Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,6,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), 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: | \(11.8684026662\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 33.3 | ||
Character | \(\chi\) | \(=\) | 74.33 |
Dual form | 74.6.f.a.9.3 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.694593 | − | 3.93923i | 0.122788 | − | 0.696364i | ||||
\(3\) | −2.84323 | − | 16.1248i | −0.182394 | − | 1.03441i | −0.929259 | − | 0.369430i | \(-0.879553\pi\) |
0.746865 | − | 0.664976i | \(-0.231558\pi\) | |||||||
\(4\) | −15.0351 | − | 5.47232i | −0.469846 | − | 0.171010i | ||||
\(5\) | −37.4537 | + | 31.4274i | −0.669992 | + | 0.562190i | −0.913063 | − | 0.407818i | \(-0.866290\pi\) |
0.243071 | + | 0.970009i | \(0.421845\pi\) | |||||||
\(6\) | −65.4941 | −0.742719 | ||||||||
\(7\) | −21.7905 | + | 18.2844i | −0.168082 | + | 0.141038i | −0.722949 | − | 0.690902i | \(-0.757214\pi\) |
0.554867 | + | 0.831939i | \(0.312769\pi\) | |||||||
\(8\) | −32.0000 | + | 55.4256i | −0.176777 | + | 0.306186i | ||||
\(9\) | −23.5794 | + | 8.58219i | −0.0970344 | + | 0.0353176i | ||||
\(10\) | 97.7847 | + | 169.368i | 0.309222 | + | 0.535589i | ||||
\(11\) | −281.728 | + | 487.967i | −0.702018 | + | 1.21593i | 0.265739 | + | 0.964045i | \(0.414384\pi\) |
−0.967757 | + | 0.251886i | \(0.918949\pi\) | |||||||
\(12\) | −45.4918 | + | 257.997i | −0.0911968 | + | 0.517203i | ||||
\(13\) | −128.358 | − | 46.7185i | −0.210651 | − | 0.0766708i | 0.234539 | − | 0.972107i | \(-0.424642\pi\) |
−0.445191 | + | 0.895436i | \(0.646864\pi\) | |||||||
\(14\) | 56.8909 | + | 98.5379i | 0.0775752 | + | 0.134364i | ||||
\(15\) | 613.250 | + | 514.578i | 0.703735 | + | 0.590504i | ||||
\(16\) | 196.107 | + | 164.554i | 0.191511 | + | 0.160697i | ||||
\(17\) | 673.897 | − | 245.278i | 0.565550 | − | 0.205843i | −0.0433920 | − | 0.999058i | \(-0.513816\pi\) |
0.608942 | + | 0.793215i | \(0.291594\pi\) | |||||||
\(18\) | 17.4292 | + | 98.8457i | 0.0126793 | + | 0.0719079i | ||||
\(19\) | −166.435 | − | 943.901i | −0.105770 | − | 0.599850i | −0.990910 | − | 0.134526i | \(-0.957049\pi\) |
0.885140 | − | 0.465324i | \(-0.154062\pi\) | |||||||
\(20\) | 735.100 | − | 267.555i | 0.410934 | − | 0.149568i | ||||
\(21\) | 356.787 | + | 299.380i | 0.176547 | + | 0.148141i | ||||
\(22\) | 1726.53 | + | 1448.73i | 0.760531 | + | 0.638162i | ||||
\(23\) | 1453.21 | + | 2517.03i | 0.572807 | + | 0.992131i | 0.996276 | + | 0.0862206i | \(0.0274790\pi\) |
−0.423469 | + | 0.905911i | \(0.639188\pi\) | |||||||
\(24\) | 984.710 | + | 358.405i | 0.348964 | + | 0.127012i | ||||
\(25\) | −127.551 | + | 723.379i | −0.0408164 | + | 0.231481i | ||||
\(26\) | −273.191 | + | 473.181i | −0.0792563 | + | 0.137276i | ||||
\(27\) | −1783.96 | − | 3089.90i | −0.470950 | − | 0.815710i | ||||
\(28\) | 427.680 | − | 155.663i | 0.103092 | − | 0.0375223i | ||||
\(29\) | −4248.51 | + | 7358.64i | −0.938084 | + | 1.62481i | −0.169045 | + | 0.985608i | \(0.554068\pi\) |
−0.769039 | + | 0.639202i | \(0.779265\pi\) | |||||||
\(30\) | 2453.00 | − | 2058.31i | 0.497616 | − | 0.417549i | ||||
\(31\) | −2026.24 | −0.378693 | −0.189346 | − | 0.981910i | \(-0.560637\pi\) | ||||
−0.189346 | + | 0.981910i | \(0.560637\pi\) | |||||||
\(32\) | 784.430 | − | 658.215i | 0.135419 | − | 0.113630i | ||||
\(33\) | 8669.38 | + | 3155.40i | 1.38581 | + | 0.504393i | ||||
\(34\) | −498.124 | − | 2825.00i | −0.0738993 | − | 0.419104i | ||||
\(35\) | 241.504 | − | 1369.64i | 0.0333237 | − | 0.188988i | ||||
\(36\) | 401.482 | 0.0516309 | ||||||||
\(37\) | −6747.08 | + | 4880.66i | −0.810236 | + | 0.586104i | ||||
\(38\) | −3833.85 | −0.430701 | ||||||||
\(39\) | −388.374 | + | 2202.58i | −0.0408873 | + | 0.231883i | ||||
\(40\) | −543.364 | − | 3081.57i | −0.0536959 | − | 0.304525i | ||||
\(41\) | −3268.60 | − | 1189.67i | −0.303670 | − | 0.110527i | 0.185691 | − | 0.982608i | \(-0.440548\pi\) |
−0.489361 | + | 0.872081i | \(0.662770\pi\) | |||||||
\(42\) | 1427.15 | − | 1197.52i | 0.124838 | − | 0.104751i | ||||
\(43\) | −3863.03 | −0.318609 | −0.159304 | − | 0.987230i | \(-0.550925\pi\) | ||||
−0.159304 | + | 0.987230i | \(0.550925\pi\) | |||||||
\(44\) | 6906.12 | − | 5794.92i | 0.537777 | − | 0.451248i | ||||
\(45\) | 613.419 | − | 1062.47i | 0.0451571 | − | 0.0782144i | ||||
\(46\) | 10924.6 | − | 3976.21i | 0.761218 | − | 0.277061i | ||||
\(47\) | −6989.85 | − | 12106.8i | −0.461555 | − | 0.799437i | 0.537484 | − | 0.843274i | \(-0.319375\pi\) |
−0.999039 | + | 0.0438375i | \(0.986042\pi\) | |||||||
\(48\) | 2095.81 | − | 3630.05i | 0.131295 | − | 0.227410i | ||||
\(49\) | −2778.00 | + | 15754.8i | −0.165288 | + | 0.937396i | ||||
\(50\) | 2760.96 | + | 1004.91i | 0.156184 | + | 0.0568462i | ||||
\(51\) | −5871.11 | − | 10169.1i | −0.316078 | − | 0.547463i | ||||
\(52\) | 1674.21 | + | 1404.83i | 0.0858623 | + | 0.0720470i | ||||
\(53\) | −6094.48 | − | 5113.88i | −0.298021 | − | 0.250070i | 0.481499 | − | 0.876447i | \(-0.340093\pi\) |
−0.779520 | + | 0.626377i | \(0.784537\pi\) | |||||||
\(54\) | −13411.0 | + | 4881.19i | −0.625858 | + | 0.227794i | ||||
\(55\) | −4783.78 | − | 27130.2i | −0.213238 | − | 1.20933i | ||||
\(56\) | −316.128 | − | 1792.85i | −0.0134708 | − | 0.0763966i | ||||
\(57\) | −14747.0 | + | 5367.46i | −0.601196 | + | 0.218817i | ||||
\(58\) | 26036.4 | + | 21847.1i | 1.01627 | + | 0.852755i | ||||
\(59\) | −5751.29 | − | 4825.91i | −0.215097 | − | 0.180488i | 0.528872 | − | 0.848701i | \(-0.322615\pi\) |
−0.743970 | + | 0.668213i | \(0.767059\pi\) | |||||||
\(60\) | −6404.32 | − | 11092.6i | −0.229665 | − | 0.397792i | ||||
\(61\) | −41099.4 | − | 14959.0i | −1.41420 | − | 0.514727i | −0.481840 | − | 0.876259i | \(-0.660032\pi\) |
−0.932360 | + | 0.361532i | \(0.882254\pi\) | |||||||
\(62\) | −1407.41 | + | 7981.84i | −0.0464989 | + | 0.263708i | ||||
\(63\) | 356.886 | − | 618.144i | 0.0113286 | − | 0.0196218i | ||||
\(64\) | −2048.00 | − | 3547.24i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 6275.72 | − | 2284.18i | 0.184238 | − | 0.0670573i | ||||
\(66\) | 18451.5 | − | 31959.0i | 0.521402 | − | 0.903094i | ||||
\(67\) | −984.387 | + | 825.999i | −0.0267904 | + | 0.0224798i | −0.656085 | − | 0.754687i | \(-0.727789\pi\) |
0.629294 | + | 0.777167i | \(0.283344\pi\) | |||||||
\(68\) | −11474.3 | −0.300923 | ||||||||
\(69\) | 36454.8 | − | 30589.2i | 0.921790 | − | 0.773473i | ||||
\(70\) | −5227.57 | − | 1902.68i | −0.127513 | − | 0.0464109i | ||||
\(71\) | 2172.00 | + | 12318.0i | 0.0511344 | + | 0.289997i | 0.999642 | − | 0.0267569i | \(-0.00851801\pi\) |
−0.948508 | + | 0.316754i | \(0.897407\pi\) | |||||||
\(72\) | 278.867 | − | 1581.53i | 0.00633965 | − | 0.0359539i | ||||
\(73\) | −7404.31 | −0.162621 | −0.0813107 | − | 0.996689i | \(-0.525911\pi\) | ||||
−0.0813107 | + | 0.996689i | \(0.525911\pi\) | |||||||
\(74\) | 14539.6 | + | 29968.4i | 0.308655 | + | 0.636186i | ||||
\(75\) | 12027.0 | 0.246890 | ||||||||
\(76\) | −2662.96 | + | 15102.4i | −0.0528849 | + | 0.299925i | ||||
\(77\) | −2783.19 | − | 15784.3i | −0.0534954 | − | 0.303387i | ||||
\(78\) | 8406.69 | + | 3059.79i | 0.156455 | + | 0.0569449i | ||||
\(79\) | 8188.83 | − | 6871.24i | 0.147623 | − | 0.123870i | −0.565985 | − | 0.824415i | \(-0.691504\pi\) |
0.713608 | + | 0.700545i | \(0.247060\pi\) | |||||||
\(80\) | −12516.4 | −0.218653 | ||||||||
\(81\) | −49422.8 | + | 41470.6i | −0.836979 | + | 0.702309i | ||||
\(82\) | −6956.74 | + | 12049.4i | −0.114254 | + | 0.197894i | ||||
\(83\) | 60562.2 | − | 22042.9i | 0.964954 | − | 0.351215i | 0.188981 | − | 0.981981i | \(-0.439481\pi\) |
0.775973 | + | 0.630766i | \(0.217259\pi\) | |||||||
\(84\) | −3726.02 | − | 6453.66i | −0.0576165 | − | 0.0997947i | ||||
\(85\) | −17531.5 | + | 30365.4i | −0.263191 | + | 0.455860i | ||||
\(86\) | −2683.24 | + | 15217.4i | −0.0391212 | + | 0.221868i | ||||
\(87\) | 130736. | + | 47584.0i | 1.85181 | + | 0.674005i | ||||
\(88\) | −18030.6 | − | 31229.9i | −0.248201 | − | 0.429896i | ||||
\(89\) | −14024.5 | − | 11767.9i | −0.187677 | − | 0.157480i | 0.544108 | − | 0.839015i | \(-0.316868\pi\) |
−0.731785 | + | 0.681535i | \(0.761313\pi\) | |||||||
\(90\) | −3759.25 | − | 3154.38i | −0.0489209 | − | 0.0410495i | ||||
\(91\) | 3651.20 | − | 1328.93i | 0.0462202 | − | 0.0168228i | ||||
\(92\) | −8075.11 | − | 45796.2i | −0.0994669 | − | 0.564105i | ||||
\(93\) | 5761.08 | + | 32672.7i | 0.0690712 | + | 0.391722i | ||||
\(94\) | −52546.5 | + | 19125.4i | −0.613372 | + | 0.223249i | ||||
\(95\) | 35898.0 | + | 30122.0i | 0.408095 | + | 0.342432i | ||||
\(96\) | −12843.9 | − | 10777.3i | −0.142239 | − | 0.119353i | ||||
\(97\) | 47635.3 | + | 82506.8i | 0.514043 | + | 0.890349i | 0.999867 | + | 0.0162923i | \(0.00518624\pi\) |
−0.485824 | + | 0.874057i | \(0.661480\pi\) | |||||||
\(98\) | 60132.3 | + | 21886.4i | 0.632474 | + | 0.230202i | ||||
\(99\) | 2455.14 | − | 13923.8i | 0.0251761 | − | 0.142781i | ||||
\(100\) | 5876.31 | − | 10178.1i | 0.0587631 | − | 0.101781i | ||||
\(101\) | 28822.8 | + | 49922.5i | 0.281146 | + | 0.486959i | 0.971667 | − | 0.236353i | \(-0.0759521\pi\) |
−0.690521 | + | 0.723312i | \(0.742619\pi\) | |||||||
\(102\) | −44136.3 | + | 16064.3i | −0.420045 | + | 0.152884i | ||||
\(103\) | −35782.9 | + | 61977.7i | −0.332339 | + | 0.575629i | −0.982970 | − | 0.183765i | \(-0.941171\pi\) |
0.650631 | + | 0.759394i | \(0.274505\pi\) | |||||||
\(104\) | 6696.85 | − | 5619.33i | 0.0607138 | − | 0.0509449i | ||||
\(105\) | −22771.7 | −0.201569 | ||||||||
\(106\) | −24377.9 | + | 20455.5i | −0.210733 | + | 0.176826i | ||||
\(107\) | 51451.7 | + | 18726.9i | 0.434451 | + | 0.158127i | 0.549982 | − | 0.835177i | \(-0.314635\pi\) |
−0.115531 | + | 0.993304i | \(0.536857\pi\) | |||||||
\(108\) | 9912.99 | + | 56219.3i | 0.0817796 | + | 0.463795i | ||||
\(109\) | −6810.96 | + | 38626.9i | −0.0549088 | + | 0.311403i | −0.999876 | − | 0.0157624i | \(-0.994982\pi\) |
0.944967 | + | 0.327166i | \(0.106094\pi\) | |||||||
\(110\) | −110195. | −0.868319 | ||||||||
\(111\) | 97883.2 | + | 94918.3i | 0.754051 | + | 0.731211i | ||||
\(112\) | −7282.03 | −0.0548539 | ||||||||
\(113\) | 18470.2 | − | 104750.i | 0.136074 | − | 0.771714i | −0.838032 | − | 0.545621i | \(-0.816294\pi\) |
0.974106 | − | 0.226093i | \(-0.0725952\pi\) | |||||||
\(114\) | 10900.5 | + | 61820.0i | 0.0785571 | + | 0.445520i | ||||
\(115\) | −133532. | − | 48601.6i | −0.941543 | − | 0.342694i | ||||
