Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), 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: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.12 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.12 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.61226 | − | 3.02920i | −0.653066 | − | 0.757301i | ||||
\(3\) | 13.6721 | − | 2.41076i | 1.51912 | − | 0.267862i | 0.649035 | − | 0.760758i | \(-0.275173\pi\) |
0.870088 | + | 0.492896i | \(0.164062\pi\) | |||||||
\(4\) | −2.35216 | + | 15.8262i | −0.147010 | + | 0.989135i | ||||
\(5\) | 3.65652 | − | 3.06818i | 0.146261 | − | 0.122727i | −0.566722 | − | 0.823909i | \(-0.691788\pi\) |
0.712982 | + | 0.701182i | \(0.247344\pi\) | |||||||
\(6\) | −43.0179 | − | 35.1181i | −1.19494 | − | 0.975502i | ||||
\(7\) | −76.9302 | − | 44.4157i | −1.57000 | − | 0.906442i | −0.996167 | − | 0.0874725i | \(-0.972121\pi\) |
−0.573837 | − | 0.818970i | \(-0.694546\pi\) | |||||||
\(8\) | 54.0851 | − | 34.2169i | 0.845080 | − | 0.534640i | ||||
\(9\) | 105.000 | − | 38.2168i | 1.29629 | − | 0.471812i | ||||
\(10\) | −18.8459 | − | 3.06144i | −0.188459 | − | 0.0306144i | ||||
\(11\) | 136.857 | − | 79.0144i | 1.13105 | − | 0.653011i | 0.186850 | − | 0.982388i | \(-0.440172\pi\) |
0.944198 | + | 0.329377i | \(0.106839\pi\) | |||||||
\(12\) | 5.99414 | + | 222.048i | 0.0416259 | + | 1.54200i | ||||
\(13\) | 33.9535 | − | 192.560i | 0.200908 | − | 1.13941i | −0.702841 | − | 0.711347i | \(-0.748086\pi\) |
0.903750 | − | 0.428061i | \(-0.140803\pi\) | |||||||
\(14\) | 66.4178 | + | 349.063i | 0.338866 | + | 1.78093i | ||||
\(15\) | 42.5956 | − | 50.7635i | 0.189314 | − | 0.225616i | ||||
\(16\) | −244.935 | − | 74.4513i | −0.956776 | − | 0.290825i | ||||
\(17\) | −66.6579 | − | 24.2615i | −0.230650 | − | 0.0839498i | 0.224110 | − | 0.974564i | \(-0.428053\pi\) |
−0.454760 | + | 0.890614i | \(0.650275\pi\) | |||||||
\(18\) | −390.054 | − | 218.233i | −1.20387 | − | 0.673560i | ||||
\(19\) | 290.672 | − | 214.081i | 0.805186 | − | 0.593022i | ||||
\(20\) | 39.9568 | + | 65.0855i | 0.0998921 | + | 0.162714i | ||||
\(21\) | −1158.87 | − | 421.796i | −2.62783 | − | 0.956453i | ||||
\(22\) | −596.857 | − | 208.161i | −1.23318 | − | 0.430085i | ||||
\(23\) | 110.879 | − | 132.140i | 0.209600 | − | 0.249792i | −0.650994 | − | 0.759083i | \(-0.725648\pi\) |
0.860595 | + | 0.509291i | \(0.170092\pi\) | |||||||
\(24\) | 656.969 | − | 598.204i | 1.14057 | − | 1.03855i | ||||
\(25\) | −104.574 | + | 593.067i | −0.167318 | + | 0.948907i | ||||
\(26\) | −671.999 | + | 400.165i | −0.994082 | + | 0.591960i | ||||
\(27\) | 369.570 | − | 213.371i | 0.506955 | − | 0.292690i | ||||
\(28\) | 883.881 | − | 1113.04i | 1.12740 | − | 1.41969i | ||||
\(29\) | −687.056 | + | 250.068i | −0.816951 | + | 0.297346i | −0.716492 | − | 0.697595i | \(-0.754253\pi\) |
−0.100459 | + | 0.994941i | \(0.532031\pi\) | |||||||
\(30\) | −265.044 | + | 3.57676i | −0.294493 | + | 0.00397418i | ||||
\(31\) | 701.660 | + | 405.104i | 0.730136 | + | 0.421544i | 0.818472 | − | 0.574547i | \(-0.194822\pi\) |
−0.0883362 | + | 0.996091i | \(0.528155\pi\) | |||||||
\(32\) | 414.306 | + | 936.444i | 0.404596 | + | 0.914496i | ||||
\(33\) | 1680.64 | − | 1410.22i | 1.54329 | − | 1.29497i | ||||
\(34\) | 100.635 | + | 265.298i | 0.0870545 | + | 0.229496i | ||||
\(35\) | −417.572 | + | 73.6292i | −0.340875 | + | 0.0601054i | ||||
\(36\) | 357.849 | + | 1751.64i | 0.276118 | + | 1.35157i | ||||
\(37\) | −665.757 | −0.486309 | −0.243155 | − | 0.969988i | \(-0.578182\pi\) | ||||
−0.243155 | + | 0.969988i | \(0.578182\pi\) | |||||||
\(38\) | −1407.81 | − | 321.270i | −0.974936 | − | 0.222486i | ||||
\(39\) | − | 2714.56i | − | 1.78472i | ||||||
\(40\) | 92.7794 | − | 291.058i | 0.0579871 | − | 0.181911i | ||||
\(41\) | 26.5664 | + | 150.666i | 0.0158039 | + | 0.0896286i | 0.991690 | − | 0.128654i | \(-0.0410657\pi\) |
−0.975886 | + | 0.218283i | \(0.929955\pi\) | |||||||
\(42\) | 1749.58 | + | 4612.31i | 0.991825 | + | 2.61469i | ||||
\(43\) | 1917.80 | + | 2285.55i | 1.03721 | + | 1.23610i | 0.971196 | + | 0.238282i | \(0.0765843\pi\) |
0.0660157 | + | 0.997819i | \(0.478971\pi\) | |||||||
\(44\) | 928.585 | + | 2351.77i | 0.479641 | + | 1.21476i | ||||
\(45\) | 266.677 | − | 461.899i | 0.131693 | − | 0.228098i | ||||
\(46\) | −689.923 | + | 9.31048i | −0.326051 | + | 0.00440004i | ||||
\(47\) | 617.989 | + | 1697.91i | 0.279760 | + | 0.768633i | 0.997390 | + | 0.0722086i | \(0.0230047\pi\) |
−0.717630 | + | 0.696425i | \(0.754773\pi\) | |||||||
\(48\) | −3528.26 | − | 427.427i | −1.53136 | − | 0.185515i | ||||
\(49\) | 2745.00 | + | 4754.48i | 1.14327 | + | 1.98021i | ||||
\(50\) | 2069.70 | − | 1232.47i | 0.827878 | − | 0.492989i | ||||
\(51\) | −969.843 | − | 171.009i | −0.372873 | − | 0.0657476i | ||||
\(52\) | 2967.62 | + | 990.286i | 1.09749 | + | 0.366230i | ||||
\(53\) | −1930.46 | − | 1619.85i | −0.687243 | − | 0.576665i | 0.230870 | − | 0.972985i | \(-0.425843\pi\) |
−0.918113 | + | 0.396320i | \(0.870287\pi\) | |||||||
\(54\) | −1611.76 | − | 562.121i | −0.552730 | − | 0.192771i | ||||
\(55\) | 257.989 | − | 708.819i | 0.0852856 | − | 0.234320i | ||||
\(56\) | −5680.55 | + | 230.088i | −1.81140 | + | 0.0733699i | ||||
\(57\) | 3458.01 | − | 3627.68i | 1.06433 | − | 1.11655i | ||||
\(58\) | 2552.28 | + | 1427.99i | 0.758704 | + | 0.424492i | ||||
\(59\) | 1285.07 | − | 3530.69i | 0.369166 | − | 1.01428i | −0.606513 | − | 0.795073i | \(-0.707432\pi\) |
0.975679 | − | 0.219202i | \(-0.0703455\pi\) | |||||||
\(60\) | 703.200 | + | 793.529i | 0.195333 | + | 0.220425i | ||||
\(61\) | 996.613 | + | 836.257i | 0.267835 | + | 0.224740i | 0.766807 | − | 0.641878i | \(-0.221845\pi\) |
−0.498972 | + | 0.866618i | \(0.666289\pi\) | |||||||
\(62\) | −605.780 | − | 3183.71i | −0.157591 | − | 0.828229i | ||||
\(63\) | −9775.08 | − | 1723.61i | −2.46286 | − | 0.434268i | ||||
\(64\) | 1754.40 | − | 3701.25i | 0.428321 | − | 0.903627i | ||||
\(65\) | −466.657 | − | 808.274i | −0.110451 | − | 0.191308i | ||||
\(66\) | −8662.12 | − | 1407.12i | −1.98855 | − | 0.323031i | ||||
\(67\) | −1854.32 | − | 5094.70i | −0.413081 | − | 1.13493i | −0.955543 | − | 0.294850i | \(-0.904730\pi\) |
0.542463 | − | 0.840080i | \(-0.317492\pi\) | |||||||
\(68\) | 540.756 | − | 997.872i | 0.116946 | − | 0.215803i | ||||
\(69\) | 1197.39 | − | 2073.93i | 0.251499 | − | 0.435609i | ||||
\(70\) | 1313.85 | + | 1072.57i | 0.268132 | + | 0.218892i | ||||
\(71\) | 4946.19 | + | 5894.64i | 0.981193 | + | 1.16934i | 0.985556 | + | 0.169350i | \(0.0541667\pi\) |
−0.00436316 | + | 0.999990i | \(0.501389\pi\) | |||||||
\(72\) | 4371.27 | − | 5659.73i | 0.843223 | − | 1.09177i | ||||
\(73\) | −224.644 | − | 1274.02i | −0.0421549 | − | 0.239072i | 0.956449 | − | 0.291900i | \(-0.0942876\pi\) |
−0.998604 | + | 0.0528280i | \(0.983176\pi\) | |||||||
\(74\) | 1739.13 | + | 2016.71i | 0.317592 | + | 0.368282i | ||||
\(75\) | 8360.58i | 1.48633i | ||||||||
\(76\) | 2704.37 | + | 5103.78i | 0.468208 | + | 0.883618i | ||||
\(77\) | −14037.9 | −2.36767 | ||||||||
\(78\) | −8222.94 | + | 7091.14i | −1.35157 | + | 1.16554i | ||||
\(79\) | 11451.9 | − | 2019.27i | 1.83494 | − | 0.323550i | 0.854363 | − | 0.519676i | \(-0.173948\pi\) |
0.980579 | + | 0.196127i | \(0.0628364\pi\) | |||||||
\(80\) | −1124.04 | + | 479.272i | −0.175631 | + | 0.0748862i | ||||
\(81\) | −2394.91 | + | 2009.57i | −0.365022 | + | 0.306290i | ||||
\(82\) | 386.999 | − | 474.054i | 0.0575548 | − | 0.0705017i | ||||
\(83\) | −1288.51 | − | 743.921i | −0.187039 | − | 0.107987i | 0.403557 | − | 0.914955i | \(-0.367774\pi\) |
−0.590596 | + | 0.806968i | \(0.701107\pi\) | |||||||
\(84\) | 9401.26 | − | 17348.4i | 1.33238 | − | 2.45867i | ||||
\(85\) | −318.174 | + | 115.806i | −0.0440380 | + | 0.0160285i | ||||
\(86\) | 1913.59 | − | 11779.9i | 0.258733 | − | 1.59274i | ||||
\(87\) | −8790.65 | + | 5075.29i | −1.16140 | + | 0.670536i | ||||
\(88\) | 4698.29 | − | 8956.32i | 0.606701 | − | 1.15655i | ||||
\(89\) | −2655.39 | + | 15059.5i | −0.335234 | + | 1.90121i | 0.0896736 | + | 0.995971i | \(0.471418\pi\) |
−0.424908 | + | 0.905237i | \(0.639693\pi\) | |||||||
\(90\) | −2095.82 | + | 398.781i | −0.258743 | + | 0.0492322i | ||||
\(91\) | −11164.7 | + | 13305.6i | −1.34823 | + | 1.60676i | ||||
\(92\) | 1830.46 | + | 2065.60i | 0.216265 | + | 0.244045i | ||||
\(93\) | 10569.8 | + | 3847.09i | 1.22208 | + | 0.444802i | ||||
\(94\) | 3528.97 | − | 6307.41i | 0.399385 | − | 0.713830i | ||||
\(95\) | 406.009 | − | 1674.63i | 0.0449871 | − | 0.185554i | ||||
\(96\) | 7921.98 | + | 11804.4i | 0.859590 | + | 1.28086i | ||||
\(97\) | 2330.55 | + | 848.252i | 0.247694 | + | 0.0901533i | 0.462884 | − | 0.886419i | \(-0.346815\pi\) |
−0.215190 | + | 0.976572i | \(0.569037\pi\) | |||||||
\(98\) | 7231.63 | − | 20735.1i | 0.752981 | − | 2.15901i | ||||
\(99\) | 11350.3 | − | 13526.7i | 1.15807 | − | 1.38014i | ||||
\(100\) | −9140.00 | − | 3049.99i | −0.914000 | − | 0.304999i | ||||
\(101\) | 205.251 | − | 1164.03i | 0.0201206 | − | 0.114110i | −0.973093 | − | 0.230411i | \(-0.925993\pi\) |
0.993214 | + | 0.116302i | \(0.0371039\pi\) | |||||||
\(102\) | 2015.46 | + | 3384.57i | 0.193720 | + | 0.325315i | ||||
\(103\) | −5598.17 | + | 3232.10i | −0.527681 | + | 0.304657i | −0.740072 | − | 0.672528i | \(-0.765208\pi\) |
0.212391 | + | 0.977185i | \(0.431875\pi\) | |||||||
\(104\) | −4752.43 | − | 11576.4i | −0.439389 | − | 1.07030i | ||||
\(105\) | −5531.59 | + | 2013.33i | −0.501731 | + | 0.182615i | ||||
\(106\) | 136.019 | + | 10079.3i | 0.0121056 | + | 0.897050i | ||||
\(107\) | −7027.39 | − | 4057.27i | −0.613800 | − | 0.354377i | 0.160651 | − | 0.987011i | \(-0.448640\pi\) |
−0.774451 | + | 0.632634i | \(0.781974\pi\) | |||||||
\(108\) | 2507.56 | + | 6350.76i | 0.214983 | + | 0.544475i | ||||
\(109\) | 10097.2 | − | 8472.52i | 0.849857 | − | 0.713115i | −0.109901 | − | 0.993943i | \(-0.535053\pi\) |
0.959758 | + | 0.280828i | \(0.0906089\pi\) | |||||||
\(110\) | −2821.09 | + | 1070.12i | −0.233148 | + | 0.0884397i | ||||
\(111\) | −9102.31 | + | 1604.98i | −0.738764 | + | 0.130264i | ||||
\(112\) | 15536.1 | + | 16606.5i | 1.23853 | + | 1.32386i | ||||
\(113\) | 11087.0 | 0.868276 | 0.434138 | − | 0.900846i | \(-0.357053\pi\) | ||||
0.434138 | + | 0.900846i | \(0.357053\pi\) | |||||||
\(114\) | −20022.2 | − | 998.547i | −1.54064 | − | 0.0768350i | ||||
\(115\) | − | 823.368i | − | 0.0622584i | ||||||
