Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), 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: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 27.4 |
Dual form | 27.6.e.a.7.4 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.55790 | − | 2.02291i | −0.982507 | − | 0.357603i | −0.199692 | − | 0.979859i | \(-0.563994\pi\) |
−0.782814 | + | 0.622255i | \(0.786217\pi\) | |||||||
\(3\) | −15.5209 | − | 1.44989i | −0.995665 | − | 0.0930102i | ||||
\(4\) | 2.28464 | + | 1.91704i | 0.0713950 | + | 0.0599075i | ||||
\(5\) | −3.90711 | + | 22.1583i | −0.0698925 | + | 0.396380i | 0.929713 | + | 0.368286i | \(0.120055\pi\) |
−0.999605 | + | 0.0280948i | \(0.991056\pi\) | |||||||
\(6\) | 83.3305 | + | 39.4557i | 0.944987 | + | 0.447436i | ||||
\(7\) | 69.5798 | − | 58.3844i | 0.536708 | − | 0.450351i | −0.333702 | − | 0.942678i | \(-0.608298\pi\) |
0.870410 | + | 0.492327i | \(0.163854\pi\) | |||||||
\(8\) | 85.8137 | + | 148.634i | 0.474058 | + | 0.821093i | ||||
\(9\) | 238.796 | + | 45.0070i | 0.982698 | + | 0.185214i | ||||
\(10\) | 66.5396 | − | 115.250i | 0.210417 | − | 0.364453i | ||||
\(11\) | 47.2935 | + | 268.215i | 0.117847 | + | 0.668345i | 0.985301 | + | 0.170827i | \(0.0546440\pi\) |
−0.867454 | + | 0.497518i | \(0.834245\pi\) | |||||||
\(12\) | −32.6801 | − | 33.0666i | −0.0655135 | − | 0.0662883i | ||||
\(13\) | 263.041 | − | 95.7391i | 0.431683 | − | 0.157120i | −0.117034 | − | 0.993128i | \(-0.537339\pi\) |
0.548717 | + | 0.836008i | \(0.315116\pi\) | |||||||
\(14\) | −504.823 | + | 183.741i | −0.688366 | + | 0.250545i | ||||
\(15\) | 92.7689 | − | 338.252i | 0.106457 | − | 0.388161i | ||||
\(16\) | −192.844 | − | 1093.67i | −0.188324 | − | 1.06804i | ||||
\(17\) | −736.555 | + | 1275.75i | −0.618135 | + | 1.07064i | 0.371691 | + | 0.928356i | \(0.378778\pi\) |
−0.989826 | + | 0.142284i | \(0.954555\pi\) | |||||||
\(18\) | −1236.16 | − | 733.206i | −0.899274 | − | 0.533390i | ||||
\(19\) | 121.121 | + | 209.787i | 0.0769723 | + | 0.133320i | 0.901942 | − | 0.431857i | \(-0.142141\pi\) |
−0.824970 | + | 0.565177i | \(0.808808\pi\) | |||||||
\(20\) | −51.4047 | + | 43.1337i | −0.0287361 | + | 0.0241125i | ||||
\(21\) | −1164.59 | + | 805.294i | −0.576268 | + | 0.398480i | ||||
\(22\) | 279.722 | − | 1586.38i | 0.123217 | − | 0.698796i | ||||
\(23\) | −101.784 | − | 85.4070i | −0.0401200 | − | 0.0336646i | 0.622507 | − | 0.782614i | \(-0.286114\pi\) |
−0.662627 | + | 0.748949i | \(0.730559\pi\) | |||||||
\(24\) | −1116.40 | − | 2431.35i | −0.395633 | − | 0.861625i | ||||
\(25\) | 2460.81 | + | 895.663i | 0.787460 | + | 0.286612i | ||||
\(26\) | −1655.63 | −0.480318 | ||||||||
\(27\) | −3641.06 | − | 1044.77i | −0.961212 | − | 0.275812i | ||||
\(28\) | 270.890 | 0.0652976 | ||||||||
\(29\) | 7780.54 | + | 2831.88i | 1.71797 | + | 0.625289i | 0.997660 | − | 0.0683681i | \(-0.0217792\pi\) |
0.720306 | + | 0.693657i | \(0.244001\pi\) | |||||||
\(30\) | −1199.85 | + | 1692.31i | −0.243402 | + | 0.343302i | ||||
\(31\) | 5831.61 | + | 4893.30i | 1.08989 | + | 0.914530i | 0.996704 | − | 0.0811185i | \(-0.0258492\pi\) |
0.0931898 | + | 0.995648i | \(0.470294\pi\) | |||||||
\(32\) | −186.902 | + | 1059.97i | −0.0322655 | + | 0.182987i | ||||
\(33\) | −345.156 | − | 4231.50i | −0.0551735 | − | 0.676409i | ||||
\(34\) | 6674.43 | − | 5600.51i | 0.990186 | − | 0.830865i | ||||
\(35\) | 1021.84 | + | 1769.89i | 0.140999 | + | 0.244217i | ||||
\(36\) | 459.282 | + | 560.605i | 0.0590640 | + | 0.0720943i | ||||
\(37\) | −5732.04 | + | 9928.18i | −0.688343 | + | 1.19224i | 0.284031 | + | 0.958815i | \(0.408328\pi\) |
−0.972374 | + | 0.233429i | \(0.925005\pi\) | |||||||
\(38\) | −248.796 | − | 1410.99i | −0.0279502 | − | 0.158513i | ||||
\(39\) | −4221.44 | + | 1104.58i | −0.444426 | + | 0.116288i | ||||
\(40\) | −3628.76 | + | 1320.76i | −0.358598 | + | 0.130519i | ||||
\(41\) | −5445.05 | + | 1981.84i | −0.505874 | + | 0.184123i | −0.582334 | − | 0.812950i | \(-0.697860\pi\) |
0.0764603 | + | 0.997073i | \(0.475638\pi\) | |||||||
\(42\) | 8101.71 | − | 2119.88i | 0.708685 | − | 0.185434i | ||||
\(43\) | −3076.71 | − | 17448.9i | −0.253755 | − | 1.43912i | −0.799247 | − | 0.601003i | \(-0.794768\pi\) |
0.545492 | − | 0.838116i | \(-0.316343\pi\) | |||||||
\(44\) | −406.129 | + | 703.437i | −0.0316252 | + | 0.0547764i | ||||
\(45\) | −1930.28 | + | 5115.47i | −0.142098 | + | 0.376577i | ||||
\(46\) | 392.935 | + | 680.584i | 0.0273796 | + | 0.0474228i | ||||
\(47\) | 9830.35 | − | 8248.65i | 0.649119 | − | 0.544676i | −0.257684 | − | 0.966229i | \(-0.582959\pi\) |
0.906804 | + | 0.421553i | \(0.138515\pi\) | |||||||
\(48\) | 1407.41 | + | 17254.3i | 0.0881691 | + | 1.08092i | ||||
\(49\) | −1485.89 | + | 8426.92i | −0.0884092 | + | 0.501394i | ||||
\(50\) | −11865.1 | − | 9956.00i | −0.671192 | − | 0.563197i | ||||
\(51\) | 13281.7 | − | 18732.9i | 0.715036 | − | 1.00851i | ||||
\(52\) | 784.489 | + | 285.531i | 0.0402327 | + | 0.0146435i | ||||
\(53\) | −19826.8 | −0.969532 | −0.484766 | − | 0.874644i | \(-0.661095\pi\) | ||||
−0.484766 | + | 0.874644i | \(0.661095\pi\) | |||||||
\(54\) | 18123.2 | + | 13172.3i | 0.845766 | + | 0.614720i | ||||
\(55\) | −6127.97 | −0.273155 | ||||||||
\(56\) | 14648.8 | + | 5331.72i | 0.624211 | + | 0.227194i | ||||
\(57\) | −1575.73 | − | 3431.69i | −0.0642385 | − | 0.139901i | ||||
\(58\) | −37514.8 | − | 31478.6i | −1.46431 | − | 1.22870i | ||||
\(59\) | −2930.29 | + | 16618.5i | −0.109592 | + | 0.621530i | 0.879694 | + | 0.475541i | \(0.157748\pi\) |
−0.989286 | + | 0.145989i | \(0.953364\pi\) | |||||||
\(60\) | 860.386 | − | 594.942i | 0.0308543 | − | 0.0213352i | ||||
\(61\) | −4754.68 | + | 3989.65i | −0.163605 | + | 0.137281i | −0.720915 | − | 0.693024i | \(-0.756278\pi\) |
0.557310 | + | 0.830305i | \(0.311834\pi\) | |||||||
\(62\) | −22512.8 | − | 38993.3i | −0.743790 | − | 1.28828i | ||||
\(63\) | 19243.1 | − | 10810.4i | 0.610833 | − | 0.343154i | ||||
\(64\) | −14585.7 | + | 25263.1i | −0.445119 | + | 0.770969i | ||||
\(65\) | 1093.69 | + | 6202.61i | 0.0321078 | + | 0.182092i | ||||
\(66\) | −6641.59 | + | 24216.4i | −0.187678 | + | 0.684306i | ||||
\(67\) | −21549.3 | + | 7843.29i | −0.586470 | + | 0.213457i | −0.618176 | − | 0.786040i | \(-0.712128\pi\) |
0.0317063 | + | 0.999497i | \(0.489906\pi\) | |||||||
\(68\) | −4128.43 | + | 1502.63i | −0.108271 | + | 0.0394075i | ||||
\(69\) | 1455.95 | + | 1473.17i | 0.0368149 | + | 0.0372503i | ||||
\(70\) | −2098.99 | − | 11903.9i | −0.0511994 | − | 0.290366i | ||||
\(71\) | 22448.7 | − | 38882.4i | 0.528502 | − | 0.915391i | −0.470946 | − | 0.882162i | \(-0.656087\pi\) |
0.999448 | − | 0.0332295i | \(-0.0105792\pi\) | |||||||
\(72\) | 13802.4 | + | 39355.3i | 0.313778 | + | 0.894688i | ||||
\(73\) | 32058.0 | + | 55526.1i | 0.704092 | + | 1.21952i | 0.967018 | + | 0.254707i | \(0.0819791\pi\) |
−0.262926 | + | 0.964816i | \(0.584688\pi\) | |||||||
\(74\) | 51941.9 | − | 43584.4i | 1.10265 | − | 0.925235i | ||||
\(75\) | −36895.4 | − | 17469.4i | −0.757389 | − | 0.358611i | ||||
\(76\) | −125.453 | + | 711.481i | −0.00249143 | + | 0.0141296i | ||||
\(77\) | 18950.2 | + | 15901.1i | 0.364240 | + | 0.305633i | ||||
\(78\) | 25696.8 | + | 2400.47i | 0.478236 | + | 0.0446745i | ||||
\(79\) | 95268.0 | + | 34674.7i | 1.71743 | + | 0.625094i | 0.997612 | − | 0.0690671i | \(-0.0220022\pi\) |
0.719820 | + | 0.694161i | \(0.244224\pi\) | |||||||
\(80\) | 24987.4 | 0.436511 | ||||||||
\(81\) | 54997.7 | + | 21495.0i | 0.931392 | + | 0.364019i | ||||
\(82\) | 34272.1 | 0.562867 | ||||||||
\(83\) | −9484.75 | − | 3452.17i | −0.151123 | − | 0.0550043i | 0.265351 | − | 0.964152i | \(-0.414512\pi\) |
−0.416474 | + | 0.909148i | \(0.636734\pi\) | |||||||
\(84\) | −4204.45 | − | 392.759i | −0.0650146 | − | 0.00607334i | ||||
\(85\) | −25390.7 | − | 21305.3i | −0.381178 | − | 0.319846i | ||||
\(86\) | −18197.5 | + | 103203.i | −0.265317 | + | 1.50469i | ||||
\(87\) | −116655. | − | 55234.2i | −1.65236 | − | 0.782366i | ||||
\(88\) | −35807.3 | + | 30045.9i | −0.492907 | + | 0.413598i | ||||
\(89\) | −22900.3 | − | 39664.6i | −0.306455 | − | 0.530796i | 0.671129 | − | 0.741341i | \(-0.265810\pi\) |
−0.977584 | + | 0.210545i | \(0.932476\pi\) | |||||||
\(90\) | 21076.4 | − | 24526.5i | 0.274278 | − | 0.319175i | ||||
\(91\) | 12712.7 | − | 22019.0i | 0.160929 | − | 0.278736i | ||||
\(92\) | −68.8113 | − | 390.248i | −0.000847599 | − | 0.00480697i | ||||
\(93\) | −83417.0 | − | 84403.6i | −1.00011 | − | 1.01194i | ||||
\(94\) | −71322.4 | + | 25959.2i | −0.832542 | + | 0.303020i | ||||
\(95\) | −5121.77 | + | 1864.17i | −0.0582252 | + | 0.0211922i | ||||
\(96\) | 4437.72 | − | 16180.7i | 0.0491453 | − | 0.179193i | ||||
\(97\) | −24215.3 | − | 137332.i | −0.261312 | − | 1.48198i | −0.779334 | − | 0.626608i | \(-0.784443\pi\) |
0.518022 | − | 0.855367i | \(-0.326669\pi\) | |||||||
\(98\) | 25305.3 | − | 43830.1i | 0.266163 | − | 0.461007i | ||||
\(99\) | −778.057 | + | 66177.0i | −0.00797854 | + | 0.678608i | ||||
\(100\) | 3905.05 | + | 6763.74i | 0.0390505 | + | 0.0676374i | ||||
\(101\) | −122748. | + | 102998.i | −1.19732 | + | 1.00467i | −0.197618 | + | 0.980279i | \(0.563321\pi\) |
−0.999702 | + | 0.0243922i | \(0.992235\pi\) | |||||||
\(102\) | −111713. | + | 77247.7i | −1.06317 | + | 0.735166i | ||||
\(103\) | 15331.6 | − | 86949.9i | 0.142395 | − | 0.807562i | −0.827027 | − | 0.562162i | \(-0.809970\pi\) |
0.969422 | − | 0.245400i | \(-0.0789193\pi\) | |||||||
\(104\) | 36802.6 | + | 30881.0i | 0.333653 | + | 0.279968i | ||||
\(105\) | −13293.8 | − | 28951.8i | −0.117673 | − | 0.256272i | ||||
\(106\) | 110195. | + | 40107.7i | 0.952572 | + | 0.346708i | ||||
\(107\) | −88915.7 | −0.750791 | −0.375396 | − | 0.926865i | \(-0.622493\pi\) | ||||
−0.375396 | + | 0.926865i | \(0.622493\pi\) | |||||||
\(108\) | −6315.64 | − | 9367.00i | −0.0521025 | − | 0.0772754i | ||||
\(109\) | 105032. | 0.846748 | 0.423374 | − | 0.905955i | \(-0.360846\pi\) | ||||
0.423374 | + | 0.905955i | \(0.360846\pi\) | |||||||
\(110\) | 34058.6 | + | 12396.3i | 0.268377 | + | 0.0976813i | ||||
\(111\) | 103361. | − | 145783.i | 0.796250 | − | 1.12305i | ||||
\(112\) | −77271.2 | − | 64838.3i | −0.582067 | − | 0.488412i | ||||
\(113\) | −27098.5 | + | 153683.i | −0.199641 | + | 1.13222i | 0.706013 | + | 0.708199i | \(0.250492\pi\) |
−0.905653 | + | 0.424019i | \(0.860619\pi\) | |||||||
\(114\) | 1815.76 | + | 22260.6i | 0.0130857 | + | 0.160426i | ||||
\(115\) | 2290.16 | − | 1921.67i | 0.0161481 | − | 0.0135499i | ||||
\(116\) | 12346.9 | + | 21385.4i | 0.0851947 | + | 0.147561i | ||||
\(117\) | 67122.0 | − | 11023.4i | 0.453315 | − | 0.0744476i | ||||
