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: | \( x^{16} - 2 x^{15} + 104960 x^{14} - 3899480 x^{13} + 8040649724 x^{12} - 270026959304 x^{11} + \cdots + 13\!\cdots\!00 \) |
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 | 11.1 | ||
Root | \(113.220 - 196.103i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.10.c.b.7.1 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||
\(3\) | −108.720 | + | 188.309i | −0.774932 | + | 1.34222i | 0.159900 | + | 0.987133i | \(0.448883\pi\) |
−0.934832 | + | 0.355089i | \(0.884451\pi\) | |||||||
\(4\) | −128.000 | − | 221.703i | −0.250000 | − | 0.433013i | ||||
\(5\) | −480.308 | + | 831.918i | −0.343680 | + | 0.595272i | −0.985113 | − | 0.171907i | \(-0.945007\pi\) |
0.641433 | + | 0.767179i | \(0.278340\pi\) | |||||||
\(6\) | −1739.52 | − | 3012.94i | −0.547960 | − | 0.949094i | ||||
\(7\) | −4308.78 | −0.678286 | −0.339143 | − | 0.940735i | \(-0.610137\pi\) | ||||
−0.339143 | + | 0.940735i | \(0.610137\pi\) | |||||||
\(8\) | 4096.00 | 0.353553 | ||||||||
\(9\) | −13798.6 | − | 23899.8i | −0.701040 | − | 1.21424i | ||||
\(10\) | −7684.93 | − | 13310.7i | −0.243019 | − | 0.420921i | ||||
\(11\) | −46980.2 | −0.967492 | −0.483746 | − | 0.875208i | \(-0.660724\pi\) | ||||
−0.483746 | + | 0.875208i | \(0.660724\pi\) | |||||||
\(12\) | 55664.6 | 0.774932 | ||||||||
\(13\) | −35122.2 | − | 60833.5i | −0.341065 | − | 0.590742i | 0.643566 | − | 0.765391i | \(-0.277454\pi\) |
−0.984631 | + | 0.174649i | \(0.944121\pi\) | |||||||
\(14\) | 34470.2 | − | 59704.2i | 0.239810 | − | 0.415364i | ||||
\(15\) | −104438. | − | 180892.i | −0.532658 | − | 0.922591i | ||||
\(16\) | −32768.0 | + | 56755.8i | −0.125000 | + | 0.216506i | ||||
\(17\) | −176513. | + | 305730.i | −0.512575 | + | 0.887806i | 0.487318 | + | 0.873224i | \(0.337975\pi\) |
−0.999894 | + | 0.0145820i | \(0.995358\pi\) | |||||||
\(18\) | 441554. | 0.991421 | ||||||||
\(19\) | 514015. | + | 241819.i | 0.904867 | + | 0.425695i | ||||
\(20\) | 245918. | 0.343680 | ||||||||
\(21\) | 468450. | − | 811380.i | 0.525626 | − | 0.910411i | ||||
\(22\) | 375841. | − | 650976.i | 0.342060 | − | 0.592466i | ||||
\(23\) | 473632. | + | 820355.i | 0.352912 | + | 0.611261i | 0.986758 | − | 0.162198i | \(-0.0518583\pi\) |
−0.633847 | + | 0.773459i | \(0.718525\pi\) | |||||||
\(24\) | −445317. | + | 771312.i | −0.273980 | + | 0.474547i | ||||
\(25\) | 515171. | + | 892303.i | 0.263768 | + | 0.456859i | ||||
\(26\) | 1.12391e6 | 0.482339 | ||||||||
\(27\) | 1.72085e6 | 0.623171 | ||||||||
\(28\) | 551524. | + | 955267.i | 0.169572 | + | 0.293707i | ||||
\(29\) | −1.53799e6 | − | 2.66387e6i | −0.403795 | − | 0.699394i | 0.590385 | − | 0.807122i | \(-0.298976\pi\) |
−0.994180 | + | 0.107728i | \(0.965643\pi\) | |||||||
\(30\) | 3.34202e6 | 0.753292 | ||||||||
\(31\) | 2.95243e6 | 0.574185 | 0.287092 | − | 0.957903i | \(-0.407311\pi\) | ||||
0.287092 | + | 0.957903i | \(0.407311\pi\) | |||||||
\(32\) | −524288. | − | 908093.i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 5.10768e6 | − | 8.84677e6i | 0.749741 | − | 1.29859i | ||||
\(34\) | −2.82421e6 | − | 4.89168e6i | −0.362445 | − | 0.627774i | ||||
\(35\) | 2.06954e6 | − | 3.58455e6i | 0.233114 | − | 0.403765i | ||||
\(36\) | −3.53244e6 | + | 6.11836e6i | −0.350520 | + | 0.607119i | ||||
\(37\) | 1.34465e7 | 1.17951 | 0.589755 | − | 0.807582i | \(-0.299224\pi\) | ||||
0.589755 | + | 0.807582i | \(0.299224\pi\) | |||||||
\(38\) | −7.46286e6 | + | 5.18785e6i | −0.580602 | + | 0.403610i | ||||
\(39\) | 1.52740e7 | 1.05721 | ||||||||
\(40\) | −1.96734e6 | + | 3.40753e6i | −0.121509 | + | 0.210460i | ||||
\(41\) | −8.44173e6 | + | 1.46215e7i | −0.466556 | + | 0.808099i | −0.999270 | − | 0.0381963i | \(-0.987839\pi\) |
0.532714 | + | 0.846295i | \(0.321172\pi\) | |||||||
\(42\) | 7.49521e6 | + | 1.29821e7i | 0.371674 | + | 0.643758i | ||||
\(43\) | 37037.9 | − | 64151.5i | 0.00165211 | − | 0.00286153i | −0.865198 | − | 0.501430i | \(-0.832807\pi\) |
0.866850 | + | 0.498569i | \(0.166141\pi\) | |||||||
\(44\) | 6.01346e6 | + | 1.04156e7i | 0.241873 | + | 0.418936i | ||||
\(45\) | 2.65103e7 | 0.963735 | ||||||||
\(46\) | −1.51562e7 | −0.499093 | ||||||||
\(47\) | −1.15086e7 | − | 1.99335e7i | −0.344020 | − | 0.595860i | 0.641155 | − | 0.767411i | \(-0.278455\pi\) |
−0.985175 | + | 0.171551i | \(0.945122\pi\) | |||||||
\(48\) | −7.12507e6 | − | 1.23410e7i | −0.193733 | − | 0.335556i | ||||
\(49\) | −2.17880e7 | −0.539928 | ||||||||
\(50\) | −1.64855e7 | −0.373024 | ||||||||
\(51\) | −3.83811e7 | − | 6.64780e7i | −0.794422 | − | 1.37598i | ||||
\(52\) | −8.99129e6 | + | 1.55734e7i | −0.170532 | + | 0.295371i | ||||
\(53\) | −3.19791e7 | − | 5.53895e7i | −0.556705 | − | 0.964242i | −0.997769 | − | 0.0667659i | \(-0.978732\pi\) |
0.441063 | − | 0.897476i | \(-0.354601\pi\) | |||||||
\(54\) | −1.37668e7 | + | 2.38448e7i | −0.220324 | + | 0.381613i | ||||
\(55\) | 2.25649e7 | − | 3.90836e7i | 0.332508 | − | 0.575921i | ||||
\(56\) | −1.76488e7 | −0.239810 | ||||||||
\(57\) | −1.01420e8 | + | 7.05029e7i | −1.27259 | + | 0.884648i | ||||
\(58\) | 4.92155e7 | 0.571053 | ||||||||
\(59\) | −4.48577e7 | + | 7.76958e7i | −0.481951 | + | 0.834764i | −0.999785 | − | 0.0207170i | \(-0.993405\pi\) |
0.517834 | + | 0.855481i | \(0.326738\pi\) | |||||||
\(60\) | −2.67362e7 | + | 4.63084e7i | −0.266329 | + | 0.461295i | ||||
\(61\) | −8.22227e7 | − | 1.42414e8i | −0.760339 | − | 1.31695i | −0.942676 | − | 0.333710i | \(-0.891699\pi\) |
0.182336 | − | 0.983236i | \(-0.441634\pi\) | |||||||
\(62\) | −2.36194e7 | + | 4.09100e7i | −0.203005 | + | 0.351615i | ||||
\(63\) | 5.94550e7 | + | 1.02979e8i | 0.475506 | + | 0.823601i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | 6.74779e7 | 0.468869 | ||||||||
\(66\) | 8.17230e7 | + | 1.41548e8i | 0.530147 | + | 0.918242i | ||||
\(67\) | 9.56832e7 | + | 1.65728e8i | 0.580095 | + | 1.00475i | 0.995467 | + | 0.0951025i | \(0.0303179\pi\) |
−0.415373 | + | 0.909651i | \(0.636349\pi\) | |||||||
\(68\) | 9.03749e7 | 0.512575 | ||||||||
\(69\) | −2.05973e8 | −1.09393 | ||||||||
\(70\) | 3.31126e7 | + | 5.73528e7i | 0.164836 | + | 0.285505i | ||||
\(71\) | −1.80473e7 | + | 3.12589e7i | −0.0842851 | + | 0.145986i | −0.905086 | − | 0.425228i | \(-0.860194\pi\) |
0.820801 | + | 0.571214i | \(0.193527\pi\) | |||||||
\(72\) | −5.65190e7 | − | 9.78937e7i | −0.247855 | − | 0.429298i | ||||
\(73\) | 1.80983e8 | − | 3.13472e8i | 0.745909 | − | 1.29195i | −0.203860 | − | 0.979000i | \(-0.565349\pi\) |
0.949769 | − | 0.312952i | \(-0.101318\pi\) | |||||||
\(74\) | −1.07572e8 | + | 1.86320e8i | −0.417020 | + | 0.722300i | ||||
\(75\) | −2.24038e8 | −0.817608 | ||||||||
\(76\) | −1.21822e7 | − | 1.44911e8i | −0.0418855 | − | 0.498243i | ||||
\(77\) | 2.02427e8 | 0.656237 | ||||||||
\(78\) | −1.22192e8 | + | 2.11642e8i | −0.373780 | + | 0.647406i | ||||
\(79\) | 1.48824e8 | − | 2.57771e8i | 0.429885 | − | 0.744582i | −0.566978 | − | 0.823733i | \(-0.691888\pi\) |
0.996863 | + | 0.0791508i | \(0.0252209\pi\) | |||||||
\(80\) | −3.14775e7 | − | 5.45206e7i | −0.0859201 | − | 0.148818i | ||||
\(81\) | 8.45062e7 | − | 1.46369e8i | 0.218125 | − | 0.377804i | ||||
\(82\) | −1.35068e8 | − | 2.33944e8i | −0.329905 | − | 0.571412i | ||||
\(83\) | 6.78948e8 | 1.57031 | 0.785155 | − | 0.619299i | \(-0.212583\pi\) | ||||
0.785155 | + | 0.619299i | \(0.212583\pi\) | |||||||
\(84\) | −2.39847e8 | −0.525626 | ||||||||
\(85\) | −1.69562e8 | − | 2.93689e8i | −0.352324 | − | 0.610243i | ||||
\(86\) | 592606. | + | 1.02642e6i | 0.00116822 | + | 0.00202341i | ||||
\(87\) | 6.68839e8 | 1.25166 | ||||||||
\(88\) | −1.92431e8 | −0.342060 | ||||||||
\(89\) | −3.90880e8 | − | 6.77025e8i | −0.660372 | − | 1.14380i | −0.980518 | − | 0.196430i | \(-0.937065\pi\) |
0.320146 | − | 0.947368i | \(-0.396268\pi\) | |||||||
\(90\) | −2.12082e8 | + | 3.67337e8i | −0.340732 | + | 0.590165i | ||||
\(91\) | 1.51334e8 | + | 2.62118e8i | 0.231340 | + | 0.400692i | ||||
\(92\) | 1.21250e8 | − | 2.10011e8i | 0.176456 | − | 0.305631i | ||||
\(93\) | −3.20988e8 | + | 5.55967e8i | −0.444954 | + | 0.770683i | ||||
\(94\) | 3.68276e8 | 0.486518 | ||||||||
\(95\) | −4.48059e8 | + | 3.11471e8i | −0.564389 | + | 0.392339i | ||||
\(96\) | 2.28002e8 | 0.273980 | ||||||||
\(97\) | 4.56647e8 | − | 7.90935e8i | 0.523730 | − | 0.907127i | −0.475888 | − | 0.879506i | \(-0.657873\pi\) |
0.999618 | − | 0.0276214i | \(-0.00879327\pi\) | |||||||
\(98\) | 1.74304e8 | − | 3.01904e8i | 0.190893 | − | 0.330637i | ||||
\(99\) | 6.48260e8 | + | 1.12282e9i | 0.678251 | + | 1.17477i | ||||
\(100\) | 1.31884e8 | − | 2.28430e8i | 0.131884 | − | 0.228430i | ||||
\(101\) | −4.08242e8 | − | 7.07096e8i | −0.390366 | − | 0.676133i | 0.602132 | − | 0.798397i | \(-0.294318\pi\) |
−0.992498 | + | 0.122263i | \(0.960985\pi\) | |||||||
\(102\) | 1.22819e9 | 1.12348 | ||||||||
\(103\) | 8.37127e8 | 0.732865 | 0.366433 | − | 0.930445i | \(-0.380579\pi\) | ||||
0.366433 | + | 0.930445i | \(0.380579\pi\) | |||||||
\(104\) | −1.43861e8 | − | 2.49174e8i | −0.120585 | − | 0.208859i | ||||
\(105\) | 4.50001e8 | + | 7.79424e8i | 0.361295 | + | 0.625781i | ||||
\(106\) | 1.02333e9 | 0.787300 | ||||||||
\(107\) | 1.21307e9 | 0.894662 | 0.447331 | − | 0.894368i | \(-0.352375\pi\) | ||||
0.447331 | + | 0.894368i | \(0.352375\pi\) | |||||||
\(108\) | −2.20269e8 | − | 3.81518e8i | −0.155793 | − | 0.269841i | ||||
\(109\) | −1.25894e9 | + | 2.18055e9i | −0.854252 | + | 1.47961i | 0.0230853 | + | 0.999733i | \(0.492651\pi\) |
−0.877337 | + | 0.479874i | \(0.840682\pi\) | |||||||
\(110\) | 3.61039e8 | + | 6.25338e8i | 0.235119 | + | 0.407238i | ||||
\(111\) | −1.46190e9 | + | 2.53209e9i | −0.914041 | + | 1.58317i | ||||
\(112\) | 1.41190e8 | − | 2.44548e8i | 0.0847858 | − | 0.146853i | ||||
\(113\) | −1.35482e9 | −0.781679 | −0.390840 | − | 0.920459i | \(-0.627815\pi\) | ||||
−0.390840 | + | 0.920459i | \(0.627815\pi\) | |||||||
\(114\) | −1.65556e8 | − | 1.96934e9i | −0.0918062 | − | 1.09207i | ||||
\(115\) | −9.09957e8 | −0.485155 | ||||||||
\(116\) | −3.93724e8 | + | 6.81950e8i | −0.201898 | + | 0.349697i | ||||
