Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,10,Mod(4,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.e (of order \(14\), degree \(6\), 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: | \(14.9360392488\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 4.4 | ||
Character | \(\chi\) | \(=\) | 29.4 |
Dual form | 29.10.e.a.22.4 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −31.7893 | − | 7.25570i | −1.40490 | − | 0.320660i | −0.548146 | − | 0.836383i | \(-0.684666\pi\) |
−0.856755 | + | 0.515723i | \(0.827523\pi\) | |||||||
\(3\) | 38.8499 | + | 80.6726i | 0.276914 | + | 0.575017i | 0.992321 | − | 0.123691i | \(-0.0394731\pi\) |
−0.715407 | + | 0.698708i | \(0.753759\pi\) | |||||||
\(4\) | 496.618 | + | 239.158i | 0.969956 | + | 0.467106i | ||||
\(5\) | 230.482 | − | 1009.81i | 0.164919 | − | 0.722559i | −0.823058 | − | 0.567958i | \(-0.807734\pi\) |
0.987977 | − | 0.154601i | \(-0.0494092\pi\) | |||||||
\(6\) | −649.674 | − | 2846.41i | −0.204652 | − | 0.896637i | ||||
\(7\) | −5320.98 | + | 2562.45i | −0.837626 | + | 0.403380i | −0.802970 | − | 0.596020i | \(-0.796748\pi\) |
−0.0346566 | + | 0.999399i | \(0.511034\pi\) | |||||||
\(8\) | −999.429 | − | 797.018i | −0.0862675 | − | 0.0687960i | ||||
\(9\) | 7273.39 | − | 9120.54i | 0.369526 | − | 0.463371i | ||||
\(10\) | −14653.7 | + | 30428.7i | −0.463391 | + | 0.962241i | ||||
\(11\) | −69837.1 | + | 55693.2i | −1.43820 | + | 1.14693i | −0.474395 | + | 0.880312i | \(0.657333\pi\) |
−0.963804 | + | 0.266613i | \(0.914096\pi\) | |||||||
\(12\) | 49354.7i | 0.687089i | ||||||||
\(13\) | 54680.3 | + | 68567.0i | 0.530990 | + | 0.665840i | 0.972902 | − | 0.231218i | \(-0.0742712\pi\) |
−0.441912 | + | 0.897058i | \(0.645700\pi\) | |||||||
\(14\) | 187742. | − | 42851.0i | 1.30613 | − | 0.298116i | ||||
\(15\) | 90418.0 | − | 20637.3i | 0.461152 | − | 0.105255i | ||||
\(16\) | −149971. | − | 188058.i | −0.572093 | − | 0.717382i | ||||
\(17\) | − | 135801.i | − | 0.394351i | −0.980368 | − | 0.197175i | \(-0.936823\pi\) | ||
0.980368 | − | 0.197175i | \(-0.0631769\pi\) | |||||||
\(18\) | −297392. | + | 237162.i | −0.667733 | + | 0.532499i | ||||
\(19\) | 416661. | − | 865206.i | 0.733486 | − | 1.52310i | −0.114700 | − | 0.993400i | \(-0.536591\pi\) |
0.848186 | − | 0.529699i | \(-0.177695\pi\) | |||||||
\(20\) | 355965. | − | 446366.i | 0.497476 | − | 0.623816i | ||||
\(21\) | −413439. | − | 329707.i | −0.463900 | − | 0.369948i | ||||
\(22\) | 2.62416e6 | − | 1.26373e6i | 2.38830 | − | 1.15014i | ||||
\(23\) | −101489. | − | 444653.i | −0.0756214 | − | 0.331319i | 0.922940 | − | 0.384944i | \(-0.125779\pi\) |
−0.998561 | + | 0.0536256i | \(0.982922\pi\) | |||||||
\(24\) | 25469.8 | − | 111591.i | 0.0156702 | − | 0.0686558i | ||||
\(25\) | 793118. | + | 381945.i | 0.406076 | + | 0.195556i | ||||
\(26\) | −1.24075e6 | − | 2.57644e6i | −0.532480 | − | 1.10571i | ||||
\(27\) | 2.73657e6 | + | 624605.i | 0.990993 | + | 0.226188i | ||||
\(28\) | −3.25532e6 | −1.00088 | ||||||||
\(29\) | 1.15337e6 | − | 3.63000e6i | 0.302816 | − | 0.953049i | ||||
\(30\) | −3.02406e6 | −0.681624 | ||||||||
\(31\) | 6.42736e6 | + | 1.46700e6i | 1.24999 | + | 0.285301i | 0.795774 | − | 0.605593i | \(-0.207064\pi\) |
0.454211 | + | 0.890894i | \(0.349921\pi\) | |||||||
\(32\) | 3.68695e6 | + | 7.65604e6i | 0.621574 | + | 1.29071i | ||||
\(33\) | −7.20608e6 | − | 3.47027e6i | −1.05776 | − | 0.509389i | ||||
\(34\) | −985331. | + | 4.31702e6i | −0.126452 | + | 0.554024i | ||||
\(35\) | 1.36119e6 | + | 5.96376e6i | 0.153325 | + | 0.671759i | ||||
\(36\) | 5.79335e6 | − | 2.78993e6i | 0.574868 | − | 0.276842i | ||||
\(37\) | −6.16924e6 | − | 4.91981e6i | −0.541158 | − | 0.431559i | 0.314381 | − | 0.949297i | \(-0.398203\pi\) |
−0.855539 | + | 0.517738i | \(0.826774\pi\) | |||||||
\(38\) | −1.95230e7 | + | 2.44811e7i | −1.51887 | + | 1.90460i | ||||
\(39\) | −3.40715e6 | + | 7.07503e6i | −0.235831 | + | 0.489708i | ||||
\(40\) | −1.03518e6 | + | 825532.i | −0.0639363 | + | 0.0509875i | ||||
\(41\) | − | 2.04942e7i | − | 1.13267i | −0.824175 | − | 0.566335i | \(-0.808361\pi\) | ||
0.824175 | − | 0.566335i | \(-0.191639\pi\) | |||||||
\(42\) | 1.07507e7 | + | 1.34809e7i | 0.533107 | + | 0.668495i | ||||
\(43\) | 2.10519e7 | − | 4.80495e6i | 0.939036 | − | 0.214329i | 0.274502 | − | 0.961587i | \(-0.411487\pi\) |
0.664534 | + | 0.747258i | \(0.268630\pi\) | |||||||
\(44\) | −4.80018e7 | + | 1.09561e7i | −1.93073 | + | 0.440676i | ||||
\(45\) | −7.53360e6 | − | 9.44683e6i | −0.273871 | − | 0.343423i | ||||
\(46\) | 1.48716e7i | 0.489719i | ||||||||
\(47\) | 3.22645e7 | − | 2.57300e7i | 0.964459 | − | 0.769131i | −0.00853400 | − | 0.999964i | \(-0.502716\pi\) |
0.972993 | + | 0.230833i | \(0.0741451\pi\) | |||||||
\(48\) | 9.34474e6 | − | 1.94046e7i | 0.254087 | − | 0.527616i | ||||
\(49\) | −3.41339e6 | + | 4.28025e6i | −0.0845869 | + | 0.106069i | ||||
\(50\) | −2.24414e7 | − | 1.78964e7i | −0.507790 | − | 0.404949i | ||||
\(51\) | 1.09554e7 | − | 5.27586e6i | 0.226758 | − | 0.109201i | ||||
\(52\) | 1.07568e7 | + | 4.71288e7i | 0.204019 | + | 0.893864i | ||||
\(53\) | 1.19566e7 | − | 5.23855e7i | 0.208146 | − | 0.911947i | −0.757654 | − | 0.652657i | \(-0.773654\pi\) |
0.965799 | − | 0.259290i | \(-0.0834886\pi\) | |||||||
\(54\) | −8.24618e7 | − | 3.97115e7i | −1.31972 | − | 0.635542i | ||||
\(55\) | 4.01432e7 | + | 8.33582e7i | 0.591534 | + | 1.22833i | ||||
\(56\) | 7.36026e6 | + | 1.67993e6i | 0.100011 | + | 0.0228268i | ||||
\(57\) | 8.59857e7 | 1.07892 | ||||||||
\(58\) | −6.30030e7 | + | 1.07027e8i | −0.731031 | + | 1.24184i | ||||
\(59\) | −1.35055e7 | −0.145104 | −0.0725518 | − | 0.997365i | \(-0.523114\pi\) | ||||
−0.0725518 | + | 0.997365i | \(0.523114\pi\) | |||||||
\(60\) | 4.98387e7 | + | 1.13754e7i | 0.496462 | + | 0.113314i | ||||
\(61\) | 3.80307e7 | + | 7.89715e7i | 0.351682 | + | 0.730275i | 0.999503 | − | 0.0315176i | \(-0.0100340\pi\) |
−0.647821 | + | 0.761792i | \(0.724320\pi\) | |||||||
\(62\) | −1.93677e8 | − | 9.32700e7i | −1.66462 | − | 0.801640i | ||||
\(63\) | −1.53306e7 | + | 6.71679e7i | −0.122610 | + | 0.537192i | ||||
\(64\) | −3.42515e7 | − | 1.50066e8i | −0.255193 | − | 1.11808i | ||||
\(65\) | 8.18422e7 | − | 3.94131e7i | 0.568679 | − | 0.273861i | ||||
\(66\) | 2.03897e8 | + | 1.62602e8i | 1.32271 | + | 1.05482i | ||||
\(67\) | 3.75293e6 | − | 4.70602e6i | 0.0227527 | − | 0.0285310i | −0.770325 | − | 0.637652i | \(-0.779906\pi\) |
0.793078 | + | 0.609120i | \(0.208477\pi\) | |||||||
\(68\) | 3.24780e7 | − | 6.74412e7i | 0.184204 | − | 0.382503i | ||||
\(69\) | 3.19285e7 | − | 2.54621e7i | 0.169573 | − | 0.135230i | ||||
\(70\) | − | 1.99460e8i | − | 0.992921i | ||||||
\(71\) | −2.29445e8 | − | 2.87715e8i | −1.07156 | − | 1.34369i | −0.935634 | − | 0.352972i | \(-0.885171\pi\) |
−0.135924 | − | 0.990719i | \(-0.543400\pi\) | |||||||
\(72\) | −1.45385e7 | + | 3.31831e6i | −0.0637562 | + | 0.0145519i | ||||
\(73\) | −2.00211e8 | + | 4.56969e7i | −0.825154 | + | 0.188336i | −0.614190 | − | 0.789158i | \(-0.710517\pi\) |
−0.210964 | + | 0.977494i | \(0.567660\pi\) | |||||||
\(74\) | 1.60419e8 | + | 2.01159e8i | 0.621890 | + | 0.779826i | ||||
\(75\) | 7.88214e7i | 0.287653i | ||||||||
\(76\) | 4.13843e8 | − | 3.30028e8i | 1.42290 | − | 1.13472i | ||||
\(77\) | 2.28891e8 | − | 4.75296e8i | 0.742027 | − | 1.54083i | ||||
\(78\) | 1.59645e8 | − | 2.00189e8i | 0.488349 | − | 0.612370i | ||||
\(79\) | 2.12177e8 | + | 1.69206e8i | 0.612882 | + | 0.488757i | 0.880042 | − | 0.474895i | \(-0.157514\pi\) |
−0.267161 | + | 0.963652i | \(0.586085\pi\) | |||||||
\(80\) | −2.24467e8 | + | 1.08098e8i | −0.612700 | + | 0.295061i | ||||
\(81\) | 4.83313e6 | + | 2.11753e7i | 0.0124751 | + | 0.0546572i | ||||
\(82\) | −1.48700e8 | + | 6.51496e8i | −0.363201 | + | 1.59129i | ||||
\(83\) | 4.42598e8 | + | 2.13144e8i | 1.02366 | + | 0.492971i | 0.868904 | − | 0.494981i | \(-0.164825\pi\) |
0.154761 | + | 0.987952i | \(0.450539\pi\) | |||||||
\(84\) | −1.26469e8 | − | 2.62616e8i | −0.277158 | − | 0.575524i | ||||
\(85\) | −1.37133e8 | − | 3.12997e7i | −0.284942 | − | 0.0650361i | ||||
\(86\) | −7.04087e8 | −1.38798 | ||||||||
\(87\) | 3.37650e8 | − | 4.79794e7i | 0.631873 | − | 0.0897880i | ||||
\(88\) | 1.14186e8 | 0.202974 | ||||||||
\(89\) | −1.85049e8 | − | 4.22361e7i | −0.312630 | − | 0.0713557i | 0.0633271 | − | 0.997993i | \(-0.479829\pi\) |
−0.375957 | + | 0.926637i | \(0.622686\pi\) | |||||||
\(90\) | 1.70944e8 | + | 3.54970e8i | 0.274640 | + | 0.570295i | ||||
\(91\) | −4.66652e8 | − | 2.24728e8i | −0.713357 | − | 0.343535i | ||||
\(92\) | 5.59412e7 | − | 2.45095e8i | 0.0814117 | − | 0.356688i | ||||
\(93\) | 1.31355e8 | + | 5.75505e8i | 0.182085 | + | 0.797767i | ||||
\(94\) | −1.21235e9 | + | 5.83839e8i | −1.60160 | + | 0.771290i | ||||
\(95\) | −7.77658e8 | − | 6.20161e8i | −0.979563 | − | 0.781175i | ||||
\(96\) | −4.74395e8 | + | 5.94873e8i | −0.570059 | + | 0.714831i | ||||
\(97\) | 3.48171e8 | − | 7.22985e8i | 0.399319 | − | 0.829194i | −0.600249 | − | 0.799813i | \(-0.704932\pi\) |
0.999568 | − | 0.0293815i | \(-0.00935376\pi\) | |||||||
\(98\) | 1.39565e8 | − | 1.11300e8i | 0.152848 | − | 0.121892i | ||||
\(99\) | 1.04203e9i | 1.09024i | ||||||||
\(100\) | 3.02531e8 | + | 3.79362e8i | 0.302531 | + | 0.379362i | ||||
\(101\) | 5.43093e8 | − | 1.23958e8i | 0.519312 | − | 0.118530i | 0.0451723 | − | 0.998979i | \(-0.485616\pi\) |
0.474140 | + | 0.880450i | \(0.342759\pi\) | |||||||
\(102\) | −3.86545e8 | + | 8.82264e7i | −0.353590 | + | 0.0807045i | ||||
\(103\) | 8.76016e8 | + | 1.09849e9i | 0.766910 | + | 0.961675i | 0.999942 | − | 0.0107941i | \(-0.00343594\pi\) |
−0.233031 | + | 0.972469i | \(0.574865\pi\) | |||||||
\(104\) | − | 1.12109e8i | − | 0.0939703i | ||||||
\(105\) | −4.28230e8 | + | 3.41502e8i | −0.343815 | + | 0.274184i | ||||
\(106\) | −7.60187e8 | + | 1.57854e9i | −0.584849 | + | 1.21445i | ||||
\(107\) | −6.55813e8 | + | 8.22363e8i | −0.483674 | + | 0.606508i | −0.962460 | − | 0.271424i | \(-0.912506\pi\) |
0.478786 | + | 0.877932i | \(0.341077\pi\) | |||||||
\(108\) | 1.20965e9 | + | 9.64665e8i | 0.855566 | + | 0.682291i | ||||
\(109\) | −4.30825e8 | + | 2.07474e8i | −0.292335 | + | 0.140781i | −0.574303 | − | 0.818642i | \(-0.694727\pi\) |
0.281968 | + | 0.959424i | \(0.409013\pi\) | |||||||
\(110\) | −6.71301e8 | − | 2.94116e9i | −0.437170 | − | 1.91537i | ||||
\(111\) | 1.57219e8 | − | 6.88823e8i | 0.0982998 | − | 0.430680i | ||||
\(112\) | 1.27988e9 | + | 6.16358e8i | 0.768578 | + | 0.370128i | ||||
\(113\) | 1.16552e8 | + | 2.42023e8i | 0.0672461 | + | 0.139638i | 0.931883 | − | 0.362760i | \(-0.118166\pi\) |
−0.864637 | + | 0.502398i | \(0.832451\pi\) | |||||||
\(114\) | −2.73342e9 | − | 6.23886e8i | −1.51578 | − | 0.345966i | ||||
\(115\) | −4.72405e8 | −0.251869 | ||||||||
