Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,8,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.8706309684\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - x^{13} + 9740 x^{12} + 37173 x^{11} + 71393485 x^{10} + 196352446 x^{9} + 218671355941 x^{8} - 33116965187 x^{7} + 501909199155445 x^{6} + \cdots + 66\!\cdots\!81 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{8}\cdot 3^{6} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Root | \(-32.4887 - 56.2721i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.11 |
Dual form | 38.8.c.b.7.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.00000 | − | 6.92820i | 0.353553 | − | 0.612372i | ||||
\(3\) | 36.4887 | − | 63.2003i | 0.780251 | − | 1.35143i | −0.151545 | − | 0.988450i | \(-0.548425\pi\) |
0.931795 | − | 0.362984i | \(-0.118242\pi\) | |||||||
\(4\) | −32.0000 | − | 55.4256i | −0.250000 | − | 0.433013i | ||||
\(5\) | −170.433 | + | 295.199i | −0.609761 | + | 1.05614i | 0.381519 | + | 0.924361i | \(0.375401\pi\) |
−0.991280 | + | 0.131776i | \(0.957932\pi\) | |||||||
\(6\) | −291.910 | − | 505.603i | −0.551721 | − | 0.955608i | ||||
\(7\) | −1668.31 | −1.83837 | −0.919186 | − | 0.393824i | \(-0.871152\pi\) | ||||
−0.919186 | + | 0.393824i | \(0.871152\pi\) | |||||||
\(8\) | −512.000 | −0.353553 | ||||||||
\(9\) | −1569.35 | − | 2718.20i | −0.717583 | − | 1.24289i | ||||
\(10\) | 1363.47 | + | 2361.59i | 0.431166 | + | 0.746801i | ||||
\(11\) | 1788.65 | 0.405183 | 0.202591 | − | 0.979263i | \(-0.435064\pi\) | ||||
0.202591 | + | 0.979263i | \(0.435064\pi\) | |||||||
\(12\) | −4670.56 | −0.780251 | ||||||||
\(13\) | −993.344 | − | 1720.52i | −0.125400 | − | 0.217199i | 0.796489 | − | 0.604653i | \(-0.206688\pi\) |
−0.921889 | + | 0.387453i | \(0.873355\pi\) | |||||||
\(14\) | −6673.24 | + | 11558.4i | −0.649963 | + | 1.12577i | ||||
\(15\) | 12437.8 | + | 21542.9i | 0.951533 | + | 1.64810i | ||||
\(16\) | −2048.00 | + | 3547.24i | −0.125000 | + | 0.216506i | ||||
\(17\) | 13112.3 | − | 22711.2i | 0.647305 | − | 1.12116i | −0.336459 | − | 0.941698i | \(-0.609230\pi\) |
0.983764 | − | 0.179467i | \(-0.0574372\pi\) | |||||||
\(18\) | −25109.7 | −1.01482 | ||||||||
\(19\) | −21533.5 | − | 20740.8i | −0.720239 | − | 0.693726i | ||||
\(20\) | 21815.5 | 0.609761 | ||||||||
\(21\) | −60874.5 | + | 105438.i | −1.43439 | + | 2.48444i | ||||
\(22\) | 7154.60 | − | 12392.1i | 0.143254 | − | 0.248123i | ||||
\(23\) | −42121.6 | − | 72956.7i | −0.721867 | − | 1.25031i | −0.960251 | − | 0.279139i | \(-0.909951\pi\) |
0.238384 | − | 0.971171i | \(-0.423382\pi\) | |||||||
\(24\) | −18682.2 | + | 32358.6i | −0.275860 | + | 0.477804i | ||||
\(25\) | −19032.5 | − | 32965.3i | −0.243617 | − | 0.421956i | ||||
\(26\) | −15893.5 | −0.177343 | ||||||||
\(27\) | −69453.2 | −0.679077 | ||||||||
\(28\) | 53385.9 | + | 92467.1i | 0.459593 | + | 0.796038i | ||||
\(29\) | 93652.5 | + | 162211.i | 0.713061 | + | 1.23506i | 0.963703 | + | 0.266978i | \(0.0860250\pi\) |
−0.250642 | + | 0.968080i | \(0.580642\pi\) | |||||||
\(30\) | 199005. | 1.34567 | ||||||||
\(31\) | −153392. | −0.924778 | −0.462389 | − | 0.886677i | \(-0.653008\pi\) | ||||
−0.462389 | + | 0.886677i | \(0.653008\pi\) | |||||||
\(32\) | 16384.0 | + | 28377.9i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 65265.6 | − | 113043.i | 0.316144 | − | 0.547578i | ||||
\(34\) | −104899. | − | 181690.i | −0.457713 | − | 0.792783i | ||||
\(35\) | 284336. | − | 492484.i | 1.12097 | − | 1.94157i | ||||
\(36\) | −100439. | + | 173965.i | −0.358791 | + | 0.621445i | ||||
\(37\) | −48243.2 | −0.156578 | −0.0782889 | − | 0.996931i | \(-0.524946\pi\) | ||||
−0.0782889 | + | 0.996931i | \(0.524946\pi\) | |||||||
\(38\) | −229830. | + | 66225.2i | −0.679462 | + | 0.195786i | ||||
\(39\) | −144983. | −0.391374 | ||||||||
\(40\) | 87261.9 | − | 151142.i | 0.215583 | − | 0.373401i | ||||
\(41\) | 306861. | − | 531499.i | 0.695341 | − | 1.20437i | −0.274724 | − | 0.961523i | \(-0.588587\pi\) |
0.970065 | − | 0.242843i | \(-0.0780801\pi\) | |||||||
\(42\) | 486996. | + | 843501.i | 1.01427 | + | 1.75676i | ||||
\(43\) | −154825. | + | 268165.i | −0.296963 | + | 0.514355i | −0.975440 | − | 0.220267i | \(-0.929307\pi\) |
0.678477 | + | 0.734622i | \(0.262640\pi\) | |||||||
\(44\) | −57236.8 | − | 99137.0i | −0.101296 | − | 0.175449i | ||||
\(45\) | 1.06988e6 | 1.75022 | ||||||||
\(46\) | −673945. | −1.02087 | ||||||||
\(47\) | −505445. | − | 875456.i | −0.710119 | − | 1.22996i | −0.964812 | − | 0.262941i | \(-0.915308\pi\) |
0.254693 | − | 0.967022i | \(-0.418026\pi\) | |||||||
\(48\) | 149458. | + | 258869.i | 0.195063 | + | 0.337859i | ||||
\(49\) | 1.95971e6 | 2.37961 | ||||||||
\(50\) | −304521. | −0.344526 | ||||||||
\(51\) | −956904. | − | 1.65741e6i | −1.01012 | − | 1.74958i | ||||
\(52\) | −63574.0 | + | 110113.i | −0.0627001 | + | 0.108600i | ||||
\(53\) | 344813. | + | 597234.i | 0.318140 | + | 0.551035i | 0.980100 | − | 0.198505i | \(-0.0636085\pi\) |
−0.661960 | + | 0.749539i | \(0.730275\pi\) | |||||||
\(54\) | −277813. | + | 481186.i | −0.240090 | + | 0.415848i | ||||
\(55\) | −304846. | + | 528008.i | −0.247065 | + | 0.427928i | ||||
\(56\) | 854174. | 0.649963 | ||||||||
\(57\) | −2.09655e6 | + | 604118.i | −1.49949 | + | 0.432076i | ||||
\(58\) | 1.49844e6 | 1.00842 | ||||||||
\(59\) | −323373. | + | 560099.i | −0.204985 | + | 0.355044i | −0.950128 | − | 0.311860i | \(-0.899048\pi\) |
0.745143 | + | 0.666905i | \(0.232381\pi\) | |||||||
\(60\) | 796019. | − | 1.37874e6i | 0.475766 | − | 0.824052i | ||||
\(61\) | −398341. | − | 689947.i | −0.224699 | − | 0.389190i | 0.731530 | − | 0.681809i | \(-0.238807\pi\) |
−0.956229 | + | 0.292619i | \(0.905473\pi\) | |||||||
\(62\) | −613569. | + | 1.06273e6i | −0.326958 | + | 0.566309i | ||||
\(63\) | 2.61817e6 | + | 4.53480e6i | 1.31918 | + | 2.28489i | ||||
\(64\) | 262144. | 0.125000 | ||||||||
\(65\) | 677196. | 0.305856 | ||||||||
\(66\) | −522124. | − | 904346.i | −0.223548 | − | 0.387196i | ||||
\(67\) | −1.22054e6 | − | 2.11403e6i | −0.495781 | − | 0.858718i | 0.504207 | − | 0.863583i | \(-0.331785\pi\) |
−0.999988 | + | 0.00486504i | \(0.998451\pi\) | |||||||
\(68\) | −1.67838e6 | −0.647305 | ||||||||
\(69\) | −6.14785e6 | −2.25295 | ||||||||
\(70\) | −2.27468e6 | − | 3.93987e6i | −0.792644 | − | 1.37290i | ||||
\(71\) | −1.44847e6 | + | 2.50883e6i | −0.480293 | + | 0.831892i | −0.999744 | − | 0.0226081i | \(-0.992803\pi\) |
0.519451 | + | 0.854500i | \(0.326136\pi\) | |||||||
\(72\) | 803509. | + | 1.39172e6i | 0.253704 | + | 0.439428i | ||||
\(73\) | −903424. | + | 1.56478e6i | −0.271808 | + | 0.470785i | −0.969325 | − | 0.245783i | \(-0.920955\pi\) |
0.697517 | + | 0.716568i | \(0.254288\pi\) | |||||||
\(74\) | −192973. | + | 334239.i | −0.0553586 | + | 0.0958839i | ||||
\(75\) | −2.77789e6 | −0.760328 | ||||||||
\(76\) | −460500. | + | 1.85721e6i | −0.120332 | + | 0.485304i | ||||
\(77\) | −2.98402e6 | −0.744877 | ||||||||
\(78\) | −579934. | + | 1.00447e6i | −0.138372 | + | 0.239667i | ||||
\(79\) | 3.82045e6 | − | 6.61721e6i | 0.871805 | − | 1.51001i | 0.0116780 | − | 0.999932i | \(-0.496283\pi\) |
0.860127 | − | 0.510079i | \(-0.170384\pi\) | |||||||
\(80\) | −698095. | − | 1.20914e6i | −0.152440 | − | 0.264034i | ||||
\(81\) | 897919. | − | 1.55524e6i | 0.187733 | − | 0.325162i | ||||
\(82\) | −2.45489e6 | − | 4.25199e6i | −0.491681 | − | 0.851616i | ||||
\(83\) | −2.25232e6 | −0.432371 | −0.216185 | − | 0.976352i | \(-0.569362\pi\) | ||||
−0.216185 | + | 0.976352i | \(0.569362\pi\) | |||||||
\(84\) | 7.79193e6 | 1.43439 | ||||||||
\(85\) | 4.46956e6 | + | 7.74150e6i | 0.789402 | + | 1.36728i | ||||
\(86\) | 1.23860e6 | + | 2.14532e6i | 0.209985 | + | 0.363704i | ||||
\(87\) | 1.36690e7 | 2.22546 | ||||||||
\(88\) | −915789. | −0.143254 | ||||||||
\(89\) | 5.42728e6 | + | 9.40033e6i | 0.816052 | + | 1.41344i | 0.908570 | + | 0.417732i | \(0.137175\pi\) |
−0.0925188 | + | 0.995711i | \(0.529492\pi\) | |||||||
\(90\) | 4.27952e6 | − | 7.41235e6i | 0.618795 | − | 1.07178i | ||||
\(91\) | 1.65720e6 | + | 2.87036e6i | 0.230532 | + | 0.399293i | ||||
\(92\) | −2.69578e6 | + | 4.66923e6i | −0.360933 | + | 0.625155i | ||||
\(93\) | −5.59709e6 | + | 9.69444e6i | −0.721559 | + | 1.24978i | ||||
\(94\) | −8.08712e6 | −1.00426 | ||||||||
\(95\) | 9.79269e6 | − | 2.82175e6i | 1.17184 | − | 0.337664i | ||||
\(96\) | 2.39132e6 | 0.275860 | ||||||||
\(97\) | 4.56753e6 | − | 7.91120e6i | 0.508137 | − | 0.880119i | −0.491819 | − | 0.870698i | \(-0.663668\pi\) |
0.999956 | − | 0.00942116i | \(-0.00299889\pi\) | |||||||
\(98\) | 7.83885e6 | − | 1.35773e7i | 0.841320 | − | 1.45721i | ||||
\(99\) | −2.80702e6 | − | 4.86191e6i | −0.290752 | − | 0.503598i | ||||
\(100\) | −1.21808e6 | + | 2.10978e6i | −0.121808 | + | 0.210978i | ||||
\(101\) | 1.64721e6 | + | 2.85305e6i | 0.159083 | + | 0.275540i | 0.934538 | − | 0.355863i | \(-0.115813\pi\) |
−0.775455 | + | 0.631403i | \(0.782480\pi\) | |||||||
\(102\) | −1.53105e7 | −1.42853 | ||||||||
\(103\) | 7.23955e6 | 0.652802 | 0.326401 | − | 0.945231i | \(-0.394164\pi\) | ||||
0.326401 | + | 0.945231i | \(0.394164\pi\) | |||||||
\(104\) | 508592. | + | 880907.i | 0.0443356 | + | 0.0767916i | ||||
\(105\) | −2.07501e7 | − | 3.59402e7i | −1.74927 | − | 3.02983i | ||||
\(106\) | 5.51701e6 | 0.449918 | ||||||||
\(107\) | −1.37901e7 | −1.08824 | −0.544120 | − | 0.839008i | \(-0.683136\pi\) | ||||
−0.544120 | + | 0.839008i | \(0.683136\pi\) | |||||||
\(108\) | 2.22250e6 | + | 3.84949e6i | 0.169769 | + | 0.294049i | ||||
\(109\) | 744061. | − | 1.28875e6i | 0.0550320 | − | 0.0953183i | −0.837197 | − | 0.546901i | \(-0.815807\pi\) |
0.892229 | + | 0.451583i | \(0.149141\pi\) | |||||||
\(110\) | 2.43876e6 | + | 4.22406e6i | 0.174701 | + | 0.302591i | ||||
\(111\) | −1.76033e6 | + | 3.04898e6i | −0.122170 | + | 0.211604i | ||||
\(112\) | 3.41670e6 | − | 5.91789e6i | 0.229797 | − | 0.398019i | ||||
\(113\) | 4.40429e6 | 0.287145 | 0.143572 | − | 0.989640i | \(-0.454141\pi\) | ||||
