Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,6,Mod(8,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([12]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.8");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.e (of order \(7\), 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: | \(7.85880717084\) |
Analytic rank: | \(0\) |
Dimension: | \(138\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 8.16 | ||
Character | \(\chi\) | \(=\) | 49.8 |
Dual form | 49.6.e.a.43.16 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.96579 | + | 3.71898i | 0.524282 | + | 0.657429i | 0.971512 | − | 0.236990i | \(-0.0761609\pi\) |
−0.447230 | + | 0.894419i | \(0.647589\pi\) | |||||||
\(3\) | −21.3031 | + | 10.2591i | −1.36660 | + | 0.658119i | −0.966097 | − | 0.258178i | \(-0.916878\pi\) |
−0.400500 | + | 0.916297i | \(0.631164\pi\) | |||||||
\(4\) | 2.08576 | − | 9.13830i | 0.0651799 | − | 0.285572i | ||||
\(5\) | −47.1674 | + | 22.7146i | −0.843756 | + | 0.406331i | −0.805256 | − | 0.592927i | \(-0.797972\pi\) |
−0.0384996 | + | 0.999259i | \(0.512258\pi\) | |||||||
\(6\) | −101.334 | − | 48.7998i | −1.14915 | − | 0.553401i | ||||
\(7\) | 76.1422 | − | 104.925i | 0.587328 | − | 0.809349i | ||||
\(8\) | 177.313 | − | 85.3894i | 0.979525 | − | 0.471714i | ||||
\(9\) | 197.068 | − | 247.115i | 0.810978 | − | 1.01693i | ||||
\(10\) | −224.364 | − | 108.048i | −0.709500 | − | 0.341677i | ||||
\(11\) | −36.0209 | − | 45.1687i | −0.0897579 | − | 0.112553i | 0.734925 | − | 0.678149i | \(-0.237218\pi\) |
−0.824682 | + | 0.565596i | \(0.808646\pi\) | |||||||
\(12\) | 49.3171 | + | 216.072i | 0.0988655 | + | 0.433158i | ||||
\(13\) | −251.057 | − | 314.816i | −0.412016 | − | 0.516652i | 0.531913 | − | 0.846799i | \(-0.321473\pi\) |
−0.943930 | + | 0.330147i | \(0.892902\pi\) | |||||||
\(14\) | 616.037 | − | 28.0152i | 0.840015 | − | 0.0382009i | ||||
\(15\) | 771.783 | − | 967.785i | 0.885660 | − | 1.11058i | ||||
\(16\) | 573.192 | + | 276.035i | 0.559758 | + | 0.269565i | ||||
\(17\) | −305.919 | − | 1340.32i | −0.256735 | − | 1.12483i | −0.924718 | − | 0.380652i | \(-0.875700\pi\) |
0.667984 | − | 0.744176i | \(-0.267158\pi\) | |||||||
\(18\) | 1503.48 | 1.09374 | ||||||||
\(19\) | −1353.35 | −0.860053 | −0.430027 | − | 0.902816i | \(-0.641496\pi\) | ||||
−0.430027 | + | 0.902816i | \(0.641496\pi\) | |||||||
\(20\) | 109.193 | + | 478.407i | 0.0610409 | + | 0.267438i | ||||
\(21\) | −545.633 | + | 3016.39i | −0.269993 | + | 1.49259i | ||||
\(22\) | 61.1514 | − | 267.922i | 0.0269370 | − | 0.118019i | ||||
\(23\) | 358.676 | − | 1571.46i | 0.141378 | − | 0.619418i | −0.853738 | − | 0.520703i | \(-0.825670\pi\) |
0.995116 | − | 0.0987147i | \(-0.0314731\pi\) | |||||||
\(24\) | −2901.31 | + | 3638.13i | −1.02817 | + | 1.28929i | ||||
\(25\) | −239.598 | + | 300.446i | −0.0766714 | + | 0.0961429i | ||||
\(26\) | 426.211 | − | 1867.35i | 0.123649 | − | 0.541743i | ||||
\(27\) | −384.465 | + | 1684.45i | −0.101496 | + | 0.444681i | ||||
\(28\) | −800.026 | − | 914.660i | −0.192845 | − | 0.220478i | ||||
\(29\) | −1224.78 | − | 5366.13i | −0.270436 | − | 1.18486i | −0.909500 | − | 0.415704i | \(-0.863535\pi\) |
0.639064 | − | 0.769154i | \(-0.279322\pi\) | |||||||
\(30\) | 5888.12 | 1.19446 | ||||||||
\(31\) | −3747.05 | −0.700302 | −0.350151 | − | 0.936693i | \(-0.613870\pi\) | ||||
−0.350151 | + | 0.936693i | \(0.613870\pi\) | |||||||
\(32\) | −727.968 | − | 3189.44i | −0.125672 | − | 0.550604i | ||||
\(33\) | 1230.75 | + | 592.696i | 0.196736 | + | 0.0947430i | ||||
\(34\) | 4077.33 | − | 5112.81i | 0.604893 | − | 0.758511i | ||||
\(35\) | −1208.09 | + | 6678.60i | −0.166697 | + | 0.921543i | ||||
\(36\) | −1847.18 | − | 2316.29i | −0.237548 | − | 0.297876i | ||||
\(37\) | 3321.97 | + | 14554.5i | 0.398925 | + | 1.74780i | 0.631644 | + | 0.775259i | \(0.282380\pi\) |
−0.232719 | + | 0.972544i | \(0.574762\pi\) | |||||||
\(38\) | −4013.74 | − | 5033.07i | −0.450910 | − | 0.565424i | ||||
\(39\) | 8578.02 | + | 4130.96i | 0.903079 | + | 0.434900i | ||||
\(40\) | −6423.80 | + | 8055.19i | −0.634808 | + | 0.796023i | ||||
\(41\) | 2329.35 | − | 1121.76i | 0.216409 | − | 0.104217i | −0.322539 | − | 0.946556i | \(-0.604536\pi\) |
0.538948 | + | 0.842339i | \(0.318822\pi\) | |||||||
\(42\) | −12836.1 | + | 6916.77i | −1.12282 | + | 0.605035i | ||||
\(43\) | −14161.8 | − | 6819.98i | −1.16802 | − | 0.562487i | −0.253618 | − | 0.967304i | \(-0.581621\pi\) |
−0.914397 | + | 0.404818i | \(0.867335\pi\) | |||||||
\(44\) | −487.896 | + | 234.958i | −0.0379923 | + | 0.0182961i | ||||
\(45\) | −3682.04 | + | 16132.1i | −0.271055 | + | 1.18757i | ||||
\(46\) | 6907.98 | − | 3326.71i | 0.481345 | − | 0.231804i | ||||
\(47\) | 10028.5 | + | 12575.3i | 0.662202 | + | 0.830375i | 0.993581 | − | 0.113123i | \(-0.0360854\pi\) |
−0.331379 | + | 0.943498i | \(0.607514\pi\) | |||||||
\(48\) | −15042.6 | −0.942370 | ||||||||
\(49\) | −5211.72 | − | 15978.5i | −0.310092 | − | 0.950707i | ||||
\(50\) | −1827.95 | −0.103405 | ||||||||
\(51\) | 20267.4 | + | 25414.6i | 1.09112 | + | 1.36822i | ||||
\(52\) | −3400.53 | + | 1637.61i | −0.174396 | + | 0.0839849i | ||||
\(53\) | 2253.39 | − | 9872.73i | 0.110191 | − | 0.482778i | −0.889476 | − | 0.456981i | \(-0.848931\pi\) |
0.999667 | − | 0.0257968i | \(-0.00821229\pi\) | |||||||
\(54\) | −7404.68 | + | 3565.91i | −0.345559 | + | 0.166412i | ||||
\(55\) | 2725.00 | + | 1312.29i | 0.121467 | + | 0.0584956i | ||||
\(56\) | 4541.48 | − | 25106.4i | 0.193521 | − | 1.06983i | ||||
\(57\) | 28830.6 | − | 13884.1i | 1.17535 | − | 0.566017i | ||||
\(58\) | 16324.1 | − | 20469.7i | 0.637175 | − | 0.798992i | ||||
\(59\) | 31818.2 | + | 15322.9i | 1.19000 | + | 0.573073i | 0.920809 | − | 0.390015i | \(-0.127530\pi\) |
0.269189 | + | 0.963087i | \(0.413244\pi\) | |||||||
\(60\) | −7234.16 | − | 9071.35i | −0.259424 | − | 0.325307i | ||||
\(61\) | −1467.62 | − | 6430.07i | −0.0504998 | − | 0.221254i | 0.943381 | − | 0.331711i | \(-0.107626\pi\) |
−0.993881 | + | 0.110457i | \(0.964769\pi\) | |||||||
\(62\) | −11113.0 | − | 13935.2i | −0.367156 | − | 0.460399i | ||||
\(63\) | −10923.5 | − | 39493.3i | −0.346745 | − | 1.25364i | ||||
\(64\) | 22395.6 | − | 28083.2i | 0.683460 | − | 0.857031i | ||||
\(65\) | 18992.6 | + | 9146.37i | 0.557573 | + | 0.268513i | ||||
\(66\) | 1445.91 | + | 6334.93i | 0.0408583 | + | 0.179012i | ||||
\(67\) | −48864.5 | −1.32986 | −0.664930 | − | 0.746905i | \(-0.731539\pi\) | ||||
−0.664930 | + | 0.746905i | \(0.731539\pi\) | |||||||
\(68\) | −12886.3 | −0.337953 | ||||||||
\(69\) | 8480.78 | + | 37156.7i | 0.214444 | + | 0.939539i | ||||
\(70\) | −28420.5 | + | 15314.5i | −0.693245 | + | 0.373557i | ||||
\(71\) | 14863.5 | − | 65121.1i | 0.349924 | − | 1.53312i | −0.427426 | − | 0.904050i | \(-0.640580\pi\) |
0.777350 | − | 0.629068i | \(-0.216563\pi\) | |||||||
\(72\) | 13841.7 | − | 60644.2i | 0.314671 | − | 1.37866i | ||||
\(73\) | 33619.5 | − | 42157.5i | 0.738387 | − | 0.925908i | −0.260833 | − | 0.965384i | \(-0.583997\pi\) |
0.999221 | + | 0.0394755i | \(0.0125687\pi\) | |||||||
\(74\) | −44275.6 | + | 55519.8i | −0.939907 | + | 1.17861i | ||||
\(75\) | 2021.90 | − | 8858.50i | 0.0415055 | − | 0.181847i | ||||
\(76\) | −2822.75 | + | 12367.3i | −0.0560582 | + | 0.245607i | ||||
\(77\) | −7482.06 | + | 340.258i | −0.143812 | + | 0.00654006i | ||||
\(78\) | 10077.6 | + | 44153.0i | 0.187552 | + | 0.821720i | ||||
\(79\) | −51393.3 | −0.926485 | −0.463243 | − | 0.886232i | \(-0.653314\pi\) | ||||
−0.463243 | + | 0.886232i | \(0.653314\pi\) | |||||||
\(80\) | −33306.0 | −0.581832 | ||||||||
\(81\) | 8000.28 | + | 35051.5i | 0.135485 | + | 0.593600i | ||||
\(82\) | 11080.2 | + | 5335.92i | 0.181975 | + | 0.0876344i | ||||
\(83\) | −52764.2 | + | 66164.2i | −0.840706 | + | 1.05421i | 0.157072 | + | 0.987587i | \(0.449795\pi\) |
−0.997778 | + | 0.0666251i | \(0.978777\pi\) | |||||||
\(84\) | 26426.6 | + | 11277.6i | 0.408642 | + | 0.174389i | ||||
\(85\) | 44874.2 | + | 56270.5i | 0.673674 | + | 0.844760i | ||||
\(86\) | −16637.6 | − | 72894.2i | −0.242575 | − | 1.06279i | ||||
\(87\) | 81143.2 | + | 101750.i | 1.14935 | + | 1.44124i | ||||
\(88\) | −10243.9 | − | 4933.20i | −0.141013 | − | 0.0679082i | ||||
\(89\) | 45615.4 | − | 57199.9i | 0.610431 | − | 0.765456i | −0.376532 | − | 0.926404i | \(-0.622884\pi\) |
0.986963 | + | 0.160947i | \(0.0514549\pi\) | |||||||
\(90\) | −70915.1 | + | 34150.9i | −0.922852 | + | 0.444422i | ||||
\(91\) | −52148.3 | + | 2371.52i | −0.660140 | + | 0.0300209i | ||||
\(92\) | −13612.4 | − | 6555.37i | −0.167673 | − | 0.0807473i | ||||
\(93\) | 79824.0 | − | 38441.2i | 0.957031 | − | 0.460882i | ||||
\(94\) | −17025.0 | + | 74591.4i | −0.198732 | + | 0.870701i | ||||
\(95\) | 63833.8 | − | 30740.8i | 0.725675 | − | 0.349466i | ||||
\(96\) | 48228.6 | + | 60476.8i | 0.534105 | + | 0.669747i | ||||
\(97\) | −10722.3 | −0.115707 | −0.0578533 | − | 0.998325i | \(-0.518426\pi\) | ||||
−0.0578533 | + | 0.998325i | \(0.518426\pi\) | |||||||
\(98\) | 43967.0 | − | 66771.2i | 0.462446 | − | 0.702302i | ||||
\(99\) | −18260.4 | −0.187251 | ||||||||
\(100\) | 2245.83 | + | 2816.18i | 0.0224583 | + | 0.0281618i | ||||
\(101\) | 105112. | − | 50619.5i | 1.02530 | − | 0.493758i | 0.155850 | − | 0.987781i | \(-0.450188\pi\) |
0.869449 | + | 0.494023i | \(0.164474\pi\) | |||||||
\(102\) | −34407.3 | + | 150748.i | −0.327454 | + | 1.43467i | ||||
\(103\) | −170795. | + | 82250.4i | −1.58629 | + | 0.763915i | −0.998967 | − | 0.0454416i | \(-0.985531\pi\) |
−0.587318 | + | 0.809356i | \(0.699816\pi\) | |||||||
\(104\) | −71397.7 | − | 34383.3i | −0.647293 | − | 0.311720i | ||||
\(105\) | −42780.1 | − | 154669.i | −0.378676 | − | 1.36908i | ||||
\(106\) | 43399.5 | − | 20900.1i | 0.375163 | − | 0.180669i | ||||
\(107\) | −126461. | + | 158577.i | −1.06781 | + | 1.33900i | −0.130135 | + | 0.991496i | \(0.541541\pi\) |
−0.937680 | + | 0.347501i | \(0.887030\pi\) | |||||||
\(108\) | 14591.1 | + | 7026.71i | 0.120373 | + | 0.0579686i | ||||
\(109\) | 130390. | + | 163503.i | 1.05118 | + | 1.31814i | 0.946171 | + | 0.323666i | \(0.104915\pi\) |
0.105008 | + | 0.994471i | \(0.466513\pi\) | |||||||
\(110\) | 3201.39 | + | 14026.2i | 0.0252265 | + | 0.110524i | ||||
\(111\) | −220083. | − | 275976.i | −1.69543 | − | 2.12600i | ||||
\(112\) | 72607.2 | − | 39124.6i | 0.546934 | − | 0.294716i | ||||
\(113\) | −39122.6 | + | 49058.2i | −0.288225 | + | 0.361423i | −0.904773 | − | 0.425895i | \(-0.859959\pi\) |
