Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [7,17,Mod(3,7)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(7, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 17, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("7.3");
S:= CuspForms(chi, 17);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 7 \) |
Weight: | \( k \) | \(=\) | \( 17 \) |
Character orbit: | \([\chi]\) | \(=\) | 7.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.3627180700\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 2 x^{19} + 470221 x^{18} - 17792382 x^{17} + 149610140535 x^{16} - 5885709493452 x^{15} + \cdots + 26\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{38}\cdot 3^{16}\cdot 7^{22} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Root | \(-187.565 + 324.873i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 7.3 |
Dual form | 7.17.d.a.5.2 |
$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −183.065 | − | 317.078i | −0.715099 | − | 1.23859i | −0.962921 | − | 0.269782i | \(-0.913048\pi\) |
0.247823 | − | 0.968805i | \(-0.420285\pi\) | |||||||
\(3\) | −5337.54 | − | 3081.63i | −0.813526 | − | 0.469689i | 0.0346528 | − | 0.999399i | \(-0.488967\pi\) |
−0.848179 | + | 0.529710i | \(0.822301\pi\) | |||||||
\(4\) | −34257.8 | + | 59336.2i | −0.522732 | + | 0.905399i | ||||
\(5\) | −149102. | + | 86084.1i | −0.381701 | + | 0.220375i | −0.678558 | − | 0.734547i | \(-0.737395\pi\) |
0.296857 | + | 0.954922i | \(0.404062\pi\) | |||||||
\(6\) | 2.25656e6i | 1.34350i | ||||||||
\(7\) | 303703. | + | 5.75680e6i | 0.0526824 | + | 0.998611i | ||||
\(8\) | 1.09092e6 | 0.0650237 | ||||||||
\(9\) | −2.53044e6 | − | 4.38285e6i | −0.0587836 | − | 0.101816i | ||||
\(10\) | 5.45908e7 | + | 3.15180e7i | 0.545908 | + | 0.315180i | ||||
\(11\) | 2.15282e7 | − | 3.72879e7i | 0.100431 | − | 0.173951i | −0.811432 | − | 0.584448i | \(-0.801311\pi\) |
0.911862 | + | 0.410497i | \(0.134645\pi\) | |||||||
\(12\) | 3.65705e8 | − | 2.11140e8i | 0.850513 | − | 0.491044i | ||||
\(13\) | − | 9.75919e8i | − | 1.19637i | −0.801357 | − | 0.598187i | \(-0.795888\pi\) | ||
0.801357 | − | 0.598187i | \(-0.204112\pi\) | |||||||
\(14\) | 1.76976e9 | − | 1.15017e9i | 1.19919 | − | 0.779357i | ||||
\(15\) | 1.06112e9 | 0.414032 | ||||||||
\(16\) | 2.04541e9 | + | 3.54275e9i | 0.476234 | + | 0.824862i | ||||
\(17\) | 4.97420e9 | + | 2.87185e9i | 0.713069 | + | 0.411690i | 0.812196 | − | 0.583384i | \(-0.198272\pi\) |
−0.0991274 | + | 0.995075i | \(0.531605\pi\) | |||||||
\(18\) | −9.26471e8 | + | 1.60470e9i | −0.0840721 | + | 0.145617i | ||||
\(19\) | −7.94173e9 | + | 4.58516e9i | −0.467613 | + | 0.269976i | −0.715240 | − | 0.698879i | \(-0.753683\pi\) |
0.247627 | + | 0.968855i | \(0.420349\pi\) | |||||||
\(20\) | − | 1.17962e10i | − | 0.460789i | ||||||
\(21\) | 1.61193e10 | − | 3.16631e10i | 0.426179 | − | 0.837141i | ||||
\(22\) | −1.57643e10 | −0.287271 | ||||||||
\(23\) | −2.03156e10 | − | 3.51877e10i | −0.259423 | − | 0.449333i | 0.706665 | − | 0.707549i | \(-0.250199\pi\) |
−0.966087 | + | 0.258215i | \(0.916866\pi\) | |||||||
\(24\) | −5.82282e9 | − | 3.36180e9i | −0.0528985 | − | 0.0305409i | ||||
\(25\) | −6.14730e10 | + | 1.06474e11i | −0.402869 | + | 0.697790i | ||||
\(26\) | −3.09443e11 | + | 1.78657e11i | −1.48181 | + | 0.855525i | ||||
\(27\) | 2.96500e11i | 1.04982i | ||||||||
\(28\) | −3.51991e11 | − | 1.79194e11i | −0.931681 | − | 0.474308i | ||||
\(29\) | 6.70144e11 | 1.33963 | 0.669814 | − | 0.742529i | \(-0.266374\pi\) | ||||
0.669814 | + | 0.742529i | \(0.266374\pi\) | |||||||
\(30\) | −1.94254e11 | − | 3.36458e11i | −0.296074 | − | 0.512815i | ||||
\(31\) | 9.28533e11 | + | 5.36089e11i | 1.08869 | + | 0.628555i | 0.933227 | − | 0.359287i | \(-0.116980\pi\) |
0.155461 | + | 0.987842i | \(0.450314\pi\) | |||||||
\(32\) | 7.84634e11 | − | 1.35903e12i | 0.713621 | − | 1.23603i | ||||
\(33\) | −2.29815e11 | + | 1.32684e11i | −0.163406 | + | 0.0943424i | ||||
\(34\) | − | 2.10295e12i | − | 1.17760i | ||||||
\(35\) | −5.40852e11 | − | 8.32206e11i | −0.240178 | − | 0.369561i | ||||
\(36\) | 3.46749e11 | 0.122912 | ||||||||
\(37\) | 2.44056e12 | + | 4.22717e12i | 0.694825 | + | 1.20347i | 0.970240 | + | 0.242147i | \(0.0778516\pi\) |
−0.275414 | + | 0.961326i | \(0.588815\pi\) | |||||||
\(38\) | 2.90771e12 | + | 1.67877e12i | 0.668778 | + | 0.386119i | ||||
\(39\) | −3.00742e12 | + | 5.20901e12i | −0.561924 | + | 0.973281i | ||||
\(40\) | −1.62658e11 | + | 9.39106e10i | −0.0248196 | + | 0.0143296i | ||||
\(41\) | − | 9.25310e12i | − | 1.15882i | −0.815036 | − | 0.579411i | \(-0.803283\pi\) | ||
0.815036 | − | 0.579411i | \(-0.196717\pi\) | |||||||
\(42\) | −1.29906e13 | + | 6.85325e11i | −1.34163 | + | 0.0707786i | ||||
\(43\) | −6.77014e12 | −0.579229 | −0.289614 | − | 0.957143i | \(-0.593527\pi\) | ||||
−0.289614 | + | 0.957143i | \(0.593527\pi\) | |||||||
\(44\) | 1.47502e12 | + | 2.55480e12i | 0.104997 | + | 0.181860i | ||||
\(45\) | 7.54588e11 | + | 4.35661e11i | 0.0448755 | + | 0.0259089i | ||||
\(46\) | −7.43818e12 | + | 1.28833e13i | −0.371026 | + | 0.642635i | ||||
\(47\) | 1.13952e13 | − | 6.57901e12i | 0.478562 | − | 0.276298i | −0.241255 | − | 0.970462i | \(-0.577559\pi\) |
0.719817 | + | 0.694164i | \(0.244226\pi\) | |||||||
\(48\) | − | 2.52128e13i | − | 0.894729i | ||||||
\(49\) | −3.30485e13 | + | 3.49672e12i | −0.994449 | + | 0.105218i | ||||
\(50\) | 4.50143e13 | 1.15237 | ||||||||
\(51\) | −1.77000e13 | − | 3.06573e13i | −0.386733 | − | 0.669842i | ||||
\(52\) | 5.79073e13 | + | 3.34328e13i | 1.08320 | + | 0.625383i | ||||
\(53\) | −5.78861e13 | + | 1.00262e14i | −0.929752 | + | 1.61038i | −0.146017 | + | 0.989282i | \(0.546645\pi\) |
−0.783735 | + | 0.621095i | \(0.786688\pi\) | |||||||
\(54\) | 9.40137e13 | − | 5.42788e13i | 1.30029 | − | 0.750724i | ||||
\(55\) | 7.41295e12i | 0.0885298i | ||||||||
\(56\) | 3.31315e11 | + | 6.28018e12i | 0.00342560 | + | 0.0649334i | ||||
\(57\) | 5.65191e13 | 0.507220 | ||||||||
\(58\) | −1.22680e14 | − | 2.12488e14i | −0.957966 | − | 1.65925i | ||||
\(59\) | 1.76124e14 | + | 1.01685e14i | 1.19951 | + | 0.692535i | 0.960445 | − | 0.278469i | \(-0.0898269\pi\) |
0.239061 | + | 0.971004i | \(0.423160\pi\) | |||||||
\(60\) | −3.63516e13 | + | 6.29628e13i | −0.216428 | + | 0.374864i | ||||
\(61\) | −7.45549e13 | + | 4.30443e13i | −0.388900 | + | 0.224531i | −0.681683 | − | 0.731647i | \(-0.738752\pi\) |
0.292784 | + | 0.956179i | \(0.405418\pi\) | |||||||
\(62\) | − | 3.92557e14i | − | 1.79791i | ||||||
\(63\) | 2.44627e13 | − | 1.58983e13i | 0.0985779 | − | 0.0640658i | ||||
\(64\) | −3.06461e14 | −1.08877 | ||||||||
\(65\) | 8.40111e13 | + | 1.45512e14i | 0.263651 | + | 0.456657i | ||||
\(66\) | 8.41425e13 | + | 4.85797e13i | 0.233703 | + | 0.134928i | ||||
\(67\) | −3.69776e14 | + | 6.40471e14i | −0.910627 | + | 1.57725i | −0.0974454 | + | 0.995241i | \(0.531067\pi\) |
−0.813181 | + | 0.582011i | \(0.802266\pi\) | |||||||
\(68\) | −3.40810e14 | + | 1.96767e14i | −0.745488 | + | 0.430408i | ||||
\(69\) | 2.50421e14i | 0.487392i | ||||||||
\(70\) | −1.64863e14 | + | 3.23840e14i | −0.285983 | + | 0.561755i | ||||
\(71\) | 6.18883e14 | 0.958389 | 0.479194 | − | 0.877709i | \(-0.340929\pi\) | ||||
0.479194 | + | 0.877709i | \(0.340929\pi\) | |||||||
\(72\) | −2.76050e12 | − | 4.78132e12i | −0.00382232 | − | 0.00662046i | ||||
\(73\) | −1.06453e15 | − | 6.14609e14i | −1.32001 | − | 0.762107i | −0.336279 | − | 0.941763i | \(-0.609168\pi\) |
−0.983730 | + | 0.179655i | \(0.942502\pi\) | |||||||
\(74\) | 8.93563e14 | − | 1.54770e15i | 0.993737 | − | 1.72120i | ||||
\(75\) | 6.56230e14 | − | 3.78874e14i | 0.655489 | − | 0.378447i | ||||
\(76\) | − | 6.28310e14i | − | 0.564501i | ||||||
\(77\) | 2.21197e14 | + | 1.12609e14i | 0.179000 | + | 0.0911270i | ||||
\(78\) | 2.20222e15 | 1.60732 | ||||||||
\(79\) | 6.89263e14 | + | 1.19384e15i | 0.454327 | + | 0.786917i | 0.998649 | − | 0.0519590i | \(-0.0165465\pi\) |
−0.544322 | + | 0.838876i | \(0.683213\pi\) | |||||||
\(80\) | −6.09950e14 | − | 3.52155e14i | −0.363558 | − | 0.209901i | ||||
\(81\) | 8.04777e14 | − | 1.39391e15i | 0.434305 | − | 0.752239i | ||||
\(82\) | −2.93396e15 | + | 1.69392e15i | −1.43530 | + | 0.828672i | ||||
\(83\) | 1.94472e13i | 0.00863441i | 0.999991 | + | 0.00431720i | \(0.00137421\pi\) | ||||
−0.999991 | + | 0.00431720i | \(0.998626\pi\) | |||||||
\(84\) | 1.32655e15 | + | 2.04116e15i | 0.535169 | + | 0.823462i | ||||
\(85\) | −9.88884e14 | −0.362906 | ||||||||
\(86\) | 1.23938e15 | + | 2.14667e15i | 0.414206 | + | 0.717425i | ||||
\(87\) | −3.57692e15 | − | 2.06514e15i | −1.08982 | − | 0.629209i | ||||
\(88\) | 2.34855e13 | − | 4.06780e13i | 0.00653037 | − | 0.0113109i | ||||
\(89\) | −4.18619e15 | + | 2.41690e15i | −1.06341 | + | 0.613958i | −0.926372 | − | 0.376609i | \(-0.877090\pi\) |
−0.137034 | + | 0.990566i | \(0.543757\pi\) | |||||||
\(90\) | − | 3.19018e14i | − | 0.0741097i | ||||||
\(91\) | 5.61816e15 | − | 2.96390e14i | 1.19471 | − | 0.0630278i | ||||
\(92\) | 2.78388e15 | 0.542435 | ||||||||
\(93\) | −3.30406e15 | − | 5.72279e15i | −0.590451 | − | 1.02269i | ||||
\(94\) | −4.17212e15 | − | 2.40878e15i | −0.684438 | − | 0.395161i | ||||
\(95\) | 7.89419e14 | − | 1.36731e15i | 0.118992 | − | 0.206101i | ||||
\(96\) | −8.37604e15 | + | 4.83591e15i | −1.16110 | + | 0.670360i | ||||
\(97\) | − | 6.78438e15i | − | 0.865638i | −0.901481 | − | 0.432819i | \(-0.857519\pi\) | ||
0.901481 | − | 0.432819i | \(-0.142481\pi\) | |||||||
\(98\) | 7.15876e15 | + | 9.83882e15i | 0.841452 | + | 1.15647i | ||||
\(99\) | −2.17903e14 | −0.0236147 | ||||||||
\(100\) | −4.21186e15 | − | 7.29515e15i | −0.421186 | − | 0.729515i | ||||
\(101\) | 7.18599e15 | + | 4.14883e15i | 0.663614 | + | 0.383138i | 0.793653 | − | 0.608371i | \(-0.208177\pi\) |
−0.130038 | + | 0.991509i | \(0.541510\pi\) | |||||||
\(102\) | −6.48051e15 | + | 1.12246e16i | −0.553105 | + | 0.958006i | ||||
\(103\) | 8.00090e15 | − | 4.61932e15i | 0.631598 | − | 0.364653i | −0.149773 | − | 0.988720i | \(-0.547854\pi\) |
0.781371 | + | 0.624067i | \(0.214521\pi\) | |||||||
\(104\) | − | 1.06465e15i | − | 0.0777926i | ||||||
\(105\) | 3.22265e14 | + | 6.10864e15i | 0.0218122 | + | 0.413457i | ||||
\(106\) | 4.23877e16 | 2.65946 | ||||||||
\(107\) | 9.78136e14 | + | 1.69418e15i | 0.0569284 | + | 0.0986029i | 0.893085 | − | 0.449888i | \(-0.148536\pi\) |
−0.836157 | + | 0.548491i | \(0.815203\pi\) | |||||||
\(108\) | −1.75932e16 | − | 1.01574e16i | −0.950505 | − | 0.548774i | ||||
