Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,8,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, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
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: | \(4.37339035678\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{2389})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 598x^{2} + 597x + 356409 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(12.4693 - 21.5975i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.11 |
Dual form | 14.8.c.a.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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.00000 | − | 6.92820i | −0.353553 | − | 0.612372i | ||||
\(3\) | −10.4387 | + | 18.0804i | −0.223214 | + | 0.386618i | −0.955782 | − | 0.294075i | \(-0.904988\pi\) |
0.732568 | + | 0.680694i | \(0.238322\pi\) | |||||||
\(4\) | −32.0000 | + | 55.4256i | −0.250000 | + | 0.433013i | ||||
\(5\) | 108.377 | + | 187.715i | 0.387743 | + | 0.671590i | 0.992146 | − | 0.125089i | \(-0.0399216\pi\) |
−0.604403 | + | 0.796679i | \(0.706588\pi\) | |||||||
\(6\) | 167.019 | 0.315673 | ||||||||
\(7\) | 726.284 | + | 544.110i | 0.800319 | + | 0.599575i | ||||
\(8\) | 512.000 | 0.353553 | ||||||||
\(9\) | 875.567 | + | 1516.53i | 0.400351 | + | 0.693428i | ||||
\(10\) | 867.019 | − | 1501.72i | 0.274176 | − | 0.474886i | ||||
\(11\) | −1290.93 | + | 2235.95i | −0.292434 | + | 0.506511i | −0.974385 | − | 0.224887i | \(-0.927799\pi\) |
0.681951 | + | 0.731398i | \(0.261132\pi\) | |||||||
\(12\) | −668.077 | − | 1157.14i | −0.111607 | − | 0.193309i | ||||
\(13\) | −8921.97 | −1.12631 | −0.563156 | − | 0.826350i | \(-0.690413\pi\) | ||||
−0.563156 | + | 0.826350i | \(0.690413\pi\) | |||||||
\(14\) | 864.567 | − | 7208.28i | 0.0842075 | − | 0.702075i | ||||
\(15\) | −4525.28 | −0.346199 | ||||||||
\(16\) | −2048.00 | − | 3547.24i | −0.125000 | − | 0.216506i | ||||
\(17\) | 5556.44 | − | 9624.03i | 0.274300 | − | 0.475101i | −0.695659 | − | 0.718373i | \(-0.744887\pi\) |
0.969958 | + | 0.243272i | \(0.0782207\pi\) | |||||||
\(18\) | 7004.54 | − | 12132.2i | 0.283091 | − | 0.490328i | ||||
\(19\) | 4323.40 | + | 7488.34i | 0.144606 | + | 0.250466i | 0.929226 | − | 0.369512i | \(-0.120475\pi\) |
−0.784620 | + | 0.619977i | \(0.787142\pi\) | |||||||
\(20\) | −13872.3 | −0.387743 | ||||||||
\(21\) | −17419.1 | + | 7451.67i | −0.410449 | + | 0.175584i | ||||
\(22\) | 20654.9 | 0.413564 | ||||||||
\(23\) | 33028.6 | + | 57207.2i | 0.566034 | + | 0.980399i | 0.996953 | + | 0.0780088i | \(0.0248562\pi\) |
−0.430919 | + | 0.902391i | \(0.641810\pi\) | |||||||
\(24\) | −5344.61 | + | 9257.14i | −0.0789182 | + | 0.136690i | ||||
\(25\) | 15571.2 | − | 26970.1i | 0.199311 | − | 0.345217i | ||||
\(26\) | 35687.9 | + | 61813.2i | 0.398212 | + | 0.689723i | ||||
\(27\) | −82218.0 | −0.803885 | ||||||||
\(28\) | −53398.7 | + | 22843.2i | −0.459703 | + | 0.196655i | ||||
\(29\) | 128836. | 0.980941 | 0.490470 | − | 0.871458i | \(-0.336825\pi\) | ||||
0.490470 | + | 0.871458i | \(0.336825\pi\) | |||||||
\(30\) | 18101.1 | + | 31352.0i | 0.122400 | + | 0.212003i | ||||
\(31\) | 102048. | − | 176752.i | 0.615229 | − | 1.06561i | −0.375115 | − | 0.926978i | \(-0.622397\pi\) |
0.990344 | − | 0.138630i | \(-0.0442698\pi\) | |||||||
\(32\) | −16384.0 | + | 28377.9i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −26951.2 | − | 46680.9i | −0.130551 | − | 0.226121i | ||||
\(34\) | −88903.0 | −0.387918 | ||||||||
\(35\) | −23424.9 | + | 195304.i | −0.0923505 | + | 0.769967i | ||||
\(36\) | −112073. | −0.400351 | ||||||||
\(37\) | −245856. | − | 425834.i | −0.797947 | − | 1.38208i | −0.920951 | − | 0.389678i | \(-0.872586\pi\) |
0.123004 | − | 0.992406i | \(-0.460747\pi\) | |||||||
\(38\) | 34587.2 | − | 59906.7i | 0.102252 | − | 0.177106i | ||||
\(39\) | 93133.8 | − | 161312.i | 0.251409 | − | 0.435453i | ||||
\(40\) | 55489.2 | + | 96110.2i | 0.137088 | + | 0.237443i | ||||
\(41\) | −623293. | −1.41237 | −0.706185 | − | 0.708027i | \(-0.749585\pi\) | ||||
−0.706185 | + | 0.708027i | \(0.749585\pi\) | |||||||
\(42\) | 121303. | + | 90876.7i | 0.252639 | + | 0.189269i | ||||
\(43\) | 422919. | 0.811181 | 0.405591 | − | 0.914055i | \(-0.367066\pi\) | ||||
0.405591 | + | 0.914055i | \(0.367066\pi\) | |||||||
\(44\) | −82619.5 | − | 143101.i | −0.146217 | − | 0.253255i | ||||
\(45\) | −189783. | + | 328714.i | −0.310466 | + | 0.537743i | ||||
\(46\) | 264229. | − | 457657.i | 0.400246 | − | 0.693247i | ||||
\(47\) | 602714. | + | 1.04393e6i | 0.846777 | + | 1.46666i | 0.884069 | + | 0.467356i | \(0.154793\pi\) |
−0.0372922 | + | 0.999304i | \(0.511873\pi\) | |||||||
\(48\) | 85513.8 | 0.111607 | ||||||||
\(49\) | 231433. | + | 790356.i | 0.281021 | + | 0.959702i | ||||
\(50\) | −249139. | −0.281868 | ||||||||
\(51\) | 116004. | + | 200925.i | 0.122455 | + | 0.212099i | ||||
\(52\) | 285503. | − | 494506.i | 0.281578 | − | 0.487708i | ||||
\(53\) | 636483. | − | 1.10242e6i | 0.587247 | − | 1.01714i | −0.407344 | − | 0.913275i | \(-0.633545\pi\) |
0.994591 | − | 0.103867i | \(-0.0331217\pi\) | |||||||
\(54\) | 328872. | + | 569623.i | 0.284216 | + | 0.492277i | ||||
\(55\) | −559630. | −0.453557 | ||||||||
\(56\) | 371857. | + | 278584.i | 0.282955 | + | 0.211982i | ||||
\(57\) | −180523. | −0.129113 | ||||||||
\(58\) | −515342. | − | 892599.i | −0.346815 | − | 0.600701i | ||||
\(59\) | −840430. | + | 1.45567e6i | −0.532745 | + | 0.922741i | 0.466524 | + | 0.884509i | \(0.345506\pi\) |
−0.999269 | + | 0.0382328i | \(0.987827\pi\) | |||||||
\(60\) | 144809. | − | 250816.i | 0.0865497 | − | 0.149909i | ||||
\(61\) | −1.06128e6 | − | 1.83818e6i | −0.598651 | − | 1.03689i | −0.993021 | − | 0.117942i | \(-0.962370\pi\) |
0.394370 | − | 0.918952i | \(-0.370963\pi\) | |||||||
\(62\) | −1.63276e6 | −0.870065 | ||||||||
\(63\) | −189247. | + | 1.57783e6i | −0.0953534 | + | 0.795004i | ||||
\(64\) | 262144. | 0.125000 | ||||||||
\(65\) | −966940. | − | 1.67479e6i | −0.436720 | − | 0.756421i | ||||
\(66\) | −215610. | + | 373447.i | −0.0923134 | + | 0.159892i | ||||
\(67\) | 1.67466e6 | − | 2.90060e6i | 0.680245 | − | 1.17822i | −0.294660 | − | 0.955602i | \(-0.595207\pi\) |
0.974906 | − | 0.222618i | \(-0.0714602\pi\) | |||||||
\(68\) | 355612. | + | 615938.i | 0.137150 | + | 0.237550i | ||||
\(69\) | −1.37910e6 | −0.505387 | ||||||||
\(70\) | 1.44680e6 | − | 618922.i | 0.504157 | − | 0.215672i | ||||
\(71\) | 2.49257e6 | 0.826502 | 0.413251 | − | 0.910617i | \(-0.364393\pi\) | ||||
0.413251 | + | 0.910617i | \(0.364393\pi\) | |||||||
\(72\) | 448290. | + | 776462.i | 0.141545 | + | 0.245164i | ||||
\(73\) | 1.63676e6 | − | 2.83496e6i | 0.492443 | − | 0.852936i | −0.507519 | − | 0.861641i | \(-0.669437\pi\) |
0.999962 | + | 0.00870409i | \(0.00277063\pi\) | |||||||
\(74\) | −1.96684e6 | + | 3.40667e6i | −0.564234 | + | 0.977281i | ||||
\(75\) | 325086. | + | 563065.i | 0.0889782 | + | 0.154115i | ||||
\(76\) | −553395. | −0.144606 | ||||||||
\(77\) | −2.15418e6 | + | 921530.i | −0.537731 | + | 0.230034i | ||||
\(78\) | −1.49014e6 | −0.355546 | ||||||||
\(79\) | 2.09920e6 | + | 3.63591e6i | 0.479025 | + | 0.829695i | 0.999711 | − | 0.0240529i | \(-0.00765703\pi\) |
−0.520686 | + | 0.853748i | \(0.674324\pi\) | |||||||
\(80\) | 443914. | − | 768881.i | 0.0969357 | − | 0.167898i | ||||
\(81\) | −1.05662e6 | + | 1.83011e6i | −0.220912 | + | 0.382631i | ||||
\(82\) | 2.49317e6 | + | 4.31830e6i | 0.499348 | + | 0.864897i | ||||
\(83\) | 3.35527e6 | 0.644102 | 0.322051 | − | 0.946722i | \(-0.395628\pi\) | ||||
0.322051 | + | 0.946722i | \(0.395628\pi\) | |||||||
\(84\) | 144399. | − | 1.20392e6i | 0.0265820 | − | 0.221626i | ||||
\(85\) | 2.40877e6 | 0.425431 | ||||||||
\(86\) | −1.69168e6 | − | 2.93007e6i | −0.286796 | − | 0.496745i | ||||
\(87\) | −1.34488e6 | + | 2.32939e6i | −0.218960 | + | 0.379250i | ||||
\(88\) | −660956. | + | 1.14481e6i | −0.103391 | + | 0.179079i | ||||
\(89\) | −1.19979e6 | − | 2.07810e6i | −0.180402 | − | 0.312466i | 0.761615 | − | 0.648029i | \(-0.224407\pi\) |
−0.942018 | + | 0.335564i | \(0.891073\pi\) | |||||||
\(90\) | 3.03653e6 | 0.439066 | ||||||||
\(91\) | −6.47988e6 | − | 4.85453e6i | −0.901409 | − | 0.675308i | ||||
\(92\) | −4.22766e6 | −0.566034 | ||||||||
\(93\) | 2.13049e6 | + | 3.69011e6i | 0.274656 | + | 0.475718i | ||||
\(94\) | 4.82171e6 | − | 8.35145e6i | 0.598762 | − | 1.03709i | ||||
\(95\) | −937117. | + | 1.62313e6i | −0.112140 | + | 0.194232i | ||||
\(96\) | −342055. | − | 592457.i | −0.0394591 | − | 0.0683451i | ||||
\(97\) | 4.51506e6 | 0.502299 | 0.251150 | − | 0.967948i | \(-0.419191\pi\) | ||||
0.251150 | + | 0.967948i | \(0.419191\pi\) | |||||||
\(98\) | 4.55001e6 | − | 4.76483e6i | 0.488339 | − | 0.511395i | ||||
\(99\) | −4.52118e6 | −0.468305 | ||||||||
\(100\) | 996555. | + | 1.72608e6i | 0.0996555 | + | 0.172608i | ||||
\(101\) | −3.69997e6 | + | 6.40853e6i | −0.357333 | + | 0.618919i | −0.987514 | − | 0.157529i | \(-0.949647\pi\) |
0.630181 | + | 0.776448i | \(0.282981\pi\) | |||||||
\(102\) | 928032. | − | 1.60740e6i | 0.0865889 | − | 0.149976i | ||||
\(103\) | −9.22855e6 | − | 1.59843e7i | −0.832153 | − | 1.44133i | −0.896327 | − | 0.443393i | \(-0.853775\pi\) |
0.0641744 | − | 0.997939i | \(-0.479559\pi\) | |||||||
\(104\) | −4.56805e6 | −0.398212 | ||||||||
\(105\) | −3.28663e6 | − | 2.46225e6i | −0.277070 | − | 0.207572i | ||||
\(106\) | −1.01837e7 | −0.830493 | ||||||||
\(107\) | 2.49697e6 | + | 4.32488e6i | 0.197047 | + | 0.341296i | 0.947570 | − | 0.319549i | \(-0.103531\pi\) |
−0.750523 | + | 0.660845i | \(0.770198\pi\) | |||||||
\(108\) | 2.63098e6 | − | 4.55698e6i | 0.200971 | − | 0.348092i | ||||
\(109\) | −9.34351e6 | + | 1.61834e7i | −0.691062 | + | 1.19695i | 0.280428 | + | 0.959875i | \(0.409524\pi\) |
−0.971490 | + | 0.237080i | \(0.923810\pi\) | |||||||
\(110\) | 2.23852e6 | + | 3.87723e6i | 0.160357 | + | 0.277746i | ||||
\(111\) | 1.02656e7 | 0.712452 | ||||||||
\(112\) | 442658. | − | 3.69064e6i | 0.0297718 | − | 0.248221i | ||||
\(113\) | 2.49534e7 | 1.62688 | 0.813438 | − | 0.581651i | \(-0.197593\pi\) | ||||
0.813438 | + | 0.581651i | \(0.197593\pi\) | |||||||
