Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), degree \(12\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 257.1 | ||
Character | \(\chi\) | \(=\) | 950.257 |
Dual form | 950.2.bb.b.743.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | 1.52626 | + | 0.133530i | 0.881186 | + | 0.0770938i | 0.518761 | − | 0.854919i | \(-0.326393\pi\) |
0.362425 | + | 0.932013i | \(0.381949\pi\) | |||||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.17365 | − | 0.984808i | −0.479140 | − | 0.402046i | ||||
\(7\) | −0.848367 | + | 0.227319i | −0.320653 | + | 0.0859186i | −0.415555 | − | 0.909568i | \(-0.636413\pi\) |
0.0949026 | + | 0.995487i | \(0.469746\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | −0.642788 | − | 0.113341i | −0.214263 | − | 0.0377803i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.39091 | − | 2.40912i | −0.419375 | − | 0.726378i | 0.576502 | − | 0.817096i | \(-0.304417\pi\) |
−0.995877 | + | 0.0907175i | \(0.971084\pi\) | |||||||
\(12\) | 0.396534 | + | 1.47988i | 0.114469 | + | 0.427206i | ||||
\(13\) | −0.512546 | − | 5.85843i | −0.142155 | − | 1.62484i | −0.647602 | − | 0.761979i | \(-0.724228\pi\) |
0.505447 | − | 0.862858i | \(-0.331328\pi\) | |||||||
\(14\) | 0.825326 | + | 0.300394i | 0.220578 | + | 0.0802837i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −0.306331 | + | 0.437486i | −0.0742961 | + | 0.106106i | −0.854580 | − | 0.519319i | \(-0.826186\pi\) |
0.780284 | + | 0.625425i | \(0.215074\pi\) | |||||||
\(18\) | 0.461531 | + | 0.461531i | 0.108784 | + | 0.108784i | ||||
\(19\) | −3.66898 | + | 2.35343i | −0.841721 | + | 0.539913i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.32518 | + | 0.233665i | −0.289178 | + | 0.0509899i | ||||
\(22\) | −0.242451 | + | 2.77123i | −0.0516908 | + | 0.590828i | ||||
\(23\) | 2.73357 | − | 5.86216i | 0.569989 | − | 1.22234i | −0.384231 | − | 0.923237i | \(-0.625533\pi\) |
0.954219 | − | 0.299108i | \(-0.0966890\pi\) | |||||||
\(24\) | 0.524005 | − | 1.43969i | 0.106962 | − | 0.293876i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.94040 | + | 5.09293i | −0.576661 | + | 0.998806i | ||||
\(27\) | −5.40558 | − | 1.44842i | −1.04030 | − | 0.278749i | ||||
\(28\) | −0.503769 | − | 0.719456i | −0.0952033 | − | 0.135964i | ||||
\(29\) | 0.259389 | − | 1.47107i | 0.0481674 | − | 0.273171i | −0.951206 | − | 0.308555i | \(-0.900154\pi\) |
0.999374 | + | 0.0353846i | \(0.0112656\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.95249 | − | 2.28197i | −0.709889 | − | 0.409854i | 0.101131 | − | 0.994873i | \(-0.467754\pi\) |
−0.811020 | + | 0.585019i | \(0.801087\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | −1.80119 | − | 3.86268i | −0.313548 | − | 0.672405i | ||||
\(34\) | 0.501863 | − | 0.182663i | 0.0860688 | − | 0.0313265i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.113341 | − | 0.642788i | −0.0188901 | − | 0.107131i | ||||
\(37\) | 4.22669 | − | 4.22669i | 0.694864 | − | 0.694864i | −0.268434 | − | 0.963298i | \(-0.586506\pi\) |
0.963298 | + | 0.268434i | \(0.0865061\pi\) | |||||||
\(38\) | 4.35532 | + | 0.176623i | 0.706526 | + | 0.0286520i | ||||
\(39\) | − | 9.00992i | − | 1.44274i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.19278 | + | 2.61325i | 0.342454 | + | 0.408121i | 0.909593 | − | 0.415501i | \(-0.136394\pi\) |
−0.567138 | + | 0.823623i | \(0.691949\pi\) | |||||||
\(42\) | 1.21955 | + | 0.568685i | 0.188181 | + | 0.0877501i | ||||
\(43\) | 6.64921 | − | 3.10058i | 1.01400 | − | 0.472834i | 0.156693 | − | 0.987647i | \(-0.449917\pi\) |
0.857302 | + | 0.514814i | \(0.172139\pi\) | |||||||
\(44\) | 1.78812 | − | 2.13100i | 0.269569 | − | 0.321260i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.60161 | + | 3.23409i | −0.825912 | + | 0.476840i | ||||
\(47\) | 1.49147 | − | 1.04434i | 0.217554 | − | 0.152333i | −0.459720 | − | 0.888064i | \(-0.652050\pi\) |
0.677274 | + | 0.735731i | \(0.263161\pi\) | |||||||
\(48\) | −1.25501 | + | 0.878770i | −0.181146 | + | 0.126840i | ||||
\(49\) | −5.39413 | + | 3.11430i | −0.770589 | + | 0.444900i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.525958 | + | 0.626812i | −0.0736488 | + | 0.0877712i | ||||
\(52\) | 5.32982 | − | 2.48534i | 0.739113 | − | 0.344654i | ||||
\(53\) | 3.01279 | + | 1.40489i | 0.413839 | + | 0.192976i | 0.618376 | − | 0.785883i | \(-0.287791\pi\) |
−0.204537 | + | 0.978859i | \(0.565569\pi\) | |||||||
\(54\) | 3.59721 | + | 4.28699i | 0.489518 | + | 0.583385i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.878294i | 0.117367i | ||||||||
\(57\) | −5.91406 | + | 3.10202i | −0.783336 | + | 0.410873i | ||||
\(58\) | −1.05625 | + | 1.05625i | −0.138692 | + | 0.138692i | ||||
\(59\) | −1.12845 | − | 6.39974i | −0.146911 | − | 0.833175i | −0.965813 | − | 0.259241i | \(-0.916528\pi\) |
0.818901 | − | 0.573934i | \(-0.194583\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.643282 | + | 0.234136i | −0.0823638 | + | 0.0299780i | −0.382873 | − | 0.923801i | \(-0.625065\pi\) |
0.300510 | + | 0.953779i | \(0.402843\pi\) | |||||||
\(62\) | 1.92881 | + | 4.13634i | 0.244959 | + | 0.525316i | ||||
\(63\) | 0.571084 | − | 0.0499634i | 0.0719499 | − | 0.00629480i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.740087 | + | 4.19724i | −0.0910984 | + | 0.516645i | ||||
\(67\) | −0.550366 | − | 0.786005i | −0.0672380 | − | 0.0960258i | 0.784125 | − | 0.620603i | \(-0.213112\pi\) |
−0.851363 | + | 0.524577i | \(0.824223\pi\) | |||||||
\(68\) | −0.515873 | − | 0.138228i | −0.0625588 | − | 0.0167626i | ||||
\(69\) | 4.95491 | − | 8.58216i | 0.596501 | − | 1.03317i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.03247 | + | 2.83668i | −0.122531 | + | 0.336652i | −0.985759 | − | 0.168162i | \(-0.946217\pi\) |
0.863228 | + | 0.504814i | \(0.168439\pi\) | |||||||
\(72\) | −0.275844 | + | 0.591550i | −0.0325086 | + | 0.0697149i | ||||
\(73\) | 0.840172 | − | 9.60321i | 0.0983347 | − | 1.12397i | −0.773375 | − | 0.633948i | \(-0.781433\pi\) |
0.871710 | − | 0.490022i | \(-0.163011\pi\) | |||||||
\(74\) | −5.88664 | + | 1.03797i | −0.684308 | + | 0.120662i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.46636 | − | 2.64279i | −0.397619 | − | 0.303149i | ||||
\(77\) | 1.72764 | + | 1.72764i | 0.196883 | + | 0.196883i | ||||
\(78\) | −5.16788 | + | 7.38050i | −0.585147 | + | 0.835677i | ||||
\(79\) | 1.70192 | − | 1.42808i | 0.191481 | − | 0.160672i | −0.542007 | − | 0.840374i | \(-0.682335\pi\) |
0.733488 | + | 0.679702i | \(0.237891\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.21688 | − | 2.26276i | −0.690765 | − | 0.251418i | ||||
\(82\) | −0.297319 | − | 3.39838i | −0.0328334 | − | 0.375288i | ||||
\(83\) | 3.41342 | + | 12.7391i | 0.374672 | + | 1.39829i | 0.853824 | + | 0.520562i | \(0.174277\pi\) |
−0.479152 | + | 0.877732i | \(0.659056\pi\) | |||||||
\(84\) | −0.672812 | − | 1.16535i | −0.0734098 | − | 0.127150i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −7.22513 | − | 1.27399i | −0.779106 | − | 0.137377i | ||||
\(87\) | 0.592328 | − | 2.21060i | 0.0635042 | − | 0.237001i | ||||
\(88\) | −2.68703 | + | 0.719987i | −0.286438 | + | 0.0767509i | ||||
\(89\) | 10.4737 | + | 8.78846i | 1.11021 | + | 0.931575i | 0.998069 | − | 0.0621176i | \(-0.0197854\pi\) |
0.112139 | + | 0.993693i | \(0.464230\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.76656 | + | 4.85359i | 0.185186 | + | 0.508794i | ||||
\(92\) | 6.44356 | + | 0.563739i | 0.671788 | + | 0.0587738i | ||||
\(93\) | −5.72781 | − | 4.01066i | −0.593947 | − | 0.415886i | ||||
\(94\) | −1.82075 | −0.187796 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | −5.53235 | − | 3.87379i | −0.561725 | − | 0.393324i | 0.257945 | − | 0.966160i | \(-0.416955\pi\) |
−0.819670 | + | 0.572835i | \(0.805843\pi\) | |||||||
\(98\) | 6.20490 | + | 0.542858i | 0.626789 | + | 0.0548370i | ||||
\(99\) | 0.621007 | + | 1.70620i | 0.0624135 | + | 0.171480i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.59393 | + | 7.21116i | 0.855128 | + | 0.717537i | 0.960913 | − | 0.276852i | \(-0.0892911\pi\) |
−0.105785 | + | 0.994389i | \(0.533736\pi\) | |||||||
\(102\) | 0.790364 | − | 0.211777i | 0.0782577 | − | 0.0209691i | ||||
\(103\) | −2.90781 | + | 10.8521i | −0.286515 | + | 1.06929i | 0.661210 | + | 0.750201i | \(0.270043\pi\) |
−0.947725 | + | 0.319088i | \(0.896623\pi\) | |||||||
\(104\) | −5.79147 | − | 1.02119i | −0.567900 | − | 0.100136i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.66213 | − | 2.87889i | −0.161440 | − | 0.279622i | ||||
\(107\) | −3.71653 | − | 13.8703i | −0.359290 | − | 1.34089i | −0.874999 | − | 0.484125i | \(-0.839138\pi\) |
0.515708 | − | 0.856764i | \(-0.327529\pi\) | |||||||
\(108\) | −0.487747 | − | 5.57497i | −0.0469335 | − | 0.536452i | ||||
\(109\) | −17.9852 | − | 6.54609i | −1.72267 | − | 0.627002i | −0.724607 | − | 0.689162i | \(-0.757979\pi\) |
−0.998066 | + | 0.0621599i | \(0.980201\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 7.01542 | − | 5.88664i | 0.665874 | − | 0.558735i | ||||
\(112\) | 0.503769 | − | 0.719456i | 0.0476017 | − | 0.0679822i | ||||
\(113\) | −4.18532 | − | 4.18532i | −0.393722 | − | 0.393722i | 0.482290 | − | 0.876012i | \(-0.339805\pi\) |
−0.876012 | + | 0.482290i | \(0.839805\pi\) | |||||||
\(114\) | 6.62376 | + | 0.851139i | 0.620372 | + | 0.0797165i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 1.47107 | − | 0.259389i | 0.136585 | − | 0.0240837i | ||||
\(117\) | −0.334541 | + | 3.82382i | −0.0309283 | + | 0.353512i | ||||
\(118\) | −2.74637 | + | 5.88961i | −0.252824 | + | 0.542183i | ||||
