Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (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: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 16 x^{12} - 12 x^{11} - 8 x^{10} + 36 x^{9} - 68 x^{8} + 72 x^{7} - 32 x^{6} - 96 x^{5} + 256 x^{4} - 384 x^{3} + 448 x^{2} - 384 x + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.7 | ||
Root | \(0.867527 - 1.11687i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.59 |
Dual form | 72.2.l.b.11.7 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.533474 | + | 1.30973i | 0.377223 | + | 0.926122i | ||||
\(3\) | 0.925606 | − | 1.46399i | 0.534399 | − | 0.845232i | ||||
\(4\) | −1.43081 | + | 1.39742i | −0.715405 | + | 0.698710i | ||||
\(5\) | −0.895377 | + | 1.55084i | −0.400425 | + | 0.693556i | −0.993777 | − | 0.111387i | \(-0.964471\pi\) |
0.593352 | + | 0.804943i | \(0.297804\pi\) | |||||||
\(6\) | 2.41122 | + | 0.431300i | 0.984376 | + | 0.176078i | ||||
\(7\) | 2.08793 | − | 1.20546i | 0.789162 | − | 0.455623i | −0.0505056 | − | 0.998724i | \(-0.516083\pi\) |
0.839667 | + | 0.543101i | \(0.182750\pi\) | |||||||
\(8\) | −2.59355 | − | 1.12850i | −0.916958 | − | 0.398984i | ||||
\(9\) | −1.28651 | − | 2.71015i | −0.428836 | − | 0.903382i | ||||
\(10\) | −2.50885 | − | 0.345375i | −0.793368 | − | 0.109217i | ||||
\(11\) | −1.36975 | + | 0.790826i | −0.412995 | + | 0.238443i | −0.692076 | − | 0.721825i | \(-0.743304\pi\) |
0.279081 | + | 0.960268i | \(0.409970\pi\) | |||||||
\(12\) | 0.721434 | + | 3.38815i | 0.208260 | + | 0.978073i | ||||
\(13\) | −5.35491 | − | 3.09166i | −1.48519 | − | 0.857472i | −0.485327 | − | 0.874332i | \(-0.661300\pi\) |
−0.999858 | + | 0.0168604i | \(0.994633\pi\) | |||||||
\(14\) | 2.69269 | + | 2.09155i | 0.719652 | + | 0.558989i | ||||
\(15\) | 1.44164 | + | 2.74629i | 0.372230 | + | 0.709088i | ||||
\(16\) | 0.0944399 | − | 3.99888i | 0.0236100 | − | 0.999721i | ||||
\(17\) | 3.69943i | 0.897244i | 0.893722 | + | 0.448622i | \(0.148085\pi\) | ||||
−0.893722 | + | 0.448622i | \(0.851915\pi\) | |||||||
\(18\) | 2.86326 | − | 3.13078i | 0.674876 | − | 0.737931i | ||||
\(19\) | 3.12941 | 0.717936 | 0.358968 | − | 0.933350i | \(-0.383129\pi\) | ||||
0.358968 | + | 0.933350i | \(0.383129\pi\) | |||||||
\(20\) | −0.886056 | − | 3.47017i | −0.198128 | − | 0.775955i | ||||
\(21\) | 0.167814 | − | 4.17248i | 0.0366200 | − | 0.910509i | ||||
\(22\) | −1.76650 | − | 1.37212i | −0.376619 | − | 0.292538i | ||||
\(23\) | 1.36036 | − | 2.35622i | 0.283655 | − | 0.491305i | −0.688627 | − | 0.725116i | \(-0.741786\pi\) |
0.972282 | + | 0.233811i | \(0.0751196\pi\) | |||||||
\(24\) | −4.05271 | + | 2.75238i | −0.827255 | + | 0.561826i | ||||
\(25\) | 0.896599 | + | 1.55296i | 0.179320 | + | 0.310591i | ||||
\(26\) | 1.19255 | − | 8.66283i | 0.233878 | − | 1.69892i | ||||
\(27\) | −5.15842 | − | 0.625100i | −0.992738 | − | 0.120301i | ||||
\(28\) | −1.30289 | + | 4.64250i | −0.246223 | + | 0.877350i | ||||
\(29\) | 2.55291 | + | 4.42177i | 0.474064 | + | 0.821102i | 0.999559 | − | 0.0296942i | \(-0.00945336\pi\) |
−0.525495 | + | 0.850796i | \(0.676120\pi\) | |||||||
\(30\) | −2.82783 | + | 3.35324i | −0.516288 | + | 0.612215i | ||||
\(31\) | 5.95312 | + | 3.43703i | 1.06921 | + | 0.617310i | 0.927966 | − | 0.372665i | \(-0.121556\pi\) |
0.141246 | + | 0.989975i | \(0.454889\pi\) | |||||||
\(32\) | 5.28786 | − | 2.00961i | 0.934770 | − | 0.355252i | ||||
\(33\) | −0.110092 | + | 2.73729i | −0.0191645 | + | 0.476501i | ||||
\(34\) | −4.84528 | + | 1.97355i | −0.830958 | + | 0.338461i | ||||
\(35\) | 4.31738i | 0.729771i | ||||||||
\(36\) | 5.62796 | + | 2.07992i | 0.937993 | + | 0.346653i | ||||
\(37\) | 5.24328i | 0.861990i | 0.902354 | + | 0.430995i | \(0.141837\pi\) | ||||
−0.902354 | + | 0.430995i | \(0.858163\pi\) | |||||||
\(38\) | 1.66946 | + | 4.09870i | 0.270822 | + | 0.664896i | ||||
\(39\) | −9.48268 | + | 4.97786i | −1.51844 | + | 0.797095i | ||||
\(40\) | 4.07232 | − | 3.01175i | 0.643890 | − | 0.476199i | ||||
\(41\) | −5.32220 | − | 3.07278i | −0.831189 | − | 0.479887i | 0.0230708 | − | 0.999734i | \(-0.492656\pi\) |
−0.854260 | + | 0.519847i | \(0.825989\pi\) | |||||||
\(42\) | 5.55436 | − | 2.00612i | 0.857057 | − | 0.309551i | ||||
\(43\) | −0.452455 | − | 0.783675i | −0.0689987 | − | 0.119509i | 0.829462 | − | 0.558563i | \(-0.188647\pi\) |
−0.898461 | + | 0.439054i | \(0.855314\pi\) | |||||||
\(44\) | 0.854739 | − | 3.04564i | 0.128857 | − | 0.459147i | ||||
\(45\) | 5.35491 | + | 0.431438i | 0.798263 | + | 0.0643150i | ||||
\(46\) | 3.81174 | + | 0.524733i | 0.562010 | + | 0.0773677i | ||||
\(47\) | −4.88993 | − | 8.46960i | −0.713269 | − | 1.23542i | −0.963623 | − | 0.267264i | \(-0.913880\pi\) |
0.250354 | − | 0.968154i | \(-0.419453\pi\) | |||||||
\(48\) | −5.76690 | − | 3.83965i | −0.832380 | − | 0.554206i | ||||
\(49\) | −0.593711 | + | 1.02834i | −0.0848159 | + | 0.146905i | ||||
\(50\) | −1.55565 | + | 2.00277i | −0.220002 | + | 0.283234i | ||||
\(51\) | 5.41592 | + | 3.42422i | 0.758380 | + | 0.479486i | ||||
\(52\) | 11.9822 | − | 3.05948i | 1.66163 | − | 0.424273i | ||||
\(53\) | 7.05913 | 0.969646 | 0.484823 | − | 0.874612i | \(-0.338884\pi\) | ||||
0.484823 | + | 0.874612i | \(0.338884\pi\) | |||||||
\(54\) | −1.93317 | − | 7.08963i | −0.263071 | − | 0.964777i | ||||
\(55\) | − | 2.83235i | − | 0.381914i | ||||||
\(56\) | −6.77550 | + | 0.770215i | −0.905414 | + | 0.102924i | ||||
\(57\) | 2.89660 | − | 4.58141i | 0.383664 | − | 0.606822i | ||||
\(58\) | −4.42944 | + | 5.70254i | −0.581613 | + | 0.748780i | ||||
\(59\) | −6.10118 | − | 3.52252i | −0.794306 | − | 0.458593i | 0.0471702 | − | 0.998887i | \(-0.484980\pi\) |
−0.841476 | + | 0.540294i | \(0.818313\pi\) | |||||||
\(60\) | −5.90042 | − | 1.91484i | −0.761742 | − | 0.247205i | ||||
\(61\) | 3.05109 | − | 1.76155i | 0.390652 | − | 0.225543i | −0.291790 | − | 0.956482i | \(-0.594251\pi\) |
0.682443 | + | 0.730939i | \(0.260918\pi\) | |||||||
\(62\) | −1.32577 | + | 9.63057i | −0.168373 | + | 1.22308i | ||||
\(63\) | −5.95312 | − | 4.10775i | −0.750022 | − | 0.517527i | ||||
\(64\) | 5.45299 | + | 5.85362i | 0.681624 | + | 0.731703i | ||||
\(65\) | 9.58933 | − | 5.53640i | 1.18941 | − | 0.686706i | ||||
\(66\) | −3.64385 | + | 1.31608i | −0.448527 | + | 0.161998i | ||||
\(67\) | 1.03786 | − | 1.79762i | 0.126794 | − | 0.219614i | −0.795639 | − | 0.605772i | \(-0.792865\pi\) |
0.922433 | + | 0.386158i | \(0.126198\pi\) | |||||||
\(68\) | −5.16966 | − | 5.29319i | −0.626913 | − | 0.641893i | ||||
\(69\) | −2.19031 | − | 4.17248i | −0.263682 | − | 0.502307i | ||||
\(70\) | −5.65463 | + | 2.30321i | −0.675857 | + | 0.275286i | ||||
\(71\) | −3.31507 | −0.393426 | −0.196713 | − | 0.980461i | \(-0.563027\pi\) | ||||
−0.196713 | + | 0.980461i | \(0.563027\pi\) | |||||||
\(72\) | 0.278229 | + | 8.48072i | 0.0327896 | + | 0.999462i | ||||
\(73\) | 0.631029 | 0.0738563 | 0.0369282 | − | 0.999318i | \(-0.488243\pi\) | ||||
0.0369282 | + | 0.999318i | \(0.488243\pi\) | |||||||
\(74\) | −6.86730 | + | 2.79715i | −0.798308 | + | 0.325162i | ||||
\(75\) | 3.10340 | + | 0.124816i | 0.358350 | + | 0.0144125i | ||||
\(76\) | −4.47759 | + | 4.37310i | −0.513615 | + | 0.501628i | ||||
\(77\) | −1.90662 | + | 3.30237i | −0.217280 | + | 0.376340i | ||||
\(78\) | −11.5784 | − | 9.76424i | −1.31100 | − | 1.10558i | ||||
\(79\) | −7.82515 | + | 4.51785i | −0.880398 | + | 0.508298i | −0.870790 | − | 0.491656i | \(-0.836392\pi\) |
−0.00960849 | + | 0.999954i | \(0.503059\pi\) | |||||||
\(80\) | 6.11707 | + | 3.72697i | 0.683909 | + | 0.416688i | ||||
\(81\) | −5.68980 | + | 6.97325i | −0.632200 | + | 0.774806i | ||||
\(82\) | 1.18526 | − | 8.60992i | 0.130891 | − | 0.950807i | ||||
\(83\) | 13.5542 | − | 7.82551i | 1.48776 | − | 0.858961i | 0.487861 | − | 0.872921i | \(-0.337777\pi\) |
0.999903 | + | 0.0139604i | \(0.00444387\pi\) | |||||||
\(84\) | 5.59059 | + | 6.20453i | 0.609983 | + | 0.676970i | ||||
\(85\) | −5.73722 | − | 3.31239i | −0.622289 | − | 0.359279i | ||||
\(86\) | 0.785033 | − | 1.01067i | 0.0846523 | − | 0.108983i | ||||
\(87\) | 8.83640 | + | 0.355393i | 0.947361 | + | 0.0381021i | ||||
\(88\) | 4.44496 | − | 0.505287i | 0.473834 | − | 0.0538638i | ||||
\(89\) | − | 1.16402i | − | 0.123386i | −0.998095 | − | 0.0616929i | \(-0.980350\pi\) | ||
0.998095 | − | 0.0616929i | \(-0.0196499\pi\) | |||||||
\(90\) | 2.29164 | + | 7.24368i | 0.241560 | + | 0.763550i | ||||
\(91\) | −14.9075 | −1.56274 | ||||||||
\(92\) | 1.34620 | + | 5.27230i | 0.140351 | + | 0.549675i | ||||
\(93\) | 10.5420 | − | 5.53394i | 1.09316 | − | 0.573843i | ||||
\(94\) | 8.48428 | − | 10.9228i | 0.875087 | − | 1.12660i | ||||
\(95\) | −2.80200 | + | 4.85321i | −0.287479 | + | 0.497929i | ||||
\(96\) | 1.95243 | − | 9.60146i | 0.199270 | − | 0.979945i | ||||
\(97\) | −6.72981 | − | 11.6564i | −0.683309 | − | 1.18353i | −0.973965 | − | 0.226698i | \(-0.927207\pi\) |
0.290656 | − | 0.956827i | \(-0.406126\pi\) | |||||||
\(98\) | −1.66358 | − | 0.229013i | −0.168047 | − | 0.0231338i | ||||
\(99\) | 3.90545 | + | 2.69482i | 0.392512 | + | 0.270840i | ||||
\(100\) | −3.45299 | − | 0.969060i | −0.345299 | − | 0.0969060i | ||||
\(101\) | −3.28047 | − | 5.68195i | −0.326419 | − | 0.565375i | 0.655379 | − | 0.755300i | \(-0.272509\pi\) |
−0.981799 | + | 0.189925i | \(0.939175\pi\) | |||||||
\(102\) | −1.59557 | + | 8.92014i | −0.157985 | + | 0.883226i | ||||
\(103\) | 5.12167 | + | 2.95700i | 0.504653 | + | 0.291361i | 0.730633 | − | 0.682771i | \(-0.239225\pi\) |
−0.225980 | + | 0.974132i | \(0.572558\pi\) | |||||||
\(104\) | 10.3993 | + | 14.0614i | 1.01974 | + | 1.37883i | ||||
\(105\) | 6.32058 | + | 3.99619i | 0.616826 | + | 0.389989i | ||||
\(106\) | 3.76586 | + | 9.24559i | 0.365773 | + | 0.898011i | ||||
\(107\) | − | 1.01487i | − | 0.0981111i | −0.998796 | − | 0.0490555i | \(-0.984379\pi\) | ||
0.998796 | − | 0.0490555i | \(-0.0156211\pi\) | |||||||
\(108\) | 8.25424 | − | 6.31407i | 0.794265 | − | 0.607572i | ||||
\(109\) | 4.46314i | 0.427491i | 0.976889 | + | 0.213746i | \(0.0685664\pi\) | ||||
−0.976889 | + | 0.213746i | \(0.931434\pi\) | |||||||
\(110\) | 3.70963 | − | 1.51098i | 0.353699 | − | 0.144067i | ||||
\(111\) | 7.67608 | + | 4.85321i | 0.728582 | + | 0.460646i | ||||
\(112\) | −4.62333 | − | 8.46322i | −0.436864 | − | 0.799699i | ||||
\(113\) | 7.35628 | + | 4.24715i | 0.692021 | + | 0.399538i | 0.804369 | − | 0.594131i | \(-0.202504\pi\) |
−0.112348 | + | 0.993669i | \(0.535837\pi\) | |||||||
\(114\) | 7.54569 | + | 1.34971i | 0.706719 | + | 0.126412i | ||||
