Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(6,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.6");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 36.16 | ||
Character | \(\chi\) | \(=\) | 43.36 |
Dual form | 43.10.c.a.6.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.60251 | −0.247598 | −0.123799 | − | 0.992307i | \(-0.539508\pi\) | ||||
−0.123799 | + | 0.992307i | \(0.539508\pi\) | |||||||
\(3\) | −131.864 | − | 228.395i | −0.939898 | − | 1.62795i | −0.765658 | − | 0.643248i | \(-0.777586\pi\) |
−0.174241 | − | 0.984703i | \(-0.555747\pi\) | |||||||
\(4\) | −480.612 | −0.938695 | ||||||||
\(5\) | 566.701 | + | 981.555i | 0.405498 | + | 0.702343i | 0.994379 | − | 0.105876i | \(-0.0337648\pi\) |
−0.588881 | + | 0.808220i | \(0.700431\pi\) | |||||||
\(6\) | 738.770 | + | 1279.59i | 0.232717 | + | 0.403078i | ||||
\(7\) | 1382.17 | − | 2393.98i | 0.217580 | − | 0.376860i | −0.736488 | − | 0.676451i | \(-0.763517\pi\) |
0.954068 | + | 0.299591i | \(0.0968503\pi\) | |||||||
\(8\) | 5561.12 | 0.480017 | ||||||||
\(9\) | −24934.8 | + | 43188.3i | −1.26682 | + | 2.19419i | ||||
\(10\) | −3174.95 | − | 5499.17i | −0.100401 | − | 0.173899i | ||||
\(11\) | 45080.8 | 0.928377 | 0.464189 | − | 0.885736i | \(-0.346346\pi\) | ||||
0.464189 | + | 0.885736i | \(0.346346\pi\) | |||||||
\(12\) | 63375.4 | + | 109769.i | 0.882278 | + | 1.52815i | ||||
\(13\) | −80597.6 | + | 139599.i | −0.782667 | + | 1.35562i | 0.147716 | + | 0.989030i | \(0.452808\pi\) |
−0.930383 | + | 0.366589i | \(0.880526\pi\) | |||||||
\(14\) | −7743.60 | + | 13412.3i | −0.0538725 | + | 0.0933098i | ||||
\(15\) | 149455. | − | 258864.i | 0.762254 | − | 1.32026i | ||||
\(16\) | 214917. | 0.819844 | ||||||||
\(17\) | −9820.42 | + | 17009.5i | −0.0285174 | + | 0.0493936i | −0.879932 | − | 0.475100i | \(-0.842412\pi\) |
0.851414 | + | 0.524493i | \(0.175745\pi\) | |||||||
\(18\) | 139697. | − | 241963.i | 0.313662 | − | 0.543278i | ||||
\(19\) | −213878. | − | 370448.i | −0.376509 | − | 0.652133i | 0.614043 | − | 0.789273i | \(-0.289542\pi\) |
−0.990552 | + | 0.137140i | \(0.956209\pi\) | |||||||
\(20\) | −272363. | − | 471747.i | −0.380639 | − | 0.659286i | ||||
\(21\) | −729032. | −0.818013 | ||||||||
\(22\) | −252566. | −0.229865 | ||||||||
\(23\) | −581871. | − | 1.00783e6i | −0.433562 | − | 0.750952i | 0.563615 | − | 0.826038i | \(-0.309410\pi\) |
−0.997177 | + | 0.0750859i | \(0.976077\pi\) | |||||||
\(24\) | −733311. | − | 1.27013e6i | −0.451168 | − | 0.781445i | ||||
\(25\) | 334263. | − | 578960.i | 0.171143 | − | 0.296428i | ||||
\(26\) | 451549. | − | 782105.i | 0.193787 | − | 0.335649i | ||||
\(27\) | 7.96104e6 | 2.88292 | ||||||||
\(28\) | −664286. | + | 1.15058e6i | −0.204241 | + | 0.353756i | ||||
\(29\) | 656740. | − | 1.13751e6i | 0.172426 | − | 0.298650i | −0.766842 | − | 0.641836i | \(-0.778173\pi\) |
0.939267 | + | 0.343186i | \(0.111506\pi\) | |||||||
\(30\) | −837323. | + | 1.45029e6i | −0.188733 | + | 0.326895i | ||||
\(31\) | 3.47469e6 | + | 6.01835e6i | 0.675755 | + | 1.17044i | 0.976248 | + | 0.216657i | \(0.0695154\pi\) |
−0.300493 | + | 0.953784i | \(0.597151\pi\) | |||||||
\(32\) | −4.05137e6 | −0.683009 | ||||||||
\(33\) | −5.94454e6 | − | 1.02962e7i | −0.872580 | − | 1.51135i | ||||
\(34\) | 55019.0 | − | 95295.7i | 0.00706086 | − | 0.0122298i | ||||
\(35\) | 3.13310e6 | 0.352913 | ||||||||
\(36\) | 1.19839e7 | − | 2.07568e7i | 1.18916 | − | 2.05968i | ||||
\(37\) | 1.81029e6 | + | 3.13552e6i | 0.158796 | + | 0.275044i | 0.934435 | − | 0.356134i | \(-0.115905\pi\) |
−0.775638 | + | 0.631177i | \(0.782572\pi\) | |||||||
\(38\) | 1.19825e6 | + | 2.07544e6i | 0.0932229 | + | 0.161467i | ||||
\(39\) | 4.25117e7 | 2.94251 | ||||||||
\(40\) | 3.15149e6 | + | 5.45854e6i | 0.194646 | + | 0.337137i | ||||
\(41\) | −1.59687e7 | −0.882558 | −0.441279 | − | 0.897370i | \(-0.645475\pi\) | ||||
−0.441279 | + | 0.897370i | \(0.645475\pi\) | |||||||
\(42\) | 4.08441e6 | 0.202538 | ||||||||
\(43\) | 3.32413e6 | − | 2.21708e7i | 0.148276 | − | 0.988946i | ||||
\(44\) | −2.16664e7 | −0.871463 | ||||||||
\(45\) | −5.65222e7 | −2.05477 | ||||||||
\(46\) | 3.25994e6 | + | 5.64638e6i | 0.107349 | + | 0.185934i | ||||
\(47\) | 716100. | 0.0214059 | 0.0107029 | − | 0.999943i | \(-0.496593\pi\) | ||||
0.0107029 | + | 0.999943i | \(0.496593\pi\) | |||||||
\(48\) | −2.83398e7 | − | 4.90860e7i | −0.770570 | − | 1.33467i | ||||
\(49\) | 1.63560e7 | + | 2.83295e7i | 0.405318 | + | 0.702031i | ||||
\(50\) | −1.87271e6 | + | 3.24363e6i | −0.0423746 | + | 0.0733950i | ||||
\(51\) | 5.17984e6 | 0.107214 | ||||||||
\(52\) | 3.87362e7 | − | 6.70930e7i | 0.734685 | − | 1.27251i | ||||
\(53\) | 1.87914e7 | + | 3.25477e7i | 0.327129 | + | 0.566604i | 0.981941 | − | 0.189188i | \(-0.0605856\pi\) |
−0.654812 | + | 0.755792i | \(0.727252\pi\) | |||||||
\(54\) | −4.46018e7 | −0.713806 | ||||||||
\(55\) | 2.55473e7 | + | 4.42493e7i | 0.376455 | + | 0.652040i | ||||
\(56\) | 7.68639e6 | − | 1.33132e7i | 0.104442 | − | 0.180899i | ||||
\(57\) | −5.64057e7 | + | 9.76975e7i | −0.707760 | + | 1.22588i | ||||
\(58\) | −3.67939e6 | + | 6.37289e6i | −0.0426923 | + | 0.0739453i | ||||
\(59\) | 8.47700e7 | 0.910769 | 0.455385 | − | 0.890295i | \(-0.349502\pi\) | ||||
0.455385 | + | 0.890295i | \(0.349502\pi\) | |||||||
\(60\) | −7.18298e7 | + | 1.24413e8i | −0.715524 | + | 1.23932i | ||||
\(61\) | 5.99318e7 | − | 1.03805e8i | 0.554208 | − | 0.959917i | −0.443756 | − | 0.896147i | \(-0.646354\pi\) |
0.997965 | − | 0.0637694i | \(-0.0203122\pi\) | |||||||
\(62\) | −1.94670e7 | − | 3.37178e7i | −0.167316 | − | 0.289799i | ||||
\(63\) | 6.89280e7 | + | 1.19387e8i | 0.551269 | + | 0.954825i | ||||
\(64\) | −8.73397e7 | −0.650732 | ||||||||
\(65\) | −1.82699e8 | −1.26948 | ||||||||
\(66\) | 3.33043e7 | + | 5.76848e7i | 0.216049 | + | 0.374208i | ||||
\(67\) | 1.23409e8 | + | 2.13750e8i | 0.748185 | + | 1.29589i | 0.948692 | + | 0.316202i | \(0.102408\pi\) |
−0.200507 | + | 0.979692i | \(0.564259\pi\) | |||||||
\(68\) | 4.71981e6 | − | 8.17495e6i | 0.0267691 | − | 0.0463655i | ||||
\(69\) | −1.53456e8 | + | 2.65793e8i | −0.815009 | + | 1.41164i | ||||
\(70\) | −1.75532e7 | −0.0873807 | ||||||||
\(71\) | 1.80934e8 | − | 3.13387e8i | 0.845001 | − | 1.46358i | −0.0406196 | − | 0.999175i | \(-0.512933\pi\) |
0.885620 | − | 0.464410i | \(-0.153733\pi\) | |||||||
\(72\) | −1.38665e8 | + | 2.40175e8i | −0.608094 | + | 1.05325i | ||||
\(73\) | 9.69112e7 | − | 1.67855e8i | 0.399412 | − | 0.691802i | −0.594242 | − | 0.804287i | \(-0.702548\pi\) |
0.993653 | + | 0.112485i | \(0.0358810\pi\) | |||||||
\(74\) | −1.01422e7 | − | 1.75668e7i | −0.0393177 | − | 0.0681003i | ||||
\(75\) | −1.76309e8 | −0.643427 | ||||||||
\(76\) | 1.02792e8 | + | 1.78042e8i | 0.353427 | + | 0.612154i | ||||
\(77\) | 6.23092e7 | − | 1.07923e8i | 0.201996 | − | 0.349868i | ||||
\(78\) | −2.38172e8 | −0.728560 | ||||||||
\(79\) | −1.16115e8 | + | 2.01117e8i | −0.335402 | + | 0.580934i | −0.983562 | − | 0.180571i | \(-0.942206\pi\) |
0.648160 | + | 0.761504i | \(0.275539\pi\) | |||||||
\(80\) | 1.21794e8 | + | 2.10953e8i | 0.332445 | + | 0.575812i | ||||
\(81\) | −5.58984e8 | − | 9.68188e8i | −1.44283 | − | 2.49906i | ||||
\(82\) | 8.94650e7 | 0.218520 | ||||||||
\(83\) | −2.68084e8 | − | 4.64335e8i | −0.620040 | − | 1.07394i | −0.989478 | − | 0.144685i | \(-0.953783\pi\) |
0.369438 | − | 0.929256i | \(-0.379550\pi\) | |||||||
\(84\) | 3.50382e8 | 0.767865 | ||||||||
\(85\) | −2.22610e7 | −0.0462550 | ||||||||
\(86\) | −1.86234e7 | + | 1.24212e8i | −0.0367128 | + | 0.244861i | ||||
\(87\) | −3.46402e8 | −0.648251 | ||||||||
\(88\) | 2.50700e8 | 0.445637 | ||||||||
\(89\) | −2.72554e7 | − | 4.72077e7i | −0.0460466 | − | 0.0797550i | 0.842084 | − | 0.539347i | \(-0.181329\pi\) |
−0.888130 | + | 0.459592i | \(0.847996\pi\) | |||||||
\(90\) | 3.16666e8 | 0.508757 | ||||||||
\(91\) | 2.22799e8 | + | 3.85898e8i | 0.340585 | + | 0.589911i | ||||
\(92\) | 2.79654e8 | + | 4.84375e8i | 0.406983 | + | 0.704915i | ||||
\(93\) | 9.16375e8 | − | 1.58721e9i | 1.27028 | − | 2.20019i | ||||
\(94\) | −4.01196e6 | −0.00530006 | ||||||||
\(95\) | 2.42410e8 | − | 4.19866e8i | 0.305347 | − | 0.528877i | ||||
\(96\) | 5.34230e8 | + | 9.25313e8i | 0.641959 | + | 1.11191i | ||||
\(97\) | 5.71310e8 | 0.655238 | 0.327619 | − | 0.944810i | \(-0.393754\pi\) | ||||
0.327619 | + | 0.944810i | \(0.393754\pi\) | |||||||
\(98\) | −9.16348e7 | − | 1.58716e8i | −0.100356 | − | 0.173822i | ||||
\(99\) | −1.12408e9 | + | 1.94696e9i | −1.17608 | + | 2.03704i | ||||
\(100\) | −1.60651e8 | + | 2.78255e8i | −0.160651 | + | 0.278255i | ||||
\(101\) | −1.00773e8 | + | 1.74544e8i | −0.0963605 | + | 0.166901i | −0.910176 | − | 0.414223i | \(-0.864053\pi\) |
0.813815 | + | 0.581124i | \(0.197387\pi\) | |||||||
\(102\) | −2.90201e7 | −0.0265459 | ||||||||
\(103\) | 9.96043e8 | − | 1.72520e9i | 0.871988 | − | 1.51033i | 0.0120510 | − | 0.999927i | \(-0.496164\pi\) |
0.859937 | − | 0.510400i | \(-0.170503\pi\) | |||||||
\(104\) | −4.48212e8 | + | 7.76327e8i | −0.375694 | + | 0.650721i | ||||
\(105\) | −4.13143e8 | − | 7.15585e8i | −0.331703 | − | 0.574526i | ||||
\(106\) | −1.05279e8 | − | 1.82349e8i | −0.0809965 | − | 0.140290i | ||||
\(107\) | 2.48012e9 | 1.82913 | 0.914567 | − | 0.404435i | \(-0.132532\pi\) | ||||
0.914567 | + | 0.404435i | \(0.132532\pi\) | |||||||
\(108\) | −3.82617e9 | −2.70618 | ||||||||
\(109\) | 9.74447e8 | + | 1.68779e9i | 0.661209 | + | 1.14525i | 0.980298 | + | 0.197523i | \(0.0632897\pi\) |
−0.319089 | + | 0.947725i | \(0.603377\pi\) | |||||||
\(110\) | −1.43129e8 | − | 2.47907e8i | −0.0932097 | − | 0.161444i | ||||
\(111\) | 4.77425e8 | − | 8.26924e8i | 0.298505 | − | 0.517026i | ||||
\(112\) | 2.97051e8 | − | 5.14508e8i | 0.178382 | − | 0.308966i | ||||
\(113\) | 2.89129e9 | 1.66817 | 0.834083 | − | 0.551639i | \(-0.185997\pi\) | ||||
0.834083 | + | 0.551639i | \(0.185997\pi\) | |||||||
\(114\) | 3.16013e8 | − | 5.47351e8i | 0.175240 | − | 0.303525i | ||||
\(115\) | 6.59494e8 | − | 1.14228e9i | 0.351617 | − | 0.609019i | ||||