\(117\) | −9.69274e8 | + | 1.67883e9i | −0.478200 | + | 0.828268i | ||||
\(118\) | −7.17723e8 | − | 1.24313e9i | −0.340791 | − | 0.590267i | ||||
\(119\) | 7.60557e8 | − | 1.31732e9i | 0.347673 | − | 0.602187i | ||||
\(120\) | −4.27779e8 | − | 7.40934e8i | −0.188323 | − | 0.326185i | ||||
\(121\) | −1.50811e8 | −0.0639586 | ||||||||
\(122\) | 2.63113e9 | 1.07528 | ||||||||
\(123\) | −1.83557e9 | − | 3.17930e9i | −0.723099 | − | 1.25244i | ||||
\(124\) | −3.77911e8 | − | 6.54560e8i | −0.143546 | − | 0.248629i | ||||
\(125\) | −2.86597e9 | −1.04997 | ||||||||
\(126\) | −1.90256e9 | −0.672467 | ||||||||
\(127\) | −1.89285e9 | − | 3.27852e9i | −0.645655 | − | 1.11831i | −0.984150 | − | 0.177339i | \(-0.943251\pi\) |
0.338495 | − | 0.940968i | \(-0.390082\pi\) | |||||||
\(128\) | −1.34218e8 | + | 2.32472e8i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 8.05352e6 | + | 1.39491e7i | 0.00256054 | + | 0.00443499i | ||||
\(130\) | −5.39823e8 | + | 9.35002e8i | −0.165770 | + | 0.287123i | ||||
\(131\) | −8.21718e8 | + | 1.42326e9i | −0.243782 | + | 0.422243i | −0.961789 | − | 0.273793i | \(-0.911722\pi\) |
0.718006 | + | 0.696037i | \(0.245055\pi\) | |||||||
\(132\) | −2.61513e9 | −0.749741 | ||||||||
\(133\) | −2.21478e9 | − | 1.04194e9i | −0.613759 | − | 0.288743i | ||||
\(134\) | −3.06186e9 | −0.820378 | ||||||||
\(135\) | −8.26540e8 | + | 1.43161e9i | −0.214171 | + | 0.370956i | ||||
\(136\) | −7.22999e8 | + | 1.25227e9i | −0.181223 | + | 0.313887i | ||||
\(137\) | 2.70615e9 | + | 4.68720e9i | 0.656312 | + | 1.13676i | 0.981563 | + | 0.191137i | \(0.0612176\pi\) |
−0.325252 | + | 0.945627i | \(0.605449\pi\) | |||||||
\(138\) | 1.64779e9 | − | 2.85405e9i | 0.386763 | − | 0.669893i | ||||
\(139\) | 1.38354e8 | + | 2.39637e8i | 0.0314359 | + | 0.0544486i | 0.881315 | − | 0.472529i | \(-0.156659\pi\) |
−0.849879 | + | 0.526977i | \(0.823325\pi\) | |||||||
\(140\) | −1.05960e9 | −0.233114 | ||||||||
\(141\) | 5.00488e9 | 1.06637 | ||||||||
\(142\) | −2.88758e8 | − | 5.00143e8i | −0.0595986 | − | 0.103228i | ||||
\(143\) | 1.65005e9 | + | 2.85797e9i | 0.329978 | + | 0.571538i | ||||
\(144\) | 1.80861e9 | 0.350520 | ||||||||
\(145\) | 2.95483e9 | 0.555106 | ||||||||
\(146\) | 2.89573e9 | + | 5.01556e9i | 0.527437 | + | 0.913548i | ||||
\(147\) | 2.36880e9 | − | 4.10287e9i | 0.418408 | − | 0.724703i | ||||
\(148\) | −1.72115e9 | − | 2.98113e9i | −0.294878 | − | 0.510743i | ||||
\(149\) | −4.01335e9 | + | 6.95132e9i | −0.667066 | + | 1.15539i | 0.311655 | + | 0.950195i | \(0.399117\pi\) |
−0.978721 | + | 0.205196i | \(0.934217\pi\) | |||||||
\(150\) | 1.79230e9 | − | 3.10436e9i | 0.289068 | − | 0.500681i | ||||
\(151\) | −2.16979e9 | −0.339643 | −0.169821 | − | 0.985475i | \(-0.554319\pi\) | ||||
−0.169821 | + | 0.985475i | \(0.554319\pi\) | |||||||
\(152\) | 2.10541e9 | + | 9.90489e8i | 0.319919 | + | 0.150506i | ||||
\(153\) | 9.74254e9 | 1.43734 | ||||||||
\(154\) | −1.61942e9 | + | 2.80491e9i | −0.232015 | + | 0.401861i | ||||
\(155\) | −1.41807e9 | + | 2.45618e9i | −0.197336 | + | 0.341796i | ||||
\(156\) | −1.95507e9 | − | 3.38627e9i | −0.264302 | − | 0.457785i | ||||
\(157\) | 5.85446e9 | − | 1.01402e10i | 0.769021 | − | 1.33198i | −0.169073 | − | 0.985604i | \(-0.554077\pi\) |
0.938094 | − | 0.346380i | \(-0.112589\pi\) | |||||||
\(158\) | 2.38119e9 | + | 4.12434e9i | 0.303974 | + | 0.526499i | ||||
\(159\) | 1.39071e10 | 1.72564 | ||||||||
\(160\) | 1.00728e9 | 0.121509 | ||||||||
\(161\) | −2.04078e9 | − | 3.53473e9i | −0.239375 | − | 0.414610i | ||||
\(162\) | 1.35210e9 | + | 2.34190e9i | 0.154238 | + | 0.267148i | ||||
\(163\) | −1.28230e10 | −1.42280 | −0.711402 | − | 0.702786i | \(-0.751939\pi\) | ||||
−0.711402 | + | 0.702786i | \(0.751939\pi\) | |||||||
\(164\) | 4.32216e9 | 0.466556 | ||||||||
\(165\) | 4.90652e9 | + | 8.49835e9i | 0.515343 | + | 0.892599i | ||||
\(166\) | −5.43159e9 | + | 9.40779e9i | −0.555188 | + | 0.961615i | ||||
\(167\) | −6.38176e9 | − | 1.10535e10i | −0.634916 | − | 1.09971i | −0.986533 | − | 0.163563i | \(-0.947701\pi\) |
0.351617 | − | 0.936144i | \(-0.385632\pi\) | |||||||
\(168\) | 1.91877e9 | − | 3.32341e9i | 0.185837 | − | 0.321879i | ||||
\(169\) | 2.83511e9 | − | 4.91055e9i | 0.267350 | − | 0.463063i | ||||
\(170\) | 5.42597e9 | 0.498261 | ||||||||
\(171\) | −1.31325e9 | − | 1.56216e10i | −0.117454 | − | 1.39715i | ||||
\(172\) | −1.89634e7 | −0.00165211 | ||||||||
\(173\) | −8.25819e9 | + | 1.43036e10i | −0.700934 | + | 1.21405i | 0.267205 | + | 0.963640i | \(0.413900\pi\) |
−0.968139 | + | 0.250414i | \(0.919433\pi\) | |||||||
\(174\) | −5.35071e9 | + | 9.26771e9i | −0.442527 | + | 0.766480i | ||||
\(175\) | −2.21976e9 | − | 3.84473e9i | −0.178910 | − | 0.309881i | ||||
\(176\) | 1.53945e9 | − | 2.66640e9i | 0.120937 | − | 0.209468i | ||||
\(177\) | −9.75386e9 | − | 1.68942e10i | −0.746959 | − | 1.29377i | ||||
\(178\) | 1.25082e10 | 0.933907 | ||||||||
\(179\) | 3.43746e9 | 0.250264 | 0.125132 | − | 0.992140i | \(-0.460064\pi\) | ||||
0.125132 | + | 0.992140i | \(0.460064\pi\) | |||||||
\(180\) | −3.39331e9 | − | 5.87739e9i | −0.240934 | − | 0.417310i | ||||
\(181\) | −6.94508e8 | − | 1.20292e9i | −0.0480977 | − | 0.0833076i | 0.840974 | − | 0.541075i | \(-0.181983\pi\) |
−0.889072 | + | 0.457768i | \(0.848649\pi\) | |||||||
\(182\) | −4.84268e9 | −0.327164 | ||||||||
\(183\) | 3.57570e10 | 2.35685 | ||||||||
\(184\) | 1.94000e9 | + | 3.36018e9i | 0.124773 | + | 0.216113i | ||||
\(185\) | −6.45847e9 | + | 1.11864e10i | −0.405375 | + | 0.702129i | ||||
\(186\) | −5.13581e9 | − | 8.89548e9i | −0.314630 | − | 0.544955i | ||||
\(187\) | 8.29263e9 | − | 1.43633e10i | 0.495913 | − | 0.858946i | ||||
\(188\) | −2.94621e9 | + | 5.10299e9i | −0.172010 | + | 0.297930i | ||||
\(189\) | −7.41478e9 | −0.422688 | ||||||||
\(190\) | −7.31399e8 | − | 8.70025e9i | −0.0407158 | − | 0.484329i | ||||
\(191\) | 2.25719e10 | 1.22721 | 0.613605 | − | 0.789613i | \(-0.289719\pi\) | ||||
0.613605 | + | 0.789613i | \(0.289719\pi\) | |||||||
\(192\) | −1.82402e9 | + | 3.15929e9i | −0.0968665 | + | 0.167778i | ||||
\(193\) | −1.34652e10 | + | 2.33224e10i | −0.698562 | + | 1.20995i | 0.270403 | + | 0.962747i | \(0.412843\pi\) |
−0.968965 | + | 0.247198i | \(0.920490\pi\) | |||||||
\(194\) | 7.30635e9 | + | 1.26550e10i | 0.370333 | + | 0.641436i | ||||
\(195\) | −7.33620e9 | + | 1.27067e10i | −0.363342 | + | 0.629327i | ||||
\(196\) | 2.78887e9 | + | 4.83046e9i | 0.134982 | + | 0.233796i | ||||
\(197\) | 8.66105e9 | 0.409706 | 0.204853 | − | 0.978793i | \(-0.434328\pi\) | ||||
0.204853 | + | 0.978793i | \(0.434328\pi\) | |||||||
\(198\) | −2.07443e10 | −0.959192 | ||||||||
\(199\) | −1.03519e10 | − | 1.79299e10i | −0.467928 | − | 0.810475i | 0.531400 | − | 0.847121i | \(-0.321666\pi\) |
−0.999328 | + | 0.0366455i | \(0.988333\pi\) | |||||||
\(200\) | 2.11014e9 | + | 3.65487e9i | 0.0932560 | + | 0.161524i | ||||
\(201\) | −4.16107e10 | −1.79814 | ||||||||
\(202\) | 1.30638e10 | 0.552061 | ||||||||
\(203\) | 6.62684e9 | + | 1.14780e10i | 0.273889 | + | 0.474389i | ||||
\(204\) | −9.82556e9 | + | 1.70184e10i | −0.397211 | + | 0.687990i | ||||
\(205\) | −8.10926e9 | − | 1.40456e10i | −0.320692 | − | 0.555455i | ||||
\(206\) | −6.69702e9 | + | 1.15996e10i | −0.259107 | + | 0.448786i | ||||
\(207\) | 1.30709e10 | − | 2.26395e10i | 0.494811 | − | 0.857037i | ||||
\(208\) | 4.60354e9 | 0.170532 | ||||||||
\(209\) | −2.41485e10 | − | 1.13607e10i | −0.875452 | − | 0.411856i | ||||
\(210\) | −1.44000e10 | −0.510948 | ||||||||
\(211\) | −2.98524e9 | + | 5.17059e9i | −0.103683 | + | 0.179585i | −0.913199 | − | 0.407513i | \(-0.866396\pi\) |
0.809516 | + | 0.587097i | \(0.199729\pi\) | |||||||
\(212\) | −8.18666e9 | + | 1.41797e10i | −0.278353 | + | 0.482121i | ||||
\(213\) | −3.92422e9 | − | 6.79694e9i | −0.130631 | − | 0.226259i | ||||
\(214\) | −9.70456e9 | + | 1.68088e10i | −0.316311 | + | 0.547866i | ||||
\(215\) | 3.55792e7 | + | 6.16249e7i | 0.00113559 | + | 0.00196691i | ||||
\(216\) | 7.04862e9 | 0.220324 | ||||||||
\(217\) | −1.27214e10 | −0.389462 | ||||||||
\(218\) | −2.01430e10 | − | 3.48888e10i | −0.604047 | − | 1.04624i | ||||
\(219\) | 3.93530e10 | + | 6.81614e10i | 1.15606 | + | 2.00235i | ||||
\(220\) | −1.15533e10 | −0.332508 | ||||||||
\(221\) | 2.47982e10 | 0.699286 | ||||||||
\(222\) | −2.33905e10 | − | 4.05135e10i | −0.646325 | − | 1.11947i | ||||
\(223\) | −1.90123e9 | + | 3.29302e9i | −0.0514828 | + | 0.0891708i | −0.890618 | − | 0.454752i | \(-0.849728\pi\) |
0.839136 | + | 0.543922i | \(0.183061\pi\) | |||||||
\(224\) | 2.25904e9 | + | 3.91277e9i | 0.0599526 | + | 0.103841i | ||||
\(225\) | 1.42173e10 | − | 2.46250e10i | 0.369824 | − | 0.640553i | ||||
\(226\) | 1.08386e10 | − | 1.87729e10i | 0.276365 | − | 0.478679i | ||||
\(227\) | −3.08784e9 | −0.0771861 | −0.0385931 | − | 0.999255i | \(-0.512288\pi\) | ||||
−0.0385931 | + | 0.999255i | \(0.512288\pi\) | |||||||
\(228\) | 2.86125e10 | + | 1.34607e10i | 0.701211 | + | 0.329885i | ||||
\(229\) | −7.82684e10 | −1.88073 | −0.940365 | − | 0.340166i | \(-0.889517\pi\) | ||||
−0.940365 | + | 0.340166i | \(0.889517\pi\) | |||||||
\(230\) | 7.27966e9 | − | 1.26087e10i | 0.171528 | − | 0.297096i | ||||
\(231\) | −2.20079e10 | + | 3.81188e10i | −0.508539 | + | 0.880815i | ||||
\(232\) | −6.29959e9 | − | 1.09112e10i | −0.142763 | − | 0.247273i | ||||
\(233\) | 2.77648e10 | − | 4.80900e10i | 0.617152 | − | 1.06894i | −0.372851 | − | 0.927891i | \(-0.621620\pi\) |
0.990003 | − | 0.141047i | \(-0.0450470\pi\) | |||||||
\(234\) | −1.55084e10 | − | 2.68613e10i | −0.338139 | − | 0.585674i | ||||
\(235\) | 2.21108e10 | 0.472931 | ||||||||
\(236\) | 2.29671e10 | 0.481951 | ||||||||
\(237\) | 3.23604e10 | + | 5.60498e10i | 0.666263 | + | 1.15400i | ||||
\(238\) | 1.21689e10 | + | 2.10772e10i | 0.245842 | + | 0.425810i | ||||
\(239\) | −1.98975e10 | −0.394465 | −0.197233 | − | 0.980357i | \(-0.563195\pi\) | ||||
−0.197233 | + | 0.980357i | \(0.563195\pi\) | |||||||
\(240\) | 1.36889e10 | 0.266329 | ||||||||
\(241\) | −2.86714e10 | − | 4.96603e10i | −0.547485 | − | 0.948271i | −0.998446 | − | 0.0557279i | \(-0.982252\pi\) |
