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: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 104960 x^{14} - 3899480 x^{13} + 8040649724 x^{12} - 270026959304 x^{11} + 275078771318560 x^{10} + \cdots + 13\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3^{5}\cdot 19^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Root | \(-89.8616 + 155.645i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.10.c.b.7.7 |
$q$-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 | ||||
\(3\) | 94.3616 | − | 163.439i | 0.672589 | − | 1.16496i | −0.304578 | − | 0.952487i | \(-0.598516\pi\) |
0.977167 | − | 0.212471i | \(-0.0681511\pi\) | |||||||
\(4\) | −128.000 | − | 221.703i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1091.71 | − | 1890.90i | 0.781166 | − | 1.35302i | −0.150097 | − | 0.988671i | \(-0.547959\pi\) |
0.931263 | − | 0.364348i | \(-0.118708\pi\) | |||||||
\(6\) | 1509.79 | + | 2615.03i | 0.475592 | + | 0.823750i | ||||
\(7\) | 6918.71 | 1.08914 | 0.544571 | − | 0.838715i | \(-0.316693\pi\) | ||||
0.544571 | + | 0.838715i | \(0.316693\pi\) | |||||||
\(8\) | 4096.00 | 0.353553 | ||||||||
\(9\) | −7966.73 | − | 13798.8i | −0.404752 | − | 0.701051i | ||||
\(10\) | 17467.4 | + | 30254.4i | 0.552368 | + | 0.956729i | ||||
\(11\) | 37826.2 | 0.778979 | 0.389489 | − | 0.921031i | \(-0.372651\pi\) | ||||
0.389489 | + | 0.921031i | \(0.372651\pi\) | |||||||
\(12\) | −48313.1 | −0.672589 | ||||||||
\(13\) | −38053.7 | − | 65911.0i | −0.369532 | − | 0.640048i | 0.619960 | − | 0.784633i | \(-0.287149\pi\) |
−0.989492 | + | 0.144585i | \(0.953815\pi\) | |||||||
\(14\) | −55349.7 | + | 95868.5i | −0.385070 | + | 0.666960i | ||||
\(15\) | −206031. | − | 356857.i | −1.05081 | − | 1.82005i | ||||
\(16\) | −32768.0 | + | 56755.8i | −0.125000 | + | 0.216506i | ||||
\(17\) | −57442.7 | + | 99493.8i | −0.166807 | + | 0.288919i | −0.937296 | − | 0.348535i | \(-0.886679\pi\) |
0.770488 | + | 0.637454i | \(0.220012\pi\) | |||||||
\(18\) | 254935. | 0.572406 | ||||||||
\(19\) | −41670.6 | + | 566526.i | −0.0733565 | + | 0.997306i | ||||
\(20\) | −558957. | −0.781166 | ||||||||
\(21\) | 652861. | − | 1.13079e6i | 0.732544 | − | 1.26880i | ||||
\(22\) | −302610. | + | 524135.i | −0.275411 | + | 0.477025i | ||||
\(23\) | −150029. | − | 259857.i | −0.111789 | − | 0.193624i | 0.804703 | − | 0.593678i | \(-0.202325\pi\) |
−0.916492 | + | 0.400054i | \(0.868991\pi\) | |||||||
\(24\) | 386505. | − | 669447.i | 0.237796 | − | 0.411875i | ||||
\(25\) | −1.40711e6 | − | 2.43718e6i | −0.720440 | − | 1.24784i | ||||
\(26\) | 1.21772e6 | 0.522597 | ||||||||
\(27\) | 707625. | 0.256251 | ||||||||
\(28\) | −885595. | − | 1.53390e6i | −0.272285 | − | 0.471612i | ||||
\(29\) | −2.39490e6 | − | 4.14809e6i | −0.628777 | − | 1.08907i | −0.987797 | − | 0.155744i | \(-0.950222\pi\) |
0.359020 | − | 0.933330i | \(-0.383111\pi\) | |||||||
\(30\) | 6.59301e6 | 1.48607 | ||||||||
\(31\) | 8.93537e6 | 1.73774 | 0.868870 | − | 0.495041i | \(-0.164847\pi\) | ||||
0.868870 | + | 0.495041i | \(0.164847\pi\) | |||||||
\(32\) | −524288. | − | 908093.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 3.56934e6 | − | 6.18228e6i | 0.523933 | − | 0.907478i | ||||
\(34\) | −919084. | − | 1.59190e6i | −0.117951 | − | 0.204296i | ||||
\(35\) | 7.55325e6 | − | 1.30826e7i | 0.850800 | − | 1.47363i | ||||
\(36\) | −2.03948e6 | + | 3.53249e6i | −0.202376 | + | 0.350525i | ||||
\(37\) | −4.52289e6 | −0.396742 | −0.198371 | − | 0.980127i | \(-0.563565\pi\) | ||||
−0.198371 | + | 0.980127i | \(0.563565\pi\) | |||||||
\(38\) | −7.51664e6 | − | 5.10961e6i | −0.584787 | − | 0.397522i | ||||
\(39\) | −1.43632e7 | −0.994172 | ||||||||
\(40\) | 4.47165e6 | − | 7.74513e6i | 0.276184 | − | 0.478364i | ||||
\(41\) | −8.17432e6 | + | 1.41583e7i | −0.451777 | + | 0.782501i | −0.998497 | − | 0.0548147i | \(-0.982543\pi\) |
0.546719 | + | 0.837316i | \(0.315877\pi\) | |||||||
\(42\) | 1.04458e7 | + | 1.80926e7i | 0.517987 | + | 0.897180i | ||||
\(43\) | −2.12430e7 | + | 3.67939e7i | −0.947561 | + | 1.64122i | −0.197020 | + | 0.980399i | \(0.563127\pi\) |
−0.750541 | + | 0.660824i | \(0.770207\pi\) | |||||||
\(44\) | −4.84175e6 | − | 8.38616e6i | −0.194745 | − | 0.337308i | ||||
\(45\) | −3.47895e7 | −1.26471 | ||||||||
\(46\) | 4.80092e6 | 0.158093 | ||||||||
\(47\) | −2.50212e7 | − | 4.33380e7i | −0.747942 | − | 1.29547i | −0.948808 | − | 0.315854i | \(-0.897709\pi\) |
0.200866 | − | 0.979619i | \(-0.435624\pi\) | |||||||
\(48\) | 6.18408e6 | + | 1.07111e7i | 0.168147 | + | 0.291240i | ||||
\(49\) | 7.51500e6 | 0.186229 | ||||||||
\(50\) | 4.50275e7 | 1.01886 | ||||||||
\(51\) | 1.08408e7 | + | 1.87768e7i | 0.224385 | + | 0.388647i | ||||
\(52\) | −9.74175e6 | + | 1.68732e7i | −0.184766 | + | 0.320024i | ||||
\(53\) | 1.92327e7 | + | 3.33120e7i | 0.334810 | + | 0.579908i | 0.983448 | − | 0.181189i | \(-0.0579945\pi\) |
−0.648638 | + | 0.761097i | \(0.724661\pi\) | |||||||
\(54\) | −5.66100e6 | + | 9.80514e6i | −0.0905986 | + | 0.156921i | ||||
\(55\) | 4.12953e7 | − | 7.15256e7i | 0.608512 | − | 1.05397i | ||||
\(56\) | 2.83391e7 | 0.385070 | ||||||||
\(57\) | 8.86603e7 | + | 6.02689e7i | 1.11248 | + | 0.756234i | ||||
\(58\) | 7.66369e7 | 0.889225 | ||||||||
\(59\) | −4.24144e7 | + | 7.34638e7i | −0.455700 | + | 0.789295i | −0.998728 | − | 0.0504191i | \(-0.983944\pi\) |
0.543028 | + | 0.839714i | \(0.317278\pi\) | |||||||
\(60\) | −5.27441e7 | + | 9.13554e7i | −0.525403 | + | 0.910025i | ||||
\(61\) | −7.12676e7 | − | 1.23439e8i | −0.659034 | − | 1.14148i | −0.980866 | − | 0.194684i | \(-0.937632\pi\) |
0.321832 | − | 0.946797i | \(-0.395701\pi\) | |||||||
\(62\) | −7.14829e7 | + | 1.23812e8i | −0.614384 | + | 1.06414i | ||||
\(63\) | −5.51195e7 | − | 9.54698e7i | −0.440832 | − | 0.763543i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | −1.66175e8 | −1.15466 | ||||||||
\(66\) | 5.71095e7 | + | 9.89165e7i | 0.370476 | + | 0.641684i | ||||
\(67\) | 9.02171e7 | + | 1.56261e8i | 0.546956 | + | 0.947355i | 0.998481 | + | 0.0550966i | \(0.0175467\pi\) |
−0.451525 | + | 0.892258i | \(0.649120\pi\) | |||||||
\(68\) | 2.94107e7 | 0.166807 | ||||||||
\(69\) | −5.66278e7 | −0.300752 | ||||||||
\(70\) | 1.20852e8 | + | 2.09322e8i | 0.601606 | + | 1.04201i | ||||
\(71\) | 7.16885e7 | − | 1.24168e8i | 0.334801 | − | 0.579893i | −0.648645 | − | 0.761091i | \(-0.724664\pi\) |
0.983447 | + | 0.181198i | \(0.0579975\pi\) | |||||||
\(72\) | −3.26317e7 | − | 5.65198e7i | −0.143101 | − | 0.247859i | ||||
\(73\) | 3.77482e7 | − | 6.53818e7i | 0.155576 | − | 0.269466i | −0.777692 | − | 0.628645i | \(-0.783610\pi\) |
0.933269 | + | 0.359179i | \(0.116943\pi\) | |||||||
\(74\) | 3.61831e7 | − | 6.26710e7i | 0.140269 | − | 0.242954i | ||||
\(75\) | −5.31108e8 | −1.93824 | ||||||||
\(76\) | 1.30934e8 | − | 6.32768e7i | 0.450185 | − | 0.217562i | ||||
\(77\) | 2.61709e8 | 0.848418 | ||||||||
\(78\) | 1.14906e8 | − | 1.99023e8i | 0.351493 | − | 0.608804i | ||||
\(79\) | −9.93343e7 | + | 1.72052e8i | −0.286931 | + | 0.496979i | −0.973076 | − | 0.230486i | \(-0.925968\pi\) |
0.686145 | + | 0.727465i | \(0.259302\pi\) | |||||||
\(80\) | 7.15465e7 | + | 1.23922e8i | 0.195291 | + | 0.338255i | ||||
\(81\) | 2.23582e8 | − | 3.87255e8i | 0.577104 | − | 0.999573i | ||||
\(82\) | −1.30789e8 | − | 2.26533e8i | −0.319455 | − | 0.553312i | ||||
\(83\) | −1.57357e8 | −0.363944 | −0.181972 | − | 0.983304i | \(-0.558248\pi\) | ||||
−0.181972 | + | 0.983304i | \(0.558248\pi\) | |||||||
\(84\) | −3.34265e8 | −0.732544 | ||||||||
\(85\) | 1.25422e8 | + | 2.17237e8i | 0.260608 | + | 0.451387i | ||||
\(86\) | −3.39888e8 | − | 5.88702e8i | −0.670027 | − | 1.16052i | ||||
\(87\) | −9.03947e8 | −1.69163 | ||||||||
\(88\) | 1.54936e8 | 0.275411 | ||||||||
\(89\) | 5.16270e8 | + | 8.94205e8i | 0.872211 | + | 1.51071i | 0.859704 | + | 0.510792i | \(0.170648\pi\) |
0.0125068 | + | 0.999922i | \(0.496019\pi\) | |||||||
\(90\) | 2.78316e8 | − | 4.82058e8i | 0.447144 | − | 0.774475i | ||||
\(91\) | −2.63283e8 | − | 4.56019e8i | −0.402472 | − | 0.697103i | ||||
\(92\) | −3.84073e7 | + | 6.65235e7i | −0.0558945 | + | 0.0968121i | ||||
\(93\) | 8.43156e8 | − | 1.46039e9i | 1.16878 | − | 2.02439i | ||||
\(94\) | 8.00678e8 | 1.05775 | ||||||||
\(95\) | 1.02575e9 | + | 6.97278e8i | 1.29207 | + | 0.878314i | ||||
\(96\) | −1.97891e8 | −0.237796 | ||||||||
\(97\) | 2.76869e8 | − | 4.79551e8i | 0.317542 | − | 0.549999i | −0.662432 | − | 0.749122i | \(-0.730476\pi\) |
0.979975 | + | 0.199123i | \(0.0638092\pi\) | |||||||
\(98\) | −6.01200e7 | + | 1.04131e8i | −0.0658418 | + | 0.114041i | ||||
\(99\) | −3.01351e8 | − | 5.21955e8i | −0.315293 | − | 0.546104i | ||||
\(100\) | −3.60220e8 | + | 6.23919e8i | −0.360220 | + | 0.623919i | ||||
\(101\) | 5.81532e8 | + | 1.00724e9i | 0.556067 | + | 0.963136i | 0.997820 | + | 0.0659994i | \(0.0210236\pi\) |
−0.441753 | + | 0.897137i | \(0.645643\pi\) | |||||||
\(102\) | −3.46905e8 | −0.317329 | ||||||||
\(103\) | −1.17081e9 | −1.02499 | −0.512493 | − | 0.858692i | \(-0.671278\pi\) | ||||
−0.512493 | + | 0.858692i | \(0.671278\pi\) | |||||||
\(104\) | −1.55868e8 | − | 2.69971e8i | −0.130649 | − | 0.226291i | ||||
\(105\) | −1.42547e9 | − | 2.46899e9i | −1.14448 | − | 1.98229i | ||||
\(106\) | −6.15446e8 | −0.473493 | ||||||||
\(107\) | 1.65101e9 | 1.21765 | 0.608824 | − | 0.793305i | \(-0.291642\pi\) | ||||
0.608824 | + | 0.793305i | \(0.291642\pi\) | |||||||
\(108\) | −9.05760e7 | − | 1.56882e8i | −0.0640629 | − | 0.110960i | ||||
\(109\) | −3.15218e8 | + | 5.45973e8i | −0.213891 | + | 0.370469i | −0.952929 | − | 0.303194i | \(-0.901947\pi\) |
0.739038 | + | 0.673663i | \(0.235280\pi\) | |||||||
\(110\) | 6.60725e8 | + | 1.14441e9i | 0.430283 | + | 0.745271i | ||||
\(111\) | −4.26787e8 | + | 7.39217e8i | −0.266844 | + | 0.462188i | ||||
\(112\) | −2.26712e8 | + | 3.92677e8i | −0.136143 | + | 0.235806i | ||||
\(113\) | 3.22899e9 | 1.86301 | 0.931503 | − | 0.363734i | \(-0.118498\pi\) | ||||
0.931503 | + | 0.363734i | \(0.118498\pi\) | |||||||
\(114\) | −1.54439e9 | + | 7.46363e8i | −0.856418 | + | 0.413883i | ||||