0.616547 | + | 0.787318i | \(0.288531\pi\) | |||||||
\(114\) | 137140. | + | 66043.0i | 0.988329 | + | 0.475954i | ||||
\(115\) | 18777.3 | + | 82268.9i | 0.132400 | + | 0.580084i | ||||
\(116\) | −51591.9 | −0.355989 | ||||||||
\(117\) | −127271. | −0.859538 | ||||||||
\(118\) | 37380.7 | + | 163776.i | 0.247140 | + | 1.08279i | ||||
\(119\) | −163927. | − | 69956.2i | −1.06117 | − | 0.452855i | ||||
\(120\) | 54208.5 | − | 237503.i | 0.343648 | − | 1.50562i | ||||
\(121\) | 35094.5 | − | 153759.i | 0.217909 | − | 0.954723i | ||||
\(122\) | 19560.6 | − | 24528.3i | 0.118983 | − | 0.149199i | ||||
\(123\) | −38114.4 | + | 47793.9i | −0.227157 | + | 0.284846i | ||||
\(124\) | −7815.44 | + | 34241.7i | −0.0456456 | + | 0.199987i | ||||
\(125\) | 40881.0 | − | 179111.i | 0.234016 | − | 1.02529i | ||||
\(126\) | 114478. | − | 157753.i | 0.642386 | − | 0.885220i | ||||
\(127\) | 43210.7 | + | 189318.i | 0.237729 | + | 1.04156i | 0.943045 | + | 0.332665i | \(0.107948\pi\) |
−0.705316 | + | 0.708893i | \(0.749195\pi\) | |||||||
\(128\) | 66174.7 | 0.356999 | ||||||||
\(129\) | 371658. | 1.96639 | ||||||||
\(130\) | 22312.9 | + | 97759.3i | 0.115797 | + | 0.507341i | ||||
\(131\) | −237125. | − | 114193.i | −1.20725 | − | 0.581382i | −0.281518 | − | 0.959556i | \(-0.590838\pi\) |
−0.925735 | + | 0.378173i | \(0.876552\pi\) | |||||||
\(132\) | 7983.27 | − | 10010.7i | 0.0398792 | − | 0.0500069i | ||||
\(133\) | −103047. | + | 142001.i | −0.505133 | + | 0.696083i | ||||
\(134\) | −144922. | − | 181726.i | −0.697222 | − | 0.874289i | ||||
\(135\) | −20127.4 | − | 88184.1i | −0.0950505 | − | 0.416443i | ||||
\(136\) | −168693. | − | 211534.i | −0.782075 | − | 0.980692i | ||||
\(137\) | 139736. | + | 67293.3i | 0.636073 | + | 0.306317i | 0.723989 | − | 0.689811i | \(-0.242307\pi\) |
−0.0879163 | + | 0.996128i | \(0.528021\pi\) | |||||||
\(138\) | −113033. | + | 141739.i | −0.505251 | + | 0.633565i | ||||
\(139\) | 253970. | − | 122306.i | 1.11492 | − | 0.536920i | 0.216604 | − | 0.976260i | \(-0.430502\pi\) |
0.898321 | + | 0.439340i | \(0.144788\pi\) | |||||||
\(140\) | 58511.3 | + | 24969.8i | 0.252301 | + | 0.107670i | ||||
\(141\) | −342649. | − | 165011.i | −1.45145 | − | 0.698981i | ||||
\(142\) | 286266. | − | 137858.i | 1.19138 | − | 0.573736i | ||||
\(143\) | −5176.53 | + | 22679.9i | −0.0211689 | + | 0.0927472i | ||||
\(144\) | 181170. | − | 87246.9i | 0.728082 | − | 0.350626i | ||||
\(145\) | 179659. | + | 225286.i | 0.709627 | + | 0.889844i | ||||
\(146\) | 256491. | 0.995842 | ||||||||
\(147\) | 274951. | + | 286926.i | 1.04945 | + | 1.09516i | ||||
\(148\) | 139932. | 0.525125 | ||||||||
\(149\) | 103263. | + | 129487.i | 0.381047 | + | 0.477817i | 0.934958 | − | 0.354758i | \(-0.115437\pi\) |
−0.553912 | + | 0.832576i | \(0.686865\pi\) | |||||||
\(150\) | 38941.1 | − | 18753.0i | 0.141312 | − | 0.0680524i | ||||
\(151\) | 15526.0 | − | 68023.6i | 0.0554135 | − | 0.242783i | −0.939634 | − | 0.342181i | \(-0.888835\pi\) |
0.995048 | + | 0.0993980i | \(0.0316917\pi\) | |||||||
\(152\) | −239966. | + | 115562.i | −0.842444 | + | 0.405699i | ||||
\(153\) | −391500. | − | 188536.i | −1.35208 | − | 0.651129i | ||||
\(154\) | −23455.6 | − | 26816.5i | −0.0796975 | − | 0.0911172i | ||||
\(155\) | 176739. | − | 85112.8i | 0.590884 | − | 0.284555i | ||||
\(156\) | 55641.6 | − | 69772.4i | 0.183058 | − | 0.229547i | ||||
\(157\) | −284938. | − | 137219.i | −0.922576 | − | 0.444289i | −0.0885856 | − | 0.996069i | \(-0.528235\pi\) |
−0.833990 | + | 0.551780i | \(0.813949\pi\) | |||||||
\(158\) | −152421. | − | 191130.i | −0.485739 | − | 0.609098i | ||||
\(159\) | 53280.7 | + | 233438.i | 0.167139 | + | 0.732282i | ||||
\(160\) | 106783. | + | 133902.i | 0.329764 | + | 0.413511i | ||||
\(161\) | −137576. | − | 157289.i | −0.418290 | − | 0.478226i | ||||
\(162\) | −106629. | + | 133708.i | −0.319217 | + | 0.400286i | ||||
\(163\) | 225509. | + | 108599.i | 0.664806 | + | 0.320154i | 0.735678 | − | 0.677332i | \(-0.236864\pi\) |
−0.0708717 | + | 0.997485i | \(0.522578\pi\) | |||||||
\(164\) | −5392.49 | − | 23626.0i | −0.0156560 | − | 0.0685932i | ||||
\(165\) | −71513.9 | −0.204494 | ||||||||
\(166\) | −402551. | −1.13384 | ||||||||
\(167\) | −114262. | − | 500617.i | −0.317039 | − | 1.38904i | −0.842718 | − | 0.538355i | \(-0.819046\pi\) |
0.525679 | − | 0.850683i | \(-0.323811\pi\) | |||||||
\(168\) | 160820. | + | 581436.i | 0.439609 | + | 1.58938i | ||||
\(169\) | 46541.2 | − | 203910.i | 0.125349 | − | 0.549190i | ||||
\(170\) | −76181.4 | + | 333773.i | −0.202175 | + | 0.885785i | ||||
\(171\) | −266701. | + | 334433.i | −0.697485 | + | 0.874618i | ||||
\(172\) | −91861.2 | + | 115190.i | −0.236762 | + | 0.296890i | ||||
\(173\) | 25638.1 | − | 112328.i | 0.0651283 | − | 0.285346i | −0.931868 | − | 0.362798i | \(-0.881821\pi\) |
0.996996 | + | 0.0774524i | \(0.0246786\pi\) | |||||||
\(174\) | −137754. | + | 603539.i | −0.344930 | + | 1.51124i | ||||
\(175\) | 13281.0 | + | 48016.6i | 0.0327819 | + | 0.118521i | ||||
\(176\) | −8178.73 | − | 35833.4i | −0.0199024 | − | 0.0871979i | ||||
\(177\) | −835026. | −2.00340 | ||||||||
\(178\) | 348011. | 0.823271 | ||||||||
\(179\) | 4749.12 | + | 20807.3i | 0.0110785 | + | 0.0485380i | 0.980165 | − | 0.198183i | \(-0.0635040\pi\) |
−0.969087 | + | 0.246721i | \(0.920647\pi\) | |||||||
\(180\) | 139740. | + | 67295.3i | 0.321469 | + | 0.154811i | ||||
\(181\) | −28850.0 | + | 36176.7i | −0.0654560 | + | 0.0820792i | −0.813482 | − | 0.581591i | \(-0.802431\pi\) |
0.748026 | + | 0.663670i | \(0.231002\pi\) | |||||||
\(182\) | −163480. | − | 186905.i | −0.365836 | − | 0.418256i | ||||
\(183\) | 97231.3 | + | 121924.i | 0.214624 | + | 0.269130i | ||||
\(184\) | −70588.3 | − | 309268.i | −0.153705 | − | 0.673426i | ||||
\(185\) | −487288. | − | 611039.i | −1.04678 | − | 1.31262i | ||||
\(186\) | 379703. | + | 182855.i | 0.804751 | + | 0.387548i | ||||
\(187\) | −49521.1 | + | 62097.4i | −0.103559 | + | 0.129858i | ||||
\(188\) | 135834. | − | 65414.2i | 0.280294 | − | 0.134982i | ||||
\(189\) | 147468. | + | 168598.i | 0.300291 | + | 0.343319i | ||||
\(190\) | 303642. | + | 146226.i | 0.610207 | + | 0.293860i | ||||
\(191\) | 342692. | − | 165032.i | 0.679706 | − | 0.327329i | −0.0619791 | − | 0.998077i | \(-0.519741\pi\) |
0.741685 | + | 0.670748i | \(0.234027\pi\) | |||||||
\(192\) | −188990. | + | 828018.i | −0.369986 | + | 1.62101i | ||||
\(193\) | 460840. | − | 221929.i | 0.890547 | − | 0.428865i | 0.0680817 | − | 0.997680i | \(-0.478312\pi\) |
0.822466 | + | 0.568815i | \(0.192598\pi\) | |||||||
\(194\) | −31800.0 | − | 39876.0i | −0.0606629 | − | 0.0760688i | ||||
\(195\) | −498436. | −0.938691 | ||||||||
\(196\) | −156887. | + | 14298.9i | −0.291707 | + | 0.0265866i | ||||
\(197\) | 112791. | 0.207065 | 0.103533 | − | 0.994626i | \(-0.466985\pi\) | ||||
0.103533 | + | 0.994626i | \(0.466985\pi\) | |||||||
\(198\) | −54156.5 | − | 67910.2i | −0.0981721 | − | 0.123104i | ||||
\(199\) | 582046. | − | 280299.i | 1.04190 | − | 0.501751i | 0.166948 | − | 0.985966i | \(-0.446609\pi\) |
0.874949 | + | 0.484215i | \(0.160895\pi\) | |||||||
\(200\) | −16828.9 | + | 73732.2i | −0.0297496 | + | 0.130341i | ||||
\(201\) | 1.04097e6 | − | 501303.i | 1.81738 | − | 0.875206i | ||||
\(202\) | 499994. | + | 240784.i | 0.862156 | + | 0.415193i | ||||
\(203\) | −656302. | − | 280078.i | −1.11780 | − | 0.477023i | ||||
\(204\) | 274519. | − | 132201.i | 0.461846 | − | 0.222413i | ||||
\(205\) | −84389.2 | + | 105821.i | −0.140250 | + | 0.175868i | ||||
\(206\) | −812428. | − | 391245.i | −1.33388 | − | 0.642363i | ||||
\(207\) | −317648. | − | 398318.i | −0.515253 | − | 0.646107i | ||||
\(208\) | −57003.9 | − | 249750.i | −0.0913579 | − | 0.400265i | ||||
\(209\) | 48748.7 | + | 61129.0i | 0.0771965 | + | 0.0968014i | ||||
\(210\) | 448334. | − | 617813.i | 0.701542 | − | 0.966739i | ||||
\(211\) | −244778. | + | 306942.i | −0.378500 | + | 0.474625i | −0.934195 | − | 0.356762i | \(-0.883881\pi\) |
0.555695 | + | 0.831386i | \(0.312452\pi\) | |||||||
\(212\) | −85520.0 | − | 41184.3i | −0.130686 | − | 0.0629349i | ||||
\(213\) | 351442. | + | 1.53977e6i | 0.530768 | + | 2.32545i | ||||
\(214\) | −964798. | −1.44013 | ||||||||
\(215\) | 822890. | 1.21408 | ||||||||
\(216\) | 75663.7 | + | 331504.i | 0.110345 | + | 0.483454i | ||||
\(217\) | −285309. | + | 393161.i | −0.411307 | + | 0.566789i | ||||
\(218\) | −221358. | + | 969833.i | −0.315467 | + | 1.38215i | ||||
\(219\) | −283705. | + | 1.24299e6i | −0.399721 | + | 1.75129i | ||||
\(220\) | 17675.8 | − | 22164.7i | 0.0246219 | − | 0.0308749i | ||||
\(221\) | −345150. | + | 432805.i | −0.475366 | + | 0.596090i | ||||
\(222\) | 373628. | − | 1.63697e6i | 0.508812 | − | 2.22925i | ||||
\(223\) | −111473. | + | 488397.i | −0.150110 | + | 0.657674i | 0.842742 | + | 0.538318i | \(0.180940\pi\) |
−0.992852 | + | 0.119356i | \(0.961917\pi\) | |||||||
\(224\) | −390082. | − | 166468.i | −0.519441 | − | 0.221673i | ||||
\(225\) | 27027.8 | + | 118417.i | 0.0355922 | + | 0.155940i | ||||
\(226\) | −298476. | −0.388721 | ||||||||
\(227\) | 1.28641e6 | 1.65697 | 0.828487 | − | 0.560008i | \(-0.189202\pi\) | ||||
0.828487 | + | 0.560008i | \(0.189202\pi\) | |||||||
\(228\) | −66743.2 | − | 292421.i | −0.0850295 | − | 0.372539i | ||||
\(229\) | 714265. | + | 343972.i | 0.900058 | + | 0.433445i | 0.825910 | − | 0.563802i | \(-0.190662\pi\) |
0.0741484 | + | 0.997247i | \(0.476376\pi\) | |||||||
\(230\) | −250267. | + | 313824.i | −0.311949 | + | 0.391171i | ||||
\(231\) | 155901. | − | 84007.4i | 0.192229 | − | 0.103583i | ||||
\(232\) | −675381. | − | 846901.i | −0.823813 | − | 1.03303i | ||||
\(233\) | −224278. | − | 982625.i | −0.270643 | − | 1.18576i | −0.909257 | − | 0.416236i | \(-0.863349\pi\) |
0.638614 | − | 0.769527i | \(-0.279508\pi\) | |||||||
\(234\) | −377459. | − | 473318.i | −0.450640 | − | 0.565085i | ||||
\(235\) | −758660. | − | 365352.i | −0.896144 | − | 0.431560i | ||||
\(236\) | 206390. | − | 258805.i | 0.241217 | − | 0.302477i | ||||
\(237\) | 1.09484e6 | − | 527246.i | 1.26613 | − | 0.609737i | ||||
\(238\) | −226007. | − | 817116.i | −0.258630 | − | 0.935064i | ||||
\(239\) | 365223. | + | 175882.i | 0.413583 | + | 0.199171i | 0.629092 | − | 0.777331i | \(-0.283427\pi\) |
−0.215509 | + | 0.976502i | \(0.569141\pi\) | |||||||
\(240\) | 709522. | − | 341688.i | 0.795130 | − | 0.382914i | ||||
