Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(49,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.j (of order \(6\), degree \(2\), not 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: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 8 x^{14} - 36 x^{13} + 67 x^{12} + 34 x^{11} - 24 x^{10} + 182 x^{9} - 495 x^{8} + \cdots + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 2^{4}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.2 | ||
Root | \(-0.765301 - 2.85614i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.49 |
Dual form | 950.2.j.i.349.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | −1.47519 | − | 0.851703i | −0.851703 | − | 0.491731i | 0.00952194 | − | 0.999955i | \(-0.496969\pi\) |
−0.861225 | + | 0.508224i | \(0.830302\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.851703 | + | 1.47519i | 0.347706 | + | 0.602245i | ||||
\(7\) | − | 3.74324i | − | 1.41481i | −0.706808 | − | 0.707405i | \(-0.749866\pi\) | ||
0.706808 | − | 0.707405i | \(-0.250134\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −0.0492032 | − | 0.0852224i | −0.0164011 | − | 0.0284075i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.64483 | 1.09896 | 0.549479 | − | 0.835508i | \(-0.314826\pi\) | ||||
0.549479 | + | 0.835508i | \(0.314826\pi\) | |||||||
\(12\) | − | 1.70341i | − | 0.491731i | ||||||
\(13\) | 5.23065 | − | 3.01991i | 1.45072 | − | 0.837574i | 0.452198 | − | 0.891918i | \(-0.350640\pi\) |
0.998522 | + | 0.0543441i | \(0.0173068\pi\) | |||||||
\(14\) | −1.87162 | + | 3.24174i | −0.500211 | + | 0.866391i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.54932 | + | 2.04920i | 0.860838 | + | 0.497005i | 0.864293 | − | 0.502989i | \(-0.167766\pi\) |
−0.00345514 | + | 0.999994i | \(0.501100\pi\) | |||||||
\(18\) | 0.0984064i | 0.0231946i | ||||||||
\(19\) | 0.697500 | + | 4.30273i | 0.160017 | + | 0.987114i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.18813 | + | 5.52200i | −0.695706 | + | 1.20500i | ||||
\(22\) | −3.15651 | − | 1.82241i | −0.672971 | − | 0.388540i | ||||
\(23\) | −4.05703 | + | 2.34233i | −0.845950 | + | 0.488409i | −0.859282 | − | 0.511502i | \(-0.829089\pi\) |
0.0133324 | + | 0.999911i | \(0.495756\pi\) | |||||||
\(24\) | −0.851703 | + | 1.47519i | −0.173853 | + | 0.301123i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.03983 | −1.18451 | ||||||||
\(27\) | 5.27785i | 1.01572i | ||||||||
\(28\) | 3.24174 | − | 1.87162i | 0.612631 | − | 0.353703i | ||||
\(29\) | −3.32241 | − | 5.75459i | −0.616957 | − | 1.06860i | −0.990038 | − | 0.140802i | \(-0.955032\pi\) |
0.373081 | − | 0.927799i | \(-0.378301\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 10.8416 | 1.94722 | 0.973608 | − | 0.228226i | \(-0.0732925\pi\) | ||||
0.973608 | + | 0.228226i | \(0.0732925\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | −5.37683 | − | 3.10431i | −0.935986 | − | 0.540392i | ||||
\(34\) | −2.04920 | − | 3.54932i | −0.351435 | − | 0.608704i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.0492032 | − | 0.0852224i | 0.00820053 | − | 0.0142037i | ||||
\(37\) | − | 7.75505i | − | 1.27492i | −0.770483 | − | 0.637461i | \(-0.779985\pi\) | ||
0.770483 | − | 0.637461i | \(-0.220015\pi\) | |||||||
\(38\) | 1.54731 | − | 4.07502i | 0.251007 | − | 0.661056i | ||||
\(39\) | −10.2883 | −1.64744 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.99653 | − | 6.92220i | 0.624154 | − | 1.08107i | −0.364550 | − | 0.931184i | \(-0.618777\pi\) |
0.988704 | − | 0.149882i | \(-0.0478894\pi\) | |||||||
\(42\) | 5.52200 | − | 3.18813i | 0.852062 | − | 0.491939i | ||||
\(43\) | −3.80018 | − | 2.19403i | −0.579521 | − | 0.334587i | 0.181422 | − | 0.983405i | \(-0.441930\pi\) |
−0.760943 | + | 0.648819i | \(0.775263\pi\) | |||||||
\(44\) | 1.82241 | + | 3.15651i | 0.274739 | + | 0.475863i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.68466 | 0.690715 | ||||||||
\(47\) | 1.50969 | − | 0.871618i | 0.220210 | − | 0.127139i | −0.385837 | − | 0.922567i | \(-0.626087\pi\) |
0.606048 | + | 0.795428i | \(0.292754\pi\) | |||||||
\(48\) | 1.47519 | − | 0.851703i | 0.212926 | − | 0.122933i | ||||
\(49\) | −7.01181 | −1.00169 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.49063 | − | 6.04594i | −0.488785 | − | 0.846601i | ||||
\(52\) | 5.23065 | + | 3.01991i | 0.725360 | + | 0.418787i | ||||
\(53\) | 1.50969 | − | 0.871618i | 0.207371 | − | 0.119726i | −0.392718 | − | 0.919659i | \(-0.628465\pi\) |
0.600089 | + | 0.799933i | \(0.295132\pi\) | |||||||
\(54\) | 2.63892 | − | 4.57075i | 0.359112 | − | 0.622000i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.74324 | −0.500211 | ||||||||
\(57\) | 2.63570 | − | 6.94142i | 0.349107 | − | 0.919414i | ||||
\(58\) | 6.64483i | 0.872509i | ||||||||
\(59\) | −3.67412 | + | 6.36376i | −0.478329 | + | 0.828491i | −0.999691 | − | 0.0248448i | \(-0.992091\pi\) |
0.521362 | + | 0.853336i | \(0.325424\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.15420 | − | 1.99914i | −0.147781 | − | 0.255963i | 0.782626 | − | 0.622492i | \(-0.213880\pi\) |
−0.930407 | + | 0.366528i | \(0.880546\pi\) | |||||||
\(62\) | −9.38914 | − | 5.42082i | −1.19242 | − | 0.688445i | ||||
\(63\) | −0.319008 | + | 0.184179i | −0.0401912 | + | 0.0232044i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 3.10431 | + | 5.37683i | 0.382115 | + | 0.661842i | ||||
\(67\) | −5.83981 | + | 3.37162i | −0.713447 | + | 0.411909i | −0.812336 | − | 0.583190i | \(-0.801804\pi\) |
0.0988892 | + | 0.995098i | \(0.468471\pi\) | |||||||
\(68\) | 4.09841i | 0.497005i | ||||||||
\(69\) | 7.97988 | 0.960664 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.994093 | − | 1.72182i | 0.117977 | − | 0.204342i | −0.800989 | − | 0.598679i | \(-0.795692\pi\) |
0.918966 | + | 0.394337i | \(0.129026\pi\) | |||||||
\(72\) | −0.0852224 | + | 0.0492032i | −0.0100436 | + | 0.00579865i | ||||
\(73\) | −7.95867 | − | 4.59494i | −0.931492 | − | 0.537797i | −0.0442086 | − | 0.999022i | \(-0.514077\pi\) |
−0.887283 | + | 0.461225i | \(0.847410\pi\) | |||||||
\(74\) | −3.87752 | + | 6.71607i | −0.450753 | + | 0.780727i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.37752 | + | 2.75542i | −0.387429 | + | 0.316068i | ||||
\(77\) | − | 13.6435i | − | 1.55482i | ||||||
\(78\) | 8.90992 | + | 5.14414i | 1.00885 | + | 0.582459i | ||||
\(79\) | 3.07849 | − | 5.33210i | 0.346357 | − | 0.599909i | −0.639242 | − | 0.769006i | \(-0.720752\pi\) |
0.985599 | + | 0.169097i | \(0.0540851\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 4.34755 | − | 7.53017i | 0.483061 | − | 0.836686i | ||||
\(82\) | −6.92220 | + | 3.99653i | −0.764429 | + | 0.441343i | ||||
\(83\) | 5.69159i | 0.624734i | 0.949962 | + | 0.312367i | \(0.101122\pi\) | ||||
−0.949962 | + | 0.312367i | \(0.898878\pi\) | |||||||
\(84\) | −6.37625 | −0.695706 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.19403 | + | 3.80018i | 0.236589 | + | 0.409783i | ||||
\(87\) | 11.3188i | 1.21351i | ||||||||
\(88\) | − | 3.64483i | − | 0.388540i | ||||||
\(89\) | −5.53983 | − | 9.59527i | −0.587221 | − | 1.01710i | −0.994595 | − | 0.103835i | \(-0.966889\pi\) |
0.407374 | − | 0.913261i | \(-0.366445\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.3043 | − | 19.5795i | −1.18501 | − | 2.05249i | ||||
\(92\) | −4.05703 | − | 2.34233i | −0.422975 | − | 0.244205i | ||||
\(93\) | −15.9935 | − | 9.23386i | −1.65845 | − | 0.957507i | ||||
\(94\) | −1.74324 | −0.179801 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.70341 | −0.173853 | ||||||||
\(97\) | 1.30356 | + | 0.752610i | 0.132356 | + | 0.0764159i | 0.564716 | − | 0.825285i | \(-0.308986\pi\) |
−0.432360 | + | 0.901701i | \(0.642319\pi\) | |||||||
\(98\) | 6.07241 | + | 3.50591i | 0.613406 | + | 0.354150i | ||||
\(99\) | −0.179337 | − | 0.310621i | −0.0180241 | − | 0.0312186i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.91735 | + | 6.78506i | 0.389791 | + | 0.675138i | 0.992421 | − | 0.122883i | \(-0.0392138\pi\) |
−0.602630 | + | 0.798021i | \(0.705880\pi\) | |||||||
\(102\) | 6.98125i | 0.691247i | ||||||||
\(103\) | − | 13.6036i | − | 1.34041i | −0.742178 | − | 0.670203i | \(-0.766207\pi\) | ||
0.742178 | − | 0.670203i | \(-0.233793\pi\) | |||||||
\(104\) | −3.01991 | − | 5.23065i | −0.296127 | − | 0.512907i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.74324 | −0.169318 | ||||||||
\(107\) | 7.24845i | 0.700735i | 0.936612 | + | 0.350367i | \(0.113943\pi\) | ||||
−0.936612 | + | 0.350367i | \(0.886057\pi\) | |||||||
\(108\) | −4.57075 | + | 2.63892i | −0.439820 | + | 0.253930i | ||||
\(109\) | 2.24392 | − | 3.88659i | 0.214929 | − | 0.372268i | −0.738322 | − | 0.674449i | \(-0.764381\pi\) |
0.953251 | + | 0.302181i | \(0.0977147\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −6.60500 | + | 11.4402i | −0.626919 | + | 1.08586i | ||||
\(112\) | 3.24174 | + | 1.87162i | 0.306315 | + | 0.176851i | ||||
\(113\) | 13.2813i | 1.24940i | 0.780863 | + | 0.624702i | \(0.214780\pi\) | ||||
