Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(139,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bi (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 139.23 | ||
Character | \(\chi\) | \(=\) | 252.139 |
Dual form | 252.2.bi.c.223.23 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.294095 | + | 1.38330i | 0.207956 | + | 0.978138i | ||||
\(3\) | −1.10533 | − | 1.33351i | −0.638160 | − | 0.769904i | ||||
\(4\) | −1.82702 | + | 0.813640i | −0.913508 | + | 0.406820i | ||||
\(5\) | −0.416111 | − | 0.240242i | −0.186091 | − | 0.107439i | 0.404061 | − | 0.914732i | \(-0.367598\pi\) |
−0.590151 | + | 0.807293i | \(0.700932\pi\) | |||||||
\(6\) | 1.51957 | − | 1.92117i | 0.620363 | − | 0.784315i | ||||
\(7\) | −1.52257 | + | 2.16374i | −0.575477 | + | 0.817818i | ||||
\(8\) | −1.66282 | − | 2.28802i | −0.587896 | − | 0.808937i | ||||
\(9\) | −0.556509 | + | 2.94793i | −0.185503 | + | 0.982644i | ||||
\(10\) | 0.209950 | − | 0.646259i | 0.0663919 | − | 0.204365i | ||||
\(11\) | −2.31311 | + | 1.33548i | −0.697429 | + | 0.402661i | −0.806389 | − | 0.591385i | \(-0.798581\pi\) |
0.108960 | + | 0.994046i | \(0.465248\pi\) | |||||||
\(12\) | 3.10445 | + | 1.53701i | 0.896177 | + | 0.443697i | ||||
\(13\) | −5.48694 | − | 3.16789i | −1.52180 | − | 0.878614i | −0.999668 | − | 0.0257515i | \(-0.991802\pi\) |
−0.522136 | − | 0.852862i | \(-0.674865\pi\) | |||||||
\(14\) | −3.44088 | − | 1.46982i | −0.919613 | − | 0.392826i | ||||
\(15\) | 0.139573 | + | 0.820435i | 0.0360376 | + | 0.211835i | ||||
\(16\) | 2.67598 | − | 2.97307i | 0.668995 | − | 0.743267i | ||||
\(17\) | 2.37005i | 0.574821i | 0.957808 | + | 0.287410i | \(0.0927944\pi\) | ||||
−0.957808 | + | 0.287410i | \(0.907206\pi\) | |||||||
\(18\) | −4.24153 | + | 0.0971545i | −0.999738 | + | 0.0228995i | ||||
\(19\) | −4.20225 | −0.964062 | −0.482031 | − | 0.876154i | \(-0.660101\pi\) | ||||
−0.482031 | + | 0.876154i | \(0.660101\pi\) | |||||||
\(20\) | 0.955712 | + | 0.100361i | 0.213704 | + | 0.0224414i | ||||
\(21\) | 4.56831 | − | 0.361276i | 0.996888 | − | 0.0788369i | ||||
\(22\) | −2.52763 | − | 2.80696i | −0.538893 | − | 0.598446i | ||||
\(23\) | 4.15320 | + | 2.39785i | 0.866001 | + | 0.499986i | 0.866017 | − | 0.500014i | \(-0.166672\pi\) |
−1.59909e−5 | 1.00000i | \(0.500005\pi\) | ||||||||
\(24\) | −1.21314 | + | 4.74640i | −0.247631 | + | 0.968854i | ||||
\(25\) | −2.38457 | − | 4.13019i | −0.476914 | − | 0.826038i | ||||
\(26\) | 2.76845 | − | 8.52173i | 0.542937 | − | 1.67125i | ||||
\(27\) | 4.54623 | − | 2.51631i | 0.874921 | − | 0.484265i | ||||
\(28\) | 1.02125 | − | 5.19202i | 0.192999 | − | 0.981199i | ||||
\(29\) | 1.45060 | + | 2.51250i | 0.269369 | + | 0.466560i | 0.968699 | − | 0.248238i | \(-0.0798516\pi\) |
−0.699330 | + | 0.714799i | \(0.746518\pi\) | |||||||
\(30\) | −1.09386 | + | 0.434356i | −0.199710 | + | 0.0793022i | ||||
\(31\) | −3.14399 | + | 5.44556i | −0.564678 | + | 0.978051i | 0.432402 | + | 0.901681i | \(0.357666\pi\) |
−0.997080 | + | 0.0763698i | \(0.975667\pi\) | |||||||
\(32\) | 4.89962 | + | 2.82731i | 0.866139 | + | 0.499802i | ||||
\(33\) | 4.33762 | + | 1.60843i | 0.755082 | + | 0.279991i | ||||
\(34\) | −3.27848 | + | 0.697018i | −0.562254 | + | 0.119538i | ||||
\(35\) | 1.15338 | − | 0.534572i | 0.194957 | − | 0.0903592i | ||||
\(36\) | −1.38180 | − | 5.83872i | −0.230301 | − | 0.973120i | ||||
\(37\) | 4.69467 | 0.771799 | 0.385900 | − | 0.922541i | \(-0.373891\pi\) | ||||
0.385900 | + | 0.922541i | \(0.373891\pi\) | |||||||
\(38\) | −1.23586 | − | 5.81295i | −0.200483 | − | 0.942986i | ||||
\(39\) | 1.84044 | + | 10.8185i | 0.294707 | + | 1.73234i | ||||
\(40\) | 0.142241 | + | 1.35155i | 0.0224902 | + | 0.213699i | ||||
\(41\) | 10.1295 | + | 5.84827i | 1.58196 | + | 0.913347i | 0.994573 | + | 0.104043i | \(0.0331779\pi\) |
0.587390 | + | 0.809304i | \(0.300155\pi\) | |||||||
\(42\) | 1.84327 | + | 6.21308i | 0.284422 | + | 0.958699i | ||||
\(43\) | 1.16280 | − | 0.671344i | 0.177326 | − | 0.102379i | −0.408710 | − | 0.912664i | \(-0.634021\pi\) |
0.586036 | + | 0.810285i | \(0.300688\pi\) | |||||||
\(44\) | 3.13950 | − | 4.32198i | 0.473297 | − | 0.651562i | ||||
\(45\) | 0.939786 | − | 1.09297i | 0.140095 | − | 0.162930i | ||||
\(46\) | −2.09550 | + | 6.45030i | −0.308965 | + | 0.951044i | ||||
\(47\) | −3.72876 | − | 6.45840i | −0.543895 | − | 0.942054i | −0.998676 | − | 0.0514505i | \(-0.983616\pi\) |
0.454780 | − | 0.890604i | \(-0.349718\pi\) | |||||||
\(48\) | −6.92245 | − | 0.282242i | −0.999170 | − | 0.0407381i | ||||
\(49\) | −2.36356 | − | 6.58890i | −0.337652 | − | 0.941271i | ||||
\(50\) | 5.01199 | − | 4.51323i | 0.708803 | − | 0.638267i | ||||
\(51\) | 3.16049 | − | 2.61967i | 0.442557 | − | 0.366828i | ||||
\(52\) | 12.6023 | + | 1.32339i | 1.74762 | + | 0.183521i | ||||
\(53\) | −8.99689 | −1.23582 | −0.617909 | − | 0.786250i | \(-0.712020\pi\) | ||||
−0.617909 | + | 0.786250i | \(0.712020\pi\) | |||||||
\(54\) | 4.81783 | + | 5.54874i | 0.655623 | + | 0.755088i | ||||
\(55\) | 1.28335 | 0.173047 | ||||||||
\(56\) | 7.48244 | − | 0.114250i | 0.999883 | − | 0.0152673i | ||||
\(57\) | 4.64485 | + | 5.60375i | 0.615226 | + | 0.742235i | ||||
\(58\) | −3.04893 | + | 2.74552i | −0.400344 | + | 0.360504i | ||||
\(59\) | 0.140454 | − | 0.243273i | 0.0182855 | − | 0.0316715i | −0.856738 | − | 0.515752i | \(-0.827513\pi\) |
0.875023 | + | 0.484081i | \(0.160846\pi\) | |||||||
\(60\) | −0.922541 | − | 1.38539i | −0.119099 | − | 0.178852i | ||||
\(61\) | −9.52219 | + | 5.49764i | −1.21919 | + | 0.703900i | −0.964745 | − | 0.263186i | \(-0.915227\pi\) |
−0.254446 | + | 0.967087i | \(0.581893\pi\) | |||||||
\(62\) | −8.45745 | − | 2.74757i | −1.07410 | − | 0.348941i | ||||
\(63\) | −5.53124 | − | 5.69257i | −0.696871 | − | 0.717197i | ||||
\(64\) | −2.47005 | + | 7.60913i | −0.308757 | + | 0.951141i | ||||
\(65\) | 1.52212 | + | 2.63639i | 0.188796 | + | 0.327003i | ||||
\(66\) | −0.949260 | + | 6.47324i | −0.116846 | + | 0.796800i | ||||
\(67\) | 1.89068 | + | 1.09159i | 0.230984 | + | 0.133358i | 0.611026 | − | 0.791611i | \(-0.290757\pi\) |
−0.380042 | + | 0.924969i | \(0.624091\pi\) | |||||||
\(68\) | −1.92837 | − | 4.33012i | −0.233849 | − | 0.525104i | ||||
\(69\) | −1.39308 | − | 8.18874i | −0.167707 | − | 0.985809i | ||||
\(70\) | 1.07867 | + | 1.43825i | 0.128926 | + | 0.171904i | ||||
\(71\) | 0.198757i | 0.0235881i | 0.999930 | + | 0.0117940i | \(0.00375425\pi\) | ||||
−0.999930 | + | 0.0117940i | \(0.996246\pi\) | |||||||
\(72\) | 7.67029 | − | 3.62858i | 0.903953 | − | 0.427632i | ||||
\(73\) | − | 4.84941i | − | 0.567580i | −0.958886 | − | 0.283790i | \(-0.908408\pi\) | ||
0.958886 | − | 0.283790i | \(-0.0915919\pi\) | |||||||
\(74\) | 1.38068 | + | 6.49412i | 0.160501 | + | 0.754926i | ||||
\(75\) | −2.87194 | + | 7.74506i | −0.331623 | + | 0.894322i | ||||
\(76\) | 7.67758 | − | 3.41912i | 0.880679 | − | 0.392200i | ||||
\(77\) | 0.632248 | − | 7.03833i | 0.0720514 | − | 0.802092i | ||||
\(78\) | −14.4239 | + | 5.72753i | −1.63318 | + | 0.648515i | ||||
\(79\) | −3.42117 | + | 1.97521i | −0.384912 | + | 0.222229i | −0.679953 | − | 0.733256i | \(-0.738000\pi\) |
0.295041 | + | 0.955484i | \(0.404667\pi\) | |||||||
\(80\) | −1.82776 | + | 0.594244i | −0.204350 | + | 0.0664385i | ||||
\(81\) | −8.38060 | − | 3.28110i | −0.931177 | − | 0.364567i | ||||
\(82\) | −5.11086 | + | 15.7321i | −0.564400 | + | 1.73731i | ||||
\(83\) | 5.09429 | + | 8.82356i | 0.559171 | + | 0.968512i | 0.997566 | + | 0.0697297i | \(0.0222137\pi\) |
−0.438395 | + | 0.898782i | \(0.644453\pi\) | |||||||
\(84\) | −8.05243 | + | 4.37702i | −0.878593 | + | 0.477572i | ||||
\(85\) | 0.569384 | − | 0.986203i | 0.0617584 | − | 0.106969i | ||||
\(86\) | 1.27064 | + | 1.41106i | 0.137017 | + | 0.152159i | ||||
\(87\) | 1.74707 | − | 4.71152i | 0.187306 | − | 0.505128i | ||||
\(88\) | 6.90188 | + | 3.07178i | 0.735743 | + | 0.327453i | ||||
\(89\) | 2.67188i | 0.283219i | 0.989923 | + | 0.141609i | \(0.0452277\pi\) | ||||
−0.989923 | + | 0.141609i | \(0.954772\pi\) | |||||||
\(90\) | 1.78829 | + | 0.978565i | 0.188502 | + | 0.103150i | ||||
\(91\) | 15.2087 | − | 7.04900i | 1.59431 | − | 0.738936i | ||||
\(92\) | −9.53895 | − | 1.00170i | −0.994504 | − | 0.104435i | ||||
\(93\) | 10.7369 | − | 1.82656i | 1.11336 | − | 0.189406i | ||||
\(94\) | 7.83727 | − | 7.05736i | 0.808353 | − | 0.727911i | ||||
\(95\) | 1.74860 | + | 1.00956i | 0.179403 | + | 0.103578i | ||||
\(96\) | −1.64543 | − | 9.65881i | −0.167936 | − | 0.985798i | ||||
\(97\) | −1.87526 | + | 1.08268i | −0.190403 | + | 0.109929i | −0.592171 | − | 0.805812i | \(-0.701729\pi\) |
0.401768 | + | 0.915741i | \(0.368396\pi\) | |||||||
\(98\) | 8.41929 | − | 5.20727i | 0.850476 | − | 0.526013i | ||||
\(99\) | −2.64962 | − | 7.56210i | −0.266297 | − | 0.760019i | ||||
\(100\) | 7.71713 | + | 5.60575i | 0.771713 | + | 0.560575i | ||||
\(101\) | −4.50341 | + | 2.60004i | −0.448106 | + | 0.258714i | −0.707030 | − | 0.707184i | \(-0.749965\pi\) |
0.258924 | + | 0.965898i | \(0.416632\pi\) | |||||||
\(102\) | 4.55327 | + | 3.60146i | 0.450841 | + | 0.356597i | ||||
\(103\) | −1.13040 | + | 1.95791i | −0.111382 | + | 0.192919i | −0.916328 | − | 0.400429i | \(-0.868861\pi\) |
0.804946 | + | 0.593348i | \(0.202194\pi\) | |||||||
\(104\) | 1.87562 | + | 17.8219i | 0.183920 | + | 1.74758i | ||||
\(105\) | −1.98772 | − | 0.947169i | −0.193981 | − | 0.0924342i | ||||
\(106\) | −2.64594 | − | 12.4454i | −0.256996 | − | 1.20880i | ||||
\(107\) | − | 14.8308i | − | 1.43375i | −0.697204 | − | 0.716873i | \(-0.745573\pi\) | ||
0.697204 | − | 0.716873i | \(-0.254427\pi\) | |||||||
\(108\) | −6.25866 | + | 8.29634i | −0.602239 | + | 0.798316i | ||||
\(109\) | −10.9535 | −1.04916 | −0.524578 | − | 0.851363i | \(-0.675777\pi\) | ||||
−0.524578 | + | 0.851363i | \(0.675777\pi\) | |||||||
\(110\) | 0.377426 | + | 1.77525i | 0.0359861 | + | 0.169264i | ||||
\(111\) | −5.18914 | − | 6.26040i | −0.492532 | − | 0.594211i | ||||
\(112\) | 2.35859 | + | 10.3168i | 0.222866 | + | 0.974849i | ||||
\(113\) | −4.72782 | + | 8.18882i | −0.444756 | + | 0.770339i | −0.998035 | − | 0.0626563i | \(-0.980043\pi\) |
0.553280 | + | 0.832996i | \(0.313376\pi\) | |||||||
\(114\) | −6.38562 | + | 8.07324i | −0.598068 | + | 0.756128i | ||||
\(115\) | −1.15213 | − | 1.99554i | −0.107436 | − | 0.186085i | ||||
\(116\) | −4.69454 | − | 3.41013i | −0.435877 | − | 0.316622i | ||||
\(117\) | 12.3922 | − | 14.4122i | 1.14566 | − | 1.33241i | ||||