\(116\) | −3.15637e8 | + | 5.46699e8i | −0.161855 | + | 0.280342i | ||||
\(117\) | −4.01936e9 | − | 6.96174e9i | −1.98299 | − | 3.43464i | ||||
\(118\) | −4.74925e8 | −0.225505 | ||||||||
\(119\) | 2.71469e7 | + | 4.70198e7i | 0.0124096 | + | 0.0214941i | ||||
\(120\) | 8.31136e8 | − | 1.43957e9i | 0.365895 | − | 0.633749i | ||||
\(121\) | −3.25669e8 | −0.138115 | ||||||||
\(122\) | −3.35768e8 | + | 5.81568e8i | −0.137221 | + | 0.237674i | ||||
\(123\) | 2.10570e9 | + | 3.64719e9i | 0.829515 | + | 1.43676i | ||||
\(124\) | −1.66998e9 | − | 2.89249e9i | −0.634327 | − | 1.09869i | ||||
\(125\) | 2.97138e9 | 1.08859 | ||||||||
\(126\) | −3.86170e8 | − | 6.68866e8i | −0.136493 | − | 0.236413i | ||||
\(127\) | −3.73717e9 | −1.27475 | −0.637377 | − | 0.770552i | \(-0.719980\pi\) | ||||
−0.637377 | + | 0.770552i | \(0.719980\pi\) | |||||||
\(128\) | 2.56362e9 | 0.844129 | ||||||||
\(129\) | −5.50203e9 | + | 2.16431e9i | −1.74932 | + | 0.688123i | ||||
\(130\) | 1.02357e9 | 0.314321 | ||||||||
\(131\) | −4.38881e9 | −1.30204 | −0.651022 | − | 0.759058i | \(-0.725660\pi\) | ||||
−0.651022 | + | 0.759058i | \(0.725660\pi\) | |||||||
\(132\) | 2.85702e9 | + | 4.94850e9i | 0.819087 | + | 1.41870i | ||||
\(133\) | −1.18246e9 | −0.327683 | ||||||||
\(134\) | −6.91398e8 | − | 1.19754e9i | −0.185249 | − | 0.320861i | ||||
\(135\) | 4.51153e9 | + | 7.81419e9i | 1.16902 | + | 2.02480i | ||||
\(136\) | −5.46125e7 | + | 9.45916e7i | −0.0136888 | + | 0.0237098i | ||||
\(137\) | 4.02802e9 | 0.976897 | 0.488449 | − | 0.872593i | \(-0.337563\pi\) | ||||
0.488449 | + | 0.872593i | \(0.337563\pi\) | |||||||
\(138\) | 8.59737e8 | − | 1.48911e9i | 0.201795 | − | 0.349519i | ||||
\(139\) | 2.87598e9 | + | 4.98134e9i | 0.653460 | + | 1.13183i | 0.982278 | + | 0.187432i | \(0.0600164\pi\) |
−0.328818 | + | 0.944393i | \(0.606650\pi\) | |||||||
\(140\) | −1.50581e9 | −0.331278 | ||||||||
\(141\) | −9.44279e7 | − | 1.63554e8i | −0.0201194 | − | 0.0348478i | ||||
\(142\) | −1.01368e9 | + | 1.75575e9i | −0.209221 | + | 0.362381i | ||||
\(143\) | −3.63340e9 | + | 6.29324e9i | −0.726610 | + | 1.25853i | ||||
\(144\) | −5.35891e9 | + | 9.28190e9i | −1.03859 | + | 1.79889i | ||||
\(145\) | 1.48870e9 | 0.279673 | ||||||||
\(146\) | −5.42946e8 | + | 9.40410e8i | −0.0988937 | + | 0.171289i | ||||
\(147\) | 4.31355e9 | − | 7.47128e9i | 0.761915 | − | 1.31968i | ||||
\(148\) | −8.70048e8 | − | 1.50697e9i | −0.149061 | − | 0.258182i | ||||
\(149\) | 2.38617e9 | + | 4.13297e9i | 0.396609 | + | 0.686947i | 0.993305 | − | 0.115520i | \(-0.0368534\pi\) |
−0.596696 | + | 0.802467i | \(0.703520\pi\) | |||||||
\(150\) | 9.87773e8 | 0.159311 | ||||||||
\(151\) | −7.89555e9 | −1.23591 | −0.617954 | − | 0.786214i | \(-0.712038\pi\) | ||||
−0.617954 | + | 0.786214i | \(0.712038\pi\) | |||||||
\(152\) | −1.18940e9 | − | 2.06010e9i | −0.180731 | − | 0.313035i | ||||
\(153\) | −4.89740e8 | − | 8.48254e8i | −0.0722527 | − | 0.125145i | ||||
\(154\) | −3.49088e8 | + | 6.04638e8i | −0.0500140 | + | 0.0866267i | ||||
\(155\) | −3.93822e9 | + | 6.82120e9i | −0.548034 | + | 0.949223i | ||||
\(156\) | −2.04316e10 | −2.76212 | ||||||||
\(157\) | 3.93319e9 | − | 6.81249e9i | 0.516651 | − | 0.894865i | −0.483162 | − | 0.875531i | \(-0.660512\pi\) |
0.999813 | − | 0.0193345i | \(-0.00615475\pi\) | |||||||
\(158\) | 6.50534e8 | − | 1.12676e9i | 0.0830450 | − | 0.143838i | ||||
\(159\) | 4.95583e9 | − | 8.58375e9i | 0.614936 | − | 1.06510i | ||||
\(160\) | −2.29591e9 | − | 3.97664e9i | −0.276959 | − | 0.479707i | ||||
\(161\) | −3.21697e9 | −0.377338 | ||||||||
\(162\) | 3.13171e9 | + | 5.42428e9i | 0.357243 | + | 0.618764i | ||||
\(163\) | 7.78518e9 | − | 1.34843e10i | 0.863822 | − | 1.49618i | −0.00438936 | − | 0.999990i | \(-0.501397\pi\) |
0.868212 | − | 0.496194i | \(-0.165269\pi\) | |||||||
\(164\) | 7.67477e9 | 0.828453 | ||||||||
\(165\) | 6.73755e9 | − | 1.16698e10i | 0.707659 | − | 1.22570i | ||||
\(166\) | 1.50194e9 | + | 2.60144e9i | 0.153521 | + | 0.265906i | ||||
\(167\) | 8.31204e9 | + | 1.43969e10i | 0.826958 | + | 1.43233i | 0.900414 | + | 0.435034i | \(0.143264\pi\) |
−0.0734561 | + | 0.997298i | \(0.523403\pi\) | |||||||
\(168\) | −4.05423e9 | −0.392660 | ||||||||
\(169\) | −7.68969e9 | − | 1.33189e10i | −0.725135 | − | 1.25597i | ||||
\(170\) | 1.24717e8 | 0.0114527 | ||||||||
\(171\) | 2.13320e10 | 1.90787 | ||||||||
\(172\) | −1.59761e9 | + | 1.06555e10i | −0.139186 | + | 0.928319i | ||||
\(173\) | −1.82170e10 | −1.54622 | −0.773109 | − | 0.634274i | \(-0.781299\pi\) | ||||
−0.773109 | + | 0.634274i | \(0.781299\pi\) | |||||||
\(174\) | 1.94072e9 | 0.160506 | ||||||||
\(175\) | −9.24014e8 | − | 1.60044e9i | −0.0744745 | − | 0.128994i | ||||
\(176\) | 9.68864e9 | 0.761124 | ||||||||
\(177\) | −1.11781e10 | − | 1.93611e10i | −0.856030 | − | 1.48269i | ||||
\(178\) | 1.52699e8 | + | 2.64482e8i | 0.0114010 | + | 0.0197472i | ||||
\(179\) | 6.60523e9 | − | 1.14406e10i | 0.480894 | − | 0.832933i | −0.518866 | − | 0.854856i | \(-0.673646\pi\) |
0.999760 | + | 0.0219230i | \(0.00697887\pi\) | |||||||
\(180\) | 2.71652e10 | 1.92880 | ||||||||
\(181\) | −6.28873e9 | + | 1.08924e10i | −0.435521 | + | 0.754345i | −0.997338 | − | 0.0729169i | \(-0.976769\pi\) |
0.561817 | + | 0.827262i | \(0.310103\pi\) | |||||||
\(182\) | −1.24823e9 | − | 2.16200e9i | −0.0843284 | − | 0.146061i | ||||
\(183\) | −3.16114e10 | −2.08360 | ||||||||
\(184\) | −3.23585e9 | − | 5.60466e9i | −0.208117 | − | 0.360470i | ||||
\(185\) | −2.05179e9 | + | 3.55380e9i | −0.128783 | + | 0.223059i | ||||
\(186\) | −5.13400e9 | + | 8.89234e9i | −0.314519 | + | 0.544763i | ||||
\(187\) | −4.42712e8 | + | 7.66800e8i | −0.0264749 | + | 0.0458559i | ||||
\(188\) | −3.44166e8 | −0.0200936 | ||||||||
\(189\) | 1.10035e10 | − | 1.90586e10i | 0.627266 | − | 1.08646i | ||||
\(190\) | −1.35810e9 | + | 2.35230e9i | −0.0756034 | + | 0.130949i | ||||
\(191\) | 6.21497e8 | + | 1.07646e9i | 0.0337900 | + | 0.0585260i | 0.882426 | − | 0.470451i | \(-0.155909\pi\) |
−0.848636 | + | 0.528978i | \(0.822576\pi\) | |||||||
\(192\) | 1.15170e10 | + | 1.99480e10i | 0.611622 | + | 1.05936i | ||||
\(193\) | 2.27748e10 | 1.18153 | 0.590766 | − | 0.806843i | \(-0.298825\pi\) | ||||
0.590766 | + | 0.806843i | \(0.298825\pi\) | |||||||
\(194\) | −3.20077e9 | −0.162236 | ||||||||
\(195\) | 2.40914e10 | + | 4.17275e10i | 1.19318 | + | 2.06665i | ||||
\(196\) | −7.86090e9 | − | 1.36155e10i | −0.380470 | − | 0.658993i | ||||
\(197\) | −1.25675e10 | + | 2.17676e10i | −0.594500 | + | 1.02970i | 0.399118 | + | 0.916900i | \(0.369316\pi\) |
−0.993617 | + | 0.112804i | \(0.964017\pi\) | |||||||
\(198\) | 6.29766e9 | − | 1.09079e10i | 0.291196 | − | 0.504367i | ||||
\(199\) | 1.44263e10 | 0.652103 | 0.326051 | − | 0.945352i | \(-0.394282\pi\) | ||||
0.326051 | + | 0.945352i | \(0.394282\pi\) | |||||||
\(200\) | 1.85887e9 | − | 3.21967e9i | 0.0821514 | − | 0.142290i | ||||
\(201\) | 3.25463e10 | − | 5.63719e10i | 1.40643 | − | 2.43602i | ||||
\(202\) | 5.64583e8 | − | 9.77886e8i | 0.0238587 | − | 0.0413244i | ||||
\(203\) | −1.81545e9 | − | 3.14445e9i | −0.0750329 | − | 0.129961i | ||||
\(204\) | −2.48949e9 | −0.100641 | ||||||||
\(205\) | −9.04950e9 | − | 1.56742e10i | −0.357876 | − | 0.619859i | ||||
\(206\) | −5.58034e9 | + | 9.66543e9i | −0.215903 | + | 0.373954i | ||||
\(207\) | 5.80353e10 | 2.19698 | ||||||||
\(208\) | −1.73218e10 | + | 3.00022e10i | −0.641664 | + | 1.11140i | ||||
\(209\) | −9.64180e9 | − | 1.67001e10i | −0.349542 | − | 0.605425i | ||||
\(210\) | 2.31464e9 | + | 4.00907e9i | 0.0821290 | + | 0.142252i | ||||
\(211\) | −3.64897e10 | −1.26736 | −0.633678 | − | 0.773597i | \(-0.718456\pi\) | ||||
−0.633678 | + | 0.773597i | \(0.718456\pi\) | |||||||
\(212\) | −9.03139e9 | − | 1.56428e10i | −0.307074 | − | 0.531868i | ||||
\(213\) | −9.54347e10 | −3.17686 | ||||||||
\(214\) | −1.38949e10 | −0.452890 | ||||||||
\(215\) | 2.36456e10 | − | 9.30138e9i | 0.754705 | − | 0.296875i | ||||
\(216\) | 4.42723e10 | 1.38385 | ||||||||
\(217\) | 1.92104e10 | 0.588123 | ||||||||
\(218\) | −5.45935e9 | − | 9.45586e9i | −0.163714 | − | 0.283561i | ||||
\(219\) | −5.11164e10 | −1.50163 | ||||||||
\(220\) | −1.22783e10 | − | 2.12667e10i | −0.353377 | − | 0.612066i | ||||
\(221\) | −1.58300e9 | − | 2.74184e9i | −0.0446392 | − | 0.0773174i | ||||
\(222\) | −2.67478e9 | + | 4.63285e9i | −0.0739093 | + | 0.128015i | ||||
\(223\) | −5.57604e9 | −0.150992 | −0.0754960 | − | 0.997146i | \(-0.524054\pi\) | ||||
−0.0754960 | + | 0.997146i | \(0.524054\pi\) | |||||||
\(224\) | −5.59966e9 | + | 9.69890e9i | −0.148609 | + | 0.257399i | ||||
\(225\) | 1.66695e10 | + | 2.88725e10i | 0.433613 | + | 0.751039i | ||||
\(226\) | −1.61985e10 | −0.413035 | ||||||||
\(227\) | 1.84578e10 | + | 3.19698e10i | 0.461385 | + | 0.799142i | 0.999030 | − | 0.0440291i | \(-0.0140194\pi\) |
−0.537645 | + | 0.843171i | \(0.680686\pi\) | |||||||
\(228\) | 2.71092e10 | − | 4.69546e10i | 0.664371 | − | 1.15072i | ||||
\(229\) | −1.08103e10 | + | 1.87239e10i | −0.259763 | + | 0.449922i | −0.966178 | − | 0.257875i | \(-0.916978\pi\) |
0.706415 | + | 0.707797i | \(0.250311\pi\) | |||||||
\(230\) | −3.69482e9 | + | 6.39961e9i | −0.0870598 | + | 0.150792i | ||||
\(231\) | −3.28654e10 | −0.759425 | ||||||||
\(232\) | 3.65221e9 | − | 6.32581e9i | 0.0827674 | − | 0.143357i | ||||
\(233\) | −1.17085e10 | + | 2.02797e10i | −0.260255 | + | 0.450775i | −0.966310 | − | 0.257382i | \(-0.917140\pi\) |
0.706054 | + | 0.708158i | \(0.250473\pi\) | |||||||
\(234\) | 2.25185e10 | + | 3.90032e10i | 0.490985 | + | 0.850411i | ||||
\(235\) | 4.05814e8 | + | 7.02891e8i | 0.00868005 | + | 0.0150343i | ||||
\(236\) | −4.07415e10 | −0.854935 | ||||||||
\(237\) | 6.12455e10 | 1.26098 | ||||||||
\(238\) | −1.52091e8 | − | 2.63429e8i | −0.00307260 | − | 0.00532191i | ||||
\(239\) | −2.91753e9 | − | 5.05331e9i | −0.0578396 | − | 0.100181i | 0.835656 | − | 0.549253i | \(-0.185088\pi\) |
−0.893495 | + | 0.449072i | \(0.851755\pi\) | |||||||
\(240\) | 3.21204e10 | − | 5.56342e10i | 0.624929 | − | 1.08241i | ||||
