Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(25,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 3]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.25");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 91.25 |
Dual form | 91.8.r.a.51.4 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −17.5746 | + | 10.1467i | −1.55339 | + | 0.896848i | −0.555523 | + | 0.831501i | \(0.687482\pi\) |
−0.997863 | + | 0.0653463i | \(0.979185\pi\) | |||||||
\(3\) | −9.13036 | + | 15.8143i | −0.195238 | + | 0.338162i | −0.946978 | − | 0.321297i | \(-0.895881\pi\) |
0.751741 | + | 0.659459i | \(0.229214\pi\) | |||||||
\(4\) | 141.910 | − | 245.795i | 1.10867 | − | 1.92027i | ||||
\(5\) | −149.843 | + | 86.5119i | −0.536095 | + | 0.309514i | −0.743495 | − | 0.668742i | \(-0.766833\pi\) |
0.207400 | + | 0.978256i | \(0.433500\pi\) | |||||||
\(6\) | − | 370.571i | − | 0.700394i | ||||||
\(7\) | −905.314 | − | 62.8521i | −0.997599 | − | 0.0692590i | ||||
\(8\) | 3162.10i | 2.18354i | ||||||||
\(9\) | 926.773 | + | 1605.22i | 0.423764 | + | 0.733982i | ||||
\(10\) | 1755.62 | − | 3040.82i | 0.555175 | − | 0.961591i | ||||
\(11\) | 738.586 | + | 426.423i | 0.167312 | + | 0.0965976i | 0.581318 | − | 0.813677i | \(-0.302537\pi\) |
−0.414006 | + | 0.910274i | \(0.635871\pi\) | |||||||
\(12\) | 2591.38 | + | 4488.40i | 0.432909 | + | 0.749820i | ||||
\(13\) | 1924.10 | + | 7684.16i | 0.242899 | + | 0.970052i | ||||
\(14\) | 16548.2 | − | 8081.32i | 1.61177 | − | 0.787108i | ||||
\(15\) | − | 3159.54i | − | 0.241716i | ||||||
\(16\) | −13920.4 | − | 24110.8i | −0.849632 | − | 1.47161i | ||||
\(17\) | −10574.8 | + | 18316.1i | −0.522037 | + | 0.904195i | 0.477634 | + | 0.878559i | \(0.341494\pi\) |
−0.999671 | + | 0.0256361i | \(0.991839\pi\) | |||||||
\(18\) | −32575.2 | − | 18807.3i | −1.31654 | − | 0.760104i | ||||
\(19\) | −45892.1 | + | 26495.8i | −1.53497 | + | 0.886216i | −0.535849 | + | 0.844314i | \(0.680008\pi\) |
−0.999122 | + | 0.0419018i | \(0.986658\pi\) | |||||||
\(20\) | 49107.6i | 1.37260i | ||||||||
\(21\) | 9259.80 | − | 13743.0i | 0.218190 | − | 0.323828i | ||||
\(22\) | −17307.1 | −0.346533 | ||||||||
\(23\) | −29550.3 | − | 51182.7i | −0.506425 | − | 0.877154i | −0.999972 | − | 0.00743470i | \(-0.997633\pi\) |
0.493548 | − | 0.869719i | \(-0.335700\pi\) | |||||||
\(24\) | −50006.3 | − | 28871.2i | −0.738390 | − | 0.426309i | ||||
\(25\) | −24093.9 | + | 41731.8i | −0.308402 | + | 0.534167i | ||||
\(26\) | −111784. | − | 115523.i | −1.24730 | − | 1.28902i | ||||
\(27\) | −73783.3 | −0.721415 | ||||||||
\(28\) | −143922. | + | 213602.i | −1.23901 | + | 1.83888i | ||||
\(29\) | −9939.75 | −0.0756802 | −0.0378401 | − | 0.999284i | \(-0.512048\pi\) | ||||
−0.0378401 | + | 0.999284i | \(0.512048\pi\) | |||||||
\(30\) | 32058.8 | + | 55527.5i | 0.216782 | + | 0.375477i | ||||
\(31\) | 239567. | + | 138314.i | 1.44431 | + | 0.833873i | 0.998133 | − | 0.0610722i | \(-0.0194520\pi\) |
0.446177 | + | 0.894945i | \(0.352785\pi\) | |||||||
\(32\) | 138765. | + | 80116.1i | 0.748610 | + | 0.432210i | ||||
\(33\) | −13487.1 | + | 7786.79i | −0.0653312 | + | 0.0377190i | ||||
\(34\) | − | 429197.i | − | 1.87275i | ||||||
\(35\) | 141092. | − | 68902.5i | 0.556244 | − | 0.271642i | ||||
\(36\) | 526073. | 1.87926 | ||||||||
\(37\) | −448585. | + | 258991.i | −1.45592 | + | 0.840578i | −0.998807 | − | 0.0488291i | \(-0.984451\pi\) |
−0.457116 | + | 0.889407i | \(0.651118\pi\) | |||||||
\(38\) | 537688. | − | 931304.i | 1.58960 | − | 2.75327i | ||||
\(39\) | −139087. | − | 39731.1i | −0.375457 | − | 0.107252i | ||||
\(40\) | −273560. | − | 473819.i | −0.675837 | − | 1.17058i | ||||
\(41\) | − | 104730.i | − | 0.237317i | −0.992935 | − | 0.118659i | \(-0.962141\pi\) | ||
0.992935 | − | 0.118659i | \(-0.0378594\pi\) | |||||||
\(42\) | −23291.2 | + | 335483.i | −0.0485086 | + | 0.698712i | ||||
\(43\) | 319415. | 0.612654 | 0.306327 | − | 0.951926i | \(-0.400900\pi\) | ||||
0.306327 | + | 0.951926i | \(0.400900\pi\) | |||||||
\(44\) | 209625. | − | 121027.i | 0.370988 | − | 0.214190i | ||||
\(45\) | −277741. | − | 160354.i | −0.454356 | − | 0.262322i | ||||
\(46\) | 1.03867e6 | + | 599675.i | 1.57335 | + | 0.908372i | ||||
\(47\) | 1.02917e6 | − | 594194.i | 1.44593 | − | 0.834807i | 0.447692 | − | 0.894188i | \(-0.352246\pi\) |
0.998235 | + | 0.0593812i | \(0.0189127\pi\) | |||||||
\(48\) | 508392. | 0.663521 | ||||||||
\(49\) | 815642. | + | 113802.i | 0.990406 | + | 0.138185i | ||||
\(50\) | − | 977891.i | − | 1.10636i | ||||||
\(51\) | −193104. | − | 334466.i | −0.203843 | − | 0.353066i | ||||
\(52\) | 2.16178e6 | + | 617525.i | 2.13206 | + | 0.609036i | ||||
\(53\) | −897631. | + | 1.55474e6i | −0.828194 | + | 1.43447i | 0.0712588 | + | 0.997458i | \(0.477298\pi\) |
−0.899453 | + | 0.437017i | \(0.856035\pi\) | |||||||
\(54\) | 1.29671e6 | − | 748655.i | 1.12064 | − | 0.646999i | ||||
\(55\) | −147563. | −0.119593 | ||||||||
\(56\) | 198745. | − | 2.86270e6i | 0.151230 | − | 2.17830i | ||||
\(57\) | − | 967665.i | − | 0.692091i | ||||||
\(58\) | 174687. | − | 100855.i | 0.117561 | − | 0.0678736i | ||||
\(59\) | 327222. | + | 188922.i | 0.207425 | + | 0.119757i | 0.600114 | − | 0.799914i | \(-0.295122\pi\) |
−0.392689 | + | 0.919671i | \(0.628455\pi\) | |||||||
\(60\) | −776600. | − | 448370.i | −0.464160 | − | 0.267983i | ||||
\(61\) | −442226. | − | 765957.i | −0.249453 | − | 0.432066i | 0.713921 | − | 0.700226i | \(-0.246918\pi\) |
−0.963374 | + | 0.268160i | \(0.913584\pi\) | |||||||
\(62\) | −5.61370e6 | −2.99143 | ||||||||
\(63\) | −738129. | − | 1.51147e6i | −0.371912 | − | 0.761569i | ||||
\(64\) | 311966. | 0.148757 | ||||||||
\(65\) | −953084. | − | 984961.i | −0.430462 | − | 0.444859i | ||||
\(66\) | 158020. | − | 273699.i | 0.0676563 | − | 0.117184i | ||||
\(67\) | −2.24534e6 | − | 1.29635e6i | −0.912053 | − | 0.526574i | −0.0309617 | − | 0.999521i | \(-0.509857\pi\) |
−0.881091 | + | 0.472947i | \(0.843190\pi\) | |||||||
\(68\) | 3.00134e6 | + | 5.19847e6i | 1.15753 | + | 2.00491i | ||||
\(69\) | 1.07922e6 | 0.395493 | ||||||||
\(70\) | −1.78050e6 | + | 2.64255e6i | −0.620440 | + | 0.920831i | ||||
\(71\) | − | 5.15129e6i | − | 1.70809i | −0.520195 | − | 0.854047i | \(-0.674141\pi\) | ||
0.520195 | − | 0.854047i | \(-0.325859\pi\) | |||||||
\(72\) | −5.07587e6 | + | 2.93055e6i | −1.60268 | + | 0.925307i | ||||
\(73\) | 1.82473e6 | + | 1.05351e6i | 0.548996 | + | 0.316963i | 0.748717 | − | 0.662890i | \(-0.230670\pi\) |
−0.199721 | + | 0.979853i | \(0.564004\pi\) | |||||||
\(74\) | 5.25578e6 | − | 9.10329e6i | 1.50774 | − | 2.61148i | ||||
\(75\) | −439972. | − | 762053.i | −0.120423 | − | 0.208579i | ||||
\(76\) | 1.50401e7i | 3.93009i | ||||||||
\(77\) | −641850. | − | 432468.i | −0.160220 | − | 0.107953i | ||||
\(78\) | 2.84753e6 | − | 713015.i | 0.679418 | − | 0.170125i | ||||
\(79\) | 2.89244e6 | + | 5.00986e6i | 0.660040 | + | 1.14322i | 0.980605 | + | 0.195996i | \(0.0627940\pi\) |
−0.320565 | + | 0.947227i | \(0.603873\pi\) | |||||||
\(80\) | 4.17174e6 | + | 2.40856e6i | 0.910966 | + | 0.525947i | ||||
\(81\) | −1.35318e6 | + | 2.34378e6i | −0.282917 | + | 0.490027i | ||||
\(82\) | 1.06266e6 | + | 1.84059e6i | 0.212837 | + | 0.368645i | ||||
\(83\) | 103458.i | 0.0198606i | 0.999951 | + | 0.00993030i | \(0.00316096\pi\) | ||||
−0.999951 | + | 0.00993030i | \(0.996839\pi\) | |||||||
\(84\) | −2.06390e6 | − | 4.22628e6i | −0.379937 | − | 0.778002i | ||||
\(85\) | − | 3.65939e6i | − | 0.646312i | ||||||
\(86\) | −5.61357e6 | + | 3.24100e6i | −0.951688 | + | 0.549457i | ||||
\(87\) | 90753.5 | − | 157190.i | 0.0147756 | − | 0.0255922i | ||||
\(88\) | −1.34839e6 | + | 2.33549e6i | −0.210925 | + | 0.365332i | ||||
\(89\) | 3.07050e6 | − | 1.77276e6i | 0.461684 | − | 0.266553i | −0.251068 | − | 0.967969i | \(-0.580782\pi\) |
0.712752 | + | 0.701416i | \(0.247448\pi\) | |||||||
\(90\) | 6.50823e6 | 0.941053 | ||||||||
\(91\) | −1.25894e6 | − | 7.07751e6i | −0.175130 | − | 0.984545i | ||||
\(92\) | −1.67739e7 | −2.24583 | ||||||||
\(93\) | −4.37466e6 | + | 2.52571e6i | −0.563968 | + | 0.325607i | ||||
\(94\) | −1.20582e7 | + | 2.08854e7i | −1.49739 | + | 2.59355i | ||||
\(95\) | 4.58441e6 | − | 7.94042e6i | 0.548593 | − | 0.950191i | ||||
\(96\) | −2.53395e6 | + | 1.46298e6i | −0.292314 | + | 0.168767i | ||||
\(97\) | − | 1.22083e7i | − | 1.35817i | −0.734059 | − | 0.679085i | \(-0.762377\pi\) | ||
0.734059 | − | 0.679085i | \(-0.237623\pi\) | |||||||
\(98\) | −1.54893e7 | + | 6.27604e6i | −1.66241 | + | 0.673588i | ||||
\(99\) | 1.58079e6i | 0.163738i | ||||||||
\(100\) | 6.83832e6 | + | 1.18443e7i | 0.683832 | + | 1.18443i | ||||
\(101\) | 2.15768e6 | − | 3.73722e6i | 0.208383 | − | 0.360930i | −0.742822 | − | 0.669489i | \(-0.766513\pi\) |
0.951205 | + | 0.308558i | \(0.0998466\pi\) | |||||||
\(102\) | 6.78742e6 | + | 3.91872e6i | 0.633293 | + | 0.365632i | ||||
\(103\) | 115057. | + | 199284.i | 0.0103748 | + | 0.0179697i | 0.871166 | − | 0.490988i | \(-0.163364\pi\) |
−0.860791 | + | 0.508958i | \(0.830031\pi\) | |||||||
\(104\) | −2.42981e7 | + | 6.08419e6i | −2.11815 | + | 0.530379i | ||||
\(105\) | −198584. | + | 2.86038e6i | −0.0167410 | + | 0.241135i | ||||
\(106\) | − | 3.64319e7i | − | 2.97106i | ||||||
\(107\) | −462182. | − | 800523.i | −0.0364729 | − | 0.0631729i | 0.847213 | − | 0.531254i | \(-0.178279\pi\) |
−0.883686 | + | 0.468081i | \(0.844946\pi\) | |||||||
\(108\) | −1.04706e7 | + | 1.81356e7i | −0.799811 | + | 1.38531i | ||||
\(109\) | 409672. | + | 236524.i | 0.0303001 | + | 0.0174938i | 0.515074 | − | 0.857146i | \(-0.327765\pi\) |
−0.484773 | + | 0.874640i | \(0.661098\pi\) | |||||||
\(110\) | 2.59335e6 | − | 1.49727e6i | 0.185775 | − | 0.107257i | ||||
\(111\) | − | 9.45871e6i | − | 0.656450i | ||||||
\(112\) | 1.10869e7 | + | 2.27027e7i | 0.745670 | + | 1.52692i | ||||
\(113\) | −1.52647e7 | −0.995208 | −0.497604 | − | 0.867404i | \(-0.665787\pi\) | ||||
−0.497604 | + | 0.867404i | \(0.665787\pi\) | |||||||
\(114\) | 9.81858e6 | + | 1.70063e7i | 0.620700 | + | 1.07508i | ||||
\(115\) | 8.85582e6 | + | 5.11291e6i | 0.542983 | + | 0.313492i | ||||
\(116\) | −1.41055e6 | + | 2.44314e6i | −0.0839045 | + | 0.145327i | ||||