\(115\) | 2.43607 | + | 4.21940i | 0.227165 | + | 0.393462i | ||||
\(116\) | −9.83180 | − | 2.75923i | −0.912860 | − | 0.256188i | ||||
\(117\) | −1.48972 | + | 18.4900i | −0.137725 | + | 1.70941i | ||||
\(118\) | 1.35874 | − | 9.87010i | 0.125082 | − | 0.908616i | ||||
\(119\) | 4.45953 | + | 7.72414i | 0.408805 | + | 0.708071i | ||||
\(120\) | −0.639790 | − | 8.74951i | −0.0584046 | − | 0.798717i | ||||
\(121\) | −4.24919 | + | 7.35981i | −0.386290 | + | 0.669074i | ||||
\(122\) | 3.93484 | + | 3.05638i | 0.356244 | + | 0.276712i | ||||
\(123\) | −9.42476 | + | 4.94745i | −0.849802 | + | 0.446097i | ||||
\(124\) | −13.3208 | + | 3.40125i | −1.19624 | + | 0.305442i | ||||
\(125\) | −12.1650 | −1.08807 | ||||||||
\(126\) | 2.20423 | − | 9.98838i | 0.196368 | − | 0.889836i | ||||
\(127\) | − | 15.9098i | − | 1.41176i | −0.708329 | − | 0.705882i | \(-0.750551\pi\) | ||
0.708329 | − | 0.705882i | \(-0.249449\pi\) | |||||||
\(128\) | −4.75766 | + | 10.2647i | −0.420522 | + | 0.907282i | ||||
\(129\) | −1.56608 | − | 0.0629866i | −0.137886 | − | 0.00554566i | ||||
\(130\) | 12.3669 | + | 9.60596i | 1.08465 | + | 0.842498i | ||||
\(131\) | 1.38769 | + | 0.801182i | 0.121243 | + | 0.0699996i | 0.559395 | − | 0.828901i | \(-0.311034\pi\) |
−0.438152 | + | 0.898901i | \(0.644367\pi\) | |||||||
\(132\) | −3.66762 | − | 4.07038i | −0.319225 | − | 0.354281i | ||||
\(133\) | 6.53397 | − | 3.77239i | 0.566567 | − | 0.327108i | ||||
\(134\) | 2.90807 | + | 0.400333i | 0.251219 | + | 0.0345835i | ||||
\(135\) | 5.58816 | − | 7.44017i | 0.480952 | − | 0.640348i | ||||
\(136\) | 4.17480 | − | 9.59466i | 0.357986 | − | 0.822735i | ||||
\(137\) | −10.6153 | + | 6.12877i | −0.906930 | + | 0.523616i | −0.879442 | − | 0.476006i | \(-0.842084\pi\) |
−0.0274877 | + | 0.999622i | \(0.508751\pi\) | |||||||
\(138\) | 4.29637 | − | 5.09463i | 0.365731 | − | 0.433684i | ||||
\(139\) | −0.618940 | + | 1.07204i | −0.0524978 | + | 0.0909289i | −0.891080 | − | 0.453846i | \(-0.850052\pi\) |
0.838582 | + | 0.544775i | \(0.183385\pi\) | |||||||
\(140\) | −6.03319 | − | 6.17736i | −0.509898 | − | 0.522082i | ||||
\(141\) | −16.9255 | − | 0.680731i | −1.42539 | − | 0.0573279i | ||||
\(142\) | −1.76850 | − | 4.34186i | −0.148409 | − | 0.364361i | ||||
\(143\) | 9.77985 | 0.817832 | ||||||||
\(144\) | −10.9591 | + | 4.88865i | −0.913255 | + | 0.407387i | ||||
\(145\) | −9.14327 | −0.759307 | ||||||||
\(146\) | 0.336637 | + | 0.826480i | 0.0278603 | + | 0.0684000i | ||||
\(147\) | 0.955929 | + | 1.82102i | 0.0788437 | + | 0.150195i | ||||
\(148\) | −7.32706 | − | 7.50214i | −0.602280 | − | 0.616672i | ||||
\(149\) | 2.96982 | − | 5.14387i | 0.243297 | − | 0.421402i | −0.718355 | − | 0.695677i | \(-0.755104\pi\) |
0.961651 | + | 0.274275i | \(0.0884378\pi\) | |||||||
\(150\) | 1.49211 | + | 4.13122i | 0.121830 | + | 0.337313i | ||||
\(151\) | −11.9663 | + | 6.90874i | −0.973803 | + | 0.562226i | −0.900394 | − | 0.435076i | \(-0.856721\pi\) |
−0.0734098 | + | 0.997302i | \(0.523388\pi\) | |||||||
\(152\) | −8.11627 | − | 3.53153i | −0.658317 | − | 0.286445i | ||||
\(153\) | 10.0260 | − | 4.75935i | 0.810555 | − | 0.384770i | ||||
\(154\) | −5.34236 | − | 0.735444i | −0.430500 | − | 0.0592637i | ||||
\(155\) | −10.6606 | + | 6.15488i | −0.856278 | + | 0.494372i | ||||
\(156\) | 6.61178 | − | 20.3737i | 0.529366 | − | 1.63120i | ||||
\(157\) | 4.98995 | + | 2.88095i | 0.398241 | + | 0.229925i | 0.685725 | − | 0.727861i | \(-0.259485\pi\) |
−0.287483 | + | 0.957786i | \(0.592819\pi\) | |||||||
\(158\) | −10.0917 | − | 7.83871i | −0.802853 | − | 0.623615i | ||||
\(159\) | 6.53397 | − | 10.3345i | 0.518178 | − | 0.819576i | ||||
\(160\) | −1.61805 | + | 9.99998i | −0.127918 | + | 0.790568i | ||||
\(161\) | − | 6.55947i | − | 0.516959i | ||||||
\(162\) | −12.1685 | − | 3.73208i | −0.956045 | − | 0.293220i | ||||
\(163\) | 11.2888 | 0.884209 | 0.442104 | − | 0.896964i | \(-0.354232\pi\) | ||||
0.442104 | + | 0.896964i | \(0.354232\pi\) | |||||||
\(164\) | 11.9090 | − | 3.04079i | 0.929939 | − | 0.237446i | ||||
\(165\) | −4.14652 | − | 2.62164i | −0.322806 | − | 0.204094i | ||||
\(166\) | 17.4801 | + | 13.5777i | 1.35672 | + | 1.05383i | ||||
\(167\) | 0.378448 | − | 0.655492i | 0.0292852 | − | 0.0507235i | −0.851011 | − | 0.525147i | \(-0.824010\pi\) |
0.880297 | + | 0.474424i | \(0.157344\pi\) | |||||||
\(168\) | −5.14386 | + | 10.6321i | −0.396857 | + | 0.820288i | ||||
\(169\) | 12.6167 | + | 21.8528i | 0.970517 | + | 1.68098i | ||||
\(170\) | 1.27769 | − | 9.28132i | 0.0979943 | − | 0.711844i | ||||
\(171\) | −4.02601 | − | 8.48116i | −0.307876 | − | 0.648570i | ||||
\(172\) | 1.74250 | + | 0.489021i | 0.132864 | + | 0.0372875i | ||||
\(173\) | −4.62735 | − | 8.01480i | −0.351811 | − | 0.609354i | 0.634756 | − | 0.772713i | \(-0.281101\pi\) |
−0.986567 | + | 0.163359i | \(0.947767\pi\) | |||||||
\(174\) | 4.24852 | + | 11.7629i | 0.322079 | + | 0.891745i | ||||
\(175\) | 3.74406 | + | 2.16164i | 0.283025 | + | 0.163404i | ||||
\(176\) | 3.03306 | + | 5.55216i | 0.228626 | + | 0.418510i | ||||
\(177\) | −10.8042 | + | 5.67158i | −0.812094 | + | 0.426302i | ||||
\(178\) | 1.52456 | − | 0.620974i | 0.114270 | − | 0.0465439i | ||||
\(179\) | 1.56530i | 0.116996i | 0.998288 | + | 0.0584980i | \(0.0186311\pi\) | ||||
−0.998288 | + | 0.0584980i | \(0.981369\pi\) | |||||||
\(180\) | −8.26477 | + | 6.86575i | −0.616019 | + | 0.511743i | ||||
\(181\) | 3.68300i | 0.273755i | 0.990588 | + | 0.136878i | \(0.0437067\pi\) | ||||
−0.990588 | + | 0.136878i | \(0.956293\pi\) | |||||||
\(182\) | −7.95279 | − | 19.5249i | −0.589500 | − | 1.44728i | ||||
\(183\) | 0.245227 | − | 6.09726i | 0.0181277 | − | 0.450722i | ||||
\(184\) | −6.18715 | + | 4.57580i | −0.456122 | + | 0.337332i | ||||
\(185\) | −8.13148 | − | 4.69471i | −0.597838 | − | 0.345162i | ||||
\(186\) | 12.8719 | + | 10.8550i | 0.943812 | + | 0.795929i | ||||
\(187\) | −2.92561 | − | 5.06730i | −0.213941 | − | 0.370558i | ||||
\(188\) | 18.8321 | + | 5.28512i | 1.37348 | + | 0.385457i | ||||
\(189\) | −11.5239 | + | 4.91312i | −0.838242 | + | 0.357377i | ||||
\(190\) | −7.85121 | − | 1.08082i | −0.569587 | − | 0.0784108i | ||||
\(191\) | 11.8678 | + | 20.5556i | 0.858722 | + | 1.48735i | 0.873148 | + | 0.487455i | \(0.162075\pi\) |
−0.0144258 | + | 0.999896i | \(0.504592\pi\) | |||||||
\(192\) | 13.6169 | − | 2.56496i | 0.982718 | − | 0.185110i | ||||
\(193\) | 12.8012 | − | 22.1723i | 0.921451 | − | 1.59600i | 0.124279 | − | 0.992247i | \(-0.460338\pi\) |
0.797172 | − | 0.603752i | \(-0.206328\pi\) | |||||||
\(194\) | 11.6766 | − | 15.0326i | 0.838330 | − | 1.07928i | ||||
\(195\) | 0.770728 | − | 19.1632i | 0.0551929 | − | 1.37230i | ||||
\(196\) | −0.587531 | − | 2.30102i | −0.0419665 | − | 0.164359i | ||||
\(197\) | −5.76656 | −0.410850 | −0.205425 | − | 0.978673i | \(-0.565858\pi\) | ||||
−0.205425 | + | 0.978673i | \(0.565858\pi\) | |||||||
\(198\) | −1.44605 | + | 6.55272i | −0.102766 | + | 0.465681i | ||||
\(199\) | 1.24163i | 0.0880169i | 0.999031 | + | 0.0440085i | \(0.0140129\pi\) | ||||
−0.999031 | + | 0.0440085i | \(0.985987\pi\) | |||||||
\(200\) | −0.572870 | − | 5.03947i | −0.0405080 | − | 0.356345i | ||||
\(201\) | −1.67104 | − | 3.18329i | −0.117866 | − | 0.224532i | ||||
\(202\) | 5.69180 | − | 7.32772i | 0.400473 | − | 0.515577i | ||||
\(203\) | 10.6606 | + | 6.15488i | 0.748226 | + | 0.431988i | ||||
\(204\) | −12.5342 | + | 2.66890i | −0.877571 | + | 0.186860i | ||||
\(205\) | 9.53076 | − | 5.50259i | 0.665657 | − | 0.384317i | ||||
\(206\) | −1.14060 | + | 8.28550i | −0.0794696 | + | 0.577278i | ||||
\(207\) | −8.13581 | − | 0.655492i | −0.565478 | − | 0.0455598i | ||||
\(208\) | −12.8689 | + | 21.1217i | −0.892298 | + | 1.46453i | ||||
\(209\) | −4.28651 | + | 2.47482i | −0.296504 | + | 0.171187i | ||||
\(210\) | −1.86209 | + | 10.4102i | −0.128496 | + | 0.718369i | ||||
\(211\) | 1.62194 | − | 2.80928i | 0.111659 | − | 0.193399i | −0.804780 | − | 0.593573i | \(-0.797717\pi\) |
0.916439 | + | 0.400174i | \(0.131050\pi\) | |||||||
\(212\) | −10.1003 | + | 9.86456i | −0.693690 | + | 0.677501i | ||||
\(213\) | −3.06844 | + | 4.85321i | −0.210246 | + | 0.332536i | ||||
\(214\) | 1.32921 | − | 0.541406i | 0.0908629 | − | 0.0370098i | ||||
\(215\) | 1.62047 | 0.110515 | ||||||||
\(216\) | 12.6732 | + | 7.44248i | 0.862301 | + | 0.506397i | ||||
\(217\) | 16.5729 | 1.12504 | ||||||||
\(218\) | −5.84553 | + | 2.38097i | −0.395909 | + | 0.161260i | ||||
\(219\) | 0.584084 | − | 0.923817i | 0.0394687 | − | 0.0624258i | ||||
\(220\) | 3.95798 | + | 4.05256i | 0.266847 | + | 0.273223i | ||||
\(221\) | 11.4374 | − | 19.8101i | 0.769362 | − | 1.33257i | ||||
\(222\) | −2.26143 | + | 12.6427i | −0.151777 | + | 0.848522i | ||||
\(223\) | −12.1221 | + | 6.99871i | −0.811758 | + | 0.468669i | −0.847566 | − | 0.530690i | \(-0.821933\pi\) |
0.0358081 | + | 0.999359i | \(0.488599\pi\) | |||||||
\(224\) | 8.61815 | − | 10.5702i | 0.575824 | − | 0.706254i | ||||
\(225\) | 3.05526 | − | 4.42780i | 0.203684 | − | 0.295187i | ||||
\(226\) | −1.63826 | + | 11.9005i | −0.108975 | + | 0.791611i | ||||
\(227\) | −8.75366 | + | 5.05393i | −0.581001 | + | 0.335441i | −0.761531 | − | 0.648128i | \(-0.775552\pi\) |
0.180530 | + | 0.983569i | \(0.442219\pi\) | |||||||
\(228\) | 2.25766 | + | 10.6029i | 0.149517 | + | 0.702194i | ||||
\(229\) | 9.93043 | + | 5.73334i | 0.656221 | + | 0.378869i | 0.790836 | − | 0.612029i | \(-0.209646\pi\) |
−0.134615 | + | 0.990898i | \(0.542980\pi\) | |||||||
\(230\) | −4.22672 | + | 5.44155i | −0.278702 | + | 0.358805i | ||||
\(231\) | 3.06984 | + | 5.84796i | 0.201981 | + | 0.384768i | ||||
\(232\) | −1.63115 | − | 14.3490i | −0.107090 | − | 0.942060i | ||||
\(233\) | 6.74860i | 0.442115i | 0.975261 | + | 0.221058i | \(0.0709509\pi\) | ||||
−0.975261 | + | 0.221058i | \(0.929049\pi\) | |||||||
\(234\) | −25.0118 | + | 7.91282i | −1.63507 | + | 0.517277i | ||||
\(235\) | 17.5133 | 1.14244 | ||||||||
\(236\) | 13.6521 | − | 3.48585i | 0.888674 | − | 0.226909i | ||||
\(237\) | −0.628934 | + | 15.6377i | −0.0408537 | + | 1.01578i | ||||
\(238\) | −7.73753 | + | 9.96144i | −0.501550 | + | 0.645704i | ||||
\(239\) | 0.0677896 | − | 0.117415i | 0.00438494 | − | 0.00759495i | −0.863825 | − | 0.503793i | \(-0.831938\pi\) |
0.868210 | + | 0.496198i | \(0.165271\pi\) | |||||||
\(240\) | 11.1182 | − | 5.50559i | 0.717678 | − | 0.355384i | ||||
\(241\) | −9.71742 | − | 16.8311i | −0.625954 | − | 1.08418i | −0.988355 | − | 0.152163i | \(-0.951376\pi\) |