\(114\) | 722090. | + | 1.25070e6i | 0.0456483 | + | 0.0790651i | ||||
\(115\) | −7.15910e6 | + | 1.23999e7i | −0.438951 | + | 0.760286i | ||||
\(116\) | −4.12274e6 | + | 7.14079e6i | −0.245235 | + | 0.424760i | ||||
\(117\) | −7.81178e6 | − | 1.35304e7i | −0.450920 | − | 0.781017i | ||||
\(118\) | 1.34469e7 | 0.753415 | ||||||||
\(119\) | 9.27208e6 | − | 3.96647e6i | 0.504386 | − | 0.215769i | ||||
\(120\) | −2.31694e6 | −0.122400 | ||||||||
\(121\) | 6.41059e6 | + | 1.11035e7i | 0.328965 | + | 0.569783i | ||||
\(122\) | −8.49020e6 | + | 1.47055e7i | −0.423310 | + | 0.733194i | ||||
\(123\) | 6.50636e6 | − | 1.12694e7i | 0.315261 | − | 0.546048i | ||||
\(124\) | 6.53105e6 | + | 1.13121e7i | 0.307614 | + | 0.532804i | ||||
\(125\) | 2.36842e7 | 1.08461 | ||||||||
\(126\) | 1.16885e7 | − | 5.00019e6i | 0.520551 | − | 0.222684i | ||||
\(127\) | −1.72080e7 | −0.745449 | −0.372724 | − | 0.927942i | \(-0.621576\pi\) | ||||
−0.372724 | + | 0.927942i | \(0.621576\pi\) | |||||||
\(128\) | −1.04858e6 | − | 1.81619e6i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −4.41473e6 | + | 7.64653e6i | −0.181067 | + | 0.313618i | ||||
\(130\) | −7.73552e6 | + | 1.33983e7i | −0.308807 | + | 0.534870i | ||||
\(131\) | −1.34633e7 | − | 2.33191e7i | −0.523242 | − | 0.906281i | −0.999634 | − | 0.0270484i | \(-0.991389\pi\) |
0.476392 | − | 0.879233i | \(-0.341944\pi\) | |||||||
\(132\) | 3.44976e6 | 0.130551 | ||||||||
\(133\) | −934467. | + | 7.79106e6i | −0.0344416 | + | 0.287155i | ||||
\(134\) | −2.67946e7 | −0.962012 | ||||||||
\(135\) | −8.91057e6 | − | 1.54336e7i | −0.311700 | − | 0.539881i | ||||
\(136\) | 2.84490e6 | − | 4.92751e6i | 0.0969796 | − | 0.167974i | ||||
\(137\) | 1.36301e7 | − | 2.36080e7i | 0.452873 | − | 0.784399i | −0.545690 | − | 0.837987i | \(-0.683732\pi\) |
0.998563 | + | 0.0535877i | \(0.0170657\pi\) | |||||||
\(138\) | 5.51641e6 | + | 9.55470e6i | 0.178681 | + | 0.309485i | ||||
\(139\) | −1.36813e7 | −0.432092 | −0.216046 | − | 0.976383i | \(-0.569316\pi\) | ||||
−0.216046 | + | 0.976383i | \(0.569316\pi\) | |||||||
\(140\) | −1.00752e7 | − | 7.54805e6i | −0.310318 | − | 0.232481i | ||||
\(141\) | −2.51662e7 | −0.756051 | ||||||||
\(142\) | −9.97030e6 | − | 1.72691e7i | −0.292213 | − | 0.506127i | ||||
\(143\) | 1.15176e7 | − | 1.99491e7i | 0.329372 | − | 0.570489i | ||||
\(144\) | 3.58632e6 | − | 6.21169e6i | 0.100088 | − | 0.173357i | ||||
\(145\) | 1.39629e7 | + | 2.41844e7i | 0.380353 | + | 0.658790i | ||||
\(146\) | −2.61882e7 | −0.696420 | ||||||||
\(147\) | −1.67058e7 | − | 4.06590e6i | −0.433766 | − | 0.105571i | ||||
\(148\) | 3.14695e7 | 0.797947 | ||||||||
\(149\) | −1.21944e7 | − | 2.11214e7i | −0.302002 | − | 0.523083i | 0.674587 | − | 0.738195i | \(-0.264322\pi\) |
−0.976589 | + | 0.215112i | \(0.930988\pi\) | |||||||
\(150\) | 2.60069e6 | − | 4.50452e6i | 0.0629171 | − | 0.108976i | ||||
\(151\) | −1.69013e7 | + | 2.92740e7i | −0.399486 | + | 0.691930i | −0.993663 | − | 0.112405i | \(-0.964145\pi\) |
0.594177 | + | 0.804335i | \(0.297478\pi\) | |||||||
\(152\) | 2.21358e6 | + | 3.83403e6i | 0.0511261 | + | 0.0885530i | ||||
\(153\) | 1.94601e7 | 0.439264 | ||||||||
\(154\) | 1.50013e7 | + | 1.12385e7i | 0.330983 | + | 0.247963i | ||||
\(155\) | 4.42386e7 | 0.954202 | ||||||||
\(156\) | 5.96056e6 | + | 1.03240e7i | 0.125705 | + | 0.217727i | ||||
\(157\) | −3.97833e6 | + | 6.89067e6i | −0.0820450 | + | 0.142106i | −0.904128 | − | 0.427261i | \(-0.859478\pi\) |
0.822083 | + | 0.569367i | \(0.192812\pi\) | |||||||
\(158\) | 1.67936e7 | − | 2.90873e7i | 0.338722 | − | 0.586683i | ||||
\(159\) | 1.32881e7 | + | 2.30157e7i | 0.262164 | + | 0.454081i | ||||
\(160\) | −7.10262e6 | −0.137088 | ||||||||
\(161\) | −7.13886e6 | + | 5.95198e7i | −0.134815 | + | 1.12401i | ||||
\(162\) | 1.69059e7 | 0.312417 | ||||||||
\(163\) | 2.68214e7 | + | 4.64560e7i | 0.485093 | + | 0.840205i | 0.999853 | − | 0.0171289i | \(-0.00545257\pi\) |
−0.514761 | + | 0.857334i | \(0.672119\pi\) | |||||||
\(164\) | 1.99454e7 | − | 3.45464e7i | 0.353093 | − | 0.611574i | ||||
\(165\) | 5.84181e6 | − | 1.01183e7i | 0.101240 | − | 0.175353i | ||||
\(166\) | −1.34211e7 | − | 2.32460e7i | −0.227724 | − | 0.394430i | ||||
\(167\) | −8.20253e7 | −1.36283 | −0.681413 | − | 0.731899i | \(-0.738634\pi\) | ||||
−0.681413 | + | 0.731899i | \(0.738634\pi\) | |||||||
\(168\) | −8.91860e6 | + | 3.81526e6i | −0.145116 | + | 0.0620785i | ||||
\(169\) | 1.68530e7 | 0.268581 | ||||||||
\(170\) | −9.63508e6 | − | 1.66884e7i | −0.150413 | − | 0.260522i | ||||
\(171\) | −7.57085e6 | + | 1.31131e7i | −0.115787 | + | 0.200548i | ||||
\(172\) | −1.35334e7 | + | 2.34406e7i | −0.202795 | + | 0.351252i | ||||
\(173\) | 3.39592e7 | + | 5.88190e7i | 0.498650 | + | 0.863687i | 0.999999 | − | 0.00155811i | \(-0.000495962\pi\) |
−0.501349 | + | 0.865245i | \(0.667163\pi\) | |||||||
\(174\) | 2.15180e7 | 0.309656 | ||||||||
\(175\) | 2.59838e7 | − | 1.11155e7i | 0.366496 | − | 0.156782i | ||||
\(176\) | 1.05753e7 | 0.146217 | ||||||||
\(177\) | −1.75460e7 | − | 3.03905e7i | −0.237833 | − | 0.411938i | ||||
\(178\) | −9.59835e6 | + | 1.66248e7i | −0.127564 | + | 0.220947i | ||||
\(179\) | 3.04898e7 | − | 5.28098e7i | 0.397346 | − | 0.688223i | −0.596052 | − | 0.802946i | \(-0.703265\pi\) |
0.993398 | + | 0.114723i | \(0.0365980\pi\) | |||||||
\(180\) | −1.21461e7 | − | 2.10377e7i | −0.155233 | − | 0.268872i | ||||
\(181\) | −1.53894e8 | −1.92907 | −0.964533 | − | 0.263963i | \(-0.914970\pi\) | ||||
−0.964533 | + | 0.263963i | \(0.914970\pi\) | |||||||
\(182\) | −7.71364e6 | + | 6.43120e7i | −0.0948439 | + | 0.790756i | ||||
\(183\) | 4.43133e7 | 0.534510 | ||||||||
\(184\) | 1.69106e7 | + | 2.92901e7i | 0.200123 | + | 0.346624i | ||||
\(185\) | 5.32904e7 | − | 9.23016e7i | 0.618796 | − | 1.07179i | ||||
\(186\) | 1.70439e7 | − | 2.95209e7i | 0.194211 | − | 0.336383i | ||||
\(187\) | 1.43459e7 | + | 2.48479e7i | 0.160429 | + | 0.277871i | ||||
\(188\) | −7.71474e7 | −0.846777 | ||||||||
\(189\) | −5.97136e7 | − | 4.47356e7i | −0.643364 | − | 0.481989i | ||||
\(190\) | 1.49939e7 | 0.158590 | ||||||||
\(191\) | −1.12603e7 | − | 1.95034e7i | −0.116932 | − | 0.202532i | 0.801618 | − | 0.597836i | \(-0.203973\pi\) |
−0.918550 | + | 0.395304i | \(0.870639\pi\) | |||||||
\(192\) | −2.73644e6 | + | 4.73966e6i | −0.0279018 | + | 0.0483273i | ||||
\(193\) | 6.76381e7 | − | 1.17153e8i | 0.677237 | − | 1.17301i | −0.298572 | − | 0.954387i | \(-0.596510\pi\) |
0.975810 | − | 0.218622i | \(-0.0701563\pi\) | |||||||
\(194\) | −1.80602e7 | − | 3.12813e7i | −0.177590 | − | 0.307594i | ||||
\(195\) | 4.03744e7 | 0.389928 | ||||||||
\(196\) | −5.12118e7 | − | 1.24641e7i | −0.485818 | − | 0.118240i | ||||
\(197\) | −8.96233e7 | −0.835197 | −0.417598 | − | 0.908632i | \(-0.637128\pi\) | ||||
−0.417598 | + | 0.908632i | \(0.637128\pi\) | |||||||
\(198\) | 1.80847e7 | + | 3.13237e7i | 0.165571 | + | 0.286777i | ||||
\(199\) | 2.74707e7 | − | 4.75806e7i | 0.247106 | − | 0.428000i | −0.715616 | − | 0.698494i | \(-0.753854\pi\) |
0.962722 | + | 0.270494i | \(0.0871870\pi\) | |||||||
\(200\) | 7.97244e6 | − | 1.38087e7i | 0.0704671 | − | 0.122053i | ||||
\(201\) | 3.49626e7 | + | 6.05570e7i | 0.303681 | + | 0.525991i | ||||
\(202\) | 5.91995e7 | 0.505345 | ||||||||
\(203\) | 9.35712e7 | + | 7.01007e7i | 0.785066 | + | 0.588147i | ||||
\(204\) | −1.48485e7 | −0.122455 | ||||||||
\(205\) | −6.75508e7 | − | 1.17001e8i | −0.547636 | − | 0.948534i | ||||
\(206\) | −7.38284e7 | + | 1.27875e8i | −0.588421 | + | 1.01918i | ||||
\(207\) | −5.78375e7 | + | 1.00177e8i | −0.453224 | + | 0.785007i | ||||
\(208\) | 1.82722e7 | + | 3.16484e7i | 0.140789 | + | 0.243854i | ||||
\(209\) | −2.23248e7 | −0.169151 | ||||||||
\(210\) | −3.91240e6 | + | 3.26194e7i | −0.0291525 | + | 0.243058i | ||||
\(211\) | −1.24539e8 | −0.912677 | −0.456338 | − | 0.889806i | \(-0.650839\pi\) | ||||
−0.456338 | + | 0.889806i | \(0.650839\pi\) | |||||||
\(212\) | 4.07349e7 | + | 7.05549e7i | 0.293624 | + | 0.508571i | ||||
\(213\) | −2.60192e7 | + | 4.50666e7i | −0.184487 | + | 0.319541i | ||||
\(214\) | 1.99758e7 | − | 3.45990e7i | 0.139333 | − | 0.241332i | ||||
\(215\) | 4.58349e7 | + | 7.93884e7i | 0.314530 | + | 0.544781i | ||||
\(216\) | −4.20956e7 | −0.284216 | ||||||||
\(217\) | 1.70288e8 | − | 7.28467e7i | 1.13129 | − | 0.483950i | ||||
\(218\) | 1.49496e8 | 0.977310 | ||||||||
\(219\) | 3.41714e7 | + | 5.91866e7i | 0.219841 | + | 0.380775i | ||||
\(220\) | 1.79082e7 | − | 3.10179e7i | 0.113389 | − | 0.196396i | ||||
\(221\) | −4.95744e7 | + | 8.58653e7i | −0.308947 | + | 0.535112i | ||||
\(222\) | −4.10626e7 | − | 7.11225e7i | −0.251890 | − | 0.436286i | ||||
\(223\) | 2.85464e8 | 1.72379 | 0.861895 | − | 0.507087i | \(-0.169278\pi\) | ||||
0.861895 | + | 0.507087i | \(0.169278\pi\) | |||||||
\(224\) | −2.73401e7 | + | 1.16957e7i | −0.162530 | + | 0.0695279i | ||||
\(225\) | 5.45345e7 | 0.319177 | ||||||||
\(226\) | −9.98135e7 | − | 1.72882e8i | −0.575188 | − | 0.996254i | ||||
\(227\) | −3.37141e7 | + | 5.83946e7i | −0.191303 | + | 0.331346i | −0.945682 | − | 0.325092i | \(-0.894605\pi\) |
0.754379 | + | 0.656439i | \(0.227938\pi\) | |||||||
\(228\) | 5.77672e6 | − | 1.00056e7i | 0.0322782 | − | 0.0559075i | ||||
\(229\) | −3.58459e7 | − | 6.20869e7i | −0.197249 | − | 0.341646i | 0.750386 | − | 0.660999i | \(-0.229867\pi\) |
−0.947636 | + | 0.319354i | \(0.896534\pi\) | |||||||
\(230\) | 1.14546e8 | 0.620771 | ||||||||
\(231\) | 5.82529e6 | − | 4.85680e7i | 0.0310939 | − | 0.259244i | ||||
\(232\) | 6.59638e7 | 0.346815 | ||||||||
\(233\) | −1.08990e6 | − | 1.88777e6i | −0.00564472 | − | 0.00977693i | 0.863189 | − | 0.504881i | \(-0.168463\pi\) |
−0.868834 | + | 0.495104i | \(0.835130\pi\) | |||||||
\(234\) | −6.24943e7 | + | 1.08243e8i | −0.318849 | + | 0.552262i | ||||
\(235\) | −1.30641e8 | + | 2.26277e8i | −0.656663 | + | 1.13737i | ||||
\(236\) | −5.37875e7 | − | 9.31627e7i | −0.266373 | − | 0.461371i | ||||
\(237\) | −8.76515e7 | −0.427701 | ||||||||
\(238\) | −6.45688e7 | − | 4.83730e7i | −0.310458 | − | 0.232586i | ||||
\(239\) | −1.87131e8 | −0.886654 | −0.443327 | − | 0.896360i | \(-0.646202\pi\) | ||||
−0.443327 | + | 0.896360i | \(0.646202\pi\) | |||||||