−0.780863 | + | 0.624702i | \(0.785220\pi\) | |||||||
\(114\) | −5.75330 | + | 4.69360i | −0.538846 | + | 0.439596i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 3.32241 | − | 5.75459i | 0.308478 | − | 0.534300i | ||||
\(117\) | −0.514729 | − | 0.297179i | −0.0475867 | − | 0.0274742i | ||||
\(118\) | 6.36376 | − | 3.67412i | 0.585831 | − | 0.338230i | ||||
\(119\) | 7.67065 | − | 13.2860i | 0.703167 | − | 1.21792i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.28478 | 0.207707 | ||||||||
\(122\) | 2.30841i | 0.208993i | ||||||||
\(123\) | −11.7913 | + | 6.80772i | −1.06319 | + | 0.613831i | ||||
\(124\) | 5.42082 | + | 9.38914i | 0.486804 | + | 0.843169i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.368358 | 0.0328160 | ||||||||
\(127\) | 2.98488 | − | 1.72332i | 0.264865 | − | 0.152920i | −0.361687 | − | 0.932300i | \(-0.617799\pi\) |
0.626552 | + | 0.779380i | \(0.284466\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 3.73733 | + | 6.47324i | 0.329053 | + | 0.569937i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.26315 | + | 14.3122i | −0.721955 | + | 1.25046i | 0.238260 | + | 0.971201i | \(0.423423\pi\) |
−0.960215 | + | 0.279261i | \(0.909911\pi\) | |||||||
\(132\) | − | 6.20863i | − | 0.540392i | ||||||
\(133\) | 16.1061 | − | 2.61091i | 1.39658 | − | 0.226394i | ||||
\(134\) | 6.74324 | 0.582527 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.04920 | − | 3.54932i | 0.175718 | − | 0.304352i | ||||
\(137\) | −19.3227 | + | 11.1560i | −1.65085 | + | 0.953118i | −0.674124 | + | 0.738618i | \(0.735479\pi\) |
−0.976724 | + | 0.214499i | \(0.931188\pi\) | |||||||
\(138\) | −6.91078 | − | 3.98994i | −0.588284 | − | 0.339646i | ||||
\(139\) | −0.880992 | − | 1.52592i | −0.0747248 | − | 0.129427i | 0.826242 | − | 0.563316i | \(-0.190474\pi\) |
−0.900967 | + | 0.433889i | \(0.857141\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.96944 | −0.250072 | ||||||||
\(142\) | −1.72182 | + | 0.994093i | −0.144492 | + | 0.0834225i | ||||
\(143\) | 19.0648 | − | 11.0071i | 1.59428 | − | 0.920458i | ||||
\(144\) | 0.0984064 | 0.00820053 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.59494 | + | 7.95867i | 0.380280 | + | 0.658664i | ||||
\(147\) | 10.3438 | + | 5.97198i | 0.853141 | + | 0.492561i | ||||
\(148\) | 6.71607 | − | 3.87752i | 0.552057 | − | 0.318731i | ||||
\(149\) | −1.80713 | + | 3.13005i | −0.148046 | + | 0.256424i | −0.930505 | − | 0.366278i | \(-0.880632\pi\) |
0.782459 | + | 0.622702i | \(0.213965\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.1711 | −1.47875 | −0.739373 | − | 0.673296i | \(-0.764878\pi\) | ||||
−0.739373 | + | 0.673296i | \(0.764878\pi\) | |||||||
\(152\) | 4.30273 | − | 0.697500i | 0.348998 | − | 0.0565747i | ||||
\(153\) | − | 0.403309i | − | 0.0326056i | ||||||
\(154\) | −6.82173 | + | 11.8156i | −0.549710 | + | 0.952126i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −5.14414 | − | 8.90992i | −0.411861 | − | 0.713364i | ||||
\(157\) | 6.74033 | + | 3.89153i | 0.537937 | + | 0.310578i | 0.744242 | − | 0.667910i | \(-0.232811\pi\) |
−0.206305 | + | 0.978488i | \(0.566144\pi\) | |||||||
\(158\) | −5.33210 | + | 3.07849i | −0.424199 | + | 0.244912i | ||||
\(159\) | −2.96944 | −0.235492 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 8.76789 | + | 15.1864i | 0.691007 | + | 1.19686i | ||||
\(162\) | −7.53017 | + | 4.34755i | −0.591626 | + | 0.341576i | ||||
\(163\) | − | 5.46539i | − | 0.428082i | −0.976825 | − | 0.214041i | \(-0.931337\pi\) | ||
0.976825 | − | 0.214041i | \(-0.0686627\pi\) | |||||||
\(164\) | 7.99307 | 0.624154 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.84580 | − | 4.92906i | 0.220877 | − | 0.382570i | ||||
\(167\) | −15.9348 | + | 9.19994i | −1.23307 | + | 0.711913i | −0.967668 | − | 0.252226i | \(-0.918837\pi\) |
−0.265400 | + | 0.964138i | \(0.585504\pi\) | |||||||
\(168\) | 5.52200 | + | 3.18813i | 0.426031 | + | 0.245969i | ||||
\(169\) | 11.7398 | − | 20.3339i | 0.903059 | − | 1.56414i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.332370 | − | 0.271151i | 0.0254170 | − | 0.0207354i | ||||
\(172\) | − | 4.38806i | − | 0.334587i | ||||||
\(173\) | 16.8860 | + | 9.74914i | 1.28382 | + | 0.741214i | 0.977544 | − | 0.210729i | \(-0.0675839\pi\) |
0.306275 | + | 0.951943i | \(0.400917\pi\) | |||||||
\(174\) | 5.65942 | − | 9.80241i | 0.429040 | − | 0.743119i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.82241 | + | 3.15651i | −0.137370 | + | 0.237931i | ||||
\(177\) | 10.8401 | − | 6.25852i | 0.814789 | − | 0.470419i | ||||
\(178\) | 11.0797i | 0.830456i | ||||||||
\(179\) | 23.5661 | 1.76142 | 0.880708 | − | 0.473660i | \(-0.157068\pi\) | ||||
0.880708 | + | 0.473660i | \(0.157068\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.86746 | − | 13.6268i | −0.584784 | − | 1.01288i | −0.994902 | − | 0.100843i | \(-0.967846\pi\) |
0.410118 | − | 0.912032i | \(-0.365487\pi\) | |||||||
\(182\) | 22.6085i | 1.67585i | ||||||||
\(183\) | 3.93215i | 0.290673i | ||||||||
\(184\) | 2.34233 | + | 4.05703i | 0.172679 | + | 0.299088i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 9.23386 | + | 15.9935i | 0.677060 | + | 1.17270i | ||||
\(187\) | 12.9367 | + | 7.46900i | 0.946024 | + | 0.546187i | ||||
\(188\) | 1.50969 | + | 0.871618i | 0.110105 | + | 0.0635693i | ||||
\(189\) | 19.7562 | 1.43705 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.64483 | 0.480803 | 0.240401 | − | 0.970674i | \(-0.422721\pi\) | ||||
0.240401 | + | 0.970674i | \(0.422721\pi\) | |||||||
\(192\) | 1.47519 | + | 0.851703i | 0.106463 | + | 0.0614664i | ||||
\(193\) | 6.92701 | + | 3.99931i | 0.498617 | + | 0.287877i | 0.728142 | − | 0.685426i | \(-0.240384\pi\) |
−0.229525 | + | 0.973303i | \(0.573717\pi\) | |||||||
\(194\) | −0.752610 | − | 1.30356i | −0.0540342 | − | 0.0935900i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.50591 | − | 6.07241i | −0.250422 | − | 0.433743i | ||||
\(197\) | 0.481593i | 0.0343121i | 0.999853 | + | 0.0171560i | \(0.00546121\pi\) | ||||
−0.999853 | + | 0.0171560i | \(0.994539\pi\) | |||||||
\(198\) | 0.358674i | 0.0254899i | ||||||||
\(199\) | 11.6793 | + | 20.2292i | 0.827926 | + | 1.43401i | 0.899662 | + | 0.436587i | \(0.143813\pi\) |
−0.0717359 | + | 0.997424i | \(0.522854\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 11.4865 | 0.810193 | ||||||||
\(202\) | − | 7.83471i | − | 0.551248i | ||||||
\(203\) | −21.5408 | + | 12.4366i | −1.51187 | + | 0.872877i | ||||
\(204\) | 3.49063 | − | 6.04594i | 0.244393 | − | 0.423301i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −6.80181 | + | 11.7811i | −0.473905 | + | 0.820827i | ||||
\(207\) | 0.399238 | + | 0.230500i | 0.0277490 | + | 0.0160209i | ||||
\(208\) | 6.03983i | 0.418787i | ||||||||
\(209\) | 2.54227 | + | 15.6827i | 0.175852 | + | 1.08480i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.91491 | − | 5.04878i | 0.200671 | − | 0.347572i | −0.748074 | − | 0.663616i | \(-0.769021\pi\) |
0.948745 | + | 0.316043i | \(0.102354\pi\) | |||||||
\(212\) | 1.50969 | + | 0.871618i | 0.103686 | + | 0.0598630i | ||||
\(213\) | −2.93296 | + | 1.69335i | −0.200963 | + | 0.116026i | ||||
\(214\) | 3.62423 | − | 6.27735i | 0.247747 | − | 0.429111i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 5.27785 | 0.359112 | ||||||||
\(217\) | − | 40.5828i | − | 2.75494i | ||||||
\(218\) | −3.88659 | + | 2.24392i | −0.263233 | + | 0.151978i | ||||
\(219\) | 7.82705 | + | 13.5568i | 0.528903 | + | 0.916087i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 24.7537 | 1.66511 | ||||||||
\(222\) | 11.4402 | − | 6.60500i | 0.767816 | − | 0.443299i | ||||
\(223\) | −14.4838 | − | 8.36224i | −0.969909 | − | 0.559977i | −0.0707005 | − | 0.997498i | \(-0.522523\pi\) |
−0.899209 | + | 0.437520i | \(0.855857\pi\) | |||||||
\(224\) | −1.87162 | − | 3.24174i | −0.125053 | − | 0.216598i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.64067 | − | 11.5020i | 0.441731 | − | 0.765101i | ||||
\(227\) | − | 4.16186i | − | 0.276232i | −0.990416 | − | 0.138116i | \(-0.955895\pi\) | ||
0.990416 | − | 0.138116i | \(-0.0441048\pi\) | |||||||
\(228\) | 7.32930 | − | 1.18813i | 0.485395 | − | 0.0786856i | ||||
\(229\) | 5.49828 | 0.363337 | 0.181668 | − | 0.983360i | \(-0.441850\pi\) | ||||
0.181668 | + | 0.983360i | \(0.441850\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.6202 | + | 20.1267i | −0.764551 | + | 1.32424i | ||||
\(232\) | −5.75459 | + | 3.32241i | −0.377807 | + | 0.218127i | ||||
\(233\) | 11.4270 | + | 6.59738i | 0.748607 | + | 0.432209i | 0.825190 | − | 0.564855i | \(-0.191068\pi\) |
−0.0765832 | + | 0.997063i | \(0.524401\pi\) | |||||||
\(234\) | 0.297179 | + | 0.514729i | 0.0194272 | + | 0.0336489i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −7.34824 | −0.478329 | ||||||||
\(237\) | −9.08274 | + | 5.24392i | −0.589987 | + | 0.340629i | ||||
\(238\) | −13.2860 | + | 7.67065i | −0.861201 | + | 0.497214i | ||||
\(239\) | −8.47720 | −0.548345 | −0.274172 | − | 0.961681i | \(-0.588404\pi\) | ||||
