Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [67,5,Mod(2,67)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(67, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("67.2");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 67 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 67.h (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.92578752662\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 2.19 | ||
Character | \(\chi\) | \(=\) | 67.2 |
Dual form | 67.5.h.a.34.19 |
$q$-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 \(\left(\mathbb{Z}/67\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.64013 | + | 0.268673i | 1.41003 | + | 0.0671681i | 0.738723 | − | 0.674009i | \(-0.235429\pi\) |
0.671309 | + | 0.741177i | \(0.265732\pi\) | |||||||
\(3\) | −4.71637 | + | 16.0625i | −0.524041 | + | 1.78472i | 0.0905687 | + | 0.995890i | \(0.471132\pi\) |
−0.614610 | + | 0.788831i | \(0.710687\pi\) | |||||||
\(4\) | 15.8113 | + | 1.50980i | 0.988208 | + | 0.0943625i | ||||
\(5\) | 10.4042 | + | 9.01530i | 0.416168 | + | 0.360612i | 0.837633 | − | 0.546233i | \(-0.183939\pi\) |
−0.421465 | + | 0.906845i | \(0.638484\pi\) | |||||||
\(6\) | −30.9165 | + | 89.3274i | −0.858792 | + | 2.48132i | ||||
\(7\) | −5.20271 | − | 10.0919i | −0.106178 | − | 0.205956i | 0.829761 | − | 0.558119i | \(-0.188477\pi\) |
−0.935939 | + | 0.352163i | \(0.885446\pi\) | |||||||
\(8\) | −0.652485 | − | 0.0938132i | −0.0101951 | − | 0.00146583i | ||||
\(9\) | −167.618 | − | 107.721i | −2.06936 | − | 1.32989i | ||||
\(10\) | 56.2589 | + | 53.6428i | 0.562589 | + | 0.536428i | ||||
\(11\) | 61.2373 | − | 21.1944i | 0.506093 | − | 0.175161i | −0.0620775 | − | 0.998071i | \(-0.519773\pi\) |
0.568171 | + | 0.822911i | \(0.307651\pi\) | |||||||
\(12\) | −98.8233 | + | 246.849i | −0.686273 | + | 1.71423i | ||||
\(13\) | 172.452 | + | 219.291i | 1.02043 | + | 1.29758i | 0.954006 | + | 0.299786i | \(0.0969153\pi\) |
0.0664200 | + | 0.997792i | \(0.478842\pi\) | |||||||
\(14\) | −26.6326 | − | 58.3172i | −0.135881 | − | 0.297537i | ||||
\(15\) | −193.878 | + | 124.598i | −0.861681 | + | 0.553769i | ||||
\(16\) | −253.195 | − | 48.7992i | −0.989041 | − | 0.190622i | ||||
\(17\) | 183.683 | − | 17.5396i | 0.635583 | − | 0.0606908i | 0.227709 | − | 0.973729i | \(-0.426876\pi\) |
0.407873 | + | 0.913038i | \(0.366270\pi\) | |||||||
\(18\) | −916.445 | − | 652.598i | −2.82853 | − | 2.01419i | ||||
\(19\) | 374.380 | + | 193.007i | 1.03706 | + | 0.534644i | 0.890702 | − | 0.454587i | \(-0.150213\pi\) |
0.146363 | + | 0.989231i | \(0.453243\pi\) | |||||||
\(20\) | 150.893 | + | 158.252i | 0.377233 | + | 0.395630i | ||||
\(21\) | 186.638 | − | 35.9716i | 0.423216 | − | 0.0815682i | ||||
\(22\) | 351.081 | − | 103.087i | 0.725373 | − | 0.212989i | ||||
\(23\) | 92.8144 | + | 382.586i | 0.175453 | + | 0.723226i | 0.989754 | + | 0.142783i | \(0.0456052\pi\) |
−0.814301 | + | 0.580442i | \(0.802880\pi\) | |||||||
\(24\) | 4.58424 | − | 10.0381i | 0.00795875 | − | 0.0174272i | ||||
\(25\) | −61.9748 | − | 431.044i | −0.0991597 | − | 0.689671i | ||||
\(26\) | 913.735 | + | 1283.16i | 1.35168 | + | 1.89817i | ||||
\(27\) | 1496.04 | − | 1296.32i | 2.05218 | − | 1.77822i | ||||
\(28\) | −67.0252 | − | 167.421i | −0.0854913 | − | 0.213547i | ||||
\(29\) | 507.417 | − | 878.872i | 0.603349 | − | 1.04503i | −0.388961 | − | 0.921254i | \(-0.627166\pi\) |
0.992310 | − | 0.123777i | \(-0.0395008\pi\) | |||||||
\(30\) | −1126.97 | + | 650.659i | −1.25219 | + | 0.722955i | ||||
\(31\) | −226.585 | + | 288.126i | −0.235781 | + | 0.299819i | −0.889516 | − | 0.456904i | \(-0.848958\pi\) |
0.653736 | + | 0.756723i | \(0.273201\pi\) | |||||||
\(32\) | −1404.69 | − | 340.774i | −1.37177 | − | 0.332787i | ||||
\(33\) | 51.6175 | + | 1083.58i | 0.0473990 | + | 0.995026i | ||||
\(34\) | 1040.71 | − | 49.5752i | 0.900269 | − | 0.0428851i | ||||
\(35\) | 36.8510 | − | 151.902i | 0.0300824 | − | 0.124001i | ||||
\(36\) | −2487.63 | − | 1956.29i | −1.91946 | − | 1.50948i | ||||
\(37\) | −512.666 | − | 887.964i | −0.374482 | − | 0.648622i | 0.615767 | − | 0.787928i | \(-0.288846\pi\) |
−0.990249 | + | 0.139306i | \(0.955513\pi\) | |||||||
\(38\) | 2059.70 | + | 1189.17i | 1.42638 | + | 0.823523i | ||||
\(39\) | −4335.70 | + | 1735.75i | −2.85056 | + | 1.14119i | ||||
\(40\) | −5.94284 | − | 6.85840i | −0.00371427 | − | 0.00428650i | ||||
\(41\) | −1758.25 | + | 1252.05i | −1.04596 | + | 0.744823i | −0.967698 | − | 0.252110i | \(-0.918875\pi\) |
−0.0782587 | + | 0.996933i | \(0.524936\pi\) | |||||||
\(42\) | 1062.33 | − | 152.740i | 0.602227 | − | 0.0865872i | ||||
\(43\) | 1691.13 | + | 772.314i | 0.914620 | + | 0.417693i | 0.816410 | − | 0.577473i | \(-0.195961\pi\) |
0.0982099 | + | 0.995166i | \(0.468688\pi\) | |||||||
\(44\) | 1000.24 | − | 242.656i | 0.516654 | − | 0.125339i | ||||
\(45\) | −772.790 | − | 2631.88i | −0.381625 | − | 1.29969i | ||||
\(46\) | 420.695 | + | 2182.77i | 0.198816 | + | 1.03156i | ||||
\(47\) | 2197.56 | − | 2095.37i | 0.994821 | − | 0.948559i | −0.00385589 | − | 0.999993i | \(-0.501227\pi\) |
0.998676 | + | 0.0514331i | \(0.0163789\pi\) | |||||||
\(48\) | 1978.00 | − | 3836.78i | 0.858506 | − | 1.66527i | ||||
\(49\) | 1317.94 | − | 1850.79i | 0.548913 | − | 0.770840i | ||||
\(50\) | −233.736 | − | 2447.80i | −0.0934945 | − | 0.979119i | ||||
\(51\) | −584.589 | + | 3033.14i | −0.224755 | + | 1.16614i | ||||
\(52\) | 2395.61 | + | 3727.65i | 0.885951 | + | 1.37857i | ||||
\(53\) | −1397.74 | + | 638.324i | −0.497592 | + | 0.227243i | −0.648370 | − | 0.761325i | \(-0.724549\pi\) |
0.150779 | + | 0.988568i | \(0.451822\pi\) | |||||||
\(54\) | 8786.12 | − | 6909.48i | 3.01307 | − | 2.36951i | ||||
\(55\) | 828.199 | + | 331.561i | 0.273785 | + | 0.109607i | ||||
\(56\) | 2.44795 | + | 7.07287i | 0.000780595 | + | 0.00225538i | ||||
\(57\) | −4865.88 | + | 5103.19i | −1.49766 | + | 1.57070i | ||||
\(58\) | 3098.03 | − | 4820.62i | 0.920935 | − | 1.43300i | ||||
\(59\) | 200.378 | − | 1393.66i | 0.0575634 | − | 0.400362i | −0.940586 | − | 0.339555i | \(-0.889724\pi\) |
0.998150 | − | 0.0608069i | \(-0.0193674\pi\) | |||||||
\(60\) | −3253.59 | + | 1677.34i | −0.903775 | + | 0.465929i | ||||
\(61\) | −4742.81 | − | 1641.50i | −1.27461 | − | 0.441146i | −0.395806 | − | 0.918334i | \(-0.629535\pi\) |
−0.878801 | + | 0.477188i | \(0.841656\pi\) | |||||||
\(62\) | −1355.38 | + | 1564.19i | −0.352597 | + | 0.406918i | ||||
\(63\) | −215.042 | + | 2252.02i | −0.0541804 | + | 0.567402i | ||||
\(64\) | −3872.52 | − | 1137.08i | −0.945440 | − | 0.277606i | ||||
\(65\) | −182.743 | + | 3836.25i | −0.0432528 | + | 0.907989i | ||||
\(66\) | 6125.42i | 1.40620i | ||||||||
\(67\) | 2355.58 | − | 3821.30i | 0.524745 | − | 0.851259i | ||||
\(68\) | 2930.76 | 0.633815 | ||||||||
\(69\) | −6583.04 | − | 313.589i | −1.38270 | − | 0.0658661i | ||||
\(70\) | 248.656 | − | 846.845i | 0.0507461 | − | 0.172826i | ||||
\(71\) | 1968.37 | + | 187.957i | 0.390473 | + | 0.0372857i | 0.288447 | − | 0.957496i | \(-0.406861\pi\) |
0.102027 | + | 0.994782i | \(0.467467\pi\) | |||||||
\(72\) | 99.2625 | + | 86.0115i | 0.0191479 | + | 0.0165917i | ||||
\(73\) | −2171.26 | + | 6273.44i | −0.407442 | + | 1.17723i | 0.535577 | + | 0.844486i | \(0.320094\pi\) |
−0.943019 | + | 0.332739i | \(0.892027\pi\) | |||||||
\(74\) | −2652.93 | − | 5145.97i | −0.484465 | − | 0.939732i | ||||
\(75\) | 7215.94 | + | 1037.50i | 1.28283 | + | 0.184444i | ||||
\(76\) | 5628.05 | + | 3616.93i | 0.974386 | + | 0.626200i | ||||
\(77\) | −532.491 | − | 507.729i | −0.0898113 | − | 0.0856349i | ||||
\(78\) | −24920.3 | + | 8624.99i | −4.09603 | + | 1.41765i | ||||
\(79\) | 2740.84 | − | 6846.29i | 0.439167 | − | 1.09699i | −0.529431 | − | 0.848353i | \(-0.677594\pi\) |
0.968598 | − | 0.248633i | \(-0.0799814\pi\) | |||||||
\(80\) | −2194.35 | − | 2790.34i | −0.342867 | − | 0.435991i | ||||
\(81\) | 7061.89 | + | 15463.4i | 1.07634 | + | 2.35686i | ||||
\(82\) | −10253.2 | + | 6589.31i | −1.52486 | + | 0.979969i | ||||
\(83\) | −9353.06 | − | 1802.66i | −1.35768 | − | 0.261672i | −0.542100 | − | 0.840314i | \(-0.682370\pi\) |
−0.815581 | + | 0.578643i | \(0.803583\pi\) | |||||||
\(84\) | 3005.31 | − | 286.972i | 0.425923 | − | 0.0406707i | ||||
\(85\) | 2069.20 | + | 1473.47i | 0.286395 | + | 0.203941i | ||||
\(86\) | 9330.71 | + | 4810.31i | 1.26159 | + | 0.650394i | ||||
\(87\) | 11723.7 | + | 12295.5i | 1.54891 | + | 1.62445i | ||||
\(88\) | −41.9447 | + | 8.08419i | −0.00541642 | + | 0.00104393i | ||||
\(89\) | −14005.3 | + | 4112.34i | −1.76813 | + | 0.519169i | −0.993558 | − | 0.113322i | \(-0.963851\pi\) |
−0.774568 | + | 0.632490i | \(0.782033\pi\) | |||||||
\(90\) | −3651.52 | − | 15051.8i | −0.450805 | − | 1.85824i | ||||
\(91\) | 1315.83 | − | 2881.27i | 0.158898 | − | 0.347937i | ||||
\(92\) | 889.892 | + | 6189.33i | 0.105138 | + | 0.731254i | ||||
\(93\) | −3559.37 | − | 4998.43i | −0.411535 | − | 0.577920i | ||||
\(94\) | 12957.5 | − | 11227.7i | 1.46644 | − | 1.27068i | ||||
\(95\) | 2155.12 | + | 5383.23i | 0.238794 | + | 0.596480i | ||||
\(96\) | 12098.7 | − | 20955.6i | 1.31279 | − | 2.27383i | ||||
\(97\) | 6743.97 | − | 3893.63i | 0.716757 | − | 0.413820i | −0.0968007 | − | 0.995304i | \(-0.530861\pi\) |
0.813558 | + | 0.581484i | \(0.197528\pi\) | |||||||
\(98\) | 7930.61 | − | 10084.6i | 0.825761 | − | 1.05004i | ||||
\(99\) | −12547.6 | − | 3044.00i | −1.28023 | − | 0.310581i | ||||
\(100\) | −329.114 | − | 6908.96i | −0.0329114 | − | 0.690896i | ||||
\(101\) | 4618.86 | − | 220.023i | 0.452785 | − | 0.0215688i | 0.180049 | − | 0.983658i | \(-0.442374\pi\) |
0.272736 | + | 0.962089i | \(0.412071\pi\) | |||||||
\(102\) | −4112.08 | + | 16950.2i | −0.395240 | + | 1.62920i | ||||
\(103\) | 1156.04 | + | 909.117i | 0.108967 | + | 0.0856930i | 0.671156 | − | 0.741316i | \(-0.265798\pi\) |
−0.562189 | + | 0.827009i | \(0.690040\pi\) | |||||||
\(104\) | −91.9501 | − | 159.262i | −0.00850130 | − | 0.0147247i | ||||
\(105\) | 2266.12 | + | 1308.34i | 0.205544 | + | 0.118671i | ||||
\(106\) | −8054.91 | + | 3224.70i | −0.716884 | + | 0.286997i | ||||
\(107\) | 11406.7 | + | 13164.1i | 0.996309 | + | 1.14980i | 0.988712 | + | 0.149831i | \(0.0478728\pi\) |
0.00759716 | + | 0.999971i | \(0.497582\pi\) | |||||||
\(108\) | 25611.5 | − | 18237.9i | 2.19577 | − | 1.56360i | ||||
\(109\) | −4552.06 | + | 654.487i | −0.383137 | + | 0.0550868i | −0.331193 | − | 0.943563i | \(-0.607451\pi\) |
−0.0519446 | + | 0.998650i | \(0.516542\pi\) | |||||||
\(110\) | 4582.07 | + | 2092.56i | 0.378683 | + | 0.172939i | ||||
