Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,5,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.79098900326\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 2.11 | ||
Character | \(\chi\) | \(=\) | 27.2 |
Dual form | 27.5.f.a.14.11 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 7.34334 | + | 1.29483i | 1.83584 | + | 0.323707i | 0.980823 | − | 0.194900i | \(-0.0624382\pi\) |
0.855013 | + | 0.518607i | \(0.173549\pi\) | |||||||
\(3\) | −4.72310 | + | 7.66109i | −0.524789 | + | 0.851232i | ||||
\(4\) | 37.2130 | + | 13.5444i | 2.32581 | + | 0.846527i | ||||
\(5\) | −22.9421 | − | 27.3414i | −0.917686 | − | 1.09366i | −0.995316 | − | 0.0966730i | \(-0.969180\pi\) |
0.0776305 | − | 0.996982i | \(-0.475265\pi\) | |||||||
\(6\) | −44.6032 | + | 50.1424i | −1.23898 | + | 1.39284i | ||||
\(7\) | 14.0427 | − | 5.11111i | 0.286585 | − | 0.104308i | −0.194728 | − | 0.980857i | \(-0.562382\pi\) |
0.481313 | + | 0.876549i | \(0.340160\pi\) | |||||||
\(8\) | 152.408 | + | 87.9929i | 2.38138 | + | 1.37489i | ||||
\(9\) | −36.3846 | − | 72.3682i | −0.449193 | − | 0.893435i | ||||
\(10\) | −133.070 | − | 230.483i | −1.33070 | − | 2.30483i | ||||
\(11\) | 35.3079 | − | 42.0783i | 0.291801 | − | 0.347754i | −0.600150 | − | 0.799888i | \(-0.704892\pi\) |
0.891950 | + | 0.452133i | \(0.149337\pi\) | |||||||
\(12\) | −279.526 | + | 221.121i | −1.94115 | + | 1.53556i | ||||
\(13\) | −0.746352 | − | 4.23277i | −0.00441628 | − | 0.0250460i | 0.982520 | − | 0.186157i | \(-0.0596034\pi\) |
−0.986936 | + | 0.161111i | \(0.948492\pi\) | |||||||
\(14\) | 109.738 | − | 19.3498i | 0.559888 | − | 0.0987234i | ||||
\(15\) | 317.823 | − | 46.6257i | 1.41255 | − | 0.207226i | ||||
\(16\) | 519.869 | + | 436.222i | 2.03074 | + | 1.70399i | ||||
\(17\) | −309.675 | + | 178.791i | −1.07154 | + | 0.618655i | −0.928602 | − | 0.371077i | \(-0.878989\pi\) |
−0.142939 | + | 0.989731i | \(0.545655\pi\) | |||||||
\(18\) | −173.480 | − | 578.537i | −0.535433 | − | 1.78561i | ||||
\(19\) | −273.006 | + | 472.860i | −0.756250 | + | 1.30986i | 0.188501 | + | 0.982073i | \(0.439637\pi\) |
−0.944751 | + | 0.327790i | \(0.893696\pi\) | |||||||
\(20\) | −483.423 | − | 1328.19i | −1.20856 | − | 3.32048i | ||||
\(21\) | −27.1682 | + | 131.722i | −0.0616060 | + | 0.298690i | ||||
\(22\) | 313.762 | − | 263.278i | 0.648269 | − | 0.543962i | ||||
\(23\) | 130.510 | − | 358.573i | 0.246711 | − | 0.677832i | −0.753091 | − | 0.657917i | \(-0.771438\pi\) |
0.999802 | − | 0.0199158i | \(-0.00633981\pi\) | |||||||
\(24\) | −1393.96 | + | 752.014i | −2.42007 | + | 1.30558i | ||||
\(25\) | −112.679 | + | 639.035i | −0.180287 | + | 1.02246i | ||||
\(26\) | − | 32.0491i | − | 0.0474099i | ||||||
\(27\) | 726.268 | + | 63.0564i | 0.996252 | + | 0.0864971i | ||||
\(28\) | 591.797 | 0.754843 | ||||||||
\(29\) | 36.0636 | + | 6.35898i | 0.0428818 | + | 0.00756122i | 0.195048 | − | 0.980794i | \(-0.437514\pi\) |
−0.152166 | + | 0.988355i | \(0.548625\pi\) | |||||||
\(30\) | 2394.25 | + | 69.1376i | 2.66028 | + | 0.0768196i | ||||
\(31\) | 803.077 | + | 292.296i | 0.835668 | + | 0.304158i | 0.724183 | − | 0.689608i | \(-0.242217\pi\) |
0.111485 | + | 0.993766i | \(0.464439\pi\) | |||||||
\(32\) | 1442.80 | + | 1719.46i | 1.40898 | + | 1.67916i | ||||
\(33\) | 155.603 | + | 469.237i | 0.142886 | + | 0.430888i | ||||
\(34\) | −2505.56 | + | 911.948i | −2.16744 | + | 0.788883i | ||||
\(35\) | −461.914 | − | 266.686i | −0.377072 | − | 0.217703i | ||||
\(36\) | −373.796 | − | 3185.85i | −0.288423 | − | 2.45822i | ||||
\(37\) | 245.703 | + | 425.571i | 0.179476 | + | 0.310862i | 0.941701 | − | 0.336450i | \(-0.109226\pi\) |
−0.762225 | + | 0.647312i | \(0.775893\pi\) | |||||||
\(38\) | −2617.05 | + | 3118.88i | −1.81236 | + | 2.15989i | ||||
\(39\) | 35.9528 | + | 14.2739i | 0.0236376 | + | 0.00938458i | ||||
\(40\) | −1090.72 | − | 6185.80i | −0.681702 | − | 3.86612i | ||||
\(41\) | 2325.15 | − | 409.987i | 1.38320 | − | 0.243895i | 0.567975 | − | 0.823046i | \(-0.307727\pi\) |
0.815220 | + | 0.579151i | \(0.196616\pi\) | |||||||
\(42\) | −370.064 | + | 932.105i | −0.209787 | + | 0.528404i | ||||
\(43\) | 444.443 | + | 372.932i | 0.240369 | + | 0.201694i | 0.755012 | − | 0.655711i | \(-0.227631\pi\) |
−0.514643 | + | 0.857405i | \(0.672075\pi\) | |||||||
\(44\) | 1883.84 | − | 1087.63i | 0.973057 | − | 0.561795i | ||||
\(45\) | −1143.91 | + | 2655.09i | −0.564892 | + | 1.31115i | ||||
\(46\) | 1422.67 | − | 2464.14i | 0.672340 | − | 1.16453i | ||||
\(47\) | −1267.80 | − | 3483.25i | −0.573925 | − | 1.57684i | −0.798247 | − | 0.602330i | \(-0.794239\pi\) |
0.224323 | − | 0.974515i | \(-0.427983\pi\) | |||||||
\(48\) | −5797.33 | + | 1922.44i | −2.51620 | + | 0.834393i | ||||
\(49\) | −1668.20 | + | 1399.79i | −0.694794 | + | 0.583001i | ||||
\(50\) | −1654.88 | + | 4546.75i | −0.661953 | + | 1.81870i | ||||
\(51\) | 92.8928 | − | 3216.90i | 0.0357143 | − | 1.23679i | ||||
\(52\) | 29.5565 | − | 167.623i | 0.0109307 | − | 0.0619908i | ||||
\(53\) | 597.366i | 0.212661i | 0.994331 | + | 0.106331i | \(0.0339102\pi\) | ||||
−0.994331 | + | 0.106331i | \(0.966090\pi\) | |||||||
\(54\) | 5251.59 | + | 1403.44i | 1.80096 | + | 0.481289i | ||||
\(55\) | −1960.52 | −0.648105 | ||||||||
\(56\) | 2589.96 | + | 456.680i | 0.825880 | + | 0.145625i | ||||
\(57\) | −2333.19 | − | 4324.89i | −0.718126 | − | 1.33115i | ||||
\(58\) | 256.593 | + | 93.3924i | 0.0762763 | + | 0.0277623i | ||||
\(59\) | −2190.28 | − | 2610.27i | −0.629210 | − | 0.749863i | 0.353415 | − | 0.935467i | \(-0.385020\pi\) |
−0.982625 | + | 0.185604i | \(0.940576\pi\) | |||||||
\(60\) | 12458.7 | + | 2569.65i | 3.46074 | + | 0.713791i | ||||
\(61\) | 530.905 | − | 193.234i | 0.142678 | − | 0.0519306i | −0.269694 | − | 0.962946i | \(-0.586923\pi\) |
0.412372 | + | 0.911015i | \(0.364700\pi\) | |||||||
\(62\) | 5518.80 | + | 3186.28i | 1.43569 | + | 0.828897i | ||||
\(63\) | −880.819 | − | 830.277i | −0.221925 | − | 0.209190i | ||||
\(64\) | 2939.43 | + | 5091.23i | 0.717633 | + | 1.24298i | ||||
\(65\) | −98.6069 | + | 117.515i | −0.0233389 | + | 0.0278142i | ||||
\(66\) | 535.064 | + | 3647.25i | 0.122834 | + | 0.837292i | ||||
\(67\) | 533.761 | + | 3027.11i | 0.118904 | + | 0.674339i | 0.984743 | + | 0.174016i | \(0.0556743\pi\) |
−0.865839 | + | 0.500323i | \(0.833215\pi\) | |||||||
\(68\) | −13945.6 | + | 2458.98i | −3.01591 | + | 0.531787i | ||||
\(69\) | 2130.65 | + | 2693.43i | 0.447522 | + | 0.565727i | ||||
\(70\) | −3046.68 | − | 2556.47i | −0.621771 | − | 0.521728i | ||||
\(71\) | 1579.71 | − | 912.046i | 0.313372 | − | 0.180926i | −0.335062 | − | 0.942196i | \(-0.608757\pi\) |
0.648435 | + | 0.761270i | \(0.275424\pi\) | |||||||
\(72\) | 822.574 | − | 14231.1i | 0.158676 | − | 2.74520i | ||||
\(73\) | 2766.22 | − | 4791.24i | 0.519088 | − | 0.899087i | −0.480666 | − | 0.876904i | \(-0.659605\pi\) |
0.999754 | − | 0.0221832i | \(-0.00706171\pi\) | |||||||
\(74\) | 1253.24 | + | 3443.25i | 0.228861 | + | 0.628790i | ||||
\(75\) | −4363.51 | − | 3881.47i | −0.775735 | − | 0.690039i | ||||
\(76\) | −16564.0 | + | 13898.9i | −2.86773 | + | 2.40631i | ||||
\(77\) | 280.750 | − | 771.353i | 0.0473520 | − | 0.130098i | ||||
\(78\) | 245.531 | + | 151.371i | 0.0403569 | + | 0.0248802i | ||||
\(79\) | −423.277 | + | 2400.52i | −0.0678220 | + | 0.384638i | 0.931936 | + | 0.362624i | \(0.118119\pi\) |
−0.999758 | + | 0.0220141i | \(0.992992\pi\) | |||||||
\(80\) | − | 24221.8i | − | 3.78465i | ||||||
\(81\) | −3913.32 | + | 5266.18i | −0.596451 | + | 0.802649i | ||||
\(82\) | 17605.3 | 2.61827 | ||||||||
\(83\) | −5141.02 | − | 906.501i | −0.746266 | − | 0.131587i | −0.212431 | − | 0.977176i | \(-0.568138\pi\) |
−0.533834 | + | 0.845589i | \(0.679249\pi\) | |||||||
\(84\) | −2795.12 | + | 4533.81i | −0.396133 | + | 0.642547i | ||||
\(85\) | 11993.0 | + | 4365.10i | 1.65993 | + | 0.604166i | ||||
\(86\) | 2780.81 | + | 3314.04i | 0.375989 | + | 0.448086i | ||||
\(87\) | −219.049 | + | 246.252i | −0.0289402 | + | 0.0325343i | ||||
\(88\) | 9083.80 | − | 3306.23i | 1.17301 | − | 0.426941i | ||||
\(89\) | 3582.86 | + | 2068.56i | 0.452324 | + | 0.261149i | 0.708811 | − | 0.705398i | \(-0.249232\pi\) |
−0.256487 | + | 0.966548i | \(0.582565\pi\) | |||||||
\(90\) | −11838.0 | + | 18016.1i | −1.46148 | + | 2.22420i | ||||
\(91\) | −32.1149 | − | 55.6247i | −0.00387815 | − | 0.00671715i | ||||
\(92\) | 9713.34 | − | 11575.9i | 1.14761 | − | 1.36766i | ||||
\(93\) | −6032.32 | + | 4771.90i | −0.697459 | + | 0.551729i | ||||
\(94\) | −4799.67 | − | 27220.3i | −0.543195 | − | 3.08061i | ||||
\(95\) | 19192.0 | − | 3384.07i | 2.12654 | − | 0.374966i | ||||
\(96\) | −19987.4 | + | 2932.22i | −2.16877 | + | 0.318167i | ||||
\(97\) | −10080.0 | − | 8458.14i | −1.07132 | − | 0.898942i | −0.0761458 | − | 0.997097i | \(-0.524261\pi\) |
−0.995171 | + | 0.0981550i | \(0.968706\pi\) | |||||||
\(98\) | −14062.6 | + | 8119.07i | −1.46425 | + | 0.845385i | ||||
\(99\) | −4329.79 | − | 1024.16i | −0.441771 | − | 0.104496i | ||||
\(100\) | −12848.5 | + | 22254.2i | −1.28485 | + | 2.22542i | ||||
\(101\) | 5913.44 | + | 16247.1i | 0.579693 | + | 1.59269i | 0.788700 | + | 0.614778i | \(0.210755\pi\) |
−0.209007 | + | 0.977914i | \(0.567023\pi\) | |||||||
\(102\) | 4847.48 | − | 23502.5i | 0.465925 | − | 2.25899i | ||||
\(103\) | 9925.23 | − | 8328.26i | 0.935548 | − | 0.785018i | −0.0412568 | − | 0.999149i | \(-0.513136\pi\) |
0.976805 | + | 0.214130i | \(0.0686917\pi\) | |||||||
\(104\) | 258.704 | − | 710.783i | 0.0239186 | − | 0.0657159i | ||||
\(105\) | 4224.77 | − | 2279.18i | 0.383199 | − | 0.206728i | ||||
\(106\) | −773.487 | + | 4386.66i | −0.0688401 | + | 0.390411i | ||||
\(107\) | 10732.5i | 0.937422i | 0.883352 | + | 0.468711i | \(0.155281\pi\) | ||||
−0.883352 | + | 0.468711i | \(0.844719\pi\) | |||||||
\(108\) | 26172.6 | + | 12183.4i | 2.24387 | + | 1.04453i | ||||
\(109\) | −1507.97 | −0.126923 | −0.0634615 | − | 0.997984i | \(-0.520214\pi\) | ||||
−0.0634615 | + | 0.997984i | \(0.520214\pi\) | |||||||
\(110\) | −14396.7 | − | 2538.53i | −1.18981 | − | 0.209796i | ||||
\(111\) | −4420.82 | − | 127.658i | −0.358803 | − | 0.0103610i | ||||
\(112\) | 9529.92 | + | 3468.61i | 0.759719 | + | 0.276515i | ||||
\(113\) | −22.4010 | − | 26.6964i | −0.00175432 | − | 0.00209072i | 0.765167 | − | 0.643832i | \(-0.222657\pi\) |
−0.766921 | + | 0.641742i | \(0.778212\pi\) | |||||||