\(118\) | 0.377825 | + | 0.122744i | 0.0347816 | + | 0.0112995i | ||||
\(119\) | −5.12817 | − | 3.60856i | −0.470099 | − | 0.330796i | ||||
\(120\) | 1.64508 | − | 1.68358i | 0.150175 | − | 0.153689i | ||||
\(121\) | −1.93301 | + | 3.34807i | −0.175728 | + | 0.304370i | ||||
\(122\) | −10.4053 | − | 11.5552i | −0.942050 | − | 1.04616i | ||||
\(123\) | −3.39766 | − | 19.9721i | −0.306357 | − | 1.80082i | ||||
\(124\) | 1.31341 | − | 12.5072i | 0.117947 | − | 1.12318i | ||||
\(125\) | 4.69391i | 0.419836i | ||||||||
\(126\) | 6.24780 | − | 9.32550i | 0.556599 | − | 0.830782i | ||||
\(127\) | − | 1.45847i | − | 0.129419i | −0.997904 | − | 0.0647093i | \(-0.979388\pi\) | ||
0.997904 | − | 0.0647093i | \(-0.0206120\pi\) | |||||||
\(128\) | −11.2521 | − | 1.17901i | −0.994555 | − | 0.104211i | ||||
\(129\) | −2.18052 | − | 0.808556i | −0.191984 | − | 0.0711894i | ||||
\(130\) | −3.19926 | + | 2.88089i | −0.280593 | + | 0.252671i | ||||
\(131\) | 6.19426 | − | 10.7288i | 0.541195 | − | 0.937377i | −0.457641 | − | 0.889137i | \(-0.651305\pi\) |
0.998836 | − | 0.0482400i | \(-0.0153612\pi\) | |||||||
\(132\) | −9.23357 | + | 0.590636i | −0.803680 | + | 0.0514083i | ||||
\(133\) | 6.39822 | − | 9.09258i | 0.554796 | − | 0.788427i | ||||
\(134\) | −0.953947 | + | 2.93640i | −0.0824085 | + | 0.253667i | ||||
\(135\) | −2.49626 | − | 0.0451274i | −0.214844 | − | 0.00388394i | ||||
\(136\) | 5.42271 | − | 3.94096i | 0.464994 | − | 0.337935i | ||||
\(137\) | −4.45878 | − | 7.72284i | −0.380939 | − | 0.659806i | 0.610257 | − | 0.792203i | \(-0.291066\pi\) |
−0.991197 | + | 0.132397i | \(0.957733\pi\) | |||||||
\(138\) | 10.9178 | − | 4.33530i | 0.929382 | − | 0.369045i | ||||
\(139\) | 1.37546 | − | 2.38237i | 0.116665 | − | 0.202070i | −0.801779 | − | 0.597621i | \(-0.796113\pi\) |
0.918444 | + | 0.395551i | \(0.129446\pi\) | |||||||
\(140\) | −1.67229 | + | 1.91511i | −0.141335 | + | 0.161856i | ||||
\(141\) | −4.49086 | + | 12.1110i | −0.378198 | + | 1.01993i | ||||
\(142\) | −0.274939 | + | 0.0584533i | −0.0230724 | + | 0.00490529i | ||||
\(143\) | 16.9225 | 1.41513 | ||||||||
\(144\) | 7.27519 | + | 9.54314i | 0.606266 | + | 0.795262i | ||||
\(145\) | − | 1.39397i | − | 0.115763i | ||||||
\(146\) | 6.70817 | − | 1.42618i | 0.555172 | − | 0.118032i | ||||
\(147\) | −6.17387 | + | 10.4347i | −0.509212 | + | 0.860641i | ||||
\(148\) | −8.57724 | + | 3.81977i | −0.705045 | + | 0.313983i | ||||
\(149\) | −0.0762596 | + | 0.132086i | −0.00624743 | + | 0.0108209i | −0.869132 | − | 0.494580i | \(-0.835322\pi\) |
0.862885 | + | 0.505401i | \(0.168655\pi\) | |||||||
\(150\) | −11.5583 | − | 1.69496i | −0.943734 | − | 0.138393i | ||||
\(151\) | −10.8876 | + | 6.28594i | −0.886017 | + | 0.511542i | −0.872638 | − | 0.488368i | \(-0.837592\pi\) |
−0.0133797 | + | 0.999910i | \(0.504259\pi\) | |||||||
\(152\) | 6.98759 | + | 9.61482i | 0.566768 | + | 0.779865i | ||||
\(153\) | −6.98674 | − | 1.31895i | −0.564844 | − | 0.106631i | ||||
\(154\) | 9.92204 | − | 1.19535i | 0.799541 | − | 0.0963240i | ||||
\(155\) | 2.61650 | − | 1.51064i | 0.210162 | − | 0.121337i | ||||
\(156\) | −12.1648 | − | 18.2680i | −0.973967 | − | 1.46261i | ||||
\(157\) | 9.96123 | + | 5.75112i | 0.794993 | + | 0.458989i | 0.841717 | − | 0.539919i | \(-0.181545\pi\) |
−0.0467246 | + | 0.998908i | \(0.514878\pi\) | |||||||
\(158\) | −3.73845 | − | 4.15159i | −0.297415 | − | 0.330283i | ||||
\(159\) | 9.94450 | + | 11.9975i | 0.788650 | + | 0.951461i | ||||
\(160\) | −1.35955 | − | 2.35357i | −0.107482 | − | 0.186066i | ||||
\(161\) | −11.5119 | + | 5.33556i | −0.907262 | + | 0.420501i | ||||
\(162\) | 2.07404 | − | 12.5578i | 0.162952 | − | 0.986634i | ||||
\(163\) | − | 19.9710i | − | 1.56425i | −0.623121 | − | 0.782126i | \(-0.714135\pi\) | ||
0.623121 | − | 0.782126i | \(-0.285865\pi\) | |||||||
\(164\) | −23.2652 | − | 2.44312i | −1.81670 | − | 0.190776i | ||||
\(165\) | −1.41852 | − | 1.71136i | −0.110431 | − | 0.133229i | ||||
\(166\) | −10.7074 | + | 9.64187i | −0.831055 | + | 0.748354i | ||||
\(167\) | −10.9749 | + | 19.0090i | −0.849260 | + | 1.47096i | 0.0326095 | + | 0.999468i | \(0.489618\pi\) |
−0.881870 | + | 0.471493i | \(0.843715\pi\) | |||||||
\(168\) | −8.42289 | − | 9.85164i | −0.649840 | − | 0.760071i | ||||
\(169\) | 13.5710 | + | 23.5057i | 1.04392 | + | 1.80813i | ||||
\(170\) | 1.53166 | + | 0.497590i | 0.117473 | + | 0.0381634i | ||||
\(171\) | 2.33859 | − | 12.3879i | 0.178836 | − | 0.947329i | ||||
\(172\) | −1.57823 | + | 2.17266i | −0.120339 | + | 0.165664i | ||||
\(173\) | −13.2462 | + | 7.64770i | −1.00709 | + | 0.581444i | −0.910339 | − | 0.413864i | \(-0.864179\pi\) |
−0.0967521 | + | 0.995309i | \(0.530845\pi\) | |||||||
\(174\) | 7.03124 | + | 1.03109i | 0.533037 | + | 0.0781666i | ||||
\(175\) | 12.5673 | + | 1.12891i | 0.950002 | + | 0.0853379i | ||||
\(176\) | −2.21938 | + | 10.4507i | −0.167292 | + | 0.787754i | ||||
\(177\) | −0.479655 | + | 0.0815993i | −0.0360531 | + | 0.00613338i | ||||
\(178\) | −3.69600 | + | 0.785786i | −0.277027 | + | 0.0588971i | ||||
\(179\) | 10.6967i | 0.799512i | 0.916622 | + | 0.399756i | \(0.130905\pi\) | ||||
−0.916622 | + | 0.399756i | \(0.869095\pi\) | |||||||
\(180\) | −0.827720 | + | 2.76152i | −0.0616946 | + | 0.205832i | ||||
\(181\) | 7.23452i | 0.537738i | 0.963177 | + | 0.268869i | \(0.0866498\pi\) | ||||
−0.963177 | + | 0.268869i | \(0.913350\pi\) | |||||||
\(182\) | 14.2237 | + | 18.9651i | 1.05433 | + | 1.40579i | ||||
\(183\) | 17.8563 | + | 6.62127i | 1.31997 | + | 0.489458i | ||||
\(184\) | −1.41970 | − | 13.4898i | −0.104662 | − | 0.994480i | ||||
\(185\) | −1.95350 | − | 1.12786i | −0.143624 | − | 0.0829216i | ||||
\(186\) | 5.68433 | + | 14.3151i | 0.416795 | + | 1.04963i | ||||
\(187\) | −3.16514 | − | 5.48218i | −0.231458 | − | 0.400897i | ||||
\(188\) | 12.0673 | + | 8.76573i | 0.880099 | + | 0.639307i | ||||
\(189\) | −1.47729 | + | 13.6681i | −0.107457 | + | 0.994210i | ||||
\(190\) | −0.882260 | + | 2.71574i | −0.0640059 | + | 0.197020i | ||||
\(191\) | −17.2598 | + | 9.96493i | −1.24887 | + | 0.721037i | −0.970885 | − | 0.239547i | \(-0.923001\pi\) |
−0.277988 | + | 0.960584i | \(0.589668\pi\) | |||||||
\(192\) | 12.8771 | − | 5.11672i | 0.929323 | − | 0.369268i | ||||
\(193\) | 7.12877 | − | 12.3474i | 0.513140 | − | 0.888784i | −0.486744 | − | 0.873545i | \(-0.661816\pi\) |
0.999884 | − | 0.0152396i | \(-0.00485112\pi\) | |||||||
\(194\) | −2.04917 | − | 2.27562i | −0.147122 | − | 0.163380i | ||||
\(195\) | 1.83322 | − | 4.94383i | 0.131279 | − | 0.354035i | ||||
\(196\) | 9.67926 | + | 10.1149i | 0.691376 | + | 0.722495i | ||||
\(197\) | 11.9516 | 0.851517 | 0.425759 | − | 0.904837i | \(-0.360007\pi\) | ||||
0.425759 | + | 0.904837i | \(0.360007\pi\) | |||||||
\(198\) | 9.68138 | − | 5.88919i | 0.688026 | − | 0.418526i | ||||
\(199\) | −21.9514 | −1.55610 | −0.778048 | − | 0.628205i | \(-0.783790\pi\) | ||||
−0.778048 | + | 0.628205i | \(0.783790\pi\) | |||||||
\(200\) | −5.48485 | + | 12.3237i | −0.387837 | + | 0.871418i | ||||
\(201\) | −0.634177 | − | 3.72781i | −0.0447314 | − | 0.262939i | ||||
\(202\) | −4.92106 | − | 5.46489i | −0.346244 | − | 0.384508i | ||||
\(203\) | −7.64505 | − | 0.686749i | −0.536577 | − | 0.0482003i | ||||
\(204\) | −3.64279 | + | 7.35769i | −0.255046 | + | 0.515141i | ||||
\(205\) | −2.81000 | − | 4.86706i | −0.196259 | − | 0.339930i | ||||
\(206\) | −3.04082 | − | 0.987869i | −0.211864 | − | 0.0688281i | ||||
\(207\) | −9.37998 | + | 10.9089i | −0.651954 | + | 0.758222i | ||||
\(208\) | −24.1013 | + | 7.83585i | −1.67112 | + | 0.543318i | ||||
\(209\) | 9.72027 | − | 5.61200i | 0.672365 | − | 0.388190i | ||||
\(210\) | 0.725637 | − | 3.02816i | 0.0500737 | − | 0.208963i | ||||
\(211\) | 8.92341 | + | 5.15194i | 0.614313 | + | 0.354674i | 0.774652 | − | 0.632388i | \(-0.217925\pi\) |
−0.160338 | + | 0.987062i | \(0.551259\pi\) | |||||||
\(212\) | 16.4375 | − | 7.32023i | 1.12893 | − | 0.502756i | ||||
\(213\) | 0.265044 | − | 0.219691i | 0.0181605 | − | 0.0150530i | ||||
\(214\) | 20.5154 | − | 4.36165i | 1.40240 | − | 0.298156i | ||||
\(215\) | −0.645139 | −0.0439981 | ||||||||
\(216\) | −13.3169 | − | 6.21767i | −0.906102 | − | 0.423059i | ||||
\(217\) | −6.99583 | − | 15.0940i | −0.474908 | − | 1.02465i | ||||
\(218\) | −3.22137 | − | 15.1519i | −0.218179 | − | 1.02622i | ||||
\(219\) | −6.46674 | + | 5.36017i | −0.436982 | + | 0.362207i | ||||
\(220\) | −2.34470 | + | 1.04418i | −0.158080 | + | 0.0703988i | ||||
\(221\) | 7.50804 | − | 13.0043i | 0.505046 | − | 0.874765i | ||||
\(222\) | 7.13389 | − | 9.01927i | 0.478795 | − | 0.605334i | ||||
\(223\) | −7.23332 | − | 12.5285i | −0.484379 | − | 0.838969i | 0.515460 | − | 0.856914i | \(-0.327621\pi\) |
−0.999839 | + | 0.0179449i | \(0.994288\pi\) | |||||||
\(224\) | −13.5776 | + | 6.29675i | −0.907191 | + | 0.420719i | ||||
\(225\) | 13.5026 | − | 4.73105i | 0.900170 | − | 0.315404i | ||||
\(226\) | −12.7180 | − | 4.13168i | −0.845988 | − | 0.274835i | ||||
\(227\) | 9.67633 | + | 16.7599i | 0.642240 | + | 1.11239i | 0.984932 | + | 0.172945i | \(0.0553282\pi\) |
−0.342691 | + | 0.939448i | \(0.611338\pi\) | |||||||
\(228\) | −13.0457 | − | 6.45890i | −0.863970 | − | 0.427751i | ||||
\(229\) | 17.0595 | + | 9.84933i | 1.12733 | + | 0.650862i | 0.943261 | − | 0.332052i | \(-0.107741\pi\) |
0.184065 | + | 0.982914i | \(0.441074\pi\) | |||||||
\(230\) | 2.42159 | − | 2.18061i | 0.159675 | − | 0.143785i | ||||
\(231\) | −10.0845 | + | 6.93654i | −0.663514 | + | 0.456391i | ||||
\(232\) | 3.33658 | − | 7.49683i | 0.219057 | − | 0.492191i | ||||
\(233\) | 7.34808 | 0.481389 | 0.240694 | − | 0.970601i | \(-0.422625\pi\) | ||||
0.240694 | + | 0.970601i | \(0.422625\pi\) | |||||||
\(234\) | 23.5808 | + | 12.9036i | 1.54152 | + | 0.843535i | ||||
\(235\) | 3.58321i | 0.233743i | ||||||||
\(236\) | −0.0586747 | + | 0.558743i | −0.00381940 | + | 0.0363711i | ||||
\(237\) | 6.41548 | + | 2.37892i | 0.416730 | + | 0.154527i | ||||
\(238\) | 3.48354 | − | 8.15504i | 0.225804 | − | 0.528613i | ||||
\(239\) | 8.34611 | + | 4.81863i | 0.539865 | + | 0.311691i | 0.745024 | − | 0.667037i | \(-0.232438\pi\) |
−0.205159 | + | 0.978729i | \(0.565771\pi\) | |||||||
\(240\) | 2.81270 | + | 1.78051i | 0.181559 | + | 0.114931i | ||||
\(241\) | −3.56210 | + | 2.05658i | −0.229455 | + | 0.132476i | −0.610321 | − | 0.792154i | \(-0.708959\pi\) |
0.380865 | + | 0.924630i | \(0.375626\pi\) | |||||||
\(242\) | −5.19986 | − | 1.68928i | −0.334260 | − | 0.108591i | ||||
