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 | 2.18 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.8.f.a.17.18 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.85991 | − | 8.80190i | 0.252783 | − | 0.777985i | −0.741476 | − | 0.670980i | \(-0.765874\pi\) |
0.994258 | − | 0.107005i | \(-0.0341262\pi\) | |||||||
\(3\) | 28.5969 | − | 37.0030i | 0.611497 | − | 0.791247i | ||||
\(4\) | 34.2599 | + | 24.8913i | 0.267655 | + | 0.194463i | ||||
\(5\) | −118.636 | + | 38.5472i | −0.424446 | + | 0.137911i | −0.513448 | − | 0.858121i | \(-0.671632\pi\) |
0.0890023 | + | 0.996031i | \(0.471632\pi\) | |||||||
\(6\) | −243.912 | − | 357.532i | −0.461002 | − | 0.675749i | ||||
\(7\) | 768.087 | − | 1057.18i | 0.846384 | − | 1.16495i | −0.138264 | − | 0.990395i | \(-0.544152\pi\) |
0.984648 | − | 0.174552i | \(-0.0558477\pi\) | |||||||
\(8\) | 1275.45 | − | 926.669i | 0.880742 | − | 0.639896i | ||||
\(9\) | −551.438 | − | 2116.34i | −0.252143 | − | 0.967690i | ||||
\(10\) | 1154.47i | 0.365074i | ||||||||
\(11\) | −1939.11 | + | 3965.73i | −0.439267 | + | 0.898357i | ||||
\(12\) | 1900.78 | − | 555.905i | 0.317539 | − | 0.0928680i | ||||
\(13\) | −3694.44 | − | 1200.40i | −0.466387 | − | 0.151538i | 0.0663902 | − | 0.997794i | \(-0.478852\pi\) |
−0.532778 | + | 0.846255i | \(0.678852\pi\) | |||||||
\(14\) | −7108.54 | − | 9784.07i | −0.692360 | − | 0.952952i | ||||
\(15\) | −1966.26 | + | 5492.22i | −0.150426 | + | 0.420174i | ||||
\(16\) | −2833.75 | − | 8721.38i | −0.172958 | − | 0.532311i | ||||
\(17\) | −10747.4 | − | 33077.0i | −0.530556 | − | 1.63288i | −0.753060 | − | 0.657951i | \(-0.771423\pi\) |
0.222505 | − | 0.974932i | \(-0.428577\pi\) | |||||||
\(18\) | −20204.8 | − | 1198.84i | −0.816586 | − | 0.0484514i | ||||
\(19\) | 23672.9 | + | 32583.0i | 0.791797 | + | 1.08982i | 0.993882 | + | 0.110447i | \(0.0352283\pi\) |
−0.202085 | + | 0.979368i | \(0.564772\pi\) | |||||||
\(20\) | −5023.95 | − | 1632.38i | −0.140424 | − | 0.0456265i | ||||
\(21\) | −17153.9 | − | 58653.6i | −0.404200 | − | 1.38206i | ||||
\(22\) | 29360.3 | + | 28409.5i | 0.587869 | + | 0.568832i | ||||
\(23\) | 7071.57i | 0.121190i | 0.998162 | + | 0.0605952i | \(0.0192999\pi\) | ||||
−0.998162 | + | 0.0605952i | \(0.980700\pi\) | |||||||
\(24\) | 2184.40 | − | 73695.2i | 0.0322547 | − | 1.08818i | ||||
\(25\) | −50615.8 | + | 36774.5i | −0.647882 | + | 0.470714i | ||||
\(26\) | −21131.5 | + | 29085.0i | −0.235789 | + | 0.324536i | ||||
\(27\) | −94080.1 | − | 40115.8i | −0.919867 | − | 0.392232i | ||||
\(28\) | 52629.2 | − | 17100.2i | 0.453078 | − | 0.147214i | ||||
\(29\) | 151594. | + | 110140.i | 1.15422 | + | 0.838591i | 0.989037 | − | 0.147671i | \(-0.0471777\pi\) |
0.165186 | + | 0.986263i | \(0.447178\pi\) | |||||||
\(30\) | 42718.6 | + | 33014.1i | 0.288864 | + | 0.223242i | ||||
\(31\) | 38067.2 | − | 117159.i | 0.229501 | − | 0.706333i | −0.768302 | − | 0.640088i | \(-0.778898\pi\) |
0.997803 | − | 0.0662452i | \(-0.0211020\pi\) | |||||||
\(32\) | 116929. | 0.630806 | ||||||||
\(33\) | 91291.2 | + | 185160.i | 0.442211 | + | 0.896911i | ||||
\(34\) | −321877. | −1.40447 | ||||||||
\(35\) | −50371.5 | + | 155028.i | −0.198585 | + | 0.611183i | ||||
\(36\) | 33786.1 | − | 86231.5i | 0.120692 | − | 0.308040i | ||||
\(37\) | 280907. | + | 204091.i | 0.911710 | + | 0.662396i | 0.941447 | − | 0.337162i | \(-0.109467\pi\) |
−0.0297367 | + | 0.999558i | \(0.509467\pi\) | |||||||
\(38\) | 354494. | − | 115182.i | 1.04801 | − | 0.340520i | ||||
\(39\) | −150068. | + | 102378.i | −0.405099 | + | 0.276362i | ||||
\(40\) | −115594. | + | 159102.i | −0.285579 | + | 0.393065i | ||||
\(41\) | 386476. | − | 280791.i | 0.875748 | − | 0.636268i | −0.0563750 | − | 0.998410i | \(-0.517954\pi\) |
0.932123 | + | 0.362141i | \(0.117954\pi\) | |||||||
\(42\) | −565321. | − | 16756.7i | −1.17740 | − | 0.0348992i | ||||
\(43\) | 320485.i | 0.614707i | 0.951595 | + | 0.307354i | \(0.0994435\pi\) | ||||
−0.951595 | + | 0.307354i | \(0.900557\pi\) | |||||||
\(44\) | −165146. | + | 87598.5i | −0.292269 | + | 0.155029i | ||||
\(45\) | 146999. | + | 229818.i | 0.240476 | + | 0.375959i | ||||
\(46\) | 62243.2 | + | 20224.0i | 0.0942843 | + | 0.0306348i | ||||
\(47\) | 582947. | + | 802358.i | 0.819005 | + | 1.12726i | 0.989871 | + | 0.141970i | \(0.0453436\pi\) |
−0.170866 | + | 0.985294i | \(0.554656\pi\) | |||||||
\(48\) | −403753. | − | 144547.i | −0.526953 | − | 0.188654i | ||||
\(49\) | −273186. | − | 840779.i | −0.331720 | − | 1.02093i | ||||
\(50\) | 178929. | + | 550687.i | 0.202435 | + | 0.623031i | ||||
\(51\) | −1.53129e6 | − | 548215.i | −1.61645 | − | 0.578702i | ||||
\(52\) | −96691.7 | − | 133085.i | −0.0953625 | − | 0.131255i | ||||
\(53\) | 459085. | + | 149166.i | 0.423572 | + | 0.137627i | 0.513044 | − | 0.858363i | \(-0.328518\pi\) |
−0.0894718 | + | 0.995989i | \(0.528518\pi\) | |||||||
\(54\) | −622156. | + | 713356.i | −0.537677 | + | 0.616493i | ||||
\(55\) | 77181.1 | − | 545227.i | 0.0625520 | − | 0.441883i | ||||
\(56\) | − | 2.06014e6i | − | 1.56762i | ||||||
\(57\) | 1.88264e6 | + | 55803.3i | 1.34649 | + | 0.0399115i | ||||
\(58\) | 1.40298e6 | − | 1.01933e6i | 0.944179 | − | 0.685986i | ||||
\(59\) | 97635.9 | − | 134384.i | 0.0618910 | − | 0.0851857i | −0.776950 | − | 0.629563i | \(-0.783234\pi\) |
0.838841 | + | 0.544377i | \(0.183234\pi\) | |||||||
\(60\) | −204072. | + | 139220.i | −0.121970 | + | 0.0832095i | ||||
\(61\) | −1.35793e6 | + | 441217.i | −0.765988 | + | 0.248885i | −0.665847 | − | 0.746089i | \(-0.731930\pi\) |
−0.100141 | + | 0.994973i | \(0.531930\pi\) | |||||||
\(62\) | −922352. | − | 670128.i | −0.491502 | − | 0.357097i | ||||
\(63\) | −2.66090e6 | − | 1.04256e6i | −1.34072 | − | 0.525303i | ||||
\(64\) | 697125. | − | 2.14553e6i | 0.332415 | − | 1.02307i | ||||
\(65\) | 484566. | 0.218855 | ||||||||
\(66\) | 1.89085e6 | − | 273993.i | 0.809567 | − | 0.117310i | ||||
\(67\) | 791433. | 0.321479 | 0.160739 | − | 0.986997i | \(-0.448612\pi\) | ||||
0.160739 | + | 0.986997i | \(0.448612\pi\) | |||||||
\(68\) | 455125. | − | 1.40073e6i | 0.175529 | − | 0.540223i | ||||
\(69\) | 261669. | + | 202225.i | 0.0958916 | + | 0.0741076i | ||||
\(70\) | 1.22048e6 | + | 886730.i | 0.425292 | + | 0.308993i | ||||
\(71\) | −3.40349e6 | + | 1.10586e6i | −1.12855 | + | 0.366688i | −0.813025 | − | 0.582229i | \(-0.802181\pi\) |
−0.315525 | + | 0.948917i | \(0.602181\pi\) | |||||||
\(72\) | −2.66448e6 | − | 2.18828e6i | −0.841294 | − | 0.690939i | ||||
\(73\) | −2.85632e6 | + | 3.93139e6i | −0.859364 | + | 1.18281i | 0.122357 | + | 0.992486i | \(0.460955\pi\) |
−0.981721 | + | 0.190327i | \(0.939045\pi\) | |||||||
\(74\) | 2.59976e6 | − | 1.88883e6i | 0.745799 | − | 0.541854i | ||||
\(75\) | −86687.2 | + | 2.92457e6i | −0.0237269 | + | 0.800475i | ||||
\(76\) | 1.70554e6i | 0.445670i | ||||||||
\(77\) | 2.70309e6 | + | 5.09602e6i | 0.674750 | + | 1.27208i | ||||
\(78\) | 471937. | + | 1.61367e6i | 0.112604 | + | 0.385020i | ||||
\(79\) | −2.67270e6 | − | 868411.i | −0.609894 | − | 0.198167i | −0.0122460 | − | 0.999925i | \(-0.503898\pi\) |
−0.597648 | + | 0.801758i | \(0.703898\pi\) | |||||||
\(80\) | 672370. | + | 925438.i | 0.146823 | + | 0.202084i | ||||
\(81\) | −4.17480e6 | + | 2.33406e6i | −0.872847 | + | 0.487993i | ||||
\(82\) | −1.36621e6 | − | 4.20476e6i | −0.273633 | − | 0.842157i | ||||
\(83\) | 2.19550e6 | + | 6.75706e6i | 0.421464 | + | 1.29713i | 0.906340 | + | 0.422550i | \(0.138865\pi\) |
−0.484876 | + | 0.874583i | \(0.661135\pi\) | |||||||
\(84\) | 872270. | − | 2.43645e6i | 0.160573 | − | 0.448518i | ||||
\(85\) | 2.55006e6 | + | 3.50985e6i | 0.450385 | + | 0.619901i | ||||
\(86\) | 2.82088e6 | + | 916559.i | 0.478233 | + | 0.155387i | ||||
\(87\) | 8.41061e6 | − | 2.45978e6i | 1.36934 | − | 0.400479i | ||||
\(88\) | 1.20168e6 | + | 6.85500e6i | 0.187974 | + | 1.07231i | ||||
\(89\) | − | 6.45287e6i | − | 0.970259i | −0.874442 | − | 0.485130i | \(-0.838772\pi\) | ||
0.874442 | − | 0.485130i | \(-0.161228\pi\) | |||||||
\(90\) | 2.44324e6 | − | 636616.i | 0.353278 | − | 0.0920510i | ||||
\(91\) | −4.10669e6 | + | 2.98368e6i | −0.571277 | + | 0.415057i | ||||
\(92\) | −176020. | + | 242271.i | −0.0235671 | + | 0.0324373i | ||||
\(93\) | −3.24662e6 | − | 4.75898e6i | −0.418544 | − | 0.613513i | ||||
\(94\) | 8.72945e6 | − | 2.83637e6i | 1.08403 | − | 0.352221i | ||||
\(95\) | −4.06445e6 | − | 2.95299e6i | −0.486372 | − | 0.353370i | ||||
\(96\) | 3.34379e6 | − | 4.32670e6i | 0.385736 | − | 0.499123i | ||||
\(97\) | 2.73967e6 | − | 8.43183e6i | 0.304787 | − | 0.938038i | −0.674969 | − | 0.737846i | \(-0.735843\pi\) |
0.979757 | − | 0.200193i | \(-0.0641568\pi\) | |||||||
\(98\) | −8.18173e6 | −0.878120 | ||||||||
\(99\) | 9.46212e6 | + | 1.91696e6i | 0.980089 | + | 0.198560i | ||||
\(100\) | −2.64946e6 | −0.264946 | ||||||||
\(101\) | 946577. | − | 2.91326e6i | 0.0914179 | − | 0.281355i | −0.894886 | − | 0.446295i | \(-0.852743\pi\) |
0.986304 | + | 0.164940i | \(0.0527431\pi\) | |||||||
\(102\) | −9.20467e6 | + | 1.19104e7i | −0.858831 | + | 1.11129i | ||||
\(103\) | 399170. | + | 290014.i | 0.0359938 | + | 0.0261510i | 0.605637 | − | 0.795741i | \(-0.292918\pi\) |
−0.569643 | + | 0.821892i | \(0.692918\pi\) | |||||||
\(104\) | −5.82444e6 | + | 1.89248e6i | −0.507736 | + | 0.164973i | ||||
\(105\) | 4.29601e6 | + | 6.29720e6i | 0.362162 | + | 0.530866i | ||||
\(106\) | 2.62588e6 | − | 3.61421e6i | 0.214143 | − | 0.294743i | ||||
\(107\) | −2.48380e6 | + | 1.80459e6i | −0.196008 | + | 0.142408i | −0.681460 | − | 0.731855i | \(-0.738655\pi\) |
0.485453 | + | 0.874263i | \(0.338655\pi\) | |||||||
\(108\) | −2.22464e6 | − | 3.71614e6i | −0.169933 | − | 0.283863i | ||||
\(109\) | 1.86372e7i | 1.37844i | 0.724552 | + | 0.689220i | \(0.242047\pi\) | ||||
−0.724552 | + | 0.689220i | \(0.757953\pi\) | |||||||
\(110\) | −4.57830e6 | − | 2.23864e6i | −0.327967 | − | 0.160365i | ||||
\(111\) | 1.55850e7 | − | 4.55803e6i | 1.08163 | − | 0.316335i | ||||
\(112\) | −1.13966e7 | − | 3.70299e6i | −0.766503 | − | 0.249052i | ||||
\(113\) | −7.66214e6 | − | 1.05460e7i | −0.499546 | − | 0.687567i | 0.482567 | − | 0.875859i | \(-0.339705\pi\) |
−0.982113 | + | 0.188293i | \(0.939705\pi\) | |||||||
\(114\) | 5.87534e6 | − | 1.64112e7i | 0.371421 | − | 1.03746i | ||||
\(115\) | −272590. | − | 838944.i | −0.0167135 | − | 0.0514388i | ||||
\(116\) | 2.45208e6 | + | 7.54674e6i | 0.145859 | + | 0.448907i | ||||
\(117\) | −503191. | + | 8.48062e6i | −0.0290457 | + | 0.489528i | ||||
\(118\) | −903607. | − | 1.24371e6i | −0.0506282 | − | 0.0696837i | ||||
\(119\) | −4.32233e7 | − | 1.40441e7i | −2.35128 | − | 0.763976i | ||||