\(116\) | 1.44093e9 | − | 1.52688e9i | 0.738893 | − | 0.782969i | ||||
\(117\) | 1.02308e9 | 0.504746 | ||||||||
\(118\) | 4.29331e8 | + | 9.79921e7i | 0.203856 | + | 0.0465288i | ||||
\(119\) | 3.47983e8 | + | 7.22594e8i | 0.159073 | + | 0.330319i | ||||
\(120\) | −1.06815e8 | − | 5.14392e7i | −0.0470235 | − | 0.0226453i | ||||
\(121\) | 1.25079e9 | − | 5.48007e9i | 0.530457 | − | 2.32408i | ||||
\(122\) | −6.35975e8 | − | 2.78639e9i | −0.259909 | − | 1.13873i | ||||
\(123\) | 1.65332e9 | − | 7.96197e8i | 0.651304 | − | 0.313652i | ||||
\(124\) | 2.84109e9 | + | 2.26570e9i | 1.07917 | + | 0.860606i | ||||
\(125\) | 1.82981e9 | − | 2.29451e9i | 0.670364 | − | 0.840610i | ||||
\(126\) | 9.74700e8 | − | 2.02398e9i | 0.344511 | − | 0.715385i | ||||
\(127\) | 4.03612e9 | − | 3.21870e9i | 1.37672 | − | 1.09790i | 0.392739 | − | 0.919650i | \(-0.371528\pi\) |
0.983985 | − | 0.178251i | \(-0.0570439\pi\) | |||||||
\(128\) | 6.68242e8i | 0.220034i | ||||||||
\(129\) | 1.20549e9 | + | 1.51164e9i | 0.383275 | + | 0.480611i | ||||
\(130\) | −2.88767e9 | + | 6.59093e8i | −0.886754 | + | 0.202396i | ||||
\(131\) | −4.42080e9 | + | 1.00902e9i | −1.31154 | + | 0.299349i | −0.820428 | − | 0.571750i | \(-0.806265\pi\) |
−0.491107 | + | 0.871099i | \(0.663408\pi\) | |||||||
\(132\) | −2.74872e9 | − | 3.44679e9i | −0.788040 | − | 0.988171i | ||||
\(133\) | 5.67141e9i | 1.57166i | ||||||||
\(134\) | −1.53448e8 | + | 1.22371e8i | −0.0411141 | + | 0.0327874i | ||||
\(135\) | 1.26146e9 | − | 2.61945e9i | 0.326868 | − | 0.678748i | ||||
\(136\) | −1.08236e8 | + | 1.35724e8i | −0.0271298 | + | 0.0340197i | ||||
\(137\) | −2.41724e9 | − | 1.92768e9i | −0.586241 | − | 0.467512i | 0.284891 | − | 0.958560i | \(-0.408043\pi\) |
−0.871132 | + | 0.491048i | \(0.836614\pi\) | |||||||
\(138\) | −1.19973e9 | + | 5.77760e8i | −0.281597 | + | 0.135610i | ||||
\(139\) | 5.39402e8 | + | 2.36328e9i | 0.122559 | + | 0.536967i | 0.998510 | + | 0.0545668i | \(0.0173778\pi\) |
−0.875951 | + | 0.482400i | \(0.839765\pi\) | |||||||
\(140\) | −7.50293e8 | + | 3.28725e9i | −0.165065 | + | 0.723196i | ||||
\(141\) | 3.32918e9 | + | 1.60325e9i | 0.709335 | + | 0.341598i | ||||
\(142\) | 5.20632e9 | + | 1.08110e10i | 1.07457 | + | 2.23136i | ||||
\(143\) | −7.63743e9 | − | 1.74319e9i | −1.52734 | − | 0.348605i | ||||
\(144\) | −2.80598e9 | −0.543818 | ||||||||
\(145\) | −3.39976e9 | − | 2.00133e9i | −0.638694 | − | 0.375978i | ||||
\(146\) | 6.69613e9 | 1.21965 | ||||||||
\(147\) | −4.77909e8 | − | 1.09080e8i | −0.0844145 | − | 0.0192671i | ||||
\(148\) | −1.88714e9 | − | 3.91869e9i | −0.323316 | − | 0.671372i | ||||
\(149\) | 2.32330e9 | + | 1.11884e9i | 0.386159 | + | 0.185965i | 0.616883 | − | 0.787055i | \(-0.288395\pi\) |
−0.230724 | + | 0.973019i | \(0.574109\pi\) | |||||||
\(150\) | 5.71905e8 | − | 2.50568e9i | 0.0922386 | − | 0.404124i | ||||
\(151\) | 2.49168e9 | + | 1.09167e10i | 0.390028 | + | 1.70882i | 0.664552 | + | 0.747242i | \(0.268622\pi\) |
−0.274524 | + | 0.961580i | \(0.588520\pi\) | |||||||
\(152\) | −1.10601e9 | + | 5.32625e8i | −0.168059 | + | 0.0809330i | ||||
\(153\) | −1.23858e9 | − | 9.87733e8i | −0.182731 | − | 0.145723i | ||||
\(154\) | −1.07249e10 | + | 1.34486e10i | −1.53656 | + | 1.92678i | ||||
\(155\) | 2.96278e9 | − | 6.15227e9i | 0.412293 | − | 0.856136i | ||||
\(156\) | −3.38410e9 | + | 2.69873e9i | −0.457492 | + | 0.364837i | ||||
\(157\) | 1.17167e9i | 0.153906i | 0.997035 | + | 0.0769531i | \(0.0245192\pi\) | ||||
−0.997035 | + | 0.0769531i | \(0.975481\pi\) | |||||||
\(158\) | −5.51725e9 | − | 6.91842e9i | −0.704314 | − | 0.883181i | ||||
\(159\) | 4.69059e9 | − | 1.07060e9i | 0.582024 | − | 0.132843i | ||||
\(160\) | 8.58089e9 | − | 1.95853e9i | 1.03512 | − | 0.236260i | ||||
\(161\) | 1.67942e9 | + | 2.10593e9i | 0.196990 | + | 0.247017i | ||||
\(162\) | − | 7.08216e8i | − | 0.0807882i | ||||||
\(163\) | 5.17280e9 | − | 4.12517e9i | 0.573959 | − | 0.457717i | −0.292989 | − | 0.956116i | \(-0.594650\pi\) |
0.866948 | + | 0.498399i | \(0.166078\pi\) | |||||||
\(164\) | 4.90136e9 | − | 1.01778e10i | 0.529077 | − | 1.09864i | ||||
\(165\) | −5.16517e9 | + | 6.47691e9i | −0.542508 | + | 0.680284i | ||||
\(166\) | −1.25234e10 | − | 9.98704e9i | −1.28007 | − | 1.02082i | ||||
\(167\) | −3.69605e9 | + | 1.77993e9i | −0.367717 | + | 0.177083i | −0.608612 | − | 0.793468i | \(-0.708273\pi\) |
0.240895 | + | 0.970551i | \(0.422559\pi\) | |||||||
\(168\) | 1.50421e8 | + | 6.59037e8i | 0.0145685 | + | 0.0638290i | ||||
\(169\) | 6.48233e8 | − | 2.84010e9i | 0.0611281 | − | 0.267820i | ||||
\(170\) | 4.13225e9 | + | 1.98999e9i | 0.379461 | + | 0.182739i | ||||
\(171\) | −4.86061e9 | − | 1.00932e10i | −0.434718 | − | 0.902702i | ||||
\(172\) | 1.16039e10 | + | 2.64851e9i | 1.01094 | + | 0.230740i | ||||
\(173\) | −1.52814e10 | −1.29705 | −0.648524 | − | 0.761194i | \(-0.724613\pi\) | ||||
−0.648524 | + | 0.761194i | \(0.724613\pi\) | |||||||
\(174\) | −1.10818e10 | − | 9.24654e8i | −0.916511 | − | 0.0764729i | ||||
\(175\) | −5.19888e9 | −0.419024 | ||||||||
\(176\) | 2.09470e10 | + | 4.78103e9i | 1.64557 | + | 0.375590i | ||||
\(177\) | −5.24689e8 | − | 1.08953e9i | −0.0401811 | − | 0.0834370i | ||||
\(178\) | 5.57611e9 | + | 2.68531e9i | 0.416333 | + | 0.200496i | ||||
\(179\) | −2.73408e9 | + | 1.19788e10i | −0.199055 | + | 0.872117i | 0.772446 | + | 0.635081i | \(0.219033\pi\) |
−0.971501 | + | 0.237036i | \(0.923824\pi\) | |||||||
\(180\) | −1.48203e9 | − | 6.49319e9i | −0.105228 | − | 0.461033i | ||||
\(181\) | −1.04660e10 | + | 5.04014e9i | −0.724812 | + | 0.349051i | −0.759641 | − | 0.650342i | \(-0.774625\pi\) |
0.0348294 | + | 0.999393i | \(0.488911\pi\) | |||||||
\(182\) | 1.32040e10 | + | 1.05298e10i | 0.892039 | + | 0.711377i | ||||
\(183\) | −4.89335e9 | + | 6.13607e9i | −0.322535 | + | 0.404446i | ||||
\(184\) | −2.52965e8 | + | 5.25288e8i | −0.0162698 | + | 0.0337845i | ||||
\(185\) | −6.38995e9 | + | 5.09582e9i | −0.401074 | + | 0.319846i | ||||
\(186\) | − | 1.92480e10i | − | 1.17917i | ||||||
\(187\) | 7.56319e9 | + | 9.48394e9i | 0.452291 | + | 0.567155i | ||||
\(188\) | 2.21767e10 | − | 5.06168e9i | 1.29475 | − | 0.295518i | ||||
\(189\) | −1.61618e10 | + | 3.68882e9i | −0.921321 | + | 0.210286i | ||||
\(190\) | 2.02215e10 | + | 2.53569e10i | 1.12570 | + | 1.41158i | ||||
\(191\) | 4.66252e8i | 0.0253496i | 0.999920 | + | 0.0126748i | \(0.00403462\pi\) | ||||
−0.999920 | + | 0.0126748i | \(0.995965\pi\) | |||||||
\(192\) | 1.07755e10 | − | 8.59319e9i | 0.572246 | − | 0.456351i | ||||
\(193\) | 9.33632e9 | − | 1.93871e10i | 0.484360 | − | 1.00578i | −0.505380 | − | 0.862897i | \(-0.668648\pi\) |
0.989739 | − | 0.142886i | \(-0.0456382\pi\) | |||||||
\(194\) | −1.63139e10 | + | 2.04569e10i | −0.826893 | + | 1.03689i | ||||
\(195\) | 6.35912e9 | + | 5.07123e9i | 0.314950 | + | 0.251164i | ||||
\(196\) | −2.71881e9 | + | 1.30931e9i | −0.131591 | + | 0.0633708i | ||||
\(197\) | −6.71233e9 | − | 2.94086e10i | −0.317523 | − | 1.39116i | −0.841882 | − | 0.539662i | \(-0.818552\pi\) |
0.524359 | − | 0.851497i | \(-0.324305\pi\) | |||||||
\(198\) | 7.56065e9 | − | 3.31254e10i | 0.349596 | − | 1.53168i | ||||
\(199\) | −1.09433e10 | − | 5.27004e9i | −0.494665 | − | 0.238218i | 0.169882 | − | 0.985464i | \(-0.445661\pi\) |
−0.664547 | + | 0.747246i | \(0.731376\pi\) | |||||||
\(200\) | −4.88248e8 | − | 1.01386e9i | −0.0215777 | − | 0.0448066i | ||||
\(201\) | 5.25448e8 | + | 1.19930e8i | 0.0227064 | + | 0.00518258i | ||||
\(202\) | −1.81640e10 | −0.767590 | ||||||||
\(203\) | 3.16461e9 | + | 2.22706e10i | 0.130794 | + | 0.920449i | ||||
\(204\) | 6.70242e9 | 0.270954 | ||||||||
\(205\) | −2.06952e10 | − | 4.72354e9i | −0.818420 | − | 0.186799i | ||||
\(206\) | −1.98776e10 | − | 4.12763e10i | −0.769063 | − | 1.59698i | ||||
\(207\) | −4.79365e9 | − | 2.30850e9i | −0.181468 | − | 0.0873903i | ||||
\(208\) | 4.69408e9 | − | 2.05661e10i | 0.173886 | − | 0.761845i | ||||
\(209\) | 1.90877e10 | + | 8.36286e10i | 0.691982 | + | 3.03177i | ||||
\(210\) | 1.60910e10 | − | 7.74900e9i | 0.570946 | − | 0.274953i | ||||
\(211\) | 2.32753e10 | + | 1.85614e10i | 0.808395 | + | 0.644674i | 0.937900 | − | 0.346905i | \(-0.112767\pi\) |
−0.129505 | + | 0.991579i | \(0.541339\pi\) | |||||||
\(212\) | 1.84663e10 | − | 2.31560e10i | 0.627869 | − | 0.787323i | ||||
\(213\) | 1.42968e10 | − | 2.96876e10i | 0.475916 | − | 0.988251i | ||||
\(214\) | 2.68146e10 | − | 2.13840e10i | 0.873997 | − | 0.696989i | ||||
\(215\) | − | 2.23658e10i | − | 0.713856i | ||||||
\(216\) | −2.23719e9 | − | 2.80535e9i | −0.0699296 | − | 0.0876890i | ||||
\(217\) | −3.79590e10 | + | 8.66389e9i | −1.16211 | + | 0.265243i | ||||
\(218\) | 1.52010e10 | − | 3.46952e9i | 0.455845 | − | 0.104044i | ||||
\(219\) | −1.14647e10 | − | 1.43762e10i | −0.336793 | − | 0.422325i | ||||
\(220\) | 5.09977e10i | 1.46774i | ||||||||
\(221\) | 9.31146e9 | − | 7.42564e9i | 0.262575 | − | 0.209396i | ||||
\(222\) | −9.99579e9 | + | 2.07565e10i | −0.276203 | + | 0.573542i | ||||
\(223\) | −3.05961e10 | + | 3.83663e10i | −0.828503 | + | 1.03891i | 0.170066 | + | 0.985433i | \(0.445602\pi\) |
−0.998569 | + | 0.0534768i | \(0.982970\pi\) | |||||||
\(224\) | −3.92364e10 | − | 3.12900e10i | −1.04129 | − | 0.830404i | ||||
\(225\) | 9.25220e9 | − | 4.45562e9i | 0.240671 | − | 0.115901i | ||||
\(226\) | −1.94906e9 | − | 8.53940e9i | −0.0496979 | − | 0.217741i | ||||
\(227\) | 7.35510e9 | − | 3.22248e10i | 0.183854 | − | 0.805515i | −0.795919 | − | 0.605403i | \(-0.793012\pi\) |
0.979773 | − | 0.200112i | \(-0.0641307\pi\) | |||||||
\(228\) | 4.27020e10 | + | 2.05642e10i | 1.04651 | + | 0.503970i | ||||
\(229\) | −1.41674e10 | − | 2.94189e10i | −0.340432 | − | 0.706914i | 0.658526 | − | 0.752558i | \(-0.271180\pi\) |
−0.998958 | + | 0.0456439i | \(0.985466\pi\) | |||||||
\(230\) | 1.50174e10 | + | 3.42763e9i | 0.353851 | + | 0.0807641i | ||||
\(231\) | 4.72358e10 | 1.09148 | ||||||||
\(232\) | −4.04589e9 | + | 2.70867e9i | −0.0916891 | + | 0.0613846i | ||||
\(233\) | 5.71567e10 | 1.27047 | 0.635237 | − | 0.772318i | \(-0.280903\pi\) | ||||
0.635237 | + | 0.772318i | \(0.280903\pi\) | |||||||
\(234\) | −3.25229e10 | − | 7.42315e9i | −0.709118 | − | 0.161852i | ||||
\(235\) | −1.85460e10 | − | 3.85112e10i | −0.396684 | − | 0.823723i | ||||
\(236\) | −6.70709e9 | − | 3.22996e9i | −0.140744 | − | 0.0677788i | ||||
\(237\) | −5.40720e9 | + | 2.36905e10i | −0.111328 | + | 0.487761i | ||||
\(238\) | −5.81921e9 | − | 2.54956e10i | −0.117562 | − | 0.515074i | ||||
\(239\) | −6.04577e10 | + | 2.91149e10i | −1.19856 | + | 0.577197i | −0.923266 | − | 0.384162i | \(-0.874490\pi\) |
−0.275297 | + | 0.961359i | \(0.588776\pi\) | |||||||
\(240\) | −1.74411e10 | − | 1.39088e10i | −0.339330 | − | 0.270607i | ||||