\(117\) | −1.05516e7 | + | 1.02101e7i | −0.609068 | + | 0.589357i | ||||
\(118\) | −7.66771e6 | −0.429614 | ||||||||
\(119\) | 1.07247e7 | − | 1.59172e7i | 0.583407 | − | 0.865868i | ||||
\(120\) | 9.99080e6 | 0.527796 | ||||||||
\(121\) | −9.37991e6 | − | 1.62465e7i | −0.481338 | − | 0.833702i | ||||
\(122\) | 1.55438e7 | + | 8.97423e6i | 0.774995 | + | 0.447443i | ||||
\(123\) | 1.65623e6 | + | 956226.i | 0.0802515 | + | 0.0463332i | ||||
\(124\) | 6.79938e7 | − | 3.92562e7i | 3.20253 | − | 1.84898i | ||||
\(125\) | − | 2.18551e7i | − | 1.00085i | ||||||
\(126\) | 2.83087e7 | + | 1.90739e7i | 1.26073 | + | 0.849461i | ||||
\(127\) | 8.81278e6 | 0.381769 | 0.190884 | − | 0.981613i | \(-0.438864\pi\) | ||||
0.190884 | + | 0.981613i | \(0.438864\pi\) | |||||||
\(128\) | −2.32446e7 | + | 1.34203e7i | −0.979687 | + | 0.565623i | ||||
\(129\) | −2.91637e6 | + | 5.05131e6i | −0.119613 | + | 0.207176i | ||||
\(130\) | 2.67441e7 | + | 7.63962e6i | 1.06764 | + | 0.304979i | ||||
\(131\) | −3.39639e6 | − | 5.88271e6i | −0.131998 | − | 0.228627i | 0.792449 | − | 0.609939i | \(-0.208806\pi\) |
−0.924447 | + | 0.381311i | \(0.875473\pi\) | |||||||
\(132\) | 4.42009e6i | 0.167272i | ||||||||
\(133\) | 4.32120e7 | − | 2.11026e7i | 1.59266 | − | 0.777777i | ||||
\(134\) | 5.26144e7 | 1.88903 | ||||||||
\(135\) | 1.10559e7 | − | 6.38314e6i | 0.386747 | − | 0.223288i | ||||
\(136\) | −5.79175e7 | − | 3.34387e7i | −1.97435 | − | 1.13989i | ||||
\(137\) | −3.58454e7 | − | 2.06954e7i | −1.19100 | − | 0.687624i | −0.232466 | − | 0.972605i | \(-0.574679\pi\) |
−0.958533 | + | 0.284981i | \(0.908013\pi\) | |||||||
\(138\) | −1.89668e7 | + | 1.09505e7i | −0.614353 | + | 0.354697i | ||||
\(139\) | −1.30491e7 | −0.412124 | −0.206062 | − | 0.978539i | \(-0.566065\pi\) | ||||
−0.206062 | + | 0.978539i | \(0.566065\pi\) | |||||||
\(140\) | 3.08651e6 | − | 4.44578e7i | 0.0950649 | − | 1.36930i | ||||
\(141\) | 2.17008e7i | 0.651943i | ||||||||
\(142\) | 5.22685e7 | + | 9.05317e7i | 1.53190 | + | 2.65333i | ||||
\(143\) | −1.85559e6 | + | 6.49590e6i | −0.0530648 | + | 0.185765i | ||||
\(144\) | 2.58020e7 | − | 4.46904e7i | 0.720088 | − | 1.24723i | ||||
\(145\) | 1.48940e6 | − | 859907.i | 0.0405718 | − | 0.0234241i | ||||
\(146\) | −4.27584e7 | −1.13707 | ||||||||
\(147\) | −9.24680e6 | + | 1.18597e7i | −0.240094 | + | 0.307938i | ||||
\(148\) | 1.47013e8i | 3.72770i | ||||||||
\(149\) | 3.75556e7 | − | 2.16827e7i | 0.930084 | − | 0.536984i | 0.0432460 | − | 0.999064i | \(-0.486230\pi\) |
0.886838 | + | 0.462080i | \(0.152897\pi\) | |||||||
\(150\) | 1.54646e7 | + | 8.92850e6i | 0.374127 | + | 0.216003i | ||||
\(151\) | 1.85148e7 | + | 1.06895e7i | 0.437622 | + | 0.252661i | 0.702588 | − | 0.711597i | \(-0.252028\pi\) |
−0.264966 | + | 0.964258i | \(0.585361\pi\) | |||||||
\(152\) | −8.37825e7 | − | 1.45116e8i | −1.93509 | − | 3.35167i | ||||
\(153\) | −3.92018e7 | −0.884883 | ||||||||
\(154\) | 1.56683e7 | + | 1.08779e6i | 0.345701 | + | 0.0240006i | ||||
\(155\) | −4.78632e7 | −1.03238 | ||||||||
\(156\) | −2.95035e7 | + | 2.85487e7i | −0.622211 | + | 0.602074i | ||||
\(157\) | 1.63772e7 | − | 2.83661e7i | 0.337746 | − | 0.584994i | −0.646262 | − | 0.763115i | \(-0.723669\pi\) |
0.984008 | + | 0.178122i | \(0.0570021\pi\) | |||||||
\(158\) | −1.01667e8 | − | 5.86974e7i | −2.05059 | − | 1.18391i | ||||
\(159\) | −1.63914e7 | − | 2.83907e7i | −0.323390 | − | 0.560127i | ||||
\(160\) | −2.77240e7 | −0.535101 | ||||||||
\(161\) | 2.35354e7 | + | 4.81937e7i | 0.444458 | + | 0.910122i | ||||
\(162\) | − | 5.49213e7i | − | 1.01493i | ||||||
\(163\) | −3.34359e7 | + | 1.93042e7i | −0.604723 | + | 0.349137i | −0.770897 | − | 0.636959i | \(-0.780192\pi\) |
0.166174 | + | 0.986096i | \(0.446859\pi\) | |||||||
\(164\) | −2.57422e7 | − | 1.48623e7i | −0.455714 | − | 0.263107i | ||||
\(165\) | 1.34730e6 | − | 2.33359e6i | 0.0233491 | − | 0.0404419i | ||||
\(166\) | −1.04976e6 | − | 1.81823e6i | −0.0178119 | − | 0.0308512i | ||||
\(167\) | 6.34365e7i | 1.05398i | 0.849872 | + | 0.526989i | \(0.176679\pi\) | ||||
−0.849872 | + | 0.526989i | \(0.823321\pi\) | |||||||
\(168\) | 4.34568e7 | + | 2.92805e7i | 0.707091 | + | 0.476426i | ||||
\(169\) | −5.53442e7 | + | 2.95701e7i | −0.882001 | + | 0.471248i | ||||
\(170\) | 3.71306e7 | + | 6.43121e7i | 0.579644 | + | 1.00397i | ||||
\(171\) | −8.50631e7 | − | 4.91112e7i | −1.30093 | − | 0.751093i | ||||
\(172\) | 4.53281e7 | − | 7.85106e7i | 0.679232 | − | 1.17646i | ||||
\(173\) | −1.36878e7 | − | 2.37080e7i | −0.200989 | − | 0.348123i | 0.747858 | − | 0.663858i | \(-0.231082\pi\) |
−0.948847 | + | 0.315735i | \(0.897749\pi\) | |||||||
\(174\) | 3.68339e6i | 0.0530060i | ||||||||
\(175\) | 2.44354e7 | − | 3.62660e7i | 0.344657 | − | 0.511525i | ||||
\(176\) | − | 2.37439e7i | − | 0.328289i | ||||||
\(177\) | −5.97531e6 | + | 3.44985e6i | −0.0809943 | + | 0.0467621i | ||||
\(178\) | −3.59752e7 | + | 6.23108e7i | −0.478115 | + | 0.828120i | ||||
\(179\) | 4.57167e7 | − | 7.91836e7i | 0.595784 | − | 1.03193i | −0.397651 | − | 0.917537i | \(-0.630175\pi\) |
0.993436 | − | 0.114392i | \(-0.0364921\pi\) | |||||||
\(180\) | −7.88284e7 | + | 4.55116e7i | −1.00746 | + | 0.581659i | ||||
\(181\) | −4.99849e7 | −0.626562 | −0.313281 | − | 0.949661i | \(-0.601428\pi\) | ||||
−0.313281 | + | 0.949661i | \(0.601428\pi\) | |||||||
\(182\) | 9.39386e7 | + | 1.11610e8i | 1.15503 | + | 1.37231i | ||||
\(183\) | 1.61507e7 | 0.194811 | ||||||||
\(184\) | 1.61845e8 | − | 9.34412e7i | 1.91530 | − | 1.10580i | ||||
\(185\) | 4.48115e7 | − | 7.76159e7i | 0.520342 | − | 0.901259i | ||||
\(186\) | 5.12551e7 | − | 8.87765e7i | 0.584039 | − | 1.01159i | ||||
\(187\) | −1.56208e7 | + | 9.01868e6i | −0.174686 | + | 0.100855i | ||||
\(188\) | − | 3.37288e8i | − | 3.70210i | ||||||
\(189\) | 6.67970e7 | + | 4.63743e6i | 0.719682 | + | 0.0499645i | ||||
\(190\) | 1.86066e8i | 1.96802i | ||||||||
\(191\) | 3.27303e7 | + | 5.66906e7i | 0.339886 | + | 0.588700i | 0.984411 | − | 0.175883i | \(-0.0562781\pi\) |
−0.644525 | + | 0.764583i | \(0.722945\pi\) | |||||||
\(192\) | −2.84836e6 | + | 4.93351e6i | −0.0290430 | + | 0.0503039i | ||||
\(193\) | 1.60416e8 | + | 9.26160e7i | 1.60619 | + | 0.927332i | 0.990213 | + | 0.139565i | \(0.0445705\pi\) |
0.615974 | + | 0.787767i | \(0.288763\pi\) | |||||||
\(194\) | 1.23874e8 | + | 2.14556e8i | 1.21807 | + | 2.10976i | ||||
\(195\) | 2.42784e7 | − | 6.07926e6i | 0.234477 | − | 0.0587124i | ||||
\(196\) | 1.43720e8 | − | 1.84331e8i | 1.36339 | − | 1.74865i | ||||
\(197\) | 6.60901e7i | 0.615892i | 0.951404 | + | 0.307946i | \(0.0996417\pi\) | ||||
−0.951404 | + | 0.307946i | \(0.900358\pi\) | |||||||
\(198\) | −1.60397e7 | − | 2.77817e7i | −0.146848 | − | 0.254349i | ||||
\(199\) | −6.79995e7 | + | 1.17779e8i | −0.611674 | + | 1.05945i | 0.379284 | + | 0.925280i | \(0.376170\pi\) |
−0.990958 | + | 0.134170i | \(0.957163\pi\) | |||||||
\(200\) | −1.31960e8 | − | 7.61873e7i | −1.16638 | − | 0.673407i | ||||
\(201\) | 4.10015e7 | − | 2.36722e7i | 0.356134 | − | 0.205614i | ||||
\(202\) | 8.75732e7i | 0.747552i | ||||||||
\(203\) | 8.99859e6 | + | 624734.i | 0.0754985 | + | 0.00524154i | ||||
\(204\) | −1.09613e8 | −0.903978 | ||||||||
\(205\) | 9.06042e6 | + | 1.56931e7i | 0.0734531 | + | 0.127224i | ||||
\(206\) | −4.04414e6 | − | 2.33488e6i | −0.0322322 | − | 0.0186093i | ||||
\(207\) | 5.47729e7 | − | 9.48694e7i | 0.429210 | − | 0.743413i | ||||
\(208\) | 1.58487e8 | − | 1.53358e8i | 1.22116 | − | 1.18164i | ||||
\(209\) | −4.51937e7 | −0.342425 | ||||||||
\(210\) | −2.55333e7 | − | 5.22848e7i | −0.190256 | − | 0.389590i | ||||
\(211\) | −1.02772e8 | −0.753161 | −0.376581 | − | 0.926384i | \(-0.622900\pi\) | ||||
−0.376581 | + | 0.926384i | \(0.622900\pi\) | |||||||
\(212\) | 2.54765e8 | + | 4.41267e8i | 1.83639 | + | 3.18072i | ||||
\(213\) | 8.14639e7 | + | 4.70332e7i | 0.577612 | + | 0.333485i | ||||
\(214\) | 1.62453e7 | + | 9.37922e6i | 0.113313 | + | 0.0654212i | ||||
\(215\) | −4.78621e7 | + | 2.76332e7i | −0.328441 | + | 0.189625i | ||||
\(216\) | − | 2.33311e8i | − | 1.57524i | ||||||
\(217\) | −2.08190e8 | − | 1.40275e8i | −1.38309 | − | 0.931902i | ||||
\(218\) | −9.59974e6 | −0.0627569 | ||||||||
\(219\) | −3.33209e7 | + | 1.92378e7i | −0.214369 | + | 0.123766i | ||||
\(220\) | −2.09406e7 | + | 3.62702e7i | −0.132590 | + | 0.229652i | ||||
\(221\) | −1.61091e8 | − | 4.60166e7i | −1.00392 | − | 0.286775i | ||||
\(222\) | 9.59744e7 | + | 1.66233e8i | 0.588735 | + | 1.01972i | ||||
\(223\) | 3.60815e7i | 0.217880i | 0.994048 | + | 0.108940i | \(0.0347456\pi\) | ||||
−0.994048 | + | 0.108940i | \(0.965254\pi\) | |||||||
\(224\) | −1.20591e8 | − | 8.12519e7i | −0.716878 | − | 0.483020i | ||||
\(225\) | −8.93182e7 | −0.522759 | ||||||||
\(226\) | 2.68270e8 | − | 1.54886e8i | 1.54594 | − | 0.892550i | ||||
\(227\) | −8.34479e7 | − | 4.81787e7i | −0.473505 | − | 0.273378i | 0.244201 | − | 0.969725i | \(-0.421474\pi\) |
−0.717706 | + | 0.696346i | \(0.754808\pi\) | |||||||
\(228\) | −2.37847e8 | − | 1.37321e8i | −1.32900 | − | 0.767301i | ||||
\(229\) | −5.59782e7 | + | 3.23190e7i | −0.308031 | + | 0.177842i | −0.646045 | − | 0.763299i | \(-0.723578\pi\) |
0.338014 | + | 0.941141i | \(0.390245\pi\) | |||||||
\(230\) | −2.07516e8 | −1.12462 | ||||||||
\(231\) | 1.26995e7 | − | 6.20180e6i | 0.0677867 | − | 0.0331036i | ||||
\(232\) | − | 3.14305e7i | − | 0.165251i | ||||||
\(233\) | 1.06506e8 | + | 1.84474e8i | 0.551607 | + | 0.955412i | 0.998159 | + | 0.0606538i | \(0.0193185\pi\) |
−0.446552 | + | 0.894758i | \(0.647348\pi\) | |||||||
\(234\) | 8.18407e7 | − | 2.86501e8i | 0.417555 | − | 1.46174i | ||||
\(235\) | −1.02810e8 | + | 1.78072e8i | −0.516769 | + | 0.895071i | ||||
\(236\) | 9.28721e7 | − | 5.36197e7i | 0.459932 | − | 0.265542i | ||||
\(237\) | −1.05636e8 | −0.515459 | ||||||||
\(238\) | −2.69759e7 | + | 3.88557e8i | −0.129705 | + | 1.86825i | ||||
\(239\) | 1.12585e8i | 0.533445i | 0.963773 | + | 0.266722i | \(0.0859407\pi\) | ||||
−0.963773 | + | 0.266722i | \(0.914059\pi\) | |||||||
\(240\) | −7.61790e7 | + | 4.39820e7i | −0.355710 | + | 0.205369i | ||||
\(241\) | 2.57986e8 | + | 1.48948e8i | 1.18723 | + | 0.685450i | 0.957677 | − | 0.287845i | \(-0.0929388\pi\) |