\(120\) | 2.58160e6 | + | 8.82713e6i | 0.136381 | + | 0.466321i | ||||
\(121\) | −1.19669e7 | − | 1.53800e7i | −0.614089 | − | 0.789237i | ||||
\(122\) | 1.32142e7i | 0.658841i | ||||||||
\(123\) | 661899. | − | 2.23305e7i | 0.0320718 | − | 1.08201i | ||||
\(124\) | 4.22041e6 | − | 3.06631e6i | 0.198783 | − | 0.144424i | ||||
\(125\) | 1.03155e7 | − | 1.41981e7i | 0.472396 | − | 0.650198i | ||||
\(126\) | −1.67865e7 | + | 2.04394e7i | −0.747588 | + | 0.910271i | ||||
\(127\) | 8.18922e6 | − | 2.66084e6i | 0.354756 | − | 0.115267i | −0.126217 | − | 0.992003i | \(-0.540284\pi\) |
0.480973 | + | 0.876736i | \(0.340284\pi\) | |||||||
\(128\) | −4.78257e6 | − | 3.47474e6i | −0.201570 | − | 0.146449i | ||||
\(129\) | 1.18589e7 | + | 9.16488e6i | 0.486385 | + | 0.375892i | ||||
\(130\) | 1.38582e6 | − | 4.26510e6i | 0.0553227 | − | 0.170266i | ||||
\(131\) | 5.99854e6 | 0.233129 | 0.116564 | − | 0.993183i | \(-0.462812\pi\) | ||||
0.116564 | + | 0.993183i | \(0.462812\pi\) | |||||||
\(132\) | −1.48125e6 | + | 8.61593e6i | −0.0560557 | + | 0.326057i | ||||
\(133\) | 5.26289e7 | 1.93974 | ||||||||
\(134\) | 2.26343e6 | − | 6.96611e6i | 0.0812643 | − | 0.250106i | ||||
\(135\) | 1.27077e7 | + | 1.13266e6i | 0.444527 | + | 0.0396215i | ||||
\(136\) | −4.43592e7 | − | 3.22288e7i | −1.51216 | − | 1.09865i | ||||
\(137\) | −802947. | + | 260893.i | −0.0266787 | + | 0.00866844i | −0.322326 | − | 0.946629i | \(-0.604465\pi\) |
0.295647 | + | 0.955297i | \(0.404465\pi\) | |||||||
\(138\) | 2.52831e6 | − | 1.72484e6i | 0.0818943 | − | 0.0558691i | ||||
\(139\) | 4.49465e6 | − | 6.18635e6i | 0.141953 | − | 0.195381i | −0.732121 | − | 0.681175i | \(-0.761469\pi\) |
0.874074 | + | 0.485794i | \(0.161469\pi\) | |||||||
\(140\) | −5.58456e6 | + | 4.05742e6i | −0.172005 | + | 0.124969i | ||||
\(141\) | 4.63601e7 | + | 1.37416e6i | 1.39276 | + | 0.0412829i | ||||
\(142\) | 3.31199e7i | 0.970687i | ||||||||
\(143\) | 1.19244e7 | − | 1.23234e7i | 0.341004 | − | 0.352416i | ||||
\(144\) | −1.68947e7 | + | 1.08065e7i | −0.471501 | + | 0.301589i | ||||
\(145\) | −2.22301e7 | − | 7.22301e6i | −0.605556 | − | 0.196757i | ||||
\(146\) | 2.64349e7 | + | 3.63845e7i | 0.702979 | + | 0.967567i | ||||
\(147\) | −3.89235e7 | − | 1.39350e7i | −1.01065 | − | 0.361822i | ||||
\(148\) | 4.54376e6 | + | 1.39843e7i | 0.115213 | + | 0.354588i | ||||
\(149\) | 3.25618e6 | + | 1.00215e7i | 0.0806412 | + | 0.248188i | 0.983246 | − | 0.182281i | \(-0.0583481\pi\) |
−0.902605 | + | 0.430469i | \(0.858348\pi\) | |||||||
\(150\) | 2.54938e7 | + | 9.12702e6i | 0.616760 | + | 0.220805i | ||||
\(151\) | −7.91988e6 | − | 1.09008e7i | −0.187197 | − | 0.257655i | 0.705095 | − | 0.709113i | \(-0.250904\pi\) |
−0.892293 | + | 0.451458i | \(0.850904\pi\) | |||||||
\(152\) | 6.03872e7 | + | 1.96210e7i | 1.39474 | + | 0.453178i | ||||
\(153\) | −6.40756e7 | + | 4.09850e7i | −1.44635 | + | 0.925134i | ||||
\(154\) | 5.25852e7 | − | 9.21814e6i | 1.16022 | − | 0.203386i | ||||
\(155\) | 1.53667e7i | 0.331451i | ||||||||
\(156\) | −7.68961e6 | − | 227928.i | −0.162169 | − | 0.00480686i | ||||
\(157\) | −4.70242e7 | + | 3.41651e7i | −0.969778 | + | 0.704585i | −0.955401 | − | 0.295312i | \(-0.904576\pi\) |
−0.0143769 | + | 0.999897i | \(0.504576\pi\) | |||||||
\(158\) | −1.52873e7 | + | 2.10412e7i | −0.308341 | + | 0.424396i | ||||
\(159\) | 1.86480e7 | − | 1.27218e7i | 0.367910 | − | 0.250992i | ||||
\(160\) | −1.38720e7 | + | 4.50727e6i | −0.267743 | + | 0.0869950i | ||||
\(161\) | 7.47593e6 | + | 5.43158e6i | 0.141180 | + | 0.102574i | ||||
\(162\) | 8.60457e6 | + | 4.34214e7i | 0.159011 | + | 0.802418i | ||||
\(163\) | −1.48509e7 | + | 4.57063e7i | −0.268594 | + | 0.826647i | 0.722250 | + | 0.691632i | \(0.243108\pi\) |
−0.990844 | + | 0.135014i | \(0.956892\pi\) | |||||||
\(164\) | 2.02299e7 | 0.358129 | ||||||||
\(165\) | −1.79679e7 | − | 1.84477e7i | −0.311389 | − | 0.319704i | ||||
\(166\) | 6.57539e7 | 1.11569 | ||||||||
\(167\) | 1.19827e7 | − | 3.68791e7i | 0.199090 | − | 0.612735i | −0.800815 | − | 0.598912i | \(-0.795600\pi\) |
0.999904 | − | 0.0138227i | \(-0.00440004\pi\) | |||||||
\(168\) | −7.62314e7 | − | 5.89137e7i | −1.24037 | − | 0.958592i | ||||
\(169\) | −3.85567e7 | − | 2.80131e7i | −0.614464 | − | 0.446434i | ||||
\(170\) | 3.81863e7 | − | 1.24075e7i | 0.596123 | − | 0.193692i | ||||
\(171\) | 5.59024e7 | − | 6.80673e7i | 0.854957 | − | 1.04100i | ||||
\(172\) | −7.97728e6 | + | 1.09798e7i | −0.119538 | + | 0.164530i | ||||
\(173\) | −2.87826e7 | + | 2.09118e7i | −0.422638 | + | 0.307064i | −0.778698 | − | 0.627399i | \(-0.784120\pi\) |
0.356061 | + | 0.934463i | \(0.384120\pi\) | |||||||
\(174\) | 2.40282e6 | − | 8.10641e7i | 0.0345779 | − | 1.16656i | ||||
\(175\) | 8.17561e7i | 1.15315i | ||||||||
\(176\) | 4.00816e7 | + | 5.67386e6i | 0.554180 | + | 0.0784484i | ||||
\(177\) | −2.18053e6 | − | 7.45579e6i | −0.0295567 | − | 0.101062i | ||||
\(178\) | −5.67975e7 | − | 1.84546e7i | −0.754847 | − | 0.245265i | ||||
\(179\) | −4.02168e7 | − | 5.53536e7i | −0.524109 | − | 0.721374i | 0.462109 | − | 0.886823i | \(-0.347093\pi\) |
−0.986218 | + | 0.165449i | \(0.947093\pi\) | |||||||
\(180\) | −684273. | + | 1.15325e7i | −0.00874532 | + | 0.147391i | ||||
\(181\) | −2.61541e7 | − | 8.04942e7i | −0.327843 | − | 1.00900i | −0.970141 | − | 0.242541i | \(-0.922019\pi\) |
0.642298 | − | 0.766455i | \(-0.277981\pi\) | |||||||
\(182\) | 1.45173e7 | + | 4.46797e7i | 0.178499 | + | 0.549364i | ||||
\(183\) | −2.25061e7 | + | 6.28647e7i | −0.271470 | + | 0.758278i | ||||
\(184\) | 6.55300e6 | + | 9.01943e6i | 0.0775493 | + | 0.106737i | ||||
\(185\) | −4.11929e7 | − | 1.33844e7i | −0.478323 | − | 0.155417i | ||||
\(186\) | −5.11731e7 | + | 1.49662e7i | −0.583104 | + | 0.170536i | ||||
\(187\) | 1.52015e8 | + | 2.15189e7i | 1.69997 | + | 0.240643i | ||||
\(188\) | 4.19990e7i | 0.460985i | ||||||||
\(189\) | −1.14671e8 | + | 6.86473e7i | −1.23549 | + | 0.739618i | ||||
\(190\) | −3.76159e7 | + | 2.73295e7i | −0.397863 | + | 0.289065i | ||||
\(191\) | 9.85004e7 | − | 1.35574e8i | 1.02287 | − | 1.40786i | 0.112701 | − | 0.993629i | \(-0.464050\pi\) |
0.910171 | − | 0.414234i | \(-0.135950\pi\) | |||||||
\(192\) | −5.94553e7 | − | 8.71511e7i | −0.606229 | − | 0.888625i | ||||
\(193\) | 1.51475e8 | − | 4.92171e7i | 1.51666 | − | 0.492794i | 0.571837 | − | 0.820367i | \(-0.306231\pi\) |
0.944826 | + | 0.327573i | \(0.106231\pi\) | |||||||
\(194\) | −6.63809e7 | − | 4.82285e7i | −0.652735 | − | 0.474240i | ||||
\(195\) | 1.38571e7 | − | 1.79304e7i | 0.133829 | − | 0.173168i | ||||
\(196\) | 1.15687e7 | − | 3.56049e7i | 0.109746 | − | 0.337764i | ||||
\(197\) | −8.42793e7 | −0.785397 | −0.392698 | − | 0.919667i | \(-0.628458\pi\) | ||||
−0.392698 | + | 0.919667i | \(0.628458\pi\) | |||||||
\(198\) | 4.39337e7 | − | 7.78023e7i | 0.402226 | − | 0.712302i | ||||
\(199\) | −5.62584e7 | −0.506060 | −0.253030 | − | 0.967458i | \(-0.581427\pi\) | ||||
−0.253030 | + | 0.967458i | \(0.581427\pi\) | |||||||
\(200\) | −3.04801e7 | + | 9.38081e7i | −0.269409 | + | 0.829155i | ||||
\(201\) | 2.26325e7 | − | 2.92854e7i | 0.196583 | − | 0.254369i | ||||
\(202\) | −2.29351e7 | − | 1.66633e7i | −0.195781 | − | 0.142243i | ||||
\(203\) | 2.32875e8 | − | 7.56657e7i | 1.95383 | − | 0.634838i | ||||
\(204\) | −3.88160e7 | − | 5.68975e7i | −0.320115 | − | 0.469232i | ||||
\(205\) | −3.50263e7 | + | 4.82096e7i | −0.283959 | + | 0.390837i | ||||
\(206\) | 3.69426e6 | − | 2.68404e6i | 0.0294437 | − | 0.0213921i | ||||
\(207\) | 1.49658e7 | − | 3.89953e6i | 0.117275 | − | 0.0305574i | ||||
\(208\) | 3.56222e7i | 0.274473i | ||||||||
\(209\) | −1.75120e8 | + | 3.06983e7i | −1.32685 | + | 0.232596i | ||||
\(210\) | 6.77135e7 | − | 1.98036e7i | 0.504554 | − | 0.147563i | ||||
\(211\) | −3.52851e7 | − | 1.14648e7i | −0.258585 | − | 0.0840192i | 0.176856 | − | 0.984237i | \(-0.443407\pi\) |
−0.435440 | + | 0.900218i | \(0.643407\pi\) | |||||||
\(212\) | 1.20153e7 | + | 1.65376e7i | 0.0866080 | + | 0.119206i | ||||
\(213\) | −5.64091e7 | + | 1.57563e8i | −0.399964 | + | 1.11719i | ||||
\(214\) | 8.78034e6 | + | 2.70231e7i | 0.0612439 | + | 0.188489i | ||||
\(215\) | −1.23538e7 | − | 3.80212e7i | −0.0847748 | − | 0.260910i | ||||
\(216\) | −1.57169e8 | + | 3.60154e7i | −1.06115 | + | 0.243164i | ||||
\(217\) | −9.46193e7 | − | 1.30232e8i | −0.628594 | − | 0.865186i | ||||
\(218\) | 1.64043e8 | + | 5.33007e7i | 1.07241 | + | 0.348446i | ||||
\(219\) | 6.37912e7 | + | 2.18118e8i | 0.410399 | + | 1.40326i | ||||
\(220\) | 1.62156e7 | − | 1.67583e7i | 0.102672 | − | 0.106108i | ||||
\(221\) | 1.35102e8i | 0.841956i | ||||||||
\(222\) | 4.45248e6 | − | 1.50213e8i | 0.0273128 | − | 0.921453i | ||||
\(223\) | −3.72908e7 | + | 2.70934e7i | −0.225183 | + | 0.163605i | −0.694656 | − | 0.719342i | \(-0.744444\pi\) |
0.469474 | + | 0.882946i | \(0.344444\pi\) | |||||||
\(224\) | 8.98113e7 | − | 1.23615e8i | 0.533904 | − | 0.734856i | ||||
\(225\) | 1.05739e8 | + | 8.68412e7i | 0.618864 | + | 0.508262i | ||||
\(226\) | −1.14738e8 | + | 3.72807e7i | −0.661193 | + | 0.214835i | ||||
\(227\) | −2.25195e7 | − | 1.63614e7i | −0.127782 | − | 0.0928387i | 0.522059 | − | 0.852910i | \(-0.325164\pi\) |
−0.649840 | + | 0.760071i | \(0.725164\pi\) | |||||||
\(228\) | 6.31099e7 | + | 4.87730e7i | 0.352635 | + | 0.272526i | ||||
\(229\) | 8.27596e7 | − | 2.54708e8i | 0.455401 | − | 1.40158i | −0.415263 | − | 0.909701i | \(-0.636310\pi\) |
0.870664 | − | 0.491879i | \(-0.163690\pi\) | |||||||
\(230\) | −8.16388e6 | −0.0442435 | ||||||||
\(231\) | 2.65868e8 | + | 4.57080e7i | 1.41913 | + | 0.243978i | ||||
\(232\) | 2.95414e8 | 1.55318 | ||||||||
\(233\) | −9.32649e7 | + | 2.87040e8i | −0.483028 | + | 1.48661i | 0.351788 | + | 0.936080i | \(0.385574\pi\) |
−0.834816 | + | 0.550529i | \(0.814426\pi\) | |||||||
\(234\) | 7.32065e7 | + | 2.86828e7i | 0.373503 | + | 0.146341i | ||||
\(235\) | −1.00087e8 | − | 7.27177e7i | −0.503085 | − | 0.365513i | ||||
\(236\) | 6.68999e6 | − | 2.17371e6i | 0.0331309 | − | 0.0107649i | ||||
\(237\) | −1.08565e8 | + | 7.40638e7i | −0.529747 | + | 0.361399i | ||||
\(238\) | −2.47230e8 | + | 3.40282e8i | −1.18872 | + | 1.63614i | ||||
\(239\) | 3.97426e6 | − | 2.88747e6i | 0.0188306 | − | 0.0136812i | −0.578330 | − | 0.815803i | \(-0.696295\pi\) |
0.597161 | + | 0.802122i | \(0.296295\pi\) | |||||||
\(240\) | 5.34716e7 | + | 1.58495e6i | 0.249680 | + | 0.00740077i | ||||
\(241\) | 2.90637e8i | 1.33749i | 0.743490 | + | 0.668747i | \(0.233169\pi\) | ||||
−0.743490 | + | 0.668747i | \(0.766831\pi\) | |||||||
\(242\) | −1.69597e8 | + | 6.13456e7i | −0.769245 | + | 0.278247i | ||||
\(243\) | −3.30193e7 | + | 2.21227e8i | −0.147620 | + | 0.989044i | ||||