\(241\) | −3.65064e10 | + | 4.57776e10i | −0.697096 | + | 0.874131i | −0.996803 | − | 0.0799001i | \(-0.974540\pi\) |
0.299706 | + | 0.954031i | \(0.403111\pi\) | |||||||
\(242\) | −7.95234e10 | + | 1.65132e11i | −1.49048 | + | 3.09501i | ||||
\(243\) | 4.16751e10 | − | 3.32348e10i | 0.766740 | − | 0.611455i | ||||
\(244\) | 4.83140e10i | 0.872607i | ||||||||
\(245\) | 3.53550e9 | + | 4.43338e9i | 0.0626908 | + | 0.0786117i | ||||
\(246\) | −5.83348e10 | + | 1.33145e10i | −1.01559 | + | 0.231803i | ||||
\(247\) | 8.21077e10 | − | 1.87405e10i | 1.40361 | − | 0.320366i | ||||
\(248\) | −5.25446e9 | − | 6.58889e9i | −0.0882055 | − | 0.110606i | ||||
\(249\) | 4.39861e10i | 0.725135i | ||||||||
\(250\) | −7.48166e10 | + | 5.96642e10i | −1.21135 | + | 0.966015i | ||||
\(251\) | 3.56086e10 | − | 7.39421e10i | 0.566270 | − | 1.17587i | −0.399563 | − | 0.916706i | \(-0.630838\pi\) |
0.965833 | − | 0.259166i | \(-0.0834475\pi\) | |||||||
\(252\) | −2.36772e10 | + | 2.96903e10i | −0.369852 | + | 0.463780i | ||||
\(253\) | 3.18519e10 | + | 2.54010e10i | 0.488756 | + | 0.389770i | ||||
\(254\) | −1.51659e11 | + | 7.30352e10i | −2.28621 | + | 1.10098i | ||||
\(255\) | −2.80257e9 | − | 1.22788e10i | −0.0415074 | − | 0.181856i | ||||
\(256\) | −1.26882e10 | + | 5.55906e10i | −0.184638 | + | 0.808950i | ||||
\(257\) | 1.93558e10 | + | 9.32127e9i | 0.276766 | + | 0.133283i | 0.567118 | − | 0.823636i | \(-0.308058\pi\) |
−0.290352 | + | 0.956920i | \(0.593773\pi\) | |||||||
\(258\) | −2.73537e10 | − | 5.68006e10i | −0.384351 | − | 0.798112i | ||||
\(259\) | 4.54332e10 | + | 1.03698e10i | 0.627371 | + | 0.143193i | ||||
\(260\) | 5.00702e10 | 0.679516 | ||||||||
\(261\) | −2.47186e10 | − | 3.69218e10i | −0.329717 | − | 0.492493i | ||||
\(262\) | 1.47855e11 | 1.93857 | ||||||||
\(263\) | 1.26261e11 | + | 2.88183e10i | 1.62731 | + | 0.371422i | 0.936237 | − | 0.351368i | \(-0.114283\pi\) |
0.691068 | + | 0.722790i | \(0.257141\pi\) | |||||||
\(264\) | 4.43610e9 | + | 9.21166e9i | 0.0562062 | + | 0.116713i | ||||
\(265\) | −5.01434e10 | − | 2.41478e10i | −0.624608 | − | 0.300795i | ||||
\(266\) | 4.11501e10 | − | 1.80290e11i | 0.503968 | − | 2.20803i | ||||
\(267\) | −3.78182e9 | − | 1.65692e10i | −0.0455407 | − | 0.199527i | ||||
\(268\) | 2.98925e9 | − | 1.43955e9i | 0.0353962 | − | 0.0170459i | ||||
\(269\) | −1.00738e11 | − | 8.03359e10i | −1.17303 | − | 0.935458i | −0.174240 | − | 0.984703i | \(-0.555747\pi\) |
−0.998787 | + | 0.0492455i | \(0.984318\pi\) | |||||||
\(270\) | −5.91069e10 | + | 7.41177e10i | −0.676864 | + | 0.848760i | ||||
\(271\) | 1.23127e10 | − | 2.55676e10i | 0.138673 | − | 0.287957i | −0.820054 | − | 0.572286i | \(-0.806057\pi\) |
0.958727 | + | 0.284329i | \(0.0917709\pi\) | |||||||
\(272\) | −2.55384e10 | + | 2.03662e10i | −0.282900 | + | 0.225606i | ||||
\(273\) | − | 4.63767e10i | − | 0.505322i | ||||||
\(274\) | 6.28555e10 | + | 7.88183e10i | 0.673699 | + | 0.844792i | ||||
\(275\) | −7.66608e10 | + | 1.74973e10i | −0.808306 | + | 0.184491i | ||||
\(276\) | 2.19457e10 | − | 5.00897e9i | 0.227646 | − | 0.0519586i | ||||
\(277\) | −6.62879e10 | − | 8.31224e10i | −0.676512 | − | 0.848319i | 0.318516 | − | 0.947918i | \(-0.396816\pi\) |
−0.995028 | + | 0.0995985i | \(0.968244\pi\) | |||||||
\(278\) | − | 7.90406e10i | − | 0.793686i | ||||||
\(279\) | 6.01285e10 | − | 4.79509e10i | 0.594103 | − | 0.473781i | ||||
\(280\) | 3.39281e9 | − | 7.04524e9i | 0.0329874 | − | 0.0684991i | ||||
\(281\) | 5.70289e10 | − | 7.15120e10i | 0.545653 | − | 0.684228i | −0.430180 | − | 0.902743i | \(-0.641550\pi\) |
0.975833 | + | 0.218515i | \(0.0701214\pi\) | |||||||
\(282\) | −9.41996e10 | − | 7.51217e10i | −0.887009 | − | 0.707366i | ||||
\(283\) | 1.34916e11 | − | 6.49719e10i | 1.25033 | − | 0.602125i | 0.312727 | − | 0.949843i | \(-0.398758\pi\) |
0.937599 | + | 0.347718i | \(0.113043\pi\) | |||||||
\(284\) | −4.51369e10 | − | 1.97758e11i | −0.411718 | − | 1.80385i | ||||
\(285\) | 1.98181e10 | − | 8.68289e10i | 0.177935 | − | 0.779583i | ||||
\(286\) | 2.30140e11 | + | 1.10830e11i | 2.03397 | + | 0.979510i | ||||
\(287\) | 5.25153e10 | + | 1.09049e11i | 0.456896 | + | 0.948754i | ||||
\(288\) | 9.66439e10 | + | 2.20583e10i | 0.827767 | + | 0.188932i | ||||
\(289\) | 1.00146e11 | 0.844487 | ||||||||
\(290\) | 9.35550e10 | + | 8.82885e10i | 0.776741 | + | 0.733016i | ||||
\(291\) | 7.18515e10 | 0.587378 | ||||||||
\(292\) | −1.10357e11 | − | 2.51883e10i | −0.888337 | − | 0.202757i | ||||
\(293\) | 2.70561e10 | + | 5.61826e10i | 0.214467 | + | 0.445346i | 0.980252 | − | 0.197750i | \(-0.0633636\pi\) |
−0.765785 | + | 0.643097i | \(0.777649\pi\) | |||||||
\(294\) | 1.44009e10 | + | 6.93512e9i | 0.112416 | + | 0.0541366i | ||||
\(295\) | −3.11278e9 | + | 1.36380e10i | −0.0239304 | + | 0.104846i | ||||
\(296\) | 2.24455e9 | + | 9.83400e9i | 0.0169948 | + | 0.0744590i | ||||
\(297\) | −2.25901e11 | + | 1.08788e11i | −1.68466 | + | 0.811291i | ||||
\(298\) | −6.57380e10 | − | 5.24243e10i | −0.482884 | − | 0.385087i | ||||
\(299\) | 2.49391e10 | − | 3.12726e10i | 0.180451 | − | 0.226279i | ||||
\(300\) | −1.88508e10 | + | 3.91441e10i | −0.134364 | + | 0.279011i | ||||
\(301\) | −9.97041e10 | + | 7.95113e10i | −0.700106 | + | 0.558316i | ||||
\(302\) | − | 3.65114e11i | − | 2.52579i | ||||||
\(303\) | 3.10991e10 | + | 3.89970e10i | 0.211961 | + | 0.265791i | ||||
\(304\) | −2.25195e11 | + | 5.13994e10i | −1.51227 | + | 0.345165i | ||||
\(305\) | 8.85113e10 | − | 2.02021e10i | 0.585665 | − | 0.133674i | ||||
\(306\) | 3.22068e10 | + | 4.03861e10i | 0.209991 | + | 0.263321i | ||||
\(307\) | 1.76426e11i | 1.13355i | 0.823873 | + | 0.566775i | \(0.191809\pi\) | ||||
−0.823873 | + | 0.566775i | \(0.808191\pi\) | |||||||
\(308\) | 2.27342e11 | − | 1.81299e11i | 1.43947 | − | 1.14794i | ||||
\(309\) | −5.45849e10 | + | 1.13347e11i | −0.340612 | + | 0.707287i | ||||
\(310\) | −1.38824e11 | + | 1.74079e11i | −0.853760 | + | 1.07058i | ||||
\(311\) | −1.52385e11 | − | 1.21523e11i | −0.923676 | − | 0.736607i | 0.0412449 | − | 0.999149i | \(-0.486868\pi\) |
−0.964920 | + | 0.262542i | \(0.915439\pi\) | |||||||
\(312\) | 9.04413e9 | − | 4.35542e9i | 0.0540345 | − | 0.0260217i | ||||
\(313\) | 1.29599e10 | + | 5.67810e10i | 0.0763224 | + | 0.334390i | 0.998646 | − | 0.0520292i | \(-0.0165689\pi\) |
−0.922323 | + | 0.386419i | \(0.873712\pi\) | |||||||
\(314\) | 8.50127e9 | − | 3.72465e10i | 0.0493515 | − | 0.216223i | ||||
\(315\) | 6.42931e10 | + | 3.09619e10i | 0.367932 | + | 0.177187i | ||||
\(316\) | 6.49039e10 | + | 1.34774e11i | 0.366167 | + | 0.760354i | ||||
\(317\) | 2.41115e10 | + | 5.50330e9i | 0.134109 | + | 0.0306095i | 0.289049 | − | 0.957314i | \(-0.406661\pi\) |
−0.154939 | + | 0.987924i | \(0.549518\pi\) | |||||||
\(318\) | −1.56878e11 | −0.860283 | ||||||||
\(319\) | 1.21618e11 | + | 3.17743e11i | 0.657567 | + | 1.71798i | ||||
\(320\) | −1.59431e11 | −0.849961 | ||||||||
\(321\) | −9.18205e10 | − | 2.09574e10i | −0.482688 | − | 0.110170i | ||||
\(322\) | −3.81077e10 | − | 7.91314e10i | −0.197543 | − | 0.410202i | ||||
\(323\) | −1.17496e11 | − | 5.65830e10i | −0.600636 | − | 0.289251i | ||||
\(324\) | −2.66404e9 | + | 1.16719e10i | −0.0134304 | + | 0.0588423i | ||||
\(325\) | 1.71791e10 | + | 7.52666e10i | 0.0854133 | + | 0.374220i | ||||
\(326\) | −1.94371e11 | + | 9.36039e10i | −0.953128 | + | 0.459002i | ||||
\(327\) | −3.34750e10 | − | 2.66954e10i | −0.161903 | − | 0.129114i | ||||
\(328\) | −1.63342e10 | + | 2.04825e10i | −0.0779232 | + | 0.0977126i | ||||
\(329\) | −1.05747e11 | + | 2.19585e11i | −0.497605 | + | 1.03329i | ||||
\(330\) | 2.11191e11 | − | 1.68420e11i | 0.980310 | − | 0.781772i | ||||
\(331\) | − | 3.97364e11i | − | 1.81954i | −0.415108 | − | 0.909772i | \(-0.636256\pi\) | ||
0.415108 | − | 0.909772i | \(-0.363744\pi\) | |||||||
\(332\) | 1.68827e11 | + | 2.11702e11i | 0.762640 | + | 0.956320i | ||||
\(333\) | −8.97426e10 | + | 2.04832e10i | −0.399944 | + | 0.0912847i | ||||
\(334\) | 1.30410e11 | − | 2.97651e10i | 0.573390 | − | 0.130873i | ||||
\(335\) | −3.88719e9 | − | 4.87438e9i | −0.0168630 | − | 0.0211455i | ||||
\(336\) | 1.27197e11i | 0.544439i | ||||||||
\(337\) | 1.78487e11 | − | 1.42338e11i | 0.753826 | − | 0.601156i | −0.169340 | − | 0.985558i | \(-0.554164\pi\) |
0.923166 | + | 0.384401i | \(0.125592\pi\) | |||||||
\(338\) | −4.12138e10 | + | 8.55812e10i | −0.171758 | + | 0.356659i | ||||
\(339\) | −1.49966e10 | + | 1.88051e10i | −0.0616728 | + | 0.0773353i | ||||
\(340\) | −6.06170e10 | − | 4.83404e10i | −0.246002 | − | 0.196180i | ||||
\(341\) | −5.30570e11 | + | 2.55509e11i | −2.12495 | + | 1.02332i | ||||
\(342\) | 8.12823e10 | + | 3.56121e11i | 0.321276 | + | 1.40760i | ||||
\(343\) | 6.02263e10 | − | 2.63869e11i | 0.234943 | − | 1.02935i | ||||
\(344\) | −2.48695e10 | − | 1.19765e10i | −0.0957533 | − | 0.0461124i | ||||
\(345\) | −1.83529e10 | − | 3.81102e10i | −0.0697459 | − | 0.144829i | ||||
\(346\) | 4.85785e11 | + | 1.10877e11i | 1.82222 | + | 0.415911i | ||||
\(347\) | 1.53016e11 | 0.566571 | 0.283286 | − | 0.959036i | \(-0.408576\pi\) | ||||
0.283286 | + | 0.959036i | \(0.408576\pi\) | |||||||
\(348\) | 1.79158e11 | + | 5.69244e10i | 0.654830 | + | 0.208062i | ||||
\(349\) | 9.12474e10 | 0.329235 | 0.164617 | − | 0.986357i | \(-0.447361\pi\) | ||||
0.164617 | + | 0.986357i | \(0.447361\pi\) | |||||||
\(350\) | 1.65269e11 | + | 3.77215e10i | 0.588687 | + | 0.134364i | ||||
\(351\) | 1.06810e11 | + | 2.21792e11i | 0.375602 | + | 0.779946i | ||||
\(352\) | −6.83875e11 | − | 3.29337e11i | −2.37430 | − | 1.14340i | ||||
\(353\) | 5.94829e10 | − | 2.60612e11i | 0.203895 | − | 0.893321i | −0.764643 | − | 0.644454i | \(-0.777085\pi\) |
0.968538 | − | 0.248867i | \(-0.0800582\pi\) | |||||||
\(354\) | 8.77420e9 | + | 3.84423e10i | 0.0296957 | + | 0.130105i | ||||
\(355\) | −3.43419e11 | + | 1.65382e11i | −1.14762 | + | 0.552663i | ||||
\(356\) | −8.17972e10 | − | 6.52311e10i | −0.269907 | − | 0.215243i | ||||
\(357\) | −4.47745e10 | + | 5.61454e10i | −0.145889 | + | 0.182940i | ||||
\(358\) | 1.73829e11 | − | 3.60960e11i | 0.559305 | − | 1.16141i | ||||
\(359\) | −3.05509e11 | + | 2.43635e11i | −0.970731 | + | 0.774132i | −0.974159 | − | 0.225862i | \(-0.927480\pi\) |
0.00342839 | + | 0.999994i | \(0.498909\pi\) | |||||||
\(360\) | 1.54459e10i | 0.0484675i | ||||||||
\(361\) | −3.73782e11 | − | 4.68708e11i | −1.15834 | − | 1.45251i | ||||
\(362\) | 3.69275e11 | − | 8.42846e10i | 1.13022 | − | 0.257964i | ||||
\(363\) | 4.90685e11 | − | 1.11996e11i | 1.48328 | − | 0.338549i | ||||
\(364\) | −1.78002e11 | − | 2.23208e11i | −0.531458 | − | 0.666427i | ||||
\(365\) | 2.12707e11i | 0.627283i | ||||||||
\(366\) | 2.00078e11 | − | 1.59557e11i | 0.582819 | − | 0.464783i | ||||
\(367\) | 1.22558e11 | − | 2.54495e11i | 0.352652 | − | 0.732289i | −0.646889 | − | 0.762584i | \(-0.723930\pi\) |