\(116\) | 104146. | − | 87388.5i | 0.718614 | − | 0.602989i | ||||
\(117\) | 3427.54 | 0.0231483 | ||||||||
\(118\) | −23005.2 | + | 19303.6i | −0.152097 | + | 0.127624i | ||||
\(119\) | −10199.8 | + | 17666.5i | −0.0660272 | + | 0.114362i | ||||
\(120\) | −48144.8 | + | 17523.3i | −0.305208 | + | 0.111087i | ||||
\(121\) | −78215.8 | − | 135474.i | −0.485658 | − | 0.841185i | ||||
\(122\) | −87474.1 | + | 151510.i | −0.532084 | + | 0.921596i | ||||
\(123\) | −9889.83 | + | 56088.0i | −0.0589421 | + | 0.334277i | ||||
\(124\) | 30464.7 | + | 11088.3i | 0.177928 | + | 0.0647603i | ||||
\(125\) | −94350.9 | − | 163421.i | −0.540096 | − | 0.935474i | ||||
\(126\) | −2187.12 | − | 1835.21i | −0.0122729 | − | 0.0102982i | ||||
\(127\) | −85552.2 | − | 71786.8i | −0.470676 | − | 0.394944i | 0.376365 | − | 0.926471i | \(-0.377174\pi\) |
−0.847041 | + | 0.531528i | \(0.821618\pi\) | |||||||
\(128\) | −15395.9 | + | 5603.66i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 10983.5 | + | 62290.6i | 0.0581121 | + | 0.329570i | ||||
\(130\) | −4638.83 | − | 26308.1i | −0.0240741 | − | 0.136531i | ||||
\(131\) | 285943. | − | 104075.i | 1.45580 | − | 0.529867i | 0.511593 | − | 0.859228i | \(-0.329056\pi\) |
0.944204 | + | 0.329361i | \(0.106833\pi\) | |||||||
\(132\) | −113078. | − | 94883.3i | −0.564861 | − | 0.473975i | ||||
\(133\) | 20885.4 | + | 17524.9i | 0.102379 | + | 0.0859065i | ||||
\(134\) | 2570.05 | + | 4451.46i | 0.0123646 | + | 0.0214161i | ||||
\(135\) | 163923. | + | 59663.3i | 0.774117 | + | 0.281756i | ||||
\(136\) | −7969.99 | + | 45200.1i | −0.0369497 | + | 0.209552i | ||||
\(137\) | 156934. | − | 271818.i | 0.714357 | − | 1.23730i | −0.248849 | − | 0.968542i | \(-0.580052\pi\) |
0.963207 | − | 0.268761i | \(-0.0866142\pi\) | |||||||
\(138\) | −95176.7 | − | 164851.i | −0.425435 | − | 0.736874i | ||||
\(139\) | −64451.0 | + | 23458.2i | −0.282939 | + | 0.102981i | −0.479591 | − | 0.877492i | \(-0.659215\pi\) |
0.196653 | + | 0.980473i | \(0.436993\pi\) | |||||||
\(140\) | −11126.1 | + | 19271.0i | −0.0479760 | + | 0.0830968i | ||||
\(141\) | −175345. | + | 147132.i | −0.742757 | + | 0.623247i | ||||
\(142\) | 50032.1 | 0.208223 | ||||||||
\(143\) | 58959.1 | − | 49472.6i | 0.241107 | − | 0.202313i | ||||
\(144\) | −6036.32 | − | 2197.04i | −0.0242586 | − | 0.00882941i | ||||
\(145\) | −72140.3 | − | 409128.i | −0.284943 | − | 1.61599i | ||||
\(146\) | −5142.98 | + | 29167.3i | −0.0199679 | + | 0.113244i | ||||
\(147\) | 261941. | 0.999795 | ||||||||
\(148\) | 128151. | − | 36459.0i | 0.480916 | − | 0.136820i | ||||
\(149\) | 22866.9 | 0.0843804 | 0.0421902 | − | 0.999110i | \(-0.486566\pi\) | ||||
0.0421902 | + | 0.999110i | \(0.486566\pi\) | |||||||
\(150\) | 8353.86 | − | 47377.1i | 0.0303151 | − | 0.171925i | ||||
\(151\) | −77475.7 | − | 439387.i | −0.276518 | − | 1.56821i | −0.734099 | − | 0.679043i | \(-0.762395\pi\) |
0.457581 | − | 0.889168i | \(-0.348716\pi\) | |||||||
\(152\) | 57642.2 | + | 20980.1i | 0.202363 | + | 0.0736542i | ||||
\(153\) | −13785.0 | + | 11567.0i | −0.0476079 | + | 0.0399478i | ||||
\(154\) | −64111.0 | −0.217837 | ||||||||
\(155\) | 75890.3 | − | 63679.5i | 0.253721 | − | 0.212898i | ||||
\(156\) | 17892.4 | − | 30990.6i | 0.0588651 | − | 0.101957i | ||||
\(157\) | 99800.5 | − | 36324.4i | 0.323135 | − | 0.117611i | −0.175359 | − | 0.984504i | \(-0.556109\pi\) |
0.498494 | + | 0.866893i | \(0.333887\pi\) | |||||||
\(158\) | −21379.5 | − | 37030.4i | −0.0681326 | − | 0.118009i | ||||
\(159\) | −65132.2 | + | 112812.i | −0.204316 | + | 0.353886i | ||||
\(160\) | −8693.83 | + | 49305.2i | −0.0268480 | + | 0.152262i | ||||
\(161\) | −77688.5 | − | 28276.3i | −0.236207 | − | 0.0859722i | ||||
\(162\) | 129034. | + | 223493.i | 0.386292 | + | 0.669077i | ||||
\(163\) | −153561. | − | 128853.i | −0.452701 | − | 0.379861i | 0.387736 | − | 0.921770i | \(-0.373257\pi\) |
−0.840437 | + | 0.541909i | \(0.817702\pi\) | |||||||
\(164\) | 42633.4 | + | 35773.7i | 0.123777 | + | 0.103861i | ||||
\(165\) | −423866. | + | 154275.i | −1.21205 | + | 0.441149i | ||||
\(166\) | −44765.8 | − | 253879.i | −0.126089 | − | 0.715084i | ||||
\(167\) | 99376.8 | + | 563594.i | 0.275736 | + | 1.56378i | 0.736614 | + | 0.676314i | \(0.236424\pi\) |
−0.460878 | + | 0.887464i | \(0.652465\pi\) | |||||||
\(168\) | −28010.5 | + | 10195.0i | −0.0765681 | + | 0.0278685i | ||||
\(169\) | −270134. | − | 226669.i | −0.727549 | − | 0.610486i | ||||
\(170\) | 107439. | + | 90152.1i | 0.285128 | + | 0.239251i | ||||
\(171\) | 12025.2 | + | 20828.2i | 0.0314486 | + | 0.0544705i | ||||
\(172\) | 58081.0 | + | 21139.8i | 0.149697 | + | 0.0544853i | ||||
\(173\) | −94623.8 | + | 536639.i | −0.240373 | + | 1.36322i | 0.590625 | + | 0.806946i | \(0.298881\pi\) |
−0.830998 | + | 0.556276i | \(0.812230\pi\) | |||||||
\(174\) | 278253. | − | 481948.i | 0.696733 | − | 1.20678i | ||||
\(175\) | −10447.1 | − | 18095.0i | −0.0257871 | − | 0.0446645i | ||||
\(176\) | −135546. | + | 49334.6i | −0.329841 | + | 0.120052i | ||||
\(177\) | −61464.4 | + | 106459.i | −0.147466 | + | 0.255418i | ||||
\(178\) | −56097.8 | + | 47071.7i | −0.132708 | + | 0.111355i | ||||
\(179\) | −693481. | −1.61771 | −0.808857 | − | 0.588005i | \(-0.799914\pi\) | ||||
−0.808857 | + | 0.588005i | \(0.799914\pi\) | |||||||
\(180\) | −15037.0 | + | 12617.5i | −0.0345923 | + | 0.0290264i | ||||
\(181\) | −548218. | − | 199535.i | −1.24382 | − | 0.452713i | −0.365510 | − | 0.930807i | \(-0.619105\pi\) |
−0.878308 | + | 0.478095i | \(0.841328\pi\) | |||||||
\(182\) | −2698.86 | − | 15306.0i | −0.00603951 | − | 0.0342517i | ||||
\(183\) | −124355. | + | 705251.i | −0.274495 | + | 1.55674i | ||||
\(184\) | −186011. | −0.405036 | ||||||||
\(185\) | 99316.7 | − | 394842.i | 0.213350 | − | 0.848192i | ||||
\(186\) | 132707. | 0.281262 | ||||||||
\(187\) | −70167.8 | + | 397941.i | −0.146735 | + | 0.832175i | ||||
\(188\) | 38840.8 | + | 220277.i | 0.0801482 | + | 0.454543i | ||||
\(189\) | 95370.3 | + | 34711.9i | 0.194204 | + | 0.0706845i | ||||
\(190\) | 143592. | − | 120488.i | 0.288566 | − | 0.242136i | ||||
\(191\) | 898668. | 1.78244 | 0.891222 | − | 0.453567i | \(-0.149849\pi\) | ||||
0.891222 | + | 0.453567i | \(0.149849\pi\) | |||||||
\(192\) | −51375.5 | + | 43109.2i | −0.100578 | + | 0.0843950i | ||||
\(193\) | −133931. | + | 231975.i | −0.258814 | + | 0.448279i | −0.965925 | − | 0.258824i | \(-0.916665\pi\) |
0.707110 | + | 0.707103i | \(0.249998\pi\) | |||||||
\(194\) | 358100. | − | 130338.i | 0.683125 | − | 0.248637i | ||||
\(195\) | −54675.2 | − | 94700.2i | −0.102968 | − | 0.178346i | ||||
\(196\) | 127983. | − | 221673.i | 0.237964 | − | 0.412166i | ||||
\(197\) | −137138. | + | 777749.i | −0.251763 | + | 1.42782i | 0.552483 | + | 0.833524i | \(0.313681\pi\) |
−0.804246 | + | 0.594297i | \(0.797431\pi\) | |||||||
\(198\) | −53143.7 | − | 19342.7i | −0.0963361 | − | 0.0350635i | ||||
\(199\) | 93981.7 | + | 162781.i | 0.168233 | + | 0.291388i | 0.937799 | − | 0.347180i | \(-0.112861\pi\) |
−0.769566 | + | 0.638568i | \(0.779527\pi\) | |||||||
\(200\) | −36012.1 | − | 30217.7i | −0.0636610 | − | 0.0534179i | ||||
\(201\) | 16117.9 | + | 13524.5i | 0.0281396 | + | 0.0236119i | ||||
\(202\) | 216676. | − | 78863.7i | 0.373622 | − | 0.135987i | ||||
\(203\) | −41971.1 | − | 238030.i | −0.0714842 | − | 0.405407i | ||||
\(204\) | 32624.2 | + | 185021.i | 0.0548864 | + | 0.311276i | ||||
\(205\) | 159810. | − | 58165.9i | 0.265594 | − | 0.0966683i | ||||
\(206\) | 219290. | + | 184006.i | 0.360040 | + | 0.302110i | ||||
\(207\) | −55867.4 | − | 46878.3i | −0.0906217 | − | 0.0760407i | ||||
\(208\) | −17484.2 | − | 30283.6i | −0.0280213 | − | 0.0485343i | ||||
\(209\) | 507482. | + | 184708.i | 0.803628 | + | 0.292497i | ||||
\(210\) | −15817.1 | + | 89703.1i | −0.0247502 | + | 0.140365i | ||||
\(211\) | 360573. | − | 624531.i | 0.557554 | − | 0.965713i | −0.440145 | − | 0.897926i | \(-0.645073\pi\) |
0.997700 | − | 0.0677861i | \(-0.0215935\pi\) | |||||||
\(212\) | 63646.3 | + | 110239.i | 0.0972598 | + | 0.168459i | ||||
\(213\) | 192450. | − | 70045.9i | 0.290648 | − | 0.105787i | ||||
\(214\) | 109508. | − | 189673.i | 0.163459 | − | 0.283120i | ||||
\(215\) | 144685. | − | 121405.i | 0.213465 | − | 0.179119i | ||||
\(216\) | 228346. | 0.333012 | ||||||||
\(217\) | 44152.8 | − | 37048.6i | 0.0636515 | − | 0.0534100i | ||||
\(218\) | 147429. | + | 53659.9i | 0.210108 | + | 0.0764731i | ||||
\(219\) | 21052.2 | + | 119393.i | 0.0296611 | + | 0.168216i | ||||
\(220\) | −76540.5 | + | 434082.i | −0.106619 | + | 0.604666i | ||||
\(221\) | −97959.0 | −0.134916 | ||||||||
\(222\) | 441894. | − | 319655.i | 0.601777 | − | 0.435310i | ||||
\(223\) | 1.00256e6 | 1.35004 | 0.675022 | − | 0.737798i | \(-0.264134\pi\) | ||||
0.675022 | + | 0.737798i | \(0.264134\pi\) | |||||||
\(224\) | −5058.05 | + | 28685.6i | −0.00673539 | + | 0.0381983i | ||||
\(225\) | −3200.60 | − | 18151.5i | −0.00421478 | − | 0.0239032i | ||||
\(226\) | −399804. | − | 145517.i | −0.520686 | − | 0.189514i | ||||
\(227\) | 367289. | − | 308192.i | 0.473089 | − | 0.396969i | −0.374831 | − | 0.927093i | \(-0.622299\pi\) |
0.847920 | + | 0.530124i | \(0.177855\pi\) | |||||||
\(228\) | 251095. | 0.319890 | ||||||||
\(229\) | −869419. | + | 729529.i | −1.09557 | + | 0.919293i | −0.997119 | − | 0.0758486i | \(-0.975833\pi\) |
−0.0984517 | + | 0.995142i | \(0.531389\pi\) | |||||||
\(230\) | −284203. | + | 492254.i | −0.354250 | + | 0.613578i | ||||
\(231\) | −246604. | + | 89756.7i | −0.304068 | + | 0.110672i | ||||
\(232\) | −271905. | − | 470953.i | −0.331663 | − | 0.574457i | ||||
\(233\) | −771965. | + | 1.33708e6i | −0.931553 | + | 1.61350i | −0.150885 | + | 0.988551i | \(0.548212\pi\) |
−0.780668 | + | 0.624946i | \(0.785121\pi\) | |||||||
\(234\) | 2380.75 | − | 13501.9i | 0.00284232 | − | 0.0161196i | ||||
\(235\) | 642281. | + | 233771.i | 0.758674 | + | 0.276135i | ||||
\(236\) | 60062.2 | + | 104031.i | 0.0701974 | + | 0.121586i | ||||
\(237\) | −134080. | − | 112507.i | −0.155058 | − | 0.130109i | ||||
\(238\) | 62507.8 | + | 52450.3i | 0.0715306 | + | 0.0600213i | ||||
\(239\) | 704547. | − | 256434.i | 0.797839 | − | 0.290390i | 0.0892485 | − | 0.996009i | \(-0.471553\pi\) |
0.708591 | + | 0.705620i | \(0.249331\pi\) | |||||||
\(240\) | 35587.2 | + | 201825.i | 0.0398809 | + | 0.226176i | ||||
\(241\) | −243008. | − | 1.37817e6i | −0.269512 | − | 1.52848i | −0.755871 | − | 0.654720i | \(-0.772786\pi\) |
0.486359 | − | 0.873759i | \(-0.338325\pi\) | |||||||
