Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(11,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.e (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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 37.11 |
Dual form | 37.8.e.a.27.1 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −18.1421 | + | 10.4744i | −1.60355 | + | 0.925811i | −0.612782 | + | 0.790252i | \(0.709950\pi\) |
−0.990769 | + | 0.135559i | \(0.956717\pi\) | |||||||
\(3\) | −15.3322 | + | 26.5561i | −0.327854 | + | 0.567859i | −0.982086 | − | 0.188435i | \(-0.939659\pi\) |
0.654232 | + | 0.756294i | \(0.272992\pi\) | |||||||
\(4\) | 155.424 | − | 269.203i | 1.21425 | − | 2.10315i | ||||
\(5\) | 181.047 | + | 104.528i | 0.647735 | + | 0.373970i | 0.787588 | − | 0.616202i | \(-0.211330\pi\) |
−0.139853 | + | 0.990172i | \(0.544663\pi\) | |||||||
\(6\) | − | 642.380i | − | 1.21412i | ||||||
\(7\) | −800.230 | + | 1386.04i | −0.881803 | + | 1.52733i | −0.0324678 | + | 0.999473i | \(0.510337\pi\) |
−0.849335 | + | 0.527854i | \(0.822997\pi\) | |||||||
\(8\) | 3830.44i | 2.64505i | ||||||||
\(9\) | 623.347 | + | 1079.67i | 0.285024 | + | 0.493676i | ||||
\(10\) | −4379.44 | −1.38490 | ||||||||
\(11\) | −3338.80 | −0.756338 | −0.378169 | − | 0.925737i | \(-0.623446\pi\) | ||||
−0.378169 | + | 0.925737i | \(0.623446\pi\) | |||||||
\(12\) | 4765.99 | + | 8254.94i | 0.796194 | + | 1.37905i | ||||
\(13\) | 10491.0 | + | 6056.95i | 1.32438 | + | 0.764632i | 0.984424 | − | 0.175809i | \(-0.0562540\pi\) |
0.339957 | + | 0.940441i | \(0.389587\pi\) | |||||||
\(14\) | − | 33527.6i | − | 3.26553i | ||||||
\(15\) | −5551.71 | + | 3205.28i | −0.424724 | + | 0.245215i | ||||
\(16\) | −20227.1 | − | 35034.3i | −1.23456 | − | 2.13833i | ||||
\(17\) | −8936.96 | + | 5159.76i | −0.441183 | + | 0.254717i | −0.704099 | − | 0.710102i | \(-0.748649\pi\) |
0.262916 | + | 0.964819i | \(0.415316\pi\) | |||||||
\(18\) | −22617.7 | − | 13058.3i | −0.914101 | − | 0.527757i | ||||
\(19\) | 10286.1 | + | 5938.67i | 0.344042 | + | 0.198633i | 0.662058 | − | 0.749452i | \(-0.269683\pi\) |
−0.318016 | + | 0.948085i | \(0.603017\pi\) | |||||||
\(20\) | 56278.3 | − | 32492.3i | 1.57303 | − | 0.908187i | ||||
\(21\) | −24538.6 | − | 42502.0i | −0.578205 | − | 1.00148i | ||||
\(22\) | 60572.9 | − | 34971.8i | 1.21283 | − | 0.700226i | ||||
\(23\) | 33884.3i | 0.580698i | 0.956921 | + | 0.290349i | \(0.0937715\pi\) | ||||
−0.956921 | + | 0.290349i | \(0.906229\pi\) | |||||||
\(24\) | −101722. | − | 58729.1i | −1.50202 | − | 0.867189i | ||||
\(25\) | −17210.4 | − | 29809.3i | −0.220293 | − | 0.381559i | ||||
\(26\) | −253771. | −2.83162 | ||||||||
\(27\) | −105292. | −1.02949 | ||||||||
\(28\) | 248750. | + | 430848.i | 2.14146 | + | 3.70912i | ||||
\(29\) | − | 242692.i | − | 1.84783i | −0.382593 | − | 0.923917i | \(-0.624969\pi\) | ||
0.382593 | − | 0.923917i | \(-0.375031\pi\) | |||||||
\(30\) | 67146.5 | − | 116301.i | 0.454045 | − | 0.786429i | ||||
\(31\) | 102268.i | 0.616559i | 0.951296 | + | 0.308279i | \(0.0997532\pi\) | ||||
−0.951296 | + | 0.308279i | \(0.900247\pi\) | |||||||
\(32\) | 309315. | + | 178583.i | 1.66869 | + | 0.963420i | ||||
\(33\) | 51191.1 | − | 88665.7i | 0.247968 | − | 0.429494i | ||||
\(34\) | 108090. | − | 187218.i | 0.471640 | − | 0.816904i | ||||
\(35\) | −289759. | + | 167292.i | −1.14235 | + | 0.659535i | ||||
\(36\) | 387533. | 1.38436 | ||||||||
\(37\) | 293918. | + | 92432.7i | 0.953940 | + | 0.299999i | ||||
\(38\) | −248815. | −0.735586 | ||||||||
\(39\) | −321699. | + | 185733.i | −0.868407 | + | 0.501375i | ||||
\(40\) | −400387. | + | 693491.i | −0.989168 | + | 1.71329i | ||||
\(41\) | −145883. | + | 252677.i | −0.330568 | + | 0.572561i | −0.982623 | − | 0.185611i | \(-0.940574\pi\) |
0.652055 | + | 0.758172i | \(0.273907\pi\) | |||||||
\(42\) | 890363. | + | 514051.i | 1.85436 | + | 1.07062i | ||||
\(43\) | − | 758408.i | − | 1.45467i | −0.686285 | − | 0.727333i | \(-0.740760\pi\) | ||
0.686285 | − | 0.727333i | \(-0.259240\pi\) | |||||||
\(44\) | −518930. | + | 898814.i | −0.918385 | + | 1.59069i | ||||
\(45\) | 260628.i | 0.426361i | ||||||||
\(46\) | −354916. | − | 614732.i | −0.537617 | − | 0.931180i | ||||
\(47\) | −1.00072e6 | −1.40595 | −0.702977 | − | 0.711213i | \(-0.748146\pi\) | ||||
−0.702977 | + | 0.711213i | \(0.748146\pi\) | |||||||
\(48\) | 1.24050e6 | 1.61902 | ||||||||
\(49\) | −868963. | − | 1.50509e6i | −1.05515 | − | 1.82758i | ||||
\(50\) | 624466. | + | 360536.i | 0.706503 | + | 0.407900i | ||||
\(51\) | − | 316442.i | − | 0.334040i | ||||||
\(52\) | 3.26110e6 | − | 1.88280e6i | 3.21627 | − | 1.85691i | ||||
\(53\) | 280855. | + | 486455.i | 0.259129 | + | 0.448825i | 0.966009 | − | 0.258509i | \(-0.0832311\pi\) |
−0.706880 | + | 0.707334i | \(0.749898\pi\) | |||||||
\(54\) | 1.91022e6 | − | 1.10287e6i | 1.65084 | − | 0.953115i | ||||
\(55\) | −604481. | − | 348997.i | −0.489906 | − | 0.282848i | ||||
\(56\) | −5.30914e6 | − | 3.06523e6i | −4.03985 | − | 2.33241i | ||||
\(57\) | −315416. | + | 182106.i | −0.225591 | + | 0.130245i | ||||
\(58\) | 2.54204e6 | + | 4.40295e6i | 1.71074 | + | 2.96310i | ||||
\(59\) | −13696.0 | + | 7907.37i | −0.00868182 | + | 0.00501245i | −0.504335 | − | 0.863508i | \(-0.668262\pi\) |
0.495653 | + | 0.868521i | \(0.334929\pi\) | |||||||
\(60\) | 1.99271e6i | 1.19101i | ||||||||
\(61\) | −361858. | − | 208919.i | −0.204119 | − | 0.117848i | 0.394456 | − | 0.918915i | \(-0.370933\pi\) |
−0.598575 | + | 0.801067i | \(0.704266\pi\) | |||||||
\(62\) | −1.07119e6 | − | 1.85536e6i | −0.570817 | − | 0.988684i | ||||
\(63\) | −1.99528e6 | −1.00534 | ||||||||
\(64\) | −2.30404e6 | −1.09865 | ||||||||
\(65\) | 1.26624e6 | + | 2.19319e6i | 0.571899 | + | 0.990558i | ||||
\(66\) | 2.14478e6i | 0.918287i | ||||||||
\(67\) | −371833. | + | 644033.i | −0.151038 | + | 0.261605i | −0.931609 | − | 0.363461i | \(-0.881595\pi\) |
0.780571 | + | 0.625067i | \(0.214928\pi\) | |||||||
\(68\) | 3.20780e6i | 1.23716i | ||||||||
\(69\) | −899835. | − | 519520.i | −0.329755 | − | 0.190384i | ||||
\(70\) | 3.50456e6 | − | 6.07007e6i | 1.22121 | − | 2.11520i | ||||
\(71\) | −840979. | + | 1.45662e6i | −0.278857 | + | 0.482994i | −0.971101 | − | 0.238670i | \(-0.923289\pi\) |
0.692244 | + | 0.721663i | \(0.256622\pi\) | |||||||
\(72\) | −4.13561e6 | + | 2.38769e6i | −1.30580 | + | 0.753902i | ||||
\(73\) | 2.05081e6 | 0.617015 | 0.308508 | − | 0.951222i | \(-0.400170\pi\) | ||||
0.308508 | + | 0.951222i | \(0.400170\pi\) | |||||||
\(74\) | −6.30048e6 | + | 1.40168e6i | −1.80743 | + | 0.402104i | ||||
\(75\) | 1.05549e6 | 0.288896 | ||||||||
\(76\) | 3.19741e6 | − | 1.84603e6i | 0.835508 | − | 0.482381i | ||||
\(77\) | 2.67181e6 | − | 4.62770e6i | 0.666941 | − | 1.15518i | ||||
\(78\) | 3.89086e6 | − | 6.73917e6i | 0.928357 | − | 1.60796i | ||||
\(79\) | 6.15690e6 | + | 3.55469e6i | 1.40497 | + | 0.811160i | 0.994897 | − | 0.100893i | \(-0.0321699\pi\) |
0.410073 | + | 0.912053i | \(0.365503\pi\) | |||||||
\(80\) | − | 8.45717e6i | − | 1.84676i | ||||||
\(81\) | 251100. | − | 434918.i | 0.0524988 | − | 0.0909306i | ||||
\(82\) | − | 6.11212e6i | − | 1.22417i | ||||||
\(83\) | −539461. | − | 934373.i | −0.103559 | − | 0.179369i | 0.809590 | − | 0.586996i | \(-0.199690\pi\) |
−0.913148 | + | 0.407627i | \(0.866356\pi\) | |||||||
\(84\) | −1.52555e7 | −2.80834 | ||||||||
\(85\) | −2.15735e6 | −0.381026 | ||||||||
\(86\) | 7.94383e6 | + | 1.37591e7i | 1.34675 | + | 2.33263i | ||||
\(87\) | 6.44497e6 | + | 3.72101e6i | 1.04931 | + | 0.605819i | ||||
\(88\) | − | 1.27891e7i | − | 2.00055i | ||||||
\(89\) | −4.06786e6 | + | 2.34858e6i | −0.611647 | + | 0.353134i | −0.773610 | − | 0.633662i | \(-0.781551\pi\) |
0.161963 | + | 0.986797i | \(0.448218\pi\) | |||||||
\(90\) | −2.72991e6 | − | 4.72835e6i | −0.394730 | − | 0.683692i | ||||
\(91\) | −1.67903e7 | + | 9.69391e6i | −2.33569 | + | 1.34851i | ||||
\(92\) | 9.12173e6 | + | 5.26644e6i | 1.22129 | + | 0.705114i | ||||
\(93\) | −2.71585e6 | − | 1.56800e6i | −0.350119 | − | 0.202141i | ||||
\(94\) | 1.81552e7 | − | 1.04819e7i | 2.25452 | − | 1.30165i | ||||
\(95\) | 1.24151e6 | + | 2.15036e6i | 0.148565 | + | 0.257323i | ||||
\(96\) | −9.48496e6 | + | 5.47615e6i | −1.09417 | + | 0.631722i | ||||
\(97\) | 7.43339e6i | 0.826963i | 0.910513 | + | 0.413481i | \(0.135687\pi\) | ||||
−0.910513 | + | 0.413481i | \(0.864313\pi\) | |||||||
\(98\) | 3.15297e7 | + | 1.82037e7i | 3.38398 | + | 1.95374i | ||||
\(99\) | −2.08123e6 | − | 3.60480e6i | −0.215574 | − | 0.373386i | ||||
\(100\) | −1.06997e7 | −1.06997 | ||||||||
\(101\) | 5.47431e6 | 0.528694 | 0.264347 | − | 0.964428i | \(-0.414844\pi\) | ||||
0.264347 | + | 0.964428i | \(0.414844\pi\) | |||||||
\(102\) | 3.31452e6 | + | 5.74092e6i | 0.309258 | + | 0.535650i | ||||
\(103\) | − | 5.22899e6i | − | 0.471507i | −0.971813 | − | 0.235753i | \(-0.924244\pi\) | ||
0.971813 | − | 0.235753i | \(-0.0757558\pi\) | |||||||
\(104\) | −2.32008e7 | + | 4.01850e7i | −2.02249 | + | 3.50305i | ||||
\(105\) | − | 1.02598e7i | − | 0.864924i | ||||||
\(106\) | −1.01906e7 | − | 5.88355e6i | −0.831054 | − | 0.479809i | ||||
\(107\) | 1.23584e7 | − | 2.14054e7i | 0.975260 | − | 1.68920i | 0.296184 | − | 0.955131i | \(-0.404286\pi\) |
0.679076 | − | 0.734068i | \(-0.262381\pi\) | |||||||
\(108\) | −1.63650e7 | + | 2.83449e7i | −1.25006 | + | 2.16517i | ||||
\(109\) | 7.46443e6 | − | 4.30959e6i | 0.552082 | − | 0.318745i | −0.197879 | − | 0.980226i | \(-0.563405\pi\) |
0.749961 | + | 0.661482i | \(0.230072\pi\) | |||||||
\(110\) | 1.46221e7 | 1.04745 | ||||||||
\(111\) | −6.96107e6 | + | 6.38815e6i | −0.483110 | + | 0.443348i | ||||
\(112\) | 6.47452e7 | 4.35457 | ||||||||
\(113\) | −1.65714e7 | + | 9.56748e6i | −1.08040 | + | 0.623768i | −0.931004 | − | 0.365010i | \(-0.881066\pi\) |
−0.149394 | + | 0.988778i | \(0.547732\pi\) | |||||||
\(114\) | 3.81488e6 | − | 6.60756e6i | 0.241165 | − | 0.417709i | ||||