\(111\) | 16680.8 | − | 4046.73i | 1.35385 | − | 0.328441i | ||||
\(112\) | 824.824 | + | 2809.09i | 0.0657544 | + | 0.223939i | ||||
\(113\) | −1280.22 | − | 6642.42i | −0.100260 | − | 0.520199i | −0.996984 | − | 0.0776082i | \(-0.975272\pi\) |
0.896724 | − | 0.442590i | \(-0.145940\pi\) | |||||||
\(114\) | −28815.3 | + | 27475.3i | −2.21724 | + | 2.11414i | ||||
\(115\) | −2483.47 | + | 4817.26i | −0.187786 | + | 0.364254i | ||||
\(116\) | 9349.86 | − | 13130.0i | 0.694847 | − | 0.975776i | ||||
\(117\) | −5283.74 | − | 55333.8i | −0.385984 | − | 4.04221i | ||||
\(118\) | 1504.60 | − | 7806.59i | 0.108058 | − | 0.560657i | ||||
\(119\) | −1132.66 | − | 1762.45i | −0.0799844 | − | 0.124458i | ||||
\(120\) | 138.192 | − | 63.1100i | 0.00959664 | − | 0.00438264i | ||||
\(121\) | −8207.80 | + | 6454.69i | −0.560604 | + | 0.440864i | ||||
\(122\) | −26309.1 | − | 10532.6i | −1.76761 | − | 0.707643i | ||||
\(123\) | −11818.4 | − | 34147.1i | −0.781176 | − | 2.25706i | ||||
\(124\) | −4017.63 | + | 4213.57i | −0.261292 | + | 0.274035i | ||||
\(125\) | 7892.98 | − | 12281.7i | 0.505151 | − | 0.786030i | ||||
\(126\) | −1817.92 | + | 12643.9i | −0.114507 | + | 0.796417i | ||||
\(127\) | −20683.2 | + | 10662.9i | −1.28236 | + | 0.661103i | −0.958524 | − | 0.285011i | \(-0.908003\pi\) |
−0.323836 | + | 0.946113i | \(0.604973\pi\) | |||||||
\(128\) | 318.937 | + | 110.385i | 0.0194664 | + | 0.00673737i | ||||
\(129\) | −20381.3 | + | 23521.3i | −1.22476 | + | 1.41345i | ||||
\(130\) | −2061.39 | + | 21587.9i | −0.121976 | + | 1.27739i | ||||
\(131\) | 22129.4 | + | 6497.79i | 1.28952 | + | 0.378637i | 0.853402 | − | 0.521253i | \(-0.174535\pi\) |
0.436117 | + | 0.899890i | \(0.356353\pi\) | |||||||
\(132\) | −819.853 | + | 17210.8i | −0.0470531 | + | 0.987766i | ||||
\(133\) | − | 4782.35i | − | 0.270357i | ||||||
\(134\) | 14312.5 | − | 20919.8i | 0.797085 | − | 1.16506i | ||||
\(135\) | 27251.8 | 1.49530 | ||||||||
\(136\) | −121.496 | − | 5.78758i | −0.00656878 | − | 0.000312910i | ||||
\(137\) | 9471.60 | − | 32257.3i | 0.504641 | − | 1.71865i | −0.174516 | − | 0.984654i | \(-0.555836\pi\) |
0.679156 | − | 0.733994i | \(-0.262346\pi\) | |||||||
\(138\) | −37044.9 | − | 3537.36i | −1.94523 | − | 0.185747i | ||||
\(139\) | −3452.67 | − | 2991.76i | −0.178700 | − | 0.154845i | 0.560918 | − | 0.827872i | \(-0.310448\pi\) |
−0.739618 | + | 0.673027i | \(0.764994\pi\) | |||||||
\(140\) | 812.004 | − | 2346.13i | 0.0414288 | − | 0.119701i | ||||
\(141\) | 23292.3 | + | 45180.8i | 1.17159 | + | 2.27256i | ||||
\(142\) | 11051.4 | + | 1588.95i | 0.548075 | + | 0.0788013i | ||||
\(143\) | 15208.2 | + | 9773.74i | 0.743715 | + | 0.477957i | ||||
\(144\) | 37183.2 | + | 35454.1i | 1.79317 | + | 1.70979i | ||||
\(145\) | 13202.6 | − | 4569.45i | 0.627946 | − | 0.217334i | ||||
\(146\) | −13931.7 | + | 34799.6i | −0.653578 | + | 1.63256i | ||||
\(147\) | 23512.4 | + | 29898.4i | 1.08808 | + | 1.38361i | ||||
\(148\) | −6765.29 | − | 14813.9i | −0.308861 | − | 0.676311i | ||||
\(149\) | −1868.05 | + | 1200.52i | −0.0841425 | + | 0.0540751i | −0.582036 | − | 0.813163i | \(-0.697744\pi\) |
0.497893 | + | 0.867238i | \(0.334107\pi\) | |||||||
\(150\) | 40420.1 | + | 7790.34i | 1.79645 | + | 0.346237i | ||||
\(151\) | −28041.8 | + | 2677.67i | −1.22985 | + | 0.117437i | −0.689677 | − | 0.724117i | \(-0.742248\pi\) |
−0.540174 | + | 0.841554i | \(0.681641\pi\) | |||||||
\(152\) | −226.171 | − | 161.056i | −0.00978927 | − | 0.00697090i | ||||
\(153\) | −32678.0 | − | 16846.7i | −1.39596 | − | 0.719667i | ||||
\(154\) | −2866.91 | − | 3006.72i | −0.120885 | − | 0.126780i | ||||
\(155\) | −4954.98 | + | 954.995i | −0.206243 | + | 0.0397500i | ||||
\(156\) | −71173.9 | + | 20898.5i | −2.92463 | + | 0.858750i | ||||
\(157\) | −5113.54 | − | 21078.3i | −0.207454 | − | 0.855139i | −0.976425 | − | 0.215855i | \(-0.930746\pi\) |
0.768971 | − | 0.639284i | \(-0.220769\pi\) | |||||||
\(158\) | 17298.1 | − | 37877.6i | 0.692923 | − | 1.51729i | ||||
\(159\) | −3660.84 | − | 25461.7i | −0.144806 | − | 1.00715i | ||||
\(160\) | −11542.5 | − | 16209.2i | −0.450879 | − | 0.633171i | ||||
\(161\) | 3378.12 | − | 2927.16i | 0.130324 | − | 0.112926i | ||||
\(162\) | 35675.4 | + | 89112.9i | 1.35937 | + | 3.39555i | ||||
\(163\) | −1067.26 | + | 1848.55i | −0.0401693 | + | 0.0695753i | −0.885411 | − | 0.464809i | \(-0.846123\pi\) |
0.845242 | + | 0.534384i | \(0.179456\pi\) | |||||||
\(164\) | −29690.7 | + | 17141.9i | −1.10391 | + | 0.637341i | ||||
\(165\) | −9231.79 | + | 11739.2i | −0.339092 | + | 0.431191i | ||||
\(166\) | −52268.2 | − | 12680.1i | −1.89680 | − | 0.460158i | ||||
\(167\) | −721.266 | − | 15141.2i | −0.0258620 | − | 0.542911i | −0.974205 | − | 0.225664i | \(-0.927545\pi\) |
0.948343 | − | 0.317246i | \(-0.102758\pi\) | |||||||
\(168\) | −125.153 | + | 5.96179i | −0.00443429 | + | 0.000211231i | ||||
\(169\) | −11615.2 | + | 47878.3i | −0.406679 | + | 1.67635i | ||||
\(170\) | 11274.7 | + | 8866.52i | 0.390128 | + | 0.306800i | ||||
\(171\) | −41961.9 | − | 72680.2i | −1.43504 | − | 2.48556i | ||||
\(172\) | 25573.0 | + | 14764.6i | 0.864420 | + | 0.499073i | ||||
\(173\) | 47965.0 | − | 19202.3i | 1.60262 | − | 0.641594i | 0.613636 | − | 0.789589i | \(-0.289706\pi\) |
0.988988 | + | 0.147995i | \(0.0472818\pi\) | |||||||
\(174\) | 62819.7 | + | 72497.9i | 2.07490 | + | 2.39457i | ||||
\(175\) | −4027.60 | + | 2868.04i | −0.131514 | + | 0.0936503i | ||||
\(176\) | −16539.2 | + | 2377.98i | −0.533936 | + | 0.0767685i | ||||
\(177\) | 21440.6 | + | 9791.59i | 0.684369 | + | 0.312541i | ||||
\(178\) | −80096.8 | + | 19431.3i | −2.52799 | + | 0.613283i | ||||
\(179\) | −5464.48 | − | 18610.3i | −0.170547 | − | 0.580828i | −0.999760 | − | 0.0218966i | \(-0.993030\pi\) |
0.829214 | − | 0.558932i | \(-0.188789\pi\) | |||||||
\(180\) | −8245.23 | − | 42780.3i | −0.254482 | − | 1.32038i | ||||
\(181\) | −31082.3 | + | 29636.9i | −0.948759 | + | 0.904640i | −0.995547 | − | 0.0942646i | \(-0.969950\pi\) |
0.0467878 | + | 0.998905i | \(0.485102\pi\) | |||||||
\(182\) | 8195.58 | − | 15897.2i | 0.247421 | − | 0.479930i | ||||
\(183\) | 48735.5 | − | 68439.5i | 1.45527 | − | 2.04364i | ||||
\(184\) | −24.6684 | − | 258.339i | −0.000728627 | − | 0.00763053i | ||||
\(185\) | 2671.37 | − | 13860.4i | 0.0780532 | − | 0.404979i | ||||
\(186\) | −18732.4 | − | 29148.1i | −0.541460 | − | 0.842529i | ||||
\(187\) | 10876.5 | − | 4967.14i | 0.311033 | − | 0.142044i | ||||
\(188\) | 37909.9 | − | 29812.7i | 1.07260 | − | 0.843501i | ||||
\(189\) | −20865.7 | − | 8353.39i | −0.584131 | − | 0.233851i | ||||
\(190\) | 10708.8 | + | 30941.1i | 0.296644 | + | 0.857095i | ||||
\(191\) | 30742.9 | − | 32242.2i | 0.842709 | − | 0.883808i | −0.151805 | − | 0.988410i | \(-0.548509\pi\) |
0.994514 | + | 0.104603i | \(0.0333571\pi\) | |||||||
\(192\) | 36528.5 | − | 56839.5i | 0.990900 | − | 1.54187i | ||||
\(193\) | −3410.52 | + | 23720.7i | −0.0915600 | + | 0.636814i | 0.891431 | + | 0.453157i | \(0.149702\pi\) |
−0.982991 | + | 0.183656i | \(0.941207\pi\) | |||||||
\(194\) | 39083.0 | − | 20148.7i | 1.03845 | − | 0.535357i | ||||
\(195\) | −60757.9 | − | 21028.5i | −1.59784 | − | 0.553018i | ||||
\(196\) | 23632.7 | − | 27273.6i | 0.615179 | − | 0.709954i | ||||
\(197\) | −4322.28 | + | 45265.0i | −0.111373 | + | 1.16635i | 0.751079 | + | 0.660213i | \(0.229534\pi\) |
−0.862452 | + | 0.506139i | \(0.831072\pi\) | |||||||
\(198\) | −69952.0 | − | 20539.8i | −1.78431 | − | 0.523920i | ||||
\(199\) | −2255.68 | + | 47352.5i | −0.0569601 | + | 1.19574i | 0.771700 | + | 0.635987i | \(0.219407\pi\) |
−0.828660 | + | 0.559753i | \(0.810896\pi\) | |||||||
\(200\) | 287.064i | 0.00717661i | ||||||||
\(201\) | 50269.8 | + | 55859.2i | 1.24427 | + | 1.38262i | ||||
\(202\) | 26110.1 | 0.639890 | ||||||||
\(203\) | −11509.4 | − | 548.260i | −0.279293 | − | 0.0133044i | ||||
\(204\) | −13822.6 | + | 47075.3i | −0.332145 | + | 1.13118i | ||||
\(205\) | −29580.8 | − | 2824.63i | −0.703886 | − | 0.0672130i | ||||
\(206\) | 6275.94 | + | 5438.13i | 0.147892 | + | 0.128149i | ||||
\(207\) | 25655.4 | − | 74126.4i | 0.598740 | − | 1.72995i | ||||
\(208\) | −32962.7 | − | 63938.7i | −0.761897 | − | 1.47787i | ||||
\(209\) | 27016.7 | + | 3884.41i | 0.618500 | + | 0.0889269i | ||||
\(210\) | 12429.7 | + | 7988.07i | 0.281852 | + | 0.181135i | ||||
\(211\) | 17370.6 | + | 16562.9i | 0.390167 | + | 0.372024i | 0.859620 | − | 0.510934i | \(-0.170700\pi\) |
−0.469453 | + | 0.882958i | \(0.655549\pi\) | |||||||
\(212\) | −23063.8 | + | 7982.46i | −0.513168 | + | 0.177609i | ||||
\(213\) | −12302.6 | + | 30730.5i | −0.271169 | + | 0.677346i | ||||
\(214\) | 60798.7 | + | 77311.8i | 1.32760 | + | 1.68818i | ||||
\(215\) | 10632.2 | + | 23281.4i | 0.230011 | + | 0.503653i | ||||
\(216\) | −1097.75 | + | 705.484i | −0.0235287 | + | 0.0151210i | ||||
\(217\) | 4086.59 | + | 787.625i | 0.0867843 | + | 0.0167263i | ||||
\(218\) | −25850.0 | + | 2468.38i | −0.543936 | + | 0.0519396i | ||||
\(219\) | −90526.6 | − | 64463.7i | −1.88750 | − | 1.34409i | ||||
\(220\) | 12594.3 | + | 6492.84i | 0.260214 | + | 0.134150i | ||||
\(221\) | 35522.9 | + | 37255.3i | 0.727316 | + | 0.762787i | ||||
\(222\) | 95169.3 | − | 18342.4i | 1.93104 | − | 0.372177i | ||||
\(223\) | 12936.2 | − | 3798.40i | 0.260133 | − | 0.0763820i | −0.149065 | − | 0.988827i | \(-0.547626\pi\) |
0.409199 | + | 0.912445i | \(0.365808\pi\) | |||||||
\(224\) | 3869.15 | + | 15948.9i | 0.0771117 | + | 0.317859i | ||||
\(225\) | −36044.7 | + | 78926.8i | −0.711993 | + | 1.55905i | ||||
\(226\) | −5435.98 | − | 37808.1i | −0.106429 | − | 0.740231i | ||||
\(227\) | −2584.92 | − | 3630.01i | −0.0501644 | − | 0.0704460i | 0.788732 | − | 0.614737i | \(-0.210738\pi\) |
−0.838896 | + | 0.544291i | \(0.816799\pi\) | |||||||
\(228\) | −84640.9 | + | 73341.8i | −1.62821 | + | 1.41085i | ||||
\(229\) | 22822.2 | + | 57007.2i | 0.435198 | + | 1.08707i | 0.970218 | + | 0.242233i | \(0.0778798\pi\) |
−0.535020 | + | 0.844839i | \(0.679696\pi\) | |||||||
\(230\) | −15301.4 | + | 26502.7i | −0.289250 | + | 0.500997i | ||||
\(231\) | 10666.8 | − | 6158.49i | 0.199899 | − | 0.115412i | ||||
\(232\) | −413.532 | + | 525.848i | −0.00768304 | + | 0.00976978i | ||||
\(233\) | 29903.5 | + | 7254.51i | 0.550821 | + | 0.133628i | 0.501504 | − | 0.865156i | \(-0.332780\pi\) |
0.0493170 | + | 0.998783i | \(0.484296\pi\) | |||||||
\(234\) | −14934.3 | − | 313510.i | −0.272743 | − | 5.72558i | ||||
\(235\) | 41754.2 | − | 1989.00i | 0.756075 | − | 0.0360163i | ||||