\(242\) | −587990. | + | 214011.i | −0.645404 | + | 0.234908i | ||||
\(243\) | 145063. | + | 121722.i | 0.157594 | + | 0.132237i | ||||
\(244\) | 536073. | + | 449818.i | 0.576433 | + | 0.483685i | ||||
\(245\) | −391086. | − | 677381.i | −0.416253 | − | 0.720972i | ||||
\(246\) | 214074. | + | 77916.6i | 0.225542 | + | 0.0820904i | ||||
\(247\) | −22734.3 | + | 128933.i | −0.0237105 | + | 0.134469i | ||||
\(248\) | 64839.8 | − | 112306.i | 0.0669441 | − | 0.115951i | ||||
\(249\) | −527629. | − | 913880.i | −0.539300 | − | 0.934094i | ||||
\(250\) | −709287. | + | 258159.i | −0.717748 | + | 0.261239i | ||||
\(251\) | −194757. | + | 337328.i | −0.195123 | + | 0.337963i | −0.946941 | − | 0.321408i | \(-0.895844\pi\) |
0.751818 | + | 0.659371i | \(0.229177\pi\) | |||||||
\(252\) | −8748.49 | + | 7340.85i | −0.00867824 | + | 0.00728191i | ||||
\(253\) | −1.63764e6 | −1.60848 | ||||||||
\(254\) | −342209. | + | 287147.i | −0.332818 | + | 0.279267i | ||||
\(255\) | 539482. | + | 196355.i | 0.519549 | + | 0.189100i | ||||
\(256\) | 11380.2 | + | 64540.4i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 73381.6 | − | 416168.i | 0.0693034 | − | 0.393039i | −0.930349 | − | 0.366675i | \(-0.880496\pi\) |
0.999652 | − | 0.0263639i | \(-0.00839285\pi\) | |||||||
\(258\) | 253006. | 0.236636 | ||||||||
\(259\) | 57782.2 | − | 229718.i | 0.0535235 | − | 0.212787i | ||||
\(260\) | −106856. | −0.0980312 | ||||||||
\(261\) | 37024.0 | − | 209974.i | 0.0336420 | − | 0.190793i | ||||
\(262\) | −211360. | − | 1.19868e6i | −0.190226 | − | 1.07883i | ||||
\(263\) | −1.77759e6 | − | 646989.i | −1.58468 | − | 0.576777i | −0.608465 | − | 0.793580i | \(-0.708215\pi\) |
−0.976215 | + | 0.216804i | \(0.930437\pi\) | |||||||
\(264\) | −452310. | + | 379533.i | −0.399417 | + | 0.335151i | ||||
\(265\) | 388977. | 0.340259 | ||||||||
\(266\) | 83541.4 | − | 70099.6i | 0.0723932 | − | 0.0607451i | ||||
\(267\) | −149880. | + | 259600.i | −0.128667 | + | 0.222857i | ||||
\(268\) | 19320.5 | − | 7032.08i | 0.0164316 | − | 0.00598063i | ||||
\(269\) | −657710. | − | 1.13919e6i | −0.554183 | − | 0.959874i | −0.997967 | − | 0.0637396i | \(-0.979697\pi\) |
0.443783 | − | 0.896134i | \(-0.353636\pi\) | |||||||
\(270\) | 348887. | − | 604291.i | 0.291257 | − | 0.504471i | ||||
\(271\) | 148908. | − | 844498.i | 0.123167 | − | 0.698514i | −0.859213 | − | 0.511618i | \(-0.829046\pi\) |
0.982380 | − | 0.186896i | \(-0.0598427\pi\) | |||||||
\(272\) | 172518. | + | 62791.3i | 0.141388 | + | 0.0514608i | ||||
\(273\) | −31809.9 | − | 55096.3i | −0.0258319 | − | 0.0447421i | ||||
\(274\) | −961747. | − | 807002.i | −0.773899 | − | 0.649379i | ||||
\(275\) | −317050. | − | 266037.i | −0.252811 | − | 0.212134i | ||||
\(276\) | −715495. | + | 260419.i | −0.565371 | + | 0.205778i | ||||
\(277\) | 102777. | + | 582880.i | 0.0804819 | + | 0.456435i | 0.998240 | + | 0.0592966i | \(0.0188858\pi\) |
−0.917759 | + | 0.397139i | \(0.870003\pi\) | |||||||
\(278\) | 47640.2 | + | 270181.i | 0.0369711 | + | 0.209673i | ||||
\(279\) | 47777.5 | − | 17389.6i | 0.0367463 | − | 0.0133745i | ||||
\(280\) | 68184.8 | + | 57213.8i | 0.0519748 | + | 0.0436120i | ||||
\(281\) | 1.62245e6 | + | 1.36140e6i | 1.22576 | + | 1.02853i | 0.998503 | + | 0.0546997i | \(0.0174201\pi\) |
0.227257 | + | 0.973835i | \(0.427024\pi\) | |||||||
\(282\) | 457794. | + | 792923.i | 0.342805 | + | 0.593756i | ||||
\(283\) | 265494. | + | 96631.8i | 0.197055 | + | 0.0717223i | 0.438663 | − | 0.898652i | \(-0.355452\pi\) |
−0.241607 | + | 0.970374i | \(0.577675\pi\) | |||||||
\(284\) | 34751.9 | − | 197088.i | 0.0255672 | − | 0.144999i | ||||
\(285\) | 383644. | − | 664491.i | 0.279780 | − | 0.484593i | ||||
\(286\) | −153931. | − | 266617.i | −0.111279 | − | 0.192740i | ||||
\(287\) | 92976.8 | − | 33840.8i | 0.0666300 | − | 0.0242513i | ||||
\(288\) | −12847.4 | + | 22252.4i | −0.00912715 | + | 0.0158087i | ||||
\(289\) | −693698. | + | 582082.i | −0.488569 | + | 0.409958i | ||||
\(290\) | −1.66176e6 | −1.16031 | ||||||||
\(291\) | 1.19497e6 | − | 1.00270e6i | 0.827224 | − | 0.694123i | ||||
\(292\) | 111324. | + | 40518.8i | 0.0764070 | + | 0.0278099i | ||||
\(293\) | 325016. | + | 1.84326e6i | 0.221175 | + | 1.25434i | 0.869864 | + | 0.493291i | \(0.164206\pi\) |
−0.648690 | + | 0.761053i | \(0.724683\pi\) | |||||||
\(294\) | 181943. | − | 1.03185e6i | 0.122763 | − | 0.696221i | ||||
\(295\) | 367073. | 0.245582 | ||||||||
\(296\) | −54607.2 | − | 530142.i | −0.0362260 | − | 0.351693i | ||||
\(297\) | 2.01036e6 | 1.32246 | ||||||||
\(298\) | 15883.2 | − | 90077.9i | 0.0103609 | − | 0.0587595i | ||||
\(299\) | −68939.0 | − | 390973.i | −0.0445951 | − | 0.252911i | ||||
\(300\) | −180827. | − | 65815.5i | −0.116000 | − | 0.0422207i | ||||
\(301\) | 84177.4 | − | 70633.2i | 0.0535524 | − | 0.0449358i | ||||
\(302\) | −1.78466e6 | −1.12600 | ||||||||
\(303\) | 723039. | − | 606702.i | 0.452434 | − | 0.379637i | ||||
\(304\) | 122683. | − | 212494.i | 0.0761379 | − | 0.131875i | ||||
\(305\) | 2.00945e6 | − | 731378.i | 1.23688 | − | 0.450187i | ||||
\(306\) | 35990.2 | + | 62336.8i | 0.0219725 | + | 0.0380575i | ||||
\(307\) | −164974. | + | 285744.i | −0.0999010 | + | 0.173034i | −0.911644 | − | 0.410982i | \(-0.865186\pi\) |
0.811743 | + | 0.584016i | \(0.198519\pi\) | |||||||
\(308\) | −44531.0 | + | 252548.i | −0.0267477 | + | 0.151694i | ||||
\(309\) | 1.10112e6 | + | 400774.i | 0.656050 | + | 0.238783i | ||||
\(310\) | −198136. | − | 343181.i | −0.117100 | − | 0.202824i | ||||
\(311\) | 1.67484e6 | + | 1.40536e6i | 0.981912 | + | 0.823922i | 0.984377 | − | 0.176075i | \(-0.0563401\pi\) |
−0.00246464 | + | 0.999997i | \(0.500785\pi\) | |||||||
\(312\) | −109651. | − | 92008.3i | −0.0637715 | − | 0.0535107i | ||||
\(313\) | −2.66611e6 | + | 970384.i | −1.53821 | + | 0.559864i | −0.965616 | − | 0.259972i | \(-0.916287\pi\) |
−0.572598 | + | 0.819836i | \(0.694064\pi\) | |||||||
\(314\) | −73769.6 | − | 418368.i | −0.0422234 | − | 0.239461i | ||||
\(315\) | 6059.97 | + | 34367.8i | 0.00344107 | + | 0.0195153i | ||||
\(316\) | −160721. | + | 58497.8i | −0.0905432 | + | 0.0329550i | ||||
\(317\) | 1.16016e6 | + | 973489.i | 0.648439 | + | 0.544105i | 0.906597 | − | 0.421998i | \(-0.138671\pi\) |
−0.258158 | + | 0.966103i | \(0.583115\pi\) | |||||||
\(318\) | 399153. | + | 334929.i | 0.221346 | + | 0.185731i | ||||
\(319\) | −2.39385e6 | − | 4.14627e6i | −1.31710 | − | 2.28129i | ||||
\(320\) | 188186. | + | 68494.0i | 0.102733 | + | 0.0373919i | ||||
\(321\) | 155678. | − | 882893.i | 0.0843265 | − | 0.478240i | ||||
\(322\) | −165349. | + | 286392.i | −0.0888712 | + | 0.153929i | ||||
\(323\) | −343679. | − | 595269.i | −0.183293 | − | 0.317473i | ||||
\(324\) | 970016. | − | 353057.i | 0.513354 | − | 0.186845i | ||||
\(325\) | 50167.4 | − | 86892.4i | 0.0263459 | − | 0.0456324i | ||||
\(326\) | −614243. | + | 515411.i | −0.320108 | + | 0.268602i | ||||
\(327\) | 642215. | 0.332132 | ||||||||
\(328\) | 170534. | − | 143095.i | 0.0875236 | − | 0.0734410i | ||||
\(329\) | 373677. | + | 136007.i | 0.190330 | + | 0.0692744i | ||||
\(330\) | 313309. | + | 1.77687e6i | 0.158376 | + | 0.898193i | ||||
\(331\) | −509293. | + | 2.88834e6i | −0.255504 | + | 1.44904i | 0.539272 | + | 0.842132i | \(0.318700\pi\) |
−0.794776 | + | 0.606903i | \(0.792412\pi\) | |||||||
\(332\) | −1.03118e6 | −0.513441 | ||||||||
\(333\) | 117205. | − | 172988.i | 0.0579210 | − | 0.0854878i | ||||
\(334\) | 2.28915e6 | 1.12282 | ||||||||
\(335\) | 10910.0 | − | 61873.5i | 0.00531143 | − | 0.0301226i | ||||
\(336\) | 20704.5 | + | 117421.i | 0.0100050 | + | 0.0567412i | ||||
\(337\) | −1.38652e6 | − | 504653.i | −0.665047 | − | 0.242057i | −0.0126333 | − | 0.999920i | \(-0.504021\pi\) |
−0.652414 | + | 0.757863i | \(0.726244\pi\) | |||||||
\(338\) | −1.08054e6 | + | 906677.i | −0.514455 | + | 0.431679i | ||||
\(339\) | −1.74158e6 | −0.823084 | ||||||||
\(340\) | 429756. | − | 360608.i | 0.201616 | − | 0.169176i | ||||
\(341\) | 570849. | − | 988740.i | 0.265849 | − | 0.460464i | ||||
\(342\) | 90399.7 | − | 32902.8i | 0.0417928 | − | 0.0152113i | ||||
\(343\) | −466574. | − | 808131.i | −0.214134 | − | 0.370891i | ||||
\(344\) | 123617. | − | 214111.i | 0.0563226 | − | 0.0975535i | ||||
\(345\) | −404028. | + | 2.29136e6i | −0.182753 | + | 1.03644i | ||||
\(346\) | 2.04822e6 | + | 745490.i | 0.919784 | + | 0.334774i | ||||
\(347\) | −295597. | − | 511989.i | −0.131788 | − | 0.228264i | 0.792578 | − | 0.609771i | \(-0.208739\pi\) |
−0.924366 | + | 0.381507i | \(0.875405\pi\) | |||||||
\(348\) | −1.70523e6 | − | 1.43086e6i | −0.754806 | − | 0.633357i | ||||
\(349\) | 683239. | + | 573306.i | 0.300268 | + | 0.251955i | 0.780456 | − | 0.625211i | \(-0.214987\pi\) |
−0.480188 | + | 0.877166i | \(0.659431\pi\) | |||||||
\(350\) | −78536.8 | + | 28585.0i | −0.0342691 | + | 0.0124729i | ||||
\(351\) | 84629.4 | + | 479957.i | 0.0366652 | + | 0.207939i | ||||
\(352\) | 100191. | + | 568213.i | 0.0430996 | + | 0.244430i | ||||
\(353\) | 2.30406e6 | − | 838609.i | 0.984140 | − | 0.358198i | 0.200692 | − | 0.979654i | \(-0.435681\pi\) |
0.783449 | + | 0.621457i | \(0.213459\pi\) | |||||||
\(354\) | 376676. | + | 316069.i | 0.159757 | + | 0.134052i | ||||
\(355\) | −468472. | − | 393095.i | −0.197293 | − | 0.165549i | ||||
\(356\) | 146461. | + | 253678.i | 0.0612487 | + | 0.106086i | ||||
\(357\) | 313869. | + | 114239.i | 0.130340 | + | 0.0474399i | ||||
\(358\) | −481687. | + | 2.73178e6i | −0.198636 | + | 1.12652i | ||||
\(359\) | −420679. | + | 728637.i | −0.172272 | + | 0.298384i | −0.939214 | − | 0.343333i | \(-0.888444\pi\) |
0.766942 | + | 0.641717i | \(0.221777\pi\) | |||||||
\(360\) | 39258.8 | + | 67998.2i | 0.0159654 | + | 0.0276530i | ||||
\(361\) | 1.46352e6 | − | 532679.i | 0.591060 | − | 0.215128i | ||||
\(362\) | −1.16680e6 | + | 2.02096e6i | −0.467979 | + | 0.810563i | ||||
\(363\) | −1.96210e6 | + | 1.64640e6i | −0.781545 | + | 0.655794i | ||||
\(364\) | −62168.4 | −0.0245933 | ||||||||
\(365\) | 277319. | − | 232698.i | 0.108955 | − | 0.0914241i | ||||
\(366\) | 2.69177e6 | + | 979724.i | 1.05035 | + | 0.382297i | ||||
\(367\) | 854653. | + | 4.84698e6i | 0.331226 | + | 1.87848i | 0.461718 | + | 0.887027i | \(0.347233\pi\) |
−0.130492 | + | 0.991449i | \(0.541656\pi\) | |||||||
\(368\) | −129202. | + | 732739.i | −0.0497335 | + | 0.282053i | ||||
\(369\) | 87281.5 | 0.0333700 | ||||||||
\(370\) | −1.48639e6 | − | 665486.i | −0.564454 | − | 0.252717i | ||||
