Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,10,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(8.24057337862\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.10.e.a.5.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −20.7667 | − | 8.98584i | −0.917766 | − | 0.397122i | ||||
\(3\) | 155.975 | + | 155.975i | 1.11176 | + | 1.11176i | 0.992913 | + | 0.118842i | \(0.0379182\pi\) |
0.118842 | + | 0.992913i | \(0.462082\pi\) | |||||||
\(4\) | 350.509 | + | 373.212i | 0.684588 | + | 0.728930i | ||||
\(5\) | −404.055 | + | 404.055i | −0.289119 | + | 0.289119i | −0.836732 | − | 0.547613i | \(-0.815537\pi\) |
0.547613 | + | 0.836732i | \(0.315537\pi\) | |||||||
\(6\) | −1837.51 | − | 4640.65i | −0.578829 | − | 1.46183i | ||||
\(7\) | − | 637.759i | − | 0.100396i | −0.998739 | − | 0.0501978i | \(-0.984015\pi\) | ||
0.998739 | − | 0.0501978i | \(-0.0159852\pi\) | |||||||
\(8\) | −3925.29 | − | 10900.0i | −0.338818 | − | 0.940852i | ||||
\(9\) | 28973.4i | 1.47200i | ||||||||
\(10\) | 12021.7 | − | 4760.11i | 0.380158 | − | 0.150528i | ||||
\(11\) | −51449.9 | + | 51449.9i | −1.05954 | + | 1.05954i | −0.0614283 | + | 0.998111i | \(0.519566\pi\) |
−0.998111 | + | 0.0614283i | \(0.980434\pi\) | |||||||
\(12\) | −3541.06 | + | 112882.i | −0.0492967 | + | 1.57149i | ||||
\(13\) | 75573.0 | + | 75573.0i | 0.733874 | + | 0.733874i | 0.971385 | − | 0.237511i | \(-0.0763316\pi\) |
−0.237511 | + | 0.971385i | \(0.576332\pi\) | |||||||
\(14\) | −5730.80 | + | 13244.1i | −0.0398693 | + | 0.0921397i | ||||
\(15\) | −126045. | −0.642858 | ||||||||
\(16\) | −16430.5 | + | 261629.i | −0.0626773 | + | 0.998034i | ||||
\(17\) | −6136.34 | −0.0178193 | −0.00890963 | − | 0.999960i | \(-0.502836\pi\) | ||||
−0.00890963 | + | 0.999960i | \(0.502836\pi\) | |||||||
\(18\) | 260350. | − | 601680.i | 0.584563 | − | 1.35095i | ||||
\(19\) | −618458. | − | 618458.i | −1.08873 | − | 1.08873i | −0.995660 | − | 0.0930664i | \(-0.970333\pi\) |
−0.0930664 | − | 0.995660i | \(-0.529667\pi\) | |||||||
\(20\) | −292424. | − | 9173.17i | −0.408674 | − | 0.0128199i | ||||
\(21\) | 99474.4 | − | 99474.4i | 0.111615 | − | 0.111615i | ||||
\(22\) | 1.53076e6 | − | 606122.i | 1.39318 | − | 0.551643i | ||||
\(23\) | 2.24096e6i | 1.66978i | 0.550416 | + | 0.834891i | \(0.314469\pi\) | ||||
−0.550416 | + | 0.834891i | \(0.685531\pi\) | |||||||
\(24\) | 1.08788e6 | − | 2.31237e6i | 0.669314 | − | 1.42268i | ||||
\(25\) | 1.62660e6i | 0.832821i | ||||||||
\(26\) | −890312. | − | 2.24849e6i | −0.382087 | − | 0.964962i | ||||
\(27\) | −1.44907e6 | + | 1.44907e6i | −0.524748 | + | 0.524748i | ||||
\(28\) | 238019. | − | 223540.i | 0.0731814 | − | 0.0687297i | ||||
\(29\) | −2.13077e6 | − | 2.13077e6i | −0.559429 | − | 0.559429i | 0.369716 | − | 0.929145i | \(-0.379455\pi\) |
−0.929145 | + | 0.369716i | \(0.879455\pi\) | |||||||
\(30\) | 2.61754e6 | + | 1.13262e6i | 0.589993 | + | 0.255293i | ||||
\(31\) | 7.58926e6 | 1.47595 | 0.737976 | − | 0.674827i | \(-0.235782\pi\) | ||||
0.737976 | + | 0.674827i | \(0.235782\pi\) | |||||||
\(32\) | 2.69216e6 | − | 5.28551e6i | 0.453864 | − | 0.891071i | ||||
\(33\) | −1.60498e7 | −2.35590 | ||||||||
\(34\) | 127431. | + | 55140.2i | 0.0163539 | + | 0.00707642i | ||||
\(35\) | 257690. | + | 257690.i | 0.0290263 | + | 0.0290263i | ||||
\(36\) | −1.08132e7 | + | 1.01554e7i | −1.07298 | + | 1.00771i | ||||
\(37\) | 1.13688e7 | − | 1.13688e7i | 0.997253 | − | 0.997253i | −0.00274356 | − | 0.999996i | \(-0.500873\pi\) |
0.999996 | + | 0.00274356i | \(0.000873304\pi\) | |||||||
\(38\) | 7.28594e6 | + | 1.84007e7i | 0.566839 | + | 1.43155i | ||||
\(39\) | 2.35750e7i | 1.63178i | ||||||||
\(40\) | 5.99023e6 | + | 2.81817e6i | 0.369976 | + | 0.174059i | ||||
\(41\) | − | 5.78849e6i | − | 0.319917i | −0.987124 | − | 0.159959i | \(-0.948864\pi\) | ||
0.987124 | − | 0.159959i | \(-0.0511361\pi\) | |||||||
\(42\) | −2.95961e6 | + | 1.17189e6i | −0.146762 | + | 0.0581119i | ||||
\(43\) | −2.45770e6 | + | 2.45770e6i | −0.109628 | + | 0.109628i | −0.759793 | − | 0.650165i | \(-0.774700\pi\) |
0.650165 | + | 0.759793i | \(0.274700\pi\) | |||||||
\(44\) | −3.72354e7 | − | 1.16805e6i | −1.49768 | − | 0.0469814i | ||||
\(45\) | −1.17068e7 | − | 1.17068e7i | −0.425582 | − | 0.425582i | ||||
\(46\) | 2.01369e7 | − | 4.65374e7i | 0.663107 | − | 1.53247i | ||||
\(47\) | 2.88187e7 | 0.861458 | 0.430729 | − | 0.902481i | \(-0.358256\pi\) | ||||
0.430729 | + | 0.902481i | \(0.358256\pi\) | |||||||
\(48\) | −4.33702e7 | + | 3.82448e7i | −1.17925 | + | 1.03989i | ||||
\(49\) | 3.99469e7 | 0.989921 | ||||||||
\(50\) | 1.46164e7 | − | 3.37791e7i | 0.330731 | − | 0.764335i | ||||
\(51\) | −957116. | − | 957116.i | −0.0198106 | − | 0.0198106i | ||||
\(52\) | −1.71571e6 | + | 5.46938e7i | −0.0325409 | + | 1.03734i | ||||
\(53\) | 1.67042e7 | − | 1.67042e7i | 0.290794 | − | 0.290794i | −0.546600 | − | 0.837394i | \(-0.684078\pi\) |
0.837394 | + | 0.546600i | \(0.184078\pi\) | |||||||
\(54\) | 4.31133e7 | − | 1.70712e7i | 0.689985 | − | 0.273207i | ||||
\(55\) | − | 4.15772e7i | − | 0.612665i | ||||||
\(56\) | −6.95156e6 | + | 2.50339e6i | −0.0944575 | + | 0.0340159i | ||||
\(57\) | − | 1.92928e8i | − | 2.42079i | ||||||
\(58\) | 2.51022e7 | + | 6.33957e7i | 0.291264 | + | 0.735587i | ||||
\(59\) | −2.34131e7 | + | 2.34131e7i | −0.251551 | + | 0.251551i | −0.821606 | − | 0.570056i | \(-0.806922\pi\) |
0.570056 | + | 0.821606i | \(0.306922\pi\) | |||||||
\(60\) | −4.41800e7 | − | 4.70415e7i | −0.440093 | − | 0.468598i | ||||
\(61\) | 6.07395e6 | + | 6.07395e6i | 0.0561677 | + | 0.0561677i | 0.734633 | − | 0.678465i | \(-0.237354\pi\) |
−0.678465 | + | 0.734633i | \(0.737354\pi\) | |||||||
\(62\) | −1.57604e8 | − | 6.81959e7i | −1.35458 | − | 0.586132i | ||||
\(63\) | 1.84780e7 | 0.147782 | ||||||||
\(64\) | −1.03402e8 | + | 8.55712e7i | −0.770405 | + | 0.637555i | ||||
\(65\) | −6.10713e7 | −0.424353 | ||||||||
\(66\) | 3.33301e8 | + | 1.44221e8i | 2.16216 | + | 0.935579i | ||||
\(67\) | 2.06996e8 | + | 2.06996e8i | 1.25494 | + | 1.25494i | 0.953476 | + | 0.301468i | \(0.0974768\pi\) |
0.301468 | + | 0.953476i | \(0.402523\pi\) | |||||||
\(68\) | −2.15085e6 | − | 2.29016e6i | −0.0121989 | − | 0.0129890i | ||||
\(69\) | −3.49534e8 | + | 3.49534e8i | −1.85639 | + | 1.85639i | ||||
\(70\) | −3.03580e6 | − | 7.66692e6i | −0.0151123 | − | 0.0381663i | ||||
\(71\) | 1.82017e8i | 0.850059i | 0.905179 | + | 0.425030i | \(0.139736\pi\) | ||||
−0.905179 | + | 0.425030i | \(0.860264\pi\) | |||||||
\(72\) | 3.15810e8 | − | 1.13729e8i | 1.38493 | − | 0.498740i | ||||
\(73\) | − | 1.34855e8i | − | 0.555793i | −0.960611 | − | 0.277897i | \(-0.910363\pi\) | ||
0.960611 | − | 0.277897i | \(-0.0896373\pi\) | |||||||
\(74\) | −3.38249e8 | + | 1.33933e8i | −1.31128 | + | 0.519214i | ||||
\(75\) | −2.53709e8 | + | 2.53709e8i | −0.925893 | + | 0.925893i | ||||
\(76\) | 1.40407e7 | − | 4.47591e8i | 0.0482756 | − | 1.53893i | ||||
\(77\) | 3.28126e7 | + | 3.28126e7i | 0.106373 | + | 0.106373i | ||||
\(78\) | 2.11841e8 | − | 4.89574e8i | 0.648014 | − | 1.49759i | ||||
\(79\) | 2.23520e8 | 0.645647 | 0.322824 | − | 0.946459i | \(-0.395368\pi\) | ||||
0.322824 | + | 0.946459i | \(0.395368\pi\) | |||||||
\(80\) | −9.90736e7 | − | 1.12351e8i | −0.270429 | − | 0.306671i | ||||
\(81\) | 1.18247e8 | 0.305216 | ||||||||
\(82\) | −5.20144e7 | + | 1.20208e8i | −0.127046 | + | 0.293609i | ||||
\(83\) | −5.91587e8 | − | 5.91587e8i | −1.36825 | − | 1.36825i | −0.862928 | − | 0.505326i | \(-0.831372\pi\) |
−0.505326 | − | 0.862928i | \(-0.668628\pi\) | |||||||
\(84\) | 7.19917e7 | + | 2.25834e6i | 0.157770 | + | 0.00494918i | ||||
\(85\) | 2.47942e6 | − | 2.47942e6i | 0.00515188 | − | 0.00515188i | ||||
\(86\) | 7.31227e7 | − | 2.89537e7i | 0.144148 | − | 0.0570770i | ||||
\(87\) | − | 6.64693e8i | − | 1.24390i | ||||||
\(88\) | 7.62759e8 | + | 3.58848e8i | 1.35586 | + | 0.637879i | ||||
\(89\) | − | 5.41982e7i | − | 0.0915650i | −0.998951 | − | 0.0457825i | \(-0.985422\pi\) | ||
0.998951 | − | 0.0457825i | \(-0.0145781\pi\) | |||||||
\(90\) | 1.37916e8 | + | 3.48308e8i | 0.221577 | + | 0.559593i | ||||
\(91\) | 4.81973e7 | − | 4.81973e7i | 0.0736778 | − | 0.0736778i | ||||
\(92\) | −8.36355e8 | + | 7.85479e8i | −1.21715 | + | 1.14311i | ||||
\(93\) | 1.18373e9 | + | 1.18373e9i | 1.64090 | + | 1.64090i | ||||
\(94\) | −5.98469e8 | − | 2.58960e8i | −0.790617 | − | 0.342104i | ||||
\(95\) | 4.99782e8 | 0.629542 | ||||||||
\(96\) | 1.24432e9 | − | 4.04498e8i | 1.49524 | − | 0.486067i | ||||
\(97\) | −1.45634e8 | −0.167029 | −0.0835143 | − | 0.996507i | \(-0.526614\pi\) | ||||
−0.0835143 | + | 0.996507i | \(0.526614\pi\) | |||||||
\(98\) | −8.29564e8 | − | 3.58956e8i | −0.908515 | − | 0.393119i | ||||
\(99\) | −1.49068e9 | − | 1.49068e9i | −1.55964 | − | 1.55964i | ||||
\(100\) | −6.07068e8 | + | 5.70140e8i | −0.607068 | + | 0.570140i | ||||
\(101\) | 5.00427e8 | − | 5.00427e8i | 0.478514 | − | 0.478514i | −0.426143 | − | 0.904656i | \(-0.640128\pi\) |
0.904656 | + | 0.426143i | \(0.140128\pi\) | |||||||
\(102\) | 1.12756e7 | + | 2.84766e7i | 0.0103143 | + | 0.0260488i | ||||
\(103\) | 3.23155e8i | 0.282907i | 0.989945 | + | 0.141454i | \(0.0451776\pi\) | ||||
−0.989945 | + | 0.141454i | \(0.954822\pi\) | |||||||
\(104\) | 5.27099e8 | − | 1.12039e9i | 0.441817 | − | 0.939116i | ||||
\(105\) | 8.03863e7i | 0.0645402i | ||||||||
\(106\) | −4.96993e8 | + | 1.96790e8i | −0.382361 | + | 0.151400i | ||||
\(107\) | −7.78842e8 | + | 7.78842e8i | −0.574411 | + | 0.574411i | −0.933358 | − | 0.358947i | \(-0.883136\pi\) |
0.358947 | + | 0.933358i | \(0.383136\pi\) | |||||||
\(108\) | −1.04872e9 | − | 3.28978e7i | −0.741741 | − | 0.0232680i | ||||
\(109\) | 6.69545e8 | + | 6.69545e8i | 0.454319 | + | 0.454319i | 0.896785 | − | 0.442466i | \(-0.145896\pi\) |
−0.442466 | + | 0.896785i | \(0.645896\pi\) | |||||||
\(110\) | −3.73606e8 | + | 8.63420e8i | −0.243303 | + | 0.562283i | ||||
\(111\) | 3.54648e9 | 2.21740 | ||||||||
\(112\) | 1.66856e8 | + | 1.04787e7i | 0.100198 | + | 0.00629253i | ||||
\(113\) | 2.57348e8 | 0.148480 | 0.0742401 | − | 0.997240i | \(-0.476347\pi\) | ||||
0.0742401 | + | 0.997240i | \(0.476347\pi\) | |||||||
\(114\) | −1.73362e9 | + | 4.00647e9i | −0.961350 | + | 2.22172i | ||||
\(115\) | −9.05473e8 | − | 9.05473e8i | −0.482765 | − | 0.482765i | ||||
\(116\) | 4.83743e7 | − | 1.54208e9i | 0.0248058 | − | 0.790763i | ||||
\(117\) | −2.18960e9 | + | 2.18960e9i | −1.08026 | + | 1.08026i | ||||