0.143572 | + | 0.989640i | \(0.454141\pi\) | |||||||
\(114\) | −4.20076e6 | + | 1.69418e7i | −0.265559 | + | 1.07101i | ||||
\(115\) | 2.87157e7 | 1.76066 | ||||||||
\(116\) | 5.99376e6 | − | 1.03815e7i | 0.356530 | − | 0.617529i | ||||
\(117\) | −3.11782e6 | + | 5.40022e6i | −0.179970 | + | 0.311717i | ||||
\(118\) | 2.58698e6 | + | 4.48079e6i | 0.144946 | + | 0.251054i | ||||
\(119\) | −2.18754e7 | + | 3.78893e7i | −1.18999 | + | 2.06112i | ||||
\(120\) | −6.36815e6 | − | 1.10300e7i | −0.336418 | − | 0.582693i | ||||
\(121\) | −1.62879e7 | −0.835827 | ||||||||
\(122\) | −6.37346e6 | −0.317772 | ||||||||
\(123\) | −2.23939e7 | − | 3.87874e7i | −1.08508 | − | 1.87942i | ||||
\(124\) | 4.90855e6 | + | 8.50186e6i | 0.231194 | + | 0.400441i | ||||
\(125\) | −1.36551e7 | −0.625330 | ||||||||
\(126\) | 4.18907e7 | 1.86561 | ||||||||
\(127\) | 1.50772e7 | + | 2.61145e7i | 0.653144 | + | 1.13128i | 0.982356 | + | 0.187022i | \(0.0598837\pi\) |
−0.329212 | + | 0.944256i | \(0.606783\pi\) | |||||||
\(128\) | 1.04858e6 | − | 1.81619e6i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 1.12988e7 | + | 1.95700e7i | 0.463411 | + | 0.802652i | ||||
\(130\) | 2.70878e6 | − | 4.69175e6i | 0.108137 | − | 0.187298i | ||||
\(131\) | 8.48539e6 | − | 1.46971e7i | 0.329779 | − | 0.571193i | −0.652689 | − | 0.757626i | \(-0.726359\pi\) |
0.982468 | + | 0.186433i | \(0.0596926\pi\) | |||||||
\(132\) | −8.35399e6 | −0.316144 | ||||||||
\(133\) | 3.59245e7 | + | 3.46021e7i | 1.32407 | + | 1.27533i | ||||
\(134\) | −1.95286e7 | −0.701140 | ||||||||
\(135\) | 1.18371e7 | − | 2.05025e7i | 0.414074 | − | 0.717198i | ||||
\(136\) | −6.71351e6 | + | 1.16281e7i | −0.228857 | + | 0.396392i | ||||
\(137\) | −1.87704e7 | − | 3.25113e7i | −0.623665 | − | 1.08022i | −0.988797 | − | 0.149264i | \(-0.952310\pi\) |
0.365132 | − | 0.930956i | \(-0.381024\pi\) | |||||||
\(138\) | −2.45914e7 | + | 4.25935e7i | −0.796538 | + | 1.37964i | ||||
\(139\) | 2.90112e7 | + | 5.02488e7i | 0.916249 | + | 1.58699i | 0.805063 | + | 0.593189i | \(0.202132\pi\) |
0.111186 | + | 0.993800i | \(0.464535\pi\) | |||||||
\(140\) | −3.63949e7 | −1.12097 | ||||||||
\(141\) | −7.37722e7 | −2.21629 | ||||||||
\(142\) | 1.15878e7 | + | 2.00706e7i | 0.339618 | + | 0.588236i | ||||
\(143\) | −1.77674e6 | − | 3.07741e6i | −0.0508100 | − | 0.0880054i | ||||
\(144\) | 1.28561e7 | 0.358791 | ||||||||
\(145\) | −6.38461e7 | −1.73919 | ||||||||
\(146\) | 7.22739e6 | + | 1.25182e7i | 0.192197 | + | 0.332895i | ||||
\(147\) | 7.15074e7 | − | 1.23854e8i | 1.85669 | − | 3.21589i | ||||
\(148\) | 1.54378e6 | + | 2.67391e6i | 0.0391444 | + | 0.0678001i | ||||
\(149\) | 7.97384e6 | − | 1.38111e7i | 0.197477 | − | 0.342039i | −0.750233 | − | 0.661174i | \(-0.770059\pi\) |
0.947710 | + | 0.319134i | \(0.103392\pi\) | |||||||
\(150\) | −1.11116e7 | + | 1.92458e7i | −0.268817 | + | 0.465604i | ||||
\(151\) | −1.69234e7 | −0.400008 | −0.200004 | − | 0.979795i | \(-0.564096\pi\) | ||||
−0.200004 | + | 0.979795i | \(0.564096\pi\) | |||||||
\(152\) | 1.10251e7 | + | 1.06193e7i | 0.254643 | + | 0.245269i | ||||
\(153\) | −8.23115e7 | −1.85798 | ||||||||
\(154\) | −1.19361e7 | + | 2.06739e7i | −0.263354 | + | 0.456142i | ||||
\(155\) | 2.61432e7 | − | 4.52813e7i | 0.563893 | − | 0.976692i | ||||
\(156\) | 4.63947e6 | + | 8.03580e6i | 0.0978435 | + | 0.169470i | ||||
\(157\) | 2.39243e7 | − | 4.14381e7i | 0.493390 | − | 0.854576i | −0.506581 | − | 0.862192i | \(-0.669091\pi\) |
0.999971 | + | 0.00761638i | \(0.00242439\pi\) | |||||||
\(158\) | −3.05636e7 | − | 5.29377e7i | −0.616459 | − | 1.06774i | ||||
\(159\) | 5.03272e7 | 0.992916 | ||||||||
\(160\) | −1.11695e7 | −0.215583 | ||||||||
\(161\) | 7.02718e7 | + | 1.21714e8i | 1.32706 | + | 2.29853i | ||||
\(162\) | −7.18335e6 | − | 1.24419e7i | −0.132747 | − | 0.229925i | ||||
\(163\) | 3.48181e6 | 0.0629722 | 0.0314861 | − | 0.999504i | \(-0.489976\pi\) | ||||
0.0314861 | + | 0.999504i | \(0.489976\pi\) | |||||||
\(164\) | −3.92782e7 | −0.695341 | ||||||||
\(165\) | 2.22469e7 | + | 3.85327e7i | 0.385545 | + | 0.667783i | ||||
\(166\) | −9.00927e6 | + | 1.56045e7i | −0.152866 | + | 0.264772i | ||||
\(167\) | −4.56446e7 | − | 7.90588e7i | −0.758372 | − | 1.31354i | −0.943681 | − | 0.330858i | \(-0.892662\pi\) |
0.185309 | − | 0.982680i | \(-0.440671\pi\) | |||||||
\(168\) | 3.11677e7 | − | 5.39841e7i | 0.507134 | − | 0.878382i | ||||
\(169\) | 2.94008e7 | − | 5.09237e7i | 0.468550 | − | 0.811552i | ||||
\(170\) | 7.15129e7 | 1.11638 | ||||||||
\(171\) | −2.25840e7 | + | 9.10820e7i | −0.345393 | + | 1.39298i | ||||
\(172\) | 1.98176e7 | 0.296963 | ||||||||
\(173\) | −3.48554e7 | + | 6.03713e7i | −0.511810 | + | 0.886481i | 0.488096 | + | 0.872790i | \(0.337691\pi\) |
−0.999906 | + | 0.0136911i | \(0.995642\pi\) | |||||||
\(174\) | 5.46762e7 | − | 9.47019e7i | 0.786821 | − | 1.36281i | ||||
\(175\) | 3.17522e7 | + | 5.49964e7i | 0.447858 | + | 0.775713i | ||||
\(176\) | −3.66316e6 | + | 6.34477e6i | −0.0506478 | + | 0.0877246i | ||||
\(177\) | 2.35989e7 | + | 4.08746e7i | 0.319879 | + | 0.554047i | ||||
\(178\) | 8.68366e7 | 1.15407 | ||||||||
\(179\) | 8.39321e6 | 0.109381 | 0.0546905 | − | 0.998503i | \(-0.482583\pi\) | ||||
0.0546905 | + | 0.998503i | \(0.482583\pi\) | |||||||
\(180\) | −3.42362e7 | − | 5.92988e7i | −0.437554 | − | 0.757866i | ||||
\(181\) | −4.32127e7 | − | 7.48465e7i | −0.541671 | − | 0.938203i | −0.998808 | − | 0.0488061i | \(-0.984458\pi\) |
0.457137 | − | 0.889396i | \(-0.348875\pi\) | |||||||
\(182\) | 2.65153e7 | 0.326022 | ||||||||
\(183\) | −5.81399e7 | −0.701286 | ||||||||
\(184\) | 2.15662e7 | + | 3.73538e7i | 0.255218 | + | 0.442051i | ||||
\(185\) | 8.22225e6 | − | 1.42414e7i | 0.0954750 | − | 0.165367i | ||||
\(186\) | 4.47767e7 | + | 7.75555e7i | 0.510219 | + | 0.883725i | ||||
\(187\) | 2.34534e7 | − | 4.06224e7i | 0.262277 | − | 0.454277i | ||||
\(188\) | −3.23485e7 | + | 5.60292e7i | −0.355060 | + | 0.614981i | ||||
\(189\) | 1.15869e8 | 1.24840 | ||||||||
\(190\) | 1.96211e7 | − | 7.91327e7i | 0.207533 | − | 0.836987i | ||||
\(191\) | 2.66878e7 | 0.277137 | 0.138569 | − | 0.990353i | \(-0.455750\pi\) | ||||
0.138569 | + | 0.990353i | \(0.455750\pi\) | |||||||
\(192\) | 9.56530e6 | − | 1.65676e7i | 0.0975314 | − | 0.168929i | ||||
\(193\) | −6.56992e6 | + | 1.13794e7i | −0.0657824 | + | 0.113938i | −0.897041 | − | 0.441948i | \(-0.854288\pi\) |
0.831258 | + | 0.555886i | \(0.187621\pi\) | |||||||
\(194\) | −3.65403e7 | − | 6.32896e7i | −0.359307 | − | 0.622338i | ||||
\(195\) | 2.47100e7 | − | 4.27990e7i | 0.238645 | − | 0.413345i | ||||
\(196\) | −6.27108e7 | − | 1.08618e8i | −0.594903 | − | 1.03040i | ||||
\(197\) | 2.30171e6 | 0.0214496 | 0.0107248 | − | 0.999942i | \(-0.496586\pi\) | ||||
0.0107248 | + | 0.999942i | \(0.496586\pi\) | |||||||
\(198\) | −4.49124e7 | −0.411186 | ||||||||
\(199\) | 6.94129e7 | + | 1.20227e8i | 0.624388 | + | 1.08147i | 0.988659 | + | 0.150179i | \(0.0479849\pi\) |
−0.364271 | + | 0.931293i | \(0.618682\pi\) | |||||||
\(200\) | 9.74466e6 | + | 1.68783e7i | 0.0861315 | + | 0.149184i | ||||
\(201\) | −1.78144e8 | −1.54733 | ||||||||
\(202\) | 2.63554e7 | 0.224977 | ||||||||
\(203\) | −1.56241e8 | − | 2.70618e8i | −1.31087 | − | 2.27050i | ||||
\(204\) | −6.12419e7 | + | 1.06074e8i | −0.505060 | + | 0.874790i | ||||
\(205\) | 1.04599e8 | + | 1.81170e8i | 0.847984 | + | 1.46875i | ||||
\(206\) | 2.89582e7 | − | 5.01571e7i | 0.230800 | − | 0.399758i | ||||
\(207\) | −1.32207e8 | + | 2.28990e8i | −1.03600 | + | 1.79440i | ||||
\(208\) | 8.13747e6 | 0.0627001 | ||||||||
\(209\) | −3.85159e7 | − | 3.70980e7i | −0.291829 | − | 0.281086i | ||||
\(210\) | −3.32001e8 | −2.47384 | ||||||||
\(211\) | −3.26383e7 | + | 5.65311e7i | −0.239187 | + | 0.414285i | −0.960481 | − | 0.278344i | \(-0.910214\pi\) |
0.721294 | + | 0.692629i | \(0.243548\pi\) | |||||||
\(212\) | 2.20680e7 | − | 3.82230e7i | 0.159070 | − | 0.275517i | ||||
\(213\) | 1.05706e8 | + | 1.83088e8i | 0.749498 | + | 1.29817i | ||||
\(214\) | −5.51604e7 | + | 9.55407e7i | −0.384751 | + | 0.666408i | ||||
\(215\) | −5.27748e7 | − | 9.14086e7i | −0.362153 | − | 0.627267i | ||||
\(216\) | 3.55600e7 | 0.240090 | ||||||||
\(217\) | 2.55906e8 | 1.70009 | ||||||||
\(218\) | −5.95249e6 | − | 1.03100e7i | −0.0389135 | − | 0.0674002i | ||||
\(219\) | 6.59296e7 | + | 1.14193e8i | 0.424156 | + | 0.734660i | ||||
\(220\) | 3.90202e7 | 0.247065 | ||||||||
\(221\) | −5.21002e7 | −0.324688 | ||||||||
\(222\) | 1.40827e7 | + | 2.43919e7i | 0.0863872 | + | 0.149627i | ||||
\(223\) | 1.15422e8 | − | 1.99917e8i | 0.696984 | − | 1.20721i | −0.272523 | − | 0.962149i | \(-0.587858\pi\) |
0.969507 | − | 0.245063i | \(-0.0788086\pi\) | |||||||
\(224\) | −2.73336e7 | − | 4.73431e7i | −0.162491 | − | 0.281442i | ||||
\(225\) | −5.97376e7 | + | 1.03469e8i | −0.349630 | + | 0.605577i | ||||
\(226\) | 1.76171e7 | − | 3.05138e7i | 0.101521 | − | 0.175840i | ||||
\(227\) | −9.31373e7 | −0.528486 | −0.264243 | − | 0.964456i | \(-0.585122\pi\) | ||||
−0.264243 | + | 0.964456i | \(0.585122\pi\) | |||||||
\(228\) | 1.00573e8 | + | 9.68711e7i | 0.561967 | + | 0.541280i | ||||
\(229\) | −1.77863e8 | −0.978728 | −0.489364 | − | 0.872080i | \(-0.662771\pi\) | ||||
−0.489364 | + | 0.872080i | \(0.662771\pi\) | |||||||
\(230\) | 1.14863e8 | − | 1.98948e8i | 0.622489 | − | 1.07818i | ||||
\(231\) | −1.08883e8 | + | 1.88591e8i | −0.581191 | + | 1.00665i | ||||
\(232\) | −4.79501e7 | − | 8.30520e7i | −0.252105 | − | 0.436659i | ||||
\(233\) | 9.33717e7 | − | 1.61725e8i | 0.483581 | − | 0.837588i | −0.516241 | − | 0.856443i | \(-0.672669\pi\) |
0.999822 | + | 0.0188559i | \(0.00600237\pi\) | |||||||
\(234\) | 2.49425e7 | + | 4.32017e7i | 0.127258 | + | 0.220417i | ||||
\(235\) | 3.44579e8 | 1.73201 | ||||||||
\(236\) | 4.13918e7 | 0.204985 | ||||||||
\(237\) | −2.78807e8 | − | 4.82907e8i | −1.36045 | − | 2.35637i | ||||
