Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.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: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 3 x^{13} + 93094 x^{12} + 3763497 x^{11} + 6525212431 x^{10} + 244392759522 x^{9} + \cdots + 37\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{6}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Root | \(-25.7605 + 44.6185i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.10.c.a.7.5 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 8.00000 | − | 13.8564i | 0.353553 | − | 0.612372i | ||||
\(3\) | 37.7605 | − | 65.4031i | 0.269149 | − | 0.466179i | −0.699494 | − | 0.714639i | \(-0.746591\pi\) |
0.968642 | + | 0.248460i | \(0.0799244\pi\) | |||||||
\(4\) | −128.000 | − | 221.703i | −0.250000 | − | 0.433013i | ||||
\(5\) | −802.961 | + | 1390.77i | −0.574552 | + | 0.995153i | 0.421538 | + | 0.906811i | \(0.361490\pi\) |
−0.996090 | + | 0.0883425i | \(0.971843\pi\) | |||||||
\(6\) | −604.168 | − | 1046.45i | −0.190317 | − | 0.329638i | ||||
\(7\) | 1586.11 | 0.249685 | 0.124843 | − | 0.992177i | \(-0.460157\pi\) | ||||
0.124843 | + | 0.992177i | \(0.460157\pi\) | |||||||
\(8\) | −4096.00 | −0.353553 | ||||||||
\(9\) | 6989.79 | + | 12106.7i | 0.355118 | + | 0.615082i | ||||
\(10\) | 12847.4 | + | 22252.3i | 0.406270 | + | 0.703680i | ||||
\(11\) | 22906.4 | 0.471727 | 0.235863 | − | 0.971786i | \(-0.424208\pi\) | ||||
0.235863 | + | 0.971786i | \(0.424208\pi\) | |||||||
\(12\) | −19333.4 | −0.269149 | ||||||||
\(13\) | 74050.5 | + | 128259.i | 0.719090 | + | 1.24550i | 0.961361 | + | 0.275291i | \(0.0887744\pi\) |
−0.242271 | + | 0.970209i | \(0.577892\pi\) | |||||||
\(14\) | 12688.9 | − | 21977.8i | 0.0882770 | − | 0.152900i | ||||
\(15\) | 60640.4 | + | 105032.i | 0.309280 | + | 0.535688i | ||||
\(16\) | −32768.0 | + | 56755.8i | −0.125000 | + | 0.216506i | ||||
\(17\) | 227226. | − | 393567.i | 0.659838 | − | 1.14287i | −0.320819 | − | 0.947140i | \(-0.603958\pi\) |
0.980657 | − | 0.195733i | \(-0.0627085\pi\) | |||||||
\(18\) | 223673. | 0.502213 | ||||||||
\(19\) | −562019. | − | 82596.3i | −0.989373 | − | 0.145402i | ||||
\(20\) | 411116. | 0.574552 | ||||||||
\(21\) | 59892.4 | − | 103737.i | 0.0672024 | − | 0.116398i | ||||
\(22\) | 183251. | − | 317401.i | 0.166781 | − | 0.288872i | ||||
\(23\) | 1.04035e6 | + | 1.80194e6i | 0.775184 | + | 1.34266i | 0.934691 | + | 0.355462i | \(0.115676\pi\) |
−0.159507 | + | 0.987197i | \(0.550990\pi\) | |||||||
\(24\) | −154667. | + | 267891.i | −0.0951584 | + | 0.164819i | ||||
\(25\) | −312929. | − | 542010.i | −0.160220 | − | 0.277509i | ||||
\(26\) | 2.36962e6 | 1.01695 | ||||||||
\(27\) | 2.54223e6 | 0.920615 | ||||||||
\(28\) | −203022. | − | 351645.i | −0.0624213 | − | 0.108117i | ||||
\(29\) | −1.07872e6 | − | 1.86840e6i | −0.283216 | − | 0.490545i | 0.688959 | − | 0.724801i | \(-0.258068\pi\) |
−0.972175 | + | 0.234256i | \(0.924735\pi\) | |||||||
\(30\) | 1.94049e6 | 0.437388 | ||||||||
\(31\) | 3.63339e6 | 0.706618 | 0.353309 | − | 0.935507i | \(-0.385056\pi\) | ||||
0.353309 | + | 0.935507i | \(0.385056\pi\) | |||||||
\(32\) | 524288. | + | 908093.i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 864959. | − | 1.49815e6i | 0.126965 | − | 0.219909i | ||||
\(34\) | −3.63561e6 | − | 6.29706e6i | −0.466576 | − | 0.808133i | ||||
\(35\) | −1.27359e6 | + | 2.20592e6i | −0.143457 | + | 0.248475i | ||||
\(36\) | 1.78939e6 | − | 3.09931e6i | 0.177559 | − | 0.307541i | ||||
\(37\) | 2.01484e7 | 1.76739 | 0.883696 | − | 0.468060i | \(-0.155047\pi\) | ||||
0.883696 | + | 0.468060i | \(0.155047\pi\) | |||||||
\(38\) | −5.64064e6 | + | 7.12680e6i | −0.438836 | + | 0.554457i | ||||
\(39\) | 1.11847e7 | 0.774168 | ||||||||
\(40\) | 3.28893e6 | − | 5.69659e6i | 0.203135 | − | 0.351840i | ||||
\(41\) | −7.28282e6 | + | 1.26142e7i | −0.402506 | + | 0.697160i | −0.994028 | − | 0.109129i | \(-0.965194\pi\) |
0.591522 | + | 0.806289i | \(0.298527\pi\) | |||||||
\(42\) | −958278. | − | 1.65979e6i | −0.0475193 | − | 0.0823058i | ||||
\(43\) | −1.16317e7 | + | 2.01467e7i | −0.518843 | + | 0.898662i | 0.480918 | + | 0.876766i | \(0.340304\pi\) |
−0.999760 | + | 0.0218961i | \(0.993030\pi\) | |||||||
\(44\) | −2.93202e6 | − | 5.07841e6i | −0.117932 | − | 0.204264i | ||||
\(45\) | −2.24501e7 | −0.816135 | ||||||||
\(46\) | 3.32913e7 | 1.09628 | ||||||||
\(47\) | 1.58577e7 | + | 2.74664e7i | 0.474025 | + | 0.821035i | 0.999558 | − | 0.0297381i | \(-0.00946733\pi\) |
−0.525533 | + | 0.850773i | \(0.676134\pi\) | |||||||
\(48\) | 2.47467e6 | + | 4.28626e6i | 0.0672872 | + | 0.116545i | ||||
\(49\) | −3.78379e7 | −0.937657 | ||||||||
\(50\) | −1.00137e7 | −0.226585 | ||||||||
\(51\) | −1.71603e7 | − | 2.97225e7i | −0.355189 | − | 0.615205i | ||||
\(52\) | 1.89569e7 | − | 3.28344e7i | 0.359545 | − | 0.622750i | ||||
\(53\) | −2.60871e7 | − | 4.51842e7i | −0.454135 | − | 0.786585i | 0.544503 | − | 0.838759i | \(-0.316718\pi\) |
−0.998638 | + | 0.0521742i | \(0.983385\pi\) | |||||||
\(54\) | 2.03379e7 | − | 3.52262e7i | 0.325487 | − | 0.563759i | ||||
\(55\) | −1.83930e7 | + | 3.18576e7i | −0.271031 | + | 0.469440i | ||||
\(56\) | −6.49672e6 | −0.0882770 | ||||||||
\(57\) | −2.66242e7 | + | 3.36389e7i | −0.334072 | + | 0.422090i | ||||
\(58\) | −3.45191e7 | −0.400528 | ||||||||
\(59\) | −8.43766e7 | + | 1.46145e8i | −0.906542 | + | 1.57018i | −0.0877081 | + | 0.996146i | \(0.527954\pi\) |
−0.818834 | + | 0.574031i | \(0.805379\pi\) | |||||||
\(60\) | 1.55239e7 | − | 2.68883e7i | 0.154640 | − | 0.267844i | ||||
\(61\) | −3.37688e7 | − | 5.84893e7i | −0.312271 | − | 0.540869i | 0.666583 | − | 0.745431i | \(-0.267756\pi\) |
−0.978854 | + | 0.204562i | \(0.934423\pi\) | |||||||
\(62\) | 2.90672e7 | − | 5.03458e7i | 0.249827 | − | 0.432714i | ||||
\(63\) | 1.10866e7 | + | 1.92025e7i | 0.0886677 | + | 0.153577i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | −2.37839e8 | −1.65262 | ||||||||
\(66\) | −1.38393e7 | − | 2.39704e7i | −0.0897775 | − | 0.155499i | ||||
\(67\) | −5.27851e7 | − | 9.14264e7i | −0.320018 | − | 0.554287i | 0.660473 | − | 0.750849i | \(-0.270356\pi\) |
−0.980491 | + | 0.196562i | \(0.937022\pi\) | |||||||
\(68\) | −1.16340e8 | −0.659838 | ||||||||
\(69\) | 1.57137e8 | 0.834559 | ||||||||
\(70\) | 2.03774e7 | + | 3.52946e7i | 0.101439 | + | 0.175698i | ||||
\(71\) | −5.27425e7 | + | 9.13527e7i | −0.246319 | + | 0.426637i | −0.962502 | − | 0.271276i | \(-0.912554\pi\) |
0.716183 | + | 0.697913i | \(0.245888\pi\) | |||||||
\(72\) | −2.86302e7 | − | 4.95889e7i | −0.125553 | − | 0.217464i | ||||
\(73\) | 4.53734e7 | − | 7.85890e7i | 0.187003 | − | 0.323898i | −0.757247 | − | 0.653129i | \(-0.773456\pi\) |
0.944250 | + | 0.329231i | \(0.106789\pi\) | |||||||
\(74\) | 1.61187e8 | − | 2.79185e8i | 0.624868 | − | 1.08230i | ||||
\(75\) | −4.72655e7 | −0.172492 | ||||||||
\(76\) | 5.36266e7 | + | 1.35173e8i | 0.184382 | + | 0.464761i | ||||
\(77\) | 3.63322e7 | 0.117783 | ||||||||
\(78\) | 8.94779e7 | − | 1.54980e8i | 0.273710 | − | 0.474079i | ||||
\(79\) | −5.02318e7 | + | 8.70039e7i | −0.145096 | + | 0.251314i | −0.929409 | − | 0.369052i | \(-0.879683\pi\) |
0.784313 | + | 0.620366i | \(0.213016\pi\) | |||||||
\(80\) | −5.26228e7 | − | 9.11454e7i | −0.143638 | − | 0.248788i | ||||
\(81\) | −4.15840e7 | + | 7.20257e7i | −0.107336 | + | 0.185911i | ||||
\(82\) | 1.16525e8 | + | 2.01827e8i | 0.284614 | + | 0.492967i | ||||
\(83\) | 5.84251e8 | 1.35129 | 0.675644 | − | 0.737228i | \(-0.263866\pi\) | ||||
0.675644 | + | 0.737228i | \(0.263866\pi\) | |||||||
\(84\) | −3.06649e7 | −0.0672024 | ||||||||
\(85\) | 3.64907e8 | + | 6.32037e8i | 0.758223 | + | 1.31328i | ||||
\(86\) | 1.86107e8 | + | 3.22348e8i | 0.366877 | + | 0.635450i | ||||
\(87\) | −1.62932e8 | −0.304909 | ||||||||
\(88\) | −9.38248e7 | −0.166781 | ||||||||
\(89\) | 2.88444e8 | + | 4.99600e8i | 0.487312 | + | 0.844049i | 0.999894 | − | 0.0145897i | \(-0.00464422\pi\) |
−0.512582 | + | 0.858638i | \(0.671311\pi\) | |||||||
\(90\) | −1.79601e8 | + | 3.11078e8i | −0.288547 | + | 0.499779i | ||||
\(91\) | 1.17452e8 | + | 2.03434e8i | 0.179546 | + | 0.310983i | ||||
\(92\) | 2.66330e8 | − | 4.61297e8i | 0.387592 | − | 0.671329i | ||||
\(93\) | 1.37199e8 | − | 2.37635e8i | 0.190185 | − | 0.329411i | ||||
\(94\) | 5.07448e8 | 0.670372 | ||||||||
\(95\) | 5.66152e8 | − | 7.15317e8i | 0.713143 | − | 0.901037i | ||||
\(96\) | 7.91895e7 | 0.0951584 | ||||||||
\(97\) | 4.47210e8 | − | 7.74591e8i | 0.512907 | − | 0.888382i | −0.486981 | − | 0.873413i | \(-0.661902\pi\) |
0.999888 | − | 0.0149689i | \(-0.00476493\pi\) | |||||||
\(98\) | −3.02703e8 | + | 5.24297e8i | −0.331512 | + | 0.574196i | ||||
\(99\) | 1.60111e8 | + | 2.77321e8i | 0.167519 | + | 0.290151i | ||||
\(100\) | −8.01099e7 | + | 1.38754e8i | −0.0801099 | + | 0.138754i | ||||
\(101\) | −6.05327e8 | − | 1.04846e9i | −0.578820 | − | 1.00255i | −0.995615 | − | 0.0935453i | \(-0.970180\pi\) |
0.416795 | − | 0.909001i | \(-0.363153\pi\) | |||||||
\(102\) | −5.49130e8 | −0.502313 | ||||||||
\(103\) | −1.29218e9 | −1.13124 | −0.565622 | − | 0.824665i | \(-0.691364\pi\) | ||||
−0.565622 | + | 0.824665i | \(0.691364\pi\) | |||||||
\(104\) | −3.03311e8 | − | 5.25350e8i | −0.254237 | − | 0.440351i | ||||
\(105\) | 9.61825e7 | + | 1.66593e8i | 0.0772226 | + | 0.133753i | ||||
\(106\) | −8.34788e8 | −0.642244 | ||||||||
\(107\) | 6.81399e8 | 0.502544 | 0.251272 | − | 0.967916i | \(-0.419151\pi\) | ||||
0.251272 | + | 0.967916i | \(0.419151\pi\) | |||||||
\(108\) | −3.25406e8 | − | 5.63619e8i | −0.230154 | − | 0.398638i | ||||
\(109\) | 6.69834e8 | − | 1.16019e9i | 0.454514 | − | 0.787242i | −0.544146 | − | 0.838991i | \(-0.683146\pi\) |
0.998660 | + | 0.0517487i | \(0.0164795\pi\) | |||||||
\(110\) | 2.94287e8 | + | 5.09721e8i | 0.191648 | + | 0.331944i | ||||
\(111\) | 7.60814e8 | − | 1.31777e9i | 0.475691 | − | 0.823922i | ||||
\(112\) | −5.19737e7 | + | 9.00211e7i | −0.0312106 | + | 0.0540584i | ||||
\(113\) | 1.83847e9 | 1.06073 | 0.530364 | − | 0.847770i | \(-0.322055\pi\) | ||||
0.530364 | + | 0.847770i | \(0.322055\pi\) | |||||||
\(114\) | 2.53121e8 | + | 6.38027e8i | 0.140364 | + | 0.353808i | ||||