\(118\) | 49904.0 | − | 86436.2i | 0.329936 | − | 0.571467i | ||||
\(119\) | 23234.6 | + | 131770.i | 0.150407 | + | 0.852999i | ||||
\(120\) | 58236.5 | − | 15238.1i | 0.369183 | − | 0.0966000i | ||||
\(121\) | 81636.0 | − | 29713.1i | 0.506896 | − | 0.184495i | ||||
\(122\) | 34496.7 | − | 12555.8i | 0.209835 | − | 0.0763737i | ||||
\(123\) | 87385.4 | − | 22865.1i | 0.520806 | − | 0.136273i | ||||
\(124\) | 3942.47 | + | 22358.9i | 0.0230258 | + | 0.130586i | ||||
\(125\) | −64617.6 | + | 111921.i | −0.369893 | + | 0.640673i | ||||
\(126\) | −128819. | + | 21155.9i | −0.722860 | + | 0.118715i | ||||
\(127\) | 23223.5 | + | 40224.3i | 0.127767 | + | 0.221299i | 0.922811 | − | 0.385253i | \(-0.125886\pi\) |
−0.795044 | + | 0.606551i | \(0.792552\pi\) | |||||||
\(128\) | 158555. | − | 133043.i | 0.855372 | − | 0.717742i | ||||
\(129\) | 22454.4 | + | 275283.i | 0.118803 | + | 1.45648i | ||||
\(130\) | 6468.72 | − | 36685.9i | 0.0335707 | − | 0.190389i | ||||
\(131\) | −189429. | − | 158950.i | −0.964427 | − | 0.809250i | 0.0172406 | − | 0.999851i | \(-0.494512\pi\) |
−0.981668 | + | 0.190601i | \(0.938956\pi\) | |||||||
\(132\) | 7323.39 | − | 10329.1i | 0.0365828 | − | 0.0515975i | ||||
\(133\) | 20675.8 | + | 7525.39i | 0.101352 | + | 0.0368893i | ||||
\(134\) | 135635. | 0.652543 | ||||||||
\(135\) | 37376.5 | − | 76597.9i | 0.176508 | − | 0.361728i | ||||
\(136\) | −252826. | −1.17213 | ||||||||
\(137\) | 37319.2 | + | 13583.1i | 0.169875 | + | 0.0618296i | 0.425558 | − | 0.904931i | \(-0.360078\pi\) |
−0.255682 | + | 0.966761i | \(0.582300\pi\) | |||||||
\(138\) | −5111.93 | − | 11133.0i | −0.0228501 | − | 0.0497638i | ||||
\(139\) | 297276. | + | 249445.i | 1.30504 | + | 1.09506i | 0.989251 | + | 0.146228i | \(0.0467134\pi\) |
0.315788 | + | 0.948830i | \(0.397731\pi\) | |||||||
\(140\) | −1058.40 | + | 6002.47i | −0.00456382 | + | 0.0258827i | ||||
\(141\) | −164535. | + | 113773.i | −0.696966 | + | 0.481940i | ||||
\(142\) | −203423. | + | 170692.i | −0.846603 | + | 0.710384i | ||||
\(143\) | 38118.7 | + | 66023.6i | 0.155883 | + | 0.269997i | ||||
\(144\) | 3172.60 | − | 269843.i | 0.0127500 | − | 1.08444i | ||||
\(145\) | −93149.3 | + | 161339.i | −0.367925 | + | 0.637265i | ||||
\(146\) | −65850.9 | − | 373459.i | −0.255670 | − | 1.44998i | ||||
\(147\) | 35280.5 | − | 128639.i | 0.134661 | − | 0.490997i | ||||
\(148\) | −32128.3 | + | 11693.8i | −0.120569 | + | 0.0438834i | ||||
\(149\) | 469863. | − | 171016.i | 1.73382 | − | 0.631061i | 0.734933 | − | 0.678139i | \(-0.237213\pi\) |
0.998891 | + | 0.0470788i | \(0.0149912\pi\) | |||||||
\(150\) | 169722. | + | 171729.i | 0.615899 | + | 0.623183i | ||||
\(151\) | −54044.9 | − | 306504.i | −0.192891 | − | 1.09394i | −0.915390 | − | 0.402568i | \(-0.868118\pi\) |
0.722499 | − | 0.691372i | \(-0.242993\pi\) | |||||||
\(152\) | −20787.6 | + | 36005.2i | −0.0729787 | + | 0.126403i | ||||
\(153\) | −233304. | + | 271494.i | −0.805738 | + | 0.937630i | ||||
\(154\) | −73156.8 | − | 126711.i | −0.248572 | − | 0.430540i | ||||
\(155\) | −131212. | + | 110100.i | −0.438677 | + | 0.368094i | ||||
\(156\) | −11762.0 | − | 5569.11i | −0.0386963 | − | 0.0183221i | ||||
\(157\) | −65481.3 | + | 371363.i | −0.212016 | + | 1.20240i | 0.673995 | + | 0.738736i | \(0.264577\pi\) |
−0.886010 | + | 0.463665i | \(0.846534\pi\) | |||||||
\(158\) | −459346. | − | 385437.i | −1.46385 | − | 1.22832i | ||||
\(159\) | 307729. | + | 28746.5i | 0.965329 | + | 0.0901763i | ||||
\(160\) | −22757.0 | − | 8282.87i | −0.0702773 | − | 0.0255788i | ||||
\(161\) | −12068.6 | −0.0366936 | ||||||||
\(162\) | −262189. | − | 230722.i | −0.784924 | − | 0.690720i | ||||
\(163\) | −184937. | −0.545198 | −0.272599 | − | 0.962128i | \(-0.587883\pi\) | ||||
−0.272599 | + | 0.962128i | \(0.587883\pi\) | |||||||
\(164\) | −16239.2 | − | 5910.59i | −0.0471472 | − | 0.0171602i | ||||
\(165\) | 95111.5 | + | 8884.85i | 0.271971 | + | 0.0254062i | ||||
\(166\) | 45731.8 | + | 38373.6i | 0.128810 | + | 0.108084i | ||||
\(167\) | 86830.0 | − | 492437.i | 0.240923 | − | 1.36634i | −0.588850 | − | 0.808242i | \(-0.700419\pi\) |
0.829773 | − | 0.558101i | \(-0.188470\pi\) | |||||||
\(168\) | −219632. | − | 103992.i | −0.600373 | − | 0.284267i | ||||
\(169\) | −224402. | + | 188296.i | −0.604381 | + | 0.507136i | ||||
\(170\) | 98020.3 | + | 169776.i | 0.260132 | + | 0.450562i | ||||
\(171\) | 19481.2 | + | 55547.6i | 0.0509478 | + | 0.145270i | ||||
\(172\) | 26421.0 | − | 45762.6i | 0.0680971 | − | 0.117948i | ||||
\(173\) | 5824.77 | + | 33033.9i | 0.0147966 | + | 0.0839159i | 0.991312 | − | 0.131533i | \(-0.0419898\pi\) |
−0.976515 | + | 0.215448i | \(0.930879\pi\) | |||||||
\(174\) | 536622. | + | 542968.i | 1.34368 | + | 1.35957i | ||||
\(175\) | 223516. | − | 81353.0i | 0.551712 | − | 0.200807i | ||||
\(176\) | 284218. | − | 103447.i | 0.691624 | − | 0.251730i | ||||
\(177\) | 69575.6 | − | 253685.i | 0.166926 | − | 0.608642i | ||||
\(178\) | 47040.0 | + | 266777.i | 0.111280 | + | 0.631100i | ||||
\(179\) | −71868.4 | + | 124480.i | −0.167651 | + | 0.290379i | −0.937593 | − | 0.347734i | \(-0.886951\pi\) |
0.769943 | + | 0.638113i | \(0.220285\pi\) | |||||||
\(180\) | −14216.5 | + | 7986.57i | −0.0327049 | + | 0.0183730i | ||||
\(181\) | −267616. | − | 463524.i | −0.607177 | − | 1.05166i | −0.991703 | − | 0.128548i | \(-0.958968\pi\) |
0.384526 | − | 0.923114i | \(-0.374365\pi\) | |||||||
\(182\) | −115198. | + | 96662.7i | −0.257790 | + | 0.216312i | ||||
\(183\) | 79581.3 | − | 55029.1i | 0.175664 | − | 0.121469i | ||||
\(184\) | 3959.89 | − | 22457.6i | 0.00862260 | − | 0.0489012i | ||||
\(185\) | −197596. | − | 165803.i | −0.424472 | − | 0.356175i | ||||
\(186\) | 292883. | + | 637851.i | 0.620742 | + | 1.35188i | ||||
\(187\) | −377009. | − | 137220.i | −0.788403 | − | 0.286955i | ||||
\(188\) | 38271.8 | 0.0789740 | ||||||||
\(189\) | −314343. | + | 139886.i | −0.640102 | + | 0.284852i | ||||
\(190\) | 32237.3 | 0.0647851 | ||||||||
\(191\) | −400202. | − | 145662.i | −0.793773 | − | 0.288910i | −0.0868692 | − | 0.996220i | \(-0.527686\pi\) |
−0.706903 | + | 0.707310i | \(0.749908\pi\) | |||||||
\(192\) | 263011. | − | 370958.i | 0.514897 | − | 0.726226i | ||||
\(193\) | 73786.7 | + | 61914.4i | 0.142589 | + | 0.119646i | 0.711292 | − | 0.702897i | \(-0.248110\pi\) |
−0.568703 | + | 0.822543i | \(0.692555\pi\) | |||||||
\(194\) | −143223. | + | 812260.i | −0.273218 | + | 1.54950i | ||||
\(195\) | −7981.93 | − | 97855.8i | −0.0150322 | − | 0.184289i | ||||
\(196\) | −19549.5 | + | 16404.0i | −0.0363492 | + | 0.0305006i | ||||
\(197\) | 195151. | + | 338011.i | 0.358265 | + | 0.620534i | 0.987671 | − | 0.156543i | \(-0.0500349\pi\) |
−0.629406 | + | 0.777077i | \(0.716702\pi\) | |||||||
\(198\) | 138194. | − | 366231.i | 0.250511 | − | 0.663884i | ||||
\(199\) | 21457.6 | − | 37165.6i | 0.0384103 | − | 0.0665286i | −0.846181 | − | 0.532895i | \(-0.821104\pi\) |
0.884591 | + | 0.466367i | \(0.154437\pi\) | |||||||
\(200\) | 78045.8 | + | 442620.i | 0.137967 | + | 0.782448i | ||||
\(201\) | 345836. | − | 90490.9i | 0.603781 | − | 0.157985i | ||||
\(202\) | 890575. | − | 324143.i | 1.53565 | − | 0.558931i | ||||
\(203\) | 706706. | − | 257220.i | 1.20365 | − | 0.438091i | ||||
\(204\) | 66255.5 | − | 17336.3i | 0.111467 | − | 0.0291663i | ||||
\(205\) | −22639.8 | − | 128396.i | −0.0376259 | − | 0.213387i | ||||
\(206\) | −261103. | + | 452244.i | −0.428691 | + | 0.742515i | ||||
\(207\) | −20461.7 | − | 24975.8i | −0.0331907 | − | 0.0405130i | ||||
\(208\) | −155433. | − | 269217.i | −0.249106 | − | 0.431464i | ||||
\(209\) | −50539.8 | + | 42407.9i | −0.0800327 | + | 0.0671554i | ||||
\(210\) | 15318.8 | + | 187803.i | 0.0239704 | + | 0.293869i | ||||
\(211\) | −13546.9 | + | 76828.6i | −0.0209476 | + | 0.118800i | −0.993489 | − | 0.113932i | \(-0.963655\pi\) |
0.972541 | + | 0.232732i | \(0.0747665\pi\) | |||||||
\(212\) | −45297.0 | − | 38008.7i | −0.0692197 | − | 0.0580822i | ||||
\(213\) | −404799. | + | 570941.i | −0.611351 | + | 0.862267i | ||||
\(214\) | 494184. | + | 179868.i | 0.737657 | + | 0.268485i | ||||
\(215\) | 398659. | 0.588174 | ||||||||
\(216\) | −157164. | − | 630841.i | −0.229203 | − | 0.919995i | ||||
\(217\) | 691455. | 0.996814 | ||||||||
\(218\) | −583755. | − | 212470.i | −0.831936 | − | 0.302800i | ||||
\(219\) | −417062. | − | 908295.i | −0.587612 | − | 1.27972i | ||||
\(220\) | −14000.2 | − | 11747.6i | −0.0195019 | − | 0.0163641i | ||||
\(221\) | −71605.0 | + | 406092.i | −0.0986195 | + | 0.559299i | ||||
\(222\) | −869376. | + | 601159.i | −1.18393 | + | 0.818666i | ||||
\(223\) | 64786.7 | − | 54362.5i | 0.0872416 | − | 0.0732044i | −0.598124 | − | 0.801404i | \(-0.704087\pi\) |
0.685365 | + | 0.728199i | \(0.259642\pi\) | |||||||
\(224\) | 48881.3 | + | 84664.9i | 0.0650912 | + | 0.112741i | ||||
\(225\) | 547320. | + | 324634.i | 0.720751 | + | 0.427502i | ||||
\(226\) | 461498. | − | 799337.i | 0.601033 | − | 1.04102i | ||||
\(227\) | 23061.0 | + | 130786.i | 0.0297039 | + | 0.168459i | 0.996051 | − | 0.0887822i | \(-0.0282975\pi\) |
−0.966347 | + | 0.257242i | \(0.917186\pi\) | |||||||
\(228\) | 2978.71 | − | 10860.9i | 0.00379482 | − | 0.0138366i | ||||
\(229\) | −831897. | + | 302786.i | −1.04829 | + | 0.381546i | −0.808017 | − | 0.589160i | \(-0.799459\pi\) |
−0.240272 | + | 0.970706i | \(0.577237\pi\) | |||||||
\(230\) | −16615.8 | + | 6047.67i | −0.0207111 | + | 0.00753822i | ||||
\(231\) | −271069. | − | 274275.i | −0.334234 | − | 0.338186i | ||||
\(232\) | 246763. | + | 1.39946e6i | 0.300996 | + | 1.70703i | ||||
\(233\) | 573445. | − | 993236.i | 0.691994 | − | 1.19857i | −0.279190 | − | 0.960236i | \(-0.590066\pi\) |
0.971184 | − | 0.238332i | \(-0.0766008\pi\) | |||||||
\(234\) | −395356. | − | 74514.8i | −0.472008 | − | 0.0889616i | ||||
\(235\) | 144368. | + | 250053.i | 0.170530 | + | 0.295367i | ||||
\(236\) | −38553.0 | + | 32349.8i | −0.0450586 | + | 0.0378087i | ||||
\(237\) | −1.42837e6 | − | 676310.i | −1.65185 | − | 0.782123i | ||||
\(238\) | 137423. | − | 779365.i | 0.157260 | − | 0.891863i | ||||
\(239\) | −449946. | − | 377550.i | −0.509526 | − | 0.427543i | 0.351437 | − | 0.936212i | \(-0.385693\pi\) |
−0.860962 | + | 0.508669i | \(0.830138\pi\) | |||||||
\(240\) | −387826. | − | 36228.8i | −0.434619 | − | 0.0406000i | ||||
\(241\) | −1.27476e6 | − | 463973.i | −1.41379 | − | 0.514577i | −0.481548 | − | 0.876419i | \(-0.659925\pi\) |
−0.932239 | + | 0.361843i | \(0.882148\pi\) | |||||||
\(242\) | −513832. | −0.564004 | ||||||||
\(243\) | −822448. | − | 413361.i | −0.893497 | − | 0.449070i | ||||
\(244\) | −18511.0 | −0.0199047 | ||||||||