\(238\) | 1.75003e8 | + | 3.03115e8i | 0.841448 | + | 1.45743i | ||||
\(239\) | −2.33729e8 | −1.10744 | −0.553720 | − | 0.832703i | \(-0.686792\pi\) | ||||
−0.553720 | + | 0.832703i | \(0.686792\pi\) | |||||||
\(240\) | −1.01890e8 | −0.475766 | ||||||||
\(241\) | 3.99849e7 | + | 6.92558e7i | 0.184008 | + | 0.318711i | 0.943242 | − | 0.332107i | \(-0.107760\pi\) |
−0.759234 | + | 0.650818i | \(0.774426\pi\) | |||||||
\(242\) | −6.51516e7 | + | 1.12846e8i | −0.295509 | + | 0.511837i | ||||
\(243\) | −1.41475e8 | − | 2.45042e8i | −0.632495 | − | 1.09551i | ||||
\(244\) | −2.54938e7 | + | 4.41566e7i | −0.112349 | + | 0.194595i | ||||
\(245\) | −3.34000e8 | + | 5.78506e8i | −1.45099 | + | 2.51320i | ||||
\(246\) | −3.58303e8 | −1.53454 | ||||||||
\(247\) | −1.42948e7 | + | 5.76516e7i | −0.0603587 | + | 0.243429i | ||||
\(248\) | 7.85368e7 | 0.326958 | ||||||||
\(249\) | −8.21842e7 | + | 1.42347e8i | −0.337358 | + | 0.584321i | ||||
\(250\) | −5.46203e7 | + | 9.46052e7i | −0.221088 | + | 0.382935i | ||||
\(251\) | −7.90336e7 | − | 1.36890e8i | −0.315467 | − | 0.546404i | 0.664070 | − | 0.747671i | \(-0.268828\pi\) |
−0.979537 | + | 0.201266i | \(0.935494\pi\) | |||||||
\(252\) | 1.67563e8 | − | 2.90227e8i | 0.659592 | − | 1.14245i | ||||
\(253\) | −7.53407e7 | − | 1.30494e8i | −0.292488 | − | 0.506604i | ||||
\(254\) | 2.41236e8 | 0.923685 | ||||||||
\(255\) | 6.52354e8 | 2.46373 | ||||||||
\(256\) | −8.38861e6 | − | 1.45295e7i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.01771e7 | − | 3.49478e7i | −0.0741470 | − | 0.128426i | 0.826568 | − | 0.562837i | \(-0.190290\pi\) |
−0.900715 | + | 0.434411i | \(0.856957\pi\) | |||||||
\(258\) | 1.80780e8 | 0.655362 | ||||||||
\(259\) | 8.04846e7 | 0.287848 | ||||||||
\(260\) | −2.16703e7 | − | 3.75340e7i | −0.0764641 | − | 0.132440i | ||||
\(261\) | 2.93948e8 | − | 5.09133e8i | 1.02336 | − | 1.77251i | ||||
\(262\) | −6.78831e7 | − | 1.17577e8i | −0.233189 | − | 0.403895i | ||||
\(263\) | 6.99503e7 | − | 1.21157e8i | 0.237107 | − | 0.410681i | −0.722776 | − | 0.691082i | \(-0.757134\pi\) |
0.959883 | + | 0.280401i | \(0.0904675\pi\) | |||||||
\(264\) | −3.34160e7 | + | 5.78781e7i | −0.111774 | + | 0.193598i | ||||
\(265\) | −2.35071e8 | −0.775957 | ||||||||
\(266\) | 3.83428e8 | − | 1.10484e8i | 1.24910 | − | 0.359927i | ||||
\(267\) | 7.92139e8 | 2.54690 | ||||||||
\(268\) | −7.81145e7 | + | 1.35298e8i | −0.247890 | + | 0.429359i | ||||
\(269\) | −2.97557e7 | + | 5.15384e7i | −0.0932046 | + | 0.161435i | −0.908858 | − | 0.417106i | \(-0.863044\pi\) |
0.815653 | + | 0.578541i | \(0.196378\pi\) | |||||||
\(270\) | −9.46971e7 | − | 1.64020e8i | −0.292795 | − | 0.507136i | ||||
\(271\) | −1.02780e8 | + | 1.78021e8i | −0.313702 | + | 0.543348i | −0.979161 | − | 0.203087i | \(-0.934903\pi\) |
0.665459 | + | 0.746435i | \(0.268236\pi\) | |||||||
\(272\) | 5.37081e7 | + | 9.30252e7i | 0.161826 | + | 0.280291i | ||||
\(273\) | 2.41877e8 | 0.719491 | ||||||||
\(274\) | −3.00326e8 | −0.881996 | ||||||||
\(275\) | −3.40426e7 | − | 5.89635e7i | −0.0987093 | − | 0.170969i | ||||
\(276\) | 1.96731e8 | + | 3.40748e8i | 0.563237 | + | 0.975555i | ||||
\(277\) | −3.76577e7 | −0.106457 | −0.0532286 | − | 0.998582i | \(-0.516951\pi\) | ||||
−0.0532286 | + | 0.998582i | \(0.516951\pi\) | |||||||
\(278\) | 4.64179e8 | 1.29577 | ||||||||
\(279\) | 2.40727e8 | + | 4.16951e8i | 0.663605 | + | 1.14940i | ||||
\(280\) | −1.45580e8 | + | 2.52152e8i | −0.396322 | + | 0.686450i | ||||
\(281\) | −1.54846e8 | − | 2.68202e8i | −0.416321 | − | 0.721090i | 0.579245 | − | 0.815154i | \(-0.303348\pi\) |
−0.995566 | + | 0.0940638i | \(0.970014\pi\) | |||||||
\(282\) | −2.95089e8 | + | 5.11109e8i | −0.783575 | + | 1.35719i | ||||
\(283\) | 2.10551e8 | − | 3.64686e8i | 0.552212 | − | 0.956459i | −0.445903 | − | 0.895081i | \(-0.647117\pi\) |
0.998115 | − | 0.0613776i | \(-0.0195494\pi\) | |||||||
\(284\) | 1.85405e8 | 0.480293 | ||||||||
\(285\) | 1.78988e8 | − | 7.21863e8i | 0.458000 | − | 1.84713i | ||||
\(286\) | −2.84279e7 | −0.0718561 | ||||||||
\(287\) | −5.11939e8 | + | 8.86704e8i | −1.27830 | + | 2.21407i | ||||
\(288\) | 5.14246e7 | − | 8.90700e7i | 0.126852 | − | 0.219714i | ||||
\(289\) | −1.38697e8 | − | 2.40231e8i | −0.338007 | − | 0.585444i | ||||
\(290\) | −2.55384e8 | + | 4.42338e8i | −0.614895 | + | 1.06503i | ||||
\(291\) | −3.33327e8 | − | 5.77339e8i | −0.792948 | − | 1.37343i | ||||
\(292\) | 1.15638e8 | 0.271808 | ||||||||
\(293\) | 1.58161e8 | 0.367336 | 0.183668 | − | 0.982988i | \(-0.441203\pi\) | ||||
0.183668 | + | 0.982988i | \(0.441203\pi\) | |||||||
\(294\) | −5.72059e8 | − | 9.90836e8i | −1.31288 | − | 2.27398i | ||||
\(295\) | −1.10227e8 | − | 1.90919e8i | −0.249984 | − | 0.432984i | ||||
\(296\) | 2.47005e7 | 0.0553586 | ||||||||
\(297\) | −1.24227e8 | −0.275150 | ||||||||
\(298\) | −6.37907e7 | − | 1.10489e8i | −0.139637 | − | 0.241858i | ||||
\(299\) | −8.36824e7 | + | 1.44942e8i | −0.181044 | + | 0.313578i | ||||
\(300\) | 8.88926e7 | + | 1.53966e8i | 0.190082 | + | 0.329232i | ||||
\(301\) | 2.58296e8 | − | 4.47383e8i | 0.545928 | − | 0.945576i | ||||
\(302\) | −6.76937e7 | + | 1.17249e8i | −0.141424 | + | 0.244954i | ||||
\(303\) | 2.40418e8 | 0.496499 | ||||||||
\(304\) | 1.17673e8 | − | 3.39073e7i | 0.240226 | − | 0.0692207i | ||||
\(305\) | 2.71563e8 | 0.548050 | ||||||||
\(306\) | −3.29246e8 | + | 5.70271e8i | −0.656895 | + | 1.13777i | ||||
\(307\) | −4.90351e8 | + | 8.49312e8i | −0.967214 | + | 1.67526i | −0.263668 | + | 0.964613i | \(0.584932\pi\) |
−0.703546 | + | 0.710650i | \(0.748401\pi\) | |||||||
\(308\) | 9.54887e7 | + | 1.65391e8i | 0.186219 | + | 0.322541i | ||||
\(309\) | 2.64162e8 | − | 4.57542e8i | 0.509349 | − | 0.882219i | ||||
\(310\) | −2.09145e8 | − | 3.62250e8i | −0.398733 | − | 0.690626i | ||||
\(311\) | 1.82338e8 | 0.343729 | 0.171865 | − | 0.985121i | \(-0.445021\pi\) | ||||
0.171865 | + | 0.985121i | \(0.445021\pi\) | |||||||
\(312\) | 7.42315e7 | 0.138372 | ||||||||
\(313\) | −2.65171e8 | − | 4.59290e8i | −0.488788 | − | 0.846606i | 0.511129 | − | 0.859504i | \(-0.329228\pi\) |
−0.999917 | + | 0.0128982i | \(0.995894\pi\) | |||||||
\(314\) | −1.91394e8 | − | 3.31504e8i | −0.348879 | − | 0.604276i | ||||
\(315\) | −1.78489e9 | −3.21755 | ||||||||
\(316\) | −4.89017e8 | −0.871805 | ||||||||
\(317\) | 4.26094e8 | + | 7.38016e8i | 0.751273 | + | 1.30124i | 0.947206 | + | 0.320626i | \(0.103893\pi\) |
−0.195933 | + | 0.980617i | \(0.562774\pi\) | |||||||
\(318\) | 2.01309e8 | − | 3.48677e8i | 0.351049 | − | 0.608034i | ||||
\(319\) | 1.67512e8 | + | 2.90139e8i | 0.288920 | + | 0.500424i | ||||
\(320\) | −4.46781e7 | + | 7.73847e7i | −0.0762201 | + | 0.132017i | ||||
\(321\) | −5.03183e8 | + | 8.71539e8i | −0.849100 | + | 1.47068i | ||||
\(322\) | 1.12435e9 | 1.87675 | ||||||||
\(323\) | −7.53403e8 | + | 2.17092e8i | −1.24399 | + | 0.358455i | ||||
\(324\) | −1.14934e8 | −0.187733 | ||||||||
\(325\) | −3.78117e7 | + | 6.54918e7i | −0.0610991 | + | 0.105827i | ||||
\(326\) | 1.39273e7 | − | 2.41227e7i | 0.0222640 | − | 0.0385624i | ||||
\(327\) | −5.42996e7 | − | 9.40497e7i | −0.0858776 | − | 0.148744i | ||||
\(328\) | −1.57113e8 | + | 2.72127e8i | −0.245840 | + | 0.425808i | ||||
\(329\) | 8.43239e8 | + | 1.46053e9i | 1.30546 | + | 2.26113i | ||||
\(330\) | 3.55950e8 | 0.545243 | ||||||||
\(331\) | 5.48911e8 | 0.831962 | 0.415981 | − | 0.909373i | \(-0.363438\pi\) | ||||
0.415981 | + | 0.909373i | \(0.363438\pi\) | |||||||
\(332\) | 7.20742e7 | + | 1.24836e8i | 0.108093 | + | 0.187222i | ||||
\(333\) | 7.57106e7 | + | 1.31135e8i | 0.112357 | + | 0.194609i | ||||
\(334\) | −7.30314e8 | −1.07250 | ||||||||
\(335\) | 8.32082e8 | 1.20923 | ||||||||
\(336\) | −2.49342e8 | − | 4.31873e8i | −0.358598 | − | 0.621110i | ||||
\(337\) | −3.82231e7 | + | 6.62043e7i | −0.0544028 | + | 0.0942284i | −0.891944 | − | 0.452145i | \(-0.850659\pi\) |
0.837541 | + | 0.546374i | \(0.183992\pi\) | |||||||
\(338\) | −2.35206e8 | − | 4.07389e8i | −0.331315 | − | 0.573854i | ||||
\(339\) | 1.60707e8 | − | 2.78352e8i | 0.224045 | − | 0.388057i | ||||
\(340\) | 2.86052e8 | − | 4.95456e8i | 0.394701 | − | 0.683642i | ||||
\(341\) | −2.74365e8 | −0.374704 | ||||||||
\(342\) | 5.40699e8 | + | 5.20794e8i | 0.730910 | + | 0.704004i | ||||
\(343\) | −1.89548e9 | −2.53624 | ||||||||
\(344\) | 7.92706e7 | − | 1.37301e8i | 0.104992 | − | 0.181852i | ||||
\(345\) | 1.04780e9 | − | 1.81484e9i | 1.37376 | − | 2.37942i | ||||
\(346\) | 2.78843e8 | + | 4.82971e8i | 0.361904 | + | 0.626837i | ||||
\(347\) | −3.27090e8 | + | 5.66537e8i | −0.420256 | + | 0.727905i | −0.995964 | − | 0.0897500i | \(-0.971393\pi\) |
0.575708 | + | 0.817655i | \(0.304727\pi\) | |||||||
\(348\) | −4.37409e8 | − | 7.57615e8i | −0.556366 | − | 0.963655i | ||||
\(349\) | 1.11203e9 | 1.40032 | 0.700158 | − | 0.713988i | \(-0.253113\pi\) | ||||
0.700158 | + | 0.713988i | \(0.253113\pi\) | |||||||
\(350\) | 5.08035e8 | 0.633367 | ||||||||
\(351\) | 6.89909e7 | + | 1.19496e8i | 0.0851563 | + | 0.147495i | ||||
\(352\) | 2.93052e7 | + | 5.07582e7i | 0.0358134 | + | 0.0620307i | ||||
\(353\) | −2.60979e8 | −0.315787 | −0.157894 | − | 0.987456i | \(-0.550470\pi\) | ||||
−0.157894 | + | 0.987456i | \(0.550470\pi\) | |||||||
\(354\) | 3.77583e8 | 0.452378 | ||||||||
\(355\) | −4.93736e8 | − | 8.55176e8i | −0.585728 | − | 1.01451i | ||||
\(356\) | 3.47346e8 | − | 6.01621e8i | 0.408026 | − | 0.706721i | ||||
\(357\) | 1.59641e9 | + | 2.76507e9i | 1.85698 | + | 3.21638i | ||||
\(358\) | 3.35728e7 | − | 5.81498e7i | 0.0386721 | − | 0.0669820i | ||||
\(359\) | 2.78100e8 | − | 4.81683e8i | 0.317227 | − | 0.549453i | −0.662682 | − | 0.748901i | \(-0.730582\pi\) |
0.979908 | + | 0.199448i | \(0.0639151\pi\) | |||||||
\(360\) | −5.47779e8 | −0.618795 | ||||||||
\(361\) | 3.35105e7 | + | 8.93243e8i | 0.0374892 | + | 0.999297i | ||||
\(362\) | −6.91403e8 | −0.766039 | ||||||||
\(363\) | −5.94325e8 | + | 1.02940e9i | −0.652155 | + | 1.12957i | ||||
