Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,16,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.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: | \(19.9770907140\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7979102 x^{8} - 3342530557 x^{7} + 48610066963550 x^{6} + \cdots + 51\!\cdots\!56 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{18}\cdot 3^{3}\cdot 5^{4}\cdot 7^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(-1143.06 - 1979.84i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.16.c.b.9.1 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 64.0000 | + | 110.851i | 0.353553 | + | 0.612372i | ||||
\(3\) | −3401.15 | + | 5890.97i | −0.897876 | + | 1.55517i | −0.0676724 | + | 0.997708i | \(0.521557\pi\) |
−0.830204 | + | 0.557460i | \(0.811776\pi\) | |||||||
\(4\) | −8192.00 | + | 14189.0i | −0.250000 | + | 0.433013i | ||||
\(5\) | −55365.7 | − | 95896.2i | −0.316932 | − | 0.548942i | 0.662914 | − | 0.748695i | \(-0.269319\pi\) |
−0.979846 | + | 0.199753i | \(0.935986\pi\) | |||||||
\(6\) | −870695. | −1.26979 | ||||||||
\(7\) | 550858. | − | 2.10811e6i | 0.252816 | − | 0.967514i | ||||
\(8\) | −2.09715e6 | −0.353553 | ||||||||
\(9\) | −1.59612e7 | − | 2.76456e7i | −1.11236 | − | 1.92667i | ||||
\(10\) | 7.08681e6 | − | 1.22747e7i | 0.224105 | − | 0.388161i | ||||
\(11\) | −2.69616e7 | + | 4.66989e7i | −0.417158 | + | 0.722539i | −0.995652 | − | 0.0931473i | \(-0.970307\pi\) |
0.578494 | + | 0.815687i | \(0.303641\pi\) | |||||||
\(12\) | −5.57245e7 | − | 9.65176e7i | −0.448938 | − | 0.777584i | ||||
\(13\) | 2.39628e8 | 1.05916 | 0.529581 | − | 0.848260i | \(-0.322349\pi\) | ||||
0.529581 | + | 0.848260i | \(0.322349\pi\) | |||||||
\(14\) | 2.68941e8 | − | 7.38556e7i | 0.681863 | − | 0.187251i | ||||
\(15\) | 7.53228e8 | 1.13826 | ||||||||
\(16\) | −1.34218e8 | − | 2.32472e8i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.29246e9 | + | 2.23861e9i | −0.763924 | + | 1.32316i | 0.176889 | + | 0.984231i | \(0.443397\pi\) |
−0.940813 | + | 0.338925i | \(0.889937\pi\) | |||||||
\(18\) | 2.04303e9 | − | 3.53864e9i | 0.786560 | − | 1.36236i | ||||
\(19\) | −2.01327e9 | − | 3.48709e9i | −0.516715 | − | 0.894976i | −0.999812 | − | 0.0194093i | \(-0.993821\pi\) |
0.483097 | − | 0.875567i | \(-0.339512\pi\) | |||||||
\(20\) | 1.81422e9 | 0.316932 | ||||||||
\(21\) | 1.05452e10 | + | 1.04151e10i | 1.27765 | + | 1.26188i | ||||
\(22\) | −6.90217e9 | −0.589951 | ||||||||
\(23\) | −3.30987e9 | − | 5.73286e9i | −0.202699 | − | 0.351085i | 0.746698 | − | 0.665163i | \(-0.231638\pi\) |
−0.949397 | + | 0.314078i | \(0.898305\pi\) | |||||||
\(24\) | 7.13273e9 | − | 1.23543e10i | 0.317447 | − | 0.549835i | ||||
\(25\) | 9.12807e9 | − | 1.58103e10i | 0.299108 | − | 0.518071i | ||||
\(26\) | 1.53362e10 | + | 2.65630e10i | 0.374470 | + | 0.648601i | ||||
\(27\) | 1.19540e11 | 2.19931 | ||||||||
\(28\) | 2.53992e10 | + | 2.50857e10i | 0.355742 | + | 0.351351i | ||||
\(29\) | 5.84976e9 | 0.0629728 | 0.0314864 | − | 0.999504i | \(-0.489976\pi\) | ||||
0.0314864 | + | 0.999504i | \(0.489976\pi\) | |||||||
\(30\) | 4.82066e10 | + | 8.34963e10i | 0.402436 | + | 0.697040i | ||||
\(31\) | 1.50673e11 | − | 2.60973e11i | 0.983609 | − | 1.70366i | 0.335650 | − | 0.941987i | \(-0.391044\pi\) |
0.647959 | − | 0.761675i | \(-0.275623\pi\) | |||||||
\(32\) | 1.71799e10 | − | 2.97564e10i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.83401e11 | − | 3.17660e11i | −0.749113 | − | 1.29750i | ||||
\(34\) | −3.30870e11 | −1.08035 | ||||||||
\(35\) | −2.32658e11 | + | 6.38917e10i | −0.611235 | + | 0.167855i | ||||
\(36\) | 5.23017e11 | 1.11236 | ||||||||
\(37\) | 7.37480e10 | + | 1.27735e11i | 0.127714 | + | 0.221207i | 0.922790 | − | 0.385302i | \(-0.125903\pi\) |
−0.795077 | + | 0.606509i | \(0.792569\pi\) | |||||||
\(38\) | 2.57699e11 | − | 4.46348e11i | 0.365372 | − | 0.632844i | ||||
\(39\) | −8.15011e11 | + | 1.41164e12i | −0.950996 | + | 1.64717i | ||||
\(40\) | 1.16110e11 | + | 2.01109e11i | 0.112052 | + | 0.194080i | ||||
\(41\) | 7.07723e11 | 0.567524 | 0.283762 | − | 0.958895i | \(-0.408417\pi\) | ||||
0.283762 | + | 0.958895i | \(0.408417\pi\) | |||||||
\(42\) | −4.79629e11 | + | 1.83552e12i | −0.321023 | + | 1.22854i | ||||
\(43\) | −1.37858e12 | −0.773424 | −0.386712 | − | 0.922201i | \(-0.626389\pi\) | ||||
−0.386712 | + | 0.922201i | \(0.626389\pi\) | |||||||
\(44\) | −4.41739e11 | − | 7.65115e11i | −0.208579 | − | 0.361270i | ||||
\(45\) | −1.76741e12 | + | 3.06124e12i | −0.705087 | + | 1.22125i | ||||
\(46\) | 4.23663e11 | − | 7.33806e11i | 0.143330 | − | 0.248255i | ||||
\(47\) | −1.97502e12 | − | 3.42084e12i | −0.568640 | − | 0.984914i | −0.996701 | − | 0.0811640i | \(-0.974136\pi\) |
0.428060 | − | 0.903750i | \(-0.359197\pi\) | |||||||
\(48\) | 1.82598e12 | 0.448938 | ||||||||
\(49\) | −4.14067e12 | − | 2.32254e12i | −0.872168 | − | 0.489206i | ||||
\(50\) | 2.33679e12 | 0.423003 | ||||||||
\(51\) | −8.79171e12 | − | 1.52277e13i | −1.37182 | − | 2.37606i | ||||
\(52\) | −1.96303e12 | + | 3.40007e12i | −0.264790 | + | 0.458630i | ||||
\(53\) | −3.72252e12 | + | 6.44759e12i | −0.435279 | + | 0.753926i | −0.997318 | − | 0.0731848i | \(-0.976684\pi\) |
0.562039 | + | 0.827111i | \(0.310017\pi\) | |||||||
\(54\) | 7.65058e12 | + | 1.32512e13i | 0.777573 | + | 1.34680i | ||||
\(55\) | 5.97100e12 | 0.528843 | ||||||||
\(56\) | −1.15523e12 | + | 4.42102e12i | −0.0893839 | + | 0.342068i | ||||
\(57\) | 2.73898e13 | 1.85578 | ||||||||
\(58\) | 3.74384e11 | + | 6.48453e11i | 0.0222642 | + | 0.0385628i | ||||
\(59\) | 1.81514e13 | − | 3.14391e13i | 0.949553 | − | 1.64467i | 0.203185 | − | 0.979140i | \(-0.434871\pi\) |
0.746368 | − | 0.665534i | \(-0.231796\pi\) | |||||||
\(60\) | −6.17045e12 | + | 1.06875e13i | −0.284566 | + | 0.492882i | ||||
\(61\) | 1.22609e13 | + | 2.12365e13i | 0.499515 | + | 0.865186i | 1.00000 | 0.000559716i | \(-0.000178163\pi\) | |
−0.500485 | + | 0.865745i | \(0.666845\pi\) | |||||||
\(62\) | 3.85723e13 | 1.39103 | ||||||||
\(63\) | −6.70723e13 | + | 1.84191e13i | −2.14530 | + | 0.589135i | ||||
\(64\) | 4.39805e12 | 0.125000 | ||||||||
\(65\) | −1.32672e13 | − | 2.29794e13i | −0.335682 | − | 0.581418i | ||||
\(66\) | 2.34753e13 | − | 4.06605e13i | 0.529703 | − | 0.917472i | ||||
\(67\) | −6.14489e12 | + | 1.06433e13i | −0.123866 | + | 0.214543i | −0.921289 | − | 0.388878i | \(-0.872863\pi\) |
0.797423 | + | 0.603421i | \(0.206196\pi\) | |||||||
\(68\) | −2.11757e13 | − | 3.66773e13i | −0.381962 | − | 0.661578i | ||||
\(69\) | 4.50295e13 | 0.727995 | ||||||||
\(70\) | −2.19726e13 | − | 2.17014e13i | −0.318894 | − | 0.314958i | ||||
\(71\) | −3.63576e13 | −0.474414 | −0.237207 | − | 0.971459i | \(-0.576232\pi\) | ||||
−0.237207 | + | 0.971459i | \(0.576232\pi\) | |||||||
\(72\) | 3.34731e13 | + | 5.79771e13i | 0.393280 | + | 0.681181i | ||||
\(73\) | 4.65083e13 | − | 8.05548e13i | 0.492731 | − | 0.853434i | −0.507234 | − | 0.861808i | \(-0.669332\pi\) |
0.999965 | + | 0.00837382i | \(0.00266550\pi\) | |||||||
\(74\) | −9.43974e12 | + | 1.63501e13i | −0.0903072 | + | 0.156417i | ||||
\(75\) | 6.20919e13 | + | 1.07546e14i | 0.537125 | + | 0.930328i | ||||
\(76\) | 6.59710e13 | 0.516715 | ||||||||
\(77\) | 8.35943e13 | + | 8.25624e13i | 0.593603 | + | 0.586276i | ||||
\(78\) | −2.08643e14 | −1.34491 | ||||||||
\(79\) | −1.41191e14 | − | 2.44549e14i | −0.827185 | − | 1.43273i | −0.900238 | − | 0.435398i | \(-0.856608\pi\) |
0.0730538 | − | 0.997328i | \(-0.476726\pi\) | |||||||
\(80\) | −1.48621e13 | + | 2.57419e13i | −0.0792329 | + | 0.137235i | ||||
\(81\) | −1.77549e14 | + | 3.07523e14i | −0.862343 | + | 1.49362i | ||||
\(82\) | 4.52943e13 | + | 7.84520e13i | 0.200650 | + | 0.347536i | ||||
\(83\) | −2.65136e14 | −1.07246 | −0.536231 | − | 0.844071i | \(-0.680153\pi\) | ||||
−0.536231 | + | 0.844071i | \(0.680153\pi\) | |||||||
\(84\) | −2.34166e14 | + | 6.43057e13i | −0.865822 | + | 0.237769i | ||||
\(85\) | 2.86232e14 | 0.968448 | ||||||||
\(86\) | −8.82289e13 | − | 1.52817e14i | −0.273447 | − | 0.473624i | ||||
\(87\) | −1.98959e13 | + | 3.44607e13i | −0.0565417 | + | 0.0979332i | ||||
\(88\) | 5.65426e13 | − | 9.79347e13i | 0.147488 | − | 0.255456i | ||||
\(89\) | −2.36137e14 | − | 4.09001e14i | −0.565898 | − | 0.980165i | −0.996965 | − | 0.0778448i | \(-0.975196\pi\) |
0.431067 | − | 0.902320i | \(-0.358137\pi\) | |||||||
\(90\) | −4.52456e14 | −0.997143 | ||||||||
\(91\) | 1.32001e14 | − | 5.05161e14i | 0.267773 | − | 1.02475i | ||||
\(92\) | 1.08458e14 | 0.202699 | ||||||||
\(93\) | 1.02492e15 | + | 1.77522e15i | 1.76632 | + | 3.05935i | ||||
\(94\) | 2.52803e14 | − | 4.37867e14i | 0.402090 | − | 0.696439i | ||||
\(95\) | −2.22933e14 | + | 3.86131e14i | −0.327527 | + | 0.567293i | ||||
\(96\) | 1.16863e14 | + | 2.02412e14i | 0.158724 | + | 0.274917i | ||||
\(97\) | −4.86827e14 | −0.611767 | −0.305884 | − | 0.952069i | \(-0.598952\pi\) | ||||
−0.305884 | + | 0.952069i | \(0.598952\pi\) | |||||||
\(98\) | −7.54711e12 | − | 6.07641e14i | −0.00878183 | − | 0.707052i | ||||
\(99\) | 1.72136e15 | 1.85613 | ||||||||
\(100\) | 1.49554e14 | + | 2.59036e14i | 0.149554 | + | 0.259036i | ||||
\(101\) | 3.78629e14 | − | 6.55805e14i | 0.351401 | − | 0.608645i | −0.635094 | − | 0.772435i | \(-0.719039\pi\) |
0.986495 | + | 0.163790i | \(0.0523719\pi\) | |||||||
\(102\) | 1.12534e15 | − | 1.94914e15i | 0.970023 | − | 1.68013i | ||||
\(103\) | −1.24605e14 | − | 2.15822e14i | −0.0998288 | − | 0.172909i | 0.811785 | − | 0.583957i | \(-0.198496\pi\) |
−0.911614 | + | 0.411048i | \(0.865163\pi\) | |||||||
\(104\) | −5.02536e14 | −0.374470 | ||||||||
\(105\) | 4.14922e14 | − | 1.58789e15i | 0.287771 | − | 1.10129i | ||||
\(106\) | −9.52965e14 | −0.615578 | ||||||||
\(107\) | 4.85052e14 | + | 8.40134e14i | 0.292018 | + | 0.505790i | 0.974287 | − | 0.225311i | \(-0.0723399\pi\) |
−0.682269 | + | 0.731101i | \(0.739007\pi\) | |||||||
\(108\) | −9.79274e14 | + | 1.69615e15i | −0.549827 | + | 0.952328i | ||||
\(109\) | 1.47208e14 | − | 2.54971e14i | 0.0771316 | − | 0.133596i | −0.824880 | − | 0.565308i | \(-0.808757\pi\) |
0.902011 | + | 0.431713i | \(0.142091\pi\) | |||||||
\(110\) | 3.82144e14 | + | 6.61892e14i | 0.186974 | + | 0.323849i | ||||
\(111\) | −1.00331e15 | −0.458684 | ||||||||
\(112\) | −5.64011e14 | + | 1.54886e14i | −0.241075 | + | 0.0662031i | ||||