\(243\) | 4.88791 | + | 14.8023i | 0.313559 | + | 0.949569i | ||||
\(244\) | 12.9241 | − | 17.7919i | 0.827381 | − | 1.13901i | ||||
\(245\) | −0.599424 | + | 3.30954i | −0.0382958 | + | 0.211439i | ||||
\(246\) | 26.6280 | − | 10.5737i | 1.69774 | − | 0.674152i | ||||
\(247\) | 23.0575 | + | 13.3123i | 1.46711 | + | 0.847038i | ||||
\(248\) | 17.6874 | − | 1.86147i | 1.12315 | − | 0.118204i | ||||
\(249\) | 6.13548 | − | 16.5462i | 0.388820 | − | 1.04857i | ||||
\(250\) | −6.49307 | + | 1.38045i | −0.410658 | + | 0.0873076i | ||||
\(251\) | −3.31816 | −0.209441 | −0.104720 | − | 0.994502i | \(-0.533395\pi\) | ||||
−0.104720 | + | 0.994502i | \(0.533395\pi\) | |||||||
\(252\) | 14.7374 | + | 5.89998i | 0.928367 | + | 0.371664i | ||||
\(253\) | −12.8091 | −0.805300 | ||||||||
\(254\) | 2.01750 | − | 0.428929i | 0.126589 | − | 0.0269134i | ||||
\(255\) | −1.94447 | + | 0.330795i | −0.121767 | + | 0.0207152i | ||||
\(256\) | −1.67826 | − | 15.9117i | −0.104892 | − | 0.994484i | ||||
\(257\) | −14.9497 | − | 8.63121i | −0.932537 | − | 0.538400i | −0.0449237 | − | 0.998990i | \(-0.514304\pi\) |
−0.887613 | + | 0.460590i | \(0.847638\pi\) | |||||||
\(258\) | 0.477193 | − | 3.25410i | 0.0297088 | − | 0.202591i | ||||
\(259\) | −7.14796 | + | 10.1581i | −0.444153 | + | 0.631191i | ||||
\(260\) | −4.92600 | − | 3.57826i | −0.305498 | − | 0.221915i | ||||
\(261\) | −8.21396 | + | 2.87802i | −0.508431 | + | 0.178145i | ||||
\(262\) | 16.6628 | + | 5.41322i | 1.02943 | + | 0.334430i | ||||
\(263\) | 11.4455 | − | 6.60806i | 0.705760 | − | 0.407471i | −0.103729 | − | 0.994606i | \(-0.533078\pi\) |
0.809489 | + | 0.587135i | \(0.199744\pi\) | |||||||
\(264\) | −3.53257 | − | 12.5991i | −0.217415 | − | 0.775419i | ||||
\(265\) | 3.74371 | + | 2.16143i | 0.229974 | + | 0.132776i | ||||
\(266\) | 14.4594 | + | 6.17655i | 0.886564 | + | 0.378708i | ||||
\(267\) | 3.56298 | − | 2.95330i | 0.218051 | − | 0.180739i | ||||
\(268\) | −4.34247 | − | 0.456011i | −0.265258 | − | 0.0278553i | ||||
\(269\) | − | 27.5600i | − | 1.68036i | −0.542304 | − | 0.840182i | \(-0.682448\pi\) | ||
0.542304 | − | 0.840182i | \(-0.317552\pi\) | |||||||
\(270\) | −0.671712 | − | 3.46634i | −0.0408791 | − | 0.210955i | ||||
\(271\) | 21.2467 | 1.29065 | 0.645323 | − | 0.763910i | \(-0.276723\pi\) | ||||
0.645323 | + | 0.763910i | \(0.276723\pi\) | |||||||
\(272\) | 7.04631 | + | 6.34220i | 0.427245 | + | 0.384552i | ||||
\(273\) | −26.2105 | − | 12.4896i | −1.58633 | − | 0.755905i | ||||
\(274\) | 9.37167 | − | 8.43906i | 0.566163 | − | 0.509822i | ||||
\(275\) | 11.0315 | + | 6.36906i | 0.665227 | + | 0.384069i | ||||
\(276\) | 9.20786 | + | 13.8275i | 0.554248 | + | 0.832318i | ||||
\(277\) | 7.26076 | + | 12.5760i | 0.436257 | + | 0.755619i | 0.997397 | − | 0.0721016i | \(-0.0229706\pi\) |
−0.561140 | + | 0.827721i | \(0.689637\pi\) | |||||||
\(278\) | 3.70004 | + | 1.20203i | 0.221914 | + | 0.0720930i | ||||
\(279\) | −14.3035 | − | 12.2988i | −0.856326 | − | 0.736309i | ||||
\(280\) | −3.14097 | − | 1.75005i | −0.187709 | − | 0.104586i | ||||
\(281\) | 6.35647 | + | 11.0097i | 0.379195 | + | 0.656785i | 0.990945 | − | 0.134266i | \(-0.0428676\pi\) |
−0.611750 | + | 0.791051i | \(0.709534\pi\) | |||||||
\(282\) | −18.0738 | − | 2.65041i | −1.07628 | − | 0.157830i | ||||
\(283\) | −10.4272 | + | 18.0605i | −0.619834 | + | 1.07358i | 0.369682 | + | 0.929158i | \(0.379467\pi\) |
−0.989516 | + | 0.144425i | \(0.953867\pi\) | |||||||
\(284\) | −0.161716 | − | 0.363132i | −0.00959610 | − | 0.0215479i | ||||
\(285\) | −0.586520 | − | 3.44767i | −0.0347425 | − | 0.204222i | ||||
\(286\) | 4.97683 | + | 23.4089i | 0.294286 | + | 1.38420i | ||||
\(287\) | −28.0770 | + | 13.0132i | −1.65733 | + | 0.768147i | ||||
\(288\) | −11.0614 | + | 12.8703i | −0.651799 | + | 0.758392i | ||||
\(289\) | 11.3829 | 0.669581 | ||||||||
\(290\) | 1.92828 | − | 0.409960i | 0.113232 | − | 0.0240737i | ||||
\(291\) | 3.51653 | + | 1.30396i | 0.206143 | + | 0.0764396i | ||||
\(292\) | 3.94567 | + | 8.85995i | 0.230903 | + | 0.518489i | ||||
\(293\) | −5.80807 | − | 3.35329i | −0.339311 | − | 0.195901i | 0.320656 | − | 0.947196i | \(-0.396097\pi\) |
−0.659967 | + | 0.751294i | \(0.729430\pi\) | |||||||
\(294\) | −16.2500 | − | 5.47149i | −0.947720 | − | 0.319104i | ||||
\(295\) | −0.116889 | + | 0.0674857i | −0.00680552 | + | 0.00392917i | ||||
\(296\) | −7.80640 | − | 10.7415i | −0.453738 | − | 0.624336i | ||||
\(297\) | −7.15545 | + | 11.8919i | −0.415201 | + | 0.690037i | ||||
\(298\) | −0.205141 | − | 0.0666440i | −0.0118835 | − | 0.00386058i | ||||
\(299\) | −15.1922 | − | 26.3137i | −0.878590 | − | 1.52176i | ||||
\(300\) | −1.05461 | − | 16.4871i | −0.0608882 | − | 0.951882i | ||||
\(301\) | −0.317831 | + | 3.53817i | −0.0183195 | + | 0.203937i | ||||
\(302\) | −11.8973 | − | 13.2121i | −0.684612 | − | 0.760269i | ||||
\(303\) | 8.44492 | + | 3.13145i | 0.485148 | + | 0.179897i | ||||
\(304\) | −11.2451 | + | 12.4936i | −0.644953 | + | 0.716555i | ||||
\(305\) | 5.28305 | 0.302507 | ||||||||
\(306\) | −0.230261 | − | 10.0526i | −0.0131631 | − | 0.574670i | ||||
\(307\) | 12.0792 | 0.689397 | 0.344699 | − | 0.938713i | \(-0.387981\pi\) | ||||
0.344699 | + | 0.938713i | \(0.387981\pi\) | |||||||
\(308\) | 4.57154 | + | 13.3736i | 0.260488 | + | 0.762030i | ||||
\(309\) | 3.86037 | − | 0.656729i | 0.219609 | − | 0.0373600i | ||||
\(310\) | 2.85916 | + | 3.17513i | 0.162389 | + | 0.180335i | ||||
\(311\) | −1.01185 | + | 1.75258i | −0.0573769 | + | 0.0993797i | −0.893287 | − | 0.449486i | \(-0.851607\pi\) |
0.835910 | + | 0.548866i | \(0.184940\pi\) | |||||||
\(312\) | 21.6925 | − | 22.2001i | 1.22810 | − | 1.25683i | ||||
\(313\) | 16.8337 | − | 9.71892i | 0.951495 | − | 0.549346i | 0.0579500 | − | 0.998319i | \(-0.481544\pi\) |
0.893545 | + | 0.448974i | \(0.148210\pi\) | |||||||
\(314\) | −5.02596 | + | 15.4707i | −0.283631 | + | 0.873062i | ||||
\(315\) | 0.934016 | + | 3.69758i | 0.0526259 | + | 0.208335i | ||||
\(316\) | 4.64342 | − | 6.39235i | 0.261213 | − | 0.359598i | ||||
\(317\) | −5.21828 | − | 9.03832i | −0.293088 | − | 0.507643i | 0.681451 | − | 0.731864i | \(-0.261349\pi\) |
−0.974538 | + | 0.224222i | \(0.928016\pi\) | |||||||
\(318\) | −13.6714 | + | 17.2846i | −0.766655 | + | 0.969271i | ||||
\(319\) | −6.71078 | − | 3.87447i | −0.375731 | − | 0.216929i | ||||
\(320\) | 2.85585 | − | 2.57283i | 0.159647 | − | 0.143826i | ||||
\(321\) | −19.7770 | + | 16.3928i | −1.10385 | + | 0.914959i | ||||
\(322\) | −10.7662 | − | 14.3552i | −0.599979 | − | 0.799981i | ||||
\(323\) | − | 9.95953i | − | 0.554163i | ||||||
\(324\) | 17.9811 | − | 0.824167i | 0.998951 | − | 0.0457871i | ||||
\(325\) | 30.2162i | 1.67609i | ||||||||
\(326\) | 27.6258 | − | 5.87337i | 1.53005 | − | 0.325296i | ||||
\(327\) | 12.1072 | + | 14.6066i | 0.669529 | + | 0.807748i | ||||
\(328\) | −3.46260 | − | 32.9011i | −0.191190 | − | 1.81666i | ||||
\(329\) | 19.6516 | + | 1.76529i | 1.08343 | + | 0.0973235i | ||||
\(330\) | 1.95014 | − | 2.46553i | 0.107352 | − | 0.135723i | ||||
\(331\) | −31.2751 | + | 18.0567i | −1.71903 | + | 0.992484i | −0.798328 | + | 0.602223i | \(0.794282\pi\) |
−0.920704 | + | 0.390261i | \(0.872385\pi\) | |||||||
\(332\) | −16.4866 | − | 11.9759i | −0.904817 | − | 0.657262i | ||||
\(333\) | −2.61262 | + | 13.8396i | −0.143171 | + | 0.758404i | ||||
\(334\) | −29.5227 | − | 9.59103i | −1.61541 | − | 0.524798i | ||||
\(335\) | −0.524489 | − | 0.908442i | −0.0286559 | − | 0.0496335i | ||||
\(336\) | 11.1506 | − | 14.5487i | 0.608316 | − | 0.793695i | ||||
\(337\) | 3.70539 | − | 6.41792i | 0.201845 | − | 0.349606i | −0.747278 | − | 0.664512i | \(-0.768639\pi\) |
0.949123 | + | 0.314905i | \(0.101973\pi\) | |||||||
\(338\) | −28.5242 | + | 25.6856i | −1.55151 | + | 1.39712i | ||||
\(339\) | 16.1457 | − | 2.74671i | 0.876912 | − | 0.149181i | ||||
\(340\) | −0.237861 | + | 2.26508i | −0.0128998 | + | 0.122841i | ||||
\(341\) | − | 16.7949i | − | 0.909495i | ||||||
\(342\) | 17.8240 | − | 0.408267i | 0.963809 | − | 0.0220766i | ||||
\(343\) | 17.8554 | + | 4.91791i | 0.964099 | + | 0.265542i | ||||
\(344\) | −3.46958 | − | 1.54419i | −0.187067 | − | 0.0832570i | ||||
\(345\) | −1.38760 | + | 3.74210i | −0.0747061 | + | 0.201468i | ||||
\(346\) | −14.4747 | − | 16.0743i | −0.778163 | − | 0.864159i | ||||
\(347\) | −24.8678 | − | 14.3574i | −1.33497 | − | 0.770747i | −0.348915 | − | 0.937154i | \(-0.613450\pi\) |
−0.986057 | + | 0.166408i | \(0.946783\pi\) | |||||||
\(348\) | 0.641550 | + | 10.0295i | 0.0343907 | + | 0.537639i | ||||
\(349\) | −0.744758 | + | 0.429986i | −0.0398660 | + | 0.0230166i | −0.519801 | − | 0.854288i | \(-0.673994\pi\) |
0.479935 | + | 0.877304i | \(0.340660\pi\) | |||||||
\(350\) | 2.13436 | + | 17.7164i | 0.114087 | + | 0.946980i | ||||
\(351\) | −32.9163 | − | 0.595060i | −1.75694 | − | 0.0317620i | ||||
\(352\) | −15.1092 | + | 0.00344740i | −0.805322 | + | 0.000183747i | ||||
\(353\) | 27.7159 | − | 16.0018i | 1.47517 | − | 0.851690i | 0.475562 | − | 0.879682i | \(-0.342245\pi\) |
0.999608 | + | 0.0279920i | \(0.00891130\pi\) | |||||||
\(354\) | −0.253940 | − | 0.639507i | −0.0134968 | − | 0.0339894i | ||||
\(355\) | 0.0477497 | − | 0.0827049i | 0.00253429 | − | 0.00438952i | ||||
\(356\) | −2.17395 | − | 4.88157i | −0.115219 | − | 0.258723i | ||||
\(357\) | 0.856241 | + | 10.8271i | 0.0453171 | + | 0.573032i | ||||
\(358\) | −14.7968 | + | 3.14586i | −0.782033 | + | 0.166264i | ||||
\(359\) | 5.52163i | 0.291421i | 0.989327 | + | 0.145710i | \(0.0465468\pi\) | ||||
−0.989327 | + | 0.145710i | \(0.953453\pi\) | |||||||
\(360\) | −4.06343 | − | 0.332833i | −0.214162 | − | 0.0175418i | ||||
\(361\) | −1.34111 | −0.0705845 | ||||||||
\(362\) | −10.0075 | + | 2.12763i | −0.525982 | + | 0.111826i | ||||
\(363\) | 6.60130 | − | 1.12302i | 0.346478 | − | 0.0589432i | ||||
\(364\) | −22.0513 | + | 25.2531i | −1.15580 | + | 1.32362i | ||||
\(365\) | −1.16503 | + | 2.01789i | −0.0609805 | + | 0.105621i | ||||
\(366\) | −3.90774 | + | 26.6478i | −0.204261 | + | 1.39290i | ||||
\(367\) | −11.4766 | − | 19.8780i | −0.599072 | − | 1.03762i | −0.992958 | − | 0.118465i | \(-0.962203\pi\) |
0.393886 | − | 0.919159i | \(-0.371131\pi\) | |||||||
\(368\) | 18.2428 | − | 5.93114i | 0.950974 | − | 0.309182i | ||||
\(369\) | −22.8775 | + | 26.6065i | −1.19095 | + | 1.38508i | ||||
\(370\) | 0.985644 | − | 3.03397i | 0.0512412 | − | 0.157729i | ||||
\(371\) | 13.6984 | − | 19.4670i | 0.711185 | − | 1.01067i | ||||