\(364\) | 1.06061e8 | − | 1.83703e8i | 0.115266 | − | 0.199647i | ||||
\(365\) | −3.07947e8 | − | 5.33380e8i | −0.331475 | − | 0.574132i | ||||
\(366\) | −2.32559e8 | + | 4.02805e8i | −0.247942 | + | 0.429448i | ||||
\(367\) | −6.41343e8 | − | 1.11084e9i | −0.677266 | − | 1.17306i | −0.975801 | − | 0.218660i | \(-0.929831\pi\) |
0.298535 | − | 0.954399i | \(-0.403502\pi\) | |||||||
\(368\) | 3.45060e8 | 0.360933 | ||||||||
\(369\) | −1.92629e9 | −1.99586 | ||||||||
\(370\) | −6.57780e7 | − | 1.13931e8i | −0.0675110 | − | 0.116932i | ||||
\(371\) | −5.75255e8 | − | 9.96371e8i | −0.584860 | − | 1.01301i | ||||
\(372\) | 7.16427e8 | 0.721559 | ||||||||
\(373\) | −1.83560e8 | −0.183146 | −0.0915729 | − | 0.995798i | \(-0.529189\pi\) | ||||
−0.0915729 | + | 0.995798i | \(0.529189\pi\) | |||||||
\(374\) | −1.87627e8 | − | 3.24979e8i | −0.185458 | − | 0.321222i | ||||
\(375\) | −4.98257e8 | + | 8.63006e8i | −0.487914 | + | 0.845093i | ||||
\(376\) | 2.58788e8 | + | 4.48234e8i | 0.251065 | + | 0.434858i | ||||
\(377\) | 1.86058e8 | − | 3.22263e8i | 0.178836 | − | 0.309753i | ||||
\(378\) | 4.63477e8 | − | 8.02766e8i | 0.441375 | − | 0.764483i | ||||
\(379\) | 9.57969e8 | 0.903887 | 0.451944 | − | 0.892047i | \(-0.350731\pi\) | ||||
0.451944 | + | 0.892047i | \(0.350731\pi\) | |||||||
\(380\) | −4.69763e8 | − | 4.52470e8i | −0.439174 | − | 0.423007i | ||||
\(381\) | 2.20060e9 | 2.03846 | ||||||||
\(382\) | 1.06751e8 | − | 1.84898e8i | 0.0979829 | − | 0.169711i | ||||
\(383\) | 5.79600e8 | − | 1.00390e9i | 0.527148 | − | 0.913048i | −0.472351 | − | 0.881410i | \(-0.656595\pi\) |
0.999499 | − | 0.0316371i | \(-0.0100721\pi\) | |||||||
\(384\) | −7.65224e7 | − | 1.32541e8i | −0.0689651 | − | 0.119451i | ||||
\(385\) | 5.08577e8 | − | 8.80881e8i | 0.454197 | − | 0.786692i | ||||
\(386\) | 5.25594e7 | + | 9.10355e7i | 0.0465152 | + | 0.0805666i | ||||
\(387\) | 9.71903e8 | 0.852382 | ||||||||
\(388\) | −5.84644e8 | −0.508137 | ||||||||
\(389\) | −6.83441e8 | − | 1.18376e9i | −0.588678 | − | 1.01962i | −0.994406 | − | 0.105626i | \(-0.966315\pi\) |
0.405728 | − | 0.913994i | \(-0.367018\pi\) | |||||||
\(390\) | −1.97680e8 | − | 3.42392e8i | −0.168747 | − | 0.292279i | ||||
\(391\) | −2.20925e9 | −1.86907 | ||||||||
\(392\) | −1.00337e9 | −0.841320 | ||||||||
\(393\) | −6.19242e8 | − | 1.07256e9i | −0.514620 | − | 0.891348i | ||||
\(394\) | 9.20683e6 | − | 1.59467e7i | 0.00758356 | − | 0.0131351i | ||||
\(395\) | 1.30226e9 | + | 2.25559e9i | 1.06319 | + | 1.84149i | ||||
\(396\) | −1.79650e8 | + | 3.11162e8i | −0.145376 | + | 0.251799i | ||||
\(397\) | 7.10196e8 | − | 1.23009e9i | 0.569654 | − | 0.986670i | −0.426946 | − | 0.904277i | \(-0.640411\pi\) |
0.996600 | − | 0.0823927i | \(-0.0262562\pi\) | |||||||
\(398\) | 1.11061e9 | 0.883018 | ||||||||
\(399\) | 3.49770e9 | − | 1.00786e9i | 2.75662 | − | 0.794316i | ||||
\(400\) | 1.55915e8 | 0.121808 | ||||||||
\(401\) | −6.18701e8 | + | 1.07162e9i | −0.479154 | + | 0.829920i | −0.999714 | − | 0.0239054i | \(-0.992390\pi\) |
0.520560 | + | 0.853825i | \(0.325723\pi\) | |||||||
\(402\) | −7.12574e8 | + | 1.23421e9i | −0.547065 | + | 0.947545i | ||||
\(403\) | 1.52371e8 | + | 2.63915e8i | 0.115967 | + | 0.200861i | ||||
\(404\) | 1.05421e8 | − | 1.82595e8i | 0.0795415 | − | 0.137770i | ||||
\(405\) | 3.06071e8 | + | 5.30130e8i | 0.228944 | + | 0.396543i | ||||
\(406\) | −2.49986e9 | −1.85385 | ||||||||
\(407\) | −8.62902e7 | −0.0634426 | ||||||||
\(408\) | 4.89935e8 | + | 8.48592e8i | 0.357131 | + | 0.618570i | ||||
\(409\) | −5.02157e8 | − | 8.69762e8i | −0.362918 | − | 0.628592i | 0.625522 | − | 0.780207i | \(-0.284886\pi\) |
−0.988440 | + | 0.151615i | \(0.951553\pi\) | |||||||
\(410\) | 1.67358e9 | 1.19923 | ||||||||
\(411\) | −2.73963e9 | −1.94646 | ||||||||
\(412\) | −2.31666e8 | − | 4.01257e8i | −0.163200 | − | 0.282672i | ||||
\(413\) | 5.39486e8 | − | 9.34418e8i | 0.376839 | − | 0.652703i | ||||
\(414\) | 1.05766e9 | + | 1.83192e9i | 0.732561 | + | 1.26883i | ||||
\(415\) | 3.83870e8 | − | 6.64882e8i | 0.263643 | − | 0.456643i | ||||
\(416\) | 3.25499e7 | − | 5.63781e7i | 0.0221678 | − | 0.0383958i | ||||
\(417\) | 4.23432e9 | 2.85962 | ||||||||
\(418\) | −4.11086e8 | + | 1.18454e8i | −0.275306 | + | 0.0793289i | ||||
\(419\) | 2.28526e9 | 1.51770 | 0.758850 | − | 0.651266i | \(-0.225762\pi\) | ||||
0.758850 | + | 0.651266i | \(0.225762\pi\) | |||||||
\(420\) | −1.32801e9 | + | 2.30017e9i | −0.874636 | + | 1.51491i | ||||
\(421\) | 7.89145e7 | − | 1.36684e8i | 0.0515430 | − | 0.0892750i | −0.839103 | − | 0.543973i | \(-0.816919\pi\) |
0.890646 | + | 0.454698i | \(0.150253\pi\) | |||||||
\(422\) | 2.61106e8 | + | 4.52249e8i | 0.169131 | + | 0.292944i | ||||
\(423\) | −1.58644e9 | + | 2.74780e9i | −1.01914 | + | 1.76520i | ||||
\(424\) | −1.76544e8 | − | 3.05784e8i | −0.112479 | − | 0.194820i | ||||
\(425\) | −9.98244e8 | −0.630777 | ||||||||
\(426\) | 1.69129e9 | 1.05995 | ||||||||
\(427\) | 6.64556e8 | + | 1.15105e9i | 0.413080 | + | 0.715476i | ||||
\(428\) | 4.41283e8 | + | 7.64325e8i | 0.272060 | + | 0.471221i | ||||
\(429\) | −2.59325e8 | −0.158578 | ||||||||
\(430\) | −8.44397e8 | −0.512161 | ||||||||
\(431\) | −1.12746e9 | − | 1.95281e9i | −0.678312 | − | 1.17487i | −0.975489 | − | 0.220048i | \(-0.929379\pi\) |
0.297177 | − | 0.954822i | \(-0.403955\pi\) | |||||||
\(432\) | 1.42240e8 | − | 2.46367e8i | 0.0848846 | − | 0.147024i | ||||
\(433\) | 5.25465e8 | + | 9.10132e8i | 0.311054 | + | 0.538762i | 0.978591 | − | 0.205815i | \(-0.0659846\pi\) |
−0.667537 | + | 0.744577i | \(0.732651\pi\) | |||||||
\(434\) | 1.02362e9 | − | 1.77297e9i | 0.601071 | − | 1.04109i | ||||
\(435\) | −2.32966e9 | + | 4.03509e9i | −1.35700 | + | 2.35040i | ||||
\(436\) | −9.52398e7 | −0.0550320 | ||||||||
\(437\) | −6.06156e8 | + | 2.44465e9i | −0.347455 | + | 1.40130i | ||||
\(438\) | 1.05487e9 | 0.599848 | ||||||||
\(439\) | 8.75455e8 | − | 1.51633e9i | 0.493865 | − | 0.855399i | −0.506110 | − | 0.862469i | \(-0.668917\pi\) |
0.999975 | + | 0.00706990i | \(0.00225044\pi\) | |||||||
\(440\) | 1.56081e8 | − | 2.70340e8i | 0.0873505 | − | 0.151296i | ||||
\(441\) | −3.07548e9 | − | 5.32689e9i | −1.70757 | − | 2.95760i | ||||
\(442\) | −2.08401e8 | + | 3.60961e8i | −0.114795 | + | 0.198830i | ||||
\(443\) | −8.07380e8 | − | 1.39842e9i | −0.441230 | − | 0.764233i | 0.556551 | − | 0.830814i | \(-0.312124\pi\) |
−0.997781 | + | 0.0665805i | \(0.978791\pi\) | |||||||
\(444\) | 2.25323e8 | 0.122170 | ||||||||
\(445\) | −3.69996e9 | −1.99039 | ||||||||
\(446\) | −9.23379e8 | − | 1.59934e9i | −0.492842 | − | 0.853628i | ||||
\(447\) | −5.81910e8 | − | 1.00790e9i | −0.308162 | − | 0.533753i | ||||
\(448\) | −4.37337e8 | −0.229797 | ||||||||
\(449\) | −2.27952e9 | −1.18845 | −0.594224 | − | 0.804299i | \(-0.702541\pi\) | ||||
−0.594224 | + | 0.804299i | \(0.702541\pi\) | |||||||
\(450\) | 4.77901e8 | + | 8.27748e8i | 0.247226 | + | 0.428208i | ||||
\(451\) | 5.48867e8 | − | 9.50665e8i | 0.281740 | − | 0.487989i | ||||
\(452\) | −1.40937e8 | − | 2.44110e8i | −0.0717862 | − | 0.124337i | ||||
\(453\) | −6.17514e8 | + | 1.06957e9i | −0.312107 | + | 0.540585i | ||||
\(454\) | −3.72549e8 | + | 6.45274e8i | −0.186848 | + | 0.323630i | ||||
\(455\) | −1.12977e9 | −0.562278 | ||||||||
\(456\) | 1.07344e9 | − | 3.09309e8i | 0.530150 | − | 0.152762i | ||||
\(457\) | −1.62189e9 | −0.794906 | −0.397453 | − | 0.917622i | \(-0.630106\pi\) | ||||
−0.397453 | + | 0.917622i | \(0.630106\pi\) | |||||||
\(458\) | −7.11453e8 | + | 1.23227e9i | −0.346033 | + | 0.599346i | ||||
\(459\) | −9.10693e8 | + | 1.57737e9i | −0.439570 | + | 0.761357i | ||||
\(460\) | −9.18902e8 | − | 1.59158e9i | −0.440166 | − | 0.762390i | ||||
\(461\) | −1.50991e9 | + | 2.61524e9i | −0.717792 | + | 1.24325i | 0.244081 | + | 0.969755i | \(0.421514\pi\) |
−0.961873 | + | 0.273497i | \(0.911820\pi\) | |||||||
\(462\) | 8.71065e8 | + | 1.50873e9i | 0.410964 | + | 0.711810i | ||||
\(463\) | −1.45390e8 | −0.0680772 | −0.0340386 | − | 0.999421i | \(-0.510837\pi\) | ||||
−0.0340386 | + | 0.999421i | \(0.510837\pi\) | |||||||
\(464\) | −7.67202e8 | −0.356530 | ||||||||
\(465\) | −1.90786e9 | − | 3.30451e9i | −0.879957 | − | 1.52413i | ||||
\(466\) | −7.46974e8 | − | 1.29380e9i | −0.341944 | − | 0.592264i | ||||
\(467\) | 4.27348e9 | 1.94166 | 0.970830 | − | 0.239770i | \(-0.0770721\pi\) | ||||
0.970830 | + | 0.239770i | \(0.0770721\pi\) | |||||||
\(468\) | 3.99080e8 | 0.179970 | ||||||||
\(469\) | 2.03624e9 | + | 3.52686e9i | 0.911430 | + | 1.57864i | ||||
\(470\) | 1.37831e9 | − | 2.38731e9i | 0.612359 | − | 1.06064i | ||||
\(471\) | −1.74593e9 | − | 3.02404e9i | −0.769935 | − | 1.33357i | ||||
\(472\) | 1.65567e8 | − | 2.86771e8i | 0.0724731 | − | 0.125527i | ||||
\(473\) | −2.76928e8 | + | 4.79654e8i | −0.120324 | + | 0.208408i | ||||
\(474\) | −4.46090e9 | −1.92397 | ||||||||
\(475\) | −2.73890e8 | + | 1.10461e9i | −0.117260 | + | 0.472913i | ||||
\(476\) | 2.80005e9 | 1.18999 | ||||||||
\(477\) | 1.08227e9 | − | 1.87454e9i | 0.456584 | − | 0.790826i | ||||
\(478\) | −9.34917e8 | + | 1.61932e9i | −0.391539 | + | 0.678166i | ||||
\(479\) | −4.75468e8 | − | 8.23535e8i | −0.197673 | − | 0.342379i | 0.750101 | − | 0.661324i | \(-0.230005\pi\) |
−0.947773 | + | 0.318944i | \(0.896672\pi\) | |||||||
\(480\) | −4.07561e8 | + | 7.05917e8i | −0.168209 | + | 0.291346i | ||||
\(481\) | 4.79221e7 | + | 8.30035e7i | 0.0196349 | + | 0.0340086i | ||||
\(482\) | 6.39758e8 | 0.260226 | ||||||||
\(483\) | 1.02565e10 | 4.14176 | ||||||||
\(484\) | 5.21213e8 | + | 9.02767e8i | 0.208957 | + | 0.361924i | ||||
\(485\) | 1.55692e9 | + | 2.69666e9i | 0.619684 | + | 1.07332i | ||||
\(486\) | −2.26360e9 | −0.894484 | ||||||||
\(487\) | 3.20901e9 | 1.25898 | 0.629491 | − | 0.777008i | \(-0.283263\pi\) | ||||
0.629491 | + | 0.777008i | \(0.283263\pi\) | |||||||
\(488\) | 2.03951e8 | + | 3.53253e8i | 0.0794430 | + | 0.137599i | ||||
\(489\) | 1.27047e8 | − | 2.20052e8i | 0.0491341 | − | 0.0851028i | ||||