\(119\) | 0.160432 | − | 0.440783i | 0.0147068 | − | 0.0404065i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.63075 | − | 2.82454i | 0.148250 | − | 0.256776i | ||||
\(122\) | 0.661241 | + | 0.177179i | 0.0598659 | + | 0.0160410i | ||||
\(123\) | 2.99780 | + | 4.28130i | 0.270302 | + | 0.386032i | ||||
\(124\) | 0.792521 | − | 4.49461i | 0.0711705 | − | 0.403628i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.496463 | − | 0.286633i | −0.0442284 | − | 0.0255353i | ||||
\(127\) | −12.8382 | + | 1.12320i | −1.13921 | + | 0.0996677i | −0.641107 | − | 0.767452i | \(-0.721524\pi\) |
−0.498100 | + | 0.867119i | \(0.665969\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | 10.5624 | − | 3.84441i | 0.929971 | − | 0.338482i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.61408 | − | 9.15390i | −0.141023 | − | 0.799780i | −0.970475 | − | 0.241202i | \(-0.922458\pi\) |
0.829452 | − | 0.558578i | \(-0.188653\pi\) | |||||||
\(132\) | 3.01368 | − | 3.01368i | 0.262307 | − | 0.262307i | ||||
\(133\) | 2.57766 | − | 2.83060i | 0.223511 | − | 0.245444i | ||||
\(134\) | 0.959535i | 0.0828912i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.343294 | + | 0.409122i | 0.0294373 | + | 0.0350820i | ||||
\(137\) | −10.4566 | − | 4.87598i | −0.893364 | − | 0.416583i | −0.0789582 | − | 0.996878i | \(-0.525159\pi\) |
−0.814406 | + | 0.580295i | \(0.802937\pi\) | |||||||
\(138\) | −8.98135 | + | 4.18807i | −0.764543 | + | 0.356512i | ||||
\(139\) | −2.63037 | + | 3.13475i | −0.223105 | + | 0.265886i | −0.865973 | − | 0.500091i | \(-0.833300\pi\) |
0.642868 | + | 0.765977i | \(0.277744\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.41583 | − | 1.39478i | 0.203449 | − | 0.117462i | ||||
\(142\) | 2.47280 | − | 1.73147i | 0.207513 | − | 0.145302i | ||||
\(143\) | −13.4008 | + | 9.38333i | −1.12063 | + | 0.784673i | ||||
\(144\) | 0.565258 | − | 0.326352i | 0.0471048 | − | 0.0271960i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.19640 | + | 7.38458i | −0.512818 | + | 0.611152i | ||||
\(147\) | −8.64869 | + | 4.03295i | −0.713332 | + | 0.332632i | ||||
\(148\) | 5.41741 | + | 2.52618i | 0.445308 | + | 0.207651i | ||||
\(149\) | 12.3942 | + | 14.7709i | 1.01537 | + | 1.21008i | 0.977531 | + | 0.210793i | \(0.0676045\pi\) |
0.0378438 | + | 0.999284i | \(0.487951\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 9.94008i | − | 0.808912i | −0.914557 | − | 0.404456i | \(-0.867461\pi\) | ||
0.914557 | − | 0.404456i | \(-0.132539\pi\) | |||||||
\(152\) | 1.32364 | + | 4.15307i | 0.107361 | + | 0.336858i | ||||
\(153\) | 0.246491 | − | 0.246491i | 0.0199276 | − | 0.0199276i | ||||
\(154\) | −0.424266 | − | 2.40613i | −0.0341884 | − | 0.193892i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 8.46656 | − | 3.08157i | 0.677867 | − | 0.246723i | ||||
\(157\) | 6.39461 | + | 13.7133i | 0.510346 | + | 1.09444i | 0.977630 | + | 0.210333i | \(0.0674548\pi\) |
−0.467284 | + | 0.884107i | \(0.654767\pi\) | |||||||
\(158\) | −2.21325 | + | 0.193634i | −0.176077 | + | 0.0154047i | ||||
\(159\) | 4.41071 | + | 2.54652i | 0.349792 | + | 0.201952i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.986489 | + | 5.59466i | −0.0777462 | + | 0.440921i | ||||
\(162\) | 3.79471 | + | 5.41940i | 0.298140 | + | 0.425788i | ||||
\(163\) | −11.1934 | − | 2.99926i | −0.876735 | − | 0.234920i | −0.207737 | − | 0.978185i | \(-0.566610\pi\) |
−0.668998 | + | 0.743264i | \(0.733277\pi\) | |||||||
\(164\) | −1.70568 | + | 2.95432i | −0.133191 | + | 0.230694i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.51071 | − | 12.3931i | 0.350099 | − | 0.961890i | ||||
\(167\) | −8.41488 | + | 18.0458i | −0.651163 | + | 1.39642i | 0.252254 | + | 0.967661i | \(0.418828\pi\) |
−0.903417 | + | 0.428763i | \(0.858950\pi\) | |||||||
\(168\) | −0.117279 | + | 1.34050i | −0.00904826 | + | 0.103422i | ||||
\(169\) | −21.2560 | + | 3.74801i | −1.63508 | + | 0.288308i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.62511 | − | 1.09691i | 0.200747 | − | 0.0838828i | ||||
\(172\) | 5.18775 | + | 5.18775i | 0.395563 | + | 0.395563i | ||||
\(173\) | 5.79482 | − | 8.27587i | 0.440572 | − | 0.629203i | −0.536045 | − | 0.844190i | \(-0.680082\pi\) |
0.976617 | + | 0.214987i | \(0.0689710\pi\) | |||||||
\(174\) | −1.75315 | + | 1.47107i | −0.132906 | + | 0.111522i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.61405 | + | 0.951437i | 0.197042 | + | 0.0717173i | ||||
\(177\) | −0.867742 | − | 9.91834i | −0.0652235 | − | 0.745508i | ||||
\(178\) | −3.53868 | − | 13.2065i | −0.265235 | − | 0.989872i | ||||
\(179\) | 3.46095 | + | 5.99454i | 0.258683 | + | 0.448053i | 0.965889 | − | 0.258955i | \(-0.0833780\pi\) |
−0.707206 | + | 0.707007i | \(0.750045\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.96618 | + | 1.40465i | 0.592121 | + | 0.104407i | 0.461676 | − | 0.887049i | \(-0.347248\pi\) |
0.130445 | + | 0.991456i | \(0.458359\pi\) | |||||||
\(182\) | 1.33682 | − | 4.98908i | 0.0990918 | − | 0.369815i | ||||
\(183\) | −1.01308 | + | 0.271454i | −0.0748890 | + | 0.0200664i | ||||
\(184\) | −4.95491 | − | 4.15766i | −0.365281 | − | 0.306507i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 2.39153 | + | 6.57068i | 0.175356 | + | 0.481785i | ||||
\(187\) | 1.48004 | + | 0.129486i | 0.108231 | + | 0.00946897i | ||||
\(188\) | 1.49147 | + | 1.04434i | 0.108777 | + | 0.0761664i | ||||
\(189\) | 4.91517 | 0.357526 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 23.3900 | 1.69244 | 0.846219 | − | 0.532835i | \(-0.178873\pi\) | ||||
0.846219 | + | 0.532835i | \(0.178873\pi\) | |||||||
\(192\) | −1.25501 | − | 0.878770i | −0.0905728 | − | 0.0634198i | ||||
\(193\) | −5.53617 | − | 0.484352i | −0.398502 | − | 0.0348644i | −0.113856 | − | 0.993497i | \(-0.536320\pi\) |
−0.284646 | + | 0.958633i | \(0.591876\pi\) | |||||||
\(194\) | 2.30992 | + | 6.34645i | 0.165843 | + | 0.455649i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.77138 | − | 4.00367i | −0.340813 | − | 0.285976i | ||||
\(197\) | 10.1622 | − | 2.72294i | 0.724024 | − | 0.194002i | 0.122058 | − | 0.992523i | \(-0.461051\pi\) |
0.601967 | + | 0.798521i | \(0.294384\pi\) | |||||||
\(198\) | 0.469938 | − | 1.75383i | 0.0333971 | − | 0.124640i | ||||
\(199\) | −4.22841 | − | 0.745583i | −0.299744 | − | 0.0528529i | 0.0217536 | − | 0.999763i | \(-0.493075\pi\) |
−0.321498 | + | 0.946910i | \(0.604186\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.735046 | − | 1.27314i | −0.0518462 | − | 0.0898002i | ||||
\(202\) | −2.90358 | − | 10.8363i | −0.204295 | − | 0.762440i | ||||
\(203\) | 0.114345 | + | 1.30697i | 0.00802546 | + | 0.0917314i | ||||
\(204\) | −0.768899 | − | 0.279856i | −0.0538337 | − | 0.0195939i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 8.60645 | − | 7.22167i | 0.599639 | − | 0.503157i | ||||
\(207\) | −2.42153 | + | 3.45830i | −0.168308 | + | 0.240368i | ||||
\(208\) | 4.15836 | + | 4.15836i | 0.288330 | + | 0.288330i | ||||
\(209\) | 10.7729 | + | 5.56561i | 0.745178 | + | 0.384982i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 22.3494 | − | 3.94081i | 1.53860 | − | 0.271296i | 0.660886 | − | 0.750486i | \(-0.270180\pi\) |
0.877711 | + | 0.479190i | \(0.159069\pi\) | |||||||
\(212\) | −0.289727 | + | 3.31160i | −0.0198986 | + | 0.227442i | ||||
\(213\) | −1.95460 | + | 4.19164i | −0.133927 | + | 0.287207i | ||||
\(214\) | −4.91126 | + | 13.4936i | −0.335727 | + | 0.922402i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.79813 | + | 4.84651i | −0.190389 | + | 0.329763i | ||||
\(217\) | 3.87190 | + | 1.03747i | 0.262842 | + | 0.0704282i | ||||
\(218\) | 10.9780 | + | 15.6782i | 0.743521 | + | 1.06186i | ||||
\(219\) | 2.56464 | − | 14.5448i | 0.173302 | − | 0.982846i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.71999 | + | 1.57039i | 0.182966 | + | 0.105636i | ||||
\(222\) | −9.12313 | + | 0.798171i | −0.612305 | + | 0.0535697i | ||||
\(223\) | 10.3926 | + | 22.2869i | 0.695937 | + | 1.49244i | 0.862311 | + | 0.506379i | \(0.169016\pi\) |
−0.166374 | + | 0.986063i | \(0.553206\pi\) | |||||||
\(224\) | −0.825326 | + | 0.300394i | −0.0551444 | + | 0.0200709i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.02781 | + | 5.82901i | 0.0683690 | + | 0.387740i | ||||
\(227\) | 14.2308 | − | 14.2308i | 0.944533 | − | 0.944533i | −0.0540074 | − | 0.998541i | \(-0.517199\pi\) |
0.998541 | + | 0.0540074i | \(0.0171994\pi\) | |||||||
\(228\) | −4.93767 | − | 4.49644i | −0.327005 | − | 0.297784i | ||||
\(229\) | 13.0081i | 0.859598i | 0.902925 | + | 0.429799i | \(0.141416\pi\) | ||||
−0.902925 | + | 0.429799i | \(0.858584\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.40613 | + | 2.86752i | 0.158312 | + | 0.188669i | ||||
\(232\) | −1.35381 | − | 0.631292i | −0.0888819 | − | 0.0414463i | ||||
\(233\) | 15.7329 | − | 7.33635i | 1.03069 | − | 0.480621i | 0.167702 | − | 0.985838i | \(-0.446365\pi\) |
0.862992 | + | 0.505217i | \(0.168588\pi\) | |||||||
\(234\) | 2.46729 | − | 2.94040i | 0.161292 | − | 0.192220i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.62784 | − | 3.24923i | 0.366341 | − | 0.211507i | ||||
\(237\) | 2.78827 | − | 1.95237i | 0.181118 | − | 0.126820i | ||||
\(238\) | −0.384241 | + | 0.269048i | −0.0249066 | + | 0.0174398i | ||||
\(239\) | 4.96526 | − | 2.86669i | 0.321176 | − | 0.185431i | −0.330741 | − | 0.943722i | \(-0.607299\pi\) |
0.651917 | + | 0.758291i | \(0.273965\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.4849 | − | 20.8377i | 1.12630 | − | 1.34228i | 0.193830 | − | 0.981035i | \(-0.437909\pi\) |
0.932473 | − | 0.361240i | \(-0.117647\pi\) | |||||||
\(242\) | −2.95592 | + | 1.37837i | −0.190014 | + | 0.0886048i | ||||
\(243\) | 6.02940 | + | 2.81155i | 0.386786 | + | 0.180361i | ||||