\(114\) | −11533.4 | − | 34780.3i | −0.887460 | − | 2.67623i | ||||
\(115\) | −12798.1 | + | 4658.12i | −0.967718 | + | 0.352220i | ||||
\(116\) | 1255.91 | + | 725.098i | 0.0933343 | + | 0.0538866i | ||||
\(117\) | −279.162 | + | 208.020i | −0.0203932 | + | 0.0151961i | ||||
\(118\) | −12704.1 | − | 22004.2i | −0.912389 | − | 1.58030i | ||||
\(119\) | −3434.85 | + | 4093.49i | −0.242557 | + | 0.289068i | ||||
\(120\) | 52541.6 | + | 20860.0i | 3.64872 | + | 1.44861i | ||||
\(121\) | 2018.45 | + | 11447.2i | 0.137863 | + | 0.781858i | ||||
\(122\) | 4148.83 | − | 731.550i | 0.278744 | − | 0.0491501i | ||||
\(123\) | −7840.98 | + | 19749.6i | −0.518275 | + | 1.30541i | ||||
\(124\) | 25926.0 | + | 21754.5i | 1.68613 | + | 1.41483i | ||||
\(125\) | 738.531 | − | 426.391i | 0.0472660 | − | 0.0272890i | ||||
\(126\) | −5393.09 | − | 7237.52i | −0.339701 | − | 0.455878i | ||||
\(127\) | 9282.82 | − | 16078.3i | 0.575536 | − | 0.996857i | −0.420447 | − | 0.907317i | \(-0.638127\pi\) |
0.995983 | − | 0.0895403i | \(-0.0285398\pi\) | |||||||
\(128\) | 2709.79 | + | 7445.08i | 0.165392 | + | 0.454412i | ||||
\(129\) | −4956.21 | + | 1643.52i | −0.297831 | + | 0.0987634i | ||||
\(130\) | −876.267 | + | 735.275i | −0.0518501 | + | 0.0435074i | ||||
\(131\) | 9476.12 | − | 26035.4i | 0.552189 | − | 1.51713i | −0.278525 | − | 0.960429i | \(-0.589845\pi\) |
0.830714 | − | 0.556699i | \(-0.187932\pi\) | |||||||
\(132\) | −565.092 | + | 19569.3i | −0.0324318 | + | 1.12312i | ||||
\(133\) | −1416.89 | + | 8035.58i | −0.0801001 | + | 0.454270i | ||||
\(134\) | 22920.2i | 1.27647i | ||||||||
\(135\) | −14938.1 | − | 21303.8i | −0.819648 | − | 1.16893i | ||||
\(136\) | −62929.5 | −3.40233 | ||||||||
\(137\) | −22228.3 | − | 3919.46i | −1.18431 | − | 0.208826i | −0.453406 | − | 0.891304i | \(-0.649791\pi\) |
−0.730906 | + | 0.682478i | \(0.760902\pi\) | |||||||
\(138\) | 12158.6 | + | 22537.6i | 0.638446 | + | 1.18345i | ||||
\(139\) | 18170.5 | + | 6613.53i | 0.940454 | + | 0.342297i | 0.766345 | − | 0.642429i | \(-0.222073\pi\) |
0.174109 | + | 0.984726i | \(0.444295\pi\) | |||||||
\(140\) | −13577.1 | − | 16180.5i | −0.692709 | − | 0.825538i | ||||
\(141\) | 32673.4 | + | 6739.02i | 1.64345 | + | 0.338968i | ||||
\(142\) | 12781.3 | − | 4652.01i | 0.633867 | − | 0.230709i | ||||
\(143\) | −204.460 | − | 118.045i | −0.00999853 | − | 0.00577265i | ||||
\(144\) | 12653.3 | − | 53493.7i | 0.610212 | − | 2.57975i | ||||
\(145\) | −653.513 | − | 1131.92i | −0.0310826 | − | 0.0538367i | ||||
\(146\) | 26517.1 | − | 31601.9i | 1.24400 | − | 1.48254i | ||||
\(147\) | −2844.81 | − | 19391.6i | −0.131649 | − | 0.897384i | ||||
\(148\) | 3379.25 | + | 19164.7i | 0.154275 | + | 0.874940i | ||||
\(149\) | −25568.2 | + | 4508.36i | −1.15167 | + | 0.203070i | −0.716704 | − | 0.697377i | \(-0.754350\pi\) |
−0.434965 | + | 0.900448i | \(0.643239\pi\) | |||||||
\(150\) | −27016.9 | − | 34153.0i | −1.20075 | − | 1.51791i | ||||
\(151\) | −6349.86 | − | 5328.17i | −0.278491 | − | 0.233681i | 0.492834 | − | 0.870123i | \(-0.335961\pi\) |
−0.771325 | + | 0.636442i | \(0.780405\pi\) | |||||||
\(152\) | −83216.7 | + | 48045.2i | −3.60183 | + | 2.07952i | ||||
\(153\) | 24206.2 | + | 15905.4i | 1.03406 | + | 0.679457i | ||||
\(154\) | 3060.41 | − | 5300.79i | 0.129044 | − | 0.223511i | ||||
\(155\) | −10432.5 | − | 28663.1i | −0.434237 | − | 1.19306i | ||||
\(156\) | 1144.58 | + | 1018.14i | 0.0470323 | + | 0.0418366i | ||||
\(157\) | −13957.3 | + | 11711.5i | −0.566241 | + | 0.475133i | −0.880396 | − | 0.474239i | \(-0.842723\pi\) |
0.314155 | + | 0.949372i | \(0.398279\pi\) | |||||||
\(158\) | −6216.54 | + | 17079.8i | −0.249020 | + | 0.684177i | ||||
\(159\) | −4576.47 | − | 2821.42i | −0.181024 | − | 0.111602i | ||||
\(160\) | 13911.5 | − | 78896.1i | 0.543419 | − | 3.08188i | ||||
\(161\) | − | 5702.38i | − | 0.219991i | ||||||
\(162\) | −35555.6 | + | 33604.3i | −1.35481 | + | 1.28046i | ||||
\(163\) | −45051.0 | −1.69562 | −0.847811 | − | 0.530298i | \(-0.822080\pi\) | ||||
−0.847811 | + | 0.530298i | \(0.822080\pi\) | |||||||
\(164\) | 92079.0 | + | 16236.0i | 3.42352 | + | 0.603659i | ||||
\(165\) | 9259.72 | − | 15019.7i | 0.340118 | − | 0.551688i | ||||
\(166\) | −36578.5 | − | 13313.5i | −1.32743 | − | 0.483143i | ||||
\(167\) | 29417.7 | + | 35058.6i | 1.05481 | + | 1.25708i | 0.965315 | + | 0.261089i | \(0.0840817\pi\) |
0.0894977 | + | 0.995987i | \(0.471474\pi\) | |||||||
\(168\) | −15731.3 | + | 17685.0i | −0.557373 | + | 0.626593i | ||||
\(169\) | 26821.2 | − | 9762.12i | 0.939085 | − | 0.341799i | ||||
\(170\) | 82416.8 | + | 47583.4i | 2.85179 | + | 1.64648i | ||||
\(171\) | 44153.3 | + | 2552.11i | 1.50998 | + | 0.0872785i | ||||
\(172\) | 11487.9 | + | 19897.6i | 0.388315 | + | 0.672581i | ||||
\(173\) | −22596.5 | + | 26929.5i | −0.755004 | + | 0.899779i | −0.997521 | − | 0.0703680i | \(-0.977583\pi\) |
0.242517 | + | 0.970147i | \(0.422027\pi\) | |||||||
\(174\) | −1927.40 | + | 1524.68i | −0.0636611 | + | 0.0503595i | ||||
\(175\) | 1683.86 | + | 9549.67i | 0.0549833 | + | 0.311826i | ||||
\(176\) | 36710.9 | − | 6473.12i | 1.18514 | − | 0.208972i | ||||
\(177\) | 30342.4 | − | 4451.34i | 0.968510 | − | 0.142084i | ||||
\(178\) | 23631.7 | + | 19829.4i | 0.745857 | + | 0.625848i | ||||
\(179\) | −6494.87 | + | 3749.81i | −0.202705 | + | 0.117032i | −0.597917 | − | 0.801558i | \(-0.704005\pi\) |
0.395212 | + | 0.918590i | \(0.370671\pi\) | |||||||
\(180\) | −78529.8 | + | 83310.3i | −2.42376 | + | 2.57131i | ||||
\(181\) | −1045.63 | + | 1811.08i | −0.0319168 | + | 0.0552816i | −0.881543 | − | 0.472104i | \(-0.843494\pi\) |
0.849626 | + | 0.527386i | \(0.176828\pi\) | |||||||
\(182\) | −163.807 | − | 450.055i | −0.00494525 | − | 0.0135870i | ||||
\(183\) | −1027.14 | + | 4979.98i | −0.0306709 | + | 0.148705i | ||||
\(184\) | 51442.7 | − | 43165.6i | 1.51946 | − | 1.27498i | ||||
\(185\) | 5998.73 | − | 16481.4i | 0.175273 | − | 0.481559i | ||||
\(186\) | −50476.2 | + | 27230.9i | −1.45902 | + | 0.787111i | ||||
\(187\) | −3410.75 | + | 19343.3i | −0.0975365 | + | 0.553157i | ||||
\(188\) | − | 146794.i | − | 4.15329i | ||||||
\(189\) | 10521.0 | − | 2826.56i | 0.294533 | − | 0.0791287i | ||||
\(190\) | 145315. | 4.02535 | ||||||||
\(191\) | 11234.8 | + | 1980.99i | 0.307962 | + | 0.0543021i | 0.325494 | − | 0.945544i | \(-0.394470\pi\) |
−0.0175312 | + | 0.999846i | \(0.505581\pi\) | |||||||
\(192\) | −52887.6 | − | 1527.21i | −1.43467 | − | 0.0414282i | ||||
\(193\) | −26467.5 | − | 9633.39i | −0.710557 | − | 0.258622i | −0.0386453 | − | 0.999253i | \(-0.512304\pi\) |
−0.671911 | + | 0.740631i | \(0.734526\pi\) | |||||||
\(194\) | −63069.2 | − | 75162.9i | −1.67577 | − | 1.99710i | ||||
\(195\) | −434.564 | − | 1310.47i | −0.0114284 | − | 0.0344635i | ||||
\(196\) | −81038.1 | + | 29495.4i | −2.10949 | + | 0.767791i | ||||
\(197\) | −58133.9 | − | 33563.6i | −1.49795 | − | 0.864841i | −0.497951 | − | 0.867205i | \(-0.665914\pi\) |
−0.999997 | + | 0.00236466i | \(0.999247\pi\) | |||||||
\(198\) | −30469.0 | − | 13127.1i | −0.777192 | − | 0.334842i | ||||
\(199\) | 10421.6 | + | 18050.8i | 0.263165 | + | 0.455816i | 0.967081 | − | 0.254468i | \(-0.0819002\pi\) |
−0.703916 | + | 0.710283i | \(0.748567\pi\) | |||||||
\(200\) | −73403.8 | + | 87479.2i | −1.83509 | + | 2.18698i | ||||
\(201\) | −25711.9 | − | 10208.1i | −0.636419 | − | 0.252671i | ||||
\(202\) | 22387.3 | + | 126965.i | 0.548654 | + | 3.11157i | ||||
\(203\) | 538.930 | − | 95.0279i | 0.0130780 | − | 0.00230600i | ||||
\(204\) | 47027.9 | − | 118452.i | 1.13004 | − | 2.84632i | ||||
\(205\) | −64553.6 | − | 54166.9i | −1.53608 | − | 1.28892i | ||||
\(206\) | 83668.1 | − | 48305.8i | 1.97163 | − | 1.13832i | ||||
\(207\) | −30697.9 | + | 3601.78i | −0.716420 | + | 0.0840575i | ||||
\(208\) | 1458.42 | − | 2526.06i | 0.0337098 | − | 0.0583871i | ||||
\(209\) | 10257.9 | + | 28183.3i | 0.234836 | + | 0.645208i | ||||
\(210\) | 33975.1 | − | 11266.4i | 0.770410 | − | 0.255475i | ||||
\(211\) | 30301.2 | − | 25425.8i | 0.680606 | − | 0.571096i | −0.235578 | − | 0.971856i | \(-0.575698\pi\) |
0.916183 | + | 0.400760i | \(0.131254\pi\) | |||||||
\(212\) | −8090.98 | + | 22229.8i | −0.180024 | + | 0.494611i | ||||
\(213\) | −473.863 | + | 16410.0i | −0.0104446 | + | 0.361700i | ||||
\(214\) | −13896.8 | + | 78812.7i | −0.303450 | + | 1.72095i | ||||
\(215\) | − | 20707.5i | − | 0.447972i | ||||||
\(216\) | 105141. | + | 73516.7i | 2.25353 | + | 1.57572i | ||||
\(217\) | 12771.3 | 0.271216 | ||||||||
\(218\) | −11073.6 | − | 1952.57i | −0.233010 | − | 0.0410859i | ||||
\(219\) | 23640.9 | + | 43821.8i | 0.492920 | + | 0.913696i | ||||
\(220\) | −72956.7 | − | 26554.1i | −1.50737 | − | 0.548638i | ||||
\(221\) | 987.910 | + | 1177.34i | 0.0202271 | + | 0.0241057i | ||||
\(222\) | −32298.3 | − | 6661.64i | −0.655350 | − | 0.135168i | ||||
\(223\) | 52481.4 | − | 19101.7i | 1.05535 | − | 0.384115i | 0.244669 | − | 0.969607i | \(-0.421321\pi\) |
0.810678 | + | 0.585492i | \(0.199098\pi\) | |||||||
\(224\) | 29049.1 | + | 16771.5i | 0.578943 | + | 0.334253i | ||||
\(225\) | 50345.6 | − | 15096.7i | 0.994481 | − | 0.298206i | ||||
\(226\) | −129.931 | − | 225.047i | −0.00254387 | − | 0.00440611i | ||||
\(227\) | −7696.64 | + | 9172.50i | −0.149365 | + | 0.178006i | −0.835539 | − | 0.549431i | \(-0.814844\pi\) |
0.686174 | + | 0.727438i | \(0.259289\pi\) | |||||||
\(228\) | −28246.9 | − | 192544.i | −0.543377 | − | 3.70391i | ||||
\(229\) | −9076.93 | − | 51477.8i | −0.173088 | − | 0.981633i | −0.940327 | − | 0.340272i | \(-0.889481\pi\) |
0.767239 | − | 0.641362i | \(-0.221630\pi\) | |||||||
\(230\) | −100012. | + | 17634.8i | −1.89059 | + | 0.333362i | ||||
\(231\) | 4583.40 | + | 5794.03i | 0.0858942 | + | 0.108582i | ||||
\(232\) | 4936.84 | + | 4142.50i | 0.0917219 | + | 0.0769638i | ||||
\(233\) | −23116.2 | + | 13346.2i | −0.425800 | + | 0.245836i | −0.697556 | − | 0.716531i | \(-0.745729\pi\) |
0.271756 | + | 0.962366i | \(0.412396\pi\) | |||||||
\(234\) | −2319.34 | + | 1166.09i | −0.0423577 | + | 0.0212962i | ||||
\(235\) | −66150.8 | + | 114577.i | −1.19784 | + | 2.07472i | ||||
\(236\) | −46152.2 | − | 126802.i | −0.828645 | − | 2.27668i | ||||
\(237\) | −16391.5 | − | 14580.7i | −0.291824 | − | 0.259586i | ||||
\(238\) | −30523.6 | + | 25612.4i | −0.538868 | + | 0.452164i | ||||
