Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.6 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.26136 | − | 0.561596i | −0.891920 | − | 0.397108i | −0.0909795 | − | 0.995853i | \(-0.529000\pi\) |
−0.800940 | + | 0.598745i | \(0.795666\pi\) | |||||||
\(3\) | −0.564524 | − | 0.626968i | −0.325928 | − | 0.361980i | 0.557804 | − | 0.829973i | \(-0.311644\pi\) |
−0.883732 | + | 0.467993i | \(0.844977\pi\) | |||||||
\(4\) | −0.0626100 | − | 0.0695354i | −0.0313050 | − | 0.0347677i | ||||
\(5\) | 2.11758 | + | 0.718244i | 0.947009 | + | 0.321208i | ||||
\(6\) | 0.359969 | + | 1.10787i | 0.146957 | + | 0.452286i | ||||
\(7\) | 2.36555 | + | 1.18498i | 0.894094 | + | 0.447879i | ||||
\(8\) | 0.893265 | + | 2.74919i | 0.315817 | + | 0.971984i | ||||
\(9\) | 0.239184 | − | 2.27569i | 0.0797282 | − | 0.758563i | ||||
\(10\) | −2.26767 | − | 2.09519i | −0.717101 | − | 0.662557i | ||||
\(11\) | −0.468722 | − | 4.45959i | −0.141325 | − | 1.34462i | −0.803517 | − | 0.595282i | \(-0.797040\pi\) |
0.662192 | − | 0.749335i | \(-0.269626\pi\) | |||||||
\(12\) | −0.00825162 | + | 0.0785089i | −0.00238204 | + | 0.0226636i | ||||
\(13\) | −4.68752 | − | 3.40568i | −1.30008 | − | 0.944566i | −0.300127 | − | 0.953899i | \(-0.597029\pi\) |
−0.999956 | + | 0.00933331i | \(0.997029\pi\) | |||||||
\(14\) | −2.31835 | − | 2.82317i | −0.619604 | − | 0.754524i | ||||
\(15\) | −0.745107 | − | 1.73312i | −0.192386 | − | 0.447489i | ||||
\(16\) | 0.397637 | − | 3.78327i | 0.0994094 | − | 0.945817i | ||||
\(17\) | 5.96728 | + | 1.26838i | 1.44728 | + | 0.307628i | 0.863526 | − | 0.504304i | \(-0.168251\pi\) |
0.583751 | + | 0.811932i | \(0.301584\pi\) | |||||||
\(18\) | −1.57972 | + | 2.73615i | −0.372343 | + | 0.644916i | ||||
\(19\) | 0.220156 | − | 0.244509i | 0.0505074 | − | 0.0560941i | −0.717362 | − | 0.696701i | \(-0.754650\pi\) |
0.767869 | + | 0.640607i | \(0.221317\pi\) | |||||||
\(20\) | −0.0826380 | − | 0.192216i | −0.0184784 | − | 0.0429808i | ||||
\(21\) | −0.592470 | − | 2.15207i | −0.129288 | − | 0.469621i | ||||
\(22\) | −1.91326 | + | 5.88840i | −0.407908 | + | 1.25541i | ||||
\(23\) | 0.656738 | + | 0.292399i | 0.136939 | + | 0.0609693i | 0.474062 | − | 0.880491i | \(-0.342787\pi\) |
−0.337123 | + | 0.941461i | \(0.609454\pi\) | |||||||
\(24\) | 1.21938 | − | 2.11203i | 0.248905 | − | 0.431117i | ||||
\(25\) | 3.96825 | + | 3.04187i | 0.793650 | + | 0.608374i | ||||
\(26\) | 4.00005 | + | 6.92830i | 0.784475 | + | 1.35875i | ||||
\(27\) | −3.60944 | + | 2.62241i | −0.694636 | + | 0.504683i | ||||
\(28\) | −0.0657094 | − | 0.238681i | −0.0124179 | − | 0.0451065i | ||||
\(29\) | 1.29917 | − | 3.99844i | 0.241250 | − | 0.742491i | −0.754981 | − | 0.655747i | \(-0.772354\pi\) |
0.996231 | − | 0.0867442i | \(-0.0276463\pi\) | |||||||
\(30\) | −0.0334595 | + | 2.60454i | −0.00610885 | + | 0.475522i | ||||
\(31\) | −1.97937 | − | 0.420729i | −0.355506 | − | 0.0755652i | 0.0266968 | − | 0.999644i | \(-0.491501\pi\) |
−0.382203 | + | 0.924078i | \(0.624834\pi\) | |||||||
\(32\) | 0.264433 | − | 0.458011i | 0.0467456 | − | 0.0809657i | ||||
\(33\) | −2.53141 | + | 2.81142i | −0.440663 | + | 0.489406i | ||||
\(34\) | −6.81459 | − | 4.95109i | −1.16869 | − | 0.849105i | ||||
\(35\) | 4.15813 | + | 4.20832i | 0.702853 | + | 0.711335i | ||||
\(36\) | −0.173216 | + | 0.125849i | −0.0288694 | + | 0.0209748i | ||||
\(37\) | −0.384014 | + | 3.65365i | −0.0631316 | + | 0.600657i | 0.916525 | + | 0.399977i | \(0.130982\pi\) |
−0.979657 | + | 0.200680i | \(0.935685\pi\) | |||||||
\(38\) | −0.415013 | + | 0.184775i | −0.0673239 | + | 0.0299745i | ||||
\(39\) | 0.510966 | + | 4.86151i | 0.0818200 | + | 0.778465i | ||||
\(40\) | −0.0830300 | + | 6.46319i | −0.0131282 | + | 1.02192i | ||||
\(41\) | 6.35005 | + | 4.61358i | 0.991712 | + | 0.720521i | 0.960295 | − | 0.278986i | \(-0.0899982\pi\) |
0.0314165 | + | 0.999506i | \(0.489998\pi\) | |||||||
\(42\) | −0.461274 | + | 3.04728i | −0.0711761 | + | 0.470205i | ||||
\(43\) | −10.1001 | −1.54025 | −0.770127 | − | 0.637890i | \(-0.779807\pi\) | ||||
−0.770127 | + | 0.637890i | \(0.779807\pi\) | |||||||
\(44\) | −0.280753 | + | 0.311808i | −0.0423251 | + | 0.0470068i | ||||
\(45\) | 2.14099 | − | 4.64715i | 0.319160 | − | 0.692756i | ||||
\(46\) | −0.664177 | − | 0.737643i | −0.0979275 | − | 0.108760i | ||||
\(47\) | 4.25203 | − | 0.903798i | 0.620223 | − | 0.131832i | 0.112925 | − | 0.993603i | \(-0.463978\pi\) |
0.507297 | + | 0.861771i | \(0.330645\pi\) | |||||||
\(48\) | −2.59646 | + | 1.88644i | −0.374767 | + | 0.272284i | ||||
\(49\) | 4.19167 | + | 5.60624i | 0.598809 | + | 0.800892i | ||||
\(50\) | −3.29711 | − | 6.06546i | −0.466282 | − | 0.857786i | ||||
\(51\) | −2.57344 | − | 4.45733i | −0.360353 | − | 0.624150i | ||||
\(52\) | 0.0566699 | + | 0.539178i | 0.00785870 | + | 0.0747706i | ||||
\(53\) | 3.70396 | + | 4.11366i | 0.508778 | + | 0.565055i | 0.941733 | − | 0.336360i | \(-0.109196\pi\) |
−0.432955 | + | 0.901415i | \(0.642529\pi\) | |||||||
\(54\) | 6.02555 | − | 1.28077i | 0.819973 | − | 0.174291i | ||||
\(55\) | 2.21052 | − | 9.78018i | 0.298066 | − | 1.31876i | ||||
\(56\) | −1.14465 | + | 7.56184i | −0.152961 | + | 1.01049i | ||||
\(57\) | −0.277583 | −0.0367667 | ||||||||
\(58\) | −3.88424 | + | 4.31388i | −0.510025 | + | 0.566440i | ||||
\(59\) | −3.62670 | + | 1.61471i | −0.472157 | + | 0.210218i | −0.628999 | − | 0.777406i | \(-0.716535\pi\) |
0.156843 | + | 0.987624i | \(0.449868\pi\) | |||||||
\(60\) | −0.0738620 | + | 0.160322i | −0.00953554 | + | 0.0206975i | ||||
\(61\) | 8.22500 | + | 3.66201i | 1.05310 | + | 0.468872i | 0.858929 | − | 0.512095i | \(-0.171130\pi\) |
0.194175 | + | 0.980967i | \(0.437797\pi\) | |||||||
\(62\) | 2.26043 | + | 1.64230i | 0.287075 | + | 0.208572i | ||||
\(63\) | 3.26244 | − | 5.09983i | 0.411029 | − | 0.642518i | ||||
\(64\) | −6.74594 | + | 4.90121i | −0.843242 | + | 0.612651i | ||||
\(65\) | −7.48006 | − | 10.5786i | −0.927788 | − | 1.31211i | ||||
\(66\) | 4.77192 | − | 2.12460i | 0.587383 | − | 0.261520i | ||||
\(67\) | −9.58007 | − | 2.03631i | −1.17039 | − | 0.248774i | −0.418597 | − | 0.908172i | \(-0.637478\pi\) |
−0.751795 | + | 0.659397i | \(0.770811\pi\) | |||||||
\(68\) | −0.285414 | − | 0.494351i | −0.0346115 | − | 0.0599488i | ||||
\(69\) | −0.187420 | − | 0.576820i | −0.0225627 | − | 0.0694410i | ||||
\(70\) | −2.88155 | − | 7.64341i | −0.344411 | − | 0.913563i | ||||
\(71\) | −3.25059 | + | 10.0043i | −0.385774 | + | 1.18729i | 0.550144 | + | 0.835070i | \(0.314573\pi\) |
−0.935917 | + | 0.352219i | \(0.885427\pi\) | |||||||
\(72\) | 6.46995 | − | 1.37523i | 0.762490 | − | 0.162072i | ||||
\(73\) | −0.399784 | − | 3.80369i | −0.0467912 | − | 0.445188i | −0.992687 | − | 0.120717i | \(-0.961480\pi\) |
0.945896 | − | 0.324471i | \(-0.105186\pi\) | |||||||
\(74\) | 2.53626 | − | 4.39293i | 0.294834 | − | 0.510667i | ||||
\(75\) | −0.333020 | − | 4.20518i | −0.0384539 | − | 0.485572i | ||||
\(76\) | −0.0307860 | −0.00353140 | ||||||||
\(77\) | 4.17572 | − | 11.1048i | 0.475867 | − | 1.26551i | ||||
\(78\) | 2.08569 | − | 6.41910i | 0.236158 | − | 0.726820i | ||||
\(79\) | −8.81200 | + | 1.87305i | −0.991428 | + | 0.210734i | −0.674948 | − | 0.737865i | \(-0.735834\pi\) |
−0.316479 | + | 0.948599i | \(0.602501\pi\) | |||||||
\(80\) | 3.55933 | − | 7.72575i | 0.397946 | − | 0.863765i | ||||
\(81\) | −3.03288 | − | 0.644659i | −0.336987 | − | 0.0716287i | ||||
\(82\) | −5.41876 | − | 9.38558i | −0.598402 | − | 1.03646i | ||||
\(83\) | 4.16541 | + | 12.8198i | 0.457214 | + | 1.40716i | 0.868517 | + | 0.495660i | \(0.165074\pi\) |
−0.411303 | + | 0.911499i | \(0.634926\pi\) | |||||||
\(84\) | −0.112551 | + | 0.175939i | −0.0122803 | + | 0.0191965i | ||||
\(85\) | 11.7252 | + | 6.97186i | 1.27177 | + | 0.756204i | ||||
\(86\) | 12.7399 | + | 5.67219i | 1.37378 | + | 0.611648i | ||||
\(87\) | −3.24031 | + | 1.44268i | −0.347397 | + | 0.154671i | ||||
\(88\) | 11.8416 | − | 5.27220i | 1.26231 | − | 0.562018i | ||||
\(89\) | 2.36630 | + | 1.05354i | 0.250827 | + | 0.111676i | 0.528299 | − | 0.849058i | \(-0.322830\pi\) |
−0.277472 | + | 0.960734i | \(0.589497\pi\) | |||||||
\(90\) | −5.31039 | + | 4.65938i | −0.559764 | + | 0.491142i | ||||
\(91\) | −7.05291 | − | 13.6109i | −0.739346 | − | 1.42681i | ||||
\(92\) | −0.0207863 | − | 0.0639737i | −0.00216712 | − | 0.00666972i | ||||
\(93\) | 0.853622 | + | 1.47852i | 0.0885164 | + | 0.153315i | ||||
\(94\) | −5.87094 | − | 1.24791i | −0.605541 | − | 0.128712i | ||||
\(95\) | 0.641815 | − | 0.359639i | 0.0658488 | − | 0.0368982i | ||||
\(96\) | −0.436437 | + | 0.0927676i | −0.0445437 | + | 0.00946805i | ||||
\(97\) | −3.36132 | + | 10.3451i | −0.341290 | + | 1.05038i | 0.622250 | + | 0.782819i | \(0.286219\pi\) |
−0.963540 | + | 0.267565i | \(0.913781\pi\) | |||||||
\(98\) | −2.13878 | − | 9.42554i | −0.216049 | − | 0.952123i | ||||
\(99\) | −10.2607 | −1.03124 | ||||||||
\(100\) | −0.0369344 | − | 0.466386i | −0.00369344 | − | 0.0466386i | ||||
\(101\) | 4.98802 | − | 8.63951i | 0.496327 | − | 0.859663i | −0.503664 | − | 0.863899i | \(-0.668015\pi\) |
0.999991 | + | 0.00423641i | \(0.00134849\pi\) | |||||||
\(102\) | 0.742829 | + | 7.06754i | 0.0735510 | + | 0.699791i | ||||
\(103\) | 5.50550 | − | 1.17023i | 0.542473 | − | 0.115306i | 0.0714781 | − | 0.997442i | \(-0.477228\pi\) |
0.470995 | + | 0.882136i | \(0.343895\pi\) | |||||||
\(104\) | 5.17566 | − | 15.9290i | 0.507515 | − | 1.56197i | ||||
\(105\) | 0.291113 | − | 4.98271i | 0.0284097 | − | 0.486263i | ||||
\(106\) | −2.36183 | − | 7.26896i | −0.229401 | − | 0.706024i | ||||
\(107\) | 0.255632 | + | 0.442768i | 0.0247129 | + | 0.0428040i | 0.878117 | − | 0.478445i | \(-0.158800\pi\) |
−0.853404 | + | 0.521249i | \(0.825466\pi\) | |||||||
\(108\) | 0.408337 | + | 0.0867947i | 0.0392923 | + | 0.00835183i | ||||
\(109\) | −3.42433 | + | 1.52461i | −0.327991 | + | 0.146031i | −0.564125 | − | 0.825690i | \(-0.690786\pi\) |
0.236134 | + | 0.971721i | \(0.424120\pi\) | |||||||
\(110\) | −8.28078 | + | 11.0950i | −0.789541 | + | 1.05786i | ||||
\(111\) | 2.50751 | − | 1.82181i | 0.238002 | − | 0.172919i | ||||
\(112\) | 5.42371 | − | 8.47832i | 0.512493 | − | 0.801126i | ||||
\(113\) | −6.40255 | − | 4.65173i | −0.602302 | − | 0.437598i | 0.244394 | − | 0.969676i | \(-0.421411\pi\) |
−0.846695 | + | 0.532078i | \(0.821411\pi\) | |||||||
\(114\) | 0.350133 | + | 0.155889i | 0.0327930 | + | 0.0146004i | ||||
\(115\) | 1.18068 | + | 1.09087i | 0.110099 | + | 0.101725i | ||||
\(116\) | −0.359374 | + | 0.160004i | −0.0333671 | + | 0.0148560i | ||||
\(117\) | −8.87145 | + | 9.85274i | −0.820166 | + | 0.910886i | ||||
\(118\) | 5.48141 | 0.504605 | ||||||||
\(119\) | 12.6129 | + | 10.0715i | 1.15622 | + | 0.923253i | ||||