\(116\) | −2341.55 | − | 11461.7i | −0.174015 | − | 0.851788i | ||||
\(117\) | −3793.91 | − | 21516.4i | −0.277151 | − | 1.57180i | ||||
\(118\) | −14052.1 | + | 5330.37i | −1.00920 | + | 0.382819i | ||||
\(119\) | 4050.41 | + | 4827.09i | 0.286026 | + | 0.340872i | ||||
\(120\) | 566.819 | − | 4203.04i | 0.0393625 | − | 0.291878i | ||||
\(121\) | 5166.04 | − | 8947.84i | 0.352847 | − | 0.611150i | ||||
\(122\) | −70.2206 | − | 5203.47i | −0.00471786 | − | 0.349601i | ||||
\(123\) | 726.438 | + | 1995.87i | 0.0480163 | + | 0.131924i | ||||
\(124\) | −8061.65 | + | 10151.7i | −0.524301 | + | 0.660232i | ||||
\(125\) | 2928.90 | + | 5073.00i | 0.187450 | + | 0.324672i | ||||
\(126\) | 20313.9 | + | 34113.2i | 1.27954 | + | 2.14873i | ||||
\(127\) | −16745.0 | − | 2952.59i | −1.03819 | − | 0.183061i | −0.371528 | − | 0.928422i | \(-0.621166\pi\) |
−0.666661 | + | 0.745361i | \(0.732277\pi\) | |||||||
\(128\) | −15794.8 | + | 4354.21i | −0.964039 | + | 0.265760i | ||||
\(129\) | 31730.4 | + | 26624.9i | 1.90676 | + | 1.59996i | ||||
\(130\) | −1229.40 | + | 3525.03i | −0.0727453 | + | 0.208581i | ||||
\(131\) | 1245.94 | − | 3423.20i | 0.0726031 | − | 0.199475i | −0.898083 | − | 0.439826i | \(-0.855040\pi\) |
0.970686 | + | 0.240351i | \(0.0772624\pi\) | |||||||
\(132\) | 18365.3 | + | 29915.1i | 1.05402 | + | 1.71689i | ||||
\(133\) | −31870.0 | + | 3558.89i | −1.80169 | + | 0.201192i | ||||
\(134\) | −10588.9 | + | 18925.8i | −0.589715 | + | 1.05401i | ||||
\(135\) | 696.677 | − | 1914.10i | 0.0382264 | − | 0.105026i | ||||
\(136\) | −4435.35 | + | 968.643i | −0.239801 | + | 0.0523704i | ||||
\(137\) | −14078.9 | − | 11813.6i | −0.750112 | − | 0.629419i | 0.185420 | − | 0.982659i | \(-0.440635\pi\) |
−0.935533 | + | 0.353240i | \(0.885080\pi\) | |||||||
\(138\) | −9410.26 | + | 1790.53i | −0.494133 | + | 0.0940209i | ||||
\(139\) | 22929.7 | + | 4043.13i | 1.18678 | + | 0.209261i | 0.731975 | − | 0.681332i | \(-0.238599\pi\) |
0.454802 | + | 0.890592i | \(0.349710\pi\) | |||||||
\(140\) | −183.072 | − | 6781.75i | −0.00934041 | − | 0.346007i | ||||
\(141\) | 12542.5 | + | 21724.2i | 0.630878 | + | 1.09271i | ||||
\(142\) | 4935.32 | − | 30381.4i | 0.244759 | − | 1.50671i | ||||
\(143\) | −10568.2 | − | 29036.0i | −0.516809 | − | 1.41992i | ||||
\(144\) | −28563.4 | + | 1543.25i | −1.37748 | + | 0.0744238i | ||||
\(145\) | −1744.98 | + | 3022.39i | −0.0829954 | + | 0.143752i | ||||
\(146\) | −3272.43 | + | 4008.56i | −0.153520 | + | 0.188054i | ||||
\(147\) | 48991.9 | + | 58386.3i | 2.26720 | + | 2.70194i | ||||
\(148\) | 1565.97 | − | 10536.4i | 0.0714923 | − | 0.481025i | ||||
\(149\) | −2225.05 | − | 12618.9i | −0.100223 | − | 0.568394i | −0.993021 | − | 0.117937i | \(-0.962372\pi\) |
0.892798 | − | 0.450457i | \(-0.148739\pi\) | |||||||
\(150\) | 25325.9 | − | 21840.0i | 1.12560 | − | 0.970669i | ||||
\(151\) | − | 14282.1i | − | 0.626381i | −0.949690 | − | 0.313191i | \(-0.898602\pi\) | ||
0.949690 | − | 0.313191i | \(-0.101398\pi\) | |||||||
\(152\) | 8395.85 | − | 21524.5i | 0.363394 | − | 0.931636i | ||||
\(153\) | −7926.26 | −0.338599 | ||||||||
\(154\) | 36670.7 | + | 42523.7i | 1.54624 | + | 1.79304i | ||||
\(155\) | 3808.56 | − | 671.553i | 0.158525 | − | 0.0279522i | ||||
\(156\) | 42961.0 | + | 6385.07i | 1.76533 | + | 0.262371i | ||||
\(157\) | 10750.3 | − | 9020.58i | 0.436136 | − | 0.365961i | −0.398125 | − | 0.917331i | \(-0.630339\pi\) |
0.834261 | + | 0.551370i | \(0.185895\pi\) | |||||||
\(158\) | −36032.1 | − | 29415.2i | −1.44336 | − | 1.17830i | ||||
\(159\) | −30298.6 | − | 17492.9i | −1.19847 | − | 0.691939i | ||||
\(160\) | 4388.09 | + | 2152.96i | 0.171410 | + | 0.0840998i | ||||
\(161\) | −14399.0 | + | 5240.81i | −0.555495 | + | 0.202184i | ||||
\(162\) | 12343.5 | + | 2005.15i | 0.470337 | + | 0.0764042i | ||||
\(163\) | 13451.4 | − | 7766.17i | 0.506282 | − | 0.292302i | −0.225022 | − | 0.974354i | \(-0.572245\pi\) |
0.731304 | + | 0.682052i | \(0.238912\pi\) | |||||||
\(164\) | −2446.95 | + | 66.0549i | −0.0909781 | + | 0.00245594i | ||||
\(165\) | 1818.46 | − | 10313.0i | 0.0667938 | − | 0.378806i | ||||
\(166\) | 1112.44 | + | 5846.48i | 0.0403700 | + | 0.212167i | ||||
\(167\) | −1.63239 | + | 1.94541i | −5.85317e−5 | + | 6.97554e-5i | −0.766074 | − | 0.642753i | \(-0.777792\pi\) |
0.766015 | + | 0.642822i | \(0.222237\pi\) | |||||||
\(168\) | −77110.4 | + | 16840.2i | −2.73209 | + | 0.596664i | ||||
\(169\) | −9087.95 | − | 3307.74i | −0.318194 | − | 0.115813i | ||||
\(170\) | 1181.95 | + | 661.299i | 0.0408981 | + | 0.0228823i | ||||
\(171\) | 22339.0 | − | 33587.0i | 0.763963 | − | 1.14863i | ||||
\(172\) | −40682.5 | + | 24975.5i | −1.37515 | + | 0.844223i | ||||
\(173\) | −21912.7 | − | 7975.57i | −0.732156 | − | 0.266483i | −0.0510787 | − | 0.998695i | \(-0.516266\pi\) |
−0.681077 | + | 0.732212i | \(0.738488\pi\) | |||||||
\(174\) | 38337.6 | + | 13370.7i | 1.26627 | + | 0.441627i | ||||
\(175\) | 34386.3 | − | 40980.1i | 1.12282 | − | 1.33812i | ||||
\(176\) | −39403.7 | + | 9164.19i | −1.27207 | + | 0.295848i | ||||
\(177\) | 9057.92 | − | 51370.0i | 0.289123 | − | 1.63970i | ||||
\(178\) | 52554.8 | − | 31295.6i | 1.65872 | − | 0.987741i | ||||
\(179\) | −36616.3 | + | 21140.4i | −1.14280 | + | 0.659793i | −0.947121 | − | 0.320876i | \(-0.896023\pi\) |
−0.195674 | + | 0.980669i | \(0.562690\pi\) | |||||||
\(180\) | 6682.82 | + | 5306.94i | 0.206260 | + | 0.163794i | ||||
\(181\) | −12999.6 | + | 4731.48i | −0.396802 | + | 0.144424i | −0.532711 | − | 0.846297i | \(-0.678827\pi\) |
0.135909 | + | 0.990721i | \(0.456605\pi\) | |||||||
\(182\) | 69470.6 | − | 937.503i | 2.09729 | − | 0.0283028i | ||||
\(183\) | 15641.8 | + | 9030.81i | 0.467073 | + | 0.269665i | ||||
\(184\) | 1475.46 | − | 10940.7i | 0.0435804 | − | 0.323155i | ||||
\(185\) | −2434.35 | + | 2042.66i | −0.0711279 | + | 0.0596834i | ||||
\(186\) | −15957.5 | − | 42067.7i | −0.461251 | − | 1.21597i | ||||
\(187\) | −11039.6 | + | 1946.58i | −0.315697 | + | 0.0556658i | ||||
\(188\) | −28325.0 | + | 5786.64i | −0.801410 | + | 0.163723i | ||||
\(189\) | −37908.1 | −1.06123 | ||||||||
\(190\) | −6133.38 | + | 3144.68i | −0.169900 | + | 0.0871103i | ||||
\(191\) | 35238.7i | 0.965946i | 0.875635 | + | 0.482973i | \(0.160443\pi\) | ||||
−0.875635 | + | 0.482973i | \(0.839557\pi\) | |||||||
\(192\) | 15063.6 | − | 54833.4i | 0.408625 | − | 1.48745i | ||||
\(193\) | 7363.80 | + | 41762.2i | 0.197691 | + | 1.12116i | 0.908534 | + | 0.417812i | \(0.137203\pi\) |
−0.710842 | + | 0.703351i | \(0.751686\pi\) | |||||||
\(194\) | −3518.49 | − | 9275.58i | −0.0934874 | − | 0.246455i | ||||
\(195\) | −8328.75 | − | 9925.82i | −0.219034 | − | 0.261034i | ||||
\(196\) | −81701.9 | + | 32259.5i | −2.12677 | + | 0.839743i | ||||
\(197\) | −23708.0 | + | 41063.5i | −0.610890 | + | 1.05809i | 0.380201 | + | 0.924904i | \(0.375855\pi\) |
−0.991091 | + | 0.133188i | \(0.957478\pi\) | |||||||
\(198\) | −70625.1 | + | 953.083i | −1.80148 | + | 0.0243109i | ||||
\(199\) | −4338.36 | − | 11919.6i | −0.109552 | − | 0.300991i | 0.872787 | − | 0.488101i | \(-0.162310\pi\) |
−0.982339 | + | 0.187110i | \(0.940088\pi\) | |||||||
\(200\) | 14637.1 | + | 35654.3i | 0.365926 | + | 0.891358i | ||||
\(201\) | −37634.6 | − | 65185.0i | −0.931526 | − | 1.61345i | ||||
\(202\) | −4062.27 | + | 2419.02i | −0.0995556 | + | 0.0592839i | ||||
\(203\) | 63962.3 | + | 11278.3i | 1.55214 | + | 0.273685i | ||||
\(204\) | 4987.65 | − | 14946.6i | 0.119849 | − | 0.359156i | ||||
\(205\) | 559.410 | + | 469.401i | 0.0133114 | + | 0.0111696i | ||||
\(206\) | 24414.6 | + | 8514.89i | 0.575327 | + | 0.200652i | ||||
\(207\) | 6592.26 | − | 18112.1i | 0.153849 | − | 0.422696i | ||||
\(208\) | −22652.7 | + | 44636.7i | −0.523593 | + | 1.03173i | ||||
\(209\) | 22865.0 | − | 52265.7i | 0.523455 | − | 1.19653i | ||||
\(210\) | 20548.8 | + | 11496.9i | 0.465958 | + | 0.260702i | ||||
\(211\) | 7000.91 | − | 19234.8i | 0.157250 | − | 0.432040i | −0.835901 | − | 0.548880i | \(-0.815054\pi\) |
0.993151 | + | 0.116840i | \(0.0372766\pi\) | |||||||
\(212\) | 30176.8 | − | 26741.7i | 0.671431 | − | 0.595000i | ||||
\(213\) | 81835.5 | + | 68668.1i | 1.80378 | + | 1.51355i | ||||
\(214\) | 6067.11 | + | 31886.1i | 0.132481 | + | 0.696263i | ||||
\(215\) | 14025.0 | + | 2472.98i | 0.303407 | + | 0.0534988i | ||||
\(216\) | 12687.3 | − | 24185.8i | 0.271933 | − | 0.518385i | ||||
\(217\) | −35985.9 | − | 62329.4i | −0.764210 | − | 1.32365i | ||||
\(218\) | −52041.4 | − | 8453.89i | −1.09506 | − | 0.177887i | ||||
\(219\) | −6142.70 | − | 16876.9i | −0.128077 | − | 0.351889i | ||||
\(220\) | 10611.1 | + | 5750.23i | 0.219237 | + | 0.118806i | ||||
\(221\) | −6935.06 | + | 12011.9i | −0.141993 | + | 0.245938i | ||||
\(222\) | 28639.4 | + | 23380.1i | 0.581110 | + | 0.474396i | ||||
\(223\) | 36967.2 | + | 44055.8i | 0.743373 | + | 0.885918i | 0.996676 | − | 0.0814692i | \(-0.0259612\pi\) |
−0.253302 | + | 0.967387i | \(0.581517\pi\) | |||||||
\(224\) | 9720.14 | − | 90442.5i | 0.193721 | − | 1.80250i | ||||
\(225\) | 11684.9 | + | 66268.4i | 0.230813 | + | 1.30901i | ||||
\(226\) | −28962.2 | − | 33584.8i | −0.567041 | − | 0.657546i | ||||
\(227\) | − | 62751.6i | − | 1.21779i | −0.793250 | − | 0.608896i | \(-0.791613\pi\) | ||
0.793250 | − | 0.608896i | \(-0.208387\pi\) | |||||||
\(228\) | 49278.5 | + | 63259.8i | 0.947955 | + | 1.21691i | ||||
\(229\) | 16523.5 | 0.315087 | 0.157544 | − | 0.987512i | \(-0.449642\pi\) | ||||
0.157544 | + | 0.987512i | \(0.449642\pi\) | |||||||
\(230\) | −2494.15 | + | 2150.85i | −0.0471484 | + | 0.0406588i | ||||
\(231\) | −191928. | + | 33842.0i | −3.59678 | + | 0.634209i | ||||
\(232\) | −28603.0 | + | 37033.9i | −0.531417 | + | 0.688056i | ||||
\(233\) | 34611.7 | − | 29042.7i | 0.637546 | − | 0.534965i | −0.265717 | − | 0.964051i | \(-0.585609\pi\) |
0.903264 | + | 0.429086i | \(0.141164\pi\) | |||||||
\(234\) | −55266.7 | + | 67698.9i | −1.00933 | + | 1.23637i | ||||
\(235\) | 7469.19 | + | 4312.34i | 0.135250 | + | 0.0780867i | ||||
\(236\) | 52854.6 | + | 28642.4i | 0.948984 | + | 0.514264i | ||||
\(237\) | 151703. | − | 55215.5i | 2.70084 | − | 0.983024i | ||||
\(238\) | 4041.51 | − | 24879.2i | 0.0713493 | − | 0.439220i | ||||
\(239\) | −63353.3 | + | 36577.0i | −1.10911 | + | 0.640343i | −0.938598 | − | 0.345013i | \(-0.887875\pi\) |
−0.170509 | + | 0.985356i | \(0.554541\pi\) | |||||||
\(240\) | −14212.6 | + | 9262.45i | −0.246746 | + | 0.160806i | ||||