\(241\) | 1.15334e10 | − | 1.99765e10i | 0.220233 | − | 0.381454i | −0.734646 | − | 0.678451i | \(-0.762652\pi\) |
0.954879 | + | 0.296997i | \(0.0959850\pi\) | |||||||
\(242\) | 1.82456e9 | 0.0341971 | ||||||||
\(243\) | −6.90712e10 | + | 1.19635e11i | −1.27078 | + | 2.20105i | ||||
\(244\) | −2.88039e10 | + | 4.98899e10i | −0.520233 | + | 0.901069i | ||||
\(245\) | −1.85380e10 | + | 3.21087e10i | −0.328711 | + | 0.569344i | ||||
\(246\) | −1.17972e10 | − | 2.04334e10i | −0.205386 | − | 0.355740i | ||||
\(247\) | 6.89523e10 | 1.17872 | ||||||||
\(248\) | 1.93232e10 | + | 3.34687e10i | 0.324374 | + | 0.561832i | ||||
\(249\) | −7.07013e10 | + | 1.22458e11i | −1.16555 | + | 2.01879i | ||||
\(250\) | −1.66472e10 | −0.269532 | ||||||||
\(251\) | −4.25673e10 | + | 7.37288e10i | −0.676932 | + | 1.17248i | 0.298969 | + | 0.954263i | \(0.403357\pi\) |
−0.975900 | + | 0.218217i | \(0.929976\pi\) | |||||||
\(252\) | −3.31276e10 | − | 5.73787e10i | −0.517473 | − | 0.896290i | ||||
\(253\) | −2.62312e10 | − | 4.54338e10i | −0.402509 | − | 0.697167i | ||||
\(254\) | 2.09375e10 | 0.315627 | ||||||||
\(255\) | 2.93542e9 | + | 5.08430e9i | 0.0434750 | + | 0.0753009i | ||||
\(256\) | 3.03552e10 | 0.441727 | ||||||||
\(257\) | 1.02348e11 | 1.46346 | 0.731732 | − | 0.681592i | \(-0.238712\pi\) | ||||
0.731732 | + | 0.681592i | \(0.238712\pi\) | |||||||
\(258\) | 3.08252e10 | − | 1.21256e10i | 0.433129 | − | 0.170378i | ||||
\(259\) | 1.00085e10 | 0.138204 | ||||||||
\(260\) | 8.78072e10 | 1.19165 | ||||||||
\(261\) | 3.27513e10 | + | 5.67269e10i | 0.436864 | + | 0.756671i | ||||
\(262\) | 2.45883e10 | 0.322384 | ||||||||
\(263\) | −1.29162e10 | − | 2.23715e10i | −0.166469 | − | 0.288333i | 0.770707 | − | 0.637190i | \(-0.219903\pi\) |
−0.937176 | + | 0.348857i | \(0.886570\pi\) | |||||||
\(264\) | −3.30583e10 | − | 5.72586e10i | −0.418854 | − | 0.725476i | ||||
\(265\) | −2.12983e10 | + | 3.68897e10i | −0.265300 | + | 0.459513i | ||||
\(266\) | 6.62475e9 | 0.0811338 | ||||||||
\(267\) | −7.18801e9 | + | 1.24500e10i | −0.0865582 | + | 0.149923i | ||||
\(268\) | −5.93116e10 | − | 1.02731e11i | −0.702317 | − | 1.21645i | ||||
\(269\) | 5.79889e10 | 0.675242 | 0.337621 | − | 0.941282i | \(-0.390378\pi\) | ||||
0.337621 | + | 0.941282i | \(0.390378\pi\) | |||||||
\(270\) | −2.52759e10 | − | 4.37791e10i | −0.289447 | − | 0.501337i | ||||
\(271\) | 3.95623e10 | − | 6.85239e10i | 0.445574 | − | 0.771757i | −0.552518 | − | 0.833501i | \(-0.686333\pi\) |
0.998092 | + | 0.0617441i | \(0.0196663\pi\) | |||||||
\(272\) | −2.11058e9 | + | 3.65563e9i | −0.0233798 | + | 0.0404950i | ||||
\(273\) | 5.87583e10 | − | 1.01772e11i | 0.640231 | − | 1.10891i | ||||
\(274\) | −2.25670e10 | −0.241878 | ||||||||
\(275\) | 1.50688e10 | − | 2.61000e10i | 0.158885 | − | 0.275197i | ||||
\(276\) | 7.37527e10 | − | 1.27743e11i | 0.765045 | − | 1.32510i | ||||
\(277\) | −5.18097e10 | − | 8.97371e10i | −0.528753 | − | 0.915826i | −0.999438 | − | 0.0335251i | \(-0.989327\pi\) |
0.470685 | − | 0.882301i | \(-0.344007\pi\) | |||||||
\(278\) | −1.61127e10 | − | 2.79080e10i | −0.161795 | − | 0.280238i | ||||
\(279\) | −3.46563e11 | −3.42423 | ||||||||
\(280\) | 1.74235e10 | 0.169405 | ||||||||
\(281\) | 1.26726e10 | + | 2.19495e10i | 0.121251 | + | 0.210013i | 0.920261 | − | 0.391304i | \(-0.127976\pi\) |
−0.799010 | + | 0.601318i | \(0.794643\pi\) | |||||||
\(282\) | 5.29033e8 | + | 9.16312e8i | 0.00498152 | + | 0.00862824i | ||||
\(283\) | −7.42941e9 | + | 1.28681e10i | −0.0688518 | + | 0.119255i | −0.898396 | − | 0.439186i | \(-0.855267\pi\) |
0.829544 | + | 0.558441i | \(0.188600\pi\) | |||||||
\(284\) | −8.69589e10 | + | 1.50617e11i | −0.793198 | + | 1.37386i | ||||
\(285\) | −1.27861e11 | −1.14798 | ||||||||
\(286\) | 2.03562e10 | − | 3.52579e10i | 0.179907 | − | 0.311609i | ||||
\(287\) | −2.20715e10 | + | 3.82289e10i | −0.192027 | + | 0.332601i | ||||
\(288\) | 1.01020e11 | − | 1.74972e11i | 0.865248 | − | 1.49865i | ||||
\(289\) | 5.91011e10 | + | 1.02366e11i | 0.498374 | + | 0.863208i | ||||
\(290\) | −8.34046e9 | −0.0692467 | ||||||||
\(291\) | −7.53352e10 | − | 1.30484e11i | −0.615857 | − | 1.06670i | ||||
\(292\) | −4.65767e10 | + | 8.06732e10i | −0.374926 | + | 0.649391i | ||||
\(293\) | 1.31985e11 | 1.04621 | 0.523107 | − | 0.852267i | \(-0.324773\pi\) | ||||
0.523107 | + | 0.852267i | \(0.324773\pi\) | |||||||
\(294\) | −2.41667e10 | + | 4.18579e10i | −0.188649 | + | 0.326749i | ||||
\(295\) | 4.80392e10 | + | 8.32064e10i | 0.369315 | + | 0.639673i | ||||
\(296\) | 1.00672e10 | + | 1.74370e10i | 0.0762251 | + | 0.132026i | ||||
\(297\) | 3.58890e11 | 2.67644 | ||||||||
\(298\) | −1.33685e10 | − | 2.31550e10i | −0.0981998 | − | 0.170087i | ||||
\(299\) | 1.87590e11 | 1.35734 | ||||||||
\(300\) | 8.47362e10 | 0.603981 | ||||||||
\(301\) | −4.84819e10 | − | 3.86016e10i | −0.340432 | − | 0.271054i | ||||
\(302\) | 4.42349e10 | 0.306009 | ||||||||
\(303\) | 5.31535e10 | 0.362276 | ||||||||
\(304\) | −4.59661e10 | − | 7.96156e10i | −0.308678 | − | 0.534647i | ||||
\(305\) | 1.35854e11 | 0.898922 | ||||||||
\(306\) | 2.74377e9 | + | 4.75235e9i | 0.0178896 | + | 0.0309858i | ||||
\(307\) | −4.97701e10 | − | 8.62044e10i | −0.319776 | − | 0.553868i | 0.660665 | − | 0.750681i | \(-0.270274\pi\) |
−0.980441 | + | 0.196812i | \(0.936941\pi\) | |||||||
\(308\) | −2.99465e10 | + | 5.18689e10i | −0.189613 | + | 0.328420i | ||||
\(309\) | −5.25369e11 | −3.27832 | ||||||||
\(310\) | 2.20639e10 | − | 3.82158e10i | 0.135692 | − | 0.235026i | ||||
\(311\) | 1.21878e11 | + | 2.11100e11i | 0.738763 | + | 1.27957i | 0.953053 | + | 0.302804i | \(0.0979229\pi\) |
−0.214290 | + | 0.976770i | \(0.568744\pi\) | |||||||
\(312\) | 2.36412e11 | 1.41246 | ||||||||
\(313\) | 9.40797e10 | + | 1.62951e11i | 0.554047 | + | 0.959637i | 0.997977 | + | 0.0635755i | \(0.0202504\pi\) |
−0.443931 | + | 0.896061i | \(0.646416\pi\) | |||||||
\(314\) | −2.20358e10 | + | 3.81671e10i | −0.127922 | + | 0.221567i | ||||
\(315\) | −7.81231e10 | + | 1.35313e11i | −0.447077 | + | 0.774360i | ||||
\(316\) | 5.58062e10 | − | 9.66591e10i | 0.314840 | − | 0.545320i | ||||
\(317\) | 4.86852e10 | 0.270789 | 0.135394 | − | 0.990792i | \(-0.456770\pi\) | ||||
0.135394 | + | 0.990792i | \(0.456770\pi\) | |||||||
\(318\) | −2.77651e10 | + | 4.80906e10i | −0.152257 | + | 0.263717i | ||||
\(319\) | 2.96064e10 | − | 5.12797e10i | 0.160076 | − | 0.277260i | ||||
\(320\) | −4.94955e10 | − | 8.57287e10i | −0.263870 | − | 0.457037i | ||||
\(321\) | −3.27038e11 | − | 5.66447e11i | −1.71920 | − | 2.97774i | ||||
\(322\) | 1.80231e10 | 0.0934282 | ||||||||
\(323\) | 8.40149e9 | 0.0429482 | ||||||||
\(324\) | 2.68654e11 | + | 4.65323e11i | 1.35438 | + | 2.34586i | ||||
\(325\) | 5.38816e10 | + | 9.33256e10i | 0.267895 | + | 0.464008i | ||||
\(326\) | −4.36165e10 | + | 7.55461e10i | −0.213881 | + | 0.370453i | ||||
\(327\) | 2.56989e11 | − | 4.45118e11i | 1.24294 | − | 2.15283i | ||||
\(328\) | −8.88040e10 | −0.423643 | ||||||||
\(329\) | 9.89770e8 | − | 1.71433e9i | 0.00465750 | − | 0.00806702i | ||||
\(330\) | −3.77472e10 | + | 6.53800e10i | −0.175215 | + | 0.303482i | ||||
\(331\) | 1.17770e11 | − | 2.03984e11i | 0.539274 | − | 0.934049i | −0.459670 | − | 0.888090i | \(-0.652032\pi\) |
0.998943 | − | 0.0459594i | \(-0.0146345\pi\) | |||||||
\(332\) | 1.28844e11 | + | 2.23165e11i | 0.582029 | + | 1.00810i | ||||
\(333\) | −1.80557e11 | −0.804664 | ||||||||
\(334\) | −4.65683e10 | − | 8.06586e10i | −0.204753 | − | 0.354643i | ||||
\(335\) | −1.39871e11 | + | 2.42265e11i | −0.606775 | + | 1.05096i | ||||
\(336\) | −1.56682e11 | −0.670643 | ||||||||
\(337\) | −3.31707e10 | + | 5.74533e10i | −0.140094 | + | 0.242650i | −0.927532 | − | 0.373744i | \(-0.878074\pi\) |
0.787438 | + | 0.616394i | \(0.211407\pi\) | |||||||
\(338\) | 4.30815e10 | + | 7.46194e10i | 0.179542 | + | 0.310976i | ||||
\(339\) | −3.81258e11 | − | 6.60358e11i | −1.56791 | − | 2.71569i | ||||
\(340\) | 1.06989e10 | 0.0434193 | ||||||||
\(341\) | 1.56642e11 | + | 2.71312e11i | 0.627355 | + | 1.08661i | ||||
\(342\) | −1.19513e11 | −0.472386 | ||||||||
\(343\) | 2.01978e11 | 0.787917 | ||||||||
\(344\) | 1.84859e10 | − | 1.23294e11i | 0.0711748 | − | 0.474711i | ||||
\(345\) | −3.47854e11 | −1.32194 | ||||||||
\(346\) | 1.02061e11 | 0.382841 | ||||||||
\(347\) | −1.11333e11 | − | 1.92835e11i | −0.412232 | − | 0.714007i | 0.582901 | − | 0.812543i | \(-0.301917\pi\) |
−0.995134 | + | 0.0985359i | \(0.968584\pi\) | |||||||
\(348\) | 1.66485e11 | 0.608510 | ||||||||
\(349\) | −2.23939e10 | − | 3.87873e10i | −0.0808006 | − | 0.139951i | 0.822793 | − | 0.568341i | \(-0.192414\pi\) |
−0.903594 | + | 0.428390i | \(0.859081\pi\) | |||||||
\(350\) | 5.17680e9 | + | 8.96648e9i | 0.0184397 | + | 0.0319386i | ||||
\(351\) | −6.41640e11 | + | 1.11135e12i | −2.25637 | + | 3.90814i | ||||
\(352\) | −1.82639e11 | −0.634090 | ||||||||
\(353\) | −5.29826e10 | + | 9.17686e10i | −0.181613 | + | 0.314563i | −0.942430 | − | 0.334403i | \(-0.891465\pi\) |
0.760817 | + | 0.648967i | \(0.224799\pi\) | |||||||
\(354\) | 6.26255e10 | + | 1.08471e11i | 0.211952 | + | 0.367111i | ||||
\(355\) | 4.10141e11 | 1.37058 | ||||||||
\(356\) | 1.30993e10 | + | 2.26886e10i | 0.0432237 | + | 0.0748656i | ||||
\(357\) | 7.15941e9 | − | 1.24005e10i | 0.0233276 | − | 0.0404046i | ||||
\(358\) | −3.70059e10 | + | 6.40960e10i | −0.119068 | + | 0.206233i | ||||
\(359\) | −7.26378e10 | + | 1.25812e11i | −0.230801 | + | 0.399759i | −0.958044 | − | 0.286621i | \(-0.907468\pi\) |
0.727243 | + | 0.686380i | \(0.240801\pi\) | |||||||
\(360\) | −3.14327e11 | −0.986324 | ||||||||
\(361\) | 6.98561e10 | − | 1.20994e11i | 0.216482 | − | 0.374958i | ||||
\(362\) | 3.52326e10 | − | 6.10247e10i | 0.107834 | − | 0.186774i | ||||
\(363\) | 4.29440e10 | + | 7.43812e10i | 0.129814 | + | 0.224845i | ||||
\(364\) | −1.07080e11 | − | 1.85467e11i | −0.319706 | − | 0.553747i | ||||
\(365\) | 2.19679e11 | 0.647843 | ||||||||
\(366\) | 1.77103e11 | 0.515895 | ||||||||
\(367\) | 6.32435e10 | + | 1.09541e11i | 0.181978 | + | 0.315195i | 0.942554 | − | 0.334054i | \(-0.108417\pi\) |
