Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,11,Mod(7,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 11, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.7");
S:= CuspForms(chi, 11);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 11 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.d (of order \(6\), 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: | \(27.3203618650\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 43.7 |
Dual form | 43.11.d.a.37.31 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 49.1410i | − | 1.53566i | −0.640655 | − | 0.767829i | \(-0.721337\pi\) | ||
0.640655 | − | 0.767829i | \(-0.278663\pi\) | |||||||
\(3\) | −303.612 | + | 175.291i | −1.24943 | + | 0.721360i | −0.970996 | − | 0.239094i | \(-0.923149\pi\) |
−0.278436 | + | 0.960455i | \(0.589816\pi\) | |||||||
\(4\) | −1390.84 | −1.35824 | ||||||||
\(5\) | −4917.98 | + | 2839.40i | −1.57375 | + | 0.908607i | −0.578051 | + | 0.816001i | \(0.696186\pi\) |
−0.995703 | + | 0.0926061i | \(0.970480\pi\) | |||||||
\(6\) | 8613.96 | + | 14919.8i | 1.10776 | + | 1.91870i | ||||
\(7\) | 16455.6 | + | 9500.64i | 0.979092 | + | 0.565279i | 0.901996 | − | 0.431745i | \(-0.142102\pi\) |
0.0770960 | + | 0.997024i | \(0.475435\pi\) | |||||||
\(8\) | 18027.0i | 0.550140i | ||||||||
\(9\) | 31929.0 | − | 55302.7i | 0.540721 | − | 0.936557i | ||||
\(10\) | 139531. | + | 241675.i | 1.39531 | + | 2.41675i | ||||
\(11\) | 81110.3 | 0.503631 | 0.251816 | − | 0.967775i | \(-0.418972\pi\) | ||||
0.251816 | + | 0.967775i | \(0.418972\pi\) | |||||||
\(12\) | 422277. | − | 243801.i | 1.69703 | − | 0.979783i | ||||
\(13\) | −304481. | + | 527377.i | −0.820057 | + | 1.42038i | 0.0855829 | + | 0.996331i | \(0.472725\pi\) |
−0.905639 | + | 0.424049i | \(0.860609\pi\) | |||||||
\(14\) | 466872. | − | 808645.i | 0.868075 | − | 1.50355i | ||||
\(15\) | 995439. | − | 1.72415e6i | 1.31087 | − | 2.27049i | ||||
\(16\) | −538357. | −0.513417 | ||||||||
\(17\) | −1.25742e6 | + | 2.17791e6i | −0.885594 | + | 1.53389i | −0.0405637 | + | 0.999177i | \(0.512915\pi\) |
−0.845031 | + | 0.534718i | \(0.820418\pi\) | |||||||
\(18\) | −2.71763e6 | − | 1.56903e6i | −1.43823 | − | 0.830363i | ||||
\(19\) | −1.81352e6 | + | 1.04704e6i | −0.732411 | + | 0.422858i | −0.819304 | − | 0.573360i | \(-0.805640\pi\) |
0.0868923 | + | 0.996218i | \(0.472306\pi\) | |||||||
\(20\) | 6.84013e6 | − | 3.94915e6i | 2.13754 | − | 1.23411i | ||||
\(21\) | −6.66149e6 | −1.63108 | ||||||||
\(22\) | − | 3.98584e6i | − | 0.773405i | ||||||
\(23\) | −815945. | − | 1.41326e6i | −0.126771 | − | 0.219575i | 0.795653 | − | 0.605753i | \(-0.207128\pi\) |
−0.922424 | + | 0.386179i | \(0.873795\pi\) | |||||||
\(24\) | −3.15996e6 | − | 5.47322e6i | −0.396849 | − | 0.687363i | ||||
\(25\) | 1.12415e7 | − | 1.94709e7i | 1.15113 | − | 1.99382i | ||||
\(26\) | 2.59159e7 | + | 1.49625e7i | 2.18122 | + | 1.25933i | ||||
\(27\) | 1.68598e6i | 0.117499i | ||||||||
\(28\) | −2.28871e7 | − | 1.32139e7i | −1.32985 | − | 0.767787i | ||||
\(29\) | 1.79533e7 | + | 1.03653e7i | 0.875295 | + | 0.505352i | 0.869104 | − | 0.494629i | \(-0.164696\pi\) |
0.00619061 | + | 0.999981i | \(0.498029\pi\) | |||||||
\(30\) | −8.47266e7 | − | 4.89169e7i | −3.48669 | − | 2.01304i | ||||
\(31\) | −1.62288e7 | − | 2.81092e7i | −0.566864 | − | 0.981837i | −0.996874 | − | 0.0790129i | \(-0.974823\pi\) |
0.430010 | − | 0.902824i | \(-0.358510\pi\) | |||||||
\(32\) | 4.49151e7i | 1.33857i | ||||||||
\(33\) | −2.46261e7 | + | 1.42179e7i | −0.629253 | + | 0.363299i | ||||
\(34\) | 1.07025e8 | + | 6.17908e7i | 2.35554 | + | 1.35997i | ||||
\(35\) | −1.07904e8 | −2.05447 | ||||||||
\(36\) | −4.44083e7 | + | 7.69174e7i | −0.734431 | + | 1.27207i | ||||
\(37\) | −7.05691e7 | + | 4.07431e7i | −1.01767 | + | 0.587551i | −0.913428 | − | 0.407001i | \(-0.866575\pi\) |
−0.104241 | + | 0.994552i | \(0.533241\pi\) | |||||||
\(38\) | 5.14525e7 | + | 8.91184e7i | 0.649365 | + | 1.12473i | ||||
\(39\) | − | 2.13491e8i | − | 2.36622i | ||||||
\(40\) | −5.11858e7 | − | 8.86564e7i | −0.499861 | − | 0.865785i | ||||
\(41\) | 5.61284e7 | 0.484466 | 0.242233 | − | 0.970218i | \(-0.422120\pi\) | ||||
0.242233 | + | 0.970218i | \(0.422120\pi\) | |||||||
\(42\) | 3.27353e8i | 2.50478i | ||||||||
\(43\) | −4.18296e7 | − | 1.40932e8i | −0.284539 | − | 0.958665i | ||||
\(44\) | −1.12812e8 | −0.684054 | ||||||||
\(45\) | 3.62637e8i | 1.96521i | ||||||||
\(46\) | −6.94490e7 | + | 4.00964e7i | −0.337191 | + | 0.194678i | ||||
\(47\) | −1.07206e8 | −0.467446 | −0.233723 | − | 0.972303i | \(-0.575091\pi\) | ||||
−0.233723 | + | 0.972303i | \(0.575091\pi\) | |||||||
\(48\) | 1.63452e8 | − | 9.43688e7i | 0.641480 | − | 0.370359i | ||||
\(49\) | 3.92868e7 | + | 6.80467e7i | 0.139081 | + | 0.240895i | ||||
\(50\) | −9.56821e8 | − | 5.52421e8i | −3.06183 | − | 1.76775i | ||||
\(51\) | − | 8.81654e8i | − | 2.55533i | ||||||
\(52\) | 4.23485e8 | − | 7.33498e8i | 1.11384 | − | 1.92922i | ||||
\(53\) | 1.36162e8 | + | 2.35840e8i | 0.325594 | + | 0.563946i | 0.981632 | − | 0.190782i | \(-0.0611023\pi\) |
−0.656038 | + | 0.754728i | \(0.727769\pi\) | |||||||
\(54\) | 8.28507e7 | 0.180438 | ||||||||
\(55\) | −3.98899e8 | + | 2.30304e8i | −0.792591 | + | 0.457603i | ||||
\(56\) | −1.71268e8 | + | 2.96645e8i | −0.310983 | + | 0.538638i | ||||
\(57\) | 3.67072e8 | − | 6.35787e8i | 0.610066 | − | 1.05666i | ||||
\(58\) | 5.09364e8 | − | 8.82244e8i | 0.776047 | − | 1.34415i | ||||
\(59\) | 8.28435e8 | 1.15877 | 0.579387 | − | 0.815053i | \(-0.303292\pi\) | ||||
0.579387 | + | 0.815053i | \(0.303292\pi\) | |||||||
\(60\) | −1.38450e9 | + | 2.39802e9i | −1.78048 | + | 3.08387i | ||||
\(61\) | 2.95660e8 | + | 1.70700e8i | 0.350061 | + | 0.202108i | 0.664712 | − | 0.747100i | \(-0.268554\pi\) |
−0.314651 | + | 0.949207i | \(0.601888\pi\) | |||||||
\(62\) | −1.38131e9 | + | 7.97502e8i | −1.50777 | + | 0.870509i | ||||
\(63\) | 1.05082e9 | − | 6.06693e8i | 1.05883 | − | 0.611317i | ||||
\(64\) | 1.65590e9 | 1.54217 | ||||||||
\(65\) | − | 3.45817e9i | − | 2.98044i | ||||||
\(66\) | 6.98681e8 | + | 1.21015e9i | 0.557903 | + | 0.966317i | ||||
\(67\) | −3.39755e8 | − | 5.88473e8i | −0.251647 | − | 0.435866i | 0.712332 | − | 0.701842i | \(-0.247639\pi\) |
−0.963979 | + | 0.265977i | \(0.914306\pi\) | |||||||
\(68\) | 1.74887e9 | − | 3.02913e9i | 1.20285 | − | 2.08340i | ||||
\(69\) | 4.95461e8 | + | 2.86055e8i | 0.316785 | + | 0.182896i | ||||
\(70\) | 5.30253e9i | 3.15496i | ||||||||
\(71\) | −1.82154e9 | − | 1.05167e9i | −1.00960 | − | 0.582891i | −0.0985230 | − | 0.995135i | \(-0.531412\pi\) |
−0.911074 | + | 0.412244i | \(0.864745\pi\) | |||||||
\(72\) | 9.96942e8 | + | 5.75585e8i | 0.515238 | + | 0.297473i | ||||
\(73\) | −1.47999e8 | − | 8.54472e7i | −0.0713911 | − | 0.0412177i | 0.463880 | − | 0.885898i | \(-0.346457\pi\) |
−0.535271 | + | 0.844681i | \(0.679790\pi\) | |||||||
\(74\) | 2.00216e9 | + | 3.46784e9i | 0.902277 | + | 1.56279i | ||||
\(75\) | 7.88214e9i | 3.32153i | ||||||||
\(76\) | 2.52232e9 | − | 1.45626e9i | 0.994794 | − | 0.574344i | ||||
\(77\) | 1.33472e9 | + | 7.70600e8i | 0.493101 | + | 0.284692i | ||||
\(78\) | −1.04912e10 | −3.63371 | ||||||||
\(79\) | −8.89947e7 | + | 1.54143e8i | −0.0289220 | + | 0.0500944i | −0.880124 | − | 0.474744i | \(-0.842541\pi\) |
0.851202 | + | 0.524838i | \(0.175874\pi\) | |||||||
\(80\) | 2.64763e9 | − | 1.52861e9i | 0.807992 | − | 0.466494i | ||||
\(81\) | 1.58984e9 | + | 2.75369e9i | 0.455962 | + | 0.789750i | ||||
\(82\) | − | 2.75821e9i | − | 0.743974i | ||||||
\(83\) | 1.76371e9 | + | 3.05483e9i | 0.447750 | + | 0.775526i | 0.998239 | − | 0.0593166i | \(-0.0188922\pi\) |
−0.550489 | + | 0.834842i | \(0.685559\pi\) | |||||||
\(84\) | 9.26508e9 | 2.21540 | ||||||||
\(85\) | − | 1.42812e10i | − | 3.21863i | ||||||
\(86\) | −6.92553e9 | + | 2.05555e9i | −1.47218 | + | 0.436954i | ||||
\(87\) | −7.26779e9 | −1.45816 | ||||||||
\(88\) | 1.46218e9i | 0.277068i | ||||||||
\(89\) | 1.94400e9 | − | 1.12237e9i | 0.348134 | − | 0.200995i | −0.315729 | − | 0.948849i | \(-0.602249\pi\) |
0.663863 | + | 0.747854i | \(0.268916\pi\) | |||||||
\(90\) | 1.78204e10 | 3.01789 | ||||||||
\(91\) | −1.00208e10 | + | 5.78554e9i | −1.60582 | + | 0.927121i | ||||
\(92\) | 1.13485e9 | + | 1.96562e9i | 0.172187 | + | 0.298236i | ||||
\(93\) | 9.85454e9 | + | 5.68952e9i | 1.41652 | + | 0.817826i | ||||
\(94\) | 5.26824e9i | 0.717837i | ||||||||
\(95\) | 5.94591e9 | − | 1.02986e10i | 0.768423 | − | 1.33095i | ||||
\(96\) | −7.87318e9 | − | 1.36368e10i | −0.965593 | − | 1.67246i | ||||
\(97\) | −1.37058e10 | −1.59604 | −0.798022 | − | 0.602629i | \(-0.794120\pi\) | ||||
−0.798022 | + | 0.602629i | \(0.794120\pi\) | |||||||
\(98\) | 3.34389e9 | − | 1.93059e9i | 0.369932 | − | 0.213580i | ||||
\(99\) | 2.58977e9 | − | 4.48562e9i | 0.272324 | − | 0.471679i | ||||
\(100\) | −1.56352e10 | + | 2.70810e10i | −1.56352 | + | 2.70810i | ||||
\(101\) | 3.67510e7 | − | 6.36545e7i | 0.00349673 | − | 0.00605651i | −0.864272 | − | 0.503025i | \(-0.832220\pi\) |
0.867768 | + | 0.496969i | \(0.165554\pi\) | |||||||
\(102\) | −4.33254e10 | −3.92411 | ||||||||
\(103\) | 1.03982e10 | − | 1.80101e10i | 0.896954 | − | 1.55357i | 0.0655857 | − | 0.997847i | \(-0.479108\pi\) |
0.831368 | − | 0.555722i | \(-0.187558\pi\) | |||||||
\(104\) | −9.50703e9 | − | 5.48888e9i | −0.781408 | − | 0.451146i | ||||
\(105\) | 3.27611e10 | − | 1.89146e10i | 2.56692 | − | 1.48201i | ||||
\(106\) | 1.15894e10 | − | 6.69115e9i | 0.866028 | − | 0.500002i | ||||
\(107\) | 1.02420e10 | 0.730238 | 0.365119 | − | 0.930961i | \(-0.381028\pi\) | ||||
0.365119 | + | 0.930961i | \(0.381028\pi\) | |||||||
\(108\) | − | 2.34493e9i | − | 0.159592i | ||||||
\(109\) | 8.31906e9 | + | 1.44090e10i | 0.540682 | + | 0.936488i | 0.998865 | + | 0.0476303i | \(0.0151669\pi\) |
−0.458184 | + | 0.888858i | \(0.651500\pi\) | |||||||
\(110\) | 1.13174e10 | + | 1.96023e10i | 0.702721 | + | 1.21715i | ||||
\(111\) | 1.42838e10 | − | 2.47402e10i | 0.847672 | − | 1.46821i | ||||
\(112\) | −8.85898e9 | − | 5.11473e9i | −0.502682 | − | 0.290224i | ||||