\(109\) | −4.83379e14 | + | 8.37236e14i | −0.0242591 | + | 0.0420181i | −0.877900 | − | 0.478844i | \(-0.841056\pi\) |
0.853641 | + | 0.520862i | \(0.174389\pi\) | |||||||
\(110\) | 2.35049e15 | − | 1.35705e15i | 0.109652 | − | 0.0633075i | ||||
\(111\) | − | 3.00836e16i | − | 1.30541i | ||||||
\(112\) | −1.97737e16 | + | 1.28510e16i | −0.798627 | + | 0.519028i | ||||
\(113\) | 6.68974e15 | 0.251641 | 0.125821 | − | 0.992053i | \(-0.459844\pi\) | ||||
0.125821 | + | 0.992053i | \(0.459844\pi\) | |||||||
\(114\) | −1.03467e16 | − | 1.79210e16i | −0.362712 | − | 0.628236i | ||||
\(115\) | 6.05821e15 | + | 3.49771e15i | 0.198044 | + | 0.114341i | ||||
\(116\) | −2.29576e16 | + | 3.97638e16i | −0.700267 | + | 1.21290i | ||||
\(117\) | −4.27731e15 | + | 2.46950e15i | −0.121810 | + | 0.0703271i | ||||
\(118\) | − | 7.44602e16i | − | 1.98092i | ||||||
\(119\) | −1.50220e16 | + | 2.95076e16i | −0.373553 | + | 0.733767i | ||||
\(120\) | 1.15759e15 | 0.0269219 | ||||||||
\(121\) | 2.20479e16 | + | 3.81881e16i | 0.479827 | + | 0.831085i | ||||
\(122\) | 2.72968e16 | + | 1.57598e16i | 0.556203 | + | 0.321124i | ||||
\(123\) | −2.85147e16 | + | 4.93888e16i | −0.544286 | + | 0.942731i | ||||
\(124\) | −6.36190e16 | + | 3.67304e16i | −1.13819 | + | 0.657132i | ||||
\(125\) | − | 4.74382e16i | − | 0.795881i | ||||||
\(126\) | −9.51928e15 | − | 4.84615e15i | −0.149844 | − | 0.0762839i | ||||
\(127\) | −3.14501e16 | −0.464721 | −0.232361 | − | 0.972630i | \(-0.574645\pi\) | ||||
−0.232361 | + | 0.972630i | \(0.574645\pi\) | |||||||
\(128\) | 4.68061e15 | + | 8.10705e15i | 0.0649565 | + | 0.112508i | ||||
\(129\) | 3.61359e16 | + | 2.08631e16i | 0.471218 | + | 0.272058i | ||||
\(130\) | 3.07590e16 | − | 5.32762e16i | 0.377073 | − | 0.653110i | ||||
\(131\) | −3.80903e16 | + | 2.19915e16i | −0.439182 | + | 0.253562i | −0.703251 | − | 0.710942i | \(-0.748269\pi\) |
0.264069 | + | 0.964504i | \(0.414935\pi\) | |||||||
\(132\) | − | 1.81818e16i | − | 0.197263i | ||||||
\(133\) | −2.88078e16 | − | 4.43264e16i | −0.294236 | − | 0.452740i | ||||
\(134\) | 2.70773e17 | 2.60475 | ||||||||
\(135\) | −2.55239e16 | − | 4.42088e16i | −0.231354 | − | 0.400717i | ||||
\(136\) | 5.42643e15 | + | 3.13295e15i | 0.0463664 | + | 0.0267696i | ||||
\(137\) | 3.94862e16 | − | 6.83920e16i | 0.318185 | − | 0.551113i | −0.661924 | − | 0.749571i | \(-0.730260\pi\) |
0.980109 | + | 0.198458i | \(0.0635932\pi\) | |||||||
\(138\) | 7.94032e16 | − | 4.58435e16i | 0.603678 | − | 0.348534i | ||||
\(139\) | 2.85397e16i | 0.204801i | 0.994743 | + | 0.102400i | \(0.0326523\pi\) | ||||
−0.994743 | + | 0.102400i | \(0.967348\pi\) | |||||||
\(140\) | 6.79084e16 | − | 3.58255e15i | 0.460150 | − | 0.0242755i | ||||
\(141\) | −8.10964e16 | −0.519097 | ||||||||
\(142\) | −1.13296e17 | − | 1.96234e17i | −0.685342 | − | 1.18705i | ||||
\(143\) | −3.63900e16 | − | 2.10098e16i | −0.208110 | − | 0.120153i | ||||
\(144\) | 1.03516e16 | − | 1.79294e16i | 0.0559895 | − | 0.0969766i | ||||
\(145\) | −9.99198e16 | + | 5.76887e16i | −0.511338 | + | 0.295221i | ||||
\(146\) | 4.50054e17i | 2.17993i | ||||||||
\(147\) | 1.87173e17 | + | 8.31793e16i | 0.858430 | + | 0.381484i | ||||
\(148\) | −3.34433e17 | −1.45283 | ||||||||
\(149\) | 2.37381e17 | + | 4.11155e17i | 0.977136 | + | 1.69245i | 0.672697 | + | 0.739918i | \(0.265136\pi\) |
0.304439 | + | 0.952532i | \(0.401531\pi\) | |||||||
\(150\) | −2.40266e17 | − | 1.38717e17i | −0.937479 | − | 0.541254i | ||||
\(151\) | −5.19660e16 | + | 9.00077e16i | −0.192266 | + | 0.333015i | −0.946001 | − | 0.324164i | \(-0.894917\pi\) |
0.753735 | + | 0.657179i | \(0.228250\pi\) | |||||||
\(152\) | −8.66376e15 | + | 5.00203e15i | −0.0304059 | + | 0.0175549i | ||||
\(153\) | − | 2.90682e16i | − | 0.0968025i | ||||||
\(154\) | −4.78766e15 | − | 9.07517e16i | −0.0151341 | − | 0.286872i | ||||
\(155\) | −1.84595e17 | −0.554072 | ||||||||
\(156\) | −2.06055e17 | − | 3.56898e17i | −0.587472 | − | 1.01753i | ||||
\(157\) | −4.63040e17 | − | 2.67336e17i | −1.25436 | − | 0.724203i | −0.282385 | − | 0.959301i | \(-0.591126\pi\) |
−0.971972 | + | 0.235098i | \(0.924459\pi\) | |||||||
\(158\) | 2.52360e17 | − | 4.37101e17i | 0.649777 | − | 1.12545i | ||||
\(159\) | 6.17939e17 | − | 3.56767e17i | 1.51275 | − | 0.873389i | ||||
\(160\) | 2.70178e17i | 0.629058i | ||||||||
\(161\) | 1.96399e17 | − | 1.27640e17i | 0.435042 | − | 0.282734i | ||||
\(162\) | −5.89307e17 | −1.24229 | ||||||||
\(163\) | 3.62115e17 | + | 6.27201e17i | 0.726683 | + | 1.25865i | 0.958277 | + | 0.285840i | \(0.0922726\pi\) |
−0.231594 | + | 0.972813i | \(0.574394\pi\) | |||||||
\(164\) | 5.49044e17 | + | 3.16991e17i | 1.04920 | + | 0.605753i | ||||
\(165\) | 2.28440e16 | − | 3.95669e16i | 0.0415815 | − | 0.0720213i | ||||
\(166\) | 6.16629e15 | − | 3.56011e15i | 0.0106945 | − | 0.00617445i | ||||
\(167\) | 3.83013e16i | 0.0633113i | 0.999499 | + | 0.0316556i | \(0.0100780\pi\) | ||||
−0.999499 | + | 0.0316556i | \(0.989922\pi\) | |||||||
\(168\) | 1.75848e16 | − | 3.45417e16i | 0.0277117 | − | 0.0544340i | ||||
\(169\) | −2.87001e17 | −0.431310 | ||||||||
\(170\) | 1.81030e17 | + | 3.13554e17i | 0.259514 | + | 0.449491i | ||||
\(171\) | 4.01921e16 | + | 2.32049e16i | 0.0549759 | + | 0.0317403i | ||||
\(172\) | 2.31930e17 | − | 4.01715e17i | 0.302782 | − | 0.524433i | ||||
\(173\) | 3.84549e17 | − | 2.22020e17i | 0.479273 | − | 0.276709i | −0.240840 | − | 0.970565i | \(-0.577423\pi\) |
0.720114 | + | 0.693856i | \(0.244090\pi\) | |||||||
\(174\) | 1.51222e18i | 1.79979i | ||||||||
\(175\) | −6.31621e17 | − | 3.21551e17i | −0.718045 | − | 0.365549i | ||||
\(176\) | 1.76136e17 | 0.191314 | ||||||||
\(177\) | −6.26713e17 | − | 1.08550e18i | −0.650553 | − | 1.12679i | ||||
\(178\) | 1.53269e18 | + | 8.84901e17i | 1.52088 | + | 0.878081i | ||||
\(179\) | 3.53523e17 | − | 6.12320e17i | 0.335423 | − | 0.580971i | −0.648143 | − | 0.761519i | \(-0.724454\pi\) |
0.983566 | + | 0.180548i | \(0.0577873\pi\) | |||||||
\(180\) | −5.17010e16 | + | 2.98496e16i | −0.0469158 | + | 0.0270868i | ||||
\(181\) | − | 1.01550e18i | − | 0.881562i | −0.897615 | − | 0.440781i | \(-0.854702\pi\) | ||
0.897615 | − | 0.440781i | \(-0.145298\pi\) | |||||||
\(182\) | −1.12247e18 | − | 1.72714e18i | −0.932403 | − | 1.43468i | ||||
\(183\) | 5.30587e17 | 0.421840 | ||||||||
\(184\) | −2.21627e16 | − | 3.83869e16i | −0.0168686 | − | 0.0292173i | ||||
\(185\) | −7.27785e17 | − | 4.20187e17i | −0.530431 | − | 0.306245i | ||||
\(186\) | −1.20972e18 | + | 2.09529e18i | −0.844461 | + | 1.46265i | ||||
\(187\) | 2.14171e17 | − | 1.23652e17i | 0.143228 | − | 0.0826927i | ||||
\(188\) | 9.01529e17i | 0.577720i | ||||||||
\(189\) | −1.70689e18 | + | 9.00480e16i | −1.04836 | + | 0.0553070i | ||||
\(190\) | −5.78061e17 | −0.340365 | ||||||||
\(191\) | 5.01455e17 | + | 8.68546e17i | 0.283117 | + | 0.490372i | 0.972151 | − | 0.234357i | \(-0.0752983\pi\) |
−0.689034 | + | 0.724729i | \(0.741965\pi\) | |||||||
\(192\) | 1.63575e18 | + | 9.44401e17i | 0.885742 | + | 0.511383i | ||||
\(193\) | −6.15496e17 | + | 1.06607e18i | −0.319718 | + | 0.553768i | −0.980429 | − | 0.196873i | \(-0.936921\pi\) |
0.660711 | + | 0.750640i | \(0.270255\pi\) | |||||||
\(194\) | −2.15118e18 | + | 1.24198e18i | −1.07217 | + | 0.619016i | ||||
\(195\) | − | 1.03557e18i | − | 0.495337i | ||||||
\(196\) | 9.24685e17 | − | 2.08076e18i | 0.424566 | − | 0.955374i | ||||
\(197\) | −3.52539e18 | −1.55409 | −0.777047 | − | 0.629443i | \(-0.783283\pi\) | ||||
−0.777047 | + | 0.629443i | \(0.783283\pi\) | |||||||
\(198\) | 3.98905e16 | + | 6.90924e16i | 0.0168868 | + | 0.0292489i | ||||
\(199\) | 3.22861e18 | + | 1.86404e18i | 1.31278 | + | 0.757931i | 0.982555 | − | 0.185973i | \(-0.0595437\pi\) |
0.330220 | + | 0.943904i | \(0.392877\pi\) | |||||||
\(200\) | −6.70619e16 | + | 1.16155e17i | −0.0261961 | + | 0.0453729i | ||||
\(201\) | 3.94739e18 | − | 2.27903e18i | 1.48164 | − | 0.855423i | ||||
\(202\) | − | 3.03803e18i | − | 1.09593i | ||||||
\(203\) | 2.03525e17 | + | 3.85788e18i | 0.0705747 | + | 1.33777i | ||||
\(204\) | 2.42545e18 | 0.808632 | ||||||||
\(205\) | 7.96545e17 | + | 1.37966e18i | 0.255376 | + | 0.442324i | ||||
\(206\) | −2.92937e18 | − | 1.69127e18i | −0.903310 | − | 0.521526i | ||||
\(207\) | −1.02815e17 | + | 1.78081e17i | −0.0304996 | + | 0.0528268i | ||||
\(208\) | 3.45744e18 | − | 1.99615e18i | 0.986843 | − | 0.569754i | ||||
\(209\) | 3.94841e17i | 0.108456i | ||||||||
\(210\) | 1.87792e18 | − | 1.22046e18i | 0.496505 | − | 0.322679i | ||||
\(211\) | 2.68626e18 | 0.683736 | 0.341868 | − | 0.939748i | \(-0.388940\pi\) | ||||
0.341868 | + | 0.939748i | \(0.388940\pi\) | |||||||
\(212\) | −3.96610e18 | − | 6.86948e18i | −0.972023 | − | 1.68359i | ||||
\(213\) | −3.30331e18 | − | 1.90717e18i | −0.779674 | − | 0.450145i | ||||
\(214\) | 3.58126e17 | − | 6.20292e17i | 0.0814189 | − | 0.141022i | ||||
\(215\) | 1.00944e18 | − | 5.82802e17i | 0.221092 | − | 0.127648i | ||||
\(216\) | 3.23457e17i | 0.0682631i | ||||||||
\(217\) | −2.80415e18 | + | 5.50818e18i | −0.570327 | + | 1.12029i | ||||
\(218\) | 3.53959e17 | 0.0693907 | ||||||||
\(219\) | 3.78800e18 | + | 6.56101e18i | 0.715907 | + | 1.23999i | ||||
\(220\) | −4.39856e17 | − | 2.53951e17i | −0.0801548 | − | 0.0462774i | ||||
\(221\) | 2.80270e18 | − | 4.85441e18i | 0.492536 | − | 0.853097i | ||||
\(222\) | −9.53887e18 | + | 5.50727e18i | −1.61686 | + | 0.933496i | ||||
\(223\) | 6.51769e18i | 1.06575i | 0.846194 | + | 0.532875i | \(0.178888\pi\) | ||||
−0.846194 | + | 0.532875i | \(0.821112\pi\) | |||||||
\(224\) | 8.06193e18 | + | 4.10424e18i | 1.27191 | + | 0.647513i | ||||
\(225\) | 6.22215e17 | 0.0947284 | ||||||||
\(226\) | −1.22466e18 | − | 2.12117e18i | −0.179948 | − | 0.311680i | ||||
\(227\) | −1.00198e19 | − | 5.78494e18i | −1.42119 | − | 0.820525i | −0.424790 | − | 0.905292i | \(-0.639652\pi\) |
−0.996401 | + | 0.0847665i | \(0.972986\pi\) | |||||||
\(228\) | −1.93622e18 | + | 3.35363e18i | −0.265140 | + | 0.459237i | ||||
\(229\) | −4.79294e18 | + | 2.76720e18i | −0.633750 | + | 0.365896i | −0.782203 | − | 0.623024i | \(-0.785904\pi\) |
0.148453 | + | 0.988919i | \(0.452571\pi\) | |||||||
\(230\) | − | 2.56124e18i | − | 0.327060i | ||||||
\(231\) | −8.33631e17 | − | 1.28270e18i | −0.102820 | − | 0.158209i | ||||
\(232\) | 7.31071e17 | 0.0871075 | ||||||||
\(233\) | −3.15840e18 | − | 5.47050e18i | −0.363596 | − | 0.629767i | 0.624954 | − | 0.780662i | \(-0.285118\pi\) |
