Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,12,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), 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: | \(8.45177498616\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 4.1 | ||
Character | \(\chi\) | \(=\) | 11.4 |
Dual form | 11.12.c.a.3.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −66.2723 | − | 48.1496i | −1.46442 | − | 1.06397i | −0.982183 | − | 0.187929i | \(-0.939823\pi\) |
−0.482242 | − | 0.876038i | \(-0.660177\pi\) | |||||||
\(3\) | 155.409 | − | 478.301i | 0.369241 | − | 1.13641i | −0.578041 | − | 0.816008i | \(-0.696183\pi\) |
0.947282 | − | 0.320400i | \(-0.103817\pi\) | |||||||
\(4\) | 1440.76 | + | 4434.21i | 0.703497 | + | 2.16514i | ||||
\(5\) | −3908.19 | + | 2839.47i | −0.559295 | + | 0.406351i | −0.831201 | − | 0.555972i | \(-0.812346\pi\) |
0.271906 | + | 0.962324i | \(0.412346\pi\) | |||||||
\(6\) | −33329.3 | + | 24215.2i | −1.74983 | + | 1.27132i | ||||
\(7\) | 15024.9 | + | 46241.9i | 0.337888 | + | 1.03991i | 0.965282 | + | 0.261210i | \(0.0841215\pi\) |
−0.627394 | + | 0.778702i | \(0.715878\pi\) | |||||||
\(8\) | 66180.4 | − | 203682.i | 0.714060 | − | 2.19765i | ||||
\(9\) | −61304.7 | − | 44540.5i | −0.346067 | − | 0.251432i | ||||
\(10\) | 395724. | 1.25139 | ||||||||
\(11\) | 346976. | + | 406103.i | 0.649590 | + | 0.760284i | ||||
\(12\) | 2.34479e6 | 2.72024 | ||||||||
\(13\) | −1.50664e6 | − | 1.09464e6i | −1.12544 | − | 0.817679i | −0.140413 | − | 0.990093i | \(-0.544843\pi\) |
−0.985025 | + | 0.172414i | \(0.944843\pi\) | |||||||
\(14\) | 1.23080e6 | − | 3.78800e6i | 0.611620 | − | 1.88237i | ||||
\(15\) | 750750. | + | 2.31057e6i | 0.255266 | + | 0.785629i | ||||
\(16\) | −6.46817e6 | + | 4.69940e6i | −1.54213 | + | 1.12043i | ||||
\(17\) | 3.49865e6 | − | 2.54192e6i | 0.597628 | − | 0.434202i | −0.247408 | − | 0.968911i | \(-0.579579\pi\) |
0.845036 | + | 0.534709i | \(0.179579\pi\) | |||||||
\(18\) | 1.91819e6 | + | 5.90360e6i | 0.239273 | + | 0.736407i | ||||
\(19\) | −6.47653e6 | + | 1.99327e7i | −0.600064 | + | 1.84681i | −0.0723632 | + | 0.997378i | \(0.523054\pi\) |
−0.527701 | + | 0.849430i | \(0.676946\pi\) | |||||||
\(20\) | −1.82216e7 | − | 1.32387e7i | −1.27327 | − | 0.925085i | ||||
\(21\) | 2.44526e7 | 1.30653 | ||||||||
\(22\) | −3.44119e6 | − | 4.36201e7i | −0.142359 | − | 1.80452i | ||||
\(23\) | 2.70056e7 | 0.874884 | 0.437442 | − | 0.899247i | \(-0.355884\pi\) | ||||
0.437442 | + | 0.899247i | \(0.355884\pi\) | |||||||
\(24\) | −8.71364e7 | − | 6.33083e7i | −2.23377 | − | 1.62293i | ||||
\(25\) | −7.87734e6 | + | 2.42440e7i | −0.161328 | + | 0.496516i | ||||
\(26\) | 4.71421e7 | + | 1.45089e8i | 0.778136 | + | 2.39486i | ||||
\(27\) | 4.12442e7 | − | 2.99657e7i | 0.553175 | − | 0.401905i | ||||
\(28\) | −1.83399e8 | + | 1.33247e8i | −2.01385 | + | 1.46315i | ||||
\(29\) | −8.03568e6 | − | 2.47313e7i | −0.0727501 | − | 0.223902i | 0.908070 | − | 0.418819i | \(-0.137556\pi\) |
−0.980820 | + | 0.194918i | \(0.937556\pi\) | |||||||
\(30\) | 6.14992e7 | − | 1.89275e8i | 0.462065 | − | 1.42209i | ||||
\(31\) | 1.57211e8 | + | 1.14220e8i | 0.986265 | + | 0.716563i | 0.959100 | − | 0.283068i | \(-0.0913521\pi\) |
0.0271649 | + | 0.999631i | \(0.491352\pi\) | |||||||
\(32\) | 2.16327e8 | 1.13969 | ||||||||
\(33\) | 2.48163e8 | − | 1.02847e8i | 1.10385 | − | 0.457471i | ||||
\(34\) | −3.54256e8 | −1.33716 | ||||||||
\(35\) | −1.90023e8 | − | 1.38059e8i | −0.611549 | − | 0.444316i | ||||
\(36\) | 1.09176e8 | − | 3.36010e8i | 0.300929 | − | 0.926165i | ||||
\(37\) | 1.24593e8 | + | 3.83459e8i | 0.295383 | + | 0.909095i | 0.983093 | + | 0.183109i | \(0.0586162\pi\) |
−0.687710 | + | 0.725986i | \(0.741384\pi\) | |||||||
\(38\) | 1.38897e9 | − | 1.00914e9i | 2.84369 | − | 2.06606i | ||||
\(39\) | −7.57713e8 | + | 5.50511e8i | −1.34477 | + | 0.977036i | ||||
\(40\) | 3.19704e8 | + | 9.83946e8i | 0.493648 | + | 1.51929i | ||||
\(41\) | −5.08461e7 | + | 1.56488e8i | −0.0685404 | + | 0.210946i | −0.979460 | − | 0.201638i | \(-0.935374\pi\) |
0.910920 | + | 0.412584i | \(0.135374\pi\) | |||||||
\(42\) | −1.62053e9 | − | 1.17738e9i | −1.91331 | − | 1.39010i | ||||
\(43\) | −3.85055e8 | −0.399436 | −0.199718 | − | 0.979853i | \(-0.564003\pi\) | ||||
−0.199718 | + | 0.979853i | \(0.564003\pi\) | |||||||
\(44\) | −1.30083e9 | + | 2.12366e9i | −1.18914 | + | 1.94131i | ||||
\(45\) | 3.66061e8 | 0.295723 | ||||||||
\(46\) | −1.78972e9 | − | 1.30031e9i | −1.28120 | − | 0.930848i | ||||
\(47\) | −5.45509e7 | + | 1.67890e8i | −0.0346947 | + | 0.106779i | −0.966904 | − | 0.255140i | \(-0.917878\pi\) |
0.932209 | + | 0.361919i | \(0.117878\pi\) | |||||||
\(48\) | 1.24251e9 | + | 3.82406e9i | 0.703841 | + | 2.16620i | ||||
\(49\) | −3.12876e8 | + | 2.27317e8i | −0.158232 | + | 0.114962i | ||||
\(50\) | 1.68939e9 | − | 1.22741e9i | 0.764529 | − | 0.555463i | ||||
\(51\) | −6.72078e8 | − | 2.06844e9i | −0.272762 | − | 0.839475i | ||||
\(52\) | 2.68315e9 | − | 8.25788e9i | 0.978647 | − | 3.01197i | ||||
\(53\) | 1.09793e9 | + | 7.97695e8i | 0.360627 | + | 0.262011i | 0.753314 | − | 0.657661i | \(-0.228454\pi\) |
−0.392686 | + | 0.919672i | \(0.628454\pi\) | |||||||
\(54\) | −4.17618e9 | −1.23770 | ||||||||
\(55\) | −2.50916e9 | − | 6.01900e8i | −0.672255 | − | 0.161261i | ||||
\(56\) | 1.04130e10 | 2.52663 | ||||||||
\(57\) | 8.52732e9 | + | 6.19546e9i | 1.87716 | + | 1.36384i | ||||
\(58\) | −6.58259e8 | + | 2.02591e9i | −0.131687 | + | 0.405291i | ||||
\(59\) | 1.51122e9 | + | 4.65104e9i | 0.275195 | + | 0.846963i | 0.989168 | + | 0.146790i | \(0.0468940\pi\) |
−0.713973 | + | 0.700173i | \(0.753106\pi\) | |||||||
\(60\) | −9.16390e9 | + | 6.65796e9i | −1.52142 | + | 1.10537i | ||||
\(61\) | −4.21665e9 | + | 3.06357e9i | −0.639224 | + | 0.464424i | −0.859584 | − | 0.510995i | \(-0.829277\pi\) |
0.220359 | + | 0.975419i | \(0.429277\pi\) | |||||||
\(62\) | −4.91906e9 | − | 1.51393e10i | −0.681911 | − | 2.09871i | ||||
\(63\) | 1.13854e9 | − | 3.50406e9i | 0.144536 | − | 0.444835i | ||||
\(64\) | −1.08966e9 | − | 7.91683e8i | −0.126853 | − | 0.0921640i | ||||
\(65\) | 8.99644e9 | 0.961716 | ||||||||
\(66\) | −2.13983e10 | − | 5.13305e9i | −2.10324 | − | 0.504527i | ||||
\(67\) | −1.38638e9 | −0.125450 | −0.0627251 | − | 0.998031i | \(-0.519979\pi\) | ||||
−0.0627251 | + | 0.998031i | \(0.519979\pi\) | |||||||
\(68\) | 1.63121e10 | + | 1.18514e10i | 1.36054 | + | 0.988490i | ||||
\(69\) | 4.19692e9 | − | 1.29168e10i | 0.323043 | − | 0.994225i | ||||
\(70\) | 5.94572e9 | + | 1.82990e10i | 0.422829 | + | 1.30133i | ||||
\(71\) | 7.50039e9 | − | 5.44935e9i | 0.493359 | − | 0.358446i | −0.313116 | − | 0.949715i | \(-0.601373\pi\) |
0.806475 | + | 0.591269i | \(0.201373\pi\) | |||||||
\(72\) | −1.31293e10 | + | 9.53897e9i | −0.799672 | + | 0.580996i | ||||
\(73\) | 2.29069e9 | + | 7.05003e9i | 0.129328 | + | 0.398030i | 0.994665 | − | 0.103161i | \(-0.0328956\pi\) |
−0.865337 | + | 0.501190i | \(0.832896\pi\) | |||||||
\(74\) | 1.02063e10 | − | 3.14118e10i | 0.534681 | − | 1.64558i | ||||
\(75\) | 1.03717e10 | + | 7.53547e9i | 0.504676 | + | 0.366669i | ||||
\(76\) | −9.77170e10 | −4.42075 | ||||||||
\(77\) | −1.35657e10 | + | 2.21465e10i | −0.571140 | + | 0.932408i | ||||
\(78\) | 7.67223e10 | 3.00885 | ||||||||
\(79\) | −1.98144e10 | − | 1.43960e10i | −0.724488 | − | 0.526371i | 0.163327 | − | 0.986572i | \(-0.447777\pi\) |
−0.887815 | + | 0.460201i | \(0.847777\pi\) | |||||||
\(80\) | 1.19351e10 | − | 3.67323e10i | 0.407220 | − | 1.25330i | ||||
\(81\) | −1.20710e10 | − | 3.71507e10i | −0.384659 | − | 1.18386i | ||||
\(82\) | 1.09045e10 | − | 7.92261e9i | 0.324811 | − | 0.235989i | ||||
\(83\) | −4.06900e10 | + | 2.95630e10i | −1.13386 | + | 0.823794i | −0.986251 | − | 0.165252i | \(-0.947156\pi\) |
−0.147604 | + | 0.989046i | \(0.547156\pi\) | |||||||
\(84\) | 3.52303e10 | + | 1.08428e11i | 0.919137 | + | 2.82881i | ||||
\(85\) | −6.45570e9 | + | 1.98686e10i | −0.157812 | + | 0.485694i | ||||
\(86\) | 2.55185e10 | + | 1.85403e10i | 0.584943 | + | 0.424986i | ||||
\(87\) | −1.30778e10 | −0.281306 | ||||||||
\(88\) | 1.05679e11 | − | 4.37968e10i | 2.13468 | − | 0.884683i | ||||
\(89\) | −6.01557e10 | −1.14191 | −0.570954 | − | 0.820982i | \(-0.693427\pi\) | ||||
−0.570954 | + | 0.820982i | \(0.693427\pi\) | |||||||
\(90\) | −2.42597e10 | − | 1.76257e10i | −0.433064 | − | 0.314640i | ||||
\(91\) | 2.79811e10 | − | 8.61169e10i | 0.470042 | − | 1.44664i | ||||
\(92\) | 3.89086e10 | + | 1.19748e11i | 0.615478 | + | 1.89425i | ||||
\(93\) | 7.90638e10 | − | 5.74432e10i | 1.17848 | − | 0.856214i | ||||
\(94\) | 1.16991e10 | − | 8.49987e9i | 0.164418 | − | 0.119456i | ||||
\(95\) | −3.12868e10 | − | 9.62908e10i | −0.414840 | − | 1.27675i | ||||
\(96\) | 3.36192e10 | − | 1.03469e11i | 0.420820 | − | 1.29515i | ||||
\(97\) | 9.73452e9 | + | 7.07254e9i | 0.115099 | + | 0.0836240i | 0.643845 | − | 0.765156i | \(-0.277338\pi\) |
−0.528747 | + | 0.848780i | \(0.677338\pi\) | |||||||
\(98\) | 3.16802e10 | 0.354034 | ||||||||
\(99\) | −3.18324e9 | − | 4.03505e10i | −0.0336416 | − | 0.426437i | ||||
\(100\) | −1.18852e11 | −1.18852 | ||||||||
\(101\) | −6.15724e10 | − | 4.47349e10i | −0.582933 | − | 0.423525i | 0.256848 | − | 0.966452i | \(-0.417316\pi\) |
−0.839780 | + | 0.542927i | \(0.817316\pi\) | |||||||
\(102\) | −5.50547e10 | + | 1.69441e11i | −0.493734 | + | 1.51956i | ||||
\(103\) | 2.84920e10 | + | 8.76893e10i | 0.242169 | + | 0.745319i | 0.996089 | + | 0.0883529i | \(0.0281603\pi\) |
−0.753921 | + | 0.656966i | \(0.771840\pi\) | |||||||
\(104\) | −3.22669e11 | + | 2.34433e11i | −2.60060 | + | 1.88945i | ||||
\(105\) | −9.55652e10 | + | 6.94322e10i | −0.730733 | + | 0.530909i | ||||
\(106\) | −3.43538e10 | − | 1.05730e11i | −0.249340 | − | 0.767391i | ||||
\(107\) | −3.06829e10 | + | 9.44324e10i | −0.211488 | + | 0.650894i | 0.787896 | + | 0.615808i | \(0.211170\pi\) |
−0.999384 | + | 0.0350856i | \(0.988830\pi\) | |||||||
\(108\) | 1.92297e11 | + | 1.39712e11i | 1.25934 | + | 0.914962i | ||||
\(109\) | 1.34399e11 | 0.836665 | 0.418333 | − | 0.908294i | \(-0.362615\pi\) | ||||
0.418333 | + | 0.908294i | \(0.362615\pi\) | |||||||
\(110\) | 1.37307e11 | + | 1.60705e11i | 0.812890 | + | 0.951412i | ||||
\(111\) | 2.02772e11 | 1.14217 | ||||||||
\(112\) | −3.14493e11 | − | 2.28493e11i | −1.68621 | − | 1.22510i | ||||
\(113\) | −5.86637e9 | + | 1.80548e10i | −0.0299528 | + | 0.0921853i | −0.964915 | − | 0.262561i | \(-0.915433\pi\) |
0.934963 | + | 0.354747i | \(0.115433\pi\) | |||||||
\(114\) | −2.66816e11 | − | 8.21175e11i | −1.29788 | − | 3.99447i | ||||
\(115\) | −1.05543e11 | + | 7.66815e10i | −0.489318 | + | 0.355510i | ||||
