Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,2,Mod(35,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.p (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: | \(1.24566627153\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 35.16 | ||
Character | \(\chi\) | \(=\) | 156.35 |
Dual form | 156.2.p.b.107.16 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06855 | − | 0.926389i | 0.755580 | − | 0.655056i | ||||
\(3\) | −0.316122 | − | 1.70296i | −0.182513 | − | 0.983203i | ||||
\(4\) | 0.283607 | − | 1.97979i | 0.141804 | − | 0.989895i | ||||
\(5\) | 1.45117i | 0.648983i | 0.945889 | + | 0.324492i | \(0.105193\pi\) | ||||
−0.945889 | + | 0.324492i | \(0.894807\pi\) | |||||||
\(6\) | −1.91539 | − | 1.52685i | −0.781956 | − | 0.623333i | ||||
\(7\) | 1.17936 | − | 0.680902i | 0.445755 | − | 0.257357i | −0.260281 | − | 0.965533i | \(-0.583815\pi\) |
0.706036 | + | 0.708176i | \(0.250482\pi\) | |||||||
\(8\) | −1.53101 | − | 2.37824i | −0.541293 | − | 0.840834i | ||||
\(9\) | −2.80013 | + | 1.07668i | −0.933378 | + | 0.358895i | ||||
\(10\) | 1.34435 | + | 1.55065i | 0.425120 | + | 0.490359i | ||||
\(11\) | −0.711538 | + | 1.23242i | −0.214537 | + | 0.371589i | −0.953129 | − | 0.302564i | \(-0.902157\pi\) |
0.738592 | + | 0.674152i | \(0.235491\pi\) | |||||||
\(12\) | −3.46115 | + | 0.142883i | −0.999149 | + | 0.0412468i | ||||
\(13\) | 3.27584 | + | 1.50627i | 0.908555 | + | 0.417765i | ||||
\(14\) | 0.629424 | − | 1.82012i | 0.168221 | − | 0.486448i | ||||
\(15\) | 2.47128 | − | 0.458746i | 0.638083 | − | 0.118448i | ||||
\(16\) | −3.83913 | − | 1.12296i | −0.959784 | − | 0.280741i | ||||
\(17\) | −1.68294 | + | 0.971645i | −0.408173 | + | 0.235659i | −0.690004 | − | 0.723805i | \(-0.742391\pi\) |
0.281832 | + | 0.959464i | \(0.409058\pi\) | |||||||
\(18\) | −1.99466 | + | 3.74451i | −0.470146 | + | 0.882589i | ||||
\(19\) | 2.01114 | − | 1.16113i | 0.461387 | − | 0.266382i | −0.251241 | − | 0.967925i | \(-0.580839\pi\) |
0.712627 | + | 0.701543i | \(0.247505\pi\) | |||||||
\(20\) | 2.87301 | + | 0.411562i | 0.642425 | + | 0.0920281i | ||||
\(21\) | −1.53237 | − | 1.79315i | −0.334390 | − | 0.391297i | ||||
\(22\) | 0.381385 | + | 1.97607i | 0.0813115 | + | 0.421299i | ||||
\(23\) | −1.96157 | + | 3.39753i | −0.409015 | + | 0.708435i | −0.994780 | − | 0.102046i | \(-0.967461\pi\) |
0.585765 | + | 0.810481i | \(0.300794\pi\) | |||||||
\(24\) | −3.56606 | + | 3.35905i | −0.727918 | + | 0.685664i | ||||
\(25\) | 2.89410 | 0.578821 | ||||||||
\(26\) | 4.89580 | − | 1.42517i | 0.960146 | − | 0.279499i | ||||
\(27\) | 2.71873 | + | 4.42815i | 0.523220 | + | 0.852198i | ||||
\(28\) | −1.01357 | − | 2.52799i | −0.191547 | − | 0.477745i | ||||
\(29\) | 7.48463 | + | 4.32125i | 1.38986 | + | 0.802437i | 0.993299 | − | 0.115571i | \(-0.0368699\pi\) |
0.396562 | + | 0.918008i | \(0.370203\pi\) | |||||||
\(30\) | 2.21572 | − | 2.77956i | 0.404533 | − | 0.507477i | ||||
\(31\) | − | 6.55949i | − | 1.17812i | −0.808090 | − | 0.589059i | \(-0.799498\pi\) | ||
0.808090 | − | 0.589059i | \(-0.200502\pi\) | |||||||
\(32\) | −5.14262 | + | 2.35659i | −0.909095 | + | 0.416589i | ||||
\(33\) | 2.32369 | + | 0.822125i | 0.404503 | + | 0.143114i | ||||
\(34\) | −0.898187 | + | 2.59731i | −0.154038 | + | 0.445435i | ||||
\(35\) | 0.988105 | + | 1.71145i | 0.167020 | + | 0.289288i | ||||
\(36\) | 1.33747 | + | 5.84903i | 0.222912 | + | 0.974839i | ||||
\(37\) | −0.577404 | + | 1.00009i | −0.0949247 | + | 0.164414i | −0.909577 | − | 0.415535i | \(-0.863594\pi\) |
0.814652 | + | 0.579949i | \(0.196928\pi\) | |||||||
\(38\) | 1.07335 | − | 3.10382i | 0.174120 | − | 0.503507i | ||||
\(39\) | 1.52956 | − | 6.05479i | 0.244925 | − | 0.969542i | ||||
\(40\) | 3.45123 | − | 2.22175i | 0.545688 | − | 0.351290i | ||||
\(41\) | −3.52691 | − | 2.03626i | −0.550811 | − | 0.318011i | 0.198638 | − | 0.980073i | \(-0.436348\pi\) |
−0.749449 | + | 0.662062i | \(0.769681\pi\) | |||||||
\(42\) | −3.29857 | − | 0.496503i | −0.508980 | − | 0.0766121i | ||||
\(43\) | −10.0505 | + | 5.80268i | −1.53269 | + | 0.884900i | −0.533455 | + | 0.845828i | \(0.679107\pi\) |
−0.999236 | + | 0.0390719i | \(0.987560\pi\) | |||||||
\(44\) | 2.23813 | + | 1.75822i | 0.337411 | + | 0.265061i | ||||
\(45\) | −1.56245 | − | 4.06347i | −0.232917 | − | 0.605747i | ||||
\(46\) | 1.05140 | + | 5.44762i | 0.155021 | + | 0.803207i | ||||
\(47\) | −9.49402 | −1.38485 | −0.692423 | − | 0.721492i | \(-0.743457\pi\) | ||||
−0.692423 | + | 0.721492i | \(0.743457\pi\) | |||||||
\(48\) | −0.698729 | + | 6.89288i | −0.100853 | + | 0.994901i | ||||
\(49\) | −2.57274 | + | 4.45612i | −0.367535 | + | 0.636589i | ||||
\(50\) | 3.09250 | − | 2.68106i | 0.437345 | − | 0.379160i | ||||
\(51\) | 2.18668 | + | 2.55882i | 0.306197 | + | 0.358306i | ||||
\(52\) | 3.91116 | − | 6.05829i | 0.542380 | − | 0.840133i | ||||
\(53\) | − | 9.80735i | − | 1.34714i | −0.739122 | − | 0.673571i | \(-0.764759\pi\) | ||
0.739122 | − | 0.673571i | \(-0.235241\pi\) | |||||||
\(54\) | 7.00729 | + | 2.21311i | 0.953572 | + | 0.301166i | ||||
\(55\) | −1.78845 | − | 1.03256i | −0.241155 | − | 0.139231i | ||||
\(56\) | −3.42495 | − | 1.76233i | −0.457678 | − | 0.235501i | ||||
\(57\) | −2.61312 | − | 3.05783i | −0.346116 | − | 0.405019i | ||||
\(58\) | 12.0009 | − | 2.31619i | 1.57579 | − | 0.304131i | ||||
\(59\) | 2.78545 | + | 4.82453i | 0.362634 | + | 0.628101i | 0.988393 | − | 0.151915i | \(-0.0485442\pi\) |
−0.625759 | + | 0.780016i | \(0.715211\pi\) | |||||||
\(60\) | −0.207348 | − | 5.02273i | −0.0267685 | − | 0.648431i | ||||
\(61\) | −4.92181 | − | 8.52483i | −0.630173 | − | 1.09149i | −0.987516 | − | 0.157519i | \(-0.949650\pi\) |
0.357343 | − | 0.933973i | \(-0.383683\pi\) | |||||||
\(62\) | −6.07663 | − | 7.00915i | −0.771733 | − | 0.890163i | ||||
\(63\) | −2.56924 | + | 3.17641i | −0.323694 | + | 0.400190i | ||||
\(64\) | −3.31204 | + | 7.28220i | −0.414005 | + | 0.910275i | ||||
\(65\) | −2.18586 | + | 4.75381i | −0.271123 | + | 0.589637i | ||||
\(66\) | 3.24459 | − | 1.27416i | 0.399382 | − | 0.156838i | ||||
\(67\) | 10.9574 | + | 6.32625i | 1.33866 | + | 0.772874i | 0.986608 | − | 0.163108i | \(-0.0521518\pi\) |
0.352049 | + | 0.935982i | \(0.385485\pi\) | |||||||
\(68\) | 1.44636 | + | 3.60743i | 0.175397 | + | 0.437465i | ||||
\(69\) | 6.40595 | + | 2.26643i | 0.771186 | + | 0.272847i | ||||
\(70\) | 2.64131 | + | 0.913402i | 0.315697 | + | 0.109172i | ||||
\(71\) | −5.89352 | − | 10.2079i | −0.699432 | − | 1.21145i | −0.968664 | − | 0.248377i | \(-0.920103\pi\) |
0.269231 | − | 0.963076i | \(-0.413230\pi\) | |||||||
\(72\) | 6.84763 | + | 5.01098i | 0.807001 | + | 0.590550i | ||||
\(73\) | −11.7872 | −1.37959 | −0.689796 | − | 0.724003i | \(-0.742300\pi\) | ||||
−0.689796 | + | 0.724003i | \(0.742300\pi\) | |||||||
\(74\) | 0.309489 | + | 1.60355i | 0.0359774 | + | 0.186409i | ||||
\(75\) | −0.914888 | − | 4.92854i | −0.105642 | − | 0.569098i | ||||
\(76\) | −1.72842 | − | 4.31093i | −0.198264 | − | 0.494498i | ||||
\(77\) | 1.93795i | 0.220850i | ||||||||
\(78\) | −3.97468 | − | 7.88682i | −0.450044 | − | 0.893007i | ||||
\(79\) | 7.21649i | 0.811919i | 0.913891 | + | 0.405959i | \(0.133063\pi\) | ||||
−0.913891 | + | 0.405959i | \(0.866937\pi\) | |||||||
\(80\) | 1.62961 | − | 5.57124i | 0.182196 | − | 0.622884i | ||||
\(81\) | 6.68151 | − | 6.02972i | 0.742389 | − | 0.669969i | ||||
\(82\) | −5.65506 | + | 1.09144i | −0.624496 | + | 0.120529i | ||||
\(83\) | 0.869940 | 0.0954884 | 0.0477442 | − | 0.998860i | \(-0.484797\pi\) | ||||
0.0477442 | + | 0.998860i | \(0.484797\pi\) | |||||||
\(84\) | −3.98465 | + | 2.52522i | −0.434761 | + | 0.275524i | ||||
\(85\) | −1.41002 | − | 2.44223i | −0.152939 | − | 0.264897i | ||||
\(86\) | −5.36398 | + | 15.5112i | −0.578413 | + | 1.67261i | ||||
\(87\) | 4.99286 | − | 14.1121i | 0.535291 | − | 1.51297i | ||||
\(88\) | 4.02036 | − | 0.194636i | 0.428572 | − | 0.0207482i | ||||
\(89\) | −4.70693 | − | 2.71755i | −0.498933 | − | 0.288059i | 0.229340 | − | 0.973346i | \(-0.426343\pi\) |
−0.728273 | + | 0.685287i | \(0.759677\pi\) | |||||||
\(90\) | −5.43392 | − | 2.89460i | −0.572785 | − | 0.305117i | ||||
\(91\) | 4.88901 | − | 0.454094i | 0.512508 | − | 0.0476020i | ||||
\(92\) | 6.17009 | + | 4.84705i | 0.643276 | + | 0.505340i | ||||
\(93\) | −11.1705 | + | 2.07359i | −1.15833 | + | 0.215022i | ||||
\(94\) | −10.1449 | + | 8.79516i | −1.04636 | + | 0.907151i | ||||
\(95\) | 1.68500 | + | 2.91850i | 0.172877 | + | 0.299432i | ||||
\(96\) | 5.63886 | + | 8.01269i | 0.575514 | + | 0.817792i | ||||
\(97\) | −5.22755 | − | 9.05439i | −0.530778 | − | 0.919334i | −0.999355 | − | 0.0359113i | \(-0.988567\pi\) |
0.468577 | − | 0.883422i | \(-0.344767\pi\) | |||||||
\(98\) | 1.37899 | + | 7.14496i | 0.139299 | + | 0.721750i | ||||
\(99\) | 0.665476 | − | 4.21704i | 0.0668828 | − | 0.423829i | ||||
\(100\) | 0.820788 | − | 5.72971i | 0.0820788 | − | 0.572971i | ||||
\(101\) | −0.247969 | − | 0.143165i | −0.0246739 | − | 0.0142455i | 0.487612 | − | 0.873060i | \(-0.337868\pi\) |
−0.512286 | + | 0.858815i | \(0.671201\pi\) | |||||||
\(102\) | 4.70705 | + | 0.708509i | 0.466067 | + | 0.0701528i | ||||
\(103\) | − | 3.98009i | − | 0.392170i | −0.980587 | − | 0.196085i | \(-0.937177\pi\) | ||
0.980587 | − | 0.196085i | \(-0.0628228\pi\) | |||||||
\(104\) | −1.43306 | − | 10.0968i | −0.140523 | − | 0.990077i | ||||
\(105\) | 2.60216 | − | 2.22373i | 0.253945 | − | 0.217014i | ||||
\(106\) | −9.08542 | − | 10.4797i | −0.882454 | − | 1.01787i | ||||
\(107\) | −0.0998849 | + | 0.173006i | −0.00965623 | + | 0.0167251i | −0.870813 | − | 0.491614i | \(-0.836407\pi\) |
0.861157 | + | 0.508339i | \(0.169740\pi\) | |||||||