\(118\) | 6.96599e8 | − | 2.75826e8i | 0.330761 | − | 0.130968i | ||||
\(119\) | 3.91351e6i | 0.00178898i | ||||||||
\(120\) | 4.94763e8 | + | 1.37389e9i | 0.217812 | + | 0.604834i | ||||
\(121\) | − | 2.93623e9i | − | 1.24525i | ||||||
\(122\) | −7.15561e7 | − | 1.80715e8i | −0.0292434 | − | 0.0738542i | ||||
\(123\) | 9.02859e8 | − | 9.02859e8i | 0.355670 | − | 0.355670i | ||||
\(124\) | 2.66011e9 | + | 2.83240e9i | 1.01042 | + | 1.07586i | ||||
\(125\) | −1.44641e9 | − | 1.44641e9i | −0.529902 | − | 0.529902i | ||||
\(126\) | −3.83727e8 | − | 1.66041e8i | −0.135630 | − | 0.0586876i | ||||
\(127\) | −1.07093e8 | −0.0365294 | −0.0182647 | − | 0.999833i | \(-0.505814\pi\) | ||||
−0.0182647 | + | 0.999833i | \(0.505814\pi\) | |||||||
\(128\) | 2.91624e9 | − | 8.47875e8i | 0.960238 | − | 0.279182i | ||||
\(129\) | −7.66679e8 | −0.243758 | ||||||||
\(130\) | 1.26825e9 | + | 5.48777e8i | 0.389457 | + | 0.168520i | ||||
\(131\) | 1.68002e9 | + | 1.68002e9i | 0.498418 | + | 0.498418i | 0.910945 | − | 0.412527i | \(-0.135354\pi\) |
−0.412527 | + | 0.910945i | \(0.635354\pi\) | |||||||
\(132\) | −5.62560e9 | − | 5.98997e9i | −1.61282 | − | 1.71728i | ||||
\(133\) | −3.94427e8 | + | 3.94427e8i | −0.109303 | + | 0.109303i | ||||
\(134\) | −2.43858e9 | − | 6.15864e9i | −0.653379 | − | 1.65011i | ||||
\(135\) | − | 1.17101e9i | − | 0.303429i | ||||||
\(136\) | 2.40869e7 | + | 6.68861e7i | 0.00603748 | + | 0.0167653i | ||||
\(137\) | − | 3.21393e9i | − | 0.779460i | −0.920929 | − | 0.389730i | \(-0.872568\pi\) | ||
0.920929 | − | 0.389730i | \(-0.127432\pi\) | |||||||
\(138\) | 1.03995e10 | − | 4.11780e9i | 2.44094 | − | 0.966517i | ||||
\(139\) | −4.38482e9 | + | 4.38482e9i | −0.996289 | + | 0.996289i | −0.999993 | − | 0.00370399i | \(-0.998821\pi\) |
0.00370399 | + | 0.999993i | \(0.498821\pi\) | |||||||
\(140\) | −5.85027e6 | + | 1.86496e8i | −0.00128706 | + | 0.0410291i | ||||
\(141\) | 4.49500e9 | + | 4.49500e9i | 0.957731 | + | 0.957731i | ||||
\(142\) | 1.63557e9 | − | 3.77988e9i | 0.337577 | − | 0.780155i | ||||
\(143\) | −7.77644e9 | −1.55514 | ||||||||
\(144\) | −7.58026e9 | − | 4.76046e8i | −1.46911 | − | 0.0922609i | ||||
\(145\) | 1.72190e9 | 0.323483 | ||||||||
\(146\) | −1.21178e9 | + | 2.80048e9i | −0.220718 | + | 0.510088i | ||||
\(147\) | 6.23071e9 | + | 6.23071e9i | 1.10055 | + | 1.10055i | ||||
\(148\) | 8.22781e9 | + | 2.58102e8i | 1.40963 | + | 0.0442195i | ||||
\(149\) | −3.52488e9 | + | 3.52488e9i | −0.585876 | + | 0.585876i | −0.936512 | − | 0.350636i | \(-0.885965\pi\) |
0.350636 | + | 0.936512i | \(0.385965\pi\) | |||||||
\(150\) | 7.54849e9 | − | 2.98891e9i | 1.21745 | − | 0.482061i | ||||
\(151\) | 1.91339e9i | 0.299507i | 0.988723 | + | 0.149754i | \(0.0478481\pi\) | ||||
−0.988723 | + | 0.149754i | \(0.952152\pi\) | |||||||
\(152\) | −4.31356e9 | + | 9.16881e9i | −0.655450 | + | 1.39321i | ||||
\(153\) | − | 1.77791e8i | − | 0.0262299i | ||||||
\(154\) | −3.86560e8 | − | 9.76257e8i | −0.0553826 | − | 0.139869i | ||||
\(155\) | −3.06648e9 | + | 3.06648e9i | −0.426725 | + | 0.426725i | ||||
\(156\) | −8.79847e9 | + | 8.26325e9i | −1.18945 | + | 1.11709i | ||||
\(157\) | −9.82456e9 | − | 9.82456e9i | −1.29052 | − | 1.29052i | −0.934465 | − | 0.356055i | \(-0.884122\pi\) |
−0.356055 | − | 0.934465i | \(-0.615878\pi\) | |||||||
\(158\) | −4.64178e9 | − | 2.00852e9i | −0.592553 | − | 0.256401i | ||||
\(159\) | 5.21088e9 | 0.646583 | ||||||||
\(160\) | 1.04786e9 | + | 3.22342e9i | 0.126405 | + | 0.388846i | ||||
\(161\) | 1.42919e9 | 0.167639 | ||||||||
\(162\) | −2.45560e9 | − | 1.06255e9i | −0.280117 | − | 0.121208i | ||||
\(163\) | −2.36278e9 | − | 2.36278e9i | −0.262168 | − | 0.262168i | 0.563767 | − | 0.825934i | \(-0.309352\pi\) |
−0.825934 | + | 0.563767i | \(0.809352\pi\) | |||||||
\(164\) | 2.16033e9 | − | 2.02892e9i | 0.233197 | − | 0.219012i | ||||
\(165\) | 6.48500e9 | − | 6.48500e9i | 0.681134 | − | 0.681134i | ||||
\(166\) | 6.96938e9 | + | 1.76012e10i | 0.712374 | + | 1.79910i | ||||
\(167\) | 7.61485e9i | 0.757596i | 0.925479 | + | 0.378798i | \(0.123662\pi\) | ||||
−0.925479 | + | 0.378798i | \(0.876338\pi\) | |||||||
\(168\) | −1.47474e9 | − | 6.93804e8i | −0.142831 | − | 0.0671963i | ||||
\(169\) | 8.18043e8i | 0.0771412i | ||||||||
\(170\) | −7.37691e7 | + | 2.92097e7i | −0.00677414 | + | 0.00268229i | ||||
\(171\) | 1.79188e10 | − | 1.79188e10i | 1.60260 | − | 1.60260i | ||||
\(172\) | −1.77869e9 | − | 5.57965e7i | −0.154961 | − | 0.00486104i | ||||
\(173\) | −4.89598e9 | − | 4.89598e9i | −0.415559 | − | 0.415559i | 0.468111 | − | 0.883670i | \(-0.344935\pi\) |
−0.883670 | + | 0.468111i | \(0.844935\pi\) | |||||||
\(174\) | −5.97283e9 | + | 1.38035e10i | −0.493979 | + | 1.14161i | ||||
\(175\) | 1.03738e9 | 0.0836116 | ||||||||
\(176\) | −1.26154e10 | − | 1.43061e10i | −0.991048 | − | 1.12387i | ||||
\(177\) | −7.30372e9 | −0.559325 | ||||||||
\(178\) | −4.87016e8 | + | 1.12552e9i | −0.0363625 | + | 0.0840352i | ||||
\(179\) | 5.13309e9 | + | 5.13309e9i | 0.373715 | + | 0.373715i | 0.868828 | − | 0.495113i | \(-0.164873\pi\) |
−0.495113 | + | 0.868828i | \(0.664873\pi\) | |||||||
\(180\) | 2.65778e8 | − | 8.47250e9i | 0.0188709 | − | 0.601568i | ||||
\(181\) | 1.28262e10 | − | 1.28262e10i | 0.888272 | − | 0.888272i | −0.106085 | − | 0.994357i | \(-0.533832\pi\) |
0.994357 | + | 0.106085i | \(0.0338316\pi\) | |||||||
\(182\) | −1.43399e9 | + | 5.67804e8i | −0.0968780 | + | 0.0383599i | ||||
\(183\) | 1.89477e9i | 0.124890i | ||||||||
\(184\) | 2.44265e10 | − | 8.79643e9i | 1.57102 | − | 0.565752i | ||||
\(185\) | 9.18722e9i | 0.576648i | ||||||||
\(186\) | −1.39454e10 | − | 3.52191e10i | −0.854323 | − | 2.15759i | ||||
\(187\) | 3.15714e8 | − | 3.15714e8i | 0.0188802 | − | 0.0188802i | ||||
\(188\) | 1.01012e10 | + | 1.07555e10i | 0.589744 | + | 0.627943i | ||||
\(189\) | 9.24154e8 | + | 9.24154e8i | 0.0526825 | + | 0.0526825i | ||||
\(190\) | −1.03788e10 | − | 4.49096e9i | −0.577772 | − | 0.250005i | ||||
\(191\) | 9.39498e9 | 0.510794 | 0.255397 | − | 0.966836i | \(-0.417794\pi\) | ||||
0.255397 | + | 0.966836i | \(0.417794\pi\) | |||||||
\(192\) | −2.94751e10 | − | 2.78115e9i | −1.56531 | − | 0.147696i | ||||
\(193\) | −2.14573e10 | −1.11318 | −0.556592 | − | 0.830786i | \(-0.687891\pi\) | ||||
−0.556592 | + | 0.830786i | \(0.687891\pi\) | |||||||
\(194\) | 3.02434e9 | + | 1.30865e9i | 0.153293 | + | 0.0663307i | ||||
\(195\) | −9.52560e9 | − | 9.52560e9i | −0.471777 | − | 0.471777i | ||||
\(196\) | 1.40017e10 | + | 1.49087e10i | 0.677688 | + | 0.721583i | ||||
\(197\) | 2.34130e10 | − | 2.34130e10i | 1.10754 | − | 1.10754i | 0.114065 | − | 0.993473i | \(-0.463613\pi\) |
0.993473 | − | 0.114065i | \(-0.0363874\pi\) | |||||||
\(198\) | 1.75614e10 | + | 4.43514e10i | 0.812018 | + | 2.05075i | ||||
\(199\) | − | 1.82496e10i | − | 0.824925i | −0.910975 | − | 0.412462i | \(-0.864669\pi\) | ||
0.910975 | − | 0.412462i | \(-0.135331\pi\) | |||||||
\(200\) | 1.77300e10 | − | 6.38489e9i | 0.783561 | − | 0.282175i | ||||
\(201\) | 6.45723e10i | 2.79038i | ||||||||
\(202\) | −1.48889e10 | + | 5.89544e9i | −0.629192 | + | 0.249135i | ||||
\(203\) | −1.35892e9 | + | 1.35892e9i | −0.0561643 | + | 0.0561643i | ||||
\(204\) | 2.17292e7 | − | 6.92685e8i | 0.000878431 | − | 0.0280027i | ||||
\(205\) | 2.33887e9 | + | 2.33887e9i | 0.0924940 | + | 0.0924940i | ||||
\(206\) | 2.90382e9 | − | 6.71086e9i | 0.112349 | − | 0.259642i | ||||
\(207\) | −6.49283e10 | −2.45792 | ||||||||
\(208\) | −2.10137e10 | + | 1.85303e10i | −0.778428 | + | 0.686434i | ||||
\(209\) | 6.36391e10 | 2.30710 | ||||||||
\(210\) | 7.22339e8 | − | 1.66936e9i | 0.0256303 | − | 0.0592328i | ||||
\(211\) | −1.11750e10 | − | 1.11750e10i | −0.388129 | − | 0.388129i | 0.485891 | − | 0.874019i | \(-0.338495\pi\) |
−0.874019 | + | 0.485891i | \(0.838495\pi\) | |||||||
\(212\) | 1.20892e10 | + | 3.79232e8i | 0.411042 | + | 0.0128942i | ||||
\(213\) | −2.83901e10 | + | 2.83901e10i | −0.945058 | + | 0.945058i | ||||
\(214\) | 2.31725e10 | − | 9.17541e9i | 0.755286 | − | 0.299064i | ||||
\(215\) | − | 1.98609e9i | − | 0.0633908i | ||||||
\(216\) | 2.14828e10 | + | 1.01068e10i | 0.671505 | + | 0.315916i | ||||
\(217\) | − | 4.84012e9i | − | 0.148179i | ||||||
\(218\) | −7.88780e9 | − | 1.99207e10i | −0.236538 | − | 0.597378i | ||||
\(219\) | 2.10340e10 | − | 2.10340e10i | 0.617906 | − | 0.617906i | ||||
\(220\) | 1.55171e10 | − | 1.45732e10i | 0.446590 | − | 0.419424i | ||||
\(221\) | −4.63742e8 | − | 4.63742e8i | −0.0130771 | − | 0.0130771i | ||||
\(222\) | −7.36486e10 | − | 3.18681e10i | −2.03506 | − | 0.880579i | ||||
\(223\) | −5.71124e10 | −1.54653 | −0.773265 | − | 0.634083i | \(-0.781378\pi\) | ||||
−0.773265 | + | 0.634083i | \(0.781378\pi\) | |||||||
\(224\) | −3.37088e9 | − | 1.71695e9i | −0.0894597 | − | 0.0455660i | ||||
\(225\) | −4.71282e10 | −1.22591 | ||||||||
\(226\) | −5.34427e9 | − | 2.31249e9i | −0.136270 | − | 0.0589647i | ||||
\(227\) | 2.97875e10 | + | 2.97875e10i | 0.744591 | + | 0.744591i | 0.973458 | − | 0.228867i | \(-0.0735020\pi\) |
−0.228867 | + | 0.973458i | \(0.573502\pi\) | |||||||
\(228\) | 7.20030e10 | − | 6.76230e10i | 1.76459 | − | 1.65725i | ||||
\(229\) | −1.93388e10 | + | 1.93388e10i | −0.464698 | + | 0.464698i | −0.900192 | − | 0.435494i | \(-0.856574\pi\) |
0.435494 | + | 0.900192i | \(0.356574\pi\) | |||||||
\(230\) | 1.06672e10 | + | 2.69401e10i | 0.251349 | + | 0.634781i | ||||
\(231\) | 1.02359e10i | 0.236522i | ||||||||
\(232\) | −1.48615e10 | + | 3.15892e10i | −0.336795 | + | 0.715885i | ||||
\(233\) | 5.43176e10i | 1.20737i | 0.797224 | + | 0.603683i | \(0.206301\pi\) | ||||
−0.797224 | + | 0.603683i | \(0.793699\pi\) | |||||||
\(234\) | 6.51462e10 | − | 2.57953e10i | 1.42042 | − | 0.562432i | ||||
\(235\) | −1.16444e10 | + | 1.16444e10i | −0.249064 | + | 0.249064i | ||||
\(236\) | −1.69446e10 | − | 5.31543e8i | −0.355571 | − | 0.0111541i | ||||
\(237\) | 3.48636e10 | + | 3.48636e10i | 0.717802 | + | 0.717802i | ||||
\(238\) | 3.51661e7 | − | 8.12705e7i | 0.000710442 | − | 0.00164186i | ||||
\(239\) | 5.81673e10 | 1.15316 | 0.576579 | − | 0.817042i | \(-0.304387\pi\) | ||||
0.576579 | + | 0.817042i | \(0.304387\pi\) | |||||||
\(240\) | 2.07098e9 | − | 3.29770e10i | 0.0402926 | − | 0.641594i | ||||
\(241\) | 3.28109e10 | 0.626529 | 0.313265 | − | 0.949666i | \(-0.398577\pi\) | ||||
0.313265 | + | 0.949666i | \(0.398577\pi\) | |||||||
\(242\) | −2.63845e10 | + | 6.09758e10i | −0.494516 | + | 1.14285i | ||||