\(115\) | −3.34145e9 | −1.78153 | ||||||||
\(116\) | −2.76153e8 | + | 4.78310e8i | −0.141608 | + | 0.245272i | ||||
\(117\) | −1.03520e9 | + | 1.79301e9i | −0.510724 | + | 0.884599i | ||||
\(118\) | 1.35003e9 | + | 2.33831e9i | 0.641022 | + | 1.11028i | ||||
\(119\) | 3.60406e8 | − | 6.24241e8i | 0.164752 | − | 0.285358i | ||||
\(120\) | −2.48383e8 | − | 4.30212e8i | −0.109347 | − | 0.189394i | ||||
\(121\) | −1.83324e9 | −0.777474 | ||||||||
\(122\) | −1.08060e9 | −0.441618 | ||||||||
\(123\) | 5.50006e8 | + | 9.52638e8i | 0.216668 | + | 0.375279i | ||||
\(124\) | −4.65075e8 | − | 8.05533e8i | −0.176655 | − | 0.305975i | ||||
\(125\) | −2.13149e9 | −0.780885 | ||||||||
\(126\) | 3.54771e8 | 0.125395 | ||||||||
\(127\) | −2.84390e8 | − | 4.92579e8i | −0.0970059 | − | 0.168019i | 0.813438 | − | 0.581651i | \(-0.197593\pi\) |
−0.910444 | + | 0.413632i | \(0.864260\pi\) | |||||||
\(128\) | 1.34218e8 | − | 2.32472e8i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 8.78439e8 | + | 1.52150e9i | 0.279292 | + | 0.483747i | ||||
\(130\) | −1.90271e9 | + | 3.29559e9i | −0.584289 | + | 1.01202i | ||||
\(131\) | 2.26690e9 | − | 3.92639e9i | 0.672531 | − | 1.16486i | −0.304653 | − | 0.952463i | \(-0.598540\pi\) |
0.977184 | − | 0.212394i | \(-0.0681262\pi\) | |||||||
\(132\) | −4.42859e8 | −0.126965 | ||||||||
\(133\) | −8.91425e8 | − | 1.31007e8i | −0.247032 | − | 0.0363046i | ||||
\(134\) | −1.68912e9 | −0.452574 | ||||||||
\(135\) | −2.04131e9 | + | 3.53566e9i | −0.528941 | + | 0.916153i | ||||
\(136\) | −9.30717e8 | + | 1.61205e9i | −0.233288 | + | 0.404067i | ||||
\(137\) | −1.22064e9 | − | 2.11421e9i | −0.296037 | − | 0.512750i | 0.679189 | − | 0.733963i | \(-0.262332\pi\) |
−0.975225 | + | 0.221213i | \(0.928998\pi\) | |||||||
\(138\) | 1.25709e9 | − | 2.17735e9i | 0.295061 | − | 0.511061i | ||||
\(139\) | −1.93022e9 | − | 3.34324e9i | −0.438571 | − | 0.759628i | 0.559008 | − | 0.829162i | \(-0.311182\pi\) |
−0.997580 | + | 0.0695343i | \(0.977849\pi\) | |||||||
\(140\) | 6.52076e8 | 0.143457 | ||||||||
\(141\) | 2.39519e9 | 0.510333 | ||||||||
\(142\) | 8.43880e8 | + | 1.46164e9i | 0.174174 | + | 0.301678i | ||||
\(143\) | 1.69623e9 | + | 2.93796e9i | 0.339214 | + | 0.587536i | ||||
\(144\) | −9.16166e8 | −0.177559 | ||||||||
\(145\) | 3.46468e9 | 0.650890 | ||||||||
\(146\) | −7.25974e8 | − | 1.25742e9i | −0.132231 | − | 0.229031i | ||||
\(147\) | −1.42878e9 | + | 2.47471e9i | −0.252369 | + | 0.437116i | ||||
\(148\) | −2.57900e9 | − | 4.46695e9i | −0.441848 | − | 0.765304i | ||||
\(149\) | 1.92493e9 | − | 3.33408e9i | 0.319946 | − | 0.554163i | −0.660530 | − | 0.750800i | \(-0.729668\pi\) |
0.980477 | + | 0.196636i | \(0.0630018\pi\) | |||||||
\(150\) | −3.78124e8 | + | 6.54930e8i | −0.0609851 | + | 0.105629i | ||||
\(151\) | 9.40087e8 | 0.147154 | 0.0735770 | − | 0.997290i | \(-0.476559\pi\) | ||||
0.0735770 | + | 0.997290i | \(0.476559\pi\) | |||||||
\(152\) | 2.30203e9 | + | 3.38314e8i | 0.349796 | + | 0.0514072i | ||||
\(153\) | 6.35304e9 | 0.937282 | ||||||||
\(154\) | 2.90657e8 | − | 5.03433e8i | 0.0416426 | − | 0.0721271i | ||||
\(155\) | −2.91747e9 | + | 5.05321e9i | −0.405989 | + | 0.703194i | ||||
\(156\) | −1.43165e9 | − | 2.47969e9i | −0.193542 | − | 0.335225i | ||||
\(157\) | 5.53767e9 | − | 9.59152e9i | 0.727409 | − | 1.25991i | −0.230566 | − | 0.973057i | \(-0.574058\pi\) |
0.957975 | − | 0.286852i | \(-0.0926088\pi\) | |||||||
\(158\) | 8.03708e8 | + | 1.39206e9i | 0.102599 | + | 0.177706i | ||||
\(159\) | −3.94025e9 | −0.488919 | ||||||||
\(160\) | −1.68393e9 | −0.203135 | ||||||||
\(161\) | 1.65011e9 | + | 2.85808e9i | 0.193552 | + | 0.335242i | ||||
\(162\) | 6.65345e8 | + | 1.15241e9i | 0.0758978 | + | 0.131459i | ||||
\(163\) | −5.19038e9 | −0.575911 | −0.287955 | − | 0.957644i | \(-0.592975\pi\) | ||||
−0.287955 | + | 0.957644i | \(0.592975\pi\) | |||||||
\(164\) | 3.72880e9 | 0.402506 | ||||||||
\(165\) | 1.38906e9 | + | 2.40591e9i | 0.145895 | + | 0.252698i | ||||
\(166\) | 4.67401e9 | − | 8.09562e9i | 0.477753 | − | 0.827492i | ||||
\(167\) | 2.26060e9 | + | 3.91547e9i | 0.224905 | + | 0.389547i | 0.956291 | − | 0.292417i | \(-0.0944595\pi\) |
−0.731386 | + | 0.681964i | \(0.761126\pi\) | |||||||
\(168\) | −2.45319e8 | + | 4.24905e8i | −0.0237596 | + | 0.0411529i | ||||
\(169\) | −5.66471e9 | + | 9.81157e9i | −0.534180 | + | 0.925227i | ||||
\(170\) | 1.16770e10 | 1.07229 | ||||||||
\(171\) | −2.92843e9 | − | 7.38151e9i | −0.261910 | − | 0.660181i | ||||
\(172\) | 5.95544e9 | 0.518843 | ||||||||
\(173\) | 5.52904e9 | − | 9.57659e9i | 0.469291 | − | 0.812837i | −0.530092 | − | 0.847940i | \(-0.677843\pi\) |
0.999384 | + | 0.0351033i | \(0.0111760\pi\) | |||||||
\(174\) | −1.30346e9 | + | 2.25766e9i | −0.107802 | + | 0.186718i | ||||
\(175\) | −4.96341e8 | − | 8.59688e8i | −0.0400045 | − | 0.0692898i | ||||
\(176\) | −7.50598e8 | + | 1.30007e9i | −0.0589658 | + | 0.102132i | ||||
\(177\) | 6.37221e9 | + | 1.10370e10i | 0.487989 | + | 0.845222i | ||||
\(178\) | 9.23022e9 | 0.689163 | ||||||||
\(179\) | −2.94330e9 | −0.214287 | −0.107144 | − | 0.994244i | \(-0.534170\pi\) | ||||
−0.107144 | + | 0.994244i | \(0.534170\pi\) | |||||||
\(180\) | 2.87361e9 | + | 4.97724e9i | 0.204034 | + | 0.353397i | ||||
\(181\) | 8.44821e9 | + | 1.46327e10i | 0.585074 | + | 1.01338i | 0.994866 | + | 0.101199i | \(0.0322679\pi\) |
−0.409792 | + | 0.912179i | \(0.634399\pi\) | |||||||
\(182\) | 3.75848e9 | 0.253916 | ||||||||
\(183\) | −5.10051e9 | −0.336189 | ||||||||
\(184\) | −4.26128e9 | − | 7.38075e9i | −0.274069 | − | 0.474701i | ||||
\(185\) | −1.61784e10 | + | 2.80218e10i | −1.01546 | + | 1.75883i | ||||
\(186\) | −2.19518e9 | − | 3.80217e9i | −0.134481 | − | 0.232929i | ||||
\(187\) | 5.20493e9 | − | 9.01521e9i | 0.311263 | − | 0.539124i | ||||
\(188\) | 4.05958e9 | − | 7.03141e9i | 0.237012 | − | 0.410518i | ||||
\(189\) | 4.03226e9 | 0.229864 | ||||||||
\(190\) | −5.38251e9 | − | 1.35674e10i | −0.299636 | − | 0.755274i | ||||
\(191\) | 4.35774e9 | 0.236925 | 0.118463 | − | 0.992959i | \(-0.462203\pi\) | ||||
0.118463 | + | 0.992959i | \(0.462203\pi\) | |||||||
\(192\) | 6.33516e8 | − | 1.09728e9i | 0.0336436 | − | 0.0582724i | ||||
\(193\) | 1.79393e9 | − | 3.10718e9i | 0.0930673 | − | 0.161197i | −0.815733 | − | 0.578429i | \(-0.803666\pi\) |
0.908800 | + | 0.417231i | \(0.136999\pi\) | |||||||
\(194\) | −7.15536e9 | − | 1.23935e10i | −0.362680 | − | 0.628181i | ||||
\(195\) | −8.98091e9 | + | 1.55554e10i | −0.444800 | + | 0.770416i | ||||
\(196\) | 4.84325e9 | + | 8.38875e9i | 0.234414 | + | 0.406018i | ||||
\(197\) | 1.39268e10 | 0.658799 | 0.329399 | − | 0.944191i | \(-0.393154\pi\) | ||||
0.329399 | + | 0.944191i | \(0.393154\pi\) | |||||||
\(198\) | 5.12356e9 | 0.236907 | ||||||||
\(199\) | −1.97683e10 | − | 3.42397e10i | −0.893573 | − | 1.54771i | −0.835561 | − | 0.549398i | \(-0.814857\pi\) |
−0.0580118 | − | 0.998316i | \(-0.518476\pi\) | |||||||
\(200\) | 1.28176e9 | + | 2.22007e9i | 0.0566463 | + | 0.0981142i | ||||
\(201\) | −7.97276e9 | −0.344530 | ||||||||
\(202\) | −1.93705e10 | −0.818575 | ||||||||
\(203\) | −1.71097e9 | − | 2.96349e9i | −0.0707149 | − | 0.122482i | ||||
\(204\) | −4.39304e9 | + | 7.60897e9i | −0.177595 | + | 0.307603i | ||||
\(205\) | −1.16956e10 | − | 2.02574e10i | −0.462521 | − | 0.801109i | ||||
\(206\) | −1.03375e10 | + | 1.79050e10i | −0.399955 | + | 0.692743i | ||||
\(207\) | −1.45437e10 | + | 2.51904e10i | −0.550564 | + | 0.953604i | ||||
\(208\) | −9.70595e9 | −0.359545 | ||||||||
\(209\) | −1.28739e10 | − | 1.89199e9i | −0.466713 | − | 0.0685898i | ||||
\(210\) | 3.07784e9 | 0.109209 | ||||||||
\(211\) | −8.90289e9 | + | 1.54203e10i | −0.309215 | + | 0.535576i | −0.978191 | − | 0.207708i | \(-0.933400\pi\) |
0.668976 | + | 0.743284i | \(0.266733\pi\) | |||||||
\(212\) | −6.67830e9 | + | 1.15672e10i | −0.227067 | + | 0.393292i | ||||
\(213\) | 3.98317e9 | + | 6.89905e9i | 0.132593 | + | 0.229658i | ||||
\(214\) | 5.45119e9 | − | 9.44174e9i | 0.177676 | − | 0.307744i | ||||
\(215\) | −1.86796e10 | − | 3.23541e10i | −0.596204 | − | 1.03266i | ||||
\(216\) | −1.04130e10 | −0.325487 | ||||||||
\(217\) | 5.76297e9 | 0.176432 | ||||||||
\(218\) | −1.07173e10 | − | 1.85630e10i | −0.321390 | − | 0.556664i | ||||
\(219\) | −3.42664e9 | − | 5.93512e9i | −0.100663 | − | 0.174354i | ||||
\(220\) | 9.41720e9 | 0.271031 | ||||||||
\(221\) | 6.73048e10 | 1.89793 | ||||||||
\(222\) | −1.21730e10 | − | 2.10843e10i | −0.336365 | − | 0.582601i | ||||
\(223\) | −1.09478e10 | + | 1.89622e10i | −0.296453 | + | 0.513471i | −0.975322 | − | 0.220788i | \(-0.929137\pi\) |
0.678869 | + | 0.734259i | \(0.262470\pi\) | |||||||
\(224\) | 8.31580e8 | + | 1.44034e9i | 0.0220693 | + | 0.0382251i | ||||
\(225\) | 4.37462e9 | − | 7.57706e9i | 0.113794 | − | 0.197097i | ||||
\(226\) | 1.47078e10 | − | 2.54746e10i | 0.375024 | − | 0.649560i | ||||
\(227\) | −7.28196e10 | −1.82025 | −0.910127 | − | 0.414330i | \(-0.864016\pi\) | ||||
−0.910127 | + | 0.414330i | \(0.864016\pi\) | |||||||
\(228\) | 1.08657e10 | + | 1.59687e9i | 0.266288 | + | 0.0391347i | ||||
\(229\) | 4.06447e10 | 0.976661 | 0.488331 | − | 0.872659i | \(-0.337606\pi\) | ||||
0.488331 | + | 0.872659i | \(0.337606\pi\) | |||||||
\(230\) | −2.67316e10 | + | 4.63004e10i | −0.629867 | + | 1.09096i | ||||
\(231\) | 1.37192e9 | − | 2.37624e9i | 0.0317012 | − | 0.0549080i | ||||
\(232\) | 4.41844e9 | + | 7.65297e9i | 0.100132 | + | 0.173434i | ||||
\(233\) | −2.05691e9 | + | 3.56267e9i | −0.0457208 | + | 0.0791908i | −0.887980 | − | 0.459882i | \(-0.847892\pi\) |
0.842259 | + | 0.539073i | \(0.181225\pi\) | |||||||
\(234\) | 1.65631e10 | + | 2.86882e10i | 0.361136 | + | 0.625506i | ||||
\(235\) | −5.09326e10 | −1.08941 | ||||||||
\(236\) | 4.32008e10 | 0.906542 | ||||||||
\(237\) | 3.79355e9 | + | 6.57063e9i | 0.0781050 | + | 0.135282i | ||||
\(238\) | −5.76649e9 | − | 9.98785e9i | −0.116497 | − | 0.201779i | ||||
\(239\) | 5.68395e10 | 1.12683 | 0.563417 | − | 0.826173i | \(-0.309486\pi\) | ||||
0.563417 | + | 0.826173i | \(0.309486\pi\) | |||||||
\(240\) | −7.94826e9 | −0.154640 | ||||||||