\(490\) | 2.67200e9 | + | 4.62805e9i | 1.02601 | + | 1.77710i | ||||
\(491\) | −1.35999e9 | + | 2.35558e9i | −0.518503 | + | 0.898074i | 0.481266 | + | 0.876575i | \(0.340177\pi\) |
−0.999769 | + | 0.0214990i | \(0.993156\pi\) | |||||||
\(492\) | −1.43321e9 | + | 2.48239e9i | −0.542541 | + | 0.939708i | ||||
\(493\) | 4.91201e9 | 1.84627 | ||||||||
\(494\) | 3.42243e8 | + | 3.29644e8i | 0.127729 | + | 0.123027i | ||||
\(495\) | 1.91364e9 | 0.709157 | ||||||||
\(496\) | 3.14147e8 | − | 5.44119e8i | 0.115597 | − | 0.200220i | ||||
\(497\) | 2.41650e9 | − | 4.18550e9i | 0.882957 | − | 1.52933i | ||||
\(498\) | 6.57474e8 | + | 1.13878e9i | 0.238548 | + | 0.413177i | ||||
\(499\) | 1.56901e8 | − | 2.71761e8i | 0.0565293 | − | 0.0979117i | −0.836376 | − | 0.548156i | \(-0.815330\pi\) |
0.892905 | + | 0.450245i | \(0.148663\pi\) | |||||||
\(500\) | 4.36963e8 | + | 7.56842e8i | 0.156333 | + | 0.270776i | ||||
\(501\) | −6.66206e9 | −2.36688 | ||||||||
\(502\) | −1.26454e9 | −0.446137 | ||||||||
\(503\) | −1.89684e9 | − | 3.28543e9i | −0.664574 | − | 1.15108i | −0.979401 | − | 0.201927i | \(-0.935280\pi\) |
0.314827 | − | 0.949149i | \(-0.398054\pi\) | |||||||
\(504\) | −1.34050e9 | − | 2.32182e9i | −0.466402 | − | 0.807832i | ||||
\(505\) | −1.12296e9 | −0.388011 | ||||||||
\(506\) | −1.20545e9 | −0.413640 | ||||||||
\(507\) | −2.14559e9 | − | 3.71628e9i | −0.731173 | − | 1.26643i | ||||
\(508\) | 9.64943e8 | − | 1.67133e9i | 0.326572 | − | 0.565639i | ||||
\(509\) | 2.15764e8 | + | 3.73714e8i | 0.0725214 | + | 0.125611i | 0.900006 | − | 0.435878i | \(-0.143562\pi\) |
−0.827484 | + | 0.561489i | \(0.810229\pi\) | |||||||
\(510\) | 2.60941e9 | − | 4.51964e9i | 0.871059 | − | 1.50872i | ||||
\(511\) | 1.50719e9 | − | 2.61053e9i | 0.499684 | − | 0.865477i | ||||
\(512\) | −1.34218e8 | −0.0441942 | ||||||||
\(513\) | 1.49557e9 | + | 1.44051e9i | 0.489098 | + | 0.471093i | ||||
\(514\) | −3.22834e8 | −0.104860 | ||||||||
\(515\) | −1.23386e9 | + | 2.13711e9i | −0.398053 | + | 0.689448i | ||||
\(516\) | 7.23120e8 | − | 1.25248e9i | 0.231706 | − | 0.401326i | ||||
\(517\) | −9.04064e8 | − | 1.56589e9i | −0.287728 | − | 0.498360i | ||||
\(518\) | 3.21938e8 | − | 5.57613e8i | 0.101770 | − | 0.176270i | ||||
\(519\) | 2.54366e9 | + | 4.40575e9i | 0.798680 | + | 1.38336i | ||||
\(520\) | −3.46724e8 | −0.108137 | ||||||||
\(521\) | −1.87361e9 | −0.580427 | −0.290214 | − | 0.956962i | \(-0.593726\pi\) | ||||
−0.290214 | + | 0.956962i | \(0.593726\pi\) | |||||||
\(522\) | −2.35158e9 | − | 4.07306e9i | −0.723625 | − | 1.25336i | ||||
\(523\) | 1.23005e9 | + | 2.13052e9i | 0.375983 | + | 0.651222i | 0.990474 | − | 0.137702i | \(-0.0439718\pi\) |
−0.614491 | + | 0.788924i | \(0.710638\pi\) | |||||||
\(524\) | −1.08613e9 | −0.329779 | ||||||||
\(525\) | 4.63439e9 | 1.39777 | ||||||||
\(526\) | −5.59602e8 | − | 9.69259e8i | −0.167660 | − | 0.290395i | ||||
\(527\) | −2.01133e9 | + | 3.48373e9i | −0.598613 | + | 1.03683i | ||||
\(528\) | 2.67328e8 | + | 4.63025e8i | 0.0790361 | + | 0.136894i | ||||
\(529\) | −1.84604e9 | + | 3.19743e9i | −0.542183 | + | 0.939089i | ||||
\(530\) | −9.40282e8 | + | 1.62862e9i | −0.274342 | + | 0.475175i | ||||
\(531\) | 2.02995e9 | 0.588375 | ||||||||
\(532\) | 7.68256e8 | − | 3.09840e9i | 0.221215 | − | 0.892170i | ||||
\(533\) | −1.21927e9 | −0.348784 | ||||||||
\(534\) | 3.16855e9 | − | 5.48810e9i | 0.900465 | − | 1.55965i | ||||
\(535\) | 2.35029e9 | − | 4.07083e9i | 0.663566 | − | 1.14933i | ||||
\(536\) | 6.24916e8 | + | 1.08239e9i | 0.175285 | + | 0.303603i | ||||
\(537\) | 3.06257e8 | − | 5.30453e8i | 0.0853447 | − | 0.147821i | ||||
\(538\) | 2.38046e8 | + | 4.12307e8i | 0.0659056 | + | 0.114152i | ||||
\(539\) | 3.50524e9 | 0.964178 | ||||||||
\(540\) | −1.51515e9 | −0.414074 | ||||||||
\(541\) | 2.50067e9 | + | 4.33129e9i | 0.678995 | + | 1.17605i | 0.975284 | + | 0.220955i | \(0.0709174\pi\) |
−0.296289 | + | 0.955098i | \(0.595749\pi\) | |||||||
\(542\) | 8.22243e8 | + | 1.42417e9i | 0.221821 | + | 0.384205i | ||||
\(543\) | −6.30710e9 | −1.69056 | ||||||||
\(544\) | 8.59330e8 | 0.228857 | ||||||||
\(545\) | 2.53626e8 | + | 4.39292e8i | 0.0671128 | + | 0.116243i | ||||
\(546\) | 9.67509e8 | − | 1.67577e9i | 0.254379 | − | 0.440597i | ||||
\(547\) | −1.25370e9 | − | 2.17148e9i | −0.327521 | − | 0.567283i | 0.654498 | − | 0.756063i | \(-0.272880\pi\) |
−0.982019 | + | 0.188781i | \(0.939547\pi\) | |||||||
\(548\) | −1.20131e9 | + | 2.08072e9i | −0.311833 | + | 0.540110i | ||||
\(549\) | −1.25028e9 | + | 2.16554e9i | −0.322480 | + | 0.558552i | ||||
\(550\) | −5.44681e8 | −0.139596 | ||||||||
\(551\) | 1.34772e9 | − | 5.43540e9i | 0.343217 | − | 1.38421i | ||||
\(552\) | 3.14770e9 | 0.796538 | ||||||||
\(553\) | −6.37369e9 | + | 1.10396e10i | −1.60270 | + | 2.77596i | ||||
\(554\) | −1.50631e8 | + | 2.60900e8i | −0.0376383 | + | 0.0651914i | ||||
\(555\) | −6.00039e8 | − | 1.03930e9i | −0.148989 | − | 0.258056i | ||||
\(556\) | 1.85671e9 | − | 3.21592e9i | 0.458124 | − | 0.793495i | ||||
\(557\) | −1.48401e9 | − | 2.57039e9i | −0.363869 | − | 0.630239i | 0.624725 | − | 0.780845i | \(-0.285211\pi\) |
−0.988594 | + | 0.150606i | \(0.951878\pi\) | |||||||
\(558\) | 3.85163e9 | 0.938479 | ||||||||
\(559\) | 6.15179e8 | 0.148957 | ||||||||
\(560\) | 1.16464e9 | + | 2.01721e9i | 0.280242 | + | 0.485393i | ||||
\(561\) | −1.71157e9 | − | 2.96452e9i | −0.409283 | − | 0.708899i | ||||
\(562\) | −2.47754e9 | −0.588767 | ||||||||
\(563\) | −8.36370e8 | −0.197524 | −0.0987619 | − | 0.995111i | \(-0.531488\pi\) | ||||
−0.0987619 | + | 0.995111i | \(0.531488\pi\) | |||||||
\(564\) | 2.36071e9 | + | 4.08887e9i | 0.554071 | + | 0.959680i | ||||
\(565\) | −7.50637e8 | + | 1.30014e9i | −0.175090 | + | 0.303264i | ||||
\(566\) | −1.68441e9 | − | 2.91749e9i | −0.390473 | − | 0.676319i | ||||
\(567\) | −1.49801e9 | + | 2.59462e9i | −0.345122 | + | 0.597770i | ||||
\(568\) | 7.41618e8 | − | 1.28452e9i | 0.169809 | − | 0.294118i | ||||
\(569\) | −1.94042e9 | −0.441572 | −0.220786 | − | 0.975322i | \(-0.570862\pi\) | ||||
−0.220786 | + | 0.975322i | \(0.570862\pi\) | |||||||
\(570\) | −4.28526e9 | − | 4.12751e9i | −0.969205 | − | 0.933526i | ||||
\(571\) | −6.81678e9 | −1.53233 | −0.766166 | − | 0.642643i | \(-0.777838\pi\) | ||||
−0.766166 | + | 0.642643i | \(0.777838\pi\) | |||||||
\(572\) | −1.13712e8 | + | 1.96954e8i | −0.0254050 | + | 0.0440027i | ||||
\(573\) | 9.73802e8 | − | 1.68667e9i | 0.216237 | − | 0.374533i | ||||
\(574\) | 4.09551e9 | + | 7.09363e9i | 0.903892 | + | 1.56559i | ||||
\(575\) | −1.60336e9 | + | 2.77710e9i | −0.351717 | + | 0.609192i | ||||
\(576\) | −4.11397e8 | − | 7.12560e8i | −0.0896979 | − | 0.155361i | ||||
\(577\) | 3.90313e9 | 0.845859 | 0.422930 | − | 0.906163i | \(-0.361002\pi\) | ||||
0.422930 | + | 0.906163i | \(0.361002\pi\) | |||||||
\(578\) | −2.21915e9 | −0.478013 | ||||||||
\(579\) | 4.79456e8 | + | 8.30442e8i | 0.102654 | + | 0.177801i | ||||
\(580\) | 2.04307e9 | + | 3.53871e9i | 0.434797 | + | 0.753090i | ||||
\(581\) | 3.75756e9 | 0.794858 | ||||||||
\(582\) | −5.33323e9 | −1.12140 | ||||||||
\(583\) | 6.16750e8 | + | 1.06824e9i | 0.128905 | + | 0.223270i | ||||
\(584\) | 4.62553e8 | − | 8.01166e8i | 0.0960985 | − | 0.166448i | ||||
\(585\) | −1.06276e9 | − | 1.84075e9i | −0.219477 | − | 0.380146i | ||||
\(586\) | 6.32645e8 | − | 1.09577e9i | 0.129873 | − | 0.224946i | ||||
\(587\) | −9.93977e8 | + | 1.72162e9i | −0.202835 | + | 0.351320i | −0.949441 | − | 0.313946i | \(-0.898349\pi\) |
0.746606 | + | 0.665267i | \(0.231682\pi\) | |||||||
\(588\) | −9.15295e9 | −1.85669 | ||||||||
\(589\) | 3.30307e9 | + | 3.18148e9i | 0.666061 | + | 0.641542i | ||||
\(590\) | −1.76363e9 | −0.353530 | ||||||||
\(591\) | 8.39864e7 | − | 1.45469e8i | 0.0167360 | − | 0.0289877i | ||||
\(592\) | 9.88020e7 | − | 1.71130e8i | 0.0195722 | − | 0.0339001i | ||||
\(593\) | 3.18893e9 | + | 5.52339e9i | 0.627991 | + | 1.08771i | 0.987954 | + | 0.154746i | \(0.0494561\pi\) |
−0.359963 | + | 0.932967i | \(0.617211\pi\) | |||||||
\(594\) | −4.96910e8 | + | 8.60673e8i | −0.0972803 | + | 0.168494i | ||||
\(595\) | −7.45660e9 | − | 1.29152e10i | −1.45121 | − | 2.51358i | ||||
\(596\) | −1.02065e9 | −0.197477 | ||||||||
\(597\) | 1.01312e10 | 1.94872 | ||||||||
\(598\) | 6.69459e8 | + | 1.15954e9i | 0.128018 | + | 0.221733i | ||||
\(599\) | 2.44848e9 | + | 4.24088e9i | 0.465481 | + | 0.806237i | 0.999223 | − | 0.0394107i | \(-0.0125481\pi\) |
−0.533742 | + | 0.845647i | \(0.679215\pi\) | |||||||
\(600\) | 1.42228e9 | 0.268817 | ||||||||
\(601\) | −4.36013e9 | −0.819292 | −0.409646 | − | 0.912245i | \(-0.634348\pi\) | ||||
−0.409646 | + | 0.912245i | \(0.634348\pi\) | |||||||
\(602\) | −2.06637e9 | − | 3.57906e9i | −0.386030 | − | 0.668623i | ||||
\(603\) | −3.83091e9 | + | 6.63534e9i | −0.711528 | + | 1.23240i | ||||
\(604\) | 5.41549e8 | + | 9.37991e8i | 0.100002 | + | 0.173209i | ||||
\(605\) | 2.77600e9 | − | 4.80818e9i | 0.509655 | − | 0.882748i | ||||
\(606\) | 9.61673e8 | − | 1.66567e9i | 0.175539 | − | 0.304042i | ||||
\(607\) | 6.41174e9 | 1.16363 | 0.581816 | − | 0.813321i | \(-0.302343\pi\) | ||||
0.581816 | + | 0.813321i | \(0.302343\pi\) | |||||||
\(608\) | 2.35776e8 | − | 9.50893e8i | 0.0425439 | − | 0.171581i | ||||
\(609\) | −2.28042e10 | −4.09123 | ||||||||
\(610\) | 1.08625e9 | − | 1.88144e9i | 0.193765 | − | 0.335611i | ||||
\(611\) | −1.00416e9 | + | 1.73926e9i | −0.178098 | + | 0.308475i | ||||
\(612\) | 2.63397e9 | + | 4.56217e9i | 0.464495 | + | 0.804528i | ||||
\(613\) | 2.07978e9 | − | 3.60228e9i | 0.364674 | − | 0.631634i | −0.624050 | − | 0.781385i | \(-0.714514\pi\) |
0.988724 | + | 0.149751i | \(0.0478471\pi\) | |||||||
\(614\) | 3.92281e9 | + | 6.79450e9i | 0.683923 | + | 1.18459i | ||||
\(615\) | 1.52667e10 | 2.64656 | ||||||||
\(616\) | 1.52782e9 | 0.263354 | ||||||||
\(617\) | −2.70933e7 | − | 4.69270e7i | −0.00464370 | − | 0.00804312i | 0.863694 | − | 0.504016i | \(-0.168145\pi\) |
