Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,33,Mod(2,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 33, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.2");
S:= CuspForms(chi, 33);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 33 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.h (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: | \(136.219975799\) |
Analytic rank: | \(0\) |
Dimension: | \(164\) |
Relative dimension: | \(82\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 21.2 |
Dual form | 21.33.h.b.11.8 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −95187.3 | − | 54956.4i | −1.45244 | − | 0.838569i | −0.453824 | − | 0.891091i | \(-0.649941\pi\) |
−0.998620 | + | 0.0525226i | \(0.983274\pi\) | |||||||
\(3\) | −6.01559e6 | + | 4.26243e7i | −0.139745 | + | 0.990187i | ||||
\(4\) | 3.89294e9 | + | 6.74277e9i | 0.906395 | + | 1.56992i | ||||
\(5\) | 9.27499e10 | + | 5.35492e10i | 0.607846 | + | 0.350940i | 0.772122 | − | 0.635474i | \(-0.219195\pi\) |
−0.164276 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(6\) | 2.91509e12 | − | 3.72670e12i | 1.03331 | − | 1.32101i | ||||
\(7\) | 3.32287e13 | − | 5.30154e11i | 0.999873 | − | 0.0159527i | ||||
\(8\) | − | 3.83696e14i | − | 1.36316i | ||||||
\(9\) | −1.78065e15 | − | 5.12821e14i | −0.960942 | − | 0.276748i | ||||
\(10\) | −5.88575e15 | − | 1.01944e16i | −0.588575 | − | 1.01944i | ||||
\(11\) | −6.71155e16 | + | 3.87492e16i | −1.46063 | + | 0.843295i | −0.999040 | − | 0.0437990i | \(-0.986054\pi\) |
−0.461589 | + | 0.887094i | \(0.652721\pi\) | |||||||
\(12\) | −3.10824e17 | + | 1.25372e17i | −1.68118 | + | 0.678111i | ||||
\(13\) | −4.02763e17 | −0.605280 | −0.302640 | − | 0.953105i | \(-0.597868\pi\) | ||||
−0.302640 | + | 0.953105i | \(0.597868\pi\) | |||||||
\(14\) | −3.19209e18 | − | 1.77567e18i | −1.46564 | − | 0.815292i | ||||
\(15\) | −2.84044e18 | + | 3.63127e18i | −0.432440 | + | 0.552839i | ||||
\(16\) | −4.36651e18 | + | 7.56302e18i | −0.236709 | + | 0.409992i | ||||
\(17\) | −2.29470e19 | + | 1.32485e19i | −0.471568 | + | 0.272260i | −0.716896 | − | 0.697180i | \(-0.754438\pi\) |
0.245328 | + | 0.969440i | \(0.421104\pi\) | |||||||
\(18\) | 1.41312e20 | + | 1.46672e20i | 1.16364 | + | 1.20778i | ||||
\(19\) | −8.35516e18 | + | 1.44716e19i | −0.0289666 | + | 0.0501716i | −0.880145 | − | 0.474704i | \(-0.842555\pi\) |
0.851179 | + | 0.524876i | \(0.175888\pi\) | |||||||
\(20\) | 8.33855e20i | 1.27236i | ||||||||
\(21\) | −1.77293e20 | + | 1.41954e21i | −0.123932 | + | 0.992291i | ||||
\(22\) | 8.51807e21 | 2.82864 | ||||||||
\(23\) | −6.01734e21 | − | 3.47411e21i | −0.981203 | − | 0.566498i | −0.0785701 | − | 0.996909i | \(-0.525035\pi\) |
−0.902633 | + | 0.430411i | \(0.858369\pi\) | |||||||
\(24\) | 1.63548e22 | + | 2.30815e21i | 1.34978 | + | 0.190496i | ||||
\(25\) | −5.90650e21 | − | 1.02304e22i | −0.253682 | − | 0.439391i | ||||
\(26\) | 3.83379e22 | + | 2.21344e22i | 0.879134 | + | 0.507569i | ||||
\(27\) | 3.25703e22 | − | 7.28139e22i | 0.408320 | − | 0.912839i | ||||
\(28\) | 1.32932e23 | + | 2.21989e23i | 0.931324 | + | 1.55526i | ||||
\(29\) | 6.50276e22i | 0.259854i | 0.991524 | + | 0.129927i | \(0.0414743\pi\) | ||||
−0.991524 | + | 0.129927i | \(0.958526\pi\) | |||||||
\(30\) | 4.69936e23 | − | 1.89551e23i | 1.09169 | − | 0.440337i | ||||
\(31\) | −2.72080e23 | − | 4.71256e23i | −0.374032 | − | 0.647843i | 0.616149 | − | 0.787629i | \(-0.288692\pi\) |
−0.990182 | + | 0.139786i | \(0.955358\pi\) | |||||||
\(32\) | −5.95902e23 | + | 3.44044e23i | −0.492919 | + | 0.284587i | ||||
\(33\) | −1.24792e24 | − | 3.09385e24i | −0.630904 | − | 1.56414i | ||||
\(34\) | 2.91236e24 | 0.913234 | ||||||||
\(35\) | 3.11035e24 | + | 1.73020e24i | 0.613367 | + | 0.341199i | ||||
\(36\) | −3.47411e24 | − | 1.40029e25i | −0.436520 | − | 1.75945i | ||||
\(37\) | 4.65526e24 | − | 8.06315e24i | 0.377326 | − | 0.653548i | −0.613346 | − | 0.789814i | \(-0.710177\pi\) |
0.990672 | + | 0.136267i | \(0.0435103\pi\) | |||||||
\(38\) | 1.59061e24 | − | 9.18340e23i | 0.0841447 | − | 0.0485810i | ||||
\(39\) | 2.42286e24 | − | 1.71675e25i | 0.0845851 | − | 0.599340i | ||||
\(40\) | 2.05466e25 | − | 3.55877e25i | 0.478388 | − | 0.828592i | ||||
\(41\) | − | 3.01193e25i | − | 0.472393i | −0.971705 | − | 0.236196i | \(-0.924099\pi\) | ||
0.971705 | − | 0.236196i | \(-0.0759008\pi\) | |||||||
\(42\) | 9.48889e25 | − | 1.25379e26i | 1.01211 | − | 1.33732i | ||||
\(43\) | 1.76543e26 | 1.29228 | 0.646139 | − | 0.763220i | \(-0.276383\pi\) | ||||
0.646139 | + | 0.763220i | \(0.276383\pi\) | |||||||
\(44\) | −5.22553e26 | − | 3.01696e26i | −2.64781 | − | 1.52872i | ||||
\(45\) | −1.37694e26 | − | 1.42916e26i | −0.486983 | − | 0.505454i | ||||
\(46\) | 3.81850e26 | + | 6.61383e26i | 0.950095 | + | 1.64561i | ||||
\(47\) | 4.45623e25 | + | 2.57281e25i | 0.0785963 | + | 0.0453776i | 0.538783 | − | 0.842445i | \(-0.318884\pi\) |
−0.460187 | + | 0.887822i | \(0.652218\pi\) | |||||||
\(48\) | −2.96101e26 | − | 2.31616e26i | −0.372890 | − | 0.291681i | ||||
\(49\) | 1.10387e27 | − | 3.52327e25i | 0.999491 | − | 0.0319013i | ||||
\(50\) | 1.29840e27i | 0.850920i | ||||||||
\(51\) | −4.26668e26 | − | 1.05780e27i | −0.203689 | − | 0.504988i | ||||
\(52\) | −1.56793e27 | − | 2.71574e27i | −0.548622 | − | 0.950242i | ||||
\(53\) | 2.11952e27 | − | 1.22371e27i | 0.546795 | − | 0.315692i | −0.201033 | − | 0.979584i | \(-0.564430\pi\) |
0.747828 | + | 0.663892i | \(0.231097\pi\) | |||||||
\(54\) | −7.10187e27 | + | 5.14102e27i | −1.35854 | + | 0.983442i | ||||
\(55\) | −8.29995e27 | −1.18378 | ||||||||
\(56\) | −2.03418e26 | − | 1.27497e28i | −0.0217461 | − | 1.36299i | ||||
\(57\) | −5.66580e26 | − | 4.43188e26i | −0.0456313 | − | 0.0356936i | ||||
\(58\) | 3.57369e27 | − | 6.18981e27i | 0.217906 | − | 0.377424i | ||||
\(59\) | 2.20062e28 | − | 1.27053e28i | 1.02073 | − | 0.589321i | 0.106418 | − | 0.994322i | \(-0.466062\pi\) |
0.914317 | + | 0.405000i | \(0.132729\pi\) | |||||||
\(60\) | −3.55425e28 | − | 5.01612e27i | −1.25988 | − | 0.177807i | ||||
\(61\) | −2.70785e28 | + | 4.69013e28i | −0.736796 | + | 1.27617i | 0.217135 | + | 0.976142i | \(0.430329\pi\) |
−0.953931 | + | 0.300027i | \(0.903004\pi\) | |||||||
\(62\) | 5.98102e28i | 1.25461i | ||||||||
\(63\) | −5.94404e28 | − | 1.60963e28i | −0.965235 | − | 0.261384i | ||||
\(64\) | 1.13138e29 | 1.42800 | ||||||||
\(65\) | −3.73562e28 | − | 2.15676e28i | −0.367917 | − | 0.212417i | ||||
\(66\) | −5.12412e28 | + | 3.63077e29i | −0.395290 | + | 2.80089i | ||||
\(67\) | −2.65256e28 | − | 4.59437e28i | −0.160867 | − | 0.278631i | 0.774313 | − | 0.632803i | \(-0.218096\pi\) |
−0.935180 | + | 0.354173i | \(0.884762\pi\) | |||||||
\(68\) | −1.78663e29 | − | 1.03151e29i | −0.854853 | − | 0.493550i | ||||
\(69\) | 1.84279e29 | − | 2.35586e29i | 0.698058 | − | 0.892410i | ||||
\(70\) | −2.00980e29 | − | 3.35627e29i | −0.604763 | − | 1.00992i | ||||
\(71\) | − | 5.86707e29i | − | 1.40698i | −0.710706 | − | 0.703489i | \(-0.751624\pi\) | ||
0.710706 | − | 0.703489i | \(-0.248376\pi\) | |||||||
\(72\) | −1.96767e29 | + | 6.83226e29i | −0.377253 | + | 1.30992i | ||||
\(73\) | 2.81026e29 | + | 4.86752e29i | 0.432097 | + | 0.748414i | 0.997054 | − | 0.0767067i | \(-0.0244405\pi\) |
−0.564957 | + | 0.825120i | \(0.691107\pi\) | |||||||
\(74\) | −8.86244e29 | + | 5.11673e29i | −1.09609 | + | 0.632827i | ||||
\(75\) | 4.71593e29 | − | 1.90219e29i | 0.470530 | − | 0.189790i | ||||
\(76\) | −1.30105e29 | −0.105021 | ||||||||
\(77\) | −2.20962e30 | + | 1.32317e30i | −1.44699 | + | 0.866489i | ||||
\(78\) | −1.17409e30 | + | 1.50098e30i | −0.625443 | + | 0.799577i | ||||
\(79\) | −1.28330e30 | + | 2.22273e30i | −0.557562 | + | 0.965726i | 0.440137 | + | 0.897930i | \(0.354930\pi\) |
−0.997699 | + | 0.0677951i | \(0.978404\pi\) | |||||||
\(80\) | −8.09987e29 | + | 4.67646e29i | −0.287765 | + | 0.166141i | ||||
\(81\) | 2.90771e30 | + | 1.82630e30i | 0.846821 | + | 0.531879i | ||||
\(82\) | −1.65525e30 | + | 2.86698e30i | −0.396134 | + | 0.686124i | ||||
\(83\) | 7.99209e30i | 1.57547i | 0.616013 | + | 0.787736i | \(0.288747\pi\) | ||||
−0.616013 | + | 0.787736i | \(0.711253\pi\) | |||||||
\(84\) | −1.02618e31 | + | 4.33074e30i | −1.67015 | + | 0.704845i | ||||
\(85\) | −2.83778e30 | −0.382187 | ||||||||
\(86\) | −1.68047e31 | − | 9.70219e30i | −1.87696 | − | 1.08366i | ||||
\(87\) | −2.77176e30 | − | 3.91179e29i | −0.257304 | − | 0.0363135i | ||||
\(88\) | 1.48679e31 | + | 2.57519e31i | 1.14955 | + | 1.99107i | ||||
\(89\) | −1.68342e31 | − | 9.71923e30i | −1.08631 | − | 0.627180i | −0.153716 | − | 0.988115i | \(-0.549124\pi\) |
−0.932591 | + | 0.360936i | \(0.882457\pi\) | |||||||
\(90\) | 5.25253e30 | + | 2.11710e31i | 0.283458 | + | 1.14251i | ||||
\(91\) | −1.33833e31 | + | 2.13527e29i | −0.605203 | + | 0.00965583i | ||||
\(92\) | − | 5.40980e31i | − | 2.05388i | ||||||
\(93\) | 2.17237e31 | − | 8.76234e30i | 0.693756 | − | 0.279829i | ||||
\(94\) | −2.82785e30 | − | 4.89798e30i | −0.0761045 | − | 0.131817i | ||||
\(95\) | −1.54988e30 | + | 8.94825e29i | −0.0352144 | + | 0.0203311i | ||||
\(96\) | −1.10800e31 | − | 2.74696e31i | −0.212911 | − | 0.527852i | ||||
\(97\) | −6.43813e31 | −1.04812 | −0.524061 | − | 0.851681i | \(-0.675584\pi\) | ||||
−0.524061 | + | 0.851681i | \(0.675584\pi\) | |||||||
\(98\) | −1.07010e32 | − | 5.73108e31i | −1.47846 | − | 0.791807i | ||||
\(99\) | 1.39380e32 | − | 3.45803e31i | 1.63696 | − | 0.406131i | ||||
\(100\) | 4.59873e31 | − | 7.96523e31i | 0.459873 | − | 0.796523i | ||||
\(101\) | 1.59491e32 | − | 9.20824e31i | 1.36018 | − | 0.785298i | 0.370529 | − | 0.928821i | \(-0.379176\pi\) |
0.989647 | + | 0.143522i | \(0.0458429\pi\) | |||||||
\(102\) | −1.75195e31 | + | 1.24137e32i | −0.127620 | + | 0.904273i | ||||
\(103\) | 9.66886e31 | − | 1.67470e32i | 0.602532 | − | 1.04362i | −0.389905 | − | 0.920855i | \(-0.627492\pi\) |
0.992436 | − | 0.122760i | \(-0.0391746\pi\) | |||||||
\(104\) | 1.54538e32i | 0.825093i | ||||||||
\(105\) | −9.24591e31 | + | 1.22168e32i | −0.423566 | + | 0.559667i | ||||
\(106\) | −2.69003e32 | −1.05892 | ||||||||
\(107\) | 4.57668e32 | + | 2.64235e32i | 1.55028 | + | 0.895055i | 0.998118 | + | 0.0613177i | \(0.0195303\pi\) |
0.552162 | + | 0.833737i | \(0.313803\pi\) | |||||||
\(108\) | 6.17761e32 | − | 6.38464e31i | 1.80319 | − | 0.186362i | ||||
\(109\) | −1.87201e32 | − | 3.24242e32i | −0.471503 | − | 0.816668i | 0.527965 | − | 0.849266i | \(-0.322955\pi\) |
−0.999469 | + | 0.0325982i | \(0.989622\pi\) | |||||||
\(110\) | 7.90050e32 | + | 4.56136e32i | 1.71938 | + | 0.992684i | ||||
\(111\) | 3.15682e32 | + | 2.46932e32i | 0.594405 | + | 0.464954i | ||||
