Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (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: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 16.11 | ||
Character | \(\chi\) | \(=\) | 29.16 |
Dual form | 29.6.d.a.20.11 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 8.40631 | + | 4.04827i | 1.48604 | + | 0.715639i | 0.988418 | − | 0.151755i | \(-0.0484924\pi\) |
0.497622 | + | 0.867394i | \(0.334207\pi\) | |||||||
\(3\) | −6.82615 | + | 8.55972i | −0.437898 | + | 0.549106i | −0.950988 | − | 0.309228i | \(-0.899929\pi\) |
0.513090 | + | 0.858335i | \(0.328501\pi\) | |||||||
\(4\) | 34.3260 | + | 43.0434i | 1.07269 | + | 1.34511i | ||||
\(5\) | 14.9245 | + | 7.18727i | 0.266978 | + | 0.128570i | 0.562584 | − | 0.826740i | \(-0.309807\pi\) |
−0.295606 | + | 0.955310i | \(0.595522\pi\) | |||||||
\(6\) | −92.0348 | + | 44.3216i | −1.04370 | + | 0.502617i | ||||
\(7\) | −4.02352 | + | 5.04533i | −0.0310357 | + | 0.0389175i | −0.797107 | − | 0.603838i | \(-0.793637\pi\) |
0.766071 | + | 0.642755i | \(0.222209\pi\) | |||||||
\(8\) | 47.8656 | + | 209.713i | 0.264423 | + | 1.15851i | ||||
\(9\) | 27.4001 | + | 120.048i | 0.112758 | + | 0.494023i | ||||
\(10\) | 96.3641 | + | 120.837i | 0.304730 | + | 0.382120i | ||||
\(11\) | 77.6267 | − | 340.105i | 0.193432 | − | 0.847483i | −0.781309 | − | 0.624145i | \(-0.785448\pi\) |
0.974741 | − | 0.223338i | \(-0.0716954\pi\) | |||||||
\(12\) | −602.754 | −1.20833 | ||||||||
\(13\) | 156.232 | − | 684.496i | 0.256396 | − | 1.12334i | −0.668677 | − | 0.743553i | \(-0.733139\pi\) |
0.925073 | − | 0.379790i | \(-0.124004\pi\) | |||||||
\(14\) | −54.2478 | + | 26.1244i | −0.0739711 | + | 0.0356226i | ||||
\(15\) | −163.398 | + | 78.6883i | −0.187507 | + | 0.0902988i | ||||
\(16\) | −54.5753 | + | 239.110i | −0.0532962 | + | 0.233506i | ||||
\(17\) | 833.769 | 0.699718 | 0.349859 | − | 0.936802i | \(-0.386229\pi\) | ||||
0.349859 | + | 0.936802i | \(0.386229\pi\) | |||||||
\(18\) | −255.651 | + | 1120.08i | −0.185980 | + | 0.814832i | ||||
\(19\) | 449.395 | + | 563.523i | 0.285591 | + | 0.358119i | 0.903846 | − | 0.427858i | \(-0.140732\pi\) |
−0.618255 | + | 0.785977i | \(0.712160\pi\) | |||||||
\(20\) | 202.934 | + | 889.111i | 0.113443 | + | 0.497028i | ||||
\(21\) | −15.7215 | − | 68.8804i | −0.00777940 | − | 0.0340838i | ||||
\(22\) | 2029.39 | − | 2544.77i | 0.893940 | − | 1.12097i | ||||
\(23\) | −290.165 | + | 139.736i | −0.114373 | + | 0.0550793i | −0.490196 | − | 0.871613i | \(-0.663075\pi\) |
0.375822 | + | 0.926692i | \(0.377360\pi\) | |||||||
\(24\) | −2121.82 | − | 1021.82i | −0.751936 | − | 0.362113i | ||||
\(25\) | −1777.32 | − | 2228.69i | −0.568743 | − | 0.713181i | ||||
\(26\) | 4084.35 | − | 5121.62i | 1.18492 | − | 1.48585i | ||||
\(27\) | −3611.58 | − | 1739.25i | −0.953428 | − | 0.459147i | ||||
\(28\) | −355.280 | −0.0856397 | ||||||||
\(29\) | −2562.61 | + | 3734.19i | −0.565832 | + | 0.824520i | ||||
\(30\) | −1692.13 | −0.343265 | ||||||||
\(31\) | −3108.95 | − | 1497.19i | −0.581044 | − | 0.279816i | 0.120186 | − | 0.992751i | \(-0.461651\pi\) |
−0.701230 | + | 0.712935i | \(0.747365\pi\) | |||||||
\(32\) | 2864.97 | − | 3592.56i | 0.494589 | − | 0.620196i | ||||
\(33\) | 2381.31 | + | 2986.07i | 0.380655 | + | 0.477326i | ||||
\(34\) | 7008.92 | + | 3375.32i | 1.03981 | + | 0.500746i | ||||
\(35\) | −96.3112 | + | 46.3810i | −0.0132894 | + | 0.00639986i | ||||
\(36\) | −4226.72 | + | 5300.14i | −0.543560 | + | 0.681602i | ||||
\(37\) | 2513.15 | + | 11010.8i | 0.301796 | + | 1.32226i | 0.867413 | + | 0.497589i | \(0.165781\pi\) |
−0.565617 | + | 0.824668i | \(0.691362\pi\) | |||||||
\(38\) | 1496.46 | + | 6556.42i | 0.168115 | + | 0.736560i | ||||
\(39\) | 4792.63 | + | 6009.77i | 0.504560 | + | 0.632698i | ||||
\(40\) | −792.892 | + | 3473.89i | −0.0783545 | + | 0.343294i | ||||
\(41\) | −704.091 | −0.0654138 | −0.0327069 | − | 0.999465i | \(-0.510413\pi\) | ||||
−0.0327069 | + | 0.999465i | \(0.510413\pi\) | |||||||
\(42\) | 146.686 | − | 642.675i | 0.0128312 | − | 0.0562171i | ||||
\(43\) | −20067.5 | + | 9664.02i | −1.65510 | + | 0.797052i | −0.655990 | + | 0.754770i | \(0.727749\pi\) |
−0.999106 | + | 0.0422824i | \(0.986537\pi\) | |||||||
\(44\) | 17303.9 | − | 8333.10i | 1.34745 | − | 0.648896i | ||||
\(45\) | −453.881 | + | 1988.58i | −0.0334126 | + | 0.146390i | ||||
\(46\) | −3004.90 | −0.209380 | ||||||||
\(47\) | 4118.50 | − | 18044.3i | 0.271953 | − | 1.19151i | −0.635751 | − | 0.771894i | \(-0.719309\pi\) |
0.907704 | − | 0.419611i | \(-0.137833\pi\) | |||||||
\(48\) | −1674.18 | − | 2099.35i | −0.104881 | − | 0.131517i | ||||
\(49\) | 3730.64 | + | 16345.0i | 0.221970 | + | 0.972512i | ||||
\(50\) | −5918.39 | − | 25930.1i | −0.334794 | − | 1.46683i | ||||
\(51\) | −5691.43 | + | 7136.83i | −0.306405 | + | 0.384220i | ||||
\(52\) | 34825.8 | − | 16771.2i | 1.78605 | − | 0.860115i | ||||
\(53\) | −2714.04 | − | 1307.01i | −0.132717 | − | 0.0639131i | 0.366347 | − | 0.930478i | \(-0.380608\pi\) |
−0.499064 | + | 0.866565i | \(0.666323\pi\) | |||||||
\(54\) | −23319.1 | − | 29241.3i | −1.08825 | − | 1.36462i | ||||
\(55\) | 3602.96 | − | 4517.97i | 0.160603 | − | 0.201390i | ||||
\(56\) | −1250.66 | − | 602.286i | −0.0532929 | − | 0.0256645i | ||||
\(57\) | −7891.24 | −0.321705 | ||||||||
\(58\) | −36659.1 | + | 21016.6i | −1.43091 | + | 0.820339i | ||||
\(59\) | 291.536 | 0.0109034 | 0.00545171 | − | 0.999985i | \(-0.498265\pi\) | ||||
0.00545171 | + | 0.999985i | \(0.498265\pi\) | |||||||
\(60\) | −8995.80 | − | 4332.15i | −0.322598 | − | 0.155355i | ||||
\(61\) | 7308.80 | − | 9164.95i | 0.251490 | − | 0.315359i | −0.640021 | − | 0.768358i | \(-0.721074\pi\) |
0.891511 | + | 0.452998i | \(0.149646\pi\) | |||||||
\(62\) | −20073.8 | − | 25171.7i | −0.663208 | − | 0.831636i | ||||
\(63\) | −715.925 | − | 344.771i | −0.0227256 | − | 0.0109441i | ||||
\(64\) | 45698.5 | − | 22007.2i | 1.39461 | − | 0.671608i | ||||
\(65\) | 7251.33 | − | 9092.88i | 0.212880 | − | 0.266943i | ||||
\(66\) | 7929.64 | + | 34742.0i | 0.224075 | + | 0.981737i | ||||
\(67\) | −4560.97 | − | 19982.9i | −0.124128 | − | 0.543841i | −0.998303 | − | 0.0582298i | \(-0.981454\pi\) |
0.874175 | − | 0.485611i | \(-0.161403\pi\) | |||||||
\(68\) | 28619.9 | + | 35888.2i | 0.750578 | + | 0.941195i | ||||
\(69\) | 784.607 | − | 3437.59i | 0.0198394 | − | 0.0869222i | ||||
\(70\) | −997.385 | −0.0243286 | ||||||||
\(71\) | −9889.13 | + | 43327.1i | −0.232816 | + | 1.02003i | 0.714476 | + | 0.699660i | \(0.246665\pi\) |
−0.947292 | + | 0.320372i | \(0.896192\pi\) | |||||||
\(72\) | −23864.0 | + | 11492.3i | −0.542516 | + | 0.261262i | ||||
\(73\) | 73100.7 | − | 35203.5i | 1.60552 | − | 0.773176i | 0.605768 | − | 0.795641i | \(-0.292866\pi\) |
0.999748 | + | 0.0224653i | \(0.00715153\pi\) | |||||||
\(74\) | −23448.5 | + | 102734.i | −0.497777 | + | 2.18090i | ||||
\(75\) | 31209.2 | 0.640664 | ||||||||
\(76\) | −8830.05 | + | 38687.0i | −0.175359 | + | 0.768300i | ||||
\(77\) | 1403.61 | + | 1760.07i | 0.0269786 | + | 0.0338301i | ||||
\(78\) | 15959.2 | + | 69921.9i | 0.297013 | + | 1.30130i | ||||
\(79\) | −17980.2 | − | 78776.3i | −0.324135 | − | 1.42013i | −0.830119 | − | 0.557586i | \(-0.811728\pi\) |
0.505984 | − | 0.862543i | \(-0.331129\pi\) | |||||||
\(80\) | −2533.06 | + | 3176.35i | −0.0442507 | + | 0.0554886i | ||||
\(81\) | 12582.1 | − | 6059.21i | 0.213079 | − | 0.102613i | ||||
\(82\) | −5918.81 | − | 2850.35i | −0.0972075 | − | 0.0468127i | ||||
\(83\) | −30691.3 | − | 38485.7i | −0.489013 | − | 0.613202i | 0.474699 | − | 0.880148i | \(-0.342557\pi\) |
−0.963712 | + | 0.266946i | \(0.913986\pi\) | |||||||
\(84\) | 2425.19 | − | 3041.09i | 0.0375014 | − | 0.0470253i | ||||
\(85\) | 12443.6 | + | 5992.52i | 0.186809 | + | 0.0899626i | ||||
\(86\) | −207817. | −3.02994 | ||||||||
\(87\) | −14470.9 | − | 47425.4i | −0.204973 | − | 0.671758i | ||||
\(88\) | 75040.0 | 1.03297 | ||||||||
\(89\) | −72226.1 | − | 34782.3i | −0.966539 | − | 0.465461i | −0.117084 | − | 0.993122i | \(-0.537355\pi\) |
−0.849455 | + | 0.527661i | \(0.823069\pi\) | |||||||
\(90\) | −11865.8 | + | 14879.2i | −0.154415 | + | 0.193631i | ||||
\(91\) | 2824.91 | + | 3542.32i | 0.0357603 | + | 0.0448420i | ||||
\(92\) | −15974.9 | − | 7693.10i | −0.196774 | − | 0.0947614i | ||||
\(93\) | 34037.7 | − | 16391.7i | 0.408087 | − | 0.196524i | ||||
\(94\) | 107670. | − | 135013.i | 1.25682 | − | 1.57600i | ||||
\(95\) | 2656.81 | + | 11640.2i | 0.0302031 | + | 0.132328i | ||||
\(96\) | 11194.6 | + | 49046.7i | 0.123974 | + | 0.543165i | ||||
\(97\) | 98642.4 | + | 123694.i | 1.06447 | + | 1.33481i | 0.939463 | + | 0.342651i | \(0.111325\pi\) |
0.125010 | + | 0.992156i | \(0.460104\pi\) | |||||||
\(98\) | −34808.0 | + | 152504.i | −0.366112 | + | 1.60404i | ||||
\(99\) | 42955.7 | 0.440487 | ||||||||
\(100\) | 34922.1 | − | 153004.i | 0.349221 | − | 1.53004i | ||||
\(101\) | 27161.2 | − | 13080.2i | 0.264939 | − | 0.127588i | −0.296699 | − | 0.954971i | \(-0.595886\pi\) |
0.561638 | + | 0.827383i | \(0.310171\pi\) | |||||||
\(102\) | −76735.7 | + | 36954.0i | −0.730293 | + | 0.351691i | ||||
\(103\) | −21572.3 | + | 94514.6i | −0.200357 | + | 0.877821i | 0.770363 | + | 0.637606i | \(0.220075\pi\) |
−0.970720 | + | 0.240215i | \(0.922782\pi\) | |||||||
\(104\) | 151026. | 1.36920 | ||||||||
\(105\) | 260.426 | − | 1141.00i | 0.00230521 | − | 0.0100998i | ||||
\(106\) | −17523.9 | − | 21974.3i | −0.151484 | − | 0.189955i | ||||
\(107\) | 9842.38 | + | 43122.3i | 0.0831076 | + | 0.364118i | 0.999332 | − | 0.0365475i | \(-0.0116360\pi\) |
−0.916224 | + | 0.400666i | \(0.868779\pi\) | |||||||
\(108\) | −49107.9 | − | 215156.i | −0.405128 | − | 1.77498i | ||||
\(109\) | 84571.0 | − | 106049.i | 0.681797 | − | 0.854946i | −0.313721 | − | 0.949515i | \(-0.601576\pi\) |
0.995518 | + | 0.0945689i | \(0.0301473\pi\) | |||||||
\(110\) | 48577.6 | − | 23393.7i | 0.382784 | − | 0.184339i | ||||
\(111\) | −111405. | − | 53649.7i | −0.858216 | − | 0.413295i | ||||
\(112\) | −986.806 | − | 1237.42i | −0.00743339 | − | 0.00932117i | ||||
\(113\) | −116060. | + | 145534.i | −0.855036 | + | 1.07218i | 0.141575 | + | 0.989928i | \(0.454783\pi\) |
−0.996611 | + | 0.0822542i | \(0.973788\pi\) | |||||||
\(114\) | −66336.2 | − | 31945.8i | −0.478067 | − | 0.230225i | ||||
\(115\) | −5334.88 | −0.0376167 | ||||||||
\(116\) | −248696. | + | 17876.2i | −1.71603 | + | 0.123348i | ||||