−0.988550 | + | 0.150895i | \(0.951785\pi\) | |||||||
\(234\) | 1.56605e18 | + | 9.04161e17i | 0.174213 | + | 0.100582i | ||||
\(235\) | −1.13270e18 | + | 1.96189e18i | −0.121779 | + | 0.210927i | ||||
\(236\) | −1.20672e19 | + | 6.96703e18i | −1.25404 | + | 0.724021i | ||||
\(237\) | − | 8.49622e18i | − | 0.853570i | ||||||
\(238\) | 1.21062e19 | − | 6.38672e17i | 1.17596 | − | 0.0620386i | ||||
\(239\) | 7.72016e18 | 0.725176 | 0.362588 | − | 0.931950i | \(-0.381893\pi\) | ||||
0.362588 | + | 0.931950i | \(0.381893\pi\) | |||||||
\(240\) | 2.17042e18 | + | 3.75928e18i | 0.197176 | + | 0.341519i | ||||
\(241\) | −5.81471e18 | − | 3.35713e18i | −0.510966 | − | 0.295006i | 0.222265 | − | 0.974986i | \(-0.428655\pi\) |
−0.733231 | + | 0.679980i | \(0.761988\pi\) | |||||||
\(242\) | 8.07242e18 | − | 1.39818e19i | 0.686248 | − | 1.18862i | ||||
\(243\) | 2.46232e18 | − | 1.42162e18i | 0.202532 | − | 0.116932i | ||||
\(244\) | − | 5.89841e18i | − | 0.469479i | ||||||
\(245\) | 4.62658e18 | − | 3.36632e18i | 0.356395 | − | 0.259314i | ||||
\(246\) | 2.08802e19 | 1.55687 | ||||||||
\(247\) | 4.47474e18 | + | 7.75048e18i | 0.322992 | + | 0.559439i | ||||
\(248\) | 1.01295e18 | + | 5.84828e17i | 0.0707905 | + | 0.0408709i | ||||
\(249\) | 5.99292e16 | − | 1.03800e17i | 0.00405549 | − | 0.00702432i | ||||
\(250\) | −1.50416e19 | + | 8.68429e18i | −0.985768 | + | 0.569133i | ||||
\(251\) | − | 1.28466e18i | − | 0.0815451i | −0.999168 | − | 0.0407726i | \(-0.987018\pi\) | ||
0.999168 | − | 0.0407726i | \(-0.0129819\pi\) | |||||||
\(252\) | 1.05309e17 | + | 1.99616e18i | 0.00647531 | + | 0.122742i | ||||
\(253\) | −1.74944e18 | −0.104216 | ||||||||
\(254\) | 5.75743e18 | + | 9.97216e18i | 0.332322 | + | 0.575598i | ||||
\(255\) | 5.27821e18 | + | 3.04738e18i | 0.295233 | + | 0.170453i | ||||
\(256\) | −8.32840e18 | + | 1.44252e19i | −0.451484 | + | 0.781993i | ||||
\(257\) | 6.23849e18 | − | 3.60180e18i | 0.327804 | − | 0.189258i | −0.327062 | − | 0.945003i | \(-0.606058\pi\) |
0.654866 | + | 0.755745i | \(0.272725\pi\) | |||||||
\(258\) | − | 1.52772e19i | − | 0.778192i | ||||||
\(259\) | −2.35938e19 | + | 1.53336e19i | −1.16520 | + | 0.757262i | ||||
\(260\) | −1.15121e19 | −0.551276 | ||||||||
\(261\) | −1.69576e18 | − | 2.93714e18i | −0.0787481 | − | 0.136396i | ||||
\(262\) | 1.39460e19 | + | 8.05175e18i | 0.628117 | + | 0.362644i | ||||
\(263\) | 3.13166e18 | − | 5.42419e18i | 0.136813 | − | 0.236968i | −0.789475 | − | 0.613782i | \(-0.789647\pi\) |
0.926289 | + | 0.376815i | \(0.122981\pi\) | |||||||
\(264\) | −2.50709e17 | + | 1.44747e17i | −0.0106253 | + | 0.00613449i | ||||
\(265\) | − | 1.99323e19i | − | 0.819578i | ||||||
\(266\) | −8.78124e18 | + | 1.72489e19i | −0.350350 | + | 0.688191i | ||||
\(267\) | 2.97920e19 | 1.15348 | ||||||||
\(268\) | −2.53354e19 | − | 4.38822e19i | −0.952028 | − | 1.64896i | ||||
\(269\) | −1.09741e19 | − | 6.33588e18i | −0.400266 | − | 0.231094i | 0.286333 | − | 0.958130i | \(-0.407564\pi\) |
−0.686599 | + | 0.727036i | \(0.740897\pi\) | |||||||
\(270\) | −9.34509e18 | + | 1.61862e19i | −0.330882 | + | 0.573105i | ||||
\(271\) | 4.10827e19 | − | 2.37191e19i | 1.41223 | − | 0.815350i | 0.416629 | − | 0.909077i | \(-0.363211\pi\) |
0.995598 | + | 0.0937269i | \(0.0298780\pi\) | |||||||
\(272\) | 2.34965e19i | 0.784244i | ||||||||
\(273\) | −3.09006e19 | − | 1.57311e19i | −1.00153 | − | 0.509869i | ||||
\(274\) | −2.89142e19 | −0.910136 | ||||||||
\(275\) | 2.64681e18 | + | 4.58440e18i | 0.0809209 | + | 0.140159i | ||||
\(276\) | −1.48591e19 | − | 8.57889e18i | −0.441285 | − | 0.254776i | ||||
\(277\) | −1.67888e19 | + | 2.90791e19i | −0.484376 | + | 0.838963i | −0.999839 | − | 0.0179485i | \(-0.994287\pi\) |
0.515463 | + | 0.856912i | \(0.327620\pi\) | |||||||
\(278\) | 9.04934e18 | − | 5.22464e18i | 0.253664 | − | 0.146453i | ||||
\(279\) | − | 5.42616e18i | − | 0.147795i | ||||||
\(280\) | −5.90024e17 | − | 9.07868e17i | −0.0156173 | − | 0.0240302i | ||||
\(281\) | −2.67935e19 | −0.689255 | −0.344627 | − | 0.938740i | \(-0.611995\pi\) | ||||
−0.344627 | + | 0.938740i | \(0.611995\pi\) | |||||||
\(282\) | 1.48459e19 | + | 2.57139e19i | 0.371206 | + | 0.642947i | ||||
\(283\) | 5.45677e19 | + | 3.15047e19i | 1.32631 | + | 0.765743i | 0.984726 | − | 0.174109i | \(-0.0557047\pi\) |
0.341580 | + | 0.939853i | \(0.389038\pi\) | |||||||
\(284\) | −2.12016e19 | + | 3.67222e19i | −0.500981 | + | 0.867724i | ||||
\(285\) | −8.42712e18 | + | 4.86540e18i | −0.193607 | + | 0.111779i | ||||
\(286\) | 1.53846e19i | 0.343684i | ||||||||
\(287\) | 5.32682e19 | − | 2.81020e18i | 1.15721 | − | 0.0610495i | ||||
\(288\) | −7.94188e18 | −0.167797 | ||||||||
\(289\) | −7.83552e18 | − | 1.35715e19i | −0.161022 | − | 0.278898i | ||||
\(290\) | 3.65837e19 | + | 2.11216e19i | 0.731314 | + | 0.422224i | ||||
\(291\) | −2.09070e19 | + | 3.62119e19i | −0.406581 | + | 0.704219i | ||||
\(292\) | 7.29372e19 | − | 4.21103e19i | 1.38002 | − | 0.796756i | ||||
\(293\) | − | 4.43533e19i | − | 0.816555i | −0.912858 | − | 0.408277i | \(-0.866130\pi\) | ||
0.912858 | − | 0.408277i | \(-0.133870\pi\) | |||||||
\(294\) | −7.89055e18 | − | 7.45758e19i | −0.141361 | − | 1.33604i | ||||
\(295\) | −3.50140e19 | −0.610471 | ||||||||
\(296\) | 2.66245e18 | + | 4.61149e18i | 0.0451801 | + | 0.0782542i | ||||
\(297\) | 1.10559e19 | + | 6.38311e18i | 0.182617 | + | 0.105434i | ||||
\(298\) | 8.69123e19 | − | 1.50537e20i | 1.39750 | − | 2.42054i | ||||
\(299\) | −3.43404e19 | + | 1.98264e19i | −0.537570 | + | 0.310366i | ||||
\(300\) | 5.19176e19i | 0.791306i | ||||||||
\(301\) | −2.05612e18 | − | 3.89743e19i | −0.0305152 | − | 0.578424i | ||||
\(302\) | 3.80527e19 | 0.549958 | ||||||||
\(303\) | −2.55704e19 | − | 4.42892e19i | −0.359912 | − | 0.623385i | ||||
\(304\) | −3.24882e19 | − | 1.87571e19i | −0.445386 | − | 0.257144i | ||||
\(305\) | 7.41086e18 | − | 1.28360e19i | 0.0989624 | − | 0.171408i | ||||
\(306\) | −9.21690e18 | + | 5.32138e18i | −0.119898 | + | 0.0692234i | ||||
\(307\) | 1.16989e20i | 1.48265i | 0.671144 | + | 0.741327i | \(0.265803\pi\) | ||||
−0.671144 | + | 0.741327i | \(0.734197\pi\) | |||||||
\(308\) | −1.42595e19 | + | 9.26728e18i | −0.176076 | + | 0.114432i | ||||
\(309\) | −5.69402e19 | −0.685095 | ||||||||
\(310\) | 3.37929e19 | + | 5.85310e19i | 0.396216 | + | 0.686266i | ||||
\(311\) | 3.71699e19 | + | 2.14600e19i | 0.424725 | + | 0.245215i | 0.697097 | − | 0.716977i | \(-0.254475\pi\) |
−0.272372 | + | 0.962192i | \(0.587808\pi\) | |||||||
\(312\) | −3.28085e18 | + | 5.68259e18i | −0.0365384 | + | 0.0632863i | ||||
\(313\) | −7.14696e19 | + | 4.12630e19i | −0.775830 | + | 0.447926i | −0.834950 | − | 0.550325i | \(-0.814504\pi\) |
0.0591202 | + | 0.998251i | \(0.481170\pi\) | |||||||
\(314\) | 1.95760e20i | 2.07151i | ||||||||
\(315\) | −2.27884e18 | + | 4.47632e18i | −0.0235088 | + | 0.0461782i | ||||
\(316\) | −9.44505e19 | −0.949965 | ||||||||
\(317\) | 2.36350e19 | + | 4.09371e19i | 0.231783 | + | 0.401461i | 0.958333 | − | 0.285653i | \(-0.0922106\pi\) |
−0.726550 | + | 0.687114i | \(0.758877\pi\) | |||||||
\(318\) | −2.26246e20 | − | 1.30623e20i | −2.16354 | − | 1.24912i | ||||
\(319\) | 1.44270e19 | − | 2.49883e19i | 0.134540 | − | 0.233029i | ||||
\(320\) | 4.56940e19 | − | 2.63814e19i | 0.415585 | − | 0.239938i | ||||
\(321\) | − | 1.20570e19i | − | 0.106955i | ||||||
\(322\) | −7.64255e19 | − | 3.89074e19i | −0.661289 | − | 0.336655i | ||||
\(323\) | −5.26716e19 | −0.444587 | ||||||||
\(324\) | 5.51397e19 | + | 9.55048e19i | 0.454051 | + | 0.786439i | ||||
\(325\) | 1.03910e20 | + | 5.99926e19i | 0.834818 | + | 0.481982i | ||||
\(326\) | 1.32581e20 | − | 2.29637e20i | 1.03930 | − | 1.80012i | ||||
\(327\) | 5.16011e18 | − | 2.97919e18i | 0.0394709 | − | 0.0227885i | ||||
\(328\) | − | 1.00944e19i | − | 0.0753508i | ||||||
\(329\) | 4.13348e19 | + | 6.36016e19i | 0.301126 | + | 0.463341i | ||||
\(330\) | −1.67278e19 | −0.118940 | ||||||||
\(331\) | −1.10405e18 | − | 1.91228e18i | −0.00766243 | − | 0.0132717i | 0.862169 | − | 0.506621i | \(-0.169106\pi\) |
−0.869831 | + | 0.493349i | \(0.835772\pi\) | |||||||
\(332\) | −1.15392e18 | − | 6.66218e17i | −0.00781758 | − | 0.00451348i | ||||
\(333\) | 1.23514e19 | − | 2.13932e19i | 0.0816886 | − | 0.141489i | ||||
\(334\) | 1.21445e19 | − | 7.01163e18i | 0.0784166 | − | 0.0452738i | ||||
\(335\) | − | 1.27327e20i | − | 0.802719i | ||||||
\(336\) | 1.45145e20 | − | 7.65722e18i | 0.893486 | − | 0.0471364i | ||||
\(337\) | 4.48963e18 | 0.0269881 | 0.0134940 | − | 0.999909i | \(-0.495705\pi\) | ||||
0.0134940 | + | 0.999909i | \(0.495705\pi\) | |||||||
\(338\) | 5.25399e19 | + | 9.10017e19i | 0.308429 | + | 0.534215i | ||||
\(339\) | −3.57068e19 | − | 2.06153e19i | −0.204717 | − | 0.118193i | ||||
\(340\) | 3.38770e19 | − | 5.86767e19i | 0.189703 | − | 0.328575i | ||||
\(341\) | 3.99793e19 | − | 2.30820e19i | 0.218675 | − | 0.126252i | ||||
\(342\) | − | 1.69921e19i | − | 0.0907899i | ||||||
\(343\) | −3.01668e19 | − | 1.89191e20i | −0.157462 | − | 0.987525i | ||||
\(344\) | −7.38566e18 | −0.0376636 | ||||||||
\(345\) | −2.15573e19 | − | 3.73384e19i | −0.107409 | − | 0.186038i | ||||
\(346\) | −1.40795e20 | − | 8.12882e19i | −0.685456 | − | 0.395748i | ||||
\(347\) | −1.52261e20 | + | 2.63725e20i | −0.724360 | + | 1.25463i | 0.234877 | + | 0.972025i | \(0.424531\pi\) |
−0.959237 | + | 0.282603i | \(0.908802\pi\) | |||||||
\(348\) | 2.45075e20 | − | 1.41494e20i | 1.13937 | − | 0.657816i | ||||
\(349\) | 1.66082e20i | 0.754604i | 0.926090 | + | 0.377302i | \(0.123148\pi\) | ||||
−0.926090 | + | 0.377302i | \(0.876852\pi\) | |||||||
\(350\) | 1.36710e19 | + | 2.59138e20i | 0.0607094 | + | 1.15077i | ||||
\(351\) | 2.89360e20 | 1.25598 | ||||||||
\(352\) | −3.37835e19 | − | 5.85148e19i | −0.143339 | − | 0.248270i | ||||
\(353\) | 3.53893e20 | + | 2.04320e20i | 1.46782 | + | 0.847448i | 0.999351 | − | 0.0360296i | \(-0.0114711\pi\) |
0.468473 | + | 0.883478i | \(0.344804\pi\) | |||||||
\(354\) | −2.29459e20 | + | 3.97435e20i | −0.930420 | + | 1.61153i | ||||
\(355\) | −9.22767e19 | + | 5.32760e19i | −0.365818 | + | 0.211205i | ||||
\(356\) | − | 3.31191e20i | − | 1.28374i | ||||||
\(357\) | 1.71112e20 | − | 1.11206e20i | 0.648538 | − | 0.421485i | ||||
\(358\) | −2.58871e20 | −0.959444 | ||||||||
\(359\) | −2.28764e20 | − | 3.96231e20i | −0.829148 | − | 1.43613i | −0.898708 | − | 0.438548i | \(-0.855493\pi\) |