\(241\) | 155347. | − | 680619.i | 0.172290 | − | 0.754851i | −0.812762 | − | 0.582595i | \(-0.802037\pi\) |
0.985052 | − | 0.172256i | \(-0.0551056\pi\) | |||||||
\(242\) | 675910. | − | 325501.i | 0.741908 | − | 0.357284i | ||||
\(243\) | −791797. | − | 992883.i | −0.860198 | − | 1.07865i | ||||
\(244\) | −61821.0 | −0.0664755 | ||||||||
\(245\) | 608769. | + | 635283.i | 0.647944 | + | 0.676164i | ||||
\(246\) | −290784. | −0.306360 | ||||||||
\(247\) | 339768. | + | 426055.i | 0.354356 | + | 0.444348i | ||||
\(248\) | −664401. | + | 319959.i | −0.685963 | + | 0.330343i | ||||
\(249\) | 445261. | − | 1.95082e6i | 0.455110 | − | 1.99397i | ||||
\(250\) | 787356. | − | 379170.i | 0.796748 | − | 0.383694i | ||||
\(251\) | 709295. | + | 341578.i | 0.710628 | + | 0.342221i | 0.754033 | − | 0.656837i | \(-0.228106\pi\) |
−0.0434043 | + | 0.999058i | \(0.513820\pi\) | |||||||
\(252\) | −383686. | + | 17448.7i | −0.380605 | + | 0.0173086i | ||||
\(253\) | −83900.7 | + | 40404.5i | −0.0824070 | + | 0.0396851i | ||||
\(254\) | −575917. | + | 722177.i | −0.560113 | + | 0.702360i | ||||
\(255\) | −1.53324e6 | − | 738372.i | −1.47659 | − | 0.711090i | ||||
\(256\) | −520399. | − | 652560.i | −0.496292 | − | 0.622330i | ||||
\(257\) | 128581. | + | 563351.i | 0.121435 | + | 0.532043i | 0.998650 | + | 0.0519444i | \(0.0165419\pi\) |
−0.877215 | + | 0.480098i | \(0.840601\pi\) | |||||||
\(258\) | 1.10226e6 | + | 1.38219e6i | 1.03094 | + | 1.29276i | ||||
\(259\) | 1.78008e6 | + | 759652.i | 1.64888 | + | 0.703664i | ||||
\(260\) | 123196. | − | 154483.i | 0.113022 | − | 0.141725i | ||||
\(261\) | −1.56742e6 | − | 754828.i | −1.42424 | − | 0.685878i | ||||
\(262\) | −278579. | − | 1.22053e6i | −0.250723 | − | 1.09849i | ||||
\(263\) | −651073. | −0.580417 | −0.290209 | − | 0.956963i | \(-0.593725\pi\) | ||||
−0.290209 | + | 0.956963i | \(0.593725\pi\) | |||||||
\(264\) | 268837. | 0.237399 | ||||||||
\(265\) | 117969. | + | 516856.i | 0.103194 | + | 0.452121i | ||||
\(266\) | −833712. | + | 37914.3i | −0.722457 | + | 0.0328548i | ||||
\(267\) | −384935. | + | 1.68651e6i | −0.330452 | + | 1.44781i | ||||
\(268\) | −101919. | + | 446538.i | −0.0866802 | + | 0.379771i | ||||
\(269\) | 161031. | − | 201927.i | 0.135684 | − | 0.170143i | −0.709347 | − | 0.704859i | \(-0.751010\pi\) |
0.845032 | + | 0.534716i | \(0.179582\pi\) | |||||||
\(270\) | 268261. | − | 336389.i | 0.223949 | − | 0.280823i | ||||
\(271\) | −310733. | + | 1.36141e6i | −0.257018 | + | 1.12607i | 0.667402 | + | 0.744697i | \(0.267406\pi\) |
−0.924421 | + | 0.381374i | \(0.875451\pi\) | |||||||
\(272\) | 194624. | − | 852705.i | 0.159505 | − | 0.698838i | ||||
\(273\) | 1.08659e6 | − | 585513.i | 0.882389 | − | 0.475477i | ||||
\(274\) | 164165. | + | 719253.i | 0.132100 | + | 0.578769i | ||||
\(275\) | 22201.3 | 0.0177030 | ||||||||
\(276\) | 357238. | 0.282283 | ||||||||
\(277\) | 133192. | + | 583552.i | 0.104299 | + | 0.456962i | 0.999926 | + | 0.0121571i | \(0.00386982\pi\) |
−0.895628 | + | 0.444805i | \(0.853273\pi\) | |||||||
\(278\) | 1.20807e6 | + | 581777.i | 0.937521 | + | 0.451486i | ||||
\(279\) | −738423. | + | 925953.i | −0.567930 | + | 0.712162i | ||||
\(280\) | 356072. | + | 1.28736e6i | 0.271421 | + | 0.981308i | ||||
\(281\) | 1.06979e6 | + | 1.34148e6i | 0.808228 | + | 1.01349i | 0.999490 | + | 0.0319473i | \(0.0101709\pi\) |
−0.191261 | + | 0.981539i | \(0.561258\pi\) | |||||||
\(282\) | −402551. | − | 1.76369e6i | −0.301438 | − | 1.32069i | ||||
\(283\) | −1.14459e6 | − | 1.43527e6i | −0.849539 | − | 1.06529i | −0.997090 | − | 0.0762342i | \(-0.975710\pi\) |
0.147551 | − | 0.989055i | \(-0.452861\pi\) | |||||||
\(284\) | −564094. | − | 271654.i | −0.415007 | − | 0.199857i | ||||
\(285\) | −1.04449e6 | + | 1.30975e6i | −0.761715 | + | 0.955160i | ||||
\(286\) | −99698.5 | + | 48012.3i | −0.0720731 | + | 0.0347086i | ||||
\(287\) | 59661.2 | − | 329822.i | 0.0427551 | − | 0.236360i | ||||
\(288\) | −931617. | − | 448643.i | −0.661845 | − | 0.318728i | ||||
\(289\) | −423622. | + | 204006.i | −0.298356 | + | 0.143680i | ||||
\(290\) | −305001. | + | 1.33630e6i | −0.212964 | + | 0.933058i | ||||
\(291\) | 228418. | − | 110001.i | 0.158124 | − | 0.0761487i | ||||
\(292\) | −315126. | − | 395156.i | −0.216285 | − | 0.271213i | ||||
\(293\) | 592296. | 0.403060 | 0.201530 | − | 0.979482i | \(-0.435409\pi\) | ||||
0.201530 | + | 0.979482i | \(0.435409\pi\) | |||||||
\(294\) | −251625. | + | 1.87349e6i | −0.169780 | + | 1.26411i | ||||
\(295\) | −1.84884e6 | −1.23692 | ||||||||
\(296\) | 1.83183e6 | + | 2.29704e6i | 1.21522 | + | 1.52384i | ||||
\(297\) | 89933.3 | − | 43309.6i | 0.0591602 | − | 0.0284900i | ||||
\(298\) | −175306. | + | 768064.i | −0.114355 | + | 0.501022i | ||||
\(299\) | −584769. | + | 281610.i | −0.378274 | + | 0.182167i | ||||
\(300\) | −76734.5 | − | 36953.4i | −0.0492252 | − | 0.0237056i | ||||
\(301\) | −1.79390e6 | + | 966649.i | −1.14126 | + | 0.614968i | ||||
\(302\) | 299025. | − | 144003.i | 0.188665 | − | 0.0908561i | ||||
\(303\) | −1.71992e6 | + | 2.15671e6i | −1.07622 | + | 1.34954i | ||||
\(304\) | −775728. | − | 373571.i | −0.481421 | − | 0.231840i | ||||
\(305\) | 215280. | + | 269953.i | 0.132512 | + | 0.166165i | ||||
\(306\) | −459942. | − | 2.01514e6i | −0.280802 | − | 1.23027i | ||||
\(307\) | −442293. | − | 554618.i | −0.267833 | − | 0.335852i | 0.629668 | − | 0.776864i | \(-0.283191\pi\) |
−0.897501 | + | 0.441012i | \(0.854620\pi\) | |||||||
\(308\) | −12496.4 | + | 69083.0i | −0.00750598 | + | 0.0414949i | ||||
\(309\) | 2.79465e6 | − | 3.50438e6i | 1.66507 | − | 2.08793i | ||||
\(310\) | 840701. | + | 404860.i | 0.496864 | + | 0.239277i | ||||
\(311\) | 241623. | + | 1.05862e6i | 0.141657 | + | 0.620639i | 0.995050 | + | 0.0993718i | \(0.0316833\pi\) |
−0.853394 | + | 0.521267i | \(0.825460\pi\) | |||||||
\(312\) | 1.87373e6 | 1.08974 | ||||||||
\(313\) | 531682. | 0.306755 | 0.153377 | − | 0.988168i | \(-0.450985\pi\) | ||||
0.153377 | + | 0.988168i | \(0.450985\pi\) | |||||||
\(314\) | −334752. | − | 1.46664e6i | −0.191601 | − | 0.839460i | ||||
\(315\) | 1.41231e6 | + | 1.61467e6i | 0.801961 | + | 0.916871i | ||||
\(316\) | −107194. | + | 469647.i | −0.0603882 | + | 0.264578i | ||||
\(317\) | 41482.5 | − | 181747.i | 0.0231855 | − | 0.101582i | −0.962011 | − | 0.273010i | \(-0.911981\pi\) |
0.985197 | + | 0.171428i | \(0.0548379\pi\) | |||||||
\(318\) | −710131. | + | 890477.i | −0.393796 | + | 0.493804i | ||||
\(319\) | −198264. | + | 248615.i | −0.109085 | + | 0.136789i | ||||
\(320\) | −418443. | + | 1.83332e6i | −0.228434 | + | 1.00084i | ||||
\(321\) | 1.06716e6 | − | 4.67555e6i | 0.578054 | − | 2.53262i | ||||
\(322\) | 176933. | − | 978127.i | 0.0950974 | − | 0.525721i | ||||
\(323\) | 414015. | + | 1.81392e6i | 0.220805 | + | 0.967411i | ||||
\(324\) | 336998. | 0.178346 | ||||||||
\(325\) | 154738. | 0.0812623 | ||||||||
\(326\) | 264933. | + | 1.16075e6i | 0.138068 | + | 0.604913i | ||||
\(327\) | −4.45510e6 | − | 2.14546e6i | −2.30403 | − | 1.10956i | ||||
\(328\) | 317238. | − | 397804.i | 0.162817 | − | 0.204167i | ||||
\(329\) | 2.08306e6 | − | 94730.4i | 1.06099 | − | 0.0482502i | ||||
\(330\) | −212095. | − | 265959.i | −0.107213 | − | 0.134440i | ||||
\(331\) | −749294. | − | 3.28287e6i | −0.375909 | − | 1.64696i | −0.709838 | − | 0.704365i | \(-0.751232\pi\) |
0.333929 | − | 0.942598i | \(-0.391625\pi\) | |||||||
\(332\) | 494575. | + | 620178.i | 0.246256 | + | 0.308796i | ||||
\(333\) | 4.25129e6 | + | 2.04731e6i | 2.10092 | + | 1.01175i | ||||
\(334\) | 1.52290e6 | − | 1.90966e6i | 0.746976 | − | 0.936678i | ||||
\(335\) | 2.30481e6 | − | 1.10994e6i | 1.12208 | − | 0.540364i | ||||
\(336\) | −1.14538e6 | + | 1.57836e6i | −0.553480 | + | 0.762706i | ||||
\(337\) | −2.99637e6 | − | 1.44297e6i | −1.43721 | − | 0.692123i | −0.456886 | − | 0.889525i | \(-0.651035\pi\) |
−0.980323 | + | 0.197402i | \(0.936750\pi\) | |||||||
\(338\) | 896369. | − | 431669.i | 0.426771 | − | 0.205522i | ||||
\(339\) | 330144. | − | 1.44646e6i | 0.156029 | − | 0.683606i | ||||
\(340\) | 607814. | − | 292708.i | 0.285150 | − | 0.137321i | ||||
\(341\) | 134972. | + | 169250.i | 0.0628576 | + | 0.0788209i | ||||
\(342\) | −2.03473e6 | −0.940678 | ||||||||
\(343\) | −2.07339e6 | − | 669799.i | −0.951579 | − | 0.307404i | ||||
\(344\) | −3.09343e6 | −1.40943 | ||||||||
\(345\) | −1.24402e6 | − | 1.55995e6i | −0.562702 | − | 0.705606i | ||||
\(346\) | 493781. | − | 237792.i | 0.221740 | − | 0.106784i | ||||
\(347\) | 594962. | − | 2.60670e6i | 0.265256 | − | 1.16216i | −0.650206 | − | 0.759758i | \(-0.725317\pi\) |
0.915462 | − | 0.402405i | \(-0.131825\pi\) | |||||||
\(348\) | 1.09907e6 | − | 529284.i | 0.486494 | − | 0.234283i | ||||
\(349\) | −559069. | − | 269233.i | −0.245698 | − | 0.118322i | 0.306982 | − | 0.951715i | \(-0.400681\pi\) |
−0.552680 | + | 0.833393i | \(0.686395\pi\) | |||||||
\(350\) | −139184. | + | 191799.i | −0.0607323 | + | 0.0836904i | ||||
\(351\) | 626815. | − | 301858.i | 0.271563 | − | 0.130778i | ||||
\(352\) | −117841. | + | 147768.i | −0.0506920 | + | 0.0635657i | ||||
\(353\) | −826707. | − | 398121.i | −0.353114 | − | 0.170051i | 0.248914 | − | 0.968526i | \(-0.419926\pi\) |
−0.602028 | + | 0.798475i | \(0.705641\pi\) | |||||||
\(354\) | −2.47651e6 | − | 3.10545e6i | −1.05034 | − | 1.31709i | ||||
\(355\) | 778129. | + | 3.40921e6i | 0.327703 | + | 1.43576i | ||||
\(356\) | −427567. | − | 536153.i | −0.178805 | − | 0.224214i | ||||
\(357\) | 4.20985e6 | − | 191449.i | 1.74822 | − | 0.0795029i | ||||
\(358\) | −63296.8 | + | 79371.7i | −0.0261020 | + | 0.0327309i | ||||
\(359\) | 706106. | + | 340043.i | 0.289157 | + | 0.139251i | 0.572839 | − | 0.819668i | \(-0.305842\pi\) |
−0.283682 | + | 0.958918i | \(0.591556\pi\) | |||||||
\(360\) | 724636. | + | 3.17484e6i | 0.294689 | + | 1.29112i | ||||
\(361\) | −644550. | −0.260309 | ||||||||
\(362\) | −220103. | −0.0882786 | ||||||||
\(363\) | 829799. | + | 3.63559e6i | 0.330527 | + | 1.44813i | ||||
\(364\) | −87097.0 | + | 481493.i | −0.0344548 | + | 0.190474i | ||||
\(365\) | −628152. | + | 2.75211e6i | −0.246793 | + | 1.08127i | ||||
\(366\) | −165066. | + | 723203.i | −0.0644103 | + | 0.282200i | ||||
\(367\) | 2.10949e6 | − | 2.64522e6i | 0.817548 | − | 1.02517i | −0.181578 | − | 0.983376i | \(-0.558121\pi\) |
0.999126 | − | 0.0417961i | \(-0.0133080\pi\) | |||||||
\(368\) | 639368. | − | 801742.i | 0.246111 | − | 0.308614i | ||||