\(372\) | −18.1302 | + | 12.0731i | −0.940010 | + | 0.625961i | ||||
\(373\) | −14.2688 | + | 24.7143i | −0.738810 | + | 1.27966i | 0.214222 | + | 0.976785i | \(0.431278\pi\) |
−0.953032 | + | 0.302871i | \(0.902055\pi\) | |||||||
\(374\) | 6.65263 | − | 5.99061i | 0.343999 | − | 0.309767i | ||||
\(375\) | 6.25938 | − | 5.18830i | 0.323233 | − | 0.267923i | ||||
\(376\) | −8.57667 | + | 19.2706i | −0.442308 | + | 0.993807i | ||||
\(377\) | − | 18.3813i | − | 0.946685i | ||||||
\(378\) | −19.3415 | + | 1.97619i | −0.994821 | + | 0.101644i | ||||
\(379\) | − | 13.3942i | − | 0.688014i | −0.938967 | − | 0.344007i | \(-0.888216\pi\) | ||
0.938967 | − | 0.344007i | \(-0.111784\pi\) | |||||||
\(380\) | −4.01614 | − | 0.421743i | −0.206024 | − | 0.0216349i | ||||
\(381\) | −1.94489 | + | 1.61209i | −0.0996398 | + | 0.0825898i | ||||
\(382\) | −18.8605 | − | 20.9447i | −0.964985 | − | 1.07163i | ||||
\(383\) | 11.1930 | − | 19.3869i | 0.571937 | − | 0.990625i | −0.424430 | − | 0.905461i | \(-0.639525\pi\) |
0.996367 | − | 0.0851637i | \(-0.0271413\pi\) | |||||||
\(384\) | 10.8650 | + | 16.3080i | 0.554453 | + | 0.832215i | ||||
\(385\) | −1.95399 | + | 2.77684i | −0.0995844 | + | 0.141521i | ||||
\(386\) | 19.1766 | + | 6.22990i | 0.976064 | + | 0.317093i | ||||
\(387\) | 1.33197 | + | 3.80147i | 0.0677076 | + | 0.193239i | ||||
\(388\) | 2.54521 | − | 3.50386i | 0.129214 | − | 0.177881i | ||||
\(389\) | 13.5306 | + | 23.4357i | 0.686029 | + | 1.18824i | 0.973112 | + | 0.230332i | \(0.0739811\pi\) |
−0.287083 | + | 0.957906i | \(0.592686\pi\) | |||||||
\(390\) | 7.37792 | + | 1.08193i | 0.373595 | + | 0.0547855i | ||||
\(391\) | −5.68302 | + | 9.84327i | −0.287402 | + | 0.497796i | ||||
\(392\) | −11.1453 | + | 16.3640i | −0.562924 | + | 0.826508i | ||||
\(393\) | −21.1536 | + | 3.59867i | −1.06706 | + | 0.181529i | ||||
\(394\) | 3.51491 | + | 16.5326i | 0.177078 | + | 0.832901i | ||||
\(395\) | 1.89812 | 0.0955046 | ||||||||
\(396\) | 10.9937 | + | 11.6602i | 0.552456 | + | 0.585949i | ||||
\(397\) | 11.6658i | 0.585487i | 0.956191 | + | 0.292744i | \(0.0945683\pi\) | ||||
−0.956191 | + | 0.292744i | \(0.905432\pi\) | |||||||
\(398\) | −6.45580 | − | 30.3653i | −0.323600 | − | 1.52208i | ||||
\(399\) | −19.1972 | + | 1.51817i | −0.961061 | + | 0.0760037i | ||||
\(400\) | −18.6604 | − | 3.96283i | −0.933020 | − | 0.198142i | ||||
\(401\) | −8.33464 | + | 14.4360i | −0.416212 | + | 0.720901i | −0.995555 | − | 0.0941835i | \(-0.969976\pi\) |
0.579343 | + | 0.815084i | \(0.303309\pi\) | |||||||
\(402\) | 4.97015 | − | 1.97358i | 0.247889 | − | 0.0984334i | ||||
\(403\) | 34.5018 | − | 19.9196i | 1.71866 | − | 0.992268i | ||||
\(404\) | 6.11230 | − | 8.41447i | 0.304098 | − | 0.418636i | ||||
\(405\) | 2.69900 | + | 3.37867i | 0.134114 | + | 0.167888i | ||||
\(406\) | −1.29839 | − | 10.7773i | −0.0644380 | − | 0.534870i | ||||
\(407\) | −10.8593 | + | 6.26962i | −0.538275 | + | 0.310773i | ||||
\(408\) | −11.2492 | − | 2.87520i | −0.556918 | − | 0.142344i | ||||
\(409\) | 0.589282 | + | 0.340222i | 0.0291381 | + | 0.0168229i | 0.514498 | − | 0.857491i | \(-0.327978\pi\) |
−0.485360 | + | 0.874314i | \(0.661312\pi\) | |||||||
\(410\) | 5.90618 | − | 5.31844i | 0.291686 | − | 0.262659i | ||||
\(411\) | −5.37009 | + | 14.4821i | −0.264887 | + | 0.714349i | ||||
\(412\) | 0.472227 | − | 4.49688i | 0.0232649 | − | 0.221546i | ||||
\(413\) | 0.312530 | + | 0.674306i | 0.0153786 | + | 0.0331804i | ||||
\(414\) | −17.8489 | − | 9.76704i | −0.877224 | − | 0.480024i | ||||
\(415\) | − | 4.89544i | − | 0.240308i | ||||||
\(416\) | −17.9274 | − | 31.0347i | −0.878961 | − | 1.52160i | ||||
\(417\) | −4.69726 | + | 0.799101i | −0.230026 | + | 0.0391322i | ||||
\(418\) | 10.6217 | + | 11.7956i | 0.519526 | + | 0.576939i | ||||
\(419\) | 5.19926 | − | 9.00538i | 0.254000 | − | 0.439941i | −0.710623 | − | 0.703573i | \(-0.751587\pi\) |
0.964624 | + | 0.263631i | \(0.0849202\pi\) | |||||||
\(420\) | 4.40225 | + | 0.113205i | 0.214808 | + | 0.00552386i | ||||
\(421\) | −3.42772 | − | 5.93699i | −0.167057 | − | 0.289351i | 0.770327 | − | 0.637649i | \(-0.220093\pi\) |
−0.937384 | + | 0.348298i | \(0.886760\pi\) | |||||||
\(422\) | −4.50232 | + | 13.8589i | −0.219170 | + | 0.674640i | ||||
\(423\) | 21.1140 | − | 7.39797i | 1.02660 | − | 0.359701i | ||||
\(424\) | 14.9602 | + | 20.5850i | 0.726532 | + | 0.999698i | ||||
\(425\) | 9.78875 | − | 5.65154i | 0.474824 | − | 0.274140i | ||||
\(426\) | 0.381846 | + | 0.302025i | 0.0185005 | + | 0.0146332i | ||||
\(427\) | 2.60272 | − | 28.9741i | 0.125955 | − | 1.40215i | ||||
\(428\) | 12.0669 | + | 27.0961i | 0.583276 | + | 1.30974i | ||||
\(429\) | −18.7049 | − | 22.5664i | −0.903083 | − | 1.08952i | ||||
\(430\) | −0.189732 | − | 0.892419i | −0.00914969 | − | 0.0430363i | ||||
\(431\) | − | 15.2572i | − | 0.734914i | −0.930040 | − | 0.367457i | \(-0.880228\pi\) | ||
0.930040 | − | 0.367457i | \(-0.119772\pi\) | |||||||
\(432\) | 4.68443 | − | 20.2498i | 0.225380 | − | 0.974271i | ||||
\(433\) | − | 34.6459i | − | 1.66498i | −0.554042 | − | 0.832489i | \(-0.686915\pi\) | ||
0.554042 | − | 0.832489i | \(-0.313085\pi\) | |||||||
\(434\) | 18.8221 | − | 14.1164i | 0.903489 | − | 0.677608i | ||||
\(435\) | −1.85888 | + | 1.54080i | −0.0891266 | + | 0.0738755i | ||||
\(436\) | 20.0122 | − | 8.91221i | 0.958412 | − | 0.426817i | ||||
\(437\) | −17.4528 | − | 10.0764i | −0.834879 | − | 0.482018i | ||||
\(438\) | −9.31654 | − | 7.36902i | −0.445162 | − | 0.352105i | ||||
\(439\) | 6.12174 | + | 10.6032i | 0.292175 | + | 0.506061i | 0.974324 | − | 0.225152i | \(-0.0722878\pi\) |
−0.682149 | + | 0.731213i | \(0.738955\pi\) | |||||||
\(440\) | −2.13398 | − | 2.93632i | −0.101733 | − | 0.139984i | ||||
\(441\) | 20.7390 | − | 3.30084i | 0.987569 | − | 0.157183i | ||||
\(442\) | 20.1969 | + | 6.56135i | 0.960668 | + | 0.312091i | ||||
\(443\) | 24.2468 | − | 13.9989i | 1.15200 | − | 0.665108i | 0.202627 | − | 0.979256i | \(-0.435052\pi\) |
0.949374 | + | 0.314148i | \(0.101719\pi\) | |||||||
\(444\) | 14.5744 | + | 7.21576i | 0.691669 | + | 0.342445i | ||||
\(445\) | 0.641897 | − | 1.11180i | 0.0304288 | − | 0.0527043i | ||||
\(446\) | 15.2033 | − | 13.6904i | 0.719898 | − | 0.648258i | ||||
\(447\) | 0.260429 | − | 0.0443045i | 0.0123179 | − | 0.00209553i | ||||
\(448\) | −12.7034 | − | 16.9300i | −0.600178 | − | 0.799867i | ||||
\(449\) | 23.8270 | 1.12446 | 0.562232 | − | 0.826979i | \(-0.309943\pi\) | ||||
0.562232 | + | 0.826979i | \(0.309943\pi\) | |||||||
\(450\) | 10.5155 | + | 17.2867i | 0.495704 | + | 0.814901i | ||||
\(451\) | −31.2409 | −1.47108 | ||||||||
\(452\) | 1.97505 | − | 18.8079i | 0.0928985 | − | 0.884647i | ||||
\(453\) | 20.4167 | + | 7.57069i | 0.959260 | + | 0.355702i | ||||
\(454\) | −20.3381 | + | 18.3142i | −0.954516 | + | 0.859529i | ||||
\(455\) | −8.02199 | − | 0.720609i | −0.376077 | − | 0.0337827i | ||||
\(456\) | 5.09792 | − | 19.9455i | 0.238732 | − | 0.934036i | ||||
\(457\) | −11.9100 | − | 20.6288i | −0.557128 | − | 0.964974i | −0.997735 | − | 0.0672735i | \(-0.978570\pi\) |
0.440607 | − | 0.897700i | \(-0.354763\pi\) | |||||||
\(458\) | −8.60742 | + | 26.4950i | −0.402198 | + | 1.23803i | ||||
\(459\) | 5.96378 | + | 10.7748i | 0.278366 | + | 0.502923i | ||||
\(460\) | 3.72861 | + | 2.70847i | 0.173847 | + | 0.126283i | ||||
\(461\) | 0.317557 | − | 0.183341i | 0.0147901 | − | 0.00853906i | −0.492587 | − | 0.870263i | \(-0.663949\pi\) |
0.507377 | + | 0.861724i | \(0.330615\pi\) | |||||||
\(462\) | −12.5611 | − | 11.9099i | −0.584395 | − | 0.554099i | ||||
\(463\) | −14.3509 | − | 8.28549i | −0.666943 | − | 0.385060i | 0.127974 | − | 0.991777i | \(-0.459152\pi\) |
−0.794917 | + | 0.606718i | \(0.792486\pi\) | |||||||
\(464\) | 11.3516 | + | 2.41069i | 0.526985 | + | 0.111914i | ||||
\(465\) | −4.90654 | − | 1.81939i | −0.227535 | − | 0.0843721i | ||||
\(466\) | 2.16103 | + | 10.1646i | 0.100108 | + | 0.470865i | ||||
\(467\) | −26.1463 | −1.20991 | −0.604953 | − | 0.796261i | \(-0.706808\pi\) | ||||
−0.604953 | + | 0.796261i | \(0.706808\pi\) | |||||||
\(468\) | −10.9145 | + | 36.4141i | −0.504524 | + | 1.68324i | ||||
\(469\) | −5.24061 | + | 2.42893i | −0.241989 | + | 0.112158i | ||||
\(470\) | −4.95665 | + | 1.05380i | −0.228633 | + | 0.0486084i | ||||
\(471\) | −3.34122 | − | 19.6403i | −0.153955 | − | 0.904976i | ||||
\(472\) | −0.790163 | + | 0.0831588i | −0.0363702 | + | 0.00382769i | ||||
\(473\) | −1.79313 | + | 3.10579i | −0.0824480 | + | 0.142804i | ||||
\(474\) | −1.40399 | + | 9.57414i | −0.0644873 | + | 0.439755i | ||||
\(475\) | 10.0205 | + | 17.3561i | 0.459774 | + | 0.796352i | ||||
\(476\) | 12.3053 | + | 2.42042i | 0.564014 | + | 0.110940i | ||||
\(477\) | 5.00685 | − | 26.5222i | 0.229248 | − | 1.21437i | ||||
\(478\) | −4.21104 | + | 12.9623i | −0.192609 | + | 0.592880i | ||||
\(479\) | 19.0772 | + | 33.0427i | 0.871661 | + | 1.50976i | 0.860277 | + | 0.509826i | \(0.170290\pi\) |
0.0113840 | + | 0.999935i | \(0.496376\pi\) | |||||||
\(480\) | −1.63577 | + | 4.41444i | −0.0746622 | + | 0.201491i | ||||
\(481\) | −25.7594 | − | 14.8722i | −1.17453 | − | 0.678113i | ||||
\(482\) | −3.89246 | − | 4.32261i | −0.177297 | − | 0.196890i | ||||
\(483\) | 19.8394 | + | 9.45367i | 0.902723 | + | 0.430157i | ||||
\(484\) | 0.807517 | − | 7.68976i | 0.0367053 | − | 0.349534i | ||||
\(485\) | 1.04042 | 0.0472430 | ||||||||
\(486\) | −19.0385 | + | 11.1147i | −0.863603 | + | 0.504173i | ||||
\(487\) | − | 8.93817i | − | 0.405027i | −0.979279 | − | 0.202514i | \(-0.935089\pi\) | ||
0.979279 | − | 0.202514i | \(-0.0649110\pi\) | |||||||
\(488\) | 28.4124 | + | 12.6454i | 1.28617 | + | 0.572428i | ||||
\(489\) | −26.6316 | + | 22.0745i | −1.20432 | + | 0.998243i | ||||
\(490\) | −4.75436 | + | 0.144137i | −0.214780 | + | 0.00651146i | ||||
\(491\) | −8.03087 | − | 4.63662i | −0.362428 | − | 0.209248i | 0.307717 | − | 0.951478i | \(-0.400435\pi\) |
−0.670145 | + | 0.742230i | \(0.733768\pi\) | |||||||
\(492\) | 22.4577 | + | 33.7248i | 1.01247 | + | 1.52043i | ||||
\(493\) | −5.95475 | + | 3.43798i | −0.268189 | + | 0.154839i | ||||
\(494\) | −11.6337 | + | 35.8104i | −0.523425 | + | 1.61119i | ||||
\(495\) | −0.714194 | + | 3.78322i | −0.0321007 | + | 0.170043i | ||||
\(496\) | 7.77675 | + | 23.9195i | 0.349186 | + | 1.07402i | ||||
\(497\) | −0.430058 | − | 0.302621i | −0.0192908 | − | 0.0135744i | ||||
\(498\) | 24.6927 | + | 3.62104i | 1.10651 | + | 0.162262i | ||||