\(120\) | 4.09909 | − | 3.59657i | 0.374194 | − | 0.328321i | ||||
\(121\) | −8.90862 | + | 1.89359i | −0.809875 | + | 0.172144i | ||||
\(122\) | −8.31816 | − | 9.23825i | −0.753091 | − | 0.836392i | ||||
\(123\) | −0.692191 | − | 6.58576i | −0.0624128 | − | 0.593818i | ||||
\(124\) | 0.0946730 | + | 0.163978i | 0.00850189 | + | 0.0147257i | ||||
\(125\) | 6.21827 | + | 9.29156i | 0.556179 | + | 0.831063i | ||||
\(126\) | −6.97917 | + | 4.60057i | −0.621754 | + | 0.409852i | ||||
\(127\) | 7.64828 | − | 5.55680i | 0.678676 | − | 0.493087i | −0.194243 | − | 0.980954i | \(-0.562225\pi\) |
0.872918 | + | 0.487867i | \(0.162225\pi\) | |||||||
\(128\) | 10.2270 | − | 2.17381i | 0.903945 | − | 0.192139i | ||||
\(129\) | 5.70177 | + | 6.33245i | 0.502013 | + | 0.557542i | ||||
\(130\) | 3.49421 | + | 17.5442i | 0.306463 | + | 1.53873i | ||||
\(131\) | −4.90415 | + | 5.44661i | −0.428477 | + | 0.475872i | −0.918263 | − | 0.395970i | \(-0.870408\pi\) |
0.489786 | + | 0.871843i | \(0.337075\pi\) | |||||||
\(132\) | 0.353985 | 0.0308105 | ||||||||
\(133\) | 0.810528 | − | 0.317517i | 0.0702817 | − | 0.0275323i | ||||
\(134\) | 10.9404 | + | 7.94865i | 0.945105 | + | 0.686659i | ||||
\(135\) | −9.52678 | + | 2.96069i | −0.819935 | + | 0.254816i | ||||
\(136\) | 1.84333 | + | 17.5382i | 0.158065 | + | 1.50388i | ||||
\(137\) | −19.9385 | + | 8.87721i | −1.70346 | + | 0.758431i | −0.704660 | + | 0.709546i | \(0.748900\pi\) |
−0.998804 | + | 0.0488855i | \(0.984433\pi\) | |||||||
\(138\) | −0.0875345 | + | 0.832835i | −0.00745143 | + | 0.0708956i | ||||
\(139\) | 6.92545 | − | 5.03163i | 0.587409 | − | 0.426778i | −0.253979 | − | 0.967210i | \(-0.581739\pi\) |
0.841388 | + | 0.540432i | \(0.181739\pi\) | |||||||
\(140\) | 0.0322866 | − | 0.552620i | 0.00272871 | − | 0.0467049i | ||||
\(141\) | −2.96703 | − | 2.15567i | −0.249869 | − | 0.181540i | ||||
\(142\) | 9.71854 | − | 10.7935i | 0.815561 | − | 0.905773i | ||||
\(143\) | −12.9908 | + | 22.5007i | −1.08635 | + | 1.88161i | ||||
\(144\) | −8.51443 | − | 1.80980i | −0.709536 | − | 0.150816i | ||||
\(145\) | 5.62295 | − | 7.53387i | 0.466960 | − | 0.625654i | ||||
\(146\) | −1.63186 | + | 5.02236i | −0.135054 | + | 0.415653i | ||||
\(147\) | 1.14864 | − | 5.79290i | 0.0947378 | − | 0.477790i | ||||
\(148\) | 0.278101 | − | 0.202053i | 0.0228598 | − | 0.0166086i | ||||
\(149\) | 3.59235 | + | 6.22213i | 0.294297 | + | 0.509737i | 0.974821 | − | 0.222988i | \(-0.0715812\pi\) |
−0.680524 | + | 0.732726i | \(0.738248\pi\) | |||||||
\(150\) | −1.94155 | + | 5.49128i | −0.158527 | + | 0.448361i | ||||
\(151\) | −0.184852 | + | 0.320173i | −0.0150430 | + | 0.0260553i | −0.873449 | − | 0.486916i | \(-0.838122\pi\) |
0.858406 | + | 0.512971i | \(0.171455\pi\) | |||||||
\(152\) | 0.868857 | + | 0.386840i | 0.0704736 | + | 0.0313769i | ||||
\(153\) | 4.31373 | − | 13.2763i | 0.348744 | − | 1.07332i | ||||
\(154\) | −11.5035 | + | 11.6622i | −0.926980 | + | 0.939763i | ||||
\(155\) | −3.88929 | − | 2.31260i | −0.312395 | − | 0.185752i | ||||
\(156\) | 0.306056 | − | 0.339910i | 0.0245041 | − | 0.0272145i | ||||
\(157\) | 1.59621 | − | 2.76471i | 0.127391 | − | 0.220648i | −0.795274 | − | 0.606250i | \(-0.792673\pi\) |
0.922665 | + | 0.385602i | \(0.126006\pi\) | |||||||
\(158\) | 12.1670 | + | 2.58618i | 0.967958 | + | 0.205746i | ||||
\(159\) | 0.488160 | − | 4.64453i | 0.0387136 | − | 0.368335i | ||||
\(160\) | 0.888920 | − | 0.779946i | 0.0702753 | − | 0.0616601i | ||||
\(161\) | 1.20706 | + | 1.46990i | 0.0951299 | + | 0.115845i | ||||
\(162\) | 3.46353 | + | 2.51640i | 0.272121 | + | 0.197707i | ||||
\(163\) | −2.29145 | + | 21.8016i | −0.179480 | + | 1.70764i | 0.420229 | + | 0.907418i | \(0.361950\pi\) |
−0.599709 | + | 0.800218i | \(0.704717\pi\) | |||||||
\(164\) | −0.0767692 | − | 0.730410i | −0.00599467 | − | 0.0570355i | ||||
\(165\) | −7.37975 | + | 4.13522i | −0.574513 | + | 0.321927i | ||||
\(166\) | 1.94545 | − | 18.5098i | 0.150997 | − | 1.43664i | ||||
\(167\) | −3.32597 | − | 10.2363i | −0.257371 | − | 0.792108i | −0.993353 | − | 0.115106i | \(-0.963279\pi\) |
0.735982 | − | 0.677001i | \(-0.236721\pi\) | |||||||
\(168\) | 5.38722 | − | 3.55118i | 0.415633 | − | 0.273980i | ||||
\(169\) | 6.35694 | + | 19.5646i | 0.488995 | + | 1.50497i | ||||
\(170\) | −10.8743 | − | 15.3789i | −0.834023 | − | 1.17950i | ||||
\(171\) | −0.503767 | − | 0.559490i | −0.0385240 | − | 0.0427853i | ||||
\(172\) | 0.632369 | + | 0.702317i | 0.0482177 | + | 0.0535511i | ||||
\(173\) | −7.04333 | − | 3.13589i | −0.535494 | − | 0.238417i | 0.121128 | − | 0.992637i | \(-0.461349\pi\) |
−0.656622 | + | 0.754220i | \(0.728015\pi\) | |||||||
\(174\) | 4.89741 | 0.371272 | ||||||||
\(175\) | 5.78256 | + | 11.8980i | 0.437121 | + | 0.899403i | ||||
\(176\) | −17.0582 | −1.28581 | ||||||||
\(177\) | 3.05974 | + | 1.36228i | 0.229984 | + | 0.102395i | ||||
\(178\) | −2.39310 | − | 2.65781i | −0.179371 | − | 0.199211i | ||||
\(179\) | −2.00200 | − | 2.22345i | −0.149637 | − | 0.166188i | 0.663666 | − | 0.748029i | \(-0.269000\pi\) |
−0.813303 | + | 0.581840i | \(0.802333\pi\) | |||||||
\(180\) | −0.457189 | + | 0.142083i | −0.0340769 | + | 0.0105903i | ||||
\(181\) | 3.40661 | + | 10.4845i | 0.253211 | + | 0.779303i | 0.994177 | + | 0.107761i | \(0.0343680\pi\) |
−0.740966 | + | 0.671543i | \(0.765632\pi\) | |||||||
\(182\) | 1.25247 | + | 21.1292i | 0.0928393 | + | 1.56620i | ||||
\(183\) | −2.34725 | − | 7.22410i | −0.173514 | − | 0.534021i | ||||
\(184\) | −0.217217 | + | 2.06669i | −0.0160135 | + | 0.152358i | ||||
\(185\) | −3.43739 | + | 7.46107i | −0.252722 | + | 0.548549i | ||||
\(186\) | −0.246400 | − | 2.34434i | −0.0180669 | − | 0.171895i | ||||
\(187\) | 2.85948 | − | 27.2061i | 0.209106 | − | 1.98951i | ||||
\(188\) | −0.329066 | − | 0.239080i | −0.0239996 | − | 0.0174367i | ||||
\(189\) | −11.6458 | + | 1.92635i | −0.847107 | + | 0.140121i | ||||
\(190\) | −1.01153 | + | 0.0931959i | −0.0733844 | + | 0.00676114i | ||||
\(191\) | 2.13693 | − | 20.3316i | 0.154623 | − | 1.47114i | −0.592024 | − | 0.805921i | \(-0.701671\pi\) |
0.746647 | − | 0.665221i | \(-0.231663\pi\) | |||||||
\(192\) | 6.88115 | + | 1.46263i | 0.496604 | + | 0.105556i | ||||
\(193\) | 10.7249 | − | 18.5760i | 0.771994 | − | 1.33713i | −0.164475 | − | 0.986381i | \(-0.552593\pi\) |
0.936469 | − | 0.350751i | \(-0.114074\pi\) | |||||||
\(194\) | 10.0496 | − | 11.1612i | 0.721519 | − | 0.801328i | ||||
\(195\) | −2.40974 | + | 10.6616i | −0.172565 | + | 0.763494i | ||||
\(196\) | 0.127392 | − | 0.642476i | 0.00909945 | − | 0.0458911i | ||||
\(197\) | 2.10869 | − | 6.48989i | 0.150238 | − | 0.462386i | −0.847409 | − | 0.530940i | \(-0.821839\pi\) |
0.997647 | + | 0.0685548i | \(0.0218388\pi\) | |||||||
\(198\) | 12.9425 | + | 5.76239i | 0.919787 | + | 0.409515i | ||||
\(199\) | 3.30428 | − | 5.72318i | 0.234234 | − | 0.405705i | −0.724816 | − | 0.688943i | \(-0.758075\pi\) |
0.959050 | + | 0.283237i | \(0.0914085\pi\) | |||||||
\(200\) | −4.81797 | + | 13.6267i | −0.340682 | + | 0.963550i | ||||
\(201\) | 4.13148 | + | 7.15594i | 0.291412 | + | 0.504741i | ||||
\(202\) | −11.1436 | + | 8.09632i | −0.784063 | + | 0.569655i | ||||
\(203\) | 7.81131 | − | 7.91903i | 0.548246 | − | 0.555807i | ||||
\(204\) | −0.148819 | + | 0.458018i | −0.0104194 | + | 0.0320677i | ||||
\(205\) | 10.1330 | + | 14.3305i | 0.707722 | + | 1.00089i | ||||
\(206\) | −7.60164 | − | 1.61578i | −0.529631 | − | 0.112577i | ||||
\(207\) | 0.822490 | − | 1.42459i | 0.0571670 | − | 0.0990162i | ||||
\(208\) | −14.7485 | + | 16.3799i | −1.02263 | + | 1.13574i | ||||
\(209\) | −1.19360 | − | 0.867201i | −0.0825630 | − | 0.0599856i | ||||
\(210\) | −3.16547 | + | 6.12153i | −0.218438 | + | 0.422426i | ||||
\(211\) | 8.12908 | − | 5.90613i | 0.559629 | − | 0.406594i | −0.271694 | − | 0.962384i | \(-0.587584\pi\) |
0.831323 | + | 0.555789i | \(0.187584\pi\) | |||||||
\(212\) | 0.0541406 | − | 0.515113i | 0.00371839 | − | 0.0353781i | ||||
\(213\) | 8.10740 | − | 3.60965i | 0.555510 | − | 0.247329i | ||||
\(214\) | −0.0737888 | − | 0.702053i | −0.00504410 | − | 0.0479914i | ||||
\(215\) | −21.3878 | − | 7.25435i | −1.45863 | − | 0.494743i | ||||
\(216\) | −10.4337 | − | 7.58051i | −0.709921 | − | 0.515788i | ||||
\(217\) | −4.18376 | − | 3.34077i | −0.284012 | − | 0.226786i | ||||
\(218\) | 5.17554 | 0.350532 | ||||||||
\(219\) | −2.15910 | + | 2.39793i | −0.145899 | + | 0.162037i | ||||
\(220\) | −0.818469 | + | 0.458627i | −0.0551812 | + | 0.0309206i | ||||
\(221\) | −23.6520 | − | 26.2682i | −1.59101 | − | 1.76699i | ||||
\(222\) | −4.18600 | + | 0.889763i | −0.280946 | + | 0.0597170i | ||||
\(223\) | −1.54979 | + | 1.12599i | −0.103781 | + | 0.0754016i | −0.638466 | − | 0.769650i | \(-0.720431\pi\) |
0.534684 | + | 0.845052i | \(0.320431\pi\) | |||||||
\(224\) | 1.16826 | − | 0.770102i | 0.0780578 | − | 0.0514546i | ||||
\(225\) | 7.87149 | − | 8.30294i | 0.524766 | − | 0.553529i | ||||
\(226\) | 5.46356 | + | 9.46317i | 0.363431 | + | 0.629481i | ||||
\(227\) | 0.934471 | + | 8.89089i | 0.0620230 | + | 0.590109i | 0.980757 | + | 0.195232i | \(0.0625461\pi\) |
−0.918734 | + | 0.394877i | \(0.870787\pi\) | |||||||
\(228\) | 0.0173795 | + | 0.0193018i | 0.00115098 | + | 0.00127830i | ||||
\(229\) | 12.9293 | − | 2.74820i | 0.854390 | − | 0.181606i | 0.240160 | − | 0.970733i | \(-0.422800\pi\) |
0.614230 | + | 0.789127i | \(0.289467\pi\) | |||||||
\(230\) | −0.876637 | − | 2.03906i | −0.0578037 | − | 0.134451i | ||||
\(231\) | −9.31966 | + | 3.65090i | −0.613188 | + | 0.240211i | ||||
\(232\) | 12.1530 | 0.797881 | ||||||||
\(233\) | −7.75905 | + | 8.61729i | −0.508312 | + | 0.564538i | −0.941607 | − | 0.336715i | \(-0.890684\pi\) |
0.433295 | + | 0.901252i | \(0.357351\pi\) | |||||||
\(234\) | 16.7234 | − | 7.44573i | 1.09324 | − | 0.486743i | ||||
\(235\) | 9.65315 | + | 1.14014i | 0.629702 | + | 0.0743743i | ||||
\(236\) | 0.339348 | + | 0.151087i | 0.0220897 | + | 0.00983495i | ||||
\(237\) | 6.14893 | + | 4.46746i | 0.399416 | + | 0.290193i | ||||
\(238\) | −10.2533 | − | 19.7872i | −0.664626 | − | 1.28261i | ||||
\(239\) | 5.13719 | − | 3.73239i | 0.332297 | − | 0.241428i | −0.409108 | − | 0.912486i | \(-0.634160\pi\) |
0.741405 | + | 0.671058i | \(0.234160\pi\) | |||||||
\(240\) | −6.85313 | + | 2.12979i | −0.442368 | + | 0.137477i | ||||
\(241\) | −4.49380 | + | 2.00077i | −0.289471 | + | 0.128881i | −0.546335 | − | 0.837567i | \(-0.683977\pi\) |
0.256864 | + | 0.966448i | \(0.417311\pi\) | |||||||
\(242\) | 12.3004 | + | 2.61454i | 0.790703 | + | 0.168069i | ||||
\(243\) | 8.00022 | + | 13.8568i | 0.513214 | + | 0.888913i | ||||
\(244\) | −0.260328 | − | 0.801207i | −0.0166658 | − | 0.0512920i | ||||