\(108\) | 9.53786 | − | 4.12666i | 0.917781 | − | 0.397088i | ||||
\(109\) | 10.9327 | 1.04717 | 0.523583 | − | 0.851975i | \(-0.324595\pi\) | ||||
0.523583 | + | 0.851975i | \(0.324595\pi\) | |||||||
\(110\) | −2.86761 | + | 0.553455i | −0.273416 | + | 0.0527698i | ||||
\(111\) | 1.88565 | + | 0.667144i | 0.178978 | + | 0.0633225i | ||||
\(112\) | −5.29234 | + | 1.28970i | −0.500079 | + | 0.121865i | ||||
\(113\) | 16.7324 | − | 9.66043i | 1.57405 | − | 0.908777i | 0.578382 | − | 0.815766i | \(-0.303684\pi\) |
0.995665 | − | 0.0930105i | \(-0.0296490\pi\) | |||||||
\(114\) | −5.62499 | − | 0.846679i | −0.526829 | − | 0.0792987i | ||||
\(115\) | −4.93040 | − | 2.84657i | −0.459762 | − | 0.265444i | ||||
\(116\) | 10.6779 | − | 13.5925i | 0.991415 | − | 1.26203i | ||||
\(117\) | −10.7946 | − | 0.690722i | −0.997959 | − | 0.0638572i | ||||
\(118\) | 7.44579 | + | 2.57486i | 0.685440 | + | 0.237035i | ||||
\(119\) | −1.32319 | + | 2.29183i | −0.121297 | + | 0.210092i | ||||
\(120\) | −4.87456 | − | 5.17496i | −0.444984 | − | 0.472407i | ||||
\(121\) | 4.48743 | + | 7.77245i | 0.407948 | + | 0.706587i | ||||
\(122\) | −13.1565 | − | 4.54971i | −1.19114 | − | 0.411911i | ||||
\(123\) | −2.35274 | + | 6.64988i | −0.212139 | + | 0.599600i | ||||
\(124\) | −12.9864 | − | 1.86032i | −1.16621 | − | 0.167061i | ||||
\(125\) | 11.4557i | 1.02463i | ||||||||
\(126\) | 0.197224 | + | 5.77428i | 0.0175701 | + | 0.514414i | ||||
\(127\) | −0.0401114 | − | 0.0231583i | −0.00355931 | − | 0.00205497i | 0.498219 | − | 0.867051i | \(-0.333987\pi\) |
−0.501779 | + | 0.864996i | \(0.667321\pi\) | |||||||
\(128\) | 3.20706 | + | 10.8496i | 0.283467 | + | 0.958982i | ||||
\(129\) | 13.0589 | + | 15.2813i | 1.14977 | + | 1.34544i | ||||
\(130\) | 2.06817 | + | 7.10465i | 0.181390 | + | 0.623119i | ||||
\(131\) | 14.8153 | 1.29442 | 0.647210 | − | 0.762311i | \(-0.275936\pi\) | ||||
0.647210 | + | 0.762311i | \(0.275936\pi\) | |||||||
\(132\) | 2.28665 | − | 4.36726i | 0.199027 | − | 0.380121i | ||||
\(133\) | 1.58123 | − | 2.73878i | 0.137110 | − | 0.237482i | ||||
\(134\) | 17.5691 | − | 3.39087i | 1.51774 | − | 0.292927i | ||||
\(135\) | −6.42600 | + | 3.94534i | −0.553062 | + | 0.339561i | ||||
\(136\) | 4.88740 | + | 2.51484i | 0.419091 | + | 0.215645i | ||||
\(137\) | −0.587697 | + | 0.339307i | −0.0502103 | + | 0.0289889i | −0.524895 | − | 0.851167i | \(-0.675895\pi\) |
0.474685 | + | 0.880156i | \(0.342562\pi\) | |||||||
\(138\) | 8.94469 | − | 3.51260i | 0.761423 | − | 0.299012i | ||||
\(139\) | −11.8655 | + | 6.85055i | −1.00642 | + | 0.581056i | −0.910141 | − | 0.414298i | \(-0.864027\pi\) |
−0.0962780 | + | 0.995354i | \(0.530694\pi\) | |||||||
\(140\) | 3.66854 | − | 1.47086i | 0.310048 | − | 0.124311i | ||||
\(141\) | 3.00127 | + | 16.1679i | 0.252752 | + | 1.36159i | ||||
\(142\) | −15.7540 | − | 5.44796i | −1.32205 | − | 0.457182i | ||||
\(143\) | −4.18725 | + | 2.96544i | −0.350155 | + | 0.247983i | ||||
\(144\) | 11.9592 | − | 0.989081i | 0.996597 | − | 0.0824234i | ||||
\(145\) | −6.27088 | + | 10.8615i | −0.520768 | + | 0.901997i | ||||
\(146\) | −12.5953 | + | 10.9196i | −1.04239 | + | 0.903710i | ||||
\(147\) | 8.40189 | + | 2.97260i | 0.692977 | + | 0.245176i | ||||
\(148\) | 1.81622 | + | 1.42677i | 0.149292 | + | 0.117280i | ||||
\(149\) | −2.29395 | + | 1.32442i | −0.187928 | + | 0.108500i | −0.591012 | − | 0.806663i | \(-0.701272\pi\) |
0.403084 | + | 0.915163i | \(0.367938\pi\) | |||||||
\(150\) | −5.54335 | − | 4.41886i | −0.452612 | − | 0.360798i | ||||
\(151\) | − | 6.05264i | − | 0.492557i | −0.969199 | − | 0.246279i | \(-0.920792\pi\) | ||
0.969199 | − | 0.246279i | \(-0.0792078\pi\) | |||||||
\(152\) | −5.84051 | − | 3.00527i | −0.473728 | − | 0.243759i | ||||
\(153\) | 3.66630 | − | 4.53273i | 0.296403 | − | 0.366450i | ||||
\(154\) | 1.79530 | + | 2.07080i | 0.144669 | + | 0.166870i | ||||
\(155\) | 9.51894 | 0.764579 | ||||||||
\(156\) | −11.5534 | − | 4.74538i | −0.925013 | − | 0.379934i | ||||
\(157\) | −1.60982 | −0.128478 | −0.0642389 | − | 0.997935i | \(-0.520462\pi\) | ||||
−0.0642389 | + | 0.997935i | \(0.520462\pi\) | |||||||
\(158\) | 6.68528 | + | 7.71120i | 0.531852 | + | 0.613470i | ||||
\(159\) | −16.7015 | + | 3.10031i | −1.32452 | + | 0.245871i | ||||
\(160\) | −3.41981 | − | 7.46282i | −0.270360 | − | 0.589987i | ||||
\(161\) | 5.34254i | 0.421051i | ||||||||
\(162\) | 1.55367 | − | 12.6327i | 0.122068 | − | 0.992522i | ||||
\(163\) | −7.16750 | + | 4.13816i | −0.561402 | + | 0.324126i | −0.753708 | − | 0.657209i | \(-0.771737\pi\) |
0.192306 | + | 0.981335i | \(0.438403\pi\) | |||||||
\(164\) | −5.03163 | + | 6.40504i | −0.392904 | + | 0.500150i | ||||
\(165\) | −1.19304 | + | 3.37207i | −0.0928783 | + | 0.262516i | ||||
\(166\) | 0.929577 | − | 0.805903i | 0.0721491 | − | 0.0625502i | ||||
\(167\) | 4.92588 | − | 8.53188i | 0.381176 | − | 0.660217i | −0.610054 | − | 0.792360i | \(-0.708852\pi\) |
0.991231 | + | 0.132143i | \(0.0421858\pi\) | |||||||
\(168\) | −1.91847 | + | 6.38966i | −0.148013 | + | 0.492973i | ||||
\(169\) | 8.46228 | + | 9.86862i | 0.650945 | + | 0.759125i | ||||
\(170\) | −3.76914 | − | 1.30342i | −0.289080 | − | 0.0999679i | ||||
\(171\) | −4.38128 | + | 5.41668i | −0.335045 | + | 0.414224i | ||||
\(172\) | 8.63768 | + | 21.5436i | 0.658617 | + | 1.64269i | ||||
\(173\) | −4.94979 | + | 2.85776i | −0.376326 | + | 0.217272i | −0.676218 | − | 0.736701i | \(-0.736382\pi\) |
0.299893 | + | 0.953973i | \(0.403049\pi\) | |||||||
\(174\) | −7.73812 | − | 19.7048i | −0.586625 | − | 1.49382i | ||||
\(175\) | 3.41318 | − | 1.97060i | 0.258012 | − | 0.148963i | ||||
\(176\) | 4.11565 | − | 3.93239i | 0.310229 | − | 0.296415i | ||||
\(177\) | 7.33544 | − | 6.26864i | 0.551365 | − | 0.471180i | ||||
\(178\) | −7.54710 | + | 1.45661i | −0.565679 | + | 0.109177i | ||||
\(179\) | −0.322630 | + | 0.558811i | −0.0241145 | + | 0.0417675i | −0.877831 | − | 0.478971i | \(-0.841010\pi\) |
0.853716 | + | 0.520738i | \(0.174343\pi\) | |||||||
\(180\) | −8.48795 | + | 1.94090i | −0.632654 | + | 0.144666i | ||||
\(181\) | 19.5501 | 1.45315 | 0.726574 | − | 0.687088i | \(-0.241111\pi\) | ||||
0.726574 | + | 0.687088i | \(0.241111\pi\) | |||||||
\(182\) | 4.80350 | − | 5.01435i | 0.356059 | − | 0.371688i | ||||
\(183\) | −12.9615 | + | 11.0765i | −0.958144 | + | 0.818800i | ||||
\(184\) | 11.0833 | − | 0.536571i | 0.817073 | − | 0.0395566i | ||||
\(185\) | −1.45131 | − | 0.837912i | −0.106702 | − | 0.0616045i | ||||
\(186\) | −10.0153 | + | 12.5640i | −0.734360 | + | 0.921237i | ||||
\(187\) | − | 2.76545i | − | 0.202230i | ||||||
\(188\) | −2.69257 | + | 18.7962i | −0.196376 | + | 1.37085i | ||||
\(189\) | 6.22149 | + | 3.37118i | 0.452547 | + | 0.245217i | ||||
\(190\) | 4.50418 | + | 1.55761i | 0.326768 | + | 0.113001i | ||||
\(191\) | 1.61184 | + | 2.79178i | 0.116628 | + | 0.202006i | 0.918430 | − | 0.395585i | \(-0.129458\pi\) |
−0.801801 | + | 0.597591i | \(0.796125\pi\) | |||||||
\(192\) | 13.4483 | + | 3.33821i | 0.970546 | + | 0.240914i | ||||
\(193\) | −2.43526 | + | 4.21800i | −0.175294 | + | 0.303618i | −0.940263 | − | 0.340449i | \(-0.889421\pi\) |
0.764969 | + | 0.644067i | \(0.222754\pi\) | |||||||
\(194\) | −13.9738 | − | 4.83234i | −1.00326 | − | 0.346942i | ||||
\(195\) | 8.78653 | + | 2.21965i | 0.629217 | + | 0.158952i | ||||
\(196\) | 8.09254 | + | 6.35728i | 0.578039 | + | 0.454092i | ||||
\(197\) | −17.3171 | − | 9.99804i | −1.23379 | − | 0.712331i | −0.265974 | − | 0.963980i | \(-0.585694\pi\) |
−0.967818 | + | 0.251649i | \(0.919027\pi\) | |||||||
\(198\) | −3.19553 | − | 5.12262i | −0.227096 | − | 0.364049i | ||||
\(199\) | 17.8271 | − | 10.2925i | 1.26373 | − | 0.729616i | 0.289937 | − | 0.957046i | \(-0.406366\pi\) |
0.973794 | + | 0.227430i | \(0.0730322\pi\) | |||||||
\(200\) | −4.43089 | − | 6.88287i | −0.313311 | − | 0.486692i | ||||
\(201\) | 7.30947 | − | 20.6598i | 0.515570 | − | 1.45723i | ||||
\(202\) | −0.397595 | + | 0.0767366i | −0.0279747 | + | 0.00539917i | ||||
\(203\) | 11.7694 | 0.826050 | ||||||||
\(204\) | 5.68608 | − | 3.60348i | 0.398105 | − | 0.252294i | ||||
\(205\) | 2.95496 | − | 5.11815i | 0.206384 | − | 0.357467i | ||||
\(206\) | −3.68711 | − | 4.25293i | −0.256893 | − | 0.296316i | ||||
\(207\) | 1.83458 | − | 11.6255i | 0.127512 | − | 0.808031i | ||||
\(208\) | −10.8849 | − | 9.46144i | −0.754732 | − | 0.656033i | ||||
\(209\) | 3.30475i | 0.228595i | ||||||||
\(210\) | 0.720511 | − | 4.78679i | 0.0497200 | − | 0.330320i | ||||
\(211\) | 10.2582 | + | 5.92258i | 0.706204 | + | 0.407727i | 0.809654 | − | 0.586908i | \(-0.199655\pi\) |
−0.103450 | + | 0.994635i | \(0.532988\pi\) | |||||||
\(212\) | −19.4165 | − | 2.78143i | −1.33353 | − | 0.191030i | ||||
\(213\) | −15.5205 | + | 13.2633i | −1.06345 | + | 0.908790i | ||||
\(214\) | 0.0535384 | + | 0.277398i | 0.00365981 | + | 0.0189625i | ||||
\(215\) | −8.42068 | − | 14.5850i | −0.574285 | − | 0.994692i | ||||
\(216\) | 6.36880 | − | 13.2453i | 0.433342 | − | 0.901229i | ||||
\(217\) | −4.46637 | − | 7.73598i | −0.303197 | − | 0.525152i | ||||
\(218\) | 11.6822 | − | 10.1280i | 0.791218 | − | 0.685952i | ||||
\(219\) | 3.72620 | + | 20.0732i | 0.251793 | + | 1.35642i | ||||
\(220\) | −2.55148 | + | 3.24792i | −0.172020 | + | 0.218974i | ||||
\(221\) | −6.97661 | + | 0.647991i | −0.469297 | + | 0.0435886i | ||||
\(222\) | 2.63295 | − | 1.03396i | 0.176712 | − | 0.0693951i | ||||
\(223\) | −7.17266 | − | 4.14114i | −0.480317 | − | 0.277311i | 0.240232 | − | 0.970716i | \(-0.422777\pi\) |
−0.720548 | + | 0.693405i | \(0.756110\pi\) | |||||||
\(224\) | −4.46038 | + | 6.28087i | −0.298021 | + | 0.419659i | ||||