\(236\) | 5272.39 | − | 21733.1i | 0.0946637 | − | 0.390209i | ||||
\(237\) | 97041.7 | + | 76314.4i | 1.72767 | + | 1.35866i | ||||
\(238\) | −5914.82 | − | 10244.8i | −0.104421 | − | 0.180863i | ||||
\(239\) | 69254.3 | + | 39984.0i | 1.21241 | + | 0.699988i | 0.963285 | − | 0.268483i | \(-0.0865222\pi\) |
0.249129 | + | 0.968470i | \(0.419856\pi\) | |||||||
\(240\) | 55169.2 | − | 22086.4i | 0.957798 | − | 0.383445i | ||||
\(241\) | −41458.2 | − | 47845.3i | −0.713800 | − | 0.823769i | 0.276747 | − | 0.960943i | \(-0.410744\pi\) |
−0.990547 | + | 0.137173i | \(0.956198\pi\) | |||||||
\(242\) | −48027.3 | + | 34200.1i | −0.820082 | + | 0.583978i | ||||
\(243\) | −122976. | + | 17681.3i | −2.08262 | + | 0.299435i | ||||
\(244\) | −72511.9 | − | 33115.1i | −1.21795 | − | 0.556219i | ||||
\(245\) | 30397.5 | − | 7374.35i | 0.506414 | − | 0.122855i | ||||
\(246\) | −57483.0 | − | 195769.i | −0.949881 | − | 3.23500i | ||||
\(247\) | 22238.2 | + | 115382.i | 0.364506 | + | 1.89124i | ||||
\(248\) | 174.874 | − | 166.742i | 0.00284329 | − | 0.00271107i | ||||
\(249\) | 73067.7 | − | 141732.i | 1.17849 | − | 2.28596i | ||||
\(250\) | 47817.2 | − | 67149.9i | 0.765075 | − | 1.07440i | ||||
\(251\) | 1994.90 | + | 20891.5i | 0.0316645 | + | 0.331606i | 0.997399 | + | 0.0720747i | \(0.0229620\pi\) |
−0.965735 | + | 0.259531i | \(0.916432\pi\) | |||||||
\(252\) | −6800.20 | + | 35282.8i | −0.107083 | + | 0.555599i | ||||
\(253\) | 13792.4 | + | 21461.4i | 0.215476 | + | 0.335287i | ||||
\(254\) | −119521. | + | 54583.3i | −1.85257 | + | 0.846042i | ||||
\(255\) | −33426.8 | + | 26287.1i | −0.514061 | + | 0.404262i | ||||
\(256\) | 61719.6 | + | 24708.8i | 0.941767 | + | 0.377027i | ||||
\(257\) | −17179.2 | − | 49635.9i | −0.260097 | − | 0.751501i | −0.997134 | − | 0.0756493i | \(-0.975897\pi\) |
0.737037 | − | 0.675852i | \(-0.236224\pi\) | |||||||
\(258\) | −121273. | + | 127187.i | −1.82190 | + | 1.91075i | ||||
\(259\) | −6293.95 | + | 9793.57i | −0.0938261 | + | 0.145996i | ||||
\(260\) | −8681.38 | + | 60380.4i | −0.128423 | + | 0.893201i | ||||
\(261\) | −179725. | + | 92654.9i | −2.63833 | + | 1.36015i | ||||
\(262\) | 123067. | + | 42593.9i | 1.79283 | + | 0.620505i | ||||
\(263\) | −59335.4 | + | 68476.7i | −0.857832 | + | 0.989991i | 0.142168 | + | 0.989843i | \(0.454593\pi\) |
−1.00000 | 0.000148078i | \(0.999953\pi\) | ||||||||
\(264\) | 67.9749 | − | 711.865i | 0.000975305 | − | 0.0102139i | ||||
\(265\) | −20297.0 | − | 5959.74i | −0.289028 | − | 0.0848663i | ||||
\(266\) | 1284.89 | − | 26973.1i | 0.0181594 | − | 0.381213i | ||||
\(267\) | − | 244356.i | − | 3.42768i | ||||||
\(268\) | 43014.3 | − | 56863.5i | 0.598885 | − | 0.791705i | ||||
\(269\) | 1408.25 | 0.0194614 | 0.00973070 | − | 0.999953i | \(-0.496903\pi\) | ||||
0.00973070 | + | 0.999953i | \(0.496903\pi\) | |||||||
\(270\) | 153704. | + | 7321.81i | 2.10842 | + | 0.100436i | ||||
\(271\) | 1866.00 | − | 6355.00i | 0.0254081 | − | 0.0865321i | −0.945813 | − | 0.324712i | \(-0.894733\pi\) |
0.971221 | + | 0.238180i | \(0.0765508\pi\) | |||||||
\(272\) | −47363.5 | − | 4522.67i | −0.640186 | − | 0.0611304i | ||||
\(273\) | 40074.4 | + | 34724.7i | 0.537702 | + | 0.465921i | ||||
\(274\) | 62087.7 | − | 179391.i | 0.826998 | − | 2.38945i | ||||
\(275\) | −12930.9 | − | 25082.5i | −0.170987 | − | 0.331669i | ||||
\(276\) | −103613. | − | 14897.3i | −1.36018 | − | 0.195565i | ||||
\(277\) | −74940.0 | − | 48161.0i | −0.976684 | − | 0.627677i | −0.0481172 | − | 0.998842i | \(-0.515322\pi\) |
−0.928567 | + | 0.371165i | \(0.878958\pi\) | |||||||
\(278\) | −18669.7 | − | 17801.5i | −0.241573 | − | 0.230339i | ||||
\(279\) | 69017.1 | − | 23887.1i | 0.886642 | − | 0.306870i | ||||
\(280\) | −38.2951 | + | 95.6566i | −0.000488458 | + | 0.00122011i | ||||
\(281\) | 1671.64 | + | 2125.67i | 0.0211705 | + | 0.0269205i | 0.796523 | − | 0.604608i | \(-0.206670\pi\) |
−0.775353 | + | 0.631529i | \(0.782428\pi\) | |||||||
\(282\) | 119233. | + | 261084.i | 1.49933 | + | 3.28308i | ||||
\(283\) | 48402.4 | − | 31106.3i | 0.604358 | − | 0.388397i | −0.202380 | − | 0.979307i | \(-0.564868\pi\) |
0.806738 | + | 0.590910i | \(0.201231\pi\) | |||||||
\(284\) | 30838.9 | + | 5943.70i | 0.382350 | + | 0.0736920i | ||||
\(285\) | −96632.4 | + | 9227.28i | −1.18969 | + | 0.113601i | ||||
\(286\) | 83150.5 | + | 59211.2i | 1.01656 | + | 0.723889i | ||||
\(287\) | 21783.2 | + | 11230.0i | 0.264458 | + | 0.136338i | ||||
\(288\) | 198742. | + | 208435.i | 2.39610 | + | 2.51296i | ||||
\(289\) | −48579.7 | + | 9362.98i | −0.581647 | + | 0.112103i | ||||
\(290\) | 75691.8 | − | 22225.1i | 0.900022 | − | 0.264270i | ||||
\(291\) | 30734.4 | + | 126689.i | 0.362943 | + | 1.49607i | ||||
\(292\) | −43802.1 | + | 95913.3i | −0.513723 | + | 1.12490i | ||||
\(293\) | −4011.24 | − | 27898.8i | −0.0467244 | − | 0.324975i | −0.999756 | − | 0.0221034i | \(-0.992964\pi\) |
0.953031 | − | 0.302872i | \(-0.0979454\pi\) | |||||||
\(294\) | 124580. | + | 174948.i | 1.44130 | + | 2.02402i | ||||
\(295\) | 14649.0 | − | 12693.5i | 0.168331 | − | 0.145860i | ||||
\(296\) | 251.204 | + | 627.478i | 0.00286711 | + | 0.00716169i | ||||
\(297\) | 64138.3 | − | 111091.i | 0.727118 | − | 1.25941i | ||||
\(298\) | −10858.6 | + | 6269.21i | −0.122276 | + | 0.0705960i | ||||
\(299\) | −67891.6 | + | 86331.1i | −0.759405 | + | 0.965662i | ||||
\(300\) | 112527. | + | 27298.8i | 1.25030 | + | 0.303320i | ||||
\(301\) | −1004.39 | − | 21084.8i | −0.0110859 | − | 0.232721i | ||||
\(302\) | −158879. | + | 7568.34i | −1.74202 | + | 0.0829825i | ||||
\(303\) | −18250.1 | + | 75228.1i | −0.198784 | + | 0.819398i | ||||
\(304\) | −85372.5 | − | 67137.7i | −0.923785 | − | 0.726472i | ||||
\(305\) | −34546.6 | − | 59836.4i | −0.371369 | − | 0.643229i | ||||
\(306\) | −179782. | − | 103797.i | −1.92001 | − | 1.10852i | ||||
\(307\) | −101105. | + | 40476.4i | −1.07275 | + | 0.429462i | −0.839726 | − | 0.543010i | \(-0.817285\pi\) |
−0.233019 | + | 0.972472i | \(0.574860\pi\) | |||||||
\(308\) | −7652.83 | − | 8831.83i | −0.0806715 | − | 0.0930999i | ||||
\(309\) | −20055.0 | + | 14281.1i | −0.210042 | + | 0.149570i | ||||
\(310\) | −28203.3 | + | 4055.03i | −0.293479 | + | 0.0421959i | ||||
\(311\) | −46695.8 | − | 21325.3i | −0.482789 | − | 0.220482i | 0.159126 | − | 0.987258i | \(-0.449132\pi\) |
−0.641915 | + | 0.766776i | \(0.721860\pi\) | |||||||
\(312\) | 2991.82 | − | 725.807i | 0.0307345 | − | 0.00745611i | ||||
\(313\) | −504.027 | − | 1716.56i | −0.00514476 | − | 0.0175215i | 0.956881 | − | 0.290482i | \(-0.0938155\pi\) |
−0.962025 | + | 0.272960i | \(0.911997\pi\) | |||||||
\(314\) | −23177.9 | − | 120258.i | −0.235079 | − | 1.21971i | ||||
\(315\) | −22540.0 | + | 21491.8i | −0.227160 | + | 0.216597i | ||||
\(316\) | 53672.9 | − | 104111.i | 0.537503 | − | 1.04261i | ||||
\(317\) | −55771.8 | + | 78320.5i | −0.555004 | + | 0.779394i | −0.992813 | − | 0.119674i | \(-0.961815\pi\) |
0.437809 | + | 0.899068i | \(0.355755\pi\) | |||||||
\(318\) | −13806.7 | − | 144591.i | −0.136533 | − | 1.42984i | ||||
\(319\) | 12445.6 | − | 64574.1i | 0.122303 | − | 0.634566i | ||||
\(320\) | −30039.5 | − | 46742.3i | −0.293354 | − | 0.456468i | ||||
\(321\) | −265246. | + | 121134.i | −2.57418 | + | 1.17559i | ||||
\(322\) | 19839.5 | − | 15601.9i | 0.191346 | − | 0.150476i | ||||
\(323\) | 72152.7 | + | 28885.6i | 0.691588 | + | 0.276870i | ||||
\(324\) | 88311.4 | + | 255159.i | 0.841253 | + | 2.43064i | ||||
\(325\) | 83836.3 | − | 87925.0i | 0.793717 | − | 0.832426i | ||||
\(326\) | −6516.13 | + | 10139.3i | −0.0613133 | + | 0.0954053i | ||||
\(327\) | 10956.5 | − | 76204.1i | 0.102465 | − | 0.712661i | ||||
\(328\) | 1264.69 | − | 651.995i | 0.0117554 | − | 0.00606033i | ||||
\(329\) | −32579.4 | − | 11275.8i | −0.300990 | − | 0.104174i | ||||
\(330\) | −55222.5 | + | 63730.2i | −0.507094 | + | 0.585217i | ||||
\(331\) | 9064.92 | − | 94932.1i | 0.0827385 | − | 0.866477i | −0.854883 | − | 0.518820i | \(-0.826371\pi\) |
0.937622 | − | 0.347657i | \(-0.113023\pi\) | |||||||
\(332\) | −145163. | − | 42623.6i | −1.31698 | − | 0.386700i | ||||
\(333\) | −9720.76 | + | 204064.i | −0.0876620 | + | 1.84025i | ||||
\(334\) | − | 85592.3i | − | 0.767259i | ||||||
\(335\) | 58958.1 | − | 18521.4i | 0.525357 | − | 0.165038i | ||||
\(336\) | −49011.2 | −0.434127 | ||||||||
\(337\) | 30924.4 | + | 1473.11i | 0.272296 | + | 0.0129711i | 0.183286 | − | 0.983060i | \(-0.441327\pi\) |
0.0890102 | + | 0.996031i | \(0.471630\pi\) | |||||||
\(338\) | −78374.6 | + | 266919.i | −0.686028 | + | 2.33640i | ||||
\(339\) | 112732. | + | 10764.6i | 0.980950 | + | 0.0936694i | ||||
\(340\) | 30492.2 | + | 26421.7i | 0.263774 | + | 0.228561i | ||||
\(341\) | −7768.78 | + | 22446.4i | −0.0668104 | + | 0.193036i | ||||
\(342\) | −217144. | − | 421200.i | −1.85650 | − | 3.60110i | ||||
\(343\) | −52518.3 | − | 7550.99i | −0.446398 | − | 0.0641823i | ||||
\(344\) | −1030.99 | − | 662.574i | −0.00871236 | − | 0.00559909i | ||||
\(345\) | −65664.2 | − | 62610.7i | −0.551684 | − | 0.526030i | ||||
\(346\) | 275688. | − | 95416.4i | 2.30285 | − | 0.797023i | ||||
\(347\) | 18678.4 | − | 46656.5i | 0.155125 | − | 0.387483i | −0.830364 | − | 0.557221i | \(-0.811868\pi\) |
0.985489 | + | 0.169737i | \(0.0542920\pi\) | |||||||
\(348\) | 166804. | + | 212108.i | 1.37736 | + | 1.75145i | ||||
\(349\) | 64356.6 | + | 140921.i | 0.528375 | + | 1.15698i | 0.966170 | + | 0.257905i | \(0.0830322\pi\) |
−0.437795 | + | 0.899075i | \(0.644241\pi\) | |||||||
\(350\) | −23486.8 | + | 15094.0i | −0.191729 | + | 0.123217i | ||||
\(351\) | 542266. | + | 104513.i | 4.40147 | + | 0.848314i | ||||
\(352\) | −93241.8 | + | 8903.52i | −0.752533 | + | 0.0718582i | ||||
\(353\) | −90955.0 | − | 64768.8i | −0.729923 | − | 0.519776i | 0.153617 | − | 0.988130i | \(-0.450908\pi\) |
−0.883541 | + | 0.468354i | \(0.844847\pi\) | |||||||
\(354\) | 118297. | + | 60986.3i | 0.943990 | + | 0.486660i | ||||
\(355\) | 18784.9 | + | 19701.0i | 0.149057 | + | 0.156326i | ||||
\(356\) | −227652. | + | 43876.3i | −1.79627 | + | 0.346202i | ||||
\(357\) | 33651.4 | − | 9880.95i | 0.264038 | − | 0.0775286i | ||||
\(358\) | −25820.3 | − | 106433.i | −0.201463 | − | 0.830442i | ||||
\(359\) | 66460.0 | − | 145527.i | 0.515670 | − | 1.12916i | −0.455383 | − | 0.890295i | \(-0.650498\pi\) |
0.971053 | − | 0.238864i | \(-0.0767749\pi\) | |||||||
\(360\) | 257.329 | + | 1789.76i | 0.00198556 | + | 0.0138099i | ||||
\(361\) | 27315.6 | + | 38359.4i | 0.209602 | + | 0.294345i | ||||
