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 | 23.3 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.94825 | + | 0.641375i | −0.987061 | + | 0.160344i | ||||
\(3\) | −13.6721 | + | 2.41076i | −1.51912 | + | 0.267862i | −0.870088 | − | 0.492896i | \(-0.835938\pi\) |
−0.649035 | + | 0.760758i | \(0.724827\pi\) | |||||||
\(4\) | 15.1773 | − | 5.06461i | 0.948580 | − | 0.316538i | ||||
\(5\) | 3.65652 | − | 3.06818i | 0.146261 | − | 0.122727i | −0.566722 | − | 0.823909i | \(-0.691788\pi\) |
0.712982 | + | 0.701182i | \(0.247344\pi\) | |||||||
\(6\) | 52.4346 | − | 18.2872i | 1.45652 | − | 0.507978i | ||||
\(7\) | 76.9302 | + | 44.4157i | 1.57000 | + | 0.906442i | 0.996167 | + | 0.0874725i | \(0.0278790\pi\) |
0.573837 | + | 0.818970i | \(0.305454\pi\) | |||||||
\(8\) | −56.6753 | + | 29.7306i | −0.885552 | + | 0.464541i | ||||
\(9\) | 105.000 | − | 38.2168i | 1.29629 | − | 0.471812i | ||||
\(10\) | −12.4690 | + | 14.4591i | −0.124690 | + | 0.144591i | ||||
\(11\) | −136.857 | + | 79.0144i | −1.13105 | + | 0.653011i | −0.944198 | − | 0.329377i | \(-0.893161\pi\) |
−0.186850 | + | 0.982388i | \(0.559828\pi\) | |||||||
\(12\) | −195.296 | + | 105.833i | −1.35622 | + | 0.734949i | ||||
\(13\) | 33.9535 | − | 192.560i | 0.200908 | − | 1.13941i | −0.702841 | − | 0.711347i | \(-0.748086\pi\) |
0.903750 | − | 0.428061i | \(-0.140803\pi\) | |||||||
\(14\) | −332.226 | − | 126.023i | −1.69503 | − | 0.642974i | ||||
\(15\) | −42.5956 | + | 50.7635i | −0.189314 | + | 0.225616i | ||||
\(16\) | 204.699 | − | 153.734i | 0.799607 | − | 0.600523i | ||||
\(17\) | −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 | ||||
\(22\) | 489.667 | − | 399.745i | 1.01171 | − | 0.825919i | ||||
\(23\) | −110.879 | + | 132.140i | −0.209600 | + | 0.249792i | −0.860595 | − | 0.509291i | \(-0.829908\pi\) |
0.650994 | + | 0.759083i | \(0.274352\pi\) | |||||||
\(24\) | 703.198 | − | 543.111i | 1.22083 | − | 0.942901i | ||||
\(25\) | −104.574 | + | 593.067i | −0.167318 | + | 0.948907i | ||||
\(26\) | −10.5537 | + | 782.051i | −0.0156120 | + | 1.15688i | ||||
\(27\) | −369.570 | + | 213.371i | −0.506955 | + | 0.292690i | ||||
\(28\) | 1392.54 | + | 284.488i | 1.77620 | + | 0.362867i | ||||
\(29\) | −687.056 | + | 250.068i | −0.816951 | + | 0.297346i | −0.716492 | − | 0.697595i | \(-0.754253\pi\) |
−0.100459 | + | 0.994941i | \(0.532031\pi\) | |||||||
\(30\) | 135.620 | − | 227.747i | 0.150688 | − | 0.253052i | ||||
\(31\) | −701.660 | − | 405.104i | −0.730136 | − | 0.421544i | 0.0883362 | − | 0.996091i | \(-0.471845\pi\) |
−0.818472 | + | 0.574547i | \(0.805178\pi\) | |||||||
\(32\) | −709.603 | + | 738.268i | −0.692971 | + | 0.720965i | ||||
\(33\) | 1680.64 | − | 1410.22i | 1.54329 | − | 1.29497i | ||||
\(34\) | 278.742 | + | 53.0376i | 0.241127 | + | 0.0458803i | ||||
\(35\) | 417.572 | − | 73.6292i | 0.340875 | − | 0.0601054i | ||||
\(36\) | 1400.06 | − | 1111.81i | 1.08029 | − | 0.857878i | ||||
\(37\) | −665.757 | −0.486309 | −0.243155 | − | 0.969988i | \(-0.578182\pi\) | ||||
−0.243155 | + | 0.969988i | \(0.578182\pi\) | |||||||
\(38\) | 1010.34 | − | 1031.67i | 0.699681 | − | 0.714456i | ||||
\(39\) | 2714.56i | 1.78472i | ||||||||
\(40\) | −116.015 | + | 282.601i | −0.0725095 | + | 0.176625i | ||||
\(41\) | 26.5664 | + | 150.666i | 0.0158039 | + | 0.0896286i | 0.991690 | − | 0.128654i | \(-0.0410657\pi\) |
−0.975886 | + | 0.218283i | \(0.929955\pi\) | |||||||
\(42\) | 4846.05 | + | 922.080i | 2.74719 | + | 0.522721i | ||||
\(43\) | −1917.80 | − | 2285.55i | −1.03721 | − | 1.23610i | −0.971196 | − | 0.238282i | \(-0.923416\pi\) |
−0.0660157 | − | 0.997819i | \(-0.521029\pi\) | |||||||
\(44\) | −1676.94 | + | 1892.35i | −0.866187 | + | 0.977453i | ||||
\(45\) | 266.677 | − | 461.899i | 0.131693 | − | 0.228098i | ||||
\(46\) | 353.025 | − | 592.836i | 0.166836 | − | 0.280168i | ||||
\(47\) | −617.989 | − | 1697.91i | −0.279760 | − | 0.768633i | −0.997390 | − | 0.0722086i | \(-0.976995\pi\) |
0.717630 | − | 0.696425i | \(-0.245227\pi\) | |||||||
\(48\) | −2428.06 | + | 2595.35i | −1.05384 | + | 1.12645i | ||||
\(49\) | 2745.00 | + | 4754.48i | 1.14327 | + | 1.98021i | ||||
\(50\) | 32.5046 | − | 2408.65i | 0.0130018 | − | 0.963458i | ||||
\(51\) | 969.843 | + | 171.009i | 0.372873 | + | 0.0657476i | ||||
\(52\) | −459.919 | − | 3094.50i | −0.170088 | − | 1.14441i | ||||
\(53\) | −1930.46 | − | 1619.85i | −0.687243 | − | 0.576665i | 0.230870 | − | 0.972985i | \(-0.425843\pi\) |
−0.918113 | + | 0.396320i | \(0.870287\pi\) | |||||||
\(54\) | 1322.30 | − | 1079.47i | 0.453464 | − | 0.370190i | ||||
\(55\) | −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 | \(0.292568\pi\) |
−0.975679 | + | 0.219202i | \(0.929655\pi\) | |||||||
\(60\) | −389.389 | + | 986.182i | −0.108164 | + | 0.273939i | ||||
\(61\) | 996.613 | + | 836.257i | 0.267835 | + | 0.224740i | 0.766807 | − | 0.641878i | \(-0.221845\pi\) |
−0.498972 | + | 0.866618i | \(0.666289\pi\) | |||||||
\(62\) | 3030.15 | + | 1149.42i | 0.788280 | + | 0.299017i | ||||
\(63\) | 9775.08 | + | 1723.61i | 2.46286 | + | 0.434268i | ||||
\(64\) | 2328.18 | − | 3369.98i | 0.568403 | − | 0.822750i | ||||
\(65\) | −466.657 | − | 808.274i | −0.110451 | − | 0.191308i | ||||
\(66\) | −5731.09 | + | 6645.82i | −1.31568 | + | 1.52567i | ||||
\(67\) | 1854.32 | + | 5094.70i | 0.413081 | + | 1.13493i | 0.955543 | + | 0.294850i | \(0.0952697\pi\) |
−0.542463 | + | 0.840080i | \(0.682508\pi\) | |||||||
\(68\) | −1134.56 | − | 30.6273i | −0.245363 | − | 0.00662354i | ||||
\(69\) | 1197.39 | − | 2073.93i | 0.251499 | − | 0.435609i | ||||
\(70\) | −1601.45 | + | 558.526i | −0.326827 | + | 0.113985i | ||||
\(71\) | −4946.19 | − | 5894.64i | −0.981193 | − | 1.16934i | −0.985556 | − | 0.169350i | \(-0.945833\pi\) |
0.00436316 | − | 0.999990i | \(-0.498611\pi\) | |||||||
\(72\) | −4814.68 | + | 5287.66i | −0.928759 | + | 1.02000i | ||||
\(73\) | −224.644 | − | 1274.02i | −0.0421549 | − | 0.239072i | 0.956449 | − | 0.291900i | \(-0.0942876\pi\) |
−0.998604 | + | 0.0528280i | \(0.983176\pi\) | |||||||
\(74\) | 2628.57 | − | 427.000i | 0.480017 | − | 0.0779766i | ||||
\(75\) | − | 8360.58i | − | 1.48633i | ||||||
\(76\) | −3327.38 | + | 4721.31i | −0.576069 | + | 0.817401i | ||||
\(77\) | −14037.9 | −2.36767 | ||||||||
\(78\) | −1741.05 | − | 10717.7i | −0.286168 | − | 1.76163i | ||||
\(79\) | −11451.9 | + | 2019.27i | −1.83494 | + | 0.323550i | −0.980579 | − | 0.196127i | \(-0.937164\pi\) |
−0.854363 | + | 0.519676i | \(0.826052\pi\) | |||||||
\(80\) | 276.803 | − | 1190.19i | 0.0432505 | − | 0.185967i | ||||
\(81\) | −2394.91 | + | 2009.57i | −0.365022 | + | 0.306290i | ||||
\(82\) | −201.524 | − | 577.826i | −0.0299708 | − | 0.0859349i | ||||
\(83\) | 1288.51 | + | 743.921i | 0.187039 | + | 0.107987i | 0.590596 | − | 0.806968i | \(-0.298893\pi\) |
−0.403557 | + | 0.914955i | \(0.632226\pi\) | |||||||
\(84\) | −19724.8 | − | 532.467i | −2.79546 | − | 0.0754630i | ||||
\(85\) | −318.174 | + | 115.806i | −0.0440380 | + | 0.0160285i | ||||
\(86\) | 9037.86 | + | 7793.88i | 1.22199 | + | 1.05380i | ||||
\(87\) | 8790.65 | − | 5075.29i | 1.16140 | − | 0.670536i | ||||
\(88\) | 5407.26 | − | 8547.00i | 0.698251 | − | 1.10369i | ||||
\(89\) | −2655.39 | + | 15059.5i | −0.335234 | + | 1.90121i | 0.0896736 | + | 0.995971i | \(0.471418\pi\) |
−0.424908 | + | 0.905237i | \(0.639693\pi\) | |||||||
\(90\) | −756.657 | + | 1994.73i | −0.0934145 | + | 0.246263i | ||||
\(91\) | 11164.7 | − | 13305.6i | 1.34823 | − | 1.60676i | ||||
\(92\) | −1013.60 | + | 2567.08i | −0.119754 | + | 0.303294i | ||||
\(93\) | 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 | \(0.569037\pi\) | |||||||
\(98\) | −13887.3 | − | 17011.3i | −1.44600 | − | 1.77127i | ||||
\(99\) | −11350.3 | + | 13526.7i | −1.15807 | + | 1.38014i | ||||
\(100\) | 1416.51 | + | 9530.77i | 0.141651 | + | 0.953077i | ||||
\(101\) | 205.251 | − | 1164.03i | 0.0201206 | − | 0.114110i | −0.973093 | − | 0.230411i | \(-0.925993\pi\) |
0.993214 | + | 0.116302i | \(0.0371039\pi\) | |||||||
\(102\) | −3938.86 | − | 53.1547i | −0.378591 | − | 0.00510907i | ||||
\(103\) | 5598.17 | − | 3232.10i | 0.527681 | − | 0.304657i | −0.212391 | − | 0.977185i | \(-0.568125\pi\) |
0.740072 | + | 0.672528i | \(0.234792\pi\) | |||||||
\(104\) | 3800.60 | + | 11922.9i | 0.351387 | + | 1.10233i | ||||
\(105\) | −5531.59 | + | 2013.33i | −0.501731 | + | 0.182615i | ||||
\(106\) | 8660.88 | + | 5157.42i | 0.770815 | + | 0.459009i | ||||
\(107\) | 7027.39 | + | 4057.27i | 0.613800 | + | 0.354377i | 0.774451 | − | 0.632634i | \(-0.218026\pi\) |
−0.160651 | + | 0.987011i | \(0.551360\pi\) | |||||||
\(108\) | −4528.42 | + | 5110.12i | −0.388239 | + | 0.438111i | ||||
\(109\) | 10097.2 | − | 8472.52i | 0.849857 | − | 0.713115i | −0.109901 | − | 0.993943i | \(-0.535053\pi\) |
0.959758 | + | 0.280828i | \(0.0906089\pi\) | |||||||
\(110\) | 563.985 | − | 2964.06i | 0.0466104 | − | 0.244964i | ||||
\(111\) | 9102.31 | − | 1604.98i | 0.738764 | − | 0.130264i | ||||
\(112\) | 22575.8 | − | 2734.91i | 1.79973 | − | 0.218026i | ||||
\(113\) | 11087.0 | 0.868276 | 0.434138 | − | 0.900846i | \(-0.357053\pi\) | ||||
0.434138 | + | 0.900846i | \(0.357053\pi\) | |||||||
\(114\) | −11326.3 | + | 16540.8i | −0.871526 | + | 1.27276i | ||||
\(115\) | 823.368i | 0.0622584i | ||||||||
\(116\) | −9161.15 | + | 7275.02i | −0.680822 | + | 0.540653i | ||||
\(117\) | −3793.91 | − | 21516.4i | −0.277151 | − | 1.57180i | ||||