\(113\) | −2.58642e15 | −1.03421 | −0.517107 | − | 0.855921i | \(-0.672991\pi\) | ||||
−0.517107 | + | 0.855921i | \(0.672991\pi\) | |||||||
\(114\) | 1.75295e15 | + | 3.03619e15i | 0.656119 | + | 1.13643i | ||||
\(115\) | −3.66506e14 | + | 6.34808e14i | −0.128484 | + | 0.222540i | ||||
\(116\) | −4.79212e13 | + | 8.30019e13i | −0.0157432 | + | 0.0272680i | ||||
\(117\) | −3.82475e15 | − | 6.62466e15i | −1.17817 | − | 2.04066i | ||||
\(118\) | 4.64675e15 | 1.34287 | ||||||||
\(119\) | 4.00726e15 | + | 3.95780e15i | 1.08704 | + | 1.07362i | ||||
\(120\) | −1.57963e15 | −0.402436 | ||||||||
\(121\) | 6.34766e14 | + | 1.09945e15i | 0.151958 | + | 0.263199i | ||||
\(122\) | −1.56940e15 | + | 2.71827e15i | −0.353211 | + | 0.611779i | ||||
\(123\) | −2.40707e15 | + | 4.16917e15i | −0.509567 | + | 0.882595i | ||||
\(124\) | 2.46863e15 | + | 4.27579e15i | 0.491805 | + | 0.851831i | ||||
\(125\) | −5.40078e15 | −1.01305 | ||||||||
\(126\) | −6.33441e15 | − | 6.25622e15i | −1.11925 | − | 1.10543i | ||||
\(127\) | −4.01509e15 | −0.668601 | −0.334300 | − | 0.942467i | \(-0.608500\pi\) | ||||
−0.334300 | + | 0.942467i | \(0.608500\pi\) | |||||||
\(128\) | 2.81475e14 | + | 4.87529e14i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 4.68875e15 | − | 8.12115e15i | 0.694439 | − | 1.20280i | ||||
\(130\) | 1.69820e15 | − | 2.94136e15i | 0.237363 | − | 0.411125i | ||||
\(131\) | −1.29724e15 | − | 2.24689e15i | −0.171193 | − | 0.296516i | 0.767644 | − | 0.640877i | \(-0.221429\pi\) |
−0.938837 | + | 0.344361i | \(0.888096\pi\) | |||||||
\(132\) | 6.00969e15 | 0.749113 | ||||||||
\(133\) | −8.46019e15 | + | 2.32331e15i | −0.996536 | + | 0.273665i | ||||
\(134\) | −1.57309e15 | −0.175173 | ||||||||
\(135\) | −6.61843e15 | − | 1.14635e16i | −0.697031 | − | 1.20729i | ||||
\(136\) | 2.71049e15 | − | 4.69470e15i | 0.270088 | − | 0.467806i | ||||
\(137\) | −8.63303e15 | + | 1.49529e16i | −0.814253 | + | 1.41033i | 0.0956109 | + | 0.995419i | \(0.469520\pi\) |
−0.909863 | + | 0.414908i | \(0.863814\pi\) | |||||||
\(138\) | 2.88188e15 | + | 4.99157e15i | 0.257385 | + | 0.445804i | ||||
\(139\) | 1.13249e16 | 0.958124 | 0.479062 | − | 0.877781i | \(-0.340977\pi\) | ||||
0.479062 | + | 0.877781i | \(0.340977\pi\) | |||||||
\(140\) | 9.99379e14 | − | 3.82458e15i | 0.0801254 | − | 0.306636i | ||||
\(141\) | 2.68694e16 | 2.04228 | ||||||||
\(142\) | −2.32689e15 | − | 4.03028e15i | −0.167731 | − | 0.290518i | ||||
\(143\) | −6.46076e15 | + | 1.11904e16i | −0.441838 | + | 0.765286i | ||||
\(144\) | −4.28455e15 | + | 7.42106e15i | −0.278091 | + | 0.481668i | ||||
\(145\) | −3.23876e14 | − | 5.60969e14i | −0.0199581 | − | 0.0345684i | ||||
\(146\) | 1.19061e16 | 0.696826 | ||||||||
\(147\) | 2.77650e16 | − | 1.64933e16i | 1.54390 | − | 0.917121i | ||||
\(148\) | −2.41657e15 | −0.127714 | ||||||||
\(149\) | −7.32511e15 | − | 1.26875e16i | −0.368059 | − | 0.637496i | 0.621203 | − | 0.783649i | \(-0.286644\pi\) |
−0.989262 | + | 0.146153i | \(0.953311\pi\) | |||||||
\(150\) | −7.94776e15 | + | 1.37659e16i | −0.379805 | + | 0.657841i | ||||
\(151\) | −2.06045e16 | + | 3.56880e16i | −0.936772 | + | 1.62254i | −0.165329 | + | 0.986238i | \(0.552869\pi\) |
−0.771443 | + | 0.636299i | \(0.780465\pi\) | |||||||
\(152\) | 4.22214e15 | + | 7.31296e15i | 0.182686 | + | 0.316422i | ||||
\(153\) | 8.25169e16 | 3.39905 | ||||||||
\(154\) | −3.80212e15 | + | 1.45505e16i | −0.149149 | + | 0.570786i | ||||
\(155\) | −3.33685e16 | −1.24695 | ||||||||
\(156\) | −1.33531e16 | − | 2.31283e16i | −0.475498 | − | 0.823587i | ||||
\(157\) | 1.11386e16 | − | 1.92926e16i | 0.378080 | − | 0.654854i | −0.612703 | − | 0.790313i | \(-0.709918\pi\) |
0.990783 | + | 0.135460i | \(0.0432511\pi\) | |||||||
\(158\) | 1.80724e16 | − | 3.13023e16i | 0.584908 | − | 1.01309i | ||||
\(159\) | −2.53217e16 | − | 4.38585e16i | −0.781654 | − | 1.35386i | ||||
\(160\) | −3.80470e15 | −0.112052 | ||||||||
\(161\) | −1.39088e16 | + | 3.81957e15i | −0.390926 | + | 0.107354i | ||||
\(162\) | −4.54525e16 | −1.21954 | ||||||||
\(163\) | −1.20124e16 | − | 2.08061e16i | −0.307768 | − | 0.533070i | 0.670106 | − | 0.742266i | \(-0.266249\pi\) |
−0.977874 | + | 0.209196i | \(0.932915\pi\) | |||||||
\(164\) | −5.79767e15 | + | 1.00419e16i | −0.141881 | + | 0.245745i | ||||
\(165\) | −2.03083e16 | + | 3.51749e16i | −0.474835 | + | 0.822439i | ||||
\(166\) | −1.69687e16 | − | 2.93906e16i | −0.379173 | − | 0.656747i | ||||
\(167\) | 5.01680e16 | 1.07165 | 0.535825 | − | 0.844329i | \(-0.320001\pi\) | ||||
0.535825 | + | 0.844329i | \(0.320001\pi\) | |||||||
\(168\) | −2.21150e16 | − | 2.18420e16i | −0.451717 | − | 0.446142i | ||||
\(169\) | 6.23562e15 | 0.121823 | ||||||||
\(170\) | 1.83188e16 | + | 3.17292e16i | 0.342398 | + | 0.593051i | ||||
\(171\) | −6.42686e16 | + | 1.11316e17i | −1.14955 | + | 1.99108i | ||||
\(172\) | 1.12933e16 | − | 1.95606e16i | 0.193356 | − | 0.334902i | ||||
\(173\) | 1.05273e16 | + | 1.82339e16i | 0.172573 | + | 0.298905i | 0.939319 | − | 0.343046i | \(-0.111459\pi\) |
−0.766746 | + | 0.641951i | \(0.778125\pi\) | |||||||
\(174\) | −5.09335e15 | −0.0799621 | ||||||||
\(175\) | −2.83015e16 | − | 2.79522e16i | −0.425622 | − | 0.420368i | ||||
\(176\) | 1.44749e16 | 0.208579 | ||||||||
\(177\) | 1.23471e17 | + | 2.13858e17i | 1.70516 | + | 2.95343i | ||||
\(178\) | 3.02255e16 | − | 5.23521e16i | 0.400151 | − | 0.693081i | ||||
\(179\) | 1.73974e16 | − | 3.01332e16i | 0.220844 | − | 0.382514i | −0.734220 | − | 0.678911i | \(-0.762452\pi\) |
0.955065 | + | 0.296398i | \(0.0957854\pi\) | |||||||
\(180\) | −2.89572e16 | − | 5.01553e16i | −0.352543 | − | 0.610623i | ||||
\(181\) | −1.05050e17 | −1.22689 | −0.613446 | − | 0.789737i | \(-0.710217\pi\) | ||||
−0.613446 | + | 0.789737i | \(0.710217\pi\) | |||||||
\(182\) | 6.44458e16 | − | 1.76979e16i | 0.722203 | − | 0.198329i | ||||
\(183\) | −1.66805e17 | −1.79401 | ||||||||
\(184\) | 6.94130e15 | + | 1.20227e16i | 0.0716650 | + | 0.124127i | ||||
\(185\) | 8.16622e15 | − | 1.41443e16i | 0.0809530 | − | 0.140215i | ||||
\(186\) | −1.31190e17 | + | 2.27228e17i | −1.24898 | + | 2.16329i | ||||
\(187\) | −6.96937e16 | − | 1.20713e17i | −0.637355 | − | 1.10393i | ||||
\(188\) | 6.47175e16 | 0.568640 | ||||||||
\(189\) | 6.58497e16 | − | 2.52004e17i | 0.556020 | − | 2.12786i | ||||
\(190\) | −5.70708e16 | −0.463193 | ||||||||
\(191\) | −9.91179e15 | − | 1.71677e16i | −0.0773396 | − | 0.133956i | 0.824762 | − | 0.565480i | \(-0.191309\pi\) |
−0.902101 | + | 0.431524i | \(0.857976\pi\) | |||||||
\(192\) | −1.49584e16 | + | 2.59087e16i | −0.112235 | + | 0.194396i | ||||
\(193\) | 1.21654e17 | − | 2.10710e17i | 0.877900 | − | 1.52057i | 0.0242599 | − | 0.999706i | \(-0.492277\pi\) |
0.853641 | − | 0.520863i | \(-0.174390\pi\) | |||||||
\(194\) | −3.11569e16 | − | 5.39653e16i | −0.216292 | − | 0.374630i | ||||
\(195\) | 1.80495e17 | 1.20560 | ||||||||
\(196\) | 6.68748e16 | − | 3.97256e16i | 0.429874 | − | 0.255358i | ||||
\(197\) | 2.19226e17 | 1.35642 | 0.678212 | − | 0.734866i | \(-0.262755\pi\) | ||||
0.678212 | + | 0.734866i | \(0.262755\pi\) | |||||||
\(198\) | 1.10167e17 | + | 1.90815e17i | 0.656240 | + | 1.13664i | ||||
\(199\) | −1.14325e17 | + | 1.98017e17i | −0.655759 | + | 1.13581i | 0.325944 | + | 0.945389i | \(0.394318\pi\) |
−0.981703 | + | 0.190419i | \(0.939015\pi\) | |||||||
\(200\) | −1.91429e16 | + | 3.31566e16i | −0.105751 | + | 0.183166i | ||||
\(201\) | −4.17994e16 | − | 7.23986e16i | −0.222433 | − | 0.385265i | ||||
\(202\) | 9.69290e16 | 0.496957 | ||||||||
\(203\) | 3.22238e15 | − | 1.23319e16i | 0.0159205 | − | 0.0609270i | ||||
\(204\) | 2.88087e17 | 1.37182 | ||||||||
\(205\) | −3.91836e16 | − | 6.78680e16i | −0.179866 | − | 0.311538i | ||||
\(206\) | 1.59494e16 | − | 2.76252e16i | 0.0705896 | − | 0.122265i | ||||
\(207\) | −1.05659e17 | + | 1.83007e17i | −0.450950 | + | 0.781069i | ||||
\(208\) | −3.21623e16 | − | 5.57068e16i | −0.132395 | − | 0.229315i | ||||
\(209\) | 2.17124e17 | 0.862207 | ||||||||
\(210\) | 2.02574e17 | − | 5.56301e16i | 0.776139 | − | 0.213140i | ||||
\(211\) | −3.29648e17 | −1.21880 | −0.609400 | − | 0.792863i | \(-0.708589\pi\) | ||||
−0.609400 | + | 0.792863i | \(0.708589\pi\) | |||||||
\(212\) | −6.09898e16 | − | 1.05637e17i | −0.217640 | − | 0.376963i | ||||
\(213\) | 1.23658e17 | − | 2.14181e17i | 0.425965 | − | 0.737793i | ||||
\(214\) | −6.20866e16 | + | 1.07537e17i | −0.206488 | + | 0.357648i | ||||
\(215\) | 7.63259e16 | + | 1.32200e17i | 0.245123 | + | 0.424565i | ||||
\(216\) | −2.50694e17 | −0.777573 | ||||||||
\(217\) | −4.67160e17 | − | 4.61394e17i | −1.39965 | − | 1.38237i | ||||
\(218\) | 3.76852e16 | 0.109081 | ||||||||
\(219\) | 3.16364e17 | + | 5.47958e17i | 0.884822 | + | 1.53256i | ||||
\(220\) | −4.89144e16 | + | 8.47222e16i | −0.132211 | + | 0.228996i | ||||
\(221\) | −3.09710e17 | + | 5.36433e17i | −0.809119 | + | 1.40144i | ||||
\(222\) | −6.42120e16 | − | 1.11218e17i | −0.162169 | − | 0.280886i | ||||
\(223\) | −1.19425e17 | −0.291614 | −0.145807 | − | 0.989313i | \(-0.546578\pi\) | ||||
−0.145807 | + | 0.989313i | \(0.546578\pi\) | |||||||
\(224\) | −5.32660e16 | − | 5.26086e16i | −0.125774 | − | 0.124221i | ||||
\(225\) | −5.82780e17 | −1.33087 | ||||||||
\(226\) | −1.65531e17 | − | 2.86708e17i | −0.365650 | − | 0.633325i | ||||
\(227\) | 2.98051e17 | − | 5.16239e17i | 0.636936 | − | 1.10321i | −0.349165 | − | 0.937061i | \(-0.613535\pi\) |
0.986101 | − | 0.166145i | \(-0.0531320\pi\) | |||||||
\(228\) | −2.24377e17 | + | 3.88633e17i | −0.463946 | + | 0.803578i | ||||
\(229\) | 1.94610e16 | + | 3.37074e16i | 0.0389402 | + | 0.0674464i | 0.884839 | − | 0.465898i | \(-0.154268\pi\) |
−0.845898 | + | 0.533344i | \(0.820935\pi\) | |||||||
\(230\) | −9.38256e16 | −0.181703 | ||||||||
\(231\) | −7.70689e17 | + | 2.11644e17i | −1.44474 | + | 0.396749i | ||||
\(232\) | −1.22678e16 | −0.0222642 | ||||||||
\(233\) | 7.56199e16 | + | 1.30977e17i | 0.132882 | + | 0.230159i | 0.924786 | − | 0.380487i | \(-0.124243\pi\) |
−0.791904 | + | 0.610645i | \(0.790910\pi\) | |||||||
\(234\) | 4.89568e17 | − | 8.47957e17i | 0.833094 | − | 1.44296i | ||||
\(235\) | −2.18697e17 | + | 3.78794e17i | −0.360440 | + | 0.624301i | ||||
\(236\) | 2.97392e17 | + | 5.15098e17i | 0.474776 | + | 0.822337i | ||||
\(237\) | 1.92084e18 | 2.97084 | ||||||||