\(243\) | 4.69655e10 | + | 4.69655e10i | 0.864074 | + | 0.864074i | ||||
\(244\) | −1.37895e8 | + | 4.39585e9i | −0.00249055 | + | 0.0793941i | ||||
\(245\) | −1.61407e10 | + | 1.61407e10i | −0.286204 | + | 0.286204i | ||||
\(246\) | −2.68623e10 | + | 1.06364e10i | −0.467666 | + | 0.185177i | ||||
\(247\) | − | 9.34773e10i | − | 1.59798i | ||||||
\(248\) | −2.97900e10 | − | 8.27229e10i | −0.500079 | − | 1.38865i | ||||
\(249\) | − | 1.84545e11i | − | 3.04233i | ||||||
\(250\) | 1.70399e10 | + | 4.30343e10i | 0.275891 | + | 0.696762i | ||||
\(251\) | 5.43489e9 | − | 5.43489e9i | 0.0864289 | − | 0.0864289i | −0.662571 | − | 0.748999i | \(-0.730535\pi\) |
0.748999 | + | 0.662571i | \(0.230535\pi\) | |||||||
\(252\) | 6.47672e9 | + | 6.89622e9i | 0.101170 | + | 0.107723i | ||||
\(253\) | −1.15297e11 | − | 1.15297e11i | −1.76920 | − | 1.76920i | ||||
\(254\) | 2.22396e9 | + | 9.62317e8i | 0.0335254 | + | 0.0145066i | ||||
\(255\) | 7.73456e8 | 0.0114553 | ||||||||
\(256\) | −6.81796e10 | − | 8.59736e9i | −0.992143 | − | 0.125108i | ||||
\(257\) | 5.27576e9 | 0.0754373 | 0.0377187 | − | 0.999288i | \(-0.487991\pi\) | ||||
0.0377187 | + | 0.999288i | \(0.487991\pi\) | |||||||
\(258\) | 1.59214e10 | + | 6.88925e9i | 0.223713 | + | 0.0968018i | ||||
\(259\) | −7.25052e9 | − | 7.25052e9i | −0.100120 | − | 0.100120i | ||||
\(260\) | −2.14061e10 | − | 2.27926e10i | −0.290507 | − | 0.309324i | ||||
\(261\) | 6.17355e10 | − | 6.17355e10i | 0.823480 | − | 0.823480i | ||||
\(262\) | −1.97921e10 | − | 4.99849e10i | −0.259499 | − | 0.655364i | ||||
\(263\) | 4.09833e10i | 0.528210i | 0.964494 | + | 0.264105i | \(0.0850765\pi\) | ||||
−0.964494 | + | 0.264105i | \(0.914923\pi\) | |||||||
\(264\) | 6.30000e10 | + | 1.74943e11i | 0.798221 | + | 2.21655i | ||||
\(265\) | 1.34989e10i | 0.168148i | ||||||||
\(266\) | 1.17352e10 | − | 4.64667e9i | 0.143722 | − | 0.0569082i | ||||
\(267\) | 8.45356e9 | − | 8.45356e9i | 0.101798 | − | 0.101798i | ||||
\(268\) | −4.69937e9 | + | 1.49807e11i | −0.0556459 | + | 1.77389i | ||||
\(269\) | 6.91982e10 | + | 6.91982e10i | 0.805767 | + | 0.805767i | 0.983990 | − | 0.178223i | \(-0.0570348\pi\) |
−0.178223 | + | 0.983990i | \(0.557035\pi\) | |||||||
\(270\) | −1.05225e10 | + | 2.43179e10i | −0.120498 | + | 0.278477i | ||||
\(271\) | 1.32131e11 | 1.48813 | 0.744066 | − | 0.668106i | \(-0.232895\pi\) | ||||
0.744066 | + | 0.668106i | \(0.232895\pi\) | |||||||
\(272\) | 1.00823e8 | − | 1.60544e9i | 0.00111686 | − | 0.0177842i | ||||
\(273\) | 1.50351e10 | 0.163823 | ||||||||
\(274\) | −2.88799e10 | + | 6.67426e10i | −0.309541 | + | 0.715362i | ||||
\(275\) | −8.36886e10 | − | 8.36886e10i | −0.882407 | − | 0.882407i | ||||
\(276\) | −2.52965e11 | − | 7.93539e9i | −2.62404 | − | 0.0823147i | ||||
\(277\) | −7.18780e10 | + | 7.18780e10i | −0.733563 | + | 0.733563i | −0.971324 | − | 0.237761i | \(-0.923587\pi\) |
0.237761 | + | 0.971324i | \(0.423587\pi\) | |||||||
\(278\) | 1.30459e11 | − | 5.16568e10i | 1.31001 | − | 0.518712i | ||||
\(279\) | 2.19887e11i | 2.17260i | ||||||||
\(280\) | 1.79731e9 | − | 3.82032e9i | 0.0174748 | − | 0.0371440i | ||||
\(281\) | 2.39922e10i | 0.229558i | 0.993391 | + | 0.114779i | \(0.0366159\pi\) | ||||
−0.993391 | + | 0.114779i | \(0.963384\pi\) | |||||||
\(282\) | −5.29548e10 | − | 1.33737e11i | −0.498637 | − | 1.25931i | ||||
\(283\) | −4.19732e10 | + | 4.19732e10i | −0.388985 | + | 0.388985i | −0.874325 | − | 0.485340i | \(-0.838696\pi\) |
0.485340 | + | 0.874325i | \(0.338696\pi\) | |||||||
\(284\) | −6.79309e10 | + | 6.37986e10i | −0.619633 | + | 0.581941i | ||||
\(285\) | 7.79535e10 | + | 7.79535e10i | 0.699897 | + | 0.699897i | ||||
\(286\) | 1.61491e11 | + | 6.98779e10i | 1.42725 | + | 0.617579i | ||||
\(287\) | −3.69166e9 | −0.0321183 | ||||||||
\(288\) | 1.53139e11 | + | 7.80009e10i | 1.31166 | + | 0.668088i | ||||
\(289\) | −1.18550e11 | −0.999682 | ||||||||
\(290\) | −3.57581e10 | − | 1.54727e10i | −0.296881 | − | 0.128462i | ||||
\(291\) | −2.27153e10 | − | 2.27153e10i | −0.185695 | − | 0.185695i | ||||
\(292\) | 5.03294e10 | − | 4.72678e10i | 0.405134 | − | 0.380490i | ||||
\(293\) | 1.33045e11 | − | 1.33045e11i | 1.05462 | − | 1.05462i | 0.0561987 | − | 0.998420i | \(-0.482102\pi\) |
0.998420 | − | 0.0561987i | \(-0.0178980\pi\) | |||||||
\(294\) | −7.34029e10 | − | 1.85379e11i | −0.572995 | − | 1.44710i | ||||
\(295\) | − | 1.89204e10i | − | 0.145456i | ||||||
\(296\) | −1.68545e11 | − | 7.92937e10i | −1.27615 | − | 0.600380i | ||||
\(297\) | − | 1.49108e11i | − | 1.11198i | ||||||
\(298\) | 1.04874e11 | − | 4.15260e10i | 0.770361 | − | 0.305033i | ||||
\(299\) | −1.69356e11 | + | 1.69356e11i | −1.22541 | + | 1.22541i | ||||
\(300\) | −1.83615e11 | − | 5.75990e9i | −1.30877 | − | 0.0410553i | ||||
\(301\) | 1.56742e9 | + | 1.56742e9i | 0.0110062 | + | 0.0110062i | ||||
\(302\) | 1.71934e10 | − | 3.97348e10i | 0.118941 | − | 0.274878i | ||||
\(303\) | 1.56108e11 | 1.06398 | ||||||||
\(304\) | 1.71968e11 | − | 1.51645e11i | 1.15482 | − | 1.01835i | ||||
\(305\) | −4.90842e9 | −0.0324783 | ||||||||
\(306\) | −1.59760e9 | + | 3.69212e9i | −0.0104165 | + | 0.0240729i | ||||
\(307\) | −7.48985e10 | − | 7.48985e10i | −0.481227 | − | 0.481227i | 0.424296 | − | 0.905523i | \(-0.360522\pi\) |
−0.905523 | + | 0.424296i | \(0.860522\pi\) | |||||||
\(308\) | −7.44937e8 | + | 2.37472e10i | −0.00471673 | + | 0.150361i | ||||
\(309\) | −5.04041e10 | + | 5.04041e10i | −0.314523 | + | 0.314523i | ||||
\(310\) | 9.12356e10 | − | 3.61257e10i | 0.561095 | − | 0.222172i | ||||
\(311\) | − | 1.63063e11i | − | 0.988404i | −0.869347 | − | 0.494202i | \(-0.835460\pi\) | ||
0.869347 | − | 0.494202i | \(-0.164540\pi\) | |||||||
\(312\) | 2.56967e11 | − | 9.25385e10i | 1.53526 | − | 0.552875i | ||||
\(313\) | 9.02742e9i | 0.0531636i | 0.999647 | + | 0.0265818i | \(0.00846224\pi\) | ||||
−0.999647 | + | 0.0265818i | \(0.991538\pi\) | |||||||
\(314\) | 1.15741e11 | + | 2.92305e11i | 0.671901 | + | 1.69689i | ||||
\(315\) | −7.46614e9 | + | 7.46614e9i | −0.0427266 | + | 0.0427266i | ||||
\(316\) | 7.83460e10 | + | 8.34205e10i | 0.442003 | + | 0.470632i | ||||
\(317\) | −1.73760e11 | − | 1.73760e11i | −0.966457 | − | 0.966457i | 0.0329986 | − | 0.999455i | \(-0.489494\pi\) |
−0.999455 | + | 0.0329986i | \(0.989494\pi\) | |||||||
\(318\) | −1.08213e11 | − | 4.68242e10i | −0.593412 | − | 0.256772i | ||||
\(319\) | 2.19256e11 | 1.18548 | ||||||||
\(320\) | 7.20462e9 | − | 7.63556e10i | 0.0384093 | − | 0.407067i | ||||
\(321\) | −2.42960e11 | −1.27721 | ||||||||
\(322\) | −2.96796e10 | − | 1.28425e10i | −0.153853 | − | 0.0665730i | ||||
\(323\) | 3.79507e9 | + | 3.79507e9i | 0.0194003 | + | 0.0194003i | ||||
\(324\) | 4.14467e10 | + | 4.41313e10i | 0.208948 | + | 0.222481i | ||||
\(325\) | −1.22927e11 | + | 1.22927e11i | −0.611185 | + | 0.611185i | ||||
\(326\) | 2.78355e10 | + | 7.02987e10i | 0.136496 | + | 0.344721i | ||||
\(327\) | 2.08865e11i | 1.01018i | ||||||||
\(328\) | −6.30945e10 | + | 2.27215e10i | −0.300995 | + | 0.108394i | ||||
\(329\) | − | 1.83794e10i | − | 0.0864867i | ||||||
\(330\) | −1.92945e11 | + | 7.63987e10i | −0.895614 | + | 0.354628i | ||||
\(331\) | 1.34804e11 | − | 1.34804e11i | 0.617272 | − | 0.617272i | −0.327559 | − | 0.944831i | \(-0.606226\pi\) |
0.944831 | + | 0.327559i | \(0.106226\pi\) | |||||||
\(332\) | 1.34306e10 | − | 4.28144e11i | 0.0606702 | − | 1.93405i | ||||
\(333\) | 3.29391e11 | + | 3.29391e11i | 1.46796 | + | 1.46796i | ||||
\(334\) | 6.84259e10 | − | 1.58135e11i | 0.300858 | − | 0.695295i | ||||
\(335\) | −1.67275e11 | −0.725655 | ||||||||
\(336\) | 2.43909e10 | + | 2.76597e10i | 0.104400 | + | 0.118392i | ||||
\(337\) | 2.58998e11 | 1.09386 | 0.546929 | − | 0.837179i | \(-0.315797\pi\) | ||||
0.546929 | + | 0.837179i | \(0.315797\pi\) | |||||||
\(338\) | 7.35081e9 | − | 1.69880e10i | 0.0306344 | − | 0.0707975i | ||||
\(339\) | 4.01399e10 | + | 4.01399e10i | 0.165074 | + | 0.165074i | ||||
\(340\) | 1.79441e9 | + | 5.62897e7i | 0.00728227 | + | 0.000228441i | ||||
\(341\) | −3.90467e11 | + | 3.90467e11i | −1.56383 | + | 1.56383i | ||||
\(342\) | −5.33129e11 | + | 2.11098e11i | −2.10725 | + | 0.834387i | ||||
\(343\) | − | 5.12123e10i | − | 0.199779i | ||||||
\(344\) | 3.64361e10 | + | 1.71417e10i | 0.140287 | + | 0.0659996i | ||||
\(345\) | − | 2.82462e11i | − | 1.07343i | ||||||
\(346\) | 5.76787e10 | + | 1.45668e11i | 0.216358 | + | 0.546413i | ||||
\(347\) | −2.65285e11 | + | 2.65285e11i | −0.982268 | + | 0.982268i | −0.999846 | − | 0.0175771i | \(-0.994405\pi\) |
0.0175771 | + | 0.999846i | \(0.494405\pi\) | |||||||
\(348\) | 2.48071e11 | − | 2.32981e11i | 0.906714 | − | 0.851557i | ||||
\(349\) | 5.83987e10 | + | 5.83987e10i | 0.210712 | + | 0.210712i | 0.804570 | − | 0.593858i | \(-0.202396\pi\) |
−0.593858 | + | 0.804570i | \(0.702396\pi\) | |||||||
\(350\) | −2.15429e10 | − | 9.32173e9i | −0.0767359 | − | 0.0332040i | ||||
\(351\) | −2.19020e11 | −0.770198 | ||||||||
\(352\) | 1.33428e11 | + | 4.10450e11i | 0.463238 | + | 1.42501i | ||||
\(353\) | 4.27301e11 | 1.46470 | 0.732349 | − | 0.680929i | \(-0.238424\pi\) | ||||
0.732349 | + | 0.680929i | \(0.238424\pi\) | |||||||
\(354\) | 1.51674e11 | + | 6.56301e10i | 0.513330 | + | 0.222120i | ||||
\(355\) | −7.35449e10 | − | 7.35449e10i | −0.245768 | − | 0.245768i | ||||
\(356\) | 2.02274e10 | − | 1.89970e10i | 0.0667445 | − | 0.0626843i | ||||
\(357\) | −6.10409e8 | + | 6.10409e8i | −0.00198890 | + | 0.00198890i | ||||
\(358\) | −6.04721e10 | − | 1.52722e11i | −0.194573 | − | 0.491393i | ||||
\(359\) | − | 5.60497e11i | − | 1.78094i | −0.455045 | − | 0.890469i | \(-0.650377\pi\) | ||
0.455045 | − | 0.890469i | \(-0.349623\pi\) | |||||||
\(360\) | −8.16518e10 | + | 1.73557e11i | −0.256215 | + | 0.544605i | ||||
\(361\) | 4.42292e11i | 1.37065i | ||||||||
\(362\) | −3.81613e11 | + | 1.51104e11i | −1.16798 | + | 0.462473i | ||||
\(363\) | 4.57979e11 | − | 4.57979e11i | 1.38441 | − | 1.38441i | ||||
\(364\) | 3.48814e10 | + | 1.09421e9i | 0.104145 | + | 0.00326697i | ||||
\(365\) | 5.44888e10 | + | 5.44888e10i | 0.160690 | + | 0.160690i | ||||
\(366\) | 1.70261e10 | − | 3.93480e10i | 0.0495964 | − | 0.114619i | ||||
\(367\) | −1.43233e11 | −0.412140 | −0.206070 | − | 0.978537i | \(-0.566068\pi\) | ||||
−0.206070 | + | 0.978537i | \(0.566068\pi\) | |||||||
\(368\) | −5.86300e11 | − | 3.68201e10i | −1.66650 | − | 0.104657i | ||||
\(369\) | 1.67712e11 | 0.470918 | ||||||||
\(370\) | 8.25549e10 | − | 1.90788e11i | 0.229000 | − | 0.529228i | ||||