\(112\) | −1.41084e32 | + | 2.53624e32i | −0.230138 | + | 0.413716i | ||||
\(113\) | − | 1.85334e32i | − | 0.262241i | −0.991366 | − | 0.131121i | \(-0.958142\pi\) | ||
0.991366 | − | 0.131121i | \(-0.0418575\pi\) | |||||||
\(114\) | 2.95752e31 | + | 7.33231e31i | 0.0363454 | + | 0.0901080i | ||||
\(115\) | −3.72072e32 | − | 6.44447e32i | −0.397614 | − | 0.688687i | ||||
\(116\) | −4.38466e32 | + | 2.53148e32i | −0.407951 | + | 0.235531i | ||||
\(117\) | 7.17178e32 | + | 2.06545e32i | 0.581639 | + | 0.167510i | ||||
\(118\) | −2.79295e33 | −1.97675 | ||||||||
\(119\) | −7.55477e32 | + | 4.52395e32i | −0.467164 | + | 0.279748i | ||||
\(120\) | 1.39330e33 | + | 1.08987e33i | 0.753609 | + | 0.589485i | ||||
\(121\) | 1.94731e33 | − | 3.37284e33i | 0.922292 | − | 1.59746i | ||||
\(122\) | 5.15506e33 | − | 2.97628e33i | 2.14031 | − | 1.23571i | ||||
\(123\) | 1.28381e33 | + | 1.81185e32i | 0.467757 | + | 0.0660147i | ||||
\(124\) | 2.11838e33 | − | 3.66914e33i | 0.678042 | − | 1.17440i | ||||
\(125\) | − | 3.75873e33i | − | 1.05799i | ||||||
\(126\) | 4.77338e33 | + | 4.79880e33i | 1.18276 | + | 1.18906i | ||||
\(127\) | −4.00863e32 | −0.0875260 | −0.0437630 | − | 0.999042i | \(-0.513935\pi\) | ||||
−0.0437630 | + | 0.999042i | \(0.513935\pi\) | |||||||
\(128\) | −8.20991e33 | − | 4.74000e33i | −1.58117 | − | 0.912890i | ||||
\(129\) | −1.06201e33 | + | 7.52504e33i | −0.180590 | + | 1.27960i | ||||
\(130\) | 2.37056e33 | + | 4.10593e33i | 0.356252 | + | 0.617047i | ||||
\(131\) | −1.31394e33 | − | 7.58606e32i | −0.174677 | − | 0.100850i | 0.410112 | − | 0.912035i | \(-0.365490\pi\) |
−0.584789 | + | 0.811185i | \(0.698823\pi\) | |||||||
\(132\) | 1.60031e34 | − | 2.04586e34i | 1.88374 | − | 2.40820i | ||||
\(133\) | −2.69959e32 | + | 4.85301e32i | −0.0281625 | + | 0.0506273i | ||||
\(134\) | 5.83101e33i | 0.539594i | ||||||||
\(135\) | 6.92001e33 | − | 5.00937e33i | 0.568547 | − | 0.411569i | ||||
\(136\) | 5.08339e33 | + | 8.80468e33i | 0.371134 | + | 0.642823i | ||||
\(137\) | −1.95483e34 | + | 1.12862e34i | −1.26935 | + | 0.732859i | −0.974865 | − | 0.222798i | \(-0.928481\pi\) |
−0.294484 | + | 0.955656i | \(0.595148\pi\) | |||||||
\(138\) | −3.04881e34 | + | 1.22975e34i | −1.76224 | + | 0.710805i | ||||
\(139\) | −3.04812e34 | −1.56962 | −0.784811 | − | 0.619735i | \(-0.787240\pi\) | ||||
−0.784811 | + | 0.619735i | \(0.787240\pi\) | |||||||
\(140\) | 4.42072e32 | + | 2.77079e34i | 0.0202976 | + | 1.27220i | ||||
\(141\) | −1.36471e33 | + | 1.74467e33i | −0.0559158 | + | 0.0714838i | ||||
\(142\) | −3.22433e34 | + | 5.58471e34i | −1.17985 | + | 2.04356i | ||||
\(143\) | 2.70317e34 | − | 1.56067e34i | 0.884089 | − | 0.510429i | ||||
\(144\) | 1.16537e34 | − | 1.12278e34i | 0.340928 | − | 0.328470i | ||||
\(145\) | −3.48218e33 | + | 6.03131e33i | −0.0911933 | + | 0.157951i | ||||
\(146\) | − | 6.17768e34i | − | 1.44937i | ||||||
\(147\) | −5.13863e33 | + | 4.72635e34i | −0.108086 | + | 0.994142i | ||||
\(148\) | 7.24906e34 | 1.36803 | ||||||||
\(149\) | 5.51676e34 | + | 3.18510e34i | 0.934768 | + | 0.539689i | 0.888316 | − | 0.459232i | \(-0.151875\pi\) |
0.0464517 | + | 0.998921i | \(0.485209\pi\) | |||||||
\(150\) | −5.53435e34 | − | 7.81064e33i | −0.842570 | − | 0.118912i | ||||
\(151\) | 4.39506e34 | + | 7.61247e34i | 0.601636 | + | 1.04206i | 0.992573 | + | 0.121647i | \(0.0388175\pi\) |
−0.390938 | + | 0.920417i | \(0.627849\pi\) | |||||||
\(152\) | 5.55268e33 | + | 3.20584e33i | 0.0683920 | + | 0.0394861i | ||||
\(153\) | 4.76547e34 | − | 1.18231e34i | 0.528497 | − | 0.131120i | ||||
\(154\) | 2.83044e35 | − | 4.51589e33i | 2.82828 | − | 0.0451244i | ||||
\(155\) | − | 5.82786e34i | − | 0.525052i | ||||||
\(156\) | 1.25188e35 | − | 5.04953e34i | 1.01759 | − | 0.410447i | ||||
\(157\) | 9.17499e34 | + | 1.58916e35i | 0.673304 | + | 1.16620i | 0.976962 | + | 0.213415i | \(0.0684588\pi\) |
−0.303658 | + | 0.952781i | \(0.598208\pi\) | |||||||
\(158\) | 2.44307e35 | − | 1.41051e35i | 1.61965 | − | 0.935108i | ||||
\(159\) | 3.94096e34 | + | 9.77046e34i | 0.236182 | + | 0.585546i | ||||
\(160\) | −7.36932e34 | −0.399492 | ||||||||
\(161\) | −2.01790e35 | − | 1.12250e35i | −0.990116 | − | 0.550773i | ||||
\(162\) | −1.76410e35 | − | 3.33639e35i | −0.783942 | − | 1.48264i | ||||
\(163\) | 8.38113e34 | − | 1.45165e35i | 0.337521 | − | 0.584604i | −0.646445 | − | 0.762961i | \(-0.723745\pi\) |
0.983966 | + | 0.178357i | \(0.0570782\pi\) | |||||||
\(164\) | 2.03087e35 | − | 1.17253e35i | 0.741620 | − | 0.428174i | ||||
\(165\) | 4.99290e34 | − | 3.53780e35i | 0.165428 | − | 1.17217i | ||||
\(166\) | 4.39217e35 | − | 7.60746e35i | 1.32114 | − | 2.28829i | ||||
\(167\) | − | 1.82900e35i | − | 0.499748i | −0.968278 | − | 0.249874i | \(-0.919611\pi\) | ||
0.968278 | − | 0.249874i | \(-0.0803892\pi\) | |||||||
\(168\) | 5.44671e35 | + | 6.80264e34i | 1.35265 | + | 0.168939i | ||||
\(169\) | −2.80561e35 | −0.633637 | ||||||||
\(170\) | 2.70121e35 | + | 1.55954e35i | 0.555106 | + | 0.320490i | ||||
\(171\) | 2.22989e34 | − | 2.14840e34i | 0.0417201 | − | 0.0401956i | ||||
\(172\) | 6.87272e35 | + | 1.19039e36i | 1.17131 | + | 2.02878i | ||||
\(173\) | 3.88745e35 | + | 2.24442e35i | 0.603848 | + | 0.348632i | 0.770554 | − | 0.637375i | \(-0.219980\pi\) |
−0.166706 | + | 0.986007i | \(0.553313\pi\) | |||||||
\(174\) | 2.42338e35 | + | 1.89561e35i | 0.343269 | + | 0.268511i | ||||
\(175\) | −2.01689e35 | − | 3.36810e35i | −0.260659 | − | 0.435288i | ||||
\(176\) | − | 6.76795e35i | − | 0.798462i | ||||||
\(177\) | 4.09174e35 | + | 1.01443e36i | 0.440895 | + | 1.09307i | ||||
\(178\) | 1.06827e36 | + | 1.85030e36i | 1.05187 | + | 1.82189i | ||||
\(179\) | −3.98413e35 | + | 2.30024e35i | −0.358662 | + | 0.207073i | −0.668494 | − | 0.743718i | \(-0.733061\pi\) |
0.309832 | + | 0.950791i | \(0.399727\pi\) | |||||||
\(180\) | 4.27618e35 | − | 1.48480e36i | 0.352124 | − | 1.22267i | ||||
\(181\) | 1.67024e36 | 1.25870 | 0.629351 | − | 0.777121i | \(-0.283321\pi\) | ||||
0.629351 | + | 0.777121i | \(0.283321\pi\) | |||||||
\(182\) | 1.28565e36 | + | 7.15173e35i | 0.887120 | + | 0.493479i | ||||
\(183\) | −1.83625e36 | − | 1.43634e36i | −1.16068 | − | 0.907905i | ||||
\(184\) | −1.33300e36 | + | 2.30883e36i | −0.772228 | + | 1.33754i | ||||
\(185\) | 8.63550e35 | − | 4.98571e35i | 0.458712 | − | 0.264837i | ||||
\(186\) | −2.54937e36 | − | 3.59793e35i | −1.24230 | − | 0.175326i | ||||
\(187\) | 1.02674e36 | − | 1.77836e36i | 0.459191 | − | 0.795341i | ||||
\(188\) | 4.00631e35i | 0.164520i | ||||||||
\(189\) | 1.04366e36 | − | 2.43678e36i | 0.393706 | − | 0.919236i | ||||
\(190\) | 1.96706e35 | 0.0681960 | ||||||||
\(191\) | −4.15454e36 | − | 2.39863e36i | −1.32431 | − | 0.764590i | −0.339896 | − | 0.940463i | \(-0.610392\pi\) |
−0.984413 | + | 0.175873i | \(0.943725\pi\) | |||||||
\(192\) | −6.80590e35 | + | 4.82242e36i | −0.199557 | + | 1.41399i | ||||
\(193\) | −3.14530e36 | − | 5.44781e36i | −0.848682 | − | 1.46996i | −0.882385 | − | 0.470528i | \(-0.844064\pi\) |
0.0337037 | − | 0.999432i | \(-0.489270\pi\) | |||||||
\(194\) | 6.12828e36 | + | 3.53816e36i | 1.52234 | + | 0.878922i | ||||
\(195\) | 1.14403e36 | − | 1.46254e36i | 0.261747 | − | 0.334622i | ||||
\(196\) | 4.53485e36 | + | 7.30595e36i | 0.956016 | + | 1.54021i | ||||
\(197\) | 4.49628e36i | 0.873763i | 0.899519 | + | 0.436881i | \(0.143917\pi\) | ||||
−0.899519 | + | 0.436881i | \(0.856083\pi\) | |||||||
\(198\) | −1.51677e37 | − | 4.36824e36i | −2.71816 | − | 0.782823i | ||||
\(199\) | 4.63021e36 | + | 8.01976e36i | 0.765511 | + | 1.32590i | 0.939976 | + | 0.341241i | \(0.110847\pi\) |
−0.174465 | + | 0.984663i | \(0.555820\pi\) | |||||||
\(200\) | −3.92534e36 | + | 2.26630e36i | −0.598960 | + | 0.345810i | ||||
\(201\) | 2.11788e36 | − | 8.54257e35i | 0.298377 | − | 0.120352i | ||||
\(202\) | −2.02421e37 | −2.63411 | ||||||||
\(203\) | 3.44747e34 | + | 2.16078e36i | 0.00414537 | + | 0.259821i | ||||
\(204\) | 5.47150e36 | − | 6.99487e36i | 0.608169 | − | 0.777494i | ||||
\(205\) | 1.61286e36 | − | 2.79356e36i | 0.165781 | − | 0.287142i | ||||
\(206\) | −1.84071e37 | + | 1.06273e37i | −1.75029 | + | 1.01053i | ||||
\(207\) | 8.93315e36 | + | 9.27198e36i | 0.786102 | + | 0.815919i | ||||
\(208\) | 1.75867e36 | − | 3.04610e36i | 0.143275 | − | 0.248160i | ||||
\(209\) | − | 1.29502e36i | − | 0.0977095i | ||||||
\(210\) | 1.55149e37 | − | 6.54766e36i | 1.08452 | − | 0.457696i | ||||
\(211\) | −1.57118e37 | −1.01790 | −0.508952 | − | 0.860795i | \(-0.669967\pi\) | ||||
−0.508952 | + | 0.860795i | \(0.669967\pi\) | |||||||
\(212\) | 1.65024e37 | + | 9.52764e36i | 0.991225 | + | 0.572284i | ||||
\(213\) | 2.50080e37 | + | 3.52939e36i | 1.39317 | + | 0.196619i | ||||
\(214\) | −2.90428e37 | − | 5.03036e37i | −1.50113 | − | 2.60003i | ||||
\(215\) | 1.63744e37 | + | 9.45375e36i | 0.785506 | + | 0.453512i | ||||
\(216\) | −2.79384e37 | − | 1.24971e37i | −1.24435 | − | 0.556606i | ||||
\(217\) | −9.29070e36 | − | 1.55150e37i | −0.384320 | − | 0.641794i | ||||
\(218\) | 4.11517e37i | 1.58155i | ||||||||
\(219\) | −2.24380e37 | + | 9.05046e36i | −0.801453 | + | 0.323269i | ||||
\(220\) | −3.23112e37 | − | 5.59646e37i | −1.07298 | − | 1.85845i | ||||
\(221\) | 9.24222e36 | − | 5.33600e36i | 0.285430 | − | 0.164793i | ||||
\(222\) | −1.64785e37 | − | 4.08536e37i | −0.473444 | − | 1.17377i | ||||
\(223\) | 4.25484e37 | 1.13764 | 0.568821 | − | 0.822461i | \(-0.307400\pi\) | ||||
0.568821 | + | 0.822461i | \(0.307400\pi\) | |||||||
\(224\) | −1.96187e37 | + | 1.17481e37i | −0.488316 | + | 0.292414i | ||||
\(225\) | 5.27105e36 | + | 2.12456e37i | 0.122173 | + | 0.492435i | ||||
\(226\) | −1.01853e37 | + | 1.76415e37i | −0.219907 | + | 0.380891i | ||||
\(227\) | 3.54724e37 | − | 2.04800e37i | 0.713636 | − | 0.412018i | −0.0987700 | − | 0.995110i | \(-0.531491\pi\) |
0.812406 | + | 0.583093i | \(0.198157\pi\) | |||||||
\(228\) | 7.82655e35 | − | 5.54562e36i | 0.0146762 | − | 0.103990i | ||||
\(229\) | 9.70048e35 | − | 1.68017e36i | 0.0169600 | − | 0.0293756i | −0.857421 | − | 0.514616i | \(-0.827935\pi\) |
0.874381 | + | 0.485240i | \(0.161268\pi\) | |||||||
\(230\) | 8.17910e37i | 1.33371i | ||||||||
\(231\) | −4.31069e37 | − | 1.02143e38i | −0.655776 | − | 1.55388i | ||||
\(232\) | 2.49508e37 | 0.354223 | ||||||||
\(233\) | 1.12627e38 | + | 6.50253e37i | 1.49262 | + | 0.861763i | 0.999964 | − | 0.00846283i | \(-0.00269383\pi\) |
0.492653 | + | 0.870226i | \(0.336027\pi\) | |||||||
\(234\) | −5.69153e37 | − | 5.90741e37i | −0.704329 | − | 0.731043i | ||||
\(235\) | 2.75544e36 | + | 4.77256e36i | 0.0318496 | + | 0.0551652i | ||||
\(236\) | 1.71337e38 | + | 9.89217e37i | 1.85038 | + | 1.06832i | ||||
\(237\) | −8.70227e37 | − | 6.80706e37i | −0.878333 | − | 0.687047i | ||||