\(369\) | 181837. | − | 796681.i | 0.0695211 | − | 0.304592i | ||||
\(370\) | 827251. | − | 3.62442e6i | 0.314147 | − | 1.37637i | ||||
\(371\) | −864323. | − | 988170.i | −0.326018 | − | 0.372732i | ||||
\(372\) | −184794. | − | 809634.i | −0.0692357 | − | 0.303341i | ||||
\(373\) | 608993. | 0.226642 | 0.113321 | − | 0.993558i | \(-0.463851\pi\) | ||||
0.113321 | + | 0.993558i | \(0.463851\pi\) | |||||||
\(374\) | −377808. | −0.139666 | ||||||||
\(375\) | 966619. | + | 4.23504e6i | 0.354958 | + | 1.55517i | ||||
\(376\) | 2.85198e6 | + | 1.37344e6i | 1.04034 | + | 0.501003i | ||||
\(377\) | −1.38185e6 | + | 1.73279e6i | −0.500735 | + | 0.627902i | ||||
\(378\) | −189654. | + | 1.04846e6i | −0.0682706 | + | 0.377416i | ||||
\(379\) | −446650. | − | 560082.i | −0.159724 | − | 0.200287i | 0.695529 | − | 0.718498i | \(-0.255170\pi\) |
−0.855253 | + | 0.518210i | \(0.826598\pi\) | |||||||
\(380\) | −147776. | − | 647451.i | −0.0524984 | − | 0.230010i | ||||
\(381\) | −2.86275e6 | − | 3.58978e6i | −1.01035 | − | 1.26694i | ||||
\(382\) | 1.63010e6 | + | 785016.i | 0.571553 | + | 0.275245i | ||||
\(383\) | −2.84865e6 | + | 3.57210e6i | −0.992298 | + | 1.24430i | −0.0226642 | + | 0.999743i | \(0.507215\pi\) |
−0.969634 | + | 0.244560i | \(0.921357\pi\) | |||||||
\(384\) | −1.40973e6 | + | 678890.i | −0.487874 | + | 0.234948i | ||||
\(385\) | 345180. | − | 186001.i | 0.118685 | − | 0.0639534i | ||||
\(386\) | 2.19210e6 | + | 1.05566e6i | 0.748846 | + | 0.360625i | ||||
\(387\) | −4.47616e6 | + | 2.15561e6i | −1.51925 | + | 0.731631i | ||||
\(388\) | −22364.1 | + | 97983.5i | −0.00754175 | + | 0.0330426i | ||||
\(389\) | −3.39420e6 | + | 1.63456e6i | −1.13727 | + | 0.547680i | −0.905186 | − | 0.425016i | \(-0.860269\pi\) |
−0.232083 | + | 0.972696i | \(0.574554\pi\) | |||||||
\(390\) | −1.47825e6 | − | 1.85367e6i | −0.492139 | − | 0.617122i | ||||
\(391\) | −2.21598e6 | −0.733035 | ||||||||
\(392\) | −2.28850e6 | − | 2.38817e6i | −0.752205 | − | 0.784966i | ||||
\(393\) | 6.22301e6 | 2.03245 | ||||||||
\(394\) | 334513. | + | 419466.i | 0.108561 | + | 0.136131i | ||||
\(395\) | 2.42408e6 | − | 1.16738e6i | 0.781727 | − | 0.376460i | ||||
\(396\) | −38086.8 | + | 166869.i | −0.0122050 | + | 0.0534735i | ||||
\(397\) | 523640. | − | 252172.i | 0.166746 | − | 0.0803008i | −0.348649 | − | 0.937253i | \(-0.613359\pi\) |
0.515395 | + | 0.856953i | \(0.327645\pi\) | |||||||
\(398\) | 2.76865e6 | + | 1.33331e6i | 0.876113 | + | 0.421914i | ||||
\(399\) | 738431. | − | 4.08222e6i | 0.232208 | − | 1.28370i | ||||
\(400\) | −220269. | + | 106076.i | −0.0688342 | + | 0.0331488i | ||||
\(401\) | 1.58664e6 | − | 1.98958e6i | 0.492740 | − | 0.617876i | −0.471835 | − | 0.881687i | \(-0.656408\pi\) |
0.964574 | + | 0.263811i | \(0.0849795\pi\) | |||||||
\(402\) | 4.95162e6 | + | 2.38457e6i | 1.52821 | + | 0.735946i | ||||
\(403\) | 940724. | + | 1.17963e6i | 0.288536 | + | 0.361812i | ||||
\(404\) | −243337. | − | 1.06613e6i | −0.0741745 | − | 0.324980i | ||||
\(405\) | −1.17353e6 | − | 1.47156e6i | −0.355515 | − | 0.445802i | ||||
\(406\) | −904846. | − | 3.27142e6i | −0.272433 | − | 0.984967i | ||||
\(407\) | 537747. | − | 674314.i | 0.160913 | − | 0.201779i | ||||
\(408\) | 5.76382e6 | + | 2.77571e6i | 1.71419 | + | 0.825512i | ||||
\(409\) | −183660. | − | 804665.i | −0.0542882 | − | 0.237852i | 0.940503 | − | 0.339785i | \(-0.110354\pi\) |
−0.994791 | + | 0.101933i | \(0.967497\pi\) | |||||||
\(410\) | −643825. | −0.189151 | ||||||||
\(411\) | −3.66718e6 | −1.07085 | ||||||||
\(412\) | 395392. | + | 1.73233e6i | 0.114759 | + | 0.502790i | ||||
\(413\) | 4.03047e6 | − | 2.17183e6i | 1.16273 | − | 0.626542i | ||||
\(414\) | 539261. | − | 2.36266e6i | 0.154631 | − | 0.677485i | ||||
\(415\) | 985855. | − | 4.31931e6i | 0.280991 | − | 1.23110i | ||||
\(416\) | −821324. | + | 1.02991e6i | −0.232692 | + | 0.291786i | ||||
\(417\) | −4.15562e6 | + | 5.21099e6i | −1.17030 | + | 1.46751i | ||||
\(418\) | −82759.0 | + | 362591.i | −0.0231673 | + | 0.101502i | ||||
\(419\) | −727475. | + | 3.18728e6i | −0.202434 | + | 0.886921i | 0.767015 | + | 0.641629i | \(0.221741\pi\) |
−0.969449 | + | 0.245292i | \(0.921116\pi\) | |||||||
\(420\) | −1.50264e6 | + | 68334.9i | −0.415654 | + | 0.0189025i | ||||
\(421\) | 1.06569e6 | + | 4.66909e6i | 0.293039 | + | 1.28389i | 0.880272 | + | 0.474470i | \(0.157360\pi\) |
−0.587233 | + | 0.809418i | \(0.699783\pi\) | |||||||
\(422\) | −1.86747e6 | −0.510473 | ||||||||
\(423\) | 5.08384e6 | 1.38147 | ||||||||
\(424\) | −443472. | − | 1.94298e6i | −0.119799 | − | 0.524872i | ||||
\(425\) | 475992. | + | 229226.i | 0.127828 | + | 0.0615589i | ||||
\(426\) | −4.68406e6 | + | 5.87363e6i | −1.25054 | + | 1.56813i | ||||
\(427\) | −786426. | − | 335609.i | −0.208732 | − | 0.0890766i | ||||
\(428\) | 1.18535e6 | + | 1.48639e6i | 0.312780 | + | 0.392213i | ||||
\(429\) | −122398. | − | 536259.i | −0.0321092 | − | 0.140680i | ||||
\(430\) | 2.44052e6 | + | 3.06031e6i | 0.636518 | + | 0.798168i | ||||
\(431\) | −4.88006e6 | − | 2.35011e6i | −1.26541 | − | 0.609391i | −0.323812 | − | 0.946122i | \(-0.604964\pi\) |
−0.941601 | + | 0.336731i | \(0.890679\pi\) | |||||||
\(432\) | −685339. | + | 859388.i | −0.176684 | + | 0.221554i | ||||
\(433\) | −2.83828e6 | + | 1.36684e6i | −0.727504 | + | 0.350347i | −0.760702 | − | 0.649101i | \(-0.775145\pi\) |
0.0331979 | + | 0.999449i | \(0.489431\pi\) | |||||||
\(434\) | −2.30832e6 | + | 104974.i | −0.588264 | + | 0.0267522i | ||||
\(435\) | −6.13853e6 | − | 2.95616e6i | −1.55540 | − | 0.749039i | ||||
\(436\) | 1.76610e6 | − | 850511.i | 0.444939 | − | 0.214271i | ||||
\(437\) | −485413. | + | 2.12673e6i | −0.121593 | + | 0.532732i | ||||
\(438\) | −5.46407e6 | + | 2.63136e6i | −1.36091 | + | 0.655382i | ||||
\(439\) | 802834. | + | 1.00672e6i | 0.198822 | + | 0.249315i | 0.871241 | − | 0.490856i | \(-0.163316\pi\) |
−0.672419 | + | 0.740171i | \(0.734745\pi\) | |||||||
\(440\) | 595234. | 0.146574 | ||||||||
\(441\) | −4.97560e6 | − | 1.86096e6i | −1.21828 | − | 0.455659i | ||||
\(442\) | −2.63324e6 | −0.641112 | ||||||||
\(443\) | −285572. | − | 358097.i | −0.0691364 | − | 0.0866944i | 0.746061 | − | 0.665878i | \(-0.231943\pi\) |
−0.815197 | + | 0.579184i | \(0.803371\pi\) | |||||||
\(444\) | −2.98099e6 | + | 1.43557e6i | −0.717635 | + | 0.345595i | ||||
\(445\) | −852285. | + | 3.73411e6i | −0.204026 | + | 0.893895i | ||||
\(446\) | −2.14694e6 | + | 1.03391e6i | −0.511074 | + | 0.246120i | ||||
\(447\) | −3.52824e6 | − | 1.69911e6i | −0.835198 | − | 0.402210i | ||||
\(448\) | −1.24139e6 | − | 4.48819e6i | −0.292223 | − | 1.05652i | ||||
\(449\) | 3.97512e6 | − | 1.91432e6i | 0.930539 | − | 0.448124i | 0.0937167 | − | 0.995599i | \(-0.470125\pi\) |
0.836822 | + | 0.547475i | \(0.184411\pi\) | |||||||
\(450\) | −360230. | + | 451714.i | −0.0838588 | + | 0.105156i | ||||
\(451\) | −134574. | − | 64807.3i | −0.0311544 | − | 0.0150031i | ||||
\(452\) | 366709. | + | 459838.i | 0.0844258 | + | 0.105867i | ||||
\(453\) | 367107. | + | 1.60840e6i | 0.0840517 | + | 0.368255i | ||||
\(454\) | 3.81523e6 | + | 4.78414e6i | 0.868722 | + | 1.08934i | ||||
\(455\) | 2.40583e6 | − | 1.29639e6i | 0.544799 | − | 0.293566i | ||||
\(456\) | 3.92648e6 | − | 4.92365e6i | 0.884283 | − | 1.10886i | ||||
\(457\) | 1.62445e6 | + | 782296.i | 0.363846 | + | 0.175219i | 0.606869 | − | 0.794802i | \(-0.292425\pi\) |
−0.243024 | + | 0.970020i | \(0.578139\pi\) | |||||||
\(458\) | 839133. | + | 3.67648e6i | 0.186925 | + | 0.818972i | ||||
\(459\) | 2.37532e6 | 0.526247 | ||||||||
\(460\) | 790962. | 0.174286 | ||||||||
\(461\) | −1.37257e6 | − | 6.01361e6i | −0.300802 | − | 1.31790i | −0.868920 | − | 0.494953i | \(-0.835185\pi\) |
0.568117 | − | 0.822948i | \(-0.307672\pi\) | |||||||
\(462\) | 774790. | + | 330643.i | 0.168880 | + | 0.0720700i | ||||
\(463\) | 13406.5 | − | 58737.9i | 0.00290646 | − | 0.0127340i | −0.973454 | − | 0.228883i | \(-0.926493\pi\) |
0.976360 | + | 0.216149i | \(0.0693498\pi\) | |||||||
\(464\) | 779202. | − | 3.41391e6i | 0.168018 | − | 0.736133i | ||||
\(465\) | −2.89191e6 | + | 3.62634e6i | −0.620229 | + | 0.777743i | ||||
\(466\) | 2.98920e6 | − | 3.74834e6i | 0.637662 | − | 0.799603i | ||||
\(467\) | 919166. | − | 4.02713e6i | 0.195030 | − | 0.854483i | −0.778812 | − | 0.627258i | \(-0.784177\pi\) |
0.973842 | − | 0.227226i | \(-0.0729655\pi\) | |||||||
\(468\) | −265457. | + | 1.16304e6i | −0.0560246 | + | 0.245460i | ||||
\(469\) | −3.72065e6 | + | 5.12713e6i | −0.781064 | + | 1.07632i | ||||
\(470\) | −891290. | − | 3.90500e6i | −0.186112 | − | 0.815410i | ||||
\(471\) | 7.47782e6 | 1.55318 | ||||||||
\(472\) | 6.95020e6 | 1.43596 | ||||||||
\(473\) | 202072. | + | 885334.i | 0.0415291 | + | 0.181951i | ||||
\(474\) | 5.20787e6 | + | 2.50798e6i | 1.06467 | + | 0.512717i | ||||
\(475\) | 324259. | − | 406608.i | 0.0659415 | − | 0.0826880i | ||||
\(476\) | −981193. | + | 1.35210e6i | −0.198489 | + | 0.273522i | ||||
\(477\) | −1.99563e6 | − | 2.50244e6i | −0.401592 | − | 0.503580i | ||||
\(478\) | 429071. | + | 1.87988e6i | 0.0858934 | + | 0.376323i | ||||
\(479\) | 1.41926e6 | + | 1.77969e6i | 0.282633 | + | 0.354411i | 0.902801 | − | 0.430058i | \(-0.141507\pi\) |
−0.620168 | + | 0.784469i | \(0.712936\pi\) | |||||||
\(480\) | −3.64852e6 | − | 1.75704e6i | −0.722793 | − | 0.348079i | ||||
\(481\) | 3.74798e6 | − | 4.69981e6i | 0.738642 | − | 0.926228i | ||||
\(482\) | 2.99193e6 | − | 1.44084e6i | 0.586589 | − | 0.282487i | ||||
\(483\) | 4.54443e6 | + | 1.93935e6i | 0.886364 | + | 0.378258i | ||||
\(484\) | −1.33190e6 | − | 641408.i | −0.258439 | − | 0.124458i | ||||
\(485\) | 505742. | − | 243553.i | 0.0976281 | − | 0.0470152i | ||||
\(486\) | 1.34421e6 | − | 5.88936e6i | 0.258152 | − | 1.13104i | ||||
\(487\) | 7.00300e6 | − | 3.37246e6i | 1.33802 | − | 0.644355i | 0.378394 | − | 0.925645i | \(-0.376477\pi\) |
0.959623 | + | 0.281290i | \(0.0907623\pi\) | |||||||
\(488\) | −809288. | − | 1.01482e6i | −0.153834 | − | 0.192902i | ||||
\(489\) | −5.91818e6 | −1.11922 | ||||||||
\(490\) | −557125. | + | 4.14811e6i | −0.104824 | + | 0.780477i | ||||
\(491\) | 4.57843e6 | 0.857063 | 0.428531 | − | 0.903527i | \(-0.359031\pi\) | ||||
0.428531 | + | 0.903527i | \(0.359031\pi\) | |||||||
\(492\) | 357258. | + | 447987.i | 0.0665379 | + | 0.0834359i | ||||
\(493\) | −6.81764e6 | + | 3.28320e6i | −1.26333 | + | 0.608388i | ||||
\(494\) | −576812. | + | 2.52718e6i | −0.106345 | + | 0.465927i | ||||