\(239\) | −1205.00 | + | 3310.71i | −0.0210956 | + | 0.0579596i | −0.949793 | − | 0.312878i | \(-0.898707\pi\) |
0.928698 | + | 0.370837i | \(0.120929\pi\) | |||||||
\(240\) | 185565. | + | 114402.i | 3.22162 | + | 1.98614i | ||||
\(241\) | 14955.3 | − | 84815.6i | 0.257490 | − | 1.46030i | −0.532110 | − | 0.846675i | \(-0.678601\pi\) |
0.789600 | − | 0.613622i | \(-0.210288\pi\) | |||||||
\(242\) | 86674.1i | 1.47999i | ||||||||
\(243\) | −21861.7 | − | 54853.0i | −0.370230 | − | 0.928940i | ||||
\(244\) | 22373.8 | 0.375803 | ||||||||
\(245\) | 76544.2 | + | 13496.8i | 1.27520 | + | 0.224853i | ||||
\(246\) | −83151.4 | + | 134875.i | −1.37404 | + | 2.22876i | ||||
\(247\) | 2205.27 | + | 802.652i | 0.0361466 | + | 0.0131563i | ||||
\(248\) | 96675.6 | + | 115213.i | 1.57186 | + | 1.87327i | ||||
\(249\) | 31226.4 | − | 35104.4i | 0.503643 | − | 0.566190i | ||||
\(250\) | 5975.39 | − | 2174.86i | 0.0956063 | − | 0.0347978i | ||||
\(251\) | −11184.3 | − | 6457.26i | −0.177526 | − | 0.102495i | 0.408604 | − | 0.912712i | \(-0.366016\pi\) |
−0.586130 | + | 0.810217i | \(0.699349\pi\) | |||||||
\(252\) | −21532.3 | − | 42827.3i | −0.339070 | − | 0.674403i | ||||
\(253\) | −10480.1 | − | 18152.1i | −0.163729 | − | 0.283587i | ||||
\(254\) | 88985.6 | − | 106049.i | 1.37928 | − | 1.64376i | ||||
\(255\) | −90085.7 | + | 71262.8i | −1.38540 | + | 1.09593i | ||||
\(256\) | −6074.84 | − | 34452.1i | −0.0926946 | − | 0.525697i | ||||
\(257\) | 9408.96 | − | 1659.05i | 0.142454 | − | 0.0251185i | −0.101966 | − | 0.994788i | \(-0.532513\pi\) |
0.244421 | + | 0.969669i | \(0.421402\pi\) | |||||||
\(258\) | −38523.2 | + | 5651.50i | −0.578740 | + | 0.0849032i | ||||
\(259\) | 5625.47 | + | 4720.33i | 0.0838608 | + | 0.0703676i | ||||
\(260\) | −5261.14 | + | 3037.52i | −0.0778275 | + | 0.0449337i | ||||
\(261\) | −851.972 | − | 2841.23i | −0.0125067 | − | 0.0417085i | ||||
\(262\) | 103298. | − | 178917.i | 1.50483 | − | 2.60645i | ||||
\(263\) | 29073.3 | + | 79878.1i | 0.420322 | + | 1.15483i | 0.951523 | + | 0.307579i | \(0.0995189\pi\) |
−0.531201 | + | 0.847246i | \(0.678259\pi\) | |||||||
\(264\) | −17574.4 | + | 85207.5i | −0.252157 | + | 1.22256i | ||||
\(265\) | 16332.8 | − | 13704.9i | 0.232578 | − | 0.195156i | ||||
\(266\) | −20809.4 | + | 57173.4i | −0.294101 | + | 0.808036i | ||||
\(267\) | −32769.7 | + | 17678.6i | −0.459673 | + | 0.247984i | ||||
\(268\) | −21137.6 | + | 119877.i | −0.294297 | + | 1.66904i | ||||
\(269\) | 14077.8i | 0.194549i | 0.995258 | + | 0.0972745i | \(0.0310125\pi\) | ||||
−0.995258 | + | 0.0972745i | \(0.968988\pi\) | |||||||
\(270\) | −82110.7 | − | 175783.i | −1.12635 | − | 2.41130i | ||||
\(271\) | −18138.8 | −0.246984 | −0.123492 | − | 0.992346i | \(-0.539409\pi\) | ||||
−0.123492 | + | 0.992346i | \(0.539409\pi\) | |||||||
\(272\) | −238983. | − | 42139.2i | −3.23020 | − | 0.569572i | ||||
\(273\) | 577.828 | + | 16.6856i | 0.00775307 | + | 0.000223881i | ||||
\(274\) | −158155. | − | 57563.8i | −2.10660 | − | 0.766741i | ||||
\(275\) | 22911.0 | + | 27304.3i | 0.302956 | + | 0.361049i | ||||
\(276\) | 42807.0 | + | 129089.i | 0.561949 | + | 1.69462i | ||||
\(277\) | 136985. | − | 49858.4i | 1.78531 | − | 0.649799i | 0.785798 | − | 0.618483i | \(-0.212252\pi\) |
0.999510 | − | 0.0313162i | \(-0.00996987\pi\) | |||||||
\(278\) | 124869. | + | 72093.1i | 1.61572 | + | 0.932834i | ||||
\(279\) | −8066.72 | − | 68752.4i | −0.103631 | − | 0.883241i | ||||
\(280\) | −46933.0 | − | 81290.3i | −0.598635 | − | 1.03687i | ||||
\(281\) | 786.212 | − | 936.971i | 0.00995696 | − | 0.0118662i | −0.761043 | − | 0.648701i | \(-0.775312\pi\) |
0.771000 | + | 0.636835i | \(0.219757\pi\) | |||||||
\(282\) | 231206. | + | 91793.4i | 2.90738 | + | 1.15429i | ||||
\(283\) | 18788.2 | + | 106553.i | 0.234592 | + | 1.33044i | 0.843472 | + | 0.537173i | \(0.180508\pi\) |
−0.608880 | + | 0.793262i | \(0.708381\pi\) | |||||||
\(284\) | 71138.9 | − | 12543.7i | 0.882004 | − | 0.155521i | ||||
\(285\) | −64720.1 | + | 163015.i | −0.796800 | + | 2.00696i | ||||
\(286\) | −1348.57 | − | 1131.59i | −0.0164870 | − | 0.0138342i | ||||
\(287\) | 30555.8 | − | 17641.4i | 0.370963 | − | 0.214175i | ||||
\(288\) | 71938.5 | − | 166975.i | 0.867314 | − | 2.01310i | ||||
\(289\) | 22172.1 | − | 38403.2i | 0.265467 | − | 0.459803i | ||||
\(290\) | −3333.33 | − | 9158.24i | −0.0396353 | − | 0.108897i | ||||
\(291\) | 112408. | − | 37275.3i | 1.32742 | − | 0.440185i | ||||
\(292\) | 167834. | − | 140829.i | 1.96840 | − | 1.65169i | ||||
\(293\) | −36375.6 | + | 99941.2i | −0.423716 | + | 1.16415i | 0.525848 | + | 0.850579i | \(0.323748\pi\) |
−0.949564 | + | 0.313573i | \(0.898474\pi\) | |||||||
\(294\) | 4218.35 | − | 146082.i | 0.0488031 | − | 1.69006i | ||||
\(295\) | −21118.8 | + | 119770.i | −0.242675 | + | 1.37628i | ||||
\(296\) | 86480.6i | 0.987041i | ||||||||
\(297\) | 28296.3 | − | 28333.7i | 0.320787 | − | 0.321211i | ||||
\(298\) | −193594. | −2.18001 | ||||||||
\(299\) | −1615.17 | − | 284.797i | −0.0180665 | − | 0.00318562i | ||||
\(300\) | −109807. | − | 203543.i | −1.22008 | − | 2.26158i | ||||
\(301\) | 8147.25 | + | 2965.36i | 0.0899246 | + | 0.0327299i | ||||
\(302\) | −39730.2 | − | 47348.6i | −0.435619 | − | 0.519150i | ||||
\(303\) | −152400. | − | 31433.0i | −1.65997 | − | 0.342374i | ||||
\(304\) | −348199. | + | 126734.i | −3.76774 | + | 1.37134i | ||||
\(305\) | −17463.4 | − | 10082.5i | −0.187728 | − | 0.108385i | ||||
\(306\) | 157160. | + | 148142.i | 1.67841 | + | 1.58210i | ||||
\(307\) | 37577.3 | + | 65085.9i | 0.398703 | + | 0.690573i | 0.993566 | − | 0.113253i | \(-0.0361272\pi\) |
−0.594863 | + | 0.803827i | \(0.702794\pi\) | |||||||
\(308\) | 20895.1 | − | 24901.8i | 0.220264 | − | 0.262500i | ||||
\(309\) | 16925.7 | + | 115373.i | 0.177267 | + | 1.20834i | ||||
\(310\) | −39495.8 | − | 223992.i | −0.410986 | − | 2.33082i | ||||
\(311\) | 64675.3 | − | 11404.0i | 0.668679 | − | 0.117906i | 0.171005 | − | 0.985270i | \(-0.445299\pi\) |
0.497674 | + | 0.867364i | \(0.334187\pi\) | |||||||
\(312\) | 4223.49 | + | 5339.05i | 0.0433873 | + | 0.0548473i | ||||
\(313\) | −61767.7 | − | 51829.3i | −0.630483 | − | 0.529038i | 0.270596 | − | 0.962693i | \(-0.412779\pi\) |
−0.901079 | + | 0.433655i | \(0.857224\pi\) | |||||||
\(314\) | −117658. | + | 67929.6i | −1.19333 | + | 0.688969i | ||||
\(315\) | −2493.03 | + | 43131.1i | −0.0251250 | + | 0.434680i | ||||
\(316\) | −48265.2 | + | 83597.7i | −0.483348 | + | 0.837183i | ||||
\(317\) | 11934.7 | + | 32790.3i | 0.118766 | + | 0.326307i | 0.984804 | − | 0.173672i | \(-0.0555632\pi\) |
−0.866037 | + | 0.499979i | \(0.833341\pi\) | |||||||
\(318\) | −29953.4 | − | 26644.4i | −0.296204 | − | 0.263483i | ||||
\(319\) | 1540.90 | − | 1292.97i | 0.0151424 | − | 0.0127060i | ||||
\(320\) | 71764.7 | − | 197172.i | 0.700827 | − | 1.92551i | ||||
\(321\) | −82223.0 | − | 50690.9i | −0.797964 | − | 0.491949i | ||||
\(322\) | 7383.60 | − | 41874.5i | 0.0712126 | − | 0.403867i | ||||
\(323\) | − | 195244.i | − | 1.87143i | ||||||
\(324\) | −216954. | + | 142967.i | −2.06670 | + | 1.36190i | ||||
\(325\) | 2788.99 | 0.0264046 | ||||||||
\(326\) | −330825. | − | 58333.4i | −3.11289 | − | 0.548886i | ||||
\(327\) | 7122.31 | − | 11552.7i | 0.0666078 | − | 0.108041i | ||||
\(328\) | 390448. | + | 142112.i | 3.62924 | + | 1.32094i | ||||
\(329\) | −35606.6 | − | 42434.2i | −0.328956 | − | 0.392035i | ||||
\(330\) | 87445.2 | − | 98305.0i | 0.802986 | − | 0.902709i | ||||
\(331\) | 121557. | − | 44243.1i | 1.10949 | − | 0.403821i | 0.278684 | − | 0.960383i | \(-0.410102\pi\) |
0.830806 | + | 0.556562i | \(0.187880\pi\) | |||||||
\(332\) | −179035. | − | 103366.i | −1.62428 | − | 0.937780i | ||||
\(333\) | 21858.0 | − | 33265.3i | 0.197116 | − | 0.299988i | ||||
\(334\) | 170629. | + | 295538.i | 1.52954 | + | 2.64924i | ||||
\(335\) | 70519.7 | − | 84042.1i | 0.628378 | − | 0.748871i | ||||
\(336\) | −71584.1 | + | 56627.0i | −0.634071 | + | 0.501585i | ||||
\(337\) | −23137.5 | − | 131219.i | −0.203731 | − | 1.15541i | −0.899425 | − | 0.437076i | \(-0.856014\pi\) |
0.695694 | − | 0.718338i | \(-0.255097\pi\) | |||||||
\(338\) | 209598. | − | 36957.7i | 1.83465 | − | 0.323498i | ||||
\(339\) | 310.326 | − | 45.5259i | 0.00270034 | − | 0.000396150i | ||||
\(340\) | 387174. | + | 324877.i | 3.34925 | + | 2.81036i | ||||
\(341\) | 40654.3 | − | 23471.8i | 0.349621 | − | 0.201854i | ||||
\(342\) | 320928. | + | 75912.0i | 2.74382 | + | 0.649020i | ||||
\(343\) | −34211.6 | + | 59256.3i | −0.290794 | + | 0.503670i | ||||
\(344\) | 34921.4 | + | 95945.7i | 0.295103 | + | 0.810790i | ||||
\(345\) | 24760.3 | − | 120048.i | 0.208026 | − | 1.00859i | ||||
\(346\) | −200803. | + | 168494.i | −1.67733 | + | 1.40745i | ||||
\(347\) | 19826.7 | − | 54473.4i | 0.164661 | − | 0.452403i | −0.829730 | − | 0.558165i | \(-0.811506\pi\) |
0.994392 | + | 0.105761i | \(0.0337280\pi\) | |||||||
\(348\) | −11486.8 | + | 6196.90i | −0.0948508 | + | 0.0511701i | ||||
\(349\) | −22672.5 | + | 128582.i | −0.186144 | + | 1.05568i | 0.738332 | + | 0.674437i | \(0.235614\pi\) |
−0.924476 | + | 0.381239i | \(0.875497\pi\) | |||||||
\(350\) | 72306.8i | 0.590260i | ||||||||
\(351\) | −275.148 | − | 3121.19i | −0.00223333 | − | 0.0253341i | ||||
\(352\) | 123294. | 0.995076 | ||||||||
\(353\) | −27299.6 | − | 4813.66i | −0.219082 | − | 0.0386301i | 0.0630294 | − | 0.998012i | \(-0.479924\pi\) |
−0.282112 | + | 0.959382i | \(0.591035\pi\) | |||||||
\(354\) | 228579. | + | 6600.55i | 1.82402 | + | 0.0526712i | ||||
\(355\) | −61178.5 | − | 22267.2i | −0.485448 | − | 0.176688i | ||||
\(356\) | 105311. | + | 125505.i | 0.830951 | + | 0.990289i | ||||
\(357\) | −15137.5 | − | 45648.6i | −0.118773 | − | 0.358172i | ||||
\(358\) | −52549.4 | + | 19126.4i | −0.410017 | + | 0.149234i | ||||
\(359\) | 19338.9 | + | 11165.3i | 0.150053 | + | 0.0866329i | 0.573146 | − | 0.819453i | \(-0.305723\pi\) |
−0.423094 | + | 0.906086i | \(0.639056\pi\) | |||||||
\(360\) | −407970. | + | 304002.i | −3.14791 | + | 2.34569i | ||||
\(361\) | −83904.2 | − | 145326.i | −0.643827 | − | 1.11514i | ||||
\(362\) | −10023.4 | + | 11945.5i | −0.0764891 | + | 0.0911562i | ||||
\(363\) | −97231.2 | − | 38602.7i | −0.737892 | − | 0.292957i | ||||
\(364\) | −441.689 | − | 2504.94i | −0.00333360 | − | 0.0189058i | ||||
\(365\) | −194462. | + | 34288.9i | −1.45965 | + | 0.257376i | ||||
\(366\) | −13990.9 | + | 35239.7i | −0.104444 | + | 0.263069i | ||||