\(244\) | −5.75049e7 | − | 1.86845e7i | −0.253420 | − | 0.0823410i | ||||
\(245\) | 6.48194e7 | + | 8.92163e7i | 0.281594 | + | 0.387581i | ||||
\(246\) | −1.94658e8 | − | 6.96892e7i | −0.833680 | − | 0.298465i | ||||
\(247\) | −4.83456e7 | − | 1.48793e8i | −0.204135 | − | 0.628264i | ||||
\(248\) | −6.00146e7 | − | 1.84706e8i | −0.249848 | − | 0.768954i | ||||
\(249\) | 3.12816e8 | + | 1.11991e8i | 1.28408 | + | 0.459711i | ||||
\(250\) | −9.54688e7 | − | 1.31402e8i | −0.386431 | − | 0.531876i | ||||
\(251\) | −7.60279e7 | − | 2.47030e7i | −0.303469 | − | 0.0986032i | 0.153324 | − | 0.988176i | \(-0.451002\pi\) |
−0.456793 | + | 0.889573i | \(0.651002\pi\) | |||||||
\(252\) | −6.52116e7 | − | 1.01951e8i | −0.256698 | − | 0.401320i | ||||
\(253\) | −2.80439e7 | − | 1.37126e7i | −0.108872 | − | 0.0532350i | ||||
\(254\) | − | 7.96904e7i | − | 0.305132i | ||||||
\(255\) | 2.02798e8 | + | 6.01115e6i | 0.765904 | + | 0.0227022i | ||||
\(256\) | 1.89350e8 | − | 1.37571e8i | 0.705385 | − | 0.512492i | ||||
\(257\) | 2.77774e6 | − | 3.82324e6i | 0.0102077 | − | 0.0140496i | −0.803883 | − | 0.594788i | \(-0.797236\pi\) |
0.814090 | + | 0.580738i | \(0.197236\pi\) | |||||||
\(258\) | 1.14584e8 | − | 7.81701e7i | 0.415388 | − | 0.283382i | ||||
\(259\) | 4.31522e8 | − | 1.40210e8i | 1.54331 | − | 0.501453i | ||||
\(260\) | 1.66012e7 | + | 1.20615e7i | 0.0585777 | + | 0.0425592i | ||||
\(261\) | 1.49498e8 | − | 3.81559e8i | 0.520467 | − | 1.32837i | ||||
\(262\) | 1.71553e7 | − | 5.27985e7i | 0.0589309 | − | 0.181371i | ||||
\(263\) | −3.08647e8 | −1.04621 | −0.523103 | − | 0.852270i | \(-0.675226\pi\) | ||||
−0.523103 | + | 0.852270i | \(0.675226\pi\) | |||||||
\(264\) | 2.88020e8 | + | 1.51566e8i | 0.963404 | + | 0.506977i | ||||
\(265\) | −6.02140e7 | −0.198764 | ||||||||
\(266\) | 1.50514e8 | − | 4.63234e8i | 0.490333 | − | 1.50909i | ||||
\(267\) | −2.38775e8 | − | 1.84532e8i | −0.767715 | − | 0.593310i | ||||
\(268\) | 2.71144e7 | + | 1.96998e7i | 0.0860456 | + | 0.0625158i | ||||
\(269\) | −3.46790e8 | + | 1.12679e8i | −1.08626 | + | 0.352947i | −0.796800 | − | 0.604243i | \(-0.793476\pi\) |
−0.289460 | + | 0.957190i | \(0.593476\pi\) | |||||||
\(270\) | 4.63123e7 | − | 1.08612e8i | 0.143194 | − | 0.335819i | ||||
\(271\) | 2.12175e7 | − | 2.92034e7i | 0.0647594 | − | 0.0891336i | −0.775409 | − | 0.631460i | \(-0.782456\pi\) |
0.840168 | + | 0.542326i | \(0.182456\pi\) | |||||||
\(272\) | −2.58022e8 | + | 1.87464e8i | −0.777437 | + | 0.564841i | ||||
\(273\) | −7.03332e6 | + | 2.37284e8i | −0.0209214 | + | 0.705827i | ||||
\(274\) | 7.81359e6i | 0.0229469i | ||||||||
\(275\) | −4.76881e7 | − | 2.72038e8i | −0.138276 | − | 0.788798i | ||||
\(276\) | 3.93112e6 | + | 1.34415e7i | 0.0112547 | + | 0.0384826i | ||||
\(277\) | −1.46526e8 | − | 4.76092e7i | −0.414224 | − | 0.134590i | 0.0944884 | − | 0.995526i | \(-0.469878\pi\) |
−0.508713 | + | 0.860936i | \(0.669878\pi\) | |||||||
\(278\) | −4.15973e7 | − | 5.72538e7i | −0.116120 | − | 0.159826i | ||||
\(279\) | −2.68940e8 | − | 1.59573e7i | −0.741378 | − | 0.0439891i | ||||
\(280\) | 7.94129e7 | + | 2.44408e8i | 0.216191 | + | 0.665368i | ||||
\(281\) | 1.75286e8 | + | 5.39474e8i | 0.471275 | + | 1.45044i | 0.850916 | + | 0.525302i | \(0.176048\pi\) |
−0.379641 | + | 0.925134i | \(0.623952\pi\) | |||||||
\(282\) | 1.44681e8 | − | 4.04127e8i | 0.384184 | − | 1.07311i | ||||
\(283\) | 3.29820e8 | + | 4.53958e8i | 0.865015 | + | 1.19059i | 0.980350 | + | 0.197265i | \(0.0632059\pi\) |
−0.115335 | + | 0.993327i | \(0.536794\pi\) | |||||||
\(284\) | −1.44130e8 | − | 4.68305e7i | −0.373370 | − | 0.121315i | ||||
\(285\) | −2.25500e8 | + | 6.59502e7i | −0.577018 | + | 0.168756i | ||||
\(286\) | −7.43670e7 | − | 1.40201e8i | −0.187975 | − | 0.354381i | ||||
\(287\) | − | 6.24248e8i | − | 1.55873i | ||||||
\(288\) | −6.44788e7 | − | 2.47460e8i | −0.159054 | − | 0.610424i | ||||
\(289\) | −6.46612e8 | + | 4.69791e8i | −1.57580 | + | 1.14489i | ||||
\(290\) | −1.27152e8 | + | 1.75010e8i | −0.306148 | + | 0.421376i | ||||
\(291\) | −2.33657e8 | − | 3.42500e8i | −0.555844 | − | 0.814769i | ||||
\(292\) | −1.95715e8 | + | 6.35915e7i | −0.460027 | + | 0.149472i | ||||
\(293\) | −4.62701e8 | − | 3.36172e8i | −1.07464 | − | 0.780774i | −0.0979016 | − | 0.995196i | \(-0.531213\pi\) |
−0.976741 | + | 0.214423i | \(0.931213\pi\) | |||||||
\(294\) | −2.33972e8 | + | 3.02748e8i | −0.536968 | + | 0.694810i | ||||
\(295\) | −6.40301e6 | + | 1.97064e7i | −0.0145214 | + | 0.0446921i | ||||
\(296\) | 5.47408e8 | 1.22685 | ||||||||
\(297\) | 3.41521e8 | − | 2.95307e8i | 0.756431 | − | 0.654074i | ||||
\(298\) | 9.75206e7 | 0.213471 | ||||||||
\(299\) | 8.48868e6 | − | 2.61255e7i | 0.0183650 | − | 0.0565217i | ||||
\(300\) | −7.57661e7 | + | 9.80377e7i | −0.162013 | + | 0.209637i | ||||
\(301\) | 3.38811e8 | + | 2.46161e8i | 0.716102 | + | 0.520278i | ||||
\(302\) | −1.18598e8 | + | 3.85347e7i | −0.247772 | + | 0.0805060i | ||||
\(303\) | −8.07303e7 | − | 1.18336e8i | −0.166720 | − | 0.244382i | ||||
\(304\) | 2.17085e8 | − | 2.98792e8i | 0.443172 | − | 0.609975i | ||||
\(305\) | 1.44092e8 | − | 1.04689e8i | 0.290797 | − | 0.211276i | ||||
\(306\) | 1.77495e8 | + | 6.81200e8i | 0.354129 | + | 1.35910i | ||||
\(307\) | − | 6.28084e8i | − | 1.23889i | −0.785040 | − | 0.619446i | \(-0.787357\pi\) | ||
0.785040 | − | 0.619446i | \(-0.212643\pi\) | |||||||
\(308\) | −3.42389e7 | + | 2.41872e8i | −0.0667717 | + | 0.471692i | ||||
\(309\) | 2.21464e7 | − | 6.47698e6i | 0.0427020 | − | 0.0124887i | ||||
\(310\) | 1.35256e8 | + | 4.39473e7i | 0.257864 | + | 0.0837850i | ||||
\(311\) | 3.18794e8 | + | 4.38782e8i | 0.600964 | + | 0.827155i | 0.995796 | − | 0.0915977i | \(-0.0291974\pi\) |
−0.394833 | + | 0.918753i | \(0.629197\pi\) | |||||||
\(312\) | −9.65336e7 | + | 2.69640e8i | −0.179944 | + | 0.502625i | ||||
\(313\) | 7.69554e7 | + | 2.36844e8i | 0.141851 | + | 0.436574i | 0.996593 | − | 0.0824805i | \(-0.0262842\pi\) |
−0.854741 | + | 0.519054i | \(0.826284\pi\) | |||||||
\(314\) | 1.66232e8 | + | 5.11611e8i | 0.303013 | + | 0.932579i | ||||
\(315\) | 3.55868e8 | + | 2.11151e7i | 0.641507 | + | 0.0380633i | ||||
\(316\) | −6.99504e7 | − | 9.62784e7i | −0.124705 | − | 0.171642i | ||||
\(317\) | −8.14013e8 | − | 2.64489e8i | −1.43524 | − | 0.466337i | −0.514828 | − | 0.857293i | \(-0.672144\pi\) |
−0.920409 | + | 0.390956i | \(0.872144\pi\) | |||||||
\(318\) | −5.86446e7 | − | 2.00521e8i | −0.102267 | − | 0.349675i | ||||
\(319\) | −7.30742e8 | + | 3.87608e8i | −1.26037 | + | 0.668537i | ||||
\(320\) | 2.81410e8i | 0.480081i | ||||||||
\(321\) | −4.25389e6 | + | 1.43514e8i | −0.00717824 | + | 0.242173i | ||||
\(322\) | 6.91887e7 | − | 5.02685e7i | 0.115489 | − | 0.0839075i | ||||
\(323\) | 8.23325e8 | − | 1.13321e9i | 1.35945 | − | 1.87112i | ||||
\(324\) | −2.01126e8 | − | 2.39516e7i | −0.328519 | − | 0.0391225i | ||||
\(325\) | 2.31141e8 | − | 7.51022e7i | 0.373495 | − | 0.121356i | ||||
\(326\) | 3.59830e8 | + | 2.61432e8i | 0.575223 | + | 0.417924i | ||||
\(327\) | 6.89632e8 | + | 5.32966e8i | 1.09069 | + | 0.842912i | ||||
\(328\) | 2.32730e8 | − | 7.16271e8i | 0.364162 | − | 1.12078i | ||||
\(329\) | 1.29599e9 | 2.00640 | ||||||||
\(330\) | −2.13761e8 | + | 1.05392e8i | −0.327439 | + | 0.161440i | ||||
\(331\) | −6.72995e7 | −0.102003 | −0.0510016 | − | 0.998699i | \(-0.516241\pi\) | ||||
−0.0510016 | + | 0.998699i | \(0.516241\pi\) | |||||||
\(332\) | −9.29741e7 | + | 2.86145e8i | −0.139437 | + | 0.429144i | ||||
\(333\) | 2.77023e8 | − | 7.07038e8i | 0.411112 | − | 1.04927i | ||||
\(334\) | −2.90336e8 | − | 2.10942e8i | −0.426372 | − | 0.309777i | ||||
\(335\) | −9.38927e7 | + | 3.05076e7i | −0.136450 | + | 0.0443354i | ||||
\(336\) | −4.62930e8 | + | 3.15815e8i | −0.665776 | + | 0.454199i | ||||
\(337\) | 3.01727e8 | − | 4.15292e8i | 0.429447 | − | 0.591083i | −0.538379 | − | 0.842703i | \(-0.680963\pi\) |
0.967826 | + | 0.251619i | \(0.0809631\pi\) | |||||||
\(338\) | −3.56837e8 | + | 2.59257e8i | −0.502645 | + | 0.365193i | ||||
\(339\) | −6.09348e8 | − | 1.80617e7i | −0.849506 | − | 0.0251802i | ||||
\(340\) | 1.83721e8i | 0.253503i | ||||||||
\(341\) | 3.90804e8 | + | 3.78149e8i | 0.533726 | + | 0.516443i | ||||
\(342\) | −4.39246e8 | − | 6.86714e8i | −0.593767 | − | 0.928291i | ||||
\(343\) | −7.51938e7 | − | 2.44319e7i | −0.100613 | − | 0.0326910i | ||||
\(344\) | 2.96984e8 | + | 4.08763e8i | 0.393349 | + | 0.541398i | ||||
\(345\) | −3.88386e7 | − | 1.39046e7i | −0.0509210 | − | 0.0182302i | ||||
\(346\) | 1.01748e8 | + | 3.13147e8i | 0.132056 | + | 0.406426i | ||||
\(347\) | 5.07280e7 | + | 1.56125e8i | 0.0651771 | + | 0.200594i | 0.978342 | − | 0.206997i | \(-0.0663689\pi\) |
−0.913165 | + | 0.407591i | \(0.866369\pi\) | |||||||
\(348\) | 3.49374e8 | + | 1.25079e8i | 0.444388 | + | 0.159095i | ||||
\(349\) | −2.55280e8 | − | 3.51363e8i | −0.321461 | − | 0.442452i | 0.617452 | − | 0.786609i | \(-0.288165\pi\) |
−0.938912 | + | 0.344156i | \(0.888165\pi\) | |||||||
\(350\) | 7.19609e8 | + | 2.33815e8i | 0.897136 | + | 0.291497i | ||||
\(351\) | 2.99419e8 | + | 2.61139e8i | 0.369576 | + | 0.322327i | ||||
\(352\) | −2.26738e8 | + | 4.63707e8i | −0.277092 | + | 0.566689i | ||||
\(353\) | 1.14611e9i | 1.38680i | 0.720554 | + | 0.693399i | \(0.243887\pi\) | ||||
−0.720554 | + | 0.693399i | \(0.756113\pi\) | |||||||
\(354\) | −7.18612e7 | − | 2.13004e6i | −0.0860960 | − | 0.00255197i | ||||
\(355\) | 3.61150e8 | − | 2.62391e8i | 0.428438 | − | 0.311278i | ||||
\(356\) | 1.60620e8 | − | 2.21075e8i | 0.188680 | − | 0.259695i | ||||
\(357\) | −1.75573e9 | + | 1.19777e9i | −2.04229 | + | 1.39327i | ||||
\(358\) | −6.02233e8 | + | 1.95677e8i | −0.693704 | + | 0.225398i | ||||
\(359\) | −1.54231e8 | − | 1.12056e8i | −0.175931 | − | 0.127821i | 0.496335 | − | 0.868131i | \(-0.334679\pi\) |
−0.672266 | + | 0.740310i | \(0.734679\pi\) | |||||||
\(360\) | 4.00456e8 | + | 1.56901e8i | 0.452372 | + | 0.177243i | ||||
\(361\) | −2.25021e8 | + | 6.92544e8i | −0.251738 | + | 0.774769i | ||||
\(362\) | −7.83300e8 | −0.867857 | ||||||||
\(363\) | −9.11320e8 | + | 2.98926e6i | −0.999995 | + | 0.00328013i | ||||
\(364\) | −2.14962e8 | −0.233619 | ||||||||
\(365\) | 1.87319e8 | − | 5.76509e8i | 0.201631 | − | 0.620556i | ||||
\(366\) | 4.88963e8 | + | 3.77884e8i | 0.521306 | + | 0.402879i | ||||
\(367\) | 5.22092e8 | + | 3.79322e8i | 0.551335 | + | 0.400569i | 0.828278 | − | 0.560318i | \(-0.189321\pi\) |
−0.276942 | + | 0.960887i | \(0.589321\pi\) | |||||||
\(368\) | 6.16738e7 | − | 2.00390e7i | 0.0645110 | − | 0.0209609i | ||||
\(369\) | −8.07367e8 | − | 6.63075e8i | −0.836524 | − | 0.687022i | ||||
\(370\) | −2.35616e8 | + | 3.24298e8i | −0.241824 | + | 0.332842i | ||||