\(238\) | 9.67739e37 | − | 1.54400e36i | 0.913118 | − | 0.0145685i | ||||
\(239\) | − | 6.60525e37i | − | 0.582805i | −0.956601 | − | 0.291402i | \(-0.905878\pi\) | ||
0.956601 | − | 0.291402i | \(-0.0941219\pi\) | |||||||
\(240\) | −1.50606e37 | − | 3.73383e37i | −0.124297 | − | 0.308159i | ||||
\(241\) | 4.11481e37 | + | 7.12706e37i | 0.317744 | + | 0.550348i | 0.980017 | − | 0.198914i | \(-0.0637415\pi\) |
−0.662273 | + | 0.749262i | \(0.730408\pi\) | |||||||
\(242\) | −3.70718e38 | + | 2.14034e38i | −2.67916 | + | 1.54681i | ||||
\(243\) | −9.53365e37 | + | 1.12953e38i | −0.644999 | + | 0.764183i | ||||
\(244\) | −4.21660e38 | −2.67131 | ||||||||
\(245\) | 1.04270e38 | + | 5.58433e37i | 0.618732 | + | 0.331370i | ||||
\(246\) | −1.12246e38 | − | 8.78004e37i | −0.624033 | − | 0.488129i | ||||
\(247\) | 3.36515e36 | − | 5.82861e36i | 0.0175329 | − | 0.0303678i | ||||
\(248\) | −1.80819e38 | + | 1.04396e38i | −0.883115 | + | 0.509866i | ||||
\(249\) | −3.40657e38 | − | 4.80771e37i | −1.56001 | − | 0.220165i | ||||
\(250\) | −2.06567e38 | + | 3.57784e38i | −0.887196 | + | 1.53667i | ||||
\(251\) | 1.45755e38i | 0.587277i | 0.955917 | + | 0.293638i | \(0.0948662\pi\) | ||||
−0.955917 | + | 0.293638i | \(0.905134\pi\) | |||||||
\(252\) | −1.22864e38 | − | 4.63455e38i | −0.464532 | − | 1.75226i | ||||
\(253\) | 5.38476e38 | 1.91090 | ||||||||
\(254\) | 3.81571e37 | + | 2.20300e37i | 0.127127 | + | 0.0733965i | ||||
\(255\) | 1.70709e37 | − | 1.20959e38i | 0.0534090 | − | 0.378437i | ||||
\(256\) | 2.78025e38 | + | 4.81553e38i | 0.817041 | + | 1.41516i | ||||
\(257\) | 2.38428e38 | + | 1.37657e38i | 0.658306 | + | 0.380073i | 0.791631 | − | 0.610999i | \(-0.209232\pi\) |
−0.133325 | + | 0.991072i | \(0.542565\pi\) | |||||||
\(258\) | 5.14639e38 | − | 6.57924e38i | 1.33533 | − | 1.70711i | ||||
\(259\) | 1.50414e38 | − | 2.70396e38i | 0.366852 | − | 0.659484i | ||||
\(260\) | − | 3.35846e38i | − | 0.770134i | ||||||
\(261\) | 3.33475e37 | − | 1.15791e38i | 0.0719143 | − | 0.249705i | ||||
\(262\) | 8.33806e37 | + | 1.44419e38i | 0.169139 | + | 0.292958i | ||||
\(263\) | −5.29357e38 | + | 3.05625e38i | −1.01032 | + | 0.583306i | −0.911284 | − | 0.411778i | \(-0.864908\pi\) |
−0.0990316 | + | 0.995084i | \(0.531574\pi\) | |||||||
\(264\) | −1.18710e39 | + | 4.78821e38i | −2.13218 | + | 0.860023i | ||||
\(265\) | 2.62114e38 | 0.443156 | ||||||||
\(266\) | 5.23671e37 | − | 3.13585e37i | 0.0833590 | − | 0.0499171i | ||||
\(267\) | 5.15543e38 | − | 6.59080e38i | 0.772832 | − | 0.988002i | ||||
\(268\) | 2.06525e38 | − | 3.57712e38i | 0.291619 | − | 0.505099i | ||||
\(269\) | 1.50756e38 | − | 8.70391e37i | 0.200557 | − | 0.115792i | −0.396358 | − | 0.918096i | \(-0.629726\pi\) |
0.596915 | + | 0.802304i | \(0.296393\pi\) | |||||||
\(270\) | −9.33995e38 | + | 9.65296e37i | −1.17091 | + | 0.121015i | ||||
\(271\) | −4.59132e38 | + | 7.95239e38i | −0.542536 | + | 0.939700i | 0.456221 | + | 0.889866i | \(0.349203\pi\) |
−0.998758 | + | 0.0498338i | \(0.984131\pi\) | |||||||
\(272\) | − | 2.31399e38i | − | 0.257785i | ||||||
\(273\) | 7.14069e37 | − | 5.71738e38i | 0.0750132 | − | 0.600613i | ||||
\(274\) | 2.48101e39 | 2.45821 | ||||||||
\(275\) | 7.92836e38 | + | 4.57744e38i | 0.741072 | + | 0.427858i | ||||
\(276\) | 2.30589e39 | + | 3.25431e38i | 2.03373 | + | 0.287021i | ||||
\(277\) | −7.92107e38 | − | 1.37197e39i | −0.659337 | − | 1.14200i | −0.980788 | − | 0.195079i | \(-0.937504\pi\) |
0.321451 | − | 0.946926i | \(-0.395830\pi\) | |||||||
\(278\) | 2.90142e39 | + | 1.67514e39i | 2.27979 | + | 1.31624i | ||||
\(279\) | 2.42808e38 | + | 9.78668e38i | 0.180134 | + | 0.726053i | ||||
\(280\) | 6.63870e38 | − | 1.19343e39i | 0.465109 | − | 0.836118i | ||||
\(281\) | 1.21301e39i | 0.802716i | 0.915921 | + | 0.401358i | \(0.131462\pi\) | ||||
−0.915921 | + | 0.401358i | \(0.868538\pi\) | |||||||
\(282\) | 2.25784e38 | − | 9.10709e37i | 0.141159 | − | 0.0569369i | ||||
\(283\) | −5.44612e38 | − | 9.43296e38i | −0.321739 | − | 0.557269i | 0.659108 | − | 0.752049i | \(-0.270934\pi\) |
−0.980847 | + | 0.194780i | \(0.937601\pi\) | |||||||
\(284\) | 3.95603e39 | − | 2.28401e39i | 2.20885 | − | 1.27528i | ||||
\(285\) | −2.88178e37 | − | 7.14456e37i | −0.0152105 | − | 0.0377101i | ||||
\(286\) | −3.43076e39 | −1.71212 | ||||||||
\(287\) | −1.59679e37 | − | 1.00082e39i | −0.00753593 | − | 0.472332i | ||||
\(288\) | 1.23752e39 | − | 3.07030e38i | 0.552426 | − | 0.137057i | ||||
\(289\) | −8.32911e38 | + | 1.44264e39i | −0.351749 | + | 0.609248i | ||||
\(290\) | 6.62918e38 | − | 3.82736e38i | 0.264906 | − | 0.152944i | ||||
\(291\) | 3.87291e38 | − | 2.74421e39i | 0.146470 | − | 1.03784i | ||||
\(292\) | −2.18804e39 | + | 3.78979e39i | −0.783301 | + | 1.35672i | ||||
\(293\) | 5.04436e39i | 1.70972i | 0.518862 | + | 0.854858i | \(0.326356\pi\) | ||||
−0.518862 | + | 0.854858i | \(0.673644\pi\) | |||||||
\(294\) | 3.08656e39 | − | 4.21648e39i | 0.990645 | − | 1.35330i | ||||
\(295\) | 2.72143e39 | 0.827265 | ||||||||
\(296\) | −3.09380e39 | − | 1.78620e39i | −0.890890 | − | 0.514356i | ||||
\(297\) | 6.35508e38 | + | 6.14901e39i | 0.173388 | + | 1.67765i | ||||
\(298\) | −3.50084e39 | − | 6.06363e39i | −0.905132 | − | 1.56773i | ||||
\(299\) | 2.42356e39 | + | 1.39924e39i | 0.593902 | + | 0.342890i | ||||
\(300\) | 3.11848e39 | + | 2.43933e39i | 0.724442 | + | 0.566671i | ||||
\(301\) | 5.86630e39 | − | 9.35952e37i | 1.29211 | − | 0.0206153i | ||||
\(302\) | − | 9.66147e39i | − | 2.01805i | ||||||
\(303\) | 2.96552e39 | + | 7.35214e39i | 0.587514 | + | 1.45657i | ||||
\(304\) | −7.29658e37 | − | 1.26381e38i | −0.0137133 | − | 0.0237521i | ||||
\(305\) | −5.02306e39 | + | 2.90006e39i | −0.895717 | + | 0.517142i | ||||
\(306\) | −5.18588e39 | − | 1.49352e39i | −0.877565 | − | 0.252736i | ||||
\(307\) | 7.39717e39 | 1.18810 | 0.594048 | − | 0.804429i | \(-0.297529\pi\) | ||||
0.594048 | + | 0.804429i | \(0.297529\pi\) | |||||||
\(308\) | −1.75237e40 | − | 9.74794e39i | −2.67187 | − | 1.48628i | ||||
\(309\) | 6.55664e39 | + | 5.12871e39i | 0.949174 | + | 0.742460i | ||||
\(310\) | −3.20279e39 | + | 5.54739e39i | −0.440292 | + | 0.762608i | ||||
\(311\) | −4.23823e39 | + | 2.44694e39i | −0.553373 | + | 0.319490i | −0.750481 | − | 0.660892i | \(-0.770178\pi\) |
0.197108 | + | 0.980382i | \(0.436845\pi\) | |||||||
\(312\) | −6.58710e39 | − | 9.29639e38i | −0.816997 | − | 0.115303i | ||||
\(313\) | 2.27888e39 | − | 3.94714e39i | 0.268542 | − | 0.465129i | −0.699943 | − | 0.714198i | \(-0.746791\pi\) |
0.968486 | + | 0.249069i | \(0.0801247\pi\) | |||||||
\(314\) | − | 2.01690e40i | − | 2.25845i | ||||||
\(315\) | −4.65115e39 | − | 4.67592e39i | −0.494984 | − | 0.497621i | ||||
\(316\) | −1.99832e40 | −2.02149 | ||||||||
\(317\) | −7.87910e38 | − | 4.54900e38i | −0.0757754 | − | 0.0437489i | 0.461634 | − | 0.887071i | \(-0.347264\pi\) |
−0.537409 | + | 0.843322i | \(0.680597\pi\) | |||||||
\(318\) | 1.61821e39 | − | 1.14661e40i | 0.147979 | − | 1.04853i | ||||
\(319\) | −2.51977e39 | − | 4.36436e39i | −0.219134 | − | 0.379551i | ||||
\(320\) | 1.04935e40 | + | 6.05844e39i | 0.868004 | + | 0.501143i | ||||
\(321\) | −1.40160e40 | + | 1.79183e40i | −1.10292 | + | 1.40999i | ||||
\(322\) | 1.30390e40 | + | 2.17745e40i | 0.976226 | + | 1.63025i | ||||
\(323\) | − | 4.42773e38i | − | 0.0315458i | ||||||
\(324\) | −9.94785e38 | + | 2.67157e40i | −0.0674542 | + | 1.81153i | ||||
\(325\) | 2.37892e39 | + | 4.12041e39i | 0.153549 | + | 0.265954i | ||||
\(326\) | −1.59556e40 | + | 9.21195e39i | −0.980461 | + | 0.566069i | ||||
\(327\) | 1.49467e40 | − | 6.02882e39i | 0.874545 | − | 0.352751i | ||||
\(328\) | −1.15566e40 | −0.643947 | ||||||||
\(329\) | 1.49439e39 | + | 8.31286e38i | 0.0793102 | + | 0.0441180i | ||||
\(330\) | −2.41951e40 | + | 3.09314e40i | −1.22322 | + | 1.56378i | ||||
\(331\) | 1.98217e40 | − | 3.43321e40i | 0.954755 | − | 1.65368i | 0.219829 | − | 0.975539i | \(-0.429450\pi\) |
0.734927 | − | 0.678146i | \(-0.237216\pi\) | |||||||
\(332\) | −5.38888e40 | + | 3.11127e40i | −2.47337 | + | 1.42800i | ||||
\(333\) | −1.24243e40 | + | 1.19703e40i | −0.543457 | + | 0.523597i | ||||
\(334\) | −1.00516e40 | + | 1.74098e40i | −0.419073 | + | 0.725856i | ||||
\(335\) | − | 5.68169e39i | − | 0.225819i | ||||||
\(336\) | −9.96186e39 | − | 7.53930e39i | −0.377496 | − | 0.285695i | ||||
\(337\) | −2.09385e40 | −0.756600 | −0.378300 | − | 0.925683i | \(-0.623491\pi\) | ||||
−0.378300 | + | 0.925683i | \(0.623491\pi\) | |||||||
\(338\) | 2.67059e40 | + | 1.54186e40i | 0.920322 | + | 0.531348i | ||||
\(339\) | 7.89976e39 | + | 1.11490e39i | 0.259668 | + | 0.0366470i | ||||
\(340\) | −1.10473e40 | − | 1.91345e40i | −0.346413 | − | 0.600004i | ||||
\(341\) | 3.65216e40 | + | 2.10857e40i | 1.09265 | + | 0.630839i | ||||
\(342\) | −3.30326e39 | + | 8.19540e38i | −0.0943029 | + | 0.0233966i | ||||
\(343\) | 3.66613e40 | − | 1.75596e39i | 0.998855 | − | 0.0478418i | ||||
\(344\) | − | 6.77389e40i | − | 1.76158i | ||||||
\(345\) | 2.97074e40 | − | 1.19826e40i | 0.737494 | − | 0.297471i | ||||
\(346\) | −2.46691e40 | − | 4.27281e40i | −0.584703 | − | 1.01274i | ||||
\(347\) | 3.19309e40 | − | 1.84353e40i | 0.722668 | − | 0.417233i | −0.0930658 | − | 0.995660i | \(-0.529667\pi\) |
0.815734 | + | 0.578427i | \(0.196333\pi\) | |||||||
\(348\) | −8.15265e39 | − | 2.02121e40i | −0.176210 | − | 0.436862i | ||||
\(349\) | −3.14501e40 | −0.649254 | −0.324627 | − | 0.945842i | \(-0.605239\pi\) | ||||
−0.324627 | + | 0.945842i | \(0.605239\pi\) | |||||||
\(350\) | 6.88353e38 | + | 4.31442e40i | 0.0135745 | + | 0.850812i | ||||
\(351\) | −1.31181e40 | + | 2.93267e40i | −0.247148 | + | 0.552523i | ||||
\(352\) | 2.66629e40 | − | 4.61814e40i | 0.479981 | − | 0.831352i | ||||
\(353\) | 4.28129e40 | − | 2.47180e40i | 0.736511 | − | 0.425225i | −0.0842884 | − | 0.996441i | \(-0.526862\pi\) |
0.820799 | + | 0.571217i | \(0.193528\pi\) | |||||||
\(354\) | 1.68012e40 | − | 1.19048e41i | 0.276241 | − | 1.95735i | ||||
\(355\) | 3.14177e40 | − | 5.44170e40i | 0.493765 | − | 0.855226i | ||||
\(356\) | − | 1.51345e41i | − | 2.27389i | ||||||
\(357\) | −1.47384e40 | − | 3.49231e40i | −0.211719 | − | 0.501674i | ||||
\(358\) | 5.05652e40 | 0.694581 | ||||||||
\(359\) | −3.38647e40 | − | 1.95518e40i | −0.444873 | − | 0.256848i | 0.260790 | − | 0.965396i | \(-0.416017\pi\) |
−0.705662 | + | 0.708548i | \(0.749350\pi\) | |||||||
\(360\) | −5.48363e40 | + | 5.28324e40i | −0.689014 | + | 0.663836i | ||||
\(361\) | 4.14596e40 | + | 7.18101e40i | 0.498322 | + | 0.863119i | ||||
\(362\) | −1.58986e41 | − | 9.17907e40i | −1.82819 | − | 1.05551i | ||||
\(363\) | 1.32051e41 | + | 1.03292e41i | 1.45290 | + | 1.13648i | ||||