\(241\) | −4.92295e10 | − | 8.52679e10i | −0.940044 | − | 1.62820i | −0.765382 | − | 0.643576i | \(-0.777450\pi\) |
−0.174663 | − | 0.984628i | \(-0.555883\pi\) | |||||||
\(242\) | −1.46659e10 | + | 2.54022e10i | −0.274879 | + | 0.476104i | ||||
\(243\) | 2.81598e10 | + | 4.87743e10i | 0.518086 | + | 0.897352i | ||||
\(244\) | −8.64482e9 | + | 1.49733e10i | −0.156136 | + | 0.270435i | ||||
\(245\) | 3.03823e10 | − | 5.26237e10i | 0.538733 | − | 0.933113i | ||||
\(246\) | 1.76002e10 | 0.306414 | ||||||||
\(247\) | −3.10241e10 | − | 7.82005e10i | −0.530350 | − | 1.33682i | ||||
\(248\) | −1.48824e10 | −0.249827 | ||||||||
\(249\) | 2.20616e10 | − | 3.82118e10i | 0.363697 | − | 0.629943i | ||||
\(250\) | −1.70519e10 | + | 2.95347e10i | −0.276085 | + | 0.478193i | ||||
\(251\) | 1.80223e10 | + | 3.12156e10i | 0.286602 | + | 0.496410i | 0.972996 | − | 0.230820i | \(-0.0741409\pi\) |
−0.686394 | + | 0.727230i | \(0.740808\pi\) | |||||||
\(252\) | 2.83817e9 | − | 4.91585e9i | 0.0443338 | − | 0.0767885i | ||||
\(253\) | 2.38307e10 | + | 4.12761e10i | 0.365675 | + | 0.633368i | ||||
\(254\) | −9.10049e9 | −0.137187 | ||||||||
\(255\) | 5.51162e10 | 0.816298 | ||||||||
\(256\) | −2.14748e9 | − | 3.71955e9i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 6.04590e10 | + | 1.04718e11i | 0.864493 | + | 1.49735i | 0.867549 | + | 0.497351i | \(0.165694\pi\) |
−0.00305587 | + | 0.999995i | \(0.500973\pi\) | |||||||
\(258\) | 2.81100e10 | 0.394978 | ||||||||
\(259\) | 3.19576e10 | 0.441292 | ||||||||
\(260\) | 3.04434e10 | + | 5.27294e10i | 0.413154 | + | 0.715604i | ||||
\(261\) | 1.50801e10 | − | 2.61194e10i | 0.201150 | − | 0.348403i | ||||
\(262\) | −3.62705e10 | − | 6.28223e10i | −0.475551 | − | 0.823679i | ||||
\(263\) | −5.13870e10 | + | 8.90049e10i | −0.662296 | + | 1.14713i | 0.317714 | + | 0.948186i | \(0.397085\pi\) |
−0.980011 | + | 0.198944i | \(0.936249\pi\) | |||||||
\(264\) | −3.54287e9 | + | 6.13643e9i | −0.0448888 | + | 0.0777496i | ||||
\(265\) | 8.37878e10 | 1.04370 | ||||||||
\(266\) | −8.94669e9 | + | 1.13039e10i | −0.109571 | + | 0.138440i | ||||
\(267\) | 4.35672e10 | 0.524637 | ||||||||
\(268\) | −1.35130e10 | + | 2.34052e10i | −0.160009 | + | 0.277144i | ||||
\(269\) | 4.59020e10 | − | 7.95046e10i | 0.534499 | − | 0.925779i | −0.464689 | − | 0.885474i | \(-0.653834\pi\) |
0.999187 | − | 0.0403048i | \(-0.0128329\pi\) | |||||||
\(270\) | 3.26610e10 | + | 5.65705e10i | 0.374018 | + | 0.647818i | ||||
\(271\) | 6.32678e9 | − | 1.09583e10i | 0.0712559 | − | 0.123419i | −0.828196 | − | 0.560438i | \(-0.810633\pi\) |
0.899452 | + | 0.437020i | \(0.143966\pi\) | |||||||
\(272\) | 1.48915e10 | + | 2.57928e10i | 0.164960 | + | 0.285718i | ||||
\(273\) | 1.77403e10 | 0.193298 | ||||||||
\(274\) | −3.90605e10 | −0.418659 | ||||||||
\(275\) | −7.16810e9 | − | 1.24155e10i | −0.0755800 | − | 0.130908i | ||||
\(276\) | −2.01135e10 | − | 3.48376e10i | −0.208640 | − | 0.361375i | ||||
\(277\) | −7.98480e10 | −0.814901 | −0.407451 | − | 0.913227i | \(-0.633582\pi\) | ||||
−0.407451 | + | 0.913227i | \(0.633582\pi\) | |||||||
\(278\) | −6.17670e10 | −0.620233 | ||||||||
\(279\) | 2.53967e10 | + | 4.39883e10i | 0.250933 | + | 0.434629i | ||||
\(280\) | 5.21661e9 | − | 9.03543e9i | 0.0507197 | − | 0.0878492i | ||||
\(281\) | 5.99385e10 | + | 1.03817e11i | 0.573492 | + | 0.993318i | 0.996204 | + | 0.0870534i | \(0.0277451\pi\) |
−0.422711 | + | 0.906264i | \(0.638922\pi\) | |||||||
\(282\) | 1.91615e10 | − | 3.31887e10i | 0.180430 | − | 0.312514i | ||||
\(283\) | 8.47968e10 | − | 1.46872e11i | 0.785851 | − | 1.36113i | −0.142638 | − | 0.989775i | \(-0.545558\pi\) |
0.928489 | − | 0.371360i | \(-0.121108\pi\) | |||||||
\(284\) | 2.70042e10 | 0.246319 | ||||||||
\(285\) | −2.54058e10 | − | 6.40388e10i | −0.228103 | − | 0.574965i | ||||
\(286\) | 5.42795e10 | 0.479721 | ||||||||
\(287\) | −1.15514e10 | + | 2.00075e10i | −0.100500 | + | 0.174071i | ||||
\(288\) | −7.32932e9 | + | 1.26948e10i | −0.0627766 | + | 0.108732i | ||||
\(289\) | −4.39691e10 | − | 7.61568e10i | −0.370773 | − | 0.642197i | ||||
\(290\) | 2.77175e10 | − | 4.80081e10i | 0.230124 | − | 0.398587i | ||||
\(291\) | −3.37738e10 | − | 5.84979e10i | −0.276097 | − | 0.478213i | ||||
\(292\) | −2.32312e10 | −0.187003 | ||||||||
\(293\) | −1.45449e11 | −1.15294 | −0.576469 | − | 0.817119i | \(-0.695570\pi\) | ||||
−0.576469 | + | 0.817119i | \(0.695570\pi\) | |||||||
\(294\) | 2.28604e10 | + | 3.95954e10i | 0.178452 | + | 0.309088i | ||||
\(295\) | −1.35502e11 | − | 2.34697e11i | −1.04171 | − | 1.80430i | ||||
\(296\) | −8.25279e10 | −0.624868 | ||||||||
\(297\) | 5.82335e10 | 0.434279 | ||||||||
\(298\) | −3.07989e10 | − | 5.33453e10i | −0.226236 | − | 0.391853i | ||||
\(299\) | −1.54077e11 | + | 2.66870e11i | −1.11485 | + | 1.93098i | ||||
\(300\) | 6.04998e9 | + | 1.04789e10i | 0.0431229 | + | 0.0746911i | ||||
\(301\) | −1.84492e10 | + | 3.19550e10i | −0.129547 | + | 0.224383i | ||||
\(302\) | 7.52070e9 | − | 1.30262e10i | 0.0520268 | − | 0.0901130i | ||||
\(303\) | −9.14298e10 | −0.623155 | ||||||||
\(304\) | 2.31041e10 | − | 2.91914e10i | 0.155152 | − | 0.196030i | ||||
\(305\) | 1.08460e11 | 0.717664 | ||||||||
\(306\) | 5.08243e10 | − | 8.80303e10i | 0.331379 | − | 0.573965i | ||||
\(307\) | −4.19179e10 | + | 7.26039e10i | −0.269325 | + | 0.466485i | −0.968688 | − | 0.248282i | \(-0.920134\pi\) |
0.699363 | + | 0.714767i | \(0.253467\pi\) | |||||||
\(308\) | −4.65052e9 | − | 8.05493e9i | −0.0294458 | − | 0.0510016i | ||||
\(309\) | −4.87935e10 | + | 8.45128e10i | −0.304473 | + | 0.527362i | ||||
\(310\) | 4.66796e10 | + | 8.08514e10i | 0.287078 | + | 0.497233i | ||||
\(311\) | −7.24440e10 | −0.439117 | −0.219559 | − | 0.975599i | \(-0.570462\pi\) | ||||
−0.219559 | + | 0.975599i | \(0.570462\pi\) | |||||||
\(312\) | −4.58127e10 | −0.273710 | ||||||||
\(313\) | −1.36607e10 | − | 2.36610e10i | −0.0804493 | − | 0.139342i | 0.822994 | − | 0.568050i | \(-0.192302\pi\) |
−0.903443 | + | 0.428708i | \(0.858969\pi\) | |||||||
\(314\) | −8.86027e10 | − | 1.53464e11i | −0.514356 | − | 0.890890i | ||||
\(315\) | −3.56084e10 | −0.203777 | ||||||||
\(316\) | 2.57187e10 | 0.145096 | ||||||||
\(317\) | 9.05785e10 | + | 1.56887e11i | 0.503800 | + | 0.872607i | 0.999990 | + | 0.00439358i | \(0.00139853\pi\) |
−0.496190 | + | 0.868214i | \(0.665268\pi\) | |||||||
\(318\) | −3.15220e10 | + | 5.45977e10i | −0.172859 | + | 0.299401i | ||||
\(319\) | −2.47097e10 | − | 4.27984e10i | −0.133601 | − | 0.231403i | ||||
\(320\) | −1.34714e10 | + | 2.33332e10i | −0.0718190 | + | 0.124394i | ||||
\(321\) | 2.57300e10 | − | 4.45656e10i | 0.135259 | − | 0.234276i | ||||
\(322\) | 5.28037e10 | 0.273724 | ||||||||
\(323\) | −1.60212e11 | + | 2.02424e11i | −0.819001 | + | 1.03479i | ||||
\(324\) | 2.12910e10 | 0.107336 | ||||||||
\(325\) | 4.63452e10 | − | 8.02722e10i | 0.230425 | − | 0.399108i | ||||
\(326\) | −4.15231e10 | + | 7.19200e10i | −0.203615 | + | 0.352672i | ||||
\(327\) | −5.05865e10 | − | 8.76184e10i | −0.244664 | − | 0.423770i | ||||
\(328\) | 2.98304e10 | − | 5.16678e10i | 0.142307 | − | 0.246483i | ||||
\(329\) | 2.51522e10 | + | 4.35648e10i | 0.118357 | + | 0.205000i | ||||
\(330\) | 4.44498e10 | 0.206327 | ||||||||
\(331\) | −2.65282e11 | −1.21474 | −0.607369 | − | 0.794420i | \(-0.707775\pi\) | ||||
−0.607369 | + | 0.794420i | \(0.707775\pi\) | |||||||
\(332\) | −7.47841e10 | − | 1.29530e11i | −0.337822 | − | 0.585125i | ||||
\(333\) | 1.40833e11 | + | 2.43930e11i | 0.627633 | + | 1.08709i | ||||
\(334\) | 7.23391e10 | 0.318064 | ||||||||
\(335\) | 1.69537e11 | 0.735468 | ||||||||
\(336\) | 3.92511e9 | + | 6.79849e9i | 0.0168006 | + | 0.0290995i | ||||
\(337\) | −3.59987e10 | + | 6.23516e10i | −0.152038 | + | 0.263338i | −0.931977 | − | 0.362518i | \(-0.881917\pi\) |
0.779939 | + | 0.625856i | \(0.215250\pi\) | |||||||
\(338\) | 9.06354e10 | + | 1.56985e11i | 0.377723 | + | 0.654235i | ||||
\(339\) | 6.94216e10 | − | 1.20242e11i | 0.285493 | − | 0.494489i | ||||
\(340\) | 9.34161e10 | − | 1.61801e11i | 0.379111 | − | 0.656640i | ||||
\(341\) | 8.32281e10 | 0.333331 | ||||||||
\(342\) | −1.25709e11 | − | 1.84746e10i | −0.496876 | − | 0.0730226i | ||||
\(343\) | −1.24020e11 | −0.483804 | ||||||||
\(344\) | 4.76435e10 | − | 8.25210e10i | 0.183439 | − | 0.317725i | ||||
\(345\) | −1.26175e11 | + | 2.18541e11i | −0.479497 | + | 0.830514i | ||||
\(346\) | −8.84647e10 | − | 1.53225e11i | −0.331839 | − | 0.574762i | ||||
\(347\) | 8.45543e10 | − | 1.46452e11i | 0.313078 | − | 0.542268i | −0.665949 | − | 0.745997i | \(-0.731973\pi\) |
0.979027 | + | 0.203730i | \(0.0653064\pi\) | |||||||
\(348\) | 2.08553e10 | + | 3.61225e10i | 0.0762273 | + | 0.132029i | ||||
\(349\) | −5.10748e11 | −1.84286 | −0.921431 | − | 0.388543i | \(-0.872979\pi\) | ||||
−0.921431 | + | 0.388543i | \(0.872979\pi\) | |||||||
\(350\) | −1.58829e10 | −0.0565749 | ||||||||
\(351\) | 1.88254e11 | + | 3.26065e11i | 0.662005 | + | 1.14663i | ||||
\(352\) | 1.20096e10 | + | 2.08012e10i | 0.0416951 | + | 0.0722181i | ||||
\(353\) | 2.76119e11 | 0.946476 | 0.473238 | − | 0.880935i | \(-0.343085\pi\) | ||||
0.473238 | + | 0.880935i | \(0.343085\pi\) | |||||||
\(354\) | 2.03911e11 | 0.690121 | ||||||||
\(355\) | −8.47003e10 | − | 1.46705e11i | −0.283046 | − | 0.490250i | ||||
\(356\) | 7.38417e10 | − | 1.27898e11i | 0.243656 | − | 0.422024i | ||||
\(357\) | −2.72182e10 | − | 4.71433e10i | −0.0886854 | − | 0.153608i | ||||
\(358\) | −2.35464e10 | + | 4.07836e10i | −0.0757620 | + | 0.131224i | ||||
\(359\) | 2.14740e11 | − | 3.71941e11i | 0.682320 | − | 1.18181i | −0.291952 | − | 0.956433i | \(-0.594305\pi\) |
0.974271 | − | 0.225379i | \(-0.0723621\pi\) | |||||||
\(360\) | 9.19556e10 | 0.288547 | ||||||||
\(361\) | 3.09043e11 | + | 9.28414e10i | 0.957717 | + | 0.287713i | ||||
\(362\) | 2.70343e11 | 0.827420 | ||||||||
\(363\) | −6.92242e10 | + | 1.19900e11i | −0.209256 | + | 0.362442i | ||||
\(364\) | 3.00678e10 | − | 5.20790e10i | 0.0897730 | − | 0.155491i | ||||
\(365\) | 7.28661e10 | + | 1.26208e11i | 0.214886 | + | 0.372193i | ||||
\(366\) | −4.08041e10 | + | 7.06748e10i | −0.118861 | + | 0.205873i | ||||