0.229558 | + | 0.973295i | \(0.426272\pi\) | |||||||
\(242\) | 3.29695e8 | + | 1.90350e8i | 1.49541 | + | 0.863373i | ||||
\(243\) | −1.05392e8 | − | 1.82545e8i | −0.471179 | − | 0.816107i | ||||
\(244\) | −2.51025e8 | −1.10625 | ||||||||
\(245\) | −1.32064e8 | + | 5.35104e7i | −0.573722 | + | 0.232465i | ||||
\(246\) | −3.88101e7 | −0.166215 | ||||||||
\(247\) | −2.91899e8 | − | 3.01662e8i | −1.23252 | − | 1.27374i | ||||
\(248\) | −4.37363e8 | + | 7.57535e8i | −1.82079 | + | 3.15371i | ||||
\(249\) | −1.63612e6 | − | 944613.i | −0.00671609 | − | 0.00387754i | ||||
\(250\) | 2.21757e8 | + | 3.84094e8i | 0.897608 | + | 1.55470i | ||||
\(251\) | 3.80819e8 | 1.52006 | 0.760030 | − | 0.649888i | \(-0.225184\pi\) | ||||
0.760030 | + | 0.649888i | \(0.225184\pi\) | |||||||
\(252\) | −4.76261e8 | − | 3.30648e7i | −1.87475 | − | 0.130156i | ||||
\(253\) | − | 5.04038e7i | − | 0.195678i | ||||||
\(254\) | −1.54881e8 | + | 8.94204e7i | −0.593034 | + | 0.342388i | ||||
\(255\) | 5.78705e7 | + | 3.34116e7i | 0.218558 | + | 0.126185i | ||||
\(256\) | 2.52377e8 | − | 4.37129e8i | 0.940176 | − | 1.62843i | ||||
\(257\) | −1.77040e8 | − | 3.06642e8i | −0.650588 | − | 1.12685i | −0.982981 | − | 0.183710i | \(-0.941189\pi\) |
0.332393 | − | 0.943141i | \(-0.392144\pi\) | |||||||
\(258\) | − | 1.18366e8i | − | 0.429099i | ||||||
\(259\) | 4.22388e8 | − | 2.06273e8i | 1.51064 | − | 0.737723i | ||||
\(260\) | −3.77351e8 | + | 9.44877e7i | −1.33149 | + | 0.333402i | ||||
\(261\) | −9.21189e6 | − | 1.59555e7i | −0.0320706 | − | 0.0555479i | ||||
\(262\) | 1.19380e8 | + | 6.89240e7i | 0.410088 | + | 0.236764i | ||||
\(263\) | −1.93890e8 | + | 3.35827e8i | −0.657219 | + | 1.13834i | 0.324114 | + | 0.946018i | \(0.394934\pi\) |
−0.981333 | + | 0.192318i | \(0.938399\pi\) | |||||||
\(264\) | −2.46227e7 | − | 4.26477e7i | −0.0823609 | − | 0.142653i | ||||
\(265\) | − | 3.10623e8i | − | 1.02535i | ||||||
\(266\) | −5.45311e8 | + | 8.09327e8i | −1.77647 | + | 2.63656i | ||||
\(267\) | 6.47436e7i | 0.208165i | ||||||||
\(268\) | −6.37271e8 | + | 3.67929e8i | −2.02233 | + | 1.16759i | ||||
\(269\) | 2.11562e8 | − | 3.66437e8i | 0.662683 | − | 1.14780i | −0.317225 | − | 0.948350i | \(-0.602751\pi\) |
0.979908 | − | 0.199450i | \(-0.0639155\pi\) | |||||||
\(270\) | −1.29535e8 | + | 2.24361e8i | −0.400511 | + | 0.693705i | ||||
\(271\) | 1.04273e8 | − | 6.02019e7i | 0.318257 | − | 0.183746i | −0.332358 | − | 0.943153i | \(-0.607844\pi\) |
0.650616 | + | 0.759407i | \(0.274511\pi\) | |||||||
\(272\) | 5.88821e8 | 1.77416 | ||||||||
\(273\) | 1.23420e8 | + | 4.47110e7i | 0.367127 | + | 0.132998i | ||||
\(274\) | 8.39956e8 | 2.46677 | ||||||||
\(275\) | −3.55908e7 | + | 2.05484e7i | −0.103198 | + | 0.0595817i | ||||
\(276\) | 1.53152e8 | − | 2.65267e8i | 0.438471 | − | 0.759455i | ||||
\(277\) | −3.90848e7 | + | 6.76969e7i | −0.110492 | + | 0.191377i | −0.915969 | − | 0.401250i | \(-0.868576\pi\) |
0.805477 | + | 0.592627i | \(0.201909\pi\) | |||||||
\(278\) | 2.29332e8 | − | 1.32405e8i | 0.640188 | − | 0.369613i | ||||
\(279\) | 5.12742e8i | 1.41346i | ||||||||
\(280\) | 2.17877e8 | + | 4.46149e8i | 0.593141 | + | 1.21458i | ||||
\(281\) | − | 6.41592e8i | − | 1.72499i | −0.506065 | − | 0.862495i | \(-0.668900\pi\) | ||
0.506065 | − | 0.862495i | \(-0.331100\pi\) | |||||||
\(282\) | −2.20191e8 | − | 3.81382e8i | −0.584693 | − | 1.01272i | ||||
\(283\) | −2.06444e8 | + | 3.57571e8i | −0.541438 | + | 0.937798i | 0.457384 | + | 0.889269i | \(0.348787\pi\) |
−0.998822 | + | 0.0485288i | \(0.984547\pi\) | |||||||
\(284\) | −1.26616e9 | − | 7.31019e8i | −3.28001 | − | 1.89372i | ||||
\(285\) | 8.37146e7 | + | 1.44998e8i | 0.214212 | + | 0.371026i | ||||
\(286\) | −3.33005e7 | − | 1.32991e8i | −0.0841724 | − | 0.336155i | ||||
\(287\) | −6.58252e6 | + | 9.48138e7i | −0.0164364 | + | 0.236747i | ||||
\(288\) | 2.96998e8i | 0.732621i | ||||||||
\(289\) | −1.84840e7 | − | 3.20152e7i | −0.0450456 | − | 0.0780213i | ||||
\(290\) | −1.74504e7 | + | 3.02250e7i | −0.0420157 | + | 0.0727734i | ||||
\(291\) | 1.93065e8 | + | 1.11466e8i | 0.459281 | + | 0.265166i | ||||
\(292\) | 5.17895e8 | − | 2.99007e8i | 1.21731 | − | 0.702815i | ||||
\(293\) | − | 4.92525e7i | − | 0.114391i | −0.998363 | − | 0.0571955i | \(-0.981784\pi\) | ||
0.998363 | − | 0.0571955i | \(-0.0182158\pi\) | |||||||
\(294\) | 4.21716e7 | − | 3.02254e8i | 0.0967842 | − | 0.693674i | ||||
\(295\) | −6.53759e7 | −0.148266 | ||||||||
\(296\) | −8.18955e8 | − | 1.41847e9i | −1.83544 | − | 3.17907i | ||||
\(297\) | −5.44953e7 | − | 3.14629e7i | −0.120701 | − | 0.0696869i | ||||
\(298\) | −4.40015e8 | + | 7.62128e8i | −0.963186 | + | 1.66829i | ||||
\(299\) | 3.36438e8 | − | 3.25550e8i | 0.727874 | − | 0.704318i | ||||
\(300\) | −2.49745e8 | −0.534039 | ||||||||
\(301\) | −2.89171e8 | − | 2.00759e7i | −0.611183 | − | 0.0424318i | ||||
\(302\) | −4.33852e8 | −0.906394 | ||||||||
\(303\) | 3.94008e7 | + | 6.82443e7i | 0.0813685 | + | 0.140934i | ||||
\(304\) | 1.27767e9 | + | 7.37663e8i | 2.60832 | + | 1.50591i | ||||
\(305\) | 1.32529e8 | + | 7.65156e7i | 0.267461 | + | 0.154419i | ||||
\(306\) | 6.88954e8 | − | 3.97768e8i | 1.37456 | − | 0.793605i | ||||
\(307\) | 3.57762e7i | 0.0705684i | 0.999377 | + | 0.0352842i | \(0.0112336\pi\) | ||||
−0.999377 | + | 0.0352842i | \(0.988766\pi\) | |||||||
\(308\) | −1.97383e8 | + | 9.63922e7i | −0.384931 | + | 0.187981i | ||||
\(309\) | −4.20203e6 | −0.00810223 | ||||||||
\(310\) | 8.41174e8 | − | 4.85652e8i | 1.60369 | − | 0.925890i | ||||
\(311\) | 2.66066e8 | − | 4.60839e8i | 0.501566 | − | 0.868737i | −0.498433 | − | 0.866928i | \(-0.666091\pi\) |
0.999998 | − | 0.00180869i | \(-0.000575724\pi\) | |||||||
\(312\) | 1.25634e8 | − | 4.39808e8i | 0.234188 | − | 0.819826i | ||||
\(313\) | 2.54509e8 | + | 4.40822e8i | 0.469135 | + | 0.812565i | 0.999377 | − | 0.0352807i | \(-0.0112325\pi\) |
−0.530243 | + | 0.847846i | \(0.677899\pi\) | |||||||
\(314\) | 6.64696e8i | 1.21163i | ||||||||
\(315\) | 2.41364e8 | + | 1.62627e8i | 0.435097 | + | 0.293161i | ||||
\(316\) | 1.64187e9 | 2.92707 | ||||||||
\(317\) | −9.90107e7 | + | 5.71638e7i | −0.174572 | + | 0.100789i | −0.584740 | − | 0.811221i | \(-0.698803\pi\) |
0.410168 | + | 0.912010i | \(0.365470\pi\) | |||||||
\(318\) | 5.76143e8 | + | 3.32636e8i | 1.00470 | + | 0.580062i | ||||
\(319\) | −7.34136e6 | − | 4.23854e6i | −0.0126622 | − | 0.00731053i | ||||
\(320\) | −4.67460e7 | + | 2.69888e7i | −0.0797479 | + | 0.0460425i | ||||
\(321\) | 1.68796e7 | 0.0284835 | ||||||||
\(322\) | −9.02629e8 | − | 6.08176e8i | −1.50665 | − | 1.01516i | ||||
\(323\) | − | 1.12075e9i | − | 1.85055i | ||||||
\(324\) | 3.84060e8 | + | 6.65212e8i | 0.627324 | + | 1.08656i | ||||
\(325\) | −3.67033e8 | − | 1.04845e8i | −0.593080 | − | 0.169417i | ||||
\(326\) | 3.91747e8 | − | 6.78526e8i | 0.626245 | − | 1.08469i | ||||
\(327\) | −7.48091e6 | + | 4.31911e6i | −0.0118314 | + | 0.00683088i | ||||
\(328\) | 3.31168e8 | 0.518192 | ||||||||
\(329\) | −9.69072e8 | + | 4.73246e8i | −1.50027 | + | 0.732658i | ||||
\(330\) | 5.46825e7i | 0.0837625i | ||||||||
\(331\) | 7.03062e8 | − | 4.05913e8i | 1.06560 | − | 0.615227i | 0.138627 | − | 0.990345i | \(-0.455731\pi\) |
0.926977 | + | 0.375118i | \(0.122398\pi\) | |||||||
\(332\) | 2.54296e7 | + | 1.46818e7i | 0.0381378 | + | 0.0220189i | ||||
\(333\) | −8.31473e8 | − | 4.80051e8i | −1.23394 | − | 0.712414i | ||||
\(334\) | −6.43670e8 | − | 1.11487e9i | −0.945258 | − | 1.63723i | ||||
\(335\) | 4.48598e8 | 0.651929 | ||||||||
\(336\) | −4.60254e8 | − | 3.19535e7i | −0.661927 | − | 0.0459548i | ||||
\(337\) | 4.85364e7 | 0.0690816 | 0.0345408 | − | 0.999403i | \(-0.489003\pi\) | ||||
0.0345408 | + | 0.999403i | \(0.489003\pi\) | |||||||
\(338\) | 6.72611e8 | − | 1.08124e9i | 0.947449 | − | 1.52305i | ||||
\(339\) | 1.39372e8 | − | 2.41400e8i | 0.194302 | − | 0.336541i | ||||
\(340\) | −8.99460e8 | − | 5.19304e8i | −1.24110 | − | 0.716548i | ||||
\(341\) | 1.17960e8 | + | 2.04313e8i | 0.161100 | + | 0.279034i | ||||
\(342\) | 1.99326e9 | 2.69447 | ||||||||
\(343\) | −7.31259e8 | − | 1.54291e8i | −0.978458 | − | 0.206448i | ||||
\(344\) | 1.01002e9i | 1.33776i | ||||||||
\(345\) | −1.61714e8 | + | 9.33655e7i | −0.212022 | + | 0.122411i | ||||
\(346\) | 4.81114e8 | + | 2.77771e8i | 0.624427 | + | 0.360513i | ||||
\(347\) | 8.46507e7 | − | 1.46619e8i | 0.108762 | − | 0.188381i | −0.806507 | − | 0.591225i | \(-0.798645\pi\) |
0.915269 | + | 0.402843i | \(0.131978\pi\) | |||||||
\(348\) | −2.57576e7 | − | 4.46136e7i | −0.0327626 | − | 0.0567466i | ||||
\(349\) | − | 3.36989e8i | − | 0.424353i | −0.977231 | − | 0.212176i | \(-0.931945\pi\) | ||
0.977231 | − | 0.212176i | \(-0.0680552\pi\) | |||||||
\(350\) | −6.14624e7 | + | 8.85298e8i | −0.0766252 | + | 1.10370i | ||||
\(351\) | −1.41966e8 | − | 5.66963e8i | −0.175231 | − | 0.699809i | ||||
\(352\) | 6.83267e7 | + | 1.18345e8i | 0.0835009 | + | 0.144628i | ||||
\(353\) | 7.30842e8 | + | 4.21952e8i | 0.884325 | + | 0.510565i | 0.872082 | − | 0.489360i | \(-0.162770\pi\) |
0.0122428 | + | 0.999925i | \(0.496103\pi\) | |||||||
\(354\) | 7.00090e7 | − | 1.21259e8i | 0.0838769 | − | 0.145279i | ||||
\(355\) | 4.45648e8 | + | 7.71885e8i | 0.528680 | + | 0.915701i | ||||
\(356\) | − | 1.00629e9i | − | 1.18208i | ||||||
\(357\) | 1.53798e8 | + | 3.14933e8i | 0.178900 | + | 0.366336i | ||||
\(358\) | 1.85549e9i | 2.13731i | ||||||||
\(359\) | −6.92388e8 | + | 3.99750e8i | −0.789803 | + | 0.455993i | −0.839893 | − | 0.542752i | \(-0.817382\pi\) |
0.0500903 | + | 0.998745i | \(0.484049\pi\) | |||||||
\(360\) | 5.07055e8 | − | 8.78246e8i | 0.572792 | − | 0.992104i | ||||
\(361\) | 9.57119e8 | − | 1.65778e9i | 1.07076 | − | 1.85460i | ||||
\(362\) | 8.78462e8 | − | 5.07180e8i | 0.973292 | − | 0.561930i | ||||
\(363\) | 3.42568e8 | 0.375901 | ||||||||
\(364\) | −1.91827e9 | − | 6.94926e8i | −2.08476 | − | 0.755238i | ||||
\(365\) | −3.64564e8 | −0.392418 | ||||||||
\(366\) | −2.83842e8 | + | 1.63876e8i | −0.302616 | + | 0.174716i | ||||
\(367\) | 3.36493e8 | − | 5.82823e8i | 0.355340 | − | 0.615468i | −0.631836 | − | 0.775102i | \(-0.717698\pi\) |
0.987176 | + | 0.159635i | \(0.0510316\pi\) | |||||||