\(367\) | −149004. | − | 125029.i | −1.10628 | − | 0.928278i | −0.108447 | − | 0.994102i | \(-0.534588\pi\) |
−0.997831 | + | 0.0658243i | \(0.979032\pi\) | |||||||
\(368\) | 224265. | − | 129480.i | 1.65602 | − | 0.956106i | ||||
\(369\) | −114270. | − | 153350.i | −0.839226 | − | 1.12624i | ||||
\(370\) | 65391.3 | − | 113261.i | 0.477657 | − | 0.827327i | ||||
\(371\) | 3053.20 | + | 8388.61i | 0.0221824 | + | 0.0609456i | ||||
\(372\) | −289114. | + | 95872.6i | −2.08921 | + | 0.692801i | ||||
\(373\) | −130382. | + | 109403.i | −0.937127 | + | 0.786343i | −0.977083 | − | 0.212858i | \(-0.931723\pi\) |
0.0399560 | + | 0.999201i | \(0.487278\pi\) | |||||||
\(374\) | −50092.7 | + | 137628.i | −0.358122 | + | 0.983932i | ||||
\(375\) | −221.536 | + | 7671.84i | −0.00157537 | + | 0.0545553i | ||||
\(376\) | 113278. | − | 642433.i | 0.801256 | − | 4.54415i | ||||
\(377\) | − | 157.395i | − | 0.00110741i | ||||||
\(378\) | 80919.4 | − | 7133.44i | 0.566329 | − | 0.0499247i | ||||
\(379\) | 177096. | 1.23290 | 0.616452 | − | 0.787392i | \(-0.288569\pi\) | ||||
0.616452 | + | 0.787392i | \(0.288569\pi\) | |||||||
\(380\) | 760028. | + | 134013.i | 5.26335 | + | 0.928071i | ||||
\(381\) | 79333.7 | + | 147056.i | 0.546522 | + | 1.01305i | ||||
\(382\) | 79935.8 | + | 29094.2i | 0.547790 | + | 0.199379i | ||||
\(383\) | −29074.2 | − | 34649.2i | −0.198203 | − | 0.236209i | 0.657784 | − | 0.753207i | \(-0.271494\pi\) |
−0.855987 | + | 0.516998i | \(0.827050\pi\) | |||||||
\(384\) | −69836.0 | − | 14403.9i | −0.473606 | − | 0.0976830i | ||||
\(385\) | −27530.9 | + | 10020.4i | −0.185737 | + | 0.0676027i | ||||
\(386\) | −181887. | − | 105012.i | −1.22075 | − | 0.704799i | ||||
\(387\) | 10817.5 | − | 45732.5i | 0.0722280 | − | 0.305354i | ||||
\(388\) | −260547. | − | 451281.i | −1.73071 | − | 2.99767i | ||||
\(389\) | −42121.3 | + | 50198.2i | −0.278357 | + | 0.331733i | −0.887050 | − | 0.461672i | \(-0.847250\pi\) |
0.608693 | + | 0.793406i | \(0.291694\pi\) | |||||||
\(390\) | −1494.31 | − | 10185.9i | −0.00982454 | − | 0.0669687i | ||||
\(391\) | 23694.0 | + | 134375.i | 0.154983 | + | 0.878954i | ||||
\(392\) | −377419. | + | 66549.1i | −2.45613 | + | 0.433082i | ||||
\(393\) | 154703. | + | 195565.i | 1.00165 | + | 1.26621i | ||||
\(394\) | −383438. | − | 321742.i | −2.47003 | − | 2.07260i | ||||
\(395\) | 75344.6 | − | 43500.2i | 0.482901 | − | 0.278803i | ||||
\(396\) | −147253. | − | 96756.9i | −0.939017 | − | 0.617009i | ||||
\(397\) | −111760. | + | 193575.i | −0.709099 | + | 1.22820i | 0.256093 | + | 0.966652i | \(0.417565\pi\) |
−0.965192 | + | 0.261543i | \(0.915769\pi\) | |||||||
\(398\) | 53156.8 | + | 146047.i | 0.335577 | + | 0.921991i | ||||
\(399\) | −54869.2 | − | 48807.8i | −0.344654 | − | 0.306580i | ||||
\(400\) | −337339. | + | 283061.i | −2.10837 | + | 1.76913i | ||||
\(401\) | 92421.2 | − | 253925.i | 0.574755 | − | 1.57913i | −0.222144 | − | 0.975014i | \(-0.571305\pi\) |
0.796899 | − | 0.604113i | \(-0.206472\pi\) | |||||||
\(402\) | −175594. | − | 108254.i | −1.08657 | − | 0.669875i | ||||
\(403\) | 637.845 | − | 3617.40i | 0.00392740 | − | 0.0222734i | ||||
\(404\) | 684696.i | 4.19503i | ||||||||
\(405\) | 233765. | − | 13822.0i | 1.42518 | − | 0.0842677i | ||||
\(406\) | 4080.59 | 0.0247555 | ||||||||
\(407\) | 26582.5 | + | 4687.22i | 0.160475 | + | 0.0282961i | ||||
\(408\) | 297222. | − | 482108.i | 1.78550 | − | 2.89617i | ||||
\(409\) | 194660. | + | 70850.6i | 1.16367 | + | 0.423542i | 0.850408 | − | 0.526124i | \(-0.176355\pi\) |
0.313265 | + | 0.949666i | \(0.398577\pi\) | |||||||
\(410\) | −403902. | − | 481352.i | −2.40275 | − | 2.86349i | ||||
\(411\) | 135014. | − | 151781.i | 0.799273 | − | 0.898535i | ||||
\(412\) | 482149. | − | 175488.i | 2.84045 | − | 1.03384i | ||||
\(413\) | −44098.7 | − | 25460.4i | −0.258539 | − | 0.149268i | ||||
\(414\) | −230089. | − | 13299.4i | −1.34244 | − | 0.0775945i | ||||
\(415\) | 93161.1 | + | 161360.i | 0.540927 | + | 0.936913i | ||||
\(416\) | 6201.24 | − | 7390.35i | 0.0358337 | − | 0.0427050i | ||||
\(417\) | −136488. | + | 107970.i | −0.784915 | + | 0.620911i | ||||
\(418\) | 38834.6 | + | 220242.i | 0.222263 | + | 1.26051i | ||||
\(419\) | −86433.7 | + | 15240.6i | −0.492329 | + | 0.0868108i | −0.414300 | − | 0.910140i | \(-0.635974\pi\) |
−0.0780285 | + | 0.996951i | \(0.524863\pi\) | |||||||
\(420\) | 188087. | − | 27593.0i | 1.06625 | − | 0.156423i | ||||
\(421\) | 212742. | + | 178512.i | 1.20030 | + | 1.00717i | 0.999621 | + | 0.0275143i | \(0.00875917\pi\) |
0.200679 | + | 0.979657i | \(0.435685\pi\) | |||||||
\(422\) | 255434. | − | 147475.i | 1.43435 | − | 0.828121i | ||||
\(423\) | −205948. | + | 218485.i | −1.15101 | + | 1.22107i | ||||
\(424\) | −52564.0 | + | 91043.5i | −0.292386 | + | 0.506427i | ||||
\(425\) | −79359.9 | − | 218039.i | −0.439363 | − | 1.20714i | ||||
\(426\) | −24727.9 | + | 119891.i | −0.136260 | + | 0.660642i | ||||
\(427\) | 6467.69 | − | 5427.03i | 0.0354726 | − | 0.0297651i | ||||
\(428\) | −145366. | + | 399390.i | −0.793553 | + | 2.18027i | ||||
\(429\) | 1870.04 | − | 1008.85i | 0.0101610 | − | 0.00548165i | ||||
\(430\) | 26812.7 | − | 152062.i | 0.145012 | − | 0.822404i | ||||
\(431\) | − | 41851.0i | − | 0.225295i | −0.993635 | − | 0.112647i | \(-0.964067\pi\) | ||
0.993635 | − | 0.112647i | \(-0.0359331\pi\) | |||||||
\(432\) | 350057. | + | 349595.i | 1.87574 | + | 1.87326i | ||||
\(433\) | 1012.86 | 0.00540225 | 0.00270113 | − | 0.999996i | \(-0.499140\pi\) | ||||
0.00270113 | + | 0.999996i | \(0.499140\pi\) | |||||||
\(434\) | 93784.1 | + | 16536.7i | 0.497909 | + | 0.0877947i | ||||
\(435\) | 11758.3 | + | 339.539i | 0.0621394 | + | 0.00179437i | ||||
\(436\) | −56116.2 | − | 20424.6i | −0.295199 | − | 0.107444i | ||||
\(437\) | 133925. | + | 159606.i | 0.701292 | + | 0.835768i | ||||
\(438\) | 116862. | + | 352409.i | 0.609151 | + | 1.83696i | ||||
\(439\) | −61671.4 | + | 22446.6i | −0.320004 | + | 0.116472i | −0.497028 | − | 0.867735i | \(-0.665575\pi\) |
0.177024 | + | 0.984207i | \(0.443353\pi\) | |||||||
\(440\) | −298799. | − | 172512.i | −1.54338 | − | 0.891072i | ||||
\(441\) | 161997. | + | 69793.9i | 0.832970 | + | 0.358873i | ||||
\(442\) | 5730.10 | + | 9924.82i | 0.0293304 | + | 0.0508017i | ||||
\(443\) | −11275.3 | + | 13437.4i | −0.0574540 | + | 0.0684710i | −0.794006 | − | 0.607910i | \(-0.792008\pi\) |
0.736552 | + | 0.676381i | \(0.236453\pi\) | |||||||
\(444\) | −162783. | − | 64628.0i | −0.825739 | − | 0.327834i | ||||
\(445\) | −25641.0 | − | 145418.i | −0.129484 | − | 0.734339i | ||||
\(446\) | 410122. | − | 72315.6i | 2.06179 | − | 0.363548i | ||||
\(447\) | 86222.2 | − | 217174.i | 0.431523 | − | 1.08691i | ||||
\(448\) | 67299.2 | + | 56470.8i | 0.335316 | + | 0.281363i | ||||
\(449\) | −310961. | + | 179534.i | −1.54246 | + | 0.890540i | −0.543777 | + | 0.839230i | \(0.683006\pi\) |
−0.998683 | + | 0.0513099i | \(0.983660\pi\) | |||||||
\(450\) | 389253. | − | 45671.0i | 1.92224 | − | 0.225536i | ||||
\(451\) | 64844.6 | − | 112314.i | 0.318802 | − | 0.552181i | ||||
\(452\) | −472.020 | − | 1296.86i | −0.00231038 | − | 0.00634772i | ||||
\(453\) | 70810.6 | − | 23481.4i | 0.345066 | − | 0.114427i | ||||
\(454\) | −68395.9 | + | 57391.0i | −0.331832 | + | 0.278440i | ||||
\(455\) | −784.071 | + | 2154.22i | −0.00378733 | + | 0.0104056i | ||||
\(456\) | 24962.4 | − | 864453.i | 0.120048 | − | 4.15731i | ||||
\(457\) | −60611.2 | + | 343743.i | −0.290215 | + | 1.64589i | 0.395823 | + | 0.918327i | \(0.370459\pi\) |
−0.686038 | + | 0.727566i | \(0.740652\pi\) | |||||||
\(458\) | − | 389772.i | − | 1.85815i | ||||||
\(459\) | −236181. | + | 110323.i | −1.12104 | + | 0.523651i | ||||
\(460\) | −539346. | −2.54890 | ||||||||
\(461\) | 92015.8 | + | 16224.9i | 0.432973 | + | 0.0763447i | 0.385887 | − | 0.922546i | \(-0.373896\pi\) |
0.0470857 | + | 0.998891i | \(0.485007\pi\) | |||||||
\(462\) | 26155.2 | + | 48482.3i | 0.122539 | + | 0.227143i | ||||
\(463\) | −12089.8 | − | 4400.31i | −0.0563969 | − | 0.0205268i | 0.313668 | − | 0.949533i | \(-0.398442\pi\) |
−0.370065 | + | 0.929006i | \(0.620664\pi\) | |||||||
\(464\) | 15974.4 | + | 19037.6i | 0.0741974 | + | 0.0884250i | ||||
\(465\) | 268865. | + | 55454.4i | 1.24345 | + | 0.256466i | ||||
\(466\) | −187032. | + | 68073.9i | −0.861277 | + | 0.313479i | ||||
\(467\) | 104386. | + | 60267.3i | 0.478639 | + | 0.276342i | 0.719849 | − | 0.694130i | \(-0.244211\pi\) |
−0.241210 | + | 0.970473i | \(0.577544\pi\) | |||||||
\(468\) | −13206.0 | + | 3959.96i | −0.0602947 | + | 0.0180800i | ||||
\(469\) | 22967.3 | + | 39780.5i | 0.104415 | + | 0.180853i | ||||
\(470\) | −634126. | + | 755721.i | −2.87065 | + | 3.42110i | ||||
\(471\) | −23801.6 | − | 162243.i | −0.107291 | − | 0.731347i | ||||
\(472\) | −104131. | − | 590556.i | −0.467408 | − | 2.65080i | ||||
\(473\) | 31384.6 | − | 5533.96i | 0.140280 | − | 0.0247351i | ||||
\(474\) | −101489. | − | 128295.i | −0.451711 | − | 0.571023i | ||||
\(475\) | −271412. | − | 227742.i | −1.20294 | − | 1.00938i | ||||
\(476\) | −183265. | + | 105808.i | −0.808846 | + | 0.466987i | ||||
\(477\) | 43230.3 | − | 21734.9i | 0.189999 | − | 0.0955260i | ||||
\(478\) | −13135.5 | + | 22751.4i | −0.0574899 | + | 0.0995754i | ||||
\(479\) | −51328.2 | − | 141023.i | −0.223710 | − | 0.614638i | 0.776164 | − | 0.630531i | \(-0.217163\pi\) |
−0.999874 | + | 0.0158933i | \(0.994941\pi\) | |||||||
\(480\) | 538725. | + | 479212.i | 2.33822 | + | 2.07991i | ||||
\(481\) | 1617.96 | − | 1357.63i | 0.00699324 | − | 0.00586802i | ||||
\(482\) | 219643. | − | 603465.i | 0.945418 | − | 2.59752i | ||||
\(483\) | 43686.4 | + | 26932.9i | 0.187263 | + | 0.115449i | ||||
\(484\) | −79933.1 | + | 453323.i | −0.341221 | + | 1.93516i | ||||
\(485\) | 469650.i | 1.99660i | ||||||||
\(486\) | −89512.7 | − | 431111.i | −0.378977 | − | 1.82523i | ||||
\(487\) | −88735.1 | −0.374143 | −0.187071 | − | 0.982346i | \(-0.559900\pi\) | ||||
−0.187071 | + | 0.982346i | \(0.559900\pi\) | |||||||
\(488\) | 97917.6 | + | 17265.5i | 0.411170 | + | 0.0725003i | ||||
\(489\) | 212780. | − | 345140.i | 0.889844 | − | 1.44337i | ||||
\(490\) | 544614. | + | 198223.i | 2.26828 | + | 0.825586i | ||||
\(491\) | 273525. | + | 325975.i | 1.13458 | + | 1.35214i | 0.927504 | + | 0.373812i | \(0.121950\pi\) |
0.207074 | + | 0.978325i | \(0.433606\pi\) | |||||||