\(495\) | 861297. | − | 414779.i | 0.157994 | − | 0.0760858i | ||||
\(496\) | −2.14778e6 | − | 1.03432e6i | −0.392000 | − | 0.188777i | ||||
\(497\) | −5.70112e6 | − | 6.51802e6i | −1.03531 | − | 1.18365i | ||||
\(498\) | 8.57560e6 | − | 4.12979e6i | 1.54950 | − | 0.746199i | ||||
\(499\) | −2.96462e6 | + | 3.71752e6i | −0.532989 | + | 0.668347i | −0.973310 | − | 0.229494i | \(-0.926293\pi\) |
0.440322 | + | 0.897840i | \(0.354864\pi\) | |||||||
\(500\) | −1.55151e6 | − | 747166.i | −0.277542 | − | 0.133657i | ||||
\(501\) | 7.57000e6 | + | 9.49248e6i | 1.34742 | + | 1.68961i | ||||
\(502\) | 833294. | + | 3.65090e6i | 0.147584 | + | 0.646607i | ||||
\(503\) | 288083. | + | 361245.i | 0.0507689 | + | 0.0636622i | 0.806568 | − | 0.591142i | \(-0.201323\pi\) |
−0.755799 | + | 0.654804i | \(0.772751\pi\) | |||||||
\(504\) | −5.30919e6 | − | 6.06993e6i | −0.931005 | − | 1.06441i | ||||
\(505\) | −3.80807e6 | + | 4.77517e6i | −0.664472 | + | 0.833222i | ||||
\(506\) | −399095. | − | 192194.i | −0.0692947 | − | 0.0333706i | ||||
\(507\) | 1.10045e6 | + | 4.82140e6i | 0.190130 | + | 0.833016i | ||||
\(508\) | 1.82017e6 | 0.312935 | ||||||||
\(509\) | −7.83801e6 | −1.34095 | −0.670473 | − | 0.741934i | \(-0.733909\pi\) | ||||
−0.670473 | + | 0.741934i | \(0.733909\pi\) | |||||||
\(510\) | −1.80129e6 | − | 7.89196e6i | −0.306660 | − | 1.34357i | ||||
\(511\) | −1.86353e6 | − | 6.73751e6i | −0.315708 | − | 1.14142i | ||||
\(512\) | 1.35467e6 | − | 5.93521e6i | 0.228381 | − | 1.00060i | ||||
\(513\) | 520315. | − | 2.27965e6i | 0.0872916 | − | 0.382450i | ||||
\(514\) | −1.71375e6 | + | 2.14897e6i | −0.286114 | + | 0.358775i | ||||
\(515\) | 6.18765e6 | − | 7.75907e6i | 1.02803 | − | 1.28911i | ||||
\(516\) | 775189. | − | 3.39633e6i | 0.128169 | − | 0.561546i | ||||
\(517\) | 206777. | − | 905947.i | 0.0340232 | − | 0.149065i | ||||
\(518\) | 2.45420e6 | + | 8.87304e6i | 0.401870 | + | 1.45294i | ||||
\(519\) | 606204. | + | 2.65595e6i | 0.0987872 | + | 0.432815i | ||||
\(520\) | 4.14864e6 | 0.672818 | ||||||||
\(521\) | −4.36566e6 | −0.704622 | −0.352311 | − | 0.935883i | \(-0.614604\pi\) | ||||
−0.352311 | + | 0.935883i | \(0.614604\pi\) | |||||||
\(522\) | −1.84143e6 | − | 8.06785e6i | −0.295788 | − | 1.29593i | ||||
\(523\) | 3.86256e6 | + | 1.86011e6i | 0.617477 | + | 0.297361i | 0.716353 | − | 0.697738i | \(-0.245810\pi\) |
−0.0988753 | + | 0.995100i | \(0.531524\pi\) | |||||||
\(524\) | −1.53812e6 | + | 1.92874e6i | −0.244715 | + | 0.306863i | ||||
\(525\) | −775531. | − | 886655.i | −0.122801 | − | 0.140397i | ||||
\(526\) | −1.93094e6 | − | 2.42133e6i | −0.304302 | − | 0.381583i | ||||
\(527\) | 1.14629e6 | + | 5.02224e6i | 0.179792 | + | 0.787719i | ||||
\(528\) | 541849. | + | 679457.i | 0.0845851 | + | 0.106066i | ||||
\(529\) | 3.45810e6 | + | 1.66534e6i | 0.537278 | + | 0.258739i | ||||
\(530\) | −1.57230e6 | + | 1.97161e6i | −0.243135 | + | 0.304881i | ||||
\(531\) | 1.00569e7 | − | 4.84313e6i | 1.54784 | − | 0.745400i | ||||
\(532\) | 1.08271e6 | + | 1.23785e6i | 0.165857 | + | 0.189622i | ||||
\(533\) | −937948. | − | 451692.i | −0.143008 | − | 0.0688691i | ||||
\(534\) | −7.41373e6 | + | 3.57026e6i | −1.12508 | + | 0.541810i | ||||
\(535\) | 2.36281e6 | − | 1.03521e7i | 0.356898 | − | 1.56367i | ||||
\(536\) | −8.66430e6 | + | 4.17251e6i | −1.30263 | + | 0.627314i | ||||
\(537\) | −314634. | − | 394538.i | −0.0470836 | − | 0.0590410i | ||||
\(538\) | 1.22855e6 | 0.182994 | ||||||||
\(539\) | −533999. | + | 810967.i | −0.0791715 | + | 0.120235i | ||||
\(540\) | −847834. | −0.125120 | ||||||||
\(541\) | −6.46247e6 | − | 8.10369e6i | −0.949305 | − | 1.19039i | −0.981607 | − | 0.190912i | \(-0.938855\pi\) |
0.0323022 | − | 0.999478i | \(-0.489716\pi\) | |||||||
\(542\) | −5.98462e6 | + | 2.88204e6i | −0.875062 | + | 0.421407i | ||||
\(543\) | 243456. | − | 1.06665e6i | 0.0354341 | − | 0.155247i | ||||
\(544\) | −4.05216e6 | + | 1.95142e6i | −0.587070 | + | 0.282718i | ||||
\(545\) | −9.86405e6 | − | 4.75028e6i | −1.42254 | − | 0.685059i | ||||
\(546\) | 5.40011e6 | + | 2.30451e6i | 0.775213 | + | 0.330824i | ||||
\(547\) | −6.05595e6 | + | 2.91639e6i | −0.865395 | + | 0.416752i | −0.813269 | − | 0.581888i | \(-0.802314\pi\) |
−0.0521262 | + | 0.998641i | \(0.516600\pi\) | |||||||
\(548\) | 906402. | − | 1.13659e6i | 0.128935 | − | 0.161679i | ||||
\(549\) | −1.87819e6 | − | 904488.i | −0.265955 | − | 0.128077i | ||||
\(550\) | 65844.4 | + | 82566.2i | 0.00928137 | + | 0.0116385i | ||||
\(551\) | 1.65756e6 | + | 7.26224e6i | 0.232589 | + | 1.01904i | ||||
\(552\) | 4.67654e6 | + | 5.86420e6i | 0.653247 | + | 0.819146i | ||||
\(553\) | −3.91320e6 | + | 5.39246e6i | −0.544150 | + | 0.749850i | ||||
\(554\) | −1.77520e6 | + | 2.22603e6i | −0.245738 | + | 0.308146i | ||||
\(555\) | 1.66494e7 | + | 8.01795e6i | 2.29439 | + | 1.10492i | ||||
\(556\) | −587945. | − | 2.57596e6i | −0.0806584 | − | 0.353388i | ||||
\(557\) | 5.38379e6 | 0.735275 | 0.367638 | − | 0.929969i | \(-0.380167\pi\) | ||||
0.367638 | + | 0.929969i | \(0.380167\pi\) | |||||||
\(558\) | −5.63360e6 | −0.765951 | ||||||||
\(559\) | 1.40839e6 | + | 6.17058e6i | 0.190632 | + | 0.835211i | ||||
\(560\) | −2.53599e6 | + | 3.49465e6i | −0.341726 | + | 0.470905i | ||||
\(561\) | 417893. | − | 1.83091e6i | 0.0560607 | − | 0.245618i | ||||
\(562\) | −1.81615e6 | + | 7.95708e6i | −0.242556 | + | 1.06271i | ||||
\(563\) | 4.87191e6 | − | 6.10919e6i | 0.647782 | − | 0.812292i | −0.344170 | − | 0.938907i | \(-0.611840\pi\) |
0.991952 | + | 0.126615i | \(0.0404112\pi\) | |||||||
\(564\) | −2.22260e6 | + | 2.78706e6i | −0.294215 | + | 0.368933i | ||||
\(565\) | 730973. | − | 3.20260e6i | 0.0963342 | − | 0.422068i | ||||
\(566\) | 1.94313e6 | − | 8.51341e6i | 0.254953 | − | 1.11702i | ||||
\(567\) | 4.28696e6 | + | 1.82947e6i | 0.560004 | + | 0.238983i | ||||
\(568\) | −2.92517e6 | − | 1.28160e7i | −0.380434 | − | 1.66679i | ||||
\(569\) | 7.88101e6 | 1.02047 | 0.510236 | − | 0.860034i | \(-0.329558\pi\) | ||||
0.510236 | + | 0.860034i | \(0.329558\pi\) | |||||||
\(570\) | −7.96867e6 | −1.02730 | ||||||||
\(571\) | −1.32282e6 | − | 5.79564e6i | −0.169789 | − | 0.743894i | −0.986082 | − | 0.166257i | \(-0.946832\pi\) |
0.816293 | − | 0.577637i | \(-0.196025\pi\) | |||||||
\(572\) | 196459. | + | 94609.4i | 0.0251062 | + | 0.0120905i | ||||
\(573\) | −5.60735e6 | + | 7.03140e6i | −0.713463 | + | 0.894654i | ||||
\(574\) | 1.40354e6 | − | 756302.i | 0.177806 | − | 0.0958110i | ||||
\(575\) | 386202. | + | 484282.i | 0.0487130 | + | 0.0610842i | ||||
\(576\) | −2.52633e6 | − | 1.10686e7i | −0.317274 | − | 1.39007i | ||||
\(577\) | 5.71609e6 | + | 7.16775e6i | 0.714759 | + | 0.896279i | 0.998029 | − | 0.0627612i | \(-0.0199907\pi\) |
−0.283270 | + | 0.959040i | \(0.591419\pi\) | |||||||
\(578\) | −2.01507e6 | − | 970405.i | −0.250882 | − | 0.120818i | ||||
\(579\) | −7.54056e6 | + | 9.45557e6i | −0.934776 | + | 1.17217i | ||||
\(580\) | 2.43345e6 | − | 1.17189e6i | 0.300368 | − | 0.144649i | ||||
\(581\) | 2.92473e6 | + | 1.05742e7i | 0.359456 | + | 1.29959i | ||||
\(582\) | 1.08653e6 | + | 523245.i | 0.132964 | + | 0.0640321i | ||||
\(583\) | −527108. | + | 253842.i | −0.0642286 | + | 0.0309308i | ||||
\(584\) | 2.36137e6 | − | 1.03458e7i | 0.286505 | − | 1.25526i | ||||
\(585\) | 6.00304e6 | − | 2.89091e6i | 0.725240 | − | 0.349257i | ||||
\(586\) | 1.75662e6 | + | 2.20274e6i | 0.211317 | + | 0.264983i | ||||
\(587\) | 8.05448e6 | 0.964811 | 0.482405 | − | 0.875948i | \(-0.339763\pi\) | ||||
0.482405 | + | 0.875948i | \(0.339763\pi\) | |||||||
\(588\) | 3.19549e6 | − | 1.91412e6i | 0.381149 | − | 0.228311i | ||||
\(589\) | 5.07106e6 | 0.602297 | ||||||||
\(590\) | −5.48325e6 | − | 6.87578e6i | −0.648497 | − | 0.813190i | ||||
\(591\) | −2.40280e6 | + | 1.15713e6i | −0.282975 | + | 0.136274i | ||||
\(592\) | −2.11342e6 | + | 9.25949e6i | −0.247846 | + | 1.08588i | ||||
\(593\) | −2.50372e6 | + | 1.20573e6i | −0.292380 | + | 0.140803i | −0.574324 | − | 0.818628i | \(-0.694735\pi\) |
0.281944 | + | 0.959431i | \(0.409021\pi\) | |||||||
\(594\) | 427790. | + | 206013.i | 0.0497468 | + | 0.0239568i | ||||
\(595\) | 9.32104e6 | − | 423888.i | 1.07937 | − | 0.0490861i | ||||
\(596\) | 1.39868e6 | − | 673567.i | 0.161288 | − | 0.0776721i | ||||
\(597\) | −9.52382e6 | + | 1.19425e7i | −1.09364 | + | 1.37138i | ||||
\(598\) | −2.78160e6 | − | 1.33955e6i | −0.318084 | − | 0.153181i | ||||
\(599\) | −1.59639e6 | − | 2.00182e6i | −0.181791 | − | 0.227959i | 0.682583 | − | 0.730808i | \(-0.260857\pi\) |
−0.864374 | + | 0.502849i | \(0.832285\pi\) | |||||||
\(600\) | −397914. | − | 1.74338e6i | −0.0451244 | − | 0.197703i | ||||
\(601\) | 3.02017e6 | + | 3.78717e6i | 0.341071 | + | 0.427689i | 0.922553 | − | 0.385870i | \(-0.126099\pi\) |
−0.581483 | + | 0.813559i | \(0.697527\pi\) | |||||||
\(602\) | −8.91529e6 | − | 3.80462e6i | −1.00264 | − | 0.427878i | ||||
\(603\) | −9.62961e6 | + | 1.20751e7i | −1.07849 | + | 1.35238i | ||||
\(604\) | −589237. | − | 283762.i | −0.0657200 | − | 0.0316491i | ||||
\(605\) | 1.83726e6 | + | 8.04957e6i | 0.204072 | + | 0.894096i | ||||
\(606\) | −1.31217e7 | −1.45147 | ||||||||
\(607\) | −9.53447e6 | −1.05033 | −0.525164 | − | 0.851001i | \(-0.675996\pi\) | ||||
−0.525164 | + | 0.851001i | \(0.675996\pi\) | |||||||
\(608\) | 985194. | + | 4.31642e6i | 0.108084 | + | 0.473548i | ||||
\(609\) | 1.68546e7 | − | 766489.i | 1.84152 | − | 0.0837458i | ||||
\(610\) | −365474. | + | 1.60125e6i | −0.0397678 | + | 0.174234i | ||||
\(611\) | 1.44119e6 | − | 6.31425e6i | 0.156177 | − | 0.684256i | ||||
\(612\) | −2.53948e6 | + | 3.18440e6i | −0.274073 | + | 0.343676i | ||||
\(613\) | −5.38935e6 | + | 6.75803e6i | −0.579276 | + | 0.726389i | −0.981989 | − | 0.188938i | \(-0.939496\pi\) |
0.402714 | + | 0.915326i | \(0.368067\pi\) | |||||||
\(614\) | 750866. | − | 3.28976e6i | 0.0803788 | − | 0.352163i | ||||
\(615\) | 712135. | − | 3.12007e6i | 0.0759232 | − | 0.332641i | ||||
\(616\) | −1.29761e6 | + | 699221.i | −0.137782 | + | 0.0742443i | ||||
\(617\) | 2.90362e6 | + | 1.27216e7i | 0.307063 | + | 1.34533i | 0.859227 | + | 0.511595i | \(0.170945\pi\) |
−0.552164 | + | 0.833736i | \(0.686198\pi\) | |||||||
\(618\) | 2.13211e7 | 2.24563 | ||||||||
\(619\) | −2.27745e6 | −0.238903 | −0.119452 | − | 0.992840i | \(-0.538114\pi\) | ||||
−0.119452 | + | 0.992840i | \(0.538114\pi\) | |||||||
\(620\) | −409153. | − | 1.79261e6i | −0.0427470 | − | 0.187287i | ||||