\(245\) | −180921. | − | 65849.9i | −0.192563 | − | 0.0700874i | ||||
\(246\) | −531933. | − | 49690.6i | −0.560427 | − | 0.0523524i | ||||
\(247\) | 51944.6 | + | 43586.7i | 0.0541748 | + | 0.0454581i | ||||
\(248\) | −226877. | + | 1.28669e6i | −0.234241 | + | 1.32844i | ||||
\(249\) | 142206. | + | 67332.5i | 0.145352 | + | 0.0688218i | ||||
\(250\) | 585544. | − | 491329.i | 0.592529 | − | 0.497190i | ||||
\(251\) | 127627. | + | 221056.i | 0.127867 | + | 0.221472i | 0.922850 | − | 0.385160i | \(-0.125854\pi\) |
−0.794983 | + | 0.606632i | \(0.792520\pi\) | |||||||
\(252\) | 64687.3 | + | 12191.9i | 0.0641679 | + | 0.0120940i | ||||
\(253\) | 18093.7 | − | 31339.2i | 0.0177716 | − | 0.0307813i | ||||
\(254\) | −47703.8 | − | 270541.i | −0.0463947 | − | 0.263117i | ||||
\(255\) | 363196. | + | 367491.i | 0.349777 | + | 0.353913i | ||||
\(256\) | −273181. | + | 99429.6i | −0.260525 | + | 0.0948235i | ||||
\(257\) | 1.58074e6 | − | 575342.i | 1.49289 | − | 0.543367i | 0.538681 | − | 0.842510i | \(-0.318923\pi\) |
0.954208 | + | 0.299143i | \(0.0967007\pi\) | |||||||
\(258\) | 432074. | − | 1.57542e6i | 0.404118 | − | 1.47349i | ||||
\(259\) | 180817. | + | 1.02546e6i | 0.167490 | + | 0.949883i | ||||
\(260\) | −9391.97 | + | 16267.4i | −0.00861635 | + | 0.0149240i | ||||
\(261\) | 1.73050e6 | + | 1.02642e6i | 1.57243 | + | 0.932661i | ||||
\(262\) | 731288. | + | 1.26663e6i | 0.658165 | + | 1.13998i | ||||
\(263\) | −816243. | + | 684909.i | −0.727663 | + | 0.610582i | −0.929493 | − | 0.368839i | \(-0.879755\pi\) |
0.201830 | + | 0.979420i | \(0.435311\pi\) | |||||||
\(264\) | 599324. | − | 414422.i | 0.529239 | − | 0.365960i | ||||
\(265\) | 77465.4 | − | 439328.i | 0.0677631 | − | 0.384303i | ||||
\(266\) | −99691.0 | − | 83650.7i | −0.0863877 | − | 0.0724879i | ||||
\(267\) | 297925. | + | 648832.i | 0.255757 | + | 0.556998i | ||||
\(268\) | −64268.2 | − | 23391.7i | −0.0546587 | − | 0.0198941i | ||||
\(269\) | 1.19705e6 | 1.00863 | 0.504314 | − | 0.863520i | \(-0.331745\pi\) | ||||
0.504314 | + | 0.863520i | \(0.331745\pi\) | |||||||
\(270\) | −362685. | + | 350114.i | −0.302775 | + | 0.292281i | ||||
\(271\) | 904750. | 0.748351 | 0.374176 | − | 0.927358i | \(-0.377926\pi\) | ||||
0.374176 | + | 0.927358i | \(0.377926\pi\) | |||||||
\(272\) | 1.53729e6 | + | 559528.i | 1.25989 | + | 0.458564i | ||||
\(273\) | −229237. | + | 323322.i | −0.186156 | + | 0.262560i | ||||
\(274\) | −179939. | − | 150987.i | −0.144793 | − | 0.121496i | ||||
\(275\) | −123849. | + | 702385.i | −0.0987557 | + | 0.560072i | ||||
\(276\) | 502.197 | + | 6156.77i | 0.000396827 | + | 0.00486497i | ||||
\(277\) | 981954. | − | 823957.i | 0.768939 | − | 0.645216i | −0.171498 | − | 0.985184i | \(-0.554861\pi\) |
0.940437 | + | 0.339968i | \(0.110416\pi\) | |||||||
\(278\) | −1.14763e6 | − | 1.98775e6i | −0.890614 | − | 1.54259i | ||||
\(279\) | 1.17233e6 | + | 1.43096e6i | 0.901653 | + | 1.10057i | ||||
\(280\) | −175376. | + | 303761.i | −0.133683 | + | 0.231546i | ||||
\(281\) | −133056. | − | 754596.i | −0.100523 | − | 0.570097i | −0.992914 | − | 0.118833i | \(-0.962085\pi\) |
0.892391 | − | 0.451263i | \(-0.149026\pi\) | |||||||
\(282\) | 1.14462e6 | − | 299501.i | 0.857117 | − | 0.224272i | ||||
\(283\) | −1.56002e6 | + | 567801.i | −1.15788 | + | 0.421435i | −0.848340 | − | 0.529451i | \(-0.822398\pi\) |
−0.309542 | + | 0.950886i | \(0.600176\pi\) | |||||||
\(284\) | 125826. | − | 45797.0i | 0.0925711 | − | 0.0336931i | ||||
\(285\) | 82197.2 | − | 21507.6i | 0.0599439 | − | 0.0156848i | ||||
\(286\) | −78300.3 | − | 444063.i | −0.0566042 | − | 0.321018i | ||||
\(287\) | −263157. | + | 455801.i | −0.188586 | + | 0.326641i | ||||
\(288\) | −92337.6 | + | 244705.i | −0.0655990 | + | 0.173845i | ||||
\(289\) | −375099. | − | 649691.i | −0.264181 | − | 0.457575i | ||||
\(290\) | 844089. | − | 708275.i | 0.589377 | − | 0.494546i | ||||
\(291\) | 176727. | + | 2.16662e6i | 0.122341 | + | 1.49986i | ||||
\(292\) | −33204.8 | + | 188314.i | −0.0227899 | + | 0.129248i | ||||
\(293\) | −907811. | − | 761744.i | −0.617770 | − | 0.518370i | 0.279332 | − | 0.960195i | \(-0.409887\pi\) |
−0.897102 | + | 0.441824i | \(0.854331\pi\) | |||||||
\(294\) | −456310. | + | 643593.i | −0.307887 | + | 0.434253i | ||||
\(295\) | −356789. | − | 129861.i | −0.238702 | − | 0.0868806i | ||||
\(296\) | −1.96755e6 | −1.30526 | ||||||||
\(297\) | 108025. | − | 1.02600e6i | 0.0710614 | − | 0.674925i | ||||
\(298\) | −2.95740e6 | −1.92916 | ||||||||
\(299\) | −34950.2 | − | 12720.8i | −0.0226085 | − | 0.00822882i | ||||
\(300\) | −50803.2 | − | 110641.i | −0.0325902 | − | 0.0709763i | ||||
\(301\) | −1.23282e6 | − | 1.03446e6i | −0.784302 | − | 0.658107i | ||||
\(302\) | −319653. | + | 1.81284e6i | −0.201680 | + | 1.14378i | ||||
\(303\) | 2.05449e6 | − | 1.42064e6i | 1.28558 | − | 0.888953i | ||||
\(304\) | 206081. | − | 172922.i | 0.127895 | − | 0.107317i | ||||
\(305\) | −69826.9 | − | 120944.i | −0.0429807 | − | 0.0744447i | ||||
\(306\) | 1.84589e6 | − | 1.03698e6i | 1.12694 | − | 0.633093i | ||||
\(307\) | −778035. | + | 1.34760e6i | −0.471143 | + | 0.816044i | −0.999455 | − | 0.0330064i | \(-0.989492\pi\) |
0.528312 | + | 0.849050i | \(0.322825\pi\) | |||||||
\(308\) | 12811.3 | + | 72656.6i | 0.00769515 | + | 0.0436413i | ||||
\(309\) | −364028. | + | 1.32731e6i | −0.216889 | + | 0.790818i | ||||
\(310\) | 951987. | − | 346495.i | 0.562635 | − | 0.204782i | ||||
\(311\) | −1.94895e6 | + | 709360.i | −1.14261 | + | 0.415878i | −0.842857 | − | 0.538138i | \(-0.819128\pi\) |
−0.299758 | + | 0.954015i | \(0.596906\pi\) | |||||||
\(312\) | −526434. | − | 532660.i | −0.306167 | − | 0.309787i | ||||
\(313\) | −224941. | − | 1.27570e6i | −0.129780 | − | 0.736018i | −0.978353 | − | 0.206941i | \(-0.933649\pi\) |
0.848574 | − | 0.529077i | \(-0.177462\pi\) | |||||||
\(314\) | 1.11517e6 | − | 1.93154e6i | 0.638290 | − | 1.10555i | ||||
\(315\) | 164355. | + | 468631.i | 0.0933267 | + | 0.266106i | ||||
\(316\) | 151180. | + | 261852.i | 0.0851682 | + | 0.147516i | ||||
\(317\) | 1.16834e6 | − | 980357.i | 0.653014 | − | 0.547944i | −0.254970 | − | 0.966949i | \(-0.582066\pi\) |
0.907984 | + | 0.419005i | \(0.137621\pi\) | |||||||
\(318\) | −1.65217e6 | − | 782278.i | −0.916195 | − | 0.433804i | ||||
\(319\) | −391584. | + | 2.22078e6i | −0.215451 | + | 1.22188i | ||||
\(320\) | −502800. | − | 421900.i | −0.274486 | − | 0.230321i | ||||
\(321\) | 1.38005e6 | + | 128918.i | 0.747537 | + | 0.0698312i | ||||
\(322\) | 67075.8 | + | 24413.6i | 0.0360517 | + | 0.0131218i | ||||
\(323\) | −356849. | −0.190317 | ||||||||
\(324\) | 84443.3 | + | 154541.i | 0.0446892 | + | 0.0817864i | ||||
\(325\) | 733045. | 0.384966 | ||||||||
\(326\) | 1.02786e6 | + | 374110.i | 0.535661 | + | 0.194965i | ||||
\(327\) | −1.63018e6 | − | 152284.i | −0.843077 | − | 0.0787562i | ||||
\(328\) | −761827. | − | 639249.i | −0.390995 | − | 0.328084i | ||||
\(329\) | 202402. | − | 1.14788e6i | 0.103092 | − | 0.584663i | ||||
\(330\) | −510647. | − | 241783.i | −0.258128 | − | 0.122220i | ||||
\(331\) | 2.01166e6 | − | 1.68799e6i | 1.00922 | − | 0.846835i | 0.0209843 | − | 0.999780i | \(-0.493320\pi\) |
0.988235 | + | 0.152944i | \(0.0488756\pi\) | |||||||
\(332\) | −15051.3 | − | 26069.6i | −0.00749425 | − | 0.0129804i | ||||
\(333\) | −1.81562e6 | + | 2.11282e6i | −0.897253 | + | 1.04413i | ||||
\(334\) | −1.47875e6 | + | 2.56127e6i | −0.725317 | + | 1.25629i | ||||
\(335\) | −89598.9 | − | 508141.i | −0.0436205 | − | 0.247384i | ||||
\(336\) | 1.10531e6 | + | 1.11838e6i | 0.534116 | + | 0.540433i | ||||
\(337\) | 42807.4 | − | 15580.6i | 0.0205326 | − | 0.00747326i | −0.331733 | − | 0.943373i | \(-0.607633\pi\) |
0.352266 | + | 0.935900i | \(0.385411\pi\) | |||||||
\(338\) | 1.62811e6 | − | 592584.i | 0.775161 | − | 0.282136i | ||||
\(339\) | 643415. | − | 2.34601e6i | 0.304083 | − | 1.10874i | ||||
\(340\) | −17165.4 | − | 97350.0i | −0.00805300 | − | 0.0456708i | ||||
\(341\) | −1.03666e6 | + | 1.79554e6i | −0.482780 | + | 0.836200i | ||||
\(342\) | 4093.11 | − | 348136.i | 0.00189229 | − | 0.160947i | ||||
\(343\) | 1.15190e6 | + | 1.99515e6i | 0.528664 | + | 0.915674i | ||||
\(344\) | 2.32947e6 | − | 1.95466e6i | 1.06135 | − | 0.890583i | ||||
\(345\) | −38331.5 | + | 26505.6i | −0.0173384 | + | 0.0119892i | ||||
\(346\) | 34451.1 | − | 195382.i | 0.0154708 | − | 0.0877393i | ||||
\(347\) | −1.55980e6 | − | 1.30883e6i | −0.695417 | − | 0.583524i | 0.225049 | − | 0.974348i | \(-0.427746\pi\) |
−0.920466 | + | 0.390823i | \(0.872190\pi\) | |||||||
\(348\) | −160628. | − | 349822.i | −0.0711006 | − | 0.154846i | ||||
\(349\) | −1.04233e6 | − | 379375.i | −0.458078 | − | 0.166727i | 0.102666 | − | 0.994716i | \(-0.467263\pi\) |
−0.560744 | + | 0.827989i | \(0.689485\pi\) | |||||||
\(350\) | −1.40685e6 | −0.613870 | ||||||||
\(351\) | −1.05778e6 | + | 73773.7i | −0.458274 | + | 0.0319620i | ||||
\(352\) | −293140. | −0.126101 | ||||||||
\(353\) | 2.45555e6 | + | 893746.i | 1.04884 | + | 0.381748i | 0.808227 | − | 0.588872i | \(-0.200428\pi\) |
0.240618 | + | 0.970620i | \(0.422650\pi\) | |||||||
\(354\) | −899877. | + | 1.26921e6i | −0.381658 | + | 0.538302i | ||||
\(355\) | 773859. | + | 649345.i | 0.325905 | + | 0.273467i | ||||
\(356\) | 23719.5 | − | 134520.i | 0.00991929 | − | 0.0562551i | ||||
\(357\) | −169570. | − | 2.07887e6i | −0.0704172 | − | 0.863291i | ||||
\(358\) | 651248. | − | 546462.i | 0.268558 | − | 0.225347i | ||||
\(359\) | 231841. | + | 401561.i | 0.0949412 | + | 0.164443i | 0.909584 | − | 0.415520i | \(-0.136400\pi\) |
−0.814643 | + | 0.579963i | \(0.803067\pi\) | |||||||
\(360\) | −925975. | + | 152072.i | −0.376568 | + | 0.0618434i | ||||
\(361\) | 1.20871e6 | − | 2.09355e6i | 0.488151 | − | 0.845502i | ||||
\(362\) | 549714. | + | 3.11758e6i | 0.220478 | + | 1.25039i | ||||
\(363\) | −1.31014e6 | + | 342811.i | −0.521858 | + | 0.136549i | ||||
\(364\) | 71255.1 | − | 25934.7i | 0.0281879 | − | 0.0102596i | ||||
\(365\) | −1.35562e6 | + | 493405.i | −0.532606 | + | 0.193853i | ||||
\(366\) | −553624. | + | 144860.i | −0.216029 | + | 0.0565259i | ||||
\(367\) | 65028.1 | + | 368792.i | 0.0252020 | + | 0.142928i | 0.994812 | − | 0.101726i | \(-0.0324366\pi\) |
−0.969610 | + | 0.244654i | \(0.921326\pi\) | |||||||
\(368\) | −73778.7 | + | 127788.i | −0.0283996 | + | 0.0491895i | ||||
\(369\) | −1.38945e6 | + | 228188.i | −0.531223 | + | 0.0872424i | ||||
\(370\) | 762815. | + | 1.32123e6i | 0.289678 | + | 0.501736i | ||||
\(371\) | −1.37954e6 | + | 1.15757e6i | −0.520355 | + | 0.436630i | ||||
\(372\) | −28772.8 | − | 352745.i | −0.0107802 | − | 0.132161i | ||||
