | + | 0.303119i | ||||
\(405\) | 2.18246e6 | + | 2.73672e6i | 0.661163 | + | 0.829073i | ||||
\(406\) | 464054. | + | 2.03315e6i | 0.139718 | + | 0.612146i | ||||
\(407\) | 158193. | − | 693089.i | 0.0473371 | − | 0.207397i | ||||
\(408\) | 3.05644e6 | + | 3.83266e6i | 0.909004 | + | 1.13986i | ||||
\(409\) | 2.46738e6 | + | 3.09399e6i | 0.729336 | + | 0.914558i | 0.998826 | − | 0.0484453i | \(-0.0154267\pi\) |
−0.269490 | + | 0.963003i | \(0.586855\pi\) | |||||||
\(410\) | 580254. | − | 2.54226e6i | 0.170474 | − | 0.746896i | ||||
\(411\) | −886493. | − | 3.88398e6i | −0.258863 | − | 1.13415i | ||||
\(412\) | −2.05350e6 | − | 2.57501e6i | −0.596009 | − | 0.747371i | ||||
\(413\) | −3.52090e6 | + | 1.69558e6i | −1.01573 | + | 0.489150i | ||||
\(414\) | −1.08569e6 | + | 522841.i | −0.311318 | + | 0.149923i | ||||
\(415\) | −349799. | − | 1.53257e6i | −0.0997009 | − | 0.436818i | ||||
\(416\) | 18746.2 | − | 23507.0i | 0.00531105 | − | 0.00665984i | ||||
\(417\) | −2.44807e6 | − | 1.17893e6i | −0.689420 | − | 0.332007i | ||||
\(418\) | 210489. | − | 263945.i | 0.0589235 | − | 0.0738877i | ||||
\(419\) | 537105. | − | 2.35321e6i | 0.149460 | − | 0.654826i | −0.843576 | − | 0.537010i | \(-0.819554\pi\) |
0.993035 | − | 0.117816i | \(-0.0375893\pi\) | |||||||
\(420\) | −2.46933e6 | + | 1.18917e6i | −0.683055 | + | 0.328942i | ||||
\(421\) | 264218. | − | 1.15762e6i | 0.0726537 | − | 0.318316i | −0.925522 | − | 0.378694i | \(-0.876373\pi\) |
0.998176 | + | 0.0603775i | \(0.0192304\pi\) | |||||||
\(422\) | −1.82606e6 | − | 879382.i | −0.499152 | − | 0.240379i | ||||
\(423\) | 461508. | 0.125409 | ||||||||
\(424\) | −4.92594e6 | −1.33068 | ||||||||
\(425\) | 914248. | + | 440278.i | 0.245523 | + | 0.118237i | ||||
\(426\) | 1.22919e6 | + | 5.38541e6i | 0.328166 | + | 1.43779i | ||||
\(427\) | 3.71869e6 | + | 4.66309e6i | 0.987007 | + | 1.23767i | ||||
\(428\) | 516647. | − | 647855.i | 0.136328 | − | 0.170950i | ||||
\(429\) | 24334.9 | 0.00638392 | ||||||||
\(430\) | −1.48155e6 | − | 1.39162e6i | −0.386407 | − | 0.362951i | ||||
\(431\) | −1.66063e6 | −0.430605 | −0.215303 | − | 0.976547i | \(-0.569074\pi\) | ||||
−0.215303 | + | 0.976547i | \(0.569074\pi\) | |||||||
\(432\) | −26833.9 | + | 33648.7i | −0.00691791 | + | 0.00867478i | ||||
\(433\) | −3.70387e6 | − | 4.64451e6i | −0.949371 | − | 1.19047i | −0.981591 | − | 0.190993i | \(-0.938829\pi\) |
0.0322199 | − | 0.999481i | \(-0.489742\pi\) | |||||||
\(434\) | 98124.0 | + | 429909.i | 0.0250064 | + | 0.109560i | ||||
\(435\) | 3.89835e6 | + | 1.87735e6i | 0.987774 | + | 0.475687i | ||||
\(436\) | −3.26461e6 | −0.822461 | ||||||||
\(437\) | −886578. | −0.222082 | ||||||||
\(438\) | −138628. | − | 66759.7i | −0.0345276 | − | 0.0166276i | ||||
\(439\) | −1.02138e6 | + | 4.47498e6i | −0.252946 | + | 1.10823i | 0.675675 | + | 0.737200i | \(0.263852\pi\) |
−0.928621 | + | 0.371030i | \(0.879005\pi\) | |||||||
\(440\) | −1.84112e6 | + | 886639.i | −0.453368 | + | 0.218331i | ||||
\(441\) | −82505.1 | + | 361478.i | −0.0202015 | + | 0.0885087i | ||||
\(442\) | 14924.5 | − | 18714.8i | 0.00363367 | − | 0.00455648i | ||||
\(443\) | −6.56066e6 | − | 3.15945e6i | −1.58832 | − | 0.764895i | −0.589249 | − | 0.807952i | \(-0.700576\pi\) |
−0.999073 | + | 0.0430566i | \(0.986290\pi\) | |||||||
\(444\) | −773189. | + | 969548.i | −0.186135 | + | 0.233406i | ||||
\(445\) | −1.16128e6 | − | 5.08790e6i | −0.277995 | − | 1.21797i | ||||
\(446\) | 857765. | − | 413078.i | 0.204189 | − | 0.0983320i | ||||
\(447\) | 6.81597e6 | − | 3.28240e6i | 1.61346 | − | 0.777002i | ||||
\(448\) | 1.65241e6 | + | 2.07206e6i | 0.388976 | + | 0.487760i | ||||
\(449\) | 1.51755e6 | + | 6.64882e6i | 0.355244 | + | 1.55643i | 0.764877 | + | 0.644177i | \(0.222800\pi\) |
−0.409632 | + | 0.912251i | \(0.634343\pi\) | |||||||
\(450\) | −95388.3 | + | 417924.i | −0.0222057 | + | 0.0972894i | ||||
\(451\) | 2.26638e6 | + | 2.84195e6i | 0.524676 | + | 0.657923i | ||||
\(452\) | −1.88180e6 | − | 2.35971e6i | −0.433240 | − | 0.543265i | ||||
\(453\) | −1.87443e6 | + | 8.21242e6i | −0.429165 | + | 1.88029i | ||||
\(454\) | −602586. | − | 2.64010e6i | −0.137208 | − | 0.601148i | ||||
\(455\) | 21588.5 | + | 27071.1i | 0.00488871 | + | 0.00613025i | ||||
\(456\) | −1.37274e6 | + | 661077.i | −0.309155 | + | 0.148881i | ||||
\(457\) | 5.48055e6 | − | 2.63929e6i | 1.22753 | − | 0.591149i | 0.296134 | − | 0.955146i | \(-0.404303\pi\) |
0.931400 | + | 0.363997i | \(0.118588\pi\) | |||||||
\(458\) | −129642. | − | 567999.i | −0.0288790 | − | 0.126527i | ||||
\(459\) | −1.31392e6 | + | 1.64760e6i | −0.291096 | + | 0.365023i | ||||
\(460\) | 1.86879e6 | + | 899963.i | 0.411781 | + | 0.198303i | ||||
\(461\) | −3.55348e6 | + | 4.45592e6i | −0.778756 | + | 0.976529i | 0.221243 | + | 0.975219i | \(0.428988\pi\) |
−0.999999 | + | 0.00131020i | \(0.999583\pi\) | |||||||
\(462\) | −499256. | + | 2.18738e6i | −0.108822 | + | 0.476782i | ||||
\(463\) | 283414. | − | 136485.i | 0.0614425 | − | 0.0295892i | −0.402910 | − | 0.915240i | \(-0.632001\pi\) |
0.464353 | + | 0.885650i | \(0.346287\pi\) | |||||||
\(464\) | −26962.2 | + | 118129.i | −0.00581380 | + | 0.0254719i | ||||
\(465\) | 824304. | + | 396964.i | 0.176789 | + | 0.0851370i | ||||
\(466\) | 260469. | 0.0555637 | ||||||||
\(467\) | −5.47302e6 | −1.16127 | −0.580637 | − | 0.814163i | \(-0.697196\pi\) | ||||
−0.580637 | + | 0.814163i | \(0.697196\pi\) | |||||||
\(468\) | −15514.0 | − | 7471.16i | −0.00327424 | − | 0.00157679i | ||||
\(469\) | 1.57626e6 | + | 6.90606e6i | 0.330900 | + | 1.44977i | ||||
\(470\) | 290865. | + | 364733.i | 0.0607360 | + | 0.0761606i | ||||
\(471\) | 4.77558e6 | − | 5.98839e6i | 0.991913 | − | 1.24382i | ||||
\(472\) | 5.08262e6 | 1.05010 | ||||||||
\(473\) | 2.80432e6 | − | 405180.i | 0.576335 | − | 0.0832714i | ||||
\(474\) | −989656. | −0.202320 | ||||||||
\(475\) | −196641. | + | 246580.i | −0.0399890 | + | 0.0501447i | ||||
\(476\) | −2.34313e6 | − | 2.93819e6i | −0.474000 | − | 0.594377i | ||||
\(477\) | 1.01288e6 | + | 4.43771e6i | 0.203827 | + | 0.893024i | ||||
\(478\) | −1.52849e6 | − | 736083.i | −0.305980 | − | 0.147352i | ||||