0.0695599 | − | 0.997578i | \(-0.477841\pi\) | |||||||
\(360\) | 8.23192e17 | + | 4.75270e17i | 0.00291797 | + | 0.00168469i | ||||
\(361\) | −1.02173e20 | + | 1.76969e20i | −0.354226 | + | 0.613537i | ||||
\(362\) | −3.21994e20 | + | 1.85903e20i | −1.09189 | + | 0.630404i | ||||
\(363\) | − | 2.71775e20i | − | 0.901479i | ||||||
\(364\) | −1.74879e20 | + | 3.43514e20i | −0.567449 | + | 1.11464i | ||||
\(365\) | 2.11632e20 | 0.671799 | ||||||||
\(366\) | −9.71321e19 | − | 1.68238e20i | −0.301657 | − | 0.522486i | ||||
\(367\) | 1.34859e19 | + | 7.78606e18i | 0.0409779 | + | 0.0236586i | 0.520349 | − | 0.853954i | \(-0.325802\pi\) |
−0.479371 | + | 0.877612i | \(0.659135\pi\) | |||||||
\(368\) | 8.31076e19 | − | 1.43947e20i | 0.247092 | − | 0.427976i | ||||
\(369\) | −4.05550e19 | + | 2.34144e19i | −0.117987 | + | 0.0681196i | ||||
\(370\) | 3.07687e20i | 0.875981i | ||||||||
\(371\) | −5.94766e20 | − | 3.02788e20i | −1.65712 | − | 0.843622i | ||||
\(372\) | 4.52759e20 | 1.23459 | ||||||||
\(373\) | −1.36620e20 | − | 2.36632e20i | −0.364622 | − | 0.631544i | 0.624093 | − | 0.781350i | \(-0.285469\pi\) |
−0.988715 | + | 0.149806i | \(0.952135\pi\) | |||||||
\(374\) | −7.84145e19 | − | 4.52727e19i | −0.204844 | − | 0.118267i | ||||
\(375\) | −1.46187e20 | + | 2.53203e20i | −0.373817 | + | 0.647470i | ||||
\(376\) | 1.24312e19 | − | 7.17715e18i | 0.0311179 | − | 0.0179659i | ||||
\(377\) | − | 6.54006e20i | − | 1.60269i | ||||||
\(378\) | 3.41024e20 | + | 5.24733e20i | 0.818184 | + | 1.25894i | ||||
\(379\) | 7.33317e19 | 0.172257 | 0.0861287 | − | 0.996284i | \(-0.472550\pi\) | ||||
0.0861287 | + | 0.996284i | \(0.472550\pi\) | |||||||
\(380\) | 5.40875e19 | + | 9.36823e19i | 0.124402 | + | 0.215471i | ||||
\(381\) | 1.67866e20 | + | 9.69177e19i | 0.378063 | + | 0.218275i | ||||
\(382\) | 1.83598e20 | − | 3.18001e20i | 0.404913 | − | 0.701329i | ||||
\(383\) | −1.15093e20 | + | 6.64491e19i | −0.248576 | + | 0.143515i | −0.619112 | − | 0.785303i | \(-0.712507\pi\) |
0.370536 | + | 0.928818i | \(0.379174\pi\) | |||||||
\(384\) | − | 5.76957e19i | − | 0.122038i | ||||||
\(385\) | −4.26748e19 | + | 2.25134e18i | −0.0884068 | + | 0.00466396i | ||||
\(386\) | 4.50704e20 | 0.914519 | ||||||||
\(387\) | 1.71314e19 | + | 2.96725e19i | 0.0340491 | + | 0.0589748i | ||||
\(388\) | 4.02559e20 | + | 2.32418e20i | 0.783748 | + | 0.452497i | ||||
\(389\) | −3.21835e20 | + | 5.57434e20i | −0.613813 | + | 1.06315i | 0.376779 | + | 0.926303i | \(0.377032\pi\) |
−0.990592 | + | 0.136852i | \(0.956302\pi\) | |||||||
\(390\) | −3.28355e20 | + | 1.89576e20i | −0.613518 | + | 0.354215i | ||||
\(391\) | − | 2.33374e20i | − | 0.427207i | ||||||
\(392\) | −3.60531e19 | + | 3.81463e18i | −0.0646628 | + | 0.00684169i | ||||
\(393\) | 2.71079e20 | 0.476381 | ||||||||
\(394\) | 6.45376e20 | + | 1.11782e21i | 1.11133 | + | 1.92488i | ||||
\(395\) | −2.05541e20 | − | 1.18669e20i | −0.346834 | − | 0.200245i | ||||
\(396\) | 7.46488e18 | − | 1.29296e19i | 0.0123442 | − | 0.0213807i | ||||
\(397\) | 4.87814e20 | − | 2.81639e20i | 0.790551 | − | 0.456425i | −0.0496056 | − | 0.998769i | \(-0.515796\pi\) |
0.840156 | + | 0.542344i | \(0.182463\pi\) | |||||||
\(398\) | − | 1.36496e21i | − | 2.16798i | ||||||
\(399\) | 1.71650e19 | + | 3.25369e20i | 0.0267216 | + | 0.506516i | ||||
\(400\) | −5.02950e20 | −0.767440 | ||||||||
\(401\) | 6.58539e19 | + | 1.14062e20i | 0.0984978 | + | 0.170603i | 0.911063 | − | 0.412267i | \(-0.135263\pi\) |
−0.812565 | + | 0.582870i | \(0.801930\pi\) | |||||||
\(402\) | −1.44526e21 | − | 8.34422e20i | −2.11903 | − | 1.22342i | ||||
\(403\) | 5.23179e20 | − | 9.06172e20i | 0.751986 | − | 1.30248i | ||||
\(404\) | −4.92352e20 | + | 2.84260e20i | −0.693786 | + | 0.400557i | ||||
\(405\) | 2.77114e20i | 0.382841i | ||||||||
\(406\) | 1.18599e21 | − | 7.70777e20i | 1.60647 | − | 1.04405i | ||||
\(407\) | 2.10163e20 | 0.279127 | ||||||||
\(408\) | −1.93092e19 | − | 3.34445e19i | −0.0251468 | − | 0.0435556i | ||||
\(409\) | 8.77090e20 | + | 5.06388e20i | 1.12010 | + | 0.646691i | 0.941427 | − | 0.337217i | \(-0.109486\pi\) |
0.178675 | + | 0.983908i | \(0.442819\pi\) | |||||||
\(410\) | 2.91640e20 | − | 5.05135e20i | 0.365238 | − | 0.632610i | ||||
\(411\) | −4.21518e20 | + | 2.43364e20i | −0.517704 | + | 0.298897i | ||||
\(412\) | 6.32991e20i | 0.762464i | ||||||||
\(413\) | −5.31892e20 | + | 1.04479e21i | −0.628381 | + | 1.23433i | ||||
\(414\) | 7.52875e19 | 0.0872408 | ||||||||
\(415\) | −1.67410e18 | − | 2.89962e18i | −0.00190281 | − | 0.00329577i | ||||
\(416\) | −1.32630e21 | − | 7.65739e20i | −1.47875 | − | 0.853757i | ||||
\(417\) | 8.79490e19 | − | 1.52332e20i | 0.0961928 | − | 0.166611i | ||||
\(418\) | 1.25195e20 | − | 7.22817e19i | 0.134332 | − | 0.0775564i | ||||
\(419\) | 1.33070e21i | 1.40077i | 0.713763 | + | 0.700387i | \(0.246989\pi\) | ||||
−0.713763 | + | 0.700387i | \(0.753011\pi\) | |||||||
\(420\) | −3.73504e20 | − | 1.90147e20i | −0.385746 | − | 0.196379i | ||||
\(421\) | −4.91810e20 | −0.498357 | −0.249179 | − | 0.968458i | \(-0.580161\pi\) | ||||
−0.249179 | + | 0.968458i | \(0.580161\pi\) | |||||||
\(422\) | −4.91761e20 | − | 8.51756e20i | −0.488939 | − | 0.846867i | ||||
\(423\) | −5.76696e19 | − | 3.32956e19i | −0.0562632 | − | 0.0324836i | ||||
\(424\) | −6.31489e19 | + | 1.09377e20i | −0.0604559 | + | 0.104713i | ||||
\(425\) | −6.11557e20 | + | 3.53083e20i | −0.574547 | + | 0.331715i | ||||
\(426\) | 1.39655e21i | 1.28759i | ||||||||
\(427\) | −2.70440e20 | − | 4.16125e20i | −0.244708 | − | 0.376531i | ||||
\(428\) | −1.34035e20 | −0.119033 | ||||||||
\(429\) | 1.29489e20 | + | 2.24281e20i | 0.112869 | + | 0.195495i | ||||
\(430\) | −3.69588e20 | − | 2.13382e20i | −0.316206 | − | 0.182562i | ||||
\(431\) | −9.08213e20 | + | 1.57307e21i | −0.762728 | + | 1.32108i | 0.178711 | + | 0.983902i | \(0.442807\pi\) |
−0.941439 | + | 0.337182i | \(0.890526\pi\) | |||||||
\(432\) | −1.05043e21 | + | 6.06464e20i | −0.865955 | + | 0.499960i | ||||
\(433\) | 1.07304e21i | 0.868384i | 0.900820 | + | 0.434192i | \(0.142966\pi\) | ||||
−0.900820 | + | 0.434192i | \(0.857034\pi\) | |||||||
\(434\) | 2.25987e21 | − | 1.19221e20i | 1.79542 | − | 0.0947184i | ||||
\(435\) | 7.11102e20 | 0.554649 | ||||||||
\(436\) | −3.31190e19 | − | 5.73637e19i | −0.0253621 | − | 0.0439284i | ||||
\(437\) | 3.22683e20 | + | 1.86301e20i | 0.242619 | + | 0.140076i | ||||
\(438\) | 1.38690e21 | − | 2.40218e21i | 1.02389 | − | 1.77343i | ||||
\(439\) | 2.13480e21 | − | 1.23253e21i | 1.54754 | − | 0.893472i | 0.549209 | − | 0.835685i | \(-0.314929\pi\) |
0.998329 | − | 0.0577870i | \(-0.0184044\pi\) | |||||||
\(440\) | 8.08691e18i | 0.00575653i | ||||||||
\(441\) | 9.89527e19 | + | 1.35998e20i | 0.0691702 | + | 0.0950658i | ||||
\(442\) | −2.05230e21 | −1.40885 | ||||||||
\(443\) | −8.86891e20 | − | 1.53614e21i | −0.597916 | − | 1.03562i | −0.993128 | − | 0.117032i | \(-0.962662\pi\) |
0.395212 | − | 0.918590i | \(-0.370671\pi\) | |||||||
\(444\) | 1.78505e21 | + | 1.03060e21i | 1.18192 | + | 0.682379i | ||||
\(445\) | 4.16113e20 | − | 7.20730e20i | 0.270602 | − | 0.468697i | ||||
\(446\) | 2.06662e21 | − | 1.19316e21i | 1.32002 | − | 0.762116i | ||||
\(447\) | − | 2.92608e21i | − | 1.83580i | ||||||
\(448\) | −9.30733e19 | − | 1.76423e21i | −0.0573589 | − | 1.08726i | ||||
\(449\) | −4.92707e20 | −0.298276 | −0.149138 | − | 0.988816i | \(-0.547650\pi\) | ||||
−0.149138 | + | 0.988816i | \(0.547650\pi\) | |||||||
\(450\) | −1.13906e20 | − | 1.97291e20i | −0.0677402 | − | 0.117329i | ||||
\(451\) | −3.45029e20 | − | 1.99203e20i | −0.201578 | − | 0.116381i | ||||
\(452\) | −2.29176e20 | + | 3.96944e20i | −0.131541 | + | 0.227836i | ||||
\(453\) | 5.54741e20 | − | 3.20280e20i | 0.312827 | − | 0.180611i | ||||
\(454\) | 4.23609e21i | 2.34703i | ||||||||
\(455\) | −8.12166e20 | + | 5.27827e20i | −0.442134 | + | 0.287343i | ||||
\(456\) | 6.16576e19 | 0.0329813 | ||||||||
\(457\) | 2.63108e20 | + | 4.55717e20i | 0.138295 | + | 0.239533i | 0.926851 | − | 0.375429i | \(-0.122505\pi\) |
−0.788557 | + | 0.614962i | \(0.789171\pi\) | |||||||
\(458\) | 1.75484e21 | + | 1.01316e21i | 0.906387 | + | 0.523303i | ||||
\(459\) | −8.51504e20 | + | 1.47485e21i | −0.432201 | + | 0.748593i | ||||
\(460\) | −4.15082e20 | + | 2.39648e20i | −0.207048 | + | 0.119539i | ||||
\(461\) | − | 1.93370e21i | − | 0.947942i | −0.880540 | − | 0.473971i | \(-0.842820\pi\) | ||
0.880540 | − | 0.473971i | \(-0.157180\pi\) | |||||||
\(462\) | −2.54109e20 | + | 4.99145e20i | −0.122429 | + | 0.240487i | ||||
\(463\) | −3.43425e21 | −1.62624 | −0.813118 | − | 0.582099i | \(-0.802232\pi\) | ||||
−0.813118 | + | 0.582099i | \(0.802232\pi\) | |||||||
\(464\) | 1.37072e21 | + | 2.37415e21i | 0.637976 | + | 1.10501i | ||||
\(465\) | 9.85283e20 | + | 5.68854e20i | 0.450752 | + | 0.260242i | ||||
\(466\) | −1.15639e21 | + | 2.00292e21i | −0.520014 | + | 0.900691i | ||||
\(467\) | 1.58993e21 | − | 9.17946e20i | 0.702818 | − | 0.405772i | −0.105578 | − | 0.994411i | \(-0.533669\pi\) |
0.808396 | + | 0.588639i | \(0.200336\pi\) | |||||||
\(468\) | − | 3.38399e20i | − | 0.147049i | ||||||
\(469\) | −3.79936e21 | − | 1.93421e21i | −1.62304 | − | 0.826269i | ||||
\(470\) | 8.29430e20 | 0.348335 | ||||||||
\(471\) | 1.64766e21 | + | 2.85384e21i | 0.680302 | + | 1.17832i | ||||
\(472\) | 1.92137e20 | + | 1.10930e20i | 0.0779963 | + | 0.0450312i | ||||
\(473\) | −1.45749e20 | + | 2.52445e20i | −0.0581723 | + | 0.100757i | ||||
\(474\) | −2.69397e21 | + | 1.55536e21i | −1.05722 | + | 0.610387i | ||||
\(475\) | − | 1.12745e21i | − | 0.435061i | ||||||
\(476\) | −1.23625e21 | − | 1.90221e21i | −0.469084 | − | 0.721778i | ||||
\(477\) | 5.85909e20 | 0.218617 | ||||||||
\(478\) | −1.41329e21 | − | 2.44790e21i | −0.518572 | − | 0.898193i | ||||
\(479\) | −1.31363e21 | − | 7.58425e20i | −0.474012 | − | 0.273671i | 0.243906 | − | 0.969799i | \(-0.421571\pi\) |
−0.717917 | + | 0.696128i | \(0.754905\pi\) | |||||||
\(480\) | 8.32590e20 | − | 1.44209e21i | 0.295462 | − | 0.511755i | ||||
\(481\) | 4.12538e21 | − | 2.38179e21i | 1.43980 | − | 0.831270i | ||||
\(482\) | 2.45829e21i | 0.843835i | ||||||||
\(483\) | −1.44163e21 | + | 7.60539e19i | −0.486716 | + | 0.0256770i | ||||
\(484\) | −3.02125e21 | −1.00329 | ||||||||
\(485\) | 5.84027e20 | + | 1.01156e21i | 0.190765 | + | 0.330415i | ||||
\(486\) | −9.01531e20 | − | 5.20499e20i | −0.289661 | − | 0.167236i | ||||
\(487\) | −1.43212e21 | + | 2.48051e21i | −0.452636 | + | 0.783988i | −0.998549 | − | 0.0538536i | \(-0.982850\pi\) |