\(241\) | −15908.4 | + | 90221.0i | −0.273900 | + | 1.55336i | 0.468534 | + | 0.883446i | \(0.344782\pi\) |
−0.742434 | + | 0.669919i | \(0.766329\pi\) | |||||||
\(242\) | −40599.9 | + | 7725.13i | −0.693257 | + | 0.131909i | ||||
\(243\) | −50117.6 | + | 59727.8i | −0.848746 | + | 1.01150i | ||||
\(244\) | −15578.9 | + | 13805.5i | −0.261673 | + | 0.231886i | ||||
\(245\) | 24624.8 | + | 8962.68i | 0.410242 | + | 0.149316i | ||||
\(246\) | 4148.26 | − | 7414.28i | 0.0685481 | − | 0.122518i | ||||
\(247\) | −31354.1 | − | 63240.6i | −0.513925 | − | 1.03658i | ||||
\(248\) | 51810.8 | − | 2098.57i | 0.842397 | − | 0.0341209i | ||||
\(249\) | −19410.1 | − | 7064.69i | −0.313060 | − | 0.113945i | ||||
\(250\) | 7716.11 | − | 22124.3i | 0.123458 | − | 0.353988i | ||||
\(251\) | 16503.1 | − | 19667.7i | 0.261950 | − | 0.312180i | −0.618998 | − | 0.785392i | \(-0.712461\pi\) |
0.880948 | + | 0.473212i | \(0.156906\pi\) | |||||||
\(252\) | 50270.7 | − | 150648.i | 0.791614 | − | 2.37226i | ||||
\(253\) | 4733.54 | − | 26845.3i | 0.0739512 | − | 0.419398i | ||||
\(254\) | 34798.3 | + | 58436.8i | 0.539374 | + | 0.905773i | ||||
\(255\) | −4070.93 | + | 2350.35i | −0.0626057 | + | 0.0361454i | ||||
\(256\) | 54450.0 | + | 36471.4i | 0.830841 | + | 0.556509i | ||||
\(257\) | 60353.6 | − | 21966.9i | 0.913770 | − | 0.332585i | 0.158013 | − | 0.987437i | \(-0.449491\pi\) |
0.755757 | + | 0.654852i | \(0.227269\pi\) | |||||||
\(258\) | −2235.70 | − | 165669.i | −0.0335872 | − | 2.48887i | ||||
\(259\) | 51216.8 | + | 29570.1i | 0.763507 | + | 0.440811i | ||||
\(260\) | 13889.5 | − | 5484.21i | 0.205466 | − | 0.0811273i | ||||
\(261\) | −62583.9 | + | 52514.2i | −0.918717 | + | 0.770895i | ||||
\(262\) | −13624.3 | + | 5168.08i | −0.198477 | + | 0.0752881i | ||||
\(263\) | −70971.2 | + | 12514.1i | −1.02605 | + | 0.180921i | −0.661252 | − | 0.750164i | \(-0.729975\pi\) |
−0.364803 | + | 0.931085i | \(0.618864\pi\) | |||||||
\(264\) | 42644.0 | − | 133778.i | 0.611858 | − | 1.91946i | ||||
\(265\) | −12028.8 | −0.171289 | ||||||||
\(266\) | 94033.5 | + | 87244.0i | 1.32898 | + | 1.23303i | ||||
\(267\) | 212296.i | 2.97797i | ||||||||
\(268\) | 84991.2 | − | 17363.2i | 1.18333 | − | 0.241747i | ||||
\(269\) | 10895.3 | + | 61790.2i | 0.150568 | + | 0.853916i | 0.962726 | + | 0.270478i | \(0.0871817\pi\) |
−0.812158 | + | 0.583438i | \(0.801707\pi\) | |||||||
\(270\) | −7618.11 | + | 2889.77i | −0.104501 | + | 0.0396401i | ||||
\(271\) | 9707.79 | + | 11569.3i | 0.132185 | + | 0.157532i | 0.828077 | − | 0.560615i | \(-0.189435\pi\) |
−0.695892 | + | 0.718147i | \(0.744991\pi\) | |||||||
\(272\) | 14520.5 | + | 10905.2i | 0.196266 | + | 0.147400i | ||||
\(273\) | −120569. | + | 208831.i | −1.61774 | + | 2.80201i | ||||
\(274\) | 991.986 | + | 73507.9i | 0.0132131 | + | 0.979113i | ||||
\(275\) | 32549.2 | + | 89428.1i | 0.430402 | + | 1.18252i | ||||
\(276\) | 30006.0 | + | 23828.3i | 0.393903 | + | 0.312805i | ||||
\(277\) | 19842.2 | + | 34367.7i | 0.258601 | + | 0.447910i | 0.965867 | − | 0.259037i | \(-0.0834052\pi\) |
−0.707266 | + | 0.706947i | \(0.750072\pi\) | |||||||
\(278\) | −47651.0 | − | 80020.5i | −0.616570 | − | 1.03541i | ||||
\(279\) | 89156.0 | + | 15720.6i | 1.14536 | + | 0.201958i | ||||
\(280\) | −20065.1 | + | 18270.3i | −0.255932 | + | 0.233039i | ||||
\(281\) | −32501.8 | − | 27272.3i | −0.411619 | − | 0.345389i | 0.413345 | − | 0.910574i | \(-0.364360\pi\) |
−0.824964 | + | 0.565185i | \(0.808805\pi\) | |||||||
\(282\) | 33042.8 | − | 94743.1i | 0.415507 | − | 1.19138i | ||||
\(283\) | 51667.0 | − | 141954.i | 0.645120 | − | 1.77245i | 0.0101079 | − | 0.999949i | \(-0.496782\pi\) |
0.635012 | − | 0.772503i | \(-0.280995\pi\) | |||||||
\(284\) | −104924. | + | 64414.1i | −1.30088 | + | 0.798628i | ||||
\(285\) | 1513.87 | − | 23874.5i | 0.0186380 | − | 0.293930i | ||||
\(286\) | −60348.9 | + | 107863.i | −0.737798 | + | 1.31868i | ||||
\(287\) | 4648.16 | − | 12770.7i | 0.0564309 | − | 0.155043i | ||||
\(288\) | 79289.9 | + | 82492.9i | 0.955945 | + | 0.994562i | ||||
\(289\) | −60126.1 | − | 50451.8i | −0.719893 | − | 0.604062i | ||||
\(290\) | 13713.8 | − | 2609.39i | 0.163065 | − | 0.0310272i | ||||
\(291\) | 33908.5 | + | 5978.99i | 0.400427 | + | 0.0706060i | ||||
\(292\) | 20691.2 | − | 558.555i | 0.242672 | − | 0.00655089i | ||||
\(293\) | 78441.2 | + | 135864.i | 0.913711 | + | 1.58259i | 0.808777 | + | 0.588115i | \(0.200130\pi\) |
0.104934 | + | 0.994479i | \(0.466537\pi\) | |||||||
\(294\) | 48884.2 | − | 300927.i | 0.565554 | − | 3.48150i | ||||
\(295\) | −6133.94 | − | 16852.9i | −0.0704848 | − | 0.193655i | ||||
\(296\) | −36007.6 | + | 22780.2i | −0.410970 | + | 0.260000i | ||||
\(297\) | 33718.8 | − | 58402.7i | 0.382260 | − | 0.662094i | ||||
\(298\) | −32412.8 | + | 39704.1i | −0.364993 | + | 0.447098i | ||||
\(299\) | −21680.2 | − | 25837.4i | −0.242505 | − | 0.289006i | ||||
\(300\) | −132316. | − | 19665.4i | −1.47018 | − | 0.218505i | ||||
\(301\) | −46022.8 | − | 261008.i | −0.507973 | − | 2.88086i | ||||
\(302\) | −43263.4 | + | 37308.7i | −0.474359 | + | 0.409068i | ||||
\(303\) | − | 16409.6i | − | 0.178737i | ||||||
\(304\) | −87134.3 | + | 30794.9i | −0.942849 | + | 0.333221i | ||||
\(305\) | 6209.92 | 0.0667554 | ||||||||
\(306\) | 20705.5 | + | 24010.3i | 0.221127 | + | 0.256421i | ||||
\(307\) | −64024.5 | + | 11289.3i | −0.679313 | + | 0.119781i | −0.502650 | − | 0.864490i | \(-0.667641\pi\) |
−0.176663 | + | 0.984271i | \(0.556530\pi\) | |||||||
\(308\) | 33019.4 | − | 222166.i | 0.348071 | − | 2.34194i | ||||
\(309\) | −68746.9 | + | 57685.5i | −0.720006 | + | 0.604157i | ||||
\(310\) | −11983.2 | − | 9782.65i | −0.124696 | − | 0.101797i | ||||
\(311\) | −131371. | − | 75846.9i | −1.35824 | − | 0.784183i | −0.368857 | − | 0.929486i | \(-0.620251\pi\) |
−0.989387 | + | 0.145304i | \(0.953584\pi\) | |||||||
\(312\) | −92883.8 | − | 146817.i | −0.954181 | − | 1.50823i | ||||
\(313\) | −84185.2 | + | 30640.9i | −0.859305 | + | 0.312761i | −0.733828 | − | 0.679335i | \(-0.762268\pi\) |
−0.125477 | + | 0.992097i | \(0.540046\pi\) | |||||||
\(314\) | −55407.8 | − | 9000.75i | −0.561968 | − | 0.0912892i | ||||
\(315\) | −41031.1 | + | 23689.3i | −0.413516 | + | 0.238743i | ||||
\(316\) | 5020.74 | + | 185989.i | 0.0502798 | + | 1.86257i | ||||
\(317\) | 24077.1 | − | 136548.i | 0.239599 | − | 1.35883i | −0.593109 | − | 0.805122i | \(-0.702100\pi\) |
0.832708 | − | 0.553712i | \(-0.186789\pi\) | |||||||
\(318\) | 26158.3 | + | 137477.i | 0.258676 | + | 1.35949i | ||||
\(319\) | −74269.4 | + | 88510.8i | −0.729841 | + | 0.869791i | ||||
\(320\) | −4941.12 | − | 18916.5i | −0.0482531 | − | 0.184732i | ||||
\(321\) | −105860. | − | 38530.0i | −1.02736 | − | 0.373929i | ||||
\(322\) | 53489.4 | + | 29927.1i | 0.515889 | + | 0.288638i | ||||
\(323\) | −24569.5 | + | 7218.04i | −0.235500 | + | 0.0691854i | ||||
\(324\) | −26170.6 | − | 42629.1i | −0.249300 | − | 0.406084i | ||||
\(325\) | 110650. | + | 40273.4i | 1.04758 | + | 0.381287i | ||||
\(326\) | −58663.9 | − | 20459.8i | −0.551996 | − | 0.192515i | ||||
\(327\) | 117624. | − | 140179.i | 1.10002 | − | 1.31095i | ||||
\(328\) | 6592.17 | + | 7239.75i | 0.0612746 | + | 0.0672940i | ||||
\(329\) | 27871.8 | − | 158069.i | 0.257498 | − | 1.46034i | ||||
\(330\) | −35990.5 | + | 21431.8i | −0.330491 | + | 0.196803i | ||||
\(331\) | 104460. | − | 60310.0i | 0.953441 | − | 0.550469i | 0.0592928 | − | 0.998241i | \(-0.481115\pi\) |
0.894148 | + | 0.447771i | \(0.147782\pi\) | |||||||
\(332\) | 14804.2 | − | 18642.3i | 0.134310 | − | 0.169131i | ||||
\(333\) | −69904.4 | + | 25443.1i | −0.630400 | + | 0.229447i | ||||
\(334\) | 10.1573 | − | 0.137072i | 9.10509e−5 | − | 1.22873e-6i | ||||
\(335\) | −22411.8 | − | 12939.5i | −0.199704 | − | 0.115299i | ||||
\(336\) | 252445. | + | 189592.i | 2.23609 | + | 1.67935i | ||||
\(337\) | 55727.6 | − | 46761.0i | 0.490694 | − | 0.411741i | −0.363581 | − | 0.931563i | \(-0.618446\pi\) |
0.854275 | + | 0.519822i | \(0.174002\pi\) | |||||||
\(338\) | 13720.3 | + | 36169.9i | 0.120096 | + | 0.316603i | ||||
\(339\) | 151583. | − | 26728.2i | 1.31902 | − | 0.232579i | ||||
\(340\) | −1084.37 | − | 5307.87i | −0.00938034 | − | 0.0459158i | ||||
\(341\) | 128036. | 1.10109 | ||||||||
\(342\) | −160097. | + | 20068.6i | −1.36877 | + | 0.171580i | ||||
\(343\) | − | 274400.i | − | 2.33236i | ||||||
\(344\) | 181929. | + | 57992.9i | 1.53740 | + | 0.490070i | ||||
\(345\) | −1984.94 | − | 11257.2i | −0.0166767 | − | 0.0945782i | ||||
\(346\) | 33082.1 | + | 87212.3i | 0.276338 | + | 0.728493i | ||||
\(347\) | 53938.6 | + | 64281.5i | 0.447961 | + | 0.533860i | 0.942015 | − | 0.335572i | \(-0.108930\pi\) |
−0.494053 | + | 0.869432i | \(0.664485\pi\) | |||||||
\(348\) | −59645.3 | − | 151060.i | −0.492513 | − | 1.24736i | ||||
\(349\) | −11986.9 | + | 20762.0i | −0.0984142 | + | 0.170458i | −0.911028 | − | 0.412344i | \(-0.864710\pi\) |
0.812614 | + | 0.582802i | \(0.198044\pi\) | |||||||
\(350\) | −213963. | + | 2887.42i | −1.74664 | + | 0.0235708i | ||||
\(351\) | −28538.6 | − | 78409.1i | −0.231642 | − | 0.636432i | ||||
\(352\) | 130693. | + | 95422.6i | 1.05479 | + | 0.770134i | ||||
\(353\) | 34072.2 | + | 59014.8i | 0.273433 | + | 0.473600i | 0.969739 | − | 0.244146i | \(-0.0785075\pi\) |
−0.696306 | + | 0.717745i | \(0.745174\pi\) | |||||||
\(354\) | −179272. | + | 106754.i | −1.43056 | + | 0.851877i | ||||
\(355\) | 36171.7 | + | 6378.04i | 0.287020 | + | 0.0506093i | ||||
\(356\) | −232088. | − | 77446.9i | −1.83127 | − | 0.611088i | ||||
\(357\) | 67014.7 | + | 56232.0i | 0.525816 | + | 0.441212i | ||||
\(358\) | 159690. | + | 55693.9i | 1.24598 | + | 0.434552i | ||||
\(359\) | −36191.6 | + | 99435.6i | −0.280814 | + | 0.771530i | 0.716452 | + | 0.697636i | \(0.245765\pi\) |
−0.997266 | + | 0.0738940i | \(0.976457\pi\) | |||||||
\(360\) | −1381.48 | − | 34106.7i | −0.0106595 | − | 0.263169i | ||||
\(361\) | 38659.7 | − | 124455.i | 0.296650 | − | 0.954986i | ||||
\(362\) | 48291.1 | + | 27018.7i | 0.368510 | + | 0.206180i | ||||
\(363\) | 49059.5 | − | 134790.i | 0.372315 | − | 1.02293i | ||||
\(364\) | −184315. | − | 207992.i | −1.39110 | − | 1.56980i | ||||
\(365\) | −4730.33 | − | 3969.22i | −0.0355063 | − | 0.0297933i | ||||
\(366\) | −13504.4 | − | 70973.1i | −0.100812 | − | 0.529824i | ||||
\(367\) | −44424.4 | − | 7833.22i | −0.329829 | − | 0.0581578i | 0.00628142 | − | 0.999980i | \(-0.498001\pi\) |