\(245\) | 4.84952 | + | 14.8823i | 0.309825 | + | 0.950794i | ||||
\(246\) | −2.82543 | + | 8.69578i | −0.180143 | + | 0.554423i | ||||
\(247\) | −1.86471 | + | 0.396355i | −0.118648 | + | 0.0252195i | ||||
\(248\) | −0.611443 | − | 5.81749i | −0.0388267 | − | 0.369411i | ||||
\(249\) | 5.68614 | − | 9.84869i | 0.360345 | − | 0.624135i | ||||
\(250\) | −2.62540 | − | 15.2122i | −0.166045 | − | 0.962104i | ||||
\(251\) | −1.51682 | −0.0957407 | −0.0478704 | − | 0.998854i | \(-0.515243\pi\) | ||||
−0.0478704 | + | 0.998854i | \(0.515243\pi\) | |||||||
\(252\) | −0.558880 | + | 0.0924452i | −0.0352061 | + | 0.00582350i | ||||
\(253\) | 0.996151 | − | 3.06584i | 0.0626275 | − | 0.192748i | ||||
\(254\) | −12.7680 | + | 2.71391i | −0.801133 | + | 0.170286i | ||||
\(255\) | −2.24800 | − | 11.2871i | −0.140775 | − | 0.706824i | ||||
\(256\) | 2.19170 | + | 0.465861i | 0.136982 | + | 0.0291163i | ||||
\(257\) | −6.40701 | − | 11.0973i | −0.399658 | − | 0.692229i | 0.594025 | − | 0.804446i | \(-0.297538\pi\) |
−0.993684 | + | 0.112218i | \(0.964205\pi\) | |||||||
\(258\) | −3.63573 | − | 11.1896i | −0.226351 | − | 0.696636i | ||||
\(259\) | −5.23789 | + | 8.18785i | −0.325467 | + | 0.508769i | ||||
\(260\) | −0.267259 | + | 1.18245i | −0.0165747 | + | 0.0733327i | ||||
\(261\) | −8.78846 | − | 3.91287i | −0.543992 | − | 0.242201i | ||||
\(262\) | 9.24471 | − | 4.11601i | 0.571140 | − | 0.254288i | ||||
\(263\) | 1.29030 | − | 0.574481i | 0.0795636 | − | 0.0354240i | −0.366569 | − | 0.930391i | \(-0.619468\pi\) |
0.446133 | + | 0.894967i | \(0.352801\pi\) | |||||||
\(264\) | −9.99034 | − | 4.44799i | −0.614863 | − | 0.273755i | ||||
\(265\) | 4.88880 | + | 11.3713i | 0.300317 | + | 0.698536i | ||||
\(266\) | −1.20069 | − | 0.0546838i | −0.0736189 | − | 0.00335288i | ||||
\(267\) | −0.675296 | − | 2.07835i | −0.0413274 | − | 0.127193i | ||||
\(268\) | 0.458213 | + | 0.793648i | 0.0279898 | + | 0.0484797i | ||||
\(269\) | 5.27072 | + | 1.12033i | 0.321361 | + | 0.0683075i | 0.365768 | − | 0.930706i | \(-0.380806\pi\) |
−0.0444065 | + | 0.999014i | \(0.514140\pi\) | |||||||
\(270\) | 13.6795 | + | 1.61569i | 0.832505 | + | 0.0983275i | ||||
\(271\) | 5.04837 | − | 1.07306i | 0.306666 | − | 0.0651840i | −0.0520081 | − | 0.998647i | \(-0.516562\pi\) |
0.358674 | + | 0.933463i | \(0.383229\pi\) | |||||||
\(272\) | 7.17145 | − | 22.0714i | 0.434833 | − | 1.33828i | ||||
\(273\) | −4.55206 | + | 12.1056i | −0.275503 | + | 0.732667i | ||||
\(274\) | 30.1352 | 1.82053 | ||||||||
\(275\) | 11.7055 | − | 19.1226i | 0.705868 | − | 1.15313i | ||||
\(276\) | −0.0283751 | + | 0.0491470i | −0.00170798 | + | 0.00295830i | ||||
\(277\) | −1.92029 | − | 18.2703i | −0.115379 | − | 1.09776i | −0.887030 | − | 0.461712i | \(-0.847235\pi\) |
0.771651 | − | 0.636046i | \(-0.219431\pi\) | |||||||
\(278\) | −11.5613 | + | 2.45742i | −0.693398 | + | 0.147386i | ||||
\(279\) | −1.43088 | + | 4.40381i | −0.0856648 | + | 0.263649i | ||||
\(280\) | −7.85514 | + | 15.1906i | −0.469434 | + | 0.907813i | ||||
\(281\) | 3.25667 | + | 10.0230i | 0.194277 | + | 0.597923i | 0.999984 | + | 0.00560894i | \(0.00178539\pi\) |
−0.805707 | + | 0.592314i | \(0.798215\pi\) | |||||||
\(282\) | 2.53189 | + | 4.38536i | 0.150772 | + | 0.261144i | ||||
\(283\) | −20.3202 | − | 4.31920i | −1.20791 | − | 0.256750i | −0.440411 | − | 0.897797i | \(-0.645167\pi\) |
−0.767502 | + | 0.641047i | \(0.778500\pi\) | |||||||
\(284\) | 0.899171 | − | 0.400337i | 0.0533560 | − | 0.0237556i | ||||
\(285\) | −0.587802 | − | 0.199372i | −0.0348184 | − | 0.0118098i | ||||
\(286\) | 29.0224 | − | 21.0860i | 1.71613 | − | 1.24684i | ||||
\(287\) | 9.55439 | + | 18.4383i | 0.563978 | + | 1.08838i | ||||
\(288\) | −0.979042 | − | 0.711316i | −0.0576906 | − | 0.0419147i | ||||
\(289\) | 18.4693 | + | 8.22308i | 1.08643 | + | 0.483710i | ||||
\(290\) | −11.3236 | + | 6.34514i | −0.664943 | + | 0.372599i | ||||
\(291\) | 8.38358 | − | 3.73261i | 0.491454 | − | 0.218809i | ||||
\(292\) | −0.239461 | + | 0.265948i | −0.0140134 | + | 0.0155634i | ||||
\(293\) | 5.57062 | 0.325439 | 0.162719 | − | 0.986672i | \(-0.447973\pi\) | ||||
0.162719 | + | 0.986672i | \(0.447973\pi\) | |||||||
\(294\) | −4.70212 | + | 6.66189i | −0.274233 | + | 0.388529i | ||||
\(295\) | −8.83958 | + | 0.814419i | −0.514660 | + | 0.0474173i | ||||
\(296\) | −10.3876 | + | 2.20795i | −0.603767 | + | 0.128335i | ||||
\(297\) | 13.3867 | + | 14.8674i | 0.776774 | + | 0.862695i | ||||
\(298\) | −1.03694 | − | 9.86583i | −0.0600684 | − | 0.571512i | ||||
\(299\) | −2.08266 | − | 3.60727i | −0.120443 | − | 0.208614i | ||||
\(300\) | −0.271558 | + | 0.286443i | −0.0156784 | + | 0.0165378i | ||||
\(301\) | −23.8924 | − | 11.9684i | −1.37713 | − | 0.689847i | ||||
\(302\) | 0.412974 | − | 0.300043i | 0.0237640 | − | 0.0172655i | ||||
\(303\) | −8.23255 | + | 1.74988i | −0.472948 | + | 0.100528i | ||||
\(304\) | −0.837499 | − | 0.930136i | −0.0480338 | − | 0.0533470i | ||||
\(305\) | 14.7868 | + | 13.6621i | 0.846692 | + | 0.782291i | ||||
\(306\) | −12.8971 | + | 14.3237i | −0.737278 | + | 0.818830i | ||||
\(307\) | −18.4102 | −1.05073 | −0.525363 | − | 0.850878i | \(-0.676070\pi\) | ||||
−0.525363 | + | 0.850878i | \(0.676070\pi\) | |||||||
\(308\) | −1.03362 | + | 0.404912i | −0.0588960 | + | 0.0230720i | ||||
\(309\) | −3.84169 | − | 2.79115i | −0.218546 | − | 0.158783i | ||||
\(310\) | 3.60707 | + | 5.10124i | 0.204868 | + | 0.289731i | ||||
\(311\) | 3.26600 | + | 31.0739i | 0.185198 | + | 1.76204i | 0.553987 | + | 0.832526i | \(0.313106\pi\) |
−0.368789 | + | 0.929513i | \(0.620227\pi\) | |||||||
\(312\) | −12.9088 | + | 5.74736i | −0.730816 | + | 0.325380i | ||||
\(313\) | 0.750370 | − | 7.13929i | 0.0424134 | − | 0.403537i | −0.952633 | − | 0.304123i | \(-0.901637\pi\) |
0.995046 | − | 0.0994137i | \(-0.0316967\pi\) | |||||||
\(314\) | −3.56605 | + | 2.59089i | −0.201244 | + | 0.146212i | ||||
\(315\) | 10.5714 | − | 8.45605i | 0.595630 | − | 0.476444i | ||||
\(316\) | 0.681963 | + | 0.495475i | 0.0383634 | + | 0.0278726i | ||||
\(317\) | 7.01588 | − | 7.79192i | 0.394051 | − | 0.437638i | −0.513173 | − | 0.858285i | \(-0.671530\pi\) |
0.907224 | + | 0.420647i | \(0.138197\pi\) | |||||||
\(318\) | −3.22409 | + | 5.58430i | −0.180798 | + | 0.313152i | ||||
\(319\) | −18.4403 | − | 3.91962i | −1.03246 | − | 0.219456i | ||||
\(320\) | −17.8053 | + | 5.53346i | −0.995346 | + | 0.309330i | ||||
\(321\) | 0.133291 | − | 0.410226i | 0.00743955 | − | 0.0228966i | ||||
\(322\) | −0.697055 | − | 2.53197i | −0.0388454 | − | 0.141101i | ||||
\(323\) | 1.62387 | − | 1.17981i | 0.0903543 | − | 0.0656462i | ||||
\(324\) | 0.145062 | + | 0.251255i | 0.00805900 | + | 0.0139586i | ||||
\(325\) | −8.24161 | − | 27.7734i | −0.457162 | − | 1.54059i | ||||
\(326\) | 15.1341 | − | 26.2130i | 0.838198 | − | 1.45180i | ||||
\(327\) | 2.88900 | + | 1.28626i | 0.159762 | + | 0.0711306i | ||||
\(328\) | −7.01132 | + | 21.5786i | −0.387136 | + | 1.19148i | ||||
\(329\) | 11.1294 | + | 2.90058i | 0.613583 | + | 0.159914i | ||||
\(330\) | 11.6309 | − | 1.07159i | 0.640259 | − | 0.0589891i | ||||
\(331\) | 22.5410 | − | 25.0343i | 1.23897 | − | 1.37601i | 0.338568 | − | 0.940942i | \(-0.390057\pi\) |
0.900397 | − | 0.435069i | \(-0.143276\pi\) | |||||||
\(332\) | 0.630636 | − | 1.09229i | 0.0346106 | − | 0.0599474i | ||||
\(333\) | 8.22272 | + | 1.74779i | 0.450603 | + | 0.0957785i | ||||
\(334\) | −1.55339 | + | 14.7795i | −0.0849979 | + | 0.808701i | ||||
\(335\) | −18.8240 | − | 11.1929i | −1.02846 | − | 0.611531i | ||||
\(336\) | −8.37745 | + | 1.38573i | −0.457028 | + | 0.0755976i | ||||
\(337\) | −0.633700 | − | 0.460410i | −0.0345198 | − | 0.0250801i | 0.570392 | − | 0.821373i | \(-0.306791\pi\) |
−0.604911 | + | 0.796293i | \(0.706791\pi\) | |||||||
\(338\) | 2.96900 | − | 28.2482i | 0.161493 | − | 1.53650i | ||||
\(339\) | 0.697914 | + | 6.64021i | 0.0379055 | + | 0.360647i | ||||
\(340\) | −0.249320 | − | 1.25182i | −0.0135213 | − | 0.0678896i | ||||
\(341\) | −0.948503 | + | 9.02440i | −0.0513643 | + | 0.488699i | ||||
\(342\) | 0.321227 | + | 0.988635i | 0.0173700 | + | 0.0534592i | ||||
\(343\) | 3.27234 | + | 18.2289i | 0.176690 | + | 0.984267i | ||||
\(344\) | −9.02209 | − | 27.7671i | −0.486438 | − | 1.49710i | ||||
\(345\) | 0.0174209 | − | 1.35607i | 0.000937912 | − | 0.0730085i | ||||
\(346\) | 7.12310 | + | 7.91100i | 0.382940 | + | 0.425298i | ||||
\(347\) | 3.78971 | + | 4.20890i | 0.203443 | + | 0.225946i | 0.836229 | − | 0.548381i | \(-0.184755\pi\) |
−0.632786 | + | 0.774327i | \(0.718089\pi\) | |||||||
\(348\) | 0.303193 | + | 0.134990i | 0.0162528 | + | 0.00723623i | ||||
\(349\) | −29.3627 | −1.57175 | −0.785875 | − | 0.618386i | \(-0.787787\pi\) | ||||
−0.785875 | + | 0.618386i | \(0.787787\pi\) | |||||||
\(350\) | −0.612063 | − | 18.2552i | −0.0327161 | − | 0.975779i | ||||
\(351\) | 25.8504 | 1.37979 | ||||||||
\(352\) | −2.16649 | − | 0.964582i | −0.115474 | − | 0.0514124i | ||||
\(353\) | 14.6013 | + | 16.2164i | 0.777149 | + | 0.863111i | 0.993574 | − | 0.113188i | \(-0.0361063\pi\) |
−0.216425 | + | 0.976299i | \(0.569440\pi\) | |||||||
\(354\) | −3.09439 | − | 3.43667i | −0.164465 | − | 0.182657i | ||||
\(355\) | −14.0689 | + | 18.8501i | −0.746698 | + | 1.00046i | ||||
\(356\) | −0.0748954 | − | 0.230504i | −0.00396945 | − | 0.0122167i | ||||
\(357\) | −0.805778 | − | 13.5935i | −0.0426463 | − | 0.719444i | ||||
\(358\) | 1.27658 | + | 3.92890i | 0.0674691 | + | 0.207649i | ||||
\(359\) | 2.14812 | − | 20.4380i | 0.113373 | − | 1.07867i | −0.778891 | − | 0.627160i | \(-0.784217\pi\) |
0.892264 | − | 0.451514i | \(-0.149116\pi\) | |||||||
\(360\) | 14.6883 | + | 1.73485i | 0.774144 | + | 0.0914344i | ||||
\(361\) | 1.97473 | + | 18.7883i | 0.103933 | + | 0.988856i | ||||
\(362\) | 1.59105 | − | 15.1379i | 0.0836239 | − | 0.795628i | ||||
\(363\) | 6.21635 | + | 4.51644i | 0.326274 | + | 0.237052i | ||||
\(364\) | −0.504857 | + | 1.34261i | −0.0264617 | + | 0.0703717i | ||||
\(365\) | 1.88540 | − | 8.34174i | 0.0986865 | − | 0.436627i | ||||
\(366\) | −1.09628 | + | 10.4304i | −0.0573036 | + | 0.545208i | ||||
\(367\) | −14.9660 | − | 3.18112i | −0.781219 | − | 0.166053i | −0.199995 | − | 0.979797i | \(-0.564093\pi\) |
−0.581224 | + | 0.813744i | \(0.697426\pi\) | |||||||
\(368\) | 1.36737 | − | 2.36835i | 0.0712789 | − | 0.123459i | ||||
\(369\) | 12.0179 | − | 13.3472i | 0.625628 | − | 0.694830i | ||||
\(370\) | 8.52591 | − | 7.48070i | 0.443241 | − | 0.388903i | ||||
\(371\) | 3.88732 | + | 14.1202i | 0.201819 | + | 0.733084i | ||||
\(372\) | 0.0493640 | − | 0.151927i | 0.00255940 | − | 0.00787704i | ||||