\(118\) | 2809.26 | − | 14764.3i | 0.201757 | − | 1.06035i | ||||
\(119\) | −4050.41 | − | 4827.09i | −0.286026 | − | 0.340872i | ||||
\(120\) | 904.890 | − | 4143.43i | 0.0628396 | − | 0.287738i | ||||
\(121\) | 5166.04 | − | 8947.84i | 0.352847 | − | 0.611150i | ||||
\(122\) | −4471.23 | − | 2662.55i | −0.300405 | − | 0.178887i | ||||
\(123\) | −726.438 | − | 1995.87i | −0.0480163 | − | 0.131924i | ||||
\(124\) | −12701.0 | − | 2594.74i | −0.826027 | − | 0.168752i | ||||
\(125\) | 2928.90 | + | 5073.00i | 0.187450 | + | 0.324672i | ||||
\(126\) | −39699.9 | − | 535.748i | −2.50062 | − | 0.0337458i | ||||
\(127\) | 16745.0 | + | 2952.59i | 1.03819 | + | 0.183061i | 0.666661 | − | 0.745361i | \(-0.267723\pi\) |
0.371528 | + | 0.928422i | \(0.378834\pi\) | |||||||
\(128\) | −7030.80 | + | 14798.8i | −0.429126 | + | 0.903245i | ||||
\(129\) | 31730.4 | + | 26624.9i | 1.90676 | + | 1.59996i | ||||
\(130\) | 2360.88 | + | 2891.96i | 0.139697 | + | 0.171122i | ||||
\(131\) | −1245.94 | + | 3423.20i | −0.0726031 | + | 0.199475i | −0.970686 | − | 0.240351i | \(-0.922738\pi\) |
0.898083 | + | 0.439826i | \(0.144960\pi\) | |||||||
\(132\) | 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 | ||||
\(136\) | 4499.16 | − | 606.754i | 0.243251 | − | 0.0328046i | ||||
\(137\) | −14078.9 | − | 11813.6i | −0.750112 | − | 0.629419i | 0.185420 | − | 0.982659i | \(-0.440635\pi\) |
−0.935533 | + | 0.353240i | \(0.885080\pi\) | |||||||
\(138\) | −3397.41 | + | 8956.37i | −0.178398 | + | 0.470299i | ||||
\(139\) | −22929.7 | − | 4043.13i | −1.18678 | − | 0.209261i | −0.454802 | − | 0.890592i | \(-0.650290\pi\) |
−0.731975 | + | 0.681332i | \(0.761401\pi\) | |||||||
\(140\) | 5964.70 | − | 3232.33i | 0.304321 | − | 0.164915i | ||||
\(141\) | 12542.5 | + | 21724.2i | 0.630878 | + | 1.09271i | ||||
\(142\) | 23309.5 | + | 20101.1i | 1.15599 | + | 0.996882i | ||||
\(143\) | 10568.2 | + | 29036.0i | 0.516809 | + | 1.41992i | ||||
\(144\) | 15618.2 | − | 23965.0i | 0.753192 | − | 1.15572i | ||||
\(145\) | −1744.98 | + | 3022.39i | −0.0829954 | + | 0.143752i | ||||
\(146\) | 1704.07 | + | 4886.05i | 0.0799432 | + | 0.229220i | ||||
\(147\) | −48991.9 | − | 58386.3i | −2.26720 | − | 2.70194i | ||||
\(148\) | −10104.4 | + | 3371.80i | −0.461303 | + | 0.153935i | ||||
\(149\) | −2225.05 | − | 12618.9i | −0.100223 | − | 0.568394i | −0.993021 | − | 0.117937i | \(-0.962372\pi\) |
0.892798 | − | 0.450457i | \(-0.148739\pi\) | |||||||
\(150\) | 5362.27 | + | 33009.6i | 0.238323 | + | 1.46709i | ||||
\(151\) | 14282.1i | 0.626381i | 0.949690 | + | 0.313191i | \(0.101398\pi\) | ||||
−0.949690 | + | 0.313191i | \(0.898602\pi\) | |||||||
\(152\) | 10109.2 | − | 20775.0i | 0.437551 | − | 0.899194i | ||||
\(153\) | −7926.26 | −0.338599 | ||||||||
\(154\) | 55425.1 | − | 9003.55i | 2.33703 | − | 0.379640i | ||||
\(155\) | −3808.56 | + | 671.553i | −0.158525 | + | 0.0279522i | ||||
\(156\) | 13748.2 | + | 41199.6i | 0.564931 | + | 1.69295i | ||||
\(157\) | 10750.3 | − | 9020.58i | 0.436136 | − | 0.365961i | −0.398125 | − | 0.917331i | \(-0.630339\pi\) |
0.834261 | + | 0.551370i | \(0.185895\pi\) | |||||||
\(158\) | 43919.7 | − | 15317.5i | 1.75932 | − | 0.613585i | ||||
\(159\) | 30298.6 | + | 17492.9i | 1.19847 | + | 0.691939i | ||||
\(160\) | −329.533 | + | 4876.68i | −0.0128724 | + | 0.190495i | ||||
\(161\) | −14399.0 | + | 5240.81i | −0.555495 | + | 0.202184i | ||||
\(162\) | 8166.81 | − | 9470.31i | 0.311188 | − | 0.360856i | ||||
\(163\) | −13451.4 | + | 7766.17i | −0.506282 | + | 0.292302i | −0.731304 | − | 0.682052i | \(-0.761088\pi\) |
0.225022 | + | 0.974354i | \(0.427755\pi\) | |||||||
\(164\) | 1166.27 | + | 2152.15i | 0.0433622 | + | 0.0800174i | ||||
\(165\) | 1818.46 | − | 10313.0i | 0.0667938 | − | 0.378806i | ||||
\(166\) | −5564.48 | − | 2110.77i | −0.201934 | − | 0.0765992i | ||||
\(167\) | 1.63239 | − | 1.94541i | 5.85317e−5 | − | 6.97554e-5i | −0.766015 | − | 0.642822i | \(-0.777763\pi\) |
0.766074 | + | 0.642753i | \(0.222208\pi\) | |||||||
\(168\) | 78219.8 | − | 10548.7i | 2.77139 | − | 0.373748i | ||||
\(169\) | −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 | \(0.738488\pi\) | |||||||
\(174\) | −31452.5 | + | 25676.6i | −1.03886 | + | 0.848084i | ||||
\(175\) | −34386.3 | + | 40980.1i | −1.12282 | + | 1.33812i | ||||
\(176\) | −15867.3 | + | 37213.7i | −0.512247 | + | 1.20137i | ||||
\(177\) | 9057.92 | − | 51370.0i | 0.289123 | − | 1.63970i | ||||
\(178\) | 825.373 | − | 61161.6i | 0.0260501 | − | 1.93036i | ||||
\(179\) | 36616.3 | − | 21140.4i | 1.14280 | − | 0.659793i | 0.195674 | − | 0.980669i | \(-0.437310\pi\) |
0.947121 | + | 0.320876i | \(0.103977\pi\) | |||||||
\(180\) | 1708.10 | − | 8360.98i | 0.0527191 | − | 0.258055i | ||||
\(181\) | −12999.6 | + | 4731.48i | −0.396802 | + | 0.144424i | −0.532711 | − | 0.846297i | \(-0.678827\pi\) |
0.135909 | + | 0.990721i | \(0.456605\pi\) | |||||||
\(182\) | −35547.2 | + | 59694.6i | −1.07316 | + | 1.80215i | ||||
\(183\) | −15641.8 | − | 9030.81i | −0.467073 | − | 0.269665i | ||||
\(184\) | 2355.47 | − | 10785.6i | 0.0695733 | − | 0.318572i | ||||
\(185\) | −2434.35 | + | 2042.66i | −0.0711279 | + | 0.0596834i | ||||
\(186\) | −44199.5 | − | 8410.05i | −1.27759 | − | 0.243093i | ||||
\(187\) | 11039.6 | − | 1946.58i | 0.315697 | − | 0.0556658i | ||||
\(188\) | −17978.6 | − | 22639.8i | −0.508676 | − | 0.640556i | ||||
\(189\) | −37908.1 | −1.06123 | ||||||||
\(190\) | 528.959 | − | 6872.24i | 0.0146526 | − | 0.190367i | ||||
\(191\) | − | 35238.7i | − | 0.965946i | −0.875635 | − | 0.482973i | \(-0.839557\pi\) | ||
0.875635 | − | 0.482973i | \(-0.160443\pi\) | |||||||
\(192\) | −23706.9 | + | 51687.5i | −0.643091 | + | 1.40211i | ||||
\(193\) | 7363.80 | + | 41762.2i | 0.197691 | + | 1.12116i | 0.908534 | + | 0.417812i | \(0.137203\pi\) |
−0.710842 | + | 0.703351i | \(0.751686\pi\) | |||||||
\(194\) | −9745.65 | − | 1854.35i | −0.258945 | − | 0.0492706i | ||||
\(195\) | 8328.75 | + | 9925.82i | 0.219034 | + | 0.261034i | ||||
\(196\) | 65741.3 | + | 58257.8i | 1.71130 | + | 1.51650i | ||||
\(197\) | −23708.0 | + | 41063.5i | −0.610890 | + | 1.05809i | 0.380201 | + | 0.924904i | \(0.375855\pi\) |
−0.991091 | + | 0.133188i | \(0.957478\pi\) | |||||||
\(198\) | 36137.9 | − | 60686.6i | 0.921792 | − | 1.54797i | ||||
\(199\) | 4338.36 | + | 11919.6i | 0.109552 | + | 0.300991i | 0.982339 | − | 0.187110i | \(-0.0599120\pi\) |
−0.872787 | + | 0.488101i | \(0.837690\pi\) | |||||||
\(200\) | −11705.5 | − | 36721.3i | −0.292638 | − | 0.918033i | ||||
\(201\) | −37634.6 | − | 65185.0i | −0.931526 | − | 1.61345i | ||||
\(202\) | −63.7979 | + | 4727.54i | −0.00156352 | + | 0.115860i | ||||
\(203\) | −63962.3 | − | 11278.3i | −1.55214 | − | 0.273685i | ||||
\(204\) | 15585.7 | − | 2316.42i | 0.374511 | − | 0.0556617i | ||||
\(205\) | 559.410 | + | 469.401i | 0.0133114 | + | 0.0111696i | ||||
\(206\) | −20029.9 | + | 16351.7i | −0.472004 | + | 0.385325i | ||||
\(207\) | −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 | \(-0.962723\pi\) |
0.835901 | + | 0.548880i | \(0.184946\pi\) | |||||||
\(212\) | −37503.1 | − | 14807.9i | −0.834441 | − | 0.329474i | ||||
\(213\) | 81835.5 | + | 68668.1i | 1.80378 | + | 1.51355i | ||||
\(214\) | −30348.1 | − | 11511.9i | −0.662680 | − | 0.251373i | ||||
\(215\) | −14025.0 | − | 2472.98i | −0.303407 | − | 0.0534988i | ||||
\(216\) | 14601.8 | − | 23080.4i | 0.312968 | − | 0.494694i | ||||
\(217\) | −35985.9 | − | 62329.4i | −0.764210 | − | 1.32365i | ||||
\(218\) | −34432.0 | + | 39927.6i | −0.724518 | + | 0.840157i | ||||
\(219\) | 6142.70 | + | 16876.9i | 0.128077 | + | 0.351889i | ||||
\(220\) | −325.681 | + | 12064.6i | −0.00672894 | + | 0.249268i | ||||
\(221\) | −6935.06 | + | 12011.9i | −0.141993 | + | 0.245938i | ||||
\(222\) | −34908.7 | + | 12174.9i | −0.708318 | + | 0.247035i | ||||
\(223\) | −36967.2 | − | 44055.8i | −0.743373 | − | 0.885918i | 0.253302 | − | 0.967387i | \(-0.418483\pi\) |
−0.996676 | + | 0.0814692i | \(0.974039\pi\) | |||||||
\(224\) | −87380.5 | + | 25277.6i | −1.74148 | + | 0.503779i | ||||
\(225\) | 11684.9 | + | 66268.4i | 0.230813 | + | 1.30901i | ||||
\(226\) | −43774.2 | + | 7110.93i | −0.857041 | + | 0.139223i | ||||
\(227\) | 62751.6i | 1.21779i | 0.793250 | + | 0.608896i | \(0.208387\pi\) | ||||
−0.793250 | + | 0.608896i | \(0.791613\pi\) | |||||||
\(228\) | 34110.3 | − | 72571.8i | 0.656170 | − | 1.39604i | ||||
\(229\) | 16523.5 | 0.315087 | 0.157544 | − | 0.987512i | \(-0.449642\pi\) | ||||
0.157544 | + | 0.987512i | \(0.449642\pi\) | |||||||
\(230\) | −528.087 | − | 3250.86i | −0.00998274 | − | 0.0614529i | ||||
\(231\) | 191928. | − | 33842.0i | 3.59678 | − | 0.634209i | ||||
\(232\) | 31504.4 | − | 34599.3i | 0.585323 | − | 0.642823i | ||||
\(233\) | 34611.7 | − | 29042.7i | 0.637546 | − | 0.534965i | −0.265717 | − | 0.964051i | \(-0.585609\pi\) |
0.903264 | + | 0.429086i | \(0.141164\pi\) | |||||||
\(234\) | 28779.3 | + | 82518.5i | 0.525592 | + | 1.50702i | ||||
\(235\) | −7469.19 | − | 4312.34i | −0.135250 | − | 0.0780867i | ||||
\(236\) | −1622.25 | + | 60094.7i | −0.0291268 | + | 1.07898i | ||||
\(237\) | 151703. | − | 55215.5i | 2.70084 | − | 0.983024i | ||||
\(238\) | 19088.0 | + | 16460.7i | 0.336982 | + | 0.290600i | ||||
\(239\) | 63353.3 | − | 36577.0i | 1.10911 | − | 0.640343i | 0.170509 | − | 0.985356i | \(-0.445459\pi\) |
0.938598 | + | 0.345013i | \(0.112125\pi\) | |||||||
\(240\) | −915.233 | + | 16939.7i | −0.0158895 | + | 0.294091i | ||||