\(371\) | 5.10312e8 | − | 3.70763e8i | 0.518832 | − | 0.376954i | ||||
\(372\) | 7.22810e6 | − | 2.43855e8i | 0.00727987 | − | 0.245601i | ||||
\(373\) | − | 1.34430e9i | − | 1.34127i | −0.741788 | − | 0.670635i | \(-0.766022\pi\) | ||
0.741788 | − | 0.670635i | \(-0.233978\pi\) | |||||||
\(374\) | 6.24156e8 | − | 1.27648e9i | 0.616939 | − | 1.26172i | ||||
\(375\) | −2.30380e8 | − | 7.87727e8i | −0.225598 | − | 0.771376i | ||||
\(376\) | 1.48704e9 | + | 4.83169e8i | 1.44266 | + | 0.468750i | ||||
\(377\) | −4.27844e8 | − | 5.88877e8i | −0.411236 | − | 0.566017i | ||||
\(378\) | 2.76277e8 | + | 1.20565e9i | 0.263101 | + | 1.14815i | ||||
\(379\) | 9.44895e7 | + | 2.90809e8i | 0.0891551 | + | 0.274391i | 0.985686 | − | 0.168589i | \(-0.0539211\pi\) |
−0.896531 | + | 0.442980i | \(0.853921\pi\) | |||||||
\(380\) | −6.57438e7 | − | 2.02338e8i | −0.0614627 | − | 0.189163i | ||||
\(381\) | 1.35727e8 | − | 3.79117e8i | 0.125727 | − | 0.351185i | ||||
\(382\) | −9.11608e8 | − | 1.25472e9i | −0.836732 | − | 1.15166i | ||||
\(383\) | −6.85730e8 | − | 2.22807e8i | −0.623673 | − | 0.202644i | −0.0199028 | − | 0.999802i | \(-0.506336\pi\) |
−0.603771 | + | 0.797158i | \(0.706336\pi\) | |||||||
\(384\) | −2.65342e8 | + | 7.76025e7i | −0.239137 | + | 0.0699385i | ||||
\(385\) | −5.17122e8 | − | 5.00376e8i | −0.461828 | − | 0.446873i | ||||
\(386\) | − | 1.47402e9i | − | 1.30451i | ||||||
\(387\) | 6.78255e8 | − | 1.76728e8i | 0.594846 | − | 0.154994i | ||||
\(388\) | 3.03739e8 | − | 2.20680e8i | 0.263992 | − | 0.191801i | ||||
\(389\) | −1.19824e9 | + | 1.64924e9i | −1.03210 | + | 1.42056i | −0.128737 | + | 0.991679i | \(0.541092\pi\) |
−0.903361 | + | 0.428882i | \(0.858908\pi\) | |||||||
\(390\) | −1.18191e8 | − | 1.73248e8i | −0.100893 | − | 0.147891i | ||||
\(391\) | 2.33906e8 | − | 7.60008e7i | 0.197890 | − | 0.0642983i | ||||
\(392\) | −1.12756e9 | − | 8.19219e8i | −0.945448 | − | 0.686908i | ||||
\(393\) | 1.71540e8 | − | 2.21964e8i | 0.142558 | − | 0.184463i | ||||
\(394\) | −2.41031e8 | + | 7.41817e8i | −0.198535 | + | 0.611027i | ||||
\(395\) | 3.50553e8 | 0.286197 | ||||||||
\(396\) | 2.76456e8 | + | 3.01199e8i | 0.223714 | + | 0.243737i | ||||
\(397\) | 6.46145e8 | 0.518278 | 0.259139 | − | 0.965840i | \(-0.416561\pi\) | ||||
0.259139 | + | 0.965840i | \(0.416561\pi\) | |||||||
\(398\) | −1.60894e8 | + | 4.95181e8i | −0.127923 | + | 0.393707i | ||||
\(399\) | 1.50502e9 | − | 1.94743e9i | 1.18615 | − | 1.53481i | ||||
\(400\) | 4.64157e8 | + | 3.37230e8i | 0.362623 | + | 0.263461i | ||||
\(401\) | 2.02599e9 | − | 6.58283e8i | 1.56903 | − | 0.509809i | 0.609830 | − | 0.792533i | \(-0.291238\pi\) |
0.959201 | + | 0.282724i | \(0.0912379\pi\) | |||||||
\(402\) | −1.93040e8 | − | 2.82963e8i | −0.148203 | − | 0.217239i | ||||
\(403\) | −2.81274e8 | + | 3.87141e8i | −0.214073 | + | 0.294646i | ||||
\(404\) | 1.04944e8 | − | 7.62466e7i | 0.0791817 | − | 0.0575289i | ||||
\(405\) | 4.05311e8 | − | 4.37831e8i | 0.303177 | − | 0.327502i | ||||
\(406\) | − | 2.26614e9i | − | 1.68053i | ||||||
\(407\) | −1.35408e9 | + | 7.18246e8i | −0.995552 | + | 0.528072i | ||||
\(408\) | −2.46110e9 | + | 7.19777e8i | −1.79398 | + | 0.524671i | ||||
\(409\) | 9.05029e8 | + | 2.94062e8i | 0.654080 | + | 0.212524i | 0.617212 | − | 0.786797i | \(-0.288262\pi\) |
0.0368678 | + | 0.999320i | \(0.488262\pi\) | |||||||
\(410\) | 3.24164e8 | + | 4.46173e8i | 0.232285 | + | 0.319713i | ||||
\(411\) | −1.33080e7 | + | 3.71722e7i | −0.00945507 | + | 0.0264102i | ||||
\(412\) | 6.45670e6 | + | 1.98717e7i | 0.00454852 | + | 0.0139989i | ||||
\(413\) | −6.70757e7 | − | 2.06438e8i | −0.0468533 | − | 0.144200i | ||||
\(414\) | 8.47766e6 | − | 1.42880e8i | 0.00587185 | − | 0.0989624i | ||||
\(415\) | −5.20932e8 | − | 7.17002e8i | −0.357777 | − | 0.492438i | ||||
\(416\) | −4.31985e8 | − | 1.40361e8i | −0.294200 | − | 0.0955913i | ||||
\(417\) | −1.00380e8 | − | 3.43226e8i | −0.0677911 | − | 0.231795i | ||||
\(418\) | −2.30623e8 | + | 1.62918e9i | −0.154449 | + | 1.09107i | ||||
\(419\) | − | 3.64122e8i | − | 0.241823i | −0.992663 | − | 0.120911i | \(-0.961418\pi\) | ||
0.992663 | − | 0.120911i | \(-0.0385817\pi\) | |||||||
\(420\) | −9.56440e6 | + | 3.22675e8i | −0.00629920 | + | 0.212516i | ||||
\(421\) | −1.86726e9 | + | 1.35664e9i | −1.21960 | + | 0.886090i | −0.996067 | − | 0.0886061i | \(-0.971759\pi\) |
−0.223532 | + | 0.974697i | \(0.571759\pi\) | |||||||
\(422\) | −2.01824e8 | + | 2.77787e8i | −0.130731 | + | 0.179936i | ||||
\(423\) | 1.37660e9 | − | 1.67616e9i | 0.884335 | − | 1.07678i | ||||
\(424\) | 7.23766e8 | − | 2.35166e8i | 0.461124 | − | 0.149828i | ||||
\(425\) | 1.76038e9 | + | 1.27899e9i | 1.11236 | + | 0.808176i | ||||
\(426\) | 1.22553e9 | + | 9.47124e8i | 0.768053 | + | 0.593572i | ||||
\(427\) | −5.76560e8 | + | 1.77447e9i | −0.358382 | + | 1.10299i | ||||
\(428\) | −1.30013e8 | −0.0801557 | ||||||||
\(429\) | −1.15004e8 | − | 7.93649e8i | −0.0703254 | − | 0.485320i | ||||
\(430\) | −3.69989e8 | −0.224414 | ||||||||
\(431\) | −5.94943e8 | + | 1.83105e9i | −0.357936 | + | 1.10161i | 0.596352 | + | 0.802723i | \(0.296616\pi\) |
−0.954288 | + | 0.298890i | \(0.903384\pi\) | |||||||
\(432\) | −8.32658e7 | + | 9.34187e8i | −0.0496905 | + | 0.557494i | ||||
\(433\) | 2.33736e9 | + | 1.69819e9i | 1.38362 | + | 1.00526i | 0.996531 | + | 0.0832208i | \(0.0265207\pi\) |
0.387093 | + | 0.922041i | \(0.373479\pi\) | |||||||
\(434\) | −1.41689e9 | + | 4.60376e8i | −0.831999 | + | 0.270333i | ||||
\(435\) | −9.02985e8 | + | 6.16025e8i | −0.525979 | + | 0.358828i | ||||
\(436\) | −4.63904e8 | + | 6.38508e8i | −0.268056 | + | 0.368947i | ||||
\(437\) | −2.30413e8 | + | 1.67405e8i | −0.132075 | + | 0.0959582i | ||||
\(438\) | 2.10229e9 | + | 6.23139e7i | 1.19545 | + | 0.0354344i | ||||
\(439\) | − | 2.46884e9i | − | 1.39273i | −0.717688 | − | 0.696365i | \(-0.754800\pi\) | ||
0.717688 | − | 0.696365i | \(-0.245200\pi\) | |||||||
\(440\) | −4.06804e8 | − | 7.66931e8i | −0.227667 | − | 0.429212i | ||||
\(441\) | −1.62873e9 | + | 1.04179e9i | −0.904301 | + | 0.578422i | ||||
\(442\) | 1.18915e9 | + | 3.86380e8i | 0.655029 | + | 0.212832i | ||||
\(443\) | 8.46287e8 | + | 1.16481e9i | 0.462493 | + | 0.636566i | 0.975023 | − | 0.222102i | \(-0.0712920\pi\) |
−0.512531 | + | 0.858669i | \(0.671292\pi\) | |||||||
\(444\) | 6.47397e8 | + | 2.31774e8i | 0.351019 | + | 0.125668i | ||||
\(445\) | 2.48740e8 | + | 7.65544e8i | 0.133809 | + | 0.411823i | ||||
\(446\) | 1.31825e8 | + | 4.05714e8i | 0.0703598 | + | 0.216545i | ||||
\(447\) | 4.63942e8 | + | 1.66095e8i | 0.245690 | + | 0.0879591i | ||||
\(448\) | −1.73276e9 | − | 2.38494e9i | −0.910470 | − | 1.25315i | ||||
\(449\) | −6.72541e8 | − | 2.18522e8i | −0.350636 | − | 0.113929i | 0.128403 | − | 0.991722i | \(-0.459015\pi\) |
−0.479039 | + | 0.877793i | \(0.659015\pi\) | |||||||
\(450\) | 1.06677e9 | − | 6.82343e8i | 0.551858 | − | 0.352987i | ||||
\(451\) | 3.64122e8 | + | 2.07715e9i | 0.186908 | + | 1.06623i | ||||
\(452\) | − | 5.52027e8i | − | 0.281174i | ||||||
\(453\) | −6.29845e8 | − | 1.86692e7i | −0.318339 | − | 0.00943590i | ||||
\(454\) | −2.08415e8 | + | 1.51422e8i | −0.104528 | + | 0.0759441i | ||||
\(455\) | 3.72189e8 | − | 5.12274e8i | 0.185235 | − | 0.254955i | ||||
\(456\) | 2.45292e9 | − | 1.67341e9i | 1.21145 | − | 0.826465i | ||||
\(457\) | −2.35470e9 | + | 7.65089e8i | −1.15406 | + | 0.374978i | −0.822672 | − | 0.568516i | \(-0.807518\pi\) |
−0.331390 | + | 0.943494i | \(0.607518\pi\) | |||||||
\(458\) | −2.00523e9 | − | 1.45688e9i | −0.975291 | − | 0.708590i | ||||
\(459\) | −3.15797e8 | + | 3.54303e9i | −0.152428 | + | 1.71014i | ||||
\(460\) | 1.15435e7 | − | 3.55272e7i | 0.00552949 | − | 0.0170180i | ||||
\(461\) | 6.33236e8 | 0.301032 | 0.150516 | − | 0.988608i | \(-0.451907\pi\) | ||||
0.150516 | + | 0.988608i | \(0.451907\pi\) | |||||||
\(462\) | 1.16267e9 | − | 2.20942e9i | 0.548544 | − | 1.04239i | ||||
\(463\) | 1.57934e8 | 0.0739508 | 0.0369754 | − | 0.999316i | \(-0.488228\pi\) | ||||
0.0369754 | + | 0.999316i | \(0.488228\pi\) | |||||||
\(464\) | 5.30989e8 | − | 1.63422e9i | 0.246759 | − | 0.759446i | ||||
\(465\) | 5.68613e8 | + | 4.39439e8i | 0.262259 | + | 0.202681i | ||||
\(466\) | 2.25977e9 | + | 1.64182e9i | 1.03446 | + | 0.751578i | ||||
\(467\) | −1.77588e8 | + | 5.77020e7i | −0.0806874 | + | 0.0262169i | −0.349083 | − | 0.937092i | \(-0.613507\pi\) |
0.268395 | + | 0.963309i | \(0.413507\pi\) | |||||||
\(468\) | −2.28333e8 | + | 2.78020e8i | −0.102969 | + | 0.125376i | ||||
\(469\) | 6.07890e8 | − | 8.36688e8i | 0.272095 | − | 0.374506i | ||||
\(470\) | −9.26295e8 | + | 6.72992e8i | −0.411535 | + | 0.298998i | ||||
\(471\) | −8.05360e7 | + | 2.71705e9i | −0.0355154 | + | 1.19819i | ||||
\(472\) | − | 2.61877e8i | − | 0.114630i | ||||||
\(473\) | −1.27096e9 | − | 6.21457e8i | −0.552226 | − | 0.270021i | ||||
\(474\) | 3.41417e8 | + | 1.16739e9i | 0.147252 | + | 0.503491i | ||||
\(475\) | −2.39645e9 | − | 7.78652e8i | −1.02598 | − | 0.333362i | ||||
\(476\) | −1.13125e9 | − | 1.55703e9i | −0.480767 | − | 0.661719i | ||||
\(477\) | 6.25283e7 | − | 1.05383e9i | 0.0263792 | − | 0.444588i | ||||
\(478\) | −1.40492e7 | − | 4.32390e7i | −0.00588374 | − | 0.0181083i | ||||
\(479\) | −5.89338e8 | − | 1.81380e9i | −0.245013 | − | 0.754074i | −0.995634 | − | 0.0933407i | \(-0.970245\pi\) |
0.750621 | − | 0.660733i | \(-0.229755\pi\) | |||||||
\(480\) | −2.29912e8 | + | 6.42198e8i | −0.0948895 | + | 0.265048i | ||||
\(481\) | −7.92804e8 | − | 1.09120e9i | −0.324832 | − | 0.447092i | ||||
\(482\) | 2.55816e9 | + | 8.31196e8i | 1.04055 | + | 0.338095i | ||||
\(483\) | 4.14773e8 | − | 1.21305e8i | 0.167492 | − | 0.0489852i | ||||
\(484\) | −2.71556e7 | − | 8.24787e8i | −0.0108868 | − | 0.330661i | ||||
\(485\) | 1.10593e9i | 0.440180i | ||||||||
\(486\) | 1.85278e9 | + | 9.23321e8i | 0.732146 | + | 0.364859i | ||||
\(487\) | 2.13005e9 | − | 1.54757e9i | 0.835678 | − | 0.607155i | −0.0854823 | − | 0.996340i | \(-0.527243\pi\) |
0.921160 | + | 0.389184i | \(0.127243\pi\) | |||||||
\(488\) | −1.32311e9 | + | 1.82110e9i | −0.515377 | + | 0.709356i | ||||
\(489\) | 1.26658e9 | + | 1.85659e9i | 0.489837 | + | 0.718016i | ||||
\(490\) | 9.70650e8 | − | 3.15383e8i | 0.372715 | − | 0.121102i | ||||
\(491\) | 2.61683e9 | + | 1.90124e9i | 0.997679 | + | 0.724856i | 0.961589 | − | 0.274492i | \(-0.0885098\pi\) |
0.0360897 | + | 0.999349i | \(0.488510\pi\) | |||||||
\(492\) | 5.78511e8 | − | 7.48565e8i | 0.218995 | − | 0.283369i | ||||
\(493\) | 2.01385e9 | − | 6.19799e9i | 0.756942 | − | 2.32963i | ||||
\(494\) | −1.44792e9 | −0.540382 | ||||||||
\(495\) | −1.19644e9 | + | 1.37317e8i | −0.443378 | + | 0.0508870i | ||||