\(115\) | −3.54185e6 | + | 6.13466e6i | −0.217164 | + | 0.376138i | ||||
\(116\) | −6.53334e7 | − | 3.77203e7i | −3.88626 | − | 2.24374i | ||||
\(117\) | 1.51023e7i | 0.871754i | ||||||||
\(118\) | 165649. | − | 286913.i | 0.00928117 | − | 0.0160754i | ||||
\(119\) | − | 1.65160e7i | − | 0.898440i | ||||||
\(120\) | −1.22776e7 | − | 2.12655e7i | −0.648605 | − | 1.12342i | ||||
\(121\) | −8.33959e6 | −0.427953 | ||||||||
\(122\) | 8.75316e6 | 0.436421 | ||||||||
\(123\) | −4.47341e6 | − | 7.74818e6i | −0.216756 | − | 0.375432i | ||||
\(124\) | 2.75309e7 | + | 1.58949e7i | 1.29671 | + | 0.748658i | ||||
\(125\) | − | 2.35283e7i | − | 1.07747i | ||||||
\(126\) | 3.61987e7 | − | 2.08993e7i | 1.61211 | − | 0.930754i | ||||
\(127\) | 1.46202e7 | + | 2.53229e7i | 0.633345 | + | 1.09699i | 0.986863 | + | 0.161558i | \(0.0516518\pi\) |
−0.353519 | + | 0.935428i | \(0.615015\pi\) | |||||||
\(128\) | 2.20785e6 | − | 1.27470e6i | 0.0930541 | − | 0.0537248i | ||||
\(129\) | 2.01404e7 | + | 1.16281e7i | 0.826045 | + | 0.476917i | ||||
\(130\) | −4.59445e7 | − | 2.65261e7i | −1.83414 | − | 1.05894i | ||||
\(131\) | −2.56670e7 | + | 1.48188e7i | −0.997528 | + | 0.575923i | −0.907516 | − | 0.420018i | \(-0.862024\pi\) |
−0.0900120 | + | 0.995941i | \(0.528691\pi\) | |||||||
\(132\) | −1.59127e7 | − | 2.75616e7i | −0.602192 | − | 1.04303i | ||||
\(133\) | −1.64624e7 | + | 9.50459e6i | −0.606755 | + | 0.350310i | ||||
\(134\) | − | 1.55788e7i | − | 0.559330i | ||||||
\(135\) | −1.90629e7 | − | 1.10060e7i | −0.666838 | − | 0.384999i | ||||
\(136\) | −1.97641e7 | − | 3.42325e7i | −0.673739 | − | 1.16695i | ||||
\(137\) | −7.91623e6 | −0.263025 | −0.131512 | − | 0.991315i | \(-0.541983\pi\) | ||||
−0.131512 | + | 0.991315i | \(0.541983\pi\) | |||||||
\(138\) | 2.17666e7 | 0.705039 | ||||||||
\(139\) | −1.72560e7 | − | 2.98882e7i | −0.544988 | − | 0.943947i | −0.998608 | − | 0.0527519i | \(-0.983201\pi\) |
0.453619 | − | 0.891196i | \(-0.350133\pi\) | |||||||
\(140\) | 1.04005e8i | 3.20337i | ||||||||
\(141\) | 1.53433e7 | − | 2.65753e7i | 0.460947 | − | 0.798384i | ||||
\(142\) | − | 3.52348e7i | − | 1.03267i | ||||||
\(143\) | −3.50272e7 | − | 2.02230e7i | −1.00168 | − | 0.578320i | ||||
\(144\) | 2.52170e7 | − | 4.36771e7i | 0.703760 | − | 1.21895i | ||||
\(145\) | 2.53681e7 | − | 4.39388e7i | 0.691034 | − | 1.19691i | ||||
\(146\) | −3.72061e7 | + | 2.14809e7i | −0.989416 | + | 0.571240i | ||||
\(147\) | 5.32925e7 | 1.38374 | ||||||||
\(148\) | 7.05652e7 | − | 6.47574e7i | 1.78926 | − | 1.64200i | ||||
\(149\) | 5.68809e7 | 1.40869 | 0.704344 | − | 0.709859i | \(-0.251241\pi\) | ||||
0.704344 | + | 0.709859i | \(0.251241\pi\) | |||||||
\(150\) | −1.91489e7 | + | 1.10556e7i | −0.463259 | + | 0.267463i | ||||
\(151\) | −7.77153e6 | + | 1.34607e7i | −0.183691 | + | 0.318162i | −0.943135 | − | 0.332411i | \(-0.892138\pi\) |
0.759444 | + | 0.650573i | \(0.225471\pi\) | |||||||
\(152\) | −2.27477e7 | + | 3.94002e7i | −0.525394 | + | 0.910009i | ||||
\(153\) | −1.11417e7 | − | 6.43264e6i | −0.251495 | − | 0.145201i | ||||
\(154\) | 1.11942e8i | 2.46985i | ||||||||
\(155\) | −1.06899e7 | + | 1.85154e7i | −0.230574 | + | 0.399366i | ||||
\(156\) | 1.15470e8i | 2.43518i | ||||||||
\(157\) | 4.70020e7 | + | 8.14099e7i | 0.969321 | + | 1.67891i | 0.697528 | + | 0.716558i | \(0.254283\pi\) |
0.271794 | + | 0.962356i | \(0.412383\pi\) | |||||||
\(158\) | −1.48932e8 | −3.00392 | ||||||||
\(159\) | −1.72245e7 | −0.339826 | ||||||||
\(160\) | 3.73338e7 | + | 6.46640e7i | 0.720580 | + | 1.24808i | ||||
\(161\) | −4.69649e7 | − | 2.71152e7i | −0.886916 | − | 0.512061i | ||||
\(162\) | 1.05204e7i | 0.194416i | ||||||||
\(163\) | −3.60678e7 | + | 2.08237e7i | −0.652323 | + | 0.376619i | −0.789346 | − | 0.613949i | \(-0.789580\pi\) |
0.137023 | + | 0.990568i | \(0.456247\pi\) | |||||||
\(164\) | 4.53475e7 | + | 7.85442e7i | 0.802786 | + | 1.39047i | ||||
\(165\) | 1.85360e7 | − | 1.07018e7i | 0.321235 | − | 0.185465i | ||||
\(166\) | 1.95739e7 | + | 1.13010e7i | 0.332123 | + | 0.191751i | ||||
\(167\) | 2.15809e7 | + | 1.24597e7i | 0.358560 | + | 0.207015i | 0.668449 | − | 0.743758i | \(-0.266958\pi\) |
−0.309889 | + | 0.950773i | \(0.600292\pi\) | |||||||
\(168\) | 1.62801e8 | − | 9.39935e7i | 2.64896 | − | 1.52938i | ||||
\(169\) | 4.19991e7 | + | 7.27446e7i | 0.669325 | + | 1.15930i | ||||
\(170\) | 3.91389e7 | − | 2.25969e7i | 0.610995 | − | 0.352758i | ||||
\(171\) | 1.48074e7i | 0.226461i | ||||||||
\(172\) | −2.04165e8 | − | 1.17875e8i | −3.05937 | − | 1.76633i | ||||
\(173\) | −2.42054e7 | − | 4.19250e7i | −0.355428 | − | 0.615619i | 0.631763 | − | 0.775161i | \(-0.282331\pi\) |
−0.987191 | + | 0.159542i | \(0.948998\pi\) | |||||||
\(174\) | −1.55901e8 | −2.24350 | ||||||||
\(175\) | 5.50891e7 | 0.777020 | ||||||||
\(176\) | 6.75342e7 | + | 1.16973e8i | 0.933747 | + | 1.61730i | ||||
\(177\) | − | 484950.i | − | 0.00657340i | ||||||
\(178\) | 4.91997e7 | − | 8.52164e7i | 0.653871 | − | 1.13254i | ||||
\(179\) | 1.90989e7i | 0.248899i | 0.992226 | + | 0.124450i | \(0.0397165\pi\) | ||||
−0.992226 | + | 0.124450i | \(0.960283\pi\) | |||||||
\(180\) | 7.01618e7 | + | 4.05080e7i | 0.896700 | + | 0.517710i | ||||
\(181\) | 6.60923e7 | − | 1.14475e8i | 0.828468 | − | 1.43495i | −0.0707717 | − | 0.997493i | \(-0.522546\pi\) |
0.899240 | − | 0.437456i | \(-0.144120\pi\) | |||||||
\(182\) | 2.03075e8 | − | 3.51736e8i | 2.49693 | − | 4.32481i | ||||
\(183\) | 1.10962e7 | − | 6.40637e6i | 0.133842 | − | 0.0772739i | ||||
\(184\) | −1.29792e8 | −1.53598 | ||||||||
\(185\) | 4.35514e7 | + | 4.74573e7i | 0.505709 | + | 0.551064i | ||||
\(186\) | 6.56950e7 | 0.748578 | ||||||||
\(187\) | 2.98387e7 | − | 1.72274e7i | 0.333683 | − | 0.192652i | ||||
\(188\) | −1.55537e8 | + | 2.69397e8i | −1.70718 | + | 2.95693i | ||||
\(189\) | 8.42579e7 | − | 1.45939e8i | 0.907809 | − | 1.57237i | ||||
\(190\) | −4.50473e7 | − | 2.60080e7i | −0.476465 | − | 0.275087i | ||||
\(191\) | 6.26555e7i | 0.650643i | 0.945604 | + | 0.325321i | \(0.105472\pi\) | ||||
−0.945604 | + | 0.325321i | \(0.894528\pi\) | |||||||
\(192\) | 3.53260e7 | − | 6.11865e7i | 0.360197 | − | 0.623880i | ||||
\(193\) | 1.45050e8i | 1.45233i | 0.687518 | + | 0.726167i | \(0.258700\pi\) | ||||
−0.687518 | + | 0.726167i | \(0.741300\pi\) | |||||||
\(194\) | −7.78600e7 | − | 1.34857e8i | −0.765611 | − | 1.32608i | ||||
\(195\) | −7.76570e7 | −0.749996 | ||||||||
\(196\) | −5.40232e8 | −5.12488 | ||||||||
\(197\) | −7.19195e6 | − | 1.24568e7i | −0.0670216 | − | 0.116085i | 0.830567 | − | 0.556918i | \(-0.188016\pi\) |
−0.897589 | + | 0.440833i | \(0.854683\pi\) | |||||||
\(198\) | 7.55159e7 | + | 4.35991e7i | 0.691370 | + | 0.399162i | ||||
\(199\) | 7.87808e7i | 0.708654i | 0.935121 | + | 0.354327i | \(0.115290\pi\) | ||||
−0.935121 | + | 0.354327i | \(0.884710\pi\) | |||||||
\(200\) | 1.14183e8 | − | 6.59234e7i | 1.00924 | − | 0.582686i | ||||
\(201\) | −1.14020e7 | − | 1.97489e7i | −0.0990367 | − | 0.171537i | ||||
\(202\) | −9.93155e7 | + | 5.73398e7i | −0.847788 | + | 0.489471i | ||||
\(203\) | 3.36381e8 | + | 1.94210e8i | 2.82225 | + | 1.62942i | ||||
\(204\) | −8.51869e7 | − | 4.91827e7i | −0.702534 | − | 0.405608i | ||||
\(205\) | −5.28235e7 | + | 3.04976e7i | −0.428241 | + | 0.247245i | ||||
\(206\) | 5.47703e7 | + | 9.48650e7i | 0.436526 | + | 0.756085i | ||||
\(207\) | −3.65838e7 | + | 2.11217e7i | −0.286677 | + | 0.165513i | ||||
\(208\) | − | 4.90058e8i | − | 3.77595i | ||||||
\(209\) | −3.43431e7 | − | 1.98280e7i | −0.260212 | − | 0.150234i | ||||
\(210\) | 1.07465e8 | + | 1.86135e8i | 0.800756 | + | 1.38695i | ||||
\(211\) | 1.58101e8 | 1.15863 | 0.579316 | − | 0.815103i | \(-0.303320\pi\) | ||||
0.579316 | + | 0.815103i | \(0.303320\pi\) | |||||||
\(212\) | 1.74607e8 | 1.25859 | ||||||||
\(213\) | −2.57881e7 | − | 4.46663e7i | −0.182848 | − | 0.316702i | ||||
\(214\) | 5.17786e8i | 3.61162i | ||||||||
\(215\) | 7.92746e7 | − | 1.37308e8i | 0.544001 | − | 0.942237i | ||||
\(216\) | − | 4.03315e8i | − | 2.72306i | ||||||
\(217\) | −1.41748e8 | − | 8.18380e7i | −0.941687 | − | 0.543683i | ||||
\(218\) | −9.02804e7 | + | 1.56370e8i | −0.590195 | + | 1.02225i | ||||
\(219\) | −3.14435e7 | + | 5.44617e7i | −0.202291 | + | 0.350378i | ||||
\(220\) | −1.87902e8 | + | 1.08485e8i | −1.18974 | + | 0.686896i | ||||
\(221\) | −1.25010e8 | −0.779059 | ||||||||
\(222\) | 5.93769e7 | − | 1.88807e8i | 0.364235 | − | 1.15820i | ||||
\(223\) | −1.02583e8 | −0.619453 | −0.309727 | − | 0.950826i | \(-0.600238\pi\) | ||||
−0.309727 | + | 0.950826i | \(0.600238\pi\) | |||||||
\(224\) | −4.95046e8 | + | 2.85815e8i | −2.94292 | + | 1.69909i | ||||
\(225\) | 2.14561e7 | − | 3.71631e7i | 0.125578 | − | 0.217507i | ||||
\(226\) | 2.00426e8 | − | 3.47149e8i | 1.15498 | − | 2.00049i | ||||
\(227\) | −1.41640e8 | − | 8.17759e7i | −0.803703 | − | 0.464018i | 0.0410613 | − | 0.999157i | \(-0.486926\pi\) |
−0.844764 | + | 0.535138i | \(0.820259\pi\) | |||||||
\(228\) | 1.13215e8i | 0.632601i | ||||||||
\(229\) | 8.07229e6 | − | 1.39816e7i | 0.0444194 | − | 0.0769366i | −0.842961 | − | 0.537975i | \(-0.819190\pi\) |
0.887380 | + | 0.461038i | \(0.152523\pi\) | |||||||
\(230\) | − | 1.48394e8i | − | 0.804210i | ||||||
\(231\) | 8.19293e7 | + | 1.41906e8i | 0.437318 | + | 0.757457i | ||||
\(232\) | 9.29618e8 | 4.88761 | ||||||||
\(233\) | 2.56827e8 | 1.33013 | 0.665067 | − | 0.746784i | \(-0.268403\pi\) | ||||
0.665067 | + | 0.746784i | \(0.268403\pi\) | |||||||
\(234\) | −1.58187e8 | − | 2.73989e8i | −0.807079 | − | 1.39790i | ||||
\(235\) | −1.81178e8 | − | 1.04603e8i | −0.910685 | − | 0.525784i | ||||
\(236\) | 4.91599e6i | 0.0243455i | ||||||||
\(237\) | −1.88798e8 | + | 1.09002e8i | −0.921249 | + | 0.531884i | ||||
\(238\) | 1.72994e8 | + | 2.99634e8i | 0.831786 | + | 1.44070i | ||||
\(239\) | −1.00327e8 | + | 5.79240e7i | −0.475365 | + | 0.274452i | −0.718483 | − | 0.695545i | \(-0.755163\pi\) |
0.243118 | + | 0.969997i | \(0.421830\pi\) | |||||||