\(621\) | 2.50915e6 | + | 1.20834e6i | 0.261095 | + | 0.125736i | ||||
\(622\) | −3.22038e6 | + | 4.03823e6i | −0.333758 | + | 0.418519i | ||||
\(623\) | −2.52847e6 | − | 9.14155e6i | −0.260998 | − | 0.943626i | ||||
\(624\) | 3.77657e6 | + | 4.73566e6i | 0.388272 | + | 0.486877i | ||||
\(625\) | 1.87297e6 | + | 8.20602e6i | 0.191792 | + | 0.840297i | ||||
\(626\) | 1.57686e6 | + | 1.97731e6i | 0.160826 | + | 0.201669i | ||||
\(627\) | −1.66563e6 | − | 802124.i | −0.169203 | − | 0.0814840i | ||||
\(628\) | −1.84826e6 | + | 2.31765e6i | −0.187010 | + | 0.234503i | ||||
\(629\) | 1.84914e7 | − | 8.90499e6i | 1.86356 | − | 0.897443i | ||||
\(630\) | −1.81633e6 | + | 1.00411e7i | −0.182324 | + | 1.00793i | ||||
\(631\) | −5.36679e6 | − | 2.58451e6i | −0.536588 | − | 0.258407i | 0.145906 | − | 0.989298i | \(-0.453390\pi\) |
−0.682494 | + | 0.730891i | \(0.739105\pi\) | |||||||
\(632\) | −9.11269e6 | + | 4.38844e6i | −0.907515 | + | 0.437036i | ||||
\(633\) | 2.06561e6 | − | 9.05002e6i | 0.204898 | − | 0.897719i | ||||
\(634\) | 798941. | − | 384750.i | 0.0789390 | − | 0.0380150i | ||||
\(635\) | −6.33843e6 | − | 7.94813e6i | −0.623802 | − | 0.782224i | ||||
\(636\) | 2.24436e6 | 0.220013 | ||||||||
\(637\) | −3.72185e6 | + | 5.65226e6i | −0.363421 | + | 0.551916i | ||||
\(638\) | −1.51260e6 | −0.147120 | ||||||||
\(639\) | −1.31633e7 | − | 1.65063e7i | −1.27530 | − | 1.59918i | ||||
\(640\) | −3.12129e6 | + | 1.50313e6i | −0.301220 | + | 0.145060i | ||||
\(641\) | 349144. | − | 1.52970e6i | 0.0335629 | − | 0.147049i | −0.955370 | − | 0.295412i | \(-0.904543\pi\) |
0.988933 | + | 0.148363i | \(0.0474004\pi\) | |||||||
\(642\) | 2.05532e7 | − | 9.89791e6i | 1.96808 | − | 0.947777i | ||||
\(643\) | −1.08558e7 | − | 5.22789e6i | −1.03546 | − | 0.498653i | −0.162639 | − | 0.986686i | \(-0.552000\pi\) |
−0.872825 | + | 0.488032i | \(0.837715\pi\) | |||||||
\(644\) | −1.72430e6 | + | 929144.i | −0.163832 | + | 0.0882812i | ||||
\(645\) | −1.75302e7 | + | 8.44208e6i | −1.65915 | + | 0.799006i | ||||
\(646\) | −5.51804e6 | + | 6.91940e6i | −0.520240 | + | 0.652360i | ||||
\(647\) | 1.01071e7 | + | 4.86732e6i | 0.949218 | + | 0.457119i | 0.843412 | − | 0.537268i | \(-0.180543\pi\) |
0.105806 | + | 0.994387i | \(0.466258\pi\) | |||||||
\(648\) | 4.41158e6 | + | 5.53195e6i | 0.412721 | + | 0.517536i | ||||
\(649\) | −454006. | − | 1.98913e6i | −0.0423107 | − | 0.185375i | ||||
\(650\) | 458920. | + | 575468.i | 0.0426043 | + | 0.0534242i | ||||
\(651\) | 2.04451e6 | − | 1.13026e7i | 0.189077 | − | 1.04526i | ||||
\(652\) | 1.46277e6 | − | 1.83426e6i | 0.134759 | − | 0.168982i | ||||
\(653\) | −1.51055e7 | − | 7.27441e6i | −1.38628 | − | 0.667598i | −0.415952 | − | 0.909387i | \(-0.636552\pi\) |
−0.970329 | + | 0.241789i | \(0.922266\pi\) | |||||||
\(654\) | −5.23394e6 | − | 2.29314e7i | −0.478503 | − | 2.09646i | ||||
\(655\) | 1.37784e7 | 1.25486 | ||||||||
\(656\) | 1.64481e6 | 0.149230 | ||||||||
\(657\) | −3.79244e6 | − | 1.66158e7i | −0.342772 | − | 1.50178i | ||||
\(658\) | 6.53022e6 | + | 7.46591e6i | 0.587980 | + | 0.672230i | ||||
\(659\) | −1.49197e6 | + | 6.53675e6i | −0.133828 | + | 0.586338i | 0.862891 | + | 0.505391i | \(0.168652\pi\) |
−0.996718 | + | 0.0809473i | \(0.974205\pi\) | |||||||
\(660\) | −149161. | + | 653516.i | −0.0133289 | + | 0.0583978i | ||||
\(661\) | 1.17822e7 | − | 1.47744e7i | 1.04888 | − | 1.31525i | 0.101600 | − | 0.994825i | \(-0.467604\pi\) |
0.947275 | − | 0.320423i | \(-0.103825\pi\) | |||||||
\(662\) | 9.98669e6 | − | 1.25229e7i | 0.885679 | − | 1.11061i | ||||
\(663\) | 2.91262e6 | − | 1.27610e7i | 0.257336 | − | 1.12746i | ||||
\(664\) | −3.70605e6 | + | 1.62373e7i | −0.326206 | + | 1.42920i | ||||
\(665\) | 1.63496e6 | − | 9.03847e6i | 0.143368 | − | 0.792575i | ||||
\(666\) | 4.99450e6 | + | 2.18823e7i | 0.436321 | + | 1.91165i | ||||
\(667\) | −8.87196e6 | −0.772156 | ||||||||
\(668\) | −4.81311e6 | −0.417335 | ||||||||
\(669\) | −2.63576e6 | − | 1.15480e7i | −0.227688 | − | 0.997566i | ||||
\(670\) | 1.09634e7 | + | 5.27970e6i | 0.943536 | + | 0.454383i | ||||
\(671\) | −237573. | + | 297907.i | −0.0203700 | + | 0.0255432i | ||||
\(672\) | 1.00178e7 | − | 455574.i | 0.855754 | − | 0.0389167i | ||||
\(673\) | 3.00366e6 | + | 3.76648e6i | 0.255631 | + | 0.320551i | 0.893042 | − | 0.449972i | \(-0.148566\pi\) |
−0.637411 | + | 0.770524i | \(0.719995\pi\) | |||||||
\(674\) | −3.52019e6 | − | 1.54230e7i | −0.298481 | − | 1.30773i | ||||
\(675\) | −413970. | − | 519102.i | −0.0349711 | − | 0.0438524i | ||||
\(676\) | −1.76632e6 | − | 850615.i | −0.148663 | − | 0.0715923i | ||||
\(677\) | 1.06593e7 | − | 1.33663e7i | 0.893832 | − | 1.12083i | −0.0982409 | − | 0.995163i | \(-0.531322\pi\) |
0.992073 | − | 0.125667i | \(-0.0401070\pi\) | |||||||
\(678\) | 6.35848e6 | − | 3.06208e6i | 0.531225 | − | 0.255825i | ||||
\(679\) | −816419. | + | 1.12504e6i | −0.0679577 | + | 0.0936470i | ||||
\(680\) | 1.27617e7 | + | 6.14571e6i | 1.05837 | + | 0.509682i | ||||
\(681\) | −2.74046e7 | + | 1.31974e7i | −2.26442 | + | 1.09049i | ||||
\(682\) | −229137. | + | 1.00392e6i | −0.0188640 | + | 0.0826488i | ||||
\(683\) | 743824. | − | 358207.i | 0.0610125 | − | 0.0293821i | −0.403129 | − | 0.915143i | \(-0.632077\pi\) |
0.464141 | + | 0.885761i | \(0.346363\pi\) | |||||||
\(684\) | 2.49987e6 | + | 3.13474e6i | 0.204304 | + | 0.256190i | ||||
\(685\) | −8.11952e6 | −0.661156 | ||||||||
\(686\) | −3.65825e6 | − | 9.69736e6i | −0.296800 | − | 0.786762i | ||||
\(687\) | −1.87449e7 | −1.51528 | ||||||||
\(688\) | −6.23490e6 | − | 7.81832e6i | −0.502179 | − | 0.629713i | ||||
\(689\) | −3.67382e6 | + | 1.76922e6i | −0.294829 | + | 0.141982i | ||||
\(690\) | 2.11192e6 | − | 9.25294e6i | 0.168871 | − | 0.739873i | ||||
\(691\) | 2.12352e7 | − | 1.02263e7i | 1.69185 | − | 0.814752i | 0.696593 | − | 0.717466i | \(-0.254698\pi\) |
0.995257 | − | 0.0972855i | \(-0.0310160\pi\) | |||||||
\(692\) | −973009. | − | 468577.i | −0.0772417 | − | 0.0371976i | ||||
\(693\) | −1.39039e6 | + | 1.91598e6i | −0.109977 | + | 0.151551i | ||||
\(694\) | 1.14588e7 | − | 5.51826e6i | 0.903108 | − | 0.434914i | ||||
\(695\) | −9.20098e6 | + | 1.15377e7i | −0.722557 | + | 0.906058i | ||||
\(696\) | 2.30761e7 | + | 1.11129e7i | 1.80568 | + | 0.869568i | ||||
\(697\) | −2.21611e6 | − | 2.77891e6i | −0.172786 | − | 0.216667i | ||||
\(698\) | −656806. | − | 2.87765e6i | −0.0510268 | − | 0.223563i | ||||
\(699\) | 1.48586e7 | + | 1.86321e7i | 1.15023 | + | 1.44235i | ||||
\(700\) | 466491. | − | 21214.4i | 0.0359831 | − | 0.00163638i | ||||
\(701\) | 7.96376e6 | − | 9.98624e6i | 0.612101 | − | 0.767551i | −0.375108 | − | 0.926981i | \(-0.622394\pi\) |
0.987209 | + | 0.159431i | \(0.0509658\pi\) | |||||||
\(702\) | 2.98160e6 | + | 1.43586e6i | 0.228353 | + | 0.109969i | ||||
\(703\) | −4.49577e6 | − | 1.96973e7i | −0.343096 | − | 1.50320i | ||||
\(704\) | −2.07519e6 | −0.157807 | ||||||||
\(705\) | 1.99100e7 | 1.50869 | ||||||||
\(706\) | −971233. | − | 4.25525e6i | −0.0733351 | − | 0.321302i | ||||
\(707\) | 2.69222e6 | − | 1.48832e7i | 0.202564 | − | 1.11982i | ||||
\(708\) | −1.74166e6 | + | 7.63072e6i | −0.130581 | + | 0.572114i | ||||
\(709\) | 4.71700e6 | − | 2.06665e7i | 0.352411 | − | 1.54402i | −0.419184 | − | 0.907901i | \(-0.637684\pi\) |
0.771595 | − | 0.636114i | \(-0.219459\pi\) | |||||||
\(710\) | −1.03710e7 | + | 1.30048e7i | −0.772103 | + | 0.968186i | ||||
\(711\) | −1.01280e7 | + | 1.27001e7i | −0.751359 | + | 0.942175i | ||||
\(712\) | 3.20394e6 | − | 1.40374e7i | 0.236856 | − | 1.03773i | ||||
\(713\) | −1.34398e6 | + | 5.88834e6i | −0.0990074 | + | 0.433780i | ||||
\(714\) | 1.31975e7 | + | 1.50885e7i | 0.968827 | + | 1.10765i | ||||
\(715\) | −271001. | − | 1.18733e6i | −0.0198247 | − | 0.0868575i | ||||
\(716\) | 200048. | 0.0145832 | ||||||||
\(717\) | −9.58477e6 | −0.696280 | ||||||||
\(718\) | 829548. | + | 3.63449e6i | 0.0600524 | + | 0.263107i | ||||
\(719\) | −2.04376e7 | − | 9.84224e6i | −1.47437 | − | 0.710022i | −0.487743 | − | 0.872987i | \(-0.662180\pi\) |
−0.986632 | + | 0.162966i | \(0.947894\pi\) | |||||||
\(720\) | −6.56354e6 | + | 8.23041e6i | −0.471853 | + | 0.591685i | ||||
\(721\) | −4.37453e6 | + | 2.41834e7i | −0.313396 | + | 1.73253i | ||||
\(722\) | −1.91160e6 | − | 2.39707e6i | −0.136475 | − | 0.171134i | ||||
\(723\) | 3.67313e6 | + | 1.60930e7i | 0.261331 | + | 1.14497i | ||||
\(724\) | 270420. | + | 339096.i | 0.0191731 | + | 0.0240423i | ||||
\(725\) | 1.90569e6 | + | 917732.i | 0.134650 | + | 0.0648442i | ||||
\(726\) | −1.10597e7 | + | 1.38684e7i | −0.778754 | + | 0.976527i | ||||
\(727\) | 1.08584e7 | − | 5.22914e6i | 0.761957 | − | 0.366939i | −0.0122061 | − | 0.999926i | \(-0.503885\pi\) |
0.774163 | + | 0.632986i | \(0.218171\pi\) | |||||||
\(728\) | −9.04406e6 | + | 4.87341e6i | −0.632463 | + | 0.340804i | ||||
\(729\) | 1.91824e7 | + | 9.23778e6i | 1.33686 | + | 0.643797i | ||||
\(730\) | −1.20980e7 | + | 5.82610e6i | −0.840247 | + | 0.404642i | ||||
\(731\) | −4.80858e6 | + | 2.10678e7i | −0.332831 | + | 1.45823i | ||||
\(732\) | 1.31698e6 | − | 634225.i | 0.0908452 | − | 0.0437487i | ||||
\(733\) | −1.37273e7 | − | 1.72134e7i | −0.943678 | − | 1.18333i | −0.982907 | − | 0.184105i | \(-0.941061\pi\) |
0.0392286 | − | 0.999230i | \(-0.487510\pi\) | |||||||
\(734\) | 1.60938e7 | 1.10260 | ||||||||
\(735\) | −1.94861e7 | − | 7.28813e6i | −1.33047 | − | 0.497620i | ||||
\(736\) | −5.27318e6 | −0.358821 | ||||||||
\(737\) | 1.76014e6 | + | 2.20715e6i | 0.119365 | + | 0.149680i | ||||
\(738\) | 3.50213e6 | − | 1.68654e6i | 0.236696 | − | 0.113987i | ||||
\(739\) | −3.07704e6 | + | 1.34814e7i | −0.207263 | + | 0.908080i | 0.759115 | + | 0.650956i | \(0.225632\pi\) |
−0.966379 | + | 0.257124i | \(0.917225\pi\) | |||||||
\(740\) | −6.60023e6 | + | 3.17850e6i | −0.443077 | + | 0.213375i | ||||
\(741\) | −1.16090e7 | − | 5.59062e6i | −0.776696 | − | 0.374037i | ||||
\(742\) | 1.11158e6 | − | 6.14510e6i | 0.0741195 | − | 0.409750i | ||||
\(743\) | 682932. | − | 328883.i | 0.0453843 | − | 0.0218559i | −0.411054 | − | 0.911611i | \(-0.634839\pi\) |
0.456438 | + | 0.889755i | \(0.349125\pi\) | |||||||
\(744\) | 1.08714e7 | − | 1.36322e7i | 0.720031 | − | 0.902891i | ||||
\(745\) | −7.81189e6 | − | 3.76201e6i | −0.515662 | − | 0.248330i | ||||
\(746\) | 1.80614e6 | + | 2.26483e6i | 0.118824 | + | 0.149001i | ||||
\(747\) | 5.95206e6 | + | 2.60777e7i | 0.390271 | + | 1.70989i | ||||
\(748\) | 464176. | + | 582059.i | 0.0303339 | + | 0.0380376i | ||||