\(117\) | 86452.8 | 0.583868 | ||||||||
\(118\) | 2450.75 | + | 1180.22i | 0.0162029 | + | 0.00780291i | ||||
\(119\) | −3354.69 | + | 4206.64i | −0.0217162 | + | 0.0272313i | ||||
\(120\) | −24323.1 | − | 30500.2i | −0.154193 | − | 0.193352i | ||||
\(121\) | 35456.6 | + | 17075.0i | 0.220158 | + | 0.106022i | ||||
\(122\) | 98542.2 | − | 47455.4i | 0.599408 | − | 0.288660i | ||||
\(123\) | 4806.23 | − | 6026.83i | 0.0286446 | − | 0.0359191i | ||||
\(124\) | −42273.5 | − | 185212.i | −0.246896 | − | 1.08172i | ||||
\(125\) | −22026.4 | − | 96503.8i | −0.126086 | − | 0.552420i | ||||
\(126\) | −4622.56 | − | 5796.51i | −0.0259392 | − | 0.0325267i | ||||
\(127\) | −74210.7 | + | 325138.i | −0.408279 | + | 1.78879i | 0.183861 | + | 0.982952i | \(0.441141\pi\) |
−0.592140 | + | 0.805835i | \(0.701717\pi\) | |||||||
\(128\) | 326206. | 1.75981 | ||||||||
\(129\) | 54262.8 | − | 237741.i | 0.287096 | − | 1.25785i | ||||
\(130\) | 97767.4 | − | 47082.3i | 0.507383 | − | 0.244343i | ||||
\(131\) | −232330. | + | 111884.i | −1.18284 | + | 0.569628i | −0.918739 | − | 0.394866i | \(-0.870791\pi\) |
−0.264106 | + | 0.964494i | \(0.585077\pi\) | |||||||
\(132\) | −46789.8 | + | 204999.i | −0.233731 | + | 1.02404i | ||||
\(133\) | −4651.31 | −0.0228006 | ||||||||
\(134\) | 42555.2 | − | 186447.i | 0.204734 | − | 0.897000i | ||||
\(135\) | −41400.7 | − | 51914.8i | −0.195512 | − | 0.245164i | ||||
\(136\) | 39908.9 | + | 174852.i | 0.185021 | + | 0.810632i | ||||
\(137\) | 41314.6 | + | 181011.i | 0.188063 | + | 0.823956i | 0.977637 | + | 0.210301i | \(0.0674444\pi\) |
−0.789574 | + | 0.613655i | \(0.789698\pi\) | |||||||
\(138\) | 20511.9 | − | 25721.1i | 0.0916871 | − | 0.114972i | ||||
\(139\) | 84648.9 | − | 40764.8i | 0.371607 | − | 0.178957i | −0.238753 | − | 0.971080i | \(-0.576739\pi\) |
0.610361 | + | 0.792124i | \(0.291024\pi\) | |||||||
\(140\) | −5302.37 | − | 2553.49i | −0.0228639 | − | 0.0110107i | ||||
\(141\) | 126341. | + | 158426.i | 0.535176 | + | 0.671089i | ||||
\(142\) | −258531. | + | 324187.i | −1.07595 | + | 1.34920i | ||||
\(143\) | −220672. | − | 106270.i | −0.902419 | − | 0.434582i | ||||
\(144\) | −30200.0 | −0.121367 | ||||||||
\(145\) | −65084.3 | + | 37312.8i | −0.257073 | + | 0.147380i | ||||
\(146\) | 757021. | 2.93918 | ||||||||
\(147\) | −165375. | − | 79640.3i | −0.631213 | − | 0.303976i | ||||
\(148\) | −387677. | + | 486132.i | −1.45484 | + | 1.82432i | ||||
\(149\) | −130546. | − | 163699.i | −0.481722 | − | 0.604060i | 0.480276 | − | 0.877118i | \(-0.340537\pi\) |
−0.961998 | + | 0.273057i | \(0.911965\pi\) | |||||||
\(150\) | 262355. | + | 126343.i | 0.952052 | + | 0.458484i | ||||
\(151\) | −139756. | + | 67302.8i | −0.498801 | + | 0.240210i | −0.666329 | − | 0.745657i | \(-0.732136\pi\) |
0.167529 | + | 0.985867i | \(0.446421\pi\) | |||||||
\(152\) | −96667.6 | + | 121217.i | −0.339369 | + | 0.425555i | ||||
\(153\) | 22845.3 | + | 100092.i | 0.0788985 | + | 0.345677i | ||||
\(154\) | 4673.94 | + | 20477.9i | 0.0158811 | + | 0.0695798i | ||||
\(155\) | −35638.8 | − | 44689.7i | −0.119150 | − | 0.149409i | ||||
\(156\) | −94169.2 | + | 412582.i | −0.309811 | + | 1.35737i | ||||
\(157\) | 389317. | 1.26053 | 0.630267 | − | 0.776378i | \(-0.282945\pi\) | ||||
0.630267 | + | 0.776378i | \(0.282945\pi\) | |||||||
\(158\) | 167760. | − | 735006.i | 0.534622 | − | 2.34233i | ||||
\(159\) | 29714.1 | − | 14309.6i | 0.0932116 | − | 0.0448883i | ||||
\(160\) | 68578.9 | − | 33025.9i | 0.211783 | − | 0.101989i | ||||
\(161\) | 462.469 | − | 2026.21i | 0.00140610 | − | 0.00616055i | ||||
\(162\) | 130298. | 0.390078 | ||||||||
\(163\) | 26837.6 | − | 117583.i | 0.0791178 | − | 0.346638i | −0.919839 | − | 0.392295i | \(-0.871681\pi\) |
0.998957 | + | 0.0456576i | \(0.0145383\pi\) | |||||||
\(164\) | −24168.6 | − | 30306.5i | −0.0701685 | − | 0.0879885i | ||||
\(165\) | 14078.2 | + | 61680.7i | 0.0402567 | + | 0.176376i | ||||
\(166\) | −102200. | − | 447769.i | −0.287861 | − | 1.26120i | ||||
\(167\) | 266473. | − | 334147.i | 0.739371 | − | 0.927141i | −0.259888 | − | 0.965639i | \(-0.583686\pi\) |
0.999259 | + | 0.0384973i | \(0.0122571\pi\) | |||||||
\(168\) | 13692.6 | − | 6594.01i | 0.0374294 | − | 0.0180250i | ||||
\(169\) | −109603. | − | 52781.8i | −0.295192 | − | 0.142157i | ||||
\(170\) | 80345.4 | + | 100750.i | 0.213225 | + | 0.267376i | ||||
\(171\) | −55336.2 | + | 69389.3i | −0.144717 | + | 0.181469i | ||||
\(172\) | −1.10481e6 | − | 532048.i | −2.84752 | − | 1.37129i | ||||
\(173\) | 219794. | 0.558342 | 0.279171 | − | 0.960241i | \(-0.409940\pi\) | ||||
0.279171 | + | 0.960241i | \(0.409940\pi\) | |||||||
\(174\) | 70344.0 | − | 457255.i | 0.176138 | − | 1.14495i | ||||
\(175\) | 18395.6 | 0.0454065 | ||||||||
\(176\) | 77086.0 | + | 37122.7i | 0.187583 | + | 0.0903353i | ||||
\(177\) | −1990.07 | + | 2495.47i | −0.00477458 | + | 0.00598714i | ||||
\(178\) | −466348. | − | 584781.i | −1.10321 | − | 1.38339i | ||||
\(179\) | −540182. | − | 260138.i | −1.26011 | − | 0.606836i | −0.319904 | − | 0.947450i | \(-0.603651\pi\) |
−0.940203 | + | 0.340614i | \(0.889365\pi\) | |||||||
\(180\) | −101175. | + | 48723.4i | −0.232752 | + | 0.112087i | ||||
\(181\) | 73593.2 | − | 92283.0i | 0.166971 | − | 0.209375i | −0.691305 | − | 0.722563i | \(-0.742964\pi\) |
0.858276 | + | 0.513188i | \(0.171535\pi\) | |||||||
\(182\) | 9406.80 | + | 41213.9i | 0.0210505 | + | 0.0922284i | ||||
\(183\) | 28558.4 | + | 125123.i | 0.0630386 | + | 0.276190i | ||||
\(184\) | −43193.3 | − | 54162.7i | −0.0940529 | − | 0.117939i | ||||
\(185\) | −41630.2 | + | 182394.i | −0.0894292 | + | 0.391815i | ||||
\(186\) | 352489. | 0.747074 | ||||||||
\(187\) | 64722.7 | − | 283569.i | 0.135348 | − | 0.592999i | ||||
\(188\) | 918060. | − | 442115.i | 1.89442 | − | 0.912305i | ||||
\(189\) | 23306.3 | − | 11223.7i | 0.0474591 | − | 0.0228551i | ||||
\(190\) | −24788.8 | + | 108607.i | −0.0498163 | + | 0.218260i | ||||
\(191\) | −199938. | −0.396563 | −0.198281 | − | 0.980145i | \(-0.563536\pi\) | ||||
−0.198281 | + | 0.980145i | \(0.563536\pi\) | |||||||
\(192\) | −123569. | + | 541391.i | −0.241912 | + | 1.05988i | ||||
\(193\) | 576881. | + | 723385.i | 1.11479 | + | 1.39790i | 0.907721 | + | 0.419575i | \(0.137821\pi\) |
0.207068 | + | 0.978327i | \(0.433608\pi\) | |||||||
\(194\) | 328474. | + | 1.43914e6i | 0.626609 | + | 2.74535i | ||||
\(195\) | 28333.9 | + | 124139.i | 0.0533604 | + | 0.233787i | ||||
\(196\) | −575487. | + | 721638.i | −1.07003 | + | 1.34177i | ||||
\(197\) | −293299. | + | 141245.i | −0.538450 | + | 0.259304i | −0.683285 | − | 0.730152i | \(-0.739449\pi\) |
0.144835 | + | 0.989456i | \(0.453735\pi\) | |||||||
\(198\) | 361099. | + | 173896.i | 0.654581 | + | 0.315230i | ||||
\(199\) | 74990.1 | + | 94034.6i | 0.134237 | + | 0.168327i | 0.844407 | − | 0.535703i | \(-0.179953\pi\) |
−0.710170 | + | 0.704030i | \(0.751382\pi\) | |||||||
\(200\) | 382313. | − | 479405.i | 0.675840 | − | 0.847476i | ||||
\(201\) | 202182. | + | 97365.7i | 0.352982 | + | 0.169987i | ||||
\(202\) | 281278. | 0.485017 | ||||||||
\(203\) | −8529.53 | − | 27953.8i | −0.0145273 | − | 0.0476103i | ||||
\(204\) | −502557. | −0.845493 | ||||||||
\(205\) | −10508.2 | − | 5060.49i | −0.0174640 | − | 0.00841023i | ||||
\(206\) | −563964. | + | 707189.i | −0.925941 | + | 1.16109i | ||||
\(207\) | −24725.5 | − | 31004.8i | −0.0401069 | − | 0.0502924i | ||||
\(208\) | 155143. | + | 74713.2i | 0.248642 | + | 0.119740i | ||||
\(209\) | 226542. | − | 109097.i | 0.358743 | − | 0.172761i | ||||
\(210\) | 6808.30 | − | 8537.34i | 0.0106535 | − | 0.0133590i | ||||
\(211\) | 46361.8 | + | 203124.i | 0.0716893 | + | 0.314091i | 0.998041 | − | 0.0625692i | \(-0.0199294\pi\) |
−0.926351 | + | 0.376661i | \(0.877072\pi\) | |||||||
\(212\) | −36903.8 | − | 161686.i | −0.0563937 | − | 0.247077i | ||||
\(213\) | −303363. | − | 380405.i | −0.458157 | − | 0.574510i | ||||
\(214\) | −91832.4 | + | 402344.i | −0.137076 | + | 0.600569i | ||||
\(215\) | −368956. | −0.544350 | ||||||||
\(216\) | 191872. | − | 840645.i | 0.279819 | − | 1.22597i | ||||
\(217\) | 20062.7 | − | 9661.71i | 0.0289228 | − | 0.0139285i | ||||
\(218\) | 1.14024e6 | − | 549112.i | 1.62501 | − | 0.782564i | ||||
\(219\) | −197665. | + | 866026.i | −0.278496 | + | 1.22017i | ||||
\(220\) | 318144. | 0.443167 | ||||||||
\(221\) | 130261. | − | 570711.i | 0.179405 | − | 0.786024i | ||||
\(222\) | −719315. | − | 901993.i | −0.979573 | − | 1.22835i | ||||
\(223\) | −85036.0 | − | 372567.i | −0.114509 | − | 0.501698i | −0.999358 | − | 0.0358201i | \(-0.988596\pi\) |
0.884849 | − | 0.465878i | \(-0.154261\pi\) | |||||||
\(224\) | 6598.39 | + | 28909.4i | 0.00878654 | + | 0.0384964i | ||||
\(225\) | 218850. | − | 274429.i | 0.288198 | − | 0.361389i | ||||
\(226\) | −1.56479e6 | + | 753565.i | −2.03791 | + | 0.981408i | ||||
\(227\) | 313749. | + | 151094.i | 0.404127 | + | 0.194617i | 0.624895 | − | 0.780709i | \(-0.285142\pi\) |
−0.220768 | + | 0.975326i | \(0.570856\pi\) | |||||||
\(228\) | −270874. | − | 339666.i | −0.345089 | − | 0.432728i | ||||
\(229\) | −102801. | + | 128908.i | −0.129541 | + | 0.162439i | −0.842372 | − | 0.538897i | \(-0.818841\pi\) |
0.712831 | + | 0.701336i | \(0.247413\pi\) | |||||||
\(230\) | −44846.7 | − | 21597.0i | −0.0558999 | − | 0.0269200i | ||||
\(231\) | −24647.0 | −0.0303902 | ||||||||
\(232\) | −905769. | − | 358673.i | −1.10484 | − | 0.437501i | ||||
\(233\) | −504827. | −0.609190 | −0.304595 | − | 0.952482i | \(-0.598521\pi\) | ||||
−0.304595 | + | 0.952482i | \(0.598521\pi\) | |||||||
\(234\) | 726749. | + | 349984.i | 0.867651 | + | 0.417839i | ||||
\(235\) | 191156. | − | 239702.i | 0.225797 | − | 0.283140i | ||||
\(236\) | 10007.3 | + | 12548.7i | 0.0116959 | + | 0.0146663i | ||||
\(237\) | 797038. | + | 383833.i | 0.921740 | + | 0.443886i | ||||
\(238\) | −45230.1 | + | 21781.7i | −0.0517590 | + | 0.0249258i | ||||
\(239\) | −42185.0 | + | 52898.4i | −0.0477709 | + | 0.0599029i | −0.805143 | − | 0.593081i | \(-0.797912\pi\) |
0.757372 | + | 0.652984i | \(0.226483\pi\) | |||||||
\(240\) | −9897.68 | − | 43364.6i | −0.0110919 | − | 0.0485967i | ||||
\(241\) | 166661. | + | 730191.i | 0.184838 | + | 0.809830i | 0.979283 | + | 0.202494i | \(0.0649047\pi\) |
−0.794445 | + | 0.607336i | \(0.792238\pi\) | |||||||
\(242\) | 228935. | + | 287076.i | 0.251290 | + | 0.315107i | ||||