\(240\) | 2.24590e8 | + | 1.29667e8i | 1.04870 | + | 0.605466i | ||||
\(241\) | −2.35290e8 | − | 1.35845e8i | −1.08279 | − | 0.625148i | −0.151142 | − | 0.988512i | \(-0.548295\pi\) |
−0.931647 | + | 0.363364i | \(0.881628\pi\) | |||||||
\(242\) | 1.51298e8 | − | 8.73518e7i | 0.686244 | − | 0.396203i | ||||
\(243\) | −1.07437e8 | − | 1.86087e8i | −0.480322 | − | 0.831942i | ||||
\(244\) | −1.12483e8 | + | 6.49421e7i | −0.495704 | + | 0.286195i | ||||
\(245\) | − | 3.63323e8i | − | 1.57838i | ||||||
\(246\) | 1.62314e8 | + | 9.37123e7i | 0.695159 | + | 0.401350i | ||||
\(247\) | 7.19405e7 | + | 1.24605e8i | 0.303762 | + | 0.526132i | ||||
\(248\) | −3.91732e8 | −1.63083 | ||||||||
\(249\) | 3.30845e7 | 0.135808 | ||||||||
\(250\) | 2.46444e8 | + | 4.26853e8i | 0.997535 | + | 1.72778i | ||||
\(251\) | 2.36793e8i | 0.945172i | 0.881285 | + | 0.472586i | \(0.156679\pi\) | ||||
−0.881285 | + | 0.472586i | \(0.843321\pi\) | |||||||
\(252\) | −3.10115e8 | + | 5.37136e8i | −1.22074 | + | 2.11438i | ||||
\(253\) | − | 1.13133e8i | − | 0.439204i | ||||||
\(254\) | −5.30483e8 | − | 3.06274e8i | −2.03120 | − | 1.17272i | ||||
\(255\) | 3.30769e7 | − | 5.72909e7i | 0.124921 | − | 0.216369i | ||||
\(256\) | 1.20755e8 | − | 2.09154e8i | 0.449848 | − | 0.779160i | ||||
\(257\) | −8.65513e7 | + | 4.99704e7i | −0.318059 | + | 0.183631i | −0.650527 | − | 0.759483i | \(-0.725452\pi\) |
0.332468 | + | 0.943115i | \(0.392119\pi\) | |||||||
\(258\) | −4.87186e8 | −1.76614 | ||||||||
\(259\) | −3.63318e8 | + | 3.33415e8i | −1.29938 | + | 1.19244i | ||||
\(260\) | 7.87217e8 | 2.77772 | ||||||||
\(261\) | 2.62027e8 | − | 1.51282e8i | 0.912231 | − | 0.526677i | ||||
\(262\) | 3.10435e8 | − | 5.37690e8i | 1.06639 | − | 1.84704i | ||||
\(263\) | −3.62712e7 | + | 6.28236e7i | −0.122947 | + | 0.212950i | −0.920928 | − | 0.389732i | \(-0.872568\pi\) |
0.797982 | + | 0.602682i | \(0.205901\pi\) | |||||||
\(264\) | 3.39628e8 | + | 1.96085e8i | 1.13603 | + | 0.655888i | ||||
\(265\) | 1.17429e8i | 0.387626i | ||||||||
\(266\) | 1.99109e8 | − | 3.44867e8i | 0.648642 | − | 1.12348i | ||||
\(267\) | − | 1.44035e8i | − | 0.463106i | ||||||
\(268\) | 1.15584e8 | + | 2.00197e8i | 0.366796 | + | 0.635309i | ||||
\(269\) | −6.03972e8 | −1.89184 | −0.945918 | − | 0.324405i | \(-0.894836\pi\) | ||||
−0.945918 | + | 0.324405i | \(0.894836\pi\) | |||||||
\(270\) | 4.61121e8 | 1.42574 | ||||||||
\(271\) | 2.17163e8 | + | 3.76137e8i | 0.662815 | + | 1.14803i | 0.979873 | + | 0.199624i | \(0.0639719\pi\) |
−0.317057 | + | 0.948406i | \(0.602695\pi\) | |||||||
\(272\) | 3.61537e8 | + | 2.08734e8i | 1.08934 | + | 0.628928i | ||||
\(273\) | − | 5.94516e8i | − | 1.76846i | ||||||
\(274\) | 1.43617e8 | − | 8.29174e7i | 0.421773 | − | 0.243511i | ||||
\(275\) | 5.74621e7 | + | 9.95273e7i | 0.166616 | + | 0.288588i | ||||
\(276\) | −2.79712e8 | + | 1.61492e8i | −0.800811 | + | 0.462348i | ||||
\(277\) | −9.38689e7 | − | 5.41952e7i | −0.265364 | − | 0.153208i | 0.361415 | − | 0.932405i | \(-0.382294\pi\) |
−0.626779 | + | 0.779197i | \(0.715627\pi\) | |||||||
\(278\) | 6.26119e8 | + | 3.61490e8i | 1.74783 | + | 1.00911i | ||||
\(279\) | −1.10416e8 | + | 6.37486e7i | −0.304380 | + | 0.175734i | ||||
\(280\) | −6.40803e8 | − | 1.10990e9i | −1.74450 | − | 3.02157i | ||||
\(281\) | 1.46992e8 | − | 8.48657e7i | 0.395203 | − | 0.228171i | −0.289209 | − | 0.957266i | \(-0.593392\pi\) |
0.684412 | + | 0.729095i | \(0.260059\pi\) | |||||||
\(282\) | 6.42844e8i | 1.70700i | ||||||||
\(283\) | −5.44919e8 | − | 3.14609e8i | −1.42915 | − | 0.825123i | −0.432101 | − | 0.901825i | \(-0.642227\pi\) |
−0.997054 | + | 0.0767026i | \(0.975561\pi\) | |||||||
\(284\) | 2.61417e8 | + | 4.52787e8i | 0.677204 | + | 1.17295i | ||||
\(285\) | −7.61404e7 | −0.194831 | ||||||||
\(286\) | 8.47290e8 | 2.14166 | ||||||||
\(287\) | −2.33480e8 | − | 4.04399e8i | −0.582992 | − | 1.00977i | ||||
\(288\) | 4.45277e8i | 1.09839i | ||||||||
\(289\) | −1.51923e8 | + | 2.63139e8i | −0.370239 | + | 0.641272i | ||||
\(290\) | 1.06286e9i | 2.55907i | ||||||||
\(291\) | −1.97402e8 | − | 1.13970e8i | −0.469599 | − | 0.271123i | ||||
\(292\) | 3.18746e8 | − | 5.52084e8i | 0.749212 | − | 1.29767i | ||||
\(293\) | −4.52063e7 | + | 7.82996e7i | −0.104993 | + | 0.181854i | −0.913736 | − | 0.406309i | \(-0.866815\pi\) |
0.808742 | + | 0.588163i | \(0.200149\pi\) | |||||||
\(294\) | −9.66838e8 | + | 5.58204e8i | −2.21890 | + | 1.28108i | ||||
\(295\) | −3.30616e6 | −0.00749802 | ||||||||
\(296\) | −3.54058e8 | + | 1.12584e9i | −0.793512 | + | 2.52322i | ||||
\(297\) | 3.51550e8 | 0.778644 | ||||||||
\(298\) | −1.03194e9 | + | 5.95791e8i | −2.25890 | + | 1.30418i | ||||
\(299\) | −2.05235e8 | + | 3.55478e8i | −0.444021 | + | 0.769066i | ||||
\(300\) | 1.64049e8 | − | 2.84142e8i | 0.350792 | − | 0.607590i | ||||
\(301\) | 1.05118e9 | + | 6.06900e8i | 2.22175 | + | 1.28273i | ||||
\(302\) | − | 3.25607e8i | − | 0.680251i | ||||||
\(303\) | −8.39332e7 | + | 1.45376e8i | −0.173334 | + | 0.300224i | ||||
\(304\) | − | 4.80488e8i | − | 0.980900i | ||||||
\(305\) | −4.36756e7 | − | 7.56484e7i | −0.0881434 | − | 0.152669i | ||||
\(306\) | 2.69511e8 | 0.537714 | ||||||||
\(307\) | −1.99869e8 | −0.394240 | −0.197120 | − | 0.980379i | \(-0.563159\pi\) | ||||
−0.197120 | + | 0.980379i | \(0.563159\pi\) | |||||||
\(308\) | −8.30527e8 | − | 1.43851e9i | −1.61967 | − | 2.80535i | ||||
\(309\) | 1.38862e8 | + | 8.01720e7i | 0.267749 | + | 0.154585i | ||||
\(310\) | − | 4.47877e8i | − | 0.853873i | ||||||
\(311\) | 6.14412e7 | − | 3.54731e7i | 0.115824 | − | 0.0668710i | −0.440969 | − | 0.897522i | \(-0.645365\pi\) |
0.556793 | + | 0.830651i | \(0.312032\pi\) | |||||||
\(312\) | −7.11439e8 | − | 1.23225e9i | −1.32616 | − | 2.29698i | ||||
\(313\) | 5.77936e8 | − | 3.33671e8i | 1.06531 | − | 0.615055i | 0.138411 | − | 0.990375i | \(-0.455801\pi\) |
0.926895 | + | 0.375320i | \(0.122467\pi\) | |||||||
\(314\) | −1.70543e9 | − | 9.84632e8i | −3.10871 | − | 1.79482i | ||||
\(315\) | −3.61241e8 | − | 2.08562e8i | −0.651193 | − | 0.375967i | ||||
\(316\) | 1.91386e9 | − | 1.10497e9i | 3.41198 | − | 1.96990i | ||||
\(317\) | 7.30715e7 | + | 1.26564e8i | 0.128837 | + | 0.223152i | 0.923226 | − | 0.384257i | \(-0.125542\pi\) |
−0.794389 | + | 0.607409i | \(0.792209\pi\) | |||||||
\(318\) | 3.12489e8 | − | 1.80415e8i | 0.544928 | − | 0.314615i | ||||
\(319\) | 8.10301e8i | 1.39759i | ||||||||
\(320\) | −4.17141e8 | − | 2.40836e8i | −0.711636 | − | 0.410863i | ||||
\(321\) | 3.78964e8 | + | 6.56385e8i | 0.639485 | + | 1.10762i | ||||
\(322\) | 1.13606e9 | 1.89629 | ||||||||
\(323\) | −1.22568e8 | −0.202381 | ||||||||
\(324\) | −7.80541e7 | − | 1.35194e8i | −0.127494 | − | 0.220825i | ||||
\(325\) | − | 4.16971e8i | − | 0.673773i | ||||||
\(326\) | 4.36230e8 | − | 7.55573e8i | 0.697356 | − | 1.20786i | ||||
\(327\) | 2.64302e8i | 0.418007i | ||||||||
\(328\) | −9.67863e8 | − | 5.58796e8i | −1.51445 | − | 0.874369i | ||||
\(329\) | 8.00808e8 | − | 1.38704e9i | 1.23977 | − | 2.14735i | ||||
\(330\) | −2.24189e8 | + | 3.88306e8i | −0.343412 | + | 0.594806i | ||||
\(331\) | 5.48169e7 | − | 3.16485e7i | 0.0830838 | − | 0.0479684i | −0.457883 | − | 0.889013i | \(-0.651392\pi\) |
0.540966 | + | 0.841044i | \(0.318059\pi\) | |||||||
\(332\) | −3.35381e8 | −0.502985 | ||||||||
\(333\) | 8.34165e7 | + | 3.74952e8i | 0.123793 | + | 0.556444i | ||||
\(334\) | −5.22031e8 | −0.766626 | ||||||||
\(335\) | −1.34639e8 | + | 7.77337e7i | −0.195665 | + | 0.112967i | ||||
\(336\) | −9.92687e8 | + | 1.71938e9i | −1.42766 | + | 2.47278i | ||||
\(337\) | −1.12406e8 | + | 1.94693e8i | −0.159987 | + | 0.277106i | −0.934864 | − | 0.355006i | \(-0.884479\pi\) |
0.774876 | + | 0.632113i | \(0.217812\pi\) | |||||||
\(338\) | −1.52391e9 | − | 8.79828e8i | −2.14659 | − | 1.23934i | ||||
\(339\) | − | 5.86762e8i | − | 0.818018i | ||||||
\(340\) | −3.35305e8 | + | 5.80764e8i | −0.462661 | + | 0.801353i | ||||
\(341\) | − | 3.41453e8i | − | 0.466327i | ||||||
\(342\) | −1.55098e8 | − | 2.68638e8i | −0.209660 | − | 0.363141i | ||||
\(343\) | 1.46343e9 | 1.95814 | ||||||||
\(344\) | 2.90503e9 | 3.84766 | ||||||||
\(345\) | −1.08609e8 | − | 1.88116e8i | −0.142396 | − | 0.246637i | ||||
\(346\) | 8.78275e8 | + | 5.07072e8i | 1.13989 | + | 0.658118i | ||||
\(347\) | 1.04063e9i | 1.33703i | 0.743699 | + | 0.668515i | \(0.233070\pi\) | ||||
−0.743699 | + | 0.668515i | \(0.766930\pi\) | |||||||
\(348\) | 2.00341e9 | − | 1.15667e9i | 2.54825 | − | 1.47123i | ||||
\(349\) | 2.55285e8 | + | 4.42167e8i | 0.321467 | + | 0.556798i | 0.980791 | − | 0.195061i | \(-0.0624906\pi\) |
−0.659324 | + | 0.751859i | \(0.729157\pi\) | |||||||
\(350\) | −9.99433e8 | + | 5.77023e8i | −1.24599 | + | 0.719374i | ||||
\(351\) | −1.10462e9 | − | 6.37750e8i | −1.36344 | − | 0.787183i | ||||
\(352\) | −1.03274e9 | − | 5.96254e8i | −1.26210 | − | 0.728671i | ||||
\(353\) | −1.95008e8 | + | 1.12588e8i | −0.235962 | + | 0.136232i | −0.613319 | − | 0.789835i | \(-0.710166\pi\) |
0.377358 | + | 0.926068i | \(0.376833\pi\) | |||||||
\(354\) | 5.07954e6 | + | 8.79801e6i | 0.00608573 | + | 0.0105408i | ||||
\(355\) | −3.04514e8 | + | 1.75811e8i | −0.361250 | + | 0.208568i | ||||
\(356\) | 1.46010e9i | 1.71518i | ||||||||
\(357\) | 4.38600e8 | + | 2.53226e8i | 0.510188 | + | 0.294557i | ||||
\(358\) | −2.00049e8 | − | 3.46495e8i | −0.230434 | − | 0.399123i | ||||
\(359\) | 4.23861e8 | 0.483496 | 0.241748 | − | 0.970339i | \(-0.422279\pi\) | ||||
0.241748 | + | 0.970339i | \(0.422279\pi\) | |||||||
\(360\) | −9.98321e8 | −1.12775 | ||||||||
\(361\) | −3.76400e8 | − | 6.51945e8i | −0.421090 | − | 0.729349i | ||||
\(362\) | 2.76910e9i | 3.06802i | ||||||||
\(363\) | 1.27864e8 | − | 2.21467e8i | 0.140306 | − | 0.243017i | ||||
\(364\) | 6.02667e9i | 6.54972i | ||||||||
\(365\) | 3.71294e8 | + | 2.14367e8i | 0.399662 | + | 0.230745i | ||||
\(366\) | −1.34205e8 | + | 2.32450e8i | −0.143082 | + | 0.247826i | ||||