\(113\) | 6.05004e9i | 0.328372i | 0.986429 | + | 0.164186i | \(0.0524997\pi\) | ||||
−0.986429 | + | 0.164186i | \(0.947500\pi\) | |||||||
\(114\) | −3.12432e10 | − | 1.80383e10i | −1.62268 | − | 0.936852i | ||||
\(115\) | 8.02560e9 | + | 4.63358e9i | 0.399014 | + | 0.230371i | ||||
\(116\) | −2.49702e10 | − | 1.44166e10i | −1.18886 | − | 0.686391i | ||||
\(117\) | 1.94436e10 | + | 3.36773e10i | 0.886844 | + | 1.53606i | ||||
\(118\) | − | 4.07102e10i | − | 1.77948i | ||||||
\(119\) | −4.13831e10 | + | 2.38926e10i | −1.73416 | + | 1.00122i | ||||
\(120\) | 3.10813e10 | + | 1.79448e10i | 1.24909 | + | 0.721160i | ||||
\(121\) | −1.93585e10 | −0.746356 | ||||||||
\(122\) | 8.38835e9 | − | 1.45291e10i | 0.310368 | − | 0.537574i | ||||
\(123\) | −1.70413e10 | + | 9.83878e9i | −0.605308 | + | 0.349475i | ||||
\(124\) | 2.25717e10 | + | 3.90954e10i | 0.769940 | + | 1.33357i | ||||
\(125\) | 7.22198e10i | 2.36650i | ||||||||
\(126\) | −2.98135e10 | − | 5.16385e10i | −0.938773 | − | 1.62600i | ||||
\(127\) | 1.54263e10 | 0.466921 | 0.233460 | − | 0.972366i | \(-0.424995\pi\) | ||||
0.233460 | + | 0.972366i | \(0.424995\pi\) | |||||||
\(128\) | − | 3.53794e10i | − | 1.02968i | ||||||
\(129\) | 3.74040e10 | + | 3.54563e10i | 1.04705 | + | 0.992532i | ||||
\(130\) | −1.69938e11 | −4.57693 | ||||||||
\(131\) | − | 2.18018e10i | − | 0.565115i | −0.959250 | − | 0.282557i | \(-0.908817\pi\) | ||
0.959250 | − | 0.282557i | \(-0.0911827\pi\) | |||||||
\(132\) | 3.42510e10 | − | 1.97748e10i | 0.854679 | − | 0.493449i | ||||
\(133\) | −3.97901e10 | −0.956131 | ||||||||
\(134\) | −2.89182e10 | + | 1.66959e10i | −0.669340 | + | 0.386444i | ||||
\(135\) | −4.78716e9 | − | 8.29160e9i | −0.106760 | − | 0.184914i | ||||
\(136\) | −3.92612e10 | − | 2.26675e10i | −0.843858 | − | 0.487201i | ||||
\(137\) | 4.64369e9i | 0.0962188i | 0.998842 | + | 0.0481094i | \(0.0153196\pi\) | ||||
−0.998842 | + | 0.0481094i | \(0.984680\pi\) | |||||||
\(138\) | 1.40570e10 | − | 2.43475e10i | 0.280865 | − | 0.486473i | ||||
\(139\) | −1.75907e10 | − | 3.04680e10i | −0.339007 | − | 0.587177i | 0.645239 | − | 0.763981i | \(-0.276758\pi\) |
−0.984246 | + | 0.176803i | \(0.943424\pi\) | |||||||
\(140\) | 1.50078e11 | 2.79047 | ||||||||
\(141\) | 3.25492e10 | − | 1.87923e10i | 0.584042 | − | 0.337197i | ||||
\(142\) | −5.16801e10 | + | 8.95126e10i | −0.895121 | + | 1.55039i | ||||
\(143\) | −2.46966e10 | + | 4.27757e10i | −0.413006 | + | 0.715347i | ||||
\(144\) | −1.71892e10 | + | 2.97726e10i | −0.277615 | + | 0.480844i | ||||
\(145\) | −1.17725e11 | −1.83666 | ||||||||
\(146\) | −4.19896e9 | + | 7.27282e9i | −0.0632962 | + | 0.109632i | ||||
\(147\) | −2.38559e10 | − | 1.37732e10i | −0.347544 | − | 0.200654i | ||||
\(148\) | 9.81505e10 | − | 5.66672e10i | 1.38224 | − | 0.798038i | ||||
\(149\) | 4.85168e10 | − | 2.80112e10i | 0.660634 | − | 0.381417i | −0.131884 | − | 0.991265i | \(-0.542103\pi\) |
0.792519 | + | 0.609848i | \(0.208769\pi\) | |||||||
\(150\) | 3.87337e11 | 5.10073 | ||||||||
\(151\) | − | 3.59769e10i | − | 0.458289i | −0.973392 | − | 0.229144i | \(-0.926407\pi\) | ||
0.973392 | − | 0.229144i | \(-0.0735928\pi\) | |||||||
\(152\) | −1.88750e10 | − | 3.26924e10i | −0.232631 | − | 0.402929i | ||||
\(153\) | 8.02963e10 | + | 1.39077e11i | 0.957719 | + | 1.65882i | ||||
\(154\) | 3.78681e10 | − | 6.55894e10i | 0.437189 | − | 0.757234i | ||||
\(155\) | 1.59626e11 | + | 9.21602e10i | 1.78421 | + | 1.03011i | ||||
\(156\) | 2.96932e11i | 3.21391i | ||||||||
\(157\) | 1.23656e11 | + | 7.13929e10i | 1.29634 | + | 0.748440i | 0.979769 | − | 0.200130i | \(-0.0641366\pi\) |
0.316567 | + | 0.948570i | \(0.397470\pi\) | |||||||
\(158\) | 7.57477e9 | + | 4.37329e9i | 0.0769279 | + | 0.0444143i | ||||
\(159\) | −8.26809e10 | − | 4.77359e10i | −0.813617 | − | 0.469742i | ||||
\(160\) | −1.27532e11 | − | 2.20891e11i | −1.21624 | − | 2.10658i | ||||
\(161\) | − | 3.10080e10i | − | 0.286645i | ||||||
\(162\) | 1.35319e11 | − | 7.81265e10i | 1.21279 | − | 0.700202i | ||||
\(163\) | −5.14289e10 | − | 2.96925e10i | −0.446961 | − | 0.258053i | 0.259585 | − | 0.965720i | \(-0.416414\pi\) |
−0.706546 | + | 0.707667i | \(0.749748\pi\) | |||||||
\(164\) | −7.80658e10 | −0.658024 | ||||||||
\(165\) | 8.07403e10 | − | 1.39846e11i | 0.660193 | − | 1.14349i | ||||
\(166\) | 1.50117e11 | − | 8.66703e10i | 1.19094 | − | 0.687591i | ||||
\(167\) | 2.96391e10 | + | 5.13364e10i | 0.228183 | + | 0.395224i | 0.957270 | − | 0.289197i | \(-0.0933884\pi\) |
−0.729087 | + | 0.684421i | \(0.760055\pi\) | |||||||
\(168\) | − | 1.20087e11i | − | 0.897323i | ||||||
\(169\) | −1.16488e11 | − | 2.01764e11i | −0.844986 | − | 1.46356i | ||||
\(170\) | −7.01794e11 | −4.94271 | ||||||||
\(171\) | 1.33724e11i | 0.914593i | ||||||||
\(172\) | 5.81784e10 | + | 1.96014e11i | 0.386473 | + | 1.30210i | ||||
\(173\) | −2.35065e11 | −1.51690 | −0.758450 | − | 0.651732i | \(-0.774043\pi\) | ||||
−0.758450 | + | 0.651732i | \(0.774043\pi\) | |||||||
\(174\) | 3.57147e11i | 2.23924i | ||||||||
\(175\) | 3.69972e11 | − | 2.13604e11i | 2.25413 | − | 1.30142i | ||||
\(176\) | −4.36663e10 | −0.258573 | ||||||||
\(177\) | −2.51523e11 | + | 1.45217e11i | −1.44781 | + | 0.835893i | ||||
\(178\) | −5.51544e10 | − | 9.55302e10i | −0.308660 | − | 0.534614i | ||||
\(179\) | 1.04795e11 | + | 6.05036e10i | 0.570265 | + | 0.329242i | 0.757255 | − | 0.653119i | \(-0.226540\pi\) |
−0.186990 | + | 0.982362i | \(0.559873\pi\) | |||||||
\(180\) | − | 5.04371e11i | − | 2.66924i | ||||||
\(181\) | 6.48919e10 | − | 1.12396e11i | 0.334039 | − | 0.578573i | −0.649261 | − | 0.760566i | \(-0.724922\pi\) |
0.983300 | + | 0.181993i | \(0.0582548\pi\) | |||||||
\(182\) | 2.84307e11 | + | 4.92435e11i | 1.42374 | + | 2.46599i | ||||
\(183\) | −1.19688e11 | −0.583170 | ||||||||
\(184\) | 2.54768e10 | − | 1.47090e10i | 0.120797 | − | 0.0697421i | ||||
\(185\) | 2.31372e11 | − | 4.00748e11i | 1.06771 | − | 1.84932i | ||||
\(186\) | 2.79589e11 | − | 4.84262e11i | 1.25590 | − | 2.17528i | ||||
\(187\) | −1.01989e11 | + | 1.76651e11i | −0.446013 | + | 0.772517i | ||||
\(188\) | 1.49107e11 | 0.634906 | ||||||||
\(189\) | −1.60179e10 | + | 2.77438e10i | −0.0664195 | + | 0.115042i | ||||
\(190\) | −5.06085e11 | − | 2.92188e11i | −2.04388 | − | 1.18004i | ||||
\(191\) | 4.82271e10 | − | 2.78439e10i | 0.189725 | − | 0.109538i | −0.402129 | − | 0.915583i | \(-0.631730\pi\) |
0.591854 | + | 0.806045i | \(0.298396\pi\) | |||||||
\(192\) | −5.02750e11 | + | 2.90263e11i | −1.92684 | + | 1.11246i | ||||
\(193\) | −8.90181e10 | −0.332423 | −0.166212 | − | 0.986090i | \(-0.553154\pi\) | ||||
−0.166212 | + | 0.986090i | \(0.553154\pi\) | |||||||
\(194\) | 6.73516e11i | 2.45098i | ||||||||
\(195\) | 6.06185e11 | + | 1.04994e12i | 2.14997 | + | 3.72385i | ||||
\(196\) | −5.46417e10 | − | 9.46423e10i | −0.188905 | − | 0.327194i | ||||
\(197\) | −1.72143e11 | + | 2.98160e11i | −0.580173 | + | 1.00489i | 0.415285 | + | 0.909691i | \(0.363682\pi\) |
−0.995458 | + | 0.0951982i | \(0.969652\pi\) | |||||||
\(198\) | −2.20428e11 | − | 1.27264e11i | −0.724337 | − | 0.418196i | ||||
\(199\) | − | 2.32933e11i | − | 0.746391i | −0.927753 | − | 0.373195i | \(-0.878262\pi\) | ||
0.927753 | − | 0.373195i | \(-0.121738\pi\) | |||||||
\(200\) | 3.51002e11 | + | 2.02651e11i | 1.09688 | + | 0.633285i | ||||
\(201\) | 2.06308e11 | + | 1.19112e11i | 0.628832 | + | 0.363056i | ||||
\(202\) | −3.12805e9 | − | 1.80598e9i | −0.00930073 | − | 0.00536978i | ||||
\(203\) | 1.96955e11 | + | 3.41136e11i | 0.571329 | + | 0.989571i | ||||
\(204\) | 1.22624e12i | 3.47076i | ||||||||
\(205\) | −2.76038e11 | + | 1.59371e11i | −0.762430 | + | 0.440189i | ||||
\(206\) | −8.85036e11 | − | 5.10976e11i | −2.38575 | − | 1.37741i | ||||
\(207\) | −1.04209e11 | −0.274192 | ||||||||
\(208\) | 1.63919e11 | − | 2.83917e11i | 0.421031 | − | 0.729247i | ||||
\(209\) | −1.47095e11 | + | 8.49255e10i | −0.368865 | + | 0.212964i | ||||
\(210\) | −9.29484e11 | − | 1.60991e12i | −2.27586 | − | 3.94190i | ||||
\(211\) | 1.49533e11i | 0.357540i | 0.983891 | + | 0.178770i | \(0.0572118\pi\) | ||||
−0.983891 | + | 0.178770i | \(0.942788\pi\) | |||||||
\(212\) | −1.89380e11 | − | 3.28016e11i | −0.442237 | − | 0.765977i | ||||
\(213\) | 7.37390e11 | 1.68190 | ||||||||
\(214\) | − | 5.03301e11i | − | 1.12140i | ||||||
\(215\) | 6.05878e11 | + | 5.74329e11i | 1.31884 | + | 1.25017i | ||||
\(216\) | −3.03931e10 | −0.0646407 | ||||||||
\(217\) | − | 6.16737e11i | − | 1.28175i | ||||||
\(218\) | 7.08075e11 | − | 4.08807e11i | 1.43812 | − | 0.830302i | ||||
\(219\) | 5.99123e10 | 0.118931 | ||||||||
\(220\) | 5.54805e11 | − | 3.20317e11i | 1.07653 | − | 0.621536i | ||||
\(221\) | −7.65720e11 | − | 1.32627e12i | −1.45248 | − | 2.51576i | ||||
\(222\) | −1.21576e12 | − | 7.01919e11i | −2.25467 | − | 1.30173i | ||||
\(223\) | − | 5.87357e10i | − | 0.106507i | −0.998581 | − | 0.0532534i | \(-0.983041\pi\) | ||
0.998581 | − | 0.0532534i | \(-0.0169591\pi\) | |||||||
\(224\) | −4.26722e11 | + | 7.39104e11i | −0.756667 | + | 1.31059i | ||||
\(225\) | −7.17863e11 | − | 1.24338e12i | −1.24488 | − | 2.15620i | ||||
\(226\) | 2.97305e11 | 0.504267 | ||||||||
\(227\) | 7.80019e11 | − | 4.50344e11i | 1.29412 | − | 0.747163i | 0.314742 | − | 0.949177i | \(-0.398082\pi\) |
0.979383 | + | 0.202014i | \(0.0647487\pi\) | |||||||
\(228\) | −5.10539e11 | + | 8.84279e11i | −0.828618 | + | 1.43521i | ||||
\(229\) | −4.85615e11 | + | 8.41109e11i | −0.771107 | + | 1.33560i | 0.165850 | + | 0.986151i | \(0.446963\pi\) |
−0.936957 | + | 0.349445i | \(0.886370\pi\) | |||||||
\(230\) | 2.27699e11 | − | 3.94386e11i | 0.353771 | − | 0.612749i | ||||
\(231\) | −5.40315e11 | −0.821462 | ||||||||
\(232\) | −1.86856e11 | + | 3.23644e11i | −0.278014 | + | 0.481535i | ||||
\(233\) | 9.65438e11 | + | 5.57396e11i | 1.40587 | + | 0.811679i | 0.994987 | − | 0.100009i | \(-0.0318872\pi\) |
0.410883 | + | 0.911688i | \(0.365221\pi\) | |||||||
\(234\) | 1.65494e12 | − | 9.55478e11i | 2.35886 | − | 1.36189i | ||||
\(235\) | 5.27239e11 | − | 3.04402e11i | 0.735645 | − | 0.424725i | ||||
\(236\) | −1.15222e12 | −1.57390 | ||||||||
\(237\) | − | 6.23997e10i | − | 0.0834528i | ||||||