−0.868338 | + | 0.495973i | \(0.834811\pi\) | |||||||
\(618\) | −2.11330e9 | − | 3.66034e9i | −0.360164 | − | 0.623823i | ||||
\(619\) | −6.39443e8 | −0.108364 | −0.0541819 | − | 0.998531i | \(-0.517255\pi\) | ||||
−0.0541819 | + | 0.998531i | \(0.517255\pi\) | |||||||
\(620\) | −3.34632e9 | −0.563893 | ||||||||
\(621\) | 2.92548e9 | + | 5.06707e9i | 0.490203 | + | 0.849056i | ||||
\(622\) | 7.29353e8 | − | 1.26328e9i | 0.121527 | − | 0.210490i | ||||
\(623\) | −9.05439e9 | − | 1.56827e10i | −1.50021 | − | 2.59843i | ||||
\(624\) | 2.96926e8 | − | 5.14291e8i | 0.0489218 | − | 0.0847350i | ||||
\(625\) | 3.81420e9 | − | 6.60639e9i | 0.624919 | − | 1.08239i | ||||
\(626\) | −4.24273e9 | −0.691251 | ||||||||
\(627\) | −3.75000e9 | + | 1.08056e9i | −0.607568 | + | 0.175070i | ||||
\(628\) | −3.06231e9 | −0.493390 | ||||||||
\(629\) | −6.32581e8 | + | 1.09566e9i | −0.101353 | + | 0.175549i | ||||
\(630\) | −7.13957e9 | + | 1.23661e10i | −1.13757 | + | 1.97034i | ||||
\(631\) | 3.76343e9 | + | 6.51844e9i | 0.596322 | + | 1.03286i | 0.993359 | + | 0.115057i | \(0.0367050\pi\) |
−0.397037 | + | 0.917802i | \(0.629962\pi\) | |||||||
\(632\) | −1.95607e9 | + | 3.38801e9i | −0.308230 | + | 0.533870i | ||||
\(633\) | 2.38186e9 | + | 4.12550e9i | 0.373252 | + | 0.646492i | ||||
\(634\) | 6.81750e9 | 1.06246 | ||||||||
\(635\) | −1.02787e10 | −1.59305 | ||||||||
\(636\) | −1.61047e9 | − | 2.78941e9i | −0.248229 | − | 0.429945i | ||||
\(637\) | −1.94667e9 | − | 3.37173e9i | −0.298404 | − | 0.516850i | ||||
\(638\) | 2.68019e9 | 0.408594 | ||||||||
\(639\) | 9.09267e9 | 1.37860 | ||||||||
\(640\) | 3.57425e8 | + | 6.19078e8i | 0.0538958 | + | 0.0933502i | ||||
\(641\) | 4.35523e9 | − | 7.54348e9i | 0.653143 | − | 1.13128i | −0.329213 | − | 0.944256i | \(-0.606784\pi\) |
0.982356 | − | 0.187021i | \(-0.0598831\pi\) | |||||||
\(642\) | 4.02547e9 | + | 6.97231e9i | 0.600404 | + | 1.03993i | ||||
\(643\) | 6.64828e8 | − | 1.15152e9i | 0.0986213 | − | 0.170817i | −0.812493 | − | 0.582971i | \(-0.801890\pi\) |
0.911114 | + | 0.412154i | \(0.135223\pi\) | |||||||
\(644\) | 4.49739e9 | − | 7.78972e9i | 0.663530 | − | 1.14927i | ||||
\(645\) | −7.70274e9 | −1.13028 | ||||||||
\(646\) | −1.50956e9 | + | 6.08810e9i | −0.220311 | + | 0.888521i | ||||
\(647\) | 1.16976e10 | 1.69798 | 0.848988 | − | 0.528413i | \(-0.177213\pi\) | ||||
0.848988 | + | 0.528413i | \(0.177213\pi\) | |||||||
\(648\) | −4.59735e8 | + | 7.96284e8i | −0.0663735 | + | 0.114962i | ||||
\(649\) | −5.78401e8 | + | 1.00182e9i | −0.0830564 | + | 0.143858i | ||||
\(650\) | 3.02494e8 | + | 5.23935e8i | 0.0432036 | + | 0.0748308i | ||||
\(651\) | 9.33767e9 | − | 1.61733e10i | 1.32649 | − | 2.29755i | ||||
\(652\) | −1.11418e8 | − | 1.92982e8i | −0.0157430 | − | 0.0272678i | ||||
\(653\) | −1.65914e9 | −0.233177 | −0.116588 | − | 0.993180i | \(-0.537196\pi\) | ||||
−0.116588 | + | 0.993180i | \(0.537196\pi\) | |||||||
\(654\) | −8.68794e8 | −0.121449 | ||||||||
\(655\) | 2.89239e9 | + | 5.00976e9i | 0.402172 | + | 0.696582i | ||||
\(656\) | 1.25690e9 | + | 2.17702e9i | 0.173835 | + | 0.301092i | ||||
\(657\) | 5.67117e9 | 0.780178 | ||||||||
\(658\) | 1.34918e10 | 1.84620 | ||||||||
\(659\) | 1.05598e9 | + | 1.82902e9i | 0.143734 | + | 0.248954i | 0.928900 | − | 0.370331i | \(-0.120756\pi\) |
−0.785166 | + | 0.619285i | \(0.787423\pi\) | |||||||
\(660\) | 1.42380e9 | − | 2.46609e9i | 0.192772 | − | 0.333892i | ||||
\(661\) | 1.38493e9 | + | 2.39877e9i | 0.186519 | + | 0.323060i | 0.944087 | − | 0.329696i | \(-0.106946\pi\) |
−0.757568 | + | 0.652756i | \(0.773613\pi\) | |||||||
\(662\) | 2.19564e9 | − | 3.80296e9i | 0.294143 | − | 0.509471i | ||||
\(663\) | −1.90107e9 | + | 3.29275e9i | −0.253338 | + | 0.438795i | ||||
\(664\) | 1.15319e9 | 0.152866 | ||||||||
\(665\) | −1.63372e10 | + | 4.70754e9i | −2.15428 | + | 0.620753i | ||||
\(666\) | 1.21137e9 | 0.158897 | ||||||||
\(667\) | 7.88958e9 | − | 1.36652e10i | 1.02947 | − | 1.78309i | ||||
\(668\) | −2.92126e9 | + | 5.05976e9i | −0.379186 | + | 0.656769i | ||||
\(669\) | −8.42323e9 | − | 1.45895e10i | −1.08765 | − | 1.88386i | ||||
\(670\) | 3.32833e9 | − | 5.76483e9i | 0.427528 | − | 0.740500i | ||||
\(671\) | −7.12493e8 | − | 1.23407e9i | −0.0910441 | − | 0.157693i | ||||
\(672\) | −3.98947e9 | −0.507134 | ||||||||
\(673\) | 2.12430e9 | 0.268636 | 0.134318 | − | 0.990938i | \(-0.457116\pi\) | ||||
0.134318 | + | 0.990938i | \(0.457116\pi\) | |||||||
\(674\) | 3.05785e8 | + | 5.29635e8i | 0.0384686 | + | 0.0666295i | ||||
\(675\) | 1.32187e9 | + | 2.28955e9i | 0.165434 | + | 0.286541i | ||||
\(676\) | −3.76330e9 | −0.468550 | ||||||||
\(677\) | 1.20120e10 | 1.48783 | 0.743915 | − | 0.668274i | \(-0.232967\pi\) | ||||
0.743915 | + | 0.668274i | \(0.232967\pi\) | |||||||
\(678\) | −1.28565e9 | − | 2.22682e9i | −0.158424 | − | 0.274398i | ||||
\(679\) | −7.62006e9 | + | 1.31983e10i | −0.934145 | + | 1.61799i | ||||
\(680\) | −2.28841e9 | − | 3.96365e9i | −0.279096 | − | 0.483408i | ||||
\(681\) | −3.39846e9 | + | 5.88631e9i | −0.412351 | + | 0.714214i | ||||
\(682\) | −1.09746e9 | + | 1.90086e9i | −0.132478 | + | 0.229458i | ||||
\(683\) | 6.25738e9 | 0.751485 | 0.375742 | − | 0.926724i | \(-0.377388\pi\) | ||||
0.375742 | + | 0.926724i | \(0.377388\pi\) | |||||||
\(684\) | 5.77096e9 | − | 1.66289e9i | 0.689528 | − | 0.198686i | ||||
\(685\) | 1.27964e10 | 1.52115 | ||||||||
\(686\) | −7.58193e9 | + | 1.31323e10i | −0.896696 | + | 1.55312i | ||||
\(687\) | −6.49000e9 | + | 1.12410e10i | −0.763653 | + | 1.32269i | ||||
\(688\) | −6.34164e8 | − | 1.09841e9i | −0.0742407 | − | 0.128589i | ||||
\(689\) | 6.85036e8 | − | 1.18652e9i | 0.0797896 | − | 0.138200i | ||||
\(690\) | −8.38239e9 | − | 1.45187e10i | −0.971395 | − | 1.68251i | ||||
\(691\) | 1.21622e10 | 1.40229 | 0.701146 | − | 0.713018i | \(-0.252672\pi\) | ||||
0.701146 | + | 0.713018i | \(0.252672\pi\) | |||||||
\(692\) | 4.46149e9 | 0.511810 | ||||||||
\(693\) | 4.68299e9 | + | 8.11117e9i | 0.534511 | + | 0.925800i | ||||
\(694\) | 2.61672e9 | + | 4.53229e9i | 0.297166 | + | 0.514707i | ||||
\(695\) | −1.97779e10 | −2.23477 | ||||||||
\(696\) | −6.99855e9 | −0.786821 | ||||||||
\(697\) | −8.04732e9 | − | 1.39384e10i | −0.900195 | − | 1.55918i | ||||
\(698\) | 4.44810e9 | − | 7.70434e9i | 0.495086 | − | 0.857515i | ||||
\(699\) | −6.81403e9 | − | 1.18022e10i | −0.754630 | − | 1.30706i | ||||
\(700\) | 2.03214e9 | − | 3.51977e9i | 0.223929 | − | 0.387856i | ||||
\(701\) | −3.38467e9 | + | 5.86242e9i | −0.371111 | + | 0.642782i | −0.989737 | − | 0.142903i | \(-0.954356\pi\) |
0.618626 | + | 0.785686i | \(0.287690\pi\) | |||||||
\(702\) | 1.10385e9 | 0.120429 | ||||||||
\(703\) | 1.03884e9 | + | 1.00060e9i | 0.112773 | + | 0.108622i | ||||
\(704\) | 4.68884e8 | 0.0506478 | ||||||||
\(705\) | 1.25732e10 | − | 2.17775e10i | 1.35140 | − | 2.34070i | ||||
\(706\) | −1.04392e9 | + | 1.80812e9i | −0.111648 | + | 0.193379i | ||||
\(707\) | −2.74805e9 | − | 4.75977e9i | −0.292454 | − | 0.506545i | ||||
\(708\) | 1.51033e9 | − | 2.61597e9i | 0.159940 | − | 0.277024i | ||||
\(709\) | −2.39107e9 | − | 4.14146e9i | −0.251960 | − | 0.436407i | 0.712106 | − | 0.702072i | \(-0.247742\pi\) |
−0.964065 | + | 0.265665i | \(0.914408\pi\) | |||||||
\(710\) | −7.89978e9 | −0.828344 | ||||||||
\(711\) | −2.39825e10 | −2.50237 | ||||||||
\(712\) | −2.77877e9 | − | 4.81297e9i | −0.288518 | − | 0.499727i | ||||
\(713\) | 6.46112e9 | + | 1.11910e10i | 0.667566 | + | 1.15626i | ||||
\(714\) | 2.55426e10 | 2.62616 | ||||||||
\(715\) | 1.21127e9 | 0.123928 | ||||||||
\(716\) | −2.68583e8 | − | 4.65199e8i | −0.0273453 | − | 0.0473634i | ||||
\(717\) | −8.52848e9 | + | 1.47718e10i | −0.864081 | + | 1.49663i | ||||
\(718\) | −2.22480e9 | − | 3.85346e9i | −0.224313 | − | 0.388522i | ||||
\(719\) | 4.39238e9 | − | 7.60783e9i | 0.440706 | − | 0.763325i | −0.557036 | − | 0.830488i | \(-0.688062\pi\) |
0.997742 | + | 0.0671633i | \(0.0213948\pi\) | |||||||
\(720\) | −2.19112e9 | + | 3.79512e9i | −0.218777 | + | 0.378933i | ||||
\(721\) | −1.20778e10 | −1.20009 | ||||||||
\(722\) | 6.32261e9 | + | 3.34081e9i | 0.625196 | + | 0.330348i | ||||
\(723\) | 5.83599e9 | 0.574289 | ||||||||
\(724\) | −2.76561e9 | + | 4.79018e9i | −0.270836 | + | 0.469101i | ||||
\(725\) | 3.56489e9 | − | 6.17457e9i | 0.347427 | − | 0.601761i | ||||
\(726\) | 4.75460e9 | + | 8.23520e9i | 0.461143 | + | 0.798723i | ||||
\(727\) | −5.17575e9 | + | 8.96466e9i | −0.499577 | + | 0.865293i | −1.00000 | 0.000487869i | \(-0.999845\pi\) | |
0.500422 | + | 0.865781i | \(0.333178\pi\) | |||||||
\(728\) | −8.48489e8 | − | 1.46963e9i | −0.0815054 | − | 0.141171i | ||||
\(729\) | −1.67215e10 | −1.59856 | ||||||||
\(730\) | −4.92715e9 | −0.468777 | ||||||||
\(731\) | 4.06024e9 | + | 7.03254e9i | 0.384451 | + | 0.665889i | ||||
\(732\) | 1.86048e9 | + | 3.22244e9i | 0.175321 | + | 0.303666i | ||||
\(733\) | 6.10462e9 | 0.572525 | 0.286263 | − | 0.958151i | \(-0.407587\pi\) | ||||
0.286263 | + | 0.958151i | \(0.407587\pi\) | |||||||
\(734\) | −1.02615e10 | −0.957799 | ||||||||
\(735\) | 2.43745e10 | + | 4.22179e10i | 2.26428 | + | 3.92185i | ||||
\(736\) | 1.38024e9 | − | 2.39064e9i | 0.127609 | − | 0.221026i | ||||
\(737\) | −2.18312e9 | − | 3.78127e9i | −0.200882 | − | 0.347938i | ||||
\(738\) | −7.70517e9 | + | 1.33458e10i | −0.705643 | + | 1.22221i | ||||
\(739\) | −6.10665e9 | + | 1.05770e10i | −0.556606 | + | 0.964069i | 0.441171 | + | 0.897423i | \(0.354563\pi\) |
−0.997777 | + | 0.0666463i | \(0.978770\pi\) | |||||||
\(740\) | −1.05245e9 | −0.0954750 | ||||||||
\(741\) | 3.12200e9 | + | 3.00707e9i | 0.281883 | + | 0.271506i | ||||
\(742\) | −9.20408e9 | −0.827116 | ||||||||
\(743\) | 7.73643e9 | − | 1.33999e10i | 0.691958 | − | 1.19851i | −0.279237 | − | 0.960222i | \(-0.590082\pi\) |
0.971195 | − | 0.238285i | \(-0.0765851\pi\) | |||||||
\(744\) | 2.86571e9 | − | 4.96355e9i | 0.255110 | − | 0.441863i | ||||
\(745\) | 2.71802e9 | + | 4.70774e9i | 0.240827 | + | 0.417124i | ||||