\(225\) | −8.10388 | + | 3.11603i | −0.540258 | + | 0.207736i | ||||
\(226\) | 8.93007 | − | 25.8233i | 0.594020 | − | 1.71774i | ||||
\(227\) | −12.2315 | − | 21.1855i | −0.811831 | − | 1.40613i | −0.911581 | − | 0.411120i | \(-0.865138\pi\) |
0.0997498 | − | 0.995013i | \(-0.468196\pi\) | |||||||
\(228\) | −6.79495 | + | 4.30621i | −0.450007 | + | 0.285186i | ||||
\(229\) | 1.64333 | 0.108594 | 0.0542970 | − | 0.998525i | \(-0.482708\pi\) | ||||
0.0542970 | + | 0.998525i | \(0.482708\pi\) | |||||||
\(230\) | −7.90542 | + | 1.52576i | −0.521268 | + | 0.100606i | ||||
\(231\) | 3.30025 | − | 0.612628i | 0.217140 | − | 0.0403079i | ||||
\(232\) | −1.18204 | − | 24.4161i | −0.0776050 | − | 1.60300i | ||||
\(233\) | 7.09150i | 0.464580i | 0.972647 | + | 0.232290i | \(0.0746218\pi\) | ||||
−0.972647 | + | 0.232290i | \(0.925378\pi\) | |||||||
\(234\) | −12.1744 | + | 9.26191i | −0.795868 | + | 0.605470i | ||||
\(235\) | − | 13.7775i | − | 0.898742i | ||||||
\(236\) | 10.3415 | − | 4.14632i | 0.673176 | − | 0.269903i | ||||
\(237\) | 12.2894 | − | 2.28129i | 0.798281 | − | 0.148186i | ||||
\(238\) | 0.709231 | + | 3.67473i | 0.0459726 | + | 0.238198i | ||||
\(239\) | 27.8622 | 1.80226 | 0.901129 | − | 0.433551i | \(-0.142740\pi\) | ||||
0.901129 | + | 0.433551i | \(0.142740\pi\) | |||||||
\(240\) | −10.0027 | − | 1.01398i | −0.645674 | − | 0.0654518i | ||||
\(241\) | −6.91750 | − | 11.9815i | −0.445596 | − | 0.771794i | 0.552498 | − | 0.833514i | \(-0.313675\pi\) |
−0.998093 | + | 0.0617202i | \(0.980341\pi\) | |||||||
\(242\) | 11.9954 | + | 4.14817i | 0.771091 | + | 0.266654i | ||||
\(243\) | −12.3805 | − | 9.47220i | −0.794211 | − | 0.607642i | ||||
\(244\) | −18.2732 | + | 7.32645i | −1.16982 | + | 0.469028i | ||||
\(245\) | −6.46660 | − | 3.73349i | −0.413136 | − | 0.238524i | ||||
\(246\) | 3.64636 | + | 9.28530i | 0.232483 | + | 0.592009i | ||||
\(247\) | 8.33715 | − | 0.774359i | 0.530480 | − | 0.0492713i | ||||
\(248\) | −15.6000 | + | 10.0426i | −0.990602 | + | 0.637707i | ||||
\(249\) | −0.275007 | − | 1.48147i | −0.0174279 | − | 0.0938845i | ||||
\(250\) | 10.6124 | + | 12.2410i | 0.671189 | + | 0.774189i | ||||
\(251\) | −3.19914 | − | 5.54107i | −0.201928 | − | 0.349749i | 0.747222 | − | 0.664575i | \(-0.231387\pi\) |
−0.949150 | + | 0.314825i | \(0.898054\pi\) | |||||||
\(252\) | 5.55997 | + | 5.98741i | 0.350245 | + | 0.377171i | ||||
\(253\) | −2.79146 | − | 4.83495i | −0.175497 | − | 0.303971i | ||||
\(254\) | −0.0643147 | + | 0.0124129i | −0.00403546 | + | 0.000778853i | ||||
\(255\) | −3.71328 | + | 3.17325i | −0.232535 | + | 0.198717i | ||||
\(256\) | 13.4779 | + | 8.62242i | 0.842369 | + | 0.538901i | ||||
\(257\) | 1.94593 | + | 1.12349i | 0.121384 | + | 0.0700811i | 0.559463 | − | 0.828856i | \(-0.311008\pi\) |
−0.438079 | + | 0.898937i | \(0.644341\pi\) | |||||||
\(258\) | 28.1105 | + | 4.23122i | 1.75009 | + | 0.263424i | ||||
\(259\) | 1.57262i | 0.0977180i | ||||||||
\(260\) | 8.79161 | + | 5.67576i | 0.545233 | + | 0.351995i | ||||
\(261\) | −25.6106 | − | 4.04151i | −1.58526 | − | 0.250163i | ||||
\(262\) | 15.8309 | − | 13.7248i | 0.978039 | − | 0.847918i | ||||
\(263\) | 3.25402 | − | 5.63613i | 0.200652 | − | 0.347539i | −0.748087 | − | 0.663601i | \(-0.769027\pi\) |
0.948739 | + | 0.316062i | \(0.102361\pi\) | |||||||
\(264\) | −1.60238 | − | 6.78497i | −0.0986195 | − | 0.417586i | ||||
\(265\) | 14.2321 | 0.874273 | ||||||||
\(266\) | −0.847542 | − | 4.39136i | −0.0519661 | − | 0.269252i | ||||
\(267\) | −3.13991 | + | 8.87478i | −0.192159 | + | 0.543127i | ||||
\(268\) | 15.6322 | − | 19.8991i | 0.954890 | − | 1.21553i | ||||
\(269\) | 1.51464 | − | 0.874479i | 0.0923494 | − | 0.0533180i | −0.453114 | − | 0.891453i | \(-0.649687\pi\) |
0.545463 | + | 0.838135i | \(0.316354\pi\) | |||||||
\(270\) | −3.21160 | + | 10.1688i | −0.195452 | + | 0.618852i | ||||
\(271\) | −2.11221 | − | 1.21949i | −0.128308 | − | 0.0740784i | 0.434472 | − | 0.900685i | \(-0.356935\pi\) |
−0.562780 | + | 0.826607i | \(0.690268\pi\) | |||||||
\(272\) | 7.55215 | − | 1.84040i | 0.457917 | − | 0.111590i | ||||
\(273\) | −2.31883 | − | 8.18223i | −0.140342 | − | 0.495211i | ||||
\(274\) | −0.313655 | + | 0.907003i | −0.0189486 | + | 0.0547941i | ||||
\(275\) | −2.05926 | + | 3.56675i | −0.124178 | + | 0.215083i | ||||
\(276\) | 6.30383 | − | 12.0397i | 0.379446 | − | 0.724702i | ||||
\(277\) | −1.47146 | − | 2.54864i | −0.0884115 | − | 0.153133i | 0.818428 | − | 0.574609i | \(-0.194846\pi\) |
−0.906840 | + | 0.421475i | \(0.861512\pi\) | |||||||
\(278\) | −6.33264 | + | 18.3123i | −0.379806 | + | 1.09830i | ||||
\(279\) | 7.06249 | + | 18.3674i | 0.422820 | + | 1.09963i | ||||
\(280\) | 2.55744 | − | 4.97019i | 0.152836 | − | 0.297026i | ||||
\(281\) | − | 22.0308i | − | 1.31425i | −0.753783 | − | 0.657124i | \(-0.771773\pi\) | ||
0.753783 | − | 0.657124i | \(-0.228227\pi\) | |||||||
\(282\) | 18.1848 | + | 14.4959i | 1.08289 | + | 0.863220i | ||||
\(283\) | −1.41048 | − | 0.814338i | −0.0838441 | − | 0.0484074i | 0.457492 | − | 0.889214i | \(-0.348748\pi\) |
−0.541336 | + | 0.840806i | \(0.682081\pi\) | |||||||
\(284\) | −21.8809 | + | 8.77290i | −1.29839 | + | 0.520576i | ||||
\(285\) | 4.43743 | − | 3.79209i | 0.262850 | − | 0.224624i | ||||
\(286\) | −1.72714 | + | 7.04775i | −0.102128 | + | 0.416742i | ||||
\(287\) | −5.54598 | −0.327369 | ||||||||
\(288\) | 11.8627 | − | 12.1357i | 0.699018 | − | 0.715105i | ||||
\(289\) | −6.61181 | + | 11.4520i | −0.388930 | + | 0.673647i | ||||
\(290\) | 3.36119 | + | 17.4153i | 0.197376 | + | 1.02266i | ||||
\(291\) | −13.7667 | + | 11.7646i | −0.807018 | + | 0.689653i | ||||
\(292\) | −3.34295 | + | 23.3363i | −0.195631 | + | 1.36565i | ||||
\(293\) | 21.4196 | − | 12.3666i | 1.25135 | − | 0.722466i | 0.279971 | − | 0.960009i | \(-0.409675\pi\) |
0.971377 | + | 0.237542i | \(0.0763419\pi\) | |||||||
\(294\) | 11.7316 | − | 4.60704i | 0.684203 | − | 0.268688i | ||||
\(295\) | −7.00122 | + | 4.04216i | −0.407627 | + | 0.235344i | ||||
\(296\) | 3.26247 | − | 0.157944i | 0.189627 | − | 0.00918033i | ||||
\(297\) | −7.39182 | + | 0.199820i | −0.428917 | + | 0.0115948i | ||||
\(298\) | −1.22429 | + | 3.54030i | −0.0709210 | + | 0.205084i | ||||
\(299\) | −11.5434 | + | 8.17513i | −0.667572 | + | 0.472780i | ||||
\(300\) | −10.0169 | + | 0.413518i | −0.578328 | + | 0.0238745i | ||||
\(301\) | −7.90211 | + | 13.6869i | −0.455470 | + | 0.788897i | ||||
\(302\) | −5.60710 | − | 6.46757i | −0.322652 | − | 0.372167i | ||||
\(303\) | −0.165416 | + | 0.467539i | −0.00950289 | + | 0.0268594i | ||||
\(304\) | −9.02494 | + | 2.19930i | −0.517616 | + | 0.126139i | ||||
\(305\) | 12.3710 | − | 7.14239i | 0.708360 | − | 0.408972i | ||||
\(306\) | −0.281438 | − | 8.23988i | −0.0160887 | − | 0.471043i | ||||
\(307\) | 17.8517i | 1.01885i | 0.860516 | + | 0.509424i | \(0.170141\pi\) | ||||
−0.860516 | + | 0.509424i | \(0.829859\pi\) | |||||||
\(308\) | 3.83673 | + | 0.549616i | 0.218618 | + | 0.0313173i | ||||
\(309\) | −6.77793 | + | 1.25819i | −0.385583 | + | 0.0715760i | ||||
\(310\) | 10.1715 | − | 8.81824i | 0.577701 | − | 0.500842i | ||||
\(311\) | −4.13018 | −0.234201 | −0.117100 | − | 0.993120i | \(-0.537360\pi\) | ||||
−0.117100 | + | 0.993120i | \(0.537360\pi\) | |||||||
\(312\) | −16.7415 | + | 5.63227i | −0.947800 | + | 0.318864i | ||||
\(313\) | −17.9403 | −1.01405 | −0.507023 | − | 0.861933i | \(-0.669254\pi\) | ||||
−0.507023 | + | 0.861933i | \(0.669254\pi\) | |||||||
\(314\) | −1.72018 | + | 1.49132i | −0.0970753 | + | 0.0841601i | ||||
\(315\) | −4.60952 | − | 3.72841i | −0.259717 | − | 0.210072i | ||||
\(316\) | 14.2871 | + | 2.04665i | 0.803714 | + | 0.115133i | ||||
\(317\) | − | 9.33792i | − | 0.524470i | −0.965004 | − | 0.262235i | \(-0.915540\pi\) | ||
0.965004 | − | 0.262235i | \(-0.0844595\pi\) | |||||||
\(318\) | −14.9743 | + | 18.7849i | −0.839719 | + | 1.05341i | ||||
\(319\) | −10.6512 | + | 6.14947i | −0.596352 | + | 0.344304i | ||||
\(320\) | −10.5677 | − | 4.80633i | −0.590753 | − | 0.268682i | ||||
\(321\) | 0.326197 | + | 0.115409i | 0.0182066 | + | 0.00644150i | ||||
\(322\) | 4.94927 | + | 5.70878i | 0.275812 | + | 0.318138i | ||||
\(323\) | −2.25641 | + | 3.90822i | −0.125550 | + | 0.217459i | ||||
\(324\) | −10.0426 | − | 14.9380i | −0.557925 | − | 0.829891i | ||||
\(325\) | 9.48062 | + | 4.35931i | 0.525890 | + | 0.241811i | ||||
\(326\) | −3.82530 | + | 11.0617i | −0.211864 | + | 0.612653i | ||||
\(327\) | −3.45607 | − | 18.6180i | −0.191121 | − | 1.02958i | ||||
\(328\) | 0.557003 | + | 11.5054i | 0.0307554 | + | 0.635277i | ||||
\(329\) | −11.1968 | + | 6.46450i | −0.617302 | + | 0.356399i | ||||
\(330\) | 1.84902 | + | 4.70846i | 0.101785 | + | 0.259192i | ||||
\(331\) | −9.79161 | + | 5.65319i | −0.538196 | + | 0.310727i | −0.744347 | − | 0.667793i | \(-0.767239\pi\) |
0.206152 | + | 0.978520i | \(0.433906\pi\) | |||||||
\(332\) | 0.246721 | − | 1.72230i | 0.0135406 | − | 0.0945234i | ||||
\(333\) | 0.540025 | − | 3.42208i | 0.0295932 | − | 0.187529i | ||||
\(334\) | −2.64028 | − | 13.6800i | −0.144470 | − | 0.748539i | ||||
\(335\) | −9.18047 | + | 15.9010i | −0.501582 | + | 0.868766i | ||||
\(336\) | 3.86932 | + | 8.60493i | 0.211089 | + | 0.469437i | ||||
\(337\) | −12.0462 | −0.656198 | −0.328099 | − | 0.944643i | \(-0.606408\pi\) | ||||
−0.328099 | + | 0.944643i | \(0.606408\pi\) | |||||||
\(338\) | 18.1846 | + | 2.70577i | 0.989111 | + | 0.147175i | ||||
\(339\) | −21.7408 | − | 25.4406i | −1.18080 | − | 1.38175i | ||||
\(340\) | −5.23500 | + | 2.09892i | −0.283908 | + | 0.113830i | ||||
\(341\) | 8.08404 | + | 4.66732i | 0.437775 | + | 0.252750i | ||||