0.450961 | − | 0.892544i | \(-0.351081\pi\) | |||||||
\(242\) | 1.20649e9 | − | 2.08970e9i | 0.0226128 | − | 0.0391665i | ||||
\(243\) | 3.53108e10 | + | 6.11601e10i | 0.649650 | + | 1.12523i | ||||
\(244\) | −2.10490e10 | + | 3.64580e10i | −0.380170 | + | 0.658473i | ||||
\(245\) | 1.04650e10 | − | 1.81259e10i | 0.185563 | − | 0.321404i | ||||
\(246\) | 5.87382e10 | 1.02262 | ||||||||
\(247\) | −3.34269e9 | − | 3.97625e10i | −0.0571426 | − | 0.679732i | ||||
\(248\) | 1.20931e10 | 0.203005 | ||||||||
\(249\) | −7.38153e10 | + | 1.27852e11i | −1.21688 | + | 2.10771i | ||||
\(250\) | 2.29277e10 | − | 3.97120e10i | 0.371220 | − | 0.642971i | ||||
\(251\) | 3.54478e10 | + | 6.13975e10i | 0.563713 | + | 0.976379i | 0.997168 | + | 0.0752043i | \(0.0239609\pi\) |
−0.433455 | + | 0.901175i | \(0.642706\pi\) | |||||||
\(252\) | 1.52205e10 | − | 2.63626e10i | 0.237753 | − | 0.411800i | ||||
\(253\) | −2.22513e10 | − | 3.85404e10i | −0.341439 | − | 0.591390i | ||||
\(254\) | 6.05713e10 | 0.913094 | ||||||||
\(255\) | 7.37389e10 | 1.09211 | ||||||||
\(256\) | −2.14748e9 | − | 3.71955e9i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.62545e10 | − | 8.01151e10i | −0.661386 | − | 1.14555i | −0.980252 | − | 0.197754i | \(-0.936635\pi\) |
0.318866 | − | 0.947800i | \(-0.396698\pi\) | |||||||
\(258\) | −2.57713e8 | −0.00362115 | ||||||||
\(259\) | −5.79380e10 | −0.800046 | ||||||||
\(260\) | −8.63718e9 | − | 1.49600e10i | −0.117217 | − | 0.203026i | ||||
\(261\) | −4.24440e10 | + | 7.35152e10i | −0.566154 | + | 0.980607i | ||||
\(262\) | −1.31475e10 | − | 2.27721e10i | −0.172380 | − | 0.298571i | ||||
\(263\) | 3.22796e10 | − | 5.59100e10i | 0.416033 | − | 0.720590i | −0.579503 | − | 0.814970i | \(-0.696753\pi\) |
0.995536 | + | 0.0943798i | \(0.0300868\pi\) | |||||||
\(264\) | 2.09211e10 | − | 3.62364e10i | 0.265074 | − | 0.459121i | ||||
\(265\) | 6.14393e10 | 0.765315 | ||||||||
\(266\) | 3.21558e10 | − | 2.23533e10i | 0.393815 | − | 0.273763i | ||||
\(267\) | 1.69986e11 | 2.04698 | ||||||||
\(268\) | 2.44949e10 | − | 4.24264e10i | 0.290047 | − | 0.502377i | ||||
\(269\) | −4.32699e10 | + | 7.49458e10i | −0.503850 | + | 0.872694i | 0.496140 | + | 0.868242i | \(0.334750\pi\) |
−0.999990 | + | 0.00445114i | \(0.998583\pi\) | |||||||
\(270\) | −1.32246e10 | − | 2.29057e10i | −0.151442 | − | 0.262305i | ||||
\(271\) | 8.05468e10 | − | 1.39511e11i | 0.907165 | − | 1.57126i | 0.0891811 | − | 0.996015i | \(-0.471575\pi\) |
0.817984 | − | 0.575241i | \(-0.195092\pi\) | |||||||
\(272\) | −1.15680e10 | − | 2.00363e10i | −0.128144 | − | 0.221952i | ||||
\(273\) | −6.58121e10 | −0.717090 | ||||||||
\(274\) | −8.65969e10 | −0.928165 | ||||||||
\(275\) | −2.42028e10 | − | 4.19205e10i | −0.255193 | − | 0.442008i | ||||
\(276\) | 2.63646e10 | + | 4.56648e10i | 0.273483 | + | 0.473686i | ||||
\(277\) | −5.19873e10 | −0.530565 | −0.265282 | − | 0.964171i | \(-0.585465\pi\) | ||||
−0.265282 | + | 0.964171i | \(0.585465\pi\) | |||||||
\(278\) | −4.42733e9 | −0.0444571 | ||||||||
\(279\) | −4.07393e10 | − | 7.05625e10i | −0.402527 | − | 0.697197i | ||||
\(280\) | 8.47684e9 | − | 1.46823e10i | 0.0824181 | − | 0.142752i | ||||
\(281\) | 9.30212e10 | + | 1.61117e11i | 0.890027 | + | 1.54157i | 0.839841 | + | 0.542833i | \(0.182648\pi\) |
0.0501868 | + | 0.998740i | \(0.484018\pi\) | |||||||
\(282\) | −4.00390e10 | + | 6.93496e10i | −0.377018 | + | 0.653015i | ||||
\(283\) | −6.66910e10 | + | 1.15512e11i | −0.618057 | + | 1.07051i | 0.371783 | + | 0.928320i | \(0.378747\pi\) |
−0.989840 | + | 0.142186i | \(0.954587\pi\) | |||||||
\(284\) | 9.24024e9 | 0.0842851 | ||||||||
\(285\) | −9.93971e9 | − | 1.18236e11i | −0.0892425 | − | 1.06157i | ||||
\(286\) | −5.28015e10 | −0.466659 | ||||||||
\(287\) | 3.63735e10 | − | 6.30008e10i | 0.316459 | − | 0.548122i | ||||
\(288\) | −1.44689e10 | + | 2.50608e10i | −0.123928 | + | 0.214649i | ||||
\(289\) | −3.02003e9 | − | 5.23085e9i | −0.0254666 | − | 0.0441095i | ||||
\(290\) | −2.36386e10 | + | 4.09433e10i | −0.196260 | + | 0.339932i | ||||
\(291\) | 9.92932e10 | + | 1.71981e11i | 0.811711 | + | 1.40592i | ||||
\(292\) | −9.26635e10 | −0.745909 | ||||||||
\(293\) | 3.80251e10 | 0.301416 | 0.150708 | − | 0.988578i | \(-0.451845\pi\) | ||||
0.150708 | + | 0.988578i | \(0.451845\pi\) | |||||||
\(294\) | 3.79007e10 | + | 6.56460e10i | 0.295859 | + | 0.512442i | ||||
\(295\) | −4.30910e10 | − | 7.46358e10i | −0.331274 | − | 0.573784i | ||||
\(296\) | 5.50769e10 | 0.417020 | ||||||||
\(297\) | −8.08460e10 | −0.602913 | ||||||||
\(298\) | −6.42136e10 | − | 1.11221e11i | −0.471687 | − | 0.816985i | ||||
\(299\) | 3.32700e10 | − | 5.76254e10i | 0.240732 | − | 0.416959i | ||||
\(300\) | 2.86768e10 | + | 4.96697e10i | 0.204402 | + | 0.354035i | ||||
\(301\) | −1.59588e8 | + | 2.76415e8i | −0.00112060 | + | 0.00194094i | ||||
\(302\) | 1.73583e10 | − | 3.00655e10i | 0.120082 | − | 0.207988i | ||||
\(303\) | 1.77536e11 | 1.21003 | ||||||||
\(304\) | −3.05679e10 | + | 2.12494e10i | −0.205274 | + | 0.142698i | ||||
\(305\) | 1.57969e11 | 1.04525 | ||||||||
\(306\) | −7.79403e10 | + | 1.34997e11i | −0.508178 | + | 0.880190i | ||||
\(307\) | −4.20325e9 | + | 7.28024e9i | −0.0270061 | + | 0.0467760i | −0.879213 | − | 0.476430i | \(-0.841931\pi\) |
0.852206 | + | 0.523206i | \(0.175264\pi\) | |||||||
\(308\) | −2.59107e10 | − | 4.48786e10i | −0.164059 | − | 0.284159i | ||||
\(309\) | −9.10125e10 | + | 1.57638e11i | −0.567921 | + | 0.983668i | ||||
\(310\) | −2.26892e10 | − | 3.92988e10i | −0.139538 | − | 0.241686i | ||||
\(311\) | −4.30357e10 | −0.260860 | −0.130430 | − | 0.991458i | \(-0.541636\pi\) | ||||
−0.130430 | + | 0.991458i | \(0.541636\pi\) | |||||||
\(312\) | 6.25621e10 | 0.373780 | ||||||||
\(313\) | −7.98991e10 | − | 1.38389e11i | −0.470535 | − | 0.814991i | 0.528897 | − | 0.848686i | \(-0.322606\pi\) |
−0.999432 | + | 0.0336951i | \(0.989272\pi\) | |||||||
\(314\) | 9.36714e10 | + | 1.62244e11i | 0.543780 | + | 0.941855i | ||||
\(315\) | −1.14227e11 | −0.653688 | ||||||||
\(316\) | −7.61981e10 | −0.429885 | ||||||||
\(317\) | −2.24872e9 | − | 3.89490e9i | −0.0125075 | − | 0.0216636i | 0.859704 | − | 0.510793i | \(-0.170648\pi\) |
−0.872211 | + | 0.489129i | \(0.837315\pi\) | |||||||
\(318\) | −1.11257e11 | + | 1.92702e11i | −0.610104 | + | 1.05673i | ||||
\(319\) | 7.22548e10 | + | 1.25149e11i | 0.390669 | + | 0.676658i | ||||
\(320\) | −8.05823e9 | + | 1.39573e10i | −0.0429600 | + | 0.0744090i | ||||
\(321\) | −1.31885e11 | + | 2.28432e11i | −0.693303 | + | 1.20084i | ||||
\(322\) | 6.53049e10 | 0.338528 | ||||||||
\(323\) | −1.64662e11 | + | 1.14466e11i | −0.841747 | + | 0.585146i | ||||
\(324\) | −4.32672e10 | −0.218125 | ||||||||
\(325\) | 3.61879e10 | − | 6.26793e10i | 0.179924 | − | 0.311637i | ||||
\(326\) | 1.02584e11 | − | 1.77680e11i | 0.503037 | − | 0.871285i | ||||
\(327\) | −2.73744e11 | − | 4.74139e11i | −1.32398 | − | 2.29319i | ||||
\(328\) | −3.45773e10 | + | 5.98897e10i | −0.164953 | + | 0.285706i | ||||
\(329\) | 4.95882e10 | + | 8.58892e10i | 0.233344 | + | 0.404164i | ||||
\(330\) | −1.57009e11 | −0.728804 | ||||||||
\(331\) | −2.81586e11 | −1.28939 | −0.644696 | − | 0.764439i | \(-0.723016\pi\) | ||||
−0.644696 | + | 0.764439i | \(0.723016\pi\) | |||||||
\(332\) | −8.69054e10 | − | 1.50525e11i | −0.392578 | − | 0.679964i | ||||
\(333\) | −1.85543e11 | − | 3.21369e11i | −0.826885 | − | 1.43221i | ||||
\(334\) | 2.04216e11 | 0.897907 | ||||||||
\(335\) | −1.83830e11 | −0.797469 | ||||||||
\(336\) | 3.07004e10 | + | 5.31746e10i | 0.131406 | + | 0.227603i | ||||
\(337\) | 1.77308e11 | − | 3.07106e11i | 0.748847 | − | 1.29704i | −0.199529 | − | 0.979892i | \(-0.563941\pi\) |
0.948376 | − | 0.317148i | \(-0.102725\pi\) | |||||||
\(338\) | 4.53617e10 | + | 7.85688e10i | 0.189045 | + | 0.327435i | ||||
\(339\) | 1.47296e11 | − | 2.55124e11i | 0.605749 | − | 1.04919i | ||||
\(340\) | −4.34078e10 | + | 7.51844e10i | −0.176162 | + | 0.305122i | ||||
\(341\) | −1.38706e11 | −0.555519 | ||||||||
\(342\) | 2.26966e11 | + | 1.06776e11i | 0.897104 | + | 0.422043i | ||||
\(343\) | 2.67755e11 | 1.04451 | ||||||||
\(344\) | 1.51707e8 | − | 2.62765e8i | 0.000584108 | − | 0.00101170i | ||||
\(345\) | 9.89306e10 | − | 1.71353e11i | 0.375962 | − | 0.651186i | ||||
\(346\) | −1.32131e11 | − | 2.28858e11i | −0.495635 | − | 0.858466i | ||||
\(347\) | −1.79688e11 | + | 3.11229e11i | −0.665330 | + | 1.15239i | 0.313866 | + | 0.949467i | \(0.398376\pi\) |
−0.979196 | + | 0.202918i | \(0.934958\pi\) | |||||||
\(348\) | −8.56114e10 | − | 1.48283e11i | −0.312914 | − | 0.541983i | ||||
\(349\) | −1.91646e11 | −0.691490 | −0.345745 | − | 0.938329i | \(-0.612374\pi\) | ||||
−0.345745 | + | 0.938329i | \(0.612374\pi\) | |||||||
\(350\) | 7.10323e10 | 0.253017 | ||||||||
\(351\) | −6.04402e10 | − | 1.04686e11i | −0.212542 | − | 0.368133i | ||||
\(352\) | 2.46311e10 | + | 4.26624e10i | 0.0855150 | + | 0.148116i | ||||
\(353\) | 4.28920e9 | 0.0147025 | 0.00735123 | − | 0.999973i | \(-0.497660\pi\) | ||||
0.00735123 | + | 0.999973i | \(0.497660\pi\) | |||||||
\(354\) | 3.12124e11 | 1.05636 | ||||||||
\(355\) | −1.73366e10 | − | 3.00278e10i | −0.0579343 | − | 0.100345i | ||||
\(356\) | −1.00065e11 | + | 1.73318e11i | −0.330186 | + | 0.571899i | ||||
\(357\) | 1.65376e11 | + | 2.86439e11i | 0.538846 | + | 0.933308i | ||||
\(358\) | −2.74997e10 | + | 4.76309e10i | −0.0884818 | + | 0.153255i | ||||
\(359\) | 1.77890e11 | − | 3.08115e11i | 0.565233 | − | 0.979012i | −0.431795 | − | 0.901972i | \(-0.642120\pi\) |
0.997028 | − | 0.0770402i | \(-0.0245470\pi\) | |||||||
\(360\) | 1.08586e11 | 0.340732 | ||||||||
\(361\) | 2.05735e11 | + | 2.48597e11i | 0.637568 | + | 0.770394i | ||||
\(362\) | 2.22243e10 | 0.0680204 | ||||||||
\(363\) | 1.63962e10 | − | 2.83990e10i | 0.0495636 | − | 0.0858466i | ||||
\(364\) | 3.87415e10 | − | 6.71022e10i | 0.115670 | − | 0.200346i | ||||
\(365\) | 1.73855e11 | + | 3.01126e11i | 0.512708 | + | 0.888037i | ||||
\(366\) | −2.86056e11 | + | 4.95464e11i | −0.833271 | + | 1.44327i | ||||
