Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,8,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), 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: | \(10.3087058410\) |
Analytic rank: | \(0\) |
Dimension: | \(104\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.8.f.a.17.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.82493 | + | 11.7719i | −0.338079 | + | 1.04050i | 0.627106 | + | 0.778934i | \(0.284239\pi\) |
−0.965185 | + | 0.261567i | \(0.915761\pi\) | |||||||
\(3\) | 1.38201 | − | 46.7449i | 0.0295520 | − | 0.999563i | ||||
\(4\) | −20.3938 | − | 14.8170i | −0.159327 | − | 0.115758i | ||||
\(5\) | −22.0489 | + | 7.16411i | −0.0788844 | + | 0.0256311i | −0.348193 | − | 0.937423i | \(-0.613205\pi\) |
0.269309 | + | 0.963054i | \(0.413205\pi\) | |||||||
\(6\) | 544.992 | + | 195.065i | 1.03006 | + | 0.368680i | ||||
\(7\) | 49.3778 | − | 67.9627i | 0.0544112 | − | 0.0748907i | −0.780944 | − | 0.624601i | \(-0.785262\pi\) |
0.835356 | + | 0.549710i | \(0.185262\pi\) | |||||||
\(8\) | −1029.34 | + | 747.857i | −0.710792 | + | 0.516420i | ||||
\(9\) | −2183.18 | − | 129.204i | −0.998253 | − | 0.0590781i | ||||
\(10\) | − | 286.960i | − | 0.0907446i | ||||||
\(11\) | −4347.42 | + | 766.243i | −0.984820 | + | 0.173577i | ||||
\(12\) | −720.803 | + | 932.831i | −0.120416 | + | 0.155836i | ||||
\(13\) | −2166.72 | − | 704.010i | −0.273527 | − | 0.0888744i | 0.169042 | − | 0.985609i | \(-0.445933\pi\) |
−0.442569 | + | 0.896734i | \(0.645933\pi\) | |||||||
\(14\) | 611.185 | + | 841.224i | 0.0595285 | + | 0.0819339i | ||||
\(15\) | 304.414 | + | 1040.57i | 0.0232887 | + | 0.0796074i | ||||
\(16\) | −5863.66 | − | 18046.5i | −0.357889 | − | 1.10147i | ||||
\(17\) | −2457.83 | − | 7564.41i | −0.121333 | − | 0.373425i | 0.871882 | − | 0.489716i | \(-0.162900\pi\) |
−0.993215 | + | 0.116291i | \(0.962900\pi\) | |||||||
\(18\) | 9871.49 | − | 25206.0i | 0.398959 | − | 1.01871i | ||||
\(19\) | −26304.9 | − | 36205.6i | −0.879830 | − | 1.21098i | −0.976468 | − | 0.215663i | \(-0.930809\pi\) |
0.0966373 | − | 0.995320i | \(-0.469191\pi\) | |||||||
\(20\) | 555.811 | + | 180.594i | 0.0155354 | + | 0.00504776i | ||||
\(21\) | −3108.67 | − | 2402.09i | −0.0732500 | − | 0.0566006i | ||||
\(22\) | 7608.42 | − | 54108.3i | 0.152340 | − | 1.08339i | ||||
\(23\) | 4847.59i | 0.0830765i | 0.999137 | + | 0.0415382i | \(0.0132258\pi\) | ||||
−0.999137 | + | 0.0415382i | \(0.986774\pi\) | |||||||
\(24\) | 33536.0 | + | 49149.8i | 0.495189 | + | 0.725742i | ||||
\(25\) | −62769.6 | + | 45604.8i | −0.803451 | + | 0.583741i | ||||
\(26\) | 16575.1 | − | 22813.6i | 0.184948 | − | 0.254559i | ||||
\(27\) | −9056.80 | + | 101874.i | −0.0885527 | + | 0.996071i | ||||
\(28\) | −2014.00 | + | 654.390i | −0.0173383 | + | 0.00563357i | ||||
\(29\) | −54996.6 | − | 39957.4i | −0.418739 | − | 0.304231i | 0.358392 | − | 0.933571i | \(-0.383325\pi\) |
−0.777130 | + | 0.629340i | \(0.783325\pi\) | |||||||
\(30\) | −13413.9 | − | 396.581i | −0.0907050 | − | 0.00268168i | ||||
\(31\) | −66917.5 | + | 205951.i | −0.403435 | + | 1.24165i | 0.518759 | + | 0.854920i | \(0.326394\pi\) |
−0.922195 | + | 0.386726i | \(0.873606\pi\) | |||||||
\(32\) | 72011.6 | 0.388488 | ||||||||
\(33\) | 29809.8 | + | 204279.i | 0.144398 | + | 0.989520i | ||||
\(34\) | 98448.6 | 0.429570 | ||||||||
\(35\) | −601.832 | + | 1852.25i | −0.00237267 | + | 0.00730233i | ||||
\(36\) | 42609.0 | + | 34983.1i | 0.152210 | + | 0.124968i | ||||
\(37\) | −27808.6 | − | 20204.1i | −0.0902553 | − | 0.0655743i | 0.541742 | − | 0.840545i | \(-0.317765\pi\) |
−0.631998 | + | 0.774970i | \(0.717765\pi\) | |||||||
\(38\) | 526824. | − | 171175.i | 1.55748 | − | 0.506056i | ||||
\(39\) | −35903.3 | + | 100310.i | −0.0969189 | + | 0.270781i | ||||
\(40\) | 17338.0 | − | 23863.7i | 0.0428340 | − | 0.0589559i | ||||
\(41\) | 429481. | − | 312036.i | 0.973196 | − | 0.707068i | 0.0170180 | − | 0.999855i | \(-0.494583\pi\) |
0.956178 | + | 0.292787i | \(0.0945827\pi\) | |||||||
\(42\) | 40167.6 | − | 27407.2i | 0.0836573 | − | 0.0570811i | ||||
\(43\) | − | 156862.i | − | 0.300870i | −0.988620 | − | 0.150435i | \(-0.951933\pi\) | ||
0.988620 | − | 0.150435i | \(-0.0480674\pi\) | |||||||
\(44\) | 100014. | + | 48789.0i | 0.177001 | + | 0.0863450i | ||||
\(45\) | 49062.3 | − | 12791.7i | 0.0802609 | − | 0.0209260i | ||||
\(46\) | −57065.4 | − | 18541.7i | −0.0864411 | − | 0.0280864i | ||||
\(47\) | −60816.6 | − | 83706.9i | −0.0854436 | − | 0.117603i | 0.764155 | − | 0.645032i | \(-0.223156\pi\) |
−0.849599 | + | 0.527429i | \(0.823156\pi\) | |||||||
\(48\) | −851685. | + | 249156.i | −1.11157 | + | 0.325182i | ||||
\(49\) | 252308. | + | 776524.i | 0.306369 | + | 0.942907i | ||||
\(50\) | −296767. | − | 913354.i | −0.335753 | − | 1.03334i | ||||
\(51\) | −356995. | + | 104437.i | −0.376848 | + | 0.110245i | ||||
\(52\) | 33756.4 | + | 46461.7i | 0.0332923 | + | 0.0458230i | ||||
\(53\) | 757346. | + | 246077.i | 0.698761 | + | 0.227041i | 0.636791 | − | 0.771037i | \(-0.280262\pi\) |
0.0619705 | + | 0.998078i | \(0.480262\pi\) | |||||||
\(54\) | −1.16461e6 | − | 496277.i | −1.00648 | − | 0.428890i | ||||
\(55\) | 90366.2 | − | 48040.2i | 0.0732380 | − | 0.0389345i | ||||
\(56\) | 106884.i | 0.0813307i | ||||||||
\(57\) | −1.72878e6 | + | 1.17958e6i | −1.23645 | + | 0.843659i | ||||
\(58\) | 680733. | − | 494582.i | 0.458120 | − | 0.332843i | ||||
\(59\) | −522927. | + | 719748.i | −0.331482 | + | 0.456245i | −0.941929 | − | 0.335811i | \(-0.890990\pi\) |
0.610448 | + | 0.792057i | \(0.290990\pi\) | |||||||
\(60\) | 9209.99 | − | 25731.8i | 0.00550465 | − | 0.0153794i | ||||
\(61\) | 1.93678e6 | − | 629298.i | 1.09251 | − | 0.354978i | 0.293295 | − | 0.956022i | \(-0.405248\pi\) |
0.799216 | + | 0.601044i | \(0.205248\pi\) | |||||||
\(62\) | −2.16848e6 | − | 1.57550e6i | −1.15554 | − | 0.839549i | ||||
\(63\) | −116582. | + | 141995.i | −0.0587406 | + | 0.0715453i | ||||
\(64\) | 475109. | − | 1.46223e6i | 0.226550 | − | 0.697248i | ||||
\(65\) | 52817.3 | 0.0238550 | ||||||||
\(66\) | −2.51877e6 | − | 430433.i | −1.07841 | − | 0.184290i | ||||
\(67\) | −1.99988e6 | −0.812349 | −0.406174 | − | 0.913796i | \(-0.633137\pi\) | ||||
−0.406174 | + | 0.913796i | \(0.633137\pi\) | |||||||
\(68\) | −61957.3 | + | 190685.i | −0.0238952 | + | 0.0735419i | ||||
\(69\) | 226600. | + | 6699.41i | 0.0830402 | + | 0.00245507i | ||||
\(70\) | −19502.6 | − | 14169.4i | −0.00679592 | − | 0.00493753i | ||||
\(71\) | 5.54290e6 | − | 1.80100e6i | 1.83795 | − | 0.597185i | 0.839388 | − | 0.543533i | \(-0.182914\pi\) |
0.998560 | − | 0.0536526i | \(-0.0170864\pi\) | |||||||
\(72\) | 2.34385e6 | − | 1.49971e6i | 0.740059 | − | 0.473526i | ||||
\(73\) | −699427. | + | 962679.i | −0.210432 | + | 0.289635i | −0.901166 | − | 0.433474i | \(-0.857288\pi\) |
0.690734 | + | 0.723109i | \(0.257288\pi\) | |||||||
\(74\) | 344207. | − | 250081.i | 0.0987436 | − | 0.0717414i | ||||
\(75\) | 2.04505e6 | + | 2.99719e6i | 0.559743 | + | 0.820351i | ||||
\(76\) | 1.12813e6i | 0.294789i | ||||||||
\(77\) | −162590. | + | 333298.i | −0.0405860 | + | 0.0831984i | ||||
\(78\) | −1.04352e6 | − | 806330.i | −0.248982 | − | 0.192390i | ||||
\(79\) | −6.64555e6 | − | 2.15927e6i | −1.51648 | − | 0.492733i | −0.571705 | − | 0.820459i | \(-0.693718\pi\) |
−0.944773 | + | 0.327726i | \(0.893718\pi\) | |||||||
\(80\) | 258574. | + | 355897.i | 0.0564638 | + | 0.0777157i | ||||
\(81\) | 4.74958e6 | + | 564151.i | 0.993020 | + | 0.117950i | ||||
\(82\) | 2.03053e6 | + | 6.24933e6i | 0.406687 | + | 1.25166i | ||||
\(83\) | −888068. | − | 2.73319e6i | −0.170480 | − | 0.524683i | 0.828918 | − | 0.559369i | \(-0.188957\pi\) |
−0.999398 | + | 0.0346867i | \(0.988957\pi\) | |||||||
\(84\) | 27806.0 | + | 95048.9i | 0.00511872 | + | 0.0174972i | ||||
\(85\) | 108385. | + | 149179.i | 0.0191426 | + | 0.0263475i | ||||
\(86\) | 1.84657e6 | + | 599987.i | 0.313056 | + | 0.101718i | ||||
\(87\) | −1.94381e6 | + | 2.51559e6i | −0.316473 | + | 0.409565i | ||||
\(88\) | 3.90192e6 | − | 4.03997e6i | 0.610363 | − | 0.631958i | ||||
\(89\) | 6.78358e6i | 1.01998i | 0.860179 | + | 0.509992i | \(0.170352\pi\) | ||||
−0.860179 | + | 0.509992i | \(0.829648\pi\) | |||||||
\(90\) | −37076.3 | + | 626485.i | −0.00536102 | + | 0.0905861i | ||||
\(91\) | −154834. | + | 112494.i | −0.0215388 | + | 0.0156489i | ||||
\(92\) | 71826.6 | − | 98860.8i | 0.00961674 | − | 0.0132363i | ||||
\(93\) | 9.53468e6 | + | 3.41268e6i | 1.22918 | + | 0.439952i | ||||
\(94\) | 1.21801e6 | − | 395755.i | 0.151253 | − | 0.0491450i | ||||
\(95\) | 839374. | + | 609841.i | 0.100444 | + | 0.0729767i | ||||
\(96\) | 99520.7 | − | 3.36618e6i | 0.0114806 | − | 0.388318i | ||||
\(97\) | −2.15812e6 | + | 6.64202e6i | −0.240090 | + | 0.738922i | 0.756315 | + | 0.654208i | \(0.226998\pi\) |
−0.996405 | + | 0.0847146i | \(0.973002\pi\) | |||||||
\(98\) | −1.01062e7 | −1.08467 | ||||||||
\(99\) | 9.59020e6 | − | 1.11114e6i | 0.993355 | − | 0.115092i | ||||
\(100\) | 1.95584e6 | 0.195584 | ||||||||
\(101\) | −2.69520e6 | + | 8.29496e6i | −0.260295 | + | 0.801105i | 0.732445 | + | 0.680826i | \(0.238379\pi\) |
−0.992740 | + | 0.120279i | \(0.961621\pi\) | |||||||
\(102\) | 136057. | − | 4.60198e6i | 0.0126946 | − | 0.429382i | ||||
\(103\) | −7.75051e6 | − | 5.63107e6i | −0.698876 | − | 0.507763i | 0.180690 | − | 0.983540i | \(-0.442167\pi\) |
−0.879566 | + | 0.475777i | \(0.842167\pi\) | |||||||
\(104\) | 2.75678e6 | − | 895732.i | 0.240318 | − | 0.0780839i | ||||
\(105\) | 85751.5 | + | 30692.4i | 0.00722902 | + | 0.00258743i | ||||
\(106\) | −5.79359e6 | + | 7.97419e6i | −0.472473 | + | 0.650303i | ||||
\(107\) | −1.03101e7 | + | 7.49070e6i | −0.813613 | + | 0.591124i | −0.914876 | − | 0.403735i | \(-0.867712\pi\) |
0.101263 | + | 0.994860i | \(0.467712\pi\) | |||||||
\(108\) | 1.69417e6 | − | 1.94341e6i | 0.129412 | − | 0.148450i | ||||
\(109\) | − | 1.32232e7i | − | 0.978009i | −0.872281 | − | 0.489004i | \(-0.837360\pi\) | ||
0.872281 | − | 0.489004i | \(-0.162640\pi\) | |||||||
\(110\) | 219881. | + | 1.24753e6i | 0.0157512 | + | 0.0893671i | ||||
\(111\) | −982872. | + | 1.27199e6i | −0.0682129 | + | 0.0882781i | ||||
\(112\) | −1.51602e6 | − | 492586.i | −0.101963 | − | 0.0331298i | ||||
\(113\) | −1.20510e7 | − | 1.65868e7i | −0.785687 | − | 1.08141i | −0.994632 | − | 0.103478i | \(-0.967003\pi\) |
0.208945 | − | 0.977927i | \(-0.432997\pi\) | |||||||
\(114\) | −7.27351e6 | − | 2.48629e7i | −0.459808 | − | 1.57176i | ||||
\(115\) | −34728.6 | − | 106884.i | −0.00212934 | − | 0.00655344i | ||||
\(116\) | 529544. | + | 1.62977e6i | 0.0314991 | + | 0.0969444i | ||||
\(117\) | 4.63938e6 | + | 1.81693e6i | 0.267799 | + | 0.104879i | ||||
\(118\) | −6.47265e6 | − | 8.90884e6i | −0.362656 | − | 0.499154i | ||||