\(241\) | −15908.4 | + | 90221.0i | −0.273900 | + | 1.55336i | 0.468534 | + | 0.883446i | \(0.344782\pi\) |
−0.742434 | + | 0.669919i | \(0.766329\pi\) | |||||||
\(242\) | −14657.9 | + | 38641.6i | −0.250288 | + | 0.659819i | ||||
\(243\) | 50117.6 | − | 59727.8i | 0.848746 | − | 1.01150i | ||||
\(244\) | 19361.2 | + | 7644.66i | 0.325201 | + | 0.128404i | ||||
\(245\) | 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 | ||||
\(250\) | −14817.7 | − | 18150.9i | −0.237083 | − | 0.290415i | ||||
\(251\) | −16503.1 | + | 19667.7i | −0.261950 | + | 0.312180i | −0.880948 | − | 0.473212i | \(-0.843094\pi\) |
0.618998 | + | 0.785392i | \(0.287539\pi\) | |||||||
\(252\) | 157088. | − | 23347.2i | 2.47368 | − | 0.367650i | ||||
\(253\) | 4733.54 | − | 26845.3i | 0.0739512 | − | 0.419398i | ||||
\(254\) | −68006.9 | − | 917.750i | −1.05411 | − | 0.0142252i | ||||
\(255\) | 4070.93 | − | 2350.35i | 0.0626057 | − | 0.0361454i | ||||
\(256\) | 18267.8 | − | 62938.5i | 0.278744 | − | 0.960365i | ||||
\(257\) | 60353.6 | − | 21966.9i | 0.913770 | − | 0.332585i | 0.158013 | − | 0.987437i | \(-0.449491\pi\) |
0.755757 | + | 0.654852i | \(0.227269\pi\) | |||||||
\(258\) | −142356. | − | 84770.7i | −2.13863 | − | 1.27352i | ||||
\(259\) | −51216.8 | − | 29570.1i | −0.763507 | − | 0.440811i | ||||
\(260\) | −11176.2 | − | 9903.97i | −0.165328 | − | 0.146508i | ||||
\(261\) | −62583.9 | + | 52514.2i | −0.918717 | + | 0.770895i | ||||
\(262\) | 2723.73 | − | 14314.7i | 0.0396791 | − | 0.208536i | ||||
\(263\) | 70971.2 | − | 12514.1i | 1.02605 | − | 0.180921i | 0.364803 | − | 0.931085i | \(-0.381136\pi\) |
0.661252 | + | 0.750164i | \(0.270025\pi\) | |||||||
\(264\) | −53323.8 | + | 129891.i | −0.765092 | + | 1.86368i | ||||
\(265\) | −12028.8 | −0.171289 | ||||||||
\(266\) | 123548. | − | 34492.0i | 1.74611 | − | 0.487478i | ||||
\(267\) | − | 212296.i | − | 2.97797i | ||||||
\(268\) | 53946.2 | + | 67932.3i | 0.751089 | + | 0.945816i | ||||
\(269\) | 10895.3 | + | 61790.2i | 0.150568 | + | 0.853916i | 0.962726 | + | 0.270478i | \(0.0871817\pi\) |
−0.812158 | + | 0.583438i | \(0.801707\pi\) | |||||||
\(270\) | 1522.99 | − | 8004.18i | 0.0208915 | − | 0.109797i | ||||
\(271\) | −9707.79 | − | 11569.3i | −0.132185 | − | 0.157532i | 0.695892 | − | 0.718147i | \(-0.255009\pi\) |
−0.828077 | + | 0.560615i | \(0.810565\pi\) | |||||||
\(272\) | −17374.6 | + | 5281.26i | −0.234843 | + | 0.0713839i | ||||
\(273\) | −120569. | + | 208831.i | −1.61774 | + | 2.80201i | ||||
\(274\) | 63163.7 | + | 37613.0i | 0.841330 | + | 0.500999i | ||||
\(275\) | −32549.2 | − | 89428.1i | −0.430402 | − | 1.18252i | ||||
\(276\) | 7669.40 | − | 37541.0i | 0.100680 | − | 0.492819i | ||||
\(277\) | 19842.2 | + | 34367.7i | 0.258601 | + | 0.447910i | 0.965867 | − | 0.259037i | \(-0.0834052\pi\) |
−0.707266 | + | 0.706947i | \(0.750072\pi\) | |||||||
\(278\) | 93125.3 | + | 1256.72i | 1.20498 | + | 0.0162611i | ||||
\(279\) | −89156.0 | − | 15720.6i | −1.14536 | − | 0.201958i | ||||
\(280\) | −21477.0 | + | 16587.6i | −0.273941 | + | 0.211577i | ||||
\(281\) | −32501.8 | − | 27272.3i | −0.411619 | − | 0.345389i | 0.413345 | − | 0.910574i | \(-0.364360\pi\) |
−0.824964 | + | 0.565185i | \(0.808805\pi\) | |||||||
\(282\) | −63454.1 | − | 77728.1i | −0.797924 | − | 0.977416i | ||||
\(283\) | −51667.0 | + | 141954.i | −0.645120 | + | 1.77245i | −0.0101079 | + | 0.999949i | \(0.503218\pi\) |
−0.635012 | + | 0.772503i | \(0.719005\pi\) | |||||||
\(284\) | −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 | ||||
\(288\) | −46293.9 | + | 104637.i | −0.558134 | + | 1.26153i | ||||
\(289\) | −60126.1 | − | 50451.8i | −0.719893 | − | 0.604062i | ||||
\(290\) | 4951.12 | − | 13052.3i | 0.0588718 | − | 0.155200i | ||||
\(291\) | −33908.5 | − | 5978.99i | −0.400427 | − | 0.0706060i | ||||
\(292\) | −9861.87 | − | 18198.4i | −0.115663 | − | 0.213436i | ||||
\(293\) | 78441.2 | + | 135864.i | 0.913711 | + | 1.58259i | 0.808777 | + | 0.588115i | \(0.200130\pi\) |
0.104934 | + | 0.994479i | \(0.466537\pi\) | |||||||
\(294\) | 230880. | + | 199101.i | 2.67110 | + | 2.30345i | ||||
\(295\) | 6133.94 | + | 16852.9i | 0.0704848 | + | 0.193655i | ||||
\(296\) | 37732.0 | − | 19793.4i | 0.430652 | − | 0.225911i | ||||
\(297\) | 33718.8 | − | 58402.7i | 0.382260 | − | 0.662094i | ||||
\(298\) | 16878.5 | + | 48395.5i | 0.190065 | + | 0.544969i | ||||
\(299\) | 21680.2 | + | 25837.4i | 0.242505 | + | 0.289006i | ||||
\(300\) | −42343.1 | − | 126891.i | −0.470479 | − | 1.40990i | ||||
\(301\) | −46022.8 | − | 261008.i | −0.507973 | − | 2.88086i | ||||
\(302\) | −9160.19 | − | 56389.3i | −0.100436 | − | 0.618277i | ||||
\(303\) | 16409.6i | 0.178737i | ||||||||
\(304\) | −26589.0 | + | 88508.4i | −0.287709 | + | 0.957718i | ||||
\(305\) | 6209.92 | 0.0667554 | ||||||||
\(306\) | 31294.8 | − | 5083.70i | 0.334218 | − | 0.0542922i | ||||
\(307\) | 64024.5 | − | 11289.3i | 0.679313 | − | 0.119781i | 0.176663 | − | 0.984271i | \(-0.443470\pi\) |
0.502650 | + | 0.864490i | \(0.332359\pi\) | |||||||
\(308\) | −213057. | + | 71096.5i | −2.24592 | + | 0.749457i | ||||
\(309\) | −68746.9 | + | 57685.5i | −0.720006 | + | 0.604157i | ||||
\(310\) | 14606.4 | − | 5094.17i | 0.151992 | − | 0.0530091i | ||||
\(311\) | 131371. | + | 75846.9i | 1.35824 | + | 0.784183i | 0.989387 | − | 0.145304i | \(-0.0464159\pi\) |
0.368857 | + | 0.929486i | \(0.379749\pi\) | |||||||
\(312\) | −80705.5 | − | 153848.i | −0.829075 | − | 1.58046i | ||||
\(313\) | −84185.2 | + | 30640.9i | −0.859305 | + | 0.312761i | −0.733828 | − | 0.679335i | \(-0.762268\pi\) |
−0.125477 | + | 0.992097i | \(0.540046\pi\) | |||||||
\(314\) | −36659.3 | + | 42510.4i | −0.371813 | + | 0.431158i | ||||
\(315\) | 41031.1 | − | 23689.3i | 0.413516 | − | 0.238743i | ||||
\(316\) | −163581. | + | 88646.3i | −1.63817 | + | 0.887741i | ||||
\(317\) | 24077.1 | − | 136548.i | 0.239599 | − | 1.35883i | −0.593109 | − | 0.805122i | \(-0.702100\pi\) |
0.832708 | − | 0.553712i | \(-0.186789\pi\) | |||||||
\(318\) | −130846. | − | 49633.5i | −1.29391 | − | 0.490819i | ||||
\(319\) | 74269.4 | − | 88510.8i | 0.729841 | − | 0.869791i | ||||
\(320\) | −1826.70 | − | 19465.7i | −0.0178389 | − | 0.190095i | ||||
\(321\) | −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 | ||||
\(326\) | 48128.4 | − | 39290.1i | 0.452862 | − | 0.369699i | ||||
\(327\) | −117624. | + | 140179.i | −1.10002 | + | 1.31095i | ||||
\(328\) | −5985.05 | − | 7749.19i | −0.0556314 | − | 0.0720292i | ||||
\(329\) | 27871.8 | − | 158069.i | 0.257498 | − | 1.46034i | ||||
\(330\) | −565.231 | + | 41884.6i | −0.00519036 | + | 0.384615i | ||||
\(331\) | −104460. | + | 60310.0i | −0.953441 | + | 0.550469i | −0.894148 | − | 0.447771i | \(-0.852218\pi\) |
−0.0592928 | + | 0.998241i | \(0.518885\pi\) | |||||||
\(332\) | 23323.7 | + | 4764.90i | 0.211603 | + | 0.0432293i | ||||
\(333\) | −69904.4 | + | 25443.1i | −0.630400 | + | 0.229447i | ||||
\(334\) | −5.19735 | + | 8.72792i | −4.65896e−5 | + | 7.82380e-5i | ||||
\(335\) | 22411.8 | + | 12939.5i | 0.199704 | + | 0.115299i | ||||
\(336\) | −302065. | + | 91816.9i | −2.67561 | + | 0.813287i | ||||
\(337\) | 55727.6 | − | 46761.0i | 0.490694 | − | 0.411741i | −0.363581 | − | 0.931563i | \(-0.618446\pi\) |
0.854275 | + | 0.519822i | \(0.174002\pi\) | |||||||
\(338\) | 38003.0 | + | 7231.00i | 0.332647 | + | 0.0632944i | ||||
\(339\) | −151583. | + | 26728.2i | −1.31902 | + | 0.232579i | ||||
\(340\) | −4242.51 | + | 3369.05i | −0.0366999 | + | 0.0291440i | ||||
\(341\) | 128036. | 1.10109 | ||||||||
\(342\) | 66658.1 | − | 146937.i | 0.569903 | − | 1.25626i | ||||
\(343\) | 274400.i | 2.33236i | ||||||||
\(344\) | 176643. | + | 72516.7i | 1.49272 | + | 0.612803i | ||||
\(345\) | −1984.94 | − | 11257.2i | −0.0166767 | − | 0.0945782i | ||||
\(346\) | 91632.0 | + | 17435.3i | 0.765411 | + | 0.145638i | ||||
\(347\) | −53938.6 | − | 64281.5i | −0.447961 | − | 0.533860i | 0.494053 | − | 0.869432i | \(-0.335515\pi\) |
−0.942015 | + | 0.335572i | \(0.891070\pi\) | |||||||
\(348\) | 107714. | − | 121550.i | 0.889433 | − | 1.00368i | ||||
\(349\) | −11986.9 | + | 20762.0i | −0.0984142 | + | 0.170458i | −0.911028 | − | 0.412344i | \(-0.864710\pi\) |
0.812614 | + | 0.582802i | \(0.198044\pi\) | |||||||
\(350\) | 109482. | − | 183854.i | 0.893732 | − | 1.50085i | ||||
\(351\) | 28538.6 | + | 78409.1i | 0.231642 | + | 0.636432i | ||||
\(352\) | 38780.2 | − | 157106.i | 0.312986 | − | 1.26796i | ||||
\(353\) | 34072.2 | + | 59014.8i | 0.273433 | + | 0.473600i | 0.969739 | − | 0.244146i | \(-0.0785075\pi\) |
−0.696306 | + | 0.717745i | \(0.745174\pi\) | |||||||
\(354\) | −2815.47 | + | 208631.i | −0.0224669 | + | 1.66484i | ||||
\(355\) | −36171.7 | − | 6378.04i | −0.287020 | − | 0.0506093i | ||||
\(356\) | 35968.7 | + | 242010.i | 0.283808 | + | 1.90956i | ||||
\(357\) | 67014.7 | + | 56232.0i | 0.525816 | + | 0.441212i | ||||
\(358\) | −131011. | + | 106952.i | −1.02222 | + | 0.834496i | ||||
\(359\) | 36191.6 | − | 99435.6i | 0.280814 | − | 0.771530i | −0.716452 | − | 0.697636i | \(-0.754235\pi\) |
0.997266 | − | 0.0738940i | \(-0.0235427\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | 102063. | − | 258488.i | 0.770306 | − | 1.95091i | ||||
\(365\) | −4730.33 | − | 3969.22i | −0.0355063 | − | 0.0297933i | ||||
\(366\) | 67549.9 | + | 25623.6i | 0.504269 | + | 0.191284i | ||||
\(367\) | 44424.4 | + | 7833.22i | 0.329829 | + | 0.0581578i | 0.336111 | − | 0.941822i | \(-0.390888\pi\) |