\(496\) | −1.12966e9 | −0.415683 | ||||||||
\(497\) | −1.44508e9 | + | 4.44751e9i | −0.528014 | + | 1.62506i | ||||
\(498\) | 1.88036e9 | − | 2.43309e9i | 0.682240 | − | 0.882786i | ||||
\(499\) | −3.78250e9 | − | 2.74815e9i | −1.36278 | − | 0.990120i | −0.998262 | − | 0.0589254i | \(-0.981233\pi\) |
−0.364521 | − | 0.931195i | \(-0.618767\pi\) | |||||||
\(500\) | 7.06818e8 | − | 2.29659e8i | 0.252879 | − | 0.0821653i | ||||
\(501\) | −1.02197e9 | − | 1.49802e9i | −0.363082 | − | 0.532214i | ||||
\(502\) | −4.34866e8 | + | 5.98541e8i | −0.153424 | + | 0.211169i | ||||
\(503\) | 1.15028e9 | − | 8.35725e8i | 0.403008 | − | 0.292803i | −0.367757 | − | 0.929922i | \(-0.619874\pi\) |
0.770765 | + | 0.637119i | \(0.219874\pi\) | |||||||
\(504\) | −4.35996e9 | + | 1.13604e9i | −1.51697 | + | 0.395264i | ||||
\(505\) | 3.82107e8i | 0.132028i | ||||||||
\(506\) | −2.00900e8 | + | 2.07623e8i | −0.0689370 | + | 0.0712441i | ||||
\(507\) | −2.13917e9 | + | 6.25625e8i | −0.728982 | + | 0.213200i | ||||
\(508\) | 3.46793e8 | + | 1.12680e8i | 0.117367 | + | 0.0381350i | ||||
\(509\) | −1.91135e9 | − | 2.63074e9i | −0.642432 | − | 0.884232i | 0.356310 | − | 0.934368i | \(-0.384035\pi\) |
−0.998742 | + | 0.0501354i | \(0.984035\pi\) | |||||||
\(510\) | 6.32895e8 | − | 1.76782e9i | 0.211269 | − | 0.590123i | ||||
\(511\) | 1.96229e9 | + | 6.03930e9i | 0.650563 | + | 2.00223i | ||||
\(512\) | −9.03189e8 | − | 2.77973e9i | −0.297395 | − | 0.915288i | ||||
\(513\) | −9.20058e8 | − | 4.01507e9i | −0.300888 | − | 1.31305i | ||||
\(514\) | −2.57076e7 | − | 3.53835e7i | −0.00835009 | − | 0.0114929i | ||||
\(515\) | −5.85353e7 | − | 1.90193e7i | −0.0188839 | − | 0.00613576i | ||||
\(516\) | 1.78159e8 | + | 6.09171e8i | 0.0570866 | + | 0.195193i | ||||
\(517\) | −4.31234e9 | + | 7.55949e8i | −1.37245 | + | 0.240589i | ||||
\(518\) | − | 4.19920e9i | − | 1.32743i | ||||||
\(519\) | −4.92945e7 | + | 1.66305e9i | −0.0154779 | + | 0.522180i | ||||
\(520\) | 6.18040e8 | − | 4.49032e8i | 0.192755 | − | 0.140044i | ||||
\(521\) | 1.73359e9 | − | 2.38608e9i | 0.537048 | − | 0.739183i | −0.451136 | − | 0.892455i | \(-0.648981\pi\) |
0.988184 | + | 0.153272i | \(0.0489810\pi\) | |||||||
\(522\) | −2.93090e9 | − | 2.40709e9i | −0.901890 | − | 0.740705i | ||||
\(523\) | 5.59805e9 | − | 1.81892e9i | 1.71112 | − | 0.555977i | 0.720603 | − | 0.693348i | \(-0.243865\pi\) |
0.990520 | + | 0.137371i | \(0.0438651\pi\) | |||||||
\(524\) | 2.05509e8 | + | 1.49311e8i | 0.0623982 | + | 0.0453349i | ||||
\(525\) | 3.02522e9 | + | 2.33797e9i | 0.912429 | + | 0.705149i | ||||
\(526\) | −8.82703e8 | + | 2.71668e9i | −0.264463 | + | 0.813933i | ||||
\(527\) | −4.28439e9 | −1.27512 | ||||||||
\(528\) | 1.35616e9 | − | 1.32088e9i | 0.400951 | − | 0.390522i | ||||
\(529\) | 3.35482e9 | 0.985313 | ||||||||
\(530\) | −1.72207e8 | + | 5.29997e8i | −0.0502440 | + | 0.154635i | ||||
\(531\) | −3.38243e8 | − | 1.32526e8i | −0.0980387 | − | 0.0384123i | ||||
\(532\) | 1.80306e9 | + | 1.31000e9i | 0.519182 | + | 0.377208i | ||||
\(533\) | −1.76487e9 | + | 5.73442e8i | −0.504857 | + | 0.164038i | ||||
\(534\) | −2.30711e9 | + | 1.57393e9i | −0.655652 | + | 0.447292i | ||||
\(535\) | 2.25107e8 | − | 3.09833e8i | 0.0635551 | − | 0.0874761i | ||||
\(536\) | 1.00943e9 | − | 7.33396e8i | 0.283140 | − | 0.205713i | ||||
\(537\) | −3.19832e9 | − | 9.48015e7i | −0.891276 | − | 0.0264183i | ||||
\(538\) | 3.37466e9i | 0.934313i | ||||||||
\(539\) | 3.86404e9 | + | 5.46985e8i | 1.06287 | + | 0.150458i | ||||
\(540\) | 4.07170e8 | + | 3.55115e8i | 0.111275 | + | 0.0970489i | ||||
\(541\) | −2.26006e9 | − | 7.34338e8i | −0.613662 | − | 0.199391i | −0.0143380 | − | 0.999897i | \(-0.504564\pi\) |
−0.599325 | + | 0.800506i | \(0.704564\pi\) | |||||||
\(542\) | −1.96365e8 | − | 2.70274e8i | −0.0529746 | − | 0.0729133i | ||||
\(543\) | −3.72645e9 | − | 1.33410e9i | −0.998840 | − | 0.357593i | ||||
\(544\) | −1.25668e9 | − | 3.86765e9i | −0.334678 | − | 1.03003i | ||||
\(545\) | −7.18413e8 | − | 2.21105e9i | −0.190102 | − | 0.585073i | ||||
\(546\) | 2.06843e9 | + | 7.40516e8i | 0.543834 | + | 0.194697i | ||||
\(547\) | −8.47752e8 | − | 1.16683e9i | −0.221469 | − | 0.304826i | 0.683796 | − | 0.729673i | \(-0.260328\pi\) |
−0.905265 | + | 0.424847i | \(0.860328\pi\) | |||||||
\(548\) | −3.40028e7 | − | 1.10482e7i | −0.00882639 | − | 0.00286787i | ||||
\(549\) | 1.68258e9 | + | 2.63053e9i | 0.433982 | + | 0.678484i | ||||
\(550\) | −2.53084e9 | − | 3.58260e8i | −0.648627 | − | 0.0918181i | ||||
\(551\) | 7.54671e9i | 1.92188i | ||||||||
\(552\) | 5.21141e8 | + | 1.54471e7i | 0.131877 | + | 0.00390896i | ||||
\(553\) | −2.97093e9 | + | 2.15851e9i | −0.747058 | + | 0.542770i | ||||
\(554\) | −8.38102e8 | + | 1.15355e9i | −0.209417 | + | 0.288238i | ||||
\(555\) | −1.67325e9 | + | 1.14151e9i | −0.415466 | + | 0.283435i | ||||
\(556\) | 3.07972e8 | − | 1.00066e8i | 0.0759889 | − | 0.0246903i | ||||
\(557\) | 5.46962e9 | + | 3.97391e9i | 1.34111 | + | 0.974372i | 0.999402 | + | 0.0345650i | \(0.0110046\pi\) |
0.341706 | + | 0.939807i | \(0.388995\pi\) | |||||||
\(558\) | −9.09597e8 | + | 2.32154e9i | −0.221630 | + | 0.565662i | ||||
\(559\) | 3.84709e8 | − | 1.18401e9i | 0.0931518 | − | 0.286692i | ||||
\(560\) | 1.49479e9 | 0.359686 | ||||||||
\(561\) | 5.14341e9 | − | 5.00963e9i | 1.22993 | − | 1.19794i | ||||
\(562\) | 5.24970e9 | 1.24755 | ||||||||
\(563\) | 2.44343e9 | − | 7.52009e9i | 0.577058 | − | 1.77600i | −0.0520023 | − | 0.998647i | \(-0.516560\pi\) |
0.629061 | − | 0.777356i | \(-0.283440\pi\) | |||||||
\(564\) | 1.55409e9 | + | 1.20104e9i | 0.364753 | + | 0.281891i | ||||
\(565\) | 1.31553e9 | + | 9.55788e8i | 0.306853 | + | 0.222942i | ||||
\(566\) | 4.93894e9 | − | 1.60476e9i | 1.14492 | − | 0.372008i | ||||
\(567\) | −7.39091e8 | + | 6.20628e9i | −0.170277 | + | 1.42985i | ||||
\(568\) | −3.31622e9 | + | 4.56438e9i | −0.759318 | + | 1.04511i | ||||
\(569\) | −2.47344e9 | + | 1.79706e9i | −0.562871 | + | 0.408950i | −0.832509 | − | 0.554012i | \(-0.813096\pi\) |
0.269637 | + | 0.962962i | \(0.413096\pi\) | |||||||
\(570\) | −6.44229e7 | + | 2.17344e9i | −0.0145706 | + | 0.491570i | ||||
\(571\) | − | 6.51862e8i | − | 0.146531i | −0.997312 | − | 0.0732655i | \(-0.976658\pi\) | ||
0.997312 | − | 0.0732655i | \(-0.0233420\pi\) | |||||||
\(572\) | 7.15274e8 | − | 1.25387e8i | 0.159804 | − | 0.0280134i | ||||
\(573\) | −2.19984e9 | − | 7.52180e9i | −0.488484 | − | 1.67025i | ||||
\(574\) | −5.49456e9 | − | 1.78529e9i | −1.21267 | − | 0.394019i | ||||
\(575\) | −2.60054e8 | − | 3.57933e8i | −0.0570460 | − | 0.0785171i | ||||
\(576\) | −4.92509e9 | − | 2.92226e8i | −1.07383 | − | 0.0637147i | ||||
\(577\) | 8.71127e8 | + | 2.68105e9i | 0.188785 | + | 0.581019i | 0.999993 | − | 0.00373804i | \(-0.00118986\pi\) |
−0.811209 | + | 0.584757i | \(0.801190\pi\) | |||||||
\(578\) | 2.28580e9 | + | 7.03497e9i | 0.492369 | + | 1.51536i | ||||
\(579\) | 2.51052e9 | − | 7.01246e9i | 0.537513 | − | 1.50140i | ||||
\(580\) | −5.81812e8 | − | 8.00796e8i | −0.123818 | − | 0.170421i | ||||
\(581\) | 8.82978e9 | + | 2.86897e9i | 1.86781 | + | 0.606889i | ||||
\(582\) | −3.68288e9 | + | 1.07710e9i | −0.774386 | + | 0.226478i | ||||
\(583\) | −1.48177e9 | + | 1.53136e9i | −0.309699 | + | 0.320064i | ||||
\(584\) | 7.66116e9i | 1.59166i | ||||||||
\(585\) | −2.67208e8 | − | 1.02551e9i | −0.0551828 | − | 0.211784i | ||||
\(586\) | −4.28224e9 | + | 3.11123e9i | −0.879081 | + | 0.638690i | ||||
\(587\) | 3.69363e8 | − | 5.08385e8i | 0.0753738 | − | 0.103743i | −0.769665 | − | 0.638447i | \(-0.779577\pi\) |
0.845039 | + | 0.534704i | \(0.179577\pi\) | |||||||
\(588\) | −9.86657e8 | − | 1.44627e9i | −0.200145 | − | 0.293378i | ||||
\(589\) | 4.71855e9 | − | 1.53315e9i | 0.951491 | − | 0.309158i | ||||
\(590\) | 1.55142e8 | + | 1.12717e8i | 0.0310991 | + | 0.0225948i | ||||
\(591\) | −2.41012e9 | + | 3.11858e9i | −0.480268 | + | 0.621443i | ||||
\(592\) | 9.83935e8 | − | 3.02824e9i | 0.194913 | − | 0.599880i | ||||
\(593\) | 3.91722e9 | 0.771413 | 0.385706 | − | 0.922622i | \(-0.373958\pi\) | ||||
0.385706 | + | 0.922622i | \(0.373958\pi\) | |||||||
\(594\) | −1.62255e9 | − | 3.85058e9i | −0.317647 | − | 0.753830i | ||||
\(595\) | 5.66921e9 | 1.10335 | ||||||||
\(596\) | −1.37891e8 | + | 4.24386e8i | −0.0266794 | + | 0.0821106i | ||||
\(597\) | −1.60882e9 | + | 2.08173e9i | −0.309454 | + | 0.400418i | ||||
\(598\) | −2.05677e8 | − | 1.49433e8i | −0.0393307 | − | 0.0285754i | ||||
\(599\) | −5.56603e9 | + | 1.80851e9i | −1.05816 | + | 0.343817i | −0.785866 | − | 0.618397i | \(-0.787782\pi\) |
−0.272294 | + | 0.962214i | \(0.587782\pi\) | |||||||
\(600\) | 2.59954e9 | + | 3.81047e9i | 0.491323 | + | 0.720194i | ||||
\(601\) | 1.80014e9 | − | 2.47768e9i | 0.338257 | − | 0.465570i | −0.605675 | − | 0.795712i | \(-0.707097\pi\) |
0.943931 | + | 0.330142i | \(0.107097\pi\) | |||||||
\(602\) | 3.13565e9 | − | 2.27818e9i | 0.585787 | − | 0.425599i | ||||
\(603\) | −4.36426e8 | − | 1.67494e9i | −0.0810588 | − | 0.311092i | ||||
\(604\) | − | 5.70596e8i | − | 0.105366i | ||||||
\(605\) | 2.01256e9 | + | 1.36334e9i | 0.369492 | + | 0.250299i | ||||
\(606\) | −1.27247e9 | + | 3.72148e8i | −0.232269 | + | 0.0679300i | ||||
\(607\) | 5.10385e8 | + | 1.65834e8i | 0.0926269 | + | 0.0300963i | 0.354964 | − | 0.934880i | \(-0.384493\pi\) |
−0.262337 | + | 0.964976i | \(0.584493\pi\) | |||||||
\(608\) | 2.76804e9 | + | 3.80988e9i | 0.499470 | + | 0.687462i | ||||
\(609\) | 3.85964e9 | − | 1.07809e10i | 0.692447 | − | 1.93416i | ||||
\(610\) | −5.09370e8 | − | 1.56768e9i | −0.0908613 | − | 0.279642i | ||||
\(611\) | −1.19052e9 | − | 3.66403e9i | −0.211150 | − | 0.649853i | ||||
\(612\) | −3.21539e9 | − | 1.90783e8i | −0.567027 | − | 0.0336441i | ||||
\(613\) | 3.31847e9 | + | 4.56748e9i | 0.581870 | + | 0.800875i | 0.993899 | − | 0.110296i | \(-0.0351798\pi\) |
−0.412029 | + | 0.911171i | \(0.635180\pi\) | |||||||
\(614\) | −5.52833e9 | − | 1.79626e9i | −0.963839 | − | 0.313170i | ||||
\(615\) | 7.82255e8 | + | 2.67472e9i | 0.135608 | + | 0.463677i | ||||
\(616\) | 8.16997e9 | + | 3.99485e9i | 1.40828 | + | 0.688602i | ||||
\(617\) | − | 1.16382e10i | − | 1.99475i | −0.0724153 | − | 0.997375i | \(-0.523071\pi\) | ||
0.0724153 | − | 0.997375i | \(-0.476929\pi\) | |||||||
\(618\) | 6.32698e6 | − | 2.13454e8i | 0.00107829 | − | 0.0363784i | ||||
\(619\) | −8.48940e9 | + | 6.16791e9i | −1.43866 | + | 1.04525i | −0.450345 | + | 0.892854i | \(0.648699\pi\) |
−0.988319 | + | 0.152397i | \(0.951301\pi\) | |||||||
\(620\) | −3.82496e8 | + | 5.26461e8i | −0.0644549 | + | 0.0887146i | ||||
\(621\) | 2.83682e8 | − | 6.65294e8i | 0.0475347 | − | 0.111479i | ||||