\(368\) | −8.22703e8 | + | 1.42496e9i | −0.860549 | + | 1.49052i | ||||
\(369\) | 1.68115e8 | − | 9.70613e7i | 0.174186 | − | 0.100567i | ||||
\(370\) | 1.81875e9i | 1.86667i | ||||||||
\(371\) | 9.10356e8 | − | 1.35111e9i | 0.925556 | − | 1.37367i | ||||
\(372\) | 1.43369e9i | 1.44396i | ||||||||
\(373\) | 1.58753e8 | + | 2.74969e8i | 0.158395 | + | 0.274348i | 0.934290 | − | 0.356514i | \(-0.116035\pi\) |
−0.775895 | + | 0.630862i | \(0.782701\pi\) | |||||||
\(374\) | 1.83019e8 | − | 3.16999e8i | 0.180903 | − | 0.313333i | ||||
\(375\) | 3.45622e8 | + | 1.99545e8i | 0.338448 | + | 0.195403i | ||||
\(376\) | 1.87890e9 | + | 3.25436e9i | 1.82283 | + | 3.15724i | ||||
\(377\) | −1.91250e7 | − | 7.63787e7i | −0.0183826 | − | 0.0734137i | ||||
\(378\) | −1.22098e9 | + | 5.96267e8i | −1.16275 | + | 0.567831i | ||||
\(379\) | 1.49581e9i | 1.41137i | 0.708528 | + | 0.705683i | \(0.249360\pi\) | ||||
−0.708528 | + | 0.705683i | \(0.750640\pi\) | |||||||
\(380\) | −1.30114e9 | − | 2.25365e9i | −1.21642 | − | 2.10690i | ||||
\(381\) | −8.04639e7 | + | 1.39368e8i | −0.0745356 | + | 0.129099i | ||||
\(382\) | −1.15044e9 | − | 6.64208e8i | −1.05595 | − | 0.609652i | ||||
\(383\) | −1.09130e9 | + | 6.30061e8i | −0.992539 | + | 0.573043i | −0.906032 | − | 0.423208i | \(-0.860904\pi\) |
−0.0865069 | + | 0.996251i | \(0.527570\pi\) | |||||||
\(384\) | − | 4.90128e8i | − | 0.441723i | ||||||
\(385\) | 1.33590e8 | + | 9.27462e6i | 0.119306 | + | 0.00828292i | ||||
\(386\) | −3.75898e9 | −3.32670 | ||||||||
\(387\) | 2.96025e8 | + | 5.12730e8i | 0.259621 | + | 0.449677i | ||||
\(388\) | −3.00074e9 | − | 1.73248e9i | −2.60806 | − | 1.50576i | ||||
\(389\) | −6.37992e8 | + | 1.10503e9i | −0.549530 | + | 0.951814i | 0.448776 | + | 0.893644i | \(0.351860\pi\) |
−0.998307 | + | 0.0581702i | \(0.981473\pi\) | |||||||
\(390\) | −3.64998e8 | + | 3.53186e8i | −0.311577 | + | 0.301493i | ||||
\(391\) | 1.24996e9 | 1.05749 | ||||||||
\(392\) | −3.59853e8 | + | 2.57915e9i | −0.301734 | + | 2.16259i | ||||
\(393\) | 1.24041e8 | 0.103084 | ||||||||
\(394\) | −6.70595e8 | − | 1.16150e9i | −0.552361 | − | 0.956718i | ||||
\(395\) | −8.66825e8 | − | 5.00462e8i | −0.707688 | − | 0.408584i | ||||
\(396\) | 3.88550e8 | + | 2.24330e8i | 0.314423 | + | 0.181532i | ||||
\(397\) | −7.34336e8 | + | 4.23969e8i | −0.589018 | + | 0.340069i | −0.764709 | − | 0.644376i | \(-0.777117\pi\) |
0.175691 | + | 0.984445i | \(0.443784\pi\) | |||||||
\(398\) | − | 2.75988e9i | − | 2.19431i | ||||||
\(399\) | −6.08198e7 | + | 8.76040e8i | −0.0479335 | + | 0.690429i | ||||
\(400\) | 1.34158e9 | 1.04811 | ||||||||
\(401\) | −9.78504e8 | + | 5.64940e8i | −0.757805 | + | 0.437519i | −0.828507 | − | 0.559979i | \(-0.810809\pi\) |
0.0707021 | + | 0.997497i | \(0.477476\pi\) | |||||||
\(402\) | −4.80389e8 | + | 8.32058e8i | −0.368809 | + | 0.638796i | ||||
\(403\) | −6.01877e8 | + | 2.10700e9i | −0.458079 | + | 1.60360i | ||||
\(404\) | −6.12393e8 | − | 1.06070e9i | −0.462057 | − | 0.800306i | ||||
\(405\) | − | 4.68266e8i | − | 0.350268i | ||||||
\(406\) | −1.64485e8 | + | 8.03263e7i | −0.121979 | + | 0.0595685i | ||||
\(407\) | −4.41758e8 | −0.324791 | ||||||||
\(408\) | 1.05761e9 | − | 6.10614e8i | 0.770934 | − | 0.445099i | ||||
\(409\) | −2.15919e9 | − | 1.24661e9i | −1.56048 | − | 0.900946i | −0.997208 | − | 0.0746782i | \(-0.976207\pi\) |
−0.563277 | − | 0.826268i | \(-0.690460\pi\) | |||||||
\(410\) | −3.18466e8 | − | 1.83866e8i | −0.228202 | − | 0.131752i | ||||
\(411\) | 6.54563e8 | − | 3.77912e8i | 0.465056 | − | 0.268500i | ||||
\(412\) | 6.53107e7 | 0.0460091 | ||||||||
\(413\) | −2.84364e8 | − | 1.91600e8i | −0.198632 | − | 0.133835i | ||||
\(414\) | 2.22305e9i | 1.53974i | ||||||||
\(415\) | −8.95038e6 | − | 1.55025e7i | −0.00614714 | − | 0.0106472i | ||||
\(416\) | −3.48628e8 | + | 1.22045e9i | −0.237430 | + | 0.831174i | ||||
\(417\) | 1.19143e8 | − | 2.06361e8i | 0.0804622 | − | 0.139365i | ||||
\(418\) | 7.94258e8 | − | 4.58565e8i | 0.531918 | − | 0.307103i | ||||
\(419\) | 8.08083e8 | 0.536669 | 0.268335 | − | 0.963326i | \(-0.413527\pi\) | ||||
0.268335 | + | 0.963326i | \(0.413527\pi\) | |||||||
\(420\) | 6.74885e8 | + | 4.54726e8i | 0.444485 | + | 0.299487i | ||||
\(421\) | 1.47819e8i | 0.0965476i | 0.998834 | + | 0.0482738i | \(0.0153720\pi\) | ||||
−0.998834 | + | 0.0482738i | \(0.984628\pi\) | |||||||
\(422\) | 1.80618e9 | − | 1.04280e9i | 1.16995 | − | 0.675471i | ||||
\(423\) | 1.90762e9 | + | 1.10137e9i | 1.22547 | + | 0.707523i | ||||
\(424\) | −4.91626e9 | − | 2.83840e9i | −3.13223 | − | 1.80840i | ||||
\(425\) | −5.09576e8 | − | 8.82612e8i | −0.321994 | − | 0.557710i | ||||
\(426\) | −1.90892e9 | −1.19634 | ||||||||
\(427\) | 3.52211e8 | + | 7.21226e8i | 0.218930 | + | 0.448305i | ||||
\(428\) | −2.62353e8 | −0.161746 | ||||||||
\(429\) | −8.57855e7 | − | 8.86547e7i | −0.0524582 | − | 0.0542127i | ||||
\(430\) | 5.60770e8 | − | 9.71282e8i | 0.340130 | − | 0.589122i | ||||
\(431\) | 1.06956e7 | + | 6.17509e6i | 0.00643478 | + | 0.00371512i | 0.503214 | − | 0.864162i | \(-0.332151\pi\) |
−0.496779 | + | 0.867877i | \(0.665484\pi\) | |||||||
\(432\) | 1.02709e9 | + | 1.77897e9i | 0.612937 | + | 1.06164i | ||||
\(433\) | −5.75010e8 | −0.340383 | −0.170191 | − | 0.985411i | \(-0.554439\pi\) | ||||
−0.170191 | + | 0.985411i | \(0.554439\pi\) | |||||||
\(434\) | 5.08216e9 | + | 3.52833e8i | 2.98424 | + | 0.207183i | ||||
\(435\) | 3.14051e7i | 0.0182931i | ||||||||
\(436\) | 1.16273e8 | − | 6.71303e7i | 0.0671856 | − | 0.0387896i | ||||
\(437\) | 2.71225e9 | + | 1.56592e9i | 1.55469 | + | 0.897603i | ||||
\(438\) | 3.90400e8 | − | 6.76193e8i | 0.221999 | − | 0.384513i | ||||
\(439\) | 9.08796e8 | + | 1.57408e9i | 0.512673 | + | 0.887976i | 0.999892 | + | 0.0146958i | \(0.00467799\pi\) |
−0.487219 | + | 0.873280i | \(0.661989\pi\) | |||||||
\(440\) | − | 4.66609e8i | − | 0.261137i | ||||||
\(441\) | 5.73239e8 | + | 1.41475e9i | 0.318273 | + | 0.785498i | ||||
\(442\) | 3.29802e9 | − | 8.25815e8i | 1.81667 | − | 0.454889i | ||||
\(443\) | 9.37454e8 | + | 1.62372e9i | 0.512315 | + | 0.887355i | 0.999898 | + | 0.0142786i | \(0.00454518\pi\) |
−0.487583 | + | 0.873076i | \(0.662121\pi\) | |||||||
\(444\) | −2.32491e9 | − | 1.34228e9i | −1.26056 | − | 0.727787i | ||||
\(445\) | −3.06729e8 | + | 5.31270e8i | −0.165004 | + | 0.285796i | ||||
\(446\) | −3.66107e8 | − | 6.34115e8i | −0.195405 | − | 0.338451i | ||||
\(447\) | 7.91884e8i | 0.419358i | ||||||||
\(448\) | −2.82427e8 | − | 1.96077e7i | −0.148400 | − | 0.0103028i | ||||
\(449\) | 1.56806e9i | 0.817523i | 0.912641 | + | 0.408761i | \(0.134039\pi\) | ||||
−0.912641 | + | 0.408761i | \(0.865961\pi\) | |||||||
\(450\) | 1.56973e9 | − | 9.06282e8i | 0.812046 | − | 0.468835i | ||||
\(451\) | 4.46594e7 | − | 7.73524e7i | 0.0229243 | − | 0.0397060i | ||||
\(452\) | −2.16621e9 | + | 3.75199e9i | −1.10336 | + | 1.91107i | ||||
\(453\) | −3.38093e8 | + | 1.95198e8i | −0.170881 | + | 0.0986579i | ||||
\(454\) | 1.95541e9 | 0.980715 | ||||||||
\(455\) | 8.00933e8 | + | 9.51602e8i | 0.398618 | + | 0.473604i | ||||
\(456\) | 3.05986e9 | 1.51121 | ||||||||
\(457\) | 1.59271e9 | − | 9.19550e8i | 0.780601 | − | 0.450680i | −0.0560419 | − | 0.998428i | \(-0.517848\pi\) |
0.836643 | + | 0.547748i | \(0.184515\pi\) | |||||||
\(458\) | 6.55862e8 | − | 1.13599e9i | 0.318994 | − | 0.552514i | ||||
\(459\) | 7.80245e8 | − | 1.35142e9i | 0.376605 | − | 0.652299i | ||||
\(460\) | 2.51346e9 | − | 1.45115e9i | 1.20398 | − | 0.695118i | ||||
\(461\) | 1.86137e9i | 0.884868i | 0.896801 | + | 0.442434i | \(0.145885\pi\) | ||||
−0.896801 | + | 0.442434i | \(0.854115\pi\) | |||||||
\(462\) | −1.60260e8 | + | 2.37851e8i | −0.0756099 | + | 0.112217i | ||||
\(463\) | 1.90461e9i | 0.891810i | 0.895080 | + | 0.445905i | \(0.147118\pi\) | ||||
−0.895080 | + | 0.445905i | \(0.852882\pi\) | |||||||
\(464\) | 1.38365e8 | + | 2.39655e8i | 0.0643003 | + | 0.111371i | ||||
\(465\) | 4.37008e8 | − | 7.56921e8i | 0.201560 | − | 0.349112i | ||||
\(466\) | −3.74360e9 | − | 2.16137e9i | −1.71372 | − | 0.989415i | ||||
\(467\) | −1.28402e9 | − | 2.22399e9i | −0.583395 | − | 1.01047i | −0.995073 | − | 0.0991410i | \(-0.968391\pi\) |
0.411678 | − | 0.911329i | \(-0.364943\pi\) | |||||||
\(468\) | 1.01221e9 | + | 4.04243e9i | 0.456470 | + | 1.82298i | ||||
\(469\) | 1.95126e9 | + | 1.31472e9i | 0.873393 | + | 0.588477i | ||||
\(470\) | − | 4.17271e9i | − | 1.85385i | ||||||
\(471\) | 2.99059e8 | + | 5.17986e8i | 0.131882 | + | 0.228426i | ||||
\(472\) | −5.97390e8 | + | 1.03471e9i | −0.261494 | + | 0.452920i | ||||
\(473\) | 2.35915e8 | + | 1.36206e8i | 0.102504 | + | 0.0591809i | ||||
\(474\) | 1.85651e9 | − | 1.07186e9i | 0.800706 | − | 0.462288i | ||||
\(475\) | − | 2.55355e9i | − | 1.09324i | ||||||
\(476\) | −2.39042e9 | − | 4.89489e9i | −1.01590 | − | 2.08026i | ||||
\(477\) | −3.32760e9 | −1.40384 | ||||||||
\(478\) | −1.14237e9 | − | 1.97864e9i | −0.478419 | − | 0.828645i | ||||
\(479\) | −2.31667e8 | − | 1.33753e8i | −0.0963140 | − | 0.0556069i | 0.451069 | − | 0.892489i | \(-0.351043\pi\) |
−0.547383 | + | 0.836882i | \(0.684376\pi\) | |||||||
\(480\) | 2.53130e8 | − | 4.38434e8i | 0.104472 | − | 0.180951i | ||||
\(481\) | −2.85325e9 | − | 2.94868e9i | −1.16905 | − | 1.20815i | ||||
\(482\) | −6.04532e9 | −2.45898 | ||||||||
\(483\) | −9.77034e8 | − | 6.78313e7i | −0.394543 | − | 0.0273915i | ||||
\(484\) | −5.32441e9 | −2.13458 | ||||||||
\(485\) | 1.05616e9 | + | 1.82933e9i | 0.420374 | + | 0.728108i | ||||
\(486\) | 3.70444e9 | + | 2.13876e9i | 1.46385 | + | 0.845152i | ||||
\(487\) | 1.25567e8 | + | 7.24959e7i | 0.0492632 | + | 0.0284421i | 0.524429 | − | 0.851454i | \(-0.324279\pi\) |
−0.475166 | + | 0.879896i | \(0.657612\pi\) | |||||||
\(488\) | 2.42204e9 | − | 1.39836e9i | 0.943433 | − | 0.544692i | ||||
\(489\) | − | 7.05019e8i | − | 0.272659i | ||||||
\(490\) | 1.77800e9 | − | 2.28043e9i | 0.682726 | − | 0.875648i | ||||
\(491\) | −6.31303e8 | −0.240687 | −0.120343 | − | 0.992732i | \(-0.538400\pi\) | ||||
−0.120343 | + | 0.992732i | \(0.538400\pi\) | |||||||
\(492\) | 4.70072e8 | − | 2.71396e8i | 0.177945 | − | 0.102737i | ||||
\(493\) | 1.05111e8 | − | 1.82058e8i | 0.0395079 | − | 0.0684297i | ||||