\(115\) | −6.55153e8 | −0.349303 | ||||||||
\(116\) | −6.13095e8 | + | 1.06191e9i | −0.314389 | + | 0.544537i | ||||
\(117\) | −6.06327e8 | + | 1.05019e9i | −0.299137 | + | 0.518121i | ||||
\(118\) | −6.78630e8 | − | 1.17542e9i | −0.322228 | − | 0.558116i | ||||
\(119\) | −3.97430e8 | + | 6.88369e8i | −0.181677 | + | 0.314673i | ||||
\(120\) | −8.43905e8 | − | 1.46169e9i | −0.371516 | − | 0.643485i | ||||
\(121\) | −9.27126e8 | −0.393192 | ||||||||
\(122\) | 2.28056e9 | 0.932015 | ||||||||
\(123\) | 1.54268e9 | + | 2.67201e9i | 0.607721 | + | 1.05260i | ||||
\(124\) | −1.14373e9 | − | 1.98099e9i | −0.434435 | − | 0.752463i | ||||
\(125\) | −1.88013e9 | −0.688800 | ||||||||
\(126\) | 1.76382e9 | 0.623430 | ||||||||
\(127\) | 1.66363e9 | + | 2.88149e9i | 0.567465 | + | 0.982879i | 0.996816 | + | 0.0797408i | \(0.0254093\pi\) |
−0.429350 | + | 0.903138i | \(0.641257\pi\) | |||||||
\(128\) | −1.34218e8 | + | 2.32472e8i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 4.00904e9 | + | 6.94386e9i | 1.27464 | + | 2.20774i | ||||
\(130\) | 1.32940e9 | − | 2.30259e9i | 0.408235 | − | 0.707084i | ||||
\(131\) | 2.08032e9 | − | 3.60322e9i | 0.617176 | − | 1.06898i | −0.372822 | − | 0.927903i | \(-0.621610\pi\) |
0.989998 | − | 0.141078i | \(-0.0450568\pi\) | |||||||
\(132\) | −1.82750e9 | −0.523933 | ||||||||
\(133\) | −2.88307e8 | + | 3.91963e9i | −0.0798956 | + | 1.08621i | ||||
\(134\) | −2.88695e9 | −0.773512 | ||||||||
\(135\) | 7.72523e8 | − | 1.33805e9i | 0.200175 | − | 0.346713i | ||||
\(136\) | −2.35285e8 | + | 4.07526e8i | −0.0589753 | + | 0.102148i | ||||
\(137\) | 2.18691e9 | + | 3.78784e9i | 0.530381 | + | 0.918647i | 0.999372 | + | 0.0354437i | \(0.0112844\pi\) |
−0.468991 | + | 0.883203i | \(0.655382\pi\) | |||||||
\(138\) | 4.53022e8 | − | 7.84658e8i | 0.106332 | − | 0.184172i | ||||
\(139\) | −1.59219e9 | − | 2.75775e9i | −0.361767 | − | 0.626598i | 0.626485 | − | 0.779433i | \(-0.284493\pi\) |
−0.988252 | + | 0.152835i | \(0.951160\pi\) | |||||||
\(140\) | −3.86726e9 | −0.850800 | ||||||||
\(141\) | −9.44416e9 | −2.01223 | ||||||||
\(142\) | 1.14702e9 | + | 1.98669e9i | 0.236740 | + | 0.410046i | ||||
\(143\) | −1.43943e9 | − | 2.49316e9i | −0.287858 | − | 0.498584i | ||||
\(144\) | 1.04422e9 | 0.202376 | ||||||||
\(145\) | −1.04582e10 | −1.96472 | ||||||||
\(146\) | 6.03971e8 | + | 1.04611e9i | 0.110009 | + | 0.190541i | ||||
\(147\) | 7.09127e8 | − | 1.22824e9i | 0.125255 | − | 0.216949i | ||||
\(148\) | 5.78930e8 | + | 1.00274e9i | 0.0991855 | + | 0.171794i | ||||
\(149\) | −1.43095e9 | + | 2.47847e9i | −0.237840 | + | 0.411951i | −0.960094 | − | 0.279677i | \(-0.909773\pi\) |
0.722254 | + | 0.691628i | \(0.243106\pi\) | |||||||
\(150\) | 4.24887e9 | − | 7.35925e9i | 0.685271 | − | 1.18692i | ||||
\(151\) | 2.88094e9 | 0.450959 | 0.225480 | − | 0.974248i | \(-0.427605\pi\) | ||||
0.225480 | + | 0.974248i | \(0.427605\pi\) | |||||||
\(152\) | −1.70683e8 | + | 2.32049e9i | −0.0259354 | + | 0.352601i | ||||
\(153\) | 1.83052e9 | 0.270062 | ||||||||
\(154\) | −2.09367e9 | + | 3.62634e9i | −0.299961 | + | 0.519548i | ||||
\(155\) | 9.75485e9 | − | 1.68959e10i | 1.35746 | − | 2.35119i | ||||
\(156\) | 1.83849e9 | + | 3.18437e9i | 0.248543 | + | 0.430489i | ||||
\(157\) | −2.74991e9 | + | 4.76298e9i | −0.361219 | + | 0.625649i | −0.988162 | − | 0.153416i | \(-0.950973\pi\) |
0.626943 | + | 0.779065i | \(0.284306\pi\) | |||||||
\(158\) | −1.58935e9 | − | 2.75283e9i | −0.202891 | − | 0.351417i | ||||
\(159\) | 7.25931e9 | 0.900758 | ||||||||
\(160\) | −2.28949e9 | −0.276184 | ||||||||
\(161\) | −1.03801e9 | − | 1.79788e9i | −0.121754 | − | 0.210884i | ||||
\(162\) | 3.57731e9 | + | 6.19608e9i | 0.408074 | + | 0.706805i | ||||
\(163\) | 1.57961e10 | 1.75269 | 0.876347 | − | 0.481680i | \(-0.159973\pi\) | ||||
0.876347 | + | 0.481680i | \(0.159973\pi\) | |||||||
\(164\) | 4.18525e9 | 0.451777 | ||||||||
\(165\) | −7.79339e9 | − | 1.34985e10i | −0.818556 | − | 1.41778i | ||||
\(166\) | 1.25886e9 | − | 2.18040e9i | 0.128674 | − | 0.222869i | ||||
\(167\) | 8.30349e7 | + | 1.43821e8i | 0.00826107 | + | 0.0143086i | 0.870126 | − | 0.492829i | \(-0.164037\pi\) |
−0.861865 | + | 0.507137i | \(0.830704\pi\) | |||||||
\(168\) | 2.67412e9 | − | 4.63171e9i | 0.258994 | − | 0.448590i | ||||
\(169\) | 2.40608e9 | − | 4.16745e9i | 0.226892 | − | 0.392989i | ||||
\(170\) | −4.01350e9 | −0.368556 | ||||||||
\(171\) | 8.14934e9 | − | 3.93835e9i | 0.728853 | − | 0.352235i | ||||
\(172\) | 1.08764e10 | 0.947561 | ||||||||
\(173\) | 2.57782e9 | − | 4.46492e9i | 0.218799 | − | 0.378971i | −0.735642 | − | 0.677371i | \(-0.763119\pi\) |
0.954441 | + | 0.298399i | \(0.0964527\pi\) | |||||||
\(174\) | 7.23158e9 | − | 1.25255e10i | 0.598083 | − | 1.03591i | ||||
\(175\) | −9.73539e9 | − | 1.68622e10i | −0.784661 | − | 1.35907i | ||||
\(176\) | −1.23949e9 | + | 2.14686e9i | −0.0973723 | + | 0.168654i | ||||
\(177\) | 8.00458e9 | + | 1.38643e10i | 0.612997 | + | 1.06174i | ||||
\(178\) | −1.65206e10 | −1.23349 | ||||||||
\(179\) | −2.26645e10 | −1.65009 | −0.825044 | − | 0.565069i | \(-0.808850\pi\) | ||||
−0.825044 | + | 0.565069i | \(0.808850\pi\) | |||||||
\(180\) | 4.45306e9 | + | 7.71292e9i | 0.316178 | + | 0.547637i | ||||
\(181\) | −9.97129e9 | − | 1.72708e10i | −0.690554 | − | 1.19607i | −0.971657 | − | 0.236397i | \(-0.924033\pi\) |
0.281103 | − | 0.959678i | \(-0.409300\pi\) | |||||||
\(182\) | 8.42505e9 | 0.569182 | ||||||||
\(183\) | −2.68997e10 | −1.77304 | ||||||||
\(184\) | −6.14517e8 | − | 1.06438e9i | −0.0395234 | − | 0.0684565i | ||||
\(185\) | −4.93769e9 | + | 8.55233e9i | −0.309921 | + | 0.536799i | ||||
\(186\) | 1.34905e10 | + | 2.33662e10i | 0.826456 | + | 1.43146i | ||||
\(187\) | −2.17284e9 | + | 3.76347e9i | −0.129939 | + | 0.225062i | ||||
\(188\) | −6.40543e9 | + | 1.10945e10i | −0.373971 | + | 0.647736i | ||||
\(189\) | 4.89586e9 | 0.279094 | ||||||||
\(190\) | −1.78678e10 | + | 8.63501e9i | −0.994671 | + | 0.480697i | ||||
\(191\) | 2.11403e10 | 1.14937 | 0.574687 | − | 0.818373i | \(-0.305124\pi\) | ||||
0.574687 | + | 0.818373i | \(0.305124\pi\) | |||||||
\(192\) | 1.58313e9 | − | 2.74205e9i | 0.0840736 | − | 0.145620i | ||||
\(193\) | −1.34287e10 | + | 2.32593e10i | −0.696671 | + | 1.20667i | 0.272944 | + | 0.962030i | \(0.412003\pi\) |
−0.969614 | + | 0.244639i | \(0.921331\pi\) | |||||||
\(194\) | 4.42990e9 | + | 7.67281e9i | 0.224536 | + | 0.388908i | ||||
\(195\) | −1.56805e10 | + | 2.71595e10i | −0.776613 | + | 1.34513i | ||||
\(196\) | −9.61920e8 | − | 1.66609e9i | −0.0465572 | − | 0.0806394i | ||||
\(197\) | −8.39663e9 | −0.397198 | −0.198599 | − | 0.980081i | \(-0.563639\pi\) | ||||
−0.198599 | + | 0.980081i | \(0.563639\pi\) | |||||||
\(198\) | 9.64324e9 | 0.445892 | ||||||||
\(199\) | −2.10670e10 | − | 3.64890e10i | −0.952276 | − | 1.64939i | −0.740482 | − | 0.672077i | \(-0.765403\pi\) |
−0.211795 | − | 0.977314i | \(-0.567931\pi\) | |||||||
\(200\) | −5.76352e9 | − | 9.98271e9i | −0.254714 | − | 0.441177i | ||||
\(201\) | 3.40521e10 | 1.47151 | ||||||||
\(202\) | −1.86090e10 | −0.786398 | ||||||||
\(203\) | −1.65696e10 | − | 2.86995e10i | −0.684827 | − | 1.18616i | ||||
\(204\) | 2.77524e9 | − | 4.80686e9i | 0.112193 | − | 0.194324i | ||||
\(205\) | 1.78480e10 | + | 3.09137e10i | 0.705826 | + | 1.22253i | ||||
\(206\) | 9.36645e9 | − | 1.62232e10i | 0.362387 | − | 0.627673i | ||||
\(207\) | −2.39048e9 | + | 4.14043e9i | −0.0904936 | + | 0.156739i | ||||
\(208\) | 4.98778e9 | 0.184766 | ||||||||
\(209\) | −1.57624e9 | + | 2.14295e10i | −0.0571431 | + | 0.776880i | ||||
\(210\) | 4.56151e10 | 1.61854 | ||||||||
\(211\) | −3.18826e9 | + | 5.52224e9i | −0.110735 | + | 0.191798i | −0.916067 | − | 0.401026i | \(-0.868654\pi\) |
0.805332 | + | 0.592824i | \(0.201987\pi\) | |||||||
\(212\) | 4.92357e9 | − | 8.52787e9i | 0.167405 | − | 0.289954i | ||||
\(213\) | −1.35293e10 | − | 2.34334e10i | −0.450367 | − | 0.780059i | ||||
\(214\) | −1.32081e10 | + | 2.28770e10i | −0.430504 | + | 0.745654i | ||||
\(215\) | 4.63824e10 | + | 8.03367e10i | 1.48040 | + | 2.56414i | ||||
\(216\) | 2.89843e9 | 0.0905986 | ||||||||
\(217\) | 6.18212e10 | 1.89264 | ||||||||
\(218\) | −5.04349e9 | − | 8.73557e9i | −0.151243 | − | 0.261961i | ||||
\(219\) | −7.12396e9 | − | 1.23391e10i | −0.209278 | − | 0.362480i | ||||
\(220\) | −2.11432e10 | −0.608512 | ||||||||
\(221\) | 8.74364e9 | 0.246562 | ||||||||
\(222\) | −6.82859e9 | − | 1.18275e10i | −0.188687 | − | 0.326816i | ||||
\(223\) | −2.27988e8 | + | 3.94888e8i | −0.00617363 | + | 0.0106930i | −0.869096 | − | 0.494644i | \(-0.835298\pi\) |
0.862922 | + | 0.505337i | \(0.168632\pi\) | |||||||
\(224\) | −3.62740e9 | − | 6.28284e9i | −0.0962674 | − | 0.166740i | ||||
\(225\) | −2.24201e10 | + | 3.88328e10i | −0.583199 | + | 1.01013i | ||||
\(226\) | −2.58319e10 | + | 4.47422e10i | −0.658672 | + | 1.14085i | ||||
\(227\) | 3.05603e10 | 0.763909 | 0.381955 | − | 0.924181i | \(-0.375251\pi\) | ||||
0.381955 | + | 0.924181i | \(0.375251\pi\) | |||||||
\(228\) | 2.01324e9 | − | 2.73706e10i | 0.0493388 | − | 0.670777i | ||||
\(229\) | −4.51630e10 | −1.08523 | −0.542616 | − | 0.839981i | \(-0.682566\pi\) | ||||
−0.542616 | + | 0.839981i | \(0.682566\pi\) | |||||||
\(230\) | 5.24122e9 | − | 9.07806e9i | 0.123497 | − | 0.213903i | ||||
\(231\) | 2.46953e10 | − | 4.27734e10i | 0.570637 | − | 0.988371i | ||||
\(232\) | −9.80952e9 | − | 1.69906e10i | −0.222306 | − | 0.385046i | ||||
\(233\) | −9.47607e8 | + | 1.64130e9i | −0.0210633 | + | 0.0364827i | −0.876365 | − | 0.481648i | \(-0.840038\pi\) |
0.855302 | + | 0.518130i | \(0.173372\pi\) | |||||||
\(234\) | −9.70124e9 | − | 1.68030e10i | −0.211522 | − | 0.366367i | ||||
\(235\) | −1.09264e11 | −2.33707 | ||||||||
\(236\) | 2.17162e10 | 0.455700 | ||||||||
\(237\) | 1.87467e10 | + | 3.24702e10i | 0.385973 | + | 0.668525i | ||||
\(238\) | −6.35888e9 | − | 1.10139e10i | −0.128465 | − | 0.222508i | ||||
\(239\) | 6.74111e10 | 1.33641 | 0.668207 | − | 0.743976i | \(-0.267062\pi\) | ||||
0.668207 | + | 0.743976i | \(0.267062\pi\) | |||||||
\(240\) | 2.70050e10 | 0.525403 | ||||||||