\(238\) | 1.17410e12 | + | 2.03361e12i | 1.53752 | + | 2.66307i | ||||
\(239\) | −2.50828e11 | − | 4.34447e11i | −0.321652 | − | 0.557118i | 0.659177 | − | 0.751988i | \(-0.270905\pi\) |
−0.980829 | + | 0.194870i | \(0.937571\pi\) | |||||||
\(240\) | −5.35901e11 | + | 9.28208e11i | −0.673021 | + | 1.16571i | ||||
\(241\) | 5.72518e11 | + | 3.30544e11i | 0.704213 | + | 0.406578i | 0.808915 | − | 0.587926i | \(-0.200055\pi\) |
−0.104701 | + | 0.994504i | \(0.533389\pi\) | |||||||
\(242\) | 9.51299e11i | 1.14615i | ||||||||
\(243\) | −1.05161e12 | − | 6.07146e11i | −1.24115 | − | 0.716576i | ||||
\(244\) | −4.11217e11 | − | 2.37416e11i | −0.475468 | − | 0.274512i | ||||
\(245\) | −3.86423e11 | − | 2.23102e11i | −0.437757 | − | 0.252739i | ||||
\(246\) | 4.83488e11 | + | 8.37426e11i | 0.536674 | + | 0.929546i | ||||
\(247\) | − | 1.27521e12i | − | 1.38707i | ||||||
\(248\) | 5.06724e11 | − | 2.92557e11i | 0.540148 | − | 0.311855i | ||||
\(249\) | −1.07096e12 | − | 6.18322e11i | −1.11887 | − | 0.645978i | ||||
\(250\) | 3.54895e12 | 3.63413 | ||||||||
\(251\) | 2.71412e11 | − | 4.70099e11i | 0.272433 | − | 0.471868i | −0.697051 | − | 0.717021i | \(-0.745505\pi\) |
0.969484 | + | 0.245153i | \(0.0788383\pi\) | |||||||
\(252\) | −1.46153e12 | + | 8.43814e11i | −1.43815 | + | 0.830317i | ||||
\(253\) | −6.61815e10 | − | 1.14630e11i | −0.0638460 | − | 0.110585i | ||||
\(254\) | − | 7.58065e11i | − | 0.717030i | ||||||
\(255\) | 2.50336e12 | + | 4.33595e12i | 2.32179 | + | 4.02146i | ||||
\(256\) | −4.29444e10 | −0.0390577 | ||||||||
\(257\) | − | 2.76770e11i | − | 0.246862i | −0.992353 | − | 0.123431i | \(-0.960610\pi\) | ||
0.992353 | − | 0.123431i | \(-0.0393897\pi\) | |||||||
\(258\) | 1.74236e12 | − | 1.83807e12i | 1.52419 | − | 1.60792i | ||||
\(259\) | −1.54834e12 | −1.32852 | ||||||||
\(260\) | 4.80977e12i | 4.04816i | ||||||||
\(261\) | 1.14646e12 | − | 6.61911e11i | 0.946581 | − | 0.546509i | ||||
\(262\) | −1.07136e12 | −0.867823 | ||||||||
\(263\) | 1.51469e12 | − | 8.74504e11i | 1.20377 | − | 0.694997i | 0.242379 | − | 0.970182i | \(-0.422072\pi\) |
0.961392 | + | 0.275184i | \(0.0887389\pi\) | |||||||
\(264\) | −2.56305e11 | − | 4.43934e11i | −0.199866 | − | 0.346178i | ||||
\(265\) | −1.33929e12 | − | 7.73237e11i | −1.02481 | − | 0.591675i | ||||
\(266\) | 1.95533e12i | 1.46829i | ||||||||
\(267\) | −3.93481e11 | + | 6.81530e11i | −0.289980 | + | 0.502260i | ||||
\(268\) | 4.72546e11 | + | 8.18473e11i | 0.341798 | + | 0.592012i | ||||
\(269\) | −2.44524e11 | −0.173604 | −0.0868020 | − | 0.996226i | \(-0.527665\pi\) | ||||
−0.0868020 | + | 0.996226i | \(0.527665\pi\) | |||||||
\(270\) | −4.07458e11 | + | 2.35246e11i | −0.283964 | + | 0.163947i | ||||
\(271\) | −9.69020e11 | + | 1.67839e12i | −0.662958 | + | 1.14828i | 0.316876 | + | 0.948467i | \(0.397366\pi\) |
−0.979835 | + | 0.199811i | \(0.935967\pi\) | |||||||
\(272\) | 6.76939e11 | − | 1.17249e12i | 0.454679 | − | 0.787527i | ||||
\(273\) | 2.02830e12 | − | 3.51312e12i | 1.33758 | − | 2.31675i | ||||
\(274\) | 2.28196e11 | 0.147759 | ||||||||
\(275\) | 9.11804e11 | − | 1.57929e12i | 0.579746 | − | 1.00415i | ||||
\(276\) | −6.89109e11 | − | 3.97857e11i | −0.430271 | − | 0.248417i | ||||
\(277\) | −1.60469e12 | + | 9.26465e11i | −0.983991 | + | 0.568107i | −0.903473 | − | 0.428646i | \(-0.858991\pi\) |
−0.0805181 | + | 0.996753i | \(0.525657\pi\) | |||||||
\(278\) | −1.49723e12 | + | 8.64425e11i | −0.901704 | + | 0.520599i | ||||
\(279\) | −2.07268e12 | −1.22606 | ||||||||
\(280\) | − | 1.94519e12i | − | 1.13024i | ||||||
\(281\) | −1.42241e12 | − | 2.46369e12i | −0.811883 | − | 1.40622i | −0.911545 | − | 0.411201i | \(-0.865110\pi\) |
0.0996622 | − | 0.995021i | \(-0.468224\pi\) | |||||||
\(282\) | −9.23472e11 | − | 1.59950e12i | −0.517819 | − | 0.896889i | ||||
\(283\) | −1.40423e12 | + | 2.43220e12i | −0.773582 | + | 1.33988i | 0.162006 | + | 0.986790i | \(0.448203\pi\) |
−0.935588 | + | 0.353093i | \(0.885130\pi\) | |||||||
\(284\) | 2.53348e12 | + | 1.46271e12i | 1.37128 | + | 0.791708i | ||||
\(285\) | 4.16905e12i | 2.21724i | ||||||||
\(286\) | 2.10204e12 | + | 1.21361e12i | 1.09853 | + | 0.634236i | ||||
\(287\) | 9.23627e11 | + | 5.33256e11i | 0.474337 | + | 0.273859i | ||||
\(288\) | 2.48393e12 | + | 1.43409e12i | 1.25365 | + | 0.723795i | ||||
\(289\) | −2.15420e12 | − | 3.73119e12i | −1.06856 | − | 1.85079i | ||||
\(290\) | 5.78514e12i | 2.82049i | ||||||||
\(291\) | 4.16124e12 | − | 2.40249e12i | 1.99415 | − | 1.15132i | ||||
\(292\) | 2.05843e11 | + | 1.18844e11i | 0.0969665 | + | 0.0559837i | ||||
\(293\) | −1.56527e12 | −0.724854 | −0.362427 | − | 0.932012i | \(-0.618052\pi\) | ||||
−0.362427 | + | 0.932012i | \(0.618052\pi\) | |||||||
\(294\) | −6.76830e11 | + | 1.17230e12i | −0.308136 | + | 0.533708i | ||||
\(295\) | −4.07423e12 | + | 2.35226e12i | −1.82362 | + | 1.05287i | ||||
\(296\) | −7.34476e11 | − | 1.27215e12i | −0.323236 | − | 0.559861i | ||||
\(297\) | 1.36750e11i | 0.0591760i | ||||||||
\(298\) | −1.37650e12 | − | 2.38417e12i | −0.585726 | − | 1.01451i | ||||
\(299\) | 9.93759e11 | 0.415839 | ||||||||
\(300\) | − | 1.09628e13i | − | 4.51144i | ||||||
\(301\) | 6.50611e11 | − | 2.71652e12i | 0.263323 | − | 1.09946i | ||||
\(302\) | −1.76794e12 | −0.703775 | ||||||||
\(303\) | 2.57684e10i | 0.0100896i | ||||||||
\(304\) | 9.76322e11 | − | 5.63680e11i | 0.376032 | − | 0.217102i | ||||
\(305\) | −1.93873e12 | −0.734546 | ||||||||
\(306\) | 6.83440e12 | − | 3.94584e12i | 2.54738 | − | 1.47073i | ||||
\(307\) | −1.78232e12 | − | 3.08707e12i | −0.653572 | − | 1.13202i | −0.982250 | − | 0.187578i | \(-0.939936\pi\) |
0.328677 | − | 0.944442i | \(-0.393397\pi\) | |||||||
\(308\) | −1.85638e12 | − | 1.07178e12i | −0.669752 | − | 0.386681i | ||||
\(309\) | 7.29079e12i | 2.58811i | ||||||||
\(310\) | 4.52885e12 | − | 7.84420e12i | 1.58190 | − | 2.73993i | ||||
\(311\) | 2.56623e11 | + | 4.44485e11i | 0.0882052 | + | 0.152776i | 0.906753 | − | 0.421663i | \(-0.138554\pi\) |
−0.818547 | + | 0.574439i | \(0.805220\pi\) | |||||||
\(312\) | 3.84860e12 | 1.30176 | ||||||||
\(313\) | 2.63221e12 | − | 1.51971e12i | 0.876192 | − | 0.505870i | 0.00679121 | − | 0.999977i | \(-0.497838\pi\) |
0.869401 | + | 0.494107i | \(0.164505\pi\) | |||||||
\(314\) | 3.50832e12 | − | 6.07659e12i | 1.14935 | − | 1.99073i | ||||
\(315\) | −3.44528e12 | + | 5.96741e12i | −1.11089 | + | 1.92412i | ||||
\(316\) | 1.23778e11 | − | 2.14389e11i | 0.0392832 | − | 0.0680405i | ||||
\(317\) | −2.82260e12 | −0.881765 | −0.440882 | − | 0.897565i | \(-0.645334\pi\) | ||||
−0.440882 | + | 0.897565i | \(0.645334\pi\) | |||||||
\(318\) | −2.34579e12 | + | 4.06303e12i | −0.721362 | + | 1.24944i | ||||
\(319\) | 1.45620e12 | + | 8.40736e11i | 0.440826 | + | 0.254511i | ||||
\(320\) | −8.14366e12 | + | 4.70174e12i | −2.42700 | + | 1.40123i | ||||
\(321\) | −3.10959e12 | + | 1.79532e12i | −0.912383 | + | 0.526765i | ||||
\(322\) | −1.52377e12 | −0.440189 | ||||||||
\(323\) | − | 5.26626e12i | − | 1.49792i | ||||||
\(324\) | −2.21122e12 | − | 3.82995e12i | −0.619308 | − | 1.07267i | ||||
\(325\) | 6.84567e12 | + | 1.18571e13i | 1.88799 | + | 3.27009i | ||||
\(326\) | −1.45912e12 | + | 2.52727e12i | −0.396281 | + | 0.686379i | ||||
\(327\) | −5.05153e12 | − | 2.91650e12i | −1.35109 | − | 0.780052i | ||||
\(328\) | 1.01183e12i | 0.266525i | ||||||||
\(329\) | −1.76415e12 | − | 1.01853e12i | −0.457673 | − | 0.264237i | ||||
\(330\) | −6.87219e12 | − | 3.96766e12i | −1.75601 | − | 1.01383i | ||||
\(331\) | −2.71169e12 | − | 1.56559e12i | −0.682495 | − | 0.394039i | 0.118299 | − | 0.992978i | \(-0.462256\pi\) |
−0.800794 | + | 0.598939i | \(0.795589\pi\) | |||||||
\(332\) | −2.45304e12 | − | 4.24878e12i | −0.608154 | − | 1.05335i | ||||
\(333\) | 5.20356e12i | 1.27081i | ||||||||
\(334\) | 2.52272e12 | − | 1.45650e12i | 0.606928 | − | 0.350410i | ||||
\(335\) | 3.34182e12 | + | 1.92940e12i | 0.792061 | + | 0.457297i | ||||
\(336\) | 3.58626e12 | 0.837423 | ||||||||
\(337\) | −9.29090e11 | + | 1.60923e12i | −0.213751 | + | 0.370228i | −0.952886 | − | 0.303330i | \(-0.901902\pi\) |
0.739134 | + | 0.673558i | \(0.235235\pi\) | |||||||
\(338\) | −9.91489e12 | + | 5.72436e12i | −2.24752 | + | 1.29761i | ||||
\(339\) | −1.06051e12 | − | 1.83687e12i | −0.236874 | − | 0.410279i | ||||
\(340\) | 1.98629e13i | 4.37168i | ||||||||
\(341\) | −1.31633e12 | − | 2.27994e12i | −0.285490 | − | 0.494484i | ||||
\(342\) | 6.57132e12 | 1.40450 | ||||||||
\(343\) | − | 3.87439e12i | − | 0.816081i | ||||||
\(344\) | 2.54058e12 | − | 7.54063e11i | 0.527400 | − | 0.156536i | ||||
\(345\) | −3.24889e12 | −0.664722 | ||||||||
\(346\) | 1.15513e13i | 2.32944i | ||||||||
\(347\) | 2.02865e12 | − | 1.17124e12i | 0.403235 | − | 0.232808i | −0.284644 | − | 0.958633i | \(-0.591875\pi\) |
0.687879 | + | 0.725825i | \(0.258542\pi\) | |||||||
\(348\) | 1.01083e13 | 1.98054 | ||||||||
\(349\) | 5.46547e12 | − | 3.15549e12i | 1.05560 | − | 0.609452i | 0.131390 | − | 0.991331i | \(-0.458056\pi\) |
0.924213 | + | 0.381879i | \(0.124723\pi\) | |||||||
\(350\) | −1.04967e13 | − | 1.81808e13i | −1.99854 | − | 3.46157i | ||||
\(351\) | −8.89145e11 | − | 5.13348e11i | −0.166893 | − | 0.0963555i | ||||
\(352\) | 3.64307e12i | 0.674147i | ||||||||
\(353\) | −1.58876e12 | + | 2.75182e12i | −0.289859 | + | 0.502050i | −0.973776 | − | 0.227510i | \(-0.926942\pi\) |
0.683917 | + | 0.729560i | \(0.260275\pi\) | |||||||
\(354\) | 7.13611e12 | + | 1.23601e13i | 1.28365 | + | 2.22334i | ||||
\(355\) | 1.19444e13 | 2.11847 | ||||||||
\(356\) | −2.70380e12 | + | 1.56104e12i | −0.472851 | + | 0.273000i | ||||
\(357\) | 8.37628e12 | − | 1.45081e13i | 1.44447 | − | 2.50190i | ||||
\(358\) | 2.97321e12 | − | 5.14975e12i | 0.505604 | − | 0.875731i | ||||
\(359\) | −5.04813e12 | + | 8.74362e12i | −0.846561 | + | 1.46629i | 0.0376979 | + | 0.999289i | \(0.487998\pi\) |
−0.884259 | + | 0.466997i | \(0.845336\pi\) | |||||||
\(360\) | −6.53726e12 | −1.08114 | ||||||||
\(361\) | −8.72956e11 | + | 1.51200e12i | −0.142382 | + | 0.246614i | ||||
\(362\) | −5.52326e12 | − | 3.18886e12i | −0.888490 | − | 0.512970i | ||||