\(238\) | −1.82262e17 | + | 6.97509e17i | −0.273130 | + | 1.04526i | ||||
\(239\) | 4.53893e17 | 0.659128 | 0.329564 | − | 0.944133i | \(-0.393098\pi\) | ||||
0.329564 | + | 0.944133i | \(0.393098\pi\) | |||||||
\(240\) | −1.01097e17 | − | 1.75104e17i | −0.142283 | − | 0.246441i | ||||
\(241\) | 1.92360e15 | − | 3.33177e15i | 0.00262414 | − | 0.00454514i | −0.864710 | − | 0.502271i | \(-0.832498\pi\) |
0.867334 | + | 0.497726i | \(0.165831\pi\) | |||||||
\(242\) | −8.12501e16 | + | 1.40729e17i | −0.107451 | + | 0.186110i | ||||
\(243\) | −3.50104e17 | − | 6.06397e17i | −0.448900 | − | 0.777518i | ||||
\(244\) | −4.01765e17 | −0.499515 | ||||||||
\(245\) | 6.52892e15 | + | 5.25664e17i | 0.00787220 | + | 0.633815i | ||||
\(246\) | −6.16211e17 | −0.720636 | ||||||||
\(247\) | −4.82437e17 | − | 8.35605e17i | −0.547284 | − | 0.947924i | ||||
\(248\) | −3.15984e17 | + | 5.47301e17i | −0.347758 | + | 0.602335i | ||||
\(249\) | 9.01766e17 | − | 1.56190e18i | 0.962939 | − | 1.66786i | ||||
\(250\) | −3.45650e17 | − | 5.98683e17i | −0.358168 | − | 0.620365i | ||||
\(251\) | −6.57705e16 | −0.0661421 | −0.0330711 | − | 0.999453i | \(-0.510529\pi\) | ||||
−0.0330711 | + | 0.999453i | \(0.510529\pi\) | |||||||
\(252\) | 2.88108e17 | − | 1.10258e18i | 0.281223 | − | 1.07623i | ||||
\(253\) | 3.56958e17 | 0.338231 | ||||||||
\(254\) | −2.56966e17 | − | 4.45077e17i | −0.236386 | − | 0.409433i | ||||
\(255\) | −9.73518e17 | + | 1.68618e18i | −0.869546 | + | 1.50610i | ||||
\(256\) | −3.60288e16 | + | 6.24037e16i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.80768e17 | + | 1.17913e18i | 0.573457 | + | 0.993257i | 0.996207 | + | 0.0870105i | \(0.0277314\pi\) |
−0.422750 | + | 0.906246i | \(0.638935\pi\) | |||||||
\(258\) | 1.20032e18 | 0.982085 | ||||||||
\(259\) | 3.09904e17 | − | 8.51047e16i | 0.246309 | − | 0.0676403i | ||||
\(260\) | 4.34738e17 | 0.335682 | ||||||||
\(261\) | −9.33691e16 | − | 1.61720e17i | −0.0700486 | − | 0.121328i | ||||
\(262\) | 1.66047e17 | − | 2.87602e17i | 0.121052 | − | 0.209668i | ||||
\(263\) | −5.48888e17 | + | 9.50701e17i | −0.388880 | + | 0.673559i | −0.992299 | − | 0.123865i | \(-0.960471\pi\) |
0.603419 | + | 0.797424i | \(0.293805\pi\) | |||||||
\(264\) | 3.84620e17 | + | 6.66181e17i | 0.264851 | + | 0.458736i | ||||
\(265\) | 8.24400e17 | 0.551815 | ||||||||
\(266\) | −7.98994e17 | − | 7.89132e17i | −0.519913 | − | 0.513496i | ||||
\(267\) | 3.21255e18 | 2.03243 | ||||||||
\(268\) | −1.00678e17 | − | 1.74379e17i | −0.0619331 | − | 0.107271i | ||||
\(269\) | −2.47091e17 | + | 4.27975e17i | −0.147814 | + | 0.256021i | −0.930419 | − | 0.366497i | \(-0.880557\pi\) |
0.782605 | + | 0.622518i | \(0.213890\pi\) | |||||||
\(270\) | 8.47159e17 | − | 1.46732e18i | 0.492875 | − | 0.853685i | ||||
\(271\) | −8.47548e17 | − | 1.46800e18i | −0.479617 | − | 0.830721i | 0.520110 | − | 0.854099i | \(-0.325891\pi\) |
−0.999727 | + | 0.0233786i | \(0.992558\pi\) | |||||||
\(272\) | 6.93884e17 | 0.381962 | ||||||||
\(273\) | 2.52693e18 | + | 2.49574e18i | 1.35324 | + | 1.33653i | ||||
\(274\) | −2.21006e18 | −1.15153 | ||||||||
\(275\) | 4.92215e17 | + | 8.52541e17i | 0.249551 | + | 0.432235i | ||||
\(276\) | −3.68881e17 | + | 6.38921e17i | −0.181999 | + | 0.315231i | ||||
\(277\) | 1.83709e17 | − | 3.18194e17i | 0.0882130 | − | 0.152789i | −0.818543 | − | 0.574446i | \(-0.805218\pi\) |
0.906756 | + | 0.421656i | \(0.138551\pi\) | |||||||
\(278\) | 7.24791e17 | + | 1.25537e18i | 0.338748 | + | 0.586729i | ||||
\(279\) | −9.61969e18 | −4.37653 | ||||||||
\(280\) | 4.87920e17 | − | 1.33991e17i | 0.216104 | − | 0.0593457i | ||||
\(281\) | 1.26913e18 | 0.547280 | 0.273640 | − | 0.961832i | \(-0.411772\pi\) | ||||
0.273640 | + | 0.961832i | \(0.411772\pi\) | |||||||
\(282\) | 1.71964e18 | + | 2.97850e18i | 0.722053 | + | 1.25063i | ||||
\(283\) | 1.55369e18 | − | 2.69107e18i | 0.635281 | − | 1.10034i | −0.351174 | − | 0.936310i | \(-0.614217\pi\) |
0.986455 | − | 0.164030i | \(-0.0524492\pi\) | |||||||
\(284\) | 2.97841e17 | − | 5.15876e17i | 0.118603 | − | 0.205427i | ||||
\(285\) | −1.51646e18 | − | 2.62658e18i | −0.588157 | − | 1.01872i | ||||
\(286\) | −1.65395e18 | −0.624853 | ||||||||
\(287\) | 3.89855e17 | − | 1.49196e18i | 0.143479 | − | 0.549088i | ||||
\(288\) | −1.09685e18 | −0.393280 | ||||||||
\(289\) | −1.90970e18 | − | 3.30769e18i | −0.667161 | − | 1.15556i | ||||
\(290\) | 4.14561e16 | − | 7.18041e16i | 0.0141125 | − | 0.0244435i | ||||
\(291\) | 1.65577e18 | − | 2.86788e18i | 0.549291 | − | 0.951401i | ||||
\(292\) | 7.61993e17 | + | 1.31981e18i | 0.246365 | + | 0.426717i | ||||
\(293\) | −2.71988e18 | −0.857123 | −0.428562 | − | 0.903513i | \(-0.640979\pi\) | ||||
−0.428562 | + | 0.903513i | \(0.640979\pi\) | |||||||
\(294\) | 3.60526e18 | + | 2.02222e18i | 1.10747 | + | 0.621188i | ||||
\(295\) | −4.01985e18 | −1.20377 | ||||||||
\(296\) | −1.54661e17 | − | 2.67880e17i | −0.0451536 | − | 0.0782083i | ||||
\(297\) | −3.22300e18 | + | 5.58240e18i | −0.917459 | + | 1.58909i | ||||
\(298\) | 9.37614e17 | − | 1.62399e18i | 0.260257 | − | 0.450778i | ||||
\(299\) | −7.93137e17 | − | 1.37375e18i | −0.214691 | − | 0.371856i | ||||
\(300\) | −2.03463e18 | −0.537125 | ||||||||
\(301\) | −7.59400e17 | + | 2.90619e18i | −0.195534 | + | 0.748299i | ||||
\(302\) | −5.27474e18 | −1.32480 | ||||||||
\(303\) | 2.57555e18 | + | 4.46098e18i | 0.631030 | + | 1.09298i | ||||
\(304\) | −5.40434e17 | + | 9.36059e17i | −0.129179 | + | 0.223744i | ||||
\(305\) | 1.35767e18 | − | 2.35155e18i | 0.316624 | − | 0.548410i | ||||
\(306\) | 5.28108e18 | + | 9.14710e18i | 1.20174 | + | 2.08148i | ||||
\(307\) | 6.52602e18 | 1.44914 | 0.724571 | − | 0.689201i | \(-0.242038\pi\) | ||||
0.724571 | + | 0.689201i | \(0.242038\pi\) | |||||||
\(308\) | −1.85628e18 | + | 5.09764e17i | −0.402266 | + | 0.110469i | ||||
\(309\) | 1.69520e18 | 0.358536 | ||||||||
\(310\) | −2.13558e18 | − | 3.69894e18i | −0.440863 | − | 0.763597i | ||||
\(311\) | −1.22467e18 | + | 2.12120e18i | −0.246784 | + | 0.427443i | −0.962632 | − | 0.270814i | \(-0.912707\pi\) |
0.715848 | + | 0.698257i | \(0.246041\pi\) | |||||||
\(312\) | 1.70920e18 | − | 2.96042e18i | 0.336228 | − | 0.582364i | ||||
\(313\) | −1.67046e18 | − | 2.89333e18i | −0.320815 | − | 0.555668i | 0.659841 | − | 0.751405i | \(-0.270623\pi\) |
−0.980656 | + | 0.195737i | \(0.937290\pi\) | |||||||
\(314\) | 2.85148e18 | 0.534686 | ||||||||
\(315\) | 5.47983e18 | + | 5.41219e18i | 1.00332 | + | 0.990932i | ||||
\(316\) | 4.62653e18 | 0.827185 | ||||||||
\(317\) | −2.37971e18 | − | 4.12178e18i | −0.415508 | − | 0.719681i | 0.579974 | − | 0.814635i | \(-0.303063\pi\) |
−0.995482 | + | 0.0949545i | \(0.969729\pi\) | |||||||
\(318\) | 3.24118e18 | − | 5.61389e18i | 0.552713 | − | 0.957327i | ||||
\(319\) | −1.57719e17 | + | 2.73177e17i | −0.0262696 | + | 0.0455003i | ||||
\(320\) | −2.43501e17 | − | 4.21756e17i | −0.0396165 | − | 0.0686177i | ||||
\(321\) | −6.59894e18 | −1.04878 | ||||||||
\(322\) | −1.31356e18 | − | 1.29735e18i | −0.203954 | − | 0.201437i | ||||
\(323\) | 1.04083e19 | 1.57892 | ||||||||
\(324\) | −2.90896e18 | − | 5.03846e18i | −0.431171 | − | 0.746811i | ||||
\(325\) | 2.18734e18 | − | 3.78858e18i | 0.316804 | − | 0.548721i | ||||
\(326\) | 1.53759e18 | − | 2.66318e18i | 0.217625 | − | 0.376937i | ||||
\(327\) | 1.00135e18 | + | 1.73439e18i | 0.138509 | + | 0.239905i | ||||
\(328\) | −1.48420e18 | −0.200650 | ||||||||
\(329\) | −8.29945e18 | + | 2.27916e18i | −1.09668 | + | 0.301166i | ||||
\(330\) | −5.19891e18 | −0.671519 | ||||||||
\(331\) | −3.21187e17 | − | 5.56312e17i | −0.0405553 | − | 0.0702439i | 0.845035 | − | 0.534711i | \(-0.179579\pi\) |
−0.885591 | + | 0.464467i | \(0.846246\pi\) | |||||||
\(332\) | 2.17199e18 | − | 3.76200e18i | 0.268116 | − | 0.464390i | ||||
\(333\) | 2.35421e18 | − | 4.07762e18i | 0.284128 | − | 0.492124i | ||||
\(334\) | 3.21075e18 | + | 5.56118e18i | 0.378886 | + | 0.656249i | ||||
\(335\) | 1.36086e18 | 0.157029 | ||||||||
\(336\) | 1.00585e18 | − | 3.84936e18i | 0.113499 | − | 0.434354i | ||||
\(337\) | 4.32492e18 | 0.477258 | 0.238629 | − | 0.971111i | \(-0.423302\pi\) | ||||
0.238629 | + | 0.971111i | \(0.423302\pi\) | |||||||
\(338\) | 3.99080e17 | + | 6.91226e17i | 0.0430709 | + | 0.0746011i | ||||
\(339\) | 8.79681e18 | − | 1.52365e19i | 0.928597 | − | 1.60838i | ||||
\(340\) | −2.34481e18 | + | 4.06133e18i | −0.242112 | + | 0.419350i | ||||
\(341\) | 8.12478e18 | + | 1.40725e19i | 0.820642 | + | 1.42139i | ||||
\(342\) | −1.64527e19 | −1.62571 | ||||||||
\(343\) | −7.17708e18 | + | 7.44960e18i | −0.693812 | + | 0.720156i | ||||
\(344\) | 2.89109e18 | 0.273447 | ||||||||
\(345\) | −2.49309e18 | − | 4.31815e18i | −0.230725 | − | 0.399627i | ||||
\(346\) | −1.34750e18 | + | 2.33394e18i | −0.122028 | + | 0.211358i | ||||
\(347\) | 1.10959e18 | − | 1.92186e18i | 0.0983309 | − | 0.170314i | −0.812663 | − | 0.582734i | \(-0.801983\pi\) |
0.910994 | + | 0.412420i | \(0.135316\pi\) | |||||||
\(348\) | −3.25974e17 | − | 5.64604e17i | −0.0282709 | − | 0.0489666i | ||||
\(349\) | 3.25470e18 | 0.276262 | 0.138131 | − | 0.990414i | \(-0.455891\pi\) | ||||
0.138131 | + | 0.990414i | \(0.455891\pi\) | |||||||
\(350\) | 1.28724e18 | − | 4.92619e18i | 0.106942 | − | 0.409262i | ||||
\(351\) | 2.86452e19 | 2.32942 | ||||||||
\(352\) | 9.26394e17 | + | 1.60456e18i | 0.0737439 | + | 0.127728i | ||||
\(353\) | −6.00727e18 | + | 1.04049e19i | −0.468130 | + | 0.810825i | −0.999337 | − | 0.0364172i | \(-0.988405\pi\) |
0.531207 | + | 0.847242i | \(0.321739\pi\) | |||||||
\(354\) | −1.58043e19 | + | 2.73738e19i | −1.20573 | + | 2.08839i | ||||
\(355\) | 2.01296e18 | + | 3.48655e18i | 0.150357 | + | 0.260426i | ||||
\(356\) | 7.73773e18 | 0.565898 | ||||||||
\(357\) | −3.69446e19 | + | 1.01456e19i | −2.64569 | + | 0.726549i | ||||
\(358\) | 4.45373e18 | 0.312321 | ||||||||
\(359\) | −3.75173e18 | − | 6.49818e18i | −0.257646 | − | 0.446255i | 0.707965 | − | 0.706247i | \(-0.249613\pi\) |
−0.965611 | + | 0.259992i | \(0.916280\pi\) | |||||||
\(360\) | 3.70652e18 | − | 6.41988e18i | 0.249286 | − | 0.431776i | ||||
\(361\) | −5.15979e17 | + | 8.93703e17i | −0.0339882 | + | 0.0588693i | ||||
\(362\) | −6.72319e18 | − | 1.16449e19i | −0.433772 | − | 0.751315i | ||||
\(363\) | −8.63574e18 | −0.545758 | ||||||||
\(364\) | 6.08636e18 | + | 6.01124e18i | 0.376788 | + | 0.372138i | ||||