−0.336111 | + | 0.941822i | \(0.609112\pi\) | |||||||
\(368\) | −36996.0 | + | 24110.6i | −0.273186 | + | 0.178038i | ||||
\(369\) | 8547.43 | + | 14804.6i | 0.0627744 | + | 0.108729i | ||||
\(370\) | 12546.8 | + | 2038.17i | 0.0916495 | + | 0.0148880i | ||||
\(371\) | 76564.2 | + | 210358.i | 0.556260 | + | 1.52831i | ||||
\(372\) | −85746.5 | + | 158230.i | −0.619627 | + | 1.14341i | ||||
\(373\) | 17814.3 | − | 30855.3i | 0.128042 | − | 0.221775i | −0.794876 | − | 0.606772i | \(-0.792464\pi\) |
0.922918 | + | 0.384997i | \(0.125798\pi\) | |||||||
\(374\) | 34734.9 | + | 28356.2i | 0.248327 | + | 0.202724i | ||||
\(375\) | 52274.1 | + | 62297.8i | 0.371727 | + | 0.443007i | ||||
\(376\) | 91521.3 | + | 70686.1i | 0.647361 | + | 0.499986i | ||||
\(377\) | 24825.1 | + | 140790.i | 0.174666 | + | 0.990580i | ||||
\(378\) | 99026.0 | + | 114831.i | 0.693052 | + | 0.803669i | ||||
\(379\) | − | 30202.2i | − | 0.210262i | −0.994458 | − | 0.105131i | \(-0.966474\pi\) | ||
0.994458 | − | 0.105131i | \(-0.0335261\pi\) | |||||||
\(380\) | 25547.9 | + | 10364.5i | 0.176924 | + | 0.0717766i | ||||
\(381\) | −236057. | −1.62617 | ||||||||
\(382\) | 106745. | − | 92052.7i | 0.731512 | − | 0.630826i | ||||
\(383\) | 176988. | − | 31207.8i | 1.20655 | − | 0.212748i | 0.466025 | − | 0.884772i | \(-0.345686\pi\) |
0.740530 | + | 0.672024i | \(0.234575\pi\) | |||||||
\(384\) | −205452. | + | 97608.8i | −1.39331 | + | 0.661952i | ||||
\(385\) | −51329.8 | + | 43070.8i | −0.346297 | + | 0.290577i | ||||
\(386\) | 107270. | − | 131400.i | 0.719953 | − | 0.881905i | ||||
\(387\) | 288715. | + | 166690.i | 1.92774 | + | 1.11298i | ||||
\(388\) | −18906.4 | + | 34888.5i | −0.125587 | + | 0.231750i | ||||
\(389\) | −160949. | + | 58580.7i | −1.06363 | + | 0.387128i | −0.813790 | − | 0.581159i | \(-0.802599\pi\) |
−0.249837 | + | 0.968288i | \(0.580377\pi\) | |||||||
\(390\) | −8310.44 | + | 51158.3i | −0.0546380 | + | 0.336347i | ||||
\(391\) | −10596.8 | + | 6118.09i | −0.0693143 | + | 0.0400186i | ||||
\(392\) | 311148. | + | 163221.i | 2.02486 | + | 1.06220i | ||||
\(393\) | 8782.14 | − | 49806.0i | 0.0568611 | − | 0.322475i | ||||
\(394\) | 186321. | − | 35452.2i | 1.20025 | − | 0.228376i | ||||
\(395\) | 35678.5 | − | 42519.9i | 0.228671 | − | 0.272520i | ||||
\(396\) | 187378. | + | 211448.i | 1.19489 | + | 1.34838i | ||||
\(397\) | −63147.6 | − | 22983.8i | −0.400660 | − | 0.145828i | 0.133828 | − | 0.991005i | \(-0.457273\pi\) |
−0.534487 | + | 0.845176i | \(0.679495\pi\) | |||||||
\(398\) | −24773.8 | + | 44278.8i | −0.156396 | + | 0.279531i | ||||
\(399\) | −427151. | + | 125489.i | −2.68309 | + | 0.788240i | ||||
\(400\) | 69768.3 | − | 137477.i | 0.436052 | − | 0.859232i | ||||
\(401\) | 85495.1 | + | 31117.7i | 0.531683 | + | 0.193517i | 0.593890 | − | 0.804547i | \(-0.297592\pi\) |
−0.0622067 | + | 0.998063i | \(0.519814\pi\) | |||||||
\(402\) | −99147.3 | + | 284283.i | −0.613520 | + | 1.75913i | ||||
\(403\) | 101831. | − | 121357.i | 0.627001 | − | 0.747231i | ||||
\(404\) | 17939.4 | + | 5986.32i | 0.109912 | + | 0.0366773i | ||||
\(405\) | −2591.31 | + | 14696.0i | −0.0157983 | + | 0.0895964i | ||||
\(406\) | −132922. | − | 223217.i | −0.806390 | − | 1.35417i | ||||
\(407\) | −91113.5 | + | 52604.4i | −0.550039 | + | 0.317565i | ||||
\(408\) | −58305.5 | + | 23936.0i | −0.350259 | + | 0.143791i | ||||
\(409\) | 24830.4 | − | 9037.52i | 0.148435 | − | 0.0540260i | −0.266734 | − | 0.963770i | \(-0.585945\pi\) |
0.415169 | + | 0.909744i | \(0.363722\pi\) | |||||||
\(410\) | −39.4156 | − | 2920.77i | −0.000234477 | − | 0.0173752i | ||||
\(411\) | −220967. | − | 127576.i | −1.30811 | − | 0.755238i | ||||
\(412\) | −37984.0 | − | 96199.9i | −0.223772 | − | 0.566735i | ||||
\(413\) | −255679. | + | 214540.i | −1.49897 | + | 1.25779i | ||||
\(414\) | −72086.0 | + | 27344.2i | −0.420581 | + | 0.159538i | ||||
\(415\) | −6993.94 | + | 1233.22i | −0.0406093 | + | 0.00716052i | ||||
\(416\) | 194389. | − | 47983.2i | 1.12327 | − | 0.277270i | ||||
\(417\) | 323245. | 1.85891 | ||||||||
\(418\) | −218053. | + | 67269.0i | −1.24799 | + | 0.385002i | ||||
\(419\) | 20145.4i | 0.114749i | 0.998353 | + | 0.0573744i | \(0.0182729\pi\) | ||||
−0.998353 | + | 0.0573744i | \(0.981727\pi\) | |||||||
\(420\) | −18852.2 | − | 92279.4i | −0.106872 | − | 0.523126i | ||||
\(421\) | −42560.5 | − | 241373.i | −0.240128 | − | 1.36183i | −0.831541 | − | 0.555464i | \(-0.812541\pi\) |
0.591413 | − | 0.806369i | \(-0.298570\pi\) | |||||||
\(422\) | −76554.5 | + | 29039.3i | −0.429879 | + | 0.163065i | ||||
\(423\) | 129777. | + | 154663.i | 0.725301 | + | 0.864380i | ||||
\(424\) | −159836. | − | 21555.3i | −0.889083 | − | 0.119901i | ||||
\(425\) | 21359.4 | − | 36995.5i | 0.118252 | − | 0.204819i | ||||
\(426\) | −5766.07 | − | 427276.i | −0.0317732 | − | 2.35445i | ||||
\(427\) | −39526.7 | − | 108599.i | −0.216788 | − | 0.595619i | ||||
\(428\) | 80740.5 | − | 101673.i | 0.440762 | − | 0.555034i | ||||
\(429\) | −214489. | − | 371506.i | −1.16544 | − | 2.01860i | ||||
\(430\) | −29145.7 | − | 48944.6i | −0.157630 | − | 0.264708i | ||||
\(431\) | 205916. | + | 36308.6i | 1.10850 | + | 0.195459i | 0.697787 | − | 0.716305i | \(-0.254168\pi\) |
0.410714 | + | 0.911764i | \(0.365279\pi\) | |||||||
\(432\) | −106406. | + | 24747.1i | −0.570164 | + | 0.132604i | ||||
\(433\) | 17929.7 | + | 15044.8i | 0.0956305 | + | 0.0802435i | 0.689349 | − | 0.724429i | \(-0.257896\pi\) |
−0.593719 | + | 0.804672i | \(0.702341\pi\) | |||||||
\(434\) | −94803.9 | + | 271830.i | −0.503323 | + | 1.44317i | ||||
\(435\) | −16571.3 | + | 45529.2i | −0.0875744 | + | 0.240609i | ||||
\(436\) | 110337. | + | 179728.i | 0.580430 | + | 0.945459i | ||||
\(437\) | 3940.68 | − | 62146.4i | 0.0206352 | − | 0.325427i | ||||
\(438\) | −35077.3 | + | 62694.5i | −0.182843 | + | 0.326799i | ||||
\(439\) | 28096.6 | − | 77194.7i | 0.145789 | − | 0.400551i | −0.845208 | − | 0.534438i | \(-0.820523\pi\) |
0.990997 | + | 0.133886i | \(0.0427457\pi\) | |||||||
\(440\) | −10300.2 | − | 47164.2i | −0.0532037 | − | 0.243617i | ||||
\(441\) | 469926. | + | 394315.i | 2.41631 | + | 2.02752i | ||||
\(442\) | 54502.6 | − | 10370.5i | 0.278980 | − | 0.0530828i | ||||
\(443\) | −376011. | − | 66300.8i | −1.91599 | − | 0.337840i | −0.917749 | − | 0.397161i | \(-0.869996\pi\) |
−0.998239 | + | 0.0593202i | \(0.981107\pi\) | |||||||
\(444\) | −3990.64 | − | 147830.i | −0.0202431 | − | 0.749887i | ||||
\(445\) | 36495.7 | + | 63212.4i | 0.184298 | + | 0.319214i | ||||
\(446\) | 36885.9 | − | 227067.i | 0.185435 | − | 1.14152i | ||||
\(447\) | −60842.4 | − | 167163.i | −0.304503 | − | 0.836614i | ||||
\(448\) | −299360. | + | 206815.i | −1.49155 | + | 1.03045i | ||||
\(449\) | −153913. | + | 266586.i | −0.763455 | + | 1.32234i | 0.177605 | + | 0.984102i | \(0.443165\pi\) |
−0.941060 | + | 0.338241i | \(0.890168\pi\) | |||||||
\(450\) | 170216. | − | 208506.i | 0.840575 | − | 1.02966i | ||||
\(451\) | 15540.6 | + | 18520.5i | 0.0764035 | + | 0.0910542i | ||||
\(452\) | −26078.4 | + | 175465.i | −0.127645 | + | 0.858842i | ||||
\(453\) | −34430.8 | − | 195267.i | −0.167784 | − | 0.951550i | ||||
\(454\) | −190087. | + | 163924.i | −0.922235 | + | 0.795298i | ||||
\(455\) | 82907.6i | 0.400471i | ||||||||
\(456\) | 62898.6 | − | 314526.i | 0.302490 | − | 1.51261i | ||||
\(457\) | −176153. | −0.843448 | −0.421724 | − | 0.906724i | \(-0.638575\pi\) | ||||
−0.421724 | + | 0.906724i | \(0.638575\pi\) | |||||||
\(458\) | −43163.7 | − | 50053.1i | −0.205773 | − | 0.238616i | ||||
\(459\) | −29811.5 | + | 5256.56i | −0.141500 | + | 0.0249503i | ||||
\(460\) | 13030.7 | + | 1936.69i | 0.0615820 | + | 0.00915260i | ||||
\(461\) | 148293. | − | 124433.i | 0.697783 | − | 0.585509i | −0.223359 | − | 0.974736i | \(-0.571702\pi\) |
0.921142 | + | 0.389227i | \(0.127258\pi\) | |||||||
\(462\) | 603880. | + | 492984.i | 2.82922 | + | 2.30966i | ||||
\(463\) | 312453. | + | 180395.i | 1.45755 | + | 0.841516i | 0.998890 | − | 0.0470976i | \(-0.0149972\pi\) |
0.458657 | + | 0.888613i | \(0.348331\pi\) | |||||||
\(464\) | 186902. | − | 10098.1i | 0.868115 | − | 0.0469034i | ||||
\(465\) | 50452.2 | − | 18363.1i | 0.233332 | − | 0.0849258i | ||||
\(466\) | −178391. | − | 28978.9i | −0.821489 | − | 0.133447i | ||||
\(467\) | −70567.7 | + | 40742.3i | −0.323573 | + | 0.186815i | −0.652984 | − | 0.757372i | \(-0.726483\pi\) |
0.329411 | + | 0.944187i | \(0.393150\pi\) | |||||||
\(468\) | 349445. | − | 9433.21i | 1.59547 | − | 0.0430693i | ||||
\(469\) | −83631.4 | + | 474297.i | −0.380210 | + | 2.15628i | ||||
\(470\) | −6448.53 | − | 33890.6i | −0.0291921 | − | 0.153421i | ||||
\(471\) | 125233. | − | 149247.i | 0.564517 | − | 0.672765i | ||||
\(472\) | −51306.5 | − | 234929.i | −0.230297 | − | 1.05452i | ||||
\(473\) | 443056. | + | 161259.i | 1.98032 | + | 0.720779i | ||||
\(474\) | −563548. | − | 315303.i | −2.50827 | − | 1.40337i | ||||
\(475\) | 96567.7 | + | 194775.i | 0.428001 | + | 0.863270i | ||||
\(476\) | −85921.6 | + | 52748.4i | −0.379218 | + | 0.232807i | ||||
\(477\) | −264604. | − | 96308.0i | −1.16295 | − | 0.423278i | ||||
\(478\) | 276295. | + | 96361.2i | 1.20925 | + | 0.421742i | ||||
\(479\) | −179755. | + | 214224.i | −0.783450 | + | 0.933679i | −0.999084 | − | 0.0427953i | \(-0.986374\pi\) |
0.215634 | + | 0.976474i | \(0.430818\pi\) | |||||||
\(480\) | 65184.8 | + | 18856.8i | 0.282920 | + | 0.0818437i | ||||
\(481\) | −22604.8 | + | 128198.i | −0.0977036 | + | 0.554105i | ||||
\(482\) | 314855. | − | 187491.i | 1.35524 | − | 0.807025i | ||||
\(483\) | −184230. | + | 106365.i | −0.789709 | + | 0.455938i | ||||
\(484\) | 129459. | + | 102805.i | 0.552637 | + | 0.438859i | ||||
\(485\) | 11124.3 | − | 4048.91i | 0.0472922 | − | 0.0172129i | ||||
\(486\) | 311848. | − | 4208.38i | 1.32029 | − | 0.0178173i | ||||
\(487\) | 107373. | + | 61992.0i | 0.452729 | + | 0.261383i | 0.708982 | − | 0.705226i | \(-0.249155\pi\) |
−0.256253 | + | 0.966610i | \(0.582488\pi\) | |||||||
\(488\) | 82516.1 | + | 11128.1i | 0.346497 | + | 0.0467283i | ||||
\(489\) | 165187. | − | 138608.i | 0.690808 | − | 0.579657i | ||||
\(490\) | −37176.6 | − | 98006.3i | −0.154838 | − | 0.408190i | ||||
\(491\) | −86033.3 | + | 15170.0i | −0.356865 | + | 0.0629249i | −0.349206 | − | 0.937046i | \(-0.613549\pi\) |
−0.00765821 | + | 0.999971i | \(0.502438\pi\) | |||||||