\(373\) | −21.1964 | − | 9.43726i | −1.09751 | − | 0.488643i | −0.223575 | − | 0.974687i | \(-0.571773\pi\) |
−0.873934 | + | 0.486044i | \(0.838439\pi\) | |||||||
\(374\) | −18.8857 | + | 32.7110i | −0.976556 | + | 1.69144i | ||||
\(375\) | 2.31515 | − | 9.14397i | 0.119554 | − | 0.472193i | ||||
\(376\) | 6.28290 | + | 10.8823i | 0.324016 | + | 0.561212i | ||||
\(377\) | −19.7073 | + | 14.3182i | −1.01498 | + | 0.737424i | ||||
\(378\) | 15.7714 | + | 4.11040i | 0.811195 | + | 0.211416i | ||||
\(379\) | −5.71998 | + | 17.6043i | −0.293816 | + | 0.904271i | 0.689801 | + | 0.723999i | \(0.257698\pi\) |
−0.983617 | + | 0.180272i | \(0.942302\pi\) | |||||||
\(380\) | −0.0651917 | − | 0.0221119i | −0.00334426 | − | 0.00113431i | ||||
\(381\) | −7.80158 | − | 1.65828i | −0.399687 | − | 0.0849561i | ||||
\(382\) | −14.1136 | + | 24.4454i | −0.722114 | + | 1.25074i | ||||
\(383\) | 8.53279 | − | 9.47662i | 0.436005 | − | 0.484233i | −0.484595 | − | 0.874738i | \(-0.661033\pi\) |
0.920601 | + | 0.390506i | \(0.127700\pi\) | |||||||
\(384\) | −7.13628 | − | 5.18481i | −0.364172 | − | 0.264586i | ||||
\(385\) | 16.8184 | − | 20.5161i | 0.857143 | − | 1.04560i | ||||
\(386\) | −23.9602 | + | 17.4081i | −1.21954 | + | 0.886050i | ||||
\(387\) | −2.41579 | + | 22.9847i | −0.122802 | + | 1.16838i | ||||
\(388\) | 0.929802 | − | 0.413974i | 0.0472035 | − | 0.0210164i | ||||
\(389\) | −2.06987 | − | 19.6935i | −0.104947 | − | 0.998502i | −0.912603 | − | 0.408848i | \(-0.865931\pi\) |
0.807656 | − | 0.589654i | \(-0.200736\pi\) | |||||||
\(390\) | 9.02708 | − | 12.0949i | 0.457104 | − | 0.612449i | ||||
\(391\) | 3.54807 | + | 2.57782i | 0.179433 | + | 0.130366i | ||||
\(392\) | −11.6683 | + | 16.5315i | −0.589340 | + | 0.834968i | ||||
\(393\) | 6.18336 | 0.311909 | ||||||||
\(394\) | −6.30453 | + | 7.00189i | −0.317617 | + | 0.352750i | ||||
\(395\) | −20.0054 | − | 2.36284i | −1.00658 | − | 0.118887i | ||||
\(396\) | 0.642425 | + | 0.713486i | 0.0322831 | + | 0.0358540i | ||||
\(397\) | −25.8818 | + | 5.50135i | −1.29897 | + | 0.276105i | −0.804949 | − | 0.593344i | \(-0.797807\pi\) |
−0.494022 | + | 0.869449i | \(0.664474\pi\) | |||||||
\(398\) | −7.38201 | + | 5.36335i | −0.370027 | + | 0.268840i | ||||
\(399\) | −0.656636 | − | 0.328929i | −0.0328729 | − | 0.0164670i | ||||
\(400\) | 13.0861 | − | 13.8034i | 0.654307 | − | 0.690170i | ||||
\(401\) | 17.2314 | + | 29.8457i | 0.860497 | + | 1.49042i | 0.871450 | + | 0.490484i | \(0.163180\pi\) |
−0.0109534 | + | 0.999940i | \(0.503487\pi\) | |||||||
\(402\) | −1.19256 | − | 11.3465i | −0.0594796 | − | 0.565911i | ||||
\(403\) | 7.84548 | + | 8.71329i | 0.390811 | + | 0.434040i | ||||
\(404\) | −0.913052 | + | 0.194075i | −0.0454260 | + | 0.00965560i | ||||
\(405\) | −5.95933 | − | 3.54346i | −0.296122 | − | 0.176076i | ||||
\(406\) | −14.3002 | + | 5.60198i | −0.709707 | + | 0.278022i | ||||
\(407\) | 16.4738 | 0.816575 | ||||||||
\(408\) | 9.95526 | − | 11.0564i | 0.492859 | − | 0.547375i | ||||
\(409\) | 0.322933 | − | 0.143779i | 0.0159680 | − | 0.00710941i | −0.398737 | − | 0.917065i | \(-0.630551\pi\) |
0.414705 | + | 0.909956i | \(0.363885\pi\) | |||||||
\(410\) | −4.73351 | − | 23.7667i | −0.233772 | − | 1.17375i | ||||
\(411\) | 16.8215 | + | 7.48942i | 0.829744 | + | 0.369426i | ||||
\(412\) | −0.426072 | − | 0.309559i | −0.0209910 | − | 0.0152509i | ||||
\(413\) | −10.4926 | − | 0.477870i | −0.516305 | − | 0.0235144i | ||||
\(414\) | −1.83751 | + | 1.33503i | −0.0903085 | + | 0.0656130i | ||||
\(415\) | −0.387180 | + | 30.1387i | −0.0190059 | + | 1.47945i | ||||
\(416\) | −2.79937 | + | 1.24636i | −0.137251 | + | 0.0611079i | ||||
\(417\) | −7.06426 | − | 1.50155i | −0.345938 | − | 0.0735314i | ||||
\(418\) | 1.01855 | + | 1.76418i | 0.0498188 | + | 0.0862887i | ||||
\(419\) | 4.03100 | + | 12.4061i | 0.196927 | + | 0.606079i | 0.999949 | + | 0.0101292i | \(0.00322428\pi\) |
−0.803022 | + | 0.595950i | \(0.796776\pi\) | |||||||
\(420\) | −0.364702 | + | 0.291725i | −0.0177956 | + | 0.0142347i | ||||
\(421\) | 2.49426 | − | 7.67653i | 0.121563 | − | 0.374131i | −0.871697 | − | 0.490046i | \(-0.836980\pi\) |
0.993259 | + | 0.115915i | \(0.0369800\pi\) | |||||||
\(422\) | −13.5706 | + | 2.88452i | −0.660606 | + | 0.140416i | ||||
\(423\) | −1.03974 | − | 9.89248i | −0.0505540 | − | 0.480989i | ||||
\(424\) | −8.00061 | + | 13.8575i | −0.388544 | + | 0.672978i | ||||
\(425\) | 19.8214 | + | 23.1850i | 0.961479 | + | 1.12464i | ||||
\(426\) | −12.2535 | −0.593686 | ||||||||
\(427\) | 15.1173 | + | 18.4091i | 0.731576 | + | 0.890878i | ||||
\(428\) | 0.0147829 | − | 0.0454972i | 0.000714560 | − | 0.00219919i | ||||
\(429\) | 21.4409 | − | 4.55739i | 1.03517 | − | 0.220033i | ||||
\(430\) | 22.9038 | + | 21.1617i | 1.10452 | + | 1.02051i | ||||
\(431\) | 19.8254 | + | 4.21402i | 0.954956 | + | 0.202982i | 0.658935 | − | 0.752200i | \(-0.271007\pi\) |
0.296020 | + | 0.955182i | \(0.404340\pi\) | |||||||
\(432\) | 8.48603 | + | 14.6982i | 0.408284 | + | 0.707169i | ||||
\(433\) | 3.13997 | + | 9.66384i | 0.150897 | + | 0.464414i | 0.997722 | − | 0.0674577i | \(-0.0214888\pi\) |
−0.846825 | + | 0.531872i | \(0.821489\pi\) | |||||||
\(434\) | 3.40108 | + | 6.56350i | 0.163257 | + | 0.315058i | ||||
\(435\) | −7.89779 | + | 0.727649i | −0.378670 | + | 0.0348881i | ||||
\(436\) | 0.320411 | + | 0.142656i | 0.0153449 | + | 0.00683200i | ||||
\(437\) | 0.216079 | − | 0.0962046i | 0.0103365 | − | 0.00460209i | ||||
\(438\) | 4.07008 | − | 1.81212i | 0.194476 | − | 0.0865863i | ||||
\(439\) | 4.14303 | + | 1.84460i | 0.197736 | + | 0.0880378i | 0.503216 | − | 0.864161i | \(-0.332150\pi\) |
−0.305480 | + | 0.952199i | \(0.598817\pi\) | |||||||
\(440\) | 28.8621 | − | 2.65916i | 1.37595 | − | 0.126770i | ||||
\(441\) | 13.7606 | − | 8.19800i | 0.655268 | − | 0.390381i | ||||
\(442\) | 15.0817 | + | 46.4167i | 0.717363 | + | 2.20782i | ||||
\(443\) | −0.813208 | − | 1.40852i | −0.0386367 | − | 0.0669207i | 0.846060 | − | 0.533087i | \(-0.178968\pi\) |
−0.884697 | + | 0.466166i | \(0.845635\pi\) | |||||||
\(444\) | −0.283676 | − | 0.0602971i | −0.0134626 | − | 0.00286157i | ||||
\(445\) | 4.25412 | + | 3.93054i | 0.201665 | + | 0.186326i | ||||
\(446\) | 2.58719 | − | 0.549925i | 0.122507 | − | 0.0260397i | ||||
\(447\) | 1.87311 | − | 5.76484i | 0.0885950 | − | 0.272667i | ||||
\(448\) | −21.7657 | + | 3.60029i | −1.02833 | + | 0.170098i | ||||
\(449\) | −35.2525 | −1.66367 | −0.831834 | − | 0.555025i | \(-0.812709\pi\) | ||||
−0.831834 | + | 0.555025i | \(0.812709\pi\) | |||||||
\(450\) | −14.5917 | + | 6.05243i | −0.687860 | + | 0.285314i | ||||
\(451\) | 17.5983 | − | 30.4811i | 0.828671 | − | 1.43530i | ||||
\(452\) | 0.0774039 | + | 0.736449i | 0.00364077 | + | 0.0346396i | ||||
\(453\) | 0.305092 | − | 0.0648493i | 0.0143345 | − | 0.00304688i | ||||
\(454\) | 3.81438 | − | 11.7395i | 0.179018 | − | 0.550960i | ||||
\(455\) | −5.15913 | − | 33.8878i | −0.241864 | − | 1.58869i | ||||
\(456\) | −0.247955 | − | 0.763127i | −0.0116115 | − | 0.0357367i | ||||
\(457\) | −8.80051 | − | 15.2429i | −0.411671 | − | 0.713035i | 0.583402 | − | 0.812184i | \(-0.301721\pi\) |
−0.995073 | + | 0.0991491i | \(0.968388\pi\) | |||||||
\(458\) | −17.8519 | − | 3.79454i | −0.834165 | − | 0.177307i | ||||
\(459\) | −24.8647 | + | 11.0705i | −1.16059 | + | 0.516726i | ||||
\(460\) | 0.00193211 | − | 0.150399i | 9.00852e−5 | − | 0.00701238i | ||||
\(461\) | 25.6978 | − | 18.6705i | 1.19687 | − | 0.869574i | 0.202893 | − | 0.979201i | \(-0.434966\pi\) |
0.993973 | + | 0.109627i | \(0.0349656\pi\) | |||||||
\(462\) | 13.8058 | + | 0.628769i | 0.642305 | + | 0.0292530i | ||||
\(463\) | −1.10512 | − | 0.802914i | −0.0513591 | − | 0.0373146i | 0.561810 | − | 0.827267i | \(-0.310105\pi\) |
−0.613169 | + | 0.789952i | \(0.710105\pi\) | |||||||
\(464\) | −14.6106 | − | 6.50504i | −0.678278 | − | 0.301989i | ||||
\(465\) | 0.745673 | + | 3.74398i | 0.0345798 | + | 0.173623i | ||||
\(466\) | 14.6264 | − | 6.51210i | 0.677556 | − | 0.301667i | ||||
\(467\) | 9.17571 | − | 10.1907i | 0.424601 | − | 0.471567i | −0.492448 | − | 0.870342i | \(-0.663898\pi\) |
0.917049 | + | 0.398775i | \(0.130564\pi\) | |||||||
\(468\) | 1.24056 | 0.0573447 | ||||||||
\(469\) | −20.2492 | − | 16.1691i | −0.935020 | − | 0.746621i | ||||
\(470\) | −11.5358 | − | 6.85930i | −0.532109 | − | 0.316396i | ||||
\(471\) | −2.63448 | + | 0.559977i | −0.121391 | + | 0.0258024i | ||||
\(472\) | −7.67875 | − | 8.52812i | −0.353443 | − | 0.392539i | ||||
\(473\) | 4.73415 | + | 45.0424i | 0.217676 | + | 2.07105i | ||||
\(474\) | −5.24714 | − | 9.08831i | −0.241009 | − | 0.417440i | ||||
\(475\) | 1.61740 | − | 0.300584i | 0.0742114 | − | 0.0137917i | ||||
\(476\) | −0.0893668 | − | 1.50762i | −0.00409612 | − | 0.0691017i | ||||
\(477\) | 10.2473 | − | 7.44513i | 0.469194 | − | 0.340889i | ||||
\(478\) | −8.57596 | + | 1.82288i | −0.392255 | + | 0.0833765i | ||||
\(479\) | −16.0460 | − | 17.8209i | −0.733161 | − | 0.814257i | 0.255119 | − | 0.966910i | \(-0.417885\pi\) |
−0.988280 | + | 0.152652i | \(0.951219\pi\) | |||||||
\(480\) | −0.990818 | − | 0.117026i | −0.0452245 | − | 0.00534147i | ||||
\(481\) | 14.2432 | − | 15.8187i | 0.649436 | − | 0.721272i | ||||
\(482\) | 6.79195 | 0.309365 | ||||||||
\(483\) | 0.240166 | − | 1.58659i | 0.0109279 | − | 0.0721921i | ||||
\(484\) | 0.689440 | + | 0.500907i | 0.0313382 | + | 0.0227685i | ||||
\(485\) | −14.5481 | + | 19.4922i | −0.660597 | + | 0.885097i | ||||
\(486\) | −2.30928 | − | 21.9713i | −0.104751 | − | 0.996640i | ||||
\(487\) | 20.3347 | − | 9.05357i | 0.921451 | − | 0.410256i | 0.109503 | − | 0.993986i | \(-0.465074\pi\) |
0.811948 | + | 0.583730i | \(0.198407\pi\) | |||||||
\(488\) | −2.72043 | + | 25.8832i | −0.123148 | + | 1.17168i | ||||
\(489\) | 14.9625 | − | 10.8709i | 0.676628 | − | 0.491599i | ||||
\(490\) | 2.24081 | − | 21.4954i | 0.101229 | − | 0.971065i | ||||
\(491\) | −18.3293 | − | 13.3170i | −0.827190 | − | 0.600988i | 0.0915732 | − | 0.995798i | \(-0.470810\pi\) |
−0.918763 | + | 0.394810i | \(0.870810\pi\) | |||||||
\(492\) | −0.414606 | + | 0.460466i | −0.0186919 | + | 0.0207594i | ||||
\(493\) | 12.8241 | − | 22.2119i | 0.577567 | − | 1.00038i | ||||
\(494\) | 2.57466 | + | 0.547262i | 0.115840 | + | 0.0246225i | ||||
\(495\) | −21.7279 | − | 7.36972i | −0.976597 | − | 0.331244i | ||||
\(496\) | −2.37880 | + | 7.32120i | −0.106811 | + | 0.328732i | ||||
\(497\) | −19.5443 | + | 19.8138i | −0.876680 | + | 0.888769i | ||||
\(498\) | −12.7033 | + | 9.22947i | −0.569248 | + | 0.413583i | ||||
\(499\) | −7.86655 | − | 13.6253i | −0.352155 | − | 0.609951i | 0.634472 | − | 0.772946i | \(-0.281218\pi\) |
−0.986627 | + | 0.162995i | \(0.947884\pi\) | |||||||