\(746\) | −7.34240e8 | + | 1.27174e9i | −0.0647519 | + | 0.112153i | ||||
\(747\) | 3.53468e9 | + | 6.12225e9i | 0.310262 | + | 0.537389i | ||||
\(748\) | −3.00203e9 | −0.262277 | ||||||||
\(749\) | 2.30062e10 | 2.00059 | ||||||||
\(750\) | 3.98605e9 | + | 6.90405e9i | 0.345008 | + | 0.597571i | ||||
\(751\) | −7.52271e9 | − | 1.30297e10i | −0.648089 | − | 1.12252i | −0.983579 | − | 0.180479i | \(-0.942235\pi\) |
0.335490 | − | 0.942044i | \(-0.391098\pi\) | |||||||
\(752\) | 4.14061e9 | 0.355060 | ||||||||
\(753\) | −1.15353e10 | −0.984573 | ||||||||
\(754\) | −1.48847e9 | − | 2.57810e9i | −0.126456 | − | 0.219028i | ||||
\(755\) | 2.88432e9 | − | 4.99578e9i | 0.243909 | − | 0.422463i | ||||
\(756\) | −3.70782e9 | − | 6.42213e9i | −0.312099 | − | 0.540571i | ||||
\(757\) | −9.52906e9 | + | 1.65048e10i | −0.798389 | + | 1.38285i | 0.122276 | + | 0.992496i | \(0.460981\pi\) |
−0.920665 | + | 0.390354i | \(0.872353\pi\) | |||||||
\(758\) | 3.83188e9 | − | 6.63700e9i | 0.319572 | − | 0.553516i | ||||
\(759\) | −1.09963e10 | −0.912856 | ||||||||
\(760\) | −5.01386e9 | + | 1.44473e9i | −0.414309 | + | 0.119382i | ||||
\(761\) | 9.48311e9 | 0.780018 | 0.390009 | − | 0.920811i | \(-0.372472\pi\) | ||||
0.390009 | + | 0.920811i | \(0.372472\pi\) | |||||||
\(762\) | 8.80239e9 | − | 1.52462e10i | 0.720706 | − | 1.24830i | ||||
\(763\) | −1.24132e9 | + | 2.15004e9i | −0.101169 | + | 0.175230i | ||||
\(764\) | −8.54008e8 | − | 1.47919e9i | −0.0692844 | − | 0.120004i | ||||
\(765\) | 1.40286e10 | − | 2.42983e10i | 1.13292 | − | 1.96228i | ||||
\(766\) | −4.63680e9 | − | 8.03118e9i | −0.372750 | − | 0.645622i | ||||
\(767\) | 1.28488e9 | 0.102821 | ||||||||
\(768\) | −1.22436e9 | −0.0975314 | ||||||||
\(769\) | 8.19532e9 | + | 1.41947e10i | 0.649866 | + | 1.12560i | 0.983155 | + | 0.182775i | \(0.0585081\pi\) |
−0.333289 | + | 0.942825i | \(0.608159\pi\) | |||||||
\(770\) | −4.06861e9 | − | 7.04705e9i | −0.321166 | − | 0.556275i | ||||
\(771\) | −2.94495e9 | −0.231413 | ||||||||
\(772\) | 8.40950e8 | 0.0657824 | ||||||||
\(773\) | 3.66406e8 | + | 6.34633e8i | 0.0285321 | + | 0.0494191i | 0.879939 | − | 0.475087i | \(-0.157583\pi\) |
−0.851407 | + | 0.524506i | \(0.824250\pi\) | |||||||
\(774\) | 3.88761e9 | − | 6.73354e9i | 0.301363 | − | 0.521975i | ||||
\(775\) | 2.91945e9 | + | 5.05663e9i | 0.225291 | + | 0.390216i | ||||
\(776\) | −2.33858e9 | + | 4.05053e9i | −0.179653 | + | 0.311169i | ||||
\(777\) | 2.93678e9 | − | 5.08665e9i | 0.224594 | − | 0.389008i | ||||
\(778\) | −1.09351e10 | −0.832516 | ||||||||
\(779\) | −1.76315e10 | + | 5.08048e9i | −1.33631 | + | 0.385056i | ||||
\(780\) | −3.16288e9 | −0.238645 | ||||||||
\(781\) | −2.59081e9 | + | 4.48742e9i | −0.194606 | + | 0.337068i | ||||
\(782\) | −8.83699e9 | + | 1.53061e10i | −0.660816 | + | 1.14457i | ||||
\(783\) | −6.50446e9 | − | 1.12661e10i | −0.484223 | − | 0.838699i | ||||
\(784\) | −4.01349e9 | + | 6.95157e9i | −0.297452 | + | 0.515201i | ||||
\(785\) | 8.15499e9 | + | 1.41249e10i | 0.601699 | + | 1.04217i | ||||
\(786\) | −9.90788e9 | −0.727783 | ||||||||
\(787\) | 1.56506e9 | 0.114451 | 0.0572255 | − | 0.998361i | \(-0.481775\pi\) | ||||
0.0572255 | + | 0.998361i | \(0.481775\pi\) | |||||||
\(788\) | −7.36546e7 | − | 1.27574e8i | −0.00536239 | − | 0.00928793i | ||||
\(789\) | −5.10479e9 | − | 8.84176e9i | −0.370006 | − | 0.640869i | ||||
\(790\) | 2.08362e10 | 1.50357 | ||||||||
\(791\) | −7.34771e9 | −0.527879 | ||||||||
\(792\) | 1.43720e9 | + | 2.48930e9i | 0.102796 | + | 0.178049i | ||||
\(793\) | −7.91380e8 | + | 1.37071e9i | −0.0563545 | + | 0.0976089i | ||||
\(794\) | −5.68157e9 | − | 9.84076e9i | −0.402806 | − | 0.697681i | ||||
\(795\) | −8.57743e9 | + | 1.48565e10i | −0.605441 | + | 1.04866i | ||||
\(796\) | 4.44243e9 | − | 7.69451e9i | 0.312194 | − | 0.540736i | ||||
\(797\) | 3.24169e9 | 0.226813 | 0.113406 | − | 0.993549i | \(-0.463824\pi\) | ||||
0.113406 | + | 0.993549i | \(0.463824\pi\) | |||||||
\(798\) | 7.00817e9 | − | 2.82642e10i | 0.488197 | − | 1.96891i | ||||
\(799\) | −2.65102e10 | −1.83865 | ||||||||
\(800\) | 6.23659e8 | − | 1.08021e9i | 0.0430657 | − | 0.0745920i | ||||
\(801\) | 1.70347e10 | − | 2.95049e10i | 1.17117 | − | 2.02852i | ||||
\(802\) | 4.94961e9 | + | 8.57297e9i | 0.338813 | + | 0.586842i | ||||
\(803\) | −1.61591e9 | + | 2.79884e9i | −0.110132 | + | 0.190754i | ||||
\(804\) | 5.70059e9 | + | 9.87372e9i | 0.386833 | + | 0.670015i | ||||
\(805\) | −4.79066e10 | −3.23676 | ||||||||
\(806\) | 2.43794e9 | 0.164002 | ||||||||
\(807\) | 2.17150e9 | + | 3.76114e9i | 0.145446 | + | 0.251920i | ||||
\(808\) | −8.43371e8 | − | 1.46076e9i | −0.0562444 | − | 0.0974181i | ||||
\(809\) | −2.16746e9 | −0.143923 | −0.0719616 | − | 0.997407i | \(-0.522926\pi\) | ||||
−0.0719616 | + | 0.997407i | \(0.522926\pi\) | |||||||
\(810\) | 4.89713e9 | 0.323776 | ||||||||
\(811\) | −7.51987e9 | − | 1.30248e10i | −0.495036 | − | 0.857428i | 0.504947 | − | 0.863150i | \(-0.331512\pi\) |
−0.999984 | + | 0.00572206i | \(0.998179\pi\) | |||||||
\(812\) | −9.99945e9 | + | 1.73196e10i | −0.655435 | + | 1.13525i | ||||
\(813\) | 7.50065e9 | + | 1.29915e10i | 0.489533 | + | 0.847896i | ||||
\(814\) | −3.45161e8 | + | 5.97836e8i | −0.0224303 | + | 0.0388505i | ||||
\(815\) | −5.93417e8 | + | 1.02783e9i | −0.0383980 | + | 0.0665073i | ||||
\(816\) | 7.83896e9 | 0.505060 | ||||||||
\(817\) | 8.89589e9 | − | 2.56333e9i | 0.570706 | − | 0.164448i | ||||
\(818\) | −8.03452e9 | −0.513243 | ||||||||
\(819\) | 5.20148e9 | − | 9.00923e9i | 0.330852 | − | 0.573052i | ||||
\(820\) | 6.69431e9 | − | 1.15949e10i | 0.423992 | − | 0.734376i | ||||
\(821\) | −5.98292e9 | − | 1.03627e10i | −0.377322 | − | 0.653541i | 0.613350 | − | 0.789811i | \(-0.289822\pi\) |
−0.990672 | + | 0.136271i | \(0.956488\pi\) | |||||||
\(822\) | −1.09585e10 | + | 1.89807e10i | −0.688178 | + | 1.19196i | ||||
\(823\) | 1.57234e10 | + | 2.72338e10i | 0.983213 | + | 1.70297i | 0.649624 | + | 0.760255i | \(0.274926\pi\) |
0.333588 | + | 0.942719i | \(0.391741\pi\) | |||||||
\(824\) | −3.70665e9 | −0.230800 | ||||||||
\(825\) | −4.96868e9 | −0.308072 | ||||||||
\(826\) | −4.31589e9 | − | 7.47534e9i | −0.266465 | − | 0.461531i | ||||
\(827\) | −2.87110e8 | − | 4.97289e8i | −0.0176514 | − | 0.0305731i | 0.857065 | − | 0.515209i | \(-0.172286\pi\) |
−0.874716 | + | 0.484636i | \(0.838952\pi\) | |||||||
\(828\) | 1.69225e10 | 1.03600 | ||||||||
\(829\) | 3.08401e10 | 1.88007 | 0.940036 | − | 0.341075i | \(-0.110791\pi\) | ||||
0.940036 | + | 0.341075i | \(0.110791\pi\) | |||||||
\(830\) | −3.07096e9 | − | 5.31906e9i | −0.186424 | − | 0.322895i | ||||
\(831\) | −1.37408e9 | + | 2.37998e9i | −0.0830633 | + | 0.143870i | ||||
\(832\) | −2.60399e8 | − | 4.51025e8i | −0.0156750 | − | 0.0271499i | ||||
\(833\) | 2.56964e10 | − | 4.45075e10i | 1.54033 | − | 2.66794i | ||||
\(834\) | 1.69373e10 | − | 2.93362e10i | 1.01103 | − | 1.75115i | ||||
\(835\) | 3.11175e10 | 1.84970 | ||||||||
\(836\) | −8.23673e8 | + | 3.32190e9i | −0.0487566 | + | 0.196637i | ||||
\(837\) | 1.06536e10 | 0.627995 | ||||||||
\(838\) | 9.14103e9 | − | 1.58327e10i | 0.536588 | − | 0.929398i | ||||
\(839\) | 5.66018e9 | − | 9.80372e9i | 0.330875 | − | 0.573092i | −0.651809 | − | 0.758383i | \(-0.725990\pi\) |
0.982684 | + | 0.185291i | \(0.0593229\pi\) | |||||||
\(840\) | 1.06240e10 | + | 1.84014e10i | 0.618461 | + | 1.07121i | ||||
\(841\) | −8.91665e9 | + | 1.54441e10i | −0.516911 | + | 0.895316i | ||||
\(842\) | −6.31316e8 | − | 1.09347e9i | −0.0364464 | − | 0.0631270i | ||||
\(843\) | −2.26006e10 | −1.29934 | ||||||||
\(844\) | 4.17770e9 | 0.239187 | ||||||||
\(845\) | 1.00218e10 | + | 1.73582e10i | 0.571406 | + | 0.989705i | ||||
\(846\) | 1.26916e10 | + | 2.19824e10i | 0.720640 | + | 1.24819i | ||||
\(847\) | 2.71733e10 | 1.53656 | ||||||||
\(848\) | −2.82471e9 | −0.159070 | ||||||||
\(849\) | −1.53655e10 | − | 2.66138e10i | −0.861728 | − | 1.49256i | ||||
\(850\) | −3.99298e9 | + | 6.91604e9i | −0.223013 | + | 0.386270i | ||||
\(851\) | 2.03208e9 | + | 3.51966e9i | 0.113028 | + | 0.195771i | ||||
\(852\) | 6.76518e9 | − | 1.17176e10i | 0.374749 | − | 0.649084i | ||||
\(853\) | 3.64179e9 | − | 6.30776e9i | 0.200906 | − | 0.347980i | −0.747915 | − | 0.663795i | \(-0.768945\pi\) |
0.948821 | + | 0.315815i | \(0.102278\pi\) | |||||||
\(854\) | 1.06329e10 | 0.584184 | ||||||||
\(855\) | −2.30383e10 | − | 2.21902e10i | −1.26057 | − | 1.21417i | ||||
\(856\) | 7.06054e9 | 0.384751 | ||||||||
\(857\) | −5.34697e9 | + | 9.26122e9i | −0.290185 | + | 0.502615i | −0.973853 | − | 0.227178i | \(-0.927050\pi\) |
0.683669 | + | 0.729793i | \(0.260383\pi\) | |||||||
\(858\) | −1.03730e9 | + | 1.79665e9i | −0.0560658 | + | 0.0971088i | ||||
\(859\) | 1.73570e10 | + | 3.00632e10i | 0.934326 | + | 1.61830i | 0.775831 | + | 0.630941i | \(0.217331\pi\) |
0.158495 | + | 0.987360i | \(0.449336\pi\) | |||||||
\(860\) | −3.37759e9 | + | 5.85015e9i | −0.181076 | + | 0.313634i | ||||
\(861\) | 3.73600e10 | + | 6.47094e10i | 1.99478 | + | 3.45507i | ||||
\(862\) | −1.80393e10 | −0.959278 | ||||||||
\(863\) | 6.11220e9 | 0.323713 | 0.161856 | − | 0.986814i | \(-0.448252\pi\) | ||||
0.161856 | + | 0.986814i | \(0.448252\pi\) | |||||||
\(864\) | −1.13792e9 | − | 1.97094e9i | −0.0600225 | − | 0.103962i | ||||
\(865\) | −1.18810e10 | − | 2.05786e10i | −0.624163 | − | 1.08108i | ||||
\(866\) | 8.40744e9 | 0.439897 | ||||||||
\(867\) | −2.02435e10 | −1.05492 | ||||||||
\(868\) | −8.18898e9 | − | 1.41837e10i | −0.425021 | − | 0.736159i | ||||
\(869\) | 6.83345e9 | − | 1.18359e10i | 0.353241 | − | 0.611831i | ||||
\(870\) | 1.86373e10 | + | 3.22807e10i | 0.959545 | + | 1.66198i | ||||
\(871\) | −2.42483e9 | + | 4.19993e9i | −0.124342 | + | 0.215367i | ||||
\(872\) | −3.80959e8 | + | 6.59840e8i | −0.0194568 | + | 0.0337001i | ||||
\(873\) | −2.86723e10 | −1.45852 | ||||||||
\(874\) | 1.45124e10 | + | 1.39782e10i | 0.735273 | + | 0.708206i | ||||