\(622\) | 4.77383e9 | − | 1.55111e9i | 0.795428 | − | 0.258450i | ||||
\(623\) | −6.82185e9 | − | 4.95637e9i | −1.13030 | − | 0.821212i | ||||
\(624\) | 1.31813e9 | + | 1.01868e9i | 0.217176 | + | 0.167839i | ||||
\(625\) | 8.33933e8 | − | 2.56658e9i | 0.136632 | − | 0.420509i | ||||
\(626\) | 2.30476e9 | 0.375505 | ||||||||
\(627\) | −3.87195e9 | + | 7.35782e9i | −0.627325 | + | 1.19210i | ||||
\(628\) | −2.46145e9 | −0.396582 | ||||||||
\(629\) | 3.73171e9 | − | 1.14850e10i | 0.597902 | − | 1.84015i | ||||
\(630\) | 1.20360e9 | − | 3.07192e9i | 0.191775 | − | 0.489461i | ||||
\(631\) | −9.15710e9 | − | 6.65302e9i | −1.45096 | − | 1.05418i | −0.985606 | − | 0.169058i | \(-0.945927\pi\) |
−0.465353 | − | 0.885125i | \(-0.654073\pi\) | |||||||
\(632\) | −4.21362e9 | + | 1.36909e9i | −0.663965 | + | 0.215735i | ||||
\(633\) | −1.43328e9 | + | 9.77794e8i | −0.224604 | + | 0.153227i | ||||
\(634\) | −4.65601e9 | + | 6.40844e9i | −0.725606 | + | 0.998712i | ||||
\(635\) | −8.68970e8 | + | 6.31344e8i | −0.134678 | + | 0.0978493i | ||||
\(636\) | 9.55539e8 | + | 2.83231e7i | 0.147282 | + | 0.00436557i | ||||
\(637\) | 3.43414e9i | 0.526417i | ||||||||
\(638\) | 1.32183e9 | + | 7.54044e9i | 0.201513 | + | 1.14954i | ||||
\(639\) | 4.21719e9 | + | 6.59313e9i | 0.639397 | + | 0.999628i | ||||
\(640\) | 7.01328e8 | + | 2.27875e8i | 0.105753 | + | 0.0343611i | ||||
\(641\) | 3.36135e8 | + | 4.62650e8i | 0.0504093 | + | 0.0693824i | 0.833477 | − | 0.552553i | \(-0.186346\pi\) |
−0.783068 | + | 0.621936i | \(0.786346\pi\) | |||||||
\(642\) | 1.25103e9 | + | 4.47878e8i | 0.186592 | + | 0.0668016i | ||||
\(643\) | −7.86563e8 | − | 2.42079e9i | −0.116680 | − | 0.359103i | 0.875614 | − | 0.483012i | \(-0.160457\pi\) |
−0.992294 | + | 0.123908i | \(0.960457\pi\) | |||||||
\(644\) | 1.20926e8 | + | 3.72171e8i | 0.0178409 | + | 0.0549088i | ||||
\(645\) | −1.76018e9 | − | 6.30158e8i | −0.258284 | − | 0.0924678i | ||||
\(646\) | −7.61976e9 | − | 1.04877e10i | −1.11206 | − | 1.53062i | ||||
\(647\) | −7.75253e9 | − | 2.51895e9i | −1.12533 | − | 0.365641i | −0.313528 | − | 0.949579i | \(-0.601511\pi\) |
−0.811798 | + | 0.583938i | \(0.801511\pi\) | |||||||
\(648\) | −3.16185e9 | + | 6.84563e9i | −0.456488 | + | 0.988328i | ||||
\(649\) | 3.43605e8 | + | 6.47784e8i | 0.0493404 | + | 0.0930195i | ||||
\(650\) | − | 2.24926e9i | − | 0.321250i | ||||||
\(651\) | −7.52479e9 | − | 2.23042e8i | −1.06896 | − | 0.0316850i | ||||
\(652\) | −1.64648e9 | + | 1.19624e9i | −0.232643 | + | 0.169025i | ||||
\(653\) | −6.26492e9 | + | 8.62293e9i | −0.880480 | + | 1.21188i | 0.0958074 | + | 0.995400i | \(0.469457\pi\) |
−0.976288 | + | 0.216477i | \(0.930543\pi\) | |||||||
\(654\) | 6.66339e9 | − | 4.54583e9i | 0.931479 | − | 0.635464i | ||||
\(655\) | −7.11644e8 | + | 2.31227e8i | −0.0989506 | + | 0.0321510i | ||||
\(656\) | −3.54406e9 | − | 2.57491e9i | −0.490160 | − | 0.356122i | ||||
\(657\) | 9.89523e9 | + | 3.87703e9i | 1.36128 | + | 0.533359i | ||||
\(658\) | 3.70642e9 | − | 1.14072e10i | 0.507182 | − | 1.56095i | ||||
\(659\) | −3.88013e9 | −0.528138 | −0.264069 | − | 0.964504i | \(-0.585065\pi\) | ||||
−0.264069 | + | 0.964504i | \(0.585065\pi\) | |||||||
\(660\) | −1.56390e8 | − | 1.07926e9i | −0.0211741 | − | 0.146124i | ||||
\(661\) | 1.38528e10 | 1.86565 | 0.932827 | − | 0.360324i | \(-0.117334\pi\) | ||||
0.932827 | + | 0.360324i | \(0.117334\pi\) | |||||||
\(662\) | −1.92470e8 | + | 5.92363e8i | −0.0257846 | + | 0.0793570i | ||||
\(663\) | 4.99918e9 | + | 3.86350e9i | 0.666195 | + | 0.514853i | ||||
\(664\) | 9.06181e9 | + | 6.58379e9i | 1.20123 | + | 0.872746i | ||||
\(665\) | −6.24370e9 | + | 2.02870e9i | −0.823315 | + | 0.267511i | ||||
\(666\) | −5.43101e9 | − | 4.46039e9i | −0.712395 | − | 0.585077i | ||||
\(667\) | −7.78860e8 | + | 1.07201e9i | −0.101629 | + | 0.139881i | ||||
\(668\) | 1.32849e9 | − | 9.65207e8i | 0.172442 | − | 0.125286i | ||||
\(669\) | −6.38662e7 | + | 2.15466e9i | −0.00824669 | + | 0.278219i | ||||
\(670\) | 9.13682e8i | 0.117364i | ||||||||
\(671\) | 8.83425e8 | − | 6.24074e9i | 0.112886 | − | 0.797457i | ||||
\(672\) | −2.00579e9 | − | 6.85828e9i | −0.254972 | − | 0.871812i | ||||
\(673\) | −2.04097e9 | − | 6.63151e8i | −0.258097 | − | 0.0838610i | 0.177110 | − | 0.984191i | \(-0.443325\pi\) |
−0.435208 | + | 0.900330i | \(0.643325\pi\) | |||||||
\(674\) | −2.79244e9 | − | 3.84347e9i | −0.351297 | − | 0.483519i | ||||
\(675\) | 6.23718e9 | − | 1.42926e9i | 0.780594 | − | 0.178874i | ||||
\(676\) | −6.23667e8 | − | 1.91945e9i | −0.0776496 | − | 0.238981i | ||||
\(677\) | −1.38969e8 | − | 4.27704e8i | −0.0172131 | − | 0.0529764i | 0.942081 | − | 0.335385i | \(-0.108867\pi\) |
−0.959294 | + | 0.282409i | \(0.908867\pi\) | |||||||
\(678\) | −1.90166e9 | + | 5.31176e9i | −0.234330 | + | 0.654538i | ||||
\(679\) | −6.80967e9 | − | 9.37270e9i | −0.834798 | − | 1.14900i | ||||
\(680\) | 6.50494e9 | + | 2.11358e9i | 0.793345 | + | 0.257773i | ||||
\(681\) | −1.24941e9 | + | 3.65404e8i | −0.151596 | + | 0.0443362i | ||||
\(682\) | 4.44609e9 | − | 2.35834e9i | 0.536702 | − | 0.284683i | ||||
\(683\) | 5.70135e9i | 0.684708i | 0.939571 | + | 0.342354i | \(0.111224\pi\) | ||||
−0.939571 | + | 0.342354i | \(0.888776\pi\) | |||||||
\(684\) | 3.60949e9 | − | 9.40497e8i | 0.431270 | − | 0.112373i | ||||
\(685\) | 8.52019e7 | − | 6.19028e7i | 0.0101282 | − | 0.00735857i | ||||
\(686\) | −4.30095e8 | + | 5.91975e8i | −0.0508663 | + | 0.0700114i | ||||
\(687\) | −7.05827e9 | − | 1.03462e10i | −0.830520 | − | 1.21740i | ||||
\(688\) | 2.79507e9 | − | 9.08174e8i | 0.327215 | − | 0.106319i | ||||
\(689\) | −1.51700e9 | − | 1.10217e9i | −0.176693 | − | 0.128375i | ||||
\(690\) | −2.33461e8 | + | 3.02088e8i | −0.0270547 | + | 0.0350075i | ||||
\(691\) | −4.80791e8 | + | 1.47972e9i | −0.0554348 | + | 0.170611i | −0.974940 | − | 0.222466i | \(-0.928589\pi\) |
0.919506 | + | 0.393077i | \(0.128589\pi\) | |||||||
\(692\) | −1.50661e9 | −0.172834 | ||||||||
\(693\) | 9.29431e9 | − | 8.53078e9i | 1.06084 | − | 0.973694i | ||||
\(694\) | 1.51927e9 | 0.172535 | ||||||||
\(695\) | −2.94761e8 | + | 9.07182e8i | −0.0333061 | + | 0.102506i | ||||
\(696\) | 8.44791e9 | − | 1.09312e10i | 0.949766 | − | 1.22895i | ||||
\(697\) | −1.34413e10 | − | 9.76571e9i | −1.50358 | − | 1.09242i | ||||
\(698\) | −3.82273e9 | + | 1.24208e9i | −0.425481 | + | 0.138247i | ||||
\(699\) | 7.95424e9 | + | 1.16595e10i | 0.880904 | + | 1.29125i | ||||
\(700\) | −2.03501e9 | + | 2.80095e9i | −0.224246 | + | 0.308648i | ||||
\(701\) | 3.00858e9 | − | 2.18586e9i | 0.329874 | − | 0.239668i | −0.410503 | − | 0.911859i | \(-0.634647\pi\) |
0.740377 | + | 0.672192i | \(0.234647\pi\) | |||||||
\(702\) | 3.15483e9 | − | 1.88862e9i | 0.344188 | − | 0.206046i | ||||
\(703\) | 1.39842e10i | 1.51808i | ||||||||
\(704\) | 7.15679e9 | + | 6.92503e9i | 0.773061 | + | 0.748027i | ||||
\(705\) | −5.55296e9 | + | 1.62403e9i | −0.596846 | + | 0.174555i | ||||
\(706\) | 1.00879e10 | + | 3.27776e9i | 1.07891 | + | 0.350558i | ||||
\(707\) | −2.35279e9 | − | 3.23834e9i | −0.250390 | − | 0.344632i | ||||
\(708\) | 1.10879e8 | − | 3.09711e8i | 0.0117418 | − | 0.0327974i | ||||
\(709\) | 1.61106e9 | + | 4.95835e9i | 0.169766 | + | 0.522486i | 0.999356 | − | 0.0358870i | \(-0.0114257\pi\) |
−0.829590 | + | 0.558373i | \(0.811426\pi\) | |||||||
\(710\) | −1.27668e9 | − | 3.92921e9i | −0.133868 | − | 0.412004i | ||||
\(711\) | −3.64027e8 | + | 6.13520e9i | −0.0379831 | + | 0.640155i | ||||
\(712\) | −5.97967e9 | − | 8.23031e9i | −0.620865 | − | 0.854548i | ||||
\(713\) | 8.28497e8 | + | 2.69195e8i | 0.0856008 | + | 0.0278134i | ||||
\(714\) | 5.52146e9 | + | 1.88792e10i | 0.567688 | + | 1.94107i | ||||
\(715\) | −9.39629e8 | + | 1.92166e9i | −0.0961358 | + | 0.196610i | ||||
\(716\) | − | 2.89746e9i | − | 0.294999i | ||||||
\(717\) | 6.80653e6 | − | 2.29632e8i | 0.000689618 | − | 0.0232657i | ||||
\(718\) | −1.42739e9 | + | 1.03706e9i | −0.143915 | + | 0.104561i | ||||
\(719\) | −3.08969e9 | + | 4.25259e9i | −0.310001 | + | 0.426680i | −0.935382 | − | 0.353640i | \(-0.884944\pi\) |
0.625380 | + | 0.780320i | \(0.284944\pi\) | |||||||
\(720\) | 1.58777e9 | − | 1.93328e9i | 0.158534 | − | 0.193033i | ||||
\(721\) | 6.13194e8 | − | 1.99239e8i | 0.0609291 | − | 0.0197971i | ||||
\(722\) | 5.45216e9 | + | 3.96123e9i | 0.539124 | + | 0.391696i | ||||
\(723\) | 1.07544e10 | + | 8.31132e9i | 1.05829 | + | 0.817873i | ||||
\(724\) | 1.10756e9 | − | 3.40873e9i | 0.108464 | − | 0.333816i | ||||
\(725\) | −1.17234e10 | −1.14254 | ||||||||
\(726\) | −2.57998e9 | + | 8.02989e9i | −0.250229 | + | 0.778810i | ||||
\(727\) | 1.16242e10 | 1.12200 | 0.560999 | − | 0.827817i | \(-0.310417\pi\) | ||||
0.560999 | + | 0.827817i | \(0.310417\pi\) | |||||||
\(728\) | −2.47299e9 | + | 7.61108e9i | −0.237554 | + | 0.731116i | ||||
\(729\) | 7.24180e9 | + | 7.54820e9i | 0.692309 | + | 0.721601i | ||||
\(730\) | −4.53865e9 | − | 3.29752e9i | −0.431814 | − | 0.313731i | ||||
\(731\) | 1.06007e10 | − | 3.44438e9i | 1.00375 | − | 0.326137i | ||||
\(732\) | −2.33584e9 | + | 1.59353e9i | −0.220117 | + | 0.150166i | ||||
\(733\) | −9.30813e9 | + | 1.28115e10i | −0.872968 | + | 1.20154i | 0.105351 | + | 0.994435i | \(0.466403\pi\) |
−0.978319 | + | 0.207103i | \(0.933597\pi\) | |||||||
\(734\) | 4.83189e9 | − | 3.51057e9i | 0.451004 | − | 0.327674i | ||||
\(735\) | 5.15490e9 | + | 1.52796e8i | 0.478866 | + | 0.0141941i | ||||
\(736\) | 8.26868e8i | 0.0764476i | ||||||||
\(737\) | −1.53468e9 | + | 3.13861e9i | −0.141215 | + | 0.288803i | ||||
\(738\) | −8.14531e9 | + | 5.21002e9i | −0.745952 | + | 0.477136i | ||||
\(739\) | −9.60384e9 | − | 3.12048e9i | −0.875365 | − | 0.284423i | −0.163334 | − | 0.986571i | \(-0.552225\pi\) |
−0.712032 | + | 0.702147i | \(0.752225\pi\) | |||||||
\(740\) | −1.07811e9 | − | 1.48389e9i | −0.0978030 | − | 0.134614i | ||||
\(741\) | −6.88830e9 | − | 2.46607e9i | −0.621940 | − | 0.222660i | ||||
\(742\) | −1.80397e9 | − | 5.55206e9i | −0.162113 | − | 0.498931i | ||||
\(743\) | 1.31355e9 | + | 4.04268e9i | 0.117486 | + | 0.361583i | 0.992457 | − | 0.122591i | \(-0.0391202\pi\) |
−0.874972 | + | 0.484174i | \(0.839120\pi\) | |||||||
\(744\) | −8.55090e9 | − | 3.06130e9i | −0.761214 | − | 0.272521i | ||||
\(745\) | −7.72603e8 | − | 1.06340e9i | −0.0684557 | − | 0.0942211i | ||||
\(746\) | −1.18324e10 | − | 3.84458e9i | −1.04349 | − | 0.339050i | ||||
\(747\) | 1.30895e10 | − | 8.37252e9i | 1.14895 | − | 0.734910i | ||||
\(748\) | 4.67238e9 | + | 4.52108e9i | 0.408209 | + | 0.394990i | ||||
\(749\) | 4.01191e9i | 0.348871i | ||||||||
\(750\) | −7.59235e9 | − | 2.25045e8i | −0.657146 | − | 0.0194785i | ||||