\(365\) | −1.02999e19 | −0.624648 | ||||||||
\(366\) | −1.06755e19 | − | 1.84905e19i | −0.634279 | − | 1.09860i | ||||
\(367\) | −1.24394e19 | + | 2.15457e19i | −0.724111 | + | 1.25420i | 0.235228 | + | 0.971940i | \(0.424416\pi\) |
−0.959339 | + | 0.282256i | \(0.908917\pi\) | |||||||
\(368\) | −8.88486e17 | + | 1.53890e18i | −0.0506748 | + | 0.0877713i | ||||
\(369\) | −1.12961e19 | − | 1.95654e19i | −0.631294 | − | 1.09343i | ||||
\(370\) | 2.09055e18 | 0.114485 | ||||||||
\(371\) | 1.15416e19 | + | 1.13992e19i | 0.619389 | + | 0.611743i | ||||
\(372\) | −3.35847e19 | −1.76632 | ||||||||
\(373\) | 1.19560e19 | + | 2.07085e19i | 0.616270 | + | 1.06741i | 0.990160 | + | 0.139938i | \(0.0446902\pi\) |
−0.373891 | + | 0.927473i | \(0.621976\pi\) | |||||||
\(374\) | 8.92079e18 | − | 1.54513e19i | 0.450678 | − | 0.780597i | ||||
\(375\) | 1.83689e19 | − | 3.18158e19i | 0.909595 | − | 1.57546i | ||||
\(376\) | 4.14192e18 | + | 7.17401e18i | 0.201045 | + | 0.348220i | ||||
\(377\) | 1.40176e18 | 0.0666983 | ||||||||
\(378\) | 3.21493e19 | − | 8.82872e18i | 1.49963 | − | 0.411822i | ||||
\(379\) | −3.91987e19 | −1.79258 | −0.896288 | − | 0.443473i | \(-0.853746\pi\) | ||||
−0.896288 | + | 0.443473i | \(0.853746\pi\) | |||||||
\(380\) | −3.65253e18 | − | 6.32636e18i | −0.163763 | − | 0.283646i | ||||
\(381\) | 1.36559e19 | − | 2.36527e19i | 0.600321 | − | 1.03979i | ||||
\(382\) | 1.26871e18 | − | 2.19747e18i | 0.0546873 | − | 0.0947212i | ||||
\(383\) | −1.18029e19 | − | 2.04433e19i | −0.498884 | − | 0.864092i | 0.501116 | − | 0.865380i | \(-0.332923\pi\) |
−0.999999 | + | 0.00128859i | \(0.999590\pi\) | |||||||
\(384\) | −3.82936e18 | −0.158724 | ||||||||
\(385\) | 3.28917e18 | − | 1.25875e19i | 0.133700 | − | 0.511663i | ||||
\(386\) | 3.11433e19 | 1.24154 | ||||||||
\(387\) | 2.20038e19 | + | 3.81116e19i | 0.860329 | + | 1.49013i | ||||
\(388\) | 3.98808e18 | − | 6.90756e18i | 0.152942 | − | 0.264903i | ||||
\(389\) | −9.85557e18 | + | 1.70703e19i | −0.370732 | + | 0.642126i | −0.989678 | − | 0.143307i | \(-0.954226\pi\) |
0.618947 | + | 0.785433i | \(0.287560\pi\) | |||||||
\(390\) | 1.15517e19 | + | 2.00080e19i | 0.426245 | + | 0.738278i | ||||
\(391\) | 1.71115e19 | 0.619387 | ||||||||
\(392\) | 8.68362e18 | + | 4.87071e18i | 0.308358 | + | 0.172960i | ||||
\(393\) | 1.76485e19 | 0.614842 | ||||||||
\(394\) | 1.40305e19 | + | 2.43015e19i | 0.479568 | + | 0.830637i | ||||
\(395\) | −1.56342e19 | + | 2.70793e19i | −0.524322 | + | 0.908153i | ||||
\(396\) | −1.41014e19 | + | 2.44243e19i | −0.464032 | + | 0.803727i | ||||
\(397\) | 1.21990e19 | + | 2.11293e19i | 0.393908 | + | 0.682269i | 0.992961 | − | 0.118440i | \(-0.0377895\pi\) |
−0.599053 | + | 0.800709i | \(0.704456\pi\) | |||||||
\(398\) | −2.92673e19 | −0.927384 | ||||||||
\(399\) | 1.50879e19 | − | 5.77406e19i | 0.469172 | − | 1.79550i | ||||
\(400\) | −4.90059e18 | −0.149554 | ||||||||
\(401\) | 5.62777e18 | + | 9.74758e18i | 0.168560 | + | 0.291954i | 0.937914 | − | 0.346869i | \(-0.112755\pi\) |
−0.769354 | + | 0.638823i | \(0.779422\pi\) | |||||||
\(402\) | 5.35032e18 | − | 9.26702e18i | 0.157284 | − | 0.272424i | ||||
\(403\) | 3.61054e19 | − | 6.25365e19i | 1.04180 | − | 1.80445i | ||||
\(404\) | 6.20346e18 | + | 1.07447e19i | 0.175701 | + | 0.304323i | ||||
\(405\) | 3.93204e19 | 1.09322 | ||||||||
\(406\) | 1.57324e18 | − | 4.32037e17i | 0.0429388 | − | 0.0117917i | ||||
\(407\) | −7.95346e18 | −0.213107 | ||||||||
\(408\) | 1.84375e19 | + | 3.19348e19i | 0.485011 | + | 0.840064i | ||||
\(409\) | −7.40448e18 | + | 1.28249e19i | −0.191236 | + | 0.331231i | −0.945660 | − | 0.325157i | \(-0.894583\pi\) |
0.754424 | + | 0.656387i | \(0.227916\pi\) | |||||||
\(410\) | 5.01550e18 | − | 8.68710e18i | 0.127185 | − | 0.220291i | ||||
\(411\) | −5.87245e19 | − | 1.01714e20i | −1.46220 | − | 2.53260i | ||||
\(412\) | 4.08305e18 | 0.0998288 | ||||||||
\(413\) | −5.62781e19 | − | 5.55835e19i | −1.35118 | − | 1.33451i | ||||
\(414\) | −2.70487e19 | −0.637740 | ||||||||
\(415\) | 1.46794e19 | + | 2.54255e19i | 0.339898 | + | 0.588720i | ||||
\(416\) | 4.11678e18 | − | 7.13046e18i | 0.0936175 | − | 0.162150i | ||||
\(417\) | −3.85175e19 | + | 6.67143e19i | −0.860277 | + | 1.49004i | ||||
\(418\) | 1.38960e19 | + | 2.40685e19i | 0.304836 | + | 0.527992i | ||||
\(419\) | −3.94881e19 | −0.850866 | −0.425433 | − | 0.904990i | \(-0.639878\pi\) | ||||
−0.425433 | + | 0.904990i | \(0.639878\pi\) | |||||||
\(420\) | 1.91314e19 | + | 1.88953e19i | 0.404928 | + | 0.399930i | ||||
\(421\) | 1.88866e19 | 0.392678 | 0.196339 | − | 0.980536i | \(-0.437095\pi\) | ||||
0.196339 | + | 0.980536i | \(0.437095\pi\) | |||||||
\(422\) | −2.10975e19 | − | 3.65419e19i | −0.430911 | − | 0.746359i | ||||
\(423\) | −6.30474e19 | + | 1.09201e20i | −1.26507 | + | 2.19117i | ||||
\(424\) | 7.80669e18 | − | 1.35216e19i | 0.153894 | − | 0.266553i | ||||
\(425\) | 2.35953e19 | + | 4.08683e19i | 0.456993 | + | 0.791534i | ||||
\(426\) | 3.16564e19 | 0.602406 | ||||||||
\(427\) | 5.15229e19 | − | 1.41490e19i | 0.963365 | − | 0.264556i | ||||
\(428\) | −1.58942e19 | −0.292018 | ||||||||
\(429\) | −4.39480e19 | − | 7.61202e19i | −0.793432 | − | 1.37426i | ||||
\(430\) | −9.76971e18 | + | 1.69216e19i | −0.173328 | + | 0.300213i | ||||
\(431\) | 2.26313e19 | − | 3.91985e19i | 0.394575 | − | 0.683424i | −0.598472 | − | 0.801144i | \(-0.704225\pi\) |
0.993047 | + | 0.117720i | \(0.0375584\pi\) | |||||||
\(432\) | −1.60444e19 | − | 2.77898e19i | −0.274913 | − | 0.476164i | ||||
\(433\) | 8.27306e19 | 1.39318 | 0.696590 | − | 0.717470i | \(-0.254700\pi\) | ||||
0.696590 | + | 0.717470i | \(0.254700\pi\) | |||||||
\(434\) | 2.12478e19 | − | 8.13145e19i | 0.351675 | − | 1.34585i | ||||
\(435\) | 4.40620e18 | 0.0716795 | ||||||||
\(436\) | 2.41185e18 | + | 4.17745e18i | 0.0385658 | + | 0.0667979i | ||||
\(437\) | −1.33273e19 | + | 2.30836e19i | −0.209475 | + | 0.362822i | ||||
\(438\) | −4.04946e19 | + | 7.01387e19i | −0.625664 | + | 1.08368i | ||||
\(439\) | −5.12022e17 | − | 8.86848e17i | −0.00777687 | − | 0.0134699i | 0.862111 | − | 0.506720i | \(-0.169142\pi\) |
−0.869888 | + | 0.493250i | \(0.835809\pi\) | |||||||
\(440\) | −1.25221e19 | −0.186974 | ||||||||
\(441\) | 1.88220e18 | + | 1.51542e20i | 0.0276298 | + | 2.22456i | ||||
\(442\) | −7.92856e19 | −1.14427 | ||||||||
\(443\) | 3.01244e19 | + | 5.21771e19i | 0.427456 | + | 0.740375i | 0.996646 | − | 0.0818307i | \(-0.0260767\pi\) |
−0.569191 | + | 0.822206i | \(0.692743\pi\) | |||||||
\(444\) | 8.21914e18 | − | 1.42360e19i | 0.114671 | − | 0.198616i | ||||
\(445\) | −2.61477e19 | + | 4.52892e19i | −0.358702 | + | 0.621291i | ||||
\(446\) | −7.64319e18 | − | 1.32384e19i | −0.103101 | − | 0.178576i | ||||
\(447\) | 9.96552e19 | 1.32188 | ||||||||
\(448\) | 2.42270e18 | − | 9.27155e18i | 0.0316020 | − | 0.120939i | ||||
\(449\) | −4.35637e19 | −0.558827 | −0.279414 | − | 0.960171i | \(-0.590140\pi\) | ||||
−0.279414 | + | 0.960171i | \(0.590140\pi\) | |||||||
\(450\) | −3.72979e19 | − | 6.46019e19i | −0.470534 | − | 0.814988i | ||||
\(451\) | −1.90814e19 | + | 3.30499e19i | −0.236747 | + | 0.410059i | ||||
\(452\) | 2.11880e19 | − | 3.66986e19i | 0.258554 | − | 0.447828i | ||||
\(453\) | −1.40158e20 | − | 2.42760e20i | −1.68221 | − | 2.91368i | ||||
\(454\) | 7.63010e19 | 0.900764 | ||||||||
\(455\) | −5.57514e19 | + | 1.53102e19i | −0.647396 | + | 0.177785i | ||||
\(456\) | −5.74406e19 | −0.656119 | ||||||||
\(457\) | −5.95635e19 | − | 1.03167e20i | −0.669282 | − | 1.15923i | −0.978105 | − | 0.208111i | \(-0.933269\pi\) |
0.308823 | − | 0.951119i | \(-0.400065\pi\) | |||||||
\(458\) | −2.49100e18 | + | 4.31454e18i | −0.0275349 | + | 0.0476918i | ||||
\(459\) | −1.54501e20 | + | 2.67604e20i | −1.68010 | + | 2.91003i | ||||
\(460\) | −6.00484e18 | − | 1.04007e19i | −0.0642418 | − | 0.111270i | ||||
\(461\) | 8.38337e19 | 0.882392 | 0.441196 | − | 0.897411i | \(-0.354554\pi\) | ||||
0.441196 | + | 0.897411i | \(0.354554\pi\) | |||||||
\(462\) | −7.27851e19 | − | 7.18867e19i | −0.753750 | − | 0.744447i | ||||
\(463\) | 1.31703e20 | 1.34195 | 0.670976 | − | 0.741479i | \(-0.265875\pi\) | ||||
0.670976 | + | 0.741479i | \(0.265875\pi\) | |||||||
\(464\) | −7.85141e17 | − | 1.35990e18i | −0.00787159 | − | 0.0136340i | ||||
\(465\) | 1.13491e20 | − | 1.96573e20i | 1.11961 | − | 1.93921i | ||||
\(466\) | −9.67934e18 | + | 1.67651e19i | −0.0939618 | + | 0.162747i | ||||
\(467\) | 4.91242e19 | + | 8.50856e19i | 0.469266 | + | 0.812792i | 0.999383 | − | 0.0351322i | \(-0.0111852\pi\) |
−0.530117 | + | 0.847925i | \(0.677852\pi\) | |||||||
\(468\) | 1.25329e20 | 1.17817 | ||||||||
\(469\) | 1.90522e19 | + | 1.88170e19i | 0.176258 | + | 0.174082i | ||||
\(470\) | −5.59864e19 | −0.509740 | ||||||||
\(471\) | 7.57682e19 | + | 1.31234e20i | 0.678938 | + | 1.17596i | ||||
\(472\) | −3.80662e19 | + | 6.59325e19i | −0.335718 | + | 0.581480i | ||||
\(473\) | 3.71687e19 | − | 6.43780e19i | 0.322640 | − | 0.558829i | ||||
\(474\) | 1.22934e20 | + | 2.12928e20i | 1.05035 | + | 1.81926i | ||||
\(475\) | −7.35092e19 | −0.618215 | ||||||||
\(476\) | −8.89846e19 | + | 2.44366e19i | −0.736652 | + | 0.202297i | ||||
\(477\) | 2.37664e20 | 1.93676 | ||||||||
\(478\) | 2.90492e19 | + | 5.03147e19i | 0.233037 | + | 0.403632i | ||||
\(479\) | 6.55003e19 | − | 1.13450e20i | 0.517282 | − | 0.895958i | −0.482517 | − | 0.875887i | \(-0.660277\pi\) |
0.999799 | − | 0.0200715i | \(-0.00638937\pi\) | |||||||
\(480\) | 1.29404e19 | − | 2.24134e19i | 0.100609 | − | 0.174260i | ||||
\(481\) | 1.76721e19 | + | 3.06089e19i | 0.135269 | + | 0.234293i | ||||
\(482\) | 4.92441e17 | 0.00371109 | ||||||||
\(483\) | 2.48048e19 | − | 9.49269e19i | 0.184049 | − | 0.704346i | ||||
\(484\) | −2.08000e19 | −0.151958 | ||||||||
\(485\) | 2.69535e19 | + | 4.66848e19i | 0.193889 | + | 0.335825i | ||||
\(486\) | 4.48133e19 | − | 7.76189e19i | 0.317420 | − | 0.549788i | ||||
\(487\) | 8.47960e19 | − | 1.46871e20i | 0.591437 | − | 1.02440i | −0.402602 | − | 0.915375i | \(-0.631894\pi\) |
0.994039 | − | 0.109024i | \(-0.0347724\pi\) | |||||||
\(488\) | −2.57130e19 | − | 4.45362e19i | −0.176605 | − | 0.305889i | ||||
\(489\) | 1.63424e20 | 1.10535 | ||||||||
\(490\) | −5.78526e19 | + | 3.43662e19i | −0.385347 | + | 0.228908i | ||||
\(491\) | −2.15412e20 | −1.41305 | −0.706527 | − | 0.707686i | \(-0.749739\pi\) | ||||
