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 | 43.12 | ||
Character | \(\chi\) | \(=\) | 76.43 |
Dual form | 76.5.l.a.23.12 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 | 0.870088 | − | 0.492896i | \(-0.164062\pi\) |
0.649035 | + | 0.760758i | \(0.275173\pi\) | |||||||
\(4\) | −2.35216 | − | 15.8262i | −0.147010 | − | 0.989135i | ||||
\(5\) | 3.65652 | + | 3.06818i | 0.146261 | + | 0.122727i | 0.712982 | − | 0.701182i | \(-0.247344\pi\) |
−0.566722 | + | 0.823909i | \(0.691788\pi\) | |||||||
\(6\) | −43.0179 | + | 35.1181i | −1.19494 | + | 0.975502i | ||||
\(7\) | −76.9302 | + | 44.4157i | −1.57000 | + | 0.906442i | −0.573837 | + | 0.818970i | \(0.694546\pi\) |
−0.996167 | + | 0.0874725i | \(0.972121\pi\) | |||||||
\(8\) | 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 | 0.944198 | − | 0.329377i | \(-0.106839\pi\) |
0.186850 | + | 0.982388i | \(0.440172\pi\) | |||||||
\(12\) | 5.99414 | − | 222.048i | 0.0416259 | − | 1.54200i | ||||
\(13\) | 33.9535 | + | 192.560i | 0.200908 | + | 1.13941i | 0.903750 | + | 0.428061i | \(0.140803\pi\) |
−0.702841 | + | 0.711347i | \(0.748086\pi\) | |||||||
\(14\) | 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 | −0.454760 | − | 0.890614i | \(-0.650275\pi\) |
0.224110 | + | 0.974564i | \(0.428053\pi\) | |||||||
\(18\) | −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 | 0.860595 | − | 0.509291i | \(-0.170092\pi\) |
−0.650994 | + | 0.759083i | \(0.725648\pi\) | |||||||
\(24\) | 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 | −0.100459 | − | 0.994941i | \(-0.532031\pi\) |
−0.716492 | + | 0.697595i | \(0.754253\pi\) | |||||||
\(30\) | −265.044 | − | 3.57676i | −0.294493 | − | 0.00397418i | ||||
\(31\) | 701.660 | − | 405.104i | 0.730136 | − | 0.421544i | −0.0883362 | − | 0.996091i | \(-0.528155\pi\) |
0.818472 | + | 0.574547i | \(0.194822\pi\) | |||||||
\(32\) | 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 | −0.975886 | − | 0.218283i | \(-0.929955\pi\) |
0.991690 | + | 0.128654i | \(0.0410657\pi\) | |||||||
\(42\) | 1749.58 | − | 4612.31i | 0.991825 | − | 2.61469i | ||||
\(43\) | 1917.80 | − | 2285.55i | 1.03721 | − | 1.23610i | 0.0660157 | − | 0.997819i | \(-0.478971\pi\) |
0.971196 | − | 0.238282i | \(-0.0765843\pi\) | |||||||
\(44\) | 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 | −0.717630 | − | 0.696425i | \(-0.754773\pi\) |
0.997390 | − | 0.0722086i | \(-0.0230047\pi\) | |||||||
\(48\) | −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 | −0.918113 | − | 0.396320i | \(-0.870287\pi\) |
0.230870 | + | 0.972985i | \(0.425843\pi\) | |||||||
\(54\) | −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 | 0.975679 | + | 0.219202i | \(0.0703455\pi\) |
−0.606513 | + | 0.795073i | \(0.707432\pi\) | |||||||
\(60\) | 703.200 | − | 793.529i | 0.195333 | − | 0.220425i | ||||
\(61\) | 996.613 | − | 836.257i | 0.267835 | − | 0.224740i | −0.498972 | − | 0.866618i | \(-0.666289\pi\) |
0.766807 | + | 0.641878i | \(0.221845\pi\) | |||||||
\(62\) | −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 | 0.542463 | + | 0.840080i | \(0.317492\pi\) |
−0.955543 | + | 0.294850i | \(0.904730\pi\) | |||||||
\(68\) | 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 | −0.00436316 | − | 0.999990i | \(-0.501389\pi\) |
0.985556 | − | 0.169350i | \(-0.0541667\pi\) | |||||||
\(72\) | 4371.27 | + | 5659.73i | 0.843223 | + | 1.09177i | ||||
\(73\) | −224.644 | + | 1274.02i | −0.0421549 | + | 0.239072i | −0.998604 | − | 0.0528280i | \(-0.983176\pi\) |
0.956449 | + | 0.291900i | \(0.0942876\pi\) | |||||||
\(74\) | 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 | 0.980579 | − | 0.196127i | \(-0.0628364\pi\) |