\(367\) | −3.56503e8 | + | 6.17481e8i | −0.376471 | + | 0.652068i | −0.990546 | − | 0.137180i | \(-0.956196\pi\) |
0.614075 | + | 0.789248i | \(0.289529\pi\) | |||||||
\(368\) | 1.18711e9 | − | 6.85380e8i | 1.24172 | − | 0.716909i | ||||
\(369\) | −3.63743e8 | −0.376879 | ||||||||
\(370\) | −1.28720e9 | − | 4.04804e8i | −1.32111 | − | 0.415469i | ||||
\(371\) | −8.98994e8 | −0.914004 | ||||||||
\(372\) | −8.44217e8 | + | 4.87409e8i | −0.850264 | + | 0.490900i | ||||
\(373\) | −6.46369e8 | + | 1.11954e9i | −0.644911 | + | 1.11702i | 0.339411 | + | 0.940638i | \(0.389772\pi\) |
−0.984322 | + | 0.176380i | \(0.943561\pi\) | |||||||
\(374\) | −3.60892e8 | + | 6.25083e8i | −0.356719 | + | 0.617855i | ||||
\(375\) | 6.24821e8 | + | 3.60741e8i | 0.611852 | + | 0.353253i | ||||
\(376\) | − | 3.83321e9i | − | 3.71882i | ||||||
\(377\) | 1.46998e9 | − | 2.54607e9i | 1.41291 | − | 2.44724i | ||||
\(378\) | 3.53019e9i | 3.36184i | ||||||||
\(379\) | 3.58499e8 | + | 6.20938e8i | 0.338260 | + | 0.585884i | 0.984106 | − | 0.177585i | \(-0.0568283\pi\) |
−0.645846 | + | 0.763468i | \(0.723495\pi\) | |||||||
\(380\) | 7.71843e8 | 0.721584 | ||||||||
\(381\) | −8.96639e8 | −0.830578 | ||||||||
\(382\) | −6.56276e8 | − | 1.13670e9i | −0.602372 | − | 1.04334i | ||||
\(383\) | 1.75093e9 | + | 1.01090e9i | 1.59247 | + | 0.919416i | 0.992881 | + | 0.119112i | \(0.0380046\pi\) |
0.599594 | + | 0.800304i | \(0.295329\pi\) | |||||||
\(384\) | 7.81761e7i | 0.0704555i | ||||||||
\(385\) | 9.67447e8 | − | 5.58556e8i | 0.864002 | − | 0.498832i | ||||
\(386\) | −1.51930e9 | − | 2.63151e9i | −1.34459 | − | 2.32889i | ||||
\(387\) | 8.18829e8 | − | 4.72751e8i | 0.718133 | − | 0.414614i | ||||
\(388\) | 2.00109e9 | + | 1.15533e9i | 1.73922 | + | 1.00414i | ||||
\(389\) | 2.59126e8 | + | 1.49606e8i | 0.223196 | + | 0.128862i | 0.607429 | − | 0.794374i | \(-0.292201\pi\) |
−0.384233 | + | 0.923236i | \(0.625534\pi\) | |||||||
\(390\) | 1.40886e9 | − | 8.13406e8i | 1.20266 | − | 0.694355i | ||||
\(391\) | −1.74834e8 | − | 3.02822e8i | −0.147914 | − | 0.256194i | ||||
\(392\) | 5.76515e9 | − | 3.32851e9i | 4.83403 | − | 2.79093i | ||||
\(393\) | − | 9.08821e8i | − | 0.755274i | ||||||
\(394\) | 2.60954e8 | + | 1.50662e8i | 0.214945 | + | 0.124099i | ||||
\(395\) | 7.43127e8 | + | 1.28713e9i | 0.606699 | + | 1.05083i | ||||
\(396\) | −1.29390e9 | −1.04705 | ||||||||
\(397\) | −1.97995e9 | −1.58813 | −0.794067 | − | 0.607831i | \(-0.792040\pi\) | ||||
−0.794067 | + | 0.607831i | \(0.792040\pi\) | |||||||
\(398\) | −8.25178e8 | − | 1.42925e9i | −0.656080 | − | 1.13636i | ||||
\(399\) | − | 5.82905e8i | − | 0.459402i | ||||||
\(400\) | −6.96233e8 | + | 1.20591e9i | −0.543932 | + | 0.942117i | ||||
\(401\) | − | 1.14985e9i | − | 0.890501i | −0.895406 | − | 0.445251i | \(-0.853115\pi\) | ||
0.895406 | − | 0.445251i | \(-0.146885\pi\) | |||||||
\(402\) | 4.13714e8 | + | 2.38858e8i | 0.317621 | + | 0.183378i | ||||
\(403\) | −6.19434e8 | + | 1.07289e9i | −0.471441 | + | 0.816559i | ||||
\(404\) | 8.50840e8 | − | 1.47370e9i | 0.641967 | − | 1.11192i | ||||
\(405\) | 9.09220e7 | − | 5.24939e7i | 0.0680106 | − | 0.0392659i | ||||
\(406\) | −8.13688e9 | −6.03416 | ||||||||
\(407\) | −9.81335e8 | − | 3.08614e8i | −0.721501 | − | 0.226901i | ||||
\(408\) | 1.21211e9 | 0.883551 | ||||||||
\(409\) | −2.39926e8 | + | 1.38521e8i | −0.173399 | + | 0.100112i | −0.584187 | − | 0.811619i | \(-0.698587\pi\) |
0.410789 | + | 0.911731i | \(0.365253\pi\) | |||||||
\(410\) | 6.38886e8 | − | 1.10658e9i | 0.457804 | − | 0.792941i | ||||
\(411\) | 1.21373e8 | − | 2.10224e8i | 0.0862336 | − | 0.149361i | ||||
\(412\) | −1.40766e9 | − | 8.12713e8i | −0.991648 | − | 0.572528i | ||||
\(413\) | − | 2.53109e7i | − | 0.0176800i | ||||||
\(414\) | 4.42472e8 | − | 7.66383e8i | 0.306467 | − | 0.530817i | ||||
\(415\) | − | 2.25554e8i | − | 0.154911i | ||||||
\(416\) | 2.16334e9 | + | 3.74702e9i | 1.47332 | + | 2.55187i | ||||
\(417\) | 1.05829e9 | 0.714706 | ||||||||
\(418\) | 8.30743e8 | 0.556352 | ||||||||
\(419\) | 3.77818e8 | + | 6.54401e8i | 0.250919 | + | 0.434605i | 0.963779 | − | 0.266702i | \(-0.0859338\pi\) |
−0.712860 | + | 0.701306i | \(0.752600\pi\) | |||||||
\(420\) | −2.76198e9 | − | 1.59463e9i | −1.81906 | − | 1.05024i | ||||
\(421\) | 1.73547e9i | 1.13352i | 0.823882 | + | 0.566761i | \(0.191804\pi\) | ||||
−0.823882 | + | 0.566761i | \(0.808196\pi\) | |||||||
\(422\) | −2.86828e9 | + | 1.65600e9i | −1.85793 | + | 1.07267i | ||||
\(423\) | −6.23798e8 | − | 1.08045e9i | −0.400731 | − | 0.694086i | ||||
\(424\) | −1.86334e9 | + | 1.07580e9i | −1.18716 | + | 0.685410i | ||||
\(425\) | 3.07617e8 | + | 1.77603e8i | 0.194379 | + | 0.112225i | ||||
\(426\) | 9.35702e8 | + | 5.40228e8i | 0.586413 | + | 0.338566i | ||||
\(427\) | 5.79139e8 | − | 3.34366e8i | 0.359986 | − | 0.207838i | ||||
\(428\) | −3.84160e9 | − | 6.65385e9i | −2.36842 | − | 4.10223i | ||||
\(429\) | 1.07409e9 | − | 6.20125e8i | 0.656809 | − | 0.379209i | ||||
\(430\) | 3.32140e9i | 2.01457i | ||||||||
\(431\) | 1.23003e8 | + | 7.10158e7i | 0.0740023 | + | 0.0427253i | 0.536545 | − | 0.843872i | \(-0.319729\pi\) |
−0.462542 | + | 0.886597i | \(0.653063\pi\) | |||||||
\(432\) | 2.12975e9 | + | 3.68884e9i | 1.27097 | + | 2.20139i | ||||
\(433\) | −1.10622e9 | −0.654838 | −0.327419 | − | 0.944879i | \(-0.606179\pi\) | ||||
−0.327419 | + | 0.944879i | \(0.606179\pi\) | |||||||
\(434\) | 3.42880e9 | 2.01339 | ||||||||
\(435\) | 7.77897e8 | + | 1.34736e9i | 0.453116 | + | 0.784820i | ||||
\(436\) | − | 2.67926e9i | − | 1.54815i | ||||||
\(437\) | −2.01227e8 | + | 3.48536e8i | −0.115346 | + | 0.199785i | ||||
\(438\) | − | 1.31740e9i | − | 0.749132i | ||||||
\(439\) | −1.50717e9 | − | 8.70165e8i | −0.850230 | − | 0.490880i | 0.0104986 | − | 0.999945i | \(-0.496658\pi\) |
−0.860728 | + | 0.509065i | \(0.829991\pi\) | |||||||
\(440\) | 1.33681e9 | − | 2.31543e9i | 0.748146 | − | 1.29583i | ||||
\(441\) | 1.08333e9 | − | 1.87639e9i | 0.601487 | − | 1.04181i | ||||
\(442\) | 2.26794e9 | − | 1.30940e9i | 1.24926 | − | 0.721262i | ||||
\(443\) | −2.04343e8 | −0.111673 | −0.0558363 | − | 0.998440i | \(-0.517783\pi\) | ||||
−0.0558363 | + | 0.998440i | \(0.517783\pi\) | |||||||
\(444\) | 6.37786e8 | + | 2.86681e9i | 0.345808 | + | 1.55439i | ||||
\(445\) | −9.81966e8 | −0.528246 | ||||||||
\(446\) | 1.86107e9 | − | 1.07449e9i | 0.993325 | − | 0.573496i | ||||
\(447\) | −8.72110e8 | + | 1.51054e9i | −0.461844 | + | 0.799936i | ||||
\(448\) | 1.84376e9 | − | 3.19349e9i | 0.968795 | − | 1.67800i | ||||
\(449\) | −1.45021e9 | − | 8.37278e8i | −0.756081 | − | 0.436523i | 0.0718061 | − | 0.997419i | \(-0.477124\pi\) |
−0.827887 | + | 0.560895i | \(0.810457\pi\) | |||||||
\(450\) | 8.98956e8i | 0.465045i | ||||||||
\(451\) | 4.87074e8 | − | 8.43637e8i | 0.250021 | − | 0.433050i | ||||
\(452\) | 5.94807e9i | 3.02965i | ||||||||
\(453\) | −2.38309e8 | − | 4.12764e8i | −0.120447 | − | 0.208621i | ||||
\(454\) | 3.42620e9 | 1.71837 | ||||||||
\(455\) | −4.05313e9 | −2.01721 | ||||||||
\(456\) | −6.97545e8 | − | 1.20818e9i | −0.344505 | − | 0.596699i | ||||
\(457\) | 5.33255e8 | + | 3.07875e8i | 0.261353 | + | 0.150893i | 0.624952 | − | 0.780663i | \(-0.285119\pi\) |
−0.363598 | + | 0.931556i | \(0.618452\pi\) | |||||||
\(458\) | 3.38208e8i | 0.164496i | ||||||||
\(459\) | 9.40992e8 | − | 5.43282e8i | 0.454194 | − | 0.262229i | ||||
\(460\) | 1.10098e9 | + | 1.90695e9i | 0.527383 | + | 0.913454i | ||||
\(461\) | 1.20345e9 | − | 6.94813e8i | 0.572105 | − | 0.330305i | −0.185885 | − | 0.982572i | \(-0.559515\pi\) |
0.757990 | + | 0.652267i | \(0.226182\pi\) | |||||||
\(462\) | −2.97274e9 | − | 1.71631e9i | −1.40252 | − | 0.809748i | ||||
\(463\) | −2.21478e8 | − | 1.27871e8i | −0.103704 | − | 0.0598738i | 0.447251 | − | 0.894409i | \(-0.352403\pi\) |
−0.550955 | + | 0.834535i | \(0.685736\pi\) | |||||||
\(464\) | −8.50256e9 | + | 4.90896e9i | −3.95127 | + | 2.28127i | ||||
\(465\) | −3.27798e8 | − | 5.67763e8i | −0.151189 | − | 0.261868i | ||||
\(466\) | −4.65939e9 | + | 2.69010e9i | −2.13294 | + | 1.23145i | ||||
\(467\) | 9.45326e8i | 0.429509i | 0.976668 | + | 0.214755i | \(0.0688952\pi\) | ||||
−0.976668 | + | 0.214755i | \(0.931105\pi\) | |||||||
\(468\) | 4.06559e9 | + | 2.34727e9i | 1.83343 | + | 1.05853i | ||||
\(469\) | −5.95103e8 | − | 1.03075e9i | −0.266371 | − | 0.461369i | ||||
\(470\) | 4.38261e9 | 1.94711 | ||||||||
\(471\) | −2.88258e9 | −1.27118 | ||||||||
\(472\) | −3.02887e7 | − | 5.24616e7i | −0.0132582 | − | 0.0229638i | ||||
\(473\) | 2.53217e9i | 1.10022i | ||||||||
\(474\) | 2.28346e9 | − | 3.95507e9i | 0.984847 | − | 1.70581i | ||||
\(475\) | − | 4.08827e8i | − | 0.175030i | ||||||
\(476\) | −4.44614e9 | − | 2.56698e9i | −1.88955 | − | 1.09093i | ||||
\(477\) | −3.50140e8 | + | 6.06461e8i | −0.147716 | + | 0.255852i | ||||
\(478\) | 1.21343e9 | − | 2.10173e9i | 0.508181 | − | 0.880195i | ||||
\(479\) | −1.74971e8 | + | 1.01020e8i | −0.0727433 | + | 0.0419984i | −0.535930 | − | 0.844262i | \(-0.680039\pi\) |
0.463187 | + | 0.886260i | \(0.346706\pi\) | |||||||
\(480\) | −2.28964e9 | −0.944979 | ||||||||
\(481\) | 2.52362e9 | + | 2.74996e9i | 1.03399 | + | 1.12673i | ||||
\(482\) | 5.69154e9 | 2.31508 | ||||||||
\(483\) | 1.44015e9 | − | 8.31471e8i | 0.581558 | − | 0.335762i | ||||
\(484\) | −1.29617e9 | + | 2.24504e9i | −0.519642 | + | 0.900047i | ||||
\(485\) | −7.76996e8 | + | 1.34580e9i | −0.309259 | + | 0.535653i | ||||
\(486\) | 3.89827e9 | + | 2.25067e9i | 1.54044 | + | 0.889375i | ||||
\(487\) | − | 3.08108e9i | − | 1.20879i | −0.796683 | − | 0.604397i | \(-0.793414\pi\) | ||
0.796683 | − | 0.604397i | \(-0.206586\pi\) | |||||||
\(488\) | 8.00251e8 | − | 1.38607e9i | 0.311714 | − | 0.539905i | ||||
\(489\) | − | 1.27709e9i | − | 0.493903i | ||||||
\(490\) | 3.80557e9 | + | 6.59145e9i | 1.46128 | + | 2.53101i | ||||
\(491\) | 4.57155e9 | 1.74292 | 0.871462 | − | 0.490462i | \(-0.163172\pi\) | ||||
0.871462 | + | 0.490462i | \(0.163172\pi\) | |||||||