−0.706527 | + | 0.707686i | \(0.749739\pi\) | |||||||
\(492\) | −3.94375e19 | − | 6.83077e19i | −0.254783 | − | 0.441298i | ||||
\(493\) | −7.56058e18 | + | 1.30953e19i | −0.0481064 | + | 0.0833228i | ||||
\(494\) | 6.17519e19 | − | 1.06957e20i | 0.386988 | − | 0.670284i | ||||
\(495\) | −9.53043e19 | − | 1.65072e20i | −0.588266 | − | 1.01891i | ||||
\(496\) | −8.08919e19 | −0.491805 | ||||||||
\(497\) | −2.00279e19 | + | 7.66457e19i | −0.119939 | + | 0.459002i | ||||
\(498\) | 2.30852e20 | 1.36180 | ||||||||
\(499\) | −2.52135e19 | − | 4.36711e19i | −0.146514 | − | 0.253770i | 0.783423 | − | 0.621489i | \(-0.213472\pi\) |
−0.929937 | + | 0.367719i | \(0.880139\pi\) | |||||||
\(500\) | 4.42432e19 | − | 7.66315e19i | 0.253263 | − | 0.438664i | ||||
\(501\) | −1.70629e20 | + | 2.95538e20i | −0.962209 | + | 1.66660i | ||||
\(502\) | −4.20931e18 | − | 7.29074e18i | −0.0233848 | − | 0.0405036i | ||||
\(503\) | −2.17637e20 | −1.19117 | −0.595584 | − | 0.803293i | \(-0.703079\pi\) | ||||
−0.595584 | + | 0.803293i | \(0.703079\pi\) | |||||||
\(504\) | 1.40661e20 | − | 3.86277e19i | 0.758480 | − | 0.208291i | ||||
\(505\) | −8.38522e19 | −0.445481 | ||||||||
\(506\) | 2.28453e19 | + | 3.95692e19i | 0.119583 | + | 0.207123i | ||||
\(507\) | −2.12083e19 | + | 3.67338e19i | −0.109382 | + | 0.189455i | ||||
\(508\) | 3.28916e19 | − | 5.69699e19i | 0.167150 | − | 0.289513i | ||||
\(509\) | 1.05689e20 | + | 1.83059e20i | 0.529233 | + | 0.916659i | 0.999419 | + | 0.0340912i | \(0.0108537\pi\) |
−0.470186 | + | 0.882568i | \(0.655813\pi\) | |||||||
\(510\) | −2.49221e20 | −1.22972 | ||||||||
\(511\) | −1.44199e20 | − | 1.42419e20i | −0.701140 | − | 0.692486i | ||||
\(512\) | −9.22337e18 | −0.0441942 | ||||||||
\(513\) | −2.40667e20 | − | 4.16848e20i | −1.13641 | − | 1.96833i | ||||
\(514\) | −8.71383e19 | + | 1.50928e20i | −0.405495 | + | 0.702338i | ||||
\(515\) | −1.37977e19 | + | 2.38983e19i | −0.0632778 | + | 0.109600i | ||||
\(516\) | 7.68205e19 | + | 1.33057e20i | 0.347220 | + | 0.601402i | ||||
\(517\) | 2.12999e20 | 0.948852 | ||||||||
\(518\) | 2.92678e19 | + | 2.89066e19i | 0.128504 | + | 0.126918i | ||||
\(519\) | −1.43220e20 | −0.619797 | ||||||||
\(520\) | 2.78233e19 | + | 4.81913e19i | 0.118681 | + | 0.205562i | ||||
\(521\) | −2.21749e20 | + | 3.84080e20i | −0.932348 | + | 1.61487i | −0.153051 | + | 0.988218i | \(0.548910\pi\) |
−0.779297 | + | 0.626655i | \(0.784423\pi\) | |||||||
\(522\) | 1.19512e19 | − | 2.07002e19i | 0.0495318 | − | 0.0857917i | ||||
\(523\) | −6.11763e19 | − | 1.05960e20i | −0.249931 | − | 0.432893i | 0.713575 | − | 0.700578i | \(-0.247075\pi\) |
−0.963506 | + | 0.267685i | \(0.913741\pi\) | |||||||
\(524\) | 4.25081e19 | 0.171193 | ||||||||
\(525\) | 2.60923e20 | − | 7.16536e19i | 1.03590 | − | 0.284475i | ||||
\(526\) | −1.40515e20 | −0.549959 | ||||||||
\(527\) | 3.89478e20 | + | 6.74595e20i | 1.50281 | + | 2.60294i | ||||
\(528\) | −4.92314e19 | + | 8.52712e19i | −0.187278 | + | 0.324375i | ||||
\(529\) | 1.11407e20 | − | 1.92963e20i | 0.417826 | − | 0.723696i | ||||
\(530\) | 5.27616e19 | + | 9.13857e19i | 0.195096 | + | 0.337917i | ||||
\(531\) | −1.15887e21 | −4.22499 | ||||||||
\(532\) | 3.63406e19 | − | 1.39074e20i | 0.130634 | − | 0.499929i | ||||
\(533\) | 1.69590e20 | 0.601100 | ||||||||
\(534\) | 2.05603e20 | + | 3.56115e20i | 0.718571 | + | 1.24460i | ||||
\(535\) | 5.37105e19 | − | 9.30292e19i | 0.185100 | − | 0.320602i | ||||
\(536\) | 1.28868e19 | − | 2.23205e19i | 0.0437933 | − | 0.0758522i | ||||
\(537\) | 1.18342e20 | + | 2.04975e20i | 0.396582 | + | 0.686900i | ||||
\(538\) | −6.32554e19 | −0.209040 | ||||||||
\(539\) | 2.20099e20 | − | 1.30746e20i | 0.717303 | − | 0.426100i | ||||
\(540\) | 2.16873e20 | 0.697031 | ||||||||
\(541\) | −1.88669e19 | − | 3.26784e19i | −0.0598027 | − | 0.103581i | 0.834574 | − | 0.550896i | \(-0.185714\pi\) |
−0.894377 | + | 0.447314i | \(0.852380\pi\) | |||||||
\(542\) | 1.08486e20 | − | 1.87903e20i | 0.339140 | − | 0.587408i | ||||
\(543\) | 3.57291e20 | − | 6.18846e20i | 1.10160 | − | 1.90802i | ||||
\(544\) | 4.44086e19 | + | 7.69180e19i | 0.135044 | + | 0.233903i | ||||
\(545\) | −3.26011e19 | −0.0977818 | ||||||||
\(546\) | −1.14932e20 | + | 4.39841e20i | −0.340015 | + | 1.30122i | ||||
\(547\) | −3.70815e20 | −1.08206 | −0.541031 | − | 0.841003i | \(-0.681966\pi\) | ||||
−0.541031 | + | 0.841003i | \(0.681966\pi\) | |||||||
\(548\) | −1.41444e20 | − | 2.44987e20i | −0.407126 | − | 0.705163i | ||||
\(549\) | 3.91398e20 | − | 6.77920e20i | 1.11129 | − | 1.92480i | ||||
\(550\) | −6.30035e19 | + | 1.09125e20i | −0.176459 | + | 0.305637i | ||||
\(551\) | −1.17772e19 | − | 2.03986e19i | −0.0325390 | − | 0.0563591i | ||||
\(552\) | −9.44336e19 | −0.257385 | ||||||||
\(553\) | −5.93312e20 | + | 1.62933e20i | −1.59531 | + | 0.438097i | ||||
\(554\) | 4.70296e19 | 0.124752 | ||||||||
\(555\) | 5.55491e19 | + | 9.62139e19i | 0.145372 | + | 0.251791i | ||||
\(556\) | −9.27732e19 | + | 1.60688e20i | −0.239531 | + | 0.414880i | ||||
\(557\) | 1.44839e20 | − | 2.50868e20i | 0.368953 | − | 0.639046i | −0.620449 | − | 0.784247i | \(-0.713050\pi\) |
0.989402 | + | 0.145201i | \(0.0463829\pi\) | |||||||
\(558\) | −6.15660e20 | − | 1.06635e21i | −1.54734 | − | 2.68006i | ||||
\(559\) | −3.30345e20 | −0.819181 | ||||||||
\(560\) | 4.60799e19 | + | 4.55111e19i | 0.112746 | + | 0.111354i | ||||
\(561\) | 9.48155e20 | 2.28906 | ||||||||
\(562\) | 8.12245e19 | + | 1.40685e20i | 0.193493 | + | 0.335139i | ||||
\(563\) | 1.01470e20 | − | 1.75751e20i | 0.238519 | − | 0.413128i | −0.721770 | − | 0.692133i | \(-0.756671\pi\) |
0.960290 | + | 0.279005i | \(0.0900046\pi\) | |||||||
\(564\) | −2.20114e20 | + | 3.81249e20i | −0.510569 | + | 0.884331i | ||||
\(565\) | 1.43199e20 | + | 2.48028e20i | 0.327776 | + | 0.567724i | ||||
\(566\) | 3.97745e20 | 0.898424 | ||||||||
\(567\) | 5.50488e20 | + | 5.43693e20i | 1.22709 | + | 1.21194i | ||||
\(568\) | 7.62474e19 | 0.167731 | ||||||||
\(569\) | −8.47647e19 | − | 1.46817e20i | −0.184023 | − | 0.318738i | 0.759224 | − | 0.650830i | \(-0.225579\pi\) |
−0.943247 | + | 0.332092i | \(0.892246\pi\) | |||||||
\(570\) | 1.94106e20 | − | 3.36202e20i | 0.415890 | − | 0.720342i | ||||
\(571\) | 2.59990e20 | − | 4.50315e20i | 0.549776 | − | 0.952239i | −0.448514 | − | 0.893776i | \(-0.648047\pi\) |
0.998290 | − | 0.0584633i | \(-0.0186201\pi\) | |||||||
\(572\) | −1.05853e20 | − | 1.83343e20i | −0.220919 | − | 0.382643i | ||||
\(573\) | 1.34846e20 | 0.277765 | ||||||||
\(574\) | 1.90336e20 | − | 5.22693e19i | 0.386974 | − | 0.106269i | ||||
\(575\) | −1.20851e20 | −0.242516 | ||||||||
\(576\) | −7.01981e19 | − | 1.21587e20i | −0.139045 | − | 0.240834i | ||||
\(577\) | −2.09625e19 | + | 3.63081e19i | −0.0409850 | + | 0.0709880i | −0.885790 | − | 0.464086i | \(-0.846383\pi\) |
0.844805 | + | 0.535074i | \(0.179716\pi\) | |||||||
\(578\) | 2.44441e20 | − | 4.23385e20i | 0.471754 | − | 0.817102i | ||||
\(579\) | 8.27525e20 | + | 1.43332e21i | 1.57649 | + | 2.73056i | ||||
\(580\) | 1.06128e19 | 0.0199581 | ||||||||
\(581\) | −1.46052e20 | + | 5.58934e20i | −0.271136 | + | 1.03762i | ||||
\(582\) | 4.23877e20 | 0.776815 | ||||||||
\(583\) | −2.00730e20 | − | 3.47675e20i | −0.363161 | − | 0.629013i | ||||
\(584\) | −9.75351e19 | + | 1.68936e20i | −0.174207 | + | 0.301735i | ||||
\(585\) | −4.23520e20 | + | 7.33558e20i | −0.746801 | + | 1.29350i | ||||
\(586\) | −1.74073e20 | − | 3.01503e20i | −0.303039 | − | 0.524879i | ||||
\(587\) | 8.79511e20 | 1.51167 | 0.755833 | − | 0.654765i | \(-0.227232\pi\) | ||||
0.755833 | + | 0.654765i | \(0.227232\pi\) | |||||||
\(588\) | 6.57123e18 | + | 5.29070e20i | 0.0111511 | + | 0.897807i | ||||
\(589\) | −1.21338e21 | −2.03298 | ||||||||
\(590\) | −2.57271e20 | − | 4.45606e20i | −0.425598 | − | 0.737158i | ||||
\(591\) | −7.45621e20 | + | 1.29145e21i | −1.21790 | + | 2.10947i | ||||
\(592\) | 1.97966e19 | − | 3.42887e19i | 0.0319284 | − | 0.0553016i | ||||
\(593\) | 4.85908e20 | + | 8.41618e20i | 0.773828 | + | 1.34031i | 0.935451 | + | 0.353456i | \(0.114994\pi\) |
−0.161623 | + | 0.986852i | \(0.551673\pi\) | |||||||
\(594\) | −8.25088e20 | −1.29748 | ||||||||
\(595\) | 1.57673e20 | − | 6.03408e20i | 0.244839 | − | 0.936987i | ||||
\(596\) | 2.40029e20 | 0.368059 | ||||||||
\(597\) | −7.77676e20 | − | 1.34697e21i | −1.17758 | − | 2.03963i | ||||
\(598\) | 1.01521e20 | − | 1.75840e20i | 0.151810 | − | 0.262942i | ||||
\(599\) | 4.93536e20 | − | 8.54830e20i | 0.728816 | − | 1.26235i | −0.228568 | − | 0.973528i | \(-0.573404\pi\) |
0.957384 | − | 0.288819i | \(-0.0932625\pi\) | |||||||
\(600\) | −1.30216e20 | − | 2.25541e20i | −0.189902 | − | 0.328920i | ||||
\(601\) | 2.83823e19 | 0.0408780 | 0.0204390 | − | 0.999791i | \(-0.493494\pi\) | ||||
0.0204390 | + | 0.999791i | \(0.493494\pi\) | |||||||
\(602\) | −3.70756e20 | + | 1.01816e20i | −0.527369 | + | 0.144824i | ||||
\(603\) | 3.92319e20 | 0.551137 | ||||||||
\(604\) | −3.37583e20 | − | 5.84712e20i | −0.468386 | − | 0.811268i | ||||
\(605\) | 7.02885e19 | − | 1.21743e20i | 0.0963206 | − | 0.166832i | ||||
\(606\) | −3.29670e20 | + | 5.71006e20i | −0.446206 | + | 0.772851i | ||||
\(607\) | −1.30906e20 | − | 2.26735e20i | −0.175002 | − | 0.303113i | 0.765160 | − | 0.643840i | \(-0.222660\pi\) |
−0.940162 | + | 0.340728i | \(0.889327\pi\) | |||||||
\(608\) | −1.38351e20 | −0.182686 | ||||||||
\(609\) | 6.16871e19 | + | 6.09257e19i | 0.0804571 | + | 0.0794640i | ||||
\(610\) | 3.47563e20 | 0.447775 | ||||||||
\(611\) | −4.73270e20 | − | 8.19728e20i | −0.602282 | − | 1.04318i | ||||
\(612\) | −6.75978e20 | + | 1.17083e21i | −0.849762 | + | 1.47183i | ||||
\(613\) | 4.30621e19 | − | 7.45857e19i | 0.0534738 | − | 0.0926194i | −0.838049 | − | 0.545594i | \(-0.816304\pi\) |
0.891523 | + | 0.452975i | \(0.149637\pi\) | |||||||
\(614\) | 4.17665e20 | + | 7.23418e20i | 0.512349 | + | 0.887414i | ||||
\(615\) | 5.33077e20 | 0.645991 | ||||||||
\(616\) | −1.75310e20 | − | 1.73146e20i | −0.209870 | − | 0.207280i | ||||
\(617\) | −1.10789e21 | −1.31026 | −0.655129 | − | 0.755517i | \(-0.727386\pi\) | ||||
−0.655129 | + | 0.755517i | \(0.727386\pi\) | |||||||
\(618\) | 1.08493e20 | + | 1.87915e20i | 0.126762 | + | 0.219557i | ||||
\(619\) | 1.75535e20 | − | 3.04035e20i | 0.202621 | − | 0.350949i | −0.746751 | − | 0.665103i | \(-0.768388\pi\) |