\(244\) | −0.440031 | − | 0.524408i | −0.0281701 | − | 0.0335718i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | − | 5.22650i | − | 0.333230i | ||||||
\(247\) | 15.6679 | + | 20.2882i | 0.996925 | + | 1.29091i | ||||
\(248\) | −3.22720 | + | 3.22720i | −0.204927 | + | 0.204927i | ||||
\(249\) | 3.50871 | + | 19.8989i | 0.222356 | + | 1.26104i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −22.3073 | + | 8.11919i | −1.40802 | + | 0.512479i | −0.930549 | − | 0.366167i | \(-0.880670\pi\) |
−0.477475 | + | 0.878645i | \(0.658448\pi\) | |||||||
\(252\) | 0.242273 | + | 0.519555i | 0.0152617 | + | 0.0327289i | ||||
\(253\) | −17.9248 | + | 1.56822i | −1.12692 | + | 0.0985930i | ||||
\(254\) | 11.1607 | + | 6.44362i | 0.700284 | + | 0.404309i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 13.0717 | + | 18.6683i | 0.815389 | + | 1.16450i | 0.983887 | + | 0.178794i | \(0.0572195\pi\) |
−0.168498 | + | 0.985702i | \(0.553892\pi\) | |||||||
\(258\) | −10.8573 | − | 2.90921i | −0.675946 | − | 0.181119i | ||||
\(259\) | −2.62498 | + | 4.54660i | −0.163108 | + | 0.282512i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.333464 | + | 0.916186i | −0.0206409 | + | 0.0567105i | ||||
\(262\) | −3.92829 | + | 8.42424i | −0.242690 | + | 0.520451i | ||||
\(263\) | −0.548803 | + | 6.27285i | −0.0338407 | + | 0.386801i | 0.960321 | + | 0.278898i | \(0.0899691\pi\) |
−0.994161 | + | 0.107903i | \(0.965586\pi\) | |||||||
\(264\) | −4.19724 | + | 0.740087i | −0.258322 | + | 0.0455492i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.73506 | + | 0.840207i | −0.229011 | + | 0.0515164i | ||||
\(267\) | 14.8120 | + | 14.8120i | 0.906481 | + | 0.906481i | ||||
\(268\) | 0.550366 | − | 0.786005i | 0.0336190 | − | 0.0480129i | ||||
\(269\) | 12.5253 | − | 10.5100i | 0.763681 | − | 0.640804i | −0.175401 | − | 0.984497i | \(-0.556122\pi\) |
0.939082 | + | 0.343693i | \(0.111678\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −19.5905 | − | 7.13036i | −1.19004 | − | 0.433139i | −0.330301 | − | 0.943876i | \(-0.607150\pi\) |
−0.859737 | + | 0.510737i | \(0.829373\pi\) | |||||||
\(272\) | −0.0465474 | − | 0.532039i | −0.00282235 | − | 0.0322596i | ||||
\(273\) | 2.04813 | + | 7.64372i | 0.123958 | + | 0.462619i | ||||
\(274\) | 5.76877 | + | 9.99180i | 0.348504 | + | 0.603627i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 9.75927 | + | 1.72082i | 0.587439 | + | 0.103581i | ||||
\(277\) | 6.77687 | − | 25.2916i | 0.407183 | − | 1.51963i | −0.392811 | − | 0.919619i | \(-0.628497\pi\) |
0.799994 | − | 0.600008i | \(-0.204836\pi\) | |||||||
\(278\) | 3.95269 | − | 1.05912i | 0.237067 | − | 0.0635219i | ||||
\(279\) | 2.28197 | + | 1.91480i | 0.136618 | + | 0.114636i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.57330 | + | 23.5550i | 0.511440 | + | 1.40517i | 0.879736 | + | 0.475462i | \(0.157719\pi\) |
−0.368296 | + | 0.929709i | \(0.620059\pi\) | |||||||
\(282\) | −2.77894 | − | 0.243126i | −0.165484 | − | 0.0144779i | ||||
\(283\) | −1.07390 | − | 0.751953i | −0.0638368 | − | 0.0446990i | 0.541222 | − | 0.840879i | \(-0.317962\pi\) |
−0.605059 | + | 0.796180i | \(0.706851\pi\) | |||||||
\(284\) | −3.01873 | −0.179129 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.3593 | 0.967348 | ||||||||
\(287\) | −2.45432 | − | 1.71854i | −0.144874 | − | 0.101442i | ||||
\(288\) | −0.650220 | − | 0.0568869i | −0.0383146 | − | 0.00335209i | ||||
\(289\) | 5.71679 | + | 15.7067i | 0.336282 | + | 0.923926i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.92653 | − | 6.65115i | −0.464661 | − | 0.389897i | ||||
\(292\) | 9.31142 | − | 2.49499i | 0.544910 | − | 0.146008i | ||||
\(293\) | −3.39841 | + | 12.6830i | −0.198537 | + | 0.740951i | 0.792786 | + | 0.609501i | \(0.208630\pi\) |
−0.991323 | + | 0.131450i | \(0.958037\pi\) | |||||||
\(294\) | 9.39779 | + | 1.65708i | 0.548090 | + | 0.0966431i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −2.98872 | − | 5.17662i | −0.173716 | − | 0.300885i | ||||
\(297\) | 4.02924 | + | 15.0373i | 0.233800 | + | 0.872554i | ||||
\(298\) | −1.68054 | − | 19.2086i | −0.0973509 | − | 1.11273i | ||||
\(299\) | −35.7441 | − | 13.0098i | −2.06714 | − | 0.752376i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.93615 | + | 4.14192i | −0.284515 | + | 0.238736i | ||||
\(302\) | −5.70139 | + | 8.14244i | −0.328078 | + | 0.468545i | ||||
\(303\) | 12.1536 | + | 12.1536i | 0.698209 | + | 0.698209i | ||||
\(304\) | 1.29784 | − | 4.16120i | 0.0744364 | − | 0.238661i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.343294 | + | 0.0605321i | −0.0196248 | + | 0.00346039i | ||||
\(307\) | 2.82746 | − | 32.3180i | 0.161371 | − | 1.84448i | −0.295976 | − | 0.955195i | \(-0.595645\pi\) |
0.457347 | − | 0.889288i | \(-0.348800\pi\) | |||||||
\(308\) | −1.03256 | + | 2.21434i | −0.0588358 | + | 0.126174i | ||||
\(309\) | −5.88716 | + | 16.1748i | −0.334909 | + | 0.920154i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.27642 | + | 14.3352i | −0.469313 | + | 0.812874i | −0.999385 | − | 0.0350792i | \(-0.988832\pi\) |
0.530072 | + | 0.847953i | \(0.322165\pi\) | |||||||
\(312\) | −8.70292 | − | 2.33194i | −0.492706 | − | 0.132020i | ||||
\(313\) | −11.2116 | − | 16.0118i | −0.633718 | − | 0.905043i | 0.365954 | − | 0.930633i | \(-0.380743\pi\) |
−0.999673 | + | 0.0255895i | \(0.991854\pi\) | |||||||
\(314\) | 2.62746 | − | 14.9011i | 0.148276 | − | 0.840916i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.92405 | + | 1.11085i | 0.108236 | + | 0.0624903i | ||||
\(317\) | 18.6277 | − | 1.62971i | 1.04624 | − | 0.0915338i | 0.448946 | − | 0.893559i | \(-0.351800\pi\) |
0.597290 | + | 0.802025i | \(0.296244\pi\) | |||||||
\(318\) | −2.15241 | − | 4.61587i | −0.120701 | − | 0.258845i | ||||
\(319\) | −3.90478 | + | 1.42122i | −0.218625 | + | 0.0795732i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.82028 | − | 21.6659i | −0.213227 | − | 1.20927i | ||||
\(322\) | 4.01705 | − | 4.01705i | 0.223861 | − | 0.223861i | ||||
\(323\) | 0.0943291 | − | 2.32605i | 0.00524861 | − | 0.129425i | ||||
\(324\) | − | 6.61587i | − | 0.367548i | ||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 7.44879 | + | 8.87713i | 0.412551 | + | 0.491659i | ||||
\(327\) | −26.5760 | − | 12.3926i | −1.46966 | − | 0.685313i | ||||
\(328\) | 3.09174 | − | 1.44170i | 0.170713 | − | 0.0796047i | ||||
\(329\) | −1.02792 | + | 1.22503i | −0.0566710 | + | 0.0675378i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.6541 | + | 7.88321i | −0.750498 | + | 0.433300i | −0.825874 | − | 0.563855i | \(-0.809318\pi\) |
0.0753756 | + | 0.997155i | \(0.475984\pi\) | |||||||
\(332\) | −10.8033 | + | 7.56458i | −0.592910 | + | 0.415160i | ||||
\(333\) | −3.19592 | + | 2.23781i | −0.175136 | + | 0.122631i | ||||
\(334\) | 17.2437 | − | 9.95566i | 0.943533 | − | 0.544749i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.864951 | − | 1.03081i | 0.0471869 | − | 0.0562352i | ||||
\(337\) | 15.5001 | − | 7.22780i | 0.844342 | − | 0.393723i | 0.0482037 | − | 0.998838i | \(-0.484650\pi\) |
0.796139 | + | 0.605114i | \(0.206873\pi\) | |||||||
\(338\) | 19.5617 | + | 9.12176i | 1.06401 | + | 0.496158i | ||||
\(339\) | −5.82901 | − | 6.94675i | −0.316588 | − | 0.377295i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.6961i | 0.687530i | ||||||||
\(342\) | −2.77953 | − | 0.607166i | −0.150300 | − | 0.0328318i | ||||
\(343\) | 8.21559 | − | 8.21559i | 0.443600 | − | 0.443600i | ||||
\(344\) | −1.27399 | − | 7.22513i | −0.0686887 | − | 0.389553i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.49369 | + | 3.45542i | −0.510384 | + | 0.185764i | ||||
\(347\) | 0.788474 | + | 1.69089i | 0.0423275 | + | 0.0907716i | 0.926334 | − | 0.376702i | \(-0.122942\pi\) |
−0.884007 | + | 0.467474i | \(0.845164\pi\) | |||||||
\(348\) | 2.27987 | − | 0.199463i | 0.122214 | − | 0.0106923i | ||||
\(349\) | 13.2384 | + | 7.64317i | 0.708633 | + | 0.409129i | 0.810555 | − | 0.585663i | \(-0.199166\pi\) |
−0.101922 | + | 0.994792i | \(0.532499\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.71486 | + | 32.4106i | −0.305037 | + | 1.72995i | ||||
\(352\) | −1.59558 | − | 2.27873i | −0.0850449 | − | 0.121457i | ||||
\(353\) | −26.9521 | − | 7.22179i | −1.43452 | − | 0.384377i | −0.543906 | − | 0.839146i | \(-0.683055\pi\) |
−0.890609 | + | 0.454769i | \(0.849722\pi\) | |||||||
\(354\) | −4.97811 | + | 8.62235i | −0.264584 | + | 0.458273i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −4.67624 | + | 12.8479i | −0.247840 | + | 0.680936i | ||||
\(357\) | 0.303719 | − | 0.651327i | 0.0160745 | − | 0.0344719i | ||||
\(358\) | 0.603283 | − | 6.89556i | 0.0318845 | − | 0.364441i | ||||
\(359\) | 2.65246 | − | 0.467701i | 0.139992 | − | 0.0246843i | −0.103213 | − | 0.994659i | \(-0.532912\pi\) |
0.243205 | + | 0.969975i | \(0.421801\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.92276 | − | 17.2693i | 0.416987 | − | 0.908912i | ||||
\(362\) | −5.71984 | − | 5.71984i | −0.300628 | − | 0.300628i | ||||
\(363\) | 2.86611 | − | 4.09322i | 0.150432 | − | 0.214838i | ||||
\(364\) | −3.95668 | + | 3.32005i | −0.207386 | + | 0.174018i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.985566 | + | 0.358717i | 0.0515163 | + | 0.0187504i | ||||
\(367\) | 1.25880 | + | 14.3881i | 0.0657087 | + | 0.751054i | 0.955559 | + | 0.294801i | \(0.0952532\pi\) |
−0.889850 | + | 0.456253i | \(0.849191\pi\) | |||||||
\(368\) | 1.67409 | + | 6.24778i | 0.0872678 | + | 0.325688i | ||||
\(369\) | −1.11330 | − | 1.92830i | −0.0579562 | − | 0.100383i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.87531 | − | 0.506995i | −0.149279 | − | 0.0263219i | ||||