\(243\) | 182731. | − | 800596.i | 0.198516 | − | 0.869756i | ||||
\(244\) | 645372. | 0.693962 | ||||||||
\(245\) | −61797.9 | + | 270754.i | −0.0657747 | + | 0.288178i | ||||
\(246\) | 64800.9 | − | 31206.5i | 0.0682721 | − | 0.0328781i | ||||
\(247\) | 455939. | − | 219569.i | 0.475515 | − | 0.228996i | ||||
\(248\) | 165169. | − | 723651.i | 0.170529 | − | 0.747136i | ||||
\(249\) | 538930. | 0.550851 | ||||||||
\(250\) | 205513. | − | 900410.i | 0.207964 | − | 0.911151i | ||||
\(251\) | −1.11027e6 | − | 1.39223e6i | −1.11235 | − | 1.39485i | −0.909533 | − | 0.415632i | \(-0.863560\pi\) |
−0.202822 | − | 0.979216i | \(-0.565011\pi\) | |||||||
\(252\) | −9734.69 | − | 42650.4i | −0.00965652 | − | 0.0423080i | ||||
\(253\) | 25000.3 | + | 109534.i | 0.0245552 | + | 0.107584i | ||||
\(254\) | −1.94008e6 | + | 2.43279e6i | −1.88685 | + | 2.36603i | ||||
\(255\) | −136236. | + | 65607.8i | −0.131202 | + | 0.0631837i | ||||
\(256\) | 1.27983e6 | + | 616336.i | 1.22054 | + | 0.587783i | ||||
\(257\) | −976768. | − | 1.22483e6i | −0.922484 | − | 1.15676i | −0.987301 | − | 0.158861i | \(-0.949218\pi\) |
0.0648173 | − | 0.997897i | \(-0.479354\pi\) | |||||||
\(258\) | 1.41859e6 | − | 1.77885e6i | 1.32680 | − | 1.66376i | ||||
\(259\) | −65665.0 | − | 31622.6i | −0.0608254 | − | 0.0292920i | ||||
\(260\) | 640298. | 0.587420 | ||||||||
\(261\) | −518496. | − | 205318.i | −0.471134 | − | 0.186563i | ||||
\(262\) | −2.40598e6 | −2.16540 | ||||||||
\(263\) | 1.63452e6 | + | 787145.i | 1.45714 | + | 0.701722i | 0.983819 | − | 0.179167i | \(-0.0573401\pi\) |
0.473323 | + | 0.880889i | \(0.343054\pi\) | |||||||
\(264\) | −512234. | + | 642322.i | −0.452334 | + | 0.567209i | ||||
\(265\) | −31111.9 | − | 39013.0i | −0.0272152 | − | 0.0341268i | ||||
\(266\) | −39100.4 | − | 18829.8i | −0.0338826 | − | 0.0163170i | ||||
\(267\) | 790753. | − | 380807.i | 0.678833 | − | 0.326909i | ||||
\(268\) | 703572. | − | 882252.i | 0.598373 | − | 0.750336i | ||||
\(269\) | 318710. | + | 1.39636e6i | 0.268543 | + | 1.17657i | 0.911708 | + | 0.410838i | \(0.134764\pi\) |
−0.643165 | + | 0.765728i | \(0.722379\pi\) | |||||||
\(270\) | −137862. | − | 604013.i | −0.115089 | − | 0.504239i | ||||
\(271\) | 1.00099e6 | + | 1.25520e6i | 0.827957 | + | 1.03822i | 0.998600 | + | 0.0528919i | \(0.0168439\pi\) |
−0.170644 | + | 0.985333i | \(0.554585\pi\) | |||||||
\(272\) | −45503.2 | + | 199363.i | −0.0372923 | + | 0.163388i | ||||
\(273\) | −49604.6 | −0.0402824 | ||||||||
\(274\) | −385478. | + | 1.68889e6i | −0.310187 | + | 1.35902i | ||||
\(275\) | −895956. | + | 431469.i | −0.714422 | + | 0.344047i | ||||
\(276\) | 174898. | − | 84226.3i | 0.138201 | − | 0.0665541i | ||||
\(277\) | 506689. | − | 2.21995e6i | 0.396773 | − | 1.73837i | −0.243200 | − | 0.969976i | \(-0.578197\pi\) |
0.639972 | − | 0.768398i | \(-0.278946\pi\) | |||||||
\(278\) | 876612. | 0.680292 | ||||||||
\(279\) | 94548.7 | − | 414245.i | 0.0727185 | − | 0.318601i | ||||
\(280\) | −14336.7 | − | 17977.7i | −0.0109283 | − | 0.0137037i | ||||
\(281\) | −175886. | − | 770606.i | −0.132882 | − | 0.582193i | −0.996896 | − | 0.0787259i | \(-0.974915\pi\) |
0.864015 | − | 0.503467i | \(-0.167942\pi\) | |||||||
\(282\) | 420709. | + | 1.84324e6i | 0.315035 | + | 1.38026i | ||||
\(283\) | 711677. | − | 892415.i | 0.528223 | − | 0.662370i | −0.444110 | − | 0.895972i | \(-0.646480\pi\) |
0.972332 | + | 0.233602i | \(0.0750514\pi\) | |||||||
\(284\) | −2.20440e6 | + | 1.06158e6i | −1.62179 | + | 0.781012i | ||||
\(285\) | −117773. | − | 56716.4i | −0.0858881 | − | 0.0413615i | ||||
\(286\) | −1.42483e6 | − | 1.78668e6i | −1.03003 | − | 1.29161i | ||||
\(287\) | 2832.93 | − | 3552.38i | 0.00203016 | − | 0.00254574i | ||||
\(288\) | 509778. | + | 245496.i | 0.362159 | + | 0.174407i | ||||
\(289\) | −724687. | −0.510394 | ||||||||
\(290\) | −698171. | + | 50184.4i | −0.487491 | + | 0.0350408i | ||||
\(291\) | −1.73213e6 | −1.19908 | ||||||||
\(292\) | 4.02453e6 | + | 1.93811e6i | 2.76222 | + | 1.33021i | ||||
\(293\) | 752917. | − | 944128.i | 0.512363 | − | 0.642483i | −0.456605 | − | 0.889670i | \(-0.650935\pi\) |
0.968968 | + | 0.247187i | \(0.0795061\pi\) | |||||||
\(294\) | −1.06779e6 | − | 1.33896e6i | −0.720470 | − | 0.903441i | ||||
\(295\) | 4351.04 | + | 2095.35i | 0.00291097 | + | 0.00140185i | ||||
\(296\) | −2.18882e6 | + | 1.05408e6i | −1.45205 | + | 0.699269i | ||||
\(297\) | −871881. | + | 1.09330e6i | −0.573543 | + | 0.719200i | ||||
\(298\) | −434710. | − | 1.90459e6i | −0.283569 | − | 1.24240i | ||||
\(299\) | 50315.7 | + | 220448.i | 0.0325481 | + | 0.142603i | ||||
\(300\) | 1.07129e6 | + | 1.34335e6i | 0.687231 | + | 0.861760i | ||||
\(301\) | 31984.0 | − | 140131.i | 0.0203477 | − | 0.0891492i | ||||
\(302\) | −1.44729e6 | −0.913141 | ||||||||
\(303\) | −73444.1 | + | 321780.i | −0.0459569 | + | 0.201350i | ||||
\(304\) | −159270. | + | 76700.4i | −0.0988440 | + | 0.0476007i | ||||
\(305\) | 174951. | − | 84252.1i | 0.107688 | − | 0.0518598i | ||||
\(306\) | −213154. | + | 933888.i | −0.130134 | + | 0.570153i | ||||
\(307\) | 2.17451e6 | 1.31679 | 0.658394 | − | 0.752674i | \(-0.271236\pi\) | ||||
0.658394 | + | 0.752674i | \(0.271236\pi\) | |||||||
\(308\) | −27579.2 | + | 120832.i | −0.0165655 | + | 0.0725782i | ||||
\(309\) | −661763. | − | 829824.i | −0.394281 | − | 0.494413i | ||||
\(310\) | −118675. | − | 519951.i | −0.0701385 | − | 0.307297i | ||||
\(311\) | 638269. | + | 2.79644e6i | 0.374199 | + | 1.63947i | 0.714847 | + | 0.699281i | \(0.246497\pi\) |
−0.340648 | + | 0.940191i | \(0.610646\pi\) | |||||||
\(312\) | −1.03092e6 | + | 1.29274e6i | −0.599571 | + | 0.751838i | ||||
\(313\) | −1.24882e6 | + | 601399.i | −0.720508 | + | 0.346978i | −0.757943 | − | 0.652321i | \(-0.773795\pi\) |
0.0374353 | + | 0.999299i | \(0.488081\pi\) | |||||||
\(314\) | 3.27272e6 | + | 1.57606e6i | 1.87320 | + | 0.902088i | ||||
\(315\) | −8206.87 | − | 10291.1i | −0.00466016 | − | 0.00584366i | ||||
\(316\) | 2.77361e6 | − | 3.47800e6i | 1.56253 | − | 1.95935i | ||||
\(317\) | −946069. | − | 455603.i | −0.528780 | − | 0.254647i | 0.150392 | − | 0.988626i | \(-0.451946\pi\) |
−0.679171 | + | 0.733980i | \(0.737661\pi\) | |||||||
\(318\) | 307715. | 0.170640 | ||||||||
\(319\) | 1.07109e6 | + | 1.16143e6i | 0.589317 | + | 0.639022i | ||||
\(320\) | 840200. | 0.458678 | ||||||||
\(321\) | −436300. | − | 210111.i | −0.236332 | − | 0.113812i | ||||
\(322\) | 12090.3 | − | 15160.7i | 0.00649826 | − | 0.00814855i | ||||
\(323\) | 374691. | + | 469848.i | 0.199833 | + | 0.250583i | ||||
\(324\) | 692701. | + | 333587.i | 0.366592 | + | 0.176542i | ||||
\(325\) | −1.80320e6 | + | 868377.i | −0.946970 | + | 0.456037i | ||||
\(326\) | 701612. | − | 879794.i | 0.365640 | − | 0.458498i | ||||
\(327\) | 330453. | + | 1.44781e6i | 0.170899 | + | 0.748758i | ||||
\(328\) | −33701.8 | − | 147657.i | −0.0172969 | − | 0.0757826i | ||||
\(329\) | 74468.8 | + | 93380.9i | 0.0379302 | + | 0.0475629i | ||||
\(330\) | −131354. | + | 575500.i | −0.0663986 | + | 0.290911i | ||||
\(331\) | −725050. | −0.363746 | −0.181873 | − | 0.983322i | \(-0.558216\pi\) | ||||
−0.181873 | + | 0.983322i | \(0.558216\pi\) | |||||||
\(332\) | 603046. | − | 2.64212e6i | 0.300265 | − | 1.31555i | ||||
\(333\) | −1.25296e6 | + | 603395.i | −0.619195 | + | 0.298189i | ||||
\(334\) | 3.59277e6 | − | 1.73019e6i | 1.76223 | − | 0.848647i | ||||
\(335\) | 75552.2 | − | 331016.i | 0.0367820 | − | 0.161152i | ||||
\(336\) | 17328.0 | 0.00837338 | ||||||||
\(337\) | −476908. | + | 2.08947e6i | −0.228749 | + | 1.00222i | 0.721912 | + | 0.691985i | \(0.243264\pi\) |
−0.950661 | + | 0.310231i | \(0.899594\pi\) | |||||||
\(338\) | −707679. | − | 887401.i | −0.336934 | − | 0.422502i | ||||
\(339\) | −453491. | − | 1.98687e6i | −0.214323 | − | 0.939012i | ||||
\(340\) | 169200. | + | 741313.i | 0.0793785 | + | 0.347780i | ||||
\(341\) | −750539. | + | 941146.i | −0.349532 | + | 0.438300i | ||||
\(342\) | −746080. | + | 359293.i | −0.344921 | + | 0.166105i | ||||
\(343\) | −195195. | − | 94000.9i | −0.0895846 | − | 0.0431416i | ||||
\(344\) | −2.98722e6 | − | 3.74585e6i | −1.36104 | − | 1.70669i | ||||
\(345\) | 36416.7 | − | 45665.1i | 0.0164723 | − | 0.0206555i | ||||
\(346\) | 1.84766e6 | + | 889785.i | 0.829719 | + | 0.399572i | ||||
\(347\) | 1.33133e6 | 0.593558 | 0.296779 | − | 0.954946i | \(-0.404088\pi\) | ||||
0.296779 | + | 0.954946i | \(0.404088\pi\) | |||||||
\(348\) | 1.54462e6 | − | 2.25080e6i | 0.683714 | − | 0.996296i | ||||
\(349\) | −3.21152e6 | −1.41139 | −0.705694 | − | 0.708516i | \(-0.749365\pi\) | ||||
−0.705694 | + | 0.708516i | \(0.749365\pi\) | |||||||
\(350\) | 154639. | + | 74470.2i | 0.0674759 | + | 0.0324947i | ||||
\(351\) | −1.75475e6 | + | 2.20039e6i | −0.760234 | + | 0.953303i | ||||
\(352\) | −999447. | − | 1.25327e6i | −0.429935 | − | 0.539122i | ||||
\(353\) | −2.11990e6 | − | 1.02089e6i | −0.905478 | − | 0.436055i | −0.0776134 | − | 0.996984i | \(-0.524730\pi\) |
−0.827864 | + | 0.560928i | \(0.810444\pi\) | |||||||
\(354\) | −26831.5 | + | 12921.4i | −0.0113798 | + | 0.00548025i | ||||
\(355\) | −458994. | + | 575560.i | −0.193302 | + | 0.242393i | ||||
\(356\) | −982084. | − | 4.30279e6i | −0.410699 | − | 1.79939i | ||||
\(357\) | −13108.1 | − | 57430.3i | −0.00544339 | − | 0.0238490i | ||||
\(358\) | −3.48783e6 | − | 4.37360e6i | −1.43829 | − | 1.80356i | ||||
\(359\) | 547091. | − | 2.39696e6i | 0.224039 | − | 0.981579i | −0.730364 | − | 0.683058i | \(-0.760650\pi\) |
0.954403 | − | 0.298521i | \(-0.0964933\pi\) | |||||||
\(360\) | −438757. | −0.178430 | ||||||||
\(361\) | 435381. | − | 1.90753e6i | 0.175833 | − | 0.770377i | ||||
\(362\) | 992234. | − | 477834.i | 0.397963 | − | 0.191649i | ||||
\(363\) | −388190. | + | 186942.i | −0.154624 | + | 0.0744631i | ||||
\(364\) | −55505.9 | + | 243187.i | −0.0219576 | + | 0.0962027i | ||||
\(365\) | 1.34401e6 | 0.528044 | ||||||||
\(366\) | −266459. | + | 1.16743e6i | −0.103975 | + | 0.455543i | ||||
\(367\) | 226413. | + | 283913.i | 0.0877478 | + | 0.110032i | 0.823767 | − | 0.566928i | \(-0.191868\pi\) |
−0.736019 | + | 0.676960i | \(0.763297\pi\) | |||||||
\(368\) | −17576.4 | − | 77007.4i | −0.00676568 | − | 0.0296424i | ||||
\(369\) | −19292.2 | − | 84524.5i | −0.00737590 | − | 0.0323159i | ||||
\(370\) | −1.08834e6 | + | 1.36473e6i | −0.413294 | + | 0.518254i | ||||
\(371\) | 17514.3 | − | 8434.45i | 0.00660630 | − | 0.00318143i | ||||