\(749\) | 7.00973e6 | + | 2.53433e7i | 0.456559 | + | 1.65066i | ||||
\(750\) | −1.28832e7 | + | 1.61550e7i | −0.836318 | + | 1.04871i | ||||
\(751\) | 1.11436e7 | + | 5.36649e6i | 0.720986 | + | 0.347209i | 0.758132 | − | 0.652101i | \(-0.226112\pi\) |
−0.0371457 | + | 0.999310i | \(0.511827\pi\) | |||||||
\(752\) | 2.27702e6 | + | 9.97628e6i | 0.146833 | + | 0.643315i | ||||
\(753\) | −1.86145e7 | −1.19636 | ||||||||
\(754\) | −1.05425e7 | −0.675327 | ||||||||
\(755\) | 812812. | + | 3.56116e6i | 0.0518947 | + | 0.227365i | ||||
\(756\) | 1.84828e6 | − | 995951.i | 0.117615 | − | 0.0633772i | ||||
\(757\) | 2.14575e6 | − | 9.40114e6i | 0.136094 | − | 0.596267i | −0.860178 | − | 0.509995i | \(-0.829647\pi\) |
0.996272 | − | 0.0862722i | \(-0.0274955\pi\) | |||||||
\(758\) | 758263. | − | 3.32217e6i | 0.0479343 | − | 0.210014i | ||||
\(759\) | 1.37284e6 | − | 1.72148e6i | 0.0864997 | − | 0.108467i | ||||
\(760\) | 8.69363e6 | − | 1.09015e7i | 0.545968 | − | 0.684622i | ||||
\(761\) | −5.57331e6 | + | 2.44183e7i | −0.348860 | + | 1.52846i | 0.430912 | + | 0.902394i | \(0.358192\pi\) |
−0.779773 | + | 0.626063i | \(0.784665\pi\) | |||||||
\(762\) | 4.85999e6 | − | 2.12930e7i | 0.303213 | − | 1.32846i | ||||
\(763\) | 2.70838e7 | − | 1.23168e6i | 1.68422 | − | 0.0765925i | ||||
\(764\) | −793338. | − | 3.47584e6i | −0.0491728 | − | 0.215440i | ||||
\(765\) | 2.27486e7 | 1.40540 | ||||||||
\(766\) | −2.17330e7 | −1.33828 | ||||||||
\(767\) | −3.16432e6 | − | 1.38638e7i | −0.194219 | − | 0.850930i | ||||
\(768\) | 1.77808e7 | + | 8.56278e6i | 1.08780 | + | 0.523856i | ||||
\(769\) | −1.52252e7 | + | 1.90918e7i | −0.928425 | + | 1.16421i | 0.0577212 | + | 0.998333i | \(0.481617\pi\) |
−0.986147 | + | 0.165876i | \(0.946955\pi\) | |||||||
\(770\) | 1.71547e6 | + | 732079.i | 0.104269 | + | 0.0444970i | ||||
\(771\) | −8.51864e6 | − | 1.06820e7i | −0.516100 | − | 0.647169i | ||||
\(772\) | −1.06685e6 | − | 4.67419e6i | −0.0644260 | − | 0.282269i | ||||
\(773\) | 8.97241e6 | + | 1.12510e7i | 0.540083 | + | 0.677242i | 0.974737 | − | 0.223355i | \(-0.0717010\pi\) |
−0.434655 | + | 0.900597i | \(0.643130\pi\) | |||||||
\(774\) | −2.12920e7 | − | 1.02537e7i | −1.27751 | − | 0.615216i | ||||
\(775\) | 897786. | − | 1.12579e6i | 0.0536931 | − | 0.0673290i | ||||
\(776\) | −1.90120e6 | + | 915570.i | −0.113338 | + | 0.0545805i | ||||
\(777\) | −4.57146e7 | + | 2.07894e6i | −2.71645 | + | 0.123535i | ||||
\(778\) | −1.61454e7 | − | 7.77520e6i | −0.956310 | − | 0.460535i | ||||
\(779\) | −3.15242e6 | + | 1.51813e6i | −0.186123 | + | 0.0896323i | ||||
\(780\) | −1.03962e6 | + | 4.55486e6i | −0.0611838 | + | 0.268064i | ||||
\(781\) | −3.47683e6 | + | 1.67435e6i | −0.203965 | + | 0.0982245i | ||||
\(782\) | −6.57214e6 | − | 8.24120e6i | −0.384317 | − | 0.481918i | ||||
\(783\) | 9.50987e6 | 0.554332 | ||||||||
\(784\) | 1.42331e6 | − | 1.05974e7i | 0.0827009 | − | 0.615755i | ||||
\(785\) | 1.65567e7 | 0.958957 | ||||||||
\(786\) | 1.84561e7 | + | 2.31433e7i | 1.06558 | + | 1.33619i | ||||
\(787\) | −4.50923e6 | + | 2.17153e6i | −0.259517 | + | 0.124977i | −0.559119 | − | 0.829088i | \(-0.688860\pi\) |
0.299602 | + | 0.954064i | \(0.403146\pi\) | |||||||
\(788\) | 235254. | − | 1.03072e6i | 0.0134965 | − | 0.0591321i | ||||
\(789\) | 1.38699e7 | − | 6.67939e6i | 0.793197 | − | 0.381983i | ||||
\(790\) | 1.15308e7 | + | 5.55293e6i | 0.657341 | + | 0.316559i | ||||
\(791\) | 2.16857e6 | + | 7.84037e6i | 0.123235 | + | 0.445549i | ||||
\(792\) | −3.23781e6 | + | 1.55925e6i | −0.183417 | + | 0.0883288i | ||||
\(793\) | −1.65583e6 | + | 2.07635e6i | −0.0935046 | + | 0.117251i | ||||
\(794\) | 2.49083e6 | + | 1.19952e6i | 0.140214 | + | 0.0675236i | ||||
\(795\) | −7.81556e6 | − | 9.80040e6i | −0.438573 | − | 0.549954i | ||||
\(796\) | −1.34745e6 | − | 5.90355e6i | −0.0753753 | − | 0.330241i | ||||
\(797\) | 939145. | + | 1.17765e6i | 0.0523705 | + | 0.0656705i | 0.807327 | − | 0.590104i | \(-0.200913\pi\) |
−0.754956 | + | 0.655775i | \(0.772342\pi\) | |||||||
\(798\) | 1.73717e7 | − | 9.36079e6i | 0.965686 | − | 0.520362i | ||||
\(799\) | 1.37870e7 | − | 1.72884e7i | 0.764018 | − | 0.958049i | ||||
\(800\) | 1.13268e6 | + | 545468.i | 0.0625720 | + | 0.0301331i | ||||
\(801\) | −5.14564e6 | − | 2.25445e7i | −0.283373 | − | 1.24154i | ||||
\(802\) | 1.21049e7 | 0.664544 | ||||||||
\(803\) | −3.11521e6 | −0.170490 | ||||||||
\(804\) | −2.40985e6 | − | 1.05583e7i | −0.131477 | − | 0.576040i | ||||
\(805\) | 1.00618e7 | + | 4.29391e6i | 0.547253 | + | 0.233541i | ||||
\(806\) | −1.59703e6 | + | 6.99707e6i | −0.0865918 | + | 0.379383i | ||||
\(807\) | −1.35890e6 | + | 5.95371e6i | −0.0734518 | + | 0.321813i | ||||
\(808\) | 1.43154e7 | − | 1.79510e7i | 0.771393 | − | 0.967297i | ||||
\(809\) | 1.57180e7 | − | 1.97097e7i | 0.844354 | − | 1.05879i | −0.153152 | − | 0.988203i | \(-0.548942\pi\) |
0.997506 | − | 0.0705840i | \(-0.0224863\pi\) | |||||||
\(810\) | 1.99227e6 | − | 8.72869e6i | 0.106693 | − | 0.467452i | ||||
\(811\) | −1.29696e6 | + | 5.68235e6i | −0.0692427 | + | 0.303372i | −0.997677 | − | 0.0681251i | \(-0.978298\pi\) |
0.928434 | + | 0.371497i | \(0.121155\pi\) | |||||||
\(812\) | −3.92832e6 | + | 5.41331e6i | −0.209082 | + | 0.288119i | ||||
\(813\) | −7.34719e6 | − | 3.21901e7i | −0.389848 | − | 1.70803i | ||||
\(814\) | 4.10260e6 | 0.217019 | ||||||||
\(815\) | −1.31035e7 | −0.691022 | ||||||||
\(816\) | 4.60183e6 | + | 2.01620e7i | 0.241939 | + | 1.06000i | ||||
\(817\) | 1.91659e7 | + | 9.22981e6i | 1.00456 | + | 0.483768i | ||||
\(818\) | 2.44784e6 | − | 3.06949e6i | 0.127908 | − | 0.160392i | ||||
\(819\) | −9.69070e6 | + | 1.33540e7i | −0.504830 | + | 0.695666i | ||||
\(820\) | 791006. | + | 991890.i | 0.0410814 | + | 0.0515144i | ||||
\(821\) | −8.03624e6 | − | 3.52091e7i | −0.416097 | − | 1.82304i | −0.553901 | − | 0.832583i | \(-0.686861\pi\) |
0.137804 | − | 0.990460i | \(-0.455996\pi\) | |||||||
\(822\) | −1.08761e7 | − | 1.36382e7i | −0.561426 | − | 0.704006i | ||||
\(823\) | −1.85534e7 | − | 8.93486e6i | −0.954827 | − | 0.459821i | −0.109451 | − | 0.993992i | \(-0.534909\pi\) |
−0.845376 | + | 0.534172i | \(0.820624\pi\) | |||||||
\(824\) | −2.32608e7 | + | 2.91681e7i | −1.19346 | + | 1.49655i | ||||
\(825\) | −472958. | + | 227765.i | −0.0241929 | + | 0.0116507i | ||||
\(826\) | 2.00305e7 | + | 8.54805e6i | 1.02151 | + | 0.435930i | ||||
\(827\) | 2.18207e7 | + | 1.05083e7i | 1.10944 | + | 0.534280i | 0.896615 | − | 0.442810i | \(-0.146018\pi\) |
0.212828 | + | 0.977090i | \(0.431733\pi\) | |||||||
\(828\) | −4.30249e6 | + | 2.07197e6i | −0.218094 | + | 0.105029i | ||||
\(829\) | −1.42760e6 | + | 6.25473e6i | −0.0721474 | + | 0.316098i | −0.998105 | − | 0.0615283i | \(-0.980403\pi\) |
0.925958 | + | 0.377627i | \(0.123260\pi\) | |||||||
\(830\) | 1.89873e7 | − | 9.14378e6i | 0.956681 | − | 0.460713i | ||||
\(831\) | −8.82410e6 | − | 1.10651e7i | −0.443269 | − | 0.555842i | ||||
\(832\) | −1.44636e7 | −0.724384 | ||||||||
\(833\) | −1.98220e7 | + | 1.18735e7i | −0.989770 | + | 0.592879i | ||||
\(834\) | −3.17042e7 | −1.57835 | ||||||||
\(835\) | 1.67608e7 | + | 2.10173e7i | 0.831913 | + | 1.04319i | ||||
\(836\) | 660293. | − | 317980.i | 0.0326754 | − | 0.0157356i | ||||
\(837\) | 1.44061e6 | − | 6.31172e6i | 0.0710776 | − | 0.311411i | ||||
\(838\) | −1.40110e7 | + | 6.74732e6i | −0.689220 | + | 0.331911i | ||||
\(839\) | 2.02056e7 | + | 9.73048e6i | 0.990982 | + | 0.477232i | 0.857869 | − | 0.513869i | \(-0.171788\pi\) |
0.133114 | + | 0.991101i | \(0.457503\pi\) | |||||||
\(840\) | −2.07926e7 | − | 2.37719e7i | −1.01674 | − | 1.16243i | ||||
\(841\) | −8.81534e6 | + | 4.24525e6i | −0.429783 | + | 0.206973i | ||||
\(842\) | −1.42036e7 | + | 1.78108e7i | −0.690430 | + | 0.865772i | ||||
\(843\) | −3.65523e7 | − | 1.76026e7i | −1.77152 | − | 0.853118i | ||||
\(844\) | 2.29438e6 | + | 2.87706e6i | 0.110869 | + | 0.139025i | ||||
\(845\) | 2.43652e6 | + | 1.06751e7i | 0.117389 | + | 0.514315i | ||||
\(846\) | 1.50776e7 | + | 1.89067e7i | 0.724279 | + | 0.908217i | ||||
\(847\) | −1.34611e7 | − | 1.53899e7i | −0.644720 | − | 0.737100i | ||||
\(848\) | 4.01684e6 | − | 5.03696e6i | 0.191821 | − | 0.240535i | ||||
\(849\) | 3.91079e7 | + | 1.88334e7i | 1.86206 | + | 0.896723i | ||||
\(850\) | 559205. | + | 2.45004e6i | 0.0265475 | + | 0.116312i | ||||
\(851\) | 2.40633e7 | 1.13902 | ||||||||
\(852\) | 1.48039e7 | 0.698678 | ||||||||
\(853\) | −601136. | − | 2.63375e6i | −0.0282879 | − | 0.123937i | 0.958813 | − | 0.284040i | \(-0.0916747\pi\) |
−0.987100 | + | 0.160102i | \(0.948818\pi\) | |||||||
\(854\) | −1.08425e6 | − | 3.92005e6i | −0.0508726 | − | 0.183927i | ||||
\(855\) | 4.98308e6 | − | 2.18323e7i | 0.233122 | − | 1.02137i | ||||
\(856\) | −8.88234e6 | + | 3.89161e7i | −0.414327 | + | 1.81528i | ||||
\(857\) | −1.03178e7 | + | 1.29381e7i | −0.479883 | + | 0.601754i | −0.961560 | − | 0.274595i | \(-0.911456\pi\) |
0.481677 | + | 0.876349i | \(0.340028\pi\) | |||||||
\(858\) | 1.63133e6 | − | 2.04562e6i | 0.0756526 | − | 0.0948653i | ||||
\(859\) | −2.82397e6 | + | 1.23726e7i | −0.130580 | + | 0.572108i | 0.866728 | + | 0.498781i | \(0.166219\pi\) |
−0.997308 | + | 0.0733271i | \(0.976638\pi\) | |||||||
\(860\) | 1.71635e6 | − | 7.51982e6i | 0.0791334 | − | 0.346706i | ||||
\(861\) | 2.11269e6 | + | 7.63831e6i | 0.0971241 | + | 0.351147i | ||||
\(862\) | −5.73320e6 | − | 2.51188e7i | −0.262802 | − | 1.15141i | ||||
\(863\) | −3.66266e6 | −0.167405 | −0.0837026 | − | 0.996491i | \(-0.526675\pi\) | ||||
−0.0837026 | + | 0.996491i | \(0.526675\pi\) | |||||||
\(864\) | 5.65233e6 | 0.257598 | ||||||||
\(865\) | 1.34220e6 | + | 5.88056e6i | 0.0609925 | + | 0.267226i | ||||
\(866\) | −1.35010e7 | − | 6.50174e6i | −0.611746 | − | 0.294601i | ||||
\(867\) | 6.93158e6 | − | 8.69193e6i | 0.313173 | − | 0.392707i | ||||
\(868\) | 2.99774e6 | + | 3.42728e6i | 0.135050 | + | 0.154401i | ||||
\(869\) | 1.85123e6 | + | 2.32137e6i | 0.0831593 | + | 0.104278i | ||||
\(870\) | −7.21167e6 | − | 3.15964e7i | −0.323026 | − | 1.41527i | ||||
\(871\) | 1.22678e7 | + | 1.53833e7i | 0.547924 | + | 0.687075i | ||||
\(872\) | 3.70812e7 | + | 1.78574e7i | 1.65144 | + | 0.795292i | ||||
\(873\) | −2.11302e6 | + | 2.64964e6i | −0.0938356 | + | 0.117666i | ||||
\(874\) | −9.34890e6 | + | 4.50219e6i | −0.413983 | + | 0.199363i | ||||
\(875\) | −1.56806e7 | − | 1.79274e7i | −0.692376 | − | 0.791584i | ||||
\(876\) | 1.07671e7 | + | 5.18516e6i | 0.474066 | + | 0.228298i | ||||