\(119\) | −635460. | − | 206473.i | −0.0345680 | − | 0.0112318i | ||||
\(120\) | −1.09154e6 | − | 843442.i | −0.0576643 | − | 0.0445575i | ||||
\(121\) | 1.83129e7 | − | 6.66235e6i | 0.939742 | − | 0.341884i | ||||
\(122\) | 2.52066e7i | 1.25677i | ||||||||
\(123\) | −1.39926e7 | − | 2.05073e7i | −0.677999 | − | 0.993666i | ||||
\(124\) | 4.41627e6 | − | 3.20861e6i | 0.208008 | − | 0.151127i | ||||
\(125\) | 2.12189e6 | − | 2.92053e6i | 0.0971711 | − | 0.133745i | ||||
\(126\) | −1.22564e6 | − | 1.91551e6i | −0.0545840 | − | 0.0853076i | ||||
\(127\) | 2.76182e7 | − | 8.97371e6i | 1.19642 | − | 0.388740i | 0.357976 | − | 0.933731i | \(-0.383467\pi\) |
0.838442 | + | 0.544991i | \(0.183467\pi\) | |||||||
\(128\) | 2.28532e7 | + | 1.66038e7i | 0.963188 | + | 0.699797i | ||||
\(129\) | −7.33252e6 | − | 216785.i | −0.300739 | − | 0.00889131i | ||||
\(130\) | −202022. | + | 621761.i | −0.00806488 | + | 0.0248211i | ||||
\(131\) | −4.64774e7 | −1.80631 | −0.903155 | − | 0.429315i | \(-0.858755\pi\) | ||||
−0.903155 | + | 0.429315i | \(0.858755\pi\) | |||||||
\(132\) | 2.41886e6 | − | 4.60772e6i | 0.0915381 | − | 0.174372i | ||||
\(133\) | −3.75951e6 | −0.138564 | ||||||||
\(134\) | 7.64940e6 | − | 2.35424e7i | 0.274638 | − | 0.845249i | ||||
\(135\) | −530145. | − | 2.31109e6i | −0.0185450 | − | 0.0808442i | ||||
\(136\) | 8.18702e6 | + | 5.94822e6i | 0.279087 | + | 0.202769i | ||||
\(137\) | −1.63682e7 | + | 5.31836e6i | −0.543851 | + | 0.176708i | −0.568042 | − | 0.822999i | \(-0.692299\pi\) |
0.0241911 | + | 0.999707i | \(0.492299\pi\) | |||||||
\(138\) | −945594. | + | 2.64189e6i | −0.0306287 | + | 0.0855733i | ||||
\(139\) | −8.98096e6 | + | 1.23612e7i | −0.283642 | + | 0.390400i | −0.926936 | − | 0.375219i | \(-0.877567\pi\) |
0.643294 | + | 0.765619i | \(0.277567\pi\) | |||||||
\(140\) | 39718.4 | − | 28857.1i | 0.00122333 | − | 0.000888801i | ||||
\(141\) | −3.99692e6 | + | 2.72718e6i | −0.120077 | + | 0.0819309i | ||||
\(142\) | 7.21393e7i | 2.11428i | ||||||||
\(143\) | 9.95907e6 | + | 1.40039e6i | 0.284802 | + | 0.0400473i | ||||
\(144\) | 1.04697e7 | + | 4.01563e7i | 0.292191 | + | 1.12069i | ||||
\(145\) | 1.49887e6 | + | 487013.i | 0.0408297 | + | 0.0132664i | ||||
\(146\) | −8.65732e6 | − | 1.19158e7i | −0.230223 | − | 0.316874i | ||||
\(147\) | 3.66473e7 | − | 1.07210e7i | 0.951549 | − | 0.278370i | ||||
\(148\) | 267759. | + | 824078.i | 0.00678936 | + | 0.0208955i | ||||
\(149\) | 1.06258e7 | + | 3.27028e7i | 0.263153 | + | 0.809903i | 0.992113 | + | 0.125346i | \(0.0400042\pi\) |
−0.728960 | + | 0.684557i | \(0.759996\pi\) | |||||||
\(150\) | −4.31048e7 | + | 1.26101e7i | −1.04281 | + | 0.305069i | ||||
\(151\) | 9.18769e6 | + | 1.26458e7i | 0.217163 | + | 0.298900i | 0.903675 | − | 0.428219i | \(-0.140859\pi\) |
−0.686511 | + | 0.727119i | \(0.740859\pi\) | |||||||
\(152\) | 5.41532e7 | + | 1.75954e7i | 1.25075 | + | 0.406394i | ||||
\(153\) | 4.38853e6 | + | 1.68320e7i | 0.0990601 | + | 0.379941i | ||||
\(154\) | −3.30166e6 | − | 3.18884e6i | −0.0728467 | − | 0.0703574i | ||||
\(155\) | − | 5.02039e6i | − | 0.108287i | ||||||
\(156\) | 2.21850e6 | − | 1.51373e6i | 0.0467868 | − | 0.0319236i | ||||
\(157\) | −4.59450e7 | + | 3.33810e7i | −0.947523 | + | 0.688415i | −0.950220 | − | 0.311581i | \(-0.899142\pi\) |
0.00269702 | + | 0.999996i | \(0.499142\pi\) | |||||||
\(158\) | 5.08375e7 | − | 6.99718e7i | 1.02538 | − | 1.41131i | ||||
\(159\) | 1.25495e7 | − | 3.50620e7i | 0.247592 | − | 0.691746i | ||||
\(160\) | −1.58777e6 | + | 515899.i | −0.0306456 | + | 0.00995737i | ||||
\(161\) | 329455. | + | 239363.i | 0.00622165 | + | 0.00452029i | ||||
\(162\) | −2.48079e7 | + | 5.37539e7i | −0.458446 | + | 0.993361i | ||||
\(163\) | 3.07514e7 | − | 9.46429e7i | 0.556170 | − | 1.71172i | −0.136663 | − | 0.990618i | \(-0.543638\pi\) |
0.692833 | − | 0.721098i | \(-0.256362\pi\) | |||||||
\(164\) | −1.33822e7 | −0.236905 | ||||||||
\(165\) | −2.12075e6 | − | 4.29055e6i | −0.0367532 | − | 0.0743566i | ||||
\(166\) | 3.55717e7 | 0.603568 | ||||||||
\(167\) | 2.40894e7 | − | 7.41395e7i | 0.400238 | − | 1.23180i | −0.524569 | − | 0.851368i | \(-0.675774\pi\) |
0.924807 | − | 0.380437i | \(-0.124226\pi\) | |||||||
\(168\) | 4.99629e6 | + | 147715.i | 0.0812952 | + | 0.00240348i | ||||
\(169\) | −4.65656e7 | − | 3.38319e7i | −0.742098 | − | 0.539166i | ||||
\(170\) | −2.17068e6 | + | 705297.i | −0.0338863 | + | 0.0110103i | ||||
\(171\) | 5.27504e7 | + | 8.24420e7i | 0.806751 | + | 1.26085i | ||||
\(172\) | −2.32423e6 | + | 3.19902e6i | −0.0348280 | + | 0.0479367i | ||||
\(173\) | 4.49966e7 | − | 3.26920e7i | 0.660722 | − | 0.480042i | −0.206185 | − | 0.978513i | \(-0.566105\pi\) |
0.866907 | + | 0.498471i | \(0.166105\pi\) | |||||||
\(174\) | −2.21784e7 | − | 3.25044e7i | −0.319160 | − | 0.467756i | ||||
\(175\) | 6.51786e6i | 0.0919331i | ||||||||
\(176\) | 3.93198e7 | + | 7.39626e7i | 0.543646 | + | 1.02263i | ||||
\(177\) | 3.29219e7 | + | 2.54389e7i | 0.446250 | + | 0.344820i | ||||
\(178\) | −7.98557e7 | − | 2.59467e7i | −1.06129 | − | 0.344835i | ||||
\(179\) | −3.42525e7 | − | 4.71445e7i | −0.446381 | − | 0.614391i | 0.525234 | − | 0.850958i | \(-0.323978\pi\) |
−0.971615 | + | 0.236567i | \(0.923978\pi\) | |||||||
\(180\) | −1.19010e6 | − | 466082.i | −0.0152100 | − | 0.00595674i | ||||
\(181\) | −2.02239e7 | − | 6.22427e7i | −0.253507 | − | 0.780214i | −0.994120 | − | 0.108282i | \(-0.965465\pi\) |
0.740613 | − | 0.671932i | \(-0.234535\pi\) | |||||||
\(182\) | −732036. | − | 2.25298e6i | −0.00900083 | − | 0.0277017i | ||||
\(183\) | −2.67399e7 | − | 9.14044e7i | −0.322538 | − | 1.10252i | ||||
\(184\) | −3.62530e6 | − | 4.98980e6i | −0.0429024 | − | 0.0590501i | ||||
\(185\) | 757892. | + | 246254.i | 0.00880048 | + | 0.00285945i | ||||
\(186\) | −7.66433e7 | + | 9.91883e7i | −0.873331 | + | 1.13023i | ||||
\(187\) | 1.64814e7 | + | 3.10024e7i | 0.184309 | + | 0.346696i | ||||
\(188\) | 2.60822e6i | 0.0286281i | ||||||||
\(189\) | 6.47643e6 | + | 5.64584e6i | 0.0697782 | + | 0.0608293i | ||||
\(190\) | −1.03895e7 | + | 7.54844e6i | −0.109890 | + | 0.0798399i | ||||
\(191\) | −5.86275e7 | + | 8.06939e7i | −0.608814 | + | 0.837961i | −0.996479 | − | 0.0838393i | \(-0.973282\pi\) |
0.387665 | + | 0.921800i | \(0.373282\pi\) | |||||||
\(192\) | −6.76955e7 | − | 2.42298e7i | −0.690248 | − | 0.247056i | ||||
\(193\) | −1.06641e8 | + | 3.46496e7i | −1.06776 | + | 0.346935i | −0.789613 | − | 0.613605i | \(-0.789719\pi\) |
−0.278143 | + | 0.960540i | \(0.589719\pi\) | |||||||
\(194\) | −6.99346e7 | − | 5.08105e7i | −0.687680 | − | 0.499628i | ||||
\(195\) | 72994.0 | − | 2.46894e6i | 0.000704962 | − | 0.0238446i | ||||
\(196\) | 6.36022e6 | − | 1.95747e7i | 0.0603359 | − | 0.185695i | ||||
\(197\) | −1.63981e8 | −1.52814 | −0.764070 | − | 0.645134i | \(-0.776802\pi\) | ||||
−0.764070 | + | 0.645134i | \(0.776802\pi\) | |||||||
\(198\) | −2.36015e7 | + | 1.17145e8i | −0.216079 | + | 1.07250i | ||||
\(199\) | 1.99765e8 | 1.79694 | 0.898469 | − | 0.439037i | \(-0.144680\pi\) | ||||
0.898469 | + | 0.439037i | \(0.144680\pi\) | |||||||
\(200\) | 3.05052e7 | − | 9.38853e7i | 0.269630 | − | 0.829837i | ||||
\(201\) | −2.76386e6 | + | 9.34844e7i | −0.0240065 | + | 0.811994i | ||||
\(202\) | −8.73386e7 | − | 6.34552e7i | −0.745550 | − | 0.541674i | ||||
\(203\) | −5.43122e6 | + | 1.76471e6i | −0.0455682 | + | 0.0148060i | ||||
\(204\) | 8.82793e6 | + | 3.15972e6i | 0.0728036 | + | 0.0260581i | ||||
\(205\) | −7.23410e6 | + | 9.95689e6i | −0.0586470 | + | 0.0807207i | ||||
\(206\) | 9.59337e7 | − | 6.96999e7i | 0.764603 | − | 0.555516i | ||||
\(207\) | 626327. | − | 1.05832e7i | 0.00490800 | − | 0.0829314i | ||||
\(208\) | 4.32297e7i | 0.333089i | ||||||||
\(209\) | 1.42101e8 | + | 1.37245e8i | 1.07667 | + | 1.03988i | ||||
\(210\) | −689302. | + | 892064.i | −0.00513620 | + | 0.00664704i | ||||
\(211\) | 1.84966e8 | + | 6.00991e7i | 1.35551 | + | 0.440432i | 0.894542 | − | 0.446984i | \(-0.147502\pi\) |
0.460969 | + | 0.887416i | \(0.347502\pi\) | |||||||
\(212\) | −1.17991e7 | − | 1.62400e7i | −0.0850496 | − | 0.117061i | ||||
\(213\) | −7.65272e7 | − | 2.61592e8i | −0.542610 | − | 1.85479i | ||||
\(214\) | −4.87446e7 | − | 1.50021e8i | −0.340000 | − | 1.04641i | ||||
\(215\) | 1.12378e6 | + | 3.45864e6i | 0.00771163 | + | 0.0237340i | ||||
\(216\) | −6.68647e7 | − | 1.11636e8i | −0.451449 | − | 0.753730i | ||||
\(217\) | 1.06927e7 | + | 1.47173e7i | 0.0710363 | + | 0.0977730i | ||||
\(218\) | 1.55662e8 | + | 5.05777e7i | 1.01762 | + | 0.330644i | ||||
\(219\) | 4.40337e7 | + | 3.40251e7i | 0.283290 | + | 0.218900i | ||||
\(220\) | −2.55472e6 | − | 359231.i | −0.0161757 | − | 0.00227455i | ||||
\(221\) | 1.81203e7i | 0.112925i | ||||||||
\(222\) | −1.12143e7 | − | 1.64356e7i | −0.0687920 | − | 0.100821i | ||||
\(223\) | −1.20937e8 | + | 8.78660e7i | −0.730286 | + | 0.530584i | −0.889654 | − | 0.456635i | \(-0.849054\pi\) |
0.159368 | + | 0.987219i | \(0.449054\pi\) | |||||||
\(224\) | 3.55577e6 | − | 4.89410e6i | 0.0211381 | − | 0.0290941i | ||||
\(225\) | 1.42930e8 | − | 9.14534e7i | 0.836534 | − | 0.535255i | ||||
\(226\) | 2.41353e8 | − | 7.84203e7i | 1.39083 | − | 0.451907i | ||||
\(227\) | −7.62175e7 | − | 5.53752e7i | −0.432478 | − | 0.314214i | 0.350161 | − | 0.936690i | \(-0.386127\pi\) |
−0.782639 | + | 0.622476i | \(0.786127\pi\) | |||||||
\(228\) | 5.27344e7 | + | 1.55909e6i | 0.294660 | + | 0.00871160i | ||||
\(229\) | −6.60028e7 | + | 2.03136e8i | −0.363193 | + | 1.11779i | 0.587911 | + | 0.808926i | \(0.299950\pi\) |
−0.951105 | + | 0.308869i | \(0.900050\pi\) | |||||||
\(230\) | 1.39106e6 | 0.00753874 | ||||||||
\(231\) | 1.53553e7 | + | 8.06088e6i | 0.0819626 | + | 0.0430270i | ||||
\(232\) | 8.64924e7 | 0.454747 | ||||||||
\(233\) | 2.63312e7 | − | 8.10392e7i | 0.136372 | − | 0.419710i | −0.859429 | − | 0.511255i | \(-0.829181\pi\) |
0.995801 | + | 0.0915453i | \(0.0291806\pi\) | |||||||
\(234\) | −3.91340e7 | + | 4.76647e7i | −0.199664 | + | 0.243188i | ||||
\(235\) | 1.94062e6 | + | 1.40994e6i | 0.00975447 | + | 0.00708703i | ||||
\(236\) | 2.13290e7 | − | 6.93021e6i | 0.105628 | − | 0.0343205i | ||||
\(237\) | −1.10119e8 | + | 3.07662e8i | −0.537333 | + | 1.50125i | ||||
\(238\) | 4.86118e6 | − | 6.69084e6i | 0.0233734 | − | 0.0321707i | ||||
\(239\) | −1.74301e7 | + | 1.26637e7i | −0.0825861 | + | 0.0600023i | −0.628312 | − | 0.777961i | \(-0.716254\pi\) |
0.545726 | + | 0.837964i | \(0.316254\pi\) | |||||||
\(240\) | 1.69937e7 | − | 1.15952e7i | 0.0793504 | − | 0.0541425i | ||||
\(241\) | 4.01333e8i | 1.84691i | 0.383707 | + | 0.923455i | \(0.374647\pi\) | ||||
−0.383707 | + | 0.923455i | \(0.625353\pi\) | |||||||
\(242\) | 8.38311e6 | + | 2.41061e8i | 0.0380234 | + | 1.09339i | ||||