−0.00628142 | + | 0.999980i | \(0.501999\pi\) | |||||||
\(368\) | −2382.40 | + | 44094.8i | −0.0175921 | + | 0.325605i | ||||
\(369\) | 8547.43 | + | 14804.6i | 0.0627744 | + | 0.108729i | ||||
\(370\) | 8301.31 | − | 9626.27i | 0.0606377 | − | 0.0703161i | ||||
\(371\) | −76564.2 | − | 210358.i | −0.556260 | − | 1.52831i | ||||
\(372\) | 179905. | + | 4856.49i | 1.30004 | + | 0.0350943i | ||||
\(373\) | 17814.3 | − | 30855.3i | 0.128042 | − | 0.221775i | −0.794876 | − | 0.606772i | \(-0.792464\pi\) |
0.922918 | + | 0.384997i | \(0.125798\pi\) | |||||||
\(374\) | −42338.5 | + | 14766.1i | −0.302686 | + | 0.105566i | ||||
\(375\) | −52274.1 | − | 62297.8i | −0.371727 | − | 0.443007i | ||||
\(376\) | 85504.7 | + | 77856.4i | 0.604803 | + | 0.550705i | ||||
\(377\) | 24825.1 | + | 140790.i | 0.174666 | + | 0.990580i | ||||
\(378\) | 149671. | − | 24313.3i | 1.04750 | − | 0.170161i | ||||
\(379\) | 30202.2i | 0.210262i | 0.994458 | + | 0.105131i | \(0.0335261\pi\) | ||||
−0.994458 | + | 0.105131i | \(0.966474\pi\) | |||||||
\(380\) | 2319.22 | + | 27472.5i | 0.0160611 | + | 0.190253i | ||||
\(381\) | −236057. | −1.62617 | ||||||||
\(382\) | 22601.2 | + | 139131.i | 0.154883 | + | 0.953448i | ||||
\(383\) | −176988. | + | 31207.8i | −1.20655 | + | 0.212748i | −0.740530 | − | 0.672024i | \(-0.765425\pi\) |
−0.466025 | + | 0.884772i | \(0.654314\pi\) | |||||||
\(384\) | 60449.6 | − | 219280.i | 0.409950 | − | 1.48709i | ||||
\(385\) | −51329.8 | + | 43070.8i | −0.346297 | + | 0.290577i | ||||
\(386\) | −55859.3 | − | 160164.i | −0.374905 | − | 1.07496i | ||||
\(387\) | −288715. | − | 166690.i | −1.92774 | − | 1.11298i | ||||
\(388\) | 39667.5 | + | 1070.82i | 0.263495 | + | 0.00711299i | ||||
\(389\) | −160949. | + | 58580.7i | −1.06363 | + | 0.387128i | −0.813790 | − | 0.581159i | \(-0.802599\pi\) |
−0.249837 | + | 0.968288i | \(0.580377\pi\) | |||||||
\(390\) | −39250.1 | − | 33847.7i | −0.258055 | − | 0.222536i | ||||
\(391\) | 10596.8 | − | 6118.09i | 0.0693143 | − | 0.0400186i | ||||
\(392\) | −296928. | − | 187851.i | −1.93232 | − | 1.22248i | ||||
\(393\) | 8782.14 | − | 49806.0i | 0.0568611 | − | 0.322475i | ||||
\(394\) | 67268.0 | − | 177335.i | 0.433327 | − | 1.14235i | ||||
\(395\) | −35678.5 | + | 42519.9i | −0.228671 | + | 0.272520i | ||||
\(396\) | −103759. | + | 262783.i | −0.661658 | + | 1.67574i | ||||
\(397\) | −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 | \(0.519814\pi\) | |||||||
\(402\) | 190399. | + | 233228.i | 1.17818 | + | 1.44321i | ||||
\(403\) | −101831. | + | 121357.i | −0.627001 | + | 0.747231i | ||||
\(404\) | −2780.23 | − | 18706.4i | −0.0170341 | − | 0.114611i | ||||
\(405\) | −2591.31 | + | 14696.0i | −0.0157983 | + | 0.0895964i | ||||
\(406\) | 259772. | + | 3505.62i | 1.57594 | + | 0.0212673i | ||||
\(407\) | 91113.5 | − | 52604.4i | 0.550039 | − | 0.317565i | ||||
\(408\) | −60050.3 | + | 19142.0i | −0.360741 | + | 0.114992i | ||||
\(409\) | 24830.4 | − | 9037.52i | 0.148435 | − | 0.0540260i | −0.266734 | − | 0.963770i | \(-0.585945\pi\) |
0.415169 | + | 0.909744i | \(0.363722\pi\) | |||||||
\(410\) | −2509.75 | − | 1494.52i | −0.0149301 | − | 0.00889065i | ||||
\(411\) | 220967. | + | 127576.i | 1.30811 | + | 0.755238i | ||||
\(412\) | 68595.6 | − | 77407.0i | 0.404112 | − | 0.456022i | ||||
\(413\) | −255679. | + | 214540.i | −1.49897 | + | 1.25779i | ||||
\(414\) | 14411.2 | − | 75739.1i | 0.0840815 | − | 0.441895i | ||||
\(415\) | 6993.94 | − | 1233.22i | 0.0406093 | − | 0.00716052i | ||||
\(416\) | 118067. | + | 161708.i | 0.682250 | + | 0.934425i | ||||
\(417\) | 323245. | 1.85891 | ||||||||
\(418\) | −56754.8 | + | 221023.i | −0.324826 | + | 1.26498i | ||||
\(419\) | − | 20145.4i | − | 0.114749i | −0.998353 | − | 0.0573744i | \(-0.981727\pi\) | ||
0.998353 | − | 0.0573744i | \(-0.0182729\pi\) | |||||||
\(420\) | −73757.7 | + | 58572.2i | −0.418127 | + | 0.332042i | ||||
\(421\) | −42560.5 | − | 241373.i | −0.240128 | − | 1.36183i | −0.831541 | − | 0.555464i | \(-0.812541\pi\) |
0.591413 | − | 0.806369i | \(-0.298570\pi\) | |||||||
\(422\) | 15304.6 | − | 80434.1i | 0.0859402 | − | 0.451664i | ||||
\(423\) | −129777. | − | 154663.i | −0.725301 | − | 0.864380i | ||||
\(424\) | 157569. | + | 34411.7i | 0.876473 | + | 0.191414i | ||||
\(425\) | 21359.4 | − | 36995.5i | 0.118252 | − | 0.204819i | ||||
\(426\) | −367149. | − | 218631.i | −2.02312 | − | 1.20474i | ||||
\(427\) | 39526.7 | + | 108599.i | 0.216788 | + | 0.595619i | ||||
\(428\) | 127205. | + | 25987.3i | 0.694412 | + | 0.141864i | ||||
\(429\) | −214489. | − | 371506.i | −1.16544 | − | 2.01860i | ||||
\(430\) | 56960.1 | + | 768.674i | 0.308059 | + | 0.00415724i | ||||
\(431\) | −205916. | − | 36308.6i | −1.10850 | − | 0.195459i | −0.410714 | − | 0.911764i | \(-0.634721\pi\) |
−0.697787 | + | 0.716305i | \(0.745832\pi\) | |||||||
\(432\) | −42848.4 | + | 100492.i | −0.229597 | + | 0.538475i | ||||
\(433\) | 17929.7 | + | 15044.8i | 0.0956305 | + | 0.0802435i | 0.689349 | − | 0.724429i | \(-0.257896\pi\) |
−0.593719 | + | 0.804672i | \(0.702341\pi\) | |||||||
\(434\) | 182058. | + | 223011.i | 0.966562 | + | 1.18399i | ||||
\(435\) | 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 | \(-0.957254\pi\) |
0.845208 | + | 0.534438i | \(0.179477\pi\) | |||||||
\(440\) | −6452.03 | − | 47842.7i | −0.0333266 | − | 0.247121i | ||||
\(441\) | 469926. | + | 394315.i | 2.41631 | + | 2.02752i | ||||
\(442\) | 19677.2 | − | 51873.8i | 0.100721 | − | 0.265524i | ||||
\(443\) | 376011. | + | 66300.8i | 1.91599 | + | 0.337840i | 0.998239 | − | 0.0593202i | \(-0.0188933\pi\) |
0.917749 | + | 0.397161i | \(0.130004\pi\) | |||||||
\(444\) | 130020. | − | 70458.9i | 0.659543 | − | 0.357413i | ||||
\(445\) | 36495.7 | + | 63212.4i | 0.184298 | + | 0.319214i | ||||
\(446\) | 174212. | + | 150233.i | 0.875806 | + | 0.755260i | ||||
\(447\) | 60842.4 | + | 167163.i | 0.304503 | + | 0.836614i | ||||
\(448\) | 328787. | − | 155846.i | 1.63817 | − | 0.776496i | ||||
\(449\) | −153913. | + | 266586.i | −0.763455 | + | 1.32234i | 0.177605 | + | 0.984102i | \(0.443165\pi\) |
−0.941060 | + | 0.338241i | \(0.890168\pi\) | |||||||
\(450\) | −88637.7 | − | 254149.i | −0.437717 | − | 1.25506i | ||||
\(451\) | −15540.6 | − | 18520.5i | −0.0764035 | − | 0.0910542i | ||||
\(452\) | 168271. | − | 56151.4i | 0.823629 | − | 0.274842i | ||||
\(453\) | −34430.8 | − | 195267.i | −0.167784 | − | 0.951550i | ||||
\(454\) | −40247.3 | − | 247759.i | −0.195265 | − | 1.20204i | ||||
\(455\) | − | 82907.6i | − | 0.400471i | ||||||
\(456\) | −88130.2 | + | 308409.i | −0.423834 | + | 1.48319i | ||||
\(457\) | −176153. | −0.843448 | −0.421724 | − | 0.906724i | \(-0.638575\pi\) | ||||
−0.421724 | + | 0.906724i | \(0.638575\pi\) | |||||||
\(458\) | −65238.8 | + | 10597.8i | −0.311011 | + | 0.0505223i | ||||
\(459\) | 29811.5 | − | 5256.56i | 0.141500 | − | 0.0249503i | ||||
\(460\) | 4170.03 | + | 12496.5i | 0.0197072 | + | 0.0590571i | ||||
\(461\) | 148293. | − | 124433.i | 0.697783 | − | 0.585509i | −0.223359 | − | 0.974736i | \(-0.571702\pi\) |
0.921142 | + | 0.389227i | \(0.127258\pi\) | |||||||
\(462\) | −736072. | + | 256714.i | −3.44855 | + | 1.20272i | ||||
\(463\) | −312453. | − | 180395.i | −1.45755 | − | 0.841516i | −0.458657 | − | 0.888613i | \(-0.651669\pi\) |
−0.998890 | + | 0.0470976i | \(0.985003\pi\) | |||||||
\(464\) | −102196. | + | 156813.i | −0.474677 | + | 0.728358i | ||||
\(465\) | 50452.2 | − | 18363.1i | 0.233332 | − | 0.0849258i | ||||
\(466\) | −118028. | + | 136867.i | −0.543519 | + | 0.630270i | ||||
\(467\) | 70567.7 | − | 40742.3i | 0.323573 | − | 0.186815i | −0.329411 | − | 0.944187i | \(-0.606850\pi\) |
0.652984 | + | 0.757372i | \(0.273517\pi\) | |||||||
\(468\) | −166553. | − | 307345.i | −0.760433 | − | 1.40325i | ||||
\(469\) | −83631.4 | + | 474297.i | −0.380210 | + | 2.15628i | ||||
\(470\) | 32256.0 | + | 12235.6i | 0.146021 | + | 0.0553898i | ||||
\(471\) | −125233. | + | 149247.i | −0.564517 | + | 0.672765i | ||||
\(472\) | −32138.2 | − | 238309.i | −0.144257 | − | 1.06969i | ||||
\(473\) | 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 | ||||
\(478\) | −226675. | + | 185048.i | −0.992082 | + | 0.809896i | ||||
\(479\) | 179755. | − | 214224.i | 0.783450 | − | 0.933679i | −0.215634 | − | 0.976474i | \(-0.569182\pi\) |
0.999084 | + | 0.0427953i | \(0.0136263\pi\) | |||||||
\(480\) | −7251.10 | − | 67468.9i | −0.0314718 | − | 0.292834i | ||||
\(481\) | −22604.8 | + | 128198.i | −0.0977036 | + | 0.554105i | ||||
\(482\) | 4944.79 | − | 366418.i | 0.0212840 | − | 1.57718i | ||||
\(483\) | 184230. | − | 106365.i | 0.789709 | − | 0.455938i | ||||
\(484\) | 33089.1 | − | 161968.i | 0.141252 | − | 0.691414i | ||||
\(485\) | 11124.3 | − | 4048.91i | 0.0472922 | − | 0.0172129i | ||||
\(486\) | −159569. | + | 267964.i | −0.675577 | + | 1.13450i | ||||
\(487\) | −107373. | − | 61992.0i | −0.452729 | − | 0.261383i | 0.256253 | − | 0.966610i | \(-0.417512\pi\) |
−0.708982 | + | 0.705226i | \(0.750845\pi\) | |||||||
\(488\) | −81345.8 | − | 17765.2i | −0.341582 | − | 0.0745986i | ||||
\(489\) | 165187. | − | 138608.i | 0.690808 | − | 0.579657i | ||||
\(490\) | −102973. | − | 19593.2i | −0.428876 | − | 0.0816042i | ||||
\(491\) | 86033.3 | − | 15170.0i | 0.356865 | − | 0.0629249i | 0.00765821 | − | 0.999971i | \(-0.497562\pi\) |
0.349206 | + | 0.937046i | \(0.386451\pi\) | |||||||
\(492\) | −21133.7 | − | 26612.8i | −0.0873061 | − | 0.109941i | ||||