\(499\) | 15.0365 | + | 8.68131i | 0.673125 | + | 0.388629i | 0.797260 | − | 0.603636i | \(-0.206282\pi\) |
−0.124135 | + | 0.992265i | \(0.539615\pi\) | |||||||
\(500\) | −3.81915 | − | 8.57585i | −0.170798 | − | 0.383524i | ||||
\(501\) | 37.4795 | − | 6.37605i | 1.67446 | − | 0.284861i | ||||
\(502\) | −0.975855 | − | 4.59000i | −0.0435545 | − | 0.204862i | ||||
\(503\) | 6.23388 | 0.277955 | 0.138978 | − | 0.990296i | \(-0.455618\pi\) | ||||
0.138978 | + | 0.990296i | \(0.455618\pi\) | |||||||
\(504\) | −3.82724 | + | 22.1213i | −0.170479 | + | 0.985361i | ||||
\(505\) | 2.49856 | 0.111184 | ||||||||
\(506\) | −3.76708 | − | 17.7187i | −0.167467 | − | 0.787694i | ||||
\(507\) | 16.3447 | − | 44.0786i | 0.725895 | − | 1.95760i | ||||
\(508\) | 1.18667 | + | 2.66465i | 0.0526500 | + | 0.118225i | ||||
\(509\) | −3.52873 | − | 2.03731i | −0.156408 | − | 0.0903023i | 0.419753 | − | 0.907638i | \(-0.362117\pi\) |
−0.576161 | + | 0.817336i | \(0.695450\pi\) | |||||||
\(510\) | −1.02944 | − | 2.59249i | −0.0455846 | − | 0.114797i | ||||
\(511\) | 10.4929 | + | 7.38356i | 0.464177 | + | 0.326629i | ||||
\(512\) | 21.5171 | − | 7.00109i | 0.950930 | − | 0.309408i | ||||
\(513\) | −19.1044 | + | 10.5742i | −0.843478 | + | 0.466861i | ||||
\(514\) | 7.54290 | − | 23.2183i | 0.332703 | − | 1.02411i | ||||
\(515\) | 0.940746 | − | 0.543140i | 0.0414542 | − | 0.0239336i | ||||
\(516\) | 4.64172 | − | 0.296913i | 0.204340 | − | 0.0130709i | ||||
\(517\) | 17.2501 | + | 9.95933i | 0.758657 | + | 0.438011i | ||||
\(518\) | −16.1538 | − | 6.90032i | −0.709756 | − | 0.303183i | ||||
\(519\) | 24.8397 | + | 9.21077i | 1.09034 | + | 0.404308i | ||||
\(520\) | 3.50109 | − | 7.86647i | 0.153533 | − | 0.344968i | ||||
\(521\) | 27.2193i | 1.19250i | 0.802798 | + | 0.596251i | \(0.203344\pi\) | ||||
−0.802798 | + | 0.596251i | \(0.796656\pi\) | |||||||
\(522\) | −6.39684 | − | 10.5159i | −0.279982 | − | 0.460270i | ||||
\(523\) | −3.44794 | −0.150768 | −0.0753838 | − | 0.997155i | \(-0.524018\pi\) | ||||
−0.0753838 | + | 0.997155i | \(0.524018\pi\) | |||||||
\(524\) | −2.58766 | + | 24.6415i | −0.113042 | + | 1.07647i | ||||
\(525\) | −12.3856 | − | 18.0065i | −0.540551 | − | 0.785869i | ||||
\(526\) | 12.5070 | + | 13.8891i | 0.545330 | + | 0.605595i | ||||
\(527\) | −12.9062 | − | 7.45141i | −0.562204 | − | 0.324589i | ||||
\(528\) | 16.3893 | − | 8.59191i | 0.713254 | − | 0.373915i | ||||
\(529\) | −0.000637027 | − | 0.00110336i | −2.76968e−5 | − | 4.79723e-5i | ||||
\(530\) | −1.88889 | + | 5.81432i | −0.0820483 | + | 0.252558i | ||||
\(531\) | 0.638988 | + | 0.549432i | 0.0277297 | + | 0.0238433i | ||||
\(532\) | −4.29156 | + | 21.8181i | −0.186063 | + | 0.945937i | ||||
\(533\) | −37.0533 | − | 64.1783i | −1.60496 | − | 2.77987i | ||||
\(534\) | 5.13314 | + | 4.06011i | 0.222133 | + | 0.175698i | ||||
\(535\) | −3.56297 | + | 6.17125i | −0.154041 | + | 0.266806i | ||||
\(536\) | −0.646298 | − | 6.14103i | −0.0279158 | − | 0.265252i | ||||
\(537\) | 14.2642 | − | 11.8234i | 0.615547 | − | 0.510217i | ||||
\(538\) | 38.1237 | − | 8.10525i | 1.64363 | − | 0.349442i | ||||
\(539\) | 14.2665 | + | 12.0844i | 0.614502 | + | 0.520511i | ||||
\(540\) | 4.59742 | − | 1.94861i | 0.197842 | − | 0.0838547i | ||||
\(541\) | 5.99277 | 0.257649 | 0.128825 | − | 0.991667i | \(-0.458880\pi\) | ||||
0.128825 | + | 0.991667i | \(0.458880\pi\) | |||||||
\(542\) | 6.24854 | + | 29.3905i | 0.268398 | + | 1.26243i | ||||
\(543\) | 9.64732 | − | 7.99651i | 0.414006 | − | 0.343163i | ||||
\(544\) | −6.70086 | + | 11.6123i | −0.287297 | + | 0.497875i | ||||
\(545\) | 4.55787 | + | 2.63149i | 0.195238 | + | 0.112721i | ||||
\(546\) | 9.56843 | − | 39.9301i | 0.409491 | − | 1.70885i | ||||
\(547\) | −5.72221 | + | 3.30372i | −0.244664 | + | 0.141257i | −0.617319 | − | 0.786713i | \(-0.711781\pi\) |
0.372654 | + | 0.927970i | \(0.378448\pi\) | |||||||
\(548\) | 14.4299 | + | 10.4819i | 0.616414 | + | 0.447765i | ||||
\(549\) | −10.9075 | − | 31.1302i | −0.465520 | − | 1.32861i | ||||
\(550\) | −5.56598 | + | 17.1330i | −0.237334 | + | 0.730553i | ||||
\(551\) | −6.09576 | − | 10.5582i | −0.259688 | − | 0.449793i | ||||
\(552\) | −16.4196 | + | 16.8038i | −0.698863 | + | 0.715217i | ||||
\(553\) | 0.935116 | − | 10.4099i | 0.0397652 | − | 0.442675i | ||||
\(554\) | −15.2610 | + | 13.7423i | −0.648377 | + | 0.583855i | ||||
\(555\) | 0.655249 | + | 3.85167i | 0.0278138 | + | 0.163494i | ||||
\(556\) | −0.574601 | + | 5.47176i | −0.0243685 | + | 0.232055i | ||||
\(557\) | 6.08351 | 0.257767 | 0.128883 | − | 0.991660i | \(-0.458861\pi\) | ||||
0.128883 | + | 0.991660i | \(0.458861\pi\) | |||||||
\(558\) | 12.8063 | − | 23.4029i | 0.542133 | − | 0.990725i | ||||
\(559\) | −8.50697 | −0.359806 | ||||||||
\(560\) | 1.49710 | − | 4.85958i | 0.0632640 | − | 0.205355i | ||||
\(561\) | −3.81205 | + | 10.2804i | −0.160945 | + | 0.434037i | ||||
\(562\) | −13.3603 | + | 12.0308i | −0.563571 | + | 0.507488i | ||||
\(563\) | −13.1561 | + | 22.7871i | −0.554465 | + | 0.960361i | 0.443480 | + | 0.896284i | \(0.353744\pi\) |
−0.997945 | + | 0.0640767i | \(0.979590\pi\) | |||||||
\(564\) | −1.64910 | − | 25.7809i | −0.0694398 | − | 1.08557i | ||||
\(565\) | 3.93459 | − | 2.27164i | 0.165530 | − | 0.0955686i | ||||
\(566\) | −28.0496 | − | 9.11244i | −1.17901 | − | 0.383024i | ||||
\(567\) | 19.8595 | − | 13.1378i | 0.834020 | − | 0.551734i | ||||
\(568\) | 0.454759 | − | 0.330497i | 0.0190813 | − | 0.0138673i | ||||
\(569\) | −0.683478 | − | 1.18382i | −0.0286529 | − | 0.0496283i | 0.851343 | − | 0.524609i | \(-0.175788\pi\) |
−0.879996 | + | 0.474981i | \(0.842455\pi\) | |||||||
\(570\) | 4.59666 | − | 1.82527i | 0.192533 | − | 0.0764523i | ||||
\(571\) | −14.6500 | − | 8.45818i | −0.613083 | − | 0.353964i | 0.161088 | − | 0.986940i | \(-0.448500\pi\) |
−0.774171 | + | 0.632976i | \(0.781833\pi\) | |||||||
\(572\) | −30.9178 | + | 13.7689i | −1.29274 | + | 0.575705i | ||||
\(573\) | 32.3660 | + | 12.0016i | 1.35211 | + | 0.501375i | ||||
\(574\) | −26.2585 | − | 35.0117i | −1.09601 | − | 1.46136i | ||||
\(575\) | − | 22.8713i | − | 0.953801i | ||||||
\(576\) | −21.0566 | − | 11.5161i | −0.877358 | − | 0.479837i | ||||
\(577\) | 0.277722i | 0.0115617i | 0.999983 | + | 0.00578087i | \(0.00184012\pi\) | ||||
−0.999983 | + | 0.00578087i | \(0.998160\pi\) | |||||||
\(578\) | 3.34764 | + | 15.7459i | 0.139244 | + | 0.654943i | ||||
\(579\) | −24.3450 | + | 4.14159i | −1.01174 | + | 0.172119i | ||||
\(580\) | 1.13419 | + | 2.54681i | 0.0470948 | + | 0.105751i | ||||
\(581\) | −26.8483 | − | 2.41176i | −1.11386 | − | 0.100057i | ||||
\(582\) | −0.769572 | + | 5.24790i | −0.0318998 | + | 0.217532i | ||||
\(583\) | 20.8108 | − | 12.0151i | 0.861896 | − | 0.497616i | ||||
\(584\) | −11.0955 | + | 8.06369i | −0.459136 | + | 0.333678i | ||||
\(585\) | −8.61896 | + | 3.01993i | −0.356350 | + | 0.124859i | ||||
\(586\) | 2.93047 | − | 9.02046i | 0.121057 | − | 0.372632i | ||||
\(587\) | 13.6979 | + | 23.7254i | 0.565372 | + | 0.979253i | 0.997015 | + | 0.0772082i | \(0.0246006\pi\) |
−0.431643 | + | 0.902044i | \(0.642066\pi\) | |||||||
\(588\) | 2.78965 | − | 24.0877i | 0.115043 | − | 0.993360i | ||||
\(589\) | 13.2118 | − | 22.8836i | 0.544385 | − | 0.942902i | ||||
\(590\) | −0.127729 | − | 0.141845i | −0.00525852 | − | 0.00583965i | ||||
\(591\) | −13.2104 | − | 15.9376i | −0.543404 | − | 0.655586i | ||||
\(592\) | 12.5628 | − | 13.9576i | 0.516330 | − | 0.573653i | ||||
\(593\) | 32.0154i | 1.31471i | 0.753579 | + | 0.657357i | \(0.228326\pi\) | ||||
−0.753579 | + | 0.657357i | \(0.771674\pi\) | |||||||
\(594\) | −18.5544 | − | 6.40077i | −0.761296 | − | 0.262627i | ||||
\(595\) | 1.26696 | + | 2.73356i | 0.0519403 | + | 0.112065i | ||||
\(596\) | 0.0318575 | − | 0.303370i | 0.00130494 | − | 0.0124265i | ||||
\(597\) | 24.2635 | + | 29.2725i | 0.993038 | + | 1.19804i | ||||
\(598\) | 31.9317 | − | 28.7541i | 1.30578 | − | 1.17584i | ||||
\(599\) | 15.8709 | + | 9.16306i | 0.648467 | + | 0.374392i | 0.787869 | − | 0.615843i | \(-0.211185\pi\) |
−0.139402 | + | 0.990236i | \(0.544518\pi\) | |||||||
\(600\) | 22.4964 | − | 6.30760i | 0.918410 | − | 0.257507i | ||||
\(601\) | 19.1583 | − | 11.0611i | 0.781485 | − | 0.451190i | −0.0554716 | − | 0.998460i | \(-0.517666\pi\) |
0.836956 | + | 0.547270i | \(0.184333\pi\) | |||||||
\(602\) | −4.98781 | + | 0.600902i | −0.203288 | + | 0.0244910i | ||||
\(603\) | −4.27010 | + | 4.96612i | −0.173892 | + | 0.202236i | ||||
\(604\) | 14.7773 | − | 20.3431i | 0.601279 | − | 0.827748i | ||||
\(605\) | 1.60869 | − | 0.928780i | 0.0654027 | − | 0.0377603i | ||||
\(606\) | −1.84812 | + | 12.6028i | −0.0750747 | + | 0.511953i | ||||
\(607\) | 7.92507 | − | 13.7266i | 0.321669 | − | 0.557146i | −0.659164 | − | 0.751999i | \(-0.729090\pi\) |
0.980832 | + | 0.194853i | \(0.0624230\pi\) | |||||||
\(608\) | −20.5894 | − | 11.8811i | −0.835012 | − | 0.481840i | ||||
\(609\) | 7.53448 | + | 10.9538i | 0.305313 | + | 0.443872i | ||||
\(610\) | 1.55372 | + | 7.30802i | 0.0629082 | + | 0.295893i | ||||
\(611\) | 47.2491i | 1.91150i | ||||||||
\(612\) | 13.8380 | − | 3.27494i | 0.559369 | − | 0.132382i | ||||
\(613\) | 24.5067 | 0.989818 | 0.494909 | − | 0.868945i | \(-0.335201\pi\) | ||||
0.494909 | + | 0.868945i | \(0.335201\pi\) | |||||||
\(614\) | 3.55243 | + | 16.7091i | 0.143365 | + | 0.674326i | ||||
\(615\) | −3.38432 | + | 9.12686i | −0.136469 | + | 0.368030i | ||||
\(616\) | −17.1551 | + | 10.2569i | −0.691201 | + | 0.413262i | ||||
\(617\) | −15.9608 | + | 27.6449i | −0.642557 | + | 1.11294i | 0.342303 | + | 0.939590i | \(0.388793\pi\) |
−0.984860 | + | 0.173352i | \(0.944540\pi\) | |||||||
\(618\) | 2.04376 | + | 5.14689i | 0.0822122 | + | 0.207038i | ||||
\(619\) | −0.227459 | − | 0.393971i | −0.00914236 | − | 0.0158350i | 0.861418 | − | 0.507897i | \(-0.169577\pi\) |
−0.870560 | + | 0.492062i | \(0.836243\pi\) | |||||||
\(620\) | −3.55128 | + | 4.88885i | −0.142623 | + | 0.196341i | ||||
\(621\) | 24.9151 | + | 0.450415i | 0.999809 | + | 0.0180745i | ||||
\(622\) | −2.72192 | − | 0.884267i | −0.109139 | − | 0.0354559i | ||||
\(623\) | −5.78126 | − | 4.06812i | −0.231621 | − | 0.162986i | ||||
\(624\) | 37.0890 | + | 23.4782i | 1.48475 | + | 0.939880i | ||||
\(625\) | −10.7952 | + | 18.6978i | −0.431807 | + | 0.747911i | ||||
\(626\) | 18.3948 | + | 20.4277i | 0.735206 | + | 0.816454i | ||||
\(627\) | −18.2277 | − | 6.75901i | −0.727946 | − | 0.269929i | ||||
\(628\) | −22.8787 | − | 2.40253i | −0.912958 | − | 0.0958716i | ||||