\(243\) | 3.29352e7 | − | 2.21239e8i | 0.147244 | − | 0.989100i | ||||
\(244\) | −4.88227e7 | − | 1.58634e7i | −0.215158 | − | 0.0699090i | ||||
\(245\) | −1.11262e7 | − | 1.53139e7i | −0.0483355 | − | 0.0665281i | ||||
\(246\) | 2.94931e8 | − | 8.62804e7i | 1.26313 | − | 0.369521i | ||||
\(247\) | 3.15062e7 | + | 9.69662e7i | 0.133032 | + | 0.409431i | ||||
\(248\) | −8.51411e7 | − | 2.62037e8i | −0.354453 | − | 1.09089i | ||||
\(249\) | −1.28990e8 | + | 3.77354e7i | −0.529492 | + | 0.154900i | ||||
\(250\) | 2.62641e7 | + | 3.61495e7i | 0.106310 | + | 0.146323i | ||||
\(251\) | −1.57070e6 | − | 510352.i | −0.00626954 | − | 0.00203710i | 0.305881 | − | 0.952070i | \(-0.401049\pi\) |
−0.312150 | + | 0.950033i | \(0.601049\pi\) | |||||||
\(252\) | 4.48148e6 | − | 1.16843e6i | 0.0176409 | − | 0.00459941i | ||||
\(253\) | −3.71443e6 | − | 2.10745e7i | −0.0144202 | − | 0.0818154i | ||||
\(254\) | 3.59444e8i | 1.37630i | ||||||||
\(255\) | 7.12313e6 | − | 4.86026e6i | 0.0269017 | − | 0.0183556i | ||||
\(256\) | −1.23657e8 | + | 8.98422e7i | −0.460659 | + | 0.334688i | ||||
\(257\) | −2.38482e8 | + | 3.28243e8i | −0.876375 | + | 1.20623i | 0.101037 | + | 0.994883i | \(0.467784\pi\) |
−0.977412 | + | 0.211344i | \(0.932216\pi\) | |||||||
\(258\) | 3.05983e7 | − | 8.54887e7i | 0.110925 | − | 0.309913i | ||||
\(259\) | −2.74625e6 | + | 892312.i | −0.00982181 | + | 0.00319130i | ||||
\(260\) | −1.07715e6 | − | 782593.i | −0.00380074 | − | 0.00276140i | ||||
\(261\) | 1.14905e8 | + | 9.43399e7i | 0.400034 | + | 0.328438i | ||||
\(262\) | 1.77773e8 | − | 5.47128e8i | 0.610676 | − | 1.87947i | ||||
\(263\) | −4.07516e8 | −1.38134 | −0.690669 | − | 0.723171i | \(-0.742684\pi\) | ||||
−0.690669 | + | 0.723171i | \(0.742684\pi\) | |||||||
\(264\) | −1.83456e8 | − | 1.87978e8i | −0.613645 | − | 0.628772i | ||||
\(265\) | −1.84615e7 | −0.0609407 | ||||||||
\(266\) | 1.43799e7 | − | 4.42566e7i | 0.0468456 | − | 0.144176i | ||||
\(267\) | 3.17098e8 | + | 9.37496e6i | 1.01954 | + | 0.0301426i | ||||
\(268\) | 4.07852e7 | + | 2.96322e7i | 0.129429 | + | 0.0940356i | ||||
\(269\) | −1.47913e8 | + | 4.80599e7i | −0.463313 | + | 0.150539i | −0.531366 | − | 0.847142i | \(-0.678321\pi\) |
0.0680535 | + | 0.997682i | \(0.478321\pi\) | |||||||
\(270\) | 2.92338e7 | + | 2.59894e6i | 0.0903881 | + | 0.00803568i | ||||
\(271\) | 7.51288e7 | − | 1.03406e8i | 0.229305 | − | 0.315612i | −0.678824 | − | 0.734301i | \(-0.737510\pi\) |
0.908130 | + | 0.418689i | \(0.137510\pi\) | |||||||
\(272\) | −1.22099e8 | + | 8.87102e7i | −0.367893 | + | 0.267290i | ||||
\(273\) | 5.04453e6 | + | 7.39318e6i | 0.0150055 | + | 0.0219919i | ||||
\(274\) | − | 2.13028e8i | − | 0.625619i | ||||||
\(275\) | 2.37941e8 | − | 2.46360e8i | 0.689931 | − | 0.714341i | ||||
\(276\) | −4.52198e6 | − | 3.49416e6i | −0.0129463 | − | 0.0100037i | ||||
\(277\) | −5.06250e8 | − | 1.64491e8i | −1.43115 | − | 0.465010i | −0.512026 | − | 0.858970i | \(-0.671105\pi\) |
−0.919127 | + | 0.393960i | \(0.871105\pi\) | |||||||
\(278\) | −1.11164e8 | − | 1.53004e8i | −0.310318 | − | 0.427116i | ||||
\(279\) | 1.72703e8 | − | 4.40982e8i | 0.476085 | − | 1.21564i | ||||
\(280\) | −765729. | − | 2.35667e6i | −0.00208460 | − | 0.00641573i | ||||
\(281\) | 9.51532e7 | + | 2.92852e8i | 0.255830 | + | 0.787364i | 0.993665 | + | 0.112383i | \(0.0358482\pi\) |
−0.737835 | + | 0.674981i | \(0.764152\pi\) | |||||||
\(282\) | −1.68163e7 | − | 5.74827e7i | −0.0446537 | − | 0.152639i | ||||
\(283\) | −2.99703e8 | − | 4.12506e8i | −0.786030 | − | 1.08188i | −0.994591 | − | 0.103868i | \(-0.966878\pi\) |
0.208561 | − | 0.978009i | \(-0.433122\pi\) | |||||||
\(284\) | −1.39726e8 | − | 4.53998e7i | −0.361963 | − | 0.117609i | ||||
\(285\) | 2.96670e7 | − | 3.83937e7i | 0.0759131 | − | 0.0982433i | ||||
\(286\) | −5.45780e7 | + | 1.11881e8i | −0.137955 | + | 0.282797i | ||||
\(287\) | − | 4.45963e7i | − | 0.111356i | ||||||
\(288\) | −1.57214e8 | − | 9.30418e6i | −0.387809 | − | 0.0229511i | ||||
\(289\) | 2.80792e8 | − | 2.04007e8i | 0.684292 | − | 0.497167i | ||||
\(290\) | −1.14662e7 | + | 1.57818e7i | −0.0276074 | + | 0.0379983i | ||||
\(291\) | 3.07498e8 | + | 1.10061e8i | 0.731505 | + | 0.261822i | ||||
\(292\) | 2.85280e7 | − | 9.26930e6i | 0.0670550 | − | 0.0217875i | ||||
\(293\) | 3.56249e8 | + | 2.58830e8i | 0.827402 | + | 0.601143i | 0.918823 | − | 0.394670i | \(-0.129141\pi\) |
−0.0914212 | + | 0.995812i | \(0.529141\pi\) | |||||||
\(294\) | −1.39669e7 | + | 4.72416e8i | −0.0320542 | + | 1.08420i | ||||
\(295\) | 6.37360e6 | − | 1.96159e7i | 0.0144547 | − | 0.0444869i | ||||
\(296\) | 4.37342e7 | 0.0980166 | ||||||||
\(297\) | −3.86866e7 | − | 4.49829e8i | −0.0856865 | − | 0.996322i | ||||
\(298\) | −4.25618e8 | −0.931671 | ||||||||
\(299\) | 3.41275e6 | − | 1.05034e7i | 0.00738337 | − | 0.0227237i | ||||
\(300\) | 2.70299e6 | − | 9.14255e7i | 0.00577989 | − | 0.195498i | ||||
\(301\) | −1.06608e7 | − | 7.74552e6i | −0.0225324 | − | 0.0163707i | ||||
\(302\) | −1.84007e8 | + | 5.97875e7i | −0.384424 | + | 0.124907i | ||||
\(303\) | 3.84023e8 | + | 1.37450e8i | 0.793063 | + | 0.283855i | ||||
\(304\) | −4.99140e8 | + | 6.87008e8i | −1.01898 | + | 1.40250i | ||||
\(305\) | −3.81955e7 | + | 2.77506e7i | −0.0770836 | + | 0.0560045i | ||||
\(306\) | −2.14931e8 | − | 1.27199e7i | −0.428819 | − | 0.0253782i | ||||
\(307\) | − | 7.22073e8i | − | 1.42428i | −0.702036 | − | 0.712142i | \(-0.747725\pi\) | ||
0.702036 | − | 0.712142i | \(-0.252275\pi\) | |||||||
\(308\) | 8.25430e6 | − | 4.38812e6i | 0.0160973 | − | 0.00855758i | ||||
\(309\) | −2.73935e8 | + | 3.54515e8i | −0.528194 | + | 0.683565i | ||||
\(310\) | 5.90996e7 | + | 1.92026e7i | 0.112673 | + | 0.0366096i | ||||
\(311\) | −4.59600e8 | − | 6.32585e8i | −0.866400 | − | 1.19250i | −0.980005 | − | 0.198971i | \(-0.936240\pi\) |
0.113606 | − | 0.993526i | \(-0.463760\pi\) | |||||||
\(312\) | −3.80611e7 | − | 1.30103e8i | −0.0709479 | − | 0.242520i | ||||
\(313\) | 1.80168e8 | + | 5.54501e8i | 0.332103 | + | 1.02211i | 0.968131 | + | 0.250443i | \(0.0805761\pi\) |
−0.636028 | + | 0.771666i | \(0.719424\pi\) | |||||||
\(314\) | −2.17222e8 | − | 6.68541e8i | −0.395959 | − | 1.21864i | ||||
\(315\) | 1.55323e6 | − | 3.96603e6i | 0.00279993 | − | 0.00714940i | ||||
\(316\) | 1.03534e8 | + | 1.42503e8i | 0.184578 | + | 0.254050i | ||||
\(317\) | 7.53030e8 | + | 2.44674e8i | 1.32771 | + | 0.431401i | 0.885138 | − | 0.465330i | \(-0.154064\pi\) |
0.442577 | + | 0.896730i | \(0.354064\pi\) | |||||||
\(318\) | 3.64746e8 | + | 2.81841e8i | 0.636057 | + | 0.491484i | ||||
\(319\) | 2.69710e8 | + | 1.31571e8i | 0.465190 | + | 0.226930i | ||||
\(320\) | 3.56444e7i | 0.0608087i | ||||||||
\(321\) | 3.35904e8 | + | 4.92295e8i | 0.566822 | + | 0.830727i | ||||
\(322\) | −4.07791e6 | + | 2.96277e6i | −0.00680678 | + | 0.00494541i | ||||
\(323\) | −2.09221e8 | + | 2.87968e8i | −0.345459 | + | 0.475484i | ||||
\(324\) | −8.85031e7 | − | 8.18796e7i | −0.144561 | − | 0.133742i | ||||
\(325\) | 1.68110e8 | − | 5.46224e7i | 0.271646 | − | 0.0882630i | ||||
\(326\) | 9.96507e8 | + | 7.24005e8i | 1.59301 | + | 1.15739i | ||||
\(327\) | −6.18116e8 | − | 1.82745e7i | −0.977582 | − | 0.0289021i | ||||
\(328\) | −2.08722e8 | + | 6.42380e8i | −0.326595 | + | 1.00516i | ||||
\(329\) | −8.69194e6 | −0.0134565 | ||||||||
\(330\) | 5.86198e7 | − | 8.55421e6i | 0.0897936 | − | 0.0131033i | ||||
\(331\) | 7.12002e8 | 1.07915 | 0.539577 | − | 0.841936i | \(-0.318584\pi\) | ||||
0.539577 | + | 0.841936i | \(0.318584\pi\) | |||||||
\(332\) | −2.23865e7 | + | 6.88987e7i | −0.0335741 | + | 0.103330i | ||||
\(333\) | 5.81007e7 | + | 4.77022e7i | 0.0862237 | + | 0.0707919i | ||||
\(334\) | 7.80624e8 | + | 5.67156e8i | 1.14638 | + | 0.832895i | ||||
\(335\) | 4.40951e7 | − | 1.43274e7i | 0.0640817 | − | 0.0208214i | ||||
\(336\) | −2.51210e7 | + | 7.01856e7i | −0.0361285 | + | 0.100939i | ||||
\(337\) | 1.54675e8 | − | 2.12892e8i | 0.220148 | − | 0.303008i | −0.684630 | − | 0.728891i | \(-0.740036\pi\) |
0.904778 | + | 0.425882i | \(0.140036\pi\) | |||||||
\(338\) | 5.76376e8 | − | 4.18762e8i | 0.811891 | − | 0.589873i | ||||
\(339\) | −7.92005e8 | + | 5.40402e8i | −1.10415 | + | 0.753386i | ||||
\(340\) | − | 4.64825e6i | − | 0.00641377i | ||||||
\(341\) | 1.33110e8 | − | 9.46630e8i | 0.181790 | − | 1.29283i | ||||
\(342\) | −1.17227e9 | + | 3.05639e8i | −1.58466 | + | 0.413159i | ||||
\(343\) | 1.31030e8 | + | 4.25742e7i | 0.175324 | + | 0.0569662i | ||||
\(344\) | 1.17311e8 | + | 1.61464e8i | 0.155375 | + | 0.213856i | ||||
\(345\) | −5.04427e6 | + | 1.47567e6i | −0.00661350 | + | 0.00193474i | ||||
\(346\) | 2.12738e8 | + | 6.54741e8i | 0.276108 | + | 0.849773i | ||||
\(347\) | −3.09637e8 | − | 9.52966e8i | −0.397833 | − | 1.22440i | −0.926734 | − | 0.375719i | \(-0.877396\pi\) |
0.528901 | − | 0.848683i | \(-0.322604\pi\) | |||||||
\(348\) | 7.69152e7 | − | 2.25011e7i | 0.0978329 | − | 0.0286205i | ||||
\(349\) | −5.45322e8 | − | 7.50571e8i | −0.686695 | − | 0.945155i | 0.313295 | − | 0.949656i | \(-0.398567\pi\) |
−0.999990 | + | 0.00450133i | \(0.998567\pi\) | |||||||
\(350\) | −7.67277e7 | − | 2.49303e7i | −0.0956564 | − | 0.0310807i | ||||
\(351\) | 9.13439e7 | − | 2.14356e8i | 0.112747 | − | 0.264583i | ||||
\(352\) | −3.13064e8 | + | 5.51784e7i | −0.382591 | + | 0.0674325i | ||||
\(353\) | − | 1.76805e8i | − | 0.213936i | −0.994262 | − | 0.106968i | \(-0.965886\pi\) | ||
0.994262 | − | 0.106968i | \(-0.0341142\pi\) | |||||||
\(354\) | −4.25389e8 | + | 2.90252e8i | −0.509653 | + | 0.347747i | ||||
\(355\) | −1.09312e8 | + | 7.94200e7i | −0.129679 | + | 0.0942172i | ||||
\(356\) | 1.00512e8 | − | 1.38343e8i | 0.118071 | − | 0.162511i | ||||
\(357\) | −1.05298e7 | + | 2.94192e7i | −0.0122485 | + | 0.0342209i | ||||
\(358\) | 6.85994e8 | − | 2.22893e8i | 0.790187 | − | 0.256747i | ||||
\(359\) | 6.43861e8 | + | 4.67792e8i | 0.734448 | + | 0.533608i | 0.890968 | − | 0.454067i | \(-0.150027\pi\) |
−0.156519 | + | 0.987675i | \(0.550027\pi\) | |||||||
\(360\) | −4.09352e7 | + | 4.98586e7i | −0.0462422 | + | 0.0563224i | ||||
\(361\) | −3.42675e8 | + | 1.05465e9i | −0.383361 | + | 1.17986i | ||||
\(362\) | 8.10071e8 | 0.897518 | ||||||||
\(363\) | −2.86123e8 | − | 8.65244e8i | −0.313964 | − | 0.949435i | ||||
\(364\) | 4.82448e6 | 0.00524319 | ||||||||
\(365\) | 8.52483e6 | − | 2.62367e7i | 0.00917616 | − | 0.0282413i | ||||
\(366\) | 1.17828e9 | + | 3.48358e7i | 1.25622 | + | 0.0371400i | ||||
\(367\) | −4.45239e8 | − | 3.23485e8i | −0.470177 | − | 0.341604i | 0.327333 | − | 0.944909i | \(-0.393850\pi\) |
−0.797510 | + | 0.603305i | \(0.793850\pi\) | |||||||
\(368\) | 8.74819e7 | − | 2.84246e7i | 0.0915062 | − | 0.0297322i | ||||