\(364\) | −5.35401e40 | − | 8.94092e40i | −0.563712 | − | 0.941369i | ||||
\(365\) | 6.01949e40i | 0.606560i | ||||||||
\(366\) | 9.58511e40 | + | 2.37635e41i | 0.924484 | + | 2.29199i | ||||
\(367\) | 2.42787e40 | + | 4.20520e40i | 0.224166 | + | 0.388266i | 0.956069 | − | 0.293142i | \(-0.0947010\pi\) |
−0.731903 | + | 0.681409i | \(0.761368\pi\) | |||||||
\(368\) | 5.25495e40 | − | 3.03395e40i | 0.464519 | − | 0.268190i | ||||
\(369\) | −1.54458e40 | + | 5.36318e40i | −0.130734 | + | 0.453942i | ||||
\(370\) | −1.09599e41 | −0.888338 | ||||||||
\(371\) | 6.97803e40 | − | 4.17859e40i | 0.541689 | − | 0.324375i | ||||
\(372\) | 1.43651e41 | + | 1.12367e41i | 1.06813 | + | 0.835507i | ||||
\(373\) | −6.43784e40 | + | 1.11507e41i | −0.458563 | + | 0.794254i | −0.998885 | − | 0.0472041i | \(-0.984969\pi\) |
0.540323 | + | 0.841458i | \(0.318302\pi\) | |||||||
\(374\) | −1.95464e41 | + | 1.12851e41i | −1.33390 | + | 0.770126i | ||||
\(375\) | 1.60213e41 | + | 2.26110e40i | 1.04761 | + | 0.147849i | ||||
\(376\) | 9.87175e39 | − | 1.70984e40i | 0.0618570 | − | 0.107139i | ||||
\(377\) | − | 2.61907e40i | − | 0.157284i | ||||||
\(378\) | −2.33260e41 | + | 1.74594e41i | −1.34268 | + | 1.00499i | ||||
\(379\) | −7.19592e40 | −0.397062 | −0.198531 | − | 0.980095i | \(-0.563617\pi\) | ||||
−0.198531 | + | 0.980095i | \(0.563617\pi\) | |||||||
\(380\) | −1.20672e40 | − | 6.96699e39i | −0.0638364 | − | 0.0368560i | ||||
\(381\) | 2.41143e39 | − | 1.70865e40i | 0.0122314 | − | 0.0866671i | ||||
\(382\) | 2.63640e41 | + | 4.56638e41i | 1.28232 | + | 2.22105i | ||||
\(383\) | −3.11951e40 | − | 1.80105e40i | −0.145515 | − | 0.0840129i | 0.425475 | − | 0.904970i | \(-0.360107\pi\) |
−0.570990 | + | 0.820957i | \(0.693440\pi\) | |||||||
\(384\) | 2.51427e41 | − | 3.21428e41i | 1.12489 | − | 1.43808i | ||||
\(385\) | −2.75796e41 | + | 4.40025e39i | −1.18363 | + | 0.0188845i | ||||
\(386\) | 6.91417e41i | 2.84671i | ||||||||
\(387\) | −3.14361e41 | − | 9.05350e40i | −1.24180 | − | 0.357636i | ||||
\(388\) | −2.50632e41 | − | 4.34108e41i | −0.950012 | − | 1.64547i | ||||
\(389\) | 2.18790e41 | − | 1.26319e41i | 0.795856 | − | 0.459488i | −0.0461642 | − | 0.998934i | \(-0.514700\pi\) |
0.842020 | + | 0.539446i | \(0.181366\pi\) | |||||||
\(390\) | −1.89273e41 | + | 7.63440e40i | −0.660777 | + | 0.266527i | ||||
\(391\) | 1.84107e41 | 0.616938 | ||||||||
\(392\) | −1.35186e40 | − | 4.23548e41i | −0.0434866 | − | 1.36247i | ||||
\(393\) | 4.02392e40 | − | 5.14425e40i | 0.124271 | − | 0.158870i | ||||
\(394\) | 2.47099e41 | − | 4.27989e41i | 0.732710 | − | 1.26909i | ||||
\(395\) | −2.38051e41 | + | 1.37439e41i | −0.677823 | + | 0.391342i | ||||
\(396\) | 7.75766e41 | + | 8.05190e41i | 2.12133 | + | 2.20179i | ||||
\(397\) | 2.13747e41 | − | 3.70220e41i | 0.561373 | − | 0.972326i | −0.436004 | − | 0.899945i | \(-0.643607\pi\) |
0.997377 | − | 0.0723817i | \(-0.0230600\pi\) | |||||||
\(398\) | − | 1.01784e42i | − | 2.56773i | ||||||
\(399\) | −1.90617e40 | − | 1.44262e40i | −0.0461950 | − | 0.0349611i | ||||
\(400\) | 1.03163e41 | 0.240196 | ||||||||
\(401\) | −8.07055e40 | − | 4.65954e40i | −0.180548 | − | 0.104240i | 0.407002 | − | 0.913427i | \(-0.366574\pi\) |
−0.587550 | + | 0.809188i | \(0.699908\pi\) | |||||||
\(402\) | −2.48543e41 | − | 3.50769e40i | −0.534299 | − | 0.0754058i | ||||
\(403\) | 1.09584e41 | + | 1.89805e41i | 0.226394 | + | 0.392126i | ||||
\(404\) | 1.24178e42 | + | 7.16942e41i | 2.46571 | + | 1.42358i | ||||
\(405\) | 1.71893e41 | + | 3.25095e41i | 0.328079 | + | 0.620483i | ||||
\(406\) | 1.15467e41 | − | 2.07574e41i | 0.211857 | − | 0.380852i | ||||
\(407\) | 7.21550e41i | 1.27279i | ||||||||
\(408\) | −4.05873e41 | + | 1.63711e41i | −0.688379 | + | 0.277661i | ||||
\(409\) | −2.01992e41 | − | 3.49860e41i | −0.329428 | − | 0.570586i | 0.652970 | − | 0.757383i | \(-0.273523\pi\) |
−0.982398 | + | 0.186797i | \(0.940189\pi\) | |||||||
\(410\) | −3.07048e41 | + | 1.77274e41i | −0.481576 | + | 0.278038i | ||||
\(411\) | −3.63474e41 | − | 9.01128e41i | −0.548282 | − | 1.35931i | ||||
\(412\) | 1.50561e42 | 2.18453 | ||||||||
\(413\) | 7.24501e41 | − | 4.33847e41i | 1.01120 | − | 0.605530i | ||||
\(414\) | −3.40768e41 | − | 1.37351e42i | −0.457566 | − | 1.84428i | ||||
\(415\) | −4.27970e41 | + | 7.41266e41i | −0.552896 | + | 0.957644i | ||||
\(416\) | 2.40007e41 | − | 1.38568e41i | 0.298354 | − | 0.172255i | ||||
\(417\) | 1.83362e41 | − | 1.29924e42i | 0.219348 | − | 1.55422i | ||||
\(418\) | −7.11698e40 | + | 1.23270e41i | −0.0819361 | + | 0.141918i | ||||
\(419\) | − | 7.70395e41i | − | 0.853668i | −0.904330 | − | 0.426834i | \(-0.859629\pi\) | ||
0.904330 | − | 0.426834i | \(-0.140371\pi\) | |||||||
\(420\) | −1.18369e42 | − | 1.47836e41i | −1.26255 | − | 0.157686i | ||||
\(421\) | 5.28898e41 | 0.543073 | 0.271537 | − | 0.962428i | \(-0.412468\pi\) | ||||
0.271537 | + | 0.962428i | \(0.412468\pi\) | |||||||
\(422\) | 1.49557e42 | + | 8.63465e41i | 1.47845 | + | 0.853583i | ||||
\(423\) | −6.61559e40 | − | 6.86651e40i | −0.0629684 | − | 0.0653567i | ||||
\(424\) | −4.69532e41 | − | 8.13252e41i | −0.430339 | − | 0.745370i | ||||
\(425\) | 2.71073e41 | + | 1.56504e41i | 0.239257 | + | 0.138135i | ||||
\(426\) | −2.18648e42 | − | 1.71030e42i | −1.85863 | − | 1.45385i | ||||
\(427\) | −8.74919e41 | + | 1.57283e42i | −0.716344 | + | 1.28776i | ||||
\(428\) | 4.11460e42i | 3.24509i | ||||||||
\(429\) | 5.02615e41 | + | 1.24609e42i | 0.381873 | + | 0.946744i | ||||
\(430\) | −1.03909e42 | − | 1.79975e42i | −0.760602 | − | 1.31740i | ||||
\(431\) | −9.66428e41 | + | 5.57967e41i | −0.681605 | + | 0.393525i | −0.800460 | − | 0.599387i | \(-0.795411\pi\) |
0.118854 | + | 0.992912i | \(0.462078\pi\) | |||||||
\(432\) | 4.08475e41 | + | 5.64272e41i | 0.277604 | + | 0.383485i | ||||
\(433\) | −7.92993e41 | −0.519354 | −0.259677 | − | 0.965696i | \(-0.583616\pi\) | ||||
−0.259677 | + | 0.965696i | \(0.583616\pi\) | |||||||
\(434\) | 3.17086e40 | + | 1.98741e42i | 0.0200144 | + | 1.25445i | ||||
\(435\) | −2.36133e41 | − | 1.84707e41i | −0.143658 | − | 0.112371i | ||||
\(436\) | 1.45753e42 | − | 2.52451e42i | 0.854737 | − | 1.48045i | ||||
\(437\) | 1.00552e41 | − | 5.80536e40i | 0.0568442 | − | 0.0328190i | ||||
\(438\) | 2.63319e42 | + | 3.71624e41i | 1.43515 | + | 0.202543i | ||||
\(439\) | 1.39092e42 | − | 2.40914e42i | 0.730918 | − | 1.26599i | −0.225573 | − | 0.974226i | \(-0.572426\pi\) |
0.956491 | − | 0.291761i | \(-0.0942411\pi\) | |||||||
\(440\) | 3.18465e42i | 1.61369i | ||||||||
\(441\) | −1.98366e42 | − | 5.03348e41i | −0.969282 | − | 0.245952i | ||||
\(442\) | −1.17299e42 | −0.552762 | ||||||||
\(443\) | −1.56244e42 | − | 9.02075e41i | −0.710139 | − | 0.409999i | 0.100973 | − | 0.994889i | \(-0.467804\pi\) |
−0.811113 | + | 0.584890i | \(0.801138\pi\) | |||||||
\(444\) | −4.36073e41 | + | 3.08986e42i | −0.191175 | + | 1.35460i | ||||
\(445\) | −1.04091e42 | − | 1.80292e42i | −0.440205 | − | 0.762457i | ||||
\(446\) | −4.05007e42 | − | 2.33831e42i | −1.65236 | − | 0.953991i | ||||
\(447\) | −1.68949e42 | + | 2.15988e42i | −0.665023 | + | 0.850177i | ||||
\(448\) | 3.75942e42 | − | 5.99805e40i | 1.42782 | − | 0.0227804i | ||||
\(449\) | − | 1.91621e42i | − | 0.702267i | −0.936325 | − | 0.351133i | \(-0.885796\pi\) | ||
0.936325 | − | 0.351133i | \(-0.114204\pi\) | |||||||
\(450\) | 6.65847e41 | − | 2.31199e42i | 0.235491 | − | 0.817685i | ||||
\(451\) | 1.16710e42 | + | 2.02147e42i | 0.398366 | + | 0.689991i | ||||
\(452\) | 1.24967e42 | − | 7.21495e41i | 0.411698 | − | 0.237694i | ||||
\(453\) | −3.50915e42 | + | 1.41543e42i | −1.11591 | + | 0.450108i | ||||
\(454\) | −4.50203e42 | −1.38202 | ||||||||
\(455\) | −1.25273e42 | − | 6.96860e41i | −0.371258 | − | 0.206521i | ||||
\(456\) | −1.70049e41 | + | 2.17394e41i | −0.0486561 | + | 0.0622029i | ||||
\(457\) | −2.57250e42 | + | 4.45569e42i | −0.710715 | + | 1.23099i | 0.253874 | + | 0.967237i | \(0.418295\pi\) |
−0.964589 | + | 0.263757i | \(0.915038\pi\) | |||||||
\(458\) | −1.84673e41 | + | 1.06621e41i | −0.0492669 | + | 0.0284442i | ||||
\(459\) | 2.17283e41 | + | 2.10237e42i | 0.0559786 | + | 0.541634i | ||||
\(460\) | 2.89690e42 | − | 5.01758e42i | 0.720790 | − | 1.24845i | ||||
\(461\) | − | 3.85372e42i | − | 0.926116i | −0.886328 | − | 0.463058i | \(-0.846752\pi\) | ||
0.886328 | − | 0.463058i | \(-0.153248\pi\) | |||||||
\(462\) | −1.51019e42 | + | 1.20917e43i | −0.350558 | + | 2.80684i | ||||
\(463\) | −3.19260e42 | −0.715894 | −0.357947 | − | 0.933742i | \(-0.616523\pi\) | ||||
−0.357947 | + | 0.933742i | \(0.616523\pi\) | |||||||
\(464\) | −4.91805e41 | − | 2.83944e41i | −0.106538 | − | 0.0615099i | ||||
\(465\) | 2.48409e42 | + | 3.50580e41i | 0.519900 | + | 0.0733736i | ||||
\(466\) | −7.14712e42 | − | 1.23792e43i | −1.44530 | − | 2.50332i | ||||
\(467\) | 3.80578e42 | + | 2.19727e42i | 0.743659 | + | 0.429352i | 0.823398 | − | 0.567464i | \(-0.192075\pi\) |
−0.0797391 | + | 0.996816i | \(0.525409\pi\) | |||||||
\(468\) | 1.39924e42 | + | 5.63983e42i | 0.264217 | + | 1.06496i | ||||
\(469\) | −9.05768e41 | − | 1.51259e42i | −0.165292 | − | 0.276029i | ||||
\(470\) | − | 6.05716e41i | − | 0.106832i | ||||||
\(471\) | −7.32560e42 | + | 2.95481e42i | −1.24884 | + | 0.503726i | ||||
\(472\) | −4.87496e42 | − | 8.44368e42i | −0.803340 | − | 1.39142i | ||||
\(473\) | −1.18488e43 | + | 6.84090e42i | −1.88754 | + | 1.08977i | ||||
\(474\) | 4.54254e42 | + | 1.12619e43i | 0.699593 | + | 1.73444i | ||||
\(475\) | 1.97399e41 | 0.0293932 | ||||||||
\(476\) | −5.99142e42 | − | 3.33286e42i | −0.862618 | − | 0.479850i | ||||
\(477\) | −4.40167e42 | + | 1.09205e42i | −0.612806 | + | 0.152037i | ||||
\(478\) | −3.63001e42 | + | 6.28737e42i | −0.488722 | + | 0.846491i | ||||
\(479\) | 1.06260e43 | − | 6.13490e42i | 1.38357 | − | 0.798802i | 0.390986 | − | 0.920397i | \(-0.372134\pi\) |
0.992580 | + | 0.121594i | \(0.0388007\pi\) | |||||||
\(480\) | 4.43308e41 | − | 3.14112e42i | 0.0558272 | − | 0.395572i | ||||
\(481\) | −1.87497e42 | + | 3.24754e42i | −0.228388 | + | 0.395579i | ||||
\(482\) | − | 9.04541e42i | − | 1.06580i | ||||||
\(483\) | 5.99847e42 | − | 7.92592e42i | 0.683733 | − | 0.903432i | ||||
\(484\) | 3.03230e43 | 3.34385 | ||||||||
\(485\) | −5.97136e42 | − | 3.44756e42i | −0.637096 | − | 0.367828i | ||||
\(486\) | 1.52823e43 | − | 5.51235e42i | 1.57765 | − | 0.569057i | ||||
\(487\) | −4.79585e42 | − | 8.30666e42i | −0.479074 | − | 0.829780i | 0.520638 | − | 0.853777i | \(-0.325694\pi\) |
−0.999712 | + | 0.0239974i | \(0.992361\pi\) | |||||||
\(488\) | 1.79958e43 | + | 1.03899e43i | 1.73962 | + | 1.00437i | ||||
\(489\) | 5.68341e42 | + | 4.44566e42i | 0.531700 | + | 0.415905i | ||||