\(371\) | 226306. | 0.0853613 | ||||||||
\(372\) | 92177.3 | − | 522764.i | 0.0345356 | − | 0.195861i | ||||
\(373\) | 277648. | + | 1.57462e6i | 0.103329 | + | 0.586009i | 0.991875 | + | 0.127220i | \(0.0406054\pi\) |
−0.888545 | + | 0.458789i | \(0.848283\pi\) | |||||||
\(374\) | 1.51884e6 | + | 552814.i | 0.561480 | + | 0.204362i | ||||
\(375\) | −2.36686e6 | + | 1.98603e6i | −0.869150 | + | 0.729303i | ||||
\(376\) | 894701. | 0.326369 | ||||||||
\(377\) | 889115. | − | 746056.i | 0.322184 | − | 0.270345i | ||||
\(378\) | 202982. | − | 351575.i | 0.0730681 | − | 0.126558i | ||||
\(379\) | 46241.2 | − | 16830.4i | 0.0165360 | − | 0.00601862i | −0.333739 | − | 0.942666i | \(-0.608310\pi\) |
0.350275 | + | 0.936647i | \(0.386088\pi\) | |||||||
\(380\) | −374892. | − | 649332.i | −0.133182 | − | 0.230679i | ||||
\(381\) | −914302. | + | 1.58362e6i | −0.322684 | + | 0.558905i | ||||
\(382\) | 624208. | − | 3.54006e6i | 0.218862 | − | 1.24123i | ||||
\(383\) | 958132. | + | 348732.i | 0.333756 | + | 0.121477i | 0.503462 | − | 0.864018i | \(-0.332060\pi\) |
−0.169706 | + | 0.985495i | \(0.554282\pi\) | |||||||
\(384\) | 134132. | + | 232323.i | 0.0464199 | + | 0.0804016i | ||||
\(385\) | 600299. | + | 503711.i | 0.206403 | + | 0.173193i | ||||
\(386\) | 820777. | + | 688714.i | 0.280386 | + | 0.235272i | ||||
\(387\) | 91087.9 | − | 33153.3i | 0.0309160 | − | 0.0112525i | ||||
\(388\) | −264697. | − | 1.50117e6i | −0.0892627 | − | 0.506234i | ||||
\(389\) | 66875.6 | + | 379271.i | 0.0224075 | + | 0.127079i | 0.993960 | − | 0.109747i | \(-0.0350040\pi\) |
−0.971552 | + | 0.236826i | \(0.923893\pi\) | |||||||
\(390\) | −411023. | + | 149600.i | −0.136837 | + | 0.0498047i | ||||
\(391\) | 1.59669e6 | + | 1.33978e6i | 0.528175 | + | 0.443191i | ||||
\(392\) | −784324. | − | 658126.i | −0.257799 | − | 0.216319i | ||||
\(393\) | −2.49118e6 | − | 4.31486e6i | −0.813625 | − | 1.40924i | ||||
\(394\) | 2.96848e6 | + | 1.08044e6i | 0.963370 | + | 0.350638i | ||||
\(395\) | −90756.7 | + | 514707.i | −0.0292675 | + | 0.165984i | ||||
\(396\) | −113109. | + | 195910.i | −0.0362458 | + | 0.0627796i | ||||
\(397\) | −1.29738e6 | − | 2.24713e6i | −0.413135 | − | 0.715570i | 0.582096 | − | 0.813120i | \(-0.302233\pi\) |
−0.995231 | + | 0.0975498i | \(0.968899\pi\) | |||||||
\(398\) | 706512. | − | 257149.i | 0.223569 | − | 0.0813725i | ||||
\(399\) | 223203. | − | 386599.i | 0.0701888 | − | 0.121571i | ||||
\(400\) | −144048. | + | 120871.i | −0.0450151 | + | 0.0377722i | ||||
\(401\) | −2.25512e6 | −0.700340 | −0.350170 | − | 0.936686i | \(-0.613876\pi\) | ||||
−0.350170 | + | 0.936686i | \(0.613876\pi\) | |||||||
\(402\) | 64471.6 | − | 54098.1i | 0.0198977 | − | 0.0166962i | ||||
\(403\) | 260084. | + | 94663.0i | 0.0797722 | + | 0.0290347i | ||||
\(404\) | −160161. | − | 908316.i | −0.0488205 | − | 0.276875i | ||||
\(405\) | 547753. | − | 3.10646e6i | 0.165938 | − | 0.941083i | ||||
\(406\) | −966807. | −0.291088 | ||||||||
\(407\) | −480762. | − | 4.66737e6i | −0.143861 | − | 1.39665i | ||||
\(408\) | 751502. | 0.223501 | ||||||||
\(409\) | 870366. | − | 4.93609e6i | 0.257273 | − | 1.45907i | −0.532899 | − | 0.846179i | \(-0.678897\pi\) |
0.790171 | − | 0.612886i | \(-0.209992\pi\) | |||||||
\(410\) | −118126. | − | 669928.i | −0.0347046 | − | 0.196820i | ||||
\(411\) | −4.82920e6 | − | 1.75769e6i | −1.41017 | − | 0.513259i | ||||
\(412\) | 877160. | − | 736025.i | 0.254587 | − | 0.213624i | ||||
\(413\) | 213562. | 0.0616097 | ||||||||
\(414\) | −223470. | + | 187513.i | −0.0640792 | + | 0.0537689i | ||||
\(415\) | −1.57553e6 | + | 2.72890e6i | −0.449062 | + | 0.777799i | ||||
\(416\) | −131439. | + | 47839.7i | −0.0372383 | + | 0.0135536i | ||||
\(417\) | 561508. | + | 972561.i | 0.158131 | + | 0.273890i | ||||
\(418\) | 1.08010e6 | − | 1.87079e6i | 0.302360 | − | 0.523703i | ||||
\(419\) | −425386. | + | 2.41248e6i | −0.118372 | + | 0.671319i | 0.866654 | + | 0.498910i | \(0.166266\pi\) |
−0.985025 | + | 0.172409i | \(0.944845\pi\) | |||||||
\(420\) | 342375. | + | 124614.i | 0.0947063 | + | 0.0344703i | ||||
\(421\) | 2.19057e6 | + | 3.79419e6i | 0.602355 | + | 1.04331i | 0.992463 | + | 0.122541i | \(0.0391043\pi\) |
−0.390108 | + | 0.920769i | \(0.627562\pi\) | |||||||
\(422\) | −2.20972e6 | − | 1.85418e6i | −0.604027 | − | 0.506839i | ||||
\(423\) | 268719. | + | 225482.i | 0.0730209 | + | 0.0612718i | ||||
\(424\) | 478463. | − | 174146.i | 0.129251 | − | 0.0470435i | ||||
\(425\) | 91472.8 | + | 518768.i | 0.0245652 | + | 0.139316i | ||||
\(426\) | −142253. | − | 806757.i | −0.0379785 | − | 0.215387i | ||||
\(427\) | 1.16909e6 | − | 425514.i | 0.310298 | − | 0.112939i | ||||
\(428\) | −671101. | − | 563121.i | −0.177084 | − | 0.148591i | ||||
\(429\) | −965369. | − | 810041.i | −0.253250 | − | 0.212502i | ||||
\(430\) | −377746. | − | 654275.i | −0.0985209 | − | 0.170643i | ||||
\(431\) | −1.11206e6 | − | 404757.i | −0.288360 | − | 0.104954i | 0.193790 | − | 0.981043i | \(-0.437922\pi\) |
−0.482150 | + | 0.876089i | \(0.660144\pi\) | |||||||
\(432\) | 158608. | − | 899510.i | 0.0408898 | − | 0.231898i | ||||
\(433\) | −1.45581e6 | + | 2.52154e6i | −0.373152 | + | 0.646318i | −0.990049 | − | 0.140726i | \(-0.955056\pi\) |
0.616897 | + | 0.787044i | \(0.288390\pi\) | |||||||
\(434\) | −115275. | − | 199662.i | −0.0293772 | − | 0.0508828i | ||||
\(435\) | −6.39199e6 | + | 2.32649e6i | −1.61962 | + | 0.589493i | ||||
\(436\) | 313782. | − | 543487.i | 0.0790518 | − | 0.136922i | ||||
\(437\) | 2.13396e6 | − | 1.79061e6i | 0.534544 | − | 0.448536i | ||||
\(438\) | 484939. | 0.120782 | ||||||||
\(439\) | −4.04830e6 | + | 3.39692e6i | −1.00256 | + | 0.841249i | −0.987337 | − | 0.158635i | \(-0.949291\pi\) |
−0.0152241 | + | 0.999884i | \(0.504846\pi\) | |||||||
\(440\) | 1.65679e6 | + | 603021.i | 0.407976 | + | 0.148491i | ||||
\(441\) | −69707.3 | − | 395330.i | −0.0170680 | − | 0.0967972i | ||||
\(442\) | −68041.6 | + | 385883.i | −0.0165661 | + | 0.0939507i | ||||
\(443\) | 1.06693e6 | 0.258302 | 0.129151 | − | 0.991625i | \(-0.458775\pi\) | ||||
0.129151 | + | 0.991625i | \(0.458775\pi\) | |||||||
\(444\) | −952258. | − | 1.96275e6i | −0.229243 | − | 0.472507i | ||||
\(445\) | 895103. | 0.214276 | ||||||||
\(446\) | 696370. | − | 3.94931e6i | 0.165769 | − | 0.940122i | ||||
\(447\) | −65015.9 | − | 368724.i | −0.0153904 | − | 0.0872835i | ||||
\(448\) | 109486. | + | 39849.6i | 0.0257729 | + | 0.00938057i | ||||
\(449\) | 4.48217e6 | − | 3.76099e6i | 1.04923 | − | 0.880412i | 0.0562209 | − | 0.998418i | \(-0.482095\pi\) |
0.993013 | + | 0.118007i | \(0.0376504\pi\) | |||||||
\(450\) | −73726.0 | −0.0171628 | ||||||||
\(451\) | 1.50138e6 | − | 1.25981e6i | 0.347575 | − | 0.291650i | ||||
\(452\) | −850924. | + | 1.47384e6i | −0.195905 | + | 0.339317i | ||||
\(453\) | −6.86473e6 | + | 2.49856e6i | −1.57173 | + | 0.572063i | ||||
\(454\) | −958923. | − | 1.66090e6i | −0.218345 | − | 0.378185i | ||||
\(455\) | −94986.2 | + | 164521.i | −0.0215096 | + | 0.0372557i | ||||
\(456\) | 174409. | − | 989120.i | 0.0392786 | − | 0.222760i | ||||
\(457\) | 4.53958e6 | + | 1.65227e6i | 1.01677 | + | 0.370076i | 0.796031 | − | 0.605256i | \(-0.206929\pi\) |
0.220744 | + | 0.975332i | \(0.429152\pi\) | |||||||
\(458\) | 2.26989e6 | + | 3.93157e6i | 0.505640 | + | 0.875794i | ||||
\(459\) | −1.96009e6 | − | 1.64471e6i | −0.434254 | − | 0.364383i | ||||
\(460\) | 1.74170e6 | + | 1.46146e6i | 0.383776 | + | 0.322027i | ||||
\(461\) | 2.39893e6 | − | 873139.i | 0.525733 | − | 0.191351i | −0.0654990 | − | 0.997853i | \(-0.520864\pi\) |
0.591232 | + | 0.806501i | \(0.298642\pi\) | |||||||
\(462\) | 182283. | + | 1.03378e6i | 0.0397320 | + | 0.225331i | ||||
\(463\) | −296033. | − | 1.67889e6i | −0.0641782 | − | 0.363973i | −0.999936 | − | 0.0113289i | \(-0.996394\pi\) |
0.935758 | − | 0.352644i | \(-0.114717\pi\) | |||||||
\(464\) | −2.04406e6 | + | 743975.i | −0.440755 | + | 0.160422i | ||||
\(465\) | −1.24259e6 | − | 1.04266e6i | −0.266500 | − | 0.223620i | ||||
\(466\) | 4.73087e6 | + | 3.96968e6i | 1.00920 | + | 0.846818i | ||||
\(467\) | −3.92232e6 | − | 6.79365e6i | −0.832243 | − | 1.44149i | −0.896255 | − | 0.443539i | \(-0.853723\pi\) |
0.0640117 | − | 0.997949i | \(-0.479610\pi\) | |||||||
\(468\) | −51533.4 | − | 18756.6i | −0.0108761 | − | 0.00395859i | ||||
\(469\) | 6347.39 | − | 35997.8i | 0.00133249 | − | 0.00755691i | ||||
\(470\) | 1.36700e6 | − | 2.36772e6i | 0.285446 | − | 0.494407i | ||||
\(471\) | −869480. | − | 1.50598e6i | −0.180596 | − | 0.312801i | ||||
\(472\) | 451520. | − | 164340.i | 0.0932872 | − | 0.0339538i | ||||
\(473\) | 1.08832e6 | − | 1.88503e6i | 0.223669 | − | 0.387406i | ||||
\(474\) | −536320. | + | 450026.i | −0.109642 | + | 0.0920008i | ||||
\(475\) | 704027. | 0.143171 | ||||||||
\(476\) | 250031. | − | 209801.i | 0.0505798 | − | 0.0424415i | ||||
\(477\) | 187592. | + | 68278.0i | 0.0377502 | + | 0.0137399i | ||||
\(478\) | −520780. | − | 2.95349e6i | −0.104252 | − | 0.591243i | ||||
\(479\) | 1.00339e6 | − | 5.69052e6i | 0.199817 | − | 1.13322i | −0.705573 | − | 0.708637i | \(-0.749310\pi\) |
0.905390 | − | 0.424581i | \(-0.139578\pi\) | |||||||
\(480\) | 819754. | 0.162398 | ||||||||
\(481\) | 1.09406e6 | − | 311259.i | 0.215614 | − | 0.0613421i | ||||
\(482\) | −5.59771e6 | −1.09747 | ||||||||
\(483\) | −235063. | + | 1.33311e6i | −0.0458475 | + | 0.260014i | ||||
\(484\) | 434625. | + | 2.46488e6i | 0.0843337 | + | 0.478280i | ||||
\(485\) | −4.37709e6 | − | 1.59313e6i | −0.844951 | − | 0.307537i | ||||
\(486\) | 580251. | − | 486889.i | 0.111436 | − | 0.0935059i | ||||
\(487\) | 9.20757e6 | 1.75923 | 0.879615 | − | 0.475686i | \(-0.157800\pi\) | ||||
0.879615 | + | 0.475686i | \(0.157800\pi\) | |||||||
\(488\) | 2.14429e6 | − | 1.79927e6i | 0.407600 | − | 0.342017i | ||||
\(489\) | −1.64111e6 | + | 2.84249e6i | −0.310361 | + | 0.537561i | ||||
\(490\) | −2.94001e6 | + | 1.07008e6i | −0.553170 | + | 0.201337i | ||||
\(491\) | −2.90772e6 | − | 5.03632e6i | −0.544314 | − | 0.942779i | −0.998650 | − | 0.0519487i | \(-0.983457\pi\) |
0.454336 | − | 0.890830i | \(-0.349877\pi\) | |||||||
\(492\) | 455626. | − | 789167.i | 0.0848586 | − | 0.146979i | ||||
\(493\) | −1.05814e6 | + | 6.00103e6i | −0.196077 | + | 1.11201i | ||||
\(494\) | 492105. | + | 179112.i | 0.0907278 | + | 0.0330222i | ||||
\(495\) | 345634. | + | 598656.i | 0.0634022 | + | 0.109816i | ||||
\(496\) | −397361. | − | 333426.i | −0.0725239 | − | 0.0608548i | ||||