\(363\) | 5.87749e12 | − | 3.39337e12i | 0.932521 | − | 0.538391i | ||||
\(364\) | 1.39374e13 | − | 8.04677e12i | 2.18110 | − | 1.25926i | ||||
\(365\) | 9.70474e11 | 0.149803 | ||||||||
\(366\) | 5.88160e12i | 0.895550i | ||||||||
\(367\) | 8.91535e11 | + | 1.54418e12i | 0.133909 | + | 0.231936i | 0.925180 | − | 0.379529i | \(-0.123914\pi\) |
−0.791271 | + | 0.611465i | \(0.790581\pi\) | |||||||
\(368\) | 4.39269e11 | + | 7.60837e11i | 0.0650866 | + | 0.112733i | ||||
\(369\) | 1.79213e12 | − | 3.10406e12i | 0.261961 | − | 0.453730i | ||||
\(370\) | −1.96932e13 | − | 1.13698e13i | −2.83992 | − | 1.63963i | ||||
\(371\) | 5.17451e12i | 0.736207i | ||||||||
\(372\) | −1.37061e13 | − | 7.91323e12i | −1.92398 | − | 1.11081i | ||||
\(373\) | 1.16755e13 | + | 6.74085e12i | 1.61708 | + | 0.933621i | 0.987671 | + | 0.156546i | \(0.0500360\pi\) |
0.629408 | + | 0.777075i | \(0.283297\pi\) | |||||||
\(374\) | 8.68081e12 | + | 5.01187e12i | 1.18632 | + | 0.684923i | ||||
\(375\) | −1.26594e13 | − | 2.19268e13i | −1.70710 | − | 2.95678i | ||||
\(376\) | − | 1.93261e12i | − | 0.257161i | ||||||
\(377\) | −1.09329e13 | + | 6.31211e12i | −1.43558 | + | 0.828834i | ||||
\(378\) | 1.36336e12 | + | 7.87135e11i | 0.176665 | + | 0.101998i | ||||
\(379\) | −1.79336e12 | −0.229336 | −0.114668 | − | 0.993404i | \(-0.536580\pi\) | ||||
−0.114668 | + | 0.993404i | \(0.536580\pi\) | |||||||
\(380\) | −8.26983e12 | + | 1.43238e13i | −1.04371 | + | 1.80775i | ||||
\(381\) | −4.68361e12 | + | 2.70408e12i | −0.583386 | + | 0.336818i | ||||
\(382\) | −1.36828e12 | − | 2.36993e12i | −0.168212 | − | 0.291353i | ||||
\(383\) | 9.35753e12i | 1.13545i | 0.823219 | + | 0.567724i | \(0.192176\pi\) | ||||
−0.823219 | + | 0.567724i | \(0.807824\pi\) | |||||||
\(384\) | 6.20168e12 | + | 1.07416e13i | 0.742768 | + | 1.28651i | ||||
\(385\) | −8.75215e12 | −1.03469 | ||||||||
\(386\) | 4.37444e12i | 0.510488i | ||||||||
\(387\) | −9.12949e12 | − | 2.18653e12i | −1.05170 | − | 0.251884i | ||||
\(388\) | 1.90626e13 | 2.16782 | ||||||||
\(389\) | 5.40030e11i | 0.0606275i | 0.999540 | + | 0.0303138i | \(0.00965065\pi\) | ||||
−0.999540 | + | 0.0303138i | \(0.990349\pi\) | |||||||
\(390\) | 5.15953e13 | − | 2.97886e13i | 5.71857 | − | 3.30162i | ||||
\(391\) | 4.10393e12 | 0.449072 | ||||||||
\(392\) | −1.22668e12 | + | 7.08223e11i | −0.132526 | + | 0.0765138i | ||||
\(393\) | 3.82166e12 | + | 6.61930e12i | 0.407651 | + | 0.706073i | ||||
\(394\) | 1.46519e13 | + | 8.45928e12i | 1.54317 | + | 0.890947i | ||||
\(395\) | − | 1.01077e12i | − | 0.105115i | ||||||
\(396\) | −3.60197e12 | + | 6.23879e12i | −0.369882 | + | 0.640655i | ||||
\(397\) | −3.63447e12 | − | 6.29509e12i | −0.368544 | − | 0.638337i | 0.620794 | − | 0.783973i | \(-0.286810\pi\) |
−0.989338 | + | 0.145637i | \(0.953477\pi\) | |||||||
\(398\) | −1.14466e13 | −1.14620 | ||||||||
\(399\) | 1.20808e13 | − | 6.97483e12i | 1.19462 | − | 0.689715i | ||||
\(400\) | −6.05195e12 | + | 1.04823e13i | −0.591011 | + | 1.02366i | ||||
\(401\) | 1.25140e12 | − | 2.16749e12i | 0.120691 | − | 0.209043i | −0.799350 | − | 0.600866i | \(-0.794822\pi\) |
0.920040 | + | 0.391824i | \(0.128156\pi\) | |||||||
\(402\) | 5.85327e12 | − | 1.01382e13i | 0.557530 | − | 0.965671i | ||||
\(403\) | 1.97655e13 | 1.85944 | ||||||||
\(404\) | −5.11148e10 | + | 8.85334e10i | −0.00474941 | + | 0.00822622i | ||||
\(405\) | −1.56376e13 | − | 9.02839e12i | −1.43514 | − | 0.828581i | ||||
\(406\) | 1.67638e13 | − | 9.67857e12i | 1.51964 | − | 0.877366i | ||||
\(407\) | −5.72388e12 | + | 3.30469e12i | −0.512529 | + | 0.295909i | ||||
\(408\) | 1.58936e13 | 1.40579 | ||||||||
\(409\) | − | 1.71071e13i | − | 1.49472i | −0.664417 | − | 0.747362i | \(-0.731320\pi\) | ||
0.664417 | − | 0.747362i | \(-0.268680\pi\) | |||||||
\(410\) | 7.83165e12 | + | 1.35648e13i | 0.675980 | + | 1.17083i | ||||
\(411\) | −8.13994e11 | − | 1.40988e12i | −0.0694084 | − | 0.120219i | ||||
\(412\) | −1.44622e13 | + | 2.50492e13i | −1.21828 | + | 2.11013i | ||||
\(413\) | 1.36324e13 | + | 7.87067e12i | 1.13455 | + | 0.655030i | ||||
\(414\) | 5.12096e12i | 0.421065i | ||||||||
\(415\) | −1.73477e13 | − | 1.00157e13i | −1.40930 | − | 0.813657i | ||||
\(416\) | −2.36872e13 | − | 1.36758e13i | −1.90128 | − | 1.09771i | ||||
\(417\) | 1.06815e13 | + | 6.16696e12i | 0.847133 | + | 0.489092i | ||||
\(418\) | 4.17333e12 | + | 7.22842e12i | 0.327040 | + | 0.566450i | ||||
\(419\) | − | 7.26549e12i | − | 0.562594i | −0.959621 | − | 0.281297i | \(-0.909235\pi\) | ||
0.959621 | − | 0.281297i | \(-0.0907646\pi\) | |||||||
\(420\) | −4.55655e13 | + | 2.63072e13i | −3.48650 | + | 2.01293i | ||||
\(421\) | −1.44275e13 | − | 8.32975e12i | −1.09089 | − | 0.629827i | −0.157079 | − | 0.987586i | \(-0.550208\pi\) |
−0.933814 | + | 0.357759i | \(0.883541\pi\) | |||||||
\(422\) | 7.34820e12 | 0.549059 | ||||||||
\(423\) | −3.42300e12 | + | 5.92881e12i | −0.252758 | + | 0.437790i | ||||
\(424\) | −4.25148e12 | + | 2.45459e12i | −0.310250 | + | 0.179123i | ||||
\(425\) | 2.82706e13 | + | 4.89661e13i | 2.03887 | + | 3.53143i | ||||
\(426\) | − | 3.62361e13i | − | 2.58282i | ||||||
\(427\) | 3.24351e12 | + | 5.61793e12i | 0.228495 | + | 0.395764i | ||||
\(428\) | −1.42450e13 | −0.991842 | ||||||||
\(429\) | − | 1.73163e13i | − | 1.19170i | ||||||
\(430\) | 2.82231e13 | − | 2.97735e13i | 1.91983 | − | 2.02529i | ||||
\(431\) | −2.20949e13 | −1.48561 | −0.742807 | − | 0.669506i | \(-0.766506\pi\) | ||||
−0.742807 | + | 0.669506i | \(0.766506\pi\) | |||||||
\(432\) | − | 9.07657e11i | − | 0.0603258i | ||||||
\(433\) | −4.23745e12 | + | 2.44649e12i | −0.278397 | + | 0.160733i | −0.632698 | − | 0.774399i | \(-0.718052\pi\) |
0.354300 | + | 0.935132i | \(0.384719\pi\) | |||||||
\(434\) | −3.03071e13 | −1.96832 | ||||||||
\(435\) | 3.57428e13 | − | 2.06361e13i | 2.29479 | − | 1.32490i | ||||
\(436\) | −1.15705e13 | − | 2.00407e13i | −0.734378 | − | 1.27198i | ||||
\(437\) | 2.95947e12 | + | 1.70865e12i | 0.185698 | + | 0.107213i | ||||
\(438\) | − | 2.94415e12i | − | 0.182638i | ||||||
\(439\) | 3.01801e12 | − | 5.22734e12i | 0.185096 | − | 0.320596i | −0.758513 | − | 0.651658i | \(-0.774074\pi\) |
0.943609 | + | 0.331062i | \(0.107407\pi\) | |||||||
\(440\) | −4.15170e12 | − | 7.19095e12i | −0.251746 | − | 0.436036i | ||||
\(441\) | 5.01756e12 | 0.300815 | ||||||||
\(442\) | −6.51741e13 | + | 3.76283e13i | −3.86335 | + | 2.23050i | ||||
\(443\) | 2.55193e11 | − | 4.42008e11i | 0.0149572 | − | 0.0259066i | −0.858450 | − | 0.512897i | \(-0.828572\pi\) |
0.873407 | + | 0.486991i | \(0.161905\pi\) | |||||||
\(444\) | −1.98665e13 | + | 3.44097e13i | −1.15135 | + | 1.99419i | ||||
\(445\) | −6.37370e12 | + | 1.10396e13i | −0.365251 | + | 0.632634i | ||||
\(446\) | −2.88633e12 | −0.163558 | ||||||||
\(447\) | −9.82020e12 | + | 1.70091e13i | −0.550279 | + | 0.953110i | ||||
\(448\) | 2.72487e13 | + | 1.57321e13i | 1.50993 | + | 0.871758i | ||||
\(449\) | 2.97297e13 | − | 1.71644e13i | 1.62914 | − | 0.940584i | 0.644790 | − | 0.764360i | \(-0.276945\pi\) |
0.984350 | − | 0.176224i | \(-0.0563884\pi\) | |||||||
\(450\) | −6.11008e13 | + | 3.52765e13i | −3.31119 | + | 1.91172i | ||||
\(451\) | 4.55259e12 | 0.243992 | ||||||||
\(452\) | − | 8.41465e12i | − | 0.446009i | ||||||
\(453\) | 6.30642e12 | + | 1.09230e13i | 0.330591 | + | 0.572601i | ||||
\(454\) | −2.21304e13 | − | 3.83310e13i | −1.14739 | − | 1.98733i | ||||
\(455\) | 3.28549e13 | − | 5.69063e13i | 1.68478 | − | 2.91812i | ||||
\(456\) | 1.14613e13 | + | 6.61720e12i | 0.581314 | + | 0.335622i | ||||
\(457\) | 1.21437e13i | 0.609213i | 0.952478 | + | 0.304606i | \(0.0985249\pi\) | ||||
−0.952478 | + | 0.304606i | \(0.901475\pi\) | |||||||
\(458\) | 4.13330e13 | + | 2.38636e13i | 2.05102 | + | 1.18416i | ||||
\(459\) | −3.67191e12 | − | 2.11998e12i | −0.180231 | − | 0.104056i | ||||
\(460\) | −1.11623e13 | − | 6.44458e12i | −0.541959 | − | 0.312900i | ||||
\(461\) | 1.59068e13 | + | 2.75514e13i | 0.763972 | + | 1.32324i | 0.940788 | + | 0.338995i | \(0.110087\pi\) |
−0.176816 | + | 0.984244i | \(0.556580\pi\) | |||||||
\(462\) | 2.65517e13i | 1.26148i | ||||||||
\(463\) | 1.92342e13 | − | 1.11049e13i | 0.904004 | − | 0.521927i | 0.0255068 | − | 0.999675i | \(-0.491880\pi\) |
0.878497 | + | 0.477748i | \(0.158547\pi\) | |||||||
\(464\) | −9.66528e12 | − | 5.58025e12i | −0.449391 | − | 0.259456i | ||||
\(465\) | −6.46192e13 | −2.97233 | ||||||||
\(466\) | 2.73910e13 | − | 4.74426e13i | 1.24646 | − | 2.15893i | ||||
\(467\) | −2.70001e13 | + | 1.55885e13i | −1.21557 | + | 0.701812i | −0.963968 | − | 0.266017i | \(-0.914292\pi\) |
−0.251607 | + | 0.967830i | \(0.580959\pi\) | |||||||
\(468\) | −2.70430e13 | − | 4.68398e13i | −1.20455 | − | 2.08634i | ||||
\(469\) | − | 1.29116e13i | − | 0.569003i | ||||||
\(470\) | −1.49586e13 | − | 2.59091e13i | −0.652232 | − | 1.12970i | ||||
\(471\) | −5.00580e13 | −2.15958 | ||||||||
\(472\) | 1.49342e13i | 0.637488i | ||||||||
\(473\) | −3.39281e12 | − | 1.14310e13i | −0.143303 | − | 0.482813i | ||||
\(474\) | −3.06639e12 | −0.128155 | ||||||||
\(475\) | 4.70813e13i | 1.94706i | ||||||||
\(476\) | 5.75574e13 | − | 3.32308e13i | 2.35541 | − | 1.35990i | ||||
\(477\) | 1.73901e13 | 0.704223 | ||||||||
\(478\) | −2.13492e13 | + | 1.23259e13i | −0.855542 | + | 0.493947i | ||||
\(479\) | 1.54355e13 | + | 2.67351e13i | 0.612131 | + | 1.06024i | 0.990881 | + | 0.134743i | \(0.0430207\pi\) |
−0.378750 | + | 0.925499i | \(0.623646\pi\) | |||||||
\(480\) | 7.74403e13 | + | 4.47102e13i | 3.03921 | + | 1.75469i | ||||
\(481\) | − | 4.96221e13i | − | 1.92730i | ||||||
\(482\) | 1.62433e13 | − | 2.81341e13i | 0.624364 | − | 1.08143i | ||||
\(483\) | 5.43541e12 | + | 9.41440e12i | 0.206774 | + | 0.358144i | ||||
\(484\) | 2.69247e13 | 1.01373 | ||||||||
\(485\) | 6.74047e13 | − | 3.89161e13i | 2.51178 | − | 1.45018i | ||||
\(486\) | −2.98358e13 | + | 5.16771e13i | −1.10041 | + | 1.90597i | ||||
\(487\) | 8.89042e12 | − | 1.53987e13i | 0.324547 | − | 0.562132i | −0.656874 | − | 0.754001i | \(-0.728122\pi\) |
0.981421 | + | 0.191869i | \(0.0614549\pi\) | |||||||
\(488\) | −3.07720e12 | + | 5.32987e12i | −0.111188 | + | 0.192583i | ||||