−0.274172 | + | 0.961681i | \(0.588404\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.5146 | − | 18.2118i | −0.677304 | − | 1.17313i | −0.975790 | − | 0.218711i | \(-0.929815\pi\) |
0.298485 | − | 0.954414i | \(-0.403519\pi\) | |||||||
\(242\) | −1.97868 | − | 1.14239i | −0.127194 | − | 0.0734356i | ||||
\(243\) | 0.885296 | − | 0.511126i | 0.0567918 | − | 0.0327887i | ||||
\(244\) | 1.15420 | − | 1.99914i | 0.0738903 | − | 0.127982i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 13.6154 | 0.868089 | ||||||||
\(247\) | 16.6423 | + | 20.3997i | 1.05892 | + | 1.29800i | ||||
\(248\) | − | 10.8416i | − | 0.688445i | ||||||
\(249\) | 4.84755 | − | 8.39620i | 0.307201 | − | 0.532088i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.6183 | − | 23.5876i | −0.859581 | − | 1.48884i | −0.872329 | − | 0.488919i | \(-0.837391\pi\) |
0.0127485 | − | 0.999919i | \(-0.495942\pi\) | |||||||
\(252\) | −0.319008 | − | 0.184179i | −0.0200956 | − | 0.0116022i | ||||
\(253\) | −14.7872 | + | 8.53739i | −0.929663 | + | 0.536741i | ||||
\(254\) | −3.44664 | −0.216262 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 14.4229 | − | 8.32705i | 0.899674 | − | 0.519427i | 0.0225796 | − | 0.999745i | \(-0.492812\pi\) |
0.877094 | + | 0.480318i | \(0.159479\pi\) | |||||||
\(258\) | − | 7.47466i | − | 0.465352i | ||||||
\(259\) | −29.0290 | −1.80377 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.326947 | + | 0.566288i | −0.0202375 | + | 0.0350524i | ||||
\(262\) | 14.3122 | − | 8.26315i | 0.884210 | − | 0.510499i | ||||
\(263\) | −1.72182 | − | 0.994093i | −0.106172 | − | 0.0612984i | 0.445974 | − | 0.895046i | \(-0.352857\pi\) |
−0.552146 | + | 0.833748i | \(0.686191\pi\) | |||||||
\(264\) | −3.10431 | + | 5.37683i | −0.191057 | + | 0.330921i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −15.2538 | − | 5.79196i | −0.935269 | − | 0.355128i | ||||
\(267\) | 18.8732i | 1.15502i | ||||||||
\(268\) | −5.83981 | − | 3.37162i | −0.356723 | − | 0.205954i | ||||
\(269\) | 3.57224 | − | 6.18731i | 0.217804 | − | 0.377247i | −0.736333 | − | 0.676620i | \(-0.763444\pi\) |
0.954136 | + | 0.299373i | \(0.0967775\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.47940 | + | 9.49060i | −0.332850 | + | 0.576513i | −0.983069 | − | 0.183234i | \(-0.941344\pi\) |
0.650220 | + | 0.759746i | \(0.274677\pi\) | |||||||
\(272\) | −3.54932 | + | 2.04920i | −0.215209 | + | 0.124251i | ||||
\(273\) | 38.5115i | 2.33082i | ||||||||
\(274\) | 22.3119 | 1.34791 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.98994 | + | 6.91078i | 0.240166 | + | 0.415980i | ||||
\(277\) | 12.2686i | 0.737147i | 0.929599 | + | 0.368574i | \(0.120154\pi\) | ||||
−0.929599 | + | 0.368574i | \(0.879846\pi\) | |||||||
\(278\) | 1.76198i | 0.105677i | ||||||||
\(279\) | −0.533443 | − | 0.923951i | −0.0319364 | − | 0.0553155i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.53983 | + | 14.7914i | 0.509443 | + | 0.882382i | 0.999940 | + | 0.0109390i | \(0.00348205\pi\) |
−0.490497 | + | 0.871443i | \(0.663185\pi\) | |||||||
\(282\) | 2.57161 | + | 1.48472i | 0.153137 | + | 0.0884138i | ||||
\(283\) | 25.9918 | + | 15.0064i | 1.54505 | + | 0.892037i | 0.998508 | + | 0.0546077i | \(0.0173908\pi\) |
0.546546 | + | 0.837429i | \(0.315943\pi\) | |||||||
\(284\) | 1.98819 | 0.117977 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −22.0141 | −1.30172 | ||||||||
\(287\) | −25.9114 | − | 14.9600i | −1.52950 | − | 0.883059i | ||||
\(288\) | −0.0852224 | − | 0.0492032i | −0.00502178 | − | 0.00289933i | ||||
\(289\) | −0.101533 | − | 0.175860i | −0.00597251 | − | 0.0103447i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.28200 | − | 2.22049i | −0.0751522 | − | 0.130167i | ||||
\(292\) | − | 9.18988i | − | 0.537797i | ||||||
\(293\) | − | 22.4677i | − | 1.31258i | −0.754509 | − | 0.656289i | \(-0.772125\pi\) | ||
0.754509 | − | 0.656289i | \(-0.227875\pi\) | |||||||
\(294\) | −5.97198 | − | 10.3438i | −0.348293 | − | 0.603261i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −7.75505 | −0.450753 | ||||||||
\(297\) | 19.2368i | 1.11624i | ||||||||
\(298\) | 3.13005 | − | 1.80713i | 0.181319 | − | 0.104684i | ||||
\(299\) | −14.1473 | + | 24.5038i | −0.818158 | + | 1.41709i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.21278 | + | 14.2250i | −0.473377 | + | 0.819913i | ||||
\(302\) | 15.7367 | + | 9.08556i | 0.905543 | + | 0.522816i | ||||
\(303\) | − | 13.3457i | − | 0.766690i | ||||||
\(304\) | −4.07502 | − | 1.54731i | −0.233719 | − | 0.0887445i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.201655 | + | 0.349276i | −0.0115278 | + | 0.0199668i | ||||
\(307\) | −14.1955 | − | 8.19578i | −0.810181 | − | 0.467758i | 0.0368378 | − | 0.999321i | \(-0.488271\pi\) |
−0.847019 | + | 0.531563i | \(0.821605\pi\) | |||||||
\(308\) | 11.8156 | − | 6.82173i | 0.673255 | − | 0.388704i | ||||
\(309\) | −11.5863 | + | 20.0680i | −0.659119 | + | 1.14163i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −18.0197 | −1.02180 | −0.510902 | − | 0.859639i | \(-0.670688\pi\) | ||||
−0.510902 | + | 0.859639i | \(0.670688\pi\) | |||||||
\(312\) | 10.2883i | 0.582459i | ||||||||
\(313\) | −15.5975 | + | 9.00522i | −0.881623 | + | 0.509005i | −0.871193 | − | 0.490941i | \(-0.836653\pi\) |
−0.0104296 | + | 0.999946i | \(0.503320\pi\) | |||||||
\(314\) | −3.89153 | − | 6.74033i | −0.219612 | − | 0.380379i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.15698 | 0.346357 | ||||||||
\(317\) | 20.1398 | − | 11.6277i | 1.13116 | − | 0.653076i | 0.186935 | − | 0.982372i | \(-0.440145\pi\) |
0.944227 | + | 0.329296i | \(0.106811\pi\) | |||||||
\(318\) | 2.57161 | + | 1.48472i | 0.144209 | + | 0.0832589i | ||||
\(319\) | −12.1096 | − | 20.9745i | −0.678009 | − | 1.17435i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.17353 | − | 10.6929i | 0.344573 | − | 0.596818i | ||||
\(322\) | − | 17.5358i | − | 0.977231i | ||||||
\(323\) | −6.34152 | + | 16.7011i | −0.352851 | + | 0.929274i | ||||
\(324\) | 8.69510 | 0.483061 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −2.73270 | + | 4.73317i | −0.151350 | + | 0.262146i | ||||
\(327\) | −6.62044 | + | 3.82231i | −0.366111 | + | 0.211374i | ||||
\(328\) | −6.92220 | − | 3.99653i | −0.382214 | − | 0.220672i | ||||
\(329\) | −3.26267 | − | 5.65111i | −0.179877 | − | 0.311556i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.38319 | 0.405817 | 0.202908 | − | 0.979198i | \(-0.434961\pi\) | ||||
0.202908 | + | 0.979198i | \(0.434961\pi\) | |||||||
\(332\) | −4.92906 | + | 2.84580i | −0.270518 | + | 0.156183i | ||||
\(333\) | −0.660904 | + | 0.381573i | −0.0362173 | + | 0.0209101i | ||||
\(334\) | 18.3999 | 1.00680 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.18813 | − | 5.52200i | −0.173927 | − | 0.301250i | ||||
\(337\) | 26.7429 | + | 15.4400i | 1.45678 | + | 0.841073i | 0.998851 | − | 0.0479153i | \(-0.0152578\pi\) |
0.457930 | + | 0.888988i | \(0.348591\pi\) | |||||||
\(338\) | −20.3339 | + | 11.7398i | −1.10602 | + | 0.638559i | ||||
\(339\) | 11.3118 | − | 19.5926i | 0.614371 | − | 1.06412i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 39.5159 | 2.13991 | ||||||||
\(342\) | −0.423416 | + | 0.0686384i | −0.0228957 | + | 0.00371154i | ||||
\(343\) | 0.0442191i | 0.00238761i | ||||||||
\(344\) | −2.19403 | + | 3.80018i | −0.118294 | + | 0.204892i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −9.74914 | − | 16.8860i | −0.524117 | − | 0.907797i | ||||
\(347\) | 7.89771 | + | 4.55974i | 0.423971 | + | 0.244780i | 0.696775 | − | 0.717290i | \(-0.254618\pi\) |
−0.272804 | + | 0.962070i | \(0.587951\pi\) | |||||||
\(348\) | −9.80241 | + | 5.65942i | −0.525464 | + | 0.303377i | ||||
\(349\) | 14.2508 | 0.762827 | 0.381414 | − | 0.924404i | \(-0.375437\pi\) | ||||
0.381414 | + | 0.924404i | \(0.375437\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 15.9386 | + | 27.6065i | 0.850742 | + | 1.47353i | ||||
\(352\) | 3.15651 | − | 1.82241i | 0.168243 | − | 0.0971350i | ||||
\(353\) | − | 7.77613i | − | 0.413882i | −0.978353 | − | 0.206941i | \(-0.933649\pi\) | ||
0.978353 | − | 0.206941i | \(-0.0663508\pi\) | |||||||
\(354\) | −12.5170 | −0.665273 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 5.53983 | − | 9.59527i | 0.293610 | − | 0.508548i | ||||
\(357\) | −22.6314 | + | 13.0662i | −1.19778 | + | 0.691539i | ||||
\(358\) | −20.4089 | − | 11.7831i | −1.07864 | − | 0.622754i | ||||
\(359\) | 2.90437 | − | 5.03052i | 0.153287 | − | 0.265501i | −0.779147 | − | 0.626841i | \(-0.784347\pi\) |
0.932434 | + | 0.361340i | \(0.117681\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.0270 | + | 6.00231i | −0.948789 | + | 0.315911i | ||||
\(362\) | 15.7349i | 0.827009i | ||||||||
\(363\) | −3.37049 | − | 1.94595i | −0.176905 | − | 0.102136i | ||||
\(364\) | 11.3043 | − | 19.5795i | 0.592504 | − | 1.02625i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.96608 | − | 3.40535i | 0.102769 | − | 0.178000i | ||||