\(492\) | −33295.7 | + | 6802.12i | −0.137549 | + | 0.0281005i | ||||
\(493\) | 51864.7 | 0.213392 | ||||||||
\(494\) | −109664. | + | 260179.i | −0.449375 | + | 1.06615i | ||||
\(495\) | − | 84285.4i | − | 0.343987i | ||||||
\(496\) | −141700. | − | 151463.i | −0.575981 | − | 0.615665i | ||||
\(497\) | −118697. | − | 673164.i | −0.480537 | − | 2.72526i | ||||
\(498\) | 29303.8 | + | 77251.9i | 0.118159 | + | 0.311494i | ||||
\(499\) | −236595. | − | 281963.i | −0.950178 | − | 1.13238i | −0.991087 | − | 0.133215i | \(-0.957470\pi\) |
0.0409091 | − | 0.999163i | \(-0.486975\pi\) | |||||||
\(500\) | −87175.4 | + | 34420.7i | −0.348702 | + | 0.137683i | ||||
\(501\) | −17.6283 | + | 30.5332i | −7.02321e−5 | + | 0.000121646i | ||||
\(502\) | −102688. | + | 1385.77i | −0.407485 | + | 0.00549899i | ||||
\(503\) | −118577. | − | 325786.i | −0.468665 | − | 1.28765i | −0.918813 | − | 0.394693i | \(-0.870851\pi\) |
0.450147 | − | 0.892954i | \(-0.351371\pi\) | |||||||
\(504\) | −587663. | + | 241252.i | −2.31349 | + | 0.949749i | ||||
\(505\) | −2820.97 | − | 4886.06i | −0.0110615 | − | 0.0191591i | ||||
\(506\) | −93685.1 | + | 55788.0i | −0.365906 | + | 0.217891i | ||||
\(507\) | −132226. | − | 23314.9i | −0.514399 | − | 0.0907023i | ||||
\(508\) | 86114.9 | − | 258063.i | 0.333696 | − | 0.999998i | ||||
\(509\) | 21418.7 | + | 17972.5i | 0.0826720 | + | 0.0693700i | 0.683187 | − | 0.730243i | \(-0.260593\pi\) |
−0.600515 | + | 0.799613i | \(0.705038\pi\) | |||||||
\(510\) | 17754.1 | + | 6191.94i | 0.0682586 | + | 0.0238060i | ||||
\(511\) | −39304.4 | + | 107988.i | −0.150522 | + | 0.413556i | ||||
\(512\) | −31758.5 | − | 260213.i | −0.121149 | − | 0.992634i | ||||
\(513\) | 61745.0 | − | 141139.i | 0.234621 | − | 0.536306i | ||||
\(514\) | −224202. | − | 125440.i | −0.848619 | − | 0.474799i | ||||
\(515\) | −10553.1 | + | 28994.4i | −0.0397893 | + | 0.109320i | ||||
\(516\) | −496005. | + | 439544.i | −1.86289 | + | 1.65083i | ||||
\(517\) | 218735. | + | 183541.i | 0.818348 | + | 0.686675i | ||||
\(518\) | −44218.1 | − | 232391.i | −0.164794 | − | 0.866084i | ||||
\(519\) | −318820. | − | 56216.6i | −1.18362 | − | 0.208703i | ||||
\(520\) | −52895.9 | − | 27748.0i | −0.195621 | − | 0.102618i | ||||
\(521\) | 99974.9 | + | 173162.i | 0.368312 | + | 0.637935i | 0.989302 | − | 0.145884i | \(-0.0466026\pi\) |
−0.620990 | + | 0.783819i | \(0.713269\pi\) | |||||||
\(522\) | 322562. | + | 52398.7i | 1.18378 | + | 0.192300i | ||||
\(523\) | 62786.5 | + | 172504.i | 0.229542 | + | 0.630662i | 0.999976 | − | 0.00685720i | \(-0.00218273\pi\) |
−0.770434 | + | 0.637520i | \(0.779961\pi\) | |||||||
\(524\) | 51245.4 | + | 27770.4i | 0.186635 | + | 0.101139i | ||||
\(525\) | 371341. | − | 643181.i | 1.34727 | − | 2.33354i | ||||
\(526\) | 223303. | + | 182296.i | 0.807093 | + | 0.658879i | ||||
\(527\) | −36942.8 | − | 44026.7i | −0.133017 | − | 0.158524i | ||||
\(528\) | −516639. | + | 220287.i | −1.85319 | + | 0.790170i | ||||
\(529\) | 43427.0 | + | 246287.i | 0.155184 | + | 0.880095i | ||||
\(530\) | 31422.3 | + | 36437.6i | 0.111863 | + | 0.129717i | ||||
\(531\) | − | 419833.i | − | 1.48898i | ||||||
\(532\) | 18639.8 | − | 512751.i | 0.0658595 | − | 1.81169i | ||||
\(533\) | 29914.2 | 0.105299 | ||||||||
\(534\) | 643089. | − | 554574.i | 2.25522 | − | 1.94481i | ||||
\(535\) | −38144.2 | + | 6725.85i | −0.133266 | + | 0.0234985i | ||||
\(536\) | −274616. | − | 212098.i | −0.955865 | − | 0.738258i | ||||
\(537\) | −449658. | + | 377308.i | −1.55931 | + | 1.30842i | ||||
\(538\) | 158714. | − | 194416.i | 0.548340 | − | 0.671689i | ||||
\(539\) | 751345. | + | 433789.i | 2.58620 | + | 1.49314i | ||||
\(540\) | 28654.2 | + | 15528.0i | 0.0982655 | + | 0.0532510i | ||||
\(541\) | −395206. | + | 143843.i | −1.35030 | + | 0.491467i | −0.913040 | − | 0.407870i | \(-0.866272\pi\) |
−0.437255 | + | 0.899337i | \(0.644049\pi\) | |||||||
\(542\) | 9686.45 | − | 59628.9i | 0.0329736 | − | 0.202982i | ||||
\(543\) | −166326. | + | 96028.3i | −0.564106 | + | 0.325686i | ||||
\(544\) | −4897.24 | − | 72473.0i | −0.0165483 | − | 0.244894i | ||||
\(545\) | 10925.2 | − | 61959.8i | 0.0367820 | − | 0.208601i | ||||
\(546\) | 947550. | − | 180295.i | 3.17846 | − | 0.604781i | ||||
\(547\) | −96246.1 | + | 114702.i | −0.321668 | + | 0.383350i | −0.902511 | − | 0.430666i | \(-0.858279\pi\) |
0.580843 | + | 0.814016i | \(0.302723\pi\) | |||||||
\(548\) | 220079. | − | 195027.i | 0.732854 | − | 0.649432i | ||||
\(549\) | 136603. | + | 49719.5i | 0.453227 | + | 0.164961i | ||||
\(550\) | 185869. | − | 332208.i | 0.614443 | − | 1.09821i | ||||
\(551\) | −146173. | + | 219773.i | −0.481465 | + | 0.723889i | ||||
\(552\) | −6202.86 | − | 153140.i | −0.0203570 | − | 0.502586i | ||||
\(553\) | −970682. | − | 353299.i | −3.17414 | − | 1.15529i | ||||
\(554\) | 52273.7 | − | 149884.i | 0.170319 | − | 0.488354i | ||||
\(555\) | −28358.4 | + | 33796.2i | −0.0920651 | + | 0.109719i | ||||
\(556\) | −117922. | + | 353379.i | −0.381455 | + | 1.14312i | ||||
\(557\) | −59145.0 | + | 335428.i | −0.190637 | + | 1.08116i | 0.727859 | + | 0.685727i | \(0.240515\pi\) |
−0.918496 | + | 0.395430i | \(0.870596\pi\) | |||||||
\(558\) | −185278. | − | 311138.i | −0.595053 | − | 0.999274i | ||||
\(559\) | 505222. | − | 291690.i | 1.61681 | − | 0.933465i | ||||
\(560\) | 107760. | + | 13054.4i | 0.343621 | + | 0.0416276i | ||||
\(561\) | −146242. | + | 53227.7i | −0.464671 | + | 0.169127i | ||||
\(562\) | 2290.05 | + | 169697.i | 0.00725058 | + | 0.537281i | ||||
\(563\) | −362243. | − | 209141.i | −1.14283 | − | 0.659815i | −0.195703 | − | 0.980663i | \(-0.562699\pi\) |
−0.947131 | + | 0.320848i | \(0.896032\pi\) | |||||||
\(564\) | −373313. | + | 147400.i | −1.17358 | + | 0.463384i | ||||
\(565\) | 40539.8 | − | 34017.0i | 0.126995 | − | 0.106561i | ||||
\(566\) | −564975. | + | 214311.i | −1.76359 | + | 0.668978i | ||||
\(567\) | 273497. | − | 48225.0i | 0.850721 | − | 0.150005i | ||||
\(568\) | 469212. | + | 149569.i | 1.45436 | + | 0.463602i | ||||
\(569\) | 79014.3 | 0.244051 | 0.122026 | − | 0.992527i | \(-0.461061\pi\) | ||||
0.122026 | + | 0.992527i | \(0.461061\pi\) | |||||||
\(570\) | −76275.2 | + | 57780.6i | −0.234765 | + | 0.177841i | ||||
\(571\) | 115354.i | 0.353803i | 0.984229 | + | 0.176902i | \(0.0566074\pi\) | ||||
−0.984229 | + | 0.176902i | \(0.943393\pi\) | |||||||
\(572\) | 484386. | − | 98957.3i | 1.48047 | − | 0.302452i | ||||
\(573\) | 84952.1 | + | 481787.i | 0.258741 | + | 1.46739i | ||||
\(574\) | −50827.3 | + | 19280.2i | −0.154267 | + | 0.0585179i | ||||
\(575\) | 66772.9 | + | 79576.8i | 0.201960 | + | 0.240686i | ||||
\(576\) | 42761.8 | − | 455679.i | 0.128888 | − | 1.37345i | ||||
\(577\) | −248819. | + | 430968.i | −0.747364 | + | 1.29447i | 0.201718 | + | 0.979444i | \(0.435348\pi\) |
−0.949082 | + | 0.315029i | \(0.897986\pi\) | |||||||
\(578\) | 4236.44 | + | 313928.i | 0.0126808 | + | 0.939667i | ||||
\(579\) | 201358. | + | 553225.i | 0.600635 | + | 1.65023i | ||||
\(580\) | −43728.4 | − | 34725.4i | −0.129989 | − | 0.103227i | ||||
\(581\) | 66083.5 | + | 114460.i | 0.195768 | + | 0.339079i | ||||
\(582\) | −70466.4 | − | 118335.i | −0.208035 | − | 0.349354i | ||||
\(583\) | −392189. | − | 69153.5i | −1.15387 | − | 0.203459i | ||||
\(584\) | −55742.8 | − | 61218.8i | −0.163442 | − | 0.179498i | ||||
\(585\) | −79888.6 | − | 67034.5i | −0.233439 | − | 0.195878i | ||||
\(586\) | 206651. | − | 592527.i | 0.601787 | − | 1.72549i | ||||
\(587\) | −3398.54 | + | 9337.41i | −0.00986316 | + | 0.0270988i | −0.944527 | − | 0.328435i | \(-0.893479\pi\) |
0.934663 | + | 0.355534i | \(0.115701\pi\) | |||||||
\(588\) | −1.03927e6 | + | 638020.i | −3.00589 | + | 1.84535i | ||||
\(589\) | 290678. | − | 32459.7i | 0.837880 | − | 0.0935651i | ||||
\(590\) | −35027.3 | + | 62605.1i | −0.100624 | + | 0.179848i | ||||
\(591\) | −225144. | + | 618579.i | −0.644594 | + | 1.77101i | ||||
\(592\) | 163067. | + | 49566.5i | 0.465289 | + | 0.141431i | ||||
\(593\) | −115604. | − | 97003.5i | −0.328749 | − | 0.275853i | 0.463441 | − | 0.886128i | \(-0.346615\pi\) |
−0.792190 | + | 0.610275i | \(0.791059\pi\) | |||||||
\(594\) | −264996. | + | 50422.0i | −0.751046 | + | 0.142905i | ||||
\(595\) | 29620.8 | + | 5222.95i | 0.0836687 | + | 0.0147530i | ||||
\(596\) | 204943. | − | 5532.39i | 0.576952 | − | 0.0155747i | ||||
\(597\) | −88049.8 | − | 152507.i | −0.247047 | − | 0.427898i | ||||
\(598\) | −21632.5 | + | 133168.i | −0.0604929 | + | 0.372389i | ||||
\(599\) | −14165.8 | − | 38920.3i | −0.0394810 | − | 0.108473i | 0.918386 | − | 0.395687i | \(-0.129493\pi\) |
−0.957867 | + | 0.287213i | \(0.907271\pi\) | |||||||
\(600\) | 286074. | + | 452183.i | 0.794649 | + | 1.25606i | ||||
\(601\) | 150495. | − | 260665.i | 0.416651 | − | 0.721661i | −0.578949 | − | 0.815364i | \(-0.696537\pi\) |
0.995600 | + | 0.0937028i | \(0.0298704\pi\) | |||||||
\(602\) | −670424. | + | 821235.i | −1.84994 | + | 2.26608i | ||||
\(603\) | −389406. | − | 464076.i | −1.07095 | − | 1.27631i | ||||
\(604\) | 226031. | + | 33593.8i | 0.619576 | + | 0.0920842i | ||||
\(605\) | −8563.90 | − | 48568.3i | −0.0233970 | − | 0.132691i | ||||
\(606\) | −49708.1 | + | 42866.3i | −0.135357 | + | 0.116727i | ||||
\(607\) | 545441.i | 1.48037i | 0.672403 | + | 0.740185i | \(0.265262\pi\) | ||||
−0.672403 | + | 0.740185i | \(0.734738\pi\) | |||||||
\(608\) | 320902. | + | 183503.i | 0.868091 | + | 0.496405i | ||||
\(609\) | 901689. | 2.43121 | ||||||||
\(610\) | −16221.9 | − | 18811.1i | −0.0435957 | − | 0.0505539i | ||||
\(611\) | 347933. | − | 61349.9i | 0.931993 | − | 0.164336i | ||||
\(612\) | 18643.8 | − | 125442.i | 0.0497774 | − | 0.334920i | ||||
\(613\) | 31517.7 | − | 26446.5i | 0.0838751 | − | 0.0703795i | −0.599886 | − | 0.800085i | \(-0.704787\pi\) |
0.683761 | + | 0.729706i | \(0.260343\pi\) | |||||||
\(614\) | 201446. | + | 164453.i | 0.534346 | + | 0.436219i | ||||
\(615\) | 8779.94 | + | 5069.10i | 0.0232135 | + | 0.0134023i | ||||
\(616\) | −759242. | + | 480334.i | −2.00087 | + | 1.26585i | ||||
\(617\) | 30420.1 | − | 11072.0i | 0.0799081 | − | 0.0290842i | −0.301757 | − | 0.953385i | \(-0.597573\pi\) |
0.381665 | + | 0.924301i | \(0.375351\pi\) | |||||||
\(618\) | 354326. | + | 57558.7i | 0.927741 | + | 0.150707i | ||||
\(619\) | 55265.1 | − | 31907.3i | 0.144235 | − | 0.0832739i | −0.426146 | − | 0.904654i | \(-0.640129\pi\) |
0.570381 | + | 0.821381i | \(0.306796\pi\) | |||||||