\(371\) | −1.06533e10 | − | 1.06533e10i | −0.0291944 | − | 0.0291944i | ||||
\(372\) | −2.68741e10 | + | 8.56694e11i | −0.0727595 | + | 2.31944i | ||||
\(373\) | 3.10046e11 | − | 3.10046e11i | 0.829347 | − | 0.829347i | −0.158080 | − | 0.987426i | \(-0.550530\pi\) |
0.987426 | + | 0.158080i | \(0.0505303\pi\) | |||||||
\(374\) | −9.39329e9 | + | 3.71937e9i | −0.0248254 | + | 0.00982987i | ||||
\(375\) | − | 4.51207e11i | − | 1.17824i | ||||||
\(376\) | −1.13122e11 | − | 3.14124e11i | −0.291878 | − | 0.810505i | ||||
\(377\) | − | 3.22057e11i | − | 0.821101i | ||||||
\(378\) | −1.08873e10 | − | 2.74959e10i | −0.0274288 | − | 0.0692715i | ||||
\(379\) | −6.17142e10 | + | 6.17142e10i | −0.153641 | + | 0.153641i | −0.779742 | − | 0.626101i | \(-0.784650\pi\) |
0.626101 | + | 0.779742i | \(0.284650\pi\) | |||||||
\(380\) | 1.75178e11 | + | 1.86525e11i | 0.430977 | + | 0.458892i | ||||
\(381\) | −1.67038e10 | − | 1.67038e10i | −0.0406117 | − | 0.0406117i | ||||
\(382\) | −1.95103e11 | − | 8.44218e10i | −0.468789 | − | 0.202847i | ||||
\(383\) | −2.23761e11 | −0.531361 | −0.265680 | − | 0.964061i | \(-0.585597\pi\) | ||||
−0.265680 | + | 0.964061i | \(0.585597\pi\) | |||||||
\(384\) | 5.87108e11 | + | 3.22614e11i | 1.37793 | + | 0.757168i | ||||
\(385\) | −2.65162e10 | −0.0615089 | ||||||||
\(386\) | 4.45597e11 | + | 1.92812e11i | 1.02164 | + | 0.442070i | ||||
\(387\) | −7.12078e10 | − | 7.12078e10i | −0.161372 | − | 0.161372i | ||||
\(388\) | −5.10462e10 | − | 5.43525e10i | −0.114346 | − | 0.121752i | ||||
\(389\) | 5.20742e11 | − | 5.20742e11i | 1.15305 | − | 1.15305i | 0.167117 | − | 0.985937i | \(-0.446554\pi\) |
0.985937 | − | 0.167117i | \(-0.0534459\pi\) | |||||||
\(390\) | 1.12219e11 | + | 2.83410e11i | 0.245628 | + | 0.620333i | ||||
\(391\) | − | 1.37513e10i | − | 0.0297543i | ||||||
\(392\) | −1.56803e11 | − | 4.35421e11i | −0.335403 | − | 0.931369i | ||||
\(393\) | 5.24083e11i | 1.10824i | ||||||||
\(394\) | −6.96595e11 | + | 2.75824e11i | −1.45629 | + | 0.576633i | ||||
\(395\) | −9.03147e10 | + | 9.03147e10i | −0.186669 | + | 0.186669i | ||||
\(396\) | 3.38425e10 | − | 1.07883e12i | 0.0691566 | − | 2.20458i | ||||
\(397\) | −3.27358e11 | − | 3.27358e11i | −0.661402 | − | 0.661402i | 0.294309 | − | 0.955710i | \(-0.404911\pi\) |
−0.955710 | + | 0.294309i | \(0.904911\pi\) | |||||||
\(398\) | −1.63988e11 | + | 3.78983e11i | −0.327596 | + | 0.757088i | ||||
\(399\) | −1.23041e11 | −0.243037 | ||||||||
\(400\) | −4.25566e11 | − | 2.67259e10i | −0.831184 | − | 0.0521990i | ||||
\(401\) | −2.81583e11 | −0.543822 | −0.271911 | − | 0.962322i | \(-0.587656\pi\) | ||||
−0.271911 | + | 0.962322i | \(0.587656\pi\) | |||||||
\(402\) | 5.80236e11 | − | 1.34095e12i | 1.10812 | − | 2.56092i | ||||
\(403\) | 5.73543e11 | + | 5.73543e11i | 1.08316 | + | 1.08316i | ||||
\(404\) | 3.62169e11 | + | 1.13611e10i | 0.676388 | + | 0.0212179i | ||||
\(405\) | −4.77784e10 | + | 4.77784e10i | −0.0882437 | + | 0.0882437i | ||||
\(406\) | 4.04311e10 | − | 1.60092e10i | 0.0738497 | − | 0.0292416i | ||||
\(407\) | 1.16984e12i | 2.11326i | ||||||||
\(408\) | −6.67560e9 | + | 1.41895e10i | −0.0119267 | + | 0.0253511i | ||||
\(409\) | 6.33122e11i | 1.11875i | 0.828915 | + | 0.559375i | \(0.188959\pi\) | ||||
−0.828915 | + | 0.559375i | \(0.811041\pi\) | |||||||
\(410\) | −2.75538e10 | − | 6.95873e10i | −0.0481565 | − | 0.121619i | ||||
\(411\) | 5.01293e11 | − | 5.01293e11i | 0.866569 | − | 0.866569i | ||||
\(412\) | −1.20605e11 | + | 1.13269e11i | −0.206219 | + | 0.193675i | ||||
\(413\) | 1.49319e10 | + | 1.49319e10i | 0.0252546 | + | 0.0252546i | ||||
\(414\) | 1.34834e12 | + | 5.83435e11i | 2.25579 | + | 0.976093i | ||||
\(415\) | 4.78068e11 | 0.791175 | ||||||||
\(416\) | 6.02896e11 | − | 1.95987e11i | 0.987012 | − | 0.320855i | ||||
\(417\) | −1.36784e12 | −2.21526 | ||||||||
\(418\) | −1.32157e12 | − | 5.71851e11i | −2.11738 | − | 0.916199i | ||||
\(419\) | −2.64055e11 | − | 2.64055e11i | −0.418535 | − | 0.418535i | 0.466164 | − | 0.884698i | \(-0.345636\pi\) |
−0.884698 | + | 0.466164i | \(0.845636\pi\) | |||||||
\(420\) | −3.00011e10 | + | 2.81761e10i | −0.0470453 | + | 0.0441835i | ||||
\(421\) | −5.10538e11 | + | 5.10538e11i | −0.792061 | + | 0.792061i | −0.981829 | − | 0.189768i | \(-0.939226\pi\) |
0.189768 | + | 0.981829i | \(0.439226\pi\) | |||||||
\(422\) | 1.31651e11 | + | 3.32484e11i | 0.202077 | + | 0.510346i | ||||
\(423\) | 8.34975e11i | 1.26807i | ||||||||
\(424\) | −2.47645e11 | − | 1.16507e11i | −0.372120 | − | 0.175068i | ||||
\(425\) | − | 9.98140e9i | − | 0.0148402i | ||||||
\(426\) | 8.44676e11 | − | 3.34459e11i | 1.24264 | − | 0.492039i | ||||
\(427\) | 3.87371e9 | − | 3.87371e9i | 0.00563900 | − | 0.00563900i | ||||
\(428\) | −5.63665e11 | − | 1.76819e10i | −0.811940 | − | 0.0254701i | ||||
\(429\) | −1.21293e12 | − | 1.21293e12i | −1.72893 | − | 1.72893i | ||||
\(430\) | −1.78467e10 | + | 4.12445e10i | −0.0251739 | + | 0.0581779i | ||||
\(431\) | −9.30014e10 | −0.129820 | −0.0649100 | − | 0.997891i | \(-0.520676\pi\) | ||||
−0.0649100 | + | 0.997891i | \(0.520676\pi\) | |||||||
\(432\) | −3.55308e11 | − | 4.02926e11i | −0.490827 | − | 0.556606i | ||||
\(433\) | 8.00686e10 | 0.109463 | 0.0547314 | − | 0.998501i | \(-0.482570\pi\) | ||||
0.0547314 | + | 0.998501i | \(0.482570\pi\) | |||||||
\(434\) | −4.34925e10 | + | 1.00513e11i | −0.0588452 | + | 0.135994i | ||||
\(435\) | 2.68573e11 | + | 2.68573e11i | 0.359634 | + | 0.359634i | ||||
\(436\) | −1.52005e10 | + | 4.84564e11i | −0.0201451 | + | 0.642188i | ||||
\(437\) | 1.38594e12 | − | 1.38594e12i | 1.81793 | − | 1.81793i | ||||
\(438\) | −6.25813e11 | + | 2.47798e11i | −0.812477 | + | 0.321709i | ||||
\(439\) | 4.34948e11i | 0.558916i | 0.960158 | + | 0.279458i | \(0.0901548\pi\) | ||||
−0.960158 | + | 0.279458i | \(0.909845\pi\) | |||||||
\(440\) | −4.53191e11 | + | 1.63202e11i | −0.576427 | + | 0.207582i | ||||
\(441\) | 1.15740e12i | 1.45716i | ||||||||
\(442\) | 5.46326e9 | + | 1.37975e10i | 0.00680850 | + | 0.0171949i | ||||
\(443\) | −6.51517e11 | + | 6.51517e11i | −0.803728 | + | 0.803728i | −0.983676 | − | 0.179948i | \(-0.942407\pi\) |
0.179948 | + | 0.983676i | \(0.442407\pi\) | |||||||
\(444\) | 1.24308e12 | + | 1.32359e12i | 1.51801 | + | 1.61633i | ||||
\(445\) | 2.18991e10 | + | 2.18991e10i | 0.0264731 | + | 0.0264731i | ||||
\(446\) | 1.18603e12 | + | 5.13203e11i | 1.41935 | + | 0.614161i | ||||
\(447\) | −1.09958e12 | −1.30270 | ||||||||
\(448\) | 5.45738e10 | + | 6.59455e10i | 0.0640078 | + | 0.0773453i | ||||
\(449\) | 1.12054e12 | 1.30112 | 0.650559 | − | 0.759455i | \(-0.274534\pi\) | ||||
0.650559 | + | 0.759455i | \(0.274534\pi\) | |||||||
\(450\) | 9.78696e11 | + | 4.23486e11i | 1.12510 | + | 0.486837i | ||||
\(451\) | 2.97817e11 | + | 2.97817e11i | 0.338965 | + | 0.338965i | ||||
\(452\) | 9.02030e10 | + | 9.60456e10i | 0.101648 | + | 0.108232i | ||||
\(453\) | −2.98441e11 | + | 2.98441e11i | −0.332979 | + | 0.332979i | ||||
\(454\) | −3.50922e11 | − | 8.86253e11i | −0.387667 | − | 0.979054i | ||||
\(455\) | 3.89488e10i | 0.0426032i | ||||||||
\(456\) | −2.10291e12 | + | 7.57297e11i | −2.27761 | + | 0.820209i | ||||
\(457\) | − | 1.34034e12i | − | 1.43745i | −0.695294 | − | 0.718725i | \(-0.744726\pi\) | ||
0.695294 | − | 0.718725i | \(-0.255274\pi\) | |||||||
\(458\) | 5.75379e11 | − | 2.27827e11i | 0.611025 | − | 0.241942i | ||||
\(459\) | 8.89196e9 | − | 8.89196e9i | 0.00935062 | − | 0.00935062i | ||||
\(460\) | 2.05567e10 | − | 6.55310e11i | 0.0214064 | − | 0.682397i | ||||
\(461\) | 2.98740e11 | + | 2.98740e11i | 0.308063 | + | 0.308063i | 0.844158 | − | 0.536095i | \(-0.180101\pi\) |
−0.536095 | + | 0.844158i | \(0.680101\pi\) | |||||||
\(462\) | 9.19781e10 | − | 2.12565e11i | 0.0939281 | − | 0.217072i | ||||
\(463\) | 5.59184e11 | 0.565510 | 0.282755 | − | 0.959192i | \(-0.408752\pi\) | ||||
0.282755 | + | 0.959192i | \(0.408752\pi\) | |||||||
\(464\) | 5.92479e11 | − | 5.22460e11i | 0.593393 | − | 0.523266i | ||||
\(465\) | −9.56589e11 | −0.948827 | ||||||||
\(466\) | 4.88090e11 | − | 1.12800e12i | 0.479472 | − | 1.10808i | ||||
\(467\) | 2.59592e11 | + | 2.59592e11i | 0.252561 | + | 0.252561i | 0.822020 | − | 0.569459i | \(-0.192847\pi\) |
−0.569459 | + | 0.822020i | \(0.692847\pi\) | |||||||
\(468\) | −1.58466e12 | − | 4.97100e10i | −1.52697 | − | 0.0479003i | ||||
\(469\) | 1.32013e11 | − | 1.32013e11i | 0.125991 | − | 0.125991i | ||||
\(470\) | 3.46449e11 | − | 1.37180e11i | 0.327491 | − | 0.129673i | ||||
\(471\) | − | 3.06477e12i | − | 2.86948i | ||||||
\(472\) | 3.47106e11 | + | 1.63300e11i | 0.321902 | + | 0.151442i | ||||
\(473\) | − | 2.52896e11i | − | 0.232310i | ||||||
\(474\) | −4.10722e11 | − | 1.03728e12i | −0.373719 | − | 0.943829i | ||||
\(475\) | 1.00599e12 | − | 1.00599e12i | 0.906714 | − | 0.906714i | ||||
\(476\) | −1.46057e9 | + | 1.37172e9i | −0.00130404 | + | 0.00122471i | ||||
\(477\) | 4.83978e11 | + | 4.83978e11i | 0.428048 | + | 0.428048i | ||||
\(478\) | −1.20794e12 | − | 5.22683e11i | −1.05833 | − | 0.457944i | ||||
\(479\) | −1.61272e12 | −1.39975 | −0.699873 | − | 0.714267i | \(-0.746760\pi\) | ||||
−0.699873 | + | 0.714267i | \(0.746760\pi\) | |||||||
\(480\) | −3.39333e11 | + | 6.66213e11i | −0.291770 | + | 0.572832i | ||||
\(481\) | 1.71834e12 | 1.46371 | ||||||||
\(482\) | −6.81373e11 | − | 2.94833e11i | −0.575007 | − | 0.248808i | ||||
\(483\) | 2.22918e11 | + | 2.22918e11i | 0.186373 | + | 0.186373i | ||||
\(484\) | 1.09584e12 | − | 1.02918e12i | 0.907699 | − | 0.852483i | ||||
\(485\) | 5.88443e10 | − | 5.88443e10i | 0.0482911 | − | 0.0482911i | ||||
\(486\) | −5.53293e11 | − | 1.39734e12i | −0.449875 | − | 1.13616i | ||||
\(487\) | 1.80448e12i | 1.45369i | 0.686804 | + | 0.726843i | \(0.259013\pi\) | ||||
−0.686804 | + | 0.726843i | \(0.740987\pi\) | |||||||
\(488\) | 4.23640e10 | − | 9.00480e10i | 0.0338149 | − | 0.0718761i | ||||
\(489\) | − | 7.37069e11i | − | 0.582933i | ||||||
\(490\) | 4.80228e11 | − | 1.90151e11i | 0.376327 | − | 0.149011i | ||||
\(491\) | 1.68803e11 | − | 1.68803e11i | 0.131073 | − | 0.131073i | −0.638527 | − | 0.769600i | \(-0.720456\pi\) |
0.769600 | + | 0.638527i | \(0.220456\pi\) | |||||||
\(492\) | 6.53419e11 | + | 2.04974e10i | 0.502746 | + | 0.0157709i | ||||
\(493\) | 1.30751e10 | + | 1.30751e10i | 0.00996861 | + | 0.00996861i | ||||
\(494\) | −8.39973e11 | + | 1.94121e12i | −0.634591 | + | 1.46657i | ||||
\(495\) | 1.20463e12 | 0.901843 | ||||||||