\(367\) | 3.26433e11 | + | 5.65399e11i | 0.939284 | + | 1.62689i | 0.766811 | + | 0.641873i | \(0.221842\pi\) |
0.172473 | + | 0.985014i | \(0.444824\pi\) | |||||||
\(368\) | −6.20799e10 | −0.176456 | ||||||||
\(369\) | 4.65935e11 | 1.30830 | ||||||||
\(370\) | −1.03335e11 | − | 1.78982e11i | −0.286643 | − | 0.496481i | ||||
\(371\) | 1.37791e11 | + | 2.38661e11i | 0.377606 | + | 0.654032i | ||||
\(372\) | 1.64346e11 | 0.444954 | ||||||||
\(373\) | 1.86874e11 | 0.499873 | 0.249937 | − | 0.968262i | \(-0.419590\pi\) | ||||
0.249937 | + | 0.968262i | \(0.419590\pi\) | |||||||
\(374\) | 1.32682e11 | + | 2.29812e11i | 0.350663 | + | 0.607366i | ||||
\(375\) | 3.11588e11 | − | 5.39686e11i | 0.813654 | − | 1.40929i | ||||
\(376\) | −4.71394e10 | − | 8.16478e10i | −0.121629 | − | 0.210668i | ||||
\(377\) | −1.08035e11 | + | 1.87122e11i | −0.275441 | + | 0.477077i | ||||
\(378\) | 5.93182e10 | − | 1.02742e11i | 0.149443 | − | 0.258843i | ||||
\(379\) | 3.56475e10 | 0.0887467 | 0.0443734 | − | 0.999015i | \(-0.485871\pi\) | ||||
0.0443734 | + | 0.999015i | \(0.485871\pi\) | |||||||
\(380\) | 1.26405e11 | + | 5.94674e10i | 0.310985 | + | 0.146303i | ||||
\(381\) | 8.23165e11 | 2.00136 | ||||||||
\(382\) | −1.80576e11 | + | 3.12766e11i | −0.433884 | + | 0.751510i | ||||
\(383\) | 1.62743e11 | − | 2.81879e11i | 0.386463 | − | 0.669374i | −0.605508 | − | 0.795839i | \(-0.707030\pi\) |
0.991971 | + | 0.126466i | \(0.0403633\pi\) | |||||||
\(384\) | −2.91843e10 | − | 5.05487e10i | −0.0684950 | − | 0.118637i | ||||
\(385\) | −9.72274e10 | + | 1.68403e11i | −0.225536 | + | 0.390639i | ||||
\(386\) | −2.15443e11 | − | 3.73159e11i | −0.493958 | − | 0.855561i | ||||
\(387\) | −2.04428e9 | −0.00463277 | ||||||||
\(388\) | −2.33803e11 | −0.523730 | ||||||||
\(389\) | −1.32780e11 | − | 2.29981e11i | −0.294007 | − | 0.509236i | 0.680746 | − | 0.732519i | \(-0.261656\pi\) |
−0.974754 | + | 0.223284i | \(0.928322\pi\) | |||||||
\(390\) | −1.17379e11 | − | 2.03307e11i | −0.256922 | − | 0.445001i | ||||
\(391\) | −3.34410e11 | −0.723575 | ||||||||
\(392\) | −8.92438e10 | −0.190893 | ||||||||
\(393\) | −1.78674e11 | − | 3.09473e11i | −0.377829 | − | 0.654420i | ||||
\(394\) | −6.92884e10 | + | 1.20011e11i | −0.144853 | + | 0.250893i | ||||
\(395\) | 1.42963e11 | + | 2.47619e11i | 0.295486 | + | 0.511797i | ||||
\(396\) | 1.65954e11 | − | 2.87442e11i | 0.339126 | − | 0.587383i | ||||
\(397\) | 1.76146e11 | − | 3.05093e11i | 0.355889 | − | 0.616417i | −0.631381 | − | 0.775473i | \(-0.717512\pi\) |
0.987270 | + | 0.159055i | \(0.0508449\pi\) | |||||||
\(398\) | 3.31259e11 | 0.661750 | ||||||||
\(399\) | 4.36997e11 | − | 3.03782e11i | 0.863179 | − | 0.600044i | ||||
\(400\) | −6.75245e10 | −0.131884 | ||||||||
\(401\) | −4.88615e11 | + | 8.46307e11i | −0.943664 | + | 1.63447i | −0.185260 | + | 0.982690i | \(0.559313\pi\) |
−0.758404 | + | 0.651785i | \(0.774021\pi\) | |||||||
\(402\) | 3.32886e11 | − | 5.76575e11i | 0.635738 | − | 1.10113i | ||||
\(403\) | −1.03696e11 | − | 1.79606e11i | −0.195834 | − | 0.339195i | ||||
\(404\) | −1.04510e11 | + | 1.81017e11i | −0.195183 | + | 0.338067i | ||||
\(405\) | 8.11780e10 | + | 1.40604e11i | 0.149931 | + | 0.259688i | ||||
\(406\) | −2.12059e11 | −0.387337 | ||||||||
\(407\) | −6.31720e11 | −1.14117 | ||||||||
\(408\) | −1.57209e11 | − | 2.72294e11i | −0.280871 | − | 0.486482i | ||||
\(409\) | −5.42927e11 | − | 9.40376e11i | −0.959370 | − | 1.66168i | −0.724034 | − | 0.689764i | \(-0.757714\pi\) |
−0.235336 | − | 0.971914i | \(-0.575619\pi\) | |||||||
\(410\) | 2.59496e11 | 0.453527 | ||||||||
\(411\) | −1.17685e12 | −2.03439 | ||||||||
\(412\) | −1.07152e11 | − | 1.85593e11i | −0.183216 | − | 0.317340i | ||||
\(413\) | 1.93282e11 | − | 3.34774e11i | 0.326901 | − | 0.566209i | ||||
\(414\) | 2.09134e11 | + | 3.62232e11i | 0.349884 | + | 0.606017i | ||||
\(415\) | −3.26104e11 | + | 5.64829e11i | −0.539685 | + | 0.934761i | ||||
\(416\) | −3.68283e10 | + | 6.37885e10i | −0.0602923 | + | 0.104429i | ||||
\(417\) | −6.01675e10 | −0.0974428 | ||||||||
\(418\) | 3.50606e11 | − | 2.43726e11i | 0.561728 | − | 0.390489i | ||||
\(419\) | −3.67200e11 | −0.582023 | −0.291011 | − | 0.956720i | \(-0.593992\pi\) | ||||
−0.291011 | + | 0.956720i | \(0.593992\pi\) | |||||||
\(420\) | 1.15200e11 | − | 1.99533e11i | 0.180647 | − | 0.312890i | ||||
\(421\) | 1.31323e11 | − | 2.27458e11i | 0.203738 | − | 0.352885i | −0.745992 | − | 0.665955i | \(-0.768024\pi\) |
0.949730 | + | 0.313070i | \(0.101358\pi\) | |||||||
\(422\) | −4.77639e10 | − | 8.27294e10i | −0.0733151 | − | 0.126985i | ||||
\(423\) | −3.17606e11 | + | 5.50109e11i | −0.482344 | + | 0.835444i | ||||
\(424\) | −1.30987e11 | − | 2.26875e11i | −0.196825 | − | 0.340911i | ||||
\(425\) | −3.63739e11 | −0.540803 | ||||||||
\(426\) | 1.25575e11 | 0.184739 | ||||||||
\(427\) | 3.54279e11 | + | 6.13630e11i | 0.515728 | + | 0.893267i | ||||
\(428\) | −1.55273e11 | − | 2.68941e11i | −0.223666 | − | 0.387400i | ||||
\(429\) | −7.17573e11 | −1.02284 | ||||||||
\(430\) | −1.13853e9 | −0.00160597 | ||||||||
\(431\) | 4.15707e11 | + | 7.20026e11i | 0.580283 | + | 1.00508i | 0.995446 | + | 0.0953319i | \(0.0303912\pi\) |
−0.415163 | + | 0.909747i | \(0.636275\pi\) | |||||||
\(432\) | −5.63889e10 | + | 9.76685e10i | −0.0778963 | + | 0.134920i | ||||
\(433\) | 2.65895e11 | + | 4.60544e11i | 0.363509 | + | 0.629615i | 0.988536 | − | 0.150988i | \(-0.0482454\pi\) |
−0.625027 | + | 0.780603i | \(0.714912\pi\) | |||||||
\(434\) | 1.01771e11 | − | 1.76272e11i | 0.137695 | − | 0.238495i | ||||
\(435\) | −3.21249e11 | + | 5.56419e11i | −0.430170 | + | 0.745076i | ||||
\(436\) | 6.44578e11 | 0.854252 | ||||||||
\(437\) | 4.50771e10 | + | 5.36208e11i | 0.0591275 | + | 0.703342i | ||||
\(438\) | −1.25930e12 | −1.63491 | ||||||||
\(439\) | −3.11690e11 | + | 5.39863e11i | −0.400528 | + | 0.693734i | −0.993790 | − | 0.111275i | \(-0.964506\pi\) |
0.593262 | + | 0.805009i | \(0.297840\pi\) | |||||||
\(440\) | 9.24260e10 | − | 1.60087e11i | 0.117559 | − | 0.203619i | ||||
\(441\) | 3.00644e11 | + | 5.20730e11i | 0.378511 | + | 0.655601i | ||||
\(442\) | −1.98385e11 | + | 3.43614e11i | −0.247235 | + | 0.428223i | ||||
\(443\) | 3.05883e11 | + | 5.29805e11i | 0.377345 | + | 0.653581i | 0.990675 | − | 0.136246i | \(-0.0435037\pi\) |
−0.613330 | + | 0.789827i | \(0.710170\pi\) | |||||||
\(444\) | 7.48495e11 | 0.914041 | ||||||||
\(445\) | 7.50972e11 | 0.907828 | ||||||||
\(446\) | −3.04196e10 | − | 5.26883e10i | −0.0364038 | − | 0.0630533i | ||||
\(447\) | −8.72662e11 | − | 1.51150e12i | −1.03386 | − | 1.79070i | ||||
\(448\) | −7.22893e10 | −0.0847858 | ||||||||
\(449\) | −7.92806e11 | −0.920574 | −0.460287 | − | 0.887770i | \(-0.652253\pi\) | ||||
−0.460287 | + | 0.887770i | \(0.652253\pi\) | |||||||
\(450\) | 2.27476e11 | + | 3.94000e11i | 0.261505 | + | 0.452940i | ||||
\(451\) | 3.96594e11 | − | 6.86921e11i | 0.451390 | − | 0.781830i | ||||
\(452\) | 1.73417e11 | + | 3.00367e11i | 0.195420 | + | 0.338477i | ||||
\(453\) | 2.35900e11 | − | 4.08591e11i | 0.263200 | − | 0.455876i | ||||
\(454\) | 2.47028e10 | − | 4.27864e10i | 0.0272894 | − | 0.0472666i | ||||
\(455\) | −2.90747e11 | −0.318027 | ||||||||
\(456\) | −4.15417e11 | + | 2.88780e11i | −0.449928 | + | 0.312770i | ||||
\(457\) | −1.33507e10 | −0.0143180 | −0.00715898 | − | 0.999974i | \(-0.502279\pi\) | ||||
−0.00715898 | + | 0.999974i | \(0.502279\pi\) | |||||||
\(458\) | 6.26147e11 | − | 1.08452e12i | 0.664939 | − | 1.15171i | ||||
\(459\) | −3.03754e11 | + | 5.26117e11i | −0.319422 | + | 0.553255i | ||||
\(460\) | 1.16475e11 | + | 2.01740e11i | 0.121289 | + | 0.210078i | ||||
\(461\) | 5.63429e11 | − | 9.75887e11i | 0.581012 | − | 1.00634i | −0.414348 | − | 0.910118i | \(-0.635990\pi\) |
0.995360 | − | 0.0962231i | \(-0.0306762\pi\) | |||||||
\(462\) | −3.52126e11 | − | 6.09900e11i | −0.359591 | − | 0.622831i | ||||
\(463\) | 1.61777e12 | 1.63607 | 0.818036 | − | 0.575167i | \(-0.195063\pi\) | ||||
0.818036 | + | 0.575167i | \(0.195063\pi\) | |||||||
\(464\) | 2.01587e11 | 0.201898 | ||||||||
\(465\) | −3.08346e11 | − | 5.34071e11i | −0.305844 | − | 0.529737i | ||||
\(466\) | 4.44236e11 | + | 7.69440e11i | 0.436392 | + | 0.755854i | ||||
\(467\) | −1.97176e12 | −1.91835 | −0.959177 | − | 0.282805i | \(-0.908735\pi\) | ||||
−0.959177 | + | 0.282805i | \(0.908735\pi\) | |||||||
\(468\) | 4.96268e11 | 0.478200 | ||||||||
\(469\) | −4.12278e11 | − | 7.14086e11i | −0.393470 | − | 0.681511i | ||||
\(470\) | −1.76886e11 | + | 3.06376e11i | −0.167207 | + | 0.289610i | ||||
\(471\) | 1.27299e12 | + | 2.20489e12i | 1.19188 | + | 2.06440i | ||||
\(472\) | −1.83737e11 | + | 3.18242e11i | −0.170395 | + | 0.295134i | ||||
\(473\) | −1.74005e9 | + | 3.01385e9i | −0.00159840 | + | 0.00276851i | ||||
\(474\) | −1.03553e12 | −0.942238 | ||||||||
\(475\) | 4.90305e10 | + | 5.83235e11i | 0.0441921 | + | 0.525681i | ||||
\(476\) | −3.89405e11 | −0.347673 | ||||||||
\(477\) | −8.82533e11 | + | 1.52859e12i | −0.780546 | + | 1.35194i | ||||
\(478\) | 1.59180e11 | − | 2.75708e11i | 0.139464 | − | 0.241560i | ||||
\(479\) | −1.09985e11 | − | 1.90499e11i | −0.0954603 | − | 0.165342i | 0.814340 | − | 0.580388i | \(-0.197099\pi\) |
−0.909801 | + | 0.415046i | \(0.863766\pi\) | |||||||
\(480\) | −1.09511e11 | + | 1.89679e11i | −0.0941615 | + | 0.163093i | ||||
\(481\) | −4.72272e11 | − | 8.17998e11i | −0.402290 | − | 0.696786i | ||||
\(482\) | 9.17484e11 | 0.774260 | ||||||||
\(483\) | 8.87493e11 | 0.741998 | ||||||||
\(484\) | 1.93038e10 | + | 3.34352e10i | 0.0159896 | + | 0.0276949i | ||||
\(485\) | 4.38662e11 | + | 7.59785e11i | 0.359991 | + | 0.623523i | ||||
\(486\) | −1.12995e12 | −0.918744 | ||||||||
\(487\) | −2.86848e11 | −0.231085 | −0.115543 | − | 0.993303i | \(-0.536861\pi\) | ||||
−0.115543 | + | 0.993303i | \(0.536861\pi\) | |||||||
\(488\) | −3.36784e11 | − | 5.83327e11i | −0.268821 | − | 0.465611i | ||||
\(489\) | 1.39411e12 | − | 2.41468e12i | 1.10258 | − | 1.90972i | ||||
\(490\) | 1.67439e11 | + | 2.90014e11i | 0.131213 | + | 0.227267i | ||||
\(491\) | 9.25427e11 | − | 1.60289e12i | 0.718580 | − | 1.24462i | −0.242982 | − | 0.970031i | \(-0.578126\pi\) |