0.854363 | + | 0.519676i | \(0.173948\pi\) | |||||||
\(80\) | −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 | −0.590596 | − | 0.806968i | \(-0.701107\pi\) |
0.403557 | + | 0.914955i | \(0.367774\pi\) | |||||||
\(84\) | 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 | −0.424908 | − | 0.905237i | \(-0.639693\pi\) |
0.0896736 | − | 0.995971i | \(-0.471418\pi\) | |||||||
\(90\) | −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 | −0.215190 | − | 0.976572i | \(-0.569037\pi\) |
0.462884 | + | 0.886419i | \(0.346815\pi\) | |||||||
\(98\) | 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 | 0.993214 | − | 0.116302i | \(-0.0371039\pi\) |
−0.973093 | + | 0.230411i | \(0.925993\pi\) | |||||||
\(102\) | 2015.46 | − | 3384.57i | 0.193720 | − | 0.325315i | ||||
\(103\) | −5598.17 | − | 3232.10i | −0.527681 | − | 0.304657i | 0.212391 | − | 0.977185i | \(-0.431875\pi\) |
−0.740072 | + | 0.672528i | \(0.765208\pi\) | |||||||
\(104\) | −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 | −0.774451 | − | 0.632634i | \(-0.781974\pi\) |
0.160651 | + | 0.987011i | \(0.448640\pi\) | |||||||
\(108\) | 2507.56 | − | 6350.76i | 0.214983 | − | 0.544475i | ||||
\(109\) | 10097.2 | + | 8472.52i | 0.849857 | + | 0.713115i | 0.959758 | − | 0.280828i | \(-0.0906089\pi\) |
−0.109901 | + | 0.993943i | \(0.535053\pi\) | |||||||
\(110\) | −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 | −0.666661 | − | 0.745361i | \(-0.732277\pi\) |
−0.371528 | + | 0.928422i | \(0.621166\pi\) | |||||||
\(128\) | −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 | 0.970686 | − | 0.240351i | \(-0.0772624\pi\) |
−0.898083 | + | 0.439826i | \(0.855040\pi\) | |||||||
\(132\) | 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 | −0.935533 | − | 0.353240i | \(-0.885080\pi\) |
0.185420 | + | 0.982659i | \(0.440635\pi\) | |||||||
\(138\) | −9410.26 | − | 1790.53i | −0.494133 | − | 0.0940209i | ||||
\(139\) | 22929.7 | − | 4043.13i | 1.18678 | − | 0.209261i | 0.454802 | − | 0.890592i | \(-0.349710\pi\) |
0.731975 | + | 0.681332i | \(0.238599\pi\) | |||||||
\(140\) | −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 | 0.892798 | + | 0.450457i | \(0.148739\pi\) |
−0.993021 | + | 0.117937i | \(0.962372\pi\) | |||||||
\(150\) | 25325.9 | + | 21840.0i | 1.12560 | + | 0.970669i | ||||
\(151\) | 14282.1i | 0.626381i | 0.949690 | + | 0.313191i | \(0.101398\pi\) | ||||
−0.949690 | + | 0.313191i | \(0.898602\pi\) | |||||||
\(152\) | 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 | 0.834261 | − | 0.551370i | \(-0.185895\pi\) |
−0.398125 | + | 0.917331i | \(0.630339\pi\) | |||||||
\(158\) | −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 | 0.731304 | − | 0.682052i | \(-0.238912\pi\) |
−0.225022 | + | 0.974354i | \(0.572245\pi\) | |||||||
\(164\) | −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 | 0.766015 | − | 0.642822i | \(-0.222237\pi\) |
−0.766074 | + | 0.642753i | \(0.777792\pi\) | |||||||
\(168\) | −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 | −0.681077 | − | 0.732212i | \(-0.738488\pi\) |
−0.0510787 | + | 0.998695i | \(0.516266\pi\) | |||||||
\(174\) | 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 | −0.195674 | − | 0.980669i | \(-0.562690\pi\) |
−0.947121 | + | 0.320876i | \(0.896023\pi\) | |||||||
\(180\) | 6682.82 | − | 5306.94i | 0.206260 | − | 0.163794i | ||||
\(181\) | −12999.6 | − | 4731.48i | −0.396802 | − | 0.144424i | 0.135909 | − | 0.990721i | \(-0.456605\pi\) |
−0.532711 | + | 0.846297i | \(0.678827\pi\) | |||||||
\(182\) | 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 | \(-0.839557\pi\) | ||