\(372\) | 1.80976 | − | 6.75411i | 0.0938316 | − | 0.350184i | ||||
\(373\) | 21.4638 | − | 5.75121i | 1.11135 | − | 0.297786i | 0.343974 | − | 0.938979i | \(-0.388227\pi\) |
0.767380 | + | 0.641193i | \(0.221560\pi\) | |||||||
\(374\) | −1.13810 | − | 0.954982i | −0.0588499 | − | 0.0493810i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.622735 | − | 1.71095i | −0.0321151 | − | 0.0882355i | ||||
\(377\) | −8.75111 | − | 0.765623i | −0.450705 | − | 0.0394316i | ||||
\(378\) | −4.02627 | − | 2.81922i | −0.207089 | − | 0.145005i | ||||
\(379\) | −33.1948 | −1.70510 | −0.852552 | − | 0.522643i | \(-0.824946\pi\) | ||||
−0.852552 | + | 0.522643i | \(0.824946\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −19.7444 | −1.01154 | ||||||||
\(382\) | −19.1599 | − | 13.4159i | −0.980307 | − | 0.686419i | ||||
\(383\) | −0.320302 | − | 0.0280228i | −0.0163667 | − | 0.00143190i | 0.0789695 | − | 0.996877i | \(-0.474837\pi\) |
−0.0953361 | + | 0.995445i | \(0.530393\pi\) | |||||||
\(384\) | 0.524005 | + | 1.43969i | 0.0267405 | + | 0.0734690i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.25715 | + | 3.57217i | 0.216683 | + | 0.181819i | ||||
\(387\) | −4.62545 | + | 1.23939i | −0.235125 | + | 0.0630015i | ||||
\(388\) | 1.74800 | − | 6.52363i | 0.0887413 | − | 0.331187i | ||||
\(389\) | 19.0135 | + | 3.35259i | 0.964023 | + | 0.169983i | 0.633438 | − | 0.773793i | \(-0.281643\pi\) |
0.330585 | + | 0.943776i | \(0.392754\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.72723 | + | 2.99166i | 0.0873500 | + | 0.151295i | ||||
\(392\) | 1.61208 | + | 6.01637i | 0.0814223 | + | 0.303872i | ||||
\(393\) | −1.24118 | − | 14.1868i | −0.0626093 | − | 0.715627i | ||||
\(394\) | −9.88618 | − | 3.59827i | −0.498058 | − | 0.181278i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.39091 | + | 1.16711i | −0.0698958 | + | 0.0586495i | ||||
\(397\) | 10.9858 | − | 15.6894i | 0.551363 | − | 0.787429i | −0.442649 | − | 0.896695i | \(-0.645961\pi\) |
0.994013 | + | 0.109266i | \(0.0348502\pi\) | |||||||
\(398\) | 3.03606 | + | 3.03606i | 0.152184 | + | 0.152184i | ||||
\(399\) | 4.31214 | − | 3.97603i | 0.215877 | − | 0.199051i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.01390 | + | 0.531432i | −0.150507 | + | 0.0265385i | −0.248394 | − | 0.968659i | \(-0.579903\pi\) |
0.0978869 | + | 0.995198i | \(0.468792\pi\) | |||||||
\(402\) | −0.128127 | + | 1.46450i | −0.00639039 | + | 0.0730425i | ||||
\(403\) | −11.3429 | + | 24.3250i | −0.565032 | + | 1.21172i | ||||
\(404\) | −3.83698 | + | 10.5420i | −0.190897 | + | 0.524485i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.655982 | − | 1.13619i | 0.0325558 | − | 0.0563883i | ||||
\(407\) | −16.0616 | − | 4.30369i | −0.796143 | − | 0.213326i | ||||
\(408\) | 0.469326 | + | 0.670267i | 0.0232351 | + | 0.0331832i | ||||
\(409\) | 6.18153 | − | 35.0572i | 0.305657 | − | 1.73347i | −0.314738 | − | 0.949178i | \(-0.601917\pi\) |
0.620395 | − | 0.784289i | \(-0.286972\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −15.3083 | − | 8.83827i | −0.755104 | − | 0.435960i | ||||
\(412\) | −11.1922 | + | 0.979188i | −0.551398 | + | 0.0482411i | ||||
\(413\) | 2.41212 | + | 5.17281i | 0.118693 | + | 0.254537i | ||||
\(414\) | 3.96720 | − | 1.44394i | 0.194977 | − | 0.0709659i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.02119 | − | 5.79147i | −0.0500680 | − | 0.283950i | ||||
\(417\) | −4.43321 | + | 4.43321i | −0.217095 | + | 0.217095i | ||||
\(418\) | −5.63234 | − | 10.7382i | −0.275487 | − | 0.525221i | ||||
\(419\) | − | 29.0702i | − | 1.42017i | −0.704115 | − | 0.710086i | \(-0.748656\pi\) | ||
0.704115 | − | 0.710086i | \(-0.251344\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.0281 | − | 15.5263i | −0.634952 | − | 0.756706i | 0.348612 | − | 0.937267i | \(-0.386653\pi\) |
−0.983564 | + | 0.180561i | \(0.942209\pi\) | |||||||
\(422\) | −20.5679 | − | 9.59098i | −1.00123 | − | 0.466882i | ||||
\(423\) | −1.07707 | + | 0.502245i | −0.0523688 | + | 0.0244200i | ||||
\(424\) | 2.13679 | − | 2.54652i | 0.103772 | − | 0.123670i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 4.00534 | − | 2.31248i | 0.194059 | − | 0.112040i | ||||
\(427\) | 0.492516 | − | 0.344863i | 0.0238345 | − | 0.0166891i | ||||
\(428\) | 11.7627 | − | 8.23630i | 0.568570 | − | 0.398117i | ||||
\(429\) | −21.7060 | + | 12.5320i | −1.04798 | + | 0.605049i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −2.51329 | + | 2.99522i | −0.121061 | + | 0.144275i | −0.823171 | − | 0.567794i | \(-0.807797\pi\) |
0.702110 | + | 0.712069i | \(0.252242\pi\) | |||||||
\(432\) | 5.07194 | − | 2.36508i | 0.244024 | − | 0.113790i | ||||
\(433\) | 19.5464 | + | 9.11461i | 0.939338 | + | 0.438020i | 0.831111 | − | 0.556106i | \(-0.187705\pi\) |
0.108226 | + | 0.994126i | \(0.465483\pi\) | |||||||
\(434\) | −2.57660 | − | 3.07068i | −0.123681 | − | 0.147397i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | − | 19.1395i | − | 0.916616i | ||||||
\(437\) | 3.76677 | + | 27.9414i | 0.180189 | + | 1.33662i | ||||
\(438\) | −10.4434 | + | 10.4434i | −0.499004 | + | 0.499004i | ||||
\(439\) | −3.23570 | − | 18.3506i | −0.154432 | − | 0.875826i | −0.959304 | − | 0.282377i | \(-0.908877\pi\) |
0.804872 | − | 0.593449i | \(-0.202234\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.82025 | − | 1.39046i | 0.181917 | − | 0.0662123i | ||||
\(442\) | −1.32735 | − | 2.84651i | −0.0631355 | − | 0.135394i | ||||
\(443\) | −15.7425 | + | 1.37729i | −0.747947 | + | 0.0654369i | −0.454755 | − | 0.890617i | \(-0.650273\pi\) |
−0.293192 | + | 0.956053i | \(0.594718\pi\) | |||||||
\(444\) | 7.93105 | + | 4.57899i | 0.376391 | + | 0.217309i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.27016 | − | 24.2173i | 0.202198 | − | 1.14672i | ||||
\(447\) | 16.9444 | + | 24.1992i | 0.801444 | + | 1.14458i | ||||
\(448\) | 0.848367 | + | 0.227319i | 0.0400816 | + | 0.0107398i | ||||
\(449\) | 15.1991 | − | 26.3257i | 0.717292 | − | 1.24239i | −0.244777 | − | 0.969579i | \(-0.578715\pi\) |
0.962069 | − | 0.272807i | \(-0.0879520\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.24569 | − | 8.91747i | 0.152834 | − | 0.419907i | ||||
\(452\) | 2.50145 | − | 5.36438i | 0.117658 | − | 0.252319i | ||||
\(453\) | 1.32730 | − | 15.1711i | 0.0623621 | − | 0.712802i | ||||
\(454\) | −19.8197 | + | 3.49474i | −0.930184 | + | 0.164016i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.46565 | + | 6.51540i | 0.0686354 | + | 0.305112i | ||||
\(457\) | 9.66093 | + | 9.66093i | 0.451919 | + | 0.451919i | 0.895991 | − | 0.444072i | \(-0.146467\pi\) |
−0.444072 | + | 0.895991i | \(0.646467\pi\) | |||||||
\(458\) | 7.46113 | − | 10.6556i | 0.348636 | − | 0.497903i | ||||
\(459\) | 2.28956 | − | 1.92117i | 0.106867 | − | 0.0896724i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.5297 | − | 7.83617i | −1.00274 | − | 0.364967i | −0.212098 | − | 0.977248i | \(-0.568030\pi\) |
−0.790640 | + | 0.612282i | \(0.790252\pi\) | |||||||
\(462\) | −0.326248 | − | 3.72904i | −0.0151784 | − | 0.173490i | ||||
\(463\) | 0.948918 | + | 3.54141i | 0.0441000 | + | 0.164583i | 0.984464 | − | 0.175586i | \(-0.0561821\pi\) |
−0.940364 | + | 0.340170i | \(0.889515\pi\) | |||||||
\(464\) | 0.746882 | + | 1.29364i | 0.0346731 | + | 0.0600556i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.0956 | − | 3.01441i | −0.791937 | − | 0.139640i | ||||
\(467\) | −1.27846 | + | 4.77127i | −0.0591600 | + | 0.220788i | −0.989177 | − | 0.146729i | \(-0.953125\pi\) |
0.930017 | + | 0.367517i | \(0.119792\pi\) | |||||||
\(468\) | −3.70763 | + | 0.993458i | −0.171385 | + | 0.0459226i | ||||
\(469\) | 0.645587 | + | 0.541711i | 0.0298104 | + | 0.0250139i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.92870 | + | 21.7839i | 0.365335 | + | 1.00375i | ||||
\(472\) | −6.47374 | − | 0.566379i | −0.297978 | − | 0.0260697i | ||||
\(473\) | −16.7181 | − | 11.7062i | −0.768700 | − | 0.538249i | ||||
\(474\) | −3.40385 | −0.156344 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.469072 | 0.0214999 | ||||||||
\(477\) | −1.77736 | − | 1.24452i | −0.0813795 | − | 0.0569825i | ||||
\(478\) | −5.71157 | − | 0.499698i | −0.261241 | − | 0.0228556i | ||||
\(479\) | 6.63649 | + | 18.2336i | 0.303229 | + | 0.833115i | 0.993934 | + | 0.109978i | \(0.0350780\pi\) |
−0.690705 | + | 0.723137i | \(0.742700\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.9282 | − | 22.5954i | −1.22782 | − | 1.03026i | ||||
\(482\) | −26.2748 | + | 7.04032i | −1.19679 | + | 0.320678i | ||||
\(483\) | −2.25269 | + | 8.40717i | −0.102501 | + | 0.382539i | ||||
\(484\) | 3.21195 | + | 0.566353i | 0.145998 | + | 0.0257433i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −3.32635 | − | 5.76141i | −0.150886 | − | 0.261343i | ||||
\(487\) | −7.24146 | − | 27.0255i | −0.328142 | − | 1.22464i | −0.911115 | − | 0.412151i | \(-0.864778\pi\) |
0.582974 | − | 0.812491i | \(-0.301889\pi\) | |||||||
\(488\) | 0.0596639 | + | 0.681962i | 0.00270086 | + | 0.0308710i | ||||
\(489\) | −16.6835 | − | 6.07231i | −0.754456 | − | 0.274599i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.622060 | + | 0.521970i | −0.0280732 | + | 0.0235562i | −0.656716 | − | 0.754138i | \(-0.728055\pi\) |
0.628643 | + | 0.777694i | \(0.283611\pi\) | |||||||
\(492\) | −2.99780 | + | 4.28130i | −0.135151 | + | 0.193016i | ||||
\(493\) | 0.564113 | + | 0.564113i | 0.0254064 | + | 0.0254064i | ||||
\(494\) | −1.19757 | − | 25.6059i | −0.0538813 | − | 1.15206i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4.49461 | − | 0.792521i | 0.201814 | − | 0.0355852i | ||||
\(497\) | 0.231079 | − | 2.64125i | 0.0103653 | − | 0.118476i | ||||