\(372\) | 1.87393e6 | + | 902437.i | 0.702095 | + | 0.338111i | ||||
\(373\) | 2.91114e6 | + | 3.65045e6i | 1.08341 | + | 1.35855i | 0.928804 | + | 0.370571i | \(0.120838\pi\) |
0.154601 | + | 0.987977i | \(0.450591\pi\) | |||||||
\(374\) | 1.69204e6 | − | 2.12175e6i | 0.625506 | − | 0.784360i | ||||
\(375\) | 976401. | + | 470210.i | 0.358550 | + | 0.172669i | ||||
\(376\) | 3.98126e6 | 1.45228 | ||||||||
\(377\) | 2.15568e6 | + | 2.33749e6i | 0.781142 | + | 0.847027i | ||||
\(378\) | 241357. | 0.0868822 | ||||||||
\(379\) | 3.44935e6 | + | 1.66112e6i | 1.23350 | + | 0.594022i | 0.933040 | − | 0.359773i | \(-0.117146\pi\) |
0.300459 | + | 0.953795i | \(0.402860\pi\) | |||||||
\(380\) | −409838. | + | 513920.i | −0.145597 | + | 0.182573i | ||||
\(381\) | −2.27652e6 | − | 2.85467e6i | −0.803450 | − | 1.00749i | ||||
\(382\) | −1.68074e6 | − | 809402.i | −0.589308 | − | 0.283796i | ||||
\(383\) | 2.67789e6 | − | 1.28960e6i | 0.932816 | − | 0.449220i | 0.0951863 | − | 0.995459i | \(-0.469655\pi\) |
0.837629 | + | 0.546239i | \(0.183941\pi\) | |||||||
\(384\) | −2.22673e6 | + | 2.79223e6i | −0.770618 | + | 0.966325i | ||||
\(385\) | 8298.09 | + | 36356.3i | 0.00285316 | + | 0.0125005i | ||||
\(386\) | 1.92098e6 | + | 8.41637e6i | 0.656228 | + | 2.87512i | ||||
\(387\) | −1.70999e6 | − | 2.14427e6i | −0.580386 | − | 0.727782i | ||||
\(388\) | −1.93820e6 | + | 8.49181e6i | −0.653611 | + | 2.86366i | ||||
\(389\) | 313465. | 0.105030 | 0.0525152 | − | 0.998620i | \(-0.483276\pi\) | ||||
0.0525152 | + | 0.998620i | \(0.483276\pi\) | |||||||
\(390\) | −264364. | + | 1.15825e6i | −0.0880117 | + | 0.385604i | ||||
\(391\) | −241930. | + | 116507.i | −0.0800291 | + | 0.0385400i | ||||
\(392\) | −3.24919e6 | + | 1.56473e6i | −1.06797 | + | 0.514309i | ||||
\(393\) | 628222. | − | 2.75242e6i | 0.205179 | − | 0.898946i | ||||
\(394\) | −3.03736e6 | −0.985726 | ||||||||
\(395\) | 297841. | − | 1.30493e6i | 0.0960487 | − | 0.420817i | ||||
\(396\) | 1.47450e6 | + | 1.84896e6i | 0.472504 | + | 0.592502i | ||||
\(397\) | 400262. | + | 1.75366e6i | 0.127458 | + | 0.558431i | 0.997819 | + | 0.0660158i | \(0.0210288\pi\) |
−0.870360 | + | 0.492415i | \(0.836114\pi\) | |||||||
\(398\) | 249713. | + | 1.09406e6i | 0.0790193 | + | 0.346206i | ||||
\(399\) | 31750.6 | − | 39813.9i | 0.00998434 | − | 0.0125200i | ||||
\(400\) | 629900. | − | 303344.i | 0.196844 | − | 0.0947950i | ||||
\(401\) | −1.93068e6 | − | 929767.i | −0.599584 | − | 0.288744i | 0.109368 | − | 0.994001i | \(-0.465117\pi\) |
−0.708952 | + | 0.705257i | \(0.750832\pi\) | |||||||
\(402\) | 1.30544e6 | + | 1.63697e6i | 0.402896 | + | 0.505215i | ||||
\(403\) | −1.51054e6 | + | 1.89415e6i | −0.463307 | + | 0.580968i | ||||
\(404\) | 1.49535e6 | + | 720122.i | 0.455816 | + | 0.219509i | ||||
\(405\) | 231331. | 0.0700802 | ||||||||
\(406\) | 41462.7 | − | 269518.i | 0.0124837 | − | 0.0811471i | ||||
\(407\) | 3.93992e6 | 1.17897 | ||||||||
\(408\) | −1.76911e6 | − | 851958.i | −0.526144 | − | 0.253377i | ||||
\(409\) | 1.44667e6 | − | 1.81406e6i | 0.427622 | − | 0.536221i | −0.520612 | − | 0.853793i | \(-0.674296\pi\) |
0.948234 | + | 0.317573i | \(0.102868\pi\) | |||||||
\(410\) | −67849.2 | − | 85080.2i | −0.0199336 | − | 0.0249959i | ||||
\(411\) | −1.83143e6 | − | 881968.i | −0.534792 | − | 0.257542i | ||||
\(412\) | −4.80872e6 | + | 2.31576e6i | −1.39568 | + | 0.672125i | ||||
\(413\) | −1173.00 | + | 1470.90i | −0.000338395 | + | 0.000424334i | ||||
\(414\) | −82334.5 | − | 360731.i | −0.0236092 | − | 0.103439i | ||||
\(415\) | −181446. | − | 794966.i | −0.0517162 | − | 0.226584i | ||||
\(416\) | −2.01149e6 | − | 2.52233e6i | −0.569882 | − | 0.714609i | ||||
\(417\) | −228891. | + | 1.00284e6i | −0.0644598 | + | 0.282417i | ||||
\(418\) | 2.34604e6 | 0.656741 | ||||||||
\(419\) | 841838. | − | 3.68833e6i | 0.234257 | − | 1.02635i | −0.711808 | − | 0.702374i | \(-0.752123\pi\) |
0.946066 | − | 0.323975i | \(-0.105019\pi\) | |||||||
\(420\) | 58052.0 | − | 27956.3i | 0.0160581 | − | 0.00773316i | ||||
\(421\) | 1.69168e6 | − | 814672.i | 0.465173 | − | 0.224015i | −0.186591 | − | 0.982438i | \(-0.559744\pi\) |
0.651763 | + | 0.758422i | \(0.274030\pi\) | |||||||
\(422\) | −432570. | + | 1.89521e6i | −0.118243 | + | 0.518056i | ||||
\(423\) | 2.27902e6 | 0.619296 | ||||||||
\(424\) | 144188. | − | 631730.i | 0.0389507 | − | 0.170654i | ||||
\(425\) | −1.48187e6 | − | 1.85821e6i | −0.397960 | − | 0.499026i | ||||
\(426\) | −1.01018e6 | − | 4.42590e6i | −0.269697 | − | 1.18162i | ||||
\(427\) | 16833.1 | + | 73750.7i | 0.00446781 | + | 0.0195748i | ||||
\(428\) | −1.51828e6 | + | 1.90386e6i | −0.400629 | + | 0.502373i | ||||
\(429\) | 2.41599e6 | − | 1.16348e6i | 0.633799 | − | 0.305221i | ||||
\(430\) | −3.10156e6 | − | 1.49363e6i | −0.808927 | − | 0.389559i | ||||
\(431\) | 2.30452e6 | + | 2.88978e6i | 0.597568 | + | 0.749327i | 0.984997 | − | 0.172573i | \(-0.0552081\pi\) |
−0.387429 | + | 0.921900i | \(0.626637\pi\) | |||||||
\(432\) | 612975. | − | 768646.i | 0.158028 | − | 0.198160i | ||||
\(433\) | −3.07421e6 | − | 1.48046e6i | −0.787977 | − | 0.379469i | −0.00378854 | − | 0.999993i | \(-0.501206\pi\) |
−0.784188 | + | 0.620523i | \(0.786920\pi\) | |||||||
\(434\) | 207767. | 0.0529483 | ||||||||
\(435\) | 124888. | − | 811807.i | 0.0316445 | − | 0.205698i | ||||
\(436\) | 7.46767e6 | 1.88135 | ||||||||
\(437\) | −209143. | − | 100718.i | −0.0523889 | − | 0.0252292i | ||||
\(438\) | −5.16754e6 | + | 6.47989e6i | −1.28706 | + | 1.61392i | ||||
\(439\) | −1.64042e6 | − | 2.05702e6i | −0.406250 | − | 0.509421i | 0.536052 | − | 0.844185i | \(-0.319915\pi\) |
−0.942302 | + | 0.334764i | \(0.891344\pi\) | |||||||
\(440\) | 1.11994e6 | + | 539332.i | 0.275779 | + | 0.132808i | ||||
\(441\) | −1.85996e6 | + | 895709.i | −0.455415 | + | 0.219316i | ||||
\(442\) | 3.40541e6 | − | 4.27024e6i | 0.829112 | − | 1.03967i | ||||
\(443\) | −413195. | − | 1.81033e6i | −0.100034 | − | 0.438276i | −0.999997 | − | 0.00231105i | \(-0.999264\pi\) |
0.899964 | − | 0.435965i | \(-0.143593\pi\) | |||||||
\(444\) | −1.51481e6 | − | 6.63682e6i | −0.364671 | − | 1.59773i | ||||
\(445\) | −827950. | − | 1.03822e6i | −0.198200 | − | 0.248535i | ||||
\(446\) | 793412. | − | 3.47617e6i | 0.188869 | − | 0.827491i | ||||
\(447\) | 2.29234e6 | 0.542638 | ||||||||
\(448\) | −72835.0 | + | 319111.i | −0.0171453 | + | 0.0751185i | ||||
\(449\) | 3.16345e6 | − | 1.52344e6i | 0.740534 | − | 0.356622i | −0.0252836 | − | 0.999680i | \(-0.508049\pi\) |
0.765817 | + | 0.643058i | \(0.222335\pi\) | |||||||
\(450\) | 2.95069e6 | − | 1.42098e6i | 0.686897 | − | 0.330792i | ||||
\(451\) | −54656.3 | + | 239465.i | −0.0126531 | + | 0.0554371i | ||||
\(452\) | −1.02481e7 | −2.35938 | ||||||||
\(453\) | 377900. | − | 1.65569e6i | 0.0865230 | − | 0.379082i | ||||
\(454\) | 2.02581e6 | + | 2.54028e6i | 0.461273 | + | 0.578418i | ||||
\(455\) | 16700.8 | + | 73170.8i | 0.00378188 | + | 0.0165695i | ||||
\(456\) | −377719. | − | 1.65490e6i | −0.0850662 | − | 0.372699i | ||||
\(457\) | 4.30328e6 | − | 5.39614e6i | 0.963848 | − | 1.20863i | −0.0141254 | − | 0.999900i | \(-0.504496\pi\) |
0.977974 | − | 0.208727i | \(-0.0669322\pi\) | |||||||
\(458\) | −1.38603e6 | + | 667476.i | −0.308751 | + | 0.148687i | ||||
\(459\) | −3.01122e6 | − | 1.45013e6i | −0.667131 | − | 0.321273i | ||||
\(460\) | −183125. | − | 229631.i | −0.0403509 | − | 0.0505984i | ||||
\(461\) | −5.39552e6 | + | 6.76577e6i | −1.18245 | + | 1.48274i | −0.342966 | + | 0.939348i | \(0.611432\pi\) |
−0.839479 | + | 0.543392i | \(0.817140\pi\) | |||||||
\(462\) | −207190. | − | 99777.5i | −0.0451611 | − | 0.0217484i | ||||
\(463\) | −1.20821e6 | −0.261933 | −0.130966 | − | 0.991387i | \(-0.541808\pi\) | ||||
−0.130966 | + | 0.991387i | \(0.541808\pi\) | |||||||
\(464\) | −753028. | − | 816541.i | −0.162374 | − | 0.176069i | ||||
\(465\) | 625807. | 0.134217 | ||||||||
\(466\) | −4.24374e6 | − | 2.04368e6i | −0.905282 | − | 0.435961i | ||||
\(467\) | 3.14147e6 | − | 3.93928e6i | 0.666562 | − | 0.835842i | −0.327478 | − | 0.944859i | \(-0.606199\pi\) |
0.994040 | + | 0.109016i | \(0.0347701\pi\) | |||||||
\(468\) | 2.96758e6 | + | 3.72122e6i | 0.626307 | + | 0.785364i | ||||
\(469\) | 119172. | + | 57390.0i | 0.0250173 | + | 0.0120477i | ||||
\(470\) | 2.57729e6 | − | 1.24116e6i | 0.538170 | − | 0.259169i | ||||
\(471\) | −2.65754e6 | + | 3.33245e6i | −0.551985 | + | 0.692167i | ||||
\(472\) | 13954.6 | + | 61138.9i | 0.00288311 | + | 0.0126317i | ||||
\(473\) | 1.72900e6 | + | 7.57525e6i | 0.355339 | + | 1.55684i | ||||
\(474\) | 5.14629e6 | + | 6.45325e6i | 1.05208 | + | 1.31927i | ||||
\(475\) | 457200. | − | 2.00312e6i | 0.0929763 | − | 0.407356i | ||||
\(476\) | −296221. | −0.0599237 | ||||||||
\(477\) | 82538.8 | − | 361626.i | 0.0166097 | − | 0.0727719i | ||||
\(478\) | −568767. | + | 273904.i | −0.113858 | + | 0.0548313i | ||||
\(479\) | −6.27630e6 | + | 3.02251e6i | −1.24987 | + | 0.601906i | −0.937477 | − | 0.348047i | \(-0.886845\pi\) |
−0.312394 | + | 0.949953i | \(0.601131\pi\) | |||||||
\(480\) | −185438. | + | 812456.i | −0.0367363 | + | 0.160952i | ||||
\(481\) | 7.92950e6 | 1.56273 | ||||||||
\(482\) | −1.55500e6 | + | 6.81291e6i | −0.304869 | + | 1.33572i | ||||
\(483\) | 14186.9 | + | 17789.8i | 0.00276707 | + | 0.00346979i | ||||
\(484\) | 482117. | + | 2.11229e6i | 0.0935489 | + | 0.409865i | ||||
\(485\) | 583171. | + | 2.55504e6i | 0.112575 | + | 0.493223i | ||||
\(486\) | 4.77712e6 | − | 5.99032e6i | 0.917435 | − | 1.15043i | ||||
\(487\) | −1.07127e6 | + | 515896.i | −0.204681 | + | 0.0985690i | −0.533416 | − | 0.845853i | \(-0.679092\pi\) |
0.328735 | + | 0.944422i | \(0.393378\pi\) | |||||||
\(488\) | 2.27185e6 | + | 1.09406e6i | 0.431847 | + | 0.207967i | ||||
\(489\) | 823281. | + | 1.03236e6i | 0.155695 | + | 0.195236i | ||||
\(490\) | −1.61558e6 | + | 2.02587e6i | −0.303975 | + | 0.381173i | ||||
\(491\) | −6.15986e6 | − | 2.96643e6i | −1.15310 | − | 0.555304i | −0.243137 | − | 0.969992i | \(-0.578176\pi\) |
−0.909964 | + | 0.414688i | \(0.863891\pi\) | |||||||
\(492\) | 424394. | 0.0790417 | ||||||||
\(493\) | −2.13662e6 | + | 3.11345e6i | −0.395923 | + | 0.576932i | ||||
\(494\) | 4.72164e6 | 0.870513 | ||||||||
\(495\) | 641093. | + | 308734.i | 0.117600 | + | 0.0566333i | ||||
\(496\) | 527665. | − | 661671.i | 0.0963062 | − | 0.120764i | ||||
\(497\) | −178811. | − | 224221.i | −0.0324715 | − | 0.0407180i | ||||
