Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,6,Mod(5,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.g (of order \(6\), degree \(2\), 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: | \(3.36806021607\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 171 x^{14} + 21495 x^{12} - 1128902 x^{10} + 42970860 x^{8} - 655075344 x^{6} + \cdots + 90230547456 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 3^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.3 | ||
Root | \(-3.16536 + 1.82752i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.17 |
Dual form | 21.6.g.c.5.3 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.16536 | + | 1.82752i | −0.559562 | + | 0.323064i | −0.752970 | − | 0.658055i | \(-0.771379\pi\) |
0.193407 | + | 0.981119i | \(0.438046\pi\) | |||||||
\(3\) | 7.01741 | − | 13.9196i | 0.450167 | − | 0.892944i | ||||
\(4\) | −9.32032 | + | 16.1433i | −0.291260 | + | 0.504477i | ||||
\(5\) | −37.1622 | − | 64.3668i | −0.664777 | − | 1.15143i | −0.979346 | − | 0.202193i | \(-0.935193\pi\) |
0.314568 | − | 0.949235i | \(-0.398140\pi\) | |||||||
\(6\) | 3.22580 | + | 56.8851i | 0.0365813 | + | 0.645091i | ||||
\(7\) | 45.3051 | − | 121.468i | 0.349463 | − | 0.936950i | ||||
\(8\) | − | 185.094i | − | 1.02251i | ||||||
\(9\) | −144.512 | − | 195.359i | −0.594700 | − | 0.803948i | ||||
\(10\) | 235.264 | + | 135.830i | 0.743969 | + | 0.429531i | ||||
\(11\) | −34.1140 | − | 19.6957i | −0.0850062 | − | 0.0490783i | 0.456894 | − | 0.889521i | \(-0.348962\pi\) |
−0.541901 | + | 0.840443i | \(0.682295\pi\) | |||||||
\(12\) | 159.304 | + | 243.019i | 0.319354 | + | 0.487178i | ||||
\(13\) | 589.288i | 0.967096i | 0.875318 | + | 0.483548i | \(0.160652\pi\) | ||||
−0.875318 | + | 0.483548i | \(0.839348\pi\) | |||||||
\(14\) | 78.5784 | + | 467.286i | 0.107148 | + | 0.637181i | ||||
\(15\) | −1156.74 | + | 65.5958i | −1.32742 | + | 0.0752745i | ||||
\(16\) | 40.0132 | + | 69.3048i | 0.0390753 | + | 0.0676805i | ||||
\(17\) | −618.755 | + | 1071.71i | −0.519274 | + | 0.899409i | 0.480475 | + | 0.877008i | \(0.340464\pi\) |
−0.999749 | + | 0.0224003i | \(0.992869\pi\) | |||||||
\(18\) | 814.457 | + | 354.284i | 0.592498 | + | 0.257733i | ||||
\(19\) | 2396.97 | − | 1383.89i | 1.52328 | − | 0.879465i | 0.523657 | − | 0.851929i | \(-0.324567\pi\) |
0.999621 | − | 0.0275354i | \(-0.00876591\pi\) | |||||||
\(20\) | 1385.45 | 0.774492 | ||||||||
\(21\) | −1372.86 | − | 1483.02i | −0.679327 | − | 0.733835i | ||||
\(22\) | 143.977 | 0.0634217 | ||||||||
\(23\) | 401.189 | − | 231.627i | 0.158136 | − | 0.0912997i | −0.418844 | − | 0.908058i | \(-0.637565\pi\) |
0.576980 | + | 0.816759i | \(0.304231\pi\) | |||||||
\(24\) | −2576.44 | − | 1298.88i | −0.913044 | − | 0.460300i | ||||
\(25\) | −1199.56 | + | 2077.69i | −0.383858 | + | 0.664861i | ||||
\(26\) | −1076.94 | − | 1865.31i | −0.312433 | − | 0.541150i | ||||
\(27\) | −3733.43 | + | 640.637i | −0.985595 | + | 0.169123i | ||||
\(28\) | 1538.63 | + | 1863.49i | 0.370885 | + | 0.449192i | ||||
\(29\) | − | 5294.57i | − | 1.16906i | −0.811373 | − | 0.584529i | \(-0.801279\pi\) | ||
0.811373 | − | 0.584529i | \(-0.198721\pi\) | |||||||
\(30\) | 3541.64 | − | 2321.61i | 0.718457 | − | 0.470962i | ||||
\(31\) | 2465.35 | + | 1423.37i | 0.460759 | + | 0.266019i | 0.712363 | − | 0.701811i | \(-0.247625\pi\) |
−0.251604 | + | 0.967830i | \(0.580958\pi\) | |||||||
\(32\) | 4876.16 | + | 2815.25i | 0.841788 | + | 0.486007i | ||||
\(33\) | −513.548 | + | 336.641i | −0.0820912 | + | 0.0538123i | ||||
\(34\) | − | 4523.16i | − | 0.671034i | ||||||
\(35\) | −9502.13 | + | 1597.87i | −1.31115 | + | 0.220481i | ||||
\(36\) | 4500.64 | − | 512.084i | 0.578785 | − | 0.0658545i | ||||
\(37\) | −3923.56 | − | 6795.80i | −0.471168 | − | 0.816087i | 0.528288 | − | 0.849065i | \(-0.322834\pi\) |
−0.999456 | + | 0.0329784i | \(0.989501\pi\) | |||||||
\(38\) | −5058.19 | + | 8761.05i | −0.568246 | + | 0.984231i | ||||
\(39\) | 8202.67 | + | 4135.28i | 0.863563 | + | 0.435354i | ||||
\(40\) | −11913.9 | + | 6878.49i | −1.17735 | + | 0.679741i | ||||
\(41\) | 12162.5 | 1.12996 | 0.564980 | − | 0.825105i | \(-0.308884\pi\) | ||||
0.564980 | + | 0.825105i | \(0.308884\pi\) | |||||||
\(42\) | 7055.86 | + | 2185.35i | 0.617201 | + | 0.191161i | ||||
\(43\) | 5350.18 | 0.441262 | 0.220631 | − | 0.975357i | \(-0.429188\pi\) | ||||
0.220631 | + | 0.975357i | \(0.429188\pi\) | |||||||
\(44\) | 635.906 | − | 367.140i | 0.0495178 | − | 0.0285891i | ||||
\(45\) | −7204.27 | + | 16561.8i | −0.530345 | + | 1.21920i | ||||
\(46\) | −846.606 | + | 1466.37i | −0.0589912 | + | 0.102176i | ||||
\(47\) | −3377.99 | − | 5850.86i | −0.223056 | − | 0.386345i | 0.732678 | − | 0.680575i | \(-0.238270\pi\) |
−0.955734 | + | 0.294230i | \(0.904937\pi\) | |||||||
\(48\) | 1245.49 | − | 70.6281i | 0.0780253 | − | 0.00442460i | ||||
\(49\) | −12701.9 | − | 11006.2i | −0.755751 | − | 0.654860i | ||||
\(50\) | − | 8768.86i | − | 0.496042i | ||||||
\(51\) | 10575.8 | + | 16133.5i | 0.569362 | + | 0.868567i | ||||
\(52\) | −9513.04 | − | 5492.35i | −0.487878 | − | 0.281676i | ||||
\(53\) | 13866.6 | + | 8005.88i | 0.678078 | + | 0.391489i | 0.799131 | − | 0.601157i | \(-0.205294\pi\) |
−0.121052 | + | 0.992646i | \(0.538627\pi\) | |||||||
\(54\) | 10646.9 | − | 8850.78i | 0.496864 | − | 0.413045i | ||||
\(55\) | 2927.74i | 0.130505i | ||||||||
\(56\) | −22483.0 | − | 8385.69i | −0.958040 | − | 0.357329i | ||||
\(57\) | −2442.74 | − | 43076.3i | −0.0995841 | − | 1.75611i | ||||
\(58\) | 9675.96 | + | 16759.2i | 0.377680 | + | 0.654161i | ||||
\(59\) | −3873.32 | + | 6708.79i | −0.144862 | + | 0.250908i | −0.929321 | − | 0.369272i | \(-0.879607\pi\) |
0.784460 | + | 0.620180i | \(0.212940\pi\) | |||||||
\(60\) | 9722.29 | − | 19285.0i | 0.348651 | − | 0.691578i | ||||
\(61\) | 4864.96 | − | 2808.79i | 0.167400 | − | 0.0966484i | −0.413959 | − | 0.910295i | \(-0.635854\pi\) |
0.581359 | + | 0.813647i | \(0.302521\pi\) | |||||||
\(62\) | −10405.0 | −0.343765 | ||||||||
\(63\) | −30277.0 | + | 8702.80i | −0.961085 | + | 0.276253i | ||||
\(64\) | −23140.6 | −0.706195 | ||||||||
\(65\) | 37930.6 | − | 21899.2i | 1.11354 | − | 0.642903i | ||||
\(66\) | 1010.35 | − | 2004.11i | 0.0285503 | − | 0.0566320i | ||||
\(67\) | 6443.69 | − | 11160.8i | 0.175367 | − | 0.303745i | −0.764921 | − | 0.644124i | \(-0.777222\pi\) |
0.940288 | + | 0.340379i | \(0.110555\pi\) | |||||||
\(68\) | −11534.0 | − | 19977.4i | −0.302487 | − | 0.523923i | ||||
\(69\) | −408.849 | − | 7209.82i | −0.0103381 | − | 0.182306i | ||||
\(70\) | 27157.6 | − | 22423.2i | 0.662439 | − | 0.546956i | ||||
\(71\) | 60637.7i | 1.42757i | 0.700366 | + | 0.713784i | \(0.253020\pi\) | ||||
−0.700366 | + | 0.713784i | \(0.746980\pi\) | |||||||
\(72\) | −36159.8 | + | 26748.3i | −0.822044 | + | 0.608086i | ||||
\(73\) | 44722.8 | + | 25820.7i | 0.982249 | + | 0.567101i | 0.902948 | − | 0.429749i | \(-0.141398\pi\) |
0.0793003 | + | 0.996851i | \(0.474731\pi\) | |||||||
\(74\) | 24839.0 | + | 14340.8i | 0.527296 | + | 0.304434i | ||||
\(75\) | 20502.9 | + | 31277.4i | 0.420884 | + | 0.642062i | ||||
\(76\) | 51593.3i | 1.02461i | ||||||||
\(77\) | −3937.93 | + | 3251.44i | −0.0756905 | + | 0.0624954i | ||||
\(78\) | −33521.7 | + | 1900.93i | −0.623864 | + | 0.0353776i | ||||
\(79\) | −33686.1 | − | 58346.0i | −0.607272 | − | 1.05183i | −0.991688 | − | 0.128665i | \(-0.958931\pi\) |
0.384417 | − | 0.923160i | \(-0.374403\pi\) | |||||||
\(80\) | 2973.95 | − | 5151.04i | 0.0519528 | − | 0.0899849i | ||||
\(81\) | −17281.6 | + | 56463.5i | −0.292665 | + | 0.956215i | ||||
\(82\) | −38498.7 | + | 22227.2i | −0.632283 | + | 0.365049i | ||||
\(83\) | −8712.06 | −0.138812 | −0.0694058 | − | 0.997589i | \(-0.522110\pi\) | ||||
−0.0694058 | + | 0.997589i | \(0.522110\pi\) | |||||||
\(84\) | 36736.3 | − | 8340.29i | 0.568064 | − | 0.128968i | ||||
\(85\) | 91977.1 | 1.38081 | ||||||||
\(86\) | −16935.3 | + | 9777.57i | −0.246914 | + | 0.142556i | ||||
\(87\) | −73698.5 | − | 37154.2i | −1.04390 | − | 0.526271i | ||||
\(88\) | −3645.55 | + | 6314.28i | −0.0501830 | + | 0.0869196i | ||||
\(89\) | 9056.02 | + | 15685.5i | 0.121189 | + | 0.209905i | 0.920237 | − | 0.391362i | \(-0.127996\pi\) |
−0.799048 | + | 0.601267i | \(0.794663\pi\) | |||||||
\(90\) | −7462.85 | − | 65589.9i | −0.0971177 | − | 0.853554i | ||||
\(91\) | 71579.6 | + | 26697.8i | 0.906120 | + | 0.337965i | ||||
\(92\) | 8635.34i | 0.106368i | ||||||||
\(93\) | 37113.1 | − | 24328.4i | 0.444959 | − | 0.291679i | ||||
\(94\) | 21385.2 | + | 12346.7i | 0.249628 | + | 0.144123i | ||||
\(95\) | −178153. | − | 102857.i | −2.02528 | − | 1.16930i | ||||
\(96\) | 73405.3 | − | 48118.6i | 0.812922 | − | 0.532886i | ||||
\(97\) | − | 18641.1i | − | 0.201160i | −0.994929 | − | 0.100580i | \(-0.967930\pi\) | ||
0.994929 | − | 0.100580i | \(-0.0320698\pi\) | |||||||
\(98\) | 60320.3 | + | 11625.7i | 0.634451 | + | 0.122279i | ||||
\(99\) | 1082.14 | + | 9510.75i | 0.0110967 | + | 0.0975274i | ||||
\(100\) | −22360.5 | − | 38729.5i | −0.223605 | − | 0.387295i | ||||
\(101\) | 85299.1 | − | 147742.i | 0.832034 | − | 1.44113i | −0.0643885 | − | 0.997925i | \(-0.520510\pi\) |
0.896423 | − | 0.443200i | \(-0.146157\pi\) | |||||||
\(102\) | −62960.6 | − | 31740.8i | −0.599196 | − | 0.302077i | ||||
\(103\) | −50998.3 | + | 29443.9i | −0.473656 | + | 0.273465i | −0.717769 | − | 0.696282i | \(-0.754837\pi\) |
0.244113 | + | 0.969747i | \(0.421503\pi\) | |||||||
\(104\) | 109074. | 0.988864 | ||||||||
\(105\) | −44438.6 | + | 143479.i | −0.393357 | + | 1.27003i | ||||
\(106\) | −58523.7 | −0.505903 | ||||||||
\(107\) | −127810. | + | 73791.2i | −1.07921 | + | 0.623082i | −0.930683 | − | 0.365827i | \(-0.880786\pi\) |
−0.148526 | + | 0.988908i | \(0.547453\pi\) | |||||||
\(108\) | 24454.8 | − | 66240.7i | 0.201746 | − | 0.546469i | ||||
\(109\) | −13078.0 | + | 22651.8i | −0.105433 | + | 0.182615i | −0.913915 | − | 0.405906i | \(-0.866956\pi\) |
0.808482 | + | 0.588521i | \(0.200289\pi\) | |||||||
\(110\) | −5350.52 | − | 9267.36i | −0.0421613 | − | 0.0730255i | ||||
\(111\) | −122128. | + | 6925.56i | −0.940824 | + | 0.0533516i | ||||
\(112\) | 10231.1 | − | 1720.45i | 0.0770686 | − | 0.0129598i | ||||
\(113\) | 19094.4i | 0.140672i | 0.997523 | + | 0.0703362i | \(0.0224072\pi\) | ||||
−0.997523 | + | 0.0703362i | \(0.977593\pi\) | |||||||