\(240\) | 9.26777e6 | + | 1.60522e7i | 0.0432749 | + | 0.0749543i | ||||
\(241\) | 6.26650e7 | − | 1.08539e8i | 0.288380 | − | 0.499489i | −0.685043 | − | 0.728502i | \(-0.740217\pi\) |
0.973423 | + | 0.229014i | \(0.0735500\pi\) | |||||||
\(242\) | 5.12847e7 | − | 8.88277e7i | 0.232613 | − | 0.402898i | ||||
\(243\) | −1.11965e8 | − | 1.93929e8i | −0.500564 | − | 0.867002i | ||||
\(244\) | 1.35843e8 | 0.598651 | ||||||||
\(245\) | −1.23280e8 | + | 1.29100e8i | −0.535562 | + | 0.560848i | ||||
\(246\) | −1.04102e8 | −0.445847 | ||||||||
\(247\) | −3.85732e7 | − | 6.68108e7i | −0.162872 | − | 0.282103i | ||||
\(248\) | 5.22484e7 | − | 9.04968e7i | 0.217516 | − | 0.376749i | ||||
\(249\) | −3.50247e7 | + | 6.06645e7i | −0.143773 | + | 0.249022i | ||||
\(250\) | −9.47369e7 | − | 1.64089e8i | −0.383468 | − | 0.664186i | ||||
\(251\) | 3.48978e7 | 0.139296 | 0.0696482 | − | 0.997572i | \(-0.477812\pi\) | ||||
0.0696482 | + | 0.997572i | \(0.477812\pi\) | |||||||
\(252\) | −8.13965e7 | − | 6.09798e7i | −0.320408 | − | 0.240040i | ||||
\(253\) | −1.70550e8 | −0.662110 | ||||||||
\(254\) | 6.88321e7 | + | 1.19221e8i | 0.263556 | + | 0.456492i | ||||
\(255\) | −2.51444e7 | + | 4.35514e7i | −0.0949622 | + | 0.164479i | ||||
\(256\) | −8.38861e6 | + | 1.45295e7i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.96784e7 | + | 5.14046e7i | 0.109062 | + | 0.188902i | 0.915391 | − | 0.402567i | \(-0.131882\pi\) |
−0.806328 | + | 0.591468i | \(0.798548\pi\) | |||||||
\(258\) | 7.06356e7 | 0.256068 | ||||||||
\(259\) | 5.31396e7 | − | 4.43049e8i | 0.190051 | − | 1.58454i | ||||
\(260\) | 1.23768e8 | 0.436720 | ||||||||
\(261\) | 1.12804e8 | + | 1.95383e8i | 0.392720 | + | 0.680212i | ||||
\(262\) | −1.07706e8 | + | 1.86553e8i | −0.369988 | + | 0.640838i | ||||
\(263\) | 1.06373e7 | − | 1.84243e7i | 0.0360567 | − | 0.0624521i | −0.847434 | − | 0.530901i | \(-0.821854\pi\) |
0.883491 | + | 0.468449i | \(0.155187\pi\) | |||||||
\(264\) | −1.37990e7 | − | 2.39006e7i | −0.0461567 | − | 0.0799458i | ||||
\(265\) | 2.75921e8 | 0.910804 | ||||||||
\(266\) | 5.77159e7 | − | 2.46901e7i | 0.188023 | − | 0.0804334i | ||||
\(267\) | 5.00972e7 | 0.161073 | ||||||||
\(268\) | 1.07178e8 | + | 1.85639e8i | 0.340123 | + | 0.589110i | ||||
\(269\) | −5.85529e7 | + | 1.01417e8i | −0.183407 | + | 0.317670i | −0.943038 | − | 0.332684i | \(-0.892046\pi\) |
0.759632 | + | 0.650353i | \(0.225379\pi\) | |||||||
\(270\) | −7.12846e7 | + | 1.23469e8i | −0.220405 | + | 0.381754i | ||||
\(271\) | 1.01385e8 | + | 1.75603e8i | 0.309442 | + | 0.535970i | 0.978240 | − | 0.207474i | \(-0.0665243\pi\) |
−0.668798 | + | 0.743444i | \(0.733191\pi\) | |||||||
\(272\) | −4.55183e7 | −0.137150 | ||||||||
\(273\) | 1.55413e8 | − | 6.64836e7i | 0.462294 | − | 0.197763i | ||||
\(274\) | −2.18081e8 | −0.640459 | ||||||||
\(275\) | 4.02026e7 | + | 6.96329e7i | 0.116571 | + | 0.201906i | ||||
\(276\) | 4.41312e7 | − | 7.64376e7i | 0.126347 | − | 0.218839i | ||||
\(277\) | −5.05757e7 | + | 8.75996e7i | −0.142976 | + | 0.247641i | −0.928616 | − | 0.371042i | \(-0.879000\pi\) |
0.785640 | + | 0.618684i | \(0.212334\pi\) | |||||||
\(278\) | 5.47253e7 | + | 9.47869e7i | 0.152768 | + | 0.264601i | ||||
\(279\) | 3.57398e8 | 0.985230 | ||||||||
\(280\) | −1.19935e7 | + | 9.99954e7i | −0.0326508 | + | 0.272224i | ||||
\(281\) | 3.69631e8 | 0.993793 | 0.496897 | − | 0.867810i | \(-0.334473\pi\) | ||||
0.496897 | + | 0.867810i | \(0.334473\pi\) | |||||||
\(282\) | 1.00665e8 | + | 1.74357e8i | 0.267304 | + | 0.462985i | ||||
\(283\) | 1.09831e8 | − | 1.90232e8i | 0.288052 | − | 0.498921i | −0.685293 | − | 0.728268i | \(-0.740326\pi\) |
0.973345 | + | 0.229347i | \(0.0736590\pi\) | |||||||
\(284\) | −7.97624e7 | + | 1.38153e8i | −0.206626 | + | 0.357886i | ||||
\(285\) | −1.95646e7 | − | 3.38868e7i | −0.0500626 | − | 0.0867109i | ||||
\(286\) | −1.84282e8 | −0.465803 | ||||||||
\(287\) | −4.52687e8 | − | 3.39140e8i | −1.13035 | − | 0.846821i | ||||
\(288\) | −5.73812e7 | −0.141545 | ||||||||
\(289\) | 1.43421e8 | + | 2.48413e8i | 0.349519 | + | 0.605385i | ||||
\(290\) | 1.11703e8 | − | 1.93475e8i | 0.268950 | − | 0.465835i | ||||
\(291\) | −4.71314e7 | + | 8.16339e7i | −0.112120 | + | 0.194198i | ||||
\(292\) | 1.04753e8 | + | 1.81437e8i | 0.246222 | + | 0.426468i | ||||
\(293\) | −7.22230e8 | −1.67741 | −0.838704 | − | 0.544587i | \(-0.816686\pi\) | ||||
−0.838704 | + | 0.544587i | \(0.816686\pi\) | |||||||
\(294\) | 3.86537e7 | + | 1.32005e8i | 0.0887106 | + | 0.302952i | ||||
\(295\) | −3.64334e8 | −0.826272 | ||||||||
\(296\) | −1.25878e8 | − | 2.18027e8i | −0.282117 | − | 0.488641i | ||||
\(297\) | 1.06138e8 | − | 1.83836e8i | 0.235083 | − | 0.407176i | ||||
\(298\) | −9.75555e7 | + | 1.68971e8i | −0.213548 | + | 0.369875i | ||||
\(299\) | −2.94680e8 | − | 5.10401e8i | −0.637531 | − | 1.10424i | ||||
\(300\) | −4.16110e7 | −0.0889782 | ||||||||
\(301\) | 3.07159e8 | + | 2.30114e8i | 0.649204 | + | 0.486364i | ||||
\(302\) | 2.70421e8 | 0.564959 | ||||||||
\(303\) | −7.72457e7 | − | 1.33794e8i | −0.159524 | − | 0.276303i | ||||
\(304\) | 1.77086e7 | − | 3.06722e7i | 0.0361516 | − | 0.0626164i | ||||
\(305\) | 2.30036e8 | − | 3.98435e8i | 0.464245 | − | 0.804096i | ||||
\(306\) | −7.78406e7 | − | 1.34824e8i | −0.155303 | − | 0.268993i | ||||
\(307\) | −6.39545e7 | −0.126150 | −0.0630750 | − | 0.998009i | \(-0.520091\pi\) | ||||
−0.0630750 | + | 0.998009i | \(0.520091\pi\) | |||||||
\(308\) | 1.78575e7 | − | 1.48886e8i | 0.0348252 | − | 0.290353i | ||||
\(309\) | 3.85336e8 | 0.742994 | ||||||||
\(310\) | −1.76954e8 | − | 3.06494e8i | −0.337361 | − | 0.584327i | ||||
\(311\) | −7.73216e7 | + | 1.33925e8i | −0.145760 | + | 0.252464i | −0.929656 | − | 0.368428i | \(-0.879896\pi\) |
0.783896 | + | 0.620892i | \(0.213229\pi\) | |||||||
\(312\) | 4.76845e7 | − | 8.25919e7i | 0.0888865 | − | 0.153956i | ||||
\(313\) | 2.46992e8 | + | 4.27803e8i | 0.455279 | + | 0.788567i | 0.998704 | − | 0.0508911i | \(-0.0162062\pi\) |
−0.543425 | + | 0.839458i | \(0.682873\pi\) | |||||||
\(314\) | 6.36533e7 | 0.116029 | ||||||||
\(315\) | −3.16693e8 | + | 1.35477e8i | −0.570889 | + | 0.244218i | ||||
\(316\) | −2.68697e8 | −0.479025 | ||||||||
\(317\) | −2.14969e8 | − | 3.72338e8i | −0.379026 | − | 0.656492i | 0.611895 | − | 0.790939i | \(-0.290408\pi\) |
−0.990921 | + | 0.134447i | \(0.957074\pi\) | |||||||
\(318\) | 1.06305e8 | − | 1.84125e8i | 0.185378 | − | 0.321084i | ||||
\(319\) | −1.66318e8 | + | 2.88071e8i | −0.286861 | + | 0.496857i | ||||
\(320\) | 2.84105e7 | + | 4.92084e7i | 0.0484678 | + | 0.0839488i | ||||
\(321\) | −1.04260e8 | −0.175935 | ||||||||
\(322\) | 4.40921e8 | − | 1.88620e8i | 0.735978 | − | 0.314841i | ||||
\(323\) | 9.60907e7 | 0.158662 | ||||||||
\(324\) | −6.76235e7 | − | 1.17127e8i | −0.110456 | − | 0.191316i | ||||
\(325\) | −1.38926e8 | + | 2.40626e8i | −0.224487 | + | 0.388822i | ||||
\(326\) | 2.14571e8 | − | 3.71648e8i | 0.343012 | − | 0.594115i | ||||
\(327\) | −1.95068e8 | − | 3.37868e8i | −0.308510 | − | 0.534355i | ||||
\(328\) | −3.19126e8 | −0.499348 | ||||||||
\(329\) | −1.30272e8 | + | 1.08613e9i | −0.201681 | + | 1.68150i | ||||
\(330\) | −9.34690e7 | −0.143175 | ||||||||
\(331\) | 1.64085e8 | + | 2.84203e8i | 0.248697 | + | 0.430755i | 0.963164 | − | 0.268913i | \(-0.0866645\pi\) |
−0.714468 | + | 0.699668i | \(0.753331\pi\) | |||||||
\(332\) | −1.07369e8 | + | 1.85968e8i | −0.161025 | + | 0.278904i | ||||
\(333\) | 4.30526e8 | − | 7.45693e8i | 0.638917 | − | 1.10664i | ||||
\(334\) | 3.28101e8 | + | 5.68288e8i | 0.481832 | + | 0.834557i | ||||
\(335\) | 7.25983e8 | 1.05504 | ||||||||
\(336\) | 6.21073e7 | + | 4.65289e7i | 0.0893213 | + | 0.0669168i | ||||
\(337\) | −1.14409e8 | −0.162838 | −0.0814189 | − | 0.996680i | \(-0.525945\pi\) | ||||
−0.0814189 | + | 0.996680i | \(0.525945\pi\) | |||||||
\(338\) | −6.74121e7 | − | 1.16761e8i | −0.0949576 | − | 0.164471i | ||||
\(339\) | −2.60481e8 | + | 4.51166e8i | −0.363142 | + | 0.628981i | ||||
\(340\) | −7.70806e7 | + | 1.33508e8i | −0.106358 | + | 0.184217i | ||||
\(341\) | 2.63472e8 | + | 4.56348e8i | 0.359828 | + | 0.623240i | ||||
\(342\) | 1.21134e8 | 0.163747 | ||||||||
\(343\) | −2.61954e8 | + | 6.99947e8i | −0.350507 | + | 0.936560i | ||||
\(344\) | 2.16535e8 | 0.286796 | ||||||||
\(345\) | −1.49463e8 | − | 2.58878e8i | −0.195960 | − | 0.339413i | ||||
\(346\) | 2.71673e8 | − | 4.70552e8i | 0.352599 | − | 0.610719i | ||||
\(347\) | 3.28339e8 | − | 5.68699e8i | 0.421860 | − | 0.730684i | −0.574261 | − | 0.818672i | \(-0.694711\pi\) |
0.996121 | + | 0.0879887i | \(0.0280439\pi\) | |||||||
\(348\) | −8.60721e7 | − | 1.49081e8i | −0.109480 | − | 0.189625i | ||||
\(349\) | −8.85994e8 | −1.11569 | −0.557843 | − | 0.829947i | \(-0.688371\pi\) | ||||
−0.557843 | + | 0.829947i | \(0.688371\pi\) | |||||||
\(350\) | −1.80945e8 | − | 1.35559e8i | −0.225585 | − | 0.169001i | ||||
\(351\) | 7.33546e8 | 0.905426 | ||||||||
\(352\) | −4.23012e7 | − | 7.32678e7i | −0.0516955 | − | 0.0895393i | ||||
\(353\) | −3.43700e8 | + | 5.95305e8i | −0.415880 | + | 0.720324i | −0.995520 | − | 0.0945476i | \(-0.969860\pi\) |
0.579641 | + | 0.814872i | \(0.303193\pi\) | |||||||
\(354\) | −1.40368e8 | + | 2.43124e8i | −0.168173 | + | 0.291284i | ||||
\(355\) | 2.70139e8 | + | 4.67894e8i | 0.320470 | + | 0.555071i | ||||
\(356\) | 1.53574e8 | 0.180402 | ||||||||
\(357\) | −2.50733e7 | + | 2.09047e8i | −0.0291657 | + | 0.243168i | ||||
\(358\) | −4.87836e8 | −0.561932 | ||||||||
\(359\) | −1.61222e7 | − | 2.79244e7i | −0.0183905 | − | 0.0318533i | 0.856684 | − | 0.515842i | \(-0.172521\pi\) |
−0.875074 | + | 0.483989i | \(0.839188\pi\) | |||||||
\(360\) | −9.71691e7 | + | 1.68302e8i | −0.109766 | + | 0.190121i | ||||
\(361\) | 4.09552e8 | − | 7.09365e8i | 0.458178 | − | 0.793588i | ||||
\(362\) | 6.15577e8 | + | 1.06621e9i | 0.682028 | + | 1.18131i | ||||
\(363\) | −2.67673e8 | −0.293718 | ||||||||
\(364\) | 4.76421e8 | − | 2.03806e8i | 0.517770 | − | 0.221495i | ||||
\(365\) | 7.09553e8 | 0.763765 | ||||||||
\(366\) | −1.77253e8 | − | 3.07012e8i | −0.188978 | − | 0.327319i | ||||
\(367\) | 3.58275e8 | − | 6.20551e8i | 0.378343 | − | 0.655309i | −0.612479 | − | 0.790487i | \(-0.709827\pi\) |