\(498\) | 8.53937 | − | 18.3127i | 0.382658 | − | 0.820613i | ||||
\(499\) | −10.7326 | + | 29.4875i | −0.480457 | + | 1.32004i | 0.428646 | + | 0.903472i | \(0.358991\pi\) |
−0.909103 | + | 0.416571i | \(0.863232\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −15.2530 | + | 26.4189i | −0.681452 | + | 1.18031i | ||||
\(502\) | 22.9300 | + | 6.14409i | 1.02342 | + | 0.274224i | ||||
\(503\) | −10.4941 | − | 14.9871i | −0.467908 | − | 0.668242i | 0.513959 | − | 0.857815i | \(-0.328178\pi\) |
−0.981867 | + | 0.189573i | \(0.939290\pi\) | |||||||
\(504\) | 0.0995465 | − | 0.564557i | 0.00443416 | − | 0.0251473i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 15.5826 | + | 8.99664i | 0.692733 | + | 0.399950i | ||||
\(507\) | −32.9426 | + | 2.88211i | −1.46303 | + | 0.127999i | ||||
\(508\) | −5.44639 | − | 11.6798i | −0.241644 | − | 0.518208i | ||||
\(509\) | 28.4513 | − | 10.3554i | 1.26108 | − | 0.458996i | 0.376949 | − | 0.926234i | \(-0.376973\pi\) |
0.884131 | + | 0.467238i | \(0.154751\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.47022 | + | 8.33803i | 0.0650387 | + | 0.368853i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 23.2417 | − | 7.40742i | 1.02615 | − | 0.327046i | ||||
\(514\) | − | 22.7898i | − | 1.00521i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 7.22513 | + | 8.61058i | 0.318069 | + | 0.379060i | ||||
\(517\) | −4.59045 | − | 2.14056i | −0.201888 | − | 0.0941419i | ||||
\(518\) | 4.75808 | − | 2.21873i | 0.209058 | − | 0.0974853i | ||||
\(519\) | 9.94948 | − | 11.8573i | 0.436734 | − | 0.520479i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.72795 | + | 4.46173i | −0.338567 | + | 0.195472i | −0.659638 | − | 0.751583i | \(-0.729291\pi\) |
0.321071 | + | 0.947055i | \(0.395957\pi\) | |||||||
\(522\) | 0.798661 | − | 0.559228i | 0.0349564 | − | 0.0244768i | ||||
\(523\) | −3.95304 | + | 2.76795i | −0.172854 | + | 0.121034i | −0.656802 | − | 0.754063i | \(-0.728091\pi\) |
0.483948 | + | 0.875097i | \(0.339202\pi\) | |||||||
\(524\) | 8.04981 | − | 4.64756i | 0.351658 | − | 0.203030i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.04751 | − | 4.82364i | 0.176480 | − | 0.210321i | ||||
\(527\) | 2.20910 | − | 1.03012i | 0.0962299 | − | 0.0448727i | ||||
\(528\) | 3.86268 | + | 1.80119i | 0.168101 | + | 0.0783869i | ||||
\(529\) | −12.1084 | − | 14.4302i | −0.526452 | − | 0.627401i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.24157i | 0.184069i | ||||||||
\(532\) | 3.54150 | + | 1.45408i | 0.153544 | + | 0.0630425i | ||||
\(533\) | 14.1857 | − | 14.1857i | 0.614449 | − | 0.614449i | ||||
\(534\) | −3.63747 | − | 20.6291i | −0.157409 | − | 0.892709i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.901668 | + | 0.328180i | −0.0389461 | + | 0.0141752i | ||||
\(537\) | 4.48185 | + | 9.61136i | 0.193406 | + | 0.414761i | ||||
\(538\) | −16.2884 | + | 1.42505i | −0.702243 | + | 0.0614383i | ||||
\(539\) | 15.0055 | + | 8.66341i | 0.646331 | + | 0.373160i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.90646 | + | 16.4833i | −0.124958 | + | 0.708674i | 0.856374 | + | 0.516355i | \(0.172712\pi\) |
−0.981333 | + | 0.192318i | \(0.938399\pi\) | |||||||
\(542\) | 11.9578 | + | 17.0775i | 0.513631 | + | 0.733541i | ||||
\(543\) | 11.9709 | + | 3.20759i | 0.513720 | + | 0.137651i | ||||
\(544\) | −0.267036 | + | 0.462519i | −0.0114491 | + | 0.0198304i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 2.70653 | − | 7.43613i | 0.115829 | − | 0.318237i | ||||
\(547\) | −1.46540 | + | 3.14256i | −0.0626561 | + | 0.134366i | −0.935142 | − | 0.354272i | \(-0.884729\pi\) |
0.872486 | + | 0.488639i | \(0.162506\pi\) | |||||||
\(548\) | 1.00556 | − | 11.4936i | 0.0429555 | − | 0.490984i | ||||
\(549\) | 0.440031 | − | 0.0775893i | 0.0187801 | − | 0.00331143i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.51036 | + | 6.00777i | 0.106945 | + | 0.255940i | ||||
\(552\) | −7.00730 | − | 7.00730i | −0.298251 | − | 0.298251i | ||||
\(553\) | −1.11922 | + | 1.59842i | −0.0475943 | + | 0.0679717i | ||||
\(554\) | −20.0580 | + | 16.8306i | −0.852182 | + | 0.715065i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.84534 | − | 1.39959i | −0.163079 | − | 0.0593559i | ||||
\(557\) | −3.89921 | − | 44.5681i | −0.165215 | − | 1.88841i | −0.400222 | − | 0.916418i | \(-0.631067\pi\) |
0.235007 | − | 0.971994i | \(-0.424489\pi\) | |||||||
\(558\) | −0.770997 | − | 2.87740i | −0.0326389 | − | 0.121810i | ||||
\(559\) | −21.5725 | − | 37.3647i | −0.912422 | − | 1.58036i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.24163 | + | 0.395259i | 0.0946415 | + | 0.0166879i | ||||
\(562\) | 6.48773 | − | 24.2125i | 0.273668 | − | 1.02134i | ||||
\(563\) | −24.9981 | + | 6.69821i | −1.05354 | + | 0.282296i | −0.743715 | − | 0.668497i | \(-0.766938\pi\) |
−0.309828 | + | 0.950793i | \(0.600271\pi\) | |||||||
\(564\) | 2.13692 | + | 1.79309i | 0.0899808 | + | 0.0755028i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0.448385 | + | 1.23193i | 0.0188470 | + | 0.0517818i | ||||
\(567\) | 5.78857 | + | 0.506434i | 0.243097 | + | 0.0212682i | ||||
\(568\) | 2.47280 | + | 1.73147i | 0.103756 | + | 0.0726510i | ||||
\(569\) | 13.5612 | 0.568515 | 0.284258 | − | 0.958748i | \(-0.408253\pi\) | ||||
0.284258 | + | 0.958748i | \(0.408253\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.4116 | −0.435712 | −0.217856 | − | 0.975981i | \(-0.569906\pi\) | ||||
−0.217856 | + | 0.975981i | \(0.569906\pi\) | |||||||
\(572\) | −13.4008 | − | 9.38333i | −0.560315 | − | 0.392337i | ||||
\(573\) | 35.6991 | + | 3.12327i | 1.49135 | + | 0.130476i | ||||
\(574\) | 1.02475 | + | 2.81548i | 0.0427723 | + | 0.117516i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.500000 | + | 0.419550i | 0.0208333 | + | 0.0174812i | ||||
\(577\) | −25.4735 | + | 6.82559i | −1.06047 | + | 0.284153i | −0.746574 | − | 0.665303i | \(-0.768303\pi\) |
−0.313901 | + | 0.949456i | \(0.601636\pi\) | |||||||
\(578\) | 4.32610 | − | 16.1452i | 0.179942 | − | 0.671553i | ||||
\(579\) | −8.38495 | − | 1.47849i | −0.348467 | − | 0.0614441i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.79167 | − | 10.0315i | −0.240279 | − | 0.416175i | ||||
\(582\) | 2.67809 | + | 9.99477i | 0.111010 | + | 0.414297i | ||||
\(583\) | −0.805969 | − | 9.21227i | −0.0333798 | − | 0.381533i | ||||
\(584\) | −9.05853 | − | 3.29704i | −0.374845 | − | 0.136432i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.0585 | − | 8.44009i | 0.415513 | − | 0.348657i | ||||
\(587\) | −5.99906 | + | 8.56754i | −0.247608 | + | 0.353620i | −0.923646 | − | 0.383246i | \(-0.874806\pi\) |
0.676039 | + | 0.736866i | \(0.263695\pi\) | |||||||
\(588\) | −6.74776 | − | 6.74776i | −0.278273 | − | 0.278273i | ||||
\(589\) | 19.8721 | − | 0.929404i | 0.818814 | − | 0.0382954i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 15.8737 | − | 2.79896i | 0.652956 | − | 0.115134i | ||||
\(592\) | −0.520969 | + | 5.95470i | −0.0214117 | + | 0.244737i | ||||
\(593\) | 16.0645 | − | 34.4504i | 0.659690 | − | 1.41471i | −0.236762 | − | 0.971568i | \(-0.576086\pi\) |
0.896452 | − | 0.443141i | \(-0.146136\pi\) | |||||||
\(594\) | 5.32450 | − | 14.6289i | 0.218467 | − | 0.600232i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −9.64100 | + | 16.6987i | −0.394911 | + | 0.684005i | ||||
\(597\) | −6.35409 | − | 1.70257i | −0.260056 | − | 0.0696817i | ||||
\(598\) | 21.8178 | + | 31.1590i | 0.892195 | + | 1.27419i | ||||
\(599\) | 0.114812 | − | 0.651133i | 0.00469111 | − | 0.0266046i | −0.982372 | − | 0.186935i | \(-0.940145\pi\) |
0.987063 | + | 0.160330i | \(0.0512559\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.92584 | + | 3.99864i | 0.282511 | + | 0.163108i | 0.634560 | − | 0.772874i | \(-0.281182\pi\) |
−0.352049 | + | 0.935982i | \(0.614515\pi\) | |||||||
\(602\) | 6.41916 | − | 0.561604i | 0.261626 | − | 0.0228893i | ||||
\(603\) | 0.264682 | + | 0.567613i | 0.0107787 | + | 0.0231150i | ||||
\(604\) | 9.34062 | − | 3.39971i | 0.380064 | − | 0.138332i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.98464 | − | 16.9267i | −0.121243 | − | 0.687601i | ||||
\(607\) | 13.1910 | − | 13.1910i | 0.535405 | − | 0.535405i | −0.386771 | − | 0.922176i | \(-0.626410\pi\) |
0.922176 | + | 0.386771i | \(0.126410\pi\) | |||||||
\(608\) | −3.44990 | + | 2.66424i | −0.139912 | + | 0.108049i | ||||
\(609\) | 2.01004i | 0.0814511i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −6.88265 | − | 8.20243i | −0.278442 | − | 0.331835i | ||||
\(612\) | 0.315930 | + | 0.147321i | 0.0127707 | + | 0.00595508i | ||||
\(613\) | −30.2884 | + | 14.1237i | −1.22334 | + | 0.570452i | −0.923522 | − | 0.383545i | \(-0.874703\pi\) |
−0.299816 | + | 0.953997i | \(0.596925\pi\) | |||||||
\(614\) | −20.8529 | + | 24.8516i | −0.841556 | + | 1.00293i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.11592 | − | 1.22163i | 0.0852528 | − | 0.0492207i | ||||
\(617\) | 8.79520 | − | 6.15847i | 0.354081 | − | 0.247931i | −0.382979 | − | 0.923757i | \(-0.625102\pi\) |
0.737061 | + | 0.675826i | \(0.236213\pi\) | |||||||
\(618\) | 14.1000 | − | 9.87291i | 0.567184 | − | 0.397147i | ||||
\(619\) | −34.1055 | + | 19.6908i | −1.37081 | + | 0.791440i | −0.991031 | − | 0.133635i | \(-0.957335\pi\) |
−0.379784 | + | 0.925075i | \(0.624002\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −23.2674 | + | 27.7290i | −0.933689 | + | 1.11273i | ||||
\(622\) | 15.0020 | − | 6.99553i | 0.601524 | − | 0.280495i | ||||
\(623\) | −10.8833 | − | 5.07497i | −0.436031 | − | 0.203324i | ||||
\(624\) | 5.79147 | + | 6.90200i | 0.231844 | + | 0.276301i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 19.5469i | 0.781250i | ||||||||