0.545913 | + | 0.837842i | \(0.316183\pi\) | |||||||
\(488\) | −8.13332e19 | + | 4.69577e19i | −0.0252877 | + | 0.0145999i | ||||
\(489\) | − | 4.46362e21i | − | 1.36526i | ||||||
\(490\) | −1.91435e21 | − | 8.50734e20i | −0.576041 | − | 0.255991i | ||||
\(491\) | 5.07694e21 | 1.50297 | 0.751485 | − | 0.659751i | \(-0.229338\pi\) | ||||
0.751485 | + | 0.659751i | \(0.229338\pi\) | |||||||
\(492\) | −1.95370e21 | − | 3.38391e21i | −0.569032 | − | 0.985592i | ||||
\(493\) | 3.33343e21 | + | 1.92455e21i | 0.955246 | + | 0.551512i | ||||
\(494\) | 1.63834e21 | − | 2.83769e21i | 0.461943 | − | 0.800109i | ||||
\(495\) | 3.24898e19 | − | 1.87580e19i | 0.00901376 | − | 0.00520410i | ||||
\(496\) | 4.38608e21i | 1.19736i | ||||||||
\(497\) | 1.87957e20 | + | 3.56278e21i | 0.0504902 | + | 0.957058i | ||||
\(498\) | −4.38838e19 | −0.0116003 | ||||||||
\(499\) | 7.64190e20 | + | 1.32362e21i | 0.198791 | + | 0.344316i | 0.948137 | − | 0.317863i | \(-0.102965\pi\) |
−0.749346 | + | 0.662179i | \(0.769632\pi\) | |||||||
\(500\) | 2.81480e21 | + | 1.62513e21i | 0.720590 | + | 0.416033i | ||||
\(501\) | 1.18030e20 | − | 2.04435e20i | 0.0297367 | − | 0.0515054i | ||||
\(502\) | −4.07338e20 | + | 2.35176e20i | −0.101001 | + | 0.0583128i | ||||
\(503\) | 1.58284e21i | 0.386272i | 0.981172 | + | 0.193136i | \(0.0618658\pi\) | ||||
−0.981172 | + | 0.193136i | \(0.938134\pi\) | |||||||
\(504\) | 2.66867e19 | − | 1.73437e19i | 0.00640990 | − | 0.00416580i | ||||
\(505\) | −1.42860e21 | −0.337737 | ||||||||
\(506\) | 3.20261e20 | + | 5.54709e20i | 0.0745247 | + | 0.129081i | ||||
\(507\) | 1.53188e21 | + | 8.84431e20i | 0.350882 | + | 0.202582i | ||||
\(508\) | 1.07741e21 | − | 1.86613e21i | 0.242925 | − | 0.420758i | ||||
\(509\) | −3.48952e21 | + | 2.01467e21i | −0.774503 | + | 0.447160i | −0.834479 | − | 0.551040i | \(-0.814231\pi\) |
0.0599754 | + | 0.998200i | \(0.480898\pi\) | |||||||
\(510\) | − | 2.23148e21i | − | 0.487563i | ||||||
\(511\) | 3.21488e21 | − | 6.31496e21i | 0.691508 | − | 1.35832i | ||||
\(512\) | 6.71206e21 | 1.42133 | ||||||||
\(513\) | −1.35950e21 | − | 2.35472e21i | −0.283426 | − | 0.490909i | ||||
\(514\) | −2.28410e21 | − | 1.31873e21i | −0.468825 | − | 0.270676i | ||||
\(515\) | −7.95300e20 | + | 1.37750e21i | −0.160721 | + | 0.278377i | ||||
\(516\) | −2.47587e21 | + | 1.42945e21i | −0.492642 | + | 0.284427i | ||||
\(517\) | − | 5.66537e20i | − | 0.110995i | ||||||
\(518\) | 9.18115e21 | + | 4.67402e21i | 1.77117 | + | 0.901680i | ||||
\(519\) | −2.73673e21 | −0.519869 | ||||||||
\(520\) | 9.16491e19 | + | 1.58741e20i | 0.0171436 | + | 0.0296936i | ||||
\(521\) | −6.66267e21 | − | 3.84670e21i | −1.22729 | − | 0.708575i | −0.260827 | − | 0.965386i | \(-0.583995\pi\) |
−0.966462 | + | 0.256810i | \(0.917328\pi\) | |||||||
\(522\) | −6.20869e20 | + | 1.07538e21i | −0.112625 | + | 0.195073i | ||||
\(523\) | 2.33431e21 | − | 1.34771e21i | 0.417008 | − | 0.240760i | −0.276788 | − | 0.960931i | \(-0.589270\pi\) |
0.693796 | + | 0.720171i | \(0.255937\pi\) | |||||||
\(524\) | − | 3.01352e21i | − | 0.530180i | ||||||
\(525\) | 2.38040e21 | + | 3.66271e21i | 0.412454 | + | 0.634642i | ||||
\(526\) | −2.29319e21 | −0.391340 | ||||||||
\(527\) | 3.07913e21 | + | 5.33322e21i | 0.517540 | + | 0.896405i | ||||
\(528\) | −9.40134e20 | − | 5.42786e20i | −0.155639 | − | 0.0898582i | ||||
\(529\) | 2.24085e21 | − | 3.88127e21i | 0.365400 | − | 0.632891i | ||||
\(530\) | −6.32010e21 | + | 3.64891e21i | −1.01512 | + | 0.586079i | ||||
\(531\) | − | 1.02923e21i | − | 0.162839i | ||||||
\(532\) | 3.61705e21 | − | 1.90820e20i | 0.563717 | − | 0.0297393i | ||||
\(533\) | −9.03028e21 | −1.38638 | ||||||||
\(534\) | −5.45388e21 | − | 9.44639e21i | −0.824851 | − | 1.42868i | ||||
\(535\) | −2.91684e20 | − | 1.68404e20i | −0.0434593 | − | 0.0250912i | ||||
\(536\) | −4.03395e20 | + | 6.98700e20i | −0.0592123 | + | 0.102559i | ||||
\(537\) | −3.77389e21 | + | 2.17886e21i | −0.545751 | + | 0.315090i | ||||
\(538\) | 4.63952e21i | 0.661020i | ||||||||
\(539\) | −5.81089e20 | + | 1.30759e21i | −0.0815703 | + | 0.183553i | ||||
\(540\) | 3.49758e21 | 0.483746 | ||||||||
\(541\) | −1.46498e21 | − | 2.53742e21i | −0.199643 | − | 0.345792i | 0.748770 | − | 0.662830i | \(-0.230645\pi\) |
−0.948413 | + | 0.317038i | \(0.897312\pi\) | |||||||
\(542\) | −1.50416e22 | − | 8.68429e21i | −2.01976 | − | 1.16611i | ||||
\(543\) | −3.12941e21 | + | 5.42029e21i | −0.414060 | + | 0.717173i | ||||
\(544\) | 7.80585e21 | − | 4.50671e21i | 1.01772 | − | 0.587582i | ||||
\(545\) | − | 1.66445e20i | − | 0.0213845i | ||||||
\(546\) | 6.68821e20 | + | 1.26777e22i | 0.0846777 | + | 1.60509i | ||||
\(547\) | 1.24749e22 | 1.55646 | 0.778231 | − | 0.627978i | \(-0.216117\pi\) | ||||
0.778231 | + | 0.627978i | \(0.216117\pi\) | |||||||
\(548\) | 2.70542e21 | + | 4.68592e21i | 0.332652 | + | 0.576170i | ||||
\(549\) | 3.77313e20 | + | 2.17842e20i | 0.0457218 | + | 0.0263975i | ||||
\(550\) | 9.69076e20 | − | 1.67849e21i | 0.115733 | − | 0.200455i | ||||
\(551\) | −5.32210e21 | + | 3.07272e21i | −0.626426 | + | 0.361668i | ||||
\(552\) | 2.73189e20i | 0.0316921i | ||||||||
\(553\) | −6.66335e21 | + | 4.33052e21i | −0.761889 | + | 0.495153i | ||||
\(554\) | 1.22938e22 | 1.38551 | ||||||||
\(555\) | 2.58972e21 | + | 4.48553e21i | 0.287680 | + | 0.498276i | ||||
\(556\) | −1.69344e21 | − | 9.77709e20i | −0.185426 | − | 0.107056i | ||||
\(557\) | 2.16376e21 | − | 3.74774e21i | 0.233543 | − | 0.404509i | −0.725305 | − | 0.688428i | \(-0.758301\pi\) |
0.958848 | + | 0.283919i | \(0.0916346\pi\) | |||||||
\(558\) | −1.72052e21 | + | 9.93341e20i | −0.183057 | + | 0.105688i | ||||
\(559\) | 6.60711e21i | 0.692974i | ||||||||
\(560\) | 1.84204e21 | − | 3.61831e21i | 0.190456 | − | 0.374112i | ||||
\(561\) | −1.52420e21 | −0.155360 | ||||||||
\(562\) | 4.90497e21 | + | 8.49565e21i | 0.492885 | + | 0.853702i | ||||
\(563\) | −4.07153e21 | − | 2.35070e21i | −0.403358 | − | 0.232879i | 0.284574 | − | 0.958654i | \(-0.408148\pi\) |
−0.687932 | + | 0.725775i | \(0.741481\pi\) | |||||||
\(564\) | 2.77818e21 | − | 4.81195e21i | 0.271349 | − | 0.469990i | ||||
\(565\) | −9.97454e20 | + | 5.75880e20i | −0.0960518 | + | 0.0554555i | ||||
\(566\) | − | 2.30696e22i | − | 2.19033i | ||||||
\(567\) | 8.26889e21 | + | 4.20960e21i | 0.774075 | + | 0.394073i | ||||
\(568\) | 6.75149e20 | 0.0623180 | ||||||||
\(569\) | −6.99227e21 | − | 1.21110e22i | −0.636385 | − | 1.10225i | −0.986220 | − | 0.165439i | \(-0.947096\pi\) |
0.349835 | − | 0.936811i | \(-0.386238\pi\) | |||||||
\(570\) | 3.08542e21 | + | 1.78137e21i | 0.276896 | + | 0.159866i | ||||
\(571\) | 4.40599e20 | − | 7.63139e20i | 0.0389901 | − | 0.0675328i | −0.845872 | − | 0.533386i | \(-0.820919\pi\) |
0.884862 | + | 0.465853i | \(0.154253\pi\) | |||||||
\(572\) | 2.49328e21 | − | 1.43950e21i | 0.217572 | − | 0.125615i | ||||
\(573\) | − | 6.18120e21i | − | 0.531908i | ||||||
\(574\) | −1.06426e22 | − | 1.63757e22i | −0.903136 | − | 1.38965i | ||||
\(575\) | 4.99545e21 | 0.418054 | ||||||||
\(576\) | 7.75481e20 | + | 1.34317e21i | 0.0640017 | + | 0.110854i | ||||
\(577\) | 1.70462e22 | + | 9.84163e21i | 1.38746 | + | 0.801051i | 0.993029 | − | 0.117873i | \(-0.0376077\pi\) |
0.394433 | + | 0.918925i | \(0.370941\pi\) | |||||||
\(578\) | −2.86882e21 | + | 4.96895e21i | −0.230293 | + | 0.398879i | ||||
\(579\) | 6.57048e21 | − | 3.79347e21i | 0.520198 | − | 0.300336i | ||||
\(580\) | − | 7.90516e21i | − | 0.617286i | ||||||
\(581\) | −1.11954e20 | + | 5.90618e18i | −0.00862242 | + | 0.000454881i | ||||
\(582\) | 1.53094e22 | 1.16298 | ||||||||
\(583\) | 2.49237e21 | + | 4.31690e21i | 0.186751 | + | 0.323463i | ||||
\(584\) | −1.16132e21 | − | 6.70487e20i | −0.0858318 | − | 0.0495550i | ||||
\(585\) | 4.25170e20 | − | 7.36416e20i | 0.0309967 | − | 0.0536879i | ||||
\(586\) | −1.40635e22 | + | 8.11956e21i | −1.01137 | + | 0.583917i | ||||
\(587\) | − | 3.52027e21i | − | 0.249730i | −0.992174 | − | 0.124865i | \(-0.960150\pi\) | ||
0.992174 | − | 0.124865i | \(-0.0398498\pi\) | |||||||
\(588\) | −1.13477e22 | + | 8.25661e21i | −0.794125 | + | 0.577808i | ||||
\(589\) | −9.83220e21 | −0.678779 | ||||||||
\(590\) | 6.40984e21 | + | 1.11022e22i | 0.436547 | + | 0.756122i | ||||
\(591\) | 1.88169e22 | + | 1.08639e22i | 1.26430 | + | 0.729941i | ||||
\(592\) | −9.98389e21 | + | 1.72926e22i | −0.661799 | + | 1.14627i | ||||
\(593\) | −1.15289e22 | + | 6.65619e21i | −0.753961 | + | 0.435299i | −0.827123 | − | 0.562021i | \(-0.810024\pi\) |
0.0731626 | + | 0.997320i | \(0.476691\pi\) | |||||||
\(594\) | − | 4.67410e21i | − | 0.301583i | ||||||
\(595\) | −3.00327e20 | − | 5.69280e21i | −0.0191187 | − | 0.362402i | ||||
\(596\) | −3.25285e22 | −2.04312 | ||||||||
\(597\) | −1.14885e22 | − | 1.98988e22i | −0.711984 | − | 1.23319i | ||||
\(598\) | 1.25731e22 | + | 7.25906e21i | 0.768832 | + | 0.443885i | ||||
\(599\) | −2.94803e21 | + | 5.10613e21i | −0.177876 | + | 0.308090i | −0.941153 | − | 0.337982i | \(-0.890256\pi\) |
0.763277 | + | 0.646071i | \(0.223589\pi\) | |||||||
\(600\) | 7.15892e20 | − | 4.13320e20i | 0.0426223 | − | 0.0246080i | ||||
\(601\) | 1.41944e22i | 0.833913i | 0.908926 | + | 0.416956i | \(0.136903\pi\) | ||||
−0.908926 | + | 0.416956i | \(0.863097\pi\) | |||||||
\(602\) | −1.19815e22 | + | 7.78679e21i | −0.694608 | + | 0.451426i | ||||
\(603\) | 3.74278e21 | 0.214119 | ||||||||
\(604\) | −3.56048e21 | − | 6.16693e21i | −0.201008 | − | 0.348156i | ||||
\(605\) | −6.57479e21 | − | 3.79596e21i | −0.366302 | − | 0.211484i | ||||
\(606\) | −9.36209e21 | + | 1.62156e22i | −0.514745 | + | 0.891564i | ||||
\(607\) | −8.59174e21 | + | 4.96044e21i | −0.466199 | + | 0.269160i | −0.714647 | − | 0.699485i | \(-0.753413\pi\) |
0.248448 | + | 0.968645i | \(0.420079\pi\) | |||||||
\(608\) | 1.43907e22i | 0.770642i | ||||||||
\(609\) | 1.08022e22 | − | 2.12188e22i | 0.570921 | − | 1.12146i | ||||
\(610\) | −5.42669e21 | −0.283072 | ||||||||
\(611\) | −6.42058e21 | − | 1.11208e22i | −0.330556 | − | 0.572539i | ||||
\(612\) | 1.72480e21 | + | 9.95812e20i | 0.0876449 | + | 0.0506018i | ||||
\(613\) | 1.52319e21 | − | 2.63824e21i | 0.0763957 | − | 0.132321i | −0.825297 | − | 0.564699i | \(-0.808992\pi\) |
0.901692 | + | 0.432378i | \(0.142325\pi\) | |||||||
\(614\) | 3.70948e22 | − | 2.14167e22i | 1.83640 | − | 1.06024i | ||||
\(615\) | − | 9.81864e21i | − | 0.479789i | ||||||
