Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,14,Mod(3,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.3");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.c (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.7954021847\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 3.2 | ||
Character | \(\chi\) | \(=\) | 11.3 |
Dual form | 11.14.c.a.4.2 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −101.017 | + | 73.3929i | −1.11609 | + | 0.810885i | −0.983611 | − | 0.180302i | \(-0.942293\pi\) |
−0.132476 | + | 0.991186i | \(0.542293\pi\) | |||||||
\(3\) | 277.356 | + | 853.615i | 0.219659 | + | 0.676042i | 0.998790 | + | 0.0491804i | \(0.0156609\pi\) |
−0.779130 | + | 0.626862i | \(0.784339\pi\) | |||||||
\(4\) | 2286.38 | − | 7036.76i | 0.279099 | − | 0.858979i | ||||
\(5\) | 21001.8 | + | 15258.7i | 0.601106 | + | 0.436729i | 0.846271 | − | 0.532752i | \(-0.178842\pi\) |
−0.245165 | + | 0.969481i | \(0.578842\pi\) | |||||||
\(6\) | −90666.9 | − | 65873.3i | −0.793351 | − | 0.576403i | ||||
\(7\) | 183952. | − | 566147.i | 0.590974 | − | 1.81883i | 0.0171479 | − | 0.999853i | \(-0.494541\pi\) |
0.573826 | − | 0.818977i | \(-0.305459\pi\) | |||||||
\(8\) | −30602.4 | − | 94184.4i | −0.0412734 | − | 0.127026i | ||||
\(9\) | 638103. | − | 463609.i | 0.400234 | − | 0.290787i | ||||
\(10\) | −3.24141e6 | −1.02502 | ||||||||
\(11\) | −849264. | + | 5.81390e6i | −0.144541 | + | 0.989499i | ||||
\(12\) | 6.64082e6 | 0.642013 | ||||||||
\(13\) | 2.14624e7 | − | 1.55933e7i | 1.23324 | − | 0.895999i | 0.236108 | − | 0.971727i | \(-0.424128\pi\) |
0.997129 | + | 0.0757279i | \(0.0241280\pi\) | |||||||
\(14\) | 2.29689e7 | + | 7.06911e7i | 0.815283 | + | 2.50918i | ||||
\(15\) | −7.20007e6 | + | 2.21595e7i | −0.163209 | + | 0.502305i | ||||
\(16\) | 5.90397e7 | + | 4.28948e7i | 0.879760 | + | 0.639183i | ||||
\(17\) | −3.88257e7 | − | 2.82085e7i | −0.390123 | − | 0.283441i | 0.375383 | − | 0.926870i | \(-0.377511\pi\) |
−0.765506 | + | 0.643429i | \(0.777511\pi\) | |||||||
\(18\) | −3.04334e7 | + | 9.36644e7i | −0.210901 | + | 0.649087i | ||||
\(19\) | 4.38147e6 | + | 1.34848e7i | 0.0213659 | + | 0.0657575i | 0.961171 | − | 0.275954i | \(-0.0889936\pi\) |
−0.939805 | + | 0.341711i | \(0.888994\pi\) | |||||||
\(20\) | 1.55390e8 | − | 1.12897e8i | 0.542909 | − | 0.394447i | ||||
\(21\) | 5.34292e8 | 1.35942 | ||||||||
\(22\) | −3.40909e8 | − | 6.49631e8i | −0.641049 | − | 1.22157i | ||||
\(23\) | −4.20704e8 | −0.592578 | −0.296289 | − | 0.955098i | \(-0.595749\pi\) | ||||
−0.296289 | + | 0.955098i | \(0.595749\pi\) | |||||||
\(24\) | 7.19094e7 | − | 5.22453e7i | 0.0768091 | − | 0.0558051i | ||||
\(25\) | −1.68971e8 | − | 5.20038e8i | −0.138421 | − | 0.426016i | ||||
\(26\) | −1.02362e9 | + | 3.15038e9i | −0.649848 | + | 2.00003i | ||||
\(27\) | 1.73041e9 | + | 1.25721e9i | 0.859575 | + | 0.624518i | ||||
\(28\) | −3.56326e9 | − | 2.58886e9i | −1.39740 | − | 1.01527i | ||||
\(29\) | 3.80324e8 | − | 1.17052e9i | 0.118732 | − | 0.365419i | −0.873975 | − | 0.485970i | \(-0.838466\pi\) |
0.992707 | + | 0.120551i | \(0.0384663\pi\) | |||||||
\(30\) | −8.99025e8 | − | 2.76691e9i | −0.225156 | − | 0.692959i | ||||
\(31\) | 3.92163e9 | − | 2.84923e9i | 0.793625 | − | 0.576602i | −0.115412 | − | 0.993318i | \(-0.536819\pi\) |
0.909037 | + | 0.416716i | \(0.136819\pi\) | |||||||
\(32\) | −8.30090e9 | −1.36663 | ||||||||
\(33\) | −5.19838e9 | + | 8.87578e8i | −0.700693 | + | 0.119637i | ||||
\(34\) | 5.99235e9 | 0.665249 | ||||||||
\(35\) | 1.25020e10 | − | 9.08323e9i | 1.14957 | − | 0.835214i | ||||
\(36\) | −1.80336e9 | − | 5.55016e9i | −0.138075 | − | 0.424951i | ||||
\(37\) | −4.23621e9 | + | 1.30377e10i | −0.271435 | + | 0.835392i | 0.718705 | + | 0.695315i | \(0.244735\pi\) |
−0.990141 | + | 0.140077i | \(0.955265\pi\) | |||||||
\(38\) | −1.43229e9 | − | 1.04062e9i | −0.0771680 | − | 0.0560658i | ||||
\(39\) | 1.92634e10 | + | 1.39957e10i | 0.876625 | + | 0.636905i | ||||
\(40\) | 7.94426e8 | − | 2.44499e9i | 0.0306664 | − | 0.0943816i | ||||
\(41\) | 1.02766e10 | + | 3.16283e10i | 0.337875 | + | 1.03987i | 0.965288 | + | 0.261186i | \(0.0841137\pi\) |
−0.627413 | + | 0.778686i | \(0.715886\pi\) | |||||||
\(42\) | −5.39724e10 | + | 3.92132e10i | −1.51723 | + | 1.10233i | ||||
\(43\) | 4.23230e10 | 1.02101 | 0.510507 | − | 0.859873i | \(-0.329458\pi\) | ||||
0.510507 | + | 0.859873i | \(0.329458\pi\) | |||||||
\(44\) | 3.89693e10 | + | 1.92689e10i | 0.809618 | + | 0.400326i | ||||
\(45\) | 2.04753e10 | 0.367578 | ||||||||
\(46\) | 4.24981e10 | − | 3.08767e10i | 0.661368 | − | 0.480512i | ||||
\(47\) | −7.27521e9 | − | 2.23908e10i | −0.0984486 | − | 0.302994i | 0.889689 | − | 0.456568i | \(-0.150921\pi\) |
−0.988137 | + | 0.153574i | \(0.950921\pi\) | |||||||
\(48\) | −2.02406e10 | + | 6.22943e10i | −0.238867 | + | 0.735157i | ||||
\(49\) | −2.08299e11 | − | 1.51338e11i | −2.14988 | − | 1.56198i | ||||
\(50\) | 5.52360e10 | + | 4.01313e10i | 0.499939 | + | 0.363227i | ||||
\(51\) | 1.33107e10 | − | 4.09660e10i | 0.105924 | − | 0.326000i | ||||
\(52\) | −6.06554e10 | − | 1.86678e11i | −0.425449 | − | 1.30940i | ||||
\(53\) | 2.08895e11 | − | 1.51771e11i | 1.29460 | − | 0.940582i | 0.294712 | − | 0.955586i | \(-0.404776\pi\) |
0.999887 | + | 0.0150044i | \(0.00477624\pi\) | |||||||
\(54\) | −2.67071e11 | −1.46577 | ||||||||
\(55\) | −1.06549e11 | + | 1.09144e11i | −0.519027 | + | 0.531669i | ||||
\(56\) | −5.89516e10 | −0.255431 | ||||||||
\(57\) | −1.02956e10 | + | 7.48017e9i | −0.0397616 | + | 0.0288885i | ||||
\(58\) | 4.74886e10 | + | 1.46155e11i | 0.163798 | + | 0.504117i | ||||
\(59\) | −3.48464e10 | + | 1.07246e11i | −0.107552 | + | 0.331012i | −0.990321 | − | 0.138796i | \(-0.955677\pi\) |
0.882769 | + | 0.469808i | \(0.155677\pi\) | |||||||
\(60\) | 1.39469e11 | + | 1.01330e11i | 0.385918 | + | 0.280386i | ||||
\(61\) | 2.27933e11 | + | 1.65603e11i | 0.566452 | + | 0.411551i | 0.833814 | − | 0.552045i | \(-0.186152\pi\) |
−0.267363 | + | 0.963596i | \(0.586152\pi\) | |||||||
\(62\) | −1.87036e11 | + | 5.75639e11i | −0.418196 | + | 1.28708i | ||||
\(63\) | −1.45090e11 | − | 4.46542e11i | −0.292365 | − | 0.899806i | ||||
\(64\) | 3.54876e11 | − | 2.57833e11i | 0.645516 | − | 0.468995i | ||||
\(65\) | 6.88683e11 | 1.13261 | ||||||||
\(66\) | 4.59981e11 | − | 4.71185e11i | 0.685022 | − | 0.701706i | ||||
\(67\) | −6.38926e11 | −0.862908 | −0.431454 | − | 0.902135i | \(-0.641999\pi\) | ||||
−0.431454 | + | 0.902135i | \(0.641999\pi\) | |||||||
\(68\) | −2.87267e11 | + | 2.08712e11i | −0.352353 | + | 0.255999i | ||||
\(69\) | −1.16685e11 | − | 3.59119e11i | −0.130165 | − | 0.400608i | ||||
\(70\) | −5.96265e11 | + | 1.83511e12i | −0.605762 | + | 1.86434i | ||||
\(71\) | 9.28054e11 | + | 6.74271e11i | 0.859794 | + | 0.624677i | 0.927829 | − | 0.373006i | \(-0.121673\pi\) |
−0.0680352 | + | 0.997683i | \(0.521673\pi\) | |||||||
\(72\) | −6.31921e10 | − | 4.59118e10i | −0.0534567 | − | 0.0388385i | ||||
\(73\) | 4.39118e11 | − | 1.35146e12i | 0.339611 | − | 1.04522i | −0.624794 | − | 0.780789i | \(-0.714817\pi\) |
0.964406 | − | 0.264427i | \(-0.0851828\pi\) | |||||||
\(74\) | −5.28948e11 | − | 1.62793e12i | −0.374461 | − | 1.15247i | ||||
\(75\) | 3.97047e11 | − | 2.88472e11i | 0.257599 | − | 0.187157i | ||||
\(76\) | 1.04907e11 | 0.0624475 | ||||||||
\(77\) | 3.13530e12 | + | 1.55029e12i | 1.71431 | + | 0.847663i | ||||
\(78\) | −2.97311e12 | −1.49485 | ||||||||
\(79\) | −7.04000e11 | + | 5.11486e11i | −0.325834 | + | 0.236732i | −0.738661 | − | 0.674077i | \(-0.764541\pi\) |
0.412827 | + | 0.910810i | \(0.364541\pi\) | |||||||
\(80\) | 5.85419e11 | + | 1.80174e12i | 0.249679 | + | 0.768433i | ||||
\(81\) | −2.04648e11 | + | 6.29842e11i | −0.0805109 | + | 0.247787i | ||||
\(82\) | −3.35940e12 | − | 2.44075e12i | −1.22032 | − | 0.886611i | ||||
\(83\) | 1.61641e12 | + | 1.17439e12i | 0.542680 | + | 0.394280i | 0.825079 | − | 0.565017i | \(-0.191130\pi\) |
−0.282399 | + | 0.959297i | \(0.591130\pi\) | |||||||
\(84\) | 1.22160e12 | − | 3.75968e12i | 0.379413 | − | 1.16771i | ||||
\(85\) | −3.84984e11 | − | 1.18486e12i | −0.110718 | − | 0.340756i | ||||
\(86\) | −4.27533e12 | + | 3.10621e12i | −1.13954 | + | 0.827925i | ||||
\(87\) | 1.10466e12 | 0.273119 | ||||||||
\(88\) | 5.73568e11 | − | 9.79317e10i | 0.131658 | − | 0.0224795i | ||||
\(89\) | −8.25985e11 | −0.176172 | −0.0880860 | − | 0.996113i | \(-0.528075\pi\) | ||||
−0.0880860 | + | 0.996113i | \(0.528075\pi\) | |||||||
\(90\) | −2.06835e12 | + | 1.50275e12i | −0.410249 | + | 0.298064i | ||||
\(91\) | −4.88007e12 | − | 1.50193e13i | −0.900859 | − | 2.77256i | ||||
\(92\) | −9.61889e11 | + | 2.96039e12i | −0.165388 | + | 0.509012i | ||||
\(93\) | 3.51983e12 | + | 2.55731e12i | 0.564135 | + | 0.409868i | ||||
\(94\) | 2.37824e12 | + | 1.72789e12i | 0.355570 | + | 0.258337i | ||||
\(95\) | −1.13741e11 | + | 3.50060e11i | −0.0158750 | + | 0.0488583i | ||||
\(96\) | −2.30231e12 | − | 7.08577e12i | −0.300193 | − | 0.923898i | ||||
\(97\) | −1.13002e12 | + | 8.21007e11i | −0.137743 | + | 0.100076i | −0.654523 | − | 0.756042i | \(-0.727131\pi\) |
0.516780 | + | 0.856118i | \(0.327131\pi\) | |||||||
\(98\) | 3.21489e13 | 3.66603 | ||||||||
\(99\) | 2.15346e12 | + | 4.10359e12i | 0.229883 | + | 0.438062i | ||||
\(100\) | −4.04572e12 | −0.404572 | ||||||||
\(101\) | −1.11858e13 | + | 8.12695e12i | −1.04852 | + | 0.761796i | −0.971931 | − | 0.235266i | \(-0.924404\pi\) |
−0.0765917 | + | 0.997063i | \(0.524404\pi\) | |||||||
\(102\) | 1.66202e12 | + | 5.11516e12i | 0.146128 | + | 0.449737i | ||||
\(103\) | −6.94167e12 | + | 2.13643e13i | −0.572825 | + | 1.76297i | 0.0706437 | + | 0.997502i | \(0.477495\pi\) |
−0.643469 | + | 0.765472i | \(0.722505\pi\) | |||||||
\(104\) | −2.12545e12 | − | 1.54423e12i | −0.164715 | − | 0.119673i | ||||
\(105\) | 1.12211e13 | + | 8.15260e12i | 0.817155 | + | 0.593698i | ||||
\(106\) | −9.96297e12 | + | 3.06629e13i | −0.682182 | + | 2.09954i | ||||
\(107\) | −4.67270e12 | − | 1.43811e13i | −0.301005 | − | 0.926398i | −0.981138 | − | 0.193309i | \(-0.938078\pi\) |
0.680133 | − | 0.733089i | \(-0.261922\pi\) | |||||||
\(108\) | 1.28031e13 | − | 9.30199e12i | 0.776355 | − | 0.564055i | ||||
\(109\) | −9.86224e12 | −0.563253 | −0.281626 | − | 0.959524i | \(-0.590874\pi\) | ||||
−0.281626 | + | 0.959524i | \(0.590874\pi\) | |||||||
\(110\) | 2.75281e12 | − | 1.88452e13i | 0.148158 | − | 1.01426i | ||||
\(111\) | −1.23041e13 | −0.624383 | ||||||||
\(112\) | 3.51453e13 | − | 2.55345e13i | 1.68248 | − | 1.22239i | ||||
\(113\) | −1.81801e12 | − | 5.59527e12i | −0.0821461 | − | 0.252820i | 0.901545 | − | 0.432685i | \(-0.142434\pi\) |
−0.983691 | + | 0.179865i | \(0.942434\pi\) | |||||||