\(114\) | 86455.1 | + | 131888.i | 0.623058 | + | 0.950480i | ||||
\(115\) | −29818.1 | − | 17215.5i | −0.210250 | − | 0.121388i | ||||
\(116\) | 85471.7 | + | 49347.1i | 0.589763 | + | 0.340500i | ||||
\(117\) | 115123. | − | 85159.2i | 0.777495 | − | 0.575131i | ||||
\(118\) | − | 28314.3i | − | 0.187198i | ||||||
\(119\) | 102146. | + | 123713.i | 0.661234 | + | 0.800844i | ||||
\(120\) | 12141.4 | + | 214106.i | 0.0769688 | + | 1.35730i | ||||
\(121\) | −79749.7 | − | 138130.i | −0.495183 | − | 0.857681i | ||||
\(122\) | −10266.3 | + | 17781.7i | −0.0624471 | + | 0.108162i | ||||
\(123\) | 85349.1 | − | 169297.i | 0.508670 | − | 1.00899i | ||||
\(124\) | −45955.7 | + | 26532.5i | −0.268401 | + | 0.154962i | ||||
\(125\) | −53951.2 | −0.308835 | ||||||||
\(126\) | 79933.2 | − | 82879.5i | 0.448540 | − | 0.465072i | ||||
\(127\) | −42178.1 | −0.232048 | −0.116024 | − | 0.993246i | \(-0.537015\pi\) | ||||
−0.116024 | + | 0.993246i | \(0.537015\pi\) | |||||||
\(128\) | −82788.7 | + | 47798.1i | −0.446628 | + | 0.257861i | ||||
\(129\) | 37544.4 | − | 74472.5i | 0.198642 | − | 0.394023i | ||||
\(130\) | −80042.7 | + | 138638.i | −0.415397 | + | 0.719489i | ||||
\(131\) | 141536. | + | 245147.i | 0.720590 | + | 1.24810i | 0.960763 | + | 0.277369i | \(0.0894625\pi\) |
−0.240173 | + | 0.970730i | \(0.577204\pi\) | |||||||
\(132\) | −648.048 | − | 11427.9i | −0.00323722 | − | 0.0570865i | ||||
\(133\) | −59503.5 | − | 353853.i | −0.291685 | − | 1.73458i | ||||
\(134\) | 47104.0i | 0.226619i | ||||||||
\(135\) | 179978. | + | 216501.i | 0.849934 | + | 1.02241i | ||||
\(136\) | 198368. | + | 114528.i | 0.919653 | + | 0.530962i | ||||
\(137\) | −228359. | − | 131843.i | −1.03948 | − | 0.600145i | −0.119795 | − | 0.992799i | \(-0.538224\pi\) |
−0.919686 | + | 0.392654i | \(0.871557\pi\) | |||||||
\(138\) | 14470.3 | + | 22074.5i | 0.0646814 | + | 0.0986720i | ||||
\(139\) | 363744.i | 1.59683i | 0.602108 | + | 0.798415i | \(0.294328\pi\) | ||||
−0.602108 | + | 0.798415i | \(0.705672\pi\) | |||||||
\(140\) | 62768.1 | − | 168288.i | 0.270657 | − | 0.725660i | ||||
\(141\) | −105147. | + | 5962.57i | −0.445397 | + | 0.0252572i | ||||
\(142\) | −110817. | − | 191940.i | −0.461195 | − | 0.798813i | ||||
\(143\) | 11606.4 | − | 20103.0i | 0.0474634 | − | 0.0822091i | ||||
\(144\) | 7756.96 | − | 17832.3i | 0.0311735 | − | 0.0716641i | ||||
\(145\) | −340795. | + | 196758.i | −1.34609 | + | 0.777163i | ||||
\(146\) | −188752. | −0.732839 | ||||||||
\(147\) | −242337. | + | 99570.5i | −0.924967 | + | 0.380047i | ||||
\(148\) | 146275. | 0.548929 | ||||||||
\(149\) | 334179. | − | 192939.i | 1.23314 | − | 0.711957i | 0.265461 | − | 0.964122i | \(-0.414476\pi\) |
0.967684 | + | 0.252165i | \(0.0811426\pi\) | |||||||
\(150\) | −122059. | − | 61534.7i | −0.442938 | − | 0.223302i | ||||
\(151\) | 138266. | − | 239484.i | 0.493485 | − | 0.854741i | −0.506487 | − | 0.862248i | \(-0.669056\pi\) |
0.999972 | + | 0.00750641i | \(0.00238939\pi\) | |||||||
\(152\) | −256150. | − | 443665.i | −0.899260 | − | 1.55756i | ||||
\(153\) | 298787. | − | 33996.1i | 1.03189 | − | 0.117409i | ||||
\(154\) | 6522.91 | − | 17488.6i | 0.0221636 | − | 0.0594229i | ||||
\(155\) | − | 211582.i | − | 0.707375i | ||||||
\(156\) | −143208. | + | 93875.8i | −0.471148 | + | 0.308846i | ||||
\(157\) | 328216. | + | 189496.i | 1.06270 | + | 0.613550i | 0.926178 | − | 0.377087i | \(-0.123074\pi\) |
0.136522 | + | 0.990637i | \(0.456408\pi\) | |||||||
\(158\) | 213257. | + | 123124.i | 0.679613 | + | 0.392375i | ||||
\(159\) | 208746. | − | 136837.i | 0.654826 | − | 0.429251i | ||||
\(160\) | − | 418484.i | − | 1.29235i | ||||||
\(161\) | −9959.30 | − | 59225.5i | −0.0302806 | − | 0.180071i | ||||
\(162\) | −48486.0 | − | 210310.i | −0.145154 | − | 0.629611i | ||||
\(163\) | 115756. | + | 200496.i | 0.341252 | + | 0.591067i | 0.984666 | − | 0.174453i | \(-0.0558156\pi\) |
−0.643413 | + | 0.765519i | \(0.722482\pi\) | |||||||
\(164\) | −113358. | + | 196342.i | −0.329112 | + | 0.570038i | ||||
\(165\) | 40753.1 | + | 20545.2i | 0.116533 | + | 0.0587489i | ||||
\(166\) | 27576.8 | − | 15921.5i | 0.0776737 | − | 0.0448449i | ||||
\(167\) | −173708. | −0.481981 | −0.240990 | − | 0.970527i | \(-0.577472\pi\) | ||||
−0.240990 | + | 0.970527i | \(0.577472\pi\) | |||||||
\(168\) | −274498. | + | 254109.i | −0.750353 | + | 0.694618i | ||||
\(169\) | 24032.3 | 0.0647260 | ||||||||
\(170\) | −291141. | + | 168090.i | −0.772647 | + | 0.446088i | ||||
\(171\) | −616748. | − | 268282.i | −1.61294 | − | 0.701619i | ||||
\(172\) | −49865.4 | + | 86369.3i | −0.128522 | + | 0.222607i | ||||
\(173\) | 245255. | + | 424794.i | 0.623021 | + | 1.07910i | 0.988920 | + | 0.148450i | \(0.0474283\pi\) |
−0.365899 | + | 0.930655i | \(0.619238\pi\) | |||||||
\(174\) | 301183. | − | 17079.2i | 0.754148 | − | 0.0427657i | ||||
\(175\) | 198027. | + | 239838.i | 0.488798 | + | 0.592000i | ||||
\(176\) | − | 3152.35i | − | 0.00767101i | ||||||
\(177\) | 66203.2 | + | 100993.i | 0.158835 | + | 0.242304i | ||||
\(178\) | −57331.2 | − | 33100.2i | −0.135625 | − | 0.0783034i | ||||
\(179\) | 555400. | + | 320660.i | 1.29561 | + | 0.748019i | 0.979642 | − | 0.200752i | \(-0.0643385\pi\) |
0.315965 | + | 0.948771i | \(0.397672\pi\) | |||||||
\(180\) | −200215. | − | 270661.i | −0.460590 | − | 0.622651i | ||||
\(181\) | 46939.3i | 0.106498i | 0.998581 | + | 0.0532489i | \(0.0169577\pi\) | ||||
−0.998581 | + | 0.0532489i | \(0.983042\pi\) | |||||||
\(182\) | −275366. | + | 46305.3i | −0.616215 | + | 0.103622i | ||||
\(183\) | −4957.85 | − | 87428.9i | −0.0109437 | − | 0.192987i | ||||
\(184\) | −42872.7 | − | 74257.7i | −0.0933547 | − | 0.161695i | ||||
\(185\) | −291616. | + | 505094.i | −0.626443 | + | 1.08503i | ||||
\(186\) | −73015.8 | + | 144833.i | −0.154751 | + | 0.306963i | ||||
\(187\) | 42216.4 | − | 24373.6i | 0.0882829 | − | 0.0509702i | ||||
\(188\) | 125936. | 0.259869 | ||||||||
\(189\) | −91326.4 | + | 482516.i | −0.185970 | + | 0.982555i | ||||
\(190\) | 751894. | 1.51103 | ||||||||
\(191\) | 659392. | − | 380700.i | 1.30786 | − | 0.755091i | 0.326118 | − | 0.945329i | \(-0.394259\pi\) |
0.981738 | + | 0.190238i | \(0.0609259\pi\) | |||||||
\(192\) | −162387. | + | 322108.i | −0.317906 | + | 0.630593i | ||||
\(193\) | −278157. | + | 481782.i | −0.537522 | + | 0.931015i | 0.461515 | + | 0.887133i | \(0.347306\pi\) |
−0.999037 | + | 0.0438828i | \(0.986027\pi\) | |||||||
\(194\) | 34067.0 | + | 59005.7i | 0.0649874 | + | 0.112561i | ||||
\(195\) | −38654.8 | − | 681656.i | −0.0727976 | − | 1.28374i | ||||
\(196\) | 296062. | − | 102469.i | 0.550481 | − | 0.190524i | ||||
\(197\) | − | 545896.i | − | 1.00218i | −0.865396 | − | 0.501088i | \(-0.832933\pi\) | ||
0.865396 | − | 0.501088i | \(-0.167067\pi\) | |||||||
\(198\) | −20806.5 | − | 28127.3i | −0.0377168 | − | 0.0509877i | ||||
\(199\) | −182905. | − | 105600.i | −0.327411 | − | 0.189031i | 0.327280 | − | 0.944927i | \(-0.393868\pi\) |
−0.654691 | + | 0.755897i | \(0.727201\pi\) | |||||||
\(200\) | 384568. | + | 222030.i | 0.679827 | + | 0.392498i | ||||
\(201\) | −110136. | − | 168014.i | −0.192283 | − | 0.293329i | ||||
\(202\) | 623544.i | 1.07520i | ||||||||
\(203\) | −643121. | − | 239871.i | −1.09535 | − | 0.408543i | ||||
\(204\) | −359017. | + | 20358.9i | −0.604004 | + | 0.0342514i | ||||
\(205\) | −451985. | − | 782860.i | −0.751171 | − | 1.30107i | ||||
\(206\) | 107619. | − | 186401.i | 0.176693 | − | 0.306042i | ||||
\(207\) | −103227. | − | 44903.2i | −0.167443 | − | 0.0728370i | ||||
\(208\) | −40840.5 | + | 23579.3i | −0.0654535 | + | 0.0377896i | ||||
\(209\) | −109027. | −0.172651 | ||||||||
\(210\) | −121547. | − | 535376.i | −0.190194 | − | 0.837743i | ||||
\(211\) | −670640. | −1.03701 | −0.518506 | − | 0.855074i | \(-0.673512\pi\) | ||||
−0.518506 | + | 0.855074i | \(0.673512\pi\) | |||||||
\(212\) | −258482. | + | 149235.i | −0.394994 | + | 0.228050i | ||||
\(213\) | 844054. | + | 425519.i | 1.27474 | + | 0.642644i | ||||
\(214\) | 269710. | − | 467152.i | 0.402590 | − | 0.697306i | ||||
\(215\) | −198824. | − | 344374.i | −0.293341 | − | 0.508082i | ||||
\(216\) | 118578. | + | 691035.i | 0.172930 | + | 1.00778i | ||||
\(217\) | 284586. | − | 234975.i | 0.410265 | − | 0.338744i | ||||
\(218\) | − | 95601.5i | − | 0.136246i | ||||||
\(219\) | 673252. | − | 441330.i | 0.948566 | − | 0.621803i | ||||
\(220\) | −47263.3 | − | 27287.5i | −0.0658366 | − | 0.0380108i | ||||
\(221\) | −631549. | − | 364625.i | −0.869814 | − | 0.502187i | ||||
\(222\) | 373923. | − | 245114.i | 0.509214 | − | 0.333800i | ||||
\(223\) | − | 18729.0i | − | 0.0252204i | −0.999920 | − | 0.0126102i | \(-0.995986\pi\) | ||
0.999920 | − | 0.0126102i | \(-0.00401406\pi\) | |||||||
\(224\) | 562878. | − | 464752.i | 0.749538 | − | 0.618872i | ||||
\(225\) | 579247. | − | 65906.9i | 0.762794 | − | 0.0867910i | ||||
\(226\) | −34895.4 | − | 60440.6i | −0.0454461 | − | 0.0787150i | ||||
\(227\) | −223523. | + | 387154.i | −0.287911 | + | 0.498677i | −0.973311 | − | 0.229490i | \(-0.926294\pi\) |
0.685400 | + | 0.728167i | \(0.259627\pi\) | |||||||
\(228\) | 718159. | + | 362051.i | 0.914921 | + | 0.461246i | ||||
\(229\) | −19052.9 | + | 11000.2i | −0.0240089 | + | 0.0138616i | −0.511956 | − | 0.859011i | \(-0.671079\pi\) |
0.487948 | + | 0.872873i | \(0.337746\pi\) | |||||||
\(230\) | 125847. | 0.156864 | ||||||||
\(231\) | 17624.7 | + | 77631.2i | 0.0217316 | + | 0.0957208i | ||||
\(232\) | −979993. | −1.19537 | ||||||||
\(233\) | −461670. | + | 266545.i | −0.557111 | + | 0.321648i | −0.751985 | − | 0.659180i | \(-0.770903\pi\) |
0.194874 | + | 0.980828i | \(0.437570\pi\) | |||||||
\(234\) | −208776. | + | 479950.i | −0.249253 | + | 0.573002i | ||||
\(235\) | −251067. | + | 434861.i | −0.296565 | + | 0.513666i | ||||
\(236\) | −72201.2 | − | 125056.i | −0.0843848 | − | 0.146159i | ||||
\(237\) | −1.04854e6 | + | 59460.1i | −1.21259 | + | 0.0687629i | ||||
\(238\) | −549418. | − | 204922.i | −0.628725 | − | 0.234502i | ||||
\(239\) | − | 269068.i | − | 0.304697i | −0.988327 | − | 0.152348i | \(-0.951316\pi\) | ||
0.988327 | − | 0.152348i | \(-0.0486836\pi\) | |||||||
\(240\) | −50831.1 | − | 77543.2i | −0.0569641 | − | 0.0868992i | ||||
\(241\) | −231077. | − | 133412.i | −0.256279 | − | 0.147963i | 0.366357 | − | 0.930474i | \(-0.380605\pi\) |