\(498\) | 4.53042e6 | + | 2.18173e6i | 0.818587 | + | 0.394211i | ||||
\(499\) | 3.69637e6 | − | 1.78008e6i | 0.664544 | − | 0.320028i | −0.0710276 | − | 0.997474i | \(-0.522628\pi\) |
0.735572 | + | 0.677447i | \(0.236914\pi\) | |||||||
\(500\) | 3.39778e6 | − | 4.26068e6i | 0.607813 | − | 0.762173i | ||||
\(501\) | 1.04122e6 | + | 4.56187e6i | 0.185331 | + | 0.811986i | ||||
\(502\) | −3.69713e6 | − | 1.61982e7i | −0.654795 | − | 2.86884i | ||||
\(503\) | 6.16667e6 | + | 7.73276e6i | 1.08675 | + | 1.36275i | 0.926771 | + | 0.375626i | \(0.122572\pi\) |
0.159982 | + | 0.987120i | \(0.448856\pi\) | |||||||
\(504\) | 38034.8 | − | 166641.i | 0.00666968 | − | 0.0292218i | ||||
\(505\) | 499378. | 0.0871367 | ||||||||
\(506\) | −233261. | + | 1.02198e6i | −0.0405009 | + | 0.177446i | ||||
\(507\) | 1.19996e6 | − | 577871.i | 0.207323 | − | 0.0998415i | ||||
\(508\) | −1.65424e7 | + | 7.96640e6i | −2.84406 | + | 1.36963i | ||||
\(509\) | −39323.8 | + | 172289.i | −0.00672762 | + | 0.0294756i | −0.978180 | − | 0.207758i | \(-0.933383\pi\) |
0.971453 | + | 0.237233i | \(0.0762406\pi\) | |||||||
\(510\) | −1.41084e6 | −0.240189 | ||||||||
\(511\) | −116509. | + | 510460.i | −0.0197382 | + | 0.0864787i | ||||
\(512\) | 1.75525e6 | + | 2.20101e6i | 0.295912 | + | 0.371062i | ||||
\(513\) | −642920. | − | 2.81682e6i | −0.107861 | − | 0.472569i | ||||
\(514\) | −3.25259e6 | − | 1.42505e7i | −0.543027 | − | 2.37915i | ||||
\(515\) | −1.00126e6 | + | 1.25554e6i | −0.166352 | + | 0.208599i | ||||
\(516\) | 1.20958e7 | − | 5.82502e6i | 1.99991 | − | 0.963105i | ||||
\(517\) | −5.81725e6 | − | 2.80144e6i | −0.957176 | − | 0.460952i | ||||
\(518\) | −423984. | − | 531659.i | −0.0694265 | − | 0.0870581i | ||||
\(519\) | −1.50035e6 | + | 1.88138e6i | −0.244497 | + | 0.306589i | ||||
\(520\) | 2.25399e6 | + | 1.08546e6i | 0.365547 | + | 0.176038i | ||||
\(521\) | −9.92218e6 | −1.60145 | −0.800724 | − | 0.599034i | \(-0.795551\pi\) | ||||
−0.800724 | + | 0.599034i | \(0.795551\pi\) | |||||||
\(522\) | −3.52746e6 | − | 3.82498e6i | −0.566612 | − | 0.614402i | ||||
\(523\) | −8.88884e6 | −1.42099 | −0.710494 | − | 0.703703i | \(-0.751529\pi\) | ||||
−0.710494 | + | 0.703703i | \(0.751529\pi\) | |||||||
\(524\) | −1.27908e7 | − | 6.15975e6i | −2.03503 | − | 0.980019i | ||||
\(525\) | −125571. | + | 157461.i | −0.0198834 | + | 0.0249330i | ||||
\(526\) | 1.05537e7 | + | 1.32340e7i | 1.66319 | + | 2.08558i | ||||
\(527\) | −2.59214e6 | − | 1.24831e6i | −0.406567 | − | 0.195793i | ||||
\(528\) | −843960. | + | 406430.i | −0.131746 | + | 0.0634455i | ||||
\(529\) | −3.94832e6 | + | 4.95104e6i | −0.613442 | + | 0.769232i | ||||
\(530\) | −103601. | − | 453905.i | −0.0160204 | − | 0.0701900i | ||||
\(531\) | 7988.12 | + | 34998.2i | 0.00122944 | + | 0.00538654i | ||||
\(532\) | −159661. | − | 200208.i | −0.0244579 | − | 0.0306692i | ||||
\(533\) | −110001. | + | 481948.i | −0.0167718 | + | 0.0734821i | ||||
\(534\) | 8.18892e6 | 1.24272 | ||||||||
\(535\) | −163039. | + | 714319.i | −0.0246267 | + | 0.107897i | ||||
\(536\) | 3.97236e6 | − | 1.91299e6i | 0.597223 | − | 0.287608i | ||||
\(537\) | 5.91407e6 | − | 2.84807e6i | 0.885015 | − | 0.426201i | ||||
\(538\) | −2.97366e6 | + | 1.30284e7i | −0.442930 | + | 1.94060i | ||||
\(539\) | 5.84861e6 | 0.867124 | ||||||||
\(540\) | 813471. | − | 3.56405e6i | 0.120049 | − | 0.525968i | ||||
\(541\) | 1.46717e6 | + | 1.83977e6i | 0.215520 | + | 0.270253i | 0.877826 | − | 0.478980i | \(-0.158993\pi\) |
−0.662306 | + | 0.749234i | \(0.730422\pi\) | |||||||
\(542\) | 3.33325e6 | + | 1.46039e7i | 0.487382 | + | 2.13536i | ||||
\(543\) | 287558. | + | 1.25987e6i | 0.0418530 | + | 0.183370i | ||||
\(544\) | 2.38872e6 | − | 2.99536e6i | 0.346073 | − | 0.433962i | ||||
\(545\) | 2.02438e6 | − | 974890.i | 0.291945 | − | 0.140593i | ||||
\(546\) | −416991. | − | 200813.i | −0.0598612 | − | 0.0288276i | ||||
\(547\) | 196078. | + | 245874.i | 0.0280195 | + | 0.0351353i | 0.795644 | − | 0.605765i | \(-0.207133\pi\) |
−0.767624 | + | 0.640900i | \(0.778561\pi\) | |||||||
\(548\) | −6.37317e6 | + | 7.99171e6i | −0.906576 | + | 1.13681i | ||||
\(549\) | 1.30049e6 | + | 626284.i | 0.184152 | + | 0.0886830i | ||||
\(550\) | −9.27839e6 | −1.30787 | ||||||||
\(551\) | −3.25593e6 | + | 234035.i | −0.456873 | + | 0.0328399i | ||||
\(552\) | 758462. | 0.105946 | ||||||||
\(553\) | 469796. | + | 226242.i | 0.0653276 | + | 0.0314601i | ||||
\(554\) | 1.32463e7 | − | 1.66104e7i | 1.83367 | − | 2.29935i | ||||
\(555\) | −1.27707e6 | − | 1.60139e6i | −0.175987 | − | 0.220681i | ||||
\(556\) | 4.66031e6 | + | 2.24429e6i | 0.639334 | + | 0.307887i | ||||
\(557\) | 1.20047e7 | − | 5.78116e6i | 1.63951 | − | 0.789545i | 0.639727 | − | 0.768602i | \(-0.279047\pi\) |
0.999781 | − | 0.0209430i | \(-0.00666686\pi\) | |||||||
\(558\) | 2.47178e6 | − | 3.09951e6i | 0.336066 | − | 0.421413i | ||||
\(559\) | 3.47979e6 | + | 1.52460e7i | 0.471003 | + | 2.06360i | ||||
\(560\) | −5833.96 | − | 25560.3i | −0.000786128 | − | 0.00344425i | ||||
\(561\) | 1.98546e6 | + | 2.48969e6i | 0.266351 | + | 0.333994i | ||||
\(562\) | 1.64107e6 | − | 7.18999e6i | 0.219172 | − | 0.960257i | ||||
\(563\) | −8.91016e6 | −1.18472 | −0.592359 | − | 0.805674i | \(-0.701803\pi\) | ||||
−0.592359 | + | 0.805674i | \(0.701803\pi\) | |||||||
\(564\) | −2.48244e6 | + | 1.08763e7i | −0.328610 | + | 1.43974i | ||||
\(565\) | −2.77812e6 | + | 1.33787e6i | −0.366126 | + | 0.176317i | ||||
\(566\) | 9.59531e6 | − | 4.62086e6i | 1.25898 | − | 0.606292i | ||||
\(567\) | −20053.5 | + | 87860.2i | −0.00261959 | + | 0.0114772i | ||||
\(568\) | −9.55960e6 | −1.24328 | ||||||||
\(569\) | 2.90870e6 | − | 1.27438e7i | 0.376633 | − | 1.65014i | −0.331056 | − | 0.943611i | \(-0.607405\pi\) |
0.707689 | − | 0.706524i | \(-0.249738\pi\) | |||||||
\(570\) | −760433. | − | 953552.i | −0.0980333 | − | 0.122930i | ||||
\(571\) | 453529. | + | 1.98704e6i | 0.0582123 | + | 0.255045i | 0.995658 | − | 0.0930868i | \(-0.0296734\pi\) |
−0.937446 | + | 0.348131i | \(0.886816\pi\) | |||||||
\(572\) | −3.00056e6 | − | 1.31463e7i | −0.383453 | − | 1.68002i | ||||
\(573\) | 1.36481e6 | − | 1.71141e6i | 0.173654 | − | 0.217755i | ||||
\(574\) | 38195.4 | − | 18394.0i | 0.00483873 | − | 0.00233021i | ||||
\(575\) | 827144. | + | 398331.i | 0.104331 | + | 0.0502429i | ||||
\(576\) | 3.89406e6 | + | 4.88300e6i | 0.489042 | + | 0.613240i | ||||
\(577\) | −2.55680e6 | + | 3.20612e6i | −0.319710 | + | 0.400904i | −0.915553 | − | 0.402197i | \(-0.868247\pi\) |
0.595843 | + | 0.803101i | \(0.296818\pi\) | |||||||
\(578\) | −6.09194e6 | − | 2.93373e6i | −0.758466 | − | 0.365258i | ||||
\(579\) | −1.01299e7 | −1.25576 | ||||||||
\(580\) | −3.84015e6 | − | 1.52065e6i | −0.474000 | − | 0.187698i | ||||
\(581\) | 317660. | 0.0390411 | ||||||||
\(582\) | −1.45608e7 | − | 7.01213e6i | −1.78188 | − | 0.858109i | ||||
\(583\) | −655203. | + | 821598.i | −0.0798370 | + | 0.100112i | ||||
\(584\) | 1.08816e7 | + | 1.36451e7i | 1.32027 | + | 1.65556i | ||||
\(585\) | 1.29027e6 | + | 621359.i | 0.155880 | + | 0.0750677i | ||||
\(586\) | 1.01513e7 | − | 4.88862e6i | 1.22118 | − | 0.588088i | ||||
\(587\) | 7.46996e6 | − | 9.36703e6i | 0.894794 | − | 1.12204i | −0.0971390 | − | 0.995271i | \(-0.530969\pi\) |
0.991933 | − | 0.126765i | \(-0.0404594\pi\) | |||||||
\(588\) | −2.24866e6 | − | 9.85202e6i | −0.268213 | − | 1.17512i | ||||
\(589\) | −553444. | − | 2.42479e6i | −0.0657332 | − | 0.287996i | ||||
\(590\) | 28093.6 | + | 35228.3i | 0.00332260 | + | 0.00416641i | ||||
\(591\) | 793083. | − | 3.47472e6i | 0.0934006 | − | 0.409215i | ||||
\(592\) | −2.76996e6 | −0.324840 | ||||||||
\(593\) | 165555. | − | 725343.i | 0.0193333 | − | 0.0847046i | −0.964341 | − | 0.264663i | \(-0.914739\pi\) |
0.983674 | + | 0.179959i | \(0.0575964\pi\) | |||||||
\(594\) | −1.17553e7 | + | 5.66105e6i | −1.36700 | + | 0.658310i | ||||
\(595\) | −80301.3 | + | 38671.1i | −0.00929887 | + | 0.00447810i | ||||
\(596\) | 2.56506e6 | − | 1.12383e7i | 0.295789 | − | 1.29593i | ||||
\(597\) | −1.31680e6 | −0.151212 | ||||||||
\(598\) | −469461. | + | 2.05684e6i | −0.0536842 | + | 0.235206i | ||||
\(599\) | −4.88518e6 | − | 6.12582e6i | −0.556305 | − | 0.697585i | 0.421565 | − | 0.906798i | \(-0.361481\pi\) |
−0.977870 | + | 0.209214i | \(0.932910\pi\) | |||||||
\(600\) | 1.49385e6 | + | 6.54498e6i | 0.169406 | + | 0.742216i | ||||
\(601\) | −2.29686e6 | − | 1.00632e7i | −0.259388 | − | 1.13645i | −0.921908 | − | 0.387408i | \(-0.873371\pi\) |
0.662521 | − | 0.749043i | \(-0.269487\pi\) | |||||||
\(602\) | 836154. | − | 1.04850e6i | 0.0940362 | − | 0.117918i | ||||
\(603\) | 2.27393e6 | − | 1.09507e6i | 0.254673 | − | 0.122644i | ||||
\(604\) | −7.69419e6 | − | 3.70533e6i | −0.858164 | − | 0.413270i | ||||
\(605\) | 406450. | + | 509673.i | 0.0451460 | + | 0.0566113i | ||||
\(606\) | −1.92004e6 | + | 2.40766e6i | −0.212388 | + | 0.266326i | ||||
\(607\) | 1.05707e7 | + | 5.09059e6i | 1.16448 | + | 0.560785i | 0.913353 | − | 0.407169i | \(-0.133484\pi\) |
0.251128 | + | 0.967954i | \(0.419198\pi\) | |||||||
\(608\) | 3.31199e6 | 0.363354 | ||||||||
\(609\) | 297501. | + | 117807.i | 0.0325046 | + | 0.0128714i | ||||
\(610\) | 1.81177e6 | 0.197142 | ||||||||
\(611\) | −1.17078e7 | − | 5.63819e6i | −1.26874 | − | 0.610994i | ||||
\(612\) | −3.52411e6 | + | 4.41909e6i | −0.380339 | + | 0.476930i | ||||
\(613\) | −5.05243e6 | − | 6.33555e6i | −0.543062 | − | 0.680978i | 0.432264 | − | 0.901747i | \(-0.357715\pi\) |
−0.975326 | + | 0.220769i | \(0.929143\pi\) | |||||||
\(614\) | 1.82796e7 | + | 8.80300e6i | 1.95680 | + | 0.942345i | ||||
\(615\) | 115047. | − | 55403.8i | 0.0122656 | − | 0.00590679i | ||||
\(616\) | −301925. | + | 378602.i | −0.0320588 | + | 0.0402005i | ||||
\(617\) | 2.50335e6 | + | 1.09679e7i | 0.264733 | + | 1.15987i | 0.916049 | + | 0.401066i | \(0.131360\pi\) |
−0.651316 | + | 0.758807i | \(0.725783\pi\) | |||||||
\(618\) | −2.20363e6 | − | 9.65475e6i | −0.232096 | − | 1.01688i | ||||
\(619\) | −5.42479e6 | − | 6.80247e6i | −0.569058 | − | 0.713576i | 0.411146 | − | 0.911570i | \(-0.365129\pi\) |
−0.980203 | + | 0.197994i | \(0.936557\pi\) | |||||||
\(620\) | 700258. | − | 3.06803e6i | 0.0731609 | − | 0.320539i | ||||
\(621\) | 1.29099e6 | 0.134336 | ||||||||
\(622\) | −5.95524e6 | + | 2.60916e7i | −0.617196 | + | 2.70411i | ||||