0.875635 | − | 0.482973i | \(-0.160443\pi\) | |||||||
\(192\) | 15063.6 | + | 54833.4i | 0.408625 | + | 1.48745i | ||||
\(193\) | 7363.80 | − | 41762.2i | 0.197691 | − | 1.12116i | −0.710842 | − | 0.703351i | \(-0.751686\pi\) |
0.908534 | − | 0.417812i | \(-0.137203\pi\) | |||||||
\(194\) | −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 | −0.991091 | − | 0.133188i | \(-0.957478\pi\) |
0.380201 | − | 0.924904i | \(-0.375855\pi\) | |||||||
\(198\) | −70625.1 | − | 953.083i | −1.80148 | − | 0.0243109i | ||||
\(199\) | −4338.36 | + | 11919.6i | −0.109552 | + | 0.300991i | −0.982339 | − | 0.187110i | \(-0.940088\pi\) |
0.872787 | + | 0.488101i | \(0.162310\pi\) | |||||||
\(200\) | 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 | 0.993151 | − | 0.116840i | \(-0.0372766\pi\) |
−0.835901 | + | 0.548880i | \(0.815054\pi\) | |||||||
\(212\) | 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 | −0.253302 | − | 0.967387i | \(-0.581517\pi\) |
0.996676 | + | 0.0814692i | \(0.0259612\pi\) | |||||||
\(224\) | 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 | \(0.208387\pi\) | ||||
−0.793250 | + | 0.608896i | \(0.791613\pi\) | |||||||
\(228\) | 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 | 0.903264 | − | 0.429086i | \(-0.141164\pi\) |
−0.265717 | + | 0.964051i | \(0.585609\pi\) | |||||||
\(234\) | −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 | −0.170509 | − | 0.985356i | \(-0.554541\pi\) |
−0.938598 | + | 0.345013i | \(0.887875\pi\) | |||||||
\(240\) | −14212.6 | − | 9262.45i | −0.246746 | − | 0.160806i | ||||
\(241\) | −15908.4 | − | 90221.0i | −0.273900 | − | 1.55336i | −0.742434 | − | 0.669919i | \(-0.766329\pi\) |
0.468534 | − | 0.883446i | \(-0.344782\pi\) | |||||||
\(242\) | −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 | 0.880948 | − | 0.473212i | \(-0.156906\pi\) |
−0.618998 | + | 0.785392i | \(0.712461\pi\) | |||||||
\(252\) | 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 | 0.755757 | − | 0.654852i | \(-0.227269\pi\) |
0.158013 | + | 0.987437i | \(0.449491\pi\) | |||||||
\(258\) | −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 | −0.364803 | − | 0.931085i | \(-0.618864\pi\) |
−0.661252 | + | 0.750164i | \(0.729975\pi\) | |||||||
\(264\) | 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 | −0.812158 | − | 0.583438i | \(-0.801707\pi\) |
0.962726 | − | 0.270478i | \(-0.0871817\pi\) | |||||||
\(270\) | −7618.11 | − | 2889.77i | −0.104501 | − | 0.0396401i | ||||
\(271\) | 9707.79 | − | 11569.3i | 0.132185 | − | 0.157532i | −0.695892 | − | 0.718147i | \(-0.744991\pi\) |
0.828077 | + | 0.560615i | \(0.189435\pi\) | |||||||
\(272\) | 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 | −0.707266 | − | 0.706947i | \(-0.750072\pi\) |
0.965867 | + | 0.259037i | \(0.0834052\pi\) | |||||||
\(278\) | −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 | −0.824964 | − | 0.565185i | \(-0.808805\pi\) |
0.413345 | + | 0.910574i | \(0.364360\pi\) | |||||||
\(282\) | 33042.8 | + | 94743.1i | 0.415507 | + | 1.19138i | ||||
\(283\) | 51667.0 | + | 141954.i | 0.645120 | + | 1.77245i | 0.635012 | + | 0.772503i | \(0.280995\pi\) |
0.0101079 | + | 0.999949i | \(0.496782\pi\) | |||||||
\(284\) | −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 | 0.104934 | − | 0.994479i | \(-0.466537\pi\) |
0.808777 | − | 0.588115i | \(-0.200130\pi\) | |||||||
\(294\) | 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 | −0.176663 | − | 0.984271i | \(-0.556530\pi\) |
−0.502650 | + | 0.864490i | \(0.667641\pi\) | |||||||
\(308\) | 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 | −0.989387 | − | 0.145304i | \(-0.953584\pi\) |