\(629\) | 11.1266i | 0.443646i | ||||||||
\(630\) | −4.84016 | + | 2.37946i | −0.192836 | + | 0.0947999i | ||||
\(631\) | 28.8331i | 1.14783i | 0.818916 | + | 0.573913i | \(0.194575\pi\) | ||||
−0.818916 | + | 0.573913i | \(0.805425\pi\) | |||||||
\(632\) | 10.2081 | + | 4.54327i | 0.406057 | + | 0.180722i | ||||
\(633\) | −2.99311 | − | 17.5940i | −0.118966 | − | 0.699301i | ||||
\(634\) | 10.9680 | − | 9.87654i | 0.435595 | − | 0.392248i | ||||
\(635\) | −0.350386 | + | 0.606887i | −0.0139046 | + | 0.0240836i | ||||
\(636\) | −27.9304 | − | 13.8283i | −1.10751 | − | 0.548329i | ||||
\(637\) | −7.90415 | + | 43.6404i | −0.313174 | + | 1.72910i | ||||
\(638\) | 3.38593 | − | 10.4225i | 0.134050 | − | 0.412629i | ||||
\(639\) | −0.585921 | − | 0.110610i | −0.0231787 | − | 0.00437566i | ||||
\(640\) | 4.39888 | + | 3.19383i | 0.173881 | + | 0.126247i | ||||
\(641\) | 3.90266 | + | 6.75961i | 0.154146 | + | 0.266989i | 0.932748 | − | 0.360530i | \(-0.117404\pi\) |
−0.778602 | + | 0.627518i | \(0.784071\pi\) | |||||||
\(642\) | −28.4925 | − | 22.5364i | −1.12451 | − | 0.889442i | ||||
\(643\) | 2.26137 | − | 3.91681i | 0.0891797 | − | 0.154464i | −0.817985 | − | 0.575240i | \(-0.804909\pi\) |
0.907165 | + | 0.420776i | \(0.138242\pi\) | |||||||
\(644\) | 16.6911 | − | 19.1147i | 0.657723 | − | 0.753223i | ||||
\(645\) | 0.713089 | + | 0.860301i | 0.0280779 | + | 0.0338743i | ||||
\(646\) | 13.7770 | − | 2.92904i | 0.542048 | − | 0.115242i | ||||
\(647\) | 32.4931 | 1.27744 | 0.638718 | − | 0.769441i | \(-0.279465\pi\) | ||||
0.638718 | + | 0.769441i | \(0.279465\pi\) | |||||||
\(648\) | 6.42822 | + | 24.6308i | 0.252524 | + | 0.967591i | ||||
\(649\) | 0.750290i | 0.0294515i | ||||||||
\(650\) | −41.7979 | + | 8.88641i | −1.63945 | + | 0.348554i | ||||
\(651\) | −12.3954 | + | 26.0129i | −0.485814 | + | 1.01952i | ||||
\(652\) | 16.2492 | + | 36.4874i | 0.636369 | + | 1.42896i | ||||
\(653\) | 3.99865 | − | 6.92587i | 0.156479 | − | 0.271030i | −0.777117 | − | 0.629356i | \(-0.783319\pi\) |
0.933597 | + | 0.358325i | \(0.116652\pi\) | |||||||
\(654\) | −16.6446 | + | 21.0436i | −0.650857 | + | 0.822869i | ||||
\(655\) | −5.15500 | + | 2.97624i | −0.201422 | + | 0.116291i | ||||
\(656\) | 44.4937 | − | 14.4658i | 1.73719 | − | 0.564796i | ||||
\(657\) | 14.2957 | + | 2.69874i | 0.557729 | + | 0.105288i | ||||
\(658\) | 3.33751 | + | 27.7031i | 0.130110 | + | 1.07998i | ||||
\(659\) | −6.89888 | + | 3.98307i | −0.268742 | + | 0.155158i | −0.628316 | − | 0.777958i | \(-0.716255\pi\) |
0.359574 | + | 0.933117i | \(0.382922\pi\) | |||||||
\(660\) | 3.98409 | + | 1.97252i | 0.155080 | + | 0.0767803i | ||||
\(661\) | 0.220771 | + | 0.127462i | 0.00858700 | + | 0.00495771i | 0.504287 | − | 0.863536i | \(-0.331755\pi\) |
−0.495700 | + | 0.868494i | \(0.665089\pi\) | |||||||
\(662\) | −34.1755 | − | 37.9523i | −1.32827 | − | 1.47506i | ||||
\(663\) | −25.6402 | + | 4.36194i | −0.995784 | + | 0.169404i | ||||
\(664\) | 11.7176 | − | 26.3278i | 0.454731 | − | 1.02172i | ||||
\(665\) | −4.84679 | + | 2.24641i | −0.187950 | + | 0.0871119i | ||||
\(666\) | −19.9126 | + | 0.456108i | −0.771597 | + | 0.0176738i | ||||
\(667\) | 13.9132i | 0.538723i | ||||||||
\(668\) | 4.58476 | − | 43.6594i | 0.177390 | − | 1.68923i | ||||
\(669\) | −8.71170 | + | 23.4938i | −0.336814 | + | 0.908321i | ||||
\(670\) | 1.10239 | − | 0.992692i | 0.0425892 | − | 0.0383510i | ||||
\(671\) | 14.6839 | − | 25.4333i | 0.566867 | − | 0.981842i | ||||
\(672\) | 23.4045 | + | 11.1459i | 0.902847 | + | 0.429963i | ||||
\(673\) | −0.198313 | − | 0.343488i | −0.00764441 | − | 0.0132405i | 0.862178 | − | 0.506606i | \(-0.169100\pi\) |
−0.869822 | + | 0.493365i | \(0.835767\pi\) | |||||||
\(674\) | 9.96762 | + | 3.23817i | 0.383938 | + | 0.124730i | ||||
\(675\) | −21.2336 | − | 12.7765i | −0.817283 | − | 0.491766i | ||||
\(676\) | −43.9197 | − | 31.9034i | −1.68922 | − | 1.22705i | ||||
\(677\) | −43.1462 | + | 24.9105i | −1.65824 | + | 0.957388i | −0.684720 | + | 0.728806i | \(0.740076\pi\) |
−0.973525 | + | 0.228582i | \(0.926591\pi\) | |||||||
\(678\) | 8.54787 | + | 21.5264i | 0.328279 | + | 0.826718i | ||||
\(679\) | 0.512568 | − | 5.70602i | 0.0196706 | − | 0.218977i | ||||
\(680\) | −3.20323 | + | 0.337117i | −0.122838 | + | 0.0129278i | ||||
\(681\) | 11.6540 | − | 31.4286i | 0.446583 | − | 1.20435i | ||||
\(682\) | 23.2323 | − | 4.93929i | 0.889612 | − | 0.189135i | ||||
\(683\) | 28.4508i | 1.08864i | 0.838878 | + | 0.544320i | \(0.183212\pi\) | ||||
−0.838878 | + | 0.544320i | \(0.816788\pi\) | |||||||
\(684\) | 5.80668 | + | 24.5357i | 0.222024 | + | 0.938148i | ||||
\(685\) | 4.28474i | 0.163712i | ||||||||
\(686\) | −1.55176 | + | 26.1456i | −0.0592465 | + | 0.998243i | ||||
\(687\) | −5.72215 | − | 33.6358i | −0.218314 | − | 1.28329i | ||||
\(688\) | 1.11568 | − | 5.25359i | 0.0425350 | − | 0.200291i | ||||
\(689\) | 49.3654 | + | 28.5011i | 1.88067 | + | 1.08581i | ||||
\(690\) | −5.58452 | − | 0.818936i | −0.212599 | − | 0.0311764i | ||||
\(691\) | −6.08340 | − | 10.5368i | −0.231423 | − | 0.400837i | 0.726804 | − | 0.686845i | \(-0.241005\pi\) |
−0.958227 | + | 0.286008i | \(0.907672\pi\) | |||||||
\(692\) | 17.9786 | − | 24.7501i | 0.683443 | − | 0.940859i | ||||
\(693\) | 20.3967 | + | 5.78072i | 0.774805 | + | 0.219591i | ||||
\(694\) | 12.5471 | − | 38.6219i | 0.476281 | − | 1.46607i | ||||
\(695\) | −1.14469 | + | 0.660887i | −0.0434206 | + | 0.0250689i | ||||
\(696\) | −13.6851 | + | 3.83708i | −0.518733 | + | 0.145444i | ||||
\(697\) | −13.8607 | + | 24.0074i | −0.525011 | + | 0.909345i | ||||
\(698\) | −0.813827 | − | 0.903764i | −0.0308038 | − | 0.0342080i | ||||
\(699\) | −8.12202 | − | 9.79875i | −0.307203 | − | 0.370623i | ||||
\(700\) | −23.8793 | + | 8.16275i | −0.902552 | + | 0.308523i | ||||
\(701\) | −9.67651 | −0.365477 | −0.182738 | − | 0.983162i | \(-0.558496\pi\) | ||||
−0.182738 | + | 0.983162i | \(0.558496\pi\) | |||||||
\(702\) | −8.85736 | − | 45.7080i | −0.334299 | − | 1.72514i | ||||
\(703\) | −19.7282 | −0.744062 | ||||||||
\(704\) | −4.44830 | − | 20.8995i | −0.167652 | − | 0.787678i | ||||
\(705\) | 4.77826 | − | 3.96062i | 0.179960 | − | 0.149166i | ||||
\(706\) | 30.2863 | + | 33.6333i | 1.13984 | + | 1.26581i | ||||
\(707\) | 1.23093 | − | 13.7030i | 0.0462938 | − | 0.515353i | ||||
\(708\) | 0.809945 | − | 0.539350i | 0.0304396 | − | 0.0202700i | ||||
\(709\) | −22.5400 | − | 39.0404i | −0.846507 | − | 1.46619i | −0.884306 | − | 0.466907i | \(-0.845368\pi\) |
0.0377999 | − | 0.999285i | \(-0.487965\pi\) | |||||||
\(710\) | 0.128448 | + | 0.0417289i | 0.00482058 | + | 0.00156606i | ||||
\(711\) | −3.91888 | − | 11.1846i | −0.146970 | − | 0.419455i | ||||
\(712\) | 6.11331 | − | 4.44286i | 0.229106 | − | 0.166503i | ||||
\(713\) | −26.1153 | + | 15.0776i | −0.978024 | + | 0.564662i | ||||
\(714\) | −14.7253 | + | 4.36863i | −0.551080 | + | 0.163492i | ||||
\(715\) | −7.04166 | − | 4.06550i | −0.263343 | − | 0.152041i | ||||
\(716\) | −8.70330 | − | 19.5431i | −0.325258 | − | 0.730361i | ||||
\(717\) | −2.79947 | − | 16.4558i | −0.104548 | − | 0.614553i | ||||
\(718\) | −7.63805 | + | 1.62388i | −0.285050 | + | 0.0606028i | ||||
\(719\) | −12.1609 | −0.453526 | −0.226763 | − | 0.973950i | \(-0.572814\pi\) | ||||
−0.226763 | + | 0.973950i | \(0.572814\pi\) | |||||||
\(720\) | −0.734626 | − | 5.71881i | −0.0273779 | − | 0.213128i | ||||
\(721\) | −2.51531 | − | 5.42696i | −0.0936749 | − | 0.202111i | ||||
\(722\) | −0.394412 | − | 1.85515i | −0.0146785 | − | 0.0690414i | ||||
\(723\) | 6.67976 | + | 2.47691i | 0.248423 | + | 0.0921174i | ||||
\(724\) | −5.88630 | − | 13.2176i | −0.218762 | − | 0.491228i | ||||
\(725\) | 6.91809 | − | 11.9825i | 0.256931 | − | 0.445018i | ||||
\(726\) | 3.49487 | + | 8.80128i | 0.129707 | + | 0.326646i | ||||
\(727\) | 8.39590 | + | 14.5421i | 0.311387 | + | 0.539337i | 0.978663 | − | 0.205473i | \(-0.0658733\pi\) |
−0.667276 | + | 0.744810i | \(0.732540\pi\) | |||||||
\(728\) | −41.4177 | − | 23.0767i | −1.53504 | − | 0.855278i | ||||
\(729\) | 14.3363 | − | 22.8795i | 0.530975 | − | 0.847387i | ||||
\(730\) | −3.13397 | − | 1.01813i | −0.115993 | − | 0.0376827i | ||||
\(731\) | 1.59112 | + | 2.75589i | 0.0588496 | + | 0.101930i | ||||
\(732\) | −38.0111 | + | 2.43142i | −1.40493 | + | 0.0898679i | ||||
\(733\) | −18.4832 | − | 10.6713i | −0.682693 | − | 0.394153i | 0.118176 | − | 0.992993i | \(-0.462295\pi\) |
−0.800869 | + | 0.598840i | \(0.795629\pi\) | |||||||
\(734\) | 24.1220 | − | 21.7215i | 0.890359 | − | 0.801756i | ||||
\(735\) | 5.07587 | − | 2.85878i | 0.187226 | − | 0.105448i | ||||
\(736\) | 13.5696 | + | 23.4909i | 0.500184 | + | 0.865887i | ||||
\(737\) | −5.83114 | −0.214793 | ||||||||
\(738\) | −43.5328 | − | 23.8215i | −1.60246 | − | 0.876881i | ||||
\(739\) | 50.5558i | 1.85973i | 0.367907 | + | 0.929863i | \(0.380074\pi\) | ||||
−0.367907 | + | 0.929863i | \(0.619926\pi\) | |||||||
\(740\) | 4.48675 | + | 0.471163i | 0.164936 | + | 0.0173203i | ||||
\(741\) | −7.73400 | − | 45.4618i | −0.284116 | − | 1.67008i | ||||
\(742\) | 30.9572 | + | 13.2238i | 1.13647 | + | 0.485461i | ||||
\(743\) | 32.1395 | + | 18.5558i | 1.17909 | + | 0.680745i | 0.955803 | − | 0.294009i | \(-0.0949895\pi\) |
0.223282 | + | 0.974754i | \(0.428323\pi\) | |||||||
\(744\) | −22.0327 | − | 21.5289i | −0.807757 | − | 0.789287i | ||||
\(745\) | 0.0634650 | − | 0.0366415i | 0.00232518 | − | 0.00134244i | ||||
\(746\) | −38.3835 | − | 12.4696i | −1.40532 | − | 0.456545i | ||||
\(747\) | −28.8463 | + | 10.1072i | −1.05543 | + | 0.369804i | ||||
\(748\) | 10.2433 | + | 7.44075i | 0.374532 | + | 0.272061i | ||||
\(749\) | 32.0900 | + | 22.5809i | 1.17254 | + | 0.825088i | ||||
\(750\) | 9.01781 | + | 7.13273i | 0.329284 | + | 0.260451i | ||||
\(751\) | −37.8228 | − | 21.8370i | −1.38017 | − | 0.796843i | −0.387993 | − | 0.921662i | \(-0.626832\pi\) |
−0.992180 | + | 0.124819i | \(0.960165\pi\) | |||||||
\(752\) | −29.1793 | − | 6.19669i | −1.06406 | − | 0.225970i | ||||
\(753\) | 3.66765 | + | 4.42481i | 0.133657 | + | 0.161249i | ||||
\(754\) | 25.4268 | − | 5.40584i | 0.925988 | − | 0.196869i | ||||
\(755\) | 6.04058 | 0.219839 | ||||||||
\(756\) | −8.42190 | − | 26.1739i | −0.306302 | − | 0.951935i | ||||
\(757\) | −53.5207 | −1.94524 | −0.972622 | − | 0.232392i | \(-0.925345\pi\) | ||||
−0.972622 | + | 0.232392i | \(0.925345\pi\) | |||||||
\(758\) | 18.5281 | − | 3.93916i | 0.672972 | − | 0.143077i | ||||