\(367\) | −5.11098e10 | − | 8.85248e10i | −0.147064 | − | 0.254723i | 0.783077 | − | 0.621925i | \(-0.213649\pi\) |
−0.930141 | + | 0.367202i | \(0.880316\pi\) | |||||||
\(368\) | −1.36361e11 | −0.387592 | ||||||||
\(369\) | −2.03621e11 | −0.571748 | ||||||||
\(370\) | 2.58854e11 | + | 4.48349e11i | 0.718038 | + | 1.24368i | ||||
\(371\) | −4.13771e10 | − | 7.16672e10i | −0.113391 | − | 0.196398i | ||||
\(372\) | −7.02458e10 | −0.190185 | ||||||||
\(373\) | −1.38332e11 | −0.370026 | −0.185013 | − | 0.982736i | \(-0.559233\pi\) | ||||
−0.185013 | + | 0.982736i | \(0.559233\pi\) | |||||||
\(374\) | −8.32789e10 | − | 1.44243e11i | −0.220096 | − | 0.381218i | ||||
\(375\) | −8.04860e10 | + | 1.39406e11i | −0.210174 | + | 0.364032i | ||||
\(376\) | −6.49533e10 | − | 1.12502e11i | −0.167593 | − | 0.290280i | ||||
\(377\) | 1.59760e11 | − | 2.76712e11i | 0.407316 | − | 0.705492i | ||||
\(378\) | 3.22581e10 | − | 5.58727e10i | 0.0812692 | − | 0.140762i | ||||
\(379\) | 5.54133e11 | 1.37955 | 0.689776 | − | 0.724023i | \(-0.257709\pi\) | ||||
0.689776 | + | 0.724023i | \(0.257709\pi\) | |||||||
\(380\) | −2.31055e11 | − | 3.39566e10i | −0.568446 | − | 0.0835408i | ||||
\(381\) | −4.29549e10 | −0.104436 | ||||||||
\(382\) | 3.48619e10 | − | 6.03827e10i | 0.0837657 | − | 0.145087i | ||||
\(383\) | 1.12421e11 | − | 1.94718e11i | 0.266963 | − | 0.462394i | −0.701113 | − | 0.713050i | \(-0.747313\pi\) |
0.968076 | + | 0.250657i | \(0.0806465\pi\) | |||||||
\(384\) | −1.01363e10 | − | 1.75565e10i | −0.0237896 | − | 0.0412048i | ||||
\(385\) | −2.91733e10 | + | 5.05296e10i | −0.0676725 | + | 0.117212i | ||||
\(386\) | −2.87029e10 | − | 4.97148e10i | −0.0658085 | − | 0.113984i | ||||
\(387\) | −3.25213e11 | −0.737002 | ||||||||
\(388\) | −2.28972e11 | −0.512907 | ||||||||
\(389\) | 1.35134e11 | + | 2.34060e11i | 0.299221 | + | 0.518267i | 0.975958 | − | 0.217959i | \(-0.0699398\pi\) |
−0.676737 | + | 0.736225i | \(0.736606\pi\) | |||||||
\(390\) | 1.43695e11 | + | 2.48886e11i | 0.314521 | + | 0.544766i | ||||
\(391\) | 9.45579e11 | 2.04598 | ||||||||
\(392\) | 1.54984e11 | 0.331512 | ||||||||
\(393\) | −1.71199e11 | − | 2.96525e11i | −0.362022 | − | 0.627040i | ||||
\(394\) | 1.11414e11 | − | 1.92975e11i | 0.232920 | − | 0.403430i | ||||
\(395\) | −8.06682e10 | − | 1.39722e11i | −0.166731 | − | 0.288786i | ||||
\(396\) | 4.09884e10 | − | 7.09941e10i | 0.0837593 | − | 0.145075i | ||||
\(397\) | 1.54384e11 | − | 2.67402e11i | 0.311922 | − | 0.540265i | −0.666856 | − | 0.745186i | \(-0.732360\pi\) |
0.978778 | + | 0.204921i | \(0.0656938\pi\) | |||||||
\(398\) | −6.32585e11 | −1.26370 | ||||||||
\(399\) | −4.22289e10 | + | 5.33551e10i | −0.0834127 | + | 0.105390i | ||||
\(400\) | 4.10163e10 | 0.0801099 | ||||||||
\(401\) | 3.92208e11 | − | 6.79324e11i | 0.757472 | − | 1.31198i | −0.186663 | − | 0.982424i | \(-0.559767\pi\) |
0.944136 | − | 0.329557i | \(-0.106899\pi\) | |||||||
\(402\) | −6.37821e10 | + | 1.10474e11i | −0.121810 | + | 0.210980i | ||||
\(403\) | 2.69055e11 | + | 4.66017e11i | 0.508122 | + | 0.880093i | ||||
\(404\) | −1.54964e11 | + | 2.68405e11i | −0.289410 | + | 0.501273i | ||||
\(405\) | −6.67807e10 | − | 1.15668e11i | −0.123340 | − | 0.213631i | ||||
\(406\) | −5.47511e10 | −0.100006 | ||||||||
\(407\) | 4.61528e11 | 0.833726 | ||||||||
\(408\) | 7.02887e10 | + | 1.21744e11i | 0.125578 | + | 0.217508i | ||||
\(409\) | −4.88322e10 | − | 8.45799e10i | −0.0862883 | − | 0.149456i | 0.819651 | − | 0.572863i | \(-0.194167\pi\) |
−0.905939 | + | 0.423407i | \(0.860834\pi\) | |||||||
\(410\) | −3.74260e11 | −0.654103 | ||||||||
\(411\) | −1.84368e11 | −0.318711 | ||||||||
\(412\) | 1.65399e11 | + | 2.86480e11i | 0.282811 | + | 0.489843i | ||||
\(413\) | −1.33831e11 | + | 2.31802e11i | −0.226350 | + | 0.392050i | ||||
\(414\) | 2.32699e11 | + | 4.03046e11i | 0.389307 | + | 0.674300i | ||||
\(415\) | −4.69131e11 | + | 8.12558e11i | −0.776385 | + | 1.34474i | ||||
\(416\) | −7.76476e10 | + | 1.34490e11i | −0.127118 | + | 0.220175i | ||||
\(417\) | −2.91544e11 | −0.472163 | ||||||||
\(418\) | −1.29207e11 | + | 1.63249e11i | −0.207011 | + | 0.261552i | ||||
\(419\) | 4.86127e11 | 0.770524 | 0.385262 | − | 0.922807i | \(-0.374111\pi\) | ||||
0.385262 | + | 0.922807i | \(0.374111\pi\) | |||||||
\(420\) | 2.46227e10 | − | 4.26478e10i | 0.0386113 | − | 0.0668767i | ||||
\(421\) | −4.34077e11 | + | 7.51843e11i | −0.673437 | + | 1.16643i | 0.303486 | + | 0.952836i | \(0.401849\pi\) |
−0.976923 | + | 0.213591i | \(0.931484\pi\) | |||||||
\(422\) | 1.42446e11 | + | 2.46724e11i | 0.218648 | + | 0.378709i | ||||
\(423\) | −2.21685e11 | + | 3.83969e11i | −0.336670 | + | 0.583129i | ||||
\(424\) | 1.06853e11 | + | 1.85075e11i | 0.160561 | + | 0.278100i | ||||
\(425\) | −2.84422e11 | −0.422877 | ||||||||
\(426\) | 1.27461e11 | 0.187515 | ||||||||
\(427\) | −5.35612e10 | − | 9.27706e10i | −0.0779695 | − | 0.135047i | ||||
\(428\) | −8.72191e10 | − | 1.51068e11i | −0.125636 | − | 0.217608i | ||||
\(429\) | 2.56203e11 | 0.365196 | ||||||||
\(430\) | −5.97748e11 | −0.843160 | ||||||||
\(431\) | −6.84879e10 | − | 1.18624e11i | −0.0956018 | − | 0.165587i | 0.814258 | − | 0.580503i | \(-0.197144\pi\) |
−0.909860 | + | 0.414916i | \(0.863811\pi\) | |||||||
\(432\) | −8.33039e10 | + | 1.44287e11i | −0.115077 | + | 0.199319i | ||||
\(433\) | −4.15303e11 | − | 7.19326e11i | −0.567766 | − | 0.983400i | −0.996786 | − | 0.0801052i | \(-0.974474\pi\) |
0.429020 | − | 0.903295i | \(-0.358859\pi\) | |||||||
\(434\) | 4.61038e10 | − | 7.98541e10i | 0.0623782 | − | 0.108042i | ||||
\(435\) | 1.30828e11 | − | 2.26601e11i | 0.175186 | − | 0.303431i | ||||
\(436\) | −3.42955e11 | −0.454514 | ||||||||
\(437\) | −4.35864e11 | − | 1.09866e12i | −0.571721 | − | 1.44110i | ||||
\(438\) | −1.09653e11 | −0.142359 | ||||||||
\(439\) | 4.48148e11 | − | 7.76215e11i | 0.575878 | − | 0.997451i | −0.420067 | − | 0.907493i | \(-0.637993\pi\) |
0.995946 | − | 0.0899576i | \(-0.0286732\pi\) | |||||||
\(440\) | 7.53376e10 | − | 1.30489e11i | 0.0958241 | − | 0.165972i | ||||
\(441\) | −2.64479e11 | − | 4.58090e11i | −0.332979 | − | 0.576737i | ||||
\(442\) | 5.38438e11 | − | 9.32602e11i | 0.671020 | − | 1.16224i | ||||
\(443\) | 4.39046e11 | + | 7.60450e11i | 0.541618 | + | 0.938110i | 0.998811 | + | 0.0487425i | \(0.0155214\pi\) |
−0.457193 | + | 0.889367i | \(0.651145\pi\) | |||||||
\(444\) | −3.89537e11 | −0.475691 | ||||||||
\(445\) | −9.26438e11 | −1.11994 | ||||||||
\(446\) | 1.75165e11 | + | 3.03395e11i | 0.209624 | + | 0.363079i | ||||
\(447\) | −1.45373e11 | − | 2.51793e11i | −0.172226 | − | 0.298305i | ||||
\(448\) | 2.66105e10 | 0.0312106 | ||||||||
\(449\) | −8.80958e11 | −1.02293 | −0.511466 | − | 0.859304i | \(-0.670897\pi\) | ||||
−0.511466 | + | 0.859304i | \(0.670897\pi\) | |||||||
\(450\) | −6.99939e10 | − | 1.21233e11i | −0.0804644 | − | 0.139368i | ||||
\(451\) | −1.66823e11 | + | 2.88946e11i | −0.189873 | + | 0.328869i | ||||
\(452\) | −2.35324e11 | − | 4.07594e11i | −0.265182 | − | 0.459309i | ||||
\(453\) | 3.54982e10 | − | 6.14846e10i | 0.0396063 | − | 0.0686001i | ||||
\(454\) | −5.82557e11 | + | 1.00902e12i | −0.643557 | + | 1.11467i | ||||
\(455\) | −3.77239e11 | −0.412634 | ||||||||
\(456\) | 1.09053e11 | − | 1.37785e11i | 0.118112 | − | 0.149231i | ||||
\(457\) | −1.50869e12 | −1.61800 | −0.808998 | − | 0.587812i | \(-0.799990\pi\) | ||||
−0.808998 | + | 0.587812i | \(0.799990\pi\) | |||||||
\(458\) | 3.25157e11 | − | 5.63189e11i | 0.345302 | − | 0.598080i | ||||
\(459\) | 5.77661e11 | − | 1.00054e12i | 0.607457 | − | 1.05215i | ||||
\(460\) | 4.27705e11 | + | 7.40807e11i | 0.445384 | + | 0.771427i | ||||
\(461\) | 5.56595e11 | − | 9.64051e11i | 0.573965 | − | 0.994136i | −0.422189 | − | 0.906508i | \(-0.638738\pi\) |
0.996153 | − | 0.0876279i | \(-0.0279286\pi\) | |||||||
\(462\) | −2.19507e10 | − | 3.80198e10i | −0.0224161 | − | 0.0388258i | ||||
\(463\) | −3.12075e11 | −0.315605 | −0.157803 | − | 0.987471i | \(-0.550441\pi\) | ||||
−0.157803 | + | 0.987471i | \(0.550441\pi\) | |||||||
\(464\) | 1.41390e11 | 0.141608 | ||||||||
\(465\) | 2.20331e11 | + | 3.81624e11i | 0.218543 | + | 0.378527i | ||||
\(466\) | 3.29106e10 | + | 5.70028e10i | 0.0323295 | + | 0.0559963i | ||||
\(467\) | 7.91645e11 | 0.770202 | 0.385101 | − | 0.922874i | \(-0.374167\pi\) | ||||
0.385101 | + | 0.922874i | \(0.374167\pi\) | |||||||
\(468\) | 5.30020e11 | 0.510724 | ||||||||
\(469\) | −8.37230e10 | − | 1.45013e11i | −0.0799037 | − | 0.138397i | ||||
\(470\) | −4.07461e11 | + | 7.05743e11i | −0.385164 | + | 0.667123i | ||||
\(471\) | −4.18210e11 | − | 7.24361e11i | −0.391562 | − | 0.678205i | ||||
\(472\) | 3.45607e11 | − | 5.98608e11i | 0.320511 | − | 0.555141i | ||||
\(473\) | −2.66441e11 | + | 4.61490e11i | −0.244752 | + | 0.423923i | ||||
\(474\) | 1.21394e11 | 0.110457 | ||||||||
\(475\) | 1.31104e11 | + | 3.30467e11i | 0.118167 | + | 0.297856i | ||||
\(476\) | −1.84528e11 | −0.164752 | ||||||||
\(477\) | 3.64687e11 | − | 6.31656e11i | 0.322543 | − | 0.558661i | ||||
\(478\) | 4.54716e11 | − | 7.87592e11i | 0.398396 | − | 0.690042i | ||||
\(479\) | 2.42303e11 | + | 4.19680e11i | 0.210304 | + | 0.364258i | 0.951810 | − | 0.306689i | \(-0.0992212\pi\) |
−0.741505 | + | 0.670947i | \(0.765888\pi\) | |||||||
\(480\) | −6.35861e10 | + | 1.10134e11i | −0.0546734 | + | 0.0946972i | ||||
\(481\) | 1.49200e12 | + | 2.58422e12i | 1.27091 | + | 2.20129i | ||||
\(482\) | −1.57534e12 | −1.32942 | ||||||||
\(483\) | 2.49237e11 | 0.208377 | ||||||||
\(484\) | 2.34655e11 | + | 4.06435e11i | 0.194368 | + | 0.336656i | ||||
\(485\) | 7.18185e11 | + | 1.24393e12i | 0.589384 | + | 1.02084i | ||||
\(486\) | 9.01115e11 | 0.732685 | ||||||||
\(487\) | 2.13820e12 | 1.72253 | 0.861266 | − | 0.508155i | \(-0.169672\pi\) | ||||
0.861266 | + | 0.508155i | \(0.169672\pi\) | |||||||
\(488\) | 1.38317e11 | + | 2.39572e11i | 0.110405 | + | 0.191226i | ||||
\(489\) | −1.95991e11 | + | 3.39467e11i | −0.155006 | + | 0.268478i | ||||
\(490\) | −4.86117e11 | − | 8.41979e11i | −0.380942 | − | 0.659810i | ||||