\(369\) | −9.77950e8 | + | 6.25740e8i | −1.01327 | + | 0.648338i | ||||
\(370\) | −5.79777e6 | + | 7.97994e6i | −0.00595052 | + | 0.00819018i | ||||
\(371\) | 5.41201e7 | − | 3.93206e7i | 0.0550237 | − | 0.0399771i | ||||
\(372\) | −1.43883e8 | − | 2.10873e8i | −0.144914 | − | 0.212383i | ||||
\(373\) | − | 1.28850e9i | − | 1.28559i | −0.766038 | − | 0.642796i | \(-0.777774\pi\) | ||
0.766038 | − | 0.642796i | \(-0.222226\pi\) | |||||||
\(374\) | −4.27997e8 | + | 7.54355e7i | −0.423049 | + | 0.0745634i | ||||
\(375\) | −1.33587e8 | − | 1.03224e8i | −0.130815 | − | 0.101081i | ||||
\(376\) | 1.25201e8 | + | 4.06804e7i | 0.121465 | + | 0.0394664i | ||||
\(377\) | 9.10318e7 | + | 1.25295e8i | 0.0874981 | + | 0.120431i | ||||
\(378\) | −9.12343e7 | + | 5.46451e7i | −0.0868834 | + | 0.0520391i | ||||
\(379\) | 7.67116e7 | + | 2.36094e8i | 0.0723809 | + | 0.222765i | 0.980702 | − | 0.195508i | \(-0.0626355\pi\) |
−0.908321 | + | 0.418273i | \(0.862635\pi\) | |||||||
\(380\) | −8.08204e6 | − | 2.48740e7i | −0.00755577 | − | 0.0232543i | ||||
\(381\) | −3.81307e8 | − | 1.30342e9i | −0.353214 | − | 1.20738i | ||||
\(382\) | −7.25676e8 | − | 9.98807e8i | −0.666071 | − | 0.916769i | ||||
\(383\) | −6.09690e8 | − | 1.98100e8i | −0.554515 | − | 0.180173i | 0.0183365 | − | 0.999832i | \(-0.494163\pi\) |
−0.572852 | + | 0.819659i | \(0.694163\pi\) | |||||||
\(384\) | 8.07726e8 | − | 1.04532e9i | 0.727956 | − | 0.942087i | ||||
\(385\) | 1.19714e6 | − | 8.51365e6i | 0.00106914 | − | 0.00760332i | ||||
\(386\) | − | 1.38790e9i | − | 1.22829i | ||||||
\(387\) | −2.02672e7 | + | 3.42459e8i | −0.0177748 | + | 0.300345i | ||||
\(388\) | 1.42427e8 | − | 1.03479e8i | 0.123789 | − | 0.0899378i | ||||
\(389\) | −7.88128e8 | + | 1.08477e9i | −0.678849 | + | 0.934356i | −0.999919 | − | 0.0126995i | \(-0.995957\pi\) |
0.321070 | + | 0.947055i | \(0.395957\pi\) | |||||||
\(390\) | 2.87850e7 | + | 1.03028e7i | 0.0245720 | + | 0.00879487i | ||||
\(391\) | 3.66691e7 | − | 1.19145e7i | 0.0310229 | − | 0.0100799i | ||||
\(392\) | −8.40439e8 | − | 6.10614e8i | −0.704701 | − | 0.511995i | ||||
\(393\) | −6.42322e7 | + | 2.17258e9i | −0.0533800 | + | 1.80552i | ||||
\(394\) | 6.27217e8 | − | 1.93038e9i | 0.516632 | − | 1.59003i | ||||
\(395\) | 1.61996e8 | 0.132256 | ||||||||
\(396\) | −2.12045e8 | − | 1.19437e8i | −0.171591 | − | 0.0966511i | ||||
\(397\) | −1.02794e9 | −0.824516 | −0.412258 | − | 0.911067i | \(-0.635260\pi\) | ||||
−0.412258 | + | 0.911067i | \(0.635260\pi\) | |||||||
\(398\) | −7.64086e8 | + | 2.35161e9i | −0.607507 | + | 1.86971i | ||||
\(399\) | −5.19568e6 | + | 1.75738e8i | −0.00409484 | + | 0.138503i | ||||
\(400\) | 1.19107e9 | + | 8.65360e8i | 0.930520 | + | 0.676062i | ||||
\(401\) | −5.92566e7 | + | 1.92536e7i | −0.0458914 | + | 0.0149110i | −0.331873 | − | 0.943324i | \(-0.607680\pi\) |
0.285981 | + | 0.958235i | \(0.407680\pi\) | |||||||
\(402\) | −1.08992e9 | − | 3.90107e8i | −0.836764 | − | 0.299497i | ||||
\(403\) | 2.89983e8 | − | 3.99127e8i | 0.220701 | − | 0.303769i | ||||
\(404\) | 1.77872e8 | − | 1.29231e8i | 0.134206 | − | 0.0975063i | ||||
\(405\) | −1.08765e8 | + | 2.15876e7i | −0.0813570 | + | 0.0161478i | ||||
\(406\) | − | 7.06858e7i | − | 0.0524193i | ||||||
\(407\) | 1.36377e8 | + | 6.65276e7i | 0.100267 | + | 0.0489127i | ||||
\(408\) | 2.89364e8 | − | 3.74481e8i | 0.210928 | − | 0.272973i | ||||
\(409\) | 6.60140e8 | + | 2.14492e8i | 0.477094 | + | 0.155017i | 0.537686 | − | 0.843145i | \(-0.319299\pi\) |
−0.0605914 | + | 0.998163i | \(0.519299\pi\) | |||||||
\(410\) | −8.95417e7 | − | 1.23244e8i | −0.0641626 | − | 0.0883123i | ||||
\(411\) | 2.25986e8 | + | 7.72483e8i | 0.160559 | + | 0.548836i | ||||
\(412\) | 7.46270e7 | + | 2.29678e8i | 0.0525721 | + | 0.161800i | ||||
\(413\) | 2.30950e7 | + | 7.10792e7i | 0.0161322 | + | 0.0496497i | ||||
\(414\) | 1.22188e8 | + | 4.78529e7i | 0.0846308 | + | 0.0331441i | ||||
\(415\) | 3.91618e7 | + | 5.39016e7i | 0.0268964 | + | 0.0370197i | ||||
\(416\) | −1.56029e8 | − | 5.06968e7i | −0.106262 | − | 0.0345266i | ||||
\(417\) | 5.65413e8 | + | 4.36898e8i | 0.381847 | + | 0.295056i | ||||
\(418\) | −2.15916e9 | + | 1.14785e9i | −1.44600 | + | 0.768717i | ||||
\(419\) | − | 1.30782e9i | − | 0.868557i | −0.900779 | − | 0.434278i | \(-0.857003\pi\) | ||
0.900779 | − | 0.434278i | \(-0.142997\pi\) | |||||||
\(420\) | −1.29403e6 | − | 1.89652e6i | −0.000852261 | − | 0.00124906i | ||||
\(421\) | −1.17002e9 | + | 8.50069e8i | −0.764198 | + | 0.555223i | −0.900195 | − | 0.435487i | \(-0.856576\pi\) |
0.135997 | + | 0.990709i | \(0.456576\pi\) | |||||||
\(422\) | −1.41496e9 | + | 1.94753e9i | −0.916540 | + | 1.26151i | ||||
\(423\) | 1.21958e8 | + | 1.90605e8i | 0.0783466 | + | 0.122445i | ||||
\(424\) | −9.63594e8 | + | 3.13091e8i | −0.613922 | + | 0.199475i | ||||
\(425\) | 4.99250e8 | + | 3.62727e8i | 0.315469 | + | 0.229202i | ||||
\(426\) | 3.37215e9 | + | 9.96972e7i | 2.11336 | + | 0.0624812i | ||||
\(427\) | 5.28652e7 | − | 1.62702e8i | 0.0328603 | − | 0.101134i | ||||
\(428\) | 3.21251e8 | 0.198057 | ||||||||
\(429\) | 7.92248e7 | − | 4.63601e8i | 0.0484463 | − | 0.283494i | ||||
\(430\) | −4.50132e7 | −0.0273023 | ||||||||
\(431\) | 5.56675e8 | − | 1.71327e9i | 0.334912 | − | 1.03075i | −0.631853 | − | 0.775088i | \(-0.717705\pi\) |
0.966765 | − | 0.255666i | \(-0.0822947\pi\) | |||||||
\(432\) | 1.89157e9 | − | 4.33911e8i | 1.12883 | − | 0.258945i | ||||
\(433\) | 2.65990e7 | + | 1.93253e7i | 0.0157455 | + | 0.0114398i | 0.595630 | − | 0.803259i | \(-0.296902\pi\) |
−0.579885 | + | 0.814699i | \(0.696902\pi\) | |||||||
\(434\) | −2.14150e8 | + | 6.95815e7i | −0.125749 | + | 0.0408583i | ||||
\(435\) | 2.48369e7 | − | 6.93916e7i | 0.0144672 | − | 0.0404199i | ||||
\(436\) | −1.95927e8 | + | 2.69671e8i | −0.113212 | + | 0.155823i | ||||
\(437\) | 1.75510e8 | − | 1.27515e8i | 0.100604 | − | 0.0730932i | ||||
\(438\) | −5.68967e8 | + | 3.88218e8i | −0.323540 | + | 0.220758i | ||||
\(439\) | − | 1.20890e9i | − | 0.681969i | −0.940069 | − | 0.340985i | \(-0.889240\pi\) | ||
0.940069 | − | 0.340985i | \(-0.110760\pi\) | |||||||
\(440\) | −5.70900e7 | + | 1.17030e8i | −0.0319504 | + | 0.0654959i | ||||
\(441\) | −4.50504e8 | − | 1.72789e9i | −0.250129 | − | 0.959360i | ||||
\(442\) | −2.13310e8 | − | 6.93088e7i | −0.117499 | − | 0.0381777i | ||||
\(443\) | 2.05301e9 | + | 2.82572e9i | 1.12196 | + | 1.54425i | 0.802506 | + | 0.596644i | \(0.203500\pi\) |
0.319455 | + | 0.947602i | \(0.396500\pi\) | |||||||
\(444\) | 3.88915e7 | − | 1.13775e7i | 0.0210870 | − | 0.00616889i | ||||
\(445\) | −4.85983e7 | − | 1.49570e8i | −0.0261433 | − | 0.0804609i | ||||
\(446\) | −5.71776e8 | − | 1.75974e9i | −0.305178 | − | 0.939242i | ||||
\(447\) | 1.54338e9 | − | 4.51506e8i | 0.817326 | − | 0.239104i | ||||
\(448\) | −7.59176e7 | − | 1.04492e8i | −0.0398905 | − | 0.0549046i | ||||
\(449\) | 9.52621e8 | + | 3.09525e8i | 0.496659 | + | 0.161374i | 0.546626 | − | 0.837377i | \(-0.315912\pi\) |
−0.0499677 | + | 0.998751i | \(0.515912\pi\) | |||||||
\(450\) | 5.29886e8 | + | 2.03236e9i | 0.274119 | + | 1.05137i | ||||
\(451\) | −1.62804e9 | + | 1.68564e9i | −0.835692 | + | 0.865259i | ||||
\(452\) | 5.16829e8i | 0.263246i | ||||||||
\(453\) | 6.03823e8 | − | 4.12001e8i | 0.305187 | − | 0.208236i | ||||
\(454\) | 9.43399e8 | − | 6.85420e8i | 0.473151 | − | 0.343764i | ||||
\(455\) | 2.60800e6 | − | 3.58961e6i | 0.00129798 | − | 0.00178652i | ||||
\(456\) | 8.97338e8 | − | 2.50707e9i | 0.443179 | − | 1.23820i | ||||
\(457\) | 7.66775e8 | − | 2.49140e8i | 0.375804 | − | 0.122106i | −0.115024 | − | 0.993363i | \(-0.536694\pi\) |
0.490828 | + | 0.871257i | \(0.336694\pi\) | |||||||
\(458\) | −2.13884e9 | − | 1.55396e9i | −1.04028 | − | 0.755806i | ||||
\(459\) | 7.92877e8 | − | 1.81879e8i | 0.382703 | − | 0.0877888i | ||||
\(460\) | −875445. | + | 2.69434e6i | −0.000419350 | + | 0.00129063i | ||||
\(461\) | 3.76059e9 | 1.78773 | 0.893867 | − | 0.448332i | \(-0.147982\pi\) | ||||
0.893867 | + | 0.448332i | \(0.147982\pi\) | |||||||
\(462\) | −1.53625e8 | + | 1.49929e8i | −0.0724794 | + | 0.0707357i | ||||
\(463\) | 2.29194e9 | 1.07318 | 0.536588 | − | 0.843845i | \(-0.319713\pi\) | ||||
0.536588 | + | 0.843845i | \(0.319713\pi\) | |||||||
\(464\) | −3.98609e8 | + | 1.22679e9i | −0.185240 | + | 0.570109i | ||||
\(465\) | −2.34678e8 | − | 6.93822e6i | −0.108240 | − | 0.00320010i | ||||
\(466\) | 8.53272e8 | + | 6.19938e8i | 0.390604 | + | 0.283790i | ||||
\(467\) | −2.17221e9 | + | 7.05794e8i | −0.986944 | + | 0.320678i | −0.757637 | − | 0.652676i | \(-0.773646\pi\) |
−0.229308 | + | 0.973354i | \(0.573646\pi\) | |||||||
\(468\) | −6.76932e7 | − | 1.05796e8i | −0.0305270 | − | 0.0477098i | ||||
\(469\) | −9.87498e7 | + | 1.35917e8i | −0.0442009 | + | 0.0608373i | ||||
\(470\) | −2.40205e7 | + | 1.74519e7i | −0.0106718 | + | 0.00775355i | ||||
\(471\) | 1.49690e9 | + | 2.19383e9i | 0.660114 | + | 0.967453i | ||||
\(472\) | − | 1.13194e9i | − | 0.495479i | ||||||
\(473\) | 1.20195e8 | + | 6.81946e8i | 0.0522241 | + | 0.296303i | ||||
\(474\) | −3.20057e9 | − | 2.47310e9i | −1.38039 | − | 1.06664i | ||||
\(475\) | 3.30230e9 | + | 1.07298e9i | 1.41380 | + | 0.459372i | ||||
\(476\) | 9.90015e6 | + | 1.36264e7i | 0.00420743 | + | 0.00579104i | ||||
\(477\) | −1.62163e9 | − | 6.35082e8i | −0.684127 | − | 0.267926i | ||||
\(478\) | −8.24072e7 | − | 2.53623e8i | −0.0345118 | − | 0.106216i | ||||
\(479\) | 8.32601e8 | + | 2.56248e9i | 0.346149 | + | 1.06534i | 0.960966 | + | 0.276667i | \(0.0892298\pi\) |
−0.614817 | + | 0.788670i | \(0.710770\pi\) | |||||||
\(480\) | 2.19214e7 | + | 7.49334e7i | 0.00904738 | + | 0.0309265i | ||||
\(481\) | 4.60295e7 | + | 6.33541e7i | 0.0188594 | + | 0.0259578i | ||||
\(482\) | −4.72446e9 | − | 1.53507e9i | −1.92171 | − | 0.624402i | ||||
\(483\) | 1.16443e7 | − | 1.50696e7i | 0.00470218 | − | 0.00608535i | ||||
\(484\) | −4.72186e8 | − | 1.35471e8i | −0.189302 | − | 0.0543111i | ||||
\(485\) | − | 1.61910e8i | − | 0.0644432i | ||||||
\(486\) | 2.47844e9 | + | 1.23393e9i | 0.979379 | + | 0.487602i | ||||
\(487\) | −4.06454e9 | + | 2.95306e9i | −1.59463 | + | 1.15857i | −0.697710 | + | 0.716381i | \(0.745797\pi\) |
−0.896923 | + | 0.442187i | \(0.854203\pi\) | |||||||
\(488\) | −1.52297e9 | + | 2.09619e9i | −0.593230 | + | 0.816511i | ||||
\(489\) | −4.38158e9 | − | 1.56827e9i | −1.69453 | − | 0.606512i | ||||
\(490\) | 2.22831e8 | − | 7.24022e7i | 0.0855637 | − | 0.0278013i | ||||
\(491\) | −5.71415e8 | − | 4.15157e8i | −0.217854 | − | 0.158280i | 0.473506 | − | 0.880791i | \(-0.342988\pi\) |
−0.691360 | + | 0.722510i | \(0.742988\pi\) | |||||||
\(492\) | −1.84943e7 | + | 6.25549e8i | −0.00700100 | + | 0.236801i | ||||
\(493\) | −1.67082e8 | + | 5.14225e8i | −0.0628008 | + | 0.193281i | ||||