\(373\) | 79569.7 | − | 451262.i | 0.0296125 | − | 0.167941i | −0.966415 | − | 0.256986i | \(-0.917270\pi\) |
0.996028 | + | 0.0890453i | \(0.0283816\pi\) | |||||||
\(374\) | 1.81780e6 | + | 1.52531e6i | 0.671995 | + | 0.563871i | ||||
\(375\) | 1.16519e6 | − | 1.64342e6i | 0.427878 | − | 0.603492i | ||||
\(376\) | 2.06960e6 | + | 753275.i | 0.754949 | + | 0.274779i | ||||
\(377\) | 2.31772e6 | 0.839862 | ||||||||
\(378\) | 2.03006e6 | − | 141585.i | 0.730769 | − | 0.0509669i | ||||
\(379\) | 3.96988e6 | 1.41964 | 0.709821 | − | 0.704382i | \(-0.248776\pi\) | ||||
0.709821 | + | 0.704382i | \(0.248776\pi\) | |||||||
\(380\) | −15275.1 | − | 5559.67i | −0.00542656 | − | 0.00197511i | ||||
\(381\) | −302129. | − | 657988.i | −0.106630 | − | 0.232223i | ||||
\(382\) | 1.92962e6 | + | 1.61915e6i | 0.676572 | + | 0.567711i | ||||
\(383\) | −160732. | + | 911554.i | −0.0559892 | + | 0.317531i | −0.999920 | − | 0.0126115i | \(-0.995986\pi\) |
0.943931 | + | 0.330142i | \(0.107097\pi\) | |||||||
\(384\) | −2.65381e6 | + | 1.83506e6i | −0.918421 | + | 0.635072i | ||||
\(385\) | −426383. | + | 357778.i | −0.146605 | + | 0.123016i | ||||
\(386\) | −284852. | − | 493378.i | −0.0973085 | − | 0.168543i | ||||
\(387\) | 50617.1 | − | 4.30519e6i | 0.0171799 | − | 1.46122i | ||||
\(388\) | 207947. | − | 360175.i | 0.0701251 | − | 0.121460i | ||||
\(389\) | −73740.7 | − | 418205.i | −0.0247078 | − | 0.140125i | 0.969958 | − | 0.243271i | \(-0.0782203\pi\) |
−0.994666 | + | 0.103146i | \(0.967109\pi\) | |||||||
\(390\) | −153591. | + | 560019.i | −0.0511332 | + | 0.186441i | ||||
\(391\) | 183928. | − | 66944.3i | 0.0608423 | − | 0.0221448i | ||||
\(392\) | −1.38003e6 | + | 502291.i | −0.453602 | + | 0.165098i | ||||
\(393\) | 2.70965e6 | + | 2.74170e6i | 0.884978 | + | 0.895444i | ||||
\(394\) | −400863. | − | 2.27340e6i | −0.130093 | − | 0.737796i | ||||
\(395\) | −1.14056e6 | + | 1.97550e6i | −0.367811 | + | 0.637067i | ||||
\(396\) | −128642. | + | 149699.i | −0.0412233 | + | 0.0479712i | ||||
\(397\) | −1.64686e6 | − | 2.85245e6i | −0.524422 | − | 0.908325i | −0.999596 | − | 0.0284333i | \(-0.990948\pi\) |
0.475174 | − | 0.879892i | \(-0.342385\pi\) | |||||||
\(398\) | −194442. | + | 163156.i | −0.0615292 | + | 0.0516291i | ||||
\(399\) | −309996. | − | 146778.i | −0.0974820 | − | 0.0461562i | ||||
\(400\) | 505008. | − | 2.86404e6i | 0.157815 | − | 0.895013i | ||||
\(401\) | 2.24282e6 | + | 1.88195e6i | 0.696521 | + | 0.584451i | 0.920782 | − | 0.390079i | \(-0.127552\pi\) |
−0.224260 | + | 0.974529i | \(0.571997\pi\) | |||||||
\(402\) | −2.10517e6 | − | 196655.i | −0.649715 | − | 0.0606932i | ||||
\(403\) | 2.00243e6 | + | 728826.i | 0.614180 | + | 0.223543i | ||||
\(404\) | −477885. | −0.145670 | ||||||||
\(405\) | −691175. | + | 1.13468e6i | −0.209387 | + | 0.343743i | ||||
\(406\) | −4.44813e6 | −1.33925 | ||||||||
\(407\) | −2.93397e6 | − | 1.06788e6i | −0.877950 | − | 0.319548i | ||||
\(408\) | 3.92408e6 | + | 366569.i | 1.16705 | + | 0.109020i | ||||
\(409\) | −1.79186e6 | − | 1.50355e6i | −0.529659 | − | 0.444437i | 0.338324 | − | 0.941030i | \(-0.390140\pi\) |
−0.867984 | + | 0.496593i | \(0.834584\pi\) | |||||||
\(410\) | −133905. | + | 759412.i | −0.0393402 | + | 0.223109i | ||||
\(411\) | −559533. | − | 264930.i | −0.163388 | − | 0.0773617i | ||||
\(412\) | 201714. | − | 169258.i | 0.0585453 | − | 0.0491254i | ||||
\(413\) | 766372. | + | 1.32739e6i | 0.221088 | + | 0.382935i | ||||
\(414\) | 63200.2 | + | 180205.i | 0.0181225 | + | 0.0516733i | ||||
\(415\) | 113552. | − | 196678.i | 0.0323650 | − | 0.0560578i | ||||
\(416\) | 52318.0 | + | 296710.i | 0.0148224 | + | 0.0840619i | ||||
\(417\) | −4.25233e6 | − | 4.30262e6i | −1.19753 | − | 1.21169i | ||||
\(418\) | 366682. | − | 133461.i | 0.102648 | − | 0.0373607i | ||||
\(419\) | −176455. | + | 64224.3i | −0.0491019 | + | 0.0178716i | −0.366454 | − | 0.930436i | \(-0.619428\pi\) |
0.317352 | + | 0.948308i | \(0.397206\pi\) | |||||||
\(420\) | 25130.1 | − | 91629.0i | 0.00695139 | − | 0.0253460i | ||||
\(421\) | −68615.9 | − | 389140.i | −0.0188677 | − | 0.107004i | 0.973920 | − | 0.226894i | \(-0.0728570\pi\) |
−0.992787 | + | 0.119890i | \(0.961746\pi\) | |||||||
\(422\) | 230710. | − | 399601.i | 0.0630645 | − | 0.109231i | ||||
\(423\) | 2.71869e6 | − | 1.52731e6i | 0.738770 | − | 0.415026i | ||||
\(424\) | −1.70141e6 | − | 2.94692e6i | −0.459614 | − | 0.796075i | ||||
\(425\) | −2.95517e6 | + | 2.47968e6i | −0.793615 | + | 0.665922i | ||||
\(426\) | 3.40479e6 | − | 2.35436e6i | 0.909006 | − | 0.628562i | ||||
\(427\) | −97896.3 | + | 555198.i | −0.0259834 | + | 0.147359i | ||||
\(428\) | −203140. | − | 170455.i | −0.0536027 | − | 0.0449780i | ||||
\(429\) | −495910. | − | 1.08001e6i | −0.130095 | − | 0.283325i | ||||
\(430\) | −2.21571e6 | − | 806452.i | −0.577885 | − | 0.210333i | ||||
\(431\) | −1.09070e6 | −0.282820 | −0.141410 | − | 0.989951i | \(-0.545164\pi\) | ||||
−0.141410 | + | 0.989951i | \(0.545164\pi\) | |||||||
\(432\) | −440483. | + | 4.18360e6i | −0.113559 | + | 1.07855i | ||||
\(433\) | 3.50848e6 | 0.899288 | 0.449644 | − | 0.893208i | \(-0.351551\pi\) | ||||
0.449644 | + | 0.893208i | \(0.351551\pi\) | |||||||
\(434\) | −3.84303e6 | − | 1.39875e6i | −0.979377 | − | 0.356464i | ||||
\(435\) | 1.67968e6 | − | 2.36907e6i | 0.425602 | − | 0.600282i | ||||
\(436\) | 239959. | + | 201350.i | 0.0604535 | + | 0.0507265i | ||||
\(437\) | 5589.14 | − | 31697.6i | 0.00140004 | − | 0.00794004i | ||||
\(438\) | 480591. | + | 5.89189e6i | 0.119699 | + | 1.46747i | ||||
\(439\) | −5.26819e6 | + | 4.42054e6i | −1.30467 | + | 1.09475i | −0.315351 | + | 0.948975i | \(0.602122\pi\) |
−0.989318 | + | 0.145773i | \(0.953433\pi\) | |||||||
\(440\) | −525863. | − | 910822.i | −0.129492 | − | 0.224286i | ||||
\(441\) | −734096. | + | 1.94544e6i | −0.179745 | + | 0.476344i | ||||
\(442\) | 1.21946e6 | − | 2.11217e6i | 0.296901 | − | 0.514248i | ||||
\(443\) | −204086. | − | 1.15743e6i | −0.0494088 | − | 0.280211i | 0.950086 | − | 0.311987i | \(-0.100995\pi\) |
−0.999495 | + | 0.0317764i | \(0.989884\pi\) | |||||||
\(444\) | 515615. | − | 134915.i | 0.124128 | − | 0.0324790i | ||||
\(445\) | 968375. | − | 352460.i | 0.231816 | − | 0.0843741i | ||||
\(446\) | −470048. | + | 171083.i | −0.111894 | + | 0.0407259i | ||||
\(447\) | −7.54064e6 | + | 1.97307e6i | −1.78500 | + | 0.467062i | ||||
\(448\) | 460103. | + | 2.60937e6i | 0.108308 | + | 0.614245i | ||||
\(449\) | 2.50234e6 | − | 4.33418e6i | 0.585774 | − | 1.01459i | −0.409005 | − | 0.912532i | \(-0.634124\pi\) |
0.994778 | − | 0.102058i | \(-0.0325427\pi\) | |||||||
\(450\) | −2.38525e6 | − | 2.91146e6i | −0.555267 | − | 0.677766i | ||||
\(451\) | −789072. | − | 1.36671e6i | −0.182673 | − | 0.316400i | ||||
\(452\) | −356527. | + | 299162.i | −0.0820817 | + | 0.0688747i | ||||
\(453\) | 394429. | + | 4.83557e6i | 0.0903074 | + | 1.10714i | ||||
\(454\) | 136397. | − | 773543.i | 0.0310573 | − | 0.176135i | ||||
\(455\) | 438234. | + | 367722.i | 0.0992380 | + | 0.0832705i | ||||
\(456\) | 374846. | − | 528693.i | 0.0844191 | − | 0.119067i | ||||
\(457\) | 3.41544e6 | + | 1.24312e6i | 0.764991 | + | 0.278434i | 0.694900 | − | 0.719107i | \(-0.255449\pi\) |
0.0700913 | + | 0.997541i | \(0.477671\pi\) | |||||||
\(458\) | 5.23611e6 | 1.16639 | ||||||||
\(459\) | 4.01472e6 | − | 3.87556e6i | 0.889454 | − | 0.858623i | ||||
\(460\) | 8916.11 | 0.00196463 | ||||||||
\(461\) | −2.03452e6 | − | 740506.i | −0.445872 | − | 0.162284i | 0.109319 | − | 0.994007i | \(-0.465133\pi\) |
−0.555192 | + | 0.831722i | \(0.687355\pi\) | |||||||
\(462\) | 951741. | + | 2.07274e6i | 0.207450 | + | 0.451793i | ||||
\(463\) | 1.25618e6 | + | 1.05406e6i | 0.272332 | + | 0.228513i | 0.768717 | − | 0.639589i | \(-0.220895\pi\) |
−0.496386 | + | 0.868102i | \(0.665340\pi\) | |||||||
\(464\) | 1.59672e6 | − | 9.05545e6i | 0.344298 | − | 1.95261i | ||||
\(465\) | 2.19616e6 | − | 1.51861e6i | 0.471012 | − | 0.325697i | ||||
\(466\) | −5.19638e6 | + | 4.36028e6i | −1.10850 | + | 0.930142i | ||||
\(467\) | 1.51425e6 | + | 2.62275e6i | 0.321295 | + | 0.556500i | 0.980756 | − | 0.195240i | \(-0.0625484\pi\) |
−0.659460 | + | 0.751739i | \(0.729215\pi\) | |||||||
\(468\) | 174482. | + | 103491.i | 0.0368244 | + | 0.0218418i | ||||
\(469\) | −1.04147e6 | + | 1.80387e6i | −0.218632 | + | 0.378682i | ||||
\(470\) | −296549. | − | 1.68181e6i | −0.0619229 | − | 0.351182i | ||||
\(471\) | 1.55476e6 | − | 5.66894e6i | 0.322932 | − | 1.17747i | ||||
\(472\) | −2.72153e6 | + | 990555.i | −0.562287 | + | 0.204656i | ||||
\(473\) | 4.53454e6 | − | 1.65044e6i | 0.931923 | − | 0.339192i | ||||
\(474\) | 6.57062e6 | + | 6.64832e6i | 1.34326 | + | 1.35915i | ||||
\(475\) | 110157. | + | 624731.i | 0.0224015 | + | 0.127045i | ||||
\(476\) | −199525. | + | 345588.i | −0.0403627 | + | 0.0699103i | ||||
\(477\) | −4.73455e6 | − | 892343.i | −0.952757 | − | 0.179571i | ||||
\(478\) | 1.73701e6 | + | 3.00858e6i | 0.347722 | + | 0.602272i | ||||
\(479\) | −1.87616e6 | + | 1.57428e6i | −0.373621 | + | 0.313505i | −0.810192 | − | 0.586165i | \(-0.800637\pi\) |
0.436571 | + | 0.899670i | \(0.356193\pi\) | |||||||
\(480\) | 341200. | + | 161552.i | 0.0675936 | + | 0.0320045i | ||||
\(481\) | −557246. | + | 3.16030e6i | −0.109821 | + | 0.622824i | ||||
\(482\) | 6.14638e6 | + | 5.15743e6i | 1.20504 | + | 1.01115i | ||||
\(483\) | 187315. | + | 17498.0i | 0.0365346 | + | 0.00341288i | ||||
\(484\) | 243470. | + | 88615.8i | 0.0472424 | + | 0.0171948i | ||||
\(485\) | 3.13765e6 | 0.605690 | ||||||||
\(486\) | 3.73489e6 | + | 3.96116e6i | 0.717278 | + | 0.760731i | ||||
\(487\) | 5.79768e6 | 1.10772 | 0.553862 | − | 0.832608i | \(-0.313153\pi\) | ||||
0.553862 | + | 0.832608i | \(0.313153\pi\) | |||||||
\(488\) | −1.00101e6 | − | 364339.i | −0.190279 | − | 0.0692557i | ||||
\(489\) | 2.87038e6 | + | 268137.i | 0.542835 | + | 0.0507090i | ||||
\(490\) | 872332. | + | 731974.i | 0.164131 | + | 0.137723i | ||||
\(491\) | 1.39338e6 | − | 7.90227e6i | 0.260836 | − | 1.47927i | −0.519801 | − | 0.854287i | \(-0.673994\pi\) |
0.780637 | − | 0.624985i | \(-0.214895\pi\) | |||||||
\(492\) | 243477. | + | 115283.i | 0.0453467 | + | 0.0214709i | ||||
\(493\) | −9.34358e6 | + | 7.84019e6i | −1.73139 | + | 1.45281i | ||||
\(494\) | −200531. | − | 347329.i | −0.0369712 | − | 0.0640360i | ||||
\(495\) | −1.46333e6 | − | 275801.i | −0.268429 | − | 0.0505922i | ||||
\(496\) | 4.22707e6 | − | 7.32150e6i | 0.771499 | − | 1.33628i | ||||
\(497\) | −708144. | − | 4.01608e6i | −0.128597 | − | 0.729309i | ||||
\(498\) | −654161. | − | 661898.i | −0.118198 | − | 0.119596i | ||||