0.362401 | − | 0.932022i | \(-0.381957\pi\) | |||||||
\(242\) | −11.9062 | − | 1.63904i | −0.765362 | − | 0.105362i | ||||
\(243\) | 4.94223 | + | 14.7843i | 0.317044 | + | 0.948411i | ||||
\(244\) | −1.90391 | + | 6.78410i | −0.121886 | + | 0.434307i | ||||
\(245\) | −1.06319 | − | 1.84150i | −0.0679248 | − | 0.117649i | ||||
\(246\) | −11.5077 | − | 9.70461i | −0.733705 | − | 0.618743i | ||||
\(247\) | −16.7577 | − | 9.67507i | −1.06627 | − | 0.615610i | ||||
\(248\) | −11.5610 | − | 15.6322i | −0.734126 | − | 0.992645i | ||||
\(249\) | 1.08940 | − | 27.0864i | 0.0690376 | − | 1.71653i | ||||
\(250\) | −6.48969 | − | 15.9329i | −0.410444 | − | 1.00768i | ||||
\(251\) | − | 18.7837i | − | 1.18561i | −0.805344 | − | 0.592807i | \(-0.798020\pi\) | ||
0.805344 | − | 0.592807i | \(-0.201980\pi\) | |||||||
\(252\) | 14.2580 | − | 2.44159i | 0.898171 | − | 0.153806i | ||||
\(253\) | 4.30324i | 0.270542i | ||||||||
\(254\) | 20.8376 | − | 8.48745i | 1.30747 | − | 0.532550i | ||||
\(255\) | −10.1597 | + | 5.33325i | −0.636225 | + | 0.333981i | ||||
\(256\) | −15.9822 | − | 0.755308i | −0.998885 | − | 0.0472068i | ||||
\(257\) | 18.6937 | + | 10.7928i | 1.16608 | + | 0.673238i | 0.952754 | − | 0.303742i | \(-0.0982362\pi\) |
0.213329 | + | 0.976981i | \(0.431570\pi\) | |||||||
\(258\) | −0.752969 | − | 2.08476i | −0.0468778 | − | 0.129791i | ||||
\(259\) | 6.32058 | + | 10.9476i | 0.392742 | + | 0.680249i | ||||
\(260\) | −5.98385 | + | 21.3219i | −0.371102 | + | 1.32233i | ||||
\(261\) | 8.69931 | − | 12.6074i | 0.538474 | − | 0.780379i | ||||
\(262\) | −0.309041 | + | 2.24491i | −0.0190926 | + | 0.138691i | ||||
\(263\) | −8.56995 | − | 14.8436i | −0.528446 | − | 0.915295i | −0.999450 | − | 0.0331642i | \(-0.989442\pi\) |
0.471004 | − | 0.882131i | \(-0.343892\pi\) | |||||||
\(264\) | 3.37455 | − | 6.97505i | 0.207689 | − | 0.429285i | ||||
\(265\) | −6.32058 | + | 10.9476i | −0.388270 | + | 0.672504i | ||||
\(266\) | 8.42654 | + | 6.54530i | 0.516664 | + | 0.401318i | ||||
\(267\) | −1.70411 | − | 1.07742i | −0.104290 | − | 0.0659372i | ||||
\(268\) | 1.02705 | + | 4.02237i | 0.0627371 | + | 0.245705i | ||||
\(269\) | 20.1271 | 1.22717 | 0.613585 | − | 0.789629i | \(-0.289727\pi\) | ||||
0.613585 | + | 0.789629i | \(0.289727\pi\) | |||||||
\(270\) | 12.7258 | + | 3.34987i | 0.774467 | + | 0.203866i | ||||
\(271\) | − | 6.20336i | − | 0.376827i | −0.982090 | − | 0.188414i | \(-0.939665\pi\) | ||
0.982090 | − | 0.188414i | \(-0.0603345\pi\) | |||||||
\(272\) | 14.7936 | + | 0.349374i | 0.896994 | + | 0.0211839i | ||||
\(273\) | −13.7985 | + | 21.8244i | −0.835124 | + | 1.32087i | ||||
\(274\) | −13.6901 | − | 10.6337i | −0.827047 | − | 0.642408i | ||||
\(275\) | −2.45623 | − | 1.41811i | −0.148116 | − | 0.0855151i | ||||
\(276\) | 8.96462 | + | 2.90925i | 0.539606 | + | 0.175116i | ||||
\(277\) | 10.6060 | − | 6.12340i | 0.637256 | − | 0.367920i | −0.146301 | − | 0.989240i | \(-0.546737\pi\) |
0.783557 | + | 0.621320i | \(0.213403\pi\) | |||||||
\(278\) | −1.73427 | − | 0.238744i | −0.104015 | − | 0.0143189i | ||||
\(279\) | 1.65614 | − | 20.5556i | 0.0991504 | − | 1.23063i | ||||
\(280\) | 4.87215 | − | 11.1973i | 0.291167 | − | 0.669169i | ||||
\(281\) | −15.1623 | + | 8.75399i | −0.904510 | + | 0.522219i | −0.878661 | − | 0.477447i | \(-0.841562\pi\) |
−0.0258492 | + | 0.999666i | \(0.508229\pi\) | |||||||
\(282\) | −8.13775 | − | 22.5311i | −0.484596 | − | 1.34171i | ||||
\(283\) | −3.79698 | + | 6.57656i | −0.225707 | + | 0.390936i | −0.956531 | − | 0.291630i | \(-0.905802\pi\) |
0.730824 | + | 0.682565i | \(0.239136\pi\) | |||||||
\(284\) | 4.74323 | − | 4.63254i | 0.281459 | − | 0.274890i | ||||
\(285\) | 4.51148 | + | 8.59425i | 0.267237 | + | 0.509079i | ||||
\(286\) | 5.21730 | + | 12.8090i | 0.308505 | + | 0.757413i | ||||
\(287\) | −14.8165 | −0.874590 | ||||||||
\(288\) | −12.2492 | − | 11.7455i | −0.721792 | − | 0.692110i | ||||
\(289\) | 3.31420 | 0.194953 | ||||||||
\(290\) | −4.87770 | − | 11.9753i | −0.286428 | − | 0.703212i | ||||
\(291\) | −23.2939 | − | 0.936863i | −1.36551 | − | 0.0549199i | ||||
\(292\) | −0.902883 | + | 0.881812i | −0.0528372 | + | 0.0516041i | ||||
\(293\) | −12.6164 | + | 21.8523i | −0.737061 | + | 1.27663i | 0.216753 | + | 0.976227i | \(0.430454\pi\) |
−0.953813 | + | 0.300400i | \(0.902880\pi\) | |||||||
\(294\) | −1.87509 | + | 2.22348i | −0.109357 | + | 0.129676i | ||||
\(295\) | 10.9257 | − | 6.30797i | 0.636120 | − | 0.367264i | ||||
\(296\) | 5.91702 | − | 13.5987i | 0.343920 | − | 0.790408i | ||||
\(297\) | 7.56008 | − | 3.22318i | 0.438681 | − | 0.187028i | ||||
\(298\) | 8.32143 | + | 1.14555i | 0.482047 | + | 0.0663599i | ||||
\(299\) | −14.5692 | + | 8.41155i | −0.842561 | + | 0.486453i | ||||
\(300\) | −4.61480 | + | 4.15816i | −0.266436 | + | 0.240072i | ||||
\(301\) | −1.88938 | − | 1.09084i | −0.108902 | − | 0.0628748i | ||||
\(302\) | −15.4323 | − | 11.9870i | −0.888031 | − | 0.689777i | ||||
\(303\) | −11.3547 | − | 0.456678i | −0.652311 | − | 0.0262354i | ||||
\(304\) | 0.295541 | − | 12.5141i | 0.0169504 | − | 0.717735i | ||||
\(305\) | 6.30900i | 0.361253i | ||||||||
\(306\) | 11.5821 | + | 10.5924i | 0.662105 | + | 0.605529i | ||||
\(307\) | −29.5997 | −1.68934 | −0.844671 | − | 0.535286i | \(-0.820204\pi\) | ||||
−0.844671 | + | 0.535286i | \(0.820204\pi\) | |||||||
\(308\) | −1.88678 | − | 7.38942i | −0.107509 | − | 0.421051i | ||||
\(309\) | 9.06964 | − | 4.76103i | 0.515954 | − | 0.270846i | ||||
\(310\) | −13.7484 | − | 10.6791i | −0.780857 | − | 0.606529i | ||||
\(311\) | −10.3607 | + | 17.9453i | −0.587502 | + | 1.01758i | 0.407057 | + | 0.913403i | \(0.366555\pi\) |
−0.994558 | + | 0.104180i | \(0.966778\pi\) | |||||||
\(312\) | 30.2113 | − | 2.20914i | 1.71038 | − | 0.125068i | ||||
\(313\) | 1.73680 | + | 3.00823i | 0.0981700 | + | 0.170035i | 0.910927 | − | 0.412567i | \(-0.135368\pi\) |
−0.812757 | + | 0.582603i | \(0.802034\pi\) | |||||||
\(314\) | −1.11127 | + | 8.07242i | −0.0627126 | + | 0.455553i | ||||
\(315\) | 11.7007 | − | 5.55434i | 0.659262 | − | 0.312952i | ||||
\(316\) | 4.88298 | − | 17.3992i | 0.274689 | − | 0.978782i | ||||
\(317\) | 7.64385 | + | 13.2395i | 0.429321 | + | 0.743606i | 0.996813 | − | 0.0797728i | \(-0.0254195\pi\) |
−0.567492 | + | 0.823379i | \(0.692086\pi\) | |||||||
\(318\) | 17.0211 | + | 3.04460i | 0.954497 | + | 0.170733i | ||||
\(319\) | −6.99370 | − | 4.03781i | −0.391572 | − | 0.226074i | ||||
\(320\) | −13.9605 | + | 3.21551i | −0.780416 | + | 0.179753i | ||||
\(321\) | −1.48575 | − | 0.939368i | −0.0829267 | − | 0.0524304i | ||||
\(322\) | 8.59117 | − | 3.49931i | 0.478767 | − | 0.195009i | ||||
\(323\) | 11.5770i | 0.644164i | ||||||||
\(324\) | −1.60353 | − | 17.9284i | −0.0890849 | − | 0.996024i | ||||
\(325\) | − | 11.0879i | − | 0.615047i | ||||||
\(326\) | 6.02229 | + | 14.7854i | 0.333544 | + | 0.818885i | ||||
\(327\) | 6.53397 | + | 4.13111i | 0.361329 | + | 0.228451i | ||||
\(328\) | 10.3358 | + | 13.9755i | 0.570698 | + | 0.771667i | ||||
\(329\) | −20.4196 | − | 11.7893i | −1.12577 | − | 0.649963i | ||||
\(330\) | 1.22159 | − | 6.82942i | 0.0672464 | − | 0.375947i | ||||
\(331\) | 3.09986 | + | 5.36912i | 0.170384 | + | 0.295114i | 0.938554 | − | 0.345132i | \(-0.112166\pi\) |
−0.768170 | + | 0.640246i | \(0.778833\pi\) | |||||||
\(332\) | −8.45795 | + | 30.1377i | −0.464190 | + | 1.65402i | ||||
\(333\) | 14.2101 | − | 6.74552i | 0.778706 | − | 0.369652i | ||||
\(334\) | 1.06041 | + | 0.145979i | 0.0580232 | + | 0.00798763i | ||||
\(335\) | 1.85854 | + | 3.21909i | 0.101543 | + | 0.175878i | ||||
\(336\) | −16.6694 | − | 1.06512i | −0.909391 | − | 0.0581068i | ||||
\(337\) | −9.63097 | + | 16.6813i | −0.524632 | + | 0.908690i | 0.474956 | + | 0.880009i | \(0.342464\pi\) |
−0.999589 | + | 0.0286803i | \(0.990870\pi\) | |||||||
\(338\) | −21.8907 | + | 28.1825i | −1.19070 | + | 1.53292i | ||||
\(339\) | 13.0268 | − | 6.83830i | 0.707518 | − | 0.371406i | ||||
\(340\) | 12.8377 | − | 3.27791i | 0.696221 | − | 0.177769i | ||||
\(341\) | −10.8724 | −0.588772 | ||||||||
\(342\) | 8.96030 | − | 9.79748i | 0.484517 | − | 0.529787i | ||||
\(343\) | 19.7393i | 1.06582i | ||||||||
\(344\) | 0.289090 | + | 2.54309i | 0.0155867 | + | 0.137114i | ||||
\(345\) | 8.43199 | + | 0.339128i | 0.453963 | + | 0.0182580i | ||||
\(346\) | 8.02870 | − | 10.3363i | 0.431625 | − | 0.555682i | ||||
\(347\) | 22.9191 | + | 13.2323i | 1.23036 | + | 0.710349i | 0.967105 | − | 0.254378i | \(-0.0818706\pi\) |
0.263255 | + | 0.964726i | \(0.415204\pi\) | |||||||
\(348\) | −13.1398 | + | 11.8396i | −0.704370 | + | 0.634672i | ||||
\(349\) | −14.8362 | + | 8.56568i | −0.794164 | + | 0.458511i | −0.841426 | − | 0.540372i | \(-0.818284\pi\) |
0.0472627 | + | 0.998882i | \(0.484950\pi\) | |||||||
\(350\) | −0.833810 | + | 6.05691i | −0.0445690 | + | 0.323755i | ||||
\(351\) | 25.6903 | + | 19.2954i | 1.37124 | + | 1.02991i | ||||
\(352\) | −5.65380 | + | 6.93444i | −0.301348 | + | 0.369607i | ||||
\(353\) | 26.8134 | − | 15.4807i | 1.42713 | − | 0.823955i | 0.430239 | − | 0.902715i | \(-0.358429\pi\) |
0.996894 | + | 0.0787597i | \(0.0250960\pi\) | |||||||
\(354\) | −13.1920 | − | 11.1250i | −0.701148 | − | 0.591287i | ||||
\(355\) | 2.96823 | − | 5.14113i | 0.157538 | − | 0.272863i | ||||
\(356\) | 1.62662 | + | 1.66549i | 0.0862108 | + | 0.0882708i | ||||
\(357\) | 15.4358 | + | 0.620816i | 0.816949 | + | 0.0328570i | ||||
\(358\) | −2.05013 | + | 0.835047i | −0.108353 | + | 0.0441336i | ||||
\(359\) | 6.43781 | 0.339775 | 0.169887 | − | 0.985463i | \(-0.445660\pi\) | ||||
0.169887 | + | 0.985463i | \(0.445660\pi\) | |||||||
\(360\) | −13.4013 | − | 7.16195i | −0.706313 | − | 0.377468i | ||||
\(361\) | −9.20680 | −0.484569 | ||||||||
\(362\) | −4.82376 | + | 1.96479i | −0.253531 | + | 0.103267i | ||||
\(363\) | 6.84158 | + | 13.0330i | 0.359090 | + | 0.684057i | ||||
\(364\) | 21.3299 | − | 20.8321i | 1.11799 | − | 1.09190i | ||||
\(365\) | −0.565009 | + | 0.978624i | −0.0295739 | + | 0.0512235i | ||||
\(366\) | 8.11661 | − | 2.93155i | 0.424262 | − | 0.153234i | ||||
\(367\) | 23.8725 | − | 13.7828i | 1.24614 | − | 0.719457i | 0.275800 | − | 0.961215i | \(-0.411057\pi\) |
0.970337 | + | 0.241758i | \(0.0777241\pi\) | |||||||
\(368\) | −9.29376 | − | 5.66245i | −0.484471 | − | 0.295176i | ||||
\(369\) | −1.48062 | + | 18.3771i | −0.0770780 | + | 0.956674i | ||||
\(370\) | 1.81089 | − | 13.1546i | 0.0941439 | − | 0.683875i | ||||
\(371\) | 14.7389 | − | 8.50953i | 0.765208 | − | 0.441793i | ||||