−0.368857 | + | 0.929486i | \(0.620251\pi\) | |||||||
\(312\) | −92883.8 | + | 146817.i | −0.954181 | + | 1.50823i | ||||
\(313\) | −84185.2 | − | 30640.9i | −0.859305 | − | 0.312761i | −0.125477 | − | 0.992097i | \(-0.540046\pi\) |
−0.733828 | + | 0.679335i | \(0.762268\pi\) | |||||||
\(314\) | −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 | 0.832708 | + | 0.553712i | \(0.186789\pi\) |
−0.593109 | + | 0.805122i | \(0.702100\pi\) | |||||||
\(318\) | 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 | 0.894148 | − | 0.447771i | \(-0.147782\pi\) |
0.0592928 | + | 0.998241i | \(0.481115\pi\) | |||||||
\(332\) | 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 | 0.854275 | − | 0.519822i | \(-0.174002\pi\) |
−0.363581 | + | 0.931563i | \(0.618446\pi\) | |||||||
\(338\) | 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 | −0.494053 | − | 0.869432i | \(-0.664485\pi\) |
0.942015 | + | 0.335572i | \(0.108930\pi\) | |||||||
\(348\) | −59645.3 | + | 151060.i | −0.492513 | + | 1.24736i | ||||
\(349\) | −11986.9 | − | 20762.0i | −0.0984142 | − | 0.170458i | 0.812614 | − | 0.582802i | \(-0.198044\pi\) |
−0.911028 | + | 0.412344i | \(0.864710\pi\) | |||||||
\(350\) | −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 | −0.696306 | − | 0.717745i | \(-0.745174\pi\) |
0.969739 | + | 0.244146i | \(0.0785075\pi\) | |||||||
\(354\) | −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 | −0.997266 | − | 0.0738940i | \(-0.976457\pi\) |
0.716452 | − | 0.697636i | \(-0.245765\pi\) | |||||||
\(360\) | −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 | −0.336111 | − | 0.941822i | \(-0.609112\pi\) |
0.00628142 | + | 0.999980i | \(0.498001\pi\) | |||||||
\(368\) | −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 | 0.922918 | − | 0.384997i | \(-0.125798\pi\) |
−0.794876 | + | 0.606772i | \(0.792464\pi\) | |||||||
\(374\) | 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 | \(0.0335261\pi\) | ||||
−0.994458 | + | 0.105131i | \(0.966474\pi\) | |||||||
\(380\) | 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 | 0.740530 | − | 0.672024i | \(-0.234575\pi\) |
0.466025 | + | 0.884772i | \(0.345686\pi\) | |||||||
\(384\) | −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 | −0.249837 | − | 0.968288i | \(-0.580377\pi\) |
−0.813790 | + | 0.581159i | \(0.802599\pi\) | |||||||
\(390\) | −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 | −0.534487 | − | 0.845176i | \(-0.679495\pi\) |
0.133828 | + | 0.991005i | \(0.457273\pi\) | |||||||
\(398\) | −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 | −0.0622067 | − | 0.998063i | \(-0.519814\pi\) |
0.593890 | + | 0.804547i | \(0.297592\pi\) | |||||||
\(402\) | −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 | 0.415169 | − | 0.909744i | \(-0.363722\pi\) |
−0.266734 | + | 0.963770i | \(0.585945\pi\) | |||||||
\(410\) | −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 | \(-0.981727\pi\) | ||
0.998353 | − | 0.0573744i | \(-0.0182729\pi\) | |||||||
\(420\) | −18852.2 | + | 92279.4i | −0.106872 | + | 0.523126i | ||||
\(421\) | −42560.5 | + | 241373.i | −0.240128 | + | 1.36183i | 0.591413 | + | 0.806369i | \(0.298570\pi\) |
−0.831541 | + | 0.555464i | \(0.812541\pi\) | |||||||
\(422\) | −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 | 0.410714 | − | 0.911764i | \(-0.365279\pi\) |
0.697787 | + | 0.716305i | \(0.254168\pi\) | |||||||
\(432\) | −106406. | − | 24747.1i | −0.570164 | − | 0.132604i | ||||
\(433\) | 17929.7 | − | 15044.8i | 0.0956305 | − | 0.0802435i | −0.593719 | − | 0.804672i | \(-0.702341\pi\) |
0.689349 | + | 0.724429i | \(0.257896\pi\) | |||||||