\(342\) | 0.336322 | + | 9.84678i | 0.0181862 | + | 0.532453i | ||||
\(343\) | 16.5398i | 0.893064i | ||||||||
\(344\) | 29.1876 | + | 15.0186i | 1.57369 | + | 0.809750i | ||||
\(345\) | −3.28898 | + | 9.29613i | −0.177073 | + | 0.500487i | ||||
\(346\) | −2.64171 | + | 7.63910i | −0.142019 | + | 0.410681i | ||||
\(347\) | 17.0538 | + | 29.5381i | 0.915498 | + | 1.58569i | 0.806171 | + | 0.591683i | \(0.201536\pi\) |
0.109327 | + | 0.994006i | \(0.465130\pi\) | |||||||
\(348\) | −26.5229 | − | 13.8871i | −1.42178 | − | 0.744426i | ||||
\(349\) | 12.0148 | − | 20.8102i | 0.643135 | − | 1.11394i | −0.341594 | − | 0.939848i | \(-0.610967\pi\) |
0.984729 | − | 0.174095i | \(-0.0556999\pi\) | |||||||
\(350\) | 1.82162 | − | 5.26762i | 0.0973696 | − | 0.281566i | ||||
\(351\) | 2.23613 | + | 18.6011i | 0.119356 | + | 0.992852i | ||||
\(352\) | 0.754864 | − | 8.01466i | 0.0402344 | − | 0.427183i | ||||
\(353\) | 11.7845 | + | 6.80381i | 0.627228 | + | 0.362130i | 0.779678 | − | 0.626181i | \(-0.215383\pi\) |
−0.152450 | + | 0.988311i | \(0.548716\pi\) | |||||||
\(354\) | 2.03110 | − | 13.4938i | 0.107952 | − | 0.717189i | ||||
\(355\) | 14.8134 | − | 8.55251i | 0.786212 | − | 0.453920i | ||||
\(356\) | −6.71509 | + | 8.54801i | −0.355899 | + | 0.453044i | ||||
\(357\) | 4.32119 | + | 1.52884i | 0.228701 | + | 0.0809148i | ||||
\(358\) | 0.172930 | + | 0.896000i | 0.00913962 | + | 0.0473551i | ||||
\(359\) | 1.81824 | 0.0959630 | 0.0479815 | − | 0.998848i | \(-0.484721\pi\) | ||||
0.0479815 | + | 0.998848i | \(0.484721\pi\) | |||||||
\(360\) | −7.27179 | + | 9.93709i | −0.383257 | + | 0.523731i | ||||
\(361\) | −6.80355 | + | 11.7841i | −0.358082 | + | 0.620216i | ||||
\(362\) | 20.8903 | − | 18.1110i | 1.09797 | − | 0.951894i | ||||
\(363\) | 11.8176 | − | 10.0989i | 0.620263 | − | 0.530057i | ||||
\(364\) | 0.487547 | − | 9.80800i | 0.0255544 | − | 0.514079i | ||||
\(365\) | − | 17.1053i | − | 0.895333i | ||||||
\(366\) | −3.58891 | + | 23.8433i | −0.187595 | + | 1.24631i | ||||
\(367\) | −6.36082 | − | 3.67242i | −0.332032 | − | 0.191699i | 0.324711 | − | 0.945813i | \(-0.394733\pi\) |
−0.656743 | + | 0.754115i | \(0.728066\pi\) | |||||||
\(368\) | 11.3460 | − | 10.8408i | 0.591453 | − | 0.565117i | ||||
\(369\) | 12.0682 | + | 1.90444i | 0.628247 | + | 0.0991413i | ||||
\(370\) | −2.32703 | + | 0.449122i | −0.120976 | + | 0.0233487i | ||||
\(371\) | −6.67784 | − | 11.5664i | −0.346696 | − | 0.600496i | ||||
\(372\) | 0.937240 | + | 22.7034i | 0.0485936 | + | 1.17712i | ||||
\(373\) | −5.76700 | − | 9.98874i | −0.298604 | − | 0.517197i | 0.677213 | − | 0.735787i | \(-0.263188\pi\) |
−0.975817 | + | 0.218590i | \(0.929854\pi\) | |||||||
\(374\) | −2.56188 | − | 2.95503i | −0.132472 | − | 0.152801i | ||||
\(375\) | 19.5086 | − | 3.62139i | 1.00742 | − | 0.187008i | ||||
\(376\) | 14.5354 | + | 22.5791i | 0.749607 | + | 1.16443i | ||||
\(377\) | 18.0095 | + | 25.4296i | 0.927535 | + | 1.30969i | ||||
\(378\) | 9.77101 | − | 2.16124i | 0.502567 | − | 0.111162i | ||||
\(379\) | −6.32145 | − | 3.64969i | −0.324711 | − | 0.187472i | 0.328779 | − | 0.944407i | \(-0.393363\pi\) |
−0.653491 | + | 0.756935i | \(0.726696\pi\) | |||||||
\(380\) | 6.25590 | − | 2.50824i | 0.320921 | − | 0.128670i | ||||
\(381\) | −0.0267576 | + | 0.0756289i | −0.00137083 | + | 0.00387458i | ||||
\(382\) | 4.30861 | + | 1.48998i | 0.220448 | + | 0.0762339i | ||||
\(383\) | 6.93326 | + | 12.0088i | 0.354273 | + | 0.613619i | 0.986993 | − | 0.160762i | \(-0.0513950\pi\) |
−0.632720 | + | 0.774380i | \(0.718062\pi\) | |||||||
\(384\) | 17.4627 | − | 8.89130i | 0.891138 | − | 0.453732i | ||||
\(385\) | −2.81230 | −0.143328 | ||||||||
\(386\) | 1.30530 | + | 6.76315i | 0.0664382 | + | 0.344236i | ||||
\(387\) | 21.8952 | − | 27.0695i | 1.11300 | − | 1.37602i | ||||
\(388\) | −19.4084 | + | 7.78157i | −0.985310 | + | 0.395049i | ||||
\(389\) | 22.0280i | 1.11686i | 0.829551 | + | 0.558431i | \(0.188596\pi\) | ||||
−0.829551 | + | 0.558431i | \(0.811404\pi\) | |||||||
\(390\) | 11.4451 | − | 5.76794i | 0.579546 | − | 0.292071i | ||||
\(391\) | − | 7.62379i | − | 0.385552i | ||||||
\(392\) | 14.5366 | − | 0.703754i | 0.734210 | − | 0.0355449i | ||||
\(393\) | −4.68344 | − | 25.2299i | −0.236248 | − | 1.27268i | ||||
\(394\) | −27.7663 | + | 5.35895i | −1.39885 | + | 0.269980i | ||||
\(395\) | −10.4724 | −0.526922 | ||||||||
\(396\) | −8.16012 | − | 2.51348i | −0.410062 | − | 0.126307i | ||||
\(397\) | −3.18635 | − | 5.51891i | −0.159918 | − | 0.276986i | 0.774921 | − | 0.632058i | \(-0.217790\pi\) |
−0.934839 | + | 0.355072i | \(0.884456\pi\) | |||||||
\(398\) | 9.51436 | − | 27.5129i | 0.476912 | − | 1.37910i | ||||
\(399\) | −5.16388 | − | 1.82699i | −0.258517 | − | 0.0914638i | ||||
\(400\) | −11.1108 | − | 3.24997i | −0.555542 | − | 0.162499i | ||||
\(401\) | −18.6982 | − | 10.7954i | −0.933743 | − | 0.539097i | −0.0457494 | − | 0.998953i | \(-0.514568\pi\) |
−0.887993 | + | 0.459856i | \(0.847901\pi\) | |||||||
\(402\) | −11.3285 | − | 28.8475i | −0.565013 | − | 1.43878i | ||||
\(403\) | 9.88038 | − | 21.4878i | 0.492177 | − | 1.07039i | ||||
\(404\) | −0.353763 | + | 0.450324i | −0.0176004 | + | 0.0224045i | ||||
\(405\) | 8.75015 | + | 9.69601i | 0.434798 | + | 0.481798i | ||||
\(406\) | 12.5762 | − | 10.9030i | 0.624147 | − | 0.541109i | ||||
\(407\) | −0.821690 | − | 1.42321i | −0.0407297 | − | 0.0705458i | ||||
\(408\) | 2.73765 | − | 9.11802i | 0.135534 | − | 0.451409i | ||||
\(409\) | 8.07526 | + | 13.9868i | 0.399296 | + | 0.691601i | 0.993639 | − | 0.112611i | \(-0.0359213\pi\) |
−0.594343 | + | 0.804211i | \(0.702588\pi\) | |||||||
\(410\) | −1.58386 | − | 8.20645i | −0.0782214 | − | 0.405288i | ||||
\(411\) | 0.763609 | + | 0.893561i | 0.0376661 | + | 0.0440761i | ||||
\(412\) | −7.87974 | − | 1.12878i | −0.388207 | − | 0.0556111i | ||||
\(413\) | 6.57007 | + | 3.79323i | 0.323292 | + | 0.186653i | ||||
\(414\) | −8.80942 | − | 14.1220i | −0.432959 | − | 0.694060i | ||||
\(415\) | 1.26243i | 0.0619704i | ||||||||
\(416\) | −20.3961 | − | 0.0263824i | −0.999999 | − | 0.00129350i | ||||
\(417\) | 15.4172 | + | 18.0409i | 0.754981 | + | 0.883465i | ||||
\(418\) | 3.06149 | + | 3.53130i | 0.149742 | + | 0.172722i | ||||
\(419\) | 18.4825 | − | 32.0126i | 0.902928 | − | 1.56392i | 0.0792540 | − | 0.996854i | \(-0.474746\pi\) |
0.823674 | − | 0.567063i | \(-0.191920\pi\) | |||||||
\(420\) | −3.66452 | − | 5.78240i | −0.178810 | − | 0.282152i | ||||
\(421\) | 10.5330 | 0.513349 | 0.256675 | − | 0.966498i | \(-0.417373\pi\) | ||||
0.256675 | + | 0.966498i | \(0.417373\pi\) | |||||||
\(422\) | 16.4480 | − | 3.17451i | 0.800678 | − | 0.154533i | ||||
\(423\) | 26.5845 | − | 10.2221i | 1.29258 | − | 0.497014i | ||||
\(424\) | −23.3242 | + | 15.0151i | −1.13272 | + | 0.729198i | ||||
\(425\) | −4.87060 | + | 2.81204i | −0.236259 | + | 0.136404i | ||||
\(426\) | −4.29746 | + | 28.5506i | −0.208213 | + | 1.38328i | ||||
\(427\) | −11.6091 | − | 6.70254i | −0.561806 | − | 0.324359i | ||||
\(428\) | 0.314187 | + | 0.246817i | 0.0151868 | + | 0.0119303i | ||||
\(429\) | 6.37370 | + | 6.19327i | 0.307725 | + | 0.299014i | ||||
\(430\) | −22.5094 | − | 7.78405i | −1.08550 | − | 0.375380i | ||||
\(431\) | −9.37805 | + | 16.2433i | −0.451725 | + | 0.782410i | −0.998493 | − | 0.0548737i | \(-0.982524\pi\) |
0.546769 | + | 0.837284i | \(0.315858\pi\) | |||||||
\(432\) | −5.46491 | − | 20.0533i | −0.262931 | − | 0.964815i | ||||
\(433\) | −2.79259 | − | 4.83691i | −0.134204 | − | 0.232447i | 0.791089 | − | 0.611701i | \(-0.209514\pi\) |
−0.925293 | + | 0.379253i | \(0.876181\pi\) | |||||||
\(434\) | −11.9391 | − | 4.12870i | −0.573094 | − | 0.198184i | ||||
\(435\) | 20.4790 | + | 7.24550i | 0.981893 | + | 0.347395i | ||||
\(436\) | 3.10060 | − | 21.6445i | 0.148492 | − | 1.03658i | ||||
\(437\) | 9.11054i | 0.435816i | ||||||||
\(438\) | 22.5772 | + | 17.9973i | 1.07878 | + | 0.859946i | ||||
\(439\) | 21.7232 | + | 12.5419i | 1.03679 | + | 0.598593i | 0.918923 | − | 0.394436i | \(-0.129060\pi\) |
0.117870 | + | 0.993029i | \(0.462393\pi\) | |||||||
\(440\) | 0.282450 | + | 5.83423i | 0.0134653 | + | 0.278136i | ||||
\(441\) | 2.40620 | − | 15.2478i | 0.114581 | − | 0.726085i | ||||
\(442\) | −6.85458 | + | 7.15546i | −0.326039 | + | 0.340351i | ||||
\(443\) | −13.6418 | −0.648143 | −0.324072 | − | 0.946033i | \(-0.605052\pi\) | ||||
−0.324072 | + | 0.946033i | \(0.605052\pi\) | |||||||
\(444\) | 1.85559 | − | 3.54398i | 0.0880623 | − | 0.168190i | ||||
\(445\) | 3.94362 | − | 6.83056i | 0.186946 | − | 0.323799i | ||||
\(446\) | −11.5007 | + | 2.21965i | −0.544572 | + | 0.105104i | ||||
\(447\) | 2.98059 | + | 3.48783i | 0.140977 | + | 0.164969i | ||||
\(448\) | 1.05239 | + | 10.8435i | 0.0497206 | + | 0.512307i | ||||
\(449\) | −34.5428 | + | 19.9433i | −1.63017 | + | 0.941181i | −0.646135 | + | 0.763223i | \(0.723616\pi\) |
−0.984038 | + | 0.177958i | \(0.943051\pi\) | |||||||
\(450\) | −5.77276 | + | 10.8370i | −0.272130 | + | 0.510860i | ||||
\(451\) | 5.01906 | − | 2.89775i | 0.236338 | − | 0.136450i | ||||
\(452\) | −14.3802 | − | 35.8663i | −0.676388 | − | 1.68701i | ||||
\(453\) | −10.3074 | + | 1.91337i | −0.484284 | + | 0.0898980i | ||||
\(454\) | −32.6960 | − | 11.3067i | −1.53450 | − | 0.530652i | ||||
\(455\) | 0.658968 | + | 7.09479i | 0.0308929 | + | 0.332609i | ||||
\(456\) | −3.27153 | + | 10.8962i | −0.153204 | + | 0.510260i | ||||
\(457\) | −0.873347 | + | 1.51268i | −0.0408535 | + | 0.0707603i | −0.885729 | − | 0.464202i | \(-0.846341\pi\) |
0.844876 | + | 0.534963i | \(0.179674\pi\) | |||||||
\(458\) | 1.75598 | − | 1.52236i | 0.0820515 | − | 0.0711352i | ||||
\(459\) | −8.87805 | − | 4.81066i | −0.414392 | − | 0.224543i | ||||