\(116\) | 9.80861e10 | − | 7.12637e10i | 0.433599 | − | 0.315028i | ||||
\(117\) | 4.36085e10 | + | 1.34213e11i | 0.183886 | + | 0.565943i | ||||
\(118\) | 1.23794e11 | − | 3.81000e11i | 0.498138 | − | 1.53311i | ||||
\(119\) | 1.70110e11 | + | 1.23592e11i | 0.653464 | + | 0.474769i | ||||
\(120\) | 5.20307e11 | 1.90881 | ||||||||
\(121\) | −4.45272e10 | + | 2.81816e11i | −0.156065 | + | 0.987747i | ||||
\(122\) | 4.26957e11 | 1.43023 | ||||||||
\(123\) | 6.69465e10 | + | 4.86395e10i | 0.214412 | + | 0.155780i | ||||
\(124\) | −2.79974e11 | + | 8.61671e11i | −0.857627 | + | 2.63950i | ||||
\(125\) | −1.10944e11 | − | 3.41451e11i | −0.325162 | − | 1.00075i | ||||
\(126\) | −2.44173e11 | + | 1.77402e11i | −0.684951 | + | 0.497646i | ||||
\(127\) | 5.87557e11 | − | 4.26885e11i | 1.57808 | − | 1.14654i | 0.659230 | − | 0.751941i | \(-0.270882\pi\) |
0.918852 | − | 0.394602i | \(-0.129118\pi\) | |||||||
\(128\) | −1.02811e11 | − | 3.16420e11i | −0.264476 | − | 0.813972i | ||||
\(129\) | −5.98412e10 | + | 1.84172e11i | −0.147488 | + | 0.453922i | ||||
\(130\) | −5.96214e11 | − | 4.33175e11i | −1.40836 | − | 1.02323i | ||||
\(131\) | 1.45767e11 | 0.330117 | 0.165058 | − | 0.986284i | \(-0.447219\pi\) | ||||
0.165058 | + | 0.986284i | \(0.447219\pi\) | |||||||
\(132\) | 8.13587e11 | + | 9.52227e11i | 1.76704 | + | 2.06816i | ||||
\(133\) | −1.01904e12 | −2.12327 | ||||||||
\(134\) | 9.18786e10 | + | 6.67537e10i | 0.183712 | + | 0.133475i | ||||
\(135\) | −7.61037e10 | + | 2.34223e11i | −0.146073 | + | 0.449567i | ||||
\(136\) | −2.86202e11 | − | 8.80838e11i | −0.527482 | − | 1.62342i | ||||
\(137\) | 1.70761e11 | − | 1.24065e11i | 0.302290 | − | 0.219627i | −0.426291 | − | 0.904586i | \(-0.640180\pi\) |
0.728581 | + | 0.684959i | \(0.240180\pi\) | |||||||
\(138\) | −9.00079e11 | + | 6.53945e11i | −1.53090 | + | 1.11226i | ||||
\(139\) | 3.57378e11 | + | 1.09990e12i | 0.584180 | + | 1.79792i | 0.602538 | + | 0.798090i | \(0.294156\pi\) |
−0.0183576 | + | 0.999831i | \(0.505844\pi\) | |||||||
\(140\) | 3.38407e11 | − | 1.04151e12i | 0.531784 | − | 1.63666i | ||||
\(141\) | 7.18244e10 | + | 5.21835e10i | 0.108534 | + | 0.0788547i | ||||
\(142\) | −7.59452e11 | −1.10386 | ||||||||
\(143\) | −7.82323e10 | − | 9.91665e11i | −0.109405 | − | 1.38681i | ||||
\(144\) | 6.05843e11 | 0.815392 | ||||||||
\(145\) | 1.01629e11 | + | 7.38375e10i | 0.131671 | + | 0.0956649i | ||||
\(146\) | 1.87647e11 | − | 5.77518e11i | 0.234100 | − | 0.720485i | ||||
\(147\) | 6.01023e10 | + | 1.84976e11i | 0.0722181 | + | 0.222264i | ||||
\(148\) | −1.52083e12 | + | 1.10495e12i | −1.76052 | + | 1.27909i | ||||
\(149\) | −4.90331e11 | + | 3.56246e11i | −0.546971 | + | 0.397398i | −0.826668 | − | 0.562691i | \(-0.809766\pi\) |
0.279696 | + | 0.960089i | \(0.409766\pi\) | |||||||
\(150\) | −3.24525e11 | − | 9.98786e11i | −0.348937 | − | 1.07392i | ||||
\(151\) | 4.83876e11 | − | 1.48922e12i | 0.501604 | − | 1.54378i | −0.304802 | − | 0.952416i | \(-0.598590\pi\) |
0.806406 | − | 0.591362i | \(-0.201410\pi\) | |||||||
\(152\) | 3.63132e12 | + | 2.63831e12i | 3.63016 | + | 2.63746i | ||||
\(153\) | −3.27702e11 | −0.315992 | ||||||||
\(154\) | 1.96537e12 | − | 8.14515e11i | 1.82844 | − | 0.757766i | ||||
\(155\) | −9.38736e11 | −0.842789 | ||||||||
\(156\) | −3.53276e12 | − | 2.56670e12i | −3.06147 | − | 2.22429i | ||||
\(157\) | −4.09917e10 | + | 1.26160e11i | −0.0342964 | + | 0.105553i | −0.966739 | − | 0.255764i | \(-0.917673\pi\) |
0.932443 | + | 0.361317i | \(0.117673\pi\) | |||||||
\(158\) | 6.19982e11 | + | 1.90811e12i | 0.500916 | + | 1.54166i | ||||
\(159\) | 5.52167e11 | − | 4.01173e11i | 0.430910 | − | 0.313074i | ||||
\(160\) | −8.45447e11 | + | 6.14253e11i | −0.637421 | + | 0.463113i | ||||
\(161\) | 4.05757e11 | + | 1.24879e12i | 0.295613 | + | 0.909803i | ||||
\(162\) | −9.88821e11 | + | 3.04328e12i | −0.696282 | + | 2.14293i | ||||
\(163\) | −1.27472e12 | − | 9.26140e11i | −0.867728 | − | 0.630442i | 0.0622481 | − | 0.998061i | \(-0.480173\pi\) |
−0.929976 | + | 0.367619i | \(0.880173\pi\) | |||||||
\(164\) | −7.67159e11 | −0.504945 | ||||||||
\(165\) | −6.77837e11 | + | 1.10659e12i | −0.431483 | + | 0.704412i | ||||
\(166\) | 4.12006e12 | 2.53694 | ||||||||
\(167\) | −1.75120e11 | − | 1.27232e11i | −0.104327 | − | 0.0757977i | 0.534399 | − | 0.845232i | \(-0.320538\pi\) |
−0.638725 | + | 0.769435i | \(0.720538\pi\) | |||||||
\(168\) | 1.61828e12 | − | 4.98055e12i | 0.932938 | − | 2.87129i | ||||
\(169\) | 5.17926e11 | + | 1.59401e12i | 0.288995 | + | 0.889436i | ||||
\(170\) | 1.38450e12 | − | 1.00590e12i | 0.747866 | − | 0.543356i | ||||
\(171\) | 1.28485e12 | − | 9.33501e11i | 0.672009 | − | 0.488243i | ||||
\(172\) | −5.54773e11 | − | 1.70742e12i | −0.281002 | − | 0.864835i | ||||
\(173\) | 4.07476e11 | − | 1.25408e12i | 0.199916 | − | 0.615279i | −0.799968 | − | 0.600043i | \(-0.795150\pi\) |
0.999884 | − | 0.0152358i | \(-0.00484989\pi\) | |||||||
\(174\) | 8.66696e11 | + | 6.29692e11i | 0.411951 | + | 0.299300i | ||||
\(175\) | −1.23944e12 | −0.570844 | ||||||||
\(176\) | −4.15274e12 | − | 9.96164e11i | −1.85360 | − | 0.444642i | ||||
\(177\) | 2.45946e12 | 1.06411 | ||||||||
\(178\) | 3.98665e12 | + | 2.89647e12i | 1.67224 | + | 1.21495i | ||||
\(179\) | 8.07121e11 | − | 2.48406e12i | 0.328282 | − | 1.01035i | −0.641655 | − | 0.766993i | \(-0.721752\pi\) |
0.969937 | − | 0.243355i | \(-0.0782480\pi\) | |||||||
\(180\) | 5.27408e11 | + | 1.62319e12i | 0.208040 | + | 0.640282i | ||||
\(181\) | −1.58517e12 | + | 1.15169e12i | −0.606517 | + | 0.440661i | −0.848186 | − | 0.529698i | \(-0.822305\pi\) |
0.241669 | + | 0.970359i | \(0.422305\pi\) | |||||||
\(182\) | −6.00086e12 | + | 4.35988e12i | −2.22752 | + | 1.61839i | ||||
\(183\) | 8.10004e11 | + | 2.49293e12i | 0.291747 | + | 0.897904i | ||||
\(184\) | 1.78724e12 | − | 5.50056e12i | 0.624719 | − | 1.92269i | ||||
\(185\) | −1.57575e12 | − | 1.14485e12i | −0.534618 | − | 0.388423i | ||||
\(186\) | −8.00561e12 | −2.63678 | ||||||||
\(187\) | 2.24623e12 | + | 5.38827e11i | 0.718331 | + | 0.172314i | ||||
\(188\) | −8.23056e11 | −0.255600 | ||||||||
\(189\) | 2.00536e12 | + | 1.45698e12i | 0.604857 | + | 0.439454i | ||||
\(190\) | −2.56292e12 | + | 7.88786e12i | −0.750914 | + | 2.31108i | ||||
\(191\) | −1.46763e12 | − | 4.51689e12i | −0.417765 | − | 1.28575i | −0.909754 | − | 0.415147i | \(-0.863730\pi\) |
0.491989 | − | 0.870601i | \(-0.336270\pi\) | |||||||
\(192\) | −5.48006e11 | + | 3.98149e11i | −0.151575 | + | 0.110126i | ||||
\(193\) | 5.88575e11 | − | 4.27625e11i | 0.158211 | − | 0.114947i | −0.505863 | − | 0.862614i | \(-0.668826\pi\) |
0.664074 | + | 0.747667i | \(0.268826\pi\) | |||||||
\(194\) | −3.04588e11 | − | 9.37427e11i | −0.0795800 | − | 0.244922i | ||||
\(195\) | 1.39813e12 | − | 4.30300e12i | 0.355105 | − | 1.09290i | ||||
\(196\) | −1.45875e12 | − | 1.05985e12i | −0.360225 | − | 0.261718i | ||||
\(197\) | −1.46188e12 | −0.351033 | −0.175516 | − | 0.984476i | \(-0.556160\pi\) | ||||
−0.175516 | + | 0.984476i | \(0.556160\pi\) | |||||||
\(198\) | −1.73190e12 | + | 2.82739e12i | −0.404449 | + | 0.660278i | ||||
\(199\) | −4.62275e12 | −1.05005 | −0.525023 | − | 0.851088i | \(-0.675943\pi\) | ||||
−0.525023 | + | 0.851088i | \(0.675943\pi\) | |||||||
\(200\) | 4.41674e12 | + | 3.20895e12i | 0.975971 | + | 0.709084i | ||||
\(201\) | −2.15457e11 | + | 6.63107e11i | −0.0463214 | + | 0.142562i | ||||
\(202\) | 1.92657e12 | + | 5.92937e12i | 0.403044 | + | 1.24044i | ||||
\(203\) | 1.02289e12 | − | 7.43170e11i | 0.208257 | − | 0.151307i | ||||
\(204\) | 8.20361e12 | − | 5.96027e12i | 1.62569 | − | 1.18114i | ||||
\(205\) | −2.45627e11 | − | 7.55962e11i | −0.0473838 | − | 0.145832i | ||||
\(206\) | 2.33398e12 | − | 7.18325e12i | 0.438356 | − | 1.34912i | ||||
\(207\) | −1.65557e12 | − | 1.20284e12i | −0.302768 | − | 0.219974i | ||||
\(208\) | 1.48894e13 | 2.65172 | ||||||||
\(209\) | −1.03419e13 | + | 4.28604e12i | −1.79390 | + | 0.743449i | ||||
\(210\) | 9.67646e12 | 1.63497 | ||||||||
\(211\) | 5.66219e12 | + | 4.11382e12i | 0.932033 | + | 0.677161i | 0.946490 | − | 0.322734i | \(-0.104602\pi\) |
−0.0144570 | + | 0.999895i | \(0.504602\pi\) | |||||||
\(212\) | −1.95529e12 | + | 6.01775e12i | −0.313591 | + | 0.965133i | ||||
\(213\) | −1.44080e12 | − | 4.43432e12i | −0.225173 | − | 0.693010i | ||||
\(214\) | 6.58031e12 | − | 4.78088e12i | 1.00224 | − | 0.728168i | ||||
\(215\) | 1.50487e12 | − | 1.09335e12i | 0.223402 | − | 0.162311i | ||||
\(216\) | −3.37392e12 | − | 1.03839e13i | −0.488246 | − | 1.50267i | ||||
\(217\) | −2.91969e12 | + | 8.98589e12i | −0.411916 | + | 1.26775i | ||||
\(218\) | −8.90696e12 | − | 6.47128e12i | −1.22523 | − | 0.890184i | ||||
\(219\) | 3.72803e12 | 0.500077 | ||||||||
\(220\) | −9.46154e11 | − | 1.19934e13i | −0.123776 | − | 1.56897i | ||||
\(221\) | −8.05369e12 | −1.02763 | ||||||||
\(222\) | −1.34381e13 | − | 9.76338e12i | −1.67262 | − | 1.21523i | ||||
\(223\) | 1.63283e12 | − | 5.02535e12i | 0.198274 | − | 0.610224i | −0.801649 | − | 0.597795i | \(-0.796044\pi\) |
0.999923 | − | 0.0124290i | \(-0.00395638\pi\) | |||||||
\(224\) | 3.25029e12 | + | 1.00034e13i | 0.385086 | + | 1.18517i | ||||
\(225\) | 1.56275e12 | − | 1.13541e12i | 0.180670 | − | 0.131265i | ||||
\(226\) | 1.25811e12 | − | 9.14071e11i | 0.141946 | − | 0.103130i | ||||
\(227\) | 2.94551e12 | + | 9.06536e12i | 0.324354 | + | 0.998258i | 0.971732 | + | 0.236089i | \(0.0758656\pi\) |
−0.647378 | + | 0.762169i | \(0.724134\pi\) | |||||||
\(228\) | −1.51861e13 | + | 4.67381e13i | −1.63232 | + | 5.02377i | ||||
\(229\) | 8.45143e12 | + | 6.14032e12i | 0.886819 | + | 0.644312i | 0.935047 | − | 0.354525i | \(-0.115357\pi\) |
−0.0482279 | + | 0.998836i | \(0.515357\pi\) | |||||||
\(230\) | 1.06868e13 | 1.09482 | ||||||||
\(231\) | 8.48445e12 | + | 9.93025e12i | 0.848707 | + | 0.993332i | ||||
\(232\) | −5.56913e12 | −0.544005 | ||||||||
\(233\) | −4.69646e12 | − | 3.41218e12i | −0.448036 | − | 0.325517i | 0.340784 | − | 0.940142i | \(-0.389308\pi\) |
−0.788820 | + | 0.614624i | \(0.789308\pi\) | |||||||
\(234\) | 3.57228e12 | − | 1.09943e13i | 0.332857 | − | 1.02443i | ||||
\(235\) | −2.63524e11 | − | 8.11043e11i | −0.0239854 | − | 0.0738194i | ||||
\(236\) | −1.84464e13 | + | 1.34021e13i | −1.64020 | + | 1.19167i | ||||
\(237\) | −9.96494e12 | + | 7.23995e12i | −0.865683 | + | 0.628956i | ||||
\(238\) | −5.32266e12 | − | 1.63815e13i | −0.451810 | − | 1.39053i | ||||
\(239\) | 6.05660e12 | − | 1.86403e13i | 0.502390 | − | 1.54620i | −0.302726 | − | 0.953078i | \(-0.597897\pi\) |
0.805115 | − | 0.593119i | \(-0.202103\pi\) | |||||||