\(620\) | 1669.75 | + | 61854.5i | 0.00434379 | + | 0.160912i | ||||
\(621\) | 12782.5 | − | 72493.3i | 0.0331462 | − | 0.187981i | ||||
\(622\) | 113419. | + | 596081.i | 0.293161 | + | 1.54072i | ||||
\(623\) | 873156. | − | 1.04059e6i | 2.24965 | − | 2.68103i | ||||
\(624\) | −202102. | + | 664889.i | −0.519041 | + | 1.70758i | ||||
\(625\) | −327412. | − | 119168.i | −0.838174 | − | 0.305070i | ||||
\(626\) | 312732. | + | 174972.i | 0.798037 | + | 0.446499i | ||||
\(627\) | 186613. | − | 769705.i | 0.474686 | − | 1.95789i | ||||
\(628\) | 117475. | + | 191354.i | 0.297869 | + | 0.485197i | ||||
\(629\) | 44378.0 | + | 16152.3i | 0.112167 | + | 0.0408255i | ||||
\(630\) | 178944. | + | 62408.8i | 0.450853 | + | 0.157241i | ||||
\(631\) | 103973. | − | 123911.i | 0.261134 | − | 0.311207i | −0.619508 | − | 0.784991i | \(-0.712668\pi\) |
0.880641 | + | 0.473784i | \(0.157112\pi\) | |||||||
\(632\) | 550283. | − | 501061.i | 1.37769 | − | 1.25446i | ||||
\(633\) | 49346.6 | − | 279858.i | 0.123154 | − | 0.698443i | ||||
\(634\) | −476527. | + | 283765.i | −1.18552 | + | 0.705959i | ||||
\(635\) | −70287.3 | + | 40580.4i | −0.174313 | + | 0.100640i | ||||
\(636\) | 348113. | − | 438365.i | 0.860609 | − | 1.08373i | ||||
\(637\) | 1.00873e6 | − | 367146.i | 2.48596 | − | 0.904816i | ||||
\(638\) | 462129. | − | 6236.41i | 1.13533 | − | 0.0153212i | ||||
\(639\) | 744624. | + | 429909.i | 1.82362 | + | 1.05287i | ||||
\(640\) | −44394.5 | + | 64382.6i | −0.108385 | + | 0.157184i | ||||
\(641\) | −382287. | + | 320776.i | −0.930407 | + | 0.780704i | −0.975890 | − | 0.218261i | \(-0.929962\pi\) |
0.0454835 | + | 0.998965i | \(0.485517\pi\) | |||||||
\(642\) | 159820. | + | 421323.i | 0.387758 | + | 1.02222i | ||||
\(643\) | −782765. | + | 138023.i | −1.89326 | + | 0.333832i | −0.994510 | − | 0.104637i | \(-0.966632\pi\) |
−0.898746 | + | 0.438469i | \(0.855521\pi\) | |||||||
\(644\) | −49073.1 | − | 240208.i | −0.118324 | − | 0.579183i | ||||
\(645\) | 197713. | 0.475242 | ||||||||
\(646\) | 86047.0 | + | 55570.7i | 0.206191 | + | 0.133162i | ||||
\(647\) | 125497.i | 0.299795i | 0.988702 | + | 0.149898i | \(0.0478944\pi\) | ||||
−0.988702 | + | 0.149898i | \(0.952106\pi\) | |||||||
\(648\) | −60767.8 | + | 190634.i | −0.144718 | + | 0.453995i | ||||
\(649\) | −103105. | − | 584738.i | −0.244789 | − | 1.38826i | ||||
\(650\) | −167051. | − | 440387.i | −0.395388 | − | 1.04234i | ||||
\(651\) | −642265. | − | 765421.i | −1.51549 | − | 1.80609i | ||||
\(652\) | 91268.8 | + | 231151.i | 0.214698 | + | 0.543752i | ||||
\(653\) | 105347. | − | 182467.i | 0.247057 | − | 0.427916i | −0.715651 | − | 0.698458i | \(-0.753870\pi\) |
0.962708 | + | 0.270543i | \(0.0872031\pi\) | |||||||
\(654\) | −731897. | + | 9876.91i | −1.71117 | + | 0.0230922i | ||||
\(655\) | −5947.18 | − | 16339.7i | −0.0138621 | − | 0.0380858i | ||||
\(656\) | 4710.21 | − | 38881.2i | 0.0109454 | − | 0.0903507i | ||||
\(657\) | −72276.4 | − | 125186.i | −0.167442 | − | 0.290019i | ||||
\(658\) | −551632. | + | 328488.i | −1.27408 | + | 0.758697i | ||||
\(659\) | 60349.8 | + | 10641.3i | 0.138965 | + | 0.0245033i | 0.242698 | − | 0.970102i | \(-0.421968\pi\) |
−0.103733 | + | 0.994605i | \(0.533079\pi\) | |||||||
\(660\) | 158938. | + | 53037.1i | 0.364871 | + | 0.121756i | ||||
\(661\) | 527627. | + | 442732.i | 1.20760 | + | 1.01330i | 0.999380 | + | 0.0352177i | \(0.0112125\pi\) |
0.208223 | + | 0.978081i | \(0.433232\pi\) | |||||||
\(662\) | −455568. | − | 158885.i | −1.03953 | − | 0.362549i | ||||
\(663\) | −65859.2 | + | 180947.i | −0.149827 | + | 0.411645i | ||||
\(664\) | −95143.9 | + | 3853.76i | −0.215797 | + | 0.00874075i | ||||
\(665\) | −105614. | + | 110796.i | −0.238824 | + | 0.250542i | ||||
\(666\) | 259681. | + | 145291.i | 0.585453 | + | 0.327558i | ||||
\(667\) | −43135.8 | + | 118515.i | −0.0969587 | + | 0.266392i | ||||
\(668\) | −26.9487 | − | 30.4104i | −6.03928e−5 | − | 6.81505e-5i | ||||
\(669\) | 611628. | + | 513217.i | 1.36658 | + | 1.14670i | ||||
\(670\) | 19349.3 | + | 101691.i | 0.0431038 | + | 0.226534i | ||||
\(671\) | 202470. | + | 35700.9i | 0.449692 | + | 0.0792928i | ||||
\(672\) | −85140.4 | − | 1.25997e6i | −0.188537 | − | 2.79012i | ||||
\(673\) | −32039.1 | − | 55493.3i | −0.0707375 | − | 0.122521i | 0.828487 | − | 0.560008i | \(-0.189202\pi\) |
−0.899225 | + | 0.437487i | \(0.855869\pi\) | |||||||
\(674\) | −287224. | − | 46658.2i | −0.632267 | − | 0.102709i | ||||
\(675\) | 87896.2 | + | 241493.i | 0.192913 | + | 0.530025i | ||||
\(676\) | 73725.2 | − | 136047.i | 0.161333 | − | 0.297711i | ||||
\(677\) | 123678. | − | 214217.i | 0.269846 | − | 0.467386i | −0.698976 | − | 0.715145i | \(-0.746361\pi\) |
0.968822 | + | 0.247759i | \(0.0796940\pi\) | |||||||
\(678\) | −476940. | − | 389355.i | −1.03754 | − | 0.847005i | ||||
\(679\) | −141614. | − | 168769.i | −0.307162 | − | 0.366061i | ||||
\(680\) | −13246.0 | + | 17150.3i | −0.0286461 | + | 0.0370898i | ||||
\(681\) | −151279. | − | 857947.i | −0.326201 | − | 1.84998i | ||||
\(682\) | −334464. | − | 387847.i | −0.719086 | − | 0.833858i | ||||
\(683\) | − | 530571.i | − | 1.13737i | −0.822555 | − | 0.568685i | \(-0.807452\pi\) | ||
0.822555 | − | 0.568685i | \(-0.192548\pi\) | |||||||
\(684\) | 479009. | + | 432543.i | 1.02384 | + | 0.924522i | ||||
\(685\) | −87725.7 | −0.186959 | ||||||||
\(686\) | −831215. | + | 716806.i | −1.76630 | + | 1.52319i | ||||
\(687\) | 225911. | − | 39834.2i | 0.478657 | − | 0.0844001i | ||||
\(688\) | −299575. | − | 702594.i | −0.632890 | − | 1.48432i | ||||
\(689\) | −377465. | + | 316731.i | −0.795130 | + | 0.667193i | ||||
\(690\) | −28915.1 | + | 35419.5i | −0.0607332 | + | 0.0743951i | ||||
\(691\) | −106722. | − | 61616.0i | −0.223511 | − | 0.129044i | 0.384064 | − | 0.923306i | \(-0.374524\pi\) |
−0.607575 | + | 0.794263i | \(0.707857\pi\) | |||||||
\(692\) | 177765. | − | 328034.i | 0.371222 | − | 0.685025i | ||||
\(693\) | −1.47398e6 | + | 536484.i | −3.06919 | + | 1.11709i | ||||
\(694\) | 53820.0 | − | 331311.i | 0.111744 | − | 0.687887i | ||||
\(695\) | 96248.0 | − | 55568.8i | 0.199261 | − | 0.115043i | ||||
\(696\) | −301783. | + | 575287.i | −0.622983 | + | 1.18759i | ||||
\(697\) | 1884.51 | − | 10687.6i | 0.00387912 | − | 0.0219996i | ||||
\(698\) | 94205.4 | − | 17924.9i | 0.193359 | − | 0.0367914i | ||||
\(699\) | 403201. | − | 480516.i | 0.825215 | − | 0.983452i | ||||
\(700\) | 567675. | + | 640595.i | 1.15852 | + | 1.30734i | ||||
\(701\) | −892572. | − | 324870.i | −1.81638 | − | 0.661109i | −0.996006 | − | 0.0892833i | \(-0.971542\pi\) |
−0.820375 | − | 0.571826i | \(-0.806235\pi\) | |||||||
\(702\) | −162967. | + | 291274.i | −0.330693 | + | 0.591055i | ||||
\(703\) | −193517. | + | 142526.i | −0.391569 | + | 0.288392i | ||||
\(704\) | −52350.1 | − | 645165.i | −0.105626 | − | 1.30174i | ||||
\(705\) | 112516. | + | 40952.3i | 0.226378 | + | 0.0823949i | ||||
\(706\) | 89762.2 | − | 257374.i | 0.180088 | − | 0.516363i | ||||
\(707\) | −67491.3 | + | 80433.0i | −0.135023 | + | 0.160915i | ||||
\(708\) | 791685. | + | 264183.i | 1.57938 | + | 0.527033i | ||||
\(709\) | 74792.2 | − | 424168.i | 0.148787 | − | 0.843811i | −0.815462 | − | 0.578811i | \(-0.803517\pi\) |
0.964248 | − | 0.265000i | \(-0.0853719\pi\) | |||||||
\(710\) | −75169.5 | − | 126233.i | −0.149116 | − | 0.250412i | ||||
\(711\) | 1.12527e6 | − | 649677.i | 2.22597 | − | 1.28516i | ||||
\(712\) | 371672. | + | 905353.i | 0.733161 | + | 1.78590i | ||||
\(713\) | 131330. | − | 47800.0i | 0.258335 | − | 0.0940263i | ||||
\(714\) | −4721.80 | − | 349894.i | −0.00926214 | − | 0.686341i | ||||
\(715\) | −127731. | − | 73745.3i | −0.249852 | − | 0.144252i | ||||
\(716\) | −248445. | − | 629221.i | −0.484622 | − | 1.22738i | ||||
\(717\) | −777995. | + | 652815.i | −1.51335 | + | 1.26985i | ||||
\(718\) | 395753. | − | 150120.i | 0.767671 | − | 0.291199i | ||||
\(719\) | −269905. | + | 47591.5i | −0.522099 | + | 0.0920602i | −0.428486 | − | 0.903548i | \(-0.640953\pi\) |
−0.0936132 | + | 0.995609i | \(0.529842\pi\) | |||||||
\(720\) | −99707.5 | + | 93280.6i | −0.192337 | + | 0.179939i | ||||
\(721\) | 574224. | 1.10461 | ||||||||
\(722\) | −477988. | + | 208001.i | −0.916944 | + | 0.399016i | ||||
\(723\) | 1.27186e6i | 2.43312i | ||||||||
\(724\) | −44304.0 | − | 216863.i | −0.0845211 | − | 0.413723i | ||||
\(725\) | −76459.1 | − | 433621.i | −0.145463 | − | 0.824963i | ||||
\(726\) | −536463. | + | 203496.i | −1.01781 | + | 0.386084i | ||||
\(727\) | 612163. | + | 729547.i | 1.15824 | + | 1.38033i | 0.911524 | + | 0.411247i | \(0.134906\pi\) |
0.246714 | + | 0.969088i | \(0.420649\pi\) | |||||||
\(728\) | −148569. | + | 1.10166e6i | −0.280327 | + | 2.07866i | ||||
\(729\) | −414607. | + | 718121.i | −0.780157 | + | 1.35127i | ||||
\(730\) | 333.295 | + | 24697.8i | 0.000625437 | + | 0.0463460i | ||||
\(731\) | −72385.9 | − | 198879.i | −0.135463 | − | 0.372180i | ||||
\(732\) | −179715. | + | 226308.i | −0.335399 | + | 0.422355i | ||||
\(733\) | −19022.2 | − | 32947.5i | −0.0354041 | − | 0.0613217i | 0.847780 | − | 0.530347i | \(-0.177938\pi\) |
−0.883185 | + | 0.469026i | \(0.844605\pi\) | |||||||
\(734\) | 92319.8 | + | 155033.i | 0.171357 | + | 0.287761i | ||||
\(735\) | 358279. | + | 63174.3i | 0.663204 | + | 0.116941i | ||||
\(736\) | 169679. | + | 49085.2i | 0.313237 | + | 0.0906139i | ||||
\(737\) | −656331. | − | 550727.i | −1.20834 | − | 1.01391i | ||||
\(738\) | 22518.0 | − | 64565.4i | 0.0413444 | − | 0.118546i | ||||
\(739\) | 30395.5 | − | 83511.0i | 0.0556571 | − | 0.152917i | −0.908748 | − | 0.417344i | \(-0.862961\pi\) |
0.964405 | + | 0.264428i | \(0.0851831\pi\) | |||||||
\(740\) | −26601.5 | − | 43331.1i | −0.0485784 | − | 0.0791291i | ||||
\(741\) | −581135. | − | 789046.i | −1.05838 | − | 1.43703i | ||||
\(742\) | 437213. | − | 781440.i | 0.794118 | − | 1.41934i | ||||
\(743\) | −133636. | + | 367161.i | −0.242072 | + | 0.665088i | 0.757848 | + | 0.652432i | \(0.226251\pi\) |
−0.999920 | + | 0.0126566i | \(0.995971\pi\) | |||||||
\(744\) | 703304. | − | 153595.i | 1.27057 | − | 0.277481i | ||||
\(745\) | −46853.1 | − | 39314.4i | −0.0844161 | − | 0.0708335i | ||||
\(746\) | −140003. | + | 26639.0i | −0.251570 | + | 0.0478674i | ||||
\(747\) | −163724. | − | 28868.9i | −0.293407 | − | 0.0517355i | ||||
\(748\) | −4839.99 | − | 179293.i | −0.00865049 | − | 0.320450i | ||||