\(479\) | −6.52886e6 | −1.30017 | −0.650083 | − | 0.759864i | \(-0.725266\pi\) | ||||
−0.650083 | + | 0.759864i | \(0.725266\pi\) | |||||||
\(480\) | 5.75147e6 | 1.13940 | ||||||||
\(481\) | 14115.3 | + | 6797.57i | 0.00278181 | + | 0.00133965i | ||||
\(482\) | −1.28966e6 | + | 5.65035e6i | −0.252846 | + | 1.10779i | ||||
\(483\) | 5.30859e6 | − | 2.55648e6i | 1.03541 | − | 0.498626i | ||||
\(484\) | −477502. | + | 2.09207e6i | −0.0926535 | + | 0.405942i | ||||
\(485\) | 5.47440e6 | − | 6.86468e6i | 1.05677 | − | 1.32515i | ||||
\(486\) | −3.32827e6 | − | 1.60281e6i | −0.639187 | − | 0.307816i | ||||
\(487\) | 5.43630e6 | − | 6.81691e6i | 1.03868 | − | 1.30246i | 0.0867209 | − | 0.996233i | \(-0.472361\pi\) |
0.951958 | − | 0.306229i | \(-0.0990674\pi\) | |||||||
\(488\) | −1.72614e6 | − | 7.56270e6i | −0.328115 | − | 1.43756i | ||||
\(489\) | 2.34943e6 | − | 1.13142e6i | 0.444314 | − | 0.213970i | ||||
\(490\) | −337678. | + | 162617.i | −0.0635349 | + | 0.0305968i | ||||
\(491\) | 2.61882e6 | + | 3.28389e6i | 0.490231 | + | 0.614731i | 0.963995 | − | 0.265921i | \(-0.0856762\pi\) |
−0.473763 | + | 0.880652i | \(0.657105\pi\) | |||||||
\(492\) | −1.41096e6 | − | 6.18180e6i | −0.262785 | − | 1.15134i | ||||
\(493\) | −1.32020e6 | + | 5.78417e6i | −0.244637 | + | 1.07182i | ||||
\(494\) | 4638.66 | + | 5816.70i | 0.000855215 | + | 0.00107241i | ||||
\(495\) | 1.17733e6 | + | 1.47633e6i | 0.215967 | + | 0.270814i | ||||
\(496\) | −5701.14 | + | 24978.3i | −0.00104054 | + | 0.00455889i | ||||
\(497\) | −2.43801e6 | − | 1.06816e7i | −0.442736 | − | 1.93975i | ||||
\(498\) | 1.39959e6 | + | 1.75503e6i | 0.252887 | + | 0.317111i | ||||
\(499\) | 1.24343e6 | − | 598803.i | 0.223547 | − | 0.107655i | −0.318758 | − | 0.947836i | \(-0.603266\pi\) |
0.542305 | + | 0.840181i | \(0.317552\pi\) | |||||||
\(500\) | 3.43037e6 | − | 1.65198e6i | 0.613643 | − | 0.295515i | ||||
\(501\) | −354445. | − | 1.55293e6i | −0.0630892 | − | 0.276412i | ||||
\(502\) | −1.96468e6 | + | 2.46364e6i | −0.347963 | + | 0.436332i | ||||
\(503\) | 2.09129e6 | + | 1.00711e6i | 0.368548 | + | 0.177483i | 0.608986 | − | 0.793181i | \(-0.291577\pi\) |
−0.240438 | + | 0.970665i | \(0.577291\pi\) | |||||||
\(504\) | 2.56097e6 | − | 3.21136e6i | 0.449085 | − | 0.563135i | ||||
\(505\) | −1.23249e6 | + | 5.39989e6i | −0.215058 | + | 0.942229i | ||||
\(506\) | 1.52983e6 | − | 736730.i | 0.265625 | − | 0.127918i | ||||
\(507\) | 1.67046e6 | − | 7.31877e6i | 0.288613 | − | 1.26450i | ||||
\(508\) | −593497. | − | 285813.i | −0.102037 | − | 0.0491386i | ||||
\(509\) | −5.88112e6 | −1.00616 | −0.503079 | − | 0.864241i | \(-0.667799\pi\) | ||||
−0.503079 | + | 0.864241i | \(0.667799\pi\) | |||||||
\(510\) | 4.57896e6 | 0.779545 | ||||||||
\(511\) | 274960. | + | 132414.i | 0.0465819 | + | 0.0224327i | ||||
\(512\) | 71096.5 | + | 311494.i | 0.0119860 | + | 0.0525140i | ||||
\(513\) | −408375. | − | 512087.i | −0.0685119 | − | 0.0859112i | ||||
\(514\) | 241338. | − | 302628.i | 0.0402919 | − | 0.0505245i | ||||
\(515\) | −7.95950e6 | −1.32241 | ||||||||
\(516\) | −4.71401e6 | − | 1.48567e6i | −0.779411 | − | 0.245640i | ||||
\(517\) | −650306. | −0.107002 | ||||||||
\(518\) | −900599. | + | 1.12932e6i | −0.147471 | + | 0.184923i | ||||
\(519\) | −4.18404e6 | − | 5.24662e6i | −0.681832 | − | 0.854991i | ||||
\(520\) | −10020.9 | − | 43904.6i | −0.00162517 | − | 0.00712035i | ||||
\(521\) | 286102. | + | 137780.i | 0.0461771 | + | 0.0222377i | 0.456830 | − | 0.889554i | \(-0.348985\pi\) |
−0.410653 | + | 0.911792i | \(0.634699\pi\) | |||||||
\(522\) | −2.50633e6 | −0.402589 | ||||||||
\(523\) | −9.32969e6 | −1.49146 | −0.745732 | − | 0.666246i | \(-0.767900\pi\) | ||||
−0.745732 | + | 0.666246i | \(0.767900\pi\) | |||||||
\(524\) | 374855. | + | 180520.i | 0.0596396 | + | 0.0287209i | ||||
\(525\) | 466411. | − | 2.04348e6i | 0.0738534 | − | 0.323573i | ||||
\(526\) | −236304. | + | 113798.i | −0.0372398 | + | 0.0179337i | ||||
\(527\) | −279155. | + | 1.22306e6i | −0.0437844 | + | 0.191832i | ||||
\(528\) | −81277.1 | + | 101918.i | −0.0126877 | + | 0.0159099i | ||||
\(529\) | 1.78139e6 | + | 857871.i | 0.276770 | + | 0.133285i | ||||
\(530\) | −2.86879e6 | + | 3.59735e6i | −0.443618 | + | 0.556279i | ||||
\(531\) | −1.04509e6 | − | 4.57886e6i | −0.160849 | − | 0.704727i | ||||
\(532\) | 1.05237e6 | − | 506794.i | 0.161209 | − | 0.0776340i | ||||
\(533\) | −72173.4 | + | 34756.9i | −0.0110042 | + | 0.00529935i | ||||
\(534\) | 4.64641e6 | + | 5.82642e6i | 0.705123 | + | 0.884196i | ||||
\(535\) | −445610. | − | 1.95235e6i | −0.0673086 | − | 0.294898i | ||||
\(536\) | 2.05009e6 | − | 8.98202e6i | 0.308220 | − | 1.35040i | ||||
\(537\) | 5.57201e6 | + | 6.98708e6i | 0.833828 | + | 1.04559i | ||||
\(538\) | 697837. | + | 875060.i | 0.103944 | + | 0.130341i | ||||
\(539\) | 116257. | − | 509356.i | 0.0172364 | − | 0.0755178i | ||||
\(540\) | 340985. | + | 1.49395e6i | 0.0503212 | + | 0.220472i | ||||
\(541\) | 3.21888e6 | + | 4.03635e6i | 0.472837 | + | 0.592919i | 0.959863 | − | 0.280468i | \(-0.0904897\pi\) |
−0.487026 | + | 0.873387i | \(0.661918\pi\) | |||||||
\(542\) | 3.88843e6 | − | 1.87257e6i | 0.568560 | − | 0.273804i | ||||
\(543\) | 1.33865e7 | − | 6.44661e6i | 1.94836 | − | 0.938279i | ||||
\(544\) | 1.75488e6 | + | 7.68863e6i | 0.254244 | + | 1.11391i | ||||
\(545\) | −4.91904e6 | + | 6.16828e6i | −0.709396 | + | 0.889555i | ||||
\(546\) | −44547.7 | − | 21453.1i | −0.00639505 | − | 0.00307970i | ||||
\(547\) | 5.65820e6 | − | 7.09515e6i | 0.808555 | − | 1.01390i | −0.190923 | − | 0.981605i | \(-0.561148\pi\) |
0.999478 | − | 0.0322913i | \(-0.0102804\pi\) | |||||||
\(548\) | 883891. | − | 3.87258e6i | 0.125732 | − | 0.550870i | ||||
\(549\) | −6.45819e6 | + | 3.11010e6i | −0.914492 | + | 0.440396i | ||||
\(550\) | 134411. | − | 588892.i | 0.0189464 | − | 0.0830097i | ||||
\(551\) | −1.66138e6 | − | 800080.i | −0.233126 | − | 0.112268i | ||||
\(552\) | −7.66326e6 | −1.07045 | ||||||||
\(553\) | 1.96292e6 | 0.272954 | ||||||||
\(554\) | −3.63100e6 | − | 1.74860e6i | −0.502634 | − | 0.242056i | ||||
\(555\) | 666878. | + | 2.92178e6i | 0.0918996 | + | 0.402639i | ||||