\(492\) | −2.78111e9 | −1.05279 | ||||||||
\(493\) | 1.25223e9 | + | 2.16893e9i | 0.470675 | + | 0.815232i | ||||
\(494\) | −2.61030e9 | − | 1.50706e9i | −0.974197 | − | 0.562453i | ||||
\(495\) | − | 8.70186e8i | − | 0.322473i | ||||||
\(496\) | 3.58290e9 | − | 2.06859e9i | 1.31840 | − | 0.761181i | ||||
\(497\) | −1.34595e9 | − | 2.33126e9i | −0.491793 | − | 0.851810i | ||||
\(498\) | −6.00222e8 | + | 3.46538e8i | −0.217776 | + | 0.125733i | ||||
\(499\) | 2.66431e8 | + | 1.53824e8i | 0.0959917 | + | 0.0554208i | 0.547227 | − | 0.836984i | \(-0.315683\pi\) |
−0.451236 | + | 0.892405i | \(0.649017\pi\) | |||||||
\(500\) | −6.33389e9 | − | 3.65687e9i | −2.26608 | − | 1.30832i | ||||
\(501\) | −6.61766e8 | + | 3.82071e8i | −0.235111 | + | 0.135741i | ||||
\(502\) | −2.48025e9 | − | 4.29593e9i | −0.875051 | − | 1.51563i | ||||
\(503\) | −2.44050e9 | + | 1.40902e9i | −0.855049 | + | 0.493663i | −0.862351 | − | 0.506310i | \(-0.831009\pi\) |
0.00730200 | + | 0.999973i | \(0.497676\pi\) | |||||||
\(504\) | − | 7.64281e9i | − | 2.65917i | ||||||
\(505\) | 9.91109e8 | + | 5.72217e8i | 0.342453 | + | 0.197716i | ||||
\(506\) | 1.18499e9 | + | 2.05247e9i | 0.406620 | + | 0.704287i | ||||
\(507\) | −2.57576e9 | −0.877762 | ||||||||
\(508\) | 9.08933e9 | 3.07616 | ||||||||
\(509\) | −5.66010e8 | − | 9.80358e8i | −0.190244 | − | 0.329513i | 0.755087 | − | 0.655625i | \(-0.227595\pi\) |
−0.945331 | + | 0.326112i | \(0.894261\pi\) | |||||||
\(510\) | 1.38584e9i | 0.462612i | ||||||||
\(511\) | −1.64112e9 | + | 2.84250e9i | −0.544086 | + | 0.942384i | ||||
\(512\) | 5.38566e9i | 1.77335i | ||||||||
\(513\) | −1.08304e9 | − | 6.25295e8i | −0.354189 | − | 0.204491i | ||||
\(514\) | 1.04682e9 | − | 1.81314e9i | 0.340016 | − | 0.588925i | ||||
\(515\) | 5.46575e8 | − | 9.46696e8i | 0.176329 | − | 0.305411i | ||||
\(516\) | 6.26061e9 | − | 3.61456e9i | 2.00605 | − | 1.15820i | ||||
\(517\) | 3.34121e9 | 1.06338 | ||||||||
\(518\) | 3.09904e9 | − | 9.85437e9i | 0.979656 | − | 3.11512i | ||||
\(519\) | 1.48449e9 | 0.466113 | ||||||||
\(520\) | −8.40089e9 | + | 4.85025e9i | −2.62007 | + | 1.51270i | ||||
\(521\) | −5.76385e8 | + | 9.98328e8i | −0.178558 | + | 0.309272i | −0.941387 | − | 0.337329i | \(-0.890477\pi\) |
0.762829 | + | 0.646601i | \(0.223810\pi\) | |||||||
\(522\) | −3.16915e9 | + | 5.48914e9i | −0.975206 | + | 1.68911i | ||||
\(523\) | −6.11147e8 | − | 3.52846e8i | −0.186806 | − | 0.107852i | 0.403681 | − | 0.914900i | \(-0.367731\pi\) |
−0.590486 | + | 0.807048i | \(0.701064\pi\) | |||||||
\(524\) | 9.21282e9i | 2.79726i | ||||||||
\(525\) | −8.44637e8 | + | 1.46295e9i | −0.254749 | + | 0.441238i | ||||
\(526\) | − | 1.51967e9i | − | 0.455302i | ||||||
\(527\) | −5.27679e8 | − | 9.13966e8i | −0.157048 | − | 0.272015i | ||||
\(528\) | −4.14179e9 | −1.22453 | ||||||||
\(529\) | 2.25668e9 | 0.662789 | ||||||||
\(530\) | −1.22999e9 | − | 2.13040e9i | −0.358869 | − | 0.621579i | ||||
\(531\) | −1.70747e7 | − | 9.85808e6i | −0.00494905 | − | 0.00285734i | ||||
\(532\) | 5.90898e9i | 1.70146i | ||||||||
\(533\) | −3.06090e9 | + | 1.76721e9i | −0.875597 | + | 0.505526i | ||||
\(534\) | 1.50868e9 | + | 2.61311e9i | 0.428748 | + | 0.742614i | ||||
\(535\) | 4.47492e9 | − | 2.58360e9i | 1.26342 | − | 0.729435i | ||||
\(536\) | −2.46693e9 | − | 1.42428e9i | −0.691959 | − | 0.399503i | ||||
\(537\) | −5.07194e8 | − | 2.92829e8i | −0.141340 | − | 0.0816026i | ||||
\(538\) | 1.09573e10 | − | 6.32621e9i | 3.03366 | − | 1.75148i | ||||
\(539\) | 2.90129e9 | + | 5.02519e9i | 0.798052 | + | 1.38227i | ||||
\(540\) | −5.92566e9 | + | 3.42118e9i | −1.61942 | + | 0.934971i | ||||
\(541\) | − | 4.01948e9i | − | 1.09139i | −0.837985 | − | 0.545694i | \(-0.816266\pi\) | ||
0.837985 | − | 0.545694i | \(-0.183734\pi\) | |||||||
\(542\) | −7.87958e9 | − | 4.54928e9i | −2.12572 | − | 1.22728i | ||||
\(543\) | 2.02668e9 | + | 3.51031e9i | 0.543233 | + | 0.940906i | ||||
\(544\) | −3.68578e9 | −0.981598 | ||||||||
\(545\) | 1.80189e9 | 0.476804 | ||||||||
\(546\) | 6.22717e9 | + | 1.07858e10i | 1.63726 | + | 2.83581i | ||||
\(547\) | − | 2.68393e9i | − | 0.701156i | −0.936533 | − | 0.350578i | \(-0.885985\pi\) | ||
0.936533 | − | 0.350578i | \(-0.114015\pi\) | |||||||
\(548\) | −1.23037e9 | + | 2.13107e9i | −0.319378 | + | 0.553179i | ||||
\(549\) | − | 5.20916e8i | − | 0.134358i | ||||||
\(550\) | −2.08497e9 | − | 1.20376e9i | −0.534355 | − | 0.308510i | ||||
\(551\) | 1.44127e9 | − | 2.49635e9i | 0.367041 | − | 0.635733i | ||||
\(552\) | 1.98999e9 | − | 3.44677e9i | 0.503575 | − | 0.872218i | ||||
\(553\) | −9.85386e9 | + | 5.68913e9i | −2.47781 | + | 1.43057i | ||||
\(554\) | 2.27064e9 | 0.567367 | ||||||||
\(555\) | −1.92802e9 | + | 4.28931e8i | −0.478726 | + | 0.106503i | ||||
\(556\) | −1.07280e10 | −2.64701 | ||||||||
\(557\) | −6.41689e8 | + | 3.70480e8i | −0.157337 | + | 0.0908387i | −0.576601 | − | 0.817026i | \(-0.695621\pi\) |
0.419264 | + | 0.907864i | \(0.362288\pi\) | |||||||
\(558\) | 1.33545e9 | − | 2.31307e9i | 0.325393 | − | 0.563597i | ||||
\(559\) | 4.59364e9 | − | 7.95642e9i | 1.11228 | − | 1.92653i | ||||
\(560\) | 1.17220e10 | + | 6.76767e9i | 2.82060 | + | 1.62848i | ||||
\(561\) | 1.05654e9i | 0.252647i | ||||||||
\(562\) | −1.77783e9 | + | 3.07929e9i | −0.422486 | + | 0.731767i | ||||
\(563\) | 2.85913e9i | 0.675235i | 0.941283 | + | 0.337617i | \(0.109621\pi\) | ||||
−0.941283 | + | 0.337617i | \(0.890379\pi\) | |||||||
\(564\) | −4.76943e9 | − | 8.26090e9i | −1.11941 | − | 1.93888i | ||||
\(565\) | −4.00027e9 | −0.933081 | ||||||||
\(566\) | 1.31813e10 | 3.05563 | ||||||||
\(567\) | 4.01876e8 | + | 6.96069e8i | 0.0925872 | + | 0.160366i | ||||
\(568\) | −5.57949e9 | − | 3.22132e9i | −1.27754 | − | 0.737589i | ||||
\(569\) | 3.04913e9i | 0.693879i | 0.937888 | + | 0.346939i | \(0.112779\pi\) | ||||
−0.937888 | + | 0.346939i | \(0.887221\pi\) | |||||||
\(570\) | 1.38135e9 | − | 7.97521e8i | 0.312421 | − | 0.180377i | ||||
\(571\) | −3.10236e8 | − | 5.37345e8i | −0.0697375 | − | 0.120789i | 0.829048 | − | 0.559177i | \(-0.188883\pi\) |
−0.898786 | + | 0.438388i | \(0.855550\pi\) | |||||||
\(572\) | −1.08881e10 | + | 6.28628e9i | −2.43258 | + | 1.40445i | ||||
\(573\) | −1.66389e9 | − | 9.60647e8i | −0.369473 | − | 0.213316i | ||||
\(574\) | 8.47163e9 | + | 4.89110e9i | 1.86972 | + | 1.07948i | ||||
\(575\) | 1.01007e9 | − | 5.83162e8i | 0.221571 | − | 0.127924i | ||||
\(576\) | −1.43622e9 | − | 2.48760e9i | −0.313142 | − | 0.542378i | ||||
\(577\) | −3.57859e8 | + | 2.06610e8i | −0.0775526 | + | 0.0447750i | −0.538275 | − | 0.842769i | \(-0.680924\pi\) |
0.460722 | + | 0.887544i | \(0.347590\pi\) | |||||||
\(578\) | − | 6.36519e9i | − | 1.37108i | ||||||
\(579\) | −3.85196e9 | − | 2.22393e9i | −0.824721 | − | 0.476153i | ||||
\(580\) | −7.88563e9 | − | 1.36583e10i | −1.67818 | − | 2.90669i | ||||
\(581\) | 1.72677e9 | 0.365273 | ||||||||
\(582\) | 4.77506e9 | 1.00403 | ||||||||
\(583\) | −9.37718e8 | − | 1.62418e9i | −0.195989 | − | 0.339464i | ||||
\(584\) | 7.85551e9i | 1.63204i | ||||||||
\(585\) | −1.57861e9 | + | 2.73424e9i | −0.326010 | + | 0.564665i | ||||
\(586\) | − | 1.89403e9i | − | 0.388816i | ||||||
\(587\) | 8.14900e9 | + | 4.70483e9i | 1.66292 | + | 0.960087i | 0.971311 | + | 0.237814i | \(0.0764308\pi\) |
0.691608 | + | 0.722273i | \(0.256903\pi\) | |||||||
\(588\) | 8.28294e9 | − | 1.43465e10i | 1.68021 | − | 2.91021i | ||||
\(589\) | −6.07336e8 | + | 1.05194e9i | −0.122469 | + | 0.212122i | ||||
\(590\) | 5.99807e7 | − | 3.46299e7i | 0.0120235 | − | 0.00694175i | ||||
\(591\) | 4.41074e8 | 0.0878931 | ||||||||
\(592\) | −2.70679e9 | − | 1.21669e10i | −0.536203 | − | 2.41020i | ||||
\(593\) | 4.95745e9 | 0.976264 | 0.488132 | − | 0.872770i | \(-0.337678\pi\) | ||||
0.488132 | + | 0.872770i | \(0.337678\pi\) | |||||||
\(594\) | −6.37785e9 | + | 3.68225e9i | −1.24860 | + | 0.720877i | ||||
\(595\) | 1.72638e9 | − | 2.99017e9i | 0.335990 | − | 0.581951i | ||||
\(596\) | 8.84068e9 | − | 1.53125e10i | 1.71050 | − | 2.96268i | ||||
\(597\) | −2.09211e9 | − | 1.20788e9i | −0.402416 | − | 0.232335i | ||||
\(598\) | − | 8.59884e9i | − | 1.64432i | ||||||
\(599\) | 3.35182e8 | − | 5.80553e8i | 0.0637217 | − | 0.110369i | −0.832405 | − | 0.554168i | \(-0.813036\pi\) |
0.896126 | + | 0.443799i | \(0.146370\pi\) | |||||||
\(600\) | 4.04300e9i | 0.764143i | ||||||||
\(601\) | 2.49141e8 | + | 4.31525e8i | 0.0468150 | + | 0.0810859i | 0.888483 | − | 0.458909i | \(-0.151760\pi\) |
−0.841668 | + | 0.539995i | \(0.818426\pi\) | |||||||
\(602\) | −2.54276e10 | −4.75025 | ||||||||
\(603\) | −9.27124e8 | −0.172198 | ||||||||
\(604\) | 2.41577e9 | + | 4.18423e9i | 0.446093 | + | 0.772656i | ||||
\(605\) | −1.50986e9 | − | 8.71718e8i | −0.277200 | − | 0.160041i | ||||
\(606\) | − | 3.51658e9i | − | 0.641899i | ||||||
\(607\) | −3.13262e9 | + | 1.80862e9i | −0.568523 | + | 0.328237i | −0.756559 | − | 0.653925i | \(-0.773121\pi\) |
0.188036 | + | 0.982162i | \(0.439788\pi\) | |||||||
\(608\) | 2.12109e9 | + | 3.67384e9i | 0.382734 | + | 0.662915i | ||||
\(609\) | −1.03149e10 | + | 5.95532e9i | −1.85057 | + | 1.06843i | ||||
\(610\) | 1.58474e9 | + | 9.14948e8i | 0.282685 | + | 0.163208i | ||||
\(611\) | −1.04985e10 | − | 6.06133e9i | −1.86202 | − | 1.07504i | ||||
\(612\) | −3.46337e9 | + | 1.99958e9i | −0.610757 | + | 0.352621i | ||||
\(613\) | 4.87077e9 | + | 8.43642e9i | 0.854055 | + | 1.47927i | 0.877519 | + | 0.479542i | \(0.159197\pi\) |
−0.0234639 | + | 0.999725i | \(0.507469\pi\) | |||||||
\(614\) | 3.62604e9 | − | 2.09350e9i | 0.632184 | − | 0.364992i | ||||
\(615\) | − | 1.87038e9i | − | 0.324241i | ||||||
\(616\) | 1.77261e10 | + | 1.02342e10i | 3.05550 | + | 1.76409i | ||||
\(617\) | 1.09213e9 | + | 1.89162e9i | 0.187187 | + | 0.324217i | 0.944311 | − | 0.329054i | \(-0.106730\pi\) |
−0.757125 | + | 0.653271i | \(0.773396\pi\) | |||||||
\(618\) | −3.35900e9 | −0.572467 | ||||||||
\(619\) | 3.32301e9 | 0.563137 | 0.281569 | − | 0.959541i | \(-0.409145\pi\) | ||||