\(494\) | −1.26199e9 | −0.470989 | ||||||||
\(495\) | −2.03493e8 | + | 9.32047e7i | −0.0754103 | + | 0.0345398i | ||||
\(496\) | 4.10907e9 | 1.51202 | ||||||||
\(497\) | 1.51296e8 | − | 4.65640e8i | 0.0552814 | − | 0.170139i | ||||
\(498\) | 4.91604e7 | − | 1.66280e9i | 0.0178366 | − | 0.603305i | ||||
\(499\) | 4.98225e8 | + | 3.61982e8i | 0.179504 | + | 0.130417i | 0.673909 | − | 0.738814i | \(-0.264614\pi\) |
−0.494405 | + | 0.869232i | \(0.664614\pi\) | |||||||
\(500\) | −8.65468e7 | + | 2.81207e7i | −0.0309639 | + | 0.0100608i | ||||
\(501\) | −3.43235e9 | − | 1.22852e9i | −1.21944 | − | 0.436465i | ||||
\(502\) | 1.20156e7 | − | 1.65381e7i | 0.00423920 | − | 0.00583476i | ||||
\(503\) | −1.93905e9 | + | 1.40880e9i | −0.679361 | + | 0.493585i | −0.873146 | − | 0.487459i | \(-0.837924\pi\) |
0.193784 | + | 0.981044i | \(0.437924\pi\) | |||||||
\(504\) | 1.38098e7 | − | 2.33347e8i | 0.00480487 | − | 0.0811887i | ||||
\(505\) | − | 2.02203e8i | − | 0.0698663i | ||||||
\(506\) | 2.62294e8 | + | 3.68824e7i | 0.0900041 | + | 0.0126559i | ||||
\(507\) | −1.64582e9 | + | 2.12995e9i | −0.560861 | + | 0.725841i | ||||
\(508\) | −6.96205e8 | − | 2.26211e8i | −0.235621 | − | 0.0765579i | ||||
\(509\) | −9.06159e8 | − | 1.24722e9i | −0.304573 | − | 0.419209i | 0.629106 | − | 0.777320i | \(-0.283421\pi\) |
−0.933679 | + | 0.358110i | \(0.883421\pi\) | |||||||
\(510\) | 2.99692e7 | + | 1.02443e8i | 0.0100041 | + | 0.0341969i | ||||
\(511\) | 3.08901e7 | + | 9.50699e7i | 0.0102411 | + | 0.0315188i | ||||
\(512\) | 5.32693e8 | + | 1.63946e9i | 0.175401 | + | 0.539829i | ||||
\(513\) | 3.92665e9 | − | 2.35188e9i | 1.28414 | − | 0.769138i | ||||
\(514\) | −2.95187e9 | − | 4.06290e9i | −0.958795 | − | 1.31967i | ||||
\(515\) | 2.11232e8 | + | 6.86333e7i | 0.0681449 | + | 0.0221416i | ||||
\(516\) | 1.46326e8 | + | 1.13067e8i | 0.0468865 | + | 0.0362294i | ||||
\(517\) | 3.28535e8 | + | 3.17308e8i | 0.104560 | + | 0.100987i | ||||
\(518\) | − | 3.57417e7i | − | 0.0112985i | ||||||
\(519\) | −1.46600e9 | − | 2.14855e9i | −0.460307 | − | 0.674619i | ||||
\(520\) | −5.43668e7 | + | 3.94998e7i | −0.0169559 | + | 0.0123192i | ||||
\(521\) | 3.52050e9 | − | 4.84556e9i | 1.09062 | − | 1.50111i | 0.243352 | − | 0.969938i | \(-0.421753\pi\) |
0.847266 | − | 0.531168i | \(-0.178247\pi\) | |||||||
\(522\) | −1.55006e9 | + | 9.91807e8i | −0.476983 | + | 0.305197i | ||||
\(523\) | −1.37872e9 | + | 4.47974e8i | −0.421425 | + | 0.136929i | −0.512050 | − | 0.858956i | \(-0.671114\pi\) |
0.0906246 | + | 0.995885i | \(0.471114\pi\) | |||||||
\(524\) | 9.47852e8 | + | 6.88655e8i | 0.287793 | + | 0.209094i | ||||
\(525\) | 3.04677e8 | + | 9.00774e6i | 0.0918929 | + | 0.00271680i | ||||
\(526\) | 1.55872e9 | − | 4.79725e9i | 0.467001 | − | 1.43728i | ||||
\(527\) | 1.72237e9 | 0.512612 | ||||||||
\(528\) | 3.51172e9 | − | 1.73578e9i | 1.03825 | − | 0.513188i | ||||
\(529\) | 3.38133e9 | 0.993098 | ||||||||
\(530\) | 7.06141e7 | − | 2.17328e8i | 0.0206028 | − | 0.0634088i | ||||
\(531\) | 1.23464e9 | − | 1.50378e9i | 0.357857 | − | 0.435865i | ||||
\(532\) | 7.66708e7 | + | 5.57046e7i | 0.0220769 | + | 0.0160398i | ||||
\(533\) | −1.15024e9 | + | 3.73736e8i | −0.329036 | + | 0.106910i | ||||
\(534\) | −1.32324e9 | + | 3.69699e9i | −0.376048 | + | 1.05064i | ||||
\(535\) | 1.73661e8 | − | 2.39024e8i | 0.0490302 | − | 0.0674843i | ||||
\(536\) | 2.05855e9 | − | 1.49562e9i | 0.577411 | − | 0.419513i | ||||
\(537\) | −2.25110e9 | + | 1.53597e9i | −0.627314 | + | 0.428030i | ||||
\(538\) | − | 1.92505e9i | − | 0.532971i | ||||||
\(539\) | −1.69189e9 | − | 3.18255e9i | −0.465385 | − | 0.875415i | ||||
\(540\) | −2.34317e7 | + | 5.49871e7i | −0.00640363 | + | 0.0150274i | ||||
\(541\) | −1.15402e8 | − | 3.74964e7i | −0.0313346 | − | 0.0101812i | 0.293308 | − | 0.956018i | \(-0.405244\pi\) |
−0.324642 | + | 0.945837i | \(0.605244\pi\) | |||||||
\(542\) | 9.29924e8 | + | 1.27993e9i | 0.250871 | + | 0.345294i | ||||
\(543\) | −2.93748e9 | + | 8.59345e8i | −0.787365 | + | 0.230339i | ||||
\(544\) | −1.76992e8 | − | 5.44725e8i | −0.0471365 | − | 0.145071i | ||||
\(545\) | 9.47322e7 | + | 2.91556e8i | 0.0250674 | + | 0.0771497i | ||||
\(546\) | −1.06327e8 | + | 3.11054e7i | −0.0279556 | + | 0.00817826i | ||||
\(547\) | −2.21161e9 | − | 3.04402e9i | −0.577767 | − | 0.795229i | 0.415681 | − | 0.909511i | \(-0.363543\pi\) |
−0.993448 | + | 0.114282i | \(0.963543\pi\) | |||||||
\(548\) | 4.12613e8 | + | 1.34066e8i | 0.107105 | + | 0.0348006i | ||||
\(549\) | −4.30965e9 | + | 1.12363e9i | −1.11157 | + | 0.289815i | ||||
\(550\) | 1.99002e9 | + | 3.74334e9i | 0.510021 | + | 0.959377i | ||||
\(551\) | 3.04226e9i | 0.774757i | ||||||||
\(552\) | −2.38258e8 | + | 1.62568e8i | −0.0602921 | + | 0.0411386i | ||||
\(553\) | −4.74892e8 | + | 3.45030e8i | −0.119415 | + | 0.0867598i | ||||
\(554\) | 3.87274e9 | − | 5.33037e9i | 0.967686 | − | 1.33191i | ||||
\(555\) | 1.25585e7 | − | 3.50873e7i | 0.00311827 | − | 0.00871214i | ||||
\(556\) | 3.66312e8 | − | 1.19022e8i | 0.0903836 | − | 0.0293674i | ||||
\(557\) | 1.51252e8 | + | 1.09891e8i | 0.0370858 | + | 0.0269444i | 0.606174 | − | 0.795332i | \(-0.292704\pi\) |
−0.569088 | + | 0.822277i | \(0.692704\pi\) | |||||||
\(558\) | 4.53063e9 | + | 3.71977e9i | 1.10392 | + | 0.906350i | ||||
\(559\) | −1.10433e8 | + | 3.39877e8i | −0.0267397 | + | 0.0822962i | ||||
\(560\) | 3.69555e7 | 0.00889244 | ||||||||
\(561\) | 1.47198e9 | − | 7.27575e8i | 0.351992 | − | 0.173983i | ||||
\(562\) | −3.81138e9 | −0.905743 | ||||||||
\(563\) | 9.57946e8 | − | 2.94825e9i | 0.226236 | − | 0.696283i | −0.771928 | − | 0.635710i | \(-0.780707\pi\) |
0.998164 | − | 0.0605726i | \(-0.0192927\pi\) | |||||||
\(564\) | 1.21921e8 | + | 3.60459e6i | 0.0286156 | + | 0.000846016i | ||||
\(565\) | 3.84541e8 | + | 2.79386e8i | 0.0896961 | + | 0.0651680i | ||||
\(566\) | 6.00233e9 | − | 1.95028e9i | 1.39143 | − | 0.452104i | ||||
\(567\) | 2.72865e8 | − | 2.94938e8i | 0.0628648 | − | 0.0679501i | ||||
\(568\) | −4.35862e9 | + | 5.99913e9i | −0.997999 | + | 1.37363i | ||||
\(569\) | −3.68369e9 | + | 2.67636e9i | −0.838283 | + | 0.609048i | −0.921890 | − | 0.387451i | \(-0.873356\pi\) |
0.0836077 | + | 0.996499i | \(0.473356\pi\) | |||||||
\(570\) | 3.38493e8 | + | 4.96091e8i | 0.0765575 | + | 0.112202i | ||||
\(571\) | 4.33814e9i | 0.975162i | 0.873078 | + | 0.487581i | \(0.162121\pi\) | ||||
−0.873078 | + | 0.487581i | \(0.837879\pi\) | |||||||
\(572\) | −1.82354e8 | − | 1.76123e8i | −0.0407408 | − | 0.0393486i | ||||
\(573\) | 3.69101e9 | + | 2.85206e9i | 0.819603 | + | 0.633312i | ||||
\(574\) | 5.24984e8 | + | 1.70578e8i | 0.115866 | + | 0.0376470i | ||||
\(575\) | −2.21073e8 | − | 3.04281e8i | −0.0484952 | − | 0.0667479i | ||||
\(576\) | −1.22617e9 | + | 3.13094e9i | −0.267346 | + | 0.682646i | ||||
\(577\) | 1.44718e9 | + | 4.45395e9i | 0.313622 | + | 0.965229i | 0.976318 | + | 0.216340i | \(0.0694120\pi\) |
−0.662696 | + | 0.748888i | \(0.730588\pi\) | |||||||
\(578\) | 1.32755e9 | + | 4.08577e9i | 0.285958 | + | 0.880088i | ||||
\(579\) | 1.47232e9 | + | 5.03280e9i | 0.315229 | + | 1.07754i | ||||
\(580\) | −2.33517e7 | − | 3.21408e7i | −0.00496958 | − | 0.00684004i | ||||
\(581\) | −2.29606e8 | − | 7.46035e7i | −0.0485699 | − | 0.0157813i | ||||
\(582\) | −2.47178e9 | + | 3.19887e9i | −0.519733 | + | 0.672614i | ||||
\(583\) | −3.48105e9 | − | 4.89487e8i | −0.727563 | − | 0.102306i | ||||
\(584\) | − | 1.51399e9i | − | 0.314542i | ||||||
\(585\) | −1.15310e8 | − | 6.82420e6i | −0.0238133 | − | 0.00140931i | ||||
\(586\) | −4.40955e9 | + | 3.20372e9i | −0.905216 | + | 0.657678i | ||||
\(587\) | 3.45131e9 | − | 4.75032e9i | 0.704288 | − | 0.969369i | −0.295613 | − | 0.955308i | \(-0.595524\pi\) |
0.999901 | − | 0.0140615i | \(-0.00447607\pi\) | |||||||
\(588\) | −9.06230e8 | − | 3.24361e8i | −0.183831 | − | 0.0657972i | ||||
\(589\) | 9.21683e9 | − | 2.99473e9i | 1.85857 | − | 0.603885i | ||||
\(590\) | 2.06539e8 | + | 1.50059e8i | 0.0414018 | + | 0.0300802i | ||||
\(591\) | −2.26624e8 | + | 7.66530e9i | −0.0451595 | + | 1.52747i | ||||
\(592\) | −2.01553e8 | + | 6.20317e8i | −0.0399267 | + | 0.122882i | ||||
\(593\) | −9.18277e8 | −0.180835 | −0.0904175 | − | 0.995904i | \(-0.528820\pi\) | ||||
−0.0904175 | + | 0.995904i | \(0.528820\pi\) | |||||||
\(594\) | 5.44332e9 | + | 1.26515e9i | 1.06564 | + | 0.247679i | ||||
\(595\) | 1.54904e7 | 0.00301476 | ||||||||
\(596\) | 2.67856e8 | − | 8.24377e8i | 0.0518251 | − | 0.159501i | ||||
\(597\) | 2.76077e8 | − | 9.33799e9i | 0.0531031 | − | 1.79615i | ||||
\(598\) | 1.10591e8 | + | 8.03491e7i | 0.0211478 | + | 0.0153648i | ||||
\(599\) | −2.31219e9 | + | 7.51276e8i | −0.439572 | + | 0.142826i | −0.520438 | − | 0.853899i | \(-0.674231\pi\) |
0.0808663 | + | 0.996725i | \(0.474231\pi\) | |||||||
\(600\) | −4.34651e9 | − | 1.55571e9i | −0.821507 | − | 0.294036i | ||||
\(601\) | 1.01844e9 | − | 1.40176e9i | 0.191370 | − | 0.263398i | −0.702541 | − | 0.711644i | \(-0.747951\pi\) |
0.893910 | + | 0.448246i | \(0.147951\pi\) | |||||||
\(602\) | 1.31956e8 | − | 9.58719e7i | 0.0246515 | − | 0.0179103i | ||||
\(603\) | 4.36610e9 | + | 2.58393e8i | 0.810930 | + | 0.0479921i | ||||
\(604\) | − | 3.94029e8i | − | 0.0727611i | ||||||
\(605\) | −3.56049e8 | + | 2.78093e8i | −0.0653681 | + | 0.0510560i | ||||
\(606\) | −3.08691e9 | + | 3.99494e9i | −0.563470 | + | 0.729217i | ||||
\(607\) | −8.04951e9 | − | 2.61544e9i | −1.46086 | − | 0.474662i | −0.532528 | − | 0.846412i | \(-0.678758\pi\) |
−0.928333 | + | 0.371750i | \(0.878758\pi\) | |||||||
\(608\) | −1.89426e9 | − | 2.60722e9i | −0.341803 | − | 0.470452i | ||||
\(609\) | 7.49854e7 | + | 2.56321e8i | 0.0134529 | + | 0.0459858i | ||||
\(610\) | −1.80583e8 | − | 5.55778e8i | −0.0322124 | − | 0.0991395i | ||||
\(611\) | 7.28420e7 | + | 2.24185e8i | 0.0129193 | + | 0.0397614i | ||||
\(612\) | 1.59901e8 | − | 4.08294e8i | 0.0281982 | − | 0.0720018i | ||||
\(613\) | −2.65558e9 | − | 3.65509e9i | −0.465637 | − | 0.640894i | 0.510029 | − | 0.860157i | \(-0.329635\pi\) |
−0.975666 | + | 0.219263i | \(0.929635\pi\) | |||||||
\(614\) | 8.50018e9 | + | 2.76188e9i | 1.48197 | + | 0.481521i | ||||
\(615\) | 4.55437e8 | + | 3.51918e8i | 0.0789523 | + | 0.0610069i | ||||
\(616\) | −8.18991e7 | − | 4.64669e8i | −0.0141171 | − | 0.0800962i | ||||
\(617\) | 1.81137e9i | 0.310462i | 0.987878 | + | 0.155231i | \(0.0496122\pi\) | ||||
−0.987878 | + | 0.155231i | \(0.950388\pi\) | |||||||
\(618\) | −3.12554e9 | − | 4.58074e9i | −0.532678 | − | 0.780685i | ||||
\(619\) | 2.61871e9 | − | 1.90261e9i | 0.443783 | − | 0.322427i | −0.343353 | − | 0.939206i | \(-0.611563\pi\) |
0.787136 | + | 0.616779i | \(0.211563\pi\) | |||||||
\(620\) | −7.43870e7 | + | 1.02385e8i | −0.0125351 | + | 0.0172530i | ||||