0.999541 | + | 0.0302951i | \(0.00964471\pi\) | |||||||
\(368\) | −6.83999e10 | + | 8.57708e10i | −0.194420 | + | 0.243795i | ||||
\(369\) | −1.86918e11 | − | 1.49062e11i | −0.524847 | − | 0.418551i | ||||
\(370\) | 2.40106e11 | − | 1.15629e11i | 0.666031 | − | 0.320744i | ||||
\(371\) | 7.06141e10 | + | 3.09380e11i | 0.193512 | + | 0.847833i | ||||
\(372\) | −7.24036e10 | + | 3.17221e11i | −0.196027 | + | 0.858852i | ||||
\(373\) | 1.16764e11 | + | 5.62308e10i | 0.312335 | + | 0.150413i | 0.583484 | − | 0.812125i | \(-0.301689\pi\) |
−0.271149 | + | 0.962537i | \(0.587404\pi\) | |||||||
\(374\) | −1.71616e11 | − | 3.56364e11i | −0.453561 | − | 0.941828i | ||||
\(375\) | 2.56192e11 | + | 5.84741e10i | 0.668998 | + | 0.152694i | ||||
\(376\) | −5.27534e10 | −0.136115 | ||||||||
\(377\) | 3.11965e11 | − | 1.19406e11i | 0.795370 | − | 0.304432i | ||||
\(378\) | 5.40536e11 | 1.36180 | ||||||||
\(379\) | −4.90032e11 | − | 1.11847e11i | −1.21997 | − | 0.278450i | −0.436398 | − | 0.899754i | \(-0.643746\pi\) |
−0.783570 | + | 0.621304i | \(0.786603\pi\) | |||||||
\(380\) | −2.37882e11 | − | 4.93966e11i | −0.585241 | − | 1.21527i | ||||
\(381\) | 4.16463e11 | + | 2.00558e11i | 1.01255 | + | 0.487616i | ||||
\(382\) | 3.38298e9 | − | 1.48218e10i | 0.00812858 | − | 0.0356136i | ||||
\(383\) | 1.26448e11 | + | 5.54005e11i | 0.300274 | + | 1.31559i | 0.869715 | + | 0.493554i | \(0.164303\pi\) |
−0.569441 | + | 0.822032i | \(0.692840\pi\) | |||||||
\(384\) | −5.39089e10 | + | 2.59611e10i | −0.126523 | + | 0.0609303i | ||||
\(385\) | −4.27202e11 | − | 3.40682e11i | −0.990969 | − | 0.790271i | ||||
\(386\) | −4.37462e11 | + | 5.48560e11i | −1.00299 | + | 1.25771i | ||||
\(387\) | 1.09295e11 | − | 2.26953e11i | 0.247685 | − | 0.514323i | ||||
\(388\) | 3.45816e11 | − | 2.75779e11i | 0.774644 | − | 0.617758i | ||||
\(389\) | − | 6.53513e10i | − | 0.144704i | −0.997379 | − | 0.0723520i | \(-0.976949\pi\) | ||
0.997379 | − | 0.0723520i | \(-0.0230505\pi\) | |||||||
\(390\) | −1.65357e11 | − | 2.07351e11i | −0.361935 | − | 0.453852i | ||||
\(391\) | −6.03844e10 | + | 1.37823e10i | −0.130656 | + | 0.0298214i | ||||
\(392\) | 6.82287e9 | − | 1.55728e9i | 0.0145942 | − | 0.00333103i | ||||
\(393\) | −2.53148e11 | − | 3.17437e11i | −0.535313 | − | 0.671261i | ||||
\(394\) | 9.83582e11i | 2.05626i | ||||||||
\(395\) | 2.19768e11 | − | 1.75259e11i | 0.454231 | − | 0.362237i | ||||
\(396\) | −2.49210e11 | + | 5.17490e11i | −0.509258 | + | 1.05748i | ||||
\(397\) | −1.10401e11 | + | 1.38439e11i | −0.223058 | + | 0.279706i | −0.880750 | − | 0.473581i | \(-0.842961\pi\) |
0.657693 | + | 0.753287i | \(0.271533\pi\) | |||||||
\(398\) | 3.09643e11 | + | 2.46932e11i | 0.618569 | + | 0.493292i | ||||
\(399\) | −4.57528e11 | + | 2.20334e11i | −0.903732 | + | 0.435214i | ||||
\(400\) | −4.71168e10 | − | 2.06432e11i | −0.0920251 | − | 0.403188i | ||||
\(401\) | −5.03458e10 | + | 2.20579e11i | −0.0972330 | + | 0.426006i | −0.999991 | − | 0.00414231i | \(-0.998681\pi\) |
0.902758 | + | 0.430148i | \(0.141539\pi\) | |||||||
\(402\) | −1.58334e10 | − | 7.62498e9i | −0.0302383 | − | 0.0145620i | ||||
\(403\) | 2.50862e11 | + | 5.20921e11i | 0.473764 | + | 0.983782i | ||||
\(404\) | 2.99355e11 | + | 6.83259e10i | 0.559076 | + | 0.127605i | ||||
\(405\) | 2.24969e10 | 0.0415504 | ||||||||
\(406\) | 6.09880e10 | − | 7.30928e11i | 0.111398 | − | 1.33508i | ||||
\(407\) | 7.04842e11 | 1.27326 | ||||||||
\(408\) | −1.51541e10 | − | 3.45883e9i | −0.0270745 | − | 0.00617957i | ||||
\(409\) | −1.98110e11 | − | 4.11380e11i | −0.350067 | − | 0.726923i | 0.649370 | − | 0.760473i | \(-0.275033\pi\) |
−0.999437 | + | 0.0335504i | \(0.989319\pi\) | |||||||
\(410\) | 6.23612e11 | + | 3.00316e11i | 1.08990 | + | 0.524869i | ||||
\(411\) | 6.16018e10 | − | 2.69895e11i | 0.106489 | − | 0.466559i | ||||
\(412\) | 1.72332e11 | + | 7.55036e11i | 0.294665 | + | 1.29101i | ||||
\(413\) | 7.18627e10 | − | 3.46073e10i | 0.121543 | − | 0.0585318i | ||||
\(414\) | 1.35637e11 | + | 1.08167e11i | 0.226922 | + | 0.180964i | ||||
\(415\) | 3.17245e11 | − | 3.97812e11i | 0.525022 | − | 0.658357i | ||||
\(416\) | −3.23348e11 | + | 6.71438e11i | −0.529358 | + | 1.09922i | ||||
\(417\) | −1.69696e11 | + | 1.35328e11i | −0.274827 | + | 0.219167i | ||||
\(418\) | − | 2.79699e12i | − | 4.48123i | ||||||
\(419\) | 4.77329e11 | + | 5.98552e11i | 0.756580 | + | 0.948721i | 0.999774 | − | 0.0212562i | \(-0.00676657\pi\) |
−0.243194 | + | 0.969978i | \(0.578195\pi\) | |||||||
\(420\) | −2.94340e11 | + | 6.71811e10i | −0.461559 | + | 0.105348i | ||||
\(421\) | −4.23476e11 | + | 9.66556e10i | −0.656991 | + | 0.149954i | −0.538004 | − | 0.842942i | \(-0.680822\pi\) |
−0.118986 | + | 0.992896i | \(0.537964\pi\) | |||||||
\(422\) | −6.05228e11 | − | 7.58932e11i | −0.928995 | − | 1.16492i | ||||
\(423\) | − | 4.81414e11i | − | 0.731117i | ||||||
\(424\) | −5.37020e10 | + | 4.28259e10i | −0.0806946 | + | 0.0643518i | ||||
\(425\) | 5.18686e10 | − | 1.07706e11i | 0.0771177 | − | 0.160137i | ||||
\(426\) | −6.69889e11 | + | 8.40015e11i | −0.985508 | + | 1.23579i | ||||
\(427\) | −4.04721e11 | − | 3.22754e11i | −0.589156 | − | 0.469836i | ||||
\(428\) | −5.22363e11 | + | 2.51557e11i | −0.752446 | + | 0.362359i | ||||
\(429\) | −1.56085e11 | − | 6.83854e11i | −0.222487 | − | 0.974778i | ||||
\(430\) | −1.62279e11 | + | 7.10992e11i | −0.228905 | + | 1.00290i | ||||
\(431\) | 1.19510e11 | + | 5.75530e10i | 0.166823 | + | 0.0803378i | 0.515432 | − | 0.856931i | \(-0.327632\pi\) |
−0.348609 | + | 0.937268i | \(0.613346\pi\) | |||||||
\(432\) | −2.92945e11 | − | 6.08306e11i | −0.404677 | − | 0.840321i | ||||
\(433\) | −3.91037e10 | − | 8.92517e9i | −0.0534592 | − | 0.0122017i | 0.195708 | − | 0.980662i | \(-0.437300\pi\) |
−0.249167 | + | 0.968461i | \(0.580157\pi\) | |||||||
\(434\) | 1.26955e12 | 1.71770 | ||||||||
\(435\) | 2.93722e10 | − | 3.52019e11i | 0.0393310 | − | 0.471373i | ||||
\(436\) | −2.63574e11 | −0.349312 | ||||||||
\(437\) | −4.27003e11 | − | 9.74607e10i | −0.560099 | − | 0.127839i | ||||
\(438\) | 2.60144e11 | + | 5.40194e11i | 0.337738 | + | 0.701321i | ||||
\(439\) | 6.03555e11 | + | 2.90657e11i | 0.775580 | + | 0.373500i | 0.779427 | − | 0.626493i | \(-0.215510\pi\) |
−0.00384724 | + | 0.999993i | \(0.501225\pi\) | |||||||
\(440\) | 2.63177e10 | − | 1.15305e11i | 0.0334743 | − | 0.146660i | ||||
\(441\) | 1.42113e10 | + | 6.22638e10i | 0.0178921 | + | 0.0783903i | ||||
\(442\) | −3.49883e11 | + | 1.68495e11i | −0.436036 | + | 0.209984i | ||||
\(443\) | −1.04953e11 | − | 8.36976e10i | −0.129473 | − | 0.103251i | 0.556612 | − | 0.830772i | \(-0.312101\pi\) |
−0.686085 | + | 0.727521i | \(0.740672\pi\) | |||||||
\(444\) | 2.42816e11 | − | 3.04481e11i | 0.296520 | − | 0.371824i | ||||
\(445\) | −8.53006e10 | + | 1.77129e11i | −0.103117 | + | 0.214126i | ||||
\(446\) | 1.25100e12 | − | 9.97640e11i | 1.49710 | − | 1.19390i | ||||
\(447\) | 2.30893e11i | 0.273544i | ||||||||
\(448\) | 5.66787e11 | + | 7.10728e11i | 0.664766 | + | 0.833590i | ||||
\(449\) | −1.42370e12 | + | 3.24950e11i | −1.65314 | + | 0.377318i | −0.944567 | − | 0.328319i | \(-0.893518\pi\) |
−0.708573 | + | 0.705637i | \(0.750661\pi\) | |||||||
\(450\) | −3.26450e11 | + | 7.45100e10i | −0.375284 | + | 0.0856561i | ||||
\(451\) | 1.14139e12 | + | 1.43125e12i | 1.29909 | + | 1.62900i | ||||
\(452\) | 1.48067e11i | 0.166854i | ||||||||
\(453\) | −7.83881e11 | + | 6.25125e11i | −0.874598 | + | 0.697469i | ||||
\(454\) | −4.67627e11 | + | 9.71037e11i | −0.516592 | + | 1.07271i | ||||
\(455\) | −3.34486e11 | + | 4.19433e11i | −0.365870 | + | 0.458787i | ||||
\(456\) | −8.59366e10 | − | 6.85322e10i | −0.0930757 | − | 0.0742254i | ||||
\(457\) | 7.57411e11 | − | 3.64750e11i | 0.812285 | − | 0.391176i | 0.0188436 | − | 0.999822i | \(-0.494002\pi\) |
0.793441 | + | 0.608647i | \(0.208287\pi\) | |||||||
\(458\) | 2.36917e11 | + | 1.03800e12i | 0.251595 | + | 1.10231i | ||||
\(459\) | 8.48220e10 | − | 3.71630e11i | 0.0891973 | − | 0.390799i | ||||
\(460\) | −2.34605e11 | − | 1.12980e11i | −0.244302 | − | 0.117649i | ||||
\(461\) | 4.95110e11 | + | 1.02811e12i | 0.510561 | + | 1.06019i | 0.983802 | + | 0.179258i | \(0.0573698\pi\) |
−0.473241 | + | 0.880933i | \(0.656916\pi\) | |||||||
\(462\) | −1.50159e12 | − | 3.42729e11i | −1.53343 | − | 0.349995i | ||||
\(463\) | −1.47562e12 | −1.49231 | −0.746155 | − | 0.665772i | \(-0.768102\pi\) | ||||
−0.746155 | + | 0.665772i | \(0.768102\pi\) | |||||||
\(464\) | −8.55620e11 | + | 3.27493e11i | −0.856940 | + | 0.327998i | ||||
\(465\) | 6.11424e11 | 0.606463 | ||||||||
\(466\) | −1.81697e12 | − | 4.14712e11i | −1.78489 | − | 0.407389i | ||||
\(467\) | −8.67491e9 | − | 1.80136e10i | −0.00843994 | − | 0.0175257i | 0.896706 | − | 0.442626i | \(-0.145953\pi\) |
−0.905146 | + | 0.425100i | \(0.860239\pi\) | |||||||
\(468\) | 5.08079e11 | + | 2.44678e11i | 0.489581 | + | 0.235770i | ||||
\(469\) | −7.91031e9 | + | 3.46573e10i | −0.00754945 | + | 0.0330763i | ||||
\(470\) | 3.10139e11 | + | 1.35881e12i | 0.293167 | + | 1.28445i | ||||
\(471\) | −9.45215e10 | + | 4.55192e10i | −0.0884986 | + | 0.0426187i | ||||
\(472\) | 1.34978e10 | + | 1.07642e10i | 0.0125177 | + | 0.00998254i | ||||
\(473\) | −1.20260e12 | + | 1.50801e12i | −1.10470 | + | 1.38525i | ||||
\(474\) | 3.43782e11 | − | 7.13871e11i | 0.312810 | − | 0.649557i | ||||
\(475\) | 6.60923e11 | − | 5.27068e11i | 0.595702 | − | 0.475057i | ||||
\(476\) | 4.42076e11i | 0.394699i | ||||||||
\(477\) | −3.90819e11 | − | 4.90071e11i | −0.345655 | − | 0.433437i | ||||
\(478\) | 2.13315e12 | − | 4.86879e11i | 1.86895 | − | 0.426575i | ||||
\(479\) | 5.53591e11 | − | 1.26354e11i | 0.480484 | − | 0.109667i | 0.0245830 | − | 0.999698i | \(-0.492174\pi\) |
0.455901 | + | 0.890030i | \(0.349317\pi\) | |||||||
\(480\) | 4.91367e11 | + | 6.16155e11i | 0.422494 | + | 0.529791i | ||||
\(481\) | − | 6.92023e11i | − | 0.589478i | ||||||
\(482\) | 1.49266e12 | − | 1.19036e12i | 1.25965 | − | 1.00454i | ||||
\(483\) | −1.04646e11 | + | 2.17299e11i | −0.0874900 | + | 0.181675i | ||||
\(484\) | 1.93177e12 | − | 2.42236e12i | 1.60011 | − | 2.00648i | ||||
\(485\) | −6.49828e11 | − | 5.18220e11i | −0.533286 | − | 0.425282i | ||||
\(486\) | −1.56596e12 | + | 7.54128e11i | −1.27326 | + | 0.613171i | ||||
\(487\) | −4.10717e11 | − | 1.79947e12i | −0.330874 | − | 1.44965i | −0.817443 | − | 0.576010i | \(-0.804609\pi\) |
0.486569 | − | 0.873642i | \(-0.338248\pi\) | |||||||
\(488\) | 2.49328e10 | − | 1.09238e11i | 0.0199013 | − | 0.0871932i | ||||
\(489\) | 5.33751e11 | + | 2.57041e11i | 0.422132 | + | 0.203288i | ||||
\(490\) | −8.02238e10 | − | 1.66586e11i | −0.0628667 | − | 0.130544i | ||||
\(491\) | 1.92987e11 | + | 4.40480e10i | 0.149851 | + | 0.0342026i | 0.296789 | − | 0.954943i | \(-0.404084\pi\) |