\(490\) | −6.85625e42 | − | 1.10459e43i | −0.620797 | − | 1.00015i | ||||
\(491\) | 4.79659e42i | 0.420367i | 0.977662 | + | 0.210184i | \(0.0674062\pi\) | ||||
−0.977662 | + | 0.210184i | \(0.932594\pi\) | |||||||
\(492\) | 3.77612e42 | + | 9.36180e42i | 0.320335 | + | 0.794178i | ||||
\(493\) | −8.61517e41 | − | 1.49219e42i | −0.0707479 | − | 0.122539i | ||||
\(494\) | −6.40640e41 | + | 3.69874e41i | −0.0509311 | + | 0.0294051i | ||||
\(495\) | 1.47793e43 | + | 4.25638e42i | 1.13755 | + | 0.327610i | ||||
\(496\) | 4.75216e42 | 0.354147 | ||||||||
\(497\) | −3.11045e41 | − | 1.94955e43i | −0.0224451 | − | 1.40680i | ||||
\(498\) | 2.97841e43 | + | 2.32976e43i | 2.08121 | + | 1.62796i | ||||
\(499\) | 5.28731e42 | − | 9.15789e42i | 0.357788 | − | 0.619707i | −0.629803 | − | 0.776755i | \(-0.716864\pi\) |
0.987591 | + | 0.157048i | \(0.0501977\pi\) | |||||||
\(500\) | 2.53442e43 | − | 1.46325e43i | 1.66096 | − | 0.958956i | ||||
\(501\) | 7.79601e42 | + | 1.10025e42i | 0.494844 | + | 0.0698375i | ||||
\(502\) | 8.01016e42 | − | 1.38740e43i | 0.492472 | − | 0.852987i | ||||
\(503\) | 6.52926e42i | 0.388845i | 0.980918 | + | 0.194422i | \(0.0622832\pi\) | ||||
−0.980918 | + | 0.194422i | \(0.937717\pi\) | |||||||
\(504\) | −6.17610e42 | + | 2.28070e43i | −0.356308 | + | 1.31577i | ||||
\(505\) | 1.97238e43 | 1.10237 | ||||||||
\(506\) | −5.12561e43 | − | 2.95927e43i | −2.77547 | − | 1.60242i | ||||
\(507\) | 1.68774e42 | − | 1.19587e43i | 0.0885479 | − | 0.627419i | ||||
\(508\) | −1.56054e42 | − | 2.70293e42i | −0.0793331 | − | 0.137409i | ||||
\(509\) | 2.08882e43 | + | 1.20598e43i | 1.02900 | + | 0.594096i | 0.916699 | − | 0.399578i | \(-0.130843\pi\) |
0.112305 | + | 0.993674i | \(0.464177\pi\) | |||||||
\(510\) | −8.27239e42 | + | 1.05756e43i | −0.394919 | + | 0.504872i | ||||
\(511\) | 9.59619e42 | + | 1.60251e43i | 0.443981 | + | 0.741425i | ||||
\(512\) | − | 2.04008e43i | − | 0.914802i | ||||||
\(513\) | 7.81602e41 | + | 1.07971e42i | 0.0339709 | + | 0.0469279i | ||||
\(514\) | −1.51302e43 | − | 2.62063e43i | −0.637435 | − | 1.10407i | ||||
\(515\) | 1.79357e43 | − | 1.03552e43i | 0.732493 | − | 0.422905i | ||||
\(516\) | −5.48739e43 | + | 2.21336e43i | −2.17255 | + | 0.876308i | ||||
\(517\) | −3.98777e42 | −0.153067 | ||||||||
\(518\) | −2.91775e43 | + | 1.74721e43i | −1.08585 | + | 0.650232i | ||||
\(519\) | −1.19052e43 | + | 1.52199e43i | −0.429596 | + | 0.549203i | ||||
\(520\) | −8.27541e42 | + | 1.43334e43i | −0.289558 | + | 0.501530i | ||||
\(521\) | 2.20812e43 | − | 1.27486e43i | 0.749237 | − | 0.432572i | −0.0761814 | − | 0.997094i | \(-0.524273\pi\) |
0.825418 | + | 0.564522i | \(0.190939\pi\) | |||||||
\(522\) | −9.53773e42 | + | 9.18919e42i | −0.313846 | + | 0.302377i | ||||
\(523\) | −8.10491e42 | + | 1.40381e43i | −0.258655 | + | 0.448004i | −0.965882 | − | 0.258983i | \(-0.916613\pi\) |
0.707227 | + | 0.706987i | \(0.249946\pi\) | |||||||
\(524\) | − | 1.18128e43i | − | 0.365639i | ||||||
\(525\) | 1.55696e43 | − | 6.57075e42i | 0.467442 | − | 0.197272i | ||||
\(526\) | 6.71842e43 | 1.95657 | ||||||||
\(527\) | 1.24869e43 | + | 7.20929e42i | 0.352763 | + | 0.203668i | ||||
\(528\) | 2.88479e43 | + | 4.07132e42i | 0.790627 | + | 0.111581i | ||||
\(529\) | 5.33445e42 | + | 9.23954e42i | 0.141840 | + | 0.245674i | ||||
\(530\) | −2.49500e43 | − | 1.44049e43i | −0.643659 | − | 0.371617i | ||||
\(531\) | −4.57008e43 | + | 1.13384e43i | −1.14396 | + | 0.283817i | ||||
\(532\) | −4.32320e42 | + | 6.89755e40i | −0.105007 | + | 0.00167536i | ||||
\(533\) | 1.21309e43i | 0.285930i | ||||||||
\(534\) | −8.52939e43 | + | 3.44036e43i | −1.95100 | + | 0.786944i | ||||
\(535\) | 2.82991e43 | + | 4.90155e43i | 0.628221 | + | 1.08811i | ||||
\(536\) | −1.76284e43 | + | 1.01778e43i | −0.379818 | + | 0.219288i | ||||
\(537\) | −7.40792e42 | − | 1.83658e43i | −0.154920 | − | 0.384080i | ||||
\(538\) | −1.91334e43 | −0.388398 | ||||||||
\(539\) | −7.27213e43 | + | 4.51385e43i | −1.43298 | + | 0.889462i | ||||
\(540\) | 6.07162e43 | + | 2.71589e43i | 1.16146 | + | 0.519531i | ||||
\(541\) | 2.21269e43 | − | 3.83249e43i | 0.410927 | − | 0.711746i | −0.584065 | − | 0.811707i | \(-0.698539\pi\) |
0.994991 | + | 0.0999613i | \(0.0318719\pi\) | |||||||
\(542\) | 8.74071e43 | − | 5.04645e43i | 1.57601 | − | 0.909908i | ||||
\(543\) | −1.00475e43 | + | 7.11930e43i | −0.175898 | + | 1.24635i | ||||
\(544\) | 9.11613e42 | − | 1.57896e43i | 0.154963 | − | 0.268404i | ||||
\(545\) | − | 4.00979e43i | − | 0.661878i | ||||||
\(546\) | −3.82177e43 | + | 5.04980e43i | −0.612608 | + | 0.809453i | ||||
\(547\) | 6.21629e43 | 0.967684 | 0.483842 | − | 0.875155i | \(-0.339241\pi\) | ||||
0.483842 | + | 0.875155i | \(0.339241\pi\) | |||||||
\(548\) | −1.52201e44 | − | 8.78732e43i | −2.30106 | − | 1.32852i | ||||
\(549\) | 7.22692e43 | − | 6.96283e43i | 1.06120 | − | 1.02242i | ||||
\(550\) | −5.03120e43 | − | 8.71429e43i | −0.717577 | − | 1.24288i | ||||
\(551\) | −9.41052e41 | − | 5.43316e41i | −0.0130373 | − | 0.00752709i | ||||
\(552\) | −9.03934e43 | − | 7.07072e43i | −1.21650 | − | 0.951565i | ||||
\(553\) | −4.14638e43 | + | 7.45389e43i | −0.542085 | + | 0.974497i | ||||
\(554\) | 1.74125e44i | 2.21160i | ||||||||
\(555\) | 1.60565e43 | + | 3.98074e43i | 0.198136 | + | 0.491221i | ||||
\(556\) | −1.18661e44 | − | 2.05528e44i | −1.42270 | − | 2.46419i | ||||
\(557\) | 6.36205e42 | − | 3.67313e42i | 0.0741164 | − | 0.0427911i | −0.462484 | − | 0.886628i | \(-0.653042\pi\) |
0.536600 | + | 0.843837i | \(0.319708\pi\) | |||||||
\(558\) | 3.06719e43 | − | 1.06501e44i | 0.347211 | − | 1.20561i | ||||
\(559\) | −7.11051e43 | −0.782189 | ||||||||
\(560\) | −2.66669e43 | + | 1.59687e43i | −0.285078 | + | 0.170711i | ||||
\(561\) | 6.96249e43 | + | 5.44618e43i | 0.723367 | + | 0.565830i | ||||
\(562\) | 6.66625e43 | − | 1.15463e44i | 0.673132 | − | 1.16590i | ||||
\(563\) | −3.58394e43 | + | 2.06919e43i | −0.351743 | + | 0.203079i | −0.665453 | − | 0.746440i | \(-0.731762\pi\) |
0.313709 | + | 0.949519i | \(0.398428\pi\) | |||||||
\(564\) | −1.70766e43 | − | 2.41003e42i | −0.162906 | − | 0.0229910i | ||||
\(565\) | 9.92451e42 | − | 1.71898e43i | 0.0920309 | − | 0.159402i | ||||
\(566\) | 1.19720e44i | 1.07920i | ||||||||
\(567\) | 9.75878e43 | + | 5.91441e43i | 0.855198 | + | 0.518302i | ||||
\(568\) | −2.25117e44 | −1.91794 | ||||||||
\(569\) | 1.56281e44 | + | 9.02291e43i | 1.29453 | + | 0.747396i | 0.979453 | − | 0.201672i | \(-0.0646374\pi\) |
0.315074 | + | 0.949067i | \(0.397971\pi\) | |||||||
\(570\) | −1.18330e42 | + | 8.38444e42i | −0.00953008 | + | 0.0675268i | ||||
\(571\) | 6.19692e43 | + | 1.07334e44i | 0.485286 | + | 0.840541i | 0.999857 | − | 0.0169072i | \(-0.00538199\pi\) |
−0.514571 | + | 0.857448i | \(0.672049\pi\) | |||||||
\(572\) | 2.10465e44 | + | 1.21512e44i | 1.60267 | + | 0.925301i | ||||
\(573\) | 1.27232e44 | − | 1.62655e44i | 0.942154 | − | 1.20447i | ||||
\(574\) | −5.34818e43 | + | 9.61434e43i | −0.385138 | + | 0.692356i | ||||
\(575\) | 8.20794e43i | 0.574842i | ||||||||
\(576\) | −2.01458e44 | − | 5.80194e43i | −1.37223 | − | 0.395197i | ||||
\(577\) | −1.40063e44 | − | 2.42596e44i | −0.927920 | − | 1.60720i | −0.786797 | − | 0.617212i | \(-0.788262\pi\) |
−0.141122 | − | 0.989992i | \(-0.545071\pi\) | |||||||
\(578\) | 1.58565e44 | − | 9.15477e43i | 1.02179 | − | 0.589932i | ||||
\(579\) | 2.51130e44 | − | 1.01294e44i | 1.57413 | − | 0.634934i | ||||
\(580\) | −5.42236e43 | −0.330628 | ||||||||
\(581\) | 4.23704e42 | + | 2.65567e44i | 0.0251330 | + | 1.57527i | ||||
\(582\) | −1.87677e44 | + | 2.39930e44i | −1.08304 | + | 1.38457i | ||||
\(583\) | −9.48354e43 | + | 1.64260e44i | −0.532443 | + | 0.922219i | ||||
\(584\) | 1.86765e44 | − | 1.07829e44i | 1.02021 | − | 0.589018i | ||||
\(585\) | 5.54579e43 | + | 5.75614e43i | 0.294761 | + | 0.305941i | ||||
\(586\) | 2.77220e44 | − | 4.80159e44i | 1.43371 | − | 2.48327i | ||||
\(587\) | 1.03768e44i | 0.522221i | 0.965309 | + | 0.261110i | \(0.0840887\pi\) | ||||
−0.965309 | + | 0.261110i | \(0.915911\pi\) | |||||||
\(588\) | −3.38691e44 | + | 1.49345e44i | −1.65869 | + | 0.731398i | ||||
\(589\) | 9.09309e42 | 0.0433378 | ||||||||
\(590\) | −2.59046e44 | − | 1.49560e44i | −1.20156 | − | 0.693719i | ||||
\(591\) | −1.91651e44 | − | 2.70477e43i | −0.865189 | − | 0.122104i | ||||
\(592\) | 4.06545e43 | + | 7.04157e43i | 0.178633 | + | 0.309401i | ||||
\(593\) | 2.79189e44 | + | 1.61190e44i | 1.19405 | + | 0.689386i | 0.959223 | − | 0.282651i | \(-0.0912138\pi\) |
0.234829 | + | 0.972037i | \(0.424547\pi\) | |||||||
\(594\) | 2.77436e44 | − | 6.20234e44i | 1.15499 | − | 2.58209i | ||||
\(595\) | −9.42958e43 | + | 1.50446e42i | −0.382139 | + | 0.00609691i | ||||
\(596\) | 4.95976e44i | 1.95668i | ||||||||
\(597\) | −3.69690e44 | + | 1.49116e44i | −1.41987 | + | 0.572710i | ||||
\(598\) | −1.53795e44 | − | 2.66381e44i | −0.575073 | − | 0.996056i | ||||
\(599\) | 3.61136e43 | − | 2.08502e43i | 0.131474 | − | 0.0759068i | −0.432820 | − | 0.901480i | \(-0.642482\pi\) |
0.564295 | + | 0.825573i | \(0.309148\pi\) | |||||||
\(600\) | −7.29862e43 | − | 1.80948e44i | −0.258714 | − | 0.641408i | ||||
\(601\) | −2.54488e44 | −0.878367 | −0.439183 | − | 0.898397i | \(-0.644732\pi\) | ||||
−0.439183 | + | 0.898397i | \(0.644732\pi\) | |||||||
\(602\) | −5.63541e44 | − | 3.13482e44i | −1.89401 | − | 1.05358i | ||||
\(603\) | 2.36718e43 | + | 9.54123e43i | 0.0774738 | + | 0.312268i | ||||
\(604\) | −3.42194e44 | + | 5.92697e44i | −1.09064 | + | 1.88904i | ||||
\(605\) | 3.61225e44 | − | 2.08554e44i | 1.12122 | − | 0.647339i | ||||
\(606\) | 1.21768e44 | − | 8.62805e44i | 0.368104 | − | 2.60826i | ||||
\(607\) | 2.55397e44 | − | 4.42360e44i | 0.751962 | − | 1.30244i | −0.194908 | − | 0.980821i | \(-0.562441\pi\) |
0.946870 | − | 0.321615i | \(-0.104226\pi\) | |||||||
\(608\) | − | 1.14982e43i | − | 0.0329740i | ||||||
\(609\) | −9.23093e43 | − | 1.15289e43i | −0.257851 | − | 0.0322041i | ||||
\(610\) | 6.37509e44 | 1.73464 | ||||||||
\(611\) | −1.79481e43 | − | 1.03623e43i | −0.0475728 | − | 0.0274661i | ||||
\(612\) | 2.65237e44 | + | 2.75297e44i | 0.684876 | + | 0.710852i | ||||
\(613\) | 2.95337e44 | + | 5.11538e44i | 0.742934 | + | 1.28680i | 0.951154 | + | 0.308717i | \(0.0998995\pi\) |
−0.208221 | + | 0.978082i | \(0.566767\pi\) | |||||||
\(614\) | −7.04117e44 | − | 4.06522e44i | −1.72564 | − | 0.996300i | ||||
\(615\) | 1.09371e44 | + | 8.55521e43i | 0.261157 | + | 0.204281i | ||||
\(616\) | 5.07693e44 | + | 8.47821e44i | 1.18116 | + | 1.97248i | ||||
\(617\) | 2.72926e44i | 0.618703i | 0.950948 | + | 0.309351i | \(0.100112\pi\) | ||||
−0.950948 | + | 0.309351i | \(0.899888\pi\) | |||||||