\(362\) | −183271. | + | 158805.i | −1.39854 | + | 1.21185i | ||||
\(363\) | −64967.3 | − | 162280.i | −0.493039 | − | 1.23155i | ||||
\(364\) | 25155.2 | − | 43570.1i | 0.189856 | − | 0.328841i | ||||
\(365\) | −79147.1 | + | 45695.6i | −0.594086 | + | 0.342996i | ||||
\(366\) | 293262. | − | 372914.i | 2.18924 | − | 2.78385i | ||||
\(367\) | −38198.5 | − | 9266.85i | −0.283605 | − | 0.0688018i | 0.0914332 | − | 0.995811i | \(-0.470855\pi\) |
−0.375038 | + | 0.927009i | \(0.622370\pi\) | |||||||
\(368\) | −4830.18 | − | 101398.i | −0.0356671 | − | 0.748745i | ||||
\(369\) | 429587. | − | 20463.8i | 3.15499 | − | 0.150291i | ||||
\(370\) | 18790.8 | − | 77456.7i | 0.137259 | − | 0.565790i | ||||
\(371\) | 13713.9 | + | 10784.7i | 0.0996352 | + | 0.0783540i | ||||
\(372\) | −48731.7 | − | 84405.8i | −0.352149 | − | 0.609939i | ||||
\(373\) | −178608. | − | 103119.i | −1.28376 | − | 0.741177i | −0.306223 | − | 0.951960i | \(-0.599065\pi\) |
−0.977533 | + | 0.210783i | \(0.932399\pi\) | |||||||
\(374\) | 62679.5 | − | 25093.1i | 0.448108 | − | 0.179395i | ||||
\(375\) | 160049. | + | 184706.i | 1.13812 | + | 1.31347i | ||||
\(376\) | −1630.45 | + | 1161.04i | −0.0115327 | + | 0.00821240i | ||||
\(377\) | 280233. | − | 40291.5i | 1.97168 | − | 0.283485i | ||||
\(378\) | −115441. | − | 52720.2i | −0.807937 | − | 0.368972i | ||||
\(379\) | −187279. | + | 45433.3i | −1.30380 | + | 0.316298i | −0.826745 | − | 0.562577i | \(-0.809810\pi\) |
−0.477052 | + | 0.878875i | \(0.658295\pi\) | |||||||
\(380\) | 25947.7 | + | 88369.9i | 0.179693 | + | 0.611980i | ||||
\(381\) | −73723.5 | − | 382514.i | −0.507874 | − | 2.63510i | ||||
\(382\) | 182056. | − | 173590.i | 1.24761 | − | 1.18959i | ||||
\(383\) | 15997.3 | − | 31030.5i | 0.109056 | − | 0.211539i | −0.827992 | − | 0.560740i | \(-0.810517\pi\) |
0.937048 | + | 0.349201i | \(0.113547\pi\) | |||||||
\(384\) | −3277.28 | + | 4602.30i | −0.0222255 | + | 0.0312114i | ||||
\(385\) | −962.818 | − | 10083.1i | −0.00649565 | − | 0.0680255i | ||||
\(386\) | −25608.9 | + | 132871.i | −0.171876 | + | 0.891778i | ||||
\(387\) | −200269. | − | 311625.i | −1.33719 | − | 2.08070i | ||||
\(388\) | 112510. | − | 51381.5i | 0.747355 | − | 0.341305i | ||||
\(389\) | 64852.2 | − | 51000.3i | 0.428574 | − | 0.337034i | −0.380459 | − | 0.924798i | \(-0.624234\pi\) |
0.809033 | + | 0.587764i | \(0.199992\pi\) | |||||||
\(390\) | −337033. | − | 134927.i | −2.21586 | − | 0.887097i | ||||
\(391\) | 23758.9 | + | 68646.8i | 0.155408 | + | 0.449021i | ||||
\(392\) | −1033.56 | + | 1083.97i | −0.00672613 | + | 0.00705416i | ||||
\(393\) | −208741. | + | 324808.i | −1.35152 | + | 2.10301i | ||||
\(394\) | −36539.7 | + | 254139.i | −0.235381 | + | 1.63711i | ||||
\(395\) | 90237.6 | − | 46520.7i | 0.578354 | − | 0.298162i | ||||
\(396\) | −193798. | − | 67074.1i | −1.23583 | − | 0.427725i | ||||
\(397\) | 99313.5 | − | 114614.i | 0.630126 | − | 0.727204i | −0.347471 | − | 0.937691i | \(-0.612960\pi\) |
0.977597 | + | 0.210487i | \(0.0675050\pi\) | |||||||
\(398\) | −25444.6 | + | 266468.i | −0.160631 | + | 1.68221i | ||||
\(399\) | 76816.5 | + | 22555.4i | 0.482513 | + | 0.141678i | ||||
\(400\) | −5342.95 | + | 112162.i | −0.0333935 | + | 0.701015i | ||||
\(401\) | − | 148474.i | − | 0.923339i | −0.887052 | − | 0.461669i | \(-0.847251\pi\) | ||
0.887052 | − | 0.461669i | \(-0.152749\pi\) | |||||||
\(402\) | 268521. | + | 328559.i | 1.66160 | + | 2.03311i | ||||
\(403\) | −102259. | −0.629636 | ||||||||
\(404\) | 73362.5 | + | 3494.69i | 0.449481 | + | 0.0214114i | ||||
\(405\) | −65933.6 | + | 224549.i | −0.401973 | + | 1.36899i | ||||
\(406\) | −64767.2 | − | 6184.51i | −0.392919 | − | 0.0375192i | ||||
\(407\) | −50214.1 | − | 43510.8i | −0.303136 | − | 0.262669i | ||||
\(408\) | 665.984 | − | 1924.23i | 0.00400077 | − | 0.0115595i | ||||
\(409\) | 56388.0 | + | 109377.i | 0.337086 | + | 0.653855i | 0.995070 | − | 0.0991769i | \(-0.0316210\pi\) |
−0.657984 | + | 0.753032i | \(0.728591\pi\) | |||||||
\(410\) | −166081. | − | 23878.8i | −0.987988 | − | 0.142051i | ||||
\(411\) | 473461. | + | 304275.i | 2.80286 | + | 1.80129i | ||||
\(412\) | 16905.9 | + | 16119.7i | 0.0995964 | + | 0.0949650i | ||||
\(413\) | −15107.1 | + | 5228.63i | −0.0885690 | + | 0.0306540i | ||||
\(414\) | 164616. | − | 411190.i | 0.960440 | − | 2.39906i | ||||
\(415\) | −81059.7 | − | 103076.i | −0.470662 | − | 0.598495i | ||||
\(416\) | −167513. | − | 366802.i | −0.967970 | − | 2.11956i | ||||
\(417\) | 64339.2 | − | 41348.3i | 0.370001 | − | 0.237785i | ||||
\(418\) | 151334. | + | 29167.2i | 0.866132 | + | 0.166933i | ||||
\(419\) | −166319. | + | 15881.5i | −0.947357 | + | 0.0904616i | −0.557283 | − | 0.830322i | \(-0.688156\pi\) |
−0.390073 | + | 0.920784i | \(0.627550\pi\) | |||||||
\(420\) | 33855.0 | + | 24108.0i | 0.191922 | + | 0.136667i | ||||
\(421\) | −33072.9 | − | 17050.2i | −0.186598 | − | 0.0961981i | 0.362396 | − | 0.932024i | \(-0.381959\pi\) |
−0.548994 | + | 0.835826i | \(0.684989\pi\) | |||||||
\(422\) | 93522.6 | + | 98083.7i | 0.525160 | + | 0.550772i | ||||
\(423\) | −594066. | + | 114497.i | −3.32012 | + | 0.639901i | ||||
\(424\) | 971.885 | − | 285.371i | 0.00540609 | − | 0.00158737i | ||||
\(425\) | −18944.1 | − | 78088.7i | −0.104881 | − | 0.432325i | ||||
\(426\) | −77645.0 | + | 170019.i | −0.427853 | + | 0.936867i | ||||
\(427\) | 8109.68 | + | 56404.1i | 0.0444783 | + | 0.309353i | ||||
\(428\) | 160481. | + | 225364.i | 0.876063 | + | 1.23026i | ||||
\(429\) | −228718. | + | 198186.i | −1.24276 | + | 1.07686i | ||||
\(430\) | 53712.2 | + | 134167.i | 0.290493 | + | 0.725617i | ||||
\(431\) | 92578.4 | − | 160351.i | 0.498374 | − | 0.863209i | −0.501624 | − | 0.865086i | \(-0.667264\pi\) |
0.999998 | + | 0.00187663i | \(0.000597350\pi\) | |||||||
\(432\) | −442048. | + | 255216.i | −2.36865 | + | 1.36754i | ||||
\(433\) | −70837.5 | + | 90077.3i | −0.377822 | + | 0.480440i | −0.937359 | − | 0.348366i | \(-0.886737\pi\) |
0.559536 | + | 0.828806i | \(0.310979\pi\) | |||||||
\(434\) | 22837.3 | + | 5540.26i | 0.121245 | + | 0.0294138i | ||||
\(435\) | 11128.6 | + | 233617.i | 0.0588112 | + | 1.23460i | ||||
\(436\) | −72962.2 | + | 3475.62i | −0.383818 | + | 0.0182835i | ||||
\(437\) | −39093.7 | + | 161147.i | −0.204713 | + | 0.843837i | ||||
\(438\) | −493262. | − | 387906.i | −2.57116 | − | 2.02198i | ||||
\(439\) | 189903. | + | 328921.i | 0.985377 | + | 1.70672i | 0.640249 | + | 0.768167i | \(0.278831\pi\) |
0.345128 | + | 0.938556i | \(0.387835\pi\) | |||||||
\(440\) | −509.283 | − | 294.035i | −0.00263059 | − | 0.00151877i | ||||
\(441\) | −420280. | + | 168255.i | −2.16103 | + | 0.865147i | ||||
\(442\) | 190344. | + | 219669.i | 0.974305 | + | 1.12441i | ||||
\(443\) | 224382. | − | 159782.i | 1.14335 | − | 0.814178i | 0.158464 | − | 0.987365i | \(-0.449346\pi\) |
0.984889 | + | 0.173187i | \(0.0554063\pi\) | |||||||
\(444\) | 269856. | − | 38799.4i | 1.36888 | − | 0.196816i | ||||
\(445\) | −182788. | − | 83476.6i | −0.923057 | − | 0.421546i | ||||
\(446\) | 73982.2 | − | 17947.9i | 0.371927 | − | 0.0902285i | ||||
\(447\) | −10473.0 | − | 35667.6i | −0.0524149 | − | 0.178509i | ||||
\(448\) | 8672.43 | + | 44996.8i | 0.0432100 | + | 0.224195i | ||||
\(449\) | −43424.5 | + | 41405.1i | −0.215398 | + | 0.205382i | −0.790095 | − | 0.612985i | \(-0.789969\pi\) |
0.574696 | + | 0.818367i | \(0.305120\pi\) | |||||||
\(450\) | −224502. | + | 435473.i | −1.10865 | + | 2.15048i | ||||
\(451\) | −81134.3 | + | 113937.i | −0.398888 | + | 0.560160i | ||||
\(452\) | −10213.3 | − | 106958.i | −0.0499906 | − | 0.523525i | ||||
\(453\) | 89245.7 | − | 463051.i | 0.434901 | − | 2.25648i | ||||
\(454\) | −13604.0 | − | 21168.2i | −0.0660017 | − | 0.102701i | ||||
\(455\) | 39665.7 | − | 18114.7i | 0.191598 | − | 0.0875001i | ||||
\(456\) | 3653.66 | − | 2873.27i | 0.0175711 | − | 0.0138181i | ||||
\(457\) | −332176. | − | 132983.i | −1.59051 | − | 0.636743i | −0.603492 | − | 0.797369i | \(-0.706225\pi\) |
−0.987015 | + | 0.160626i | \(0.948649\pi\) | |||||||
\(458\) | 113404. | + | 327659.i | 0.540627 | + | 1.56204i | ||||
\(459\) | 252060. | − | 264353.i | 1.19641 | − | 1.25475i | ||||
\(460\) | −46540.0 | + | 72417.7i | −0.219943 | + | 0.342239i | ||||
\(461\) | −8883.24 | + | 61784.3i | −0.0417993 | + | 0.290721i | 0.958190 | + | 0.286132i | \(0.0923697\pi\) |
−0.999989 | + | 0.00458857i | \(0.998539\pi\) | |||||||
\(462\) | 61816.9 | − | 31868.8i | 0.289616 | − | 0.149308i | ||||
\(463\) | 96017.9 | + | 33232.1i | 0.447910 | + | 0.155023i | 0.541705 | − | 0.840568i | \(-0.317779\pi\) |
−0.0937958 | + | 0.995591i | \(0.529900\pi\) | |||||||
\(464\) | −171363. | + | 197764.i | −0.795943 | + | 0.918567i | ||||
\(465\) | 8029.95 | − | 84093.5i | 0.0371370 | − | 0.388917i | ||||
\(466\) | 166711. | + | 48950.6i | 0.767700 | + | 0.225417i | ||||
\(467\) | −13669.4 | + | 286956.i | −0.0626780 | + | 1.31577i | 0.720274 | + | 0.693690i | \(0.244016\pi\) |
−0.782952 | + | 0.622083i | \(0.786287\pi\) | |||||||
\(468\) | − | 882879.i | − | 4.03097i | ||||||
\(469\) | −50819.5 | − | 3891.04i | −0.231039 | − | 0.0176897i | ||||
\(470\) | 236034. | 1.06851 | ||||||||
\(471\) | 362688. | + | 17276.9i | 1.63490 | + | 0.0778798i | ||||
\(472\) | −261.487 | + | 890.545i | −0.00117373 | + | 0.00399735i | ||||
\(473\) | 119929. | + | 11451.8i | 0.536046 | + | 0.0511862i | ||||
\(474\) | 526824. | + | 456496.i | 2.34482 | + | 2.03180i | ||||
\(475\) | 59992.2 | − | 173336.i | 0.265893 | − | 0.768249i | ||||
\(476\) | −15247.9 | − | 29576.8i | −0.0672971 | − | 0.130538i | ||||
\(477\) | 303047. | + | 43571.5i | 1.33190 | + | 0.191499i | ||||
\(478\) | 379861. | + | 244122.i | 1.66253 | + | 1.06844i | ||||
\(479\) | −27653.2 | − | 26367.3i | −0.120524 | − | 0.114920i | 0.627420 | − | 0.778681i | \(-0.284111\pi\) |
−0.747945 | + | 0.663761i | \(0.768959\pi\) | |||||||
\(480\) | 314798. | − | 108953.i | 1.36631 | − | 0.472885i | ||||
\(481\) | 106312. | − | 265554.i | 0.459506 | − | 1.14779i | ||||
\(482\) | −220975. | − | 280993.i | −0.951151 | − | 1.20949i | ||||
\(483\) | 31085.0 | + | 68066.6i | 0.133247 | + | 0.291769i | ||||
\(484\) | −139522. | + | 89665.1i | −0.595595 | + | 0.382765i | ||||
\(485\) | 105268. | + | 20288.7i | 0.447520 | + | 0.0862524i | ||||
\(486\) | −698354. | + | 66684.7i | −2.95667 | + | 0.282328i | ||||
\(487\) | −240517. | − | 171271.i | −1.01411 | − | 0.722148i | −0.0530844 | − | 0.998590i | \(-0.516905\pi\) |
−0.961031 | + | 0.276442i | \(0.910845\pi\) | |||||||
\(488\) | 2940.62 | + | 1516.00i | 0.0123481 | + | 0.00636588i | ||||