\(460\) | −7.03390 | + | 8.95385i | −0.327958 | + | 0.417476i | ||||
\(461\) | −12.1252 | + | 7.00050i | −0.564728 | + | 0.326046i | −0.755041 | − | 0.655678i | \(-0.772383\pi\) |
0.190313 | + | 0.981723i | \(0.439050\pi\) | |||||||
\(462\) | 2.95896 | − | 3.71194i | 0.137663 | − | 0.172695i | ||||
\(463\) | 26.3289i | 1.22361i | 0.791009 | + | 0.611805i | \(0.209556\pi\) | ||||
−0.791009 | + | 0.611805i | \(0.790444\pi\) | |||||||
\(464\) | −23.8819 | − | 24.9948i | −1.10869 | − | 1.16036i | ||||
\(465\) | −3.00914 | − | 16.2104i | −0.139546 | − | 0.751737i | ||||
\(466\) | 6.56949 | + | 7.57764i | 0.304326 | + | 0.351027i | ||||
\(467\) | −38.7428 | −1.79280 | −0.896401 | − | 0.443244i | \(-0.853827\pi\) | ||||
−0.896401 | + | 0.443244i | \(0.853827\pi\) | |||||||
\(468\) | −4.42890 | + | 21.1751i | −0.204726 | + | 0.978819i | ||||
\(469\) | 17.2302 | 0.795618 | ||||||||
\(470\) | −12.7633 | − | 14.7219i | −0.588726 | − | 0.679072i | ||||
\(471\) | 0.508899 | + | 2.74146i | 0.0234488 | + | 0.126320i | ||||
\(472\) | 7.20936 | − | 14.0108i | 0.331837 | − | 0.644901i | ||||
\(473\) | − | 16.5153i | − | 0.759374i | ||||||
\(474\) | 11.0185 | − | 13.8224i | 0.506096 | − | 0.634885i | ||||
\(475\) | 5.82044 | − | 3.36043i | 0.267060 | − | 0.154187i | ||||
\(476\) | 4.16208 | + | 3.26962i | 0.190769 | + | 0.149863i | ||||
\(477\) | 10.5594 | + | 27.4619i | 0.483482 | + | 1.25739i | ||||
\(478\) | 29.7722 | − | 25.8113i | 1.36175 | − | 1.18058i | ||||
\(479\) | 8.39721 | − | 14.5444i | 0.383679 | − | 0.664551i | −0.607906 | − | 0.794009i | \(-0.707990\pi\) |
0.991585 | + | 0.129458i | \(0.0413237\pi\) | |||||||
\(480\) | −11.6278 | + | 8.18295i | −0.530734 | + | 0.373499i | ||||
\(481\) | −3.39790 | + | 2.40642i | −0.154931 | + | 0.109723i | ||||
\(482\) | −18.4912 | − | 6.39452i | −0.842252 | − | 0.291263i | ||||
\(483\) | 9.09812 | − | 1.68889i | 0.413979 | − | 0.0768472i | ||||
\(484\) | 16.6605 | − | 6.67984i | 0.757295 | − | 0.303629i | ||||
\(485\) | 13.1395 | − | 7.58607i | 0.596632 | − | 0.344466i | ||||
\(486\) | −22.0042 | + | 1.34764i | −0.998130 | + | 0.0611302i | ||||
\(487\) | −17.2898 | + | 9.98229i | −0.783477 | + | 0.452341i | −0.837661 | − | 0.546190i | \(-0.816078\pi\) |
0.0541842 | + | 0.998531i | \(0.482744\pi\) | |||||||
\(488\) | −12.7387 | + | 24.7568i | −0.576656 | + | 1.12069i | ||||
\(489\) | 9.31292 | + | 10.8978i | 0.421145 | + | 0.492815i | ||||
\(490\) | −10.3686 | + | 2.00115i | −0.468404 | + | 0.0904029i | ||||
\(491\) | −15.2145 | + | 26.3523i | −0.686621 | + | 1.18926i | 0.286304 | + | 0.958139i | \(0.407573\pi\) |
−0.972925 | + | 0.231123i | \(0.925760\pi\) | |||||||
\(492\) | 12.4981 | + | 6.54388i | 0.563459 | + | 0.295021i | ||||
\(493\) | −16.7949 | −0.756404 | ||||||||
\(494\) | 8.19132 | − | 8.55089i | 0.368545 | − | 0.384723i | ||||
\(495\) | 6.11965 | + | 0.965719i | 0.275058 | + | 0.0434058i | ||||
\(496\) | −7.36607 | + | 25.1827i | −0.330746 | + | 1.13074i | ||||
\(497\) | −13.9011 | − | 8.02582i | −0.623551 | − | 0.360007i | ||||
\(498\) | −1.66628 | − | 1.32827i | −0.0746677 | − | 0.0595211i | ||||
\(499\) | − | 39.2631i | − | 1.75766i | −0.477139 | − | 0.878828i | \(-0.658326\pi\) | ||
0.477139 | − | 0.878828i | \(-0.341674\pi\) | |||||||
\(500\) | 22.6799 | + | 3.24891i | 1.01427 | + | 0.145296i | ||||
\(501\) | −16.0866 | − | 5.69146i | −0.718697 | − | 0.254276i | ||||
\(502\) | −8.55164 | − | 2.95728i | −0.381678 | − | 0.131990i | ||||
\(503\) | −3.73112 | − | 6.46250i | −0.166363 | − | 0.288149i | 0.770776 | − | 0.637107i | \(-0.219869\pi\) |
−0.937138 | + | 0.348958i | \(0.886536\pi\) | |||||||
\(504\) | 11.4878 | + | 1.24716i | 0.511707 | + | 0.0555531i | ||||
\(505\) | 0.207757 | − | 0.359846i | 0.00924507 | − | 0.0160129i | ||||
\(506\) | −7.46186 | − | 2.58042i | −0.331720 | − | 0.114714i | ||||
\(507\) | 14.1307 | − | 17.5306i | 0.627569 | − | 0.778561i | ||||
\(508\) | −0.0572245 | + | 0.0728442i | −0.00253893 | + | 0.00323194i | ||||
\(509\) | 10.8221 | + | 6.24813i | 0.479681 | + | 0.276944i | 0.720283 | − | 0.693680i | \(-0.244012\pi\) |
−0.240603 | + | 0.970624i | \(0.577345\pi\) | |||||||
\(510\) | −1.02817 | + | 6.83073i | −0.0455280 | + | 0.302470i | ||||
\(511\) | −13.9014 | + | 8.02596i | −0.614960 | + | 0.355048i | ||||
\(512\) | 22.3896 | − | 3.27227i | 0.989488 | − | 0.144615i | ||||
\(513\) | 10.6094 | + | 5.74882i | 0.468416 | + | 0.253816i | ||||
\(514\) | 3.12012 | − | 0.602189i | 0.137622 | − | 0.0265614i | ||||
\(515\) | 5.77579 | 0.254512 | ||||||||
\(516\) | 33.9573 | − | 21.5200i | 1.49489 | − | 0.947366i | ||||
\(517\) | 6.75536 | − | 11.7006i | 0.297100 | − | 0.514593i | ||||
\(518\) | 1.45686 | + | 1.68043i | 0.0640108 | + | 0.0738338i | ||||
\(519\) | 6.43139 | + | 7.52589i | 0.282307 | + | 0.330350i | ||||
\(520\) | 14.6523 | − | 2.07961i | 0.642544 | − | 0.0911971i | ||||
\(521\) | 29.9861i | 1.31371i | 0.754015 | + | 0.656857i | \(0.228115\pi\) | ||||
−0.754015 | + | 0.656857i | \(0.771885\pi\) | |||||||
\(522\) | −31.1103 | + | 19.4068i | −1.36166 | + | 0.849413i | ||||
\(523\) | 23.4541 | + | 13.5412i | 1.02558 | + | 0.592117i | 0.915714 | − | 0.401830i | \(-0.131626\pi\) |
0.109862 | + | 0.993947i | \(0.464959\pi\) | |||||||
\(524\) | 4.20173 | − | 29.3312i | 0.183553 | − | 1.28134i | ||||
\(525\) | −4.43483 | − | 5.18955i | −0.193552 | − | 0.226491i | ||||
\(526\) | −1.74416 | − | 9.03699i | −0.0760489 | − | 0.394031i | ||||
\(527\) | 6.37349 | + | 11.0392i | 0.277634 | + | 0.480876i | ||||
\(528\) | −7.99775 | − | 5.76567i | −0.348057 | − | 0.250919i | ||||
\(529\) | 3.80451 | + | 6.58960i | 0.165413 | + | 0.286505i | ||||
\(530\) | 15.2078 | − | 13.1845i | 0.660584 | − | 0.572698i | ||||
\(531\) | −12.9941 | − | 10.5103i | −0.563897 | − | 0.456108i | ||||
\(532\) | −4.97375 | − | 3.90724i | −0.215639 | − | 0.169401i | ||||
\(533\) | −8.48643 | − | 11.9830i | −0.367588 | − | 0.519040i | ||||
\(534\) | 4.86634 | + | 12.3919i | 0.210587 | + | 0.536251i | ||||
\(535\) | −0.251061 | − | 0.144950i | −0.0108543 | − | 0.00626674i | ||||
\(536\) | −1.73050 | − | 35.7448i | −0.0747460 | − | 1.54394i | ||||
\(537\) | 1.05362 | + | 0.372773i | 0.0454672 | + | 0.0160863i | ||||
\(538\) | 0.808367 | − | 2.33758i | 0.0348512 | − | 0.100780i | ||||
\(539\) | −3.66121 | − | 6.34140i | −0.157699 | − | 0.273144i | ||||
\(540\) | 5.98849 | + | 13.8411i | 0.257703 | + | 0.595624i | ||||
\(541\) | 0.588868 | 0.0253174 | 0.0126587 | − | 0.999920i | \(-0.495970\pi\) | ||||
0.0126587 | + | 0.999920i | \(0.495970\pi\) | |||||||
\(542\) | −3.38672 | + | 0.653645i | −0.145472 | + | 0.0280764i | ||||
\(543\) | −6.18021 | − | 33.2930i | −0.265218 | − | 1.42874i | ||||
\(544\) | 6.36495 | − | 8.96279i | 0.272895 | − | 0.384276i | ||||
\(545\) | 15.8653i | 0.679593i | ||||||||
\(546\) | −10.0577 | − | 6.59501i | −0.430431 | − | 0.282240i | ||||
\(547\) | 3.02854i | 0.129491i | 0.997902 | + | 0.0647455i | \(0.0206235\pi\) | ||||
−0.997902 | + | 0.0647455i | \(0.979376\pi\) | |||||||
\(548\) | 0.505081 | + | 1.25975i | 0.0215760 | + | 0.0538137i | ||||
\(549\) | 22.9603 | + | 18.5714i | 0.979921 | + | 0.792609i | ||||
\(550\) | 1.10377 | + | 5.71894i | 0.0470648 | + | 0.243856i | ||||
\(551\) | 20.0702 | 0.855018 | ||||||||
\(552\) | −4.41743 | − | 18.7048i | −0.188018 | − | 0.796129i | ||||
\(553\) | 4.91372 | + | 8.51082i | 0.208953 | + | 0.361917i | ||||
\(554\) | −3.93337 | − | 1.36021i | −0.167113 | − | 0.0577900i | ||||
\(555\) | −0.968140 | + | 2.73640i | −0.0410953 | + | 0.116154i | ||||
\(556\) | 10.1975 | + | 25.4341i | 0.432471 | + | 1.07865i | ||||
\(557\) | 33.7210 | + | 19.4688i | 1.42880 | + | 0.824920i | 0.997026 | − | 0.0770607i | \(-0.0245535\pi\) |
0.431777 | + | 0.901981i | \(0.357887\pi\) | |||||||
\(558\) | 24.5620 | + | 13.0840i | 1.03979 | + | 0.553888i | ||||
\(559\) | −41.6644 | + | 3.86981i | −1.76222 | + | 0.163676i | ||||
\(560\) | −1.87157 | − | 7.68009i | −0.0790884 | − | 0.324543i | ||||
\(561\) | −4.70945 | + | 0.874218i | −0.198833 | + | 0.0369095i | ||||
\(562\) | −20.4091 | − | 23.5411i | −0.860906 | − | 0.993020i | ||||
\(563\) | −1.70846 | − | 2.95914i | −0.0720031 | − | 0.124713i | 0.827776 | − | 0.561059i | \(-0.189606\pi\) |
−0.899779 | + | 0.436346i | \(0.856272\pi\) | |||||||
\(564\) | 32.8603 | − | 1.35654i | 1.38367 | − | 0.0571205i | ||||
\(565\) | 14.0189 | + | 24.2815i | 0.589781 | + | 1.02153i | ||||
\(566\) | −2.26156 | + | 0.436486i | −0.0950605 | + | 0.0183469i | ||||
\(567\) | 3.77423 | − | 11.6606i | 0.158503 | − | 0.489701i | ||||
\(568\) | −15.2537 | + | 29.6445i | −0.640033 | + | 1.24386i | ||||
\(569\) | 1.78689 | + | 1.03166i | 0.0749102 | + | 0.0432494i | 0.536987 | − | 0.843590i | \(-0.319562\pi\) |
−0.462077 | + | 0.886840i | \(0.652896\pi\) | |||||||
\(570\) | 1.22868 | − | 8.16282i | 0.0514636 | − | 0.341903i | ||||
\(571\) | 21.1671i | 0.885817i | 0.896567 | + | 0.442909i | \(0.146053\pi\) | ||||
−0.896567 | + | 0.442909i | \(0.853947\pi\) | |||||||
\(572\) | 4.68342 | + | 9.13089i | 0.195824 | + | 0.381782i | ||||
\(573\) | 4.24476 | − | 3.62744i | 0.177327 | − | 0.151538i | ||||
\(574\) | −5.92617 | + | 5.13773i | −0.247353 | + | 0.214445i | ||||
\(575\) | −5.67698 | + | 9.83281i | −0.236746 | + | 0.410057i | ||||
\(576\) | 1.43353 | − | 23.9571i | 0.0597305 | − | 0.998215i | ||||
\(577\) | −14.3616 | −0.597882 | −0.298941 | − | 0.954272i | \(-0.596633\pi\) | ||||
−0.298941 | + | 0.954272i | \(0.596633\pi\) | |||||||
\(578\) | 3.54393 | + | 18.3622i | 0.147408 | + | 0.763765i | ||||
\(579\) | 7.95292 | + | 2.81375i | 0.330512 | + | 0.116936i | ||||
\(580\) | 19.7250 | + | 15.4954i | 0.819035 | + | 0.643412i | ||||