\(241\) | 1.60322e10 | + | 2.77686e10i | 0.306137 | + | 0.530245i | 0.977514 | − | 0.210871i | \(-0.0676300\pi\) |
−0.671377 | + | 0.741116i | \(0.734297\pi\) | |||||||
\(242\) | 7.41701e9 | − | 1.28466e10i | 0.139014 | − | 0.240780i | ||||
\(243\) | −3.52310e10 | − | 6.10219e10i | −0.648181 | − | 1.12268i | ||||
\(244\) | −1.82445e10 | + | 3.16004e10i | −0.329517 | + | 0.570740i | ||||
\(245\) | 8.20421e9 | − | 1.42101e10i | 0.145475 | − | 0.251971i | ||||
\(246\) | −4.93659e10 | −0.859447 | ||||||||
\(247\) | 3.89260e10 | − | 1.88119e10i | 0.665431 | − | 0.321585i | ||||
\(248\) | 3.65993e10 | 0.614384 | ||||||||
\(249\) | −1.48485e10 | + | 2.57183e10i | −0.244785 | + | 0.423980i | ||||
\(250\) | 1.50411e10 | − | 2.60519e10i | 0.243528 | − | 0.421802i | ||||
\(251\) | −5.49346e10 | − | 9.51496e10i | −0.873604 | − | 1.51313i | −0.858243 | − | 0.513244i | \(-0.828444\pi\) |
−0.0153608 | − | 0.999882i | \(-0.504890\pi\) | |||||||
\(252\) | −1.41106e10 | + | 2.44403e10i | −0.220416 | + | 0.381772i | ||||
\(253\) | −5.67501e9 | − | 9.82941e9i | −0.0870812 | − | 0.150829i | ||||
\(254\) | −5.32361e10 | −0.802517 | ||||||||
\(255\) | 4.73401e10 | 0.701129 | ||||||||
\(256\) | −2.14748e9 | − | 3.71955e9i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.94059e9 | − | 3.36120e9i | −0.0277481 | − | 0.0480612i | 0.851818 | − | 0.523838i | \(-0.175500\pi\) |
−0.879566 | + | 0.475777i | \(0.842167\pi\) | |||||||
\(258\) | −1.28289e11 | −1.80261 | ||||||||
\(259\) | −3.12926e10 | −0.432108 | ||||||||
\(260\) | 2.12704e10 | + | 3.68414e10i | 0.288666 | + | 0.499984i | ||||
\(261\) | −3.81591e10 | + | 6.60935e10i | −0.508997 | + | 0.881609i | ||||
\(262\) | 3.32851e10 | + | 5.76515e10i | 0.436410 | + | 0.755884i | ||||
\(263\) | 7.66595e9 | − | 1.32778e10i | 0.0988018 | − | 0.171130i | −0.812387 | − | 0.583118i | \(-0.801832\pi\) |
0.911189 | + | 0.411989i | \(0.135166\pi\) | |||||||
\(264\) | 1.46200e10 | − | 2.53226e10i | 0.185238 | − | 0.320842i | ||||
\(265\) | 8.39862e10 | 1.04617 | ||||||||
\(266\) | −5.20055e10 | − | 3.53519e10i | −0.636916 | − | 0.432958i | ||||
\(267\) | 1.94864e11 | 2.34656 | ||||||||
\(268\) | 2.30956e10 | − | 4.00027e10i | 0.273478 | − | 0.473677i | ||||
\(269\) | 4.88672e10 | − | 8.46405e10i | 0.569026 | − | 0.985582i | −0.427636 | − | 0.903951i | \(-0.640654\pi\) |
0.996663 | − | 0.0816316i | \(-0.0260131\pi\) | |||||||
\(270\) | 1.23604e10 | + | 2.14088e10i | 0.141545 | + | 0.245163i | ||||
\(271\) | −1.41690e10 | + | 2.45415e10i | −0.159580 | + | 0.276401i | −0.934717 | − | 0.355392i | \(-0.884347\pi\) |
0.775137 | + | 0.631793i | \(0.217681\pi\) | |||||||
\(272\) | −3.76457e9 | − | 6.52042e9i | −0.0417018 | − | 0.0722297i | ||||
\(273\) | −9.93751e10 | −1.08279 | ||||||||
\(274\) | −6.99811e10 | −0.750072 | ||||||||
\(275\) | −5.32256e10 | − | 9.21894e10i | −0.561207 | − | 0.972040i | ||||
\(276\) | 7.24836e9 | + | 1.25545e10i | 0.0751880 | + | 0.130229i | ||||
\(277\) | −5.34624e10 | −0.545619 | −0.272809 | − | 0.962068i | \(-0.587953\pi\) | ||||
−0.272809 | + | 0.962068i | \(0.587953\pi\) | |||||||
\(278\) | 5.09501e10 | 0.511615 | ||||||||
\(279\) | −7.11857e10 | − | 1.23297e11i | −0.703353 | − | 1.21824i | ||||
\(280\) | 3.09381e10 | − | 5.35863e10i | 0.300803 | − | 0.521006i | ||||
\(281\) | 8.83508e10 | + | 1.53028e11i | 0.845342 | + | 1.46417i | 0.885324 | + | 0.464974i | \(0.153936\pi\) |
−0.0399826 | + | 0.999200i | \(0.512730\pi\) | |||||||
\(282\) | 7.55533e10 | − | 1.30862e11i | 0.711430 | − | 1.23223i | ||||
\(283\) | 2.76970e10 | − | 4.79727e10i | 0.256681 | − | 0.444585i | −0.708669 | − | 0.705541i | \(-0.750704\pi\) |
0.965351 | + | 0.260955i | \(0.0840375\pi\) | |||||||
\(284\) | −3.67045e10 | −0.334801 | ||||||||
\(285\) | 2.10754e11 | − | 1.01852e11i | 1.89223 | − | 0.914463i | ||||
\(286\) | 4.60617e10 | 0.407092 | ||||||||
\(287\) | −5.65558e10 | + | 9.79575e10i | −0.492049 | + | 0.852254i | ||||
\(288\) | −8.35372e9 | + | 1.44691e10i | −0.0715507 | + | 0.123929i | ||||
\(289\) | 5.26946e10 | + | 9.12697e10i | 0.444351 | + | 0.769638i | ||||
\(290\) | 8.36654e10 | − | 1.44913e11i | 0.694632 | − | 1.20314i | ||||
\(291\) | −5.22516e10 | − | 9.05024e10i | −0.427151 | − | 0.739847i | ||||
\(292\) | −1.93271e10 | −0.155576 | ||||||||
\(293\) | −8.74370e10 | −0.693092 | −0.346546 | − | 0.938033i | \(-0.612646\pi\) | ||||
−0.346546 | + | 0.938033i | \(0.612646\pi\) | |||||||
\(294\) | 1.13460e10 | + | 1.96519e10i | 0.0885689 | + | 0.153406i | ||||
\(295\) | 9.26086e10 | + | 1.60403e11i | 0.711954 | + | 1.23314i | ||||
\(296\) | −1.85257e10 | −0.140269 | ||||||||
\(297\) | 2.67668e10 | 0.199614 | ||||||||
\(298\) | −2.28951e10 | − | 3.96555e10i | −0.168178 | − | 0.291293i | ||||
\(299\) | −1.14183e10 | + | 1.97771e10i | −0.0826192 | + | 0.143101i | ||||
\(300\) | 6.79819e10 | + | 1.17748e11i | 0.484560 | + | 0.839282i | ||||
\(301\) | −1.46974e11 | + | 2.54566e11i | −1.03203 | + | 1.78752i | ||||
\(302\) | −2.30475e10 | + | 3.99194e10i | −0.159438 | + | 0.276155i | ||||
\(303\) | 2.19497e11 | 1.49602 | ||||||||
\(304\) | −3.07882e10 | − | 2.09290e10i | −0.206753 | − | 0.140545i | ||||
\(305\) | −3.11215e11 | −2.05926 | ||||||||
\(306\) | −1.46442e10 | + | 2.53645e10i | −0.0954814 | + | 0.165379i | ||||
\(307\) | −1.53591e11 | + | 2.66027e11i | −0.986830 | + | 1.70924i | −0.353325 | + | 0.935501i | \(0.614949\pi\) |
−0.633505 | + | 0.773739i | \(0.718384\pi\) | |||||||
\(308\) | −3.34987e10 | − | 5.80215e10i | −0.212104 | − | 0.367376i | ||||
\(309\) | −1.10479e11 | + | 1.91356e11i | −0.689394 | + | 1.19406i | ||||
\(310\) | 1.56078e11 | + | 2.70334e11i | 0.959871 | + | 1.66255i | ||||
\(311\) | 2.76594e11 | 1.67657 | 0.838283 | − | 0.545235i | \(-0.183560\pi\) | ||||
0.838283 | + | 0.545235i | \(0.183560\pi\) | |||||||
\(312\) | −5.88318e10 | −0.351493 | ||||||||
\(313\) | −1.07591e11 | − | 1.86354e11i | −0.633619 | − | 1.09746i | −0.986806 | − | 0.161908i | \(-0.948235\pi\) |
0.353187 | − | 0.935553i | \(-0.385098\pi\) | |||||||
\(314\) | −4.39986e10 | − | 7.62078e10i | −0.255420 | − | 0.442401i | ||||
\(315\) | −2.40699e11 | −1.37745 | ||||||||
\(316\) | 5.08591e10 | 0.286931 | ||||||||
\(317\) | 4.12686e10 | + | 7.14793e10i | 0.229537 | + | 0.397570i | 0.957671 | − | 0.287865i | \(-0.0929454\pi\) |
−0.728134 | + | 0.685435i | \(0.759612\pi\) | |||||||
\(318\) | −5.80745e10 | + | 1.00588e11i | −0.318466 | + | 0.551599i | ||||
\(319\) | −9.05900e10 | − | 1.56907e11i | −0.489804 | − | 0.848365i | ||||
\(320\) | 1.83159e10 | − | 3.17241e10i | 0.0976457 | − | 0.169127i | ||||
\(321\) | 1.55792e11 | − | 2.69839e11i | 0.818977 | − | 1.41851i | ||||
\(322\) | 3.32162e10 | 0.172186 | ||||||||
\(323\) | −5.39721e10 | − | 3.66887e10i | −0.275904 | − | 0.187552i | ||||
\(324\) | −1.14474e11 | −0.577104 | ||||||||
\(325\) | −1.07091e11 | + | 1.85488e11i | −0.532451 | + | 0.922232i | ||||
\(326\) | −1.26369e11 | + | 2.18877e11i | −0.619671 | + | 1.07330i | ||||
\(327\) | 5.94889e10 | + | 1.03038e11i | 0.287721 | + | 0.498347i | ||||
\(328\) | −3.34820e10 | + | 5.79926e10i | −0.159727 | + | 0.276656i | ||||
\(329\) | −1.73114e11 | − | 2.99843e11i | −0.814614 | − | 1.41095i | ||||
\(330\) | 2.49388e11 | 1.15761 | ||||||||
\(331\) | −3.68203e11 | −1.68601 | −0.843007 | − | 0.537903i | \(-0.819217\pi\) | ||||
−0.843007 | + | 0.537903i | \(0.819217\pi\) | |||||||
\(332\) | 2.01417e10 | + | 3.48865e10i | 0.0909861 | + | 0.157593i | ||||
\(333\) | 3.60326e10 | + | 6.24103e10i | 0.160582 | + | 0.278136i | ||||
\(334\) | −2.65712e9 | −0.0116829 | ||||||||
\(335\) | 3.93964e11 | 1.70905 | ||||||||
\(336\) | 4.27859e10 | + | 7.41074e10i | 0.183136 | + | 0.317201i | ||||
\(337\) | 4.02171e9 | − | 6.96580e9i | 0.0169854 | − | 0.0294196i | −0.857408 | − | 0.514638i | \(-0.827926\pi\) |
0.874393 | + | 0.485218i | \(0.161260\pi\) | |||||||
\(338\) | 3.84973e10 | + | 6.66792e10i | 0.160437 | + | 0.277885i | ||||
\(339\) | 3.04693e11 | − | 5.27744e11i | 1.25304 | − | 2.17032i | ||||
\(340\) | 3.21080e10 | − | 5.56127e10i | 0.130304 | − | 0.225693i | ||||
\(341\) | 3.37991e11 | 1.35366 | ||||||||
\(342\) | −1.06233e10 | + | 1.44427e11i | −0.0419896 | + | 0.570863i | ||||
\(343\) | −2.27201e11 | −0.886312 | ||||||||
\(344\) | −8.70112e10 | + | 1.50708e11i | −0.335013 | + | 0.580260i | ||||
\(345\) | −6.18213e10 | + | 1.07078e11i | −0.234937 | + | 0.406923i | ||||
\(346\) | 4.12452e10 | + | 7.14387e10i | 0.154714 | + | 0.267973i | ||||
\(347\) | 5.75021e10 | − | 9.95966e10i | 0.212913 | − | 0.368775i | −0.739712 | − | 0.672923i | \(-0.765038\pi\) |
0.952625 | + | 0.304148i | \(0.0983717\pi\) | |||||||
\(348\) | 1.15705e11 | + | 2.00407e11i | 0.422909 | + | 0.732499i | ||||
\(349\) | 2.19182e11 | 0.790843 | 0.395421 | − | 0.918500i | \(-0.370599\pi\) | ||||
0.395421 | + | 0.918500i | \(0.370599\pi\) | |||||||
\(350\) | 3.11532e11 | 1.10968 | ||||||||
\(351\) | −2.69278e10 | − | 4.66403e10i | −0.0946931 | − | 0.164013i | ||||
\(352\) | −1.98318e10 | − | 3.43497e10i | −0.0688526 | − | 0.119256i | ||||
\(353\) | −2.27691e11 | −0.780475 | −0.390237 | − | 0.920714i | \(-0.627607\pi\) | ||||
−0.390237 | + | 0.920714i | \(0.627607\pi\) | |||||||
\(354\) | −2.56146e11 | −0.866909 | ||||||||
\(355\) | −1.56526e11 | − | 2.71112e11i | −0.523070 | − | 0.905985i | ||||
\(356\) | 1.32165e11 | − | 2.28917e11i | 0.436106 | − | 0.755357i | ||||
\(357\) | 7.50043e10 | + | 1.29911e11i | 0.244387 | + | 0.423292i | ||||
\(358\) | 1.81316e11 | − | 3.14048e11i | 0.583394 | − | 1.01047i | ||||
\(359\) | −2.52112e10 | + | 4.36670e10i | −0.0801066 | + | 0.138749i | −0.903296 | − | 0.429019i | \(-0.858859\pi\) |
0.823189 | + | 0.567767i | \(0.192193\pi\) | |||||||
\(360\) | −1.42498e11 | −0.447144 | ||||||||
\(361\) | −3.19215e11 | − | 4.72149e10i | −0.989238 | − | 0.146318i | ||||
\(362\) | 3.19081e11 | 0.976591 | ||||||||
\(363\) | −8.74851e10 | + | 1.51529e11i | −0.264457 | + | 0.458052i | ||||
\(364\) | −6.74004e10 | + | 1.16741e11i | −0.201236 | + | 0.348551i | ||||
\(365\) | −8.24203e10 | − | 1.42756e11i | −0.243062 | − | 0.420995i | ||||
\(366\) | 2.15198e11 | − | 3.72733e11i | 0.626863 | − | 1.08576i | ||||