\(492\) | −559284. | + | 628741.i | −2.31048 | + | 2.59742i | ||||
\(493\) | −12304.9 | + | 4478.63i | −0.0506274 | + | 0.0184269i | ||||
\(494\) | 15154.8 | + | 8749.60i | 0.0621005 | + | 0.0358537i | ||||
\(495\) | 71332.7 | + | 141879.i | 0.291124 | + | 0.579039i | ||||
\(496\) | 289989. | + | 502275.i | 1.17874 | + | 2.04164i | ||||
\(497\) | 17521.8 | − | 20881.6i | 0.0709357 | − | 0.0845379i | ||||
\(498\) | 274760. | − | 217350.i | 1.10789 | − | 0.876399i | ||||
\(499\) | −20429.8 | − | 115863.i | −0.0820472 | − | 0.465313i | −0.997955 | − | 0.0639235i | \(-0.979639\pi\) |
0.915908 | − | 0.401389i | \(-0.131472\pi\) | |||||||
\(500\) | 33258.2 | − | 5864.32i | 0.133033 | − | 0.0234573i | ||||
\(501\) | −407530. | + | 59786.1i | −1.62362 | + | 0.238191i | ||||
\(502\) | −73769.1 | − | 61899.6i | −0.292730 | − | 0.245630i | ||||
\(503\) | 225624. | − | 130264.i | 0.891764 | − | 0.514860i | 0.0172448 | − | 0.999851i | \(-0.494511\pi\) |
0.874519 | + | 0.484991i | \(0.161177\pi\) | |||||||
\(504\) | −61185.6 | − | 204047.i | −0.240873 | − | 0.803283i | ||||
\(505\) | 308550. | − | 534424.i | 1.20988 | − | 2.09557i | ||||
\(506\) | −53455.2 | − | 146867.i | −0.208780 | − | 0.573619i | ||||
\(507\) | −51890.8 | + | 251587.i | −0.201871 | + | 0.978752i | ||||
\(508\) | 563213. | − | 472592.i | 2.18246 | − | 1.83130i | ||||
\(509\) | 62362.0 | − | 171338.i | 0.240705 | − | 0.661331i | −0.759240 | − | 0.650811i | \(-0.774429\pi\) |
0.999945 | − | 0.0105200i | \(-0.00334869\pi\) | |||||||
\(510\) | −753803. | + | 406662.i | −2.89813 | + | 1.56348i | ||||
\(511\) | 14356.6 | − | 81420.2i | 0.0549805 | − | 0.311810i | ||||
\(512\) | − | 387626.i | − | 1.47867i | ||||||
\(513\) | −228092. | + | 326209.i | −0.866715 | + | 1.23954i | ||||
\(514\) | 71241.4 | 0.269654 | ||||||||
\(515\) | −455412. | − | 80301.5i | −1.71708 | − | 0.302767i | ||||
\(516\) | −206696. | − | 5968.66i | −0.776306 | − | 0.0224170i | ||||
\(517\) | −191332. | − | 69639.3i | −0.715826 | − | 0.260539i | ||||
\(518\) | 35197.7 | + | 41947.0i | 0.131176 | + | 0.156330i | ||||
\(519\) | −99583.6 | − | 300305.i | −0.369703 | − | 1.11488i | ||||
\(520\) | −25369.0 | + | 9233.57i | −0.0938203 | + | 0.0341478i | ||||
\(521\) | 386241. | + | 222996.i | 1.42293 | + | 0.821528i | 0.996548 | − | 0.0830166i | \(-0.0264554\pi\) |
0.426380 | + | 0.904544i | \(0.359789\pi\) | |||||||
\(522\) | −2577.42 | − | 21967.3i | −0.00945897 | − | 0.0806185i | ||||
\(523\) | −236571. | − | 409752.i | −0.864883 | − | 1.49802i | −0.867163 | − | 0.498024i | \(-0.834059\pi\) |
0.00227985 | − | 0.999997i | \(-0.499274\pi\) | |||||||
\(524\) | 705270. | − | 840508.i | 2.56858 | − | 3.06111i | ||||
\(525\) | −81113.9 | − | 32203.8i | −0.294291 | − | 0.116839i | ||||
\(526\) | 110066. | + | 624217.i | 0.397817 | + | 2.25613i | ||||
\(527\) | −300953. | + | 53066.2i | −1.08362 | + | 0.191072i | ||||
\(528\) | −123798. | + | 311819.i | −0.444065 | + | 1.11850i | ||||
\(529\) | 102829. | + | 86283.5i | 0.367454 | + | 0.308331i | ||||
\(530\) | 137683. | − | 79491.2i | 0.490149 | − | 0.282988i | ||||
\(531\) | −109208. | + | 253480.i | −0.387317 | + | 0.898991i | ||||
\(532\) | −161564. | + | 279837.i | −0.570850 | + | 0.988741i | ||||
\(533\) | −3470.76 | − | 9535.85i | −0.0122172 | − | 0.0335664i | ||||
\(534\) | −263530. | + | 87388.6i | −0.924159 | + | 0.306459i | ||||
\(535\) | 293443. | − | 246227.i | 1.02522 | − | 0.860259i | ||||
\(536\) | −185015. | + | 508323.i | −0.643986 | + | 1.76934i | ||||
\(537\) | 1948.25 | − | 67468.5i | 0.00675611 | − | 0.233966i | ||||
\(538\) | −18228.3 | + | 103378.i | −0.0629770 | + | 0.357160i | ||||
\(539\) | 119618.i | 0.411738i | ||||||||
\(540\) | −267343. | − | 995107.i | −0.916816 | − | 3.41258i | ||||
\(541\) | 22010.9 | 0.0752045 | 0.0376023 | − | 0.999293i | \(-0.488028\pi\) | ||||
0.0376023 | + | 0.999293i | \(0.488028\pi\) | |||||||
\(542\) | −133199. | − | 23486.6i | −0.453422 | − | 0.0799506i | ||||
\(543\) | −8936.24 | − | 16564.6i | −0.0303079 | − | 0.0561798i | ||||
\(544\) | −754223. | − | 274515.i | −2.54860 | − | 0.927615i | ||||
\(545\) | 34596.1 | + | 41230.0i | 0.116475 | + | 0.138810i | ||||
\(546\) | 4221.59 | + | 870.717i | 0.0141609 | + | 0.00292073i | ||||
\(547\) | 129770. | − | 47232.4i | 0.433710 | − | 0.157858i | −0.115933 | − | 0.993257i | \(-0.536986\pi\) |
0.549643 | + | 0.835399i | \(0.314764\pi\) | |||||||
\(548\) | −774097. | − | 446925.i | −2.57771 | − | 1.48824i | ||||
\(549\) | −33300.8 | − | 31389.9i | −0.110487 | − | 0.104147i | ||||
\(550\) | 132889. | + | 230171.i | 0.439303 | + | 0.760895i | ||||
\(551\) | −12852.5 | + | 15317.0i | −0.0423335 | + | 0.0504511i | ||||
\(552\) | 87726.2 | + | 597983.i | 0.287906 | + | 1.96250i | ||||
\(553\) | 6325.41 | + | 35873.2i | 0.0206842 | + | 0.117306i | ||||
\(554\) | 1.07049e6 | − | 188755.i | 3.48788 | − | 0.615007i | ||||
\(555\) | 97932.7 | + | 123800.i | 0.317937 | + | 0.401915i | ||||
\(556\) | 586603. | + | 492219.i | 1.89756 | + | 1.59224i | ||||
\(557\) | −254021. | + | 146659.i | −0.818765 | + | 0.472714i | −0.849990 | − | 0.526798i | \(-0.823392\pi\) |
0.0312254 | + | 0.999512i | \(0.490059\pi\) | |||||||
\(558\) | 29785.9 | − | 515317.i | 0.0956627 | − | 1.65503i | ||||
\(559\) | 1246.82 | − | 2159.56i | 0.00399008 | − | 0.00691102i | ||||
\(560\) | −123800. | − | 340138.i | −0.394771 | − | 1.08463i | ||||
\(561\) | −132082. | − | 117491.i | −0.419679 | − | 0.373317i | ||||
\(562\) | 6986.64 | − | 5862.49i | 0.0221205 | − | 0.0185613i | ||||
\(563\) | 18682.7 | − | 51330.3i | 0.0589417 | − | 0.161941i | −0.906727 | − | 0.421719i | \(-0.861427\pi\) |
0.965668 | + | 0.259778i | \(0.0836493\pi\) | |||||||
\(564\) | 1.12460e6 | + | 693322.i | 3.53542 | + | 2.17960i | ||||
\(565\) | −215.991 | + | 1224.95i | −0.000676611 | + | 0.00383725i | ||||
\(566\) | 806785.i | 2.51840i | ||||||||
\(567\) | −28037.4 | + | 93952.6i | −0.0872109 | + | 0.292242i | ||||
\(568\) | 321014. | 0.995011 | ||||||||
\(569\) | −115769. | − | 20413.2i | −0.357576 | − | 0.0630504i | −0.00802559 | − | 0.999968i | \(-0.502555\pi\) |
−0.349551 | + | 0.936917i | \(0.613666\pi\) | |||||||
\(570\) | −686339. | + | 1.11327e6i | −2.11246 | + | 3.42651i | ||||
\(571\) | −244279. | − | 88910.4i | −0.749229 | − | 0.272697i | −0.0609476 | − | 0.998141i | \(-0.519412\pi\) |
−0.688281 | + | 0.725444i | \(0.741634\pi\) | |||||||
\(572\) | −6009.72 | − | 7162.10i | −0.0183680 | − | 0.0218901i | ||||
\(573\) | −68239.6 | + | 76714.2i | −0.207839 | + | 0.233650i | ||||
\(574\) | 247225. | − | 89982.4i | 0.750357 | − | 0.273108i | ||||
\(575\) | 214435. | + | 123804.i | 0.648575 | + | 0.374455i | ||||
\(576\) | 261494. | − | 397964.i | 0.788163 | − | 1.19949i | ||||
\(577\) | −251986. | − | 436453.i | −0.756877 | − | 1.31095i | −0.944436 | − | 0.328696i | \(-0.893391\pi\) |
0.187558 | − | 0.982253i | \(-0.439943\pi\) | |||||||
\(578\) | 212543. | − | 253299.i | 0.636196 | − | 0.758189i | ||||
\(579\) | 198811. | − | 157271.i | 0.593039 | − | 0.469127i | ||||
\(580\) | −8988.00 | − | 50973.5i | −0.0267182 | − | 0.151526i | ||||
\(581\) | −76826.9 | + | 13546.7i | −0.227594 | + | 0.0401310i | ||||
\(582\) | 873712. | − | 128177.i | 2.57942 | − | 0.378410i | ||||
\(583\) | 25136.1 | + | 21091.7i | 0.0739539 | + | 0.0620547i | ||||
\(584\) | 843190. | − | 486816.i | 2.47229 | − | 1.42738i | ||||
\(585\) | 12092.1 | + | 2860.26i | 0.0353339 | + | 0.00835784i | ||||
\(586\) | −396526. | + | 686802.i | −1.15472 | + | 2.00003i | ||||
\(587\) | 70170.3 | + | 192791.i | 0.203647 | + | 0.559514i | 0.998906 | − | 0.0467544i | \(-0.0148878\pi\) |
−0.795260 | + | 0.606269i | \(0.792666\pi\) | |||||||
\(588\) | 156784. | − | 760150.i | 0.453468 | − | 2.19859i | ||||
\(589\) | −357460. | + | 299945.i | −1.03038 | + | 0.864591i | ||||
\(590\) | −310165. | + | 852170.i | −0.891022 | + | 2.44806i | ||||
\(591\) | 531706. | − | 286845.i | 1.52229 | − | 0.821243i | ||||
\(592\) | −57909.6 | + | 328422.i | −0.165237 | + | 0.937106i | ||||
\(593\) | 319505.i | 0.908590i | 0.890851 | + | 0.454295i | \(0.150109\pi\) | ||||
−0.890851 | + | 0.454295i | \(0.849891\pi\) | |||||||
\(594\) | 244477. | − | 171425.i | 0.692890 | − | 0.485850i | ||||
\(595\) | 190724. | 0.538732 | ||||||||
\(596\) | −1.01253e6 | − | 178537.i | −2.85047 | − | 0.502615i | ||||
\(597\) | −187511. | − | 5414.65i | −0.526111 | − | 0.0151922i | ||||
\(598\) | −11492.0 | − | 4182.73i | −0.0321360 | − | 0.0116965i | ||||
\(599\) | −58679.5 | − | 69931.5i | −0.163543 | − | 0.194903i | 0.678049 | − | 0.735017i | \(-0.262826\pi\) |
−0.841592 | + | 0.540114i | \(0.818381\pi\) | |||||||
\(600\) | −323493. | − | 975526.i | −0.898591 | − | 2.70979i | ||||
\(601\) | −276168. | + | 100517.i | −0.764581 | + | 0.278285i | −0.694728 | − | 0.719272i | \(-0.744475\pi\) |
−0.0698533 | + | 0.997557i | \(0.522253\pi\) | |||||||
\(602\) | 55988.5 | + | 32324.9i | 0.154492 | + | 0.0891959i | ||||
\(603\) | 199646. | − | 148767.i | 0.549067 | − | 0.409141i | ||||
\(604\) | −164131. | − | 284283.i | −0.449900 | − | 0.779249i | ||||
\(605\) | 266674. | − | 317810.i | 0.728568 | − | 0.868274i | ||||
\(606\) | −1.07842e6 | − | 428156.i | −2.93660 | − | 1.16589i | ||||
\(607\) | 93005.7 | + | 527462.i | 0.252425 | + | 1.43157i | 0.802597 | + | 0.596522i | \(0.203451\pi\) |
−0.550172 | + | 0.835051i | \(0.685438\pi\) | |||||||
\(608\) | −1.20696e6 | + | 212819.i | −3.26501 | + | 0.575709i | ||||
\(609\) | −1817.40 | + | 4577.62i | −0.00490024 | + | 0.0123426i | ||||
\(610\) | −115185. | − | 96651.3i | −0.309553 | − | 0.259745i | ||||
\(611\) | −13797.6 | + | 7966.04i | −0.0369590 | + | 0.0213383i | ||||
\(612\) | 685357. | + | 919748.i | 1.82984 | + | 2.45565i | ||||
\(613\) | 212960. | − | 368858.i | 0.566732 | − | 0.981608i | −0.430154 | − | 0.902755i | \(-0.641541\pi\) |
0.996886 | − | 0.0788530i | \(-0.0251258\pi\) | |||||||
\(614\) | 191668. | + | 526604.i | 0.508409 | + | 1.39684i | ||||
\(615\) | 719871. | − | 238715.i | 1.90329 | − | 0.631146i | ||||
\(616\) | 110662. | − | 92856.6i | 0.291634 | − | 0.244710i | ||||
\(617\) | 134093. | − | 368417.i | 0.352237 | − | 0.967763i | −0.629413 | − | 0.777071i | \(-0.716705\pi\) |
0.981650 | − | 0.190692i | \(-0.0610732\pi\) | |||||||
\(618\) | −25097.7 | + | 869142.i | −0.0657140 | + | 2.27569i | ||||
\(619\) | −969.457 | + | 5498.07i | −0.00253016 | + | 0.0143492i | −0.986047 | − | 0.166469i | \(-0.946763\pi\) |