\(499\) | −1.77935e6 | + | 647632.i | −0.319898 | + | 0.116433i | −0.496978 | − | 0.867763i | \(-0.665557\pi\) |
0.177080 | + | 0.984196i | \(0.443335\pi\) | |||||||
\(500\) | −362185. | + | 131824.i | −0.0647896 | + | 0.0235815i | ||||
\(501\) | −2.06166e6 | + | 7.51717e6i | −0.366963 | + | 1.33801i | ||||
\(502\) | −262161. | − | 1.48679e6i | −0.0464310 | − | 0.263323i | ||||
\(503\) | 395461. | − | 684959.i | 0.0696922 | − | 0.120710i | −0.829074 | − | 0.559139i | \(-0.811132\pi\) |
0.898766 | + | 0.438429i | \(0.144465\pi\) | |||||||
\(504\) | 3.25810e6 | + | 1.93249e6i | 0.571331 | + | 0.338876i | ||||
\(505\) | −1.80267e6 | − | 3.12231e6i | −0.314548 | − | 0.544813i | ||||
\(506\) | −163959. | + | 137578.i | −0.0284682 | + | 0.0238876i | ||||
\(507\) | 3.75593e6 | − | 2.59716e6i | 0.648930 | − | 0.448724i | ||||
\(508\) | −24054.2 | + | 136418.i | −0.00413554 | + | 0.0234538i | ||||
\(509\) | −441409. | − | 370386.i | −0.0755174 | − | 0.0633666i | 0.604248 | − | 0.796797i | \(-0.293474\pi\) |
−0.679765 | + | 0.733430i | \(0.737918\pi\) | |||||||
\(510\) | −1.27521e6 | − | 2.77719e6i | −0.217097 | − | 0.472803i | ||||
\(511\) | 5.47245e6 | + | 1.99181e6i | 0.927106 | + | 0.337439i | ||||
\(512\) | −4.90387e6 | −0.826731 | ||||||||
\(513\) | −221828. | − | 890393.i | −0.0372154 | − | 0.149379i | ||||
\(514\) | −9.94945e6 | −1.66108 | ||||||||
\(515\) | 1.86676e6 | + | 679446.i | 0.310150 | + | 0.112885i | ||||
\(516\) | −476428. | + | 671968.i | −0.0787723 | + | 0.111103i | ||||
\(517\) | 2.67732e6 | + | 2.24654e6i | 0.440528 | + | 0.369647i | ||||
\(518\) | 1.06946e6 | − | 6.06519e6i | 0.175121 | − | 0.993161i | ||||
\(519\) | −42510.2 | − | 521160.i | −0.00692747 | − | 0.0849284i | ||||
\(520\) | −828064. | + | 694828.i | −0.134294 | + | 0.112686i | ||||
\(521\) | 2.21807e6 | + | 3.84180e6i | 0.357998 | + | 0.620070i | 0.987626 | − | 0.156826i | \(-0.0501262\pi\) |
−0.629628 | + | 0.776896i | \(0.716793\pi\) | |||||||
\(522\) | −7.54161e6 | − | 9.20539e6i | −1.21140 | − | 1.47865i | ||||
\(523\) | −2.80297e6 | + | 4.85488e6i | −0.448088 | + | 0.776112i | −0.998262 | − | 0.0589388i | \(-0.981228\pi\) |
0.550173 | + | 0.835050i | \(0.314562\pi\) | |||||||
\(524\) | −128064. | − | 726288.i | −0.0203751 | − | 0.115553i | ||||
\(525\) | −3.58711e6 | + | 938599.i | −0.567998 | + | 0.148621i | ||||
\(526\) | 5.92211e6 | − | 2.15547e6i | 0.933280 | − | 0.339686i | ||||
\(527\) | −1.05379e7 | + | 3.83550e6i | −1.65283 | + | 0.601583i | ||||
\(528\) | −4.56130e6 | + | 1.19350e6i | −0.712039 | + | 0.186311i | ||||
\(529\) | −1.11459e6 | − | 6.32117e6i | −0.173172 | − | 0.982107i | ||||
\(530\) | −1.31927e6 | + | 2.28503e6i | −0.204006 | + | 0.353348i | ||||
\(531\) | −1.44769e6 | + | 3.83654e6i | −0.222812 | + | 0.590478i | ||||
\(532\) | 32810.4 | + | 56829.2i | 0.00502611 | + | 0.00870548i | ||||
\(533\) | −1.24253e6 | + | 1.04261e6i | −0.189448 | + | 0.158966i | ||||
\(534\) | −343306. | − | 4.20882e6i | −0.0520989 | − | 0.638714i | ||||
\(535\) | 347404. | − | 1.97022e6i | 0.0524747 | − | 0.297599i | ||||
\(536\) | −3.01500e6 | − | 2.52988e6i | −0.453289 | − | 0.380355i | ||||
\(537\) | 1.29594e6 | − | 1.82783e6i | 0.193932 | − | 0.273527i | ||||
\(538\) | −6.65307e6 | − | 2.42152e6i | −0.990984 | − | 0.360689i | ||||
\(539\) | −2.33050e6 | −0.345523 | ||||||||
\(540\) | 232233. | − | 103346.i | 0.0342720 | − | 0.0152514i | ||||
\(541\) | −9.23300e6 | −1.35628 | −0.678141 | − | 0.734932i | \(-0.737214\pi\) | ||||
−0.678141 | + | 0.734932i | \(0.737214\pi\) | |||||||
\(542\) | −5.02851e6 | − | 1.83023e6i | −0.735260 | − | 0.267613i | ||||
\(543\) | 3.48158e6 | + | 7.58232e6i | 0.506730 | + | 1.10358i | ||||
\(544\) | −1.21460e6 | − | 1.01917e6i | −0.175969 | − | 0.147655i | ||||
\(545\) | −410371. | + | 2.32733e6i | −0.0591814 | + | 0.335634i | ||||
\(546\) | 1.92813e6 | − | 1.33327e6i | 0.276792 | − | 0.191397i | ||||
\(547\) | 8.97053e6 | − | 7.52717e6i | 1.28189 | − | 1.07563i | 0.288906 | − | 0.957357i | \(-0.406708\pi\) |
0.992981 | − | 0.118274i | \(-0.0377360\pi\) | |||||||
\(548\) | 59221.6 | + | 102575.i | 0.00842420 | + | 0.0145911i | ||||
\(549\) | −1.31496e6 | + | 738717.i | −0.186201 | + | 0.104604i | ||||
\(550\) | 2.10920e6 | − | 3.65325e6i | 0.297312 | − | 0.514959i | ||||
\(551\) | 348291. | + | 1.97526e6i | 0.0488724 | + | 0.277169i | ||||
\(552\) | −94021.9 | + | 342821.i | −0.0131335 | + | 0.0478872i | ||||
\(553\) | 8.65319e6 | − | 3.14950e6i | 1.20327 | − | 0.437955i | ||||
\(554\) | −7.12439e6 | + | 2.59307e6i | −0.986219 | + | 0.358954i | ||||
\(555\) | 2.82647e6 | + | 2.85990e6i | 0.389504 | + | 0.394111i | ||||
\(556\) | 200974. | + | 1.13978e6i | 0.0275711 | + | 0.156363i | ||||
\(557\) | −2.45391e6 | + | 4.25030e6i | −0.335136 | + | 0.580472i | −0.983511 | − | 0.180849i | \(-0.942115\pi\) |
0.648375 | + | 0.761321i | \(0.275449\pi\) | |||||||
\(558\) | −3.62099e6 | − | 1.03247e7i | −0.492313 | − | 1.40375i | ||||
\(559\) | −2.47984e6 | − | 4.29521e6i | −0.335656 | − | 0.581373i | ||||
\(560\) | 1.73862e6 | − | 1.45887e6i | 0.234279 | − | 0.196583i | ||||
\(561\) | 5.65257e6 | + | 2.67640e6i | 0.758296 | + | 0.359041i | ||||
\(562\) | −786969. | + | 4.46312e6i | −0.105103 | + | 0.596071i | ||||
\(563\) | 8.81692e6 | + | 7.39827e6i | 1.17232 | + | 0.983693i | 0.999999 | − | 0.00134852i | \(-0.000429247\pi\) |
0.172320 | + | 0.985041i | \(0.444874\pi\) | |||||||
\(564\) | −594012. | − | 55489.7i | −0.0786317 | − | 0.00734538i | ||||
\(565\) | −3.29949e6 | − | 1.20091e6i | −0.434836 | − | 0.158267i | ||||
\(566\) | 9.81905e6 | 1.28833 | ||||||||
\(567\) | 5.08170e6 | − | 1.71539e6i | 0.663821 | − | 0.224082i | ||||
\(568\) | 7.70564e6 | 1.00216 | ||||||||
\(569\) | 1.24676e7 | + | 4.53784e6i | 1.61437 | + | 0.587582i | 0.982298 | − | 0.187327i | \(-0.0599826\pi\) |
0.632072 | + | 0.774910i | \(0.282205\pi\) | |||||||
\(570\) | −500352. | − | 46740.4i | −0.0645042 | − | 0.00602567i | ||||
\(571\) | 39210.6 | + | 32901.6i | 0.00503284 | + | 0.00422306i | 0.645301 | − | 0.763929i | \(-0.276732\pi\) |
−0.640268 | + | 0.768152i | \(0.721177\pi\) | |||||||
\(572\) | −39482.3 | + | 223915.i | −0.00504559 | + | 0.0286150i | ||||
\(573\) | 6.00030e6 | + | 2.84105e6i | 0.763460 | + | 0.361486i | ||||
\(574\) | 2.38464e6 | − | 2.00095e6i | 0.302095 | − | 0.253488i | ||||
\(575\) | −173976. | − | 301335.i | −0.0219442 | − | 0.0380084i | ||||
\(576\) | −4.62001e6 | + | 5.37626e6i | −0.580212 | + | 0.675187i | ||||
\(577\) | −190195. | + | 329427.i | −0.0237826 | + | 0.0411927i | −0.877672 | − | 0.479262i | \(-0.840904\pi\) |
0.853889 | + | 0.520455i | \(0.174238\pi\) | |||||||
\(578\) | 770498. | + | 4.36971e6i | 0.0959294 | + | 0.544043i | ||||
\(579\) | −1.05547e6 | − | 1.06795e6i | −0.130842 | − | 0.132390i | ||||
\(580\) | −522106. | + | 190031.i | −0.0644449 | + | 0.0234560i | ||||
\(581\) | −861499. | + | 313560.i | −0.105880 | + | 0.0385372i | ||||
\(582\) | 3.40064e6 | − | 1.23993e7i | 0.416153 | − | 1.51737i | ||||
\(583\) | −937676. | − | 5.31783e6i | −0.114257 | − | 0.647982i | ||||
\(584\) | −5.50203e6 | + | 9.52980e6i | −0.667561 | + | 1.15625i | ||||
\(585\) | −17993.0 | + | 1.53038e6i | −0.00217377 | + | 0.184889i | ||||
\(586\) | 3.50458e6 | + | 6.07011e6i | 0.421592 | + | 0.730219i | ||||
\(587\) | −4.66461e6 | + | 3.91407e6i | −0.558753 | + | 0.468850i | −0.877892 | − | 0.478858i | \(-0.841051\pi\) |
0.319139 | + | 0.947708i | \(0.396606\pi\) | |||||||
\(588\) | 327209. | − | 226259.i | 0.0390285 | − | 0.0269875i | ||||
\(589\) | −320224. | + | 1.81608e6i | −0.0380334 | + | 0.215698i | ||||
\(590\) | 1.72030e6 | + | 1.44351e6i | 0.203458 | + | 0.170722i | ||||
\(591\) | −2.53884e6 | − | 5.52918e6i | −0.298996 | − | 0.651166i | ||||
\(592\) | 1.19635e7 | + | 4.35437e6i | 1.40299 | + | 0.510648i | ||||
\(593\) | −1.43821e7 | −1.67953 | −0.839763 | − | 0.542953i | \(-0.817306\pi\) | ||||
−0.839763 | + | 0.542953i | \(0.817306\pi\) | |||||||
\(594\) | −2.67589e6 | + | 5.48386e6i | −0.311174 | + | 0.637706i | ||||
\(595\) | −3.01058e6 | −0.348624 | ||||||||
\(596\) | 1.40131e6 | + | 510035.i | 0.161592 | + | 0.0588145i | ||||
\(597\) | −386926. | + | 545732.i | −0.0444316 | + | 0.0626676i | ||||
\(598\) | 168517. | + | 141402.i | 0.0192703 | + | 0.0161697i | ||||
\(599\) | 2.54779e6 | − | 1.44492e7i | 0.290132 | − | 1.64542i | −0.396222 | − | 0.918155i | \(-0.629679\pi\) |
0.686354 | − | 0.727267i | \(-0.259210\pi\) | |||||||
\(600\) | −569592. | − | 6.98301e6i | −0.0645930 | − | 0.791889i | ||||
\(601\) | 6.89234e6 | − | 5.78336e6i | 0.778360 | − | 0.653122i | −0.164475 | − | 0.986381i | \(-0.552593\pi\) |
0.942835 | + | 0.333260i | \(0.108149\pi\) | |||||||
\(602\) | 4.75927e6 | + | 8.24329e6i | 0.535240 | + | 0.927063i | ||||
\(603\) | −5.49888e6 | + | 903076.i | −0.615858 | + | 0.101142i | ||||
\(604\) | 464107. | − | 803856.i | 0.0517637 | − | 0.0896574i | ||||
\(605\) | 339431. | + | 1.92501e6i | 0.0377019 | + | 0.213818i | ||||
\(606\) | −1.42925e7 | + | 3.73975e6i | −1.58098 | + | 0.413677i | ||||
\(607\) | 1.77972e6 | − | 647766.i | 0.196056 | − | 0.0713586i | −0.242126 | − | 0.970245i | \(-0.577845\pi\) |
0.438182 | + | 0.898886i | \(0.355623\pi\) | |||||||
\(608\) | −245007. | + | 89175.1i | −0.0268794 | + | 0.00978328i | ||||
\(609\) | −1.13416e7 | + | 2.96764e6i | −1.23917 | + | 0.324241i | ||||
\(610\) | 143433. | + | 813447.i | 0.0156071 | + | 0.0885125i | ||||
\(611\) | 1.79607e6 | − | 3.11088e6i | 0.194634 | − | 0.337117i | ||||
\(612\) | −1.05348e6 | + | 173012.i | −0.113697 | + | 0.0186723i | ||||
\(613\) | 868390. | + | 1.50410e6i | 0.0933391 | + | 0.161668i | 0.908914 | − | 0.416983i | \(-0.136913\pi\) |
−0.815575 | + | 0.578651i | \(0.803579\pi\) | |||||||
\(614\) | 7.05030e6 | − | 5.91590e6i | 0.754721 | − | 0.633286i | ||||
\(615\) | 165229. | + | 2.02565e6i | 0.0176156 | + | 0.215962i | ||||
\(616\) | −737253. | + | 4.18117e6i | −0.0782825 | + | 0.443962i | ||||
\(617\) | 1.04114e6 | + | 873621.i | 0.110102 | + | 0.0923868i | 0.696177 | − | 0.717870i | \(-0.254883\pi\) |
−0.586074 | + | 0.810257i | \(0.699327\pi\) | |||||||
\(618\) | 4.70826e6 | − | 6.64066e6i | 0.495894 | − | 0.699423i | ||||
\(619\) | −5.45920e6 | − | 1.98698e6i | −0.572667 | − | 0.208434i | 0.0394221 | − | 0.999223i | \(-0.487448\pi\) |
−0.612089 | + | 0.790789i | \(0.709671\pi\) | |||||||
\(620\) | −510839. | −0.0533709 | ||||||||
\(621\) | 281372. | + | 417314.i | 0.0292787 | + | 0.0434244i | ||||
\(622\) | 1.22670e7 | 1.27135 | ||||||||
\(623\) | −3.90919e6 | − | 1.42283e6i | −0.403522 | − | 0.146870i | ||||
\(624\) | 2.02212e6 | + | 4.40385e6i | 0.207896 | + | 0.452763i | ||||