\(751\) | −8.65783e8 | + | 6.29028e8i | −0.0745880 | + | 0.0541914i | −0.624454 | − | 0.781061i | \(-0.714679\pi\) |
0.549866 | + | 0.835253i | \(0.314679\pi\) | |||||||
\(752\) | 5.34574e9 | − | 7.35778e9i | 0.458401 | − | 0.630935i | ||||
\(753\) | −3.08824e9 | + | 2.10683e9i | −0.263590 | + | 0.179824i | ||||
\(754\) | −6.40683e9 | + | 2.08170e9i | −0.544306 | + | 0.176856i | ||||
\(755\) | 1.35978e9 | + | 9.87938e8i | 0.114989 | + | 0.0835441i | ||||
\(756\) | −5.63735e9 | − | 5.02468e8i | −0.474514 | − | 0.0422943i | ||||
\(757\) | −4.07379e9 | + | 1.25378e10i | −0.341321 | + | 1.05048i | 0.622202 | + | 0.782856i | \(0.286238\pi\) |
−0.963524 | + | 0.267623i | \(0.913762\pi\) | |||||||
\(758\) | 2.82990e9 | 0.236009 | ||||||||
\(759\) | −1.30937e9 | + | 6.45572e8i | −0.108697 | + | 0.0535918i | ||||
\(760\) | −7.92045e9 | −0.654489 | ||||||||
\(761\) | −5.32500e9 | + | 1.63887e10i | −0.437999 | + | 1.34802i | 0.451983 | + | 0.892027i | \(0.350717\pi\) |
−0.889982 | + | 0.455996i | \(0.849283\pi\) | |||||||
\(762\) | −2.94878e9 | − | 2.27890e9i | −0.241435 | − | 0.186587i | ||||
\(763\) | 1.97029e10 | + | 1.43150e10i | 1.60581 | + | 1.16669i | ||||
\(764\) | 6.74923e9 | − | 2.19296e9i | 0.547554 | − | 0.177911i | ||||
\(765\) | 6.02183e9 | − | 7.33224e9i | 0.486311 | − | 0.592137i | ||||
\(766\) | −3.92225e9 | + | 5.39851e9i | −0.315308 | + | 0.433984i | ||||
\(767\) | −5.22024e8 | + | 3.79273e8i | −0.0417741 | + | 0.0303507i | ||||
\(768\) | 3.24291e8 | − | 1.09406e10i | 0.0258328 | − | 0.871521i | ||||
\(769\) | − | 7.59782e9i | − | 0.602486i | −0.953547 | − | 0.301243i | \(-0.902598\pi\) | ||
0.953547 | − | 0.301243i | \(-0.0974015\pi\) | |||||||
\(770\) | −5.88318e9 | + | 3.12062e9i | −0.464402 | + | 0.246334i | ||||
\(771\) | −6.20363e7 | − | 2.12117e8i | −0.00487478 | − | 0.0166681i | ||||
\(772\) | 6.41458e9 | + | 2.08422e9i | 0.501773 | + | 0.163036i | ||||
\(773\) | −2.46072e9 | − | 3.38689e9i | −0.191617 | − | 0.263738i | 0.702389 | − | 0.711794i | \(-0.252117\pi\) |
−0.894006 | + | 0.448055i | \(0.852117\pi\) | |||||||
\(774\) | 3.84210e8 | − | 6.47536e9i | 0.0297834 | − | 0.501961i | ||||
\(775\) | 2.38166e9 | + | 7.33000e9i | 0.183791 | + | 0.565650i | ||||
\(776\) | −4.31920e9 | − | 1.32931e10i | −0.331808 | − | 1.02120i | ||||
\(777\) | 7.15200e9 | − | 1.99772e10i | 0.546958 | − | 1.52778i | ||||
\(778\) | 1.10896e10 | + | 1.52635e10i | 0.844278 | + | 1.16205i | ||||
\(779\) | 1.82980e10 | + | 5.94539e9i | 1.38683 | + | 0.450608i | ||||
\(780\) | 9.21052e8 | − | 2.69373e8i | 0.0694949 | − | 0.0203246i | ||||
\(781\) | 2.21421e9 | − | 1.56417e10i | 0.166318 | − | 1.17491i | ||||
\(782\) | − | 2.27617e9i | − | 0.170209i | ||||||
\(783\) | −9.84366e9 | − | 1.64433e10i | −0.732808 | − | 1.22411i | ||||
\(784\) | −6.55861e9 | + | 4.76511e9i | −0.486077 | + | 0.353156i | ||||
\(785\) | 4.26180e9 | − | 5.86586e9i | 0.314448 | − | 0.432801i | ||||
\(786\) | −1.46311e9 | − | 2.14467e9i | −0.107473 | − | 0.157537i | ||||
\(787\) | 8.35381e9 | − | 2.71432e9i | 0.610904 | − | 0.198495i | 0.0128066 | − | 0.999918i | \(-0.495923\pi\) |
0.598098 | + | 0.801423i | \(0.295923\pi\) | |||||||
\(788\) | −2.88740e9 | − | 2.09782e9i | −0.210216 | − | 0.152731i | ||||
\(789\) | −8.82634e9 | + | 1.14209e10i | −0.639752 | + | 0.827807i | ||||
\(790\) | 1.00255e9 | − | 3.08553e9i | 0.0723455 | − | 0.222657i | ||||
\(791\) | −1.70343e10 | −1.22379 | ||||||||
\(792\) | 1.38449e10 | − | 6.32326e9i | 0.990262 | − | 0.452275i | ||||
\(793\) | 5.54641e9 | 0.394963 | ||||||||
\(794\) | 1.84792e9 | − | 5.68730e9i | 0.131012 | − | 0.403213i | ||||
\(795\) | −1.72193e9 | + | 2.22810e9i | −0.121543 | + | 0.157271i | ||||
\(796\) | −1.92741e9 | − | 1.40034e9i | −0.135450 | − | 0.0984099i | ||||
\(797\) | 1.07855e10 | − | 3.50443e9i | 0.754636 | − | 0.245196i | 0.0936611 | − | 0.995604i | \(-0.470143\pi\) |
0.660975 | + | 0.750408i | \(0.270143\pi\) | |||||||
\(798\) | −1.28368e10 | − | 1.88165e10i | −0.894226 | − | 1.31078i | ||||
\(799\) | 2.02745e10 | − | 2.79054e10i | 1.40616 | − | 1.93542i | ||||
\(800\) | −5.91843e9 | + | 4.29999e9i | −0.408688 | + | 0.296929i | ||||
\(801\) | −1.36564e10 | + | 3.55835e9i | −0.938910 | + | 0.244644i | ||||
\(802\) | − | 1.97152e10i | − | 1.34955i | ||||||
\(803\) | −1.00521e10 | − | 1.89508e10i | −0.685098 | − | 1.29159i | ||||
\(804\) | 1.50434e9 | − | 4.39962e8i | 0.102082 | − | 0.0298551i | ||||
\(805\) | −1.09629e9 | − | 3.56206e8i | −0.0740695 | − | 0.0240666i | ||||
\(806\) | 2.60315e9 | + | 3.58293e9i | 0.175117 | + | 0.241027i | ||||
\(807\) | −5.74766e9 | + | 1.60545e10i | −0.384976 | + | 1.07533i | ||||
\(808\) | −1.49232e9 | − | 4.59289e9i | −0.0995227 | − | 0.306299i | ||||
\(809\) | 5.56074e9 | + | 1.71142e10i | 0.369243 | + | 1.13641i | 0.947281 | + | 0.320404i | \(0.103819\pi\) |
−0.578038 | + | 0.816010i | \(0.696181\pi\) | |||||||
\(810\) | −2.69459e9 | − | 4.81966e9i | −0.178154 | − | 0.318654i | ||||
\(811\) | −6.51979e9 | − | 8.97372e9i | −0.429201 | − | 0.590744i | 0.538569 | − | 0.842582i | \(-0.318965\pi\) |
−0.967770 | + | 0.251837i | \(0.918965\pi\) | |||||||
\(812\) | 9.86168e9 | + | 3.20426e9i | 0.646405 | + | 0.210030i | ||||
\(813\) | −4.73858e8 | − | 1.62024e9i | −0.0309266 | − | 0.105746i | ||||
\(814\) | 2.44938e9 | + | 1.39726e10i | 0.159174 | + | 0.908012i | ||||
\(815\) | − | 5.99489e9i | − | 0.387909i | ||||||
\(816\) | −4.41901e8 | + | 1.49084e10i | −0.0284715 | + | 0.960543i | ||||
\(817\) | −1.04424e10 | + | 7.58682e9i | −0.669918 | + | 0.486724i | ||||
\(818\) | 5.17660e9 | − | 7.12498e9i | 0.330680 | − | 0.455142i | ||||
\(819\) | 8.57906e9 | + | 7.04582e9i | 0.545690 | + | 0.448165i | ||||
\(820\) | −2.40000e9 | + | 7.79806e8i | −0.152007 | + | 0.0493899i | ||||
\(821\) | 6.12883e9 | + | 4.45285e9i | 0.386524 | + | 0.280826i | 0.764030 | − | 0.645181i | \(-0.223218\pi\) |
−0.377506 | + | 0.926007i | \(0.623218\pi\) | |||||||
\(822\) | 2.89126e8 | + | 2.23444e8i | 0.0181566 | + | 0.0140319i | ||||
\(823\) | −6.27783e8 | + | 1.93212e9i | −0.0392564 | + | 0.120819i | −0.968764 | − | 0.247984i | \(-0.920232\pi\) |
0.929508 | + | 0.368802i | \(0.120232\pi\) | |||||||
\(824\) | 7.77868e8 | 0.0484352 | ||||||||
\(825\) | −1.14300e10 | − | 6.01485e9i | −0.708689 | − | 0.372937i | ||||
\(826\) | −2.00887e9 | −0.124029 | ||||||||
\(827\) | 6.02177e9 | − | 1.85331e10i | 0.370216 | − | 1.13941i | −0.576434 | − | 0.817144i | \(-0.695556\pi\) |
0.946650 | − | 0.322264i | \(-0.104444\pi\) | |||||||
\(828\) | 6.09792e8 | + | 2.38921e8i | 0.0373315 | + | 0.0146268i | ||||
\(829\) | −1.97505e10 | − | 1.43496e10i | −1.20403 | − | 0.874780i | −0.209356 | − | 0.977840i | \(-0.567137\pi\) |
−0.994675 | + | 0.103060i | \(0.967137\pi\) | |||||||
\(830\) | −7.80079e9 | + | 2.53463e9i | −0.473550 | + | 0.153866i | ||||
\(831\) | −5.95187e9 | + | 4.06042e9i | −0.359791 | + | 0.245453i | ||||
\(832\) | −5.15097e9 | + | 7.08970e9i | −0.310068 | + | 0.426772i | ||||
\(833\) | −2.48744e10 | + | 1.80723e10i | −1.49106 | + | 1.08332i | ||||
\(834\) | −3.30812e9 | − | 9.80559e7i | −0.197469 | − | 0.00585319i | ||||
\(835\) | 4.83710e9i | 0.287529i | ||||||||
\(836\) | −6.76370e9 | − | 3.30723e9i | −0.400371 | − | 0.195768i | ||||
\(837\) | −8.28130e9 | + | 9.49523e9i | −0.488157 | + | 0.559714i | ||||
\(838\) | −3.20496e9 | − | 1.04135e9i | −0.188135 | − | 0.0611286i | ||||
\(839\) | −8.33339e9 | − | 1.14699e10i | −0.487141 | − | 0.670492i | 0.492717 | − | 0.870190i | \(-0.336004\pi\) |
−0.979858 | + | 0.199698i | \(0.936004\pi\) | |||||||
\(840\) | 1.13148e10 | + | 4.05079e9i | 0.658670 | + | 0.235810i | ||||
\(841\) | 5.51955e9 | + | 1.69874e10i | 0.319976 | + | 0.984785i | ||||
\(842\) | 6.60084e9 | + | 2.03153e10i | 0.381072 | + | 1.17282i | ||||
\(843\) | 2.49748e10 | + | 8.94118e9i | 1.43584 | + | 0.514042i | ||||
\(844\) | −9.23489e8 | − | 1.27107e9i | −0.0528729 | − | 0.0727733i | ||||
\(845\) | 5.65405e9 | + | 1.83711e9i | 0.322375 | + | 0.104746i | ||||
\(846\) | −1.08165e10 | − | 1.69104e10i | −0.614171 | − | 0.960190i | ||||
\(847\) | −2.54510e10 | + | 8.37959e8i | −1.43917 | + | 0.0473839i | ||||
\(848\) | − | 4.42655e9i | − | 0.249276i | ||||||
\(849\) | 2.62296e10 | + | 7.77471e8i | 1.47101 | + | 0.0436021i | ||||
\(850\) | 1.62921e10 | − | 1.18369e10i | 0.909933 | − | 0.661105i | ||||
\(851\) | −1.44324e9 | + | 1.98645e9i | −0.0802761 | + | 0.110491i | ||||
\(852\) | −5.85452e9 | + | 3.99401e9i | −0.324305 | + | 0.221244i | ||||
\(853\) | 1.06496e10 | − | 3.46026e9i | 0.587505 | − | 0.190892i | −0.000155182 | − | 1.00000i | \(-0.500049\pi\) |
0.587660 | + | 0.809108i | \(0.300049\pi\) | |||||||
\(854\) | 1.39698e10 | + | 1.01496e10i | 0.767515 | + | 0.557632i | ||||
\(855\) | −4.00824e9 | + | 1.02301e10i | −0.219317 | + | 0.559758i | ||||
\(856\) | −1.49571e9 | + | 4.60332e9i | −0.0815059 | + | 0.250849i | ||||
\(857\) | 2.60309e10 | 1.41272 | 0.706359 | − | 0.707853i | \(-0.250336\pi\) | ||||
0.706359 | + | 0.707853i | \(0.250336\pi\) | |||||||
\(858\) | −7.31452e9 | − | 1.25751e9i | −0.395349 | − | 0.0679684i | ||||
\(859\) | −1.60096e10 | −0.861798 | −0.430899 | − | 0.902400i | \(-0.641803\pi\) | ||||
−0.430899 | + | 0.902400i | \(0.641803\pi\) | |||||||
\(860\) | 5.23154e8 | − | 1.61010e9i | 0.0280469 | − | 0.0863195i | ||||
\(861\) | −2.30990e10 | − | 1.78515e10i | −1.23334 | − | 0.953157i | ||||
\(862\) | 1.44152e10 | + | 1.04733e10i | 0.766558 | + | 0.556937i | ||||
\(863\) | 1.53260e10 | − | 4.97971e9i | 0.811689 | − | 0.263734i | 0.126376 | − | 0.991982i | \(-0.459665\pi\) |
0.685313 | + | 0.728249i | \(0.259665\pi\) | |||||||
\(864\) | −1.10007e10 | − | 4.69069e9i | −0.580257 | − | 0.247422i | ||||
\(865\) | 2.60856e9 | − | 3.59038e9i | 0.137039 | − | 0.188618i | ||||
\(866\) | 2.16319e10 | − | 1.57165e10i | 1.13183 | − | 0.822326i | ||||
\(867\) | −1.10742e9 | + | 3.73611e10i | −0.0577093 | + | 1.94694i | ||||
\(868\) | − | 6.81693e9i | − | 0.353810i | ||||||
\(869\) | 8.62654e9 | − | 8.91524e9i | 0.445931 | − | 0.460854i | ||||
\(870\) | 2.83973e9 | + | 9.70976e9i | 0.146204 | + | 0.499909i | ||||
\(871\) | −2.92390e9 | − | 9.50033e8i | −0.149934 | − | 0.0487164i | ||||
\(872\) | 1.72705e10 | + | 2.37708e10i | 0.882059 | + | 1.21405i | ||||
\(873\) | −1.93553e10 | − | 1.14843e9i | −0.984580 | − | 0.0584192i | ||||
\(874\) | 8.14518e8 | + | 2.50683e9i | 0.0412678 | + | 0.127009i | ||||
\(875\) | −7.08675e9 | − | 2.18108e10i | −0.357618 | − | 1.10063i | ||||
\(876\) | −3.24375e9 | + | 9.06053e9i | −0.163036 | + | 0.455396i | ||||
\(877\) | 9.25858e9 | + | 1.27433e10i | 0.463496 | + | 0.637947i | 0.975229 | − | 0.221197i | \(-0.0709965\pi\) |
−0.511733 | + | 0.859144i | \(0.670996\pi\) | |||||||