0.949372 | + | 0.314154i | \(0.101721\pi\) | |||||||
\(620\) | 2.73354e20 | − | 4.73464e20i | 0.311737 | − | 0.539945i | ||||
\(621\) | −3.95663e20 | − | 6.85308e20i | −0.445798 | − | 0.772145i | ||||
\(622\) | −3.13516e20 | −0.349006 | ||||||||
\(623\) | −9.92295e20 | + | 2.72500e20i | −1.09139 | + | 0.299714i | ||||
\(624\) | 4.37555e20 | 0.475498 | ||||||||
\(625\) | 2.04516e19 | + | 3.54232e19i | 0.0219597 | + | 0.0380354i | ||||
\(626\) | 2.13819e20 | − | 3.70346e20i | 0.226850 | − | 0.392917i | ||||
\(627\) | −7.38473e20 | + | 1.27907e21i | −0.774155 | + | 1.34088i | ||||
\(628\) | 1.82495e20 | + | 3.16091e20i | 0.189040 | + | 0.327427i | ||||
\(629\) | −3.81266e20 | −0.390254 | ||||||||
\(630\) | −2.49239e20 | + | 9.53826e20i | −0.252094 | + | 0.964751i | ||||
\(631\) | 5.91534e20 | 0.591234 | 0.295617 | − | 0.955307i | \(-0.404475\pi\) | ||||
0.295617 | + | 0.955307i | \(0.404475\pi\) | |||||||
\(632\) | 2.96098e20 | + | 5.12857e20i | 0.292454 | + | 0.506545i | ||||
\(633\) | 1.12118e21 | − | 1.94195e21i | 1.09433 | − | 1.89544i | ||||
\(634\) | 3.04603e20 | − | 5.27587e20i | 0.293808 | − | 0.508891i | ||||
\(635\) | 2.22298e20 | + | 3.85032e20i | 0.211901 | + | 0.367023i | ||||
\(636\) | 8.29742e20 | 0.781654 | ||||||||
\(637\) | −9.92221e20 | − | 5.56544e20i | −0.923767 | − | 0.518148i | ||||
\(638\) | −4.03760e19 | −0.0371508 | ||||||||
\(639\) | 5.80311e20 | + | 1.00513e21i | 0.527721 | + | 0.914039i | ||||
\(640\) | 3.11681e19 | − | 5.39848e19i | 0.0280131 | − | 0.0485201i | ||||
\(641\) | −6.46374e20 | + | 1.11955e21i | −0.574181 | + | 0.994511i | 0.421949 | + | 0.906620i | \(0.361346\pi\) |
−0.996130 | + | 0.0878914i | \(0.971987\pi\) | |||||||
\(642\) | −4.22332e20 | − | 7.31500e20i | −0.370801 | − | 0.642247i | ||||
\(643\) | 1.24553e21 | 1.08087 | 0.540435 | − | 0.841386i | \(-0.318260\pi\) | ||||
0.540435 | + | 0.841386i | \(0.318260\pi\) | |||||||
\(644\) | 5.97448e19 | − | 2.28641e20i | 0.0512456 | − | 0.196114i | ||||
\(645\) | −1.03838e21 | −0.880359 | ||||||||
\(646\) | 6.66132e20 | + | 1.15377e21i | 0.558234 | + | 0.966889i | ||||
\(647\) | −1.91677e20 | + | 3.31994e20i | −0.158777 | + | 0.275010i | −0.934428 | − | 0.356152i | \(-0.884088\pi\) |
0.775651 | + | 0.631162i | \(0.217422\pi\) | |||||||
\(648\) | 3.72347e20 | − | 6.44923e20i | 0.304884 | − | 0.528075i | ||||
\(649\) | 9.78780e20 | + | 1.69530e21i | 0.792228 | + | 1.37218i | ||||
\(650\) | 5.59959e20 | 0.448029 | ||||||||
\(651\) | 4.30694e21 | − | 1.18275e21i | 3.40652 | − | 0.935486i | ||||
\(652\) | 3.93623e20 | 0.307768 | ||||||||
\(653\) | 6.59318e19 | + | 1.14197e20i | 0.0509619 | + | 0.0882687i | 0.890381 | − | 0.455216i | \(-0.150438\pi\) |
−0.839419 | + | 0.543485i | \(0.817105\pi\) | |||||||
\(654\) | −1.28173e20 | + | 2.22002e20i | −0.0979408 | + | 0.169638i | ||||
\(655\) | −1.43646e20 | + | 2.48802e20i | −0.108513 | + | 0.187951i | ||||
\(656\) | −9.49890e19 | − | 1.64526e20i | −0.0709405 | − | 0.122873i | ||||
\(657\) | −2.96932e21 | −2.19238 | ||||||||
\(658\) | −7.83812e20 | − | 7.74138e20i | −0.572161 | − | 0.565098i | ||||
\(659\) | −9.87739e20 | −0.712856 | −0.356428 | − | 0.934323i | \(-0.616005\pi\) | ||||
−0.356428 | + | 0.934323i | \(0.616005\pi\) | |||||||
\(660\) | −3.32731e20 | − | 5.76306e20i | −0.237418 | − | 0.411220i | ||||
\(661\) | −2.80847e19 | + | 4.86441e19i | −0.0198134 | + | 0.0343178i | −0.875762 | − | 0.482743i | \(-0.839641\pi\) |
0.855949 | + | 0.517061i | \(0.172974\pi\) | |||||||
\(662\) | 4.11119e19 | − | 7.12080e19i | 0.0286769 | − | 0.0496699i | ||||
\(663\) | −2.10674e21 | − | 3.64898e21i | −1.45298 | − | 2.51663i | ||||
\(664\) | 5.56029e20 | 0.379173 | ||||||||
\(665\) | 6.91201e20 | + | 6.82669e20i | 0.466060 | + | 0.460307i | ||||
\(666\) | 6.02679e20 | 0.401818 | ||||||||
\(667\) | −1.93619e19 | − | 3.35358e19i | −0.0127645 | − | 0.0221088i | ||||
\(668\) | −4.10976e20 | + | 7.11831e20i | −0.267913 | + | 0.464038i | ||||
\(669\) | 4.06182e20 | − | 7.03527e20i | 0.261833 | − | 0.453508i | ||||
\(670\) | 8.70953e19 | + | 1.50853e20i | 0.0555180 | + | 0.0961599i | ||||
\(671\) | −1.32230e21 | −0.833508 | ||||||||
\(672\) | 4.91081e20 | − | 1.34859e20i | 0.306114 | − | 0.0840639i | ||||
\(673\) | 8.85823e19 | 0.0546052 | 0.0273026 | − | 0.999627i | \(-0.491308\pi\) | ||||
0.0273026 | + | 0.999627i | \(0.491308\pi\) | |||||||
\(674\) | 2.76795e20 | + | 4.79423e20i | 0.168736 | + | 0.292260i | ||||
\(675\) | 1.09117e21 | − | 1.88996e21i | 0.657832 | − | 1.13940i | ||||
\(676\) | −5.10822e19 | + | 8.84770e19i | −0.0304558 | + | 0.0527509i | ||||
\(677\) | 1.15283e20 | + | 1.99676e20i | 0.0679753 | + | 0.117737i | 0.898010 | − | 0.439975i | \(-0.145013\pi\) |
−0.830035 | + | 0.557712i | \(0.811679\pi\) | |||||||
\(678\) | 2.25198e21 | 1.31323 | ||||||||
\(679\) | −2.68172e20 | + | 1.02628e21i | −0.154664 | + | 0.591894i | ||||
\(680\) | −6.00272e20 | −0.342398 | ||||||||
\(681\) | 2.02743e21 | + | 3.51161e21i | 1.14378 | + | 1.98109i | ||||
\(682\) | −1.03997e21 | + | 1.80128e21i | −0.580281 | + | 1.00508i | ||||
\(683\) | 1.08437e21 | − | 1.87818e21i | 0.598442 | − | 1.03653i | −0.394609 | − | 0.918849i | \(-0.629120\pi\) |
0.993051 | − | 0.117683i | \(-0.0375467\pi\) | |||||||
\(684\) | −1.05298e21 | − | 1.82381e21i | −0.574775 | − | 0.995539i | ||||
\(685\) | 1.91190e21 | 1.03225 | ||||||||
\(686\) | −1.28513e21 | − | 3.18814e20i | −0.686303 | − | 0.170257i | ||||
\(687\) | −2.64759e20 | −0.139854 | ||||||||
\(688\) | 1.85029e20 | + | 3.20480e20i | 0.0966780 | + | 0.167451i | ||||
\(689\) | −8.92020e20 | + | 1.54502e21i | −0.461031 | + | 0.798529i | ||||
\(690\) | 3.19115e20 | − | 5.52724e20i | 0.163147 | − | 0.282579i | ||||
\(691\) | 2.54582e20 | + | 4.40950e20i | 0.128749 | + | 0.222999i | 0.923192 | − | 0.384339i | \(-0.125571\pi\) |
−0.794443 | + | 0.607338i | \(0.792237\pi\) | |||||||
\(692\) | −3.44960e20 | −0.172573 | ||||||||
\(693\) | 9.48225e20 | − | 3.62881e21i | 0.469258 | − | 1.79583i | ||||
\(694\) | 2.84054e20 | 0.139061 | ||||||||
\(695\) | −6.27008e20 | − | 1.08601e21i | −0.303660 | − | 0.525954i | ||||
\(696\) | 4.17247e19 | − | 7.22694e19i | 0.0199905 | − | 0.0346246i | ||||
\(697\) | −9.14704e20 | + | 1.58431e21i | −0.433546 | + | 0.750923i | ||||
\(698\) | 2.08301e20 | + | 3.60788e20i | 0.0976732 | + | 0.169175i | ||||
\(699\) | −1.02878e21 | −0.477247 | ||||||||
\(700\) | 6.28458e20 | − | 1.72585e20i | 0.288430 | − | 0.0792076i | ||||
\(701\) | 2.29854e21 | 1.04368 | 0.521840 | − | 0.853043i | \(-0.325246\pi\) | ||||
0.521840 | + | 0.853043i | \(0.325246\pi\) | |||||||
\(702\) | 1.83329e21 | + | 3.17535e21i | 0.823575 | + | 1.42647i | ||||
\(703\) | 2.96950e20 | − | 5.14332e20i | 0.131983 | − | 0.228601i | ||||
\(704\) | −1.18578e20 | + | 2.05384e20i | −0.0521448 | + | 0.0903174i | ||||
\(705\) | −1.48764e21 | − | 2.57667e21i | −0.647262 | − | 1.12109i | ||||
\(706\) | −1.53786e21 | −0.662036 | ||||||||
\(707\) | −1.17394e21 | − | 1.15945e21i | −0.500033 | − | 0.493861i | ||||
\(708\) | −4.04590e21 | −1.70516 | ||||||||
\(709\) | 6.98128e20 | + | 1.20919e21i | 0.291131 | + | 0.504253i | 0.974077 | − | 0.226215i | \(-0.0726352\pi\) |
−0.682947 | + | 0.730468i | \(0.739302\pi\) | |||||||
\(710\) | −2.57659e20 | + | 4.46279e20i | −0.106318 | + | 0.184149i | ||||
\(711\) | −4.50714e21 | + | 7.80660e21i | −1.84026 | + | 3.18742i | ||||
\(712\) | 4.95215e20 | + | 8.57737e20i | 0.200075 | + | 0.346541i | ||||
\(713\) | −1.99483e21 | −0.797507 | ||||||||
\(714\) | −3.48910e21 | − | 3.44604e21i | −1.38031 | − | 1.36327i | ||||
\(715\) | 1.43082e21 | 0.560130 | ||||||||
\(716\) | 2.85039e20 | + | 4.93702e20i | 0.110422 | + | 0.191257i | ||||
\(717\) | −1.54376e21 | + | 2.67387e21i | −0.591815 | + | 1.02505i | ||||
\(718\) | 4.80221e20 | − | 8.31767e20i | 0.182183 | − | 0.315550i | ||||
\(719\) | −5.56884e20 | − | 9.64551e20i | −0.209073 | − | 0.362125i | 0.742350 | − | 0.670013i | \(-0.233711\pi\) |
−0.951423 | + | 0.307888i | \(0.900378\pi\) | |||||||
\(720\) | 9.48869e20 | 0.352543 | ||||||||
\(721\) | −5.23616e20 | + | 1.43793e20i | −0.192530 | + | 0.0528718i | ||||
\(722\) | −1.32091e20 | −0.0480666 | ||||||||
\(723\) | 1.30849e19 | + | 2.26637e19i | 0.00471230 | + | 0.00816194i | ||||
\(724\) | 8.60569e20 | − | 1.49055e21i | 0.306723 | − | 0.531260i | ||||
\(725\) | 5.33970e19 | − | 9.24862e19i | 0.0188357 | − | 0.0326244i | ||||
\(726\) | −5.52687e20 | − | 9.57283e20i | −0.192955 | − | 0.334207i | ||||
\(727\) | 3.13110e21 | 1.08190 | 0.540951 | − | 0.841054i | \(-0.318064\pi\) | ||||
0.540951 | + | 0.841054i | \(0.318064\pi\) | |||||||
\(728\) | −2.76826e20 | + | 1.05940e21i | −0.0946720 | + | 0.362305i | ||||
\(729\) | −3.32236e20 | −0.112458 | ||||||||
\(730\) | −6.59192e20 | − | 1.14175e21i | −0.220846 | − | 0.382517i | ||||
\(731\) | 1.78176e21 | − | 3.08609e21i | 0.590837 | − | 1.02336i | ||||
\(732\) | 1.36646e21 | − | 2.36679e21i | 0.448503 | − | 0.776830i | ||||
\(733\) | 1.56079e20 | + | 2.70337e20i | 0.0507067 | + | 0.0878266i | 0.890265 | − | 0.455444i | \(-0.150519\pi\) |
−0.839558 | + | 0.543270i | \(0.817186\pi\) | |||||||
\(734\) | −3.18449e21 | −1.02405 | ||||||||
\(735\) | −3.11887e21 | − | 1.74940e21i | −0.992756 | − | 0.556845i | ||||
\(736\) | −2.27452e20 | −0.0716650 | ||||||||
\(737\) | −3.31352e20 | − | 5.73919e20i | −0.103344 | − | 0.178996i | ||||
\(738\) | 1.44590e21 | − | 2.50438e21i | 0.446392 | − | 0.773173i | ||||
\(739\) | −1.88749e21 | + | 3.26922e21i | −0.576833 | + | 0.999104i | 0.419007 | + | 0.907983i | \(0.362378\pi\) |
−0.995840 | + | 0.0911212i | \(0.970955\pi\) | |||||||
\(740\) | 1.33795e20 | + | 2.31740e20i | 0.0404765 | + | 0.0701074i | ||||
\(741\) | 6.56336e21 | 1.96557 | ||||||||
\(742\) | −5.24948e20 | + | 2.00895e21i | −0.155628 | + | 0.595581i | ||||
\(743\) | 2.71859e21 | 0.797862 | 0.398931 | − | 0.916981i | \(-0.369381\pi\) | ||||
0.398931 | + | 0.916981i | \(0.369381\pi\) | |||||||
\(744\) | −2.14942e21 | − | 3.72290e21i | −0.624488 | − | 1.08165i | ||||
\(745\) | −8.11119e20 | + | 1.40490e21i | −0.233299 | + | 0.404086i | ||||
\(746\) | −1.53037e21 | + | 2.65068e21i | −0.435768 | + | 0.754773i | ||||
\(747\) | 4.23188e21 | + | 7.32984e21i | 1.19297 | + | 2.06628i | ||||
\(748\) | 2.28372e21 | 0.637355 | ||||||||
\(749\) | 2.03829e21 | − | 5.59747e20i | 0.563186 | − | 0.154660i | ||||