\(500\) | 0.256767 | − | 1.01413i | 0.0114830 | − | 0.0453535i | ||||
\(501\) | −4.54023 | + | 7.86391i | −0.202843 | + | 0.351334i | ||||
\(502\) | 1.91326 | + | 0.851839i | 0.0853930 | + | 0.0380194i | ||||
\(503\) | −0.682974 | + | 2.10198i | −0.0304523 | + | 0.0937226i | −0.965127 | − | 0.261780i | \(-0.915690\pi\) |
0.934675 | + | 0.355503i | \(0.115690\pi\) | |||||||
\(504\) | 16.9346 | + | 4.41355i | 0.754327 | + | 0.196595i | ||||
\(505\) | 16.7678 | − | 14.7122i | 0.746157 | − | 0.654684i | ||||
\(506\) | −2.97827 | + | 3.30770i | −0.132400 | + | 0.147045i | ||||
\(507\) | 8.67776 | − | 15.0303i | 0.385393 | − | 0.667520i | ||||
\(508\) | −0.865254 | − | 0.183915i | −0.0383894 | − | 0.00815993i | ||||
\(509\) | 1.98643 | − | 18.8996i | 0.0880469 | − | 0.837710i | −0.857993 | − | 0.513661i | \(-0.828289\pi\) |
0.946040 | − | 0.324049i | \(-0.105044\pi\) | |||||||
\(510\) | −3.50322 | + | 15.4996i | −0.155125 | + | 0.686333i | ||||
\(511\) | 3.56157 | − | 9.47156i | 0.157555 | − | 0.418997i | ||||
\(512\) | −19.4202 | − | 14.1096i | −0.858259 | − | 0.623561i | ||||
\(513\) | −0.153439 | + | 1.45988i | −0.00677451 | + | 0.0644552i | ||||
\(514\) | 1.84940 | + | 17.5959i | 0.0815735 | + | 0.776120i | ||||
\(515\) | 12.4988 | + | 1.47624i | 0.550764 | + | 0.0650509i | ||||
\(516\) | 0.0833424 | − | 0.792950i | 0.00366894 | − | 0.0349077i | ||||
\(517\) | −6.02359 | − | 18.5387i | −0.264917 | − | 0.815331i | ||||
\(518\) | 11.2052 | − | 7.38629i | 0.492326 | − | 0.324535i | ||||
\(519\) | 2.01003 | + | 6.18623i | 0.0882304 | + | 0.271545i | ||||
\(520\) | 22.4008 | − | 30.0135i | 0.982339 | − | 1.31618i | ||||
\(521\) | 3.82307 | + | 4.24595i | 0.167492 | + | 0.186018i | 0.821047 | − | 0.570860i | \(-0.193390\pi\) |
−0.653556 | + | 0.756878i | \(0.726723\pi\) | |||||||
\(522\) | 8.88800 | + | 9.87112i | 0.389017 | + | 0.432047i | ||||
\(523\) | −3.65009 | − | 1.62512i | −0.159607 | − | 0.0710617i | 0.325378 | − | 0.945584i | \(-0.394508\pi\) |
−0.484985 | + | 0.874522i | \(0.661175\pi\) | |||||||
\(524\) | 0.685781 | 0.0299585 | ||||||||
\(525\) | 4.19526 | − | 10.3422i | 0.183096 | − | 0.451370i | ||||
\(526\) | −1.95017 | −0.0850315 | ||||||||
\(527\) | −11.2778 | − | 5.02121i | −0.491270 | − | 0.218727i | ||||
\(528\) | 9.62977 | + | 10.6949i | 0.419082 | + | 0.465438i | ||||
\(529\) | −15.0442 | − | 16.7083i | −0.654095 | − | 0.726447i | ||||
\(530\) | 0.219535 | − | 17.0889i | 0.00953598 | − | 0.742296i | ||||
\(531\) | 2.80713 | + | 8.63946i | 0.121819 | + | 0.374921i | ||||
\(532\) | −0.0728259 | − | 0.0364807i | −0.00315740 | − | 0.00158164i | ||||
\(533\) | −14.0536 | − | 43.2525i | −0.608729 | − | 1.87347i | ||||
\(534\) | −0.315396 | + | 3.00080i | −0.0136485 | + | 0.129857i | ||||
\(535\) | 0.223305 | + | 1.12120i | 0.00965432 | + | 0.0484737i | ||||
\(536\) | −2.95935 | − | 28.1564i | −0.127825 | − | 1.21617i | ||||
\(537\) | −0.263852 | + | 2.51038i | −0.0113860 | + | 0.108331i | ||||
\(538\) | −6.01913 | − | 4.37315i | −0.259503 | − | 0.188540i | ||||
\(539\) | 23.0368 | − | 21.3209i | 0.992266 | − | 0.918355i | ||||
\(540\) | 0.802345 | + | 0.477080i | 0.0345274 | + | 0.0205302i | ||||
\(541\) | −4.13418 | + | 39.3340i | −0.177742 | + | 1.69110i | 0.434690 | + | 0.900580i | \(0.356858\pi\) |
−0.612432 | + | 0.790523i | \(0.709809\pi\) | |||||||
\(542\) | −6.97046 | − | 1.48162i | −0.299407 | − | 0.0636409i | ||||
\(543\) | 4.65030 | − | 8.05456i | 0.199564 | − | 0.345654i | ||||
\(544\) | 2.15888 | − | 2.39768i | 0.0925611 | − | 0.102800i | ||||
\(545\) | −8.34631 | + | 0.768973i | −0.357517 | + | 0.0329392i | ||||
\(546\) | 12.5403 | − | 12.7132i | 0.536675 | − | 0.544075i | ||||
\(547\) | −4.12875 | + | 12.7070i | −0.176533 | + | 0.543312i | −0.999700 | − | 0.0244869i | \(-0.992205\pi\) |
0.823167 | + | 0.567799i | \(0.192205\pi\) | |||||||
\(548\) | 1.86563 | + | 0.830633i | 0.0796959 | + | 0.0354829i | ||||
\(549\) | 10.3009 | − | 17.8416i | 0.439631 | − | 0.761463i | ||||
\(550\) | −25.5040 | + | 17.5468i | −1.08750 | + | 0.748197i | ||||
\(551\) | −0.691631 | − | 1.19794i | −0.0294645 | − | 0.0510340i | ||||
\(552\) | 1.41837 | − | 1.03051i | 0.0603698 | − | 0.0438612i | ||||
\(553\) | −23.0648 | − | 6.01121i | −0.980813 | − | 0.255623i | ||||
\(554\) | −7.83835 | + | 24.1240i | −0.333020 | + | 1.02493i | ||||
\(555\) | 6.61834 | − | 2.05682i | 0.280933 | − | 0.0873072i | ||||
\(556\) | −0.783479 | − | 0.166534i | −0.0332269 | − | 0.00706260i | ||||
\(557\) | −4.47486 | + | 7.75068i | −0.189606 | + | 0.328407i | −0.945119 | − | 0.326727i | \(-0.894054\pi\) |
0.755513 | + | 0.655134i | \(0.227388\pi\) | |||||||
\(558\) | 4.27803 | − | 4.75123i | 0.181103 | − | 0.201136i | ||||
\(559\) | 47.3445 | + | 34.3978i | 2.00246 | + | 1.45487i | ||||
\(560\) | 17.5746 | − | 14.0579i | 0.742663 | − | 0.594056i | ||||
\(561\) | −18.6716 | + | 13.5657i | −0.788316 | + | 0.572745i | ||||
\(562\) | 1.52103 | − | 14.4716i | 0.0641607 | − | 0.610448i | ||||
\(563\) | 15.9800 | − | 7.11477i | 0.673478 | − | 0.299852i | −0.0413574 | − | 0.999144i | \(-0.513168\pi\) |
0.714836 | + | 0.699293i | \(0.246502\pi\) | |||||||
\(564\) | 0.0358700 | + | 0.341280i | 0.00151040 | + | 0.0143705i | ||||
\(565\) | −10.2168 | − | 14.4490i | −0.429825 | − | 0.607873i | ||||
\(566\) | 23.2056 | + | 16.8598i | 0.975403 | + | 0.708672i | ||||
\(567\) | −6.41053 | − | 5.11886i | −0.269217 | − | 0.214972i | ||||
\(568\) | −30.4073 | −1.27586 | ||||||||
\(569\) | 23.0921 | − | 25.6463i | 0.968070 | − | 1.07515i | −0.0290700 | − | 0.999577i | \(-0.509255\pi\) |
0.997140 | − | 0.0755735i | \(-0.0240788\pi\) | |||||||
\(570\) | 0.629467 | + | 0.581588i | 0.0263655 | + | 0.0243600i | ||||
\(571\) | −9.04589 | − | 10.0465i | −0.378559 | − | 0.420432i | 0.523513 | − | 0.852017i | \(-0.324621\pi\) |
−0.902072 | + | 0.431586i | \(0.857954\pi\) | |||||||
\(572\) | 2.37795 | − | 0.505449i | 0.0994272 | − | 0.0211339i | ||||
\(573\) | −13.9536 | + | 10.1379i | −0.582920 | + | 0.423516i | ||||
\(574\) | −1.69669 | − | 28.6232i | −0.0708184 | − | 1.19471i | ||||
\(575\) | 1.71666 | + | 3.15802i | 0.0715898 | + | 0.131699i | ||||
\(576\) | 9.54010 | + | 16.5239i | 0.397504 | + | 0.688498i | ||||
\(577\) | −0.627190 | − | 5.96732i | −0.0261103 | − | 0.248423i | −0.999790 | − | 0.0205013i | \(-0.993474\pi\) |
0.973680 | − | 0.227921i | \(-0.0731929\pi\) | |||||||
\(578\) | −18.6785 | − | 20.7446i | −0.776924 | − | 0.862862i | ||||
\(579\) | −17.7010 | + | 3.76247i | −0.735630 | + | 0.156363i | ||||
\(580\) | −0.875924 | + | 0.0807017i | −0.0363708 | + | 0.00335096i | ||||
\(581\) | −5.33768 | + | 35.2619i | −0.221444 | + | 1.46291i | ||||
\(582\) | −12.6710 | −0.525229 | ||||||||
\(583\) | 16.6091 | − | 18.4463i | 0.687880 | − | 0.763968i | ||||
\(584\) | 10.0999 | − | 4.49678i | 0.417938 | − | 0.186078i | ||||
\(585\) | −25.8626 | + | 14.4921i | −1.06929 | + | 0.599173i | ||||
\(586\) | −7.02658 | − | 3.12844i | −0.290265 | − | 0.129234i | ||||
\(587\) | 28.7281 | + | 20.8722i | 1.18574 | + | 0.861488i | 0.992807 | − | 0.119724i | \(-0.0382010\pi\) |
0.192930 | + | 0.981213i | \(0.438201\pi\) | |||||||
\(588\) | −0.474728 | + | 0.282823i | −0.0195774 | + | 0.0116634i | ||||
\(589\) | −0.538644 | + | 0.391348i | −0.0221944 | + | 0.0161252i | ||||
\(590\) | 11.6073 | + | 3.93699i | 0.477865 | + | 0.162083i | ||||
\(591\) | −5.25936 | + | 2.34162i | −0.216341 | + | 0.0963213i | ||||
\(592\) | 13.6700 | + | 2.90566i | 0.561835 | + | 0.119422i | ||||
\(593\) | −1.01246 | − | 1.75364i | −0.0415768 | − | 0.0720132i | 0.844488 | − | 0.535574i | \(-0.179905\pi\) |
−0.886065 | + | 0.463561i | \(0.846571\pi\) | |||||||
\(594\) | −8.53601 | − | 26.2712i | −0.350237 | − | 1.07792i | ||||
\(595\) | 19.4750 | + | 30.3863i | 0.798396 | + | 1.24572i | ||||
\(596\) | 0.207742 | − | 0.639364i | 0.00850944 | − | 0.0261894i | ||||
\(597\) | −5.45359 | + | 1.15920i | −0.223201 | + | 0.0474428i | ||||
\(598\) | 0.601163 | + | 5.71969i | 0.0245834 | + | 0.233895i | ||||
\(599\) | −9.60033 | + | 16.6283i | −0.392259 | + | 0.679412i | −0.992747 | − | 0.120221i | \(-0.961640\pi\) |
0.600488 | + | 0.799634i | \(0.294973\pi\) | |||||||
\(600\) | 11.2633 | − | 4.67187i | 0.459824 | − | 0.190728i | ||||
\(601\) | −48.2192 | −1.96690 | −0.983452 | − | 0.181170i | \(-0.942012\pi\) | ||||
−0.983452 | + | 0.181170i | \(0.942012\pi\) | |||||||
\(602\) | 23.4156 | + | 28.5144i | 0.954348 | + | 1.16216i | ||||
\(603\) | −6.92540 | + | 21.3142i | −0.282024 | + | 0.867981i | ||||
\(604\) | 0.0338370 | − | 0.00719227i | 0.00137681 | − | 0.000292649i | ||||
\(605\) | −20.2247 | − | 2.38875i | −0.822252 | − | 0.0971165i | ||||
\(606\) | 11.3670 | + | 2.41613i | 0.461752 | + | 0.0981484i | ||||
\(607\) | 14.3402 | + | 24.8380i | 0.582051 | + | 1.00814i | 0.995236 | + | 0.0974954i | \(0.0310831\pi\) |
−0.413184 | + | 0.910647i | \(0.635584\pi\) | |||||||
\(608\) | −0.0537710 | − | 0.165490i | −0.00218070 | − | 0.00671151i | ||||
\(609\) | −9.37465 | − | 0.426957i | −0.379880 | − | 0.0173012i | ||||
\(610\) | −10.9790 | − | 25.5372i | −0.444527 | − | 1.03397i | ||||
\(611\) | −23.0095 | − | 10.2445i | −0.930866 | − | 0.414448i | ||||
\(612\) | −1.19325 | + | 0.531271i | −0.0482345 | + | 0.0214754i | ||||
\(613\) | −16.5465 | + | 7.36699i | −0.668308 | + | 0.297550i | −0.712705 | − | 0.701464i | \(-0.752530\pi\) |
0.0443968 | + | 0.999014i | \(0.485863\pi\) | |||||||
\(614\) | 23.2220 | + | 10.3391i | 0.937163 | + | 0.417252i | ||||
\(615\) | 3.26441 | − | 14.4430i | 0.131634 | − | 0.582398i | ||||
\(616\) | 34.2592 | + | 1.56029i | 1.38034 | + | 0.0628660i | ||||
\(617\) | 5.43643 | + | 16.7316i | 0.218862 | + | 0.673589i | 0.998857 | + | 0.0478027i | \(0.0152219\pi\) |
−0.779994 | + | 0.625787i | \(0.784778\pi\) | |||||||
\(618\) | 3.27827 | + | 5.67813i | 0.131871 | + | 0.228408i | ||||
\(619\) | 13.6810 | + | 2.90800i | 0.549888 | + | 0.116882i | 0.474473 | − | 0.880270i | \(-0.342639\pi\) |
0.0754146 | + | 0.997152i | \(0.475972\pi\) | |||||||
\(620\) | 0.0827008 | + | 0.415235i | 0.00332134 | + | 0.0166762i | ||||
\(621\) | −3.13724 | + | 0.666842i | −0.125893 | + | 0.0267594i | ||||
\(622\) | 13.3314 | − | 41.0297i | 0.534539 | − | 1.64514i | ||||
\(623\) | 4.34918 | + | 5.29622i | 0.174246 | + | 0.212189i | ||||
\(624\) | 18.5956 | 0.744419 | ||||||||
\(625\) | 6.49405 | + | 24.1418i | 0.259762 | + | 0.965673i | ||||
\(626\) | −4.95589 | + | 8.58385i | −0.198077 | + | 0.343080i | ||||
\(627\) | 0.130109 | + | 1.23791i | 0.00519606 | + | 0.0494372i | ||||
\(628\) | −0.292184 | + | 0.0621056i | −0.0116594 | + | 0.00247828i | ||||
\(629\) | −6.92576 | + | 21.3153i | −0.276148 | + | 0.849896i | ||||
\(630\) | −18.0832 | + | 4.72932i | −0.720454 | + | 0.188421i | ||||