\(556\) | −1.68915e6 | − | 2.11812e6i | −0.231729 | − | 0.290579i | ||||
\(557\) | 5.60345e6 | − | 7.02651e6i | 0.765276 | − | 0.959625i | −0.234647 | − | 0.972081i | \(-0.575393\pi\) |
0.999922 | + | 0.0124555i | \(0.00396480\pi\) | |||||||
\(558\) | −529963. | −0.0720543 | ||||||||
\(559\) | −5046.58 | + | 62238.0i | −0.000683074 | + | 0.00842414i | ||||
\(560\) | −185482. | −0.0249938 | ||||||||
\(561\) | −3.97972e6 | + | 4.99041e6i | −0.533882 | + | 0.669466i | ||||
\(562\) | −2.44074e6 | − | 3.06059e6i | −0.325973 | − | 0.408757i | ||||
\(563\) | 2.13777e6 | + | 9.36618e6i | 0.284243 | + | 1.24535i | 0.892295 | + | 0.451453i | \(0.149094\pi\) |
−0.608052 | + | 0.793897i | \(0.708049\pi\) | |||||||
\(564\) | 1.02204e6 | + | 492187.i | 0.135291 | + | 0.0651527i | ||||
\(565\) | −7.29397e6 | −0.961265 | ||||||||
\(566\) | 8.10235e6 | 1.06309 | ||||||||
\(567\) | 8.93240e6 | + | 4.30162e6i | 1.16684 | + | 0.561920i | ||||
\(568\) | −3.17088e6 | + | 1.38925e7i | −0.412391 | + | 1.80680i | ||||
\(569\) | 5.47429e6 | − | 2.63628e6i | 0.708838 | − | 0.341359i | −0.0444838 | − | 0.999010i | \(-0.514164\pi\) |
0.753322 | + | 0.657651i | \(0.228450\pi\) | |||||||
\(570\) | −316686. | + | 1.38749e6i | −0.0408265 | + | 0.178872i | ||||
\(571\) | −4.07451e6 | + | 5.10928e6i | −0.522980 | + | 0.655796i | −0.971239 | − | 0.238107i | \(-0.923473\pi\) |
0.448259 | + | 0.893904i | \(0.352044\pi\) | |||||||
\(572\) | 21860.7 | + | 10527.5i | 0.00279366 | + | 0.00134536i | ||||
\(573\) | −7.89819e6 | + | 9.90401e6i | −1.00494 | + | 1.26016i | ||||
\(574\) | −1.64346e6 | − | 7.20048e6i | −0.208200 | − | 0.912182i | ||||
\(575\) | −1.42919e6 | + | 688262.i | −0.180269 | + | 0.0868129i | ||||
\(576\) | −2.86971e6 | + | 1.38198e6i | −0.360398 | + | 0.173559i | ||||
\(577\) | 4.89695e6 | + | 6.14059e6i | 0.612331 | + | 0.767839i | 0.987243 | − | 0.159221i | \(-0.0508983\pi\) |
−0.374911 | + | 0.927061i | \(0.622327\pi\) | |||||||
\(578\) | 309996. | + | 1.35818e6i | 0.0385955 | + | 0.169098i | ||||
\(579\) | −323972. | + | 1.41942e6i | −0.0401617 | + | 0.175960i | ||||
\(580\) | 2.68982e6 | + | 3.37293e6i | 0.332012 | + | 0.416330i | ||||
\(581\) | −2.77600e6 | − | 3.48099e6i | −0.341176 | − | 0.427822i | ||||
\(582\) | −2.78998e6 | + | 1.22237e7i | −0.341423 | + | 1.49587i | ||||
\(583\) | −1.42724e6 | − | 6.25313e6i | −0.173910 | − | 0.761950i | ||||
\(584\) | −247476. | − | 310325.i | −0.0300263 | − | 0.0376517i | ||||
\(585\) | −37492.4 | + | 18055.4i | −0.00452954 | + | 0.00218131i | ||||
\(586\) | 1.13162e6 | − | 544958.i | 0.136131 | − | 0.0655570i | ||||
\(587\) | −16503.2 | − | 72305.0i | −0.00197684 | − | 0.00866110i | 0.973930 | − | 0.226849i | \(-0.0728425\pi\) |
−0.975907 | + | 0.218188i | \(0.929985\pi\) | |||||||
\(588\) | −568221. | + | 712527.i | −0.0677757 | + | 0.0849881i | ||||
\(589\) | −351298. | − | 169176.i | −0.0417242 | − | 0.0200933i | ||||
\(590\) | 2.96003e6 | − | 3.71177e6i | 0.350080 | − | 0.438986i | ||||
\(591\) | −342058. | + | 1.49865e6i | −0.0402838 | + | 0.176495i | ||||
\(592\) | −75613.4 | + | 36413.5i | −0.00886736 | + | 0.00427030i | ||||
\(593\) | 1.97318e6 | − | 8.64508e6i | 0.230426 | − | 1.00956i | −0.718862 | − | 0.695153i | \(-0.755337\pi\) |
0.949288 | − | 0.314408i | \(-0.101806\pi\) | |||||||
\(594\) | 1.13021e6 | + | 544278.i | 0.131429 | + | 0.0632929i | ||||
\(595\) | −9.08208e6 | −1.05170 | ||||||||
\(596\) | 7.54295e6 | 0.869812 | ||||||||
\(597\) | −1.69890e7 | − | 8.18147e6i | −1.95089 | − | 0.939497i | ||||
\(598\) | 8326.63 | + | 36481.4i | 0.000952174 | + | 0.00417175i | ||||
\(599\) | −5.32613e6 | − | 6.67875e6i | −0.606519 | − | 0.760551i | 0.379859 | − | 0.925044i | \(-0.375973\pi\) |
−0.986378 | + | 0.164493i | \(0.947401\pi\) | |||||||
\(600\) | −1.69970e6 | + | 2.13135e6i | −0.192749 | + | 0.241700i | ||||
\(601\) | 1.40091e7 | 1.58206 | 0.791032 | − | 0.611774i | \(-0.209544\pi\) | ||||
0.791032 | + | 0.611774i | \(0.209544\pi\) | |||||||
\(602\) | −5.49081e6 | − | 1.73049e6i | −0.617512 | − | 0.194616i | ||||
\(603\) | −8.51332e6 | −0.953466 | ||||||||
\(604\) | −5.23662e6 | + | 6.56652e6i | −0.584062 | + | 0.732391i | ||||
\(605\) | 3.23335e6 | + | 4.05450e6i | 0.359141 | + | 0.450348i | ||||
\(606\) | −1.75997e6 | − | 7.71095e6i | −0.194681 | − | 0.852955i | ||||
\(607\) | 1.04618e7 | + | 5.03814e6i | 1.15249 | + | 0.555008i | 0.909779 | − | 0.415092i | \(-0.136251\pi\) |
0.242706 | + | 0.970100i | \(0.421965\pi\) | |||||||
\(608\) | −2.45114e6 | −0.268911 | ||||||||
\(609\) | 1.22550e7 | 1.33897 | ||||||||
\(610\) | −6.52821e6 | − | 3.14382e6i | −0.710345 | − | 0.342084i | ||||
\(611\) | 3188.98 | − | 13971.9i | 0.000345581 | − | 0.00151409i | ||||
\(612\) | 4.06927e6 | − | 1.95966e6i | 0.439176 | − | 0.211496i | ||||
\(613\) | 3.54366e6 | − | 1.55258e7i | 0.380892 | − | 1.66880i | −0.313801 | − | 0.949489i | \(-0.601603\pi\) |
0.694693 | − | 0.719306i | \(-0.255540\pi\) | |||||||
\(614\) | 1.99292e6 | − | 2.49904e6i | 0.213338 | − | 0.267518i | ||||
\(615\) | −1.38061e7 | − | 6.64868e6i | −1.47192 | − | 0.708839i | ||||
\(616\) | −3.60864e6 | + | 4.52510e6i | −0.383171 | + | 0.480481i | ||||
\(617\) | 3.96536e6 | + | 1.73734e7i | 0.419343 | + | 1.83726i | 0.536172 | + | 0.844109i | \(0.319870\pi\) |
−0.116829 | + | 0.993152i | \(0.537273\pi\) | |||||||
\(618\) | 1.02404e7 | − | 4.93153e6i | 1.07857 | − | 0.519410i | ||||
\(619\) | 6.72572e6 | − | 3.23893e6i | 0.705524 | − | 0.339763i | −0.0464814 | − | 0.998919i | \(-0.514801\pi\) |
0.752006 | + | 0.659157i | \(0.229087\pi\) | |||||||
\(620\) | 568761. | + | 713204.i | 0.0594225 | + | 0.0745134i | ||||
\(621\) | −733054. | − | 3.21172e6i | −0.0762794 | − | 0.334202i | ||||
\(622\) | −2.10685e6 | + | 9.23071e6i | −0.218352 | + | 0.956663i | ||||
\(623\) | −9.21588e6 | − | 1.15563e7i | −0.951298 | − | 1.19289i | ||||
\(624\) | −1791.15 | − | 2246.03i | −0.000184149 | − | 0.000230916i | ||||
\(625\) | 1.52512e6 | − | 6.68199e6i | 0.156172 | − | 0.684236i | ||||
\(626\) | −130420. | − | 571406.i | −0.0133017 | − | 0.0582786i | ||||
\(627\) | −1.23693e6 | − | 1.55106e6i | −0.125654 | − | 0.157565i | ||||