0.961562 | − | 0.274587i | \(-0.0885411\pi\) | |||||||
\(492\) | −4.69906e11 | + | 8.13901e11i | −0.361549 | + | 0.626222i | ||||
\(493\) | 1.08590e12 | 0.827902 | ||||||||
\(494\) | 5.77707e11 | + | 2.71783e11i | 0.436452 | + | 0.205329i | ||||
\(495\) | −1.24546e12 | −0.932406 | ||||||||
\(496\) | −9.67451e10 | + | 1.67567e11i | −0.0717731 | + | 0.124315i | ||||
\(497\) | 7.77620e10 | − | 1.34688e11i | 0.0571694 | − | 0.0990203i | ||||
\(498\) | −1.18104e12 | − | 2.04563e12i | −0.860467 | − | 1.49037i | ||||
\(499\) | 8.17468e11 | − | 1.41590e12i | 0.590226 | − | 1.02230i | −0.403976 | − | 0.914770i | \(-0.632372\pi\) |
0.994202 | − | 0.107532i | \(-0.0342947\pi\) | |||||||
\(500\) | 3.66844e11 | + | 6.35392e11i | 0.262492 | + | 0.454649i | ||||
\(501\) | 2.77530e12 | 1.96807 | ||||||||
\(502\) | −1.13433e12 | −0.797210 | ||||||||
\(503\) | −1.27391e12 | − | 2.20647e12i | −0.887322 | − | 1.53689i | −0.843029 | − | 0.537868i | \(-0.819230\pi\) |
−0.0442927 | − | 0.999019i | \(-0.514103\pi\) | |||||||
\(504\) | 2.43528e11 | + | 4.21802e11i | 0.168117 | + | 0.291187i | ||||
\(505\) | 7.84328e11 | 0.536644 | ||||||||
\(506\) | 7.12043e11 | 0.482868 | ||||||||
\(507\) | 6.16466e11 | + | 1.06775e12i | 0.414356 | + | 0.717685i | ||||
\(508\) | −4.84571e11 | + | 8.39301e11i | −0.322828 | + | 0.559154i | ||||
\(509\) | −1.13744e12 | − | 1.97010e12i | −0.751099 | − | 1.30094i | −0.947290 | − | 0.320377i | \(-0.896191\pi\) |
0.196191 | − | 0.980566i | \(-0.437143\pi\) | |||||||
\(510\) | −5.89911e11 | + | 1.02176e12i | −0.386119 | + | 0.668778i | ||||
\(511\) | −7.79817e11 | + | 1.35068e12i | −0.505940 | + | 0.876313i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | 8.84545e11 | + | 4.16134e11i | 0.563886 | + | 0.265280i | ||||
\(514\) | 1.48014e12 | 0.935341 | ||||||||
\(515\) | −4.02079e11 | + | 6.96421e11i | −0.251871 | + | 0.436254i | ||||
\(516\) | 2.06170e9 | − | 3.57097e9i | 0.00128027 | − | 0.00221749i | ||||
\(517\) | 5.40678e11 | + | 9.36481e11i | 0.332837 | + | 0.576490i | ||||
\(518\) | 4.63504e11 | − | 8.02813e11i | 0.282859 | − | 0.489926i | ||||
\(519\) | −1.79566e12 | − | 3.11017e12i | −1.08635 | − | 1.88162i | ||||
\(520\) | 2.76390e11 | 0.165770 | ||||||||
\(521\) | 1.10554e12 | 0.657362 | 0.328681 | − | 0.944441i | \(-0.393396\pi\) | ||||
0.328681 | + | 0.944441i | \(0.393396\pi\) | |||||||
\(522\) | −6.79104e11 | − | 1.17624e12i | −0.400331 | − | 0.693394i | ||||
\(523\) | 2.86541e11 | + | 4.96303e11i | 0.167467 | + | 0.290061i | 0.937529 | − | 0.347908i | \(-0.113108\pi\) |
−0.770062 | + | 0.637969i | \(0.779775\pi\) | |||||||
\(524\) | 4.20720e11 | 0.243782 | ||||||||
\(525\) | 9.65329e11 | 0.554573 | ||||||||
\(526\) | 5.16474e11 | + | 8.94559e11i | 0.294180 | + | 0.509534i | ||||
\(527\) | −5.21143e11 | + | 9.02646e11i | −0.294313 | + | 0.509765i | ||||
\(528\) | 3.34737e11 | + | 5.79782e11i | 0.187435 | + | 0.324647i | ||||
\(529\) | 4.51921e11 | − | 7.82750e11i | 0.250907 | − | 0.434583i | ||||
\(530\) | −4.91515e11 | + | 8.51328e11i | −0.270580 | + | 0.468658i | ||||
\(531\) | 2.47589e12 | 1.35147 | ||||||||
\(532\) | 5.24902e10 | + | 6.24390e11i | 0.0284103 | + | 0.337951i | ||||
\(533\) | 1.18597e12 | 0.636504 | ||||||||
\(534\) | −1.35989e12 | + | 2.35540e12i | −0.723715 | + | 1.25351i | ||||
\(535\) | −5.82647e11 | + | 1.00917e12i | −0.307478 | + | 0.532567i | ||||
\(536\) | 3.91918e11 | + | 6.78823e11i | 0.205095 | + | 0.355234i | ||||
\(537\) | −3.73721e11 | + | 6.47303e11i | −0.193938 | + | 0.335910i | ||||
\(538\) | −6.92319e11 | − | 1.19913e12i | −0.356276 | − | 0.617088i | ||||
\(539\) | 1.02361e12 | 0.522376 | ||||||||
\(540\) | 4.23188e11 | 0.214171 | ||||||||
\(541\) | 8.04688e11 | + | 1.39376e12i | 0.403869 | + | 0.699521i | 0.994189 | − | 0.107648i | \(-0.0343320\pi\) |
−0.590321 | + | 0.807169i | \(0.700999\pi\) | |||||||
\(542\) | 1.28875e12 | + | 2.23218e12i | 0.641463 | + | 1.11105i | ||||
\(543\) | 3.02028e11 | 0.149090 | ||||||||
\(544\) | 3.70175e11 | 0.181223 | ||||||||
\(545\) | −1.20936e12 | − | 2.09467e12i | −0.587179 | − | 1.01702i | ||||
\(546\) | 5.26497e11 | − | 9.11919e11i | 0.253530 | − | 0.439126i | ||||
\(547\) | −5.16254e11 | − | 8.94179e11i | −0.246559 | − | 0.427053i | 0.716010 | − | 0.698090i | \(-0.245967\pi\) |
−0.962569 | + | 0.271038i | \(0.912633\pi\) | |||||||
\(548\) | 6.92776e11 | − | 1.19992e12i | 0.328156 | − | 0.568382i | ||||
\(549\) | −2.26911e12 | + | 3.93022e12i | −1.06606 | + | 1.84646i | ||||
\(550\) | 7.74491e11 | 0.360898 | ||||||||
\(551\) | −1.46375e11 | − | 1.74118e12i | −0.0676526 | − | 0.804752i | ||||
\(552\) | −8.43666e11 | −0.386763 | ||||||||
\(553\) | −6.41251e11 | + | 1.11068e12i | −0.291585 | + | 0.505040i | ||||
\(554\) | 4.15898e11 | − | 7.20357e11i | 0.187583 | − | 0.324903i | ||||
\(555\) | −1.40433e12 | − | 2.43237e12i | −0.628276 | − | 1.08821i | ||||
\(556\) | 3.54187e10 | − | 6.13469e10i | 0.0157179 | − | 0.0272243i | ||||
\(557\) | −1.81828e12 | − | 3.14936e12i | −0.800412 | − | 1.38635i | −0.919345 | − | 0.393452i | \(-0.871281\pi\) |
0.118934 | − | 0.992902i | \(-0.462052\pi\) | |||||||
\(558\) | 1.30366e12 | 0.569259 | ||||||||
\(559\) | −5.20341e9 | −0.00225390 | ||||||||
\(560\) | 1.35629e11 | + | 2.34917e11i | 0.0582784 | + | 0.100941i | ||||
\(561\) | 1.80315e12 | + | 3.12315e12i | 0.768597 | + | 1.33125i | ||||
\(562\) | −2.97668e12 | −1.25869 | ||||||||
\(563\) | −3.81672e12 | −1.60104 | −0.800521 | − | 0.599305i | \(-0.795444\pi\) | ||||
−0.800521 | + | 0.599305i | \(0.795444\pi\) | |||||||
\(564\) | −6.40624e11 | − | 1.10959e12i | −0.266592 | − | 0.461751i | ||||
\(565\) | 6.50731e11 | − | 1.12710e12i | 0.268648 | − | 0.465312i | ||||
\(566\) | −1.06706e12 | − | 1.84820e12i | −0.437032 | − | 0.756962i | ||||
\(567\) | −3.64118e11 | + | 6.30672e11i | −0.147951 | + | 0.256259i | ||||
\(568\) | −7.39219e10 | + | 1.28037e11i | −0.0297993 | + | 0.0516139i | ||||
\(569\) | −1.58469e12 | −0.633782 | −0.316891 | − | 0.948462i | \(-0.602639\pi\) | ||||
−0.316891 | + | 0.948462i | \(0.602639\pi\) | |||||||
\(570\) | 1.71785e12 | + | 8.08162e11i | 0.681629 | + | 0.320673i | ||||
\(571\) | −2.47191e12 | −0.973130 | −0.486565 | − | 0.873644i | \(-0.661750\pi\) | ||||
−0.486565 | + | 0.873644i | \(0.661750\pi\) | |||||||
\(572\) | 4.22412e11 | − | 7.31640e11i | 0.164989 | − | 0.285769i | ||||
\(573\) | −2.45402e12 | + | 4.25049e12i | −0.951005 | + | 1.64719i | ||||
\(574\) | 5.81976e11 | + | 1.00801e12i | 0.223770 | + | 0.387581i | ||||
\(575\) | −4.88003e11 | + | 8.45247e11i | −0.186173 | + | 0.322462i | ||||
\(576\) | −2.31502e11 | − | 4.00973e11i | −0.0876300 | − | 0.151780i | ||||
\(577\) | 4.65508e12 | 1.74838 | 0.874191 | − | 0.485582i | \(-0.161392\pi\) | ||||
0.874191 | + | 0.485582i | \(0.161392\pi\) | |||||||
\(578\) | 9.66411e10 | 0.0360153 | ||||||||
\(579\) | −2.92788e12 | − | 5.07123e12i | −1.08268 | − | 1.87525i | ||||
\(580\) | −3.78218e11 | − | 6.55092e11i | −0.138776 | − | 0.240368i | ||||
\(581\) | −2.92544e12 | −1.06512 | ||||||||
\(582\) | −3.17738e12 | −1.14793 | ||||||||
\(583\) | 1.50239e12 | + | 2.60221e12i | 0.538608 | + | 0.932897i | ||||
\(584\) | 7.41308e11 | − | 1.28398e12i | 0.263719 | − | 0.456774i | ||||
\(585\) | −9.31099e11 | − | 1.61271e12i | −0.328696 | − | 0.569318i | ||||
\(586\) | −3.04200e11 | + | 5.26891e11i | −0.106566 | + | 0.184579i | ||||
\(587\) | −1.43013e12 | + | 2.47706e12i | −0.497169 | + | 0.861122i | −0.999995 | − | 0.00326570i | \(-0.998960\pi\) |
0.502826 | + | 0.864388i | \(0.332294\pi\) | |||||||
\(588\) | −1.21282e12 | −0.418408 | ||||||||
\(589\) | 1.51759e12 | + | 7.13952e11i | 0.519561 | + | 0.244427i | ||||
\(590\) | 1.37891e12 | 0.468493 | ||||||||
\(591\) | −9.41629e11 | + | 1.63095e12i | −0.317494 | + | 0.549916i | ||||
\(592\) | −4.40615e11 | + | 7.63168e11i | −0.147439 | + | 0.255372i | ||||
\(593\) | −9.54072e11 | − | 1.65250e12i | −0.316836 | − | 0.548776i | 0.662990 | − | 0.748628i | \(-0.269287\pi\) |
−0.979826 | + | 0.199852i | \(0.935954\pi\) | |||||||
\(594\) | 6.46768e11 | − | 1.12024e12i | 0.213162 | − | 0.369207i | ||||
\(595\) | 7.30603e11 | + | 1.26544e12i | 0.238977 | + | 0.413919i | ||||
\(596\) | 2.05483e12 | 0.667066 | ||||||||
\(597\) | 4.50181e12 | 1.45045 | ||||||||
\(598\) | 5.32321e11 | + | 9.22007e11i | 0.170223 | + | 0.294835i | ||||
\(599\) | 7.38064e11 | + | 1.27837e12i | 0.234247 | + | 0.405727i | 0.959054 | − | 0.283225i | \(-0.0914043\pi\) |
−0.724807 | + | 0.688952i | \(0.758071\pi\) | |||||||
\(600\) | −9.17658e11 | −0.289068 | ||||||||
\(601\) | 3.26923e12 | 1.02214 | 0.511071 | − | 0.859539i | \(-0.329249\pi\) | ||||
0.511071 | + | 0.859539i | \(0.329249\pi\) | |||||||
\(602\) | −2.55341e9 | − | 4.42263e9i | −0.000792385 | − | 0.00137245i | ||||
\(603\) | 2.64058e12 | − | 4.57363e12i | 0.813340 | − | 1.40875i | ||||
\(604\) | 2.77734e11 | + | 4.81049e11i | 0.0849106 | + | 0.147070i | ||||
\(605\) | 7.24357e10 | − | 1.25462e11i | 0.0219813 | − | 0.0380727i | ||||
\(606\) | −1.42029e12 | + | 2.46002e12i | −0.427810 | + | 0.740988i | ||||
\(607\) | −3.61205e12 | −1.07995 | −0.539977 | − | 0.841680i | \(-0.681567\pi\) | ||||
−0.539977 | + | 0.841680i | \(0.681567\pi\) | |||||||
\(608\) | −4.98981e10 | − | 5.93556e11i | −0.0148087 | − | 0.176155i | ||||
\(609\) | −2.88188e12 | −0.848981 | ||||||||
\(610\) | −1.26375e12 | + | 2.18888e12i | −0.369553 | + | 0.640085i | ||||
\(611\) | −8.08418e11 | + | 1.40022e12i | −0.234666 | + | 0.406454i | ||||
\(612\) | −1.24704e12 | − | 2.15994e12i | −0.359336 | − | 0.622388i | ||||
\(613\) | −1.71676e12 | + | 2.97352e12i | −0.491064 | + | 0.850547i | −0.999947 | − | 0.0102884i | \(-0.996725\pi\) |
0.508884 | + | 0.860835i | \(0.330058\pi\) | |||||||
\(614\) | −6.72519e10 | − | 1.16484e11i | −0.0190962 | − | 0.0330756i | ||||
\(615\) | 3.52655e12 | 0.994060 | ||||||||
\(616\) | 8.29142e11 | 0.232015 | ||||||||
\(617\) | −1.99129e12 | − | 3.44902e12i | −0.553161 | − | 0.958103i | −0.998044 | − | 0.0625145i | \(-0.980088\pi\) |
0.444883 | − | 0.895589i | \(-0.353245\pi\) | |||||||
\(618\) | −1.45620e12 | − | 2.52221e12i | −0.401581 | − | 0.695558i | ||||