−0.622636 | + | 0.782512i | \(0.713938\pi\) | |||||||
\(242\) | 504873. | + | 291489.i | 0.554171 | + | 0.319951i | ||||
\(243\) | 664680. | + | 636781.i | 0.722099 | + | 0.691790i | ||||
\(244\) | 104715.i | 0.112599i | ||||||||
\(245\) | −236405. | + | 1.22660e6i | −0.251618 | + | 1.30553i | ||||
\(246\) | 39233.8 | + | 691865.i | 0.0413354 | + | 0.728926i | ||||
\(247\) | 815512. | + | 1.41251e6i | 0.850527 | + | 1.47316i | ||||
\(248\) | 263457. | − | 456321.i | 0.272007 | − | 0.471130i | ||||
\(249\) | −61136.0 | + | 121269.i | −0.0624883 | + | 0.123951i | ||||
\(250\) | 170775. | − | 98597.0i | 0.172812 | − | 0.0997732i | ||||
\(251\) | 947580. | 0.949361 | 0.474681 | − | 0.880158i | \(-0.342564\pi\) | ||||
0.474681 | + | 0.880158i | \(0.342564\pi\) | |||||||
\(252\) | 141700. | − | 569883.i | 0.140562 | − | 0.565307i | ||||
\(253\) | −18248.2 | −0.0179233 | ||||||||
\(254\) | 133509. | − | 77081.5i | 0.129845 | − | 0.0749662i | ||||
\(255\) | 645441. | − | 1.28029e6i | 0.621593 | − | 1.23298i | ||||
\(256\) | 544954. | − | 943888.i | 0.519708 | − | 0.900161i | ||||
\(257\) | 263158. | + | 455804.i | 0.248533 | + | 0.430472i | 0.963119 | − | 0.269076i | \(-0.0867182\pi\) |
−0.714586 | + | 0.699548i | \(0.753385\pi\) | |||||||
\(258\) | 17258.6 | + | 304346.i | 0.0161420 | + | 0.284654i | ||||
\(259\) | −1.00323e6 | + | 168702.i | −0.929288 | + | 0.156268i | ||||
\(260\) | 816432.i | 0.749008i | ||||||||
\(261\) | −1.03434e6 | + | 765130.i | −0.939862 | + | 0.695238i | ||||
\(262\) | −896025. | − | 517320.i | −0.806431 | − | 0.465593i | ||||
\(263\) | −1.18245e6 | − | 682687.i | −1.05413 | − | 0.608601i | −0.130325 | − | 0.991471i | \(-0.541602\pi\) |
−0.923802 | + | 0.382871i | \(0.874935\pi\) | |||||||
\(264\) | 62310.2 | + | 95054.7i | 0.0550236 | + | 0.0839390i | ||||
\(265\) | − | 1.19006e6i | − | 1.04101i | ||||||
\(266\) | 835024. | + | 1.01133e6i | 0.723594 | + | 0.876371i | ||||
\(267\) | 281886. | − | 15985.0i | 0.241989 | − | 0.0137225i | ||||
\(268\) | 120115. | + | 208045.i | 0.102155 | + | 0.176937i | ||||
\(269\) | 14614.5 | − | 25313.1i | 0.0123141 | − | 0.0213287i | −0.859803 | − | 0.510626i | \(-0.829414\pi\) |
0.872117 | + | 0.489298i | \(0.162747\pi\) | |||||||
\(270\) | −965357. | − | 356391.i | −0.805895 | − | 0.297521i | ||||
\(271\) | 366956. | − | 211862.i | 0.303522 | − | 0.175239i | −0.340502 | − | 0.940244i | \(-0.610597\pi\) |
0.644024 | + | 0.765005i | \(0.277264\pi\) | |||||||
\(272\) | −99033.3 | −0.0811632 | ||||||||
\(273\) | 873926. | − | 809012.i | 0.709689 | − | 0.656975i | ||||
\(274\) | 963785. | 0.775540 | ||||||||
\(275\) | 81843.2 | − | 47252.2i | 0.0652606 | − | 0.0376782i | ||||
\(276\) | 120201. | + | 60597.7i | 0.0949805 | + | 0.0478832i | ||||
\(277\) | 373490. | − | 646904.i | 0.292469 | − | 0.506571i | −0.681924 | − | 0.731423i | \(-0.738856\pi\) |
0.974393 | + | 0.224852i | \(0.0721898\pi\) | |||||||
\(278\) | −664750. | − | 1.15138e6i | −0.515877 | − | 0.893525i | ||||
\(279\) | −78203.9 | − | 687323.i | −0.0601475 | − | 0.528628i | ||||
\(280\) | 295756. | + | 1.75879e6i | 0.225444 | + | 1.34066i | ||||
\(281\) | 841921.i | 0.636071i | 0.948079 | + | 0.318035i | \(0.103023\pi\) | ||||
−0.948079 | + | 0.318035i | \(0.896977\pi\) | |||||||
\(282\) | 321930. | − | 211031.i | 0.241068 | − | 0.158024i | ||||
\(283\) | 1.20615e6 | + | 696372.i | 0.895233 | + | 0.516863i | 0.875650 | − | 0.482945i | \(-0.160433\pi\) |
0.0195823 | + | 0.999808i | \(0.493766\pi\) | |||||||
\(284\) | −978890. | − | 565163.i | −0.720175 | − | 0.415793i | ||||
\(285\) | −2.68191e6 | + | 1.75804e6i | −1.95583 | + | 1.28208i | ||||
\(286\) | 84844.2i | 0.0613348i | ||||||||
\(287\) | 551022. | − | 1.47735e6i | 0.394879 | − | 1.05872i | ||||
\(288\) | −154678. | − | 1.35944e6i | −0.109887 | − | 0.965782i | ||||
\(289\) | −55786.8 | − | 96625.6i | −0.0392905 | − | 0.0680531i | ||||
\(290\) | 719159. | − | 1.24562e6i | 0.502146 | − | 0.869743i | ||||
\(291\) | −259477. | − | 130812.i | −0.179625 | − | 0.0905555i | ||||
\(292\) | −833661. | + | 481314.i | −0.572179 | + | 0.330348i | ||||
\(293\) | 537097. | 0.365497 | 0.182748 | − | 0.983160i | \(-0.441501\pi\) | ||||
0.182748 | + | 0.983160i | \(0.441501\pi\) | |||||||
\(294\) | 585117. | − | 758053.i | 0.394797 | − | 0.511483i | ||||
\(295\) | 575764. | 0.385203 | ||||||||
\(296\) | −1.25786e6 | + | 726226.i | −0.834456 | + | 0.481773i | ||||
\(297\) | 139980. | + | 51677.8i | 0.0920819 | + | 0.0339949i | ||||
\(298\) | −705200. | + | 1.22144e6i | −0.460014 | + | 0.796768i | ||||
\(299\) | 136495. | + | 236416.i | 0.0882955 | + | 0.152932i | ||||
\(300\) | −696013. | + | 39469.0i | −0.446492 | + | 0.0253194i | ||||
\(301\) | 242390. | − | 649875.i | 0.154205 | − | 0.413441i | ||||
\(302\) | 1.01074e6i | 0.637708i | ||||||||
\(303\) | −1.45794e6 | − | 2.22410e6i | −0.912291 | − | 1.39171i | ||||
\(304\) | 191821. | + | 110748.i | 0.119045 | + | 0.0687308i | ||||
\(305\) | −361585. | − | 208761.i | −0.222567 | − | 0.128499i | ||||
\(306\) | −883641. | + | 653650.i | −0.539476 | + | 0.399063i | ||||
\(307\) | − | 511397.i | − | 0.309679i | −0.987940 | − | 0.154840i | \(-0.950514\pi\) | ||
0.987940 | − | 0.154840i | \(-0.0494861\pi\) | |||||||
\(308\) | −15786.0 | − | 93875.5i | −0.00948191 | − | 0.0563865i | ||||
\(309\) | 51972.1 | + | 916497.i | 0.0309652 | + | 0.546053i | ||||
\(310\) | 386671. | + | 669734.i | 0.228527 | + | 0.395820i | ||||
\(311\) | 1.20650e6 | − | 2.08971e6i | 0.707335 | − | 1.22514i | −0.258507 | − | 0.966009i | \(-0.583231\pi\) |
0.965842 | − | 0.259131i | \(-0.0834361\pi\) | |||||||
\(312\) | 765414. | − | 1.51826e6i | 0.445154 | − | 0.883000i | ||||
\(313\) | 2.35700e6 | − | 1.36081e6i | 1.35987 | − | 0.785124i | 0.370268 | − | 0.928925i | \(-0.379266\pi\) |
0.989607 | + | 0.143801i | \(0.0459326\pi\) | |||||||
\(314\) | −1.38523e6 | −0.792862 | ||||||||
\(315\) | 1.68533e6 | + | 1.62542e6i | 0.956993 | + | 0.922973i | ||||
\(316\) | 1.25586e6 | 0.707495 | ||||||||
\(317\) | 1.42964e6 | − | 825402.i | 0.799057 | − | 0.461336i | −0.0440842 | − | 0.999028i | \(-0.514037\pi\) |
0.843141 | + | 0.537692i | \(0.180704\pi\) | |||||||
\(318\) | −410685. | + | 814628.i | −0.227741 | + | 0.451743i | ||||
\(319\) | −104280. | + | 180619.i | −0.0573754 | + | 0.0993771i | ||||
\(320\) | 859955. | + | 1.48949e6i | 0.469462 | + | 0.813133i | ||||
\(321\) | 130250. | + | 2.29689e6i | 0.0705532 | + | 1.24416i | ||||
\(322\) | 139761. | + | 169269.i | 0.0751183 | + | 0.0909785i | ||||
\(323\) | 3.42516e6i | 1.82673i | ||||||||
\(324\) | −750436. | − | 805239.i | −0.397147 | − | 0.426150i | ||||
\(325\) | −1.22436e6 | − | 706884.i | −0.642985 | − | 0.371227i | ||||
\(326\) | −732822. | − | 423095.i | −0.381904 | − | 0.220492i | ||||
\(327\) | 223531. | + | 340998.i | 0.115603 | + | 0.176353i | ||||
\(328\) | − | 2.25120e6i | − | 1.15539i | ||||||
\(329\) | −863732. | + | 145244.i | −0.439936 | + | 0.0739791i | ||||
\(330\) | −166545. | + | 9444.31i | −0.0841873 | + | 0.00477403i | ||||
\(331\) | 1.31284e6 | + | 2.27391e6i | 0.658633 | + | 1.14079i | 0.980970 | + | 0.194160i | \(0.0621983\pi\) |
−0.322337 | + | 0.946625i | \(0.604468\pi\) | |||||||
\(332\) | 81199.1 | − | 140641.i | 0.0404302 | − | 0.0700272i | ||||
\(333\) | −760622. | + | 1.74858e6i | −0.375888 | + | 0.864121i | ||||
\(334\) | 549850. | − | 317456.i | 0.269698 | − | 0.155710i | ||||
\(335\) | −957847. | −0.466320 | ||||||||
\(336\) | 47847.8 | − | 154486.i | 0.0231214 | − | 0.0746521i | ||||
\(337\) | −3.01254e6 | −1.44497 | −0.722483 | − | 0.691388i | \(-0.756999\pi\) | ||||
−0.722483 | + | 0.691388i | \(0.756999\pi\) | |||||||
\(338\) | −76071.0 | + | 43919.6i | −0.0362182 | + | 0.0209106i | ||||
\(339\) | 265786. | + | 133993.i | 0.125613 | + | 0.0633261i | ||||
\(340\) | −857256. | + | 1.48481e6i | −0.402173 | + | 0.696585i | ||||
\(341\) | −56068.5 | − | 97113.5i | −0.0261116 | − | 0.0452266i | ||||
\(342\) | 2.44252e6 | − | 277911.i | 1.12921 | − | 0.128482i | ||||
\(343\) | −1.91236e6 | + | 1.04424e6i | −0.877678 | + | 0.479251i | ||||
\(344\) | − | 990285.i | − | 0.451195i | ||||||
\(345\) | −448880. | + | 294249.i | −0.203040 | + | 0.133097i | ||||
\(346\) | −1.55264e6 | − | 896419.i | −0.697238 | − | 0.402551i | ||||
\(347\) | 2.51975e6 | + | 1.45478e6i | 1.12340 | + | 0.648595i | 0.942267 | − | 0.334864i | \(-0.108690\pi\) |
0.181133 | + | 0.983459i | \(0.442024\pi\) | |||||||
\(348\) | 1.28668e6 | − | 843446.i | 0.569539 | − | 0.373344i | ||||
\(349\) | 3.93286e6i | 1.72840i | 0.503147 | + | 0.864201i | \(0.332176\pi\) | ||||
−0.503147 | + | 0.864201i | \(0.667824\pi\) | |||||||
\(350\) | −1.06514e6 | − | 397274.i | −0.464766 | − | 0.173349i | ||||
\(351\) | −377520. | − | 2.20007e6i | −0.163558 | − | 0.953165i | ||||
\(352\) | −110897. | − | 192079.i | −0.0477048 | − | 0.0826271i | ||||
\(353\) | −967991. | + | 1.67661e6i | −0.413461 | + | 0.716136i | −0.995266 | − | 0.0971931i | \(-0.969014\pi\) |
0.581804 | + | 0.813329i | \(0.302347\pi\) | |||||||
\(354\) | −394125. | − | 198693.i | −0.167157 | − | 0.0842703i | ||||
\(355\) | 3.90305e6 | − | 2.25343e6i | 1.64374 | − | 0.949015i | ||||
\(356\) | −337620. | −0.141190 | ||||||||
\(357\) | 2.43884e6 | − | 553693.i | 1.01277 | − | 0.229931i | ||||
\(358\) | −2.34406e6 | −0.966631 | ||||||||
\(359\) | −1.20595e6 | + | 696256.i | −0.493848 | + | 0.285123i | −0.726169 | − | 0.687516i | \(-0.758701\pi\) |
0.232321 | + | 0.972639i | \(0.425368\pi\) | |||||||
\(360\) | 3.06548e6 | + | 1.33347e6i | 1.24664 | + | 0.542283i | ||||
\(361\) | 2.59227e6 | − | 4.48994e6i | 1.04692 | − | 1.81331i | ||||
\(362\) | −85782.7 | − | 148580.i | −0.0344055 | − | 0.0595921i | ||||
\(363\) | −2.48236e6 | + | 140768.i | −0.988777 | + | 0.0560708i | ||||
\(364\) | −1.09813e6 | + | 906697.i | −0.434412 | + | 0.358681i | ||||
\(365\) | − | 3.83821e6i | − | 1.50798i | ||||||
\(366\) | 175472. | + | 267684.i | 0.0684707 | + | 0.104453i | ||||
\(367\) | −853243. | − | 492620.i | −0.330680 | − | 0.190918i | 0.325463 | − | 0.945555i | \(-0.394480\pi\) |
−0.656143 | + | 0.754637i | \(0.727813\pi\) | |||||||
\(368\) | 32105.7 | + | 18536.2i | 0.0123584 | + | 0.00713513i | ||||
\(369\) | −1.75763e6 | − | 2.37606e6i | −0.671986 | − | 0.908428i | ||||
\(370\) | − | 2.13174e6i | − | 0.809524i | ||||||
\(371\) | 1.60068e6 | − | 1.32164e6i | 0.603769 | − | 0.498514i | ||||