\(367\) | 19.2974 | − | 11.1414i | 1.00732 | − | 0.581574i | 0.0969115 | − | 0.995293i | \(-0.469104\pi\) |
0.910405 | + | 0.413719i | \(0.135770\pi\) | |||||||
\(368\) | − | 4.68466i | − | 0.244205i | ||||||
\(369\) | −0.786568 | −0.0409471 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.26267 | − | 5.65111i | −0.169389 | − | 0.293391i | ||||
\(372\) | − | 18.4677i | − | 0.957507i | ||||||
\(373\) | 17.0609i | 0.883380i | 0.897168 | + | 0.441690i | \(0.145621\pi\) | ||||
−0.897168 | + | 0.441690i | \(0.854379\pi\) | |||||||
\(374\) | −7.46900 | − | 12.9367i | −0.386213 | − | 0.668940i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.871618 | − | 1.50969i | −0.0449503 | − | 0.0778561i | ||||
\(377\) | −34.7567 | − | 20.0668i | −1.79006 | − | 1.03349i | ||||
\(378\) | −17.1094 | − | 9.87811i | −0.880012 | − | 0.508075i | ||||
\(379\) | 10.0329 | 0.515355 | 0.257678 | − | 0.966231i | \(-0.417043\pi\) | ||||
0.257678 | + | 0.966231i | \(0.417043\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.87103 | −0.300782 | ||||||||
\(382\) | −5.75459 | − | 3.32241i | −0.294430 | − | 0.169990i | ||||
\(383\) | −1.72182 | − | 0.994093i | −0.0879809 | − | 0.0507958i | 0.455364 | − | 0.890305i | \(-0.349509\pi\) |
−0.543345 | + | 0.839510i | \(0.682842\pi\) | |||||||
\(384\) | −0.851703 | − | 1.47519i | −0.0434633 | − | 0.0752806i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.99931 | − | 6.92701i | −0.203560 | − | 0.352576i | ||||
\(387\) | 0.431814i | 0.0219503i | ||||||||
\(388\) | 1.50522i | 0.0764159i | ||||||||
\(389\) | 4.43854 | + | 7.68778i | 0.225043 | + | 0.389786i | 0.956332 | − | 0.292282i | \(-0.0944144\pi\) |
−0.731289 | + | 0.682067i | \(0.761081\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.1996 | −0.970967 | ||||||||
\(392\) | 7.01181i | 0.354150i | ||||||||
\(393\) | 24.3795 | − | 14.0755i | 1.22978 | − | 0.710015i | ||||
\(394\) | 0.240797 | − | 0.417072i | 0.0121312 | − | 0.0210118i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.179337 | − | 0.310621i | 0.00901203 | − | 0.0156093i | ||||
\(397\) | −18.2840 | − | 10.5563i | −0.917648 | − | 0.529804i | −0.0347640 | − | 0.999396i | \(-0.511068\pi\) |
−0.882884 | + | 0.469591i | \(0.844401\pi\) | |||||||
\(398\) | − | 23.3587i | − | 1.17086i | ||||||
\(399\) | −25.9834 | − | 9.86606i | −1.30080 | − | 0.493921i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −14.9806 | + | 25.9471i | −0.748094 | + | 1.29574i | 0.200642 | + | 0.979665i | \(0.435697\pi\) |
−0.948735 | + | 0.316072i | \(0.897636\pi\) | |||||||
\(402\) | −9.94758 | − | 5.74324i | −0.496140 | − | 0.286447i | ||||
\(403\) | 56.7088 | − | 32.7408i | 2.82487 | − | 1.63094i | ||||
\(404\) | −3.91735 | + | 6.78506i | −0.194896 | + | 0.337569i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 24.8732 | 1.23443 | ||||||||
\(407\) | − | 28.2658i | − | 1.40109i | ||||||
\(408\) | −6.04594 | + | 3.49063i | −0.299319 | + | 0.172812i | ||||
\(409\) | −2.09772 | − | 3.63336i | −0.103726 | − | 0.179658i | 0.809491 | − | 0.587132i | \(-0.199743\pi\) |
−0.913217 | + | 0.407474i | \(0.866410\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 38.0063 | 1.87471 | ||||||||
\(412\) | 11.7811 | − | 6.80181i | 0.580412 | − | 0.335101i | ||||
\(413\) | 23.8210 | + | 13.7531i | 1.17216 | + | 0.676745i | ||||
\(414\) | −0.230500 | − | 0.399238i | −0.0113285 | − | 0.0196215i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 3.01991 | − | 5.23065i | 0.148063 | − | 0.256453i | ||||
\(417\) | 3.00137i | 0.146978i | ||||||||
\(418\) | 5.63969 | − | 14.8528i | 0.275846 | − | 0.726473i | ||||
\(419\) | −12.5326 | −0.612255 | −0.306128 | − | 0.951990i | \(-0.599033\pi\) | ||||
−0.306128 | + | 0.951990i | \(0.599033\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.2883 | − | 23.0160i | 0.647631 | − | 1.12173i | −0.336056 | − | 0.941842i | \(-0.609093\pi\) |
0.983687 | − | 0.179888i | \(-0.0575736\pi\) | |||||||
\(422\) | −5.04878 | + | 2.91491i | −0.245771 | + | 0.141896i | ||||
\(423\) | −0.148563 | − | 0.0857727i | −0.00722337 | − | 0.00417041i | ||||
\(424\) | −0.871618 | − | 1.50969i | −0.0423295 | − | 0.0733169i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 3.38669 | 0.164086 | ||||||||
\(427\) | −7.48325 | + | 4.32045i | −0.362140 | + | 0.209081i | ||||
\(428\) | −6.27735 | + | 3.62423i | −0.303427 | + | 0.175184i | ||||
\(429\) | −37.4990 | −1.81047 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.0903049 | + | 0.156413i | 0.00434983 | + | 0.00753413i | 0.868192 | − | 0.496228i | \(-0.165282\pi\) |
−0.863842 | + | 0.503762i | \(0.831949\pi\) | |||||||
\(432\) | −4.57075 | − | 2.63892i | −0.219910 | − | 0.126965i | ||||
\(433\) | −10.4013 | + | 6.00522i | −0.499857 | + | 0.288592i | −0.728654 | − | 0.684882i | \(-0.759854\pi\) |
0.228798 | + | 0.973474i | \(0.426521\pi\) | |||||||
\(434\) | −20.2914 | + | 35.1458i | −0.974019 | + | 1.68705i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.48785 | 0.214929 | ||||||||
\(437\) | −12.9082 | − | 15.8225i | −0.617483 | − | 0.756895i | ||||
\(438\) | − | 15.6541i | − | 0.747982i | ||||||
\(439\) | −14.2544 | + | 24.6893i | −0.680324 | + | 1.17835i | 0.294559 | + | 0.955633i | \(0.404827\pi\) |
−0.974882 | + | 0.222722i | \(0.928506\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.345004 | + | 0.597564i | 0.0164287 | + | 0.0284554i | ||||
\(442\) | −21.4373 | − | 12.3768i | −1.01967 | − | 0.588706i | ||||
\(443\) | 7.40142 | − | 4.27321i | 0.351652 | − | 0.203026i | −0.313761 | − | 0.949502i | \(-0.601589\pi\) |
0.665413 | + | 0.746476i | \(0.268256\pi\) | |||||||
\(444\) | −13.2100 | −0.626919 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 8.36224 | + | 14.4838i | 0.395964 | + | 0.685829i | ||||
\(447\) | 5.33174 | − | 3.07828i | 0.252183 | − | 0.145598i | ||||
\(448\) | 3.74324i | 0.176851i | ||||||||
\(449\) | 4.24612 | 0.200387 | 0.100193 | − | 0.994968i | \(-0.468054\pi\) | ||||
0.100193 | + | 0.994968i | \(0.468054\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.5667 | − | 25.2302i | 0.685918 | − | 1.18805i | ||||
\(452\) | −11.5020 | + | 6.64067i | −0.541008 | + | 0.312351i | ||||
\(453\) | 26.8059 | + | 15.4764i | 1.25945 | + | 0.727145i | ||||
\(454\) | −2.08093 | + | 3.60428i | −0.0976629 | + | 0.169157i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −6.94142 | − | 2.63570i | −0.325062 | − | 0.123428i | ||||
\(457\) | − | 18.2204i | − | 0.852316i | −0.904649 | − | 0.426158i | \(-0.859867\pi\) | ||
0.904649 | − | 0.426158i | \(-0.140133\pi\) | |||||||
\(458\) | −4.76165 | − | 2.74914i | −0.222497 | − | 0.128459i | ||||
\(459\) | −10.8154 | + | 18.7328i | −0.504819 | + | 0.874371i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −15.0140 | + | 26.0050i | −0.699272 | + | 1.21117i | 0.269447 | + | 0.963015i | \(0.413159\pi\) |
−0.968719 | + | 0.248160i | \(0.920174\pi\) | |||||||
\(462\) | 20.1267 | − | 11.6202i | 0.936380 | − | 0.540619i | ||||
\(463\) | − | 10.1656i | − | 0.472434i | −0.971700 | − | 0.236217i | \(-0.924092\pi\) | ||
0.971700 | − | 0.236217i | \(-0.0759076\pi\) | |||||||
\(464\) | 6.64483 | 0.308478 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −6.59738 | − | 11.4270i | −0.305618 | − | 0.529345i | ||||
\(467\) | 13.6129i | 0.629930i | 0.949103 | + | 0.314965i | \(0.101993\pi\) | ||||
−0.949103 | + | 0.314965i | \(0.898007\pi\) | |||||||
\(468\) | − | 0.594358i | − | 0.0274742i | ||||||
\(469\) | 12.6208 | + | 21.8598i | 0.582773 | + | 1.00939i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.62886 | − | 11.4815i | −0.305442 | − | 0.529041i | ||||
\(472\) | 6.36376 | + | 3.67412i | 0.292916 | + | 0.169115i | ||||
\(473\) | −13.8510 | − | 7.99687i | −0.636869 | − | 0.367697i | ||||
\(474\) | 10.4878 | 0.481723 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 15.3413 | 0.703167 | ||||||||
\(477\) | −0.148563 | − | 0.0857727i | −0.00680222 | − | 0.00392726i | ||||
\(478\) | 7.34147 | + | 4.23860i | 0.335791 | + | 0.193869i | ||||
\(479\) | 2.71463 | + | 4.70188i | 0.124035 | + | 0.214835i | 0.921355 | − | 0.388722i | \(-0.127083\pi\) |
−0.797320 | + | 0.603556i | \(0.793750\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.4196 | − | 40.5639i | −1.06784 | − | 1.84956i | ||||
\(482\) | 21.0292i | 0.957853i | ||||||||
\(483\) | − | 29.8706i | − | 1.35916i | ||||||
\(484\) | 1.14239 | + | 1.97868i | 0.0519268 | + | 0.0899399i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.02225 | −0.0463703 | ||||||||
\(487\) | 32.5569i | 1.47529i | 0.675188 | + | 0.737646i | \(0.264063\pi\) | ||||
−0.675188 | + | 0.737646i | \(0.735937\pi\) | |||||||
\(488\) | −1.99914 | + | 1.15420i | −0.0904968 | + | 0.0522483i | ||||
\(489\) | −4.65489 | + | 8.06251i | −0.210501 | + | 0.364599i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −15.3410 | + | 26.5713i | −0.692328 | + | 1.19915i | 0.278746 | + | 0.960365i | \(0.410081\pi\) |
−0.971073 | + | 0.238782i | \(0.923252\pi\) | |||||||