−0.146937 | + | 0.989146i | \(0.546941\pi\) | |||||||
\(492\) | 1.01149e12 | 0.778246 | ||||||||
\(493\) | −4.92957e11 | − | 1.56629e11i | −0.375836 | − | 0.119416i | ||||
\(494\) | −2.74612e12 | −2.07467 | ||||||||
\(495\) | 1.05225e12 | + | 2.40169e11i | 0.787762 | + | 0.179801i | ||||
\(496\) | −6.88036e11 | − | 1.42872e12i | −0.510439 | − | 1.05994i | ||||
\(497\) | 1.95813e12 | + | 9.42984e11i | 1.43958 | + | 0.693267i | ||||
\(498\) | 3.19150e11 | − | 1.39829e12i | 0.232521 | − | 1.01874i | ||||
\(499\) | 1.34747e11 | + | 5.90366e11i | 0.0972898 | + | 0.426254i | 0.999992 | − | 0.00401151i | \(-0.00127691\pi\) |
−0.902702 | + | 0.430266i | \(0.858420\pi\) | |||||||
\(500\) | 1.45747e12 | − | 7.01879e11i | 1.04288 | − | 0.502224i | ||||
\(501\) | −2.87183e11 | − | 2.29021e11i | −0.203652 | − | 0.162407i | ||||
\(502\) | −1.66847e12 | + | 2.09220e12i | −1.17261 | + | 1.47040i | ||||
\(503\) | 3.82126e11 | − | 7.93492e11i | 0.266164 | − | 0.552696i | −0.724459 | − | 0.689318i | \(-0.757910\pi\) |
0.990623 | + | 0.136622i | \(0.0436245\pi\) | |||||||
\(504\) | 6.88559e10 | − | 5.49108e10i | 0.0475339 | − | 0.0379071i | ||||
\(505\) | − | 5.76989e11i | − | 0.394781i | ||||||
\(506\) | −8.28246e11 | − | 1.03859e12i | −0.561671 | − | 0.704313i | ||||
\(507\) | 2.54302e11 | − | 5.80427e10i | 0.170928 | − | 0.0390132i | ||||
\(508\) | 2.77418e12 | − | 6.33190e11i | 1.84820 | − | 0.421839i | ||||
\(509\) | 1.22188e11 | + | 1.53219e11i | 0.0806859 | + | 0.101177i | 0.820536 | − | 0.571595i | \(-0.193675\pi\) |
−0.739850 | + | 0.672772i | \(0.765104\pi\) | |||||||
\(510\) | 4.10670e11i | 0.268799i | ||||||||
\(511\) | 9.48223e11 | − | 7.56182e11i | 0.615200 | − | 0.490606i | ||||
\(512\) | 9.55146e11 | − | 1.98338e12i | 0.614264 | − | 1.27553i | ||||
\(513\) | 1.68064e12 | − | 2.10745e12i | 1.07139 | − | 1.34347i | ||||
\(514\) | −5.47676e11 | − | 4.36757e11i | −0.346090 | − | 0.275998i | ||||
\(515\) | 1.31117e12 | − | 6.31425e11i | 0.821345 | − | 0.395539i | ||||
\(516\) | 2.37147e11 | + | 1.03901e12i | 0.147263 | + | 0.645202i | ||||
\(517\) | −8.20266e11 | + | 3.59382e12i | −0.504949 | + | 2.21233i | ||||
\(518\) | −1.36905e12 | − | 6.59299e11i | −0.835477 | − | 0.402345i | ||||
\(519\) | −5.93681e11 | − | 1.23279e12i | −0.359170 | − | 0.745825i | ||||
\(520\) | −1.13208e11 | − | 2.58391e10i | −0.0678991 | − | 0.0154975i | ||||
\(521\) | −7.84084e11 | −0.466222 | −0.233111 | − | 0.972450i | \(-0.574891\pi\) | ||||
−0.233111 | + | 0.972450i | \(0.574891\pi\) | |||||||
\(522\) | 5.17894e11 | + | 1.35307e12i | 0.305298 | + | 0.797631i | ||||
\(523\) | −2.84758e11 | −0.166425 | −0.0832124 | − | 0.996532i | \(-0.526518\pi\) | ||||
−0.0832124 | + | 0.996532i | \(0.526518\pi\) | |||||||
\(524\) | −2.43676e12 | − | 5.56175e11i | −1.41196 | − | 0.322271i | ||||
\(525\) | −2.01976e11 | − | 4.19407e11i | −0.116033 | − | 0.240946i | ||||
\(526\) | −3.80466e12 | − | 1.83223e12i | −2.16710 | − | 1.04362i | ||||
\(527\) | 1.99220e11 | − | 8.72842e11i | 0.112509 | − | 0.492933i | ||||
\(528\) | 4.28093e11 | + | 1.87560e12i | 0.239709 | + | 1.05024i | ||||
\(529\) | 1.43537e12 | − | 6.91236e11i | 0.796915 | − | 0.383774i | ||||
\(530\) | 1.41881e12 | + | 1.13147e12i | 0.781060 | + | 0.622874i | ||||
\(531\) | −9.82310e10 | + | 1.23178e11i | −0.0536196 | + | 0.0672368i | ||||
\(532\) | −1.35637e12 | + | 2.81652e12i | −0.734133 | + | 1.52444i | ||||
\(533\) | 1.40522e12 | − | 1.12063e12i | 0.754177 | − | 0.601436i | ||||
\(534\) | 5.54164e11i | 0.294919i | ||||||||
\(535\) | 6.79275e11 | + | 8.51783e11i | 0.358470 | + | 0.449508i | ||||
\(536\) | −7.50157e9 | + | 1.71218e9i | −0.00392564 | + | 0.000896002i | ||||
\(537\) | −1.07258e12 | + | 2.44810e11i | −0.556603 | + | 0.127041i | ||||
\(538\) | 2.61950e12 | + | 3.28474e12i | 1.34802 | + | 1.69037i | ||||
\(539\) | − | 4.89022e11i | − | 0.249562i | ||||||
\(540\) | 1.25293e12 | − | 9.99176e11i | 0.634095 | − | 0.505674i | ||||
\(541\) | −6.55265e11 | + | 1.36067e12i | −0.328874 | + | 0.682913i | −0.998195 | − | 0.0600601i | \(-0.980871\pi\) |
0.669321 | + | 0.742973i | \(0.266585\pi\) | |||||||
\(542\) | −5.76923e11 | + | 7.23438e11i | −0.287158 | + | 0.360085i | ||||
\(543\) | −8.13203e11 | − | 6.48508e11i | −0.401421 | − | 0.320122i | ||||
\(544\) | 1.03970e12 | − | 5.00692e11i | 0.508993 | − | 0.245118i | ||||
\(545\) | 1.10212e11 | + | 4.82869e11i | 0.0535110 | + | 0.234447i | ||||
\(546\) | −3.36495e11 | + | 1.47428e12i | −0.162036 | + | 0.709927i | ||||
\(547\) | −1.98662e12 | − | 9.56708e11i | −0.948796 | − | 0.456916i | −0.105532 | − | 0.994416i | \(-0.533655\pi\) |
−0.843264 | + | 0.537500i | \(0.819369\pi\) | |||||||
\(548\) | −7.39421e11 | − | 1.53542e12i | −0.350251 | − | 0.727303i | ||||
\(549\) | 9.96875e11 | + | 2.27530e11i | 0.468344 | + | 0.106896i | ||||
\(550\) | 2.56395e12 | 1.19475 | ||||||||
\(551\) | −2.66013e12 | − | 2.51038e12i | −1.22948 | − | 1.16027i | ||||
\(552\) | −5.22041e10 | −0.0239320 | ||||||||
\(553\) | −1.56257e12 | − | 3.56646e11i | −0.710520 | − | 0.162172i | ||||
\(554\) | 1.50413e12 | + | 3.12337e12i | 0.678411 | + | 1.40873i | ||||
\(555\) | −6.59342e11 | − | 3.17522e11i | −0.294980 | − | 0.142055i | ||||
\(556\) | −2.97321e11 | + | 1.30265e12i | −0.131944 | + | 0.578083i | ||||
\(557\) | 1.46873e11 | + | 6.43494e11i | 0.0646539 | + | 0.283267i | 0.996912 | − | 0.0785267i | \(-0.0250216\pi\) |
−0.932258 | + | 0.361794i | \(0.882164\pi\) | |||||||
\(558\) | −2.25936e12 | + | 1.08805e12i | −0.986579 | + | 0.475111i | ||||
\(559\) | 1.48058e12 | + | 1.18073e12i | 0.641327 | + | 0.511441i | ||||
\(560\) | 9.17391e11 | − | 1.15037e12i | 0.394192 | − | 0.494302i | ||||
\(561\) | −4.71266e11 | + | 9.78593e11i | −0.200878 | + | 0.417128i | ||||
\(562\) | −2.33178e12 | + | 1.85953e12i | −0.985993 | + | 0.786303i | ||||
\(563\) | 3.74411e12i | 1.57058i | 0.619127 | + | 0.785291i | \(0.287487\pi\) | ||||
−0.619127 | + | 0.785291i | \(0.712513\pi\) | |||||||
\(564\) | 1.26990e12 | + | 1.59240e12i | 0.528462 | + | 0.662670i | ||||
\(565\) | 2.71259e11 | − | 6.19132e10i | 0.111987 | − | 0.0255602i | ||||
\(566\) | −4.76029e12 | + | 1.08650e12i | −1.94966 | + | 0.444998i | ||||
\(567\) | −7.99776e10 | − | 1.00289e11i | −0.0324971 | − | 0.0407501i | ||||
\(568\) | 4.70422e11i | 0.189636i | ||||||||
\(569\) | 3.59935e12 | − | 2.87039e12i | 1.43953 | − | 1.14798i | 0.476302 | − | 0.879282i | \(-0.341977\pi\) |
0.963224 | − | 0.268701i | \(-0.0865944\pi\) | |||||||
\(570\) | −1.26001e12 | + | 2.61643e12i | −0.499962 | + | 1.03818i | ||||
\(571\) | −4.20550e11 | + | 5.27353e11i | −0.165560 | + | 0.207606i | −0.857690 | − | 0.514167i | \(-0.828101\pi\) |
0.692130 | + | 0.721773i | \(0.256673\pi\) | |||||||
\(572\) | −3.37598e12 | − | 2.69226e12i | −1.31861 | − | 1.05156i | ||||
\(573\) | −3.76138e10 | + | 1.81138e10i | −0.0145764 | + | 0.00701964i | ||||
\(574\) | −8.78196e11 | − | 3.84763e12i | −0.337667 | − | 1.47941i | ||||
\(575\) | 8.93403e10 | − | 3.91426e11i | 0.0340834 | − | 0.149329i | ||||
\(576\) | −1.61780e12 | − | 7.79093e11i | −0.612385 | − | 0.294909i | ||||
\(577\) | 1.93440e12 | + | 4.01682e12i | 0.726532 | + | 1.50866i | 0.855944 | + | 0.517069i | \(0.172977\pi\) |
−0.129412 | + | 0.991591i | \(0.541309\pi\) | |||||||
\(578\) | −3.18357e12 | − | 7.26629e11i | −1.18642 | − | 0.270793i | ||||
\(579\) | 1.92672e12 | 0.712468 | ||||||||
\(580\) | −1.20975e12 | − | 1.80698e12i | −0.443883 | − | 0.663021i | ||||
\(581\) | −2.90122e12 | −1.05630 | ||||||||
\(582\) | −2.28411e12 | − | 5.21333e11i | −0.825208 | − | 0.188348i | ||||
\(583\) | 2.08250e12 | + | 4.32435e12i | 0.746580 | + | 1.55029i | ||||
\(584\) | 2.36518e11 | + | 1.13901e11i | 0.0841407 | + | 0.0405200i | ||||
\(585\) | 2.35801e11 | − | 1.03311e12i | 0.0832423 | − | 0.364708i | ||||
\(586\) | −4.52451e11 | − | 1.98232e12i | −0.158501 | − | 0.694439i | ||||
\(587\) | −2.06715e12 | + | 9.95489e11i | −0.718623 | + | 0.346071i | −0.757198 | − | 0.653185i | \(-0.773432\pi\) |
0.0385750 | + | 0.999256i | \(0.487718\pi\) | |||||||
\(588\) | −2.11251e11 | − | 1.68467e11i | −0.0728786 | − | 0.0581187i | ||||
\(589\) | 3.94729e12 | − | 4.94975e12i | 1.35139 | − | 1.69459i | ||||
\(590\) | 1.97906e11 | − | 4.10956e11i | 0.0672396 | − | 0.139624i | ||||
\(591\) | 2.11170e12 | − | 1.68402e12i | 0.712014 | − | 0.567812i | ||||
\(592\) | 1.89800e12i | 0.635110i | ||||||||
\(593\) | −3.15959e11 | − | 3.96200e11i | −0.104926 | − | 0.131573i | 0.726596 | − | 0.687065i | \(-0.241101\pi\) |
−0.831522 | + | 0.555492i | \(0.812530\pi\) | |||||||
\(594\) | 7.97055e12 | − | 1.81923e12i | 2.62694 | − | 0.599581i | ||||
\(595\) | 8.09884e11 | − | 1.84851e11i | 0.264909 | − | 0.0604637i | ||||
\(596\) | 8.86210e11 | + | 1.11127e12i | 0.287692 | + | 0.360755i | ||||
\(597\) | − | 1.08757e12i | − | 0.350407i | ||||||
\(598\) | −1.01970e12 | + | 8.13183e11i | −0.326074 | + | 0.260036i | ||||
\(599\) | 6.46215e11 | − | 1.34188e12i | 0.205096 | − | 0.425885i | −0.772895 | − | 0.634534i | \(-0.781192\pi\) |
0.977991 | + | 0.208649i | \(0.0669065\pi\) | |||||||
\(600\) | 6.28221e10 | − | 7.87765e10i | 0.0197894 | − | 0.0248151i | ||||
\(601\) | 3.08173e12 | + | 2.45760e12i | 0.963517 | + | 0.768379i | 0.972816 | − | 0.231578i | \(-0.0743888\pi\) |
−0.00929961 | + | 0.999957i | \(0.502960\pi\) | |||||||
\(602\) | 3.74643e12 | − | 1.80419e12i | 1.16261 | − | 0.559883i | ||||
\(603\) | −1.56250e10 | − | 6.84574e10i | −0.00481273 | − | 0.0210859i | ||||
\(604\) | −1.37342e12 | + | 6.01735e12i | −0.419892 | + | 1.83967i | ||||
\(605\) | −5.24552e12 | − | 2.52611e12i | −1.59180 | − | 0.766573i | ||||
\(606\) | −7.05668e11 | − | 1.46533e12i | −0.212556 | − | 0.441377i | ||||
\(607\) | −2.68479e12 | − | 6.12786e11i | −0.802715 | − | 0.183215i | −0.198568 | − | 0.980087i | \(-0.563629\pi\) |
−0.604147 | + | 0.796873i | \(0.706486\pi\) | |||||||
\(608\) | 8.16026e12 | 2.42180 | ||||||||
\(609\) | −1.67368e12 | + | 1.12051e12i | −0.493055 | + | 0.330094i | ||||
\(610\) | −2.96029e12 | −0.865666 | ||||||||
\(611\) | 3.52846e12 | + | 8.05348e11i | 1.02424 | + | 0.233775i | ||||
\(612\) | −3.78875e11 | − | 7.86742e11i | −0.109173 | − | 0.226700i | ||||
\(613\) | 5.85996e11 | + | 2.82201e11i | 0.167619 | + | 0.0807209i | 0.515812 | − | 0.856702i | \(-0.327490\pi\) |
−0.348193 | + | 0.937423i | \(0.613205\pi\) | |||||||
\(614\) | 1.28010e12 | − | 5.60846e12i | 0.363483 | − | 1.59253i | ||||
\(615\) | −4.22945e11 | − | 1.85304e12i | −0.119219 | − | 0.522333i | ||||
\(616\) | −6.07580e11 | + | 2.92595e11i | −0.170016 | + | 0.0818754i | ||||
\(617\) | −2.41289e12 | − | 1.92422e12i | −0.670277 | − | 0.534528i | 0.228164 | − | 0.973623i | \(-0.426728\pi\) |
−0.898441 | + | 0.439094i | \(0.855299\pi\) | |||||||
\(618\) | 2.55763e12 | − | 3.20716e12i | 0.705324 | − | 0.884449i | ||||