0.990821 | + | 0.135178i | \(0.0431607\pi\) | |||||||
\(368\) | 1.35285e8 | − | 2.34321e8i | 0.141508 | − | 0.245100i | ||||
\(369\) | −5.45735e8 | − | 9.45240e8i | −0.565444 | − | 0.979377i | ||||
\(370\) | −8.52646e8 | −0.875110 | ||||||||
\(371\) | 1.06210e9 | − | 4.54353e8i | 1.07984 | − | 0.461940i | ||||
\(372\) | −2.72702e8 | −0.274656 | ||||||||
\(373\) | −6.11134e8 | − | 1.05852e9i | −0.609755 | − | 1.05613i | −0.991281 | − | 0.131769i | \(-0.957934\pi\) |
0.381525 | − | 0.924358i | \(-0.375399\pi\) | |||||||
\(374\) | 1.14767e8 | − | 1.98783e8i | 0.113441 | − | 0.196485i | ||||
\(375\) | −2.47232e8 | + | 4.28219e8i | −0.242101 | + | 0.419331i | ||||
\(376\) | 3.08590e8 | + | 5.34493e8i | 0.299381 | + | 0.518543i | ||||
\(377\) | −1.14947e9 | −1.10485 | ||||||||
\(378\) | −7.10830e7 | + | 5.92650e8i | −0.0676931 | + | 0.564387i | ||||
\(379\) | −6.83298e8 | −0.644723 | −0.322361 | − | 0.946617i | \(-0.604477\pi\) | ||||
−0.322361 | + | 0.946617i | \(0.604477\pi\) | |||||||
\(380\) | −5.99755e7 | − | 1.03881e8i | −0.0560701 | − | 0.0971162i | ||||
\(381\) | 1.79629e8 | − | 3.11127e8i | 0.166395 | − | 0.288204i | ||||
\(382\) | −9.00823e7 | + | 1.56027e8i | −0.0826833 | + | 0.143212i | ||||
\(383\) | −1.01294e9 | − | 1.75447e9i | −0.921273 | − | 1.59569i | −0.797447 | − | 0.603388i | \(-0.793817\pi\) |
−0.123826 | − | 0.992304i | \(-0.539516\pi\) | |||||||
\(384\) | 4.37831e7 | 0.0394591 | ||||||||
\(385\) | −4.06450e8 | − | 3.04500e8i | −0.362990 | − | 0.271941i | ||||
\(386\) | −1.08221e9 | −0.957758 | ||||||||
\(387\) | 3.70294e8 | + | 6.41368e8i | 0.324757 | + | 0.562496i | ||||
\(388\) | −1.44482e8 | + | 2.50250e8i | −0.125575 | + | 0.217502i | ||||
\(389\) | 3.64506e8 | − | 6.31342e8i | 0.313965 | − | 0.543803i | −0.665252 | − | 0.746619i | \(-0.731676\pi\) |
0.979217 | + | 0.202816i | \(0.0650093\pi\) | |||||||
\(390\) | −1.61498e8 | − | 2.79722e8i | −0.137860 | − | 0.238781i | ||||
\(391\) | 7.34085e8 | 0.621052 | ||||||||
\(392\) | 1.18494e8 | + | 4.04662e8i | 0.0993558 | + | 0.339306i | ||||
\(393\) | 5.62158e8 | 0.467180 | ||||||||
\(394\) | 3.58493e8 | + | 6.20928e8i | 0.295287 | + | 0.511452i | ||||
\(395\) | −4.55011e8 | + | 7.88102e8i | −0.371477 | + | 0.643417i | ||||
\(396\) | 1.44678e8 | − | 2.50589e8i | 0.117076 | − | 0.202782i | ||||
\(397\) | 6.63836e8 | + | 1.14980e9i | 0.532469 | + | 0.922263i | 0.999281 | + | 0.0379069i | \(0.0120690\pi\) |
−0.466812 | + | 0.884356i | \(0.654598\pi\) | |||||||
\(398\) | −4.39531e8 | −0.349461 | ||||||||
\(399\) | −1.31111e8 | − | 9.82240e7i | −0.103331 | − | 0.0774128i | ||||
\(400\) | −1.27559e8 | −0.0996555 | ||||||||
\(401\) | 4.28975e8 | + | 7.43007e8i | 0.332221 | + | 0.575423i | 0.982947 | − | 0.183889i | \(-0.0588688\pi\) |
−0.650726 | + | 0.759312i | \(0.725535\pi\) | |||||||
\(402\) | 2.79701e8 | − | 4.84456e8i | 0.214735 | − | 0.371932i | ||||
\(403\) | −9.10465e8 | + | 1.57697e9i | −0.692940 | + | 1.20021i | ||||
\(404\) | −2.36798e8 | − | 4.10146e8i | −0.178667 | − | 0.309460i | ||||
\(405\) | −4.58053e8 | −0.342629 | ||||||||
\(406\) | 1.11387e8 | − | 9.28683e8i | 0.0826025 | − | 0.688694i | ||||
\(407\) | 1.26953e9 | 0.933387 | ||||||||
\(408\) | 5.93940e7 | + | 1.02873e8i | 0.0432945 | + | 0.0749882i | ||||
\(409\) | 1.05133e9 | − | 1.82096e9i | 0.759814 | − | 1.31604i | −0.183131 | − | 0.983089i | \(-0.558623\pi\) |
0.942945 | − | 0.332948i | \(-0.108044\pi\) | |||||||
\(410\) | −5.40407e8 | + | 9.36012e8i | −0.387237 | + | 0.670715i | ||||
\(411\) | 2.84561e8 | + | 4.92874e8i | 0.202176 | + | 0.350178i | ||||
\(412\) | 1.18125e9 | 0.832153 | ||||||||
\(413\) | −1.40243e9 | + | 5.99941e8i | −0.979618 | + | 0.419067i | ||||
\(414\) | 9.25400e8 | 0.640956 | ||||||||
\(415\) | 3.63636e8 | + | 6.29835e8i | 0.249746 | + | 0.432572i | ||||
\(416\) | 1.46178e8 | − | 2.53187e8i | 0.0995529 | − | 0.172431i | ||||
\(417\) | 1.42815e8 | − | 2.47363e8i | 0.0964490 | − | 0.167055i | ||||
\(418\) | 8.92992e7 | + | 1.54671e8i | 0.0598040 | + | 0.103584i | ||||
\(419\) | 2.47991e9 | 1.64697 | 0.823486 | − | 0.567336i | \(-0.192026\pi\) | ||||
0.823486 | + | 0.567336i | \(0.192026\pi\) | |||||||
\(420\) | 2.41644e8 | − | 1.03372e8i | 0.159149 | − | 0.0680816i | ||||
\(421\) | −5.51855e7 | −0.0360444 | −0.0180222 | − | 0.999838i | \(-0.505737\pi\) | ||||
−0.0180222 | + | 0.999838i | \(0.505737\pi\) | |||||||
\(422\) | 4.98156e8 | + | 8.62832e8i | 0.322680 | + | 0.558898i | ||||
\(423\) | −1.05543e9 | + | 1.82806e9i | −0.678016 | + | 1.17436i | ||||
\(424\) | 3.25879e8 | − | 5.64439e8i | 0.207623 | − | 0.359614i | ||||
\(425\) | −1.73041e8 | − | 2.99715e8i | −0.109342 | − | 0.189386i | ||||
\(426\) | 4.16308e8 | 0.260904 | ||||||||
\(427\) | 2.29386e8 | − | 1.91249e9i | 0.142583 | − | 1.18878i | ||||
\(428\) | −3.19612e8 | −0.197047 | ||||||||
\(429\) | 2.40458e8 | + | 4.16486e8i | 0.147041 | + | 0.254683i | ||||
\(430\) | 3.66679e8 | − | 6.35107e8i | 0.222406 | − | 0.385219i | ||||
\(431\) | −8.42361e8 | + | 1.45901e9i | −0.506790 | + | 0.877786i | 0.493179 | + | 0.869928i | \(0.335835\pi\) |
−0.999969 | + | 0.00785824i | \(0.997499\pi\) | |||||||
\(432\) | 1.68382e8 | + | 2.91647e8i | 0.100486 | + | 0.174046i | ||||
\(433\) | −1.29692e9 | −0.767724 | −0.383862 | − | 0.923390i | \(-0.625406\pi\) | ||||
−0.383862 | + | 0.923390i | \(0.625406\pi\) | |||||||
\(434\) | −1.18585e9 | − | 8.88401e8i | −0.696330 | − | 0.521669i | ||||
\(435\) | −5.83017e8 | −0.339601 | ||||||||
\(436\) | −5.97984e8 | − | 1.03574e9i | −0.345531 | − | 0.598477i | ||||
\(437\) | −2.85591e8 | + | 4.94659e8i | −0.163704 | + | 0.283544i | ||||
\(438\) | 2.73371e8 | − | 4.73492e8i | 0.155451 | − | 0.269249i | ||||
\(439\) | 7.03191e7 | + | 1.21796e8i | 0.0396686 | + | 0.0687081i | 0.885178 | − | 0.465252i | \(-0.154036\pi\) |
−0.845509 | + | 0.533960i | \(0.820703\pi\) | |||||||
\(440\) | −2.86531e8 | −0.160357 | ||||||||
\(441\) | −9.95961e8 | + | 1.04298e9i | −0.552977 | + | 0.579085i | ||||
\(442\) | 7.93190e8 | 0.436917 | ||||||||
\(443\) | 9.24666e8 | + | 1.60157e9i | 0.505326 | + | 0.875251i | 0.999981 | + | 0.00616141i | \(0.00196125\pi\) |
−0.494655 | + | 0.869090i | \(0.664705\pi\) | |||||||
\(444\) | −3.28501e8 | + | 5.68980e8i | −0.178113 | + | 0.308501i | ||||
\(445\) | 2.60061e8 | − | 4.50439e8i | 0.139899 | − | 0.242313i | ||||
\(446\) | −1.14186e9 | − | 1.97775e9i | −0.609452 | − | 1.05560i | ||||
\(447\) | 5.09176e8 | 0.269645 | ||||||||
\(448\) | 1.90391e8 | + | 1.42635e8i | 0.100040 | + | 0.0749468i | ||||
\(449\) | −2.91794e9 | −1.52130 | −0.760648 | − | 0.649165i | \(-0.775118\pi\) | ||||
−0.760648 | + | 0.649165i | \(0.775118\pi\) | |||||||
\(450\) | −2.18138e8 | − | 3.77826e8i | −0.112846 | − | 0.195455i | ||||
\(451\) | 8.04627e8 | − | 1.39365e9i | 0.413025 | − | 0.715381i | ||||
\(452\) | −7.98508e8 | + | 1.38306e9i | −0.406719 | + | 0.704458i | ||||
\(453\) | −3.52856e8 | − | 6.11164e8i | −0.178342 | − | 0.308897i | ||||
\(454\) | 5.39426e8 | 0.270543 | ||||||||
\(455\) | 2.08996e8 | − | 1.74249e9i | 0.104016 | − | 0.867224i | ||||
\(456\) | −9.24275e7 | −0.0456483 | ||||||||
\(457\) | −1.42040e9 | − | 2.46021e9i | −0.696153 | − | 1.20577i | −0.969791 | − | 0.243939i | \(-0.921560\pi\) |
0.273638 | − | 0.961833i | \(-0.411773\pi\) | |||||||
\(458\) | −2.86767e8 | + | 4.96695e8i | −0.139476 | + | 0.241580i | ||||
\(459\) | −4.56839e8 | + | 7.91269e8i | −0.220505 | + | 0.381926i | ||||
\(460\) | −4.58183e8 | − | 7.93595e8i | −0.219476 | − | 0.380143i | ||||
\(461\) | 3.96057e9 | 1.88280 | 0.941400 | − | 0.337291i | \(-0.109511\pi\) | ||||
0.941400 | + | 0.337291i | \(0.109511\pi\) | |||||||
\(462\) | −3.59790e8 | + | 1.53913e8i | −0.169747 | + | 0.0726155i | ||||
\(463\) | −2.19815e9 | −1.02926 | −0.514629 | − | 0.857413i | \(-0.672070\pi\) | ||||
−0.514629 | + | 0.857413i | \(0.672070\pi\) | |||||||
\(464\) | −2.63855e8 | − | 4.57011e8i | −0.122618 | − | 0.212380i | ||||
\(465\) | −4.61793e8 | + | 7.99850e8i | −0.212992 | + | 0.368912i | ||||
\(466\) | −8.71922e6 | + | 1.51021e7i | −0.00399142 | + | 0.00691334i | ||||
\(467\) | −1.56120e9 | − | 2.70408e9i | −0.709332 | − | 1.22860i | −0.965105 | − | 0.261862i | \(-0.915663\pi\) |
0.255773 | − | 0.966737i | \(-0.417670\pi\) | |||||||
\(468\) | 9.99908e8 | 0.450920 | ||||||||
\(469\) | 2.79453e9 | − | 1.19546e9i | 1.25084 | − | 0.535094i | ||||
\(470\) | 2.09026e9 | 0.928662 | ||||||||
\(471\) | −8.30572e7 | − | 1.43859e8i | −0.0366272 | − | 0.0634403i | ||||
\(472\) | −4.30300e8 | + | 7.45302e8i | −0.188354 | + | 0.326238i | ||||
\(473\) | −5.45959e8 | + | 9.45629e8i | −0.237217 | + | 0.410872i | ||||
\(474\) | 3.50606e8 | + | 6.07267e8i | 0.151215 | + | 0.261912i | ||||
\(475\) | 2.69282e8 | 0.115287 | ||||||||
\(476\) | −7.68626e7 | + | 6.40838e8i | −0.0326656 | + | 0.272348i | ||||
\(477\) | 2.22913e9 | 0.940420 | ||||||||
\(478\) | 7.48526e8 | + | 1.29648e9i | 0.313479 | + | 0.542962i | ||||
\(479\) | 6.79522e8 | − | 1.17697e9i | 0.282507 | − | 0.489317i | −0.689494 | − | 0.724291i | \(-0.742167\pi\) |
0.972002 | + | 0.234974i | \(0.0755006\pi\) | |||||||
\(480\) | 7.41421e7 | − | 1.28418e8i | 0.0305999 | − | 0.0530007i | ||||
\(481\) | 2.19352e9 | + | 3.79928e9i | 0.898738 | + | 1.55666i | ||||
\(482\) | −1.00264e9 | −0.407831 | ||||||||
\(483\) | −1.00162e9 | − | 7.50382e8i | −0.404471 | − | 0.303017i | ||||
\(484\) | −8.20555e8 | −0.328965 | ||||||||
\(485\) | 4.89330e8 | + | 8.47545e8i | 0.194763 | + | 0.337339i | ||||
\(486\) | −8.95718e8 | + | 1.55143e9i | −0.353952 | + | 0.613063i | ||||
\(487\) | −1.19733e9 | + | 2.07383e9i | −0.469745 | + | 0.813622i | −0.999402 | − | 0.0345902i | \(-0.988987\pi\) |
0.529657 | + | 0.848212i | \(0.322321\pi\) | |||||||
\(488\) | −5.43373e8 | − | 9.41149e8i | −0.211655 | − | 0.366597i | ||||
\(489\) | −1.11992e9 | −0.433118 | ||||||||
\(490\) | 1.38755e9 | + | 3.37706e8i | 0.532798 | + | 0.129674i | ||||
\(491\) | −1.95738e9 | −0.746261 | −0.373130 | − | 0.927779i | \(-0.621716\pi\) | ||||
−0.373130 | + | 0.927779i | \(0.621716\pi\) | |||||||
\(492\) | 4.16407e8 | + | 7.21239e8i | 0.157631 | + | 0.273024i | ||||
\(493\) | 7.15867e8 | − | 1.23992e9i | 0.269072 | − | 0.466046i | ||||