\(621\) | −4.93843e8 | − | 4.39036e7i | −0.0827501 | − | 0.00735665i | ||||
\(622\) | 9.20467e9 | − | 2.99078e9i | 1.53370 | − | 0.498331i | ||||
\(623\) | 4.61030e8 | + | 3.34958e8i | 0.0763873 | + | 0.0554986i | ||||
\(624\) | 2.02077e9 | + | 5.97439e7i | 0.332944 | + | 0.00984345i | ||||
\(625\) | 1.84725e9 | − | 5.68526e9i | 0.302654 | − | 0.931473i | ||||
\(626\) | −7.21667e9 | −1.17578 | ||||||||
\(627\) | 6.61189e9 | − | 6.45281e9i | 1.07125 | − | 1.04547i | ||||
\(628\) | 1.43160e9 | 0.230655 | ||||||||
\(629\) | −8.44836e7 | + | 2.60014e8i | −0.0135361 | + | 0.0416600i | ||||
\(630\) | 4.07469e7 | + | 3.34542e7i | 0.00649235 | + | 0.00533039i | ||||
\(631\) | −3.59821e9 | − | 2.61425e9i | −0.570143 | − | 0.414233i | 0.265014 | − | 0.964245i | \(-0.414623\pi\) |
−0.835157 | + | 0.550011i | \(0.814623\pi\) | |||||||
\(632\) | 8.45533e9 | − | 2.74730e9i | 1.33236 | − | 0.432909i | ||||
\(633\) | 3.06495e9 | − | 8.56316e9i | 0.480298 | − | 1.34190i | ||||
\(634\) | −5.76057e9 | + | 7.92875e9i | −0.897745 | + | 1.23564i | ||||
\(635\) | −5.44662e8 | + | 3.95720e8i | −0.0844149 | + | 0.0613310i | ||||
\(636\) | −7.75445e8 | + | 5.29103e8i | −0.119523 | + | 0.0815531i | ||||
\(637\) | − | 1.86014e9i | − | 0.285139i | ||||||
\(638\) | −2.58046e9 | + | 2.67176e9i | −0.393392 | + | 0.407310i | ||||
\(639\) | −1.23339e10 | + | 3.21574e9i | −1.87002 | + | 0.487560i | ||||
\(640\) | −6.22838e8 | − | 2.02372e8i | −0.0939171 | − | 0.0305155i | ||||
\(641\) | 2.21117e8 | + | 3.04341e8i | 0.0331603 | + | 0.0456412i | 0.825275 | − | 0.564731i | \(-0.191020\pi\) |
−0.792115 | + | 0.610372i | \(0.791020\pi\) | |||||||
\(642\) | −7.08007e9 | + | 2.07124e9i | −1.05600 | + | 0.308928i | ||||
\(643\) | 1.60346e9 | + | 4.93494e9i | 0.237859 | + | 0.732055i | 0.996729 | + | 0.0808129i | \(0.0257516\pi\) |
−0.758870 | + | 0.651242i | \(0.774248\pi\) | |||||||
\(644\) | −3.17221e6 | − | 9.76306e6i | −0.000468017 | − | 0.00144041i | ||||
\(645\) | 1.63227e8 | − | 4.77511e7i | 0.0239515 | − | 0.00700688i | ||||
\(646\) | −2.58968e9 | − | 3.56439e9i | −0.377948 | − | 0.520201i | ||||
\(647\) | −4.37115e9 | − | 1.42027e9i | −0.634499 | − | 0.206161i | −0.0259322 | − | 0.999664i | \(-0.508255\pi\) |
−0.608567 | + | 0.793502i | \(0.708255\pi\) | |||||||
\(648\) | −5.31082e9 | + | 2.97130e9i | −0.766742 | + | 0.428978i | ||||
\(649\) | 1.72188e9 | − | 3.52973e9i | 0.247256 | − | 0.506857i | ||||
\(650\) | 2.18791e9i | 0.312487i | ||||||||
\(651\) | 7.02737e8 | − | 4.79492e8i | 0.0998296 | − | 0.0681159i | ||||
\(652\) | −2.02946e9 | + | 1.47449e9i | −0.286757 | + | 0.208341i | ||||
\(653\) | 5.81194e9 | − | 7.99945e9i | 0.816818 | − | 1.12425i | −0.173417 | − | 0.984848i | \(-0.555481\pi\) |
0.990235 | − | 0.139405i | \(-0.0445190\pi\) | |||||||
\(654\) | 2.57938e9 | − | 7.20652e9i | 0.360573 | − | 1.00740i | ||||
\(655\) | 1.02477e9 | − | 3.32969e8i | 0.142490 | − | 0.0462977i | ||||
\(656\) | −8.14948e9 | − | 5.92094e9i | −1.12711 | − | 0.818894i | ||||
\(657\) | 1.65136e9 | − | 2.01133e9i | 0.227176 | − | 0.276697i | ||||
\(658\) | 3.32460e7 | − | 1.02321e8i | 0.00454935 | − | 0.0140015i | ||||
\(659\) | −1.08516e10 | −1.47705 | −0.738526 | − | 0.674225i | \(-0.764478\pi\) | ||||
−0.738526 | + | 0.674225i | \(0.764478\pi\) | |||||||
\(660\) | −2.03229e7 | + | 1.18924e8i | −0.00275158 | + | 0.0161015i | ||||
\(661\) | 1.12206e10 | 1.51116 | 0.755582 | − | 0.655054i | \(-0.227354\pi\) | ||||
0.755582 | + | 0.655054i | \(0.227354\pi\) | |||||||
\(662\) | −2.72336e9 | + | 8.38163e9i | −0.364839 | + | 1.12286i | ||||
\(663\) | 8.47032e8 | + | 2.50424e7i | 0.112876 | + | 0.00333717i | ||||
\(664\) | 2.95816e9 | + | 2.14923e9i | 0.392132 | + | 0.284901i | ||||
\(665\) | 8.28929e7 | − | 2.69335e7i | 0.0109305 | − | 0.00355155i | ||||
\(666\) | −7.83777e8 | + | 5.01499e8i | −0.102809 | + | 0.0657825i | ||||
\(667\) | 1.93697e8 | − | 2.66601e8i | 0.0252745 | − | 0.0347873i | ||||
\(668\) | −1.58980e9 | + | 1.15506e9i | −0.206359 | + | 0.149929i | ||||
\(669\) | 3.94016e9 | + | 5.77464e9i | 0.508771 | + | 0.745647i | ||||
\(670\) | 5.73885e8i | 0.0737163i | ||||||||
\(671\) | −7.93780e9 | + | 4.21987e9i | −1.01431 | + | 0.539225i | ||||
\(672\) | −2.23861e8 | − | 1.72978e8i | −0.0284567 | − | 0.0219887i | ||||
\(673\) | −1.00907e10 | − | 3.27867e9i | −1.27605 | − | 0.414615i | −0.408866 | − | 0.912595i | \(-0.634076\pi\) |
−0.867189 | + | 0.497979i | \(0.834076\pi\) | |||||||
\(674\) | 1.91452e9 | + | 2.63512e9i | 0.240853 | + | 0.331505i | ||||
\(675\) | −4.07745e9 | − | 6.80763e9i | −0.510300 | − | 0.851987i | ||||
\(676\) | 4.48364e8 | + | 1.37992e9i | 0.0558235 | + | 0.171807i | ||||
\(677\) | 2.14426e9 | + | 6.59936e9i | 0.265593 | + | 0.817412i | 0.991556 | + | 0.129678i | \(0.0413945\pi\) |
−0.725963 | + | 0.687734i | \(0.758606\pi\) | |||||||
\(678\) | −3.33220e9 | − | 1.13904e10i | −0.410608 | − | 1.40357i | ||||
\(679\) | 3.44846e8 | + | 4.74640e8i | 0.0422748 | + | 0.0581862i | ||||
\(680\) | −2.23128e8 | − | 7.24988e7i | −0.0272128 | − | 0.00884198i | ||||
\(681\) | −2.69385e9 | + | 3.48625e9i | −0.326857 | + | 0.423003i | ||||
\(682\) | 1.06345e10 | + | 5.18775e9i | 1.28373 | + | 0.626230i | ||||
\(683\) | 5.96763e9i | 0.716687i | 0.933590 | + | 0.358344i | \(0.116658\pi\) | ||||
−0.933590 | + | 0.358344i | \(0.883342\pi\) | |||||||
\(684\) | 1.45759e8 | − | 2.46291e9i | 0.0174156 | − | 0.294274i | ||||
\(685\) | 3.22800e8 | − | 2.34528e8i | 0.0383722 | − | 0.0278790i | ||||
\(686\) | −1.00236e9 | + | 1.37963e9i | −0.118547 | + | 0.163166i | ||||
\(687\) | 9.40435e9 | + | 3.36603e9i | 1.10657 | + | 0.396068i | ||||
\(688\) | −2.83081e9 | + | 9.19787e8i | −0.331399 | + | 0.107678i | ||||
\(689\) | −1.46772e9 | − | 1.06636e9i | −0.170952 | − | 0.124204i | ||||
\(690\) | 1.92246e6 | − | 6.50251e7i | 0.000222785 | − | 0.00753545i | ||||
\(691\) | −6.99148e8 | + | 2.15176e9i | −0.0806113 | + | 0.248096i | −0.983238 | − | 0.182329i | \(-0.941636\pi\) |
0.902626 | + | 0.430425i | \(0.141636\pi\) | |||||||
\(692\) | −1.40205e9 | −0.160839 | ||||||||
\(693\) | 3.98027e8 | − | 7.06642e8i | 0.0454303 | − | 0.0806553i | ||||
\(694\) | 1.24026e10 | 1.40849 | ||||||||
\(695\) | 1.09463e8 | − | 3.36892e8i | 0.0123686 | − | 0.0380666i | ||||
\(696\) | 1.19533e8 | − | 4.04308e9i | 0.0134387 | − | 0.454549i | ||||
\(697\) | −3.41596e9 | − | 2.48184e9i | −0.382118 | − | 0.277625i | ||||
\(698\) | 1.09215e10 | − | 3.54860e9i | 1.21559 | − | 0.394969i | ||||
\(699\) | −3.75178e9 | − | 1.34285e9i | −0.415497 | − | 0.148716i | ||||
\(700\) | 9.65750e7 | − | 1.32924e8i | 0.0106420 | − | 0.0146474i | ||||
\(701\) | −4.67707e9 | + | 3.39809e9i | −0.512815 | + | 0.372582i | −0.813890 | − | 0.581019i | \(-0.802654\pi\) |
0.301076 | + | 0.953600i | \(0.402654\pi\) | |||||||
\(702\) | 2.17400e9 | + | 1.89519e9i | 0.237181 | + | 0.206763i | ||||
\(703\) | 1.53829e9i | 0.166992i | ||||||||
\(704\) | −9.45070e8 | + | 6.72099e9i | −0.102084 | + | 0.725988i | ||||
\(705\) | 6.85897e7 | − | 8.87657e7i | 0.00737220 | − | 0.00954077i | ||||
\(706\) | 2.08134e9 | + | 6.76267e8i | 0.222600 | + | 0.0723272i | ||||
\(707\) | 4.30665e8 | + | 5.92760e8i | 0.0458323 | + | 0.0630828i | ||||
\(708\) | −2.94475e8 | − | 1.00660e9i | −0.0311840 | − | 0.106596i | ||||
\(709\) | 3.47138e9 | + | 1.06838e10i | 0.365797 | + | 1.12581i | 0.949481 | + | 0.313826i | \(0.101611\pi\) |
−0.583684 | + | 0.811981i | \(0.698389\pi\) | |||||||
\(710\) | −5.16814e8 | − | 1.59059e9i | −0.0541914 | − | 0.166784i | ||||
\(711\) | 1.42294e10 | + | 5.57271e9i | 1.48472 | + | 0.581464i | ||||
\(712\) | −5.07314e9 | − | 6.98258e9i | −0.526741 | − | 0.724997i | ||||
\(713\) | −9.98365e8 | − | 3.24388e8i | −0.103152 | − | 0.0335160i | ||||
\(714\) | −3.06045e8 | − | 2.36482e8i | −0.0314660 | − | 0.0243139i | ||||
\(715\) | −2.29619e8 | + | 4.04709e7i | −0.0234929 | + | 0.00414068i | ||||
\(716\) | 1.46897e9i | 0.149561i | ||||||||
\(717\) | 5.67875e8 | + | 8.32270e8i | 0.0575355 | + | 0.0843232i | ||||
\(718\) | −7.96953e9 | + | 5.79020e9i | −0.803521 | + | 0.583792i | ||||
\(719\) | 3.37156e8 | − | 4.64056e8i | 0.0338283 | − | 0.0465607i | −0.791768 | − | 0.610822i | \(-0.790839\pi\) |
0.825596 | + | 0.564262i | \(0.190839\pi\) | |||||||
\(720\) | −5.18530e8 | − | 8.10395e8i | −0.0517738 | − | 0.0809157i | ||||
\(721\) | −7.65406e8 | + | 2.48696e8i | −0.0760534 | + | 0.0247112i | ||||
\(722\) | −1.11045e10 | − | 8.06789e9i | −1.09804 | − | 0.797774i | ||||
\(723\) | 1.87603e10 | + | 5.54647e8i | 1.84610 | + | 0.0545798i | ||||
\(724\) | −5.09807e8 | + | 1.56902e9i | −0.0499253 | + | 0.153654i | ||||
\(725\) | 5.27437e9 | 0.514028 | ||||||||
\(726\) | 1.12800e10 | − | 5.87193e7i | 1.09403 | − | 0.00569512i | ||||
\(727\) | −2.00789e9 | −0.193807 | −0.0969034 | − | 0.995294i | \(-0.530894\pi\) | ||||
−0.0969034 | + | 0.995294i | \(0.530894\pi\) | |||||||
\(728\) | 7.52474e7 | − | 2.31588e8i | 0.00722822 | − | 0.0222462i | ||||
\(729\) | −1.02963e10 | − | 1.84531e9i | −0.984317 | − | 0.176410i | ||||
\(730\) | 2.76250e8 | + | 2.00707e8i | 0.0262828 | + | 0.0190956i | ||||
\(731\) | −1.18657e9 | + | 3.85540e8i | −0.112353 | + | 0.0365056i | ||||
\(732\) | −8.09009e8 | + | 2.26029e9i | −0.0762368 | + | 0.212998i | ||||
\(733\) | −1.47873e9 | + | 2.03529e9i | −0.138683 | + | 0.190881i | −0.872709 | − | 0.488240i | \(-0.837639\pi\) |
0.734026 | + | 0.679121i | \(0.237639\pi\) | |||||||
\(734\) | 5.51104e9 | − | 4.00401e9i | 0.514396 | − | 0.373731i | ||||
\(735\) | −7.31225e8 | + | 4.98930e8i | −0.0679274 | + | 0.0463483i | ||||
\(736\) | 3.49082e8i | 0.0322742i | ||||||||
\(737\) | 8.69432e9 | − | 1.53239e9i | 0.800018 | − | 0.141005i | ||||
\(738\) | −3.62557e9 | − | 1.39058e10i | −0.332032 | − | 1.27350i | ||||
\(739\) | 8.90513e8 | + | 2.89345e8i | 0.0811680 | + | 0.0263731i | 0.349320 | − | 0.937004i | \(-0.386413\pi\) |
−0.268152 | + | 0.963377i | \(0.586413\pi\) | |||||||
\(740\) | −1.18076e7 | − | 1.62517e7i | −0.00107115 | − | 0.00147431i | ||||
\(741\) | 4.57622e9 | − | 1.33875e9i | 0.413184 | − | 0.120875i | ||||
\(742\) | 2.55873e8 | + | 7.87496e8i | 0.0229938 | + | 0.0707676i | ||||
\(743\) | 1.93958e9 | + | 5.96941e9i | 0.173479 | + | 0.533913i | 0.999561 | − | 0.0296369i | \(-0.00943508\pi\) |
−0.826082 | + | 0.563550i | \(0.809435\pi\) | |||||||
\(744\) | −1.23666e10 | + | 3.61778e9i | −1.10089 | + | 0.322060i | ||||
\(745\) | −4.68573e8 | − | 6.44935e8i | −0.0415174 | − | 0.0571438i | ||||
\(746\) | 1.51681e10 | + | 4.92841e9i | 1.33766 | + | 0.434631i | ||||
\(747\) | 1.58567e9 | + | 6.08179e9i | 0.139185 | + | 0.533838i | ||||
\(748\) | 1.23243e8 | − | 8.76461e8i | 0.0107673 | − | 0.0765732i | ||||
\(749\) | 1.07057e9i | 0.0930958i | ||||||||