\(372\) | −7.35039 | + | 22.6496i | −0.381100 | + | 1.17433i | ||||
\(373\) | −23.2547 | − | 13.4261i | −1.20408 | − | 0.695178i | −0.242623 | − | 0.970121i | \(-0.578008\pi\) |
−0.961461 | + | 0.274942i | \(0.911341\pi\) | |||||||
\(374\) | 5.07608 | − | 6.53504i | 0.262478 | − | 0.337919i | ||||
\(375\) | −11.2599 | + | 17.8093i | −0.581461 | + | 0.919669i | ||||
\(376\) | 3.12435 | + | 27.4846i | 0.161126 | + | 1.41741i | ||||
\(377\) | − | 31.5709i | − | 1.62599i | ||||||
\(378\) | −12.5826 | − | 12.4723i | −0.647179 | − | 0.641504i | ||||
\(379\) | 4.63966 | 0.238323 | 0.119162 | − | 0.992875i | \(-0.461979\pi\) | ||||
0.119162 | + | 0.992875i | \(0.461979\pi\) | |||||||
\(380\) | −2.77283 | − | 10.8596i | −0.142243 | − | 0.557085i | ||||
\(381\) | −23.2917 | − | 14.7262i | −1.19327 | − | 0.754445i | ||||
\(382\) | −20.5912 | + | 26.5095i | −1.05354 | + | 1.35635i | ||||
\(383\) | 17.7531 | − | 30.7493i | 0.907141 | − | 1.57122i | 0.0891248 | − | 0.996020i | \(-0.471593\pi\) |
0.818017 | − | 0.575195i | \(-0.195074\pi\) | |||||||
\(384\) | 10.6237 | + | 16.4662i | 0.542138 | + | 0.840289i | ||||
\(385\) | −3.41430 | − | 5.91373i | −0.174009 | − | 0.301392i | ||||
\(386\) | 35.8690 | + | 4.93782i | 1.82568 | + | 0.251328i | ||||
\(387\) | −1.54179 | + | 2.23442i | −0.0783735 | + | 0.113582i | ||||
\(388\) | 25.9179 | + | 7.27370i | 1.31578 | + | 0.369266i | ||||
\(389\) | 3.19920 | + | 5.54117i | 0.162206 | + | 0.280949i | 0.935659 | − | 0.352904i | \(-0.114806\pi\) |
−0.773454 | + | 0.633853i | \(0.781473\pi\) | |||||||
\(390\) | 25.5098 | − | 9.21361i | 1.29174 | − | 0.466549i | ||||
\(391\) | 8.71666 | + | 5.03257i | 0.440821 | + | 0.254508i | ||||
\(392\) | 2.70029 | − | 1.99704i | 0.136385 | − | 0.100866i | ||||
\(393\) | 2.45737 | − | 1.28998i | 0.123958 | − | 0.0650707i | ||||
\(394\) | −3.07631 | − | 7.55266i | −0.154982 | − | 0.380498i | ||||
\(395\) | − | 16.1807i | − | 0.814141i | ||||||
\(396\) | −9.35375 | + | 1.60177i | −0.470044 | + | 0.0804918i | ||||
\(397\) | 3.01894i | 0.151516i | 0.997126 | + | 0.0757581i | \(0.0241377\pi\) | ||||
−0.997126 | + | 0.0757581i | \(0.975862\pi\) | |||||||
\(398\) | −1.62621 | + | 0.662378i | −0.0815144 | + | 0.0332020i | ||||
\(399\) | 0.525158 | − | 13.0574i | 0.0262908 | − | 0.653687i | ||||
\(400\) | 6.29476 | − | 3.43874i | 0.314738 | − | 0.171937i | ||||
\(401\) | 25.1191 | + | 14.5025i | 1.25439 | + | 0.724222i | 0.971978 | − | 0.235072i | \(-0.0755326\pi\) |
0.282411 | + | 0.959294i | \(0.408866\pi\) | |||||||
\(402\) | 3.27781 | − | 3.88683i | 0.163482 | − | 0.193857i | ||||
\(403\) | −21.2523 | − | 36.8100i | −1.05865 | − | 1.83364i | ||||
\(404\) | 12.6338 | + | 3.54560i | 0.628555 | + | 0.176400i | ||||
\(405\) | −5.71987 | − | 15.0676i | −0.284223 | − | 0.748717i | ||||
\(406\) | −2.37413 | + | 17.2460i | −0.117826 | + | 0.855904i | ||||
\(407\) | −4.14652 | − | 7.18198i | −0.205535 | − | 0.355998i | ||||
\(408\) | −10.1822 | − | 14.9927i | −0.504095 | − | 0.742250i | ||||
\(409\) | −0.662169 | + | 1.14691i | −0.0327422 | + | 0.0567111i | −0.881932 | − | 0.471376i | \(-0.843757\pi\) |
0.849190 | + | 0.528087i | \(0.177091\pi\) | |||||||
\(410\) | 12.2913 | + | 9.54728i | 0.607026 | + | 0.471507i | ||||
\(411\) | −0.853191 | + | 21.2135i | −0.0420848 | + | 1.04639i | ||||
\(412\) | −11.4603 | + | 2.92621i | −0.564608 | + | 0.144164i | ||||
\(413\) | −16.9851 | −0.835781 | ||||||||
\(414\) | −3.48172 | − | 11.0054i | −0.171117 | − | 0.540888i | ||||
\(415\) | 28.0271i | 1.37580i | ||||||||
\(416\) | −34.5291 | − | 5.58698i | −1.69293 | − | 0.273924i | ||||
\(417\) | 0.996550 | + | 1.89840i | 0.0488013 | + | 0.0929651i | ||||
\(418\) | −5.52809 | − | 4.29394i | −0.270388 | − | 0.210023i | ||||
\(419\) | −27.2974 | − | 15.7602i | −1.33357 | − | 0.769935i | −0.347722 | − | 0.937598i | \(-0.613045\pi\) |
−0.985844 | + | 0.167663i | \(0.946378\pi\) | |||||||
\(420\) | −14.6279 | + | 3.11471i | −0.713769 | + | 0.151982i | ||||
\(421\) | −30.9851 | + | 17.8893i | −1.51012 | + | 0.871869i | −0.510192 | + | 0.860061i | \(0.670426\pi\) |
−0.999930 | + | 0.0118087i | \(0.996241\pi\) | |||||||
\(422\) | 4.54468 | + | 0.625632i | 0.221231 | + | 0.0304553i | ||||
\(423\) | −16.6629 | + | 24.1486i | −0.810180 | + | 1.17415i | ||||
\(424\) | −18.3082 | − | 7.96620i | −0.889125 | − | 0.386873i | ||||
\(425\) | −5.74505 | + | 3.31691i | −0.278676 | + | 0.160894i | ||||
\(426\) | −7.99335 | − | 1.42979i | −0.387279 | − | 0.0692735i | ||||
\(427\) | 4.24697 | − | 7.35597i | 0.205525 | − | 0.355980i | ||||
\(428\) | 1.41820 | + | 1.45209i | 0.0685511 | + | 0.0701892i | ||||
\(429\) | 9.05229 | − | 14.3176i | 0.437049 | − | 0.691259i | ||||
\(430\) | 0.864479 | + | 2.12239i | 0.0416889 | + | 0.102351i | ||||
\(431\) | −17.1129 | −0.824301 | −0.412150 | − | 0.911116i | \(-0.635222\pi\) | ||||
−0.412150 | + | 0.911116i | \(0.635222\pi\) | |||||||
\(432\) | −2.98686 | + | 20.5689i | −0.143705 | + | 0.989620i | ||||
\(433\) | −19.1099 | −0.918363 | −0.459182 | − | 0.888342i | \(-0.651857\pi\) | ||||
−0.459182 | + | 0.888342i | \(0.651857\pi\) | |||||||
\(434\) | 8.84121 | + | 21.7061i | 0.424391 | + | 1.04193i | ||||
\(435\) | −8.46307 | + | 13.3856i | −0.405773 | + | 0.641791i | ||||
\(436\) | −6.23688 | − | 6.38591i | −0.298692 | − | 0.305830i | ||||
\(437\) | 4.25713 | − | 7.37356i | 0.203646 | − | 0.352725i | ||||
\(438\) | 1.52155 | + | 0.272163i | 0.0727024 | + | 0.0130044i | ||||
\(439\) | 29.4886 | − | 17.0253i | 1.40742 | − | 0.812572i | 0.412277 | − | 0.911058i | \(-0.364734\pi\) |
0.995138 | + | 0.0984868i | \(0.0314002\pi\) | |||||||
\(440\) | −3.19630 | + | 7.34584i | −0.152377 | + | 0.350199i | ||||
\(441\) | 3.55076 | + | 0.286080i | 0.169084 | + | 0.0136229i | ||||
\(442\) | 32.0476 | + | 4.41175i | 1.52435 | + | 0.209846i | ||||
\(443\) | 17.1586 | − | 9.90651i | 0.815229 | − | 0.470673i | −0.0335394 | − | 0.999437i | \(-0.510678\pi\) |
0.848768 | + | 0.528765i | \(0.177345\pi\) | |||||||
\(444\) | −17.7650 | + | 3.78268i | −0.843089 | + | 0.179518i | ||||
\(445\) | 1.80521 | + | 1.04224i | 0.0855749 | + | 0.0494067i | ||||
\(446\) | −15.6333 | − | 12.1431i | −0.740258 | − | 0.574995i | ||||
\(447\) | −4.78167 | − | 9.10896i | −0.226165 | − | 0.430839i | ||||
\(448\) | 18.4418 | + | 5.64854i | 0.871292 | + | 0.266868i | ||||
\(449\) | − | 8.73916i | − | 0.412426i | −0.978507 | − | 0.206213i | \(-0.933886\pi\) | ||
0.978507 | − | 0.206213i | \(-0.0661140\pi\) | |||||||
\(450\) | 7.42915 | + | 1.63946i | 0.350213 | + | 0.0772847i | ||||
\(451\) | 9.72012 | 0.457703 | ||||||||
\(452\) | −16.4605 | + | 4.20294i | −0.774237 | + | 0.197690i | ||||
\(453\) | −0.961772 | + | 23.9133i | −0.0451880 | + | 1.12354i | ||||
\(454\) | −11.2892 | − | 8.76883i | −0.529826 | − | 0.411542i | ||||
\(455\) | 13.3479 | − | 23.1192i | 0.625758 | − | 1.08384i | ||||
\(456\) | −12.6826 | + | 8.61331i | −0.593916 | + | 0.403355i | ||||
\(457\) | −1.25081 | − | 2.16647i | −0.0585104 | − | 0.101343i | 0.835287 | − | 0.549815i | \(-0.185302\pi\) |
−0.893797 | + | 0.448472i | \(0.851968\pi\) | |||||||
\(458\) | −2.21152 | + | 16.0648i | −0.103338 | + | 0.750659i | ||||
\(459\) | 2.31252 | − | 19.0832i | 0.107939 | − | 0.890728i | ||||
\(460\) | −9.38184 | − | 2.63295i | −0.437430 | − | 0.122762i | ||||
\(461\) | −2.63419 | − | 4.56255i | −0.122686 | − | 0.212499i | 0.798140 | − | 0.602472i | \(-0.205818\pi\) |
−0.920826 | + | 0.389973i | \(0.872484\pi\) | |||||||
\(462\) | −6.02160 | + | 7.14041i | −0.280150 | + | 0.332202i | ||||
\(463\) | 15.2227 | + | 8.78883i | 0.707459 | + | 0.408451i | 0.810119 | − | 0.586265i | \(-0.199402\pi\) |
−0.102661 | + | 0.994716i | \(0.532736\pi\) | |||||||
\(464\) | 17.9232 | − | 9.79120i | 0.832066 | − | 0.454545i | ||||
\(465\) | −0.856827 | + | 21.3039i | −0.0397344 | + | 0.987946i | ||||
\(466\) | −8.83888 | + | 3.60020i | −0.409453 | + | 0.166776i | ||||
\(467\) | − | 2.29842i | − | 0.106358i | −0.998585 | − | 0.0531791i | \(-0.983065\pi\) | ||
0.998585 | − | 0.0531791i | \(-0.0169354\pi\) | |||||||
\(468\) | −23.7068 | − | 28.5375i | −1.09585 | − | 1.31915i | ||||
\(469\) | − | 5.00439i | − | 0.231081i | ||||||
\(470\) | 9.34290 | + | 22.9378i | 0.430956 | + | 1.05804i | ||||
\(471\) | 8.83640 | − | 4.63859i | 0.407160 | − | 0.213735i | ||||
\(472\) | 11.8486 | + | 16.0210i | 0.545374 | + | 0.737425i | ||||
\(473\) | 1.23950 | + | 0.715626i | 0.0569923 | + | 0.0329045i | ||||
\(474\) | −20.8167 | + | 7.51855i | −0.956143 | + | 0.345338i | ||||
\(475\) | 2.80582 | + | 4.85983i | 0.128740 | + | 0.222984i | ||||
\(476\) | −17.1746 | − | 4.81995i | −0.787197 | − | 0.220922i | ||||
\(477\) | −9.08162 | − | 19.1313i | −0.415819 | − | 0.875961i | ||||
\(478\) | 0.189947 | + | 0.0261485i | 0.00868795 | + | 0.00119601i | ||||
\(479\) | −18.0219 | − | 31.2149i | −0.823442 | − | 1.42624i | −0.903104 | − | 0.429422i | \(-0.858717\pi\) |
0.0796622 | − | 0.996822i | \(-0.474616\pi\) | |||||||
\(480\) | 13.1422 | + | 11.6248i | 0.599854 | + | 0.530599i | ||||
\(481\) | 16.2104 | − | 28.0773i | 0.739132 | − | 1.28021i | ||||
\(482\) | 16.8603 | − | 21.7062i | 0.767963 | − | 0.988690i | ||||
\(483\) | −9.60297 | − | 6.07149i | −0.436950 | − | 0.276262i | ||||
\(484\) | −4.20496 | − | 16.4684i | −0.191134 | − | 0.748564i | ||||
\(485\) | 24.1029 | 1.09446 | ||||||||
\(486\) | −16.7269 | + | 14.3600i | −0.758748 | + | 0.651384i | ||||
\(487\) | 2.72292i | 0.123387i | 0.998095 | + | 0.0616937i | \(0.0196502\pi\) | ||||
−0.998095 | + | 0.0616937i | \(0.980350\pi\) | |||||||
\(488\) | −9.90106 | + | 1.12552i | −0.448200 | + | 0.0509498i | ||||
\(489\) | 10.4490 | − | 16.5267i | 0.472520 | − | 0.747362i | ||||
\(490\) | 1.84469 | − | 2.37489i | 0.0833347 | − | 0.107287i | ||||
\(491\) | 13.1715 | + | 7.60457i | 0.594421 | + | 0.343189i | 0.766844 | − | 0.641834i | \(-0.221826\pi\) |
−0.172422 | + | 0.985023i | \(0.555159\pi\) | |||||||
\(492\) | 6.57139 | − | 20.2492i | 0.296261 | − | 0.912905i | ||||
\(493\) | −16.3580 | + | 9.44432i | −0.736729 | + | 0.425351i | ||||
\(494\) | 3.73197 | − | 27.1095i | 0.167909 | − | 1.21972i | ||||
\(495\) | −7.67608 | + | 3.64384i | −0.345014 | + | 0.163778i | ||||
\(496\) | 14.3065 | − | 23.4812i | 0.642382 | − | 1.05434i | ||||
\(497\) | −6.92161 | + | 3.99619i | −0.310477 | + | 0.179254i | ||||
\(498\) | 36.0572 | − | 13.0231i | 1.61576 | − | 0.583579i | ||||
\(499\) | −19.7305 | + | 34.1743i | −0.883260 | + | 1.52985i | −0.0355642 | + | 0.999367i | \(0.511323\pi\) |
−0.847695 | + | 0.530483i | \(0.822010\pi\) | |||||||