\(491\) | −3.66997e11 | + | 6.35658e11i | −0.284968 | + | 0.493579i | −0.972601 | − | 0.232479i | \(-0.925316\pi\) |
0.687633 | + | 0.726058i | \(0.258650\pi\) | |||||||
\(492\) | 1.40801e11 | − | 2.43875e11i | 0.108334 | − | 0.187640i | ||||
\(493\) | −9.80453e11 | −0.747508 | ||||||||
\(494\) | −1.33177e12 | − | 1.95722e11i | −1.00614 | − | 0.147866i | ||||
\(495\) | −5.14252e11 | −0.384993 | ||||||||
\(496\) | −1.19059e11 | + | 2.06216e11i | −0.0883273 | + | 0.152987i | ||||
\(497\) | −8.36555e10 | + | 1.44896e11i | −0.0615022 | + | 0.106525i | ||||
\(498\) | −3.52986e11 | − | 6.11389e11i | −0.257173 | − | 0.445437i | ||||
\(499\) | 5.67108e10 | − | 9.82260e10i | 0.0409462 | − | 0.0709208i | −0.844826 | − | 0.535041i | \(-0.820296\pi\) |
0.885772 | + | 0.464120i | \(0.153629\pi\) | |||||||
\(500\) | 2.72830e11 | + | 4.72556e11i | 0.195221 | + | 0.338133i | ||||
\(501\) | 3.41445e11 | 0.242131 | ||||||||
\(502\) | 5.76715e11 | 0.405317 | ||||||||
\(503\) | 1.01627e12 | + | 1.76024e12i | 0.707872 | + | 1.22607i | 0.965645 | + | 0.259864i | \(0.0836778\pi\) |
−0.257774 | + | 0.966205i | \(0.582989\pi\) | |||||||
\(504\) | −4.54107e10 | − | 7.86536e10i | −0.0313488 | − | 0.0542977i | ||||
\(505\) | 1.94421e12 | 1.33025 | ||||||||
\(506\) | 7.62584e11 | 0.517143 | ||||||||
\(507\) | 4.27805e11 | + | 7.40980e11i | 0.287548 | + | 0.498047i | ||||
\(508\) | −7.28040e10 | + | 1.26100e11i | −0.0485030 | + | 0.0840096i | ||||
\(509\) | −1.10287e12 | − | 1.91022e12i | −0.728270 | − | 1.26140i | −0.957614 | − | 0.288055i | \(-0.906991\pi\) |
0.229344 | − | 0.973345i | \(-0.426342\pi\) | |||||||
\(510\) | 4.40930e11 | − | 7.63713e11i | 0.288605 | − | 0.499879i | ||||
\(511\) | 7.19672e10 | − | 1.24651e11i | 0.0466918 | − | 0.0808726i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −1.42878e12 | − | 2.09979e11i | −0.910832 | − | 0.133859i | ||||
\(514\) | 1.93469e12 | 1.22258 | ||||||||
\(515\) | 1.03757e12 | − | 1.79713e12i | 0.649959 | − | 1.12576i | ||||
\(516\) | 2.24880e11 | − | 3.89504e11i | 0.139646 | − | 0.241874i | ||||
\(517\) | 3.63244e11 | + | 6.29158e11i | 0.223610 | + | 0.387304i | ||||
\(518\) | 2.55661e11 | − | 4.42818e11i | 0.156020 | − | 0.270235i | ||||
\(519\) | −4.17559e11 | − | 7.23234e11i | −0.252618 | − | 0.437548i | ||||
\(520\) | 9.74187e11 | 0.584289 | ||||||||
\(521\) | 1.44731e12 | 0.860582 | 0.430291 | − | 0.902690i | \(-0.358411\pi\) | ||||
0.430291 | + | 0.902690i | \(0.358411\pi\) | |||||||
\(522\) | −2.41281e11 | − | 4.17911e11i | −0.142235 | − | 0.246358i | ||||
\(523\) | 6.31388e11 | + | 1.09360e12i | 0.369010 | + | 0.639145i | 0.989411 | − | 0.145140i | \(-0.0463633\pi\) |
−0.620401 | + | 0.784285i | \(0.713030\pi\) | |||||||
\(524\) | −1.16065e12 | −0.672531 | ||||||||
\(525\) | −7.49684e10 | −0.0430686 | ||||||||
\(526\) | 8.22192e11 | + | 1.42408e12i | 0.468314 | + | 0.811144i | ||||
\(527\) | 8.25601e11 | − | 1.42998e12i | 0.466254 | − | 0.807575i | ||||
\(528\) | 5.66859e10 | + | 9.81829e10i | 0.0317411 | + | 0.0549773i | ||||
\(529\) | −1.26409e12 | + | 2.18946e12i | −0.701821 | + | 1.21559i | ||||
\(530\) | 6.70302e11 | − | 1.16100e12i | 0.369002 | − | 0.639131i | ||||
\(531\) | −2.35910e12 | −1.28772 | ||||||||
\(532\) | 8.50579e10 | + | 2.14400e11i | 0.0460375 | + | 0.116044i | ||||
\(533\) | −2.15719e12 | −1.15775 | ||||||||
\(534\) | 3.48538e11 | − | 6.03685e11i | 0.185487 | − | 0.321273i | ||||
\(535\) | −5.47137e11 | + | 9.47668e11i | −0.288738 | + | 0.500109i | ||||
\(536\) | 2.16208e11 | + | 3.74483e11i | 0.113143 | + | 0.195970i | ||||
\(537\) | −1.11141e11 | + | 1.92501e11i | −0.0576751 | + | 0.0998963i | ||||
\(538\) | −7.34432e11 | − | 1.27207e12i | −0.377948 | − | 0.654625i | ||||
\(539\) | −8.66730e11 | −0.442318 | ||||||||
\(540\) | 1.04515e12 | 0.528941 | ||||||||
\(541\) | 6.06857e11 | + | 1.05111e12i | 0.304578 | + | 0.527545i | 0.977167 | − | 0.212471i | \(-0.0681511\pi\) |
−0.672589 | + | 0.740016i | \(0.734818\pi\) | |||||||
\(542\) | −1.01229e11 | − | 1.75333e11i | −0.0503856 | − | 0.0872703i | ||||
\(543\) | 1.27603e12 | 0.629888 | ||||||||
\(544\) | 4.76527e11 | 0.233288 | ||||||||
\(545\) | 1.07570e12 | + | 1.86317e12i | 0.522284 | + | 0.904623i | ||||
\(546\) | 1.41922e11 | − | 2.45816e11i | 0.0683413 | − | 0.118371i | ||||
\(547\) | −1.86550e12 | − | 3.23114e12i | −0.890948 | − | 1.54317i | −0.838740 | − | 0.544532i | \(-0.816707\pi\) |
−0.0522080 | − | 0.998636i | \(-0.516626\pi\) | |||||||
\(548\) | −3.12484e11 | + | 5.41238e11i | −0.148018 | + | 0.256375i | ||||
\(549\) | 4.72074e11 | − | 8.17656e11i | 0.221786 | − | 0.384145i | ||||
\(550\) | −2.29379e11 | −0.106886 | ||||||||
\(551\) | 4.51939e11 | + | 1.13917e12i | 0.208880 | + | 0.526512i | ||||
\(552\) | −6.43632e11 | −0.295061 | ||||||||
\(553\) | −7.96732e10 | + | 1.37998e11i | −0.0362284 | + | 0.0627494i | ||||
\(554\) | −6.38784e11 | + | 1.10641e12i | −0.288111 | + | 0.499023i | ||||
\(555\) | 1.22181e12 | + | 2.11623e12i | 0.546619 | + | 0.946772i | ||||
\(556\) | −4.94136e11 | + | 8.55869e11i | −0.219286 | + | 0.379814i | ||||
\(557\) | −1.95823e12 | − | 3.39176e12i | −0.862017 | − | 1.49306i | −0.869979 | − | 0.493088i | \(-0.835868\pi\) |
0.00796276 | − | 0.999968i | \(-0.497465\pi\) | |||||||
\(558\) | 8.12693e11 | 0.354873 | ||||||||
\(559\) | −3.44534e12 | −1.49238 | ||||||||
\(560\) | −8.34657e10 | − | 1.44567e11i | −0.0358643 | − | 0.0621187i | ||||
\(561\) | −3.93082e11 | − | 6.80837e11i | −0.167552 | − | 0.290209i | ||||
\(562\) | 1.91803e12 | 0.811041 | ||||||||
\(563\) | −1.15076e12 | −0.482722 | −0.241361 | − | 0.970435i | \(-0.577594\pi\) | ||||
−0.241361 | + | 0.970435i | \(0.577594\pi\) | |||||||
\(564\) | −3.06584e11 | − | 5.31019e11i | −0.127583 | − | 0.220981i | ||||
\(565\) | −1.47622e12 | + | 2.55689e12i | −0.609443 | + | 1.05559i | ||||
\(566\) | −1.35675e12 | − | 2.34996e12i | −0.555681 | − | 0.962468i | ||||
\(567\) | −6.59569e10 | + | 1.14241e11i | −0.0268001 | + | 0.0464192i | ||||
\(568\) | 2.16033e11 | − | 3.74181e11i | 0.0870869 | − | 0.150839i | ||||
\(569\) | −1.84423e12 | −0.737582 | −0.368791 | − | 0.929512i | \(-0.620228\pi\) | ||||
−0.368791 | + | 0.929512i | \(0.620228\pi\) | |||||||
\(570\) | −1.09059e12 | − | 1.60278e11i | −0.432739 | − | 0.0635969i | ||||
\(571\) | 3.23916e12 | 1.27518 | 0.637588 | − | 0.770377i | \(-0.279932\pi\) | ||||
0.637588 | + | 0.770377i | \(0.279932\pi\) | |||||||
\(572\) | 4.34236e11 | − | 7.52119e11i | 0.169607 | − | 0.293768i | ||||
\(573\) | 1.64551e11 | − | 2.85010e11i | 0.0637681 | − | 0.110450i | ||||
\(574\) | 1.84822e11 | + | 3.20121e11i | 0.0710640 | + | 0.123086i | ||||
\(575\) | 6.51113e11 | − | 1.12776e12i | 0.248400 | − | 0.430241i | ||||
\(576\) | 1.17269e11 | + | 2.03116e11i | 0.0443898 | + | 0.0768853i | ||||
\(577\) | −7.96551e11 | −0.299173 | −0.149587 | − | 0.988749i | \(-0.547794\pi\) | ||||
−0.149587 | + | 0.988749i | \(0.547794\pi\) | |||||||
\(578\) | −1.40701e12 | −0.524352 | ||||||||
\(579\) | −1.35479e11 | − | 2.34657e11i | −0.0500979 | − | 0.0867721i | ||||
\(580\) | −4.43479e11 | − | 7.68129e11i | −0.162722 | − | 0.281844i | ||||
\(581\) | 9.26688e11 | 0.337397 | ||||||||
\(582\) | −1.08076e12 | −0.390460 | ||||||||
\(583\) | −5.97563e11 | − | 1.03501e12i | −0.214227 | − | 0.371053i | ||||
\(584\) | −1.85849e11 | + | 3.21900e11i | −0.0661155 | + | 0.114515i | ||||
\(585\) | −1.66244e12 | − | 2.87943e12i | −0.586874 | − | 1.01650i | ||||
\(586\) | −1.16359e12 | + | 2.01540e12i | −0.407625 | + | 0.706028i | ||||
\(587\) | 8.11180e11 | − | 1.40501e12i | 0.281998 | − | 0.488435i | −0.689879 | − | 0.723925i | \(-0.742336\pi\) |
0.971877 | + | 0.235490i | \(0.0756695\pi\) | |||||||
\(588\) | 7.31534e11 | 0.252369 | ||||||||
\(589\) | −2.04204e12 | − | 3.00105e11i | −0.699109 | − | 0.102743i | ||||
\(590\) | −4.33607e12 | −1.47320 | ||||||||
\(591\) | 5.25882e11 | − | 9.10855e11i | 0.177315 | − | 0.307118i | ||||
\(592\) | −6.60223e11 | + | 1.14354e12i | −0.220924 | + | 0.382652i | ||||
\(593\) | 1.80752e12 | + | 3.13072e12i | 0.600257 | + | 1.03968i | 0.992782 | + | 0.119935i | \(0.0382685\pi\) |
−0.392524 | + | 0.919742i | \(0.628398\pi\) | |||||||
\(594\) | 4.65868e11 | − | 8.06907e11i | 0.153541 | − | 0.265940i | ||||
\(595\) | 5.78783e11 | + | 1.00248e12i | 0.189317 | + | 0.327906i | ||||
\(596\) | −9.85565e11 | −0.319946 | ||||||||
\(597\) | −2.98584e12 | −0.962016 | ||||||||
\(598\) | 2.46524e12 | + | 4.26991e12i | 0.788321 | + | 1.36541i | ||||
\(599\) | 1.28900e12 | + | 2.23261e12i | 0.409102 | + | 0.708585i | 0.994789 | − | 0.101952i | \(-0.0325088\pi\) |
−0.585688 | + | 0.810537i | \(0.699175\pi\) | |||||||
\(600\) | 1.93599e11 | 0.0609851 | ||||||||
\(601\) | 3.40980e12 | 1.06609 | 0.533044 | − | 0.846087i | \(-0.321048\pi\) | ||||
0.533044 | + | 0.846087i | \(0.321048\pi\) | |||||||
\(602\) | 2.95187e11 | + | 5.11279e11i | 0.0916038 | + | 0.158662i | ||||
\(603\) | 7.37913e11 | − | 1.27810e12i | 0.227288 | − | 0.393675i | ||||
\(604\) | −1.20331e11 | − | 2.08420e11i | −0.0367885 | − | 0.0637195i | ||||
\(605\) | 1.47202e12 | − | 2.54962e12i | 0.446699 | − | 0.773706i | ||||
\(606\) | −7.31438e11 | + | 1.26689e12i | −0.220318 | + | 0.381603i | ||||
\(607\) | −3.99979e12 | −1.19588 | −0.597941 | − | 0.801540i | \(-0.704014\pi\) | ||||
−0.597941 | + | 0.801540i | \(0.704014\pi\) | |||||||
\(608\) | −2.19655e11 | − | 5.53670e11i | −0.0651890 | − | 0.164318i | ||||
\(609\) | −2.58429e11 | −0.0761313 | ||||||||
\(610\) | 8.67682e11 | − | 1.50287e12i | 0.253733 | − | 0.439478i | ||||
\(611\) | −2.34855e12 | + | 4.06781e12i | −0.681733 | + | 1.18080i | ||||
\(612\) | −8.13189e11 | − | 1.40848e12i | −0.234320 | − | 0.405855i | ||||
\(613\) | 2.69935e12 | − | 4.67540e12i | 0.772123 | − | 1.33736i | −0.164275 | − | 0.986415i | \(-0.552528\pi\) |
0.936397 | − | 0.350941i | \(-0.114138\pi\) | |||||||
\(614\) | 6.70686e11 | + | 1.16166e12i | 0.190442 | + | 0.329854i | ||||
\(615\) | −1.76653e12 | −0.497947 | ||||||||
\(616\) | −1.48817e11 | −0.0416426 | ||||||||
\(617\) | 1.26035e12 | + | 2.18299e12i | 0.350113 | + | 0.606414i | 0.986269 | − | 0.165147i | \(-0.0528097\pi\) |
−0.636156 | + | 0.771561i | \(0.719476\pi\) | |||||||