−0.760576 | + | 0.649249i | \(0.775083\pi\) | |||||||
\(368\) | −1.25054e11 | − | 2.16600e11i | −0.355453 | − | 0.615663i | ||||
\(369\) | 3.98177e11 | − | 6.89663e11i | 1.11804 | − | 1.93650i | ||||
\(370\) | 1.14952e10 | − | 1.99102e10i | 0.0318865 | − | 0.0552291i | ||||
\(371\) | 1.03892e11 | 0.284707 | ||||||||
\(372\) | −4.40421e11 | + | 7.62831e11i | −1.19241 | + | 2.06531i | ||||
\(373\) | −1.45299e11 | + | 2.51665e11i | −0.388662 | + | 0.673183i | −0.992270 | − | 0.124099i | \(-0.960396\pi\) |
0.603607 | + | 0.797282i | \(0.293729\pi\) | |||||||
\(374\) | 2.48030e9 | − | 4.29601e9i | 0.00655514 | − | 0.0113538i | ||||
\(375\) | −3.91819e11 | − | 6.78650e11i | −1.02316 | − | 1.77217i | ||||
\(376\) | 3.98232e9 | 0.0102752 | ||||||||
\(377\) | 1.05863e11 | + | 1.83361e11i | 0.269904 | + | 0.467488i | ||||
\(378\) | −6.16471e10 | + | 1.06776e11i | −0.155310 | + | 0.269005i | ||||
\(379\) | 1.68125e11 | 0.418559 | 0.209280 | − | 0.977856i | \(-0.432888\pi\) | ||||
0.209280 | + | 0.977856i | \(0.432888\pi\) | |||||||
\(380\) | −1.16505e11 | + | 2.01793e11i | −0.286628 | + | 0.496454i | ||||
\(381\) | 4.92798e11 | + | 8.53552e11i | 1.19814 | + | 2.07524i | ||||
\(382\) | −3.48194e9 | − | 6.03090e9i | −0.00836635 | − | 0.0144909i | ||||
\(383\) | −2.96438e11 | −0.703946 | −0.351973 | − | 0.936010i | \(-0.614489\pi\) | ||||
−0.351973 | + | 0.936010i | \(0.614489\pi\) | |||||||
\(384\) | −3.38050e11 | − | 5.85519e11i | −0.793396 | − | 1.37420i | ||||
\(385\) | 1.41243e11 | 0.327637 | ||||||||
\(386\) | −1.27596e11 | −0.292545 | ||||||||
\(387\) | 8.74631e11 | + | 6.96386e11i | 1.98210 | + | 1.57816i | ||||
\(388\) | −2.74578e11 | −0.615068 | ||||||||
\(389\) | 6.53137e11 | 1.44621 | 0.723105 | − | 0.690738i | \(-0.242714\pi\) | ||||
0.723105 | + | 0.690738i | \(0.242714\pi\) | |||||||
\(390\) | −1.34972e11 | − | 2.33779e11i | −0.295430 | − | 0.511699i | ||||
\(391\) | 2.28569e10 | 0.0494563 | ||||||||
\(392\) | 9.09578e10 | + | 1.57544e11i | 0.194560 | + | 0.336987i | ||||
\(393\) | 5.78726e11 | + | 1.00238e12i | 1.22379 | + | 2.11967i | ||||
\(394\) | 7.04096e10 | − | 1.21953e11i | 0.147197 | − | 0.254953i | ||||
\(395\) | −2.63210e11 | −0.544020 | ||||||||
\(396\) | 5.40246e11 | − | 9.35733e11i | 1.10398 | − | 1.91216i | ||||
\(397\) | −2.92794e11 | − | 5.07133e11i | −0.591567 | − | 1.02462i | −0.994021 | − | 0.109185i | \(-0.965176\pi\) |
0.402454 | − | 0.915440i | \(-0.368157\pi\) | |||||||
\(398\) | −8.08234e10 | −0.161459 | ||||||||
\(399\) | 1.55924e11 | + | 2.70069e11i | 0.307989 | + | 0.533453i | ||||
\(400\) | 7.18388e10 | − | 1.24428e11i | 0.140310 | − | 0.243024i | ||||
\(401\) | −2.10441e11 | + | 3.64494e11i | −0.406425 | + | 0.703949i | −0.994486 | − | 0.104868i | \(-0.966558\pi\) |
0.588061 | + | 0.808817i | \(0.299891\pi\) | |||||||
\(402\) | −1.82341e11 | + | 3.15824e11i | −0.348231 | + | 0.603153i | ||||
\(403\) | −1.12021e12 | −2.11556 | ||||||||
\(404\) | 4.84328e10 | − | 8.38881e10i | 0.0904531 | − | 0.156669i | ||||
\(405\) | 6.33553e11 | − | 1.09735e12i | 1.17013 | − | 2.02673i | ||||
\(406\) | 1.01711e10 | + | 1.76168e10i | 0.0185780 | + | 0.0321781i | ||||
\(407\) | 8.16094e10 | + | 1.41352e11i | 0.147423 | + | 0.255344i | ||||
\(408\) | 2.88057e10 | 0.0514645 | ||||||||
\(409\) | −5.91657e11 | −1.04548 | −0.522739 | − | 0.852493i | \(-0.675090\pi\) | ||||
−0.522739 | + | 0.852493i | \(0.675090\pi\) | |||||||
\(410\) | 5.06999e10 | + | 8.78148e10i | 0.0886094 | + | 0.153476i | ||||
\(411\) | −5.31151e11 | − | 9.19980e11i | −0.918184 | − | 1.59034i | ||||
\(412\) | −4.78710e11 | + | 8.29150e11i | −0.818531 | + | 1.41774i | ||||
\(413\) | 1.17166e11 | − | 2.02938e11i | 0.198165 | − | 0.343232i | ||||
\(414\) | −3.25143e11 | −0.543967 | ||||||||
\(415\) | 3.03847e11 | − | 5.26279e11i | 0.502850 | − | 0.870962i | ||||
\(416\) | 3.26530e11 | − | 5.65567e11i | 0.534569 | − | 0.925900i | ||||
\(417\) | 7.58476e11 | − | 1.31372e12i | 1.22837 | − | 2.12760i | ||||
\(418\) | 5.40183e10 | + | 9.35624e10i | 0.0865461 | + | 0.149902i | ||||
\(419\) | −3.57177e11 | −0.566135 | −0.283067 | − | 0.959100i | \(-0.591352\pi\) | ||||
−0.283067 | + | 0.959100i | \(0.591352\pi\) | |||||||
\(420\) | 1.98562e11 | + | 3.43919e11i | 0.311368 | + | 0.539304i | ||||
\(421\) | 1.15009e10 | − | 1.99201e10i | 0.0178428 | − | 0.0309046i | −0.856966 | − | 0.515373i | \(-0.827654\pi\) |
0.874809 | + | 0.484468i | \(0.160987\pi\) | |||||||
\(422\) | 2.04434e11 | 0.313795 | ||||||||
\(423\) | −1.78558e10 | + | 3.09271e10i | −0.0271174 | + | 0.0469686i | ||||
\(424\) | 1.04501e11 | + | 1.81002e11i | 0.157028 | + | 0.271980i | ||||
\(425\) | 6.56520e9 | + | 1.13713e10i | 0.00976108 | + | 0.0169067i | ||||
\(426\) | 5.34674e11 | 0.786585 | ||||||||
\(427\) | −1.65671e11 | − | 2.86951e11i | −0.241169 | − | 0.417718i | ||||
\(428\) | −1.19197e12 | −1.71700 | ||||||||
\(429\) | 1.91646e12 | 2.73176 | ||||||||
\(430\) | −1.32475e11 | + | 5.21110e10i | −0.186864 | + | 0.0735058i | ||||
\(431\) | −9.81989e10 | −0.137075 | −0.0685376 | − | 0.997649i | \(-0.521833\pi\) | ||||
−0.0685376 | + | 0.997649i | \(0.521833\pi\) | |||||||
\(432\) | 1.71096e12 | 2.36354 | ||||||||
\(433\) | −2.26562e11 | − | 3.92418e11i | −0.309737 | − | 0.536479i | 0.668568 | − | 0.743651i | \(-0.266908\pi\) |
−0.978305 | + | 0.207172i | \(0.933574\pi\) | |||||||
\(434\) | −1.07627e11 | −0.145618 | ||||||||
\(435\) | −1.96306e11 | − | 3.40012e11i | −0.262865 | − | 0.455295i | ||||
\(436\) | −4.68331e11 | − | 8.11173e11i | −0.620674 | − | 1.07504i | ||||
\(437\) | −2.48899e11 | + | 4.31106e11i | −0.326480 | + | 0.565480i | ||||
\(438\) | 2.86380e11 | 0.371800 | ||||||||
\(439\) | 6.79011e10 | − | 1.17608e11i | 0.0872542 | − | 0.151129i | −0.819095 | − | 0.573657i | \(-0.805524\pi\) |
0.906350 | + | 0.422529i | \(0.138857\pi\) | |||||||
\(440\) | 1.42072e11 | + | 2.46075e11i | 0.180705 | + | 0.312990i | ||||
\(441\) | −1.63134e12 | −2.05385 | ||||||||
\(442\) | 8.86879e9 | + | 1.53612e10i | 0.0110526 | + | 0.0191437i | ||||
\(443\) | 7.42144e11 | − | 1.28543e12i | 0.915528 | − | 1.58574i | 0.109402 | − | 0.993998i | \(-0.465107\pi\) |
0.806126 | − | 0.591743i | \(-0.201560\pi\) | |||||||
\(444\) | −2.29456e11 | + | 3.97430e11i | −0.280205 | + | 0.485330i | ||||
\(445\) | 3.08913e10 | − | 5.35053e10i | 0.0373436 | − | 0.0646810i | ||||
\(446\) | 3.12398e10 | 0.0373853 | ||||||||
\(447\) | 6.29300e11 | − | 1.08998e12i | 0.745545 | − | 1.29132i | ||||
\(448\) | −1.20718e11 | + | 2.09090e11i | −0.141586 | + | 0.245235i | ||||
\(449\) | −4.71563e11 | − | 8.16771e11i | −0.547559 | − | 0.948400i | −0.998441 | − | 0.0558166i | \(-0.982224\pi\) |
0.450882 | − | 0.892584i | \(-0.351110\pi\) | |||||||
\(450\) | −9.33912e10 | − | 1.61758e11i | −0.107362 | − | 0.185956i | ||||
\(451\) | −7.19884e11 | −0.819347 | ||||||||
\(452\) | −1.38959e12 | −1.56590 | ||||||||
\(453\) | 1.04114e12 | + | 1.80331e12i | 1.16163 | + | 2.01200i | ||||
\(454\) | −1.03410e11 | − | 1.79111e11i | −0.114238 | − | 0.197866i | ||||
\(455\) | −2.52520e11 | + | 4.37378e11i | −0.276214 | + | 0.478416i | ||||
\(456\) | −3.13679e11 | + | 5.43307e11i | −0.339737 | + | 0.588442i | ||||
\(457\) | 3.80128e11 | 0.407668 | 0.203834 | − | 0.979005i | \(-0.434660\pi\) | ||||
0.203834 | + | 0.979005i | \(0.434660\pi\) | |||||||
\(458\) | 6.05646e10 | − | 1.04901e11i | 0.0643168 | − | 0.111400i | ||||
\(459\) | −7.81807e10 | + | 1.35413e11i | −0.0822134 | + | 0.142398i | ||||
\(460\) | −3.16960e11 | + | 5.48992e11i | −0.330061 | + | 0.571683i | ||||
\(461\) | −4.37742e10 | − | 7.58191e10i | −0.0451402 | − | 0.0781852i | 0.842573 | − | 0.538583i | \(-0.181040\pi\) |
−0.887713 | + | 0.460398i | \(0.847707\pi\) | |||||||
\(462\) | 1.84129e11 | 0.188032 | ||||||||
\(463\) | 7.96298e11 | + | 1.37923e12i | 0.805307 | + | 1.39483i | 0.916084 | + | 0.400987i | \(0.131333\pi\) |
−0.110777 | + | 0.993845i | \(0.535334\pi\) | |||||||
\(464\) | 1.41145e11 | − | 2.44470e11i | 0.141362 | − | 0.244847i | ||||
\(465\) | 2.07724e12 | 2.06039 | ||||||||
\(466\) | 6.55970e10 | − | 1.13617e11i | 0.0644387 | − | 0.111611i | ||||
\(467\) | 6.67330e11 | + | 1.15585e12i | 0.649254 | + | 1.12454i | 0.983301 | + | 0.181985i | \(0.0582522\pi\) |
−0.334047 | + | 0.942556i | \(0.608414\pi\) | |||||||
\(468\) | 1.93175e12 | + | 3.34590e12i | 1.86142 | + | 3.22408i | ||||
\(469\) | 6.82285e11 | 0.651160 | ||||||||
\(470\) | −2.27358e9 | − | 3.93795e9i | −0.00214916 | − | 0.00372246i | ||||
\(471\) | −2.07459e12 | −1.94240 | ||||||||
\(472\) | 4.71416e11 | 0.437185 | ||||||||
\(473\) | 1.49854e11 | − | 9.99476e11i | 0.137656 | − | 0.918115i | ||||
\(474\) | −3.43128e11 | −0.312215 | ||||||||
\(475\) | −2.85966e11 | −0.257747 | ||||||||
\(476\) | −1.30471e10 | − | 2.25983e10i | −0.0116489 | − | 0.0201764i | ||||
\(477\) | −1.87424e12 | −1.65765 | ||||||||
\(478\) | 1.63455e10 | + | 2.83112e10i | 0.0143210 | + | 0.0248047i | ||||
\(479\) | 3.56310e11 | + | 6.17147e11i | 0.309256 | + | 0.535647i | 0.978200 | − | 0.207666i | \(-0.0665867\pi\) |
−0.668944 | + | 0.743313i | \(0.733253\pi\) | |||||||
\(480\) | −6.05497e11 | + | 1.04875e12i | −0.520626 | + | 0.901751i | ||||
\(481\) | −5.83620e11 | −0.497139 | ||||||||
\(482\) | −6.46161e10 | + | 1.11918e11i | −0.0545292 | + | 0.0944474i | ||||
\(483\) | 4.24203e11 | + | 7.34741e11i | 0.354659 | + | 0.614288i | ||||
\(484\) | 1.56520e11 | 0.129648 | ||||||||
\(485\) | 3.23762e11 | + | 5.60772e11i | 0.265698 | + | 0.460202i | ||||
\(486\) | 3.86972e11 | − | 6.70255e11i | 0.314642 | − | 0.544975i | ||||
\(487\) | −4.85186e11 | + | 8.40367e11i | −0.390866 | + | 0.677000i | −0.992564 | − | 0.121724i | \(-0.961158\pi\) |
0.601698 | + | 0.798724i | \(0.294491\pi\) | |||||||
\(488\) | 3.33288e11 | − | 5.77271e11i | 0.266030 | − | 0.460777i | ||||
\(489\) | −4.10634e12 | −3.24762 | ||||||||
\(490\) | 1.03859e11 | − | 1.79889e11i | 0.0813883 | − | 0.140969i | ||||
\(491\) | 2.40491e11 | − | 4.16543e11i | 0.186738 | − | 0.323440i | −0.757423 | − | 0.652925i | \(-0.773542\pi\) |