\(114\) | 4.91033e11 | − | 1.51124e12i | 0.0209522 | − | 0.0644842i | ||||
\(115\) | −8.83553e12 | − | 6.41939e12i | −0.356202 | − | 0.258796i | ||||
\(116\) | −7.36708e12 | − | 5.35250e12i | −0.280749 | − | 0.203976i | ||||
\(117\) | 6.46600e12 | − | 1.99003e13i | 0.233039 | − | 0.717219i | ||||
\(118\) | −4.35104e12 | − | 1.33911e13i | −0.148375 | − | 0.456651i | ||||
\(119\) | −2.31123e13 | + | 1.67921e13i | −0.746084 | + | 0.542061i | ||||
\(120\) | 2.30742e12 | 0.0705421 | ||||||||
\(121\) | −3.30802e13 | − | 9.87508e12i | −0.958216 | − | 0.286046i | ||||
\(122\) | −3.51791e13 | −0.965930 | ||||||||
\(123\) | −2.41481e13 | + | 1.75446e13i | −0.628780 | + | 0.456836i | ||||
\(124\) | −1.10830e13 | − | 3.41099e13i | −0.273789 | − | 0.842636i | ||||
\(125\) | 1.41789e13 | − | 4.36380e13i | 0.332450 | − | 1.02318i | ||||
\(126\) | 4.74295e13 | + | 3.44596e13i | 1.05594 | + | 0.767187i | ||||
\(127\) | 5.44564e13 | + | 3.95649e13i | 1.15166 | + | 0.836731i | 0.988701 | − | 0.149901i | \(-0.0478956\pi\) |
0.162961 | + | 0.986633i | \(0.447896\pi\) | |||||||
\(128\) | 4.08813e12 | − | 1.25820e13i | 0.0821599 | − | 0.252862i | ||||
\(129\) | 1.17386e13 | + | 3.61276e13i | 0.224275 | + | 0.690249i | ||||
\(130\) | −6.95684e13 | + | 5.05444e13i | −1.26410 | + | 0.918420i | ||||
\(131\) | 2.48576e12 | 0.0429730 | 0.0214865 | − | 0.999769i | \(-0.493160\pi\) | ||||
0.0214865 | + | 0.999769i | \(0.493160\pi\) | |||||||
\(132\) | −5.63981e12 | + | 3.86091e13i | −0.0927970 | + | 0.635271i | ||||
\(133\) | 8.44035e12 | 0.132228 | ||||||||
\(134\) | 6.45422e13 | − | 4.68926e13i | 0.963080 | − | 0.699719i | ||||
\(135\) | 1.71582e13 | + | 5.28075e13i | 0.243951 | + | 0.750803i | ||||
\(136\) | −1.46865e12 | + | 4.52003e12i | −0.0199028 | + | 0.0612545i | ||||
\(137\) | 1.16960e13 | + | 8.49765e12i | 0.151131 | + | 0.109803i | 0.660781 | − | 0.750579i | \(-0.270225\pi\) |
−0.509650 | + | 0.860382i | \(0.670225\pi\) | |||||||
\(138\) | 3.81439e13 | + | 2.77132e13i | 0.470122 | + | 0.341564i | ||||
\(139\) | 1.97136e13 | − | 6.06721e13i | 0.231830 | − | 0.713499i | −0.765696 | − | 0.643202i | \(-0.777605\pi\) |
0.997526 | − | 0.0702964i | \(-0.0223945\pi\) | |||||||
\(140\) | −3.53322e13 | − | 1.08741e14i | −0.396586 | − | 1.22057i | ||||
\(141\) | 1.70953e13 | − | 1.24205e13i | 0.183211 | − | 0.133111i | ||||
\(142\) | −1.43236e14 | −1.46615 | ||||||||
\(143\) | 7.24309e13 | + | 1.38023e14i | 0.708337 | + | 1.34979i | ||||
\(144\) | 5.75598e13 | 0.537976 | ||||||||
\(145\) | 2.58481e13 | − | 1.87797e13i | 0.230960 | − | 0.167802i | ||||
\(146\) | 5.48297e13 | + | 1.68749e14i | 0.468514 | + | 1.44194i | ||||
\(147\) | 7.14115e13 | − | 2.19782e14i | 0.583722 | − | 1.79651i | ||||
\(148\) | 8.20576e13 | + | 5.96183e13i | 0.641827 | + | 0.466314i | ||||
\(149\) | −1.67151e14 | − | 1.21442e14i | −1.25141 | − | 0.909200i | −0.253104 | − | 0.967439i | \(-0.581451\pi\) |
−0.998303 | + | 0.0582391i | \(0.981451\pi\) | |||||||
\(150\) | −1.89366e13 | + | 5.82809e13i | −0.135740 | + | 0.417766i | ||||
\(151\) | −2.89930e13 | − | 8.92312e13i | −0.199041 | − | 0.612585i | −0.999906 | − | 0.0137397i | \(-0.995626\pi\) |
0.800865 | − | 0.598845i | \(-0.204374\pi\) | |||||||
\(152\) | 1.13597e12 | − | 8.25332e11i | 0.00747110 | − | 0.00542807i | ||||
\(153\) | −3.78525e13 | −0.238562 | ||||||||
\(154\) | −4.30498e14 | + | 7.35037e13i | −2.60068 | + | 0.444043i | ||||
\(155\) | 1.25837e14 | 0.728872 | ||||||||
\(156\) | 1.42528e14 | − | 1.03553e14i | 0.791754 | − | 0.575243i | ||||
\(157\) | 5.18279e13 | + | 1.59510e14i | 0.276195 | + | 0.850041i | 0.988901 | + | 0.148578i | \(0.0474696\pi\) |
−0.712705 | + | 0.701463i | \(0.752530\pi\) | |||||||
\(158\) | 3.35763e13 | − | 1.03337e14i | 0.171697 | − | 0.528428i | ||||
\(159\) | 1.87493e14 | + | 1.36221e14i | 0.920244 | + | 0.668596i | ||||
\(160\) | −1.74334e14 | − | 1.26661e14i | −0.821488 | − | 0.596846i | ||||
\(161\) | −7.73895e13 | + | 2.38180e14i | −0.350198 | + | 1.07780i | ||||
\(162\) | −2.55530e13 | − | 7.86442e13i | −0.111070 | − | 0.341837i | ||||
\(163\) | −1.64976e14 | + | 1.19862e14i | −0.688973 | + | 0.500568i | −0.876322 | − | 0.481725i | \(-0.840010\pi\) |
0.187350 | + | 0.982293i | \(0.440010\pi\) | |||||||
\(164\) | 2.46057e14 | 0.987530 | ||||||||
\(165\) | −1.22719e14 | − | 6.06798e13i | −0.473440 | − | 0.234098i | ||||
\(166\) | −2.49476e14 | −0.925394 | ||||||||
\(167\) | 1.55645e14 | − | 1.13083e14i | 0.555236 | − | 0.403403i | −0.274476 | − | 0.961594i | \(-0.588504\pi\) |
0.829712 | + | 0.558191i | \(0.188504\pi\) | |||||||
\(168\) | −1.63506e13 | − | 5.03220e13i | −0.0561078 | − | 0.172682i | ||||
\(169\) | 1.23889e14 | − | 3.81290e14i | 0.409042 | − | 1.25890i | ||||
\(170\) | 1.25850e14 | + | 9.14354e13i | 0.399885 | + | 0.290534i | ||||
\(171\) | 9.04749e12 | + | 6.57338e12i | 0.0276728 | + | 0.0201055i | ||||
\(172\) | 9.67666e13 | − | 2.97817e14i | 0.284964 | − | 0.877030i | ||||
\(173\) | −1.25785e14 | − | 3.87126e14i | −0.356721 | − | 1.09787i | −0.955005 | − | 0.296590i | \(-0.904150\pi\) |
0.598284 | − | 0.801284i | \(-0.295850\pi\) | |||||||
\(174\) | −1.11589e14 | + | 8.10740e13i | −0.304825 | + | 0.221468i | ||||
\(175\) | −3.25501e14 | −0.856653 | ||||||||
\(176\) | −2.99527e14 | + | 3.06822e14i | −0.759632 | + | 0.778133i | ||||
\(177\) | −1.01212e14 | −0.247403 | ||||||||
\(178\) | 8.34382e13 | − | 6.06214e13i | 0.196623 | − | 0.142855i | ||||
\(179\) | 5.72194e12 | + | 1.76103e13i | 0.0130016 | + | 0.0400150i | 0.957347 | − | 0.288941i | \(-0.0933032\pi\) |
−0.944345 | + | 0.328956i | \(0.893303\pi\) | |||||||
\(180\) | 4.68144e13 | − | 1.44080e14i | 0.102591 | − | 0.315742i | ||||
\(181\) | 2.89752e14 | + | 2.10517e14i | 0.612514 | + | 0.445017i | 0.850299 | − | 0.526300i | \(-0.176421\pi\) |
−0.237785 | + | 0.971318i | \(0.576421\pi\) | |||||||
\(182\) | 1.59528e15 | + | 1.15904e15i | 3.25366 | + | 2.36393i | ||||
\(183\) | −7.81425e13 | + | 2.40498e14i | −0.153800 | + | 0.473346i | ||||
\(184\) | 1.28745e13 | + | 3.96237e13i | 0.0244577 | + | 0.0752730i | ||||
\(185\) | −2.87906e14 | + | 2.09176e14i | −0.528001 | + | 0.383615i | ||||
\(186\) | −5.43250e14 | −0.961979 | ||||||||
\(187\) | 1.96975e14 | − | 2.01772e14i | 0.336853 | − | 0.345058i | ||||
\(188\) | −1.74192e14 | −0.287742 | ||||||||
\(189\) | 1.03008e15 | − | 7.48398e14i | 1.64388 | − | 1.19435i | ||||
\(190\) | −1.42021e13 | − | 4.37097e13i | −0.0219006 | − | 0.0674030i | ||||
\(191\) | −2.03706e14 | + | 6.26943e14i | −0.303590 | + | 0.934353i | 0.676610 | + | 0.736342i | \(0.263448\pi\) |
−0.980200 | + | 0.198012i | \(0.936552\pi\) | |||||||
\(192\) | 3.18517e14 | + | 2.31416e14i | 0.458854 | + | 0.333377i | ||||
\(193\) | −4.06679e14 | − | 2.95469e14i | −0.566407 | − | 0.411519i | 0.267391 | − | 0.963588i | \(-0.413838\pi\) |
−0.833798 | + | 0.552069i | \(0.813838\pi\) | |||||||
\(194\) | 5.38947e13 | − | 1.65871e14i | 0.0725829 | − | 0.223387i | ||||
\(195\) | 1.91010e14 | + | 5.87870e14i | 0.248790 | + | 0.765695i | ||||
\(196\) | −1.54118e15 | + | 1.11973e15i | −1.94173 | + | 1.41075i | ||||
\(197\) | 1.22834e15 | 1.49722 | 0.748612 | − | 0.663008i | \(-0.230721\pi\) | ||||
0.748612 | + | 0.663008i | \(0.230721\pi\) | |||||||
\(198\) | −5.18710e14 | − | 2.56483e14i | −0.611787 | − | 0.302506i | ||||
\(199\) | −2.14796e14 | −0.245178 | −0.122589 | − | 0.992458i | \(-0.539120\pi\) | ||||
−0.122589 | + | 0.992458i | \(0.539120\pi\) | |||||||
\(200\) | −4.38086e13 | + | 3.18288e13i | −0.0484021 | + | 0.0351662i | ||||
\(201\) | −1.77210e14 | − | 5.45397e14i | −0.189546 | − | 0.583362i | ||||
\(202\) | 5.33491e14 | − | 1.64192e15i | 0.552514 | − | 1.70046i | ||||
\(203\) | −5.92724e14 | − | 4.30639e14i | −0.594468 | − | 0.431906i | ||||
\(204\) | −2.57835e14 | − | 1.87328e14i | −0.250464 | − | 0.181973i | ||||
\(205\) | −2.66778e14 | + | 8.21058e14i | −0.251044 | + | 0.772634i | ||||
\(206\) | −8.66761e14 | − | 2.66762e15i | −0.790246 | − | 2.43213i | ||||
\(207\) | −2.68452e14 | + | 1.95042e14i | −0.237170 | + | 0.172314i | ||||
\(208\) | 1.93601e15 | 1.65766 | ||||||||
\(209\) | −8.21202e13 | + | 1.40213e13i | −0.0681552 | + | 0.0116369i | ||||
\(210\) | −1.73186e15 | −1.39344 | ||||||||
\(211\) | −1.30077e15 | + | 9.45066e14i | −1.01476 | + | 0.737270i | −0.965203 | − | 0.261501i | \(-0.915782\pi\) |
−0.0495615 | + | 0.998771i | \(0.515782\pi\) | |||||||
\(212\) | −5.90363e14 | − | 1.81695e15i | −0.446618 | − | 1.37455i | ||||
\(213\) | −3.18166e14 | + | 9.79214e14i | −0.233446 | + | 0.718473i | ||||
\(214\) | 1.52749e15 | + | 1.10979e15i | 1.08715 | + | 0.789861i | ||||
\(215\) | 8.88859e14 | + | 6.45794e14i | 0.613738 | + | 0.445907i | ||||
\(216\) | 6.54554e13 | − | 2.01451e14i | 0.0438527 | − | 0.134965i | ||||
\(217\) | −8.91690e14 | − | 2.74434e15i | −0.579730 | − | 1.78423i | ||||
\(218\) | 9.96250e14 | − | 7.23818e14i | 0.628639 | − | 0.456733i | ||||
\(219\) | 1.27542e15 | 0.781209 | ||||||||
\(220\) | 5.24407e14 | + | 9.99300e14i | 0.311832 | + | 0.594222i | ||||
\(221\) | −1.27316e15 | −0.735077 | ||||||||
\(222\) | 1.24292e15 | − | 9.03035e14i | 0.696866 | − | 0.506303i | ||||
\(223\) | 4.97778e14 | + | 1.53200e15i | 0.271053 | + | 0.834214i | 0.990237 | + | 0.139395i | \(0.0445157\pi\) |
−0.719184 | + | 0.694819i | \(0.755484\pi\) | |||||||
\(224\) | −1.52697e15 | + | 4.69953e15i | −0.807641 | + | 2.48566i | ||||
\(225\) | −3.48915e14 | − | 2.53502e14i | −0.179281 | − | 0.130255i | ||||
\(226\) | 5.94302e14 | + | 4.31786e14i | 0.296690 | + | 0.215558i | ||||
\(227\) | −1.52385e14 | + | 4.68994e14i | −0.0739222 | + | 0.227509i | −0.981190 | − | 0.193044i | \(-0.938164\pi\) |
0.907268 | + | 0.420553i | \(0.138164\pi\) | |||||||
\(228\) | 2.90966e13 | + | 8.95500e13i | 0.0137172 | + | 0.0422172i | ||||
\(229\) | 1.98286e15 | − | 1.44063e15i | 0.908577 | − | 0.660120i | −0.0320773 | − | 0.999485i | \(-0.510212\pi\) |
0.940655 | + | 0.339365i | \(0.110212\pi\) | |||||||
\(230\) | 1.36367e15 | 0.607406 | ||||||||
\(231\) | −4.53755e14 | + | 3.10632e15i | −0.196491 | + | 1.34514i | ||||
\(232\) | −1.21883e14 | −0.0513183 | ||||||||
\(233\) | −2.85490e15 | + | 2.07421e15i | −1.16890 | + | 0.849256i | −0.990877 | − | 0.134770i | \(-0.956970\pi\) |
−0.178024 | + | 0.984026i | \(0.556970\pi\) | |||||||
\(234\) | 8.07367e14 | + | 2.48482e15i | 0.321490 | + | 0.989446i | ||||
\(235\) | 1.88862e14 | − | 5.81257e14i | 0.0731481 | − | 0.225127i | ||||
\(236\) | 6.74993e14 | + | 4.90411e14i | 0.254315 | + | 0.184770i | ||||
\(237\) | −6.31871e14 | − | 4.59081e14i | −0.231614 | − | 0.168277i | ||||
\(238\) | 1.10231e15 | − | 3.39255e15i | 0.393145 | − | 1.20998i | ||||