0.983517 | + | 0.180818i | \(0.0578746\pi\) | |||||||
\(620\) | − | 1.20795e6i | − | 3.14242i | ||||||
\(621\) | 117396. | − | 252191.i | 0.304417 | − | 0.653952i | ||||
\(622\) | 489699. | 1.26575 | ||||||||
\(623\) | 60885.5 | + | 10735.8i | 0.156869 | + | 0.0276603i | ||||
\(624\) | 12464.1 | + | 23103.9i | 0.0320105 | + | 0.0593358i | ||||
\(625\) | 352498. | + | 128299.i | 0.902396 | + | 0.328445i | ||||
\(626\) | −386472. | − | 460579.i | −0.986209 | − | 1.17532i | ||||
\(627\) | −264364. | − | 54526.0i | −0.672461 | − | 0.138698i | ||||
\(628\) | −678019. | + | 246779.i | −1.71918 | + | 0.625732i | ||||
\(629\) | −152177. | − | 87859.2i | −0.384633 | − | 0.222068i | ||||
\(630\) | −74154.6 | + | 313499.i | −0.186835 | + | 0.789868i | ||||
\(631\) | 327793. | + | 567755.i | 0.823269 | + | 1.42594i | 0.903235 | + | 0.429145i | \(0.141185\pi\) |
−0.0799669 | + | 0.996798i | \(0.525481\pi\) | |||||||
\(632\) | −275740. | + | 328614.i | −0.690345 | + | 0.822721i | ||||
\(633\) | 51673.2 | + | 352229.i | 0.128961 | + | 0.879058i | ||||
\(634\) | 45182.7 | + | 256244.i | 0.112407 | + | 0.637492i | ||||
\(635\) | −652571. | + | 115066.i | −1.61838 | + | 0.285364i | ||||
\(636\) | −132090. | − | 166979.i | −0.326554 | − | 0.412808i | ||||
\(637\) | 7170.04 | + | 6016.38i | 0.0176703 | + | 0.0148271i | ||||
\(638\) | 12989.6 | − | 7499.53i | 0.0319119 | − | 0.0184244i | ||||
\(639\) | −123480. | − | 81136.3i | −0.302410 | − | 0.198707i | ||||
\(640\) | 141390. | − | 244895.i | 0.345192 | − | 0.597889i | ||||
\(641\) | 58215.2 | + | 159945.i | 0.141684 | + | 0.389273i | 0.990156 | − | 0.139966i | \(-0.0446995\pi\) |
−0.848472 | + | 0.529240i | \(0.822477\pi\) | |||||||
\(642\) | −538155. | − | 478705.i | −1.30568 | − | 1.16144i | ||||
\(643\) | 590812. | − | 495750.i | 1.42898 | − | 1.19906i | 0.482675 | − | 0.875800i | \(-0.339665\pi\) |
0.946310 | − | 0.323261i | \(-0.104779\pi\) | |||||||
\(644\) | 77235.4 | − | 212203.i | 0.186228 | − | 0.511657i | ||||
\(645\) | 158642. | + | 97803.8i | 0.381329 | + | 0.235091i | ||||
\(646\) | 252808. | − | 1.43375e6i | 0.605796 | − | 3.43564i | ||||
\(647\) | − | 205603.i | − | 0.491159i | −0.969377 | − | 0.245579i | \(-0.921022\pi\) | ||
0.969377 | − | 0.245579i | \(-0.0789782\pi\) | |||||||
\(648\) | −1.05981e6 | + | 458265.i | −2.52393 | + | 1.09136i | ||||
\(649\) | −187170. | −0.444372 | ||||||||
\(650\) | 20480.5 | + | 3611.26i | 0.0484745 | + | 0.00854737i | ||||
\(651\) | −60320.2 | + | 97842.1i | −0.142331 | + | 0.230868i | ||||
\(652\) | −1.67648e6 | − | 610190.i | −3.94370 | − | 1.43539i | ||||
\(653\) | −240608. | − | 286746.i | −0.564266 | − | 0.672467i | 0.406177 | − | 0.913794i | \(-0.366862\pi\) |
−0.970444 | + | 0.241328i | \(0.922417\pi\) | |||||||
\(654\) | 67260.3 | − | 75613.4i | 0.157255 | − | 0.176784i | ||||
\(655\) | −929247. | + | 338218.i | −2.16595 | + | 0.788342i | ||||
\(656\) | 1.38762e6 | + | 801142.i | 3.22450 | + | 1.86167i | ||||
\(657\) | −447381. | − | 25859.1i | −1.03645 | − | 0.0599078i | ||||
\(658\) | −206526. | − | 357714.i | −0.477005 | − | 0.826197i | ||||
\(659\) | −341921. | + | 407485.i | −0.787326 | + | 0.938299i | −0.999240 | − | 0.0389896i | \(-0.987586\pi\) |
0.211913 | + | 0.977288i | \(0.432031\pi\) | |||||||
\(660\) | 548015. | − | 433511.i | 1.25807 | − | 0.995203i | ||||
\(661\) | −63363.3 | − | 359351.i | −0.145022 | − | 0.822463i | −0.967349 | − | 0.253447i | \(-0.918436\pi\) |
0.822327 | − | 0.569015i | \(-0.192676\pi\) | |||||||
\(662\) | 949921. | − | 167497.i | 2.16756 | − | 0.382200i | ||||
\(663\) | −13685.7 | + | 2007.75i | −0.0311345 | + | 0.00456754i | ||||
\(664\) | −703769. | − | 590532.i | −1.59622 | − | 1.33939i | ||||
\(665\) | 252210. | − | 145614.i | 0.570322 | − | 0.329275i | ||||
\(666\) | 203583. | − | 215976.i | 0.458980 | − | 0.486920i | ||||
\(667\) | 6986.82 | − | 12101.5i | 0.0157046 | − | 0.0272012i | ||||
\(668\) | 619871. | + | 1.70308e6i | 1.38915 | + | 3.81665i | ||||
\(669\) | −101535. | + | 492284.i | −0.226864 | + | 1.09993i | ||||
\(670\) | 626670. | − | 525839.i | 1.39601 | − | 1.17139i | ||||
\(671\) | 10614.2 | − | 29162.3i | 0.0235745 | − | 0.0647703i | ||||
\(672\) | −265690. | + | 143334.i | −0.588350 | + | 0.317403i | ||||
\(673\) | −41086.6 | + | 233014.i | −0.0907131 | + | 0.514459i | 0.905264 | + | 0.424850i | \(0.139673\pi\) |
−0.995977 | + | 0.0896096i | \(0.971438\pi\) | |||||||
\(674\) | − | 993546.i | − | 2.18710i | ||||||
\(675\) | −122130. | + | 457005.i | −0.268050 | + | 1.00303i | ||||
\(676\) | 1.13032e6 | 2.47348 | ||||||||
\(677\) | 469839. | + | 82845.2i | 1.02511 | + | 0.180755i | 0.660832 | − | 0.750534i | \(-0.270204\pi\) |
0.364281 | + | 0.931289i | \(0.381315\pi\) | |||||||
\(678\) | 2337.78 | + | 67.5068i | 0.00508562 | + | 0.000146855i | ||||
\(679\) | −184781. | − | 67254.7i | −0.400791 | − | 0.145876i | ||||
\(680\) | 1.44374e6 | + | 1.72058e6i | 3.12227 | + | 3.72097i | ||||
\(681\) | −33919.3 | − | 102287.i | −0.0731397 | − | 0.220560i | ||||
\(682\) | 328930. | − | 119721.i | 0.707188 | − | 0.257395i | ||||
\(683\) | −303490. | − | 175220.i | −0.650584 | − | 0.375615i | 0.138096 | − | 0.990419i | \(-0.455902\pi\) |
−0.788680 | + | 0.614804i | \(0.789235\pi\) | |||||||
\(684\) | 1.60851e6 | + | 693003.i | 3.43805 | + | 1.48123i | ||||
\(685\) | 402803. | + | 697674.i | 0.858442 | + | 1.48687i | ||||
\(686\) | −327955. | + | 390841.i | −0.696892 | + | 0.830524i | ||||
\(687\) | 437248. | + | 173596.i | 0.926433 | + | 0.367812i | ||||
\(688\) | 68371.0 | + | 387751.i | 0.144442 | + | 0.819174i | ||||
\(689\) | 2528.51 | − | 445.845i | 0.00532632 | − | 0.000939173i | ||||
\(690\) | 337265. | − | 849493.i | 0.708391 | − | 1.78427i | ||||
\(691\) | −93314.5 | − | 78300.2i | −0.195431 | − | 0.163986i | 0.539821 | − | 0.841780i | \(-0.318492\pi\) |
−0.735252 | + | 0.677794i | \(0.762936\pi\) | |||||||
\(692\) | −1.20563e6 | + | 696071.i | −2.51769 | + | 1.45359i | ||||
\(693\) | −66036.5 | + | 7748.06i | −0.137505 | + | 0.0161334i | ||||
\(694\) | 216128. | − | 374345.i | 0.448738 | − | 0.777236i | ||||
\(695\) | −236048. | − | 648535.i | −0.488686 | − | 1.34265i | ||||
\(696\) | −55053.3 | + | 18256.1i | −0.113649 | + | 0.0376869i | ||||
\(697\) | −646740. | + | 542680.i | −1.33126 | + | 1.11706i | ||||
\(698\) | −332985. | + | 914868.i | −0.683460 | + | 1.87779i | ||||
\(699\) | 6934.14 | − | 240131.i | 0.0141918 | − | 0.491466i | ||||
\(700\) | −66683.2 | + | 378179.i | −0.136088 | + | 0.771794i | ||||
\(701\) | − | 430379.i | − | 0.875820i | −0.899019 | − | 0.437910i | \(-0.855719\pi\) | ||
0.899019 | − | 0.437910i | \(-0.144281\pi\) | |||||||
\(702\) | 2020.90 | − | 23276.2i | 0.00410082 | − | 0.0472322i | ||||
\(703\) | −268314. | −0.542916 | ||||||||
\(704\) | 318015. | + | 56074.7i | 0.641656 | + | 0.113141i | ||||
\(705\) | −565345. | − | 1.04794e6i | −1.13746 | − | 2.10843i | ||||
\(706\) | −194238. | − | 70696.8i | −0.389695 | − | 0.141837i | ||||
\(707\) | 166081. | + | 197928.i | 0.332262 | + | 0.395975i | ||||
\(708\) | 1.18942e6 | + | 245323.i | 2.37285 | + | 0.489409i | ||||
\(709\) | 701376. | − | 255280.i | 1.39527 | − | 0.507837i | 0.468500 | − | 0.883463i | \(-0.344795\pi\) |
0.926771 | + | 0.375626i | \(0.122572\pi\) | |||||||
\(710\) | −420423. | − | 242731.i | −0.834007 | − | 0.481514i | ||||
\(711\) | 189122. | − | 56710.4i | 0.374114 | − | 0.112182i | ||||
\(712\) | 364038. | + | 630532.i | 0.718103 | + | 1.24379i | ||||
\(713\) | 209619. | − | 249815.i | 0.412337 | − | 0.491404i | ||||
\(714\) | −52052.5 | − | 354814.i | −0.102105 | − | 0.695992i | ||||
\(715\) | 1463.24 | + | 8298.42i | 0.00286221 | + | 0.0162324i | ||||
\(716\) | −292483. | + | 51572.6i | −0.570524 | + | 0.100599i | ||||
\(717\) | −19672.3 | − | 24868.4i | −0.0382663 | − | 0.0483738i | ||||
\(718\) | 127555. | + | 107031.i | 0.247428 | + | 0.207617i | ||||
\(719\) | −41439.1 | + | 23924.9i | −0.0801590 | + | 0.0462798i | −0.539544 | − | 0.841958i | \(-0.681403\pi\) |
0.459385 | + | 0.888237i | \(0.348070\pi\) | |||||||
\(720\) | −1.75289e6 | + | 881301.i | −3.38134 | + | 1.70004i | ||||
\(721\) | 96810.0 | − | 167680.i | 0.186230 | − | 0.322560i | ||||
\(722\) | −427964. | − | 1.17582e6i | −0.820981 | − | 2.25563i | ||||
\(723\) | 579144. | + | 515166.i | 1.10792 | + | 0.985532i | ||||
\(724\) | −63441.0 | + | 53233.3i | −0.121030 | + | 0.101556i | ||||
\(725\) | −8127.22 | + | 22329.4i | −0.0154620 | + | 0.0424816i | ||||
\(726\) | −664018. | − | 409371.i | −1.25982 | − | 0.776682i | ||||
\(727\) | 48735.6 | − | 276393.i | 0.0922098 | − | 0.522948i | −0.903357 | − | 0.428890i | \(-0.858905\pi\) |
0.995567 | − | 0.0940583i | \(-0.0299840\pi\) | |||||||
\(728\) | − | 11303.6i | − | 0.0213281i | ||||||
\(729\) | 523489. | + | 91591.7i | 0.985036 | + | 0.172346i | ||||
\(730\) | −1.47240e6 | −2.76299 | ||||||||
\(731\) | −204310. | − | 36025.4i | −0.382344 | − | 0.0674176i | ||||
\(732\) | −105674. | + | 171408.i | −0.197218 | + | 0.319896i | ||||
\(733\) | −440523. | − | 160337.i | −0.819900 | − | 0.298419i | −0.102193 | − | 0.994765i | \(-0.532586\pi\) |
−0.717707 | + | 0.696345i | \(0.754808\pi\) | |||||||
\(734\) | −932293. | − | 1.11106e6i | −1.73046 | − | 2.06228i | ||||
\(735\) | −464926. | + | 522665.i | −0.860615 | + | 0.967495i | ||||
\(736\) | 804851. | − | 292942.i | 1.48580 | − | 0.540787i | ||||
\(737\) | 146221. | + | 84421.0i | 0.269201 | + | 0.155423i | ||||
\(738\) | −640561. | − | 1.27406e6i | −1.17611 | − | 2.33925i | ||||
\(739\) | −23646.7 | − | 40957.4i | −0.0432995 | − | 0.0749969i | 0.843563 | − | 0.537030i | \(-0.180454\pi\) |
−0.886863 | + | 0.462033i | \(0.847120\pi\) | |||||||
\(740\) | 446462. | − | 532072.i | 0.815306 | − | 0.971644i | ||||
\(741\) | −16564.9 | + | 13103.8i | −0.0301684 | + | 0.0238649i | ||||
\(742\) | 11558.9 | + | 65553.8i | 0.0209947 | + | 0.119067i | ||||
\(743\) | 556406. | − | 98109.4i | 1.00789 | − | 0.177719i | 0.354756 | − | 0.934959i | \(-0.384564\pi\) |
0.653136 | + | 0.757240i | \(0.273453\pi\) | |||||||
\(744\) | −1.33927e6 | + | 196476.i | −2.41948 | + | 0.354946i | ||||
\(745\) | 709854. | + | 595638.i | 1.27896 | + | 1.07317i | ||||
\(746\) | −1.09909e6 | + | 634563.i | −1.97496 | + | 1.14024i | ||||
\(747\) | 121452. | + | 405029.i | 0.217653 | + | 0.725847i | ||||
\(748\) | −388919. | + | 673628.i | −0.695114 | + | 1.20397i | ||||