\(619\) | 3.59249e11 | 0.0983531 | 0.0491765 | − | 0.998790i | \(-0.484340\pi\) | ||||
0.0491765 | + | 0.998790i | \(0.484340\pi\) | |||||||
\(620\) | 7.26054e11 | 0.197336 | ||||||||
\(621\) | 8.15052e11 | + | 1.41171e12i | 0.219924 | + | 0.380920i | ||||
\(622\) | 3.44285e11 | − | 5.96320e11i | 0.0922278 | − | 0.159743i | ||||
\(623\) | 1.68422e12 | + | 2.91715e12i | 0.447921 | + | 0.775823i | ||||
\(624\) | −5.00497e11 | + | 8.66886e11i | −0.132151 | + | 0.228892i | ||||
\(625\) | 3.70352e11 | − | 6.41469e11i | 0.0970856 | − | 0.168157i | ||||
\(626\) | 2.55677e12 | 0.665437 | ||||||||
\(627\) | 4.76474e12 | − | 3.31224e12i | 1.23122 | − | 0.855890i | ||||
\(628\) | −2.99748e12 | −0.769021 | ||||||||
\(629\) | −2.37349e12 | + | 4.11101e12i | −0.604588 | + | 1.04718i | ||||
\(630\) | 9.13815e11 | − | 1.58277e12i | 0.231114 | − | 0.400301i | ||||
\(631\) | 2.41989e12 | + | 4.19136e12i | 0.607663 | + | 1.05250i | 0.991625 | + | 0.129154i | \(0.0412261\pi\) |
−0.383962 | + | 0.923349i | \(0.625441\pi\) | |||||||
\(632\) | 6.09584e11 | − | 1.05583e12i | 0.151987 | − | 0.263250i | ||||
\(633\) | −6.49111e11 | − | 1.12429e12i | −0.160695 | − | 0.278332i | ||||
\(634\) | 7.19591e10 | 0.0176882 | ||||||||
\(635\) | 3.63661e12 | 0.887596 | ||||||||
\(636\) | −1.78011e12 | − | 3.08324e12i | −0.431409 | − | 0.747222i | ||||
\(637\) | 7.65244e11 | + | 1.32544e12i | 0.184150 | + | 0.318958i | ||||
\(638\) | −2.31215e12 | −0.552489 | ||||||||
\(639\) | 9.96111e11 | 0.236349 | ||||||||
\(640\) | −1.28932e11 | − | 2.23316e11i | −0.0303773 | − | 0.0526151i | ||||
\(641\) | −2.78075e11 | + | 4.81640e11i | −0.0650580 | + | 0.112684i | −0.896720 | − | 0.442599i | \(-0.854057\pi\) |
0.831662 | + | 0.555283i | \(0.187390\pi\) | |||||||
\(642\) | −2.11016e12 | − | 3.65490e12i | −0.490239 | − | 0.849119i | ||||
\(643\) | 1.20375e12 | − | 2.08496e12i | 0.277708 | − | 0.481004i | −0.693107 | − | 0.720835i | \(-0.743759\pi\) |
0.970815 | + | 0.239831i | \(0.0770920\pi\) | |||||||
\(644\) | −5.22439e11 | + | 9.04891e11i | −0.119688 | + | 0.207305i | ||||
\(645\) | −1.54727e10 | −0.00352003 | ||||||||
\(646\) | −2.68789e11 | − | 3.19735e12i | −0.0607248 | − | 0.722343i | ||||
\(647\) | −4.04655e12 | −0.907854 | −0.453927 | − | 0.891039i | \(-0.649977\pi\) | ||||
−0.453927 | + | 0.891039i | \(0.649977\pi\) | |||||||
\(648\) | 3.46137e11 | − | 5.99527e11i | 0.0771189 | − | 0.133574i | ||||
\(649\) | 2.10742e12 | − | 3.65016e12i | 0.466284 | − | 0.807628i | ||||
\(650\) | 5.79007e11 | + | 1.00287e12i | 0.127225 | + | 0.220361i | ||||
\(651\) | 1.38307e12 | − | 2.39554e12i | 0.301806 | − | 0.522744i | ||||
\(652\) | 1.64134e12 | + | 2.84289e12i | 0.355701 | + | 0.616092i | ||||
\(653\) | 1.27645e12 | 0.274723 | 0.137361 | − | 0.990521i | \(-0.456138\pi\) | ||||
0.137361 | + | 0.990521i | \(0.456138\pi\) | |||||||
\(654\) | 8.75981e12 | 1.87238 | ||||||||
\(655\) | −7.89355e11 | − | 1.36720e12i | −0.167566 | − | 0.290233i | ||||
\(656\) | −5.53237e11 | − | 9.58235e11i | −0.116639 | − | 0.202025i | ||||
\(657\) | −9.98925e12 | −2.09165 | ||||||||
\(658\) | −1.58682e12 | −0.329998 | ||||||||
\(659\) | −1.60847e12 | − | 2.78595e12i | −0.332221 | − | 0.575424i | 0.650726 | − | 0.759313i | \(-0.274465\pi\) |
−0.982947 | + | 0.183889i | \(0.941131\pi\) | |||||||
\(660\) | 1.25607e12 | − | 2.17558e12i | 0.257671 | − | 0.446300i | ||||
\(661\) | 3.61128e12 | + | 6.25493e12i | 0.735792 | + | 1.27443i | 0.954375 | + | 0.298611i | \(0.0965233\pi\) |
−0.218583 | + | 0.975818i | \(0.570143\pi\) | |||||||
\(662\) | 2.25269e12 | − | 3.90177e12i | 0.455869 | − | 0.789588i | ||||
\(663\) | −2.69606e12 | + | 4.66971e12i | −0.541899 | + | 0.938597i | ||||
\(664\) | 2.78097e12 | 0.555188 | ||||||||
\(665\) | 1.93059e12 | − | 1.34206e12i | 0.382817 | − | 0.266118i | ||||
\(666\) | 5.93737e12 | 1.16939 | ||||||||
\(667\) | 1.45688e12 | − | 2.52339e12i | 0.285008 | − | 0.493649i | ||||
\(668\) | −1.63373e12 | + | 2.82970e12i | −0.317458 | + | 0.549853i | ||||
\(669\) | −4.13403e11 | − | 7.16034e11i | −0.0797913 | − | 0.138203i | ||||
\(670\) | 1.47064e12 | − | 2.54722e12i | 0.281948 | − | 0.488348i | ||||
\(671\) | 3.86284e12 | + | 6.69063e12i | 0.735622 | + | 1.27414i | ||||
\(672\) | −9.82412e11 | −0.185837 | ||||||||
\(673\) | −3.88039e12 | −0.729135 | −0.364568 | − | 0.931177i | \(-0.618783\pi\) | ||||
−0.364568 | + | 0.931177i | \(0.618783\pi\) | |||||||
\(674\) | 2.83692e12 | + | 4.91369e12i | 0.529515 | + | 0.917146i | ||||
\(675\) | 8.86534e11 | + | 1.53552e12i | 0.164372 | + | 0.284701i | ||||
\(676\) | −1.45158e12 | −0.267350 | ||||||||
\(677\) | 4.52099e12 | 0.827151 | 0.413575 | − | 0.910470i | \(-0.364280\pi\) | ||||
0.413575 | + | 0.910470i | \(0.364280\pi\) | |||||||
\(678\) | 2.35674e12 | + | 4.08199e12i | 0.428329 | + | 0.741887i | ||||
\(679\) | −1.96759e12 | + | 3.40796e12i | −0.355239 | + | 0.615292i | ||||
\(680\) | −6.94524e11 | − | 1.20295e12i | −0.124565 | − | 0.215754i | ||||
\(681\) | 3.35711e11 | − | 5.81468e11i | 0.0598140 | − | 0.103601i | ||||
\(682\) | 1.10964e12 | − | 1.92196e12i | 0.196406 | − | 0.340185i | ||||
\(683\) | 8.33610e11 | 0.146578 | 0.0732891 | − | 0.997311i | \(-0.476650\pi\) | ||||
0.0732891 | + | 0.997311i | \(0.476650\pi\) | |||||||
\(684\) | −3.29526e12 | + | 2.29072e12i | −0.575621 | + | 0.400147i | ||||
\(685\) | −5.19915e12 | −0.902245 | ||||||||
\(686\) | −2.14204e12 | + | 3.71012e12i | −0.369291 | + | 0.639630i | ||||
\(687\) | 8.50934e12 | − | 1.47386e13i | 1.45744 | − | 2.52436i | ||||
\(688\) | 2.42731e9 | + | 4.20423e9i | 0.000413027 | + | 0.000715383i | ||||
\(689\) | −2.24636e12 | + | 3.89080e12i | −0.379745 | + | 0.657738i | ||||
\(690\) | 1.58289e12 | + | 2.74164e12i | 0.265846 | + | 0.460458i | ||||
\(691\) | 3.33044e12 | 0.555712 | 0.277856 | − | 0.960623i | \(-0.410376\pi\) | ||||
0.277856 | + | 0.960623i | \(0.410376\pi\) | |||||||
\(692\) | 4.22819e12 | 0.700934 | ||||||||
\(693\) | −2.79321e12 | − | 4.83798e12i | −0.460048 | − | 0.796827i | ||||
\(694\) | −2.87501e12 | − | 4.97967e12i | −0.470459 | − | 0.814859i | ||||
\(695\) | −2.65810e11 | −0.0432156 | ||||||||
\(696\) | 2.73957e12 | 0.442527 | ||||||||
\(697\) | −2.98016e12 | − | 5.16178e12i | −0.478290 | − | 0.828423i | ||||
\(698\) | 1.53317e12 | − | 2.65553e12i | 0.244479 | − | 0.423449i | ||||
\(699\) | 6.03717e12 | + | 1.04567e13i | 0.956502 | + | 1.65671i | ||||
\(700\) | −5.68258e11 | + | 9.84252e11i | −0.0894550 | + | 0.154941i | ||||
\(701\) | −5.59221e11 | + | 9.68600e11i | −0.0874687 | + | 0.151500i | −0.906441 | − | 0.422334i | \(-0.861211\pi\) |
0.818972 | + | 0.573834i | \(0.194544\pi\) | |||||||
\(702\) | 1.93409e12 | 0.300579 | ||||||||
\(703\) | 6.91171e12 | + | 3.25162e12i | 1.06730 | + | 0.502112i | ||||
\(704\) | −7.88197e11 | −0.120937 | ||||||||
\(705\) | −2.40388e12 | + | 4.16364e12i | −0.366490 | + | 0.634779i | ||||
\(706\) | −3.43136e10 | + | 5.94329e10i | −0.00519810 | + | 0.00900338i | ||||
\(707\) | 1.75903e12 | + | 3.04672e12i | 0.264780 | + | 0.458612i | ||||
\(708\) | −2.49699e12 | + | 4.32491e12i | −0.373480 | + | 0.646886i | ||||
\(709\) | −6.30973e12 | − | 1.09288e13i | −0.937784 | − | 1.62429i | −0.769593 | − | 0.638534i | \(-0.779541\pi\) |
−0.168190 | − | 0.985755i | \(-0.553792\pi\) | |||||||
\(710\) | 5.54770e11 | 0.0819314 | ||||||||
\(711\) | −8.21426e12 | −1.20547 | ||||||||
\(712\) | −1.60105e12 | − | 2.77309e12i | −0.233477 | − | 0.404394i | ||||
\(713\) | 1.39836e12 | + | 2.42204e12i | 0.202636 | + | 0.350977i | ||||
\(714\) | −5.29202e12 | −0.762043 | ||||||||
\(715\) | −3.17012e12 | −0.453627 | ||||||||
\(716\) | −4.39995e11 | − | 7.62094e11i | −0.0625661 | − | 0.108368i | ||||
\(717\) | 2.16326e12 | − | 3.74687e12i | 0.305684 | − | 0.529460i | ||||
\(718\) | 2.84625e12 | + | 4.92984e12i | 0.399680 | + | 0.692266i | ||||
\(719\) | −2.23717e12 | + | 3.87489e12i | −0.312190 | + | 0.540729i | −0.978836 | − | 0.204645i | \(-0.934396\pi\) |
0.666646 | + | 0.745374i | \(0.267729\pi\) | |||||||
\(720\) | −8.68688e11 | + | 1.50461e12i | −0.120467 | + | 0.208655i | ||||
\(721\) | −3.60700e12 | −0.497092 | ||||||||
\(722\) | −5.09054e12 | + | 8.61979e11i | −0.697182 | + | 0.118054i | ||||
\(723\) | 1.24686e13 | 1.69705 | ||||||||
\(724\) | −1.77794e11 | + | 3.07948e11i | −0.0240488 | + | 0.0416538i | ||||
\(725\) | 1.58465e12 | − | 2.74470e12i | 0.213016 | − | 0.368955i | ||||
\(726\) | 2.62339e11 | + | 4.54384e11i | 0.0350467 | + | 0.0607027i | ||||
\(727\) | −4.06953e12 | + | 7.04863e12i | −0.540305 | + | 0.935836i | 0.458581 | + | 0.888653i | \(0.348358\pi\) |
−0.998886 | + | 0.0471834i | \(0.984975\pi\) | |||||||
\(728\) | 6.19864e11 | + | 1.07364e12i | 0.0817909 | + | 0.141666i | ||||
\(729\) | −1.20293e13 | −1.57749 | ||||||||
\(730\) | −5.56337e12 | −0.725079 | ||||||||
\(731\) | 1.30754e10 | + | 2.26472e10i | 0.00169366 | + | 0.00293350i | ||||
\(732\) | −4.57690e12 | − | 7.92742e12i | −0.589212 | − | 1.02054i | ||||
\(733\) | 4.64395e11 | 0.0594183 | 0.0297091 | − | 0.999559i | \(-0.490542\pi\) | ||||
0.0297091 | + | 0.999559i | \(0.490542\pi\) | |||||||
\(734\) | −1.04459e13 | −1.32835 | ||||||||
\(735\) | 2.27550e12 | + | 3.94128e12i | 0.287597 | + | 0.498132i | ||||
\(736\) | 4.96639e11 | − | 8.60205e11i | 0.0623866 | − | 0.108057i | ||||
\(737\) | −4.49521e12 | − | 7.78594e12i | −0.561237 | − | 0.972092i | ||||
\(738\) | −3.72748e12 | + | 6.45619e12i | −0.462553 | + | 0.801166i | ||||
\(739\) | 2.77906e12 | − | 4.81348e12i | 0.342767 | − | 0.593689i | −0.642179 | − | 0.766555i | \(-0.721969\pi\) |
0.984945 | + | 0.172866i | \(0.0553026\pi\) | |||||||
\(740\) | 3.30673e12 | 0.405375 | ||||||||
\(741\) | 7.85104e12 | + | 3.69352e12i | 0.956633 | + | 0.450048i | ||||
\(742\) | −4.40931e12 | −0.534015 | ||||||||
\(743\) | −1.20360e11 | + | 2.08469e11i | −0.0144888 | + | 0.0250953i | −0.873179 | − | 0.487400i | \(-0.837945\pi\) |
0.858690 | + | 0.512495i | \(0.171279\pi\) | |||||||
\(744\) | −1.31477e12 | + | 2.27724e12i | −0.157315 | + | 0.272478i | ||||
\(745\) | −3.85528e12 | − | 6.67755e12i | −0.458515 | − | 0.794171i | ||||