\(616\) | 2.41308e20 | + | 1.22847e20i | 0.0116393 | + | 0.00592542i | ||||
\(617\) | 2.74214e22 | 1.30560 | 0.652798 | − | 0.757532i | \(-0.273595\pi\) | ||||
0.652798 | + | 0.757532i | \(0.273595\pi\) | |||||||
\(618\) | 1.04238e22 | + | 1.80545e22i | 0.489911 | + | 0.848550i | ||||
\(619\) | −1.70049e22 | − | 9.81777e21i | −0.788948 | − | 0.455499i | 0.0506443 | − | 0.998717i | \(-0.483873\pi\) |
−0.839592 | + | 0.543218i | \(0.817206\pi\) | |||||||
\(620\) | 6.32381e21 | − | 1.09532e22i | 0.289631 | − | 0.501656i | ||||
\(621\) | 1.04332e22 | − | 6.02359e21i | 0.471719 | − | 0.272347i | ||||
\(622\) | − | 1.57143e22i | − | 0.701412i | ||||||
\(623\) | −1.51850e22 | − | 2.33650e22i | −0.669128 | − | 1.02958i | ||||
\(624\) | −2.46056e22 | −1.07043 | ||||||||
\(625\) | −5.29636e21 | − | 9.17356e21i | −0.227477 | − | 0.394001i | ||||
\(626\) | 2.61672e22 | + | 1.51076e22i | 1.10959 | + | 0.640622i | ||||
\(627\) | 1.21675e21 | − | 2.10748e21i | 0.0509404 | − | 0.0882314i | ||||
\(628\) | 3.17255e22 | − | 1.83167e22i | 1.31139 | − | 0.757129i | ||||
\(629\) | 2.80357e22i | 1.14421i | ||||||||
\(630\) | 1.83652e21 | − | 9.68868e19i | 0.0740068 | − | 0.00390428i | ||||
\(631\) | 4.71844e21 | 0.187743 | 0.0938715 | − | 0.995584i | \(-0.470076\pi\) | ||||
0.0938715 | + | 0.995584i | \(0.470076\pi\) | |||||||
\(632\) | 7.51929e20 | + | 1.30238e21i | 0.0295420 | + | 0.0511683i | ||||
\(633\) | −1.43380e22 | − | 8.27807e21i | −0.556237 | − | 0.321144i | ||||
\(634\) | 8.65351e21 | − | 1.49883e22i | 0.331496 | − | 0.574168i | ||||
\(635\) | 4.68928e21 | − | 2.70736e21i | 0.177385 | − | 0.102413i | ||||
\(636\) | 4.88882e22i | 1.82620i | ||||||||
\(637\) | 3.41251e21 | + | 3.22526e22i | 0.125881 | + | 1.18973i | ||||
\(638\) | −1.05643e22 | −0.384836 | ||||||||
\(639\) | −1.56605e21 | − | 2.71247e21i | −0.0563375 | − | 0.0975794i | ||||
\(640\) | −1.39578e21 | − | 8.05852e20i | −0.0495880 | − | 0.0286296i | ||||
\(641\) | 1.20711e22 | − | 2.09077e22i | 0.423527 | − | 0.733571i | −0.572754 | − | 0.819727i | \(-0.694125\pi\) |
0.996282 | + | 0.0861561i | \(0.0274584\pi\) | |||||||
\(642\) | −3.82302e21 | + | 2.20722e21i | −0.132473 | + | 0.0764832i | ||||
\(643\) | 5.46955e22i | 1.87182i | 0.352239 | + | 0.935910i | \(0.385420\pi\) | ||||
−0.352239 | + | 0.935910i | \(0.614580\pi\) | |||||||
\(644\) | 8.45473e20 | + | 1.60262e22i | 0.0285767 | + | 0.541681i | ||||
\(645\) | −7.18393e21 | −0.239819 | ||||||||
\(646\) | 9.64234e21 | + | 1.67010e22i | 0.317923 | + | 0.550659i | ||||
\(647\) | −3.60635e22 | − | 2.08213e22i | −1.17445 | − | 0.678068i | −0.219725 | − | 0.975562i | \(-0.570516\pi\) |
−0.954724 | + | 0.297494i | \(0.903849\pi\) | |||||||
\(648\) | 8.77944e20 | − | 1.52064e21i | 0.0282401 | − | 0.0489134i | ||||
\(649\) | 7.58327e21 | − | 4.37820e21i | 0.240934 | − | 0.139104i | ||||
\(650\) | − | 4.39303e22i | − | 1.37866i | ||||||
\(651\) | 3.19415e22 | − | 2.07588e22i | 0.990164 | − | 0.643509i | ||||
\(652\) | −4.96210e22 | −1.51944 | ||||||||
\(653\) | 1.93052e22 | + | 3.34375e22i | 0.583940 | + | 1.01141i | 0.995007 | + | 0.0998079i | \(0.0318228\pi\) |
−0.411067 | + | 0.911605i | \(0.634844\pi\) | |||||||
\(654\) | −1.88927e21 | − | 1.09077e21i | −0.0564512 | − | 0.0325921i | ||||
\(655\) | 3.78623e21 | − | 6.55795e21i | 0.111758 | − | 0.193570i | ||||
\(656\) | 3.27815e22 | − | 1.89264e22i | 0.955867 | − | 0.551870i | ||||
\(657\) | 6.22092e21i | 0.179197i | ||||||||
\(658\) | 1.25997e22 | − | 2.47496e22i | 0.358554 | − | 0.704306i | ||||
\(659\) | −4.01978e22 | −1.13011 | −0.565053 | − | 0.825054i | \(-0.691144\pi\) | ||||
−0.565053 | + | 0.825054i | \(0.691144\pi\) | |||||||
\(660\) | 1.56517e21 | + | 2.71095e21i | 0.0434720 | + | 0.0752957i | ||||
\(661\) | 1.38024e22 | + | 7.96883e21i | 0.378742 | + | 0.218667i | 0.677271 | − | 0.735734i | \(-0.263163\pi\) |
−0.298529 | + | 0.954401i | \(0.596496\pi\) | |||||||
\(662\) | −4.04228e20 | + | 7.00144e20i | −0.0109588 | + | 0.0189812i | ||||
\(663\) | −2.99190e22 | + | 1.72738e22i | −0.801381 | + | 0.462678i | ||||
\(664\) | 2.12153e19i | 0.000561441i | ||||||||
\(665\) | 8.11109e21 | + | 4.12927e21i | 0.212083 | + | 0.107969i | ||||
\(666\) | −9.04443e21 | −0.233662 | ||||||||
\(667\) | −1.36144e22 | − | 2.35808e22i | −0.347530 | − | 0.601939i | ||||
\(668\) | −2.27265e21 | − | 1.31212e21i | −0.0573220 | − | 0.0330949i | ||||
\(669\) | 2.00851e22 | − | 3.47885e22i | 0.500571 | − | 0.867015i | ||||
\(670\) | −4.03728e22 | + | 2.33092e22i | −0.994237 | + | 0.574023i | ||||
\(671\) | 3.70667e21i | 0.0901993i | ||||||||
\(672\) | −3.03832e22 | − | 4.67505e22i | −0.730599 | − | 1.12417i | ||||
\(673\) | 1.60283e21 | 0.0380861 | 0.0190431 | − | 0.999819i | \(-0.493938\pi\) | ||||
0.0190431 | + | 0.999819i | \(0.493938\pi\) | |||||||
\(674\) | −8.21896e20 | − | 1.42357e21i | −0.0192991 | − | 0.0334271i | ||||
\(675\) | −3.15696e22 | − | 1.82267e22i | −0.732553 | − | 0.422940i | ||||
\(676\) | 9.83201e21 | − | 1.70295e22i | 0.225460 | − | 0.390507i | ||||
\(677\) | −5.75294e22 | + | 3.32146e22i | −1.30371 | + | 0.752696i | −0.981038 | − | 0.193816i | \(-0.937914\pi\) |
−0.322670 | + | 0.946512i | \(0.604580\pi\) | |||||||
\(678\) | 1.50958e22i | 0.338079i | ||||||||
\(679\) | 3.90563e22 | − | 2.06044e21i | 0.864436 | − | 0.0456038i | ||||
\(680\) | −1.07879e21 | −0.0235975 | ||||||||
\(681\) | 3.56541e22 | + | 6.17547e22i | 0.770784 | + | 1.33504i | ||||
\(682\) | −1.46376e22 | − | 8.45104e21i | −0.312749 | − | 0.180566i | ||||
\(683\) | −7.86402e21 | + | 1.36209e22i | −0.166065 | + | 0.287634i | −0.937033 | − | 0.349241i | \(-0.886440\pi\) |
0.770968 | + | 0.636874i | \(0.219773\pi\) | |||||||
\(684\) | −2.75379e21 | + | 1.58990e21i | −0.0574753 | + | 0.0331834i | ||||
\(685\) | 1.35965e22i | 0.280481i | ||||||||
\(686\) | −5.44660e22 | + | 4.41996e22i | −1.11053 | + | 0.901209i | ||||
\(687\) | 3.41100e22 | 0.687429 | ||||||||
\(688\) | −1.38477e22 | − | 2.39849e22i | −0.275848 | − | 0.477784i | ||||
\(689\) | 9.78472e22 | + | 5.64921e22i | 1.92661 | + | 1.11233i | ||||
\(690\) | −7.89279e21 | + | 1.36707e22i | −0.153617 | + | 0.266072i | ||||
\(691\) | −2.92712e22 | + | 1.68998e22i | −0.563140 | + | 0.325129i | −0.754405 | − | 0.656409i | \(-0.772074\pi\) |
0.191265 | + | 0.981538i | \(0.438741\pi\) | |||||||
\(692\) | 3.04236e22i | 0.578578i | ||||||||
\(693\) | −6.61780e19 | − | 1.25442e21i | −0.00124408 | − | 0.0235819i | ||||
\(694\) | 1.11495e23 | 2.07195 | ||||||||
\(695\) | −2.45682e21 | − | 4.25534e21i | −0.0451331 | − | 0.0781728i | ||||
\(696\) | −3.90212e21 | − | 2.25289e21i | −0.0708642 | − | 0.0409135i | ||||
\(697\) | 2.65735e22 | − | 4.60267e22i | 0.477076 | − | 0.826319i | ||||
\(698\) | 5.26610e22 | − | 3.04038e22i | 0.934643 | − | 0.539616i | ||||
\(699\) | 3.89321e22i | 0.683109i | ||||||||
\(700\) | 4.07175e22 | − | 2.64624e22i | 0.706313 | − | 0.459033i | ||||
\(701\) | −3.85864e22 | −0.661744 | −0.330872 | − | 0.943676i | \(-0.607343\pi\) | ||||
−0.330872 | + | 0.943676i | \(0.607343\pi\) | |||||||
\(702\) | −5.29717e22 | − | 9.17497e22i | −0.898147 | − | 1.55564i | ||||
\(703\) | −3.87645e22 | − | 2.23807e22i | −0.649818 | − | 0.375173i | ||||
\(704\) | −6.59756e21 | + | 1.14273e22i | −0.109346 | + | 0.189392i | ||||
\(705\) | 1.20916e22 | − | 6.98111e21i | 0.198140 | − | 0.114396i | ||||
\(706\) | − | 1.49616e23i | − | 2.42404i | ||||||
\(707\) | −2.17016e22 | + | 4.26283e22i | −0.347645 | + | 0.682877i | ||||
\(708\) | 8.58793e22 | 1.36026 | ||||||||
\(709\) | −4.46709e21 | − | 7.73724e21i | −0.0699609 | − | 0.121176i | 0.828923 | − | 0.559363i | \(-0.188954\pi\) |
−0.898884 | + | 0.438187i | \(0.855621\pi\) | |||||||
\(710\) | 3.37853e22 | + | 1.95060e22i | 0.523192 | + | 0.302065i | ||||
\(711\) | 3.48828e21 | − | 6.04187e21i | 0.0534139 | − | 0.0925156i | ||||
\(712\) | −4.56679e21 | + | 2.63664e21i | −0.0691466 | + | 0.0399218i | ||||
\(713\) | − | 4.35639e22i | − | 0.652245i | ||||||
\(714\) | −6.65857e22 | − | 3.38980e22i | −0.985815 | − | 0.501867i | ||||
\(715\) | 7.23443e21 | 0.105915 | ||||||||
\(716\) | 2.42218e22 | + | 4.19535e22i | 0.350673 | + | 0.607384i | ||||
\(717\) | −4.12067e22 | − | 2.37907e22i | −0.589949 | − | 0.340607i | ||||
\(718\) | −8.37575e22 | + | 1.45072e23i | −1.18585 | + | 2.05394i | ||||
\(719\) | 1.04644e23 | − | 6.04164e22i | 1.46516 | − | 0.845909i | 0.465916 | − | 0.884829i | \(-0.345725\pi\) |
0.999242 | + | 0.0389195i | \(0.0123916\pi\) | |||||||
\(720\) | 3.56442e21i | 0.0493548i | ||||||||
\(721\) | 2.90224e22 | + | 4.46566e22i | 0.397421 | + | 0.611510i | ||||
\(722\) | 7.48176e22 | 1.01323 | ||||||||
\(723\) | 2.06909e22 | + | 3.58376e22i | 0.277123 | + | 0.479991i | ||||
\(724\) | 6.02561e22 | + | 3.47889e22i | 0.798165 | + | 0.460821i | ||||
\(725\) | −4.11957e22 | + | 7.13531e22i | −0.539695 | + | 0.934779i | ||||
\(726\) | −8.61738e22 | + | 4.97525e22i | −1.11656 | + | 0.644647i | ||||
\(727\) | − | 1.52182e23i | − | 1.95024i | −0.221668 | − | 0.975122i | \(-0.571150\pi\) | ||
0.221668 | − | 0.975122i | \(-0.428850\pi\) | |||||||
\(728\) | 6.12895e21 | − | 3.23337e20i | 0.0776846 | − | 0.00409830i | ||||
\(729\) | −8.68097e22 | −1.08830 | ||||||||
\(730\) | −3.87425e22 | − | 6.71040e22i | −0.480402 | − | 0.832081i | ||||
\(731\) | −3.36760e22 | − | 1.94429e22i | −0.413030 | − | 0.238463i | ||||
\(732\) | −1.81767e22 | + | 3.14830e22i | −0.220510 | + | 0.381934i | ||||
\(733\) | −2.79416e22 | + | 1.61321e22i | −0.335289 | + | 0.193579i | −0.658187 | − | 0.752855i | \(-0.728676\pi\) |
0.322898 | + | 0.946434i | \(0.395343\pi\) | |||||||
\(734\) | − | 5.70143e21i | − | 0.0676730i | ||||||
\(735\) | −3.50683e22 | + | 3.71043e21i | −0.411734 | + | 0.0435638i | ||||
\(736\) | −6.37614e22 | −0.740517 | ||||||||
\(737\) | 1.59212e22 | + | 2.75764e22i | 0.182910 | + | 0.316809i | ||||
\(738\) | 1.48484e22 | + | 8.57273e21i | 0.168744 | + | 0.0974245i | ||||
\(739\) | 9.56448e21 | − | 1.65662e22i | 0.107524 | − | 0.186237i | −0.807243 | − | 0.590220i | \(-0.799041\pi\) |
0.914767 | + | 0.403983i | \(0.132374\pi\) | |||||||
\(740\) | 4.98646e22 | − | 2.87893e22i | 0.554547 | − | 0.320168i | ||||
\(741\) | − | 5.51580e22i | − | 0.606825i | ||||||
\(742\) | 1.28733e22 | + | 2.44017e23i | 0.140107 | + | 2.65576i | ||||
\(743\) | −4.33327e22 | −0.466557 | −0.233279 | − | 0.972410i | \(-0.574945\pi\) | ||||
−0.233279 | + | 0.972410i | \(0.574945\pi\) | |||||||
\(744\) | −3.60445e21 | − | 6.24309e21i | −0.0383933 | − | 0.0664991i | ||||