\(631\) | −3.59361 | − | 11.0600i | −0.143059 | − | 0.440291i | 0.853697 | − | 0.520770i | \(-0.174355\pi\) |
−0.996756 | + | 0.0804789i | \(0.974355\pi\) | |||||||
\(632\) | −13.0208 | − | 22.5527i | −0.517940 | − | 0.897098i | ||||
\(633\) | −8.29202 | − | 1.76252i | −0.329578 | − | 0.0700540i | ||||
\(634\) | −13.2255 | + | 5.88837i | −0.525251 | + | 0.233857i | ||||
\(635\) | 20.1870 | − | 6.27362i | 0.801095 | − | 0.248961i | ||||
\(636\) | −0.353523 | + | 0.256850i | −0.0140181 | + | 0.0101847i | ||||
\(637\) | −0.555440 | − | 40.5548i | −0.0220073 | − | 1.60684i | ||||
\(638\) | 21.0588 | + | 15.3001i | 0.833725 | + | 0.605736i | ||||
\(639\) | 21.9891 | + | 9.79019i | 0.869876 | + | 0.387294i | ||||
\(640\) | 23.2177 | + | 2.74225i | 0.917760 | + | 0.108397i | ||||
\(641\) | −35.5808 | + | 15.8416i | −1.40536 | + | 0.625705i | −0.962597 | − | 0.270936i | \(-0.912667\pi\) |
−0.442759 | + | 0.896641i | \(0.646000\pi\) | |||||||
\(642\) | −0.398509 | + | 0.442589i | −0.0157279 | + | 0.0174676i | ||||
\(643\) | 37.0215 | 1.45999 | 0.729993 | − | 0.683455i | \(-0.239523\pi\) | ||||
0.729993 | + | 0.683455i | \(0.239523\pi\) | |||||||
\(644\) | 0.0266362 | − | 0.175964i | 0.00104961 | − | 0.00693396i | ||||
\(645\) | 7.52568 | + | 17.5047i | 0.296323 | + | 0.689247i | ||||
\(646\) | −2.71086 | + | 0.576211i | −0.106657 | + | 0.0226707i | ||||
\(647\) | 32.6067 | + | 36.2134i | 1.28190 | + | 1.42369i | 0.854346 | + | 0.519705i | \(0.173958\pi\) |
0.427555 | + | 0.903990i | \(0.359375\pi\) | |||||||
\(648\) | −0.936879 | − | 8.91380i | −0.0368041 | − | 0.350167i | ||||
\(649\) | 8.90087 | + | 15.4168i | 0.349390 | + | 0.605161i | ||||
\(650\) | −5.20176 | + | 39.6609i | −0.204030 | + | 1.55563i | ||||
\(651\) | 0.267280 | + | 4.50903i | 0.0104755 | + | 0.176723i | ||||
\(652\) | 1.65945 | − | 1.20566i | 0.0649893 | − | 0.0472175i | ||||
\(653\) | −32.4251 | + | 6.89217i | −1.26889 | + | 0.269711i | −0.792690 | − | 0.609625i | \(-0.791320\pi\) |
−0.476202 | + | 0.879336i | \(0.657987\pi\) | |||||||
\(654\) | −2.92172 | − | 3.24490i | −0.114248 | − | 0.126885i | ||||
\(655\) | −14.2969 | + | 8.01123i | −0.558626 | + | 0.313025i | ||||
\(656\) | 19.9794 | − | 22.1894i | 0.780066 | − | 0.866351i | ||||
\(657\) | −8.75163 | −0.341434 | ||||||||
\(658\) | −12.4093 | − | 9.90890i | −0.483763 | − | 0.386289i | ||||
\(659\) | −12.6920 | − | 9.22127i | −0.494409 | − | 0.359210i | 0.312468 | − | 0.949928i | \(-0.398844\pi\) |
−0.806878 | + | 0.590719i | \(0.798844\pi\) | |||||||
\(660\) | 0.749591 | + | 0.254248i | 0.0291778 | + | 0.00989658i | ||||
\(661\) | 1.19995 | + | 11.4168i | 0.0466728 | + | 0.444062i | 0.992757 | + | 0.120141i | \(0.0383346\pi\) |
−0.946084 | + | 0.323921i | \(0.894999\pi\) | |||||||
\(662\) | −42.4916 | + | 18.9185i | −1.65148 | + | 0.735287i | ||||
\(663\) | −3.11719 | + | 29.6581i | −0.121062 | + | 1.15183i | ||||
\(664\) | −31.5233 | + | 22.9030i | −1.22334 | + | 0.888809i | ||||
\(665\) | 1.94441 | − | 0.0902105i | 0.0754010 | − | 0.00349821i | ||||
\(666\) | −9.39030 | − | 6.82245i | −0.363867 | − | 0.264365i | ||||
\(667\) | 2.02235 | − | 2.24605i | 0.0783059 | − | 0.0869675i | ||||
\(668\) | −0.503546 | + | 0.872167i | −0.0194828 | + | 0.0337452i | ||||
\(669\) | 1.58085 | + | 0.336020i | 0.0611192 | + | 0.0129913i | ||||
\(670\) | 17.4580 | + | 24.6897i | 0.674462 | + | 0.953848i | ||||
\(671\) | 12.4758 | − | 38.3966i | 0.481623 | − | 1.48228i | ||||
\(672\) | −1.14234 | − | 0.297721i | −0.0440668 | − | 0.0114848i | ||||
\(673\) | 14.5048 | − | 10.5383i | 0.559117 | − | 0.406222i | −0.272019 | − | 0.962292i | \(-0.587691\pi\) |
0.831136 | + | 0.556070i | \(0.187691\pi\) | |||||||
\(674\) | 0.540763 | + | 0.936628i | 0.0208294 | + | 0.0360776i | ||||
\(675\) | −22.3002 | − | 0.573058i | −0.858334 | − | 0.0220570i | ||||
\(676\) | 0.962428 | − | 1.66697i | 0.0370165 | − | 0.0641144i | ||||
\(677\) | 5.52079 | + | 2.45801i | 0.212181 | + | 0.0944692i | 0.510075 | − | 0.860130i | \(-0.329618\pi\) |
−0.297894 | + | 0.954599i | \(0.596284\pi\) | |||||||
\(678\) | 2.84879 | − | 8.76767i | 0.109407 | − | 0.336720i | ||||
\(679\) | −20.2100 | + | 20.4887i | −0.775590 | + | 0.786285i | ||||
\(680\) | −8.69327 | + | 38.4623i | −0.333372 | + | 1.47496i | ||||
\(681\) | 5.04677 | − | 5.60501i | 0.193393 | − | 0.214784i | ||||
\(682\) | 6.26447 | − | 10.8504i | 0.239879 | − | 0.415483i | ||||
\(683\) | 2.40969 | + | 0.512195i | 0.0922042 | + | 0.0195986i | 0.253783 | − | 0.967261i | \(-0.418325\pi\) |
−0.161579 | + | 0.986860i | \(0.551659\pi\) | |||||||
\(684\) | −0.00736353 | + | 0.0700593i | −0.000281552 | + | 0.00267879i | ||||
\(685\) | −48.5974 | + | 4.47743i | −1.85681 | + | 0.171074i | ||||
\(686\) | 6.10964 | − | 24.8310i | 0.233267 | − | 0.948052i | ||||
\(687\) | −9.02192 | − | 6.55481i | −0.344208 | − | 0.250082i | ||||
\(688\) | −4.01619 | + | 38.2115i | −0.153116 | + | 1.45680i | ||||
\(689\) | −3.35255 | − | 31.8974i | −0.127722 | − | 1.21519i | ||||
\(690\) | −0.783539 | + | 1.70072i | −0.0298288 | + | 0.0647453i | ||||
\(691\) | −1.73108 | + | 16.4701i | −0.0658535 | + | 0.626554i | 0.910965 | + | 0.412484i | \(0.135339\pi\) |
−0.976818 | + | 0.214070i | \(0.931328\pi\) | |||||||
\(692\) | 0.222927 | + | 0.686099i | 0.00847441 | + | 0.0260816i | ||||
\(693\) | −24.2723 | − | 12.1587i | −0.922029 | − | 0.461872i | ||||
\(694\) | −2.41651 | − | 7.43725i | −0.0917295 | − | 0.282314i | ||||
\(695\) | 18.2791 | − | 5.68070i | 0.693366 | − | 0.215481i | ||||
\(696\) | −6.86064 | − | 7.61951i | −0.260052 | − | 0.288817i | ||||
\(697\) | 32.0407 | + | 35.5848i | 1.21363 | + | 1.34787i | ||||
\(698\) | 37.0371 | + | 16.4900i | 1.40187 | + | 0.624155i | ||||
\(699\) | 9.78294 | 0.370025 | ||||||||
\(700\) | 0.465285 | − | 1.14703i | 0.0175861 | − | 0.0433535i | ||||
\(701\) | 30.3357 | 1.14576 | 0.572881 | − | 0.819639i | \(-0.305826\pi\) | ||||
0.572881 | + | 0.819639i | \(0.305826\pi\) | |||||||
\(702\) | −32.6068 | − | 14.5175i | −1.23066 | − | 0.547926i | ||||
\(703\) | 0.808806 | + | 0.898270i | 0.0305047 | + | 0.0338789i | ||||
\(704\) | 25.0194 | + | 27.7868i | 0.942952 | + | 1.04725i | ||||
\(705\) | −4.73461 | − | 6.69585i | −0.178316 | − | 0.252180i | ||||
\(706\) | −9.31051 | − | 28.6548i | −0.350406 | − | 1.07844i | ||||
\(707\) | 22.0370 | − | 14.5265i | 0.828788 | − | 0.546326i | ||||
\(708\) | −0.0968432 | − | 0.298053i | −0.00363959 | − | 0.0112015i | ||||
\(709\) | 0.103365 | − | 0.983449i | 0.00388194 | − | 0.0369342i | −0.992409 | − | 0.122978i | \(-0.960756\pi\) |
0.996291 | + | 0.0860433i | \(0.0274224\pi\) | |||||||
\(710\) | 28.3321 | − | 15.8758i | 1.06329 | − | 0.595809i | ||||
\(711\) | 2.15478 | + | 20.5014i | 0.0808106 | + | 0.768862i | ||||
\(712\) | −0.782658 | + | 7.44650i | −0.0293314 | + | 0.279069i | ||||
\(713\) | −1.17691 | − | 0.855075i | −0.0440756 | − | 0.0320228i | ||||
\(714\) | −6.61767 | + | 17.5989i | −0.247660 | + | 0.658621i | ||||
\(715\) | −43.6700 | + | 38.3164i | −1.63317 | + | 1.43295i | ||||
\(716\) | −0.0292631 | + | 0.278420i | −0.00109362 | + | 0.0104051i | ||||
\(717\) | −5.24016 | − | 1.11383i | −0.195697 | − | 0.0415967i | ||||
\(718\) | −14.1874 | + | 24.5734i | −0.529470 | + | 0.917069i | ||||
\(719\) | −27.6836 | + | 30.7457i | −1.03242 | + | 1.14662i | −0.0433705 | + | 0.999059i | \(0.513810\pi\) |
−0.989053 | + | 0.147563i | \(0.952857\pi\) | |||||||
\(720\) | −16.7301 | − | 9.94782i | −0.623493 | − | 0.370733i | ||||
\(721\) | 14.4102 | + | 3.75564i | 0.536665 | + | 0.139867i | ||||
\(722\) | 8.06056 | − | 24.8078i | 0.299983 | − | 0.923252i | ||||
\(723\) | 3.79128 | + | 1.68799i | 0.140999 | + | 0.0627769i | ||||
\(724\) | 0.515754 | − | 0.893311i | 0.0191678 | − | 0.0331997i | ||||
\(725\) | 17.3182 | − | 11.9149i | 0.643181 | − | 0.442508i | ||||
\(726\) | −5.30467 | − | 9.18796i | −0.196875 | − | 0.340997i | ||||
\(727\) | −7.43646 | + | 5.40290i | −0.275803 | + | 0.200383i | −0.717085 | − | 0.696986i | \(-0.754524\pi\) |
0.441282 | + | 0.897369i | \(0.354524\pi\) | |||||||
\(728\) | 31.1188 | − | 31.5479i | 1.15334 | − | 1.16924i | ||||
\(729\) | 1.29699 | − | 3.99173i | 0.0480367 | − | 0.147842i | ||||
\(730\) | −7.06287 | + | 9.46314i | −0.261408 | + | 0.350247i | ||||
\(731\) | −60.2703 | − | 12.8108i | −2.22918 | − | 0.473826i | ||||
\(732\) | −0.355370 | + | 0.615518i | −0.0131348 | + | 0.0227502i | ||||
\(733\) | 10.2382 | − | 11.3707i | 0.378157 | − | 0.419986i | −0.523780 | − | 0.851854i | \(-0.675479\pi\) |
0.901937 | + | 0.431868i | \(0.142145\pi\) | |||||||
\(734\) | 17.0911 | + | 12.4174i | 0.630844 | + | 0.458335i | ||||
\(735\) | 6.59304 | − | 11.4419i | 0.243188 | − | 0.422041i | ||||
\(736\) | 0.307585 | − | 0.223474i | 0.0113377 | − | 0.00823735i | ||||
\(737\) | −4.59071 | + | 43.6776i | −0.169101 | + | 1.60889i | ||||
\(738\) | −22.6547 | + | 10.0865i | −0.833932 | + | 0.371290i | ||||
\(739\) | −4.20983 | − | 40.0539i | −0.154861 | − | 1.47341i | −0.745519 | − | 0.666484i | \(-0.767799\pi\) |
0.590658 | − | 0.806922i | \(-0.298868\pi\) | |||||||
\(740\) | 0.734024 | − | 0.228117i | 0.0269833 | − | 0.00838574i | ||||
\(741\) | 1.30117 | + | 0.945358i | 0.0477998 | + | 0.0347286i | ||||
\(742\) | 3.02651 | − | 19.9938i | 0.111107 | − | 0.733996i | ||||
\(743\) | 18.1378 | 0.665413 | 0.332706 | − | 0.943030i | \(-0.392038\pi\) | ||||
0.332706 | + | 0.943030i | \(0.392038\pi\) | |||||||
\(744\) | −3.30221 | + | 3.66747i | −0.121065 | + | 0.134456i | ||||
\(745\) | 3.13807 | + | 15.7560i | 0.114970 | + | 0.577256i | ||||
\(746\) | 21.4365 | + | 23.8076i | 0.784846 | + | 0.871660i | ||||
\(747\) | 30.1702 | − | 6.41288i | 1.10387 | − | 0.234635i | ||||
\(748\) | −2.07082 | + | 1.50454i | −0.0757168 | + | 0.0550115i | ||||
\(749\) | 0.0800418 | + | 1.35031i | 0.00292466 | + | 0.0493392i | ||||
\(750\) | −8.05546 | + | 10.2337i | −0.294144 | + | 0.373682i | ||||
\(751\) | −20.2543 | − | 35.0816i | −0.739092 | − | 1.28014i | −0.952905 | − | 0.303270i | \(-0.901922\pi\) |
0.213813 | − | 0.976875i | \(-0.431412\pi\) | |||||||
\(752\) | −1.72854 | − | 16.4460i | −0.0630334 | − | 0.599723i | ||||
\(753\) | 0.856281 | + | 0.950996i | 0.0312046 | + | 0.0346562i | ||||
\(754\) | 32.8991 | − | 6.99292i | 1.19812 | − | 0.254667i | ||||
\(755\) | −0.621401 | + | 0.545222i | −0.0226151 | + | 0.0198427i | ||||
\(756\) | 0.863093 | + | 0.689187i | 0.0313904 | + | 0.0250655i | ||||
\(757\) | −24.9165 | −0.905607 | −0.452803 | − | 0.891610i | \(-0.649576\pi\) | ||||
−0.452803 | + | 0.891610i | \(0.649576\pi\) | |||||||
\(758\) | 17.1015 | − | 18.9931i | 0.621153 | − | 0.689861i | ||||
\(759\) | −2.48453 | + | 1.10619i | −0.0901828 | + | 0.0401520i | ||||