0.944161 | + | 0.329485i | \(0.106875\pi\) | |||||||
\(492\) | −1.01203e12 | − | 1.75288e12i | −0.778662 | − | 1.34868i | ||||
\(493\) | 1.28989e10 | + | 2.23416e10i | 0.00983428 | + | 0.0170335i | ||||
\(494\) | −3.86306e11 | −0.291850 | ||||||||
\(495\) | −2.54807e12 | −1.90760 | ||||||||
\(496\) | 7.46771e11 | + | 1.29345e12i | 0.554013 | + | 0.959579i | ||||
\(497\) | −5.00161e11 | − | 8.66305e11i | −0.367711 | − | 0.636894i | ||||
\(498\) | 3.96105e11 | − | 6.86074e11i | 0.288588 | − | 0.499849i | ||||
\(499\) | 2.13237e11 | − | 3.69337e11i | 0.153961 | − | 0.266668i | −0.778719 | − | 0.627372i | \(-0.784130\pi\) |
0.932680 | + | 0.360704i | \(0.117464\pi\) | |||||||
\(500\) | −1.42808e12 | −1.02185 | ||||||||
\(501\) | 2.19212e12 | − | 3.79686e12i | 1.55451 | − | 2.69249i | ||||
\(502\) | 2.38484e11 | − | 4.13066e11i | 0.167607 | − | 0.290304i | ||||
\(503\) | −4.32986e11 | + | 7.49953e11i | −0.301590 | + | 0.522370i | −0.976496 | − | 0.215534i | \(-0.930851\pi\) |
0.674906 | + | 0.737904i | \(0.264184\pi\) | |||||||
\(504\) | 3.83317e11 | + | 6.63924e11i | 0.264619 | + | 0.458333i | ||||
\(505\) | −2.28433e11 | −0.156296 | ||||||||
\(506\) | 1.46961e11 | + | 2.54543e11i | 0.0996606 | + | 0.172617i | ||||
\(507\) | −2.02799e12 | + | 3.51258e12i | −1.36311 | + | 2.36097i | ||||
\(508\) | 1.79613e12 | 1.19660 | ||||||||
\(509\) | 5.88963e11 | − | 1.02011e12i | 0.388918 | − | 0.673626i | −0.603386 | − | 0.797449i | \(-0.706182\pi\) |
0.992304 | + | 0.123823i | \(0.0395156\pi\) | |||||||
\(510\) | −1.64457e10 | − | 2.84848e10i | −0.0107643 | − | 0.0186444i | ||||
\(511\) | −2.67895e11 | − | 4.64007e11i | −0.173808 | − | 0.301045i | ||||
\(512\) | −1.48264e12 | −0.953500 | ||||||||
\(513\) | −1.70269e12 | − | 2.94915e12i | −1.08545 | − | 1.88005i | ||||
\(514\) | −5.73408e11 | −0.362351 | ||||||||
\(515\) | 2.25783e12 | 1.41436 | ||||||||
\(516\) | 2.64434e12 | − | 1.04019e12i | 1.64208 | − | 0.645938i | ||||
\(517\) | 3.22824e10 | 0.0198727 | ||||||||
\(518\) | −5.60727e10 | −0.0342190 | ||||||||
\(519\) | 2.40217e12 | + | 4.16069e12i | 1.45329 | + | 2.51717i | ||||
\(520\) | −1.01601e12 | −0.609372 | ||||||||
\(521\) | −2.58752e10 | − | 4.48172e10i | −0.0153856 | − | 0.0266486i | 0.858230 | − | 0.513265i | \(-0.171564\pi\) |
−0.873616 | + | 0.486617i | \(0.838231\pi\) | |||||||
\(522\) | −1.83490e11 | − | 3.17813e11i | −0.108167 | − | 0.187350i | ||||
\(523\) | 8.45797e11 | − | 1.46496e12i | 0.494320 | − | 0.856188i | −0.505658 | − | 0.862734i | \(-0.668750\pi\) |
0.999979 | + | 0.00654619i | \(0.00208373\pi\) | |||||||
\(524\) | 2.10931e12 | 1.22222 | ||||||||
\(525\) | −2.43689e11 | + | 4.22081e11i | −0.139997 | + | 0.242482i | ||||
\(526\) | 7.23631e10 | + | 1.25337e11i | 0.0412174 | + | 0.0713907i | ||||
\(527\) | −1.36492e11 | −0.0770830 | ||||||||
\(528\) | −1.27758e12 | − | 2.21284e12i | −0.715379 | − | 1.23907i | ||||
\(529\) | 2.23429e11 | − | 3.86990e11i | 0.124048 | − | 0.214857i | ||||
\(530\) | 1.19324e11 | − | 2.06675e11i | 0.0656879 | − | 0.113775i | ||||
\(531\) | −2.11372e12 | + | 3.66107e12i | −1.15378 | + | 1.99840i | ||||
\(532\) | 5.68305e11 | 0.307595 | ||||||||
\(533\) | 1.28704e12 | − | 2.22922e12i | 0.690749 | − | 1.19641i | ||||
\(534\) | 4.02709e10 | − | 6.97512e10i | 0.0214316 | − | 0.0371207i | ||||
\(535\) | 1.40548e12 | + | 2.43437e12i | 0.741710 | + | 1.28468i | ||||
\(536\) | 6.86289e11 | + | 1.18869e12i | 0.359142 | + | 0.622052i | ||||
\(537\) | −3.48397e12 | −1.80797 | ||||||||
\(538\) | −3.24883e11 | −0.167189 | ||||||||
\(539\) | 7.37343e11 | + | 1.27712e12i | 0.376288 | + | 0.651750i | ||||
\(540\) | −2.16829e12 | − | 3.75559e12i | −1.09735 | − | 1.90067i | ||||
\(541\) | 8.63831e11 | − | 1.49620e12i | 0.433552 | − | 0.750934i | −0.563624 | − | 0.826031i | \(-0.690593\pi\) |
0.997176 | + | 0.0750974i | \(0.0239268\pi\) | |||||||
\(542\) | −2.21648e11 | + | 3.83906e11i | −0.110323 | + | 0.191086i | ||||
\(543\) | 3.31703e12 | 1.63738 | ||||||||
\(544\) | 3.97861e10 | − | 6.89116e10i | 0.0194776 | − | 0.0337363i | ||||
\(545\) | −1.10444e12 | + | 1.91295e12i | −0.536238 | + | 0.928792i | ||||
\(546\) | −3.29194e11 | + | 5.70180e11i | −0.158520 | + | 0.274565i | ||||
\(547\) | −1.08433e12 | − | 1.87811e12i | −0.517866 | − | 0.896970i | −0.999785 | − | 0.0207542i | \(-0.993393\pi\) |
0.481919 | − | 0.876216i | \(-0.339940\pi\) | |||||||
\(548\) | −1.93591e12 | −0.917009 | ||||||||
\(549\) | 2.98877e12 | + | 5.17670e12i | 1.40416 | + | 2.43208i | ||||
\(550\) | −8.44233e10 | + | 1.46225e11i | −0.0393396 | + | 0.0681382i | ||||
\(551\) | −5.61849e11 | −0.259680 | ||||||||
\(552\) | −8.53385e11 | + | 1.47811e12i | −0.391218 | + | 0.677610i | ||||
\(553\) | 3.20980e11 | + | 5.55954e11i | 0.145954 | + | 0.252799i | ||||
\(554\) | 2.90264e11 | + | 5.02753e11i | 0.130918 | + | 0.226757i | ||||
\(555\) | 1.08223e12 | 0.484173 | ||||||||
\(556\) | −1.38223e12 | − | 2.39409e12i | −0.613399 | − | 1.06244i | ||||
\(557\) | −7.34724e11 | −0.323426 | −0.161713 | − | 0.986838i | \(-0.551702\pi\) | ||||
−0.161713 | + | 0.986838i | \(0.551702\pi\) | |||||||
\(558\) | 1.94162e12 | 0.847833 | ||||||||
\(559\) | 2.82710e12 | + | 2.25095e12i | 1.22458 | + | 0.975020i | ||||
\(560\) | 6.73357e11 | 0.289334 | ||||||||
\(561\) | 2.33511e11 | 0.0995349 | ||||||||
\(562\) | −7.09982e10 | − | 1.22972e11i | −0.0300216 | − | 0.0519989i | ||||
\(563\) | 4.56048e11 | 0.191304 | 0.0956518 | − | 0.995415i | \(-0.469506\pi\) | ||||
0.0956518 | + | 0.995415i | \(0.469506\pi\) | |||||||
\(564\) | 4.53832e10 | + | 7.86059e10i | 0.0188859 | + | 0.0327114i | ||||
\(565\) | 1.63850e12 | + | 2.83796e12i | 0.676438 | + | 1.17163i | ||||
\(566\) | 4.16233e10 | − | 7.20937e10i | 0.0170476 | − | 0.0295273i | ||||
\(567\) | −3.09043e12 | −1.25573 | ||||||||
\(568\) | 1.00619e12 | − | 1.74278e12i | 0.405615 | − | 0.702546i | ||||
\(569\) | −1.30127e12 | − | 2.25386e12i | −0.520429 | − | 0.901409i | −0.999718 | − | 0.0237519i | \(-0.992439\pi\) |
0.479289 | − | 0.877657i | \(-0.340895\pi\) | |||||||
\(570\) | 7.16340e11 | 0.284238 | ||||||||
\(571\) | 2.13318e11 | + | 3.69478e11i | 0.0839780 | + | 0.145454i | 0.904955 | − | 0.425507i | \(-0.139904\pi\) |
−0.820977 | + | 0.570961i | \(0.806571\pi\) | |||||||
\(572\) | 1.74626e12 | − | 3.02461e12i | 0.682065 | − | 1.18137i | ||||
\(573\) | 1.63906e11 | − | 2.83894e11i | 0.0635184 | − | 0.110017i | ||||
\(574\) | 1.23656e11 | − | 2.14178e11i | 0.0475456 | − | 0.0823514i | ||||
\(575\) | −7.77992e11 | −0.296804 | ||||||||
\(576\) | 2.17780e12 | − | 3.77205e12i | 0.824358 | − | 1.42783i | ||||
\(577\) | −1.59785e11 | + | 2.76756e11i | −0.0600130 | + | 0.103946i | −0.894471 | − | 0.447126i | \(-0.852448\pi\) |
0.834458 | + | 0.551072i | \(0.185781\pi\) | |||||||
\(578\) | −3.31114e11 | − | 5.73507e11i | −0.123396 | − | 0.213729i | ||||
\(579\) | −3.00317e12 | − | 5.20165e12i | −1.11052 | − | 1.92348i | ||||
\(580\) | −7.15487e11 | −0.262528 | ||||||||
\(581\) | −1.48215e12 | −0.539634 | ||||||||
\(582\) | 4.22066e11 | + | 7.31040e11i | 0.152485 | + | 0.264112i | ||||
\(583\) | 8.47134e11 | + | 1.46728e12i | 0.303699 | + | 0.526022i | ||||
\(584\) | 5.38934e11 | − | 9.33462e11i | 0.191725 | − | 0.332077i | ||||
\(585\) | 4.55555e12 | − | 7.89045e12i | 1.60820 | − | 2.78548i | ||||
\(586\) | −7.39448e11 | −0.259041 | ||||||||
\(587\) | −3.75508e11 | + | 6.50400e11i | −0.130541 | + | 0.226104i | −0.923885 | − | 0.382669i | \(-0.875005\pi\) |
0.793344 | + | 0.608774i | \(0.208338\pi\) | |||||||
\(588\) | −2.07314e12 | + | 3.59079e12i | −0.715206 | + | 1.23877i | ||||
\(589\) | 1.48632e12 | − | 2.57439e12i | 0.508855 | − | 0.881363i | ||||
\(590\) | −2.69140e11 | − | 4.66165e11i | −0.0914418 | − | 0.158382i | ||||
\(591\) | 6.62882e12 | 2.23508 | ||||||||
\(592\) | 3.89063e11 | + | 6.73876e11i | 0.130188 | + | 0.225493i | ||||
\(593\) | −3.20827e11 | + | 5.55689e11i | −0.106543 | + | 0.184538i | −0.914368 | − | 0.404885i | \(-0.867312\pi\) |
0.807825 | + | 0.589423i | \(0.200645\pi\) | |||||||
\(594\) | −2.01068e12 | −0.662681 | ||||||||
\(595\) | −3.07684e10 | + | 5.32924e10i | −0.0100642 | + | 0.0174317i | ||||
\(596\) | −1.14682e12 | − | 1.98635e12i | −0.372295 | − | 0.644834i | ||||
\(597\) | −1.90231e12 | − | 3.29490e12i | −0.612910 | − | 1.06159i | ||||
\(598\) | −1.05097e12 | −0.336075 | ||||||||
\(599\) | −3.38497e11 | − | 5.86294e11i | −0.107432 | − | 0.186078i | 0.807297 | − | 0.590145i | \(-0.200929\pi\) |
−0.914729 | + | 0.404067i | \(0.867596\pi\) | |||||||
\(600\) | −9.80475e11 | −0.308856 | ||||||||
\(601\) | −3.82443e12 | −1.19573 | −0.597863 | − | 0.801598i | \(-0.703983\pi\) | ||||
−0.597863 | + | 0.801598i | \(0.703983\pi\) | |||||||
\(602\) | 2.71620e11 | + | 2.16266e11i | 0.0842904 | + | 0.0671125i | ||||
\(603\) | −1.23087e13 | −3.79125 | ||||||||
\(604\) | 3.79469e12 | 1.16014 | ||||||||
\(605\) | −1.84557e11 | − | 3.19662e11i | −0.0560055 | − | 0.0970044i | ||||
\(606\) | −2.97793e11 | −0.0896989 | ||||||||
\(607\) | 2.94602e12 | + | 5.10265e12i | 0.880818 | + | 1.52562i | 0.850433 | + | 0.526084i | \(0.176340\pi\) |
0.0303852 | + | 0.999538i | \(0.490327\pi\) | |||||||
\(608\) | 8.66499e11 | + | 1.50082e12i | 0.257159 | + | 0.445413i | ||||
\(609\) | −4.78785e11 | + | 8.29280e11i | −0.141047 | + | 0.244300i | ||||
\(610\) | −7.61121e11 | −0.222571 | ||||||||
\(611\) | −5.77159e10 | + | 9.99669e10i | −0.0167537 | + | 0.0290182i | ||||
\(612\) | 2.35375e11 | + | 4.07681e11i | 0.0678232 | + | 0.117473i | ||||
\(613\) | 6.37703e12 | 1.82409 | 0.912044 | − | 0.410091i | \(-0.134503\pi\) | ||||
0.912044 | + | 0.410091i | \(0.134503\pi\) | |||||||
\(614\) | 2.78837e11 | + | 4.82961e11i | 0.0791760 | + | 0.137137i | ||||
\(615\) | −2.38661e12 | + | 4.13373e12i | −0.672733 | + | 1.16521i | ||||
\(616\) | 3.46509e11 | − | 6.00171e11i | 0.0969618 | − | 0.167943i | ||||
\(617\) | 2.74456e12 | − | 4.75371e12i | 0.762411 | − | 1.32053i | −0.179194 | − | 0.983814i | \(-0.557349\pi\) |
0.941605 | − | 0.336721i | \(-0.109318\pi\) | |||||||
\(618\) | 2.94338e12 | 0.811706 | ||||||||