\(750\) | 4.70243e21 | 1.28636 | ||||||||
\(751\) | 1.42878e21 | + | 2.47472e21i | 0.386959 | + | 0.670233i | 0.992039 | − | 0.125932i | \(-0.0401920\pi\) |
−0.605080 | + | 0.796165i | \(0.706859\pi\) | |||||||
\(752\) | −5.30166e20 | + | 9.18274e20i | −0.142160 | + | 0.246229i | ||||
\(753\) | 2.23695e20 | − | 3.87452e20i | 0.0593874 | − | 0.102862i | ||||
\(754\) | 8.97129e19 | + | 1.55387e20i | 0.0235814 | + | 0.0408442i | ||||
\(755\) | 4.56312e21 | 1.18757 | ||||||||
\(756\) | 3.03623e21 | + | 2.99875e21i | 0.782386 | + | 0.772729i | ||||
\(757\) | −4.49236e21 | −1.14619 | −0.573093 | − | 0.819490i | \(-0.694257\pi\) | ||||
−0.573093 | + | 0.819490i | \(0.694257\pi\) | |||||||
\(758\) | −2.50872e21 | − | 4.34522e21i | −0.633771 | − | 1.09772i | ||||
\(759\) | −1.21407e21 | + | 2.10283e21i | −0.303689 | + | 0.526005i | ||||
\(760\) | 4.67524e20 | − | 8.09775e20i | 0.115798 | − | 0.200568i | ||||
\(761\) | −3.60948e20 | − | 6.25180e20i | −0.0885237 | − | 0.153328i | 0.818364 | − | 0.574701i | \(-0.194882\pi\) |
−0.906887 | + | 0.421373i | \(0.861548\pi\) | |||||||
\(762\) | 3.49591e21 | 0.848982 | ||||||||
\(763\) | −4.56417e20 | − | 4.50783e20i | −0.109756 | − | 0.108401i | ||||
\(764\) | 3.24789e20 | 0.0773396 | ||||||||
\(765\) | −4.56861e21 | − | 7.91306e21i | −1.07727 | − | 1.86588i | ||||
\(766\) | 1.51078e21 | − | 2.61674e21i | 0.352764 | − | 0.611005i | ||||
\(767\) | 4.34957e21 | − | 7.53368e21i | 1.00573 | − | 1.74198i | ||||
\(768\) | −2.45079e20 | − | 4.24489e20i | −0.0561173 | − | 0.0971980i | ||||
\(769\) | 7.26296e21 | 1.64690 | 0.823448 | − | 0.567391i | \(-0.192047\pi\) | ||||
0.823448 | + | 0.567391i | \(0.192047\pi\) | |||||||
\(770\) | 1.60585e21 | − | 4.40991e20i | 0.360598 | − | 0.0990261i | ||||
\(771\) | −9.26158e21 | −2.05957 | ||||||||
\(772\) | 1.99317e21 | + | 3.45228e21i | 0.438950 | + | 0.760284i | ||||
\(773\) | 3.33809e21 | − | 5.78175e21i | 0.728035 | − | 1.26099i | −0.229677 | − | 0.973267i | \(-0.573767\pi\) |
0.957712 | − | 0.287727i | \(-0.0928996\pi\) | |||||||
\(774\) | −2.81648e21 | + | 4.87829e21i | −0.608344 | + | 1.05368i | ||||
\(775\) | −2.75071e21 | − | 4.76436e21i | −0.588412 | − | 1.01916i | ||||
\(776\) | 1.02095e21 | 0.216292 | ||||||||
\(777\) | −5.52683e20 | + | 2.11509e21i | −0.115963 | + | 0.443784i | ||||
\(778\) | −2.52303e21 | −0.524294 | ||||||||
\(779\) | −1.42484e21 | − | 2.46790e21i | −0.293248 | − | 0.507921i | ||||
\(780\) | −1.47861e21 | + | 2.56103e21i | −0.301401 | + | 0.522042i | ||||
\(781\) | 9.80259e20 | − | 1.69786e21i | 0.197906 | − | 0.342783i | ||||
\(782\) | 1.09514e21 | + | 1.89683e21i | 0.218986 | + | 0.379296i | ||||
\(783\) | 6.99281e20 | 0.138496 | ||||||||
\(784\) | 1.58274e19 | + | 1.27432e21i | 0.00310485 | + | 0.249981i | ||||
\(785\) | −2.46679e21 | −0.479302 | ||||||||
\(786\) | 1.12950e21 | + | 1.95636e21i | 0.217380 | + | 0.376512i | ||||
\(787\) | 2.52764e21 | − | 4.37801e21i | 0.481843 | − | 0.834576i | −0.517940 | − | 0.855417i | \(-0.673301\pi\) |
0.999783 | + | 0.0208410i | \(0.00663438\pi\) | |||||||
\(788\) | −1.79590e21 | + | 3.11059e21i | −0.339106 | + | 0.587349i | ||||
\(789\) | −3.73370e21 | − | 6.46696e21i | −0.698332 | − | 1.20955i | ||||
\(790\) | −4.00236e21 | −0.741503 | ||||||||
\(791\) | −1.42475e21 | + | 5.45245e21i | −0.261466 | + | 1.00062i | ||||
\(792\) | −3.60995e21 | −0.656240 | ||||||||
\(793\) | 2.93805e21 | + | 5.08886e21i | 0.529067 | + | 0.916371i | ||||
\(794\) | −1.56147e21 | + | 2.70455e21i | −0.278535 | + | 0.482437i | ||||
\(795\) | −2.80391e21 | + | 4.85651e21i | −0.495462 | + | 0.858165i | ||||
\(796\) | −1.87311e21 | − | 3.24432e21i | −0.327880 | − | 0.567904i | ||||
\(797\) | −1.08398e22 | −1.87967 | −0.939836 | − | 0.341626i | \(-0.889022\pi\) | ||||
−0.939836 | + | 0.341626i | \(0.889022\pi\) | |||||||
\(798\) | 7.36625e21 | − | 2.02289e21i | 1.26539 | − | 0.347497i | ||||
\(799\) | 1.02105e22 | 1.73759 | ||||||||
\(800\) | −3.13638e20 | − | 5.43237e20i | −0.0528754 | − | 0.0915829i | ||||
\(801\) | −7.53805e21 | + | 1.30563e22i | −1.25897 | + | 2.18060i | ||||
\(802\) | −7.20354e20 | + | 1.24769e21i | −0.119190 | + | 0.206442i | ||||
\(803\) | 2.50788e21 | + | 4.34378e21i | 0.411093 | + | 0.712034i | ||||
\(804\) | 1.36968e21 | 0.222433 | ||||||||
\(805\) | 1.13635e21 | + | 1.12232e21i | 0.182828 | + | 0.180571i | ||||
\(806\) | 9.24299e21 | 1.47333 | ||||||||
\(807\) | −1.68079e21 | − | 2.91121e21i | −0.265437 | − | 0.459751i | ||||
\(808\) | −7.94043e20 | + | 1.37532e21i | −0.124239 | + | 0.215189i | ||||
\(809\) | 5.25457e21 | − | 9.10119e21i | 0.814561 | − | 1.41086i | −0.0950818 | − | 0.995469i | \(-0.530311\pi\) |
0.909643 | − | 0.415391i | \(-0.136355\pi\) | |||||||
\(810\) | 2.51651e21 | + | 4.35872e21i | 0.386510 | + | 0.669455i | ||||
\(811\) | −8.89807e21 | −1.35406 | −0.677032 | − | 0.735953i | \(-0.736734\pi\) | ||||
−0.677032 | + | 0.735953i | \(0.736734\pi\) | |||||||
\(812\) | 1.48579e20 | + | 1.46745e20i | 0.0224021 | + | 0.0221255i | ||||
\(813\) | 1.15306e22 | 1.72255 | ||||||||
\(814\) | −5.09022e20 | − | 8.81651e20i | −0.0753448 | − | 0.130501i | ||||
\(815\) | −1.33015e21 | + | 2.30389e21i | −0.195083 | + | 0.337894i | ||||
\(816\) | −2.36001e21 | + | 4.08765e21i | −0.342955 | + | 0.594015i | ||||
\(817\) | 2.77545e21 | + | 4.80723e21i | 0.399640 | + | 0.692196i | ||||
\(818\) | −1.89555e21 | −0.270449 | ||||||||
\(819\) | −1.60724e22 | + | 4.41374e21i | −2.27222 | + | 0.623989i | ||||
\(820\) | 1.28397e21 | 0.179866 | ||||||||
\(821\) | 3.76617e19 | + | 6.52321e19i | 0.00522789 | + | 0.00905498i | 0.868628 | − | 0.495466i | \(-0.165003\pi\) |
−0.863400 | + | 0.504521i | \(0.831669\pi\) | |||||||
\(822\) | 7.51674e21 | − | 1.30194e22i | 1.03393 | − | 1.79082i | ||||
\(823\) | −2.83888e21 | + | 4.91708e21i | −0.386944 | + | 0.670206i | −0.992037 | − | 0.125948i | \(-0.959803\pi\) |
0.605093 | + | 0.796155i | \(0.293136\pi\) | |||||||
\(824\) | 2.61315e20 | + | 4.52612e20i | 0.0352948 | + | 0.0611324i | ||||
\(825\) | −6.69639e21 | −0.896264 | ||||||||
\(826\) | 2.55970e21 | − | 9.79585e21i | 0.339499 | − | 1.29925i | ||||
\(827\) | −1.32985e22 | −1.74787 | −0.873937 | − | 0.486040i | \(-0.838441\pi\) | ||||
−0.873937 | + | 0.486040i | \(0.838441\pi\) | |||||||
\(828\) | −1.73112e21 | − | 2.99838e21i | −0.225475 | − | 0.390535i | ||||
\(829\) | −2.12490e21 | + | 3.68044e21i | −0.274271 | + | 0.475052i | −0.969951 | − | 0.243300i | \(-0.921770\pi\) |
0.695680 | + | 0.718352i | \(0.255103\pi\) | |||||||
\(830\) | −1.87897e21 | + | 3.25446e21i | −0.240344 | + | 0.416288i | ||||
\(831\) | 1.24965e21 | + | 2.16445e21i | 0.158409 | + | 0.274372i | ||||
\(832\) | 1.05389e21 | 0.132395 | ||||||||
\(833\) | 1.05509e22 | − | 6.26755e21i | 1.31357 | − | 0.780298i | ||||
\(834\) | −9.86049e21 | −1.21661 | ||||||||
\(835\) | −2.77758e21 | − | 4.81092e21i | −0.339640 | − | 0.588274i | ||||
\(836\) | −1.77868e21 | + | 3.08077e21i | −0.215552 | + | 0.373347i | ||||
\(837\) | 1.80115e22 | − | 3.11968e22i | 2.16326 | − | 3.74688i | ||||
\(838\) | −2.52724e21 | − | 4.37731e21i | −0.300827 | − | 0.521047i | ||||
\(839\) | 3.87280e20 | 0.0456888 | 0.0228444 | − | 0.999739i | \(-0.492728\pi\) | ||||
0.0228444 | + | 0.999739i | \(0.492728\pi\) | |||||||
\(840\) | −8.70154e20 | + | 3.33004e21i | −0.101742 | + | 0.389363i | ||||
\(841\) | −8.59497e21 | −0.996034 | ||||||||
\(842\) | 1.20874e21 | + | 2.09360e21i | 0.138833 | + | 0.240465i | ||||
\(843\) | −4.31651e21 | + | 7.47642e21i | −0.491390 | + | 0.851113i | ||||
\(844\) | 2.70048e21 | − | 4.67736e21i | 0.304700 | − | 0.527756i | ||||
\(845\) | −3.45240e20 | − | 5.97972e20i | −0.0386096 | − | 0.0668738i | ||||
\(846\) | −1.61401e22 | −1.78908 | ||||||||
\(847\) | 2.66742e21 | − | 7.32516e20i | 0.293066 | − | 0.0804807i | ||||
\(848\) | 1.99851e21 | 0.217640 | ||||||||
\(849\) | 1.05687e22 | + | 1.83055e22i | 1.14081 | + | 1.97594i | ||||
\(850\) | −3.02020e21 | + | 5.23114e21i | −0.323143 | + | 0.559699i | ||||
\(851\) | 4.88192e20 | − | 8.45574e20i | 0.0517749 | − | 0.0896768i | ||||
\(852\) | 2.02601e21 | + | 3.50915e21i | 0.212983 | + | 0.368897i | ||||
\(853\) | −1.05026e22 | −1.09441 | −0.547203 | − | 0.837000i | \(-0.684308\pi\) | ||||
−0.547203 | + | 0.837000i | \(0.684308\pi\) | |||||||
\(854\) | 4.86590e21 | + | 4.80584e21i | 0.502607 | + | 0.496404i | ||||
\(855\) | 1.42331e22 | 1.45732 | ||||||||
\(856\) | −1.01723e21 | − | 1.76189e21i | −0.103244 | − | 0.178824i | ||||
\(857\) | −2.05546e21 | + | 3.56016e21i | −0.206801 | + | 0.358190i | −0.950705 | − | 0.310097i | \(-0.899639\pi\) |
0.743904 | + | 0.668286i | \(0.232972\pi\) | |||||||
\(858\) | 5.62535e21 | − | 9.74338e21i | 0.561041 | − | 0.971751i | ||||
\(859\) | −8.25734e21 | − | 1.43021e22i | −0.816378 | − | 1.41401i | −0.908334 | − | 0.418246i | \(-0.862645\pi\) |
0.0919555 | − | 0.995763i | \(-0.470688\pi\) | |||||||
\(860\) | −2.50105e21 | −0.245123 | ||||||||
\(861\) | 7.46311e21 | + | 7.37099e21i | 0.725097 | + | 0.716147i | ||||
\(862\) | 5.79361e21 | 0.558014 | ||||||||
\(863\) | −2.20067e21 | − | 3.81167e21i | −0.210123 | − | 0.363944i | 0.741630 | − | 0.670809i | \(-0.234053\pi\) |
−0.951753 | + | 0.306866i | \(0.900720\pi\) | |||||||
\(864\) | 2.05369e21 | − | 3.55709e21i | 0.194393 | − | 0.336699i | ||||
\(865\) | 1.16571e21 | − | 2.01906e21i | 0.109388 | − | 0.189465i | ||||
\(866\) | 5.29476e21 | + | 9.17079e21i | 0.492563 | + | 0.853145i | ||||
\(867\) | 2.59807e22 | 2.39611 | ||||||||
\(868\) | 1.03737e22 | − | 2.84878e21i | 0.948495 | − | 0.260472i | ||||
\(869\) | 1.52269e22 | 1.38027 | ||||||||
\(870\) | 2.81997e20 | + | 4.88433e20i | 0.0253425 | + | 0.0438946i | ||||
\(871\) | −1.47249e21 | + | 2.55042e21i | −0.131194 | + | 0.227235i | ||||
\(872\) | −3.08717e20 | + | 5.34714e20i | −0.0272701 | + | 0.0472332i | ||||
\(873\) | 7.77034e21 | + | 1.34586e22i | 0.680508 | + | 1.17867i | ||||
\(874\) | −3.41180e21 | −0.296243 | ||||||||
\(875\) | −2.97506e21 | + | 1.13854e22i | −0.256115 | + | 0.980142i | ||||
\(876\) | −1.03666e22 | −0.884822 | ||||||||
\(877\) | 1.08511e22 | + | 1.87947e22i | 0.918286 | + | 1.59052i | 0.802017 | + | 0.597301i | \(0.203760\pi\) |
0.116269 | + | 0.993218i | \(0.462906\pi\) | |||||||
\(878\) | 6.55388e19 | − | 1.13517e20i | 0.00549908 | − | 0.00952468i | ||||
\(879\) | 9.25074e21 | − | 1.60227e22i | 0.769591 | − | 1.33297i | ||||