\(749\) | 54855.2 | + | 150713.i | 0.0977810 | + | 0.268651i | ||||
\(750\) | −11560.5 | + | 56050.1i | −0.0205521 | + | 0.0996447i | ||||
\(751\) | −243878. | + | 204638.i | −0.432408 | + | 0.362833i | −0.832859 | − | 0.553485i | \(-0.813298\pi\) |
0.400452 | + | 0.916318i | \(0.368853\pi\) | |||||||
\(752\) | 860380. | − | 2.36387e6i | 1.52144 | − | 4.18012i | ||||
\(753\) | 102294. | − | 55185.7i | 0.180410 | − | 0.0973277i | ||||
\(754\) | 203.800 | − | 1155.81i | 0.000358477 | − | 0.00203302i | ||||
\(755\) | 295854.i | 0.519019i | ||||||||
\(756\) | 429803. | + | 37316.6i | 0.752014 | + | 0.0652918i | ||||
\(757\) | 55832.2 | 0.0974301 | 0.0487151 | − | 0.998813i | \(-0.484487\pi\) | ||||
0.0487151 | + | 0.998813i | \(0.484487\pi\) | |||||||
\(758\) | 1.30047e6 | + | 229309.i | 2.26341 | + | 0.399100i | ||||
\(759\) | 188563. | + | 5445.05i | 0.327321 | + | 0.00945188i | ||||
\(760\) | 3.22279e6 | + | 1.17300e6i | 5.57963 | + | 2.03082i | ||||
\(761\) | −357987. | − | 426632.i | −0.618156 | − | 0.736689i | 0.362597 | − | 0.931946i | \(-0.381890\pi\) |
−0.980752 | + | 0.195257i | \(0.937446\pi\) | |||||||
\(762\) | 392162. | + | 1.18261e6i | 0.675392 | + | 2.03671i | ||||
\(763\) | −21175.9 | + | 7707.41i | −0.0363742 | + | 0.0132391i | ||||
\(764\) | 391249. | + | 225887.i | 0.670295 | + | 0.386995i | ||||
\(765\) | −120467. | − | 1.02674e6i | −0.205847 | − | 1.75443i | ||||
\(766\) | −168637. | − | 292087.i | −0.287405 | − | 0.497800i | ||||
\(767\) | −9413.97 | + | 11219.1i | −0.0160023 | + | 0.0190708i | ||||
\(768\) | 292633. | + | 116181.i | 0.496136 | + | 0.196976i | ||||
\(769\) | 57418.1 | + | 325634.i | 0.0970948 | + | 0.550652i | 0.994085 | + | 0.108602i | \(0.0346374\pi\) |
−0.896991 | + | 0.442050i | \(0.854251\pi\) | |||||||
\(770\) | −215143. | + | 37935.6i | −0.362866 | + | 0.0639831i | ||||
\(771\) | −31729.3 | + | 79918.8i | −0.0533767 | + | 0.134444i | ||||
\(772\) | −854458. | − | 716975.i | −1.43369 | − | 1.20301i | ||||
\(773\) | 919517. | − | 530884.i | 1.53887 | − | 0.888465i | 0.539961 | − | 0.841690i | \(-0.318439\pi\) |
0.998905 | − | 0.0467747i | \(-0.0148943\pi\) | |||||||
\(774\) | 138653. | − | 321823.i | 0.231444 | − | 0.537198i | ||||
\(775\) | −277278. | + | 480259.i | −0.461648 | + | 0.799598i | ||||
\(776\) | −792021. | − | 2.17606e6i | −1.31527 | − | 3.61366i | ||||
\(777\) | −62732.5 | + | 20802.6i | −0.103908 | + | 0.0344569i | ||||
\(778\) | −374309. | + | 314083.i | −0.618403 | + | 0.518901i | ||||
\(779\) | −440914. | + | 1.21140e6i | −0.726573 | + | 1.99624i | ||||
\(780\) | 1578.17 | − | 54652.6i | 0.00259397 | − | 0.0898300i | ||||
\(781\) | 17398.9 | − | 98673.9i | 0.0285246 | − | 0.161771i | ||||
\(782\) | 1.01744e6i | 1.66378i | ||||||||
\(783\) | 25790.8 | + | 6892.36i | 0.0420671 | + | 0.0112420i | ||||
\(784\) | −1.47786e6 | −2.40437 | ||||||||
\(785\) | 640420. | + | 112923.i | 1.03926 | + | 0.183250i | ||||
\(786\) | 882814. | + | 1.63642e6i | 1.42897 | + | 2.64880i | ||||
\(787\) | 375416. | + | 136640.i | 0.606127 | + | 0.220612i | 0.626808 | − | 0.779174i | \(-0.284361\pi\) |
−0.0206809 | + | 0.999786i | \(0.506583\pi\) | |||||||
\(788\) | −1.70874e6 | − | 2.03639e6i | −2.75184 | − | 3.27951i | ||||
\(789\) | −749269. | − | 154540.i | −1.20360 | − | 0.248248i | ||||
\(790\) | 609606. | − | 221879.i | 0.976777 | − | 0.355518i | ||||
\(791\) | −451.018 | − | 260.395i | −0.000720843 | − | 0.000416179i | ||||
\(792\) | −569777. | − | 537082.i | −0.908353 | − | 0.856230i | ||||
\(793\) | −1214.16 | − | 2102.98i | −0.00193076 | − | 0.00334418i | ||||
\(794\) | −1.07134e6 | + | 1.27677e6i | −1.69937 | + | 2.02522i | ||||
\(795\) | 27852.6 | + | 189857.i | 0.0440689 | + | 0.300394i | ||||
\(796\) | 143332. | + | 812878.i | 0.226213 | + | 1.28292i | ||||
\(797\) | −969956. | + | 171029.i | −1.52699 | + | 0.269249i | −0.873175 | − | 0.487407i | \(-0.837943\pi\) |
−0.653813 | + | 0.756657i | \(0.726832\pi\) | |||||||
\(798\) | −339726. | − | 429459.i | −0.533486 | − | 0.674397i | ||||
\(799\) | 1.01538e6 | + | 852006.i | 1.59051 | + | 1.33459i | ||||
\(800\) | −1.26137e6 | + | 728251.i | −1.97089 | + | 1.13789i | ||||
\(801\) | 19337.3 | − | 334549.i | 0.0301392 | − | 0.521428i | ||||
\(802\) | 1.00747e6 | − | 1.74499e6i | 1.56633 | − | 2.71296i | ||||
\(803\) | −103938. | − | 285566.i | −0.161191 | − | 0.442869i | ||||
\(804\) | −818556. | − | 728130.i | −1.26630 | − | 1.12641i | ||||
\(805\) | −155911. | + | 130825.i | −0.240594 | + | 0.201882i | ||||
\(806\) | 9367.83 | − | 25737.9i | 0.0144201 | − | 0.0396190i | ||||
\(807\) | −107851. | − | 66490.7i | −0.165606 | − | 0.102097i | ||||
\(808\) | −528368. | + | 2.99653e6i | −0.809309 | + | 4.58982i | ||||
\(809\) | − | 321706.i | − | 0.491544i | −0.969328 | − | 0.245772i | \(-0.920959\pi\) | ||
0.969328 | − | 0.245772i | \(-0.0790414\pi\) | |||||||
\(810\) | 1.73451e6 | + | 201186.i | 2.64367 | + | 0.306639i | ||||
\(811\) | −183034. | −0.278285 | −0.139143 | − | 0.990272i | \(-0.544435\pi\) | ||||
−0.139143 | + | 0.990272i | \(0.544435\pi\) | |||||||
\(812\) | 21342.3 | + | 3763.23i | 0.0323690 | + | 0.00570753i | ||||
\(813\) | 85671.2 | − | 138963.i | 0.129615 | − | 0.210241i | ||||
\(814\) | 189135. | + | 68839.7i | 0.285446 | + | 0.103894i | ||||
\(815\) | 1.03357e6 | + | 1.23176e6i | 1.55605 | + | 1.85443i | ||||
\(816\) | 1.45157e6 | − | 1.63184e6i | 2.18001 | − | 2.45075i | ||||
\(817\) | −297680. | + | 108347.i | −0.445970 | + | 0.162320i | ||||
\(818\) | 1.33772e6 | + | 772332.i | 1.99921 | + | 1.15424i | ||||
\(819\) | −2856.97 | + | 4347.99i | −0.00425930 | + | 0.00648217i | ||||
\(820\) | −1.66857e6 | − | 2.89006e6i | −2.48152 | − | 4.29812i | ||||
\(821\) | 472182. | − | 562724.i | 0.700523 | − | 0.834851i | −0.292062 | − | 0.956399i | \(-0.594341\pi\) |
0.992586 | + | 0.121548i | \(0.0387858\pi\) | |||||||
\(822\) | 1.18799e6 | − | 939763.i | 1.75820 | − | 1.39083i | ||||
\(823\) | −188428. | − | 1.06863e6i | −0.278192 | − | 1.57771i | −0.728635 | − | 0.684902i | \(-0.759845\pi\) |
0.450443 | − | 0.892805i | \(-0.351266\pi\) | |||||||
\(824\) | 2.24551e6 | − | 395945.i | 3.30721 | − | 0.583150i | ||||
\(825\) | −317392. | + | 46562.5i | −0.466324 | + | 0.0684114i | ||||
\(826\) | −290865. | − | 244065.i | −0.426316 | − | 0.357722i | ||||
\(827\) | −126278. | + | 72906.7i | −0.184636 | + | 0.106600i | −0.589469 | − | 0.807791i | \(-0.700663\pi\) |
0.404833 | + | 0.914391i | \(0.367330\pi\) | |||||||
\(828\) | −1.19114e6 | − | 281752.i | −1.73742 | − | 0.410966i | ||||
\(829\) | −403873. | + | 699529.i | −0.587673 | + | 1.01788i | 0.406863 | + | 0.913489i | \(0.366623\pi\) |
−0.994536 | + | 0.104391i | \(0.966711\pi\) | |||||||
\(830\) | 475181. | + | 1.30555e6i | 0.689767 | + | 1.89512i | ||||
\(831\) | −265024. | + | 1.28494e6i | −0.383780 | + | 1.86072i | ||||
\(832\) | 19356.2 | − | 16241.8i | 0.0279623 | − | 0.0234632i | ||||
\(833\) | 266331. | − | 731739.i | 0.383824 | − | 1.05455i | ||||
\(834\) | −1.14208e6 | + | 616129.i | −1.64197 | + | 0.885808i | ||||
\(835\) | 283646. | − | 1.60864e6i | 0.406822 | − | 2.30720i | ||||
\(836\) | 1.18772e6i | 1.69943i | ||||||||
\(837\) | 564818. | + | 262925.i | 0.806228 | + | 0.375301i | ||||
\(838\) | −654446. | −0.931936 | ||||||||
\(839\) | −683160. | − | 120459.i | −0.970506 | − | 0.171126i | −0.334148 | − | 0.942520i | \(-0.608449\pi\) |
−0.636358 | + | 0.771394i | \(0.719560\pi\) | |||||||
\(840\) | 844441. | + | 24384.5i | 1.19677 | + | 0.0345585i | ||||
\(841\) | −663367. | − | 241446.i | −0.937911 | − | 0.341372i | ||||
\(842\) | 1.33110e6 | + | 1.58634e6i | 1.87753 | + | 2.23755i | ||||
\(843\) | 3464.86 | + | 10448.6i | 0.00487563 | + | 0.0147030i | ||||
\(844\) | 1.47198e6 | − | 535756.i | 2.06641 | − | 0.752112i | ||||
\(845\) | −882246. | − | 509365.i | −1.23559 | − | 0.713371i | ||||
\(846\) | −1.79525e6 | + | 1.33774e6i | −2.50833 | + | 1.86910i | ||||
\(847\) | 86852.2 | + | 150432.i | 0.121064 | + | 0.209689i | ||||
\(848\) | −260584. | + | 310552.i | −0.362373 | + | 0.431859i | ||||
\(849\) | −905053. | − | 359324.i | −1.25562 | − | 0.498506i | ||||
\(850\) | −300443. | − | 1.70390e6i | −0.415838 | − | 2.35833i | ||||
\(851\) | 184665. | − | 32561.4i | 0.254991 | − | 0.0449618i | ||||
\(852\) | −239898. | + | 604247.i | −0.330481 | + | 0.832406i | ||||
\(853\) | 573354. | + | 481101.i | 0.787998 | + | 0.661208i | 0.945249 | − | 0.326350i | \(-0.105819\pi\) |
−0.157251 | + | 0.987559i | \(0.550263\pi\) | |||||||
\(854\) | 54521.5 | − | 31478.0i | 0.0747571 | − | 0.0431610i | ||||
\(855\) | −943193. | − | 1.26576e6i | −1.29023 | − | 1.73149i | ||||
\(856\) | −944388. | + | 1.63573e6i | −1.28885 | + | 2.23236i | ||||
\(857\) | −84810.3 | − | 233014.i | −0.115475 | − | 0.317264i | 0.868469 | − | 0.495744i | \(-0.165104\pi\) |
−0.983944 | + | 0.178479i | \(0.942882\pi\) | |||||||
\(858\) | 15038.6 | − | 4986.93i | 0.0204284 | − | 0.00677421i | ||||
\(859\) | 842217. | − | 706704.i | 1.14140 | − | 0.957748i | 0.141916 | − | 0.989879i | \(-0.454674\pi\) |
0.999484 | + | 0.0321302i | \(0.0102291\pi\) | |||||||
\(860\) | 280472. | − | 770590.i | 0.379221 | − | 1.04190i | ||||
\(861\) | −9165.78 | + | 317413.i | −0.0123641 | + | 0.428173i | ||||
\(862\) | 54189.9 | − | 307326.i | 0.0729296 | − | 0.413604i | ||||
\(863\) | − | 337849.i | − | 0.453629i | −0.973938 | − | 0.226814i | \(-0.927169\pi\) | ||
0.973938 | − | 0.226814i | \(-0.0728311\pi\) | |||||||
\(864\) | 939434. | + | 1.33977e6i | 1.25846 | + | 1.79474i | ||||
\(865\) | 1.25470e6 | 1.67691 | ||||||||
\(866\) | 7437.80 | + | 1311.48i | 0.00991765 | + | 0.00174875i | ||||
\(867\) | 189489. | + | 351245.i | 0.252085 | + | 0.467274i | ||||
\(868\) | 475259. | + | 172980.i | 0.630799 | + | 0.229592i | ||||
\(869\) | 86064.9 | + | 102568.i | 0.113969 | + | 0.135823i | ||||
\(870\) | 85905.8 | + | 17718.4i | 0.113497 | + | 0.0234091i | ||||
\(871\) | 12414.7 | − | 4518.58i | 0.0163644 | − | 0.00595614i | ||||
\(872\) | −229827. | − | 132691.i | −0.302252 | − | 0.174505i | ||||
\(873\) | −245343. | + | 1.03722e6i | −0.321918 | + | 1.36095i | ||||
\(874\) | 776796. | + | 1.34545e6i | 1.01691 | + | 1.76135i | ||||
\(875\) | 8191.61 | − | 9762.38i | 0.0106992 | − | 0.0127509i | ||||
\(876\) | 286210. | + | 1.95094e6i | 0.372973 | + | 2.54236i | ||||
\(877\) | −53418.6 | − | 302952.i | −0.0694533 | − | 0.393889i | −0.999641 | − | 0.0268043i | \(-0.991467\pi\) |