\(623\) | 466091. | − | 224458.i | 0.0481117 | − | 0.0231694i | ||||
\(624\) | −1.69856e6 | + | 817982.i | −0.174630 | + | 0.0840973i | ||||
\(625\) | −1.61738e6 | + | 7.08620e6i | −0.165620 | + | 0.725627i | ||||
\(626\) | −1.29326e7 | −1.31901 | ||||||||
\(627\) | −612571. | + | 2.68385e6i | −0.0622282 | + | 0.272640i | ||||
\(628\) | 1.33637e7 | + | 1.67575e7i | 1.35216 | + | 1.69555i | ||||
\(629\) | 2.09539e6 | + | 9.18049e6i | 0.211173 | + | 0.925207i | ||||
\(630\) | −27328.4 | − | 119734.i | −0.00274324 | − | 0.0120189i | ||||
\(631\) | 7.65846e6 | − | 9.60340e6i | 0.765716 | − | 0.960178i | −0.234212 | − | 0.972186i | \(-0.575251\pi\) |
0.999928 | + | 0.0120079i | \(0.00382233\pi\) | |||||||
\(632\) | 1.56598e7 | − | 7.54135e6i | 1.55953 | − | 0.751028i | ||||
\(633\) | −2.05516e6 | − | 989714.i | −0.203862 | − | 0.0981749i | ||||
\(634\) | −6.10855e6 | − | 7.65988e6i | −0.603552 | − | 0.756831i | ||||
\(635\) | −3.44441e6 | + | 4.31916e6i | −0.338985 | + | 0.425074i | ||||
\(636\) | 1.63590e6 | + | 787807.i | 0.160366 | + | 0.0772284i | ||||
\(637\) | 1.17709e7 | 1.14938 | ||||||||
\(638\) | 4.30213e6 | + | 1.40994e7i | 0.418439 | + | 1.37135i | ||||
\(639\) | −5.47227e6 | −0.530171 | ||||||||
\(640\) | 4.86846e6 | + | 2.34453e6i | 0.469831 | + | 0.226259i | ||||
\(641\) | −278353. | + | 349044.i | −0.0267578 | + | 0.0335532i | −0.795030 | − | 0.606570i | \(-0.792545\pi\) |
0.768273 | + | 0.640123i | \(0.221117\pi\) | |||||||
\(642\) | −2.81709e6 | − | 3.53252e6i | −0.269751 | − | 0.338257i | ||||
\(643\) | −1.30155e7 | − | 6.26793e6i | −1.24146 | − | 0.597857i | −0.306252 | − | 0.951950i | \(-0.599075\pi\) |
−0.935210 | + | 0.354094i | \(0.884789\pi\) | |||||||
\(644\) | 103090. | − | 49645.3i | 0.00979490 | − | 0.00471697i | ||||
\(645\) | 2.51855e6 | − | 3.15816e6i | 0.238370 | − | 0.298906i | ||||
\(646\) | 1.24770e6 | + | 5.46654e6i | 0.117633 | + | 0.515384i | ||||
\(647\) | 3.37972e6 | + | 1.48075e7i | 0.317410 | + | 1.39066i | 0.842078 | + | 0.539356i | \(0.181332\pi\) |
−0.524668 | + | 0.851307i | \(0.675811\pi\) | |||||||
\(648\) | 1.87294e6 | + | 2.34860e6i | 0.175221 | + | 0.219721i | ||||
\(649\) | 22631.0 | − | 99152.8i | 0.00210907 | − | 0.00924046i | ||||
\(650\) | −1.86737e7 | −1.73359 | ||||||||
\(651\) | −54249.8 | + | 237684.i | −0.00501702 | + | 0.0219810i | ||||
\(652\) | 5.98240e6 | − | 2.88097e6i | 0.551133 | − | 0.265412i | ||||
\(653\) | 577234. | − | 277981.i | 0.0529748 | − | 0.0255113i | −0.407209 | − | 0.913335i | \(-0.633498\pi\) |
0.460184 | + | 0.887824i | \(0.347784\pi\) | |||||||
\(654\) | −3.08322e6 | + | 1.35085e7i | −0.281878 | + | 1.23499i | ||||
\(655\) | −4.27156e6 | −0.389030 | ||||||||
\(656\) | 38426.0 | − | 168355.i | 0.00348631 | − | 0.0152745i | ||||
\(657\) | 6.22906e6 | + | 7.81099e6i | 0.563001 | + | 0.705980i | ||||
\(658\) | 247977. | + | 1.08646e6i | 0.0223278 | + | 0.0978247i | ||||
\(659\) | −431640. | − | 1.89114e6i | −0.0387176 | − | 0.169633i | 0.951873 | − | 0.306494i | \(-0.0991558\pi\) |
−0.990590 | + | 0.136861i | \(0.956299\pi\) | |||||||
\(660\) | −2.17170e6 | + | 2.72322e6i | −0.194062 | + | 0.243346i | ||||
\(661\) | 7.14118e6 | − | 3.43901e6i | 0.635721 | − | 0.306147i | −0.0881243 | − | 0.996109i | \(-0.528087\pi\) |
0.723845 | + | 0.689962i | \(0.242373\pi\) | |||||||
\(662\) | −6.09500e6 | − | 2.93520e6i | −0.540541 | − | 0.260311i | ||||
\(663\) | 3.99595e6 | + | 5.01076e6i | 0.353050 | + | 0.442710i | ||||
\(664\) | 6.60189e6 | − | 8.27851e6i | 0.581096 | − | 0.728671i | ||||
\(665\) | −69418.6 | − | 33430.2i | −0.00608726 | − | 0.00293147i | ||||
\(666\) | −1.29755e7 | −1.13354 | ||||||||
\(667\) | 221778. | − | 1.44162e6i | 0.0193021 | − | 0.125469i | ||||
\(668\) | 2.35298e7 | 2.04022 | ||||||||
\(669\) | 3.76954e6 | + | 1.81532e6i | 0.325629 | + | 0.156815i | ||||
\(670\) | 1.97516e6 | − | 2.47677e6i | 0.169987 | − | 0.213156i | ||||
\(671\) | −2.54968e6 | − | 3.19720e6i | −0.218615 | − | 0.274135i | ||||
\(672\) | −292498. | − | 140860.i | −0.0249862 | − | 0.0120327i | ||||
\(673\) | 1.35420e7 | − | 6.52149e6i | 1.15251 | − | 0.555021i | 0.242725 | − | 0.970095i | \(-0.421959\pi\) |
0.909787 | + | 0.415074i | \(0.136244\pi\) | |||||||
\(674\) | −1.24678e7 | + | 1.56341e7i | −1.05716 | + | 1.32563i | ||||
\(675\) | 2.54270e6 | + | 1.11403e7i | 0.214801 | + | 0.941103i | ||||
\(676\) | −1.49031e6 | − | 6.52946e6i | −0.125432 | − | 0.549554i | ||||
\(677\) | 9.27603e6 | + | 1.16318e7i | 0.777840 | + | 0.975381i | 1.00000 | 0.000370611i | \(0.000117969\pi\) | |
−0.222160 | + | 0.975010i | \(0.571311\pi\) | |||||||
\(678\) | 4.23121e6 | − | 1.85381e7i | 0.353501 | − | 1.54879i | ||||
\(679\) | −1.02097e6 | −0.0849839 | ||||||||
\(680\) | −661088. | + | 2.89642e6i | −0.0548261 | + | 0.240209i | ||||
\(681\) | −3.43502e6 | + | 1.65422e6i | −0.283832 | + | 0.136686i | ||||
\(682\) | −1.01193e7 | + | 4.87319e6i | −0.833083 | + | 0.401192i | ||||
\(683\) | 4.15106e6 | − | 1.81870e7i | 0.340492 | − | 1.49179i | −0.457545 | − | 0.889186i | \(-0.651271\pi\) |
0.798037 | − | 0.602608i | \(-0.205872\pi\) | |||||||
\(684\) | −4.88622e6 | −0.399331 | ||||||||
\(685\) | −684375. | + | 2.99844e6i | −0.0557273 | + | 0.244157i | ||||
\(686\) | −1.26033e6 | − | 1.58040e6i | −0.102252 | − | 0.128220i | ||||
\(687\) | −401683. | − | 1.75989e6i | −0.0324707 | − | 0.142264i | ||||
\(688\) | −1.21557e6 | − | 5.32577e6i | −0.0979061 | − | 0.428955i | ||||
\(689\) | −1.31866e6 | + | 1.65355e6i | −0.105824 | + | 0.132700i | ||||
\(690\) | 490995. | − | 236451.i | 0.0392604 | − | 0.0189068i | ||||
\(691\) | 1.86964e6 | + | 900374.i | 0.148958 | + | 0.0717344i | 0.506878 | − | 0.862018i | \(-0.330800\pi\) |
−0.357920 | + | 0.933752i | \(0.616514\pi\) | |||||||
\(692\) | 7.54464e6 | + | 9.46068e6i | 0.598926 | + | 0.751030i | ||||
\(693\) | −172833. | + | 216726.i | −0.0136708 | + | 0.0171426i | ||||
\(694\) | 1.11916e7 | + | 5.38959e6i | 0.882051 | + | 0.424773i | ||||
\(695\) | 1.55633e6 | 0.122219 | ||||||||
\(696\) | 9.25306e6 | − | 5.30477e6i | 0.724040 | − | 0.415091i | ||||
\(697\) | −587049. | −0.0457712 | ||||||||
\(698\) | −2.69970e7 | − | 1.30011e7i | −2.09738 | − | 1.01005i | ||||
\(699\) | 3.44603e6 | − | 4.32118e6i | 0.266763 | − | 0.334510i | ||||
\(700\) | 631446. | + | 791808.i | 0.0487070 | + | 0.0610766i | ||||
\(701\) | −1.93650e7 | − | 9.32568e6i | −1.48841 | − | 0.716780i | −0.499639 | − | 0.866233i | \(-0.666534\pi\) |
−0.988769 | + | 0.149454i | \(0.952248\pi\) | |||||||
\(702\) | −2.36587e7 | + | 1.13934e7i | −1.81196 | + | 0.872594i | ||||
\(703\) | −5.07546e6 | + | 6.36443e6i | −0.387336 | + | 0.485703i | ||||
\(704\) | −3.93734e6 | − | 1.72506e7i | −0.299414 | − | 1.31182i | ||||
\(705\) | 746923. | + | 3.27248e6i | 0.0565983 | + | 0.247973i | ||||
\(706\) | −1.36877e7 | − | 1.71638e7i | −1.03352 | − | 1.29599i | ||||
\(707\) | −43290.0 | + | 189666.i | −0.00325716 | + | 0.0142705i | ||||
\(708\) | −175725. | −0.0131750 | ||||||||
\(709\) | 3.06222e6 | − | 1.34165e7i | 0.228782 | − | 1.00236i | −0.721853 | − | 0.692046i | \(-0.756709\pi\) |
0.950635 | − | 0.310312i | \(-0.100433\pi\) | |||||||
\(710\) | −6.18846e6 | + | 2.98021e6i | −0.460720 | + | 0.221871i | ||||
\(711\) | 8.96424e6 | − | 4.31695e6i | 0.665027 | − | 0.320260i | ||||
\(712\) | 3.83714e6 | − | 1.68116e7i | 0.283667 | − | 1.24282i | ||||
\(713\) | 1.11132e6 | 0.0818680 | ||||||||
\(714\) | 122303. | − | 535843.i | 0.00897822 | − | 0.0393361i | ||||
\(715\) | −2.52964e6 | − | 3.17206e6i | −0.185052 | − | 0.232047i | ||||
\(716\) | −7.34504e6 | − | 3.21807e7i | −0.535441 | − | 2.34592i | ||||
\(717\) | −164834. | − | 722184.i | −0.0119743 | − | 0.0524627i | ||||
\(718\) | 1.43026e7 | − | 1.79349e7i | 1.03539 | − | 1.29833i | ||||
\(719\) | −1.16922e7 | + | 5.63068e6i | −0.843480 | + | 0.406199i | −0.805153 | − | 0.593067i | \(-0.797917\pi\) |
−0.0383266 | + | 0.999265i | \(0.512203\pi\) | |||||||
\(720\) | −450720. | − | 217055.i | −0.0324023 | − | 0.0156041i | ||||
\(721\) | −390061. | − | 489121.i | −0.0279444 | − | 0.0350411i | ||||
\(722\) | 1.13821e7 | − | 1.42727e7i | 0.812607 | − | 1.01898i | ||||
\(723\) | −7.38789e6 | − | 3.55782e6i | −0.525623 | − | 0.253127i | ||||
\(724\) | 6.49833e6 | 0.460739 | ||||||||
\(725\) | 1.28769e7 | − | 925591.i | 0.909845 | − | 0.0653994i | ||||
\(726\) | −4.02004e6 | −0.283067 | ||||||||
\(727\) | 1.72085e7 | + | 8.28716e6i | 1.20755 | + | 0.581527i | 0.925820 | − | 0.377966i | \(-0.123376\pi\) |
0.281734 | + | 0.959493i | \(0.409091\pi\) | |||||||
\(728\) | −607655. | + | 761975.i | −0.0424941 | + | 0.0532859i | ||||
\(729\) | 7.72135e6 | + | 9.68226e6i | 0.538114 | + | 0.674774i | ||||
\(730\) | 1.12982e7 | + | 5.44091e6i | 0.784695 | + | 0.377889i | ||||
\(731\) | −1.67317e7 | + | 8.05756e6i | −1.15810 | + | 0.557712i | ||||
\(732\) | −4.40541e6 | + | 5.52421e6i | −0.303884 | + | 0.381059i | ||||
\(733\) | −2.40065e6 | − | 1.05179e7i | −0.165032 | − | 0.723053i | −0.987935 | − | 0.154870i | \(-0.950504\pi\) |
0.822903 | − | 0.568182i | \(-0.192353\pi\) | |||||||
\(734\) | 753943. | + | 3.30324e6i | 0.0516533 | + | 0.226308i | ||||
\(735\) | −1.89574e6 | − | 2.37718e6i | −0.129438 | − | 0.162310i | ||||
\(736\) | −329303. | + | 1.44277e6i | −0.0224079 | + | 0.0981755i | ||||
\(737\) | −7.15033e6 | −0.484906 | ||||||||
\(738\) | 180002. | − | 788639.i | 0.0121657 | − | 0.0533012i | ||||
\(739\) | −825295. | + | 397441.i | −0.0555902 | + | 0.0267708i | −0.461472 | − | 0.887155i | \(-0.652679\pi\) |
0.405882 | + | 0.913925i | \(0.366964\pi\) | |||||||
\(740\) | −9.27985e6 | + | 4.46894e6i | −0.622962 | + | 0.300003i | ||||
\(741\) | −1.23286e6 | + | 5.40152e6i | −0.0824838 | + | 0.361385i | ||||
\(742\) | 181376. | 0.0120940 | ||||||||
\(743\) | 769522. | − | 3.37150e6i | 0.0511386 | − | 0.224053i | −0.942901 | − | 0.333073i | \(-0.891914\pi\) |
0.994039 | + | 0.109021i | \(0.0347714\pi\) | |||||||
\(744\) | 5.06678e6 | + | 6.35355e6i | 0.335583 | + | 0.420808i | ||||
\(745\) | −771781. | − | 3.38139e6i | −0.0509452 | − | 0.223206i | ||||
\(746\) | 9.69394e6 | + | 4.24719e7i | 0.637754 | + | 2.79418i | ||||
\(747\) | 3.77917e6 | − | 4.73893e6i | 0.247796 | − | 0.310727i | ||||
\(748\) | 1.44274e7 | − | 6.94788e6i | 0.942833 | − | 0.454044i | ||||
\(749\) | −257167. | − | 123845.i | −0.0167499 | − | 0.00806631i | ||||
\(750\) | 6.30440e6 | + | 7.90547e6i | 0.409252 | + | 0.513185i | ||||