\(760\) | 1.56203 | + | 1.44321i | 0.0566606 | + | 0.0523509i | ||||
\(761\) | −36.2547 | − | 16.1416i | −1.31423 | − | 0.585134i | −0.374557 | − | 0.927204i | \(-0.622205\pi\) |
−0.939674 | + | 0.342070i | \(0.888872\pi\) | |||||||
\(762\) | 8.90936 | + | 6.47303i | 0.322752 | + | 0.234493i | ||||
\(763\) | −9.90704 | − | 0.451204i | −0.358659 | − | 0.0163347i | ||||
\(764\) | −1.54756 | + | 1.12437i | −0.0559887 | + | 0.0406782i | ||||
\(765\) | 18.6703 | − | 25.0152i | 0.675024 | − | 0.904428i | ||||
\(766\) | −16.0850 | + | 7.16150i | −0.581174 | + | 0.258755i | ||||
\(767\) | 22.4994 | + | 4.78240i | 0.812408 | + | 0.172683i | ||||
\(768\) | −0.945191 | − | 1.63712i | −0.0341066 | − | 0.0590744i | ||||
\(769\) | −0.311588 | − | 0.958970i | −0.0112362 | − | 0.0345813i | 0.945281 | − | 0.326257i | \(-0.105787\pi\) |
−0.956517 | + | 0.291675i | \(0.905787\pi\) | |||||||
\(770\) | −32.7358 | + | 16.4332i | −1.17972 | + | 0.592210i | ||||
\(771\) | −3.34072 | + | 10.2817i | −0.120313 | + | 0.370285i | ||||
\(772\) | −1.96318 | + | 0.417286i | −0.0706563 | + | 0.0150185i | ||||
\(773\) | −3.79249 | − | 36.0832i | −0.136407 | − | 1.29782i | −0.821853 | − | 0.569699i | \(-0.807060\pi\) |
0.685447 | − | 0.728123i | \(-0.259607\pi\) | |||||||
\(774\) | 15.9553 | − | 27.6354i | 0.573502 | − | 0.993335i | ||||
\(775\) | −6.57485 | − | 7.69056i | −0.236176 | − | 0.276253i | ||||
\(776\) | −31.4431 | −1.12874 | ||||||||
\(777\) | 8.09044 | − | 1.33825i | 0.290243 | − | 0.0480095i | ||||
\(778\) | −8.44894 | + | 26.0032i | −0.302909 | + | 0.932259i | ||||
\(779\) | 2.52607 | − | 0.536932i | 0.0905057 | − | 0.0192376i | ||||
\(780\) | 0.892234 | − | 0.499961i | 0.0319471 | − | 0.0179015i | ||||
\(781\) | 46.1386 | + | 9.80706i | 1.65097 | + | 0.350924i | ||||
\(782\) | −3.02771 | − | 5.24415i | −0.108271 | − | 0.187530i | ||||
\(783\) | 5.79626 | + | 17.8391i | 0.207142 | + | 0.637516i | ||||
\(784\) | 22.8767 | − | 13.6289i | 0.817024 | − | 0.486748i | ||||
\(785\) | 5.36583 | − | 4.70802i | 0.191515 | − | 0.168036i | ||||
\(786\) | −7.79947 | − | 3.47255i | −0.278198 | − | 0.123862i | ||||
\(787\) | −21.3276 | + | 9.49565i | −0.760246 | + | 0.338484i | −0.749977 | − | 0.661464i | \(-0.769936\pi\) |
−0.0102693 | + | 0.999947i | \(0.503269\pi\) | |||||||
\(788\) | −0.583303 | + | 0.259703i | −0.0207793 | + | 0.00925154i | ||||
\(789\) | −1.08859 | − | 0.484671i | −0.0387548 | − | 0.0172548i | ||||
\(790\) | 23.9071 | + | 14.2153i | 0.850577 | + | 0.505759i | ||||
\(791\) | −9.63339 | − | 18.5908i | −0.342524 | − | 0.661012i | ||||
\(792\) | −9.16556 | − | 28.2087i | −0.325684 | − | 1.00235i | ||||
\(793\) | −26.0832 | − | 45.1775i | −0.926242 | − | 1.60430i | ||||
\(794\) | 35.7359 | + | 7.59591i | 1.26822 | + | 0.269569i | ||||
\(795\) | 4.36962 | − | 9.48452i | 0.154974 | − | 0.336381i | ||||
\(796\) | −0.604844 | + | 0.128564i | −0.0214381 | + | 0.00455682i | ||||
\(797\) | 6.64062 | − | 20.4377i | 0.235223 | − | 0.723942i | −0.761869 | − | 0.647731i | \(-0.775718\pi\) |
0.997092 | − | 0.0762104i | \(-0.0242821\pi\) | |||||||
\(798\) | 0.643533 | + | 0.783663i | 0.0227808 | + | 0.0277414i | ||||
\(799\) | 26.5194 | 0.938190 | ||||||||
\(800\) | 2.44255 | − | 1.01313i | 0.0863571 | − | 0.0358197i | ||||
\(801\) | 2.96352 | − | 5.13297i | 0.104711 | − | 0.181365i | ||||
\(802\) | −4.97389 | − | 47.3234i | −0.175634 | − | 1.67105i | ||||
\(803\) | −16.7755 | + | 3.56574i | −0.591995 | + | 0.125832i | ||||
\(804\) | 0.238919 | − | 0.735318i | 0.00842604 | − | 0.0259327i | ||||
\(805\) | 1.50030 | + | 3.97960i | 0.0528786 | + | 0.140262i | ||||
\(806\) | −5.00267 | − | 15.3966i | −0.176211 | − | 0.542323i | ||||
\(807\) | −2.27304 | − | 3.93702i | −0.0800149 | − | 0.138590i | ||||
\(808\) | 28.2072 | + | 5.99563i | 0.992327 | + | 0.210926i | ||||
\(809\) | 18.3690 | − | 8.17841i | 0.645820 | − | 0.287537i | −0.0575704 | − | 0.998341i | \(-0.518335\pi\) |
0.703390 | + | 0.710804i | \(0.251669\pi\) | |||||||
\(810\) | 5.52690 | + | 7.81633i | 0.194195 | + | 0.274638i | ||||
\(811\) | −24.3807 | + | 17.7136i | −0.856123 | + | 0.622009i | −0.926827 | − | 0.375488i | \(-0.877475\pi\) |
0.0707047 | + | 0.997497i | \(0.477475\pi\) | |||||||
\(812\) | −1.03972 | − | 0.0473527i | −0.0364870 | − | 0.00166175i | ||||
\(813\) | −3.52270 | − | 2.55939i | −0.123547 | − | 0.0897618i | ||||
\(814\) | −20.7795 | − | 9.25161i | −0.728320 | − | 0.324269i | ||||
\(815\) | −20.5112 | + | 44.5208i | −0.718476 | + | 1.55950i | ||||
\(816\) | −17.8865 | + | 7.96360i | −0.626154 | + | 0.278782i | ||||
\(817\) | −2.22361 | + | 2.46957i | −0.0777942 | + | 0.0863992i | ||||
\(818\) | −0.488082 | −0.0170654 | ||||||||
\(819\) | −32.6611 | + | 12.7947i | −1.14127 | + | 0.447084i | ||||
\(820\) | 0.362048 | − | 1.60184i | 0.0126433 | − | 0.0559386i | ||||
\(821\) | −7.58856 | + | 1.61300i | −0.264843 | + | 0.0562940i | −0.338419 | − | 0.940996i | \(-0.609892\pi\) |
0.0735763 | + | 0.997290i | \(0.476559\pi\) | |||||||
\(822\) | −17.0120 | − | 18.8938i | −0.593363 | − | 0.658996i | ||||
\(823\) | −1.78564 | − | 16.9892i | −0.0622434 | − | 0.592207i | −0.980541 | − | 0.196315i | \(-0.937102\pi\) |
0.918297 | − | 0.395891i | \(-0.129564\pi\) | |||||||
\(824\) | 8.13505 | + | 14.0903i | 0.283398 | + | 0.490859i | ||||
\(825\) | −18.5973 | + | 3.45619i | −0.647474 | + | 0.120329i | ||||
\(826\) | 12.9666 | + | 6.49534i | 0.451164 | + | 0.226002i | ||||
\(827\) | 12.9888 | − | 9.43693i | 0.451666 | − | 0.328154i | −0.338587 | − | 0.940935i | \(-0.609949\pi\) |
0.790253 | + | 0.612781i | \(0.209949\pi\) | |||||||
\(828\) | −0.150556 | + | 0.0320016i | −0.00523218 | + | 0.00111213i | ||||
\(829\) | 9.53957 | + | 10.5948i | 0.331323 | + | 0.367972i | 0.885671 | − | 0.464314i | \(-0.153699\pi\) |
−0.554348 | + | 0.832285i | \(0.687032\pi\) | |||||||
\(830\) | 17.4142 | − | 37.7985i | 0.604454 | − | 1.31201i | ||||
\(831\) | −10.3709 | + | 11.5180i | −0.359761 | + | 0.399555i | ||||
\(832\) | 48.3137 | 1.67497 | ||||||||
\(833\) | 17.9020 | + | 38.7706i | 0.620266 | + | 1.34332i | ||||
\(834\) | 8.06734 | + | 5.86126i | 0.279349 | + | 0.202959i | ||||
\(835\) | 0.309153 | − | 24.0650i | 0.0106987 | − | 0.832803i | ||||
\(836\) | 0.0144301 | + | 0.137293i | 0.000499074 | + | 0.00474838i | ||||
\(837\) | 8.24775 | − | 3.67213i | 0.285084 | − | 0.126927i | ||||
\(838\) | 1.88267 | − | 17.9124i | 0.0650359 | − | 0.618775i | ||||
\(839\) | −15.9924 | + | 11.6192i | −0.552120 | + | 0.401138i | −0.828566 | − | 0.559891i | \(-0.810843\pi\) |
0.276447 | + | 0.961029i | \(0.410843\pi\) | |||||||
\(840\) | 13.9584 | − | 3.65056i | 0.481612 | − | 0.125956i | ||||
\(841\) | 9.16183 | + | 6.65646i | 0.315925 | + | 0.229533i | ||||
\(842\) | −7.45727 | + | 8.28214i | −0.256995 | + | 0.285421i | ||||
\(843\) | 4.44563 | − | 7.70006i | 0.153116 | − | 0.265204i | ||||
\(844\) | −0.919647 | − | 0.195477i | −0.0316556 | − | 0.00672860i | ||||
\(845\) | −0.590885 | + | 45.9954i | −0.0203271 | + | 1.58229i | ||||
\(846\) | −4.24408 | + | 13.0619i | −0.145915 | + | 0.449079i | ||||
\(847\) | −23.3177 | − | 6.07712i | −0.801204 | − | 0.208812i | ||||
\(848\) | 17.0359 | − | 12.3773i | 0.585016 | − | 0.425039i | ||||
\(849\) | 8.76327 | + | 15.1784i | 0.300755 | + | 0.520922i | ||||
\(850\) | −11.9814 | − | 40.3763i | −0.410960 | − | 1.38490i | ||||
\(851\) | −1.32052 | + | 2.28721i | −0.0452669 | + | 0.0784045i | ||||
\(852\) | −0.758602 | − | 0.337752i | −0.0259893 | − | 0.0115712i | ||||
\(853\) | 16.9930 | − | 52.2992i | 0.581831 | − | 1.79069i | −0.0298115 | − | 0.999556i | \(-0.509491\pi\) |
0.611642 | − | 0.791135i | \(-0.290509\pi\) | |||||||
\(854\) | −8.72993 | − | 31.7104i | −0.298732 | − | 1.08511i | ||||
\(855\) | −0.664915 | − | 1.54659i | −0.0227396 | − | 0.0528923i | ||||
\(856\) | −0.988904 | + | 1.09829i | −0.0338000 | + | 0.0375387i | ||||
\(857\) | −0.765940 | + | 1.32665i | −0.0261640 | + | 0.0453174i | −0.878811 | − | 0.477170i | \(-0.841663\pi\) |
0.852647 | + | 0.522488i | \(0.174996\pi\) | |||||||
\(858\) | −29.6042 | − | 6.29256i | −1.01067 | − | 0.214824i | ||||
\(859\) | 0.0477457 | − | 0.454270i | 0.00162906 | − | 0.0154995i | −0.993677 | − | 0.112275i | \(-0.964186\pi\) |
0.995306 | + | 0.0967755i | \(0.0308529\pi\) | |||||||
\(860\) | 0.834654 | + | 1.94140i | 0.0284615 | + | 0.0662013i | ||||
\(861\) | 6.16655 | − | 16.3992i | 0.210155 | − | 0.558883i | ||||
\(862\) | −22.6405 | − | 16.4493i | −0.771138 | − | 0.560264i | ||||
\(863\) | 1.57515 | − | 14.9866i | 0.0536188 | − | 0.510149i | −0.934445 | − | 0.356107i | \(-0.884104\pi\) |
0.988064 | − | 0.154043i | \(-0.0492293\pi\) | |||||||
\(864\) | 0.246639 | + | 2.34661i | 0.00839083 | + | 0.0798334i | ||||
\(865\) | −12.6624 | − | 11.6993i | −0.430536 | − | 0.397788i | ||||
\(866\) | 1.46652 | − | 13.9530i | 0.0498344 | − | 0.474143i | ||||
\(867\) | −5.27078 | − | 16.2218i | −0.179005 | − | 0.550921i | ||||
\(868\) | 0.0296434 | + | 0.500085i | 0.00100616 | + | 0.0169740i | ||||
\(869\) | 12.4834 | + | 38.4200i | 0.423471 | + | 1.30331i | ||||
\(870\) | 10.3706 | + | 3.51753i | 0.351598 | + | 0.119256i | ||||
\(871\) | 37.9717 | + | 42.1719i | 1.28662 | + | 1.42894i | ||||
\(872\) | −7.25026 | − | 8.05223i | −0.245525 | − | 0.272683i | ||||
\(873\) | 22.7382 | + | 10.1237i | 0.769571 | + | 0.342635i | ||||
\(874\) | −0.326583 | −0.0110468 | ||||||||
\(875\) | 3.69936 | + | 29.3482i | 0.125061 | + | 0.992149i | ||||
\(876\) | 0.301922 | 0.0102010 | ||||||||
\(877\) | 19.6896 | + | 8.76639i | 0.664871 | + | 0.296020i | 0.711286 | − | 0.702902i | \(-0.248113\pi\) |
−0.0464148 | + | 0.998922i | \(0.514780\pi\) | |||||||
\(878\) | −4.18995 | − | 4.65342i | −0.141404 | − | 0.157045i | ||||
\(879\) | −3.14475 | − | 3.49260i | −0.106070 | − | 0.117802i | ||||
\(880\) | −36.1220 | − | 12.2519i | −1.21767 | − | 0.413013i | ||||
\(881\) | −10.5178 | − | 32.3706i | −0.354355 | − | 1.09059i | −0.956382 | − | 0.292118i | \(-0.905640\pi\) |
0.602027 | − | 0.798476i | \(-0.294360\pi\) | |||||||
\(882\) | −21.9611 | + | 2.61275i | −0.739470 | + | 0.0879759i | ||||
\(883\) | 2.83583 | + | 8.72780i | 0.0954334 | + | 0.293714i | 0.987366 | − | 0.158454i | \(-0.0506509\pi\) |
−0.891933 | + | 0.452168i | \(0.850651\pi\) | |||||||
\(884\) | −0.345720 | + | 3.28931i | −0.0116278 | + | 0.110631i | ||||
\(885\) | 5.50077 | + | 5.08237i | 0.184906 | + | 0.170842i | ||||
\(886\) | 0.234734 | + | 2.23335i | 0.00788606 | + | 0.0750308i | ||||
\(887\) | 2.28043 | − | 21.6969i | 0.0765695 | − | 0.728510i | −0.887130 | − | 0.461520i | \(-0.847304\pi\) |
0.963699 | − | 0.266990i | \(-0.0860291\pi\) | |||||||
\(888\) | 7.24837 | + | 5.26625i | 0.243239 | + | 0.176724i | ||||
\(889\) | 24.6771 | − | 4.08187i | 0.827643 | − | 0.136902i | ||||