\(492\) | −11.7913 | − | 6.80772i | −0.531594 | − | 0.306916i | ||||
\(493\) | − | 27.2332i | − | 1.22652i | ||||||
\(494\) | −4.21278 | − | 25.9878i | −0.189542 | − | 1.16924i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −5.42082 | + | 9.38914i | −0.243402 | + | 0.421585i | ||||
\(497\) | −6.44518 | − | 3.72113i | −0.289106 | − | 0.166915i | ||||
\(498\) | −8.39620 | + | 4.84755i | −0.376243 | + | 0.217224i | ||||
\(499\) | −4.91213 | + | 8.50807i | −0.219897 | + | 0.380873i | −0.954776 | − | 0.297325i | \(-0.903906\pi\) |
0.734879 | + | 0.678198i | \(0.237239\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 31.3425 | 1.40028 | ||||||||
\(502\) | 27.2366i | 1.21563i | ||||||||
\(503\) | −13.1203 | + | 7.57502i | −0.585006 | + | 0.337754i | −0.763121 | − | 0.646256i | \(-0.776334\pi\) |
0.178114 | + | 0.984010i | \(0.443000\pi\) | |||||||
\(504\) | 0.184179 | + | 0.319008i | 0.00820399 | + | 0.0142097i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 17.0748 | 0.759067 | ||||||||
\(507\) | −34.6369 | + | 19.9976i | −1.53828 | + | 0.888124i | ||||
\(508\) | 2.98488 | + | 1.72332i | 0.132433 | + | 0.0764600i | ||||
\(509\) | −1.12110 | − | 1.94180i | −0.0496919 | − | 0.0860690i | 0.840110 | − | 0.542417i | \(-0.182491\pi\) |
−0.889801 | + | 0.456348i | \(0.849157\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.1999 | + | 29.7912i | −0.760881 | + | 1.31788i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −22.7091 | + | 3.68130i | −1.00263 | + | 0.162533i | ||||
\(514\) | −16.6541 | −0.734581 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.73733 | + | 6.47324i | −0.164527 | + | 0.284969i | ||||
\(517\) | 5.50255 | − | 3.17690i | 0.242002 | − | 0.139720i | ||||
\(518\) | 25.1398 | + | 14.5145i | 1.10458 | + | 0.637730i | ||||
\(519\) | −16.6068 | − | 28.7637i | −0.728956 | − | 1.26259i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.06785 | −0.309648 | −0.154824 | − | 0.987942i | \(-0.549481\pi\) | ||||
−0.154824 | + | 0.987942i | \(0.549481\pi\) | |||||||
\(522\) | 0.566288 | − | 0.326947i | 0.0247858 | − | 0.0143101i | ||||
\(523\) | 30.3057 | − | 17.4970i | 1.32518 | − | 0.765091i | 0.340627 | − | 0.940199i | \(-0.389361\pi\) |
0.984549 | + | 0.175108i | \(0.0560273\pi\) | |||||||
\(524\) | −16.5263 | −0.721955 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.994093 | + | 1.72182i | 0.0433445 | + | 0.0750749i | ||||
\(527\) | 38.4805 | + | 22.2167i | 1.67624 | + | 0.967776i | ||||
\(528\) | 5.37683 | − | 3.10431i | 0.233996 | − | 0.135098i | ||||
\(529\) | −0.526988 | + | 0.912769i | −0.0229125 | + | 0.0396856i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.723113 | 0.0313804 | ||||||||
\(532\) | 10.3142 | + | 12.6429i | 0.447176 | + | 0.548138i | ||||
\(533\) | − | 48.2767i | − | 2.09110i | ||||||
\(534\) | 9.43658 | − | 16.3446i | 0.408361 | − | 0.707302i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 3.37162 | + | 5.83981i | 0.145632 | + | 0.252242i | ||||
\(537\) | −34.7646 | − | 20.0713i | −1.50020 | − | 0.866143i | ||||
\(538\) | −6.18731 | + | 3.57224i | −0.266754 | + | 0.154010i | ||||
\(539\) | −25.5569 | −1.10081 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.4090 | + | 24.9571i | 0.619492 | + | 1.07299i | 0.989579 | + | 0.143994i | \(0.0459946\pi\) |
−0.370087 | + | 0.928997i | \(0.620672\pi\) | |||||||
\(542\) | 9.49060 | − | 5.47940i | 0.407656 | − | 0.235360i | ||||
\(543\) | 26.8030i | 1.15023i | ||||||||
\(544\) | 4.09841 | 0.175718 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 19.2557 | − | 33.3519i | 0.824069 | − | 1.42733i | ||||
\(547\) | 27.7778 | − | 16.0375i | 1.18769 | − | 0.685715i | 0.229912 | − | 0.973211i | \(-0.426156\pi\) |
0.957782 | + | 0.287496i | \(0.0928229\pi\) | |||||||
\(548\) | −19.3227 | − | 11.1560i | −0.825424 | − | 0.476559i | ||||
\(549\) | −0.113581 | + | 0.196728i | −0.00484752 | + | 0.00839615i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 22.4431 | − | 18.3093i | 0.956107 | − | 0.780002i | ||||
\(552\) | − | 7.97988i | − | 0.339646i | ||||||
\(553\) | −19.9593 | − | 11.5235i | −0.848757 | − | 0.490030i | ||||
\(554\) | 6.13429 | − | 10.6249i | 0.260621 | − | 0.451409i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.880992 | − | 1.52592i | 0.0373624 | − | 0.0647135i | ||||
\(557\) | −8.98610 | + | 5.18813i | −0.380753 | + | 0.219828i | −0.678146 | − | 0.734927i | \(-0.737216\pi\) |
0.297393 | + | 0.954755i | \(0.403883\pi\) | |||||||
\(558\) | 1.06689i | 0.0451649i | ||||||||
\(559\) | −26.5032 | −1.12096 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.7227 | − | 22.0364i | −0.537154 | − | 0.930379i | ||||
\(562\) | − | 17.0797i | − | 0.720462i | ||||||
\(563\) | 8.44664i | 0.355984i | 0.984032 | + | 0.177992i | \(0.0569600\pi\) | ||||
−0.984032 | + | 0.177992i | \(0.943040\pi\) | |||||||
\(564\) | −1.48472 | − | 2.57161i | −0.0625180 | − | 0.108284i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −15.0064 | − | 25.9918i | −0.630765 | − | 1.09252i | ||||
\(567\) | −28.1872 | − | 16.2739i | −1.18375 | − | 0.683440i | ||||
\(568\) | −1.72182 | − | 0.994093i | −0.0722460 | − | 0.0417112i | ||||
\(569\) | −1.80181 | −0.0755359 | −0.0377680 | − | 0.999287i | \(-0.512025\pi\) | ||||
−0.0377680 | + | 0.999287i | \(0.512025\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.70574 | 0.113232 | 0.0566158 | − | 0.998396i | \(-0.481969\pi\) | ||||
0.0566158 | + | 0.998396i | \(0.481969\pi\) | |||||||
\(572\) | 19.0648 | + | 11.0071i | 0.797140 | + | 0.460229i | ||||
\(573\) | −9.80241 | − | 5.65942i | −0.409501 | − | 0.236426i | ||||
\(574\) | 14.9600 | + | 25.9114i | 0.624417 | + | 1.08152i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.0492032 | + | 0.0852224i | 0.00205013 | + | 0.00355093i | ||||
\(577\) | − | 6.61544i | − | 0.275404i | −0.990474 | − | 0.137702i | \(-0.956028\pi\) | ||
0.990474 | − | 0.137702i | \(-0.0439717\pi\) | |||||||
\(578\) | 0.203065i | 0.00844640i | ||||||||
\(579\) | −6.81246 | − | 11.7995i | −0.283116 | − | 0.490371i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 21.3050 | 0.883879 | ||||||||
\(582\) | 2.56400i | 0.106281i | ||||||||
\(583\) | 5.50255 | − | 3.17690i | 0.227892 | − | 0.131574i | ||||
\(584\) | −4.59494 | + | 7.95867i | −0.190140 | + | 0.329332i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −11.2339 | + | 19.4576i | −0.464067 | + | 0.803787i | ||||
\(587\) | 12.4961 | + | 7.21463i | 0.515770 | + | 0.297780i | 0.735202 | − | 0.677848i | \(-0.237087\pi\) |
−0.219432 | + | 0.975628i | \(0.570421\pi\) | |||||||
\(588\) | 11.9440i | 0.492561i | ||||||||
\(589\) | 7.56204 | + | 46.6487i | 0.311589 | + | 1.92212i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.410174 | − | 0.710443i | 0.0168723 | − | 0.0292237i | ||||
\(592\) | 6.71607 | + | 3.87752i | 0.276029 | + | 0.159365i | ||||
\(593\) | 17.9652 | − | 10.3722i | 0.737742 | − | 0.425935i | −0.0835060 | − | 0.996507i | \(-0.526612\pi\) |
0.821248 | + | 0.570572i | \(0.193278\pi\) | |||||||
\(594\) | 9.61842 | − | 16.6596i | 0.394649 | − | 0.683552i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.61427 | −0.148046 | ||||||||
\(597\) | − | 39.7893i | − | 1.62847i | ||||||
\(598\) | 24.5038 | − | 14.1473i | 1.00203 | − | 0.578525i | ||||
\(599\) | −9.41389 | − | 16.3053i | −0.384641 | − | 0.666218i | 0.607078 | − | 0.794642i | \(-0.292341\pi\) |
−0.991719 | + | 0.128424i | \(0.959008\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −23.0999 | −0.942263 | −0.471131 | − | 0.882063i | \(-0.656154\pi\) | ||||
−0.471131 | + | 0.882063i | \(0.656154\pi\) | |||||||
\(602\) | 14.2250 | − | 8.21278i | 0.579766 | − | 0.334728i | ||||
\(603\) | 0.574675 | + | 0.331789i | 0.0234026 | + | 0.0135115i | ||||
\(604\) | −9.08556 | − | 15.7367i | −0.369686 | − | 0.640316i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.67285 | + | 11.5577i | −0.271066 | + | 0.469500i | ||||
\(607\) | 28.6025i | 1.16094i | 0.814281 | + | 0.580470i | \(0.197131\pi\) | ||||
−0.814281 | + | 0.580470i | \(0.802869\pi\) | |||||||
\(608\) | 2.75542 | + | 3.37752i | 0.111747 | + | 0.136977i | ||||
\(609\) | 42.3691 | 1.71688 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.26442 | − | 9.11825i | 0.212976 | − | 0.368885i | ||||
\(612\) | 0.349276 | − | 0.201655i | 0.0141186 | − | 0.00815141i | ||||
\(613\) | 6.45202 | + | 3.72507i | 0.260594 | + | 0.150454i | 0.624606 | − | 0.780940i | \(-0.285260\pi\) |
−0.364011 | + | 0.931395i | \(0.618593\pi\) | |||||||
\(614\) | 8.19578 | + | 14.1955i | 0.330755 | + | 0.572884i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.6435 | −0.549710 | ||||||||
\(617\) | 27.1432 | − | 15.6711i | 1.09274 | − | 0.630896i | 0.158438 | − | 0.987369i | \(-0.449354\pi\) |
0.934306 | + | 0.356473i | \(0.116021\pi\) | |||||||
\(618\) | 20.0680 | − | 11.5863i | 0.807252 | − | 0.466067i | ||||
\(619\) | −1.60012 | −0.0643143 | −0.0321572 | − | 0.999483i | \(-0.510238\pi\) | ||||