\(750\) | 1.72610e9 | − | 1.17776e9i | 0.149401 | − | 0.101939i | ||||
\(751\) | −1.09516e10 | + | 7.95681e9i | −0.943492 | + | 0.685487i | −0.949259 | − | 0.314496i | \(-0.898164\pi\) |
0.00576642 | + | 0.999983i | \(0.498164\pi\) | |||||||
\(752\) | −1.15401e9 | + | 1.58835e9i | −0.0989569 | + | 0.136202i | ||||
\(753\) | −2.60271e7 | + | 7.27171e7i | −0.00222149 | + | 0.00620660i | ||||
\(754\) | −1.82315e9 | + | 5.92376e8i | −0.154890 | + | 0.0503267i | ||||
\(755\) | −2.93174e8 | − | 2.13003e8i | −0.0247919 | − | 0.0180124i | ||||
\(756\) | −4.84249e7 | − | 2.11102e8i | −0.00407608 | − | 0.0177691i | ||||
\(757\) | 2.83725e9 | − | 8.73215e9i | 0.237718 | − | 0.731620i | −0.759031 | − | 0.651054i | \(-0.774327\pi\) |
0.996749 | − | 0.0805662i | \(-0.0256728\pi\) | |||||||
\(758\) | −3.07270e9 | −0.256258 | ||||||||
\(759\) | −9.90259e8 | + | 1.44506e8i | −0.0822058 | + | 0.0119961i | ||||
\(760\) | −1.32007e9 | −0.109081 | ||||||||
\(761\) | −1.44458e9 | + | 4.44597e9i | −0.118822 | + | 0.365696i | −0.992725 | − | 0.120404i | \(-0.961581\pi\) |
0.873903 | + | 0.486100i | \(0.161581\pi\) | |||||||
\(762\) | 1.68022e10 | + | 4.96754e8i | 1.37570 | + | 0.0406724i | ||||
\(763\) | −8.98682e8 | − | 6.52931e8i | −0.0732437 | − | 0.0532147i | ||||
\(764\) | 2.39128e9 | − | 7.76974e8i | 0.194001 | − | 0.0630347i | ||||
\(765\) | −2.17349e8 | − | 3.39687e8i | −0.0175526 | − | 0.0274324i | ||||
\(766\) | 4.66404e9 | − | 6.41950e9i | 0.374940 | − | 0.516061i | ||||
\(767\) | 1.63975e9 | − | 1.19135e9i | 0.131218 | − | 0.0953353i | ||||
\(768\) | 4.02877e9 | + | 5.90451e9i | 0.320929 | + | 0.470348i | ||||
\(769\) | 3.28283e9i | 0.260319i | 0.991493 | + | 0.130160i | \(0.0415489\pi\) | ||||
−0.991493 | + | 0.130160i | \(0.958451\pi\) | |||||||
\(770\) | 9.56430e7 | + | 4.66568e7i | 0.00754980 | + | 0.00368296i | ||||
\(771\) | 1.50141e10 | + | 1.16015e10i | 1.17980 | + | 0.911639i | ||||
\(772\) | 2.68821e9 | + | 8.73454e8i | 0.210283 | + | 0.0683249i | ||||
\(773\) | −1.32670e9 | − | 1.82604e9i | −0.103310 | − | 0.142195i | 0.754232 | − | 0.656608i | \(-0.228010\pi\) |
−0.857542 | + | 0.514414i | \(0.828010\pi\) | |||||||
\(774\) | −3.95388e9 | − | 1.54846e9i | −0.306499 | − | 0.120035i | ||||
\(775\) | −5.19196e9 | − | 1.59792e10i | −0.400660 | − | 1.23310i | ||||
\(776\) | −2.74584e9 | − | 8.45083e9i | −0.210940 | − | 0.649207i | ||||
\(777\) | 3.79157e7 | + | 1.29607e8i | 0.00289965 | + | 0.00991183i | ||||
\(778\) | −9.75524e9 | − | 1.34269e10i | −0.742693 | − | 1.02223i | ||||
\(779\) | −2.25949e10 | − | 7.34153e9i | −1.71249 | − | 0.556423i | ||||
\(780\) | −3.80709e7 | + | 4.92696e7i | −0.00287251 | + | 0.00371747i | ||||
\(781\) | −2.27173e10 | + | 1.20769e10i | −1.70639 | + | 0.907146i | ||||
\(782\) | 4.77238e8i | 0.0356871i | ||||||||
\(783\) | 4.56871e9 | − | 5.24084e9i | 0.340117 | − | 0.390153i | ||||
\(784\) | 1.25341e10 | − | 9.10654e9i | 0.928937 | − | 0.674912i | ||||
\(785\) | 7.73890e8 | − | 1.06517e9i | 0.0570999 | − | 0.0785913i | ||||
\(786\) | −2.53298e10 | − | 9.06611e9i | −1.86060 | − | 0.665951i | ||||
\(787\) | 1.77503e10 | − | 5.76741e9i | 1.29806 | − | 0.421764i | 0.423151 | − | 0.906059i | \(-0.360924\pi\) |
0.874905 | + | 0.484295i | \(0.160924\pi\) | |||||||
\(788\) | 3.34421e9 | + | 2.42971e9i | 0.243473 | + | 0.176894i | ||||
\(789\) | −5.63191e8 | + | 1.90493e10i | −0.0408213 | + | 1.38073i | ||||
\(790\) | −6.19623e8 | + | 1.90700e9i | −0.0447129 | + | 0.137612i | ||||
\(791\) | −1.72234e9 | −0.123737 | ||||||||
\(792\) | −9.04056e9 | + | 8.31583e9i | −0.646632 | + | 0.594795i | ||||
\(793\) | −4.63949e9 | −0.330380 | ||||||||
\(794\) | 3.93178e9 | − | 1.21008e10i | 0.278752 | − | 0.857909i | ||||
\(795\) | −2.55140e7 | + | 8.62984e8i | −0.00180092 | + | 0.0609141i | ||||
\(796\) | −4.07397e9 | − | 2.95991e9i | −0.286300 | − | 0.208009i | ||||
\(797\) | −1.85602e10 | + | 6.03059e9i | −1.29861 | + | 0.421945i | −0.875098 | − | 0.483945i | \(-0.839203\pi\) |
−0.423514 | + | 0.905890i | \(0.639203\pi\) | |||||||
\(798\) | −2.04890e9 | − | 7.33348e8i | −0.142729 | − | 0.0510858i | ||||
\(799\) | −4.83716e8 | + | 6.65779e8i | −0.0335488 | + | 0.0461760i | ||||
\(800\) | −4.52014e9 | + | 3.28407e9i | −0.312131 | + | 0.226776i | ||||
\(801\) | 8.76464e8 | − | 1.48098e10i | 0.0602588 | − | 1.01820i | ||||
\(802\) | − | 7.71208e8i | − | 0.0527912i | ||||||
\(803\) | 2.30306e9 | − | 4.72110e9i | 0.156964 | − | 0.321765i | ||||
\(804\) | 1.44152e9 | − | 1.86555e9i | 0.0978194 | − | 0.126593i | ||||
\(805\) | −8.97894e6 | − | 2.91743e6i | −0.000606652 | − | 0.000197113i | ||||
\(806\) | 3.58933e9 | + | 4.94029e9i | 0.241457 | + | 0.332338i | ||||
\(807\) | 2.04214e9 | + | 6.98062e9i | 0.136782 | + | 0.467559i | ||||
\(808\) | −3.42918e9 | − | 1.05539e10i | −0.228692 | − | 0.703840i | ||||
\(809\) | 4.79653e9 | + | 1.47622e10i | 0.318498 | + | 0.980237i | 0.974291 | + | 0.225295i | \(0.0723347\pi\) |
−0.655792 | + | 0.754941i | \(0.727665\pi\) | |||||||
\(810\) | 1.61889e8 | − | 1.36294e9i | 0.0107033 | − | 0.0901112i | ||||
\(811\) | 9.93215e9 | + | 1.36704e10i | 0.653838 | + | 0.899931i | 0.999258 | − | 0.0385172i | \(-0.0122634\pi\) |
−0.345420 | + | 0.938448i | \(0.612263\pi\) | |||||||
\(812\) | 1.36911e8 | + | 4.44851e7i | 0.00897414 | + | 0.00291587i | ||||
\(813\) | −4.72988e9 | − | 3.65480e9i | −0.308697 | − | 0.238532i | ||||
\(814\) | −1.30479e9 | + | 1.35095e9i | −0.0847920 | + | 0.0877920i | ||||
\(815\) | 2.30708e9i | 0.149283i | ||||||||
\(816\) | 3.97801e9 | + | 5.83012e9i | 0.256301 | + | 0.375631i | ||||
\(817\) | −5.67929e9 | + | 4.12625e9i | −0.364349 | + | 0.264715i | ||||
\(818\) | −5.04997e9 | + | 6.95069e9i | −0.322591 | + | 0.444009i | ||||
\(819\) | 3.52566e8 | − | 2.25589e8i | 0.0224257 | − | 0.0143491i | ||||
\(820\) | 2.95062e8 | − | 9.58715e7i | 0.0186881 | − | 0.00607213i | ||||
\(821\) | 8.07168e9 | + | 5.86442e9i | 0.509053 | + | 0.369849i | 0.812464 | − | 0.583011i | \(-0.198126\pi\) |
−0.303411 | + | 0.952860i | \(0.598126\pi\) | |||||||
\(822\) | −9.95798e9 | − | 2.94407e8i | −0.625345 | − | 0.0184883i | ||||
\(823\) | 1.18344e9 | − | 3.64225e9i | 0.0740025 | − | 0.227756i | −0.907213 | − | 0.420672i | \(-0.861794\pi\) |
0.981215 | + | 0.192916i | \(0.0617944\pi\) | |||||||
\(824\) | 1.21891e10 | 0.758974 | ||||||||
\(825\) | −1.11872e10 | − | 1.14630e10i | −0.693640 | − | 0.710740i | ||||
\(826\) | −9.25075e8 | −0.0571145 | ||||||||
\(827\) | 8.33637e9 | − | 2.56567e10i | 0.512516 | − | 1.57736i | −0.275240 | − | 0.961376i | \(-0.588757\pi\) |
0.787756 | − | 0.615987i | \(-0.211243\pi\) | |||||||
\(828\) | −1.69584e8 | + | 2.06551e8i | −0.0103819 | + | 0.0126450i | ||||
\(829\) | 8.50182e9 | + | 6.17693e9i | 0.518288 | + | 0.376558i | 0.815958 | − | 0.578111i | \(-0.196210\pi\) |
−0.297671 | + | 0.954669i | \(0.596210\pi\) | |||||||
\(830\) | −7.84316e8 | + | 2.54840e8i | −0.0476121 | + | 0.0154701i | ||||
\(831\) | −8.38875e9 | + | 2.34373e10i | −0.507100 | + | 1.41679i | ||||
\(832\) | −2.05885e9 | + | 2.83377e9i | −0.123935 | + | 0.170582i | ||||
\(833\) | 5.25382e9 | − | 3.81712e9i | 0.314933 | − | 0.228812i | ||||
\(834\) | −7.30579e9 | + | 4.98490e9i | −0.436100 | + | 0.297560i | ||||
\(835\) | 1.80727e9i | 0.107429i | ||||||||
\(836\) | −8.64421e8 | − | 4.90445e9i | −0.0511686 | − | 0.290314i | ||||
\(837\) | −2.03750e10 | − | 8.68242e9i | −1.20104 | − | 0.511801i | ||||
\(838\) | 1.53955e10 | + | 5.00231e9i | 0.903734 | + | 0.293641i | ||||
\(839\) | −1.04462e10 | − | 1.43780e10i | −0.610650 | − | 0.840488i | 0.385980 | − | 0.922507i | \(-0.373863\pi\) |
−0.996631 | + | 0.0820188i | \(0.973863\pi\) | |||||||
\(840\) | −1.11221e8 | + | 3.25370e7i | −0.00647453 | + | 0.00189409i | ||||
\(841\) | −3.90247e9 | − | 1.20106e10i | −0.226232 | − | 0.696270i | ||||
\(842\) | −5.53171e9 | − | 1.70248e10i | −0.319350 | − | 0.982858i | ||||
\(843\) | 1.38208e10 | − | 4.04321e9i | 0.794580 | − | 0.232450i | ||||
\(844\) | −2.88168e9 | − | 3.96629e9i | −0.164986 | − | 0.227083i | ||||
\(845\) | 1.26909e9 | + | 4.12353e8i | 0.0723594 | + | 0.0235110i | ||||
\(846\) | −2.71027e9 | + | 7.06634e8i | −0.153892 | + | 0.0401234i | ||||
\(847\) | 4.51460e8 | − | 1.57357e9i | 0.0255286 | − | 0.0889802i | ||||
\(848\) | − | 1.51103e10i | − | 0.850920i | ||||||
\(849\) | −1.96968e10 | + | 1.34395e10i | −1.10463 | + | 0.753715i | ||||
\(850\) | −6.17958e9 | + | 4.48973e9i | −0.345138 | + | 0.250758i | ||||
\(851\) | 9.79412e7 | − | 1.34804e8i | 0.00544768 | − | 0.00749809i | ||||
\(852\) | −2.31532e9 | + | 6.46876e9i | −0.128254 | + | 0.358329i | ||||
\(853\) | −8.70100e9 | + | 2.82712e9i | −0.480007 | + | 0.155964i | −0.539019 | − | 0.842294i | \(-0.681205\pi\) |
0.0590123 | + | 0.998257i | \(0.481205\pi\) | |||||||
\(854\) | 1.71311e9 | + | 1.24465e9i | 0.0941203 | + | 0.0683824i | ||||
\(855\) | −1.75371e9 | − | 1.43984e9i | −0.0959570 | − | 0.0787832i | ||||
\(856\) | 5.01055e9 | − | 1.54209e10i | 0.273041 | − | 0.840333i | ||||
\(857\) | 3.07682e10 | 1.66982 | 0.834908 | − | 0.550389i | \(-0.185521\pi\) | ||||
0.834908 | + | 0.550389i | \(0.185521\pi\) | |||||||
\(858\) | 5.15444e9 | + | 2.70587e9i | 0.278597 | + | 0.146252i | ||||
\(859\) | 1.27141e10 | 0.684401 | 0.342200 | − | 0.939627i | \(-0.388828\pi\) | ||||
0.342200 | + | 0.939627i | \(0.388828\pi\) | |||||||
\(860\) | 2.83284e7 | − | 8.71858e7i | 0.00151872 | − | 0.00467414i | ||||
\(861\) | −2.08465e9 | − | 6.16325e7i | −0.111307 | − | 0.00329078i | ||||
\(862\) | 1.80392e10 | + | 1.31063e10i | 0.959273 | + | 0.696953i | ||||
\(863\) | −2.02983e10 | + | 6.59531e9i | −1.07503 | + | 0.349299i | −0.792446 | − | 0.609943i | \(-0.791193\pi\) |
−0.282587 | + | 0.959242i | \(0.591193\pi\) | |||||||
\(864\) | −6.52195e8 | + | 7.33611e9i | −0.0344017 | + | 0.386962i | ||||
\(865\) | −7.57916e8 | + | 1.04318e9i | −0.0398166 | + | 0.0548029i | ||||
\(866\) | −3.29235e8 | + | 2.39203e8i | −0.0172263 | + | 0.0125157i | ||||
\(867\) | −9.14824e9 | − | 1.34075e10i | −0.476728 | − | 0.698686i | ||||
\(868\) | − | 4.58576e8i | − | 0.0238009i | ||||||
\(869\) | 3.05455e10 | + | 4.29514e9i | 1.57899 | + | 0.222028i | ||||
\(870\) | 7.21874e8 | + | 5.57795e8i | 0.0371658 | + | 0.0287182i | ||||
\(871\) | 4.33318e9 | + | 1.40794e9i | 0.222200 | + | 0.0721970i | ||||
\(872\) | 9.88903e9 | + | 1.36111e10i | 0.505064 | + | 0.695160i | ||||
\(873\) | 5.56974e9 | − | 1.42219e10i | 0.283325 | − | 0.723448i | ||||
\(874\) | 8.29787e8 | + | 2.55382e9i | 0.0420414 | + | 0.129390i | ||||
\(875\) | −9.37128e7 | − | 2.88418e8i | −0.00472902 | − | 0.0145544i | ||||
\(876\) | −3.93867e8 | − | 1.34635e9i | −0.0197964 | − | 0.0676695i | ||||
\(877\) | 1.33880e10 | + | 1.84269e10i | 0.670217 | + | 0.922475i | 0.999765 | − | 0.0216640i | \(-0.00689640\pi\) |