\(367\) | −2.41691e11 | − | 4.18622e11i | −0.695447 | − | 1.20455i | −0.970030 | − | 0.242986i | \(-0.921873\pi\) |
0.274583 | − | 0.961563i | \(-0.411460\pi\) | |||||||
\(368\) | 1.96646e10 | 0.0558945 | ||||||||
\(369\) | 2.60491e11 | 0.731431 | ||||||||
\(370\) | −7.90031e10 | − | 1.36837e11i | −0.219147 | − | 0.379574i | ||||
\(371\) | 1.33065e11 | + | 2.30476e11i | 0.364655 | + | 0.631602i | ||||
\(372\) | −4.31696e11 | −1.16878 | ||||||||
\(373\) | −1.96088e11 | −0.524520 | −0.262260 | − | 0.964997i | \(-0.584468\pi\) | ||||
−0.262260 | + | 0.964997i | \(0.584468\pi\) | |||||||
\(374\) | −3.47655e10 | − | 6.02155e10i | −0.0918810 | − | 0.159143i | ||||
\(375\) | −1.77412e11 | + | 3.07287e11i | −0.463279 | + | 0.802423i | ||||
\(376\) | −1.02487e11 | − | 1.77512e11i | −0.264437 | − | 0.458019i | ||||
\(377\) | −1.82270e11 | + | 3.15701e11i | −0.464706 | + | 0.804895i | ||||
\(378\) | −3.91669e10 | + | 6.78390e10i | −0.0986746 | + | 0.170909i | ||||
\(379\) | −2.07237e9 | −0.00515931 | −0.00257965 | − | 0.999997i | \(-0.500821\pi\) | ||||
−0.00257965 | + | 0.999997i | \(0.500821\pi\) | |||||||
\(380\) | 2.32921e10 | − | 3.16663e11i | 0.0573036 | − | 0.779061i | ||||
\(381\) | 6.27930e11 | 1.52668 | ||||||||
\(382\) | −1.69122e11 | + | 2.92929e11i | −0.406365 | + | 0.703845i | ||||
\(383\) | −8.46482e10 | + | 1.46615e11i | −0.201013 | + | 0.348164i | −0.948855 | − | 0.315712i | \(-0.897757\pi\) |
0.747842 | + | 0.663876i | \(0.231090\pi\) | |||||||
\(384\) | 2.53300e10 | + | 4.38729e10i | 0.0594490 | + | 0.102969i | ||||
\(385\) | 2.85711e11 | − | 4.94865e11i | 0.662755 | − | 1.14793i | ||||
\(386\) | −2.14860e11 | − | 3.72148e11i | −0.492621 | − | 0.853244i | ||||
\(387\) | 6.76948e11 | 1.53411 | ||||||||
\(388\) | −1.41757e11 | −0.317542 | ||||||||
\(389\) | 6.96735e10 | + | 1.20678e11i | 0.154275 | + | 0.267211i | 0.932795 | − | 0.360408i | \(-0.117363\pi\) |
−0.778520 | + | 0.627620i | \(0.784029\pi\) | |||||||
\(390\) | −2.50888e11 | − | 4.34551e11i | −0.549149 | − | 0.951153i | ||||
\(391\) | 3.44722e10 | 0.0745889 | ||||||||
\(392\) | 3.07814e10 | 0.0658418 | ||||||||
\(393\) | −3.92605e11 | − | 6.80011e11i | −0.830212 | − | 1.43797i | ||||
\(394\) | 6.71730e10 | − | 1.16347e11i | 0.140431 | − | 0.243233i | ||||
\(395\) | 2.16889e11 | + | 3.75663e11i | 0.448281 | + | 0.776446i | ||||
\(396\) | −7.71459e10 | + | 1.33621e11i | −0.157647 | + | 0.273052i | ||||
\(397\) | 7.98038e10 | − | 1.38224e11i | 0.161238 | − | 0.279272i | −0.774075 | − | 0.633094i | \(-0.781785\pi\) |
0.935313 | + | 0.353822i | \(0.115118\pi\) | |||||||
\(398\) | 6.74143e11 | 1.34672 | ||||||||
\(399\) | 6.13416e11 | + | 4.16983e11i | 1.21165 | + | 0.823646i | ||||
\(400\) | 1.84433e11 | 0.360220 | ||||||||
\(401\) | −2.37185e11 | + | 4.10816e11i | −0.458076 | + | 0.793411i | −0.998859 | − | 0.0477512i | \(-0.984795\pi\) |
0.540783 | + | 0.841162i | \(0.318128\pi\) | |||||||
\(402\) | −2.72417e11 | + | 4.71840e11i | −0.520256 | + | 0.901109i | ||||
\(403\) | −3.40024e11 | − | 5.88939e11i | −0.642150 | − | 1.11224i | ||||
\(404\) | 1.48872e11 | − | 2.57854e11i | 0.278034 | − | 0.481568i | ||||
\(405\) | −4.88174e11 | − | 8.45542e11i | −0.901627 | − | 1.56166i | ||||
\(406\) | 5.30229e11 | 0.968492 | ||||||||
\(407\) | −1.71084e11 | −0.309053 | ||||||||
\(408\) | 4.44038e10 | + | 7.69097e10i | 0.0793323 | + | 0.137407i | ||||
\(409\) | 4.63708e11 | + | 8.03165e11i | 0.819387 | + | 1.41922i | 0.906134 | + | 0.422990i | \(0.139020\pi\) |
−0.0867467 | + | 0.996230i | \(0.527647\pi\) | |||||||
\(410\) | −5.71137e11 | −0.998189 | ||||||||
\(411\) | 8.25441e11 | 1.42691 | ||||||||
\(412\) | 1.49863e11 | + | 2.59571e11i | 0.256246 | + | 0.443832i | ||||
\(413\) | −2.93453e11 | + | 5.08275e11i | −0.496321 | + | 0.859654i | ||||
\(414\) | −3.82476e10 | − | 6.62468e10i | −0.0639886 | − | 0.110832i | ||||
\(415\) | −1.71789e11 | + | 2.97547e11i | −0.284301 | + | 0.492424i | ||||
\(416\) | −3.99022e10 | + | 6.91127e10i | −0.0653246 | + | 0.113146i | ||||
\(417\) | −6.00967e11 | −0.973281 | ||||||||
\(418\) | −2.84326e11 | − | 1.93277e11i | −0.455537 | − | 0.309661i | ||||
\(419\) | −2.28844e11 | −0.362724 | −0.181362 | − | 0.983416i | \(-0.558051\pi\) | ||||
−0.181362 | + | 0.983416i | \(0.558051\pi\) | |||||||
\(420\) | −3.64921e11 | + | 6.32062e11i | −0.572239 | + | 0.991146i | ||||
\(421\) | 5.76474e11 | − | 9.98483e11i | 0.894356 | − | 1.54907i | 0.0597573 | − | 0.998213i | \(-0.480967\pi\) |
0.834599 | − | 0.550858i | \(-0.185699\pi\) | |||||||
\(422\) | −5.10122e10 | − | 8.83558e10i | −0.0783012 | − | 0.135622i | ||||
\(423\) | −3.98674e11 | + | 6.90524e11i | −0.605461 | + | 1.04869i | ||||
\(424\) | 7.87771e10 | + | 1.36446e11i | 0.118373 | + | 0.205028i | ||||
\(425\) | 3.23313e11 | 0.480698 | ||||||||
\(426\) | 4.32937e11 | 0.636915 | ||||||||
\(427\) | −4.93080e11 | − | 8.54040e11i | −0.717781 | − | 1.24323i | ||||
\(428\) | −2.11329e11 | − | 3.66032e11i | −0.304412 | − | 0.527257i | ||||
\(429\) | −5.43307e11 | −0.774439 | ||||||||
\(430\) | −1.48424e12 | −2.09361 | ||||||||
\(431\) | 5.46111e11 | + | 9.45892e11i | 0.762313 | + | 1.32036i | 0.941656 | + | 0.336578i | \(0.109270\pi\) |
−0.179343 | + | 0.983787i | \(0.557397\pi\) | |||||||
\(432\) | −2.31875e10 | + | 4.01619e10i | −0.0320314 | + | 0.0554801i | ||||
\(433\) | 4.68151e11 | + | 8.10862e11i | 0.640016 | + | 1.10854i | 0.985429 | + | 0.170089i | \(0.0544055\pi\) |
−0.345413 | + | 0.938451i | \(0.612261\pi\) | |||||||
\(434\) | −4.94570e11 | + | 8.56620e11i | −0.669151 | + | 1.15900i | ||||
\(435\) | −9.86850e11 | + | 1.70927e12i | −1.32145 | + | 2.28881i | ||||
\(436\) | 1.61392e11 | 0.213891 | ||||||||
\(437\) | 1.53468e11 | − | 7.41667e10i | 0.201303 | − | 0.0972842i | ||||
\(438\) | 2.27967e11 | 0.295963 | ||||||||
\(439\) | 6.73033e10 | − | 1.16573e11i | 0.0864860 | − | 0.149798i | −0.819537 | − | 0.573026i | \(-0.805770\pi\) |
0.906023 | + | 0.423227i | \(0.139103\pi\) | |||||||
\(440\) | 1.69146e11 | − | 2.92969e11i | 0.215141 | − | 0.372636i | ||||
\(441\) | −5.98700e10 | − | 1.03698e11i | −0.0753764 | − | 0.130556i | ||||
\(442\) | −6.99491e10 | + | 1.21155e11i | −0.0871730 | + | 0.150988i | ||||
\(443\) | −2.83345e10 | − | 4.90768e10i | −0.0349541 | − | 0.0605424i | 0.848019 | − | 0.529966i | \(-0.177795\pi\) |
−0.882973 | + | 0.469423i | \(0.844462\pi\) | |||||||
\(444\) | 2.18515e11 | 0.266844 | ||||||||
\(445\) | 2.25447e12 | 2.72537 | ||||||||
\(446\) | −3.64781e9 | − | 6.31820e9i | −0.00436542 | − | 0.00756113i | ||||
\(447\) | 2.70053e11 | + | 4.67745e11i | 0.319937 | + | 0.554148i | ||||
\(448\) | 1.16077e11 | 0.136143 | ||||||||
\(449\) | 9.25835e11 | 1.07504 | 0.537521 | − | 0.843251i | \(-0.319361\pi\) | ||||
0.537521 | + | 0.843251i | \(0.319361\pi\) | |||||||
\(450\) | −3.58722e11 | − | 6.21325e11i | −0.412384 | − | 0.714270i | ||||
\(451\) | −3.09204e11 | + | 5.35556e11i | −0.351925 | + | 0.609552i | ||||
\(452\) | −4.13311e11 | − | 7.15876e11i | −0.465751 | − | 0.806705i | ||||
\(453\) | 2.71850e11 | − | 4.70858e11i | 0.303310 | − | 0.525349i | ||||
\(454\) | −2.44483e11 | + | 4.23456e11i | −0.270083 | + | 0.467797i | ||||
\(455\) | −1.14972e12 | −1.25759 | ||||||||
\(456\) | 3.63153e11 | + | 2.46861e11i | 0.393321 | + | 0.267369i | ||||
\(457\) | −8.34766e11 | −0.895245 | −0.447622 | − | 0.894223i | \(-0.647729\pi\) | ||||
−0.447622 | + | 0.894223i | \(0.647729\pi\) | |||||||
\(458\) | 3.61304e11 | − | 6.25796e11i | 0.383688 | − | 0.664566i | ||||
\(459\) | −4.06479e10 | + | 7.04043e10i | −0.0427446 | + | 0.0740358i | ||||
\(460\) | 8.38595e10 | + | 1.45249e11i | 0.0873257 | + | 0.151253i | ||||
\(461\) | −1.29091e11 | + | 2.23591e11i | −0.133119 | + | 0.230569i | −0.924877 | − | 0.380266i | \(-0.875833\pi\) |
0.791758 | + | 0.610834i | \(0.209166\pi\) | |||||||
\(462\) | 3.95124e11 | + | 6.84375e11i | 0.403501 | + | 0.698884i | ||||
\(463\) | 8.08979e11 | 0.818131 | 0.409066 | − | 0.912505i | \(-0.365855\pi\) | ||||
0.409066 | + | 0.912505i | \(0.365855\pi\) | |||||||
\(464\) | 3.13905e11 | 0.314389 | ||||||||
\(465\) | −1.84097e12 | − | 3.18865e12i | −1.82603 | − | 3.16277i | ||||
\(466\) | −1.51617e10 | − | 2.62609e10i | −0.0148940 | − | 0.0257972i | ||||
\(467\) | −3.08478e11 | −0.300122 | −0.150061 | − | 0.988677i | \(-0.547947\pi\) | ||||
−0.150061 | + | 0.988677i | \(0.547947\pi\) | |||||||
\(468\) | 3.10440e11 | 0.299137 | ||||||||
\(469\) | 6.24186e11 | + | 1.08112e12i | 0.595712 | + | 1.03180i | ||||
\(470\) | 8.74110e11 | − | 1.51400e12i | 0.826277 | − | 1.43115i | ||||
\(471\) | 5.18972e11 | + | 8.98886e11i | 0.485903 | + | 0.841609i | ||||
\(472\) | −1.73729e11 | + | 3.00908e11i | −0.161114 | + | 0.279058i | ||||
\(473\) | −8.03541e11 | + | 1.39177e12i | −0.738130 | + | 1.27848i | ||||
\(474\) | −5.99894e11 | −0.545848 | ||||||||
\(475\) | 1.43936e12 | − | 6.95604e11i | 1.29733 | − | 0.626962i | ||||
\(476\) | 2.03484e11 | 0.181677 | ||||||||
\(477\) | 3.06443e11 | − | 5.30775e11i | 0.271030 | − | 0.469438i | ||||
\(478\) | −5.39289e11 | + | 9.34076e11i | −0.472494 | + | 0.818383i | ||||
\(479\) | 1.25271e11 | + | 2.16976e11i | 0.108728 | + | 0.188322i | 0.915255 | − | 0.402875i | \(-0.131989\pi\) |
−0.806527 | + | 0.591197i | \(0.798656\pi\) | |||||||
\(480\) | −2.16040e11 | + | 3.74192e11i | −0.185758 | + | 0.321743i | ||||
\(481\) | 1.72113e11 | + | 2.98108e11i | 0.146609 | + | 0.253934i | ||||
\(482\) | −5.13030e11 | −0.432943 | ||||||||
\(483\) | −3.91791e11 | −0.327562 | ||||||||
\(484\) | 1.18672e11 | + | 2.05546e11i | 0.0982980 | + | 0.170257i | ||||
\(485\) | −6.04522e11 | − | 1.04706e12i | −0.496106 | − | 0.859281i | ||||
\(486\) | 1.12739e12 | 0.916667 | ||||||||
\(487\) | −1.38791e12 | −1.11810 | −0.559052 | − | 0.829133i | \(-0.688835\pi\) | ||||
−0.559052 | + | 0.829133i | \(0.688835\pi\) | |||||||
\(488\) | −2.91912e11 | − | 5.05606e11i | −0.233004 | − | 0.403574i | ||||
\(489\) | 1.49055e12 | − | 2.58170e12i | 1.17884 | − | 2.04182i | ||||
\(490\) | 1.31267e11 | + | 2.27362e11i | 0.102867 | + | 0.178170i | ||||