\(434\) | −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 | 0.990997 | − | 0.133886i | \(-0.0427457\pi\) |
−0.845208 | + | 0.534438i | \(0.820523\pi\) | |||||||
\(440\) | −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 | −0.998239 | − | 0.0593202i | \(-0.981107\pi\) |
−0.917749 | + | 0.397161i | \(0.869996\pi\) | |||||||
\(444\) | −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 | −0.941060 | − | 0.338241i | \(-0.890168\pi\) |
0.177605 | − | 0.984102i | \(-0.443165\pi\) | |||||||
\(450\) | 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 | 0.921142 | − | 0.389227i | \(-0.127258\pi\) |
−0.223359 | + | 0.974736i | \(0.571702\pi\) | |||||||
\(462\) | 603880. | − | 492984.i | 2.82922 | − | 2.30966i | ||||
\(463\) | 312453. | − | 180395.i | 1.45755 | − | 0.841516i | 0.458657 | − | 0.888613i | \(-0.348331\pi\) |
0.998890 | + | 0.0470976i | \(0.0149972\pi\) | |||||||
\(464\) | 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 | 0.329411 | − | 0.944187i | \(-0.393150\pi\) |
−0.652984 | + | 0.757372i | \(0.726483\pi\) | |||||||
\(468\) | 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 | 0.215634 | − | 0.976474i | \(-0.430818\pi\) |
−0.999084 | + | 0.0427953i | \(0.986374\pi\) | |||||||
\(480\) | 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 | −0.256253 | − | 0.966610i | \(-0.582488\pi\) |
0.708982 | + | 0.705226i | \(0.249155\pi\) | |||||||
\(488\) | 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 | −0.00765821 | − | 0.999971i | \(-0.502438\pi\) |
−0.349206 | + | 0.937046i | \(0.613549\pi\) | |||||||
\(492\) | −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 | 0.0409091 | + | 0.999163i | \(0.486975\pi\) |
−0.991087 | + | 0.133215i | \(0.957470\pi\) | |||||||
\(500\) | −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 | 0.450147 | + | 0.892954i | \(0.351371\pi\) |
−0.918813 | + | 0.394693i | \(0.870851\pi\) | |||||||
\(504\) | −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 | −0.600515 | − | 0.799613i | \(-0.705038\pi\) |
0.683187 | + | 0.730243i | \(0.260593\pi\) | |||||||
\(510\) | 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 | −0.620990 | − | 0.783819i | \(-0.713269\pi\) |
0.989302 | + | 0.145884i | \(0.0466026\pi\) | |||||||
\(522\) | 322562. | − | 52398.7i | 1.18378 | − | 0.192300i | ||||
\(523\) | 62786.5 | − | 172504.i | 0.229542 | − | 0.630662i | −0.770434 | − | 0.637520i | \(-0.779961\pi\) |
0.999976 | + | 0.00685720i | \(0.00218273\pi\) | |||||||
\(524\) | 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 | −0.437255 | − | 0.899337i | \(-0.644049\pi\) |
−0.913040 | + | 0.407870i | \(0.866272\pi\) | |||||||
\(542\) | 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 | 0.580843 | − | 0.814016i | \(-0.302723\pi\) |
−0.902511 | + | 0.430666i | \(0.858279\pi\) | |||||||
\(548\) | 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 | −0.918496 | − | 0.395430i | \(-0.870596\pi\) |
0.727859 | − | 0.685727i | \(-0.240515\pi\) | |||||||
\(558\) | −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 | −0.947131 | − | 0.320848i | \(-0.896032\pi\) |
−0.195703 | + | 0.980663i | \(0.562699\pi\) | |||||||
\(564\) | −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 | \(-0.943393\pi\) | ||
0.984229 | − | 0.176902i | \(-0.0566074\pi\) | |||||||
\(572\) | 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 | −0.949082 | − | 0.315029i | \(-0.897986\pi\) |
0.201718 | − | 0.979444i | \(-0.435348\pi\) | |||||||
\(578\) | 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 | 0.934663 | − | 0.355534i | \(-0.115701\pi\) |
−0.944527 | + | 0.328435i | \(0.893479\pi\) | |||||||