\(746\) | −1.49500e12 | + | 2.58941e12i | −0.176732 | + | 0.306109i | ||||
\(747\) | −9.36852e12 | − | 1.62268e13i | −1.10085 | − | 1.90673i | ||||
\(748\) | −4.24583e12 | −0.495913 | ||||||||
\(749\) | −5.22685e12 | −0.606837 | ||||||||
\(750\) | 4.98540e12 | + | 8.63497e12i | 0.575340 | + | 0.996518i | ||||
\(751\) | −2.49826e12 | − | 4.32712e12i | −0.286588 | − | 0.496386i | 0.686405 | − | 0.727220i | \(-0.259188\pi\) |
−0.972993 | + | 0.230834i | \(0.925855\pi\) | |||||||
\(752\) | 1.50846e12 | 0.172010 | ||||||||
\(753\) | −1.54156e13 | −1.74736 | ||||||||
\(754\) | −1.72856e12 | − | 2.99395e12i | −0.194766 | − | 0.337345i | ||||
\(755\) | 1.04217e12 | − | 1.80509e12i | 0.116728 | − | 0.202180i | ||||
\(756\) | 9.49091e11 | + | 1.64387e12i | 0.105672 | + | 0.183029i | ||||
\(757\) | 5.30213e12 | − | 9.18355e12i | 0.586839 | − | 1.01643i | −0.407805 | − | 0.913069i | \(-0.633706\pi\) |
0.994643 | − | 0.103365i | \(-0.0329610\pi\) | |||||||
\(758\) | −2.85180e11 | + | 4.93946e11i | −0.0313767 | + | 0.0543461i | ||||
\(759\) | 9.67666e12 | 1.05837 | ||||||||
\(760\) | −1.83525e12 | + | 1.27578e12i | −0.199542 | + | 0.138713i | ||||
\(761\) | −3.97220e12 | −0.429339 | −0.214669 | − | 0.976687i | \(-0.568867\pi\) | ||||
−0.214669 | + | 0.976687i | \(0.568867\pi\) | |||||||
\(762\) | −6.58532e12 | + | 1.14061e13i | −0.707586 | + | 1.22558i | ||||
\(763\) | 5.42450e12 | − | 9.39550e12i | 0.579427 | − | 1.00360i | ||||
\(764\) | −2.88921e12 | − | 5.00426e12i | −0.306802 | − | 0.531398i | ||||
\(765\) | −4.67942e12 | + | 8.10499e12i | −0.493987 | + | 0.855610i | ||||
\(766\) | 2.60389e12 | + | 4.51007e12i | 0.273271 | + | 0.473319i | ||||
\(767\) | 6.30201e12 | 0.657507 | ||||||||
\(768\) | 9.33898e11 | 0.0968665 | ||||||||
\(769\) | −3.14108e12 | − | 5.44051e12i | −0.323900 | − | 0.561011i | 0.657389 | − | 0.753551i | \(-0.271661\pi\) |
−0.981289 | + | 0.192540i | \(0.938327\pi\) | |||||||
\(770\) | −1.55564e12 | − | 2.69444e12i | −0.159478 | − | 0.276224i | ||||
\(771\) | 2.01152e13 | 2.05012 | ||||||||
\(772\) | 6.89419e12 | 0.698562 | ||||||||
\(773\) | 4.18432e12 | + | 7.24745e12i | 0.421519 | + | 0.730092i | 0.996088 | − | 0.0883639i | \(-0.0281638\pi\) |
−0.574570 | + | 0.818456i | \(0.694831\pi\) | |||||||
\(774\) | 1.63542e10 | − | 2.83264e10i | 0.00163793 | − | 0.00283698i | ||||
\(775\) | 1.52101e12 | + | 2.63446e12i | 0.151451 | + | 0.262321i | ||||
\(776\) | 1.87042e12 | − | 3.23967e12i | 0.185167 | − | 0.320718i | ||||
\(777\) | 6.29902e12 | − | 1.09102e13i | 0.619981 | − | 1.07384i | ||||
\(778\) | 4.24895e12 | 0.415789 | ||||||||
\(779\) | −7.87492e12 | + | 5.47431e12i | −0.766175 | + | 0.532611i | ||||
\(780\) | 3.75613e12 | 0.363342 | ||||||||
\(781\) | 8.47868e11 | − | 1.46855e12i | 0.0815452 | − | 0.141240i | ||||
\(782\) | 2.67528e12 | − | 4.63372e12i | 0.255822 | − | 0.443097i | ||||
\(783\) | −2.64665e12 | − | 4.58413e12i | −0.251633 | − | 0.435842i | ||||
\(784\) | 7.13950e11 | − | 1.23660e12i | 0.0674910 | − | 0.116898i | ||||
\(785\) | 5.62389e12 | + | 9.74086e12i | 0.528595 | + | 0.915553i | ||||
\(786\) | 5.71758e12 | 0.534332 | ||||||||
\(787\) | −1.42938e13 | −1.32819 | −0.664096 | − | 0.747647i | \(-0.731183\pi\) | ||||
−0.664096 | + | 0.747647i | \(0.731183\pi\) | |||||||
\(788\) | −1.10861e12 | − | 1.92018e12i | −0.102426 | − | 0.177408i | ||||
\(789\) | 7.01888e12 | + | 1.21571e13i | 0.644795 | + | 1.11682i | ||||
\(790\) | −4.57482e12 | −0.417880 | ||||||||
\(791\) | 5.83762e12 | 0.530202 | ||||||||
\(792\) | 2.65527e12 | + | 4.59906e12i | 0.239798 | + | 0.415342i | ||||
\(793\) | −5.77569e12 | + | 1.00038e13i | −0.518650 | + | 0.898328i | ||||
\(794\) | 2.81833e12 | + | 4.88149e12i | 0.251651 | + | 0.435873i | ||||
\(795\) | −6.67968e12 | + | 1.15696e13i | −0.593067 | + | 1.02722i | ||||
\(796\) | −2.65007e12 | + | 4.59006e12i | −0.233964 | + | 0.405238i | ||||
\(797\) | 4.32984e12 | 0.380110 | 0.190055 | − | 0.981773i | \(-0.439133\pi\) | ||||
0.190055 | + | 0.981773i | \(0.439133\pi\) | |||||||
\(798\) | 7.13342e11 | + | 8.48546e12i | 0.0622709 | + | 0.740734i | ||||
\(799\) | 8.12572e12 | 0.705344 | ||||||||
\(800\) | 5.40196e11 | − | 9.35647e11i | 0.0466280 | − | 0.0807620i | ||||
\(801\) | −1.07872e13 | + | 1.86840e13i | −0.925895 | + | 1.60370i | ||||
\(802\) | −7.81785e12 | − | 1.35409e13i | −0.667271 | − | 1.15575i | ||||
\(803\) | −8.50263e12 | + | 1.47270e13i | −0.721661 | + | 1.24995i | ||||
\(804\) | 5.32617e12 | + | 9.22520e12i | 0.449534 | + | 0.778616i | ||||
\(805\) | 3.92080e12 | 0.329074 | ||||||||
\(806\) | 3.31827e12 | 0.276951 | ||||||||
\(807\) | −9.40862e12 | − | 1.62962e13i | −0.780899 | − | 1.35256i | ||||
\(808\) | −1.67216e12 | − | 2.89627e12i | −0.138015 | − | 0.239049i | ||||
\(809\) | 2.27169e13 | 1.86458 | 0.932289 | − | 0.361715i | \(-0.117809\pi\) | ||||
0.932289 | + | 0.361715i | \(0.117809\pi\) | |||||||
\(810\) | −2.59769e12 | −0.212034 | ||||||||
\(811\) | −5.11572e12 | − | 8.86069e12i | −0.415253 | − | 0.719240i | 0.580202 | − | 0.814473i | \(-0.302974\pi\) |
−0.995455 | + | 0.0952331i | \(0.969640\pi\) | |||||||
\(812\) | 1.69647e12 | − | 2.93837e12i | 0.136944 | − | 0.237195i | ||||
\(813\) | 1.75141e13 | + | 3.03353e13i | 1.40598 | + | 2.43523i | ||||
\(814\) | 5.05376e12 | − | 8.75336e12i | 0.403464 | − | 0.698820i | ||||
\(815\) | 6.15898e12 | − | 1.06677e13i | 0.488989 | − | 0.846955i | ||||
\(816\) | 5.03068e12 | 0.397211 | ||||||||
\(817\) | 3.45511e10 | − | 2.40184e10i | 0.00271308 | − | 0.00188601i | ||||
\(818\) | 1.73737e13 | 1.35675 | ||||||||
\(819\) | 4.17639e12 | − | 7.23371e12i | 0.324357 | − | 0.561802i | ||||
\(820\) | −2.07597e12 | + | 3.59568e12i | −0.160346 | + | 0.277728i | ||||
\(821\) | −3.94865e12 | − | 6.83926e12i | −0.303322 | − | 0.525370i | 0.673564 | − | 0.739129i | \(-0.264763\pi\) |
−0.976886 | + | 0.213759i | \(0.931429\pi\) | |||||||
\(822\) | 9.41482e12 | − | 1.63069e13i | 0.719265 | − | 1.24580i | ||||
\(823\) | −4.38756e12 | − | 7.59947e12i | −0.333368 | − | 0.577410i | 0.649802 | − | 0.760103i | \(-0.274852\pi\) |
−0.983170 | + | 0.182693i | \(0.941518\pi\) | |||||||
\(824\) | 3.42887e12 | 0.259107 | ||||||||
\(825\) | 1.05253e13 | 0.791030 | ||||||||
\(826\) | 3.09251e12 | + | 5.35639e12i | 0.231154 | + | 0.400370i | ||||
\(827\) | −7.66148e12 | − | 1.32701e13i | −0.569558 | − | 0.986503i | −0.996610 | − | 0.0822759i | \(-0.973781\pi\) |
0.427052 | − | 0.904227i | \(-0.359552\pi\) | |||||||
\(828\) | −6.69230e12 | −0.494811 | ||||||||
\(829\) | −9.08452e12 | −0.668047 | −0.334023 | − | 0.942565i | \(-0.608406\pi\) | ||||
−0.334023 | + | 0.942565i | \(0.608406\pi\) | |||||||
\(830\) | −5.21767e12 | − | 9.03727e12i | −0.381615 | − | 0.660976i | ||||
\(831\) | 5.65206e12 | − | 9.78965e12i | 0.411152 | − | 0.712136i | ||||
\(832\) | −5.89253e11 | − | 1.02062e12i | −0.0426331 | − | 0.0738427i | ||||
\(833\) | 3.84588e12 | − | 6.66126e12i | 0.276754 | − | 0.479351i | ||||
\(834\) | 4.81340e11 | − | 8.33705e11i | 0.0344512 | − | 0.0596713i | ||||
\(835\) | 1.22608e13 | 0.872832 | ||||||||
\(836\) | 5.72320e11 | + | 6.80795e12i | 0.0405239 | + | 0.482046i | ||||
\(837\) | 5.08070e12 | 0.357815 | ||||||||
\(838\) | 2.93760e12 | − | 5.08808e12i | 0.205776 | − | 0.356415i | ||||
\(839\) | −1.49623e12 | + | 2.59154e12i | −0.104248 | + | 0.180563i | −0.913431 | − | 0.406994i | \(-0.866577\pi\) |
0.809183 | + | 0.587557i | \(0.199910\pi\) | |||||||
\(840\) | 1.84320e12 | + | 3.19252e12i | 0.127737 | + | 0.221247i | ||||
\(841\) | 2.52277e12 | − | 4.36957e12i | 0.173899 | − | 0.301201i | ||||
\(842\) | 2.10117e12 | + | 3.63934e12i | 0.144065 | + | 0.249527i | ||||
\(843\) | −4.04531e13 | −2.75884 | ||||||||
\(844\) | 1.52844e12 | 0.103683 | ||||||||
\(845\) | 2.72345e12 | + | 4.71715e12i | 0.183766 | + | 0.318291i | ||||
\(846\) | −5.08169e12 | − | 8.80175e12i | −0.341068 | − | 0.590748i | ||||
\(847\) | 6.49811e11 | 0.0433822 | ||||||||
\(848\) | 4.19157e12 | 0.278353 | ||||||||
\(849\) | −1.45013e13 | − | 2.51170e13i | −0.957905 | − | 1.65914i | ||||
\(850\) | 2.90991e12 | − | 5.04011e12i | 0.191203 | − | 0.331173i | ||||
\(851\) | 6.36870e12 | + | 1.10309e13i | 0.416263 | + | 0.720989i | ||||
\(852\) | −1.00460e12 | + | 1.74002e12i | −0.0653153 | + | 0.113129i | ||||
\(853\) | 5.40185e12 | − | 9.35629e12i | 0.349359 | − | 0.605108i | −0.636777 | − | 0.771048i | \(-0.719733\pi\) |
0.986136 | + | 0.165940i | \(0.0530659\pi\) | |||||||
\(854\) | −1.13369e13 | −0.729349 | ||||||||
\(855\) | 1.36267e13 | + | 6.41067e12i | 0.872052 | + | 0.410257i | ||||
\(856\) | 4.96874e12 | 0.316311 | ||||||||
\(857\) | −8.06764e11 | + | 1.39736e12i | −0.0510896 | + | 0.0884898i | −0.890439 | − | 0.455102i | \(-0.849603\pi\) |
0.839350 | + | 0.543592i | \(0.182936\pi\) | |||||||
\(858\) | 5.74058e12 | − | 9.94298e12i | 0.361629 | − | 0.626360i | ||||
\(859\) | 2.69734e12 | + | 4.67194e12i | 0.169031 | + | 0.292771i | 0.938080 | − | 0.346420i | \(-0.112603\pi\) |
−0.769048 | + | 0.639191i | \(0.779269\pi\) | |||||||
\(860\) | 9.10827e9 | − | 1.57760e10i | 0.000567797 | − | 0.000983453i | ||||
\(861\) | 7.90906e12 | + | 1.36989e13i | 0.490468 | + | 0.849516i | ||||
\(862\) | −1.33026e13 | −0.820644 | ||||||||
\(863\) | −2.95296e13 | −1.81221 | −0.906107 | − | 0.423049i | \(-0.860960\pi\) | ||||
−0.906107 | + | 0.423049i | \(0.860960\pi\) | |||||||
\(864\) | −9.02223e11 | − | 1.56270e12i | −0.0550810 | − | 0.0954031i | ||||
\(865\) | −7.93294e12 | − | 1.37403e13i | −0.481795 | − | 0.834493i | ||||
\(866\) | −8.50864e12 | −0.514079 | ||||||||
\(867\) | 1.31335e12 | 0.0789397 | ||||||||
\(868\) | 1.62833e12 | + | 2.82036e12i | 0.0973654 | + | 0.168642i | ||||
\(869\) | −6.99179e12 | + | 1.21101e13i | −0.415910 | + | 0.720378i | ||||
\(870\) | −5.13998e12 | − | 8.90270e12i | −0.304176 | − | 0.526848i | ||||
\(871\) | 6.72121e12 | − | 1.16415e13i | 0.395700 | − | 0.685373i | ||||
\(872\) | −5.15662e12 | + | 8.93153e12i | −0.302024 | + | 0.523120i | ||||
\(873\) | −2.52043e13 | −1.46862 | ||||||||
\(874\) | −7.79053e12 | − | 3.66506e12i | −0.451612 | − | 0.212461i | ||||