\(493\) | 51864.7 | 0.213392 | ||||||||
\(494\) | −164355. | − | 229580.i | −0.673485 | − | 0.940762i | ||||
\(495\) | 84285.4i | 0.343987i | ||||||||
\(496\) | −205908. | + | 24944.5i | −0.836969 | + | 0.101394i | ||||
\(497\) | −118697. | − | 673164.i | −0.480537 | − | 2.72526i | ||||
\(498\) | 81166.8 | + | 15444.0i | 0.327280 | + | 0.0622731i | ||||
\(499\) | 236595. | + | 281963.i | 0.950178 | + | 1.13238i | 0.991087 | + | 0.133215i | \(0.0425302\pi\) |
−0.0409091 | + | 0.999163i | \(0.513025\pi\) | |||||||
\(500\) | 70145.5 | + | 62160.7i | 0.280582 | + | 0.248643i | ||||
\(501\) | −17.6283 | + | 30.5332i | −7.02321e−5 | + | 0.000121646i | ||||
\(502\) | 52544.0 | − | 88237.4i | 0.208505 | − | 0.350143i | ||||
\(503\) | 118577. | + | 325786.i | 0.468665 | + | 1.28765i | 0.918813 | + | 0.394693i | \(0.129149\pi\) |
−0.450147 | + | 0.892954i | \(0.648629\pi\) | |||||||
\(504\) | −605249. | + | 192933.i | −2.38272 | + | 0.759531i | ||||
\(505\) | −2820.97 | − | 4886.06i | −0.0110615 | − | 0.0191591i | ||||
\(506\) | −1471.32 | + | 109028.i | −0.00574655 | + | 0.425829i | ||||
\(507\) | 132226. | + | 23314.9i | 0.514399 | + | 0.0907023i | ||||
\(508\) | 269097. | − | 39994.4i | 1.04275 | − | 0.154979i | ||||
\(509\) | 21418.7 | + | 17972.5i | 0.0826720 | + | 0.0693700i | 0.683187 | − | 0.730243i | \(-0.260593\pi\) |
−0.600515 | + | 0.799613i | \(0.705038\pi\) | |||||||
\(510\) | −14565.6 | + | 11890.8i | −0.0559999 | + | 0.0457161i | ||||
\(511\) | 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 | ||||
\(516\) | 616425. | + | 243392.i | 2.31516 | + | 0.914128i | ||||
\(517\) | 218735. | + | 183541.i | 0.818348 | + | 0.686675i | ||||
\(518\) | 221182. | + | 83900.6i | 0.824310 | + | 0.312684i | ||||
\(519\) | 318820. | + | 56216.6i | 1.18362 | + | 0.208703i | ||||
\(520\) | 50478.5 | + | 31935.2i | 0.186681 | + | 0.118103i | ||||
\(521\) | 99974.9 | + | 173162.i | 0.368312 | + | 0.637935i | 0.989302 | − | 0.145884i | \(-0.0466026\pi\) |
−0.620990 | + | 0.783819i | \(0.713269\pi\) | |||||||
\(522\) | 213416. | − | 247479.i | 0.783222 | − | 0.908232i | ||||
\(523\) | −62786.5 | − | 172504.i | −0.229542 | − | 0.630662i | 0.770434 | − | 0.637520i | \(-0.220039\pi\) |
−0.999976 | + | 0.00685720i | \(0.997817\pi\) | |||||||
\(524\) | −1572.85 | + | 58265.0i | −0.00572830 | + | 0.212200i | ||||
\(525\) | 371341. | − | 643181.i | 1.34727 | − | 2.33354i | ||||
\(526\) | −272185. | + | 94928.0i | −0.983769 | + | 0.343102i | ||||
\(527\) | 36942.8 | + | 44026.7i | 0.133017 | + | 0.158524i | ||||
\(528\) | 127227. | − | 547043.i | 0.456363 | − | 1.96225i | ||||
\(529\) | 43427.0 | + | 246287.i | 0.155184 | + | 0.880095i | ||||
\(530\) | 47492.5 | − | 7714.95i | 0.169073 | − | 0.0274651i | ||||
\(531\) | 419833.i | 1.48898i | ||||||||
\(532\) | −465676. | + | 215423.i | −1.64536 | + | 0.761149i | ||||
\(533\) | 29914.2 | 0.105299 | ||||||||
\(534\) | 136161. | + | 838198.i | 0.477498 | + | 2.93944i | ||||
\(535\) | 38144.2 | − | 6725.85i | 0.133266 | − | 0.0234985i | ||||
\(536\) | −256563. | − | 233614.i | −0.893026 | − | 0.813146i | ||||
\(537\) | −449658. | + | 377308.i | −1.55931 | + | 1.30842i | ||||
\(538\) | −82647.9 | − | 236975.i | −0.285540 | − | 0.818724i | ||||
\(539\) | −751345. | − | 433789.i | −2.58620 | − | 1.49314i | ||||
\(540\) | −879.472 | + | 32579.3i | −0.00301602 | + | 0.111726i | ||||
\(541\) | −395206. | + | 143843.i | −1.35030 | + | 0.491467i | −0.913040 | − | 0.407870i | \(-0.866272\pi\) |
−0.437255 | + | 0.899337i | \(0.644049\pi\) | |||||||
\(542\) | 45749.0 | + | 39452.1i | 0.155734 | + | 0.134299i | ||||
\(543\) | 166326. | − | 96028.3i | 0.564106 | − | 0.325686i | ||||
\(544\) | 65212.1 | − | 31995.4i | 0.220359 | − | 0.108116i | ||||
\(545\) | 10925.2 | − | 61959.8i | 0.0367820 | − | 0.208601i | ||||
\(546\) | 342096. | − | 901847.i | 1.14753 | − | 3.02515i | ||||
\(547\) | 96246.1 | − | 114702.i | 0.321668 | − | 0.383350i | −0.580843 | − | 0.814016i | \(-0.697277\pi\) |
0.902511 | + | 0.430666i | \(0.141721\pi\) | |||||||
\(548\) | −273510. | − | 107994.i | −0.910777 | − | 0.359615i | ||||
\(549\) | 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 | ||||
\(554\) | −100384. | − | 122966.i | −0.327075 | − | 0.400650i | ||||
\(555\) | 28358.4 | − | 33796.2i | 0.0920651 | − | 0.109719i | ||||
\(556\) | −368488. | + | 54766.4i | −1.19199 | + | 0.177159i | ||||
\(557\) | −59145.0 | + | 335428.i | −0.190637 | + | 1.08116i | 0.727859 | + | 0.685727i | \(0.240515\pi\) |
−0.918496 | + | 0.395430i | \(0.870596\pi\) | |||||||
\(558\) | 362092. | + | 4886.42i | 1.16292 | + | 0.0156936i | ||||
\(559\) | −505222. | + | 291690.i | −1.61681 | + | 0.933465i | ||||
\(560\) | 74157.4 | − | 79266.8i | 0.236471 | − | 0.252764i | ||||
\(561\) | −146242. | + | 53227.7i | −0.464671 | + | 0.169127i | ||||
\(562\) | 145817. | + | 86831.7i | 0.461674 | + | 0.274920i | ||||
\(563\) | 362243. | + | 209141.i | 1.14283 | + | 0.659815i | 0.947131 | − | 0.320848i | \(-0.103968\pi\) |
0.195703 | + | 0.980663i | \(0.437301\pi\) | |||||||
\(564\) | 300385. | + | 266192.i | 0.944323 | + | 0.836828i | ||||
\(565\) | 40539.8 | − | 34017.0i | 0.126995 | − | 0.106561i | ||||
\(566\) | 112948. | − | 593607.i | 0.352571 | − | 1.85296i | ||||
\(567\) | −273497. | + | 48225.0i | −0.850721 | + | 0.150005i | ||||
\(568\) | 455578. | + | 187027.i | 1.41210 | + | 0.579707i | ||||
\(569\) | 79014.3 | 0.244051 | 0.122026 | − | 0.992527i | \(-0.461061\pi\) | ||||
0.122026 | + | 0.992527i | \(0.461061\pi\) | |||||||
\(570\) | 9335.34 | + | 95233.2i | 0.0287330 | + | 0.293115i | ||||
\(571\) | − | 115354.i | − | 0.353803i | −0.984229 | − | 0.176902i | \(-0.943393\pi\) | ||
0.984229 | − | 0.176902i | \(-0.0566074\pi\) | |||||||
\(572\) | 307453. | + | 387163.i | 0.939694 | + | 1.18332i | ||||
\(573\) | 84952.1 | + | 481787.i | 0.258741 | + | 1.46739i | ||||
\(574\) | 10161.3 | − | 53403.1i | 0.0308407 | − | 0.162085i | ||||
\(575\) | −66772.9 | − | 79576.8i | −0.201960 | − | 0.240686i | ||||
\(576\) | 115668. | − | 442823.i | 0.348634 | − | 1.33471i | ||||
\(577\) | −248819. | + | 430968.i | −0.747364 | + | 1.29447i | 0.201718 | + | 0.979444i | \(0.435348\pi\) |
−0.949082 | + | 0.315029i | \(0.897986\pi\) | |||||||
\(578\) | 269751. | + | 160633.i | 0.807435 | + | 0.480816i | ||||
\(579\) | −201358. | − | 553225.i | −0.600635 | − | 1.65023i | ||||
\(580\) | −11176.8 | + | 54709.3i | −0.0332247 | + | 0.162632i | ||||
\(581\) | 66083.5 | + | 114460.i | 0.195768 | + | 0.339079i | ||||
\(582\) | 137714. | + | 1858.44i | 0.406567 | + | 0.00548660i | ||||
\(583\) | 392189. | + | 69153.5i | 1.15387 | + | 0.203459i | ||||
\(584\) | 50609.1 | + | 65526.5i | 0.148389 | + | 0.192128i | ||||
\(585\) | −79888.6 | − | 67034.5i | −0.233439 | − | 0.195878i | ||||
\(586\) | −396845. | − | 486115.i | −1.15565 | − | 1.41561i | ||||
\(587\) | 3398.54 | − | 9337.41i | 0.00986316 | − | 0.0270988i | −0.934663 | − | 0.355534i | \(-0.884299\pi\) |
0.944527 | + | 0.328435i | \(0.106521\pi\) | |||||||
\(588\) | −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 | ||||
\(592\) | −136280. | + | 102349.i | −0.388856 | + | 0.292040i | ||||
\(593\) | −115604. | − | 97003.5i | −0.328749 | − | 0.275853i | 0.463441 | − | 0.886128i | \(-0.346615\pi\) |
−0.792190 | + | 0.610275i | \(0.791059\pi\) | |||||||
\(594\) | −95672.1 | + | 252214.i | −0.271152 | + | 0.714820i | ||||
\(595\) | −29620.8 | − | 5222.95i | −0.0836687 | − | 0.0147530i | ||||
\(596\) | −97680.1 | − | 180252.i | −0.274988 | − | 0.507442i | ||||
\(597\) | −88049.8 | − | 152507.i | −0.247047 | − | 0.427898i | ||||
\(598\) | −102170. | − | 88107.3i | −0.285707 | − | 0.246382i | ||||
\(599\) | 14165.8 | + | 38920.3i | 0.0394810 | + | 0.108473i | 0.957867 | − | 0.287213i | \(-0.0927289\pi\) |
−0.918386 | + | 0.395687i | \(0.870507\pi\) | |||||||
\(600\) | 248565. | + | 473839.i | 0.690460 | + | 1.31622i | ||||
\(601\) | 150495. | − | 260665.i | 0.416651 | − | 0.721661i | −0.578949 | − | 0.815364i | \(-0.696537\pi\) |
0.995600 | + | 0.0937028i | \(0.0298704\pi\) | |||||||
\(602\) | 349113. | + | 1.00101e6i | 0.963327 | + | 2.76213i | ||||
\(603\) | 389406. | + | 464076.i | 1.07095 | + | 1.27631i | ||||
\(604\) | 72333.3 | + | 216764.i | 0.198273 | + | 0.594173i | ||||
\(605\) | −8563.90 | − | 48568.3i | −0.0233970 | − | 0.132691i | ||||
\(606\) | −10524.7 | − | 64789.2i | −0.0286593 | − | 0.176424i | ||||
\(607\) | − | 545441.i | − | 1.48037i | −0.672403 | − | 0.740185i | \(-0.734738\pi\) | ||
0.672403 | − | 0.740185i | \(-0.265262\pi\) | |||||||
\(608\) | 48212.7 | − | 366506.i | 0.130423 | − | 0.991458i | ||||
\(609\) | 901689. | 2.43121 | ||||||||
\(610\) | −24518.3 | + | 3982.88i | −0.0658917 | + | 0.0107038i | ||||
\(611\) | −347933. | + | 61349.9i | −0.931993 | + | 0.164336i | ||||
\(612\) | −120299. | + | 40143.4i | −0.321188 | + | 0.107179i | ||||
\(613\) | 31517.7 | − | 26446.5i | 0.0838751 | − | 0.0703795i | −0.599886 | − | 0.800085i | \(-0.704787\pi\) |
0.683761 | + | 0.729706i | \(0.260343\pi\) | |||||||
\(614\) | −245544. | + | 85636.4i | −0.651317 | + | 0.227155i | ||||
\(615\) | −8779.94 | − | 5069.10i | −0.0232135 | − | 0.0134023i | ||||
\(616\) | 795602. | − | 417356.i | 2.09669 | − | 1.09988i | ||||
\(617\) | 30420.1 | − | 11072.0i | 0.0799081 | − | 0.0290842i | −0.301757 | − | 0.953385i | \(-0.597573\pi\) |
0.381665 | + | 0.924301i | \(0.375351\pi\) | |||||||
\(618\) | 234432. | − | 271849.i | 0.613818 | − | 0.711789i | ||||