\(878\) | −2.17305e10 | − | 7.06065e9i | −1.08352 | − | 0.352058i | ||||
\(879\) | −2.56712e10 | + | 7.50784e9i | −1.27493 | + | 0.372867i | ||||
\(880\) | −4.97384e9 | + | 8.71910e8i | −0.246038 | + | 0.0431303i | ||||
\(881\) | 1.81847e10i | 0.895964i | 0.894042 | + | 0.447982i | \(0.147857\pi\) | ||||
−0.894042 | + | 0.447982i | \(0.852143\pi\) | |||||||
\(882\) | 4.51171e9 | + | 1.73153e10i | 0.221412 | + | 0.849748i | ||||
\(883\) | 8.97165e9 | − | 6.51829e9i | 0.438541 | − | 0.318619i | −0.346514 | − | 0.938045i | \(-0.612635\pi\) |
0.785055 | + | 0.619426i | \(0.212635\pi\) | |||||||
\(884\) | −3.36286e9 | + | 4.62858e9i | −0.163729 | + | 0.225354i | ||||
\(885\) | 5.46091e8 | + | 8.00473e8i | 0.0264828 | + | 0.0388191i | ||||
\(886\) | 1.26729e10 | − | 4.11767e9i | 0.612149 | − | 0.198899i | ||||
\(887\) | 1.04445e10 | + | 7.58836e9i | 0.502521 | + | 0.365103i | 0.809979 | − | 0.586459i | \(-0.199478\pi\) |
−0.307458 | + | 0.951562i | \(0.599478\pi\) | |||||||
\(888\) | 1.56541e10 | − | 2.02557e10i | 0.750212 | − | 0.970738i | ||||
\(889\) | 3.47705e9 | − | 1.07012e10i | 0.165979 | − | 0.510832i | ||||
\(890\) | 7.44961e9 | 0.354216 | ||||||||
\(891\) | −1.16083e9 | − | 2.10821e10i | −0.0549788 | − | 0.998488i | ||||
\(892\) | −1.95197e9 | −0.0920864 | ||||||||
\(893\) | −1.23431e10 | + | 3.79883e10i | −0.580024 | + | 1.78513i | ||||
\(894\) | 2.78879e9 | − | 3.60855e9i | 0.130537 | − | 0.168909i | ||||
\(895\) | 6.90490e9 | + | 5.01670e9i | 0.321941 | + | 0.233904i | ||||
\(896\) | −7.34686e9 | + | 2.38714e9i | −0.341212 | + | 0.110866i | ||||
\(897\) | −7.23970e8 | − | 1.06121e9i | −0.0334925 | − | 0.0490941i | ||||
\(898\) | −3.84681e9 | + | 5.29469e9i | −0.177270 | + | 0.243991i | ||||
\(899\) | 1.86746e10 | − | 1.35679e10i | 0.857220 | − | 0.622807i | ||||
\(900\) | 1.46101e9 | + | 5.60714e9i | 0.0668043 | + | 0.256385i | ||||
\(901\) | − | 1.67883e10i | − | 0.764662i | ||||||
\(902\) | 1.93242e10 | + | 2.73549e9i | 0.876755 | + | 0.124111i | ||||
\(903\) | 1.87976e10 | − | 5.49759e9i | 0.849563 | − | 0.248465i | ||||
\(904\) | −1.95454e10 | − | 6.35067e9i | −0.879942 | − | 0.285911i | ||||
\(905\) | 6.20566e9 | + | 8.54136e9i | 0.278303 | + | 0.383051i | ||||
\(906\) | −1.96563e9 | + | 5.49044e9i | −0.0878116 | + | 0.245278i | ||||
\(907\) | 6.25102e9 | + | 1.92387e10i | 0.278180 | + | 0.856150i | 0.988360 | + | 0.152130i | \(0.0486133\pi\) |
−0.710181 | + | 0.704020i | \(0.751387\pi\) | |||||||
\(908\) | −3.64260e8 | − | 1.12108e9i | −0.0161477 | − | 0.0496976i | ||||
\(909\) | −6.68743e9 | − | 3.96793e8i | −0.295315 | − | 0.0175223i | ||||
\(910\) | −3.44456e9 | − | 4.74103e9i | −0.151527 | − | 0.208558i | ||||
\(911\) | −1.67995e10 | − | 5.45850e9i | −0.736178 | − | 0.239199i | −0.0831548 | − | 0.996537i | \(-0.526500\pi\) |
−0.653023 | + | 0.757338i | \(0.726500\pi\) | |||||||
\(912\) | −4.84824e9 | − | 1.65773e10i | −0.211642 | − | 0.723656i | ||||
\(913\) | −3.10540e10 | − | 4.39593e9i | −1.35042 | − | 0.191163i | ||||
\(914\) | 2.29139e10i | 0.992631i | ||||||||
\(915\) | 2.46779e8 | − | 8.32559e9i | 0.0106496 | − | 0.359287i | ||||
\(916\) | 9.17533e9 | − | 6.66627e9i | 0.394446 | − | 0.286582i | ||||
\(917\) | 4.60740e9 | − | 6.34154e9i | 0.197317 | − | 0.271583i | ||||
\(918\) | 3.02822e10 | + | 1.29124e10i | 1.29193 | + | 0.550879i | ||||
\(919\) | 1.96222e9 | − | 6.37564e8i | 0.0833956 | − | 0.0270969i | −0.267022 | − | 0.963690i | \(-0.586040\pi\) |
0.350418 | + | 0.936594i | \(0.386040\pi\) | |||||||
\(920\) | −1.12510e9 | − | 8.17431e8i | −0.0476357 | − | 0.0346094i | ||||
\(921\) | −2.32409e10 | − | 1.79612e10i | −0.980269 | − | 0.757578i | ||||
\(922\) | 1.81100e9 | − | 5.57367e9i | 0.0760956 | − | 0.234198i | ||||
\(923\) | 1.39015e10 | 0.581909 | ||||||||
\(924\) | 7.97087e9 | + | 8.18373e9i | 0.332394 | + | 0.341271i | ||||
\(925\) | −2.17237e10 | −0.902480 | ||||||||
\(926\) | 4.51678e8 | − | 1.39012e9i | 0.0186935 | − | 0.0575326i | ||||
\(927\) | 3.93650e8 | − | 1.00470e9i | 0.0162305 | − | 0.0414246i | ||||
\(928\) | 1.77257e10 | + | 1.28785e10i | 0.728090 | + | 0.528988i | ||||
\(929\) | −1.07108e9 | + | 3.48015e8i | −0.0438295 | + | 0.0142411i | −0.330850 | − | 0.943683i | \(-0.607335\pi\) |
0.287020 | + | 0.957925i | \(0.407335\pi\) | |||||||
\(930\) | 5.49408e9 | − | 3.74811e9i | 0.223978 | − | 0.152800i | ||||
\(931\) | 2.09280e10 | − | 2.88049e10i | 0.849969 | − | 1.16988i | ||||
\(932\) | −1.03400e10 | + | 7.51247e9i | −0.418376 | + | 0.303968i | ||||
\(933\) | 2.53527e10 | + | 7.51480e8i | 1.02197 | + | 0.0302923i | ||||
\(934\) | 1.72814e9i | 0.0694008i | ||||||||
\(935\) | −1.88640e10 | + | 3.30684e9i | −0.754731 | + | 0.132304i | ||||
\(936\) | 7.21693e9 | + | 1.12829e10i | 0.287665 | + | 0.449734i | ||||
\(937\) | 3.40847e10 | + | 1.10748e10i | 1.35354 | + | 0.439792i | 0.893882 | − | 0.448303i | \(-0.147971\pi\) |
0.459660 | + | 0.888095i | \(0.347971\pi\) | |||||||
\(938\) | −5.62594e9 | − | 7.74344e9i | −0.222579 | − | 0.306354i | ||||
\(939\) | 1.09646e10 | + | 3.92543e9i | 0.432179 | + | 0.154724i | ||||
\(940\) | −1.61895e9 | − | 4.98260e9i | −0.0635748 | − | 0.195663i | ||||
\(941\) | −1.31354e8 | − | 4.04267e8i | −0.00513902 | − | 0.0158163i | 0.948454 | − | 0.316914i | \(-0.102647\pi\) |
−0.953593 | + | 0.301098i | \(0.902647\pi\) | |||||||
\(942\) | 2.36848e10 | + | 8.47938e9i | 0.923192 | + | 0.330511i | ||||
\(943\) | 1.98564e9 | + | 2.73299e9i | 0.0771096 | + | 0.106132i | ||||
\(944\) | −1.44869e9 | − | 4.70709e8i | −0.0560498 | − | 0.0182117i | ||||
\(945\) | 1.09580e10 | − | 1.25643e10i | 0.422397 | − | 0.484315i | ||||
\(946\) | −9.10483e9 | + | 9.40953e9i | −0.349665 | + | 0.361367i | ||||
\(947\) | − | 4.68899e10i | − | 1.79413i | −0.441895 | − | 0.897067i | \(-0.645694\pi\) | ||
0.441895 | − | 0.897067i | \(-0.354306\pi\) | |||||||
\(948\) | −5.56295e9 | − | 1.64891e8i | −0.212068 | − | 0.00628592i | ||||
\(949\) | 1.52717e10 | − | 1.10956e10i | 0.580038 | − | 0.421422i | ||||
\(950\) | −1.37072e10 | + | 1.88664e10i | −0.518701 | + | 0.713931i | ||||
\(951\) | −3.30651e10 | + | 2.25573e10i | −1.24663 | + | 0.850464i | ||||
\(952\) | −6.81434e10 | + | 2.21411e10i | −2.55973 | + | 0.831707i | ||||
\(953\) | −2.23363e10 | − | 1.62283e10i | −0.835962 | − | 0.607362i | 0.0852778 | − | 0.996357i | \(-0.472822\pi\) |
−0.921240 | + | 0.388995i | \(0.872822\pi\) | |||||||
\(954\) | −9.09691e9 | − | 3.56424e9i | −0.339215 | − | 0.132907i | ||||
\(955\) | −6.45971e9 | + | 1.98809e10i | −0.239994 | + | 0.738627i | ||||
\(956\) | 2.08031e8 | 0.00770060 | ||||||||
\(957\) | −6.55428e9 | + | 3.81240e10i | −0.241732 | + | 1.40607i | ||||
\(958\) | −1.76503e10 | −0.648593 | ||||||||
\(959\) | −3.40922e8 | + | 1.04925e9i | −0.0124822 | + | 0.0384161i | ||||
\(960\) | 1.04130e10 | + | 8.04744e9i | 0.379862 | + | 0.293568i | ||||
\(961\) | 9.98108e9 | + | 7.25168e9i | 0.362782 | + | 0.263576i | ||||
\(962\) | −1.18720e10 | + | 3.85744e9i | −0.429943 | + | 0.139697i | ||||
\(963\) | 5.18878e9 | + | 4.26144e9i | 0.187229 | + | 0.153768i | ||||
\(964\) | −7.23433e9 | + | 9.95720e9i | −0.260093 | + | 0.357987i | ||||
\(965\) | −1.60732e10 | + | 1.16779e10i | −0.575780 | + | 0.418329i | ||||
\(966\) | 1.18496e8 | − | 3.99771e9i | 0.00422945 | − | 0.142689i | ||||
\(967\) | − | 5.34319e9i | − | 0.190024i | −0.995476 | − | 0.0950119i | \(-0.969711\pi\) | ||
0.995476 | − | 0.0950119i | \(-0.0302889\pi\) | |||||||
\(968\) | −2.95153e10 | − | 8.52710e9i | −1.04588 | − | 0.302161i | ||||
\(969\) | −1.83876e10 | − | 6.28717e10i | −0.649220 | − | 2.21984i | ||||
\(970\) | 9.73425e9 | + | 3.16285e9i | 0.342453 | + | 0.111270i | ||||
\(971\) | −3.27995e9 | − | 4.51446e9i | −0.114974 | − | 0.158248i | 0.747651 | − | 0.664091i | \(-0.231181\pi\) |
−0.862625 | + | 0.505843i | \(0.831181\pi\) | |||||||
\(972\) | −6.63785e9 | + | 6.75731e9i | −0.231844 | + | 0.236016i | ||||
\(973\) | −3.08781e9 | − | 9.50332e9i | −0.107462 | − | 0.330735i | ||||
\(974\) | −7.52982e9 | − | 2.31744e10i | −0.261113 | − | 0.803623i | ||||
\(975\) | 3.83090e9 | − | 1.07006e10i | 0.132369 | − | 0.369736i | ||||
\(976\) | 7.69604e9 | + | 1.05927e10i | 0.264968 | + | 0.364697i | ||||
\(977\) | −2.25540e10 | − | 7.32825e9i | −0.773737 | − | 0.251402i | −0.104573 | − | 0.994517i | \(-0.533348\pi\) |
−0.669164 | + | 0.743115i | \(0.733348\pi\) | |||||||
\(978\) | 1.99638e10 | − | 5.83865e9i | 0.682428 | − | 0.199584i | ||||
\(979\) | 2.55903e10 | + | 1.25128e10i | 0.871639 | + | 0.426203i | ||||
\(980\) | 4.66998e9i | 0.158498i | ||||||||
\(981\) | 3.94426e10 | − | 1.02773e10i | 1.33390 | − | 0.347565i | ||||
\(982\) | 2.42184e10 | − | 1.75957e10i | 0.816123 | − | 0.592948i | ||||
\(983\) | 2.72003e10 | − | 3.74380e10i | 0.913348 | − | 1.25712i | −0.0526622 | − | 0.998612i | \(-0.516771\pi\) |
0.966010 | − | 0.258504i | \(-0.0832294\pi\) | |||||||
\(984\) | −1.98488e10 | − | 2.90948e10i | −0.664126 | − | 0.973493i | ||||
\(985\) | 9.99858e9 | − | 3.24873e9i | 0.333358 | − | 0.108315i | ||||
\(986\) | −4.87947e10 | − | 3.54514e10i | −1.62107 | − | 1.17778i | ||||
\(987\) | 3.70613e10 | − | 4.79555e10i | 1.22690 | − | 1.58756i | ||||
\(988\) | 2.04732e9 | − | 6.30100e9i | 0.0675362 | − | 0.207855i | ||||
\(989\) | −2.26633e9 | −0.0744967 | ||||||||
\(990\) | −2.21307e9 | + | 1.09237e10i | −0.0724890 | + | 0.357805i | ||||
\(991\) | −1.68460e10 | −0.549843 | −0.274921 | − | 0.961467i | \(-0.588652\pi\) | ||||
−0.274921 | + | 0.961467i | \(0.588652\pi\) | |||||||
\(992\) | 4.45115e9 | − | 1.36992e10i | 0.144771 | − | 0.445559i | ||||
\(993\) | −1.92456e9 | + | 2.49028e9i | −0.0623746 | + | 0.0807097i | ||||
\(994\) | 3.50137e10 | + | 2.54389e10i | 1.13080 | + | 0.821574i | ||||
\(995\) | 6.67429e9 | − | 2.16861e9i | 0.214795 | − | 0.0697911i | ||||
\(996\) | 7.92944e9 | + | 1.16232e10i | 0.254293 | + | 0.372749i | ||||
\(997\) | −4.14219e9 | + | 5.70123e9i | −0.132372 | + | 0.182195i | −0.870058 | − | 0.492950i | \(-0.835919\pi\) |
0.737686 | + | 0.675144i | \(0.235919\pi\) | |||||||
\(998\) | −3.50065e10 | + | 2.54337e10i | −1.11479 | + | 0.809940i | ||||
\(999\) | −1.82405e10 | − | 3.04697e10i | −0.578839 | − | 0.966917i |
(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.2.18 | yes | 104 | |
3.2 | odd | 2 | inner | 33.8.f.a.2.9 | ✓ | 104 | |
11.6 | odd | 10 | inner | 33.8.f.a.17.9 | yes | 104 | |
33.17 | even | 10 | inner | 33.8.f.a.17.18 | yes | 104 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.8.f.a.2.9 | ✓ | 104 | 3.2 | odd | 2 | inner | |
33.8.f.a.2.18 | yes | 104 | 1.1 | even | 1 | trivial | |
33.8.f.a.17.9 | yes | 104 | 11.6 | odd | 10 | inner | |
33.8.f.a.17.18 | yes | 104 | 33.17 | even | 10 | inner |