\(489\) | 2.08193e13 | 0.744596 | ||||||||
\(490\) | −1.09634e13 | + | 1.89893e13i | −0.388121 | + | 0.672245i | ||||
\(491\) | 5.30359e12 | + | 3.06203e12i | 0.185850 | + | 0.107301i | 0.590038 | − | 0.807375i | \(-0.299113\pi\) |
−0.404188 | + | 0.914676i | \(0.632446\pi\) | |||||||
\(492\) | 2.37017e13 | − | 1.36842e13i | 0.822156 | − | 0.474672i | ||||
\(493\) | −4.51496e13 | + | 2.60671e13i | −1.55031 | + | 0.895073i | ||||
\(494\) | −6.26653e13 | −2.13006 | ||||||||
\(495\) | 2.94136e13i | 0.989742i | ||||||||
\(496\) | 8.73690e12 | + | 1.51328e13i | 0.291038 | + | 0.504092i | ||||
\(497\) | −1.99831e13 | − | 3.46117e13i | −0.658992 | − | 1.14141i | ||||
\(498\) | −3.03850e13 | + | 5.26283e13i | −0.992001 | + | 1.71820i | ||||
\(499\) | −3.65991e13 | − | 2.11305e13i | −1.18295 | − | 0.682978i | −0.226257 | − | 0.974068i | \(-0.572649\pi\) |
−0.956696 | + | 0.291090i | \(0.905982\pi\) | |||||||
\(500\) | − | 1.00446e14i | − | 3.21428i | ||||||
\(501\) | −1.79976e13 | − | 1.03909e13i | −0.570197 | − | 0.329204i | ||||
\(502\) | −2.31011e13 | − | 1.33375e13i | −0.724628 | − | 0.418364i | ||||
\(503\) | −2.04601e13 | − | 1.18126e13i | −0.635430 | − | 0.366866i | 0.147422 | − | 0.989074i | \(-0.452903\pi\) |
−0.782852 | + | 0.622208i | \(0.786236\pi\) | |||||||
\(504\) | 1.09369e13 | + | 1.89432e13i | 0.336310 | + | 0.582506i | ||||
\(505\) | 4.17402e11i | 0.0127086i | ||||||||
\(506\) | −5.63302e12 | + | 3.25223e12i | −0.169820 | + | 0.0980457i | ||||
\(507\) | 7.07346e13 | + | 4.08386e13i | 2.11150 | + | 1.21908i | ||||
\(508\) | −2.14555e13 | −0.634192 | ||||||||
\(509\) | −8.25169e12 | + | 1.42923e13i | −0.241521 | + | 0.418326i | −0.961148 | − | 0.276035i | \(-0.910979\pi\) |
0.719627 | + | 0.694361i | \(0.244313\pi\) | |||||||
\(510\) | 2.13073e14 | − | 1.23018e14i | 6.17559 | − | 3.56548i | ||||
\(511\) | −1.62361e12 | − | 2.81217e12i | −0.0465990 | − | 0.0807118i | ||||
\(512\) | − | 3.41182e13i | − | 0.969697i | ||||||
\(513\) | −1.76528e12 | − | 3.05756e12i | −0.0496852 | − | 0.0860573i | ||||
\(514\) | −1.36008e13 | −0.379095 | ||||||||
\(515\) | 1.18098e14i | 3.25991i | ||||||||
\(516\) | −5.20230e13 | − | 4.93141e13i | −1.42216 | − | 1.34810i | ||||
\(517\) | −8.69554e12 | −0.235420 | ||||||||
\(518\) | 7.60872e13i | 2.04015i | ||||||||
\(519\) | 7.13685e13 | − | 4.12046e13i | 1.89526 | − | 1.09423i | ||||
\(520\) | 6.23405e13 | 1.63966 | ||||||||
\(521\) | −4.14819e13 | + | 2.39496e13i | −1.08061 | + | 0.623892i | −0.931061 | − | 0.364862i | \(-0.881116\pi\) |
−0.149551 | + | 0.988754i | \(0.547783\pi\) | |||||||
\(522\) | −3.25270e13 | − | 5.63384e13i | −0.839250 | − | 1.45362i | ||||
\(523\) | 4.74942e13 | + | 2.74208e13i | 1.21376 | + | 0.700764i | 0.963576 | − | 0.267435i | \(-0.0861761\pi\) |
0.250182 | + | 0.968199i | \(0.419509\pi\) | |||||||
\(524\) | 3.03229e13i | 0.767564i | ||||||||
\(525\) | −7.48854e13 | + | 1.29705e14i | −1.87759 | + | 3.25208i | ||||
\(526\) | −4.29740e13 | − | 7.44332e13i | −1.06728 | − | 1.84858i | ||||
\(527\) | 8.16257e13 | 2.00805 | ||||||||
\(528\) | 1.32576e13 | − | 7.65428e12i | 0.323069 | − | 0.186524i | ||||
\(529\) | 1.93817e13 | − | 3.35701e13i | 0.467858 | − | 0.810354i | ||||
\(530\) | −3.79977e13 | + | 6.58139e13i | −0.908610 | + | 1.57376i | ||||
\(531\) | 2.64511e13 | − | 4.58147e13i | 0.626573 | − | 1.08526i | ||||
\(532\) | 5.53418e13 | 1.29866 | ||||||||
\(533\) | −1.70901e13 | + | 2.96008e13i | −0.397290 | + | 0.688126i | ||||
\(534\) | 3.34911e13 | + | 1.93361e13i | 0.771299 | + | 0.445310i | ||||
\(535\) | −5.03698e13 | + | 2.90810e13i | −1.14921 | + | 0.663500i | ||||
\(536\) | 1.06084e13 | − | 6.12477e12i | 0.239787 | − | 0.138441i | ||||
\(537\) | −4.24228e13 | −0.950010 | ||||||||
\(538\) | 1.20161e13i | 0.266596i | ||||||||
\(539\) | 3.18656e12 | + | 5.51929e12i | 0.0700453 | + | 0.121322i | ||||
\(540\) | 6.65818e12 | + | 1.15323e13i | 0.145006 | + | 0.251158i | ||||
\(541\) | 3.00998e13 | − | 5.21345e13i | 0.649498 | − | 1.12496i | −0.333745 | − | 0.942663i | \(-0.608312\pi\) |
0.983243 | − | 0.182300i | \(-0.0583543\pi\) | |||||||
\(542\) | 8.24779e13 | + | 4.76187e13i | 1.76336 | + | 1.01808i | ||||
\(543\) | 4.54997e13i | 0.963851i | ||||||||
\(544\) | −9.78210e13 | − | 5.64770e13i | −2.05323 | − | 1.18543i | ||||
\(545\) | −8.18259e13 | − | 4.72422e13i | −1.70180 | − | 0.982534i | ||||
\(546\) | −1.72638e14 | − | 9.96727e13i | −3.55774 | − | 2.05406i | ||||
\(547\) | 4.42759e12 | + | 7.66882e12i | 0.0904130 | + | 0.156600i | 0.907685 | − | 0.419652i | \(-0.137848\pi\) |
−0.817272 | + | 0.576252i | \(0.804515\pi\) | |||||||
\(548\) | − | 6.45863e12i | − | 0.130689i | ||||||
\(549\) | 1.88803e13 | − | 1.09005e13i | 0.378571 | − | 0.218568i | ||||
\(550\) | −7.76080e13 | − | 4.48070e13i | −1.54203 | − | 0.890292i | ||||
\(551\) | −4.34116e13 | −0.854768 | ||||||||
\(552\) | −5.15671e12 | + | 8.93168e12i | −0.100618 | + | 0.174276i | ||||
\(553\) | −2.92892e12 | + | 1.69101e12i | −0.0566347 | + | 0.0326980i | ||||
\(554\) | 4.55275e13 | + | 7.88559e13i | 0.872418 | + | 1.51107i | ||||
\(555\) | 1.62229e14i | 3.08080i | ||||||||
\(556\) | 2.44659e13 | + | 4.23761e13i | 0.460454 | + | 0.797530i | ||||
\(557\) | 3.35304e13 | 0.625406 | 0.312703 | − | 0.949851i | \(-0.398765\pi\) | ||||
0.312703 | + | 0.949851i | \(0.398765\pi\) | |||||||
\(558\) | 1.01854e14i | 1.88281i | ||||||||
\(559\) | 8.70605e13 | + | 2.08511e13i | 1.59501 | + | 0.382006i | ||||
\(560\) | 5.80910e13 | 1.05480 | ||||||||
\(561\) | − | 7.15112e13i | − | 1.28694i | ||||||
\(562\) | −1.21068e14 | + | 6.98987e13i | −2.15948 | + | 1.24677i | ||||
\(563\) | 4.14631e13 | 0.733026 | 0.366513 | − | 0.930413i | \(-0.380552\pi\) | ||||
0.366513 | + | 0.930413i | \(0.380552\pi\) | |||||||
\(564\) | −4.52708e13 | + | 2.61371e13i | −0.793272 | + | 0.457996i | ||||
\(565\) | −1.71785e13 | − | 2.97540e13i | −0.298361 | − | 0.516776i | ||||
\(566\) | 1.19521e14 | + | 6.90054e13i | 2.05760 | + | 1.18796i | ||||
\(567\) | 6.04181e13i | 1.03098i | ||||||||
\(568\) | 1.89584e13 | − | 3.28370e13i | 0.320672 | − | 0.555420i | ||||
\(569\) | −5.38636e13 | − | 9.32945e13i | −0.903096 | − | 1.56421i | −0.823453 | − | 0.567385i | \(-0.807955\pi\) |
−0.0796437 | − | 0.996823i | \(-0.525378\pi\) | |||||||
\(570\) | 2.04871e14 | 3.40492 | ||||||||
\(571\) | 3.55266e13 | − | 2.05113e13i | 0.585293 | − | 0.337919i | −0.177941 | − | 0.984041i | \(-0.556944\pi\) |
0.763234 | + | 0.646122i | \(0.223610\pi\) | |||||||
\(572\) | 3.43490e13 | − | 5.94942e13i | 0.560963 | − | 0.971616i | ||||
\(573\) | −9.76156e12 | + | 1.69075e13i | −0.158032 | + | 0.273720i | ||||
\(574\) | 2.62048e13 | − | 4.53880e13i | 0.420553 | − | 0.728419i | ||||
\(575\) | −3.66899e13 | −0.583723 | ||||||||
\(576\) | 5.28712e13 | − | 9.15755e13i | 0.833886 | − | 1.44433i | ||||
\(577\) | 3.04000e13 | + | 1.75514e13i | 0.475329 | + | 0.274431i | 0.718468 | − | 0.695560i | \(-0.244844\pi\) |
−0.243139 | + | 0.969991i | \(0.578177\pi\) | |||||||
\(578\) | −1.83354e14 | + | 1.05860e14i | −2.84218 | + | 1.64093i | ||||
\(579\) | 2.70270e13 | − | 1.56040e13i | 0.415341 | − | 0.239797i | ||||
\(580\) | 1.63737e14 | 2.49464 | ||||||||
\(581\) | 6.70253e13i | 1.01241i | ||||||||
\(582\) | −1.18061e14 | − | 2.04487e14i | −1.76804 | − | 3.06233i | ||||
\(583\) | 1.10441e13 | + | 1.91290e13i | 0.163979 | + | 0.284021i | ||||
\(584\) | 1.54036e12 | − | 2.66798e12i | 0.0226755 | − | 0.0392751i | ||||
\(585\) | −1.91246e14 | − | 1.10416e14i | −2.79135 | − | 1.61159i | ||||
\(586\) | 7.69189e13i | 1.11313i | ||||||||
\(587\) | −3.75558e13 | − | 2.16828e13i | −0.538873 | − | 0.311118i | 0.205749 | − | 0.978605i | \(-0.434037\pi\) |
−0.744622 | + | 0.667486i | \(0.767370\pi\) | |||||||
\(588\) | 3.31798e13 | + | 1.91564e13i | 0.472049 | + | 0.272538i | ||||
\(589\) | 5.88627e13 | + | 3.39844e13i | 0.830355 | + | 0.479406i | ||||
\(590\) | 1.15592e14 | + | 2.00212e14i | 1.61685 | + | 2.80046i | ||||
\(591\) | − | 1.20700e14i | − | 1.67406i | ||||||
\(592\) | 3.79914e13 | − | 2.19343e13i | 0.522488 | − | 0.301659i | ||||
\(593\) | −1.07908e13 | − | 6.23005e12i | −0.147156 | − | 0.0849606i | 0.424614 | − | 0.905374i | \(-0.360410\pi\) |
−0.571770 | + | 0.820414i | \(0.693743\pi\) | |||||||
\(594\) | 6.72004e12 | 0.0908740 | ||||||||
\(595\) | 1.35681e14 | − | 2.35006e14i | 1.81942 | − | 3.15133i | ||||
\(596\) | −6.74792e13 | + | 3.89592e13i | −0.897303 | + | 0.518058i | ||||
\(597\) | 4.08310e13 | + | 7.07214e13i | 0.538416 | + | 0.932565i | ||||
\(598\) | − | 4.88344e13i | − | 0.638586i | ||||||
\(599\) | −2.30690e13 | − | 3.99567e13i | −0.299154 | − | 0.518149i | 0.676789 | − | 0.736177i | \(-0.263371\pi\) |
−0.975943 | + | 0.218028i | \(0.930038\pi\) | |||||||
\(600\) | −1.42091e14 | −1.82731 | ||||||||
\(601\) | 3.94887e13i | 0.503617i | 0.967777 | + | 0.251809i | \(0.0810254\pi\) | ||||
−0.967777 | + | 0.251809i | \(0.918975\pi\) | |||||||
\(602\) | −1.33493e14 | − | 3.19717e13i | −1.68840 | − | 0.404374i | ||||
\(603\) | −4.33922e13 | −0.544284 | ||||||||
\(604\) | 5.00382e13i | 0.622468i | ||||||||
\(605\) | 9.52049e13 | − | 5.49666e13i | 1.17458 | − | 0.678144i | ||||
\(606\) | 1.26629e12 | 0.0154942 | ||||||||
\(607\) | −6.95184e13 | + | 4.01365e13i | −0.843638 | + | 0.487075i | −0.858499 | − | 0.512815i | \(-0.828603\pi\) |
0.0148609 | + | 0.999890i | \(0.495269\pi\) | |||||||
\(608\) | −4.70278e13 | − | 8.14545e13i | −0.566026 | − | 0.980386i | ||||
\(609\) | −1.19596e14 | − | 6.90486e13i | −1.42767 | − | 0.824268i | ||||
\(610\) | 9.52714e13i | 1.12801i | ||||||||
\(611\) | 3.26424e13 | − | 5.65382e13i | 0.383332 | − | 0.663951i | ||||
\(612\) | −1.11679e14 | − | 1.93434e14i | −1.30082 | − | 2.25308i | ||||
\(613\) | −8.92083e13 | −1.03063 | −0.515315 | − | 0.857001i | \(-0.672325\pi\) | ||||
−0.515315 | + | 0.857001i | \(0.672325\pi\) | |||||||
\(614\) | −1.51702e14 | + | 8.75851e13i | −1.73840 | + | 1.00366i | ||||
\(615\) | 5.58724e13 | − | 9.67739e13i | 0.635070 | − | 1.09997i | ||||
\(616\) | −1.38916e13 | + | 2.40610e13i | −0.156621 | + | 0.271275i | ||||
\(617\) | −1.50516e13 | + | 2.60702e13i | −0.168329 | + | 0.291554i | −0.937832 | − | 0.347089i | \(-0.887170\pi\) |