\(581\) | 1.02597 | − | 0.592344i | 0.0425644 | − | 0.0245746i | ||||
\(582\) | −3.81185 | + | 25.3244i | −0.158006 | + | 1.04973i | ||||
\(583\) | 12.0868 | + | 6.97830i | 0.500583 | + | 0.289012i | ||||
\(584\) | 18.0463 | + | 28.0329i | 0.746763 | + | 1.16001i | ||||
\(585\) | 1.00236 | − | 15.6648i | 0.0414423 | − | 0.647659i | ||||
\(586\) | 11.4317 | − | 33.0573i | 0.472238 | − | 1.36558i | ||||
\(587\) | −10.4363 | + | 18.0762i | −0.430753 | + | 0.746086i | −0.996938 | − | 0.0781919i | \(-0.975085\pi\) |
0.566185 | + | 0.824278i | \(0.308419\pi\) | |||||||
\(588\) | 8.26796 | − | 15.7909i | 0.340965 | − | 0.651207i | ||||
\(589\) | −7.61642 | − | 13.1920i | −0.313829 | − | 0.543568i | ||||
\(590\) | −3.73656 | + | 10.8051i | −0.153832 | + | 0.444839i | ||||
\(591\) | −11.5519 | + | 32.6509i | −0.475183 | + | 1.34308i | ||||
\(592\) | 3.33980 | − | 3.19109i | 0.137265 | − | 0.131153i | ||||
\(593\) | − | 30.4844i | − | 1.25185i | −0.779885 | − | 0.625923i | \(-0.784722\pi\) | ||
0.779885 | − | 0.625923i | \(-0.215278\pi\) | |||||||
\(594\) | −7.71343 | + | 7.06122i | −0.316486 | + | 0.289725i | ||||
\(595\) | −3.32584 | − | 1.92018i | −0.136346 | − | 0.0787195i | ||||
\(596\) | 1.97148 | + | 4.91716i | 0.0807551 | + | 0.201415i | ||||
\(597\) | −23.1632 | − | 27.1052i | −0.948008 | − | 1.10934i | ||||
\(598\) | −4.76137 | + | 19.4292i | −0.194707 | + | 0.794520i | ||||
\(599\) | 35.9625 | 1.46939 | 0.734693 | − | 0.678399i | \(-0.237326\pi\) | ||||
0.734693 | + | 0.678399i | \(0.237326\pi\) | |||||||
\(600\) | −10.3205 | + | 9.72144i | −0.421334 | + | 0.396876i | ||||
\(601\) | −1.50476 | + | 2.60631i | −0.0613803 | + | 0.106314i | −0.895083 | − | 0.445900i | \(-0.852884\pi\) |
0.833702 | + | 0.552214i | \(0.186217\pi\) | |||||||
\(602\) | 4.23554 | + | 21.9455i | 0.172628 | + | 0.894434i | ||||
\(603\) | −37.4935 | − | 5.91671i | −1.52685 | − | 0.240947i | ||||
\(604\) | −11.9830 | − | 1.71657i | −0.487580 | − | 0.0698463i | ||||
\(605\) | −11.2792 | + | 6.51203i | −0.458563 | + | 0.264751i | ||||
\(606\) | 0.256367 | + | 0.652829i | 0.0104142 | + | 0.0265194i | ||||
\(607\) | 11.5225 | − | 6.65251i | 0.467683 | − | 0.270017i | −0.247586 | − | 0.968866i | \(-0.579637\pi\) |
0.715269 | + | 0.698849i | \(0.246304\pi\) | |||||||
\(608\) | −7.60621 | + | 10.7107i | −0.308472 | + | 0.434375i | ||||
\(609\) | −3.72056 | − | 20.0428i | −0.150765 | − | 0.812175i | ||||
\(610\) | 6.60241 | − | 19.0924i | 0.267324 | − | 0.773027i | ||||
\(611\) | −31.1009 | − | 14.3006i | −1.25821 | − | 0.578540i | ||||
\(612\) | −7.93406 | − | 8.54402i | −0.320716 | − | 0.345372i | ||||
\(613\) | 12.0657 | − | 20.8984i | 0.487328 | − | 0.844078i | −0.512565 | − | 0.858648i | \(-0.671305\pi\) |
0.999894 | + | 0.0145706i | \(0.00463813\pi\) | |||||||
\(614\) | 16.5376 | + | 19.0754i | 0.667402 | + | 0.769821i | ||||
\(615\) | −9.65012 | − | 3.41422i | −0.389130 | − | 0.137675i | ||||
\(616\) | 4.60891 | − | 2.96701i | 0.185698 | − | 0.119544i | ||||
\(617\) | 13.0385 | − | 7.52776i | 0.524909 | − | 0.303056i | −0.214032 | − | 0.976827i | \(-0.568660\pi\) |
0.738941 | + | 0.673771i | \(0.235326\pi\) | |||||||
\(618\) | −6.07699 | + | 7.62344i | −0.244452 | + | 0.306660i | ||||
\(619\) | − | 22.1637i | − | 0.890836i | −0.895323 | − | 0.445418i | \(-0.853055\pi\) | ||
0.895323 | − | 0.445418i | \(-0.146945\pi\) | |||||||
\(620\) | 2.69964 | − | 18.8455i | 0.108420 | − | 0.756853i | ||||
\(621\) | −20.3778 | + | 0.550864i | −0.817731 | + | 0.0221054i | ||||
\(622\) | −4.41331 | + | 3.82615i | −0.176958 | + | 0.153415i | ||||
\(623\) | −7.40153 | −0.296536 | ||||||||
\(624\) | −12.6715 | + | 21.5275i | −0.507265 | + | 0.861790i | ||||
\(625\) | −2.15366 | −0.0861463 | ||||||||
\(626\) | −19.1701 | + | 16.6197i | −0.766193 | + | 0.664256i | ||||
\(627\) | 5.62786 | − | 1.04470i | 0.224755 | − | 0.0417214i | ||||
\(628\) | −0.456557 | + | 3.18711i | −0.0182186 | + | 0.127179i | ||||
\(629\) | − | 2.24413i | − | 0.0894793i | ||||||
\(630\) | −8.37947 | + | 0.286205i | −0.333846 | + | 0.0114027i | ||||
\(631\) | 29.9457 | − | 17.2892i | 1.19212 | − | 0.688271i | 0.233333 | − | 0.972397i | \(-0.425037\pi\) |
0.958787 | + | 0.284126i | \(0.0917033\pi\) | |||||||
\(632\) | 17.1625 | − | 11.0485i | 0.682689 | − | 0.439485i | ||||
\(633\) | 6.84306 | − | 19.3415i | 0.271987 | − | 0.768758i | ||||
\(634\) | −8.65054 | − | 9.97805i | −0.343557 | − | 0.396279i | ||||
\(635\) | 0.0336067 | − | 0.0582085i | 0.00133364 | − | 0.00230993i | ||||
\(636\) | 1.40130 | + | 33.9447i | 0.0555653 | + | 1.34600i | ||||
\(637\) | −15.1400 | + | 10.7223i | −0.599870 | + | 0.424833i | ||||
\(638\) | −5.68455 | + | 16.4382i | −0.225054 | + | 0.650794i | ||||
\(639\) | 27.4933 | + | 22.2380i | 1.08762 | + | 0.879720i | ||||
\(640\) | −15.7447 | + | 4.65399i | −0.622363 | + | 0.183965i | ||||
\(641\) | 27.0484 | − | 15.6164i | 1.06835 | − | 0.616811i | 0.140618 | − | 0.990064i | \(-0.455091\pi\) |
0.927729 | + | 0.373253i | \(0.121758\pi\) | |||||||
\(642\) | 0.455472 | − | 0.178865i | 0.0179761 | − | 0.00705924i | ||||
\(643\) | 26.1033 | − | 15.0708i | 1.02941 | − | 0.594333i | 0.112598 | − | 0.993641i | \(-0.464083\pi\) |
0.916817 | + | 0.399308i | \(0.130750\pi\) | |||||||
\(644\) | 10.5771 | + | 1.51518i | 0.416796 | + | 0.0597065i | ||||
\(645\) | −22.1758 | + | 18.9507i | −0.873170 | + | 0.746183i | ||||
\(646\) | 1.20944 | + | 6.26646i | 0.0475848 | + | 0.246551i | ||||
\(647\) | −16.2728 | + | 28.1853i | −0.639749 | + | 1.10808i | 0.345739 | + | 0.938331i | \(0.387628\pi\) |
−0.985488 | + | 0.169746i | \(0.945705\pi\) | |||||||
\(648\) | −24.5695 | − | 6.65868i | −0.965182 | − | 0.261578i | ||||
\(649\) | −7.92780 | −0.311193 | ||||||||
\(650\) | 14.1690 | − | 4.12460i | 0.555752 | − | 0.161780i | ||||
\(651\) | −11.7621 | + | 10.0515i | −0.460994 | + | 0.393951i | ||||
\(652\) | 6.15993 | + | 15.3638i | 0.241242 | + | 0.601691i | ||||
\(653\) | −33.5075 | − | 19.3456i | −1.31125 | − | 0.757051i | −0.328948 | − | 0.944348i | \(-0.606694\pi\) |
−0.982303 | + | 0.187297i | \(0.940027\pi\) | |||||||
\(654\) | −20.9405 | − | 16.6926i | −0.818838 | − | 0.652733i | ||||
\(655\) | 21.4996i | 0.840058i | ||||||||
\(656\) | 11.2536 | + | 11.7781i | 0.439380 | + | 0.459857i | ||||
\(657\) | 33.0059 | − | 12.6911i | 1.28768 | − | 0.495128i | ||||
\(658\) | −5.97577 | + | 17.2803i | −0.232960 | + | 0.673656i | ||||
\(659\) | 2.41263 | + | 4.17880i | 0.0939827 | + | 0.162783i | 0.909184 | − | 0.416396i | \(-0.136707\pi\) |
−0.815201 | + | 0.579178i | \(0.803374\pi\) | |||||||
\(660\) | 6.33764 | + | 3.31832i | 0.246692 | + | 0.129165i | ||||
\(661\) | 8.98655 | − | 15.5652i | 0.349536 | − | 0.605414i | −0.636631 | − | 0.771169i | \(-0.719673\pi\) |
0.986167 | + | 0.165754i | \(0.0530058\pi\) | |||||||
\(662\) | −5.22579 | + | 15.1116i | −0.203106 | + | 0.587328i | ||||
\(663\) | 3.30896 | + | 11.6760i | 0.128509 | + | 0.453459i | ||||
\(664\) | −1.33188 | − | 2.06893i | −0.0516871 | − | 0.0802899i | ||||
\(665\) | 3.97443 | + | 2.29464i | 0.154122 | + | 0.0889823i | ||||
\(666\) | −2.59313 | − | 4.15694i | −0.100482 | − | 0.161078i | ||||
\(667\) | −29.3632 | + | 16.9529i | −1.13695 | + | 0.656417i | ||||
\(668\) | −15.4943 | − | 12.1719i | −0.599493 | − | 0.470945i | ||||
\(669\) | −4.78475 | + | 13.5238i | −0.184989 | + | 0.522862i | ||||
\(670\) | 4.92074 | + | 25.4958i | 0.190105 | + | 0.984987i | ||||
\(671\) | 14.0082 | 0.540781 | ||||||||
\(672\) | 12.1061 | + | 5.61032i | 0.467002 | + | 0.216423i | ||||
\(673\) | −6.18226 | + | 10.7080i | −0.238309 | + | 0.412763i | −0.960229 | − | 0.279213i | \(-0.909926\pi\) |
0.721920 | + | 0.691976i | \(0.243260\pi\) | |||||||
\(674\) | −12.8720 | + | 11.1595i | −0.495810 | + | 0.429846i | ||||
\(675\) | 7.86828 | + | 12.8155i | 0.302850 | + | 0.493270i | ||||
\(676\) | 21.9378 | − | 13.9547i | 0.843760 | − | 0.536720i | ||||
\(677\) | 7.18904i | 0.276297i | 0.990411 | + | 0.138149i | \(0.0441152\pi\) | ||||
−0.990411 | + | 0.138149i | \(0.955885\pi\) | |||||||
\(678\) | −46.7991 | − | 7.04423i | −1.79731 | − | 0.270532i | ||||
\(679\) | −12.3303 | − | 7.11890i | −0.473194 | − | 0.273198i | ||||
\(680\) | −3.64946 | + | 7.09245i | −0.139950 | + | 0.271983i | ||||
\(681\) | −32.2114 | + | 27.5269i | −1.23435 | + | 1.05483i | ||||
\(682\) | 12.9620 | − | 2.50169i | 0.496340 | − | 0.0957946i | ||||
\(683\) | −2.33802 | − | 4.04957i | −0.0894618 | − | 0.154952i | 0.817822 | − | 0.575471i | \(-0.195181\pi\) |
−0.907284 | + | 0.420519i | \(0.861848\pi\) | |||||||
\(684\) | 9.48133 | + | 10.2102i | 0.362528 | + | 0.390398i | ||||
\(685\) | −0.492392 | − | 0.852849i | −0.0188133 | − | 0.0325857i | ||||
\(686\) | 15.3223 | + | 17.6736i | 0.585007 | + | 0.674782i | ||||
\(687\) | −0.519491 | − | 2.79852i | −0.0198198 | − | 0.106770i | ||||
\(688\) | 45.1015 | − | 10.9909i | 1.71948 | − | 0.419023i | ||||
\(689\) | 14.7725 | − | 32.1273i | 0.562789 | − | 1.22395i | ||||
\(690\) | 5.09738 | + | 12.9803i | 0.194054 | + | 0.494151i | ||||
\(691\) | −7.68926 | − | 4.43940i | −0.292513 | − | 0.168883i | 0.346561 | − | 0.938027i | \(-0.387349\pi\) |
−0.639075 | + | 0.769145i | \(0.720683\pi\) | |||||||
\(692\) | 4.25398 | + | 10.6100i | 0.161712 | + | 0.403333i | ||||
\(693\) | −2.08656 | − | 5.42652i | −0.0792618 | − | 0.206137i | ||||
\(694\) | 45.5867 | + | 15.7645i | 1.73045 | + | 0.598413i | ||||
\(695\) | −9.94133 | − | 17.2189i | −0.377096 | − | 0.653149i | ||||
\(696\) | −41.2059 | + | 9.73143i | −1.56191 | + | 0.368869i | ||||
\(697\) | 7.91410 | 0.299768 | ||||||||
\(698\) | −6.43992 | − | 33.3671i | −0.243754 | − | 1.26296i | ||||
\(699\) | 12.0765 | − | 2.24178i | 0.456776 | − | 0.0847917i | ||||