−0.0321572 | + | 0.999483i | \(0.510238\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −12.3625 | − | 21.4124i | −0.496088 | − | 0.859250i | ||||
\(622\) | 15.6055 | + | 9.00985i | 0.625724 | + | 0.361262i | ||||
\(623\) | −35.9173 | + | 20.7369i | −1.43900 | + | 0.830806i | ||||
\(624\) | 5.14414 | − | 8.90992i | 0.205930 | − | 0.356682i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 18.0104 | 0.719842 | ||||||||
\(627\) | 9.60669 | − | 25.3003i | 0.383654 | − | 1.01040i | ||||
\(628\) | 7.78306i | 0.310578i | ||||||||
\(629\) | 15.8917 | − | 27.5252i | 0.633642 | − | 1.09750i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.44386 | + | 11.1611i | 0.256526 | + | 0.444316i | 0.965309 | − | 0.261111i | \(-0.0840887\pi\) |
−0.708783 | + | 0.705427i | \(0.750755\pi\) | |||||||
\(632\) | −5.33210 | − | 3.07849i | −0.212100 | − | 0.122456i | ||||
\(633\) | −8.60012 | + | 4.96528i | −0.341824 | + | 0.197352i | ||||
\(634\) | −23.2554 | −0.923590 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.48472 | − | 2.57161i | −0.0588730 | − | 0.101971i | ||||
\(637\) | −36.6763 | + | 21.1751i | −1.45317 | + | 0.838987i | ||||
\(638\) | 24.2193i | 0.958850i | ||||||||
\(639\) | −0.195650 | −0.00773980 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.9086 | − | 24.0903i | 0.549355 | − | 0.951511i | −0.448964 | − | 0.893550i | \(-0.648207\pi\) |
0.998319 | − | 0.0579612i | \(-0.0184600\pi\) | |||||||
\(642\) | −10.6929 | + | 6.17353i | −0.422014 | + | 0.243650i | ||||
\(643\) | 14.7275 | + | 8.50292i | 0.580795 | + | 0.335322i | 0.761449 | − | 0.648224i | \(-0.224488\pi\) |
−0.180654 | + | 0.983547i | \(0.557821\pi\) | |||||||
\(644\) | −8.76789 | + | 15.1864i | −0.345503 | + | 0.598429i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 13.8425 | − | 11.2928i | 0.544625 | − | 0.444310i | ||||
\(647\) | − | 42.3379i | − | 1.66447i | −0.554420 | − | 0.832237i | \(-0.687060\pi\) | ||
0.554420 | − | 0.832237i | \(-0.312940\pi\) | |||||||
\(648\) | −7.53017 | − | 4.34755i | −0.295813 | − | 0.170788i | ||||
\(649\) | −13.3915 | + | 23.1948i | −0.525664 | + | 0.910476i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.5645 | + | 59.8675i | −1.35469 | + | 2.34639i | ||||
\(652\) | 4.73317 | − | 2.73270i | 0.185365 | − | 0.107021i | ||||
\(653\) | 48.6365i | 1.90329i | 0.307194 | + | 0.951647i | \(0.400610\pi\) | ||||
−0.307194 | + | 0.951647i | \(0.599390\pi\) | |||||||
\(654\) | 7.64463 | 0.298929 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 3.99653 | + | 6.92220i | 0.156038 | + | 0.270266i | ||||
\(657\) | 0.904342i | 0.0352818i | ||||||||
\(658\) | 6.52534i | 0.254384i | ||||||||
\(659\) | 5.47593 | + | 9.48459i | 0.213312 | + | 0.369467i | 0.952749 | − | 0.303758i | \(-0.0982416\pi\) |
−0.739437 | + | 0.673226i | \(0.764908\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 12.3214 | + | 21.3413i | 0.479246 | + | 0.830079i | 0.999717 | − | 0.0238007i | \(-0.00757670\pi\) |
−0.520470 | + | 0.853880i | \(0.674243\pi\) | |||||||
\(662\) | −6.39403 | − | 3.69159i | −0.248511 | − | 0.143478i | ||||
\(663\) | −36.5165 | − | 21.0828i | −1.41818 | − | 0.818788i | ||||
\(664\) | 5.69159 | 0.220877 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0.763146 | 0.0295713 | ||||||||
\(667\) | 26.9583 | + | 15.5644i | 1.04383 | + | 0.602655i | ||||
\(668\) | −15.9348 | − | 9.19994i | −0.616534 | − | 0.355956i | ||||
\(669\) | 14.2443 | + | 24.6719i | 0.550716 | + | 0.953869i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.20687 | − | 7.28652i | −0.162405 | − | 0.281293i | ||||
\(672\) | 6.37625i | 0.245969i | ||||||||
\(673\) | − | 5.18012i | − | 0.199679i | −0.995004 | − | 0.0998395i | \(-0.968167\pi\) | ||
0.995004 | − | 0.0998395i | \(-0.0318329\pi\) | |||||||
\(674\) | −15.4400 | − | 26.7429i | −0.594728 | − | 1.03010i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.4795 | 0.903059 | ||||||||
\(677\) | − | 45.4548i | − | 1.74697i | −0.486851 | − | 0.873485i | \(-0.661854\pi\) | ||
0.486851 | − | 0.873485i | \(-0.338146\pi\) | |||||||
\(678\) | −19.5926 | + | 11.3118i | −0.752448 | + | 0.434426i | ||||
\(679\) | 2.81720 | − | 4.87953i | 0.108114 | − | 0.187259i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.54467 | + | 6.13955i | −0.135832 | + | 0.235268i | ||||
\(682\) | −34.2218 | − | 19.7580i | −1.31042 | − | 0.756572i | ||||
\(683\) | − | 3.24495i | − | 0.124165i | −0.998071 | − | 0.0620823i | \(-0.980226\pi\) | ||
0.998071 | − | 0.0620823i | \(-0.0197741\pi\) | |||||||
\(684\) | 0.401008 | + | 0.152265i | 0.0153329 | + | 0.00582201i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.0221096 | − | 0.0382949i | 0.000844147 | − | 0.00146211i | ||||
\(687\) | −8.11103 | − | 4.68291i | −0.309455 | − | 0.178664i | ||||
\(688\) | 3.80018 | − | 2.19403i | 0.144880 | − | 0.0836467i | ||||
\(689\) | 5.26442 | − | 9.11825i | 0.200559 | − | 0.347378i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.0806 | 1.67691 | 0.838453 | − | 0.544974i | \(-0.183461\pi\) | ||||
0.838453 | + | 0.544974i | \(0.183461\pi\) | |||||||
\(692\) | 19.4983i | 0.741214i | ||||||||
\(693\) | −1.16273 | + | 0.671301i | −0.0441684 | + | 0.0255006i | ||||
\(694\) | −4.55974 | − | 7.89771i | −0.173086 | − | 0.299793i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 11.3188 | 0.429040 | ||||||||
\(697\) | 28.3700 | − | 16.3794i | 1.07459 | − | 0.620415i | ||||
\(698\) | −12.3415 | − | 7.12539i | −0.467134 | − | 0.269700i | ||||
\(699\) | −11.2380 | − | 19.4648i | −0.425061 | − | 0.736227i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −25.7667 | + | 44.6292i | −0.973193 | + | 1.68562i | −0.287420 | + | 0.957805i | \(0.592797\pi\) |
−0.685773 | + | 0.727815i | \(0.740536\pi\) | |||||||
\(702\) | − | 31.8773i | − | 1.20313i | ||||||
\(703\) | 33.3679 | − | 5.40915i | 1.25849 | − | 0.204010i | ||||
\(704\) | −3.64483 | −0.137370 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.88806 | + | 6.73433i | −0.146329 | + | 0.253450i | ||||
\(707\) | 25.3981 | − | 14.6636i | 0.955192 | − | 0.551481i | ||||
\(708\) | 10.8401 | + | 6.25852i | 0.407395 | + | 0.235209i | ||||
\(709\) | 4.42556 | + | 7.66530i | 0.166205 | + | 0.287876i | 0.937083 | − | 0.349107i | \(-0.113515\pi\) |
−0.770877 | + | 0.636984i | \(0.780182\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.605886 | −0.0227225 | ||||||||
\(712\) | −9.59527 | + | 5.53983i | −0.359598 | + | 0.207614i | ||||
\(713\) | −43.9849 | + | 25.3947i | −1.64725 | + | 0.951039i | ||||
\(714\) | 26.1325 | 0.977983 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 11.7831 | + | 20.4089i | 0.440354 | + | 0.762715i | ||||
\(717\) | 12.5055 | + | 7.22006i | 0.467027 | + | 0.269638i | ||||
\(718\) | −5.03052 | + | 2.90437i | −0.187737 | + | 0.108390i | ||||
\(719\) | 23.5785 | − | 40.8392i | 0.879331 | − | 1.52305i | 0.0272540 | − | 0.999629i | \(-0.491324\pi\) |
0.852077 | − | 0.523417i | \(-0.175343\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −50.9216 | −1.89642 | ||||||||
\(722\) | 18.6130 | + | 3.81534i | 0.692704 | + | 0.141992i | ||||
\(723\) | 35.8213i | 1.33221i | ||||||||
\(724\) | 7.86746 | − | 13.6268i | 0.292392 | − | 0.506438i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 1.94595 | + | 3.37049i | 0.0722212 | + | 0.125091i | ||||
\(727\) | −11.2960 | − | 6.52177i | −0.418947 | − | 0.241879i | 0.275680 | − | 0.961250i | \(-0.411097\pi\) |
−0.694627 | + | 0.719371i | \(0.744430\pi\) | |||||||
\(728\) | −19.5795 | + | 11.3043i | −0.725666 | + | 0.418963i | ||||
\(729\) | −27.8266 | −1.03061 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.99204 | − | 15.5747i | −0.332582 | − | 0.576050i | ||||
\(732\) | −3.40535 | + | 1.96608i | −0.125865 | + | 0.0726683i | ||||
\(733\) | − | 13.9861i | − | 0.516590i | −0.966066 | − | 0.258295i | \(-0.916839\pi\) | ||
0.966066 | − | 0.258295i | \(-0.0831606\pi\) | |||||||
\(734\) | −22.2827 | −0.822470 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.34233 | + | 4.05703i | −0.0863394 | + | 0.149544i | ||||
\(737\) | −21.2851 | + | 12.2890i | −0.784048 | + | 0.452670i | ||||
\(738\) | 0.681188 | + | 0.393284i | 0.0250749 | + | 0.0144770i | ||||
\(739\) | 0.534508 | − | 0.925795i | 0.0196622 | − | 0.0340559i | −0.856027 | − | 0.516931i | \(-0.827074\pi\) |
0.875689 | + | 0.482875i | \(0.160408\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.17608 | − | 44.2677i | −0.263620 | − | 1.62622i | ||||
\(742\) | 6.52534i | 0.239553i | ||||||||
\(743\) | −8.67048 | − | 5.00591i | −0.318089 | − | 0.183649i | 0.332451 | − | 0.943120i | \(-0.392124\pi\) |
−0.650541 | + | 0.759472i | \(0.725458\pi\) | |||||||
\(744\) | −9.23386 | + | 15.9935i | −0.338530 | + | 0.586351i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 8.53046 | − | 14.7752i | 0.312322 | − | 0.540958i | ||||
\(747\) | 0.485051 | − | 0.280045i | 0.0177471 | − | 0.0102463i | ||||
\(748\) | 14.9380i | 0.546187i | ||||||||
\(749\) | 27.1327 | 0.991406 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.3070 | − | 29.9767i | −0.631543 | − | 1.09386i | −0.987236 | − | 0.159261i | \(-0.949089\pi\) |