\(627\) | 15.6991 | + | 9.93308i | 0.626960 | + | 0.396689i | ||||
\(628\) | −10.6992 | + | 10.6992i | −0.426944 | + | 0.426944i | ||||
\(629\) | 0.554352 | + | 3.14388i | 0.0221034 | + | 0.125355i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −45.7950 | + | 16.6680i | −1.82307 | + | 0.663544i | −0.828438 | + | 0.560081i | \(0.810770\pi\) |
−0.994633 | + | 0.103462i | \(0.967008\pi\) | |||||||
\(632\) | −0.938933 | − | 2.01355i | −0.0373487 | − | 0.0800946i | ||||
\(633\) | 34.6372 | − | 3.03036i | 1.37671 | − | 0.120446i | ||||
\(634\) | −16.1937 | − | 9.34943i | −0.643133 | − | 0.371313i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.884398 | + | 5.01567i | −0.0350687 | + | 0.198884i | ||||
\(637\) | 21.0096 | + | 30.0049i | 0.832433 | + | 1.18884i | ||||
\(638\) | 4.01378 | + | 1.07549i | 0.158907 | + | 0.0425791i | ||||
\(639\) | 0.985169 | − | 1.70636i | 0.0389727 | − | 0.0675027i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.70399 | − | 23.9140i | 0.343787 | − | 0.944547i | −0.640498 | − | 0.767960i | \(-0.721272\pi\) |
0.984285 | − | 0.176587i | \(-0.0565057\pi\) | |||||||
\(642\) | −9.29765 | + | 19.9389i | −0.366949 | + | 0.786925i | ||||
\(643\) | 0.874517 | − | 9.99578i | 0.0344876 | − | 0.394195i | −0.959258 | − | 0.282530i | \(-0.908826\pi\) |
0.993746 | − | 0.111665i | \(-0.0356182\pi\) | |||||||
\(644\) | −5.59466 | + | 0.986489i | −0.220460 | + | 0.0388731i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.41144 | + | 1.85128i | −0.0555323 | + | 0.0728378i | ||||
\(647\) | 23.1183 | + | 23.1183i | 0.908874 | + | 0.908874i | 0.996181 | − | 0.0873074i | \(-0.0278262\pi\) |
−0.0873074 | + | 0.996181i | \(0.527826\pi\) | |||||||
\(648\) | −3.79471 | + | 5.41940i | −0.149070 | + | 0.212894i | ||||
\(649\) | −13.8482 | + | 11.6200i | −0.543589 | + | 0.456126i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.77099 | + | 2.10047i | 0.226183 | + | 0.0823238i | ||||
\(652\) | −1.00998 | − | 11.5442i | −0.0395540 | − | 0.452105i | ||||
\(653\) | 6.33914 | + | 23.6580i | 0.248070 | + | 0.925808i | 0.971816 | + | 0.235742i | \(0.0757520\pi\) |
−0.723746 | + | 0.690066i | \(0.757581\pi\) | |||||||
\(654\) | 14.6617 | + | 25.3948i | 0.573318 | + | 0.993016i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −3.35953 | − | 0.592376i | −0.131168 | − | 0.0231284i | ||||
\(657\) | −1.62849 | + | 6.07760i | −0.0635333 | + | 0.237110i | ||||
\(658\) | 1.54467 | − | 0.413892i | 0.0602174 | − | 0.0161352i | ||||
\(659\) | 38.7486 | + | 32.5139i | 1.50943 | + | 1.26656i | 0.864854 | + | 0.502024i | \(0.167411\pi\) |
0.644577 | + | 0.764539i | \(0.277034\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.14741 | + | 25.1323i | 0.355793 | + | 0.977533i | 0.980473 | + | 0.196652i | \(0.0630070\pi\) |
−0.624680 | + | 0.780881i | \(0.714771\pi\) | |||||||
\(662\) | 15.7064 | + | 1.37413i | 0.610447 | + | 0.0534072i | ||||
\(663\) | 3.94171 | + | 2.76002i | 0.153083 | + | 0.107190i | ||||
\(664\) | 13.1884 | 0.511811 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.90150 | 0.151180 | ||||||||
\(667\) | −7.91459 | − | 5.54185i | −0.306454 | − | 0.214581i | ||||
\(668\) | −19.8355 | − | 1.73539i | −0.767460 | − | 0.0671441i | ||||
\(669\) | 12.8858 | + | 35.4033i | 0.498192 | + | 1.36877i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.45881 | + | 1.22409i | 0.0563167 | + | 0.0472553i | ||||
\(672\) | −1.29977 | + | 0.348273i | −0.0501398 | + | 0.0134349i | ||||
\(673\) | 1.42596 | − | 5.32176i | 0.0549667 | − | 0.205139i | −0.932981 | − | 0.359925i | \(-0.882802\pi\) |
0.987948 | + | 0.154786i | \(0.0494689\pi\) | |||||||
\(674\) | −16.8426 | − | 2.96981i | −0.648753 | − | 0.114393i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.7920 | − | 18.6922i | −0.415075 | − | 0.718931i | ||||
\(677\) | −1.81174 | − | 6.76150i | −0.0696308 | − | 0.259866i | 0.922331 | − | 0.386400i | \(-0.126281\pi\) |
−0.991962 | + | 0.126534i | \(0.959615\pi\) | |||||||
\(678\) | 0.790357 | + | 9.03382i | 0.0303535 | + | 0.346942i | ||||
\(679\) | 5.57405 | + | 2.02879i | 0.213912 | + | 0.0778578i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 23.6202 | − | 19.8197i | 0.905127 | − | 0.759492i | ||||
\(682\) | 7.28216 | − | 10.4000i | 0.278848 | − | 0.398237i | ||||
\(683\) | −14.0680 | − | 14.0680i | −0.538298 | − | 0.538298i | 0.384731 | − | 0.923029i | \(-0.374294\pi\) |
−0.923029 | + | 0.384731i | \(0.874294\pi\) | |||||||
\(684\) | 1.92860 | + | 2.09163i | 0.0737418 | + | 0.0799756i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −11.4421 | + | 2.01755i | −0.436861 | + | 0.0770304i | ||||
\(687\) | −1.73697 | + | 19.8537i | −0.0662696 | + | 0.757466i | ||||
\(688\) | −3.10058 | + | 6.64921i | −0.118208 | + | 0.253499i | ||||
\(689\) | 6.68625 | − | 18.3703i | 0.254726 | − | 0.699853i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.31837 | + | 10.9437i | −0.240362 | + | 0.416319i | −0.960817 | − | 0.277182i | \(-0.910599\pi\) |
0.720455 | + | 0.693501i | \(0.243933\pi\) | |||||||
\(692\) | 9.75872 | + | 2.61484i | 0.370971 | + | 0.0994013i | ||||
\(693\) | −0.914694 | − | 1.30632i | −0.0347463 | − | 0.0496229i | ||||
\(694\) | 0.323973 | − | 1.83734i | 0.0122979 | − | 0.0697446i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.98197 | − | 1.14429i | −0.0751263 | − | 0.0433742i | ||||
\(697\) | −1.81498 | + | 0.158790i | −0.0687471 | + | 0.00601459i | ||||
\(698\) | −6.46029 | − | 13.8541i | −0.244525 | − | 0.524386i | ||||
\(699\) | 24.9920 | − | 9.09636i | 0.945286 | − | 0.344056i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.50392 | − | 42.5569i | −0.283419 | − | 1.60735i | −0.710878 | − | 0.703315i | \(-0.751702\pi\) |
0.427459 | − | 0.904035i | \(-0.359409\pi\) | |||||||
\(702\) | 23.2713 | − | 23.2713i | 0.878318 | − | 0.878318i | ||||
\(703\) | −5.56042 | + | 25.4549i | −0.209715 | + | 0.960048i | ||||
\(704\) | 2.78182i | 0.104844i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 17.9356 | + | 21.3748i | 0.675016 | + | 0.804453i | ||||
\(707\) | −8.93004 | − | 4.16414i | −0.335849 | − | 0.156609i | ||||
\(708\) | 9.02341 | − | 4.20768i | 0.339120 | − | 0.158134i | ||||
\(709\) | −25.5927 | + | 30.5002i | −0.961153 | + | 1.14546i | 0.0281531 | + | 0.999604i | \(0.491037\pi\) |
−0.989306 | + | 0.145854i | \(0.953407\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.25584 | + | 0.725057i | −0.0470975 | + | 0.0271918i | ||||
\(712\) | 11.1998 | − | 7.84218i | 0.419730 | − | 0.293898i | ||||
\(713\) | −24.1817 | + | 16.9322i | −0.905612 | + | 0.634116i | ||||
\(714\) | −0.622377 | + | 0.359330i | −0.0232919 | + | 0.0134476i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.44931 | + | 5.30248i | −0.166278 | + | 0.198163i | ||||
\(717\) | 7.96106 | − | 3.71231i | 0.297311 | − | 0.138639i | ||||
\(718\) | −2.44103 | − | 1.13827i | −0.0910986 | − | 0.0424800i | ||||
\(719\) | −9.70751 | − | 11.5690i | −0.362029 | − | 0.431449i | 0.554028 | − | 0.832498i | \(-0.313090\pi\) |
−0.916057 | + | 0.401049i | \(0.868646\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 9.86756i | − | 0.367487i | ||||||
\(722\) | −16.3952 | + | 9.60190i | −0.610167 | + | 0.357346i | ||||
\(723\) | 29.4690 | − | 29.4690i | 1.09596 | − | 1.09596i | ||||
\(724\) | 1.40465 | + | 7.96618i | 0.0522035 | + | 0.296061i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −4.69555 | + | 1.70904i | −0.174268 | + | 0.0634285i | ||||
\(727\) | −15.5205 | − | 33.2838i | −0.575623 | − | 1.23443i | −0.951469 | − | 0.307745i | \(-0.900426\pi\) |
0.375846 | − | 0.926682i | \(-0.377352\pi\) | |||||||
\(728\) | 5.14542 | − | 0.450166i | 0.190702 | − | 0.0166843i | ||||
\(729\) | 26.0155 | + | 15.0201i | 0.963538 | + | 0.556299i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.680399 | + | 3.85874i | −0.0251655 | + | 0.142721i | ||||
\(732\) | −0.601577 | − | 0.859141i | −0.0222349 | − | 0.0317547i | ||||
\(733\) | 39.5394 | + | 10.5946i | 1.46042 | + | 0.391319i | 0.899636 | − | 0.436641i | \(-0.143832\pi\) |
0.560787 | + | 0.827960i | \(0.310499\pi\) | |||||||
\(734\) | 7.22154 | − | 12.5081i | 0.266552 | − | 0.461681i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.21225 | − | 6.07810i | 0.0815445 | − | 0.224042i | ||||
\(737\) | −1.12807 | + | 2.41916i | −0.0415531 | + | 0.0891110i | ||||
\(738\) | −0.194061 | + | 2.21813i | −0.00714350 | + | 0.0816506i | ||||
\(739\) | −1.95742 | + | 0.345146i | −0.0720049 | + | 0.0126964i | −0.209535 | − | 0.977801i | \(-0.567195\pi\) |
0.137530 | + | 0.990498i | \(0.456084\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 21.2042 | + | 33.0572i | 0.778956 | + | 1.21439i | ||||
\(742\) | 2.06452 | + | 2.06452i | 0.0757908 | + | 0.0757908i | ||||
\(743\) | 20.1921 | − | 28.8373i | 0.740776 | − | 1.05794i | −0.255073 | − | 0.966922i | \(-0.582100\pi\) |
0.995849 | − | 0.0910163i | \(-0.0290115\pi\) | |||||||
\(744\) | −5.35647 | + | 4.49461i | −0.196378 | + | 0.164780i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −20.8809 | − | 7.60002i | −0.764503 | − | 0.278256i | ||||
\(747\) | −0.750249 | − | 8.57539i | −0.0274502 | − | 0.313757i | ||||
\(748\) | 0.384524 | + | 1.43506i | 0.0140596 | + | 0.0524712i | ||||
\(749\) | 6.30596 | + | 10.9222i | 0.230415 | + | 0.399090i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 32.5691 | + | 5.74281i | 1.18846 | + | 0.209558i | 0.732706 | − | 0.680546i | \(-0.238257\pi\) |
0.455758 | + | 0.890104i | \(0.349368\pi\) | |||||||
\(752\) | −0.471246 | + | 1.75871i | −0.0171846 | + | 0.0641337i | ||||
\(753\) | −35.1309 | + | 9.41329i | −1.28024 | + | 0.343039i | ||||