\(751\) | −8.04156e6 | + | 1.00838e7i | −0.520284 | + | 0.652415i | −0.970669 | − | 0.240419i | \(-0.922715\pi\) |
0.450385 | + | 0.892834i | \(0.351287\pi\) | |||||||
\(752\) | 4.08981e6 | + | 1.96955e6i | 0.263730 | + | 0.127005i | ||||
\(753\) | 1.94960e7 | 1.25302 | ||||||||
\(754\) | 8.65849e6 | + | 2.83765e7i | 0.554643 | + | 1.81773i | ||||
\(755\) | −2.56951e6 | −0.164052 | ||||||||
\(756\) | 1.28312e6 | + | 617918.i | 0.0816513 | + | 0.0393212i | ||||
\(757\) | 1.75473e6 | − | 2.20036e6i | 0.111294 | − | 0.139558i | −0.723065 | − | 0.690780i | \(-0.757267\pi\) |
0.834358 | + | 0.551223i | \(0.185839\pi\) | |||||||
\(758\) | 2.22716e7 | + | 2.79277e7i | 1.40792 | + | 1.76548i | ||||
\(759\) | −1.10823e6 | − | 533697.i | −0.0698275 | − | 0.0336272i | ||||
\(760\) | −2.31394e6 | + | 1.11433e6i | −0.145317 | + | 0.0699812i | ||||
\(761\) | −2.82466e6 | + | 3.54201e6i | −0.176809 | + | 0.221711i | −0.862337 | − | 0.506335i | \(-0.831000\pi\) |
0.685528 | + | 0.728046i | \(0.259571\pi\) | |||||||
\(762\) | −7.58069e6 | − | 3.32132e7i | −0.472957 | − | 2.07216i | ||||
\(763\) | 194778. | + | 853378.i | 0.0121123 | + | 0.0530677i | ||||
\(764\) | −6.86306e6 | − | 8.60601e6i | −0.425387 | − | 0.533419i | ||||
\(765\) | −378432. | + | 1.65802e6i | −0.0233794 | + | 0.102432i | ||||
\(766\) | 2.77318e7 | 1.70768 | ||||||||
\(767\) | 45547.2 | − | 199555.i | 0.00279559 | − | 0.0122483i | ||||
\(768\) | −1.40120e7 | + | 6.74782e6i | −0.857230 | + | 0.412820i | ||||
\(769\) | −2.42356e7 | + | 1.16712e7i | −1.47787 | + | 0.711707i | −0.987178 | − | 0.159623i | \(-0.948972\pi\) |
−0.490697 | + | 0.871330i | \(0.663258\pi\) | |||||||
\(770\) | −77423.7 | + | 339215.i | −0.00470595 | + | 0.0206181i | ||||
\(771\) | 1.71518e7 | 1.03914 | ||||||||
\(772\) | −1.13350e7 | + | 4.96618e7i | −0.684507 | + | 2.99902i | ||||
\(773\) | −6.70232e6 | − | 8.40444e6i | −0.403438 | − | 0.505895i | 0.538064 | − | 0.842904i | \(-0.319156\pi\) |
−0.941501 | + | 0.337009i | \(0.890585\pi\) | |||||||
\(774\) | −5.69419e6 | − | 2.49479e7i | −0.341649 | − | 1.49686i | ||||
\(775\) | 2.18883e6 | + | 9.58987e6i | 0.130905 | + | 0.573533i | ||||
\(776\) | −2.12186e7 | + | 2.66073e7i | −1.26492 | + | 1.58616i | ||||
\(777\) | 718920. | − | 346214.i | 0.0427197 | − | 0.0205727i | ||||
\(778\) | 2.63508e6 | + | 1.26899e6i | 0.156079 | + | 0.0751638i | ||||
\(779\) | −316415. | − | 396772.i | −0.0186816 | − | 0.0234260i | ||||
\(780\) | −4.37077e6 | + | 5.48077e6i | −0.257230 | + | 0.322556i | ||||
\(781\) | 1.39681e7 | + | 6.72668e6i | 0.819425 | + | 0.394614i | ||||
\(782\) | −2.50539e6 | −0.146507 | ||||||||
\(783\) | 1.57497e7 | − | 9.02932e6i | 0.918056 | − | 0.526321i | ||||
\(784\) | −4.11186e6 | −0.238918 | ||||||||
\(785\) | 5.81037e6 | + | 2.79813e6i | 0.336535 | + | 0.162066i | ||||
\(786\) | 1.64236e7 | − | 2.05945e7i | 0.948225 | − | 1.18904i | ||||
\(787\) | −1.84716e7 | − | 2.31627e7i | −1.06309 | − | 1.33307i | −0.940191 | − | 0.340647i | \(-0.889354\pi\) |
−0.122894 | − | 0.992420i | \(-0.539217\pi\) | |||||||
\(788\) | −1.61475e7 | − | 7.77621e6i | −0.926379 | − | 0.446120i | ||||
\(789\) | −1.78952e7 | + | 8.61790e6i | −1.02340 | + | 0.492843i | ||||
\(790\) | 7.78643e6 | − | 9.76387e6i | 0.443885 | − | 0.556614i | ||||
\(791\) | −267300. | − | 1.17112e6i | −0.0151900 | − | 0.0665518i | ||||
\(792\) | 2.05610e6 | + | 9.00837e6i | 0.116475 | + | 0.510309i | ||||
\(793\) | −5.13150e6 | − | 6.43470e6i | −0.289775 | − | 0.363367i | ||||
\(794\) | −3.73457e6 | + | 1.63622e7i | −0.210227 | + | 0.921065i | ||||
\(795\) | 546315. | 0.0306567 | ||||||||
\(796\) | −1.47346e6 | + | 6.45565e6i | −0.0824244 | + | 0.361125i | ||||
\(797\) | 1.16562e7 | − | 5.61333e6i | 0.649997 | − | 0.313022i | −0.0796737 | − | 0.996821i | \(-0.525388\pi\) |
0.729670 | + | 0.683799i | \(0.239674\pi\) | |||||||
\(798\) | 428083. | − | 206154.i | 0.0237969 | − | 0.0114600i | ||||
\(799\) | 3.43388e6 | − | 1.50448e7i | 0.190291 | − | 0.833718i | ||||
\(800\) | −1.30987e7 | −0.723606 | ||||||||
\(801\) | 2.19653e6 | − | 9.62361e6i | 0.120964 | − | 0.529976i | ||||
\(802\) | −1.24660e7 | − | 1.56318e7i | −0.684369 | − | 0.858171i | ||||
\(803\) | −6.29829e6 | − | 2.75946e7i | −0.344694 | − | 1.51020i | ||||
\(804\) | 2.74914e6 | + | 1.20448e7i | 0.149988 | + | 0.657141i | ||||
\(805\) | 21465.0 | − | 26916.3i | 0.00116746 | − | 0.00146395i | ||||
\(806\) | −2.03661e7 | + | 9.80779e6i | −1.10426 | + | 0.531782i | ||||
\(807\) | −1.41280e7 | − | 6.80368e6i | −0.763654 | − | 0.367756i | ||||
\(808\) | 4.04317e6 | + | 5.06997e6i | 0.217868 | + | 0.273198i | ||||
\(809\) | −1.06980e7 | + | 1.34149e7i | −0.574689 | + | 0.720638i | −0.981197 | − | 0.193010i | \(-0.938175\pi\) |
0.406507 | + | 0.913647i | \(0.366747\pi\) | |||||||
\(810\) | 1.94464e6 | + | 936488.i | 0.104142 | + | 0.0501522i | ||||
\(811\) | 2.76780e7 | 1.47769 | 0.738845 | − | 0.673876i | \(-0.235372\pi\) | ||||
0.738845 | + | 0.673876i | \(0.235372\pi\) | |||||||
\(812\) | 910443. | − | 1.32668e6i | 0.0484577 | − | 0.0706117i | ||||
\(813\) | −1.75771e7 | −0.932656 | ||||||||
\(814\) | 3.31202e7 | + | 1.59499e7i | 1.75199 | + | 0.843715i | ||||
\(815\) | 1.24564e6 | − | 1.56198e6i | 0.0656898 | − | 0.0823724i | ||||
\(816\) | −1.39588e6 | − | 1.75037e6i | −0.0733874 | − | 0.0920249i | ||||
\(817\) | −1.44642e7 | − | 6.96557e6i | −0.758120 | − | 0.365091i | ||||
\(818\) | 1.95049e7 | − | 9.39307e6i | 1.01920 | − | 0.490823i | ||||
\(819\) | −347845. | + | 436183.i | −0.0181207 | + | 0.0227227i | ||||
\(820\) | −142884. | − | 626016.i | −0.00742077 | − | 0.0325125i | ||||
\(821\) | 1.90517e6 | + | 8.34712e6i | 0.0986454 | + | 0.432194i | 1.00000 | 0.000888872i | \(-0.000282937\pi\) | |
−0.901354 | + | 0.433083i | \(0.857426\pi\) | |||||||
\(822\) | −1.18251e7 | − | 1.48282e7i | −0.610415 | − | 0.765436i | ||||
\(823\) | −2.37392e6 | + | 1.04008e7i | −0.122170 | + | 0.535263i | 0.876389 | + | 0.481604i | \(0.159946\pi\) |
−0.998559 | + | 0.0536592i | \(0.982912\pi\) | |||||||
\(824\) | −2.08535e7 | −1.06994 | ||||||||
\(825\) | 2.42267e6 | − | 1.06144e7i | 0.123925 | − | 0.542951i | ||||
\(826\) | −15815.2 | + | 7616.20i | −0.000806538 | + | 0.000388408i | ||||
\(827\) | −1.63283e6 | + | 786331.i | −0.0830191 | + | 0.0399799i | −0.474933 | − | 0.880022i | \(-0.657528\pi\) |
0.391913 | + | 0.920002i | \(0.371813\pi\) | |||||||
\(828\) | 485825. | − | 2.12854e6i | 0.0246266 | − | 0.107896i | ||||
\(829\) | −1.19392e7 | −0.603378 | −0.301689 | − | 0.953406i | \(-0.597550\pi\) | ||||
−0.301689 | + | 0.953406i | \(0.597550\pi\) | |||||||
\(830\) | 1.69295e6 | − | 7.41728e6i | 0.0852997 | − | 0.373723i | ||||
\(831\) | 1.55434e7 | + | 1.94908e7i | 0.780807 | + | 0.979101i | ||||
\(832\) | −7.92431e6 | − | 3.47187e7i | −0.396874 | − | 1.73882i | ||||
\(833\) | 3.11049e6 | + | 1.36280e7i | 0.155316 | + | 0.680485i | ||||
\(834\) | −5.98388e6 | + | 7.50355e6i | −0.297898 | + | 0.373553i | ||||
\(835\) | 6.37858e6 | − | 3.07176e6i | 0.316598 | − | 0.152465i | ||||
\(836\) | 1.24722e7 | + | 6.00628e6i | 0.617201 | + | 0.297228i | ||||
\(837\) | 8.62424e6 | + | 1.08144e7i | 0.425507 | + | 0.533569i | ||||
\(838\) | 2.20081e7 | − | 2.75973e7i | 1.08261 | − | 1.35755i | ||||
\(839\) | 3.34162e7 | + | 1.60924e7i | 1.63890 | + | 0.789251i | 0.999797 | + | 0.0201274i | \(0.00640718\pi\) |
0.639100 | + | 0.769124i | \(0.279307\pi\) | |||||||
\(840\) | 251748. | 0.0123103 | ||||||||
\(841\) | −7.37721e6 | − | 1.91385e7i | −0.359668 | − | 0.933080i | ||||
\(842\) | 1.75188e7 | 0.851579 | ||||||||
\(843\) | 7.79680e6 | + | 3.75474e6i | 0.377874 | + | 0.181975i | ||||
\(844\) | −7.15175e6 | + | 8.96801e6i | −0.345586 | + | 0.433351i | ||||
\(845\) | −1.25641e6 | − | 1.57549e6i | −0.0605326 | − | 0.0759054i | ||||
\(846\) | 1.91582e7 | + | 9.22610e6i | 0.920298 | + | 0.443192i | ||||
\(847\) | −228810. | + | 110189.i | −0.0109589 | + | 0.00527752i | ||||
\(848\) | 460640. | − | 577624.i | 0.0219974 | − | 0.0275839i | ||||
\(849\) | 2.78081e6 | + | 1.21835e7i | 0.132404 | + | 0.580101i | ||||
\(850\) | −4.93456e6 | − | 2.16197e7i | −0.234262 | − | 1.02637i | ||||
\(851\) | −2.26784e6 | − | 2.84378e6i | −0.107346 | − | 0.134608i | ||||
\(852\) | 5.96071e6 | − | 2.61156e7i | 0.281319 | − | 1.23254i | ||||
\(853\) | −1.42682e7 | −0.671424 | −0.335712 | − | 0.941965i | \(-0.608977\pi\) | ||||
−0.335712 | + | 0.941965i | \(0.608977\pi\) | |||||||
\(854\) | −157058. | + | 688116.i | −0.00736912 | + | 0.0322862i | ||||
\(855\) | −1.32458e6 | + | 637886.i | −0.0619676 | + | 0.0298420i | ||||
\(856\) | −8.57219e6 | + | 4.12815e6i | −0.399860 | + | 0.192562i | ||||
\(857\) | 1.38233e6 | − | 6.05637e6i | 0.0642923 | − | 0.281683i | −0.932555 | − | 0.361028i | \(-0.882426\pi\) |
0.996847 | + | 0.0793452i | \(0.0252830\pi\) | |||||||
\(858\) | 2.50196e7 | 1.16028 | ||||||||
\(859\) | −1.62076e6 | + | 7.10100e6i | −0.0749436 | + | 0.328349i | −0.998477 | − | 0.0551684i | \(-0.982430\pi\) |
0.923533 | + | 0.383518i | \(0.125288\pi\) | |||||||
\(860\) | −1.26648e7 | − | 1.58811e7i | −0.583917 | − | 0.732209i | ||||
\(861\) | 11069.4 | + | 48498.1i | 0.000508880 | + | 0.00222955i | ||||
\(862\) | 7.67393e6 | + | 3.36217e7i | 0.351763 | + | 1.54117i | ||||
\(863\) | −2.23148e7 | + | 2.79819e7i | −1.01992 | + | 1.27894i | −0.0601384 | + | 0.998190i | \(0.519154\pi\) |
−0.959781 | + | 0.280749i | \(0.909417\pi\) | |||||||
\(864\) | −1.65954e7 | + | 7.99192e6i | −0.756316 | + | 0.364223i | ||||
\(865\) | 3.28032e6 | + | 1.57972e6i | 0.149065 | + | 0.0717859i | ||||
\(866\) | −1.98494e7 | − | 2.48904e7i | −0.899402 | − | 1.12781i | ||||
\(867\) | 4.94682e6 | − | 6.20312e6i | 0.223501 | − | 0.280261i | ||||
\(868\) | 1.10455e6 | + | 531921.i | 0.0497605 | + | 0.0239634i | ||||
\(869\) | −2.81879e7 | −1.26623 | ||||||||
\(870\) | 4.33626e6 | − | 6.31872e6i | 0.194230 | − | 0.283029i | ||||
\(871\) | −1.43908e7 | −0.642745 | ||||||||
\(872\) | 2.62878e7 | + | 1.26595e7i | 1.17075 | + | 0.563802i | ||||
\(873\) | −1.21463e7 | + | 1.52310e7i | −0.539398 | + | 0.676383i | ||||
\(874\) | −1.35039e6 | − | 1.69333e6i | −0.0597971 | − | 0.0749831i | ||||
\(875\) | 575518. | + | 277155.i | 0.0254120 | + | 0.0122378i | ||||
\(876\) | −4.40617e7 | + | 2.12190e7i | −1.94000 | + | 0.934254i | ||||
\(877\) | 2.94377e6 | − | 3.69138e6i | 0.129243 | − | 0.162065i | −0.713000 | − | 0.701164i | \(-0.752664\pi\) |
0.842242 | + | 0.539099i | \(0.181235\pi\) | |||||||