\(625\) | 4.04147e6 | + | 3.39119e6i | 0.413846 | + | 0.347258i | ||||
\(626\) | −1.33043e6 | + | 7.54526e6i | −0.135693 | + | 0.769552i | ||||
\(627\) | 845909. | − | 584931.i | 0.0859319 | − | 0.0594205i | ||||
\(628\) | −861519. | + | 722900.i | −0.0871697 | + | 0.0731441i | ||||
\(629\) | −8.44393e6 | − | 1.46253e7i | −0.850977 | − | 1.47394i | ||||
\(630\) | 34531.9 | − | 2.93708e6i | 0.00346632 | − | 0.294825i | ||||
\(631\) | −6.69017e6 | + | 1.15877e7i | −0.668904 | + | 1.15858i | 0.309307 | + | 0.950962i | \(0.399903\pi\) |
−0.978211 | + | 0.207613i | \(0.933430\pi\) | |||||||
\(632\) | 3.02147e6 | + | 1.71356e7i | 0.300902 | + | 1.70650i | ||||
\(633\) | 321653. | − | 1.17281e6i | 0.0319065 | − | 0.116337i | ||||
\(634\) | −8.47671e6 | + | 3.08527e6i | −0.837537 | + | 0.304839i | ||||
\(635\) | −982040. | + | 357433.i | −0.0966484 | + | 0.0351772i | ||||
\(636\) | 647941. | + | 655604.i | 0.0635174 | + | 0.0642686i | ||||
\(637\) | 415935. | + | 2.35888e6i | 0.0406141 | + | 0.230334i | ||||
\(638\) | 6.66883e6 | − | 1.15507e7i | 0.648631 | − | 1.12346i | ||||
\(639\) | 7.11064e6 | − | 8.27459e6i | 0.688901 | − | 0.801668i | ||||
\(640\) | 2.32853e6 | + | 4.03313e6i | 0.224715 | + | 0.389217i | ||||
\(641\) | 1.55200e7 | − | 1.30229e7i | 1.49193 | − | 1.25188i | 0.599755 | − | 0.800184i | \(-0.295265\pi\) |
0.892173 | − | 0.451693i | \(-0.149180\pi\) | |||||||
\(642\) | −7.40939e6 | − | 3.50823e6i | −0.709488 | − | 0.335931i | ||||
\(643\) | 2.81281e6 | − | 1.59522e7i | 0.268295 | − | 1.52158i | −0.491191 | − | 0.871052i | \(-0.663438\pi\) |
0.759486 | − | 0.650524i | \(-0.225451\pi\) | |||||||
\(644\) | −27572.3 | − | 23135.9i | −0.00261974 | − | 0.00219822i | ||||
\(645\) | −6.18755e6 | − | 578010.i | −0.585624 | − | 0.0547062i | ||||
\(646\) | 1.98333e6 | + | 721872.i | 0.186988 | + | 0.0680580i | ||||
\(647\) | 6.91898e6 | 0.649802 | 0.324901 | − | 0.945748i | \(-0.394669\pi\) | ||||
0.324901 | + | 0.945748i | \(0.394669\pi\) | |||||||
\(648\) | 1.52469e6 | + | 1.00191e7i | 0.142640 | + | 0.937325i | ||||
\(649\) | −4.59591e6 | −0.428311 | ||||||||
\(650\) | −4.07419e6 | − | 1.48288e6i | −0.378231 | − | 0.137665i | ||||
\(651\) | −1.07320e7 | − | 1.00253e6i | −0.992493 | − | 0.0927139i | ||||
\(652\) | −422514. | − | 354531.i | −0.0389244 | − | 0.0326615i | ||||
\(653\) | −1.17014e6 | + | 6.63621e6i | −0.107388 | + | 0.609028i | 0.882852 | + | 0.469652i | \(0.155621\pi\) |
−0.990240 | + | 0.139376i | \(0.955490\pi\) | |||||||
\(654\) | 8.75234e6 | + | 4.14409e6i | 0.800166 | + | 0.378866i | ||||
\(655\) | 4.26219e6 | − | 3.57641e6i | 0.388177 | − | 0.325719i | ||||
\(656\) | 3.21752e6 | + | 5.57290e6i | 0.291918 | + | 0.505617i | ||||
\(657\) | 5.15625e6 | + | 1.47022e7i | 0.466037 | + | 1.32883i | ||||
\(658\) | −3.44698e6 | + | 5.97035e6i | −0.310366 | + | 0.537570i | ||||
\(659\) | −2.39200e6 | − | 1.35657e7i | −0.214560 | − | 1.21683i | −0.881669 | − | 0.471868i | \(-0.843580\pi\) |
0.667110 | − | 0.744960i | \(-0.267531\pi\) | |||||||
\(660\) | 200263. | + | 202631.i | 0.0178954 | + | 0.0181070i | ||||
\(661\) | −9.38711e6 | + | 3.41663e6i | −0.835658 | + | 0.304155i | −0.724179 | − | 0.689612i | \(-0.757781\pi\) |
−0.111479 | + | 0.993767i | \(0.535559\pi\) | |||||||
\(662\) | −1.45953e7 | + | 5.31224e6i | −1.29440 | + | 0.471121i | ||||
\(663\) | 1.70016e6 | − | 6.19909e6i | 0.150212 | − | 0.547702i | ||||
\(664\) | −300813. | − | 1.70600e6i | −0.0264775 | − | 0.150161i | ||||
\(665\) | −247533. | + | 428740.i | −0.0217060 | + | 0.0375958i | ||||
\(666\) | 1.43651e7 | − | 8.07002e6i | 1.25494 | − | 0.705000i | ||||
\(667\) | −550073. | − | 952754.i | −0.0478746 | − | 0.0829213i | ||||
\(668\) | 1.14240e6 | − | 958585.i | 0.0990549 | − | 0.0831169i | ||||
\(669\) | −1.08437e6 | + | 749820.i | −0.0936721 | + | 0.0647727i | ||||
\(670\) | −529941. | + | 3.00544e6i | −0.0456079 | + | 0.258655i | ||||
\(671\) | −1.29495e6 | − | 1.08659e6i | −0.111031 | − | 0.0931664i | ||||
\(672\) | −635926. | − | 1.38495e6i | −0.0543230 | − | 0.118307i | ||||
\(673\) | −1.08774e7 | − | 3.95905e6i | −0.925737 | − | 0.336941i | −0.165219 | − | 0.986257i | \(-0.552833\pi\) |
−0.760519 | + | 0.649316i | \(0.775055\pi\) | |||||||
\(674\) | −269437. | −0.0228459 | ||||||||
\(675\) | −8.02421e6 | − | 5.83216e6i | −0.677865 | − | 0.492686i | ||||
\(676\) | −873649. | −0.0735310 | ||||||||
\(677\) | 1.25492e7 | + | 4.56755e6i | 1.05231 | + | 0.383011i | 0.809536 | − | 0.587071i | \(-0.199719\pi\) |
0.242779 | + | 0.970082i | \(0.421941\pi\) | |||||||
\(678\) | −8.32180e6 | + | 1.17373e7i | −0.695253 | + | 0.980605i | ||||
\(679\) | −9.70291e6 | − | 8.14171e6i | −0.807658 | − | 0.677705i | ||||
\(680\) | 987820. | − | 5.60221e6i | 0.0819229 | − | 0.464608i | ||||
\(681\) | −168303. | − | 2.06334e6i | −0.0139067 | − | 0.170492i | ||||
\(682\) | 9.39386e6 | − | 7.88239e6i | 0.773363 | − | 0.648928i | ||||
\(683\) | −1.02501e7 | − | 1.77536e7i | −0.840765 | − | 1.45625i | −0.889249 | − | 0.457424i | \(-0.848772\pi\) |
0.0484836 | − | 0.998824i | \(-0.484561\pi\) | |||||||
\(684\) | −61979.4 | + | 164252.i | −0.00506532 | + | 0.0134237i | ||||
\(685\) | −446788. | + | 773860.i | −0.0363811 | + | 0.0630139i | ||||
\(686\) | −2.36614e6 | − | 1.34190e7i | −0.191969 | − | 1.08871i | ||||
\(687\) | 1.33508e7 | − | 3.49335e6i | 1.07923 | − | 0.282391i | ||||
\(688\) | −1.84900e7 | + | 6.72981e6i | −1.48924 | + | 0.542041i | ||||
\(689\) | −5.21525e6 | + | 1.89820e6i | −0.418531 | + | 0.152333i | ||||
\(690\) | 266661. | − | 69774.2i | 0.0213224 | − | 0.00557920i | ||||
\(691\) | 3.25289e6 | + | 1.84480e7i | 0.259163 | + | 1.46979i | 0.785155 | + | 0.619299i | \(0.212583\pi\) |
−0.525991 | + | 0.850490i | \(0.676306\pi\) | |||||||
\(692\) | −50019.8 | + | 86636.8i | −0.00397079 | + | 0.00687761i | ||||
\(693\) | 3.80957e6 | + | 4.65001e6i | 0.301330 | + | 0.367808i | ||||
\(694\) | 6.02157e6 | + | 1.04297e7i | 0.474582 | + | 0.822000i | ||||
\(695\) | −6.68877e6 | + | 5.61254e6i | −0.525272 | + | 0.440755i | ||||
\(696\) | −1.80092e6 | − | 2.20787e7i | −0.140920 | − | 1.72763i | ||||
\(697\) | 1.48225e6 | − | 8.40626e6i | 0.115569 | − | 0.655422i | ||||
\(698\) | 5.02569e6 | + | 4.21706e6i | 0.390443 | + | 0.327621i | ||||
\(699\) | −1.03405e7 | + | 1.45845e7i | −0.800473 | + | 1.12901i | ||||
\(700\) | 666609. | + | 242626.i | 0.0514193 | + | 0.0187151i | ||||
\(701\) | −1.35917e7 | −1.04467 | −0.522333 | − | 0.852741i | \(-0.674938\pi\) | ||||
−0.522333 | + | 0.852741i | \(0.674938\pi\) | |||||||
\(702\) | 6.02824e6 | + | 1.72976e6i | 0.461687 | + | 0.132478i | ||||
\(703\) | −2.77707e6 | −0.211933 | ||||||||
\(704\) | −7.46574e6 | − | 2.71731e6i | −0.567729 | − | 0.206636i | ||||
\(705\) | −1.87817e6 | − | 4.09035e6i | −0.142319 | − | 0.309948i | ||||
\(706\) | −1.18397e7 | − | 9.93469e6i | −0.893983 | − | 0.750141i | ||||
\(707\) | −2.52731e6 | + | 1.43331e7i | −0.190156 | + | 1.07843i | ||||
\(708\) | 645280. | − | 446200.i | 0.0483799 | − | 0.0334539i | ||||
\(709\) | −4.19159e6 | + | 3.51716e6i | −0.313158 | + | 0.262771i | −0.785796 | − | 0.618486i | \(-0.787746\pi\) |
0.472638 | + | 0.881257i | \(0.343302\pi\) | |||||||
\(710\) | −2.98746e6 | − | 5.17444e6i | −0.222411 | − | 0.385227i | ||||
\(711\) | 2.11890e7 | + | 1.25679e7i | 1.57194 | + | 0.932371i | ||||
\(712\) | 3.93032e6 | − | 6.80752e6i | 0.290555 | − | 0.503256i | ||||
\(713\) | −175643. | − | 996121.i | −0.0129392 | − | 0.0733818i | ||||
\(714\) | −3.26292e6 | + | 1.18972e7i | −0.239530 | + | 0.873370i | ||||
\(715\) | −1.61191e6 | + | 586686.i | −0.117917 | + | 0.0429181i | ||||
\(716\) | −402826. | + | 146617.i | −0.0293653 | + | 0.0106881i | ||||
\(717\) | 6.43616e6 | + | 6.51228e6i | 0.467551 | + | 0.473080i | ||||
\(718\) | −476229. | − | 2.70083e6i | −0.0344750 | − | 0.195518i | ||||
\(719\) | 1.05477e7 | − | 1.82692e7i | 0.760914 | − | 1.31794i | −0.181466 | − | 0.983397i | \(-0.558084\pi\) |
0.942380 | − | 0.334545i | \(-0.108582\pi\) | |||||||
\(720\) | 5.96688e6 | + | 1.12461e6i | 0.428959 | + | 0.0808480i | ||||
\(721\) | −4.00974e6 | − | 6.94508e6i | −0.287262 | − | 0.497553i | ||||
\(722\) | −1.09529e7 | + | 9.19060e6i | −0.781965 | + | 0.656147i | ||||
\(723\) | 1.91126e7 | + | 9.04952e6i | 1.35980 | + | 0.643843i | ||||
\(724\) | 277189. | − | 1.57202e6i | 0.0196530 | − | 0.111458i | ||||
\(725\) | 1.66100e7 | + | 1.39375e7i | 1.17361 | + | 0.984780i | ||||
\(726\) | 7.97512e6 | + | 744997.i | 0.561559 | + | 0.0524581i | ||||
\(727\) | −1.63466e6 | − | 594967.i | −0.114707 | − | 0.0417501i | 0.284029 | − | 0.958816i | \(-0.408329\pi\) |
−0.398736 | + | 0.917066i | \(0.630551\pi\) | |||||||
\(728\) | 4.36368e6 | 0.305158 | ||||||||
\(729\) | 1.21658e7 | + | 7.60818e6i | 0.847855 | + | 0.530227i | ||||
\(730\) | 8.53251e6 | 0.592611 | ||||||||
\(731\) | 2.45266e7 | + | 8.92696e6i | 1.69763 | + | 0.617888i | ||||
\(732\) | 287308. | + | 26838.9i | 0.0198184 | + | 0.00185134i | ||||
\(733\) | −2.32665e6 | − | 1.95229e6i | −0.159945 | − | 0.134210i | 0.559303 | − | 0.828964i | \(-0.311069\pi\) |
−0.719248 | + | 0.694753i | \(0.755513\pi\) | |||||||
\(734\) | 384614. | − | 2.18126e6i | 0.0263503 | − | 0.149440i | ||||
\(735\) | 2.71258e6 | + | 1.28436e6i | 0.185210 | + | 0.0876939i | ||||
\(736\) | 109553. | − | 91925.8i | 0.00745468 | − | 0.00625522i | ||||
\(737\) | −3.12283e6 | − | 5.40889e6i | −0.211777 | − | 0.366809i | ||||
\(738\) | 8.18403e6 | + | 1.54248e6i | 0.553129 | + | 0.104251i | ||||
\(739\) | −1.93674e6 | + | 3.35453e6i | −0.130455 | + | 0.225954i | −0.923852 | − | 0.382750i | \(-0.874977\pi\) |
0.793397 | + | 0.608704i | \(0.208310\pi\) | |||||||
\(740\) | −133585. | − | 757600.i | −0.00896766 | − | 0.0508581i | ||||
\(741\) | −743030. | − | 751817.i | −0.0497119 | − | 0.0502999i | ||||
\(742\) | 1.00090e7 | − | 3.64298e6i | 0.667393 | − | 0.242911i | ||||
\(743\) | 1.34259e7 | − | 4.88663e6i | 0.892220 | − | 0.324741i | 0.145089 | − | 0.989419i | \(-0.453653\pi\) |
0.747131 | + | 0.664677i | \(0.231431\pi\) | |||||||
\(744\) | 5.38688e6 | − | 1.96416e7i | 0.356784 | − | 1.30090i | ||||
\(745\) | 1.95362e6 | + | 1.10795e7i | 0.128959 | + | 0.731360i | ||||
\(746\) | −1.35510e6 | + | 2.34711e6i | −0.0891507 | + | 0.154414i | ||||
\(747\) | −2.10955e6 | − | 1.25124e6i | −0.138321 | − | 0.0820427i | ||||
\(748\) | −598274. | − | 1.03624e6i | −0.0390972 | − | 0.0677184i | ||||
\(749\) | −6.18674e6 | + | 5.19129e6i | −0.402955 | + | 0.338120i | ||||
\(750\) | −9.80053e6 | + | 6.77690e6i | −0.636204 | + | 0.439924i | ||||
\(751\) | −2.89119e6 | + | 1.63967e7i | −0.187058 | + | 1.06086i | 0.736224 | + | 0.676738i | \(0.236607\pi\) |
−0.923282 | + | 0.384122i | \(0.874504\pi\) | |||||||