\(239\) | −1.10714e15 | − | 3.40742e15i | −0.384252 | − | 1.18261i | −0.937022 | − | 0.349271i | \(-0.886429\pi\) |
0.552770 | − | 0.833334i | \(-0.313571\pi\) | |||||||
\(240\) | −1.37562e15 | + | 9.99445e14i | −0.464649 | + | 0.337587i | ||||
\(241\) | 1.44516e13 | 0.00475121 | 0.00237561 | − | 0.999997i | \(-0.499244\pi\) | ||||
0.00237561 | + | 0.999997i | \(0.499244\pi\) | |||||||
\(242\) | 4.06641e15 | − | 1.43031e15i | 1.30140 | − | 0.457751i | ||||
\(243\) | 2.81570e15 | 0.877294 | ||||||||
\(244\) | 1.68645e15 | − | 1.22528e15i | 0.511610 | − | 0.371706i | ||||
\(245\) | −2.06543e15 | − | 6.35675e15i | −0.610143 | − | 1.87783i | ||||
\(246\) | 1.15171e15 | − | 3.54459e15i | 0.331333 | − | 1.01974i | ||||
\(247\) | 3.04310e14 | + | 2.21094e14i | 0.0852679 | + | 0.0619507i | ||||
\(248\) | −3.88364e14 | − | 2.82163e14i | −0.105999 | − | 0.0770130i | ||||
\(249\) | −5.54156e14 | + | 1.70552e15i | −0.147345 | + | 0.453482i | ||||
\(250\) | 1.77042e15 | + | 5.44880e15i | 0.458634 | + | 1.41153i | ||||
\(251\) | −4.32372e15 | + | 3.14137e15i | −1.09139 | + | 0.792939i | −0.979633 | − | 0.200797i | \(-0.935647\pi\) |
−0.111754 | + | 0.993736i | \(0.535647\pi\) | |||||||
\(252\) | −3.47394e15 | −0.854513 | ||||||||
\(253\) | 3.57289e14 | − | 2.44593e15i | 0.0856516 | − | 0.586355i | ||||
\(254\) | −8.40479e15 | −1.96385 | ||||||||
\(255\) | 9.04636e14 | − | 6.57256e14i | 0.206045 | − | 0.149701i | ||||
\(256\) | 1.62089e15 | + | 4.98858e15i | 0.359910 | + | 1.10769i | ||||
\(257\) | −3.48024e14 | + | 1.07111e15i | −0.0753431 | + | 0.231882i | −0.981635 | − | 0.190771i | \(-0.938901\pi\) |
0.906291 | + | 0.422653i | \(0.138901\pi\) | |||||||
\(258\) | −3.83730e15 | − | 2.78796e15i | −0.810023 | − | 0.588516i | ||||
\(259\) | 6.60200e15 | + | 4.79664e15i | 1.35902 | + | 0.987389i | ||||
\(260\) | 1.57459e15 | − | 4.84609e15i | 0.316112 | − | 0.972892i | ||||
\(261\) | −2.99976e14 | − | 9.23232e14i | −0.0587386 | − | 0.180779i | ||||
\(262\) | −2.51103e14 | + | 1.82437e14i | −0.0479616 | + | 0.0348462i | ||||
\(263\) | −7.75685e15 | −1.44535 | −0.722675 | − | 0.691188i | \(-0.757088\pi\) | ||||
−0.722675 | + | 0.691188i | \(0.757088\pi\) | |||||||
\(264\) | 2.42679e14 | + | 4.62444e14i | 0.0441170 | + | 0.0840687i | ||||
\(265\) | 6.70300e15 | 1.18897 | ||||||||
\(266\) | −8.52616e14 | + | 6.19462e14i | −0.147578 | + | 0.107222i | ||||
\(267\) | −2.29092e14 | − | 7.05073e14i | −0.0386978 | − | 0.119100i | ||||
\(268\) | −1.46083e15 | + | 4.49597e15i | −0.240837 | + | 0.741220i | ||||
\(269\) | −2.00873e15 | − | 1.45943e15i | −0.323245 | − | 0.234852i | 0.414314 | − | 0.910134i | \(-0.364022\pi\) |
−0.737559 | + | 0.675283i | \(0.764022\pi\) | |||||||
\(270\) | −5.60896e15 | − | 4.07515e15i | −0.881085 | − | 0.640146i | ||||
\(271\) | −1.57963e15 | + | 4.86160e15i | −0.242245 | + | 0.745553i | 0.753832 | + | 0.657067i | \(0.228203\pi\) |
−0.996077 | + | 0.0884866i | \(0.971797\pi\) | |||||||
\(272\) | −1.08226e15 | − | 3.33085e15i | −0.162044 | − | 0.498720i | ||||
\(273\) | 1.14672e16 | − | 8.33140e15i | 1.67649 | − | 1.21804i | ||||
\(274\) | −1.80516e15 | −0.257713 | ||||||||
\(275\) | 3.16695e15 | − | 5.40729e14i | 0.441549 | − | 0.0753907i | ||||
\(276\) | −2.79382e15 | −0.380443 | ||||||||
\(277\) | 6.93894e15 | − | 5.04144e15i | 0.922943 | − | 0.670557i | −0.0213119 | − | 0.999773i | \(-0.506784\pi\) |
0.944255 | + | 0.329216i | \(0.106784\pi\) | |||||||
\(278\) | 2.46150e15 | + | 7.57573e15i | 0.319823 | + | 0.984314i | ||||
\(279\) | 1.18147e15 | − | 3.63620e15i | 0.149967 | − | 0.461552i | ||||
\(280\) | −1.23809e15 | − | 8.99524e14i | −0.153541 | − | 0.111554i | ||||
\(281\) | −2.22287e15 | − | 1.61501e15i | −0.269354 | − | 0.195697i | 0.444907 | − | 0.895577i | \(-0.353237\pi\) |
−0.714261 | + | 0.699880i | \(0.753237\pi\) | |||||||
\(282\) | −8.15336e14 | + | 2.50935e15i | −0.0965422 | + | 0.297126i | ||||
\(283\) | 4.75763e15 | + | 1.46425e16i | 0.550527 | + | 1.69435i | 0.707472 | + | 0.706742i | \(0.249836\pi\) |
−0.156944 | + | 0.987607i | \(0.550164\pi\) | |||||||
\(284\) | 6.86657e15 | − | 4.98885e15i | 0.776552 | − | 0.564198i | ||||
\(285\) | −3.30363e14 | −0.0365174 | ||||||||
\(286\) | −1.74467e16 | − | 8.62672e15i | −1.88509 | − | 0.932109i | ||||
\(287\) | 1.97967e16 | 2.09103 | ||||||||
\(288\) | −5.29683e15 | + | 3.84837e15i | −0.546971 | + | 0.397398i | ||||
\(289\) | −2.34897e15 | − | 7.22938e15i | −0.237160 | − | 0.729903i | ||||
\(290\) | −1.23279e15 | + | 3.79413e15i | −0.121703 | + | 0.374563i | ||||
\(291\) | −1.01424e15 | − | 7.36890e14i | −0.0979122 | − | 0.0711374i | ||||
\(292\) | −8.50594e15 | − | 6.17993e15i | −0.803034 | − | 0.583438i | ||||
\(293\) | −3.39544e15 | + | 1.04501e16i | −0.313514 | + | 0.964897i | 0.662848 | + | 0.748754i | \(0.269348\pi\) |
−0.976362 | + | 0.216143i | \(0.930652\pi\) | |||||||
\(294\) | 8.91669e15 | + | 2.74428e16i | 0.805279 | + | 2.47839i | ||||
\(295\) | −2.36827e15 | + | 1.72065e15i | −0.209213 | + | 0.152002i | ||||
\(296\) | 1.35759e15 | 0.117320 | ||||||||
\(297\) | −8.77890e15 | + | 8.99272e15i | −0.742204 | + | 0.760281i | ||||
\(298\) | 2.57980e16 | 2.13393 | ||||||||
\(299\) | −9.02931e15 | + | 6.56018e15i | −0.730789 | + | 0.530949i | ||||
\(300\) | −1.12210e15 | − | 3.45348e15i | −0.0888680 | − | 0.273507i | ||||
\(301\) | 7.78542e15 | − | 2.39611e16i | 0.603393 | − | 1.85705i | ||||
\(302\) | 9.47771e15 | + | 6.88596e15i | 0.718883 | + | 0.522299i | ||||
\(303\) | −1.00397e16 | − | 7.29430e15i | −0.745324 | − | 0.541510i | ||||
\(304\) | −3.19747e14 | + | 9.84079e14i | −0.0232342 | + | 0.0715075i | ||||
\(305\) | 2.26011e15 | + | 6.95591e15i | 0.160761 | + | 0.494772i | ||||
\(306\) | 3.82374e15 | − | 2.77811e15i | 0.266255 | − | 0.193446i | ||||
\(307\) | 1.19855e16 | 0.817065 | 0.408533 | − | 0.912744i | \(-0.366041\pi\) | ||||
0.408533 | + | 0.912744i | \(0.366041\pi\) | |||||||
\(308\) | 1.80775e16 | − | 1.85178e16i | 1.20659 | − | 1.23597i | ||||
\(309\) | −2.01622e16 | −1.31767 | ||||||||
\(310\) | −1.27116e16 | + | 9.23551e15i | −0.813484 | + | 0.591031i | ||||
\(311\) | 7.34554e15 | + | 2.26073e16i | 0.460343 | + | 1.41679i | 0.864746 | + | 0.502209i | \(0.167479\pi\) |
−0.404403 | + | 0.914581i | \(0.632521\pi\) | |||||||
\(312\) | 7.28671e14 | − | 2.24262e15i | 0.0447225 | − | 0.137642i | ||||
\(313\) | −2.65116e16 | − | 1.92618e16i | −1.59367 | − | 1.15787i | −0.898458 | − | 0.439060i | \(-0.855312\pi\) |
−0.695210 | − | 0.718807i | \(-0.744688\pi\) | |||||||
\(314\) | −1.69424e16 | − | 1.23094e16i | −0.997543 | − | 0.724758i | ||||
\(315\) | 3.76649e15 | − | 1.15921e16i | 0.217229 | − | 0.668563i | ||||
\(316\) | 1.98959e15 | + | 6.12333e15i | 0.112408 | + | 0.345956i | ||||
\(317\) | −1.27753e16 | + | 9.28181e15i | −0.707109 | + | 0.513745i | −0.882240 | − | 0.470800i | \(-0.843965\pi\) |
0.175131 | + | 0.984545i | \(0.443965\pi\) | |||||||
\(318\) | −2.89376e16 | −1.56923 | ||||||||
\(319\) | 6.48228e15 | + | 3.20525e15i | 0.344420 | + | 0.170303i | ||||
\(320\) | 1.13872e16 | 0.592848 | ||||||||
\(321\) | 1.09799e16 | − | 7.97738e15i | 0.560166 | − | 0.406984i | ||||
\(322\) | −9.66312e15 | − | 2.97400e16i | −0.483119 | − | 1.48689i | ||||
\(323\) | 2.10272e14 | − | 6.47151e14i | 0.0103030 | − | 0.0317095i | ||||
\(324\) | 3.96414e15 | + | 2.88012e15i | 0.190373 | + | 0.138314i | ||||
\(325\) | −1.17357e16 | − | 8.52645e15i | −0.552415 | − | 0.401353i | ||||
\(326\) | 7.86831e15 | − | 2.42162e16i | 0.363050 | − | 1.11735i | ||||
\(327\) | −2.73535e15 | − | 8.41855e15i | −0.123724 | − | 0.380783i | ||||
\(328\) | 2.66440e15 | − | 1.93580e15i | 0.118146 | − | 0.0858381i | ||||
\(329\) | −1.40148e16 | −0.609274 | ||||||||
\(330\) | 1.68501e16 | − | 2.87700e15i | 0.718227 | − | 0.122631i | ||||
\(331\) | 6.23709e15 | 0.260675 | 0.130338 | − | 0.991470i | \(-0.458394\pi\) | ||||
0.130338 | + | 0.991470i | \(0.458394\pi\) | |||||||
\(332\) | 1.19596e16 | − | 8.68918e15i | 0.490140 | − | 0.356107i | ||||
\(333\) | 3.34126e15 | + | 1.02833e16i | 0.134284 | + | 0.413282i | ||||
\(334\) | −7.42326e15 | + | 2.28465e16i | −0.292579 | + | 0.900465i | ||||
\(335\) | −1.34186e16 | − | 9.74917e15i | −0.518699 | − | 0.376857i | ||||
\(336\) | 3.15444e16 | + | 2.29184e16i | 1.19596 | + | 0.868917i | ||||
\(337\) | 2.16849e15 | − | 6.67392e15i | 0.0806422 | − | 0.248191i | −0.902605 | − | 0.430471i | \(-0.858348\pi\) |
0.983247 | + | 0.182280i | \(0.0583476\pi\) | |||||||
\(338\) | 1.54692e16 | + | 4.76092e16i | 0.564297 | + | 1.73673i | ||||
\(339\) | 4.27197e15 | − | 3.10377e15i | 0.152873 | − | 0.111068i | ||||
\(340\) | −9.21779e15 | −0.323604 | ||||||||
\(341\) | 1.32346e16 | + | 2.52197e16i | 0.455836 | + | 0.868633i | ||||
\(342\) | −1.39639e15 | −0.0471885 | ||||||||
\(343\) | −7.73359e16 | + | 5.61878e16i | −2.56430 | + | 1.86307i | ||||
\(344\) | −1.29518e15 | − | 3.98617e15i | −0.0421407 | − | 0.129696i | ||||
\(345\) | 3.02909e15 | − | 9.32260e15i | 0.0967139 | − | 0.297655i | ||||
\(346\) | 4.11187e16 | + | 2.98745e16i | 1.28838 | + | 0.936064i | ||||
\(347\) | −8.79348e15 | − | 6.38883e15i | −0.270408 | − | 0.196463i | 0.444315 | − | 0.895871i | \(-0.353447\pi\) |
−0.714723 | + | 0.699408i | \(0.753447\pi\) | |||||||
\(348\) | 2.52567e15 | − | 7.77320e15i | 0.0762274 | − | 0.234604i | ||||
\(349\) | 6.43605e15 | + | 1.98081e16i | 0.190657 | + | 0.586783i | 1.00000 | 0.000553766i | \(-0.000176269\pi\) | |
−0.809342 | + | 0.587337i | \(0.800176\pi\) | |||||||
\(350\) | 3.28810e16 | − | 2.38895e16i | 0.956099 | − | 0.694647i | ||||
\(351\) | 5.67429e16 | 1.61963 | ||||||||
\(352\) | 7.04966e15 | − | 4.82606e16i | 0.197533 | − | 1.35228i | ||||
\(353\) | 1.82463e16 | 0.501926 | 0.250963 | − | 0.967997i | \(-0.419253\pi\) | ||||
0.250963 | + | 0.967997i | \(0.419253\pi\) | |||||||
\(354\) | 1.02241e16 | − | 7.42823e15i | 0.276123 | − | 0.200615i | ||||
\(355\) | 9.20231e15 | + | 2.83218e16i | 0.244013 | + | 0.750994i | ||||
\(356\) | −1.88852e15 | + | 5.81225e15i | −0.0491695 | + | 0.151328i | ||||
\(357\) | −2.07443e16 | − | 1.50716e16i | −0.530341 | − | 0.385315i | ||||
\(358\) | −1.87048e15 | − | 1.35899e15i | −0.0469585 | − | 0.0341173i | ||||
\(359\) | −2.18149e16 | + | 6.71393e16i | −0.537822 | + | 1.65525i | 0.199649 | + | 0.979867i | \(0.436020\pi\) |
−0.737471 | + | 0.675379i | \(0.763980\pi\) | |||||||
\(360\) | −6.26594e14 | − | 1.92846e15i | −0.0151712 | − | 0.0466922i | ||||
\(361\) | 3.38589e16 | − | 2.46000e16i | 0.805149 | − | 0.584975i | ||||
\(362\) | −4.47203e16 | −1.04448 | ||||||||
\(363\) | −7.45493e14 | − | 3.09767e16i | −0.0171021 | − | 0.710627i | ||||
\(364\) | −1.16845e17 | −2.63300 | ||||||||
\(365\) | 2.98438e16 | − | 2.16828e16i | 0.660619 | − | 0.479968i | ||||