\(372\) | 46833.1 | + | 825875.i | 0.0175467 | + | 0.309426i | ||||
\(373\) | −1.25793e6 | − | 2.17879e6i | −0.468148 | − | 0.810856i | 0.531190 | − | 0.847253i | \(-0.321745\pi\) |
−0.999337 | + | 0.0363971i | \(0.988412\pi\) | |||||||
\(374\) | −89086.7 | + | 154303.i | −0.0329332 | + | 0.0570420i | ||||
\(375\) | −378597. | + | 750980.i | −0.139027 | + | 0.275772i | ||||
\(376\) | −1.08296e6 | + | 625246.i | −0.395041 | + | 0.228077i | ||||
\(377\) | 3.12003e6 | 1.13059 | ||||||||
\(378\) | −592728. | − | 1.69424e6i | −0.213366 | − | 0.609881i | ||||
\(379\) | −627888. | −0.224535 | −0.112268 | − | 0.993678i | \(-0.535811\pi\) | ||||
−0.112268 | + | 0.993678i | \(0.535811\pi\) | |||||||
\(380\) | 3.32089e6 | − | 1.91732e6i | 1.17977 | − | 0.681138i | ||||
\(381\) | −295981. | + | 587104.i | −0.104460 | + | 0.207206i | ||||
\(382\) | −1.39148e6 | + | 2.41011e6i | −0.487885 | + | 0.845041i | ||||
\(383\) | −1.55261e6 | − | 2.68921e6i | −0.540837 | − | 0.936758i | −0.998856 | − | 0.0478152i | \(-0.984774\pi\) |
0.458019 | − | 0.888942i | \(-0.348559\pi\) | |||||||
\(384\) | 84369.5 | + | 1.48781e6i | 0.0291983 | + | 0.514895i | ||||
\(385\) | 355627. | + | 132642.i | 0.122276 | + | 0.0456066i | ||||
\(386\) | − | 2.03335e6i | − | 0.694615i | ||||||
\(387\) | −773165. | − | 1.04521e6i | −0.262419 | − | 0.354752i | ||||
\(388\) | 300928. | + | 173741.i | 0.101481 | + | 0.0585898i | ||||
\(389\) | −580056. | − | 334895.i | −0.194355 | − | 0.112211i | 0.399665 | − | 0.916661i | \(-0.369127\pi\) |
−0.594020 | + | 0.804450i | \(0.702460\pi\) | |||||||
\(390\) | 1.36810e6 | + | 2.08704e6i | 0.455466 | + | 0.694817i | ||||
\(391\) | 573281.i | 0.189638i | ||||||||
\(392\) | −2.03718e6 | + | 2.35104e6i | −0.669600 | + | 0.772762i | ||||
\(393\) | 4.40558e6 | − | 249828.i | 1.43887 | − | 0.0815943i | ||||
\(394\) | 997637. | + | 1.72796e6i | 0.323767 | + | 0.560780i | ||||
\(395\) | −2.50370e6 | + | 4.33653e6i | −0.807401 | + | 1.39846i | ||||
\(396\) | −163620. | − | 71174.0i | −0.0524324 | − | 0.0228078i | ||||
\(397\) | −3.02652e6 | + | 1.74736e6i | −0.963757 | + | 0.556425i | −0.897327 | − | 0.441366i | \(-0.854494\pi\) |
−0.0664294 | + | 0.997791i | \(0.521161\pi\) | |||||||
\(398\) | 771949. | 0.244276 | ||||||||
\(399\) | −5.34306e6 | − | 1.65486e6i | −1.68019 | − | 0.520390i | ||||
\(400\) | −191992. | −0.0599975 | ||||||||
\(401\) | −2.43480e6 | + | 1.40573e6i | −0.756140 | + | 0.436558i | −0.827908 | − | 0.560864i | \(-0.810469\pi\) |
0.0717682 | + | 0.997421i | \(0.477136\pi\) | |||||||
\(402\) | 655670. | + | 330548.i | 0.202358 | + | 0.102016i | ||||
\(403\) | −838775. | + | 1.45280e6i | −0.257266 | + | 0.445598i | ||||
\(404\) | 1.59003e6 | + | 2.75401e6i | 0.484676 | + | 0.839484i | ||||
\(405\) | 4.27660e6 | − | 985950.i | 1.29557 | − | 0.298688i | ||||
\(406\) | 2.47408e6 | − | 416039.i | 0.744901 | − | 0.125262i | ||||
\(407\) | 309109.i | 0.0924965i | ||||||||
\(408\) | 2.98621e6 | − | 1.95752e6i | 0.888117 | − | 0.582178i | ||||
\(409\) | −2.41651e6 | − | 1.39517e6i | −0.714300 | − | 0.412402i | 0.0983509 | − | 0.995152i | \(-0.468643\pi\) |
−0.812651 | + | 0.582750i | \(0.801977\pi\) | |||||||
\(410\) | 2.86139e6 | + | 1.65202e6i | 0.840654 | + | 0.485352i | ||||
\(411\) | −3.43770e6 | + | 2.25348e6i | −1.00384 | + | 0.658034i | ||||
\(412\) | − | 1.09771e6i | − | 0.318598i | ||||||
\(413\) | 639421. | + | 774426.i | 0.184464 | + | 0.223411i | ||||
\(414\) | 408813. | − | 46514.9i | 0.117226 | − | 0.0133380i | ||||
\(415\) | 323759. | + | 560767.i | 0.0922787 | + | 0.159831i | ||||
\(416\) | −1.65900e6 | + | 2.87346e6i | −0.470015 | + | 0.814090i | ||||
\(417\) | 5.06318e6 | + | 2.55254e6i | 1.42588 | + | 0.718839i | ||||
\(418\) | 345110. | − | 199249.i | 0.0966088 | − | 0.0557771i | ||||
\(419\) | −3.40729e6 | −0.948144 | −0.474072 | − | 0.880486i | \(-0.657216\pi\) | ||||
−0.474072 | + | 0.880486i | \(0.657216\pi\) | |||||||
\(420\) | −1.90204e6 | − | 2.05465e6i | −0.526134 | − | 0.568350i | ||||
\(421\) | 3.77099e6 | 1.03693 | 0.518465 | − | 0.855099i | \(-0.326504\pi\) | ||||
0.518465 | + | 0.855099i | \(0.326504\pi\) | |||||||
\(422\) | 2.12282e6 | − | 1.22561e6i | 0.580273 | − | 0.335021i | ||||
\(423\) | −654859. | + | 1.50544e6i | −0.177950 | + | 0.409085i | ||||
\(424\) | 1.48184e6 | − | 2.56662e6i | 0.400301 | − | 0.693341i | ||||
\(425\) | −1.48446e6 | − | 2.57116e6i | −0.398655 | − | 0.690490i | ||||
\(426\) | −3.44938e6 | + | 195605.i | −0.920911 | + | 0.0522223i | ||||
\(427\) | −120770. | − | 718189.i | −0.0320545 | − | 0.190620i | ||||
\(428\) | − | 2.75103e6i | − | 0.725915i | ||||||
\(429\) | −198378. | − | 302628.i | −0.0520417 | − | 0.0793900i | ||||
\(430\) | 1.25870e6 | + | 726712.i | 0.328286 | + | 0.189536i | ||||
\(431\) | 2.60415e6 | + | 1.50351e6i | 0.675263 | + | 0.389863i | 0.798068 | − | 0.602568i | \(-0.205856\pi\) |
−0.122805 | + | 0.992431i | \(0.539189\pi\) | |||||||
\(432\) | −193785. | − | 233111.i | −0.0499588 | − | 0.0600970i | ||||
\(433\) | − | 1.50880e6i | − | 0.386734i | −0.981126 | − | 0.193367i | \(-0.938059\pi\) | ||
0.981126 | − | 0.193367i | \(-0.0619408\pi\) | |||||||
\(434\) | −471398. | + | 1.26387e6i | −0.120133 | + | 0.322090i | ||||
\(435\) | 347302. | + | 6.12447e6i | 0.0880002 | + | 1.55183i | ||||
\(436\) | −243782. | − | 422244.i | −0.0614167 | − | 0.106377i | ||||
\(437\) | 641093. | − | 1.11041e6i | 0.160590 | − | 0.278149i | ||||
\(438\) | −1.32455e6 | + | 2.62735e6i | −0.329900 | + | 0.654385i | ||||
\(439\) | −1.70748e6 | + | 985817.i | −0.422859 | + | 0.244138i | −0.696300 | − | 0.717751i | \(-0.745172\pi\) |
0.273441 | + | 0.961889i | \(0.411838\pi\) | |||||||
\(440\) | 541907. | 0.133442 | ||||||||
\(441\) | −314592. | + | 4.07197e6i | −0.0770285 | + | 0.997029i | ||||
\(442\) | 2.66544e6 | 0.648954 | ||||||||
\(443\) | −1.85053e6 | + | 1.06840e6i | −0.448009 | + | 0.258658i | −0.706989 | − | 0.707225i | \(-0.749947\pi\) |
0.258980 | + | 0.965883i | \(0.416614\pi\) | |||||||
\(444\) | 1.02647e6 | − | 2.03610e6i | 0.247110 | − | 0.490163i | ||||
\(445\) | 673083. | − | 1.16581e6i | 0.161127 | − | 0.279080i | ||||
\(446\) | 34227.7 | + | 59284.0i | 0.00814779 | + | 0.0141124i | ||||
\(447\) | −340560. | − | 6.00558e6i | −0.0806167 | − | 1.42163i | ||||
\(448\) | −1.04839e6 | + | 2.81084e6i | −0.246789 | + | 0.661669i | ||||
\(449\) | − | 5.91347e6i | − | 1.38429i | −0.721759 | − | 0.692144i | \(-0.756666\pi\) | ||
0.721759 | − | 0.692144i | \(-0.243334\pi\) | |||||||
\(450\) | −1.71308e6 | + | 1.26721e6i | −0.398792 | + | 0.294996i | ||||
\(451\) | −414911. | − | 239549.i | −0.0960535 | − | 0.0554565i | ||||
\(452\) | −308245. | − | 177966.i | −0.0709660 | − | 0.0409723i | ||||
\(453\) | −2.36326e6 | − | 3.60517e6i | −0.541086 | − | 0.825431i | ||||
\(454\) | − | 1.63398e6i | − | 0.372054i | ||||||
\(455\) | −941606. | − | 5.59950e6i | −0.213226 | − | 1.26800i | ||||
\(456\) | −7.97316e6 | + | 452136.i | −1.79564 | + | 0.101826i | ||||
\(457\) | 3.75946e6 | + | 6.51157e6i | 0.842044 | + | 1.45846i | 0.888164 | + | 0.459526i | \(0.151981\pi\) |
−0.0461206 | + | 0.998936i | \(0.514686\pi\) | |||||||
\(458\) | 40206.2 | − | 69639.3i | 0.00895632 | − | 0.0155128i | ||||
\(459\) | 1.62350e6 | − | 4.39757e6i | 0.359683 | − | 0.974274i | ||||
\(460\) | 555829. | − | 320908.i | 0.122475 | − | 0.0707109i | ||||
\(461\) | 929187. | 0.203634 | 0.101817 | − | 0.994803i | \(-0.467534\pi\) | ||||
0.101817 | + | 0.994803i | \(0.467534\pi\) | |||||||
\(462\) | −197661. | − | 213521.i | −0.0430841 | − | 0.0465411i | ||||
\(463\) | 1.21496e6 | 0.263396 | 0.131698 | − | 0.991290i | \(-0.457957\pi\) | ||||
0.131698 | + | 0.991290i | \(0.457957\pi\) | |||||||
\(464\) | 366939. | − | 211853.i | 0.0791224 | − | 0.0456813i | ||||
\(465\) | −2.94514e6 | − | 1.48476e6i | −0.631646 | − | 0.318437i | ||||
\(466\) | 974235. | − | 1.68742e6i | 0.207826 | − | 0.359964i | ||||
\(467\) | 1.51559e6 | + | 2.62507e6i | 0.321580 | + | 0.556992i | 0.980814 | − | 0.194945i | \(-0.0624529\pi\) |
−0.659234 | + | 0.751937i | \(0.729120\pi\) | |||||||
\(468\) | 301765. | + | 2.65217e6i | 0.0636876 | + | 0.559741i | ||||
\(469\) | −1.06375e6 | − | 1.28834e6i | −0.223309 | − | 0.270458i | ||||
\(470\) | − | 1.83532e6i | − | 0.383238i | ||||||
\(471\) | 4.94093e6 | − | 3.23888e6i | 1.02626 | − | 0.672732i | ||||
\(472\) | 1.24176e6 | + | 716928.i | 0.256555 | + | 0.148122i | ||||
\(473\) | −182516. | − | 105376.i | −0.0375100 | − | 0.0216564i | ||||
\(474\) | 3.21036e6 | − | 2.10445e6i | 0.656308 | − | 0.430222i | ||||
\(475\) | 6.64023e6i | 1.35036i | ||||||||
\(476\) | −2.94917e6 | + | 495929.i | −0.596598 | + | 0.100323i | ||||
\(477\) | −439865. | − | 3.86591e6i | −0.0885164 | − | 0.777958i | ||||
\(478\) | 491729. | + | 851699.i | 0.0984364 | + | 0.170497i | ||||
\(479\) | 40952.6 | − | 70932.0i | 0.00815535 | − | 0.0141255i | −0.861919 | − | 0.507046i | \(-0.830737\pi\) |
0.870074 | + | 0.492921i | \(0.164071\pi\) | |||||||
\(480\) | −5.82514e6 | − | 2.93667e6i | −1.15399 | − | 0.581771i | ||||
\(481\) | 4.00469e6 | − | 2.31211e6i | 0.789234 | − | 0.455664i | ||||
\(482\) | 975255. | 0.191206 | ||||||||
\(483\) | −894285. | − | 276980.i | −0.174425 | − | 0.0540232i | ||||
\(484\) | 2.97317e6 | 0.576907 | ||||||||
\(485\) | −1.19987e6 | + | 692743.i | −0.231621 | + | 0.133727i | ||||
\(486\) | −3.26768e6 | − | 800924.i | −0.627551 | − | 0.153816i | ||||
\(487\) | −2.20758e6 | + | 3.82364e6i | −0.421787 | + | 0.730557i | −0.996114 | − | 0.0880688i | \(-0.971930\pi\) |
0.574327 | + | 0.818626i | \(0.305264\pi\) | |||||||
\(488\) | −519890. | − | 900475.i | −0.0988238 | − | 0.171168i | ||||
\(489\) | 3.60314e6 | − | 204324.i | 0.681410 | − | 0.0386409i | ||||
\(490\) | −1.49332e6 | − | 4.31466e6i | −0.280973 | − | 0.811813i | ||||
\(491\) | 9.60786e6i | 1.79855i | 0.437381 | + | 0.899276i | \(0.355906\pi\) | ||||
−0.437381 | + | 0.899276i | \(0.644094\pi\) | |||||||
\(492\) | 1.93753e6 | + | 2.95572e6i | 0.360857 | + | 0.550491i | ||||
\(493\) | 5.67427e6 | + | 3.27604e6i | 1.05146 | + | 0.607061i | ||||
\(494\) | −5.16278e6 | − | 2.98073e6i | −0.951845 | − | 0.549548i | ||||
\(495\) | 571962. | − | 423094.i | 0.104919 | − | 0.0776111i | ||||
\(496\) | 227814.i | 0.0415792i | ||||||||
\(497\) | 7.36553e6 | + | 2.74720e6i | 1.33756 | + | 0.498883i | ||||