\(618\) | −3.42253e44 | − | 8.48518e44i | −0.756018 | − | 1.87433i | ||||
\(619\) | 3.90799e44 | + | 6.76884e44i | 0.841208 | + | 1.45701i | 0.888874 | + | 0.458151i | \(0.151488\pi\) |
−0.0476669 | + | 0.998863i | \(0.515179\pi\) | |||||||
\(620\) | 3.92959e44 | − | 2.26875e44i | 0.824291 | − | 0.475904i | ||||
\(621\) | −4.48950e44 | + | 3.24993e44i | −0.917767 | + | 0.664368i | ||||
\(622\) | 5.37901e44 | 1.07166 | ||||||||
\(623\) | −5.64531e44 | − | 3.14033e44i | −1.09617 | − | 0.609770i | ||||
\(624\) | 1.19259e44 | + | 9.32862e43i | 0.225703 | + | 0.176548i | ||||
\(625\) | 6.37556e43 | − | 1.10428e44i | 0.117608 | − | 0.203704i | ||||
\(626\) | −4.33842e44 | + | 2.50479e44i | −0.780086 | + | 0.450383i | ||||
\(627\) | 5.51995e43 | + | 7.79032e42i | 0.0967507 | + | 0.0136545i | ||||
\(628\) | −7.14353e44 | + | 1.23730e45i | −1.22056 | + | 2.11407i | ||||
\(629\) | 2.46701e44i | 0.410923i | ||||||||
\(630\) | 1.85758e44 | + | 7.00699e44i | 0.301648 | + | 1.13784i | ||||
\(631\) | 8.57408e44 | 1.35743 | 0.678716 | − | 0.734401i | \(-0.262537\pi\) | ||||
0.678716 | + | 0.734401i | \(0.262537\pi\) | |||||||
\(632\) | 8.52853e44 | + | 4.92395e44i | 1.31644 | + | 0.760047i | ||||
\(633\) | 9.45157e43 | − | 6.69705e44i | 0.142248 | − | 1.00792i | ||||
\(634\) | 4.99993e43 | + | 8.66014e43i | 0.0733730 | + | 0.127086i | ||||
\(635\) | −3.71800e43 | − | 2.14659e43i | −0.0532023 | − | 0.0307164i | ||||
\(636\) | −5.05380e44 | + | 6.46087e44i | −0.705187 | + | 0.901524i | ||||
\(637\) | −4.44596e44 | + | 1.41904e43i | −0.604971 | + | 0.0193092i | ||||
\(638\) | 5.53910e44i | 0.735035i | ||||||||
\(639\) | −3.00875e44 | + | 1.04472e45i | −0.389379 | + | 1.35203i | ||||
\(640\) | −5.07646e44 | − | 8.79268e44i | −0.640739 | − | 1.10979i | ||||
\(641\) | 1.04748e45 | − | 6.04761e44i | 1.28948 | − | 0.744484i | 0.310922 | − | 0.950436i | \(-0.399362\pi\) |
0.978562 | + | 0.205952i | \(0.0660290\pi\) | |||||||
\(642\) | 2.31887e45 | − | 9.35324e44i | 2.78430 | − | 1.12306i | ||||
\(643\) | −9.86169e44 | −1.15498 | −0.577492 | − | 0.816396i | \(-0.695968\pi\) | ||||
−0.577492 | + | 0.816396i | \(0.695968\pi\) | |||||||
\(644\) | −2.86803e43 | − | 1.79761e45i | −0.0327650 | − | 2.05362i | ||||
\(645\) | −5.01461e44 | + | 6.41077e44i | −0.558833 | + | 0.714422i | ||||
\(646\) | −2.43332e43 | + | 4.21464e43i | −0.0264533 | + | 0.0458184i | ||||
\(647\) | 1.10434e45 | − | 6.37589e44i | 1.17121 | − | 0.676196i | 0.217242 | − | 0.976118i | \(-0.430294\pi\) |
0.953964 | + | 0.299922i | \(0.0969607\pi\) | |||||||
\(648\) | 7.00745e44 | − | 1.11568e45i | 0.725036 | − | 1.15435i | ||||
\(649\) | −9.84638e44 | + | 1.70544e45i | −0.993943 | + | 1.72156i | ||||
\(650\) | − | 5.22948e44i | − | 0.515045i | ||||||
\(651\) | 7.17205e44 | − | 3.02678e44i | 0.689203 | − | 0.290861i | ||||
\(652\) | 1.30509e45 | 1.22371 | ||||||||
\(653\) | −8.64146e44 | − | 4.98915e44i | −0.790636 | − | 0.456474i | 0.0495506 | − | 0.998772i | \(-0.484221\pi\) |
−0.840186 | + | 0.542298i | \(0.817554\pi\) | |||||||
\(654\) | −1.75406e45 | − | 2.47551e44i | −1.56603 | − | 0.221015i | ||||
\(655\) | −8.12455e43 | − | 1.40721e44i | −0.0707845 | − | 0.122602i | ||||
\(656\) | 2.27793e44 | + | 1.31516e44i | 0.193677 | + | 0.111820i | ||||
\(657\) | −2.50792e44 | − | 1.01085e45i | −0.208098 | − | 0.838765i | ||||
\(658\) | −9.65624e43 | − | 1.61254e44i | −0.0781977 | − | 0.130586i | ||||
\(659\) | − | 1.39439e45i | − | 1.10209i | −0.834474 | − | 0.551047i | \(-0.814228\pi\) | ||
0.834474 | − | 0.551047i | \(-0.185772\pi\) | |||||||
\(660\) | 2.57982e45 | − | 1.04058e45i | 1.99016 | − | 0.802737i | ||||
\(661\) | 6.40460e44 | + | 1.10931e45i | 0.482246 | + | 0.835274i | 0.999792 | − | 0.0203809i | \(-0.00648789\pi\) |
−0.517547 | + | 0.855655i | \(0.673155\pi\) | |||||||
\(662\) | −3.77354e45 | + | 2.17866e45i | −2.77346 | + | 1.60126i | ||||
\(663\) | 1.71846e44 | + | 4.26043e44i | 0.123289 | + | 0.305659i | ||||
\(664\) | 3.06653e45 | 2.14762 | ||||||||
\(665\) | −5.10262e43 | + | 3.05555e43i | −0.0348856 | + | 0.0208902i | ||||
\(666\) | 1.84048e45 | − | 4.56625e44i | 1.22841 | − | 0.304770i | ||||
\(667\) | 2.25913e44 | − | 3.91293e44i | 0.147207 | − | 0.254970i | ||||
\(668\) | 1.23325e45 | − | 7.12020e44i | 0.784566 | − | 0.452969i | ||||
\(669\) | −2.55954e44 | + | 1.81360e45i | −0.158980 | + | 1.12648i | ||||
\(670\) | −3.12246e44 | + | 5.40825e44i | −0.189365 | + | 0.327990i | ||||
\(671\) | − | 4.19708e45i | − | 2.48535i | ||||||
\(672\) | −3.82736e44 | − | 9.06904e44i | −0.221305 | − | 0.524388i | ||||
\(673\) | 1.60895e45 | 0.908450 | 0.454225 | − | 0.890887i | \(-0.349916\pi\) | ||||
0.454225 | + | 0.890887i | \(0.349916\pi\) | |||||||
\(674\) | 1.99308e45 | + | 1.15070e45i | 1.09892 | + | 0.634461i | ||||
\(675\) | −9.37289e44 | + | 9.68700e43i | −0.504676 | + | 0.0521589i | ||||
\(676\) | −1.09221e45 | − | 1.89176e45i | −0.574325 | − | 0.994760i | ||||
\(677\) | 1.63322e45 | + | 9.42942e44i | 0.838739 | + | 0.484246i | 0.856836 | − | 0.515590i | \(-0.172427\pi\) |
−0.0180961 | + | 0.999836i | \(0.505760\pi\) | |||||||
\(678\) | −6.90686e44 | − | 5.40266e44i | −0.346422 | − | 0.270977i | ||||
\(679\) | −2.13931e45 | + | 3.41320e43i | −1.04799 | + | 0.0167204i | ||||
\(680\) | 1.08884e45i | 0.520983i | ||||||||
\(681\) | 6.59558e44 | + | 1.63519e45i | 0.308247 | + | 0.764211i | ||||
\(682\) | −2.31759e45 | − | 4.01419e45i | −1.05800 | − | 1.83252i | ||||
\(683\) | 5.89963e44 | − | 3.40615e44i | 0.263083 | − | 0.151891i | −0.362657 | − | 0.931923i | \(-0.618130\pi\) |
0.625740 | + | 0.780031i | \(0.284797\pi\) | |||||||
\(684\) | 2.31670e44 | + | 6.67203e43i | 0.100919 | + | 0.0290643i | ||||
\(685\) | −2.41748e45 | −1.02876 | ||||||||
\(686\) | −3.58620e45 | − | 1.84763e45i | −1.49090 | − | 0.768121i | ||||
\(687\) | 6.57808e43 | + | 5.14549e43i | 0.0267172 | + | 0.0208987i | ||||
\(688\) | −7.70878e44 | + | 1.33520e45i | −0.305894 | + | 0.529824i | ||||
\(689\) | −8.53666e44 | + | 4.92864e44i | −0.330964 | + | 0.191082i | ||||
\(690\) | −3.48628e45 | − | 4.92020e44i | −1.32062 | − | 0.186379i | ||||
\(691\) | −2.00258e45 | + | 3.46857e45i | −0.741210 | + | 1.28381i | 0.210735 | + | 0.977543i | \(0.432414\pi\) |
−0.951945 | + | 0.306270i | \(0.900919\pi\) | |||||||
\(692\) | 3.49496e45i | 1.26399i | ||||||||
\(693\) | 4.61310e45 | − | 1.22295e45i | 1.63027 | − | 0.432193i | ||||
\(694\) | −4.05255e45 | −1.39951 | ||||||||
\(695\) | −2.82713e45 | − | 1.63224e45i | −0.954088 | − | 0.550843i | ||||
\(696\) | −1.50094e44 | + | 1.06351e45i | −0.0495011 | + | 0.350747i | ||||
\(697\) | 3.99035e44 | + | 6.91149e44i | 0.128613 | + | 0.222765i | ||||
\(698\) | 2.99365e45 | + | 1.72838e45i | 0.943005 | + | 0.544444i | ||||
\(699\) | −3.44918e45 | + | 4.40949e45i | −1.06189 | + | 1.35754i | ||||
\(700\) | 1.48587e45 | − | 2.67112e45i | 0.447108 | − | 0.803758i | ||||
\(701\) | − | 1.16265e44i | − | 0.0341949i | −0.999854 | − | 0.0170975i | \(-0.994557\pi\) | ||
0.999854 | − | 0.0170975i | \(-0.00544255\pi\) | |||||||
\(702\) | 2.86037e45 | − | 2.07061e45i | 0.822297 | − | 0.595258i | ||||
\(703\) | 7.77910e43 | + | 1.34738e44i | 0.0218597 | + | 0.0378621i | ||||
\(704\) | −7.59331e45 | + | 4.38400e45i | −2.08578 | + | 1.20423i | ||||
\(705\) | −2.20003e44 | + | 8.87389e43i | −0.0590747 | + | 0.0238280i | ||||
\(706\) | −5.43366e45 | −1.42632 | ||||||||
\(707\) | 5.25087e45 | − | 3.14433e45i | 1.34748 | − | 0.806897i | ||||
\(708\) | −5.24717e45 | + | 6.70807e45i | −1.31641 | + | 1.68293i | ||||
\(709\) | −3.51821e45 | + | 6.09372e45i | −0.862943 | + | 1.49466i | 0.00613279 | + | 0.999981i | \(0.498048\pi\) |
−0.869076 | + | 0.494679i | \(0.835285\pi\) | |||||||
\(710\) | −5.98113e45 | + | 3.45321e45i | −1.43433 | + | 0.828112i | ||||
\(711\) | 3.42496e45 | − | 3.29980e45i | 0.803048 | − | 0.773702i | ||||
\(712\) | −3.72923e45 | + | 6.45921e45i | −0.854947 | + | 1.48081i | ||||
\(713\) | 3.78094e45i | 0.847555i | ||||||||
\(714\) | −5.16340e44 | + | 4.13421e45i | −0.113179 | + | 0.906194i | ||||
\(715\) | 3.34291e45 | 0.716520 | ||||||||
\(716\) | −3.10199e45 | − | 1.79094e45i | −0.650178 | − | 0.375381i | ||||
\(717\) | 2.81544e45 | + | 3.97345e44i | 0.577086 | + | 0.0814443i | ||||
\(718\) | 2.14899e45 | + | 3.72217e45i | 0.430769 | + | 0.746113i | ||||
\(719\) | −6.32924e44 | − | 3.65419e44i | −0.124076 | − | 0.0716356i | 0.436677 | − | 0.899618i | \(-0.356155\pi\) |
−0.560754 | + | 0.827983i | \(0.689489\pi\) | |||||||
\(720\) | 1.68212e45 | − | 4.17334e44i | 0.322505 | − | 0.0800137i | ||||
\(721\) | 3.12405e45 | − | 5.61606e45i | 0.585806 | − | 1.05309i | ||||
\(722\) | − | 9.11389e45i | − | 1.67151i | ||||||
\(723\) | −3.28539e45 | + | 1.32518e45i | −0.589351 | + | 0.237717i | ||||
\(724\) | 6.50216e45 | + | 1.12621e46i | 1.14088 | + | 1.97606i | ||||
\(725\) | 6.65256e44 | − | 3.84086e44i | 0.114178 | − | 0.0659204i | ||||
\(726\) | −6.89298e45 | − | 1.70891e46i | −1.15723 | − | 2.86903i | ||||
\(727\) | 2.16851e45 | 0.356131 | 0.178066 | − | 0.984019i | \(-0.443016\pi\) | ||||
0.178066 | + | 0.984019i | \(0.443016\pi\) | |||||||
\(728\) | 8.19292e43 | + | 5.13511e45i | 0.0131625 | + | 0.824988i | ||||
\(729\) | −4.24104e45 | − | 4.74313e45i | −0.666549 | − | 0.745461i | ||||
\(730\) | 3.30810e45 | − | 5.72979e45i | 0.508642 | − | 0.880995i | ||||
\(731\) | −4.05115e45 | + | 2.33893e45i | −0.609396 | + | 0.351835i | ||||
\(732\) | 2.53653e45 | − | 1.79730e46i | 0.373304 | − | 2.64510i | ||||
\(733\) | 5.39620e45 | − | 9.34649e45i | 0.777006 | − | 1.34581i | −0.156655 | − | 0.987653i | \(-0.550071\pi\) |
0.933660 | − | 0.358160i | \(-0.116596\pi\) | |||||||
\(734\) | − | 5.33709e45i | − | 0.751913i | ||||||
\(735\) | −3.00753e45 | + | 4.10851e45i | −0.414584 | + | 0.566353i | ||||
\(736\) | 4.78099e45 | 0.644872 | ||||||||
\(737\) | 3.56056e45 | + | 2.05569e45i | 0.469935 | + | 0.271317i | ||||
\(738\) | 4.41766e45 | − | 4.25622e45i | 0.570545 | − | 0.549696i | ||||
\(739\) | 2.41526e45 | + | 4.18336e45i | 0.305248 | + | 0.528706i | 0.977317 | − | 0.211783i | \(-0.0679272\pi\) |
−0.672068 | + | 0.740489i | \(0.734594\pi\) | |||||||
\(740\) | 6.72349e45 | + | 3.88181e45i | 0.831548 | + | 0.480095i | ||||
\(741\) | 2.28197e44 | + | 1.78500e44i | 0.0276197 | + | 0.0216046i | ||||
\(742\) | −8.93861e45 | + | 1.42613e44i | −1.05878 | + | 0.0168926i | ||||
\(743\) | 5.14294e44i | 0.0596198i | 0.999556 | + | 0.0298099i | \(0.00949019\pi\) | ||||
−0.999556 | + | 0.0298099i | \(0.990510\pi\) | |||||||
\(744\) | −3.36207e45 | − | 8.33529e45i | −0.381452 | − | 0.945701i | ||||
\(745\) | 3.41119e45 | + | 5.90836e45i | 0.378797 | + | 0.656095i | ||||
\(746\) | 1.22560e46 | − | 7.07601e45i | 1.33207 | − | 0.769073i | ||||