\(491\) | 1.93342e11 | − | 3.34879e11i | 0.150127 | − | 0.260028i | −0.781147 | − | 0.624348i | \(-0.785365\pi\) |
0.931274 | + | 0.364319i | \(0.118698\pi\) | |||||||
\(492\) | 3.94927e11 | − | 6.84034e11i | 0.303860 | − | 0.526302i | ||||
\(493\) | 5.50279e11 | 0.419538 | ||||||||
\(494\) | −5.07431e10 | + | 6.89869e11i | −0.0383359 | + | 0.521189i | ||||
\(495\) | −1.31595e12 | −0.985185 | ||||||||
\(496\) | −2.92794e11 | + | 5.07134e11i | −0.217217 | + | 0.376232i | ||||
\(497\) | 4.95992e11 | − | 8.59084e11i | 0.364646 | − | 0.631585i | ||||
\(498\) | −2.37576e11 | − | 4.11493e11i | −0.173089 | − | 0.299799i | ||||
\(499\) | −6.42263e11 | + | 1.11243e12i | −0.463725 | + | 0.803195i | −0.999143 | − | 0.0413922i | \(-0.986821\pi\) |
0.535418 | + | 0.844587i | \(0.320154\pi\) | |||||||
\(500\) | 2.40657e11 | + | 4.16830e11i | 0.172200 | + | 0.298259i | ||||
\(501\) | 3.13412e10 | 0.0222252 | ||||||||
\(502\) | 1.75791e12 | 1.23546 | ||||||||
\(503\) | −2.47510e11 | − | 4.28700e11i | −0.172400 | − | 0.298605i | 0.766859 | − | 0.641816i | \(-0.221819\pi\) |
−0.939258 | + | 0.343211i | \(0.888485\pi\) | |||||||
\(504\) | −2.25770e11 | − | 3.91044e11i | −0.155858 | − | 0.269953i | ||||
\(505\) | 2.53946e12 | 1.73752 | ||||||||
\(506\) | 1.81600e11 | 0.123151 | ||||||||
\(507\) | −4.54083e11 | − | 7.86495e11i | −0.305211 | − | 0.528640i | ||||
\(508\) | 4.25889e11 | − | 7.37661e11i | 0.283733 | − | 0.491439i | ||||
\(509\) | 1.10606e11 | + | 1.91575e11i | 0.0730377 | + | 0.126505i | 0.900231 | − | 0.435412i | \(-0.143397\pi\) |
−0.827194 | + | 0.561917i | \(0.810064\pi\) | |||||||
\(510\) | −3.78720e11 | + | 6.55963e11i | −0.247887 | + | 0.429352i | ||||
\(511\) | 2.61169e11 | − | 4.52358e11i | 0.169444 | − | 0.293486i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | −2.94872e10 | + | 4.00888e11i | −0.0187977 | + | 0.255561i | ||||
\(514\) | 6.20988e10 | 0.0392418 | ||||||||
\(515\) | −1.27818e12 | + | 2.21388e12i | −0.800683 | + | 1.38682i | ||||
\(516\) | 1.02631e12 | − | 1.77763e12i | 0.637319 | − | 1.10387i | ||||
\(517\) | −9.46457e11 | − | 1.63931e12i | −0.582631 | − | 1.00915i | ||||
\(518\) | 2.50341e11 | − | 4.33603e11i | 0.152773 | − | 0.264611i | ||||
\(519\) | −4.86495e11 | − | 8.42634e11i | −0.294324 | − | 0.509784i | ||||
\(520\) | −6.80652e11 | −0.408235 | ||||||||
\(521\) | −1.96389e12 | −1.16774 | −0.583872 | − | 0.811846i | \(-0.698463\pi\) | ||||
−0.583872 | + | 0.811846i | \(0.698463\pi\) | |||||||
\(522\) | −6.10545e11 | − | 1.05750e12i | −0.359916 | − | 0.623392i | ||||
\(523\) | −4.89915e11 | − | 8.48558e11i | −0.286328 | − | 0.495934i | 0.686603 | − | 0.727033i | \(-0.259101\pi\) |
−0.972930 | + | 0.231099i | \(0.925768\pi\) | |||||||
\(524\) | −1.06512e12 | −0.617176 | ||||||||
\(525\) | −3.67459e12 | −2.11102 | ||||||||
\(526\) | 1.22655e11 | + | 2.12445e11i | 0.0698634 | + | 0.121007i | ||||
\(527\) | −5.13272e11 | + | 8.89013e11i | −0.289868 | + | 0.502066i | ||||
\(528\) | 2.33920e11 | + | 4.05162e11i | 0.130983 | + | 0.226869i | ||||
\(529\) | 8.55559e11 | − | 1.48187e12i | 0.475006 | − | 0.822735i | ||||
\(530\) | −6.71890e11 | + | 1.16375e12i | −0.369876 | + | 0.640645i | ||||
\(531\) | 1.35162e12 | 0.737781 | ||||||||
\(532\) | 9.05895e11 | − | 4.37794e11i | 0.490315 | − | 0.236956i | ||||
\(533\) | 1.24425e12 | 0.667785 | ||||||||
\(534\) | −1.55891e12 | + | 2.70012e12i | −0.829634 | + | 1.43697i | ||||
\(535\) | 1.80242e12 | − | 3.12189e12i | 0.951185 | − | 1.64750i | ||||
\(536\) | 3.69529e11 | + | 6.40043e11i | 0.193378 | + | 0.334941i | ||||
\(537\) | −2.13866e12 | + | 3.70426e12i | −1.10983 | + | 1.92228i | ||||
\(538\) | 7.81875e11 | + | 1.35425e12i | 0.402362 | + | 0.696912i | ||||
\(539\) | 2.84264e11 | 0.145068 | ||||||||
\(540\) | −3.95532e11 | −0.200175 | ||||||||
\(541\) | −2.90238e11 | − | 5.02706e11i | −0.145669 | − | 0.252305i | 0.783954 | − | 0.620819i | \(-0.213200\pi\) |
−0.929622 | + | 0.368514i | \(0.879867\pi\) | |||||||
\(542\) | −2.26705e11 | − | 3.92664e11i | −0.112840 | − | 0.195445i | ||||
\(543\) | −3.76363e12 | −1.85784 | ||||||||
\(544\) | 1.20466e11 | 0.0589753 | ||||||||
\(545\) | 6.88254e11 | + | 1.19209e12i | 0.334168 | + | 0.578796i | ||||
\(546\) | 7.95001e11 | − | 1.37698e12i | 0.382826 | − | 0.663073i | ||||
\(547\) | 2.01741e10 | + | 3.49426e10i | 0.00963500 | + | 0.0166883i | 0.870803 | − | 0.491633i | \(-0.163600\pi\) |
−0.861168 | + | 0.508321i | \(0.830266\pi\) | |||||||
\(548\) | 5.59848e11 | − | 9.69686e11i | 0.265190 | − | 0.459323i | ||||
\(549\) | −1.13554e12 | + | 1.96681e12i | −0.533490 | + | 0.924032i | ||||
\(550\) | 1.70322e12 | 0.793667 | ||||||||
\(551\) | 2.44980e12 | − | 1.18392e12i | 1.13226 | − | 0.547192i | ||||
\(552\) | −2.31947e11 | −0.106332 | ||||||||
\(553\) | −6.87265e11 | + | 1.19038e12i | −0.312508 | + | 0.541280i | ||||
\(554\) | 4.27699e11 | − | 7.40797e11i | 0.192905 | − | 0.334122i | ||||
\(555\) | 9.31857e11 | + | 1.61402e12i | 0.416899 | + | 0.722090i | ||||
\(556\) | −4.07601e11 | + | 7.05985e11i | −0.180883 | + | 0.313299i | ||||
\(557\) | −7.18163e11 | − | 1.24389e12i | −0.316136 | − | 0.547564i | 0.663542 | − | 0.748139i | \(-0.269052\pi\) |
−0.979678 | + | 0.200575i | \(0.935719\pi\) | |||||||
\(558\) | 2.27794e12 | 0.994692 | ||||||||
\(559\) | 3.23350e12 | 1.40062 | ||||||||
\(560\) | 4.95009e11 | + | 8.57382e11i | 0.212700 | + | 0.368407i | ||||
\(561\) | 4.10066e11 | + | 7.10254e11i | 0.174792 | + | 0.302748i | ||||
\(562\) | −2.82723e12 | −1.19549 | ||||||||
\(563\) | −1.73146e12 | −0.726317 | −0.363158 | − | 0.931727i | \(-0.618302\pi\) | ||||
−0.363158 | + | 0.931727i | \(0.618302\pi\) | |||||||
\(564\) | 1.20885e12 | + | 2.09379e12i | 0.503057 | + | 0.871321i | ||||
\(565\) | 3.52513e12 | − | 6.10571e12i | 1.45532 | − | 2.52068i | ||||
\(566\) | 4.43153e11 | + | 7.67563e11i | 0.181501 | + | 0.314369i | ||||
\(567\) | 1.54690e12 | − | 2.67931e12i | 0.628547 | − | 1.08868i | ||||
\(568\) | 2.93636e11 | − | 5.08593e11i | 0.118370 | − | 0.205023i | ||||
\(569\) | 9.72739e11 | 0.389037 | 0.194519 | − | 0.980899i | \(-0.437686\pi\) | ||||
0.194519 | + | 0.980899i | \(0.437686\pi\) | |||||||
\(570\) | −2.74735e11 | + | 3.73511e12i | −0.109013 | + | 1.48206i | ||||
\(571\) | 2.32743e12 | 0.916249 | 0.458124 | − | 0.888888i | \(-0.348521\pi\) | ||||
0.458124 | + | 0.888888i | \(0.348521\pi\) | |||||||
\(572\) | −3.68493e11 | + | 6.38249e11i | −0.143929 | + | 0.249292i | ||||
\(573\) | 1.99483e12 | − | 3.45515e12i | 0.773056 | − | 1.33897i | ||||
\(574\) | −9.04893e11 | − | 1.56732e12i | −0.347931 | − | 0.602635i | ||||
\(575\) | −4.22213e11 | + | 7.31295e11i | −0.161074 | + | 0.278989i | ||||
\(576\) | −1.33660e11 | − | 2.31505e11i | −0.0505940 | − | 0.0876313i | ||||
\(577\) | −1.16932e12 | −0.439181 | −0.219590 | − | 0.975592i | \(-0.570472\pi\) | ||||
−0.219590 | + | 0.975592i | \(0.570472\pi\) | |||||||
\(578\) | −1.68623e12 | −0.628407 | ||||||||
\(579\) | 2.53432e12 | + | 4.38956e12i | 0.937146 | + | 1.62318i | ||||
\(580\) | 1.33865e12 | + | 2.31860e12i | 0.491179 | + | 0.850747i | ||||
\(581\) | −1.08871e12 | −0.396387 | ||||||||
\(582\) | 1.67205e12 | 0.604082 | ||||||||
\(583\) | 7.27499e11 | + | 1.26007e12i | 0.260810 | + | 0.451736i | ||||
\(584\) | 1.54617e11 | − | 2.67804e11i | 0.0550045 | − | 0.0952706i | ||||
\(585\) | 1.32387e12 | + | 2.29301e12i | 0.467352 | + | 0.809477i | ||||
\(586\) | 6.99496e11 | − | 1.21156e12i | 0.245045 | − | 0.424430i | ||||
\(587\) | −1.22260e12 | + | 2.11761e12i | −0.425025 | + | 0.736165i | −0.996423 | − | 0.0845081i | \(-0.973068\pi\) |
0.571398 | + | 0.820673i | \(0.306401\pi\) | |||||||
\(588\) | −3.63073e11 | −0.125255 | ||||||||
\(589\) | −3.72342e11 | + | 5.06211e12i | −0.127474 | + | 1.73306i | ||||
\(590\) | −2.96347e12 | −1.00686 | ||||||||
\(591\) | −7.92320e11 | + | 1.37234e12i | −0.267151 | + | 0.462719i | ||||
\(592\) | 1.48206e11 | − | 2.56700e11i | 0.0495927 | − | 0.0858971i | ||||
\(593\) | −2.27343e10 | − | 3.93769e10i | −0.00754979 | − | 0.0130766i | 0.862226 | − | 0.506524i | \(-0.169070\pi\) |
−0.869776 | + | 0.493447i | \(0.835737\pi\) | |||||||
\(594\) | −2.14134e11 | + | 3.70891e11i | −0.0705744 | + | 0.122238i | ||||
\(595\) | 8.67758e11 | + | 1.50300e12i | 0.283839 | + | 0.491624i | ||||
\(596\) | 7.32644e11 | 0.237840 | ||||||||
\(597\) | −7.95165e12 | −2.56196 | ||||||||
\(598\) | −1.82693e11 | − | 3.16433e11i | −0.0584206 | − | 0.101187i | ||||
\(599\) | −1.75315e12 | − | 3.03654e12i | −0.556413 | − | 0.963736i | −0.997792 | − | 0.0664151i | \(-0.978844\pi\) |
0.441379 | − | 0.897321i | \(-0.354490\pi\) | |||||||
\(600\) | −2.17542e12 | −0.685271 | ||||||||
\(601\) | −1.51764e12 | −0.474499 | −0.237249 | − | 0.971449i | \(-0.576246\pi\) | ||||
−0.237249 | + | 0.971449i | \(0.576246\pi\) | |||||||
\(602\) | −2.35158e12 | − | 4.07306e12i | −0.729754 | − | 1.26397i | ||||
\(603\) | 1.43747e12 | − | 2.48977e12i | 0.442763 | − | 0.766887i | ||||
\(604\) | −3.68760e11 | − | 6.38711e11i | −0.112740 | − | 0.195271i | ||||
\(605\) | −1.01216e12 | + | 1.75310e12i | −0.307148 | + | 0.531996i | ||||
\(606\) | −1.75598e12 | + | 3.04144e12i | −0.528922 | + | 0.916120i | ||||
\(607\) | −3.22964e12 | −0.965617 | −0.482808 | − | 0.875726i | \(-0.660383\pi\) | ||||
−0.482808 | + | 0.875726i | \(0.660383\pi\) | |||||||
\(608\) | 5.36306e11 | − | 2.59182e11i | 0.159165 | − | 0.0769198i | ||||
\(609\) | −6.25415e12 | −1.84243 | ||||||||
\(610\) | 2.48972e12 | − | 4.31232e12i | 0.728058 | − | 1.26103i | ||||
\(611\) | −1.90430e12 | + | 3.29834e12i | −0.552777 | + | 0.957437i | ||||
\(612\) | −2.34307e11 | − | 4.05832e11i | −0.0675156 | − | 0.116940i | ||||
\(613\) | −2.45407e12 | + | 4.25057e12i | −0.701964 | + | 1.21584i | 0.265812 | + | 0.964025i | \(0.414360\pi\) |
−0.967776 | + | 0.251812i | \(0.918973\pi\) | |||||||
\(614\) | −2.45745e12 | − | 4.25643e12i | −0.697794 | − | 1.20861i | ||||
\(615\) | 6.73667e12 | 1.89892 | ||||||||
\(616\) | 1.07196e12 | 0.299961 | ||||||||
\(617\) | 1.47411e12 | + | 2.55323e12i | 0.409493 | + | 0.709262i | 0.994833 | − | 0.101526i | \(-0.0323724\pi\) |
−0.585340 | + | 0.810788i | \(0.699039\pi\) | |||||||