0.281569 | + | 0.959541i | \(0.409145\pi\) | |||||||
\(620\) | 3.32293e9 | + | 5.75548e9i | 0.559951 | + | 0.969863i | ||||
\(621\) | − | 3.56775e9i | − | 0.597824i | ||||||
\(622\) | −7.43116e8 | + | 1.28711e9i | −0.123820 | + | 0.214462i | ||||
\(623\) | − | 7.51761e9i | − | 1.24558i | ||||||
\(624\) | 1.30141e10 | + | 7.51367e9i | 2.14421 | + | 1.23796i | ||||
\(625\) | 1.11480e9 | − | 1.93089e9i | 0.182649 | − | 0.316357i | ||||
\(626\) | −6.98998e9 | + | 1.21070e10i | −1.13885 | + | 1.97254i | ||||
\(627\) | 1.05311e9 | − | 6.08014e8i | 0.170623 | − | 0.0985093i | ||||
\(628\) | 2.92210e10 | 4.70800 | ||||||||
\(629\) | −3.10367e9 | + | 6.90480e8i | −0.497276 | + | 0.110630i | ||||
\(630\) | 8.73823e9 | 1.39230 | ||||||||
\(631\) | 2.45435e9 | − | 1.41702e9i | 0.388897 | − | 0.224530i | −0.292785 | − | 0.956178i | \(-0.594582\pi\) |
0.681682 | + | 0.731649i | \(0.261249\pi\) | |||||||
\(632\) | −1.36160e10 | + | 2.35836e10i | −2.14556 | + | 3.71621i | ||||
\(633\) | −2.42403e9 | + | 4.19855e9i | −0.379862 | + | 0.657940i | ||||
\(634\) | −2.65134e9 | − | 1.53075e9i | −0.413194 | − | 0.238558i | ||||
\(635\) | 6.11286e9i | 0.947407i | ||||||||
\(636\) | −2.67710e9 | + | 4.63688e9i | −0.412634 | + | 0.714704i | ||||
\(637\) | − | 2.10531e10i | − | 3.22721i | ||||||
\(638\) | −8.48738e9 | − | 1.47006e10i | −1.29390 | − | 2.24110i | ||||
\(639\) | −2.09689e9 | −0.317923 | ||||||||
\(640\) | 5.32968e8 | 0.0803658 | ||||||||
\(641\) | −1.52951e9 | − | 2.64918e9i | −0.229376 | − | 0.397291i | 0.728247 | − | 0.685314i | \(-0.240335\pi\) |
−0.957623 | + | 0.288024i | \(0.907002\pi\) | |||||||
\(642\) | −1.37504e10 | − | 7.93881e9i | −2.05089 | − | 1.18408i | ||||
\(643\) | 6.67773e9i | 0.990582i | 0.868727 | + | 0.495291i | \(0.164939\pi\) | ||||
−0.868727 | + | 0.495291i | \(0.835061\pi\) | |||||||
\(644\) | −1.45990e10 | + | 8.42871e9i | −2.15388 | + | 1.24354i | ||||
\(645\) | 2.43091e9 | + | 4.21046e9i | 0.356705 | + | 0.617832i | ||||
\(646\) | 2.22365e9 | − | 1.28382e9i | 0.324528 | − | 0.187366i | ||||
\(647\) | 1.99698e9 | + | 1.15296e9i | 0.289874 | + | 0.167359i | 0.637885 | − | 0.770132i | \(-0.279809\pi\) |
−0.348011 | + | 0.937490i | \(0.613143\pi\) | |||||||
\(648\) | 1.66593e9 | + | 9.61824e8i | 0.240516 | + | 0.138862i | ||||
\(649\) | 4.57281e7 | − | 2.64011e7i | 0.00656639 | − | 0.00379111i | ||||
\(650\) | 4.36750e9 | + | 7.56473e9i | 0.623786 | + | 1.08043i | ||||
\(651\) | 4.34660e9 | − | 2.50951e9i | 0.617471 | − | 0.356497i | ||||
\(652\) | 1.29461e10i | 1.82924i | ||||||||
\(653\) | 1.08367e10 | + | 6.25658e9i | 1.52301 | + | 0.879308i | 0.999630 | + | 0.0272062i | \(0.00866106\pi\) |
0.523376 | + | 0.852102i | \(0.324672\pi\) | |||||||
\(654\) | −2.76839e9 | − | 4.79500e9i | −0.386995 | − | 0.670296i | ||||
\(655\) | −6.19592e9 | −0.861511 | ||||||||
\(656\) | 1.18032e10 | 1.63243 | ||||||||
\(657\) | 1.27837e9 | + | 2.21420e9i | 0.175864 | + | 0.304606i | ||||
\(658\) | 3.35518e10i | 4.59119i | ||||||||
\(659\) | 5.60640e9 | − | 9.71057e9i | 0.763107 | − | 1.32174i | −0.178135 | − | 0.984006i | \(-0.557006\pi\) |
0.941242 | − | 0.337733i | \(-0.109660\pi\) | |||||||
\(660\) | − | 6.65327e9i | − | 0.900806i | ||||||
\(661\) | −7.70671e9 | − | 4.44947e9i | −1.03792 | − | 0.599243i | −0.118676 | − | 0.992933i | \(-0.537865\pi\) |
−0.919243 | + | 0.393690i | \(0.871198\pi\) | |||||||
\(662\) | −6.62996e8 | + | 1.14834e9i | −0.0888194 | + | 0.153840i | ||||
\(663\) | 1.91667e9 | − | 3.31977e9i | 0.255417 | − | 0.442396i | ||||
\(664\) | 3.57906e9 | − | 2.06637e9i | 0.474439 | − | 0.273918i | ||||
\(665\) | −3.97397e9 | −0.524022 | ||||||||
\(666\) | −5.44074e9 | − | 5.92870e9i | −0.713671 | − | 0.777677i | ||||
\(667\) | 8.22345e9 | 1.07303 | ||||||||
\(668\) | 6.70839e9 | − | 3.87309e9i | 0.870765 | − | 0.502736i | ||||
\(669\) | 1.57282e9 | − | 2.72421e9i | 0.203090 | − | 0.351762i | ||||
\(670\) | 1.62842e9 | − | 2.82051e9i | 0.209173 | − | 0.362298i | ||||
\(671\) | 1.20817e9 | + | 6.97538e8i | 0.154383 | + | 0.0891331i | ||||
\(672\) | − | 1.75287e10i | − | 2.22822i | ||||||
\(673\) | −3.86871e9 | + | 6.70080e9i | −0.489230 | + | 0.847372i | −0.999923 | − | 0.0123912i | \(-0.996056\pi\) |
0.510693 | + | 0.859763i | \(0.329389\pi\) | |||||||
\(674\) | − | 4.70953e9i | − | 0.592473i | ||||||
\(675\) | 1.81212e9 | + | 3.13869e9i | 0.226790 | + | 0.392812i | ||||
\(676\) | 2.61107e10 | 3.25092 | ||||||||
\(677\) | 4.68586e9 | 0.580402 | 0.290201 | − | 0.956966i | \(-0.406278\pi\) | ||||
0.290201 | + | 0.956966i | \(0.406278\pi\) | |||||||
\(678\) | 6.14595e9 | + | 1.06451e10i | 0.757330 | + | 1.31173i | ||||
\(679\) | −1.03030e10 | − | 5.94842e9i | −1.26304 | − | 0.729218i | ||||
\(680\) | − | 8.26360e9i | − | 1.00783i | ||||||
\(681\) | 4.34331e9 | − | 2.50761e9i | 0.526994 | − | 0.304260i | ||||
\(682\) | 3.57650e9 | + | 6.19468e9i | 0.431731 | + | 0.747779i | ||||
\(683\) | 1.88980e9 | − | 1.09108e9i | 0.226957 | − | 0.131034i | −0.382210 | − | 0.924075i | \(-0.624837\pi\) |
0.609167 | + | 0.793042i | \(0.291504\pi\) | |||||||
\(684\) | 3.98619e9 | + | 2.30143e9i | 0.476280 | + | 0.274980i | ||||
\(685\) | −1.43321e9 | − | 8.27465e8i | −0.170370 | − | 0.0983632i | ||||
\(686\) | −2.65498e10 | + | 1.53285e10i | −3.13998 | + | 1.81287i | ||||
\(687\) | 2.47532e8 | + | 4.28738e8i | 0.0291261 | + | 0.0504479i | ||||
\(688\) | −2.65703e10 | + | 1.53404e10i | −3.11055 | + | 1.79588i | ||||
\(689\) | 6.80450e9i | 0.792554i | ||||||||
\(690\) | 3.94078e9 | + | 2.27521e9i | 0.456678 | + | 0.263663i | ||||
\(691\) | −7.15477e9 | − | 1.23924e10i | −0.824941 | − | 1.42884i | −0.901964 | − | 0.431810i | \(-0.857875\pi\) |
0.0770237 | − | 0.997029i | \(-0.475458\pi\) | |||||||
\(692\) | −1.50484e10 | −1.72632 | ||||||||
\(693\) | 6.66185e9 | 0.760377 | ||||||||
\(694\) | −1.08999e10 | − | 1.88791e10i | −1.23784 | − | 2.14400i | ||||
\(695\) | − | 7.21490e9i | − | 0.815237i | ||||||
\(696\) | −1.42531e10 | + | 2.46871e10i | −1.60242 | + | 2.77548i | ||||
\(697\) | − | 3.01088e9i | − | 0.336805i | ||||||
\(698\) | −9.26283e9 | − | 5.34790e9i | −1.03098 | − | 0.595236i | ||||
\(699\) | −3.93772e9 | + | 6.82034e9i | −0.436089 | + | 0.755328i | ||||
\(700\) | 8.56218e9 | − | 1.48301e10i | 0.943498 | − | 1.63419i | ||||
\(701\) | 5.62777e9 | − | 3.24920e9i | 0.617055 | − | 0.356257i | −0.158667 | − | 0.987332i | \(-0.550720\pi\) |
0.775721 | + | 0.631076i | \(0.217386\pi\) | |||||||
\(702\) | 2.67201e10 | 2.91513 | ||||||||
\(703\) | 2.47434e9 | + | 2.69625e9i | 0.268606 | + | 0.292696i | ||||
\(704\) | 7.69274e9 | 0.830953 | ||||||||
\(705\) | 5.55572e9 | − | 3.20760e9i | 0.597143 | − | 0.344761i | ||||
\(706\) | 2.35857e9 | − | 4.08517e9i | 0.252251 | − | 0.436912i | ||||
\(707\) | −4.38070e9 | + | 7.58760e9i | −0.466204 | + | 0.807488i | ||||
\(708\) | −1.30550e8 | − | 7.53729e7i | −0.0138248 | − | 0.00798177i | ||||
\(709\) | 7.54554e9i | 0.795113i | 0.917578 | + | 0.397556i | \(0.130142\pi\) | ||||
−0.917578 | + | 0.397556i | \(0.869858\pi\) | |||||||
\(710\) | 3.68302e9 | − | 6.37917e9i | 0.386189 | − | 0.668899i | ||||
\(711\) | 8.86322e9i | 0.924800i | ||||||||
\(712\) | −8.99609e9 | − | 1.55817e10i | −0.934058 | − | 1.61784i | ||||
\(713\) | −3.46528e9 | −0.358035 | ||||||||
\(714\) | −1.06095e10 | −1.09082 | ||||||||
\(715\) | −4.22772e9 | − | 7.32263e9i | −0.432549 | − | 0.749196i | ||||
\(716\) | 5.14149e9 | + | 2.96844e9i | 0.523472 | + | 0.302226i | ||||
\(717\) | − | 3.55241e9i | − | 0.359920i | ||||||
\(718\) | −7.68973e9 | + | 4.43967e9i | −0.775311 | + | 0.447626i | ||||
\(719\) | 6.12789e9 | + | 1.06138e10i | 0.614837 | + | 1.06493i | 0.990413 | + | 0.138137i | \(0.0441115\pi\) |
−0.375576 | + | 0.926791i | \(0.622555\pi\) | |||||||
\(720\) | 9.13094e9 | − | 5.27175e9i | 0.911700 | − | 0.526370i | ||||
\(721\) | 7.24759e9 | + | 4.18440e9i | 0.720145 | + | 0.415776i | ||||
\(722\) | 1.36574e10 | + | 7.88510e9i | 1.35048 | + | 0.779699i | ||||
\(723\) | 7.21503e9 | − | 4.16560e9i | 0.709993 | − | 0.409914i | ||||
\(724\) | −2.05447e10 | − | 3.55844e10i | −2.01194 | − | 3.48478i | ||||
\(725\) | −7.23448e9 | + | 4.17683e9i | −0.705058 | + | 0.407065i | ||||
\(726\) | 5.35718e9i | 0.519587i | ||||||||
\(727\) | −1.17166e10 | − | 6.76460e9i | −1.13092 | − | 0.652938i | −0.186755 | − | 0.982407i | \(-0.559797\pi\) |
−0.944166 | + | 0.329469i | \(0.893130\pi\) | |||||||
\(728\) | −3.71319e10 | − | 6.43144e10i | −3.56687 | − | 6.17801i | ||||
\(729\) | 7.68730e9 | 0.734899 | ||||||||
\(730\) | −8.98142e9 | −0.854505 | ||||||||
\(731\) | 3.91320e9 | + | 6.77786e9i | 0.370528 | + | 0.641773i | ||||
\(732\) | − | 3.98282e9i | − | 0.375320i | ||||||
\(733\) | −1.79773e9 | + | 3.11376e9i | −0.168601 | + | 0.292026i | −0.937928 | − | 0.346829i | \(-0.887258\pi\) |
0.769327 | + | 0.638855i | \(0.220592\pi\) | |||||||
\(734\) | − | 1.49366e10i | − | 1.39417i | ||||||
\(735\) | 9.64846e9 | + | 5.57054e9i | 0.896298 | + | 0.517478i | ||||
\(736\) | −6.05116e9 | + | 1.04809e10i | −0.559456 | + | 0.969007i | ||||
\(737\) | 1.24148e9 | − | 2.15030e9i | 0.114236 | − | 0.197862i | ||||
\(738\) | 6.59907e9 | − | 3.80997e9i | 0.604346 | − | 0.348919i | ||||
\(739\) | −1.29869e9 | −0.118372 | −0.0591860 | − | 0.998247i | \(-0.518851\pi\) | ||||
−0.0591860 | + | 0.998247i | \(0.518851\pi\) | |||||||
\(740\) | 1.95446e10 | − | 4.34813e9i | 1.77303 | − | 0.394449i | ||||
\(741\) | −4.41202e9 | −0.398358 | ||||||||
\(742\) | 1.63096e10 | − | 9.41638e9i | 1.46565 | − | 0.846195i | ||||
\(743\) | 4.96857e9 | − | 8.60582e9i | 0.444397 | − | 0.769718i | −0.553613 | − | 0.832774i | \(-0.686751\pi\) |
0.998010 | + | 0.0630563i | \(0.0200848\pi\) | |||||||
\(744\) | 6.00611e9 | − | 1.04029e10i | 0.534673 | − | 0.926081i | ||||
\(745\) | 1.02981e10 | + | 5.94564e9i | 0.912456 | + | 0.526807i | ||||
\(746\) | − | 2.70812e10i | − | 2.38826i | ||||||
\(747\) | 6.72543e8 | − | 1.16488e9i | 0.0590334 | − | 0.102249i | ||||