\(747\) | 4.09851e45 | − | 1.42311e46i | 0.436010 | − | 1.51394i | ||||
\(748\) | 1.59881e46 | 1.66483 | ||||||||
\(749\) | 1.53478e46 | + | 8.53754e45i | 1.56436 | + | 0.870210i | ||||
\(750\) | −1.40077e46 | − | 1.09570e46i | −1.39761 | − | 1.09323i | ||||
\(751\) | −1.85910e45 | + | 3.22006e45i | −0.181578 | + | 0.314503i | −0.942418 | − | 0.334437i | \(-0.891454\pi\) |
0.760840 | + | 0.648940i | \(0.224787\pi\) | |||||||
\(752\) | −3.89164e44 | + | 2.24684e44i | −0.0372089 | + | 0.0214826i | ||||
\(753\) | −6.21269e45 | − | 8.76800e44i | −0.581514 | − | 0.0820693i | ||||
\(754\) | −1.43935e45 | + | 2.49303e45i | −0.131894 | + | 0.228447i | ||||
\(755\) | 9.41408e45i | 0.844552i | ||||||||
\(756\) | 2.04935e46 | − | 2.44904e45i | 1.79998 | − | 0.215103i | ||||
\(757\) | −7.01909e45 | −0.603596 | −0.301798 | − | 0.953372i | \(-0.597587\pi\) | ||||
−0.301798 | + | 0.953372i | \(0.597587\pi\) | |||||||
\(758\) | 6.84960e45 | + | 3.95462e45i | 0.576711 | + | 0.332964i | ||||
\(759\) | −3.23925e45 | + | 2.29522e46i | −0.267040 | + | 1.89215i | ||||
\(760\) | 3.43340e44 | + | 5.94683e44i | 0.0277145 | + | 0.0480030i | ||||
\(761\) | 1.31279e46 | + | 7.57940e45i | 1.03763 | + | 0.599074i | 0.919160 | − | 0.393884i | \(-0.128869\pi\) |
0.118467 | + | 0.992958i | \(0.462202\pi\) | |||||||
\(762\) | −1.16855e45 | + | 1.49390e45i | −0.0904417 | + | 0.115622i | ||||
\(763\) | −6.39235e45 | − | 1.06749e46i | −0.484471 | − | 0.809042i | ||||
\(764\) | − | 3.73508e46i | − | 2.77208i | ||||||
\(765\) | 5.05309e45 | + | 1.45527e45i | 0.367260 | + | 0.105770i | ||||
\(766\) | 1.97959e45 | + | 3.42875e45i | 0.140901 | + | 0.244048i | ||||
\(767\) | −8.86328e45 | + | 5.11722e45i | −0.617830 | + | 0.356704i | ||||
\(768\) | −2.21984e46 | + | 8.95380e45i | −1.51545 | + | 0.611262i | ||||
\(769\) | −2.80813e45 | −0.187757 | −0.0938785 | − | 0.995584i | \(-0.529927\pi\) | ||||
−0.0938785 | + | 0.995584i | \(0.529927\pi\) | |||||||
\(770\) | 2.64942e46 | + | 1.47379e46i | 1.73500 | + | 0.965129i | ||||
\(771\) | −7.30181e45 | + | 9.33476e45i | −0.468339 | + | 0.598733i | ||||
\(772\) | 2.44889e46 | − | 4.24160e46i | 1.53848 | − | 2.66473i | ||||
\(773\) | 8.08222e45 | − | 4.66627e45i | 0.497346 | − | 0.287143i | −0.230271 | − | 0.973127i | \(-0.573961\pi\) |
0.727617 | + | 0.685984i | \(0.240628\pi\) | |||||||
\(774\) | 2.49477e46 | + | 2.58939e46i | 1.50375 | + | 1.56078i | ||||
\(775\) | −3.21408e45 | + | 5.56695e45i | −0.189771 | + | 0.328693i | ||||
\(776\) | 2.47028e46i | 1.42876i | ||||||||
\(777\) | 1.06206e46 | + | 8.03787e45i | 0.601747 | + | 0.455412i | ||||
\(778\) | −2.77681e46 | −1.54125 | ||||||||
\(779\) | 4.35873e44 | + | 2.51652e44i | 0.0237007 | + | 0.0136836i | ||||
\(780\) | 1.43152e46 | + | 2.02031e45i | 0.762577 | + | 0.107623i | ||||
\(781\) | 2.27344e46 | + | 3.93771e46i | 1.18650 | + | 2.05508i | ||||
\(782\) | −1.75246e46 | − | 1.01179e46i | −0.896068 | − | 0.517345i | ||||
\(783\) | 4.73491e45 | + | 2.11797e45i | 0.237205 | + | 0.106104i | ||||
\(784\) | −4.55358e45 | + | 8.50240e45i | −0.223509 | + | 0.417335i | ||||
\(785\) | 1.96525e46i | 0.945157i | ||||||||
\(786\) | −6.65736e45 | + | 2.68527e45i | −0.313719 | + | 0.126540i | ||||
\(787\) | −1.41686e46 | − | 2.45408e46i | −0.654233 | − | 1.13316i | −0.982086 | − | 0.188436i | \(-0.939658\pi\) |
0.327853 | − | 0.944729i | \(-0.393675\pi\) | |||||||
\(788\) | −3.03174e46 | + | 1.75037e46i | −1.37174 | + | 0.791974i | ||||
\(789\) | −9.84265e45 | − | 2.44020e46i | −0.436395 | − | 1.08192i | ||||
\(790\) | 3.02126e46 | 1.31267 | ||||||||
\(791\) | −9.82559e43 | − | 6.15842e45i | −0.00418345 | − | 0.262208i | ||||
\(792\) | −1.32683e46 | − | 5.34796e46i | −0.553622 | − | 2.23144i | ||||
\(793\) | 1.09062e46 | − | 1.88901e46i | 0.445968 | − | 0.772439i | ||||
\(794\) | −4.06920e46 | + | 2.34935e46i | −1.63073 | + | 0.941500i | ||||
\(795\) | −1.57677e45 | + | 1.11724e46i | −0.0619291 | + | 0.438808i | ||||
\(796\) | −3.60502e46 | + | 6.24408e46i | −1.38771 | + | 2.40359i | ||||
\(797\) | − | 3.18915e46i | − | 1.20321i | −0.798793 | − | 0.601606i | \(-0.794528\pi\) | ||
0.798793 | − | 0.601606i | \(-0.205472\pi\) | |||||||
\(798\) | 1.02162e45 | + | 2.42075e45i | 0.0377783 | + | 0.0895167i | ||||
\(799\) | −1.36343e45 | −0.0494180 | ||||||||
\(800\) | 7.03940e45 | + | 4.06420e45i | 0.250090 | + | 0.144389i | ||||
\(801\) | 2.49915e46 | + | 2.59394e46i | 0.870307 | + | 0.903317i | ||||
\(802\) | 5.12143e45 | + | 8.87058e45i | 0.174824 | + | 0.302804i | ||||
\(803\) | −3.77225e46 | − | 2.17791e46i | −1.26227 | − | 0.728770i | ||||
\(804\) | 1.40048e46 | + | 1.09548e46i | 0.459390 | + | 0.359343i | ||||
\(805\) | −1.27051e46 | − | 2.12169e46i | −0.408549 | − | 0.682256i | ||||
\(806\) | − | 2.40893e46i | − | 0.759388i | ||||||
\(807\) | 2.80310e45 | + | 6.94947e45i | 0.0866286 | + | 0.214771i | ||||
\(808\) | −3.53316e46 | − | 6.11962e46i | −1.07049 | − | 1.85414i | ||||
\(809\) | 2.15287e46 | − | 1.24296e46i | 0.639501 | − | 0.369216i | −0.144921 | − | 0.989443i | \(-0.546293\pi\) |
0.784422 | + | 0.620227i | \(0.212960\pi\) | |||||||
\(810\) | 1.50402e45 | − | 4.03916e46i | 0.0438019 | − | 1.17633i | ||||
\(811\) | 7.25755e45 | 0.207232 | 0.103616 | − | 0.994617i | \(-0.466959\pi\) | ||||
0.103616 | + | 0.994617i | \(0.466959\pi\) | |||||||
\(812\) | −1.44354e46 | + | 8.64425e45i | −0.404142 | + | 0.242009i | ||||
\(813\) | −3.11346e46 | − | 2.43540e46i | −0.854662 | − | 0.668531i | ||||
\(814\) | 3.96538e46 | − | 6.86825e46i | 1.06732 | − | 1.84865i | ||||
\(815\) | 1.55470e46 | − | 8.97606e45i | 0.410322 | − | 0.236899i | ||||
\(816\) | 9.86321e45 | + | 1.39200e45i | 0.255256 | + | 0.0360243i | ||||
\(817\) | −1.47505e45 | + | 2.55486e45i | −0.0374329 | + | 0.0648356i | ||||
\(818\) | 4.44030e46i | 1.10499i | ||||||||
\(819\) | 2.39404e46 | + | 6.48301e45i | 0.584237 | + | 0.158210i | ||||
\(820\) | 2.51151e46 | 0.601054 | ||||||||
\(821\) | 3.79652e46 | + | 2.19192e46i | 0.891036 | + | 0.514440i | 0.874281 | − | 0.485420i | \(-0.161333\pi\) |
0.0167546 | + | 0.999860i | \(0.494667\pi\) | |||||||
\(822\) | −1.49247e46 | + | 1.05751e47i | −0.343524 | + | 2.43409i | ||||
\(823\) | 1.26336e46 | + | 2.18820e46i | 0.285186 | + | 0.493957i | 0.972654 | − | 0.232258i | \(-0.0746113\pi\) |
−0.687468 | + | 0.726214i | \(0.741278\pi\) | |||||||
\(824\) | −6.42574e46 | − | 3.70990e46i | −1.42262 | − | 0.821347i | ||||
\(825\) | −2.42804e46 | + | 3.10405e46i | −0.527221 | + | 0.674009i | ||||
\(826\) | −9.28060e46 | + | 1.48069e45i | −1.97649 | + | 0.0315344i | ||||
\(827\) | − | 1.68042e46i | − | 0.351019i | −0.984478 | − | 0.175510i | \(-0.943843\pi\) | ||
0.984478 | − | 0.175510i | \(-0.0561573\pi\) | |||||||
\(828\) | −2.77426e46 | + | 9.63294e46i | −0.568409 | + | 1.97366i | ||||
\(829\) | −2.42880e46 | − | 4.20681e46i | −0.488112 | − | 0.845435i | 0.511794 | − | 0.859108i | \(-0.328981\pi\) |
−0.999907 | + | 0.0136727i | \(0.995648\pi\) | |||||||
\(830\) | 8.14746e46 | − | 4.70394e46i | 1.60610 | − | 0.927283i | ||||
\(831\) | 6.32442e46 | − | 2.55098e46i | 1.22294 | − | 0.493277i | ||||
\(832\) | −4.55678e46 | −0.864340 | ||||||||
\(833\) | −2.48637e46 | + | 1.54330e46i | −0.462642 | + | 0.287165i | ||||
\(834\) | −8.88554e46 | + | 1.13594e47i | −1.62191 | + | 2.07348i | ||||
\(835\) | 9.79417e45 | − | 1.69640e46i | 0.175382 | − | 0.303770i | ||||
\(836\) | 8.73203e45 | − | 5.04144e45i | 0.153396 | − | 0.0885634i | ||||
\(837\) | −4.31757e46 | + | 4.46226e45i | −0.744101 | + | 0.0769038i | ||||
\(838\) | −4.23382e46 | + | 7.33318e46i | −0.715859 | + | 1.23990i | ||||
\(839\) | 3.32542e46i | 0.551639i | 0.961209 | + | 0.275819i | \(0.0889492\pi\) | ||||
−0.961209 | + | 0.275819i | \(0.911051\pi\) | |||||||
\(840\) | 4.68755e46 | + | 3.54762e46i | 0.762917 | + | 0.577388i | ||||
\(841\) | 5.83947e46 | 0.932476 | ||||||||
\(842\) | −5.03444e46 | − | 2.90663e46i | −0.788783 | − | 0.455404i | ||||
\(843\) | −5.17036e46 | − | 7.29694e45i | −0.794839 | − | 0.112176i | ||||
\(844\) | −6.11651e46 | − | 1.05941e47i | −0.922623 | − | 1.59803i | ||||
\(845\) | −2.60220e46 | − | 1.50238e46i | −0.385153 | − | 0.222368i | ||||
\(846\) | 2.52361e45 | + | 1.01717e46i | 0.0366519 | + | 0.147730i | ||||
\(847\) | 6.29184e46 | − | 1.13107e47i | 0.896691 | − | 1.61197i | ||||
\(848\) | 2.13733e46i | 0.298909i | ||||||||
\(849\) | 4.34835e46 | − | 1.75392e46i | 0.596763 | − | 0.240707i | ||||
\(850\) | −1.72018e46 | − | 2.97945e46i | −0.231671 | − | 0.401266i | ||||
\(851\) | −5.60246e46 | + | 3.23458e46i | −0.740467 | + | 0.427509i | ||||
\(852\) | 7.35567e46 | + | 1.82363e47i | 0.954089 | + | 2.36539i | ||||
\(853\) | −6.56330e46 | −0.835483 | −0.417742 | − | 0.908566i | \(-0.637178\pi\) | ||||
−0.417742 | + | 0.908566i | \(0.637178\pi\) | |||||||
\(854\) | 1.69718e47 | − | 1.01631e47i | 2.12032 | − | 1.26969i | ||||
\(855\) | 3.21867e45 | − | 7.98554e44i | 0.0394656 | − | 0.00979144i | ||||
\(856\) | 1.01386e47 | − | 1.75605e47i | 1.22010 | − | 2.11328i | ||||
\(857\) | 7.95049e46 | − | 4.59022e46i | 0.939076 | − | 0.542176i | 0.0494052 | − | 0.998779i | \(-0.484267\pi\) |
0.889670 | + | 0.456603i | \(0.150934\pi\) | |||||||
\(858\) | 2.06380e46 | − | 1.46234e47i | 0.239261 | − | 1.69532i | ||||
\(859\) | −3.07736e46 | + | 5.33014e46i | −0.350177 | + | 0.606525i | −0.986280 | − | 0.165079i | \(-0.947212\pi\) |
0.636103 | + | 0.771604i | \(0.280545\pi\) | |||||||
\(860\) | 1.47211e47i | 1.64424i | ||||||||
\(861\) | 4.27555e46 | + | 5.33993e45i | 0.468751 | + | 0.0585443i | ||||
\(862\) | 1.22656e47 | 1.31999 | ||||||||
\(863\) | −1.15817e47 | − | 6.68671e46i | −1.22349 | − | 0.706383i | −0.257830 | − | 0.966190i | \(-0.583008\pi\) |
−0.965660 | + | 0.259808i | \(0.916341\pi\) | |||||||
\(864\) | 5.64252e45 | + | 5.45956e46i | 0.0585132 | + | 0.566158i | ||||
\(865\) | 2.40374e46 | + | 4.16340e46i | 0.244698 | + | 0.423829i | ||||
\(866\) | 7.54829e46 | + | 4.35801e46i | 0.754332 | + | 0.435514i | ||||
\(867\) | −5.64813e46 | − | 4.41806e46i | −0.554114 | − | 0.433437i | ||||
\(868\) | 6.84458e46 | − | 1.23044e47i | 0.659221 | − | 1.18507i | ||||
\(869\) | − | 1.98907e47i | − | 1.88076i | ||||||
\(870\) | 1.23260e46 | + | 3.05588e46i | 0.114423 | + | 0.283680i | ||||
\(871\) | 1.06835e46 | + | 1.85044e46i | 0.0973698 | + | 0.168649i | ||||
\(872\) | −1.24410e47 | + | 7.18283e46i | −1.11325 | + | 0.642735i | ||||
\(873\) | 1.14640e47 | + | 3.30160e46i | 1.00718 | + | 0.290066i | ||||
\(874\) | −1.27617e46 | −0.110084 | ||||||||
\(875\) | −1.99271e45 | − | 1.24898e47i | −0.0168778 | − | 1.05785i | ||||
\(876\) | −1.48375e47 | − | 1.16061e47i | −1.23394 | − | 0.965210i | ||||