\(700\) | −2.93337 | − | 7.31626i | −0.110871 | − | 0.276528i | ||||
\(701\) | − | 47.4827i | − | 1.79340i | −0.442643 | − | 0.896698i | \(-0.645959\pi\) | ||
0.442643 | − | 0.896698i | \(-0.354041\pi\) | |||||||
\(702\) | 19.6212 | + | 17.8047i | 0.740556 | + | 0.671995i | ||||
\(703\) | 2.68177i | 0.101145i | ||||||||
\(704\) | −6.61808 | − | 9.26338i | −0.249428 | − | 0.349127i | ||||
\(705\) | −23.4624 | + | 4.35535i | −0.883646 | + | 0.164032i | ||||
\(706\) | 18.8954 | − | 3.64685i | 0.711137 | − | 0.137251i | ||||
\(707\) | −0.389926 | −0.0146647 | ||||||||
\(708\) | −10.3302 | − | 16.3005i | −0.388233 | − | 0.612609i | ||||
\(709\) | 11.7670 | + | 20.3811i | 0.441921 | + | 0.765429i | 0.997832 | − | 0.0658124i | \(-0.0209639\pi\) |
−0.555911 | + | 0.831242i | \(0.687631\pi\) | |||||||
\(710\) | 7.90592 | − | 22.8617i | 0.296704 | − | 0.857986i | ||||
\(711\) | −7.76988 | − | 20.2071i | −0.291393 | − | 0.757827i | ||||
\(712\) | 0.743363 | + | 15.3548i | 0.0278587 | + | 0.575445i | ||||
\(713\) | 22.2861 | + | 12.8669i | 0.834620 | + | 0.481868i | ||||
\(714\) | 6.03371 | − | 2.36945i | 0.225806 | − | 0.0886746i | ||||
\(715\) | −4.30336 | − | 6.07641i | −0.160937 | − | 0.227245i | ||||
\(716\) | 1.01483 | + | 0.797222i | 0.0379259 | + | 0.0297936i | ||||
\(717\) | −8.80785 | − | 47.4482i | −0.328935 | − | 1.77199i | ||||
\(718\) | 1.94288 | − | 1.68440i | 0.0725077 | − | 0.0628611i | ||||
\(719\) | 2.84590 | + | 4.92924i | 0.106134 | + | 0.183830i | 0.914201 | − | 0.405261i | \(-0.132819\pi\) |
−0.808067 | + | 0.589091i | \(0.799486\pi\) | |||||||
\(720\) | 1.43533 | + | 17.3548i | 0.0534914 | + | 0.646775i | ||||
\(721\) | −2.71005 | − | 4.69395i | −0.100928 | − | 0.174812i | ||||
\(722\) | 3.64671 | + | 18.8947i | 0.135716 | + | 0.703186i | ||||
\(723\) | −18.2172 | + | 15.5678i | −0.677504 | + | 0.578973i | ||||
\(724\) | 5.54455 | − | 38.7051i | 0.206062 | − | 1.43846i | ||||
\(725\) | 21.6613 | + | 12.5062i | 0.804480 | + | 0.464467i | ||||
\(726\) | 3.27216 | − | 21.7389i | 0.121441 | − | 0.806807i | ||||
\(727\) | − | 10.6105i | − | 0.393521i | −0.980452 | − | 0.196761i | \(-0.936958\pi\) | ||
0.980452 | − | 0.196761i | \(-0.0630422\pi\) | |||||||
\(728\) | −8.56505 | − | 10.9320i | −0.317442 | − | 0.405167i | ||||
\(729\) | −12.2170 | + | 24.0779i | −0.452482 | + | 0.891774i | ||||
\(730\) | −15.8462 | − | 18.2779i | −0.586493 | − | 0.676496i | ||||
\(731\) | 11.2763 | − | 19.5311i | 0.417069 | − | 0.722384i | ||||
\(732\) | 18.2532 | + | 28.8025i | 0.674658 | + | 1.06457i | ||||
\(733\) | −35.5390 | −1.31266 | −0.656331 | − | 0.754473i | \(-0.727893\pi\) | ||||
−0.656331 | + | 0.754473i | \(0.727893\pi\) | |||||||
\(734\) | −10.1990 | + | 1.96842i | −0.376450 | + | 0.0726557i | ||||
\(735\) | −4.31375 | + | 12.1926i | −0.159115 | + | 0.449730i | ||||
\(736\) | 2.08101 | − | 22.0948i | 0.0767070 | − | 0.814426i | ||||
\(737\) | −15.5932 | + | 9.00273i | −0.574382 | + | 0.331620i | ||||
\(738\) | 14.6598 | − | 9.14488i | 0.539634 | − | 0.336628i | ||||
\(739\) | 25.5721 | + | 14.7640i | 0.940684 | + | 0.543104i | 0.890175 | − | 0.455619i | \(-0.150582\pi\) |
0.0505093 | + | 0.998724i | \(0.483916\pi\) | |||||||
\(740\) | −2.07049 | + | 2.63564i | −0.0761128 | + | 0.0968882i | ||||
\(741\) | −3.95425 | − | 13.9530i | −0.145263 | − | 0.512577i | ||||
\(742\) | −17.8506 | − | 6.17298i | −0.655315 | − | 0.226617i | ||||
\(743\) | 11.1127 | − | 19.2478i | 0.407687 | − | 0.706135i | −0.586943 | − | 0.809628i | \(-0.699669\pi\) |
0.994630 | + | 0.103493i | \(0.0330021\pi\) | |||||||
\(744\) | 22.0337 | + | 23.3915i | 0.807793 | + | 0.857574i | ||||
\(745\) | −1.92195 | − | 3.32892i | −0.0704149 | − | 0.121962i | ||||
\(746\) | −15.4158 | − | 5.33100i | −0.564413 | − | 0.195182i | ||||
\(747\) | −2.43595 | + | 0.936651i | −0.0891268 | + | 0.0342703i | ||||
\(748\) | −5.47501 | − | 0.784301i | −0.200186 | − | 0.0286769i | ||||
\(749\) | 0.272047i | 0.00994039i | ||||||||
\(750\) | 17.4911 | − | 21.9422i | 0.638685 | − | 0.801215i | ||||
\(751\) | −24.7339 | − | 14.2801i | −0.902551 | − | 0.521088i | −0.0245243 | − | 0.999699i | \(-0.507807\pi\) |
−0.878027 | + | 0.478611i | \(0.841140\pi\) | |||||||
\(752\) | 36.4488 | + | 10.6615i | 1.32915 | + | 0.388783i | ||||
\(753\) | −8.42490 | + | 7.19966i | −0.307020 | + | 0.262370i | ||||
\(754\) | 42.8018 | + | 10.4891i | 1.55875 | + | 0.381991i | ||||
\(755\) | 8.78342 | 0.319661 | ||||||||
\(756\) | 8.43869 | − | 11.3612i | 0.306912 | − | 0.413201i | ||||
\(757\) | −9.98651 | + | 17.2972i | −0.362966 | + | 0.628676i | −0.988448 | − | 0.151563i | \(-0.951569\pi\) |
0.625481 | + | 0.780239i | \(0.284903\pi\) | |||||||
\(758\) | −10.1358 | + | 1.95624i | −0.368150 | + | 0.0710538i | ||||
\(759\) | −7.35127 | + | 6.28217i | −0.266834 | + | 0.228028i | ||||
\(760\) | 4.36116 | − | 8.47558i | 0.158196 | − | 0.307442i | ||||
\(761\) | 1.36051 | − | 0.785488i | 0.0493183 | − | 0.0284739i | −0.475138 | − | 0.879911i | \(-0.657602\pi\) |
0.524456 | + | 0.851437i | \(0.324269\pi\) | |||||||
\(762\) | 0.0414699 | + | 0.105601i | 0.00150230 | + | 0.00382553i | ||||
\(763\) | 12.8936 | − | 7.44412i | 0.466780 | − | 0.269495i | ||||
\(764\) | 5.98428 | − | 2.39933i | 0.216503 | − | 0.0868047i | ||||
\(765\) | 6.57777 | + | 5.32043i | 0.237820 | + | 0.192361i | ||||
\(766\) | 18.5333 | + | 6.40909i | 0.669636 | + | 0.231570i | ||||
\(767\) | 1.85762 | + | 20.0000i | 0.0670746 | + | 0.722160i | ||||
\(768\) | 10.4230 | − | 25.6780i | 0.376107 | − | 0.926576i | ||||
\(769\) | 22.9211 | − | 39.7005i | 0.826557 | − | 1.43164i | −0.0741669 | − | 0.997246i | \(-0.523630\pi\) |
0.900724 | − | 0.434393i | \(-0.143037\pi\) | |||||||
\(770\) | −3.00509 | + | 2.60528i | −0.108296 | + | 0.0938878i | ||||
\(771\) | 1.29810 | − | 3.66900i | 0.0467498 | − | 0.132136i | ||||
\(772\) | 7.66010 | + | 6.01756i | 0.275693 | + | 0.216577i | ||||
\(773\) | −44.9299 | + | 25.9403i | −1.61602 | + | 0.933007i | −0.628079 | + | 0.778149i | \(0.716159\pi\) |
−0.987937 | + | 0.154858i | \(0.950508\pi\) | |||||||
\(774\) | −1.68075 | − | 49.2087i | −0.0604133 | − | 1.76877i | ||||
\(775\) | − | 18.9838i | − | 0.681919i | ||||||
\(776\) | −13.5301 | + | 26.2947i | −0.485701 | + | 0.943925i | ||||
\(777\) | 2.67811 | − | 0.497140i | 0.0960767 | − | 0.0178348i | ||||
\(778\) | 20.4065 | + | 23.5380i | 0.731607 | + | 0.843879i | ||||
\(779\) | −9.45746 | −0.338849 | ||||||||
\(780\) | 6.88636 | − | 16.7660i | 0.246571 | − | 0.600318i | ||||
\(781\) | 16.7739 | 0.600216 | ||||||||
\(782\) | −7.06259 | − | 8.14642i | −0.252558 | − | 0.291315i | ||||
\(783\) | 1.21353 | + | 44.8914i | 0.0433681 | + | 1.60429i | ||||
\(784\) | 14.8812 | − | 14.2186i | 0.531471 | − | 0.507806i | ||||
\(785\) | − | 2.33613i | − | 0.0833799i | ||||||
\(786\) | −28.3772 | − | 22.6207i | −1.01218 | − | 0.806855i | ||||
\(787\) | −36.9706 | + | 21.3450i | −1.31786 | + | 0.760867i | −0.983384 | − | 0.181537i | \(-0.941893\pi\) |
−0.334476 | + | 0.942404i | \(0.608559\pi\) | |||||||
\(788\) | −24.7053 | + | 31.4487i | −0.880089 | + | 1.12031i | ||||
\(789\) | −10.6268 | − | 3.75976i | −0.378323 | − | 0.133851i | ||||
\(790\) | −11.1903 | + | 9.70148i | −0.398132 | + | 0.345163i | ||||
\(791\) | 13.1556 | − | 22.7862i | 0.467760 | − | 0.810184i | ||||
\(792\) | −11.0480 | + | 4.87366i | −0.392573 | + | 0.173178i | ||||
\(793\) | −3.28236 | − | 35.3396i | −0.116560 | − | 1.25495i | ||||
\(794\) | −8.51744 | − | 2.94545i | −0.302272 | − | 0.104530i | ||||
\(795\) | −4.49908 | − | 24.2367i | −0.159566 | − | 0.859589i | ||||
\(796\) | −15.3211 | − | 38.2130i | −0.543041 | − | 1.35442i | ||||
\(797\) | −16.1568 | + | 9.32816i | −0.572305 | + | 0.330420i | −0.758069 | − | 0.652174i | \(-0.773857\pi\) |
0.185765 | + | 0.982594i | \(0.440524\pi\) | |||||||
\(798\) | −7.21038 | + | 2.83153i | −0.255245 | + | 0.100235i | ||||
\(799\) | 15.9779 | − | 9.22482i | 0.565256 | − | 0.326351i | ||||
\(800\) | −14.8833 | + | 6.82020i | −0.526203 | + | 0.241130i | ||||
\(801\) | 16.1060 | + | 2.54162i | 0.569076 | + | 0.0898038i | ||||
\(802\) | −29.9807 | + | 5.78634i | −1.05866 | + | 0.204323i | ||||
\(803\) | 8.38707 | − | 14.5268i | 0.295973 | − | 0.512641i | ||||
\(804\) | −38.8291 | − | 20.3305i | −1.36940 | − | 0.717001i | ||||
\(805\) | −7.75294 | −0.273255 | ||||||||
\(806\) | −9.34840 | − | 32.1139i | −0.329283 | − | 1.13117i | ||||
\(807\) | −1.96801 | − | 2.30293i | −0.0692773 | − | 0.0810670i | ||||
\(808\) | 0.0391617 | + | 0.808917i | 0.00137770 | + | 0.0284576i | ||||
\(809\) | −8.94802 | − | 5.16614i | −0.314596 | − | 0.181632i | 0.334385 | − | 0.942436i | \(-0.391471\pi\) |
−0.648981 | + | 0.760804i | \(0.724805\pi\) | |||||||
\(810\) | 18.3323 | + | 2.25465i | 0.644130 | + | 0.0792202i | ||||
\(811\) | − | 44.1909i | − | 1.55175i | −0.630885 | − | 0.775877i | \(-0.717308\pi\) | ||
0.630885 | − | 0.775877i | \(-0.282692\pi\) | |||||||
\(812\) | 3.33788 | − | 23.3009i | 0.117137 | − | 0.817703i | ||||
\(813\) | −1.40902 | + | 3.98251i | −0.0494164 | + | 0.139673i | ||||
\(814\) | −2.19646 | − | 0.759568i | −0.0769860 | − | 0.0266228i | ||||
\(815\) | −6.00518 | − | 10.4013i | −0.210352 | − | 0.364341i | ||||
\(816\) | −5.52152 | − | 12.2792i | −0.193292 | − | 0.429858i | ||||
\(817\) | −13.4753 | + | 23.3400i | −0.471442 | + | 0.816562i | ||||
\(818\) | 21.5860 | + | 7.46475i | 0.754737 | + | 0.260999i | ||||
\(819\) | −13.2010 | + | 6.53544i | −0.461279 | + | 0.228367i | ||||
\(820\) | −9.29481 | − | 7.30175i | −0.324589 | − | 0.254988i | ||||
\(821\) | 28.5991 | + | 16.5117i | 0.998116 | + | 0.576262i | 0.907690 | − | 0.419641i | \(-0.137844\pi\) |