0.769504 | + | 0.638642i | \(0.220504\pi\) | |||||||
\(618\) | 3.58277e14 | 3.97445 | ||||||||
\(619\) | −7.30482e13 | + | 1.26523e14i | −0.803815 | + | 1.39225i | 0.113273 | + | 0.993564i | \(0.463866\pi\) |
−0.917088 | + | 0.398684i | \(0.869467\pi\) | |||||||
\(620\) | −2.22015e14 | − | 1.28180e14i | −2.42339 | − | 1.39915i | ||||
\(621\) | 2.38272e12 | − | 1.37566e12i | 0.0257997 | − | 0.0148955i | ||||
\(622\) | 2.18424e13 | − | 1.26107e13i | 0.234612 | − | 0.135453i | ||||
\(623\) | 4.26529e13 | 0.454473 | ||||||||
\(624\) | 1.14934e14i | 1.21486i | ||||||||
\(625\) | −9.52799e13 | − | 1.65030e14i | −0.999082 | − | 1.73046i | ||||
\(626\) | −7.46801e13 | − | 1.29350e14i | −0.776843 | − | 1.34553i | ||||
\(627\) | 2.97733e13 | − | 5.15689e13i | 0.307248 | − | 0.532169i | ||||
\(628\) | −1.71986e14 | − | 9.92963e13i | −1.76074 | − | 1.01656i | ||||
\(629\) | − | 2.04924e14i | − | 2.08133i | ||||||
\(630\) | 2.93245e14 | + | 1.69305e14i | 2.95479 | + | 1.70595i | ||||
\(631\) | −2.41973e13 | − | 1.39703e13i | −0.241891 | − | 0.139656i | 0.374155 | − | 0.927366i | \(-0.377933\pi\) |
−0.616046 | + | 0.787711i | \(0.711266\pi\) | |||||||
\(632\) | −2.77874e12 | − | 1.60431e12i | −0.0275590 | − | 0.0159112i | ||||
\(633\) | −2.62117e13 | − | 4.54000e13i | −0.257915 | − | 0.446722i | ||||
\(634\) | 1.38705e14i | 1.35409i | ||||||||
\(635\) | −7.58662e13 | + | 4.38014e13i | −0.734818 | + | 0.424247i | ||||
\(636\) | 1.14996e14 | + | 6.63930e13i | 1.10509 | + | 0.638024i | ||||
\(637\) | −4.78484e13 | −0.456216 | ||||||||
\(638\) | 4.13146e13 | − | 7.15591e13i | 0.390841 | − | 0.676957i | ||||
\(639\) | −1.16320e14 | + | 6.71576e13i | −1.09182 | + | 0.630363i | ||||
\(640\) | 1.00456e14 | + | 1.73995e14i | 0.935571 | + | 1.62046i | ||||
\(641\) | − | 4.93145e13i | − | 0.455706i | −0.973696 | − | 0.227853i | \(-0.926829\pi\) | ||
0.973696 | − | 0.227853i | \(-0.0731705\pi\) | |||||||
\(642\) | 8.82239e13 | + | 1.52808e14i | 0.808930 | + | 1.40111i | ||||
\(643\) | −8.61585e13 | −0.783869 | −0.391934 | − | 0.919993i | \(-0.628194\pi\) | ||||
−0.391934 | + | 0.919993i | \(0.628194\pi\) | |||||||
\(644\) | 4.31272e13i | 0.389334i | ||||||||
\(645\) | −2.84626e14 | − | 6.81684e13i | −2.54963 | − | 0.610639i | ||||
\(646\) | −2.58789e14 | −2.30030 | ||||||||
\(647\) | − | 5.40149e13i | − | 0.476422i | −0.971213 | − | 0.238211i | \(-0.923439\pi\) | ||
0.971213 | − | 0.238211i | \(-0.0765610\pi\) | |||||||
\(648\) | −4.96407e13 | + | 2.86601e13i | −0.434473 | + | 0.250843i | ||||
\(649\) | 6.71946e13 | 0.583594 | ||||||||
\(650\) | 5.82668e14 | − | 3.36404e14i | 5.02174 | − | 2.89930i | ||||
\(651\) | 1.08108e14 | + | 1.87249e14i | 0.924600 | + | 1.60145i | ||||
\(652\) | 7.15295e13 | + | 4.12976e13i | 0.607082 | + | 0.350499i | ||||
\(653\) | 1.96151e14i | 1.65205i | 0.563631 | + | 0.826027i | \(0.309404\pi\) | ||||
−0.563631 | + | 0.826027i | \(0.690596\pi\) | |||||||
\(654\) | −1.43320e14 | + | 2.48238e14i | −1.19789 | + | 2.07481i | ||||
\(655\) | 6.19041e13 | + | 1.07221e14i | 0.513467 | + | 0.889351i | ||||
\(656\) | −3.02171e13 | −0.248733 | ||||||||
\(657\) | −9.45092e12 | + | 5.45649e12i | −0.0772054 | + | 0.0445745i | ||||
\(658\) | −5.00516e13 | + | 8.66920e13i | −0.405778 | + | 0.702829i | ||||
\(659\) | 3.42883e13 | − | 5.93890e13i | 0.275879 | − | 0.477836i | −0.694478 | − | 0.719514i | \(-0.744364\pi\) |
0.970357 | + | 0.241678i | \(0.0776978\pi\) | |||||||
\(660\) | −1.12297e14 | + | 1.94504e14i | −0.896703 | + | 1.55314i | ||||
\(661\) | −7.81938e13 | −0.619677 | −0.309838 | − | 0.950789i | \(-0.600275\pi\) | ||||
−0.309838 | + | 0.950789i | \(0.600275\pi\) | |||||||
\(662\) | −7.69349e13 | + | 1.33255e14i | −0.605109 | + | 1.04808i | ||||
\(663\) | 4.64964e14 | + | 2.68447e14i | 3.62954 | + | 2.09552i | ||||
\(664\) | −5.50694e13 | + | 3.17943e13i | −0.426648 | + | 0.246325i | ||||
\(665\) | 1.95687e14 | − | 1.12980e14i | 1.50471 | − | 0.868747i | ||||
\(666\) | 2.55708e14 | 1.95152 | ||||||||
\(667\) | − | 3.38302e13i | − | 0.256257i | ||||||
\(668\) | −4.12233e13 | − | 7.14008e13i | −0.309928 | − | 0.536810i | ||||
\(669\) | 1.02958e13 | + | 1.78329e13i | 0.0768298 | + | 0.133073i | ||||
\(670\) | 9.48127e13 | − | 1.64220e14i | 0.702251 | − | 1.21633i | ||||
\(671\) | 2.39811e13 | + | 1.38455e13i | 0.176302 | + | 0.101788i | ||||
\(672\) | − | 2.99201e14i | − | 2.18332i | ||||||
\(673\) | 5.67946e13 | + | 3.27904e13i | 0.411369 | + | 0.237504i | 0.691378 | − | 0.722494i | \(-0.257004\pi\) |
−0.280009 | + | 0.959997i | \(0.590337\pi\) | |||||||
\(674\) | 7.90793e13 | + | 4.56565e13i | 0.568543 | + | 0.328249i | ||||
\(675\) | 3.28275e13 | + | 1.89530e13i | 0.234271 | + | 0.135257i | ||||
\(676\) | 1.62017e14 | + | 2.80622e14i | 1.14770 | + | 1.98787i | ||||
\(677\) | − | 2.96106e13i | − | 0.208211i | −0.994566 | − | 0.104105i | \(-0.966802\pi\) | ||
0.994566 | − | 0.104105i | \(-0.0331979\pi\) | |||||||
\(678\) | −9.02655e13 | + | 5.21148e13i | −0.630047 | + | 0.363758i | ||||
\(679\) | −2.25537e14 | − | 1.30214e14i | −1.56267 | − | 0.902210i | ||||
\(680\) | 2.57448e14 | 1.77070 | ||||||||
\(681\) | −1.57882e14 | + | 2.73460e14i | −1.07795 | + | 1.86706i | ||||
\(682\) | −1.12039e14 | + | 6.46856e13i | −0.759358 | + | 0.438415i | ||||
\(683\) | 7.17327e13 | + | 1.24245e14i | 0.482630 | + | 0.835939i | 0.999801 | − | 0.0199429i | \(-0.00634844\pi\) |
−0.517172 | + | 0.855882i | \(0.673015\pi\) | |||||||
\(684\) | − | 1.85989e14i | − | 1.24224i | ||||||
\(685\) | −1.31853e13 | − | 2.28376e13i | −0.0874251 | − | 0.151425i | ||||
\(686\) | −1.90392e14 | −1.25322 | ||||||||
\(687\) | − | 3.40495e14i | − | 2.22498i | ||||||
\(688\) | 2.25192e13 | + | 7.58716e13i | 0.146087 | + | 0.492195i | ||||
\(689\) | −1.65835e14 | −1.06802 | ||||||||
\(690\) | 1.59654e14i | 1.02078i | ||||||||
\(691\) | −5.78603e12 | + | 3.34056e12i | −0.0367274 | + | 0.0212046i | −0.518251 | − | 0.855228i | \(-0.673417\pi\) |
0.481524 | + | 0.876433i | \(0.340083\pi\) | |||||||
\(692\) | 3.26938e14 | 2.06032 | ||||||||
\(693\) | 8.52325e13 | − | 4.92090e13i | 0.533260 | − | 0.307878i | ||||
\(694\) | −5.75559e13 | − | 9.96897e13i | −0.357514 | − | 0.619232i | ||||
\(695\) | 1.73021e14 | + | 9.98939e13i | 1.06703 | + | 0.616048i | ||||
\(696\) | − | 1.31016e14i | − | 0.802194i | ||||||
\(697\) | −7.05769e13 | + | 1.22243e14i | −0.429041 | + | 0.743120i | ||||
\(698\) | −1.55064e14 | − | 2.68579e14i | −0.935910 | − | 1.62104i | ||||
\(699\) | −3.90825e14 | −2.34205 | ||||||||
\(700\) | −5.14573e14 | + | 2.97089e14i | −3.06166 | + | 1.76765i | ||||
\(701\) | −1.06799e14 | + | 1.84981e14i | −0.630923 | + | 1.09279i | 0.356440 | + | 0.934318i | \(0.383990\pi\) |
−0.987363 | + | 0.158473i | \(0.949343\pi\) | |||||||
\(702\) | −2.52265e13 | + | 4.36935e13i | −0.147969 | + | 0.256290i | ||||
\(703\) | 8.53192e13 | − | 1.47777e14i | 0.496901 | − | 0.860658i | ||||
\(704\) | 1.34310e14 | 0.776686 | ||||||||
\(705\) | −1.06717e14 | + | 1.84840e14i | −0.612759 | + | 1.06133i | ||||
\(706\) | 1.35227e14 | + | 7.80736e13i | 0.770976 | + | 0.445123i | ||||
\(707\) | 1.20952e12 | − | 6.98316e11i | 0.00684724 | − | 0.00395325i | ||||
\(708\) | 3.49829e14 | − | 2.01974e14i | 1.96648 | − | 1.13535i | ||||
\(709\) | 1.60369e14 | 0.895136 | 0.447568 | − | 0.894250i | \(-0.352290\pi\) | ||||
0.447568 | + | 0.894250i | \(0.352290\pi\) | |||||||
\(710\) | − | 5.86961e14i | − | 3.25325i | ||||||
\(711\) | 5.68303e12 | + | 9.84330e12i | 0.0312775 | + | 0.0541742i | ||||
\(712\) | 2.02329e13 | + | 3.50445e13i | 0.110576 | + | 0.191522i | ||||
\(713\) | −2.64837e13 | + | 4.58711e13i | −0.143724 | + | 0.248938i | ||||
\(714\) | −7.12945e14 | − | 4.11619e14i | −3.84207 | − | 2.21822i | ||||
\(715\) | − | 2.80493e14i | − | 1.50104i | ||||||
\(716\) | −1.45754e14 | − | 8.41509e13i | −0.774559 | − | 0.447192i | ||||
\(717\) | 1.52309e14 | + | 8.79355e13i | 0.803765 | + | 0.464054i | ||||
\(718\) | 4.29670e14 | + | 2.48070e14i | 2.25171 | + | 1.30003i | ||||
\(719\) | −1.03824e14 | − | 1.79829e14i | −0.540324 | − | 0.935868i | −0.998885 | − | 0.0472055i | \(-0.984968\pi\) |
0.458561 | − | 0.888663i | \(-0.348365\pi\) | |||||||
\(720\) | − | 1.95228e14i | − | 1.00897i | ||||||
\(721\) | 3.42216e14 | − | 1.97578e14i | 1.75640 | − | 1.01406i | ||||
\(722\) | 7.43014e13 | + | 4.28980e13i | 0.378714 | + | 0.218651i | ||||
\(723\) | −2.31765e14 | −1.17316 | ||||||||
\(724\) | −9.02544e13 | + | 1.56325e14i | −0.453707 | + | 0.785843i | ||||
\(725\) | 4.03645e14 | − | 2.33045e14i | 2.01516 | − | 1.16345i | ||||
\(726\) | −1.66754e14 | − | 2.88826e14i | −0.826785 | − | 1.43203i | ||||
\(727\) | 2.67205e14i | 1.31575i | 0.753129 | + | 0.657873i | \(0.228543\pi\) | ||||
−0.753129 | + | 0.657873i | \(0.771457\pi\) | |||||||
\(728\) | −1.04296e14 | − | 1.80646e14i | −0.510047 | − | 0.883427i | ||||
\(729\) | 2.37951e14 | 1.15571 | ||||||||
\(730\) | − | 4.76901e13i | − | 0.230046i | ||||||
\(731\) | 3.59534e14 | + | 8.61089e13i | 1.72248 | + | 0.412535i | ||||
\(732\) | 1.66467e14 | 0.792088 | ||||||||
\(733\) | − | 2.71414e14i | − | 1.28266i | −0.767264 | − | 0.641332i | \(-0.778382\pi\) | ||
0.767264 | − | 0.641332i | \(-0.221618\pi\) | |||||||
\(734\) | 7.58828e13 | − | 4.38110e13i | 0.356175 | − | 0.205638i | ||||
\(735\) | 1.56430e14 | 0.729264 | ||||||||
\(736\) | 6.34765e13 | − | 3.66482e13i | 0.293917 | − | 0.169693i | ||||
\(737\) | −2.75576e13 | − | 4.77312e13i | −0.126737 | − | 0.219515i | ||||
\(738\) | −1.52537e14 | − | 8.80670e13i | −0.696774 | − | 0.402283i | ||||
\(739\) | − | 1.12120e14i | − | 0.508699i | −0.967112 | − | 0.254349i | \(-0.918139\pi\) | ||
0.967112 | − | 0.254349i | \(-0.0818613\pi\) | |||||||
\(740\) | −3.21802e14 | + | 5.57377e14i | −1.45021 | + | 2.51183i | ||||
\(741\) | 2.23533e14 | + | 3.87170e14i | 1.00058 | + | 1.73305i | ||||
\(742\) | 2.54281e14 | 1.13056 | ||||||||
\(743\) | 1.94749e14 | − | 1.12438e14i | 0.860065 | − | 0.496559i | −0.00396893 | − | 0.999992i | \(-0.501263\pi\) |
0.864034 | + | 0.503433i | \(0.167930\pi\) | |||||||
\(744\) | −1.02565e14 | + | 1.77648e14i | −0.449919 | + | 0.779283i | ||||