\(618\) | 7.80696e11 | + | 1.35220e12i | 0.215295 | + | 0.372902i | ||||
\(619\) | 1.53209e12 | 0.419447 | 0.209723 | − | 0.977761i | \(-0.432744\pi\) | ||||
0.209723 | + | 0.977761i | \(0.432744\pi\) | |||||||
\(620\) | 1.49375e12 | 0.405989 | ||||||||
\(621\) | 2.64482e12 | + | 4.58095e12i | 0.713646 | + | 1.23607i | ||||
\(622\) | −5.79552e11 | + | 1.00381e12i | −0.155251 | + | 0.268903i | ||||
\(623\) | 4.57505e11 | + | 7.92422e11i | 0.121674 | + | 0.210746i | ||||
\(624\) | −3.66502e11 | + | 6.34800e11i | −0.0967710 | + | 0.167612i | ||||
\(625\) | 2.32269e12 | − | 4.02302e12i | 0.608879 | − | 1.05461i | ||||
\(626\) | −4.37141e11 | −0.113772 | ||||||||
\(627\) | −6.09865e11 | + | 7.70548e11i | −0.157590 | + | 0.199111i | ||||
\(628\) | −2.83529e12 | −0.727409 | ||||||||
\(629\) | 4.57824e12 | − | 7.92974e12i | 1.16619 | − | 2.01991i | ||||
\(630\) | −2.84867e11 | + | 4.93404e11i | −0.0720460 | + | 0.124787i | ||||
\(631\) | 2.01758e12 | + | 3.49454e12i | 0.506638 | + | 0.877522i | 0.999970 | + | 0.00768172i | \(0.00244519\pi\) |
−0.493333 | + | 0.869841i | \(0.664221\pi\) | |||||||
\(632\) | 2.05749e11 | − | 3.56368e11i | 0.0512993 | − | 0.0888530i | ||||
\(633\) | 6.72356e11 | + | 1.16455e12i | 0.166449 | + | 0.288299i | ||||
\(634\) | 2.89851e12 | 0.712481 | ||||||||
\(635\) | 9.13417e11 | 0.222940 | ||||||||
\(636\) | 5.04352e11 | + | 8.73564e11i | 0.122230 | + | 0.211708i | ||||
\(637\) | −2.80191e12 | − | 4.85306e12i | −0.674260 | − | 1.16785i | ||||
\(638\) | −7.90709e11 | −0.188940 | ||||||||
\(639\) | −1.47464e12 | −0.349889 | ||||||||
\(640\) | 2.15543e11 | + | 3.73332e11i | 0.0507837 | + | 0.0879599i | ||||
\(641\) | −2.55035e12 | + | 4.41734e12i | −0.596677 | + | 1.03347i | 0.396631 | + | 0.917978i | \(0.370179\pi\) |
−0.993308 | + | 0.115497i | \(0.963154\pi\) | |||||||
\(642\) | −4.11680e11 | − | 7.13050e11i | −0.0956427 | − | 0.165658i | ||||
\(643\) | 4.20771e12 | − | 7.28797e12i | 0.970726 | − | 1.68135i | 0.277353 | − | 0.960768i | \(-0.410543\pi\) |
0.693373 | − | 0.720578i | \(-0.256124\pi\) | |||||||
\(644\) | 4.22429e11 | − | 7.31669e11i | 0.0967760 | − | 0.167621i | ||||
\(645\) | −2.82141e12 | −0.641870 | ||||||||
\(646\) | 1.52317e12 | + | 3.83936e12i | 0.344114 | + | 0.867386i | ||||
\(647\) | −4.62557e12 | −1.03776 | −0.518879 | − | 0.854847i | \(-0.673651\pi\) | ||||
−0.518879 | + | 0.854847i | \(0.673651\pi\) | |||||||
\(648\) | 1.70328e11 | − | 2.95017e11i | 0.0379489 | − | 0.0657294i | ||||
\(649\) | −1.93277e12 | + | 3.34765e12i | −0.427640 | + | 0.740694i | ||||
\(650\) | −7.41523e11 | − | 1.28436e12i | −0.162935 | − | 0.282212i | ||||
\(651\) | 2.17613e11 | − | 3.76916e11i | 0.0474865 | − | 0.0822490i | ||||
\(652\) | 6.64369e11 | + | 1.15072e12i | 0.143978 | + | 0.249377i | ||||
\(653\) | 5.43811e12 | 1.17041 | 0.585206 | − | 0.810884i | \(-0.301014\pi\) | ||||
0.585206 | + | 0.810884i | \(0.301014\pi\) | |||||||
\(654\) | −1.61877e12 | −0.346007 | ||||||||
\(655\) | 3.64047e12 | + | 6.30548e12i | 0.772808 | + | 1.33854i | ||||
\(656\) | −4.77287e11 | − | 8.26685e11i | −0.100626 | − | 0.174290i | ||||
\(657\) | 1.26860e12 | 0.265632 | ||||||||
\(658\) | 8.04869e11 | 0.167382 | ||||||||
\(659\) | −1.23441e12 | − | 2.13806e12i | −0.254961 | − | 0.441606i | 0.709924 | − | 0.704279i | \(-0.248729\pi\) |
−0.964885 | + | 0.262673i | \(0.915396\pi\) | |||||||
\(660\) | 3.55598e11 | − | 6.15914e11i | 0.0729477 | − | 0.126349i | ||||
\(661\) | 2.02507e12 | + | 3.50753e12i | 0.412605 | + | 0.714653i | 0.995174 | − | 0.0981287i | \(-0.0312857\pi\) |
−0.582569 | + | 0.812781i | \(0.697952\pi\) | |||||||
\(662\) | −2.12226e12 | + | 3.67586e12i | −0.429474 | + | 0.743872i | ||||
\(663\) | 2.54146e12 | − | 4.40194e12i | 0.510826 | − | 0.884776i | ||||
\(664\) | −2.39309e12 | −0.477753 | ||||||||
\(665\) | 8.97980e11 | − | 1.13457e12i | 0.178061 | − | 0.224975i | ||||
\(666\) | 4.50666e12 | 0.887607 | ||||||||
\(667\) | 2.24450e12 | − | 3.88759e12i | 0.439090 | − | 0.760525i | ||||
\(668\) | 5.78713e11 | − | 1.00236e12i | 0.112452 | − | 0.194773i | ||||
\(669\) | 8.26790e11 | + | 1.43204e12i | 0.159580 | + | 0.276400i | ||||
\(670\) | 1.35630e12 | − | 2.34918e12i | 0.260027 | − | 0.450380i | ||||
\(671\) | −7.73524e11 | − | 1.33978e12i | −0.147307 | − | 0.255143i | ||||
\(672\) | 1.25603e11 | 0.0237596 | ||||||||
\(673\) | 1.40960e12 | 0.264867 | 0.132434 | − | 0.991192i | \(-0.457721\pi\) | ||||
0.132434 | + | 0.991192i | \(0.457721\pi\) | |||||||
\(674\) | 5.75979e11 | + | 9.97626e11i | 0.107507 | + | 0.186208i | ||||
\(675\) | −7.95539e11 | − | 1.37791e12i | −0.147501 | − | 0.255479i | ||||
\(676\) | 2.90033e12 | 0.534180 | ||||||||
\(677\) | 3.98192e12 | 0.728524 | 0.364262 | − | 0.931296i | \(-0.381321\pi\) | ||||
0.364262 | + | 0.931296i | \(0.381321\pi\) | |||||||
\(678\) | −1.11075e12 | − | 1.92387e12i | −0.201874 | − | 0.349657i | ||||
\(679\) | 7.09326e11 | − | 1.22859e12i | 0.128065 | − | 0.221816i | ||||
\(680\) | −1.49466e12 | − | 2.58882e12i | −0.268072 | − | 0.464315i | ||||
\(681\) | −2.74970e12 | + | 4.76263e12i | −0.489919 | + | 0.848564i | ||||
\(682\) | 6.65825e11 | − | 1.15324e12i | 0.117850 | − | 0.204123i | ||||
\(683\) | −3.21673e11 | −0.0565615 | −0.0282808 | − | 0.999600i | \(-0.509003\pi\) | ||||
−0.0282808 | + | 0.999600i | \(0.509003\pi\) | |||||||
\(684\) | −1.26166e12 | + | 1.59407e12i | −0.220389 | + | 0.278456i | ||||
\(685\) | 3.92051e12 | 0.680353 | ||||||||
\(686\) | −9.92163e11 | + | 1.71848e12i | −0.171051 | + | 0.296268i | ||||
\(687\) | 1.53476e12 | − | 2.65829e12i | 0.262867 | − | 0.455299i | ||||
\(688\) | −7.62296e11 | − | 1.32034e12i | −0.129711 | − | 0.224665i | ||||
\(689\) | 3.86353e12 | − | 6.69183e12i | 0.653127 | − | 1.13125i | ||||
\(690\) | 2.01880e12 | + | 3.49666e12i | 0.339056 | + | 0.587262i | ||||
\(691\) | −1.14733e13 | −1.91442 | −0.957211 | − | 0.289392i | \(-0.906547\pi\) | ||||
−0.957211 | + | 0.289392i | \(0.906547\pi\) | |||||||
\(692\) | −2.83087e12 | −0.469291 | ||||||||
\(693\) | 2.53954e11 | + | 4.39862e11i | 0.0418269 | + | 0.0724463i | ||||
\(694\) | −1.35287e12 | − | 2.34324e12i | −0.221380 | − | 0.383441i | ||||
\(695\) | 6.19956e12 | 1.00793 | ||||||||
\(696\) | 6.67370e11 | 0.107802 | ||||||||
\(697\) | 3.30969e12 | + | 5.73255e12i | 0.531177 | + | 0.920026i | ||||
\(698\) | −4.08599e12 | + | 7.07714e12i | −0.651550 | + | 1.12852i | ||||
\(699\) | 1.55340e11 | + | 2.69057e11i | 0.0246114 | + | 0.0426282i | ||||
\(700\) | −1.27063e11 | + | 2.20080e11i | −0.0200023 | + | 0.0346449i | ||||
\(701\) | −1.61926e12 | + | 2.80464e12i | −0.253271 | + | 0.438678i | −0.964424 | − | 0.264359i | \(-0.914840\pi\) |
0.711154 | + | 0.703037i | \(0.248173\pi\) | |||||||
\(702\) | 6.02412e12 | 0.936217 | ||||||||
\(703\) | −1.13238e13 | − | 1.66418e12i | −1.74861 | − | 0.256982i | ||||
\(704\) | 3.84306e11 | 0.0589658 | ||||||||
\(705\) | −1.92324e12 | + | 3.33115e12i | −0.293213 | + | 0.507859i | ||||
\(706\) | 2.20895e12 | − | 3.82601e12i | 0.334630 | − | 0.579596i | ||||
\(707\) | −9.60116e11 | − | 1.66297e12i | −0.144523 | − | 0.250321i | ||||
\(708\) | 1.63128e12 | − | 2.82547e12i | 0.243995 | − | 0.422611i | ||||
\(709\) | −4.62052e12 | − | 8.00298e12i | −0.686725 | − | 1.18944i | −0.972891 | − | 0.231263i | \(-0.925714\pi\) |
0.286166 | − | 0.958180i | \(-0.407619\pi\) | |||||||
\(710\) | −2.71041e12 | −0.400288 | ||||||||
\(711\) | −1.40444e12 | −0.206105 | ||||||||
\(712\) | −1.18147e12 | − | 2.04636e12i | −0.172291 | − | 0.298416i | ||||
\(713\) | 3.78001e12 | + | 6.54717e12i | 0.547759 | + | 0.948747i | ||||
\(714\) | −8.70982e11 | −0.125420 | ||||||||
\(715\) | −5.44804e12 | −0.779584 | ||||||||
\(716\) | 3.76743e11 | + | 6.52538e11i | 0.0535718 | + | 0.0927891i | ||||
\(717\) | 2.14629e12 | − | 3.71748e12i | 0.303286 | − | 0.525306i | ||||
\(718\) | −3.43584e12 | − | 5.95105e12i | −0.482473 | − | 0.835667i | ||||
\(719\) | −2.35892e12 | + | 4.08576e12i | −0.329179 | + | 0.570155i | −0.982349 | − | 0.187056i | \(-0.940105\pi\) |
0.653170 | + | 0.757211i | \(0.273439\pi\) | |||||||
\(720\) | 7.35645e11 | − | 1.27417e12i | 0.102017 | − | 0.176698i | ||||
\(721\) | −2.04955e12 | −0.282455 | ||||||||
\(722\) | 3.75880e12 | − | 3.53950e12i | 0.514791 | − | 0.484757i | ||||
\(723\) | −7.43572e12 | −1.01205 | ||||||||
\(724\) | 2.16274e12 | − | 3.74598e12i | 0.292537 | − | 0.506689i | ||||
\(725\) | −6.75127e11 | + | 1.16935e12i | −0.0907537 | + | 0.157190i | ||||
\(726\) | 1.10759e12 | + | 1.91840e12i | 0.147966 | + | 0.256285i | ||||
\(727\) | −6.92532e12 | + | 1.19950e13i | −0.919465 | + | 1.59256i | −0.119235 | + | 0.992866i | \(0.538044\pi\) |
−0.800230 | + | 0.599693i | \(0.795289\pi\) | |||||||
\(728\) | −4.81085e11 | − | 8.33264e11i | −0.0634791 | − | 0.109949i | ||||
\(729\) | 2.61632e12 | 0.343097 | ||||||||
\(730\) | 2.33171e12 | 0.303894 | ||||||||
\(731\) | 5.28605e12 | + | 9.15571e12i | 0.684704 | + | 1.18594i | ||||
\(732\) | 6.52866e11 | + | 1.13080e12i | 0.0840473 | + | 0.145574i | ||||
\(733\) | −5.05292e12 | −0.646509 | −0.323255 | − | 0.946312i | \(-0.604777\pi\) | ||||
−0.323255 | + | 0.946312i | \(0.604777\pi\) | |||||||
\(734\) | −1.63551e12 | −0.207980 | ||||||||
\(735\) | −2.29450e12 | − | 3.97420e12i | −0.289998 | − | 0.502292i | ||||
\(736\) | −1.09089e12 | + | 1.88947e12i | −0.137034 | + | 0.237351i | ||||
\(737\) | −1.20912e12 | − | 2.09425e12i | −0.150961 | − | 0.261472i | ||||
\(738\) | −1.62897e12 | + | 2.82146e12i | −0.202143 | + | 0.350123i | ||||
\(739\) | −4.00121e12 | + | 6.93031e12i | −0.493505 | + | 0.854776i | −0.999972 | − | 0.00748316i | \(-0.997618\pi\) |
0.506467 | + | 0.862260i | \(0.330951\pi\) | |||||||
\(740\) | 8.28333e12 | 1.01546 | ||||||||
\(741\) | −6.28604e12 | − | 9.23818e11i | −0.765941 | − | 0.112565i | ||||
\(742\) | −1.32407e12 | −0.160359 | ||||||||
\(743\) | 2.59945e12 | − | 4.50237e12i | 0.312918 | − | 0.541990i | −0.666074 | − | 0.745885i | \(-0.732027\pi\) |
0.978993 | + | 0.203895i | \(0.0653600\pi\) | |||||||
\(744\) | −5.61966e11 | + | 9.73354e11i | −0.0672407 | + | 0.116464i | ||||
\(745\) | 3.09129e12 | + | 5.35427e12i | 0.367652 | + | 0.636791i | ||||