\(618\) | −1.76767e12 | − | 3.06169e12i | −0.487475 | − | 0.844331i | ||||
\(619\) | −1.73984e10 | −0.00476323 | −0.00238161 | − | 0.999997i | \(-0.500758\pi\) | ||||
−0.00238161 | + | 0.999997i | \(0.500758\pi\) | |||||||
\(620\) | −4.99448e12 | −1.35746 | ||||||||
\(621\) | −1.06164e11 | − | 1.83882e11i | −0.0286461 | − | 0.0496165i | ||||
\(622\) | −2.21275e12 | + | 3.83260e12i | −0.592756 | + | 1.02668i | ||||
\(623\) | 3.57192e12 | + | 6.18675e12i | 0.949961 | + | 1.64538i | ||||
\(624\) | 4.70655e11 | − | 8.15198e11i | 0.124272 | − | 0.215245i | ||||
\(625\) | 6.95697e11 | − | 1.20498e12i | 0.182373 | − | 0.315879i | ||||
\(626\) | 3.44293e12 | 0.896073 | ||||||||
\(627\) | 3.35368e12 | + | 2.27974e12i | 0.866599 | + | 0.589090i | ||||
\(628\) | 1.40795e12 | 0.361219 | ||||||||
\(629\) | 2.59807e11 | − | 4.49999e11i | 0.0661794 | − | 0.114626i | ||||
\(630\) | 1.92559e12 | − | 3.33522e12i | 0.487003 | − | 0.843513i | ||||
\(631\) | −2.87298e12 | − | 4.97615e12i | −0.721440 | − | 1.24957i | −0.960423 | − | 0.278547i | \(-0.910147\pi\) |
0.238982 | − | 0.971024i | \(-0.423186\pi\) | |||||||
\(632\) | −4.06873e11 | + | 7.04725e11i | −0.101445 | + | 0.175709i | ||||
\(633\) | 6.01700e11 | + | 1.04217e12i | 0.148958 | + | 0.258002i | ||||
\(634\) | −1.32060e12 | −0.324615 | ||||||||
\(635\) | 7.26481e12 | 1.77314 | ||||||||
\(636\) | −9.29192e11 | − | 1.60941e12i | −0.225190 | − | 0.390040i | ||||
\(637\) | −2.85974e11 | − | 4.95321e11i | −0.0688174 | − | 0.119195i | ||||
\(638\) | 2.89888e12 | 0.692687 | ||||||||
\(639\) | −2.28449e12 | −0.542046 | ||||||||
\(640\) | 2.93054e11 | + | 5.07585e11i | 0.0690459 | + | 0.119591i | ||||
\(641\) | 2.20755e12 | − | 3.82359e12i | 0.516475 | − | 0.894560i | −0.483342 | − | 0.875431i | \(-0.660577\pi\) |
0.999817 | − | 0.0191289i | \(-0.00608929\pi\) | |||||||
\(642\) | 2.49267e12 | + | 4.31743e12i | 0.579104 | + | 1.00304i | ||||
\(643\) | 3.06319e11 | − | 5.30561e11i | 0.0706683 | − | 0.122401i | −0.828526 | − | 0.559951i | \(-0.810820\pi\) |
0.899194 | + | 0.437549i | \(0.144153\pi\) | |||||||
\(644\) | −2.65729e11 | + | 4.60257e11i | −0.0608770 | + | 0.105442i | ||||
\(645\) | 1.75069e13 | 3.98281 | ||||||||
\(646\) | 9.40151e11 | − | 4.54349e11i | 0.212398 | − | 0.102646i | ||||
\(647\) | −7.34361e12 | −1.64756 | −0.823779 | − | 0.566911i | \(-0.808138\pi\) | ||||
−0.823779 | + | 0.566911i | \(0.808138\pi\) | |||||||
\(648\) | 9.15791e11 | − | 1.58620e12i | 0.204037 | − | 0.353402i | ||||
\(649\) | −1.60437e12 | + | 2.77886e12i | −0.354980 | + | 0.614844i | ||||
\(650\) | −1.71346e12 | − | 2.96781e12i | −0.376500 | − | 0.652117i | ||||
\(651\) | 5.83355e12 | − | 1.01040e13i | 1.27297 | − | 2.20485i | ||||
\(652\) | −2.02190e12 | − | 3.50204e12i | −0.438174 | − | 0.758939i | ||||
\(653\) | −1.20611e12 | −0.259583 | −0.129791 | − | 0.991541i | \(-0.541431\pi\) | ||||
−0.129791 | + | 0.991541i | \(0.541431\pi\) | |||||||
\(654\) | −1.90365e12 | −0.406899 | ||||||||
\(655\) | −4.54222e12 | − | 7.86736e12i | −0.964234 | − | 1.67010i | ||||
\(656\) | −5.35712e11 | − | 9.27881e11i | −0.112944 | − | 0.195625i | ||||
\(657\) | −1.20292e12 | −0.251879 | ||||||||
\(658\) | 5.53966e12 | 1.15204 | ||||||||
\(659\) | −4.61056e12 | − | 7.98572e12i | −0.952290 | − | 1.64941i | −0.740451 | − | 0.672110i | \(-0.765388\pi\) |
−0.211839 | − | 0.977305i | \(-0.567945\pi\) | |||||||
\(660\) | −1.99511e12 | + | 3.45563e12i | −0.409278 | + | 0.708891i | ||||
\(661\) | 1.30032e12 | + | 2.25222e12i | 0.264938 | + | 0.458886i | 0.967547 | − | 0.252690i | \(-0.0813152\pi\) |
−0.702609 | + | 0.711576i | \(0.747982\pi\) | |||||||
\(662\) | 2.94562e12 | − | 5.10197e12i | 0.596096 | − | 1.03247i | ||||
\(663\) | 8.25064e11 | − | 1.42905e12i | 0.165835 | − | 0.287235i | ||||
\(664\) | −6.44535e11 | −0.128674 | ||||||||
\(665\) | 7.09688e12 | + | 4.82427e12i | 1.40725 | + | 0.956608i | ||||
\(666\) | −1.15304e12 | −0.227097 | ||||||||
\(667\) | −7.18608e11 | + | 1.24467e12i | −0.140581 | + | 0.243493i | ||||
\(668\) | 2.12569e10 | − | 3.68181e10i | 0.00413054 | − | 0.00715430i | ||||
\(669\) | 4.30267e10 | + | 7.45245e10i | 0.00830464 | + | 0.0143841i | ||||
\(670\) | −3.15171e12 | + | 5.45893e12i | −0.604241 | + | 1.04658i | ||||
\(671\) | −2.69578e12 | − | 4.66923e12i | −0.513373 | − | 0.889189i | ||||
\(672\) | −1.36915e12 | −0.258994 | ||||||||
\(673\) | −1.06846e12 | −0.200765 | −0.100383 | − | 0.994949i | \(-0.532007\pi\) | ||||
−0.100383 | + | 0.994949i | \(0.532007\pi\) | |||||||
\(674\) | 6.43473e10 | + | 1.11453e11i | 0.0120105 | + | 0.0208028i | ||||
\(675\) | −9.95706e11 | − | 1.72461e12i | −0.184614 | − | 0.319760i | ||||
\(676\) | −1.23191e12 | −0.226892 | ||||||||
\(677\) | 1.75754e12 | 0.321555 | 0.160778 | − | 0.986991i | \(-0.448600\pi\) | ||||
0.160778 | + | 0.986991i | \(0.448600\pi\) | |||||||
\(678\) | 4.87509e12 | + | 8.44390e12i | 0.886031 | + | 1.53465i | ||||
\(679\) | 1.91558e12 | − | 3.31788e12i | 0.345848 | − | 0.599027i | ||||
\(680\) | 5.13728e11 | + | 8.89803e11i | 0.0921389 | + | 0.159589i | ||||
\(681\) | 2.88372e12 | − | 4.99475e12i | 0.513797 | − | 0.889922i | ||||
\(682\) | −2.70393e12 | + | 4.68334e12i | −0.478592 | + | 0.828946i | ||||
\(683\) | −9.81846e12 | −1.72644 | −0.863218 | − | 0.504832i | \(-0.831555\pi\) | ||||
−0.863218 | + | 0.504832i | \(0.831555\pi\) | |||||||
\(684\) | −1.91626e12 | − | 1.30262e12i | −0.334735 | − | 0.227544i | ||||
\(685\) | 9.54990e12 | 1.65726 | ||||||||
\(686\) | 1.81761e12 | − | 3.14819e12i | 0.313359 | − | 0.542753i | ||||
\(687\) | −4.26165e12 | + | 7.38139e12i | −0.729915 | + | 1.26425i | ||||
\(688\) | −1.39218e12 | − | 2.41133e12i | −0.236890 | − | 0.410306i | ||||
\(689\) | 1.46375e12 | − | 2.53529e12i | 0.247446 | − | 0.428589i | ||||
\(690\) | −9.89140e11 | − | 1.71324e12i | −0.166126 | − | 0.287738i | ||||
\(691\) | 6.91232e12 | 1.15338 | 0.576690 | − | 0.816963i | \(-0.304344\pi\) | ||||
0.576690 | + | 0.816963i | \(0.304344\pi\) | |||||||
\(692\) | −1.31985e12 | −0.218799 | ||||||||
\(693\) | −2.08496e12 | − | 3.61126e12i | −0.343399 | − | 0.594784i | ||||
\(694\) | 9.20034e11 | + | 1.59355e12i | 0.150552 | + | 0.260764i | ||||
\(695\) | −6.95286e12 | −1.13040 | ||||||||
\(696\) | −3.70257e12 | −0.598083 | ||||||||
\(697\) | −9.39111e11 | − | 1.62659e12i | −0.150720 | − | 0.261054i | ||||
\(698\) | −1.75346e12 | + | 3.03707e12i | −0.279605 | + | 0.484290i | ||||
\(699\) | 1.78835e11 | + | 3.09752e11i | 0.0283339 | + | 0.0490758i | ||||
\(700\) | −2.49226e12 | + | 4.31672e12i | −0.392330 | + | 0.679536i | ||||
\(701\) | 6.72941e11 | − | 1.16557e12i | 0.105256 | − | 0.182308i | −0.808587 | − | 0.588377i | \(-0.799767\pi\) |
0.913843 | + | 0.406068i | \(0.133101\pi\) | |||||||
\(702\) | 8.61689e11 | 0.133916 | ||||||||
\(703\) | 1.88471e11 | − | 2.56233e12i | 0.0291036 | − | 0.395673i | ||||
\(704\) | 6.34618e11 | 0.0973723 | ||||||||
\(705\) | −1.03103e13 | + | 1.78580e13i | −1.57188 | + | 2.72258i | ||||
\(706\) | 1.82152e12 | − | 3.15497e12i | 0.275939 | − | 0.477941i | ||||
\(707\) | 4.02345e12 | + | 6.96882e12i | 0.605636 | + | 1.04899i | ||||
\(708\) | 2.04917e12 | − | 3.54927e12i | 0.306499 | − | 0.530871i | ||||
\(709\) | −1.72859e12 | − | 2.99400e12i | −0.256911 | − | 0.444983i | 0.708502 | − | 0.705709i | \(-0.249371\pi\) |
−0.965413 | + | 0.260726i | \(0.916038\pi\) | |||||||
\(710\) | 5.00885e12 | 0.739733 | ||||||||
\(711\) | 3.16548e12 | 0.464543 | ||||||||
\(712\) | 2.11464e12 | + | 3.66266e12i | 0.308373 | + | 0.534118i | ||||
\(713\) | −1.34056e12 | − | 2.32192e12i | −0.194260 | − | 0.336468i | ||||
\(714\) | −2.40014e12 | −0.345616 | ||||||||
\(715\) | −6.28576e12 | −0.899458 | ||||||||
\(716\) | 2.90105e12 | + | 5.02477e12i | 0.412522 | + | 0.714509i | ||||
\(717\) | 6.36102e12 | − | 1.10176e13i | 0.898857 | − | 1.55687i | ||||
\(718\) | −4.03379e11 | − | 6.98673e11i | −0.0566439 | − | 0.0981101i | ||||
\(719\) | −5.48261e12 | + | 9.49616e12i | −0.765081 | + | 1.32516i | 0.175122 | + | 0.984547i | \(0.443968\pi\) |
−0.940204 | + | 0.340613i | \(0.889365\pi\) | |||||||
\(720\) | 1.13998e12 | − | 1.97451e12i | 0.158089 | − | 0.273818i | ||||
\(721\) | −8.10047e12 | −1.11635 | ||||||||
\(722\) | 3.20795e12 | − | 4.04545e12i | 0.439349 | − | 0.554051i | ||||
\(723\) | 6.05129e12 | 0.823618 | ||||||||
\(724\) | −2.55265e12 | + | 4.42132e12i | −0.345277 | + | 0.598037i | ||||
\(725\) | −6.73978e12 | + | 1.16736e13i | −0.905992 | + | 1.56922i | ||||
\(726\) | −1.39976e12 | − | 2.42446e12i | −0.186999 | − | 0.323892i | ||||
\(727\) | −2.94719e12 | + | 5.10468e12i | −0.391294 | + | 0.677740i | −0.992620 | − | 0.121263i | \(-0.961306\pi\) |
0.601327 | + | 0.799003i | \(0.294639\pi\) | |||||||
\(728\) | −1.07841e12 | − | 1.86785e12i | −0.142295 | − | 0.246463i | ||||
\(729\) | −4.49629e12 | −0.589631 | ||||||||
\(730\) | 2.63745e12 | 0.343741 | ||||||||
\(731\) | −2.44051e12 | − | 4.22709e12i | −0.316120 | − | 0.547536i | ||||
\(732\) | 3.44316e12 | + | 5.96373e12i | 0.443259 | + | 0.767747i | ||||
\(733\) | 4.11595e12 | 0.526626 | 0.263313 | − | 0.964710i | \(-0.415185\pi\) | ||||
0.263313 | + | 0.964710i | \(0.415185\pi\) | |||||||
\(734\) | 7.73413e12 | 0.983510 | ||||||||
\(735\) | −1.54833e12 | − | 2.68178e12i | −0.195690 | − | 0.338946i | ||||
\(736\) | −1.57316e11 | + | 2.72480e11i | −0.0197617 | + | 0.0342282i | ||||
\(737\) | 3.41257e12 | + | 5.91074e12i | 0.426067 | + | 0.737969i | ||||
\(738\) | −2.08392e12 | + | 3.60946e12i | −0.258600 | + | 0.447908i | ||||
\(739\) | −5.33634e12 | + | 9.24282e12i | −0.658178 | + | 1.14000i | 0.322908 | + | 0.946430i | \(0.395339\pi\) |
−0.981087 | + | 0.193568i | \(0.937994\pi\) | |||||||
\(740\) | 2.52810e12 | 0.309921 | ||||||||
\(741\) | 5.98525e11 | − | 8.13714e12i | 0.0729290 | − | 0.991494i | ||||
\(742\) | −4.25809e12 | −0.515701 | ||||||||
\(743\) | 9.24872e11 | − | 1.60193e12i | 0.111335 | − | 0.192838i | −0.804974 | − | 0.593310i | \(-0.797821\pi\) |
0.916309 | + | 0.400472i | \(0.131154\pi\) | |||||||
\(744\) | 3.45357e12 | − | 5.98175e12i | 0.413228 | − | 0.715731i | ||||