\(619\) | −55265.1 | + | 31907.3i | −0.144235 | + | 0.0832739i | −0.570381 | − | 0.821381i | \(-0.693204\pi\) |
0.426146 | + | 0.904654i | \(0.359871\pi\) | |||||||
\(620\) | −54402.5 | + | 29481.2i | −0.141526 | + | 0.0766941i | ||||
\(621\) | 12782.5 | − | 72493.3i | 0.0331462 | − | 0.187981i | ||||
\(622\) | −567330. | − | 215204.i | −1.46641 | − | 0.556250i | ||||
\(623\) | −873156. | + | 1.04059e6i | −2.24965 | + | 2.68103i | ||||
\(624\) | 417319. | + | 555668.i | 1.07176 | + | 1.42707i | ||||
\(625\) | −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 | ||||
\(630\) | −146807. | + | 119847.i | −0.369884 | + | 0.301959i | ||||
\(631\) | −103973. | + | 123911.i | −0.261134 | + | 0.311207i | −0.880641 | − | 0.473784i | \(-0.842888\pi\) |
0.619508 | + | 0.784991i | \(0.287332\pi\) | |||||||
\(632\) | 589004. | − | 454914.i | 1.47463 | − | 1.13893i | ||||
\(633\) | 49346.6 | − | 279858.i | 0.123154 | − | 0.698443i | ||||
\(634\) | −7483.85 | + | 554567.i | −0.0186186 | + | 1.37967i | ||||
\(635\) | 70287.3 | − | 40580.4i | 0.174313 | − | 0.100640i | ||||
\(636\) | 548445. | + | 112044.i | 1.35587 | + | 0.276997i | ||||
\(637\) | 1.00873e6 | − | 367146.i | 2.48596 | − | 0.904816i | ||||
\(638\) | −236465. | + | 397097.i | −0.580933 | + | 0.975563i | ||||
\(639\) | −744624. | − | 429909.i | −1.82362 | − | 1.05287i | ||||
\(640\) | 19697.1 | + | 75683.7i | 0.0480885 | + | 0.184775i | ||||
\(641\) | −382287. | + | 320776.i | −0.930407 | + | 0.780704i | −0.975890 | − | 0.218261i | \(-0.929962\pi\) |
0.0454835 | + | 0.998965i | \(0.485517\pi\) | |||||||
\(642\) | 442675. | + | 84229.8i | 1.07403 | + | 0.204360i | ||||
\(643\) | 782765. | − | 138023.i | 1.89326 | − | 0.333832i | 0.898746 | − | 0.438469i | \(-0.144479\pi\) |
0.994510 | + | 0.104637i | \(0.0333681\pi\) | |||||||
\(644\) | −191995. | + | 152466.i | −0.462933 | + | 0.367623i | ||||
\(645\) | 197713. | 0.475242 | ||||||||
\(646\) | −92377.0 | + | 44256.9i | −0.221360 | + | 0.106051i | ||||
\(647\) | − | 125497.i | − | 0.299795i | −0.988702 | − | 0.149898i | \(-0.952106\pi\) | ||
0.988702 | − | 0.149898i | \(-0.0478944\pi\) | |||||||
\(648\) | 75986.6 | − | 185095.i | 0.180962 | − | 0.440804i | ||||
\(649\) | −103105. | − | 584738.i | −0.244789 | − | 1.38826i | ||||
\(650\) | −462705. | − | 88041.1i | −1.09516 | − | 0.208381i | ||||
\(651\) | 642265. | + | 765421.i | 1.51549 | + | 1.80609i | ||||
\(652\) | −164823. | + | 185995.i | −0.387724 | + | 0.437529i | ||||
\(653\) | 105347. | − | 182467.i | 0.247057 | − | 0.427916i | −0.715651 | − | 0.698458i | \(-0.753870\pi\) |
0.962708 | + | 0.270543i | \(0.0872031\pi\) | |||||||
\(654\) | 374502. | − | 628903.i | 0.875586 | − | 1.47037i | ||||
\(655\) | 5947.18 | + | 16339.7i | 0.0138621 | + | 0.0380858i | ||||
\(656\) | 28600.6 | + | 26757.0i | 0.0664610 | + | 0.0621771i | ||||
\(657\) | −72276.4 | − | 125186.i | −0.167442 | − | 0.290019i | ||||
\(658\) | −8663.38 | + | 641971.i | −0.0200095 | + | 1.48274i | ||||
\(659\) | −60349.8 | − | 10641.3i | −0.138965 | − | 0.0245033i | 0.103733 | − | 0.994605i | \(-0.466921\pi\) |
−0.242698 | + | 0.970102i | \(0.578032\pi\) | |||||||
\(660\) | −24632.0 | − | 165733.i | −0.0565474 | − | 0.380471i | ||||
\(661\) | 527627. | + | 442732.i | 1.20760 | + | 1.01330i | 0.999380 | + | 0.0352177i | \(0.0112125\pi\) |
0.208223 | + | 0.978081i | \(0.433232\pi\) | |||||||
\(662\) | 373752. | − | 305117.i | 0.852840 | − | 0.696225i | ||||
\(663\) | 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 | ||||
\(668\) | 14.9225 | − | 37.7934i | 3.34418e−5 | − | 8.46961e-5i | ||||
\(669\) | 611628. | + | 513217.i | 1.36658 | + | 1.14670i | ||||
\(670\) | −96786.4 | − | 36713.8i | −0.215608 | − | 0.0817862i | ||||
\(671\) | −202470. | − | 35700.9i | −0.449692 | − | 0.0792928i | ||||
\(672\) | 1.13374e6 | − | 556252.i | 2.51058 | − | 1.23178i | ||||
\(673\) | −32039.1 | − | 55493.3i | −0.0707375 | − | 0.122521i | 0.828487 | − | 0.560008i | \(-0.189202\pi\) |
−0.899225 | + | 0.437487i | \(0.855869\pi\) | |||||||
\(674\) | −190035. | + | 220366.i | −0.418325 | + | 0.485093i | ||||
\(675\) | −87896.2 | − | 241493.i | −0.192913 | − | 0.530025i | ||||
\(676\) | −154683. | − | 4175.63i | −0.338492 | − | 0.00913753i | ||||
\(677\) | 123678. | − | 214217.i | 0.269846 | − | 0.467386i | −0.698976 | − | 0.715145i | \(-0.746361\pi\) |
0.968822 | + | 0.247759i | \(0.0796940\pi\) | |||||||
\(678\) | 581344. | − | 202751.i | 1.26466 | − | 0.441065i | ||||
\(679\) | 141614. | + | 168769.i | 0.307162 | + | 0.366061i | ||||
\(680\) | 14589.6 | − | 16022.9i | 0.0315520 | − | 0.0346515i | ||||
\(681\) | −151279. | − | 857947.i | −0.326201 | − | 1.84998i | ||||
\(682\) | −505518. | + | 82119.1i | −1.08685 | + | 0.176553i | ||||
\(683\) | 530571.i | 1.13737i | 0.822555 | + | 0.568685i | \(0.192548\pi\) | ||||
−0.822555 | + | 0.568685i | \(0.807452\pi\) | |||||||
\(684\) | −168941. | + | 622898.i | −0.361095 | + | 1.33139i | ||||
\(685\) | −87725.7 | −0.186959 | ||||||||
\(686\) | −175993. | − | 1.08340e6i | −0.373980 | − | 2.30219i | ||||
\(687\) | −225911. | + | 39834.2i | −0.478657 | + | 0.0844001i | ||||
\(688\) | −743940. | − | 173019.i | −1.57167 | − | 0.365526i | ||||
\(689\) | −377465. | + | 316731.i | −0.795130 | + | 0.667193i | ||||
\(690\) | 15057.1 | + | 43173.0i | 0.0316259 | + | 0.0906805i | ||||
\(691\) | 106722. | + | 61616.0i | 0.223511 | + | 0.129044i | 0.607575 | − | 0.794263i | \(-0.292143\pi\) |
−0.384064 | + | 0.923306i | \(0.625476\pi\) | |||||||
\(692\) | −372968. | − | 10068.2i | −0.778860 | − | 0.0210252i | ||||
\(693\) | −1.47398e6 | + | 536484.i | −3.06919 | + | 1.11709i | ||||
\(694\) | 254191. | + | 219204.i | 0.527766 | + | 0.455124i | ||||
\(695\) | −96248.0 | + | 55568.8i | −0.199261 | + | 0.115043i | ||||
\(696\) | −347321. | + | 548995.i | −0.716990 | + | 1.13331i | ||||
\(697\) | 1884.51 | − | 10687.6i | 0.00387912 | − | 0.0219996i | ||||
\(698\) | 34011.2 | − | 89661.6i | 0.0698089 | − | 0.184033i | ||||
\(699\) | −403201. | + | 480516.i | −0.825215 | + | 0.983452i | ||||
\(700\) | −314343. | + | 796119.i | −0.641517 | + | 1.62473i | ||||
\(701\) | −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 | ||||
\(706\) | −172376. | − | 211152.i | −0.345834 | − | 0.423629i | ||||
\(707\) | 67491.3 | − | 80433.0i | 0.135023 | − | 0.160915i | ||||
\(708\) | −122694. | − | 825532.i | −0.244770 | − | 1.64690i | ||||
\(709\) | 74792.2 | − | 424168.i | 0.148787 | − | 0.843811i | −0.815462 | − | 0.578811i | \(-0.803517\pi\) |
0.964248 | − | 0.265000i | \(-0.0853719\pi\) | |||||||
\(710\) | 146905. | + | 1982.48i | 0.291421 | + | 0.00393271i | ||||
\(711\) | −1.12527e6 | + | 649677.i | −2.22597 | + | 1.28516i | ||||
\(712\) | −297232. | − | 932446.i | −0.586322 | − | 1.83935i | ||||
\(713\) | 131330. | − | 47800.0i | 0.258335 | − | 0.0940263i | ||||
\(714\) | −300656. | − | 179036.i | −0.589758 | − | 0.351192i | ||||
\(715\) | 127731. | + | 73745.3i | 0.249852 | + | 0.144252i | ||||
\(716\) | 448668. | − | 506302.i | 0.875183 | − | 0.987605i | ||||
\(717\) | −777995. | + | 652815.i | −1.51335 | + | 1.26985i | ||||
\(718\) | −79117.8 | + | 415809.i | −0.153471 | + | 0.806575i | ||||
\(719\) | 269905. | − | 47591.5i | 0.522099 | − | 0.0920602i | 0.0936132 | − | 0.995609i | \(-0.470158\pi\) |
0.428486 | + | 0.903548i | \(0.359047\pi\) | |||||||
\(720\) | −16420.8 | − | 135548.i | −0.0316759 | − | 0.261473i | ||||
\(721\) | 574224. | 1.10461 | ||||||||
\(722\) | −72815.8 | + | 516173.i | −0.139686 | + | 0.990196i | ||||
\(723\) | − | 1.27186e6i | − | 2.43312i | ||||||
\(724\) | −173336. | + | 137649.i | −0.330683 | + | 0.262601i | ||||
\(725\) | −76459.1 | − | 433621.i | −0.145463 | − | 0.824963i | ||||
\(726\) | 107248. | − | 563649.i | 0.203478 | − | 1.06939i | ||||
\(727\) | −612163. | − | 729547.i | −1.15824 | − | 1.38033i | −0.911524 | − | 0.411247i | \(-0.865094\pi\) |
−0.246714 | − | 0.969088i | \(-0.579351\pi\) | |||||||
\(728\) | −237180. | + | 1.08603e6i | −0.447524 | + | 2.04918i | ||||
\(729\) | −414607. | + | 718121.i | −0.780157 | + | 1.35127i | ||||
\(730\) | 21222.2 | + | 12637.5i | 0.0398241 | + | 0.0237146i | ||||
\(731\) | 72385.9 | + | 198879.i | 0.135463 | + | 0.372180i | ||||
\(732\) | −283138. | − | 57843.4i | −0.528416 | − | 0.107952i | ||||
\(733\) | −19022.2 | − | 32947.5i | −0.0354041 | − | 0.0613217i | 0.847780 | − | 0.530347i | \(-0.177938\pi\) |
−0.883185 | + | 0.469026i | \(0.844605\pi\) | |||||||
\(734\) | −180422. | − | 2434.79i | −0.334887 | − | 0.00451929i | ||||
\(735\) | −358279. | − | 63174.3i | −0.663204 | − | 0.116941i | ||||
\(736\) | −18875.0 | − | 175625.i | −0.0348442 | − | 0.324213i | ||||
\(737\) | −656331. | − | 550727.i | −1.20834 | − | 1.01391i | ||||
\(738\) | −43242.6 | − | 52970.0i | −0.0793961 | − | 0.0972562i | ||||
\(739\) | −30395.5 | + | 83511.0i | −0.0556571 | + | 0.152917i | −0.964405 | − | 0.264428i | \(-0.914817\pi\) |
0.908748 | + | 0.417344i | \(0.137039\pi\) | |||||||
\(740\) | −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 | \(-0.773749\pi\) |
0.999920 | − | 0.0126566i | \(-0.00402883\pi\) | |||||||
\(744\) | −713422. | + | 96211.6i | −1.28885 | + | 0.173813i | ||||
\(745\) | −46853.1 | − | 39314.4i | −0.0844161 | − | 0.0708335i | ||||
\(746\) | −50545.5 | + | 133250.i | −0.0908249 | + | 0.239436i | ||||
\(747\) | 163724. | + | 28868.9i | 0.293407 | + | 0.0517355i | ||||
\(748\) | 157692. | − | 85455.0i | 0.281843 | − | 0.152733i | ||||