\(494\) | 8.19085e9 | + | 2.33977e9i | 3.05693 | + | 0.873230i | ||||
\(495\) | −1.36757e8 | − | 2.36870e8i | −0.0506794 | − | 0.0877793i | ||||
\(496\) | − | 7.70152e9i | − | 2.83394i | ||||||
\(497\) | −3.23769e8 | + | 4.66354e9i | −0.118301 | + | 1.70399i | ||||
\(498\) | 3.83387e7 | 0.0139102 | ||||||||
\(499\) | −3.04852e9 | + | 1.76007e9i | −1.09834 | + | 0.634128i | −0.935785 | − | 0.352571i | \(-0.885308\pi\) |
−0.162557 | + | 0.986699i | \(0.551974\pi\) | |||||||
\(500\) | −5.37188e9 | − | 3.10146e9i | −1.92190 | − | 1.10961i | ||||
\(501\) | −1.00320e9 | − | 5.79199e8i | −0.356415 | − | 0.205776i | ||||
\(502\) | −6.69273e9 | + | 3.86405e9i | −2.36124 | + | 1.36326i | ||||
\(503\) | 1.59663e9 | 0.559392 | 0.279696 | − | 0.960089i | \(-0.409766\pi\) | ||||
0.279696 | + | 0.960089i | \(0.409766\pi\) | |||||||
\(504\) | 4.77944e9 | − | 2.33404e9i | 1.66292 | − | 0.812085i | ||||
\(505\) | 7.46661e8i | 0.257990i | ||||||||
\(506\) | 5.11430e8 | + | 8.85823e8i | 0.175493 | + | 0.303963i | ||||
\(507\) | 3.76833e7 | − | 1.14521e9i | 0.0128416 | − | 0.390264i | ||||
\(508\) | 1.25062e9 | − | 2.16614e9i | 0.423256 | − | 0.733100i | ||||
\(509\) | 1.62976e9 | − | 9.40941e8i | 0.547786 | − | 0.316264i | −0.200443 | − | 0.979705i | \(-0.564238\pi\) |
0.748228 | + | 0.663441i | \(0.230905\pi\) | |||||||
\(510\) | −1.35606e9 | −0.452673 | ||||||||
\(511\) | −1.58574e9 | − | 1.06844e9i | −0.525725 | − | 0.354225i | ||||
\(512\) | 6.80754e9i | 2.24153i | ||||||||
\(513\) | 3.38607e9 | − | 1.95495e9i | 1.10735 | − | 0.639329i | ||||
\(514\) | 6.22280e9 | + | 3.59274e9i | 2.02123 | + | 1.16696i | ||||
\(515\) | −3.44809e7 | − | 1.99075e7i | −0.0111238 | − | 0.00642232i | ||||
\(516\) | 8.27724e8 | + | 1.43366e9i | 0.265223 | + | 0.459380i | ||||
\(517\) | 1.01351e9 | 0.322561 | ||||||||
\(518\) | −5.33029e9 | + | 7.91099e9i | −1.68499 | + | 2.50079i | ||||
\(519\) | 4.99898e8 | 0.156963 | ||||||||
\(520\) | 3.11455e9 | − | 3.01375e9i | 0.971368 | − | 0.939930i | ||||
\(521\) | −2.07817e9 | + | 3.59949e9i | −0.643796 | + | 1.11509i | 0.340782 | + | 0.940142i | \(0.389308\pi\) |
−0.984578 | + | 0.174946i | \(0.944025\pi\) | |||||||
\(522\) | 3.23790e8 | + | 1.86940e8i | 0.0996360 | + | 0.0575249i | ||||
\(523\) | −1.93719e9 | − | 3.35531e9i | −0.592129 | − | 1.02560i | −0.993945 | − | 0.109877i | \(-0.964954\pi\) |
0.401816 | − | 0.915720i | \(-0.368379\pi\) | |||||||
\(524\) | −1.92792e9 | −0.585370 | ||||||||
\(525\) | 3.50416e8 | + | 7.17550e8i | 0.105688 | + | 0.216419i | ||||
\(526\) | − | 7.86935e9i | − | 2.35770i | ||||||
\(527\) | −5.06674e9 | + | 2.92529e9i | −1.50797 | + | 0.870625i | ||||
\(528\) | 3.75491e8 | + | 2.16790e8i | 0.111015 | + | 0.0640945i | ||||
\(529\) | −4.40319e7 | + | 7.62655e7i | −0.0129322 | + | 0.0223992i | ||||
\(530\) | 3.15179e9 | + | 5.45906e9i | 0.919585 | + | 1.59277i | ||||
\(531\) | 7.00350e8i | 0.202995i | ||||||||
\(532\) | 9.45299e8 | − | 1.36160e10i | 0.272194 | − | 3.92065i | ||||
\(533\) | 8.04765e8 | − | 2.01511e8i | 0.230210 | − | 0.0576440i | ||||
\(534\) | −6.56933e8 | − | 1.13784e9i | −0.186692 | − | 0.323361i | ||||
\(535\) | 1.38510e8 | + | 7.99685e7i | 0.0391058 | + | 0.0225778i | ||||
\(536\) | 4.09918e9 | − | 7.09999e9i | 1.14980 | − | 1.99150i | ||||
\(537\) | 8.34820e8 | + | 1.44595e9i | 0.232639 | + | 0.402943i | ||||
\(538\) | 8.58662e9i | 2.37730i | ||||||||
\(539\) | 5.53894e8 | + | 4.31861e8i | 0.152358 | + | 0.118791i | ||||
\(540\) | − | 3.62332e9i | − | 0.990213i | ||||||
\(541\) | −5.35097e9 | + | 3.08938e9i | −1.45292 | + | 0.838844i | −0.998646 | − | 0.0520183i | \(-0.983435\pi\) |
−0.454274 | + | 0.890862i | \(0.650101\pi\) | |||||||
\(542\) | −1.22170e9 | + | 2.11604e9i | −0.329584 | + | 0.570857i | ||||
\(543\) | 4.56380e8 | − | 7.90474e8i | 0.122328 | − | 0.211879i | ||||
\(544\) | −2.93483e9 | + | 1.69443e9i | −0.781605 | + | 0.451260i | ||||
\(545\) | −8.18487e7 | −0.0216583 | ||||||||
\(546\) | −2.62272e9 | + | 4.66529e8i | −0.689569 | + | 0.122660i | ||||
\(547\) | 4.91377e8 | 0.128369 | 0.0641844 | − | 0.997938i | \(-0.479555\pi\) | ||||
0.0641844 | + | 0.997938i | \(0.479555\pi\) | |||||||
\(548\) | −1.01736e10 | + | 5.87375e9i | −2.64085 | + | 1.52470i | ||||
\(549\) | 8.19685e8 | − | 1.41974e9i | 0.211419 | − | 0.366188i | ||||
\(550\) | 4.16995e8 | − | 7.22256e8i | 0.106871 | − | 0.185107i | ||||
\(551\) | 4.56156e8 | − | 2.63362e8i | 0.116167 | − | 0.0670690i | ||||
\(552\) | 3.41261e9i | 0.863575i | ||||||||
\(553\) | −2.30369e9 | − | 4.71729e9i | −0.579276 | − | 1.18619i | ||||
\(554\) | − | 1.58632e9i | − | 0.396376i | ||||||
\(555\) | 8.18291e8 | + | 1.41732e9i | 0.203181 | + | 0.351919i | ||||
\(556\) | −1.85179e9 | + | 3.20740e9i | −0.456910 | + | 0.791392i | ||||
\(557\) | 4.24340e9 | + | 2.44993e9i | 1.04045 | + | 0.600704i | 0.919961 | − | 0.392011i | \(-0.128220\pi\) |
0.120489 | + | 0.992715i | \(0.461554\pi\) | |||||||
\(558\) | −5.20263e9 | − | 9.01121e9i | −1.26766 | − | 2.19565i | ||||
\(559\) | 6.14585e8 | + | 2.45444e9i | 0.148813 | + | 0.594306i | ||||
\(560\) | −3.62535e9 | − | 2.44270e9i | −0.872352 | − | 0.587776i | ||||
\(561\) | − | 3.29375e8i | − | 0.0787628i | ||||||
\(562\) | 6.51002e9 | + | 1.12757e10i | 1.54705 | + | 2.67958i | ||||
\(563\) | 3.06283e9 | − | 5.30497e9i | 0.723341 | − | 1.25286i | −0.236313 | − | 0.971677i | \(-0.575939\pi\) |
0.959653 | − | 0.281186i | \(-0.0907277\pi\) | |||||||
\(564\) | 5.33396e9 | + | 3.07956e9i | 1.25191 | + | 0.722790i | ||||
\(565\) | 2.28731e9 | − | 1.32058e9i | 0.533526 | − | 0.308031i | ||||
\(566\) | − | 8.37886e9i | − | 1.94235i | ||||||
\(567\) | 1.37237e9 | − | 2.03681e9i | 0.316177 | − | 0.469256i | ||||
\(568\) | 1.62889e10 | 3.72969 | ||||||||
\(569\) | 2.93236e8 | + | 5.07899e8i | 0.0667304 | + | 0.115581i | 0.897460 | − | 0.441095i | \(-0.145410\pi\) |
−0.830730 | + | 0.556676i | \(0.812077\pi\) | |||||||
\(570\) | −2.94249e9 | − | 1.69885e9i | −0.665508 | − | 0.384231i | ||||
\(571\) | 2.88991e9 | − | 5.00547e9i | 0.649618 | − | 1.12517i | −0.333596 | − | 0.942716i | \(-0.608262\pi\) |
0.983214 | − | 0.182456i | \(-0.0584046\pi\) | |||||||
\(572\) | 1.33333e9 | + | 1.37793e9i | 0.297888 | + | 0.307851i | ||||
\(573\) | −1.19536e9 | −0.265434 | ||||||||
\(574\) | −8.46360e8 | − | 1.73310e9i | −0.186794 | − | 0.382501i | ||||
\(575\) | 2.84793e9 | 0.624729 | ||||||||
\(576\) | 2.89122e8 | + | 5.00774e8i | 0.0630379 | + | 0.109185i | ||||
\(577\) | 4.10491e9 | + | 2.36997e9i | 0.889587 | + | 0.513603i | 0.873807 | − | 0.486272i | \(-0.161644\pi\) |
0.0157798 | + | 0.999875i | \(0.494977\pi\) | |||||||
\(578\) | 6.49695e8 | + | 3.75101e8i | 0.139946 | + | 0.0807981i | ||||
\(579\) | −2.92931e9 | + | 1.69124e9i | −0.627176 | + | 0.362100i | ||||
\(580\) | − | 4.88117e8i | − | 0.103879i | ||||||
\(581\) | 6.50257e6 | − | 9.36623e7i | 0.00137553 | − | 0.0198129i | ||||
\(582\) | −4.52405e9 | −0.951254 | ||||||||
\(583\) | −1.32596e9 | + | 7.65541e8i | −0.277134 | + | 0.160003i | ||||
\(584\) | −3.33131e9 | + | 5.76999e9i | −0.692101 | + | 1.19875i | ||||
\(585\) | 6.97785e8 | − | 2.44274e9i | 0.144104 | − | 0.504466i | ||||
\(586\) | 4.99749e8 | + | 8.65591e8i | 0.102591 | + | 0.177693i | ||||
\(587\) | − | 4.32226e9i | − | 0.882017i | −0.897503 | − | 0.441009i | \(-0.854621\pi\) | ||
0.897503 | − | 0.441009i | \(-0.145379\pi\) | |||||||
\(588\) | 1.60285e9 | + | 3.95583e9i | 0.325141 | + | 0.802448i | ||||
\(589\) | −1.46589e10 | −2.95596 | ||||||||
\(590\) | 1.14895e9 | − | 6.63348e8i | 0.230314 | − | 0.132972i | ||||
\(591\) | −1.04517e9 | − | 6.03427e8i | −0.208271 | − | 0.120245i | ||||
\(592\) | 1.24889e10 | + | 7.21049e9i | 2.47400 | + | 1.42836i | ||||
\(593\) | 5.47623e9 | − | 3.16170e9i | 1.07843 | − | 0.622629i | 0.147955 | − | 0.988994i | \(-0.452731\pi\) |
0.930471 | + | 0.366365i | \(0.119398\pi\) | |||||||
\(594\) | 1.27697e9 | 0.249994 | ||||||||
\(595\) | −2.30000e8 | + | 3.31289e9i | −0.0447630 | + | 0.644760i | ||||
\(596\) | − | 1.23080e10i | − | 2.38136i | ||||||
\(597\) | −1.24172e9 | − | 2.15072e9i | −0.238844 | − | 0.413689i | ||||
\(598\) | −2.60951e9 | + | 9.13513e9i | −0.499004 | + | 1.74687i | ||||
\(599\) | 2.71201e9 | − | 4.69734e9i | 0.515581 | − | 0.893013i | −0.484255 | − | 0.874927i | \(-0.660909\pi\) |
0.999836 | − | 0.0180862i | \(-0.00575732\pi\) | |||||||
\(600\) | 2.40969e9 | − | 1.39124e9i | 0.455441 | − | 0.262949i | ||||
\(601\) | −9.87533e9 | −1.85563 | −0.927814 | − | 0.373044i | \(-0.878314\pi\) | ||||
−0.927814 | + | 0.373044i | \(0.878314\pi\) | |||||||
\(602\) | 5.28575e9 | − | 2.58129e9i | 0.987458 | − | 0.482225i | ||||
\(603\) | − | 4.80568e9i | − | 0.892573i | ||||||
\(604\) | 5.25486e9 | − | 3.03389e9i | 0.970357 | − | 0.560236i | ||||
\(605\) | 2.81103e9 | + | 1.62295e9i | 0.516085 | + | 0.297962i | ||||
\(606\) | −1.38490e9 | − | 7.99575e8i | −0.252793 | − | 0.145950i | ||||
\(607\) | −9.79466e7 | − | 1.69648e8i | −0.0177758 | − | 0.0307886i | 0.857001 | − | 0.515315i | \(-0.172325\pi\) |
−0.874776 | + | 0.484527i | \(0.838992\pi\) | |||||||
\(608\) | −8.49096e9 | −1.53213 | ||||||||
\(609\) | −9.20401e7 | + | 1.36602e8i | −0.0165126 | + | 0.0245074i | ||||
\(610\) | −3.10551e9 | −0.553961 | ||||||||
\(611\) | 6.54612e9 | + | 6.76506e9i | 1.16102 | + | 1.19985i | ||||
\(612\) | −5.56312e9 | + | 9.63561e9i | −0.981044 | + | 1.69922i | ||||
\(613\) | −2.88935e9 | − | 1.66817e9i | −0.506627 | − | 0.292501i | 0.224819 | − | 0.974401i | \(-0.427821\pi\) |
−0.731446 | + | 0.681899i | \(0.761154\pi\) | |||||||
\(614\) | −3.63009e8 | − | 6.28751e8i | −0.0632891 | − | 0.109620i | ||||
\(615\) | −3.30900e8 | −0.0573632 | ||||||||
\(616\) | 1.36751e9 | − | 2.02960e9i | 0.235721 | − | 0.349847i | ||||
\(617\) | − | 5.29674e9i | − | 0.907842i | −0.891042 | − | 0.453921i | \(-0.850025\pi\) | ||
0.891042 | − | 0.453921i | \(-0.149975\pi\) | |||||||
\(618\) | 7.38488e7 | − | 4.26367e7i | 0.0125859 | − | 0.00726647i | ||||
\(619\) | 3.42229e9 | + | 1.97586e9i | 0.579962 | + | 0.334841i | 0.761118 | − | 0.648613i | \(-0.224651\pi\) |
−0.181157 | + | 0.983454i | \(0.557984\pi\) | |||||||
\(620\) | −6.79226e9 | + | 1.17645e10i | −1.14457 | + | 1.98246i | ||||