\(752\) | −1.09170e7 | − | 9.16046e6i | −0.703978 | − | 0.590708i | ||||
\(753\) | −1.66038e6 | − | 3.61604e6i | −0.106713 | − | 0.232405i | ||||
\(754\) | −1.28817e7 | − | 4.68854e6i | −0.825170 | − | 0.300337i | ||||
\(755\) | 7.00277e6 | 0.447098 | ||||||||
\(756\) | −986327. | − | 283019.i | −0.0627649 | − | 0.0180099i | ||||
\(757\) | 1.05939e7 | 0.671921 | 0.335960 | − | 0.941876i | \(-0.390939\pi\) | ||||
0.335960 | + | 0.941876i | \(0.390939\pi\) | |||||||
\(758\) | −2.20642e7 | − | 8.03070e6i | −1.39481 | − | 0.507669i | ||||
\(759\) | −326268. | + | 460178.i | −0.0205575 | + | 0.0289949i | ||||
\(760\) | −716596. | − | 601296.i | −0.0450029 | − | 0.0377619i | ||||
\(761\) | −1.68852e6 | + | 9.57607e6i | −0.105693 | + | 0.599412i | 0.885249 | + | 0.465118i | \(0.153988\pi\) |
−0.990941 | + | 0.134295i | \(0.957123\pi\) | |||||||
\(762\) | 348150. | + | 4.26821e6i | 0.0217210 | + | 0.266292i | ||||
\(763\) | 7.30808e6 | − | 6.13221e6i | 0.454456 | − | 0.381334i | ||||
\(764\) | −635078. | − | 1.09999e6i | −0.0393635 | − | 0.0681796i | ||||
\(765\) | −5.10431e6 | − | 6.23038e6i | −0.315343 | − | 0.384912i | ||||
\(766\) | 2.73732e6 | − | 4.74118e6i | 0.168560 | − | 0.291954i | ||||
\(767\) | 820254. | + | 4.65189e6i | 0.0503454 | + | 0.285523i | ||||
\(768\) | 4.38417e6 | − | 1.14716e6i | 0.268216 | − | 0.0701809i | ||||
\(769\) | 1.56285e6 | − | 568831.i | 0.0953019 | − | 0.0346870i | −0.293929 | − | 0.955827i | \(-0.594963\pi\) |
0.389231 | + | 0.921140i | \(0.372741\pi\) | |||||||
\(770\) | 3.09354e6 | − | 1.12596e6i | 0.188031 | − | 0.0684377i | ||||
\(771\) | −2.53687e7 | + | 6.63793e6i | −1.53696 | + | 0.402158i | ||||
\(772\) | 49883.6 | + | 282904.i | 0.00301242 | + | 0.0170843i | ||||
\(773\) | 937345. | − | 1.62353e6i | 0.0564223 | − | 0.0977262i | −0.836435 | − | 0.548067i | \(-0.815364\pi\) |
0.892857 | + | 0.450340i | \(0.148697\pi\) | |||||||
\(774\) | −8.99034e6 | + | 2.38254e7i | −0.539416 | + | 1.42951i | ||||
\(775\) | 9.96776e6 | + | 1.72647e7i | 0.596133 | + | 1.03253i | ||||
\(776\) | 1.83341e7 | − | 1.53841e7i | 1.09296 | − | 0.917104i | ||||
\(777\) | −1.31963e6 | − | 1.61782e7i | −0.0784152 | − | 0.961344i | ||||
\(778\) | −436146. | + | 2.47351e6i | −0.0258335 | + | 0.146509i | ||||
\(779\) | −1.07527e6 | − | 902260.i | −0.0634855 | − | 0.0532707i | ||||
\(780\) | 169358. | − | 238867.i | 0.00996708 | − | 0.0140579i | ||||
\(781\) | 1.14905e7 | + | 4.18220e6i | 0.674080 | + | 0.245345i | ||||
\(782\) | −1.15767e6 | −0.0676970 | ||||||||
\(783\) | −2.53708e7 | − | 1.84400e7i | −1.47887 | − | 1.07487i | ||||
\(784\) | 9.50282e6 | 0.552157 | ||||||||
\(785\) | −7.97294e6 | − | 2.90191e6i | −0.461790 | − | 0.168078i | ||||
\(786\) | −9.51377e6 | − | 2.07195e7i | −0.549283 | − | 1.19625i | ||||
\(787\) | −1.57265e7 | − | 1.31961e7i | −0.905099 | − | 0.759468i | 0.0660813 | − | 0.997814i | \(-0.478950\pi\) |
−0.971180 | + | 0.238346i | \(0.923395\pi\) | |||||||
\(788\) | −202132. | + | 1.14635e6i | −0.0115963 | + | 0.0657658i | ||||
\(789\) | 1.36619e7 | − | 9.44694e6i | 0.781299 | − | 0.540255i | ||||
\(790\) | 1.03354e7 | − | 8.67240e6i | 0.589194 | − | 0.494392i | ||||
\(791\) | 7.08719e6 | + | 1.22754e7i | 0.402747 | + | 0.697579i | ||||
\(792\) | −9.90290e6 | + | 5.56325e6i | −0.560983 | + | 0.315149i | ||||
\(793\) | −868710. | + | 1.50465e6i | −0.0490560 | + | 0.0849674i | ||||
\(794\) | 3.38284e6 | + | 1.91851e7i | 0.190428 | + | 1.07997i | ||||
\(795\) | −1.83931e6 | + | 6.70644e6i | −0.103213 | + | 0.376335i | ||||
\(796\) | 120271. | − | 43774.9i | 0.00672786 | − | 0.00244874i | ||||
\(797\) | −3.77532e6 | + | 1.37410e6i | −0.210527 | + | 0.0766256i | −0.445131 | − | 0.895465i | \(-0.646843\pi\) |
0.234604 | + | 0.972091i | \(0.424621\pi\) | |||||||
\(798\) | 1.42601e6 | + | 1.44287e6i | 0.0792711 | + | 0.0802086i | ||||
\(799\) | 3.28262e6 | + | 1.86167e7i | 0.181909 | + | 1.03166i | ||||
\(800\) | −1.40931e6 | + | 2.44100e6i | −0.0778541 | + | 0.134847i | ||||
\(801\) | −3.68332e6 | − | 1.05024e7i | −0.202842 | − | 0.578372i | ||||
\(802\) | −8.65837e6 | − | 1.49967e7i | −0.475335 | − | 0.823305i | ||||
\(803\) | −1.33768e7 | + | 1.12244e7i | −0.732087 | + | 0.614294i | ||||
\(804\) | 963584. | + | 456242.i | 0.0525714 | + | 0.0248917i | ||||
\(805\) | 47153.2 | − | 267419.i | 0.00256461 | − | 0.0145446i | ||||
\(806\) | −9.65497e6 | − | 8.10148e6i | −0.523496 | − | 0.439265i | ||||
\(807\) | −1.85793e7 | − | 1.73558e6i | −1.00426 | − | 0.0938127i | ||||
\(808\) | −2.58424e7 | − | 9.40585e6i | −1.39253 | − | 0.506839i | ||||
\(809\) | 9.10494e6 | 0.489109 | 0.244554 | − | 0.969636i | \(-0.421358\pi\) | ||||
0.244554 | + | 0.969636i | \(0.421358\pi\) | |||||||
\(810\) | 6.13682e6 | − | 4.90822e6i | 0.328648 | − | 0.262852i | ||||
\(811\) | −2.55204e7 | −1.36249 | −0.681247 | − | 0.732054i | \(-0.738562\pi\) | ||||
−0.681247 | + | 0.732054i | \(0.738562\pi\) | |||||||
\(812\) | 2.10767e6 | + | 767128.i | 0.112179 | + | 0.0408299i | ||||
\(813\) | −1.40425e7 | − | 1.31178e6i | −0.745107 | − | 0.0696043i | ||||
\(814\) | 1.41465e7 | + | 1.18703e7i | 0.748320 | + | 0.627915i | ||||
\(815\) | 722569. | − | 4.09789e6i | 0.0381053 | − | 0.216106i | ||||
\(816\) | −2.30489e7 | − | 1.09133e7i | −1.21178 | − | 0.573759i | ||||
\(817\) | 3.28790e6 | − | 2.75888e6i | 0.172331 | − | 0.144603i | ||||
\(818\) | 6.91744e6 | + | 1.19814e7i | 0.361462 | + | 0.626070i | ||||
\(819\) | 4.02674e6 | − | 4.68588e6i | 0.209770 | − | 0.244108i | ||||
\(820\) | 194417. | − | 336741.i | 0.0100972 | − | 0.0174888i | ||||
\(821\) | −5.96745e6 | − | 3.38431e7i | −0.308980 | − | 1.75231i | −0.604151 | − | 0.796870i | \(-0.706487\pi\) |
0.295170 | − | 0.955445i | \(-0.404624\pi\) | |||||||
\(822\) | 2.57390e6 | + | 2.60434e6i | 0.132865 | + | 0.134437i | ||||
\(823\) | 1.81341e7 | − | 6.60026e6i | 0.933245 | − | 0.339673i | 0.169750 | − | 0.985487i | \(-0.445704\pi\) |
0.763495 | + | 0.645814i | \(0.223482\pi\) | |||||||
\(824\) | 1.42393e7 | − | 5.18270e6i | 0.730587 | − | 0.265912i | ||||
\(825\) | 2.94063e6 | − | 1.07221e7i | 0.150420 | − | 0.548458i | ||||
\(826\) | −1.57422e6 | − | 8.92783e6i | −0.0802813 | − | 0.455298i | ||||
\(827\) | −1.42703e7 | + | 2.47169e7i | −0.725553 | + | 1.25670i | 0.233192 | + | 0.972431i | \(0.425083\pi\) |
−0.958746 | + | 0.284265i | \(0.908251\pi\) | |||||||
\(828\) | 1132.06 | − | 96286.6i | 5.73845e−5 | − | 0.00488079i | ||||
\(829\) | −2.90175e6 | − | 5.02597e6i | −0.146647 | − | 0.254000i | 0.783339 | − | 0.621595i | \(-0.213515\pi\) |
−0.929986 | + | 0.367594i | \(0.880181\pi\) | |||||||
\(830\) | −1.02897e6 | + | 863412.i | −0.0518453 | + | 0.0435033i | ||||
\(831\) | −1.64354e7 | + | 1.13648e7i | −0.825617 | + | 0.570900i | ||||
\(832\) | −1.41796e6 | + | 8.04165e6i | −0.0710159 | + | 0.402751i | ||||
\(833\) | −9.65622e6 | − | 8.10253e6i | −0.482164 | − | 0.404583i | ||||
\(834\) | 1.49302e7 | + | 3.25156e7i | 0.743277 | + | 1.61874i | ||||
\(835\) | 1.05723e7 | + | 3.84801e6i | 0.524753 | + | 0.190994i | ||||
\(836\) | −196763. | −0.00973705 | ||||||||
\(837\) | −1.61209e7 | − | 2.39096e7i | −0.795381 | − | 1.17966i | ||||
\(838\) | 1.11064e6 | 0.0546339 | ||||||||
\(839\) | 1.87894e7 | + | 6.83879e6i | 0.921528 | + | 0.335409i | 0.758846 | − | 0.651270i | \(-0.225763\pi\) |
0.162682 | + | 0.986679i | \(0.447986\pi\) | |||||||
\(840\) | 3.16241e6 | − | 4.46036e6i | 0.154640 | − | 0.218108i | ||||
\(841\) | 3.68047e7 | + | 3.08828e7i | 1.79438 | + | 1.50566i | ||||
\(842\) | −405835. | + | 2.30160e6i | −0.0197274 | + | 0.111879i | ||||
\(843\) | 971063. | + | 1.19049e7i | 0.0470629 | + | 0.576975i | ||||
\(844\) | −178233. | + | 149555.i | −0.00861257 | + | 0.00722680i | ||||
\(845\) | −3.29556e6 | − | 5.70808e6i | −0.158777 | − | 0.275010i | ||||
\(846\) | −1.81998e7 | + | 2.98894e6i | −0.874261 | + | 0.143579i | ||||
\(847\) | 3.94544e6 | − | 6.83370e6i | 0.188967 | − | 0.327301i | ||||
\(848\) | 3.82346e6 | + | 2.16839e7i | 0.182586 | + | 1.03550i | ||||
\(849\) | 2.50361e7 | − | 6.55092e6i | 1.19206 | − | 0.311913i | ||||
\(850\) | 2.14407e7 | − | 7.80377e6i | 1.01787 | − | 0.370474i | ||||
\(851\) | 1.43137e6 | − | 520975.i | 0.0677528 | − | 0.0246600i | ||||
\(852\) | −2.01934e6 | + | 528377.i | −0.0953037 | + | 0.0249370i | ||||
\(853\) | −624757. | − | 3.54317e6i | −0.0293994 | − | 0.166732i | 0.966573 | − | 0.256391i | \(-0.0825335\pi\) |
−0.995973 | + | 0.0896588i | \(0.971422\pi\) | |||||||
\(854\) | 1.66721e6 | − | 2.88770e6i | 0.0782251 | − | 0.135490i | ||||
\(855\) | −1.30696e6 | + | 214641.i | −0.0611429 | + | 0.0100415i | ||||
\(856\) | −7.63018e6 | − | 1.32159e7i | −0.355919 | − | 0.616469i | ||||
\(857\) | 7.30628e6 | − | 6.13070e6i | 0.339816 | − | 0.285140i | −0.456869 | − | 0.889534i | \(-0.651029\pi\) |
0.796685 | + | 0.604394i | \(0.206585\pi\) | |||||||
\(858\) | 571450. | + | 7.00578e6i | 0.0265008 | + | 0.324891i | ||||
\(859\) | 4.24731e6 | − | 2.40877e7i | 0.196395 | − | 1.11381i | −0.714023 | − | 0.700123i | \(-0.753129\pi\) |
0.910418 | − | 0.413690i | \(-0.135760\pi\) | |||||||
\(860\) | 910793. | + | 764246.i | 0.0419927 | + | 0.0352360i | ||||
\(861\) | 4.74529e6 | − | 6.69289e6i | 0.218150 | − | 0.307685i | ||||
\(862\) | 6.06198e6 | + | 2.20638e6i | 0.277873 | + | 0.101137i | ||||
\(863\) | −4.56914e6 | −0.208837 | −0.104419 | − | 0.994533i | \(-0.533298\pi\) | ||||
−0.104419 | + | 0.994533i | \(0.533298\pi\) | |||||||
\(864\) | 1.78796e6 | − | 3.66416e6i | 0.0814840 | − | 0.166990i | ||||
\(865\) | −754734. | −0.0342968 | ||||||||
\(866\) | −1.94998e7 | − | 7.09733e6i | −0.883557 | − | 0.321588i | ||||
\(867\) | 4.87990e6 | + | 1.06276e7i | 0.220477 | + | 0.480163i | ||||
\(868\) | 1.57972e6 | + | 1.32555e6i | 0.0711675 | + | 0.0597166i | ||||
\(869\) | −4.79471e6 | + | 2.71922e7i | −0.215384 | + | 1.22150i | ||||
\(870\) | −1.41279e7 | + | 9.76921e6i | −0.632820 | + | 0.437584i | ||||
\(871\) | −4.91743e6 | + | 4.12622e6i | −0.219631 | + | 0.184292i | ||||
\(872\) | 9.01315e6 | + | 1.56112e7i | 0.401408 | + | 0.695258i | ||||
\(873\) | 398382. | − | 3.38840e7i | 0.0176915 | − | 1.50473i | ||||
\(874\) | −95185.2 | + | 164866.i | −0.00421493 | + | 0.00730048i | ||||
\(875\) | 2.03836e6 | + | 1.15601e7i | 0.0900036 | + | 0.510436i | ||||
\(876\) | 788400. | − | 2.87465e6i | 0.0347125 | − | 0.126568i | ||||
\(877\) | 1.09013e7 | − | 3.96774e6i | 0.478606 | − | 0.174198i | −0.0914409 | − | 0.995811i | \(-0.529147\pi\) |
0.570047 | + | 0.821612i | \(0.306925\pi\) | |||||||
\(878\) | 3.82224e7 | − | 1.39118e7i | 1.67333 | − | 0.609043i | ||||
\(879\) | 1.29856e7 | + | 1.31392e7i | 0.566878 | + | 0.573582i | ||||