\(628\) | 6.88065e6 | − | 3.31355e6i | 0.696195 | − | 0.335270i | ||||
\(629\) | −3.70239e6 | + | 1.78298e6i | −0.373126 | + | 0.179688i | ||||
\(630\) | −853742. | − | 3.74049e6i | −0.0856989 | − | 0.375471i | ||||
\(631\) | −5.43217e6 | + | 6.81172e6i | −0.543125 | + | 0.681057i | −0.975339 | − | 0.220714i | \(-0.929161\pi\) |
0.432214 | + | 0.901771i | \(0.357733\pi\) | |||||||
\(632\) | −2.30015e6 | − | 1.10770e6i | −0.229068 | − | 0.110313i | ||||
\(633\) | −7.42589e6 | + | 9.31177e6i | −0.736612 | + | 0.923683i | ||||
\(634\) | 8663.23 | − | 37956.1i | 0.000855966 | − | 0.00375023i | ||||
\(635\) | −1.43429e6 | + | 690719.i | −0.141157 | + | 0.0679778i | ||||
\(636\) | −2.48963e6 | + | 1.09078e7i | −0.244058 | + | 1.06929i | ||||
\(637\) | 10373.4 | + | 4995.58i | 0.00101292 | + | 0.000487795i | ||||
\(638\) | 3.53165e6 | 0.343499 | ||||||||
\(639\) | 1.31676e7 | 1.27572 | ||||||||
\(640\) | 5.30003e6 | + | 2.55236e6i | 0.511479 | + | 0.246315i | ||||
\(641\) | 3.96474e6 | + | 1.73707e7i | 0.381127 | + | 1.66983i | 0.693956 | + | 0.720017i | \(0.255866\pi\) |
−0.312829 | + | 0.949809i | \(0.601277\pi\) | |||||||
\(642\) | 1.78294e6 | + | 2.23573e6i | 0.170726 | + | 0.214083i | ||||
\(643\) | −7.55402e6 | + | 9.47244e6i | −0.720528 | + | 0.903513i | −0.998368 | − | 0.0571143i | \(-0.981810\pi\) |
0.277840 | + | 0.960627i | \(0.410381\pi\) | |||||||
\(644\) | 5.87480e6 | 0.558185 | ||||||||
\(645\) | −9.91004e6 | + | 6.66825e6i | −0.937943 | + | 0.631121i | ||||
\(646\) | −1.95144e6 | −0.183982 | ||||||||
\(647\) | −8.57113e6 | + | 1.07479e7i | −0.804965 | + | 1.00939i | 0.194628 | + | 0.980877i | \(0.437650\pi\) |
−0.999593 | + | 0.0285174i | \(0.990921\pi\) | |||||||
\(648\) | −8.03955e6 | − | 1.00813e7i | −0.752132 | − | 0.943144i | ||||
\(649\) | 1.47263e6 | + | 6.45202e6i | 0.137241 | + | 0.601290i | ||||
\(650\) | 11993.2 | + | 5775.64i | 0.00111341 | + | 0.000536188i | ||||
\(651\) | 2.59131e6 | 0.239644 | ||||||||
\(652\) | 2.60001e6 | 0.239528 | ||||||||
\(653\) | 6.20971e6 | + | 2.99044e6i | 0.569886 | + | 0.274443i | 0.696556 | − | 0.717502i | \(-0.254715\pi\) |
−0.126670 | + | 0.991945i | \(0.540429\pi\) | |||||||
\(654\) | 2.50694e6 | − | 1.09836e7i | 0.229192 | − | 1.00416i | ||||
\(655\) | 905903. | − | 436260.i | 0.0825047 | − | 0.0397322i | ||||
\(656\) | 95487.4 | − | 418358.i | 0.00866337 | − | 0.0379567i | ||||
\(657\) | −228681. | + | 286757.i | −0.0206689 | + | 0.0259179i | ||||
\(658\) | 1.19045e6 | + | 573293.i | 0.107189 | + | 0.0516193i | ||||
\(659\) | 2.22316e6 | − | 2.78775e6i | 0.199414 | − | 0.250058i | −0.672062 | − | 0.740495i | \(-0.734591\pi\) |
0.871477 | + | 0.490437i | \(0.163163\pi\) | |||||||
\(660\) | 1.03281e6 | + | 4.52503e6i | 0.0922910 | + | 0.404353i | ||||
\(661\) | 1.60098e7 | − | 7.70993e6i | 1.42522 | − | 0.686352i | 0.447121 | − | 0.894474i | \(-0.352449\pi\) |
0.978103 | + | 0.208122i | \(0.0667351\pi\) | |||||||
\(662\) | 1.07375e6 | − | 517090.i | 0.0952264 | − | 0.0458586i | ||||
\(663\) | −87703.3 | − | 109976.i | −0.00774876 | − | 0.00971663i | ||||
\(664\) | 1.28856e6 | + | 5.64555e6i | 0.113419 | + | 0.496919i | ||||
\(665\) | 628128. | − | 2.75201e6i | 0.0550800 | − | 0.241321i | ||||
\(666\) | −1.08236e6 | − | 1.35724e6i | −0.0945555 | − | 0.118569i | ||||
\(667\) | −5.78262e6 | − | 7.25117e6i | −0.503280 | − | 0.631093i | ||||
\(668\) | 353405. | − | 1.54837e6i | 0.0306430 | − | 0.134256i | ||||
\(669\) | −1.24493e6 | − | 5.45439e6i | −0.107542 | − | 0.471173i | ||||
\(670\) | −5.36551e6 | − | 6.72814e6i | −0.461768 | − | 0.579039i | ||||
\(671\) | 9.10018e6 | − | 4.38241e6i | 0.780268 | − | 0.375757i | ||||
\(672\) | 1.46768e7 | − | 7.06796e6i | 1.25374 | − | 0.603769i | ||||
\(673\) | −4.94179e6 | − | 2.16514e7i | −0.420578 | − | 1.84267i | −0.529076 | − | 0.848574i | \(-0.677461\pi\) |
0.108498 | − | 0.994097i | \(-0.465396\pi\) | |||||||
\(674\) | 2.71256e6 | − | 3.40144e6i | 0.230001 | − | 0.288412i | ||||
\(675\) | −1.05585e6 | − | 508472.i | −0.0891957 | − | 0.0429544i | ||||
\(676\) | 4.66679e6 | − | 5.85197e6i | 0.392782 | − | 0.492533i | ||||
\(677\) | −2.77106e6 | + | 1.21408e7i | −0.232367 | + | 1.01807i | 0.715303 | + | 0.698814i | \(0.246289\pi\) |
−0.947670 | + | 0.319251i | \(0.896569\pi\) | |||||||
\(678\) | 9.38419e6 | − | 4.51919e6i | 0.784012 | − | 0.377560i | ||||
\(679\) | 5.53375e6 | − | 2.42449e7i | 0.460622 | − | 2.01812i | ||||
\(680\) | 1.06424e7 | + | 5.12510e6i | 0.882606 | + | 0.425041i | ||||
\(681\) | −1.59134e7 | −1.31491 | ||||||||
\(682\) | 746765. | 0.0614785 | ||||||||
\(683\) | −1.65150e7 | − | 7.95321e6i | −1.35465 | − | 0.652365i | −0.391213 | − | 0.920300i | \(-0.627944\pi\) |
−0.963437 | + | 0.267935i | \(0.913659\pi\) | |||||||
\(684\) | 312370. | + | 1.36858e6i | 0.0255287 | + | 0.111849i | ||||
\(685\) | −5.98517e6 | − | 7.50516e6i | −0.487360 | − | 0.611130i | ||||
\(686\) | 4.31378e6 | − | 5.40931e6i | 0.349984 | − | 0.438865i | ||||
\(687\) | −3.42365e6 | −0.276756 | ||||||||
\(688\) | −243806. | − | 229006.i | −0.0196369 | − | 0.0184449i | ||||
\(689\) | 141348. | 0.0113433 | ||||||||
\(690\) | −4.46296e6 | + | 5.59637e6i | −0.356862 | + | 0.447490i | ||||
\(691\) | 3.94769e6 | + | 4.95024e6i | 0.314520 | + | 0.394395i | 0.913814 | − | 0.406134i | \(-0.133123\pi\) |
−0.599294 | + | 0.800529i | \(0.704552\pi\) | |||||||
\(692\) | −1.48888e6 | − | 6.52323e6i | −0.118194 | − | 0.517842i | ||||
\(693\) | 4.81861e6 | + | 2.32052e6i | 0.381143 | + | 0.183549i | ||||
\(694\) | −3.54851e6 | −0.279671 | ||||||||
\(695\) | −6.54722e6 | −0.514156 | ||||||||
\(696\) | −1.43604e7 | − | 6.91560e6i | −1.12368 | − | 0.541136i | ||||
\(697\) | 4.67552e6 | − | 2.04848e7i | 0.364543 | − | 1.59717i | ||||
\(698\) | −41836.8 | + | 20147.5i | −0.00325027 | + | 0.00156525i | ||||
\(699\) | 340598. | − | 1.49226e6i | 0.0263663 | − | 0.115518i | ||||
\(700\) | 1.30302e6 | − | 1.63393e6i | 0.100509 | − | 0.126035i | ||||
\(701\) | 3.02859e6 | + | 1.45849e6i | 0.232780 | + | 0.112101i | 0.546638 | − | 0.837369i | \(-0.315907\pi\) |
−0.313858 | + | 0.949470i | \(0.601622\pi\) | |||||||