\(621\) | 2.18032e9 | + | 3.77643e9i | 0.365342 | + | 0.632791i | ||||
\(622\) | 1.07987e10i | 1.79931i | ||||||||
\(623\) | −2.89119e9 | + | 1.41191e9i | −0.479036 | + | 0.233937i | ||||
\(624\) | 9.78195e8 | + | 3.90657e9i | 0.161168 | + | 0.643649i | ||||
\(625\) | 8.39428e6 | + | 1.45393e7i | 0.00137532 | + | 0.00238212i | ||||
\(626\) | −8.94576e9 | − | 5.16483e9i | −1.45749 | − | 0.841485i | ||||
\(627\) | 4.12635e8 | − | 7.14704e8i | 0.0668543 | − | 0.115795i | ||||
\(628\) | −4.64817e9 | − | 8.05087e9i | −0.748899 | − | 1.29713i | ||||
\(629\) | − | 1.09551e10i | − | 1.75525i | ||||||
\(630\) | −5.89199e9 | − | 4.09056e8i | −0.938793 | − | 0.0651764i | ||||
\(631\) | − | 8.79406e9i | − | 1.39343i | −0.717346 | − | 0.696717i | \(-0.754643\pi\) | ||
0.717346 | − | 0.696717i | \(-0.245357\pi\) | |||||||
\(632\) | −1.58417e10 | + | 9.14621e9i | −2.49627 | + | 1.44122i | ||||
\(633\) | 9.38349e8 | − | 1.62527e9i | 0.147045 | − | 0.254690i | ||||
\(634\) | 1.16005e9 | − | 2.00926e9i | 0.180785 | − | 0.313129i | ||||
\(635\) | −1.32053e9 | + | 7.62411e8i | −0.204664 | + | 0.118163i | ||||
\(636\) | −9.30440e9 | −1.43413 | ||||||||
\(637\) | 6.94903e8 | + | 6.48649e9i | 0.106521 | + | 0.994310i | ||||
\(638\) | 1.72028e8 | 0.0262257 | ||||||||
\(639\) | 8.26895e9 | − | 4.77408e9i | 1.25371 | − | 0.723830i | ||||
\(640\) | 2.32203e9 | − | 4.02187e9i | 0.350137 | − | 0.606455i | ||||
\(641\) | 9.40626e8 | − | 1.62921e9i | 0.141063 | − | 0.244329i | −0.786834 | − | 0.617165i | \(-0.788281\pi\) |
0.927897 | + | 0.372836i | \(0.121615\pi\) | |||||||
\(642\) | −2.96651e8 | + | 1.71271e8i | −0.0442459 | + | 0.0255454i | ||||
\(643\) | 5.88015e9i | 0.872268i | 0.899882 | + | 0.436134i | \(0.143653\pi\) | ||||
−0.899882 | + | 0.436134i | \(0.856347\pi\) | |||||||
\(644\) | 1.51857e10 | + | 1.05428e9i | 2.24044 | + | 0.155544i | ||||
\(645\) | − | 1.00920e9i | − | 0.148088i | ||||||
\(646\) | 1.13719e10 | + | 1.96967e10i | 1.65966 | + | 2.87462i | ||||
\(647\) | 4.53383e9 | − | 7.85283e9i | 0.658113 | − | 1.13989i | −0.322990 | − | 0.946402i | \(-0.604688\pi\) |
0.981104 | − | 0.193483i | \(-0.0619785\pi\) | |||||||
\(648\) | −7.41129e9 | − | 4.27891e9i | −1.06999 | − | 0.617761i | ||||
\(649\) | 1.61121e8 | + | 2.79070e8i | 0.0231364 | + | 0.0400735i | ||||
\(650\) | 7.51427e9 | − | 1.88156e9i | 1.07322 | − | 0.268733i | ||||
\(651\) | 4.11919e9 | − | 2.01160e9i | 0.585164 | − | 0.285765i | ||||
\(652\) | 1.09578e10i | 1.54831i | ||||||||
\(653\) | −3.21571e9 | − | 5.56977e9i | −0.451940 | − | 0.782782i | 0.546567 | − | 0.837415i | \(-0.315934\pi\) |
−0.998507 | + | 0.0546330i | \(0.982601\pi\) | |||||||
\(654\) | 8.76491e7 | − | 1.51813e8i | 0.0122525 | − | 0.0212220i | ||||
\(655\) | 1.01785e9 | + | 5.87656e8i | 0.141527 | + | 0.0817106i | ||||
\(656\) | −2.52513e9 | + | 1.45788e9i | −0.349237 | + | 0.201632i | ||||
\(657\) | 3.90545e9i | 0.537270i | ||||||||
\(658\) | 1.22291e10 | − | 1.81499e10i | 1.67342 | − | 2.48362i | ||||
\(659\) | −4.65728e9 | −0.633919 | −0.316959 | − | 0.948439i | \(-0.602662\pi\) | ||||
−0.316959 | + | 0.948439i | \(0.602662\pi\) | |||||||
\(660\) | −3.82391e8 | − | 6.62320e8i | −0.0517730 | − | 0.0896735i | ||||
\(661\) | −9.45268e9 | − | 5.45751e9i | −1.27306 | − | 0.735003i | −0.297500 | − | 0.954722i | \(-0.596153\pi\) |
−0.975563 | + | 0.219718i | \(0.929486\pi\) | |||||||
\(662\) | −8.23734e9 | + | 1.42675e10i | −1.10353 | + | 1.91137i | ||||
\(663\) | 2.19854e9 | − | 2.12738e9i | 0.292979 | − | 0.283497i | ||||
\(664\) | −3.27146e8 | −0.0433664 | ||||||||
\(665\) | −4.64940e9 | + | 6.90043e9i | −0.613085 | + | 0.909915i | ||||
\(666\) | 1.94837e10 | 2.55571 | ||||||||
\(667\) | 2.93723e8 | + | 5.08743e8i | 0.0383264 | + | 0.0663832i | ||||
\(668\) | 1.55924e10 | + | 9.00227e9i | 2.02393 | + | 1.16852i | ||||
\(669\) | −5.70601e8 | − | 3.29437e8i | −0.0736786 | − | 0.0425384i | ||||
\(670\) | −7.88390e9 | + | 4.55177e9i | −1.01270 | + | 0.584681i | ||||
\(671\) | − | 7.54300e8i | − | 0.0963863i | ||||||
\(672\) | 2.38597e9 | − | 1.16519e9i | 0.303301 | − | 0.148117i | ||||
\(673\) | −1.30461e9 | −0.164979 | −0.0824894 | − | 0.996592i | \(-0.526287\pi\) | ||||
−0.0824894 | + | 0.996592i | \(0.526287\pi\) | |||||||
\(674\) | −8.53005e8 | + | 4.92482e8i | −0.107310 | + | 0.0619557i | ||||
\(675\) | 1.77773e9 | − | 3.07911e9i | 0.222485 | − | 0.385356i | ||||
\(676\) | −5.85697e8 | + | 1.77996e10i | −0.0729222 | + | 2.21614i | ||||
\(677\) | −2.86272e9 | − | 4.95838e9i | −0.354584 | − | 0.614157i | 0.632463 | − | 0.774591i | \(-0.282044\pi\) |
−0.987047 | + | 0.160434i | \(0.948711\pi\) | |||||||
\(678\) | 5.65666e9i | 0.697037i | ||||||||
\(679\) | −7.67317e8 | + | 1.10523e10i | −0.0940656 | + | 1.35491i | ||||
\(680\) | 1.15714e10 | 1.41125 | ||||||||
\(681\) | 1.52382e9 | − | 8.79777e8i | 0.184892 | − | 0.106748i | ||||
\(682\) | −4.14620e9 | − | 2.39381e9i | −0.500501 | − | 0.288965i | ||||
\(683\) | 5.74648e9 | + | 3.31773e9i | 0.690128 | + | 0.398445i | 0.803660 | − | 0.595089i | \(-0.202883\pi\) |
−0.113532 | + | 0.993534i | \(0.536217\pi\) | |||||||
\(684\) | −2.41426e10 | + | 1.39387e10i | −2.88461 | + | 1.66543i | ||||
\(685\) | 7.16158e9 | 0.851318 | ||||||||
\(686\) | 1.44171e10 | − | 4.70825e9i | 1.70507 | − | 0.556834i | ||||
\(687\) | − | 1.18034e9i | − | 0.138886i | ||||||
\(688\) | −4.44637e9 | − | 7.70134e9i | −0.520530 | − | 0.901585i | ||||
\(689\) | −1.36740e10 | − | 3.90607e9i | −1.59268 | − | 0.454960i | ||||
\(690\) | 1.89470e9 | − | 3.28171e9i | 0.219568 | − | 0.380302i | ||||
\(691\) | −6.60554e8 | + | 3.81371e8i | −0.0761614 | + | 0.0439718i | −0.537597 | − | 0.843202i | \(-0.680668\pi\) |
0.461436 | + | 0.887174i | \(0.347335\pi\) | |||||||
\(692\) | −7.76974e9 | −0.891323 | ||||||||
\(693\) | 9.93559e7 | − | 1.43111e9i | 0.0113404 | − | 0.163345i | ||||
\(694\) | 3.43569e9i | 0.390172i | ||||||||
\(695\) | 1.95531e9 | − | 1.12890e9i | 0.220938 | − | 0.127558i | ||||
\(696\) | 4.97050e8 | + | 2.86972e8i | 0.0558815 | + | 0.0322632i | ||||
\(697\) | 1.91825e9 | + | 1.10750e9i | 0.214581 | + | 0.123888i | ||||
\(698\) | 3.41932e9 | + | 5.92244e9i | 0.380580 | + | 0.659184i | ||||
\(699\) | −3.88977e9 | −0.430778 | ||||||||
\(700\) | −5.44638e9 | − | 1.11526e10i | −0.600157 | − | 1.22895i | ||||
\(701\) | −1.58319e10 | −1.73588 | −0.867941 | − | 0.496668i | \(-0.834557\pi\) | ||||
−0.867941 | + | 0.496668i | \(0.834557\pi\) | |||||||
\(702\) | 8.24778e9 | + | 8.52364e9i | 0.899823 | + | 0.929919i | ||||
\(703\) | 1.37243e10 | − | 2.37712e10i | 1.48987 | − | 2.58052i | ||||
\(704\) | 2.30414e8 | + | 1.33030e8i | 0.0248888 | + | 0.0143696i | ||||
\(705\) | −1.87738e9 | − | 3.25172e9i | −0.201786 | − | 0.349503i | ||||
\(706\) | −1.71256e10 | −1.83160 | ||||||||
\(707\) | −2.18827e9 | + | 3.24774e9i | −0.232880 | + | 0.345631i | ||||
\(708\) | 1.95827e9i | 0.207375i | ||||||||
\(709\) | −8.42791e9 | + | 4.86585e9i | −0.888092 | + | 0.512740i | −0.873318 | − | 0.487151i | \(-0.838036\pi\) |
−0.0147741 | + | 0.999891i | \(0.504703\pi\) | |||||||
\(710\) | −1.56641e10 | − | 9.04369e9i | −1.64249 | − | 0.948291i | ||||
\(711\) | −5.36128e9 | + | 9.28601e9i | −0.559403 | + | 0.968914i | ||||
\(712\) | 5.60564e9 | + | 9.70925e9i | 0.582030 | + | 1.00811i | ||||
\(713\) | − | 1.63489e10i | − | 1.68918i | ||||||
\(714\) | −5.89845e9 | − | 3.97427e9i | −0.606449 | − | 0.408615i | ||||
\(715\) | −2.83925e8 | − | 1.13390e9i | −0.0290491 | − | 0.116012i | ||||
\(716\) | −1.29753e10 | − | 2.24739e10i | −1.32106 | − | 2.28814i | ||||
\(717\) | −1.78045e9 | − | 1.02795e9i | −0.180391 | − | 0.104149i | ||||
\(718\) | 8.11227e9 | − | 1.40509e10i | 0.817912 | − | 1.41667i | ||||
\(719\) | −3.18588e9 | − | 5.51811e9i | −0.319653 | − | 0.553655i | 0.660763 | − | 0.750595i | \(-0.270233\pi\) |
−0.980416 | + | 0.196940i | \(0.936900\pi\) | |||||||
\(720\) | 8.92874e9i | 0.891510i | ||||||||
\(721\) | −9.16369e7 | − | 1.87646e8i | −0.00910535 | − | 0.0186451i | ||||
\(722\) | 3.88463e10i | 3.84122i | ||||||||
\(723\) | −4.71101e9 | + | 2.71990e9i | −0.463586 | + | 0.267651i | ||||
\(724\) | −7.09335e9 | + | 1.22860e10i | −0.694651 | + | 1.20317i | ||||
\(725\) | 2.39487e8 | − | 4.14804e8i | 0.0233399 | − | 0.0404259i | ||||
\(726\) | −6.02048e9 | + | 3.47593e9i | −0.583919 | + | 0.337126i | ||||
\(727\) | 1.47537e10 | 1.42407 | 0.712036 | − | 0.702143i | \(-0.247773\pi\) | ||||
0.712036 | + | 0.702143i | \(0.247773\pi\) | |||||||
\(728\) | 2.23798e10 | − | 3.98091e9i | 2.14979 | − | 0.382404i | ||||
\(729\) | −2.06975e9 | −0.197866 | ||||||||
\(730\) | 6.40705e9 | − | 3.69911e9i | 0.609577 | − | 0.351939i | ||||
\(731\) | −3.37775e9 | + | 5.85044e9i | −0.319828 | + | 0.553959i | ||||
\(732\) | 2.29195e9 | − | 3.96977e9i | 0.215981 | − | 0.374090i | ||||
\(733\) | 1.91401e9 | − | 1.10506e9i | 0.179507 | − | 0.103638i | −0.407554 | − | 0.913181i | \(-0.633618\pi\) |
0.587061 | + | 0.809543i | \(0.300285\pi\) | |||||||
\(734\) | 1.36571e10i | 1.27474i | ||||||||
\(735\) | 3.59561e8 | − | 2.57706e9i | 0.0334016 | − | 0.239397i | ||||
\(736\) | − | 9.46983e9i | − | 0.875528i | ||||||
\(737\) | −1.10558e9 | − | 1.91493e9i | −0.101732 | − | 0.176204i | ||||
\(738\) | −1.96970e9 | + | 3.41162e9i | −0.180386 | + | 0.312437i | ||||
\(739\) | −5.67896e9 | − | 3.27875e9i | −0.517622 | − | 0.298849i | 0.218339 | − | 0.975873i | \(-0.429936\pi\) |
−0.735961 | + | 0.677024i | \(0.763269\pi\) | |||||||
\(740\) | −1.27184e10 | − | 2.20289e10i | −1.15378 | − | 1.99840i | ||||
\(741\) | 7.43570e9 | − | 1.86188e9i | 0.671364 | − | 0.168108i | ||||
\(742\) | −2.28982e9 | + | 3.29823e10i | −0.205773 | + | 2.96392i | ||||
\(743\) | − | 5.91773e8i | − | 0.0529291i | −0.999650 | − | 0.0264645i | \(-0.991575\pi\) | ||
0.999650 | − | 0.0264645i | \(-0.00842491\pi\) | |||||||
\(744\) | −7.98656e9 | − | 1.38331e10i | −0.710976 | − | 1.23145i | ||||
\(745\) | −3.75163e9 | + | 6.49801e9i | −0.332409 | + | 0.575749i | ||||
\(746\) | −5.58004e9 | − | 3.22164e9i | −0.492097 | − | 0.284113i | ||||
\(747\) | −1.66073e8 | + | 9.58824e7i | −0.0145773 | + | 0.00841622i | ||||
\(748\) | 5.11936e9i | 0.447260i | ||||||||
\(749\) | 3.68105e8 | + | 7.53773e8i | 0.0320100 | + | 0.0655472i | ||||