\(489\) | −24658.7 | − | 25861.3i | −0.103122 | − | 0.108151i | ||||
\(490\) | 173427. | − | 33425.3i | 0.722312 | − | 0.139214i | ||||
\(491\) | −373262. | + | 109600.i | −1.54828 | + | 0.454617i | −0.940587 | − | 0.339552i | \(-0.889725\pi\) |
−0.607697 | + | 0.794169i | \(0.707906\pi\) | |||||||
\(492\) | −135310. | − | 557754.i | −0.558983 | − | 2.30416i | ||||
\(493\) | 77788.9 | − | 170334.i | 0.320054 | − | 0.700822i | ||||
\(494\) | 94426.0 | + | 656747.i | 0.386935 | + | 2.69119i | ||||
\(495\) | −103105. | − | 144790.i | −0.420793 | − | 0.590921i | ||||
\(496\) | 71430.5 | − | 61894.8i | 0.290349 | − | 0.251589i | ||||
\(497\) | −8344.06 | − | 20842.4i | −0.0337804 | − | 0.0843793i | ||||
\(498\) | 450191. | − | 779753.i | 1.81526 | − | 3.14411i | ||||
\(499\) | 215819. | − | 124603.i | 0.866739 | − | 0.500412i | 0.000475607 | − | 1.00000i | \(-0.499849\pi\) |
0.866263 | + | 0.499588i | \(0.166515\pi\) | |||||||
\(500\) | 143342. | − | 182274.i | 0.573366 | − | 0.729094i | ||||
\(501\) | 246608. | + | 59826.4i | 0.982497 | + | 0.238351i | ||||
\(502\) | 5638.50 | + | 118367.i | 0.0223747 | + | 0.469702i | ||||
\(503\) | 70938.4 | − | 3379.21i | 0.280379 | − | 0.0133561i | 0.0930785 | − | 0.995659i | \(-0.470329\pi\) |
0.187300 | + | 0.982303i | \(0.440026\pi\) | |||||||
\(504\) | 351.581 | − | 1449.24i | 0.00138409 | − | 0.00570530i | ||||
\(505\) | 50039.2 | + | 39351.2i | 0.196213 | + | 0.154303i | ||||
\(506\) | 72024.8 | + | 124751.i | 0.281307 | + | 0.487239i | ||||
\(507\) | −714264. | − | 412380.i | −2.77871 | − | 1.60429i | ||||
\(508\) | −343128. | + | 137368.i | −1.32962 | + | 0.532301i | ||||
\(509\) | −170077. | − | 196280.i | −0.656465 | − | 0.757600i | 0.325731 | − | 0.945463i | \(-0.394390\pi\) |
−0.982195 | + | 0.187862i | \(0.939844\pi\) | |||||||
\(510\) | −195594. | + | 139282.i | −0.751996 | + | 0.535494i | ||||
\(511\) | 74607.1 | − | 10726.9i | 0.285718 | − | 0.0410801i | ||||
\(512\) | 336556. | + | 153700.i | 1.28386 | + | 0.586319i | ||||
\(513\) | 810285. | − | 196573.i | 3.07895 | − | 0.746946i | ||||
\(514\) | −83556.9 | − | 284569.i | −0.316269 | − | 1.07711i | ||||
\(515\) | 3831.68 | + | 19880.6i | 0.0144469 | + | 0.0749577i | ||||
\(516\) | −357768. | + | 341131.i | −1.34370 | + | 1.28121i | ||||
\(517\) | 90162.4 | − | 174891.i | 0.337322 | − | 0.654313i | ||||
\(518\) | −38130.0 | + | 53546.0i | −0.142104 | + | 0.199557i | ||||
\(519\) | 82215.7 | + | 861002.i | 0.305225 | + | 3.19646i | ||||
\(520\) | 479.128 | − | 2485.95i | 0.00177192 | − | 0.00919362i | ||||
\(521\) | −100059. | − | 155695.i | −0.368622 | − | 0.573587i | 0.606548 | − | 0.795047i | \(-0.292554\pi\) |
−0.975169 | + | 0.221461i | \(0.928918\pi\) | |||||||
\(522\) | −1.03857e6 | + | 474299.i | −3.81149 | + | 1.74065i | ||||
\(523\) | −375831. | + | 295557.i | −1.37401 | + | 1.08053i | −0.386614 | + | 0.922242i | \(0.626355\pi\) |
−0.987393 | + | 0.158289i | \(0.949402\pi\) | |||||||
\(524\) | 340086. | + | 136150.i | 1.23858 | + | 0.495854i | ||||
\(525\) | −27072.2 | − | 78220.1i | −0.0982212 | − | 0.283792i | ||||
\(526\) | −353057. | + | 370276.i | −1.27607 | + | 1.33830i | ||||
\(527\) | −36566.3 | + | 56898.2i | −0.131662 | + | 0.204870i | ||||
\(528\) | 39808.8 | − | 276876.i | 0.142794 | − | 0.993157i | ||||
\(529\) | 110975. | − | 57211.5i | 0.396564 | − | 0.204443i | ||||
\(530\) | −112877. | − | 39067.0i | −0.401839 | − | 0.139078i | ||||
\(531\) | −183714. | + | 212017.i | −0.651558 | + | 0.751938i | ||||
\(532\) | 7220.39 | − | 75615.4i | 0.0255116 | − | 0.267169i | ||||
\(533\) | −577777. | − | 169651.i | −2.03379 | − | 0.597174i | ||||
\(534\) | 65651.7 | − | 1.37820e6i | 0.230231 | − | 4.83314i | ||||
\(535\) | 239797.i | 0.837792i | ||||||||
\(536\) | −1895.47 | + | 2272.36i | −0.00659763 | + | 0.00790947i | ||||
\(537\) | 324701. | 1.12599 | ||||||||
\(538\) | 7942.69 | + | 378.357i | 0.0274412 | + | 0.00130719i | ||||
\(539\) | 41480.6 | − | 141270.i | 0.142780 | − | 0.486265i | ||||
\(540\) | 430887. | + | 41144.8i | 1.47767 | + | 0.141100i | ||||
\(541\) | −131108. | − | 113605.i | −0.447954 | − | 0.388154i | 0.401464 | − | 0.915875i | \(-0.368501\pi\) |
−0.849418 | + | 0.527720i | \(0.823047\pi\) | |||||||
\(542\) | 12231.9 | − | 35341.7i | 0.0416385 | − | 0.120306i | ||||
\(543\) | −329447. | − | 639038.i | −1.11734 | − | 2.16734i | ||||
\(544\) | −263995. | − | 37956.8i | −0.892068 | − | 0.128260i | ||||
\(545\) | −53260.9 | − | 34228.7i | −0.179315 | − | 0.115238i | ||||
\(546\) | 216695. | + | 206618.i | 0.726882 | + | 0.693081i | ||||
\(547\) | −343300. | + | 118817.i | −1.14736 | + | 0.397104i | −0.833583 | − | 0.552394i | \(-0.813715\pi\) |
−0.313774 | + | 0.949498i | \(0.601593\pi\) | |||||||
\(548\) | 198461. | − | 495731.i | 0.660866 | − | 1.65076i | ||||
\(549\) | 618155. | + | 786048.i | 2.05094 | + | 2.60798i | ||||
\(550\) | −66193.0 | − | 144943.i | −0.218820 | − | 0.479149i | ||||
\(551\) | 359595. | − | 231098.i | 1.18443 | − | 0.761188i | ||||
\(552\) | 4265.92 | + | 822.188i | 0.0140002 | + | 0.00269832i | ||||
\(553\) | −83351.6 | + | 7959.12i | −0.272561 | + | 0.0260264i | ||||
\(554\) | −409732. | − | 291769.i | −1.33500 | − | 0.950647i | ||||
\(555\) | 210033. | + | 108280.i | 0.681871 | + | 0.351529i | ||||
\(556\) | −50074.4 | − | 52516.5i | −0.161982 | − | 0.169882i | ||||
\(557\) | 281220. | − | 54200.7i | 0.906433 | − | 0.174701i | 0.285330 | − | 0.958429i | \(-0.407897\pi\) |
0.621103 | + | 0.783729i | \(0.286685\pi\) | |||||||
\(558\) | 395683. | − | 116183.i | 1.27081 | − | 0.373142i | ||||
\(559\) | 122278. | + | 504037.i | 0.391313 | + | 1.61302i | ||||
\(560\) | −16743.2 | + | 36662.4i | −0.0533902 | + | 0.116908i | ||||
\(561\) | 28486.9 | + | 198131.i | 0.0905149 | + | 0.629545i | ||||
\(562\) | 8857.17 | + | 12438.2i | 0.0280429 | + | 0.0393807i | ||||
\(563\) | 104042. | − | 90152.8i | 0.328240 | − | 0.284421i | −0.475113 | − | 0.879925i | \(-0.657593\pi\) |
0.803353 | + | 0.595503i | \(0.203047\pi\) | |||||||
\(564\) | 300069. | + | 749536.i | 0.943328 | + | 2.35632i | ||||
\(565\) | 46563.7 | − | 80650.6i | 0.145865 | − | 0.252645i | ||||
\(566\) | 281353. | − | 162439.i | 0.878252 | − | 0.507059i | ||||
\(567\) | 119313. | − | 151719.i | 0.371127 | − | 0.471927i | ||||
\(568\) | −1266.70 | − | 307.299i | −0.00392625 | − | 0.000952498i | ||||
\(569\) | 1447.12 | + | 30378.8i | 0.00446972 | + | 0.0938311i | 1.00000 | 0.000613866i | \(-0.000195400\pi\) | |
−0.995530 | + | 0.0944449i | \(0.969892\pi\) | |||||||
\(570\) | −547499. | + | 26080.6i | −1.68513 | + | 0.0802726i | ||||
\(571\) | 109520. | − | 451449.i | 0.335909 | − | 1.38464i | −0.514037 | − | 0.857768i | \(-0.671851\pi\) |
0.849946 | − | 0.526869i | \(-0.176634\pi\) | |||||||
\(572\) | 225706. | + | 177497.i | 0.689844 | + | 0.542500i | ||||
\(573\) | 372895. | + | 645873.i | 1.13574 | + | 1.96715i | ||||
\(574\) | 119843. | + | 69191.2i | 0.363737 | + | 0.210004i | ||||
\(575\) | 159160. | − | 63717.9i | 0.481390 | − | 0.192719i | ||||
\(576\) | 526617. | + | 607748.i | 1.58727 | + | 1.83180i | ||||
\(577\) | −278392. | + | 198242.i | −0.836191 | + | 0.595449i | −0.915917 | − | 0.401368i | \(-0.868535\pi\) |
0.0797259 | + | 0.996817i | \(0.474595\pi\) | |||||||
\(578\) | −276512. | + | 39756.4i | −0.827671 | + | 0.119001i | ||||
\(579\) | −364928. | − | 166657.i | −1.08855 | − | 0.497126i | ||||
\(580\) | 215649. | − | 52315.9i | 0.641049 | − | 0.155517i | ||||
\(581\) | 30469.2 | + | 103768.i | 0.0902627 | + | 0.307407i | ||||
\(582\) | 139308. | + | 722799.i | 0.411273 | + | 2.13389i | ||||
\(583\) | −72064.6 | + | 68713.4i | −0.212024 | + | 0.202164i | ||||
\(584\) | 2005.25 | − | 3889.63i | 0.00587952 | − | 0.0114047i | ||||
\(585\) | 443878. | − | 623339.i | 1.29703 | − | 1.82143i | ||||
\(586\) | −15128.3 | − | 158431.i | −0.0440549 | − | 0.461364i | ||||
\(587\) | 51360.7 | − | 266484.i | 0.149058 | − | 0.773385i | −0.828052 | − | 0.560651i | \(-0.810551\pi\) |
0.977110 | − | 0.212734i | \(-0.0682369\pi\) | |||||||
\(588\) | 326621. | + | 508232.i | 0.944691 | + | 1.46997i | ||||
\(589\) | −140439. | + | 64136.5i | −0.404816 | + | 0.184873i | ||||
\(590\) | 86032.8 | − | 67657.0i | 0.247150 | − | 0.194361i | ||||
\(591\) | −706683. | − | 282913.i | −2.02325 | − | 0.809987i | ||||
\(592\) | 86472.3 | + | 249845.i | 0.246737 | + | 0.712898i | ||||
\(593\) | 310759. | − | 325915.i | 0.883720 | − | 0.926819i | −0.114056 | − | 0.993474i | \(-0.536384\pi\) |
0.997776 | + | 0.0666553i | \(0.0212328\pi\) | |||||||
\(594\) | 391596. | − | 609335.i | 1.10985 | − | 1.72696i | ||||
\(595\) | 4104.61 | − | 28548.2i | 0.0115941 | − | 0.0806389i | ||||
\(596\) | −31348.9 | + | 16161.5i | −0.0882530 | + | 0.0454976i | ||||
\(597\) | −749960. | − | 259564.i | −2.10421 | − | 0.728275i | ||||
\(598\) | −406112. | + | 468678.i | −1.13565 | + | 1.31061i | ||||
\(599\) | −14938.1 | + | 156438.i | −0.0416333 | + | 0.436003i | 0.950492 | + | 0.310750i | \(0.100580\pi\) |
−0.992125 | + | 0.125253i | \(0.960026\pi\) | |||||||
\(600\) | −4610.97 | − | 1353.90i | −0.0128082 | − | 0.00376084i | ||||
\(601\) | 11004.0 | − | 231002.i | 0.0304650 | − | 0.639538i | −0.931068 | − | 0.364847i | \(-0.881121\pi\) |
0.961533 | − | 0.274691i | \(-0.0885756\pi\) | |||||||
\(602\) | − | 119191.i | − | 0.328889i | ||||||
\(603\) | −806474. | + | 386772.i | −2.21797 | + | 1.06370i | ||||
\(604\) | −447422. | −1.22643 | ||||||||
\(605\) | −143587. | − | 6839.87i | −0.392286 | − | 0.0186869i | ||||
\(606\) | −123145. | + | 419393.i | −0.335329 | + | 1.14203i | ||||
\(607\) | −68616.6 | − | 6552.09i | −0.186231 | − | 0.0177829i | 0.00152378 | − | 0.999999i | \(-0.499515\pi\) |
−0.187755 | + | 0.982216i | \(0.560121\pi\) | |||||||
\(608\) | −460117. | − | 398693.i | −1.24469 | − | 1.07853i | ||||
\(609\) | 63089.0 | − | 182284.i | 0.170106 | − | 0.491488i | ||||
\(610\) | −178771. | − | 346767.i | −0.480437 | − | 0.931918i | ||||
\(611\) | 838468. | + | 120554.i | 2.24597 | + | 0.322922i | ||||
\(612\) | −491248. | − | 315706.i | −1.31159 | − | 0.842907i | ||||
\(613\) | −3934.38 | − | 3751.42i | −0.0104702 | − | 0.00998332i | 0.684826 | − | 0.728707i | \(-0.259878\pi\) |
−0.695296 | + | 0.718723i | \(0.744727\pi\) | |||||||
\(614\) | −581121. | + | 201128.i | −1.54145 | + | 0.533502i | ||||
\(615\) | 184885. | − | 461820.i | 0.488822 | − | 1.22102i | ||||
\(616\) | 299.811 | + | 381.241i | 0.000790107 | + | 0.00100470i | ||||
\(617\) | 163372. | + | 357734.i | 0.429148 | + | 0.939703i | 0.993464 | + | 0.114144i | \(0.0364125\pi\) |