\(619\) | 6.76990e11 | − | 1.40578e12i | 0.185342 | − | 0.384867i | −0.787507 | − | 0.616305i | \(-0.788629\pi\) |
0.972850 | + | 0.231438i | \(0.0743430\pi\) | |||||||
\(620\) | 2.94274e12 | − | 2.34675e12i | 0.799813 | − | 0.637830i | ||||
\(621\) | − | 1.28022e12i | − | 0.345439i | ||||||
\(622\) | 3.96247e12 | + | 4.96878e12i | 1.06147 | + | 1.33105i | ||||
\(623\) | 1.09287e12 | − | 2.49440e11i | 0.290651 | − | 0.0663391i | ||||
\(624\) | 1.84149e12 | − | 4.20307e11i | 0.486225 | − | 0.110978i | ||||
\(625\) | −8.23290e11 | − | 1.03237e12i | −0.215821 | − | 0.270630i | ||||
\(626\) | − | 1.89906e12i | − | 0.494259i | ||||||
\(627\) | −6.00499e12 | + | 4.78882e12i | −1.55170 | + | 1.23744i | ||||
\(628\) | −2.80214e11 | + | 5.81871e11i | −0.0718905 | + | 0.149282i | ||||
\(629\) | −6.68115e11 | + | 8.37790e11i | −0.170186 | + | 0.213406i | ||||
\(630\) | −1.81918e12 | − | 1.45075e12i | −0.460091 | − | 0.366910i | ||||
\(631\) | −4.68738e12 | + | 2.25732e12i | −1.17706 | + | 0.566842i | −0.917053 | − | 0.398765i | \(-0.869439\pi\) |
−0.260006 | + | 0.965607i | \(0.583725\pi\) | |||||||
\(632\) | −7.71960e10 | − | 3.38218e11i | −0.0192472 | − | 0.0843276i | ||||
\(633\) | −5.93156e11 | + | 2.59879e12i | −0.146843 | + | 0.643360i | ||||
\(634\) | −7.26558e11 | − | 3.49892e11i | −0.178595 | − | 0.0860067i | ||||
\(635\) | −2.32001e12 | − | 4.81755e12i | −0.566249 | − | 1.17583i | ||||
\(636\) | 2.58547e12 | + | 5.90117e11i | 0.626589 | + | 0.143015i | ||||
\(637\) | −4.80129e11 | −0.115539 | ||||||||
\(638\) | −1.56070e12 | − | 1.09833e13i | −0.372929 | − | 2.62445i | ||||
\(639\) | −4.29296e12 | −1.01860 | ||||||||
\(640\) | 6.74795e11 | + | 1.54018e11i | 0.158987 | + | 0.0362878i | ||||
\(641\) | 3.62409e12 | + | 7.52549e12i | 0.847886 | + | 1.76065i | 0.615698 | + | 0.787982i | \(0.288874\pi\) |
0.232188 | + | 0.972671i | \(0.425411\pi\) | |||||||
\(642\) | 2.76685e12 | + | 1.33244e12i | 0.642802 | + | 0.309557i | ||||
\(643\) | −9.71439e11 | + | 4.25615e12i | −0.224113 | + | 0.981901i | 0.730233 | + | 0.683198i | \(0.239411\pi\) |
−0.954346 | + | 0.298703i | \(0.903446\pi\) | |||||||
\(644\) | 3.30380e11 | + | 1.44749e12i | 0.0756881 | + | 0.331611i | ||||
\(645\) | 1.80430e12 | − | 8.68907e11i | 0.410479 | − | 0.197676i | ||||
\(646\) | 3.32456e12 | + | 2.65125e12i | 0.751083 | + | 0.598968i | ||||
\(647\) | −9.68957e11 | + | 1.21503e12i | −0.217388 | + | 0.272596i | −0.878553 | − | 0.477644i | \(-0.841491\pi\) |
0.661165 | + | 0.750240i | \(0.270062\pi\) | |||||||
\(648\) | 1.20467e10 | − | 2.50153e10i | 0.00268400 | − | 0.00557338i | ||||
\(649\) | 9.43187e11 | − | 7.52167e11i | 0.208688 | − | 0.166423i | ||||
\(650\) | − | 2.51732e12i | − | 0.553131i | ||||||
\(651\) | −2.17364e12 | − | 2.72566e12i | −0.474322 | − | 0.594781i | ||||
\(652\) | 3.55547e12 | − | 8.11513e11i | 0.770518 | − | 0.175866i | ||||
\(653\) | 3.24226e12 | − | 7.40024e11i | 0.697812 | − | 0.159271i | 0.141123 | − | 0.989992i | \(-0.454929\pi\) |
0.556689 | + | 0.830721i | \(0.312072\pi\) | |||||||
\(654\) | 8.70452e11 | + | 1.09151e12i | 0.186057 | + | 0.233308i | ||||
\(655\) | 4.69671e12i | 0.997030i | ||||||||
\(656\) | −3.85409e12 | + | 3.07353e12i | −0.812558 | + | 0.647993i | ||||
\(657\) | −1.03943e12 | + | 2.15840e12i | −0.217647 | + | 0.451948i | ||||
\(658\) | 4.95485e12 | − | 6.21319e12i | 1.03042 | − | 1.29211i | ||||
\(659\) | −4.13269e12 | − | 3.29571e12i | −0.853589 | − | 0.680714i | 0.0956007 | − | 0.995420i | \(-0.469523\pi\) |
−0.949189 | + | 0.314706i | \(0.898094\pi\) | |||||||
\(660\) | −4.11412e12 | + | 1.98126e12i | −0.843975 | + | 0.406437i | ||||
\(661\) | 8.02800e11 | + | 3.51730e12i | 0.163569 | + | 0.716643i | 0.988476 | + | 0.151375i | \(0.0483700\pi\) |
−0.824907 | + | 0.565268i | \(0.808773\pi\) | |||||||
\(662\) | −2.88315e12 | + | 1.26319e13i | −0.583454 | + | 2.55628i | ||||
\(663\) | 9.60796e11 | + | 4.62695e11i | 0.193117 | + | 0.0930002i | ||||
\(664\) | −2.72466e11 | − | 5.65780e11i | −0.0543945 | − | 0.112951i | ||||
\(665\) | 5.72703e12 | + | 1.30716e12i | 1.13562 | + | 0.259197i | ||||
\(666\) | 3.00147e12 | 0.591154 | ||||||||
\(667\) | −1.73114e12 | − | 1.44445e11i | −0.338662 | − | 0.0282577i | ||||
\(668\) | −2.26121e12 | −0.439387 | ||||||||
\(669\) | −4.28376e12 | − | 9.77741e11i | −0.826814 | − | 0.188715i | ||||
\(670\) | 8.82039e10 | + | 1.83157e11i | 0.0169103 | + | 0.0351146i | ||||
\(671\) | −7.05413e12 | − | 3.39709e12i | −1.34336 | − | 0.646927i | ||||
\(672\) | 9.99916e11 | − | 4.38092e12i | 0.189148 | − | 0.828712i | ||||
\(673\) | −1.54664e12 | − | 6.77626e12i | −0.290617 | − | 1.27328i | −0.883669 | − | 0.468111i | \(-0.844935\pi\) |
0.593053 | − | 0.805164i | \(-0.297923\pi\) | |||||||
\(674\) | −6.70673e12 | + | 3.22979e12i | −1.25182 | + | 0.602844i | ||||
\(675\) | 1.93186e12 | + | 1.54061e12i | 0.358186 | + | 0.285644i | ||||
\(676\) | 1.00116e12 | − | 1.25541e12i | 0.184392 | − | 0.231220i | ||||
\(677\) | 7.03588e11 | − | 1.46102e12i | 0.128727 | − | 0.267304i | −0.826637 | − | 0.562735i | \(-0.809749\pi\) |
0.955364 | + | 0.295431i | \(0.0954633\pi\) | |||||||
\(678\) | 6.13175e11 | − | 4.88991e11i | 0.111443 | − | 0.0888724i | ||||
\(679\) | 4.73916e12i | 0.855632i | ||||||||
\(680\) | 1.12108e11 | + | 1.40579e11i | 0.0201070 | + | 0.0252134i | ||||
\(681\) | 2.88540e12 | − | 6.58574e11i | 0.514096 | − | 0.117339i | ||||
\(682\) | 1.87203e13 | − | 4.27279e12i | 3.31348 | − | 0.756280i | ||||
\(683\) | 2.88502e12 | + | 3.61770e12i | 0.507289 | + | 0.636120i | 0.967856 | − | 0.251505i | \(-0.0809254\pi\) |
−0.460567 | + | 0.887625i | \(0.652354\pi\) | |||||||
\(684\) | − | 6.17489e12i | − | 1.07864i | ||||||
\(685\) | −2.50371e12 | + | 1.99664e12i | −0.434487 | + | 0.346492i | ||||
\(686\) | −3.82910e12 | + | 7.95121e12i | −0.660143 | + | 1.37080i | ||||
\(687\) | 1.82290e12 | − | 2.28584e12i | 0.312217 | − | 0.391508i | ||||
\(688\) | −4.06077e12 | − | 3.23836e12i | −0.690972 | − | 0.551032i | ||||
\(689\) | 4.24571e12 | − | 2.04462e12i | 0.717734 | − | 0.345643i | ||||
\(690\) | 3.06909e11 | + | 1.34466e12i | 0.0515453 | + | 0.225835i | ||||
\(691\) | 3.85927e10 | − | 1.69086e11i | 0.00643952 | − | 0.0282134i | −0.971606 | − | 0.236604i | \(-0.923965\pi\) |
0.978046 | + | 0.208391i | \(0.0668226\pi\) | |||||||
\(692\) | −7.58902e12 | − | 3.65468e12i | −1.25808 | − | 0.605859i | ||||
\(693\) | −2.67015e12 | − | 5.54462e12i | −0.439780 | − | 0.913213i | ||||
\(694\) | −4.86427e12 | − | 1.11024e12i | −0.795977 | − | 0.181676i | ||||
\(695\) | 2.51077e12 | 0.408203 | ||||||||
\(696\) | −3.75698e11 | − | 2.21161e11i | −0.0606872 | − | 0.0357246i | ||||
\(697\) | −2.78313e12 | −0.446669 | ||||||||
\(698\) | −2.90069e12 | − | 6.62063e11i | −0.462543 | − | 0.105572i | ||||
\(699\) | 2.22053e12 | + | 4.61098e12i | 0.351811 | + | 0.730544i | ||||
\(700\) | −2.58185e12 | − | 1.24336e12i | −0.406435 | − | 0.195729i | ||||
\(701\) | −4.77800e11 | + | 2.09338e12i | −0.0747334 | + | 0.327429i | −0.998451 | − | 0.0556469i | \(-0.982278\pi\) |
0.923717 | + | 0.383075i | \(0.125135\pi\) | |||||||
\(702\) | −1.78614e12 | − | 7.82559e12i | −0.277587 | − | 1.21619i | ||||
\(703\) | −6.82713e12 | + | 3.28777e12i | −1.05424 | + | 0.507695i | ||||
\(704\) | 1.07497e13 | + | 8.57256e12i | 1.64937 | + | 1.31533i | ||||
\(705\) | 2.38629e12 | − | 2.99231e12i | 0.363808 | − | 0.456200i | ||||
\(706\) | −3.78184e12 | + | 7.85307e12i | −0.572904 | + | 1.18965i | ||||
\(707\) | −2.57215e12 | + | 2.05122e12i | −0.387177 | + | 0.308763i | ||||
\(708\) | − | 6.66562e11i | − | 0.0996991i | ||||||
\(709\) | −8.03098e11 | − | 1.00705e12i | −0.119360 | − | 0.149673i | 0.718561 | − | 0.695464i | \(-0.244801\pi\) |
−0.837922 | + | 0.545790i | \(0.816230\pi\) | |||||||
\(710\) | 1.21170e13 | − | 2.76563e12i | 1.78950 | − | 0.408443i | ||||
\(711\) | 3.08649e12 | − | 7.04472e11i | 0.452952 | − | 0.103383i | ||||
\(712\) | 1.51280e11 | + | 1.89699e11i | 0.0220608 | + | 0.0276634i | ||||
\(713\) | − | 3.00683e12i | − | 0.435719i | ||||||
\(714\) | 1.83072e12 | − | 1.45995e12i | 0.263622 | − | 0.210231i | ||||
\(715\) | −3.52057e12 | + | 7.31055e12i | −0.503775 | + | 1.04610i | ||||
\(716\) | −4.22263e12 | + | 5.29501e12i | −0.600446 | + | 0.752936i | ||||
\(717\) | −4.69755e12 | − | 3.74617e12i | −0.663797 | − | 0.529360i | ||||
\(718\) | 1.14797e13 | − | 5.52831e12i | 1.61201 | − | 0.776305i | ||||
\(719\) | 8.62783e11 | + | 3.78010e12i | 0.120399 | + | 0.527501i | 0.998773 | + | 0.0495272i | \(0.0157715\pi\) |
−0.878374 | + | 0.477974i | \(0.841371\pi\) | |||||||
\(720\) | −6.46728e11 | + | 2.83350e12i | −0.0896861 | + | 0.392941i | ||||
\(721\) | −7.47609e12 | − | 3.60029e12i | −1.03030 | − | 0.496168i | ||||
\(722\) | 8.48146e12 | + | 1.76119e13i | 1.16159 | + | 2.41207i | ||||
\(723\) | −5.11128e12 | − | 1.16662e12i | −0.695676 | − | 0.158783i | ||||
\(724\) | −6.40297e12 | −0.866080 | ||||||||
\(725\) | 2.30122e12 | − | 2.43849e12i | 0.309341 | − | 0.327793i | ||||
\(726\) | −1.64111e13 | −2.19242 | ||||||||
\(727\) | −8.51840e12 | − | 1.94427e12i | −1.13097 | − | 0.258138i | −0.384223 | − | 0.923240i | \(-0.625531\pi\) |
−0.746752 | + | 0.665103i | \(0.768388\pi\) | |||||||
\(728\) | 2.87274e11 | + | 5.96530e11i | 0.0379057 | + | 0.0787120i | ||||
\(729\) | 4.68538e12 | + | 2.25636e12i | 0.614428 | + | 0.295893i | ||||
\(730\) | 1.54334e12 | − | 6.76179e12i | 0.201144 | − | 0.881270i | ||||
\(731\) | −6.52517e11 | − | 2.85886e12i | −0.0845208 | − | 0.370310i | ||||
\(732\) | −3.89762e12 | + | 1.87699e12i | −0.501764 | + | 0.241637i | ||||
\(733\) | 1.01626e13 | + | 8.10442e12i | 1.30028 | + | 1.03694i | 0.996448 | + | 0.0842158i | \(0.0268385\pi\) |
0.303835 | + | 0.952725i | \(0.401733\pi\) | |||||||
\(734\) | −5.74259e12 | + | 7.20098e12i | −0.730256 | + | 0.915712i | ||||
\(735\) | −2.20298e11 | + | 4.57454e11i | −0.0278432 | + | 0.0578169i | ||||
\(736\) | 3.03010e12 | − | 2.41642e12i | 0.380633 | − | 0.303545i | ||||
\(737\) | 5.37667e11i | 0.0671289i | ||||||||
\(738\) | 4.86044e12 | + | 6.09480e12i | 0.603146 | + | 0.756321i | ||||
\(739\) | 3.84410e12 | − | 8.77391e11i | 0.474127 | − | 0.108216i | 0.0212215 | − | 0.999775i | \(-0.493244\pi\) |
0.452906 | + | 0.891558i | \(0.350387\pi\) | |||||||
\(740\) | −4.39207e12 | + | 1.00246e12i | −0.538427 | + | 0.122892i | ||||
\(741\) | 4.70173e12 | + | 5.89578e12i | 0.572895 | + | 0.718388i | ||||
\(742\) | − | 1.03473e13i | − | 1.25317i | ||||||
\(743\) | 3.23163e12 | − | 2.57714e12i | 0.389020 | − | 0.310233i | −0.409376 | − | 0.912366i | \(-0.634254\pi\) |
0.798396 | + | 0.602133i | \(0.205682\pi\) | |||||||
\(744\) | 3.27408e11 | − | 6.79869e11i | 0.0391752 | − | 0.0813480i | ||||
\(745\) | 1.66529e12 | − | 2.08821e12i | 0.198055 | − | 0.248354i | ||||
\(746\) | −3.30386e12 | − | 2.63474e12i | −0.390569 | − | 0.311468i | ||||