\(750\) | −8.09888e9 | −0.700988 | ||||||||
\(751\) | 4.77215e9 | + | 8.26560e9i | 0.411125 | + | 0.712089i | 0.995013 | − | 0.0997448i | \(-0.0318026\pi\) |
−0.583888 | + | 0.811834i | \(0.698469\pi\) | |||||||
\(752\) | −2.86530e10 | − | 1.65428e10i | −2.45701 | − | 1.41856i | ||||
\(753\) | −3.47702e9 | + | 6.02237e9i | −0.296773 | + | 0.514026i | ||||
\(754\) | 1.11110e9 | + | 1.14827e9i | 0.0943962 | + | 0.0975534i | ||||
\(755\) | −3.69908e9 | −0.312809 | ||||||||
\(756\) | 1.06190e10 | − | 1.57603e10i | 0.893836 | − | 1.32659i | ||||
\(757\) | −2.26020e10 | −1.89370 | −0.946852 | − | 0.321669i | \(-0.895756\pi\) | ||||
−0.946852 | + | 0.321669i | \(0.895756\pi\) | |||||||
\(758\) | −1.51775e10 | − | 2.62882e10i | −1.26578 | − | 2.19239i | ||||
\(759\) | 7.97098e8 | + | 4.60205e8i | 0.0661707 | + | 0.0382036i | ||||
\(760\) | 2.51084e10 | + | 1.44964e10i | 2.07478 | + | 1.19788i | ||||
\(761\) | 1.51400e10 | − | 8.74108e9i | 1.24532 | − | 0.718983i | 0.275144 | − | 0.961403i | \(-0.411275\pi\) |
0.970171 | + | 0.242420i | \(0.0779412\pi\) | |||||||
\(762\) | − | 3.26576e9i | − | 0.267388i | ||||||
\(763\) | −3.56016e8 | − | 2.39877e8i | −0.0290157 | − | 0.0195503i | ||||
\(764\) | 1.85790e10 | 1.50729 | ||||||||
\(765\) | 5.87412e9 | − | 3.39142e9i | 0.474381 | − | 0.273884i | ||||
\(766\) | 1.27861e10 | − | 2.21461e10i | 1.02786 | − | 1.78031i | ||||
\(767\) | −8.22099e8 | + | 2.87793e9i | −0.0657870 | + | 0.230301i | ||||
\(768\) | 4.60858e9 | + | 7.98229e9i | 0.367116 | + | 0.635863i | ||||
\(769\) | 1.66266e10i | 1.31844i | 0.751948 | + | 0.659222i | \(0.229114\pi\) | ||||
−0.751948 | + | 0.659222i | \(0.770886\pi\) | |||||||
\(770\) | −2.44190e9 | + | 1.19250e9i | −0.192757 | + | 0.0941329i | ||||
\(771\) | 6.46576e9 | 0.508077 | ||||||||
\(772\) | 4.55291e10 | − | 2.62862e10i | 3.56146 | − | 2.05621i | ||||
\(773\) | 2.49832e9 | + | 1.44240e9i | 0.194545 | + | 0.112320i | 0.594108 | − | 0.804385i | \(-0.297505\pi\) |
−0.399564 | + | 0.916705i | \(0.630838\pi\) | |||||||
\(774\) | −1.04050e10 | − | 6.00734e9i | −0.806583 | − | 0.465681i | ||||
\(775\) | −1.15442e10 | + | 6.66503e9i | −0.890855 | + | 0.514335i | ||||
\(776\) | 3.86039e10 | 2.96562 | ||||||||
\(777\) | −5.94500e8 | + | 8.56310e9i | −0.0454651 | + | 0.654874i | ||||
\(778\) | − | 2.58940e10i | − | 1.97138i | ||||||
\(779\) | 2.77491e9 | + | 4.80629e9i | 0.210314 | + | 0.364275i | ||||
\(780\) | 1.95110e9 | − | 6.83023e9i | 0.147214 | − | 0.515352i | ||||
\(781\) | 2.19663e9 | − | 3.80467e9i | 0.164998 | − | 0.285785i | ||||
\(782\) | −2.19674e10 | + | 1.26829e10i | −1.64269 | + | 0.948408i | ||||
\(783\) | 7.33388e8 | 0.0545968 | ||||||||
\(784\) | −8.61019e9 | − | 2.12499e10i | −0.638126 | − | 1.57489i | ||||
\(785\) | 5.66729e9i | 0.418149i | ||||||||
\(786\) | −2.17996e9 | + | 1.25860e9i | −0.160129 | + | 0.0924506i | ||||
\(787\) | 1.33151e10 | + | 7.68748e9i | 0.973717 | + | 0.562176i | 0.900368 | − | 0.435130i | \(-0.143298\pi\) |
0.0733499 | + | 0.997306i | \(0.476631\pi\) | |||||||
\(788\) | 1.62446e10 | + | 9.37884e9i | 1.18268 | + | 0.682822i | ||||
\(789\) | −3.54057e9 | − | 6.13245e9i | −0.256628 | − | 0.444492i | ||||
\(790\) | 2.03121e10 | 1.46575 | ||||||||
\(791\) | 1.38193e10 | + | 9.59418e8i | 0.992818 | + | 0.0689271i | ||||
\(792\) | −4.99862e9 | −0.357530 | ||||||||
\(793\) | 5.03486e9 | − | 4.87191e9i | 0.358534 | − | 0.346931i | ||||
\(794\) | 8.60375e9 | − | 1.49021e10i | 0.609981 | − | 1.05652i | ||||
\(795\) | 4.91227e9 | + | 2.83610e9i | 0.346735 | + | 0.200187i | ||||
\(796\) | 1.92996e10 | + | 3.34279e10i | 1.35629 | + | 2.34916i | ||||
\(797\) | 6.44976e9 | 0.451273 | 0.225637 | − | 0.974212i | \(-0.427554\pi\) | ||||
0.225637 | + | 0.974212i | \(0.427554\pi\) | |||||||
\(798\) | −7.82001e9 | − | 1.60131e10i | −0.544750 | − | 1.11549i | ||||
\(799\) | 2.51340e10i | 1.74320i | ||||||||
\(800\) | −6.68678e9 | + | 3.86062e9i | −0.461745 | + | 0.266589i | ||||
\(801\) | 5.69132e9 | + | 3.28589e9i | 0.391290 | + | 0.225912i | ||||
\(802\) | 1.14645e10 | − | 1.98571e10i | 0.784776 | − | 1.35927i | ||||
\(803\) | 8.98481e8 | + | 1.55621e9i | 0.0612357 | + | 0.106063i | ||||
\(804\) | − | 1.34373e10i | − | 0.911834i | ||||||
\(805\) | −7.69594e9 | − | 5.18540e9i | −0.519967 | − | 0.350345i | ||||
\(806\) | −1.08013e10 | − | 4.31366e10i | −0.726613 | − | 2.90184i | ||||
\(807\) | 3.86328e9 | + | 6.69140e9i | 0.258761 | + | 0.448188i | ||||
\(808\) | 1.18175e10 | + | 6.82282e9i | 0.788106 | + | 0.455013i | ||||
\(809\) | 6.06198e9 | − | 1.04997e10i | 0.402527 | − | 0.697196i | −0.591504 | − | 0.806302i | \(-0.701465\pi\) |
0.994030 | + | 0.109106i | \(0.0347988\pi\) | |||||||
\(810\) | 4.75134e9 | + | 8.22957e9i | 0.314137 | + | 0.544101i | ||||
\(811\) | 2.00162e9i | 0.131768i | 0.997827 | + | 0.0658838i | \(0.0209867\pi\) | ||||
−0.997827 | + | 0.0658838i | \(0.979013\pi\) | |||||||
\(812\) | 1.43055e9 | − | 2.12315e9i | 0.0937682 | − | 0.139167i | ||||
\(813\) | 2.19866e9i | 0.143497i | ||||||||
\(814\) | 7.76370e9 | − | 4.48237e9i | 0.504526 | − | 0.291288i | ||||
\(815\) | 3.34009e9 | − | 5.78521e9i | 0.216126 | − | 0.374341i | ||||
\(816\) | −5.37615e9 | + | 9.31177e9i | −0.346382 | + | 0.599952i | ||||
\(817\) | −1.46586e10 | + | 8.46315e9i | −0.940406 | + | 0.542944i | ||||
\(818\) | 5.05958e10 | 3.23205 | ||||||||
\(819\) | 1.01942e10 | − | 8.58013e9i | 0.648424 | − | 0.545758i | ||||
\(820\) | 5.14306e9 | 0.325741 | ||||||||
\(821\) | −1.04237e10 | + | 6.01810e9i | −0.657384 | + | 0.379541i | −0.791279 | − | 0.611455i | \(-0.790585\pi\) |
0.133896 | + | 0.990995i | \(0.457251\pi\) | |||||||
\(822\) | −7.66910e9 | + | 1.32833e10i | −0.481607 | + | 0.834168i | ||||
\(823\) | −3.25714e9 | + | 5.64154e9i | −0.203675 | + | 0.352775i | −0.949710 | − | 0.313132i | \(-0.898622\pi\) |
0.746035 | + | 0.665907i | \(0.231955\pi\) | |||||||
\(824\) | −6.30156e8 | + | 3.63821e8i | −0.0392376 | + | 0.0226539i | ||||
\(825\) | − | 7.50456e8i | − | 0.0465304i | ||||||
\(826\) | 6.94168e9 | + | 4.81931e8i | 0.428583 | + | 0.0297547i | ||||
\(827\) | − | 2.35663e10i | − | 1.44884i | −0.689357 | − | 0.724421i | \(-0.742107\pi\) | ||
0.689357 | − | 0.724421i | \(-0.257893\pi\) | |||||||
\(828\) | −1.55456e10 | − | 2.69258e10i | −0.951705 | − | 1.64840i | ||||
\(829\) | 7.18719e9 | − | 1.24486e10i | 0.438146 | − | 0.758890i | −0.559401 | − | 0.828897i | \(-0.688969\pi\) |
0.997547 | + | 0.0700068i | \(0.0223021\pi\) | |||||||
\(830\) | 3.14598e8 | + | 1.81633e8i | 0.0190978 | + | 0.0110261i | ||||
\(831\) | −7.13718e8 | − | 1.23620e9i | −0.0431442 | − | 0.0747280i | ||||
\(832\) | 6.00253e8 | + | 2.39720e9i | 0.0361329 | + | 0.144302i | ||||
\(833\) | −1.07097e10 | + | 1.37360e10i | −0.641976 | + | 0.823382i | ||||
\(834\) | 4.83561e9i | 0.288649i | ||||||||
\(835\) | −5.48802e9 | − | 9.50552e9i | −0.326222 | − | 0.565032i | ||||
\(836\) | −6.41343e9 | + | 1.11084e10i | −0.379637 | + | 0.657550i | ||||
\(837\) | −1.76760e10 | − | 1.02053e10i | −1.04195 | − | 0.601568i | ||||
\(838\) | −1.42017e10 | + | 8.19935e9i | −0.833654 | + | 0.481311i | ||||
\(839\) | 2.40444e9i | 0.140555i | 0.997527 | + | 0.0702776i | \(0.0223885\pi\) | ||||
−0.997527 | + | 0.0702776i | \(0.977611\pi\) | |||||||
\(840\) | −9.04481e9 | − | 6.27942e8i | −0.526528 | − | 0.0365546i | ||||
\(841\) | −1.71511e10 | −0.994273 | ||||||||
\(842\) | −1.49987e9 | − | 2.59784e9i | −0.0865885 | − | 0.149976i | ||||
\(843\) | 1.01463e10 | + | 5.85797e9i | 0.583326 | + | 0.336783i | ||||
\(844\) | −1.45844e10 | + | 2.52610e10i | −0.835008 | + | 1.44628i | ||||
\(845\) | 5.73478e9 | − | 9.21881e9i | 0.326978 | − | 0.525626i | ||||
\(846\) | −4.47008e10 | −2.53816 | ||||||||
\(847\) | 7.47064e9 | + | 1.52977e10i | 0.422441 | + | 0.865037i | ||||
\(848\) | 4.99814e10 | 2.81464 | ||||||||
\(849\) | −3.76981e9 | − | 6.52950e9i | −0.211418 | − | 0.366187i | ||||
\(850\) | 1.79112e10 | + | 1.03410e10i | 1.00036 | + | 0.577559i | ||||
\(851\) | 2.65117e10 | + | 1.53065e10i | 1.47463 | + | 0.851379i | ||||
\(852\) | 2.31211e10 | − | 1.33489e10i | 1.28076 | − | 0.739449i | ||||
\(853\) | 2.36258e9i | 0.130336i | 0.997874 | + | 0.0651682i | \(0.0207584\pi\) | ||||
−0.997874 | + | 0.0651682i | \(0.979242\pi\) | |||||||
\(854\) | −1.35080e10 | − | 9.10146e9i | −0.742144 | − | 0.500044i | ||||
\(855\) | 1.69948e10 | 0.929897 | ||||||||
\(856\) | 2.53134e9 | − | 1.46147e9i | 0.137941 | − | 0.0796400i | ||||
\(857\) | −1.77583e8 | + | 3.07582e8i | −0.00963757 | + | 0.0166928i | −0.870804 | − | 0.491630i | \(-0.836401\pi\) |
0.861166 | + | 0.508323i | \(0.169734\pi\) | |||||||
\(858\) | 2.40719e9 | + | 6.87629e8i | 0.130108 | + | 0.0371663i | ||||
\(859\) | 1.14810e10 | + | 1.98858e10i | 0.618024 | + | 1.07045i | 0.989846 | + | 0.142145i | \(0.0453999\pi\) |
−0.371822 | + | 0.928304i | \(0.621267\pi\) | |||||||
\(860\) | 1.56857e10i | 0.840928i | ||||||||
\(861\) | −1.43931e9 | − | 9.69782e8i | −0.0768498 | − | 0.0517801i | ||||
\(862\) | −2.50626e8 | −0.0133276 | ||||||||
\(863\) | −3.00582e10 | + | 1.73541e10i | −1.59194 | + | 0.919105i | −0.598962 | + | 0.800777i | \(0.704420\pi\) |
−0.992975 | + | 0.118328i | \(0.962247\pi\) | |||||||
\(864\) | −1.02386e10 | − | 5.91123e9i | −0.540058 | − | 0.311803i | ||||
\(865\) | 4.10204e9 | + | 2.36832e9i | 0.215498 | + | 0.124418i | ||||
\(866\) | 1.01055e10 | − | 5.83443e9i | 0.528746 | − | 0.305271i | ||||
\(867\) | 6.75061e8 | 0.0351784 | ||||||||
\(868\) | −6.40230e10 | + | 3.12656e10i | −3.32290 | + | 1.62274i | ||||
\(869\) | 4.93362e9i | 0.255033i | ||||||||
\(870\) | −3.18657e8 | − | 5.51930e8i | −0.0164061 | − | 0.0284162i | ||||
\(871\) | 5.64109e9 | − | 1.97478e10i | 0.289268 | − | 1.01264i | ||||
\(872\) | −7.47915e8 | + | 1.29543e9i | −0.0381983 | + | 0.0661614i | ||||
\(873\) | 1.95970e10 | − | 1.13143e10i | 0.996872 | − | 0.575545i | ||||
\(874\) | −6.35555e10 | −3.22005 | ||||||||
\(875\) | −1.37364e9 | + | 1.97857e10i | −0.0693178 | + | 0.998445i | ||||
\(876\) | 1.09202e10i | 0.548864i | ||||||||
\(877\) | −2.62039e10 | + | 1.51288e10i | −1.31180 | + | 0.757368i | −0.982394 | − | 0.186820i | \(-0.940182\pi\) |
−0.329406 | + | 0.944188i | \(0.606848\pi\) | |||||||