\(588\) | −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 | −0.792190 | − | 0.610275i | \(-0.791059\pi\) |
0.463441 | + | 0.886128i | \(0.346615\pi\) | |||||||
\(594\) | −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 | −0.957867 | − | 0.287213i | \(-0.907271\pi\) |
0.918386 | + | 0.395687i | \(0.129493\pi\) | |||||||
\(600\) | 286074. | − | 452183.i | 0.794649 | − | 1.25606i | ||||
\(601\) | 150495. | + | 260665.i | 0.416651 | + | 0.721661i | 0.995600 | − | 0.0937028i | \(-0.0298704\pi\) |
−0.578949 | + | 0.815364i | \(0.696537\pi\) | |||||||
\(602\) | −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 | \(-0.734738\pi\) | ||
0.672403 | − | 0.740185i | \(-0.265262\pi\) | |||||||
\(608\) | 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 | 0.683761 | − | 0.729706i | \(-0.260343\pi\) |
−0.599886 | + | 0.800085i | \(0.704787\pi\) | |||||||
\(614\) | 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 | 0.381665 | − | 0.924301i | \(-0.375351\pi\) |
−0.301757 | + | 0.953385i | \(0.597573\pi\) | |||||||
\(618\) | 354326. | − | 57558.7i | 0.927741 | − | 0.150707i | ||||
\(619\) | 55265.1 | + | 31907.3i | 0.144235 | + | 0.0832739i | 0.570381 | − | 0.821381i | \(-0.306796\pi\) |
−0.426146 | + | 0.904654i | \(0.640129\pi\) | |||||||
\(620\) | 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 | 0.880641 | − | 0.473784i | \(-0.157112\pi\) |
−0.619508 | + | 0.784991i | \(0.712668\pi\) | |||||||
\(632\) | 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 | 0.0454835 | − | 0.998965i | \(-0.485517\pi\) |
−0.975890 | + | 0.218261i | \(0.929962\pi\) | |||||||
\(642\) | 159820. | − | 421323.i | 0.387758 | − | 1.02222i | ||||
\(643\) | −782765. | − | 138023.i | −1.89326 | − | 0.333832i | −0.898746 | − | 0.438469i | \(-0.855521\pi\) |
−0.994510 | + | 0.104637i | \(0.966632\pi\) | |||||||
\(644\) | −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 | \(-0.952106\pi\) | ||
0.988702 | − | 0.149898i | \(-0.0478944\pi\) | |||||||
\(648\) | −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 | 0.962708 | − | 0.270543i | \(-0.0872031\pi\) |
−0.715651 | + | 0.698458i | \(0.753870\pi\) | |||||||
\(654\) | −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 | −0.103733 | − | 0.994605i | \(-0.533079\pi\) |
0.242698 | + | 0.970102i | \(0.421968\pi\) | |||||||
\(660\) | 158938. | − | 53037.1i | 0.364871 | − | 0.121756i | ||||
\(661\) | 527627. | − | 442732.i | 1.20760 | − | 1.01330i | 0.208223 | − | 0.978081i | \(-0.433232\pi\) |
0.999380 | − | 0.0352177i | \(-0.0112125\pi\) | |||||||
\(662\) | −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 | −0.899225 | − | 0.437487i | \(-0.855869\pi\) |
0.828487 | + | 0.560008i | \(0.189202\pi\) | |||||||
\(674\) | −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 | 0.968822 | − | 0.247759i | \(-0.0796940\pi\) |
−0.698976 | + | 0.715145i | \(0.746361\pi\) | |||||||
\(678\) | −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 | \(0.192548\pi\) | ||||
−0.822555 | + | 0.568685i | \(0.807452\pi\) | |||||||
\(684\) | 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 | −0.607575 | − | 0.794263i | \(-0.707857\pi\) |
0.384064 | + | 0.923306i | \(0.374524\pi\) | |||||||
\(692\) | 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 | −0.820375 | + | 0.571826i | \(0.806235\pi\) |
−0.996006 | + | 0.0892833i | \(0.971542\pi\) | |||||||
\(702\) | −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 | 0.964248 | + | 0.265000i | \(0.0853719\pi\) |
−0.815462 | + | 0.578811i | \(0.803517\pi\) | |||||||
\(710\) | −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 | −0.0936132 | − | 0.995609i | \(-0.529842\pi\) |