\(746\) | −1.10665e12 | + | 1.91678e12i | −0.130824 | + | 0.226594i | ||||
\(747\) | 4.08379e12 | + | 7.07333e12i | 0.479867 | + | 0.831154i | ||||
\(748\) | −2.66492e12 | −0.311263 | ||||||||
\(749\) | 1.08078e12 | 0.125478 | ||||||||
\(750\) | 1.28778e12 | + | 2.23049e12i | 0.148616 | + | 0.257410i | ||||
\(751\) | 8.15931e11 | + | 1.41323e12i | 0.0935996 | + | 0.162119i | 0.909023 | − | 0.416745i | \(-0.136829\pi\) |
−0.815424 | + | 0.578865i | \(0.803496\pi\) | |||||||
\(752\) | −2.07851e12 | −0.237012 | ||||||||
\(753\) | 2.72213e12 | 0.308554 | ||||||||
\(754\) | −2.55616e12 | − | 4.42739e12i | −0.288016 | − | 0.498858i | ||||
\(755\) | −7.54853e11 | + | 1.30744e12i | −0.0845476 | + | 0.146441i | ||||
\(756\) | −5.16130e11 | − | 8.93963e11i | −0.0574660 | − | 0.0995340i | ||||
\(757\) | 4.10515e12 | − | 7.11033e12i | 0.454357 | − | 0.786970i | −0.544294 | − | 0.838895i | \(-0.683202\pi\) |
0.998651 | + | 0.0519247i | \(0.0165356\pi\) | |||||||
\(758\) | 4.43307e12 | − | 7.67830e12i | 0.487745 | − | 0.844799i | ||||
\(759\) | 3.59944e12 | 0.393684 | ||||||||
\(760\) | −2.31896e12 | + | 2.92994e12i | −0.252134 | + | 0.318565i | ||||
\(761\) | 7.46928e12 | 0.807324 | 0.403662 | − | 0.914908i | \(-0.367737\pi\) | ||||
0.403662 | + | 0.914908i | \(0.367737\pi\) | |||||||
\(762\) | −3.43639e11 | + | 5.95201e11i | −0.0369237 | + | 0.0639538i | ||||
\(763\) | 1.06243e12 | − | 1.84018e12i | 0.113485 | − | 0.196563i | ||||
\(764\) | −5.57791e11 | − | 9.66122e11i | −0.0592313 | − | 0.102592i | ||||
\(765\) | −5.10124e12 | + | 8.83561e12i | −0.538517 | + | 0.932739i | ||||
\(766\) | −1.79873e12 | − | 3.11549e12i | −0.188771 | − | 0.326962i | ||||
\(767\) | −2.49925e13 | −2.60754 | ||||||||
\(768\) | −3.24360e11 | −0.0336436 | ||||||||
\(769\) | −4.05438e12 | − | 7.02239e12i | −0.418076 | − | 0.724129i | 0.577670 | − | 0.816271i | \(-0.303962\pi\) |
−0.995746 | + | 0.0921413i | \(0.970629\pi\) | |||||||
\(770\) | 4.66773e11 | + | 8.08474e11i | 0.0478517 | + | 0.0828816i | ||||
\(771\) | 9.13185e12 | 0.930709 | ||||||||
\(772\) | −9.18491e11 | −0.0930673 | ||||||||
\(773\) | −7.42005e12 | − | 1.28519e13i | −0.747480 | − | 1.29467i | −0.949027 | − | 0.315194i | \(-0.897930\pi\) |
0.201548 | − | 0.979479i | \(-0.435403\pi\) | |||||||
\(774\) | −2.60170e12 | + | 4.50628e12i | −0.260569 | + | 0.451319i | ||||
\(775\) | −1.13700e12 | − | 1.96933e12i | −0.113214 | − | 0.196093i | ||||
\(776\) | −1.83177e12 | + | 3.17272e12i | −0.181340 | + | 0.314090i | ||||
\(777\) | 1.20674e12 | − | 2.09013e12i | 0.118773 | − | 0.205721i | ||||
\(778\) | 4.32430e12 | 0.423163 | ||||||||
\(779\) | 5.13497e12 | − | 6.48789e12i | 0.499596 | − | 0.631226i | ||||
\(780\) | 4.59823e12 | 0.444800 | ||||||||
\(781\) | −1.20814e12 | + | 2.09256e12i | −0.116195 | + | 0.201256i | ||||
\(782\) | 7.56463e12 | − | 1.31023e13i | 0.723365 | − | 1.25290i | ||||
\(783\) | −2.74236e12 | − | 4.74991e12i | −0.260733 | − | 0.451603i | ||||
\(784\) | 1.23987e12 | − | 2.14752e12i | 0.117207 | − | 0.203009i | ||||
\(785\) | 8.89306e12 | + | 1.54032e13i | 0.835868 | + | 1.44777i | ||||
\(786\) | −5.47836e12 | −0.511976 | ||||||||
\(787\) | −1.44374e13 | −1.34154 | −0.670770 | − | 0.741666i | \(-0.734036\pi\) | ||||
−0.670770 | + | 0.741666i | \(0.734036\pi\) | |||||||
\(788\) | −1.78263e12 | − | 3.08760e12i | −0.164700 | − | 0.285268i | ||||
\(789\) | 3.88080e12 | + | 6.72174e12i | 0.356512 | + | 0.617497i | ||||
\(790\) | −2.58138e12 | −0.235793 | ||||||||
\(791\) | 2.91602e12 | 0.264848 | ||||||||
\(792\) | −6.55815e11 | − | 1.13591e12i | −0.0592268 | − | 0.102584i | ||||
\(793\) | 5.00120e12 | − | 8.66233e12i | 0.449102 | − | 0.777867i | ||||
\(794\) | −2.47015e12 | − | 4.27843e12i | −0.220562 | − | 0.382025i | ||||
\(795\) | 3.16387e12 | − | 5.47998e12i | 0.280909 | − | 0.486549i | ||||
\(796\) | −5.06068e12 | + | 8.76535e12i | −0.446786 | + | 0.773857i | ||||
\(797\) | −1.68486e13 | −1.47911 | −0.739557 | − | 0.673094i | \(-0.764965\pi\) | ||||
−0.739557 | + | 0.673094i | \(0.764965\pi\) | |||||||
\(798\) | 4.01479e11 | + | 1.01198e12i | 0.0350469 | + | 0.0883405i | ||||
\(799\) | 1.44132e13 | 1.25112 | ||||||||
\(800\) | 3.28130e11 | − | 5.68338e11i | 0.0283231 | − | 0.0490571i | ||||
\(801\) | −4.03233e12 | + | 6.98420e12i | −0.346106 | + | 0.599474i | ||||
\(802\) | −6.27533e12 | − | 1.08692e13i | −0.535614 | − | 0.927710i | ||||
\(803\) | 1.03934e12 | − | 1.80019e12i | 0.0882142 | − | 0.152791i | ||||
\(804\) | 1.02051e12 | + | 1.76758e12i | 0.0861324 | + | 0.149186i | ||||
\(805\) | −5.29991e12 | −0.444823 | ||||||||
\(806\) | 8.60976e12 | 0.718593 | ||||||||
\(807\) | −3.46657e12 | − | 6.00427e12i | −0.287719 | − | 0.498344i | ||||
\(808\) | 2.47942e12 | + | 4.29448e12i | 0.204644 | + | 0.354454i | ||||
\(809\) | 2.38409e13 | 1.95684 | 0.978419 | − | 0.206633i | \(-0.0662505\pi\) | ||||
0.978419 | + | 0.206633i | \(0.0662505\pi\) | |||||||
\(810\) | −2.13698e12 | −0.174429 | ||||||||
\(811\) | 4.31468e12 | + | 7.47325e12i | 0.350231 | + | 0.606619i | 0.986290 | − | 0.165022i | \(-0.0527696\pi\) |
−0.636058 | + | 0.771641i | \(0.719436\pi\) | |||||||
\(812\) | −4.38009e11 | + | 7.58654e11i | −0.0353574 | + | 0.0612409i | ||||
\(813\) | −4.77805e11 | − | 8.27583e11i | −0.0383569 | − | 0.0664361i | ||||
\(814\) | 3.69223e12 | − | 6.39512e12i | 0.294767 | − | 0.510551i | ||||
\(815\) | 4.16767e12 | − | 7.21862e12i | 0.330891 | − | 0.573119i | ||||
\(816\) | 2.24924e12 | 0.177595 | ||||||||
\(817\) | 8.20129e12 | − | 1.03621e13i | 0.643996 | − | 0.813671i | ||||
\(818\) | −1.56263e12 | −0.122030 | ||||||||
\(819\) | −1.64194e12 | + | 2.84392e12i | −0.127520 | + | 0.220871i | ||||
\(820\) | −2.99408e12 | + | 5.18590e12i | −0.231260 | + | 0.400555i | ||||
\(821\) | 9.07982e12 | + | 1.57267e13i | 0.697482 | + | 1.20807i | 0.969337 | + | 0.245736i | \(0.0790297\pi\) |
−0.271855 | + | 0.962338i | \(0.587637\pi\) | |||||||
\(822\) | −1.47494e12 | + | 2.55468e12i | −0.112681 | + | 0.195170i | ||||
\(823\) | 7.84478e12 | + | 1.35876e13i | 0.596048 | + | 1.03239i | 0.993398 | + | 0.114719i | \(0.0365966\pi\) |
−0.397350 | + | 0.917667i | \(0.630070\pi\) | |||||||
\(824\) | 5.29278e12 | 0.399955 | ||||||||
\(825\) | −1.08268e12 | −0.0813690 | ||||||||
\(826\) | 2.14129e12 | + | 3.70883e12i | 0.160054 | + | 0.277221i | ||||
\(827\) | −1.20367e13 | − | 2.08482e13i | −0.894816 | − | 1.54987i | −0.834032 | − | 0.551715i | \(-0.813973\pi\) |
−0.0607833 | − | 0.998151i | \(-0.519360\pi\) | |||||||
\(828\) | 7.44636e12 | 0.550564 | ||||||||
\(829\) | 5.84860e12 | 0.430087 | 0.215044 | − | 0.976604i | \(-0.431011\pi\) | ||||
0.215044 | + | 0.976604i | \(0.431011\pi\) | |||||||
\(830\) | 7.50609e12 | + | 1.30009e13i | 0.548987 | + | 0.950874i | ||||
\(831\) | −3.01510e12 | + | 5.22231e12i | −0.219330 | + | 0.379890i | ||||
\(832\) | 1.24236e12 | + | 2.15183e12i | 0.0898862 | + | 0.155688i | ||||
\(833\) | −8.59774e12 | + | 1.48917e13i | −0.618702 | + | 1.07162i | ||||
\(834\) | −2.33235e12 | + | 4.03976e12i | −0.166935 | + | 0.289140i | ||||
\(835\) | −7.26068e12 | −0.516878 | ||||||||
\(836\) | 1.22840e12 | + | 3.09634e12i | 0.0869781 | + | 0.219240i | ||||
\(837\) | 9.23693e12 | 0.650524 | ||||||||
\(838\) | 3.88901e12 | − | 6.73597e12i | 0.272422 | − | 0.471848i | ||||
\(839\) | −1.08529e12 | + | 1.87978e12i | −0.0756167 | + | 0.130972i | −0.901354 | − | 0.433082i | \(-0.857426\pi\) |
0.825738 | + | 0.564054i | \(0.190759\pi\) | |||||||
\(840\) | −3.93963e11 | − | 6.82365e11i | −0.0273023 | − | 0.0472890i | ||||
\(841\) | 4.92629e12 | − | 8.53259e12i | 0.339577 | − | 0.588165i | ||||
\(842\) | 6.94523e12 | + | 1.20295e13i | 0.476192 | + | 0.824788i | ||||
\(843\) | 9.05324e12 | 0.617419 | ||||||||
\(844\) | 4.55828e12 | 0.309215 | ||||||||
\(845\) | −9.09709e12 | − | 1.57566e13i | −0.613829 | − | 1.06318i | ||||
\(846\) | 3.54695e12 | + | 6.14350e12i | 0.238061 | + | 0.412334i | ||||
\(847\) | −2.90773e12 | −0.194124 | ||||||||
\(848\) | 3.41929e12 | 0.227067 | ||||||||
\(849\) | −6.40394e12 | − | 1.10919e13i | −0.423022 | − | 0.732695i | ||||
\(850\) | −2.27538e12 | + | 3.94107e12i | −0.149509 | + | 0.258958i | ||||
\(851\) | 2.09614e13 | + | 3.63063e13i | 1.37005 | + | 2.37300i | ||||
\(852\) | 1.01969e12 | − | 1.76616e12i | 0.0662964 | − | 0.114829i | ||||
\(853\) | 9.43272e12 | − | 1.63380e13i | 0.610052 | − | 1.05664i | −0.381180 | − | 0.924501i | \(-0.624482\pi\) |
0.991231 | − | 0.132139i | \(-0.0421846\pi\) | |||||||
\(854\) | −1.71396e12 | −0.110265 | ||||||||
\(855\) | 1.26174e13 | + | 1.85430e12i | 0.807462 | + | 0.118667i | ||||
\(856\) | −2.79101e12 | −0.177676 | ||||||||
\(857\) | −2.05944e12 | + | 3.56706e12i | −0.130418 | + | 0.225890i | −0.923838 | − | 0.382785i | \(-0.874965\pi\) |
0.793420 | + | 0.608675i | \(0.208298\pi\) | |||||||
\(858\) | 2.04962e12 | − | 3.55005e12i | 0.129116 | − | 0.223636i | ||||
\(859\) | −1.19630e13 | − | 2.07205e13i | −0.749670 | − | 1.29847i | −0.947981 | − | 0.318327i | \(-0.896879\pi\) |
0.198312 | − | 0.980139i | \(-0.436454\pi\) | |||||||
\(860\) | −4.78198e12 | + | 8.28264e12i | −0.298102 | + | 0.516328i | ||||
\(861\) | 8.72371e11 | + | 1.51099e12i | 0.0540987 | + | 0.0937017i | ||||
\(862\) | −2.19161e12 | −0.135201 | ||||||||
\(863\) | 1.91137e13 | 1.17300 | 0.586498 | − | 0.809951i | \(-0.300506\pi\) | ||||
0.586498 | + | 0.809951i | \(0.300506\pi\) | |||||||
\(864\) | 1.33286e12 | + | 2.30858e12i | 0.0813717 | + | 0.140940i | ||||
\(865\) | 8.87921e12 | + | 1.53792e13i | 0.539265 | + | 0.934034i | ||||
\(866\) | −1.32897e13 | −0.802943 | ||||||||
\(867\) | −6.64119e12 | −0.399172 | ||||||||
\(868\) | −7.37660e11 | − | 1.27767e12i | −0.0441080 | − | 0.0763974i | ||||
\(869\) | −1.15063e12 | + | 1.99295e12i | −0.0684458 | + | 0.118552i | ||||
\(870\) | −2.09325e12 | − | 3.62562e12i | −0.123875 | − | 0.214558i | ||||
\(871\) | 7.81752e12 | − | 1.35403e13i | 0.460243 | − | 0.797165i | ||||
\(872\) | −2.74364e12 | + | 4.75212e12i | −0.160695 | + | 0.278332i | ||||
\(873\) | 1.25036e13 | 0.728571 | ||||||||
\(874\) | −1.87103e13 | − | 2.74973e12i | −1.08463 | − | 0.159400i | ||||