\(619\) | −9.92299e11 | + | 1.71871e12i | −0.271666 | + | 0.470539i | −0.969288 | − | 0.245927i | \(-0.920908\pi\) |
0.697623 | + | 0.716465i | \(0.254241\pi\) | |||||||
\(620\) | 1.89276e12 | − | 3.27835e12i | 0.514437 | − | 0.891031i | ||||
\(621\) | −4.63230e12 | − | 8.02337e12i | −1.24993 | − | 2.16493i | ||||
\(622\) | −6.82825e11 | − | 1.18269e12i | −0.182916 | − | 0.316820i | ||||
\(623\) | −1.50686e11 | −0.0400753 | ||||||||
\(624\) | 9.13649e12 | 2.41240 | ||||||||
\(625\) | 1.03103e12 | + | 1.78579e12i | 0.270278 | + | 0.468135i | ||||
\(626\) | −5.27082e11 | − | 9.12933e11i | −0.137181 | − | 0.237604i | ||||
\(627\) | −2.54281e12 | + | 4.40428e12i | −0.657069 | + | 1.13808i | ||||
\(628\) | −1.89034e12 | + | 3.27417e12i | −0.484978 | + | 0.840006i | ||||
\(629\) | −7.11113e10 | −0.0181138 | ||||||||
\(630\) | 4.37685e11 | − | 7.58093e11i | 0.110695 | − | 0.191730i | ||||
\(631\) | −2.03290e12 | + | 3.52108e12i | −0.510485 | + | 0.884186i | 0.489441 | + | 0.872036i | \(0.337201\pi\) |
−0.999926 | + | 0.0121499i | \(0.996132\pi\) | |||||||
\(632\) | −6.45728e11 | + | 1.11843e12i | −0.160999 | + | 0.278858i | ||||
\(633\) | 4.81168e12 | + | 8.33407e12i | 1.19119 | + | 2.06319i | ||||
\(634\) | −2.72759e11 | −0.0670468 | ||||||||
\(635\) | −2.11786e12 | − | 3.66824e12i | −0.516910 | − | 0.895314i | ||||
\(636\) | −2.38183e12 | + | 4.12545e12i | −0.577237 | + | 0.999804i | ||||
\(637\) | −5.27303e12 | −1.26892 | ||||||||
\(638\) | −1.65870e11 | + | 2.87295e11i | −0.0396346 | + | 0.0686492i | ||||
\(639\) | 9.02308e12 | + | 1.56284e13i | 2.14092 | + | 3.70819i | ||||
\(640\) | 1.45281e12 | + | 2.51633e12i | 0.342293 | + | 0.592869i | ||||
\(641\) | 5.89544e12 | 1.37929 | 0.689644 | − | 0.724148i | \(-0.257767\pi\) | ||||
0.689644 | + | 0.724148i | \(0.257767\pi\) | |||||||
\(642\) | 1.83224e12 | + | 3.17352e12i | 0.425671 | + | 0.737283i | ||||
\(643\) | −4.19857e12 | −0.968616 | −0.484308 | − | 0.874898i | \(-0.660929\pi\) | ||||
−0.484308 | + | 0.874898i | \(0.660929\pi\) | |||||||
\(644\) | 1.54611e12 | 0.354205 | ||||||||
\(645\) | −5.24240e12 | − | 4.17403e12i | −1.19264 | − | 0.949591i | ||||
\(646\) | −4.70694e10 | −0.0106339 | ||||||||
\(647\) | −3.63800e12 | −0.816195 | −0.408097 | − | 0.912938i | \(-0.633808\pi\) | ||||
−0.408097 | + | 0.912938i | \(0.633808\pi\) | |||||||
\(648\) | −3.10857e12 | − | 5.38421e12i | −0.692586 | − | 1.19959i | ||||
\(649\) | 3.82150e12 | 0.845538 | ||||||||
\(650\) | −3.01872e11 | − | 5.22857e11i | −0.0663304 | − | 0.114888i | ||||
\(651\) | −2.53316e12 | − | 4.38757e12i | −0.552776 | − | 0.957436i | ||||
\(652\) | −3.74165e12 | + | 6.48073e12i | −0.810866 | + | 1.40446i | ||||
\(653\) | −1.85178e12 | −0.398548 | −0.199274 | − | 0.979944i | \(-0.563858\pi\) | ||||
−0.199274 | + | 0.979944i | \(0.563858\pi\) | |||||||
\(654\) | −1.43978e12 | + | 2.49378e12i | −0.307749 | + | 0.533038i | ||||
\(655\) | −2.48714e12 | − | 4.30786e12i | −0.527977 | − | 0.914483i | ||||
\(656\) | −3.43196e12 | −0.723560 | ||||||||
\(657\) | 4.83292e12 | + | 8.37085e12i | 1.01196 | + | 1.75277i | ||||
\(658\) | −5.54519e9 | + | 9.60455e9i | −0.00115319 | + | 0.00199738i | ||||
\(659\) | 1.63933e12 | − | 2.83940e12i | 0.338595 | − | 0.586464i | −0.645574 | − | 0.763698i | \(-0.723382\pi\) |
0.984169 | + | 0.177234i | \(0.0567149\pi\) | |||||||
\(660\) | −3.23815e12 | + | 5.60863e12i | −0.664276 | + | 1.15056i | ||||
\(661\) | −8.94346e11 | −0.182221 | −0.0911106 | − | 0.995841i | \(-0.529042\pi\) | ||||
−0.0911106 | + | 0.995841i | \(0.529042\pi\) | |||||||
\(662\) | −6.59808e11 | + | 1.14282e12i | −0.133523 | + | 0.231269i | ||||
\(663\) | −4.17483e11 | + | 7.23101e11i | −0.0839127 | + | 0.145341i | ||||
\(664\) | −1.49085e12 | − | 2.58222e12i | −0.297630 | − | 0.515510i | ||||
\(665\) | −6.70102e11 | − | 1.16065e12i | −0.132875 | − | 0.230146i | ||||
\(666\) | 1.01157e12 | 0.199233 | ||||||||
\(667\) | −1.52855e12 | −0.299029 | ||||||||
\(668\) | −3.99486e12 | − | 6.91931e12i | −0.776261 | − | 1.34452i | ||||
\(669\) | 7.35279e11 | + | 1.27354e12i | 0.141917 | + | 0.245808i | ||||
\(670\) | 7.83631e11 | − | 1.35729e12i | 0.150236 | − | 0.260217i | ||||
\(671\) | 2.70177e12 | − | 4.67961e12i | 0.514514 | − | 0.891165i | ||||
\(672\) | 2.95358e12 | 0.558710 | ||||||||
\(673\) | 9.66710e11 | − | 1.67439e12i | 0.181647 | − | 0.314622i | −0.760794 | − | 0.648993i | \(-0.775190\pi\) |
0.942442 | + | 0.334371i | \(0.108524\pi\) | |||||||
\(674\) | 1.85839e11 | − | 3.21882e11i | 0.0346870 | − | 0.0600797i | ||||
\(675\) | 2.66108e12 | − | 4.60912e12i | 0.493391 | − | 0.854578i | ||||
\(676\) | 3.69576e12 | + | 6.40124e12i | 0.680680 | + | 1.17897i | ||||
\(677\) | −5.75500e12 | −1.05292 | −0.526461 | − | 0.850199i | \(-0.676482\pi\) | ||||
−0.526461 | + | 0.850199i | \(0.676482\pi\) | |||||||
\(678\) | 2.13600e12 | + | 3.69966e12i | 0.388211 | + | 0.672401i | ||||
\(679\) | 7.89645e11 | − | 1.36771e12i | 0.142567 | − | 0.246933i | ||||
\(680\) | −1.23796e11 | −0.0222032 | ||||||||
\(681\) | 4.86784e12 | − | 8.43134e12i | 0.867310 | − | 1.50222i | ||||
\(682\) | −8.77588e11 | − | 1.52003e12i | −0.155332 | − | 0.269043i | ||||
\(683\) | −5.46408e12 | − | 9.46407e12i | −0.960780 | − | 1.66412i | −0.720548 | − | 0.693405i | \(-0.756110\pi\) |
−0.240232 | − | 0.970716i | \(-0.577223\pi\) | |||||||
\(684\) | −1.02524e13 | −1.79091 | ||||||||
\(685\) | 2.28268e12 | + | 3.95372e12i | 0.396130 | + | 0.686117i | ||||
\(686\) | −1.13158e12 | −0.195087 | ||||||||
\(687\) | 5.70195e12 | 0.976602 | ||||||||
\(688\) | 7.14412e11 | − | 4.76488e12i | 0.121563 | − | 0.810781i | ||||
\(689\) | −6.05818e12 | −1.02413 | ||||||||
\(690\) | 1.94885e12 | 0.327309 | ||||||||
\(691\) | 4.35858e11 | + | 7.54928e11i | 0.0727266 | + | 0.125966i | 0.900095 | − | 0.435693i | \(-0.143497\pi\) |
−0.827369 | + | 0.561659i | \(0.810163\pi\) | |||||||
\(692\) | 8.75533e12 | 1.45143 | ||||||||
\(693\) | 3.10733e12 | + | 5.38205e12i | 0.511785 | + | 0.886438i | ||||
\(694\) | 6.23745e11 | + | 1.08036e12i | 0.102068 | + | 0.176787i | ||||
\(695\) | −3.25964e12 | + | 5.64586e12i | −0.529953 | + | 0.917906i | ||||
\(696\) | −1.92638e12 | −0.311172 | ||||||||
\(697\) | 1.56820e11 | − | 2.71620e11i | 0.0251683 | − | 0.0435927i | ||||
\(698\) | 1.25462e11 | + | 2.17306e11i | 0.0200061 | + | 0.0346516i | ||||
\(699\) | 6.17572e12 | 0.978454 | ||||||||
\(700\) | 4.44092e11 | + | 7.69190e11i | 0.0699088 | + | 0.121086i | ||||
\(701\) | −5.16219e12 | + | 8.94117e12i | −0.807426 | + | 1.39850i | 0.107215 | + | 0.994236i | \(0.465807\pi\) |
−0.914641 | + | 0.404267i | \(0.867527\pi\) | |||||||
\(702\) | 3.59479e12 | − | 6.22637e12i | 0.558672 | − | 0.967649i | ||||
\(703\) | 7.74364e11 | − | 1.34124e12i | 0.119577 | − | 0.207113i | ||||
\(704\) | −3.93735e12 | −0.604125 | ||||||||
\(705\) | 1.07025e11 | − | 1.85372e11i | 0.0163167 | − | 0.0282614i | ||||
\(706\) | 2.96836e11 | − | 5.14134e11i | 0.0449671 | − | 0.0778853i | ||||
\(707\) | 2.78571e11 | + | 4.82499e11i | 0.0419322 | + | 0.0726288i | ||||
\(708\) | 5.37234e12 | + | 9.30516e12i | 0.803551 | + | 1.39179i | ||||
\(709\) | −3.35099e12 | −0.498042 | −0.249021 | − | 0.968498i | \(-0.580109\pi\) | ||||
−0.249021 | + | 0.968498i | \(0.580109\pi\) | |||||||
\(710\) | −2.29782e12 | −0.339354 | ||||||||
\(711\) | −5.79059e12 | − | 1.00296e13i | −0.849787 | − | 1.47187i | ||||
\(712\) | −1.51570e11 | − | 2.62528e11i | −0.0221032 | − | 0.0382838i | ||||
\(713\) | 4.04365e12 | − | 7.00380e12i | 0.585963 | − | 1.01492i | ||||
\(714\) | −4.01106e10 | + | 6.94736e10i | −0.00577587 | + | 0.0100041i | ||||
\(715\) | −8.23621e12 | −1.17856 | ||||||||
\(716\) | −3.17455e12 | + | 5.49849e12i | −0.451413 | + | 0.781870i | ||||
\(717\) | −7.69435e11 | + | 1.33270e12i | −0.108727 | + | 0.188320i | ||||
\(718\) | 4.06954e11 | − | 7.04864e11i | 0.0571459 | − | 0.0989796i | ||||
\(719\) | −9.92865e11 | − | 1.71969e12i | −0.138551 | − | 0.239978i | 0.788397 | − | 0.615167i | \(-0.210911\pi\) |
−0.926948 | + | 0.375189i | \(0.877578\pi\) | |||||||
\(720\) | −1.21476e13 | −1.68459 | ||||||||
\(721\) | −2.75339e12 | − | 4.76902e12i | −0.379455 | − | 0.657235i | ||||
\(722\) | −3.91369e11 | + | 6.77871e11i | −0.0536006 | + | 0.0928389i | ||||
\(723\) | −6.08338e12 | −0.827985 | ||||||||
\(724\) | 3.02244e12 | − | 5.23502e12i | 0.408822 | − | 0.708100i | ||||
\(725\) | −4.39048e11 | − | 7.60453e11i | −0.0590188 | − | 0.102224i | ||||
\(726\) | −2.40594e11 | − | 4.16721e11i | −0.0321418 | − | 0.0556712i | ||||
\(727\) | 1.57347e12 | 0.208908 | 0.104454 | − | 0.994530i | \(-0.466691\pi\) | ||||
0.104454 | + | 0.994530i | \(0.466691\pi\) | |||||||
\(728\) | 1.23901e12 | + | 2.14603e12i | 0.163487 | + | 0.283168i | ||||
\(729\) | 1.44271e13 | 1.89193 | ||||||||
\(730\) | −1.23075e12 | −0.160405 | ||||||||
\(731\) | 3.44469e11 | + | 2.74268e11i | 0.0446192 | + | 0.0355260i | ||||
\(732\) | 1.51928e13 | 1.95586 | ||||||||
\(733\) | 1.76363e12 | 0.225652 | 0.112826 | − | 0.993615i | \(-0.464010\pi\) | ||||
0.112826 | + | 0.993615i | \(0.464010\pi\) | |||||||
\(734\) | −3.54322e11 | − | 6.13704e11i | −0.0450574 | − | 0.0780417i | ||||
\(735\) | 9.77796e12 | 1.23582 | ||||||||
\(736\) | 2.35737e12 | + | 4.08309e12i | 0.296127 | + | 0.512907i | ||||
\(737\) | 5.56336e12 | + | 9.63602e12i | 0.694598 | + | 1.20308i | ||||
\(738\) | −2.23079e12 | + | 3.86384e12i | −0.276825 | + | 0.479475i | ||||
\(739\) | −4.36162e12 | −0.537958 | −0.268979 | − | 0.963146i | \(-0.586686\pi\) | ||||
−0.268979 | + | 0.963146i | \(0.586686\pi\) | |||||||
\(740\) | 9.86113e11 | − | 1.70800e12i | 0.120888 | − | 0.209385i | ||||
\(741\) | −9.09232e12 | − | 1.57484e13i | −1.10788 | − | 1.91891i | ||||
\(742\) | −5.82054e11 | −0.0704929 | ||||||||
\(743\) | 2.97756e12 | + | 5.15729e12i | 0.358436 | + | 0.620829i | 0.987700 | − | 0.156363i | \(-0.0499769\pi\) |
−0.629264 | + | 0.777192i | \(0.716644\pi\) | |||||||
\(744\) | 5.09607e12 | − | 8.82664e12i | 0.609757 | − | 1.05613i | ||||
\(745\) | −2.70449e12 | + | 4.68431e12i | −0.321649 | + | 0.557112i | ||||