\(498\) | −28103.4 | − | 495587.i | −0.00507791 | − | 0.0895460i | ||||
\(499\) | −5.03473e6 | − | 8.72042e6i | −0.905160 | − | 1.56778i | −0.820703 | − | 0.571356i | \(-0.806418\pi\) |
−0.0844572 | − | 0.996427i | \(-0.526916\pi\) | |||||||
\(500\) | 502842. | − | 870948.i | 0.0899512 | − | 0.155800i | ||||
\(501\) | −1.21898e6 | + | 2.41796e6i | −0.216972 | + | 0.430382i | ||||
\(502\) | −2.99943e6 | + | 1.73172e6i | −0.531227 | + | 0.306704i | ||||
\(503\) | −2.68345e6 | −0.472904 | −0.236452 | − | 0.971643i | \(-0.575985\pi\) | ||||
−0.236452 | + | 0.971643i | \(0.575985\pi\) | |||||||
\(504\) | 1.61083e6 | + | 5.60409e6i | 0.282472 | + | 0.982718i | ||||
\(505\) | −1.26796e7 | −2.21247 | ||||||||
\(506\) | 57762.2 | − | 33349.0i | 0.0100292 | − | 0.00579038i | ||||
\(507\) | 168645. | − | 334521.i | 0.0291375 | − | 0.0577967i | ||||
\(508\) | 393113. | − | 680893.i | 0.0675863 | − | 0.117063i | ||||
\(509\) | 3.75644e6 | + | 6.50634e6i | 0.642661 | + | 1.11312i | 0.984837 | + | 0.173485i | \(0.0555027\pi\) |
−0.342176 | + | 0.939636i | \(0.611164\pi\) | |||||||
\(510\) | 296700. | + | 5.23213e6i | 0.0505117 | + | 0.890745i | ||||
\(511\) | 5.16255e6 | − | 4.26257e6i | 0.874606 | − | 0.722137i | ||||
\(512\) | 924585.i | 0.155873i | ||||||||
\(513\) | −8.06235e6 | + | 6.70225e6i | −1.35260 | + | 1.12442i | ||||
\(514\) | −1.66598e6 | − | 961856.i | −0.278140 | − | 0.160584i | ||||
\(515\) | 3.79042e6 | + | 2.18840e6i | 0.629751 | + | 0.363587i | ||||
\(516\) | 852303. | + | 1.30020e6i | 0.140919 | + | 0.214973i | ||||
\(517\) | 266128.i | 0.0437889i | ||||||||
\(518\) | 2.86728e6 | − | 2.36743e6i | 0.469510 | − | 0.387661i | ||||
\(519\) | 7.63403e6 | − | 432905.i | 1.24404 | − | 0.0705463i | ||||
\(520\) | −4.05342e6 | − | 7.02072e6i | −0.657374 | − | 1.13861i | ||||
\(521\) | 4.73009e6 | − | 8.19276e6i | 0.763440 | − | 1.32232i | −0.177627 | − | 0.984098i | \(-0.556842\pi\) |
0.941067 | − | 0.338220i | \(-0.109825\pi\) | |||||||
\(522\) | 1.87578e6 | − | 4.31220e6i | 0.301305 | − | 0.692664i | ||||
\(523\) | −1.14824e6 | + | 662937.i | −0.183560 | + | 0.105979i | −0.588964 | − | 0.808159i | \(-0.700464\pi\) |
0.405404 | + | 0.914138i | \(0.367131\pi\) | |||||||
\(524\) | −5.27664e6 | −0.839517 | ||||||||
\(525\) | 4.72808e6 | − | 1.07342e6i | 0.748664 | − | 0.169970i | ||||
\(526\) | 4.99051e6 | 0.786466 | ||||||||
\(527\) | −3.05089e6 | + | 1.76143e6i | −0.478520 | + | 0.276274i | ||||
\(528\) | −43879.5 | − | 22121.3i | −0.00684979 | − | 0.00345323i | ||||
\(529\) | −3.11087e6 | + | 5.38818e6i | −0.483329 | + | 0.837150i | ||||
\(530\) | 2.17487e6 | + | 3.76698e6i | 0.336313 | + | 0.582511i | ||||
\(531\) | 1.87037e6 | − | 212811.i | 0.287866 | − | 0.0327535i | ||||
\(532\) | 6.26693e6 | + | 2.33744e6i | 0.960010 | + | 0.358064i | ||||
\(533\) | 7.16721e6i | 1.09278i | ||||||||
\(534\) | −863059. | + | 565752.i | −0.130975 | + | 0.0858564i | ||||
\(535\) | 9.49940e6 | + | 5.48448e6i | 1.43487 | + | 0.828421i | ||||
\(536\) | −2.06580e6 | − | 1.19269e6i | −0.310582 | − | 0.179314i | ||||
\(537\) | 8.36094e6 | − | 5.48076e6i | 1.25118 | − | 0.820172i | ||||
\(538\) | 106833.i | 0.0159130i | ||||||||
\(539\) | 216537. | + | 625639.i | 0.0321040 | + | 0.0927581i | ||||
\(540\) | −5.17249e6 | + | 887573.i | −0.763335 | + | 0.130984i | ||||
\(541\) | −3.46147e6 | − | 5.99545e6i | −0.508473 | − | 0.880701i | −0.999952 | − | 0.00981149i | \(-0.996877\pi\) |
0.491479 | − | 0.870889i | \(-0.336456\pi\) | |||||||
\(542\) | −774365. | + | 1.34124e6i | −0.113226 | + | 0.196114i | ||||
\(543\) | 653378. | + | 329392.i | 0.0950966 | + | 0.0479417i | ||||
\(544\) | −6.03430e6 | + | 3.48390e6i | −0.874237 | + | 0.504741i | ||||
\(545\) | 1.94403e6 | 0.280357 | ||||||||
\(546\) | −1.28780e6 | + | 4.15794e6i | −0.184871 | + | 0.596893i | ||||
\(547\) | −9.97756e6 | −1.42579 | −0.712896 | − | 0.701270i | \(-0.752617\pi\) | ||||
−0.712896 | + | 0.701270i | \(0.752617\pi\) | |||||||
\(548\) | 4.25676e6 | − | 2.45764e6i | 0.605519 | − | 0.349596i | ||||
\(549\) | −1.25177e6 | − | 544513.i | −0.177253 | − | 0.0771040i | ||||
\(550\) | −172709. | + | 299141.i | −0.0243449 | + | 0.0421666i | ||||
\(551\) | −7.32712e6 | − | 1.26909e7i | −1.02815 | − | 1.78080i | ||||
\(552\) | −1.33449e6 | + | 75675.5i | −0.186410 | + | 0.0105708i | ||||
\(553\) | −8.61332e6 | + | 1.44841e6i | −1.19773 | + | 0.201409i | ||||
\(554\) | 2.73025e6i | 0.377944i | ||||||||
\(555\) | 4.98433e6 | + | 7.60363e6i | 0.686869 | + | 1.04782i | ||||
\(556\) | −5.87201e6 | − | 3.39021e6i | −0.805564 | − | 0.465092i | ||||
\(557\) | −1.08587e7 | − | 6.26929e6i | −1.48300 | − | 0.856210i | −0.483186 | − | 0.875518i | \(-0.660520\pi\) |
−0.999814 | + | 0.0193079i | \(0.993854\pi\) | |||||||
\(558\) | 1.50364e6 | + | 2.03271e6i | 0.204437 | + | 0.276369i | ||||
\(559\) | 3.15280e6i | 0.426743i | ||||||||
\(560\) | −490950. | − | 594608.i | −0.0661557 | − | 0.0801236i | ||||
\(561\) | −43022.4 | − | 758676.i | −0.00577149 | − | 0.101777i | ||||
\(562\) | −1.53863e6 | − | 2.66498e6i | −0.205491 | − | 0.355921i | ||||
\(563\) | 3.43830e6 | − | 5.95530e6i | 0.457164 | − | 0.791832i | −0.541645 | − | 0.840607i | \(-0.682198\pi\) |
0.998810 | + | 0.0487752i | \(0.0155318\pi\) | |||||||
\(564\) | 883744. | − | 1.75298e6i | 0.116985 | − | 0.232049i | ||||
\(565\) | 1.22904e6 | − | 709588.i | 0.161974 | − | 0.0935159i | ||||
\(566\) | −5.09055e6 | −0.667918 | ||||||||
\(567\) | 6.07557e6 | + | 4.65724e6i | 0.793650 | + | 0.608374i | ||||
\(568\) | 1.12237e7 | 1.45970 | ||||||||
\(569\) | 2.29442e6 | − | 1.32468e6i | 0.297093 | − | 0.171526i | −0.344043 | − | 0.938954i | \(-0.611797\pi\) |
0.641136 | + | 0.767427i | \(0.278463\pi\) | |||||||
\(570\) | 5.27635e6 | − | 1.04661e7i | 0.680215 | − | 1.34926i | ||||
\(571\) | −547786. | + | 948793.i | −0.0703105 | + | 0.121781i | −0.899037 | − | 0.437872i | \(-0.855732\pi\) |
0.828727 | + | 0.559653i | \(0.189066\pi\) | |||||||
\(572\) | 216352. | + | 374732.i | 0.0276484 | + | 0.0478884i | ||||
\(573\) | −671982. | − | 1.18500e7i | −0.0855009 | − | 1.50776i | ||||
\(574\) | 955709. | + | 5.68336e6i | 0.121073 | + | 0.719988i | ||||
\(575\) | 1.11140e6i | 0.140184i | ||||||||
\(576\) | 3.34409e6 | + | 4.52073e6i | 0.419974 | + | 0.567744i | ||||
\(577\) | −2.51518e6 | − | 1.45214e6i | −0.314507 | − | 0.181581i | 0.334435 | − | 0.942419i | \(-0.391455\pi\) |
−0.648942 | + | 0.760838i | \(0.724788\pi\) | |||||||
\(578\) | 353171. | + | 203903.i | 0.0439709 | + | 0.0253866i | ||||
\(579\) | 4.75428e6 | + | 7.25269e6i | 0.589370 | + | 0.899090i | ||||
\(580\) | − | 7.33539e6i | − | 0.905426i | ||||||
\(581\) | −394700. | + | 1.05824e6i | −0.0485095 | + | 0.130059i | ||||
\(582\) | 1.06040e6 | − | 60132.3i | 0.129766 | − | 0.00735869i | ||||
\(583\) | −315363. | − | 546224.i | −0.0384272 | − | 0.0665579i | ||||
\(584\) | 4.77925e6 | − | 8.27791e6i | 0.579866 | − | 1.00436i | ||||
\(585\) | −9.75965e6 | − | 4.24539e6i | −1.17908 | − | 0.512895i | ||||
\(586\) | −1.70011e6 | + | 981557.i | −0.204518 | + | 0.118079i | ||||
\(587\) | −2.80932e6 | −0.336516 | −0.168258 | − | 0.985743i | \(-0.553814\pi\) | ||||
−0.168258 | + | 0.985743i | \(0.553814\pi\) | |||||||
\(588\) | 651264. | − | 4.84014e6i | 0.0776808 | − | 0.577317i | ||||
\(589\) | 7.87916e6 | 0.935819 | ||||||||
\(590\) | −1.82250e6 | + | 1.05222e6i | −0.215545 | + | 0.124445i | ||||
\(591\) | −7.59866e6 | − | 3.83077e6i | −0.894888 | − | 0.451146i | ||||
\(592\) | 313988. | − | 543843.i | 0.0368221 | − | 0.0637777i | ||||
\(593\) | 235612. | + | 408091.i | 0.0275144 | + | 0.0476563i | 0.879455 | − | 0.475983i | \(-0.157907\pi\) |
−0.851940 | + | 0.523639i | \(0.824574\pi\) | |||||||
\(594\) | −537529. | + | 92237.3i | −0.0625081 | + | 0.0107261i | ||||
\(595\) | 4.16703e6 | − | 1.11723e7i | 0.482541 | − | 1.29375i | ||||
\(596\) | 7.19300e6i | 0.829458i | ||||||||
\(597\) | −2.75344e6 | + | 1.80493e6i | −0.316184 | + | 0.207264i | ||||
\(598\) | −864112. | − | 498895.i | −0.0988137 | − | 0.0570501i | ||||
\(599\) | −1.50232e6 | − | 867362.i | −0.171078 | − | 0.0987719i | 0.412016 | − | 0.911177i | \(-0.364825\pi\) |
−0.583094 | + | 0.812405i | \(0.698158\pi\) | |||||||
\(600\) | 5.78925e6 | − | 3.79497e6i | 0.656514 | − | 0.430358i | ||||
\(601\) | − | 3.42903e6i | − | 0.387244i | −0.981076 | − | 0.193622i | \(-0.937976\pi\) | ||
0.981076 | − | 0.193622i | \(-0.0620235\pi\) | |||||||
\(602\) | 420408. | + | 2.50006e6i | 0.0472803 | + | 0.281164i | ||||
\(603\) | −3.11156e6 | + | 354034.i | −0.348486 | + | 0.0396508i | ||||
\(604\) | 2.57737e6 | + | 4.46414e6i | 0.287465 | + | 0.497904i | ||||
\(605\) | −5.92734e6 | + | 1.02665e7i | −0.658372 | + | 1.14033i | ||||
\(606\) | 8.67951e6 | + | 4.37567e6i | 0.960093 | + | 0.484019i | ||||
\(607\) | −8.49975e6 | + | 4.90733e6i | −0.936341 | + | 0.540597i | −0.888812 | − | 0.458273i | \(-0.848468\pi\) |
−0.0475299 | + | 0.998870i | \(0.515135\pi\) | |||||||
\(608\) | 1.55840e7 | 1.70970 | ||||||||
\(609\) | −7.85196e6 | + | 7.26873e6i | −0.857896 | + | 0.794173i | ||||
\(610\) | 1.52607e6 | 0.166054 | ||||||||
\(611\) | 3.44784e6 | − | 1.99061e6i | 0.373632 | − | 0.215717i | ||||
\(612\) | −2.23598e6 | + | 5.14025e6i | −0.241318 | + | 0.554761i | ||||
\(613\) | 1.37890e6 | − | 2.38832e6i | 0.148211 | − | 0.256709i | −0.782355 | − | 0.622833i | \(-0.785982\pi\) |
0.930566 | + | 0.366123i | \(0.119315\pi\) | |||||||
\(614\) | 934589. | + | 1.61876e6i | 0.100046 | + | 0.173285i | ||||
\(615\) | −1.40689e7 | + | 797808.i | −1.49993 | + | 0.0850571i | ||||
\(616\) | 601821. | + | 728887.i | 0.0639021 | + | 0.0773942i | ||||
\(617\) | − | 5.46419e6i | − | 0.577847i | −0.957352 | − | 0.288923i | \(-0.906703\pi\) | ||
0.957352 | − | 0.288923i | \(-0.0932973\pi\) | |||||||
\(618\) | −1.83943e6 | − | 2.80607e6i | −0.193737 | − | 0.295547i | ||||
\(619\) | 3.67533e6 | + | 2.12195e6i | 0.385540 | + | 0.222591i | 0.680226 | − | 0.733003i | \(-0.261882\pi\) |
−0.294686 | + | 0.955594i | \(0.595215\pi\) | |||||||
\(620\) | 3.41562e6 | + | 1.97201e6i | 0.356854 | + | 0.206030i | ||||
\(621\) | −1.34942e6 | + | 1.12178e6i | −0.140417 | + | 0.116729i | ||||
\(622\) | 8.81960e6i | 0.914057i | ||||||||
\(623\) | 2.31557e6 | − | 389384.i | 0.239022 | − | 0.0401937i | ||||
\(624\) | 41620.3 | + | 733950.i | 0.00427901 | + | 0.0754580i | ||||
\(625\) | 5.75356e6 | + | 9.96545e6i | 0.589164 | + | 1.02046i | ||||