\(702\) | −17236.2 | + | 21613.5i | −0.00132007 | + | 0.00165532i | ||||
\(703\) | −284207. | − | 1.24519e6i | −0.0216894 | − | 0.0950273i | ||||
\(704\) | 4.04369e6 | − | 1.94734e6i | 0.307501 | − | 0.148084i | ||||
\(705\) | 2.46994e6 | − | 1.18946e6i | 0.187160 | − | 0.0901315i | ||||
\(706\) | 1.24417e6 | + | 1.56014e6i | 0.0939438 | + | 0.117802i | ||||
\(707\) | 3.49080e6 | + | 1.52942e7i | 0.262649 | + | 1.15074i | ||||
\(708\) | 2.56882e6 | − | 1.12547e7i | 0.192597 | − | 0.843825i | ||||
\(709\) | 7.23843e6 | + | 9.07670e6i | 0.540790 | + | 0.678129i | 0.974878 | − | 0.222742i | \(-0.0715006\pi\) |
−0.434088 | + | 0.900871i | \(0.642929\pi\) | |||||||
\(710\) | 8.29886e6 | + | 1.04064e7i | 0.617835 | + | 0.774740i | ||||
\(711\) | −524946. | + | 2.29994e6i | −0.0389440 | + | 0.170625i | ||||
\(712\) | 4.27782e6 | + | 1.87423e7i | 0.316244 | + | 1.38555i | ||||
\(713\) | −1.22273e6 | − | 1.53326e6i | −0.0900756 | − | 0.112951i | ||||
\(714\) | 1.16847e7 | − | 5.62706e6i | 0.857773 | − | 0.413082i | ||||
\(715\) | 52830.2 | − | 25441.7i | 0.00386472 | − | 0.00186115i | ||||
\(716\) | 1.98279e6 | + | 8.68717e6i | 0.144542 | + | 0.633280i | ||||
\(717\) | −6.21580e6 | + | 7.79437e6i | −0.451543 | + | 0.566218i | ||||
\(718\) | 3.61559e6 | + | 1.74118e6i | 0.261739 | + | 0.126047i | ||||
\(719\) | −7.00220e6 | + | 8.78048e6i | −0.505141 | + | 0.633426i | −0.967380 | − | 0.253329i | \(-0.918475\pi\) |
0.462240 | + | 0.886755i | \(0.347046\pi\) | |||||||
\(720\) | 49603.6 | − | 217328.i | 0.00356600 | − | 0.0156237i | ||||
\(721\) | −2.03113e7 | + | 9.78139e6i | −1.45512 | + | 0.700749i | ||||
\(722\) | −1.76089e6 | + | 7.71495e6i | −0.125715 | + | 0.550795i | ||||
\(723\) | 3.06851e7 | + | 1.47772e7i | 2.18314 | + | 1.05134i | ||||
\(724\) | 1.48143e7 | 1.05035 | ||||||||
\(725\) | −3.29931e6 | −0.233119 | ||||||||
\(726\) | −6.67200e6 | − | 3.21307e6i | −0.469802 | − | 0.226245i | ||||
\(727\) | −3.02442e6 | − | 1.32508e7i | −0.212230 | − | 0.929838i | −0.963048 | − | 0.269330i | \(-0.913198\pi\) |
0.750818 | − | 0.660509i | \(-0.229659\pi\) | |||||||
\(728\) | −79525.8 | − | 99722.2i | −0.00556134 | − | 0.00697370i | ||||
\(729\) | −2.64978e6 | + | 3.32272e6i | −0.184668 | + | 0.231566i | ||||
\(730\) | −370752. | −0.0257500 | ||||||||
\(731\) | −1.19379e7 | − | 1.12132e7i | −0.826295 | − | 0.776136i | ||||
\(732\) | −1.76189e7 | −1.21535 | ||||||||
\(733\) | −1.31381e7 | + | 1.64747e7i | −0.903180 | + | 1.13255i | 0.0874760 | + | 0.996167i | \(0.472120\pi\) |
−0.990656 | + | 0.136385i | \(0.956452\pi\) | |||||||
\(734\) | −3.45337e6 | − | 4.33039e6i | −0.236594 | − | 0.296679i | ||||
\(735\) | 490093. | + | 2.14724e6i | 0.0334626 | + | 0.146609i | ||||
\(736\) | −1.11074e7 | − | 5.34905e6i | −0.755820 | − | 0.363984i | ||||
\(737\) | 1.19960e7 | 0.813521 | ||||||||
\(738\) | 8.87625e6 | 0.599914 | ||||||||
\(739\) | −1.05155e7 | − | 5.06401e6i | −0.708304 | − | 0.341101i | 0.0448063 | − | 0.998996i | \(-0.485733\pi\) |
−0.753110 | + | 0.657895i | \(0.771447\pi\) | |||||||
\(740\) | −664920. | + | 2.91321e6i | −0.0446365 | + | 0.195565i | ||||
\(741\) | 39390.2 | − | 18969.3i | 0.00263537 | − | 0.00126913i | ||||
\(742\) | −2.89989e6 | + | 1.27053e7i | −0.193362 | + | 0.847176i | ||||
\(743\) | 9.33600e6 | − | 1.17070e7i | 0.620424 | − | 0.777987i | −0.367980 | − | 0.929834i | \(-0.619951\pi\) |
0.988404 | + | 0.151846i | \(0.0485219\pi\) | |||||||
\(744\) | −3.03650e6 | − | 1.46230e6i | −0.201113 | − | 0.0968509i | ||||
\(745\) | 1.13655e7 | − | 1.42519e7i | 0.750238 | − | 0.940768i | ||||
\(746\) | 3.14340e6 | + | 1.37722e7i | 0.206801 | + | 0.906056i | ||||
\(747\) | 4.82104e6 | − | 2.32169e6i | 0.316110 | − | 0.152231i | ||||
\(748\) | −5.73397e6 | + | 2.76134e6i | −0.374716 | + | 0.180454i | ||||
\(749\) | −3.53635e6 | − | 4.43444e6i | −0.230330 | − | 0.288825i | ||||
\(750\) | 2.92378e6 | + | 1.28099e7i | 0.189798 | + | 0.831558i | ||||
\(751\) | −781987. | + | 3.42611e6i | −0.0505941 | + | 0.221667i | −0.993904 | − | 0.110245i | \(-0.964837\pi\) |
0.943310 | + | 0.331912i | \(0.107694\pi\) | |||||||
\(752\) | 47865.1 | + | 60021.0i | 0.00308656 | + | 0.00387042i | ||||
\(753\) | 1.15454e7 | + | 1.44774e7i | 0.742027 | + | 0.930473i | ||||
\(754\) | −17318.6 | + | 75877.6i | −0.00110939 | + | 0.00486055i | ||||
\(755\) | 4.51660e6 | + | 1.97885e7i | 0.288366 | + | 1.26342i | ||||
\(756\) | 2.70605e6 | + | 3.39328e6i | 0.172199 | + | 0.215931i | ||||
\(757\) | −2.19111e6 | + | 1.05518e6i | −0.138971 | + | 0.0669250i | −0.502077 | − | 0.864823i | \(-0.667431\pi\) |
0.363106 | + | 0.931748i | \(0.381716\pi\) | |||||||
\(758\) | −4.67593e6 | + | 2.25181e6i | −0.295594 | + | 0.142350i | ||||
\(759\) | −2.22034e6 | − | 9.72796e6i | −0.139899 | − | 0.612939i | ||||
\(760\) | −2.28902e6 | + | 2.87034e6i | −0.143753 | + | 0.180260i | ||||
\(761\) | 6.58592e6 | + | 3.17161e6i | 0.412244 | + | 0.198526i | 0.628499 | − | 0.777811i | \(-0.283670\pi\) |
−0.216254 | + | 0.976337i | \(0.569384\pi\) | |||||||
\(762\) | 1.41736e6 | − | 1.77731e6i | 0.0884286 | − | 0.110886i | ||||
\(763\) | −4.97237e6 | + | 2.17854e7i | −0.309209 | + | 1.35473i | ||||
\(764\) | −1.13797e7 | + | 5.48018e6i | −0.705339 | + | 0.339673i | ||||
\(765\) | 2.42883e6 | − | 1.06414e7i | 0.150053 | − | 0.657423i | ||||
\(766\) | −1.44201e7 | − | 6.94437e6i | −0.887968 | − | 0.427623i | ||||
\(767\) | −145844. | −0.00895156 | ||||||||
\(768\) | −2.08269e7 | −1.27415 | ||||||||
\(769\) | −1.88941e7 | − | 9.09894e6i | −1.15216 | − | 0.554849i | −0.242475 | − | 0.970158i | \(-0.577959\pi\) |
−0.909681 | + | 0.415308i | \(0.863674\pi\) | |||||||
\(770\) | 1.20300e6 | + | 5.27069e6i | 0.0731204 | + | 0.320361i | ||||
\(771\) | −1.41821e6 | − | 1.77838e6i | −0.0859221 | − | 0.107743i | ||||
\(772\) | −905086. | + | 1.13494e6i | −0.0546571 | + | 0.0685378i | ||||
\(773\) | 1.40789e7 | 0.847459 | 0.423729 | − | 0.905789i | \(-0.360721\pi\) | ||||
0.423729 | + | 0.905789i | \(0.360721\pi\) | |||||||
\(774\) | 3.49602e6 | − | 5.97075e6i | 0.209759 | − | 0.358242i | ||||
\(775\) | −697638. | −0.0417230 | ||||||||
\(776\) | −2.01661e7 | + | 2.52875e7i | −1.20217 | + | 1.50748i | ||||