\(494\) | −3.08586e8 | + | 5.34486e8i | −0.115168 | + | 0.199477i | ||||
\(495\) | −4.89994e8 | − | 8.48694e8i | −0.181582 | − | 0.314509i | ||||
\(496\) | −8.35974e8 | −0.307614 | ||||||||
\(497\) | 1.81032e9 | + | 1.35623e9i | 0.661465 | + | 0.495550i | ||||
\(498\) | 5.60395e8 | 0.203325 | ||||||||
\(499\) | −1.47577e8 | − | 2.55611e8i | −0.0531699 | − | 0.0920931i | 0.838215 | − | 0.545339i | \(-0.183599\pi\) |
−0.891385 | + | 0.453246i | \(0.850266\pi\) | |||||||
\(500\) | −7.57895e8 | + | 1.31271e9i | −0.271153 | + | 0.469650i | ||||
\(501\) | 8.56238e8 | − | 1.48305e9i | 0.304202 | − | 0.526893i | ||||
\(502\) | −1.39591e8 | − | 2.41779e8i | −0.0492487 | − | 0.0853013i | ||||
\(503\) | 2.51431e9 | 0.880909 | 0.440454 | − | 0.897775i | \(-0.354817\pi\) | ||||
0.440454 | + | 0.897775i | \(0.354817\pi\) | |||||||
\(504\) | −9.68943e7 | + | 8.07850e8i | −0.0337125 | + | 0.281076i | ||||
\(505\) | −1.60397e9 | −0.554213 | ||||||||
\(506\) | 6.82201e8 | + | 1.18161e9i | 0.234091 | + | 0.405458i | ||||
\(507\) | −1.75924e8 | + | 3.04709e8i | −0.0599510 | + | 0.103838i | ||||
\(508\) | 5.50657e8 | − | 9.53765e8i | 0.186362 | − | 0.322789i | ||||
\(509\) | 1.11783e9 | + | 1.93615e9i | 0.375721 | + | 0.650767i | 0.990435 | − | 0.137983i | \(-0.0440619\pi\) |
−0.614714 | + | 0.788750i | \(0.710729\pi\) | |||||||
\(510\) | 4.02311e8 | 0.134297 | ||||||||
\(511\) | 2.73128e9 | − | 1.16840e9i | 0.905511 | − | 0.387365i | ||||
\(512\) | 1.34218e8 | 0.0441942 | ||||||||
\(513\) | −3.55461e8 | − | 6.15676e8i | −0.116247 | − | 0.201345i | ||||
\(514\) | 2.37427e8 | − | 4.11236e8i | 0.0771188 | − | 0.133574i | ||||
\(515\) | 2.00033e9 | − | 3.46468e9i | 0.645323 | − | 1.11773i | ||||
\(516\) | −2.82543e8 | − | 4.89378e8i | −0.0905336 | − | 0.156809i | ||||
\(517\) | −3.11225e9 | −0.990506 | ||||||||
\(518\) | −3.28209e9 | + | 1.40403e9i | −1.03752 | + | 0.443837i | ||||
\(519\) | −1.41796e9 | −0.445223 | ||||||||
\(520\) | −4.95073e8 | − | 8.57492e8i | −0.154404 | − | 0.267435i | ||||
\(521\) | −1.59740e9 | + | 2.76677e9i | −0.494858 | + | 0.857120i | −0.999982 | − | 0.00592705i | \(-0.998113\pi\) |
0.505124 | + | 0.863047i | \(0.331447\pi\) | |||||||
\(522\) | 9.02434e8 | − | 1.56306e9i | 0.277695 | − | 0.480982i | ||||
\(523\) | 4.70741e8 | + | 8.15348e8i | 0.143889 | + | 0.249222i | 0.928958 | − | 0.370186i | \(-0.120706\pi\) |
−0.785069 | + | 0.619408i | \(0.787373\pi\) | |||||||
\(524\) | 1.72330e9 | 0.523242 | ||||||||
\(525\) | −7.02646e7 | + | 5.85827e8i | −0.0211923 | + | 0.176690i | ||||
\(526\) | −1.70197e8 | −0.0509919 | ||||||||
\(527\) | −1.13404e9 | − | 1.96422e9i | −0.337514 | − | 0.584592i | ||||
\(528\) | −1.10392e8 | + | 1.91205e8i | −0.0326377 | + | 0.0565302i | ||||
\(529\) | −4.79361e8 | + | 8.30278e8i | −0.140789 | + | 0.243853i | ||||
\(530\) | −1.10369e9 | − | 1.91164e9i | −0.322018 | − | 0.557751i | ||||
\(531\) | −2.94341e9 | −0.853140 | ||||||||
\(532\) | −4.01921e8 | − | 3.01107e8i | −0.115731 | − | 0.0867023i | ||||
\(533\) | 5.56100e9 | 1.59077 | ||||||||
\(534\) | −2.00389e8 | − | 3.47083e8i | −0.0569480 | − | 0.0986369i | ||||
\(535\) | −5.41230e8 | + | 9.37438e8i | −0.152807 | + | 0.264670i | ||||
\(536\) | 8.57428e8 | − | 1.48511e9i | 0.240503 | − | 0.416564i | ||||
\(537\) | 6.36547e8 | + | 1.10253e9i | 0.177387 | + | 0.307242i | ||||
\(538\) | 9.36846e8 | 0.259376 | ||||||||
\(539\) | −2.06596e9 | − | 5.02820e8i | −0.568279 | − | 0.138309i | ||||
\(540\) | 1.14055e9 | 0.311700 | ||||||||
\(541\) | −1.93667e9 | − | 3.35441e9i | −0.525854 | − | 0.910806i | −0.999546 | − | 0.0301159i | \(-0.990412\pi\) |
0.473692 | − | 0.880691i | \(-0.342921\pi\) | |||||||
\(542\) | 8.11077e8 | − | 1.40483e9i | 0.218809 | − | 0.378988i | ||||
\(543\) | 1.60645e9 | − | 2.78246e9i | 0.430595 | − | 0.745813i | ||||
\(544\) | 1.82073e8 | + | 3.15360e8i | 0.0484898 | + | 0.0839868i | ||||
\(545\) | −4.05050e9 | −1.07182 | ||||||||
\(546\) | −1.08226e9 | − | 8.10799e8i | −0.284550 | − | 0.213176i | ||||
\(547\) | −1.92865e9 | −0.503845 | −0.251922 | − | 0.967747i | \(-0.581063\pi\) | ||||
−0.251922 | + | 0.967747i | \(0.581063\pi\) | |||||||
\(548\) | 8.72326e8 | + | 1.51091e9i | 0.226437 | + | 0.392200i | ||||
\(549\) | 1.85844e9 | − | 3.21890e9i | 0.479341 | − | 0.830242i | ||||
\(550\) | 3.21621e8 | − | 5.57063e8i | 0.0824279 | − | 0.142769i | ||||
\(551\) | 5.57007e8 | + | 9.64765e8i | 0.141850 | + | 0.245692i | ||||
\(552\) | −7.06100e8 | −0.178681 | ||||||||
\(553\) | −4.53724e8 | + | 3.78290e9i | −0.114092 | + | 0.951232i | ||||
\(554\) | 8.09210e8 | 0.202198 | ||||||||
\(555\) | 1.11256e9 | + | 1.92702e9i | 0.276248 | + | 0.478476i | ||||
\(556\) | 4.37802e8 | − | 7.58295e8i | 0.108023 | − | 0.187101i | ||||
\(557\) | −1.65798e9 | + | 2.87170e9i | −0.406524 | + | 0.704120i | −0.994498 | − | 0.104760i | \(-0.966593\pi\) |
0.587974 | + | 0.808880i | \(0.299926\pi\) | |||||||
\(558\) | −1.42959e9 | − | 2.47613e9i | −0.348331 | − | 0.603327i | ||||
\(559\) | −3.77327e9 | −0.913644 | ||||||||
\(560\) | 7.40763e8 | − | 3.16888e8i | 0.178247 | − | 0.0762514i | ||||
\(561\) | −5.99012e8 | −0.143240 | ||||||||
\(562\) | −1.47852e9 | − | 2.56088e9i | −0.351359 | − | 0.608572i | ||||
\(563\) | 9.36100e8 | − | 1.62137e9i | 0.221077 | − | 0.382916i | −0.734059 | − | 0.679086i | \(-0.762376\pi\) |
0.955135 | + | 0.296170i | \(0.0957096\pi\) | |||||||
\(564\) | 8.05319e8 | − | 1.39485e9i | 0.189013 | − | 0.327380i | ||||
\(565\) | 2.70438e9 | + | 4.68413e9i | 0.630810 | + | 1.09259i | ||||
\(566\) | −1.75729e9 | −0.407367 | ||||||||
\(567\) | −1.76319e9 | + | 7.54266e8i | −0.406216 | + | 0.173774i | ||||
\(568\) | 1.27620e9 | 0.292213 | ||||||||
\(569\) | 3.17886e8 | + | 5.50595e8i | 0.0723400 | + | 0.125297i | 0.899926 | − | 0.436042i | \(-0.143620\pi\) |
−0.827586 | + | 0.561338i | \(0.810287\pi\) | |||||||
\(570\) | −1.56516e8 | + | 2.71095e8i | −0.0353996 | + | 0.0613139i | ||||
\(571\) | −2.85689e9 | + | 4.94828e9i | −0.642196 | + | 1.11232i | 0.342746 | + | 0.939428i | \(0.388643\pi\) |
−0.984942 | + | 0.172887i | \(0.944690\pi\) | |||||||
\(572\) | 7.37128e8 | + | 1.27674e9i | 0.164686 | + | 0.285245i | ||||
\(573\) | 4.70171e8 | 0.104403 | ||||||||
\(574\) | −5.38878e8 | + | 4.49287e9i | −0.118932 | + | 0.991590i | ||||
\(575\) | 2.05718e9 | 0.451267 | ||||||||
\(576\) | 2.29525e8 | + | 3.97548e8i | 0.0500438 | + | 0.0866785i | ||||
\(577\) | 3.17926e9 | − | 5.50664e9i | 0.688986 | − | 1.19336i | −0.283180 | − | 0.959067i | \(-0.591389\pi\) |
0.972166 | − | 0.234292i | \(-0.0752773\pi\) | |||||||
\(578\) | 1.14737e9 | − | 1.98730e9i | 0.247148 | − | 0.428072i | ||||
\(579\) | 1.41211e9 | + | 2.44584e9i | 0.302338 | + | 0.523665i | ||||
\(580\) | −1.78725e9 | −0.380353 | ||||||||
\(581\) | 2.43688e9 | + | 1.82564e9i | 0.515487 | + | 0.386187i | ||||
\(582\) | 7.54102e8 | 0.158562 | ||||||||
\(583\) | 1.64331e9 | + | 2.84629e9i | 0.343462 | + | 0.594894i | ||||
\(584\) | 8.38023e8 | − | 1.45150e9i | 0.174105 | − | 0.301559i | ||||
\(585\) | 1.69324e9 | − | 2.93278e9i | 0.349682 | − | 0.605667i | ||||
\(586\) | 2.88892e9 | + | 5.00376e9i | 0.593054 | + | 1.02720i | ||||
\(587\) | 7.71077e8 | 0.157349 | 0.0786745 | − | 0.996900i | \(-0.474931\pi\) | ||||
0.0786745 | + | 0.996900i | \(0.474931\pi\) | |||||||
\(588\) | 7.59940e8 | − | 7.95819e8i | 0.154155 | − | 0.161433i | ||||
\(589\) | 1.76477e9 | 0.355864 | ||||||||
\(590\) | 1.45734e9 | + | 2.52418e9i | 0.292131 | + | 0.505986i | ||||
\(591\) | 9.35550e8 | − | 1.62042e9i | 0.186428 | − | 0.322903i | ||||
\(592\) | −1.00702e9 | + | 1.74422e9i | −0.199487 | + | 0.345521i | ||||
\(593\) | −3.20093e9 | − | 5.54417e9i | −0.630354 | − | 1.09181i | −0.987479 | − | 0.157749i | \(-0.949576\pi\) |
0.357125 | − | 0.934057i | \(-0.383757\pi\) | |||||||
\(594\) | −1.69820e9 | −0.332458 | ||||||||
\(595\) | 1.74945e9 | + | 1.31063e9i | 0.340480 | + | 0.255078i | ||||
\(596\) | 1.56089e9 | 0.302002 | ||||||||
\(597\) | 5.73516e8 | + | 9.93359e8i | 0.110315 | + | 0.191072i | ||||
\(598\) | −2.35744e9 | + | 4.08321e9i | −0.450803 | + | 0.780813i | ||||
\(599\) | 6.60575e8 | − | 1.14415e9i | 0.125582 | − | 0.217515i | −0.796378 | − | 0.604799i | \(-0.793253\pi\) |
0.921960 | + | 0.387284i | \(0.126587\pi\) | |||||||
\(600\) | 1.66444e8 | + | 2.88289e8i | 0.0314585 | + | 0.0544878i | ||||
\(601\) | −2.93204e9 | −0.550947 | −0.275474 | − | 0.961309i | \(-0.588835\pi\) | ||||
−0.275474 | + | 0.961309i | \(0.588835\pi\) | |||||||
\(602\) | 3.65642e8 | − | 3.04852e9i | 0.0683075 | − | 0.569510i | ||||
\(603\) | 5.86512e9 | 1.08935 | ||||||||
\(604\) | −1.08169e9 | − | 1.87353e9i | −0.199743 | − | 0.345965i | ||||
\(605\) | −1.38953e9 | + | 2.40673e9i | −0.255107 | + | 0.441859i | ||||
\(606\) | −6.17966e8 | + | 1.07035e9i | −0.112800 | + | 0.195376i | ||||
\(607\) | 2.76216e9 | + | 4.78420e9i | 0.501289 | + | 0.868258i | 0.999999 | + | 0.00148902i | \(0.000473971\pi\) |
−0.498710 | + | 0.866769i | \(0.666193\pi\) | |||||||
\(608\) | −2.83338e8 | −0.0511261 | ||||||||
\(609\) | −2.24421e9 | + | 9.60040e8i | −0.402626 | + | 0.172238i | ||||
\(610\) | −3.68058e9 | −0.656542 | ||||||||
\(611\) | −5.37740e9 | − | 9.31393e9i | −0.953736 | − | 1.65192i | ||||
\(612\) | −6.22724e8 | + | 1.07859e9i | −0.109816 | + | 0.190207i | ||||
\(613\) | 3.14956e9 | − | 5.45520e9i | 0.552253 | − | 0.956530i | −0.445858 | − | 0.895103i | \(-0.647102\pi\) |
0.998112 | − | 0.0614270i | \(-0.0195651\pi\) | |||||||
\(614\) | 2.55818e8 | + | 4.43090e8i | 0.0446007 | + | 0.0772507i | ||||
\(615\) | 2.82057e9 | 0.488961 | ||||||||
\(616\) | −1.10294e9 | + | 4.71824e8i | −0.190117 | + | 0.0813293i | ||||
\(617\) | −4.76835e9 | −0.817278 | −0.408639 | − | 0.912696i | \(-0.633996\pi\) | ||||
−0.408639 | + | 0.912696i | \(0.633996\pi\) | |||||||
\(618\) | −1.54134e9 | − | 2.66969e9i | −0.262688 | − | 0.454989i | ||||
\(619\) | −3.93891e8 | + | 6.82239e8i | −0.0667511 | + | 0.115616i | −0.897469 | − | 0.441077i | \(-0.854597\pi\) |
0.830718 | + | 0.556693i | \(0.187930\pi\) | |||||||
\(620\) | −1.41564e9 | + | 2.45195e9i | −0.238551 | + | 0.413182i | ||||
\(621\) | −2.71554e9 | − | 4.70346e9i | −0.455026 | − | 0.788128i | ||||