\(497\) | −272556. | − | 228701.i | −0.0494954 | − | 0.0415315i | ||||
\(498\) | −3.96647e6 | + | 1.44368e6i | −0.716689 | + | 0.260854i | ||||
\(499\) | 1.22400e6 | + | 6.94165e6i | 0.220055 | + | 1.24799i | 0.871917 | + | 0.489654i | \(0.162877\pi\) |
−0.651862 | + | 0.758337i | \(0.726012\pi\) | |||||||
\(500\) | 524284. | + | 2.97336e6i | 0.0937867 | + | 0.531891i | ||||
\(501\) | 8.80528e6 | − | 3.20486e6i | 1.56729 | − | 0.570446i | ||||
\(502\) | 1.19354e6 | + | 1.00150e6i | 0.211386 | + | 0.177374i | ||||
\(503\) | −177735. | − | 149137.i | −0.0313223 | − | 0.0262825i | 0.626992 | − | 0.779026i | \(-0.284286\pi\) |
−0.658314 | + | 0.752743i | \(0.728730\pi\) | |||||||
\(504\) | 22840.7 | + | 39561.2i | 0.00400528 | + | 0.00693734i | ||||
\(505\) | −2.64845e6 | − | 963958.i | −0.462130 | − | 0.168201i | ||||
\(506\) | −1.13749e6 | + | 6.45104e6i | −0.197502 | + | 1.12009i | ||||
\(507\) | −2.88694e6 | + | 5.00032e6i | −0.498790 | + | 0.863929i | ||||
\(508\) | 893444. | + | 1.54749e6i | 0.153606 | + | 0.266053i | ||||
\(509\) | 4.31823e6 | − | 1.57171e6i | 0.738773 | − | 0.268891i | 0.0548995 | − | 0.998492i | \(-0.482516\pi\) |
0.683874 | + | 0.729600i | \(0.260294\pi\) | |||||||
\(510\) | 1.14821e6 | − | 1.98876e6i | 0.195477 | − | 0.338576i | ||||
\(511\) | 161343. | − | 135383.i | 0.0273337 | − | 0.0229357i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −2.61965e6 | + | 2.19815e6i | −0.439491 | + | 0.368777i | ||||
\(514\) | −1.58841e6 | − | 578134.i | −0.265189 | − | 0.0965208i | ||||
\(515\) | −607598. | − | 3.44586e6i | −0.100948 | − | 0.572505i | ||||
\(516\) | 175736. | − | 996649.i | 0.0290561 | − | 0.164785i | ||||
\(517\) | 7.87695e6 | 1.29608 | ||||||||
\(518\) | −864778. | − | 387178.i | −0.141606 | − | 0.0633996i | ||||
\(519\) | 8.92222e6 | 1.45397 | ||||||||
\(520\) | −74221.2 | + | 420929.i | −0.0120370 | + | 0.0682654i | ||||
\(521\) | 1.32398e6 | + | 7.50868e6i | 0.213692 | + | 1.21191i | 0.883162 | + | 0.469068i | \(0.155410\pi\) |
−0.669470 | + | 0.742839i | \(0.733479\pi\) | |||||||
\(522\) | −801418. | − | 291692.i | −0.128731 | − | 0.0468542i | ||||
\(523\) | −5.93585e6 | + | 4.98077e6i | −0.948918 | + | 0.796236i | −0.979115 | − | 0.203308i | \(-0.934831\pi\) |
0.0301973 | + | 0.999544i | \(0.490386\pi\) | |||||||
\(524\) | −4.86870e6 | −0.774613 | ||||||||
\(525\) | −262074. | + | 219906.i | −0.0414978 | + | 0.0348208i | ||||
\(526\) | −3.78334e6 | + | 6.55294e6i | −0.596226 | + | 1.03269i | ||||
\(527\) | −1.36548e6 | + | 496993.i | −0.214170 | + | 0.0779514i | ||||
\(528\) | 1.18090e6 | + | 2.04538e6i | 0.184343 | + | 0.319292i | ||||
\(529\) | −1.00546e6 | + | 1.74151e6i | −0.156216 | + | 0.270575i | ||||
\(530\) | 270181. | − | 1.53227e6i | 0.0417796 | − | 0.236944i | ||||
\(531\) | 177029. | + | 64433.1i | 0.0272463 | + | 0.00991683i | ||||
\(532\) | −218111. | − | 377780.i | −0.0334117 | − | 0.0578708i | ||||
\(533\) | 363971. | + | 305408.i | 0.0554944 | + | 0.0465653i | ||||
\(534\) | 918520. | + | 770730.i | 0.139391 | + | 0.116963i | ||||
\(535\) | −2.51560e6 | + | 915602.i | −0.379976 | + | 0.138300i | ||||
\(536\) | −14281.1 | − | 80992.2i | −0.00214709 | − | 0.0121768i | ||||
\(537\) | 1.97173e6 | + | 1.11822e7i | 0.295061 | + | 1.67337i | ||||
\(538\) | −4.94436e6 | + | 1.79960e6i | −0.736469 | + | 0.268053i | ||||
\(539\) | −6.90519e6 | − | 5.79414e6i | −1.02377 | − | 0.859048i | ||||
\(540\) | −2.13811e6 | − | 1.79408e6i | −0.315533 | − | 0.264764i | ||||
\(541\) | 3.60086e6 | + | 6.23688e6i | 0.528949 | + | 0.916166i | 0.999430 | + | 0.0337560i | \(0.0107469\pi\) |
−0.470481 | + | 0.882410i | \(0.655920\pi\) | |||||||
\(542\) | −3.22324e6 | − | 1.17316e6i | −0.471297 | − | 0.171538i | ||||
\(543\) | −1.65875e6 | + | 9.40722e6i | −0.241424 | + | 1.36918i | ||||
\(544\) | 367179. | − | 635972.i | 0.0531962 | − | 0.0921384i | ||||
\(545\) | −958847. | − | 1.66077e6i | −0.138280 | − | 0.239507i | ||||
\(546\) | −239132. | + | 87037.0i | −0.0343286 | + | 0.0124946i | ||||
\(547\) | 6.11384e6 | − | 1.05895e7i | 0.873667 | − | 1.51323i | 0.0154901 | − | 0.999880i | \(-0.495069\pi\) |
0.858176 | − | 0.513355i | \(-0.171598\pi\) | |||||||
\(548\) | −3.84699e6 | + | 3.22801e6i | −0.547230 | + | 0.459180i | ||||
\(549\) | 1.09748e6 | 0.155405 | ||||||||
\(550\) | −1.26820e6 | + | 1.06415e6i | −0.178765 | + | 0.150001i | ||||
\(551\) | 7.65293e6 | + | 2.78544e6i | 1.07386 | + | 0.390854i | ||||
\(552\) | 528872. | + | 2.99938e6i | 0.0738759 | + | 0.418971i | ||||
\(553\) | −52802.0 | + | 299455.i | −0.00734240 | + | 0.0416408i | ||||
\(554\) | 2.36749e6 | 0.327728 | ||||||||
\(555\) | −6.64912e6 | − | 478831.i | −0.916288 | − | 0.0659858i | ||||
\(556\) | 1.09740e6 | 0.150549 | ||||||||
\(557\) | 1.95578e6 | − | 1.10918e7i | 0.267104 | − | 1.51482i | −0.495870 | − | 0.868397i | \(-0.665151\pi\) |
0.762975 | − | 0.646428i | \(-0.223738\pi\) | |||||||
\(558\) | −35315.7 | − | 200285.i | −0.00480156 | − | 0.0272310i | ||||
\(559\) | 495851. | + | 180475.i | 0.0671153 | + | 0.0244280i | ||||
\(560\) | 272739. | − | 228855.i | 0.0367517 | − | 0.0308383i | ||||
\(561\) | 6.61622e6 | 0.887570 | ||||||||
\(562\) | 6.48980e6 | − | 5.44559e6i | 0.866743 | − | 0.727284i | ||||
\(563\) | 1.82466e6 | − | 3.16040e6i | 0.242611 | − | 0.420214i | −0.718846 | − | 0.695169i | \(-0.755330\pi\) |
0.961457 | + | 0.274955i | \(0.0886629\pi\) | |||||||
\(564\) | 3.44149e6 | − | 1.25260e6i | 0.455563 | − | 0.165811i | ||||
\(565\) | 2.60023e6 | + | 4.50373e6i | 0.342682 | + | 0.593542i | ||||
\(566\) | 565065. | − | 978721.i | 0.0741408 | − | 0.128416i | ||||
\(567\) | 318681. | − | 1.80733e6i | 0.0416293 | − | 0.236091i | ||||
\(568\) | −752237. | − | 273792.i | −0.0978326 | − | 0.0356082i | ||||
\(569\) | 6.47106e6 | + | 1.12082e7i | 0.837905 | + | 1.45129i | 0.891643 | + | 0.452739i | \(0.149553\pi\) |
−0.0537383 | + | 0.998555i | \(0.517114\pi\) | |||||||
\(570\) | −2.35111e6 | − | 1.97281e6i | −0.303099 | − | 0.254331i | ||||
\(571\) | −3.48043e6 | − | 2.92043e6i | −0.446728 | − | 0.374849i | 0.391492 | − | 0.920181i | \(-0.371959\pi\) |
−0.838220 | + | 0.545332i | \(0.816403\pi\) | |||||||
\(572\) | −1.15718e6 | + | 421181.i | −0.147881 | + | 0.0538243i | ||||
\(573\) | −2.55512e6 | − | 1.44908e7i | −0.325106 | − | 1.84377i | ||||
\(574\) | −68725.7 | − | 389763.i | −0.00870641 | − | 0.0493765i | ||||
\(575\) | −2.00613e6 | + | 730170.i | −0.253040 | + | 0.0920989i | ||||
\(576\) | 78733.6 | + | 66065.3i | 0.00988790 | + | 0.00829693i | ||||
\(577\) | −2.65033e6 | − | 2.22389e6i | −0.331406 | − | 0.278083i | 0.461866 | − | 0.886950i | \(-0.347180\pi\) |
−0.793273 | + | 0.608867i | \(0.791624\pi\) | |||||||
\(578\) | 1.81112e6 | + | 3.13695e6i | 0.225490 | + | 0.390560i | ||||
\(579\) | 4.12135e6 | + | 1.50005e6i | 0.510909 | + | 0.185956i | ||||
\(580\) | −1.15425e6 | + | 6.54605e6i | −0.142472 | + | 0.807996i | ||||
\(581\) | −916640. | + | 1.58767e6i | −0.112657 | + | 0.195128i | ||||
\(582\) | −3.11983e6 | − | 5.40371e6i | −0.381789 | − | 0.661279i | ||||
\(583\) | 4.21239e6 | − | 1.53319e6i | 0.513284 | − | 0.186820i | ||||
\(584\) | 236938. | − | 410389.i | 0.0287477 | − | 0.0497924i | ||||
\(585\) | −128374. | + | 107719.i | −0.0155092 | + | 0.0130137i | ||||
\(586\) | 7.48677e6 | 0.900638 | ||||||||
\(587\) | 4.93127e6 | − | 4.13783e6i | 0.590696 | − | 0.495652i | −0.297744 | − | 0.954646i | \(-0.596234\pi\) |
0.888440 | + | 0.458993i | \(0.151790\pi\) | |||||||
\(588\) | −3.93831e6 | − | 1.43343e6i | −0.469750 | − | 0.170975i | ||||
\(589\) | 337238. | + | 1.91257e6i | 0.0400542 | + | 0.227159i | ||||
\(590\) | 254966. | − | 1.44598e6i | 0.0301545 | − | 0.171015i | ||||
\(591\) | 1.29309e7 | 1.52287 | ||||||||
\(592\) | −2.12628e6 | − | 153123.i | −0.249354 | − | 0.0179571i | ||||
\(593\) | −1.26035e7 | −1.47181 | −0.735907 | − | 0.677082i | \(-0.763244\pi\) | ||||
−0.735907 | + | 0.677082i | \(0.763244\pi\) | |||||||
\(594\) | 1.39638e6 | − | 7.91928e6i | 0.162382 | − | 0.920915i | ||||
\(595\) | −173193. | − | 982229.i | −0.0200558 | − | 0.113742i | ||||
\(596\) | −343806. | − | 125135.i | −0.0396458 | − | 0.0144299i | ||||
\(597\) | 2.35760e6 | − | 1.97826e6i | 0.270729 | − | 0.227168i | ||||
\(598\) | −1.58802e6 | −0.181594 | ||||||||
\(599\) | −1.07029e7 | + | 8.98076e6i | −1.21880 | + | 1.02270i | −0.219914 | + | 0.975519i | \(0.570578\pi\) |
−0.998887 | + | 0.0471758i | \(0.984978\pi\) | |||||||
\(600\) | −384864. | + | 666603.i | −0.0436444 | + | 0.0755943i | ||||
\(601\) | −1.99049e6 | + | 724478.i | −0.224788 | + | 0.0818161i | −0.451959 | − | 0.892039i | \(-0.649275\pi\) |
0.227171 | + | 0.973855i | \(0.427052\pi\) | |||||||
\(602\) | −219771. | − | 380655.i | −0.0247161 | − | 0.0428096i | ||||
\(603\) | 16122.3 | − | 27924.7i | 0.00180566 | − | 0.00312749i | ||||
\(604\) | −1.23961e6 | + | 7.03018e6i | −0.138259 | + | 0.784105i | ||||
\(605\) | 7.18706e6 | + | 2.61587e6i | 0.798294 | + | 0.290555i | ||||
\(606\) | −1.88772e6 | − | 3.26963e6i | −0.208812 | − | 0.361674i | ||||
\(607\) | 8.78898e6 | + | 7.37483e6i | 0.968204 | + | 0.812419i | 0.982268 | − | 0.187482i | \(-0.0600325\pi\) |
−0.0140643 | + | 0.999901i | \(0.504477\pi\) | |||||||
\(608\) | −751846. | − | 630874.i | −0.0824841 | − | 0.0692123i | ||||
\(609\) | −3.71884e6 | + | 1.35355e6i | −0.406317 | + | 0.147887i | ||||
\(610\) | −1.48532e6 | − | 8.42368e6i | −0.161620 | − | 0.916595i | ||||
\(611\) | 331593. | + | 1.88056e6i | 0.0359337 | + | 0.203790i | ||||
\(612\) | 270557. | − | 98474.9i | 0.0291999 | − | 0.0106279i | ||||
\(613\) | −4.95310e6 | − | 4.15615e6i | −0.532386 | − | 0.446724i | 0.336539 | − | 0.941670i | \(-0.390744\pi\) |
−0.868924 | + | 0.494945i | \(0.835188\pi\) | |||||||
\(614\) | 1.01102e6 | + | 848347.i | 0.108228 | + | 0.0908139i | ||||
\(615\) | −1.39229e6 | − | 2.41152e6i | −0.148437 | − | 0.257100i | ||||
\(616\) | 963914. | + | 350836.i | 0.102350 | + | 0.0372523i | ||||
\(617\) | −2.16586e6 | + | 1.22832e7i | −0.229044 | + | 1.29897i | 0.625758 | + | 0.780017i | \(0.284790\pi\) |
−0.854802 | + | 0.518954i | \(0.826322\pi\) | |||||||
\(618\) | 2.34357e6 | − | 4.05918e6i | 0.246835 | − | 0.427530i | ||||
\(619\) | −6.82938e6 | − | 1.18288e7i | −0.716399 | − | 1.24084i | −0.962418 | − | 0.271574i | \(-0.912456\pi\) |
0.246019 | − | 0.969265i | \(-0.420877\pi\) | |||||||
\(620\) | −1.48949e6 | + | 542131.i | −0.155618 | + | 0.0566402i | ||||
\(621\) | 5.18492e6 | − | 8.98055e6i | 0.539527 | − | 0.934489i | ||||