\(240\) | −1.57143e13 | − | 1.14171e13i | −1.27389 | − | 0.925537i | ||||
\(241\) | 3.15351e11 | 0.0249862 | 0.0124931 | − | 0.999922i | \(-0.496023\pi\) | ||||
0.0124931 | + | 0.999922i | \(0.496023\pi\) | |||||||
\(242\) | 1.65202e13 | − | 1.65326e13i | 1.27948 | − | 1.28043i | ||||
\(243\) | −1.06141e13 | −0.803616 | ||||||||
\(244\) | −1.96597e13 | − | 1.42836e13i | −1.45524 | − | 1.05729i | ||||
\(245\) | 5.77317e11 | − | 1.77680e12i | 0.0417831 | − | 0.128595i | ||||
\(246\) | −2.09472e12 | − | 6.44690e12i | −0.148246 | − | 0.456255i | ||||
\(247\) | 3.15770e13 | − | 2.29420e13i | 2.18543 | − | 1.58781i | ||||
\(248\) | 3.36690e13 | − | 2.44619e13i | 2.27901 | − | 1.65580i | ||||
\(249\) | 7.81640e12 | + | 2.40564e13i | 0.517500 | + | 1.59270i | ||||
\(250\) | −9.08822e12 | + | 2.79707e13i | −0.588585 | + | 1.81148i | ||||
\(251\) | 1.82213e13 | + | 1.32385e13i | 1.15444 | + | 0.838753i | 0.989066 | − | 0.147477i | \(-0.0471151\pi\) |
0.165379 | + | 0.986230i | \(0.447115\pi\) | |||||||
\(252\) | 1.71781e13 | 1.06481 | ||||||||
\(253\) | 9.37029e12 | + | 1.09670e13i | 0.568316 | + | 0.665161i | ||||
\(254\) | −5.94931e13 | −3.53087 | ||||||||
\(255\) | 8.49989e12 | + | 6.17553e12i | 0.493676 | + | 0.358677i | ||||
\(256\) | −9.27440e12 | + | 2.85437e13i | −0.527188 | + | 1.62252i | ||||
\(257\) | −7.46666e12 | − | 2.29800e13i | −0.415427 | − | 1.27855i | −0.911869 | − | 0.410482i | \(-0.865361\pi\) |
0.496442 | − | 0.868070i | \(-0.334639\pi\) | |||||||
\(258\) | 1.28336e13 | − | 9.32419e12i | 0.698943 | − | 0.507812i | ||||
\(259\) | −1.58599e13 | + | 1.15229e13i | −0.845573 | + | 0.614344i | ||||
\(260\) | 1.29617e13 | + | 3.98921e13i | 0.676565 | + | 2.08225i | ||||
\(261\) | −6.08917e11 | + | 1.87405e12i | −0.0311197 | + | 0.0957766i | ||||
\(262\) | −9.66033e12 | − | 7.01864e12i | −0.483431 | − | 0.351233i | ||||
\(263\) | −9.22611e12 | −0.452128 | −0.226064 | − | 0.974112i | \(-0.572586\pi\) | ||||
−0.226064 | + | 0.974112i | \(0.572586\pi\) | |||||||
\(264\) | −4.52455e12 | − | 5.73528e13i | −0.217147 | − | 2.75253i | ||||
\(265\) | −6.55596e12 | −0.308165 | ||||||||
\(266\) | 6.75339e13 | + | 4.90662e13i | 3.10937 | + | 2.25909i | ||||
\(267\) | −9.34875e12 | + | 2.87725e13i | −0.421640 | + | 1.29767i | ||||
\(268\) | −1.99744e12 | − | 6.14750e12i | −0.0882538 | − | 0.271617i | ||||
\(269\) | 1.41849e13 | − | 1.03059e13i | 0.614029 | − | 0.446118i | −0.236802 | − | 0.971558i | \(-0.576099\pi\) |
0.850831 | + | 0.525440i | \(0.176099\pi\) | |||||||
\(270\) | 1.63213e13 | − | 1.18581e13i | 0.692237 | − | 0.502940i | ||||
\(271\) | −1.20242e13 | − | 3.70067e13i | −0.499719 | − | 1.53798i | −0.809471 | − | 0.587159i | \(-0.800246\pi\) |
0.309753 | − | 0.950817i | \(-0.399754\pi\) | |||||||
\(272\) | −1.06844e13 | + | 3.28831e13i | −0.435131 | + | 1.33920i | ||||
\(273\) | −3.68412e13 | − | 2.67667e13i | −1.47041 | − | 1.06832i | ||||
\(274\) | −1.72904e13 | −0.676357 | ||||||||
\(275\) | −1.25788e13 | + | 5.21306e12i | −0.482291 | + | 0.199877i | ||||
\(276\) | 6.33225e13 | 2.37990 | ||||||||
\(277\) | 7.36133e12 | + | 5.34832e12i | 0.271217 | + | 0.197051i | 0.715078 | − | 0.699045i | \(-0.246391\pi\) |
−0.443860 | + | 0.896096i | \(0.646391\pi\) | |||||||
\(278\) | 2.92754e13 | − | 9.01004e13i | 1.05744 | − | 3.25447i | ||||
\(279\) | −4.55034e12 | − | 1.40045e13i | −0.161146 | − | 0.495957i | ||||
\(280\) | −4.06960e13 | + | 2.95674e13i | −1.41313 | + | 1.02670i | ||||
\(281\) | 3.14844e13 | − | 2.28748e13i | 1.07204 | − | 0.778882i | 0.0957618 | − | 0.995404i | \(-0.469471\pi\) |
0.976278 | + | 0.216522i | \(0.0694713\pi\) | |||||||
\(282\) | −2.24735e12 | − | 6.91663e12i | −0.0750414 | − | 0.230954i | ||||
\(283\) | −1.71596e12 | + | 5.28119e12i | −0.0561930 | + | 0.172944i | −0.975214 | − | 0.221265i | \(-0.928981\pi\) |
0.919021 | + | 0.394209i | \(0.128981\pi\) | |||||||
\(284\) | 3.49698e13 | + | 2.54071e13i | 1.12316 | + | 0.816026i | ||||
\(285\) | −5.09182e13 | −1.60408 | ||||||||
\(286\) | −4.25637e13 | + | 6.94868e13i | −1.31530 | + | 2.14728i | ||||
\(287\) | −8.00028e12 | −0.242524 | ||||||||
\(288\) | −1.32619e13 | − | 9.63530e12i | −0.394408 | − | 0.286554i | ||||
\(289\) | −4.81140e12 | + | 1.48080e13i | −0.140389 | + | 0.432073i | ||||
\(290\) | −3.17991e12 | − | 9.78676e12i | −0.0910387 | − | 0.280188i | ||||
\(291\) | 4.89564e12 | − | 3.55689e12i | 0.137530 | − | 0.0999215i | ||||
\(292\) | −2.79610e13 | + | 2.03148e13i | −0.770809 | + | 0.560025i | ||||
\(293\) | 8.58622e12 | + | 2.64257e13i | 0.232290 | + | 0.714914i | 0.997469 | + | 0.0710974i | \(0.0226501\pi\) |
−0.765180 | + | 0.643817i | \(0.777350\pi\) | |||||||
\(294\) | 4.92341e12 | − | 1.51527e13i | 0.130724 | − | 0.402327i | ||||
\(295\) | −1.91126e13 | − | 1.38861e13i | −0.498080 | − | 0.361876i | ||||
\(296\) | 8.63494e13 | 2.20879 | ||||||||
\(297\) | 2.64799e13 | + | 6.35202e12i | 0.664899 | + | 0.159497i | ||||
\(298\) | 4.96484e13 | 1.22382 | ||||||||
\(299\) | −4.06877e13 | − | 2.95614e13i | −0.984628 | − | 0.715374i | ||||
\(300\) | −1.84707e13 | + | 5.68471e13i | −0.438851 | + | 1.35065i | ||||
\(301\) | −5.78542e12 | − | 1.78057e13i | −0.134964 | − | 0.415378i | ||||
\(302\) | −1.03773e14 | + | 7.53954e13i | −2.37709 | + | 1.72706i | ||||
\(303\) | −3.09657e13 | + | 2.24979e13i | −0.696540 | + | 0.506066i | ||||
\(304\) | −5.17806e13 | − | 1.59364e14i | −1.14383 | − | 3.52035i | ||||
\(305\) | 7.78055e12 | − | 2.39461e13i | 0.168796 | − | 0.519499i | ||||
\(306\) | 2.17175e13 | + | 1.57787e13i | 0.462746 | + | 0.336205i | ||||
\(307\) | −9.46912e12 | −0.198175 | −0.0990874 | − | 0.995079i | \(-0.531592\pi\) | ||||
−0.0990874 | + | 0.995079i | \(0.531592\pi\) | |||||||
\(308\) | −1.17747e14 | − | 2.82453e13i | −2.42059 | − | 0.580653i | ||||
\(309\) | 4.63698e13 | 0.936404 | ||||||||
\(310\) | 6.22122e13 | + | 4.51998e13i | 1.23420 | + | 0.896700i | ||||
\(311\) | −4.13054e12 | + | 1.27125e13i | −0.0805053 | + | 0.247770i | −0.983206 | − | 0.182499i | \(-0.941581\pi\) |
0.902701 | + | 0.430269i | \(0.141581\pi\) | |||||||
\(312\) | 6.19836e13 | + | 1.90766e14i | 1.18693 | + | 3.65300i | ||||
\(313\) | 6.20850e13 | − | 4.51074e13i | 1.16814 | − | 0.848700i | 0.177351 | − | 0.984148i | \(-0.443247\pi\) |
0.990784 | + | 0.135448i | \(0.0432473\pi\) | |||||||
\(314\) | 8.79115e12 | − | 6.38714e12i | 0.162530 | − | 0.118085i | ||||
\(315\) | 5.50004e12 | + | 1.69274e13i | 0.0999212 | + | 0.307526i | ||||
\(316\) | 3.52870e13 | − | 1.08602e14i | 0.629993 | − | 1.93892i | ||||
\(317\) | −3.26550e13 | − | 2.37252e13i | −0.572959 | − | 0.416279i | 0.263220 | − | 0.964736i | \(-0.415216\pi\) |
−0.836179 | + | 0.548457i | \(0.815216\pi\) | |||||||
\(318\) | −5.59097e13 | −0.964135 | ||||||||
\(319\) | 7.25525e12 | − | 1.18445e13i | 0.122971 | − | 0.200755i | ||||
\(320\) | 6.50655e12 | 0.108399 | ||||||||
\(321\) | 4.03987e13 | + | 2.93513e13i | 0.661591 | + | 0.480674i | ||||
\(322\) | 3.32384e13 | − | 1.02297e14i | 0.535097 | − | 1.64686i | ||||
\(323\) | 2.80082e13 | + | 8.62004e13i | 0.443273 | + | 1.36425i | ||||
\(324\) | 1.47343e14 | − | 1.07051e14i | 2.29261 | − | 1.66568i | ||||
\(325\) | 3.84067e13 | − | 2.79041e13i | 0.587555 | − | 0.426884i | ||||
\(326\) | 3.98855e13 | + | 1.22755e14i | 0.599954 | + | 1.84647i | ||||
\(327\) | 2.08869e13 | − | 6.42834e13i | 0.308931 | − | 0.950793i | ||||
\(328\) | 2.85089e13 | + | 2.07129e13i | 0.414643 | + | 0.301256i | ||||
\(329\) | −8.58319e12 | −0.122764 | ||||||||
\(330\) | 9.82039e13 | − | 4.06989e13i | 1.38134 | − | 0.572474i | ||||
\(331\) | −4.03136e13 | −0.557697 | −0.278848 | − | 0.960335i | \(-0.589953\pi\) | ||||
−0.278848 | + | 0.960335i | \(0.589953\pi\) | |||||||
\(332\) | −1.89713e14 | − | 1.37835e14i | −2.58130 | − | 1.87542i | ||||
\(333\) | 9.44128e12 | − | 2.90573e13i | 0.126354 | − | 0.388876i | ||||
\(334\) | 5.47942e12 | + | 1.68639e13i | 0.0721322 | + | 0.222000i | ||||
\(335\) | 5.41824e12 | − | 3.93658e12i | 0.0701636 | − | 0.0509768i | ||||
\(336\) | −1.58163e14 | + | 1.14912e14i | −2.01484 | + | 1.46386i | ||||
\(337\) | 2.63934e13 | + | 8.12306e13i | 0.330774 | + | 1.01802i | 0.968766 | + | 0.247975i | \(0.0797650\pi\) |
−0.637993 | + | 0.770043i | \(0.720235\pi\) | |||||||
\(338\) | 4.24270e13 | − | 1.30577e14i | 0.523119 | − | 1.60999i | ||||
\(339\) | 7.72395e12 | + | 5.61178e12i | 0.0937003 | + | 0.0680773i | ||||
\(340\) | −9.74026e13 | −1.16262 | ||||||||
\(341\) | 8.16318e12 | + | 1.03476e14i | 0.0958760 | + | 1.21531i | ||||
\(342\) | −1.30098e14 | −1.50358 | ||||||||
\(343\) | 6.25670e13 | + | 4.54576e13i | 0.711587 | + | 0.516998i | ||||
\(344\) | −2.54831e13 | + | 7.84290e13i | −0.285221 | + | 0.877820i | ||||
\(345\) | 2.02744e13 | + | 6.23983e13i | 0.223328 | + | 0.687334i | ||||
\(346\) | −8.73879e13 | + | 6.34910e13i | −0.947398 | + | 0.688325i | ||||
\(347\) | −5.08697e13 | + | 3.69590e13i | −0.542809 | + | 0.394374i | −0.825127 | − | 0.564947i | \(-0.808897\pi\) |
0.282318 | + | 0.959321i | \(0.408897\pi\) | |||||||
\(348\) | −1.88420e13 | − | 5.79897e13i | −0.197898 | − | 0.609067i | ||||
\(349\) | −1.07304e13 | + | 3.30248e13i | −0.110937 | + | 0.341429i | −0.991078 | − | 0.133284i | \(-0.957448\pi\) |
0.880141 | + | 0.474712i | \(0.157448\pi\) | |||||||
\(350\) | 8.21407e13 | + | 5.96787e13i | 0.835958 | + | 0.607359i | ||||
\(351\) | −9.49419e13 | −0.951193 | ||||||||
\(352\) | 7.50602e13 | + | 8.78509e13i | 0.740330 | + | 0.866486i | ||||
\(353\) | 7.85856e13 | 0.763101 | 0.381551 | − | 0.924348i | \(-0.375390\pi\) | ||||
0.381551 | + | 0.924348i | \(0.375390\pi\) | |||||||
\(354\) | −1.62994e14 | − | 1.18422e14i | −1.55831 | − | 1.13218i | ||||
\(355\) | −1.38397e13 | + | 4.25942e13i | −0.130278 | + | 0.400954i | ||||
\(356\) | −8.66700e13 | − | 2.66743e14i | −0.803330 | − | 2.47239i | ||||
\(357\) | 8.55509e13 | − | 6.21564e13i | 0.780817 | − | 0.567297i | ||||
\(358\) | −1.73097e14 | + | 1.25762e14i | −1.55572 | + | 1.13030i | ||||
\(359\) | 2.36304e13 | + | 7.27268e13i | 0.209147 | + | 0.643688i | 0.999518 | + | 0.0310589i | \(0.00988796\pi\) |
−0.790371 | + | 0.612629i | \(0.790112\pi\) | |||||||
\(360\) | 2.42261e13 | − | 7.45603e13i | 0.211164 | − | 0.649896i | ||||
\(361\) | −2.61125e14 | − | 1.89719e14i | −2.24161 | − | 1.62862i | ||||
\(362\) | 1.60506e14 | 1.35705 | ||||||||
\(363\) | 1.27873e14 | + | 6.50942e13i | 1.06486 | + | 0.542070i | ||||
\(364\) | 4.22174e14 | 3.46285 | ||||||||
\(365\) | −2.89708e13 | − | 2.10485e13i | −0.234072 | − | 0.170063i | ||||
\(366\) | 6.63531e13 | − | 2.04214e14i | 0.528099 | − | 1.62532i | ||||
\(367\) | −2.75508e13 | − | 8.47927e13i | −0.216009 | − | 0.664806i | −0.999080 | − | 0.0428750i | \(-0.986348\pi\) |