\(622\) | 1.23715e9 | 0.206136 | ||||||||
\(623\) | 2.59326e8 | − | 2.16211e9i | 0.0429672 | − | 0.358237i | ||||
\(624\) | −7.62952e8 | −0.125705 | ||||||||
\(625\) | 1.35034e9 | + | 2.33885e9i | 0.221239 | + | 0.383197i | ||||
\(626\) | 1.97594e9 | − | 3.42242e9i | 0.321931 | − | 0.557601i | ||||
\(627\) | 2.33042e8 | − | 4.03640e8i | 0.0377570 | − | 0.0653970i | ||||
\(628\) | −2.54613e8 | − | 4.41003e8i | −0.0410225 | − | 0.0710531i | ||||
\(629\) | −5.46432e9 | −0.875506 | ||||||||
\(630\) | 2.20538e9 | + | 1.65221e9i | 0.351392 | + | 0.263253i | ||||
\(631\) | −9.52407e9 | −1.50911 | −0.754553 | − | 0.656239i | \(-0.772146\pi\) | ||||
−0.754553 | + | 0.656239i | \(0.772146\pi\) | |||||||
\(632\) | 1.07479e9 | + | 1.86159e9i | 0.169361 | + | 0.293342i | ||||
\(633\) | 1.30003e9 | − | 2.25171e9i | 0.203723 | − | 0.352858i | ||||
\(634\) | −1.71975e9 | + | 2.97870e9i | −0.268012 | + | 0.464210i | ||||
\(635\) | −1.86496e9 | − | 3.23021e9i | −0.289042 | − | 0.500636i | ||||
\(636\) | −1.70088e9 | −0.262164 | ||||||||
\(637\) | −2.06484e9 | − | 7.05153e9i | −0.316517 | − | 1.08092i | ||||
\(638\) | 2.66108e9 | 0.405682 | ||||||||
\(639\) | 2.18242e9 | + | 3.78006e9i | 0.330891 | + | 0.573120i | ||||
\(640\) | 2.27284e8 | − | 3.93667e8i | 0.0342719 | − | 0.0593607i | ||||
\(641\) | 1.32160e9 | − | 2.28909e9i | 0.198198 | − | 0.343288i | −0.749746 | − | 0.661725i | \(-0.769825\pi\) |
0.947944 | + | 0.318437i | \(0.103158\pi\) | |||||||
\(642\) | 4.17042e8 | + | 7.22338e8i | 0.0622024 | + | 0.107738i | ||||
\(643\) | 7.78643e9 | 1.15505 | 0.577524 | − | 0.816374i | \(-0.304019\pi\) | ||||
0.577524 | + | 0.816374i | \(0.304019\pi\) | |||||||
\(644\) | −3.07048e9 | − | 2.30031e9i | −0.453008 | − | 0.339380i | ||||
\(645\) | −1.91383e9 | −0.280830 | ||||||||
\(646\) | −3.84363e8 | − | 6.65736e8i | −0.0560955 | − | 0.0971602i | ||||
\(647\) | −4.77250e9 | + | 8.26622e9i | −0.692757 | + | 1.19989i | 0.278173 | + | 0.960531i | \(0.410271\pi\) |
−0.970931 | + | 0.239360i | \(0.923062\pi\) | |||||||
\(648\) | −5.40988e8 | + | 9.37018e8i | −0.0781043 | + | 0.135281i | ||||
\(649\) | −2.16987e9 | − | 3.75833e9i | −0.311586 | − | 0.539682i | ||||
\(650\) | 2.22281e9 | 0.317472 | ||||||||
\(651\) | −4.60487e8 | + | 3.83929e9i | −0.0654161 | + | 0.545403i | ||||
\(652\) | −3.43314e9 | −0.485093 | ||||||||
\(653\) | 5.15813e8 | + | 8.93414e8i | 0.0724930 | + | 0.125562i | 0.899993 | − | 0.435904i | \(-0.143571\pi\) |
−0.827500 | + | 0.561465i | \(0.810238\pi\) | |||||||
\(654\) | −1.56054e9 | + | 2.70294e9i | −0.218149 | + | 0.377846i | ||||
\(655\) | 2.91824e9 | − | 5.05453e9i | 0.405766 | − | 0.702808i | ||||
\(656\) | 1.27650e9 | + | 2.21097e9i | 0.176546 | + | 0.305787i | ||||
\(657\) | 5.73239e9 | 0.788600 | ||||||||
\(658\) | 8.04604e9 | − | 3.44198e9i | 1.10101 | − | 0.470997i | ||||
\(659\) | 9.97213e9 | 1.35734 | 0.678671 | − | 0.734443i | \(-0.262556\pi\) | ||||
0.678671 | + | 0.734443i | \(0.262556\pi\) | |||||||
\(660\) | 3.73876e8 | + | 6.47572e8i | 0.0506202 | + | 0.0876767i | ||||
\(661\) | −4.39852e9 | + | 7.61845e9i | −0.592381 | + | 1.02603i | 0.401530 | + | 0.915846i | \(0.368479\pi\) |
−0.993911 | + | 0.110188i | \(0.964855\pi\) | |||||||
\(662\) | 1.31268e9 | − | 2.27362e9i | 0.175855 | − | 0.304590i | ||||
\(663\) | −1.03498e9 | − | 1.79264e9i | −0.137923 | − | 0.238889i | ||||
\(664\) | 1.71790e9 | 0.227724 | ||||||||
\(665\) | −1.56378e9 | + | 6.68961e8i | −0.206205 | + | 0.0882115i | ||||
\(666\) | −6.88842e9 | −0.903565 | ||||||||
\(667\) | 4.25526e9 | + | 7.37032e9i | 0.555246 | + | 0.961714i | ||||
\(668\) | 2.62481e9 | − | 4.54630e9i | 0.340706 | − | 0.590121i | ||||
\(669\) | −2.97987e9 | + | 5.16129e9i | −0.384774 | + | 0.666449i | ||||
\(670\) | −2.90393e9 | − | 5.02975e9i | −0.373013 | − | 0.646078i | ||||
\(671\) | 5.48012e9 | 0.700264 | ||||||||
\(672\) | 7.39324e7 | − | 6.16407e8i | 0.00939815 | − | 0.0783566i | ||||
\(673\) | 7.42386e9 | 0.938808 | 0.469404 | − | 0.882983i | \(-0.344469\pi\) | ||||
0.469404 | + | 0.882983i | \(0.344469\pi\) | |||||||
\(674\) | 4.57636e8 | + | 7.92648e8i | 0.0575719 | + | 0.0997174i | ||||
\(675\) | −1.28023e9 | + | 2.21743e9i | −0.160223 | + | 0.277515i | ||||
\(676\) | −5.39297e8 | + | 9.34090e8i | −0.0671451 | + | 0.116299i | ||||
\(677\) | 5.72981e8 | + | 9.92432e8i | 0.0709708 | + | 0.122925i | 0.899327 | − | 0.437277i | \(-0.144057\pi\) |
−0.828356 | + | 0.560202i | \(0.810724\pi\) | |||||||
\(678\) | 4.16769e9 | 0.513561 | ||||||||
\(679\) | 3.27921e9 | + | 2.45669e9i | 0.402000 | + | 0.301166i | ||||
\(680\) | 1.23329e9 | 0.150413 | ||||||||
\(681\) | −7.03863e8 | − | 1.21913e9i | −0.0854030 | − | 0.147922i | ||||
\(682\) | 2.10778e9 | − | 3.65078e9i | 0.254437 | − | 0.440697i | ||||
\(683\) | −5.29365e9 | + | 9.16887e9i | −0.635745 | + | 1.10114i | 0.350612 | + | 0.936521i | \(0.385974\pi\) |
−0.986357 | + | 0.164621i | \(0.947360\pi\) | |||||||
\(684\) | −4.84534e8 | − | 8.39238e8i | −0.0578933 | − | 0.100274i | ||||
\(685\) | 5.90877e9 | 0.702393 | ||||||||
\(686\) | 5.89719e9 | − | 9.84915e8i | 0.697446 | − | 0.116484i | ||||
\(687\) | 1.49674e9 | 0.176115 | ||||||||
\(688\) | −8.66139e8 | − | 1.50020e9i | −0.101398 | − | 0.175626i | ||||
\(689\) | −5.67868e9 | + | 9.83576e9i | −0.661424 | + | 1.14562i | ||||
\(690\) | −1.19571e9 | + | 2.07103e9i | −0.138565 | + | 0.240001i | ||||
\(691\) | −3.78065e9 | − | 6.54827e9i | −0.435906 | − | 0.755011i | 0.561463 | − | 0.827502i | \(-0.310239\pi\) |
−0.997369 | + | 0.0724904i | \(0.976905\pi\) | |||||||
\(692\) | −4.34678e9 | −0.498650 | ||||||||
\(693\) | −3.28366e9 | − | 2.46002e9i | −0.374793 | − | 0.280784i | ||||
\(694\) | −5.25342e9 | −0.596601 | ||||||||
\(695\) | −1.48275e9 | − | 2.56819e9i | −0.167540 | − | 0.290189i | ||||
\(696\) | −6.88576e8 | + | 1.19265e9i | −0.0774141 | + | 0.134085i | ||||
\(697\) | −3.46329e9 | + | 5.99859e9i | −0.387413 | + | 0.671018i | ||||
\(698\) | 3.54398e9 | + | 6.13835e9i | 0.394454 | + | 0.683215i | ||||
\(699\) | 4.55087e7 | 0.00503992 | ||||||||
\(700\) | −2.15397e8 | + | 1.79586e9i | −0.0237354 | + | 0.197893i | ||||
\(701\) | −1.31100e10 | −1.43744 | −0.718719 | − | 0.695301i | \(-0.755271\pi\) | ||||
−0.718719 | + | 0.695301i | \(0.755271\pi\) | |||||||
\(702\) | −2.93419e9 | − | 5.08216e9i | −0.320116 | − | 0.554458i | ||||
\(703\) | 2.12586e9 | − | 3.68210e9i | 0.230776 | − | 0.399716i | ||||
\(704\) | −3.38409e8 | + | 5.86142e8i | −0.0365543 | + | 0.0633138i | ||||
\(705\) | −2.72745e9 | − | 4.72408e9i | −0.293153 | − | 0.507756i | ||||
\(706\) | 5.49919e9 | 0.588142 | ||||||||
\(707\) | −6.17417e9 | + | 2.64122e9i | −0.657069 | + | 0.281085i | ||||
\(708\) | 2.24589e9 | 0.237833 | ||||||||
\(709\) | −1.55398e8 | − | 2.69157e8i | −0.0163750 | − | 0.0283624i | 0.857722 | − | 0.514114i | \(-0.171879\pi\) |
−0.874097 | + | 0.485752i | \(0.838546\pi\) | |||||||
\(710\) | 2.16111e9 | − | 3.74315e9i | 0.226607 | − | 0.392494i | ||||
\(711\) | −3.67597e9 | + | 6.36697e9i | −0.383556 | + | 0.664338i | ||||
\(712\) | −6.14295e8 | − | 1.06399e9i | −0.0637818 | − | 0.110473i | ||||
\(713\) | 1.34819e10 | 1.39296 | ||||||||
\(714\) | 1.54861e9 | − | 6.62476e8i | 0.159221 | − | 0.0681124i | ||||
\(715\) | 4.99300e9 | 0.510847 | ||||||||
\(716\) | 1.95135e9 | + | 3.37983e9i | 0.198673 | + | 0.344112i | ||||
\(717\) | 1.95341e9 | − | 3.38340e9i | 0.197914 | − | 0.342797i | ||||
\(718\) | −1.28977e8 | + | 2.23395e8i | −0.0130040 | + | 0.0225237i | ||||
\(719\) | −2.09243e9 | − | 3.62420e9i | −0.209943 | − | 0.363631i | 0.741754 | − | 0.670673i | \(-0.233994\pi\) |
−0.951696 | + | 0.307041i | \(0.900661\pi\) | |||||||
\(720\) | 1.55471e9 | 0.155233 | ||||||||
\(721\) | 1.99468e9 | − | 1.66305e10i | 0.198198 | − | 1.65246i | ||||
\(722\) | −6.55284e9 | −0.647962 | ||||||||
\(723\) | 1.30828e9 | + | 2.26601e9i | 0.128741 | + | 0.222986i | ||||
\(724\) | 4.92461e9 | − | 8.52968e9i | 0.482266 | − | 0.835310i | ||||
\(725\) | 2.00612e9 | − | 3.47471e9i | 0.195512 | − | 0.338637i | ||||
\(726\) | 1.07069e9 | + | 1.85449e9i | 0.103845 | + | 0.179865i | ||||
\(727\) | −9.54370e9 | −0.921184 | −0.460592 | − | 0.887612i | \(-0.652363\pi\) | ||||
−0.460592 | + | 0.887612i | \(0.652363\pi\) | |||||||
\(728\) | −3.31770e9 | − | 2.48552e9i | −0.318696 | − | 0.238758i | ||||
\(729\) | 5.34261e7 | 0.00510749 | ||||||||
\(730\) | −2.83821e9 | − | 4.91593e9i | −0.270032 | − | 0.467709i | ||||
\(731\) | 2.34993e9 | − | 4.07019e9i | 0.222507 | − | 0.385393i | ||||
\(732\) | −1.41803e9 | + | 2.45609e9i | −0.133627 | + | 0.231449i | ||||
\(733\) | −5.03140e9 | − | 8.71464e9i | −0.471873 | − | 0.817307i | 0.527609 | − | 0.849487i | \(-0.323088\pi\) |
−0.999482 | + | 0.0321796i | \(0.989755\pi\) | |||||||
\(734\) | −5.73240e9 | −0.535057 | ||||||||
\(735\) | −1.04730e9 | − | 3.57658e9i | −0.0972891 | − | 0.332248i | ||||
\(736\) | −2.16456e9 | −0.200123 | ||||||||
\(737\) | 4.32374e9 | + | 7.48894e9i | 0.397854 | + | 0.689103i | ||||
\(738\) | −4.36588e9 | + | 7.56192e9i | −0.399829 | + | 0.692524i | ||||
\(739\) | 3.54880e9 | − | 6.14670e9i | 0.323464 | − | 0.560256i | −0.657736 | − | 0.753248i | \(-0.728486\pi\) |
0.981200 | + | 0.192992i | \(0.0618193\pi\) | |||||||
\(740\) | 3.41058e9 | + | 5.90730e9i | 0.309398 | + | 0.535893i | ||||
\(741\) | 1.61062e9 | 0.145421 | ||||||||
\(742\) | −7.39627e9 | − | 5.54106e9i | −0.664659 | − | 0.497943i | ||||
\(743\) | 3.16400e8 | 0.0282993 | 0.0141497 | − | 0.999900i | \(-0.495496\pi\) | ||||
0.0141497 | + | 0.999900i | \(0.495496\pi\) | |||||||
\(744\) | 1.09081e9 | + | 1.88934e9i | 0.0971055 | + | 0.168192i | ||||
\(745\) | 2.64320e9 | − | 4.57816e9i | 0.234198 | − | 0.405643i | ||||
\(746\) | −4.88907e9 | + | 8.46812e9i | −0.431162 | + | 0.746794i | ||||
\(747\) | 2.93777e9 | + | 5.08836e9i | 0.257867 | + | 0.446638i | ||||
\(748\) | −1.83628e9 | −0.160429 | ||||||||
\(749\) | −5.39699e8 | + | 4.49971e9i | −0.0469316 | + | 0.391290i | ||||
\(750\) | 3.95572e9 | 0.342382 | ||||||||
\(751\) | −3.22967e9 | − | 5.59396e9i | −0.278240 | − | 0.481925i | 0.692708 | − | 0.721218i | \(-0.256418\pi\) |
−0.970947 | + | 0.239293i | \(0.923084\pi\) | |||||||