\(746\) | 8.14038e11 | − | 1.40996e12i | 0.0962321 | − | 0.166679i | ||||
\(747\) | 2.67385e13 | 3.14191 | ||||||||
\(748\) | 2.12773e11 | − | 3.68533e11i | 0.0248519 | − | 0.0430447i | ||||
\(749\) | 3.42794e12 | − | 5.93736e12i | 0.397983 | − | 0.689327i | ||||
\(750\) | 2.19517e12 | + | 3.80214e12i | 0.253333 | + | 0.438786i | ||||
\(751\) | −1.71134e12 | − | 2.96412e12i | −0.196316 | − | 0.340029i | 0.751015 | − | 0.660285i | \(-0.229564\pi\) |
−0.947331 | + | 0.320256i | \(0.896231\pi\) | |||||||
\(752\) | 1.53902e11 | 0.0175495 | ||||||||
\(753\) | 2.24524e13 | 2.54499 | ||||||||
\(754\) | −5.93100e11 | − | 1.02728e12i | −0.0668278 | − | 0.115749i | ||||
\(755\) | −4.47441e12 | − | 7.74991e12i | −0.501158 | − | 0.868031i | ||||
\(756\) | −5.28840e12 | + | 9.15978e12i | −0.588812 | + | 1.01985i | ||||
\(757\) | −7.23269e11 | + | 1.25274e12i | −0.0800513 | + | 0.138653i | −0.903272 | − | 0.429069i | \(-0.858842\pi\) |
0.823220 | + | 0.567722i | \(0.192175\pi\) | |||||||
\(758\) | −9.41924e11 | −0.103635 | ||||||||
\(759\) | −6.91791e12 | + | 1.19822e13i | −0.756636 | + | 1.31053i | ||||
\(760\) | 1.34807e12 | − | 2.33492e12i | 0.146572 | − | 0.253870i | ||||
\(761\) | −4.16809e12 | + | 7.21935e12i | −0.450512 | + | 0.780309i | −0.998418 | − | 0.0562305i | \(-0.982092\pi\) |
0.547906 | + | 0.836540i | \(0.315425\pi\) | |||||||
\(762\) | −2.76091e12 | − | 4.78203e12i | −0.296657 | − | 0.513825i | ||||
\(763\) | 5.38739e12 | 0.575464 | ||||||||
\(764\) | −2.98699e11 | − | 5.17361e11i | −0.0317185 | − | 0.0549381i | ||||
\(765\) | 5.55072e11 | − | 9.61413e11i | 0.0585966 | − | 0.101492i | ||||
\(766\) | 1.66080e12 | 0.174296 | ||||||||
\(767\) | −6.83226e12 | + | 1.18338e13i | −0.712829 | + | 1.23466i | ||||
\(768\) | −4.00277e12 | − | 6.93299e12i | −0.415178 | − | 0.719110i | ||||
\(769\) | 4.49396e12 | + | 7.78377e12i | 0.463405 | + | 0.802642i | 0.999128 | − | 0.0417524i | \(-0.0132941\pi\) |
−0.535723 | + | 0.844394i | \(0.679961\pi\) | |||||||
\(770\) | −7.91313e11 | −0.0811223 | ||||||||
\(771\) | −1.34961e13 | − | 2.33759e13i | −1.37551 | − | 2.38245i | ||||
\(772\) | −1.09458e13 | −1.10910 | ||||||||
\(773\) | −1.61732e13 | −1.62925 | −0.814624 | − | 0.579990i | \(-0.803056\pi\) | ||||
−0.814624 | + | 0.579990i | \(0.803056\pi\) | |||||||
\(774\) | −4.90013e12 | − | 3.90151e12i | −0.490764 | − | 0.390749i | ||||
\(775\) | 4.64585e12 | 0.462602 | ||||||||
\(776\) | 3.17712e12 | 0.314525 | ||||||||
\(777\) | −1.31976e12 | − | 2.28589e12i | −0.129898 | − | 0.224989i | ||||
\(778\) | −3.65921e12 | −0.358079 | ||||||||
\(779\) | 3.41537e12 | + | 5.91559e12i | 0.332291 | + | 0.575545i | ||||
\(780\) | −1.15786e13 | − | 2.00548e13i | −1.12003 | − | 1.93996i | ||||
\(781\) | 8.15664e12 | − | 1.41277e13i | 0.784480 | − | 1.35876i | ||||
\(782\) | −1.28056e11 | −0.0122453 | ||||||||
\(783\) | 5.22833e12 | − | 9.05574e12i | 0.497090 | − | 0.860985i | ||||
\(784\) | 3.51519e12 | + | 6.08849e12i | 0.332297 | + | 0.575556i | ||||
\(785\) | 8.91578e12 | 0.838004 | ||||||||
\(786\) | −3.24232e12 | − | 5.61586e12i | −0.303008 | − | 0.524826i | ||||
\(787\) | 6.05561e12 | − | 1.04886e13i | 0.562693 | − | 0.974614i | −0.434567 | − | 0.900640i | \(-0.643098\pi\) |
0.997260 | − | 0.0739740i | \(-0.0235682\pi\) | |||||||
\(788\) | 6.04010e12 | − | 1.04618e13i | 0.558054 | − | 0.966578i | ||||
\(789\) | −3.40636e12 | + | 5.89999e12i | −0.312928 | + | 0.542007i | ||||
\(790\) | 1.47463e12 | 0.134698 | ||||||||
\(791\) | 3.99625e12 | − | 6.92171e12i | 0.362960 | − | 0.628665i | ||||
\(792\) | −6.25114e12 | + | 1.08273e13i | −0.564541 | + | 0.977814i | ||||
\(793\) | 9.66071e12 | + | 1.67328e13i | 0.867521 | + | 1.50259i | ||||
\(794\) | 1.64038e12 | + | 2.84122e12i | 0.146471 | + | 0.253695i | ||||
\(795\) | 1.12339e13 | 0.997421 | ||||||||
\(796\) | −6.93345e12 | −0.612126 | ||||||||
\(797\) | 1.07874e13 | + | 1.86844e13i | 0.947014 | + | 1.64028i | 0.751669 | + | 0.659541i | \(0.229249\pi\) |
0.195345 | + | 0.980735i | \(0.437417\pi\) | |||||||
\(798\) | −8.73566e11 | − | 1.51306e12i | −0.0762576 | − | 0.132082i | ||||
\(799\) | −7.03240e9 | + | 1.21805e10i | −0.000610440 | + | 0.00105731i | ||||
\(800\) | −1.35422e12 | + | 2.34558e12i | −0.116892 | + | 0.202463i | ||||
\(801\) | 2.71843e12 | 0.233330 | ||||||||
\(802\) | 1.17900e12 | − | 2.04208e12i | 0.100630 | − | 0.174297i | ||||
\(803\) | 4.36883e12 | − | 7.56704e12i | 0.370805 | − | 0.642253i | ||||
\(804\) | −1.56421e13 | + | 2.70930e13i | −1.32021 | + | 2.28668i | ||||
\(805\) | −1.82306e12 | − | 3.15763e12i | −0.153010 | − | 0.265021i | ||||
\(806\) | 6.27597e12 | 0.523809 | ||||||||
\(807\) | −7.64665e12 | − | 1.32444e13i | −0.634659 | − | 1.09926i | ||||
\(808\) | −5.60411e11 | + | 9.70661e11i | −0.0462547 | + | 0.0801155i | ||||
\(809\) | −1.95341e13 | −1.60333 | −0.801667 | − | 0.597770i | \(-0.796053\pi\) | ||||
−0.801667 | + | 0.597770i | \(0.796053\pi\) | |||||||
\(810\) | −3.54949e12 | + | 6.14789e12i | −0.289723 | + | 0.501815i | ||||
\(811\) | −8.18281e12 | − | 1.41731e13i | −0.664215 | − | 1.15045i | −0.979497 | − | 0.201457i | \(-0.935432\pi\) |
0.315282 | − | 0.948998i | \(-0.397901\pi\) | |||||||
\(812\) | 8.72526e11 | + | 1.51126e12i | 0.0704330 | + | 0.121994i | ||||
\(813\) | −2.08674e13 | −1.67518 | ||||||||
\(814\) | −4.57217e11 | − | 7.91924e11i | −0.0365017 | − | 0.0632228i | ||||
\(815\) | 1.76475e13 | 1.40111 | ||||||||
\(816\) | 1.11324e12 | 0.0878986 | ||||||||
\(817\) | −8.92407e12 | + | 3.51043e12i | −0.700751 | + | 0.275652i | ||||
\(818\) | 3.31476e12 | 0.258859 | ||||||||
\(819\) | −2.22217e13 | −1.72584 | ||||||||
\(820\) | 4.34930e12 | + | 7.53320e12i | 0.335936 | + | 0.581859i | ||||
\(821\) | 3.74691e12 | 0.287825 | 0.143913 | − | 0.989590i | \(-0.454032\pi\) | ||||
0.143913 | + | 0.989590i | \(0.454032\pi\) | |||||||
\(822\) | 2.97578e12 | + | 5.15420e12i | 0.227341 | + | 0.393766i | ||||
\(823\) | −5.27850e12 | − | 9.14264e12i | −0.401062 | − | 0.694660i | 0.592792 | − | 0.805355i | \(-0.298026\pi\) |
−0.993854 | + | 0.110695i | \(0.964692\pi\) | |||||||
\(824\) | 5.53911e12 | − | 9.59402e12i | 0.418569 | − | 0.724984i | ||||
\(825\) | −7.94815e12 | −0.597343 | ||||||||
\(826\) | −6.56425e11 | + | 1.13696e12i | −0.0490654 | + | 0.0849837i | ||||
\(827\) | 9.65720e12 | + | 1.67268e13i | 0.717921 | + | 1.24348i | 0.961822 | + | 0.273675i | \(0.0882394\pi\) |
−0.243901 | + | 0.969800i | \(0.578427\pi\) | |||||||
\(828\) | −2.78924e13 | −2.06229 | ||||||||
\(829\) | −7.90806e12 | − | 1.36972e13i | −0.581533 | − | 1.00725i | −0.995298 | − | 0.0968612i | \(-0.969120\pi\) |
0.413765 | − | 0.910384i | \(-0.364214\pi\) | |||||||
\(830\) | −1.70231e12 | + | 2.94848e12i | −0.124505 | + | 0.215649i | ||||
\(831\) | −1.36637e13 | + | 2.36662e13i | −0.993947 | + | 1.72157i | ||||
\(832\) | 7.03937e12 | − | 1.21925e13i | 0.509306 | − | 0.882144i | ||||
\(833\) | −6.42493e11 | −0.0462344 | ||||||||
\(834\) | −4.24937e12 | + | 7.36012e12i | −0.304143 | + | 0.526790i | ||||
\(835\) | −9.42088e12 | + | 1.63174e13i | −0.670660 | + | 1.16162i | ||||
\(836\) | 4.63396e12 | + | 8.02626e12i | 0.328114 | + | 0.568310i | ||||
\(837\) | 2.76622e13 | + | 4.79123e13i | 1.94815 | + | 3.37429i | ||||
\(838\) | 2.00109e12 | 0.140174 | ||||||||
\(839\) | −2.24813e13 | −1.56637 | −0.783183 | − | 0.621792i | \(-0.786405\pi\) | ||||
−0.783183 | + | 0.621792i | \(0.786405\pi\) | |||||||
\(840\) | −2.29754e12 | − | 3.97945e12i | −0.159223 | − | 0.275782i | ||||
\(841\) | 6.39096e12 | + | 1.10695e13i | 0.440539 | + | 0.763035i | ||||
\(842\) | −6.44338e10 | + | 1.11603e11i | −0.00441783 | + | 0.00765191i | ||||
\(843\) | 3.34211e12 | − | 5.78871e12i | 0.227928 | − | 0.394782i | ||||
\(844\) | 1.75374e13 | 1.18966 | ||||||||
\(845\) | 8.71551e12 | − | 1.50957e13i | 0.588081 | − | 1.01859i | ||||
\(846\) | 1.00037e11 | − | 1.73269e11i | 0.00671421 | − | 0.0116294i | ||||
\(847\) | −4.50128e11 | + | 7.79645e11i | −0.0300512 | + | 0.0520501i | ||||
\(848\) | 4.03860e12 | + | 6.99507e12i | 0.268194 | + | 0.464526i | ||||
\(849\) | 3.91869e12 | 0.258855 | ||||||||
\(850\) | −3.67816e10 | − | 6.37076e10i | −0.00241683 | − | 0.00418607i | ||||
\(851\) | 2.10671e12 | − | 3.64893e12i | 0.137696 | − | 0.238497i | ||||
\(852\) | 4.58670e13 | 2.98210 | ||||||||
\(853\) | 6.56463e12 | − | 1.13703e13i | 0.424561 | − | 0.735361i | −0.571818 | − | 0.820380i | \(-0.693762\pi\) |
0.996379 | + | 0.0850192i | \(0.0270952\pi\) | |||||||
\(854\) | 9.28176e11 | + | 1.60765e12i | 0.0597131 | + | 0.103426i | ||||
\(855\) | 1.20889e13 | + | 2.09385e13i | 0.773638 | + | 1.33998i | ||||
\(856\) | 1.37922e13 | 0.878016 | ||||||||
\(857\) | 5.71819e12 | + | 9.90419e12i | 0.362113 | + | 0.627199i | 0.988308 | − | 0.152468i | \(-0.0487219\pi\) |
−0.626195 | + | 0.779666i | \(0.715389\pi\) | |||||||
\(858\) | −1.07370e13 | −0.676379 | ||||||||
\(859\) | −9.03348e12 | −0.566090 | −0.283045 | − | 0.959107i | \(-0.591345\pi\) | ||||
−0.283045 | + | 0.959107i | \(0.591345\pi\) | |||||||
\(860\) | −1.13644e13 | + | 4.47035e12i | −0.708438 | + | 0.278676i | ||||
\(861\) | 1.16417e13 | 0.721944 | ||||||||
\(862\) | 5.50160e11 | 0.0339396 | ||||||||
\(863\) | 1.59970e13 | + | 2.77076e13i | 0.981726 | + | 1.70040i | 0.655669 | + | 0.755049i | \(0.272387\pi\) |
0.326057 | + | 0.945350i | \(0.394280\pi\) | |||||||
\(864\) | −3.22531e13 | −1.96906 | ||||||||
\(865\) | −1.03236e13 | − | 1.78810e13i | −0.626988 | − | 1.08598i | ||||
\(866\) | 1.26932e12 | + | 2.19852e12i | 0.0766902 | + | 0.132831i | ||||
\(867\) | 1.55866e13 | − | 2.69968e13i | 0.936841 | − | 1.62266i | ||||
\(868\) | −9.23276e12 | −0.552068 | ||||||||
\(869\) | −5.23455e12 | + | 9.06651e12i | −0.311380 | + | 0.539326i | ||||
\(870\) | 1.09981e12 | + | 1.90492e12i | 0.0650848 | + | 0.112730i | ||||
\(871\) | −3.97857e13 | −2.34232 | ||||||||
\(872\) | 5.41901e12 | + | 9.38600e12i | 0.317392 | + | 0.549739i | ||||
\(873\) | −1.42455e13 | + | 2.46739e13i | −0.830066 | + | 1.43772i | ||||
\(874\) | 1.39446e12 | − | 2.41527e12i | 0.0808359 | − | 0.140012i | ||||