0.783072 | − | 0.621931i | \(-0.213652\pi\) | |||||||
\(368\) | −1.74677e14 | + | 1.26910e14i | −1.34919 | + | 0.980242i | ||||
\(369\) | 1.00872e13 | − | 7.32875e12i | 0.0767581 | − | 0.0557680i | ||||
\(370\) | 4.93046e13 | + | 1.51744e14i | 0.369639 | + | 1.13763i | ||||
\(371\) | −2.03906e13 | + | 6.27558e13i | −0.150617 | + | 0.463551i | ||||
\(372\) | 3.68627e14 | + | 2.67823e14i | 2.68288 | + | 1.94923i | ||||
\(373\) | 1.10375e14 | 0.791540 | 0.395770 | − | 0.918350i | \(-0.370478\pi\) | ||||
0.395770 | + | 0.918350i | \(0.370478\pi\) | |||||||
\(374\) | −1.22918e14 | − | 1.43864e14i | −0.868605 | − | 1.01662i | ||||
\(375\) | −1.80558e14 | −1.25732 | ||||||||
\(376\) | 3.05861e13 | + | 2.22221e13i | 0.209890 | + | 0.152494i | ||||
\(377\) | −1.49649e13 | + | 4.60573e13i | −0.101204 | + | 0.311474i | ||||
\(378\) | −6.27468e13 | − | 1.93115e14i | −0.418202 | − | 1.28709i | ||||
\(379\) | −1.03173e14 | + | 7.49595e13i | −0.677720 | + | 0.492392i | −0.872600 | − | 0.488435i | \(-0.837568\pi\) |
0.194881 | + | 0.980827i | \(0.437568\pi\) | |||||||
\(380\) | 3.81897e14 | − | 2.77464e14i | 2.47250 | − | 1.79638i | ||||
\(381\) | −1.12868e14 | − | 3.47371e14i | −0.720248 | − | 2.21670i | ||||
\(382\) | −1.20224e14 | + | 3.70010e14i | −0.756208 | + | 2.32737i | ||||
\(383\) | 1.71016e14 | + | 1.24250e14i | 1.06034 | + | 0.770379i | 0.974150 | − | 0.225900i | \(-0.0725323\pi\) |
0.0861852 | + | 0.996279i | \(0.472532\pi\) | |||||||
\(384\) | −1.67322e14 | −1.02266 | ||||||||
\(385\) | −9.86692e12 | − | 1.25072e14i | −0.0594494 | − | 0.753574i | ||||
\(386\) | −5.95962e13 | −0.353988 | ||||||||
\(387\) | 2.36057e13 | + | 1.71505e13i | 0.138231 | + | 0.100431i | ||||
\(388\) | −1.73360e13 | + | 5.33547e13i | −0.100086 | + | 0.308034i | ||||
\(389\) | −2.44254e13 | − | 7.51736e13i | −0.139033 | − | 0.427900i | 0.857162 | − | 0.515046i | \(-0.172225\pi\) |
−0.996196 | + | 0.0871460i | \(0.972225\pi\) | |||||||
\(390\) | −2.99845e14 | + | 2.17850e14i | −1.68284 | + | 1.22265i | ||||
\(391\) | 9.44830e13 | − | 6.86459e13i | 0.522856 | − | 0.379877i | ||||
\(392\) | 2.55943e13 | + | 7.87712e13i | 0.139659 | + | 0.429827i | ||||
\(393\) | 2.26536e13 | − | 6.97206e13i | 0.121893 | − | 0.375147i | ||||
\(394\) | 9.68822e13 | + | 7.03891e13i | 0.514061 | + | 0.373487i | ||||
\(395\) | 1.18315e14 | 0.619094 | ||||||||
\(396\) | 1.74336e14 | − | 7.22506e13i | 0.899630 | − | 0.372836i | ||||
\(397\) | 1.28032e13 | 0.0651582 | 0.0325791 | − | 0.999469i | \(-0.489628\pi\) | ||||
0.0325791 | + | 0.999469i | \(0.489628\pi\) | |||||||
\(398\) | 3.06360e14 | + | 2.22584e14i | 1.53771 | + | 1.11721i | ||||
\(399\) | −1.58368e14 | + | 4.87406e14i | −0.784000 | + | 2.41290i | ||||
\(400\) | −6.29801e13 | − | 1.93833e14i | −0.307520 | − | 0.946450i | ||||
\(401\) | −4.35623e13 | + | 3.16499e13i | −0.209806 | + | 0.152433i | −0.687726 | − | 0.725971i | \(-0.741391\pi\) |
0.477920 | + | 0.878403i | \(0.341391\pi\) | |||||||
\(402\) | 4.62072e13 | − | 3.35715e13i | 0.219516 | − | 0.159488i | ||||
\(403\) | −1.11830e14 | − | 3.44179e14i | −0.524061 | − | 1.61290i | ||||
\(404\) | 1.09653e14 | − | 3.37477e14i | 0.506901 | − | 1.56008i | ||||
\(405\) | 1.52664e14 | + | 1.10917e14i | 0.696200 | + | 0.505819i | ||||
\(406\) | −1.03572e14 | −0.465962 | ||||||||
\(407\) | −1.12493e14 | + | 1.83649e14i | −0.499293 | + | 0.815114i | ||||
\(408\) | −4.65784e14 | −2.03964 | ||||||||
\(409\) | 5.17506e12 | + | 3.75990e12i | 0.0223582 | + | 0.0162442i | 0.598908 | − | 0.800818i | \(-0.295601\pi\) |
−0.576550 | + | 0.817062i | \(0.695601\pi\) | |||||||
\(410\) | −2.01210e13 | + | 6.19262e13i | −0.0857707 | + | 0.263975i | ||||
\(411\) | −3.28025e13 | − | 1.00956e14i | −0.137968 | − | 0.424620i | ||||
\(412\) | −3.47783e14 | + | 2.52679e14i | −1.44336 | + | 1.04866i | ||||
\(413\) | −1.92367e14 | + | 1.39763e14i | −0.787782 | + | 0.572357i | ||||
\(414\) | 5.18020e13 | + | 1.59430e14i | 0.209336 | + | 0.644271i | ||||
\(415\) | 7.50810e13 | − | 2.31076e14i | 0.299410 | − | 0.921488i | ||||
\(416\) | −3.25927e14 | − | 2.36800e14i | −1.28265 | − | 0.931898i | ||||
\(417\) | 5.81622e14 | 2.25888 | ||||||||
\(418\) | 8.91755e14 | + | 2.13915e14i | 3.41803 | + | 0.819920i | ||||
\(419\) | 2.10513e14 | 0.796345 | 0.398173 | − | 0.917311i | \(-0.369644\pi\) | ||||
0.398173 | + | 0.917311i | \(0.369644\pi\) | |||||||
\(420\) | −4.45564e14 | − | 3.23721e14i | −1.66356 | − | 1.20865i | ||||
\(421\) | 7.90768e13 | − | 2.43373e14i | 0.291406 | − | 0.896854i | −0.693000 | − | 0.720938i | \(-0.743711\pi\) |
0.984405 | − | 0.175916i | \(-0.0562887\pi\) | |||||||
\(422\) | −1.77167e14 | − | 5.45265e14i | −0.644414 | − | 1.98330i | ||||
\(423\) | 1.08221e13 | − | 7.86274e12i | 0.0388545 | − | 0.0282294i | ||||
\(424\) | 2.35138e14 | − | 1.70838e14i | 0.833318 | − | 0.605441i | ||||
\(425\) | 3.40661e13 | + | 1.04845e14i | 0.119174 | + | 0.366781i | ||||
\(426\) | −1.18026e14 | + | 3.63247e14i | −0.407591 | + | 1.25444i | ||||
\(427\) | −2.05020e14 | − | 1.48956e14i | −0.698946 | − | 0.507814i | ||||
\(428\) | −4.62940e14 | −1.55806 | ||||||||
\(429\) | −4.86472e14 | − | 1.16695e14i | −1.61638 | − | 0.387738i | ||||
\(430\) | −1.52376e14 | −0.499849 | ||||||||
\(431\) | −1.67769e14 | − | 1.21891e14i | −0.543358 | − | 0.394773i | 0.281973 | − | 0.959422i | \(-0.409011\pi\) |
−0.825331 | + | 0.564650i | \(0.809011\pi\) | |||||||
\(432\) | −1.25954e14 | + | 3.87646e14i | −0.402765 | + | 1.23958i | ||||
\(433\) | 7.76046e13 | + | 2.38842e14i | 0.245021 | + | 0.754098i | 0.995633 | + | 0.0933543i | \(0.0297589\pi\) |
−0.750612 | + | 0.660744i | \(0.770241\pi\) | |||||||
\(434\) | 6.26162e14 | − | 4.54933e14i | 1.95206 | − | 1.41825i | ||||
\(435\) | 5.11106e13 | − | 3.71340e13i | 0.157333 | − | 0.114309i | ||||
\(436\) | 1.93638e14 | + | 5.95955e14i | 0.588592 | + | 1.81150i | ||||
\(437\) | −1.74903e14 | + | 5.38295e14i | −0.524987 | + | 1.61574i | ||||
\(438\) | −2.47065e14 | − | 1.79503e14i | −0.732325 | − | 0.532065i | ||||
\(439\) | −8.56969e13 | −0.250848 | −0.125424 | − | 0.992103i | \(-0.540029\pi\) | ||||
−0.125424 | + | 0.992103i | \(0.540029\pi\) | |||||||
\(440\) | −2.88654e14 | + | 4.71238e14i | −0.834426 | + | 1.36223i | ||||
\(441\) | 2.93056e13 | 0.0836638 | ||||||||
\(442\) | 5.33736e14 | + | 3.87782e14i | 1.50489 | + | 1.09337i | ||||
\(443\) | 2.05069e14 | − | 6.31138e14i | 0.571058 | − | 1.75754i | −0.0781683 | − | 0.996940i | \(-0.524907\pi\) |
0.649226 | − | 0.760595i | \(-0.275093\pi\) | |||||||
\(444\) | 2.92146e14 | + | 8.99132e14i | 0.803514 | + | 2.47296i | ||||
\(445\) | 2.35100e14 | − | 1.70810e14i | 0.638664 | − | 0.464016i | ||||
\(446\) | −3.50180e14 | + | 2.54421e14i | −0.939615 | + | 0.682670i | ||||
\(447\) | 9.41908e13 | + | 2.89889e14i | 0.249642 | + | 0.768318i | ||||
\(448\) | 2.02369e13 | − | 6.22828e13i | 0.0529804 | − | 0.163057i | ||||
\(449\) | 2.73147e14 | + | 1.98453e14i | 0.706384 | + | 0.513218i | 0.882005 | − | 0.471240i | \(-0.156193\pi\) |
−0.175621 | + | 0.984458i | \(0.556193\pi\) | |||||||
\(450\) | −1.58237e14 | −0.404239 | ||||||||
\(451\) | −8.11927e13 | + | 3.36489e13i | −0.204902 | + | 0.0849180i | ||||
\(452\) | −8.85109e13 | −0.220666 | ||||||||
\(453\) | −6.37095e14 | − | 4.62877e14i | −1.56915 | − | 1.14005i | ||||
\(454\) | 2.41288e14 | − | 7.42607e14i | 0.587122 | − | 1.80697i | ||||
\(455\) | 1.35171e14 | + | 4.16012e14i | 0.324952 | + | 1.00010i | ||||
\(456\) | 1.82625e15 | − | 1.32685e15i | 4.33764 | − | 3.15148i | ||||
\(457\) | −7.09337e12 | + | 5.15363e12i | −0.0166461 | + | 0.0120941i | −0.596077 | − | 0.802927i | \(-0.703275\pi\) |
0.579431 | + | 0.815021i | \(0.303275\pi\) | |||||||
\(458\) | −2.64441e14 | − | 8.13866e14i | −0.613153 | − | 1.88709i | ||||
\(459\) | 6.81287e13 | − | 2.09679e14i | 0.156085 | − | 0.480379i | ||||
\(460\) | −4.92084e14 | − | 3.57520e14i | −1.11396 | − | 0.809342i | ||||
\(461\) | 4.63139e14 | 1.03599 | 0.517996 | − | 0.855383i | \(-0.326678\pi\) | ||||
0.517996 | + | 0.855383i | \(0.326678\pi\) | |||||||
\(462\) | −8.41458e13 | − | 1.06662e15i | −0.185995 | − | 2.35765i | ||||
\(463\) | −1.34901e14 | −0.294659 | −0.147329 | − | 0.989087i | \(-0.547068\pi\) | ||||
−0.147329 | + | 0.989087i | \(0.547068\pi\) | |||||||
\(464\) | 1.68198e14 | + | 1.22203e14i | 0.363055 | + | 0.263775i | ||||
\(465\) | −1.45888e14 | + | 4.48998e14i | −0.311193 | + | 0.957752i | ||||
\(466\) | 1.46950e14 | + | 4.52266e14i | 0.309775 | + | 0.953391i | ||||
\(467\) | −4.50667e14 | + | 3.27429e14i | −0.938887 | + | 0.682141i | −0.948152 | − | 0.317816i | \(-0.897051\pi\) |
0.00926574 | + | 0.999957i | \(0.497051\pi\) | |||||||
\(468\) | −5.32299e14 | + | 3.86738e14i | −1.09598 | + | 0.796278i | ||||
\(469\) | −2.08302e13 | − | 6.41089e13i | −0.0423881 | − | 0.130457i | ||||
\(470\) | −2.15871e13 | + | 6.64382e13i | −0.0434166 | + | 0.133623i | ||||
\(471\) | 5.39717e13 | + | 3.92127e13i | 0.107288 | + | 0.0779493i | ||||
\(472\) | 1.04735e15 | 2.05783 | ||||||||
\(473\) | −1.33605e14 | − | 1.56372e14i | −0.259470 | − | 0.303685i | ||||
\(474\) | 1.00900e15 | 1.93692 | ||||||||
\(475\) | −4.32230e14 | − | 3.14034e14i | −0.820163 | − | 0.595883i | ||||
\(476\) | −3.02945e14 | + | 9.32370e14i | −0.568232 | + | 1.74884i | ||||
\(477\) | −3.17787e13 | − | 9.78048e13i | −0.0589231 | − | 0.181347i | ||||
\(478\) | −1.29891e15 | + | 9.43713e14i | −2.38081 | + | 1.72976i | ||||
\(479\) | 2.61457e13 | − | 1.89960e13i | 0.0473756 | − | 0.0344204i | −0.563845 | − | 0.825880i | \(-0.690679\pi\) |
0.611221 | + | 0.791460i | \(0.290679\pi\) | |||||||
\(480\) | 1.62407e14 | + | 4.99839e14i | 0.290924 | + | 0.895371i | ||||
\(481\) | 2.32032e14 | − | 7.14120e14i | 0.410912 | − | 1.26466i | ||||
\(482\) | −2.08990e13 | − | 1.51840e13i | −0.0365905 | − | 0.0265845i | ||||
\(483\) | 6.60356e14 | 1.14306 | ||||||||
\(484\) | −1.31378e15 | + | 2.08587e14i | −2.24840 | + | 0.356974i | ||||
\(485\) | −5.81266e13 | −0.0983547 | ||||||||
\(486\) | 7.03420e14 | + | 5.11065e14i | 1.17683 | + | 0.855020i | ||||
\(487\) | 3.34523e13 | − | 1.02956e14i | 0.0553371 | − | 0.170310i | −0.919568 | − | 0.392931i | \(-0.871461\pi\) |
0.974905 | + | 0.222621i | \(0.0714612\pi\) | |||||||
\(488\) | 3.44936e14 | + | 1.06161e15i | 0.564196 | + | 1.73642i | ||||
\(489\) | −6.41077e14 | + | 4.65770e14i | −1.03684 | + | 0.753308i | ||||
\(490\) | −1.23812e14 | + | 8.99550e13i | −0.198009 | + | 0.143862i | ||||
\(491\) | −1.99924e14 | − | 6.15303e14i | −0.316167 | − | 0.973063i | −0.975271 | − | 0.221011i | \(-0.929064\pi\) |
0.659104 | − | 0.752052i | \(-0.270936\pi\) | |||||||