\(748\) | − | 1.07102e10i | − | 0.935713i | ||||||
\(749\) | 1.97792e10 | + | 3.42585e10i | 1.71997 | + | 2.97908i | ||||
\(750\) | −1.51141e10 | −1.30818 | ||||||||
\(751\) | 5.32727e9 | 0.458950 | 0.229475 | − | 0.973315i | \(-0.426299\pi\) | ||||
0.229475 | + | 0.973315i | \(0.426299\pi\) | |||||||
\(752\) | 2.02417e10 | + | 3.50596e10i | 1.73574 | + | 3.00639i | ||||
\(753\) | −6.28831e9 | − | 3.63056e9i | −0.536725 | − | 0.309878i | ||||
\(754\) | 6.15882e10i | 5.23236i | ||||||||
\(755\) | −2.81403e9 | + | 1.62468e9i | −0.237966 | + | 0.137390i | ||||
\(756\) | −2.61914e10 | − | 4.53649e10i | −2.20462 | − | 3.81851i | ||||
\(757\) | 4.03384e9 | − | 2.32894e9i | 0.337974 | − | 0.195129i | −0.321402 | − | 0.946943i | \(-0.604154\pi\) |
0.659376 | + | 0.751814i | \(0.270821\pi\) | |||||||
\(758\) | −1.30079e10 | − | 7.51009e9i | −1.08483 | − | 0.626330i | ||||
\(759\) | 3.00437e9 | + | 1.73457e9i | 0.249406 | + | 0.143995i | ||||
\(760\) | −8.23682e9 | + | 4.75553e9i | −0.680632 | + | 0.392963i | ||||
\(761\) | 6.18568e9 | + | 1.07139e10i | 0.508793 | + | 0.881255i | 0.999948 | + | 0.0101830i | \(0.00324141\pi\) |
−0.491155 | + | 0.871072i | \(0.663425\pi\) | |||||||
\(762\) | 1.62669e10 | − | 9.39172e9i | 1.33187 | − | 0.768958i | ||||
\(763\) | 1.37946e10i | 1.12428i | ||||||||
\(764\) | 1.68670e10 | + | 9.73819e9i | 1.36840 | + | 0.790044i | ||||
\(765\) | −1.34478e9 | − | 2.32922e9i | −0.108601 | − | 0.188103i | ||||
\(766\) | −4.23541e10 | −3.40482 | ||||||||
\(767\) | −1.91578e8 | −0.0153307 | ||||||||
\(768\) | 3.70289e9 | + | 6.41359e9i | 0.294969 | + | 0.510901i | ||||
\(769\) | − | 1.54111e10i | − | 1.22205i | −0.791610 | − | 0.611027i | \(-0.790757\pi\) | ||
0.791610 | − | 0.611027i | \(-0.209243\pi\) | |||||||
\(770\) | −1.17010e10 | + | 2.02668e10i | −0.923648 | + | 1.59980i | ||||
\(771\) | − | 3.06463e9i | − | 0.240817i | ||||||
\(772\) | 3.90478e10 | + | 2.25442e10i | 3.05447 | + | 1.76350i | ||||
\(773\) | −2.21450e9 | + | 3.83563e9i | −0.172444 | + | 0.298682i | −0.939274 | − | 0.343169i | \(-0.888500\pi\) |
0.766830 | + | 0.641851i | \(0.221833\pi\) | |||||||
\(774\) | −9.90353e9 | + | 1.71534e10i | −0.767709 | + | 1.32971i | ||||
\(775\) | 3.04854e9 | − | 1.76008e9i | 0.235253 | − | 0.135824i | ||||
\(776\) | −2.84732e10 | −2.18736 | ||||||||
\(777\) | −3.28376e9 | − | 1.47603e10i | −0.251129 | − | 1.12881i | ||||
\(778\) | −6.26812e9 | −0.477209 | ||||||||
\(779\) | −3.00113e9 | + | 1.73270e9i | −0.227459 | + | 0.131324i | ||||
\(780\) | −1.20698e10 | + | 2.09055e10i | −0.910685 | + | 1.57735i | ||||
\(781\) | 2.80786e9 | − | 4.86336e9i | 0.210910 | − | 0.365306i | ||||
\(782\) | 6.34373e9 | + | 3.66256e9i | 0.474375 | + | 0.273880i | ||||
\(783\) | 2.55536e10i | 1.90233i | ||||||||
\(784\) | −3.51532e10 | + | 6.08871e10i | −2.60530 | + | 4.51252i | ||||
\(785\) | 1.96521e10i | 1.44999i | ||||||||
\(786\) | 9.51932e9 | + | 1.64879e10i | 0.699241 | + | 1.21112i | ||||
\(787\) | 1.16148e10 | 0.849376 | 0.424688 | − | 0.905340i | \(-0.360384\pi\) | ||||
0.424688 | + | 0.905340i | \(0.360384\pi\) | |||||||
\(788\) | −4.47121e9 | −0.325524 | ||||||||
\(789\) | −1.11224e9 | − | 1.92645e9i | −0.0806171 | − | 0.139633i | ||||
\(790\) | −2.69638e10 | − | 1.55675e10i | −1.94575 | − | 1.12338i | ||||
\(791\) | − | 3.06247e10i | − | 2.20016i | ||||||
\(792\) | 1.38080e10 | − | 7.97203e9i | 0.987624 | − | 0.570205i | ||||
\(793\) | −2.53082e9 | − | 4.38351e9i | −0.180221 | − | 0.312152i | ||||
\(794\) | 3.59204e10 | − | 2.07387e10i | 2.54665 | − | 1.47031i | ||||
\(795\) | −3.11845e9 | − | 1.80044e9i | −0.220117 | − | 0.127085i | ||||
\(796\) | 2.12080e10 | + | 1.22444e10i | 1.49040 | + | 0.860485i | ||||
\(797\) | −6.62749e9 | + | 3.82638e9i | −0.463708 | + | 0.267722i | −0.713602 | − | 0.700551i | \(-0.752938\pi\) |
0.249894 | + | 0.968273i | \(0.419604\pi\) | |||||||
\(798\) | 6.10556e9 | + | 1.05751e10i | 0.425319 | + | 0.736675i | ||||
\(799\) | 8.94341e9 | − | 5.16348e9i | 0.620283 | − | 0.358120i | ||||
\(800\) | − | 1.22940e10i | − | 0.848939i | ||||||
\(801\) | −5.07138e9 | − | 2.92796e9i | −0.348668 | − | 0.201304i | ||||
\(802\) | 1.20439e10 | + | 2.08607e10i | 0.824436 | + | 1.42797i | ||||
\(803\) | −6.84725e9 | −0.466672 | ||||||||
\(804\) | −7.08861e9 | −0.481022 | ||||||||
\(805\) | −5.66858e9 | − | 9.81827e9i | −0.382991 | − | 0.663360i | ||||
\(806\) | − | 2.59527e10i | − | 1.74586i | ||||||
\(807\) | 9.26022e9 | − | 1.60392e10i | 0.620246 | − | 1.07430i | ||||
\(808\) | 2.09690e10i | 1.39842i | ||||||||
\(809\) | −1.86145e10 | − | 1.07471e10i | −1.23603 | − | 0.713625i | −0.267753 | − | 0.963488i | \(-0.586281\pi\) |
−0.968281 | + | 0.249863i | \(0.919614\pi\) | |||||||
\(810\) | −1.09968e9 | + | 1.90470e9i | −0.0727057 | + | 0.125930i | ||||
\(811\) | −2.88395e9 | + | 4.99516e9i | −0.189852 | + | 0.328833i | −0.945201 | − | 0.326490i | \(-0.894134\pi\) |
0.755349 | + | 0.655323i | \(0.227468\pi\) | |||||||
\(812\) | 1.04563e11 | − | 6.03697e10i | 6.85384 | − | 3.95706i | ||||
\(813\) | −1.33183e10 | −0.869226 | ||||||||
\(814\) | 2.10360e10 | − | 4.67993e9i | 1.36703 | − | 0.304126i | ||||
\(815\) | −8.70663e9 | −0.563376 | ||||||||
\(816\) | −1.10863e10 | + | 6.40069e9i | −0.714286 | + | 0.412393i | ||||
\(817\) | 4.50393e9 | − | 7.80103e9i | 0.288944 | − | 0.500466i | ||||
\(818\) | 2.90184e9 | − | 5.02614e9i | 0.185369 | − | 0.321069i | ||||
\(819\) | −2.09324e10 | − | 1.20853e10i | −1.33145 | − | 0.768715i | ||||
\(820\) | 1.89603e10i | 1.20087i | ||||||||
\(821\) | −9.45307e9 | + | 1.63732e10i | −0.596172 | + | 1.03260i | 0.397208 | + | 0.917729i | \(0.369979\pi\) |
−0.993380 | + | 0.114872i | \(0.963354\pi\) | |||||||
\(822\) | 5.08522e9i | 0.319344i | ||||||||
\(823\) | −1.41003e10 | − | 2.44225e10i | −0.881718 | − | 1.52718i | −0.849430 | − | 0.527702i | \(-0.823054\pi\) |
−0.0322884 | − | 0.999479i | \(-0.510279\pi\) | |||||||
\(824\) | 2.00293e10 | 1.24716 | ||||||||
\(825\) | −3.52408e9 | −0.218503 | ||||||||
\(826\) | 2.65115e8 | + | 4.59192e8i | 0.0163683 | + | 0.0283507i | ||||
\(827\) | 6.03705e9 | + | 3.48549e9i | 0.371155 | + | 0.214287i | 0.673963 | − | 0.738765i | \(-0.264591\pi\) |
−0.302808 | + | 0.953052i | \(0.597924\pi\) | |||||||
\(828\) | 1.31313e10i | 0.803897i | ||||||||
\(829\) | −3.89053e9 | + | 2.24620e9i | −0.237175 | + | 0.136933i | −0.613877 | − | 0.789401i | \(-0.710391\pi\) |
0.376703 | + | 0.926334i | \(0.377058\pi\) | |||||||
\(830\) | 2.36254e9 | + | 4.09203e9i | 0.143419 | + | 0.248408i | ||||
\(831\) | 2.87843e9 | − | 1.66186e9i | 0.174001 | − | 0.100460i | ||||
\(832\) | −2.41716e10 | − | 1.39555e10i | −1.45504 | − | 0.840065i | ||||
\(833\) | 1.55318e10 | + | 8.96727e9i | 0.931030 | + | 0.537530i | ||||
\(834\) | −1.91996e10 | + | 1.10849e10i | −1.14607 | + | 0.661682i | ||||
\(835\) | 2.60478e9 | + | 4.51161e9i | 0.154835 | + | 0.268181i | ||||
\(836\) | −1.06755e10 | + | 6.16351e9i | −0.631927 | + | 0.364843i | ||||
\(837\) | − | 1.07680e10i | − | 0.634742i | ||||||
\(838\) | −1.37088e10 | − | 7.91481e9i | −0.804724 | − | 0.464608i | ||||
\(839\) | −4.10978e9 | − | 7.11834e9i | −0.240243 | − | 0.416114i | 0.720540 | − | 0.693413i | \(-0.243894\pi\) |
−0.960784 | + | 0.277300i | \(0.910561\pi\) | |||||||
\(840\) | 3.92997e10 | 2.28777 | ||||||||
\(841\) | −4.16497e10 | −2.41449 | ||||||||
\(842\) | −1.81779e10 | − | 3.14851e10i | −1.04943 | − | 1.81766i | ||||
\(843\) | 5.20471e9i | 0.299226i | ||||||||
\(844\) | 2.45727e10 | − | 4.25612e10i | 1.40687 | − | 2.43677i | ||||
\(845\) | 1.75603e10i | 1.00123i | ||||||||
\(846\) | 2.26340e10 | + | 1.30678e10i | 1.28518 | + | 0.742001i | ||||
\(847\) | 6.67358e9 | − | 1.15590e10i | 0.377370 | − | 0.653624i | ||||
\(848\) | 1.13618e10 | − | 1.96791e10i | 0.639823 | − | 1.10821i | ||||
\(849\) | 1.67096e10 | − | 9.64730e9i | 0.937107 | − | 0.541039i | ||||
\(850\) | −7.44110e9 | −0.415596 | ||||||||
\(851\) | −3.13201e9 | + | 9.95921e9i | −0.174209 | + | 0.553951i | ||||
\(852\) | −1.60324e10 | −0.888095 | ||||||||
\(853\) | −6.28306e9 | + | 3.62753e9i | −0.346617 | + | 0.200119i | −0.663194 | − | 0.748447i | \(-0.730800\pi\) |
0.316577 | + | 0.948567i | \(0.397466\pi\) | |||||||
\(854\) | −7.00453e9 | + | 1.21322e10i | −0.384837 | + | 0.666557i | ||||
\(855\) | −1.54778e9 | + | 2.68084e9i | −0.0846894 | + | 0.146686i | ||||
\(856\) | 8.19922e10 | + | 4.73382e10i | 4.46801 | + | 2.57961i | ||||
\(857\) | 1.65418e10i | 0.897738i | 0.893598 | + | 0.448869i | \(0.148173\pi\) | ||||
−0.893598 | + | 0.448869i | \(0.851827\pi\) | |||||||
\(858\) | −1.29908e10 | + | 2.25008e10i | −0.702152 | + | 1.21616i | ||||
\(859\) | − | 9.66873e9i | − | 0.520467i | −0.965546 | − | 0.260234i | \(-0.916200\pi\) | ||
0.965546 | − | 0.260234i | \(-0.0837996\pi\) | |||||||
\(860\) | −2.46424e10 | − | 4.26819e10i | −1.32111 | − | 2.28823i | ||||
\(861\) | 1.43190e10 | 0.764544 | ||||||||
\(862\) | −2.97538e9 | −0.158222 | ||||||||
\(863\) | −1.49280e9 | − | 2.58561e9i | −0.0790613 | − | 0.136938i | 0.823784 | − | 0.566904i | \(-0.191859\pi\) |
−0.902845 | + | 0.429966i | \(0.858526\pi\) | |||||||
\(864\) | −3.25685e10 | − | 1.88034e10i | −1.71791 | − | 0.991833i | ||||
\(865\) | − | 1.01206e10i | − | 0.531677i | ||||||
\(866\) | 2.00692e10 | − | 1.15869e10i | 1.05007 | − | 0.606256i | ||||
\(867\) | −4.65863e9 | − | 8.06899e9i | −0.242768 | − | 0.420487i | ||||
\(868\) | −4.40620e10 | + | 2.54392e10i | −2.28689 | + | 1.32034i | ||||
\(869\) | −2.05566e10 | − | 1.18684e10i | −1.06263 | − | 0.613511i | ||||
\(870\) | −2.82254e10 | − | 1.62959e10i | −1.45319 | − | 0.839000i | ||||
\(871\) | −7.80176e9 | + | 4.50435e9i | −0.400064 | + | 0.230977i | ||||
\(872\) | 1.65076e10 | + | 2.85921e10i | 0.843096 | + | 1.46028i | ||||
\(873\) | −8.02561e9 | + | 4.63359e9i | −0.408252 | + | 0.235704i | ||||
\(874\) | − | 8.43090e9i | − | 0.427154i | ||||||
\(875\) | 3.26111e10 | + | 1.88281e10i | 1.64565 | + | 0.950117i | ||||