\(622\) | 6.69936e6 | − | 5.62143e6i | 0.694317 | − | 0.582601i | ||||
\(623\) | 520769. | 0.0537557 | ||||||||
\(624\) | −438605. | + | 368033.i | −0.0450933 | + | 0.0378378i | ||||
\(625\) | 6.51268e6 | + | 2.37042e6i | 0.666898 | + | 0.242731i | ||||
\(626\) | 1.97071e6 | + | 1.11764e7i | 0.200995 | + | 1.13990i | ||||
\(627\) | 1.53549e6 | − | 8.70821e6i | 0.155984 | − | 0.884627i | ||||
\(628\) | −1.69929e6 | −0.171936 | ||||||||
\(629\) | −3.34971e6 | + | 4.94398e6i | −0.337583 | + | 0.498253i | ||||
\(630\) | 139592. | 0.0140123 | ||||||||
\(631\) | 2.87067e6 | − | 1.62804e7i | 0.287018 | − | 1.62776i | −0.410967 | − | 0.911650i | \(-0.634809\pi\) |
0.697985 | − | 0.716112i | \(-0.254080\pi\) | |||||||
\(632\) | 118800. | + | 673751.i | 0.0118311 | + | 0.0670975i | ||||
\(633\) | −1.10956e7 | − | 4.03848e6i | −1.10063 | − | 0.400597i | ||||
\(634\) | 4.64063e6 | − | 3.89395e6i | 0.458516 | − | 0.384740i | ||||
\(635\) | 5.46032e6 | 0.537383 | ||||||||
\(636\) | 1.59661e6 | − | 1.33972e6i | 0.156515 | − | 0.131332i | ||||
\(637\) | 1.09262e6 | − | 1.89247e6i | 0.106689 | − | 0.184791i | ||||
\(638\) | −1.79959e7 | + | 6.54996e6i | −1.75033 | + | 0.637069i | ||||
\(639\) | −156930. | − | 271810.i | −0.0152038 | − | 0.0263338i | ||||
\(640\) | 400526. | − | 693732.i | 0.0386528 | − | 0.0669486i | ||||
\(641\) | 697517. | − | 3.95581e6i | 0.0670517 | − | 0.380269i | −0.932753 | − | 0.360516i | \(-0.882601\pi\) |
0.999805 | − | 0.0197534i | \(-0.00628812\pi\) | |||||||
\(642\) | −3.36979e6 | − | 1.22650e6i | −0.322675 | − | 0.117444i | ||||
\(643\) | −8.85991e6 | − | 1.53458e7i | −0.845088 | − | 1.46373i | −0.885545 | − | 0.464554i | \(-0.846215\pi\) |
0.0404572 | − | 0.999181i | \(-0.487119\pi\) | |||||||
\(644\) | 1.01332e6 | + | 850273.i | 0.0962787 | + | 0.0807874i | ||||
\(645\) | −2.36900e6 | − | 1.98783e6i | −0.224216 | − | 0.188140i | ||||
\(646\) | −2.58362e6 | + | 940360.i | −0.243583 | + | 0.0886570i | ||||
\(647\) | 2.46570e6 | + | 1.39837e7i | 0.231569 | + | 1.31329i | 0.849721 | + | 0.527233i | \(0.176771\pi\) |
−0.618152 | + | 0.786059i | \(0.712118\pi\) | |||||||
\(648\) | −717007. | − | 4.06635e6i | −0.0670789 | − | 0.380423i | ||||
\(649\) | 3.97518e6 | − | 1.44685e6i | 0.370463 | − | 0.134838i | ||||
\(650\) | −307443. | − | 257976.i | −0.0285418 | − | 0.0239494i | ||||
\(651\) | −722937. | − | 606617.i | −0.0668572 | − | 0.0560999i | ||||
\(652\) | 1.60368e6 | + | 2.77765e6i | 0.147740 | + | 0.255893i | ||||
\(653\) | −1.56127e7 | − | 5.68255e6i | −1.43283 | − | 0.521507i | −0.495089 | − | 0.868843i | \(-0.664864\pi\) |
−0.937741 | + | 0.347335i | \(0.887087\pi\) | |||||||
\(654\) | 446078. | − | 2.52983e6i | 0.0407818 | − | 0.231285i | ||||
\(655\) | −7.43882e6 | + | 1.28844e7i | −0.677487 | + | 1.17344i | ||||
\(656\) | −445232. | − | 771164.i | −0.0403949 | − | 0.0699660i | ||||
\(657\) | 174589. | − | 63545.2i | 0.0157799 | − | 0.00574340i | ||||
\(658\) | 795318. | − | 1.37753e6i | 0.0716104 | − | 0.124033i | ||||
\(659\) | −1.30255e7 | + | 1.09297e7i | −1.16837 | + | 0.980378i | −0.999986 | − | 0.00534405i | \(-0.998299\pi\) |
−0.168383 | + | 0.985722i | \(0.553854\pi\) | |||||||
\(660\) | 7.21711e6 | 0.644916 | ||||||||
\(661\) | −3.40994e6 | + | 2.86128e6i | −0.303559 | + | 0.254716i | −0.781824 | − | 0.623499i | \(-0.785710\pi\) |
0.478265 | + | 0.878216i | \(0.341266\pi\) | |||||||
\(662\) | 1.10241e7 | + | 4.01245e6i | 0.977683 | + | 0.355848i | ||||
\(663\) | 278520. | + | 1.57957e6i | 0.0246078 | + | 0.139558i | ||||
\(664\) | −716253. | + | 4.06207e6i | −0.0630443 | + | 0.357542i | ||||
\(665\) | −1.33300e6 | −0.116889 | ||||||||
\(666\) | −600028. | − | 581854.i | −0.0524187 | − | 0.0508310i | ||||
\(667\) | −2.46959e7 | −2.14937 | ||||||||
\(668\) | 1.59003e6 | − | 9.01750e6i | 0.137868 | − | 0.781889i | ||||
\(669\) | −2.85051e6 | − | 1.61660e7i | −0.246239 | − | 1.39649i | ||||
\(670\) | −236156. | − | 85953.7i | −0.0203241 | − | 0.00739737i | ||||
\(671\) | 1.88783e7 | − | 1.58408e7i | 1.61867 | − | 1.35822i | ||||
\(672\) | 476931. | 0.0407410 | ||||||||
\(673\) | −8.44962e6 | + | 7.09007e6i | −0.719117 | + | 0.603410i | −0.927141 | − | 0.374713i | \(-0.877741\pi\) |
0.208024 | + | 0.978124i | \(0.433297\pi\) | |||||||
\(674\) | −2.95102e6 | + | 5.11131e6i | −0.250220 | + | 0.433393i | ||||
\(675\) | 2.46272e6 | − | 896356.i | 0.208044 | − | 0.0757218i | ||||
\(676\) | 2.82108e6 | + | 4.88625e6i | 0.237437 | + | 0.411253i | ||||
\(677\) | −2.09990e6 | + | 3.63714e6i | −0.176087 | + | 0.304992i | −0.940537 | − | 0.339691i | \(-0.889677\pi\) |
0.764450 | + | 0.644683i | \(0.223011\pi\) | |||||||
\(678\) | −1.20969e6 | + | 6.86049e6i | −0.101065 | + | 0.573166i | ||||
\(679\) | −2.54658e6 | − | 926880.i | −0.211974 | − | 0.0771523i | ||||
\(680\) | −1.12201e6 | − | 1.94339e6i | −0.0930521 | − | 0.161171i | ||||
\(681\) | −6.01382e6 | − | 5.04619e6i | −0.496915 | − | 0.416961i | ||||
\(682\) | −3.49837e6 | − | 2.93548e6i | −0.288008 | − | 0.241667i | ||||
\(683\) | −1.41547e7 | + | 5.15187e6i | −1.16104 | + | 0.422584i | −0.849469 | − | 0.527638i | \(-0.823078\pi\) |
−0.311572 | + | 0.950223i | \(0.600855\pi\) | |||||||
\(684\) | −66820.8 | − | 378959.i | −0.00546099 | − | 0.0309708i | ||||
\(685\) | 2.66476e6 | + | 1.51126e7i | 0.216986 | + | 1.23059i | ||||
\(686\) | −3.50749e6 | + | 1.27662e6i | −0.284568 | + | 0.103574i | ||||
\(687\) | 1.42355e7 | + | 1.19450e7i | 1.15075 | + | 0.965591i | ||||
\(688\) | −757569. | − | 635676.i | −0.0610171 | − | 0.0511994i | ||||
\(689\) | 543363. | + | 941132.i | 0.0436056 | + | 0.0755270i | ||||
\(690\) | 8.74555e6 | + | 3.18312e6i | 0.699302 | + | 0.254525i | ||||
\(691\) | 513719. | − | 2.91345e6i | 0.0409289 | − | 0.232120i | −0.957481 | − | 0.288498i | \(-0.906844\pi\) |
0.998409 | + | 0.0563783i | \(0.0179553\pi\) | |||||||
\(692\) | 4.35934e6 | − | 7.55059e6i | 0.346063 | − | 0.599399i | ||||
\(693\) | 201089. | + | 348297.i | 0.0159058 | + | 0.0275497i | ||||
\(694\) | −2.22216e6 | + | 808802.i | −0.175137 | + | 0.0637446i | ||||
\(695\) | 1.67670e6 | − | 2.90413e6i | 0.131672 | − | 0.228062i | ||||
\(696\) | −6.82093e6 | + | 5.72344e6i | −0.533728 | + | 0.447851i | ||||
\(697\) | −2.49450e6 | −0.194492 | ||||||||
\(698\) | 2.73296e6 | − | 2.29322e6i | 0.212322 | − | 0.178159i | ||||
\(699\) | 2.37550e7 | + | 8.64613e6i | 1.83892 | + | 0.669312i | ||||
\(700\) | 58052.0 | + | 329229.i | 0.00447788 | + | 0.0253953i | ||||
\(701\) | 3.77306e6 | − | 2.13981e7i | 0.290000 | − | 1.64467i | −0.396857 | − | 0.917881i | \(-0.629899\pi\) |
0.686857 | − | 0.726793i | \(-0.258990\pi\) | |||||||
\(702\) | 1.94945e6 | 0.149303 | ||||||||
\(703\) | 5.72981e6 | + | 5.55626e6i | 0.437273 | + | 0.424028i | ||||
\(704\) | 2.30792e6 | 0.175504 | ||||||||
\(705\) | 1.94335e6 | − | 1.10213e7i | 0.147258 | − | 0.835142i | ||||
\(706\) | −1.70309e6 | − | 9.65872e6i | −0.128596 | − | 0.729302i | ||||
\(707\) | −1.54086e6 | − | 560828.i | −0.115935 | − | 0.0421970i | ||||
\(708\) | 1.50670e6 | − | 1.26427e6i | 0.112965 | − | 0.0947890i | ||||
\(709\) | 1.38097e6 | 0.103174 | 0.0515868 | − | 0.998669i | \(-0.483572\pi\) | ||||
0.0515868 | + | 0.998669i | \(0.483572\pi\) | |||||||
\(710\) | −1.87389e6 | + | 1.57238e6i | −0.139508 | + | 0.117061i | ||||
\(711\) | −134117. | + | 232298.i | −0.00994970 | + | 0.0172334i | ||||
\(712\) | 1.10103e6 | − | 400741.i | 0.0813951 | − | 0.0296254i | ||||
\(713\) | −2.94455e6 | − | 5.10012e6i | −0.216918 | − | 0.375713i | ||||
\(714\) | 668025. | − | 1.15705e6i | 0.0490396 | − | 0.0849391i | ||||
\(715\) | −653443. | + | 3.70586e6i | −0.0478016 | + | 0.271097i | ||||
\(716\) | 1.04265e7 | + | 3.79495e6i | 0.760077 | + | 0.276646i | ||||
\(717\) | −6.13814e6 | − | 1.06316e7i | −0.445901 | − | 0.772324i | ||||
\(718\) | 2.57807e6 | + | 2.16326e6i | 0.186631 | + | 0.156602i | ||||
\(719\) | 1.05620e7 | + | 8.86259e6i | 0.761947 | + | 0.639349i | 0.938633 | − | 0.344918i | \(-0.112093\pi\) |
−0.176686 | + | 0.984267i | \(0.556538\pi\) | |||||||
\(720\) | 295130. | − | 107418.i | 0.0212169 | − | 0.00772232i | ||||
\(721\) | −353499. | − | 2.00479e6i | −0.0253250 | − | 0.143625i | ||||
\(722\) | −1.08179e6 | − | 6.13515e6i | −0.0772327 | − | 0.438008i | ||||
\(723\) | −2.15317e7 | + | 7.83691e6i | −1.53191 | + | 0.557570i | ||||
\(724\) | 7.15058e6 | + | 6.00005e6i | 0.506985 | + | 0.425411i | ||||
\(725\) | −4.78118e6 | − | 4.01189e6i | −0.337824 | − | 0.283468i | ||||
\(726\) | 5.12267e6 | + | 8.87273e6i | 0.360708 | + | 0.624764i | ||||
\(727\) | 6.98361e6 | + | 2.54182e6i | 0.490054 | + | 0.178365i | 0.575215 | − | 0.818002i | \(-0.304918\pi\) |
−0.0851613 | + | 0.996367i | \(0.527141\pi\) | |||||||
\(728\) | −43181.7 | + | 244896.i | −0.00301975 | + | 0.0171259i | ||||
\(729\) | −6.28850e6 | + | 1.08920e7i | −0.438257 | + | 0.759083i | ||||
\(730\) | −724028. | − | 1.25405e6i | −0.0502861 | − | 0.0870982i | ||||
\(731\) | −2.60329e6 | + | 947519.i | −0.180189 | + | 0.0655835i | ||||
\(732\) | 5.72904e6 | − | 9.92299e6i | 0.395189 | − | 0.684487i | ||||
\(733\) | −8.78649e6 | + | 7.37274e6i | −0.604026 | + | 0.506838i | −0.892737 | − | 0.450579i | \(-0.851218\pi\) |
0.288711 | + | 0.957416i | \(0.406773\pi\) | |||||||
\(734\) | 1.96870e7 | 1.34877 | ||||||||
\(735\) | −9.81068e6 | + | 8.23214e6i | −0.669855 | + | 0.562075i | ||||
\(736\) | 2.79669e6 | + | 1.01791e6i | 0.190305 | + | 0.0692652i | ||||
\(737\) | −125731. | − | 713056.i | −0.00852655 | − | 0.0483565i | ||||
\(738\) | 60625.1 | − | 343822.i | 0.00409743 | − | 0.0232377i | ||||
\(739\) | 2.33343e7 | 1.57175 | 0.785874 | − | 0.618386i | \(-0.212213\pi\) | ||||
0.785874 | + | 0.618386i | \(0.212213\pi\) | |||||||
\(740\) | −3.65394e6 | + | 5.39299e6i | −0.245291 | + | 0.362035i | ||||
\(741\) | 2.14365e6 | 0.143420 | ||||||||
\(742\) | 157190. | − | 891471.i | 0.0104813 | − | 0.0594426i | ||||
\(743\) | 1.73193e6 | + | 9.82226e6i | 0.115096 | + | 0.652739i | 0.986703 | + | 0.162534i | \(0.0519669\pi\) |
−0.871607 | + | 0.490205i | \(0.836922\pi\) | |||||||
\(744\) | −1.99526e6 | − | 726216.i | −0.132150 | − | 0.0480987i | ||||
\(745\) | −856450. | + | 718647.i | −0.0565342 | + | 0.0474378i | ||||
\(746\) | 6.39565e6 | 0.420763 | ||||||||
\(747\) | −1.23884e6 | + | 1.03951e6i | −0.0812297 | + | 0.0681598i | ||||
\(748\) | 3.23264e6 | − | 5.59910e6i | 0.211253 | − | 0.365901i | ||||
\(749\) | −1.46357e6 | + | 532695.i | −0.0953253 | + | 0.0346956i | ||||
\(750\) | 6.17943e6 | + | 1.07031e7i | 0.401140 | + | 0.694794i | ||||