\(500\) | 17.4057 | − | 16.9995i | 0.778409 | − | 0.760242i | ||||
\(501\) | −0.609336 | − | 1.16077i | −0.0272231 | − | 0.0518594i | ||||
\(502\) | 24.6016 | − | 10.0206i | 1.09802 | − | 0.447241i | ||||
\(503\) | 18.4749 | 0.823756 | 0.411878 | − | 0.911239i | \(-0.364873\pi\) | ||||
0.411878 | + | 0.911239i | \(0.364873\pi\) | |||||||
\(504\) | 10.8041 | + | 17.3717i | 0.481254 | + | 0.773798i | ||||
\(505\) | 11.7490 | 0.522826 | ||||||||
\(506\) | −5.63610 | + | 2.29566i | −0.250555 | + | 0.102055i | ||||
\(507\) | 43.6703 | + | 1.75638i | 1.93947 | + | 0.0780038i | ||||
\(508\) | 22.2326 | + | 22.7639i | 0.986413 | + | 1.00998i | ||||
\(509\) | −17.0068 | + | 29.4566i | −0.753813 | + | 1.30564i | 0.192149 | + | 0.981366i | \(0.438454\pi\) |
−0.945962 | + | 0.324277i | \(0.894879\pi\) | |||||||
\(510\) | −12.4051 | − | 10.4614i | −0.549306 | − | 0.463237i | ||||
\(511\) | 1.31754 | − | 0.760683i | 0.0582846 | − | 0.0336506i | ||||
\(512\) | −7.53681 | − | 21.3353i | −0.333083 | − | 0.942897i | ||||
\(513\) | −16.1428 | − | 1.95619i | −0.712722 | − | 0.0863680i | ||||
\(514\) | −4.16313 | + | 30.2415i | −0.183628 | + | 1.33390i | ||||
\(515\) | −9.17165 | + | 5.29525i | −0.404151 | + | 0.233337i | ||||
\(516\) | 2.32879 | − | 2.09835i | 0.102519 | − | 0.0923748i | ||||
\(517\) | 13.3960 | + | 7.73416i | 0.589153 | + | 0.340148i | ||||
\(518\) | −10.9666 | + | 14.1185i | −0.481843 | + | 0.620333i | ||||
\(519\) | −16.0167 | − | 0.644177i | −0.703053 | − | 0.0282762i | ||||
\(520\) | −31.1182 | + | 3.53741i | −1.36462 | + | 0.155126i | ||||
\(521\) | 12.0788i | 0.529182i | 0.964361 | + | 0.264591i | \(0.0852369\pi\) | ||||
−0.964361 | + | 0.264591i | \(0.914763\pi\) | |||||||
\(522\) | 21.1532 | + | 4.66807i | 0.925851 | + | 0.204316i | ||||
\(523\) | 5.27483 | 0.230652 | 0.115326 | − | 0.993328i | \(-0.463209\pi\) | ||||
0.115326 | + | 0.993328i | \(0.463209\pi\) | |||||||
\(524\) | −3.10511 | + | 0.792842i | −0.135647 | + | 0.0346354i | ||||
\(525\) | 6.63013 | − | 3.48043i | 0.289363 | − | 0.151899i | ||||
\(526\) | 14.8693 | − | 19.1430i | 0.648333 | − | 0.834676i | ||||
\(527\) | −12.7151 | + | 22.0232i | −0.553877 | + | 0.959344i | ||||
\(528\) | 10.9357 | + | 0.698752i | 0.475915 | + | 0.0304093i | ||||
\(529\) | 7.79883 | + | 13.5080i | 0.339080 | + | 0.587303i | ||||
\(530\) | −17.7103 | − | 2.43804i | −0.769286 | − | 0.105902i | ||||
\(531\) | −1.69733 | + | 21.0668i | −0.0736578 | + | 0.914223i | ||||
\(532\) | −4.07727 | + | 14.5283i | −0.176772 | + | 0.629881i | ||||
\(533\) | 19.0000 | + | 32.9089i | 0.822980 | + | 1.42544i | ||||
\(534\) | 0.502041 | − | 2.80670i | 0.0217254 | − | 0.121458i | ||||
\(535\) | 1.57390 | + | 0.908690i | 0.0680455 | + | 0.0392861i | ||||
\(536\) | −4.72033 | + | 3.49099i | −0.203887 | + | 0.150788i | ||||
\(537\) | 2.29158 | + | 1.44885i | 0.0988889 | + | 0.0625226i | ||||
\(538\) | 10.7373 | + | 26.3611i | 0.462917 | + | 1.13651i | ||||
\(539\) | − | 1.87809i | − | 0.0808950i | ||||||
\(540\) | 2.40144 | + | 18.4545i | 0.103342 | + | 0.794154i | ||||
\(541\) | − | 23.6734i | − | 1.01780i | −0.860826 | − | 0.508900i | \(-0.830052\pi\) | ||
0.860826 | − | 0.508900i | \(-0.169948\pi\) | |||||||
\(542\) | 8.12475 | − | 3.30933i | 0.348988 | − | 0.142148i | ||||
\(543\) | 5.39186 | + | 3.40901i | 0.231387 | + | 0.146295i | ||||
\(544\) | 7.43442 | + | 19.5621i | 0.318748 | + | 0.838717i | ||||
\(545\) | −6.92161 | − | 3.99619i | −0.296489 | − | 0.171178i | ||||
\(546\) | −35.9454 | − | 6.42962i | −1.53832 | − | 0.275163i | ||||
\(547\) | 10.5319 | + | 18.2418i | 0.450312 | + | 0.779964i | 0.998405 | − | 0.0564536i | \(-0.0179793\pi\) |
−0.548093 | + | 0.836417i | \(0.684646\pi\) | |||||||
\(548\) | 6.62409 | − | 23.6032i | 0.282967 | − | 1.00828i | ||||
\(549\) | −8.69931 | − | 6.00266i | −0.371278 | − | 0.256187i | ||||
\(550\) | 0.547007 | − | 3.97354i | 0.0233245 | − | 0.169432i | ||||
\(551\) | 7.98910 | + | 13.8375i | 0.340347 | + | 0.589498i | ||||
\(552\) | 0.972044 | + | 13.2933i | 0.0413729 | + | 0.565800i | ||||
\(553\) | −10.8922 | + | 18.8659i | −0.463184 | + | 0.802259i | ||||
\(554\) | 13.6781 | + | 10.6244i | 0.581126 | + | 0.451389i | ||||
\(555\) | −14.3995 | + | 7.55892i | −0.611226 | + | 0.320858i | ||||
\(556\) | −0.612497 | − | 2.39880i | −0.0259756 | − | 0.101732i | ||||
\(557\) | 9.64427 | 0.408641 | 0.204321 | − | 0.978904i | \(-0.434502\pi\) | ||||
0.204321 | + | 0.978904i | \(0.434502\pi\) | |||||||
\(558\) | 27.8059 | − | 8.79677i | 1.17712 | − | 0.372397i | ||||
\(559\) | 5.59535i | 0.236658i | ||||||||
\(560\) | 17.2647 | + | 0.407733i | 0.729567 | + | 0.0172299i | ||||
\(561\) | −10.1264 | − | 0.407276i | −0.427537 | − | 0.0171952i | ||||
\(562\) | −19.5541 | − | 15.1886i | −0.824841 | − | 0.640694i | ||||
\(563\) | −36.8534 | − | 21.2773i | −1.55319 | − | 0.896733i | −0.997880 | − | 0.0650873i | \(-0.979267\pi\) |
−0.555307 | − | 0.831645i | \(-0.687399\pi\) | |||||||
\(564\) | 25.1685 | − | 22.6780i | 1.05978 | − | 0.954918i | ||||
\(565\) | −13.1733 | + | 7.60561i | −0.554205 | + | 0.319970i | ||||
\(566\) | −10.6391 | − | 1.46461i | −0.447196 | − | 0.0615622i | ||||
\(567\) | −3.47387 | + | 21.4185i | −0.145889 | + | 0.899491i | ||||
\(568\) | 8.59779 | + | 3.74104i | 0.360755 | + | 0.156971i | ||||
\(569\) | −8.25996 | + | 4.76889i | −0.346275 | + | 0.199922i | −0.663044 | − | 0.748581i | \(-0.730736\pi\) |
0.316768 | + | 0.948503i | \(0.397402\pi\) | |||||||
\(570\) | −8.84943 | + | 10.4936i | −0.370662 | + | 0.439531i | ||||
\(571\) | 13.4455 | − | 23.2882i | 0.562675 | − | 0.974582i | −0.434587 | − | 0.900630i | \(-0.643106\pi\) |
0.997262 | − | 0.0739518i | \(-0.0235611\pi\) | |||||||
\(572\) | −13.9931 | + | 13.6666i | −0.585082 | + | 0.571427i | ||||
\(573\) | 41.0780 | + | 1.65212i | 1.71606 | + | 0.0690185i | ||||
\(574\) | −7.90421 | − | 19.4057i | −0.329915 | − | 0.809977i | ||||
\(575\) | 4.87880 | 0.203460 | ||||||||
\(576\) | 8.84886 | − | 22.3091i | 0.368702 | − | 0.929547i | ||||
\(577\) | −8.52363 | −0.354843 | −0.177422 | − | 0.984135i | \(-0.556776\pi\) | ||||
−0.177422 | + | 0.984135i | \(0.556776\pi\) | |||||||
\(578\) | 1.76804 | + | 4.34072i | 0.0735407 | + | 0.180550i | ||||
\(579\) | −20.6111 | − | 39.2636i | −0.856569 | − | 1.63174i | ||||
\(580\) | 13.0823 | − | 12.7770i | 0.543213 | − | 0.530535i | ||||
\(581\) | 18.8667 | − | 32.6781i | 0.782724 | − | 1.35572i | ||||
\(582\) | −11.1997 | − | 31.0086i | −0.464241 | − | 1.28535i | ||||
\(583\) | −9.66924 | + | 5.58254i | −0.400459 | + | 0.231205i | ||||
\(584\) | −1.63660 | − | 0.712114i | −0.0677232 | − | 0.0294675i | ||||
\(585\) | −27.3412 | − | 18.8659i | −1.13042 | − | 0.780008i | ||||
\(586\) | −35.3513 | − | 4.86655i | −1.46035 | − | 0.201035i | ||||
\(587\) | −19.4568 | + | 11.2334i | −0.803067 | + | 0.463651i | −0.844542 | − | 0.535489i | \(-0.820127\pi\) |
0.0414756 | + | 0.999140i | \(0.486794\pi\) | |||||||
\(588\) | −3.91248 | − | 1.26970i | −0.161348 | − | 0.0523616i | ||||
\(589\) | 18.6297 | + | 10.7559i | 0.767625 | + | 0.443189i | ||||
\(590\) | 14.0903 | + | 10.9447i | 0.580090 | + | 0.450584i | ||||
\(591\) | −5.33756 | + | 8.44216i | −0.219558 | + | 0.347264i | ||||
\(592\) | 20.9673 | + | 0.495174i | 0.861749 | + | 0.0203515i | ||||
\(593\) | 28.8424i | 1.18442i | 0.805785 | + | 0.592208i | \(0.201743\pi\) | ||||
−0.805785 | + | 0.592208i | \(0.798257\pi\) | |||||||
\(594\) | 8.25462 | + | 8.18223i | 0.338691 | + | 0.335721i | ||||
\(595\) | −15.9719 | −0.654783 | ||||||||
\(596\) | 2.93890 | + | 11.5100i | 0.120382 | + | 0.471467i | ||||
\(597\) | 1.81773 | + | 1.14926i | 0.0743947 | + | 0.0470361i | ||||
\(598\) | −18.7892 | − | 14.5945i | −0.768348 | − | 0.596813i | ||||
\(599\) | −8.40225 | + | 14.5531i | −0.343307 | + | 0.594625i | −0.985045 | − | 0.172299i | \(-0.944880\pi\) |
0.641738 | + | 0.766924i | \(0.278214\pi\) | |||||||
\(600\) | −7.90797 | − | 3.82589i | −0.322841 | − | 0.156191i | ||||
\(601\) | 14.8802 | + | 25.7732i | 0.606974 | + | 1.05131i | 0.991736 | + | 0.128294i | \(0.0409502\pi\) |
−0.384762 | + | 0.923016i | \(0.625716\pi\) | |||||||
\(602\) | 0.420769 | − | 3.05653i | 0.0171493 | − | 0.124575i | ||||
\(603\) | −6.20702 | − | 0.500092i | −0.252769 | − | 0.0203653i | ||||
\(604\) | 7.46710 | − | 26.6070i | 0.303832 | − | 1.08263i | ||||
\(605\) | −7.60926 | − | 13.1796i | −0.309360 | − | 0.535828i | ||||
\(606\) | −5.45932 | − | 15.1153i | −0.221770 | − | 0.614017i | ||||
\(607\) | −20.9599 | − | 12.1012i | −0.850737 | − | 0.491173i | 0.0101625 | − | 0.999948i | \(-0.496765\pi\) |
−0.860899 | + | 0.508775i | \(0.830098\pi\) | |||||||
\(608\) | 16.5479 | − | 6.28889i | 0.671105 | − | 0.255048i | ||||
\(609\) | 18.8782 | − | 9.90993i | 0.764981 | − | 0.401571i | ||||
\(610\) | −8.26312 | + | 3.36569i | −0.334564 | + | 0.136273i | ||||
\(611\) | 60.4720i | 2.44643i | ||||||||
\(612\) | −7.69452 | + | 20.8203i | −0.311032 | + | 0.841609i | ||||
\(613\) | − | 38.3189i | − | 1.54769i | −0.633377 | − | 0.773843i | \(-0.718332\pi\) | ||
0.633377 | − | 0.773843i | \(-0.281668\pi\) | |||||||
\(614\) | −15.7906 | − | 38.7677i | −0.637259 | − | 1.56454i | ||||
\(615\) | 0.766020 | − | 19.0461i | 0.0308889 | − | 0.768014i | ||||
\(616\) | 8.67163 | − | 6.41324i | 0.349390 | − | 0.258397i | ||||
\(617\) | −7.31357 | − | 4.22249i | −0.294433 | − | 0.169991i | 0.345506 | − | 0.938417i | \(-0.387707\pi\) |
−0.639939 | + | 0.768425i | \(0.721041\pi\) | |||||||
\(618\) | 11.0741 | + | 9.33894i | 0.445466 | + | 0.375667i | ||||
\(619\) | 4.12431 | + | 7.14352i | 0.165770 | + | 0.287122i | 0.936929 | − | 0.349521i | \(-0.113656\pi\) |
−0.771158 | + | 0.636643i | \(0.780322\pi\) | |||||||
\(620\) | 6.65231 | − | 23.7038i | 0.267163 | − | 0.951966i | ||||
\(621\) | −8.49018 | + | 11.3040i | −0.340699 | + | 0.453613i | ||||
\(622\) | −29.0307 | − | 3.99644i | −1.16403 | − | 0.160243i | ||||
\(623\) | −1.40318 | − | 2.43038i | −0.0562173 | − | 0.0973713i | ||||
\(624\) | 19.0103 | + | 38.3903i | 0.761022 | + | 1.53684i | ||||
\(625\) | 6.40923 | − | 11.1011i | 0.256369 | − | 0.444044i | ||||
\(626\) | −3.01345 | + | 3.87957i | −0.120442 | + | 0.155059i | ||||
\(627\) | −0.344521 | + | 8.56609i | −0.0137589 | + | 0.342097i | ||||
\(628\) | −11.1656 | + | 2.85096i | −0.445555 | + | 0.113766i | ||||
\(629\) | −19.3972 | −0.773415 | ||||||||
\(630\) | 13.5168 | + | 12.3618i | 0.538521 | + | 0.492505i | ||||
\(631\) | − | 34.0954i | − | 1.35732i | −0.734454 | − | 0.678659i | \(-0.762561\pi\) | ||
0.734454 | − | 0.678659i | \(-0.237439\pi\) | |||||||