\(749\) | 360412. | + | 624253.i | 0.642445 | + | 1.11275i | ||||
\(750\) | 52159.1 | − | 321087.i | 0.0927274 | − | 0.570822i | ||||
\(751\) | 64897.7 | + | 178305.i | 0.115067 | + | 0.316143i | 0.983835 | − | 0.179075i | \(-0.0573104\pi\) |
−0.868769 | + | 0.495218i | \(0.835088\pi\) | |||||||
\(752\) | −24955.3 | − | 461887.i | −0.0441294 | − | 0.816771i | ||||
\(753\) | 178218. | − | 308683.i | 0.314313 | − | 0.544407i | ||||
\(754\) | 361633. | − | 442981.i | 0.636099 | − | 0.779189i | ||||
\(755\) | −43820.1 | − | 52222.8i | −0.0768740 | − | 0.0916149i | ||||
\(756\) | 89165.9 | − | 599940.i | 0.156011 | − | 1.04970i | ||||
\(757\) | 100941. | + | 572465.i | 0.176147 | + | 0.998982i | 0.936811 | + | 0.349836i | \(0.113763\pi\) |
−0.760664 | + | 0.649146i | \(0.775126\pi\) | |||||||
\(758\) | −91488.6 | + | 78896.1i | −0.159231 | + | 0.137315i | ||||
\(759\) | − | 378443.i | − | 0.656927i | ||||||
\(760\) | −35341.5 | − | 104465.i | −0.0611868 | − | 0.180860i | ||||
\(761\) | −598676. | −1.03377 | −0.516883 | − | 0.856056i | \(-0.672908\pi\) | ||||
−0.516883 | + | 0.856056i | \(0.672908\pi\) | |||||||
\(762\) | 616643. | + | 715065.i | 1.06200 | + | 1.23150i | ||||
\(763\) | −1.15309e6 | + | 203321.i | −1.98068 | + | 0.349247i | ||||
\(764\) | −557693. | − | 82886.9i | −0.955451 | − | 0.142004i | ||||
\(765\) | −28982.5 | + | 24319.2i | −0.0495237 | + | 0.0415553i | ||||
\(766\) | −556875. | − | 454611.i | −0.949074 | − | 0.774786i | ||||
\(767\) | −636238. | − | 367332.i | −1.08151 | − | 0.624407i | ||||
\(768\) | 832371. | + | 367375.i | 1.41122 | + | 0.622855i | ||||
\(769\) | 474291. | − | 172628.i | 0.802033 | − | 0.291916i | 0.0917044 | − | 0.995786i | \(-0.470769\pi\) |
0.710329 | + | 0.703870i | \(0.248546\pi\) | |||||||
\(770\) | 264557. | + | 42976.1i | 0.446209 | + | 0.0724846i | ||||
\(771\) | 772204. | − | 445832.i | 1.29904 | − | 0.750003i | ||||
\(772\) | −678256. | + | 18309.4i | −1.13804 | + | 0.0307213i | ||||
\(773\) | 150576. | − | 853958.i | 0.251997 | − | 1.42915i | −0.551666 | − | 0.834065i | \(-0.686008\pi\) |
0.803664 | − | 0.595084i | \(-0.202881\pi\) | |||||||
\(774\) | −249263. | − | 1.31002e6i | −0.416079 | − | 2.18673i | ||||
\(775\) | −313629. | + | 373768.i | −0.522171 | + | 0.622299i | ||||
\(776\) | 155073. | − | 33866.6i | 0.257521 | − | 0.0562403i | ||||
\(777\) | 771529. | + | 280813.i | 1.27794 | + | 0.465132i | ||||
\(778\) | 597894. | + | 334519.i | 0.987791 | + | 0.552665i | ||||
\(779\) | 39976.8 | + | 38107.0i | 0.0658769 | + | 0.0627956i | ||||
\(780\) | 176678. | − | 108465.i | 0.290398 | − | 0.178279i | ||||
\(781\) | 1.14268e6 | + | 415902.i | 1.87337 | + | 0.681851i | ||||
\(782\) | 46214.7 | + | 16117.9i | 0.0755730 | + | 0.0263570i | ||||
\(783\) | −200558. | + | 239016.i | −0.327127 | + | 0.389855i | ||||
\(784\) | −318369. | − | 1.36891e6i | −0.517963 | − | 2.22711i | ||||
\(785\) | 11631.9 | − | 65967.8i | 0.0188761 | − | 0.107051i | ||||
\(786\) | −173814. | + | 103503.i | −0.281345 | + | 0.167537i | ||||
\(787\) | 189253. | − | 109266.i | 0.305559 | − | 0.176414i | −0.339379 | − | 0.940650i | \(-0.610217\pi\) |
0.644937 | + | 0.764236i | \(0.276883\pi\) | |||||||
\(788\) | −594113. | − | 471795.i | −0.956789 | − | 0.759803i | ||||
\(789\) | −940157. | + | 342189.i | −1.51024 | + | 0.549683i | ||||
\(790\) | −222003. | + | 2995.92i | −0.355717 | + | 0.00480039i | ||||
\(791\) | −852926. | − | 492437.i | −1.36320 | − | 0.787042i | ||||
\(792\) | 151038. | − | 1.11997e6i | 0.240788 | − | 1.78548i | ||||
\(793\) | 194868. | − | 163514.i | 0.309881 | − | 0.260021i | ||||
\(794\) | 95335.3 | + | 251327.i | 0.151221 | + | 0.398655i | ||||
\(795\) | −164459. | + | 28998.5i | −0.260209 | + | 0.0458819i | ||||
\(796\) | 198845. | − | 40622.9i | 0.313826 | − | 0.0641129i | ||||
\(797\) | 599436. | 0.943683 | 0.471841 | − | 0.881684i | \(-0.343590\pi\) | ||||
0.471841 | + | 0.881684i | \(0.343590\pi\) | |||||||
\(798\) | 1.49596e6 | + | 966118.i | 2.34917 | + | 1.51714i | ||||
\(799\) | − | 128172.i | − | 0.200771i | ||||||
\(800\) | −598699. | + | 147784.i | −0.935468 | + | 0.230912i | ||||
\(801\) | 296709. | + | 1.68272e6i | 0.462451 | + | 2.62269i | ||||
\(802\) | −129074. | − | 340270.i | −0.200673 | − | 0.529023i | ||||
\(803\) | −131410. | − | 156608.i | −0.203796 | − | 0.242875i | ||||
\(804\) | 1.12015e6 | − | 442285.i | 1.73286 | − | 0.684212i | ||||
\(805\) | −36570.4 | + | 63341.8i | −0.0564336 | + | 0.0977459i | ||||
\(806\) | −633624. | + | 8550.72i | −0.975352 | + | 0.0131623i | ||||
\(807\) | 297923. | + | 818537.i | 0.457464 | + | 1.25687i | ||||
\(808\) | −28728.7 | − | 69980.0i | −0.0440041 | − | 0.107189i | ||||
\(809\) | −237870. | − | 412003.i | −0.363448 | − | 0.629510i | 0.625078 | − | 0.780562i | \(-0.285067\pi\) |
−0.988526 | + | 0.151052i | \(0.951734\pi\) | |||||||
\(810\) | 51286.5 | − | 30540.3i | 0.0781687 | − | 0.0465483i | ||||
\(811\) | −980200. | − | 172836.i | −1.49030 | − | 0.262780i | −0.631613 | − | 0.775284i | \(-0.717607\pi\) |
−0.858685 | + | 0.512504i | \(0.828718\pi\) | |||||||
\(812\) | −328941. | + | 985749.i | −0.498892 | + | 1.49505i | ||||
\(813\) | 160617. | + | 134773.i | 0.243002 | + | 0.203903i | ||||
\(814\) | 397362. | + | 138585.i | 0.599705 | + | 0.209154i | ||||
\(815\) | 25357.2 | − | 69668.4i | 0.0381757 | − | 0.104887i | ||||
\(816\) | 224816. | + | 114092.i | 0.337635 | + | 0.171347i | ||||
\(817\) | 1.04675e6 | + | 253781.i | 1.56818 | + | 0.380202i | ||||
\(818\) | −92240.0 | − | 51607.9i | −0.137852 | − | 0.0771276i | ||||
\(819\) | −663797. | + | 1.82377e6i | −0.989617 | + | 2.71895i | ||||
\(820\) | −8744.64 | + | 7749.21i | −0.0130051 | + | 0.0115247i | ||||
\(821\) | 460557. | + | 386453.i | 0.683278 | + | 0.573338i | 0.916962 | − | 0.398974i | \(-0.130634\pi\) |
−0.233684 | + | 0.972313i | \(0.575078\pi\) | |||||||
\(822\) | 190773. | + | 1.00262e6i | 0.282340 | + | 1.48385i | ||||
\(823\) | 764781. | + | 134851.i | 1.12911 | + | 0.199093i | 0.706838 | − | 0.707375i | \(-0.250121\pi\) |
0.422274 | + | 0.906468i | \(0.361232\pi\) | |||||||
\(824\) | −192185. | + | 366361.i | −0.283051 | + | 0.539578i | ||||
\(825\) | 660606. | + | 1.14420e6i | 0.970588 | + | 1.68111i | ||||
\(826\) | 1.31778e6 | + | 214068.i | 1.93145 | + | 0.313756i | ||||
\(827\) | −174561. | − | 479601.i | −0.255232 | − | 0.701244i | −0.999445 | − | 0.0333021i | \(-0.989398\pi\) |
0.744213 | − | 0.667942i | \(-0.232825\pi\) | |||||||
\(828\) | 271139. | + | 146933.i | 0.395486 | + | 0.214318i | ||||
\(829\) | −239722. | + | 415211.i | −0.348819 | + | 0.604171i | −0.986040 | − | 0.166509i | \(-0.946750\pi\) |
0.637221 | + | 0.770681i | \(0.280084\pi\) | |||||||
\(830\) | 22005.7 | + | 17964.6i | 0.0319432 | + | 0.0260772i | ||||
\(831\) | 354137. | + | 422044.i | 0.512825 | + | 0.611161i | ||||
\(832\) | −653145. | − | 463498.i | −0.943546 | − | 0.669579i | ||||
\(833\) | −67625.2 | − | 383522.i | −0.0974583 | − | 0.552713i | ||||
\(834\) | −844401. | − | 979175.i | −1.21399 | − | 1.40776i | ||||
\(835\) | 12.1219i | 1.73859e-5i | ||||||||
\(836\) | 773384. | + | 484803.i | 1.10658 | + | 0.693670i | ||||
\(837\) | 345750. | 0.493528 | ||||||||
\(838\) | 61024.5 | − | 52625.1i | 0.0868993 | − | 0.0749385i | ||||
\(839\) | 991498. | − | 174828.i | 1.40854 | − | 0.248363i | 0.582890 | − | 0.812551i | \(-0.301922\pi\) |
0.825646 | + | 0.564188i | \(0.190811\pi\) | |||||||
\(840\) | −230286. | + | 298165.i | −0.326370 | + | 0.422570i | ||||
\(841\) | −132297. | + | 111010.i | −0.187049 | + | 0.156953i | ||||
\(842\) | −619988. | + | 759453.i | −0.874498 | + | 1.07122i | ||||
\(843\) | −510115. | − | 294515.i | −0.717816 | − | 0.414431i | ||||
\(844\) | 287946. | + | 156041.i | 0.404228 | + | 0.219055i | ||||
\(845\) | −43379.0 | + | 15788.7i | −0.0607528 | + | 0.0221122i | ||||
\(846\) | 129492. | − | 797142.i | 0.180927 | − | 1.11377i | ||||
\(847\) | −794849. | + | 458906.i | −1.10794 | + | 0.639671i | ||||
\(848\) | 352238. | + | 540484.i | 0.489829 | + | 0.751607i | ||||
\(849\) | 364180. | − | 2.06537e6i | 0.505243 | − | 2.86538i | ||||
\(850\) | −167863. | + | 31940.1i | −0.232337 | + | 0.0442078i | ||||
\(851\) | −73818.2 | + | 87973.1i | −0.101931 | + | 0.121476i | ||||
\(852\) | −1.27924e6 | + | 1.13362e6i | −1.76228 | + | 1.56167i | ||||
\(853\) | −479792. | − | 174630.i | −0.659409 | − | 0.240005i | −0.00942794 | − | 0.999956i | \(-0.503001\pi\) |
−0.649981 | + | 0.759950i | \(0.725223\pi\) | |||||||
\(854\) | −225713. | + | 403423.i | −0.309486 | + | 0.553152i | ||||
\(855\) | −21368.0 | − | 191352.i | −0.0292302 | − | 0.261758i | ||||
\(856\) | −518905. | + | 21018.0i | −0.708174 | + | 0.0286843i | ||||
\(857\) | −1.16344e6 | − | 423458.i | −1.58410 | − | 0.576566i | −0.608011 | − | 0.793929i | \(-0.708032\pi\) |
−0.976091 | + | 0.217363i | \(0.930255\pi\) | |||||||
\(858\) | −565065. | + | 1.62020e6i | −0.767580 | + | 2.20087i | ||||
\(859\) | 355917. | − | 424166.i | 0.482350 | − | 0.574843i | −0.468904 | − | 0.883249i | \(-0.655351\pi\) |
0.951255 | + | 0.308406i | \(0.0997956\pi\) | |||||||
\(860\) | −72126.7 | + | 216145.i | −0.0975213 | + | 0.292245i | ||||
\(861\) | 32763.0 | − | 185808.i | 0.0441954 | − | 0.250645i | ||||
\(862\) | −427921. | − | 718610.i | −0.575903 | − | 0.967117i | ||||
\(863\) | 82237.3 | − | 47479.7i | 0.110420 | − | 0.0637509i | −0.443773 | − | 0.896139i | \(-0.646360\pi\) |
0.554193 | + | 0.832388i | \(0.313027\pi\) | |||||||
\(864\) | 352925. | + | 257680.i | 0.472776 | + | 0.345187i | ||||
\(865\) | −104595. | + | 38069.3i | −0.139790 | + | 0.0508795i | ||||
\(866\) | −1263.31 | − | 93613.5i | −0.00168451 | − | 0.124825i | ||||
\(867\) | −943679. | − | 544833.i | −1.25541 | − | 0.724812i | ||||
\(868\) | 1.07108e6 | − | 422910.i | 1.42162 | − | 0.561317i | ||||
\(869\) | 1.40772e6 | − | 1.18121e6i | 1.86413 | − | 1.56419i | ||||
\(870\) | 181206. | − | 68736.5i | 0.239405 | − | 0.0908132i | ||||
\(871\) | −1.04400e6 | + | 184085.i | −1.37614 | + | 0.242651i | ||||
\(872\) | 256202. | − | 803731.i | 0.336938 | − | 1.05701i | ||||
\(873\) | 277125. | 0.363620 | ||||||||
\(874\) | −198548. | + | 150406.i | −0.259922 | + | 0.196898i | ||||
\(875\) | − | 520356.i | − | 0.679649i | ||||||
\(876\) | 281546. | − | 57518.2i | 0.366894 | − | 0.0749544i | ||||
\(877\) | 136354. | + | 773300.i | 0.177283 | + | 1.00542i | 0.935475 | + | 0.353392i | \(0.114972\pi\) |
−0.758192 | + | 0.652031i | \(0.773917\pi\) | |||||||