\(880\) | 1.18174e6 | + | 6.70198e6i | 0.0514417 | + | 0.291740i | ||||
\(881\) | −1.36913e7 | + | 2.37139e7i | −0.594297 | + | 1.02935i | 0.399349 | + | 0.916799i | \(0.369236\pi\) |
−0.993646 | + | 0.112553i | \(0.964097\pi\) | |||||||
\(882\) | 8.01547e6 | − | 9.32753e6i | 0.346943 | − | 0.403734i | ||||
\(883\) | 2.77132e6 | + | 4.80007e6i | 0.119615 | + | 0.207179i | 0.919615 | − | 0.392821i | \(-0.128501\pi\) |
−0.800000 | + | 0.600000i | \(0.795167\pi\) | |||||||
\(884\) | −942086. | + | 790504.i | −0.0405471 | + | 0.0340231i | ||||
\(885\) | 5.34940e6 | + | 2.53286e6i | 0.229587 | + | 0.108706i | ||||
\(886\) | −1.20709e6 | + | 6.84572e6i | −0.0516599 | + | 0.292978i | ||||
\(887\) | −3.12874e7 | − | 2.62533e7i | −1.33524 | − | 1.12040i | −0.982821 | − | 0.184562i | \(-0.940913\pi\) |
−0.352424 | − | 0.935841i | \(-0.614642\pi\) | |||||||
\(888\) | 3.05381e7 | + | 2.85272e6i | 1.29960 | + | 0.121402i | ||||
\(889\) | 3.96435e6 | + | 1.44291e6i | 0.168236 | + | 0.0612328i | ||||
\(890\) | −6.09512e6 | −0.257933 | ||||||||
\(891\) | −3.16423e6 | + | 1.57678e7i | −0.133528 | + | 0.665389i | ||||
\(892\) | 252229. | 0.0106141 | ||||||||
\(893\) | 2.92112e6 | + | 1.06320e6i | 0.122580 | + | 0.0446156i | ||||
\(894\) | 4.59014e7 | + | 4.28789e6i | 1.92080 | + | 0.179432i | ||||
\(895\) | −2.47746e6 | − | 2.07884e6i | −0.103383 | − | 0.0867488i | ||||
\(896\) | 3.26456e6 | − | 1.85143e7i | 0.135849 | − | 0.770435i | ||||
\(897\) | 524014. | + | 248112.i | 0.0217451 | + | 0.0102960i | ||||
\(898\) | −2.26754e7 | + | 1.90269e7i | −0.938347 | + | 0.787367i | ||||
\(899\) | 3.15158e7 | + | 5.45870e7i | 1.30056 | + | 2.25263i | ||||
\(900\) | 628093. | + | 1.79091e6i | 0.0258474 | + | 0.0736999i | ||||
\(901\) | 1.46035e7 | − | 2.52940e7i | 0.599301 | − | 1.03802i | ||||
\(902\) | 1.62085e6 | + | 9.19227e6i | 0.0663323 | + | 0.376189i | ||||
\(903\) | 1.76346e7 | + | 1.78431e7i | 0.719691 | + | 0.728202i | ||||
\(904\) | −2.51679e7 | + | 9.16037e6i | −1.02430 | + | 0.372814i | ||||
\(905\) | 1.13165e7 | − | 4.11888e6i | 0.459295 | − | 0.167170i | ||||
\(906\) | 7.58972e6 | − | 2.76735e7i | 0.307189 | − | 1.12007i | ||||
\(907\) | −7.88892e6 | − | 4.47403e7i | −0.318419 | − | 1.80584i | −0.552373 | − | 0.833597i | \(-0.686278\pi\) |
0.233954 | − | 0.972248i | \(-0.424833\pi\) | |||||||
\(908\) | −198035. | + | 343007.i | −0.00797127 | + | 0.0138066i | ||||
\(909\) | −3.39473e7 | + | 1.90709e7i | −1.36268 | + | 0.765528i | ||||
\(910\) | −1.69179e6 | − | 2.93027e6i | −0.0677241 | − | 0.117302i | ||||
\(911\) | −1.62935e7 | + | 1.36718e7i | −0.650455 | + | 0.545797i | −0.907209 | − | 0.420680i | \(-0.861791\pi\) |
0.256754 | + | 0.966477i | \(0.417347\pi\) | |||||||
\(912\) | −3.44927e6 | + | 2.38511e6i | −0.137322 | + | 0.0949559i | ||||
\(913\) | 477355. | − | 2.70721e6i | 0.0189524 | − | 0.107484i | ||||
\(914\) | −1.64680e7 | − | 1.38183e7i | −0.652040 | − | 0.547126i | ||||
\(915\) | 908421. | + | 1.97840e6i | 0.0358702 | + | 0.0781196i | ||||
\(916\) | −2.48104e6 | − | 903024.i | −0.0977000 | − | 0.0355599i | ||||
\(917\) | −2.24607e7 | −0.882062 | ||||||||
\(918\) | −3.01533e7 | + | 1.34185e7i | −1.18094 | + | 0.525532i | ||||
\(919\) | −2.95674e7 | −1.15485 | −0.577423 | − | 0.816445i | \(-0.695942\pi\) | ||||
−0.577423 | + | 0.816445i | \(0.695942\pi\) | |||||||
\(920\) | 482152. | + | 175489.i | 0.0187808 | + | 0.00683566i | ||||
\(921\) | 1.40296e7 | − | 1.97878e7i | 0.545001 | − | 0.768685i | ||||
\(922\) | 9.80970e6 | + | 8.23131e6i | 0.380039 | + | 0.318891i | ||||
\(923\) | 2.18238e6 | − | 1.23769e7i | 0.0843191 | − | 0.478197i | ||||
\(924\) | −93499.2 | − | 1.14627e6i | −0.00360270 | − | 0.0441679i | ||||
\(925\) | −2.29978e7 | + | 1.92974e7i | −0.883754 | + | 0.741558i | ||||
\(926\) | −4.84944e6 | − | 8.39947e6i | −0.185851 | − | 0.321903i | ||||
\(927\) | 7.57448e6 | − | 2.00732e7i | 0.289503 | − | 0.767217i | ||||
\(928\) | −4.45592e6 | + | 7.71788e6i | −0.169851 | + | 0.294190i | ||||
\(929\) | −3.49906e6 | − | 1.98442e7i | −0.133019 | − | 0.754386i | −0.976219 | − | 0.216787i | \(-0.930442\pi\) |
0.843200 | − | 0.537599i | \(-0.180669\pi\) | |||||||
\(930\) | −1.52781e7 | + | 3.99763e6i | −0.579243 | + | 0.151564i | ||||
\(931\) | −1.94783e6 | + | 708953.i | −0.0736508 | + | 0.0268067i | ||||
\(932\) | 3.21419e6 | − | 1.16987e6i | 0.121208 | − | 0.0441161i | ||||
\(933\) | 3.12779e7 | − | 8.18414e6i | 1.17634 | − | 0.307800i | ||||
\(934\) | −3.11044e6 | − | 1.76402e7i | −0.116669 | − | 0.661661i | ||||
\(935\) | 4.51359e6 | − | 7.81777e6i | 0.168847 | − | 0.292451i | ||||
\(936\) | 7.39843e6 | + | 9.03063e6i | 0.276026 | + | 0.336921i | ||||
\(937\) | −4.99124e6 | − | 8.64509e6i | −0.185720 | − | 0.321677i | 0.758099 | − | 0.652140i | \(-0.226129\pi\) |
−0.943819 | + | 0.330463i | \(0.892795\pi\) | |||||||
\(938\) | 9.43744e6 | − | 7.91896e6i | 0.350225 | − | 0.293874i | ||||
\(939\) | 1.64166e6 | + | 2.01262e7i | 0.0607601 | + | 0.744898i | ||||
\(940\) | −149532. | + | 848039.i | −0.00551969 | + | 0.0313037i | ||||
\(941\) | −2.18332e7 | − | 1.83202e7i | −0.803791 | − | 0.674460i | 0.145326 | − | 0.989384i | \(-0.453577\pi\) |
−0.949117 | + | 0.314923i | \(0.898021\pi\) | |||||||
\(942\) | −2.01090e7 | + | 2.83623e7i | −0.738350 | + | 1.04139i | ||||
\(943\) | 723482. | + | 263326.i | 0.0264941 | + | 0.00964305i | ||||
\(944\) | 1.87402e7 | 0.684456 | ||||||||
\(945\) | −1.87147e6 | − | 7.51187e6i | −0.0681715 | − | 0.273633i | ||||
\(946\) | −2.85412e7 | −1.03692 | ||||||||
\(947\) | −1.86328e7 | − | 6.78179e6i | −0.675155 | − | 0.245736i | −0.0183892 | − | 0.999831i | \(-0.505854\pi\) |
−0.656766 | + | 0.754095i | \(0.728076\pi\) | |||||||
\(948\) | −1.96680e6 | − | 4.28337e6i | −0.0710785 | − | 0.154798i | ||||
\(949\) | 1.37486e7 | + | 1.15364e7i | 0.495556 | + | 0.415821i | ||||
\(950\) | 651533. | − | 3.69503e6i | 0.0234222 | − | 0.132834i | ||||
\(951\) | −1.95551e7 | + | 1.35220e7i | −0.701148 | + | 0.484832i | ||||
\(952\) | −1.75916e7 | + | 1.47611e7i | −0.629090 | + | 0.527869i | ||||
\(953\) | −2.48702e7 | − | 4.30765e7i | −0.887048 | − | 1.53641i | −0.843348 | − | 0.537368i | \(-0.819419\pi\) |
−0.0437005 | − | 0.999045i | \(-0.513915\pi\) | |||||||
\(954\) | 2.45090e7 | + | 1.45371e7i | 0.871875 | + | 0.517139i | ||||
\(955\) | 4.79126e6 | − | 8.29870e6i | 0.169997 | − | 0.294443i | ||||
\(956\) | −304187. | − | 1.72513e6i | −0.0107645 | − | 0.0610488i | ||||
\(957\) | 9.29761e6 | − | 3.39008e7i | 0.328164 | − | 1.19655i | ||||
\(958\) | 1.36121e7 | − | 4.95441e6i | 0.479195 | − | 0.174413i | ||||
\(959\) | 3.38970e6 | − | 1.23375e6i | 0.119019 | − | 0.0433192i | ||||
\(960\) | 7.19220e6 | + | 7.27726e6i | 0.251874 | + | 0.254853i | ||||
\(961\) | 5.09188e6 | + | 2.88775e7i | 0.177856 | + | 1.00867i | ||||
\(962\) | 9.49011e6 | − | 1.64374e7i | 0.330623 | − | 0.572657i | ||||
\(963\) | −2.12327e7 | − | 4.00183e6i | −0.737801 | − | 0.139057i | ||||
\(964\) | −2.02290e6 | − | 3.50377e6i | −0.0701103 | − | 0.121435i | ||||
\(965\) | −1.66021e6 | + | 1.39308e6i | −0.0573913 | + | 0.0481570i | ||||
\(966\) | −1.00568e6 | − | 476173.i | −0.0346750 | − | 0.0164181i | ||||
\(967\) | −3.55112e6 | + | 2.01394e7i | −0.122124 | + | 0.692597i | 0.860851 | + | 0.508857i | \(0.169932\pi\) |
−0.982975 | + | 0.183740i | \(0.941179\pi\) | |||||||
\(968\) | 1.14219e7 | + | 9.58407e6i | 0.391785 | + | 0.328747i | ||||
\(969\) | 5.53860e6 | + | 517389.i | 0.189492 | + | 0.0177014i | ||||
\(970\) | −1.74387e7 | − | 6.34718e6i | −0.595094 | − | 0.216597i | ||||
\(971\) | 3.91500e7 | 1.33255 | 0.666275 | − | 0.745707i | \(-0.267888\pi\) | ||||
0.666275 | + | 0.745707i | \(0.267888\pi\) | |||||||
\(972\) | −1.08657e6 | − | 2.52105e6i | −0.0368885 | − | 0.0855885i | ||||
\(973\) | 3.52481e7 | 1.19359 | ||||||||
\(974\) | −3.22229e7 | − | 1.17282e7i | −1.08835 | − | 0.396126i | ||||
\(975\) | −1.13775e7 | − | 1.06283e6i | −0.383297 | − | 0.0358057i | ||||
\(976\) | 5.28027e6 | + | 4.43067e6i | 0.177432 | + | 0.148883i | ||||
\(977\) | −2.18527e6 | + | 1.23933e7i | −0.0732433 | + | 0.415383i | 0.926036 | + | 0.377434i | \(0.123194\pi\) |
−0.999280 | + | 0.0379490i | \(0.987918\pi\) | |||||||
\(978\) | −1.54109e7 | − | 7.29680e6i | −0.515205 | − | 0.243941i | ||||
\(979\) | 9.55558e6 | − | 8.01808e6i | 0.318640 | − | 0.267371i | ||||
\(980\) | −287102. | − | 497276.i | −0.00954930 | − | 0.0165399i | ||||
\(981\) | 2.50811e7 | + | 4.72716e6i | 0.832098 | + | 0.156830i | ||||
\(982\) | −2.37299e7 | + | 4.11013e7i | −0.785265 | + | 1.36012i | ||||
\(983\) | −5.42580e6 | − | 3.07713e7i | −0.179094 | − | 1.01569i | −0.933312 | − | 0.359067i | \(-0.883095\pi\) |
0.754218 | − | 0.656624i | \(-0.228016\pi\) | |||||||
\(984\) | 1.08974e7 | + | 1.10263e7i | 0.358785 | + | 0.363028i | ||||
\(985\) | −8.25224e6 | + | 3.00357e6i | −0.271008 | + | 0.0986387i | ||||
\(986\) | 6.77906e7 | − | 2.46738e7i | 2.22064 | − | 0.808246i | ||||
\(987\) | −4.80575e6 | + | 1.75226e7i | −0.157025 | + | 0.572540i | ||||
\(988\) | 35117.2 | + | 199160.i | 0.00114453 | + | 0.00649096i | ||||
\(989\) | −1.17710e6 | + | 2.03879e6i | −0.0382668 | + | 0.0662800i | ||||
\(990\) | 7.57513e6 | + | 4.49307e6i | 0.245642 | + | 0.145698i | ||||
\(991\) | −6.26173e6 | − | 1.08456e7i | −0.202540 | − | 0.350809i | 0.746806 | − | 0.665042i | \(-0.231586\pi\) |
−0.949346 | + | 0.314232i | \(0.898253\pi\) | |||||||
\(992\) | −6.27671e6 | + | 5.26679e6i | −0.202513 | + | 0.169929i | ||||
\(993\) | −3.36702e7 | + | 2.32824e7i | −1.08361 | + | 0.749297i | ||||
\(994\) | −4.18838e6 | + | 2.37535e7i | −0.134456 | + | 0.762538i | ||||
\(995\) | 739690. | + | 620674.i | 0.0236860 | + | 0.0198749i | ||||
\(996\) | 195811. | + | 426446.i | 0.00625446 | + | 0.0136212i | ||||
\(997\) | 1.89449e7 | + | 6.89539e6i | 0.603608 | + | 0.219695i | 0.625704 | − | 0.780060i | \(-0.284812\pi\) |
−0.0220959 | + | 0.999756i | \(0.507034\pi\) | |||||||
\(998\) | 1.11996e7 | 0.355938 | ||||||||
\(999\) | 3.12434e7 | − | 3.01605e7i | 0.990478 | − | 0.956146i |
(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 | 27.6.e.a.4.4 | ✓ | 84 | |
3.2 | odd | 2 | 81.6.e.a.64.11 | 84 | |||
27.7 | even | 9 | inner | 27.6.e.a.7.4 | yes | 84 | |
27.13 | even | 9 | 729.6.a.c.1.32 | 42 | |||
27.14 | odd | 18 | 729.6.a.e.1.11 | 42 | |||
27.20 | odd | 18 | 81.6.e.a.19.11 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.4 | ✓ | 84 | 1.1 | even | 1 | trivial | |
27.6.e.a.7.4 | yes | 84 | 27.7 | even | 9 | inner | |
81.6.e.a.19.11 | 84 | 27.20 | odd | 18 | |||
81.6.e.a.64.11 | 84 | 3.2 | odd | 2 | |||
729.6.a.c.1.32 | 42 | 27.13 | even | 9 | |||
729.6.a.e.1.11 | 42 | 27.14 | odd | 18 |