\(777\) | 5.29232e6 | + | 6.63636e6i | 0.314480 | + | 0.394346i | ||||
\(778\) | −2.03441e6 | − | 8.91331e6i | −0.120500 | − | 0.527947i | ||||
\(779\) | 5.88384e6 | + | 2.83351e6i | 0.347390 | + | 0.167294i | ||||
\(780\) | −102285. | −0.00601971 | ||||||||
\(781\) | −1.85543e7 | −1.08847 | ||||||||
\(782\) | −8.84302e6 | − | 4.25857e6i | −0.517111 | − | 0.249027i | ||||
\(783\) | 1.52468e6 | − | 6.68006e6i | 0.0888740 | − | 0.389382i | ||||
\(784\) | −55568.7 | + | 26760.5i | −0.00322879 | + | 0.00155491i | ||||
\(785\) | 4.10686e6 | − | 1.79933e7i | 0.237868 | − | 1.04217i | ||||
\(786\) | −895209. | + | 1.12256e6i | −0.0516854 | + | 0.0648114i | ||||
\(787\) | 1.20088e7 | + | 5.78313e6i | 0.691135 | + | 0.332833i | 0.746268 | − | 0.665646i | \(-0.231844\pi\) |
−0.0551329 | + | 0.998479i | \(0.517558\pi\) | |||||||
\(788\) | −955612. | + | 1.19830e6i | −0.0548234 | + | 0.0687464i | ||||
\(789\) | 342963. | + | 1.50262e6i | 0.0196135 | + | 0.0859323i | ||||
\(790\) | −2.14851e6 | + | 1.03467e6i | −0.122481 | + | 0.0589837i | ||||
\(791\) | −1.86130e7 | + | 8.96353e6i | −1.05773 | + | 0.509375i | ||||
\(792\) | −4.33696e6 | − | 5.43837e6i | −0.245681 | − | 0.308075i | ||||
\(793\) | 49530.7 | + | 217008.i | 0.00279700 | + | 0.0122544i | ||||
\(794\) | 2.34232e6 | − | 1.02624e7i | 0.131854 | − | 0.577692i | ||||
\(795\) | 1.68583e7 | + | 2.11396e7i | 0.946009 | + | 1.18626i | ||||
\(796\) | −1.17222e7 | − | 1.46992e7i | −0.655735 | − | 0.822265i | ||||
\(797\) | 3.94091e6 | − | 1.72663e7i | 0.219761 | − | 0.962837i | −0.737893 | − | 0.674917i | \(-0.764179\pi\) |
0.957655 | − | 0.287920i | \(-0.0929636\pi\) | |||||||
\(798\) | 896955. | + | 3.92982e6i | 0.0498613 | + | 0.218457i | ||||
\(799\) | 2.34371e6 | + | 2.93891e6i | 0.129878 | + | 0.162862i | ||||
\(800\) | −3.95131e6 | + | 1.90285e6i | −0.218281 | + | 0.105119i | ||||
\(801\) | 1.60051e7 | − | 7.70764e6i | 0.881407 | − | 0.424463i | ||||
\(802\) | 415669. | + | 1.82116e6i | 0.0228198 | + | 0.0999800i | ||||
\(803\) | 322232. | − | 404067.i | 0.0176352 | − | 0.0221138i | ||||
\(804\) | −1.88533e7 | − | 9.07926e6i | −1.02860 | − | 0.495348i | ||||
\(805\) | 8.85200e6 | − | 1.11001e7i | 0.481451 | − | 0.603720i | ||||
\(806\) | −3662.00 | + | 16044.3i | −0.000198555 | + | 0.000869927i | ||||
\(807\) | 5.92583e6 | − | 2.85373e6i | 0.320306 | − | 0.154251i | ||||
\(808\) | 4.54013e6 | − | 1.98916e7i | 0.244647 | − | 1.07187i | ||||
\(809\) | 2.78908e7 | + | 1.34315e7i | 1.49827 | + | 0.721529i | 0.990183 | − | 0.139778i | \(-0.0446387\pi\) |
0.508086 | + | 0.861306i | \(0.330353\pi\) | |||||||
\(810\) | −1.20443e7 | −0.645015 | ||||||||
\(811\) | −6.83710e6 | −0.365022 | −0.182511 | − | 0.983204i | \(-0.558423\pi\) | ||||
−0.182511 | + | 0.983204i | \(0.558423\pi\) | |||||||
\(812\) | 1.10089e7 | + | 5.30163e6i | 0.585943 | + | 0.282175i | ||||
\(813\) | −5.64352e6 | − | 2.47259e7i | −0.299449 | − | 1.31197i | ||||
\(814\) | 1.52515e6 | + | 1.91247e6i | 0.0806771 | + | 0.101166i | ||||
\(815\) | 3.91763e6 | − | 4.91256e6i | 0.206600 | − | 0.259068i | ||||
\(816\) | 753520. | 0.0396159 | ||||||||
\(817\) | 4.22342e6 | − | 2.84185e6i | 0.221365 | − | 0.148952i | ||||
\(818\) | −1.36167e7 | −0.711522 | ||||||||
\(819\) | −73486.0 | + | 92148.6i | −0.00382820 | + | 0.00480042i | ||||
\(820\) | −9.52609e6 | − | 1.19453e7i | −0.494743 | − | 0.620388i | ||||
\(821\) | 4.60753e6 | + | 2.01869e7i | 0.238567 | + | 1.04523i | 0.942301 | + | 0.334767i | \(0.108657\pi\) |
−0.703734 | + | 0.710463i | \(0.748485\pi\) | |||||||
\(822\) | 1.23504e7 | + | 5.94762e6i | 0.637529 | + | 0.307018i | ||||
\(823\) | 1.87906e7 | 0.967030 | 0.483515 | − | 0.875336i | \(-0.339360\pi\) | ||||
0.483515 | + | 0.875336i | \(0.339360\pi\) | |||||||
\(824\) | 2.93205e7 | 1.50436 | ||||||||
\(825\) | −3.19807e6 | − | 1.54011e6i | −0.163588 | − | 0.0787801i | ||||
\(826\) | 2.99213e6 | − | 1.31094e7i | 0.152591 | − | 0.668546i | ||||
\(827\) | 2.60749e7 | − | 1.25570e7i | 1.32574 | − | 0.638444i | 0.369014 | − | 0.929424i | \(-0.379696\pi\) |
0.956729 | + | 0.290980i | \(0.0939812\pi\) | |||||||
\(828\) | −1.57110e6 | + | 6.88345e6i | −0.0796395 | + | 0.348924i | ||||
\(829\) | −1.19612e7 | + | 1.49988e7i | −0.604487 | + | 0.758003i | −0.986070 | − | 0.166332i | \(-0.946808\pi\) |
0.381583 | + | 0.924335i | \(0.375379\pi\) | |||||||
\(830\) | 4.87330e6 | + | 2.34686e6i | 0.245543 | + | 0.118247i | ||||
\(831\) | −1.47659e7 | + | 1.85159e7i | −0.741750 | + | 0.930125i | ||||
\(832\) | 22009.1 | + | 96428.2i | 0.00110229 | + | 0.00482943i | ||||
\(833\) | −2.72091e6 | + | 1.31032e6i | −0.135863 | + | 0.0654283i | ||||
\(834\) | 8.42344e6 | − | 4.05651e6i | 0.419348 | − | 0.201947i | ||||
\(835\) | −2.39304e6 | − | 3.00078e6i | −0.118777 | − | 0.148942i | ||||
\(836\) | −440158. | − | 1.92846e6i | −0.0217817 | − | 0.0954321i | ||||
\(837\) | 322393. | − | 1.41250e6i | 0.0159064 | − | 0.0696905i | ||||
\(838\) | 5.17825e6 | + | 6.49332e6i | 0.254726 | + | 0.319416i | ||||
\(839\) | 2.14298e7 | + | 2.68721e7i | 1.05102 | + | 1.31794i | 0.946247 | + | 0.323445i | \(0.104841\pi\) |
0.104776 | + | 0.994496i | \(0.466587\pi\) | |||||||
\(840\) | 5.42931e6 | − | 2.37873e7i | 0.265489 | − | 1.16318i | ||||
\(841\) | 271675. | + | 1.19029e6i | 0.0132452 | + | 0.0580312i | ||||
\(842\) | 2.54734e6 | + | 3.19426e6i | 0.123824 | + | 0.155271i | ||||
\(843\) | −2.07261e7 | + | 9.98115e6i | −1.00450 | + | 0.483740i | ||||
\(844\) | −1.06992e7 | + | 5.15247e6i | −0.517006 | + | 0.248977i | ||||
\(845\) | −4.02512e6 | − | 1.76352e7i | −0.193926 | − | 0.849647i | ||||
\(846\) | −990087. | + | 1.24153e6i | −0.0475606 | + | 0.0596391i | ||||
\(847\) | 1.32335e7 | + | 6.37292e6i | 0.633821 | + | 0.305232i | ||||
\(848\) | −472092. | + | 591985.i | −0.0225443 | + | 0.0282697i | ||||
\(849\) | 1.05949e7 | − | 4.64193e7i | 0.504461 | − | 2.21019i | ||||
\(850\) | −3.14578e6 | + | 1.51493e6i | −0.149342 | + | 0.0719193i | ||||
\(851\) | 1.42945e6 | − | 6.26285e6i | 0.0676622 | − | 0.296448i | ||||
\(852\) | 2.91604e7 | + | 1.40429e7i | 1.37624 | + | 0.662764i | ||||