−0.329548 | + | 0.944139i | \(0.606896\pi\) | |||||||
\(878\) | 1.42311e10 | + | 4.62396e9i | 0.709589 | + | 0.230560i | ||||
\(879\) | 1.25913e10 | − | 1.62951e10i | 0.625331 | − | 0.809276i | ||||
\(880\) | −1.39683e9 | − | 1.34910e9i | −0.0690963 | − | 0.0667352i | ||||
\(881\) | − | 1.59075e10i | − | 0.783764i | −0.920016 | − | 0.391882i | \(-0.871824\pi\) | ||
0.920016 | − | 0.391882i | \(-0.128176\pi\) | |||||||
\(882\) | 2.20637e10 | + | 1.30577e9i | 1.08278 | + | 0.0640804i | ||||
\(883\) | 1.17406e10 | − | 8.53005e9i | 0.573890 | − | 0.416955i | −0.262627 | − | 0.964898i | \(-0.584589\pi\) |
0.836516 | + | 0.547942i | \(0.184589\pi\) | |||||||
\(884\) | 2.68488e8 | − | 3.69542e8i | 0.0130720 | − | 0.0179921i | ||||
\(885\) | −9.08138e8 | − | 3.25043e8i | −0.0440403 | − | 0.0157630i | ||||
\(886\) | −4.11168e10 | + | 1.33597e10i | −1.98610 | + | 0.645323i | ||||
\(887\) | 2.49411e10 | + | 1.81208e10i | 1.20000 | + | 0.871854i | 0.994285 | − | 0.106757i | \(-0.0340468\pi\) |
0.205719 | + | 0.978611i | \(0.434047\pi\) | |||||||
\(888\) | 6.04410e7 | − | 2.04435e9i | 0.00289659 | − | 0.0979738i | ||||
\(889\) | 7.53851e8 | − | 2.32011e9i | 0.0359856 | − | 0.110752i | ||||
\(890\) | 1.94661e9 | 0.0925581 | ||||||||
\(891\) | −2.10807e10 | + | 1.18673e9i | −0.998419 | + | 0.0562058i | ||||
\(892\) | 3.76828e9 | 0.177773 | ||||||||
\(893\) | −1.43088e9 | + | 4.40380e9i | −0.0672394 | + | 0.206941i | ||||
\(894\) | −5.88208e8 | + | 1.98955e10i | −0.0275327 | + | 0.931264i | ||||
\(895\) | 1.09298e9 | + | 7.94093e8i | 0.0509601 | + | 0.0370247i | ||||
\(896\) | 2.25688e9 | − | 7.33304e8i | 0.104817 | − | 0.0340570i | ||||
\(897\) | −4.86262e8 | − | 1.74044e8i | −0.0224956 | − | 0.00805168i | ||||
\(898\) | −7.28741e9 | + | 1.00303e10i | −0.335820 | + | 0.462216i | ||||
\(899\) | 1.19095e10 | − | 8.65276e9i | 0.546682 | − | 0.397187i | ||||
\(900\) | −4.26995e9 | − | 2.52702e8i | −0.195242 | − | 0.0115547i | ||||
\(901\) | − | 6.33369e9i | − | 0.288483i | ||||||
\(902\) | −1.36161e10 | − | 2.56126e10i | −0.617773 | − | 1.16206i | ||||
\(903\) | −3.76797e8 | + | 4.87634e8i | −0.0170294 | + | 0.0220387i | ||||
\(904\) | 2.48091e10 | + | 8.06097e9i | 1.11692 | + | 0.362909i | ||||
\(905\) | 8.91828e8 | + | 1.22750e9i | 0.0399955 | + | 0.0550491i | ||||
\(906\) | 2.54047e9 | + | 8.68403e9i | 0.113492 | + | 0.387947i | ||||
\(907\) | 8.22011e9 | + | 2.52989e10i | 0.365807 | + | 1.12584i | 0.949474 | + | 0.313845i | \(0.101617\pi\) |
−0.583667 | + | 0.811993i | \(0.698383\pi\) | |||||||
\(908\) | 7.33872e8 | + | 2.25863e9i | 0.0325327 | + | 0.100125i | ||||
\(909\) | 6.95584e9 | − | 1.77612e10i | 0.307168 | − | 0.784328i | ||||
\(910\) | 3.22811e7 | + | 4.44312e7i | 0.00142005 | + | 0.00195453i | ||||
\(911\) | −4.16824e10 | − | 1.35434e10i | −1.82658 | − | 0.593491i | −0.999507 | − | 0.0313921i | \(-0.990006\pi\) |
−0.827070 | − | 0.562099i | \(-0.809994\pi\) | |||||||
\(912\) | 3.14243e10 | + | 2.42817e10i | 1.37178 | + | 1.05998i | ||||
\(913\) | 5.95509e9 | + | 1.12019e10i | 0.258965 | + | 0.487127i | ||||
\(914\) | 9.97936e9i | 0.432306i | ||||||||
\(915\) | 1.24441e9 | + | 1.82380e9i | 0.0537021 | + | 0.0787050i | ||||
\(916\) | 4.35591e9 | − | 3.16475e9i | 0.187260 | − | 0.136052i | ||||
\(917\) | −2.29495e9 | + | 3.15873e9i | −0.0982836 | + | 0.135276i | ||||
\(918\) | −8.91630e8 | + | 1.00294e10i | −0.0380395 | + | 0.427882i | ||||
\(919\) | −5.83126e9 | + | 1.89469e9i | −0.247832 | + | 0.0805256i | −0.430299 | − | 0.902686i | \(-0.641592\pi\) |
0.182467 | + | 0.983212i | \(0.441592\pi\) | |||||||
\(920\) | 1.15681e8 | + | 8.40473e7i | 0.00489785 | + | 0.00355849i | ||||
\(921\) | −3.37532e10 | − | 9.97911e8i | −1.42366 | − | 0.0420904i | ||||
\(922\) | −1.43840e10 | + | 4.42694e10i | −0.604396 | + | 1.86014i | ||||
\(923\) | −1.32778e10 | −0.555803 | ||||||||
\(924\) | −1.93715e8 | − | 3.91911e8i | −0.00807814 | − | 0.0163431i | ||||
\(925\) | 2.66694e9 | 0.110794 | ||||||||
\(926\) | −8.76652e9 | + | 2.69806e10i | −0.362818 | + | 1.11664i | ||||
\(927\) | 1.61932e10 | + | 1.32950e10i | 0.667657 | + | 0.548164i | ||||
\(928\) | −3.96039e9 | − | 2.87739e9i | −0.162675 | − | 0.118190i | ||||
\(929\) | −1.96421e10 | + | 6.38211e9i | −0.803773 | + | 0.261162i | −0.681958 | − | 0.731391i | \(-0.738871\pi\) |
−0.121815 | + | 0.992553i | \(0.538871\pi\) | |||||||
\(930\) | 9.79302e8 | − | 2.73607e9i | 0.0399233 | − | 0.111542i | ||||
\(931\) | 2.14776e10 | − | 2.95614e10i | 0.872291 | − | 1.20061i | ||||
\(932\) | −1.73775e9 | + | 1.26255e9i | −0.0703124 | + | 0.0510849i | ||||
\(933\) | −3.02053e10 | + | 2.06097e10i | −1.21758 | + | 0.830781i | ||||
\(934\) | − | 2.82707e10i | − | 1.13533i | ||||||
\(935\) | −5.85500e8 | − | 5.65493e8i | −0.0234254 | − | 0.0226249i | ||||
\(936\) | −6.13428e9 | + | 1.59936e9i | −0.244511 | + | 0.0637500i | ||||
\(937\) | −1.80918e10 | − | 5.87839e9i | −0.718446 | − | 0.233437i | −0.0730966 | − | 0.997325i | \(-0.523288\pi\) |
−0.645349 | + | 0.763888i | \(0.723288\pi\) | |||||||
\(938\) | −1.22230e9 | − | 1.68235e9i | −0.0483579 | − | 0.0665589i | ||||
\(939\) | 2.61691e10 | − | 7.65563e9i | 1.03148 | − | 0.301753i | ||||
\(940\) | −1.86856e7 | − | 5.75083e7i | −0.000733769 | − | 0.00225831i | ||||
\(941\) | 8.92235e8 | + | 2.74602e9i | 0.0349072 | + | 0.107433i | 0.966992 | − | 0.254807i | \(-0.0820119\pi\) |
−0.932085 | + | 0.362240i | \(0.882012\pi\) | |||||||
\(942\) | −3.15511e10 | + | 9.23011e9i | −1.22981 | + | 0.359773i | ||||
\(943\) | 1.51262e9 | + | 2.08194e9i | 0.0587407 | + | 0.0808497i | ||||
\(944\) | 1.60552e10 | + | 5.21665e9i | 0.621174 | + | 0.201832i | ||||
\(945\) | −1.83245e8 | − | 7.80866e7i | −0.00706353 | − | 0.00300999i | ||||
\(946\) | −8.48755e9 | − | 1.19347e9i | −0.325959 | − | 0.0458346i | ||||
\(947\) | − | 3.82846e10i | − | 1.46487i | −0.680838 | − | 0.732434i | \(-0.738384\pi\) | ||
0.680838 | − | 0.732434i | \(-0.261616\pi\) | |||||||
\(948\) | 6.80437e9 | − | 4.64276e9i | 0.259393 | − | 0.176989i | ||||
\(949\) | 2.19320e9 | − | 1.59345e9i | 0.0833001 | − | 0.0605211i | ||||
\(950\) | −2.52621e10 | + | 3.47703e10i | −0.955954 | + | 1.31576i | ||||
\(951\) | 1.24780e10 | − | 3.48622e10i | 0.470449 | − | 1.31439i | ||||
\(952\) | 8.08515e8 | − | 2.62702e8i | 0.0303710 | − | 0.00986812i | ||||
\(953\) | 2.48361e10 | + | 1.80444e10i | 0.929517 | + | 0.675334i | 0.945875 | − | 0.324532i | \(-0.105207\pi\) |
−0.0163574 | + | 0.999866i | \(0.505207\pi\) | |||||||
\(954\) | 1.36787e10 | − | 1.66605e10i | 0.510067 | − | 0.621255i | ||||
\(955\) | 7.14571e8 | − | 2.19922e9i | 0.0265481 | − | 0.0817067i | ||||
\(956\) | 5.43104e8 | 0.0201039 | ||||||||
\(957\) | 6.52301e9 | − | 1.24258e10i | 0.240578 | − | 0.458280i | ||||
\(958\) | −3.33500e10 | −1.22551 | ||||||||
\(959\) | −4.46777e8 | + | 1.37504e9i | −0.0163578 | + | 0.0503443i | ||||
\(960\) | 1.66619e9 | + | 4.92608e7i | 0.0607822 | + | 0.00179702i | ||||
\(961\) | −1.56797e10 | − | 1.13919e10i | −0.569908 | − | 0.414062i | ||||
\(962\) | −9.21859e8 | + | 2.99530e8i | −0.0333850 | + | 0.0108475i | ||||
\(963\) | 2.34765e10 | − | 1.50214e10i | 0.847114 | − | 0.542025i | ||||
\(964\) | 5.94655e9 | − | 8.18472e9i | 0.213794 | − | 0.294262i | ||||
\(965\) | 2.10307e9 | − | 1.52797e9i | 0.0753370 | − | 0.0547355i | ||||
\(966\) | 1.32859e8 | + | 1.94716e8i | 0.00474210 | + | 0.00694995i | ||||
\(967\) | − | 3.11799e10i | − | 1.10887i | −0.832226 | − | 0.554437i | \(-0.812934\pi\) | ||
0.832226 | − | 0.554437i | \(-0.187066\pi\) | |||||||
\(968\) | −1.38677e10 | + | 2.05532e10i | −0.491405 | + | 0.728310i | ||||
\(969\) | 1.31719e10 | + | 1.01780e10i | 0.465067 | + | 0.359360i | ||||
\(970\) | 1.90599e9 | + | 6.19294e8i | 0.0670532 | + | 0.0217869i | ||||
\(971\) | −5.91639e9 | − | 8.14322e9i | −0.207391 | − | 0.285449i | 0.692632 | − | 0.721291i | \(-0.256451\pi\) |
−0.900023 | + | 0.435842i | \(0.856451\pi\) | |||||||
\(972\) | −3.94977e9 | + | 4.02392e9i | −0.137956 | + | 0.140545i | ||||
\(973\) | 3.96643e8 | + | 1.22074e9i | 0.0138040 | + | 0.0424843i | ||||
\(974\) | −1.92166e10 | − | 5.91428e10i | −0.666379 | − | 2.05090i | ||||
\(975\) | −2.32099e9 | − | 7.93380e9i | −0.0801968 | − | 0.274135i | ||||
\(976\) | −2.27132e10 | − | 3.12621e10i | −0.781996 | − | 1.07633i | ||||
\(977\) | 2.82910e10 | + | 9.19231e9i | 0.970550 | + | 0.315351i | 0.751038 | − | 0.660259i | \(-0.229554\pi\) |
0.219512 | + | 0.975610i | \(0.429554\pi\) | |||||||
\(978\) | 3.52207e10 | − | 4.55811e10i | 1.20396 | − | 1.55811i | ||||
\(979\) | −5.19787e9 | − | 2.94910e10i | −0.177046 | − | 1.00450i | ||||
\(980\) | 4.77166e8i | 0.0161949i | ||||||||
\(981\) | −1.70848e9 | + | 2.88686e10i | −0.0577789 | + | 0.976301i | ||||
\(982\) | 7.07281e9 | − | 5.13870e9i | 0.238343 | − | 0.173166i | ||||
\(983\) | −2.87247e10 | + | 3.95361e10i | −0.964535 | + | 1.32757i | −0.0197753 | + | 0.999804i | \(0.506295\pi\) |
−0.944760 | + | 0.327764i | \(0.893705\pi\) | |||||||
\(984\) | 2.97396e10 | + | 1.06445e10i | 0.995065 | + | 0.356157i | ||||
\(985\) | 3.61561e9 | − | 1.17478e9i | 0.120546 | − | 0.0391679i | ||||
\(986\) | −5.41434e9 | − | 3.93375e9i | −0.179877 | − | 0.130689i | ||||
\(987\) | −1.20123e7 | + | 4.06304e8i | −0.000397665 | + | 0.0134506i | ||||
\(988\) | 7.94214e8 | − | 2.44434e9i | 0.0261992 | − | 0.0806329i | ||||
\(989\) | 7.60404e8 | 0.0249952 | ||||||||
\(990\) | −3.18853e8 | − | 2.75200e9i | −0.0104440 | − | 0.0901416i | ||||
\(991\) | −4.39030e10 | −1.43297 | −0.716484 | − | 0.697604i | \(-0.754250\pi\) | ||||
−0.716484 | + | 0.697604i | \(0.754250\pi\) | |||||||
\(992\) | −4.81884e9 | + | 1.48309e10i | −0.156730 | + | 0.482364i | ||||
\(993\) | 9.83993e8 | − | 3.32825e10i | 0.0318911 | − | 1.07868i | ||||
\(994\) | 4.90278e9 | + | 3.56208e9i | 0.158340 | + | 0.115041i | ||||
\(995\) | −4.40459e9 | + | 1.43114e9i | −0.141750 | + | 0.0460575i | ||||
\(996\) | 3.18973e9 | + | 1.14168e9i | 0.102293 | + | 0.0366130i | ||||
\(997\) | 7.19929e9 | − | 9.90897e9i | 0.230068 | − | 0.316662i | −0.678338 | − | 0.734750i | \(-0.737300\pi\) |
0.908407 | + | 0.418088i | \(0.137300\pi\) | |||||||
\(998\) | −6.16690e9 | + | 4.48051e9i | −0.196386 | + | 0.142683i | ||||
\(999\) | 2.31013e9 | − | 2.64999e9i | 0.0733091 | − | 0.0840940i |
(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 | 33.8.f.a.2.7 | ✓ | 104 | |
3.2 | odd | 2 | inner | 33.8.f.a.2.20 | yes | 104 | |
11.6 | odd | 10 | inner | 33.8.f.a.17.20 | yes | 104 | |
33.17 | even | 10 | inner | 33.8.f.a.17.7 | yes | 104 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.8.f.a.2.7 | ✓ | 104 | 1.1 | even | 1 | trivial | |
33.8.f.a.2.20 | yes | 104 | 3.2 | odd | 2 | inner | |
33.8.f.a.17.7 | yes | 104 | 33.17 | even | 10 | inner | |
33.8.f.a.17.20 | yes | 104 | 11.6 | odd | 10 | inner |