\(626\) | −4.97384e6 | + | 8.61495e6i | −0.507290 | + | 0.878652i | ||||
\(627\) | −765087. | + | 1.51761e6i | −0.0777216 | + | 0.154167i | ||||
\(628\) | −6.11815e6 | + | 3.53232e6i | −0.619044 | + | 0.357405i | ||||
\(629\) | 9.71088e6 | 0.978660 | ||||||||
\(630\) | −8.30518e6 | − | 2.06506e6i | −0.833676 | − | 0.207291i | ||||
\(631\) | 1.97794e6 | 0.197761 | 0.0988804 | − | 0.995099i | \(-0.468474\pi\) | ||||
0.0988804 | + | 0.995099i | \(0.468474\pi\) | |||||||
\(632\) | −1.07995e7 | + | 6.23509e6i | −1.07550 | + | 0.620940i | ||||
\(633\) | −4.70616e6 | + | 9.33506e6i | −0.466828 | + | 0.925994i | ||||
\(634\) | −3.01688e6 | + | 5.22539e6i | −0.298082 | + | 0.516292i | ||||
\(635\) | 1.56743e6 | + | 2.71487e6i | 0.154260 | + | 0.267187i | ||||
\(636\) | 263417. | + | 4.64521e6i | 0.0258227 | + | 0.455368i | ||||
\(637\) | 6.48584e6 | − | 7.48508e6i | 0.633312 | − | 0.730883i | ||||
\(638\) | − | 762299.i | − | 0.0741436i | ||||||
\(639\) | 1.18461e7 | − | 8.76287e6i | 1.14769 | − | 0.848974i | ||||
\(640\) | 6.15322e6 | + | 3.55256e6i | 0.593817 | + | 0.342840i | ||||
\(641\) | 5.95229e6 | + | 3.43656e6i | 0.572189 | + | 0.330353i | 0.758023 | − | 0.652228i | \(-0.226165\pi\) |
−0.185834 | + | 0.982581i | \(0.559499\pi\) | |||||||
\(642\) | −4.60991e6 | − | 7.03246e6i | −0.441423 | − | 0.673395i | ||||
\(643\) | 4.81869e6i | 0.459623i | 0.973235 | + | 0.229811i | \(0.0738109\pi\) | ||||
−0.973235 | + | 0.229811i | \(0.926189\pi\) | |||||||
\(644\) | 1.04892e6 | + | 391225.i | 0.0996612 | + | 0.0371716i | ||||
\(645\) | −6.18878e6 | + | 350949.i | −0.585742 | + | 0.0332158i | ||||
\(646\) | −6.25956e6 | − | 1.08419e7i | −0.590150 | − | 1.02217i | ||||
\(647\) | 3.75204e6 | − | 6.49872e6i | 0.352376 | − | 0.610333i | −0.634289 | − | 0.773096i | \(-0.718707\pi\) |
0.986665 | + | 0.162763i | \(0.0520405\pi\) | |||||||
\(648\) | 1.04511e7 | + | 3.19871e6i | 0.977738 | + | 0.299252i | ||||
\(649\) | 264269. | − | 152576.i | 0.0246283 | − | 0.0142191i | ||||
\(650\) | 5.16739e6 | 0.479720 | ||||||||
\(651\) | −1.27370e6 | − | 5.61025e6i | −0.117792 | − | 0.518836i | ||||
\(652\) | −4.31554e6 | −0.397573 | ||||||||
\(653\) | −1.21493e7 | + | 7.01440e6i | −1.11498 | + | 0.643735i | −0.940115 | − | 0.340857i | \(-0.889283\pi\) |
−0.174867 | + | 0.984592i | \(0.555950\pi\) | |||||||
\(654\) | −1.33074e6 | − | 670874.i | −0.121660 | − | 0.0613334i | ||||
\(655\) | 1.05196e7 | − | 1.82204e7i | 0.958064 | − | 1.65942i | ||||
\(656\) | 486659. | + | 842919.i | 0.0441535 | + | 0.0764762i | ||||
\(657\) | −1.41866e6 | − | 1.24684e7i | −0.128223 | − | 1.12693i | ||||
\(658\) | 2.46859e6 | − | 2.03824e6i | 0.222271 | − | 0.183523i | ||||
\(659\) | − | 4.93455e6i | − | 0.442623i | −0.975203 | − | 0.221311i | \(-0.928966\pi\) | ||
0.975203 | − | 0.221311i | \(-0.0710337\pi\) | |||||||
\(660\) | −711497. | + | 466400.i | −0.0635790 | + | 0.0416772i | ||||
\(661\) | 1.59100e7 | + | 9.18563e6i | 1.41633 | + | 0.817721i | 0.995975 | − | 0.0896367i | \(-0.0285706\pi\) |
0.420360 | + | 0.907358i | \(0.361904\pi\) | |||||||
\(662\) | −8.31126e6 | − | 4.79851e6i | −0.737092 | − | 0.425560i | ||||
\(663\) | −9.50728e6 | + | 6.23221e6i | −0.839987 | + | 0.550628i | ||||
\(664\) | 1.61255e6i | 0.141936i | ||||||||
\(665\) | −2.05651e7 | + | 1.69800e7i | −1.80333 | + | 1.48896i | ||||
\(666\) | −787923. | − | 6.92494e6i | −0.0688332 | − | 0.604965i | ||||
\(667\) | −1.22637e6 | − | 2.12413e6i | −0.106735 | − | 0.184870i | ||||
\(668\) | 1.61902e6 | − | 2.80422e6i | 0.140382 | − | 0.243148i | ||||
\(669\) | −260701. | − | 131429.i | −0.0225204 | − | 0.0113534i | ||||
\(670\) | 3.03193e6 | − | 1.75049e6i | 0.260935 | − | 0.150651i | ||||
\(671\) | −221284. | −0.0189734 | ||||||||
\(672\) | −2.51923e6 | − | 1.10964e7i | −0.215201 | − | 0.947892i | ||||
\(673\) | 5.27763e6 | 0.449160 | 0.224580 | − | 0.974456i | \(-0.427899\pi\) | ||||
0.224580 | + | 0.974456i | \(0.427899\pi\) | |||||||
\(674\) | 9.53578e6 | − | 5.50548e6i | 0.808549 | − | 0.466816i | ||||
\(675\) | 3.14741e6 | − | 8.52539e6i | 0.265885 | − | 0.720203i | ||||
\(676\) | −223989. | + | 387960.i | −0.0188521 | + | 0.0326528i | ||||
\(677\) | −6.85310e6 | − | 1.18699e7i | −0.574666 | − | 0.995351i | −0.996078 | − | 0.0884815i | \(-0.971799\pi\) |
0.421412 | − | 0.906869i | \(-0.361535\pi\) | |||||||
\(678\) | −1.08619e6 | + | 61594.6i | −0.0907465 | + | 0.00514599i | ||||
\(679\) | −2.26429e6 | − | 844535.i | −0.188477 | − | 0.0702980i | ||||
\(680\) | − | 1.70244e7i | − | 1.41189i | ||||||
\(681\) | 3.82048e6 | + | 5.82818e6i | 0.315683 | + | 0.481576i | ||||
\(682\) | 354954. | + | 204933.i | 0.0292221 | + | 0.0168714i | ||||
\(683\) | 1.35604e7 | + | 7.82911e6i | 1.11230 | + | 0.642186i | 0.939424 | − | 0.342758i | \(-0.111361\pi\) |
0.172875 | + | 0.984944i | \(0.444694\pi\) | |||||||
\(684\) | 1.00792e7 | − | 7.45585e6i | 0.823734 | − | 0.609336i | ||||
\(685\) | 1.95983e7i | 1.59585i | ||||||||
\(686\) | 4.14496e6 | − | 6.80027e6i | 0.336287 | − | 0.551717i | ||||
\(687\) | 19416.7 | + | 342402.i | 0.00156958 | + | 0.0276786i | ||||
\(688\) | 214077. | + | 370793.i | 0.0172425 | + | 0.0298649i | ||||
\(689\) | −4.71777e6 | + | 8.17142e6i | −0.378607 | + | 0.655767i | ||||
\(690\) | 883119. | − | 1.75174e6i | 0.0706150 | − | 0.140071i | ||||
\(691\) | 3.65594e6 | − | 2.11076e6i | 0.291275 | − | 0.168168i | −0.347242 | − | 0.937776i | \(-0.612882\pi\) |
0.638517 | + | 0.769608i | \(0.279548\pi\) | |||||||
\(692\) | −9.14342e6 | −0.725844 | ||||||||
\(693\) | 1.20428e6 | + | 299440.i | 0.0952562 | + | 0.0236852i | ||||
\(694\) | −1.06346e7 | −0.838150 | ||||||||
\(695\) | 2.34130e7 | − | 1.35175e7i | 1.83863 | − | 1.06154i | ||||
\(696\) | −6.87701e6 | + | 1.36411e7i | −0.538117 | + | 1.06740i | ||||
\(697\) | −7.52560e6 | + | 1.30347e7i | −0.586758 | + | 1.01630i | ||||
\(698\) | −7.18739e6 | − | 1.24489e7i | −0.558384 | − | 0.967149i | ||||
\(699\) | 470485. | + | 8.29673e6i | 0.0364211 | + | 0.642264i | ||||
\(700\) | −5.71743e6 | + | 961438.i | −0.441018 | + | 0.0741611i | ||||
\(701\) | − | 2.08992e7i | − | 1.60633i | −0.595758 | − | 0.803164i | \(-0.703148\pi\) | ||
0.595758 | − | 0.803164i | \(-0.296852\pi\) | |||||||
\(702\) | 5.21566e6 | + | 6.27408e6i | 0.399454 | + | 0.480515i | ||||
\(703\) | −1.88093e7 | − | 1.08596e7i | −1.43544 | − | 0.828751i | ||||
\(704\) | 789417. | + | 455770.i | 0.0600309 | + | 0.0346589i | ||||
\(705\) | 4.29127e6 | + | 6.54636e6i | 0.325172 | + | 0.496052i | ||||
\(706\) | − | 7.07610e6i | − | 0.534297i | ||||||
\(707\) | −1.40815e7 | − | 1.70546e7i | −1.05950 | − | 1.28319i | ||||
\(708\) | −2.24740e6 | + | 127444.i | −0.168499 | + | 0.00955511i | ||||
\(709\) | −1.03050e6 | − | 1.78488e6i | −0.0769895 | − | 0.133350i | 0.824960 | − | 0.565191i | \(-0.191197\pi\) |
−0.901950 | + | 0.431841i | \(0.857864\pi\) | |||||||
\(710\) | −8.23639e6 | + | 1.42658e7i | −0.613184 | + | 1.06207i | ||||
\(711\) | −6.53040e6 | + | 1.50126e7i | −0.484469 | + | 1.11373i | ||||
\(712\) | 2.90329e6 | − | 1.67621e6i | 0.214630 | − | 0.123917i | ||||
\(713\) | 1.31876e6 | 0.0971499 | ||||||||
\(714\) | −6.70793e6 | + | 6.20968e6i | −0.492428 | + | 0.455852i | ||||
\(715\) | −1.72528e6 | −0.126210 | ||||||||
\(716\) | −1.03530e7 | + | 5.97731e6i | −0.754717 | + | 0.435736i | ||||
\(717\) | −3.74533e6 | − | 1.88816e6i | −0.272077 | − | 0.137164i | ||||
\(718\) | 2.54485e6 | − | 4.40781e6i | 0.184226 | − | 0.319089i | ||||
\(719\) | 1.12467e7 | + | 1.94798e7i | 0.811339 | + | 1.40528i | 0.911927 | + | 0.410353i | \(0.134594\pi\) |
−0.100588 | + | 0.994928i | \(0.532072\pi\) | |||||||
\(720\) | −1.43607e6 | + | 163397.i | −0.103239 | + | 0.0117466i | ||||
\(721\) | 1.26601e6 | + | 7.52862e6i | 0.0906979 | + | 0.539358i | ||||
\(722\) | 1.89497e7i | 1.35288i | ||||||||
\(723\) | −3.47861e6 | + | 2.28029e6i | −0.247491 | + | 0.162235i | ||||
\(724\) | −757754. | − | 437489.i | −0.0537257 | − | 0.0310185i | ||||
\(725\) | 1.10005e7 | + | 6.35114e6i | 0.777261 | + | 0.448752i | ||||
\(726\) | 7.60031e6 | − | 4.98215e6i | 0.535168 | − | 0.350813i | ||||
\(727\) | − | 2.23831e7i | − | 1.57067i | −0.619073 | − | 0.785334i | \(-0.712491\pi\) | ||
0.619073 | − | 0.785334i | \(-0.287509\pi\) | |||||||
\(728\) | 4.94159e6 | − | 1.32489e7i | 0.345572 | − | 0.926516i | ||||
\(729\) | 1.35281e7 | − | 4.78355e6i | 0.942795 | − | 0.333374i | ||||
\(730\) | 7.01442e6 | + | 1.21493e7i | 0.487175 | + | 0.843812i | ||||
\(731\) | −3.31045e6 | + | 5.73386e6i | −0.229136 | + | 0.396875i | ||||
\(732\) | 1.45760e6 | + | 734829.i | 0.100545 | + | 0.0506884i | ||||
\(733\) | 1.07715e7 | − | 6.21894e6i | 0.740487 | − | 0.427520i | −0.0817596 | − | 0.996652i | \(-0.526054\pi\) |
0.822246 | + | 0.569132i | \(0.192721\pi\) | |||||||
\(734\) | 3.60110e6 | 0.246715 | ||||||||
\(735\) | 1.54148e7 | + | 1.18982e7i | 1.05249 | + | 0.812386i | ||||
\(736\) | 2.60835e6 | 0.177489 | ||||||||
\(737\) | −439640. | + | 253826.i | −0.0298146 | + | 0.0172134i | ||||
\(738\) | 9.90582e6 | + | 4.30898e6i | 0.669498 | + | 0.291228i | ||||
\(739\) | 6.72742e6 | − | 1.16522e7i | 0.453145 | − | 0.784871i | −0.545434 | − | 0.838154i | \(-0.683635\pi\) |
0.998579 | + | 0.0532829i | \(0.0169685\pi\) | |||||||
\(740\) | −5.43591e6 | − | 9.41527e6i | −0.364916 | − | 0.632053i | ||||
\(741\) | 2.53844e7 | − | 1.43948e6i | 1.69832 | − | 0.0963073i | ||||
\(742\) | −2.65142e6 | + | 7.10875e6i | −0.176795 | + | 0.474006i | ||||
\(743\) | 1.80287e7i | 1.19810i | 0.800713 | + | 0.599049i | \(0.204454\pi\) | ||||
−0.800713 | + | 0.599049i | \(0.795546\pi\) | |||||||
\(744\) | −4.50303e6 | − | 6.86941e6i | −0.298245 | − | 0.454975i | ||||
\(745\) | −2.48377e7 | − | 1.43400e7i | −1.63953 | − | 0.946585i | ||||
\(746\) | 7.96359e6 | + | 4.59778e6i | 0.523916 | + | 0.302483i | ||||
\(747\) | 1.25900e6 | + | 1.70198e6i | 0.0825511 | + | 0.111597i | ||||
\(748\) | 908680.i | 0.0593823i | ||||||||
\(749\) | 3.17281e6 | + | 1.88679e7i | 0.206652 | + | 1.22891i | ||||
\(750\) | −174036. | − | 3.06902e6i | −0.0112976 | − | 0.199226i | ||||
\(751\) | −4.12037e6 | − | 7.13669e6i | −0.266586 | − | 0.461740i | 0.701392 | − | 0.712776i | \(-0.252562\pi\) |
−0.967978 | + | 0.251036i | \(0.919229\pi\) | |||||||
\(752\) | 270328. | − | 468222.i | 0.0174320 | − | 0.0301931i | ||||
\(753\) | 6.64955e6 | − | 1.31900e7i | 0.427371 | − | 0.847727i | ||||