0.930187 | − | 0.367085i | \(-0.119644\pi\) | |||||||
\(878\) | −481939. | + | 84978.8i | −0.625177 | + | 0.110236i | ||||
\(879\) | −593853. | − | 750710.i | −0.768601 | − | 0.971615i | ||||
\(880\) | −1.01921e6 | − | 855220.i | −1.31613 | − | 1.10436i | ||||
\(881\) | −1.14282e6 | + | 659808.i | −1.47240 | + | 0.850092i | −0.999518 | − | 0.0310333i | \(-0.990120\pi\) |
−0.472884 | + | 0.881125i | \(0.656787\pi\) | |||||||
\(882\) | 1.09923e6 | + | 722279.i | 1.41303 | + | 0.928470i | ||||
\(883\) | −347184. | + | 601340.i | −0.445285 | + | 0.771256i | −0.998072 | − | 0.0620666i | \(-0.980231\pi\) |
0.552787 | + | 0.833322i | \(0.313564\pi\) | |||||||
\(884\) | 20816.6 | + | 57193.2i | 0.0266383 | + | 0.0731880i | ||||
\(885\) | −817826. | − | 727481.i | −1.04418 | − | 0.928827i | ||||
\(886\) | −100197. | + | 84075.6i | −0.127641 | + | 0.107103i | ||||
\(887\) | 196811. | − | 540733.i | 0.250150 | − | 0.687283i | −0.749529 | − | 0.661971i | \(-0.769720\pi\) |
0.999680 | − | 0.0253113i | \(-0.00805770\pi\) | |||||||
\(888\) | −662536. | − | 408457.i | −0.840201 | − | 0.517988i | ||||
\(889\) | 48177.4 | − | 273228.i | 0.0609593 | − | 0.345717i | ||||
\(890\) | − | 1.10105e6i | − | 1.39004i | ||||||
\(891\) | 83421.0 | + | 350603.i | 0.105080 | + | 0.441632i | ||||
\(892\) | 2.21171e6 | 2.77971 | ||||||||
\(893\) | 1.99321e6 | + | 351456.i | 2.49948 | + | 0.440726i | ||||
\(894\) | 914362. | − | 1.48314e6i | 1.14405 | − | 1.85570i | ||||
\(895\) | 251531. | + | 91549.9i | 0.314012 | + | 0.114291i | ||||
\(896\) | 76105.3 | + | 90698.7i | 0.0947979 | + | 0.112976i | ||||
\(897\) | 9810.45 | − | 11028.8i | 0.0121928 | − | 0.0137070i | ||||
\(898\) | −2.51596e6 | + | 915735.i | −3.11998 | + | 1.13558i | ||||
\(899\) | 27103.1 | + | 15648.0i | 0.0335352 | + | 0.0193615i | ||||
\(900\) | 2.07799e6 | + | 120110.i | 2.56542 | + | 0.148284i | ||||
\(901\) | −106804. | − | 184990.i | −0.131564 | − | 0.227876i | ||||
\(902\) | 621604. | − | 740799.i | 0.764013 | − | 0.910515i | ||||
\(903\) | −61198.2 | + | 48411.2i | −0.0750521 | + | 0.0593704i | ||||
\(904\) | −1064.99 | − | 6039.88i | −0.00130320 | − | 0.00739080i | ||||
\(905\) | 73506.3 | − | 12961.1i | 0.0897486 | − | 0.0158251i | ||||
\(906\) | 550391. | − | 80744.3i | 0.670525 | − | 0.0983684i | ||||
\(907\) | −820336. | − | 688344.i | −0.997189 | − | 0.836741i | −0.0105963 | − | 0.999944i | \(-0.503373\pi\) |
−0.986592 | + | 0.163203i | \(0.947817\pi\) | |||||||
\(908\) | −410651. | + | 237090.i | −0.498083 | + | 0.287568i | ||||
\(909\) | 960612. | − | 1.01909e6i | 1.16257 | − | 1.23334i | ||||
\(910\) | −8547.05 | + | 14803.9i | −0.0103213 | + | 0.0178770i | ||||
\(911\) | 495638. | + | 1.36175e6i | 0.597211 | + | 1.64082i | 0.756805 | + | 0.653641i | \(0.226759\pi\) |
−0.159594 | + | 0.987183i | \(0.551019\pi\) | |||||||
\(912\) | 673658. | − | 3.26616e6i | 0.809935 | − | 3.92689i | ||||
\(913\) | −219663. | + | 184319.i | −0.263521 | + | 0.221120i | ||||
\(914\) | −890177. | + | 2.44574e6i | −1.06558 | + | 2.92764i | ||||
\(915\) | 159724. | − | 86168.0i | 0.190778 | − | 0.102921i | ||||
\(916\) | 359458. | − | 2.03859e6i | 0.428408 | − | 2.42962i | ||||
\(917\) | − | 414040.i | − | 0.492384i | ||||||
\(918\) | −1.87721e6 | + | 504327.i | −2.22755 | + | 0.598449i | ||||
\(919\) | −795804. | −0.942269 | −0.471134 | − | 0.882061i | \(-0.656155\pi\) | ||||
−0.471134 | + | 0.882061i | \(0.656155\pi\) | |||||||
\(920\) | −2.36041e6 | − | 416204.i | −2.78877 | − | 0.491735i | ||||
\(921\) | −676110. | − | 19523.7i | −0.797073 | − | 0.0230167i | ||||
\(922\) | 654695. | + | 238289.i | 0.770153 | + | 0.280313i | ||||
\(923\) | −5039.50 | − | 6005.85i | −0.00591540 | − | 0.00704970i | ||||
\(924\) | 92085.3 | + | 277693.i | 0.107857 | + | 0.325253i | ||||
\(925\) | −299640. | + | 109060.i | −0.350200 | + | 0.127462i | ||||
\(926\) | −83081.5 | − | 47967.2i | −0.0968908 | − | 0.0559399i | ||||
\(927\) | −963827. | − | 415251.i | −1.12160 | − | 0.483227i | ||||
\(928\) | 41098.4 | + | 71184.6i | 0.0477232 | + | 0.0826590i | ||||
\(929\) | −709612. | + | 845683.i | −0.822223 | + | 0.979887i | −0.999991 | − | 0.00418521i | \(-0.998668\pi\) |
0.177768 | + | 0.984072i | \(0.443112\pi\) | |||||||
\(930\) | 1.90256e6 | + | 755355.i | 2.19975 | + | 0.873343i | ||||
\(931\) | −206475. | − | 1.17098e6i | −0.238214 | − | 1.35098i | ||||
\(932\) | −1.04099e6 | + | 183555.i | −1.19844 | + | 0.211317i | ||||
\(933\) | −218101. | + | 549346.i | −0.250550 | + | 0.631077i | ||||
\(934\) | 688506. | + | 577725.i | 0.789249 | + | 0.662258i | ||||
\(935\) | 607124. | − | 350523.i | 0.694471 | − | 0.400953i | ||||
\(936\) | −60851.0 | + | 7139.64i | −0.0694569 | + | 0.00814938i | ||||
\(937\) | −88661.1 | + | 153565.i | −0.100984 | + | 0.174910i | −0.912090 | − | 0.409989i | \(-0.865533\pi\) |
0.811106 | + | 0.584899i | \(0.198866\pi\) | |||||||
\(938\) | 117148. | + | 321861.i | 0.133146 | + | 0.365816i | ||||
\(939\) | 688804. | − | 228413.i | 0.781204 | − | 0.259054i | ||||
\(940\) | −4.01355e6 | + | 3.36777e6i | −4.54227 | + | 3.81142i | ||||
\(941\) | 156015. | − | 428647.i | 0.176192 | − | 0.484084i | −0.819890 | − | 0.572522i | \(-0.805965\pi\) |
0.996082 | + | 0.0884379i | \(0.0281875\pi\) | |||||||
\(942\) | 35293.5 | − | 1.22222e6i | 0.0397734 | − | 1.37736i | ||||
\(943\) | 156445. | − | 887245.i | 0.175930 | − | 0.997746i | ||||
\(944\) | − | 2.31245e6i | − | 2.59494i | ||||||
\(945\) | −318657. | − | 222812.i | −0.356828 | − | 0.249503i | ||||
\(946\) | 237634. | 0.265537 | ||||||||
\(947\) | −924331. | − | 162985.i | −1.03069 | − | 0.181738i | −0.367370 | − | 0.930075i | \(-0.619742\pi\) |
−0.663319 | + | 0.748337i | \(0.730853\pi\) | |||||||
\(948\) | −412489. | − | 764605.i | −0.458982 | − | 0.850786i | ||||
\(949\) | −22344.8 | − | 8132.84i | −0.0248110 | − | 0.00903046i | ||||
\(950\) | −1.69819e6 | − | 2.02382e6i | −1.88165 | − | 2.24246i | ||||
\(951\) | −307578. | − | 63439.1i | −0.340091 | − | 0.0701449i | ||||
\(952\) | −883697. | + | 321639.i | −0.975056 | + | 0.354891i | ||||
\(953\) | −53349.3 | − | 30801.2i | −0.0587412 | − | 0.0339143i | 0.470342 | − | 0.882484i | \(-0.344131\pi\) |
−0.529083 | + | 0.848570i | \(0.677464\pi\) | |||||||
\(954\) | 345598. | − | 103631.i | 0.379730 | − | 0.113866i | ||||
\(955\) | −203587. | − | 352623.i | −0.223225 | − | 0.386637i | ||||
\(956\) | −89683.3 | + | 106880.i | −0.0981287 | + | 0.116945i | ||||
\(957\) | 2627.73 | + | 17911.8i | 0.00286917 | + | 0.0195576i | ||||
\(958\) | −194320. | − | 1.10204e6i | −0.211732 | − | 1.20079i | ||||
\(959\) | −332178. | + | 58571.9i | −0.361188 | + | 0.0636872i | ||||
\(960\) | 1.17160e6 | + | 1.48106e6i | 1.27127 | + | 1.60705i | ||||
\(961\) | −147962. | − | 124155.i | −0.160215 | − | 0.134436i | ||||
\(962\) | 13639.2 | − | 7874.57i | 0.0147380 | − | 0.00850896i | ||||
\(963\) | 776695. | − | 390500.i | 0.837525 | − | 0.421083i | ||||
\(964\) | 1.70531e6 | − | 2.95368e6i | 1.83506 | − | 3.17841i | ||||
\(965\) | 343832. | + | 944670.i | 0.369225 | + | 1.01444i | ||||
\(966\) | 285931. | + | 254344.i | 0.306413 | + | 0.272563i | ||||
\(967\) | 163927. | − | 137551.i | 0.175306 | − | 0.147099i | −0.550913 | − | 0.834563i | \(-0.685720\pi\) |
0.726219 | + | 0.687463i | \(0.241276\pi\) | |||||||
\(968\) | −699643. | + | 1.92225e6i | −0.746665 | + | 2.05145i | ||||
\(969\) | 1.49578e6 | + | 922159.i | 1.59302 | + | 0.982106i | ||||
\(970\) | −608116. | + | 3.44880e6i | −0.646313 | + | 3.66542i | ||||
\(971\) | − | 597290.i | − | 0.633500i | −0.948509 | − | 0.316750i | \(-0.897408\pi\) | ||
0.948509 | − | 0.316750i | \(-0.102592\pi\) | |||||||
\(972\) | −70587.6 | − | 2.33735e6i | −0.0747129 | − | 2.47395i | ||||
\(973\) | 288965. | 0.305225 | ||||||||
\(974\) | −651612. | − | 114897.i | −0.686865 | − | 0.121113i | ||||
\(975\) | −13172.7 | + | 21366.7i | −0.0138569 | + | 0.0224765i | ||||
\(976\) | 360294. | + | 131136.i | 0.378231 | + | 0.137665i | ||||
\(977\) | 463336. | + | 552182.i | 0.485408 | + | 0.578487i | 0.952043 | − | 0.305963i | \(-0.0989784\pi\) |
−0.466635 | + | 0.884450i | \(0.654534\pi\) | |||||||
\(978\) | 2.00942e6 | − | 2.25897e6i | 2.10084 | − | 2.36174i | ||||
\(979\) | 213545. | − | 77723.9i | 0.222804 | − | 0.0810941i | ||||
\(980\) | 2.66563e6 | + | 1.53900e6i | 2.77554 | + | 1.60246i | ||||
\(981\) | 54867.0 | + | 109129.i | 0.0570129 | + | 0.113397i | ||||
\(982\) | 1.58651e6 | + | 2.74791e6i | 1.64520 | + | 2.84957i | ||||
\(983\) | 217960. | − | 259754.i | 0.225564 | − | 0.268816i | −0.641379 | − | 0.767224i | \(-0.721637\pi\) |
0.866943 | + | 0.498408i | \(0.166082\pi\) | |||||||
\(984\) | −2.93286e6 | + | 2.32005e6i | −3.02901 | + | 2.39611i | ||||
\(985\) | 416040. | + | 2.35948e6i | 0.428808 | + | 2.43189i | ||||
\(986\) | −96158.5 | + | 16955.3i | −0.0989085 | + | 0.0174402i | ||||
\(987\) | 493266. | − | 72363.9i | 0.506345 | − | 0.0742827i | ||||
\(988\) | 71193.3 | + | 59738.3i | 0.0729332 | + | 0.0611982i | ||||
\(989\) | 191728. | − | 110694.i | 0.196016 | − | 0.113170i | ||||
\(990\) | 340111. | + | 1.13423e6i | 0.347017 | + | 1.15726i | ||||
\(991\) | −246687. | + | 427275.i | −0.251188 | + | 0.435071i | −0.963853 | − | 0.266433i | \(-0.914155\pi\) |
0.712665 | + | 0.701505i | \(0.247488\pi\) | |||||||
\(992\) | 656086. | + | 1.80258e6i | 0.666711 | + | 1.83177i | ||||
\(993\) | −235175. | + | 1.14022e6i | −0.238502 | + | 1.15635i | ||||
\(994\) | 155707. | − | 130653.i | 0.157592 | − | 0.132235i | ||||
\(995\) | 254439. | − | 699064.i | 0.257002 | − | 0.706108i | ||||
\(996\) | 1.63750e6 | − | 883396.i | 1.65067 | − | 0.890506i | ||||
\(997\) | 135947. | − | 770996.i | 0.136767 | − | 0.775643i | −0.836846 | − | 0.547438i | \(-0.815603\pi\) |
0.973613 | − | 0.228205i | \(-0.0732857\pi\) | |||||||
\(998\) | − | 877277.i | − | 0.880797i | ||||||
\(999\) | 151611. | + | 324571.i | 0.151915 | + | 0.325221i |
(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 | 27.5.f.a.2.11 | ✓ | 66 | |
3.2 | odd | 2 | 81.5.f.a.8.1 | 66 | |||
27.13 | even | 9 | 81.5.f.a.71.1 | 66 | |||
27.14 | odd | 18 | inner | 27.5.f.a.14.11 | yes | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.5.f.a.2.11 | ✓ | 66 | 1.1 | even | 1 | trivial | |
27.5.f.a.14.11 | yes | 66 | 27.14 | odd | 18 | inner | |
81.5.f.a.8.1 | 66 | 3.2 | odd | 2 | |||
81.5.f.a.71.1 | 66 | 27.13 | even | 9 |