\(751\) | 1.21321e7 | − | 2.10134e7i | 0.784940 | − | 1.35956i | −0.144094 | − | 0.989564i | \(-0.546027\pi\) |
0.929035 | − | 0.369993i | \(-0.120640\pi\) | |||||||
\(752\) | 621453. | − | 3.52443e6i | 0.0400741 | − | 0.227271i | ||||
\(753\) | 5.99309e6 | + | 2.18130e6i | 0.385179 | + | 0.140194i | ||||
\(754\) | −2.32131e6 | − | 4.02063e6i | −0.148698 | − | 0.257553i | ||||
\(755\) | 1.67105e7 | + | 1.40218e7i | 1.06690 | + | 0.895233i | ||||
\(756\) | −1.24394e6 | − | 1.04379e6i | −0.0791583 | − | 0.0664217i | ||||
\(757\) | −7.48813e6 | + | 2.72546e6i | −0.474935 | + | 0.172862i | −0.568386 | − | 0.822762i | \(-0.692432\pi\) |
0.0934518 | + | 0.995624i | \(0.470210\pi\) | |||||||
\(758\) | −34180.1 | − | 193845.i | −0.00216073 | − | 0.0122541i | ||||
\(759\) | 4.65619e6 | + | 2.64066e7i | 0.293377 | + | 1.66382i | ||||
\(760\) | −2.81826e6 | + | 1.02576e6i | −0.176990 | + | 0.0644189i | ||||
\(761\) | −8.28898e6 | − | 6.95528e6i | −0.518847 | − | 0.435365i | 0.345382 | − | 0.938462i | \(-0.387749\pi\) |
−0.864230 | + | 0.503097i | \(0.832194\pi\) | |||||||
\(762\) | 5.60317e6 | + | 4.70162e6i | 0.349580 | + | 0.293332i | ||||
\(763\) | −557855. | − | 966233.i | −0.0346904 | − | 0.0600856i | ||||
\(764\) | −1.35116e7 | − | 4.91780e6i | −0.837475 | − | 0.304816i | ||||
\(765\) | 152779. | − | 866455.i | 0.00943868 | − | 0.0535294i | ||||
\(766\) | 2.03925e6 | − | 3.53208e6i | 0.125573 | − | 0.217500i | ||||
\(767\) | 512765. | + | 888135.i | 0.0314724 | + | 0.0545118i | ||||
\(768\) | 1.00834e6 | − | 367007.i | 0.0616886 | − | 0.0224528i | ||||
\(769\) | 8.68903e6 | − | 1.50498e7i | 0.529853 | − | 0.917732i | −0.469541 | − | 0.882911i | \(-0.655580\pi\) |
0.999394 | − | 0.0348213i | \(-0.0110862\pi\) | |||||||
\(770\) | 2.40120e6 | − | 2.01484e6i | 0.145949 | − | 0.122466i | ||||
\(771\) | −6.91926e6 | −0.419202 | ||||||||
\(772\) | 3.28311e6 | − | 2.75486e6i | 0.198263 | − | 0.166363i | ||||
\(773\) | 2.04772e7 | + | 7.45308e6i | 1.23260 | + | 0.448629i | 0.874486 | − | 0.485051i | \(-0.161199\pi\) |
0.358111 | + | 0.933679i | \(0.383421\pi\) | |||||||
\(774\) | −67329.4 | − | 381844.i | −0.00403973 | − | 0.0229105i | ||||
\(775\) | 258450. | − | 1.46574e6i | 0.0154569 | − | 0.0876603i | ||||
\(776\) | −6.09732e6 | −0.363483 | ||||||||
\(777\) | −3.86844e6 | − | 278583.i | −0.229871 | − | 0.0165540i | ||||
\(778\) | 1.54049e6 | 0.0912449 | ||||||||
\(779\) | −578924. | + | 3.28324e6i | −0.0341804 | + | 0.193847i | ||||
\(780\) | 303816. | + | 1.72303e6i | 0.0178803 | + | 0.101404i | ||||
\(781\) | −6.62269e6 | − | 2.41046e6i | −0.388514 | − | 0.141408i | ||||
\(782\) | 6.38674e6 | − | 5.35912e6i | 0.373476 | − | 0.313384i | ||||
\(783\) | 3.03167e7 | 1.76716 | ||||||||
\(784\) | −3.13730e6 | + | 2.63251e6i | −0.182291 | + | 0.152960i | ||||
\(785\) | −2.59632e6 | + | 4.49696e6i | −0.150378 | + | 0.260462i | ||||
\(786\) | −1.87276e7 | + | 6.81628e6i | −1.08125 | + | 0.393542i | ||||
\(787\) | 3.23255e6 | + | 5.59895e6i | 0.186041 | + | 0.322233i | 0.943927 | − | 0.330155i | \(-0.107101\pi\) |
−0.757886 | + | 0.652387i | \(0.773768\pi\) | |||||||
\(788\) | 6.31797e6 | − | 1.09431e7i | 0.362462 | − | 0.627802i | ||||
\(789\) | −5.37846e6 | + | 3.05028e7i | −0.307585 | + | 1.74440i | ||||
\(790\) | 1.96451e6 | + | 715023.i | 0.111992 | + | 0.0407617i | ||||
\(791\) | 1.51281e6 | + | 2.62026e6i | 0.0859691 | + | 0.148903i | ||||
\(792\) | 693171. | + | 581639.i | 0.0392669 | + | 0.0329489i | ||||
\(793\) | 4.57657e6 | + | 3.84020e6i | 0.258439 | + | 0.216856i | ||||
\(794\) | −9.75312e6 | + | 3.54985e6i | −0.549026 | + | 0.199829i | ||||
\(795\) | −1.10595e6 | − | 6.27217e6i | −0.0620610 | − | 0.351965i | ||||
\(796\) | −522232. | − | 2.96173e6i | −0.0292133 | − | 0.165677i | ||||
\(797\) | −1.68914e7 | + | 6.14795e6i | −0.941930 | + | 0.342835i | −0.766928 | − | 0.641733i | \(-0.778216\pi\) |
−0.175003 | + | 0.984568i | \(0.555993\pi\) | |||||||
\(798\) | −1.36787e6 | − | 1.14778e6i | −0.0760391 | − | 0.0638044i | ||||
\(799\) | −7.67997e6 | − | 6.44426e6i | −0.425591 | − | 0.357113i | ||||
\(800\) | 376084. | + | 651396.i | 0.0207759 | + | 0.0359849i | ||||
\(801\) | 431682. | + | 157120.i | 0.0237729 | + | 0.00865264i | ||||
\(802\) | −1.56639e6 | + | 8.88345e6i | −0.0859932 | + | 0.487692i | ||||
\(803\) | 2.08600e6 | − | 3.61306e6i | 0.114163 | − | 0.197736i | ||||
\(804\) | −168323. | − | 291545.i | −0.00918342 | − | 0.0159061i | ||||
\(805\) | 3.79837e6 | − | 1.38249e6i | 0.206589 | − | 0.0751924i | ||||
\(806\) | 553552. | − | 958780.i | 0.0300138 | − | 0.0519854i | ||||
\(807\) | −1.64991e7 | + | 1.38444e7i | −0.891819 | + | 0.748325i | ||||
\(808\) | −3.68931e6 | −0.198800 | ||||||||
\(809\) | −7.74344e6 | + | 6.49751e6i | −0.415970 | + | 0.349041i | −0.826628 | − | 0.562749i | \(-0.809744\pi\) |
0.410657 | + | 0.911790i | \(0.365299\pi\) | |||||||
\(810\) | −1.18566e7 | − | 4.31545e6i | −0.634962 | − | 0.231107i | ||||
\(811\) | 1.48704e6 | + | 8.43344e6i | 0.0793911 | + | 0.450249i | 0.998427 | + | 0.0560744i | \(0.0178584\pi\) |
−0.919036 | + | 0.394175i | \(0.871030\pi\) | |||||||
\(812\) | −671537. | + | 3.80848e6i | −0.0357421 | + | 0.202703i | ||||
\(813\) | −1.40407e7 | −0.745012 | ||||||||
\(814\) | −1.87198e7 | − | 1.34809e6i | −0.990239 | − | 0.0713113i | ||||
\(815\) | 9.80093e6 | 0.516860 | ||||||||
\(816\) | 521988. | − | 2.96034e6i | 0.0274432 | − | 0.155638i | ||||
\(817\) | 642945. | + | 3.64632e6i | 0.0336991 | + | 0.191117i | ||||
\(818\) | −1.88398e7 | − | 6.85714e6i | −0.984451 | − | 0.358311i | ||||
\(819\) | −74687.8 | + | 62670.5i | −0.00389081 | + | 0.00326478i | ||||
\(820\) | −2.72105e6 | −0.141320 | ||||||||
\(821\) | −5.62802e6 | + | 4.72247e6i | −0.291406 | + | 0.244518i | −0.776756 | − | 0.629801i | \(-0.783136\pi\) |
0.485351 | + | 0.874320i | \(0.338692\pi\) | |||||||
\(822\) | −1.02783e7 | + | 1.78025e7i | −0.530567 | + | 0.918968i | ||||
\(823\) | −9.10350e6 | + | 3.31340e6i | −0.468499 | + | 0.170520i | −0.565472 | − | 0.824767i | \(-0.691306\pi\) |
0.0969733 | + | 0.995287i | \(0.469084\pi\) | |||||||
\(824\) | −2.29010e6 | − | 3.96657e6i | −0.117500 | − | 0.203516i | ||||
\(825\) | −3.38834e6 | + | 5.86877e6i | −0.173321 | + | 0.300201i | ||||
\(826\) | 148339. | − | 841270.i | 0.00756492 | − | 0.0429028i | ||||
\(827\) | −1.48937e7 | − | 5.42085e6i | −0.757248 | − | 0.275616i | −0.0655955 | − | 0.997846i | \(-0.520895\pi\) |
−0.691652 | + | 0.722231i | \(0.743117\pi\) | |||||||
\(828\) | 583437. | + | 1.01054e6i | 0.0295746 | + | 0.0512247i | ||||
\(829\) | 8.33922e6 | + | 6.99744e6i | 0.421443 | + | 0.353633i | 0.828712 | − | 0.559676i | \(-0.189074\pi\) |
−0.407269 | + | 0.913308i | \(0.633519\pi\) | |||||||
\(830\) | 9.65542e6 | + | 8.10186e6i | 0.486492 | + | 0.408215i | ||||
\(831\) | 9.10659e6 | − | 3.31453e6i | 0.457460 | − | 0.166502i | ||||
\(832\) | 97155.4 | + | 550996.i | 0.00486585 | + | 0.0275956i | ||||
\(833\) | 1.99223e6 | + | 1.12985e7i | 0.0994780 | + | 0.564168i | ||||
\(834\) | 4.22116e6 | − | 1.53638e6i | 0.210144 | − | 0.0764861i | ||||
\(835\) | −2.14343e7 | − | 1.79855e7i | −1.06388 | − | 0.892703i | ||||
\(836\) | −6.61925e6 | − | 5.55421e6i | −0.327562 | − | 0.274857i | ||||
\(837\) | 3.61473e6 | + | 6.26090e6i | 0.178346 | + | 0.308904i | ||||
\(838\) | 9.20785e6 | + | 3.35138e6i | 0.452948 | + | 0.164860i | ||||
\(839\) | 2.58723e6 | − | 1.46729e7i | 0.126891 | − | 0.719632i | −0.853276 | − | 0.521459i | \(-0.825388\pi\) |
0.980167 | − | 0.198173i | \(-0.0635009\pi\) | |||||||
\(840\) | 728696. | − | 1.26214e6i | 0.0356326 | − | 0.0617175i | ||||
\(841\) | −2.58441e7 | − | 4.47634e7i | −1.26000 | − | 2.18239i | ||||
\(842\) | 1.64677e7 | − | 5.99376e6i | 0.800486 | − | 0.291353i | ||||
\(843\) | 1.73392e7 | − | 3.00324e7i | 0.840351 | − | 1.45553i | ||||
\(844\) | −8.83888e6 | + | 7.41670e6i | −0.427111 | + | 0.358389i | ||||
\(845\) | 1.72411e7 | 0.830661 | ||||||||
\(846\) | 1.07488e6 | − | 901928.i | 0.0516336 | − | 0.0433257i | ||||
\(847\) | 4.18141e6 | + | 1.52191e6i | 0.200269 | + | 0.0728921i | ||||
\(848\) | −353666. | − | 2.00574e6i | −0.0168890 | − | 0.0957822i | ||||
\(849\) | 803306. | − | 4.55577e6i | 0.0382483 | − | 0.216917i | ||||
\(850\) | 2.10708e6 | 0.100031 | ||||||||
\(851\) | −2.20897e7 | − | 9.88999e6i | −1.04560 | − | 0.468136i | ||||
\(852\) | −3.27681e6 | −0.154651 | ||||||||
\(853\) | 2.20041e6 | − | 1.24792e7i | 0.103546 | − | 0.587237i | −0.888246 | − | 0.459369i | \(-0.848076\pi\) |
0.991791 | − | 0.127868i | \(-0.0408133\pi\) | |||||||
\(854\) | −864157. | − | 4.90088e6i | −0.0405460 | − | 0.229948i | ||||
\(855\) | −1.10496e6 | − | 402174.i | −0.0516931 | − | 0.0188148i | ||||
\(856\) | −2.68441e6 | + | 2.25248e6i | −0.125217 | + | 0.105070i | ||||
\(857\) | 3.95035e7 | 1.83731 | 0.918657 | − | 0.395056i | \(-0.129275\pi\) | ||||
0.918657 | + | 0.395056i | \(0.129275\pi\) | |||||||
\(858\) | −3.86148e6 | + | 3.24016e6i | −0.179075 | + | 0.150262i | ||||
\(859\) | 3.97471e6 | − | 6.88440e6i | 0.183790 | − | 0.318334i | −0.759378 | − | 0.650650i | \(-0.774497\pi\) |
0.943168 | + | 0.332316i | \(0.107830\pi\) | |||||||
\(860\) | −2.83972e6 | + | 1.03357e6i | −0.130927 | + | 0.0476535i | ||||
\(861\) | −810030. | − | 1.40301e6i | −0.0372386 | − | 0.0644992i | ||||
\(862\) | −2.36686e6 | + | 4.09952e6i | −0.108494 | + | 0.187916i | ||||
\(863\) | 1.64554e6 | − | 9.33233e6i | 0.0752111 | − | 0.426543i | −0.923832 | − | 0.382799i | \(-0.874960\pi\) |
0.999043 | − | 0.0437443i | \(-0.0139287\pi\) | |||||||
\(864\) | −3.43321e6 | − | 1.24959e6i | −0.156464 | − | 0.0569484i | ||||
\(865\) | −1.33211e7 | − | 2.30729e7i | −0.605342 | − | 1.04848i | ||||
\(866\) | 8.92173e6 | + | 7.48622e6i | 0.404254 | + | 0.339210i | ||||
\(867\) | 1.13583e7 | + | 9.53074e6i | 0.513175 | + | 0.430605i | ||||
\(868\) | −866583. | + | 315410.i | −0.0390401 | + | 0.0142094i | ||||
\(869\) | 1.04592e6 | + | 5.93170e6i | 0.0469838 | + | 0.266459i | ||||
\(870\) | 4.72477e6 | + | 2.67955e7i | 0.211632 | + | 1.20023i | ||||
\(871\) | 164943. | − | 60034.5i | 0.00736698 | − | 0.00268136i | ||||
\(872\) | −1.92297e6 | − | 1.61356e6i | −0.0856409 | − | 0.0718612i | ||||
\(873\) | −1.83130e6 | − | 1.53664e6i | −0.0813249 | − | 0.0682397i | ||||
\(874\) | −5.57138e6 | − | 9.64992e6i | −0.246709 | − | 0.427312i | ||||
\(875\) | 5.04400e6 | + | 1.83586e6i | 0.222718 | + | 0.0810626i | ||||
\(876\) | 336835. | − | 1.91029e6i | 0.0148305 | − | 0.0841082i | ||||