\(875\) | −3.38077e12 | −0.194975 | ||||||||
\(876\) | −8.77220e11 | + | 1.51939e12i | −0.0503315 | + | 0.0871768i | ||||
\(877\) | −1.82098e12 | + | 3.15402e12i | −0.103946 | + | 0.180039i | −0.913307 | − | 0.407272i | \(-0.866480\pi\) |
0.809361 | + | 0.587311i | \(0.199813\pi\) | |||||||
\(878\) | −7.17036e12 | − | 1.24194e13i | −0.407208 | − | 0.705304i | ||||
\(879\) | −5.49222e12 | + | 9.51281e12i | −0.310312 | + | 0.537476i | ||||
\(880\) | −1.20540e12 | − | 2.08782e12i | −0.0677579 | − | 0.117360i | ||||
\(881\) | 5.33441e12 | 0.298329 | 0.149164 | − | 0.988812i | \(-0.452342\pi\) | ||||
0.149164 | + | 0.988812i | \(0.452342\pi\) | |||||||
\(882\) | −8.46332e12 | −0.470903 | ||||||||
\(883\) | −6.05613e12 | − | 1.04895e13i | −0.335252 | − | 0.580674i | 0.648281 | − | 0.761401i | \(-0.275488\pi\) |
−0.983533 | + | 0.180727i | \(0.942155\pi\) | |||||||
\(884\) | −8.61501e12 | − | 1.49216e13i | −0.474483 | − | 0.821828i | ||||
\(885\) | −2.04665e13 | −1.12150 | ||||||||
\(886\) | 1.40495e13 | 0.765963 | ||||||||
\(887\) | −5.24847e12 | − | 9.09062e12i | −0.284693 | − | 0.493102i | 0.687842 | − | 0.725861i | \(-0.258558\pi\) |
−0.972535 | + | 0.232758i | \(0.925225\pi\) | |||||||
\(888\) | −3.11630e12 | + | 5.39758e12i | −0.168182 | + | 0.291300i | ||||
\(889\) | −4.51075e11 | − | 7.81285e11i | −0.0242209 | − | 0.0419519i | ||||
\(890\) | −7.41150e12 | + | 1.28371e13i | −0.395960 | + | 0.685823i | ||||
\(891\) | −9.52542e11 | + | 1.64985e12i | −0.0506331 | + | 0.0876991i | ||||
\(892\) | 5.60528e12 | 0.296453 | ||||||||
\(893\) | −6.64373e12 | − | 1.67464e13i | −0.349607 | − | 0.881234i | ||||
\(894\) | −4.65193e12 | −0.243565 | ||||||||
\(895\) | 2.36336e12 | − | 4.09346e12i | 0.123119 | − | 0.213249i | ||||
\(896\) | 2.12884e11 | − | 3.68727e11i | 0.0110346 | − | 0.0191125i | ||||
\(897\) | 1.16361e13 | + | 2.01543e13i | 0.600123 | + | 1.03944i | ||||
\(898\) | −7.04766e12 | + | 1.22069e13i | −0.361661 | + | 0.626415i | ||||
\(899\) | −3.91942e12 | − | 6.78863e12i | −0.200126 | − | 0.346628i | ||||
\(900\) | −2.23981e12 | −0.113794 | ||||||||
\(901\) | −2.37107e13 | −1.19862 | ||||||||
\(902\) | 2.66917e12 | + | 4.62314e12i | 0.134260 | + | 0.232546i | ||||
\(903\) | 1.39330e12 | + | 2.41327e12i | 0.0697350 | + | 0.120784i | ||||
\(904\) | −7.53038e12 | −0.375024 | ||||||||
\(905\) | −2.71343e13 | −1.34462 | ||||||||
\(906\) | −5.67971e11 | − | 9.83754e11i | −0.0280059 | − | 0.0485076i | ||||
\(907\) | 9.59377e12 | − | 1.66169e13i | 0.470713 | − | 0.815299i | −0.528726 | − | 0.848793i | \(-0.677330\pi\) |
0.999439 | + | 0.0334933i | \(0.0106633\pi\) | |||||||
\(908\) | 9.32091e12 | + | 1.61443e13i | 0.455063 | + | 0.788193i | ||||
\(909\) | 8.46221e12 | − | 1.46570e13i | 0.411099 | − | 0.712044i | ||||
\(910\) | −3.01791e12 | + | 5.22717e12i | −0.145888 | + | 0.252686i | ||||
\(911\) | 4.33392e12 | 0.208472 | 0.104236 | − | 0.994553i | \(-0.466760\pi\) | ||||
0.104236 | + | 0.994553i | \(0.466760\pi\) | |||||||
\(912\) | −1.03678e12 | − | 2.61336e12i | −0.0496263 | − | 0.125090i | ||||
\(913\) | 1.33831e13 | 0.637439 | ||||||||
\(914\) | −1.20695e13 | + | 2.09050e13i | −0.572048 | + | 0.990816i | ||||
\(915\) | 4.09551e12 | − | 7.09363e12i | 0.193158 | − | 0.334560i | ||||
\(916\) | −5.20252e12 | − | 9.01102e12i | −0.244165 | − | 0.422907i | ||||
\(917\) | 3.59556e12 | − | 6.22770e12i | 0.167921 | − | 0.290848i | ||||
\(918\) | −9.24257e12 | − | 1.60086e13i | −0.429537 | − | 0.743980i | ||||
\(919\) | −1.25217e13 | −0.579087 | −0.289543 | − | 0.957165i | \(-0.593503\pi\) | ||||
−0.289543 | + | 0.957165i | \(0.593503\pi\) | |||||||
\(920\) | 1.36866e13 | 0.629867 | ||||||||
\(921\) | 3.16568e12 | + | 5.48312e12i | 0.144977 | + | 0.251107i | ||||
\(922\) | −8.90552e12 | − | 1.54248e13i | −0.405854 | − | 0.702960i | ||||
\(923\) | −1.56224e13 | −0.708502 | ||||||||
\(924\) | −7.02424e11 | −0.0317012 | ||||||||
\(925\) | −6.30503e12 | − | 1.09206e13i | −0.283171 | − | 0.490467i | ||||
\(926\) | −2.49660e12 | + | 4.32423e12i | −0.111583 | + | 0.193268i | ||||
\(927\) | −9.03208e12 | − | 1.56440e13i | −0.401725 | − | 0.695809i | ||||
\(928\) | 1.13112e12 | − | 1.95916e12i | 0.0500660 | − | 0.0867169i | ||||
\(929\) | −8.00409e12 | + | 1.38635e13i | −0.352567 | + | 0.610663i | −0.986698 | − | 0.162562i | \(-0.948024\pi\) |
0.634132 | + | 0.773225i | \(0.281358\pi\) | |||||||
\(930\) | 7.05058e12 | 0.309066 | ||||||||
\(931\) | 2.12656e13 | + | 3.12527e12i | 0.927693 | + | 0.136337i | ||||
\(932\) | 1.05314e12 | 0.0457208 | ||||||||
\(933\) | −2.73552e12 | + | 4.73806e12i | −0.118188 | + | 0.204707i | ||||
\(934\) | 6.33316e12 | − | 1.09694e13i | 0.272308 | − | 0.471651i | ||||
\(935\) | 8.35871e12 | + | 1.44777e13i | 0.357674 | + | 0.619509i | ||||
\(936\) | 4.24016e12 | − | 7.34417e12i | 0.180568 | − | 0.312753i | ||||
\(937\) | −1.35178e13 | − | 2.34136e13i | −0.572900 | − | 0.992291i | −0.996266 | − | 0.0863330i | \(-0.972485\pi\) |
0.423367 | − | 0.905958i | \(-0.360848\pi\) | |||||||
\(938\) | −2.67914e12 | −0.113001 | ||||||||
\(939\) | −2.06333e12 | −0.0866113 | ||||||||
\(940\) | 6.51937e12 | + | 1.12919e13i | 0.272352 | + | 0.471727i | ||||
\(941\) | −9.16436e12 | − | 1.58731e13i | −0.381021 | − | 0.659948i | 0.610187 | − | 0.792257i | \(-0.291094\pi\) |
−0.991208 | + | 0.132309i | \(0.957761\pi\) | |||||||
\(942\) | −1.33827e13 | −0.553752 | ||||||||
\(943\) | −3.03068e13 | −1.24806 | ||||||||
\(944\) | −5.52970e12 | − | 9.57773e12i | −0.226635 | − | 0.392544i | ||||
\(945\) | −3.23775e12 | + | 5.60795e12i | −0.132069 | + | 0.228750i | ||||
\(946\) | 4.26306e12 | + | 7.38383e12i | 0.173066 | + | 0.299759i | ||||
\(947\) | −1.26380e13 | + | 2.18897e13i | −0.510628 | + | 0.884434i | 0.489296 | + | 0.872118i | \(0.337254\pi\) |
−0.999924 | + | 0.0123165i | \(0.996079\pi\) | |||||||
\(948\) | 9.71150e11 | − | 1.68208e12i | 0.0390525 | − | 0.0676409i | ||||
\(949\) | 1.34397e13 | 0.537887 | ||||||||
\(950\) | 5.62791e12 | + | 8.27098e11i | 0.224177 | + | 0.0329458i | ||||
\(951\) | 1.36812e13 | 0.542388 | ||||||||
\(952\) | −1.47622e12 | + | 2.55689e12i | −0.0582485 | + | 0.100889i | ||||
\(953\) | −2.47415e13 | + | 4.28535e13i | −0.971646 | + | 1.68294i | −0.281059 | + | 0.959691i | \(0.590686\pi\) |
−0.690587 | + | 0.723249i | \(0.742648\pi\) | |||||||
\(954\) | −5.83499e12 | − | 1.01065e13i | −0.228072 | − | 0.395033i | ||||
\(955\) | −3.49910e12 | + | 6.06061e12i | −0.136126 | + | 0.235777i | ||||
\(956\) | −7.27546e12 | − | 1.26015e13i | −0.281708 | − | 0.487933i | ||||
\(957\) | −3.73220e12 | −0.143834 | ||||||||
\(958\) | 7.75368e12 | 0.297415 | ||||||||
\(959\) | −1.93607e12 | − | 3.35338e12i | −0.0739159 | − | 0.128026i | ||||
\(960\) | 1.01738e12 | + | 1.76215e12i | 0.0386600 | + | 0.0669610i | ||||
\(961\) | −1.32381e13 | −0.500690 | ||||||||
\(962\) | 4.77440e13 | 1.79734 | ||||||||
\(963\) | 4.76283e12 | + | 8.24947e12i | 0.178463 | + | 0.309106i | ||||
\(964\) | −1.26027e13 | + | 2.18286e13i | −0.470022 | + | 0.814102i | ||||
\(965\) | 2.88091e12 | + | 4.98988e12i | 0.106944 | + | 0.185232i | ||||
\(966\) | 1.99389e12 | − | 3.45352e12i | 0.0736724 | − | 0.127604i | ||||
\(967\) | 2.44131e13 | − | 4.22847e13i | 0.897850 | − | 1.55512i | 0.0676130 | − | 0.997712i | \(-0.478462\pi\) |
0.830237 | − | 0.557410i | \(-0.188205\pi\) | |||||||
\(968\) | 7.50896e12 | 0.274879 | ||||||||
\(969\) | 7.18946e12 | + | 1.81220e13i | 0.261962 | + | 0.660313i | ||||
\(970\) | 2.29819e13 | 0.833515 | ||||||||
\(971\) | −1.06745e13 | + | 1.84887e13i | −0.385354 | + | 0.667452i | −0.991818 | − | 0.127658i | \(-0.959254\pi\) |
0.606464 | + | 0.795111i | \(0.292587\pi\) | |||||||
\(972\) | 7.20892e12 | − | 1.24862e13i | 0.259043 | − | 0.448676i | ||||
\(973\) | −3.06155e12 | − | 5.30275e12i | −0.109505 | − | 0.189668i | ||||
\(974\) | 1.71056e13 | − | 2.96277e13i | 0.609007 | − | 1.05483i | ||||
\(975\) | −3.50003e12 | − | 6.06224e12i | −0.124037 | − | 0.214839i | ||||
\(976\) | 4.42615e12 | 0.156136 | ||||||||
\(977\) | 1.11835e13 | 0.392693 | 0.196346 | − | 0.980535i | \(-0.437092\pi\) | ||||
0.196346 | + | 0.980535i | \(0.437092\pi\) | |||||||
\(978\) | 3.13586e12 | + | 5.43147e12i | 0.109605 | + | 0.189842i | ||||
\(979\) | 6.60723e12 | + | 1.14441e13i | 0.229878 | + | 0.398160i | ||||
\(980\) | −1.55557e13 | −0.538733 | ||||||||
\(981\) | 1.87280e13 | 0.645625 | ||||||||
\(982\) | 5.87196e12 | + | 1.01705e13i | 0.201503 | + | 0.349013i | ||||
\(983\) | 3.24220e12 | − | 5.61565e12i | 0.110751 | − | 0.191827i | −0.805322 | − | 0.592837i | \(-0.798008\pi\) |
0.916073 | + | 0.401011i | \(0.131341\pi\) | |||||||
\(984\) | −2.25282e12 | − | 3.90200e12i | −0.0766036 | − | 0.132681i | ||||
\(985\) | −1.11827e13 | + | 1.93689e13i | −0.378514 | + | 0.655605i | ||||
\(986\) | −7.84362e12 | + | 1.35856e13i | −0.264284 | + | 0.457753i | ||||
\(987\) | 3.79903e12 | 0.127422 | ||||||||
\(988\) | −1.33662e13 | + | 1.68878e13i | −0.446273 | + | 0.563853i | ||||
\(989\) | −4.84043e13 | −1.60879 | ||||||||
\(990\) | −4.11401e12 | + | 7.12568e12i | −0.136115 | + | 0.235759i | ||||
\(991\) | −4.71682e12 | + | 8.16977e12i | −0.155352 | + | 0.269078i | −0.933187 | − | 0.359390i | \(-0.882985\pi\) |
0.777835 | + | 0.628469i | \(0.216318\pi\) | |||||||
\(992\) | 1.90495e12 | + | 3.29946e12i | 0.0624568 | + | 0.108178i | ||||
\(993\) | −1.00172e13 | + | 1.73503e13i | −0.326945 | + | 0.566285i | ||||
\(994\) | 1.33849e12 | + | 2.31833e12i | 0.0434886 | + | 0.0753245i | ||||
\(995\) | 6.34926e13 | 2.05362 | ||||||||
\(996\) | −1.12955e13 | −0.363697 | ||||||||
\(997\) | −1.76174e13 | − | 3.05143e13i | −0.564696 | − | 0.978082i | −0.997078 | − | 0.0763914i | \(-0.975660\pi\) |
0.432382 | − | 0.901691i | \(-0.357673\pi\) | |||||||
\(998\) | −9.07373e11 | − | 1.57162e12i | −0.0289533 | − | 0.0501486i | ||||
\(999\) | 5.12219e13 | 1.62709 |
(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 | 38.10.c.a.11.5 | yes | 14 | |
19.7 | even | 3 | inner | 38.10.c.a.7.5 | ✓ | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.a.7.5 | ✓ | 14 | 19.7 | even | 3 | inner | |
38.10.c.a.11.5 | yes | 14 | 1.1 | even | 1 | trivial |