−0.428486 | + | 0.903548i | \(0.640953\pi\) | |||||||
\(720\) | −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 | 0.246714 | − | 0.969088i | \(-0.420649\pi\) |
0.911524 | − | 0.411247i | \(-0.134906\pi\) | |||||||
\(728\) | −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 | −0.883185 | − | 0.469026i | \(-0.844605\pi\) |
0.847780 | + | 0.530347i | \(0.177938\pi\) | |||||||
\(734\) | 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 | 0.964405 | − | 0.264428i | \(-0.0851831\pi\) |
−0.908748 | + | 0.417344i | \(0.862961\pi\) | |||||||
\(740\) | −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 | −0.999920 | − | 0.0126566i | \(-0.995971\pi\) |
0.757848 | − | 0.652432i | \(-0.226251\pi\) | |||||||
\(744\) | 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 | −0.868769 | − | 0.495218i | \(-0.835088\pi\) |
0.983835 | + | 0.179075i | \(0.0573104\pi\) | |||||||
\(752\) | −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 | −0.760664 | − | 0.649146i | \(-0.775126\pi\) |
0.936811 | − | 0.349836i | \(-0.113763\pi\) | |||||||
\(758\) | −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 | 0.710329 | − | 0.703870i | \(-0.248546\pi\) |
0.0917044 | + | 0.995786i | \(0.470769\pi\) | |||||||
\(770\) | 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 | 0.803664 | + | 0.595084i | \(0.202881\pi\) |
−0.551666 | + | 0.834065i | \(0.686008\pi\) | |||||||
\(774\) | −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 | 0.644937 | − | 0.764236i | \(-0.276883\pi\) |
−0.339379 | + | 0.940650i | \(0.610217\pi\) | |||||||
\(788\) | −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 | −0.988526 | − | 0.151052i | \(-0.951734\pi\) |
0.625078 | + | 0.780562i | \(0.285067\pi\) | |||||||
\(810\) | 51286.5 | + | 30540.3i | 0.0781687 | + | 0.0465483i | ||||
\(811\) | −980200. | + | 172836.i | −1.49030 | + | 0.262780i | −0.858685 | − | 0.512504i | \(-0.828718\pi\) |
−0.631613 | + | 0.775284i | \(0.717607\pi\) | |||||||
\(812\) | −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 | −0.233684 | − | 0.972313i | \(-0.575078\pi\) |
0.916962 | + | 0.398974i | \(0.130634\pi\) | |||||||
\(822\) | 190773. | − | 1.00262e6i | 0.282340 | − | 1.48385i | ||||
\(823\) | 764781. | − | 134851.i | 1.12911 | − | 0.199093i | 0.422274 | − | 0.906468i | \(-0.361232\pi\) |
0.706838 | + | 0.707375i | \(0.250121\pi\) | |||||||
\(824\) | −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 | 0.744213 | + | 0.667942i | \(0.232825\pi\) |
−0.999445 | + | 0.0333021i | \(0.989398\pi\) | |||||||
\(828\) | 271139. | − | 146933.i | 0.395486 | − | 0.214318i | ||||
\(829\) | −239722. | − | 415211.i | −0.348819 | − | 0.604171i | 0.637221 | − | 0.770681i | \(-0.280084\pi\) |
−0.986040 | + | 0.166509i | \(0.946750\pi\) | |||||||
\(830\) | 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 | 0.825646 | − | 0.564188i | \(-0.190811\pi\) |
0.582890 | + | 0.812551i | \(0.301922\pi\) | |||||||
\(840\) | −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 | −0.649981 | − | 0.759950i | \(-0.725223\pi\) |
−0.00942794 | + | 0.999956i | \(0.503001\pi\) | |||||||
\(854\) | −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 | −0.976091 | − | 0.217363i | \(-0.930255\pi\) |
−0.608011 | + | 0.793929i | \(0.708032\pi\) | |||||||
\(858\) | −565065. | − | 1.62020e6i | −0.767580 | − | 2.20087i | ||||
\(859\) | 355917. | + | 424166.i | 0.482350 | + | 0.574843i | 0.951255 | − | 0.308406i | \(-0.0997956\pi\) |
−0.468904 | + | 0.883249i | \(0.655351\pi\) | |||||||
\(860\) | −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 | 0.554193 | − | 0.832388i | \(-0.313027\pi\) |