\(366\) | −9.75714e15 | − | 3.00294e16i | −0.212176 | − | 0.653009i | ||||
\(367\) | −1.55048e16 | + | 4.77188e16i | −0.331235 | + | 1.01944i | 0.637312 | + | 0.770605i | \(0.280046\pi\) |
−0.968547 | + | 0.248830i | \(0.919954\pi\) | |||||||
\(368\) | −2.48382e16 | − | 1.80460e16i | −0.521326 | − | 0.378766i | ||||
\(369\) | 2.12207e16 | + | 1.54177e16i | 0.437611 | + | 0.317943i | ||||
\(370\) | 1.37313e16 | − | 4.22606e16i | 0.278227 | − | 0.856296i | ||||
\(371\) | −4.74981e16 | − | 1.46184e17i | −0.945684 | − | 2.91052i | ||||
\(372\) | 2.60428e16 | − | 1.89212e16i | 0.509517 | − | 0.370186i | ||||
\(373\) | 5.67847e16 | 1.09175 | 0.545876 | − | 0.837866i | \(-0.316197\pi\) | ||||
0.545876 | + | 0.837866i | \(0.316197\pi\) | |||||||
\(374\) | −5.08909e15 | + | 3.48389e16i | −0.0961556 | + | 0.658263i | ||||
\(375\) | 4.11827e16 | 0.764736 | ||||||||
\(376\) | −1.88622e15 | + | 1.37042e15i | −0.0344249 | + | 0.0250111i | ||||
\(377\) | −1.00896e16 | − | 3.10527e16i | −0.180991 | − | 0.557032i | ||||
\(378\) | −4.91283e16 | + | 1.51201e17i | −0.866233 | + | 2.66599i | ||||
\(379\) | −5.35354e16 | − | 3.88957e16i | −0.927868 | − | 0.674136i | 0.0176018 | − | 0.999845i | \(-0.494397\pi\) |
−0.945470 | + | 0.325709i | \(0.894397\pi\) | |||||||
\(380\) | 2.20323e15 | + | 1.60074e15i | 0.0375376 | + | 0.0272727i | ||||
\(381\) | −1.86694e16 | + | 5.74584e16i | −0.312692 | + | 0.962368i | ||||
\(382\) | −2.54354e16 | − | 7.82823e16i | −0.418820 | − | 1.28900i | ||||
\(383\) | 2.64201e16 | − | 1.91953e16i | 0.427703 | − | 0.310744i | −0.353027 | − | 0.935613i | \(-0.614848\pi\) |
0.780730 | + | 0.624869i | \(0.214848\pi\) | |||||||
\(384\) | 1.18740e16 | 0.188993 | ||||||||
\(385\) | 4.21915e16 | + | 8.03994e16i | 0.660283 | + | 1.25822i | ||||
\(386\) | 6.27667e16 | 0.965854 | ||||||||
\(387\) | 2.70064e16 | − | 1.96213e16i | 0.408645 | − | 0.296898i | ||||
\(388\) | 3.19357e15 | + | 9.82880e15i | 0.0475193 | + | 0.146250i | ||||
\(389\) | 8.57051e15 | − | 2.63773e16i | 0.125411 | − | 0.385974i | −0.868565 | − | 0.495575i | \(-0.834957\pi\) |
0.993976 | + | 0.109601i | \(0.0349573\pi\) | |||||||
\(390\) | −6.24407e16 | − | 4.53658e16i | −0.898561 | − | 0.652843i | ||||
\(391\) | 1.63341e16 | + | 1.18674e16i | 0.231178 | + | 0.167961i | ||||
\(392\) | −7.87926e15 | + | 2.42499e16i | −0.109680 | + | 0.337559i | ||||
\(393\) | 6.89441e14 | + | 2.12188e15i | 0.00943943 | + | 0.0290516i | ||||
\(394\) | −1.24082e17 | + | 9.01512e16i | −1.67103 | + | 1.21408i | ||||
\(395\) | −2.25899e16 | −0.299249 | ||||||||
\(396\) | 3.37996e16 | − | 5.77098e15i | 0.440446 | − | 0.0752023i | ||||
\(397\) | −1.00332e17 | −1.28618 | −0.643089 | − | 0.765792i | \(-0.722347\pi\) | ||||
−0.643089 | + | 0.765792i | \(0.722347\pi\) | |||||||
\(398\) | 2.16980e16 | − | 1.57645e16i | 0.273640 | − | 0.198811i | ||||
\(399\) | 2.34098e15 | + | 7.20481e15i | 0.0290452 | + | 0.0893920i | ||||
\(400\) | 1.23310e16 | − | 3.79509e16i | 0.150525 | − | 0.463267i | ||||
\(401\) | 2.90695e16 | + | 2.11202e16i | 0.349140 | + | 0.253665i | 0.748508 | − | 0.663126i | \(-0.230771\pi\) |
−0.399368 | + | 0.916791i | \(0.630771\pi\) | |||||||
\(402\) | 5.79294e16 | + | 4.20882e16i | 0.684589 | + | 0.497383i | ||||
\(403\) | 3.97385e16 | − | 1.22303e17i | 0.462092 | − | 1.42217i | ||||
\(404\) | 3.16124e16 | + | 9.72930e16i | 0.361725 | + | 1.11328i | ||||
\(405\) | −1.39085e16 | + | 1.01051e16i | −0.156611 | + | 0.113785i | ||||
\(406\) | 9.14809e16 | 1.01370 | ||||||||
\(407\) | −7.22023e16 | − | 3.57014e16i | −0.787386 | − | 0.389333i | ||||
\(408\) | −4.26570e15 | −0.0457825 | ||||||||
\(409\) | −1.91382e16 | + | 1.39047e16i | −0.202162 | + | 0.146879i | −0.684260 | − | 0.729238i | \(-0.739875\pi\) |
0.482099 | + | 0.876117i | \(0.339875\pi\) | |||||||
\(410\) | −3.33108e16 | − | 1.02520e17i | −0.346330 | − | 1.06589i | ||||
\(411\) | −4.00976e15 | + | 1.23408e16i | −0.0410343 | + | 0.126290i | ||||
\(412\) | 1.34464e17 | + | 9.76937e16i | 1.35448 | + | 0.984089i | ||||
\(413\) | 5.43070e16 | + | 3.94564e16i | 0.538494 | + | 0.391239i | ||||
\(414\) | 1.28034e16 | − | 3.94050e16i | 0.124975 | − | 0.384635i | ||||
\(415\) | 1.60278e16 | + | 4.93286e16i | 0.154015 | + | 0.474008i | ||||
\(416\) | −1.78157e17 | + | 1.29439e17i | −1.68538 | + | 1.22450i | ||||
\(417\) | 5.72583e16 | 0.533279 | ||||||||
\(418\) | 7.26644e15 | − | 7.44342e15i | 0.0666310 | − | 0.0682538i | ||||
\(419\) | 1.16487e17 | 1.05169 | 0.525844 | − | 0.850581i | \(-0.323749\pi\) | ||||
0.525844 | + | 0.850581i | \(0.323749\pi\) | |||||||
\(420\) | 8.30235e16 | − | 6.03201e16i | 0.738041 | − | 0.536218i | ||||
\(421\) | −1.36212e16 | − | 4.19216e16i | −0.119229 | − | 0.366948i | 0.873577 | − | 0.486686i | \(-0.161794\pi\) |
−0.992805 | + | 0.119738i | \(0.961794\pi\) | |||||||
\(422\) | 6.20385e16 | − | 1.90935e17i | 0.534725 | − | 1.64571i | ||||
\(423\) | −1.50229e16 | − | 1.09148e16i | −0.127509 | − | 0.0926408i | ||||
\(424\) | −2.06872e16 | − | 1.50301e16i | −0.172911 | − | 0.125627i | ||||
\(425\) | −8.10912e15 | + | 2.49573e16i | −0.0667491 | + | 0.205433i | ||||
\(426\) | −3.97273e16 | − | 1.22268e17i | −0.322053 | − | 0.991176i | ||||
\(427\) | 1.35684e17 | − | 9.85805e16i | 1.08330 | − | 0.787063i | ||||
\(428\) | −1.11880e17 | −0.879767 | ||||||||
\(429\) | −9.77294e16 | + | 1.00110e17i | −0.756925 | + | 0.775361i | ||||
\(430\) | −1.37186e17 | −1.04656 | ||||||||
\(431\) | −1.14267e17 | + | 8.30202e16i | −0.858658 | + | 0.623852i | −0.927520 | − | 0.373774i | \(-0.878063\pi\) |
0.0688612 | + | 0.997626i | \(0.478063\pi\) | |||||||
\(432\) | 4.82347e16 | + | 1.48451e17i | 0.357039 | + | 1.09885i | ||||
\(433\) | −4.09461e15 | + | 1.26019e16i | −0.0298567 | + | 0.0918893i | −0.964874 | − | 0.262712i | \(-0.915383\pi\) |
0.935018 | + | 0.354601i | \(0.115383\pi\) | |||||||
\(434\) | 2.91491e17 | + | 2.11780e17i | 2.09383 | + | 1.52126i | ||||
\(435\) | 2.31998e16 | + | 1.68556e16i | 0.164174 | + | 0.119279i | ||||
\(436\) | −2.25488e16 | + | 6.93982e16i | −0.157203 | + | 0.483822i | ||||
\(437\) | −1.84330e15 | − | 5.67310e15i | −0.0126610 | − | 0.0389664i | ||||
\(438\) | −1.28839e17 | + | 9.36070e16i | −0.871897 | + | 0.633471i | ||||
\(439\) | −3.38328e16 | −0.225589 | −0.112795 | − | 0.993618i | \(-0.535980\pi\) | ||||
−0.112795 | + | 0.993618i | \(0.535980\pi\) | |||||||
\(440\) | 1.35403e16 | + | 6.69516e15i | 0.0889580 | + | 0.0439864i | ||||
\(441\) | −2.03078e17 | −1.31466 | ||||||||
\(442\) | 1.28610e17 | − | 9.34408e16i | 0.820410 | − | 0.596063i | ||||
\(443\) | 4.45223e16 | + | 1.37026e17i | 0.279868 | + | 0.861346i | 0.987890 | + | 0.155155i | \(0.0495877\pi\) |
−0.708022 | + | 0.706190i | \(0.750412\pi\) | |||||||
\(444\) | −2.81319e16 | + | 8.65811e16i | −0.174265 | + | 0.536332i | ||||
\(445\) | −1.73471e16 | − | 1.26034e16i | −0.105898 | − | 0.0769394i | ||||
\(446\) | −1.62722e17 | − | 1.18224e17i | −0.978970 | − | 0.711263i | ||||
\(447\) | 5.73046e16 | − | 1.76365e17i | 0.339774 | − | 1.04572i | ||||
\(448\) | −8.06910e16 | − | 2.48341e17i | −0.471539 | − | 1.45125i | ||||
\(449\) | 4.56590e16 | − | 3.31732e16i | 0.262982 | − | 0.191067i | −0.448479 | − | 0.893793i | \(-0.648034\pi\) |
0.711461 | + | 0.702726i | \(0.248034\pi\) | |||||||
\(450\) | 5.38514e16 | 0.305714 | ||||||||
\(451\) | −1.92611e17 | + | 3.28867e16i | −1.07779 | + | 0.184023i | ||||
\(452\) | −4.35292e16 | −0.240094 | ||||||||
\(453\) | 6.81277e16 | − | 4.94976e16i | 0.370412 | − | 0.269120i | ||||
\(454\) | −1.90274e16 | − | 5.85602e16i | −0.101980 | − | 0.313862i | ||||
\(455\) | 1.26685e17 | − | 3.89896e17i | 0.669346 | − | 2.06003i | ||||
\(456\) | 1.01958e15 | + | 7.40772e14i | 0.00531070 | + | 0.00385845i | ||||
\(457\) | 1.47115e16 | + | 1.06885e16i | 0.0755443 | + | 0.0548862i | 0.624916 | − | 0.780692i | \(-0.285133\pi\) |
−0.549372 | + | 0.835578i | \(0.685133\pi\) | |||||||
\(458\) | −9.45698e16 | + | 2.91056e17i | −0.478770 | + | 1.47350i | ||||
\(459\) | −3.17201e16 | − | 9.76246e16i | −0.158326 | − | 0.487278i | ||||
\(460\) | −6.53730e16 | + | 4.74963e16i | −0.321716 | + | 0.233740i | ||||
\(461\) | 4.41073e16 | 0.214020 | 0.107010 | − | 0.994258i | \(-0.465872\pi\) | ||||
0.107010 | + | 0.994258i | \(0.465872\pi\) | |||||||
\(462\) | −1.82145e17 | − | 3.47093e17i | −0.871455 | − | 1.66063i | ||||
\(463\) | 2.19625e17 | 1.03611 | 0.518054 | − | 0.855348i | \(-0.326657\pi\) | ||||
0.518054 | + | 0.855348i | \(0.326657\pi\) | |||||||
\(464\) | 7.26634e16 | − | 5.27931e16i | 0.338025 | − | 0.245590i | ||||
\(465\) | 3.49016e16 | + | 1.07416e17i | 0.160104 | + | 0.492748i | ||||
\(466\) | 1.36160e17 | − | 4.19059e17i | 0.615946 | − | 1.89569i | ||||
\(467\) | 5.64449e16 | + | 4.10096e16i | 0.251805 | + | 0.182947i | 0.706527 | − | 0.707687i | \(-0.250261\pi\) |
−0.454721 | + | 0.890634i | \(0.650261\pi\) | |||||||
\(468\) | −1.25250e17 | − | 9.09993e16i | −0.551035 | − | 0.400350i | ||||
\(469\) | −1.17532e17 | + | 3.61726e17i | −0.509956 | + | 1.56948i | ||||
\(470\) | 2.35819e16 | + | 7.25777e16i | 0.100912 | + | 0.310575i | ||||
\(471\) | −1.21785e17 | + | 8.84822e16i | −0.513995 | + | 0.373439i | ||||
\(472\) | 1.11673e16 | 0.0464863 | ||||||||
\(473\) | −3.59434e16 | + | 2.46062e17i | −0.147578 | + | 1.01029i | ||||
\(474\) | 9.75228e16 | 0.394954 | ||||||||
\(475\) | 6.27226e15 | − | 4.55707e15i | 0.0250562 | − | 0.0182044i | ||||
\(476\) | 6.53181e16 | + | 2.01028e17i | 0.257388 | + | 0.792159i | ||||
\(477\) | 6.29341e16 | − | 1.93691e17i | 0.244634 | − | 0.752906i | ||||
\(478\) | 3.61920e17 | + | 2.62950e17i | 1.38781 | + | 1.00831i | ||||
\(479\) | −3.23563e16 | − | 2.35082e16i | −0.122399 | − | 0.0889282i | 0.524901 | − | 0.851163i | \(-0.324102\pi\) |
−0.647301 | + | 0.762235i | \(0.724102\pi\) | |||||||
\(480\) | 5.97670e16 | − | 1.83944e17i | 0.223046 | − | 0.686464i | ||||
\(481\) | 1.12382e17 | + | 3.45877e17i | 0.413766 | + | 1.27344i | ||||
\(482\) | −1.45985e15 | + | 1.06064e15i | −0.00530276 | + | 0.00385268i | ||||
\(483\) | −2.24779e17 | −0.805562 | ||||||||
\(484\) | −1.45122e17 | + | 2.10199e17i | −0.513145 | + | 0.743252i | ||||
\(485\) | −3.62599e16 | −0.126504 | ||||||||
\(486\) | −2.84432e17 | + | 2.06652e17i | −0.979137 | + | 0.711384i | ||||
\(487\) | −8.93093e15 | − | 2.74866e16i | −0.0303360 | − | 0.0933647i | 0.934742 | − | 0.355327i | \(-0.115630\pi\) |
−0.965078 | + | 0.261962i | \(0.915630\pi\) | |||||||
\(488\) | 8.62192e15 | − | 2.65355e16i | 0.0288985 | − | 0.0889404i | ||||
\(489\) | −1.48073e17 | − | 1.07582e17i | −0.489744 | − | 0.355820i | ||||
\(490\) | 6.75184e17 | + | 4.90550e17i | 2.20367 | + | 1.60106i | ||||