−0.564316 | + | 0.825559i | \(0.690860\pi\) | |||||||
\(618\) | −116950. | + | 75159.0i | −0.306212 | + | 0.196790i | ||||
\(619\) | 397493. | + | 76610.6i | 1.03741 | + | 0.199944i | 0.679394 | − | 0.733774i | \(-0.262243\pi\) |
0.358012 | + | 0.933717i | \(0.383455\pi\) | |||||||
\(620\) | −79786.8 | + | 7618.71i | −0.207562 | + | 0.0198197i | ||||
\(621\) | 634809. | + | 452045.i | 1.64611 | + | 1.17219i | ||||
\(622\) | −257641. | − | 132823.i | −0.665939 | − | 0.343315i | ||||
\(623\) | 114367. | + | 119944.i | 0.294662 | + | 0.309033i | ||||
\(624\) | 1.18248e6 | − | 227904.i | 3.03686 | − | 0.585306i | ||||
\(625\) | −68304.6 | + | 20056.0i | −0.174860 | + | 0.0513435i | ||||
\(626\) | −2381.59 | − | 9817.04i | −0.00607740 | − | 0.0250514i | ||||
\(627\) | −189814. | + | 415635.i | −0.482829 | + | 1.05725i | ||||
\(628\) | −49027.9 | − | 340997.i | −0.124315 | − | 0.864631i | ||||
\(629\) | −109743. | − | 154112.i | −0.277380 | − | 0.389525i | ||||
\(630\) | −132903. | + | 115161.i | −0.334852 | + | 0.290151i | ||||
\(631\) | 1623.41 | + | 4055.08i | 0.00407727 | + | 0.0101845i | 0.930393 | − | 0.366565i | \(-0.119466\pi\) |
−0.926315 | + | 0.376749i | \(0.877042\pi\) | |||||||
\(632\) | −2430.63 | + | 4209.98i | −0.00608534 | + | 0.0105401i | ||||
\(633\) | −347967. | + | 200899.i | −0.868422 | + | 0.501384i | ||||
\(634\) | −335603. | + | 426754.i | −0.834924 | + | 1.06169i | ||||
\(635\) | −311322. | − | 75525.8i | −0.772079 | − | 0.187304i | ||||
\(636\) | −19440.7 | − | 408110.i | −0.0480615 | − | 1.00894i | ||||
\(637\) | 633142. | − | 30160.3i | 1.56035 | − | 0.0743286i | ||||
\(638\) | 87544.3 | − | 360863.i | 0.215073 | − | 0.886544i | ||||
\(639\) | −309688. | − | 243541.i | −0.758442 | − | 0.596446i | ||||
\(640\) | 2323.13 | + | 4023.78i | 0.00567170 | + | 0.00982368i | ||||
\(641\) | 461218. | + | 266284.i | 1.12251 | + | 0.648081i | 0.942040 | − | 0.335500i | \(-0.108905\pi\) |
0.180469 | + | 0.983581i | \(0.442239\pi\) | |||||||
\(642\) | −1.52857e6 | + | 611947.i | −3.70864 | + | 1.48472i | ||||
\(643\) | −54291.4 | − | 62655.7i | −0.131314 | − | 0.151544i | 0.686285 | − | 0.727333i | \(-0.259240\pi\) |
−0.817598 | + | 0.575789i | \(0.804695\pi\) | |||||||
\(644\) | 57832.0 | − | 41182.0i | 0.139443 | − | 0.0992969i | ||||
\(645\) | −424102. | + | 60976.7i | −1.01942 | + | 0.146570i | ||||
\(646\) | 399190. | + | 182304.i | 0.956565 | + | 0.436849i | ||||
\(647\) | −132230. | + | 32078.6i | −0.315879 | + | 0.0766315i | −0.390564 | − | 0.920576i | \(-0.627720\pi\) |
0.0746849 | + | 0.997207i | \(0.476205\pi\) | |||||||
\(648\) | −3157.11 | − | 10752.1i | −0.00751865 | − | 0.0256062i | ||||
\(649\) | −17267.2 | − | 89590.8i | −0.0409952 | − | 0.212703i | ||||
\(650\) | 496471. | − | 473384.i | 1.17508 | − | 1.12044i | ||||
\(651\) | −31925.1 | + | 61926.1i | −0.0753304 | + | 0.146121i | ||||
\(652\) | −19665.7 | + | 27616.6i | −0.0462610 | + | 0.0649644i | ||||
\(653\) | 44221.8 | + | 463112.i | 0.103708 | + | 1.08607i | 0.886165 | + | 0.463370i | \(0.153360\pi\) |
−0.782457 | + | 0.622704i | \(0.786034\pi\) | |||||||
\(654\) | 82270.1 | − | 426858.i | 0.192347 | − | 0.997993i | ||||
\(655\) | 171660. | + | 267108.i | 0.400116 | + | 0.622592i | ||||
\(656\) | 506279. | − | 231210.i | 1.17647 | − | 0.537278i | ||||
\(657\) | 1.03973e6 | − | 817649.i | 2.40873 | − | 1.89425i | ||||
\(658\) | −180723. | − | 72350.4i | −0.417408 | − | 0.167105i | ||||
\(659\) | 108616. | + | 313824.i | 0.250104 | + | 0.722629i | 0.998252 | + | 0.0590969i | \(0.0188221\pi\) |
−0.748148 | + | 0.663532i | \(0.769057\pi\) | |||||||
\(660\) | −163691. | + | 171674.i | −0.375782 | + | 0.394109i | ||||
\(661\) | −204861. | + | 318770.i | −0.468874 | + | 0.729582i | −0.992484 | − | 0.122376i | \(-0.960949\pi\) |
0.523610 | + | 0.851958i | \(0.324585\pi\) | |||||||
\(662\) | 76633.0 | − | 532994.i | 0.174864 | − | 1.21620i | ||||
\(663\) | −765952. | + | 394876.i | −1.74251 | + | 0.898325i | ||||
\(664\) | 5933.62 | + | 2053.65i | 0.0134581 | + | 0.00465790i | ||||
\(665\) | 43114.3 | − | 49756.6i | 0.0974941 | − | 0.112514i | ||||
\(666\) | −109653. | + | 1.14833e6i | −0.247213 | + | 2.58893i | ||||
\(667\) | 383340. | + | 112559.i | 0.861653 | + | 0.253004i | ||||
\(668\) | 11456.1 | − | 240492.i | 0.0256733 | − | 0.538949i | ||||
\(669\) | 225702.i | 0.504293i | ||||||||
\(670\) | 337508. | − | 88622.5i | 0.751855 | − | 0.197421i | ||||
\(671\) | −325228. | −0.722341 | ||||||||
\(672\) | −274427. | − | 13072.6i | −0.607699 | − | 0.0289483i | ||||
\(673\) | 7652.47 | − | 26061.9i | 0.0168955 | − | 0.0575409i | −0.950614 | − | 0.310376i | \(-0.899545\pi\) |
0.967509 | + | 0.252835i | \(0.0813631\pi\) | |||||||
\(674\) | 174022. | + | 16617.1i | 0.383075 | + | 0.0365792i | ||||
\(675\) | −651489. | − | 564519.i | −1.42988 | − | 1.23900i | ||||
\(676\) | −255938. | + | 739484.i | −0.560069 | + | 1.61821i | ||||
\(677\) | 88056.3 | + | 170805.i | 0.192125 | + | 0.372670i | 0.965147 | − | 0.261709i | \(-0.0842861\pi\) |
−0.773022 | + | 0.634379i | \(0.781256\pi\) | |||||||
\(678\) | 632930. | + | 91001.5i | 1.37688 | + | 0.197965i | ||||
\(679\) | −74380.9 | − | 47801.7i | −0.161333 | − | 0.103682i | ||||
\(680\) | −1211.89 | − | 1155.54i | −0.00262088 | − | 0.00249900i | ||||
\(681\) | 70498.5 | − | 24399.8i | 0.152015 | − | 0.0526128i | ||||
\(682\) | −49847.7 | + | 124513.i | −0.107171 | + | 0.267699i | ||||
\(683\) | 334700. | + | 425605.i | 0.717487 | + | 0.912359i | 0.998884 | − | 0.0472324i | \(-0.0150401\pi\) |
−0.281397 | + | 0.959591i | \(0.590798\pi\) | |||||||
\(684\) | −553741. | − | 1.21252e6i | −1.18357 | − | 2.59166i | ||||
\(685\) | 389354. | − | 250222.i | 0.829780 | − | 0.533267i | ||||
\(686\) | −294181. | − | 56698.8i | −0.625125 | − | 0.120483i | ||||
\(687\) | −1.02332e6 | + | 97714.7i | −2.16818 | + | 0.207036i | ||||
\(688\) | −390497. | − | 278072.i | −0.824975 | − | 0.587462i | ||||
\(689\) | −381021. | − | 196430.i | −0.802621 | − | 0.413780i | ||||
\(690\) | −353533. | − | 370774.i | −0.742560 | − | 0.778774i | ||||
\(691\) | 486975. | − | 93856.8i | 1.01988 | − | 0.196566i | 0.348212 | − | 0.937416i | \(-0.386789\pi\) |
0.671671 | + | 0.740849i | \(0.265577\pi\) | |||||||
\(692\) | 787382. | − | 231196.i | 1.64427 | − | 0.482801i | ||||
\(693\) | 34561.7 | + | 142465.i | 0.0719662 | + | 0.296649i | ||||
\(694\) | 117884. | − | 258130.i | 0.244758 | − | 0.535945i | ||||
\(695\) | −8950.73 | − | 62253.7i | −0.0185306 | − | 0.128883i | ||||
\(696\) | −6496.07 | − | 9122.45i | −0.0134101 | − | 0.0188318i | ||||
\(697\) | −301002. | + | 260819.i | −0.619588 | + | 0.536876i | ||||
\(698\) | 325118. | + | 812105.i | 0.667314 | + | 1.66687i | ||||
\(699\) | −257562. | + | 446110.i | −0.527141 | + | 0.913035i | ||||
\(700\) | −68011.9 | + | 39266.7i | −0.138800 | + | 0.0801361i | ||||
\(701\) | 113639. | − | 144504.i | 0.231256 | − | 0.294065i | −0.656552 | − | 0.754281i | \(-0.727986\pi\) |
0.887807 | + | 0.460216i | \(0.152228\pi\) | |||||||
\(702\) | 3.03037e6 | + | 735160.i | 6.14924 | + | 1.49179i | ||||
\(703\) | −20549.4 | − | 431384.i | −0.0415803 | − | 0.872878i | ||||
\(704\) | −261242. | + | 12444.5i | −0.527107 | + | 0.0251092i | ||||
\(705\) | −164980. | + | 680058.i | −0.331935 | + | 1.36826i | ||||
\(706\) | −495597. | − | 389741.i | −0.994303 | − | 0.781929i | ||||
\(707\) | −26251.1 | − | 45468.2i | −0.0525180 | − | 0.0909638i | ||||
\(708\) | 324221. | + | 187189.i | 0.646807 | + | 0.373434i | ||||
\(709\) | 771874. | − | 309012.i | 1.53551 | − | 0.614727i | 0.558806 | − | 0.829298i | \(-0.311260\pi\) |
0.976708 | + | 0.214571i | \(0.0688354\pi\) | |||||||
\(710\) | 100656. | + | 116163.i | 0.199675 | + | 0.230437i | ||||
\(711\) | −1.19691e6 | + | 852314.i | −2.36767 | + | 1.68601i | ||||
\(712\) | 9524.07 | − | 1369.35i | 0.0187872 | − | 0.00270119i | ||||
\(713\) | −131264. | − | 59946.1i | −0.258205 | − | 0.117918i | ||||
\(714\) | 192453. | − | 46688.6i | 0.377510 | − | 0.0915830i | ||||
\(715\) | 70116.4 | + | 238795.i | 0.137154 | + | 0.467103i | ||||
\(716\) | −58302.9 | − | 302504.i | −0.113727 | − | 0.590073i | ||||
\(717\) | −968872. | + | 923817.i | −1.88464 | + | 1.79700i | ||||
\(718\) | 413942. | − | 802936.i | 0.802955 | − | 1.55751i | ||||
\(719\) | −159485. | + | 223965.i | −0.308505 | + | 0.433234i | −0.939498 | − | 0.342554i | \(-0.888708\pi\) |
0.630993 | + | 0.775788i | \(0.282647\pi\) | |||||||
\(720\) | 67232.4 | + | 704090.i | 0.129692 | + | 1.35820i | ||||
\(721\) | 3160.15 | − | 16396.4i | 0.00607907 | − | 0.0315412i | ||||
\(722\) | 143757. | + | 223691.i | 0.275776 | + | 0.429115i | ||||
\(723\) | 964048. | − | 440266.i | 1.84426 | − | 0.842245i | ||||
\(724\) | −536199. | + | 421671.i | −1.02294 | + | 0.804446i | ||||
\(725\) | −410280. | − | 164251.i | −0.780556 | − | 0.312487i | ||||
\(726\) | −322824. | − | 932738.i | −0.612481 | − | 1.76965i | ||||
\(727\) | 4002.35 | − | 4197.55i | 0.00757263 | − | 0.00794194i | −0.719937 | − | 0.694040i | \(-0.755829\pi\) |
0.727509 | + | 0.686098i | \(0.240678\pi\) | |||||||
\(728\) | −1128.86 | + | 1756.54i | −0.00212999 | + | 0.00331433i | ||||
\(729\) | 100033. | − | 695747.i | 0.188230 | − | 1.30917i | ||||
\(730\) | −458677. | + | 236464.i | −0.860719 | + | 0.443731i | ||||
\(731\) | 324179. | + | 112199.i | 0.606666 | + | 0.209969i | ||||
\(732\) | 873903. | − | 1.00854e6i | 1.63095 | − | 1.88222i | ||||
\(733\) | −1284.10 | + | 13447.7i | −0.00238996 | + | 0.0250288i | −0.996588 | − | 0.0825341i | \(-0.973699\pi\) |
0.994198 | + | 0.107563i | \(0.0343047\pi\) | |||||||
\(734\) | −212955. | − | 62529.1i | −0.395271 | − | 0.116062i | ||||
\(735\) | −24915.5 | + | 523040.i | −0.0461205 | + | 0.968189i | ||||
\(736\) | − | 569044.i | − | 1.05049i | ||||||
\(737\) | 63259.1 | − | 283931.i | 0.116463 | − | 0.522731i | ||||
\(738\) | 2.42843e6 | 4.45874 | ||||||||
\(739\) | −600717. | − | 28615.7i | −1.09997 | − | 0.0523980i | −0.510265 | − | 0.860017i | \(-0.670453\pi\) |
−0.589705 | + | 0.807619i | \(0.700756\pi\) | |||||||
\(740\) | 63164.4 | − | 215118.i | 0.115348 | − | 0.392838i | ||||
\(741\) | −1.95821e6 | − | 186987.i | −3.56635 | − | 0.340545i | ||||
\(742\) | 74450.6 | + | 64511.8i | 0.135226 | + | 0.117174i | ||||
\(743\) | −140418. | + | 405711.i | −0.254358 | + | 0.734919i | 0.743453 | + | 0.668788i | \(0.233187\pi\) |
−0.997811 | + | 0.0661307i | \(0.978935\pi\) | |||||||
\(744\) | 1853.52 | + | 3595.32i | 0.00334850 | + | 0.00649519i | ||||
\(745\) | −30258.6 | − | 4350.53i | −0.0545176 | − | 0.00783845i | ||||