\(496\) | −1.24695e11 | + | 1.98557e12i | −0.0925086 | + | 1.47305i | ||||
\(497\) | 1.16083e11 | 0.0853423 | ||||||||
\(498\) | −1.65830e12 | + | 3.83239e12i | −1.20818 | + | 2.79215i | ||||
\(499\) | 1.76747e11 | + | 1.76747e11i | 0.127614 | + | 0.127614i | 0.768029 | − | 0.640415i | \(-0.221238\pi\) |
−0.640415 | + | 0.768029i | \(0.721238\pi\) | |||||||
\(500\) | 3.28375e10 | − | 1.04680e12i | 0.0234966 | − | 0.749027i | ||||
\(501\) | −1.18773e12 | + | 1.18773e12i | −0.842261 | + | 0.842261i | ||||
\(502\) | −1.61702e11 | + | 6.40275e10i | −0.113644 | + | 0.0449987i | ||||
\(503\) | − | 7.90893e11i | − | 0.550886i | −0.961317 | − | 0.275443i | \(-0.911175\pi\) | ||
0.961317 | − | 0.275443i | \(-0.0888245\pi\) | |||||||
\(504\) | −7.25315e10 | − | 2.01410e11i | −0.0500713 | − | 0.139041i | ||||
\(505\) | 4.04400e11i | 0.276694i | ||||||||
\(506\) | 1.35830e12 | + | 3.43038e12i | 0.921123 | + | 2.32630i | ||||
\(507\) | −1.27594e11 | + | 1.27594e11i | −0.0857621 | + | 0.0857621i | ||||
\(508\) | −3.75369e10 | − | 3.99682e10i | −0.0250076 | − | 0.0266274i | ||||
\(509\) | −4.25237e11 | − | 4.25237e11i | −0.280802 | − | 0.280802i | 0.552627 | − | 0.833429i | \(-0.313626\pi\) |
−0.833429 | + | 0.552627i | \(0.813626\pi\) | |||||||
\(510\) | −1.60621e10 | − | 6.95015e9i | −0.0105132 | − | 0.00454913i | ||||
\(511\) | −8.60048e10 | −0.0557993 | ||||||||
\(512\) | 1.33861e12 | + | 7.91189e11i | 0.860872 | + | 0.508822i | ||||
\(513\) | 1.79237e12 | 1.14261 | ||||||||
\(514\) | −1.09560e11 | − | 4.74072e10i | −0.0692338 | − | 0.0299578i | ||||
\(515\) | −1.30573e11 | − | 1.30573e11i | −0.0817937 | − | 0.0817937i | ||||
\(516\) | −2.68728e11 | − | 2.86134e11i | −0.166874 | − | 0.177683i | ||||
\(517\) | −1.48272e12 | + | 1.48272e12i | −0.912749 | + | 0.912749i | ||||
\(518\) | 8.54172e10 | + | 2.15721e11i | 0.0521268 | + | 0.131646i | ||||
\(519\) | − | 1.52730e12i | − | 0.923999i | ||||||
\(520\) | 2.39722e11 | + | 6.65677e11i | 0.143778 | + | 0.399253i | ||||
\(521\) | − | 1.23940e12i | − | 0.736955i | −0.929637 | − | 0.368478i | \(-0.879879\pi\) | ||
0.929637 | − | 0.368478i | \(-0.120121\pi\) | |||||||
\(522\) | −1.83679e12 | + | 7.27296e11i | −1.08278 | + | 0.428740i | ||||
\(523\) | 1.50577e11 | − | 1.50577e11i | 0.0880035 | − | 0.0880035i | −0.661735 | − | 0.749738i | \(-0.730179\pi\) |
0.749738 | + | 0.661735i | \(0.230179\pi\) | |||||||
\(524\) | −3.81411e10 | + | 1.21587e12i | −0.0221005 | + | 0.704524i | ||||
\(525\) | 1.61805e11 | + | 1.61805e11i | 0.0929557 | + | 0.0929557i | ||||
\(526\) | 3.68270e11 | − | 8.51088e11i | 0.209764 | − | 0.484773i | ||||
\(527\) | −4.65703e10 | −0.0263003 | ||||||||
\(528\) | 2.63706e11 | − | 4.19908e12i | 0.147661 | − | 2.35127i | ||||
\(529\) | −3.22077e12 | −1.78817 | ||||||||
\(530\) | 1.21299e11 | − | 2.80327e11i | 0.0667751 | − | 0.154320i | ||||
\(531\) | −6.78357e11 | − | 6.78357e11i | −0.370282 | − | 0.370282i | ||||
\(532\) | −2.85455e11 | − | 8.95457e9i | −0.154502 | − | 0.00484666i | ||||
\(533\) | 4.37453e11 | − | 4.37453e11i | 0.234779 | − | 0.234779i | ||||
\(534\) | −2.51515e11 | + | 9.95899e10i | −0.133853 | + | 0.0530005i | ||||
\(535\) | − | 6.29391e11i | − | 0.332146i | ||||||
\(536\) | 1.44373e12 | − | 3.06877e12i | 0.755519 | − | 1.60591i | ||||
\(537\) | 1.60127e12i | 0.830959i | ||||||||
\(538\) | −8.15212e11 | − | 2.05882e12i | −0.419518 | − | 1.05949i | ||||
\(539\) | −2.05526e12 | + | 2.05526e12i | −1.04886 | + | 1.04886i | ||||
\(540\) | 4.37033e11 | − | 4.10448e11i | 0.221178 | − | 0.207724i | ||||
\(541\) | 2.07764e12 | + | 2.07764e12i | 1.04276 | + | 1.04276i | 0.999044 | + | 0.0437127i | \(0.0139186\pi\) |
0.0437127 | + | 0.999044i | \(0.486081\pi\) | |||||||
\(542\) | −2.74391e12 | − | 1.18730e12i | −1.36576 | − | 0.590970i | ||||
\(543\) | 4.00115e12 | 1.97508 | ||||||||
\(544\) | −1.65200e10 | + | 3.24337e10i | −0.00808752 | + | 0.0158782i | ||||
\(545\) | −5.41067e11 | −0.262704 | ||||||||
\(546\) | −3.12230e11 | − | 1.35103e11i | −0.150351 | − | 0.0650578i | ||||
\(547\) | −2.24589e12 | − | 2.24589e12i | −1.07262 | − | 1.07262i | −0.997148 | − | 0.0754687i | \(-0.975955\pi\) |
−0.0754687 | − | 0.997148i | \(-0.524045\pi\) | |||||||
\(548\) | 1.19948e12 | − | 1.12651e12i | 0.568172 | − | 0.533609i | ||||
\(549\) | −1.75983e11 | + | 1.75983e11i | −0.0826789 | + | 0.0826789i | ||||
\(550\) | 9.85921e11 | + | 2.48994e12i | 0.459420 | + | 1.16027i | ||||
\(551\) | 2.63558e12i | 1.21813i | ||||||||
\(552\) | 5.18194e12 | + | 2.43790e12i | 2.37556 | + | 1.11761i | ||||
\(553\) | − | 1.42552e11i | − | 0.0648202i | ||||||
\(554\) | 2.13855e12 | − | 8.46783e11i | 0.964553 | − | 0.381925i | ||||
\(555\) | −1.43298e12 | + | 1.43298e12i | −0.641092 | + | 0.641092i | ||||
\(556\) | −3.17339e12 | − | 9.95476e10i | −1.40827 | − | 0.0441768i | ||||
\(557\) | 2.53701e12 | + | 2.53701e12i | 1.11679 | + | 1.11679i | 0.992209 | + | 0.124586i | \(0.0397602\pi\) |
0.124586 | + | 0.992209i | \(0.460240\pi\) | |||||||
\(558\) | 1.97587e12 | − | 4.56631e12i | 0.862787 | − | 1.99394i | ||||
\(559\) | −3.71471e11 | −0.160906 | ||||||||
\(560\) | −7.16530e10 | + | 6.31850e10i | −0.0307885 | + | 0.0271499i | ||||
\(561\) | 9.84870e10 | 0.0419803 | ||||||||
\(562\) | 2.15590e11 | − | 4.98238e11i | 0.0911624 | − | 0.210680i | ||||
\(563\) | −1.61009e12 | − | 1.61009e12i | −0.675404 | − | 0.675404i | 0.283553 | − | 0.958957i | \(-0.408487\pi\) |
−0.958957 | + | 0.283553i | \(0.908487\pi\) | |||||||
\(564\) | −1.02049e11 | + | 3.25313e12i | −0.0424671 | + | 1.35377i | ||||
\(565\) | −1.03983e11 | + | 1.03983e11i | −0.0429284 | + | 0.0429284i | ||||
\(566\) | 1.24881e12 | − | 4.94479e11i | 0.511472 | − | 0.202523i | ||||
\(567\) | − | 7.54131e10i | − | 0.0306424i | ||||||
\(568\) | 1.98398e12 | − | 7.14468e11i | 0.799780 | − | 0.288015i | ||||
\(569\) | 2.16080e11i | 0.0864189i | 0.999066 | + | 0.0432094i | \(0.0137583\pi\) | ||||
−0.999066 | + | 0.0432094i | \(0.986242\pi\) | |||||||
\(570\) | −9.18357e11 | − | 2.31931e12i | −0.364397 | − | 0.920285i | ||||
\(571\) | 4.60654e11 | − | 4.60654e11i | 0.181348 | − | 0.181348i | −0.610595 | − | 0.791943i | \(-0.709070\pi\) |
0.791943 | + | 0.610595i | \(0.209070\pi\) | |||||||
\(572\) | −2.72571e12 | − | 2.90226e12i | −1.06463 | − | 1.13359i | ||||
\(573\) | 1.46538e12 | + | 1.46538e12i | 0.567878 | + | 0.567878i | ||||
\(574\) | 7.66634e10 | + | 3.31727e10i | 0.0294771 | + | 0.0127549i | ||||
\(575\) | −3.64516e12 | −1.39063 | ||||||||
\(576\) | −2.47929e12 | − | 2.99590e12i | −0.938481 | − | 1.13404i | ||||
\(577\) | 1.22599e12 | 0.460465 | 0.230232 | − | 0.973136i | \(-0.426051\pi\) | ||||
0.230232 | + | 0.973136i | \(0.426051\pi\) | |||||||
\(578\) | 2.46189e12 | + | 1.06527e12i | 0.917474 | + | 0.396996i | ||||
\(579\) | −3.34680e12 | − | 3.34680e12i | −1.23759 | − | 1.23759i | ||||
\(580\) | 6.03541e11 | + | 6.42633e11i | 0.221453 | + | 0.235796i | ||||
\(581\) | −3.77289e11 | + | 3.77289e11i | −0.137367 | + | 0.137367i | ||||
\(582\) | 2.67605e11 | + | 6.75837e11i | 0.0966810 | + | 0.244168i | ||||
\(583\) | 1.71886e12i | 0.616215i | ||||||||
\(584\) | −1.46992e12 | + | 5.29344e11i | −0.522919 | + | 0.188313i | ||||
\(585\) | − | 1.76944e12i | − | 0.624647i | ||||||
\(586\) | −3.95843e12 | + | 1.56738e12i | −1.38670 | + | 0.549081i | ||||
\(587\) | 2.75087e12 | − | 2.75087e12i | 0.956310 | − | 0.956310i | −0.0427748 | − | 0.999085i | \(-0.513620\pi\) |
0.999085 | + | 0.0427748i | \(0.0136198\pi\) | |||||||
\(588\) | −1.41454e11 | + | 4.50930e12i | −0.0487998 | + | 1.55565i | ||||
\(589\) | −4.69364e12 | − | 4.69364e12i | −1.60691 | − | 1.60691i | ||||
\(590\) | −1.70016e11 | + | 3.92914e11i | −0.0577637 | + | 0.133494i | ||||
\(591\) | 7.30368e12 | 2.46262 | ||||||||
\(592\) | 2.78760e12 | + | 3.16119e12i | 0.932787 | + | 1.05780i | ||||
\(593\) | 5.88252e10 | 0.0195352 | 0.00976759 | − | 0.999952i | \(-0.496891\pi\) | ||||
0.00976759 | + | 0.999952i | \(0.496891\pi\) | |||||||
\(594\) | −1.33987e12 | + | 3.09649e12i | −0.441593 | + | 1.02054i | ||||
\(595\) | −1.58127e9 | − | 1.58127e9i | −0.000517226 | − | 0.000517226i | ||||
\(596\) | −2.55103e12 | − | 8.00244e10i | −0.828146 | − | 0.0259785i | ||||
\(597\) | 2.84648e12 | − | 2.84648e12i | 0.917114 | − | 0.917114i | ||||
\(598\) | 5.03877e12 | − | 1.99516e12i | 1.61127 | − | 0.638002i | ||||
\(599\) | − | 7.55079e11i | − | 0.239647i | −0.992795 | − | 0.119823i | \(-0.961767\pi\) | ||
0.992795 | − | 0.119823i | \(-0.0382329\pi\) | |||||||
\(600\) | 3.76131e12 | + | 1.76955e12i | 1.18484 | + | 0.557419i | ||||
\(601\) | 3.41820e11i | 0.106871i | 0.998571 | + | 0.0534357i | \(0.0170172\pi\) | ||||
−0.998571 | + | 0.0534357i | \(0.982983\pi\) | |||||||
\(602\) | −1.84655e10 | − | 4.66346e10i | −0.00573029 | − | 0.0144719i | ||||
\(603\) | −5.99736e12 | + | 5.99736e12i | −1.84728 | + | 1.84728i | ||||
\(604\) | −7.14101e11 | + | 6.70661e11i | −0.218320 | + | 0.205039i | ||||
\(605\) | 1.18640e12 | + | 1.18640e12i | 0.360025 | + | 0.360025i | ||||
\(606\) | −3.24184e12 | − | 1.40276e12i | −0.976484 | − | 0.422530i | ||||
\(607\) | 2.21855e12 | 0.663316 | 0.331658 | − | 0.943400i | \(-0.392392\pi\) | ||||
0.331658 | + | 0.943400i | \(0.392392\pi\) | |||||||
\(608\) | −4.93385e12 | + | 1.60388e12i | −1.46427 | + | 0.475999i | ||||
\(609\) | −4.23914e11 | −0.124882 | ||||||||
\(610\) | 1.01932e11 | + | 4.41063e10i | 0.0298074 | + | 0.0128978i | ||||
\(611\) | 2.17792e12 | + | 2.17792e12i | 0.632201 | + | 0.632201i | ||||
\(612\) | 6.63536e10 | − | 6.23172e10i | 0.0191198 | − | 0.0179567i | ||||
\(613\) | −2.33945e12 | + | 2.33945e12i | −0.669179 | + | 0.669179i | −0.957526 | − | 0.288347i | \(-0.906894\pi\) |
0.288347 | + | 0.957526i | \(0.406894\pi\) | |||||||
\(614\) | 8.82366e11 | + | 2.22842e12i | 0.250548 | + | 0.632760i | ||||
\(615\) | 7.29610e11i | 0.205661i | ||||||||
\(616\) | 2.28858e11 | − | 4.86456e11i | 0.0640403 | − | 0.136123i | ||||
\(617\) | − | 4.06754e12i | − | 1.12992i | −0.825118 | − | 0.564961i | \(-0.808891\pi\) | ||
0.825118 | − | 0.564961i | \(-0.191109\pi\) | |||||||
\(618\) | 1.49965e12 | − | 5.93802e11i | 0.413563 | − | 0.163755i | ||||
\(619\) | 3.11841e12 | − | 3.11841e12i | 0.853739 | − | 0.853739i | −0.136853 | − | 0.990591i | \(-0.543699\pi\) |
0.990591 | + | 0.136853i | \(0.0436987\pi\) | |||||||
\(620\) | −2.21928e12 | − | 6.96176e10i | −0.603183 | − | 0.0189215i | ||||
\(621\) | −3.24730e12 | − | 3.24730e12i | −0.876215 | − | 0.876215i | ||||
\(622\) | −1.46526e12 | + | 3.38628e12i | −0.392517 | + | 0.907124i | ||||