\(492\) | −1.19224e14 | + | 3.66933e14i | −0.186447 | + | 0.573824i | ||||
\(493\) | −9.09788e13 | − | 6.61000e13i | −0.140696 | − | 0.102222i | ||||
\(494\) | −3.19733e15 | −4.88977 | ||||||||
\(495\) | 1.27015e14 | + | 1.48659e14i | 0.192099 | + | 0.224834i | ||||
\(496\) | −1.55364e15 | −2.32381 | ||||||||
\(497\) | 3.64681e14 | + | 2.64956e14i | 0.539452 | + | 0.391935i | ||||
\(498\) | 6.40297e14 | − | 1.97063e15i | 0.936742 | − | 2.88299i | ||||
\(499\) | 3.49515e14 | + | 1.07570e15i | 0.505723 | + | 1.55646i | 0.799551 | + | 0.600598i | \(0.205071\pi\) |
−0.293827 | + | 0.955858i | \(0.594929\pi\) | |||||||
\(500\) | 1.35422e15 | − | 9.83900e14i | 1.93800 | − | 1.40804i | ||||
\(501\) | −8.80704e13 | + | 6.39869e13i | −0.124659 | + | 0.0905699i | ||||
\(502\) | −5.70135e14 | − | 1.75470e15i | −0.798192 | − | 2.45658i | ||||
\(503\) | 1.96952e14 | − | 6.06156e14i | 0.272732 | − | 0.839383i | −0.717078 | − | 0.696993i | \(-0.754521\pi\) |
0.989811 | − | 0.142391i | \(-0.0454790\pi\) | |||||||
\(504\) | −6.38366e14 | − | 4.63800e14i | −0.874384 | − | 0.635277i | ||||
\(505\) | 3.67660e14 | 0.498131 | ||||||||
\(506\) | −9.29313e13 | − | 1.17799e15i | −0.124547 | − | 1.57875i | ||||
\(507\) | 8.42908e14 | 1.11747 | ||||||||
\(508\) | 2.73943e15 | + | 1.99031e15i | 3.59261 | + | 2.61018i | ||||
\(509\) | −4.53604e14 | + | 1.39605e15i | −0.588476 | + | 1.81114i | −0.00363946 | + | 0.999993i | \(0.501158\pi\) |
−0.584837 | + | 0.811151i | \(0.698842\pi\) | |||||||
\(510\) | −2.65957e14 | − | 8.18533e14i | −0.341331 | − | 1.05051i | ||||
\(511\) | −2.91589e14 | + | 2.11852e14i | −0.370217 | + | 0.268979i | ||||
\(512\) | 1.43776e15 | − | 1.04459e15i | 1.80593 | − | 1.31208i | ||||
\(513\) | 3.30178e14 | + | 1.01618e15i | 0.410301 | + | 1.26278i | ||||
\(514\) | −6.11647e14 | + | 1.88246e15i | −0.751975 | + | 2.31434i | ||||
\(515\) | −3.60343e14 | − | 2.61804e14i | −0.438305 | − | 0.318447i | ||||
\(516\) | −9.02876e14 | −1.08656 | ||||||||
\(517\) | −8.71086e13 | + | 3.61006e13i | −0.103720 | + | 0.0429850i | ||||
\(518\) | 1.60589e15 | 1.89192 | ||||||||
\(519\) | −5.36502e14 | − | 3.89792e14i | −0.625390 | − | 0.454373i | ||||
\(520\) | 5.95388e14 | − | 1.83241e15i | 0.686723 | − | 2.11352i | ||||
\(521\) | 2.90639e14 | + | 8.94495e14i | 0.331701 | + | 1.02087i | 0.968325 | + | 0.249695i | \(0.0803304\pi\) |
−0.636624 | + | 0.771174i | \(0.719670\pi\) | |||||||
\(522\) | 1.30589e14 | − | 9.48788e13i | 0.147476 | − | 0.107147i | ||||
\(523\) | 7.61628e14 | − | 5.53355e14i | 0.851106 | − | 0.618365i | −0.0743449 | − | 0.997233i | \(-0.523687\pi\) |
0.925451 | + | 0.378868i | \(0.123687\pi\) | |||||||
\(524\) | 2.10016e14 | + | 6.46362e14i | 0.232236 | + | 0.714750i | ||||
\(525\) | −1.92621e14 | + | 5.92827e14i | −0.210779 | + | 0.648711i | ||||
\(526\) | 6.11435e14 | + | 4.44234e14i | 0.662108 | + | 0.481050i | ||||
\(527\) | 8.40365e14 | 0.900553 | ||||||||
\(528\) | −1.12184e15 | + | 1.83145e15i | −1.18972 | + | 1.94226i | ||||
\(529\) | −2.23508e14 | −0.234578 | ||||||||
\(530\) | 4.34478e14 | + | 3.15667e14i | 0.451285 | + | 0.327878i | ||||
\(531\) | 1.14515e14 | − | 3.52441e14i | 0.117718 | − | 0.362299i | ||||
\(532\) | −1.46819e15 | − | 4.51862e15i | −1.49372 | − | 4.59719i | ||||
\(533\) | 2.47905e14 | − | 1.80114e14i | 0.249624 | − | 0.181362i | ||||
\(534\) | 2.00495e15 | − | 1.45668e15i | 1.99814 | − | 1.45174i | ||||
\(535\) | −1.48223e14 | − | 4.56183e14i | −0.146207 | − | 0.449980i | ||||
\(536\) | −9.17512e13 | + | 2.82381e14i | −0.0895789 | + | 0.275695i | ||||
\(537\) | −1.06270e15 | − | 7.72093e14i | −1.02695 | − | 0.746124i | ||||
\(538\) | −1.43629e15 | −1.37385 | ||||||||
\(539\) | −2.00875e14 | − | 4.81860e13i | −0.190190 | − | 0.0456229i | ||||
\(540\) | −1.14824e15 | −1.07614 | ||||||||
\(541\) | 6.84134e14 | + | 4.97052e14i | 0.634682 | + | 0.461123i | 0.858019 | − | 0.513618i | \(-0.171695\pi\) |
−0.223337 | + | 0.974741i | \(0.571695\pi\) | |||||||
\(542\) | −9.84989e14 | + | 3.03148e15i | −0.904555 | + | 2.78393i | ||||
\(543\) | 3.04505e14 | + | 9.37171e14i | 0.276819 | + | 0.851961i | ||||
\(544\) | 7.56852e14 | − | 5.49885e14i | 0.681109 | − | 0.494855i | ||||
\(545\) | −5.25259e14 | + | 3.81623e14i | −0.467942 | + | 0.339980i | ||||
\(546\) | 1.15275e15 | + | 3.54778e15i | 1.01666 | + | 3.12894i | ||||
\(547\) | 2.20943e14 | − | 6.79993e14i | 0.192908 | − | 0.593710i | −0.807087 | − | 0.590433i | \(-0.798957\pi\) |
0.999995 | − | 0.00327677i | \(-0.00104303\pi\) | |||||||
\(548\) | 7.96155e14 | + | 5.78440e14i | 0.688184 | + | 0.499995i | ||||
\(549\) | 3.94953e14 | 0.337985 | ||||||||
\(550\) | 1.08463e15 | + | 2.60182e14i | 0.918941 | + | 0.220436i | ||||
\(551\) | 5.45005e14 | 0.457158 | ||||||||
\(552\) | −2.35317e15 | − | 1.70968e15i | −1.95429 | − | 1.41987i | ||||
\(553\) | 3.67988e14 | − | 1.13255e15i | 0.302584 | − | 0.931258i | ||||
\(554\) | −2.30333e14 | − | 7.08891e14i | −0.187522 | − | 0.577133i | ||||
\(555\) | −7.92470e14 | + | 5.75763e14i | −0.638810 | + | 0.464123i | ||||
\(556\) | −4.36228e15 | + | 3.16938e15i | −3.48179 | + | 2.52967i | ||||
\(557\) | −6.95819e14 | − | 2.14151e15i | −0.549911 | − | 1.69245i | −0.709017 | − | 0.705192i | \(-0.750861\pi\) |
0.159105 | − | 0.987262i | \(-0.449139\pi\) | |||||||
\(558\) | −3.72750e14 | + | 1.14721e15i | −0.291696 | + | 0.897747i | ||||
\(559\) | 5.80141e14 | + | 4.21497e14i | 0.449540 | + | 0.326610i | ||||
\(560\) | 1.87790e15 | 1.44091 | ||||||||
\(561\) | 6.06806e14 | − | 9.90633e14i | 0.461056 | − | 0.752691i | ||||
\(562\) | −3.18796e15 | −2.39863 | ||||||||
\(563\) | −1.65510e15 | − | 1.20250e15i | −1.23318 | − | 0.895960i | −0.236059 | − | 0.971739i | \(-0.575856\pi\) |
−0.997125 | + | 0.0757787i | \(0.975856\pi\) | |||||||
\(564\) | −1.27911e14 | + | 3.93668e14i | −0.0943781 | + | 0.290466i | ||||
\(565\) | −2.83392e13 | − | 8.72190e13i | −0.0207072 | − | 0.0637301i | ||||
\(566\) | 3.68008e14 | − | 2.67374e14i | 0.266297 | − | 0.193476i | ||||
\(567\) | 1.53655e15 | − | 1.11637e15i | 1.10114 | − | 0.800022i | ||||
\(568\) | −6.13558e14 | − | 1.88834e15i | −0.435451 | − | 1.34018i | ||||
\(569\) | 1.25278e14 | − | 3.85566e14i | 0.0880557 | − | 0.271007i | −0.897326 | − | 0.441368i | \(-0.854493\pi\) |
0.985382 | + | 0.170361i | \(0.0544933\pi\) | |||||||
\(570\) | 3.37447e15 | + | 2.45169e15i | 2.34906 | + | 1.70669i | ||||
\(571\) | 2.30651e15 | 1.59022 | 0.795109 | − | 0.606466i | \(-0.207414\pi\) | ||||
0.795109 | + | 0.606466i | \(0.207414\pi\) | |||||||
\(572\) | 4.28454e15 | − | 1.77565e15i | 2.92567 | − | 1.21249i | ||||
\(573\) | −2.38852e15 | −1.61539 | ||||||||
\(574\) | 5.30197e14 | + | 3.85210e14i | 0.355158 | + | 0.258037i | ||||
\(575\) | −2.12732e14 | + | 6.54722e14i | −0.141143 | + | 0.434394i | ||||
\(576\) | 3.15392e13 | + | 9.70677e13i | 0.0207266 | + | 0.0637898i | ||||
\(577\) | −1.08128e15 | + | 7.85597e14i | −0.703837 | + | 0.511367i | −0.881180 | − | 0.472782i | \(-0.843250\pi\) |
0.177343 | + | 0.984149i | \(0.443250\pi\) | |||||||
\(578\) | 1.03186e15 | − | 7.49691e14i | 0.665301 | − | 0.483369i | ||||
\(579\) | −1.13063e14 | − | 3.47973e14i | −0.0722086 | − | 0.222235i | ||||
\(580\) | −1.80988e14 | + | 5.57025e14i | −0.114498 | + | 0.352387i | ||||
\(581\) | −1.97841e15 | − | 1.43740e15i | −1.23979 | − | 0.900760i | ||||
\(582\) | −4.95708e14 | −0.307716 | ||||||||
\(583\) | 5.70101e13 | + | 7.22654e14i | 0.0350570 | + | 0.444379i | ||||
\(584\) | 1.58757e15 | 0.967077 | ||||||||
\(585\) | −5.51524e14 | − | 4.00705e14i | −0.332818 | − | 0.241806i | ||||
\(586\) | 7.03358e14 | − | 2.16471e15i | 0.420474 | − | 1.29409i | ||||
\(587\) | −1.57396e14 | − | 4.84414e14i | −0.0932145 | − | 0.286885i | 0.893570 | − | 0.448924i | \(-0.148193\pi\) |
−0.986784 | + | 0.162040i | \(0.948193\pi\) | |||||||
\(588\) | −7.33629e14 | + | 5.33013e14i | −0.430429 | + | 0.312725i | ||||
\(589\) | −3.29491e15 | + | 2.39389e15i | −1.91518 | + | 1.39146i | ||||
\(590\) | 5.98024e14 | + | 1.84053e15i | 0.344376 | + | 1.05988i | ||||
\(591\) | −2.27190e14 | + | 6.99219e14i | −0.129616 | + | 0.398917i | ||||
\(592\) | −2.60792e15 | − | 1.89476e15i | −1.47409 | − | 1.07099i | ||||
\(593\) | 7.58598e14 | 0.424826 | 0.212413 | − | 0.977180i | \(-0.431868\pi\) | ||||
0.212413 | + | 0.977180i | \(0.431868\pi\) | |||||||
\(594\) | −1.44904e15 | − | 1.69596e15i | −0.803995 | − | 0.941001i | ||||
\(595\) | −1.01576e15 | −0.558402 | ||||||||
\(596\) | −2.28612e15 | − | 1.66096e15i | −1.24522 | − | 0.904702i | ||||
\(597\) | −7.18419e14 | + | 2.21107e15i | −0.387721 | + | 1.19328i | ||||
\(598\) | 1.27310e15 | + | 3.91820e15i | 0.680779 | + | 2.09522i | ||||
\(599\) | 1.25892e15 | − | 9.14661e14i | 0.667039 | − | 0.484632i | −0.201994 | − | 0.979387i | \(-0.564742\pi\) |
0.869033 | + | 0.494754i | \(0.164742\pi\) | |||||||
\(600\) | 2.22125e15 | − | 1.61383e15i | 1.16618 | − | 0.847278i | ||||
\(601\) | 8.57248e14 | + | 2.63834e15i | 0.445961 | + | 1.37253i | 0.881427 | + | 0.472321i | \(0.156584\pi\) |
−0.435466 | + | 0.900205i | \(0.643416\pi\) | |||||||
\(602\) | −4.73925e14 | + | 1.45859e15i | −0.244303 | + | 0.751887i | ||||
\(603\) | 8.49916e13 | + | 6.17500e13i | 0.0434141 | + | 0.0315422i | ||||
\(604\) | 7.30065e15 | 3.69538 | ||||||||
\(605\) | −6.26186e14 | − | 1.22782e15i | −0.314086 | − | 0.615859i | ||||
\(606\) | 3.13543e15 | 1.55847 | ||||||||
\(607\) | −1.61920e15 | − | 1.17642e15i | −0.797558 | − | 0.579460i | 0.112638 | − | 0.993636i | \(-0.464070\pi\) |
−0.910197 | + | 0.414176i | \(0.864070\pi\) | |||||||
\(608\) | −1.40105e15 | + | 4.31198e15i | −0.683886 | + | 2.10478i | ||||
\(609\) | −1.96493e14 | − | 6.04743e14i | −0.0950499 | − | 0.292533i | ||||
\(610\) | −1.66863e15 | + | 1.21233e15i | −0.799918 | + | 0.581175i | ||||
\(611\) | 2.65968e14 | − | 1.93237e14i | 0.126358 | − | 0.0918044i | ||||
\(612\) | −4.72140e14 | − | 1.45310e15i | −0.222299 | − | 0.684167i | ||||
\(613\) | 6.97515e14 | − | 2.14673e15i | 0.325478 | − | 1.00172i | −0.645747 | − | 0.763551i | \(-0.723454\pi\) |
0.971225 | − | 0.238165i | \(-0.0765461\pi\) | |||||||
\(614\) | 6.27540e14 | + | 4.55934e14i | 0.290212 | + | 0.210851i | ||||
\(615\) | −3.99750e14 | −0.183221 | ||||||||
\(616\) | 3.61306e15 | + | 4.22875e15i | 1.64128 | + | 1.92096i | ||||
\(617\) | 3.69890e15 | 1.66535 | 0.832673 | − | 0.553765i | \(-0.186809\pi\) | ||||
0.832673 | + | 0.553765i | \(0.186809\pi\) | |||||||
\(618\) | −3.07303e15 | − | 2.23269e15i | −1.37129 | − | 0.996303i | ||||
\(619\) | 4.80140e14 | − | 1.47772e15i | 0.212358 | − | 0.653571i | −0.786972 | − | 0.616988i | \(-0.788353\pi\) |