\(746\) | −979665. | − | 629592.i | −1.76035 | − | 1.13131i | ||||
\(747\) | 1.37356e6 | + | 1.30968e6i | 2.46153 | + | 2.34706i | ||||
\(748\) | 179472. | − | 62115.8i | 0.320769 | − | 0.111019i | ||||
\(749\) | 73504.0 | − | 183604.i | 0.131023 | − | 0.327280i | ||||
\(750\) | 853070. | + | 1.08477e6i | 1.51657 | + | 1.92848i | ||||
\(751\) | −58353.1 | − | 127775.i | −0.103463 | − | 0.226552i | 0.850820 | − | 0.525457i | \(-0.176106\pi\) |
−0.954283 | + | 0.298906i | \(0.903378\pi\) | |||||||
\(752\) | −658662. | + | 423296.i | −1.16473 | + | 0.748530i | ||||
\(753\) | −344978. | − | 66489.1i | −0.608418 | − | 0.117263i | ||||
\(754\) | 1.59138e6 | − | 151958.i | 2.79918 | − | 0.267289i | ||||
\(755\) | −315893. | − | 224946.i | −0.554174 | − | 0.394625i | ||||
\(756\) | −317303. | − | 163581.i | −0.555177 | − | 0.286213i | ||||
\(757\) | −82603.2 | − | 86631.7i | −0.144147 | − | 0.151177i | 0.647703 | − | 0.761893i | \(-0.275730\pi\) |
−0.791849 | + | 0.610717i | \(0.790881\pi\) | |||||||
\(758\) | −1.06848e6 | + | 205933.i | −1.85964 | + | 0.358416i | ||||
\(759\) | −409774. | + | 120320.i | −0.711312 | + | 0.208860i | ||||
\(760\) | −901.166 | − | 3714.66i | −0.00156019 | − | 0.00643119i | ||||
\(761\) | 335327. | − | 734263.i | 0.579027 | − | 1.26789i | −0.362823 | − | 0.931858i | \(-0.618187\pi\) |
0.941850 | − | 0.336034i | \(-0.109086\pi\) | |||||||
\(762\) | −313039. | − | 2.17724e6i | −0.539124 | − | 3.74969i | ||||
\(763\) | 30288.0 | + | 42533.6i | 0.0520262 | + | 0.0730605i | ||||
\(764\) | 534765. | − | 463376.i | 0.916170 | − | 0.793866i | ||||
\(765\) | −188111. | − | 469878.i | −0.321434 | − | 0.802902i | ||||
\(766\) | 98564.0 | − | 170718.i | 0.167981 | − | 0.290952i | ||||
\(767\) | 340172. | − | 196398.i | 0.578240 | − | 0.333847i | ||||
\(768\) | −687978. | + | 874835.i | −1.16641 | + | 1.48321i | ||||
\(769\) | −267990. | − | 65013.7i | −0.453175 | − | 0.109939i | 0.00267332 | − | 0.999996i | \(-0.499149\pi\) |
−0.455849 | + | 0.890057i | \(0.650664\pi\) | |||||||
\(770\) | −2721.37 | − | 57128.6i | −0.00458993 | − | 0.0963545i | ||||
\(771\) | 878300. | − | 41838.6i | 1.47752 | − | 0.0703831i | ||||
\(772\) | −89738.3 | + | 369906.i | −0.150572 | + | 0.620665i | ||||
\(773\) | 365795. | + | 287665.i | 0.612180 | + | 0.481424i | 0.875457 | − | 0.483297i | \(-0.160561\pi\) |
−0.263277 | + | 0.964720i | \(0.584803\pi\) | |||||||
\(774\) | −1.04582e6 | − | 1.81141e6i | −1.74572 | − | 3.02368i | ||||
\(775\) | 138238. | + | 79811.7i | 0.230157 | + | 0.132881i | ||||
\(776\) | −4765.62 | + | 1907.86i | −0.00791399 | + | 0.00316828i | ||||
\(777\) | −127625. | − | 147287.i | −0.211394 | − | 0.243961i | ||||
\(778\) | 379477. | − | 270224.i | 0.626941 | − | 0.446442i | ||||
\(779\) | −899909. | + | 129387.i | −1.48294 | + | 0.213215i | ||||
\(780\) | −928914. | − | 424221.i | −1.52682 | − | 0.697273i | ||||
\(781\) | 124522. | − | 30208.6i | 0.204147 | − | 0.0495255i | ||||
\(782\) | 115560. | + | 393560.i | 0.188970 | + | 0.643573i | ||||
\(783\) | −380187. | − | 1.97260e6i | −0.620118 | − | 3.21748i | ||||
\(784\) | −424012. | + | 404295.i | −0.689836 | + | 0.657758i | ||||
\(785\) | 136825. | − | 265403.i | 0.222037 | − | 0.430692i | ||||
\(786\) | −1.26460e6 | + | 1.77588e6i | −2.04695 | + | 2.87453i | ||||
\(787\) | 11875.3 | + | 124363.i | 0.0191731 | + | 0.200790i | 0.999983 | + | 0.00582375i | \(0.00185377\pi\) |
−0.980810 | + | 0.194967i | \(0.937540\pi\) | |||||||
\(788\) | −136682. | + | 709174.i | −0.220120 | + | 1.14209i | ||||
\(789\) | −820058. | − | 1.27604e6i | −1.31732 | − | 2.04979i | ||||
\(790\) | 521451. | − | 238139.i | 0.835525 | − | 0.381571i | ||||
\(791\) | −60373.7 | + | 47478.4i | −0.0964928 | + | 0.0758827i | ||||
\(792\) | 7901.53 | + | 3163.30i | 0.0125968 | + | 0.00504300i | ||||
\(793\) | −457942. | − | 1.32314e6i | −0.728222 | − | 2.10406i | ||||
\(794\) | 590934. | − | 619754.i | 0.937342 | − | 0.983056i | ||||
\(795\) | 191456. | − | 297912.i | 0.302926 | − | 0.471361i | ||||
\(796\) | −107158. | + | 745300.i | −0.169121 | + | 1.17627i | ||||
\(797\) | 496755. | − | 256095.i | 0.782034 | − | 0.403167i | −0.0204872 | − | 0.999790i | \(-0.506522\pi\) |
0.802521 | + | 0.596624i | \(0.203491\pi\) | |||||||
\(798\) | 427195. | + | 147854.i | 0.670842 | + | 0.232181i | ||||
\(799\) | 366903. | − | 423429.i | 0.574722 | − | 0.663264i | ||||
\(800\) | −59833.3 | + | 626603.i | −0.0934896 | + | 0.979067i | ||||
\(801\) | 2.79053e6 | + | 819374.i | 4.34933 | + | 1.27708i | ||||
\(802\) | 39890.8 | − | 837411.i | 0.0620189 | − | 1.30194i | ||||
\(803\) | 430187.i | 0.667154i | ||||||||
\(804\) | 710497. | + | 959106.i | 1.09913 | + | 1.48373i | ||||
\(805\) | 61535.8 | 0.0949591 | ||||||||
\(806\) | −576751. | − | 27474.0i | −0.887807 | − | 0.0422915i | ||||
\(807\) | −6641.81 | + | 22619.9i | −0.0101986 | + | 0.0347332i | ||||
\(808\) | −3034.38 | − | 289.748i | −0.00464780 | − | 0.000443811i | ||||
\(809\) | −253770. | − | 219893.i | −0.387742 | − | 0.335981i | 0.439076 | − | 0.898450i | \(-0.355306\pi\) |
−0.826818 | + | 0.562469i | \(0.809851\pi\) | |||||||
\(810\) | −432205. | + | 1.24877e6i | −0.658748 | + | 1.90333i | ||||
\(811\) | 466383. | + | 904657.i | 0.709090 | + | 1.37544i | 0.917633 | + | 0.397429i | \(0.130098\pi\) |
−0.208543 | + | 0.978013i | \(0.566872\pi\) | |||||||
\(812\) | −181151. | − | 26045.6i | −0.274744 | − | 0.0395023i | ||||
\(813\) | 93276.4 | + | 59945.1i | 0.141121 | + | 0.0906928i | ||||
\(814\) | −271524. | − | 258898.i | −0.409788 | − | 0.390733i | ||||
\(815\) | −27769.2 | + | 9611.00i | −0.0418069 | + | 0.0144695i | ||||
\(816\) | 296029. | − | 739446.i | 0.444585 | − | 1.11052i | ||||
\(817\) | 484065. | + | 615539.i | 0.725203 | + | 0.922171i | ||||
\(818\) | 288649. | + | 632053.i | 0.431383 | + | 0.944598i | ||||
\(819\) | −530931. | + | 341209.i | −0.791536 | + | 0.508689i | ||||
\(820\) | −463448. | − | 89322.2i | −0.689244 | − | 0.132841i | ||||
\(821\) | −234872. | + | 22427.6i | −0.348454 | + | 0.0332733i | −0.267816 | − | 0.963470i | \(-0.586302\pi\) |
−0.0806382 | + | 0.996743i | \(0.525696\pi\) | |||||||
\(822\) | 2.58863e6 | + | 1.84336e6i | 3.83113 | + | 2.72813i | ||||
\(823\) | 512119. | + | 264015.i | 0.756085 | + | 0.389789i | 0.792757 | − | 0.609538i | \(-0.208645\pi\) |
−0.0366713 | + | 0.999327i | \(0.511675\pi\) | |||||||
\(824\) | −669.009 | − | 701.637i | −0.000985321 | − | 0.00103338i | ||||
\(825\) | 463874. | − | 89404.3i | 0.681541 | − | 0.131356i | ||||
\(826\) | −86610.9 | + | 25431.3i | −0.126944 | + | 0.0372742i | ||||
\(827\) | 103125. | + | 425085.i | 0.150783 | + | 0.621534i | 0.996174 | + | 0.0873875i | \(0.0278518\pi\) |
−0.845392 | + | 0.534147i | \(0.820633\pi\) | |||||||
\(828\) | 517562. | − | 1.13330e6i | 0.754922 | − | 1.65305i | ||||
\(829\) | 75726.2 | + | 526687.i | 0.110189 | + | 0.766379i | 0.967735 | + | 0.251972i | \(0.0810790\pi\) |
−0.857546 | + | 0.514407i | \(0.828012\pi\) | |||||||
\(830\) | −429494. | − | 603140.i | −0.623449 | − | 0.875511i | ||||
\(831\) | 1.12703e6 | − | 976578.i | 1.63205 | − | 1.41418i | ||||
\(832\) | −418475. | − | 1.04530e6i | −0.604537 | − | 1.51006i | ||||
\(833\) | 209621. | − | 363075.i | 0.302096 | − | 0.523246i | ||||
\(834\) | 373990. | − | 215923.i | 0.537686 | − | 0.310433i | ||||
\(835\) | 128999. | − | 164035.i | 0.185017 | − | 0.235268i | ||||
\(836\) | 421305. | + | 102208.i | 0.602816 | + | 0.146241i | ||||
\(837\) | 34525.3 | + | 724775.i | 0.0492818 | + | 1.03455i | ||||
\(838\) | −942327. | + | 44888.6i | −1.34188 | + | 0.0639216i | ||||
\(839\) | −194907. | + | 803419.i | −0.276888 | + | 1.14135i | 0.648162 | + | 0.761503i | \(0.275538\pi\) |
−0.925050 | + | 0.379846i | \(0.875977\pi\) | |||||||
\(840\) | −1355.87 | − | 1066.27i | −0.00192158 | − | 0.00151115i | ||||
\(841\) | −161303. | − | 279385.i | −0.228061 | − | 0.395013i | ||||
\(842\) | −181954. | − | 105051.i | −0.256648 | − | 0.148176i | ||||
\(843\) | −42027.6 | + | 16825.3i | −0.0591397 | + | 0.0236760i | ||||
\(844\) | 249646. | + | 288107.i | 0.350461 | + | 0.404454i | ||||
\(845\) | −552484. | + | 393422.i | −0.773760 | + | 0.550992i | ||||
\(846\) | −3.38137e6 | + | 486168.i | −4.72446 | + | 0.679275i | ||||
\(847\) | 107843. | + | 49250.1i | 0.150322 | + | 0.0686499i | ||||
\(848\) | 385049. | − | 93411.8i | 0.535456 | − | 0.129900i | ||||
\(849\) | 271362. | + | 924172.i | 0.376472 | + | 1.28215i | ||||
\(850\) | −85866.9 | − | 445520.i | −0.118847 | − | 0.616637i | ||||
\(851\) | 292140. | − | 278555.i | 0.403396 | − | 0.384638i | ||||
\(852\) | −240918. | + | 467316.i | −0.331887 | + | 0.643771i | ||||
\(853\) | −675677. | + | 948856.i | −0.928627 | + | 1.30407i | 0.0239305 | + | 0.999714i | \(0.492382\pi\) |
−0.952557 | + | 0.304360i | \(0.901557\pi\) | |||||||
\(854\) | 30585.4 | + | 320305.i | 0.0419371 | + | 0.439186i | ||||
\(855\) | 218653. | − | 1.13448e6i | 0.299104 | − | 1.55190i | ||||
\(856\) | −6207.77 | − | 9659.47i | −0.00847204 | − | 0.0131827i | ||||
\(857\) | 992739. | − | 453369.i | 1.35168 | − | 0.617291i | 0.397797 | − | 0.917474i | \(-0.369775\pi\) |
0.953882 | + | 0.300183i | \(0.0970477\pi\) | |||||||
\(858\) | −1.34325e6 | + | 1.05634e6i | −1.82466 | + | 1.43493i | ||||
\(859\) | −43445.9 | − | 17393.1i | −0.0588793 | − | 0.0235717i | 0.342036 | − | 0.939687i | \(-0.388884\pi\) |
−0.400915 | + | 0.916115i | \(0.631308\pi\) | |||||||
\(860\) | 132960. | + | 384162.i | 0.179773 | + | 0.519419i | ||||
\(861\) | −283119. | + | 296927.i | −0.381912 | + | 0.400538i | ||||
\(862\) | 565236. | − | 879525.i | 0.760704 | − | 1.18368i | ||||
\(863\) | −179195. | + | 1.24633e6i | −0.240605 | + | 1.67344i | 0.408510 | + | 0.912754i | \(0.366049\pi\) |
−0.649115 | + | 0.760691i | \(0.724860\pi\) | |||||||
\(864\) | −2.54322e6 | + | 1.31112e6i | −3.40688 | + | 1.75637i | ||||
\(865\) | 672151. | + | 232634.i | 0.898328 | + | 0.310914i | ||||
\(866\) | −423734. | + | 489015.i | −0.565012 | + | 0.652059i | ||||
\(867\) | 78727.4 | − | 824471.i | 0.104734 | − | 1.09682i | ||||
\(868\) | 63425.3 | + | 18623.3i | 0.0841827 | + | 0.0247183i | ||||
\(869\) | 22738.5 | − | 477339.i | 0.0301107 | − | 0.632102i | ||||
\(870\) | 1.32062e6i | 1.74478i | ||||||||
\(871\) | 1.24420e6 | − | 142435.i | 1.64004 | − | 0.187750i | ||||
\(872\) | 3031.55 | 0.00398687 | ||||||||
\(873\) | −1.54984e6 | − | 73827.9i | −2.03356 | − | 0.0968706i | ||||
\(874\) | −263790. | + | 898385.i | −0.345330 | + | 1.17609i | ||||
\(875\) | −165010. | − | 15756.6i | −0.215524 | − | 0.0205800i | ||||