\(491\) | −1.04827e16 | + | 3.22626e16i | −0.0337633 | + | 0.103913i | −0.966518 | − | 0.256599i | \(-0.917398\pi\) |
0.932755 | + | 0.360512i | \(0.117398\pi\) | |||||||
\(492\) | 6.82454e16 | + | 2.10038e17i | 0.216920 | + | 0.667612i | ||||
\(493\) | −4.77850e16 | + | 3.47178e16i | −0.149895 | + | 0.108905i | ||||
\(494\) | −4.69671e16 | −0.145401 | ||||||||
\(495\) | −1.73890e16 | + | 1.19042e17i | −0.0531301 | + | 0.363718i | ||||
\(496\) | 3.53749e17 | 1.06675 | ||||||||
\(497\) | 5.52455e17 | − | 4.01382e17i | 1.64430 | − | 1.19465i | ||||
\(498\) | −6.91938e16 | − | 2.12957e17i | −0.203271 | − | 0.625605i | ||||
\(499\) | −1.88707e17 | + | 5.80782e17i | −0.547186 | + | 1.68407i | 0.168548 | + | 0.985694i | \(0.446092\pi\) |
−0.715734 | + | 0.698373i | \(0.753908\pi\) | |||||||
\(500\) | −2.74652e17 | − | 1.99546e17i | −0.786100 | − | 0.571135i | ||||
\(501\) | 1.39698e17 | + | 1.01497e17i | 0.394680 | + | 0.286752i | ||||
\(502\) | 2.06214e17 | − | 6.34661e17i | 0.575101 | − | 1.76998i | ||||
\(503\) | −1.76017e17 | − | 5.41724e17i | −0.484577 | − | 1.49137i | −0.832593 | − | 0.553885i | \(-0.813145\pi\) |
0.348017 | − | 0.937488i | \(-0.386855\pi\) | |||||||
\(504\) | −3.76172e16 | + | 2.73305e16i | −0.102232 | + | 0.0742760i | ||||
\(505\) | −3.58928e17 | −0.962972 | ||||||||
\(506\) | 1.43422e17 | + | 2.73302e17i | 0.379872 | + | 0.723877i | ||||
\(507\) | 3.59836e17 | 0.940920 | ||||||||
\(508\) | 4.02917e17 | − | 2.92736e17i | 1.04016 | − | 0.755722i | ||||
\(509\) | 8.34840e15 | + | 2.56937e16i | 0.0212783 | + | 0.0654880i | 0.961132 | − | 0.276090i | \(-0.0890387\pi\) |
−0.939854 | + | 0.341578i | \(0.889039\pi\) | |||||||
\(510\) | −4.31453e16 | + | 1.32788e17i | −0.108574 | + | 0.334158i | ||||
\(511\) | −6.84351e17 | − | 4.97210e17i | −1.70037 | − | 1.23539i | ||||
\(512\) | −4.42186e17 | − | 3.21267e17i | −1.08480 | − | 0.788154i | ||||
\(513\) | −9.37153e15 | + | 2.88426e16i | −0.0227011 | + | 0.0698669i | ||||
\(514\) | −4.34554e16 | − | 1.33742e17i | −0.103940 | − | 0.319895i | ||||
\(515\) | −4.71778e17 | + | 3.42767e17i | −1.11427 | + | 0.809565i | ||||
\(516\) | 2.81060e17 | 0.655504 | ||||||||
\(517\) | 1.36356e17 | − | 2.32817e16i | 0.314042 | − | 0.0536198i | ||||
\(518\) | −1.01895e18 | −2.31745 | ||||||||
\(519\) | 2.95569e17 | − | 2.14744e17i | 0.663852 | − | 0.482317i | ||||
\(520\) | −2.10753e16 | − | 6.48631e16i | −0.0467468 | − | 0.143872i | ||||
\(521\) | −1.49711e17 | + | 4.60762e17i | −0.327950 | + | 1.00933i | 0.642142 | + | 0.766586i | \(0.278046\pi\) |
−0.970091 | + | 0.242740i | \(0.921954\pi\) | |||||||
\(522\) | 9.80613e16 | + | 7.12457e16i | 0.212148 | + | 0.154135i | ||||
\(523\) | −1.48579e17 | − | 1.07949e17i | −0.317466 | − | 0.230652i | 0.417628 | − | 0.908618i | \(-0.362862\pi\) |
−0.735093 | + | 0.677966i | \(0.762862\pi\) | |||||||
\(524\) | 5.68339e15 | − | 1.74917e16i | 0.0119937 | − | 0.0369129i | ||||
\(525\) | −9.02797e16 | − | 2.77852e17i | −0.188172 | − | 0.579134i | ||||
\(526\) | 7.83571e17 | − | 5.69298e17i | 1.61314 | − | 1.17201i | ||||
\(527\) | −2.32633e17 | −0.473044 | ||||||||
\(528\) | −3.44983e17 | − | 1.70581e17i | −0.692911 | − | 0.342619i | ||||
\(529\) | −3.27045e17 | −0.648851 | ||||||||
\(530\) | −6.77115e17 | + | 4.91953e17i | −1.32699 | + | 0.964118i | ||||
\(531\) | 2.74847e16 | + | 8.45891e16i | 0.0532079 | + | 0.163757i | ||||
\(532\) | 1.92979e16 | − | 5.93927e16i | 0.0369048 | − | 0.113581i | ||||
\(533\) | 7.13752e17 | + | 5.18571e17i | 1.34841 | + | 0.979674i | ||||
\(534\) | 7.48894e16 | + | 5.44104e16i | 0.139766 | + | 0.101546i | ||||
\(535\) | 1.21302e17 | − | 3.73328e17i | 0.223649 | − | 0.688321i | ||||
\(536\) | 1.95526e16 | + | 6.01768e16i | 0.0356151 | + | 0.109612i | ||||
\(537\) | −1.34454e16 | + | 9.76866e15i | −0.0241959 | + | 0.0175793i | ||||
\(538\) | 3.10027e17 | 0.551207 | ||||||||
\(539\) | 1.05677e18 | − | 1.08251e18i | 1.85632 | − | 1.90153i | ||||
\(540\) | 4.10824e17 | 0.713011 | ||||||||
\(541\) | −5.39203e17 | + | 3.91754e17i | −0.924635 | + | 0.671786i | −0.944673 | − | 0.328013i | \(-0.893621\pi\) |
0.0200385 | + | 0.999799i | \(0.493621\pi\) | |||||||
\(542\) | −1.97238e17 | − | 6.07036e17i | −0.334191 | − | 1.02853i | ||||
\(543\) | −9.93361e16 | + | 3.05725e17i | −0.166306 | + | 0.511838i | ||||
\(544\) | 3.22289e17 | + | 2.34156e17i | 0.533153 | + | 0.387358i | ||||
\(545\) | −2.07125e17 | − | 1.50485e17i | −0.338575 | − | 0.245989i | ||||
\(546\) | −5.46912e17 | + | 1.68322e18i | −0.883415 | + | 2.71887i | ||||
\(547\) | 2.12812e17 | + | 6.54968e17i | 0.339687 | + | 1.04545i | 0.964367 | + | 0.264567i | \(0.0852292\pi\) |
−0.624681 | + | 0.780880i | \(0.714771\pi\) | |||||||
\(548\) | 8.65375e16 | − | 6.28732e16i | 0.136499 | − | 0.0991726i | ||||
\(549\) | 2.22219e17 | 0.346387 | ||||||||
\(550\) | −2.80229e17 | + | 2.87055e17i | −0.431674 | + | 0.442188i | ||||
\(551\) | 1.74506e16 | 0.0265659 | ||||||||
\(552\) | −3.02526e16 | + | 2.19798e16i | −0.0455154 | + | 0.0330689i | ||||
\(553\) | 1.60074e17 | + | 4.92657e17i | 0.238016 | + | 0.732539i | ||||
\(554\) | −3.30943e17 | + | 1.01854e18i | −0.486340 | + | 1.49680i | ||||
\(555\) | −2.58409e17 | − | 1.87745e17i | −0.375321 | − | 0.272686i | ||||
\(556\) | −3.81862e17 | − | 2.77439e17i | −0.548177 | − | 0.398274i | ||||
\(557\) | 2.49135e17 | − | 7.66758e17i | 0.353489 | − | 1.08793i | −0.603392 | − | 0.797445i | \(-0.706185\pi\) |
0.956881 | − | 0.290481i | \(-0.0938154\pi\) | |||||||
\(558\) | 1.47523e17 | + | 4.54028e17i | 0.206889 | + | 0.636738i | ||||
\(559\) | 9.08354e17 | − | 6.59958e17i | 1.25915 | − | 0.914828i | ||||
\(560\) | 1.12774e18 | 1.54520 | ||||||||
\(561\) | 2.26868e17 | + | 1.12178e17i | 0.307266 | + | 0.151932i | ||||
\(562\) | 3.43077e17 | 0.459310 | ||||||||
\(563\) | 5.18301e15 | − | 3.76568e15i | 0.00685927 | − | 0.00498355i | −0.584350 | − | 0.811501i | \(-0.698651\pi\) |
0.591210 | + | 0.806518i | \(0.298651\pi\) | |||||||
\(564\) | −4.83134e16 | − | 1.48693e17i | −0.0632052 | − | 0.194526i | ||||
\(565\) | 4.71949e16 | − | 1.45251e17i | 0.0610352 | − | 0.187847i | ||||
\(566\) | −1.55525e18 | − | 1.12996e18i | −1.98836 | − | 1.44463i | ||||
\(567\) | 3.18938e17 | + | 2.31722e17i | 0.403103 | + | 0.292871i | ||||
\(568\) | 3.51051e16 | − | 1.08043e17i | 0.0438638 | − | 0.134999i | ||||
\(569\) | −4.33661e17 | − | 1.33467e18i | −0.535699 | − | 1.64871i | −0.742134 | − | 0.670252i | \(-0.766186\pi\) |
0.206435 | − | 0.978460i | \(-0.433814\pi\) | |||||||
\(570\) | 3.33722e16 | − | 2.42463e16i | 0.0407566 | − | 0.0296114i | ||||
\(571\) | −4.86920e17 | −0.587926 | −0.293963 | − | 0.955817i | \(-0.594974\pi\) | ||||
−0.293963 | + | 0.955817i | \(0.594974\pi\) | |||||||
\(572\) | 1.13684e18 | − | 1.94105e17i | 1.35714 | − | 0.231720i | ||||
\(573\) | −5.91667e17 | −0.698349 | ||||||||
\(574\) | −1.99979e18 | + | 1.45293e18i | −2.33377 | + | 1.69558i | ||||
\(575\) | 7.10866e16 | + | 2.18782e17i | 0.0820251 | + | 0.252447i | ||||
\(576\) | 1.06914e17 | − | 3.29047e17i | 0.121980 | − | 0.375416i | ||||
\(577\) | 1.02127e18 | + | 7.41999e17i | 1.15212 | + | 0.837067i | 0.988762 | − | 0.149499i | \(-0.0477660\pi\) |
0.163363 | + | 0.986566i | \(0.447766\pi\) | |||||||
\(578\) | 7.67870e17 | + | 5.57890e17i | 0.856558 | + | 0.622326i | ||||
\(579\) | 1.39422e17 | − | 4.29097e17i | 0.153788 | − | 0.473309i | ||||
\(580\) | −7.30498e16 | − | 2.24824e17i | −0.0796777 | − | 0.245223i | ||||
\(581\) | 9.62220e17 | − | 6.99094e17i | 1.03784 | − | 0.754034i | ||||
\(582\) | 1.56538e17 | 0.166963 | ||||||||
\(583\) | 7.04976e17 | + | 1.34339e18i | 0.743582 | + | 1.41696i | ||||
\(584\) | −1.40725e17 | −0.146787 | ||||||||
\(585\) | 4.39450e17 | − | 3.19279e17i | 0.453311 | − | 0.329350i | ||||
\(586\) | −4.23967e17 | − | 1.30484e18i | −0.432511 | − | 1.33113i | ||||
\(587\) | −3.57382e17 | + | 1.09991e18i | −0.360566 | + | 1.10971i | 0.592146 | + | 0.805831i | \(0.298281\pi\) |
−0.952711 | + | 0.303877i | \(0.901719\pi\) | |||||||
\(588\) | −1.38328e18 | − | 1.00501e18i | −1.38025 | − | 1.00281i | ||||
\(589\) | 5.56037e16 | + | 4.03984e16i | 0.0548724 | + | 0.0398672i | ||||
\(590\) | 1.12951e17 | − | 3.47629e17i | 0.110244 | − | 0.339295i | ||||
\(591\) | 3.40687e17 | + | 1.04853e18i | 0.328879 | + | 1.01219i | ||||
\(592\) | −8.09355e17 | + | 5.88031e17i | −0.772766 | + | 0.561447i | ||||
\(593\) | 4.96791e17 | 0.469157 | 0.234578 | − | 0.972097i | \(-0.424629\pi\) | ||||
0.234578 | + | 0.972097i | \(0.424629\pi\) | |||||||
\(594\) | 2.26813e17 | − | 1.55272e18i | 0.211864 | − | 1.45038i | ||||
\(595\) | −7.41624e17 | −0.685209 | ||||||||
\(596\) | −1.23673e18 | + | 8.98538e17i | −1.13025 | + | 0.821175i | ||||
\(597\) | −5.95751e16 | − | 1.83353e17i | −0.0538557 | − | 0.165751i | ||||
\(598\) | 4.30640e17 | − | 1.32537e18i | 0.385085 | − | 1.18517i | ||||
\(599\) | 8.82561e16 | + | 6.41218e16i | 0.0780675 | + | 0.0567194i | 0.626134 | − | 0.779715i | \(-0.284636\pi\) |
−0.548067 | + | 0.836434i | \(0.684636\pi\) | |||||||
\(600\) | −3.93201e16 | − | 2.85678e16i | −0.0344058 | − | 0.0249973i | ||||
\(601\) | −2.95913e16 | + | 9.10727e16i | −0.0256142 | + | 0.0788323i | −0.963046 | − | 0.269335i | \(-0.913196\pi\) |
0.937432 | + | 0.348168i | \(0.113196\pi\) | |||||||
\(602\) | 9.72115e17 | + | 2.99186e18i | 0.832416 | + | 2.56191i | ||||
\(603\) | −4.07700e17 | + | 2.96212e17i | −0.345365 | + | 0.250922i | ||||
\(604\) | −6.94187e17 | −0.581750 | ||||||||
\(605\) | −5.44063e17 | − | 7.12155e17i | −0.451065 | − | 0.590425i | ||||
\(606\) | 1.54953e18 | 1.27095 | ||||||||
\(607\) | −7.62306e17 | + | 5.53848e17i | −0.618590 | + | 0.449432i | −0.852429 | − | 0.522843i | \(-0.824871\pi\) |
0.233839 | + | 0.972275i | \(0.424871\pi\) | |||||||
\(608\) | −3.63701e16 | − | 1.11936e17i | −0.0291993 | − | 0.0898661i | ||||
\(609\) | 2.03204e17 | − | 6.25399e17i | 0.161406 | − | 0.496758i | ||||
\(610\) | −7.38823e17 | − | 5.36786e17i | −0.580626 | − | 0.421850i | ||||
\(611\) | −5.05291e17 | − | 3.67115e17i | −0.392892 | − | 0.285453i | ||||
\(612\) | −8.65453e16 | + | 2.66359e17i | −0.0665823 | + | 0.204919i | ||||
\(613\) | −2.74463e17 | − | 8.44712e17i | −0.208925 | − | 0.643006i | −0.999529 | − | 0.0306785i | \(-0.990233\pi\) |
0.790604 | − | 0.612328i | \(-0.209767\pi\) | |||||||
\(614\) | −1.21074e18 | + | 8.79651e17i | −0.911916 | + | 0.662546i | ||||
\(615\) | −7.74860e17 | −0.577477 | ||||||||
\(616\) | 5.00655e16 | − | 3.42739e17i | 0.0369202 | − | 0.252749i | ||||
\(617\) | 2.50053e17 | 0.182464 | 0.0912322 | − | 0.995830i | \(-0.470919\pi\) | ||||
0.0912322 | + | 0.995830i | \(0.470919\pi\) | |||||||
\(618\) | 2.03671e18 | − | 1.47976e18i | 1.47064 | − | 1.06848i | ||||