\(877\) | 2.17244e7 | − | 1.04619e7i | 0.953779 | − | 0.459316i | 0.108770 | − | 0.994067i | \(-0.465309\pi\) |
0.845010 | + | 0.534751i | \(0.179595\pi\) | |||||||
\(878\) | −1.36294e6 | + | 5.97144e6i | −0.0596680 | + | 0.261423i | ||||
\(879\) | −1.26178e7 | + | 6.07640e6i | −0.550821 | + | 0.265261i | ||||
\(880\) | 1.19971e6 | + | 1.50439e6i | 0.0522240 | + | 0.0654868i | ||||
\(881\) | 1.83991e7 | 0.798650 | 0.399325 | − | 0.916809i | \(-0.369244\pi\) | ||||
0.399325 | + | 0.916809i | \(0.369244\pi\) | |||||||
\(882\) | −7.83570e6 | − | 2.40233e7i | −0.339161 | − | 1.03983i | ||||
\(883\) | 1.58794e7 | 0.685383 | 0.342691 | − | 0.939448i | \(-0.388661\pi\) | ||||
0.342691 | + | 0.939448i | \(0.388661\pi\) | |||||||
\(884\) | 3.23520e6 | + | 4.05682e6i | 0.139242 | + | 0.174604i | ||||
\(885\) | 3.93860e7 | − | 1.89673e7i | 1.69038 | − | 0.814043i | ||||
\(886\) | 484806. | − | 2.12408e6i | 0.0207484 | − | 0.0909046i | ||||
\(887\) | 2.08665e7 | − | 1.00488e7i | 0.890512 | − | 0.428848i | 0.0680594 | − | 0.997681i | \(-0.478319\pi\) |
0.822453 | + | 0.568833i | \(0.192605\pi\) | |||||||
\(888\) | −6.25891e7 | − | 3.01413e7i | −2.66358 | − | 1.28271i | ||||
\(889\) | 2.31545e7 | + | 9.88122e6i | 0.982609 | + | 0.419330i | ||||
\(890\) | −1.64148e7 | + | 7.90493e6i | −0.694639 | + | 0.334521i | ||||
\(891\) | 1.29506e6 | − | 1.62395e6i | 0.0546505 | − | 0.0685296i | ||||
\(892\) | 4.23061e6 | + | 2.03736e6i | 0.178029 | + | 0.0857343i | ||||
\(893\) | −1.35720e7 | − | 1.70188e7i | −0.569529 | − | 0.714166i | ||||
\(894\) | −4.14505e6 | − | 1.81606e7i | −0.173455 | − | 0.759954i | ||||
\(895\) | −696632. | − | 873549.i | −0.0290701 | − | 0.0364527i | ||||
\(896\) | 5.03869e6 | − | 6.94342e6i | 0.209676 | − | 0.288937i | ||||
\(897\) | 9.56836e6 | − | 1.19983e7i | 0.397060 | − | 0.497898i | ||||
\(898\) | 1.89087e7 | + | 9.10593e6i | 0.782474 | + | 0.376820i | ||||
\(899\) | 4.58933e6 | + | 2.01072e7i | 0.189387 | + | 0.829758i | ||||
\(900\) | 1.13850e6 | 0.0468519 | ||||||||
\(901\) | −1.39220e7 | −0.571332 | ||||||||
\(902\) | −158100. | − | 692681.i | −0.00647017 | − | 0.0283476i | ||||
\(903\) | 2.82989e7 | − | 3.89964e7i | 1.15492 | − | 1.59150i | ||||
\(904\) | −2.74790e6 | + | 1.20393e7i | −0.111835 | + | 0.489983i | ||||
\(905\) | 539038. | − | 2.36168e6i | 0.0218775 | − | 0.0958516i | ||||
\(906\) | −4.89284e6 | + | 6.13543e6i | −0.198034 | + | 0.248327i | ||||
\(907\) | −2.22229e7 | + | 2.78666e7i | −0.896978 | + | 1.12477i | 0.0946325 | + | 0.995512i | \(0.469832\pi\) |
−0.991610 | + | 0.129262i | \(0.958739\pi\) | |||||||
\(908\) | 2.68315e6 | − | 1.17556e7i | 0.108001 | − | 0.473185i | ||||
\(909\) | 8.20543e6 | − | 3.59503e7i | 0.329376 | − | 1.44309i | ||||
\(910\) | 1.19564e7 | + | 5.10242e6i | 0.478627 | + | 0.204255i | ||||
\(911\) | −2.79437e6 | − | 1.22429e7i | −0.111555 | − | 0.488754i | −0.999581 | − | 0.0289600i | \(-0.990780\pi\) |
0.888026 | − | 0.459794i | \(-0.152077\pi\) | |||||||
\(912\) | 2.03579e7 | 0.810488 | ||||||||
\(913\) | 4.88917e6 | 0.194115 | ||||||||
\(914\) | 1.90844e6 | + | 8.36143e6i | 0.0755638 | + | 0.331067i | ||||
\(915\) | −7.35561e6 | − | 3.54227e6i | −0.290446 | − | 0.139872i | ||||
\(916\) | 4.63310e6 | − | 5.80973e6i | 0.182446 | − | 0.228779i | ||||
\(917\) | −3.00370e7 | + | 1.61855e7i | −1.17959 | + | 0.635627i | ||||
\(918\) | 7.04468e6 | + | 8.83376e6i | 0.275902 | + | 0.345970i | ||||
\(919\) | −1.10489e7 | − | 4.84082e7i | −0.431547 | − | 1.89073i | −0.454032 | − | 0.890985i | \(-0.650015\pi\) |
0.0224850 | − | 0.999747i | \(-0.492842\pi\) | |||||||
\(920\) | 1.03544e7 | + | 1.29840e7i | 0.403323 | + | 0.505752i | ||||
\(921\) | 1.51121e7 | + | 7.27761e6i | 0.587051 | + | 0.282709i | ||||
\(922\) | 1.82937e7 | − | 2.29396e7i | 0.708721 | − | 0.888708i | ||||
\(923\) | −2.42327e7 | + | 1.16699e7i | −0.936263 | + | 0.450881i | ||||
\(924\) | −442514. | − | 1.59989e6i | −0.0170509 | − | 0.0616466i | ||||
\(925\) | −5.16878e6 | − | 2.48915e6i | −0.198625 | − | 0.0956527i | ||||
\(926\) | 258206. | − | 124345.i | 0.00989553 | − | 0.00476544i | ||||
\(927\) | −1.33328e7 | + | 5.84149e7i | −0.509592 | + | 2.23267i | ||||
\(928\) | −1.62233e7 | + | 7.81274e6i | −0.618401 | + | 0.297806i | ||||
\(929\) | 2.13828e7 | + | 2.68132e7i | 0.812879 | + | 1.01932i | 0.999321 | + | 0.0368524i | \(0.0117331\pi\) |
−0.186441 | + | 0.982466i | \(0.559695\pi\) | |||||||
\(930\) | −2.20631e7 | −0.836486 | ||||||||
\(931\) | 7.05326e6 | + | 2.16245e7i | 0.266696 | + | 0.817658i | ||||
\(932\) | −9.44731e6 | −0.356261 | ||||||||
\(933\) | −1.60078e7 | − | 2.00731e7i | −0.602042 | − | 0.754936i | ||||
\(934\) | 1.77029e7 | − | 8.52525e6i | 0.664013 | − | 0.319772i | ||||
\(935\) | 925259. | − | 4.05382e6i | 0.0346126 | − | 0.151648i | ||||
\(936\) | −2.25668e7 | + | 1.08676e7i | −0.841939 | + | 0.405456i | ||||
\(937\) | −3.35146e7 | − | 1.61398e7i | −1.24706 | − | 0.600550i | −0.310334 | − | 0.950627i | \(-0.600441\pi\) |
−0.936721 | + | 0.350077i | \(0.886155\pi\) | |||||||
\(938\) | −3.01023e7 | + | 1.36895e6i | −1.11710 | + | 0.0508019i | ||||
\(939\) | −1.13265e7 | + | 5.45455e6i | −0.419210 | + | 0.201881i | ||||
\(940\) | −4.92107e6 | + | 6.17083e6i | −0.181652 | + | 0.227784i | ||||
\(941\) | 3.79058e7 | + | 1.82545e7i | 1.39550 | + | 0.672040i | 0.972244 | − | 0.233968i | \(-0.0751712\pi\) |
0.423261 | + | 0.906008i | \(0.360885\pi\) | |||||||
\(942\) | 2.21776e7 | + | 2.78099e7i | 0.814306 | + | 1.02111i | ||||
\(943\) | −927315. | − | 4.06283e6i | −0.0339585 | − | 0.148782i | ||||
\(944\) | 1.40083e7 | + | 1.75659e7i | 0.511630 | + | 0.641564i | ||||
\(945\) | −1.07853e7 | − | 4.60265e6i | −0.392874 | − | 0.167660i | ||||
\(946\) | −2.69324e6 | + | 3.37721e6i | −0.0978469 | + | 0.122696i | ||||
\(947\) | 2.26756e7 | + | 1.09200e7i | 0.821643 | + | 0.395682i | 0.796974 | − | 0.604013i | \(-0.206433\pi\) |
0.0246688 | + | 0.999696i | \(0.492147\pi\) | |||||||
\(948\) | −2.53457e6 | − | 1.11047e7i | −0.0915974 | − | 0.401314i | ||||
\(949\) | −2.17123e7 | −0.782600 | ||||||||
\(950\) | 2.47385e6 | 0.0889334 | ||||||||
\(951\) | 980843. | + | 4.29735e6i | 0.0351680 | + | 0.154081i | ||||
\(952\) | −3.50399e7 | + | 1.59349e6i | −1.25306 | + | 0.0569846i | ||||
\(953\) | 5.87021e6 | − | 2.57191e7i | 0.209373 | − | 0.917324i | −0.755612 | − | 0.655020i | \(-0.772660\pi\) |
0.964985 | − | 0.262305i | \(-0.0844826\pi\) | |||||||
\(954\) | 3.38792e6 | − | 1.48434e7i | 0.120521 | − | 0.528036i | ||||
\(955\) | −1.24153e7 | + | 1.55682e7i | −0.440502 | + | 0.552372i | ||||
\(956\) | 2.36903e6 | − | 2.97067e6i | 0.0838350 | − | 0.105126i | ||||
\(957\) | 1.67309e6 | − | 7.33027e6i | 0.0590525 | − | 0.258726i | ||||
\(958\) | −2.40943e6 | + | 1.05564e7i | −0.0848203 | + | 0.371622i | ||||
\(959\) | 1.77006e7 | − | 9.53801e6i | 0.621500 | − | 0.334897i | ||||
\(960\) | −9.89396e6 | − | 4.33483e7i | −0.346491 | − | 1.51808i | ||||
\(961\) | −1.45888e7 | −0.509577 | ||||||||
\(962\) | 2.85942e7 | 0.996186 | ||||||||
\(963\) | 1.42654e7 | + | 6.25007e7i | 0.495698 | + | 2.17180i | ||||
\(964\) | −5.89568e6 | − | 2.83921e6i | −0.204334 | − | 0.0984023i | ||||
\(965\) | −1.66956e7 | + | 2.09356e7i | −0.577143 | + | 0.723714i | ||||
\(966\) | 6.26543e6 | + | 2.26523e7i | 0.216027 | + | 0.781035i | ||||
\(967\) | 4.95026e6 | + | 6.20743e6i | 0.170240 | + | 0.213474i | 0.859631 | − | 0.510915i | \(-0.170693\pi\) |
−0.689391 | + | 0.724389i | \(0.742122\pi\) | |||||||
\(968\) | −6.90669e6 | − | 3.02602e7i | −0.236909 | − | 1.03797i | ||||
\(969\) | −2.74289e7 | − | 3.43947e7i | −0.938423 | − | 1.17675i | ||||
\(970\) | 2.40569e6 | + | 1.15852e6i | 0.0820938 | + | 0.0395343i | ||||
\(971\) | −3.29511e7 | + | 4.13194e7i | −1.12156 | + | 1.40639i | −0.219053 | + | 0.975713i | \(0.570297\pi\) |
−0.902506 | + | 0.430678i | \(0.858275\pi\) | |||||||
\(972\) | −1.07248e7 | + | 5.16477e6i | −0.364101 | + | 0.175342i | ||||
\(973\) | 6.50488e6 | − | 3.59606e7i | 0.220271 | − | 1.21771i | ||||
\(974\) | 3.33115e7 | + | 1.60420e7i | 1.12512 | + | 0.541827i | ||||
\(975\) | −3.29641e6 | + | 1.58747e6i | −0.111053 | + | 0.0534802i | ||||
\(976\) | 933693. | − | 4.09078e6i | 0.0313747 | − | 0.137462i | ||||
\(977\) | −1.30611e7 | + | 6.28990e6i | −0.437768 | + | 0.210818i | −0.639769 | − | 0.768567i | \(-0.720970\pi\) |
0.202001 | + | 0.979385i | \(0.435256\pi\) | |||||||
\(978\) | −1.75521e7 | − | 2.20096e7i | −0.586787 | − | 0.735808i | ||||
\(979\) | −4.22676e6 | −0.140945 | ||||||||
\(980\) | 7.07515e6 | − | 4.23807e6i | 0.235326 | − | 0.140962i | ||||
\(981\) | 6.60998e7 | 2.19294 | ||||||||
\(982\) | 1.35786e7 | + | 1.70271e7i | 0.449342 | + | 0.563458i | ||||
\(983\) | 2.35523e6 | − | 1.13422e6i | 0.0777408 | − | 0.0374380i | −0.394609 | − | 0.918849i | \(-0.629120\pi\) |
0.472350 | + | 0.881411i | \(0.343406\pi\) | |||||||
\(984\) | −2.67708e6 | + | 1.17290e7i | −0.0881401 | + | 0.386167i | ||||
\(985\) | −5.32004e6 | + | 2.56200e6i | −0.174713 | + | 0.0841372i | ||||
\(986\) | −3.24298e7 | − | 1.56174e7i | −1.06231 | − | 0.511583i | ||||
\(987\) | −4.34039e7 | + | 2.33883e7i | −1.41820 | + | 0.764198i | ||||
\(988\) | 4.60209e6 | − | 2.21625e6i | 0.149990 | − | 0.0722315i | ||||
\(989\) | −1.57968e7 | + | 1.98086e7i | −0.513546 | + | 0.643967i | ||||
\(990\) | 4.09697e6 | + | 1.97300e6i | 0.132854 | + | 0.0639792i | ||||
\(991\) | −2.75347e7 | − | 3.45274e7i | −0.890627 | − | 1.11681i | −0.992528 | − | 0.122016i | \(-0.961064\pi\) |
0.101902 | − | 0.994794i | \(-0.467507\pi\) | |||||||
\(992\) | 2.72773e6 | + | 1.19510e7i | 0.0880081 | + | 0.385589i | ||||
\(993\) | 4.96415e7 | + | 6.22485e7i | 1.59761 | + | 2.00334i | ||||
\(994\) | 7.33206e6 | − | 4.05334e7i | 0.235375 | − | 1.30121i | ||||
\(995\) | −2.10867e7 | + | 2.64419e7i | −0.675229 | + | 0.846711i | ||||
\(996\) | −1.68984e7 | − | 8.13786e6i | −0.539757 | − | 0.259933i | ||||
\(997\) | 5.65935e6 | + | 2.47952e7i | 0.180314 | + | 0.790006i | 0.981480 | + | 0.191564i | \(0.0613560\pi\) |
−0.801166 | + | 0.598442i | \(0.795787\pi\) | |||||||
\(998\) | −2.26178e7 | −0.718827 | ||||||||
\(999\) | −2.57935e7 | −0.817705 |
(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 | 49.6.e.a.8.16 | ✓ | 138 | |
49.43 | even | 7 | inner | 49.6.e.a.43.16 | yes | 138 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.6.e.a.8.16 | ✓ | 138 | 1.1 | even | 1 | trivial | |
49.6.e.a.43.16 | yes | 138 | 49.43 | even | 7 | inner |