\(745\) | −7.07879e22 | − | 4.08694e22i | −0.745949 | − | 0.430674i | ||||
\(746\) | −5.00207e22 | + | 8.66384e22i | −0.521482 | + | 0.903233i | ||||
\(747\) | 8.52342e19 | − | 4.92100e19i | 0.000879122 | − | 0.000507561i | ||||
\(748\) | 1.69441e22i | 0.172905i | ||||||||
\(749\) | −9.45599e21 | + | 6.14546e21i | −0.0954669 | + | 0.0620440i | ||||
\(750\) | 1.07047e23 | 1.06926 | ||||||||
\(751\) | −1.77899e22 | − | 3.08130e22i | −0.175814 | − | 0.304520i | 0.764628 | − | 0.644471i | \(-0.222923\pi\) |
−0.940443 | + | 0.339952i | \(0.889589\pi\) | |||||||
\(752\) | 4.66156e22 | + | 2.69135e22i | 0.455815 | + | 0.263165i | ||||
\(753\) | −3.95885e21 | + | 6.85692e21i | −0.0383009 | + | 0.0663391i | ||||
\(754\) | −2.07371e23 | + | 1.19726e23i | −1.98508 | + | 1.14608i | ||||
\(755\) | − | 1.78938e22i | − | 0.169483i | ||||||
\(756\) | 5.31311e22 | − | 1.04365e23i | 0.497938 | − | 0.978096i | ||||
\(757\) | 1.06877e23 | 0.991099 | 0.495550 | − | 0.868580i | \(-0.334967\pi\) | ||||
0.495550 | + | 0.868580i | \(0.334967\pi\) | |||||||
\(758\) | −1.34245e22 | − | 2.32519e22i | −0.123181 | − | 0.213356i | ||||
\(759\) | 9.33770e21 | + | 5.39112e21i | 0.0847824 | + | 0.0489491i | ||||
\(760\) | 8.61190e20 | − | 1.49162e21i | 0.00773731 | − | 0.0134014i | ||||
\(761\) | 1.73737e23 | − | 1.00307e23i | 1.54459 | − | 0.891772i | 0.546055 | − | 0.837749i | \(-0.316129\pi\) |
0.998540 | − | 0.0540231i | \(-0.0172045\pi\) | |||||||
\(762\) | − | 7.09691e22i | − | 0.624352i | ||||||
\(763\) | −4.96660e21 | − | 2.52844e21i | −0.0432377 | − | 0.0220118i | ||||
\(764\) | −6.87150e22 | −0.591977 | ||||||||
\(765\) | 2.50231e21 | + | 4.33413e21i | 0.0213329 | + | 0.0369497i | ||||
\(766\) | 4.21391e22 | + | 2.43290e22i | 0.355513 | + | 0.205255i | ||||
\(767\) | 9.92366e22 | − | 1.71883e23i | 0.828531 | − | 1.43506i | ||||
\(768\) | 8.89065e22 | − | 5.13302e22i | 0.734588 | − | 0.424114i | ||||
\(769\) | 1.85562e22i | 0.151732i | 0.997118 | + | 0.0758662i | \(0.0241722\pi\) | ||||
−0.997118 | + | 0.0758662i | \(0.975828\pi\) | |||||||
\(770\) | 8.52613e21 | + | 1.31191e22i | 0.0689963 | + | 0.106164i | ||||
\(771\) | −4.43976e22 | −0.355570 | ||||||||
\(772\) | −4.21711e22 | − | 7.30425e22i | −0.334254 | − | 0.578945i | ||||
\(773\) | −1.41774e23 | − | 8.18533e22i | −1.11214 | − | 0.642096i | −0.172760 | − | 0.984964i | \(-0.555268\pi\) |
−0.939384 | + | 0.342867i | \(0.888602\pi\) | |||||||
\(774\) | 6.27234e21 | − | 1.08640e22i | 0.0486970 | − | 0.0843456i | ||||
\(775\) | −1.14159e23 | + | 6.59099e22i | −0.877198 | + | 0.506451i | ||||
\(776\) | − | 7.40119e21i | − | 0.0562870i | ||||||
\(777\) | 1.73185e23 | − | 9.13650e21i | 1.30360 | − | 0.0687720i | ||||
\(778\) | 2.35667e23 | 1.75575 | ||||||||
\(779\) | 4.24269e22 | + | 7.34856e22i | 0.312854 | + | 0.541879i | ||||
\(780\) | 6.14466e22 | + | 3.54762e22i | 0.448478 | + | 0.258929i | ||||
\(781\) | 1.33234e22 | − | 2.30769e22i | 0.0962516 | − | 0.166713i | ||||
\(782\) | −7.39979e22 | + | 4.27227e22i | −0.529134 | + | 0.305495i | ||||
\(783\) | 1.98698e23i | 1.40637i | ||||||||
\(784\) | −7.99856e22 | − | 1.09930e23i | −0.560381 | − | 0.770174i | ||||
\(785\) | 9.20536e22 | 0.638387 | ||||||||
\(786\) | −4.96251e22 | − | 8.59531e22i | −0.340660 | − | 0.590040i | ||||
\(787\) | 9.89153e21 | + | 5.71088e21i | 0.0672149 | + | 0.0388065i | 0.533231 | − | 0.845970i | \(-0.320978\pi\) |
−0.466016 | + | 0.884776i | \(0.654311\pi\) | |||||||
\(788\) | 1.20772e23 | − | 2.09183e23i | 0.812375 | − | 1.40707i | ||||
\(789\) | −3.34307e22 | + | 1.93012e22i | −0.222602 | + | 0.128520i | ||||
\(790\) | 8.68969e22i | 0.572779i | ||||||||
\(791\) | 2.03170e21 | + | 3.85115e22i | 0.0132571 | + | 0.251292i | ||||
\(792\) | −2.37714e20 | −0.00153551 | ||||||||
\(793\) | 4.20077e22 | + | 7.27595e22i | 0.268623 | + | 0.465269i | ||||
\(794\) | −1.78603e23 | − | 1.03117e23i | −1.13064 | − | 0.652778i | ||||
\(795\) | −6.14240e22 | + | 1.06389e23i | −0.384947 | + | 0.666748i | ||||
\(796\) | −2.21210e23 | + | 1.27716e23i | −1.37246 | + | 0.792390i | ||||
\(797\) | 1.79511e23i | 1.10262i | 0.834302 | + | 0.551308i | \(0.185871\pi\) | ||||
−0.834302 | + | 0.551308i | \(0.814129\pi\) | |||||||
\(798\) | 1.00025e23 | − | 6.50064e22i | 0.608255 | − | 0.395306i | ||||
\(799\) | 7.55758e22 | 0.454997 | ||||||||
\(800\) | 9.64676e22 | + | 1.67087e23i | 0.574992 | + | 0.995915i | ||||
\(801\) | 2.11858e22 | + | 1.22316e22i | 0.125022 | + | 0.0721813i | ||||
\(802\) | 2.41111e22 | − | 4.17617e22i | 0.140871 | − | 0.243996i | ||||
\(803\) | −4.58350e22 | + | 2.64629e22i | −0.265139 | + | 0.153078i | ||||
\(804\) | 3.12298e23i | 1.78863i | ||||||||
\(805\) | −1.82957e22 | + | 3.59382e22i | −0.103749 | + | 0.203793i | ||||
\(806\) | −3.83104e23 | −2.15098 | ||||||||
\(807\) | 3.90497e22 | + | 6.76360e22i | 0.217085 | + | 0.376002i | ||||
\(808\) | 7.83932e21 | + | 4.52603e21i | 0.0431507 | + | 0.0249130i | ||||
\(809\) | 5.02117e22 | − | 8.69691e22i | 0.273663 | − | 0.473999i | −0.696134 | − | 0.717912i | \(-0.745098\pi\) |
0.969797 | + | 0.243914i | \(0.0784313\pi\) | |||||||
\(810\) | 8.78669e22 | − | 5.07300e22i | 0.474182 | − | 0.273769i | ||||
\(811\) | − | 2.42289e23i | − | 1.29469i | −0.762196 | − | 0.647346i | \(-0.775879\pi\) | ||
0.762196 | − | 0.647346i | \(-0.224121\pi\) | |||||||
\(812\) | −2.35884e23 | − | 1.20086e23i | −1.24810 | − | 0.635396i | ||||
\(813\) | −2.92374e23 | −1.53184 | ||||||||
\(814\) | −3.84736e22 | − | 6.66383e22i | −0.199603 | − | 0.345723i | ||||
\(815\) | −1.07984e23 | − | 6.23447e22i | −0.554752 | − | 0.320286i | ||||
\(816\) | 7.24075e22 | − | 1.25413e23i | 0.368351 | − | 0.638003i | ||||
\(817\) | 5.37666e22 | − | 3.10422e22i | 0.270855 | − | 0.156378i | ||||
\(818\) | − | 3.70808e23i | − | 1.84979i | ||||||
\(819\) | −1.55155e22 | − | 2.38736e22i | −0.0766467 | − | 0.117936i | ||||
\(820\) | −1.09152e23 | −0.533973 | ||||||||
\(821\) | 1.01922e23 | + | 1.76534e23i | 0.493768 | + | 0.855232i | 0.999974 | − | 0.00718089i | \(-0.00228577\pi\) |
−0.506206 | + | 0.862413i | \(0.668952\pi\) | |||||||
\(822\) | 1.54331e23 | + | 8.91029e22i | 0.740419 | + | 0.427481i | ||||
\(823\) | 1.83583e22 | − | 3.17976e22i | 0.0872238 | − | 0.151076i | −0.819113 | − | 0.573632i | \(-0.805534\pi\) |
0.906337 | + | 0.422556i | \(0.138867\pi\) | |||||||
\(824\) | 8.72831e21 | − | 5.03929e21i | 0.0410688 | − | 0.0237111i | ||||
\(825\) | − | 3.26259e22i | − | 0.152031i | ||||||
\(826\) | 4.28652e23 | − | 2.26138e22i | 1.97817 | − | 0.104360i | ||||
\(827\) | −4.55274e22 | −0.208079 | −0.104040 | − | 0.994573i | \(-0.533177\pi\) | ||||
−0.104040 | + | 0.994573i | \(0.533177\pi\) | |||||||
\(828\) | −7.04443e21 | − | 1.22013e22i | −0.0318862 | − | 0.0552286i | ||||
\(829\) | −1.20625e23 | − | 6.96429e22i | −0.540756 | − | 0.312205i | 0.204630 | − | 0.978839i | \(-0.434401\pi\) |
−0.745385 | + | 0.666634i | \(0.767734\pi\) | |||||||
\(830\) | −6.12938e20 | + | 1.06164e21i | −0.00272140 | + | 0.00471360i | ||||
\(831\) | 1.79222e23 | − | 1.03474e23i | 0.788104 | − | 0.455012i | ||||
\(832\) | 2.99081e23i | 1.30257i | ||||||||
\(833\) | −1.74432e23 | − | 7.75170e22i | −0.752428 | − | 0.334377i | ||||
\(834\) | −6.44016e22 | −0.275149 | ||||||||
\(835\) | −3.29713e21 | − | 5.71080e21i | −0.0139523 | − | 0.0241660i | ||||
\(836\) | −2.34284e22 | − | 1.35264e22i | −0.0981956 | − | 0.0566932i | ||||
\(837\) | −1.58950e23 | + | 2.75310e23i | −0.659869 | + | 1.14293i | ||||
\(838\) | 4.21937e23 | − | 2.43605e23i | 1.73498 | − | 1.00169i | ||||
\(839\) | 3.91887e23i | 1.59612i | 0.602579 | + | 0.798059i | \(0.294140\pi\) | ||||
−0.602579 | + | 0.798059i | \(0.705860\pi\) | |||||||
\(840\) | 3.51565e20 | + | 6.66402e21i | 0.00141831 | + | 0.0268845i | ||||
\(841\) | 1.98846e23 | 0.794601 | ||||||||
\(842\) | 9.00334e22 | + | 1.55942e23i | 0.356375 | + | 0.617259i | ||||
\(843\) | 1.43012e23 | + | 8.25679e22i | 0.560727 | + | 0.323736i | ||||
\(844\) | −9.20254e22 | + | 1.59393e23i | −0.357411 | + | 0.619054i | ||||
\(845\) | 4.27924e22 | − | 2.47062e22i | 0.164632 | − | 0.0950501i | ||||
\(846\) | 2.43811e22i | 0.0929158i | ||||||||
\(847\) | −2.13145e23 | + | 1.38523e23i | −0.804653 | + | 0.522945i | ||||
\(848\) | −4.73603e23 | −1.77112 | ||||||||
\(849\) | −1.94172e23 | − | 3.36315e23i | −0.719323 | − | 1.24590i | ||||
\(850\) | 2.23910e23 | + | 1.29274e23i | 0.821716 | + | 0.474418i | ||||
\(851\) | 9.91631e22 | − | 1.71755e23i | 0.360507 | − | 0.624416i | ||||
\(852\) | 2.26329e23 | − | 1.30671e23i | 0.815122 | − | 0.470611i | ||||
\(853\) | − | 1.94066e23i | − | 0.692402i | −0.938160 | − | 0.346201i | \(-0.887472\pi\) | ||
0.938160 | − | 0.346201i | \(-0.112528\pi\) | |||||||
\(854\) | −8.24360e22 | + | 1.61929e23i | −0.291376 | + | 0.572349i | ||||
\(855\) | −7.99031e21 | −0.0279792 | ||||||||
\(856\) | 1.06706e21 | + | 1.84821e21i | 0.00370170 | + | 0.00641153i | ||||
\(857\) | −1.04126e22 | − | 6.01169e21i | −0.0357858 | − | 0.0206609i | 0.482000 | − | 0.876171i | \(-0.339910\pi\) |
−0.517786 | + | 0.855510i | \(0.673244\pi\) | |||||||
\(858\) | 4.74098e22 | − | 8.21162e22i | 0.161425 | − | 0.279596i | ||||
\(859\) | −9.26687e22 | + | 5.35023e22i | −0.312599 | + | 0.180479i | −0.648089 | − | 0.761565i | \(-0.724431\pi\) |
0.335490 | + | 0.942044i | \(0.391098\pi\) | |||||||
\(860\) | 7.98620e22i | 0.266903i | ||||||||
\(861\) | −2.92981e23 | − | 1.49154e23i | −0.970097 | − | 0.493865i | ||||
\(862\) | 6.65049e23 | 2.18170 | ||||||||
\(863\) | −9.29800e22 | − | 1.61046e23i | −0.302206 | − | 0.523436i | 0.674429 | − | 0.738339i | \(-0.264390\pi\) |
−0.976635 | + | 0.214903i | \(0.931056\pi\) | |||||||
\(864\) | 4.02951e23 | + | 2.32644e23i | 1.29760 | + | 0.749173i | ||||
\(865\) | −3.82248e22 | + | 6.62072e22i | −0.121960 | + | 0.211240i | ||||
\(866\) | 3.40237e23 | − | 1.96436e23i | 1.07557 | − | 0.620980i | ||||
\(867\) | 9.65847e22i | 0.302521i | ||||||||
\(868\) | −2.30771e23 | − | 3.55086e23i | −0.716181 | − | 1.10199i | ||||
\(869\) | 5.93544e22 | 0.182513 | ||||||||
\(870\) | −1.30178e23 | − | 2.25475e23i | −0.396628 | − | 0.686981i | ||||
\(871\) | 6.25047e23 | + | 3.60871e23i | 1.88698 | + | 1.08945i | ||||
\(872\) | −5.27326e20 | + | 9.13355e20i | −0.00157742 | + | 0.00273217i | ||||
\(873\) | −2.97349e22 | + | 1.71675e22i | −0.0881359 | + | 0.0508853i | ||||
\(874\) | − | 1.36421e23i | − | 0.400672i | ||||||
\(875\) | 2.73092e23 | − | 1.44071e22i | 0.794776 | − | 0.0419289i | ||||