\(623\) | −3.45653e10 | −0.00919273 | ||||||||
\(624\) | −6.16789e12 | − | 3.87348e11i | −1.62857 | − | 0.102275i | ||||
\(625\) | −2.00810e12 | −0.526412 | ||||||||
\(626\) | 8.11190e10 | − | 1.87469e11i | 0.0211124 | − | 0.0487917i | ||||
\(627\) | 9.92611e12 | + | 9.92611e12i | 2.56493 | + | 2.56493i | ||||
\(628\) | 2.23045e11 | − | 7.11024e12i | 0.0572234 | − | 1.82417i | ||||
\(629\) | −6.97626e10 | + | 6.97626e10i | −0.0177703 | + | 0.0177703i | ||||
\(630\) | 2.22136e11 | − | 8.79573e10i | 0.0561807 | − | 0.0222454i | ||||
\(631\) | 6.45613e11i | 0.162121i | 0.996709 | + | 0.0810607i | \(0.0258308\pi\) | ||||
−0.996709 | + | 0.0810607i | \(0.974169\pi\) | |||||||
\(632\) | −8.77382e11 | − | 2.43637e12i | −0.218757 | − | 0.607459i | ||||
\(633\) | − | 3.48603e12i | − | 0.863008i | ||||||
\(634\) | 2.04703e12 | + | 5.16979e12i | 0.503180 | + | 1.27078i | ||||
\(635\) | 4.32713e10 | − | 4.32713e10i | 0.0105613 | − | 0.0105613i | ||||
\(636\) | 1.82646e12 | + | 1.94476e12i | 0.442643 | + | 0.471314i | ||||
\(637\) | 3.01890e12 | + | 3.01890e12i | 0.726477 | + | 0.726477i | ||||
\(638\) | −4.55321e12 | − | 1.97020e12i | −1.08799 | − | 0.470778i | ||||
\(639\) | −5.27364e12 | −1.25129 | ||||||||
\(640\) | −8.35736e11 | + | 1.52091e12i | −0.196906 | + | 0.358339i | ||||
\(641\) | −2.92023e12 | −0.683213 | −0.341606 | − | 0.939843i | \(-0.610971\pi\) | ||||
−0.341606 | + | 0.939843i | \(0.610971\pi\) | |||||||
\(642\) | 5.04547e12 | + | 2.18320e12i | 1.17218 | + | 0.507207i | ||||
\(643\) | −8.03385e11 | − | 8.03385e11i | −0.185342 | − | 0.185342i | 0.608337 | − | 0.793679i | \(-0.291837\pi\) |
−0.793679 | + | 0.608337i | \(0.791837\pi\) | |||||||
\(644\) | 5.00946e11 | + | 5.33392e11i | 0.114764 | + | 0.122197i | ||||
\(645\) | 3.09781e11 | − | 3.09781e11i | 0.0704751 | − | 0.0704751i | ||||
\(646\) | −4.47090e10 | − | 1.12913e11i | −0.0101006 | − | 0.0255092i | ||||
\(647\) | − | 2.87229e12i | − | 0.644406i | −0.946671 | − | 0.322203i | \(-0.895577\pi\) | ||
0.946671 | − | 0.322203i | \(-0.104423\pi\) | |||||||
\(648\) | −4.64154e11 | − | 1.28889e12i | −0.103413 | − | 0.287164i | ||||
\(649\) | − | 2.40921e12i | − | 0.533056i | ||||||
\(650\) | 3.65739e12 | − | 1.44818e12i | 0.803640 | − | 0.318210i | ||||
\(651\) | 7.54937e11 | − | 7.54937e11i | 0.164739 | − | 0.164739i | ||||
\(652\) | 5.36416e10 | − | 1.70999e12i | 0.0116249 | − | 0.370579i | ||||
\(653\) | 1.74549e10 | + | 1.74549e10i | 0.00375672 | + | 0.00375672i | 0.708983 | − | 0.705226i | \(-0.249154\pi\) |
−0.705226 | + | 0.708983i | \(0.749154\pi\) | |||||||
\(654\) | 1.87682e12 | − | 4.33742e12i | 0.401166 | − | 0.927111i | ||||
\(655\) | −1.35764e12 | −0.288204 | ||||||||
\(656\) | 1.51443e12 | + | 9.51076e10i | 0.319288 | + | 0.0200516i | ||||
\(657\) | 3.90720e12 | 0.818128 | ||||||||
\(658\) | −1.65154e11 | + | 3.81679e11i | −0.0343458 | + | 0.0793745i | ||||
\(659\) | 1.95578e12 | + | 1.95578e12i | 0.403957 | + | 0.403957i | 0.879625 | − | 0.475668i | \(-0.157793\pi\) |
−0.475668 | + | 0.879625i | \(0.657793\pi\) | |||||||
\(660\) | 4.69333e12 | + | 1.47227e11i | 0.962795 | + | 0.0302024i | ||||
\(661\) | 5.77936e11 | − | 5.77936e11i | 0.117753 | − | 0.117753i | −0.645775 | − | 0.763528i | \(-0.723465\pi\) |
0.763528 | + | 0.645775i | \(0.223465\pi\) | |||||||
\(662\) | −4.01075e12 | + | 1.58810e12i | −0.811643 | + | 0.321379i | ||||
\(663\) | − | 1.44664e11i | − | 0.0290770i | ||||||
\(664\) | −4.12614e12 | + | 8.77044e12i | −0.823736 | + | 1.75091i | ||||
\(665\) | − | 3.18740e11i | − | 0.0632033i | ||||||
\(666\) | −3.88050e12 | − | 9.80022e12i | −0.764282 | − | 1.93020i | ||||
\(667\) | 4.77497e12 | − | 4.77497e12i | 0.934124 | − | 0.934124i | ||||
\(668\) | −2.84195e12 | + | 2.66908e12i | −0.552234 | + | 0.518641i | ||||
\(669\) | −8.90810e12 | − | 8.90810e12i | −1.71936 | − | 1.71936i | ||||
\(670\) | 3.47375e12 | + | 1.50311e12i | 0.665982 | + | 0.288174i | ||||
\(671\) | −6.25008e11 | −0.119024 | ||||||||
\(672\) | −2.57972e11 | − | 7.93574e11i | −0.0487990 | − | 0.150116i | ||||
\(673\) | 6.52623e12 | 1.22629 | 0.613147 | − | 0.789969i | \(-0.289903\pi\) | ||||
0.613147 | + | 0.789969i | \(0.289903\pi\) | |||||||
\(674\) | −5.37852e12 | − | 2.32731e12i | −1.00391 | − | 0.434395i | ||||
\(675\) | −2.35705e12 | − | 2.35705e12i | −0.437021 | − | 0.437021i | ||||
\(676\) | −3.05304e11 | + | 2.86732e11i | −0.0562305 | + | 0.0528099i | ||||
\(677\) | −5.52487e11 | + | 5.52487e11i | −0.101082 | + | 0.101082i | −0.755839 | − | 0.654757i | \(-0.772771\pi\) |
0.654757 | + | 0.755839i | \(0.272771\pi\) | |||||||
\(678\) | −4.72882e11 | − | 1.19426e12i | −0.0859446 | − | 0.217053i | ||||
\(679\) | 9.28795e10i | 0.0167690i | ||||||||
\(680\) | −3.67581e10 | − | 1.72932e10i | −0.00659270 | − | 0.00310160i | ||||
\(681\) | 9.29221e12i | 1.65561i | ||||||||
\(682\) | 1.16174e13 | − | 4.60002e12i | 2.05626 | − | 0.814198i | ||||
\(683\) | 3.07305e11 | − | 3.07305e11i | 0.0540352 | − | 0.0540352i | −0.679573 | − | 0.733608i | \(-0.737835\pi\) |
0.733608 | + | 0.679573i | \(0.237835\pi\) | |||||||
\(684\) | 1.29682e13 | + | 4.06806e11i | 2.26531 | + | 0.0710616i | ||||
\(685\) | 1.29861e12 | + | 1.29861e12i | 0.225356 | + | 0.225356i | ||||
\(686\) | −4.60186e11 | + | 1.06351e12i | −0.0793368 | + | 0.183351i | ||||
\(687\) | −6.03275e12 | −1.03326 | ||||||||
\(688\) | −6.02623e11 | − | 6.83385e11i | −0.102541 | − | 0.116283i | ||||
\(689\) | 2.52478e12 | 0.426812 | ||||||||
\(690\) | −2.53816e12 | + | 5.86580e12i | −0.426283 | + | 0.985160i | ||||
\(691\) | −3.24190e12 | − | 3.24190e12i | −0.540939 | − | 0.540939i | 0.382865 | − | 0.923804i | \(-0.374937\pi\) |
−0.923804 | + | 0.382865i | \(0.874937\pi\) | |||||||
\(692\) | 1.11152e11 | − | 3.54333e12i | 0.0184264 | − | 0.587400i | ||||
\(693\) | −9.50692e11 | + | 9.50692e11i | −0.156581 | + | 0.156581i | ||||
\(694\) | 7.89290e12 | − | 3.12528e12i | 1.29157 | − | 0.511412i | ||||
\(695\) | − | 3.54342e12i | − | 0.576091i | ||||||
\(696\) | −7.24515e12 | + | 2.60911e12i | −1.17032 | + | 0.421455i | ||||
\(697\) | 3.55202e10i | 0.00570069i | ||||||||
\(698\) | −6.87985e11 | − | 1.73751e12i | −0.109706 | − | 0.277062i | ||||
\(699\) | −8.47219e12 | + | 8.47219e12i | −1.34230 | + | 1.34230i | ||||
\(700\) | 3.63611e11 | + | 3.87163e11i | 0.0572396 | + | 0.0609470i | ||||
\(701\) | 2.87558e12 | + | 2.87558e12i | 0.449774 | + | 0.449774i | 0.895279 | − | 0.445506i | \(-0.146976\pi\) |
−0.445506 | + | 0.895279i | \(0.646976\pi\) | |||||||
\(702\) | 4.54832e12 | + | 1.96808e12i | 0.706861 | + | 0.305862i | ||||
\(703\) | −1.40622e13 | −2.17147 | ||||||||
\(704\) | 9.17391e11 | − | 9.72265e12i | 0.140759 | − | 1.49179i | ||||
\(705\) | −3.63246e12 | −0.553795 | ||||||||
\(706\) | −8.87363e12 | − | 3.83966e12i | −1.34425 | − | 0.581664i | ||||
\(707\) | −3.19151e11 | − | 3.19151e11i | −0.0480407 | − | 0.0480407i | ||||
\(708\) | −2.56002e12 | − | 2.72584e12i | −0.382908 | − | 0.407709i | ||||
\(709\) | −4.73175e11 | + | 4.73175e11i | −0.0703257 | + | 0.0703257i | −0.741395 | − | 0.671069i | \(-0.765835\pi\) |
0.671069 | + | 0.741395i | \(0.265835\pi\) | |||||||
\(710\) | 8.66420e11 | + | 2.18815e12i | 0.127958 | + | 0.323157i | ||||
\(711\) | 6.47614e12i | 0.950393i | ||||||||
\(712\) | −5.90760e11 | + | 2.12743e11i | −0.0861491 | + | 0.0310239i | ||||
\(713\) | 1.70073e13i | 2.46452i | ||||||||
\(714\) | 1.81612e10 | − | 7.19112e9i | 0.00261519 | − | 0.00103551i | ||||
\(715\) | 3.14211e12 | − | 3.14211e12i | 0.449619 | − | 0.449619i | ||||
\(716\) | −1.16535e11 | + | 3.71493e12i | −0.0165710 | + | 0.528253i | ||||
\(717\) | 9.07265e12 | + | 9.07265e12i | 1.28203 | + | 1.28203i | ||||
\(718\) | −5.03654e12 | + | 1.16397e13i | −0.707249 | + | 1.63448i | ||||
\(719\) | 1.08840e13 | 1.51882 | 0.759412 | − | 0.650610i | \(-0.225487\pi\) | ||||
0.759412 | + | 0.650610i | \(0.225487\pi\) | |||||||
\(720\) | 3.25519e12 | − | 2.87050e12i | 0.451420 | − | 0.398071i | ||||
\(721\) | 2.06095e11 | 0.0284026 | ||||||||
\(722\) | 3.97436e12 | − | 9.18493e12i | 0.544315 | − | 1.25794i | ||||
\(723\) | 5.11768e12 | + | 5.11768e12i | 0.696547 | + | 0.696547i | ||||
\(724\) | 9.28263e12 | + | 2.91191e11i | 1.25559 | + | 0.0393872i | ||||
\(725\) | 3.46591e12 | − | 3.46591e12i | 0.465904 | − | 0.465904i | ||||
\(726\) | −1.36260e13 | + | 5.39537e12i | −1.82035 | + | 0.720786i | ||||
\(727\) | 7.68173e12i | 1.01989i | 0.860206 | + | 0.509946i | \(0.170335\pi\) | ||||
−0.860206 | + | 0.509946i | \(0.829665\pi\) | |||||||
\(728\) | −7.14538e11 | − | 3.36162e11i | −0.0942832 | − | 0.0443565i | ||||
\(729\) | 1.23234e13i | 1.61606i | ||||||||
\(730\) | −6.41923e11 | − | 1.62118e12i | −0.0836624 | − | 0.211290i | ||||
\(731\) | 1.50813e10 | − | 1.50813e10i | 0.00195348 | − | 0.00195348i | ||||
\(732\) | −7.07150e11 | + | 6.64133e11i | −0.0910357 | + | 0.0854979i | ||||
\(733\) | −9.65661e12 | − | 9.65661e12i | −1.23554 | − | 1.23554i | −0.961805 | − | 0.273734i | \(-0.911741\pi\) |
−0.273734 | − | 0.961805i | \(-0.588259\pi\) | |||||||
\(734\) | 2.97447e12 | + | 1.28707e12i | 0.378248 | + | 0.163670i | ||||
\(735\) | −5.03511e12 | −0.636379 | ||||||||
\(736\) | 1.18446e13 | + | 6.03303e12i | 1.48789 | + | 0.757854i | ||||
\(737\) | −2.12998e13 | −2.65933 | ||||||||
\(738\) | −3.48282e12 | − | 1.50703e12i | −0.432193 | − | 0.187012i | ||||
\(739\) | −6.66182e12 | − | 6.66182e12i | −0.821661 | − | 0.821661i | 0.164685 | − | 0.986346i | \(-0.447339\pi\) |
−0.986346 | + | 0.164685i | \(0.947339\pi\) | |||||||
\(740\) | −3.42878e12 | + | 3.22020e12i | −0.420336 | + | 0.394767i | ||||
\(741\) | 1.45801e13 | − | 1.45801e13i | 1.77656 | − | 1.77656i | ||||
\(742\) | 1.25504e11 | + | 3.16961e11i | 0.0151999 | + | 0.0383874i | ||||
\(743\) | 3.60533e12i | 0.434006i | 0.976171 | + | 0.217003i | \(0.0696281\pi\) | ||||
−0.976171 | + | 0.217003i | \(0.930372\pi\) | |||||||
\(744\) | 8.25620e12 | − | 1.75492e13i | 0.987875 | − | 2.09981i | ||||
\(745\) | − | 2.84849e12i | − | 0.338775i | ||||||
\(746\) | −9.22464e12 | + | 3.65260e12i | −1.09050 | + | 0.431794i | ||||
\(747\) | 1.71403e13 | − | 1.71403e13i | 2.01407 | − | 2.01407i | ||||
\(748\) | 2.28489e11 | + | 7.16758e9i | 0.0266875 | + | 0.000837174i | ||||
\(749\) | 4.96713e11 | + | 4.96713e11i | 0.0576684 | + | 0.0576684i | ||||
\(750\) | −4.05448e12 | + | 9.37007e12i | −0.467906 | + | 1.08135i | ||||
\(751\) | 7.30964e12 | 0.838525 | 0.419263 | − | 0.907865i | \(-0.362289\pi\) | ||||