\(877\) | −6.83325e46 | + | 1.18355e47i | −0.558000 | + | 0.966484i | 0.439664 | + | 0.898163i | \(0.355098\pi\) |
−0.997663 | + | 0.0683215i | \(0.978236\pi\) | |||||||
\(878\) | −2.64795e47 | + | 1.52880e47i | −2.12323 | + | 1.22585i | ||||
\(879\) | −2.15012e47 | − | 3.03448e46i | −1.69294 | − | 0.238925i | ||||
\(880\) | 3.62418e46 | − | 6.27727e46i | 0.280212 | − | 0.485342i | ||||
\(881\) | − | 9.25760e46i | − | 0.702885i | −0.936210 | − | 0.351442i | \(-0.885691\pi\) | ||
0.936210 | − | 0.351442i | \(-0.114309\pi\) | |||||||
\(882\) | 1.61157e47 | + | 1.56927e47i | 1.20158 | + | 1.17004i | ||||
\(883\) | 6.29615e46 | 0.461003 | 0.230502 | − | 0.973072i | \(-0.425963\pi\) | ||||
0.230502 | + | 0.973072i | \(0.425963\pi\) | |||||||
\(884\) | 7.19588e46 | + | 4.15454e46i | 0.517425 | + | 0.298736i | ||||
\(885\) | −1.63710e46 | + | 1.15999e47i | −0.115607 | + | 0.819148i | ||||
\(886\) | 9.91496e46 | + | 1.71732e47i | 0.687625 | + | 1.19100i | ||||
\(887\) | −1.19532e47 | − | 6.90118e46i | −0.814153 | − | 0.470051i | 0.0342432 | − | 0.999414i | \(-0.489098\pi\) |
−0.848396 | + | 0.529362i | \(0.822431\pi\) | |||||||
\(888\) | 9.47467e46 | − | 1.21126e47i | 0.633807 | − | 0.810270i | ||||
\(889\) | −1.33202e46 | + | 2.12519e44i | −0.0875148 | + | 0.00139627i | ||||
\(890\) | 2.28820e47i | 1.47657i | ||||||||
\(891\) | −2.65921e47 | − | 9.90180e45i | −1.68542 | − | 0.0627583i | ||||
\(892\) | 1.65638e47 | + | 2.86894e47i | 1.03115 | + | 1.78601i | ||||
\(893\) | −7.44652e44 | + | 4.29925e44i | −0.00455334 | + | 0.00262887i | ||||
\(894\) | 2.79518e47 | − | 1.12745e47i | 1.67884 | − | 0.677166i | ||||
\(895\) | −4.92704e46 | −0.290681 | ||||||||
\(896\) | −2.75318e47 | − | 1.53151e47i | −1.59553 | − | 0.887550i | ||||
\(897\) | −7.42210e46 | + | 9.48854e46i | −0.422520 | + | 0.540157i | ||||
\(898\) | −1.05308e47 | + | 1.82399e47i | −0.588899 | + | 1.02000i | ||||
\(899\) | 3.06447e46 | − | 1.76927e46i | 0.168345 | − | 0.0971939i | ||||
\(900\) | −1.22734e47 | + | 1.18249e47i | −0.662348 | + | 0.638144i | ||||
\(901\) | −3.24246e46 | + | 5.61610e46i | −0.171901 | + | 0.297741i | ||||
\(902\) | − | 2.56558e47i | − | 1.33623i | ||||||
\(903\) | −3.12998e46 | + | 2.50610e47i | −0.160154 | + | 1.28232i | ||||
\(904\) | −7.11120e46 | −0.357477 | ||||||||
\(905\) | 1.54915e47 | + | 8.94402e46i | 0.765097 | + | 0.441729i | ||||
\(906\) | 4.11814e47 | + | 5.81194e46i | 1.99825 | + | 0.282014i | ||||
\(907\) | −1.18357e46 | − | 2.05001e46i | −0.0564259 | − | 0.0977326i | 0.836433 | − | 0.548070i | \(-0.184637\pi\) |
−0.892859 | + | 0.450337i | \(0.851304\pi\) | |||||||
\(908\) | 2.76183e47 | + | 1.59455e47i | 1.29367 | + | 0.746902i | ||||
\(909\) | −3.31219e47 | + | 8.21757e46i | −1.52438 | + | 0.378200i | ||||
\(910\) | 8.09474e46 | + | 1.35178e47i | 0.366050 | + | 0.611285i | ||||
\(911\) | − | 3.81796e47i | − | 1.69644i | −0.529647 | − | 0.848218i | \(-0.677676\pi\) | ||
0.529647 | − | 0.848218i | \(-0.322324\pi\) | |||||||
\(912\) | 5.82582e45 | − | 2.34987e45i | 0.0254354 | − | 0.0102595i | ||||
\(913\) | −3.09687e47 | − | 5.36393e47i | −1.32859 | − | 2.30118i | ||||
\(914\) | 4.89738e47 | − | 2.82750e47i | 2.06455 | − | 1.19197i | ||||
\(915\) | −9.33966e46 | − | 2.31550e47i | −0.386896 | − | 0.959196i | ||||
\(916\) | 1.51053e46 | 0.0614898 | ||||||||
\(917\) | −4.40628e46 | − | 2.45109e46i | −0.176264 | − | 0.0980505i | ||||
\(918\) | 9.48562e46 | − | 2.12060e47i | 0.372892 | − | 0.833635i | ||||
\(919\) | 1.43861e47 | − | 2.49175e47i | 0.555771 | − | 0.962623i | −0.442072 | − | 0.896979i | \(-0.645757\pi\) |
0.997843 | − | 0.0656438i | \(-0.0209101\pi\) | |||||||
\(920\) | −2.47272e47 | + | 1.42762e47i | −0.938791 | + | 0.542011i | ||||
\(921\) | −4.44983e46 | + | 3.15299e47i | −0.166031 | + | 1.17644i | ||||
\(922\) | −2.11787e47 | + | 3.66826e47i | −0.776612 | + | 1.34513i | ||||
\(923\) | 2.36304e47i | 0.851616i | ||||||||
\(924\) | 5.20915e47 | − | 6.88297e47i | 1.84508 | − | 2.43795i | ||||
\(925\) | −1.09985e47 | −0.382883 | ||||||||
\(926\) | 3.03895e47 | + | 1.75454e47i | 1.03980 | + | 0.600326i | ||||
\(927\) | −2.58050e47 | + | 2.48620e47i | −0.867817 | + | 0.836104i | ||||
\(928\) | −2.23724e46 | − | 3.87501e46i | −0.0739511 | − | 0.128087i | ||||
\(929\) | 1.64530e47 | + | 9.49915e46i | 0.534557 | + | 0.308627i | 0.742870 | − | 0.669436i | \(-0.233464\pi\) |
−0.208313 | + | 0.978062i | \(0.566797\pi\) | |||||||
\(930\) | −2.17187e47 | − | 1.69887e47i | −0.693596 | − | 0.542543i | ||||
\(931\) | −8.71311e45 | + | 1.62690e46i | −0.0273513 | + | 0.0510701i | ||||
\(932\) | 1.01256e48i | 3.12439i | ||||||||
\(933\) | −7.88038e46 | − | 1.95371e47i | −0.239024 | − | 0.592591i | ||||
\(934\) | −2.41508e47 | − | 4.18305e47i | −0.720082 | − | 1.24722i | ||||
\(935\) | 1.90459e47 | − | 1.09962e47i | 0.558234 | − | 0.322297i | ||||
\(936\) | 7.92505e46 | − | 2.75178e47i | 0.228343 | − | 0.792867i | ||||
\(937\) | 5.14598e47 | 1.45759 | 0.728794 | − | 0.684733i | \(-0.240081\pi\) | ||||
0.728794 | + | 0.684733i | \(0.240081\pi\) | |||||||
\(938\) | 3.09133e45 | + | 1.93757e47i | 0.00860797 | + | 0.539525i | ||||
\(939\) | 1.54536e47 | + | 1.20880e47i | 0.423037 | + | 0.330907i | ||||
\(940\) | −2.14535e46 | + | 3.71585e46i | −0.0577367 | + | 0.100003i | ||||
\(941\) | 4.53000e47 | − | 2.61540e47i | 1.19857 | − | 0.691996i | 0.238335 | − | 0.971183i | \(-0.423398\pi\) |
0.960237 | + | 0.279187i | \(0.0900650\pi\) | |||||||
\(942\) | 8.59690e47 | + | 1.21328e47i | 2.23629 | + | 0.315608i | ||||
\(943\) | −1.04638e47 | + | 1.81238e47i | −0.267609 | + | 0.463513i | ||||
\(944\) | 2.21911e47i | 0.557991i | ||||||||
\(945\) | 2.27287e47 | − | 1.70124e47i | 0.561909 | − | 0.420587i | ||||
\(946\) | 1.50381e48 | 3.65539 | ||||||||
\(947\) | −2.94688e47 | − | 1.70138e47i | −0.704307 | − | 0.406632i | 0.104642 | − | 0.994510i | \(-0.466630\pi\) |
−0.808950 | + | 0.587878i | \(0.799964\pi\) | |||||||
\(948\) | 1.20210e47 | − | 8.51768e47i | 0.282494 | − | 2.00165i | ||||
\(949\) | −1.13187e47 | − | 1.96046e47i | −0.261539 | − | 0.453000i | ||||
\(950\) | −1.87899e46 | − | 1.08484e46i | −0.0426920 | − | 0.0246483i | ||||
\(951\) | 2.41295e46 | − | 3.08476e46i | 0.0539089 | − | 0.0689181i | ||||
\(952\) | 1.73582e47 | + | 2.89873e47i | 0.381341 | + | 0.636820i | ||||
\(953\) | 4.65506e47i | 1.00563i | 0.864394 | + | 0.502816i | \(0.167703\pi\) | ||||
−0.864394 | + | 0.502816i | \(0.832297\pi\) | |||||||
\(954\) | 4.78998e47 | + | 1.37950e47i | 1.01756 | + | 0.293054i | ||||
\(955\) | −2.56889e47 | − | 4.44945e47i | −0.536650 | − | 0.929506i | ||||
\(956\) | 4.45377e47 | − | 2.57138e47i | 0.914958 | − | 0.528251i | ||||
\(957\) | 2.01186e47 | − | 8.11491e46i | 0.406449 | − | 0.163943i | ||||
\(958\) | −1.34861e48 | −2.67940 | ||||||||
\(959\) | −6.43583e47 | + | 3.85391e47i | −1.25750 | + | 0.753015i | ||||
\(960\) | −3.21362e47 | + | 4.10834e47i | −0.617525 | + | 0.789455i | ||||
\(961\) | 1.16517e47 | − | 2.01814e47i | 0.220199 | − | 0.381397i | ||||
\(962\) | 3.56946e47 | − | 2.06083e47i | 0.663440 | − | 0.383037i | ||||
\(963\) | −6.79440e47 | − | 7.05210e47i | −1.24202 | − | 1.28913i | ||||
\(964\) | −3.20374e47 | + | 5.54904e47i | −0.576003 | + | 0.997666i | ||||
\(965\) | − | 6.73712e47i | − | 1.19135i | ||||||
\(966\) | −1.00656e48 | + | 4.24793e47i | −1.75067 | + | 0.738827i | ||||
\(967\) | −4.38891e47 | −0.750816 | −0.375408 | − | 0.926860i | \(-0.622497\pi\) | ||||
−0.375408 | + | 0.926860i | \(0.622497\pi\) | |||||||
\(968\) | −1.29414e48 | − | 7.47174e47i | −2.17759 | − | 1.25723i | ||||
\(969\) | 1.88729e46 | + | 2.66354e45i | 0.0312362 | + | 0.00440838i | ||||
\(970\) | 3.78932e47 | + | 6.56329e47i | 0.616898 | + | 1.06850i | ||||
\(971\) | 4.57274e47 | + | 2.64007e47i | 0.732266 | + | 0.422774i | 0.819251 | − | 0.573436i | \(-0.194390\pi\) |
−0.0869847 | + | 0.996210i | \(0.527723\pi\) | |||||||
\(972\) | −1.13276e48 | − | 2.03113e47i | −1.78433 | − | 0.319946i | ||||
\(973\) | −1.01285e48 | + | 1.61597e46i | −1.56942 | + | 0.0250397i | ||||
\(974\) | 1.05425e48i | 1.60694i | ||||||||
\(975\) | −1.89940e47 | + | 7.66132e46i | −0.284802 | + | 0.114876i | ||||
\(976\) | −2.36477e47 | − | 4.09590e47i | −0.348813 | − | 0.604161i | ||||
\(977\) | 5.95585e47 | − | 3.43861e47i | 0.864232 | − | 0.498965i | −0.00119490 | − | 0.999999i | \(-0.500380\pi\) |
0.865427 | + | 0.501034i | \(0.167047\pi\) | |||||||
\(978\) | −2.96671e47 | − | 7.35510e47i | −0.423500 | − | 1.04995i | ||||
\(979\) | 1.50645e48 | 2.11559 | ||||||||
\(980\) | 2.93789e46 | + | 9.20463e47i | 0.0405900 | + | 1.27171i | ||||
\(981\) | 1.67061e47 | + | 6.73361e47i | 0.227076 | + | 0.915259i | ||||
\(982\) | 2.63604e47 | − | 4.56575e47i | 0.352507 | − | 0.610560i | ||||
\(983\) | 2.04571e47 | − | 1.18109e47i | 0.269147 | − | 0.155392i | −0.359353 | − | 0.933202i | \(-0.617003\pi\) |
0.628500 | + | 0.777810i | \(0.283669\pi\) | |||||||
\(984\) | 6.95200e46 | − | 4.92594e47i | 0.0899887 | − | 0.637628i | ||||
\(985\) | −2.40772e47 | + | 4.17030e47i | −0.306638 | + | 0.531113i | ||||
\(986\) | 1.89384e47i | 0.237308i | ||||||||
\(987\) | −4.44226e46 | + | 5.86966e46i | −0.0547684 | + | 0.0723667i | ||||
\(988\) | 5.24013e46 | 0.0635669 | ||||||||
\(989\) | −1.06232e48 | − | 6.13331e47i | −1.26799 | − | 0.732073i | ||||
\(990\) | −1.17288e48 | − | 1.21737e48i | −1.37750 | − | 1.42975i | ||||
\(991\) | 5.33810e47 | + | 9.24586e47i | 0.616891 | + | 1.06849i | 0.990050 | + | 0.140719i | \(0.0449413\pi\) |
−0.373159 | + | 0.927767i | \(0.621725\pi\) | |||||||
\(992\) | 3.24266e47 | + | 1.87215e47i | 0.368735 | + | 0.212889i | ||||
\(993\) | 1.34414e48 | + | 1.05141e48i | 1.50404 | + | 1.17648i | ||||
\(994\) | −1.04180e48 | + | 1.87282e48i | −1.14710 | + | 2.06212i | ||||
\(995\) | 9.91776e47i | 1.07459i | ||||||||
\(996\) | −1.00199e48 | − | 2.48413e48i | −1.06835 | − | 2.64866i | ||||
\(997\) | 3.45879e47 | + | 5.99080e47i | 0.362912 | + | 0.628583i | 0.988439 | − | 0.151620i | \(-0.0484491\pi\) |
−0.625526 | + | 0.780203i | \(0.715116\pi\) | |||||||
\(998\) | −1.00657e48 | + | 5.81143e47i | −1.03933 | + | 0.600060i | ||||
\(999\) | −4.35486e47 | − | 6.01587e47i | −0.442514 | − | 0.611294i |
(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 | 21.33.h.b.2.8 | ✓ | 164 | |
3.2 | odd | 2 | inner | 21.33.h.b.2.75 | yes | 164 | |
7.4 | even | 3 | inner | 21.33.h.b.11.75 | yes | 164 | |
21.11 | odd | 6 | inner | 21.33.h.b.11.8 | yes | 164 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.33.h.b.2.8 | ✓ | 164 | 1.1 | even | 1 | trivial | |
21.33.h.b.2.75 | yes | 164 | 3.2 | odd | 2 | inner | |
21.33.h.b.11.8 | yes | 164 | 21.11 | odd | 6 | inner | |
21.33.h.b.11.75 | yes | 164 | 7.4 | even | 3 | inner |