\(759\) | 14.1582 | + | 17.0811i | 0.513910 | + | 0.620003i | ||||
\(760\) | −0.597730 | − | 5.67954i | −0.0216820 | − | 0.206019i | ||||
\(761\) | 19.6964 | + | 11.3717i | 0.713994 | + | 0.412225i | 0.812538 | − | 0.582908i | \(-0.198085\pi\) |
−0.0985439 | + | 0.995133i | \(0.531418\pi\) | |||||||
\(762\) | −2.80198 | − | 2.21625i | −0.101505 | − | 0.0802864i | ||||
\(763\) | 16.6775 | − | 23.7006i | 0.603765 | − | 0.858018i | ||||
\(764\) | 23.4260 | − | 32.2493i | 0.847524 | − | 1.16674i | ||||
\(765\) | 2.59039 | + | 2.22734i | 0.0936558 | + | 0.0805295i | ||||
\(766\) | 30.1096 | + | 9.78170i | 1.08791 | + | 0.353427i | ||||
\(767\) | −1.54132 | + | 0.889883i | −0.0556540 | + | 0.0321318i | ||||
\(768\) | −19.3635 | + | 19.8256i | −0.698719 | + | 0.715396i | ||||
\(769\) | −9.86460 | − | 5.69533i | −0.355726 | − | 0.205379i | 0.311478 | − | 0.950253i | \(-0.399176\pi\) |
−0.667204 | + | 0.744875i | \(0.732509\pi\) | |||||||
\(770\) | −4.41584 | − | 1.88629i | −0.159136 | − | 0.0679772i | ||||
\(771\) | 5.01447 | + | 29.4759i | 0.180592 | + | 1.06155i | ||||
\(772\) | −2.97805 | + | 28.3591i | −0.107182 | + | 1.02067i | ||||
\(773\) | 30.6663i | 1.10299i | 0.834178 | + | 0.551495i | \(0.185942\pi\) | ||||
−0.834178 | + | 0.551495i | \(0.814058\pi\) | |||||||
\(774\) | −4.86683 | + | 2.96050i | −0.174935 | + | 0.106413i | ||||
\(775\) | 29.9883 | 1.07721 | ||||||||
\(776\) | 5.59540 | + | 2.49032i | 0.200863 | + | 0.0893972i | ||||
\(777\) | 21.4467 | − | 1.69607i | 0.769397 | − | 0.0608462i | ||||
\(778\) | −28.4392 | + | 25.6092i | −1.01960 | + | 0.918133i | ||||
\(779\) | −42.5667 | − | 24.5759i | −1.52511 | − | 0.880523i | ||||
\(780\) | 0.673182 | + | 10.5240i | 0.0241038 | + | 0.376821i | ||||
\(781\) | −0.265435 | − | 0.459746i | −0.00949800 | − | 0.0164510i | ||||
\(782\) | −15.2875 | − | 4.96644i | −0.546680 | − | 0.177600i | ||||
\(783\) | 12.9170 | + | 7.77226i | 0.461615 | + | 0.277758i | ||||
\(784\) | −25.9141 | − | 10.6047i | −0.925503 | − | 0.378740i | ||||
\(785\) | −2.76332 | − | 4.78621i | −0.0986271 | − | 0.170827i | ||||
\(786\) | −11.1992 | − | 28.2034i | −0.399462 | − | 1.00598i | ||||
\(787\) | −9.75700 | + | 16.8996i | −0.347799 | + | 0.602406i | −0.985858 | − | 0.167581i | \(-0.946404\pi\) |
0.638059 | + | 0.769988i | \(0.279738\pi\) | |||||||
\(788\) | −21.8358 | + | 9.72431i | −0.777868 | + | 0.346414i | ||||
\(789\) | −21.4629 | − | 7.95865i | −0.764101 | − | 0.283335i | ||||
\(790\) | 0.558226 | + | 2.62566i | 0.0198608 | + | 0.0934166i | ||||
\(791\) | −10.5201 | − | 22.6978i | −0.374050 | − | 0.807042i | ||||
\(792\) | −12.8964 | + | 18.6368i | −0.458252 | + | 0.662230i | ||||
\(793\) | 69.6636 | 2.47383 | ||||||||
\(794\) | −16.1372 | + | 3.43084i | −0.572688 | + | 0.121756i | ||||
\(795\) | −1.25572 | − | 7.38136i | −0.0445359 | − | 0.261790i | ||||
\(796\) | 40.1056 | − | 17.8606i | 1.42151 | − | 0.633051i | ||||
\(797\) | −25.9632 | − | 14.9898i | −0.919663 | − | 0.530968i | −0.0361355 | − | 0.999347i | \(-0.511505\pi\) |
−0.883528 | + | 0.468379i | \(0.844838\pi\) | |||||||
\(798\) | −7.74587 | − | 26.1089i | −0.274201 | − | 0.924245i | ||||
\(799\) | 15.3067 | − | 8.83733i | 0.541512 | − | 0.312642i | ||||
\(800\) | −0.00615553 | − | 26.9783i | −0.000217631 | − | 0.953827i | ||||
\(801\) | −7.87652 | − | 1.48692i | −0.278303 | − | 0.0525379i | ||||
\(802\) | −22.4205 | − | 7.28372i | −0.791694 | − | 0.257197i | ||||
\(803\) | 6.47626 | + | 11.2172i | 0.228542 | + | 0.395847i | ||||
\(804\) | 4.19174 | + | 6.29477i | 0.147831 | + | 0.221999i | ||||
\(805\) | 6.07204 | + | 0.545446i | 0.214011 | + | 0.0192245i | ||||
\(806\) | 37.7016 | + | 41.8680i | 1.32798 | + | 1.47474i | ||||
\(807\) | −36.7516 | + | 30.4628i | −1.29372 | + | 1.07234i | ||||
\(808\) | 13.4373 | + | 5.98047i | 0.472723 | + | 0.210392i | ||||
\(809\) | −54.5869 | −1.91917 | −0.959586 | − | 0.281415i | \(-0.909196\pi\) | ||||
−0.959586 | + | 0.281415i | \(0.909196\pi\) | |||||||
\(810\) | −3.87994 | + | 4.72717i | −0.136327 | + | 0.166096i | ||||
\(811\) | −17.5107 | −0.614883 | −0.307442 | − | 0.951567i | \(-0.599473\pi\) | ||||
−0.307442 | + | 0.951567i | \(0.599473\pi\) | |||||||
\(812\) | 14.5264 | − | 4.96561i | 0.509776 | − | 0.174259i | ||||
\(813\) | −23.4845 | − | 28.3327i | −0.823639 | − | 0.993672i | ||||
\(814\) | −11.8664 | − | 13.1778i | −0.415917 | − | 0.461880i | ||||
\(815\) | −4.79788 | + | 8.31016i | −0.168062 | + | 0.291092i | ||||
\(816\) | 0.668927 | − | 16.4065i | 0.0234171 | − | 0.574344i | ||||
\(817\) | −4.88638 | + | 2.82115i | −0.170953 | + | 0.0986997i | ||||
\(818\) | −0.297323 | + | 0.915209i | −0.0103957 | + | 0.0319995i | ||||
\(819\) | 12.3162 | + | 48.7572i | 0.430362 | + | 1.70371i | ||||
\(820\) | 9.09395 | + | 6.60587i | 0.317575 | + | 0.230687i | ||||
\(821\) | −9.47071 | − | 16.4037i | −0.330530 | − | 0.572495i | 0.652086 | − | 0.758145i | \(-0.273894\pi\) |
−0.982616 | + | 0.185650i | \(0.940561\pi\) | |||||||
\(822\) | −21.6123 | − | 3.16932i | −0.753817 | − | 0.110543i | ||||
\(823\) | 8.43975 | + | 4.87269i | 0.294191 | + | 0.169851i | 0.639831 | − | 0.768516i | \(-0.279005\pi\) |
−0.345639 | + | 0.938367i | \(0.612338\pi\) | |||||||
\(824\) | 6.35940 | − | 0.669280i | 0.221540 | − | 0.0233155i | ||||
\(825\) | −3.70023 | − | 21.7506i | −0.128825 | − | 0.757258i | ||||
\(826\) | −0.840852 | + | 0.630631i | −0.0292570 | + | 0.0219425i | ||||
\(827\) | 38.9872i | 1.35572i | 0.735193 | + | 0.677858i | \(0.237092\pi\) | ||||
−0.735193 | + | 0.677858i | \(0.762908\pi\) | |||||||
\(828\) | 8.26146 | − | 27.5627i | 0.287106 | − | 0.957870i | ||||
\(829\) | 8.11853i | 0.281968i | 0.990012 | + | 0.140984i | \(0.0450266\pi\) | ||||
−0.990012 | + | 0.140984i | \(0.954973\pi\) | |||||||
\(830\) | 6.77185 | − | 1.43972i | 0.235054 | − | 0.0499735i | ||||
\(831\) | 8.74475 | − | 23.5829i | 0.303352 | − | 0.818082i | ||||
\(832\) | 37.6579 | − | 33.9260i | 1.30555 | − | 1.17617i | ||||
\(833\) | 15.6160 | − | 5.60176i | 0.541062 | − | 0.194089i | ||||
\(834\) | −2.48683 | − | 6.26269i | −0.0861119 | − | 0.216859i | ||||
\(835\) | 9.13352 | − | 5.27324i | 0.316078 | − | 0.182488i | ||||
\(836\) | −13.1929 | + | 18.1620i | −0.456288 | + | 0.628147i | ||||
\(837\) | −0.590572 | + | 32.6680i | −0.0204132 | + | 1.12917i | ||||
\(838\) | 13.9862 | + | 4.54368i | 0.483144 | + | 0.156959i | ||||
\(839\) | −13.5859 | − | 23.5314i | −0.469036 | − | 0.812394i | 0.530337 | − | 0.847787i | \(-0.322065\pi\) |
−0.999373 | + | 0.0353923i | \(0.988732\pi\) | |||||||
\(840\) | 1.13808 | + | 6.12291i | 0.0392675 | + | 0.211260i | ||||
\(841\) | 10.2915 | − | 17.8255i | 0.354881 | − | 0.614672i | ||||
\(842\) | 7.20454 | − | 6.48759i | 0.248285 | − | 0.223577i | ||||
\(843\) | 7.65563 | − | 20.6458i | 0.263674 | − | 0.711078i | ||||
\(844\) | −20.4950 | − | 2.15223i | −0.705469 | − | 0.0740826i | ||||
\(845\) | − | 13.0413i | − | 0.448635i | ||||||
\(846\) | 16.4431 | + | 27.0312i | 0.565325 | + | 0.929352i | ||||
\(847\) | −4.30122 | − | 9.28021i | −0.147792 | − | 0.318872i | ||||
\(848\) | −24.0755 | + | 26.7484i | −0.826756 | + | 0.918543i | ||||
\(849\) | 35.6093 | − | 6.05789i | 1.22211 | − | 0.207906i | ||||
\(850\) | 10.6966 | + | 11.8787i | 0.366889 | + | 0.407434i | ||||
\(851\) | 19.4979 | + | 11.2571i | 0.668379 | + | 0.385889i | ||||
\(852\) | −0.305491 | + | 0.617030i | −0.0104660 | + | 0.0211391i | ||||
\(853\) | −20.4384 | + | 11.8001i | −0.699797 | + | 0.404028i | −0.807272 | − | 0.590180i | \(-0.799057\pi\) |
0.107475 | + | 0.994208i | \(0.465724\pi\) | |||||||
\(854\) | 40.8452 | − | 4.92079i | 1.39769 | − | 0.168386i | ||||
\(855\) | −3.94921 | + | 4.59293i | −0.135060 | + | 0.157075i | ||||
\(856\) | −33.9331 | + | 24.6609i | −1.15981 | + | 0.842893i | ||||
\(857\) | −13.6342 | + | 7.87173i | −0.465737 | + | 0.268893i | −0.714453 | − | 0.699683i | \(-0.753325\pi\) |
0.248717 | + | 0.968576i | \(0.419991\pi\) | |||||||
\(858\) | 25.7150 | − | 32.5111i | 0.877896 | − | 1.10991i | ||||
\(859\) | 13.3695 | − | 23.1566i | 0.456160 | − | 0.790093i | −0.542594 | − | 0.839995i | \(-0.682558\pi\) |
0.998754 | + | 0.0499024i | \(0.0158910\pi\) | |||||||
\(860\) | 1.17868 | − | 0.524911i | 0.0401927 | − | 0.0178993i | ||||
\(861\) | 48.3876 | + | 23.0572i | 1.64904 | + | 0.785787i | ||||
\(862\) | 21.1052 | − | 4.48706i | 0.718847 | − | 0.152830i | ||||
\(863\) | − | 50.8477i | − | 1.73088i | −0.501015 | − | 0.865438i | \(-0.667040\pi\) | ||
0.501015 | − | 0.865438i | \(-0.332960\pi\) | |||||||
\(864\) | 29.3892 | + | 0.524590i | 0.999841 | + | 0.0178469i | ||||
\(865\) | 7.34919 | 0.249880 | ||||||||
\(866\) | 47.9256 | − | 10.1892i | 1.62858 | − | 0.346243i | ||||
\(867\) | −12.5818 | − | 15.1792i | −0.427300 | − | 0.515513i | ||||
\(868\) | 25.0626 | + | 21.8850i | 0.850681 | + | 0.742824i | ||||
\(869\) | 5.27570 | − | 9.13778i | 0.178966 | − | 0.309978i | ||||
\(870\) | −2.67806 | − | 2.11824i | −0.0907949 | − | 0.0718152i | ||||
\(871\) | −6.91604 | − | 11.9789i | −0.234341 | − | 0.405891i | ||||
\(872\) | 18.2137 | + | 25.0618i | 0.616794 | + | 0.848700i | ||||
\(873\) | −2.14807 | − | 6.13064i | −0.0727011 | − | 0.207491i | ||||
\(874\) | 8.80582 | − | 27.1057i | 0.297861 | − | 0.916866i | ||||
\(875\) | −10.1564 | − | 7.14680i | −0.343349 | − | 0.241606i | ||||
\(876\) | 7.45359 | − | 15.0547i | 0.251834 | − | 0.508652i | ||||
\(877\) | 6.79088 | − | 11.7621i | 0.229312 | − | 0.397179i | −0.728293 | − | 0.685266i | \(-0.759686\pi\) |
0.957604 | + | 0.288087i | \(0.0930192\pi\) | |||||||
\(878\) | −12.8669 | + | 11.5865i | −0.434238 | + | 0.391026i | ||||
\(879\) | 1.94816 | + | 11.4516i | 0.0657097 | + | 0.386253i | ||||
\(880\) | 3.43421 | − | 3.81548i | 0.115767 | − | 0.128620i | ||||
\(881\) | 5.11905i | 0.172465i | 0.996275 | + | 0.0862325i | \(0.0274828\pi\) | ||||
−0.996275 | + | 0.0862325i | \(0.972517\pi\) | |||||||
\(882\) | 10.6653 | + | 27.7174i | 0.359118 | + | 0.933292i | ||||
\(883\) | 36.5196i | 1.22898i | 0.788924 | + | 0.614491i | \(0.210639\pi\) | ||||
−0.788924 | + | 0.614491i | \(0.789361\pi\) | |||||||
\(884\) | −3.13649 | + | 29.8679i | −0.105492 | + | 1.00457i | ||||
\(885\) | 0.219193 | + | 0.0812788i | 0.00736810 | + | 0.00273216i | ||||
\(886\) | 26.4955 | + | 29.4235i | 0.890133 | + | 0.988502i | ||||
\(887\) | −16.1245 | + | 27.9284i | −0.541407 | + | 0.937744i | 0.457417 | + | 0.889252i | \(0.348775\pi\) |
−0.998824 | + | 0.0484917i | \(0.984559\pi\) | |||||||
\(888\) | −5.69529 | + | 22.2828i | −0.191122 | + | 0.747761i | ||||