\(619\) | −2.87874e17 | − | 8.85984e17i | −0.205690 | − | 0.633048i | −0.999684 | − | 0.0251232i | \(-0.992002\pi\) |
0.793995 | − | 0.607925i | \(-0.207998\pi\) | |||||||
\(620\) | 2.87710e17 | − | 8.85482e17i | 0.203427 | − | 0.626085i | ||||
\(621\) | −7.27989e17 | − | 5.28915e17i | −0.509365 | − | 0.370076i | ||||
\(622\) | −2.40123e18 | − | 1.74460e18i | −1.66264 | − | 1.20798i | ||||
\(623\) | −1.51942e17 | + | 4.67629e17i | −0.104113 | + | 0.320427i | ||||
\(624\) | 5.36964e17 | + | 1.65260e18i | 0.364120 | + | 1.12065i | ||||
\(625\) | 4.23637e17 | − | 3.07790e17i | 0.284298 | − | 0.206554i | ||||
\(626\) | 4.09179e18 | 2.71757 | ||||||||
\(627\) | −3.47453e16 | − | 6.62101e16i | −0.0228380 | − | 0.0435196i | ||||
\(628\) | 1.24093e18 | 0.807254 | ||||||||
\(629\) | 5.32249e17 | − | 3.86701e17i | 0.342677 | − | 0.248970i | ||||
\(630\) | 4.70297e17 | + | 1.44743e18i | 0.299681 | + | 0.922322i | ||||
\(631\) | −4.22041e17 | + | 1.29891e18i | −0.266173 | + | 0.819195i | 0.725248 | + | 0.688488i | \(0.241725\pi\) |
−0.991421 | + | 0.130708i | \(0.958275\pi\) | |||||||
\(632\) | 6.97180e16 | + | 5.06531e16i | 0.0435195 | + | 0.0316188i | ||||
\(633\) | −1.16750e18 | − | 8.48238e17i | −0.721328 | − | 0.524075i | ||||
\(634\) | 6.09301e17 | − | 1.87524e18i | 0.372608 | − | 1.14677i | ||||
\(635\) | 5.39973e17 | + | 1.66187e18i | 0.326846 | + | 1.00593i | ||||
\(636\) | 1.38724e18 | − | 1.00789e18i | 0.831150 | − | 0.603865i | ||||
\(637\) | −6.83048e18 | −4.05084 | ||||||||
\(638\) | −8.90061e17 | + | 1.51970e17i | −0.522499 | + | 0.0892121i | ||||
\(639\) | 9.04792e17 | 0.525767 | ||||||||
\(640\) | 2.77842e17 | − | 2.01864e17i | 0.159819 | − | 0.116115i | ||||
\(641\) | 3.45960e17 | + | 1.06475e18i | 0.196992 | + | 0.606279i | 0.999948 | + | 0.0102400i | \(0.00325955\pi\) |
−0.802956 | + | 0.596039i | \(0.796740\pi\) | |||||||
\(642\) | −5.23672e17 | + | 1.61170e18i | −0.295176 | + | 0.908460i | ||||
\(643\) | 2.14638e18 | + | 1.55944e18i | 1.19767 | + | 0.870155i | 0.994053 | − | 0.108897i | \(-0.0347318\pi\) |
0.203612 | + | 0.979052i | \(0.434732\pi\) | |||||||
\(644\) | 1.49907e18 | + | 1.08914e18i | 0.828066 | + | 0.601625i | ||||
\(645\) | −3.04729e17 | + | 9.37858e17i | −0.166638 | + | 0.512860i | ||||
\(646\) | 2.62553e16 | + | 8.08055e16i | 0.0142137 | + | 0.0437451i | ||||
\(647\) | 1.80458e18 | − | 1.31111e18i | 0.967161 | − | 0.702684i | 0.0123585 | − | 0.999924i | \(-0.496066\pi\) |
0.954803 | + | 0.297240i | \(0.0960661\pi\) | |||||||
\(648\) | 6.55840e16 | 0.0347985 | ||||||||
\(649\) | −5.93925e17 | − | 2.93674e17i | −0.311990 | − | 0.154268i | ||||
\(650\) | 1.81128e18 | 0.941994 | ||||||||
\(651\) | 2.09529e18 | − | 1.52232e18i | 1.07887 | − | 0.783844i | ||||
\(652\) | 4.66243e17 | + | 1.43495e18i | 0.237686 | + | 0.731521i | ||||
\(653\) | −6.95826e17 | + | 2.14153e18i | −0.351208 | + | 1.08091i | 0.606967 | + | 0.794727i | \(0.292386\pi\) |
−0.958175 | + | 0.286181i | \(0.907614\pi\) | |||||||
\(654\) | 8.94178e17 | + | 6.49659e17i | 0.446857 | + | 0.324661i | ||||
\(655\) | 5.22054e16 | + | 3.79294e16i | 0.0258313 | + | 0.0187676i | ||||
\(656\) | −7.49959e17 | + | 2.30814e18i | −0.367420 | + | 1.13080i | ||||
\(657\) | −3.46349e17 | − | 1.06595e18i | −0.168011 | − | 0.517086i | ||||
\(658\) | 1.41573e18 | − | 1.02859e18i | 0.680003 | − | 0.494051i | ||||
\(659\) | −2.30387e18 | −1.09573 | −0.547865 | − | 0.836567i | \(-0.684559\pi\) | ||||
−0.547865 | + | 0.836567i | \(0.684559\pi\) | |||||||
\(660\) | −7.07570e17 | + | 7.24804e17i | −0.333222 | + | 0.341338i | ||||
\(661\) | 2.91607e18 | 1.35984 | 0.679921 | − | 0.733285i | \(-0.262014\pi\) | ||||
0.679921 | + | 0.733285i | \(0.262014\pi\) | |||||||
\(662\) | −6.30050e17 | + | 4.57758e17i | −0.290936 | + | 0.211378i | ||||
\(663\) | −3.53119e17 | − | 1.08679e18i | −0.161467 | − | 0.496943i | ||||
\(664\) | 6.11433e16 | − | 1.88180e17i | 0.0276857 | − | 0.0852080i | ||||
\(665\) | 1.77262e17 | + | 1.28789e17i | 0.0794833 | + | 0.0577480i | ||||
\(666\) | −1.09225e18 | − | 7.93564e17i | −0.484996 | − | 0.352370i | ||||
\(667\) | −1.60004e17 | + | 4.92441e17i | −0.0703579 | + | 0.216539i | ||||
\(668\) | −4.39871e17 | − | 1.35378e18i | −0.191548 | − | 0.589525i | ||||
\(669\) | −1.16968e18 | + | 8.49821e17i | −0.504425 | + | 0.366486i | ||||
\(670\) | 2.07102e18 | 0.884501 | ||||||||
\(671\) | −1.15637e18 | + | 1.18454e18i | −0.489105 | + | 0.501017i | ||||
\(672\) | −4.43511e18 | −1.85782 | ||||||||
\(673\) | −8.58283e17 | + | 6.23579e17i | −0.356068 | + | 0.258698i | −0.751410 | − | 0.659835i | \(-0.770626\pi\) |
0.395342 | + | 0.918534i | \(0.370626\pi\) | |||||||
\(674\) | 2.70765e17 | + | 8.33328e17i | 0.111251 | + | 0.342394i | ||||
\(675\) | 3.61412e17 | − | 1.11231e18i | 0.147071 | − | 0.452639i | ||||
\(676\) | −2.39979e18 | − | 1.74355e18i | −0.967206 | − | 0.702717i | ||||
\(677\) | 6.39516e16 | + | 4.64635e16i | 0.0255285 | + | 0.0185475i | 0.600476 | − | 0.799643i | \(-0.294978\pi\) |
−0.574948 | + | 0.818190i | \(0.694978\pi\) | |||||||
\(678\) | −2.03745e17 | + | 6.27064e17i | −0.0805554 | + | 0.247924i | ||||
\(679\) | 2.56941e17 | + | 7.90783e17i | 0.100619 | + | 0.309673i | ||||
\(680\) | −9.98138e16 | + | 7.25190e16i | −0.0387153 | + | 0.0281283i | ||||
\(681\) | −4.42605e17 | −0.170044 | ||||||||
\(682\) | −3.18787e18 | − | 1.57628e18i | −1.21311 | − | 0.599840i | ||||
\(683\) | −1.49854e18 | −0.564851 | −0.282426 | − | 0.959289i | \(-0.591139\pi\) | ||||
−0.282426 | + | 0.959289i | \(0.591139\pi\) | |||||||
\(684\) | 6.69413e16 | − | 4.86357e16i | 0.0249936 | − | 0.0181589i | ||||
\(685\) | 1.15974e17 | + | 3.56932e17i | 0.0428916 | + | 0.132007i | ||||
\(686\) | 3.68843e18 | − | 1.13518e19i | 1.35125 | − | 4.15871i | ||||
\(687\) | 1.77971e18 | + | 1.29303e18i | 0.645847 | + | 0.469235i | ||||
\(688\) | 2.49874e18 | + | 1.81544e18i | 0.898247 | + | 0.652615i | ||||
\(689\) | 2.11677e18 | − | 6.51475e18i | 0.753788 | − | 2.31992i | ||||
\(690\) | 3.78223e17 | + | 1.16405e18i | 0.133423 | + | 0.410632i | ||||
\(691\) | −2.12835e16 | + | 1.54633e16i | −0.00743764 | + | 0.00540376i | −0.591498 | − | 0.806307i | \(-0.701463\pi\) |
0.584060 | + | 0.811710i | \(0.301463\pi\) | |||||||
\(692\) | −3.01170e18 | −1.04261 | ||||||||
\(693\) | 2.71937e18 | − | 4.64309e17i | 0.932615 | − | 0.159236i | ||||
\(694\) | 1.35718e18 | 0.461107 | ||||||||
\(695\) | 1.33980e18 | − | 9.73420e17i | 0.450960 | − | 0.327641i | ||||
\(696\) | −3.38051e16 | − | 1.04041e17i | −0.0112726 | − | 0.0346934i | ||||
\(697\) | 4.93189e17 | − | 1.51788e18i | 0.162930 | − | 0.501446i | ||||
\(698\) | −2.10392e18 | − | 1.52859e18i | −0.688604 | − | 0.500300i | ||||
\(699\) | −2.56240e18 | − | 1.86169e18i | −0.830893 | − | 0.603679i | ||||
\(700\) | −7.44219e17 | + | 2.29047e18i | −0.239091 | + | 0.735847i | ||||
\(701\) | −8.68875e17 | − | 2.67412e18i | −0.276561 | − | 0.851166i | −0.988802 | − | 0.149232i | \(-0.952320\pi\) |
0.712242 | − | 0.701934i | \(-0.247680\pi\) | |||||||
\(702\) | −5.73198e18 | + | 4.16452e18i | −1.80765 | + | 1.31333i | ||||
\(703\) | −1.94371e17 | −0.0607327 | ||||||||
\(704\) | 1.19763e18 | + | 2.28218e18i | 0.370767 | + | 0.706527i | ||||
\(705\) | 5.48551e17 | 0.168263 | ||||||||
\(706\) | −1.84318e18 | + | 1.33915e18i | −0.560193 | + | 0.407004i | ||||
\(707\) | 2.54340e18 | + | 7.82778e18i | 0.765929 | + | 2.35729i | ||||
\(708\) | −2.31409e17 | + | 7.12203e17i | −0.0690500 | + | 0.212514i | ||||
\(709\) | −5.37217e17 | − | 3.90311e17i | −0.158836 | − | 0.115401i | 0.505528 | − | 0.862810i | \(-0.331298\pi\) |
−0.664364 | + | 0.747409i | \(0.731298\pi\) | |||||||
\(710\) | −3.00820e18 | − | 2.18559e18i | −0.881309 | − | 0.640308i | ||||
\(711\) | −2.12095e17 | + | 6.52761e17i | −0.0615712 | + | 0.189497i | ||||
\(712\) | 2.52771e16 | + | 7.77948e16i | 0.00727121 | + | 0.0223785i | ||||
\(713\) | −1.64984e18 | + | 1.19868e18i | −0.470284 | + | 0.341682i | ||||
\(714\) | 3.20167e18 | 0.904352 | ||||||||
\(715\) | −5.84873e17 | + | 4.00393e18i | −0.163709 | + | 1.12072i | ||||
\(716\) | 1.37002e17 | 0.0380008 | ||||||||
\(717\) | 2.60156e18 | − | 1.89014e18i | 0.715087 | − | 0.519541i | ||||
\(718\) | −2.72388e18 | − | 8.38324e18i | −0.741957 | − | 2.28351i | ||||
\(719\) | −9.26425e17 | + | 2.85124e18i | −0.250076 | + | 0.769655i | 0.744684 | + | 0.667417i | \(0.232600\pi\) |
−0.994760 | + | 0.102238i | \(0.967400\pi\) | |||||||
\(720\) | 1.20886e18 | + | 8.78287e17i | 0.323381 | + | 0.234950i | ||||
\(721\) | 1.08184e19 | + | 7.86001e18i | 2.86803 | + | 2.08374i | ||||
\(722\) | −1.61485e18 | + | 4.97001e18i | −0.424269 | + | 1.30577i | ||||
\(723\) | 4.00823e15 | + | 1.23361e16i | 0.00104365 | + | 0.00321202i | ||||
\(724\) | 2.14384e18 | − | 1.55759e18i | 0.553213 | − | 0.401933i | ||||
\(725\) | −6.72978e17 | −0.172109 | ||||||||
\(726\) | 2.34878e18 | + | 3.07445e18i | 0.595324 | + | 0.779254i | ||||
\(727\) | −1.89263e18 | −0.475437 | −0.237719 | − | 0.971334i | \(-0.576400\pi\) | ||||
−0.237719 | + | 0.971334i | \(0.576400\pi\) | |||||||
\(728\) | −1.26524e18 | + | 9.19253e17i | −0.315007 | + | 0.228866i | ||||
\(729\) | 1.10723e18 | + | 3.40769e18i | 0.273217 | + | 0.840875i | ||||
\(730\) | −1.42336e18 | + | 4.38065e18i | −0.348110 | + | 1.07137i | ||||
\(731\) | −1.64322e18 | − | 1.19387e18i | −0.398321 | − | 0.289397i | ||||
\(732\) | 1.51366e18 | + | 1.09974e18i | 0.363669 | + | 0.264221i | ||||
\(733\) | 1.57870e18 | − | 4.85874e18i | 0.375945 | − | 1.15704i | −0.566894 | − | 0.823790i | \(-0.691855\pi\) |
0.942839 | − | 0.333248i | \(-0.108145\pi\) | |||||||
\(734\) | −1.93598e18 | − | 5.95833e18i | −0.456958 | − | 1.40637i | ||||
\(735\) | 4.85336e18 | − | 3.52617e18i | 1.13547 | − | 0.824965i | ||||
\(736\) | 3.49222e18 | 0.809834 | ||||||||
\(737\) | 5.42617e17 | − | 3.71465e18i | 0.124725 | − | 0.853846i | ||||
\(738\) | −3.27520e18 | −0.746227 | ||||||||
\(739\) | 2.32136e18 | − | 1.68656e18i | 0.524267 | − | 0.380903i | −0.293942 | − | 0.955823i | \(-0.594967\pi\) |
0.818209 | + | 0.574921i | \(0.194967\pi\) | |||||||
\(740\) | 8.13658e17 | + | 2.50418e18i | 0.182153 | + | 0.560609i | ||||
\(741\) | −1.04327e17 | + | 3.21085e17i | −0.0231514 | + | 0.0712527i | ||||
\(742\) | 1.55270e19 | + | 1.12810e19i | 3.41556 | + | 2.48155i | ||||
\(743\) | −5.43529e18 | − | 3.94897e18i | −1.18521 | − | 0.861106i | −0.192461 | − | 0.981305i | \(-0.561647\pi\) |
−0.992750 | + | 0.120198i | \(0.961647\pi\) | |||||||
\(744\) | 1.33143e17 | − | 4.09773e17i | 0.0287803 | − | 0.0885766i | ||||
\(745\) | −1.65742e18 | − | 5.10101e18i | −0.355154 | − | 1.09305i | ||||
\(746\) | −5.73620e18 | + | 4.16759e18i | −1.21849 | + | 0.885285i | ||||