\(875\) | 2.27809e10 | 1.14959 | ||||||||
\(876\) | 4.21949e9 | − | 7.30838e9i | 0.212078 | − | 0.367330i | ||||
\(877\) | 4.43397e9 | − | 7.67985e9i | 0.221970 | − | 0.384463i | −0.733436 | − | 0.679758i | \(-0.762085\pi\) |
0.955406 | + | 0.295295i | \(0.0954181\pi\) | |||||||
\(878\) | −7.00364e9 | − | 1.21307e10i | −0.349215 | − | 0.604858i | ||||
\(879\) | 5.77110e9 | − | 9.99584e9i | 0.286614 | − | 0.496430i | ||||
\(880\) | −1.24865e9 | − | 2.16272e9i | −0.0617662 | − | 0.106982i | ||||
\(881\) | 5.64381e9 | 0.278072 | 0.139036 | − | 0.990287i | \(-0.455600\pi\) | ||||
0.139036 | + | 0.990287i | \(0.455600\pi\) | |||||||
\(882\) | −4.92077e10 | −2.41487 | ||||||||
\(883\) | −1.09258e10 | − | 1.89241e10i | −0.534063 | − | 0.925024i | −0.999208 | − | 0.0397899i | \(-0.987331\pi\) |
0.465145 | − | 0.885235i | \(-0.346002\pi\) | |||||||
\(884\) | 1.66721e9 | + | 2.88769e9i | 0.0811721 | + | 0.140594i | ||||
\(885\) | −1.60882e10 | −0.780199 | ||||||||
\(886\) | −1.29181e10 | −0.623994 | ||||||||
\(887\) | −3.74723e9 | − | 6.49039e9i | −0.180292 | − | 0.312276i | 0.761688 | − | 0.647944i | \(-0.224371\pi\) |
−0.941980 | + | 0.335669i | \(0.891038\pi\) | |||||||
\(888\) | 9.01290e8 | − | 1.56108e9i | 0.0431936 | − | 0.0748135i | ||||
\(889\) | −2.51535e10 | − | 4.35671e10i | −1.20072 | − | 2.07971i | ||||
\(890\) | −1.47998e10 | + | 2.56341e10i | −0.703707 | + | 1.21886i | ||||
\(891\) | 1.60606e9 | − | 2.78178e9i | 0.0760660 | − | 0.131750i | ||||
\(892\) | −1.47741e10 | −0.696984 | ||||||||
\(893\) | −7.27367e9 | + | 2.93350e10i | −0.341801 | + | 1.37850i | ||||
\(894\) | −9.31057e9 | −0.435808 | ||||||||
\(895\) | −1.43048e9 | + | 2.47767e9i | −0.0666963 | + | 0.115521i | ||||
\(896\) | −1.74935e9 | + | 3.02996e9i | −0.0812453 | + | 0.140721i | ||||
\(897\) | 6.10693e9 | + | 1.05775e10i | 0.282520 | + | 0.489339i | ||||
\(898\) | −9.11806e9 | + | 1.57929e10i | −0.420180 | + | 0.727773i | ||||
\(899\) | −1.43656e10 | − | 2.48819e10i | −0.659423 | − | 1.14215i | ||||
\(900\) | 7.64641e9 | 0.349630 | ||||||||
\(901\) | 1.80852e10 | 0.823734 | ||||||||
\(902\) | −4.39093e9 | − | 7.60532e9i | −0.199221 | − | 0.345060i | ||||
\(903\) | −1.88498e10 | − | 3.26488e10i | −0.851922 | − | 1.47557i | ||||
\(904\) | −2.25499e9 | −0.101521 | ||||||||
\(905\) | 2.94595e10 | 1.32116 | ||||||||
\(906\) | 4.94011e9 | + | 8.55652e9i | 0.220693 | + | 0.382251i | ||||
\(907\) | 3.07428e9 | − | 5.32481e9i | 0.136810 | − | 0.236962i | −0.789477 | − | 0.613780i | \(-0.789648\pi\) |
0.926287 | + | 0.376818i | \(0.122982\pi\) | |||||||
\(908\) | 2.98039e9 | + | 5.16219e9i | 0.132121 | + | 0.228841i | ||||
\(909\) | 5.17011e9 | − | 8.95489e9i | 0.228311 | − | 0.395446i | ||||
\(910\) | −4.51909e9 | + | 7.82729e9i | −0.198795 | + | 0.344323i | ||||
\(911\) | −2.28020e9 | −0.0999215 | −0.0499608 | − | 0.998751i | \(-0.515910\pi\) | ||||
−0.0499608 | + | 0.998751i | \(0.515910\pi\) | |||||||
\(912\) | 2.15079e9 | − | 8.67422e9i | 0.0938893 | − | 0.378659i | ||||
\(913\) | −4.02861e9 | −0.175189 | ||||||||
\(914\) | −6.48758e9 | + | 1.12368e10i | −0.281042 | + | 0.486779i | ||||
\(915\) | 9.90897e9 | − | 1.71628e10i | 0.427617 | − | 0.740654i | ||||
\(916\) | 5.69162e9 | + | 9.85818e9i | 0.244682 | + | 0.423802i | ||||
\(917\) | −1.41563e10 | + | 2.45194e10i | −0.606256 | + | 1.05007i | ||||
\(918\) | 7.28554e9 | + | 1.26189e10i | 0.310823 | + | 0.538360i | ||||
\(919\) | −4.01517e10 | −1.70647 | −0.853237 | − | 0.521524i | \(-0.825364\pi\) | ||||
−0.853237 | + | 0.521524i | \(0.825364\pi\) | |||||||
\(920\) | −1.47024e10 | −0.622489 | ||||||||
\(921\) | 3.57845e10 | + | 6.19806e10i | 1.50934 | + | 2.61425i | ||||
\(922\) | 1.20793e10 | + | 2.09220e10i | 0.507555 | + | 0.879112i | ||||
\(923\) | 5.75533e9 | 0.240915 | ||||||||
\(924\) | 1.39370e10 | 0.581191 | ||||||||
\(925\) | 9.18191e8 | + | 1.59035e9i | 0.0381449 | + | 0.0660690i | ||||
\(926\) | −5.81561e8 | + | 1.00729e9i | −0.0240689 | + | 0.0416886i | ||||
\(927\) | −1.13614e10 | − | 1.96786e10i | −0.468439 | − | 0.811361i | ||||
\(928\) | −3.06881e9 | + | 5.31533e9i | −0.126053 | + | 0.218329i | ||||
\(929\) | 1.75288e10 | − | 3.03608e10i | 0.717295 | − | 1.24239i | −0.244773 | − | 0.969580i | \(-0.578713\pi\) |
0.962068 | − | 0.272811i | \(-0.0879532\pi\) | |||||||
\(930\) | −3.05258e10 | −1.24445 | ||||||||
\(931\) | −4.21995e10 | − | 4.06460e10i | −1.71389 | − | 1.65080i | ||||
\(932\) | −1.19516e10 | −0.483581 | ||||||||
\(933\) | 6.65329e9 | − | 1.15238e10i | 0.268195 | − | 0.464527i | ||||
\(934\) | 1.70939e10 | − | 2.96076e10i | 0.686480 | − | 1.18902i | ||||
\(935\) | 7.99447e9 | + | 1.38468e10i | 0.319852 | + | 0.554000i | ||||
\(936\) | 1.59632e9 | − | 2.76491e9i | 0.0636290 | − | 0.110209i | ||||
\(937\) | −1.45738e10 | − | 2.52426e10i | −0.578743 | − | 1.00241i | −0.995624 | − | 0.0934511i | \(-0.970210\pi\) |
0.416881 | − | 0.908961i | \(-0.363123\pi\) | |||||||
\(938\) | 3.25798e10 | 1.28896 | ||||||||
\(939\) | −3.87030e10 | −1.52551 | ||||||||
\(940\) | −1.10265e10 | − | 1.90985e10i | −0.433003 | − | 0.749983i | ||||
\(941\) | 3.17285e9 | + | 5.49554e9i | 0.124133 | + | 0.215004i | 0.921394 | − | 0.388631i | \(-0.127052\pi\) |
−0.797261 | + | 0.603635i | \(0.793718\pi\) | |||||||
\(942\) | −2.79349e10 | −1.08885 | ||||||||
\(943\) | −5.17018e10 | −2.00778 | ||||||||
\(944\) | −1.32454e9 | − | 2.29416e9i | −0.0512462 | − | 0.0887611i | ||||
\(945\) | −1.97480e10 | + | 3.42045e10i | −0.761223 | + | 1.31848i | ||||
\(946\) | 2.21543e9 | + | 3.83723e9i | 0.0850821 | + | 0.147367i | ||||
\(947\) | −2.32891e10 | + | 4.03380e10i | −0.891104 | + | 1.54344i | −0.0525499 | + | 0.998618i | \(0.516735\pi\) |
−0.838554 | + | 0.544819i | \(0.816598\pi\) | |||||||
\(948\) | −1.78436e10 | + | 3.09061e10i | −0.680227 | + | 1.17819i | ||||
\(949\) | 3.58964e9 | 0.136339 | ||||||||
\(950\) | 6.55739e9 | + | 6.31600e9i | 0.248141 | + | 0.239006i | ||||
\(951\) | 6.21905e10 | 2.34473 | ||||||||
\(952\) | 1.12002e10 | − | 1.93993e10i | 0.420724 | − | 0.728715i | ||||
\(953\) | −5.04381e9 | + | 8.73614e9i | −0.188770 | + | 0.326960i | −0.944841 | − | 0.327531i | \(-0.893784\pi\) |
0.756070 | + | 0.654491i | \(0.227117\pi\) | |||||||
\(954\) | −8.65814e9 | − | 1.49963e10i | −0.322853 | − | 0.559198i | ||||
\(955\) | −4.54848e9 | + | 7.87820e9i | −0.168988 | + | 0.292695i | ||||
\(956\) | 7.47934e9 | + | 1.29546e10i | 0.276860 | + | 0.479536i | ||||
\(957\) | 2.44491e10 | 0.901720 | ||||||||
\(958\) | −7.60749e9 | −0.279552 | ||||||||
\(959\) | 3.13148e10 | + | 5.42389e10i | 1.14653 | + | 1.98585i | ||||
\(960\) | 3.26049e9 | + | 5.64734e9i | 0.118942 | + | 0.206013i | ||||
\(961\) | −3.98344e9 | −0.144786 | ||||||||
\(962\) | 7.66753e8 | 0.0277679 | ||||||||
\(963\) | 2.16416e10 | + | 3.74843e10i | 0.780902 | + | 1.35256i | ||||
\(964\) | 2.55903e9 | − | 4.43237e9i | 0.0920038 | − | 0.159355i | ||||
\(965\) | −2.23947e9 | − | 3.87887e9i | −0.0802231 | − | 0.138950i | ||||
\(966\) | 4.10260e10 | − | 7.10592e10i | 1.46433 | − | 2.53630i | ||||
\(967\) | 1.90554e9 | − | 3.30049e9i | 0.0677680 | − | 0.117378i | −0.830150 | − | 0.557539i | \(-0.811746\pi\) |
0.897919 | + | 0.440162i | \(0.145079\pi\) | |||||||
\(968\) | 8.33941e9 | 0.295509 | ||||||||
\(969\) | −1.37705e10 | + | 5.55367e10i | −0.486200 | + | 1.96086i | ||||
\(970\) | 2.49107e10 | 0.876365 | ||||||||
\(971\) | −6.56614e9 | + | 1.13729e10i | −0.230167 | + | 0.398661i | −0.957857 | − | 0.287245i | \(-0.907261\pi\) |
0.727690 | + | 0.685906i | \(0.240594\pi\) | |||||||
\(972\) | −9.05439e9 | + | 1.56827e10i | −0.316248 | + | 0.547757i | ||||
\(973\) | −4.83996e10 | − | 8.38306e10i | −1.68441 | − | 2.91748i | ||||
\(974\) | 1.28360e10 | − | 2.22327e10i | 0.445117 | − | 0.770966i | ||||
\(975\) | 2.75940e9 | + | 4.77943e9i | 0.0953452 | + | 0.165143i | ||||
\(976\) | 3.26321e9 | 0.112349 | ||||||||
\(977\) | −3.67732e10 | −1.26154 | −0.630769 | − | 0.775971i | \(-0.717260\pi\) | ||||
−0.630769 | + | 0.775971i | \(0.717260\pi\) | |||||||
\(978\) | −1.01638e9 | − | 1.76041e9i | −0.0347431 | − | 0.0601767i | ||||
\(979\) | 9.70751e9 | + | 1.68139e10i | 0.330650 | + | 0.572703i | ||||
\(980\) | 4.27521e10 | 1.45099 | ||||||||
\(981\) | −4.67078e9 | −0.157960 | ||||||||
\(982\) | 1.08799e10 | + | 1.88446e10i | 0.366637 | + | 0.635034i | ||||
\(983\) | −5.16863e9 | + | 8.95232e9i | −0.173555 | + | 0.300607i | −0.939660 | − | 0.342109i | \(-0.888859\pi\) |
0.766105 | + | 0.642715i | \(0.222192\pi\) | |||||||
\(984\) | 1.14657e10 | + | 1.98592e10i | 0.383634 | + | 0.664474i | ||||
\(985\) | −3.92288e8 | + | 6.79462e8i | −0.0130791 | + | 0.0226537i | ||||
\(986\) | 1.96480e10 | − | 3.40314e10i | 0.652755 | − | 1.13060i | ||||
\(987\) | 1.23075e11 | 4.07436 | ||||||||
\(988\) | 3.65281e9 | − | 1.05255e9i | 0.120497 | − | 0.0347211i | ||||
\(989\) | 2.60859e10 | 0.857471 | ||||||||
\(990\) | 7.65457e9 | − | 1.32581e10i | 0.250725 | − | 0.434268i | ||||
\(991\) | −2.32044e10 | + | 4.01911e10i | −0.757376 | + | 1.31181i | 0.186808 | + | 0.982396i | \(0.440186\pi\) |
−0.944184 | + | 0.329418i | \(0.893148\pi\) | |||||||
\(992\) | −2.51318e9 | − | 4.35295e9i | −0.0817396 | − | 0.141577i | ||||
\(993\) | 2.00290e10 | − | 3.46913e10i | 0.649139 | − | 1.12434i | ||||
\(994\) | −1.93320e10 | − | 3.34840e10i | −0.624345 | − | 1.08140i | ||||
\(995\) | −4.73211e10 | −1.52291 | ||||||||
\(996\) | 1.05196e10 | 0.337358 | ||||||||
\(997\) | −1.55674e10 | − | 2.69636e10i | −0.497489 | − | 0.861677i | 0.502506 | − | 0.864574i | \(-0.332411\pi\) |
−0.999996 | + | 0.00289645i | \(0.999078\pi\) | |||||||
\(998\) | −1.25521e9 | − | 2.17408e9i | −0.0399723 | − | 0.0692340i | ||||
\(999\) | 3.35064e9 | 0.106328 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.8.c.b.11.6 | yes | 14 | |
19.7 | even | 3 | inner | 38.8.c.b.7.6 | ✓ | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.8.c.b.7.6 | ✓ | 14 | 19.7 | even | 3 | inner | |
38.8.c.b.11.6 | yes | 14 | 1.1 | even | 1 | trivial |