\(632\) | 25.3933 | − | 2.88662i | 1.01009 | − | 0.114824i | ||||
\(633\) | −2.61147 | − | 4.97478i | −0.103797 | − | 0.197730i | ||||
\(634\) | −13.2625 | + | 17.0744i | −0.526721 | + | 0.678110i | ||||
\(635\) | 24.6735 | + | 14.2452i | 0.979138 | + | 0.565305i | ||||
\(636\) | 5.09270 | + | 23.9174i | 0.201939 | + | 0.948385i | ||||
\(637\) | 6.35854 | − | 3.67111i | 0.251935 | − | 0.145455i | ||||
\(638\) | 1.55751 | − | 11.3140i | 0.0616624 | − | 0.447924i | ||||
\(639\) | 4.26486 | + | 8.98432i | 0.168715 | + | 0.355414i | ||||
\(640\) | −11.6590 | − | 16.5692i | −0.460864 | − | 0.654954i | ||||
\(641\) | 20.9715 | − | 12.1079i | 0.828324 | − | 0.478233i | −0.0249544 | − | 0.999689i | \(-0.507944\pi\) |
0.853279 | + | 0.521455i | \(0.174611\pi\) | |||||||
\(642\) | 0.437713 | − | 2.44707i | 0.0172752 | − | 0.0965782i | ||||
\(643\) | 11.3299 | − | 19.6240i | 0.446808 | − | 0.773895i | −0.551368 | − | 0.834262i | \(-0.685894\pi\) |
0.998176 | + | 0.0603676i | \(0.0192273\pi\) | |||||||
\(644\) | 9.16633 | + | 9.38536i | 0.361204 | + | 0.369835i | ||||
\(645\) | 1.49992 | − | 2.37235i | 0.0590592 | − | 0.0934110i | ||||
\(646\) | −15.1628 | + | 6.17605i | −0.596574 | + | 0.242993i | ||||
\(647\) | −38.6020 | −1.51760 | −0.758800 | − | 0.651323i | \(-0.774214\pi\) | ||||
−0.758800 | + | 0.651323i | \(0.774214\pi\) | |||||||
\(648\) | 22.6261 | − | 11.6646i | 0.888835 | − | 0.458227i | ||||
\(649\) | 11.1428 | 0.437393 | ||||||||
\(650\) | 14.5222 | − | 5.91512i | 0.569609 | − | 0.232010i | ||||
\(651\) | 15.3400 | − | 24.2625i | 0.601221 | − | 0.950921i | ||||
\(652\) | −16.1522 | + | 15.7752i | −0.632568 | + | 0.617805i | ||||
\(653\) | −13.1416 | + | 22.7619i | −0.514271 | + | 0.890743i | 0.485592 | + | 0.874185i | \(0.338604\pi\) |
−0.999863 | + | 0.0165576i | \(0.994729\pi\) | |||||||
\(654\) | −1.92495 | + | 10.7616i | −0.0752716 | + | 0.420812i | ||||
\(655\) | −2.48501 | + | 1.43472i | −0.0970973 | + | 0.0560592i | ||||
\(656\) | −12.7903 | + | 20.9927i | −0.499378 | + | 0.819627i | ||||
\(657\) | −0.811823 | − | 1.71018i | −0.0316722 | − | 0.0667205i | ||||
\(658\) | 4.54748 | − | 33.0335i | 0.177279 | − | 1.28778i | ||||
\(659\) | 33.1862 | − | 19.1601i | 1.29275 | − | 0.746370i | 0.313610 | − | 0.949552i | \(-0.398462\pi\) |
0.979141 | + | 0.203182i | \(0.0651283\pi\) | |||||||
\(660\) | 9.59641 | − | 2.04335i | 0.373540 | − | 0.0795374i | ||||
\(661\) | 38.7145 | + | 22.3518i | 1.50582 | + | 0.869385i | 0.999977 | + | 0.00675901i | \(0.00215148\pi\) |
0.505842 | + | 0.862626i | \(0.331182\pi\) | |||||||
\(662\) | −5.37843 | + | 6.92429i | −0.209039 | + | 0.269120i | ||||
\(663\) | −18.4152 | − | 35.0805i | −0.715189 | − | 1.36242i | ||||
\(664\) | −43.9845 | + | 5.00000i | −1.70693 | + | 0.194038i | ||||
\(665\) | 13.5109i | 0.523928i | ||||||||
\(666\) | 16.4155 | + | 15.0128i | 0.636089 | + | 0.581736i | ||||
\(667\) | 13.8915 | 0.537882 | ||||||||
\(668\) | 0.374509 | + | 1.46674i | 0.0144902 | + | 0.0567497i | ||||
\(669\) | −0.974297 | + | 24.2247i | −0.0376685 | + | 0.936580i | ||||
\(670\) | −3.22467 | + | 4.15150i | −0.124580 | + | 0.160387i | ||||
\(671\) | −2.78616 | + | 4.82576i | −0.107558 | + | 0.186297i | ||||
\(672\) | −7.49768 | − | 22.4007i | −0.289229 | − | 0.864127i | ||||
\(673\) | −12.8138 | − | 22.1942i | −0.493937 | − | 0.855524i | 0.506039 | − | 0.862511i | \(-0.331109\pi\) |
−0.999976 | + | 0.00698696i | \(0.997776\pi\) | |||||||
\(674\) | −26.9860 | − | 3.71496i | −1.03946 | − | 0.143095i | ||||
\(675\) | −3.65428 | − | 8.57125i | −0.140653 | − | 0.329908i | ||||
\(676\) | −48.5897 | − | 13.6364i | −1.86883 | − | 0.524476i | ||||
\(677\) | −11.1613 | − | 19.3320i | −0.428964 | − | 0.742988i | 0.567817 | − | 0.823155i | \(-0.307788\pi\) |
−0.996781 | + | 0.0801666i | \(0.974455\pi\) | |||||||
\(678\) | 15.9058 | + | 13.4136i | 0.610859 | + | 0.515145i | ||||
\(679\) | −28.1027 | − | 16.2251i | −1.07848 | − | 0.622662i | ||||
\(680\) | 11.1418 | + | 15.0653i | 0.427267 | + | 0.577727i | ||||
\(681\) | −0.703562 | + | 17.4932i | −0.0269605 | + | 0.670340i | ||||
\(682\) | −5.80013 | − | 14.2399i | −0.222099 | − | 0.545275i | ||||
\(683\) | 20.5229i | 0.785288i | 0.919691 | + | 0.392644i | \(0.128440\pi\) | ||||
−0.919691 | + | 0.392644i | \(0.871560\pi\) | |||||||
\(684\) | 17.6122 | + | 6.50891i | 0.673419 | + | 0.248875i | ||||
\(685\) | − | 21.9502i | − | 0.838676i | ||||||
\(686\) | −25.8532 | + | 10.5304i | −0.987081 | + | 0.402053i | ||||
\(687\) | 17.5852 | − | 9.23119i | 0.670917 | − | 0.352192i | ||||
\(688\) | −3.17656 | + | 1.73530i | −0.121105 | + | 0.0661579i | ||||
\(689\) | −37.8010 | − | 21.8244i | −1.44010 | − | 0.831444i | ||||
\(690\) | 4.05408 | + | 11.2246i | 0.154336 | + | 0.427313i | ||||
\(691\) | −5.97960 | − | 10.3570i | −0.227475 | − | 0.393998i | 0.729584 | − | 0.683891i | \(-0.239714\pi\) |
−0.957059 | + | 0.289893i | \(0.906380\pi\) | |||||||
\(692\) | 17.8209 | + | 5.00132i | 0.677449 | + | 0.190122i | ||||
\(693\) | 11.4028 | + | 0.918709i | 0.433156 | + | 0.0348989i | ||||
\(694\) | −5.10412 | + | 37.0770i | −0.193750 | + | 1.40742i | ||||
\(695\) | −1.10837 | − | 1.91975i | −0.0420429 | − | 0.0728204i | ||||
\(696\) | −22.5166 | − | 10.8936i | −0.853488 | − | 0.412920i | ||||
\(697\) | 11.3675 | − | 19.6891i | 0.430576 | − | 0.745779i | ||||
\(698\) | −19.1335 | − | 14.8619i | −0.724214 | − | 0.562532i | ||||
\(699\) | 9.87985 | + | 6.24654i | 0.373690 | + | 0.236266i | ||||
\(700\) | −8.37776 | + | 2.13913i | −0.316650 | + | 0.0808516i | ||||
\(701\) | 41.9171 | 1.58319 | 0.791593 | − | 0.611049i | \(-0.209252\pi\) | ||||
0.791593 | + | 0.611049i | \(0.209252\pi\) | |||||||
\(702\) | −11.5668 | + | 43.9410i | −0.436561 | + | 1.65845i | ||||
\(703\) | 16.4084i | 0.618853i | ||||||||
\(704\) | −12.0984 | − | 3.70563i | −0.455977 | − | 0.139661i | ||||
\(705\) | 16.2104 | − | 25.6392i | 0.610520 | − | 0.965630i | ||||
\(706\) | 34.5799 | + | 26.8599i | 1.30143 | + | 1.01088i | ||||
\(707\) | −13.6988 | − | 7.90899i | −0.515195 | − | 0.297448i | ||||
\(708\) | 7.53320 | − | 23.2130i | 0.283115 | − | 0.872396i | ||||
\(709\) | 4.41486 | − | 2.54892i | 0.165803 | − | 0.0957266i | −0.414802 | − | 0.909912i | \(-0.636149\pi\) |
0.580606 | + | 0.814185i | \(0.302816\pi\) | |||||||
\(710\) | 8.31700 | + | 1.14494i | 0.312131 | + | 0.0429688i | ||||
\(711\) | 22.3112 | + | 15.3951i | 0.836734 | + | 0.577360i | ||||
\(712\) | −1.31359 | + | 3.01894i | −0.0492289 | + | 0.113140i | ||||
\(713\) | 16.1968 | − | 9.35122i | 0.606575 | − | 0.350206i | ||||
\(714\) | 7.42149 | + | 20.5480i | 0.277742 | + | 0.768989i | ||||
\(715\) | −8.75666 | + | 15.1670i | −0.327480 | + | 0.567213i | ||||
\(716\) | −2.18738 | − | 2.23965i | −0.0817463 | − | 0.0836996i | ||||
\(717\) | −0.109147 | − | 0.207923i | −0.00407619 | − | 0.00776503i | ||||
\(718\) | 3.43441 | + | 8.43183i | 0.128171 | + | 0.314673i | ||||
\(719\) | 35.1676 | 1.31153 | 0.655765 | − | 0.754965i | \(-0.272346\pi\) | ||||
0.655765 | + | 0.754965i | \(0.272346\pi\) | |||||||
\(720\) | 2.23099 | − | 21.3729i | 0.0831441 | − | 0.796522i | ||||
\(721\) | 14.2582 | 0.531003 | ||||||||
\(722\) | −4.91159 | − | 12.0585i | −0.182790 | − | 0.448770i | ||||
\(723\) | −33.6350 | − | 1.35277i | −1.25090 | − | 0.0503101i | ||||
\(724\) | −5.14670 | − | 5.26968i | −0.191275 | − | 0.195846i | ||||
\(725\) | −4.57787 | + | 7.92911i | −0.170018 | + | 0.294480i | ||||
\(726\) | −13.4200 | + | 15.9134i | −0.498064 | + | 0.590604i | ||||
\(727\) | −19.9209 | + | 11.5013i | −0.738826 | + | 0.426561i | −0.821642 | − | 0.570003i | \(-0.806942\pi\) |
0.0828164 | + | 0.996565i | \(0.473609\pi\) | |||||||
\(728\) | 38.6634 | + | 16.8231i | 1.43296 | + | 0.623506i | ||||
\(729\) | 26.2185 | + | 6.44905i | 0.971056 | + | 0.238854i | ||||
\(730\) | −1.58316 | − | 0.217941i | −0.0585952 | − | 0.00806637i | ||||
\(731\) | 2.89915 | − | 1.67383i | 0.107229 | − | 0.0619087i | ||||
\(732\) | 8.16955 | + | 9.06670i | 0.301955 | + | 0.335115i | ||||
\(733\) | −7.38177 | − | 4.26187i | −0.272652 | − | 0.157416i | 0.357440 | − | 0.933936i | \(-0.383650\pi\) |
−0.630092 | + | 0.776520i | \(0.716983\pi\) | |||||||
\(734\) | 30.7872 | + | 23.9139i | 1.13638 | + | 0.882679i | ||||
\(735\) | −3.68003 | − | 0.148008i | −0.135740 | − | 0.00545935i | ||||
\(736\) | 2.45833 | − | 15.1931i | 0.0906152 | − | 0.560027i | ||||
\(737\) | 3.28305i | 0.120933i | ||||||||
\(738\) | −24.8590 | + | 7.86449i | −0.915073 | + | 0.289496i | ||||
\(739\) | 32.3956 | 1.19169 | 0.595846 | − | 0.803099i | \(-0.296817\pi\) | ||||
0.595846 | + | 0.803099i | \(0.296817\pi\) | |||||||
\(740\) | 18.1951 | − | 4.64584i | 0.668865 | − | 0.170784i | ||||
\(741\) | −29.6752 | + | 15.5777i | −1.09015 | + | 0.572263i | ||||
\(742\) | 19.0081 | + | 14.7645i | 0.697808 | + | 0.542021i | ||||
\(743\) | −2.22350 | + | 3.85122i | −0.0815725 | + | 0.141288i | −0.903926 | − | 0.427690i | \(-0.859328\pi\) |
0.822353 | + | 0.568978i | \(0.192661\pi\) | |||||||
\(744\) | −33.5862 | + | 2.45593i | −1.23133 | + | 0.0900386i | ||||
\(745\) | 5.31821 | + | 9.21141i | 0.194844 | + | 0.337480i | ||||
\(746\) | 5.17887 | − | 37.6200i | 0.189612 | − | 1.37737i | ||||
\(747\) | −38.6458 | − | 26.6662i | −1.41398 | − | 0.975666i | ||||
\(748\) | 11.2671 | + | 3.16205i | 0.411967 | + | 0.115616i | ||||
\(749\) | −1.22339 | − | 2.11897i | −0.0447016 | − | 0.0774255i | ||||
\(750\) | −29.3324 | − | 5.24674i | −1.07107 | − | 0.191584i | ||||
\(751\) | −32.3801 | − | 18.6946i | −1.18157 | − | 0.682177i | −0.225189 | − | 0.974315i | \(-0.572300\pi\) |
−0.956376 | + | 0.292138i | \(0.905633\pi\) | |||||||
\(752\) | −34.3308 | + | 18.7544i | −1.25191 | + | 0.683902i | ||||
\(753\) | −27.4990 | − | 17.3863i | −1.00212 | − | 0.633591i | ||||
\(754\) | 41.3495 | − | 16.8423i | 1.50586 | − | 0.613359i | ||||
\(755\) | − | 24.7437i | − | 0.900517i | ||||||
\(756\) | 9.62286 | − | 23.1335i | 0.349980 | − | 0.841357i | ||||
\(757\) | 46.7837i | 1.70038i | 0.526474 | + | 0.850191i | \(0.323514\pi\) | ||||
−0.526474 | + | 0.850191i | \(0.676486\pi\) | |||||||
\(758\) | 2.47514 | + | 6.07673i | 0.0899011 | + | 0.220717i | ||||
\(759\) | 6.29988 | + | 3.98310i | 0.228671 | + | 0.144577i | ||||
\(760\) | 12.7440 | − | 9.42499i | 0.462272 | − | 0.341880i | ||||
\(761\) | 5.83226 | + | 3.36726i | 0.211419 | + | 0.122063i | 0.601971 | − | 0.798518i | \(-0.294382\pi\) |
−0.390552 | + | 0.920581i | \(0.627716\pi\) | |||||||
\(762\) | 6.86189 | − | 38.3620i | 0.248580 | − | 1.38971i | ||||