\(754\) | 6.72935 | + | 5.64659i | 0.245068 | + | 0.205637i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.68109 | + | 4.61875i | 0.0611405 | + | 0.167982i | ||||
\(757\) | 26.4923 | + | 2.31777i | 0.962878 | + | 0.0842409i | 0.557741 | − | 0.830015i | \(-0.311668\pi\) |
0.405137 | + | 0.914256i | \(0.367224\pi\) | |||||||
\(758\) | 27.1916 | + | 19.0398i | 0.987643 | + | 0.691555i | ||||
\(759\) | −27.5673 | −1.00063 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 30.7492 | 1.11466 | 0.557329 | − | 0.830292i | \(-0.311826\pi\) | ||||
0.557329 | + | 0.830292i | \(0.311826\pi\) | |||||||
\(762\) | 16.1737 | + | 11.3249i | 0.585910 | + | 0.410259i | ||||
\(763\) | 16.7461 | + | 1.46510i | 0.606251 | + | 0.0530401i | ||||
\(764\) | 7.99984 | + | 21.9794i | 0.289424 | + | 0.795186i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.246303 | + | 0.206673i | 0.00889929 | + | 0.00746739i | ||||
\(767\) | −36.9140 | + | 9.89109i | −1.33289 | + | 0.357147i | ||||
\(768\) | 0.396534 | − | 1.47988i | 0.0143087 | − | 0.0534007i | ||||
\(769\) | 13.2676 | + | 2.33944i | 0.478443 | + | 0.0843624i | 0.407669 | − | 0.913130i | \(-0.366342\pi\) |
0.0707745 | + | 0.997492i | \(0.477453\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 17.4580 | + | 30.2381i | 0.628734 | + | 1.08900i | ||||
\(772\) | −1.43834 | − | 5.36796i | −0.0517670 | − | 0.193197i | ||||
\(773\) | 3.31120 | + | 37.8472i | 0.119095 | + | 1.36127i | 0.786969 | + | 0.616993i | \(0.211649\pi\) |
−0.667873 | + | 0.744275i | \(0.732795\pi\) | |||||||
\(774\) | 4.49983 | + | 1.63780i | 0.161743 | + | 0.0588697i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −5.17368 | + | 4.34123i | −0.185724 | + | 0.155841i | ||||
\(777\) | −4.61351 | + | 6.58877i | −0.165509 | + | 0.236371i | ||||
\(778\) | −13.6520 | − | 13.6520i | −0.489447 | − | 0.489447i | ||||
\(779\) | −14.1953 | − | 4.42741i | −0.508601 | − | 0.158628i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 8.26999 | − | 1.45822i | 0.295923 | − | 0.0521793i | ||||
\(782\) | 0.301077 | − | 3.44132i | 0.0107665 | − | 0.123061i | ||||
\(783\) | −3.53288 | + | 7.57628i | −0.126255 | + | 0.270754i | ||||
\(784\) | 2.13031 | − | 5.85297i | 0.0760824 | − | 0.209035i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −7.12047 | + | 12.3330i | −0.253979 | + | 0.439904i | ||||
\(787\) | 1.10331 | + | 0.295631i | 0.0393288 | + | 0.0105381i | 0.278430 | − | 0.960457i | \(-0.410186\pi\) |
−0.239101 | + | 0.970995i | \(0.576853\pi\) | |||||||
\(788\) | 6.03440 | + | 8.61801i | 0.214966 | + | 0.307004i | ||||
\(789\) | −1.67523 | + | 9.50071i | −0.0596398 | + | 0.338234i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.50209 | + | 2.59928i | 0.160076 | + | 0.0924198i | ||||
\(792\) | 1.80879 | − | 0.158249i | 0.0642726 | − | 0.00562313i | ||||
\(793\) | 1.70138 | + | 3.64862i | 0.0604177 | + | 0.129566i | ||||
\(794\) | −17.9981 | + | 6.55079i | −0.638730 | + | 0.232479i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.745583 | − | 4.22841i | −0.0264265 | − | 0.149872i | ||||
\(797\) | 29.4427 | − | 29.4427i | 1.04291 | − | 1.04291i | 0.0438768 | − | 0.999037i | \(-0.486029\pi\) |
0.999037 | − | 0.0438768i | \(-0.0139709\pi\) | |||||||
\(798\) | −5.81286 | + | 0.783630i | −0.205773 | + | 0.0277402i | ||||
\(799\) | 0.972412i | 0.0344015i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.73626 | − | 6.83621i | −0.202681 | − | 0.241546i | ||||
\(802\) | 2.77366 | + | 1.29338i | 0.0979414 | + | 0.0456708i | ||||
\(803\) | −24.3039 | + | 11.3331i | −0.857667 | + | 0.399937i | ||||
\(804\) | 0.944957 | − | 1.12616i | 0.0333261 | − | 0.0397165i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 23.2439 | − | 13.4198i | 0.818730 | − | 0.472694i | ||||
\(807\) | 20.5202 | − | 14.3684i | 0.722347 | − | 0.505793i | ||||
\(808\) | 9.18972 | − | 6.43471i | 0.323293 | − | 0.226372i | ||||
\(809\) | −44.8609 | + | 25.9004i | −1.57722 | + | 0.910611i | −0.581980 | + | 0.813203i | \(0.697722\pi\) |
−0.995245 | + | 0.0974079i | \(0.968945\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.6803 | − | 25.8375i | 0.761297 | − | 0.907279i | −0.236632 | − | 0.971599i | \(-0.576044\pi\) |
0.997929 | + | 0.0643204i | \(0.0204880\pi\) | |||||||
\(812\) | −1.18904 | + | 0.554460i | −0.0417272 | + | 0.0194577i | ||||
\(813\) | −28.9481 | − | 13.4987i | −1.01525 | − | 0.473420i | ||||
\(814\) | 10.6884 | + | 12.7379i | 0.374627 | + | 0.446464i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | − | 0.818245i | − | 0.0286443i | ||||||
\(817\) | −17.0988 | + | 27.0244i | −0.598211 | + | 0.945463i | ||||
\(818\) | −25.1716 | + | 25.1716i | −0.880105 | + | 0.880105i | ||||
\(819\) | −0.585414 | − | 3.32005i | −0.0204560 | − | 0.116012i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 32.1555 | − | 11.7036i | 1.12223 | − | 0.408460i | 0.286767 | − | 0.958000i | \(-0.407419\pi\) |
0.835467 | + | 0.549540i | \(0.185197\pi\) | |||||||
\(822\) | 7.47043 | + | 16.0204i | 0.260561 | + | 0.558775i | ||||
\(823\) | −21.7414 | + | 1.90213i | −0.757858 | + | 0.0663040i | −0.459534 | − | 0.888160i | \(-0.651983\pi\) |
−0.298325 | + | 0.954464i | \(0.596428\pi\) | |||||||
\(824\) | 9.72972 | + | 5.61746i | 0.338951 | + | 0.195693i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.991108 | − | 5.62085i | 0.0344851 | − | 0.195574i | ||||
\(827\) | −3.22377 | − | 4.60402i | −0.112102 | − | 0.160098i | 0.759181 | − | 0.650880i | \(-0.225600\pi\) |
−0.871282 | + | 0.490782i | \(0.836711\pi\) | |||||||
\(828\) | −4.07795 | − | 1.09268i | −0.141719 | − | 0.0379734i | ||||
\(829\) | 24.0684 | − | 41.6878i | 0.835931 | − | 1.44788i | −0.0573385 | − | 0.998355i | \(-0.518261\pi\) |
0.893270 | − | 0.449521i | \(-0.148405\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 13.7205 | − | 37.6967i | 0.475958 | − | 1.30768i | ||||
\(832\) | −2.48534 | + | 5.32982i | −0.0861636 | + | 0.184778i | ||||
\(833\) | 0.289925 | − | 3.31386i | 0.0100453 | − | 0.114818i | ||||
\(834\) | 6.17426 | − | 1.08869i | 0.213797 | − | 0.0376982i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −1.54541 | + | 12.0268i | −0.0534493 | + | 0.415955i | ||||
\(837\) | 18.0603 | + | 18.0603i | 0.624254 | + | 0.624254i | ||||
\(838\) | −16.6740 | + | 23.8129i | −0.575993 | + | 0.822603i | ||||
\(839\) | 29.4006 | − | 24.6700i | 1.01502 | − | 0.851704i | 0.0260278 | − | 0.999661i | \(-0.491714\pi\) |
0.988994 | + | 0.147957i | \(0.0472697\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.1543 | + | 9.15542i | 0.867390 | + | 0.315704i | ||||
\(842\) | 1.76649 | + | 20.1910i | 0.0608771 | + | 0.695829i | ||||
\(843\) | 9.93978 | + | 37.0958i | 0.342344 | + | 1.27765i | ||||
\(844\) | 11.3471 | + | 19.6538i | 0.390583 | + | 0.676510i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 1.17036 | + | 0.206366i | 0.0402377 | + | 0.00709500i | ||||
\(847\) | −0.741401 | + | 2.76695i | −0.0254748 | + | 0.0950734i | ||||
\(848\) | −3.21098 | + | 0.860379i | −0.110265 | + | 0.0295455i | ||||
\(849\) | −1.53864 | − | 1.29107i | −0.0528061 | − | 0.0443095i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −13.2236 | − | 36.3315i | −0.453299 | − | 1.24543i | ||||
\(852\) | −4.60737 | − | 0.403093i | −0.157846 | − | 0.0138097i | ||||
\(853\) | −24.8075 | − | 17.3704i | −0.849392 | − | 0.594751i | 0.0657710 | − | 0.997835i | \(-0.479049\pi\) |
−0.915163 | + | 0.403084i | \(0.867938\pi\) | |||||||
\(854\) | −0.601251 | −0.0205744 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −14.3596 | −0.490800 | ||||||||
\(857\) | −18.8455 | − | 13.1958i | −0.643751 | − | 0.450759i | 0.205566 | − | 0.978643i | \(-0.434097\pi\) |
−0.849316 | + | 0.527884i | \(0.822985\pi\) | |||||||
\(858\) | 24.9686 | + | 2.18447i | 0.852413 | + | 0.0745765i | ||||
\(859\) | 15.3095 | + | 42.0626i | 0.522354 | + | 1.43516i | 0.867893 | + | 0.496752i | \(0.165474\pi\) |
−0.345538 | + | 0.938405i | \(0.612304\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −3.51646 | − | 2.95066i | −0.119840 | − | 0.100558i | ||||
\(862\) | 3.77676 | − | 1.01198i | 0.128637 | − | 0.0344681i | ||||
\(863\) | 0.916555 | − | 3.42063i | 0.0311999 | − | 0.116440i | −0.948570 | − | 0.316568i | \(-0.897469\pi\) |
0.979770 | + | 0.200129i | \(0.0641360\pi\) | |||||||
\(864\) | −5.51125 | − | 0.971782i | −0.187496 | − | 0.0330607i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −10.7835 | − | 18.6776i | −0.366438 | − | 0.634690i | ||||
\(867\) | 6.62797 | + | 24.7359i | 0.225098 | + | 0.840076i | ||||
\(868\) | 0.349363 | + | 3.99323i | 0.0118581 | + | 0.135539i | ||||
\(869\) | −5.80765 | − | 2.11381i | −0.197011 | − | 0.0717062i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.32267 | + | 3.62715i | −0.146468 | + | 0.122901i | ||||
\(872\) | −10.9780 | + | 15.6782i | −0.371761 | + | 0.530929i | ||||
\(873\) | 3.11707 | + | 3.11707i | 0.105497 | + | 0.105497i | ||||
\(874\) | 12.9410 | − | 25.0488i | 0.437734 | − | 0.847287i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 14.5448 | − | 2.56464i | 0.491423 | − | 0.0866511i | ||||
\(877\) | 0.806017 | − | 9.21282i | 0.0272173 | − | 0.311095i | −0.970367 | − | 0.241634i | \(-0.922317\pi\) |
0.997585 | − | 0.0694606i | \(-0.0221278\pi\) | |||||||
\(878\) | −7.87493 | + | 16.8878i | −0.265766 | + | 0.569937i | ||||
\(879\) | −6.88042 | + | 18.9038i | −0.232071 | + | 0.637610i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.50606 | − | 9.53677i | 0.185504 | − | 0.321302i | −0.758242 | − | 0.651973i | \(-0.773942\pi\) |
0.943746 | + | 0.330671i | \(0.107275\pi\) | |||||||
\(882\) | −3.92690 | − | 1.05221i | −0.132226 | − | 0.0354298i | ||||