\(876\) | 9.77415e9 | + | 1.69293e10i | 0.491264 | + | 0.850894i | ||||
\(877\) | 7.33970e9 | 0.367435 | 0.183717 | − | 0.982979i | \(-0.441187\pi\) | ||||
0.183717 | + | 0.982979i | \(0.441187\pi\) | |||||||
\(878\) | 3.64577e10 | 1.81785 | ||||||||
\(879\) | −1.38622e9 | − | 2.40101e9i | −0.0688450 | − | 0.119243i | ||||
\(880\) | 2.82368e10i | 1.39677i | ||||||||
\(881\) | −1.18462e10 | + | 2.05183e10i | −0.583666 | + | 1.01094i | 0.411375 | + | 0.911466i | \(0.365049\pi\) |
−0.995040 | + | 0.0994721i | \(0.968285\pi\) | |||||||
\(882\) | 4.53888e10i | 2.22745i | ||||||||
\(883\) | 2.45815e10 | + | 1.41921e10i | 1.20156 | + | 0.693722i | 0.960902 | − | 0.276887i | \(-0.0893028\pi\) |
0.240660 | + | 0.970610i | \(0.422636\pi\) | |||||||
\(884\) | −1.94295e10 | + | 3.36529e10i | −0.945974 | + | 1.63848i | ||||
\(885\) | 5.06907e7 | − | 8.77989e7i | 0.00245825 | − | 0.00425782i | ||||
\(886\) | 3.70722e9 | − | 2.14036e9i | 0.179073 | − | 0.103388i | ||||
\(887\) | −3.24163e10 | −1.55967 | −0.779833 | − | 0.625988i | \(-0.784696\pi\) | ||||
−0.779833 | + | 0.625988i | \(0.784696\pi\) | |||||||
\(888\) | −2.44694e10 | − | 2.66640e10i | −1.17268 | − | 1.27785i | ||||
\(889\) | −4.67980e10 | −2.23394 | ||||||||
\(890\) | 1.78149e10 | − | 1.02855e10i | 0.847070 | − | 0.489056i | ||||
\(891\) | −8.38373e8 | + | 1.45210e9i | −0.0397068 | + | 0.0687743i | ||||
\(892\) | −1.59439e10 | + | 2.76156e10i | −0.752172 | + | 1.30280i | ||||
\(893\) | −1.02935e10 | − | 5.94296e9i | −0.483708 | − | 0.279269i | ||||
\(894\) | − | 3.65392e10i | − | 1.71032i | ||||||
\(895\) | −1.99637e9 | + | 3.45781e9i | −0.0930808 | + | 0.161221i | ||||
\(896\) | 4.08023e9i | 0.189499i | ||||||||
\(897\) | −6.29342e9 | − | 1.09005e10i | −0.291148 | − | 0.504282i | ||||
\(898\) | 3.50798e10 | 1.61655 | ||||||||
\(899\) | 2.48197e10 | 1.13930 | ||||||||
\(900\) | −6.66960e9 | − | 1.15521e10i | −0.304966 | − | 0.528216i | ||||
\(901\) | −5.01998e9 | − | 2.89829e9i | −0.228647 | − | 0.132009i | ||||
\(902\) | 2.04071e10i | 0.925890i | ||||||||
\(903\) | −3.22339e10 | + | 1.86102e10i | −1.45682 | + | 0.841094i | ||||
\(904\) | −3.66477e10 | − | 6.34756e10i | −1.64990 | − | 2.85770i | ||||
\(905\) | 2.39317e10 | − | 1.38170e10i | 1.07325 | − | 0.619644i | ||||
\(906\) | 8.64687e9 | + | 4.99227e9i | 0.386287 | + | 0.223023i | ||||
\(907\) | 2.34102e9 | + | 1.35159e9i | 0.104179 | + | 0.0601476i | 0.551184 | − | 0.834384i | \(-0.314176\pi\) |
−0.447005 | + | 0.894531i | \(0.647510\pi\) | |||||||
\(908\) | −4.40286e10 | + | 2.54199e10i | −1.95180 | + | 1.12687i | ||||
\(909\) | 3.41239e9 | + | 5.91044e9i | 0.150690 | + | 0.261003i | ||||
\(910\) | 7.35323e10 | − | 4.24539e10i | 3.23470 | − | 1.86755i | ||||
\(911\) | 2.21396e10i | 0.970185i | 0.874463 | + | 0.485092i | \(0.161214\pi\) | ||||
−0.874463 | + | 0.485092i | \(0.838786\pi\) | |||||||
\(912\) | 1.27599e10 | + | 7.36693e9i | 0.557013 | + | 0.321592i | ||||
\(913\) | 1.80115e9 | + | 3.11968e9i | 0.0783254 | + | 0.135663i | ||||
\(914\) | −1.28992e10 | −0.558792 | ||||||||
\(915\) | 2.67857e9 | 0.115592 | ||||||||
\(916\) | −2.50926e9 | − | 4.34616e9i | −0.107873 | − | 0.186841i | ||||
\(917\) | − | 4.74339e10i | − | 2.03140i | ||||||
\(918\) | −1.13811e10 | + | 1.97126e10i | −0.485549 | + | 0.840996i | ||||
\(919\) | − | 1.35693e10i | − | 0.576702i | −0.957525 | − | 0.288351i | \(-0.906893\pi\) | ||
0.957525 | − | 0.288351i | \(-0.0931071\pi\) | |||||||
\(920\) | −2.34984e10 | − | 1.35668e10i | −0.994905 | − | 0.574408i | ||||
\(921\) | 3.06443e9 | − | 5.30774e9i | 0.129253 | − | 0.223873i | ||||
\(922\) | −1.45554e10 | + | 2.52108e10i | −0.611600 | + | 1.05932i | ||||
\(923\) | −1.76453e10 | + | 1.01875e10i | −0.738625 | + | 0.426445i | ||||
\(924\) | 5.09352e10 | 2.12406 | ||||||||
\(925\) | −2.30310e9 | − | 1.03523e10i | −0.0956791 | − | 0.430072i | ||||
\(926\) | 5.35744e9 | 0.221727 | ||||||||
\(927\) | 5.64558e9 | − | 3.25948e9i | 0.232772 | − | 0.134391i | ||||
\(928\) | 4.33408e10 | − | 7.50684e10i | 1.78024 | − | 3.08347i | ||||
\(929\) | −5.14946e9 | + | 8.91912e9i | −0.210720 | + | 0.364978i | −0.951940 | − | 0.306284i | \(-0.900914\pi\) |
0.741220 | + | 0.671262i | \(0.234248\pi\) | |||||||
\(930\) | 1.18939e10 | + | 6.86695e9i | 0.484880 | + | 0.279945i | ||||
\(931\) | − | 2.06419e10i | − | 0.838352i | ||||||
\(932\) | 3.99172e10 | − | 6.91385e10i | 1.61512 | − | 2.79746i | ||||
\(933\) | 2.17552e9i | 0.0876956i | ||||||||
\(934\) | −9.90168e9 | − | 1.71502e10i | −0.397644 | − | 0.688740i | ||||
\(935\) | 7.20296e9 | 0.288184 | ||||||||
\(936\) | −5.78486e10 | −2.30583 | ||||||||
\(937\) | −9.10993e8 | − | 1.57789e9i | −0.0361765 | − | 0.0626595i | 0.847370 | − | 0.531002i | \(-0.178185\pi\) |
−0.883547 | + | 0.468343i | \(0.844851\pi\) | |||||||
\(938\) | 2.15929e10 | + | 1.24666e10i | 0.854280 | + | 0.493219i | ||||
\(939\) | 2.04637e10i | 0.806592i | ||||||||
\(940\) | −5.63189e10 | + | 3.25158e10i | −2.21160 | + | 1.27687i | ||||
\(941\) | −1.13632e10 | − | 1.96816e10i | −0.444567 | − | 0.770012i | 0.553455 | − | 0.832879i | \(-0.313309\pi\) |
−0.998022 | + | 0.0628670i | \(0.979976\pi\) | |||||||
\(942\) | 5.22960e10 | − | 3.01931e10i | 2.03841 | − | 1.17687i | ||||
\(943\) | −8.56176e9 | − | 4.94314e9i | −0.332485 | − | 0.191960i | ||||
\(944\) | 5.54059e8 | + | 3.19886e8i | 0.0214365 | + | 0.0123764i | ||||
\(945\) | 3.05093e10 | − | 1.76146e10i | 1.17604 | − | 0.678986i | ||||
\(946\) | −2.65229e10 | − | 4.59389e10i | −1.01859 | − | 1.76426i | ||||
\(947\) | −1.99434e10 | + | 1.15143e10i | −0.763088 | + | 0.440569i | −0.830403 | − | 0.557163i | \(-0.811890\pi\) |
0.0673154 | + | 0.997732i | \(0.478557\pi\) | |||||||
\(948\) | 6.77664e10i | 2.58336i | ||||||||
\(949\) | 2.15150e10 | + | 1.24217e10i | 0.817164 | + | 0.471790i | ||||
\(950\) | 4.28220e9 | + | 7.41699e9i | 0.162045 | + | 0.280670i | ||||
\(951\) | −4.48139e9 | −0.168959 | ||||||||
\(952\) | 6.32634e10 | 2.37642 | ||||||||
\(953\) | 2.42962e10 | + | 4.20823e10i | 0.909314 | + | 1.57498i | 0.815019 | + | 0.579434i | \(0.196726\pi\) |
0.0942946 | + | 0.995544i | \(0.469940\pi\) | |||||||
\(954\) | − | 1.46700e10i | − | 0.547029i | ||||||
\(955\) | −6.54924e9 | + | 1.13436e10i | −0.243321 | + | 0.421444i | ||||
\(956\) | 3.60112e10i | 1.33301i | ||||||||
\(957\) | −2.15185e10 | − | 1.24237e10i | −0.793633 | − | 0.458204i | ||||
\(958\) | 2.11624e9 | − | 3.66543e9i | 0.0777651 | − | 0.134693i | ||||
\(959\) | 6.33480e9 | − | 1.09722e10i | 0.231936 | − | 0.401724i | ||||
\(960\) | 1.27914e10 | − | 7.38510e9i | 0.466625 | − | 0.269406i | ||||
\(961\) | 1.70538e10 | 0.619855 | ||||||||
\(962\) | −7.45879e10 | − | 2.34567e10i | −2.70119 | − | 0.849483i | ||||
\(963\) | 3.08144e10 | 1.11189 | ||||||||
\(964\) | −7.31395e10 | + | 4.22271e10i | −2.62956 | + | 1.51818i | ||||
\(965\) | −1.51617e10 | + | 2.62609e10i | −0.543129 | + | 0.940727i | ||||
\(966\) | −1.74182e10 | + | 3.01693e10i | −0.621705 | + | 1.07682i | ||||
\(967\) | 6.76291e9 | + | 3.90457e9i | 0.240514 | + | 0.138861i | 0.615413 | − | 0.788205i | \(-0.288989\pi\) |
−0.374899 | + | 0.927066i | \(0.622323\pi\) | |||||||
\(968\) | − | 3.19443e10i | − | 1.13196i | ||||||
\(969\) | 1.87924e9 | − | 3.25494e9i | 0.0663513 | − | 0.114924i | ||||
\(970\) | − | 3.25541e10i | − | 1.14526i | ||||||
\(971\) | −1.88627e10 | − | 3.26712e10i | −0.661207 | − | 1.14524i | −0.980299 | − | 0.197520i | \(-0.936711\pi\) |
0.319092 | − | 0.947724i | \(-0.396622\pi\) | |||||||
\(972\) | −6.67934e10 | −2.33293 | ||||||||
\(973\) | 5.52349e10 | 1.92229 | ||||||||
\(974\) | 3.22724e10 | + | 5.58974e10i | 1.11911 | + | 1.93836i | ||||
\(975\) | 1.10731e10 | + | 6.39308e9i | 0.382608 | + | 0.220899i | ||||
\(976\) | 1.69033e10i | 0.581964i | ||||||||
\(977\) | 1.43666e10 | − | 8.29454e9i | 0.492858 | − | 0.284552i | −0.232901 | − | 0.972500i | \(-0.574822\pi\) |
0.725759 | + | 0.687949i | \(0.241489\pi\) | |||||||
\(978\) | 1.33767e10 | + | 2.31692e10i | 0.457261 | + | 0.792000i | ||||
\(979\) | 1.35818e10 | − | 7.84143e9i | 0.462612 | − | 0.267089i | ||||
\(980\) | −9.78075e10 | − | 5.64692e10i | −3.31956 | − | 1.91655i | ||||
\(981\) | 9.30587e9 | + | 5.37274e9i | 0.314713 | + | 0.181700i | ||||
\(982\) | −8.29377e10 | + | 4.78841e10i | −2.79487 | + | 1.61362i | ||||
\(983\) | −1.98557e10 | − | 3.43912e10i | −0.666728 | − | 1.15481i | −0.978814 | − | 0.204753i | \(-0.934361\pi\) |
0.312085 | − | 0.950054i | \(-0.398973\pi\) | |||||||
\(984\) | 2.96789e10 | − | 1.71351e10i | 0.993037 | − | 0.573330i | ||||
\(985\) | − | 3.00703e9i | − | 0.100256i | ||||||
\(986\) | −4.54363e10 | − | 2.62327e10i | −1.50950 | − | 0.871511i | ||||
\(987\) | 2.45563e10 | + | 4.25327e10i | 0.812929 | + | 1.40803i | ||||
\(988\) | 4.47252e10 | 1.47538 | ||||||||
\(989\) | 2.56981e10 | 0.844722 | ||||||||
\(990\) | 9.11464e9 | + | 1.57870e10i | 0.298549 | + | 0.517103i | ||||
\(991\) | − | 2.57350e9i | − | 0.0839976i | −0.999118 | − | 0.0419988i | \(-0.986627\pi\) | ||
0.999118 | − | 0.0419988i | \(-0.0133726\pi\) | |||||||
\(992\) | −1.82634e10 | + | 3.16331e10i | −0.594005 | + | 1.02885i | ||||
\(993\) | 1.94097e9i | 0.0629065i | ||||||||
\(994\) | 4.88368e10 | + | 2.81960e10i | 1.57723 | + | 0.910614i | ||||
\(995\) | −8.23478e9 | + | 1.42631e10i | −0.265015 | + | 0.459020i | ||||
\(996\) | 5.14213e9 | − | 8.90643e9i | 0.164906 | − | 0.285625i | ||||
\(997\) | −2.36562e10 | + | 1.36579e10i | −0.755983 | + | 0.436467i | −0.827852 | − | 0.560947i | \(-0.810437\pi\) |
0.0718688 | + | 0.997414i | \(0.477104\pi\) | |||||||
\(998\) | −6.44484e9 | −0.205237 | ||||||||
\(999\) | −3.09473e10 | − | 9.73244e9i | −0.982073 | − | 0.308847i |
(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 | 37.8.e.a.11.1 | ✓ | 40 | |
37.27 | even | 6 | inner | 37.8.e.a.27.1 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.e.a.11.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
37.8.e.a.27.1 | yes | 40 | 37.27 | even | 6 | inner |