\(763\) | 5.38016 | + | 9.31870i | 0.194775 | + | 0.337360i | ||||
\(764\) | −45.7053 | − | 12.8269i | −1.65356 | − | 0.464061i | ||||
\(765\) | −1.59608 | + | 19.8101i | −0.0577063 | + | 0.716237i | ||||
\(766\) | 49.7442 | + | 6.84792i | 1.79733 | + | 0.247425i | ||||
\(767\) | 21.7809 | + | 37.7255i | 0.786461 | + | 1.36219i | ||||
\(768\) | −15.8989 | + | 22.6985i | −0.573704 | + | 0.819063i | ||||
\(769\) | −8.91160 | + | 15.4353i | −0.321361 | + | 0.556613i | −0.980769 | − | 0.195172i | \(-0.937473\pi\) |
0.659408 | + | 0.751785i | \(0.270807\pi\) | |||||||
\(770\) | 5.92399 | − | 7.62665i | 0.213486 | − | 0.274845i | ||||
\(771\) | 33.1036 | − | 17.3774i | 1.19220 | − | 0.625833i | ||||
\(772\) | 12.6679 | + | 49.6131i | 0.455929 | + | 1.78561i | ||||
\(773\) | −18.9682 | −0.682237 | −0.341119 | − | 0.940020i | \(-0.610806\pi\) | ||||
−0.341119 | + | 0.940020i | \(0.610806\pi\) | |||||||
\(774\) | −3.74901 | − | 0.827326i | −0.134755 | − | 0.0297376i | ||||
\(775\) | 12.3266i | 0.442783i | ||||||||
\(776\) | 4.29992 | + | 37.8259i | 0.154358 | + | 1.35787i | ||||
\(777\) | 21.8775 | + | 0.879894i | 0.784850 | + | 0.0315660i | ||||
\(778\) | −5.55078 | + | 7.14617i | −0.199005 | + | 0.256203i | ||||
\(779\) | −16.6554 | − | 9.61597i | −0.596740 | − | 0.344528i | ||||
\(780\) | 25.6762 | + | 28.4959i | 0.919356 | + | 1.02032i | ||||
\(781\) | 4.54081 | − | 2.62164i | 0.162483 | − | 0.0938096i | ||||
\(782\) | −1.94122 | + | 14.1013i | −0.0694178 | + | 0.504260i | ||||
\(783\) | −10.4049 | − | 24.4052i | −0.371842 | − | 0.872169i | ||||
\(784\) | 4.05614 | + | 2.47130i | 0.144862 | + | 0.0882607i | ||||
\(785\) | −8.93578 | + | 5.15907i | −0.318932 | + | 0.184135i | ||||
\(786\) | 3.00047 | + | 2.53034i | 0.107023 | + | 0.0902541i | ||||
\(787\) | −1.03810 | + | 1.79804i | −0.0370041 | + | 0.0640931i | −0.883934 | − | 0.467611i | \(-0.845115\pi\) |
0.846930 | + | 0.531704i | \(0.178448\pi\) | |||||||
\(788\) | 8.25085 | − | 8.05830i | 0.293924 | − | 0.287065i | ||||
\(789\) | −29.6632 | − | 1.19303i | −1.05604 | − | 0.0424730i | ||||
\(790\) | 21.1925 | − | 8.63200i | 0.753994 | − | 0.307113i | ||||
\(791\) | 20.4792 | 0.728155 | ||||||||
\(792\) | −7.08787 | − | 11.3964i | −0.251857 | − | 0.404955i | ||||
\(793\) | −21.7844 | −0.773588 | ||||||||
\(794\) | −3.95401 | + | 1.61053i | −0.140323 | + | 0.0571554i | ||||
\(795\) | 10.1767 | + | 19.3864i | 0.360931 | + | 0.687564i | ||||
\(796\) | −1.73508 | − | 1.77654i | −0.0614982 | − | 0.0629678i | ||||
\(797\) | 17.7593 | − | 30.7601i | 0.629068 | − | 1.08958i | −0.358671 | − | 0.933464i | \(-0.616770\pi\) |
0.987739 | − | 0.156113i | \(-0.0498965\pi\) | |||||||
\(798\) | 17.3819 | − | 6.27796i | 0.615312 | − | 0.222237i | ||||
\(799\) | 31.3327 | − | 18.0900i | 1.10847 | − | 0.639977i | ||||
\(800\) | 7.86192 | + | 6.40999i | 0.277961 | + | 0.226628i | ||||
\(801\) | −3.15466 | + | 1.49752i | −0.111464 | + | 0.0529122i | ||||
\(802\) | −5.59407 | + | 40.6361i | −0.197533 | + | 1.43491i | ||||
\(803\) | −0.864352 | + | 0.499034i | −0.0305023 | + | 0.0176105i | ||||
\(804\) | 6.83934 | + | 2.21954i | 0.241205 | + | 0.0782772i | ||||
\(805\) | 10.1727 | + | 5.87320i | 0.358540 | + | 0.207003i | ||||
\(806\) | 36.8738 | − | 47.4720i | 1.29883 | − | 1.67213i | ||||
\(807\) | 18.6297 | − | 29.4657i | 0.655798 | − | 1.03724i | ||||
\(808\) | 2.09601 | + | 18.4384i | 0.0737375 | + | 0.648661i | ||||
\(809\) | 41.7225i | 1.46688i | 0.679752 | + | 0.733442i | \(0.262087\pi\) | ||||
−0.679752 | + | 0.733442i | \(0.737913\pi\) | |||||||
\(810\) | 16.6832 | − | 15.5297i | 0.586189 | − | 0.545659i | ||||
\(811\) | −3.03064 | −0.106420 | −0.0532102 | − | 0.998583i | \(-0.516945\pi\) | ||||
−0.0532102 | + | 0.998583i | \(0.516945\pi\) | |||||||
\(812\) | −23.8542 | + | 6.09081i | −0.837119 | + | 0.213746i | ||||
\(813\) | −9.08162 | − | 5.74186i | −0.318506 | − | 0.201376i | ||||
\(814\) | 7.19443 | − | 9.26224i | 0.252165 | − | 0.324641i | ||||
\(815\) | −10.1078 | + | 17.5071i | −0.354059 | + | 0.613248i | ||||
\(816\) | 14.2045 | − | 21.3342i | 0.497258 | − | 0.746848i | ||||
\(817\) | −1.41592 | − | 2.45244i | −0.0495366 | − | 0.0858000i | ||||
\(818\) | −1.85540 | − | 0.255419i | −0.0648725 | − | 0.00893052i | ||||
\(819\) | 19.1787 | + | 40.4016i | 0.670157 | + | 1.41175i | ||||
\(820\) | −5.94730 | + | 21.1916i | −0.207689 | + | 0.740044i | ||||
\(821\) | −25.9259 | − | 44.9049i | −0.904819 | − | 1.56719i | −0.821160 | − | 0.570698i | \(-0.806673\pi\) |
−0.0836589 | − | 0.996494i | \(-0.526661\pi\) | |||||||
\(822\) | −28.2393 | + | 10.1994i | −0.984957 | + | 0.355745i | ||||
\(823\) | 28.3812 | + | 16.3859i | 0.989307 | + | 0.571177i | 0.905067 | − | 0.425269i | \(-0.139820\pi\) |
0.0842401 | + | 0.996445i | \(0.473154\pi\) | |||||||
\(824\) | −9.94633 | − | 13.4489i | −0.346497 | − | 0.468514i | ||||
\(825\) | −4.34959 | + | 2.28328i | −0.151433 | + | 0.0794937i | ||||
\(826\) | −9.06110 | − | 22.2460i | −0.315276 | − | 0.774036i | ||||
\(827\) | − | 52.8295i | − | 1.83706i | −0.395350 | − | 0.918531i | \(-0.629377\pi\) | ||
0.395350 | − | 0.918531i | \(-0.370623\pi\) | |||||||
\(828\) | 12.5568 | − | 10.4312i | 0.436379 | − | 0.362511i | ||||
\(829\) | 0.0144624i | 0.000502300i | 1.00000 | 0.000251150i | \(7.99435e-5\pi\) | |||||
−1.00000 | 0.000251150i | \(0.999920\pi\) | ||||||||
\(830\) | −36.7081 | + | 14.9517i | −1.27416 | + | 0.518982i | ||||
\(831\) | 0.852444 | − | 21.1950i | 0.0295710 | − | 0.735245i | ||||
\(832\) | −11.1029 | − | 48.2044i | −0.384923 | − | 1.67119i | ||||
\(833\) | −3.80427 | − | 2.19639i | −0.131810 | − | 0.0761006i | ||||
\(834\) | −1.95477 | + | 2.31796i | −0.0676881 | + | 0.0802645i | ||||
\(835\) | 0.677708 | + | 1.17382i | 0.0234531 | + | 0.0406219i | ||||
\(836\) | 2.67483 | − | 9.53104i | 0.0925108 | − | 0.329638i | ||||
\(837\) | −28.5602 | − | 21.4509i | −0.987184 | − | 0.741453i | ||||
\(838\) | 6.07919 | − | 44.1600i | 0.210002 | − | 1.52548i | ||||
\(839\) | 16.6802 | + | 28.8909i | 0.575864 | + | 0.997425i | 0.995947 | + | 0.0899399i | \(0.0286675\pi\) |
−0.420083 | + | 0.907486i | \(0.637999\pi\) | |||||||
\(840\) | −11.8831 | − | 17.4971i | −0.410004 | − | 0.603707i | ||||
\(841\) | 1.46530 | − | 2.53797i | 0.0505275 | − | 0.0875162i | ||||
\(842\) | −39.9599 | − | 31.0388i | −1.37711 | − | 1.06967i | ||||
\(843\) | −1.21865 | + | 30.3002i | −0.0419725 | + | 1.04359i | ||||
\(844\) | 1.60505 | + | 6.28608i | 0.0552483 | + | 0.216376i | ||||
\(845\) | −45.1869 | −1.55448 | ||||||||
\(846\) | −40.5175 | − | 8.94137i | −1.39302 | − | 0.307411i | ||||
\(847\) | 20.4890i | 0.704010i | ||||||||
\(848\) | 0.666663 | − | 28.2286i | 0.0228933 | − | 0.969376i | ||||
\(849\) | 6.11348 | + | 11.6460i | 0.209814 | + | 0.399690i | ||||
\(850\) | −7.40911 | − | 5.75501i | −0.254130 | − | 0.197395i | ||||
\(851\) | 12.3543 | + | 7.13276i | 0.423500 | + | 0.244508i | ||||
\(852\) | −2.39160 | − | 11.2319i | −0.0819349 | − | 0.384799i | ||||
\(853\) | 32.7219 | − | 18.8920i | 1.12038 | − | 0.646850i | 0.178880 | − | 0.983871i | \(-0.442753\pi\) |
0.941497 | + | 0.337021i | \(0.109419\pi\) | |||||||
\(854\) | 11.9000 | + | 1.63819i | 0.407210 | + | 0.0560576i | ||||
\(855\) | 16.7577 | + | 1.35015i | 0.573101 | + | 0.0461741i | ||||
\(856\) | −1.14528 | + | 2.63211i | −0.0391447 | + | 0.0899637i | ||||
\(857\) | 9.00665 | − | 5.19999i | 0.307661 | − | 0.177628i | −0.338218 | − | 0.941068i | \(-0.609824\pi\) |
0.645879 | + | 0.763439i | \(0.276491\pi\) | |||||||
\(858\) | 23.5814 | + | 4.21805i | 0.805055 | + | 0.144002i | ||||
\(859\) | −10.3547 | + | 17.9348i | −0.353297 | + | 0.611929i | −0.986825 | − | 0.161791i | \(-0.948273\pi\) |
0.633528 | + | 0.773720i | \(0.281606\pi\) | |||||||
\(860\) | −2.31859 | + | 2.26448i | −0.0790632 | + | 0.0772180i | ||||
\(861\) | −13.7142 | + | 21.6911i | −0.467380 | + | 0.739232i | ||||
\(862\) | −9.12930 | − | 22.4134i | −0.310945 | − | 0.763404i | ||||
\(863\) | 4.67705 | 0.159209 | 0.0796043 | − | 0.996827i | \(-0.474634\pi\) | ||||
0.0796043 | + | 0.996827i | \(0.474634\pi\) | |||||||
\(864\) | −28.5332 | + | 7.06096i | −0.970719 | + | 0.240219i | ||||
\(865\) | 16.5729 | 0.563495 | ||||||||
\(866\) | −10.1946 | − | 25.0289i | −0.346428 | − | 0.850517i | ||||
\(867\) | 3.06764 | − | 4.85194i | 0.104183 | − | 0.164780i | ||||
\(868\) | −23.7127 | + | 23.1593i | −0.804861 | + | 0.786077i | ||||
\(869\) | 7.14567 | − | 12.3767i | 0.242400 | − | 0.419849i | ||||
\(870\) | −22.0464 | − | 3.94349i | −0.747444 | − | 0.133697i | ||||
\(871\) | −11.1152 | + | 6.41739i | −0.376626 | + | 0.217445i | ||||
\(872\) | 5.03664 | − | 11.5754i | 0.170562 | − | 0.391992i | ||||
\(873\) | −22.9325 | + | 33.2348i | −0.776149 | + | 1.12483i | ||||
\(874\) | 11.9285 | + | 1.64211i | 0.403487 | + | 0.0555450i | ||||
\(875\) | −25.3995 | + | 14.6644i | −0.858660 | + | 0.495748i | ||||
\(876\) | 0.455246 | + | 2.13802i | 0.0153813 | + | 0.0722369i | ||||
\(877\) | −9.04467 | − | 5.22194i | −0.305417 | − | 0.176333i | 0.339457 | − | 0.940622i | \(-0.389757\pi\) |
−0.644874 | + | 0.764289i | \(0.723090\pi\) | |||||||
\(878\) | 38.0300 | + | 29.5397i | 1.28345 | + | 0.996918i | ||||
\(879\) | 20.3136 | + | 38.6969i | 0.685162 | + | 1.30522i | ||||
\(880\) | −11.3262 | − | 0.267487i | −0.381807 | − | 0.00901697i | ||||
\(881\) | − | 29.7734i | − | 1.00309i | −0.865131 | − | 0.501546i | \(-0.832765\pi\) | ||
0.865131 | − | 0.501546i | \(-0.167235\pi\) | |||||||
\(882\) | 1.51955 | + | 4.80317i | 0.0511659 | + | 0.161731i | ||||
\(883\) | −52.9294 | −1.78122 | −0.890608 | − | 0.454772i | \(-0.849721\pi\) | ||||
−0.890608 | + | 0.454772i | \(0.849721\pi\) | |||||||
\(884\) | 11.3183 | + | 44.3274i | 0.380676 | + | 1.49089i | ||||
\(885\) | 0.878137 | − | 21.8338i | 0.0295183 | − | 0.733935i | ||||
\(886\) | 22.1286 | + | 17.1883i | 0.743424 | + | 0.577453i | ||||
\(887\) | 22.4416 | − | 38.8700i | 0.753515 | − | 1.30513i | −0.192594 | − | 0.981278i | \(-0.561690\pi\) |
0.946109 | − | 0.323848i | \(-0.104977\pi\) | |||||||
\(888\) | −14.4315 | − | 21.2495i | −0.484288 | − | 0.713085i | ||||
\(889\) | −19.1787 | − | 33.2184i | −0.643232 | − | 1.11411i | ||||
\(890\) | −0.402022 | + | 2.92035i | −0.0134758 | + | 0.0978902i | ||||
\(891\) | 2.27898 | − | 14.0512i | 0.0763486 | − | 0.470734i | ||||
\(892\) | 7.56434 | − | 26.9535i | 0.253273 | − | 0.902471i | ||||
\(893\) | −15.3026 | − | 26.5048i | −0.512081 | − | 0.886951i | ||||
\(894\) | 9.37943 | − | 11.1221i | 0.313695 | − | 0.371979i | ||||