\(883\) | −9.31326 | − | 13.3007i | −0.313416 | − | 0.447605i | 0.631278 | − | 0.775556i | \(-0.282531\pi\) |
−0.944695 | + | 0.327952i | \(0.893642\pi\) | |||||||
\(884\) | −0.545389 | + | 3.09306i | −0.0183434 | + | 0.104031i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 13.6855 | + | 7.90130i | 0.459772 | + | 0.265449i | ||||
\(887\) | −26.6168 | + | 2.32867i | −0.893705 | + | 0.0781891i | −0.524748 | − | 0.851257i | \(-0.675841\pi\) |
−0.368957 | + | 0.929447i | \(0.620285\pi\) | |||||||
\(888\) | −3.87033 | − | 8.29995i | −0.129880 | − | 0.278528i | ||||
\(889\) | 10.6362 | − | 3.87126i | 0.356726 | − | 0.129838i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.19584 | + | 18.1245i | 0.107065 | + | 0.607195i | ||||
\(892\) | −17.3884 | + | 17.3884i | −0.582206 | + | 0.582206i | ||||
\(893\) | −3.01440 | + | 7.34174i | −0.100873 | + | 0.245682i | ||||
\(894\) | − | 29.5417i | − | 0.988023i | ||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.564557 | − | 0.672812i | −0.0188605 | − | 0.0224771i | ||||
\(897\) | −52.8176 | − | 24.6293i | −1.76353 | − | 0.822347i | ||||
\(898\) | −27.5502 | + | 12.8469i | −0.919362 | + | 0.428706i | ||||
\(899\) | −4.38217 | + | 5.22247i | −0.146154 | + | 0.174179i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.53753 | + | 0.887693i | −0.0512225 | + | 0.0295734i | ||||
\(902\) | −7.77357 | + | 5.44311i | −0.258831 | + | 0.181236i | ||||
\(903\) | −8.08691 | + | 5.66252i | −0.269116 | + | 0.188437i | ||||
\(904\) | −5.12595 | + | 2.95947i | −0.170486 | + | 0.0984304i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −9.78907 | + | 11.6662i | −0.325220 | + | 0.387582i | ||||
\(907\) | 43.9809 | − | 20.5086i | 1.46036 | − | 0.680977i | 0.479833 | − | 0.877360i | \(-0.340697\pi\) |
0.980527 | + | 0.196382i | \(0.0629193\pi\) | |||||||
\(908\) | 18.2398 | + | 8.50537i | 0.605310 | + | 0.282261i | ||||
\(909\) | −4.70675 | − | 5.60929i | −0.156113 | − | 0.186048i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 22.6469i | − | 0.750326i | −0.926959 | − | 0.375163i | \(-0.877587\pi\) | ||
0.926959 | − | 0.375163i | \(-0.122413\pi\) | |||||||
\(912\) | 2.53649 | − | 6.17777i | 0.0839917 | − | 0.204566i | ||||
\(913\) | 25.9422 | − | 25.9422i | 0.858562 | − | 0.858562i | ||||
\(914\) | −2.37249 | − | 13.4551i | −0.0784750 | − | 0.445054i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.2236 | + | 4.44902i | −0.403879 | + | 0.147000i | ||||
\(917\) | 3.45019 | + | 7.39896i | 0.113935 | + | 0.244335i | ||||
\(918\) | −2.97743 | + | 0.260492i | −0.0982699 | + | 0.00859750i | ||||
\(919\) | 24.7135 | + | 14.2683i | 0.815222 | + | 0.470668i | 0.848766 | − | 0.528769i | \(-0.177346\pi\) |
−0.0335443 | + | 0.999437i | \(0.510679\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 8.63086 | − | 48.9480i | 0.284396 | − | 1.61289i | ||||
\(922\) | 13.1415 | + | 18.7679i | 0.432791 | + | 0.618089i | ||||
\(923\) | 17.1477 | + | 4.59471i | 0.564423 | + | 0.151237i | ||||
\(924\) | −1.87164 | + | 3.24178i | −0.0615724 | + | 0.106647i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 1.25396 | − | 3.44523i | 0.0412077 | − | 0.113217i | ||||
\(927\) | 3.09909 | − | 6.64602i | 0.101787 | − | 0.218284i | ||||
\(928\) | 0.130190 | − | 1.48808i | 0.00427370 | − | 0.0488486i | ||||
\(929\) | −21.8075 | + | 3.84525i | −0.715480 | + | 0.126159i | −0.519526 | − | 0.854455i | \(-0.673892\pi\) |
−0.195954 | + | 0.980613i | \(0.562780\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.4616 | − | 24.1210i | 0.408414 | − | 0.790533i | ||||
\(932\) | 12.2749 | + | 12.2749i | 0.402077 | + | 0.402077i | ||||
\(933\) | −14.5461 | + | 20.7740i | −0.476219 | + | 0.680112i | ||||
\(934\) | 3.78394 | − | 3.17511i | 0.123814 | − | 0.103893i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.60694 | + | 1.31282i | 0.117897 | + | 0.0429108i | ||||
\(937\) | −0.257291 | − | 2.94085i | −0.00840532 | − | 0.0960733i | 0.990833 | − | 0.135091i | \(-0.0431327\pi\) |
−0.999239 | + | 0.0390177i | \(0.987577\pi\) | |||||||
\(938\) | −0.218121 | − | 0.814037i | −0.00712189 | − | 0.0265793i | ||||
\(939\) | −14.9738 | − | 25.9353i | −0.488650 | − | 0.846367i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 41.6228 | + | 7.33922i | 1.35686 | + | 0.239252i | 0.804303 | − | 0.594220i | \(-0.202539\pi\) |
0.552562 | + | 0.833472i | \(0.313650\pi\) | |||||||
\(942\) | 5.99993 | − | 22.3921i | 0.195488 | − | 0.729572i | ||||
\(943\) | 21.3134 | − | 5.71091i | 0.694060 | − | 0.185973i | ||||
\(944\) | 4.97811 | + | 4.17713i | 0.162024 | + | 0.135954i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.98031 | + | 19.1782i | 0.226949 | + | 0.623538i | ||||
\(947\) | −6.27934 | − | 0.549371i | −0.204051 | − | 0.0178522i | −0.0153281 | − | 0.999883i | \(-0.504879\pi\) |
−0.188723 | + | 0.982030i | \(0.560435\pi\) | |||||||
\(948\) | 2.78827 | + | 1.95237i | 0.0905588 | + | 0.0634099i | ||||
\(949\) | −56.6903 | −1.84025 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 28.6483 | 0.928985 | ||||||||
\(952\) | −0.384241 | − | 0.269048i | −0.0124533 | − | 0.00871991i | ||||
\(953\) | −58.8446 | − | 5.14824i | −1.90616 | − | 0.166768i | −0.927720 | − | 0.373278i | \(-0.878234\pi\) |
−0.978444 | + | 0.206510i | \(0.933789\pi\) | |||||||
\(954\) | 0.742098 | + | 2.03890i | 0.0240263 | + | 0.0660118i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 4.39203 | + | 3.68535i | 0.142048 | + | 0.119193i | ||||
\(957\) | −6.14947 | + | 1.64775i | −0.198784 | + | 0.0532641i | ||||
\(958\) | 5.02207 | − | 18.7426i | 0.162256 | − | 0.605547i | ||||
\(959\) | 9.97940 | + | 1.75964i | 0.322252 | + | 0.0568217i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −5.08520 | − | 8.80783i | −0.164039 | − | 0.284124i | ||||
\(962\) | 9.09807 | + | 33.9544i | 0.293333 | + | 1.09474i | ||||
\(963\) | 0.816870 | + | 9.33687i | 0.0263233 | + | 0.300876i | ||||
\(964\) | 25.5612 | + | 9.30353i | 0.823272 | + | 0.299647i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 6.66745 | − | 5.59466i | 0.214522 | − | 0.180005i | ||||
\(967\) | 8.24159 | − | 11.7702i | 0.265032 | − | 0.378504i | −0.664475 | − | 0.747311i | \(-0.731345\pi\) |
0.929506 | + | 0.368807i | \(0.120234\pi\) | |||||||
\(968\) | −2.30623 | − | 2.30623i | −0.0741249 | − | 0.0741249i | ||||
\(969\) | 0.454569 | − | 3.53756i | 0.0146029 | − | 0.113643i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 6.61950 | − | 1.16720i | 0.212430 | − | 0.0374571i | −0.0664203 | − | 0.997792i | \(-0.521158\pi\) |
0.278850 | + | 0.960335i | \(0.410047\pi\) | |||||||
\(972\) | −0.579821 | + | 6.62739i | −0.0185978 | + | 0.212574i | ||||
\(973\) | 1.51893 | − | 3.25735i | 0.0486946 | − | 0.104426i | ||||
\(974\) | −9.56933 | + | 26.2915i | −0.306621 | + | 0.842435i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.342283 | − | 0.592852i | 0.0109562 | − | 0.0189767i | ||||
\(977\) | −55.3159 | − | 14.8218i | −1.76971 | − | 0.474193i | −0.781064 | − | 0.624451i | \(-0.785323\pi\) |
−0.988647 | + | 0.150258i | \(0.951990\pi\) | |||||||
\(978\) | 10.1834 | + | 14.5434i | 0.325630 | + | 0.465048i | ||||
\(979\) | 6.60456 | − | 37.4563i | 0.211083 | − | 1.19711i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.8188 | + | 6.24621i | 0.345416 | + | 0.199426i | ||||
\(982\) | 0.808952 | − | 0.0707741i | 0.0258147 | − | 0.00225849i | ||||
\(983\) | −10.0174 | − | 21.4825i | −0.319507 | − | 0.685185i | 0.679308 | − | 0.733853i | \(-0.262280\pi\) |
−0.998815 | + | 0.0486683i | \(0.984502\pi\) | |||||||
\(984\) | 4.91131 | − | 1.78757i | 0.156567 | − | 0.0569856i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −0.138532 | − | 0.785656i | −0.00441177 | − | 0.0250204i | ||||
\(987\) | −1.73245 | + | 1.73245i | −0.0551444 | + | 0.0551444i | ||||
\(988\) | −13.7059 | + | 21.6620i | −0.436044 | + | 0.689160i | ||||
\(989\) | − | 47.4544i | − | 1.50896i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.66294 | + | 10.3241i | 0.275187 | + | 0.327956i | 0.885882 | − | 0.463911i | \(-0.153554\pi\) |
−0.610695 | + | 0.791866i | \(0.709110\pi\) | |||||||
\(992\) | −4.13634 | − | 1.92881i | −0.131329 | − | 0.0612397i | ||||
\(993\) | −21.8924 | + | 10.2086i | −0.694733 | + | 0.323959i | ||||
\(994\) | −1.70425 | + | 2.03104i | −0.0540554 | + | 0.0644207i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −17.4988 | + | 10.1029i | −0.554471 | + | 0.320124i | ||||
\(997\) | −22.2435 | + | 15.5750i | −0.704458 | + | 0.493267i | −0.870072 | − | 0.492924i | \(-0.835928\pi\) |
0.165615 | + | 0.986191i | \(0.447039\pi\) | |||||||
\(998\) | 25.7050 | − | 17.9988i | 0.813677 | − | 0.569743i | ||||
\(999\) | −28.9698 | + | 16.7257i | −0.916563 | + | 0.529178i |
(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 | 950.2.bb.b.257.1 | yes | 48 | |
5.2 | odd | 4 | inner | 950.2.bb.b.143.3 | yes | 48 | |
5.3 | odd | 4 | inner | 950.2.bb.b.143.2 | ✓ | 48 | |
5.4 | even | 2 | inner | 950.2.bb.b.257.4 | yes | 48 | |
19.2 | odd | 18 | inner | 950.2.bb.b.857.2 | yes | 48 | |
95.2 | even | 36 | inner | 950.2.bb.b.743.4 | yes | 48 | |
95.59 | odd | 18 | inner | 950.2.bb.b.857.3 | yes | 48 | |
95.78 | even | 36 | inner | 950.2.bb.b.743.1 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bb.b.143.2 | ✓ | 48 | 5.3 | odd | 4 | inner | |
950.2.bb.b.143.3 | yes | 48 | 5.2 | odd | 4 | inner | |
950.2.bb.b.257.1 | yes | 48 | 1.1 | even | 1 | trivial | |
950.2.bb.b.257.4 | yes | 48 | 5.4 | even | 2 | inner | |
950.2.bb.b.743.1 | yes | 48 | 95.78 | even | 36 | inner | |
950.2.bb.b.743.4 | yes | 48 | 95.2 | even | 36 | inner | |
950.2.bb.b.857.2 | yes | 48 | 19.2 | odd | 18 | inner | |
950.2.bb.b.857.3 | yes | 48 | 95.59 | odd | 18 | inner |