\(747\) | 5.16317e12 | − | 2.48645e12i | 0.606700 | − | 0.292171i | ||||
\(748\) | 1.48785e12 | + | 6.51869e12i | 0.173781 | + | 0.761384i | ||||
\(749\) | 1.38230e12 | − | 6.05626e12i | 0.160485 | − | 0.703131i | ||||
\(750\) | −7.71989e12 | − | 3.71770e12i | −0.890913 | − | 0.429041i | ||||
\(751\) | −4.47811e12 | − | 9.29890e12i | −0.513707 | − | 1.06672i | −0.982987 | − | 0.183674i | \(-0.941201\pi\) |
0.469280 | − | 0.883049i | \(-0.344513\pi\) | |||||||
\(752\) | −9.67746e12 | − | 2.20882e12i | −1.10352 | − | 0.251872i | ||||
\(753\) | 7.34849e12 | 0.832954 | ||||||||
\(754\) | −1.07835e13 | + | 1.53232e12i | −1.21504 | + | 0.172654i | ||||
\(755\) | 1.15981e13 | 1.29905 | ||||||||
\(756\) | −8.90844e12 | − | 2.03329e12i | −0.991867 | − | 0.226387i | ||||
\(757\) | 2.37320e12 | + | 4.92799e12i | 0.262665 | + | 0.545429i | 0.990036 | − | 0.140815i | \(-0.0449723\pi\) |
−0.727371 | + | 0.686244i | \(0.759258\pi\) | |||||||
\(758\) | 1.47663e13 | + | 7.11106e12i | 1.62465 | + | 0.782389i | ||||
\(759\) | −8.11725e11 | + | 3.55640e12i | −0.0887812 | + | 0.388976i | ||||
\(760\) | 2.82934e11 | + | 1.23961e12i | 0.0307627 | + | 0.134780i | ||||
\(761\) | 1.29271e13 | − | 6.22537e12i | 1.39724 | − | 0.672875i | 0.424640 | − | 0.905362i | \(-0.360401\pi\) |
0.972599 | + | 0.232487i | \(0.0746863\pi\) | |||||||
\(762\) | −1.17839e13 | − | 9.39734e12i | −1.26617 | − | 1.00973i | ||||
\(763\) | 1.76077e12 | − | 2.20793e12i | 0.188080 | − | 0.235844i | ||||
\(764\) | −1.11508e11 | + | 2.31549e11i | −0.0118409 | + | 0.0245880i | ||||
\(765\) | −1.28289e12 | + | 1.02307e12i | −0.135429 | + | 0.108001i | ||||
\(766\) | − | 1.85289e13i | − | 1.94455i | ||||||
\(767\) | −7.38487e11 | − | 9.26034e11i | −0.0770484 | − | 0.0966157i | ||||
\(768\) | −4.97758e12 | + | 1.13610e12i | −0.516289 | + | 0.117839i | ||||
\(769\) | −1.44387e13 | + | 3.29554e12i | −1.48888 | + | 0.339827i | −0.888123 | − | 0.459606i | \(-0.847991\pi\) |
−0.600756 | + | 0.799433i | \(0.705134\pi\) | |||||||
\(770\) | 1.11086e13 | + | 1.39297e13i | 1.13881 | + | 1.42802i | ||||
\(771\) | 1.92362e12i | 0.196053i | ||||||||
\(772\) | 9.27316e12 | − | 7.39510e12i | 0.939615 | − | 0.749318i | ||||
\(773\) | −9.76286e11 | + | 2.02728e12i | −0.0983489 | + | 0.204224i | −0.944338 | − | 0.328976i | \(-0.893296\pi\) |
0.845989 | + | 0.533200i | \(0.179011\pi\) | |||||||
\(774\) | −5.12110e12 | + | 6.42165e12i | −0.512895 | + | 0.643150i | ||||
\(775\) | 4.53734e12 | + | 3.61841e12i | 0.451797 | + | 0.360296i | ||||
\(776\) | −9.24205e11 | + | 4.45073e11i | −0.0914935 | + | 0.0440610i | ||||
\(777\) | 9.28513e11 | + | 4.06808e12i | 0.0913889 | + | 0.400401i | ||||
\(778\) | −4.74169e11 | + | 2.07747e12i | −0.0464007 | + | 0.203295i | ||||
\(779\) | −1.77317e13 | − | 8.53913e12i | −1.72517 | − | 0.830797i | ||||
\(780\) | 1.94522e12 | + | 4.03930e12i | 0.188167 | + | 0.390733i | ||||
\(781\) | 3.20475e13 | + | 7.31463e12i | 3.08223 | + | 0.703498i | ||||
\(782\) | 2.01958e12 | 0.193121 | ||||||||
\(783\) | 5.42360e12 | − | 9.21336e12i | 0.515656 | − | 0.875971i | ||||
\(784\) | 1.31684e12 | 0.124483 | ||||||||
\(785\) | 1.18316e12 | + | 2.70048e11i | 0.111206 | + | 0.0253821i | ||||
\(786\) | 5.74416e12 | + | 1.19279e13i | 0.536816 | + | 1.11471i | ||||
\(787\) | −1.40673e13 | − | 6.77445e12i | −1.30715 | − | 0.629488i | −0.354924 | − | 0.934895i | \(-0.615493\pi\) |
−0.952222 | + | 0.305407i | \(0.901207\pi\) | |||||||
\(788\) | 3.69986e12 | − | 1.62102e13i | 0.341836 | − | 1.49768i | ||||
\(789\) | 2.58039e12 | + | 1.13054e13i | 0.237049 | + | 1.03858i | ||||
\(790\) | −8.25789e12 | + | 3.97679e12i | −0.754305 | + | 0.363254i | ||||
\(791\) | −1.24034e12 | − | 9.89140e11i | −0.112654 | − | 0.0898387i | ||||
\(792\) | 8.30517e11 | − | 1.04144e12i | 0.0750041 | − | 0.0940522i | ||||
\(793\) | −3.33531e12 | + | 6.92584e12i | −0.299507 | + | 0.621932i | ||||
\(794\) | 4.51406e12 | − | 3.59984e12i | 0.403065 | − | 0.321433i | ||||
\(795\) | − | 4.98334e12i | − | 0.442455i | ||||||
\(796\) | −4.17429e12 | − | 5.23439e12i | −0.368530 | − | 0.462122i | ||||
\(797\) | 1.52134e13 | − | 3.47237e12i | 1.33557 | − | 0.304834i | 0.505657 | − | 0.862734i | \(-0.331250\pi\) |
0.829908 | + | 0.557900i | \(0.188393\pi\) | |||||||
\(798\) | 1.61432e13 | − | 3.68457e12i | 1.40921 | − | 0.321643i | ||||
\(799\) | −3.49417e12 | − | 4.38155e12i | −0.303307 | − | 0.380335i | ||||
\(800\) | 7.48036e12i | 0.645680i | ||||||||
\(801\) | −1.73115e12 | + | 1.38054e12i | −0.148589 | + | 0.118496i | ||||
\(802\) | 3.20092e12 | − | 6.64677e12i | 0.273206 | − | 0.567317i | ||||
\(803\) | 1.14371e13 | − | 1.43417e13i | 0.970728 | − | 1.21725i | ||||
\(804\) | 2.32264e11 | + | 1.85225e11i | 0.0196034 | + | 0.0156332i | ||||
\(805\) | 2.51366e12 | − | 1.21051e12i | 0.210972 | − | 0.101599i | ||||
\(806\) | −4.19509e12 | − | 1.83799e13i | −0.350133 | − | 1.53403i | ||||
\(807\) | 2.56725e12 | − | 1.12478e13i | 0.213077 | − | 0.933551i | ||||
\(808\) | −6.41580e11 | − | 3.08969e11i | −0.0529541 | − | 0.0255014i | ||||
\(809\) | −1.87901e11 | − | 3.90181e11i | −0.0154227 | − | 0.0320256i | 0.893115 | − | 0.449828i | \(-0.148515\pi\) |
−0.908538 | + | 0.417802i | \(0.862800\pi\) | |||||||
\(810\) | −7.15161e11 | − | 1.63231e11i | −0.0583742 | − | 0.0133235i | ||||
\(811\) | 1.41234e13 | 1.14642 | 0.573212 | − | 0.819407i | \(-0.305697\pi\) | ||||
0.573212 | + | 0.819407i | \(0.305697\pi\) | |||||||
\(812\) | −3.75460e12 | + | 1.18168e13i | −0.303083 | + | 0.953890i | ||||
\(813\) | 2.54095e12 | 0.203981 | ||||||||
\(814\) | −2.24064e13 | − | 5.11412e12i | −1.78880 | − | 0.408283i | ||||
\(815\) | −2.97339e12 | − | 6.17430e12i | −0.236071 | − | 0.490206i | ||||
\(816\) | −2.63516e12 | − | 1.26903e12i | −0.208066 | − | 0.100199i | ||||
\(817\) | 4.61422e12 | − | 2.02162e13i | 0.362326 | − | 1.58745i | ||||
\(818\) | 3.31293e12 | + | 1.45149e13i | 0.258716 | + | 1.13351i | ||||
\(819\) | −5.44378e12 | + | 2.62159e12i | −0.422788 | + | 0.203604i | ||||
\(820\) | −9.14791e12 | − | 7.29521e12i | −0.706577 | − | 0.563476i | ||||
\(821\) | −9.29982e12 | + | 1.16616e13i | −0.714381 | + | 0.895806i | −0.998005 | − | 0.0631297i | \(-0.979892\pi\) |
0.283624 | + | 0.958936i | \(0.408463\pi\) | |||||||
\(822\) | −3.91655e12 | + | 8.13281e12i | −0.299213 | + | 0.621323i | ||||
\(823\) | −6.86846e12 | + | 5.47741e12i | −0.521867 | + | 0.416175i | −0.848674 | − | 0.528916i | \(-0.822599\pi\) |
0.326807 | + | 0.945091i | \(0.394027\pi\) | |||||||
\(824\) | − | 1.79606e12i | − | 0.135722i | ||||||
\(825\) | −4.38982e12 | − | 5.50466e12i | −0.329916 | − | 0.413702i | ||||
\(826\) | −2.53556e12 | + | 5.78726e11i | −0.189524 | + | 0.0432576i | ||||
\(827\) | −7.14672e11 | + | 1.63119e11i | −0.0531290 | + | 0.0121264i | −0.249003 | − | 0.968503i | \(-0.580103\pi\) |
0.195874 | + | 0.980629i | \(0.437246\pi\) | |||||||
\(828\) | −1.82851e12 | − | 2.29288e12i | −0.135195 | − | 0.169530i | ||||
\(829\) | − | 7.92846e12i | − | 0.583033i | −0.956566 | − | 0.291517i | \(-0.905840\pi\) | ||
0.956566 | − | 0.291517i | \(-0.0941599\pi\) | |||||||
\(830\) | −1.29714e13 | + | 1.03443e13i | −0.948713 | + | 0.756573i | ||||
\(831\) | 4.13043e12 | − | 8.57692e12i | 0.300463 | − | 0.623917i | ||||
\(832\) | 8.41665e12 | − | 1.05542e13i | 0.608954 | − | 0.763604i | ||||
\(833\) | 5.81262e11 | + | 4.63541e11i | 0.0418282 | + | 0.0333569i | ||||
\(834\) | 6.37641e12 | − | 3.07072e12i | 0.456383 | − | 0.219782i | ||||
\(835\) | 9.45508e11 | + | 4.14254e12i | 0.0673094 | + | 0.294902i | ||||
\(836\) | −1.05212e13 | + | 4.60964e13i | −0.744968 | + | 3.26392i | ||||
\(837\) | 1.66727e13 | + | 8.02913e12i | 1.17419 | + | 0.565462i | ||||
\(838\) | −1.08310e13 | − | 2.24909e13i | −0.758704 | − | 1.57546i | ||||
\(839\) | −2.54181e13 | − | 5.80151e12i | −1.77098 | − | 0.404215i | −0.792387 | − | 0.610019i | \(-0.791162\pi\) |
−0.978593 | + | 0.205804i | \(0.934019\pi\) | |||||||
\(840\) | 7.00169e11 | 0.0485228 | ||||||||
\(841\) | −1.18466e13 | − | 8.37348e12i | −0.816605 | − | 0.577197i | ||||
\(842\) | 1.41633e13 | 0.971091 | ||||||||
\(843\) | 7.98463e12 | + | 1.82244e12i | 0.544541 | + | 0.124288i | ||||
\(844\) | 7.11979e12 | + | 1.47844e13i | 0.482977 | + | 1.00291i | ||||
\(845\) | −2.71854e12 | − | 1.30918e12i | −0.183434 | − | 0.0883373i | ||||
\(846\) | −3.49299e12 | + | 1.53038e13i | −0.234440 | + | 1.02715i | ||||
\(847\) | 7.38697e12 | + | 3.23644e13i | 0.493163 | + | 2.16069i | ||||
\(848\) | −1.16446e13 | + | 5.60776e12i | −0.773294 | + | 0.372399i | ||||
\(849\) | 1.04829e13 | + | 8.35985e12i | 0.692464 | + | 0.552222i | ||||
\(850\) | −2.43035e12 | + | 3.04756e12i | −0.159692 | + | 0.200248i | ||||
\(851\) | −1.56150e12 | + | 3.24248e12i | −0.102061 | + | 0.211931i | ||||
\(852\) | 1.42001e13 | − | 1.13242e13i | 0.923236 | − | 0.736256i | ||||
\(853\) | 9.85374e12i | 0.637280i | 0.947876 | + | 0.318640i | \(0.103226\pi\) | ||||
−0.947876 | + | 0.318640i | \(0.896774\pi\) | |||||||
\(854\) | 1.05240e13 | + | 1.31967e13i | 0.677048 | + | 0.848992i | ||||
\(855\) | −1.13124e13 | + | 2.58198e12i | −0.723948 | + | 0.165237i | ||||
\(856\) | 1.31088e12 | − | 2.99199e11i | 0.0834507 | − | 0.0190471i | ||||
\(857\) | −1.21420e13 | − | 1.52256e13i | −0.768911 | − | 0.964184i | 0.231051 | − | 0.972942i | \(-0.425784\pi\) |
−0.999962 | + | 0.00875771i | \(0.997212\pi\) | |||||||
\(858\) | 2.28717e13i | 1.44081i | ||||||||
\(859\) | 1.70271e13 | − | 1.35787e13i | 1.06702 | − | 0.850919i | 0.0777426 | − | 0.996973i | \(-0.475229\pi\) |
0.989277 | + | 0.146054i | \(0.0466573\pi\) | |||||||
\(860\) | 5.34896e12 | − | 1.11072e13i | 0.333447 | − | 0.692409i | ||||
\(861\) | −6.75707e12 | + | 8.47310e12i | −0.419029 | + | 0.525446i | ||||
\(862\) | −3.38155e12 | − | 2.69670e12i | −0.208609 | − | 0.166360i | ||||
\(863\) | −2.40279e13 | + | 1.15712e13i | −1.47458 | + | 0.710119i | −0.986664 | − | 0.162773i | \(-0.947956\pi\) |
−0.487914 | + | 0.872892i | \(0.662242\pi\) | |||||||
\(864\) | 5.30762e12 | + | 2.32542e13i | 0.324032 | + | 1.41968i | ||||
\(865\) | −3.52209e12 | + | 1.54313e13i | −0.213908 | + | 0.937193i | ||||
\(866\) | 1.17832e12 | + | 5.67450e11i | 0.0711923 | + | 0.0342844i | ||||
\(867\) | 3.89066e12 | + | 8.07904e12i | 0.233850 | + | 0.485595i | ||||
\(868\) | −2.09231e13 | − | 4.77557e12i | −1.25109 | − | 0.285553i | ||||
\(869\) | −2.42414e13 | −1.44201 | ||||||||
\(870\) | −3.48787e12 | + | 1.09773e13i | −0.206406 | + | 0.649621i | ||||
\(871\) | 5.27889e11 | 0.0310785 | ||||||||
\(872\) | 5.95940e11 | + | 1.36019e11i | 0.0349042 | + | 0.00796666i | ||||
\(873\) | −4.06163e12 | − | 8.43406e12i | −0.236666 | − | 0.491442i | ||||
\(874\) | 1.28670e13 | + | 6.19641e12i | 0.745891 | + | 0.359202i | ||||
\(875\) | −3.85682e12 | + | 1.68978e13i | −0.222430 | + | 0.974528i | ||||