\(745\) | 3.12436e12 | + | 5.41156e12i | 0.371585 | + | 0.643604i | ||||
\(746\) | 1.56871e12 | − | 2.71708e12i | 0.185446 | − | 0.321201i | ||||
\(747\) | 1.25362e12 | + | 2.17134e12i | 0.147307 | + | 0.255143i | ||||
\(748\) | 1.11249e12 | 0.129939 | ||||||||
\(749\) | 1.14228e13 | 1.32619 | ||||||||
\(750\) | −2.83860e12 | − | 4.91659e12i | −0.327588 | − | 0.567399i | ||||
\(751\) | 4.60822e12 | + | 7.98167e12i | 0.528632 | + | 0.915617i | 0.999443 | + | 0.0333830i | \(0.0106281\pi\) |
−0.470811 | + | 0.882234i | \(0.656039\pi\) | |||||||
\(752\) | 3.27958e12 | 0.373971 | ||||||||
\(753\) | −2.07349e13 | −2.35030 | ||||||||
\(754\) | −2.91632e12 | − | 5.05121e12i | −0.328597 | − | 0.569147i | ||||
\(755\) | 3.14515e12 | − | 5.44757e12i | 0.352274 | − | 0.610156i | ||||
\(756\) | −6.26670e11 | − | 1.08542e12i | −0.0697735 | − | 0.120851i | ||||
\(757\) | −5.74920e12 | + | 9.95790e12i | −0.636320 | + | 1.10214i | 0.349913 | + | 0.936782i | \(0.386211\pi\) |
−0.986234 | + | 0.165357i | \(0.947122\pi\) | |||||||
\(758\) | 1.65790e10 | − | 2.87156e10i | 0.00182409 | − | 0.00315942i | ||||
\(759\) | −2.14201e12 | −0.234280 | ||||||||
\(760\) | 4.20148e12 | + | 2.85605e12i | 0.456816 | + | 0.310531i | ||||
\(761\) | 9.51792e12 | 1.02875 | 0.514376 | − | 0.857565i | \(-0.328023\pi\) | ||||
0.514376 | + | 0.857565i | \(0.328023\pi\) | |||||||
\(762\) | −5.02344e12 | + | 8.70086e12i | −0.539764 | + | 0.934899i | ||||
\(763\) | −2.18090e12 | + | 3.77743e12i | −0.232957 | + | 0.403493i | ||||
\(764\) | −2.70596e12 | − | 4.68686e12i | −0.287343 | − | 0.497693i | ||||
\(765\) | 1.99840e12 | − | 3.46134e12i | 0.210963 | − | 0.365399i | ||||
\(766\) | −1.35437e12 | − | 2.34584e12i | −0.142137 | − | 0.246189i | ||||
\(767\) | 6.45610e12 | 0.673583 | ||||||||
\(768\) | −8.10560e11 | −0.0840736 | ||||||||
\(769\) | −5.64051e12 | − | 9.76965e12i | −0.581634 | − | 1.00742i | −0.995286 | − | 0.0969843i | \(-0.969080\pi\) |
0.413652 | − | 0.910435i | \(-0.364253\pi\) | |||||||
\(770\) | 4.57137e12 | + | 7.91784e12i | 0.468639 | + | 0.811706i | ||||
\(771\) | −7.32468e11 | −0.0746524 | ||||||||
\(772\) | 6.87552e12 | 0.696671 | ||||||||
\(773\) | 5.45498e12 | + | 9.44830e12i | 0.549522 | + | 0.951800i | 0.998307 | + | 0.0581606i | \(0.0185236\pi\) |
−0.448785 | + | 0.893640i | \(0.648143\pi\) | |||||||
\(774\) | −5.41558e12 | + | 9.38007e12i | −0.542389 | + | 0.939446i | ||||
\(775\) | −1.25730e13 | − | 2.17771e13i | −1.25194 | − | 2.16842i | ||||
\(776\) | 1.13405e12 | − | 1.96424e12i | 0.112268 | − | 0.194454i | ||||
\(777\) | −2.95282e12 | + | 5.11443e12i | −0.290631 | + | 0.503388i | ||||
\(778\) | −2.22955e12 | −0.218177 | ||||||||
\(779\) | −7.68043e12 | − | 5.22095e12i | −0.747252 | − | 0.507962i | ||||
\(780\) | 8.02843e12 | 0.776613 | ||||||||
\(781\) | 2.71170e12 | − | 4.69681e12i | 0.260803 | − | 0.451724i | ||||
\(782\) | −2.75778e11 | + | 4.77661e11i | −0.0263711 | + | 0.0456762i | ||||
\(783\) | −1.69469e12 | − | 2.93529e12i | −0.161125 | − | 0.279077i | ||||
\(784\) | −2.46251e11 | + | 4.26520e11i | −0.0232786 | + | 0.0403197i | ||||
\(785\) | 6.00422e12 | + | 1.03996e13i | 0.564343 | + | 0.977471i | ||||
\(786\) | 1.25634e13 | 1.17410 | ||||||||
\(787\) | 5.92047e12 | 0.550136 | 0.275068 | − | 0.961425i | \(-0.411300\pi\) | ||||
0.275068 | + | 0.961425i | \(0.411300\pi\) | |||||||
\(788\) | 1.07477e12 | + | 1.86155e12i | 0.0992995 | + | 0.171992i | ||||
\(789\) | −1.44674e12 | − | 2.50583e12i | −0.132906 | − | 0.230200i | ||||
\(790\) | −6.94044e12 | −0.633965 | ||||||||
\(791\) | 2.23405e13 | 2.02908 | ||||||||
\(792\) | −1.23433e12 | − | 2.13793e12i | −0.111473 | − | 0.193077i | ||||
\(793\) | −5.42399e12 | + | 9.39463e12i | −0.487068 | + | 0.843627i | ||||
\(794\) | 1.27686e12 | + | 2.21159e12i | 0.114012 | + | 0.197475i | ||||
\(795\) | 7.92508e12 | − | 1.37266e13i | 0.703641 | − | 1.21874i | ||||
\(796\) | −5.39314e12 | + | 9.34119e12i | −0.476138 | + | 0.824695i | ||||
\(797\) | −6.57466e11 | −0.0577180 | −0.0288590 | − | 0.999583i | \(-0.509187\pi\) | ||||
−0.0288590 | + | 0.999583i | \(0.509187\pi\) | |||||||
\(798\) | −1.06852e13 | + | 5.16387e12i | −0.932760 | + | 0.450778i | ||||
\(799\) | 5.74914e12 | 0.499048 | ||||||||
\(800\) | −1.47546e12 | + | 2.55557e12i | −0.127357 | + | 0.220589i | ||||
\(801\) | 8.22596e12 | − | 1.42478e13i | 0.706058 | − | 1.22293i | ||||
\(802\) | −3.79496e12 | − | 6.57306e12i | −0.323909 | − | 0.561026i | ||||
\(803\) | 1.42787e12 | − | 2.47314e12i | 0.121191 | − | 0.209908i | ||||
\(804\) | −4.35867e12 | − | 7.54944e12i | −0.367876 | − | 0.637180i | ||||
\(805\) | −4.53281e12 | −0.380440 | ||||||||
\(806\) | 1.08808e13 | 0.908138 | ||||||||
\(807\) | −9.22238e12 | − | 1.59736e13i | −0.765442 | − | 1.32578i | ||||
\(808\) | 2.38195e12 | + | 4.12566e12i | 0.196599 | + | 0.340520i | ||||
\(809\) | −2.00189e13 | −1.64313 | −0.821566 | − | 0.570114i | \(-0.806899\pi\) | ||||
−0.821566 | + | 0.570114i | \(0.806899\pi\) | |||||||
\(810\) | 1.56216e13 | 1.27509 | ||||||||
\(811\) | −3.24412e12 | − | 5.61898e12i | −0.263332 | − | 0.456104i | 0.703793 | − | 0.710405i | \(-0.251488\pi\) |
−0.967125 | + | 0.254301i | \(0.918155\pi\) | |||||||
\(812\) | −4.24183e12 | + | 7.34706e12i | −0.342414 | + | 0.593078i | ||||
\(813\) | 2.67403e12 | + | 4.63155e12i | 0.214664 | + | 0.371808i | ||||
\(814\) | 1.36867e12 | − | 2.37060e12i | 0.109267 | − | 0.189256i | ||||
\(815\) | 1.72448e13 | − | 2.98689e13i | 1.36914 | − | 2.37143i | ||||
\(816\) | −1.42092e12 | −0.112193 | ||||||||
\(817\) | −1.99595e13 | − | 1.35679e13i | −1.56729 | − | 1.06540i | ||||
\(818\) | −1.48386e13 | −1.15879 | ||||||||
\(819\) | −4.19501e12 | + | 7.26596e12i | −0.325803 | + | 0.564307i | ||||
\(820\) | 4.56909e12 | − | 7.91390e12i | 0.352913 | − | 0.611263i | ||||
\(821\) | 9.49346e12 | + | 1.64432e13i | 0.729257 | + | 1.26311i | 0.957198 | + | 0.289435i | \(0.0934673\pi\) |
−0.227941 | + | 0.973675i | \(0.573199\pi\) | |||||||
\(822\) | −6.60353e12 | + | 1.14376e13i | −0.504490 | + | 0.873803i | ||||
\(823\) | 5.84641e12 | + | 1.01263e13i | 0.444212 | + | 0.769398i | 0.997997 | − | 0.0632620i | \(-0.0201504\pi\) |
−0.553785 | + | 0.832660i | \(0.686817\pi\) | |||||||
\(824\) | −4.79562e12 | −0.362387 | ||||||||
\(825\) | −2.00898e13 | −1.50985 | ||||||||
\(826\) | −4.69525e12 | − | 8.13240e12i | −0.350952 | − | 0.607867i | ||||
\(827\) | −8.90715e11 | − | 1.54276e12i | −0.0662161 | − | 0.114690i | 0.831017 | − | 0.556247i | \(-0.187759\pi\) |
−0.897233 | + | 0.441558i | \(0.854426\pi\) | |||||||
\(828\) | 1.22392e12 | 0.0904936 | ||||||||
\(829\) | 1.27400e13 | 0.936855 | 0.468428 | − | 0.883502i | \(-0.344821\pi\) | ||||
0.468428 | + | 0.883502i | \(0.344821\pi\) | |||||||
\(830\) | −2.74862e12 | − | 4.76075e12i | −0.201031 | − | 0.348196i | ||||
\(831\) | −5.04480e12 | + | 8.73785e12i | −0.366977 | + | 0.635623i | ||||
\(832\) | −6.38435e11 | − | 1.10580e12i | −0.0461915 | − | 0.0800060i | ||||
\(833\) | −4.31682e11 | + | 7.47695e11i | −0.0310643 | + | 0.0538049i | ||||
\(834\) | 4.80773e12 | − | 8.32724e12i | 0.344107 | − | 0.596010i | ||||
\(835\) | 3.62601e11 | 0.0258131 | ||||||||
\(836\) | 4.95273e12 | − | 2.39352e12i | 0.350685 | − | 0.169476i | ||||
\(837\) | 6.32289e12 | 0.445298 | ||||||||
\(838\) | 1.83075e12 | − | 3.17096e12i | 0.128242 | − | 0.222122i | ||||
\(839\) | −5.73513e12 | + | 9.93353e12i | −0.399590 | + | 0.692109i | −0.993675 | − | 0.112292i | \(-0.964181\pi\) |
0.594086 | + | 0.804402i | \(0.297514\pi\) | |||||||
\(840\) | −5.83874e12 | − | 1.01130e13i | −0.404634 | − | 0.700846i | ||||
\(841\) | −4.21754e12 | + | 7.30499e12i | −0.290721 | + | 0.503544i | ||||
\(842\) | 9.22359e12 | + | 1.59757e13i | 0.632405 | + | 1.09536i | ||||
\(843\) | 3.33477e13 | 2.27427 | ||||||||
\(844\) | 1.63239e12 | 0.110735 | ||||||||
\(845\) | −5.25349e12 | − | 9.09932e12i | −0.354481 | − | 0.613979i | ||||
\(846\) | −6.37879e12 | − | 1.10484e13i | −0.428126 | − | 0.741536i | ||||
\(847\) | −6.41452e12 | −0.428242 | ||||||||
\(848\) | −2.52087e12 | −0.167405 | ||||||||
\(849\) | −5.22708e12 | − | 9.05356e12i | −0.345282 | − | 0.598046i | ||||
\(850\) | −2.58650e12 | + | 4.47995e12i | −0.169953 | + | 0.294366i | ||||
\(851\) | 6.78563e11 | + | 1.17531e12i | 0.0443514 | + | 0.0768188i | ||||
\(852\) | −3.46350e12 | + | 5.99895e12i | −0.225184 | + | 0.390029i | ||||
\(853\) | −1.17151e13 | + | 2.02912e13i | −0.757664 | + | 1.31231i | 0.186375 | + | 0.982479i | \(0.440326\pi\) |
−0.944039 | + | 0.329834i | \(0.893007\pi\) | |||||||
\(854\) | 1.57786e13 | 1.01510 | ||||||||
\(855\) | 1.44970e12 | − | 1.97091e13i | 0.0927749 | − | 1.26131i | ||||
\(856\) | 6.76252e12 | 0.430504 | ||||||||
\(857\) | 1.98481e12 | − | 3.43779e12i | 0.125691 | − | 0.217703i | −0.796312 | − | 0.604886i | \(-0.793219\pi\) |
0.922003 | + | 0.387183i | \(0.126552\pi\) | |||||||
\(858\) | 4.34645e12 | − | 7.52828e12i | 0.273806 | − | 0.474245i | ||||
\(859\) | 1.81838e12 | + | 3.14953e12i | 0.113951 | + | 0.197368i | 0.917360 | − | 0.398059i | \(-0.130316\pi\) |
−0.803409 | + | 0.595427i | \(0.796983\pi\) | |||||||
\(860\) | 1.18739e13 | − | 2.05662e13i | 0.740202 | − | 1.28207i | ||||
\(861\) | 1.06734e13 | + | 1.84869e13i | 0.661894 | + | 1.14643i | ||||
\(862\) | −1.74756e13 | −1.07807 | ||||||||
\(863\) | 2.31927e13 | 1.42332 | 0.711661 | − | 0.702523i | \(-0.247943\pi\) | ||||
0.711661 | + | 0.702523i | \(0.247943\pi\) | |||||||
\(864\) | −3.70999e11 | − | 6.42590e11i | −0.0226496 | − | 0.0392303i | ||||
\(865\) | −5.62848e12 | − | 9.74881e12i | −0.341837 | − | 0.592079i | ||||
\(866\) | −1.49808e13 | −0.905119 | ||||||||
\(867\) | 1.98894e13 | 1.19546 | ||||||||
\(868\) | −7.91312e12 | − | 1.37059e13i | −0.473161 | − | 0.819539i | ||||
\(869\) | −3.75744e12 | + | 6.50807e12i | −0.223513 | + | 0.387136i | ||||
\(870\) | −1.57896e13 | − | 2.73484e13i | −0.934404 | − | 1.61844i | ||||
\(871\) | 6.86619e12 | − | 1.18926e13i | 0.404235 | − | 0.700156i | ||||
\(872\) | −1.29113e12 | + | 2.23631e12i | −0.0756217 | + | 0.130981i | ||||
\(873\) | −8.82296e12 | −0.514103 | ||||||||
\(874\) | −2.00057e11 | + | 2.71984e12i | −0.0115972 | + | 0.157668i | ||||