0.999331 | − | 0.0365832i | \(-0.0116474\pi\) | |||||||
\(620\) | −1.35249e15 | − | 4.16255e15i | −0.592900 | − | 1.82476i | ||||
\(621\) | 1.11382e15 | − | 8.09241e14i | 0.483964 | − | 0.351620i | ||||
\(622\) | 8.85841e14 | − | 6.43601e14i | 0.381513 | − | 0.277185i | ||||
\(623\) | −9.03833e14 | − | 2.78171e15i | −0.385837 | − | 1.18748i | ||||
\(624\) | 2.31395e15 | − | 7.12160e15i | 0.979126 | − | 3.01344i | ||||
\(625\) | 3.96141e14 | + | 2.87813e14i | 0.166154 | + | 0.120718i | ||||
\(626\) | −6.28642e15 | −2.61363 | ||||||||
\(627\) | 4.42781e14 | + | 5.61265e15i | 0.182481 | + | 2.31311i | ||||
\(628\) | −6.18477e14 | −0.252665 | ||||||||
\(629\) | 1.41063e15 | + | 1.02488e15i | 0.571260 | + | 0.415045i | ||||
\(630\) | 4.50547e14 | − | 1.38664e15i | 0.180870 | − | 0.556661i | ||||
\(631\) | −6.15291e14 | − | 1.89367e15i | −0.244861 | − | 0.753603i | −0.995659 | − | 0.0930724i | \(-0.970331\pi\) |
0.750799 | − | 0.660531i | \(-0.229669\pi\) | |||||||
\(632\) | −4.24353e15 | + | 3.08310e15i | −1.67411 | + | 1.21631i | ||||
\(633\) | 2.84760e15 | − | 2.06890e15i | 1.11368 | − | 0.809133i | ||||
\(634\) | 1.02176e15 | + | 3.14465e15i | 0.396148 | + | 1.21922i | ||||
\(635\) | −1.08416e15 | + | 3.33670e15i | −0.416713 | + | 1.28251i | ||||
\(636\) | 2.57443e15 | + | 1.87043e15i | 0.980994 | + | 0.712734i | ||||
\(637\) | 7.20222e14 | 0.272082 | ||||||||
\(638\) | −1.05113e15 | + | 4.35622e14i | −0.393679 | + | 0.163153i | ||||
\(639\) | −7.02525e14 | −0.260860 | ||||||||
\(640\) | 1.30027e15 | + | 9.44702e14i | 0.478679 | + | 0.347780i | ||||
\(641\) | −1.24186e15 | + | 3.82207e15i | −0.453268 | + | 1.39502i | 0.419888 | + | 0.907576i | \(0.362069\pi\) |
−0.873156 | + | 0.487440i | \(0.837931\pi\) | |||||||
\(642\) | −1.26406e15 | − | 3.89036e15i | −0.457429 | − | 1.40782i | ||||
\(643\) | 3.00248e15 | − | 2.18143e15i | 1.07726 | − | 0.782673i | 0.100055 | − | 0.994982i | \(-0.468098\pi\) |
0.977203 | + | 0.212309i | \(0.0680982\pi\) | |||||||
\(644\) | −4.95280e15 | + | 3.59842e15i | −1.76189 | + | 1.28009i | ||||
\(645\) | −2.89080e14 | − | 8.89698e14i | −0.101962 | − | 0.313808i | ||||
\(646\) | 2.29435e15 | − | 7.06128e15i | 0.802381 | − | 2.46948i | ||||
\(647\) | 2.31007e15 | + | 1.67837e15i | 0.801036 | + | 0.581987i | 0.911218 | − | 0.411925i | \(-0.135143\pi\) |
−0.110182 | + | 0.993911i | \(0.535143\pi\) | |||||||
\(648\) | −8.36581e15 | −2.87637 | ||||||||
\(649\) | −1.36445e15 | + | 2.22751e15i | −0.465169 | + | 0.759405i | ||||
\(650\) | −3.88887e15 | −1.31462 | ||||||||
\(651\) | 3.84421e15 | + | 2.79298e15i | 1.28858 | + | 0.936209i | ||||
\(652\) | 2.27013e15 | − | 6.98673e15i | 0.754551 | − | 2.32227i | ||||
\(653\) | −1.47191e14 | − | 4.53008e14i | −0.0485132 | − | 0.149308i | 0.923865 | − | 0.382718i | \(-0.125012\pi\) |
−0.972379 | + | 0.233409i | \(0.925012\pi\) | |||||||
\(654\) | −4.47945e15 | + | 3.25451e15i | −1.46402 | + | 1.06367i | ||||
\(655\) | −5.69686e14 | + | 4.13901e14i | −0.184633 | + | 0.134143i | ||||
\(656\) | −4.06520e14 | − | 1.25114e15i | −0.130650 | − | 0.402101i | ||||
\(657\) | 1.73581e14 | − | 5.34228e14i | 0.0553214 | − | 0.170262i | ||||
\(658\) | 5.68828e14 | + | 4.13278e14i | 0.179779 | + | 0.130617i | ||||
\(659\) | −5.96938e15 | −1.87094 | −0.935468 | − | 0.353410i | \(-0.885022\pi\) | ||||
−0.935468 | + | 0.353410i | \(0.885022\pi\) | |||||||
\(660\) | −5.88347e15 | − | 1.41133e15i | −1.82870 | − | 0.438670i | ||||
\(661\) | 5.64947e15 | 1.74140 | 0.870702 | − | 0.491811i | \(-0.163665\pi\) | ||||
0.870702 | + | 0.491811i | \(0.163665\pi\) | |||||||
\(662\) | 2.67168e15 | + | 1.94109e15i | 0.816705 | + | 0.593371i | ||||
\(663\) | −1.25162e15 | + | 3.85209e15i | −0.379444 | + | 1.16781i | ||||
\(664\) | 3.32858e15 | + | 1.02443e16i | 1.00077 | + | 3.08006i | ||||
\(665\) | 3.98259e15 | − | 2.89352e15i | 1.18754 | − | 0.862795i | ||||
\(666\) | −2.02479e15 | + | 1.47110e15i | −0.598787 | + | 0.435044i | ||||
\(667\) | −2.17008e14 | − | 6.67882e14i | −0.0636479 | − | 0.195888i | ||||
\(668\) | 3.11867e14 | − | 9.59829e14i | 0.0907193 | − | 0.279205i | ||||
\(669\) | −2.14987e15 | − | 1.56197e15i | −0.620253 | − | 0.450640i | ||||
\(670\) | −5.48624e14 | −0.156987 | ||||||||
\(671\) | −2.70720e15 | − | 6.49406e14i | −0.768328 | − | 0.184307i | ||||
\(672\) | 5.28975e15 | 1.48903 | ||||||||
\(673\) | 3.18555e15 | + | 2.31444e15i | 0.889410 | + | 0.646194i | 0.935724 | − | 0.352733i | \(-0.114748\pi\) |
−0.0463141 | + | 0.998927i | \(0.514748\pi\) | |||||||
\(674\) | 2.16207e15 | − | 6.65417e15i | 0.598743 | − | 1.84274i | ||||
\(675\) | 4.01592e14 | + | 1.23597e15i | 0.110310 | + | 0.339499i | ||||
\(676\) | −6.32198e15 | + | 4.59319e15i | −1.72245 | + | 1.25143i | ||||
\(677\) | −2.76468e15 | + | 2.00865e15i | −0.747148 | + | 0.542835i | −0.894941 | − | 0.446184i | \(-0.852783\pi\) |
0.147794 | + | 0.989018i | \(0.452783\pi\) | |||||||
\(678\) | −2.41679e14 | − | 7.43811e14i | −0.0647851 | − | 0.199388i | ||||
\(679\) | −1.80788e14 | + | 5.56407e14i | −0.0480712 | + | 0.147948i | ||||
\(680\) | 3.61964e15 | + | 2.62982e15i | 0.954699 | + | 0.693629i | ||||
\(681\) | 4.79373e15 | 1.25419 | ||||||||
\(682\) | 4.44132e15 | − | 7.25062e15i | 1.15265 | − | 1.88175i | ||||
\(683\) | −4.01542e15 | −1.03375 | −0.516876 | − | 0.856060i | \(-0.672905\pi\) | ||||
−0.516876 | + | 0.856060i | \(0.672905\pi\) | |||||||
\(684\) | 5.99051e15 | + | 4.35236e15i | 1.52987 | + | 1.11152i | ||||
\(685\) | −3.15087e14 | + | 9.69738e14i | −0.0798238 | + | 0.245672i | ||||
\(686\) | −1.95769e15 | − | 6.02516e15i | −0.491997 | − | 1.51421i | ||||
\(687\) | 4.25035e15 | − | 3.08806e15i | 1.05965 | − | 0.769881i | ||||
\(688\) | 2.49061e15 | − | 1.80953e15i | 0.615983 | − | 0.447538i | ||||
\(689\) | −7.81003e14 | − | 2.40368e15i | −0.191623 | − | 0.589754i | ||||
\(690\) | 1.66082e15 | − | 5.11149e15i | 0.404253 | − | 1.24416i | ||||
\(691\) | −4.30409e15 | − | 3.12710e15i | −1.03933 | − | 0.755114i | −0.0691718 | − | 0.997605i | \(-0.522036\pi\) |
−0.970154 | + | 0.242491i | \(0.922036\pi\) | |||||||
\(692\) | 6.14793e15 | 1.47281 | ||||||||
\(693\) | 1.81805e15 | − | 7.53461e14i | 0.432090 | − | 0.179072i | ||||
\(694\) | 5.15081e15 | 1.21450 | ||||||||
\(695\) | −4.51983e15 | − | 3.28385e15i | −1.05732 | − | 0.768186i | ||||
\(696\) | −8.65494e14 | + | 2.66372e15i | −0.200869 | + | 0.618212i | ||||
\(697\) | 2.19887e14 | + | 6.76744e14i | 0.0506314 | + | 0.155827i | ||||
\(698\) | 2.30126e15 | − | 1.67196e15i | 0.525727 | − | 0.381963i | ||||
\(699\) | −2.36192e15 | + | 1.71604e15i | −0.535354 | + | 0.388957i | ||||
\(700\) | −1.78574e15 | − | 5.49595e15i | −0.401587 | − | 1.23596i | ||||
\(701\) | 1.52594e15 | − | 4.69636e15i | 0.340477 | − | 1.04788i | −0.623483 | − | 0.781837i | \(-0.714283\pi\) |
0.963961 | − | 0.266045i | \(-0.0857169\pi\) | |||||||
\(702\) | 6.29201e15 | + | 4.57142e15i | 1.39295 | + | 1.01204i | ||||
\(703\) | −8.45031e15 | −1.85617 | ||||||||
\(704\) | −5.65805e13 | − | 7.17208e14i | −0.0123315 | − | 0.156313i | ||||
\(705\) | −4.28876e14 | −0.0927453 | ||||||||
\(706\) | −5.20805e15 | − | 3.78387e15i | −1.11750 | − | 0.811915i | ||||
\(707\) | 1.14351e15 | − | 3.51936e15i | 0.243463 | − | 0.749303i | ||||
\(708\) | 3.54349e15 | + | 1.09057e16i | 0.748597 | + | 2.30395i | ||||
\(709\) | −3.08596e15 | + | 2.24208e15i | −0.646899 | + | 0.470000i | −0.862213 | − | 0.506545i | \(-0.830922\pi\) |
0.215315 | + | 0.976545i | \(0.430922\pi\) | |||||||
\(710\) | 2.96808e15 | − | 2.15644e15i | 0.617384 | − | 0.448556i | ||||
\(711\) | 5.73510e14 | + | 1.76508e15i | 0.118374 | + | 0.364319i | ||||
\(712\) | −3.98113e15 | + | 1.22526e16i | −0.815391 | + | 2.50952i | ||||
\(713\) | 4.24558e15 | + | 3.08459e15i | 0.862868 | + | 0.626910i | ||||
\(714\) | −8.66246e15 | −1.74703 | ||||||||
\(715\) | 3.12155e15 | + | 3.65348e15i | 0.624722 | + | 0.731178i | ||||
\(716\) | 1.21777e16 | 2.41849 | ||||||||
\(717\) | −7.97442e15 | − | 5.79376e15i | −1.57161 | − | 1.14184i | ||||
\(718\) | 1.93573e15 | − | 5.95757e15i | 0.378583 | − | 1.16516i | ||||
\(719\) | 2.97921e15 | + | 9.16906e15i | 0.578219 | + | 1.77957i | 0.624948 | + | 0.780667i | \(0.285120\pi\) |
−0.0467288 | + | 0.998908i | \(0.514880\pi\) | |||||||
\(720\) | −2.36775e15 | + | 1.72027e15i | −0.456044 | + | 0.331336i | ||||
\(721\) | −3.62683e15 | + | 2.63505e15i | −0.693240 | + | 0.503668i | ||||
\(722\) | 8.17049e15 | + | 2.51462e16i | 1.54986 | + | 4.76999i | ||||
\(723\) | 4.90085e13 | − | 1.50833e14i | 0.00922595 | − | 0.0283946i | ||||
\(724\) | −7.39069e15 | − | 5.36965e15i | −1.38078 | − | 1.00319i | ||||
\(725\) | 6.62883e14 | 0.122907 | ||||||||
\(726\) | −5.34016e15 | − | 1.04710e16i | −0.982659 | − | 1.92679i | ||||
\(727\) | −5.41302e15 | −0.988555 | −0.494277 | − | 0.869304i | \(-0.664567\pi\) | ||||
−0.494277 | + | 0.869304i | \(0.664567\pi\) | |||||||
\(728\) | −1.56887e16 | − | 1.13985e16i | −2.84357 | − | 2.06597i | ||||
\(729\) | 4.88812e14 | − | 1.50441e15i | 0.0879306 | − | 0.270623i | ||||
\(730\) | 9.06483e14 | + | 2.78987e15i | 0.161839 | + | 0.498090i | ||||
\(731\) | −1.34717e15 | + | 9.78779e14i | −0.238714 | + | 0.173436i | ||||
\(732\) | −9.88717e15 | + | 7.18345e15i | −1.73885 | + | 1.26335i | ||||
\(733\) | 1.09326e15 | + | 3.36470e15i | 0.190831 | + | 0.587319i | 1.00000 | 0.000257811i | \(-8.20638e-5\pi\) | |
−0.809169 | + | 0.587577i | \(0.800082\pi\) | |||||||
\(734\) | −2.25688e15 | + | 6.94597e15i | −0.391003 | + | 1.20338i | ||||
\(735\) | −7.60124e14 | − | 5.52263e14i | −0.130709 | − | 0.0949654i | ||||
\(736\) | 5.84204e15 | 0.997094 | ||||||||
\(737\) | −4.81041e14 | − | 5.63013e14i | −0.0814912 | − | 0.0953778i | ||||
\(738\) | −1.02138e15 | −0.171742 | ||||||||
\(739\) | 8.05481e15 | + | 5.85216e15i | 1.34435 | + | 0.976724i | 0.999272 | + | 0.0381486i | \(0.0121460\pi\) |
0.345073 | + | 0.938576i | \(0.387854\pi\) | |||||||
\(740\) | 2.80623e15 | − | 8.63668e15i | 0.464888 | − | 1.43078i | ||||
\(741\) | −6.06582e15 | − | 1.86687e16i | −0.997447 | − | 3.06983i | ||||
\(742\) | 4.37300e15 | − | 3.17717e15i | 0.713770 | − | 0.518584i | ||||
\(743\) | 9.50464e15 | − | 6.90553e15i | 1.53992 | − | 1.11882i | 0.589529 | − | 0.807747i | \(-0.299313\pi\) |
0.950388 | − | 0.311068i | \(-0.100687\pi\) | |||||||
\(744\) | −6.46769e15 | − | 1.99055e16i | −1.04016 | − | 3.20127i | ||||
\(745\) | 9.04757e14 | − | 2.78455e15i | 0.144435 | − | 0.444525i | ||||
\(746\) | −7.31481e15 | − | 5.31452e15i | −1.15915 | − | 0.842172i | ||||
\(747\) | 3.81123e15 | 0.599518 | ||||||||
\(748\) | 8.47006e14 | + | 1.07366e16i | 0.132260 | + | 1.67651i | ||||
\(749\) | −4.82774e15 | −0.748331 | ||||||||