\(876\) | −2.25536e12 | − | 9.88136e12i | −0.129404 | − | 0.566955i | ||||
\(877\) | −3.35293e12 | + | 1.61468e12i | −0.191393 | + | 0.0921700i | −0.527126 | − | 0.849787i | \(-0.676730\pi\) |
0.335733 | + | 0.941957i | \(0.391016\pi\) | |||||||
\(878\) | −1.70777e13 | − | 1.36190e13i | −0.969847 | − | 0.773427i | ||||
\(879\) | −3.48127e12 | + | 4.36538e12i | −0.196693 | + | 0.246645i | ||||
\(880\) | 9.65582e12 | − | 2.00505e13i | 0.542772 | − | 1.12708i | ||||
\(881\) | 2.40368e13 | − | 1.91687e13i | 1.34427 | − | 1.07202i | 0.353646 | − | 0.935379i | \(-0.384942\pi\) |
0.990621 | − | 0.136638i | \(-0.0436296\pi\) | |||||||
\(882\) | − | 2.08244e12i | − | 0.115868i | ||||||
\(883\) | 1.28505e13 | + | 1.61141e13i | 0.711375 | + | 0.892036i | 0.997815 | − | 0.0660624i | \(-0.0210436\pi\) |
−0.286441 | + | 0.958098i | \(0.592472\pi\) | |||||||
\(884\) | 6.40014e12 | − | 1.46079e12i | 0.352496 | − | 0.0804550i | ||||
\(885\) | −1.22114e12 | + | 2.78718e11i | −0.0669148 | + | 0.0152729i | ||||
\(886\) | 2.72911e12 | + | 3.42220e12i | 0.148789 | + | 0.186575i | ||||
\(887\) | 1.14268e13i | 0.619824i | 0.950765 | + | 0.309912i | \(0.100300\pi\) | ||||
−0.950765 | + | 0.309912i | \(0.899700\pi\) | |||||||
\(888\) | −7.06134e11 | + | 5.63123e11i | −0.0381091 | + | 0.0303910i | ||||
\(889\) | −1.32284e13 | + | 2.74690e13i | −0.710310 | + | 1.47497i | ||||
\(890\) | 3.99684e12 | − | 5.01187e12i | 0.213531 | − | 0.267760i | ||||
\(891\) | −1.51685e12 | − | 1.20965e12i | −0.0806294 | − | 0.0642998i | ||||
\(892\) | −2.43702e13 | + | 1.17361e13i | −1.28889 | + | 0.620698i | ||||
\(893\) | −8.81844e12 | − | 3.86361e13i | −0.464045 | − | 2.03311i | ||||
\(894\) | 1.67529e12 | − | 7.33994e12i | 0.0877146 | − | 0.384303i | ||||
\(895\) | 1.14661e13 | + | 5.52179e12i | 0.597328 | + | 0.287658i | ||||
\(896\) | −1.71234e12 | − | 3.55570e12i | −0.0887571 | − | 0.184306i | ||||
\(897\) | 3.49172e12 | + | 7.96963e11i | 0.180083 | + | 0.0411029i | ||||
\(898\) | 4.76161e13 | 2.44349 | ||||||||
\(899\) | 1.27384e13 | − | 2.16393e13i | 0.650421 | − | 1.10490i | ||||
\(900\) | 5.66041e12 | 0.287578 | ||||||||
\(901\) | −7.11400e12 | − | 1.62372e12i | −0.359627 | − | 0.0820826i | ||||
\(902\) | −2.58991e13 | − | 5.37801e13i | −1.30273 | − | 2.70515i | ||||
\(903\) | −1.02879e13 | − | 4.95438e12i | −0.514910 | − | 0.247968i | ||||
\(904\) | 7.64111e10 | − | 3.34779e11i | 0.00380538 | − | 0.0166725i | ||||
\(905\) | 2.67735e12 | + | 1.17302e13i | 0.132674 | + | 0.581284i | ||||
\(906\) | 2.94547e13 | − | 1.41847e13i | 1.45237 | − | 0.699426i | ||||
\(907\) | 1.46168e13 | + | 1.16565e13i | 0.717164 | + | 0.571919i | 0.912628 | − | 0.408792i | \(-0.134050\pi\) |
−0.195464 | + | 0.980711i | \(0.562621\pi\) | |||||||
\(908\) | 1.13595e13 | − | 1.42444e13i | 0.554591 | − | 0.695435i | ||||
\(909\) | 2.81957e12 | − | 5.85490e12i | 0.136976 | − | 0.284434i | ||||
\(910\) | 1.36764e13 | − | 1.09065e13i | 0.661126 | − | 0.527230i | ||||
\(911\) | − | 1.62938e13i | − | 0.783770i | −0.920014 | − | 0.391885i | \(-0.871823\pi\) | ||
0.920014 | − | 0.391885i | \(-0.128177\pi\) | |||||||
\(912\) | −1.28953e13 | − | 1.61703e13i | −0.617243 | − | 0.773998i | ||||
\(913\) | −4.27804e13 | + | 9.76434e12i | −2.03763 | + | 0.465076i | ||||
\(914\) | −2.67241e13 | + | 6.09959e12i | −1.26661 | + | 0.289097i | ||||
\(915\) | 5.06841e12 | + | 6.35559e12i | 0.239044 | + | 0.299751i | ||||
\(916\) | − | 1.79982e13i | − | 0.844694i | ||||||
\(917\) | 2.09374e13 | − | 1.66970e13i | 0.977825 | − | 0.779790i | ||||
\(918\) | −5.39286e12 | + | 1.11984e13i | −0.250627 | + | 0.520432i | ||||
\(919\) | −6.14780e12 | + | 7.70910e12i | −0.284315 | + | 0.356520i | −0.903396 | − | 0.428807i | \(-0.858934\pi\) |
0.619081 | + | 0.785327i | \(0.287505\pi\) | |||||||
\(920\) | 4.72135e11 | + | 3.76515e11i | 0.0217281 | + | 0.0173276i | ||||
\(921\) | −1.42328e13 | + | 6.85414e12i | −0.651810 | + | 0.313895i | ||||
\(922\) | −8.27957e12 | − | 3.62752e13i | −0.377328 | − | 1.65318i | ||||
\(923\) | 7.18161e12 | − | 3.14647e13i | 0.325697 | − | 1.42697i | ||||
\(924\) | 2.34581e13 | + | 1.12968e13i | 1.05869 | + | 0.509839i | ||||
\(925\) | −3.01384e12 | − | 6.25830e12i | −0.135357 | − | 0.281073i | ||||
\(926\) | 4.69088e13 | + | 1.07066e13i | 2.09655 | + | 0.478523i | ||||
\(927\) | 1.63904e13 | 0.729006 | ||||||||
\(928\) | 3.20438e13 | − | 4.55337e12i | 1.41833 | − | 0.201543i | ||||
\(929\) | −5.44286e12 | −0.239749 | −0.119874 | − | 0.992789i | \(-0.538249\pi\) | ||||
−0.119874 | + | 0.992789i | \(0.538249\pi\) | |||||||
\(930\) | −1.94367e13 | − | 4.43631e12i | −0.852020 | − | 0.194468i | ||||
\(931\) | 2.28107e12 | + | 4.73669e12i | 0.0995097 | + | 0.206634i | ||||
\(932\) | 2.83850e13 | + | 1.36695e13i | 1.23230 | + | 0.593446i | ||||
\(933\) | 3.88343e12 | − | 1.70144e13i | 0.167783 | − | 0.735105i | ||||
\(934\) | 1.45068e11 | + | 6.35583e11i | 0.00623749 | + | 0.0273282i | ||||
\(935\) | 1.13201e13 | − | 5.45148e12i | 0.484394 | − | 0.233272i | ||||
\(936\) | −1.02249e12 | − | 8.15413e11i | −0.0435432 | − | 0.0347245i | ||||
\(937\) | −1.93233e13 | + | 2.42307e13i | −0.818944 | + | 1.02692i | 0.180119 | + | 0.983645i | \(0.442352\pi\) |
−0.999063 | + | 0.0432782i | \(0.986220\pi\) | |||||||
\(938\) | 5.02926e11 | − | 1.04434e12i | 0.0212125 | − | 0.0440482i | ||||
\(939\) | −4.07718e12 | + | 3.25144e12i | −0.171145 | + | 0.136484i | ||||
\(940\) | − | 2.35608e13i | − | 0.984269i | ||||||
\(941\) | −8.26403e11 | − | 1.03628e12i | −0.0343588 | − | 0.0430846i | 0.764355 | − | 0.644795i | \(-0.223057\pi\) |
−0.798714 | + | 0.601711i | \(0.794486\pi\) | |||||||
\(942\) | 3.33505e12 | − | 7.61202e11i | 0.137998 | − | 0.0314971i | ||||
\(943\) | −9.11281e12 | + | 2.07994e12i | −0.375275 | + | 0.0856540i | ||||
\(944\) | 2.02544e12 | + | 2.53982e12i | 0.0830128 | + | 0.104095i | ||||
\(945\) | 1.71705e13i | 0.700389i | ||||||||
\(946\) | 4.91714e13 | − | 3.92128e13i | 1.99619 | − | 1.59191i | ||||
\(947\) | −1.13751e13 | + | 2.36206e13i | −0.459600 | + | 0.954369i | 0.534425 | + | 0.845216i | \(0.320528\pi\) |
−0.994025 | + | 0.109153i | \(0.965186\pi\) | |||||||
\(948\) | −8.35110e12 | + | 1.04719e13i | −0.335820 | + | 0.421104i | ||||
\(949\) | −1.40809e13 | − | 1.12291e13i | −0.563550 | − | 0.449416i | ||||
\(950\) | −2.48345e13 | + | 1.19597e13i | −0.989235 | + | 0.476390i | ||||
\(951\) | 4.92765e11 | + | 2.15894e12i | 0.0195356 | + | 0.0855912i | ||||
\(952\) | 2.28136e11 | − | 9.99531e11i | 0.00900178 | − | 0.0394394i | ||||
\(953\) | 3.80789e13 | + | 1.83378e13i | 1.49543 | + | 0.720161i | 0.989783 | − | 0.142580i | \(-0.0455399\pi\) |
0.505646 | + | 0.862741i | \(0.331254\pi\) | |||||||
\(954\) | 8.86804e12 | + | 1.84147e13i | 0.346625 | + | 0.719774i | ||||
\(955\) | 4.70824e11 | + | 1.07463e11i | 0.0183165 | + | 0.00418063i | ||||
\(956\) | −3.69874e13 | −1.43217 | ||||||||
\(957\) | −2.09083e13 | + | 2.21555e13i | −0.805779 | + | 0.853844i | ||||
\(958\) | −1.85150e13 | −0.710199 | ||||||||
\(959\) | 1.78016e13 | + | 4.06311e12i | 0.679636 | + | 0.155122i | ||||
\(960\) | −6.19390e12 | − | 1.28618e13i | −0.235366 | − | 0.488742i | ||||
\(961\) | 1.53376e13 | + | 7.38619e12i | 0.580098 | + | 0.279361i | ||||
\(962\) | −5.02111e12 | + | 2.19989e13i | −0.189022 | + | 0.828158i | ||||
\(963\) | 2.73042e12 | + | 1.19627e13i | 0.102308 | + | 0.448241i | ||||
\(964\) | −2.90779e13 | + | 1.40032e13i | −1.08447 | + | 0.522251i | ||||
\(965\) | −1.74253e13 | − | 1.38962e13i | −0.646857 | − | 0.515851i | ||||
\(966\) | 4.90326e12 | − | 6.14849e12i | 0.181171 | − | 0.227181i | ||||
\(967\) | 4.09925e12 | − | 8.51218e12i | 0.150760 | − | 0.313056i | −0.811888 | − | 0.583813i | \(-0.801560\pi\) |
0.962648 | + | 0.270758i | \(0.0872742\pi\) | |||||||
\(968\) | −5.61779e12 | + | 4.48004e12i | −0.205649 | + | 0.164000i | ||||
\(969\) | − | 1.16769e13i | − | 0.425473i | ||||||
\(970\) | 1.68975e13 | + | 2.11888e13i | 0.612844 | + | 0.768482i | ||||
\(971\) | −2.87460e13 | + | 6.56108e12i | −1.03774 | + | 0.236858i | −0.707260 | − | 0.706953i | \(-0.750069\pi\) |
−0.330484 | + | 0.943812i | \(0.607212\pi\) | |||||||
\(972\) | 2.86450e13 | − | 6.53802e12i | 1.02932 | − | 0.234935i | ||||
\(973\) | −8.92592e12 | − | 1.11927e13i | −0.319260 | − | 0.400340i | ||||
\(974\) | 6.01838e13i | 2.14272i | ||||||||
\(975\) | −5.40455e12 | + | 4.30998e12i | −0.191531 | + | 0.152741i | ||||
\(976\) | 9.14769e12 | − | 1.89954e13i | 0.322691 | − | 0.670076i | ||||
\(977\) | −1.31214e13 | + | 1.64537e13i | −0.460739 | + | 0.577749i | −0.956876 | − | 0.290495i | \(-0.906180\pi\) |
0.496137 | + | 0.868244i | \(0.334751\pi\) | |||||||
\(978\) | −1.51026e13 | − | 1.20439e13i | −0.527868 | − | 0.420961i | ||||
\(979\) | 1.52755e13 | − | 7.35630e12i | 0.531464 | − | 0.255939i | ||||
\(980\) | 6.95512e11 | + | 3.04724e12i | 0.0240873 | + | 0.105533i | ||||
\(981\) | −1.24128e12 | + | 5.43839e12i | −0.0427916 | + | 0.187482i | ||||
\(982\) | −5.81531e12 | − | 2.80051e12i | −0.199559 | − | 0.0961026i | ||||
\(983\) | 1.17582e13 | + | 2.44162e13i | 0.401653 | + | 0.834042i | 0.999475 | + | 0.0324122i | \(0.0103189\pi\) |
−0.597821 | + | 0.801629i | \(0.703967\pi\) | |||||||
\(984\) | −2.28696e12 | − | 5.21984e11i | −0.0777644 | − | 0.0177492i | ||||
\(985\) | −3.12441e13 | −1.05756 | ||||||||
\(986\) | 1.45343e13 | + | 8.55588e12i | 0.489720 | + | 0.288283i | ||||
\(987\) | −2.18228e13 | −0.731951 | ||||||||
\(988\) | 4.52581e13 | + | 1.03299e13i | 1.51109 | + | 0.344896i | ||||
\(989\) | −4.27307e12 | − | 8.87313e12i | −0.142022 | − | 0.294913i | ||||
\(990\) | −3.17076e13 | − | 1.52696e13i | −1.04907 | − | 0.505207i | ||||
\(991\) | 1.11042e13 | − | 4.86508e13i | 0.365727 | − | 1.60236i | −0.372653 | − | 0.927971i | \(-0.621552\pi\) |
0.738380 | − | 0.674385i | \(-0.235591\pi\) | |||||||
\(992\) | 1.24660e13 | + | 5.46169e13i | 0.408717 | + | 1.79071i | ||||
\(993\) | 3.20564e13 | − | 1.54376e13i | 1.04627 | − | 0.503857i | ||||
\(994\) | −5.54054e13 | − | 4.41843e13i | −1.80017 | − | 1.43559i | ||||
\(995\) | −7.84396e12 | + | 9.83601e12i | −0.253706 | + | 0.318138i | ||||
\(996\) | −1.05197e13 | + | 2.18443e13i | −0.338715 | + | 0.703349i | ||||
\(997\) | −2.20099e12 | + | 1.75523e12i | −0.0705488 | + | 0.0562608i | −0.658129 | − | 0.752905i | \(-0.728652\pi\) |
0.587580 | + | 0.809166i | \(0.300081\pi\) | |||||||
\(998\) | − | 1.97450e13i | − | 0.630042i | ||||||
\(999\) | −1.38097e13 | − | 1.73168e13i | −0.438670 | − | 0.550075i |
(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 | 29.10.e.a.4.4 | ✓ | 132 | |
29.22 | even | 14 | inner | 29.10.e.a.22.4 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.10.e.a.4.4 | ✓ | 132 | 1.1 | even | 1 | trivial | |
29.10.e.a.22.4 | yes | 132 | 29.22 | even | 14 | inner |