\(878\) | −3.19433e10 | − | 1.84425e10i | −1.59276 | − | 0.919579i | ||||
\(879\) | 7.78892e8 | + | 4.49693e8i | 0.0386826 | + | 0.0223334i | ||||
\(880\) | 2.05413e9 | + | 3.55785e9i | 0.101610 | + | 0.175994i | ||||
\(881\) | −1.14740e10 | −0.565328 | −0.282664 | − | 0.959219i | \(-0.591218\pi\) | ||||
−0.282664 | + | 0.959219i | \(0.591218\pi\) | |||||||
\(882\) | −2.44294e10 | − | 1.90472e10i | −1.19887 | − | 0.934739i | ||||
\(883\) | −1.01168e10 | −0.494517 | −0.247259 | − | 0.968950i | \(-0.579530\pi\) | ||||
−0.247259 | + | 0.968950i | \(0.579530\pi\) | |||||||
\(884\) | −3.41711e10 | + | 3.30652e10i | −1.66370 | + | 1.60986i | ||||
\(885\) | 5.96906e8 | − | 1.03387e9i | 0.0289471 | − | 0.0501378i | ||||
\(886\) | −3.29507e10 | − | 1.90241e10i | −1.59164 | − | 0.918936i | ||||
\(887\) | 1.83836e10 | + | 3.18413e10i | 0.884498 | + | 1.53200i | 0.846288 | + | 0.532726i | \(0.178833\pi\) |
0.0382108 | + | 0.999270i | \(0.487834\pi\) | |||||||
\(888\) | 2.99094e10 | 1.43338 | ||||||||
\(889\) | −7.97833e9 | − | 5.53902e8i | −0.380852 | − | 0.0264409i | ||||
\(890\) | − | 1.24491e10i | − | 0.591934i | ||||||
\(891\) | −1.99889e9 | + | 1.15406e9i | −0.0946708 | + | 0.0546582i | ||||
\(892\) | 8.86865e9 | + | 5.12032e9i | 0.418389 | + | 0.241557i | ||||
\(893\) | −3.14873e10 | + | 5.45376e10i | −1.47964 | + | 2.56281i | ||||
\(894\) | −8.03499e9 | − | 1.39170e10i | −0.376101 | − | 0.651425i | ||||
\(895\) | 1.58202e10i | 0.737616i | ||||||||
\(896\) | 2.18872e10 | − | 1.06886e10i | 1.01651 | − | 0.496412i | ||||
\(897\) | 2.07653e9 | + | 8.29291e9i | 0.0960647 | + | 0.383649i | ||||
\(898\) | −1.59106e10 | − | 2.75579e10i | −0.733193 | − | 1.26993i | ||||
\(899\) | −2.38123e9 | − | 1.37481e9i | −0.109306 | − | 0.0631077i | ||||
\(900\) | −1.26751e10 | + | 2.19540e10i | −0.579567 | + | 1.00384i | ||||
\(901\) | −1.89846e10 | − | 3.28822e10i | −0.864697 | − | 1.49770i | ||||
\(902\) | 1.81258e9i | 0.0822382i | ||||||||
\(903\) | 2.95772e9 | − | 4.38972e9i | 0.133675 | − | 0.198394i | ||||
\(904\) | − | 4.82686e10i | − | 2.17308i | ||||||
\(905\) | 7.48989e9 | − | 4.32429e9i | 0.335896 | − | 0.193930i | ||||
\(906\) | 3.96122e9 | − | 6.86104e9i | 0.176962 | − | 0.306508i | ||||
\(907\) | 1.13165e10 | − | 1.96007e10i | 0.503601 | − | 0.872262i | −0.496390 | − | 0.868099i | \(-0.665342\pi\) |
0.999991 | − | 0.00416290i | \(-0.00132510\pi\) | |||||||
\(908\) | −2.36842e10 | + | 1.36741e10i | −1.04992 | + | 0.606173i | ||||
\(909\) | 7.99873e9 | 0.353222 | ||||||||
\(910\) | −2.37316e10 | − | 8.59717e9i | −1.04396 | − | 0.378191i | ||||
\(911\) | 9.05506e9 | 0.396805 | 0.198403 | − | 0.980121i | \(-0.436425\pi\) | ||||
0.198403 | + | 0.980121i | \(0.436425\pi\) | |||||||
\(912\) | −2.33312e10 | + | 1.34703e10i | −1.01848 | + | 0.588022i | ||||
\(913\) | −4.41170e7 | + | 7.64129e7i | −0.00191849 | + | 0.00332291i | ||||
\(914\) | −1.86607e10 | + | 3.23214e10i | −0.808383 | + | 1.40016i | ||||
\(915\) | −2.42007e9 | + | 1.39723e9i | −0.104437 | + | 0.0602968i | ||||
\(916\) | 1.83456e10i | 0.788673i | ||||||||
\(917\) | 2.70505e9 | + | 5.53917e9i | 0.115847 | + | 0.237220i | ||||
\(918\) | 3.16675e10i | 1.35103i | ||||||||
\(919\) | −3.46490e9 | − | 6.00139e9i | −0.147261 | − | 0.255063i | 0.782953 | − | 0.622080i | \(-0.213712\pi\) |
−0.930214 | + | 0.367017i | \(0.880379\pi\) | |||||||
\(920\) | −1.61676e10 | + | 2.80030e10i | −0.684522 | + | 1.18563i | ||||
\(921\) | −5.65774e8 | − | 3.26650e8i | −0.0238635 | − | 0.0137776i | ||||
\(922\) | −1.88867e10 | − | 3.27127e10i | −0.793592 | − | 1.37454i | ||||
\(923\) | 3.95834e10 | − | 9.91158e9i | 1.65694 | − | 0.414894i | ||||
\(924\) | 2.77812e8 | − | 4.00157e9i | 0.0115851 | − | 0.166870i | ||||
\(925\) | − | 2.49603e10i | − | 1.03694i | ||||||
\(926\) | −1.93255e10 | − | 3.34727e10i | −0.799818 | − | 1.38533i | ||||
\(927\) | −2.13263e8 | + | 3.69382e8i | −0.00879297 | + | 0.0152299i | ||||
\(928\) | −1.37929e9 | − | 7.96334e8i | −0.0566550 | − | 0.0327098i | ||||
\(929\) | 6.53590e8 | − | 3.77350e8i | 0.0267455 | − | 0.0154415i | −0.486568 | − | 0.873643i | \(-0.661751\pi\) |
0.513313 | + | 0.858201i | \(0.328418\pi\) | |||||||
\(930\) | 1.77367e10i | 0.723074i | ||||||||
\(931\) | −4.04468e10 | + | 1.63885e10i | −1.64271 | + | 0.665603i | ||||
\(932\) | 6.04572e10 | 2.44620 | ||||||||
\(933\) | 4.85856e9 | + | 8.41526e9i | 0.195849 | + | 0.339220i | ||||
\(934\) | 4.51322e10 | + | 2.60571e10i | 1.81248 | + | 1.04643i | ||||
\(935\) | 1.56045e9 | − | 2.70277e9i | 0.0624322 | − | 0.108136i | ||||
\(936\) | −3.22853e10 | − | 3.33651e10i | −1.28688 | − | 1.32993i | ||||
\(937\) | 3.19315e10 | 1.26803 | 0.634017 | − | 0.773319i | \(-0.281405\pi\) | ||||
0.634017 | + | 0.773319i | \(0.281405\pi\) | |||||||
\(938\) | −4.76325e10 | − | 3.30692e9i | −1.88449 | − | 0.130832i | ||||
\(939\) | −9.29503e9 | −0.366371 | ||||||||
\(940\) | 2.91794e10 | + | 5.05403e10i | 1.14585 | + | 1.98468i | ||||
\(941\) | 5.93574e9 | + | 3.42700e9i | 0.232226 | + | 0.134076i | 0.611599 | − | 0.791168i | \(-0.290527\pi\) |
−0.379372 | + | 0.925244i | \(0.623860\pi\) | |||||||
\(942\) | −1.05117e10 | − | 6.06892e9i | −0.409726 | − | 0.236555i | ||||
\(943\) | −5.36038e9 | + | 3.09482e9i | −0.208164 | + | 0.120183i | ||||
\(944\) | − | 1.05194e10i | − | 0.406997i | ||||||
\(945\) | −1.04103e10 | + | 5.08385e9i | −0.401283 | + | 0.195966i | ||||
\(946\) | −5.52814e9 | −0.212305 | ||||||||
\(947\) | −8.82873e9 | + | 5.09727e9i | −0.337811 | + | 0.195035i | −0.659303 | − | 0.751877i | \(-0.729149\pi\) |
0.321493 | + | 0.946912i | \(0.395815\pi\) | |||||||
\(948\) | −1.49908e10 | + | 2.59649e10i | −0.571474 | + | 0.989822i | ||||
\(949\) | −4.58438e9 | + | 1.60486e10i | −0.174120 | + | 0.609544i | ||||
\(950\) | 2.59100e10 | + | 4.48774e10i | 0.980471 | + | 1.69823i | ||||
\(951\) | − | 2.08771e9i | − | 0.0787114i | ||||||
\(952\) | 5.03318e10 | + | 3.39127e10i | 1.89066 | + | 1.27389i | ||||
\(953\) | 2.32097e10 | 0.868650 | 0.434325 | − | 0.900756i | \(-0.356987\pi\) | ||||
0.434325 | + | 0.900756i | \(0.356987\pi\) | |||||||
\(954\) | 5.84811e10 | − | 3.37641e10i | 2.18070 | − | 1.25903i | ||||
\(955\) | −9.80882e9 | − | 5.66313e9i | −0.364422 | − | 0.210399i | ||||
\(956\) | 2.76729e10 | + | 1.59770e10i | 1.02436 | + | 0.591415i | ||||
\(957\) | 1.34059e8 | − | 7.73988e7i | 0.00494428 | − | 0.00285458i | ||||
\(958\) | 5.42858e9 | 0.199484 | ||||||||
\(959\) | 3.11506e10 | + | 2.09887e10i | 1.14052 | + | 0.768460i | ||||
\(960\) | − | 9.85670e8i | − | 0.0359569i | ||||||
\(961\) | 2.45051e10 | + | 4.24442e10i | 0.890688 | + | 1.54272i | ||||
\(962\) | 8.00638e10 | + | 2.28707e10i | 2.89950 | + | 0.828261i | ||||
\(963\) | 8.56676e8 | − | 1.48381e9i | 0.0309118 | − | 0.0535408i | ||||
\(964\) | 7.32215e10 | − | 4.22745e10i | 2.63251 | − | 1.51988i | ||||
\(965\) | −3.20495e10 | −1.14809 | ||||||||
\(966\) | 1.78592e10 | − | 8.72153e9i | 0.637444 | − | 0.311296i | ||||
\(967\) | − | 5.40693e9i | − | 0.192290i | −0.995367 | − | 0.0961452i | \(-0.969349\pi\) | ||
0.995367 | − | 0.0961452i | \(-0.0306513\pi\) | |||||||
\(968\) | 5.13731e10 | − | 2.96603e10i | 1.82042 | − | 1.05102i | ||||
\(969\) | 1.77239e10 | + | 1.02329e10i | 0.625785 | + | 0.361297i | ||||
\(970\) | −3.71232e10 | − | 2.14331e10i | −1.30600 | − | 0.754022i | ||||
\(971\) | −2.05300e10 | − | 3.55589e10i | −0.719649 | − | 1.24647i | −0.961139 | − | 0.276066i | \(-0.910969\pi\) |
0.241489 | − | 0.970403i | \(-0.422364\pi\) | |||||||
\(972\) | −5.98248e10 | −2.08953 | ||||||||
\(973\) | 1.18135e10 | + | 8.20162e8i | 0.411135 | + | 0.0285433i | ||||
\(974\) | −2.94237e9 | −0.102033 | ||||||||
\(975\) | 5.00919e9 | − | 4.84708e9i | 0.173082 | − | 0.167480i | ||||
\(976\) | −1.23119e10 | + | 2.13248e10i | −0.423887 | + | 0.734194i | ||||
\(977\) | 1.05008e10 | + | 6.06266e9i | 0.360241 | + | 0.207985i | 0.669186 | − | 0.743095i | \(-0.266643\pi\) |
−0.308945 | + | 0.951080i | \(0.599976\pi\) | |||||||
\(978\) | 7.15359e9 | + | 1.23904e10i | 0.244533 | + | 0.423544i | ||||
\(979\) | 3.02378e9 | 0.102994 | ||||||||
\(980\) | −5.58853e9 | + | 4.00542e10i | −0.189673 | + | 1.35943i | ||||
\(981\) | 8.76817e8i | 0.0296529i | ||||||||
\(982\) | 1.10949e10 | − | 6.40562e9i | 0.373880 | − | 0.215860i | ||||
\(983\) | −3.06019e10 | − | 1.76680e10i | −1.02757 | − | 0.593268i | −0.111283 | − | 0.993789i | \(-0.535496\pi\) |
−0.916288 | + | 0.400521i | \(0.868829\pi\) | |||||||
\(984\) | −3.02369e9 | + | 5.23718e9i | −0.101171 | + | 0.175232i | ||||
\(985\) | −5.71758e9 | − | 9.90314e9i | −0.190628 | − | 0.330177i | ||||
\(986\) | 4.26611e9i | 0.141730i | ||||||||
\(987\) | 1.36394e9 | − | 1.96461e10i | 0.0451529 | − | 0.650377i | ||||
\(988\) | −1.15570e11 | + | 2.89385e10i | −3.81239 | + | 0.954613i | ||||
\(989\) | −9.43881e9 | − | 1.63485e10i | −0.310263 | − | 0.537392i | ||||
\(990\) | 4.80689e9 | + | 2.77526e9i | 0.157449 | + | 0.0909034i | ||||
\(991\) | 2.79888e10 | − | 4.84780e10i | 0.913537 | − | 1.58229i | 0.104507 | − | 0.994524i | \(-0.466673\pi\) |
0.809029 | − | 0.587768i | \(-0.199993\pi\) | |||||||
\(992\) | 2.21623e10 | + | 3.83863e10i | 0.720817 | + | 1.24849i | ||||
\(993\) | 1.48245e10i | 0.480462i | ||||||||
\(994\) | −4.16293e10 | − | 8.52447e10i | −1.34446 | − | 2.75306i | ||||
\(995\) | − | 2.35311e10i | − | 0.757288i | ||||||
\(996\) | −4.64362e8 | + | 2.68100e8i | −0.0148919 | + | 0.00859783i | ||||
\(997\) | −1.76645e10 | + | 3.05959e10i | −0.564507 | + | 0.977755i | 0.432588 | + | 0.901592i | \(0.357600\pi\) |
−0.997095 | + | 0.0761635i | \(0.975733\pi\) | |||||||
\(998\) | 3.57176e10 | − | 6.18648e10i | 1.13743 | − | 1.97009i | ||||
\(999\) | 3.30981e10 | − | 1.91092e10i | 1.05032 | − | 0.606405i |
(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 | 91.8.r.a.25.4 | ✓ | 128 | |
7.2 | even | 3 | inner | 91.8.r.a.51.61 | yes | 128 | |
13.12 | even | 2 | inner | 91.8.r.a.25.61 | yes | 128 | |
91.51 | even | 6 | inner | 91.8.r.a.51.4 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.r.a.25.4 | ✓ | 128 | 1.1 | even | 1 | trivial | |
91.8.r.a.25.61 | yes | 128 | 13.12 | even | 2 | inner | |
91.8.r.a.51.4 | yes | 128 | 91.51 | even | 6 | inner | |
91.8.r.a.51.61 | yes | 128 | 7.2 | even | 3 | inner |