\(890\) | −3.15862 | − | 7.34694i | −0.105877 | − | 0.246270i | ||||
\(891\) | −1.45334 | + | 13.8276i | −0.0486886 | + | 0.463241i | ||||
\(892\) | 0.175328 | + | 0.0372671i | 0.00587042 | + | 0.00124780i | ||||
\(893\) | 0.715127 | − | 1.23864i | 0.0239308 | − | 0.0414494i | ||||
\(894\) | −5.60018 | + | 6.21963i | −0.187298 | + | 0.208016i | ||||
\(895\) | −2.64241 | − | 6.14625i | −0.0883261 | − | 0.205446i | ||||
\(896\) | 26.7683 | + | 6.97645i | 0.894267 | + | 0.233067i | ||||
\(897\) | −1.08593 | + | 3.34215i | −0.0362581 | + | 0.111591i | ||||
\(898\) | 44.4662 | + | 19.7976i | 1.48386 | + | 0.660656i | ||||
\(899\) | −4.25381 | + | 7.36781i | −0.141872 | + | 0.245730i | ||||
\(900\) | −1.07018 | − | 0.0275010i | −0.0356728 | − | 0.000916699i | ||||
\(901\) | 16.8849 | + | 29.2454i | 0.562516 | + | 0.974306i | ||||
\(902\) | −39.3159 | + | 28.5647i | −1.30908 | + | 0.951100i | ||||
\(903\) | 5.98402 | + | 21.7362i | 0.199136 | + | 0.723335i | ||||
\(904\) | 7.06929 | − | 21.7570i | 0.235121 | − | 0.723628i | ||||
\(905\) | −0.316648 | + | 24.6484i | −0.0105257 | + | 0.819340i | ||||
\(906\) | −0.421251 | − | 0.0895397i | −0.0139951 | − | 0.00297476i | ||||
\(907\) | −2.58447 | + | 4.47644i | −0.0858160 | + | 0.148638i | −0.905739 | − | 0.423837i | \(-0.860683\pi\) |
0.819923 | + | 0.572474i | \(0.194016\pi\) | |||||||
\(908\) | 0.559725 | − | 0.621638i | 0.0185751 | − | 0.0206298i | ||||
\(909\) | −18.4678 | − | 13.4176i | −0.612537 | − | 0.445034i | ||||
\(910\) | −12.5237 | + | 45.6423i | −0.415157 | + | 1.51303i | ||||
\(911\) | −21.5602 | + | 15.6644i | −0.714320 | + | 0.518984i | −0.884564 | − | 0.466418i | \(-0.845544\pi\) |
0.170245 | + | 0.985402i | \(0.445544\pi\) | |||||||
\(912\) | −0.110377 | + | 1.05017i | −0.00365496 | + | 0.0347746i | ||||
\(913\) | 55.2188 | − | 24.5850i | 1.82747 | − | 0.813644i | ||||
\(914\) | 2.54029 | + | 24.1692i | 0.0840253 | + | 0.799447i | ||||
\(915\) | 0.218180 | − | 16.9835i | 0.00721281 | − | 0.561457i | ||||
\(916\) | −1.00060 | − | 0.726978i | −0.0330607 | − | 0.0240200i | ||||
\(917\) | −18.0551 | + | 7.07293i | −0.596232 | + | 0.233569i | ||||
\(918\) | 37.5806 | 1.24035 | ||||||||
\(919\) | −4.72890 | + | 5.25198i | −0.155992 | + | 0.173247i | −0.816075 | − | 0.577946i | \(-0.803854\pi\) |
0.660083 | + | 0.751193i | \(0.270521\pi\) | |||||||
\(920\) | −1.94436 | + | 4.22035i | −0.0641036 | + | 0.139141i | ||||
\(921\) | 10.3930 | + | 11.5426i | 0.342461 | + | 0.380342i | ||||
\(922\) | −42.8996 | + | 9.11859i | −1.41282 | + | 0.300305i | ||||
\(923\) | 49.3086 | − | 35.8248i | 1.62301 | − | 1.17919i | ||||
\(924\) | 0.837370 | + | 0.419464i | 0.0275475 | + | 0.0137993i | ||||
\(925\) | −12.6378 | + | 13.3305i | −0.415528 | + | 0.438304i | ||||
\(926\) | 0.943041 | + | 1.63340i | 0.0309903 | + | 0.0536767i | ||||
\(927\) | −1.34625 | − | 12.8087i | −0.0442166 | − | 0.420693i | ||||
\(928\) | −1.48779 | − | 1.65235i | −0.0488390 | − | 0.0542412i | ||||
\(929\) | −44.9694 | + | 9.55854i | −1.47540 | + | 0.313606i | −0.874228 | − | 0.485516i | \(-0.838632\pi\) |
−0.601170 | + | 0.799121i | \(0.705299\pi\) | |||||||
\(930\) | 1.16204 | − | 5.14129i | 0.0381046 | − | 0.168589i | ||||
\(931\) | 2.29360 | + | 0.209352i | 0.0751696 | + | 0.00686124i | ||||
\(932\) | 1.08500 | 0.0355404 | ||||||||
\(933\) | 17.6386 | − | 19.5896i | 0.577462 | − | 0.641336i | ||||
\(934\) | −17.2969 | + | 7.70110i | −0.565973 | + | 0.251988i | ||||
\(935\) | 25.5958 | − | 55.5572i | 0.837072 | − | 1.81692i | ||||
\(936\) | −35.0116 | − | 15.5882i | −1.14439 | − | 0.509515i | ||||
\(937\) | −11.8858 | − | 8.63554i | −0.388292 | − | 0.282111i | 0.376463 | − | 0.926432i | \(-0.377140\pi\) |
−0.764755 | + | 0.644321i | \(0.777140\pi\) | |||||||
\(938\) | 16.4611 | + | 31.7670i | 0.537473 | + | 1.03723i | ||||
\(939\) | −4.89971 | + | 3.55985i | −0.159896 | + | 0.116171i | ||||
\(940\) | −0.525104 | − | 0.742620i | −0.0171270 | − | 0.0242216i | ||||
\(941\) | 24.9810 | − | 11.1222i | 0.814356 | − | 0.362575i | 0.0430771 | − | 0.999072i | \(-0.486284\pi\) |
0.771279 | + | 0.636497i | \(0.219617\pi\) | |||||||
\(942\) | 3.63753 | + | 0.773180i | 0.118517 | + | 0.0251916i | ||||
\(943\) | 2.82132 | + | 4.88666i | 0.0918747 | + | 0.159132i | ||||
\(944\) | 4.66678 | + | 14.3629i | 0.151891 | + | 0.467471i | ||||
\(945\) | −26.0444 | − | 4.28533i | −0.847226 | − | 0.139402i | ||||
\(946\) | 19.3241 | − | 59.4736i | 0.628282 | − | 1.93365i | ||||
\(947\) | 35.0819 | − | 7.45688i | 1.14001 | − | 0.242316i | 0.401042 | − | 0.916060i | \(-0.368648\pi\) |
0.738965 | + | 0.673744i | \(0.235315\pi\) | |||||||
\(948\) | −0.0743377 | − | 0.707276i | −0.00241438 | − | 0.0229713i | ||||
\(949\) | −11.0802 | + | 19.1914i | −0.359677 | + | 0.622979i | ||||
\(950\) | −2.20894 | − | 0.529179i | −0.0716674 | − | 0.0171688i | ||||
\(951\) | −8.84592 | −0.286849 | ||||||||
\(952\) | −16.4218 | + | 43.6717i | −0.532233 | + | 1.41541i | ||||
\(953\) | −0.303846 | + | 0.935141i | −0.00984253 | + | 0.0302922i | −0.955857 | − | 0.293832i | \(-0.905069\pi\) |
0.946015 | + | 0.324124i | \(0.105069\pi\) | |||||||
\(954\) | −17.1068 | + | 3.63616i | −0.553853 | + | 0.117725i | ||||
\(955\) | 19.1281 | − | 41.5188i | 0.618972 | − | 1.34352i | ||||
\(956\) | −0.581173 | − | 0.123532i | −0.0187965 | − | 0.00399531i | ||||
\(957\) | 7.95255 | + | 13.7742i | 0.257070 | + | 0.445258i | ||||
\(958\) | 10.2317 | + | 31.4900i | 0.330572 | + | 1.01740i | ||||
\(959\) | −57.6849 | − | 2.62719i | −1.86274 | − | 0.0848363i | ||||
\(960\) | 13.5208 | + | 8.03958i | 0.436383 | + | 0.259476i | ||||
\(961\) | −24.5790 | − | 10.9433i | −0.792871 | − | 0.353009i | ||||
\(962\) | −26.8497 | + | 11.9542i | −0.865668 | + | 0.385420i | ||||
\(963\) | 1.06874 | − | 0.475836i | 0.0344398 | − | 0.0153336i | ||||
\(964\) | 0.420481 | + | 0.187210i | 0.0135428 | + | 0.00602964i | ||||
\(965\) | 36.0529 | − | 31.6331i | 1.16058 | − | 1.01831i | ||||
\(966\) | −1.19396 | + | 1.86639i | −0.0384149 | + | 0.0600500i | ||||
\(967\) | −18.4039 | − | 56.6414i | −0.591830 | − | 1.82147i | −0.569911 | − | 0.821706i | \(-0.693022\pi\) |
−0.0219192 | − | 0.999760i | \(-0.506978\pi\) | |||||||
\(968\) | −13.1636 | − | 22.8000i | −0.423093 | − | 0.732819i | ||||
\(969\) | −1.65641 | − | 0.352081i | −0.0532117 | − | 0.0113105i | ||||
\(970\) | 29.2973 | − | 16.4166i | 0.940678 | − | 0.527107i | ||||
\(971\) | 50.6814 | − | 10.7727i | 1.62644 | − | 0.345711i | 0.697687 | − | 0.716403i | \(-0.254213\pi\) |
0.928756 | + | 0.370691i | \(0.120879\pi\) | |||||||
\(972\) | 0.462644 | − | 1.42387i | 0.0148393 | − | 0.0456707i | ||||
\(973\) | 22.3449 | − | 3.69610i | 0.716344 | − | 0.118491i | ||||
\(974\) | −30.7339 | −0.984776 | ||||||||
\(975\) | −12.7605 | + | 20.8460i | −0.408662 | + | 0.667606i | ||||
\(976\) | 17.1249 | − | 29.6612i | 0.548155 | − | 0.949433i | ||||
\(977\) | −5.32241 | − | 50.6394i | −0.170279 | − | 1.62010i | −0.662110 | − | 0.749406i | \(-0.730339\pi\) |
0.491831 | − | 0.870690i | \(-0.336328\pi\) | |||||||
\(978\) | −24.9782 | + | 5.30929i | −0.798716 | + | 0.169772i | ||||
\(979\) | 3.58924 | − | 11.0465i | 0.114713 | − | 0.353049i | ||||
\(980\) | 0.731217 | − | 1.26899i | 0.0233579 | − | 0.0405365i | ||||
\(981\) | 2.65049 | + | 8.15736i | 0.0846236 | + | 0.260445i | ||||
\(982\) | 15.6412 | + | 27.0913i | 0.499129 | + | 0.864517i | ||||
\(983\) | −25.7708 | − | 5.47776i | −0.821962 | − | 0.174713i | −0.222312 | − | 0.974976i | \(-0.571360\pi\) |
−0.599650 | + | 0.800262i | \(0.704694\pi\) | |||||||
\(984\) | 17.4872 | − | 7.78579i | 0.557471 | − | 0.248202i | ||||
\(985\) | 9.12664 | − | 12.2283i | 0.290799 | − | 0.389625i | ||||
\(986\) | −28.6500 | + | 20.8154i | −0.912401 | + | 0.662898i | ||||
\(987\) | −4.46424 | − | 8.61521i | −0.142098 | − | 0.274225i | ||||
\(988\) | 0.144310 | + | 0.104847i | 0.00459111 | + | 0.00333564i | ||||
\(989\) | −6.63314 | − | 2.95326i | −0.210922 | − | 0.0939083i | ||||
\(990\) | 23.2680 | + | 21.4982i | 0.739506 | + | 0.683258i | ||||
\(991\) | −34.0823 | + | 15.1744i | −1.08266 | + | 0.482031i | −0.868967 | − | 0.494870i | \(-0.835216\pi\) |
−0.213693 | + | 0.976901i | \(0.568549\pi\) | |||||||
\(992\) | −0.716110 | + | 0.795321i | −0.0227365 | + | 0.0252515i | ||||
\(993\) | −28.4207 | −0.901902 | ||||||||
\(994\) | 35.7798 | − | 14.0164i | 1.13487 | − | 0.444574i | ||||
\(995\) | 11.1077 | − | 9.74598i | 0.352138 | − | 0.308968i | ||||
\(996\) | −1.04084 | + | 0.221238i | −0.0329803 | + | 0.00701019i | ||||
\(997\) | −34.7196 | − | 38.5600i | −1.09958 | − | 1.22121i | −0.973378 | − | 0.229205i | \(-0.926388\pi\) |
−0.126203 | − | 0.992004i | \(-0.540279\pi\) | |||||||
\(998\) | 2.27070 | + | 21.6043i | 0.0718777 | + | 0.683871i | ||||
\(999\) | −8.19529 | − | 14.1947i | −0.259288 | − | 0.449099i |
(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 | 175.2.q.a.11.6 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.26 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.11 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.13 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.13 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.6 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.26 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.11 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.13 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.11 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.6 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.26 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.13 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.6 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.11 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.26 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.6 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.6 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.13 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.13 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.6 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.6 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.13 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.13 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.11 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.74.26 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.324.11 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.324.26 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.424.11 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.424.26 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.674.11 | 288 | 175.37 | odd | 60 | |||
875.2.u.b.674.26 | 288 | 175.163 | odd | 60 |