\(878\) | −5.46250e6 | − | 2.39328e7i | −0.239142 | − | 1.04775i | ||||
\(879\) | 2.94195e6 | + | 1.28895e7i | 0.128429 | + | 0.562684i | ||||
\(880\) | 883660. | + | 1.10807e6i | 0.0384661 | + | 0.0482350i | ||||
\(881\) | 2.97373e6 | − | 1.30288e7i | 0.129081 | − | 0.565541i | −0.868479 | − | 0.495726i | \(-0.834902\pi\) |
0.997560 | − | 0.0698149i | \(-0.0222409\pi\) | |||||||
\(882\) | −1.92615e7 | −0.833716 | ||||||||
\(883\) | −9.29521e6 | + | 4.07250e7i | −0.401197 | + | 1.75776i | 0.221368 | + | 0.975190i | \(0.428948\pi\) |
−0.622565 | + | 0.782568i | \(0.713909\pi\) | |||||||
\(884\) | 2.90367e7 | − | 1.39833e7i | 1.24973 | − | 0.601838i | ||||
\(885\) | −47636.4 | + | 22940.5i | −0.00204447 | + | 0.000984565i | ||||
\(886\) | 3.85524e6 | − | 1.68909e7i | 0.164993 | − | 0.722883i | ||||
\(887\) | 1.93468e6 | 0.0825659 | 0.0412830 | − | 0.999147i | \(-0.486855\pi\) | ||||
0.0412830 | + | 0.999147i | \(0.486855\pi\) | |||||||
\(888\) | 5.91858e6 | − | 2.59310e7i | 0.251875 | − | 1.10354i | ||||
\(889\) | −1.34184e6 | − | 1.68262e6i | −0.0569439 | − | 0.0714054i | ||||
\(890\) | −2.75703e6 | − | 1.20793e7i | −0.116672 | − | 0.511173i | ||||
\(891\) | −1.08406e6 | − | 4.74958e6i | −0.0457467 | − | 0.200429i | ||||
\(892\) | 1.31176e7 | − | 1.64490e7i | 0.552005 | − | 0.692192i | ||||
\(893\) | 1.20192e7 | − | 5.78816e6i | 0.504369 | − | 0.242891i | ||||
\(894\) | 1.92701e7 | + | 9.28001e6i | 0.806383 | + | 0.388333i | ||||
\(895\) | −6.19227e6 | − | 7.76486e6i | −0.258400 | − | 0.324023i | ||||
\(896\) | −1.31249e6 | + | 1.64582e6i | −0.0546170 | + | 0.0684875i | ||||
\(897\) | −2.23043e6 | − | 1.07412e6i | −0.0925567 | − | 0.0445730i | ||||
\(898\) | 3.27602e7 | 1.35568 | ||||||||
\(899\) | 1.35578e7 | − | 7.77269e6i | 0.559488 | − | 0.320754i | ||||
\(900\) | 1.93246e7 | 0.795252 | ||||||||
\(901\) | −2.26288e6 | − | 1.08975e6i | −0.0928645 | − | 0.0447212i | ||||
\(902\) | −1.42888e6 | + | 1.79175e6i | −0.0584760 | + | 0.0733266i | ||||
\(903\) | 981154. | + | 1.23033e6i | 0.0400422 | + | 0.0502113i | ||||
\(904\) | −3.60756e7 | − | 1.73731e7i | −1.46823 | − | 0.707060i | ||||
\(905\) | 1.76160e6 | − | 848344.i | 0.0714969 | − | 0.0344311i | ||||
\(906\) | 9.87942e6 | − | 1.23884e7i | 0.399863 | − | 0.501412i | ||||
\(907\) | 1.01799e6 | + | 4.46012e6i | 0.0410891 | + | 0.180023i | 0.991308 | − | 0.131559i | \(-0.0419983\pi\) |
−0.950219 | + | 0.311582i | \(0.899141\pi\) | |||||||
\(908\) | 4.26616e6 | + | 1.86913e7i | 0.171721 | + | 0.752357i | ||||
\(909\) | 2.31446e6 | + | 2.90224e6i | 0.0929052 | + | 0.116499i | ||||
\(910\) | −155823. | + | 682706.i | −0.00623776 | + | 0.0273294i | ||||
\(911\) | 3.71598e6 | 0.148346 | 0.0741732 | − | 0.997245i | \(-0.476368\pi\) | ||||
0.0741732 | + | 0.997245i | \(0.476368\pi\) | |||||||
\(912\) | 430667. | − | 1.88688e6i | 0.0171457 | − | 0.0751201i | ||||
\(913\) | −1.54716e7 | + | 7.45074e6i | −0.614269 | + | 0.295817i | ||||
\(914\) | 5.80197e7 | − | 2.79408e7i | 2.29726 | − | 1.10630i | ||||
\(915\) | −473069. | + | 2.07265e6i | −0.0186798 | + | 0.0818415i | ||||
\(916\) | −9.07736e6 | −0.357455 | ||||||||
\(917\) | 370291. | − | 1.62235e6i | 0.0145419 | − | 0.0637121i | ||||
\(918\) | −1.94428e7 | − | 2.43805e7i | −0.761468 | − | 0.954850i | ||||
\(919\) | 3.03461e6 | + | 1.32955e7i | 0.118526 | + | 0.519297i | 0.998980 | + | 0.0451643i | \(0.0143811\pi\) |
−0.880453 | + | 0.474133i | \(0.842762\pi\) | |||||||
\(920\) | −255357. | − | 1.11879e6i | −0.00994670 | − | 0.0435793i | ||||
\(921\) | −1.48435e7 | + | 1.86132e7i | −0.576618 | + | 0.723057i | ||||
\(922\) | −7.27461e7 | + | 3.50327e7i | −2.81827 | + | 1.35721i | ||||
\(923\) | 2.81122e7 | + | 1.35381e7i | 1.08615 | + | 0.523063i | ||||
\(924\) | −846031. | − | 1.06089e6i | −0.0325991 | − | 0.0408780i | ||||
\(925\) | 2.00731e7 | − | 2.51708e7i | 0.771364 | − | 0.967260i | ||||
\(926\) | −1.01566e7 | − | 4.89116e6i | −0.389243 | − | 0.187450i | ||||
\(927\) | −1.19373e7 | −0.456255 | ||||||||
\(928\) | 6.07349e6 | + | 1.99047e7i | 0.231509 | + | 0.758726i | ||||
\(929\) | −1.50420e7 | −0.571830 | −0.285915 | − | 0.958255i | \(-0.592297\pi\) | ||||
−0.285915 | + | 0.958255i | \(0.592297\pi\) | |||||||
\(930\) | 5.26073e6 | + | 2.53343e6i | 0.199452 | + | 0.0960511i | ||||
\(931\) | −7.53426e6 | + | 9.44767e6i | −0.284883 | + | 0.357232i | ||||
\(932\) | −1.73287e7 | − | 2.17295e7i | −0.653470 | − | 0.819426i | ||||
\(933\) | −2.82936e7 | − | 1.36255e7i | −1.06411 | − | 0.512446i | ||||
\(934\) | 4.23554e7 | − | 2.03973e7i | 1.58870 | − | 0.765078i | ||||
\(935\) | 3.00404e6 | − | 3.76694e6i | 0.112377 | − | 0.140916i | ||||
\(936\) | 4.13812e6 | + | 1.81303e7i | 0.154388 | + | 0.676417i | ||||
\(937\) | −1.67537e6 | − | 7.34029e6i | −0.0623394 | − | 0.273127i | 0.934146 | − | 0.356890i | \(-0.116163\pi\) |
−0.996486 | + | 0.0837636i | \(0.973306\pi\) | |||||||
\(938\) | 769464. | + | 964877.i | 0.0285549 | + | 0.0358067i | ||||
\(939\) | 3.37681e6 | − | 1.47948e7i | 0.124981 | − | 0.547576i | ||||
\(940\) | 1.68792e7 | 0.623063 | ||||||||
\(941\) | −1.38724e6 | + | 6.07790e6i | −0.0510714 | + | 0.223758i | −0.994023 | − | 0.109172i | \(-0.965180\pi\) |
0.942952 | + | 0.332930i | \(0.108037\pi\) | |||||||
\(942\) | −3.58307e7 | + | 1.72552e7i | −1.31561 | + | 0.633566i | ||||
\(943\) | 204302. | − | 98386.8i | 0.00748159 | − | 0.00360295i | ||||
\(944\) | −15910.7 | + | 69709.3i | −0.000581111 | + | 0.00254601i | ||||
\(945\) | 428504. | 0.0156090 | ||||||||
\(946\) | −1.61321e7 | + | 7.06794e7i | −0.586089 | + | 2.56782i | ||||
\(947\) | 1.73875e7 | + | 2.18033e7i | 0.630033 | + | 0.790036i | 0.989717 | − | 0.143038i | \(-0.0456871\pi\) |
−0.359685 | + | 0.933074i | \(0.617116\pi\) | |||||||
\(948\) | 1.08376e7 | + | 4.74827e7i | 0.391663 | + | 1.71599i | ||||
\(949\) | −1.26760e7 | − | 5.55370e7i | −0.456894 | − | 2.00178i | ||||
\(950\) | 1.19525e7 | − | 1.49880e7i | 0.429686 | − | 0.538810i | ||||
\(951\) | 1.03578e7 | − | 4.98807e6i | 0.371380 | − | 0.178847i | ||||
\(952\) | −1.04276e6 | − | 502167.i | −0.0372900 | − | 0.0179579i | ||||
\(953\) | 1.32326e7 | + | 1.65931e7i | 0.471968 | + | 0.591829i | 0.959652 | − | 0.281191i | \(-0.0907295\pi\) |
−0.487684 | + | 0.873020i | \(0.662158\pi\) | |||||||
\(954\) | 2.15781e6 | − | 2.70580e6i | 0.0767611 | − | 0.0962554i | ||||
\(955\) | −2.98398e6 | − | 1.43701e6i | −0.105873 | − | 0.0509860i | ||||
\(956\) | −3.72497e6 | −0.131819 | ||||||||
\(957\) | −1.72529e7 | + | 1.24014e6i | −0.608952 | + | 0.0437713i | ||||
\(958\) | −6.49965e7 | −2.28811 | ||||||||
\(959\) | −1.07949e6 | − | 519856.i | −0.0379030 | − | 0.0182531i | ||||
\(960\) | −5.73533e6 | + | 7.19188e6i | −0.200854 | + | 0.251863i | ||||
\(961\) | −1.04260e7 | − | 1.30738e7i | −0.364174 | − | 0.456660i | ||||
\(962\) | 6.66579e7 | + | 3.21007e7i | 2.32228 | + | 1.11835i | ||||
\(963\) | −4.90704e6 | + | 2.36311e6i | −0.170512 | + | 0.0821141i | ||||
\(964\) | −2.57091e7 | + | 3.22382e7i | −0.891034 | + | 1.11732i | ||||
\(965\) | 3.41050e6 | + | 1.49424e7i | 0.117896 | + | 0.516537i | ||||
\(966\) | 47241.6 | + | 206979.i | 0.00162885 | + | 0.00713647i | ||||
\(967\) | 2.19830e7 | + | 2.75659e7i | 0.755999 | + | 0.947993i | 0.999761 | − | 0.0218418i | \(-0.00695302\pi\) |
−0.243762 | + | 0.969835i | \(0.578382\pi\) | |||||||
\(968\) | −1.88370e6 | + | 8.25303e6i | −0.0646135 | + | 0.283090i | ||||
\(969\) | −6.57947e6 | −0.225103 | ||||||||
\(970\) | −5.44116e6 | + | 2.38393e7i | −0.185679 | + | 0.813511i | ||||
\(971\) | 2.85378e7 | − | 1.37431e7i | 0.971344 | − | 0.467774i | 0.120224 | − | 0.992747i | \(-0.461639\pi\) |
0.851119 | + | 0.524972i | \(0.175924\pi\) | |||||||
\(972\) | 4.07328e7 | − | 1.96159e7i | 1.38286 | − | 0.665950i | ||||
\(973\) | −134915. | + | 591100.i | −0.00456854 | + | 0.0200161i | ||||
\(974\) | −1.10939e7 | −0.374703 | ||||||||
\(975\) | 4.87587e6 | − | 2.13626e7i | 0.164263 | − | 0.719685i | ||||
\(976\) | 1.79255e6 | + | 2.24779e6i | 0.0602348 | + | 0.0755320i | ||||
\(977\) | 3.33511e6 | + | 1.46121e7i | 0.111783 | + | 0.489751i | 0.999565 | + | 0.0294883i | \(0.00938776\pi\) |
−0.887783 | + | 0.460263i | \(0.847755\pi\) | |||||||
\(978\) | 2.74148e6 | + | 1.20112e7i | 0.0916512 | + | 0.401550i | ||||
\(979\) | −1.74363e7 | + | 2.18644e7i | −0.581430 | + | 0.729090i | ||||
\(980\) | −1.37755e7 | + | 6.63391e6i | −0.458185 | + | 0.220650i | ||||
\(981\) | 1.50481e7 | + | 7.24680e6i | 0.499241 | + | 0.240422i | ||||
\(982\) | −3.97728e7 | − | 4.98735e7i | −1.31616 | − | 1.65041i | ||||
\(983\) | 3.76074e7 | − | 4.71582e7i | 1.24134 | − | 1.55659i | 0.546366 | − | 0.837547i | \(-0.316011\pi\) |
0.694970 | − | 0.719039i | \(-0.255418\pi\) | |||||||
\(984\) | 1.49396e6 | + | 719452.i | 0.0491870 | + | 0.0236872i | ||||
\(985\) | −5.39251e6 | −0.177093 | ||||||||
\(986\) | −3.05652e7 | + | 1.75230e7i | −1.00123 | + | 0.574006i | ||||
\(987\) | −1.30765e6 | −0.0427266 | ||||||||
\(988\) | 2.51015e7 | + | 1.20883e7i | 0.818103 | + | 0.393977i | ||||
\(989\) | 4.47248e6 | − | 5.60831e6i | 0.145398 | − | 0.182323i | ||||
\(990\) | 4.13939e6 | + | 5.19063e6i | 0.134230 | + | 0.168319i | ||||
\(991\) | 2.05406e7 | + | 9.89185e6i | 0.664400 | + | 0.319958i | 0.735514 | − | 0.677510i | \(-0.236941\pi\) |
−0.0711135 | + | 0.997468i | \(0.522655\pi\) | |||||||
\(992\) | −1.42858e7 | + | 6.87967e6i | −0.460919 | + | 0.221967i | ||||
\(993\) | 4.94930e6 | − | 6.20623e6i | 0.159284 | − | 0.199735i | ||||
\(994\) | −595430. | − | 2.60875e6i | −0.0191146 | − | 0.0837464i | ||||
\(995\) | 443339. | + | 1.94239e6i | 0.0141964 | + | 0.0621984i | ||||
\(996\) | 1.84993e7 | + | 2.31974e7i | 0.590890 | + | 0.740953i | ||||
\(997\) | −4.91320e6 | + | 2.15261e7i | −0.156541 | + | 0.685849i | 0.834356 | + | 0.551226i | \(0.185840\pi\) |
−0.990897 | + | 0.134623i | \(0.957018\pi\) | |||||||
\(998\) | 3.82791e7 | 1.21656 | ||||||||
\(999\) | 1.00741e7 | − | 4.41375e7i | 0.319369 | − | 1.39925i |
(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 | 29.6.d.a.16.11 | ✓ | 66 | |
29.7 | even | 7 | 841.6.a.i.1.3 | 33 | |||
29.20 | even | 7 | inner | 29.6.d.a.20.11 | yes | 66 | |
29.22 | even | 14 | 841.6.a.h.1.31 | 33 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.16.11 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.20.11 | yes | 66 | 29.20 | even | 7 | inner | |
841.6.a.h.1.31 | 33 | 29.22 | even | 14 | |||
841.6.a.i.1.3 | 33 | 29.7 | even | 7 |