\(747\) | 1.57589e18 | 0.331851 | ||||||||
\(748\) | −9.69464e17 | − | 1.84739e18i | −0.202382 | − | 0.385655i | ||||
\(749\) | −9.00138e18 | −1.86285 | ||||||||
\(750\) | −4.16014e18 | + | 3.02252e18i | −0.853511 | + | 0.620112i | ||||
\(751\) | −2.63084e18 | − | 8.09689e18i | −0.535100 | − | 1.64687i | −0.743433 | − | 0.668810i | \(-0.766804\pi\) |
0.208334 | − | 0.978058i | \(-0.433196\pi\) | |||||||
\(752\) | 5.30923e17 | − | 1.63401e18i | 0.107057 | − | 0.329488i | ||||
\(753\) | −3.88073e18 | − | 2.81952e18i | −0.775794 | − | 0.563647i | ||||
\(754\) | 3.29826e18 | + | 2.39633e18i | 0.653690 | + | 0.474933i | ||||
\(755\) | 7.52647e17 | − | 2.31641e18i | 0.147889 | − | 0.455156i | ||||
\(756\) | −2.91114e18 | − | 8.95955e18i | −0.567115 | − | 1.74540i | ||||
\(757\) | −3.22119e18 | + | 2.34033e18i | −0.622147 | + | 0.452016i | −0.853671 | − | 0.520813i | \(-0.825629\pi\) |
0.231524 | + | 0.972829i | \(0.425629\pi\) | |||||||
\(758\) | 8.26264e18 | 1.58223 | ||||||||
\(759\) | 2.18698e18 | − | 3.73407e17i | 0.415215 | − | 0.0708943i | ||||
\(760\) | 3.64509e16 | 0.00686152 | ||||||||
\(761\) | 3.58812e18 | − | 2.60692e18i | 0.669679 | − | 0.486550i | −0.200239 | − | 0.979747i | \(-0.564172\pi\) |
0.869918 | + | 0.493197i | \(0.164172\pi\) | |||||||
\(762\) | −2.33112e18 | − | 7.17445e18i | −0.431378 | − | 1.32764i | ||||
\(763\) | −1.81418e18 | + | 5.58348e18i | −0.332868 | + | 1.02446i | ||||
\(764\) | 3.94589e18 | + | 2.86686e18i | 0.717858 | + | 0.521554i | ||||
\(765\) | −7.94970e17 | − | 5.77580e17i | −0.143401 | − | 0.104187i | ||||
\(766\) | −1.26007e18 | + | 3.87809e18i | −0.225376 | + | 0.693635i | ||||
\(767\) | 9.24439e17 | + | 2.84513e18i | 0.163949 | + | 0.504583i | ||||
\(768\) | −3.80877e18 | + | 2.76723e18i | −0.669786 | + | 0.486628i | ||||
\(769\) | 7.60350e18 | 1.32584 | 0.662921 | − | 0.748689i | \(-0.269316\pi\) | ||||
0.662921 | + | 0.748689i | \(0.269316\pi\) | |||||||
\(770\) | −1.01628e19 | − | 5.02512e18i | −1.75721 | − | 0.868874i | ||||
\(771\) | −1.01084e18 | −0.173312 | ||||||||
\(772\) | −3.00897e18 | + | 2.18614e18i | −0.511570 | + | 0.371677i | ||||
\(773\) | 1.76559e18 | + | 5.43393e18i | 0.297662 | + | 0.916109i | 0.982314 | + | 0.187239i | \(0.0599540\pi\) |
−0.684652 | + | 0.728870i | \(0.740046\pi\) | |||||||
\(774\) | −1.28803e18 | + | 3.96416e18i | −0.215333 | + | 0.662728i | ||||
\(775\) | −2.14435e18 | − | 1.55796e18i | −0.355496 | − | 0.258283i | ||||
\(776\) | 1.11907e17 | + | 8.13054e16i | 0.0183974 | + | 0.0133665i | ||||
\(777\) | −2.26337e18 | + | 6.96595e18i | −0.368994 | + | 1.13565i | ||||
\(778\) | 1.07014e18 | + | 3.29356e18i | 0.173011 | + | 0.532474i | ||||
\(779\) | −3.81473e17 | + | 2.77157e17i | −0.0611604 | + | 0.0444357i | ||||
\(780\) | 4.57342e18 | 0.727153 | ||||||||
\(781\) | −4.70831e18 | + | 4.82298e18i | −0.742392 | + | 0.760474i | ||||
\(782\) | −2.52101e18 | −0.394212 | ||||||||
\(783\) | 2.12971e18 | − | 1.54732e18i | 0.330270 | − | 0.239955i | ||||
\(784\) | −5.80629e18 | − | 1.78699e19i | −0.892986 | − | 2.74833i | ||||
\(785\) | −1.34543e18 | + | 4.14082e18i | −0.205215 | + | 0.631588i | ||||
\(786\) | −2.25376e17 | − | 1.63745e17i | −0.0340927 | − | 0.0247698i | ||||
\(787\) | 1.86549e18 | + | 1.35536e18i | 0.279870 | + | 0.203338i | 0.718861 | − | 0.695154i | \(-0.244664\pi\) |
−0.438991 | + | 0.898492i | \(0.644664\pi\) | |||||||
\(788\) | 2.80844e18 | − | 8.64350e18i | 0.417874 | − | 1.28608i | ||||
\(789\) | −2.15141e18 | − | 6.62137e18i | −0.317485 | − | 0.977118i | ||||
\(790\) | 2.28195e18 | − | 1.65793e18i | 0.333988 | − | 0.242656i | ||||
\(791\) | −3.50217e18 | −0.508382 | ||||||||
\(792\) | 3.20593e17 | − | 3.28402e17i | 0.0461574 | − | 0.0472816i | ||||
\(793\) | 7.47428e18 | 1.06732 | ||||||||
\(794\) | 1.01352e19 | − | 7.36365e18i | 1.43549 | − | 1.04294i | ||||
\(795\) | 1.85912e18 | + | 5.72178e18i | 0.261169 | + | 0.803795i | ||||
\(796\) | −4.91106e17 | + | 1.51147e18i | −0.0684291 | + | 0.210603i | ||||
\(797\) | −5.82474e18 | − | 4.23192e18i | −0.805002 | − | 0.584869i | 0.107375 | − | 0.994219i | \(-0.465755\pi\) |
−0.912377 | + | 0.409350i | \(0.865755\pi\) | |||||||
\(798\) | −7.65260e17 | − | 5.55994e17i | −0.104904 | − | 0.0762169i | ||||
\(799\) | −3.49146e17 | + | 1.07456e18i | −0.0474737 | + | 0.146109i | ||||
\(800\) | 1.40261e18 | + | 4.31679e18i | 0.189170 | + | 0.582205i | ||||
\(801\) | −5.27063e17 | + | 3.82934e17i | −0.0705101 | + | 0.0512286i | ||||
\(802\) | −4.48658e18 | −0.595363 | ||||||||
\(803\) | 7.48436e18 | + | 3.70074e18i | 0.985153 | + | 0.487121i | ||||
\(804\) | −4.24299e18 | −0.553998 | ||||||||
\(805\) | −5.25964e18 | + | 3.82135e18i | −0.681212 | + | 0.494930i | ||||
\(806\) | 4.96189e18 | + | 1.52711e19i | 0.637484 | + | 1.96197i | ||||
\(807\) | 6.88656e17 | − | 2.11947e18i | 0.0877656 | − | 0.270115i | ||||
\(808\) | 1.10774e18 | + | 8.04823e17i | 0.140044 | + | 0.101748i | ||||
\(809\) | 7.90381e18 | + | 5.74245e18i | 0.991222 | + | 0.720165i | 0.960188 | − | 0.279353i | \(-0.0901200\pi\) |
0.0310340 | + | 0.999518i | \(0.490120\pi\) | |||||||
\(810\) | 6.63348e17 | − | 2.04157e18i | 0.0825256 | − | 0.253988i | ||||
\(811\) | −4.87669e18 | − | 1.50089e19i | −0.601852 | − | 1.85231i | −0.517131 | − | 0.855906i | \(-0.673000\pi\) |
−0.0847213 | − | 0.996405i | \(-0.527000\pi\) | |||||||
\(812\) | −4.38550e18 | + | 3.18625e18i | −0.536914 | + | 0.390091i | ||||
\(813\) | −4.58805e18 | −0.557237 | ||||||||
\(814\) | 9.91386e18 | − | 1.69271e18i | 1.19450 | − | 0.203950i | ||||
\(815\) | −5.29373e18 | −0.632758 | ||||||||
\(816\) | 2.54309e18 | − | 1.84766e18i | 0.301561 | − | 0.219097i | ||||
\(817\) | 1.85437e17 | + | 5.70717e17i | 0.0218149 | + | 0.0671394i | ||||
\(818\) | 9.12768e17 | − | 2.80921e18i | 0.106528 | − | 0.327860i | ||||
\(819\) | −1.00771e19 | − | 7.32142e18i | −1.16678 | − | 0.847715i | ||||
\(820\) | 5.16763e18 | + | 3.75450e18i | 0.593610 | + | 0.431283i | ||||
\(821\) | −4.05162e18 | + | 1.24696e19i | −0.461741 | + | 1.42109i | 0.401295 | + | 0.915949i | \(0.368560\pi\) |
−0.863036 | + | 0.505143i | \(0.831440\pi\) | |||||||
\(822\) | −5.00673e17 | − | 1.54091e18i | −0.0566092 | − | 0.174225i | ||||
\(823\) | 2.79646e18 | − | 2.03175e18i | 0.313696 | − | 0.227914i | −0.419785 | − | 0.907624i | \(-0.637894\pi\) |
0.733481 | + | 0.679710i | \(0.237894\pi\) | |||||||
\(824\) | 2.22461e18 | 0.247587 | ||||||||
\(825\) | 1.33995e18 | + | 2.55338e18i | 0.147958 | + | 0.281946i | ||||
\(826\) | −8.38173e18 | −0.918256 | ||||||||
\(827\) | 9.21807e18 | − | 6.69732e18i | 1.00197 | − | 0.727973i | 0.0394592 | − | 0.999221i | \(-0.487436\pi\) |
0.962509 | + | 0.271248i | \(0.0874365\pi\) | |||||||
\(828\) | 7.58678e17 | + | 2.33497e18i | 0.0818202 | + | 0.251817i | ||||
\(829\) | 1.96112e18 | − | 6.03571e18i | 0.209846 | − | 0.645839i | −0.789634 | − | 0.613578i | \(-0.789729\pi\) |
0.999480 | − | 0.0322602i | \(-0.0102705\pi\) | |||||||
\(830\) | −5.23944e18 | − | 3.80668e18i | −0.556260 | − | 0.404146i | ||||
\(831\) | 6.22801e18 | + | 4.52491e18i | 0.656058 | + | 0.476654i | ||||
\(832\) | 3.59602e18 | − | 1.10674e19i | 0.375855 | − | 1.15676i | ||||
\(833\) | 3.81834e18 | + | 1.17516e19i | 0.395988 | + | 1.21873i | ||||
\(834\) | −5.78404e18 | + | 4.20235e18i | −0.595185 | + | 0.432428i | ||||
\(835\) | 4.99431e18 | 0.509933 | ||||||||
\(836\) | −8.90936e16 | + | 6.09918e17i | −0.00902621 | + | 0.0617918i | ||||
\(837\) | 1.03681e19 | 1.04228 | ||||||||
\(838\) | −1.17672e19 | + | 8.54934e18i | −1.17378 | + | 0.852798i | ||||
\(839\) | −3.56950e18 | − | 1.09858e19i | −0.353309 | − | 1.08737i | −0.956983 | − | 0.290143i | \(-0.906297\pi\) |
0.603674 | − | 0.797231i | \(-0.293703\pi\) | |||||||
\(840\) | 4.24456e17 | − | 1.30634e18i | 0.0416886 | − | 0.128304i | ||||
\(841\) | 7.07556e18 | + | 5.14069e18i | 0.689583 | + | 0.501011i | ||||
\(842\) | 4.45271e18 | + | 3.23508e18i | 0.430622 | + | 0.312865i | ||||
\(843\) | 7.62070e17 | − | 2.34541e18i | 0.0731334 | − | 0.225081i | ||||
\(844\) | 3.67614e18 | + | 1.13140e19i | 0.350079 | + | 1.07743i | ||||
\(845\) | 8.41986e18 | − | 6.11739e18i | 0.795676 | − | 0.578093i | ||||
\(846\) | 2.31863e18 | 0.217432 | ||||||||
\(847\) | −1.16759e19 | + | 1.69117e19i | −1.08655 | + | 1.57379i | ||||
\(848\) | 1.88433e19 | 1.74014 | ||||||||
\(849\) | −1.11795e19 | + | 8.12237e18i | −1.02452 | + | 0.744359i | ||||
\(850\) | −1.01253e18 | − | 3.11625e18i | −0.0920843 | − | 0.283406i | ||||
\(851\) | 1.78219e18 | − | 5.48501e18i | 0.160847 | − | 0.495035i | ||||
\(852\) | 6.16304e18 | + | 4.47771e18i | 0.551999 | + | 0.401050i | ||||
\(853\) | −7.88030e18 | − | 5.72537e18i | −0.700445 | − | 0.508903i | 0.179632 | − | 0.983734i | \(-0.442509\pi\) |
−0.880077 | + | 0.474831i | \(0.842509\pi\) | |||||||
\(854\) | −6.47128e18 | + | 1.99165e19i | −0.570839 | + | 1.75686i | ||||
\(855\) | 8.97121e16 | + | 2.76105e17i | 0.00785365 | + | 0.0241710i | ||||
\(856\) | −1.21148e18 | + | 8.80192e17i | −0.105254 | + | 0.0764712i | ||||
\(857\) | −1.89871e19 | −1.63713 | −0.818567 | − | 0.574411i | \(-0.805231\pi\) | ||||
−0.818567 | + | 0.574411i | \(0.805231\pi\) | |||||||
\(858\) | 2.52496e18 | − | 1.72854e19i | 0.216066 | − | 1.47915i | ||||
\(859\) | −2.14344e17 | −0.0182036 | −0.00910179 | − | 0.999959i | \(-0.502897\pi\) | ||||
−0.00910179 | + | 0.999959i | \(0.502897\pi\) | |||||||
\(860\) | 6.57656e18 | − | 4.77815e18i | 0.554318 | − | 0.402736i | ||||
\(861\) | 5.49073e18 | + | 1.68987e19i | 0.459314 | + | 1.41362i | ||||
\(862\) | 5.44983e18 | − | 1.67728e19i | 0.452466 | − | 1.39255i | ||||
\(863\) | 1.05785e19 | + | 7.68575e18i | 0.871676 | + | 0.633310i | 0.931036 | − | 0.364927i | \(-0.118906\pi\) |
−0.0593599 | + | 0.998237i | \(0.518906\pi\) | |||||||
\(864\) | −1.43639e19 | − | 1.04360e19i | −1.17472 | − | 0.853484i | ||||
\(865\) | 3.26533e18 | − | 1.00496e19i | 0.265047 | − | 0.815729i | ||||
\(866\) | −5.11267e17 | − | 1.57352e18i | −0.0411890 | − | 0.126767i | ||||
\(867\) | 5.51960e18 | − | 4.01023e18i | 0.441351 | − | 0.320660i | ||||
\(868\) | −2.13500e19 | −1.69441 | ||||||||
\(869\) | −2.37585e18 | − | 4.52737e18i | −0.187150 | − | 0.356630i | ||||
\(870\) | −3.58065e18 | −0.279954 | ||||||||
\(871\) | −1.37129e19 | + | 9.96299e18i | −1.06417 | + | 0.773164i | ||||
\(872\) | 3.01808e17 | + | 9.28869e17i | 0.0232473 | + | 0.0715480i | ||||
\(873\) | −3.40442e17 | + | 1.04777e18i | −0.0260286 | + | 0.0801078i | ||||
\(874\) | 6.02569e17 | + | 4.37792e17i | 0.0457280 | + | 0.0332234i | ||||
\(875\) | −2.20973e19 | − | 1.60546e19i | −1.66451 | − | 1.20934i | ||||
\(876\) | 2.91610e18 | − | 8.97484e18i | 0.218035 | − | 0.671042i | ||||