\(752\) | 2.46872e9 | − | 4.27594e9i | 0.211694 | − | 0.366665i | ||||
\(753\) | −3.64287e8 | + | 6.30964e8i | −0.0310929 | + | 0.0538545i | ||||
\(754\) | 4.59787e9 | + | 7.96374e9i | 0.390622 | + | 0.676577i | ||||
\(755\) | −7.32689e9 | −0.619591 | ||||||||
\(756\) | 4.39033e9 | − | 1.87812e9i | 0.369548 | − | 0.158088i | ||||
\(757\) | 1.07167e10 | 0.897892 | 0.448946 | − | 0.893559i | \(-0.351800\pi\) | ||||
0.448946 | + | 0.893559i | \(0.351800\pi\) | |||||||
\(758\) | 2.73319e9 | + | 4.73403e9i | 0.227944 | + | 0.394810i | ||||
\(759\) | 1.78032e9 | − | 3.08361e9i | 0.147793 | − | 0.255984i | ||||
\(760\) | −4.79804e8 | + | 8.31045e8i | −0.0396475 | + | 0.0686715i | ||||
\(761\) | 4.51415e9 | + | 7.81874e9i | 0.371304 | + | 0.643117i | 0.989766 | − | 0.142697i | \(-0.0455774\pi\) |
−0.618462 | + | 0.785814i | \(0.712244\pi\) | |||||||
\(762\) | −2.87407e9 | −0.235318 | ||||||||
\(763\) | −1.55916e10 | + | 6.66987e9i | −1.27073 | + | 0.543602i | ||||
\(764\) | 1.44132e9 | 0.116932 | ||||||||
\(765\) | 2.10904e9 | + | 3.65296e9i | 0.170322 | + | 0.295006i | ||||
\(766\) | −8.10353e9 | + | 1.40357e10i | −0.651439 | + | 1.12832i | ||||
\(767\) | 7.49829e9 | − | 1.29874e10i | 0.600038 | − | 1.03930i | ||||
\(768\) | −1.75132e8 | − | 3.03338e8i | −0.0139509 | − | 0.0241637i | ||||
\(769\) | 8.30919e9 | 0.658895 | 0.329448 | − | 0.944174i | \(-0.393137\pi\) | ||||
0.329448 | + | 0.944174i | \(0.393137\pi\) | |||||||
\(770\) | −4.83838e8 | + | 4.03397e9i | −0.0381929 | + | 0.318431i | ||||
\(771\) | −1.23922e9 | −0.0973771 | ||||||||
\(772\) | 4.32884e9 | + | 7.49777e9i | 0.338619 | + | 0.586505i | ||||
\(773\) | −5.63091e9 | + | 9.75302e9i | −0.438480 | + | 0.759470i | −0.997573 | − | 0.0696352i | \(-0.977816\pi\) |
0.559092 | + | 0.829106i | \(0.311150\pi\) | |||||||
\(774\) | 2.96235e9 | − | 5.13095e9i | 0.229638 | − | 0.397745i | ||||
\(775\) | −3.17800e9 | − | 5.50446e9i | −0.245244 | − | 0.424775i | ||||
\(776\) | 2.31171e9 | 0.177590 | ||||||||
\(777\) | 7.45577e9 | + | 5.58564e9i | 0.570189 | + | 0.427168i | ||||
\(778\) | −5.83209e9 | −0.444013 | ||||||||
\(779\) | −2.69474e9 | − | 4.66743e9i | −0.204238 | − | 0.353750i | ||||
\(780\) | −1.29198e9 | + | 2.23778e9i | −0.0974821 | + | 0.168844i | ||||
\(781\) | −3.21774e9 | + | 5.57328e9i | −0.241697 | + | 0.418632i | ||||
\(782\) | −2.93634e9 | − | 5.08589e9i | −0.219575 | − | 0.380315i | ||||
\(783\) | −1.05926e10 | −0.788563 | ||||||||
\(784\) | 2.32961e9 | − | 2.43960e9i | 0.172654 | − | 0.180805i | ||||
\(785\) | −1.72465e9 | −0.127249 | ||||||||
\(786\) | −2.24863e9 | − | 3.89474e9i | −0.165173 | − | 0.286088i | ||||
\(787\) | 1.11102e10 | − | 1.92434e10i | 0.812475 | − | 1.40725i | −0.0986511 | − | 0.995122i | \(-0.531453\pi\) |
0.911127 | − | 0.412127i | \(-0.135214\pi\) | |||||||
\(788\) | 2.86794e9 | − | 4.96743e9i | 0.208799 | − | 0.361651i | ||||
\(789\) | 2.22079e8 | + | 3.84652e8i | 0.0160968 | + | 0.0278804i | ||||
\(790\) | 7.28017e9 | 0.525348 | ||||||||
\(791\) | 1.81232e10 | + | 1.35774e10i | 1.30202 | + | 0.975434i | ||||
\(792\) | −2.31484e9 | −0.165571 | ||||||||
\(793\) | 9.46866e9 | + | 1.64002e10i | 0.674268 | + | 1.16787i | ||||
\(794\) | 5.31069e9 | − | 9.19839e9i | 0.376512 | − | 0.652139i | ||||
\(795\) | −2.88026e9 | + | 4.98876e9i | −0.203304 | + | 0.352133i | ||||
\(796\) | 1.75812e9 | + | 3.04516e9i | 0.123553 | + | 0.214000i | ||||
\(797\) | −6.49195e9 | −0.454225 | −0.227113 | − | 0.973868i | \(-0.572929\pi\) | ||||
−0.227113 | + | 0.973868i | \(0.572929\pi\) | |||||||
\(798\) | −1.56074e8 | + | 1.30126e9i | −0.0108723 | + | 0.0906469i | ||||
\(799\) | 1.33958e10 | 0.929082 | ||||||||
\(800\) | 5.10236e8 | + | 8.83755e8i | 0.0352336 | + | 0.0610263i | ||||
\(801\) | 2.10100e9 | − | 3.63904e9i | 0.144448 | − | 0.250192i | ||||
\(802\) | 3.43180e9 | − | 5.94405e9i | 0.234916 | − | 0.406886i | ||||
\(803\) | 4.22589e9 | + | 7.31946e9i | 0.288014 | + | 0.498855i | ||||
\(804\) | −4.47521e9 | −0.303681 | ||||||||
\(805\) | −1.19465e10 | + | 5.11053e9i | −0.807149 | + | 0.345287i | ||||
\(806\) | 1.45674e10 | 0.979966 | ||||||||
\(807\) | −1.22243e9 | − | 2.11731e9i | −0.0818780 | − | 0.141817i | ||||
\(808\) | −1.89438e9 | + | 3.28117e9i | −0.126336 | + | 0.218821i | ||||
\(809\) | 5.80562e9 | − | 1.00556e10i | 0.385504 | − | 0.667712i | −0.606335 | − | 0.795209i | \(-0.707361\pi\) |
0.991839 | + | 0.127497i | \(0.0406944\pi\) | |||||||
\(810\) | 1.83221e9 | + | 3.17349e9i | 0.121137 | + | 0.209816i | ||||
\(811\) | −1.72427e10 | −1.13510 | −0.567548 | − | 0.823340i | \(-0.692108\pi\) | ||||
−0.567548 | + | 0.823340i | \(0.692108\pi\) | |||||||
\(812\) | −6.87965e9 | + | 2.94302e9i | −0.450942 | + | 0.192907i | ||||
\(813\) | −4.23329e9 | −0.276288 | ||||||||
\(814\) | −5.07811e9 | − | 8.79555e9i | −0.330002 | − | 0.571581i | ||||
\(815\) | −5.81366e9 | + | 1.00696e10i | −0.376182 | + | 0.651567i | ||||
\(816\) | 4.75152e8 | − | 8.22988e8i | 0.0306138 | − | 0.0530247i | ||||
\(817\) | 1.82845e9 | + | 3.16696e9i | 0.117302 | + | 0.203173i | ||||
\(818\) | −1.68213e10 | −1.07454 | ||||||||
\(819\) | 1.68845e9 | − | 1.40774e10i | 0.107398 | − | 0.895423i | ||||
\(820\) | 8.64651e9 | 0.547636 | ||||||||
\(821\) | −7.15770e9 | − | 1.23975e10i | −0.451412 | − | 0.781868i | 0.547062 | − | 0.837092i | \(-0.315746\pi\) |
−0.998474 | + | 0.0552240i | \(0.982413\pi\) | |||||||
\(822\) | 2.27649e9 | − | 3.94299e9i | 0.142960 | − | 0.247613i | ||||
\(823\) | 2.33905e9 | − | 4.05135e9i | 0.146265 | − | 0.253338i | −0.783579 | − | 0.621292i | \(-0.786608\pi\) |
0.929844 | + | 0.367954i | \(0.119941\pi\) | |||||||
\(824\) | −4.72502e9 | − | 8.18397e9i | −0.294211 | − | 0.509588i | ||||
\(825\) | −1.67865e9 | −0.104081 | ||||||||
\(826\) | 9.76625e9 | + | 7.31657e9i | 0.602972 | + | 0.451729i | ||||
\(827\) | −1.01540e10 | −0.624264 | −0.312132 | − | 0.950039i | \(-0.601043\pi\) | ||||
−0.312132 | + | 0.950039i | \(0.601043\pi\) | |||||||
\(828\) | −3.70160e9 | − | 6.41136e9i | −0.226612 | − | 0.392504i | ||||
\(829\) | −5.51455e9 | + | 9.55148e9i | −0.336178 | + | 0.582278i | −0.983710 | − | 0.179760i | \(-0.942468\pi\) |
0.647532 | + | 0.762038i | \(0.275801\pi\) | |||||||
\(830\) | 2.90909e9 | − | 5.03868e9i | 0.176597 | − | 0.305875i | ||||
\(831\) | −1.05589e9 | − | 1.82885e9i | −0.0638284 | − | 0.110554i | ||||
\(832\) | −2.33884e9 | −0.140789 | ||||||||
\(833\) | 8.89235e9 | + | 2.16425e9i | 0.533039 | + | 0.129733i | ||||
\(834\) | −2.28504e9 | −0.136400 | ||||||||
\(835\) | −8.88969e9 | − | 1.53974e10i | −0.528426 | − | 0.915260i | ||||
\(836\) | 7.14393e8 | − | 1.23737e9i | 0.0422878 | − | 0.0732447i | ||||
\(837\) | −8.39015e9 | + | 1.45322e10i | −0.494573 | + | 0.856626i | ||||
\(838\) | −9.91963e9 | − | 1.71813e10i | −0.582293 | − | 1.00856i | ||||
\(839\) | −1.71068e10 | −1.00001 | −0.500003 | − | 0.866023i | \(-0.666668\pi\) | ||||
−0.500003 | + | 0.866023i | \(0.666668\pi\) | |||||||
\(840\) | −1.68276e9 | − | 1.26067e9i | −0.0979589 | − | 0.0733878i | ||||
\(841\) | −6.51269e8 | −0.0377550 | ||||||||
\(842\) | 2.20742e8 | + | 3.82337e8i | 0.0127436 | + | 0.0220726i | ||||
\(843\) | −3.85847e9 | + | 6.68306e9i | −0.221829 | + | 0.384219i | ||||
\(844\) | 3.98525e9 | − | 6.90266e9i | 0.228169 | − | 0.395201i | ||||
\(845\) | 1.82649e9 | + | 3.16357e9i | 0.104140 | + | 0.180376i | ||||
\(846\) | 1.68869e10 | 0.958859 | ||||||||
\(847\) | −1.38560e9 | + | 1.15523e10i | −0.0783510 | + | 0.653247i | ||||
\(848\) | −5.21407e9 | −0.293624 | ||||||||
\(849\) | 2.29298e9 | + | 3.97156e9i | 0.128595 | + | 0.222733i | ||||
\(850\) | −1.38432e9 | + | 2.39772e9i | −0.0773164 | + | 0.133916i | ||||
\(851\) | 1.62405e10 | − | 2.81294e10i | 0.903330 | − | 1.56461i | ||||
\(852\) | −1.66523e9 | − | 2.88427e9i | −0.0922435 | − | 0.159771i | ||||
\(853\) | −2.88309e9 | −0.159051 | −0.0795256 | − | 0.996833i | \(-0.525341\pi\) | ||||
−0.0795256 | + | 0.996833i | \(0.525341\pi\) | |||||||
\(854\) | −1.41677e10 | + | 6.06073e9i | −0.778388 | + | 0.332983i | ||||
\(855\) | −3.28203e9 | −0.179582 | ||||||||
\(856\) | 1.27845e9 | + | 2.21434e9i | 0.0696667 | + | 0.120666i | ||||
\(857\) | 1.20159e10 | − | 2.08122e10i | 0.652116 | − | 1.12950i | −0.330492 | − | 0.943809i | \(-0.607215\pi\) |
0.982608 | − | 0.185690i | \(-0.0594520\pi\) | |||||||
\(858\) | 1.92367e9 | − | 3.33189e9i | 0.103974 | − | 0.180088i | ||||
\(859\) | 1.70872e10 | + | 2.95958e10i | 0.919801 | + | 1.59314i | 0.799716 | + | 0.600378i | \(0.204983\pi\) |
0.120084 | + | 0.992764i | \(0.461683\pi\) | |||||||
\(860\) | −5.86687e9 | −0.314530 | ||||||||
\(861\) | 1.08572e10 | − | 4.64457e9i | 0.579706 | − | 0.247990i | ||||
\(862\) | 1.34778e10 | 0.716709 | ||||||||
\(863\) | −1.48357e10 | − | 2.56962e10i | −0.785724 | − | 1.36091i | −0.928566 | − | 0.371168i | \(-0.878957\pi\) |
0.142841 | − | 0.989746i | \(-0.454376\pi\) | |||||||
\(864\) | 1.34706e9 | − | 2.33318e9i | 0.0710540 | − | 0.123069i | ||||
\(865\) | −7.36082e9 | + | 1.27493e10i | −0.386696 | + | 0.669777i | ||||
\(866\) | 5.18768e9 | + | 8.98532e9i | 0.271432 | + | 0.470133i | ||||
\(867\) | −5.98853e9 | −0.312071 | ||||||||
\(868\) | −1.41163e9 | + | 1.17694e10i | −0.0732660 | + | 0.610851i | ||||
\(869\) | −1.08397e10 | −0.560333 | ||||||||
\(870\) | 2.33207e9 | + | 4.03926e9i | 0.120067 | + | 0.207962i | ||||
\(871\) | −1.49413e10 | + | 2.58791e10i | −0.766169 | + | 1.32704i | ||||
\(872\) | −4.78388e9 | + | 8.28592e9i | −0.244327 | + | 0.423187i | ||||
\(873\) | 3.95324e9 | + | 6.84721e9i | 0.201096 | + | 0.348308i | ||||
\(874\) | 4.56946e9 | 0.231513 | ||||||||
\(875\) | 1.72015e10 | + | 1.28868e10i | 0.868035 | + | 0.650305i | ||||
\(876\) | −4.37394e9 | −0.219841 | ||||||||
\(877\) | 3.70786e9 | + | 6.42220e9i | 0.185620 | + | 0.321503i | 0.943785 | − | 0.330559i | \(-0.107237\pi\) |
−0.758165 | + | 0.652062i | \(0.773904\pi\) | |||||||
\(878\) | 5.62552e8 | − | 9.74369e8i | 0.0280500 | − | 0.0485840i | ||||
\(879\) | 7.53914e9 | − | 1.30582e10i | 0.374422 | − | 0.648517i | ||||
\(880\) | 1.14612e9 | + | 1.98514e9i | 0.0566946 | + | 0.0981979i | ||||
\(881\) | 3.89699e10 | 1.92005 | 0.960027 | − | 0.279907i | \(-0.0903037\pi\) | ||||