\(875\) | 4.10695e12 | − | 7.11344e12i | 0.236855 | − | 0.410245i | ||||
\(876\) | 2.45672e13 | 1.40957 | ||||||||
\(877\) | −3.63107e11 | + | 6.28919e11i | −0.0207270 | + | 0.0359002i | −0.876203 | − | 0.481942i | \(-0.839931\pi\) |
0.855476 | + | 0.517843i | \(0.173265\pi\) | |||||||
\(878\) | −3.80416e11 | + | 6.58900e11i | −0.0216040 | + | 0.0374192i | ||||
\(879\) | −1.74041e13 | − | 3.01448e13i | −0.983335 | − | 1.70319i | ||||
\(880\) | 5.49056e12 | + | 9.50992e12i | 0.308634 | + | 0.534571i | ||||
\(881\) | 2.44992e13 | 1.37013 | 0.685063 | − | 0.728484i | \(-0.259775\pi\) | ||||
0.685063 | + | 0.728484i | \(0.259775\pi\) | |||||||
\(882\) | 9.13957e12 | 0.508531 | ||||||||
\(883\) | −1.39397e13 | − | 2.41442e13i | −0.771666 | − | 1.33656i | −0.936649 | − | 0.350268i | \(-0.886090\pi\) |
0.164984 | − | 0.986296i | \(-0.447243\pi\) | |||||||
\(884\) | 7.60811e11 | + | 1.31776e12i | 0.0419026 | + | 0.0725775i | ||||
\(885\) | 1.26693e13 | − | 2.19439e13i | 0.694237 | − | 1.20245i | ||||
\(886\) | −4.15787e12 | + | 7.20164e12i | −0.226683 | + | 0.392627i | ||||
\(887\) | −2.72329e13 | −1.47719 | −0.738597 | − | 0.674147i | \(-0.764511\pi\) | ||||
−0.738597 | + | 0.674147i | \(0.764511\pi\) | |||||||
\(888\) | 2.65501e12 | − | 4.59862e12i | 0.143288 | − | 0.248181i | ||||
\(889\) | −5.16539e12 | + | 8.94672e12i | −0.277361 | + | 0.480403i | ||||
\(890\) | −1.73069e11 | + | 2.99764e11i | −0.00924621 | + | 0.0160149i | ||||
\(891\) | −2.51994e13 | − | 4.36467e13i | −1.33950 | − | 2.32007i | ||||
\(892\) | 2.67991e12 | 0.141735 | ||||||||
\(893\) | −1.53158e11 | − | 2.65278e11i | −0.00805951 | − | 0.0139595i | ||||
\(894\) | −3.52566e12 | + | 6.10662e12i | −0.184596 | + | 0.319729i | ||||
\(895\) | 1.49728e13 | 0.780006 | ||||||||
\(896\) | 3.54335e12 | − | 6.13727e12i | 0.183666 | − | 0.318118i | ||||
\(897\) | −2.47363e13 | − | 4.28446e13i | −1.27576 | − | 2.20968i | ||||
\(898\) | 2.64193e12 | + | 4.57596e12i | 0.135575 | + | 0.234822i | ||||
\(899\) | 9.12788e12 | 0.466070 | ||||||||
\(900\) | −8.01158e12 | − | 1.38765e13i | −0.407030 | − | 0.704997i | ||||
\(901\) | −7.38160e11 | −0.0373155 | ||||||||
\(902\) | 4.03315e12 | 0.202869 | ||||||||
\(903\) | −2.42340e12 | + | 1.61632e13i | −0.121291 | + | 0.808970i | ||||
\(904\) | 1.60788e13 | 0.800749 | ||||||||
\(905\) | −1.42553e13 | −0.706412 | ||||||||
\(906\) | −5.83299e12 | − | 1.01030e13i | −0.287617 | − | 0.498167i | ||||
\(907\) | 1.71108e13 | 0.839535 | 0.419767 | − | 0.907632i | \(-0.362112\pi\) | ||||
0.419767 | + | 0.907632i | \(0.362112\pi\) | |||||||
\(908\) | −8.87103e12 | − | 1.53651e13i | −0.433100 | − | 0.750151i | ||||
\(909\) | −5.02551e12 | − | 8.70444e12i | −0.244142 | − | 0.422867i | ||||
\(910\) | 1.41475e12 | − | 2.45041e12i | 0.0683900 | − | 0.118455i | ||||
\(911\) | 1.82636e13 | 0.878526 | 0.439263 | − | 0.898359i | \(-0.355240\pi\) | ||||
0.439263 | + | 0.898359i | \(0.355240\pi\) | |||||||
\(912\) | −1.21225e13 | + | 2.09969e13i | −0.580253 | + | 1.00503i | ||||
\(913\) | −1.20855e13 | − | 2.09326e13i | −0.575631 | − | 0.997023i | ||||
\(914\) | −2.12967e12 | −0.100938 | ||||||||
\(915\) | −1.79142e13 | − | 3.10283e13i | −0.844895 | − | 1.46340i | ||||
\(916\) | 5.19554e12 | − | 8.99895e12i | 0.243838 | − | 0.422340i | ||||
\(917\) | −6.06607e12 | + | 1.05067e13i | −0.283299 | + | 0.490688i | ||||
\(918\) | 4.38008e11 | − | 7.58652e11i | 0.0203559 | − | 0.0352574i | ||||
\(919\) | −2.12704e12 | −0.0983684 | −0.0491842 | − | 0.998790i | \(-0.515662\pi\) | ||||
−0.0491842 | + | 0.998790i | \(0.515662\pi\) | |||||||
\(920\) | 3.66752e12 | − | 6.35233e12i | 0.168782 | − | 0.292340i | ||||
\(921\) | −1.31258e13 | + | 2.27345e13i | −0.601114 | + | 1.04116i | ||||
\(922\) | 2.45245e11 | + | 4.24777e11i | 0.0111766 | + | 0.0193585i | ||||
\(923\) | 2.91657e13 | + | 5.05164e13i | 1.32271 | + | 2.29100i | ||||
\(924\) | 1.57955e13 | 0.712868 | ||||||||
\(925\) | 2.42045e12 | 0.108707 | ||||||||
\(926\) | −4.46127e12 | − | 7.72714e12i | −0.199392 | − | 0.345358i | ||||
\(927\) | 4.96722e13 | + | 8.60348e13i | 2.20930 | + | 3.82662i | ||||
\(928\) | −2.66069e12 | + | 4.60846e12i | −0.117768 | + | 0.203981i | ||||
\(929\) | −1.29629e13 | + | 2.24524e13i | −0.570993 | + | 0.988988i | 0.425472 | + | 0.904972i | \(0.360108\pi\) |
−0.996464 | + | 0.0840165i | \(0.973225\pi\) | |||||||
\(930\) | −1.16378e13 | −0.510148 | ||||||||
\(931\) | 6.99640e12 | − | 1.21181e13i | 0.305212 | − | 0.528642i | ||||
\(932\) | 5.62724e12 | − | 9.74667e12i | 0.244300 | − | 0.423141i | ||||
\(933\) | 3.21428e13 | − | 5.56729e13i | 1.38872 | − | 2.40534i | ||||
\(934\) | −3.73872e12 | − | 6.47566e12i | −0.160754 | − | 0.278434i | ||||
\(935\) | −1.00354e12 | −0.0429421 | ||||||||
\(936\) | −2.23521e13 | − | 3.87151e13i | −0.951871 | − | 1.64869i | ||||
\(937\) | 4.11105e12 | − | 7.12055e12i | 0.174231 | − | 0.301776i | −0.765664 | − | 0.643241i | \(-0.777589\pi\) |
0.939895 | + | 0.341464i | \(0.110923\pi\) | |||||||
\(938\) | −3.82251e12 | −0.161226 | ||||||||
\(939\) | 2.48115e13 | − | 4.29747e13i | 1.04149 | − | 1.80392i | ||||
\(940\) | −1.95039e11 | − | 3.37818e11i | −0.00814792 | − | 0.0141126i | ||||
\(941\) | −9.17685e12 | − | 1.58948e13i | −0.381540 | − | 0.660847i | 0.609742 | − | 0.792600i | \(-0.291273\pi\) |
−0.991283 | + | 0.131753i | \(0.957940\pi\) | |||||||
\(942\) | 1.16229e13 | 0.480934 | ||||||||
\(943\) | 9.29175e12 | + | 1.60938e13i | 0.382644 | + | 0.662759i | ||||
\(944\) | 1.82185e13 | 0.746688 | ||||||||
\(945\) | 2.49427e13 | 1.01742 | ||||||||
\(946\) | −8.39560e11 | + | 5.59957e12i | −0.0340833 | + | 0.227324i | ||||
\(947\) | 2.01222e13 | 0.813020 | 0.406510 | − | 0.913646i | \(-0.366746\pi\) | ||||
0.406510 | + | 0.913646i | \(0.366746\pi\) | |||||||
\(948\) | −2.94353e13 | −1.18367 | ||||||||
\(949\) | 1.56216e13 | + | 2.70574e13i | 0.625213 | + | 1.08290i | ||||
\(950\) | 1.60213e12 | 0.0638177 | ||||||||
\(951\) | −6.41983e12 | − | 1.11195e13i | −0.254514 | − | 0.440831i | ||||
\(952\) | 1.50967e11 | + | 2.61483e11i | 0.00595684 | + | 0.0103176i | ||||
\(953\) | 1.02653e13 | − | 1.77800e13i | 0.403138 | − | 0.698256i | −0.590965 | − | 0.806698i | \(-0.701253\pi\) |
0.994103 | + | 0.108441i | \(0.0345860\pi\) | |||||||
\(954\) | 1.05005e13 | 0.410431 | ||||||||
\(955\) | −7.04405e11 | + | 1.22007e12i | −0.0274036 | + | 0.0474644i | ||||
\(956\) | 1.40220e12 | + | 2.42868e12i | 0.0542937 | + | 0.0940395i | ||||
\(957\) | −1.56161e13 | −0.601822 | ||||||||
\(958\) | −1.99623e12 | − | 3.45757e12i | −0.0765712 | − | 0.132625i | ||||
\(959\) | 5.56739e12 | − | 9.64301e12i | 0.212553 | − | 0.368153i | ||||
\(960\) | −1.30534e13 | + | 2.26091e13i | −0.496023 | + | 0.859137i | ||||
\(961\) | −1.09272e13 | + | 1.89264e13i | −0.413288 | + | 0.715836i | ||||
\(962\) | 3.26974e12 | 0.123091 | ||||||||
\(963\) | −6.18412e13 | + | 1.07112e14i | −2.31718 | + | 4.01347i | ||||
\(964\) | −5.54310e12 | + | 9.60094e12i | −0.206731 | + | 0.358069i | ||||
\(965\) | 1.29065e13 | + | 2.23547e13i | 0.479109 | + | 0.829842i | ||||
\(966\) | −2.37660e12 | − | 4.11639e12i | −0.0878130 | − | 0.152097i | ||||
\(967\) | 2.03756e13 | 0.749361 | 0.374681 | − | 0.927154i | \(-0.377752\pi\) | ||||
0.374681 | + | 0.927154i | \(0.377752\pi\) | |||||||
\(968\) | −1.81108e12 | −0.0662978 | ||||||||
\(969\) | −1.10786e12 | − | 1.91886e12i | −0.0403670 | − | 0.0699176i | ||||
\(970\) | −1.81388e12 | − | 3.14173e12i | −0.0657862 | − | 0.113945i | ||||
\(971\) | 1.84926e12 | − | 3.20301e12i | 0.0667591 | − | 0.115630i | −0.830714 | − | 0.556700i | \(-0.812067\pi\) |
0.897473 | + | 0.441069i | \(0.145401\pi\) | |||||||
\(972\) | 3.31964e13 | − | 5.74979e13i | 1.19287 | − | 2.06611i | ||||
\(973\) | 1.59003e13 | 0.568719 | ||||||||
\(974\) | 2.71826e12 | − | 4.70817e12i | 0.0967778 | − | 0.167624i | ||||
\(975\) | 1.42101e13 | − | 2.46126e13i | 0.503589 | − | 0.872241i | ||||
\(976\) | 1.28804e13 | − | 2.23094e13i | 0.454364 | − | 0.786982i | ||||
\(977\) | −1.28566e13 | − | 2.22683e13i | −0.451440 | − | 0.781917i | 0.547036 | − | 0.837109i | \(-0.315756\pi\) |
−0.998476 | + | 0.0551920i | \(0.982423\pi\) | |||||||
\(978\) | 2.30058e13 | 0.804105 | ||||||||
\(979\) | −1.22869e12 | − | 2.12816e12i | −0.0427486 | − | 0.0740427i | ||||
\(980\) | 8.90956e12 | − | 1.54318e13i | 0.308560 | − | 0.534441i | ||||
\(981\) | −9.71904e13 | −3.35052 | ||||||||
\(982\) | −1.34736e12 | + | 2.33369e12i | −0.0462360 | + | 0.0800832i | ||||
\(983\) | 2.83763e13 | + | 4.91492e13i | 0.969315 | + | 1.67890i | 0.697546 | + | 0.716540i | \(0.254275\pi\) |
0.271769 | + | 0.962363i | \(0.412391\pi\) | |||||||
\(984\) | 1.17101e13 | + | 2.02824e13i | 0.398182 | + | 0.689671i | ||||
\(985\) | −2.84881e13 | −0.964274 | ||||||||
\(986\) | −7.22663e10 | − | 1.25169e11i | −0.00243495 | − | 0.00421746i | ||||
\(987\) | −5.22060e11 | −0.0175103 | ||||||||
\(988\) | −3.31393e13 | −1.10646 | ||||||||
\(989\) | −2.42786e13 | + | 9.55037e12i | −0.806938 | + | 0.317422i | ||||
\(990\) | 1.42756e13 | 0.472318 | ||||||||
\(991\) | 3.61646e13 | 1.19111 | 0.595555 | − | 0.803314i | \(-0.296932\pi\) | ||||
0.595555 | + | 0.803314i | \(0.296932\pi\) | |||||||
\(992\) | −1.40773e13 | − | 2.43825e13i | −0.461547 | − | 0.799422i | ||||
\(993\) | −6.21186e13 | −2.02745 | ||||||||
\(994\) | 2.80216e12 | + | 4.85348e12i | 0.0910445 | + | 0.157694i | ||||
\(995\) | 8.17539e12 | + | 1.41602e13i | 0.264426 | + | 0.458000i | ||||
\(996\) | 3.39799e13 | − | 5.88549e13i | 1.09410 | − | 1.89503i | ||||
\(997\) | −1.98303e13 | −0.635625 | −0.317812 | − | 0.948154i | \(-0.602948\pi\) | ||||
−0.317812 | + | 0.948154i | \(0.602948\pi\) | |||||||
\(998\) | −1.19466e12 | + | 2.06922e12i | −0.0381204 | + | 0.0660265i | ||||
\(999\) | 1.44118e13 | + | 2.49620e13i | 0.457798 | + | 0.792929i |
(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 | 43.10.c.a.36.16 | yes | 64 | |
43.6 | even | 3 | inner | 43.10.c.a.6.16 | ✓ | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.c.a.6.16 | ✓ | 64 | 43.6 | even | 3 | inner | |
43.10.c.a.36.16 | yes | 64 | 1.1 | even | 1 | trivial |