0.355694 | − | 0.934603i | \(-0.384245\pi\) | |||||||
\(752\) | 1.74324i | 0.0635693i | ||||||||
\(753\) | 46.3951i | 1.69073i | ||||||||
\(754\) | 20.0668 | + | 34.7567i | 0.730790 | + | 1.26577i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 9.87811 | + | 17.1094i | 0.359263 | + | 0.622262i | ||||
\(757\) | −2.90364 | − | 1.67642i | −0.105535 | − | 0.0609305i | 0.446304 | − | 0.894882i | \(-0.352740\pi\) |
−0.551838 | + | 0.833951i | \(0.686073\pi\) | |||||||
\(758\) | −8.68874 | − | 5.01645i | −0.315589 | − | 0.182206i | ||||
\(759\) | 29.0853 | 1.05573 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 27.5087 | 0.997190 | 0.498595 | − | 0.866835i | \(-0.333849\pi\) | ||||
0.498595 | + | 0.866835i | \(0.333849\pi\) | |||||||
\(762\) | 5.08446 | + | 2.93552i | 0.184191 | + | 0.106343i | ||||
\(763\) | −14.5484 | − | 8.39953i | −0.526688 | − | 0.304083i | ||||
\(764\) | 3.32241 | + | 5.75459i | 0.120201 | + | 0.208194i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.994093 | + | 1.72182i | 0.0359181 | + | 0.0622119i | ||||
\(767\) | 44.3821i | 1.60254i | ||||||||
\(768\) | 1.70341i | 0.0614664i | ||||||||
\(769\) | −17.1306 | − | 29.6711i | −0.617746 | − | 1.06997i | −0.989896 | − | 0.141795i | \(-0.954713\pi\) |
0.372150 | − | 0.928172i | \(-0.378621\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −28.3687 | −1.02167 | ||||||||
\(772\) | 7.99863i | 0.287877i | ||||||||
\(773\) | 10.3608 | − | 5.98184i | 0.372654 | − | 0.215152i | −0.301963 | − | 0.953320i | \(-0.597642\pi\) |
0.674617 | + | 0.738168i | \(0.264309\pi\) | |||||||
\(774\) | 0.215907 | − | 0.373961i | 0.00776061 | − | 0.0134418i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.752610 | − | 1.30356i | 0.0270171 | − | 0.0467950i | ||||
\(777\) | 42.8233 | + | 24.7241i | 1.53628 | + | 0.886971i | ||||
\(778\) | − | 8.87708i | − | 0.318259i | ||||||
\(779\) | 32.5719 | + | 12.3678i | 1.16701 | + | 0.443121i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 3.62330 | − | 6.27574i | 0.129652 | − | 0.224564i | ||||
\(782\) | 16.6274 | + | 9.59982i | 0.594594 | + | 0.343289i | ||||
\(783\) | 30.3718 | − | 17.5352i | 1.08540 | − | 0.626657i | ||||
\(784\) | 3.50591 | − | 6.07241i | 0.125211 | − | 0.216872i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −28.1510 | −1.00411 | ||||||||
\(787\) | 32.2277i | 1.14879i | 0.818578 | + | 0.574396i | \(0.194763\pi\) | ||||
−0.818578 | + | 0.574396i | \(0.805237\pi\) | |||||||
\(788\) | −0.417072 | + | 0.240797i | −0.0148576 | + | 0.00857802i | ||||
\(789\) | 1.69335 | + | 2.93296i | 0.0602847 | + | 0.104416i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 49.7152 | 1.76767 | ||||||||
\(792\) | −0.310621 | + | 0.179337i | −0.0110374 | + | 0.00637247i | ||||
\(793\) | −12.0745 | − | 6.97119i | −0.428777 | − | 0.247554i | ||||
\(794\) | 10.5563 | + | 18.2840i | 0.374628 | + | 0.648875i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.6793 | + | 20.2292i | −0.413963 | + | 0.717005i | ||||
\(797\) | 39.9120i | 1.41376i | 0.707335 | + | 0.706878i | \(0.249897\pi\) | ||||
−0.707335 | + | 0.706878i | \(0.750103\pi\) | |||||||
\(798\) | 17.5692 | + | 21.5359i | 0.621944 | + | 0.762364i | ||||
\(799\) | 7.14449 | 0.252754 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −0.545154 | + | 0.944235i | −0.0192621 | + | 0.0333629i | ||||
\(802\) | 25.9471 | − | 14.9806i | 0.916224 | − | 0.528982i | ||||
\(803\) | −29.0080 | − | 16.7478i | −1.02367 | − | 0.591016i | ||||
\(804\) | 5.74324 | + | 9.94758i | 0.202548 | + | 0.350824i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −65.4817 | −2.30649 | ||||||||
\(807\) | −10.5395 | + | 6.08498i | −0.371008 | + | 0.214202i | ||||
\(808\) | 6.78506 | − | 3.91735i | 0.238697 | − | 0.137812i | ||||
\(809\) | 22.1075 | 0.777257 | 0.388629 | − | 0.921394i | \(-0.372949\pi\) | ||||
0.388629 | + | 0.921394i | \(0.372949\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.5035 | − | 18.1925i | −0.368827 | − | 0.638826i | 0.620556 | − | 0.784162i | \(-0.286907\pi\) |
−0.989382 | + | 0.145336i | \(0.953574\pi\) | |||||||
\(812\) | −21.5408 | − | 12.4366i | −0.755934 | − | 0.436438i | ||||
\(813\) | 16.1663 | − | 9.33364i | 0.566978 | − | 0.327345i | ||||
\(814\) | −14.1329 | + | 24.4789i | −0.495358 | + | 0.857986i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6.98125 | 0.244393 | ||||||||
\(817\) | 6.78971 | − | 17.8815i | 0.237542 | − | 0.625593i | ||||
\(818\) | 4.19544i | 0.146690i | ||||||||
\(819\) | −1.11241 | + | 1.92675i | −0.0388708 | + | 0.0673261i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −19.1593 | − | 33.1849i | −0.668665 | − | 1.15816i | −0.978278 | − | 0.207299i | \(-0.933533\pi\) |
0.309613 | − | 0.950863i | \(-0.399801\pi\) | |||||||
\(822\) | −32.9144 | − | 19.0031i | −1.14802 | − | 0.662810i | ||||
\(823\) | −46.3479 | + | 26.7590i | −1.61559 | + | 0.932760i | −0.627545 | + | 0.778580i | \(0.715940\pi\) |
−0.988043 | + | 0.154179i | \(0.950727\pi\) | |||||||
\(824\) | −13.6036 | −0.473905 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.7531 | − | 23.8210i | −0.478531 | − | 0.828840i | ||||
\(827\) | 18.0843 | − | 10.4410i | 0.628853 | − | 0.363068i | −0.151455 | − | 0.988464i | \(-0.548396\pi\) |
0.780308 | + | 0.625396i | \(0.215062\pi\) | |||||||
\(828\) | 0.461000i | 0.0160209i | ||||||||
\(829\) | 57.1594 | 1.98523 | 0.992614 | − | 0.121317i | \(-0.0387117\pi\) | ||||
0.992614 | + | 0.121317i | \(0.0387117\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 10.4492 | − | 18.0985i | 0.362478 | − | 0.627831i | ||||
\(832\) | −5.23065 | + | 3.01991i | −0.181340 | + | 0.104697i | ||||
\(833\) | −24.8872 | − | 14.3686i | −0.862290 | − | 0.497844i | ||||
\(834\) | 1.50069 | − | 2.59927i | 0.0519645 | − | 0.0900052i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −12.3105 | + | 10.0430i | −0.425768 | + | 0.347345i | ||||
\(837\) | 57.2205i | 1.97783i | ||||||||
\(838\) | 10.8535 | + | 6.26628i | 0.374928 | + | 0.216465i | ||||
\(839\) | −12.4778 | + | 21.6122i | −0.430781 | + | 0.746135i | −0.996941 | − | 0.0781610i | \(-0.975095\pi\) |
0.566160 | + | 0.824296i | \(0.308429\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.57688 | + | 13.1235i | −0.261272 | + | 0.452536i | ||||
\(842\) | −23.0160 | + | 13.2883i | −0.793183 | + | 0.457945i | ||||
\(843\) | − | 29.0936i | − | 1.00204i | ||||||
\(844\) | 5.82983 | 0.200671 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.0857727 | + | 0.148563i | 0.00294893 | + | 0.00510769i | ||||
\(847\) | − | 8.55247i | − | 0.293866i | ||||||
\(848\) | 1.74324i | 0.0598630i | ||||||||
\(849\) | −25.5620 | − | 44.2746i | −0.877285 | − | 1.51950i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.1649 | + | 31.4625i | 0.622684 | + | 1.07852i | ||||
\(852\) | −2.93296 | − | 1.69335i | −0.100482 | − | 0.0580131i | ||||
\(853\) | 23.9672 | + | 13.8375i | 0.820622 | + | 0.473787i | 0.850631 | − | 0.525763i | \(-0.176220\pi\) |
−0.0300087 | + | 0.999550i | \(0.509553\pi\) | |||||||
\(854\) | 8.64091 | 0.295686 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.24845 | 0.247747 | ||||||||
\(857\) | −18.1865 | − | 10.5000i | −0.621240 | − | 0.358673i | 0.156112 | − | 0.987739i | \(-0.450104\pi\) |
−0.777352 | + | 0.629066i | \(0.783437\pi\) | |||||||
\(858\) | 32.4751 | + | 18.7495i | 1.10868 | + | 0.640098i | ||||
\(859\) | 11.0617 | + | 19.1594i | 0.377420 | + | 0.653711i | 0.990686 | − | 0.136165i | \(-0.0434778\pi\) |
−0.613266 | + | 0.789877i | \(0.710144\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 25.4829 | + | 44.1377i | 0.868455 | + | 1.50421i | ||||
\(862\) | − | 0.180610i | − | 0.00615159i | ||||||
\(863\) | 31.1716i | 1.06109i | 0.847655 | + | 0.530547i | \(0.178013\pi\) | ||||
−0.847655 | + | 0.530547i | \(0.821987\pi\) | |||||||
\(864\) | 2.63892 | + | 4.57075i | 0.0897780 | + | 0.155500i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 12.0104 | 0.408131 | ||||||||
\(867\) | 0.345903i | 0.0117475i | ||||||||
\(868\) | 35.1458 | − | 20.2914i | 1.19292 | − | 0.688735i | ||||
\(869\) | 11.2206 | − | 19.4346i | 0.380632 | − | 0.659274i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −20.3640 | + | 35.2715i | −0.690008 | + | 1.19513i | ||||
\(872\) | −3.88659 | − | 2.24392i | −0.131616 | − | 0.0759888i | ||||
\(873\) | − | 0.148123i | − | 0.00501321i | ||||||
\(874\) | 3.26755 | + | 20.1568i | 0.110526 | + | 0.681815i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −7.82705 | + | 13.5568i | −0.264451 | + | 0.458043i | ||||
\(877\) | 17.8946 | + | 10.3314i | 0.604257 | + | 0.348868i | 0.770715 | − | 0.637180i | \(-0.219899\pi\) |
−0.166457 | + | 0.986049i | \(0.553233\pi\) | |||||||
\(878\) | 24.6893 | − | 14.2544i | 0.833223 | − | 0.481061i | ||||
\(879\) | −19.1358 | + | 33.1442i | −0.645436 | + | 1.11793i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 35.5613 | 1.19809 | 0.599045 | − | 0.800716i | \(-0.295547\pi\) | ||||