0.960027 | + | 0.279907i | \(0.0903037\pi\) | |||||||
\(882\) | 1.12098e10 | + | 2.72828e9i | 0.550123 | + | 0.133890i | ||||
\(883\) | −6.37811e9 | −0.311767 | −0.155883 | − | 0.987775i | \(-0.549822\pi\) | ||||
−0.155883 | + | 0.987775i | \(0.549822\pi\) | |||||||
\(884\) | −3.17276e9 | − | 5.49538e9i | −0.154474 | − | 0.267556i | ||||
\(885\) | 3.80318e9 | − | 6.58730e9i | 0.184436 | − | 0.319452i | ||||
\(886\) | 7.39733e9 | − | 1.28126e10i | 0.357320 | − | 0.618896i | ||||
\(887\) | 1.84996e10 | + | 3.20422e10i | 0.890079 | + | 1.54166i | 0.839779 | + | 0.542928i | \(0.182685\pi\) |
0.0503004 | + | 0.998734i | \(0.483982\pi\) | |||||||
\(888\) | 5.25601e9 | 0.251890 | ||||||||
\(889\) | −1.24979e10 | − | 9.36305e9i | −0.596597 | − | 0.446952i | ||||
\(890\) | −4.16098e9 | −0.197847 | ||||||||
\(891\) | −2.72803e9 | − | 4.72509e9i | −0.129205 | − | 0.223789i | ||||
\(892\) | −9.13484e9 | + | 1.58220e10i | −0.430947 | + | 0.746423i | ||||
\(893\) | −5.21155e9 | + | 9.02666e9i | −0.244899 | + | 0.424177i | ||||
\(894\) | −2.03670e9 | − | 3.52768e9i | −0.0953337 | − | 0.165123i | ||||
\(895\) | 1.32176e10 | 0.616272 | ||||||||
\(896\) | 2.26641e8 | − | 1.88961e9i | 0.0105259 | − | 0.0877594i | ||||
\(897\) | 1.23043e10 | 0.569224 | ||||||||
\(898\) | 1.16717e10 | + | 2.02161e10i | 0.537859 | + | 0.931599i | ||||
\(899\) | 1.31474e10 | − | 2.27719e10i | 0.603503 | − | 1.04530i | ||||
\(900\) | −1.74510e9 | + | 3.02261e9i | −0.0797944 | + | 0.138208i | ||||
\(901\) | −7.07315e9 | − | 1.22511e10i | −0.322163 | − | 0.558003i | ||||
\(902\) | −1.28740e10 | −0.584106 | ||||||||
\(903\) | −7.36690e9 | + | 3.15146e9i | −0.332949 | + | 0.142431i | ||||
\(904\) | 1.27761e10 | 0.575188 | ||||||||
\(905\) | −1.66786e10 | − | 2.88883e10i | −0.747981 | − | 1.29554i | ||||
\(906\) | −2.82285e9 | + | 4.88931e9i | −0.126107 | + | 0.218423i | ||||
\(907\) | 3.20212e9 | − | 5.54623e9i | 0.142499 | − | 0.246816i | −0.785938 | − | 0.618305i | \(-0.787820\pi\) |
0.928437 | + | 0.371490i | \(0.121153\pi\) | |||||||
\(908\) | −2.15770e9 | − | 3.73725e9i | −0.0956514 | − | 0.165673i | ||||
\(909\) | −1.29583e10 | −0.572234 | ||||||||
\(910\) | −1.29083e10 | + | 5.52200e9i | −0.567839 | + | 0.242914i | ||||
\(911\) | −2.59678e9 | −0.113794 | −0.0568971 | − | 0.998380i | \(-0.518121\pi\) | ||||
−0.0568971 | + | 0.998380i | \(0.518121\pi\) | |||||||
\(912\) | 3.69710e8 | + | 6.40357e8i | 0.0161391 | + | 0.0279537i | ||||
\(913\) | −4.33142e9 | + | 7.50224e9i | −0.188357 | + | 0.326244i | ||||
\(914\) | −1.13632e10 | + | 1.96817e10i | −0.492254 | + | 0.852609i | ||||
\(915\) | 4.80256e9 | + | 8.31828e9i | 0.207252 | + | 0.358971i | ||||
\(916\) | 4.58827e9 | 0.197249 | ||||||||
\(917\) | 2.90998e9 | − | 2.42618e10i | 0.124623 | − | 1.03904i | ||||
\(918\) | 7.30943e9 | 0.311842 | ||||||||
\(919\) | 1.87721e10 | + | 3.25142e10i | 0.797825 | + | 1.38187i | 0.921030 | + | 0.389492i | \(0.127349\pi\) |
−0.123205 | + | 0.992381i | \(0.539317\pi\) | |||||||
\(920\) | −3.66546e9 | + | 6.34876e9i | −0.155193 | + | 0.268802i | ||||
\(921\) | 6.67602e8 | − | 1.15632e9i | 0.0281585 | − | 0.0487719i | ||||
\(922\) | −1.58423e10 | − | 2.74396e10i | −0.665671 | − | 1.15298i | ||||
\(923\) | −2.22387e10 | −0.930900 | ||||||||
\(924\) | 2.50550e9 | + | 1.87705e9i | 0.104482 | + | 0.0782750i | ||||
\(925\) | −1.53130e10 | −0.636159 | ||||||||
\(926\) | 8.79260e9 | + | 1.52292e10i | 0.363897 | + | 0.630289i | ||||
\(927\) | 1.61604e10 | − | 2.79907e10i | 0.666306 | − | 1.15408i | ||||
\(928\) | −2.11084e9 | + | 3.65609e9i | −0.0867037 | + | 0.150175i | ||||
\(929\) | −1.26185e10 | − | 2.18559e10i | −0.516361 | − | 0.894363i | −0.999820 | − | 0.0189960i | \(-0.993953\pi\) |
0.483459 | − | 0.875367i | \(-0.339380\pi\) | |||||||
\(930\) | 7.38870e9 | 0.301216 | ||||||||
\(931\) | −4.91788e9 | + | 5.15007e9i | −0.199735 | + | 0.209165i | ||||
\(932\) | 1.39508e8 | 0.00564472 | ||||||||
\(933\) | −1.61427e9 | − | 2.79600e9i | −0.0650716 | − | 0.112707i | ||||
\(934\) | −1.24896e10 | + | 2.16326e10i | −0.501573 | + | 0.868751i | ||||
\(935\) | −3.10955e9 | + | 5.38590e9i | −0.124410 | + | 0.215485i | ||||
\(936\) | −3.99963e9 | − | 6.92757e9i | −0.159424 | − | 0.276131i | ||||
\(937\) | −6.75432e9 | −0.268221 | −0.134111 | − | 0.990966i | \(-0.542818\pi\) | ||||
−0.134111 | + | 0.990966i | \(0.542818\pi\) | |||||||
\(938\) | −1.94605e10 | − | 1.45792e10i | −0.769917 | − | 0.576798i | ||||
\(939\) | −1.03131e10 | −0.406499 | ||||||||
\(940\) | −8.36104e9 | − | 1.44817e10i | −0.328332 | − | 0.568687i | ||||
\(941\) | 4.73345e9 | − | 8.19857e9i | 0.185188 | − | 0.320756i | −0.758452 | − | 0.651729i | \(-0.774044\pi\) |
0.943640 | + | 0.330974i | \(0.107377\pi\) | |||||||
\(942\) | −6.64458e8 | + | 1.15087e9i | −0.0258994 | + | 0.0448590i | ||||
\(943\) | −2.05865e10 | − | 3.56568e10i | −0.799449 | − | 1.38469i | ||||
\(944\) | 6.88480e9 | 0.266373 | ||||||||
\(945\) | 1.92595e9 | − | 1.60575e10i | 0.0742392 | − | 0.618965i | ||||
\(946\) | 8.73534e9 | 0.335476 | ||||||||
\(947\) | 2.51579e10 | + | 4.35748e10i | 0.962608 | + | 1.66729i | 0.715908 | + | 0.698195i | \(0.246013\pi\) |
0.246701 | + | 0.969092i | \(0.420654\pi\) | |||||||
\(948\) | 2.80485e9 | − | 4.85814e9i | 0.106925 | − | 0.185200i | ||||
\(949\) | −1.46032e10 | + | 2.52934e10i | −0.554645 | + | 0.960673i | ||||
\(950\) | −1.07713e9 | − | 1.86564e9i | −0.0407600 | − | 0.0705983i | ||||
\(951\) | 8.97599e9 | 0.338416 | ||||||||
\(952\) | 4.74730e9 | − | 2.03083e9i | 0.178327 | − | 0.0762859i | ||||
\(953\) | −2.56329e9 | −0.0959342 | −0.0479671 | − | 0.998849i | \(-0.515274\pi\) | ||||
−0.0479671 | + | 0.998849i | \(0.515274\pi\) | |||||||
\(954\) | −8.91653e9 | − | 1.54439e10i | −0.332489 | − | 0.575887i | ||||
\(955\) | 2.44072e9 | − | 4.22745e9i | 0.0906790 | − | 0.157061i | ||||
\(956\) | 5.98820e9 | − | 1.03719e10i | 0.221663 | − | 0.383932i | ||||
\(957\) | −3.47228e9 | − | 6.01416e9i | −0.128063 | − | 0.221811i | ||||
\(958\) | −1.08724e10 | −0.399525 | ||||||||
\(959\) | 2.27446e10 | − | 9.72984e9i | 0.832749 | − | 0.356238i | ||||
\(960\) | −1.18627e9 | −0.0432749 | ||||||||
\(961\) | −7.07111e9 | − | 1.22475e10i | −0.257013 | − | 0.445160i | ||||
\(962\) | 1.75481e10 | − | 3.03942e10i | 0.635504 | − | 1.10072i | ||||
\(963\) | −4.37253e9 | + | 7.57344e9i | −0.157776 | + | 0.273276i | ||||
\(964\) | 4.01056e9 | + | 6.94649e9i | 0.144190 | + | 0.249744i | ||||
\(965\) | 2.93218e10 | 1.05038 | ||||||||
\(966\) | −1.19233e9 | + | 9.94095e9i | −0.0425574 | + | 0.354820i | ||||
\(967\) | 1.17322e10 | 0.417241 | 0.208621 | − | 0.977997i | \(-0.433103\pi\) | ||||
0.208621 | + | 0.977997i | \(0.433103\pi\) | |||||||
\(968\) | 3.28222e9 | + | 5.68498e9i | 0.116307 | + | 0.201449i | ||||
\(969\) | −1.00306e9 | + | 1.73735e9i | −0.0354156 | + | 0.0613416i | ||||
\(970\) | 3.91464e9 | − | 6.78036e9i | 0.137718 | − | 0.238535i | ||||
\(971\) | 8.01185e9 | + | 1.38769e10i | 0.280844 | + | 0.486437i | 0.971593 | − | 0.236658i | \(-0.0760522\pi\) |
−0.690749 | + | 0.723095i | \(0.742719\pi\) | |||||||
\(972\) | 1.43315e10 | 0.500564 | ||||||||
\(973\) | −9.93651e9 | − | 7.44413e9i | −0.345811 | − | 0.259071i | ||||
\(974\) | 1.91573e10 | 0.664319 | ||||||||
\(975\) | −2.90040e9 | − | 5.02365e9i | −0.100217 | − | 0.173581i | ||||
\(976\) | −4.34698e9 | + | 7.52919e9i | −0.149663 | + | 0.259223i | ||||
\(977\) | −2.08302e10 | + | 3.60790e10i | −0.714601 | + | 1.23772i | 0.248513 | + | 0.968629i | \(0.420058\pi\) |
−0.963113 | + | 0.269096i | \(0.913275\pi\) | |||||||
\(978\) | 4.47969e9 | + | 7.75904e9i | 0.153130 | + | 0.265230i | ||||
\(979\) | 6.19540e9 | 0.211023 | ||||||||
\(980\) | −3.21050e9 | − | 1.09641e10i | −0.108964 | − | 0.372117i | ||||
\(981\) | −3.27235e10 | −1.10667 | ||||||||
\(982\) | 7.82953e9 | + | 1.35611e10i | 0.263843 | + | 0.456989i | ||||
\(983\) | −2.36038e10 | + | 4.08830e10i | −0.792584 | + | 1.37280i | 0.131778 | + | 0.991279i | \(0.457931\pi\) |
−0.924362 | + | 0.381516i | \(0.875402\pi\) | |||||||
\(984\) | 3.33126e9 | − | 5.76991e9i | 0.111462 | − | 0.193057i | ||||
\(985\) | −9.71314e9 | − | 1.68236e10i | −0.323842 | − | 0.560910i | ||||
\(986\) | −1.14539e10 | −0.380525 | ||||||||
\(987\) | −1.82778e10 | − | 1.36932e10i | −0.605082 | − | 0.453309i | ||||
\(988\) | 4.93737e9 | 0.162872 | ||||||||
\(989\) | 1.39684e10 | + | 2.41940e10i | 0.459156 | + | 0.795282i | ||||
\(990\) | −3.91995e9 | + | 6.78955e9i | −0.128398 | + | 0.222391i | ||||
\(991\) | 3.20329e9 | − | 5.54826e9i | 0.104553 | − | 0.181092i | −0.809002 | − | 0.587806i | \(-0.799992\pi\) |
0.913556 | + | 0.406714i | \(0.133325\pi\) | |||||||
\(992\) | 3.34390e9 | + | 5.79180e9i | 0.108758 | + | 0.188375i | ||||
\(993\) | −6.85132e9 | −0.222051 | ||||||||
\(994\) | 2.15500e9 | − | 1.79672e10i | 0.0695977 | − | 0.580266i | ||||
\(995\) | 1.19088e10 | 0.383254 | ||||||||
\(996\) | −2.24158e9 | − | 3.88253e9i | −0.0718863 | − | 0.124511i | ||||
\(997\) | 6.01597e9 | − | 1.04200e10i | 0.192253 | − | 0.332991i | −0.753744 | − | 0.657168i | \(-0.771754\pi\) |
0.945996 | + | 0.324177i | \(0.105087\pi\) | |||||||
\(998\) | −1.18061e9 | + | 2.04488e9i | −0.0375968 | + | 0.0651196i | ||||
\(999\) | 2.02137e10 | + | 3.50112e10i | 0.641457 | + | 1.11104i |
(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 | 14.8.c.a.11.1 | yes | 4 | |
3.2 | odd | 2 | 126.8.g.e.109.1 | 4 | |||
4.3 | odd | 2 | 112.8.i.a.81.2 | 4 | |||
7.2 | even | 3 | inner | 14.8.c.a.9.1 | ✓ | 4 | |
7.3 | odd | 6 | 98.8.a.k.1.1 | 2 | |||
7.4 | even | 3 | 98.8.a.h.1.2 | 2 | |||
7.5 | odd | 6 | 98.8.c.h.79.2 | 4 | |||
7.6 | odd | 2 | 98.8.c.h.67.2 | 4 | |||
21.2 | odd | 6 | 126.8.g.e.37.1 | 4 | |||
28.23 | odd | 6 | 112.8.i.a.65.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.8.c.a.9.1 | ✓ | 4 | 7.2 | even | 3 | inner | |
14.8.c.a.11.1 | yes | 4 | 1.1 | even | 1 | trivial | |
98.8.a.h.1.2 | 2 | 7.4 | even | 3 | |||
98.8.a.k.1.1 | 2 | 7.3 | odd | 6 | |||
98.8.c.h.67.2 | 4 | 7.6 | odd | 2 | |||
98.8.c.h.79.2 | 4 | 7.5 | odd | 6 | |||
112.8.i.a.65.2 | 4 | 28.23 | odd | 6 | |||
112.8.i.a.81.2 | 4 | 4.3 | odd | 2 | |||
126.8.g.e.37.1 | 4 | 21.2 | odd | 6 | |||
126.8.g.e.109.1 | 4 | 3.2 | odd | 2 |