\(853\) | −4.94726e6 | −0.232805 | −0.116402 | − | 0.993202i | \(-0.537136\pi\) | ||||
−0.116402 | + | 0.993202i | \(0.537136\pi\) | |||||||
\(854\) | −2.05223e7 | −0.962899 | ||||||||
\(855\) | 3.05652e6 | + | 1.47194e6i | 0.142992 | + | 0.0688614i | ||||
\(856\) | 1.64150e6 | + | 7.19187e6i | 0.0765695 | + | 0.335473i | ||||
\(857\) | 5.35376e6 | + | 6.71340e6i | 0.249004 | + | 0.312241i | 0.890587 | − | 0.454812i | \(-0.150294\pi\) |
−0.641583 | + | 0.767053i | \(0.721722\pi\) | |||||||
\(858\) | −52206.5 | + | 65464.9i | −0.00242107 | + | 0.00303592i | ||||
\(859\) | 8.32003e6 | 0.384718 | 0.192359 | − | 0.981325i | \(-0.438386\pi\) | ||||
0.192359 | + | 0.981325i | \(0.438386\pi\) | |||||||
\(860\) | −1.17872e7 | + | 1.70306e6i | −0.543455 | + | 0.0785207i | ||||
\(861\) | −4.34014e7 | −1.99524 | ||||||||
\(862\) | 3.56260e6 | − | 4.46736e6i | 0.163305 | − | 0.204778i | ||||
\(863\) | −914086. | − | 1.14623e6i | −0.0417792 | − | 0.0523894i | 0.760503 | − | 0.649334i | \(-0.224952\pi\) |
−0.802282 | + | 0.596945i | \(0.796381\pi\) | |||||||
\(864\) | −2.02669e6 | − | 8.87950e6i | −0.0923640 | − | 0.404673i | ||||
\(865\) | −1.45686e7 | − | 7.01588e6i | −0.662031 | − | 0.318818i | ||||
\(866\) | 2.04405e7 | 0.926183 | ||||||||
\(867\) | 8.18653e6 | 0.369873 | ||||||||
\(868\) | 2.32783e6 | + | 1.12103e6i | 0.104870 | + | 0.0505029i | ||||
\(869\) | 739696. | − | 3.24082e6i | 0.0332280 | − | 0.145581i | ||||
\(870\) | −1.34136e7 | + | 6.45966e6i | −0.600825 | + | 0.289342i | ||||
\(871\) | −58826.4 | + | 257735.i | −0.00262740 | + | 0.0115114i | ||||
\(872\) | 1.81203e7 | − | 2.27221e7i | 0.807002 | − | 1.01195i | ||||
\(873\) | 2.69277e7 | + | 1.29677e7i | 1.19581 | + | 0.575873i | ||||
\(874\) | 1.90201e6 | − | 2.38504e6i | 0.0842235 | − | 0.105613i | ||||
\(875\) | −5.79913e6 | − | 2.54076e7i | −0.256061 | − | 1.12187i | ||||
\(876\) | −812249. | + | 391158.i | −0.0357626 | + | 0.0172223i | ||||
\(877\) | 1.49988e7 | − | 7.22306e6i | 0.658504 | − | 0.317119i | −0.0746217 | − | 0.997212i | \(-0.523775\pi\) |
0.733126 | + | 0.680093i | \(0.238061\pi\) | |||||||
\(878\) | −9.84721e6 | − | 1.23480e7i | −0.431099 | − | 0.540581i | ||||
\(879\) | −1.64239e6 | − | 7.19576e6i | −0.0716974 | − | 0.314127i | ||||
\(880\) | −69895.9 | + | 306234.i | −0.00304260 | + | 0.0133305i | ||||
\(881\) | −1.16172e7 | − | 1.45675e7i | −0.504268 | − | 0.632332i | 0.462918 | − | 0.886401i | \(-0.346802\pi\) |
−0.967186 | + | 0.254069i | \(0.918231\pi\) | |||||||
\(882\) | −795434. | − | 997443.i | −0.0344297 | − | 0.0431734i | ||||
\(883\) | −7.16440e6 | + | 3.13893e7i | −0.309227 | + | 1.35481i | 0.546532 | + | 0.837439i | \(0.315948\pi\) |
−0.855759 | + | 0.517375i | \(0.826909\pi\) | |||||||
\(884\) | −31209.1 | − | 136736.i | −0.00134323 | − | 0.00588507i | ||||
\(885\) | −1.73945e7 | − | 2.18120e7i | −0.746540 | − | 0.936132i | ||||
\(886\) | 2.25742e7 | − | 1.08712e7i | 0.966114 | − | 0.465256i | ||||
\(887\) | −3.09482e7 | + | 1.49039e7i | −1.32077 | + | 0.636048i | −0.955538 | − | 0.294869i | \(-0.904724\pi\) |
−0.365230 | + | 0.930917i | \(0.619010\pi\) | |||||||
\(888\) | −2.45658e6 | − | 1.07630e7i | −0.104544 | − | 0.458037i | ||||
\(889\) | −2.81125e6 | + | 3.52519e6i | −0.119301 | + | 0.149599i | ||||
\(890\) | 1.61786e7 | + | 7.79120e6i | 0.684645 | + | 0.329708i | ||||
\(891\) | 1.04681e7 | − | 1.31266e7i | 0.441747 | − | 0.553933i | ||||
\(892\) | 1.24127e6 | − | 5.43837e6i | 0.0522342 | − | 0.228853i | ||||
\(893\) | −1.05263e6 | + | 506919.i | −0.0441719 | + | 0.0212721i | ||||
\(894\) | −5.79234e6 | + | 2.53779e7i | −0.242387 | + | 1.06197i | ||||
\(895\) | 1.94015e7 | + | 9.34326e6i | 0.809613 | + | 0.389889i | ||||
\(896\) | 1.66613e7 | 0.693330 | ||||||||
\(897\) | 219894. | 0.00912498 | ||||||||
\(898\) | −2.11421e7 | − | 1.01815e7i | −0.874896 | − | 0.421328i | ||||
\(899\) | −907643. | − | 3.97665e6i | −0.0374555 | − | 0.164103i | ||||
\(900\) | 1.56600e6 | + | 1.96370e6i | 0.0644444 | + | 0.0808107i | ||||
\(901\) | −2.31159e7 | + | 2.89864e7i | −0.948634 | + | 1.18955i | ||||
\(902\) | −1.25074e7 | −0.511861 | ||||||||
\(903\) | −1.70941e7 | + | 2.91946e7i | −0.697635 | + | 1.19147i | ||||
\(904\) | 2.68689e7 | 1.09352 | ||||||||
\(905\) | 2.23218e7 | − | 2.79907e7i | 0.905959 | − | 1.13604i | ||||
\(906\) | −1.80715e7 | − | 2.26609e7i | −0.731430 | − | 0.917184i | ||||
\(907\) | 5.58736e6 | + | 2.44798e7i | 0.225522 | + | 0.988076i | 0.953244 | + | 0.302203i | \(0.0977221\pi\) |
−0.727722 | + | 0.685873i | \(0.759421\pi\) | |||||||
\(908\) | −1.42954e7 | − | 6.88430e6i | −0.575415 | − | 0.277105i | ||||
\(909\) | −1.88536e7 | −0.756807 | ||||||||
\(910\) | −119140. | −0.00476930 | ||||||||
\(911\) | 3.17969e7 | + | 1.53126e7i | 1.26937 | + | 0.611297i | 0.942637 | − | 0.333819i | \(-0.108337\pi\) |
0.326735 | + | 0.945116i | \(0.394052\pi\) | |||||||
\(912\) | −52114.3 | + | 228328.i | −0.00207477 | + | 0.00909016i | ||||
\(913\) | −6.79328e6 | + | 3.27147e6i | −0.269713 | + | 0.129887i | ||||
\(914\) | −4.65747e6 | + | 2.04057e7i | −0.184410 | + | 0.807953i | ||||
\(915\) | −2.65478e7 | + | 3.32898e7i | −1.04828 | + | 1.31450i | ||||
\(916\) | −3.07555e6 | − | 1.48111e6i | −0.121111 | − | 0.0583240i | ||||
\(917\) | 1.77559e6 | − | 2.22652e6i | 0.0697300 | − | 0.0874387i | ||||
\(918\) | −1.61352e6 | − | 7.06930e6i | −0.0631929 | − | 0.276866i | ||||
\(919\) | −1.50399e6 | + | 724286.i | −0.0587432 | + | 0.0282892i | −0.463025 | − | 0.886345i | \(-0.653236\pi\) |
0.404282 | + | 0.914635i | \(0.367522\pi\) | |||||||
\(920\) | −1.66366e7 | + | 8.01179e6i | −0.648032 | + | 0.312076i | ||||
\(921\) | −1.17113e7 | − | 1.46855e7i | −0.454941 | − | 0.570478i | ||||
\(922\) | −4.36375e6 | − | 1.91189e7i | −0.169057 | − | 0.740687i | ||||
\(923\) | 90987.1 | − | 398640.i | 0.00351541 | − | 0.0154020i | ||||
\(924\) | 8.19633e6 | + | 1.02779e7i | 0.315820 | + | 0.396026i | ||||
\(925\) | −1.42481e6 | − | 1.78666e6i | −0.0547524 | − | 0.0686573i | ||||
\(926\) | −240851. | + | 1.05524e6i | −0.00923039 | + | 0.0404410i | ||||
\(927\) | −6.02891e6 | − | 2.64144e7i | −0.230430 | − | 1.00958i | ||||