\(754\) | −9.87603e6 | + | 5.70193e6i | −0.632636 | + | 0.365253i | ||||
\(755\) | −2.05531e7 | −1.31223 | ||||||||
\(756\) | −6.93819e6 | − | 5.97151e6i | −0.441511 | − | 0.379996i | ||||
\(757\) | −1.17983e7 | −0.748308 | −0.374154 | − | 0.927367i | \(-0.622067\pi\) | ||||
−0.374154 | + | 0.927367i | \(0.622067\pi\) | |||||||
\(758\) | 1.98749e6 | − | 1.14748e6i | 0.125641 | − | 0.0725391i | ||||
\(759\) | −128055. | + | 254008.i | −0.00806849 | + | 0.0160045i | ||||
\(760\) | −1.90382e7 | + | 3.29751e7i | −1.19562 | + | 2.07087i | ||||
\(761\) | 6.12100e6 | + | 1.06019e7i | 0.383143 | + | 0.663623i | 0.991510 | − | 0.130033i | \(-0.0415083\pi\) |
−0.608367 | + | 0.793656i | \(0.708175\pi\) | |||||||
\(762\) | −136058. | − | 2.39931e6i | −0.00848862 | − | 0.149692i | ||||
\(763\) | 2.15896e6 | + | 2.61480e6i | 0.134256 | + | 0.162602i | ||||
\(764\) | 1.41930e7i | 0.879711i | ||||||||
\(765\) | −1.32918e7 | − | 1.79686e7i | −0.821165 | − | 1.11010i | ||||
\(766\) | 9.82918e6 | + | 5.67488e6i | 0.605264 | + | 0.349450i | ||||
\(767\) | −3.95341e6 | − | 2.28250e6i | −0.242652 | − | 0.140095i | ||||
\(768\) | −9.31440e6 | − | 1.42092e7i | −0.569839 | − | 0.869294i | ||||
\(769\) | − | 2.89879e6i | − | 0.176767i | −0.996087 | − | 0.0883834i | \(-0.971830\pi\) | ||
0.996087 | − | 0.0883834i | \(-0.0281701\pi\) | |||||||
\(770\) | −1.36809e6 | + | 230057.i | −0.0831551 | + | 0.0139833i | ||||
\(771\) | 8.19131e6 | − | 464507.i | 0.496269 | − | 0.0281421i | ||||
\(772\) | −5.18502e6 | − | 8.98071e6i | −0.313117 | − | 0.542335i | ||||
\(773\) | −1.74994e6 | + | 3.03099e6i | −0.105336 | + | 0.182447i | −0.913875 | − | 0.405995i | \(-0.866925\pi\) |
0.808540 | + | 0.588442i | \(0.200258\pi\) | |||||||
\(774\) | 4.35749e6 | + | 1.89548e6i | 0.261447 | + | 0.113728i | ||||
\(775\) | −5.91464e6 | + | 3.41482e6i | −0.353732 | + | 0.204227i | ||||
\(776\) | −3.45035e6 | −0.205688 | ||||||||
\(777\) | −4.69179e6 | + | 1.51484e7i | −0.278796 | + | 0.900150i | ||||
\(778\) | 2.44812e6 | 0.145005 | ||||||||
\(779\) | 2.91532e7 | − | 1.68316e7i | 1.72124 | − | 0.993759i | ||||
\(780\) | 1.13644e7 | + | 5.72923e6i | 0.668822 | + | 0.337179i | ||||
\(781\) | 1.19430e6 | − | 2.06859e6i | 0.0700627 | − | 0.121352i | ||||
\(782\) | −1.04768e6 | − | 1.81464e6i | −0.0612651 | − | 0.106114i | ||||
\(783\) | 3.39190e6 | + | 1.97669e7i | 0.197715 | + | 1.15222i | ||||
\(784\) | 254541. | − | 1.32070e6i | 0.0147900 | − | 0.0767384i | ||||
\(785\) | − | 2.81683e7i | − | 1.63150i | ||||||
\(786\) | −1.34887e7 | + | 8.84209e6i | −0.778777 | + | 0.510503i | ||||
\(787\) | 2.15310e7 | + | 1.24309e7i | 1.23916 | + | 0.715429i | 0.968922 | − | 0.247365i | \(-0.0795646\pi\) |
0.270237 | + | 0.962794i | \(0.412898\pi\) | |||||||
\(788\) | 8.81254e6 | + | 5.08792e6i | 0.505575 | + | 0.291894i | ||||
\(789\) | −1.78005e7 | + | 1.16686e7i | −1.01798 | + | 0.667305i | ||||
\(790\) | − | 1.83023e7i | − | 1.04337i | ||||||
\(791\) | 2.31935e6 | + | 865072.i | 0.131803 | + | 0.0491599i | ||||
\(792\) | 1.76038e6 | − | 200297.i | 0.0997226 | − | 0.0113465i | ||||
\(793\) | 1.65519e6 | + | 2.86687e6i | 0.0934682 | + | 0.161892i | ||||
\(794\) | 6.38669e6 | − | 1.10621e7i | 0.359521 | − | 0.622709i | ||||
\(795\) | −1.65652e7 | − | 8.35116e6i | −0.929565 | − | 0.468629i | ||||
\(796\) | 3.40947e6 | − | 1.96846e6i | 0.190723 | − | 0.110114i | ||||
\(797\) | −4.51523e6 | −0.251787 | −0.125894 | − | 0.992044i | \(-0.540180\pi\) | ||||
−0.125894 | + | 0.992044i | \(0.540180\pi\) | |||||||
\(798\) | 1.99370e7 | − | 4.52632e6i | 1.10829 | − | 0.251616i | ||||
\(799\) | 8.36060e6 | 0.463309 | ||||||||
\(800\) | −1.16985e7 | + | 6.75410e6i | −0.646254 | + | 0.373115i | ||||
\(801\) | 1.75560e6 | − | 4.03592e6i | 0.0966819 | − | 0.222260i | ||||
\(802\) | 5.13801e6 | − | 8.89930e6i | 0.282072 | − | 0.488562i | ||||
\(803\) | −1.01711e6 | − | 1.76169e6i | −0.0556648 | − | 0.0964142i | ||||
\(804\) | 3.73879e6 | − | 212017.i | 0.203982 | − | 0.0115673i | ||||
\(805\) | −3.44205e6 | + | 2.84200e6i | −0.187209 | + | 0.154573i | ||||
\(806\) | − | 6.13152e6i | − | 0.332453i | ||||||
\(807\) | −249793. | − | 381061.i | −0.0135019 | − | 0.0205973i | ||||
\(808\) | −2.73462e7 | − | 1.57883e7i | −1.47356 | − | 0.850762i | ||||
\(809\) | −2.79806e7 | − | 1.61546e7i | −1.50309 | − | 0.867811i | −0.999994 | − | 0.00358270i | \(-0.998860\pi\) |
−0.503099 | − | 0.864228i | \(-0.667807\pi\) | |||||||
\(810\) | −1.17351e7 | + | 1.09365e7i | −0.628457 | + | 0.585686i | ||||
\(811\) | 1.64891e7i | 0.880329i | 0.897917 | + | 0.440164i | \(0.145080\pi\) | ||||
−0.897917 | + | 0.440164i | \(0.854920\pi\) | |||||||
\(812\) | 9.86639e6 | − | 8.14639e6i | 0.525132 | − | 0.433586i | ||||
\(813\) | −373962. | − | 6.59461e6i | −0.0198427 | − | 0.349915i | ||||
\(814\) | −564904. | − | 978442.i | −0.0298823 | − | 0.0517576i | ||||
\(815\) | 8.60352e6 | − | 1.49017e7i | 0.453714 | − | 0.785855i | ||||
\(816\) | −694957. | + | 1.37851e6i | −0.0365370 | + | 0.0724742i | ||||
\(817\) | 1.28242e7 | − | 7.40407e6i | 0.672165 | − | 0.388075i | ||||
\(818\) | 1.01989e7 | 0.532928 | ||||||||
\(819\) | −5.12846e6 | − | 1.78419e7i | −0.267163 | − | 0.929461i | ||||
\(820\) | 1.68506e7 | 0.875145 | ||||||||
\(821\) | −1.50775e7 | + | 8.70500e6i | −0.780678 | + | 0.450724i | −0.836670 | − | 0.547707i | \(-0.815501\pi\) |
0.0559928 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(822\) | 6.76327e6 | − | 1.34155e7i | 0.349122 | − | 0.692514i | ||||
\(823\) | −7.90254e6 | + | 1.36876e7i | −0.406693 | + | 0.704413i | −0.994517 | − | 0.104576i | \(-0.966652\pi\) |
0.587824 | + | 0.808989i | \(0.299985\pi\) | |||||||
\(824\) | 5.44988e6 | + | 9.43948e6i | 0.279621 | + | 0.484317i | ||||
\(825\) | −83405.9 | − | 1.47081e6i | −0.00426640 | − | 0.0752355i | ||||
\(826\) | −3.43928e6 | − | 1.28278e6i | −0.175395 | − | 0.0654189i | ||||
\(827\) | 7.08010e6i | 0.359978i | 0.983669 | + | 0.179989i | \(0.0576061\pi\) | ||||
−0.983669 | + | 0.179989i | \(0.942394\pi\) | |||||||
\(828\) | 1.68699e6 | − | 1.24791e6i | 0.0855141 | − | 0.0632568i | ||||
\(829\) | 186922. | + | 107920.i | 0.00944659 | + | 0.00545399i | 0.504716 | − | 0.863286i | \(-0.331597\pi\) |
−0.495269 | + | 0.868740i | \(0.664931\pi\) | |||||||
\(830\) | −2.04963e6 | − | 1.18335e6i | −0.103271 | − | 0.0596238i | ||||
\(831\) | −6.38373e6 | − | 9.73844e6i | −0.320680 | − | 0.489200i | ||||
\(832\) | − | 1.36365e7i | − | 0.682958i | ||||||
\(833\) | 1.96549e7 | − | 6.80266e6i | 0.981428 | − | 0.339677i | ||||
\(834\) | −2.06916e7 | + | 1.17336e6i | −1.03010 | + | 0.0584141i | ||||
\(835\) | 6.45539e6 | + | 1.11811e7i | 0.320410 | + | 0.554966i | ||||
\(836\) | 1.01617e6 | − | 1.76005e6i | 0.0502862 | − | 0.0870983i | ||||
\(837\) | −1.01161e7 | − | 3.73465e6i | −0.499112 | − | 0.184262i | ||||
\(838\) | 1.07853e7 | − | 6.22690e6i | 0.530546 | − | 0.306311i | ||||
\(839\) | −2.60061e7 | −1.27547 | −0.637735 | − | 0.770256i | \(-0.720129\pi\) | ||||
−0.637735 | + | 0.770256i | \(0.720129\pi\) | |||||||
\(840\) | 2.65571e7 | + | 8.22531e6i | 1.29862 | + | 0.402211i | ||||
\(841\) | −7.52137e6 | −0.366697 | ||||||||
\(842\) | −1.19365e7 | + | 6.89157e6i | −0.580227 | + | 0.334994i | ||||
\(843\) | 1.17192e7 | + | 5.90810e6i | 0.567976 | + | 0.286338i | ||||
\(844\) | 6.25058e6 | − | 1.08263e7i | 0.302040 | − | 0.523148i | ||||
\(845\) | −893093. | − | 1.54688e6i | −0.0430284 | − | 0.0745273i | ||||
\(846\) | −678363. | − | 5.96204e6i | −0.0325864 | − | 0.286397i | ||||
\(847\) | −2.03915e7 | + | 3.42901e6i | −0.976653 | + | 0.164233i | ||||
\(848\) | 1.28136e6i | 0.0611902i | ||||||||
\(849\) | 1.81573e7 | − | 1.19025e7i | 0.864534 | − | 0.566719i | ||||
\(850\) | 9.39772e6 | + | 5.42578e6i | 0.446144 | + | 0.257582i | ||||
\(851\) | −3.14818e6 | − | 1.81760e6i | −0.149017 | − | 0.0860349i | ||||
\(852\) | −1.47361e7 | + | 9.65981e6i | −0.695479 | + | 0.455900i | ||||
\(853\) | 2.81393e7i | 1.32416i | 0.749433 | + | 0.662080i | \(0.230326\pi\) | ||||
−0.749433 | + | 0.662080i | \(0.769674\pi\) | |||||||
\(854\) | 1.69479e6 | + | 2.05262e6i | 0.0795190 | + | 0.0963083i | ||||
\(855\) | 5.65125e6 | + | 4.96680e7i | 0.264380 | + | 2.32360i | ||||
\(856\) | 1.36583e7 | + | 2.36569e7i | 0.637107 | + | 1.10350i | ||||
\(857\) | −862650. | + | 1.49415e6i | −0.0401220 | + | 0.0694933i | −0.885389 | − | 0.464851i | \(-0.846108\pi\) |
0.845267 | + | 0.534344i | \(0.179441\pi\) | |||||||
\(858\) | 1.18100e6 | + | 595386.i | 0.0547686 | + | 0.0276109i | ||||
\(859\) | 3.41000e7 | − | 1.96876e7i | 1.57678 | − | 0.910354i | 0.581475 | − | 0.813564i | \(-0.302476\pi\) |
0.995305 | − | 0.0967905i | \(-0.0308577\pi\) | |||||||
\(860\) | 7.41242e6 | 0.341754 | ||||||||
\(861\) | −1.66974e7 | − | 1.80372e7i | −0.767612 | − | 0.829204i | ||||
\(862\) | −1.09908e7 | −0.503802 | ||||||||
\(863\) | −3.20069e7 | + | 1.84792e7i | −1.46291 | + | 0.844610i | −0.999145 | − | 0.0413494i | \(-0.986834\pi\) |
−0.463763 | + | 0.885959i | \(0.653501\pi\) | |||||||
\(864\) | −2.00083e7 | − | 7.38669e6i | −0.911857 | − | 0.336640i | ||||
\(865\) | 1.82284e7 | − | 3.15726e7i | 0.828341 | − | 1.43473i | ||||
\(866\) | 2.75737e6 | + | 4.77591e6i | 0.124940 | + | 0.216402i | ||||
\(867\) | −1.73647e6 | + | 98470.6i | −0.0784549 | + | 0.00444896i | ||||
\(868\) | 1.14082e6 | + | 6.78419e6i | 0.0513948 | + | 0.305632i | ||||
\(869\) | 2.65389e6i | 0.119215i | ||||||||
\(870\) | −1.22919e7 | − | 1.87515e7i | −0.550582 | − | 0.839918i | ||||
\(871\) | 6.57693e6 | + | 3.79719e6i | 0.293750 | + | 0.169597i | ||||
\(872\) | 4.19270e6 | + | 2.42066e6i | 0.186725 | + | 0.107806i | ||||
\(873\) | −3.64171e6 | + | 2.69386e6i | −0.161722 | + | 0.119630i | ||||
\(874\) | 4.68645e6i | 0.207523i | ||||||||
\(875\) | −2.44426e6 | + | 6.55334e6i | −0.107926 | + | 0.289363i | ||||
\(876\) | 849578. | + | 1.49818e7i | 0.0374062 | + | 0.659636i | ||||
\(877\) | 1.74011e7 | + | 3.01396e7i | 0.763973 | + | 1.32324i | 0.940788 | + | 0.338996i | \(0.110087\pi\) |
−0.176815 | + | 0.984244i | \(0.556579\pi\) | |||||||
\(878\) | 3.60321e6 | − | 6.24094e6i | 0.157744 | − | 0.273221i | ||||
\(879\) | 3.76903e6 | − | 7.47619e6i | 0.164535 | − | 0.326368i | ||||
\(880\) | −202907. | + | 117148.i | −0.00883262 | + | 0.00509951i | ||||
\(881\) | 2.98621e7 | 1.29623 | 0.648114 | − | 0.761544i | \(-0.275558\pi\) | ||||