\(895\) | −2.42753 | − | 1.40153i | −0.0811434 | − | 0.0468481i | ||||
\(896\) | 2.44012 | + | 27.1672i | 0.0815188 | + | 0.907592i | ||||
\(897\) | −1.17098 | + | 29.1149i | −0.0390979 | + | 0.972119i | ||||
\(898\) | 11.4460 | − | 4.66211i | 0.381957 | − | 0.155577i | ||||
\(899\) | 35.0978i | 1.17058i | ||||||||
\(900\) | 1.81600 | + | 10.6048i | 0.0605335 | + | 0.353494i | ||||
\(901\) | 26.1148i | 0.870009i | ||||||||
\(902\) | 5.18543 | + | 12.7308i | 0.172656 | + | 0.423889i | ||||
\(903\) | −3.34579 | + | 1.75635i | −0.111341 | + | 0.0584475i | ||||
\(904\) | −14.2860 | − | 19.3167i | −0.475145 | − | 0.642465i | ||||
\(905\) | −5.71174 | − | 3.29768i | −0.189865 | − | 0.109618i | ||||
\(906\) | −31.8331 | + | 11.4974i | −1.05758 | + | 0.381977i | ||||
\(907\) | −8.19627 | − | 14.1964i | −0.272153 | − | 0.471382i | 0.697260 | − | 0.716818i | \(-0.254402\pi\) |
−0.969413 | + | 0.245436i | \(0.921069\pi\) | |||||||
\(908\) | 5.46238 | − | 19.4637i | 0.181275 | − | 0.645927i | ||||
\(909\) | −11.1786 | + | 16.2004i | −0.370769 | + | 0.537335i | ||||
\(910\) | 37.4008 | + | 5.14869i | 1.23982 | + | 0.170677i | ||||
\(911\) | −13.4518 | − | 23.2991i | −0.445677 | − | 0.771935i | 0.552422 | − | 0.833564i | \(-0.313704\pi\) |
−0.998099 | + | 0.0616295i | \(0.980370\pi\) | |||||||
\(912\) | −18.0470 | − | 12.0158i | −0.597595 | − | 0.397884i | ||||
\(913\) | −12.3772 | + | 21.4380i | −0.409626 | + | 0.709493i | ||||
\(914\) | 2.17022 | − | 2.79398i | 0.0717846 | − | 0.0924168i | ||||
\(915\) | 9.23629 | + | 5.83965i | 0.305342 | + | 0.193053i | ||||
\(916\) | −22.2204 | + | 5.67365i | −0.734184 | + | 0.187463i | ||||
\(917\) | 3.86319 | 0.127574 | ||||||||
\(918\) | 26.2276 | − | 7.15162i | 0.865640 | − | 0.236038i | ||||
\(919\) | 22.2518i | 0.734020i | 0.930217 | + | 0.367010i | \(0.119619\pi\) | ||||
−0.930217 | + | 0.367010i | \(0.880381\pi\) | |||||||
\(920\) | −1.55650 | − | 13.6923i | −0.0513162 | − | 0.451423i | ||||
\(921\) | −27.3976 | + | 43.3335i | −0.902782 | + | 1.42789i | ||||
\(922\) | 4.57046 | − | 5.88409i | 0.150520 | − | 0.193782i | ||||
\(923\) | 17.7519 | + | 10.2491i | 0.584310 | + | 0.337352i | ||||
\(924\) | −12.5644 | − | 4.07748i | −0.413339 | − | 0.134139i | ||||
\(925\) | −8.14257 | + | 4.70112i | −0.267726 | + | 0.154572i | ||||
\(926\) | −3.39012 | + | 24.6263i | −0.111406 | + | 0.809271i | ||||
\(927\) | 1.42483 | − | 17.6847i | 0.0467976 | − | 0.580841i | ||||
\(928\) | 22.3855 | + | 18.2513i | 0.734839 | + | 0.599130i | ||||
\(929\) | −8.55489 | + | 4.93917i | −0.280677 | + | 0.162049i | −0.633730 | − | 0.773555i | \(-0.718477\pi\) |
0.353053 | + | 0.935603i | \(0.385144\pi\) | |||||||
\(930\) | −28.3596 | + | 10.2429i | −0.929947 | + | 0.335877i | ||||
\(931\) | −1.85796 | + | 3.21809i | −0.0608923 | + | 0.105469i | ||||
\(932\) | −9.43062 | − | 9.65597i | −0.308910 | − | 0.316292i | ||||
\(933\) | 16.6817 | + | 31.7782i | 0.546134 | + | 1.04037i | ||||
\(934\) | 3.01032 | − | 1.22615i | 0.0985006 | − | 0.0401207i | ||||
\(935\) | 10.4781 | 0.342670 | ||||||||
\(936\) | 24.7296 | − | 46.2737i | 0.808312 | − | 1.51250i | ||||
\(937\) | −2.11802 | −0.0691926 | −0.0345963 | − | 0.999401i | \(-0.511015\pi\) | ||||
−0.0345963 | + | 0.999401i | \(0.511015\pi\) | |||||||
\(938\) | 6.55442 | − | 2.66971i | 0.214010 | − | 0.0871692i | ||||
\(939\) | 6.01161 | + | 0.241782i | 0.196181 | + | 0.00789026i | ||||
\(940\) | −25.0582 | + | 24.4734i | −0.817310 | + | 0.798236i | ||||
\(941\) | 3.56180 | − | 6.16922i | 0.116111 | − | 0.201111i | −0.802112 | − | 0.597173i | \(-0.796290\pi\) |
0.918223 | + | 0.396063i | \(0.129624\pi\) | |||||||
\(942\) | 10.7893 | + | 9.09877i | 0.351535 | + | 0.296454i | ||||
\(943\) | −14.4803 | + | 8.36018i | −0.471542 | + | 0.272245i | ||||
\(944\) | −14.6623 | + | 24.0653i | −0.477219 | + | 0.783257i | ||||
\(945\) | 2.69879 | − | 22.2708i | 0.0877918 | − | 0.724471i | ||||
\(946\) | −0.276039 | + | 2.00518i | −0.00897480 | + | 0.0651942i | ||||
\(947\) | 44.5581 | − | 25.7256i | 1.44794 | − | 0.835970i | 0.449584 | − | 0.893238i | \(-0.351572\pi\) |
0.998359 | + | 0.0572679i | \(0.0182389\pi\) | |||||||
\(948\) | −20.9525 | − | 23.2534i | −0.680505 | − | 0.755236i | ||||
\(949\) | −3.37910 | − | 1.95093i | −0.109690 | − | 0.0633297i | ||||
\(950\) | −4.86826 | + | 6.26748i | −0.157947 | + | 0.203344i | ||||
\(951\) | 26.4577 | + | 1.06411i | 0.857949 | + | 0.0345060i | ||||
\(952\) | −2.84936 | − | 25.0655i | −0.0923482 | − | 0.812378i | ||||
\(953\) | − | 45.3652i | − | 1.46952i | −0.678326 | − | 0.734761i | \(-0.737294\pi\) | ||
0.678326 | − | 0.734761i | \(-0.262706\pi\) | |||||||
\(954\) | 20.2121 | − | 22.1006i | 0.654391 | − | 0.715532i | ||||
\(955\) | −42.5046 | −1.37542 | ||||||||
\(956\) | 0.0670839 | + | 0.262729i | 0.00216965 | + | 0.00849727i | ||||
\(957\) | −12.3847 | + | 6.50125i | −0.400341 | + | 0.210156i | ||||
\(958\) | 31.2690 | − | 40.2562i | 1.01025 | − | 1.30062i | ||||
\(959\) | −14.7760 | + | 25.5928i | −0.477143 | + | 0.826436i | ||||
\(960\) | −8.21446 | + | 23.4143i | −0.265121 | + | 0.755693i | ||||
\(961\) | 8.12641 | + | 14.0754i | 0.262142 | + | 0.454044i | ||||
\(962\) | 45.4216 | + | 6.25286i | 1.46445 | + | 0.201600i | ||||
\(963\) | −2.75044 | + | 1.30564i | −0.0886318 | + | 0.0420735i | ||||
\(964\) | 37.4239 | + | 10.5028i | 1.20534 | + | 0.338271i | ||||
\(965\) | 22.9238 | + | 39.7052i | 0.737944 | + | 1.27816i | ||||
\(966\) | 2.82910 | − | 15.8163i | 0.0910248 | − | 0.508882i | ||||
\(967\) | −2.55341 | − | 1.47421i | −0.0821121 | − | 0.0474075i | 0.458382 | − | 0.888755i | \(-0.348429\pi\) |
−0.540494 | + | 0.841348i | \(0.681763\pi\) | |||||||
\(968\) | 19.3260 | − | 14.2928i | 0.621161 | − | 0.459389i | ||||
\(969\) | 16.9486 | + | 10.7158i | 0.544468 | + | 0.344240i | ||||
\(970\) | 12.8583 | + | 31.5684i | 0.412854 | + | 1.01360i | ||||
\(971\) | − | 21.8052i | − | 0.699763i | −0.936794 | − | 0.349882i | \(-0.886222\pi\) | ||
0.936794 | − | 0.349882i | \(-0.113778\pi\) | |||||||
\(972\) | −27.7312 | − | 14.2471i | −0.889479 | − | 0.456977i | ||||
\(973\) | 2.98444i | 0.0956768i | ||||||||
\(974\) | −3.56631 | + | 1.45261i | −0.114272 | + | 0.0465446i | ||||
\(975\) | −16.2325 | − | 10.2630i | −0.519858 | − | 0.328680i | ||||
\(976\) | −6.75609 | − | 12.3673i | −0.216257 | − | 0.395869i | ||||
\(977\) | 26.7110 | + | 15.4216i | 0.854560 | + | 0.493381i | 0.862187 | − | 0.506590i | \(-0.169094\pi\) |
−0.00762657 | + | 0.999971i | \(0.502428\pi\) | |||||||
\(978\) | 27.2198 | + | 4.86887i | 0.870394 | + | 0.155689i | ||||
\(979\) | 0.920536 | + | 1.59441i | 0.0294204 | + | 0.0509577i | ||||
\(980\) | 4.09457 | + | 1.14912i | 0.130796 | + | 0.0367072i | ||||
\(981\) | 12.0958 | − | 5.74186i | 0.386188 | − | 0.183324i | ||||
\(982\) | −2.93332 | + | 21.3080i | −0.0936059 | + | 0.679966i | ||||
\(983\) | −6.49316 | − | 11.2465i | −0.207100 | − | 0.358707i | 0.743700 | − | 0.668513i | \(-0.233069\pi\) |
−0.950800 | + | 0.309806i | \(0.899736\pi\) | |||||||
\(984\) | 30.0268 | − | 2.19565i | 0.957218 | − | 0.0699946i | ||||
\(985\) | 5.16324 | − | 8.94300i | 0.164515 | − | 0.284948i | ||||
\(986\) | −21.0961 | − | 16.3864i | −0.671838 | − | 0.521849i | ||||
\(987\) | −36.1598 | + | 18.9818i | −1.15098 | + | 0.604197i | ||||
\(988\) | 37.4972 | − | 9.57435i | 1.19295 | − | 0.304601i | ||||
\(989\) | −2.46201 | −0.0782873 | ||||||||
\(990\) | −8.86745 | − | 8.10974i | −0.281826 | − | 0.257744i | ||||
\(991\) | − | 47.5865i | − | 1.51163i | −0.654783 | − | 0.755817i | \(-0.727240\pi\) | ||
0.654783 | − | 0.755817i | \(-0.272760\pi\) | |||||||
\(992\) | 38.3864 | + | 6.21111i | 1.21877 | + | 0.197203i | ||||
\(993\) | 10.7296 | + | 0.431535i | 0.340493 | + | 0.0136943i | ||||
\(994\) | −8.92645 | − | 6.93361i | −0.283130 | − | 0.219921i | ||||
\(995\) | −1.92557 | − | 1.11173i | −0.0610447 | − | 0.0352442i | ||||
\(996\) | 36.2924 | + | 40.2779i | 1.14997 | + | 1.27625i | ||||
\(997\) | −7.41748 | + | 4.28248i | −0.234914 | + | 0.135628i | −0.612837 | − | 0.790209i | \(-0.709972\pi\) |
0.377923 | + | 0.925837i | \(0.376638\pi\) | |||||||
\(998\) | −55.2850 | − | 7.61067i | −1.75001 | − | 0.240912i | ||||
\(999\) | 3.27757 | − | 27.0470i | 0.103698 | − | 0.855729i |
(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 | 72.2.l.b.59.7 | yes | 16 | |
3.2 | odd | 2 | 216.2.l.b.179.2 | 16 | |||
4.3 | odd | 2 | 288.2.p.b.239.1 | 16 | |||
8.3 | odd | 2 | inner | 72.2.l.b.59.3 | yes | 16 | |
8.5 | even | 2 | 288.2.p.b.239.2 | 16 | |||
9.2 | odd | 6 | inner | 72.2.l.b.11.3 | ✓ | 16 | |
9.4 | even | 3 | 648.2.f.b.323.1 | 16 | |||
9.5 | odd | 6 | 648.2.f.b.323.16 | 16 | |||
9.7 | even | 3 | 216.2.l.b.35.6 | 16 | |||
12.11 | even | 2 | 864.2.p.b.719.6 | 16 | |||
24.5 | odd | 2 | 864.2.p.b.719.3 | 16 | |||
24.11 | even | 2 | 216.2.l.b.179.6 | 16 | |||
36.7 | odd | 6 | 864.2.p.b.143.3 | 16 | |||
36.11 | even | 6 | 288.2.p.b.47.2 | 16 | |||
36.23 | even | 6 | 2592.2.f.b.1295.5 | 16 | |||
36.31 | odd | 6 | 2592.2.f.b.1295.11 | 16 | |||
72.5 | odd | 6 | 2592.2.f.b.1295.12 | 16 | |||
72.11 | even | 6 | inner | 72.2.l.b.11.7 | yes | 16 | |
72.13 | even | 6 | 2592.2.f.b.1295.6 | 16 | |||
72.29 | odd | 6 | 288.2.p.b.47.1 | 16 | |||
72.43 | odd | 6 | 216.2.l.b.35.2 | 16 | |||
72.59 | even | 6 | 648.2.f.b.323.2 | 16 | |||
72.61 | even | 6 | 864.2.p.b.143.6 | 16 | |||
72.67 | odd | 6 | 648.2.f.b.323.15 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.l.b.11.3 | ✓ | 16 | 9.2 | odd | 6 | inner | |
72.2.l.b.11.7 | yes | 16 | 72.11 | even | 6 | inner | |
72.2.l.b.59.3 | yes | 16 | 8.3 | odd | 2 | inner | |
72.2.l.b.59.7 | yes | 16 | 1.1 | even | 1 | trivial | |
216.2.l.b.35.2 | 16 | 72.43 | odd | 6 | |||
216.2.l.b.35.6 | 16 | 9.7 | even | 3 | |||
216.2.l.b.179.2 | 16 | 3.2 | odd | 2 | |||
216.2.l.b.179.6 | 16 | 24.11 | even | 2 | |||
288.2.p.b.47.1 | 16 | 72.29 | odd | 6 | |||
288.2.p.b.47.2 | 16 | 36.11 | even | 6 | |||
288.2.p.b.239.1 | 16 | 4.3 | odd | 2 | |||
288.2.p.b.239.2 | 16 | 8.5 | even | 2 | |||
648.2.f.b.323.1 | 16 | 9.4 | even | 3 | |||
648.2.f.b.323.2 | 16 | 72.59 | even | 6 | |||
648.2.f.b.323.15 | 16 | 72.67 | odd | 6 | |||
648.2.f.b.323.16 | 16 | 9.5 | odd | 6 | |||
864.2.p.b.143.3 | 16 | 36.7 | odd | 6 | |||
864.2.p.b.143.6 | 16 | 72.61 | even | 6 | |||
864.2.p.b.719.3 | 16 | 24.5 | odd | 2 | |||
864.2.p.b.719.6 | 16 | 12.11 | even | 2 | |||
2592.2.f.b.1295.5 | 16 | 36.23 | even | 6 | |||
2592.2.f.b.1295.6 | 16 | 72.13 | even | 6 | |||
2592.2.f.b.1295.11 | 16 | 36.31 | odd | 6 | |||
2592.2.f.b.1295.12 | 16 | 72.5 | odd | 6 |