\(750\) | 1.19660e16 | + | 8.69381e15i | 1.84125 | + | 1.33774i | ||||
\(751\) | −4.50455e14 | + | 1.38636e15i | −0.0688069 | + | 0.211766i | −0.979548 | − | 0.201213i | \(-0.935512\pi\) |
0.910741 | + | 0.412979i | \(0.135512\pi\) | |||||||
\(752\) | −4.36140e14 | − | 1.34230e15i | −0.0661344 | − | 0.203541i | ||||
\(753\) | 9.16376e15 | − | 6.65786e15i | 1.37943 | − | 1.00222i | ||||
\(754\) | 3.20940e15 | − | 2.33177e15i | 0.479603 | − | 0.348452i | ||||
\(755\) | 2.33750e15 | + | 7.19410e15i | 0.346772 | + | 1.06725i | ||||
\(756\) | −3.57131e15 | + | 1.09913e16i | −0.525965 | + | 1.61876i | ||||
\(757\) | −1.01209e16 | − | 7.35329e15i | −1.47977 | − | 1.07511i | −0.977632 | − | 0.210325i | \(-0.932548\pi\) |
−0.502136 | − | 0.864789i | \(-0.667452\pi\) | |||||||
\(758\) | 1.04468e16 | 1.51636 | ||||||||
\(759\) | 6.70178e15 | − | 2.77744e15i | 0.965740 | − | 0.400234i | ||||
\(760\) | −2.16833e16 | −3.10206 | ||||||||
\(761\) | 6.98117e15 | + | 5.07212e15i | 0.991545 | + | 0.720400i | 0.960259 | − | 0.279111i | \(-0.0900397\pi\) |
0.0312862 | + | 0.999510i | \(0.490040\pi\) | |||||||
\(762\) | −9.24579e15 | + | 2.84556e16i | −1.30374 | + | 4.01250i | ||||
\(763\) | 2.01934e15 | + | 6.21489e15i | 0.282699 | + | 0.870058i | ||||
\(764\) | 1.79143e16 | − | 1.30155e16i | 2.48993 | − | 1.80904i | ||||
\(765\) | 1.28072e15 | − | 9.30498e14i | 0.176732 | − | 0.128404i | ||||
\(766\) | −5.35101e15 | − | 1.64687e16i | −0.733124 | − | 2.25632i | ||||
\(767\) | 2.81436e15 | − | 8.66169e15i | 0.382829 | − | 1.17823i | ||||
\(768\) | 1.22111e16 | + | 8.87190e15i | 1.64918 | + | 1.19820i | ||||
\(769\) | −9.34623e13 | −0.0125326 | −0.00626631 | − | 0.999980i | \(-0.501995\pi\) | ||||
−0.00626631 | + | 0.999980i | \(0.501995\pi\) | |||||||
\(770\) | −5.36827e15 | + | 8.76390e15i | −0.714719 | + | 1.16680i | ||||
\(771\) | −1.21518e16 | −1.60635 | ||||||||
\(772\) | 2.74417e15 | + | 1.99376e15i | 0.360177 | + | 0.261684i | ||||
\(773\) | 9.92838e13 | − | 3.05564e14i | 0.0129387 | − | 0.0398213i | −0.944379 | − | 0.328860i | \(-0.893336\pi\) |
0.957317 | + | 0.289039i | \(0.0933356\pi\) | |||||||
\(774\) | −7.38611e14 | − | 2.27321e15i | −0.0955742 | − | 0.294147i | ||||
\(775\) | −4.00756e15 | + | 2.91166e15i | −0.514897 | + | 0.374095i | ||||
\(776\) | 2.08479e15 | − | 1.51469e15i | 0.265963 | − | 0.193234i | ||||
\(777\) | 3.04663e15 | + | 9.37655e15i | 0.385926 | + | 1.18776i | ||||
\(778\) | −2.00086e15 | + | 6.15800e15i | −0.251668 | + | 0.774555i | ||||
\(779\) | −2.78993e15 | − | 2.02700e15i | −0.348448 | − | 0.253162i | ||||
\(780\) | 2.10948e16 | 2.61610 | ||||||||
\(781\) | 4.81545e15 | + | 1.15513e15i | 0.593002 | + | 0.142250i | ||||
\(782\) | −9.56689e15 | −1.16986 | ||||||||
\(783\) | −1.07251e15 | − | 7.79227e14i | −0.130231 | − | 0.0946181i | ||||
\(784\) | 9.55478e14 | − | 2.94066e15i | 0.115208 | − | 0.354573i | ||||
\(785\) | −1.98022e14 | − | 6.09450e14i | −0.0237100 | − | 0.0729718i | ||||
\(786\) | −4.85833e15 | + | 3.52978e15i | −0.577647 | + | 0.419685i | ||||
\(787\) | 1.40874e15 | − | 1.02351e15i | 0.166330 | − | 0.120846i | −0.501507 | − | 0.865154i | \(-0.667221\pi\) |
0.667836 | + | 0.744308i | \(0.267221\pi\) | |||||||
\(788\) | −2.10622e15 | − | 6.48229e15i | −0.246951 | − | 0.760036i | ||||
\(789\) | −1.43382e15 | + | 4.41285e15i | −0.166944 | + | 0.513802i | ||||
\(790\) | −7.84102e15 | − | 5.69683e15i | −0.906616 | − | 0.658695i | ||||
\(791\) | −9.23031e14 | −0.105985 | ||||||||
\(792\) | −8.42934e15 | − | 2.02204e15i | −0.961181 | − | 0.230569i | ||||
\(793\) | 9.70649e15 | 1.09916 | ||||||||
\(794\) | −8.48495e14 | − | 6.16467e14i | −0.0954193 | − | 0.0693262i | ||||
\(795\) | −1.01886e15 | + | 3.13572e15i | −0.113787 | + | 0.350202i | ||||
\(796\) | −6.66029e15 | − | 2.04983e16i | −0.738705 | − | 2.27350i | ||||
\(797\) | −3.03296e15 | + | 2.20358e15i | −0.334077 | + | 0.242721i | −0.742158 | − | 0.670224i | \(-0.766198\pi\) |
0.408082 | + | 0.912945i | \(0.366198\pi\) | |||||||
\(798\) | 3.39638e16 | − | 2.46762e16i | 3.71536 | − | 2.69937i | ||||
\(799\) | 2.35909e14 | + | 7.26053e14i | 0.0256293 | + | 0.0788789i | ||||
\(800\) | −1.70408e15 | + | 5.24462e15i | −0.183863 | + | 0.565873i | ||||
\(801\) | 3.68782e15 | + | 2.67936e15i | 0.395177 | + | 0.287113i | ||||
\(802\) | 4.41091e15 | 0.469428 | ||||||||
\(803\) | −2.06822e15 | + | 3.37645e15i | −0.218606 | + | 0.356882i | ||||
\(804\) | −3.25078e15 | −0.341255 | ||||||||
\(805\) | −5.13167e15 | − | 3.72838e15i | −0.535034 | − | 0.388725i | ||||
\(806\) | −9.16082e15 | + | 2.81941e16i | −0.948618 | + | 2.91955i | ||||
\(807\) | −2.72487e15 | − | 8.38629e15i | −0.280247 | − | 0.862513i | ||||
\(808\) | −1.31866e16 | + | 9.58063e15i | −1.34701 | + | 0.978659i | ||||
\(809\) | −8.45960e15 | + | 6.14626e15i | −0.858288 | + | 0.623583i | −0.927419 | − | 0.374025i | \(-0.877978\pi\) |
0.0691305 | + | 0.997608i | \(0.477978\pi\) | |||||||
\(810\) | −4.77678e15 | − | 1.47014e16i | −0.481358 | − | 1.48147i | ||||
\(811\) | −2.61203e14 | + | 8.03899e14i | −0.0261434 | + | 0.0804612i | −0.963277 | − | 0.268510i | \(-0.913469\pi\) |
0.937134 | + | 0.348971i | \(0.113469\pi\) | |||||||
\(812\) | 4.76911e15 | + | 3.46496e15i | 0.474110 | + | 0.344461i | ||||
\(813\) | −1.95690e16 | −1.93229 | ||||||||
\(814\) | 1.62978e16 | − | 6.75433e15i | 1.59843 | − | 0.662442i | ||||
\(815\) | 7.61160e15 | 0.741497 | ||||||||
\(816\) | 1.40676e16 | + | 1.02207e16i | 1.36120 | + | 0.988973i | ||||
\(817\) | 2.49383e15 | − | 7.67520e15i | 0.239687 | − | 0.737681i | ||||
\(818\) | −1.61925e14 | − | 4.98355e14i | −0.0154586 | − | 0.0475768i | ||||
\(819\) | −5.55105e15 | + | 4.03308e15i | −0.526398 | + | 0.382450i | ||||
\(820\) | 2.99820e15 | − | 2.17832e15i | 0.282413 | − | 0.205185i | ||||
\(821\) | 4.79605e15 | + | 1.47607e16i | 0.448741 | + | 1.38108i | 0.878328 | + | 0.478058i | \(0.158659\pi\) |
−0.429587 | + | 0.903026i | \(0.641341\pi\) | |||||||
\(822\) | −2.68708e15 | + | 8.27000e15i | −0.249739 | + | 0.768618i | ||||
\(823\) | 6.10718e15 | + | 4.43713e15i | 0.563822 | + | 0.409640i | 0.832856 | − | 0.553490i | \(-0.186704\pi\) |
−0.269034 | + | 0.963131i | \(0.586704\pi\) | |||||||
\(824\) | 1.97464e16 | 1.81087 | ||||||||
\(825\) | 5.38550e14 | + | 6.82660e15i | 0.0490602 | + | 0.621882i | ||||
\(826\) | 1.94782e16 | 1.76262 | ||||||||
\(827\) | 2.57365e15 | + | 1.86987e15i | 0.231350 | + | 0.168086i | 0.697421 | − | 0.716662i | \(-0.254331\pi\) |
−0.466071 | + | 0.884747i | \(0.654331\pi\) | |||||||
\(828\) | 2.94837e15 | − | 9.07415e15i | 0.263278 | − | 0.810287i | ||||
\(829\) | −2.25679e15 | − | 6.94568e15i | −0.200189 | − | 0.616119i | −0.999877 | − | 0.0157027i | \(-0.995001\pi\) |
0.799687 | − | 0.600417i | \(-0.204999\pi\) | |||||||
\(830\) | −1.61020e16 | + | 1.16988e16i | −1.41889 | + | 1.03089i | ||||
\(831\) | 3.70212e15 | − | 2.68975e15i | 0.324075 | − | 0.235454i | ||||
\(832\) | 7.75117e14 | + | 2.38556e15i | 0.0674045 | + | 0.207450i | ||||
\(833\) | −5.16820e14 | + | 1.59061e15i | −0.0446469 | + | 0.137409i | ||||
\(834\) | −3.85454e16 | − | 2.80049e16i | −3.30795 | − | 2.40337i | ||||
\(835\) | 1.04567e15 | 0.0891498 | ||||||||
\(836\) | −3.39054e16 | − | 3.96831e16i | −2.87167 | − | 3.36102i | ||||
\(837\) | 9.90674e15 | 0.833567 | ||||||||
\(838\) | −1.39512e16 | − | 1.01361e16i | −1.16619 | − | 0.847285i | ||||
\(839\) | 3.71333e15 | − | 1.14284e16i | 0.308370 | − | 0.949065i | −0.670028 | − | 0.742336i | \(-0.733718\pi\) |
0.978398 | − | 0.206730i | \(-0.0662821\pi\) | |||||||
\(840\) | 7.81757e15 | + | 2.40600e16i | 0.644964 | + | 1.98500i | ||||
\(841\) | 9.32336e15 | − | 6.77381e15i | 0.764178 | − | 0.555208i | ||||
\(842\) | −1.69589e16 | + | 1.23214e16i | −1.38096 | + | 1.00333i | ||||
\(843\) | −6.04805e15 | − | 1.86140e16i | −0.489287 | − | 1.50587i | ||||
\(844\) | −1.00837e16 | + | 3.10344e16i | −0.810468 | + | 2.49436i | ||||
\(845\) | −6.55030e15 | − | 4.75907e15i | −0.523057 | − | 0.380023i | ||||
\(846\) | −1.09580e15 | −0.0869346 | ||||||||
\(847\) | −1.37007e16 | + | 2.17523e15i | −1.07990 | + | 0.171454i | ||||
\(848\) | −1.08503e16 | −0.849699 | ||||||||
\(849\) | 2.25932e15 | + | 1.64149e15i | 0.175787 | + | 0.127716i | ||||
\(850\) | 2.79059e15 | − | 8.58856e15i | 0.215721 | − | 0.663921i | ||||
\(851\) | 3.36472e15 | + | 1.03555e16i | 0.258426 | + | 0.795353i | ||||
\(852\) | 1.75869e16 | − | 1.27776e16i | 1.34206 | − | 0.975061i | ||||
\(853\) | −2.64554e15 | + | 1.92209e15i | −0.200583 | + | 0.145732i | −0.683543 | − | 0.729911i | \(-0.739562\pi\) |
0.482960 | + | 0.875643i | \(0.339562\pi\) | |||||||
\(854\) | 6.41499e15 | + | 1.97433e16i | 0.483256 | + | 1.48731i | ||||
\(855\) | −2.37081e15 | + | 7.29660e15i | −0.177453 | + | 0.546144i | ||||
\(856\) | 1.72036e16 | + | 1.24991e16i | 1.27942 | + | 0.929554i | ||||
\(857\) | 1.32932e16 | 0.982277 | 0.491138 | − | 0.871082i | \(-0.336581\pi\) | ||||
0.491138 | + | 0.871082i | \(0.336581\pi\) | |||||||
\(858\) | 2.66208e16 | + | 3.11571e16i | 1.95452 | + | 2.28759i | ||||
\(859\) | −2.55588e16 | −1.86457 | −0.932284 | − | 0.361727i | \(-0.882187\pi\) | ||||
−0.932284 | + | 0.361727i | \(0.882187\pi\) | |||||||
\(860\) | 7.01631e15 | + | 5.09765e15i | 0.508590 | + | 0.369512i | ||||
\(861\) | −1.24332e15 | + | 3.82654e15i | −0.0895498 | + | 0.275606i | ||||
\(862\) | 5.24941e15 | + | 1.61560e16i | 0.375682 | + | 1.15623i | ||||
\(863\) | −9.88845e15 | + | 7.18438e15i | −0.703184 | + | 0.510893i | −0.880968 | − | 0.473177i | \(-0.843107\pi\) |
0.177784 | + | 0.984070i | \(0.443107\pi\) | |||||||
\(864\) | 8.92223e15 | − | 6.48238e15i | 0.630446 | − | 0.458046i | ||||
\(865\) | 1.96843e15 | + | 6.05820e15i | 0.138207 | + | 0.425358i | ||||
\(866\) | 6.35714e15 | − | 1.95653e16i | 0.443520 | − | 1.36501i | ||||
\(867\) | 6.33493e15 | + | 4.60259e15i | 0.439174 | + | 0.319079i | ||||
\(868\) | −4.40519e16 | −3.03463 | ||||||||
\(869\) | −1.02886e15 | − | 1.30417e16i | −0.0704284 | − | 0.892742i | ||||
\(870\) | −5.17520e15 | −0.352023 | ||||||||
\(871\) | 2.08878e15 | + | 1.51759e15i | 0.141186 | + | 0.102578i | ||||
\(872\) | 8.89461e15 | − | 2.73748e16i | 0.597429 | − | 1.83870i | ||||
\(873\) | −2.81757e14 | − | 8.67160e14i | −0.0188060 | − | 0.0578790i | ||||
\(874\) | 3.75099e16 | − | 2.72525e16i | 2.48790 | − | 1.80757i | ||||
\(875\) | 1.41224e16 | − | 1.02605e16i | 0.930818 | − | 0.676279i | ||||
\(876\) | 5.37121e15 | + | 1.65309e16i | 0.351803 | + | 1.08274i | ||||
\(877\) | −2.25732e15 | + | 6.94732e15i | −0.146925 | + | 0.452188i | −0.997254 | − | 0.0740637i | \(-0.976403\pi\) |
0.850329 | + | 0.526252i | \(0.176403\pi\) | |||||||