0.648114 | + | 0.761544i | \(0.275558\pi\) | |||||||
\(882\) | −6.44582e6 | − | 1.34642e7i | −0.279001 | − | 0.582785i | ||||
\(883\) | −3.38129e7 | −1.45942 | −0.729710 | − | 0.683757i | \(-0.760345\pi\) | ||||
−0.729710 | + | 0.683757i | \(0.760345\pi\) | |||||||
\(884\) | 1.17725e7 | − | 6.79684e6i | 0.506684 | − | 0.292534i | ||||
\(885\) | 4.04037e6 | − | 8.01442e6i | 0.173406 | − | 0.343965i | ||||
\(886\) | 3.90506e6 | − | 6.76377e6i | 0.167126 | − | 0.289471i | ||||
\(887\) | 1.50058e7 | + | 2.59908e7i | 0.640398 | + | 1.10920i | 0.985344 | + | 0.170579i | \(0.0545637\pi\) |
−0.344946 | + | 0.938622i | \(0.612103\pi\) | |||||||
\(888\) | 1.28188e6 | + | 2.26052e7i | 0.0545525 | + | 0.962001i | ||||
\(889\) | −1.91088e6 | + | 5.12329e6i | −0.0810923 | + | 0.217417i | ||||
\(890\) | 4.92030e6i | 0.208217i | ||||||||
\(891\) | 1.70163e6 | − | 1.58582e6i | 0.0718077 | − | 0.0669207i | ||||
\(892\) | 302347. | + | 174560.i | 0.0127231 | + | 0.00734570i | ||||
\(893\) | −1.61939e7 | − | 9.34956e6i | −0.679553 | − | 0.392340i | ||||
\(894\) | 1.20533e7 | + | 1.83875e7i | 0.504387 | + | 0.769446i | ||||
\(895\) | − | 4.76658e7i | − | 1.98906i | ||||||
\(896\) | 2.05518e6 | + | 1.22217e7i | 0.0855226 | + | 0.508581i | ||||
\(897\) | 4.24866e6 | − | 240930.i | 0.176308 | − | 0.00999793i | ||||
\(898\) | 1.08070e7 | + | 1.87183e7i | 0.447213 | + | 0.774596i | ||||
\(899\) | 7.53613e6 | − | 1.30530e7i | 0.310992 | − | 0.538654i | ||||
\(900\) | −4.33481e6 | + | 9.96521e6i | −0.178387 | + | 0.410091i | ||||
\(901\) | −1.71600e7 | + | 9.90735e6i | −0.704217 | + | 0.406580i | ||||
\(902\) | 1.75112e6 | 0.0716639 | ||||||||
\(903\) | −7.34506e6 | − | 7.93442e6i | −0.299762 | − | 0.323814i | ||||
\(904\) | 3.53425e6 | 0.143839 | ||||||||
\(905\) | 3.02133e6 | − | 1.74437e6i | 0.122624 | − | 0.0707973i | ||||
\(906\) | 1.40691e7 | + | 7.09277e6i | 0.569438 | + | 0.287075i | ||||
\(907\) | −5.32535e6 | + | 9.22377e6i | −0.214946 | + | 0.372298i | −0.953256 | − | 0.302164i | \(-0.902291\pi\) |
0.738310 | + | 0.674462i | \(0.235624\pi\) | |||||||
\(908\) | −4.16662e6 | − | 7.21680e6i | −0.167714 | − | 0.290489i | ||||
\(909\) | −4.11896e7 | + | 4.68657e6i | −1.65340 | + | 0.188125i | ||||
\(910\) | 1.32137e7 | + | 1.60036e7i | 0.528959 | + | 0.640642i | ||||
\(911\) | 1.33185e7i | 0.531690i | 0.964016 | + | 0.265845i | \(0.0856509\pi\) | ||||
−0.964016 | + | 0.265845i | \(0.914349\pi\) | |||||||
\(912\) | 2.88765e6 | − | 1.89291e6i | 0.114963 | − | 0.0753604i | ||||
\(913\) | 297203. | + | 171590.i | 0.0117998 | + | 0.00681264i | ||||
\(914\) | −2.38001e7 | − | 1.37410e7i | −0.942352 | − | 0.544067i | ||||
\(915\) | −5.44327e6 | + | 3.56817e6i | −0.214935 | + | 0.140894i | ||||
\(916\) | − | 410101.i | − | 0.0161493i | ||||||
\(917\) | 3.61898e7 | − | 6.08565e6i | 1.42123 | − | 0.238992i | ||||
\(918\) | 2.89770e6 | + | 1.68869e7i | 0.113487 | + | 0.661367i | ||||
\(919\) | −591537. | − | 1.02457e6i | −0.0231043 | − | 0.0400178i | 0.854242 | − | 0.519875i | \(-0.174022\pi\) |
−0.877346 | + | 0.479858i | \(0.840688\pi\) | |||||||
\(920\) | −3.18649e6 | + | 5.51916e6i | −0.124120 | + | 0.214982i | ||||
\(921\) | −7.11845e6 | − | 3.58868e6i | −0.276526 | − | 0.139407i | ||||
\(922\) | −2.94121e6 | + | 1.69811e6i | −0.113946 | + | 0.0657868i | ||||
\(923\) | −3.57331e7 | −1.38059 | ||||||||
\(924\) | −1.41749e6 | − | 439027.i | −0.0546185 | − | 0.0169165i | ||||
\(925\) | 1.88261e7 | 0.723446 | ||||||||
\(926\) | −3.84579e6 | + | 2.22037e6i | −0.147387 | + | 0.0850937i | ||||
\(927\) | 1.31220e7 | + | 5.70800e6i | 0.501535 | + | 0.218165i | ||||
\(928\) | 1.49056e7 | − | 2.58172e7i | 0.568170 | − | 0.984100i | ||||
\(929\) | 4.74229e6 | + | 8.21389e6i | 0.180281 | + | 0.312255i | 0.941976 | − | 0.335680i | \(-0.108966\pi\) |
−0.761695 | + | 0.647935i | \(0.775633\pi\) | |||||||
\(930\) | 1.20359e7 | − | 682522.i | 0.456321 | − | 0.0258767i | ||||
\(931\) | −4.56775e7 | − | 8.80355e6i | −1.72714 | − | 0.332877i | ||||
\(932\) | − | 9.93714e6i | − | 0.374733i | ||||||
\(933\) | −2.06216e7 | − | 3.14584e7i | −0.775563 | − | 1.18313i | ||||
\(934\) | −9.59477e6 | − | 5.53954e6i | −0.359888 | − | 0.207781i | ||||
\(935\) | −3.13770e6 | − | 1.81155e6i | −0.117377 | − | 0.0677676i | ||||
\(936\) | −1.57625e7 | − | 2.13086e7i | −0.588077 | − | 0.794995i | ||||
\(937\) | 1.67626e7i | 0.623723i | 0.950128 | + | 0.311861i | \(0.100952\pi\) | ||||
−0.950128 | + | 0.311861i | \(0.899048\pi\) | |||||||
\(938\) | 5.72162e6 | + | 2.13405e6i | 0.212330 | + | 0.0791950i | ||||
\(939\) | −2.40200e6 | − | 4.23580e7i | −0.0889016 | − | 1.56773i | ||||
\(940\) | −4.68005e6 | − | 8.10609e6i | −0.172755 | − | 0.299221i | ||||
\(941\) | 2.05801e7 | − | 3.56458e7i | 0.757660 | − | 1.31231i | −0.186381 | − | 0.982477i | \(-0.559676\pi\) |
0.944041 | − | 0.329828i | \(-0.106991\pi\) | |||||||
\(942\) | −9.72072e6 | + | 1.92819e7i | −0.356920 | + | 0.707982i | ||||
\(943\) | 4.87946e6 | − | 2.81716e6i | 0.178687 | − | 0.103165i | ||||
\(944\) | −619935. | −0.0226421 | ||||||||
\(945\) | 3.44519e7 | − | 1.20530e7i | 1.25497 | − | 0.439050i | ||||
\(946\) | 770305. | 0.0279856 | ||||||||
\(947\) | 1.94640e7 | − | 1.12376e7i | 0.705274 | − | 0.407190i | −0.104034 | − | 0.994574i | \(-0.533175\pi\) |
0.809309 | + | 0.587383i | \(0.199842\pi\) | |||||||
\(948\) | 8.81288e6 | − | 1.74811e7i | 0.318491 | − | 0.631754i | ||||
\(949\) | −1.52158e7 | + | 2.63546e7i | −0.548441 | + | 0.949928i | ||||
\(950\) | −1.21352e7 | − | 2.10187e7i | −0.436251 | − | 0.755610i | ||||
\(951\) | −1.45693e6 | − | 2.56922e7i | −0.0522383 | − | 0.921192i | ||||
\(952\) | 2.28985e7 | − | 1.89066e7i | 0.818870 | − | 0.676117i | ||||
\(953\) | 3.77762e6i | 0.134737i | 0.997728 | + | 0.0673683i | \(0.0214603\pi\) | ||||
−0.997728 | + | 0.0673683i | \(0.978540\pi\) | |||||||
\(954\) | 8.45738e6 | + | 1.14332e7i | 0.300860 | + | 0.406720i | ||||
\(955\) | −4.90089e7 | − | 2.82953e7i | −1.73887 | − | 1.00393i | ||||
\(956\) | 4.34364e6 | + | 2.50780e6i | 0.153713 | + | 0.0887460i | ||||
\(957\) | 1.78237e6 | + | 2.71902e6i | 0.0629098 | + | 0.0959694i | ||||
\(958\) | 299367.i | 0.0105388i | ||||||||
\(959\) | −2.63605e7 | + | 2.17651e7i | −0.925566 | + | 0.764213i | ||||
\(960\) | 2.67677e7 | − | 1.51793e6i | 0.937419 | − | 0.0531585i | ||||
\(961\) | −1.02626e7 | − | 1.77754e7i | −0.358467 | − | 0.620884i | ||||
\(962\) | −8.45086e6 | + | 1.46373e7i | −0.294417 | + | 0.509945i | ||||
\(963\) | 3.28859e7 | + | 1.43052e7i | 1.14273 | + | 0.497082i | ||||
\(964\) | 4.30742e6 | − | 2.48689e6i | 0.149288 | − | 0.0861913i | ||||
\(965\) | 4.13476e7 | 1.42933 | ||||||||
\(966\) | 3.33692e6 | − | 757586.i | 0.115054 | − | 0.0261210i | ||||
\(967\) | 3.72823e7 | 1.28214 | 0.641072 | − | 0.767481i | \(-0.278490\pi\) | ||||
0.641072 | + | 0.767481i | \(0.278490\pi\) | |||||||
\(968\) | −2.55671e7 | + | 1.47612e7i | −0.876987 | + | 0.506329i | ||||
\(969\) | 4.76770e7 | + | 2.40358e7i | 1.63117 | + | 0.822334i | ||||
\(970\) | 2.53201e6 | − | 4.38556e6i | 0.0864043 | − | 0.149657i | ||||
\(971\) | −1.89586e7 | − | 3.28373e7i | −0.645296 | − | 1.11769i | −0.984233 | − | 0.176877i | \(-0.943401\pi\) |
0.338937 | − | 0.940809i | \(-0.389933\pi\) | |||||||
\(972\) | −1.64747e7 | + | 4.79510e6i | −0.559311 | + | 0.162792i | ||||
\(973\) | 4.41832e7 | + | 1.64794e7i | 1.49615 | + | 0.558033i | ||||
\(974\) | − | 1.61376e7i | − | 0.545056i | ||||||
\(975\) | −1.84314e7 | + | 1.20821e7i | −0.620936 | + | 0.407035i | ||||
\(976\) | 389325. | + | 224777.i | 0.0130824 | + | 0.00755314i | ||||
\(977\) | 2.21992e7 | + | 1.28167e7i | 0.744050 | + | 0.429577i | 0.823540 | − | 0.567258i | \(-0.191996\pi\) |
−0.0794903 | + | 0.996836i | \(0.525329\pi\) | |||||||
\(978\) | −1.10318e7 | + | 7.23158e6i | −0.368808 | + | 0.241761i | ||||
\(979\) | − | 713459.i | − | 0.0237910i | ||||||
\(980\) | −1.75979e7 | − | 1.52486e7i | −0.585323 | − | 0.507184i | ||||
\(981\) | 6.31517e6 | − | 718542.i | 0.209514 | − | 0.0238385i | ||||
\(982\) | −1.75586e7 | − | 3.04124e7i | −0.581047 | − | 1.00640i | ||||
\(983\) | −1.74664e7 | + | 3.02526e7i | −0.576526 | + | 0.998572i | 0.419348 | + | 0.907826i | \(0.362259\pi\) |
−0.995874 | + | 0.0907467i | \(0.971075\pi\) | |||||||
\(984\) | −3.13359e7 | − | 1.57976e7i | −1.03170 | − | 0.520120i | ||||
\(985\) | −3.51375e7 | + | 2.02867e7i | −1.15393 | + | 0.666224i | ||||
\(986\) | −2.39482e7 | −0.784477 | ||||||||
\(987\) | −4.03941e6 | + | 1.30421e7i | −0.131985 | + | 0.426141i | ||||
\(988\) | −3.04033e7 | −0.990897 | ||||||||
\(989\) | 2.14643e6 | − | 1.23924e6i | 0.0697793 | − | 0.0402871i | ||||
\(990\) | −1.03725e6 | + | 2.38452e6i | −0.0336354 | + | 0.0773237i | ||||
\(991\) | −2.48035e7 | + | 4.29610e7i | −0.802286 | + | 1.38960i | 0.115822 | + | 0.993270i | \(0.463050\pi\) |
−0.918108 | + | 0.396330i | \(0.870283\pi\) | |||||||
\(992\) | 8.01429e6 | + | 1.38812e7i | 0.258574 | + | 0.447864i | ||||
\(993\) | 4.08648e7 | − | 2.31733e6i | 1.31515 | − | 0.0745787i | ||||
\(994\) | −2.83351e7 | + | 4.76481e6i | −0.909619 | + | 0.152961i | ||||
\(995\) | 1.56974e7i | 0.502654i | ||||||||
\(996\) | −1.38786e6 | − | 2.11720e6i | −0.0443301 | − | 0.0676259i | ||||
\(997\) | −7.82003e6 | − | 4.51490e6i | −0.249155 | − | 0.143850i | 0.370222 | − | 0.928943i | \(-0.379282\pi\) |
−0.619377 | + | 0.785093i | \(0.712615\pi\) | |||||||
\(998\) | 3.18735e7 | + | 1.84022e7i | 1.01299 | + | 0.584848i | ||||
\(999\) | 1.90020e7 | + | 2.28581e7i | 0.602400 | + | 0.724646i |
(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 | 21.6.g.c.17.3 | yes | 16 | |
3.2 | odd | 2 | inner | 21.6.g.c.17.6 | yes | 16 | |
7.3 | odd | 6 | 147.6.c.c.146.6 | 16 | |||
7.4 | even | 3 | 147.6.c.c.146.5 | 16 | |||
7.5 | odd | 6 | inner | 21.6.g.c.5.6 | yes | 16 | |
21.5 | even | 6 | inner | 21.6.g.c.5.3 | ✓ | 16 | |
21.11 | odd | 6 | 147.6.c.c.146.12 | 16 | |||
21.17 | even | 6 | 147.6.c.c.146.11 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.6.g.c.5.3 | ✓ | 16 | 21.5 | even | 6 | inner | |
21.6.g.c.5.6 | yes | 16 | 7.5 | odd | 6 | inner | |
21.6.g.c.17.3 | yes | 16 | 1.1 | even | 1 | trivial | |
21.6.g.c.17.6 | yes | 16 | 3.2 | odd | 2 | inner | |
147.6.c.c.146.5 | 16 | 7.4 | even | 3 | |||
147.6.c.c.146.6 | 16 | 7.3 | odd | 6 | |||
147.6.c.c.146.11 | 16 | 21.17 | even | 6 | |||
147.6.c.c.146.12 | 16 | 21.11 | odd | 6 |