0.599045 | + | 0.800716i | \(0.295547\pi\) | |||||||
\(882\) | − | 0.690007i | − | 0.0232337i | ||||||
\(883\) | 15.6551 | − | 9.03845i | 0.526835 | − | 0.304168i | −0.212892 | − | 0.977076i | \(-0.568288\pi\) |
0.739727 | + | 0.672908i | \(0.234955\pi\) | |||||||
\(884\) | 12.3768 | + | 21.4373i | 0.416278 | + | 0.721015i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.54642 | −0.287123 | ||||||||
\(887\) | −40.7620 | + | 23.5340i | −1.36865 | + | 0.790193i | −0.990756 | − | 0.135654i | \(-0.956686\pi\) |
−0.377898 | + | 0.925847i | \(0.623353\pi\) | |||||||
\(888\) | 11.4402 | + | 6.60500i | 0.383908 | + | 0.221649i | ||||
\(889\) | −6.45080 | − | 11.1731i | −0.216353 | − | 0.374734i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 15.8461 | − | 27.4462i | 0.530863 | − | 0.919482i | ||||
\(892\) | − | 16.7245i | − | 0.559977i | ||||||
\(893\) | 4.80334 | + | 5.88782i | 0.160738 | + | 0.197028i | ||||
\(894\) | −6.15657 | −0.205906 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 1.87162 | − | 3.24174i | 0.0625264 | − | 0.108299i | ||||
\(897\) | 41.7399 | − | 24.0985i | 1.39366 | − | 0.804627i | ||||
\(898\) | −3.67725 | − | 2.12306i | −0.122711 | − | 0.0708475i | ||||
\(899\) | −36.0204 | − | 62.3892i | −1.20135 | − | 2.08080i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.14449 | 0.238017 | ||||||||
\(902\) | −25.2302 | + | 14.5667i | −0.840075 | + | 0.485017i | ||||
\(903\) | 24.2309 | − | 13.9897i | 0.806353 | − | 0.465548i | ||||
\(904\) | 13.2813 | 0.441731 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −15.4764 | − | 26.8059i | −0.514169 | − | 0.890567i | ||||
\(907\) | 17.3869 | + | 10.0383i | 0.577322 | + | 0.333317i | 0.760068 | − | 0.649843i | \(-0.225165\pi\) |
−0.182746 | + | 0.983160i | \(0.558499\pi\) | |||||||
\(908\) | 3.60428 | − | 2.08093i | 0.119612 | − | 0.0690581i | ||||
\(909\) | 0.385493 | − | 0.667693i | 0.0127860 | − | 0.0221460i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −29.6273 | −0.981595 | −0.490797 | − | 0.871274i | \(-0.663294\pi\) | ||||
−0.490797 | + | 0.871274i | \(0.663294\pi\) | |||||||
\(912\) | 4.69360 | + | 5.75330i | 0.155421 | + | 0.190511i | ||||
\(913\) | 20.7449i | 0.686556i | ||||||||
\(914\) | −9.11022 | + | 15.7794i | −0.301339 | + | 0.521935i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.74914 | + | 4.76165i | 0.0908342 | + | 0.157329i | ||||
\(917\) | 53.5739 | + | 30.9309i | 1.76917 | + | 1.02143i | ||||
\(918\) | 18.7328 | − | 10.8154i | 0.618274 | − | 0.356961i | ||||
\(919\) | 55.4525 | 1.82921 | 0.914604 | − | 0.404350i | \(-0.132502\pi\) | ||||
0.914604 | + | 0.404350i | \(0.132502\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.9608 | + | 24.1807i | 0.460022 | + | 0.796782i | ||||
\(922\) | 26.0050 | − | 15.0140i | 0.856430 | − | 0.494460i | ||||
\(923\) | − | 12.0083i | − | 0.395258i | ||||||
\(924\) | −23.2403 | −0.764551 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −5.08278 | + | 8.80364i | −0.167031 | + | 0.289306i | ||||
\(927\) | −1.15933 | + | 0.669342i | −0.0380775 | + | 0.0219841i | ||||
\(928\) | −5.75459 | − | 3.32241i | −0.188904 | − | 0.109064i | ||||
\(929\) | 3.61925 | − | 6.26873i | 0.118744 | − | 0.205670i | −0.800526 | − | 0.599298i | \(-0.795447\pi\) |
0.919270 | + | 0.393627i | \(0.128780\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −4.89074 | − | 30.1699i | −0.160288 | − | 0.988780i | ||||
\(932\) | 13.1948i | 0.432209i | ||||||||
\(933\) | 26.5826 | + | 15.3474i | 0.870274 | + | 0.502453i | ||||
\(934\) | 6.80645 | − | 11.7891i | 0.222714 | − | 0.385752i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.297179 | + | 0.514729i | −0.00971359 | + | 0.0168244i | ||||
\(937\) | −32.5974 | + | 18.8201i | −1.06491 | + | 0.614826i | −0.926786 | − | 0.375589i | \(-0.877441\pi\) |
−0.138124 | + | 0.990415i | \(0.544107\pi\) | |||||||
\(938\) | − | 25.2415i | − | 0.824165i | ||||||
\(939\) | 30.6791 | 1.00117 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.9631 | + | 22.4527i | 0.422585 | + | 0.731938i | 0.996191 | − | 0.0871927i | \(-0.0277896\pi\) |
−0.573607 | + | 0.819131i | \(0.694456\pi\) | |||||||
\(942\) | 13.2577i | 0.431960i | ||||||||
\(943\) | 37.4448i | 1.21937i | ||||||||
\(944\) | −3.67412 | − | 6.36376i | −0.119582 | − | 0.207123i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 7.99687 | + | 13.8510i | 0.260001 | + | 0.450335i | ||||
\(947\) | −35.5953 | − | 20.5510i | −1.15669 | − | 0.667816i | −0.206183 | − | 0.978513i | \(-0.566104\pi\) |
−0.950509 | + | 0.310697i | \(0.899437\pi\) | |||||||
\(948\) | −9.08274 | − | 5.24392i | −0.294994 | − | 0.170315i | ||||
\(949\) | −55.5053 | −1.80178 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −39.6134 | −1.28455 | ||||||||
\(952\) | −13.2860 | − | 7.67065i | −0.430600 | − | 0.248607i | ||||
\(953\) | −11.8400 | − | 6.83584i | −0.383536 | − | 0.221435i | 0.295820 | − | 0.955244i | \(-0.404407\pi\) |
−0.679356 | + | 0.733809i | \(0.737741\pi\) | |||||||
\(954\) | 0.0857727 | + | 0.148563i | 0.00277700 | + | 0.00480990i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −4.23860 | − | 7.34147i | −0.137086 | − | 0.237440i | ||||
\(957\) | 41.2553i | 1.33359i | ||||||||
\(958\) | − | 5.42927i | − | 0.175412i | ||||||
\(959\) | 41.7594 | + | 72.3293i | 1.34848 | + | 2.33564i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 86.5412 | 2.79165 | ||||||||
\(962\) | 46.8392i | 1.51016i | ||||||||
\(963\) | 0.617731 | − | 0.356647i | 0.0199061 | − | 0.0114928i | ||||
\(964\) | 10.5146 | − | 18.2118i | 0.338652 | − | 0.586563i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −14.9353 | + | 25.8687i | −0.480535 | + | 0.832311i | ||||
\(967\) | −41.1289 | − | 23.7458i | −1.32262 | − | 0.763614i | −0.338472 | − | 0.940976i | \(-0.609910\pi\) |
−0.984146 | + | 0.177363i | \(0.943243\pi\) | |||||||
\(968\) | − | 2.28478i | − | 0.0734356i | ||||||
\(969\) | 23.5793 | − | 19.2363i | 0.757478 | − | 0.617958i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.83017 | + | 8.36611i | −0.155008 | + | 0.268481i | −0.933062 | − | 0.359716i | \(-0.882874\pi\) |
0.778054 | + | 0.628197i | \(0.216207\pi\) | |||||||
\(972\) | 0.885296 | + | 0.511126i | 0.0283959 | + | 0.0163944i | ||||
\(973\) | −5.71189 | + | 3.29776i | −0.183115 | + | 0.105721i | ||||
\(974\) | 16.2784 | − | 28.1951i | 0.521595 | − | 0.903428i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.30841 | 0.0738903 | ||||||||
\(977\) | 38.8232i | 1.24206i | 0.783786 | + | 0.621032i | \(0.213286\pi\) | ||||
−0.783786 | + | 0.621032i | \(0.786714\pi\) | |||||||
\(978\) | 8.06251 | − | 4.65489i | 0.257811 | − | 0.148847i | ||||
\(979\) | −20.1917 | − | 34.9731i | −0.645331 | − | 1.11775i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.441633 | −0.0141002 | ||||||||
\(982\) | 26.5713 | − | 15.3410i | 0.847925 | − | 0.489550i | ||||
\(983\) | 41.2505 | + | 23.8160i | 1.31569 | + | 0.759611i | 0.983031 | − | 0.183438i | \(-0.0587226\pi\) |
0.332654 | + | 0.943049i | \(0.392056\pi\) | |||||||
\(984\) | 6.80772 | + | 11.7913i | 0.217022 | + | 0.375893i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −13.6166 | + | 23.5847i | −0.433641 | + | 0.751088i | ||||
\(987\) | 11.1153i | 0.353804i | ||||||||
\(988\) | −9.34551 | + | 24.6125i | −0.297320 | + | 0.783026i | ||||
\(989\) | 20.5566 | 0.653661 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.04886 | − | 5.28078i | 0.0968503 | − | 0.167750i | −0.813529 | − | 0.581524i | \(-0.802457\pi\) |
0.910379 | + | 0.413775i | \(0.135790\pi\) | |||||||
\(992\) | 9.38914 | − | 5.42082i | 0.298105 | − | 0.172111i | ||||
\(993\) | −10.8916 | − | 6.28828i | −0.345635 | − | 0.199553i | ||||
\(994\) | 3.72113 | + | 6.44518i | 0.118027 | + | 0.204429i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 9.69510 | 0.307201 | ||||||||
\(997\) | −16.0170 | + | 9.24743i | −0.507264 | + | 0.292869i | −0.731708 | − | 0.681618i | \(-0.761277\pi\) |
0.224444 | + | 0.974487i | \(0.427943\pi\) | |||||||
\(998\) | 8.50807 | − | 4.91213i | 0.269318 | − | 0.155491i | ||||
\(999\) | 40.9299 | 1.29497 |
(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.j.i.49.2 | 16 | ||
5.2 | odd | 4 | 950.2.e.m.201.2 | yes | 8 | ||
5.3 | odd | 4 | 950.2.e.l.201.3 | ✓ | 8 | ||
5.4 | even | 2 | inner | 950.2.j.i.49.7 | 16 | ||
19.7 | even | 3 | inner | 950.2.j.i.349.7 | 16 | ||
95.7 | odd | 12 | 950.2.e.m.501.2 | yes | 8 | ||
95.64 | even | 6 | inner | 950.2.j.i.349.2 | 16 | ||
95.83 | odd | 12 | 950.2.e.l.501.3 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.e.l.201.3 | ✓ | 8 | 5.3 | odd | 4 | ||
950.2.e.l.501.3 | yes | 8 | 95.83 | odd | 12 | ||
950.2.e.m.201.2 | yes | 8 | 5.2 | odd | 4 | ||
950.2.e.m.501.2 | yes | 8 | 95.7 | odd | 12 | ||
950.2.j.i.49.2 | 16 | 1.1 | even | 1 | trivial | ||
950.2.j.i.49.7 | 16 | 5.4 | even | 2 | inner | ||
950.2.j.i.349.2 | 16 | 95.64 | even | 6 | inner | ||
950.2.j.i.349.7 | 16 | 19.7 | even | 3 | inner |