\(745\) | −1.59070e14 | + | 2.75517e14i | −0.693117 | + | 1.20051i | ||||
\(746\) | 3.31252e14 | − | 5.73746e14i | 1.43372 | − | 2.48328i | ||||
\(747\) | 2.25254e14 | 0.968431 | ||||||||
\(748\) | 1.41851e14 | − | 2.45694e14i | 0.605794 | − | 1.04927i | ||||
\(749\) | 1.68538e14 | + | 9.73053e13i | 0.714970 | + | 0.412788i | ||||
\(750\) | −1.07751e15 | + | 6.22098e14i | −4.54060 | + | 2.62152i | ||||
\(751\) | −8.04386e13 | + | 4.64412e13i | −0.336717 | + | 0.194404i | −0.658819 | − | 0.752301i | \(-0.728944\pi\) |
0.322102 | + | 0.946705i | \(0.395610\pi\) | |||||||
\(752\) | 5.77153e13 | 0.239995 | ||||||||
\(753\) | 1.90304e14i | 0.786090i | ||||||||
\(754\) | 3.10183e14 | + | 5.37253e14i | 1.27281 | + | 2.20456i | ||||
\(755\) | 1.02153e14 | + | 1.76934e14i | 0.416405 | + | 0.721234i | ||||
\(756\) | 2.22783e13 | − | 3.85872e13i | 0.0902139 | − | 0.156255i | ||||
\(757\) | −3.91784e14 | − | 2.26196e14i | −1.57604 | − | 0.909927i | −0.995404 | − | 0.0957623i | \(-0.969471\pi\) |
−0.580635 | − | 0.814164i | \(-0.697196\pi\) | |||||||
\(758\) | 8.81276e13i | 0.352181i | ||||||||
\(759\) | 4.01870e13 | + | 2.32020e13i | 0.159543 | + | 0.0921120i | ||||
\(760\) | 1.85653e14 | + | 1.07187e14i | 0.732208 | + | 0.422741i | ||||
\(761\) | −7.42669e13 | − | 4.28780e13i | −0.290986 | − | 0.168001i | 0.347400 | − | 0.937717i | \(-0.387064\pi\) |
−0.638386 | + | 0.769716i | \(0.720398\pi\) | |||||||
\(762\) | 1.32882e14 | + | 2.30158e14i | 0.517237 | + | 0.895881i | ||||
\(763\) | 3.16146e14i | 1.22254i | ||||||||
\(764\) | −6.70763e13 | + | 3.87265e13i | −0.257693 | + | 0.148779i | ||||
\(765\) | −7.89791e14 | − | 4.55986e14i | −3.01443 | − | 1.74038i | ||||
\(766\) | 4.59839e14 | 1.74366 | ||||||||
\(767\) | −2.52243e14 | + | 4.36898e14i | −0.950260 | + | 1.64590i | ||||
\(768\) | 1.30384e13 | − | 7.52774e12i | 0.0487999 | − | 0.0281746i | ||||
\(769\) | −2.79331e13 | − | 4.83816e13i | −0.103870 | − | 0.179907i | 0.809406 | − | 0.587249i | \(-0.199789\pi\) |
−0.913276 | + | 0.407342i | \(0.866456\pi\) | |||||||
\(770\) | 4.30090e14i | 1.58893i | ||||||||
\(771\) | 4.85152e13 | + | 8.40307e13i | 0.178076 | + | 0.308437i | ||||
\(772\) | 1.23810e14 | 0.451512 | ||||||||
\(773\) | 4.22071e13i | 0.152928i | 0.997072 | + | 0.0764642i | \(0.0243631\pi\) | ||||
−0.997072 | + | 0.0764642i | \(0.975637\pi\) | |||||||
\(774\) | −1.07448e14 | + | 4.48633e14i | −0.386807 | + | 1.61505i | ||||
\(775\) | −7.29748e14 | −2.61014 | ||||||||
\(776\) | − | 2.47074e14i | − | 0.878048i | ||||||
\(777\) | 4.70096e14 | − | 2.71410e14i | 1.65990 | − | 0.958342i | ||||
\(778\) | 2.65376e13 | 0.0931031 | ||||||||
\(779\) | −1.01790e14 | + | 5.87686e13i | −0.354829 | + | 0.204860i | ||||
\(780\) | −8.43107e14 | − | 1.46031e15i | −2.92018 | − | 5.05790i | ||||
\(781\) | −1.47746e14 | − | 8.53011e13i | −0.508464 | − | 0.293562i | ||||
\(782\) | − | 2.01672e14i | − | 0.689622i | ||||||
\(783\) | −1.74757e13 | + | 3.02688e13i | −0.0593781 | + | 0.102846i | ||||
\(784\) | −2.11503e13 | − | 3.66334e13i | −0.0714063 | − | 0.123679i | ||||
\(785\) | −8.10851e14 | −2.72015 | ||||||||
\(786\) | 3.25279e14 | − | 1.87800e14i | 1.08429 | − | 0.626013i | ||||
\(787\) | −2.33211e14 | + | 4.03933e14i | −0.772458 | + | 1.33794i | 0.163754 | + | 0.986501i | \(0.447640\pi\) |
−0.936212 | + | 0.351436i | \(0.885694\pi\) | |||||||
\(788\) | 2.39423e14 | − | 4.14694e14i | 0.788017 | − | 1.36489i | ||||
\(789\) | −3.06585e14 | + | 5.31020e14i | −1.00269 | + | 1.73670i | ||||
\(790\) | −4.96701e13 | −0.161421 | ||||||||
\(791\) | −5.74793e13 | + | 9.95570e13i | −0.185622 | + | 0.321506i | ||||
\(792\) | 8.08623e13 | + | 4.66859e13i | 0.259490 | + | 0.149816i | ||||
\(793\) | −1.80046e14 | + | 1.03950e14i | −0.574140 | + | 0.331480i | ||||
\(794\) | −3.09347e14 | + | 1.78602e14i | −0.980266 | + | 0.565957i | ||||
\(795\) | 5.42164e14 | 1.70724 | ||||||||
\(796\) | 3.23973e14i | 1.01378i | ||||||||
\(797\) | −1.98604e14 | − | 3.43992e14i | −0.617584 | − | 1.06969i | −0.989925 | − | 0.141591i | \(-0.954778\pi\) |
0.372342 | − | 0.928096i | \(-0.378555\pi\) | |||||||
\(798\) | −3.42751e14 | − | 5.93662e14i | −1.05917 | − | 1.83453i | ||||
\(799\) | 1.34803e14 | − | 2.33486e14i | 0.413968 | − | 0.717013i | ||||
\(800\) | 8.74537e14 | + | 5.04914e14i | 2.66888 | + | 1.54088i | ||||
\(801\) | − | 1.43345e14i | − | 0.434729i | ||||||
\(802\) | −1.06513e14 | − | 6.14951e13i | −0.321018 | − | 0.185340i | ||||
\(803\) | −1.20042e13 | − | 6.93064e12i | −0.0359548 | − | 0.0207585i | ||||
\(804\) | −2.86941e14 | − | 1.65666e14i | −0.854108 | − | 0.493119i | ||||
\(805\) | 8.80440e13 | + | 1.52497e14i | 0.260448 | + | 0.451109i | ||||
\(806\) | − | 9.71298e14i | − | 2.85547i | ||||||
\(807\) | 7.42403e13 | − | 4.28627e13i | 0.216906 | − | 0.125231i | ||||
\(808\) | 1.14750e12 | + | 6.62510e11i | 0.00333193 | + | 0.00192369i | ||||
\(809\) | 4.39323e14 | 1.26777 | 0.633886 | − | 0.773427i | \(-0.281459\pi\) | ||||
0.633886 | + | 0.773427i | \(0.281459\pi\) | |||||||
\(810\) | −4.43664e14 | + | 7.68449e14i | −1.27242 | + | 2.20389i | ||||
\(811\) | 3.53154e14 | − | 2.03894e14i | 1.00661 | − | 0.581165i | 0.0964113 | − | 0.995342i | \(-0.469264\pi\) |
0.910197 | + | 0.414176i | \(0.135930\pi\) | |||||||
\(812\) | −2.73933e14 | − | 4.74466e14i | −0.776005 | − | 1.34408i | ||||
\(813\) | − | 6.79440e14i | − | 1.91293i | ||||||
\(814\) | 1.62396e14 | + | 2.81278e14i | 0.454415 | + | 0.787070i | ||||
\(815\) | 3.37235e14 | 0.937875 | ||||||||
\(816\) | 4.74644e14i | 1.31195i | ||||||||
\(817\) | 2.23420e14 | + | 2.11786e14i | 0.613778 | + | 0.581817i | ||||
\(818\) | −8.40663e14 | −2.29538 | ||||||||
\(819\) | 7.38907e14i | 2.00526i | ||||||||
\(820\) | 3.83926e14 | − | 2.21660e14i | 1.03557 | − | 0.597885i | ||||
\(821\) | −3.49747e14 | −0.937646 | −0.468823 | − | 0.883292i | \(-0.655322\pi\) | ||||
−0.468823 | + | 0.883292i | \(0.655322\pi\) | |||||||
\(822\) | −6.92829e13 | + | 4.00005e13i | −0.184615 | + | 0.106588i | ||||
\(823\) | −2.38946e14 | − | 4.13866e14i | −0.632849 | − | 1.09613i | −0.986967 | − | 0.160926i | \(-0.948552\pi\) |
0.354117 | − | 0.935201i | \(-0.384781\pi\) | |||||||
\(824\) | 3.24669e14 | + | 1.87447e14i | 0.854681 | + | 0.493450i | ||||
\(825\) | 6.39323e14i | 1.67282i | ||||||||
\(826\) | 3.86773e14 | − | 6.69910e14i | 1.00590 | − | 1.74227i | ||||
\(827\) | 1.79426e14 | + | 3.10775e14i | 0.463830 | + | 0.803377i | 0.999148 | − | 0.0412739i | \(-0.0131416\pi\) |
−0.535318 | + | 0.844650i | \(0.679808\pi\) | |||||||
\(828\) | 1.44939e14 | 0.372420 | ||||||||
\(829\) | −2.72159e14 | + | 1.57131e14i | −0.695104 | + | 0.401318i | −0.805521 | − | 0.592567i | \(-0.798115\pi\) |
0.110418 | + | 0.993885i | \(0.464781\pi\) | |||||||
\(830\) | −4.92183e14 | + | 8.52486e14i | −1.24950 | + | 2.16420i | ||||
\(831\) | 3.24801e14 | − | 5.62572e14i | 0.819620 | − | 1.41962i | ||||
\(832\) | −5.04189e14 | + | 8.73281e14i | −1.26467 | + | 2.19047i | ||||
\(833\) | −1.97600e14 | −0.492676 | ||||||||
\(834\) | 3.03051e14 | − | 5.24900e14i | 0.751079 | − | 1.30091i | ||||
\(835\) | −2.91529e14 | − | 1.68314e14i | −0.718206 | − | 0.414656i | ||||
\(836\) | 2.04586e14 | − | 1.18118e14i | 0.501009 | − | 0.289258i | ||||
\(837\) | 4.73914e13 | − | 2.73614e13i | 0.115365 | − | 0.0666057i | ||||
\(838\) | −3.57034e14 | −0.863952 | ||||||||
\(839\) | − | 6.37737e14i | − | 1.53402i | −0.641634 | − | 0.767011i | \(-0.721743\pi\) | ||
0.641634 | − | 0.767011i | \(-0.278257\pi\) | |||||||
\(840\) | 3.40974e14 | + | 5.90584e14i | 0.815314 | + | 1.41216i | ||||
\(841\) | 4.52705e12 | + | 7.84108e12i | 0.0107606 | + | 0.0186379i | ||||
\(842\) | −4.09333e14 | + | 7.08985e14i | −0.967199 | + | 1.67524i | ||||
\(843\) | 8.63722e14 | + | 4.98670e14i | 2.02879 | + | 1.17132i | ||||
\(844\) | − | 2.07977e14i | − | 0.485627i | ||||||
\(845\) | 1.14578e15 | + | 6.61514e14i | 2.65960 | + | 1.53552i | ||||
\(846\) | 2.91348e14 | + | 1.68210e14i | 0.672295 | + | 0.388150i | ||||
\(847\) | −3.18556e14 | − | 1.83919e14i | −0.730751 | − | 0.421899i | ||||
\(848\) | −7.33038e13 | − | 1.26966e14i | −0.167166 | − | 0.289539i | ||||
\(849\) | − | 9.84593e14i | − | 2.23212i | ||||||
\(850\) | 2.40625e15 | − | 1.38925e15i | 5.42307 | − | 3.13101i | ||||
\(851\) | 1.15161e14 | + | 6.64883e13i | 0.258023 | + | 0.148969i | ||||
\(852\) | −1.02559e15 | −2.28443 | ||||||||
\(853\) | 1.94672e14 | − | 3.37182e14i | 0.431081 | − | 0.746653i | −0.565886 | − | 0.824483i | \(-0.691466\pi\) |
0.996967 | + | 0.0778300i | \(0.0247991\pi\) | |||||||
\(854\) | 2.76071e14 | − | 1.59389e14i | 0.607758 | − | 0.350889i | ||||
\(855\) | −3.79695e14 | − | 6.57650e14i | −0.831006 | − | 1.43934i | ||||
\(856\) | 1.84632e14i | 0.401734i | ||||||||
\(857\) | −1.81672e14 | − | 3.14665e14i | −0.392992 | − | 0.680682i | 0.599850 | − | 0.800112i | \(-0.295227\pi\) |
−0.992843 | + | 0.119430i | \(0.961893\pi\) | |||||||
\(858\) | −8.50941e14 | −1.83005 | ||||||||
\(859\) | − | 6.54985e14i | − | 1.40044i | −0.713925 | − | 0.700222i | \(-0.753084\pi\) | ||
0.713925 | − | 0.700222i | \(-0.246916\pi\) | |||||||
\(860\) | −8.42681e14 | − | 7.98801e14i | −1.79131 | − | 1.69803i | ||||
\(861\) | −3.73899e14 | −0.790203 | ||||||||
\(862\) | 1.08577e15i | 2.28139i | ||||||||
\(863\) | 3.56516e14 | − | 2.05835e14i | 0.744775 | − | 0.429996i | −0.0790280 | − | 0.996872i | \(-0.525182\pi\) |
0.823803 | + | 0.566876i | \(0.191848\pi\) | |||||||
\(864\) | −7.57257e13 | −0.157280 | ||||||||
\(865\) | 1.15604e15 | − | 6.67442e14i | 2.38723 | − | 1.37827i | ||||
\(866\) | 1.20223e14 | + | 2.08233e14i | 0.246831 | + | 0.427523i | ||||
\(867\) | 1.30808e15 | + | 7.55222e14i | 2.67018 | + | 1.54163i | ||||
\(868\) | 8.57784e14i | 1.74092i | ||||||||
\(869\) | −7.21839e12 | + | 1.25026e13i | −0.0145660 | + | 0.0252291i | ||||
\(870\) | −1.01408e15 | − | 1.75644e15i | −2.03459 | − | 3.52401i | ||||
\(871\) | 4.13796e14 | 0.825459 | ||||||||
\(872\) | −2.59752e14 | + | 1.49968e14i | −0.515200 | + | 0.297451i | ||||
\(873\) | −4.37612e14 | + | 7.57966e14i | −0.863014 | + | 1.49478i | ||||