\(749\) | 360412. | + | 624253.i | 0.642445 | + | 1.11275i | ||||
\(750\) | 246347. | + | 212440.i | 0.437950 | + | 0.377671i | ||||
\(751\) | −64897.7 | − | 178305.i | −0.115067 | − | 0.316143i | 0.868769 | − | 0.495218i | \(-0.164912\pi\) |
−0.983835 | + | 0.179075i | \(0.942690\pi\) | |||||||
\(752\) | −387529. | − | 252556.i | −0.685280 | − | 0.446603i | ||||
\(753\) | 178218. | − | 308683.i | 0.314313 | − | 0.544407i | ||||
\(754\) | −188315. | − | 539952.i | −0.331239 | − | 0.949757i | ||||
\(755\) | 43820.1 | + | 52222.8i | 0.0768740 | + | 0.0916149i | ||||
\(756\) | −575342. | + | 191990.i | −1.00666 | + | 0.335919i | ||||
\(757\) | 100941. | + | 572465.i | 0.176147 | + | 0.998982i | 0.936811 | + | 0.349836i | \(0.113763\pi\) |
−0.760664 | + | 0.649146i | \(0.775126\pi\) | |||||||
\(758\) | −19370.9 | − | 119246.i | −0.0337141 | − | 0.207541i | ||||
\(759\) | 378443.i | 0.656927i | ||||||||
\(760\) | −26777.0 | − | 106981.i | −0.0463591 | − | 0.185216i | ||||
\(761\) | −598676. | −1.03377 | −0.516883 | − | 0.856056i | \(-0.672908\pi\) | ||||
−0.516883 | + | 0.856056i | \(0.672908\pi\) | |||||||
\(762\) | 932011. | − | 151401.i | 1.60513 | − | 0.260747i | ||||
\(763\) | 1.15309e6 | − | 203321.i | 1.98068 | − | 0.349247i | ||||
\(764\) | −178470. | − | 534827.i | −0.305759 | − | 0.916277i | ||||
\(765\) | −28982.5 | + | 24319.2i | −0.0495237 | + | 0.0415553i | ||||
\(766\) | 678777. | − | 236732.i | 1.15683 | − | 0.403459i | ||||
\(767\) | 636238. | + | 367332.i | 1.08151 | + | 0.624407i | ||||
\(768\) | −98029.2 | + | 904542.i | −0.166201 | + | 1.53358i | ||||
\(769\) | 474291. | − | 172628.i | 0.802033 | − | 0.291916i | 0.0917044 | − | 0.995786i | \(-0.470769\pi\) |
0.710329 | + | 0.703870i | \(0.248546\pi\) | |||||||
\(770\) | 175038. | − | 202976.i | 0.295224 | − | 0.342344i | ||||
\(771\) | −772204. | + | 445832.i | −1.29904 | + | 0.750003i | ||||
\(772\) | 323272. | + | 596542.i | 0.542417 | + | 1.00094i | ||||
\(773\) | 150576. | − | 853958.i | 0.251997 | − | 1.42915i | −0.551666 | − | 0.834065i | \(-0.686008\pi\) |
0.803664 | − | 0.595084i | \(-0.202881\pi\) | |||||||
\(774\) | 1.24683e6 | + | 472958.i | 2.08126 | + | 0.789479i | ||||
\(775\) | 313629. | − | 373768.i | 0.522171 | − | 0.622299i | ||||
\(776\) | −157304. | + | 21213.9i | −0.261226 | + | 0.0352287i | ||||
\(777\) | 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 | ||||
\(782\) | −37914.9 | + | 30952.3i | −0.0620008 | + | 0.0506150i | ||||
\(783\) | 200558. | − | 239016.i | 0.327127 | − | 0.389855i | ||||
\(784\) | 1.29283e6 | + | 551240.i | 2.10333 | + | 0.896828i | ||||
\(785\) | 11631.9 | − | 65967.8i | 0.0188761 | − | 0.107051i | ||||
\(786\) | −2729.74 | + | 202279.i | −0.00441852 | + | 0.327420i | ||||
\(787\) | −189253. | + | 109266.i | −0.305559 | + | 0.176414i | −0.644937 | − | 0.764236i | \(-0.723117\pi\) |
0.339379 | + | 0.940650i | \(0.389783\pi\) | |||||||
\(788\) | −151853. | + | 743304.i | −0.244551 | + | 1.19706i | ||||
\(789\) | −940157. | + | 342189.i | −1.51024 | + | 0.549683i | ||||
\(790\) | 113596. | − | 190762.i | 0.182016 | − | 0.305660i | ||||
\(791\) | 852926. | + | 492437.i | 1.36320 | + | 0.787042i | ||||
\(792\) | 241122. | − | 1.10408e6i | 0.384402 | − | 1.76015i | ||||
\(793\) | 194868. | − | 163514.i | 0.309881 | − | 0.260021i | ||||
\(794\) | 264063. | + | 50244.6i | 0.418858 | + | 0.0796981i | ||||
\(795\) | 164459. | − | 28998.5i | 0.260209 | − | 0.0458819i | ||||
\(796\) | 126212. | + | 158934.i | 0.199194 | + | 0.250837i | ||||
\(797\) | 599436. | 0.943683 | 0.471841 | − | 0.881684i | \(-0.343590\pi\) | ||||
0.471841 | + | 0.881684i | \(0.343590\pi\) | |||||||
\(798\) | −1.60601e6 | + | 769423.i | −2.52199 | + | 1.20826i | ||||
\(799\) | 128172.i | 0.200771i | ||||||||
\(800\) | −363637. | − | 498046.i | −0.568183 | − | 0.778196i | ||||
\(801\) | 296709. | + | 1.68272e6i | 0.462451 | + | 2.62269i | ||||
\(802\) | −357514. | − | 68025.8i | −0.555833 | − | 0.105761i | ||||
\(803\) | 131410. | + | 156608.i | 0.203796 | + | 0.242875i | ||||
\(804\) | −901327. | − | 798726.i | −1.39434 | − | 1.23562i | ||||
\(805\) | −36570.4 | + | 63341.8i | −0.0564336 | + | 0.0977459i | ||||
\(806\) | 324217. | − | 544459.i | 0.499075 | − | 0.838098i | ||||
\(807\) | −297923. | − | 818537.i | −0.457464 | − | 1.25687i | ||||
\(808\) | 22974.8 | + | 72074.2i | 0.0351908 | + | 0.110397i | ||||
\(809\) | −237870. | − | 412003.i | −0.363448 | − | 0.629510i | 0.625078 | − | 0.780562i | \(-0.285067\pi\) |
−0.988526 | + | 0.151052i | \(0.951734\pi\) | |||||||
\(810\) | 805.454 | − | 59685.6i | 0.00122764 | − | 0.0909703i | ||||
\(811\) | 980200. | + | 172836.i | 1.49030 | + | 0.262780i | 0.858685 | − | 0.512504i | \(-0.171282\pi\) |
0.631613 | + | 0.775284i | \(0.282393\pi\) | |||||||
\(812\) | −1.02789e6 | + | 152770.i | −1.55896 | + | 0.231701i | ||||
\(813\) | 160617. | + | 134773.i | 0.243002 | + | 0.203903i | ||||
\(814\) | −325999. | + | 266133.i | −0.492003 | + | 0.401652i | ||||
\(815\) | −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 | ||||
\(820\) | 10867.7 | + | 4291.04i | 0.0161625 | + | 0.00638167i | ||||
\(821\) | 460557. | + | 386453.i | 0.683278 | + | 0.573338i | 0.916962 | − | 0.398974i | \(-0.130634\pi\) |
−0.233684 | + | 0.972313i | \(0.575078\pi\) | |||||||
\(822\) | −954257. | − | 361977.i | −1.41228 | − | 0.535719i | ||||
\(823\) | −764781. | − | 134851.i | −1.12911 | − | 0.199093i | −0.422274 | − | 0.906468i | \(-0.638768\pi\) |
−0.706838 | + | 0.707375i | \(0.749879\pi\) | |||||||
\(824\) | −221185. | + | 349617.i | −0.325763 | + | 0.514919i | ||||
\(825\) | 660606. | + | 1.14420e6i | 0.970588 | + | 1.68111i | ||||
\(826\) | 871881. | − | 1.01104e6i | 1.27790 | − | 1.48187i | ||||
\(827\) | 174561. | + | 479601.i | 0.255232 | + | 0.701244i | 0.999445 | + | 0.0333021i | \(0.0106024\pi\) |
−0.744213 | + | 0.667942i | \(0.767175\pi\) | |||||||
\(828\) | −8321.95 | + | 308279.i | −0.0121385 | + | 0.449660i | ||||
\(829\) | −239722. | + | 415211.i | −0.348819 | + | 0.604171i | −0.986040 | − | 0.166509i | \(-0.946750\pi\) |
0.637221 | + | 0.770681i | \(0.280084\pi\) | |||||||
\(830\) | −26822.8 | + | 9354.79i | −0.0389357 | + | 0.0135793i | ||||
\(831\) | −354137. | − | 422044.i | −0.512825 | − | 0.611161i | ||||
\(832\) | −569874. | − | 562737.i | −0.823251 | − | 0.812941i | ||||
\(833\) | −67625.2 | − | 383522.i | −0.0974583 | − | 0.552713i | ||||
\(834\) | −1.27625e6 | + | 207321.i | −1.83486 | + | 0.298065i | ||||
\(835\) | − | 12.1219i | − | 1.73859e-5i | ||||||
\(836\) | 82323.4 | − | 909054.i | 0.117791 | − | 1.30070i | ||||
\(837\) | 345750. | 0.493528 | ||||||||
\(838\) | 12920.7 | + | 79539.0i | 0.0183992 | + | 0.113264i | ||||
\(839\) | −991498. | + | 174828.i | −1.40854 | + | 0.248363i | −0.825646 | − | 0.564188i | \(-0.809189\pi\) |
−0.582890 | + | 0.812551i | \(0.698078\pi\) | |||||||
\(840\) | 253647. | − | 278564.i | 0.359477 | − | 0.394790i | ||||
\(841\) | −132297. | + | 111010.i | −0.187049 | + | 0.156953i | ||||
\(842\) | 322850. | + | 925701.i | 0.455382 | + | 1.30571i | ||||
\(843\) | 510115. | + | 294515.i | 0.717816 | + | 0.414431i | ||||
\(844\) | −8837.82 | + | 327389.i | −0.0124068 | + | 0.459600i | ||||
\(845\) | −43379.0 | + | 15788.7i | −0.0607528 | + | 0.0221122i | ||||
\(846\) | 611590. | + | 527410.i | 0.854515 | + | 0.736899i | ||||
\(847\) | 794849. | − | 458906.i | 1.10794 | − | 0.639671i | ||||
\(848\) | −644191. | − | 34805.0i | −0.895825 | − | 0.0484006i | ||||
\(849\) | 364180. | − | 2.06537e6i | 0.505243 | − | 2.86538i | ||||
\(850\) | −60604.0 | + | 159767.i | −0.0838810 | + | 0.221130i | ||||
\(851\) | 73818.2 | − | 87973.1i | 0.101931 | − | 0.121476i | ||||
\(852\) | 1.58982e6 | + | 627731.i | 2.19012 | + | 0.864757i | ||||
\(853\) | −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 | \(0.930255\pi\) | |||||||
\(858\) | 1.08513e6 | + | 1.32923e6i | 1.47403 | + | 1.80561i | ||||
\(859\) | −355917. | + | 424166.i | −0.482350 | + | 0.574843i | −0.951255 | − | 0.308406i | \(-0.900204\pi\) |
0.468904 | + | 0.883249i | \(0.344649\pi\) | |||||||
\(860\) | −225385. | + | 33497.8i | −0.304740 | + | 0.0452918i | ||||
\(861\) | 32763.0 | − | 185808.i | 0.0441954 | − | 0.250645i | ||||
\(862\) | 836295. | + | 11285.8i | 1.12550 | + | 0.0151886i | ||||
\(863\) | −82237.3 | + | 47479.7i | −0.110420 | + | 0.0637509i | −0.554193 | − | 0.832388i | \(-0.686973\pi\) |
0.443773 | + | 0.896139i | \(0.353640\pi\) | |||||||
\(864\) | 104723. | − | 424251.i | 0.140286 | − | 0.568323i | ||||
\(865\) | −104595. | + | 38069.3i | −0.139790 | + | 0.0508795i | ||||
\(866\) | −80440.0 | − | 47900.8i | −0.107260 | − | 0.0638715i | ||||
\(867\) | 943679. | + | 544833.i | 1.25541 | + | 0.724812i | ||||
\(868\) | −861842. | − | 763736.i | −1.14390 | − | 1.01369i | ||||
\(869\) | 1.40772e6 | − | 1.18121e6i | 1.86413 | − | 1.56419i | ||||
\(870\) | −36226.2 | + | 190389.i | −0.0478612 | + | 0.251538i | ||||
\(871\) | 1.04400e6 | − | 184085.i | 1.37614 | − | 0.242651i | ||||
\(872\) | −320366. | + | 780377.i | −0.421321 | + | 1.02629i | ||||
\(873\) | 277125. | 0.363620 | ||||||||
\(874\) | 24300.4 | + | 247897.i | 0.0318119 | + | 0.324525i | ||||
\(875\) | 520356.i | 0.679649i | ||||||||
\(876\) | 178705. | + | 225036.i | 0.232877 | + | 0.293253i | ||||
\(877\) | 136354. | + | 773300.i | 0.177283 | + | 1.00542i | 0.935475 | + | 0.353392i | \(0.114972\pi\) |
−0.758192 | + | 0.652031i | \(0.773917\pi\) | |||||||