0.419263 | + | 0.907865i | \(0.362289\pi\) | |||||||
\(752\) | −4.73505e11 | + | 7.53980e12i | −0.0539939 | + | 0.859764i | ||||
\(753\) | 1.69541e12 | 0.192176 | ||||||||
\(754\) | −2.89395e12 | + | 6.68805e12i | −0.326077 | + | 0.753578i | ||||
\(755\) | −7.73116e11 | − | 7.73116e11i | −0.0865931 | − | 0.0865931i | ||||
\(756\) | −2.09808e10 | + | 6.68830e11i | −0.00233601 | + | 0.0744676i | ||||
\(757\) | −8.67712e12 | + | 8.67712e12i | −0.960383 | + | 0.960383i | −0.999245 | − | 0.0388619i | \(-0.987627\pi\) |
0.0388619 | + | 0.999245i | \(0.487627\pi\) | |||||||
\(758\) | 1.83615e12 | − | 7.27044e11i | 0.202021 | − | 0.0799925i | ||||
\(759\) | − | 3.59670e13i | − | 3.93383i | ||||||
\(760\) | −1.96179e12 | − | 5.44762e12i | −0.213300 | − | 0.592306i | ||||
\(761\) | − | 5.29837e12i | − | 0.572679i | −0.958128 | − | 0.286339i | \(-0.907562\pi\) | ||
0.958128 | − | 0.286339i | \(-0.0924385\pi\) | |||||||
\(762\) | 1.96784e11 | + | 4.96979e11i | 0.0211443 | + | 0.0533999i | ||||
\(763\) | 4.27008e11 | − | 4.27008e11i | 0.0456117 | − | 0.0456117i | ||||
\(764\) | 3.29303e12 | + | 3.50632e12i | 0.349684 | + | 0.372333i | ||||
\(765\) | 7.18372e10 | + | 7.18372e10i | 0.00758356 | + | 0.00758356i | ||||
\(766\) | 4.64677e12 | + | 2.01068e12i | 0.487665 | + | 0.211015i | ||||
\(767\) | −3.53880e12 | −0.369213 | ||||||||
\(768\) | −9.29333e12 | − | 1.19753e13i | −0.963931 | − | 1.24211i | ||||
\(769\) | 1.47480e13 | 1.52078 | 0.760389 | − | 0.649468i | \(-0.225008\pi\) | ||||
0.760389 | + | 0.649468i | \(0.225008\pi\) | |||||||
\(770\) | 5.50654e11 | + | 2.38271e11i | 0.0564508 | + | 0.0244265i | ||||
\(771\) | 8.22887e11 | + | 8.22887e11i | 0.0838678 | + | 0.0838678i | ||||
\(772\) | −7.52098e12 | − | 8.00812e12i | −0.762073 | − | 0.811433i | ||||
\(773\) | 1.03003e13 | − | 1.03003e13i | 1.03763 | − | 1.03763i | 0.0383611 | − | 0.999264i | \(-0.487786\pi\) |
0.999264 | − | 0.0383611i | \(-0.0122137\pi\) | |||||||
\(774\) | 8.38887e11 | + | 2.11861e12i | 0.0840174 | + | 0.212186i | ||||
\(775\) | 1.23447e13i | 1.22920i | ||||||||
\(776\) | 5.71656e11 | + | 1.58741e12i | 0.0565923 | + | 0.157149i | ||||
\(777\) | − | 2.26180e12i | − | 0.222618i | ||||||
\(778\) | −1.54934e13 | + | 6.13478e12i | −1.51614 | + | 0.600331i | ||||
\(779\) | −3.57993e12 | + | 3.57993e12i | −0.348302 | + | 0.348302i | ||||
\(780\) | 2.16257e11 | − | 6.89388e12i | 0.0209192 | − | 0.666865i | ||||
\(781\) | −9.36475e12 | − | 9.36475e12i | −0.900671 | − | 0.900671i | ||||
\(782\) | −1.23567e11 | + | 2.85569e11i | −0.0118161 | + | 0.0273074i | ||||
\(783\) | 6.17524e12 | 0.587119 | ||||||||
\(784\) | −6.56346e11 | + | 1.04512e13i | −0.0620455 | + | 0.987974i | ||||
\(785\) | 7.93933e12 | 0.746226 | ||||||||
\(786\) | 4.70932e12 | − | 1.08835e13i | 0.440106 | − | 1.01710i | ||||
\(787\) | −5.30907e12 | − | 5.30907e12i | −0.493324 | − | 0.493324i | 0.416028 | − | 0.909352i | \(-0.363422\pi\) |
−0.909352 | + | 0.416028i | \(0.863422\pi\) | |||||||
\(788\) | 1.69445e13 | + | 5.31540e11i | 1.56553 | + | 0.0491097i | ||||
\(789\) | −6.39238e12 | + | 6.39238e12i | −0.587240 | + | 0.587240i | ||||
\(790\) | 2.68709e12 | − | 1.06398e12i | 0.245448 | − | 0.0971879i | ||||
\(791\) | − | 1.64126e11i | − | 0.0149068i | ||||||
\(792\) | −1.03970e13 | + | 2.20997e13i | −0.938958 | + | 1.99583i | ||||
\(793\) | 9.18052e11i | 0.0824400i | ||||||||
\(794\) | 3.85654e12 | + | 9.73971e12i | 0.344355 | + | 0.869669i | ||||
\(795\) | −2.10549e12 | + | 2.10549e12i | −0.186939 | + | 0.186939i | ||||
\(796\) | 6.81097e12 | − | 6.39665e12i | 0.601312 | − | 0.564734i | ||||
\(797\) | 4.84524e12 | + | 4.84524e12i | 0.425356 | + | 0.425356i | 0.887043 | − | 0.461687i | \(-0.152756\pi\) |
−0.461687 | + | 0.887043i | \(0.652756\pi\) | |||||||
\(798\) | 2.55516e12 | + | 1.10563e12i | 0.223051 | + | 0.0965154i | ||||
\(799\) | −1.76842e11 | −0.0153505 | ||||||||
\(800\) | 8.59743e12 | + | 4.37908e12i | 0.742103 | + | 0.377988i | ||||
\(801\) | 1.57030e12 | 0.134784 | ||||||||
\(802\) | 5.84755e12 | + | 2.53026e12i | 0.499102 | + | 0.215964i | ||||
\(803\) | 6.93826e12 | + | 6.93826e12i | 0.588885 | + | 0.588885i | ||||
\(804\) | −2.40991e13 | + | 2.26332e13i | −2.03399 | + | 1.91026i | ||||
\(805\) | −5.77473e11 | + | 5.77473e11i | −0.0484675 | + | 0.0484675i | ||||
\(806\) | −6.75681e12 | − | 1.70643e13i | −0.563942 | − | 1.42424i | ||||
\(807\) | 2.15864e13i | 1.79163i | ||||||||
\(808\) | −7.41896e12 | − | 3.49033e12i | −0.612339 | − | 0.288081i | ||||
\(809\) | 7.53803e11i | 0.0618714i | 0.999521 | + | 0.0309357i | \(0.00984871\pi\) | ||||
−0.999521 | + | 0.0309357i | \(0.990151\pi\) | |||||||
\(810\) | 1.42153e12 | − | 5.62869e11i | 0.116031 | − | 0.0459436i | ||||
\(811\) | −7.50765e12 | + | 7.50765e12i | −0.609410 | + | 0.609410i | −0.942792 | − | 0.333382i | \(-0.891810\pi\) |
0.333382 | + | 0.942792i | \(0.391810\pi\) | |||||||
\(812\) | −9.83476e11 | − | 3.08511e10i | −0.0793892 | − | 0.00249040i | ||||
\(813\) | 2.06091e13 | + | 2.06091e13i | 1.65444 | + | 1.65444i | ||||
\(814\) | 1.05120e13 | − | 2.42937e13i | 0.839221 | − | 1.93948i | ||||
\(815\) | 1.90939e12 | 0.151595 | ||||||||
\(816\) | 2.66135e11 | − | 2.34683e11i | 0.0210134 | − | 0.0185300i | ||||
\(817\) | 3.03996e12 | 0.238709 | ||||||||
\(818\) | 5.68914e12 | − | 1.31478e13i | 0.444280 | − | 1.02675i | ||||
\(819\) | 1.39644e12 | + | 1.39644e12i | 0.108454 | + | 0.108454i | ||||
\(820\) | −5.30988e10 | + | 1.69269e12i | −0.00410131 | + | 0.130742i | ||||
\(821\) | −1.37572e13 | + | 1.37572e13i | −1.05679 | + | 1.05679i | −0.0584989 | + | 0.998287i | \(0.518631\pi\) |
−0.998287 | + | 0.0584989i | \(0.981369\pi\) | |||||||
\(822\) | −1.49147e13 | + | 5.90564e12i | −1.13944 | + | 0.451174i | ||||
\(823\) | − | 8.99838e12i | − | 0.683699i | −0.939755 | − | 0.341849i | \(-0.888947\pi\) | ||
0.939755 | − | 0.341849i | \(-0.111053\pi\) | |||||||
\(824\) | 3.52239e12 | − | 1.26848e12i | 0.266174 | − | 0.0958540i | ||||
\(825\) | − | 2.61066e13i | − | 1.96204i | ||||||
\(826\) | −1.75910e11 | − | 4.44262e11i | −0.0131487 | − | 0.0332070i | ||||
\(827\) | −1.87993e12 | + | 1.87993e12i | −0.139755 | + | 0.139755i | −0.773523 | − | 0.633768i | \(-0.781507\pi\) |
0.633768 | + | 0.773523i | \(0.281507\pi\) | |||||||
\(828\) | −2.27580e13 | − | 2.42320e13i | −1.68266 | − | 1.79165i | ||||
\(829\) | −1.08724e13 | − | 1.08724e13i | −0.799522 | − | 0.799522i | 0.183498 | − | 0.983020i | \(-0.441258\pi\) |
−0.983020 | + | 0.183498i | \(0.941258\pi\) | |||||||
\(830\) | −9.92787e12 | − | 4.29584e12i | −0.726114 | − | 0.314193i | ||||
\(831\) | −2.24223e13 | −1.63108 | ||||||||
\(832\) | −1.42813e13 | − | 1.34752e12i | −1.03326 | − | 0.0974949i | ||||
\(833\) | −2.45128e11 | −0.0176396 | ||||||||
\(834\) | 2.84056e13 | + | 1.22912e13i | 2.03309 | + | 0.879728i | ||||
\(835\) | −3.07682e12 | − | 3.07682e12i | −0.219035 | − | 0.219035i | ||||
\(836\) | 2.23061e13 | + | 2.37509e13i | 1.57941 | + | 1.68171i | ||||
\(837\) | −1.09973e13 | + | 1.09973e13i | −0.774503 | + | 0.774503i | ||||
\(838\) | 3.11079e12 | + | 7.85630e12i | 0.217908 | + | 0.550326i | ||||
\(839\) | − | 2.19389e13i | − | 1.52857i | −0.644879 | − | 0.764285i | \(-0.723092\pi\) | ||
0.644879 | − | 0.764285i | \(-0.276908\pi\) | |||||||
\(840\) | 8.76210e11 | − | 3.15539e11i | 0.0607228 | − | 0.0218674i | ||||
\(841\) | − | 5.42680e12i | − | 0.374078i | ||||||
\(842\) | 1.51898e13 | − | 6.01456e12i | 1.04147 | − | 0.412382i | ||||
\(843\) | −3.74218e12 | + | 3.74218e12i | −0.255212 | + | 0.255212i | ||||
\(844\) | 2.53703e11 | − | 8.08757e12i | 0.0172101 | − | 0.548627i | ||||
\(845\) | −3.30535e11 | − | 3.30535e11i | −0.0223029 | − | 0.0223029i | ||||
\(846\) | 7.50296e12 | − | 1.73397e13i | 0.503577 | − | 1.16379i | ||||
\(847\) | −1.87261e12 | −0.125018 | ||||||||
\(848\) | 4.09585e12 | + | 4.64476e12i | 0.271996 | + | 0.308448i | ||||
\(849\) | −1.30935e13 | −0.864912 | ||||||||
\(850\) | −8.96913e10 | + | 2.07280e11i | −0.00589339 | + | 0.0136199i | ||||
\(851\) | 2.54770e13 | + | 2.54770e13i | 1.66519 | + | 1.66519i | ||||
\(852\) | −2.05465e13 | − | 6.44533e11i | −1.33586 | − | 0.0419051i | ||||
\(853\) | 4.18474e12 | − | 4.18474e12i | 0.270644 | − | 0.270644i | −0.558716 | − | 0.829359i | \(-0.688706\pi\) |
0.829359 | + | 0.558716i | \(0.188706\pi\) | |||||||
\(854\) | −1.15253e11 | + | 4.56355e10i | −0.00741465 | + | 0.00293591i | ||||
\(855\) | 1.44804e13i | 0.926685i | ||||||||
\(856\) | 1.15466e13 | + | 5.43220e12i | 0.735056 | + | 0.345815i | ||||
\(857\) | − | 2.26974e13i | − | 1.43735i | −0.695347 | − | 0.718674i | \(-0.744749\pi\) | ||
0.695347 | − | 0.718674i | \(-0.255251\pi\) | |||||||
\(858\) | 1.42893e13 | + | 3.60877e13i | 0.900158 | + | 2.27335i | ||||
\(859\) | −1.69721e13 | + | 1.69721e13i | −1.06357 | + | 1.06357i | −0.0657321 | + | 0.997837i | \(0.520938\pi\) |
−0.997837 | + | 0.0657321i | \(0.979062\pi\) | |||||||
\(860\) | 7.41233e11 | − | 6.96144e11i | 0.0462074 | − | 0.0433966i | ||||
\(861\) | −5.75806e11 | − | 5.75806e11i | −0.0357077 | − | 0.0357077i | ||||
\(862\) | 1.93133e12 | + | 8.35696e11i | 0.119144 | + | 0.0515544i | ||||
\(863\) | 2.70408e13 | 1.65948 | 0.829739 | − | 0.558151i | \(-0.188489\pi\) | ||||
0.829739 | + | 0.558151i | \(0.188489\pi\) | |||||||
\(864\) | 3.75794e12 | + | 1.15602e13i | 0.229423 | + | 0.705752i | ||||
\(865\) | 3.95650e12 | 0.240291 | ||||||||
\(866\) | −1.66276e12 | − | 7.19484e11i | −0.100461 | − | 0.0434701i | ||||
\(867\) | −1.84909e13 | − | 1.84909e13i | −1.11140 | − | 1.11140i | ||||
\(868\) | 1.80639e12 | − | 1.69651e12i | 0.108012 | − | 0.101442i | ||||
\(869\) | −1.15001e13 | + | 1.15001e13i | −0.684089 | + | 0.684089i | ||||
\(870\) | −3.16401e12 | − | 7.99071e12i | −0.187241 | − | 0.472878i | ||||
\(871\) | 3.12865e13i | 1.84194i | ||||||||
\(872\) | 4.66988e12 | − | 9.92620e12i | 0.273515 | − | 0.581378i | ||||
\(873\) | − | 4.21952e12i | − | 0.245866i | ||||||
\(874\) | −4.12352e13 | + | 1.63275e13i | −2.39038 | + | 0.946497i | ||||
\(875\) | −9.22459e11 | + | 9.22459e11i | −0.0531999 | + | 0.0531999i | ||||
\(876\) | 1.52227e13 | + | 4.77529e11i | 0.873422 | + | 0.0273988i | ||||
\(877\) | −1.18288e12 | − | 1.18288e12i | −0.0675218 | − | 0.0675218i | 0.672539 | − | 0.740061i | \(-0.265204\pi\) |
−0.740061 | + | 0.672539i | \(0.765204\pi\) | |||||||
\(878\) | 3.90837e12 | − | 9.03242e12i | 0.221958 | − | 0.512954i | ||||
\(879\) | 4.15035e13 | 2.34495 | ||||||||
\(880\) | 1.08778e13 | + | 6.83133e11i | 0.611461 | + | 0.0384002i | ||||