\(874\) | 8.39649e13 | − | 1.45431e14i | 0.164642 | − | 0.285168i | ||||
\(875\) | −6.86134e14 | + | 1.18842e15i | −1.33773 | + | 2.31702i | ||||
\(876\) | −8.33286e13 | −0.161538 | ||||||||
\(877\) | −4.90206e14 | + | 8.49061e14i | −0.944888 | + | 1.63659i | −0.188912 | + | 0.981994i | \(0.560496\pi\) |
−0.755976 | + | 0.654600i | \(0.772837\pi\) | |||||||
\(878\) | −2.56877e14 | − | 1.48308e14i | −0.492326 | − | 0.284244i | ||||
\(879\) | 4.75234e14 | − | 2.74377e14i | 0.905656 | − | 0.522881i | ||||
\(880\) | 2.14750e14 | − | 1.23986e14i | 0.406930 | − | 0.234941i | ||||
\(881\) | −1.02593e14 | −0.193304 | −0.0966518 | − | 0.995318i | \(-0.530813\pi\) | ||||
−0.0966518 | + | 0.995318i | \(0.530813\pi\) | |||||||
\(882\) | − | 2.46568e14i | − | 0.461949i | ||||||
\(883\) | −3.20045e14 | − | 5.54335e14i | −0.596222 | − | 1.03269i | −0.993373 | − | 0.114933i | \(-0.963335\pi\) |
0.397151 | − | 0.917753i | \(-0.369999\pi\) | |||||||
\(884\) | 1.06500e15 | + | 1.84463e15i | 1.97282 | + | 3.41702i | ||||
\(885\) | 8.24656e14 | − | 1.42835e15i | 1.51900 | − | 2.63098i | ||||
\(886\) | −2.17207e13 | − | 1.25405e13i | −0.0397837 | − | 0.0229692i | ||||
\(887\) | 8.22767e14i | 1.49851i | 0.662284 | + | 0.749253i | \(0.269587\pi\) | ||||
−0.662284 | + | 0.749253i | \(0.730413\pi\) | |||||||
\(888\) | 4.45992e14 | + | 2.57493e14i | 0.807722 | + | 0.466339i | ||||
\(889\) | 2.53849e14 | + | 1.46560e14i | 0.457158 | + | 0.263940i | ||||
\(890\) | 5.42496e14 | + | 3.13210e14i | 0.971509 | + | 0.560901i | ||||
\(891\) | 1.28953e14 | + | 2.23352e14i | 0.229637 | + | 0.397743i | ||||
\(892\) | 8.16920e13i | 0.144662i | ||||||||
\(893\) | 1.94421e14 | − | 1.12249e14i | 0.342363 | − | 0.197663i | ||||
\(894\) | 8.35844e14 | + | 4.82575e14i | 1.46365 | + | 0.845039i | ||||
\(895\) | −6.87174e14 | −1.19661 | ||||||||
\(896\) | 3.36127e14 | − | 5.82189e14i | 0.582054 | − | 1.00815i | ||||
\(897\) | −3.01717e14 | + | 1.74197e14i | −0.519563 | + | 0.299970i | ||||
\(898\) | −8.43478e14 | − | 1.46095e15i | −1.44442 | − | 2.50180i | ||||
\(899\) | − | 6.72870e14i | − | 1.14586i | ||||||
\(900\) | 9.98434e14 | + | 1.72934e15i | 1.69086 | + | 2.92865i | ||||
\(901\) | −6.84851e14 | −1.15338 | ||||||||
\(902\) | − | 2.23719e14i | − | 0.374689i | ||||||
\(903\) | 2.78648e14 | + | 9.38816e14i | 0.464105 | + | 1.56366i | ||||
\(904\) | −1.09064e14 | −0.180651 | ||||||||
\(905\) | 7.37015e14i | 1.21404i | ||||||||
\(906\) | 5.36769e14 | − | 3.09904e14i | 0.879319 | − | 0.507675i | ||||
\(907\) | −6.16189e14 | −1.00387 | −0.501935 | − | 0.864905i | \(-0.667378\pi\) | ||||
−0.501935 | + | 0.864905i | \(0.667378\pi\) | |||||||
\(908\) | −1.08488e15 | + | 6.26358e14i | −1.75774 | + | 1.01483i | ||||
\(909\) | −2.34685e12 | − | 4.06486e12i | −0.00378151 | − | 0.00654977i | ||||
\(910\) | −2.79643e15 | − | 1.61452e15i | −4.48123 | − | 2.58724i | ||||
\(911\) | 6.58867e14i | 1.05004i | 0.851090 | + | 0.525020i | \(0.175942\pi\) | ||||
−0.851090 | + | 0.525020i | \(0.824058\pi\) | |||||||
\(912\) | −1.97615e14 | + | 3.42280e14i | −0.313218 | + | 0.542510i | ||||
\(913\) | 1.43055e14 | + | 2.47778e14i | 0.225501 | + | 0.390579i | ||||
\(914\) | 5.96753e14 | 0.935542 | ||||||||
\(915\) | 5.88623e14 | − | 3.39842e14i | 0.917766 | − | 0.529873i | ||||
\(916\) | 6.75413e14 | − | 1.16985e15i | 1.04735 | − | 1.81407i | ||||
\(917\) | 2.07131e14 | − | 3.58762e14i | 0.319447 | − | 0.553299i | ||||
\(918\) | −1.04178e14 | + | 1.80441e14i | −0.159795 | + | 0.276772i | ||||
\(919\) | −2.75952e14 | −0.420974 | −0.210487 | − | 0.977597i | \(-0.567505\pi\) | ||||
−0.210487 | + | 0.977597i | \(0.567505\pi\) | |||||||
\(920\) | −8.35296e13 | + | 1.44677e14i | −0.126736 | + | 0.219514i | ||||
\(921\) | 1.08227e15 | + | 6.24848e14i | 1.63319 | + | 0.942922i | ||||
\(922\) | 1.35390e15 | − | 7.81676e14i | 2.03204 | − | 1.17320i | ||||
\(923\) | 1.10925e15 | − | 6.40427e14i | 1.65585 | − | 0.956007i | ||||
\(924\) | 7.51493e14 | 1.11575 | ||||||||
\(925\) | 1.83206e15i | 2.70540i | ||||||||
\(926\) | −5.45706e14 | − | 9.45191e14i | −0.801501 | − | 1.38824i | ||||
\(927\) | −6.64006e14 | − | 1.15009e15i | −0.970004 | − | 1.68010i | ||||
\(928\) | −4.65560e14 | + | 8.06373e14i | −0.676450 | + | 1.17165i | ||||
\(929\) | −3.72445e14 | − | 2.15031e14i | −0.538249 | − | 0.310758i | 0.206120 | − | 0.978527i | \(-0.433916\pi\) |
−0.744369 | + | 0.667769i | \(0.767250\pi\) | |||||||
\(930\) | 3.17546e15i | 4.56448i | ||||||||
\(931\) | −1.42495e14 | − | 8.22696e13i | −0.203728 | − | 0.117623i | ||||
\(932\) | −1.34277e15 | − | 7.75250e14i | −1.90951 | − | 1.10246i | ||||
\(933\) | −1.55828e14 | − | 8.99673e13i | −0.220413 | − | 0.127255i | ||||
\(934\) | 7.66037e14 | + | 1.32682e15i | 1.07774 | + | 1.86671i | ||||
\(935\) | − | 1.15835e15i | − | 1.62100i | ||||||
\(936\) | −6.07101e14 | + | 3.50510e14i | −0.845048 | + | 0.487889i | ||||
\(937\) | −3.93840e14 | − | 2.27384e14i | −0.545283 | − | 0.314819i | 0.201934 | − | 0.979399i | \(-0.435277\pi\) |
−0.747217 | + | 0.664580i | \(0.768611\pi\) | |||||||
\(938\) | −6.34488e14 | −0.873794 | ||||||||
\(939\) | −5.32781e14 | + | 9.22804e14i | −0.729829 | + | 1.26410i | ||||
\(940\) | −7.33306e14 | + | 4.23375e14i | −0.999186 | + | 0.576880i | ||||
\(941\) | −2.45575e14 | − | 4.25348e14i | −0.332840 | − | 0.576496i | 0.650228 | − | 0.759740i | \(-0.274674\pi\) |
−0.983067 | + | 0.183244i | \(0.941340\pi\) | |||||||
\(942\) | 2.45990e15i | 3.31637i | ||||||||
\(943\) | −4.57977e13 | − | 7.93239e13i | −0.0614165 | − | 0.106377i | ||||
\(944\) | −4.45993e14 | −0.594934 | ||||||||
\(945\) | − | 1.81924e14i | − | 0.241397i | ||||||
\(946\) | −5.61732e14 | + | 1.66726e14i | −0.741436 | + | 0.220064i | ||||
\(947\) | −7.25736e14 | −0.952859 | −0.476430 | − | 0.879213i | \(-0.658069\pi\) | ||||
−0.476430 | + | 0.879213i | \(0.658069\pi\) | |||||||
\(948\) | 8.67882e13i | 0.113349i | ||||||||
\(949\) | 9.01258e13 | − | 5.20341e13i | 0.117089 | − | 0.0676016i | ||||
\(950\) | 2.31362e15 | 2.99002 | ||||||||
\(951\) | 8.56975e14 | − | 4.94775e14i | 1.10171 | − | 0.636070i | ||||
\(952\) | −4.30711e14 | − | 7.46013e14i | −0.550809 | − | 0.954030i | ||||
\(953\) | −5.86954e14 | − | 3.38878e14i | −0.746689 | − | 0.431101i | 0.0778073 | − | 0.996968i | \(-0.475208\pi\) |
−0.824496 | + | 0.565867i | \(0.808541\pi\) | |||||||
\(954\) | − | 8.54568e14i | − | 1.08145i | ||||||
\(955\) | −1.58120e14 | + | 2.73872e14i | −0.199053 | + | 0.344771i | ||||
\(956\) | 3.48862e14 | + | 6.04247e14i | 0.436882 | + | 0.756702i | ||||
\(957\) | −5.89492e14 | −0.734376 | ||||||||
\(958\) | 1.31379e15 | − | 7.58518e14i | 1.62817 | − | 0.940023i | ||||
\(959\) | −4.41180e13 | + | 7.64146e13i | −0.0543905 | + | 0.0942071i | ||||
\(960\) | 1.64834e15 | − | 2.85501e15i | 2.02158 | − | 3.50148i | ||||
\(961\) | −1.16936e14 | + | 2.02539e14i | −0.142670 | + | 0.247111i | ||||
\(962\) | −2.43848e15 | −2.95967 | ||||||||
\(963\) | 3.27016e14 | − | 5.66409e14i | 0.394855 | − | 0.683909i | ||||
\(964\) | −7.96283e14 | − | 4.59734e14i | −0.956494 | − | 0.552232i | ||||
\(965\) | 4.37789e14 | − | 2.52758e14i | 0.523152 | − | 0.302042i | ||||
\(966\) | 4.62634e14 | − | 2.67102e14i | 0.549986 | − | 0.317535i | ||||
\(967\) | 2.98451e14 | 0.352972 | 0.176486 | − | 0.984303i | \(-0.443527\pi\) | ||||
0.176486 | + | 0.984303i | \(0.443527\pi\) | |||||||
\(968\) | − | 3.48977e14i | − | 0.410601i | ||||||
\(969\) | 9.23125e14 | + | 1.59890e15i | 1.08054 | + | 1.87155i | ||||
\(970\) | −1.91238e15 | − | 3.31234e15i | −2.22697 | − | 3.85723i | ||||
\(971\) | 8.31661e13 | − | 1.44048e14i | 0.0963497 | − | 0.166883i | −0.813821 | − | 0.581115i | \(-0.802617\pi\) |
0.910171 | + | 0.414233i | \(0.135950\pi\) | |||||||
\(972\) | 1.46262e15 | + | 8.44445e14i | 1.68578 | + | 0.973285i | ||||
\(973\) | − | 6.68491e14i | − | 0.766534i | ||||||
\(974\) | −7.56706e14 | − | 4.36884e14i | −0.863242 | − | 0.498393i | ||||
\(975\) | −4.15686e15 | − | 2.39996e15i | −4.71783 | − | 2.72384i | ||||
\(976\) | −1.59171e14 | − | 9.18972e13i | −0.179727 | − | 0.103766i | ||||
\(977\) | 2.42562e14 | + | 4.20129e14i | 0.272489 | + | 0.471965i | 0.969499 | − | 0.245097i | \(-0.0788197\pi\) |
−0.697009 | + | 0.717062i | \(0.745486\pi\) | |||||||
\(978\) | − | 1.02308e15i | − | 1.14344i | ||||||
\(979\) | 1.57678e14 | − | 9.10356e13i | 0.175331 | − | 0.101227i | ||||
\(980\) | 5.37454e14 | + | 3.10299e14i | 0.594581 | + | 0.343281i | ||||
\(981\) | 1.06248e15 | 1.16943 | ||||||||
\(982\) | 1.50471e14 | − | 2.60624e14i | 0.164777 | − | 0.285402i | ||||
\(983\) | 3.77487e13 | − | 2.17942e13i | 0.0411277 | − | 0.0237451i | −0.479295 | − | 0.877654i | \(-0.659108\pi\) |
0.520423 | + | 0.853909i | \(0.325774\pi\) | |||||||
\(984\) | −1.77364e14 | − | 3.07203e14i | −0.192260 | − | 0.333004i | ||||
\(985\) | − | 1.95513e15i | − | 2.10860i | ||||||
\(986\) | 1.28097e15 | + | 2.21870e15i | 1.37453 | + | 2.38075i | ||||
\(987\) | 7.14155e14 | 0.762442 | ||||||||
\(988\) | 1.77362e15i | 1.88398i | ||||||||
\(989\) | −1.65042e14 | + | 1.74109e14i | −0.174427 | + | 0.184009i | ||||
\(990\) | 1.44541e15 | 1.51990 | ||||||||
\(991\) | 3.42878e14i | 0.358733i | 0.983782 | + | 0.179366i | \(0.0574048\pi\) | ||||
−0.983782 | + | 0.179366i | \(0.942595\pi\) | |||||||
\(992\) | 1.26252e15 | − | 7.28919e14i | 1.31426 | − | 0.758789i | ||||
\(993\) | 1.09773e15 | 1.13698 | ||||||||
\(994\) | −1.70085e15 | + | 9.81988e14i | −1.75281 | + | 1.01199i | ||||
\(995\) | 6.61390e14 | + | 1.14556e15i | 0.678176 | + | 1.17463i | ||||
\(996\) | 1.48954e15 | + | 8.59988e14i | 1.51969 | + | 0.877396i | ||||
\(997\) | 3.18431e14i | 0.323251i | 0.986852 | + | 0.161625i | \(0.0516736\pi\) | ||||
−0.986852 | + | 0.161625i | \(0.948326\pi\) | |||||||
\(998\) | −1.03837e15 | + | 1.79852e15i | −1.04882 | + | 1.81661i | ||||
\(999\) | −6.86920e13 | − | 1.18978e14i | −0.0690364 | − | 0.119575i |
(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 | 43.11.d.a.7.6 | ✓ | 72 | |
43.37 | odd | 6 | inner | 43.11.d.a.37.31 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.11.d.a.7.6 | ✓ | 72 | 1.1 | even | 1 | trivial | |
43.11.d.a.37.31 | yes | 72 | 43.37 | odd | 6 | inner |