\(877\) | 1.98229e18 | + | 6.10086e18i | 0.147119 | + | 0.452786i | 0.997277 | − | 0.0737409i | \(-0.0234938\pi\) |
−0.850158 | + | 0.526527i | \(0.823494\pi\) | |||||||
\(878\) | 3.41767e18 | − | 2.48309e18i | 0.251777 | − | 0.182927i | ||||
\(879\) | −9.86211e18 | −0.721177 | ||||||||
\(880\) | −1.09723e19 | + | 1.87342e18i | −0.796453 | + | 0.135987i | ||||
\(881\) | −8.42307e18 | −0.606914 | −0.303457 | − | 0.952845i | \(-0.598141\pi\) | ||||
−0.303457 | + | 0.952845i | \(0.598141\pi\) | |||||||
\(882\) | 2.05143e19 | − | 1.49045e19i | 1.46727 | − | 1.06604i | ||||
\(883\) | 1.67881e18 | + | 5.16685e18i | 0.119195 | + | 0.366844i | 0.992799 | − | 0.119793i | \(-0.0382232\pi\) |
−0.873604 | + | 0.486638i | \(0.838223\pi\) | |||||||
\(884\) | −2.91093e18 | + | 8.95891e18i | −0.205159 | + | 0.631416i | ||||
\(885\) | −2.12563e18 | − | 1.54436e18i | −0.148715 | − | 0.108048i | ||||
\(886\) | −1.45542e19 | − | 1.05742e19i | −1.01081 | − | 0.734396i | ||||
\(887\) | 5.54586e18 | − | 1.70684e19i | 0.382354 | − | 1.17676i | −0.556028 | − | 0.831163i | \(-0.687675\pi\) |
0.938382 | − | 0.345600i | \(-0.112325\pi\) | |||||||
\(888\) | 3.76535e17 | + | 1.15886e18i | 0.0257704 | + | 0.0793132i | ||||
\(889\) | 3.24170e19 | − | 2.35523e19i | 2.20247 | − | 1.60019i | ||||
\(890\) | 2.67735e18 | 0.180580 | ||||||||
\(891\) | −3.48804e18 | − | 1.72470e18i | −0.233548 | − | 0.115481i | ||||
\(892\) | 1.19184e19 | 0.792223 | ||||||||
\(893\) | 2.70059e17 | − | 1.96209e17i | 0.0178207 | − | 0.0129475i | ||||
\(894\) | 7.15525e18 | + | 2.20216e19i | 0.468739 | + | 1.44263i | ||||
\(895\) | −1.48539e17 | + | 4.57157e17i | −0.00966033 | + | 0.0297314i | ||||
\(896\) | −6.37123e18 | − | 4.62897e18i | −0.411359 | − | 0.298870i | ||||
\(897\) | −8.10420e18 | − | 5.88805e18i | −0.519469 | − | 0.377416i | ||||
\(898\) | −2.17764e18 | + | 6.70210e18i | −0.138577 | + | 0.426496i | ||||
\(899\) | −1.84358e18 | − | 5.67397e18i | −0.116473 | − | 0.358467i | ||||
\(900\) | −2.58158e18 | + | 1.87563e18i | −0.161923 | + | 0.117644i | ||||
\(901\) | −1.23918e19 | −0.771653 | ||||||||
\(902\) | 1.70433e19 | − | 1.74584e19i | 1.05369 | − | 1.07935i | ||||
\(903\) | 2.26129e19 | 1.38799 | ||||||||
\(904\) | −4.71351e17 | + | 3.42457e17i | −0.0287243 | + | 0.0208694i | ||||
\(905\) | 2.87309e18 | + | 8.84248e18i | 0.173834 | + | 0.535005i | ||||
\(906\) | −3.24925e18 | + | 1.00002e19i | −0.195187 | + | 0.600723i | ||||
\(907\) | −1.29146e19 | − | 9.38303e18i | −0.770255 | − | 0.559623i | 0.131783 | − | 0.991279i | \(-0.457930\pi\) |
−0.902039 | + | 0.431655i | \(0.857930\pi\) | |||||||
\(908\) | 2.95178e18 | + | 2.14460e18i | 0.174794 | + | 0.126995i | ||||
\(909\) | −3.36996e18 | + | 1.03717e19i | −0.198134 | + | 0.609794i | ||||
\(910\) | 1.58183e19 | + | 4.86837e19i | 0.923402 | + | 2.84194i | ||||
\(911\) | −6.59264e18 | + | 4.78983e18i | −0.382111 | + | 0.277620i | −0.762215 | − | 0.647324i | \(-0.775888\pi\) |
0.380104 | + | 0.924944i | \(0.375888\pi\) | |||||||
\(912\) | −9.28708e17 | −0.0534457 | ||||||||
\(913\) | −8.20055e18 | + | 8.40028e18i | −0.468579 | + | 0.479992i | ||||
\(914\) | −2.27057e18 | −0.128820 | ||||||||
\(915\) | −5.31081e18 | + | 3.85853e18i | −0.299174 | + | 0.217363i | ||||
\(916\) | −5.60381e18 | − | 1.72468e19i | −0.313446 | − | 0.964688i | ||||
\(917\) | 4.57262e17 | − | 1.40731e18i | 0.0253959 | − | 0.0781606i | ||||
\(918\) | 1.03692e19 | + | 7.53367e18i | 0.571832 | + | 0.415460i | ||||
\(919\) | 1.21944e19 | + | 8.85973e18i | 0.667742 | + | 0.485143i | 0.869268 | − | 0.494340i | \(-0.164590\pi\) |
−0.201527 | + | 0.979483i | \(0.564590\pi\) | |||||||
\(920\) | −3.34218e17 | + | 1.02862e18i | −0.0181723 | + | 0.0559285i | ||||
\(921\) | 3.32425e18 | + | 1.02310e19i | 0.179476 | + | 0.552371i | ||||
\(922\) | −4.45557e18 | + | 3.23716e18i | −0.238865 | + | 0.173545i | ||||
\(923\) | 3.04324e19 | 1.62004 | ||||||||
\(924\) | 2.08210e19 | + | 1.02952e19i | 1.10061 | + | 0.544210i | ||||
\(925\) | 7.49591e18 | 0.393462 | ||||||||
\(926\) | −2.21858e19 | + | 1.61189e19i | −1.15639 | + | 0.840164i | ||||
\(927\) | 5.47516e18 | + | 1.68508e19i | 0.283386 | + | 0.872173i | ||||
\(928\) | −3.15704e18 | + | 9.71636e18i | −0.162262 | + | 0.499392i | ||||
\(929\) | 2.23672e16 | + | 1.62507e16i | 0.00114159 | + | 0.000829413i | 0.588356 | − | 0.808602i | \(-0.299775\pi\) |
−0.587214 | + | 0.809431i | \(0.699775\pi\) | |||||||
\(930\) | −1.14092e19 | − | 8.28928e18i | −0.578251 | − | 0.420124i | ||||
\(931\) | 1.12811e18 | − | 3.47196e18i | 0.0567776 | − | 0.174744i | ||||
\(932\) | 8.06830e18 | + | 2.48317e19i | 0.403254 | + | 1.24109i | ||||
\(933\) | −1.72606e19 | + | 1.25405e19i | −0.856691 | + | 0.622422i | ||||
\(934\) | −8.71169e18 | −0.429386 | ||||||||
\(935\) | 7.21561e18 | − | 1.23200e18i | 0.353181 | − | 0.0603026i | ||||
\(936\) | −2.07217e18 | −0.100724 | ||||||||
\(937\) | 3.08073e18 | − | 2.23828e18i | 0.148712 | − | 0.108046i | −0.510941 | − | 0.859616i | \(-0.670703\pi\) |
0.659653 | + | 0.751570i | \(0.270703\pi\) | |||||||
\(938\) | −1.46754e19 | − | 4.51664e19i | −0.703514 | − | 2.16519i | ||||
\(939\) | 9.08900e18 | − | 2.79731e19i | 0.432703 | − | 1.33172i | ||||
\(940\) | −3.65835e18 | − | 2.65795e18i | −0.172963 | − | 0.125665i | ||||
\(941\) | 1.51238e19 | + | 1.09881e19i | 0.710115 | + | 0.515928i | 0.883211 | − | 0.468977i | \(-0.155377\pi\) |
−0.173096 | + | 0.984905i | \(0.555377\pi\) | |||||||
\(942\) | 5.80838e18 | − | 1.78764e19i | 0.270847 | − | 0.833581i | ||||
\(943\) | −4.32342e18 | − | 1.33061e19i | −0.200217 | − | 0.616206i | ||||
\(944\) | −6.65763e18 | + | 4.83705e18i | −0.306197 | + | 0.222465i | ||||
\(945\) | 3.30531e19 | 1.50975 | ||||||||
\(946\) | −1.44283e19 | − | 2.74944e19i | −0.654521 | − | 1.24724i | ||||
\(947\) | 3.34746e19 | 1.50814 | 0.754068 | − | 0.656796i | \(-0.228089\pi\) | ||||
0.754068 | + | 0.656796i | \(0.228089\pi\) | |||||||
\(948\) | −4.67514e18 | + | 3.39669e18i | −0.209190 | + | 0.151985i | ||||
\(949\) | −1.16493e19 | − | 3.58530e19i | −0.517692 | − | 1.59329i | ||||
\(950\) | −2.99147e17 | + | 9.20679e17i | −0.0132032 | + | 0.0406354i | ||||
\(951\) | −1.14664e19 | − | 8.33083e18i | −0.502637 | − | 0.365187i | ||||
\(952\) | 2.28884e18 | + | 1.66294e18i | 0.0996495 | + | 0.0723996i | ||||
\(953\) | −1.17634e19 | + | 3.62040e19i | −0.508662 | + | 1.56550i | 0.285865 | + | 0.958270i | \(0.407719\pi\) |
−0.794527 | + | 0.607229i | \(0.792281\pi\) | |||||||
\(954\) | 7.85817e18 | + | 2.41850e19i | 0.337487 | + | 1.03868i | ||||
\(955\) | −1.38445e19 | + | 1.00586e19i | −0.590549 | + | 0.429059i | ||||
\(956\) | −2.65086e19 | −1.12308 | ||||||||
\(957\) | −9.38146e17 | + | 6.42237e18i | −0.0394769 | + | 0.270251i | ||||
\(958\) | 4.99387e18 | 0.208719 | ||||||||
\(959\) | 6.96244e18 | − | 5.05851e18i | 0.289028 | − | 0.209991i | ||||
\(960\) | 3.15832e18 | + | 9.72030e18i | 0.130225 | + | 0.400790i | ||||
\(961\) | −2.84386e17 | + | 8.75250e17i | −0.0116468 | + | 0.0358451i | ||||
\(962\) | −3.67374e19 | − | 2.66913e19i | −1.49441 | − | 1.08575i | ||||
\(963\) | −9.64887e18 | − | 7.01031e18i | −0.389857 | − | 0.283248i | ||||
\(964\) | 3.30418e16 | − | 1.01692e17i | 0.00132606 | − | 0.00408119i | ||||
\(965\) | −4.03250e18 | − | 1.24108e19i | −0.160749 | − | 0.494733i | ||||
\(966\) | 2.27064e19 | − | 1.64972e19i | 0.899077 | − | 0.653218i | ||||
\(967\) | −1.44676e19 | −0.569016 | −0.284508 | − | 0.958674i | \(-0.591830\pi\) | ||||
−0.284508 | + | 0.958674i | \(0.591830\pi\) | |||||||
\(968\) | 8.22547e16 | + | 3.41784e18i | 0.00321345 | + | 0.133525i | ||||
\(969\) | 6.10738e17 | 0.0237001 | ||||||||
\(970\) | 3.66285e18 | − | 2.66122e18i | 0.141190 | − | 0.102580i | ||||
\(971\) | −2.08604e18 | − | 6.42016e18i | −0.0798725 | − | 0.245822i | 0.903145 | − | 0.429337i | \(-0.141253\pi\) |
−0.983017 | + | 0.183514i | \(0.941253\pi\) | |||||||
\(972\) | 6.43776e18 | − | 1.98134e19i | 0.244852 | − | 0.753577i | ||||
\(973\) | −3.07230e19 | − | 2.23216e19i | −1.16073 | − | 0.843318i | ||||
\(974\) | 2.91949e18 | + | 2.12114e18i | 0.109566 | + | 0.0796041i | ||||
\(975\) | 4.02335e18 | − | 1.23826e19i | 0.149988 | − | 0.461617i | ||||
\(976\) | 6.35357e18 | + | 1.95543e19i | 0.235285 | + | 0.724132i | ||||
\(977\) | 4.14117e19 | − | 3.00874e19i | 1.52338 | − | 1.10680i | 0.563602 | − | 0.826047i | \(-0.309415\pi\) |
0.959780 | − | 0.280755i | \(-0.0905847\pi\) | |||||||
\(978\) | 2.28536e19 | 0.835126 | ||||||||
\(979\) | 7.01479e17 | − | 4.80219e18i | 0.0254640 | − | 0.174322i | ||||
\(980\) | −4.94533e19 | −1.78330 | ||||||||
\(981\) | −6.29312e18 | + | 4.57222e18i | −0.225433 | + | 0.163787i | ||||
\(982\) | −1.30891e18 | − | 4.02842e18i | −0.0465785 | − | 0.143354i | ||||
\(983\) | −1.24066e19 | + | 3.81835e19i | −0.438585 | + | 1.34983i | 0.450783 | + | 0.892633i | \(0.351145\pi\) |
−0.889368 | + | 0.457192i | \(0.848855\pi\) | |||||||
\(984\) | 2.39141e18 | + | 1.73746e18i | 0.0839821 | + | 0.0610166i | ||||
\(985\) | 2.57973e19 | + | 1.87428e19i | 0.899991 | + | 0.653881i | ||||
\(986\) | 2.27904e18 | − | 7.01416e18i | 0.0789863 | − | 0.243095i | ||||
\(987\) | −3.88709e18 | − | 1.19632e19i | −0.133833 | − | 0.411895i | ||||
\(988\) | 2.25155e18 | − | 1.63585e18i | 0.0770126 | − | 0.0559529i | ||||
\(989\) | −1.78055e19 | −0.605031 | ||||||||
\(990\) | −6.98024e18 | − | 1.33014e19i | −0.235636 | − | 0.449024i | ||||
\(991\) | 1.40116e19 | 0.469905 | 0.234953 | − | 0.972007i | \(-0.424506\pi\) | ||||
0.234953 | + | 0.972007i | \(0.424506\pi\) | |||||||
\(992\) | −3.25530e19 | + | 2.36512e19i | −1.08459 | + | 0.788001i | ||||
\(993\) | 1.72990e18 | + | 5.32407e18i | 0.0572598 | + | 0.176228i | ||||
\(994\) | −2.63485e19 | + | 8.10925e19i | −0.866453 | + | 2.66667i | ||||
\(995\) | −4.51111e18 | − | 3.27751e18i | −0.147378 | − | 0.107076i | ||||
\(996\) | 1.07343e19 | + | 7.79892e18i | 0.348408 | + | 0.253133i | ||||
\(997\) | −1.29190e19 | + | 3.97606e19i | −0.416591 | + | 1.28214i | 0.494229 | + | 0.869332i | \(0.335450\pi\) |
−0.910820 | + | 0.412804i | \(0.864550\pi\) | |||||||
\(998\) | −2.35627e19 | − | 7.25184e19i | −0.754876 | − | 2.32327i | ||||
\(999\) | −2.37216e19 | + | 1.72347e19i | −0.755036 | + | 0.548566i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 11.14.c.a.3.2 | ✓ | 48 | |
11.2 | odd | 10 | 121.14.a.i.1.4 | 24 | |||
11.4 | even | 5 | inner | 11.14.c.a.4.2 | yes | 48 | |
11.9 | even | 5 | 121.14.a.h.1.21 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.14.c.a.3.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
11.14.c.a.4.2 | yes | 48 | 11.4 | even | 5 | inner | |
121.14.a.h.1.21 | 24 | 11.9 | even | 5 | |||
121.14.a.i.1.4 | 24 | 11.2 | odd | 10 |