\(875\) | −1.30081e13 | −0.750201 | ||||||||
\(876\) | −1.82373e12 | + | 3.15880e12i | −0.104639 | + | 0.181240i | ||||
\(877\) | 2.92689e12 | − | 5.06952e12i | 0.167074 | − | 0.289380i | −0.770316 | − | 0.637662i | \(-0.779902\pi\) |
0.937390 | + | 0.348282i | \(0.113235\pi\) | |||||||
\(878\) | 1.07685e12 | + | 1.86516e12i | 0.0611548 | + | 0.105923i | ||||
\(879\) | −8.25070e12 | + | 1.42906e13i | −0.466166 | + | 0.807423i | ||||
\(880\) | 2.70633e12 | + | 4.68750e12i | 0.152128 | + | 0.263493i | ||||
\(881\) | −8.82872e12 | −0.493749 | −0.246874 | − | 0.969048i | \(-0.579403\pi\) | ||||
−0.246874 | + | 0.969048i | \(0.579403\pi\) | |||||||
\(882\) | 1.91584e12 | 0.106598 | ||||||||
\(883\) | 6.53385e11 | + | 1.13170e12i | 0.0361698 | + | 0.0626479i | 0.883544 | − | 0.468349i | \(-0.155151\pi\) |
−0.847374 | + | 0.530997i | \(0.821818\pi\) | |||||||
\(884\) | −1.11919e12 | − | 1.93849e12i | −0.0616406 | − | 0.106765i | ||||
\(885\) | 3.49548e13 | 1.91541 | ||||||||
\(886\) | 9.06704e11 | 0.0494326 | ||||||||
\(887\) | 4.43696e12 | + | 7.68504e12i | 0.240674 | + | 0.416860i | 0.960906 | − | 0.276873i | \(-0.0892982\pi\) |
−0.720232 | + | 0.693733i | \(0.755965\pi\) | |||||||
\(888\) | −1.74812e12 | + | 3.02783e12i | −0.0943437 | + | 0.163408i | ||||
\(889\) | 1.15102e13 | + | 1.99362e13i | 0.618050 | + | 1.07049i | ||||
\(890\) | −1.80358e13 | + | 3.12389e13i | −0.963562 | + | 1.66894i | ||||
\(891\) | 8.45725e12 | − | 1.46484e13i | 0.449552 | − | 0.778646i | ||||
\(892\) | 1.16730e11 | 0.00617363 | ||||||||
\(893\) | 2.55947e13 | − | 1.23692e13i | 1.34685 | − | 0.650895i | ||||
\(894\) | −8.64169e12 | −0.452460 | ||||||||
\(895\) | −2.47431e13 | + | 4.28563e13i | −1.28899 | + | 2.23260i | ||||
\(896\) | −9.28614e11 | + | 1.60841e12i | −0.0481337 | + | 0.0833700i | ||||
\(897\) | 2.15490e12 | + | 3.73239e12i | 0.111138 | + | 0.192496i | ||||
\(898\) | −7.40668e12 | + | 1.28287e13i | −0.380084 | + | 0.658326i | ||||
\(899\) | −2.13993e13 | − | 3.70647e13i | −1.09265 | − | 1.89253i | ||||
\(900\) | 1.14791e13 | 0.583199 | ||||||||
\(901\) | −4.41911e12 | −0.223395 | ||||||||
\(902\) | −4.94726e12 | − | 8.56890e12i | −0.248849 | − | 0.431018i | ||||
\(903\) | 2.77374e13 | + | 4.80426e13i | 1.38826 | + | 2.40454i | ||||
\(904\) | 1.32260e13 | 0.658672 | ||||||||
\(905\) | −4.35431e13 | −2.15775 | ||||||||
\(906\) | 4.34960e12 | + | 7.53372e12i | 0.214473 | + | 0.371478i | ||||
\(907\) | −1.17419e13 | + | 2.03376e13i | −0.576112 | + | 0.997856i | 0.419807 | + | 0.907613i | \(0.362098\pi\) |
−0.995920 | + | 0.0902427i | \(0.971236\pi\) | |||||||
\(908\) | −3.91172e12 | − | 6.77530e12i | −0.190977 | − | 0.330782i | ||||
\(909\) | 9.26581e12 | − | 1.60489e13i | 0.450138 | − | 0.779662i | ||||
\(910\) | 9.19773e12 | − | 1.59309e13i | 0.444625 | − | 0.770114i | ||||
\(911\) | −2.16450e13 | −1.04118 | −0.520589 | − | 0.853808i | \(-0.674287\pi\) | ||||
−0.520589 | + | 0.853808i | \(0.674287\pi\) | |||||||
\(912\) | −6.32583e12 | + | 3.05710e12i | −0.302790 | + | 0.146330i | ||||
\(913\) | −5.95222e12 | −0.283505 | ||||||||
\(914\) | 6.67813e12 | − | 1.15669e13i | 0.316517 | − | 0.548223i | ||||
\(915\) | −2.93667e13 | + | 5.08647e13i | −1.38503 | + | 2.39895i | ||||
\(916\) | 5.78086e12 | + | 1.00127e13i | 0.271308 | + | 0.469919i | ||||
\(917\) | 1.43931e13 | − | 2.49296e13i | 0.672192 | − | 1.16427i | ||||
\(918\) | −6.50367e11 | − | 1.12647e12i | −0.0302250 | − | 0.0523512i | ||||
\(919\) | −6.26285e12 | −0.289636 | −0.144818 | − | 0.989458i | \(-0.546260\pi\) | ||||
−0.144818 | + | 0.989458i | \(0.546260\pi\) | |||||||
\(920\) | −2.68350e12 | −0.123497 | ||||||||
\(921\) | 2.89861e13 | + | 5.02055e13i | 1.32746 | + | 2.29923i | ||||
\(922\) | −2.06545e12 | − | 3.57746e12i | −0.0941294 | − | 0.163037i | ||||
\(923\) | −1.09121e13 | −0.494879 | ||||||||
\(924\) | −1.26440e13 | −0.570637 | ||||||||
\(925\) | 6.36420e12 | + | 1.10231e13i | 0.285829 | + | 0.495070i | ||||
\(926\) | −6.47183e12 | + | 1.12095e13i | −0.289253 | + | 0.501001i | ||||
\(927\) | 9.32750e12 | + | 1.61557e13i | 0.414865 | + | 0.718566i | ||||
\(928\) | −2.51124e12 | + | 4.34959e12i | −0.111153 | + | 0.192523i | ||||
\(929\) | 2.58410e12 | − | 4.47579e12i | 0.113825 | − | 0.197151i | −0.803484 | − | 0.595326i | \(-0.797023\pi\) |
0.917309 | + | 0.398175i | \(0.130356\pi\) | |||||||
\(930\) | 5.89109e13 | 2.58239 | ||||||||
\(931\) | −3.13154e11 | + | 4.25744e12i | −0.0136611 | + | 0.185727i | ||||
\(932\) | 4.85175e11 | 0.0210633 | ||||||||
\(933\) | 2.60998e13 | − | 4.52063e13i | 1.12764 | − | 1.95313i | ||||
\(934\) | 2.46782e12 | − | 4.27439e12i | 0.106109 | − | 0.183786i | ||||
\(935\) | 4.74423e12 | + | 8.21725e12i | 0.203008 | + | 0.351621i | ||||
\(936\) | −2.48352e12 | + | 4.30158e12i | −0.105761 | + | 0.183184i | ||||
\(937\) | −1.11839e13 | − | 1.93711e13i | −0.473987 | − | 0.820969i | 0.525570 | − | 0.850750i | \(-0.323852\pi\) |
−0.999556 | + | 0.0297816i | \(0.990519\pi\) | |||||||
\(938\) | −1.99740e13 | −0.842464 | ||||||||
\(939\) | −4.06100e13 | −1.70466 | ||||||||
\(940\) | 1.39858e13 | + | 2.42241e13i | 0.584266 | + | 1.01198i | ||||
\(941\) | −1.84414e13 | − | 3.19414e13i | −0.766725 | − | 1.32801i | −0.939330 | − | 0.343015i | \(-0.888552\pi\) |
0.172605 | − | 0.984991i | \(-0.444782\pi\) | |||||||
\(942\) | −1.66071e13 | −0.687171 | ||||||||
\(943\) | 4.90553e12 | 0.202015 | ||||||||
\(944\) | −2.77967e12 | − | 4.81453e12i | −0.113925 | − | 0.197324i | ||||
\(945\) | 5.34487e12 | − | 9.25758e12i | 0.218019 | − | 0.377619i | ||||
\(946\) | −1.28567e13 | − | 2.22684e13i | −0.521937 | − | 0.904021i | ||||
\(947\) | 1.11516e12 | − | 1.93151e12i | 0.0450569 | − | 0.0780408i | −0.842617 | − | 0.538513i | \(-0.818986\pi\) |
0.887674 | + | 0.460472i | \(0.152320\pi\) | |||||||
\(948\) | 4.79915e12 | − | 8.31237e12i | 0.192986 | − | 0.334262i | ||||
\(949\) | −5.74583e12 | −0.229961 | ||||||||
\(950\) | −1.87632e12 | + | 2.55092e13i | −0.0747397 | + | 1.01611i | ||||
\(951\) | 1.55767e13 | 0.617537 | ||||||||
\(952\) | −1.62787e12 | + | 2.81956e12i | −0.0642324 | + | 0.111254i | ||||
\(953\) | 2.20481e13 | − | 3.81885e13i | 0.865873 | − | 1.49974i | −0.000305570 | − | 1.00000i | \(-0.500097\pi\) |
0.866178 | − | 0.499735i | \(-0.166569\pi\) | |||||||
\(954\) | 4.90309e12 | + | 8.49240e12i | 0.191647 | + | 0.331943i | ||||
\(955\) | 2.30791e13 | − | 3.99742e13i | 0.897851 | − | 1.55512i | ||||
\(956\) | −8.62862e12 | − | 1.49452e13i | −0.334103 | − | 0.578684i | ||||
\(957\) | −3.41929e13 | −1.31775 | ||||||||
\(958\) | −4.00868e12 | −0.153765 | ||||||||
\(959\) | 1.51306e13 | + | 2.62070e13i | 0.577660 | + | 1.00054i | ||||
\(960\) | −3.45663e12 | − | 5.98707e12i | −0.131351 | − | 0.227506i | ||||
\(961\) | 5.34011e13 | 2.01974 | ||||||||
\(962\) | −5.50761e12 | −0.207336 | ||||||||
\(963\) | −1.31531e13 | − | 2.27819e13i | −0.492845 | − | 0.853633i | ||||
\(964\) | 4.10424e12 | − | 7.10875e12i | 0.153069 | − | 0.265123i | ||||
\(965\) | 2.93207e13 | + | 5.07849e13i | 1.08843 | + | 1.88522i | ||||
\(966\) | 3.13433e12 | − | 5.42882e12i | 0.115810 | − | 0.200590i | ||||
\(967\) | 5.82150e12 | − | 1.00831e13i | 0.214100 | − | 0.370832i | −0.738894 | − | 0.673822i | \(-0.764652\pi\) |
0.952994 | + | 0.302990i | \(0.0979849\pi\) | |||||||
\(968\) | −3.79751e12 | −0.139014 | ||||||||
\(969\) | −1.10893e13 | + | 5.35914e12i | −0.404060 | + | 0.195271i | ||||
\(970\) | 1.93447e13 | 0.701600 | ||||||||
\(971\) | 8.09635e12 | − | 1.40233e13i | 0.292283 | − | 0.506248i | −0.682067 | − | 0.731290i | \(-0.738919\pi\) |
0.974349 | + | 0.225042i | \(0.0722519\pi\) | |||||||
\(972\) | −9.01913e12 | + | 1.56216e13i | −0.324091 | + | 0.561342i | ||||
\(973\) | −1.10159e13 | − | 1.90801e13i | −0.394015 | − | 0.682454i | ||||
\(974\) | 1.11033e13 | − | 1.92315e13i | 0.395310 | − | 0.684696i | ||||
\(975\) | 2.02106e13 | + | 3.50059e13i | 0.716241 | + | 1.24057i | ||||
\(976\) | 9.34118e12 | 0.329517 | ||||||||
\(977\) | −2.13391e13 | −0.749291 | −0.374645 | − | 0.927168i | \(-0.622236\pi\) | ||||
−0.374645 | + | 0.927168i | \(0.622236\pi\) | |||||||
\(978\) | 2.38488e13 | + | 4.13073e13i | 0.833568 | + | 1.44378i | ||||
\(979\) | 1.95285e13 | + | 3.38244e13i | 0.679434 | + | 1.17681i | ||||
\(980\) | −4.20056e12 | −0.145475 | ||||||||
\(981\) | 1.00450e13 | 0.346290 | ||||||||
\(982\) | 3.09348e12 | + | 5.35806e12i | 0.106156 | + | 0.183868i | ||||
\(983\) | 1.84906e13 | − | 3.20266e13i | 0.631626 | − | 1.09401i | −0.355593 | − | 0.934641i | \(-0.615721\pi\) |
0.987219 | − | 0.159367i | \(-0.0509455\pi\) | |||||||
\(984\) | 6.31884e12 | + | 1.09445e13i | 0.214862 | + | 0.372152i | ||||
\(985\) | −9.16671e12 | + | 1.58772e13i | −0.310277 | + | 0.537416i | ||||
\(986\) | −4.40223e12 | + | 7.62489e12i | −0.148329 | + | 0.256914i | ||||
\(987\) | −6.53415e13 | −2.19160 | ||||||||
\(988\) | −9.15316e12 | − | 6.22207e12i | −0.305608 | − | 0.207744i | ||||
\(989\) | 1.27482e13 | 0.423707 | ||||||||
\(990\) | 1.05276e13 | − | 1.82344e13i | 0.348315 | − | 0.603300i | ||||
\(991\) | −1.56787e13 | + | 2.71564e13i | −0.516393 | + | 0.894418i | 0.483426 | + | 0.875385i | \(0.339392\pi\) |
−0.999819 | + | 0.0190330i | \(0.993941\pi\) | |||||||
\(992\) | −4.68471e12 | − | 8.11415e12i | −0.153596 | − | 0.266036i | ||||
\(993\) | −3.47442e13 | + | 6.01787e13i | −1.13399 | + | 1.96413i | ||||
\(994\) | 7.93588e12 | + | 1.37453e13i | 0.257844 | + | 0.446598i | ||||
\(995\) | −9.19962e13 | −2.97554 | ||||||||
\(996\) | 7.60242e12 | 0.244785 | ||||||||
\(997\) | −2.39556e13 | − | 4.14923e13i | −0.767853 | − | 1.32996i | −0.938725 | − | 0.344668i | \(-0.887992\pi\) |
0.170871 | − | 0.985293i | \(-0.445342\pi\) | |||||||
\(998\) | −1.02762e13 | − | 1.77989e13i | −0.327903 | − | 0.567945i | ||||
\(999\) | −3.20051e12 | −0.101666 |
(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.b.11.7 | yes | 16 | |
19.7 | even | 3 | inner | 38.10.c.b.7.7 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.b.7.7 | ✓ | 16 | 19.7 | even | 3 | inner | |
38.10.c.b.11.7 | yes | 16 | 1.1 | even | 1 | trivial |