\(889\) | 3.15576 | + | 2.22063i | 0.105841 | + | 0.0744774i | ||||
\(890\) | 1.72673 | + | 0.560960i | 0.0578800 | + | 0.0188034i | ||||
\(891\) | 23.7671 | − | 3.60253i | 0.796227 | − | 0.120689i | ||||
\(892\) | 23.4091 | + | 17.0044i | 0.783793 | + | 0.569350i | ||||
\(893\) | 15.6692 | + | 27.1398i | 0.524349 | + | 0.908199i | ||||
\(894\) | 0.137877 | + | 0.347221i | 0.00461130 | + | 0.0116128i | ||||
\(895\) | 2.56981 | − | 4.45103i | 0.0858991 | − | 0.148782i | ||||
\(896\) | 19.6832 | − | 22.5515i | 0.657569 | − | 0.753394i | ||||
\(897\) | −18.2973 | + | 49.3443i | −0.610929 | + | 1.64756i | ||||
\(898\) | 7.00739 | + | 32.9598i | 0.233840 | + | 1.09988i | ||||
\(899\) | −18.2427 | −0.608426 | ||||||||
\(900\) | −20.8200 | + | 19.6299i | −0.694001 | + | 0.654331i | ||||
\(901\) | − | 21.3231i | − | 0.710374i | ||||||
\(902\) | −9.18778 | − | 43.2154i | −0.305920 | − | 1.43892i | ||||
\(903\) | 5.06950 | − | 3.48700i | 0.168702 | − | 0.116040i | ||||
\(904\) | 26.5977 | − | 2.79921i | 0.884626 | − | 0.0931003i | ||||
\(905\) | 1.73803 | − | 3.01036i | 0.0577742 | − | 0.100068i | ||||
\(906\) | −4.46807 | + | 30.4688i | −0.148442 | + | 1.01226i | ||||
\(907\) | −24.3819 | + | 14.0769i | −0.809588 | + | 0.467416i | −0.846813 | − | 0.531891i | \(-0.821482\pi\) |
0.0372246 | + | 0.999307i | \(0.488148\pi\) | |||||||
\(908\) | −31.3153 | − | 22.7475i | −1.03924 | − | 0.754904i | ||||
\(909\) | −5.15856 | − | 14.7227i | −0.171099 | − | 0.488320i | ||||
\(910\) | −1.36241 | − | 11.3087i | −0.0451634 | − | 0.374880i | ||||
\(911\) | −33.2831 | + | 19.2160i | −1.10272 | + | 0.636655i | −0.936934 | − | 0.349507i | \(-0.886349\pi\) |
−0.165785 | + | 0.986162i | \(0.553016\pi\) | |||||||
\(912\) | 29.0899 | + | 1.18605i | 0.963262 | + | 0.0392741i | ||||
\(913\) | −23.5673 | − | 13.6066i | −0.779964 | − | 0.450312i | ||||
\(914\) | 25.0330 | − | 22.5419i | 0.828019 | − | 0.745620i | ||||
\(915\) | −5.83949 | − | 7.04501i | −0.193048 | − | 0.232901i | ||||
\(916\) | −39.1819 | − | 4.11456i | −1.29461 | − | 0.135949i | ||||
\(917\) | 13.7831 | + | 29.7381i | 0.455158 | + | 0.982038i | ||||
\(918\) | −13.1508 | + | 11.4185i | −0.434040 | + | 0.376866i | ||||
\(919\) | − | 17.3398i | − | 0.571988i | −0.958231 | − | 0.285994i | \(-0.907676\pi\) | ||
0.958231 | − | 0.285994i | \(-0.0923238\pi\) | |||||||
\(920\) | −2.65006 | + | 5.95432i | −0.0873698 | + | 0.196308i | ||||
\(921\) | −13.3515 | − | 16.1078i | −0.439946 | − | 0.530769i | ||||
\(922\) | 0.347007 | + | 0.385355i | 0.0114281 | + | 0.0126910i | ||||
\(923\) | 0.629639 | − | 1.09057i | 0.0207248 | − | 0.0358964i | ||||
\(924\) | 12.7808 | − | 20.8784i | 0.420457 | − | 0.686848i | ||||
\(925\) | −11.1948 | − | 19.3899i | −0.368081 | − | 0.637536i | ||||
\(926\) | 7.24077 | − | 22.2883i | 0.237946 | − | 0.732438i | ||||
\(927\) | −5.14272 | − | 4.42195i | −0.168909 | − | 0.145236i | ||||
\(928\) | 0.00374457 | + | 16.4116i | 0.000122922 | + | 0.538738i | ||||
\(929\) | 48.7835 | − | 28.1651i | 1.60053 | − | 0.924068i | 0.609153 | − | 0.793053i | \(-0.291510\pi\) |
0.991380 | − | 0.131016i | \(-0.0418238\pi\) | |||||||
\(930\) | 1.07377 | − | 7.32227i | 0.0352102 | − | 0.240107i | ||||
\(931\) | 9.93228 | + | 27.6882i | 0.325517 | + | 0.907444i | ||||
\(932\) | −13.4251 | + | 5.97869i | −0.439753 | + | 0.195839i | ||||
\(933\) | 3.45551 | − | 0.587855i | 0.113128 | − | 0.0192455i | ||||
\(934\) | −7.68949 | − | 36.1681i | −0.251608 | − | 1.18346i | ||||
\(935\) | 3.04160i | 0.0994708i | ||||||||
\(936\) | −53.5814 | − | 4.38882i | −1.75136 | − | 0.143453i | ||||
\(937\) | 36.1315i | 1.18036i | 0.807270 | + | 0.590182i | \(0.200944\pi\) | ||||
−0.807270 | + | 0.590182i | \(0.799056\pi\) | |||||||
\(938\) | −4.90117 | − | 6.53497i | −0.160029 | − | 0.213374i | ||||
\(939\) | −31.5670 | − | 11.7053i | −1.03015 | − | 0.381989i | ||||
\(940\) | −2.91545 | − | 6.54659i | −0.0950914 | − | 0.213526i | ||||
\(941\) | 12.0974 | + | 6.98446i | 0.394365 | + | 0.227687i | 0.684050 | − | 0.729435i | \(-0.260217\pi\) |
−0.289684 | + | 0.957122i | \(0.593550\pi\) | |||||||
\(942\) | 26.1857 | − | 10.3980i | 0.853176 | − | 0.338785i | ||||
\(943\) | 28.0466 | + | 48.5781i | 0.913321 | + | 1.58192i | ||||
\(944\) | −0.347416 | − | 1.06857i | −0.0113074 | − | 0.0347791i | ||||
\(945\) | 3.89837 | − | 5.33255i | 0.126814 | − | 0.173468i | ||||
\(946\) | −4.82357 | − | 1.56703i | −0.156828 | − | 0.0509485i | ||||
\(947\) | −11.0539 | + | 6.38196i | −0.359203 | + | 0.207386i | −0.668731 | − | 0.743505i | \(-0.733162\pi\) |
0.309528 | + | 0.950890i | \(0.399829\pi\) | |||||||
\(948\) | −13.6568 | + | 0.873571i | −0.443551 | + | 0.0283723i | ||||
\(949\) | −15.3624 | + | 26.6084i | −0.498684 | + | 0.863746i | ||||
\(950\) | −21.0616 | + | 18.9657i | −0.683330 | + | 0.615329i | ||||
\(951\) | −6.28481 | + | 16.9489i | −0.203799 | + | 0.549606i | ||||
\(952\) | 0.270777 | + | 17.7337i | 0.00877595 | + | 0.574754i | ||||
\(953\) | −3.91673 | −0.126875 | −0.0634377 | − | 0.997986i | \(-0.520206\pi\) | ||||
−0.0634377 | + | 0.997986i | \(0.520206\pi\) | |||||||
\(954\) | 38.1606 | − | 0.874088i | 1.23549 | − | 0.0282997i | ||||
\(955\) | 9.57597 | 0.309871 | ||||||||
\(956\) | −19.1691 | − | 2.01299i | −0.619973 | − | 0.0651046i | ||||
\(957\) | 2.25095 | + | 13.2315i | 0.0727627 | + | 0.427712i | ||||
\(958\) | −40.0974 | + | 36.1072i | −1.29549 | + | 1.16657i | ||||
\(959\) | 23.4990 | + | 2.11090i | 0.758823 | + | 0.0681645i | ||||
\(960\) | −6.58754 | − | 0.964488i | −0.212612 | − | 0.0311287i | ||||
\(961\) | −4.26940 | − | 7.39481i | −0.137722 | − | 0.238542i | ||||
\(962\) | 12.9969 | − | 40.0067i | 0.419038 | − | 1.28987i | ||||
\(963\) | 43.7201 | + | 8.25345i | 1.40886 | + | 0.265964i | ||||
\(964\) | 4.83470 | − | 6.65568i | 0.155715 | − | 0.214365i | ||||
\(965\) | −5.93272 | + | 3.42526i | −0.190981 | + | 0.110263i | ||||
\(966\) | −7.24257 | + | 30.2240i | −0.233026 | + | 0.972442i | ||||
\(967\) | −20.2799 | − | 11.7086i | −0.652158 | − | 0.376524i | 0.137125 | − | 0.990554i | \(-0.456214\pi\) |
−0.789283 | + | 0.614030i | \(0.789547\pi\) | |||||||
\(968\) | 10.8747 | − | 1.14448i | 0.349526 | − | 0.0367850i | ||||
\(969\) | −13.2811 | + | 11.0085i | −0.426652 | + | 0.353645i | ||||
\(970\) | 0.305982 | + | 1.43921i | 0.00982448 | + | 0.0462102i | ||||
\(971\) | 25.1209 | 0.806167 | 0.403084 | − | 0.915163i | \(-0.367938\pi\) | ||||
0.403084 | + | 0.915163i | \(0.367938\pi\) | |||||||
\(972\) | −20.9740 | − | 23.0671i | −0.672743 | − | 0.739877i | ||||
\(973\) | 3.06060 | + | 6.60347i | 0.0981184 | + | 0.211698i | ||||
\(974\) | 12.3641 | − | 2.62867i | 0.396173 | − | 0.0842280i | ||||
\(975\) | 40.2936 | − | 33.3987i | 1.29043 | − | 1.06962i | ||||
\(976\) | −9.13633 | + | 43.0217i | −0.292447 | + | 1.37709i | ||||
\(977\) | −1.21770 | + | 2.10911i | −0.0389575 | + | 0.0674764i | −0.884847 | − | 0.465882i | \(-0.845737\pi\) |
0.845889 | + | 0.533359i | \(0.179070\pi\) | |||||||
\(978\) | −38.3678 | − | 30.3474i | −1.22687 | − | 0.970403i | ||||
\(979\) | −3.56823 | − | 6.18036i | −0.114041 | − | 0.197525i | ||||
\(980\) | −1.59762 | − | 6.53430i | −0.0510340 | − | 0.208731i | ||||
\(981\) | 6.09572 | − | 32.2902i | 0.194621 | − | 1.03095i | ||||
\(982\) | 4.05199 | − | 12.4727i | 0.129304 | − | 0.398019i | ||||
\(983\) | 9.60279 | + | 16.6325i | 0.306281 | + | 0.530495i | 0.977546 | − | 0.210723i | \(-0.0675818\pi\) |
−0.671264 | + | 0.741218i | \(0.734248\pi\) | |||||||
\(984\) | −40.0467 | + | 40.9839i | −1.27664 | + | 1.30652i | ||||
\(985\) | −4.97320 | − | 2.87128i | −0.158459 | − | 0.0914865i | ||||
\(986\) | −6.50700 | − | 7.22610i | −0.207225 | − | 0.230126i | ||||
\(987\) | −19.3674 | − | 28.1569i | −0.616471 | − | 0.896243i | ||||
\(988\) | −52.9578 | − | 5.56120i | −1.68481 | − | 0.176925i | ||||
\(989\) | 6.43913 | 0.204752 | ||||||||
\(990\) | −5.44336 | + | 0.124683i | −0.173001 | + | 0.00396269i | ||||
\(991\) | − | 29.4493i | − | 0.935489i | −0.883864 | − | 0.467745i | \(-0.845067\pi\) | ||
0.883864 | − | 0.467745i | \(-0.154933\pi\) | |||||||
\(992\) | −30.8007 | + | 17.7921i | −0.977922 | + | 0.564901i | ||||
\(993\) | 58.6479 | + | 21.7472i | 1.86113 | + | 0.690125i | ||||
\(994\) | 0.292137 | − | 0.683897i | 0.00926601 | − | 0.0216919i | ||||
\(995\) | 9.13423 | + | 5.27365i | 0.289575 | + | 0.167186i | ||||
\(996\) | 2.25303 | + | 35.2223i | 0.0713901 | + | 1.11606i | ||||
\(997\) | 13.3933 | − | 7.73264i | 0.424171 | − | 0.244895i | −0.272689 | − | 0.962102i | \(-0.587913\pi\) |
0.696860 | + | 0.717207i | \(0.254580\pi\) | |||||||
\(998\) | −7.58668 | + | 23.3530i | −0.240152 | + | 0.739227i | ||||
\(999\) | 21.3430 | − | 11.8133i | 0.675264 | − | 0.373755i |
(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 | 252.2.bi.c.139.23 | ✓ | 80 | |
3.2 | odd | 2 | 756.2.bi.c.307.18 | 80 | |||
4.3 | odd | 2 | inner | 252.2.bi.c.139.34 | yes | 80 | |
7.6 | odd | 2 | inner | 252.2.bi.c.139.24 | yes | 80 | |
9.2 | odd | 6 | 756.2.bi.c.559.7 | 80 | |||
9.7 | even | 3 | inner | 252.2.bi.c.223.33 | yes | 80 | |
12.11 | even | 2 | 756.2.bi.c.307.8 | 80 | |||
21.20 | even | 2 | 756.2.bi.c.307.17 | 80 | |||
28.27 | even | 2 | inner | 252.2.bi.c.139.33 | yes | 80 | |
36.7 | odd | 6 | inner | 252.2.bi.c.223.24 | yes | 80 | |
36.11 | even | 6 | 756.2.bi.c.559.17 | 80 | |||
63.20 | even | 6 | 756.2.bi.c.559.8 | 80 | |||
63.34 | odd | 6 | inner | 252.2.bi.c.223.34 | yes | 80 | |
84.83 | odd | 2 | 756.2.bi.c.307.7 | 80 | |||
252.83 | odd | 6 | 756.2.bi.c.559.18 | 80 | |||
252.223 | even | 6 | inner | 252.2.bi.c.223.23 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.bi.c.139.23 | ✓ | 80 | 1.1 | even | 1 | trivial | |
252.2.bi.c.139.24 | yes | 80 | 7.6 | odd | 2 | inner | |
252.2.bi.c.139.33 | yes | 80 | 28.27 | even | 2 | inner | |
252.2.bi.c.139.34 | yes | 80 | 4.3 | odd | 2 | inner | |
252.2.bi.c.223.23 | yes | 80 | 252.223 | even | 6 | inner | |
252.2.bi.c.223.24 | yes | 80 | 36.7 | odd | 6 | inner | |
252.2.bi.c.223.33 | yes | 80 | 9.7 | even | 3 | inner | |
252.2.bi.c.223.34 | yes | 80 | 63.34 | odd | 6 | inner | |
756.2.bi.c.307.7 | 80 | 84.83 | odd | 2 | |||
756.2.bi.c.307.8 | 80 | 12.11 | even | 2 | |||
756.2.bi.c.307.17 | 80 | 21.20 | even | 2 | |||
756.2.bi.c.307.18 | 80 | 3.2 | odd | 2 | |||
756.2.bi.c.559.7 | 80 | 9.2 | odd | 6 | |||
756.2.bi.c.559.8 | 80 | 63.20 | even | 6 | |||
756.2.bi.c.559.17 | 80 | 36.11 | even | 6 | |||
756.2.bi.c.559.18 | 80 | 252.83 | odd | 6 |