\(876\) | −1.33402e6 | − | 1.15593e6i | −1.73842 | − | 1.50635i | ||||
\(877\) | −118648. | + | 342811.i | −0.154263 | + | 0.445713i | −0.995479 | − | 0.0949864i | \(-0.969719\pi\) |
0.841216 | + | 0.540700i | \(0.181840\pi\) | |||||||
\(878\) | 982705. | + | 1.90618e6i | 1.27478 | + | 2.47272i | ||||
\(879\) | 467043. | + | 67150.6i | 0.604475 | + | 0.0869104i | ||||
\(880\) | −193516. | − | 124365.i | −0.249891 | − | 0.160595i | ||||
\(881\) | −460427. | − | 439016.i | −0.593211 | − | 0.565625i | 0.332859 | − | 0.942976i | \(-0.391987\pi\) |
−0.926070 | + | 0.377351i | \(0.876835\pi\) | |||||||
\(882\) | −2.41564e6 | + | 836060.i | −3.10524 | + | 1.07473i | ||||
\(883\) | −119158. | + | 297643.i | −0.152828 | + | 0.381746i | −0.984948 | − | 0.172849i | \(-0.944703\pi\) |
0.832120 | + | 0.554595i | \(0.187127\pi\) | |||||||
\(884\) | 505416. | + | 642688.i | 0.646762 | + | 0.822424i | ||||
\(885\) | 134798. | + | 295167.i | 0.172107 | + | 0.376861i | ||||
\(886\) | 1.30847e6 | − | 840904.i | 1.66685 | − | 1.07122i | ||||
\(887\) | 120056. | + | 23138.9i | 0.152594 | + | 0.0294101i | 0.264976 | − | 0.964255i | \(-0.414636\pi\) |
−0.112382 | + | 0.993665i | \(0.535848\pi\) | |||||||
\(888\) | −11263.6 | + | 1075.55i | −0.0142841 | + | 0.00136397i | ||||
\(889\) | 215217. | + | 153256.i | 0.272316 | + | 0.193916i | ||||
\(890\) | −1.00852e6 | − | 519929.i | −1.27323 | − | 0.656393i | ||||
\(891\) | 760189. | + | 797263.i | 0.957560 | + | 1.00426i | ||||
\(892\) | 210273. | − | 40526.8i | 0.264273 | − | 0.0509345i | ||||
\(893\) | 1.22714e6 | − | 360322.i | 1.53884 | − | 0.451843i | ||||
\(894\) | −49485.9 | − | 203984.i | −0.0619166 | − | 0.255224i | ||||
\(895\) | 110924. | − | 242890.i | 0.138478 | − | 0.303224i | ||||
\(896\) | −545.346 | − | 3792.97i | −0.000679292 | − | 0.00472458i | ||||
\(897\) | −1.06649e6 | − | 1.49768e6i | −1.32548 | − | 1.86137i | ||||
\(898\) | −256044. | + | 221863.i | −0.317513 | + | 0.275127i | ||||
\(899\) | 138253. | + | 345339.i | 0.171063 | + | 0.427294i | ||||
\(900\) | −689078. | + | 1.19352e6i | −0.850713 | + | 1.47348i | ||||
\(901\) | −245545. | + | 141765.i | −0.302469 | + | 0.174631i | ||||
\(902\) | −488220. | + | 620822.i | −0.600070 | + | 0.763051i | ||||
\(903\) | 343411. | + | 83310.7i | 0.421152 | + | 0.102170i | ||||
\(904\) | 212.179 | + | 4454.18i | 0.000259636 | + | 0.00545043i | ||||
\(905\) | −590572. | + | 28132.4i | −0.721068 | + | 0.0343487i | ||||
\(906\) | 627766. | − | 2.58769e6i | 0.764789 | − | 3.15250i | ||||
\(907\) | −150712. | − | 118521.i | −0.183203 | − | 0.144073i | 0.522346 | − | 0.852734i | \(-0.325057\pi\) |
−0.705549 | + | 0.708661i | \(0.749300\pi\) | |||||||
\(908\) | −35390.4 | − | 61298.0i | −0.0429254 | − | 0.0743490i | ||||
\(909\) | −797905. | − | 460671.i | −0.965658 | − | 0.557523i | ||||
\(910\) | 228586. | − | 91512.2i | 0.276037 | − | 0.110509i | ||||
\(911\) | −417814. | − | 482183.i | −0.503438 | − | 0.580998i | 0.445968 | − | 0.895049i | \(-0.352859\pi\) |
−0.949406 | + | 0.314050i | \(0.898314\pi\) | |||||||
\(912\) | 1.48105e6 | − | 1.05465e6i | 1.78065 | − | 1.26800i | ||||
\(913\) | −610962. | + | 87843.1i | −0.732947 | + | 0.105382i | ||||
\(914\) | −1.83779e6 | − | 839289.i | −2.19990 | − | 1.00466i | ||||
\(915\) | 1.12406e6 | − | 272693.i | 1.34260 | − | 0.325711i | ||||
\(916\) | 274780. | + | 935816.i | 0.327488 | + | 1.11532i | ||||
\(917\) | −49558.4 | − | 257133.i | −0.0589357 | − | 0.305787i | ||||
\(918\) | 1.49267e6 | − | 1.42326e6i | 1.77125 | − | 1.68888i | ||||
\(919\) | 141507. | − | 274485.i | 0.167551 | − | 0.325004i | −0.790079 | − | 0.613005i | \(-0.789961\pi\) |
0.957630 | + | 0.288001i | \(0.0929908\pi\) | |||||||
\(920\) | 2072.35 | − | 2910.21i | 0.00244843 | − | 0.00343834i | ||||
\(921\) | −173302. | − | 1.81490e6i | −0.204308 | − | 2.13961i | ||||
\(922\) | −66702.4 | + | 346085.i | −0.0784656 | + | 0.407118i | ||||
\(923\) | 298233. | + | 464060.i | 0.350068 | + | 0.544716i | ||||
\(924\) | 177955. | − | 81269.2i | 0.208433 | − | 0.0951880i | ||||
\(925\) | −350979. | + | 276013.i | −0.410202 | + | 0.322587i | ||||
\(926\) | 532625. | + | 213231.i | 0.621155 | + | 0.248673i | ||||
\(927\) | −95840.9 | − | 276914.i | −0.111530 | − | 0.322245i | ||||
\(928\) | −1.01226e6 | + | 1.06163e6i | −1.17543 | + | 1.23275i | ||||
\(929\) | −135227. | + | 210417.i | −0.156686 | + | 0.243808i | −0.910717 | − | 0.413030i | \(-0.864470\pi\) |
0.754031 | + | 0.656839i | \(0.228107\pi\) | |||||||
\(930\) | 67883.6 | − | 472141.i | 0.0784872 | − | 0.545891i | ||||
\(931\) | 850625. | − | 438527.i | 0.981383 | − | 0.505938i | ||||
\(932\) | 461862. | + | 159852.i | 0.531716 | + | 0.184029i | ||||
\(933\) | 562772. | − | 649474.i | 0.646501 | − | 0.746102i | ||||
\(934\) | −154194. | + | 1.61479e6i | −0.176756 | + | 1.85107i | ||||
\(935\) | 157942. | + | 46375.9i | 0.180665 | + | 0.0530480i | ||||
\(936\) | −1743.48 | + | 36600.2i | −0.00199006 | + | 0.0417765i | ||||
\(937\) | − | 1.38640e6i | − | 1.57910i | −0.613689 | − | 0.789548i | \(-0.710315\pi\) | ||
0.613689 | − | 0.789548i | \(-0.289685\pi\) | |||||||
\(938\) | −285583. | − | 35599.8i | −0.324584 | − | 0.0404615i | ||||
\(939\) | 29949.4 | 0.0339670 | ||||||||
\(940\) | 663193. | + | 31591.8i | 0.750558 | + | 0.0357535i | ||||
\(941\) | −51392.1 | + | 175025.i | −0.0580386 | + | 0.197661i | −0.983409 | − | 0.181403i | \(-0.941936\pi\) |
0.925370 | + | 0.379065i | \(0.123754\pi\) | |||||||
\(942\) | 2.04096e6 | + | 194888.i | 2.30003 | + | 0.219626i | ||||
\(943\) | −642207. | − | 556476.i | −0.722191 | − | 0.625782i | ||||
\(944\) | −118744. | + | 343089.i | −0.133250 | + | 0.385002i | ||||
\(945\) | −141783. | − | 275021.i | −0.158767 | − | 0.307966i | ||||
\(946\) | 673339. | + | 96811.5i | 0.752404 | + | 0.108179i | ||||
\(947\) | 393505. | + | 252890.i | 0.438783 | + | 0.281989i | 0.741324 | − | 0.671148i | \(-0.234198\pi\) |
−0.302541 | + | 0.953137i | \(0.597835\pi\) | |||||||
\(948\) | 1.41914e6 | + | 1.35315e6i | 1.57910 | + | 1.50566i | ||||
\(949\) | −1.75014e6 | + | 605731.i | −1.94331 | + | 0.672585i | ||||
\(950\) | 384935. | − | 961520.i | 0.426520 | − | 1.06540i | ||||
\(951\) | −994982. | − | 1.26522e6i | −1.10016 | − | 1.39896i | ||||
\(952\) | 573.702 | + | 1256.23i | 0.000633013 | + | 0.00138611i | ||||
\(953\) | 53374.3 | − | 34301.6i | 0.0587687 | − | 0.0377683i | −0.510927 | − | 0.859624i | \(-0.670698\pi\) |
0.569695 | + | 0.821856i | \(0.307061\pi\) | |||||||
\(954\) | 1.69752e6 | + | 327169.i | 1.86516 | + | 0.359481i | ||||
\(955\) | 610528. | − | 58298.4i | 0.669420 | − | 0.0639219i | ||||
\(956\) | 1.03464e6 | + | 736760.i | 1.13207 | + | 0.806140i | ||||
\(957\) | 978523. | + | 504463.i | 1.06843 | + | 0.550815i | ||||
\(958\) | −148884. | − | 156145.i | −0.162224 | − | 0.170136i | ||||
\(959\) | −374814. | + | 72239.5i | −0.407548 | + | 0.0785484i | ||||
\(960\) | 892475. | − | 262054.i | 0.968398 | − | 0.284347i | ||||
\(961\) | 186052. | + | 766918.i | 0.201460 | + | 0.830428i | ||||
\(962\) | 670960. | − | 1.46920e6i | 0.725014 | − | 1.58756i | ||||
\(963\) | −493920. | − | 3.43529e6i | −0.532603 | − | 3.70434i | ||||
\(964\) | −583273. | − | 819093.i | −0.627651 | − | 0.881412i | ||||
\(965\) | −249333. | + | 216048.i | −0.267747 | + | 0.232004i | ||||
\(966\) | 157036. | + | 392256.i | 0.168284 | + | 0.420354i | ||||
\(967\) | −190766. | + | 330416.i | −0.204008 | + | 0.353352i | −0.949816 | − | 0.312809i | \(-0.898730\pi\) |
0.745808 | + | 0.666161i | \(0.232064\pi\) | |||||||
\(968\) | 5961.01 | − | 3441.59i | 0.00636164 | − | 0.00367289i | ||||
\(969\) | −804274. | + | 1.02272e6i | −0.856557 | + | 1.08920i | ||||
\(970\) | 588274. | + | 142714.i | 0.625224 | + | 0.151678i | ||||
\(971\) | −40634.6 | − | 853025.i | −0.0430980 | − | 0.904739i | −0.912109 | − | 0.409947i | \(-0.865547\pi\) |
0.869011 | − | 0.494792i | \(-0.164756\pi\) | |||||||
\(972\) | −1.97112e6 | + | 93895.9i | −2.08632 | + | 0.0993835i | ||||
\(973\) | −12229.1 | + | 50409.1i | −0.0129172 | + | 0.0532456i | ||||
\(974\) | −1.31053e6 | − | 1.03061e6i | −1.38143 | − | 1.08637i | ||||
\(975\) | 1.01689e6 | + | 1.76131e6i | 1.06971 | + | 1.85279i | ||||
\(976\) | 1.12075e6 | + | 647065.i | 1.17655 | + | 0.679280i | ||||
\(977\) | −236003. | + | 94481.3i | −0.247245 | + | 0.0989821i | −0.491975 | − | 0.870609i | \(-0.663725\pi\) |
0.244730 | + | 0.969591i | \(0.421301\pi\) | |||||||
\(978\) | −132130. | − | 152486.i | −0.138141 | − | 0.159423i | ||||
\(979\) | −770490. | + | 548663.i | −0.803899 | + | 0.572454i | ||||
\(980\) | 491759. | − | 70704.3i | 0.512036 | − | 0.0736196i | ||||
\(981\) | 833508. | + | 380650.i | 0.866108 | + | 0.395538i | ||||
\(982\) | −2.13469e6 | + | 517871.i | −2.21367 | + | 0.537030i | ||||
\(983\) | −306341. | − | 1.04330e6i | −0.317028 | − | 1.07970i | −0.951729 | − | 0.306941i | \(-0.900695\pi\) |
0.634700 | − | 0.772759i | \(-0.281124\pi\) | |||||||
\(984\) | 4507.90 | + | 23389.2i | 0.00465569 | + | 0.0241560i | ||||
\(985\) | −453047. | + | 431979.i | −0.466950 | + | 0.445236i | ||||
\(986\) | 484504. | − | 939806.i | 0.498360 | − | 0.966684i | ||||
\(987\) | 334775. | − | 470126.i | 0.343652 | − | 0.482591i | ||||
\(988\) | 177410. | + | 1.85793e6i | 0.181746 | + | 1.90333i | ||||
\(989\) | −138515. | + | 718686.i | −0.141614 | + | 0.734762i | ||||
\(990\) | −542623. | − | 844338.i | −0.553641 | − | 0.861482i | ||||
\(991\) | 57976.7 | − | 26477.1i | 0.0590346 | − | 0.0269602i | −0.385679 | − | 0.922633i | \(-0.626033\pi\) |
0.444714 | + | 0.895673i | \(0.353305\pi\) | |||||||
\(992\) | 416468. | − | 327514.i | 0.423212 | − | 0.332818i | ||||
\(993\) | 1.48209e6 | + | 593340.i | 1.50306 | + | 0.601735i | ||||
\(994\) | −41461.8 | − | 119796.i | −0.0419638 | − | 0.121247i | ||||
\(995\) | −450365. | + | 472329.i | −0.454903 | + | 0.477088i | ||||
\(996\) | 1.36928e6 | − | 2.13065e6i | 1.38030 | − | 2.14779i | ||||
\(997\) | 274849. | − | 1.91162e6i | 0.276505 | − | 1.92314i | −0.0965504 | − | 0.995328i | \(-0.530781\pi\) |
0.373056 | − | 0.927809i | \(-0.378310\pi\) | |||||||
\(998\) | 1.25072e6 | − | 644793.i | 1.25574 | − | 0.647380i | ||||
\(999\) | −1.91805e6 | − | 663845.i | −1.92190 | − | 0.665175i |
(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 | 67.5.h.a.2.19 | ✓ | 440 | |
67.34 | odd | 66 | inner | 67.5.h.a.34.19 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
67.5.h.a.2.19 | ✓ | 440 | 1.1 | even | 1 | trivial | |
67.5.h.a.34.19 | yes | 440 | 67.34 | odd | 66 | inner |