\(878\) | 5.67933e15 | + | 4.12627e15i | 0.367348 | + | 0.266894i | ||||
\(879\) | 1.39738e16 | 0.898205 | ||||||||
\(880\) | 1.90583e16 | − | 7.89837e15i | 1.21739 | − | 0.504525i | ||||
\(881\) | 9.26418e15 | 0.588084 | 0.294042 | − | 0.955792i | \(-0.404999\pi\) | ||||
0.294042 | + | 0.955792i | \(0.404999\pi\) | |||||||
\(882\) | −1.94215e15 | − | 1.41105e15i | −0.122519 | − | 0.0890155i | ||||
\(883\) | 4.95580e14 | − | 1.52524e15i | 0.0310692 | − | 0.0956211i | −0.934319 | − | 0.356437i | \(-0.883992\pi\) |
0.965389 | + | 0.260816i | \(0.0839915\pi\) | |||||||
\(884\) | −1.16035e16 | − | 3.57118e16i | −0.722936 | − | 2.22497i | ||||
\(885\) | −9.61202e15 | + | 6.98354e15i | −0.595150 | + | 0.432402i | ||||
\(886\) | −4.39795e16 | + | 3.19530e16i | −2.70623 | + | 1.96619i | ||||
\(887\) | 4.30235e14 | + | 1.32413e15i | 0.0263103 | + | 0.0809748i | 0.963349 | − | 0.268249i | \(-0.0864451\pi\) |
−0.937039 | + | 0.349224i | \(0.886445\pi\) | |||||||
\(888\) | 1.34195e16 | − | 4.13010e16i | 0.815578 | − | 2.51009i | ||||
\(889\) | 2.85680e16 | + | 2.07559e16i | 1.72552 | + | 1.25366i | ||||
\(890\) | −2.38050e16 | −1.42897 | ||||||||
\(891\) | 1.08987e16 | − | 1.77925e16i | 0.650198 | − | 1.06147i | ||||
\(892\) | 2.46360e16 | 1.46071 | ||||||||
\(893\) | −2.99321e15 | − | 2.17469e15i | −0.176382 | − | 0.128149i | ||||
\(894\) | 7.71583e15 | − | 2.37469e16i | 0.451883 | − | 1.39075i | ||||
\(895\) | 3.89903e15 | + | 1.20000e16i | 0.226950 | + | 0.698480i | ||||
\(896\) | 1.30872e16 | − | 9.50838e15i | 0.757097 | − | 0.550063i | ||||
\(897\) | −2.04625e16 | + | 1.48669e16i | −1.17652 | + | 0.854793i | ||||
\(898\) | −8.54663e15 | − | 2.63038e16i | −0.488399 | − | 1.50314i | ||||
\(899\) | 1.56152e15 | − | 4.80587e15i | 0.0886889 | − | 0.272956i | ||||
\(900\) | 7.28619e15 | + | 5.29373e15i | 0.411308 | + | 0.298832i | ||||
\(901\) | 5.86895e15 | 0.329287 | ||||||||
\(902\) | 7.00101e15 | + | 1.67941e15i | 0.390413 | + | 0.0936527i | ||||
\(903\) | −9.41559e15 | −0.521873 | ||||||||
\(904\) | 3.28921e15 | + | 2.38975e15i | 0.181203 | + | 0.131652i | ||||
\(905\) | 2.92495e15 | − | 9.00206e15i | 0.160159 | − | 0.492918i | ||||
\(906\) | 1.99344e16 | + | 6.13518e16i | 1.08492 | + | 3.33904i | ||||
\(907\) | 2.69862e16 | − | 1.96066e16i | 1.45983 | − | 1.06063i | 0.476418 | − | 0.879219i | \(-0.341935\pi\) |
0.983408 | − | 0.181407i | \(-0.0580651\pi\) | |||||||
\(908\) | −3.59539e16 | + | 2.61220e16i | −1.93319 | + | 1.40454i | ||||
\(909\) | 1.78216e15 | + | 5.48492e15i | 0.0952457 | + | 0.293136i | ||||
\(910\) | 1.10728e16 | − | 3.40785e16i | 0.588205 | − | 1.81031i | ||||
\(911\) | 1.57717e16 | + | 1.14588e16i | 0.832773 | + | 0.605045i | 0.920342 | − | 0.391113i | \(-0.127910\pi\) |
−0.0875695 | + | 0.996158i | \(0.527910\pi\) | |||||||
\(912\) | −8.42712e16 | −4.42291 | ||||||||
\(913\) | −2.61240e16 | − | 6.26666e15i | −1.36286 | − | 0.326924i | ||||
\(914\) | 7.18239e14 | 0.0372447 | ||||||||
\(915\) | −1.02443e16 | − | 7.44289e15i | −0.528037 | − | 0.383641i | ||||
\(916\) | −1.50510e16 | + | 4.63221e16i | −0.771151 | + | 2.37336i | ||||
\(917\) | 2.19014e15 | + | 6.74055e15i | 0.111542 | + | 0.343292i | ||||
\(918\) | −1.46110e16 | + | 1.06155e16i | −0.739682 | + | 0.537411i | ||||
\(919\) | 1.02498e16 | − | 7.44695e15i | 0.515801 | − | 0.374751i | −0.299219 | − | 0.954184i | \(-0.596726\pi\) |
0.815020 | + | 0.579433i | \(0.196726\pi\) | |||||||
\(920\) | 8.63378e15 | + | 2.65721e16i | 0.431885 | + | 1.32921i | ||||
\(921\) | −1.47159e15 | + | 4.52909e15i | −0.0731743 | + | 0.225207i | ||||
\(922\) | −3.06933e16 | − | 2.23000e16i | −1.51713 | − | 1.10226i | ||||
\(923\) | −1.72655e16 | −0.848338 | ||||||||
\(924\) | −3.18087e16 | + | 5.19289e16i | −1.55364 | + | 2.53638i | ||||
\(925\) | −1.02780e16 | −0.499034 | ||||||||
\(926\) | 8.94019e15 | + | 6.49543e15i | 0.431506 | + | 0.313507i | ||||
\(927\) | 2.15903e15 | − | 6.64481e15i | 0.103591 | − | 0.318819i | ||||
\(928\) | −1.73833e15 | − | 5.35004e15i | −0.0829123 | − | 0.255178i | ||||
\(929\) | −2.84415e16 | + | 2.06639e16i | −1.34855 | + | 0.979775i | −0.349463 | + | 0.936950i | \(0.613636\pi\) |
−0.999083 | + | 0.0428251i | \(0.986364\pi\) | |||||||
\(930\) | 3.12874e16 | − | 2.27317e16i | 1.47473 | − | 1.07146i | ||||
\(931\) | −2.50471e15 | − | 7.70869e15i | −0.117364 | − | 0.361208i | ||||
\(932\) | 8.36383e15 | − | 2.57412e16i | 0.389599 | − | 1.19906i | ||||
\(933\) | 5.43847e15 | + | 3.95128e15i | 0.251842 | + | 0.182974i | ||||
\(934\) | 4.56323e16 | 2.10070 | ||||||||
\(935\) | −1.03087e16 | + | 4.27224e15i | −0.471779 | + | 0.195520i | ||||
\(936\) | 3.02228e16 | 1.37505 | ||||||||
\(937\) | 9.52700e15 | + | 6.92177e15i | 0.430912 | + | 0.313076i | 0.782013 | − | 0.623262i | \(-0.214193\pi\) |
−0.351101 | + | 0.936337i | \(0.614193\pi\) | |||||||
\(938\) | −1.70635e15 | + | 5.25161e15i | −0.0767279 | + | 0.236144i | ||||
\(939\) | −1.19263e16 | − | 3.67054e16i | −0.533145 | − | 1.64085i | ||||
\(940\) | 3.21666e15 | − | 2.33704e15i | 0.142956 | − | 0.103863i | ||||
\(941\) | 1.23946e15 | − | 9.00519e14i | 0.0547632 | − | 0.0397878i | −0.560067 | − | 0.828447i | \(-0.689225\pi\) |
0.614830 | + | 0.788660i | \(0.289225\pi\) | |||||||
\(942\) | −1.68875e15 | − | 5.19744e15i | −0.0741797 | − | 0.228302i | ||||
\(943\) | −1.37313e15 | + | 4.22606e15i | −0.0599649 | + | 0.184553i | ||||
\(944\) | −3.16319e16 | − | 2.29820e16i | −1.37335 | − | 0.997794i | ||||
\(945\) | −1.19744e16 | −0.516866 | ||||||||
\(946\) | 1.32505e15 | + | 1.67962e16i | 0.0568631 | + | 0.720790i | ||||
\(947\) | 3.61332e16 | 1.54164 | 0.770818 | − | 0.637056i | \(-0.219848\pi\) | ||||
0.770818 | + | 0.637056i | \(0.219848\pi\) | |||||||
\(948\) | −4.64606e16 | − | 3.37556e16i | −1.97078 | − | 1.43186i | ||||
\(949\) | 4.26599e15 | − | 1.31294e16i | 0.179910 | − | 0.553706i | ||||
\(950\) | 1.35243e16 | + | 4.16234e16i | 0.567067 | + | 1.74525i | ||||
\(951\) | −1.64227e16 | + | 1.19318e16i | −0.684623 | + | 0.497408i | ||||
\(952\) | 3.64315e16 | − | 2.64690e16i | 1.50999 | − | 1.09707i | ||||
\(953\) | −1.17489e16 | − | 3.61593e16i | −0.484156 | − | 1.49008i | −0.833199 | − | 0.552973i | \(-0.813493\pi\) |
0.349043 | − | 0.937107i | \(-0.386507\pi\) | |||||||
\(954\) | −2.60322e15 | + | 8.01188e15i | −0.106658 | + | 0.328260i | ||||
\(955\) | 1.85613e16 | + | 1.34856e16i | 0.756120 | + | 0.549353i | ||||
\(956\) | 9.13812e16 | 3.70116 | ||||||||
\(957\) | −4.53768e15 | − | 5.31093e15i | −0.182734 | − | 0.213873i | ||||
\(958\) | −2.64738e15 | −0.106000 | ||||||||
\(959\) | 8.30265e15 | + | 6.03223e15i | 0.330533 | + | 0.240146i | ||||
\(960\) | 1.01118e15 | − | 3.11209e15i | 0.0400254 | − | 0.123186i | ||||
\(961\) | 3.81733e15 | + | 1.17485e16i | 0.150238 | + | 0.462386i | ||||
\(962\) | −4.97619e16 | + | 3.61541e16i | −1.94730 | + | 1.41480i | ||||
\(963\) | 6.08707e15 | − | 4.42251e15i | 0.236845 | − | 0.172078i | ||||
\(964\) | 4.54346e14 | + | 1.39833e15i | 0.0175777 | + | 0.0540987i | ||||
\(965\) | −1.08604e15 | + | 3.34248e15i | −0.0417777 | + | 0.128578i | ||||
\(966\) | −4.37633e16 | − | 3.17959e16i | −1.67392 | − | 1.21618i | ||||
\(967\) | −2.39096e16 | −0.909342 | −0.454671 | − | 0.890660i | \(-0.650243\pi\) | ||||
−0.454671 | + | 0.890660i | \(0.650243\pi\) | |||||||
\(968\) | 5.44541e16 | + | 2.77201e16i | 2.05928 | + | 1.04829i | ||||
\(969\) | 4.55825e16 | 1.71402 | ||||||||
\(970\) | 3.85218e15 | + | 2.79877e15i | 0.144033 | + | 0.104646i | ||||
\(971\) | 5.81204e15 | − | 1.78876e16i | 0.216084 | − | 0.665039i | −0.782991 | − | 0.622033i | \(-0.786307\pi\) |
0.999075 | − | 0.0430052i | \(-0.0136932\pi\) | |||||||
\(972\) | −1.52924e16 | − | 4.70651e16i | −0.565341 | − | 1.73994i | ||||
\(973\) | −4.54918e16 | + | 3.30517e16i | −1.67229 | + | 1.21499i | ||||
\(974\) | −7.17423e15 | + | 5.21239e15i | −0.262241 | + | 0.190530i | ||||
\(975\) | −7.37780e15 | − | 2.27065e16i | −0.268164 | − | 0.825325i | ||||
\(976\) | 1.28770e16 | − | 3.96315e16i | 0.465417 | − | 1.43241i | ||||
\(977\) | −3.73173e16 | − | 2.71126e16i | −1.34119 | − | 0.974430i | −0.999399 | − | 0.0346532i | \(-0.988967\pi\) |
−0.341789 | − | 0.939777i | \(-0.611033\pi\) | |||||||
\(978\) | 6.49123e16 | 2.31987 | ||||||||
\(979\) | −2.08726e16 | − | 2.44294e16i | −0.741773 | − | 0.868176i | ||||
\(980\) | 8.71048e15 | 0.307821 | ||||||||
\(981\) | −8.23931e15 | − | 5.98621e15i | −0.289542 | − | 0.210365i | ||||
\(982\) | −1.63772e16 | + | 5.04038e16i | −0.572303 | + | 1.76137i | ||||
\(983\) | −3.72607e15 | − | 1.14677e16i | −0.129481 | − | 0.398502i | 0.865210 | − | 0.501410i | \(-0.167185\pi\) |
−0.994691 | + | 0.102908i | \(0.967185\pi\) | |||||||
\(984\) | 1.43376e16 | − | 1.04168e16i | 0.495452 | − | 0.359967i | ||||
\(985\) | 5.71331e15 | − | 4.15096e15i | 0.196331 | − | 0.142643i | ||||
\(986\) | 2.84668e15 | + | 8.76119e15i | 0.0972784 | + | 0.299392i | ||||
\(987\) | −1.33391e15 | + | 4.10535e15i | −0.0453296 | + | 0.139510i | ||||
\(988\) | 1.47225e17 | + | 1.06965e17i | 4.97527 | + | 3.61475i | ||||
\(989\) | −1.03987e16 | −0.349460 | ||||||||
\(990\) | −1.25969e15 | − | 1.59676e16i | −0.0420987 | − | 0.533639i | ||||
\(991\) | −5.34572e15 | −0.177665 | −0.0888324 | − | 0.996047i | \(-0.528314\pi\) | ||||
−0.0888324 | + | 0.996047i | \(0.528314\pi\) | |||||||
\(992\) | 3.40090e16 | + | 2.47090e16i | 1.12403 | + | 0.816658i | ||||
\(993\) | −6.26512e15 | + | 1.92820e16i | −0.205925 | + | 0.633771i | ||||
\(994\) | −1.14107e16 | − | 3.51185e16i | −0.372981 | − | 1.14792i | ||||
\(995\) | 1.80666e16 | − | 1.31262e16i | 0.587286 | − | 0.426688i | ||||
\(996\) | −9.54096e16 | + | 6.93191e16i | −3.08436 | + | 2.24092i | ||||
\(997\) | −4.85163e15 | − | 1.49318e16i | −0.155978 | − | 0.480052i | 0.842280 | − | 0.539040i | \(-0.181213\pi\) |
−0.998259 | + | 0.0589878i | \(0.981213\pi\) | |||||||
\(998\) | 2.86313e16 | − | 8.81180e16i | 0.915424 | − | 2.81739i | ||||
\(999\) | 1.66294e16 | + | 1.20819e16i | 0.528768 | + | 0.384173i |
(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 | 11.12.c.a.4.1 | yes | 40 | |
3.2 | odd | 2 | 99.12.f.a.37.10 | 40 | |||
11.3 | even | 5 | inner | 11.12.c.a.3.1 | ✓ | 40 | |
11.5 | even | 5 | 121.12.a.j.1.19 | 20 | |||
11.6 | odd | 10 | 121.12.a.h.1.2 | 20 | |||
33.14 | odd | 10 | 99.12.f.a.91.10 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.12.c.a.3.1 | ✓ | 40 | 11.3 | even | 5 | inner | |
11.12.c.a.4.1 | yes | 40 | 1.1 | even | 1 | trivial | |
99.12.f.a.37.10 | 40 | 3.2 | odd | 2 | |||
99.12.f.a.91.10 | 40 | 33.14 | odd | 10 | |||
121.12.a.h.1.2 | 20 | 11.6 | odd | 10 | |||
121.12.a.j.1.19 | 20 | 11.5 | even | 5 |