\(880\) | −8.01414e20 | − | 1.38809e21i | −0.0661054 | − | 0.114498i | ||||
\(881\) | −1.35213e22 | −1.10585 | −0.552927 | − | 0.833230i | \(-0.686489\pi\) | ||||
−0.552927 | + | 0.833230i | \(0.686489\pi\) | |||||||
\(882\) | −1.66781e22 | + | 9.90733e21i | −1.35249 | + | 0.803419i | ||||
\(883\) | −3.50656e21 | −0.281953 | −0.140976 | − | 0.990013i | \(-0.545024\pi\) | ||||
−0.140976 | + | 0.990013i | \(0.545024\pi\) | |||||||
\(884\) | −5.07428e21 | − | 8.78891e21i | −0.404560 | − | 0.700718i | ||||
\(885\) | 1.36721e22 | − | 2.36808e22i | 1.08084 | − | 1.87207i | ||||
\(886\) | −3.85593e21 | + | 6.67866e21i | −0.302257 | + | 0.523524i | ||||
\(887\) | 2.26310e20 | + | 3.91981e20i | 0.0175905 | + | 0.0304676i | 0.874687 | − | 0.484689i | \(-0.161067\pi\) |
−0.857096 | + | 0.515156i | \(0.827734\pi\) | |||||||
\(888\) | 2.10410e21 | 0.162169 | ||||||||
\(889\) | −2.21174e21 | + | 8.46423e21i | −0.169033 | + | 0.646881i | ||||
\(890\) | −6.69382e21 | −0.507282 | ||||||||
\(891\) | −9.57400e21 | − | 1.65827e22i | −0.719467 | − | 1.24615i | ||||
\(892\) | 9.78328e20 | − | 1.69451e21i | 0.0729034 | − | 0.126272i | ||||
\(893\) | −7.95252e21 | + | 1.37742e22i | −0.587650 | + | 1.01784i | ||||
\(894\) | 6.37793e21 | + | 1.10469e22i | 0.467357 | + | 0.809486i | ||||
\(895\) | −3.85288e21 | −0.279970 | ||||||||
\(896\) | 1.18282e21 | − | 3.24820e20i | 0.0852329 | − | 0.0234063i | ||||
\(897\) | 1.07903e22 | 0.771064 | ||||||||
\(898\) | −2.78808e21 | − | 4.82909e21i | −0.197575 | − | 0.342210i | ||||
\(899\) | 8.81400e20 | − | 1.52663e21i | 0.0619406 | − | 0.107284i | ||||
\(900\) | 4.77413e21 | − | 8.26904e21i | 0.332717 | − | 0.576284i | ||||
\(901\) | −9.62242e21 | − | 1.66665e22i | −0.665041 | − | 1.15188i | ||||
\(902\) | −4.88483e21 | −0.334811 | ||||||||
\(903\) | −1.45374e22 | − | 1.43580e22i | −0.988165 | − | 0.975968i | ||||
\(904\) | 5.42412e21 | 0.365650 | ||||||||
\(905\) | 5.81616e21 | + | 1.00739e22i | 0.388841 | + | 0.673493i | ||||
\(906\) | 1.79402e22 | − | 3.10733e22i | 1.18950 | − | 2.06028i | ||||
\(907\) | −1.12461e22 | + | 1.94789e22i | −0.739518 | + | 1.28088i | 0.213194 | + | 0.977010i | \(0.431613\pi\) |
−0.952712 | + | 0.303873i | \(0.901720\pi\) | |||||||
\(908\) | 4.88326e21 | + | 8.45806e21i | 0.318468 | + | 0.551603i | ||||
\(909\) | −2.41735e22 | −1.56354 | ||||||||
\(910\) | −5.26525e21 | − | 5.20026e21i | −0.337760 | − | 0.333591i | ||||
\(911\) | 1.73489e22 | 1.10379 | 0.551893 | − | 0.833915i | \(-0.313906\pi\) | ||||
0.551893 | + | 0.833915i | \(0.313906\pi\) | |||||||
\(912\) | −3.67620e21 | − | 6.36736e21i | −0.231973 | − | 0.401789i | ||||
\(913\) | 7.14848e21 | − | 1.23815e22i | 0.447387 | − | 0.774896i | ||||
\(914\) | 7.62413e21 | − | 1.32054e22i | 0.473254 | − | 0.819700i | ||||
\(915\) | 9.23526e21 | + | 1.59959e22i | 0.568579 | + | 0.984808i | ||||
\(916\) | −6.37696e20 | −0.0389402 | ||||||||
\(917\) | −5.45129e21 | + | 1.49701e21i | −0.330164 | + | 0.0906683i | ||||
\(918\) | −3.95523e22 | −2.37603 | ||||||||
\(919\) | −7.41318e21 | − | 1.28400e22i | −0.441711 | − | 0.765065i | 0.556106 | − | 0.831111i | \(-0.312295\pi\) |
−0.997817 | + | 0.0660460i | \(0.978962\pi\) | |||||||
\(920\) | 7.68620e20 | − | 1.33129e21i | 0.0454258 | − | 0.0786798i | ||||
\(921\) | −2.21960e22 | + | 3.84446e22i | −1.30115 | + | 2.25366i | ||||
\(922\) | 5.36536e21 | + | 9.29307e21i | 0.311973 | + | 0.540353i | ||||
\(923\) | −8.71229e21 | −0.502481 | ||||||||
\(924\) | 3.31048e21 | − | 1.26691e22i | 0.189388 | − | 0.724778i | ||||
\(925\) | 2.69271e21 | 0.152801 | ||||||||
\(926\) | 8.42896e21 | + | 1.45994e22i | 0.474451 | + | 0.821774i | ||||
\(927\) | −3.97769e21 | + | 6.88956e21i | −0.222092 | + | 0.384674i | ||||
\(928\) | 1.00498e20 | − | 1.74068e20i | 0.00556606 | − | 0.00964069i | ||||
\(929\) | −6.40893e21 | − | 1.11006e22i | −0.352102 | − | 0.609858i | 0.634516 | − | 0.772910i | \(-0.281200\pi\) |
−0.986617 | + | 0.163052i | \(0.947866\pi\) | |||||||
\(930\) | 2.90537e22 | 1.58336 | ||||||||
\(931\) | 2.37412e20 | + | 1.91148e22i | 0.0128346 | + | 1.03335i | ||||
\(932\) | −2.47791e21 | −0.132882 | ||||||||
\(933\) | −8.33060e21 | − | 1.44290e22i | −0.443163 | − | 0.767581i | ||||
\(934\) | −6.28790e21 | + | 1.08910e22i | −0.331821 | + | 0.574731i | ||||
\(935\) | −7.71728e21 | + | 1.33667e22i | −0.403996 | + | 0.699741i | ||||
\(936\) | 8.02108e21 | + | 1.38929e22i | 0.416547 | + | 0.721481i | ||||
\(937\) | 4.63011e21 | 0.238531 | 0.119265 | − | 0.992862i | \(-0.461946\pi\) | ||||
0.119265 | + | 0.992862i | \(0.461946\pi\) | |||||||
\(938\) | −8.66549e20 | + | 3.31624e21i | −0.0442866 | + | 0.169483i | ||||
\(939\) | 2.27260e22 | 1.15221 | ||||||||
\(940\) | −3.58313e21 | − | 6.20616e21i | −0.180220 | − | 0.312151i | ||||
\(941\) | 9.33997e21 | − | 1.61773e22i | 0.466040 | − | 0.807205i | −0.533208 | − | 0.845984i | \(-0.679014\pi\) |
0.999248 | + | 0.0387792i | \(0.0123469\pi\) | |||||||
\(942\) | −9.69833e21 | + | 1.67980e22i | −0.480082 | + | 0.831526i | ||||
\(943\) | −2.34247e21 | − | 4.05728e21i | −0.115037 | − | 0.199249i | ||||
\(944\) | −9.74494e21 | −0.474776 | ||||||||
\(945\) | −2.78120e22 | + | 7.63763e21i | −1.34429 | + | 0.369164i | ||||
\(946\) | 9.51518e21 | 0.456282 | ||||||||
\(947\) | −5.61848e21 | − | 9.73149e21i | −0.267297 | − | 0.462972i | 0.700866 | − | 0.713293i | \(-0.252797\pi\) |
−0.968163 | + | 0.250321i | \(0.919464\pi\) | |||||||
\(948\) | −1.57355e22 | + | 2.72547e22i | −0.742709 | + | 1.28641i | ||||
\(949\) | 1.11447e22 | − | 1.93032e22i | 0.521881 | − | 0.903925i | ||||
\(950\) | −4.70459e21 | − | 8.14859e21i | −0.218572 | − | 0.378578i | ||||
\(951\) | 3.23750e22 | 1.49230 | ||||||||
\(952\) | −8.40384e21 | − | 8.30011e21i | −0.384327 | − | 0.379583i | ||||
\(953\) | 1.02511e22 | 0.465131 | 0.232566 | − | 0.972581i | \(-0.425288\pi\) | ||||
0.232566 | + | 0.972581i | \(0.425288\pi\) | |||||||
\(954\) | 1.52105e22 | + | 2.63453e22i | 0.684747 | + | 1.18602i | ||||
\(955\) | −1.09755e21 | + | 1.90101e21i | −0.0490227 | + | 0.0849099i | ||||
\(956\) | −3.71829e21 | + | 6.44028e21i | −0.164782 | + | 0.285411i | ||||
\(957\) | −1.07285e21 | − | 1.85823e21i | −0.0471737 | − | 0.0817073i | ||||
\(958\) | 1.67681e22 | 0.731547 | ||||||||
\(959\) | 2.67666e22 | + | 2.64363e22i | 1.15866 | + | 1.14435i | ||||
\(960\) | 3.31273e21 | 0.142283 | ||||||||
\(961\) | −3.36721e22 | − | 5.83217e22i | −1.43498 | − | 2.48545i | ||||
\(962\) | −2.26203e21 | + | 3.91794e21i | −0.0956499 | + | 0.165670i | ||||
\(963\) | 1.54840e22 | − | 2.68191e22i | 0.649661 | − | 1.12525i | ||||
\(964\) | 3.15162e19 | + | 5.45877e19i | 0.00131207 | + | 0.00227257i | ||||
\(965\) | −2.69418e22 | −1.11294 | ||||||||
\(966\) | 1.21103e22 | − | 3.32568e21i | 0.496393 | − | 0.136317i | ||||
\(967\) | −3.34613e22 | −1.36096 | −0.680478 | − | 0.732769i | \(-0.738228\pi\) | ||||
−0.680478 | + | 0.732769i | \(0.738228\pi\) | |||||||
\(968\) | −1.33120e21 | − | 2.30571e21i | −0.0537253 | − | 0.0930549i | ||||
\(969\) | −3.54002e22 | + | 6.13150e22i | −1.41768 | + | 2.45549i | ||||
\(970\) | −3.45005e21 | + | 5.97566e21i | −0.137100 | + | 0.237464i | ||||
\(971\) | −1.11584e22 | − | 1.93270e22i | −0.440006 | − | 0.762113i | 0.557683 | − | 0.830054i | \(-0.311690\pi\) |
−0.997689 | + | 0.0679409i | \(0.978357\pi\) | |||||||
\(972\) | 1.14722e22 | 0.448900 | ||||||||
\(973\) | 6.23838e21 | − | 2.38740e22i | 0.242229 | − | 0.926998i | ||||
\(974\) | 2.17078e22 | 0.836418 | ||||||||
\(975\) | 1.48789e22 | + | 2.57711e22i | 0.568902 | + | 0.985367i | ||||
\(976\) | 3.29126e21 | − | 5.70063e21i | 0.124879 | − | 0.216296i | ||||
\(977\) | −1.17182e20 | + | 2.02965e20i | −0.00441216 | + | 0.00764208i | −0.868223 | − | 0.496174i | \(-0.834738\pi\) |
0.863811 | + | 0.503816i | \(0.168071\pi\) | |||||||
\(978\) | 1.04592e22 | + | 1.81158e22i | 0.390801 | + | 0.676886i | ||||
\(979\) | 2.54665e22 | 0.944277 | ||||||||
\(980\) | −7.51211e21 | − | 4.21360e21i | −0.276418 | − | 0.155045i | ||||
\(981\) | −9.39846e21 | −0.343193 | ||||||||
\(982\) | −1.37864e22 | − | 2.38787e22i | −0.499590 | − | 0.865315i | ||||
\(983\) | 2.14541e22 | − | 3.71596e22i | 0.771540 | − | 1.33635i | −0.165178 | − | 0.986264i | \(-0.552820\pi\) |
0.936719 | − | 0.350083i | \(-0.113847\pi\) | |||||||
\(984\) | 5.04800e21 | − | 8.74339e21i | 0.180159 | − | 0.312045i | ||||
\(985\) | −1.21376e22 | − | 2.10229e22i | −0.429894 | − | 0.744598i | ||||
\(986\) | −1.93551e21 | −0.0680328 | ||||||||
\(987\) | 1.48012e22 | − | 5.66435e22i | 0.516319 | − | 1.97593i | ||||
\(988\) | 1.58085e22 | 0.547284 | ||||||||
\(989\) | 4.56291e21 | + | 7.90319e21i | 0.156772 | + | 0.271538i | ||||
\(990\) | 1.21989e22 | − | 2.11292e22i | 0.415967 | − | 0.720475i | ||||
\(991\) | 8.73975e21 | − | 1.51377e22i | 0.295765 | − | 0.512280i | −0.679398 | − | 0.733770i | \(-0.737759\pi\) |
0.975163 | + | 0.221490i | \(0.0710922\pi\) | |||||||
\(992\) | −5.17708e21 | − | 8.96697e21i | −0.173879 | − | 0.301168i | ||||
\(993\) | 4.36962e21 | 0.145655 | ||||||||
\(994\) | −9.77806e21 | + | 2.68521e21i | −0.323485 | + | 0.0888343i | ||||
\(995\) | 2.53188e22 | 0.831324 | ||||||||
\(996\) | 1.47745e22 | + | 2.55902e22i | 0.481469 | + | 0.833930i | ||||
\(997\) | −1.03392e21 | + | 1.79080e21i | −0.0334405 | + | 0.0579207i | −0.882261 | − | 0.470760i | \(-0.843980\pi\) |
0.848821 | + | 0.528681i | \(0.177313\pi\) | |||||||
\(998\) | 3.22733e21 | − | 5.58990e21i | 0.103601 | − | 0.179442i | ||||
\(999\) | 8.81586e21 | + | 1.52695e22i | 0.280882 | + | 0.486501i |
(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 | 14.16.c.b.11.1 | yes | 10 | |
3.2 | odd | 2 | 126.16.g.c.109.4 | 10 | |||
7.2 | even | 3 | inner | 14.16.c.b.9.1 | ✓ | 10 | |
7.3 | odd | 6 | 98.16.a.i.1.1 | 5 | |||
7.4 | even | 3 | 98.16.a.h.1.5 | 5 | |||
7.5 | odd | 6 | 98.16.c.n.79.5 | 10 | |||
7.6 | odd | 2 | 98.16.c.n.67.5 | 10 | |||
21.2 | odd | 6 | 126.16.g.c.37.4 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.16.c.b.9.1 | ✓ | 10 | 7.2 | even | 3 | inner | |
14.16.c.b.11.1 | yes | 10 | 1.1 | even | 1 | trivial | |
98.16.a.h.1.5 | 5 | 7.4 | even | 3 | |||
98.16.a.i.1.1 | 5 | 7.3 | odd | 6 | |||
98.16.c.n.67.5 | 10 | 7.6 | odd | 2 | |||
98.16.c.n.79.5 | 10 | 7.5 | odd | 6 | |||
126.16.g.c.37.4 | 10 | 21.2 | odd | 6 | |||
126.16.g.c.109.4 | 10 | 3.2 | odd | 2 |