\(878\) | −307234. | + | 116543.i | −0.398548 | + | 0.151180i | ||||
\(879\) | 1.39999e6 | + | 1.66845e6i | 1.81196 | + | 2.15941i | ||||
\(880\) | −115963. | + | 154407.i | −0.149746 | + | 0.199389i | ||||
\(881\) | −486077. | + | 841910.i | −0.626258 | + | 1.08471i | 0.362038 | + | 0.932163i | \(0.382081\pi\) |
−0.988296 | + | 0.152547i | \(0.951252\pi\) | |||||||
\(882\) | −33110.6 | − | 2.45355e6i | −0.0425628 | − | 3.15398i | ||||
\(883\) | 192146. | + | 527917.i | 0.246439 | + | 0.677087i | 0.999810 | + | 0.0194905i | \(0.00620441\pi\) |
−0.753371 | + | 0.657596i | \(0.771573\pi\) | |||||||
\(884\) | −173790. | − | 138009.i | −0.222392 | − | 0.176605i | ||||
\(885\) | −124492. | − | 215627.i | −0.158948 | − | 0.275306i | ||||
\(886\) | 781400. | + | 1.31221e6i | 0.995420 | + | 1.67161i | ||||
\(887\) | −165245. | − | 29137.2i | −0.210030 | − | 0.0370340i | 0.0676428 | − | 0.997710i | \(-0.478452\pi\) |
−0.277673 | + | 0.960676i | \(0.589563\pi\) | |||||||
\(888\) | −437382. | + | 398259.i | −0.554670 | + | 0.505056i | ||||
\(889\) | 1.15705e6 | + | 970882.i | 1.46403 | + | 1.22846i | ||||
\(890\) | 96146.9 | − | 275680.i | 0.121382 | − | 0.348037i | ||||
\(891\) | −168975. | + | 464256.i | −0.212847 | + | 0.584793i | ||||
\(892\) | −784187. | + | 481423.i | −0.985576 | + | 0.605058i | ||||
\(893\) | 543123. | + | 361236.i | 0.681075 | + | 0.452989i | ||||
\(894\) | −347435. | + | 620978.i | −0.434709 | + | 0.776965i | ||||
\(895\) | −69025.4 | + | 189646.i | −0.0861714 | + | 0.236754i | ||||
\(896\) | 1.40849e6 | + | 366567.i | 1.75444 | + | 0.456602i | ||||
\(897\) | −358701. | − | 300986.i | −0.445808 | − | 0.374077i | ||||
\(898\) | 1.20960e6 | − | 230157.i | 1.50000 | − | 0.285412i | ||||
\(899\) | −583384. | − | 102866.i | −0.721830 | − | 0.127278i | ||||
\(900\) | −1.07626e6 | + | 29053.4i | −1.32871 | + | 0.0358684i | ||||
\(901\) | 89380.7 | + | 154812.i | 0.110102 | + | 0.190702i | ||||
\(902\) | 15506.4 | − | 95456.0i | 0.0190589 | − | 0.117325i | ||||
\(903\) | −1.25846e6 | − | 3.45759e6i | −1.54335 | − | 4.24031i | ||||
\(904\) | 599643. | − | 379364.i | 0.733763 | − | 0.464215i | ||||
\(905\) | −33016.3 | + | 57186.0i | −0.0403117 | + | 0.0698220i | ||||
\(906\) | −501560. | + | 614386.i | −0.611036 | + | 0.748488i | ||||
\(907\) | 335102. | + | 399359.i | 0.407345 | + | 0.485455i | 0.930245 | − | 0.366939i | \(-0.119594\pi\) |
−0.522900 | + | 0.852394i | \(0.675150\pi\) | |||||||
\(908\) | 993117. | + | 147602.i | 1.20456 | + | 0.179027i | ||||
\(909\) | −22934.4 | − | 130067.i | −0.0277562 | − | 0.157413i | ||||
\(910\) | 251144. | − | 216576.i | 0.303277 | − | 0.261534i | ||||
\(911\) | 877414.i | 1.05723i | 0.848863 | + | 0.528613i | \(0.177288\pi\) | ||||
−0.848863 | + | 0.528613i | \(0.822712\pi\) | |||||||
\(912\) | −1.11707e6 | + | 631092.i | −1.34305 | + | 0.758757i | ||||
\(913\) | −235122. | −0.282066 | ||||||||
\(914\) | 460159. | + | 533605.i | 0.550827 | + | 0.638744i | ||||
\(915\) | 84902.7 | − | 14970.6i | 0.101410 | − | 0.0178813i | ||||
\(916\) | −38865.9 | + | 261504.i | −0.0463210 | + | 0.311664i | ||||
\(917\) | −247894. | + | 208008.i | −0.294800 | + | 0.247367i | ||||
\(918\) | 93798.6 | + | 76573.5i | 0.111304 | + | 0.0908642i | ||||
\(919\) | −172580. | − | 99639.0i | −0.204343 | − | 0.117977i | 0.394337 | − | 0.918966i | \(-0.370974\pi\) |
−0.598679 | + | 0.800989i | \(0.704308\pi\) | |||||||
\(920\) | −28173.1 | − | 44531.9i | −0.0332858 | − | 0.0526134i | ||||
\(921\) | −848135. | + | 308696.i | −0.999875 | + | 0.363925i | ||||
\(922\) | −764314. | − | 124159.i | −0.899105 | − | 0.146055i | ||||
\(923\) | 1.30301e6 | − | 752295.i | 1.52949 | − | 0.883049i | ||||
\(924\) | −84145.1 | − | 3.11708e6i | −0.0985564 | − | 3.65094i | ||||
\(925\) | 69620.7 | − | 394839.i | 0.0813683 | − | 0.461462i | ||||
\(926\) | −269757. | − | 1.41772e6i | −0.314594 | − | 1.65337i | ||||
\(927\) | −464286. | + | 553314.i | −0.540289 | + | 0.643891i | ||||
\(928\) | −518826. | − | 539785.i | −0.602457 | − | 0.626794i | ||||
\(929\) | −778898. | − | 283496.i | −0.902504 | − | 0.328485i | −0.151248 | − | 0.988496i | \(-0.548329\pi\) |
−0.751256 | + | 0.660011i | \(0.770552\pi\) | |||||||
\(930\) | −187420. | − | 104861.i | −0.216695 | − | 0.121240i | ||||
\(931\) | 1.81574e6 | + | 794344.i | 2.09486 | + | 0.916451i | ||||
\(932\) | 378222. | + | 616084.i | 0.435427 | + | 0.709264i | ||||
\(933\) | −1.97896e6 | − | 720284.i | −2.27339 | − | 0.827448i | ||||
\(934\) | 307758. | + | 107334.i | 0.352790 | + | 0.123040i | ||||
\(935\) | −34394.0 | + | 40989.2i | −0.0393423 | + | 0.0468863i | ||||
\(936\) | −941418. | − | 1.03390e6i | −1.07456 | − | 1.18012i | ||||
\(937\) | −8448.90 | + | 47916.1i | −0.00962323 | + | 0.0545760i | −0.989241 | − | 0.146293i | \(-0.953266\pi\) |
0.979618 | + | 0.200870i | \(0.0643767\pi\) | |||||||
\(938\) | 1.65521e6 | − | 985653.i | 1.88125 | − | 1.12026i | ||||
\(939\) | −1.07712e6 | + | 621877.i | −1.22161 | + | 0.705299i | ||||
\(940\) | −85816.4 | + | 108065.i | −0.0971214 | + | 0.122301i | ||||
\(941\) | 185075. | − | 67361.8i | 0.209011 | − | 0.0760737i | −0.235393 | − | 0.971900i | \(-0.575638\pi\) |
0.444404 | + | 0.895827i | \(0.353416\pi\) | |||||||
\(942\) | −779241. | + | 10515.8i | −0.878152 | + | 0.0118506i | ||||
\(943\) | 22854.6 | + | 13195.1i | 0.0257010 | + | 0.0148385i | ||||
\(944\) | −577622. | + | 769114.i | −0.648186 | + | 0.863072i | ||||
\(945\) | −138612. | + | 116309.i | −0.155216 | + | 0.130242i | ||||
\(946\) | −668892. | − | 1.76336e6i | −0.747436 | − | 1.97042i | ||||
\(947\) | 1.48704e6 | − | 262205.i | 1.65814 | − | 0.292375i | 0.735354 | − | 0.677683i | \(-0.237016\pi\) |
0.922788 | + | 0.385308i | \(0.125905\pi\) | |||||||
\(948\) | 517019. | + | 2.53076e6i | 0.575294 | + | 2.81601i | ||||
\(949\) | −252952. | −0.280870 | ||||||||
\(950\) | 337754. | − | 801328.i | 0.374243 | − | 0.887898i | ||||
\(951\) | − | 1.92494e6i | − | 2.12842i | ||||||
\(952\) | 384236. | + | 122481.i | 0.423959 | + | 0.135144i | ||||
\(953\) | 39130.1 | + | 221918.i | 0.0430849 | + | 0.244347i | 0.998743 | − | 0.0501334i | \(-0.0159646\pi\) |
−0.955658 | + | 0.294480i | \(0.904854\pi\) | |||||||
\(954\) | 399479. | + | 1.05312e6i | 0.438932 | + | 1.15713i | ||||
\(955\) | 108119. | + | 128851.i | 0.118548 | + | 0.141280i | ||||
\(956\) | −429857. | − | 1.08867e6i | −0.470336 | − | 1.19119i | ||||
\(957\) | −802041. | + | 1.38918e6i | −0.875735 | + | 1.51682i | ||||
\(958\) | 1.11850e6 | − | 15094.1i | 1.21872 | − | 0.0164466i | ||||
\(959\) | 558382. | + | 1.53414e6i | 0.607147 | + | 1.66812i | ||||
\(960\) | −113159. | − | 246717.i | −0.122785 | − | 0.267705i | ||||
\(961\) | −133542. | − | 231302.i | −0.144601 | − | 0.250457i | ||||
\(962\) | 447388. | − | 266413.i | 0.483431 | − | 0.287876i | ||||
\(963\) | −892930. | − | 157448.i | −0.962864 | − | 0.169779i | ||||
\(964\) | −1.39043e6 | − | 463983.i | −1.49622 | − | 0.499284i | ||||
\(965\) | 155060. | + | 130111.i | 0.166512 | + | 0.139720i | ||||
\(966\) | 803461. | + | 280217.i | 0.861014 | + | 0.300289i | ||||
\(967\) | 403415. | − | 1.10837e6i | 0.431419 | − | 1.18531i | −0.513523 | − | 0.858076i | \(-0.671660\pi\) |
0.944942 | − | 0.327238i | \(-0.106118\pi\) | |||||||
\(968\) | −26761.8 | − | 660711.i | −0.0285604 | − | 0.705117i | ||||
\(969\) | −318516. | + | 157917.i | −0.339222 | + | 0.168183i | ||||
\(970\) | −41324.6 | − | 23121.0i | −0.0439203 | − | 0.0245732i | ||||
\(971\) | 278934. | − | 766365.i | 0.295844 | − | 0.812825i | −0.699339 | − | 0.714790i | \(-0.746522\pi\) |
0.995183 | − | 0.0980349i | \(-0.0312557\pi\) | |||||||
\(972\) | −827378. | − | 933658.i | −0.875732 | − | 0.988224i | ||||
\(973\) | −1.58441e6 | − | 1.32948e6i | −1.67356 | − | 1.40429i | ||||
\(974\) | −92700.9 | − | 487195.i | −0.0977161 | − | 0.513553i | ||||
\(975\) | 1.60991e6 | + | 283871.i | 1.69353 | + | 0.298615i | ||||
\(976\) | −181845. | − | 279028.i | −0.190898 | − | 0.292919i | ||||
\(977\) | −528064. | − | 914633.i | −0.553219 | − | 0.958204i | −0.998040 | − | 0.0625839i | \(-0.980066\pi\) |
0.444821 | − | 0.895620i | \(-0.353267\pi\) | |||||||
\(978\) | −851383. | − | 138303.i | −0.890118 | − | 0.144596i | ||||
\(979\) | 826506. | + | 2.27081e6i | 0.862344 | + | 2.36927i | ||||
\(980\) | −199766. | + | 368634.i | −0.208003 | + | 0.383834i | ||||
\(981\) | 736407. | − | 1.27549e6i | 0.765208 | − | 1.32538i | ||||
\(982\) | 270695. | + | 220984.i | 0.280709 | + | 0.229160i | ||||
\(983\) | 125795. | + | 149916.i | 0.130183 | + | 0.155146i | 0.827198 | − | 0.561910i | \(-0.189933\pi\) |
−0.697015 | + | 0.717057i | \(0.745489\pi\) | |||||||
\(984\) | 107582. | + | 83090.6i | 0.111109 | + | 0.0858147i | ||||
\(985\) | 39301.5 | + | 222890.i | 0.0405076 | + | 0.229730i | ||||
\(986\) | −135484. | − | 157109.i | −0.139359 | − | 0.161602i | ||||
\(987\) | − | 2.22833e6i | − | 2.28742i | ||||||
\(988\) | 1.07461e6 | − | 347463.i | 1.10087 | − | 0.355954i | ||||
\(989\) | 514656. | 0.526168 | ||||||||
\(990\) | −255318. | + | 220176.i | −0.260502 | + | 0.224646i | ||||
\(991\) | −404281. | + | 71285.6i | −0.411657 | + | 0.0725863i | −0.375642 | − | 0.926765i | \(-0.622578\pi\) |
−0.0360156 | + | 0.999351i | \(0.511467\pi\) | |||||||
\(992\) | −88654.9 | + | 824902.i | −0.0900906 | + | 0.838261i | ||||
\(993\) | 1.28280e6 | − | 1.07639e6i | 1.30094 | − | 1.09162i | ||||
\(994\) | −1.72908e6 | + | 2.11804e6i | −1.75002 | + | 2.14369i | ||||
\(995\) | −52434.6 | − | 30273.2i | −0.0529630 | − | 0.0305782i | ||||
\(996\) | 157462. | − | 290570.i | 0.158730 | − | 0.292908i | ||||
\(997\) | 820282. | − | 298558.i | 0.825226 | − | 0.300358i | 0.105328 | − | 0.994438i | \(-0.466411\pi\) |
0.719898 | + | 0.694080i | \(0.244188\pi\) | |||||||
\(998\) | −236075. | + | 1.45326e6i | −0.237022 | + | 1.45909i | ||||
\(999\) | −246044. | + | 142053.i | −0.246537 | + | 0.142338i |
(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 | 76.5.l.a.23.12 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.3 | ✓ | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.3 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.12 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.3 | ✓ | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.23.12 | yes | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.43.3 | yes | 228 | 19.5 | even | 9 | inner | |
76.5.l.a.43.12 | yes | 228 | 76.43 | odd | 18 | inner |