\(928\) | −1.59873e7 | − | 2.00474e7i | −0.609404 | − | 0.764169i | ||||
\(929\) | −1.66979e7 | + | 8.04129e6i | −0.634780 | + | 0.305694i | −0.723460 | − | 0.690366i | \(-0.757449\pi\) |
0.0886803 | + | 0.996060i | \(0.471735\pi\) | |||||||
\(930\) | −2.83630e6 | + | 1.36589e6i | −0.107534 | + | 0.0517856i | ||||
\(931\) | −208866. | − | 915100.i | −0.00789756 | − | 0.0346015i | ||||
\(932\) | 951532. | − | 1.19318e6i | 0.0358826 | − | 0.0449953i | ||||
\(933\) | 5.01288e7 | + | 2.41407e7i | 1.88531 | + | 0.907918i | ||||
\(934\) | 1.17414e7 | − | 1.47233e7i | 0.440407 | − | 0.552253i | ||||
\(935\) | −3.42244e6 | + | 1.49947e7i | −0.128029 | + | 0.560930i | ||||
\(936\) | 138111. | − | 66510.9i | 0.00515276 | − | 0.00248144i | ||||
\(937\) | 3.86499e6 | − | 1.69336e7i | 0.143813 | − | 0.630087i | −0.850716 | − | 0.525626i | \(-0.823831\pi\) |
0.994529 | − | 0.104461i | \(-0.0333118\pi\) | |||||||
\(938\) | −2.19600e7 | − | 1.05754e7i | −0.814940 | − | 0.392455i | ||||
\(939\) | −3.44419e6 | −0.127474 | ||||||||
\(940\) | 2.73338e6 | 0.100897 | ||||||||
\(941\) | −1.84370e7 | − | 8.87877e6i | −0.678758 | − | 0.326873i | 0.0625458 | − | 0.998042i | \(-0.480078\pi\) |
−0.741304 | + | 0.671169i | \(0.765792\pi\) | |||||||
\(942\) | 5.86452e6 | + | 2.56942e7i | 0.215330 | + | 0.943424i | ||||
\(943\) | 2.04793e7 | + | 2.56802e7i | 0.749957 | + | 0.940416i | ||||
\(944\) | 487107. | − | 610813.i | 0.0177908 | − | 0.0223089i | ||||
\(945\) | 1.04888e7 | 0.382072 | ||||||||
\(946\) | −4.92620e6 | + | 8.41333e6i | −0.178972 | + | 0.305661i | ||||
\(947\) | 1.50263e6 | 0.0544475 | 0.0272238 | − | 0.999629i | \(-0.491333\pi\) | ||||
0.0272238 | + | 0.999629i | \(0.491333\pi\) | |||||||
\(948\) | −3.61536e6 | + | 4.53352e6i | −0.130656 | + | 0.163838i | ||||
\(949\) | 7101.22 | + | 8904.65i | 0.000255957 | + | 0.000320960i | ||||
\(950\) | −241480. | − | 1.05799e6i | −0.00868106 | − | 0.0380342i | ||||
\(951\) | −206126. | − | 99265.1i | −0.00739064 | − | 0.00355914i | ||||
\(952\) | 3.34558e7 | 1.19641 | ||||||||
\(953\) | 1.24454e7 | 0.443892 | 0.221946 | − | 0.975059i | \(-0.428759\pi\) | ||||
0.221946 | + | 0.975059i | \(0.428759\pi\) | |||||||
\(954\) | −1.41111e7 | − | 6.79555e6i | −0.501985 | − | 0.241743i | ||||
\(955\) | −6.79221e6 | + | 2.97586e7i | −0.240992 | + | 1.05586i | ||||
\(956\) | −8.95573e6 | + | 4.31285e6i | −0.316925 | + | 0.152623i | ||||
\(957\) | 4.61810e6 | − | 2.02332e7i | 0.162998 | − | 0.714142i | ||||
\(958\) | 1.40066e7 | − | 1.75637e7i | 0.493081 | − | 0.618304i | ||||
\(959\) | −2.44962e7 | − | 1.17967e7i | −0.860105 | − | 0.414205i | ||||
\(960\) | −1.17966e7 | + | 1.47924e7i | −0.413121 | + | 0.518038i | ||||
\(961\) | 6.17866e6 | + | 2.70705e7i | 0.215817 | + | 0.945557i | ||||
\(962\) | −48568.6 | + | 23389.4i | −0.00169207 | + | 0.000814857i | ||||
\(963\) | 6.14152e6 | − | 2.95760e6i | 0.213408 | − | 0.102772i | ||||
\(964\) | 2.11724e7 | + | 2.65493e7i | 0.733800 | + | 0.920155i | ||||
\(965\) | 780639. | + | 3.42020e6i | 0.0269856 | + | 0.118232i | ||||
\(966\) | −4.51134e6 | + | 1.97655e7i | −0.155547 | + | 0.681498i | ||||
\(967\) | −1.12233e7 | − | 1.40735e7i | −0.385969 | − | 0.483990i | 0.550453 | − | 0.834866i | \(-0.314455\pi\) |
−0.936422 | + | 0.350876i | \(0.885884\pi\) | |||||||
\(968\) | −1.19107e7 | − | 1.49356e7i | −0.408554 | − | 0.512311i | ||||
\(969\) | −2.55177e6 | + | 1.11800e7i | −0.0873035 | + | 0.382502i | ||||
\(970\) | 6.72269e6 | + | 2.94540e7i | 0.229411 | + | 1.00511i | ||||
\(971\) | 1.41869e7 | + | 1.77898e7i | 0.482880 | + | 0.605513i | 0.962272 | − | 0.272088i | \(-0.0877142\pi\) |
−0.479392 | + | 0.877601i | \(0.659143\pi\) | |||||||
\(972\) | −1.95010e7 | + | 9.39118e6i | −0.662050 | + | 0.318826i | ||||
\(973\) | −1.67074e7 | + | 8.04585e6i | −0.565752 | + | 0.272452i | ||||
\(974\) | 6.67591e6 | + | 2.92491e7i | 0.225483 | + | 0.987904i | ||||
\(975\) | 48772.0 | − | 61158.2i | 0.00164308 | − | 0.00206036i | ||||
\(976\) | −1.07429e6 | − | 517351.i | −0.0360992 | − | 0.0173844i | ||||
\(977\) | 2.98343e7 | − | 3.74110e7i | 0.999952 | − | 1.25390i | 0.0328633 | − | 0.999460i | \(-0.489537\pi\) |
0.967089 | − | 0.254440i | \(-0.0818912\pi\) | |||||||
\(978\) | −1.99659e6 | + | 8.74762e6i | −0.0667484 | + | 0.292444i | ||||
\(979\) | −2.25526e7 | + | 1.08608e7i | −0.752038 | + | 0.362163i | ||||
\(980\) | −488654. | + | 2.14093e6i | −0.0162531 | + | 0.0712095i | ||||
\(981\) | −2.41960e7 | − | 1.16522e7i | −0.802732 | − | 0.386575i | ||||
\(982\) | −1.44524e7 | −0.478258 | ||||||||
\(983\) | 9.04771e6 | 0.298645 | 0.149322 | − | 0.988789i | \(-0.452291\pi\) | ||||
0.149322 | + | 0.988789i | \(0.452291\pi\) | |||||||
\(984\) | 5.08577e7 | + | 2.44918e7i | 1.67444 | + | 0.806367i | ||||
\(985\) | 824218. | + | 3.61113e6i | 0.0270677 | + | 0.118591i | ||||
\(986\) | −1.27281e7 | − | 1.59605e7i | −0.416937 | − | 0.522823i | ||||
\(987\) | 4.84113e6 | − | 6.07059e6i | 0.158181 | − | 0.198353i | ||||
\(988\) | 43591.4 | 0.00142072 | ||||||||
\(989\) | 2.53402e7 | − | 3.66127e6i | 0.823797 | − | 0.119026i | ||||
\(990\) | −6.49734e6 | −0.210692 | ||||||||
\(991\) | 1.65301e7 | − | 2.07280e7i | 0.534676 | − | 0.670462i | −0.438977 | − | 0.898498i | \(-0.644659\pi\) |
0.973653 | + | 0.228036i | \(0.0732304\pi\) | |||||||
\(992\) | −3.38051e6 | − | 4.23902e6i | −0.109069 | − | 0.136769i | ||||
\(993\) | −1.55840e6 | − | 6.82779e6i | −0.0501539 | − | 0.219739i | ||||
\(994\) | 3.39657e7 | + | 1.63570e7i | 1.09037 | + | 0.525095i | ||||
\(995\) | −4.54360e7 | −1.45493 | ||||||||
\(996\) | 1.31525e7 | 0.420108 | ||||||||
\(997\) | 810829. | + | 390475.i | 0.0258340 | + | 0.0124410i | 0.446756 | − | 0.894656i | \(-0.352579\pi\) |
−0.420922 | + | 0.907097i | \(0.638293\pi\) | |||||||
\(998\) | −1.05669e6 | + | 4.62965e6i | −0.0335831 | + | 0.147137i | ||||
\(999\) | 4.27585e6 | − | 2.05914e6i | 0.135553 | − | 0.0652788i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.6.e.a.4.7 | ✓ | 108 | |
43.11 | even | 7 | inner | 43.6.e.a.11.7 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.7 | ✓ | 108 | 1.1 | even | 1 | trivial | |
43.6.e.a.11.7 | yes | 108 | 43.11 | even | 7 | inner |