\(875\) | 1.23488e13 | 0.712179 | ||||||||
\(876\) | 1.00744e13 | − | 1.74493e13i | 0.578029 | − | 1.00118i | ||||
\(877\) | −5.04700e12 | + | 8.74167e12i | −0.288095 | + | 0.498995i | −0.973355 | − | 0.229303i | \(-0.926355\pi\) |
0.685260 | + | 0.728298i | \(0.259689\pi\) | |||||||
\(878\) | −4.98704e12 | − | 8.63780e12i | −0.283216 | − | 0.490544i | ||||
\(879\) | −4.13408e12 | + | 7.16044e12i | −0.233577 | + | 0.404567i | ||||
\(880\) | 1.47882e12 | + | 2.56138e12i | 0.0831270 | + | 0.143980i | ||||
\(881\) | 1.91406e13 | 1.07045 | 0.535223 | − | 0.844711i | \(-0.320227\pi\) | ||||
0.535223 | + | 0.844711i | \(0.320227\pi\) | |||||||
\(882\) | −9.62060e12 | −0.535296 | ||||||||
\(883\) | 1.10949e13 | + | 1.92170e13i | 0.614188 | + | 1.06380i | 0.990526 | + | 0.137323i | \(0.0438497\pi\) |
−0.376338 | + | 0.926482i | \(0.622817\pi\) | |||||||
\(884\) | −3.17417e12 | − | 5.49782e12i | −0.174821 | − | 0.302800i | ||||
\(885\) | 1.87394e13 | 1.02686 | ||||||||
\(886\) | −9.78826e12 | −0.533647 | ||||||||
\(887\) | 7.12903e12 | + | 1.23478e13i | 0.386700 | + | 0.669784i | 0.992003 | − | 0.126211i | \(-0.0402815\pi\) |
−0.605303 | + | 0.795995i | \(0.706948\pi\) | |||||||
\(888\) | −5.98796e12 | + | 1.03715e13i | −0.323162 | + | 0.559734i | ||||
\(889\) | 8.15589e12 | + | 1.41264e13i | 0.437939 | + | 0.758532i | ||||
\(890\) | −6.00777e12 | + | 1.04058e13i | −0.320966 | + | 0.555929i | ||||
\(891\) | −3.97012e12 | + | 6.87644e12i | −0.211034 | + | 0.365522i | ||||
\(892\) | 9.73428e11 | 0.0514828 | ||||||||
\(893\) | −1.09531e12 | − | 1.30291e13i | −0.0576377 | − | 0.685621i | ||||
\(894\) | 2.79252e13 | 1.46210 | ||||||||
\(895\) | −1.65104e12 | + | 2.85968e12i | −0.0860110 | + | 0.148975i | ||||
\(896\) | 5.78314e11 | − | 1.00167e12i | 0.0299763 | − | 0.0519205i | ||||
\(897\) | 7.23424e12 | + | 1.25301e13i | 0.373101 | + | 0.646231i | ||||
\(898\) | 6.34245e12 | − | 1.09854e13i | 0.325472 | − | 0.563734i | ||||
\(899\) | −4.54079e12 | − | 7.86488e12i | −0.231853 | − | 0.401581i | ||||
\(900\) | −7.27924e12 | −0.369824 | ||||||||
\(901\) | 2.25790e13 | 1.14141 | ||||||||
\(902\) | 6.34550e12 | + | 1.09907e13i | 0.319181 | + | 0.552837i | ||||
\(903\) | −3.47008e10 | − | 6.01036e10i | −0.00173678 | − | 0.00300819i | ||||
\(904\) | −5.54934e12 | −0.276365 | ||||||||
\(905\) | 1.33431e12 | 0.0661209 | ||||||||
\(906\) | 3.77440e12 | + | 6.53745e12i | 0.186110 | + | 0.322353i | ||||
\(907\) | −3.55937e12 | + | 6.16501e12i | −0.174639 | + | 0.302483i | −0.940036 | − | 0.341075i | \(-0.889209\pi\) |
0.765398 | + | 0.643558i | \(0.222542\pi\) | |||||||
\(908\) | 3.95244e11 | + | 6.84583e11i | 0.0192965 | + | 0.0334226i | ||||
\(909\) | −1.12663e13 | + | 1.95138e13i | −0.547324 | + | 0.947994i | ||||
\(910\) | 2.32598e12 | − | 4.02871e12i | 0.112440 | − | 0.194751i | ||||
\(911\) | 1.45744e13 | 0.701065 | 0.350532 | − | 0.936551i | \(-0.386001\pi\) | ||||
0.350532 | + | 0.936551i | \(0.386001\pi\) | |||||||
\(912\) | −6.78116e11 | − | 8.06643e12i | −0.0324584 | − | 0.386104i | ||||
\(913\) | −3.18971e13 | −1.51926 | ||||||||
\(914\) | 1.06806e11 | − | 1.84993e11i | 0.00506217 | − | 0.00876793i | ||||
\(915\) | −1.71744e13 | + | 2.97469e13i | −0.810002 | + | 1.40296i | ||||
\(916\) | 1.00184e13 | + | 1.73523e13i | 0.470183 | + | 0.814380i | ||||
\(917\) | 3.54060e12 | − | 6.13250e12i | 0.165354 | − | 0.286402i | ||||
\(918\) | −4.86006e12 | − | 8.41787e12i | −0.225865 | − | 0.391210i | ||||
\(919\) | −3.23498e13 | −1.49607 | −0.748036 | − | 0.663658i | \(-0.769003\pi\) | ||||
−0.748036 | + | 0.663658i | \(0.769003\pi\) | |||||||
\(920\) | −3.72719e12 | −0.171528 | ||||||||
\(921\) | −9.13954e11 | − | 1.58301e12i | −0.0418558 | − | 0.0724964i | ||||
\(922\) | 9.01486e12 | + | 1.56142e13i | 0.410837 | + | 0.711591i | ||||
\(923\) | 2.53545e12 | 0.114987 | ||||||||
\(924\) | 1.12680e13 | 0.508539 | ||||||||
\(925\) | 6.92726e12 | + | 1.19984e13i | 0.311117 | + | 0.538870i | ||||
\(926\) | −1.29422e13 | + | 2.24165e13i | −0.578439 | + | 1.00189i | ||||
\(927\) | −1.15512e13 | − | 2.00072e13i | −0.513768 | − | 0.889872i | ||||
\(928\) | −1.61269e12 | + | 2.79327e12i | −0.0713816 | + | 0.123637i | ||||
\(929\) | 1.34302e12 | − | 2.32618e12i | 0.0591577 | − | 0.102464i | −0.834930 | − | 0.550356i | \(-0.814492\pi\) |
0.894088 | + | 0.447892i | \(0.147825\pi\) | |||||||
\(930\) | 9.86707e12 | 0.432529 | ||||||||
\(931\) | −1.11994e13 | − | 5.26875e12i | −0.488563 | − | 0.229844i | ||||
\(932\) | −1.42156e13 | −0.617152 | ||||||||
\(933\) | 4.67884e12 | − | 8.10399e12i | 0.202149 | − | 0.350132i | ||||
\(934\) | 1.57741e13 | − | 2.73216e13i | 0.678241 | − | 1.17475i | ||||
\(935\) | 7.96603e12 | + | 1.37976e13i | 0.340871 | + | 0.590406i | ||||
\(936\) | −3.97014e12 | + | 6.87649e12i | −0.169069 | + | 0.292837i | ||||
\(937\) | −6.55490e12 | − | 1.13534e13i | −0.277804 | − | 0.481170i | 0.693035 | − | 0.720904i | \(-0.256273\pi\) |
−0.970839 | + | 0.239734i | \(0.922940\pi\) | |||||||
\(938\) | 1.31929e13 | 0.556451 | ||||||||
\(939\) | 3.47465e13 | 1.45853 | ||||||||
\(940\) | −2.83018e12 | − | 4.90201e12i | −0.118233 | − | 0.204785i | ||||
\(941\) | 3.58877e12 | + | 6.21593e12i | 0.149208 | + | 0.258436i | 0.930935 | − | 0.365185i | \(-0.118994\pi\) |
−0.781727 | + | 0.623621i | \(0.785661\pi\) | |||||||
\(942\) | −4.07358e13 | −1.68557 | ||||||||
\(943\) | −1.59931e13 | −0.658613 | ||||||||
\(944\) | −2.93980e12 | − | 5.09187e12i | −0.120488 | − | 0.208691i | ||||
\(945\) | 3.56138e12 | − | 6.16848e12i | 0.145270 | − | 0.251614i | ||||
\(946\) | −2.78407e10 | − | 4.82216e10i | −0.00113024 | − | 0.00195763i | ||||
\(947\) | −4.38699e12 | + | 7.59849e12i | −0.177252 | + | 0.307010i | −0.940938 | − | 0.338578i | \(-0.890054\pi\) |
0.763686 | + | 0.645588i | \(0.223388\pi\) | |||||||
\(948\) | 8.28425e12 | − | 1.43487e13i | 0.333132 | − | 0.577001i | ||||
\(949\) | −2.54262e13 | −1.01761 | ||||||||
\(950\) | −8.47379e12 | − | 3.98649e12i | −0.337537 | − | 0.158794i | ||||
\(951\) | 9.77925e11 | 0.0387698 | ||||||||
\(952\) | 3.11524e12 | − | 5.39576e12i | 0.122921 | − | 0.212905i | ||||
\(953\) | 1.38810e13 | − | 2.40425e13i | 0.545132 | − | 0.944196i | −0.453467 | − | 0.891273i | \(-0.649813\pi\) |
0.998599 | − | 0.0529226i | \(-0.0168536\pi\) | |||||||
\(954\) | −1.41205e13 | − | 2.44575e13i | −0.551929 | − | 0.955969i | ||||
\(955\) | −1.08415e13 | + | 1.87780e13i | −0.421768 | + | 0.730523i | ||||
\(956\) | 2.54688e12 | + | 4.41133e12i | 0.0986163 | + | 0.170808i | ||||
\(957\) | −3.14222e13 | −1.21097 | ||||||||
\(958\) | 3.51951e12 | 0.135001 | ||||||||
\(959\) | −1.16602e13 | − | 2.01961e13i | −0.445167 | − | 0.771052i | ||||
\(960\) | −1.75218e12 | − | 3.03487e12i | −0.0665823 | − | 0.115324i | ||||
\(961\) | −1.77228e13 | −0.670312 | ||||||||
\(962\) | 1.51127e13 | 0.568924 | ||||||||
\(963\) | −1.67386e13 | − | 2.89922e13i | −0.627194 | − | 1.08633i | ||||
\(964\) | −7.33988e12 | + | 1.27130e13i | −0.273742 | + | 0.474136i | ||||
\(965\) | −1.29349e13 | − | 2.24039e13i | −0.480164 | − | 0.831669i | ||||
\(966\) | −7.09994e12 | + | 1.22975e13i | −0.262336 | + | 0.454379i | ||||
\(967\) | 4.80427e12 | − | 8.32124e12i | 0.176688 | − | 0.306033i | −0.764056 | − | 0.645150i | \(-0.776795\pi\) |
0.940744 | + | 0.339117i | \(0.110128\pi\) | |||||||
\(968\) | −6.17722e11 | −0.0226128 | ||||||||
\(969\) | −3.65285e12 | − | 4.34519e13i | −0.133099 | − | 1.58326i | ||||
\(970\) | −1.40372e13 | −0.509105 | ||||||||
\(971\) | −1.39802e13 | + | 2.42144e13i | −0.504693 | + | 0.874153i | 0.495293 | + | 0.868726i | \(0.335061\pi\) |
−0.999985 | + | 0.00542696i | \(0.998273\pi\) | |||||||
\(972\) | 9.03957e12 | − | 1.56570e13i | 0.324825 | − | 0.562613i | ||||
\(973\) | −5.96138e11 | − | 1.03254e12i | −0.0213225 | − | 0.0369317i | ||||
\(974\) | 2.29479e12 | − | 3.97469e12i | 0.0817009 | − | 0.141510i | ||||
\(975\) | 7.86870e12 | + | 1.36290e13i | 0.278858 | + | 0.482995i | ||||
\(976\) | 1.07771e13 | 0.380170 | ||||||||
\(977\) | −2.22585e13 | −0.781575 | −0.390787 | − | 0.920481i | \(-0.627797\pi\) | ||||
−0.390787 | + | 0.920481i | \(0.627797\pi\) | |||||||
\(978\) | 2.23058e13 | + | 3.86348e13i | 0.779639 | + | 1.35037i | ||||
\(979\) | 1.83636e13 | + | 3.18067e13i | 0.638905 | + | 1.10662i | ||||
\(980\) | −5.35806e12 | −0.185563 | ||||||||
\(981\) | 6.94864e13 | 2.39546 | ||||||||
\(982\) | 1.48068e13 | + | 2.56462e13i | 0.508113 | + | 0.880078i | ||||
\(983\) | 1.55963e13 | − | 2.70137e13i | 0.532760 | − | 0.922768i | −0.466508 | − | 0.884517i | \(-0.654488\pi\) |
0.999268 | − | 0.0382508i | \(-0.0121786\pi\) | |||||||
\(984\) | −7.51849e12 | − | 1.30224e13i | −0.255654 | − | 0.442806i | ||||
\(985\) | −4.15997e12 | + | 7.20528e12i | −0.140808 | + | 0.243886i | ||||
\(986\) | −8.68720e12 | + | 1.50467e13i | −0.292707 | + | 0.506984i | ||||
\(987\) | −2.15649e13 | −0.723303 | ||||||||
\(988\) | −8.38759e12 | + | 5.83069e12i | −0.280047 | + | 0.194677i | ||||
\(989\) | 7.01694e10 | 0.00233219 | ||||||||
\(990\) | 9.96365e12 | − | 1.72576e13i | 0.329655 | − | 0.570980i | ||||
\(991\) | −7.11470e12 | + | 1.23230e13i | −0.234328 | + | 0.405869i | −0.959077 | − | 0.283144i | \(-0.908622\pi\) |
0.724749 | + | 0.689013i | \(0.241956\pi\) | |||||||
\(992\) | −1.54792e12 | − | 2.68108e12i | −0.0507512 | − | 0.0879037i | ||||
\(993\) | 3.06140e13 | − | 5.30250e13i | 0.999191 | − | 1.73065i | ||||
\(994\) | 1.24419e12 | + | 2.15500e12i | 0.0404249 | + | 0.0700180i | ||||
\(995\) | 1.98883e13 | 0.643271 | ||||||||
\(996\) | 3.77934e13 | 1.21688 | ||||||||
\(997\) | 3.07617e12 | + | 5.32808e12i | 0.0986012 | + | 0.170782i | 0.911106 | − | 0.412172i | \(-0.135230\pi\) |
−0.812505 | + | 0.582955i | \(0.801897\pi\) | |||||||
\(998\) | 1.30795e13 | + | 2.26543e13i | 0.417353 | + | 0.722876i | ||||
\(999\) | 2.31395e13 | 0.735037 |
(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.11.1 | yes | 16 | |
19.7 | even | 3 | inner | 38.10.c.b.7.1 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.b.7.1 | ✓ | 16 | 19.7 | even | 3 | inner | |
38.10.c.b.11.1 | yes | 16 | 1.1 | even | 1 | trivial |