−0.443773 | + | 0.896139i | \(0.646360\pi\) | |||||||
\(864\) | 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 | −0.758192 | − | 0.652031i | \(-0.773917\pi\) |
0.935475 | − | 0.353392i | \(-0.114972\pi\) | |||||||
\(878\) | −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 | −0.988296 | − | 0.152547i | \(-0.951252\pi\) |
0.362038 | − | 0.932163i | \(-0.382081\pi\) | |||||||
\(882\) | −33110.6 | + | 2.45355e6i | −0.0425628 | + | 3.15398i | ||||
\(883\) | 192146. | − | 527917.i | 0.246439 | − | 0.677087i | −0.753371 | − | 0.657596i | \(-0.771573\pi\) |
0.999810 | − | 0.0194905i | \(-0.00620441\pi\) | |||||||
\(884\) | −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 | −0.277673 | − | 0.960676i | \(-0.589563\pi\) |
0.0676428 | + | 0.997710i | \(0.478452\pi\) | |||||||
\(888\) | −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 | −0.522900 | − | 0.852394i | \(-0.675150\pi\) |
0.930245 | + | 0.366939i | \(0.119594\pi\) | |||||||
\(908\) | 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 | \(-0.822712\pi\) | ||
0.848863 | − | 0.528613i | \(-0.177288\pi\) | |||||||
\(912\) | −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 | −0.598679 | − | 0.800989i | \(-0.704308\pi\) |
0.394337 | + | 0.918966i | \(0.370974\pi\) | |||||||
\(920\) | −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 | −0.751256 | − | 0.660011i | \(-0.770552\pi\) |
−0.151248 | + | 0.988496i | \(0.548329\pi\) | |||||||
\(930\) | −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 | 0.979618 | − | 0.200870i | \(-0.0643767\pi\) |
−0.989241 | + | 0.146293i | \(0.953266\pi\) | |||||||
\(938\) | 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 | 0.444404 | − | 0.895827i | \(-0.353416\pi\) |
−0.235393 | + | 0.971900i | \(0.575638\pi\) | |||||||
\(942\) | −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 | 0.922788 | − | 0.385308i | \(-0.125905\pi\) |
0.735354 | + | 0.677683i | \(0.237016\pi\) | |||||||
\(948\) | 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 | −0.955658 | − | 0.294480i | \(-0.904854\pi\) |
0.998743 | + | 0.0501334i | \(0.0159646\pi\) | |||||||
\(954\) | 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 | 0.944942 | + | 0.327238i | \(0.106118\pi\) |
−0.513523 | + | 0.858076i | \(0.671660\pi\) | |||||||
\(968\) | −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 | 0.995183 | + | 0.0980349i | \(0.0312557\pi\) |
−0.699339 | + | 0.714790i | \(0.746522\pi\) | |||||||
\(972\) | −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 | 0.444821 | + | 0.895620i | \(0.353267\pi\) |
−0.998040 | + | 0.0625839i | \(0.980066\pi\) | |||||||
\(978\) | −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 | −0.697015 | − | 0.717057i | \(-0.745489\pi\) |
0.827198 | + | 0.561910i | \(0.189933\pi\) | |||||||
\(984\) | 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 | −0.0360156 | − | 0.999351i | \(-0.511467\pi\) |
−0.375642 | + | 0.926765i | \(0.622578\pi\) | |||||||
\(992\) | −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 | 0.719898 | − | 0.694080i | \(-0.244188\pi\) |
0.105328 | + | 0.994438i | \(0.466411\pi\) | |||||||
\(998\) | −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.43.12 | yes | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.43.3 | yes | 228 | |
19.4 | even | 9 | inner | 76.5.l.a.23.3 | ✓ | 228 | |
76.23 | odd | 18 | inner | 76.5.l.a.23.12 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.3 | ✓ | 228 | 19.4 | even | 9 | inner | |
76.5.l.a.23.12 | yes | 228 | 76.23 | odd | 18 | inner | |
76.5.l.a.43.3 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.12 | yes | 228 | 1.1 | even | 1 | trivial |