\(878\) | 61421.4 | − | 322804.i | 0.0796766 | − | 0.418745i | ||||
\(879\) | −1.39999e6 | − | 1.66845e6i | −1.81196 | − | 2.15941i | ||||
\(880\) | 56159.3 | + | 184757.i | 0.0725198 | + | 0.238580i | ||||
\(881\) | −486077. | + | 841910.i | −0.626258 | + | 1.08471i | 0.362038 | + | 0.932163i | \(0.382081\pi\) |
−0.988296 | + | 0.152547i | \(0.951252\pi\) | |||||||
\(882\) | −2.10829e6 | − | 1.25545e6i | −2.71014 | − | 1.61385i | ||||
\(883\) | −192146. | − | 527917.i | −0.246439 | − | 0.677087i | −0.999810 | − | 0.0194905i | \(-0.993796\pi\) |
0.753371 | − | 0.657596i | \(-0.228427\pi\) | |||||||
\(884\) | −44419.9 | + | 217431.i | −0.0568425 | + | 0.278238i | ||||
\(885\) | −124492. | − | 215627.i | −0.158948 | − | 0.275306i | ||||
\(886\) | −1.52711e6 | − | 20608.2i | −1.94537 | − | 0.0262527i | ||||
\(887\) | 165245. | + | 29137.2i | 0.210030 | + | 0.0370340i | 0.277673 | − | 0.960676i | \(-0.410437\pi\) |
−0.0676428 | + | 0.997710i | \(0.521548\pi\) | |||||||
\(888\) | −468159. | + | 361580.i | −0.593700 | + | 0.458542i | ||||
\(889\) | 1.15705e6 | + | 970882.i | 1.46403 | + | 1.22846i | ||||
\(890\) | −184637. | − | 226171.i | −0.233098 | − | 0.285533i | ||||
\(891\) | 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 | ||||
\(896\) | −1.19818e6 | + | 826194.i | −1.49247 | + | 1.02912i | ||||
\(897\) | −358701. | − | 300986.i | −0.445808 | − | 0.374077i | ||||
\(898\) | 436706. | − | 1.15126e6i | 0.541547 | − | 1.42765i | ||||
\(899\) | 583384. | + | 102866.i | 0.721830 | + | 0.127278i | ||||
\(900\) | 512969. | + | 946594.i | 0.633294 | + | 1.16864i | ||||
\(901\) | 89380.7 | + | 154812.i | 0.110102 | + | 0.190702i | ||||
\(902\) | 73236.5 | + | 63156.2i | 0.0900149 | + | 0.0776252i | ||||
\(903\) | 1.25846e6 | + | 3.45759e6i | 1.54335 | + | 4.24031i | ||||
\(904\) | −628360. | + | 329624.i | −0.768903 | + | 0.403350i | ||||
\(905\) | −33016.3 | + | 57186.0i | −0.0403117 | + | 0.0698220i | ||||
\(906\) | 261180. | + | 748878.i | 0.318188 | + | 0.912335i | ||||
\(907\) | −335102. | − | 399359.i | −0.407345 | − | 0.485455i | 0.522900 | − | 0.852394i | \(-0.324850\pi\) |
−0.930245 | + | 0.366939i | \(0.880406\pi\) | |||||||
\(908\) | 317812. | + | 952398.i | 0.385477 | + | 1.15517i | ||||
\(909\) | −22934.4 | − | 130067.i | −0.0277562 | − | 0.157413i | ||||
\(910\) | 53174.8 | + | 327339.i | 0.0642130 | + | 0.395290i | ||||
\(911\) | − | 877414.i | − | 1.05723i | −0.848863 | − | 0.528613i | \(-0.822712\pi\) | ||
0.848863 | − | 0.528613i | \(-0.177288\pi\) | |||||||
\(912\) | 150154. | − | 1.27420e6i | 0.180530 | − | 1.53196i | ||||
\(913\) | −235122. | −0.282066 | ||||||||
\(914\) | 695497. | − | 112980.i | 0.832535 | − | 0.135242i | ||||
\(915\) | −84902.7 | + | 14970.6i | −0.101410 | + | 0.0178813i | ||||
\(916\) | 250782. | − | 83685.0i | 0.298886 | − | 0.0997371i | ||||
\(917\) | −247894. | + | 208008.i | −0.294800 | + | 0.247367i | ||||
\(918\) | −114331. | + | 39874.5i | −0.135669 | + | 0.0473162i | ||||
\(919\) | 172580. | + | 99639.0i | 0.204343 | + | 0.117977i | 0.598679 | − | 0.800989i | \(-0.295692\pi\) |
−0.394337 | + | 0.918966i | \(0.629026\pi\) | |||||||
\(920\) | −24479.2 | − | 46664.6i | −0.0289216 | − | 0.0551330i | ||||
\(921\) | −848135. | + | 308696.i | −0.999875 | + | 0.363925i | ||||
\(922\) | −505691. | + | 586404.i | −0.594871 | + | 0.689818i | ||||
\(923\) | −1.30301e6 | + | 752295.i | −1.52949 | + | 0.883049i | ||||
\(924\) | 2.74154e6 | − | 1.48567e6i | 3.21108 | − | 1.74012i | ||||
\(925\) | 69620.7 | − | 394839.i | 0.0813683 | − | 0.461462i | ||||
\(926\) | 1.34934e6 | + | 511844.i | 1.57362 | + | 0.596919i | ||||
\(927\) | 464286. | − | 553314.i | 0.540289 | − | 0.643891i | ||||
\(928\) | 302920. | − | 684681.i | 0.351748 | − | 0.795046i | ||||
\(929\) | −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 | ||||
\(934\) | −252488. | + | 206121.i | −0.289432 | + | 0.236281i | ||||
\(935\) | 34394.0 | − | 40989.2i | 0.0393423 | − | 0.0468863i | ||||
\(936\) | 854716. | + | 1.10665e6i | 0.975596 | + | 1.26316i | ||||
\(937\) | −8448.90 | + | 47916.1i | −0.00962323 | + | 0.0545760i | −0.989241 | − | 0.146293i | \(-0.953266\pi\) |
0.979618 | + | 0.200870i | \(0.0643767\pi\) | |||||||
\(938\) | 25995.1 | − | 1.92628e6i | 0.0295451 | − | 2.18934i | ||||
\(939\) | 1.07712e6 | − | 621877.i | 1.22161 | − | 0.705299i | ||||
\(940\) | −135202. | − | 27621.0i | −0.153013 | − | 0.0312597i | ||||
\(941\) | 185075. | − | 67361.8i | 0.209011 | − | 0.0760737i | −0.235393 | − | 0.971900i | \(-0.575638\pi\) |
0.444404 | + | 0.895827i | \(0.353416\pi\) | |||||||
\(942\) | 398727. | − | 669584.i | 0.449339 | − | 0.754577i | ||||
\(943\) | −22854.6 | − | 13195.1i | −0.0257010 | − | 0.0148385i | ||||
\(944\) | 279735. | + | 920290.i | 0.313908 | + | 1.03272i | ||||
\(945\) | −138612. | + | 116309.i | −0.155216 | + | 0.130242i | ||||
\(946\) | −1.85272e6 | − | 352526.i | −2.07027 | − | 0.393921i | ||||
\(947\) | −1.48704e6 | + | 262205.i | −1.65814 | + | 0.292375i | −0.922788 | − | 0.385308i | \(-0.874095\pi\) |
−0.735354 | + | 0.677683i | \(0.762984\pi\) | |||||||
\(948\) | 2.02280e6 | − | 1.60634e6i | 2.25079 | − | 1.78739i | ||||
\(949\) | −252952. | −0.280870 | ||||||||
\(950\) | 506197. | + | 707085.i | 0.560883 | + | 0.783474i | ||||
\(951\) | 1.92494e6i | 2.12842i | ||||||||
\(952\) | 373071. | + | 153156.i | 0.411640 | + | 0.168989i | ||||
\(953\) | 39130.1 | + | 221918.i | 0.0430849 | + | 0.244347i | 0.998743 | − | 0.0501334i | \(-0.0159646\pi\) |
−0.955658 | + | 0.294480i | \(0.904854\pi\) | |||||||
\(954\) | 1.10649e6 | + | 210537.i | 1.21577 | + | 0.231330i | ||||
\(955\) | −108119. | − | 128851.i | −0.118548 | − | 0.141280i | ||||
\(956\) | 776282. | − | 876000.i | 0.849384 | − | 0.958491i | ||||
\(957\) | −802041. | + | 1.38918e6i | −0.875735 | + | 1.51682i | ||||
\(958\) | −572321. | + | 961100.i | −0.623603 | + | 1.04722i | ||||
\(959\) | −558382. | − | 1.53414e6i | −0.607147 | − | 1.66812i | ||||
\(960\) | 71902.0 | + | 261733.i | 0.0780186 | + | 0.283999i | ||||
\(961\) | −133542. | − | 231302.i | −0.144601 | − | 0.250457i | ||||
\(962\) | 7026.23 | − | 520656.i | 0.00759228 | − | 0.562601i | ||||
\(963\) | 892930. | + | 157448.i | 0.962864 | + | 0.169779i | ||||
\(964\) | 215488. | + | 1.44988e6i | 0.231883 | + | 1.56019i | ||||
\(965\) | 155060. | + | 130111.i | 0.166512 | + | 0.139720i | ||||
\(966\) | −659166. | + | 538117.i | −0.706384 | + | 0.576664i | ||||
\(967\) | −403415. | + | 1.10837e6i | −0.431419 | + | 1.18531i | 0.513523 | + | 0.858076i | \(0.328340\pi\) |
−0.944942 | + | 0.327238i | \(0.893882\pi\) | |||||||
\(968\) | −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 | \(0.253478\pi\) |
−0.995183 | + | 0.0980349i | \(0.968744\pi\) | |||||||
\(972\) | 458151. | − | 1.16033e6i | 0.484926 | − | 1.22814i | ||||
\(973\) | −1.58441e6 | − | 1.32948e6i | −1.67356 | − | 1.40429i | ||||
\(974\) | 463696. | + | 175893.i | 0.488783 | + | 0.185409i | ||||
\(975\) | −1.60991e6 | − | 283871.i | −1.69353 | − | 0.298615i | ||||
\(976\) | 332567. | + | 17968.3i | 0.349124 | + | 0.0188628i | ||||
\(977\) | −528064. | − | 914633.i | −0.553219 | − | 0.958204i | −0.998040 | − | 0.0625839i | \(-0.980066\pi\) |
0.444821 | − | 0.895620i | \(-0.353267\pi\) | |||||||
\(978\) | −563298. | + | 653205.i | −0.588925 | + | 0.682923i | ||||
\(979\) | −826506. | − | 2.27081e6i | −0.862344 | − | 2.36927i | ||||
\(980\) | 419129. | + | 11314.3i | 0.436411 | + | 0.0117808i | ||||
\(981\) | 736407. | − | 1.27549e6i | 0.765208 | − | 1.32538i | ||||
\(982\) | −329951. | + | 115074.i | −0.342158 | + | 0.119332i | ||||
\(983\) | −125795. | − | 149916.i | −0.130183 | − | 0.155146i | 0.697015 | − | 0.717057i | \(-0.254511\pi\) |
−0.827198 | + | 0.561910i | \(0.810067\pi\) | |||||||
\(984\) | 100510. | + | 91519.2i | 0.103805 | + | 0.0945197i | ||||
\(985\) | 39301.5 | + | 222890.i | 0.0405076 | + | 0.229730i | ||||
\(986\) | −204775. | + | 33264.7i | −0.210631 | + | 0.0342161i | ||||
\(987\) | 2.22833e6i | 2.28742i | ||||||||
\(988\) | 796159. | + | 801025.i | 0.815616 | + | 0.820601i | ||||
\(989\) | 514656. | 0.526168 | ||||||||
\(990\) | −54058.5 | − | 332779.i | −0.0551561 | − | 0.339536i | ||||
\(991\) | 404281. | − | 71285.6i | 0.411657 | − | 0.0725863i | 0.0360156 | − | 0.999351i | \(-0.488533\pi\) |
0.375642 | + | 0.926765i | \(0.377422\pi\) | |||||||
\(992\) | 796975. | − | 230551.i | 0.809882 | − | 0.234284i | ||||
\(993\) | 1.28280e6 | − | 1.07639e6i | 1.30094 | − | 1.09162i | ||||
\(994\) | 900396. | + | 2.58169e6i | 0.911298 | + | 2.61295i | ||||
\(995\) | 52434.6 | + | 30273.2i | 0.0529630 | + | 0.0305782i | ||||
\(996\) | −330372. | − | 8918.33i | −0.333031 | − | 0.00899011i | ||||
\(997\) | 820282. | − | 298558.i | 0.825226 | − | 0.300358i | 0.105328 | − | 0.994438i | \(-0.466411\pi\) |
0.719898 | + | 0.694080i | \(0.244188\pi\) | |||||||
\(998\) | −1.11498e6 | − | 961514.i | −1.11945 | − | 0.965372i | ||||
\(999\) | 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.23.3 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.12 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.12 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.3 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.3 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.12 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.3 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.12 | yes | 228 | 19.5 | even | 9 | inner |