\(876\) | −5.19074e23 | −1.49691 | ||||||||
\(877\) | −1.62759e23 | − | 2.81906e23i | −0.465101 | − | 0.805579i | 0.534105 | − | 0.845418i | \(-0.320649\pi\) |
−0.999206 | + | 0.0398394i | \(0.987315\pi\) | |||||||
\(878\) | −7.81616e23 | − | 4.51266e23i | −2.21329 | − | 1.27784i | ||||
\(879\) | −1.36681e23 | + | 2.36738e23i | −0.383527 | + | 0.664289i | ||||
\(880\) | −2.62622e22 | + | 1.51625e22i | −0.0730248 | + | 0.0421609i | ||||
\(881\) | − | 2.40638e23i | − | 0.663065i | −0.943444 | − | 0.331533i | \(-0.892434\pi\) | ||
0.943444 | − | 0.331533i | \(-0.107566\pi\) | |||||||
\(882\) | 2.50073e22 | − | 5.62723e22i | 0.0682838 | − | 0.153655i | ||||
\(883\) | 2.22650e22 | 0.0602472 | 0.0301236 | − | 0.999546i | \(-0.490410\pi\) | ||||
0.0301236 | + | 0.999546i | \(0.490410\pi\) | |||||||
\(884\) | 1.92028e23 | + | 3.32603e23i | 0.514929 | + | 0.891883i | ||||
\(885\) | 1.86889e23 | + | 1.07900e23i | 0.496634 | + | 0.286732i | ||||
\(886\) | −3.24718e23 | + | 5.62428e23i | −0.855139 | + | 1.48114i | ||||
\(887\) | 1.72883e23 | − | 9.98143e22i | 0.451195 | − | 0.260498i | −0.257140 | − | 0.966374i | \(-0.582780\pi\) |
0.708335 | + | 0.705877i | \(0.249447\pi\) | |||||||
\(888\) | − | 3.28187e22i | − | 0.0848825i | ||||||
\(889\) | −9.55151e21 | − | 1.81052e23i | −0.0244826 | − | 0.464076i | ||||
\(890\) | −3.04704e23 | −0.774030 | ||||||||
\(891\) | −3.46508e22 | − | 6.00169e22i | −0.0872352 | − | 0.151096i | ||||
\(892\) | −3.86735e23 | − | 2.23282e23i | −0.964928 | − | 0.557102i | ||||
\(893\) | −6.03316e22 | + | 1.04497e23i | −0.149188 | + | 0.258401i | ||||
\(894\) | −9.27797e23 | + | 5.35664e23i | −2.27380 | + | 1.31278i | ||||
\(895\) | 1.21731e23i | 0.295676i | ||||||||
\(896\) | −4.52491e22 | + | 2.94074e22i | −0.108930 | + | 0.0707935i | ||||
\(897\) | 2.44391e23 | 0.583103 | ||||||||
\(898\) | 9.01975e22 | + | 1.56227e23i | 0.213297 | + | 0.369440i | ||||
\(899\) | 6.22250e23 | + | 3.59256e23i | 1.45844 | + | 0.842029i | ||||
\(900\) | −2.13157e22 | + | 3.69199e22i | −0.0495176 | + | 0.0857670i | ||||
\(901\) | −5.75873e23 | + | 3.32481e23i | −1.32595 | + | 0.765540i | ||||
\(902\) | 1.45868e23i | 0.332896i | ||||||||
\(903\) | −1.09130e23 | + | 2.14363e23i | −0.246855 | + | 0.484896i | ||||
\(904\) | 7.29795e21 | 0.0163626 | ||||||||
\(905\) | 8.74187e22 | + | 1.51414e23i | 0.194275 | + | 0.336493i | ||||
\(906\) | −2.03108e23 | − | 1.17264e23i | −0.447405 | − | 0.258309i | ||||
\(907\) | −2.58992e21 | + | 4.48587e21i | −0.00565493 | + | 0.00979463i | −0.868839 | − | 0.495095i | \(-0.835133\pi\) |
0.863184 | + | 0.504889i | \(0.168467\pi\) | |||||||
\(908\) | 6.86513e23 | − | 3.96358e23i | 1.48581 | − | 0.857830i | ||||
\(909\) | − | 4.19935e22i | − | 0.0900889i | ||||||
\(910\) | 3.16042e23 | + | 1.60893e23i | 0.672069 | + | 0.342142i | ||||
\(911\) | 2.40243e23 | 0.506411 | 0.253205 | − | 0.967413i | \(-0.418515\pi\) | ||||
0.253205 | + | 0.967413i | \(0.418515\pi\) | |||||||
\(912\) | 1.15605e23 | + | 2.00233e23i | 0.241555 | + | 0.418386i | ||||
\(913\) | 7.25146e20 | + | 4.18663e20i | 0.00150196 | + | 0.000867159i | ||||
\(914\) | 9.63320e22 | − | 1.66852e23i | 0.197789 | − | 0.342580i | ||||
\(915\) | −7.91116e22 | + | 4.56751e22i | −0.161017 | + | 0.0929632i | ||||
\(916\) | − | 3.79193e23i | − | 0.765062i | ||||||
\(917\) | −1.38169e23 | − | 2.12599e23i | −0.276347 | − | 0.425214i | ||||
\(918\) | 6.23523e23 | 1.23626 | ||||||||
\(919\) | −2.74378e23 | − | 4.75236e23i | −0.539293 | − | 0.934083i | −0.998942 | − | 0.0459828i | \(-0.985358\pi\) |
0.459649 | − | 0.888101i | \(-0.347975\pi\) | |||||||
\(920\) | 6.60900e21 | + | 3.81571e21i | 0.0128776 | + | 0.00743486i | ||||
\(921\) | 3.60519e23 | − | 6.24437e23i | 0.696387 | − | 1.20618i | ||||
\(922\) | −6.13134e23 | + | 3.53993e23i | −1.17411 | + | 0.677872i | ||||
\(923\) | − | 6.03979e23i | − | 1.14659i | ||||||
\(924\) | 1.04669e23 | − | 5.52189e21i | 0.196989 | − | 0.0103923i | ||||
\(925\) | −6.00114e23 | −1.11970 | ||||||||
\(926\) | 6.28691e23 | + | 1.08893e24i | 1.16292 | + | 2.01424i | ||||
\(927\) | −4.04916e22 | − | 2.33778e22i | −0.0742552 | − | 0.0428712i | ||||
\(928\) | 5.25818e23 | − | 9.10743e23i | 0.955986 | − | 1.65582i | ||||
\(929\) | 4.72457e23 | − | 2.72773e23i | 0.851602 | − | 0.491672i | −0.00958933 | − | 0.999954i | \(-0.503052\pi\) |
0.861191 | + | 0.508282i | \(0.169719\pi\) | |||||||
\(930\) | − | 4.16549e23i | − | 0.744394i | ||||||
\(931\) | 2.46429e23 | − | 1.79302e23i | 0.436610 | − | 0.317679i | ||||
\(932\) | 4.32799e23 | 0.760254 | ||||||||
\(933\) | −1.32264e23 | − | 2.29088e23i | −0.230350 | − | 0.398978i | ||||
\(934\) | −5.82122e23 | − | 3.36088e23i | −1.00517 | − | 0.580334i | ||||
\(935\) | −2.12889e22 | + | 3.68734e22i | −0.0364469 | + | 0.0631278i | ||||
\(936\) | −4.66618e21 | + | 2.69402e21i | −0.00792054 | + | 0.00457293i | ||||
\(937\) | 1.82039e23i | 0.306371i | 0.988197 | + | 0.153186i | \(0.0489532\pi\) | ||||
−0.988197 | + | 0.153186i | \(0.951047\pi\) | |||||||
\(938\) | 8.22346e22 | + | 1.55878e24i | 0.137225 | + | 2.60113i | ||||
\(939\) | 5.08630e23 | 0.841544 | ||||||||
\(940\) | −7.76074e22 | − | 1.34420e23i | −0.127315 | − | 0.220516i | ||||
\(941\) | −1.03404e24 | − | 5.97006e23i | −1.68198 | − | 0.971094i | −0.960340 | − | 0.278831i | \(-0.910053\pi\) |
−0.721645 | − | 0.692264i | \(-0.756614\pi\) | |||||||
\(942\) | 6.03260e23 | − | 1.04488e24i | 0.972966 | − | 1.68523i | ||||
\(943\) | −3.25596e23 | + | 1.87983e23i | −0.520697 | + | 0.300625i | ||||
\(944\) | 8.31952e23i | 1.31924i | ||||||||
\(945\) | 2.46749e23 | − | 1.60362e23i | 0.387973 | − | 0.252144i | ||||
\(946\) | 1.06726e23 | 0.166396 | ||||||||
\(947\) | 4.40693e21 | + | 7.63303e21i | 0.00681297 | + | 0.0118004i | 0.869412 | − | 0.494088i | \(-0.164498\pi\) |
−0.862599 | + | 0.505889i | \(0.831165\pi\) | |||||||
\(948\) | 5.04134e23 | + | 2.91062e23i | 0.772822 | + | 0.446189i | ||||
\(949\) | −5.99808e23 | + | 1.03890e24i | −0.911765 | + | 1.57922i | ||||
\(950\) | −3.57491e23 | + | 2.06398e23i | −0.538861 | + | 0.311111i | ||||
\(951\) | − | 2.91338e23i | − | 0.435465i | ||||||
\(952\) | −1.63877e22 | + | 3.21903e22i | −0.0242898 | + | 0.0477123i | ||||
\(953\) | 7.93626e23 | 1.16647 | 0.583234 | − | 0.812304i | \(-0.301787\pi\) | ||||
0.583234 | + | 0.812304i | \(0.301787\pi\) | |||||||
\(954\) | −1.07260e23 | − | 1.85779e23i | −0.156332 | − | 0.270776i | ||||
\(955\) | −1.49536e23 | − | 8.63347e22i | −0.216132 | − | 0.124784i | ||||
\(956\) | −2.64476e23 | + | 4.58085e23i | −0.379073 | + | 0.656573i | ||||
\(957\) | −1.54009e23 | + | 8.89174e22i | −0.218903 | + | 0.126384i | ||||
\(958\) | 5.55365e23i | 0.782806i | ||||||||
\(959\) | 4.05711e23 | + | 2.06543e23i | 0.567111 | + | 0.288710i | ||||
\(960\) | −3.25192e23 | −0.450785 | ||||||||
\(961\) | 2.11070e23 | + | 3.65584e23i | 0.290162 | + | 0.502575i | ||||
\(962\) | −1.51043e24 | − | 8.72045e23i | −2.05920 | − | 1.18888i | ||||
\(963\) | 4.95023e21 | − | 8.57405e21i | 0.00669291 | − | 0.0115925i | ||||
\(964\) | 3.98398e23 | − | 2.30015e23i | 0.534197 | − | 0.308419i | ||||
\(965\) | − | 2.11938e23i | − | 0.281832i | ||||||
\(966\) | 2.88027e23 | + | 4.43185e23i | 0.379853 | + | 0.584478i | ||||
\(967\) | −9.52331e23 | −1.24559 | −0.622796 | − | 0.782384i | \(-0.714003\pi\) | ||||
−0.622796 | + | 0.782384i | \(0.714003\pi\) | |||||||
\(968\) | 2.40525e22 | + | 4.16601e22i | 0.0312001 | + | 0.0540402i | ||||
\(969\) | 2.81137e23 | + | 1.62315e23i | 0.361683 | + | 0.208818i | ||||
\(970\) | 2.13830e23 | − | 3.70365e23i | 0.272832 | − | 0.472559i | ||||
\(971\) | −2.65188e23 | + | 1.53106e23i | −0.335583 | + | 0.193749i | −0.658317 | − | 0.752741i | \(-0.728731\pi\) |
0.322734 | + | 0.946490i | \(0.395398\pi\) | |||||||
\(972\) | 1.94807e23i | 0.244497i | ||||||||
\(973\) | −1.64297e23 | + | 8.66762e21i | −0.204516 | + | 0.0107894i | ||||
\(974\) | 1.04869e24 | 1.29472 | ||||||||
\(975\) | −3.69751e23 | − | 6.40427e23i | −0.452764 | − | 0.784210i | ||||
\(976\) | −3.04991e23 | − | 1.76086e23i | −0.370415 | − | 0.213859i | ||||
\(977\) | −4.87141e23 | + | 8.43752e23i | −0.586811 | + | 1.01639i | 0.407837 | + | 0.913055i | \(0.366283\pi\) |
−0.994647 | + | 0.103331i | \(0.967050\pi\) | |||||||
\(978\) | −1.41532e24 | + | 8.17133e23i | −1.69100 | + | 0.976297i | ||||
\(979\) | 2.08126e23i | 0.246641i | ||||||||
\(980\) | 4.12480e22 | + | 3.89847e23i | 0.0484835 | + | 0.458232i | ||||
\(981\) | 4.89264e21 | 0.00570415 | ||||||||
\(982\) | −9.29411e23 | − | 1.60979e24i | −1.07477 | − | 1.86156i | ||||
\(983\) | 8.07662e23 | + | 4.66304e23i | 0.926406 | + | 0.534861i | 0.885673 | − | 0.464309i | \(-0.153697\pi\) |
0.0407328 | + | 0.999170i | \(0.487031\pi\) | |||||||
\(984\) | −3.11071e22 | + | 5.38791e22i | −0.0353915 | + | 0.0612999i | ||||
\(985\) | 5.25643e23 | − | 3.03480e23i | 0.593200 | − | 0.342484i | ||||
\(986\) | − | 1.40928e24i | − | 1.57754i | ||||||
\(987\) | −2.46292e22 | − | 4.66855e23i | −0.0273473 | − | 0.518376i | ||||
\(988\) | −6.13179e23 | −0.675354 | ||||||||
\(989\) | 1.37540e23 | + | 2.38226e23i | 0.150265 | + | 0.260267i | ||||
\(990\) | −1.18955e22 | − | 6.86788e21i | −0.0128915 | − | 0.00744288i | ||||
\(991\) | −4.69032e23 | + | 8.12387e23i | −0.504212 | + | 0.873320i | 0.495777 | + | 0.868450i | \(0.334884\pi\) |
−0.999988 | + | 0.00487000i | \(0.998450\pi\) | |||||||
\(992\) | 1.45712e24 | − | 8.41267e23i | 1.55382 | − | 0.897099i | ||||
\(993\) | 1.36092e22i | 0.0143959i | ||||||||
\(994\) | 1.09527e24 | − | 7.11819e23i | 1.14929 | − | 0.746927i | ||||
\(995\) | −6.41856e23 | −0.668117 | ||||||||
\(996\) | 4.10608e21 | + | 7.11194e21i | 0.00423987 | + | 0.00734367i | ||||
\(997\) | 1.05680e24 | + | 6.10142e23i | 1.08251 | + | 0.624986i | 0.931572 | − | 0.363558i | \(-0.118438\pi\) |
0.150935 | + | 0.988544i | \(0.451772\pi\) | |||||||
\(998\) | 2.79793e23 | − | 4.84616e23i | 0.284311 | − | 0.492440i | ||||
\(999\) | −1.25336e24 | + | 7.23626e23i | −1.26343 | + | 0.729441i |
(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 | 7.17.d.a.3.2 | ✓ | 20 | |
7.3 | odd | 6 | 49.17.b.a.48.17 | 20 | |||
7.4 | even | 3 | 49.17.b.a.48.18 | 20 | |||
7.5 | odd | 6 | inner | 7.17.d.a.5.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.17.d.a.3.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
7.17.d.a.5.2 | yes | 20 | 7.5 | odd | 6 | inner | |
49.17.b.a.48.17 | 20 | 7.3 | odd | 6 | |||
49.17.b.a.48.18 | 20 | 7.4 | even | 3 |