\(877\) | 208073. | − | 360393.i | 0.00913516 | − | 0.0158226i | −0.861422 | − | 0.507890i | \(-0.830425\pi\) |
0.870557 | + | 0.492068i | \(0.163759\pi\) | |||||||
\(878\) | 1.05694e7 | + | 1.83067e7i | 0.462713 | + | 0.801443i | ||||
\(879\) | 2.87980e7 | − | 1.04816e7i | 1.25716 | − | 0.457569i | ||||
\(880\) | 3.52623e6 | − | 6.10761e6i | 0.153498 | − | 0.265867i | ||||
\(881\) | 1.56404e7 | − | 1.31239e7i | 0.678904 | − | 0.569668i | −0.236782 | − | 0.971563i | \(-0.576093\pi\) |
0.915686 | + | 0.401895i | \(0.131648\pi\) | |||||||
\(882\) | −1.60571e6 | −0.0695019 | ||||||||
\(883\) | −2.40448e6 | + | 2.01760e6i | −0.103781 | + | 0.0870829i | −0.693202 | − | 0.720743i | \(-0.743801\pi\) |
0.589421 | + | 0.807826i | \(0.299356\pi\) | |||||||
\(884\) | 1.47282e6 | + | 536063.i | 0.0633898 | + | 0.0230720i | ||||
\(885\) | −1.04367e6 | − | 5.91897e6i | −0.0447926 | − | 0.254032i | ||||
\(886\) | 741084. | − | 4.20290e6i | 0.0317164 | − | 0.179872i | ||||
\(887\) | −1.47340e7 | −0.628800 | −0.314400 | − | 0.949291i | \(-0.601803\pi\) | ||||
−0.314400 | + | 0.949291i | \(0.601803\pi\) | |||||||
\(888\) | −8.39317e6 | + | 2.38785e6i | −0.357185 | + | 0.101619i | ||||
\(889\) | 3.17680e6 | 0.134814 | ||||||||
\(890\) | 621732. | − | 3.52602e6i | 0.0263105 | − | 0.149214i | ||||
\(891\) | −6.31253e6 | − | 3.58001e7i | −0.266385 | − | 1.51074i | ||||
\(892\) | −1.50736e7 | − | 5.48632e6i | −0.634313 | − | 0.230871i | ||||
\(893\) | −1.02642e7 | + | 8.61273e6i | −0.430723 | + | 0.361420i | ||||
\(894\) | −1.49765e6 | −0.0626709 | ||||||||
\(895\) | 2.59734e7 | − | 2.17943e7i | 1.08386 | − | 0.909464i | ||||
\(896\) | 233025. | − | 403611.i | 0.00969690 | − | 0.0167955i | ||||
\(897\) | −6.10834e6 | + | 2.22325e6i | −0.253479 | + | 0.0922588i | ||||
\(898\) | −1.17021e7 | − | 2.02686e7i | −0.484254 | − | 0.838753i | ||||
\(899\) | 8.60852e6 | − | 1.49104e7i | 0.355246 | − | 0.615304i | ||||
\(900\) | −51209.5 | + | 290424.i | −0.00210739 | + | 0.0119516i | ||||
\(901\) | −5.36138e6 | − | 1.95138e6i | −0.220021 | − | 0.0800811i | ||||
\(902\) | −3.91982e6 | − | 6.78932e6i | −0.160417 | − | 0.277850i | ||||
\(903\) | −1.37828e6 | − | 1.15651e6i | −0.0562495 | − | 0.0471989i | ||||
\(904\) | 5.21477e6 | + | 4.37571e6i | 0.212233 | + | 0.178085i | ||||
\(905\) | 2.68037e7 | − | 9.75574e6i | 1.08786 | − | 0.395948i | ||||
\(906\) | 5.07420e6 | + | 2.87772e7i | 0.205375 | + | 1.16474i | ||||
\(907\) | 4.47500e6 | + | 2.53790e7i | 0.180624 | + | 1.02437i | 0.931450 | + | 0.363868i | \(0.118544\pi\) |
−0.750827 | + | 0.660499i | \(0.770345\pi\) | |||||||
\(908\) | −7.20874e6 | + | 2.62377e6i | −0.290165 | + | 0.105611i | ||||
\(909\) | −1.10807e6 | − | 929778.i | −0.0444791 | − | 0.0373224i | ||||
\(910\) | 582109. | + | 488448.i | 0.0233024 | + | 0.0195531i | ||||
\(911\) | 2.71686e6 | + | 4.70574e6i | 0.108460 | + | 0.187859i | 0.915147 | − | 0.403121i | \(-0.132075\pi\) |
−0.806686 | + | 0.590980i | \(0.798741\pi\) | |||||||
\(912\) | −3.77523e6 | − | 1.37407e6i | −0.150299 | − | 0.0547044i | ||||
\(913\) | −6.30589e6 | + | 3.57625e7i | −0.250363 | + | 1.41988i | ||||
\(914\) | 9.66183e6 | − | 1.67348e7i | 0.382555 | − | 0.662605i | ||||
\(915\) | −1.75066e7 | − | 3.03224e7i | −0.691274 | − | 1.19732i | ||||
\(916\) | 1.70640e7 | − | 6.21079e6i | 0.671958 | − | 0.244573i | ||||
\(917\) | −4.32789e6 | + | 7.49612e6i | −0.169962 | + | 0.294383i | ||||
\(918\) | −7.84036e6 | + | 6.57884e6i | −0.307064 | + | 0.257657i | ||||
\(919\) | 115957. | 0.00452908 | 0.00226454 | − | 0.999997i | \(-0.499279\pi\) | ||||
0.00226454 | + | 0.999997i | \(0.499279\pi\) | |||||||
\(920\) | 6.96679e6 | − | 5.84583e6i | 0.271371 | − | 0.227707i | ||||
\(921\) | 5.07661e6 | + | 1.84774e6i | 0.197208 | + | 0.0717779i | ||||
\(922\) | −1.77322e6 | − | 1.00564e7i | −0.0686965 | − | 0.389597i | ||||
\(923\) | 296685. | − | 1.68258e6i | 0.0114628 | − | 0.0650089i | ||||
\(924\) | 4.19890e6 | 0.161791 | ||||||||
\(925\) | −2.66997e6 | − | 5.50323e6i | −0.102601 | − | 0.211477i | ||||
\(926\) | −6.81915e6 | −0.261338 | ||||||||
\(927\) | 311833. | − | 1.76849e6i | 0.0119185 | − | 0.0675933i | ||||
\(928\) | 1.51090e6 | + | 8.56877e6i | 0.0575927 | + | 0.326624i | ||||
\(929\) | −3.12866e7 | − | 1.13874e7i | −1.18938 | − | 0.432897i | −0.329871 | − | 0.944026i | \(-0.607005\pi\) |
−0.859504 | + | 0.511129i | \(0.829228\pi\) | |||||||
\(930\) | −4.97037e6 | + | 4.17064e6i | −0.188444 | + | 0.158123i | ||||
\(931\) | 1.53333e7 | 0.579779 | ||||||||
\(932\) | 1.89235e7 | − | 1.58787e7i | 0.713611 | − | 0.598791i | ||||
\(933\) | 1.78991e7 | − | 3.10022e7i | 0.673175 | − | 1.16597i | ||||
\(934\) | −2.94862e7 | + | 1.07321e7i | −1.10599 | + | 0.402547i | ||||
\(935\) | −9.87821e6 | − | 1.71096e7i | −0.369530 | − | 0.640044i | ||||
\(936\) | −109681. | + | 189974.i | −0.00409207 | + | 0.00708768i | ||||
\(937\) | 268072. | − | 1.52031e6i | 0.00997475 | − | 0.0565696i | −0.979414 | − | 0.201861i | \(-0.935301\pi\) |
0.989389 | + | 0.145292i | \(0.0464121\pi\) | |||||||
\(938\) | −137395. | − | 50007.7i | −0.00509875 | − | 0.00185579i | ||||
\(939\) | 2.32276e7 | + | 4.02314e7i | 0.859687 | + | 1.48902i | ||||
\(940\) | −8.37747e6 | − | 7.02953e6i | −0.309238 | − | 0.259482i | ||||
\(941\) | 3.51429e7 | + | 2.94884e7i | 1.29379 | + | 1.08562i | 0.991183 | + | 0.132501i | \(0.0423009\pi\) |
0.302606 | + | 0.953116i | \(0.402144\pi\) | |||||||
\(942\) | −6.53635e6 | + | 2.37904e6i | −0.239998 | + | 0.0873522i | ||||
\(943\) | −1.75551e6 | − | 9.95602e6i | −0.0642873 | − | 0.364591i | ||||
\(944\) | −333750. | − | 1.89279e6i | −0.0121897 | − | 0.0691310i | ||||
\(945\) | −4.66288e6 | + | 1.69715e6i | −0.169853 | + | 0.0618216i | ||||
\(946\) | −6.66964e6 | − | 5.59649e6i | −0.242312 | − | 0.203324i | ||||
\(947\) | 2.22876e7 | + | 1.87015e7i | 0.807585 | + | 0.677644i | 0.950030 | − | 0.312158i | \(-0.101052\pi\) |
−0.142445 | + | 0.989803i | \(0.545496\pi\) | |||||||
\(948\) | 1.40023e6 | + | 2.42527e6i | 0.0506034 | + | 0.0876476i | ||||
\(949\) | 950402. | + | 345918.i | 0.0342564 | + | 0.0124683i | ||||
\(950\) | 489012. | − | 2.77333e6i | 0.0175797 | − | 0.0996993i | ||||
\(951\) | 1.23987e7 | − | 2.14752e7i | 0.444554 | − | 0.769990i | ||||
\(952\) | −652785. | − | 1.13066e6i | −0.0233441 | − | 0.0404332i | ||||
\(953\) | −2.09495e7 | + | 7.62498e6i | −0.747206 | + | 0.271961i | −0.687430 | − | 0.726251i | \(-0.741261\pi\) |
−0.0597766 | + | 0.998212i | \(0.519039\pi\) | |||||||
\(954\) | 399263. | − | 691544.i | 0.0142033 | − | 0.0246008i | ||||
\(955\) | −3.36585e7 | + | 2.82428e7i | −1.19422 | + | 1.00207i | ||||
\(956\) | −1.19962e7 | −0.424521 | ||||||||
\(957\) | −6.00514e7 | + | 5.03891e7i | −2.11955 | + | 1.77851i | ||||
\(958\) | −2.17193e7 | − | 7.90519e6i | −0.764597 | − | 0.278291i | ||||
\(959\) | 1.55035e6 | + | 8.79248e6i | 0.0544357 | + | 0.308720i | ||||
\(960\) | 569395. | − | 3.22920e6i | 0.0199405 | − | 0.113088i | ||||
\(961\) | −2.45235e7 | −0.856592 | ||||||||
\(962\) | −466194. | − | 4.52595e6i | −0.0162416 | − | 0.157678i | ||||
\(963\) | −1.37392e6 | −0.0477413 | ||||||||
\(964\) | −3.88813e6 | + | 2.20507e7i | −0.134756 | + | 0.764240i | ||||
\(965\) | −2.27417e6 | − | 1.28974e7i | −0.0786148 | − | 0.445847i | ||||
\(966\) | 5.08814e6 | + | 1.85193e6i | 0.175435 | + | 0.0638531i | ||||
\(967\) | 7.32952e6 | − | 6.15020e6i | 0.252063 | − | 0.211506i | −0.507997 | − | 0.861359i | \(-0.669614\pi\) |
0.760060 | + | 0.649853i | \(0.225169\pi\) | |||||||
\(968\) | 1.00116e7 | 0.343412 | ||||||||
\(969\) | −8.62142e6 | + | 7.23423e6i | −0.294964 | + | 0.247504i | ||||
\(970\) | −9.31601e6 | + | 1.61358e7i | −0.317907 | + | 0.550632i | ||||
\(971\) | −4.52804e7 | + | 1.64807e7i | −1.54121 | + | 0.560955i | −0.966336 | − | 0.257285i | \(-0.917172\pi\) |
−0.574876 | + | 0.818240i | \(0.694950\pi\) | |||||||
\(972\) | −1.51493e6 | − | 2.62393e6i | −0.0514312 | − | 0.0890814i | ||||
\(973\) | 975498. | − | 1.68961e6i | 0.0330327 | − | 0.0572144i | ||||
\(974\) | 6.39551e6 | − | 3.62707e7i | 0.216012 | − | 1.22506i | ||||
\(975\) | −1.54376e6 | − | 561882.i | −0.0520077 | − | 0.0189293i | ||||
\(976\) | −5.59834e6 | − | 9.69662e6i | −0.188120 | − | 0.325833i | ||||
\(977\) | 3.30428e7 | + | 2.77262e7i | 1.10749 | + | 0.929296i | 0.997906 | − | 0.0646809i | \(-0.0206030\pi\) |
0.109586 | + | 0.993977i | \(0.465047\pi\) | |||||||
\(978\) | 1.00573e7 | + | 8.43910e6i | 0.336229 | + | 0.282130i | ||||
\(979\) | 9.69344e6 | − | 3.52812e6i | 0.323237 | − | 0.117649i | ||||
\(980\) | 2.17317e6 | + | 1.23246e7i | 0.0722816 | + | 0.409929i | ||||
\(981\) | −170905. | − | 969250.i | −0.00566999 | − | 0.0321561i | ||||
\(982\) | −2.18589e7 | + | 7.95600e6i | −0.723353 | + | 0.263279i | ||||
\(983\) | 4.14664e7 | + | 3.47945e7i | 1.36872 | + | 1.14849i | 0.973182 | + | 0.230037i | \(0.0738846\pi\) |
0.395533 | + | 0.918452i | \(0.370560\pi\) | |||||||
\(984\) | −2.79224e6 | − | 2.34297e6i | −0.0919316 | − | 0.0771397i | ||||
\(985\) | −1.93063e7 | − | 3.34395e7i | −0.634028 | − | 1.09817i | ||||
\(986\) | 2.29045e7 | + | 8.33655e6i | 0.750288 | + | 0.273082i | ||||
\(987\) | 1.13064e6 | − | 6.41217e6i | 0.0369429 | − | 0.209513i | ||||
\(988\) | 1.04737e6 | − | 1.81411e6i | 0.0341358 | − | 0.0591249i | ||||
\(989\) | −5.61380e6 | − | 9.72338e6i | −0.182501 | − | 0.316101i | ||||
\(990\) | 2.59832e6 | − | 945712.i | 0.0842568 | − | 0.0306670i | ||||
\(991\) | −5.35488e6 | + | 9.27493e6i | −0.173207 | + | 0.300004i | −0.939539 | − | 0.342441i | \(-0.888746\pi\) |
0.766332 | + | 0.642445i | \(0.222080\pi\) | |||||||
\(992\) | −1.58944e6 | + | 1.33370e6i | −0.0512822 | + | 0.0430308i | ||||
\(993\) | 4.80220e7 | 1.54549 | ||||||||
\(994\) | −1.09022e6 | + | 914806.i | −0.0349985 | + | 0.0293672i | ||||
\(995\) | −8.63575e6 | − | 3.14316e6i | −0.276530 | − | 0.100649i | ||||
\(996\) | 2.93190e6 | + | 1.66276e7i | 0.0936484 | + | 0.531107i | ||||
\(997\) | 3.71047e6 | − | 2.10431e7i | 0.118220 | − | 0.670460i | −0.866885 | − | 0.498508i | \(-0.833881\pi\) |
0.985105 | − | 0.171952i | \(-0.0550074\pi\) | |||||||
\(998\) | 2.81950e7 | 0.896077 | ||||||||
\(999\) | 2.71173e7 | + | 1.21409e7i | 0.859671 | + | 0.384892i |
(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 | 74.6.f.a.33.3 | yes | 48 | |
37.9 | even | 9 | inner | 74.6.f.a.9.3 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.6.f.a.9.3 | ✓ | 48 | 37.9 | even | 9 | inner | |
74.6.f.a.33.3 | yes | 48 | 1.1 | even | 1 | trivial |