\(881\) | −8.44014e11 | −0.0472018 | −0.0236009 | − | 0.999721i | \(-0.507513\pi\) | ||||
−0.0236009 | + | 0.999721i | \(0.507513\pi\) | |||||||
\(882\) | 1.04002e13 | − | 2.40353e13i | 0.578671 | − | 1.33733i | ||||
\(883\) | 9.56899e12 | + | 9.56899e12i | 0.529716 | + | 0.529716i | 0.920488 | − | 0.390772i | \(-0.127792\pi\) |
−0.390772 | + | 0.920488i | \(0.627792\pi\) | |||||||
\(884\) | 1.05282e10 | − | 3.35620e11i | 0.000579855 | − | 0.0184847i | ||||
\(885\) | 2.95111e12 | − | 2.95111e12i | 0.161711 | − | 0.161711i | ||||
\(886\) | 1.93843e13 | − | 7.67541e12i | 1.05681 | − | 0.418456i | ||||
\(887\) | − | 2.35670e13i | − | 1.27835i | −0.769062 | − | 0.639174i | \(-0.779277\pi\) | ||
0.769062 | − | 0.639174i | \(-0.220723\pi\) | |||||||
\(888\) | −1.39210e13 | − | 3.86566e13i | −0.751296 | − | 2.08625i | ||||
\(889\) | 6.82992e10i | 0.00366739i | ||||||||
\(890\) | −2.57989e11 | − | 6.51552e11i | −0.0137831 | − | 0.0348092i | ||||
\(891\) | −6.08380e12 | + | 6.08380e12i | −0.323389 | + | 0.323389i | ||||
\(892\) | −2.00184e13 | − | 2.13150e13i | −1.05874 | − | 1.12731i | ||||
\(893\) | −1.78232e13 | − | 1.78232e13i | −0.937892 | − | 0.937892i | ||||
\(894\) | 2.28347e13 | + | 9.88070e12i | 1.19557 | + | 0.517331i | ||||
\(895\) | −4.14811e12 | −0.216096 | ||||||||
\(896\) | −5.40740e11 | − | 1.85986e12i | −0.0280286 | − | 0.0964038i | ||||
\(897\) | −5.28307e13 | −2.72471 | ||||||||
\(898\) | −2.32698e13 | − | 1.00690e13i | −1.19412 | − | 0.516703i | ||||
\(899\) | −1.61710e13 | − | 1.61710e13i | −0.825690 | − | 0.825690i | ||||
\(900\) | −1.65189e13 | − | 1.75888e13i | −0.839245 | − | 0.893604i | ||||
\(901\) | −1.02503e11 | + | 1.02503e11i | −0.00518173 | + | 0.00518173i | ||||
\(902\) | −3.50853e12 | − | 8.86081e12i | −0.176480 | − | 0.445701i | ||||
\(903\) | 4.88956e11i | 0.0244723i | ||||||||
\(904\) | −1.01017e12 | − | 2.80510e12i | −0.0503078 | − | 0.139698i | ||||
\(905\) | 1.03650e13i | 0.513632i | ||||||||
\(906\) | 8.87937e12 | − | 3.51588e12i | 0.437830 | − | 0.173363i | ||||
\(907\) | 2.58303e13 | − | 2.58303e13i | 1.26735 | − | 1.26735i | 0.319902 | − | 0.947451i | \(-0.396350\pi\) |
0.947451 | − | 0.319902i | \(-0.103650\pi\) | |||||||
\(908\) | −6.76259e11 | + | 2.15579e13i | −0.0330162 | + | 1.05249i | ||||
\(909\) | 1.44990e13 | + | 1.44990e13i | 0.704372 | + | 0.704372i | ||||
\(910\) | 3.49987e11 | − | 8.08836e11i | 0.0169187 | − | 0.0390998i | ||||
\(911\) | 8.25545e12 | 0.397108 | 0.198554 | − | 0.980090i | \(-0.436376\pi\) | ||||
0.198554 | + | 0.980090i | \(0.436376\pi\) | |||||||
\(912\) | 5.04754e13 | + | 3.16989e12i | 2.41603 | + | 0.151729i | ||||
\(913\) | 6.08741e13 | 2.89944 | ||||||||
\(914\) | −1.20441e13 | + | 2.78344e13i | −0.570843 | + | 1.31924i | ||||
\(915\) | −7.65591e11 | − | 7.65591e11i | −0.0361079 | − | 0.0361079i | ||||
\(916\) | −1.39959e13 | − | 4.39045e11i | −0.656859 | − | 0.0206053i | ||||
\(917\) | 1.07145e12 | − | 1.07145e12i | 0.0500391 | − | 0.0500391i | ||||
\(918\) | −2.64558e11 | + | 1.04755e11i | −0.0122950 | + | 0.00486835i | ||||
\(919\) | 3.88993e13i | 1.79896i | 0.436958 | + | 0.899482i | \(0.356056\pi\) | ||||
−0.436958 | + | 0.899482i | \(0.643944\pi\) | |||||||
\(920\) | −6.31541e12 | + | 1.34239e13i | −0.290641 | + | 0.617779i | ||||
\(921\) | − | 2.33646e13i | − | 1.07001i | ||||||
\(922\) | −3.51941e12 | − | 8.88827e12i | −0.160391 | − | 0.405068i | ||||
\(923\) | −1.37556e13 | + | 1.37556e13i | −0.623836 | + | 0.623836i | ||||
\(924\) | −3.82016e12 | + | 3.58777e12i | −0.172408 | + | 0.161920i | ||||
\(925\) | 1.84925e13 | + | 1.84925e13i | 0.830533 | + | 0.830533i | ||||
\(926\) | −1.16124e13 | − | 5.02474e12i | −0.519006 | − | 0.224576i | ||||
\(927\) | −9.36290e12 | −0.416439 | ||||||||
\(928\) | −1.69986e13 | + | 5.52584e12i | −0.752396 | + | 0.244586i | ||||
\(929\) | −2.37691e13 | −1.04699 | −0.523493 | − | 0.852030i | \(-0.675372\pi\) | ||||
−0.523493 | + | 0.852030i | \(0.675372\pi\) | |||||||
\(930\) | 1.98652e13 | + | 8.59576e12i | 0.870801 | + | 0.376800i | ||||
\(931\) | −2.47054e13 | − | 2.47054e13i | −1.07775 | − | 1.07775i | ||||
\(932\) | −2.02720e13 | + | 1.90388e13i | −0.880086 | + | 0.826549i | ||||
\(933\) | 2.54338e13 | − | 2.54338e13i | 1.09886 | − | 1.09886i | ||||
\(934\) | −3.05821e12 | − | 7.72352e12i | −0.131494 | − | 0.332089i | ||||
\(935\) | 2.55132e11i | 0.0109172i | ||||||||
\(936\) | 3.24615e13 | + | 1.52718e13i | 1.38238 | + | 0.650354i | ||||
\(937\) | 2.16964e13i | 0.919515i | 0.888045 | + | 0.459757i | \(0.152064\pi\) | ||||
−0.888045 | + | 0.459757i | \(0.847936\pi\) | |||||||
\(938\) | −3.92773e12 | + | 1.55523e12i | −0.165664 | + | 0.0655965i | ||||
\(939\) | −1.40805e12 | + | 1.40805e12i | −0.0591049 | + | 0.0591049i | ||||
\(940\) | −8.42727e12 | − | 2.64359e11i | −0.352056 | − | 0.0110438i | ||||
\(941\) | −6.15927e12 | − | 6.15927e12i | −0.256080 | − | 0.256080i | 0.567378 | − | 0.823458i | \(-0.307958\pi\) |
−0.823458 | + | 0.567378i | \(0.807958\pi\) | |||||||
\(942\) | −2.75395e13 | + | 6.36451e13i | −1.13954 | + | 2.63352i | ||||
\(943\) | 1.29718e13 | 0.534192 | ||||||||
\(944\) | −5.74085e12 | − | 6.51023e12i | −0.235290 | − | 0.266823i | ||||
\(945\) | −7.46819e11 | −0.0304630 | ||||||||
\(946\) | −2.27249e12 | + | 5.25182e12i | −0.0922553 | + | 0.213206i | ||||
\(947\) | −8.54991e12 | − | 8.54991e12i | −0.345451 | − | 0.345451i | 0.512961 | − | 0.858412i | \(-0.328549\pi\) |
−0.858412 | + | 0.512961i | \(0.828549\pi\) | |||||||
\(948\) | −7.91500e11 | + | 2.52315e13i | −0.0318283 | + | 1.01463i | ||||
\(949\) | 1.01914e13 | − | 1.01914e13i | 0.407882 | − | 0.407882i | ||||
\(950\) | −2.99306e13 | + | 1.18513e13i | −1.19223 | + | 0.472075i | ||||
\(951\) | − | 5.42043e13i | − | 2.14893i | ||||||
\(952\) | 4.26572e10 | − | 1.53616e10i | 0.00168316 | − | 0.000606137i | ||||
\(953\) | 2.64791e13i | 1.03988i | 0.854202 | + | 0.519942i | \(0.174046\pi\) | ||||
−0.854202 | + | 0.519942i | \(0.825954\pi\) | |||||||
\(954\) | −5.70166e12 | − | 1.43996e13i | −0.222861 | − | 0.562835i | ||||
\(955\) | −3.79609e12 | + | 3.79609e12i | −0.147680 | + | 0.147680i | ||||
\(956\) | 2.03882e13 | + | 2.17088e13i | 0.789438 | + | 0.840571i | ||||
\(957\) | 3.41984e13 | + | 3.41984e13i | 1.31796 | + | 1.31796i | ||||
\(958\) | 3.34908e13 | + | 1.44916e13i | 1.28464 | + | 0.555870i | ||||
\(959\) | −2.04971e12 | −0.0782544 | ||||||||
\(960\) | 1.30333e13 | − | 1.07858e13i | 0.495261 | − | 0.409857i | ||||
\(961\) | 3.11573e13 | 1.17843 | ||||||||
\(962\) | −3.56842e13 | − | 1.54407e13i | −1.34335 | − | 0.581273i | ||||
\(963\) | −2.25657e13 | − | 2.25657e13i | −0.845532 | − | 0.845532i | ||||
\(964\) | 1.15005e13 | + | 1.22454e13i | 0.428915 | + | 0.456696i | ||||
\(965\) | 8.66994e12 | − | 8.66994e12i | 0.321842 | − | 0.321842i | ||||
\(966\) | −2.62616e12 | − | 6.63238e12i | −0.0970342 | − | 0.245060i | ||||
\(967\) | − | 2.08269e13i | − | 0.765959i | −0.923757 | − | 0.382980i | \(-0.874898\pi\) | ||
0.923757 | − | 0.382980i | \(-0.125102\pi\) | |||||||
\(968\) | −3.20049e13 | + | 1.15256e13i | −1.17160 | + | 0.421913i | ||||
\(969\) | 1.18387e12i | 0.0431368i | ||||||||
\(970\) | −1.75077e12 | + | 6.93235e11i | −0.0634973 | + | 0.0251425i | ||||
\(971\) | 1.40549e13 | − | 1.40549e13i | 0.507389 | − | 0.507389i | −0.406335 | − | 0.913724i | \(-0.633193\pi\) |
0.913724 | + | 0.406335i | \(0.133193\pi\) | |||||||
\(972\) | −1.06625e12 | + | 3.39900e13i | −0.0383142 | + | 1.22138i | ||||
\(973\) | 2.79646e12 | + | 2.79646e12i | 0.100023 | + | 0.100023i | ||||
\(974\) | 1.62147e13 | − | 3.74729e13i | 0.577290 | − | 1.33414i | ||||
\(975\) | −3.83471e13 | −1.35898 | ||||||||
\(976\) | −1.68892e12 | + | 1.48932e12i | −0.0595777 | + | 0.0525368i | ||||
\(977\) | −4.89398e13 | −1.71845 | −0.859225 | − | 0.511599i | \(-0.829054\pi\) | ||||
−0.859225 | + | 0.511599i | \(0.829054\pi\) | |||||||
\(978\) | −6.62319e12 | + | 1.53065e13i | −0.231495 | + | 0.534996i | ||||
\(979\) | 2.78849e12 | + | 2.78849e12i | 0.0970168 | + | 0.0970168i | ||||
\(980\) | −1.16814e13 | − | 3.66440e11i | −0.404555 | − | 0.0126907i | ||||
\(981\) | −1.93990e13 | + | 1.93990e13i | −0.668757 | + | 0.668757i | ||||
\(982\) | −5.02231e12 | + | 1.98864e12i | −0.172346 | + | 0.0682424i | ||||
\(983\) | − | 1.02755e13i | − | 0.351004i | −0.984479 | − | 0.175502i | \(-0.943845\pi\) | ||
0.984479 | − | 0.175502i | \(-0.0561548\pi\) | |||||||
\(984\) | −1.33851e13 | − | 6.29718e12i | −0.455140 | − | 0.214125i | ||||
\(985\) | 1.89203e13i | 0.640420i | ||||||||
\(986\) | −1.54036e11 | − | 3.89018e11i | −0.00519010 | − | 0.0131076i | ||||
\(987\) | 2.86672e12 | − | 2.86672e12i | 0.0961520 | − | 0.0961520i | ||||
\(988\) | 3.48869e13 | − | 3.27647e13i | 1.16481 | − | 1.09396i | ||||
\(989\) | −5.50761e12 | − | 5.50761e12i | −0.183054 | − | 0.183054i | ||||
\(990\) | −2.50162e13 | − | 1.08246e13i | −0.827681 | − | 0.358142i | ||||
\(991\) | 4.53411e13 | 1.49335 | 0.746673 | − | 0.665191i | \(-0.231650\pi\) | ||||
0.746673 | + | 0.665191i | \(0.231650\pi\) | |||||||
\(992\) | 2.04315e13 | − | 4.01131e13i | 0.669881 | − | 1.31518i | ||||
\(993\) | 4.20520e13 | 1.37251 | ||||||||
\(994\) | −2.41065e12 | − | 1.04310e12i | −0.0783242 | − | 0.0338913i | ||||
\(995\) | 7.37385e12 | + | 7.37385e12i | 0.238501 | + | 0.238501i | ||||
\(996\) | 6.88746e13 | − | 6.46849e13i | 2.21764 | − | 2.08274i | ||||
\(997\) | −3.50702e13 | + | 3.50702e13i | −1.12411 | + | 1.12411i | −0.132996 | + | 0.991117i | \(0.542460\pi\) |
−0.991117 | + | 0.132996i | \(0.957540\pi\) | |||||||
\(998\) | −2.08223e12 | − | 5.25867e12i | −0.0664416 | − | 0.167799i | ||||
\(999\) | 3.29481e13i | 1.04661i |
(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 | 16.10.e.a.13.3 | yes | 34 | |
4.3 | odd | 2 | 64.10.e.a.17.2 | 34 | |||
8.3 | odd | 2 | 128.10.e.a.33.16 | 34 | |||
8.5 | even | 2 | 128.10.e.b.33.2 | 34 | |||
16.3 | odd | 4 | 128.10.e.a.97.16 | 34 | |||
16.5 | even | 4 | inner | 16.10.e.a.5.3 | ✓ | 34 | |
16.11 | odd | 4 | 64.10.e.a.49.2 | 34 | |||
16.13 | even | 4 | 128.10.e.b.97.2 | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.10.e.a.5.3 | ✓ | 34 | 16.5 | even | 4 | inner | |
16.10.e.a.13.3 | yes | 34 | 1.1 | even | 1 | trivial | |
64.10.e.a.17.2 | 34 | 4.3 | odd | 2 | |||
64.10.e.a.49.2 | 34 | 16.11 | odd | 4 | |||
128.10.e.a.33.16 | 34 | 8.3 | odd | 2 | |||
128.10.e.a.97.16 | 34 | 16.3 | odd | 4 | |||
128.10.e.b.33.2 | 34 | 8.5 | even | 2 | |||
128.10.e.b.97.2 | 34 | 16.13 | even | 4 |