0.0904253 | + | 0.995903i | \(0.471177\pi\) | |||||||
\(822\) | 1.64374 | + | 0.247417i | 0.0573321 | + | 0.00862967i | ||||
\(823\) | −14.3662 | + | 8.29430i | −0.500773 | + | 0.289121i | −0.729033 | − | 0.684479i | \(-0.760030\pi\) |
0.228260 | + | 0.973600i | \(0.426696\pi\) | |||||||
\(824\) | −9.46560 | + | 6.09354i | −0.329750 | + | 0.212279i | ||||
\(825\) | 6.72500 | + | 2.37931i | 0.234135 | + | 0.0828371i | ||||
\(826\) | 10.5345 | − | 2.03317i | 0.366541 | − | 0.0707432i | ||||
\(827\) | 21.2504 | 0.738949 | 0.369475 | − | 0.929241i | \(-0.379538\pi\) | ||||
0.369475 | + | 0.929241i | \(0.379538\pi\) | |||||||
\(828\) | −22.4958 | − | 6.92917i | −0.781784 | − | 0.240805i | ||||
\(829\) | −1.70231 | + | 2.94849i | −0.0591238 | + | 0.102405i | −0.894072 | − | 0.447923i | \(-0.852164\pi\) |
0.834949 | + | 0.550328i | \(0.185497\pi\) | |||||||
\(830\) | 1.16950 | + | 1.34897i | 0.0405941 | + | 0.0468236i | ||||
\(831\) | −3.87507 | + | 3.31152i | −0.134425 | + | 0.114875i | ||||
\(832\) | −21.8187 | + | 18.8665i | −0.756427 | + | 0.654078i | ||||
\(833\) | − | 9.99918i | − | 0.346451i | ||||||
\(834\) | 33.1869 | + | 4.99532i | 1.14917 | + | 0.172974i | ||||
\(835\) | 12.3812 | + | 7.14830i | 0.428470 | + | 0.247377i | ||||
\(836\) | 6.54272 | + | 0.937251i | 0.226285 | + | 0.0324155i | ||||
\(837\) | 29.0464 | − | 17.8335i | 1.00399 | − | 0.616415i | ||||
\(838\) | −9.90662 | − | 51.3291i | −0.342219 | − | 1.77313i | ||||
\(839\) | −14.5443 | − | 25.1914i | −0.502124 | − | 0.869704i | −0.999997 | − | 0.00245442i | \(-0.999219\pi\) |
0.497873 | − | 0.867250i | \(-0.334115\pi\) | |||||||
\(840\) | −9.27249 | − | 2.78403i | −0.319931 | − | 0.0960580i | ||||
\(841\) | 22.8465 | + | 39.5712i | 0.787809 | + | 1.36453i | ||||
\(842\) | 11.2551 | − | 9.75770i | 0.387877 | − | 0.336272i | ||||
\(843\) | −37.5176 | + | 6.96441i | −1.29217 | + | 0.239867i | ||||
\(844\) | 14.6348 | − | 18.6294i | 0.503749 | − | 0.641250i | ||||
\(845\) | −14.3211 | + | 12.2802i | −0.492660 | + | 0.422452i | ||||
\(846\) | 18.9374 | − | 35.5504i | 0.651080 | − | 1.22225i | ||||
\(847\) | 10.5846 | + | 6.11100i | 0.363690 | + | 0.209976i | ||||
\(848\) | −11.0133 | + | 37.6517i | −0.378198 | + | 1.29297i | ||||
\(849\) | −0.940903 | + | 2.65941i | −0.0322917 | + | 0.0912707i | ||||
\(850\) | −2.59944 | + | 7.51688i | −0.0891602 | + | 0.257827i | ||||
\(851\) | −2.26523 | − | 3.92350i | −0.0776512 | − | 0.134496i | ||||
\(852\) | 21.8569 | + | 34.4889i | 0.748805 | + | 1.18157i | ||||
\(853\) | 47.4214 | 1.62368 | 0.811839 | − | 0.583882i | \(-0.198467\pi\) | ||||
0.811839 | + | 0.583882i | \(0.198467\pi\) | |||||||
\(854\) | −18.6141 | + | 3.59257i | −0.636963 | + | 0.122935i | ||||
\(855\) | −7.86053 | − | 6.35799i | −0.268824 | − | 0.217439i | ||||
\(856\) | 0.564373 | − | 0.0273227i | 0.0192899 | − | 0.000933871i | ||||
\(857\) | − | 33.8746i | − | 1.15713i | −0.815635 | − | 0.578566i | \(-0.803612\pi\) | ||
0.815635 | − | 0.578566i | \(-0.196388\pi\) | |||||||
\(858\) | 12.5480 | + | 0.713299i | 0.428382 | + | 0.0243516i | ||||
\(859\) | 31.8945i | 1.08823i | 0.839012 | + | 0.544113i | \(0.183134\pi\) | ||||
−0.839012 | + | 0.544113i | \(0.816866\pi\) | |||||||
\(860\) | −31.2635 | + | 12.5348i | −1.06608 | + | 0.427431i | ||||
\(861\) | 1.75320 | + | 9.44457i | 0.0597490 | + | 0.321870i | ||||
\(862\) | 5.02664 | + | 26.0445i | 0.171208 | + | 0.887079i | ||||
\(863\) | 45.8933 | 1.56223 | 0.781114 | − | 0.624389i | \(-0.214652\pi\) | ||||
0.781114 | + | 0.624389i | \(0.214652\pi\) | |||||||
\(864\) | −24.4167 | − | 16.3654i | −0.830673 | − | 0.556761i | ||||
\(865\) | −4.14710 | − | 7.18300i | −0.141006 | − | 0.244229i | ||||
\(866\) | −7.46490 | − | 2.58147i | −0.253668 | − | 0.0877218i | ||||
\(867\) | 21.5924 | + | 7.63942i | 0.733316 | + | 0.259448i | ||||
\(868\) | −16.5823 | + | 6.64849i | −0.562840 | + | 0.225664i | ||||
\(869\) | −8.89375 | − | 5.13481i | −0.301700 | − | 0.174186i | ||||
\(870\) | 28.5950 | − | 11.2293i | 0.969462 | − | 0.380710i | ||||
\(871\) | 26.3656 | + | 37.2286i | 0.893364 | + | 1.26144i | ||||
\(872\) | −16.7381 | − | 26.0007i | −0.566823 | − | 0.880493i | ||||
\(873\) | 24.3866 | + | 19.7251i | 0.825360 | + | 0.667593i | ||||
\(874\) | 8.43991 | + | 9.73509i | 0.285484 | + | 0.329294i | ||||
\(875\) | 7.80021 | + | 13.5104i | 0.263695 | + | 0.456733i | ||||
\(876\) | 40.7975 | − | 1.68420i | 1.37842 | − | 0.0569038i | ||||
\(877\) | −3.64280 | − | 6.30951i | −0.123009 | − | 0.213057i | 0.797944 | − | 0.602731i | \(-0.205921\pi\) |
−0.920953 | + | 0.389674i | \(0.872588\pi\) | |||||||
\(878\) | 34.8311 | − | 6.72248i | 1.17549 | − | 0.226873i | ||||
\(879\) | −27.8311 | − | 32.5674i | −0.938718 | − | 1.09847i | ||||
\(880\) | 5.70657 | + | 5.97252i | 0.192369 | + | 0.201333i | ||||
\(881\) | 0.105049 | + | 0.0606503i | 0.00353920 | + | 0.00204336i | 0.501769 | − | 0.865002i | \(-0.332683\pi\) |
−0.498229 | + | 0.867045i | \(0.666016\pi\) | |||||||
\(882\) | −11.5542 | − | 18.5221i | −0.389051 | − | 0.623672i | ||||
\(883\) | − | 27.5547i | − | 0.927291i | −0.886021 | − | 0.463645i | \(-0.846541\pi\) | ||
0.886021 | − | 0.463645i | \(-0.153459\pi\) | |||||||
\(884\) | −0.695728 | + | 13.9960i | −0.0233999 | + | 0.470736i | ||||
\(885\) | 9.09686 | + | 10.6450i | 0.305788 | + | 0.357827i | ||||
\(886\) | −14.5770 | + | 12.6376i | −0.489724 | + | 0.424570i | ||||
\(887\) | −15.2792 | + | 26.4644i | −0.513026 | + | 0.888587i | 0.486860 | + | 0.873480i | \(0.338142\pi\) |
−0.999886 | + | 0.0151069i | \(0.995191\pi\) | |||||||
\(888\) | −1.30031 | − | 5.50592i | −0.0436355 | − | 0.184767i | ||||
\(889\) | −0.0630742 | −0.00211544 | ||||||||
\(890\) | −2.11378 | − | 10.9521i | −0.0708542 | − | 0.367116i | ||||
\(891\) | 2.67700 | + | 12.5248i | 0.0896828 | + | 0.419596i | ||||
\(892\) | −10.2328 | + | 13.0259i | −0.342619 | + | 0.436139i | ||||
\(893\) | −19.0938 | + | 11.0238i | −0.638949 | + | 0.368898i | ||||
\(894\) | 6.41601 | + | 0.965743i | 0.214583 | + | 0.0322993i | ||||
\(895\) | −0.810931 | − | 0.468191i | −0.0271064 | − | 0.0156499i | ||||
\(896\) | 11.1698 | + | 10.6119i | 0.373157 | + | 0.354519i | ||||
\(897\) | 17.5710 | + | 17.0736i | 0.586679 | + | 0.570071i | ||||
\(898\) | −18.4355 | + | 53.3104i | −0.615201 | + | 1.77899i | ||||
\(899\) | 28.3452 | − | 49.0953i | 0.945365 | − | 1.63742i | ||||
\(900\) | 3.87077 | + | 16.9277i | 0.129026 | + | 0.564257i | ||||
\(901\) | 9.52926 | + | 16.5052i | 0.317466 | + | 0.549867i | ||||
\(902\) | 2.67868 | − | 7.74600i | 0.0891902 | − | 0.257914i | ||||
\(903\) | 25.8062 | + | 9.13026i | 0.858776 | + | 0.303836i | ||||
\(904\) | −48.5921 | − | 25.0033i | −1.61615 | − | 0.831599i | ||||
\(905\) | 28.3706i | 0.943069i | ||||||||
\(906\) | −9.24147 | + | 11.5932i | −0.307027 | + | 0.385158i | ||||
\(907\) | 6.86907 | + | 3.96586i | 0.228084 | + | 0.131684i | 0.609688 | − | 0.792642i | \(-0.291295\pi\) |
−0.381604 | + | 0.924326i | \(0.624628\pi\) | |||||||
\(908\) | −45.4118 | + | 18.2074i | −1.50704 | + | 0.604233i | ||||
\(909\) | 0.848491 | + | 0.133897i | 0.0281427 | + | 0.00444109i | ||||
\(910\) | 7.27668 | + | 6.97069i | 0.241220 | + | 0.231076i | ||||
\(911\) | 17.5533 | 0.581568 | 0.290784 | − | 0.956789i | \(-0.406084\pi\) | ||||
0.290784 | + | 0.956789i | \(0.406084\pi\) | |||||||
\(912\) | 6.59829 | + | 14.6738i | 0.218491 | + | 0.485899i | ||||
\(913\) | −0.618996 | + | 1.07213i | −0.0204858 | + | 0.0354824i | ||||
\(914\) | 0.468115 | + | 2.42544i | 0.0154839 | + | 0.0802264i | ||||
\(915\) | −16.0739 | − | 18.8094i | −0.531388 | − | 0.621820i | ||||
\(916\) | 0.466059 | − | 3.25344i | 0.0153990 | − | 0.107497i | ||||
\(917\) | 17.4726 | − | 10.0878i | 0.576995 | − | 0.333128i | ||||
\(918\) | −13.9432 | + | 3.08408i | −0.460194 | + | 0.101790i | ||||
\(919\) | 12.5658 | − | 7.25488i | 0.414508 | − | 0.239316i | −0.278217 | − | 0.960518i | \(-0.589743\pi\) |
0.692725 | + | 0.721202i | \(0.256410\pi\) | |||||||
\(920\) | 0.778657 | + | 16.0838i | 0.0256715 | + | 0.530267i | ||||
\(921\) | 30.4006 | − | 5.64329i | 1.00173 | − | 0.185953i | ||||
\(922\) | −6.47125 | + | 18.7131i | −0.213119 | + | 0.616282i | ||||
\(923\) | −3.93039 | − | 42.3166i | −0.129370 | − | 1.39287i | ||||
\(924\) | −0.276900 | − | 6.70754i | −0.00910936 | − | 0.220662i | ||||
\(925\) | −1.67107 | + | 2.89437i | −0.0549443 | + | 0.0951664i | ||||
\(926\) | 24.3908 | + | 28.1338i | 0.801532 | + | 0.924535i | ||||
\(927\) | 4.28530 | + | 11.1448i | 0.140748 | + | 0.366043i | ||||
\(928\) | −48.6740 | − | 4.58438i | −1.59780 | − | 0.150490i | ||||
\(929\) | −35.0672 | + | 20.2461i | −1.15052 | + | 0.664252i | −0.949013 | − | 0.315236i | \(-0.897916\pi\) |
−0.201504 | + | 0.979488i | \(0.564583\pi\) | |||||||
\(930\) | −18.2325 | − | 14.5340i | −0.597868 | − | 0.476588i | ||||
\(931\) | 11.9492i | 0.391618i | ||||||||
\(932\) | 14.0397 | + | 2.01120i | 0.459885 | + | 0.0658790i | ||||
\(933\) | 1.30564 | + | 7.03352i | 0.0427447 | + | 0.230267i | ||||
\(934\) | −41.3987 | + | 35.8909i | −1.35461 | + | 1.17439i | ||||
\(935\) | 4.01314 | 0.131244 | ||||||||
\(936\) | 14.8839 | + | 26.7296i | 0.486494 | + | 0.873684i | ||||
\(937\) | 42.3569 | 1.38374 | 0.691870 | − | 0.722022i | \(-0.256787\pi\) | ||||
0.691870 | + | 0.722022i | \(0.256787\pi\) | |||||||
\(938\) | 18.4114 | − | 15.9619i | 0.601153 | − | 0.521174i | ||||
\(939\) | 5.67131 | + | 30.5516i | 0.185076 | + | 0.997013i | ||||
\(940\) | −27.2765 | − | 3.90738i | −0.889660 | − | 0.127445i | ||||
\(941\) | 6.13439i | 0.199975i | 0.994989 | + | 0.0999877i | \(0.0318804\pi\) | ||||
−0.994989 | + | 0.0999877i | \(0.968120\pi\) | |||||||
\(942\) | 3.08344 | + | 2.45795i | 0.100464 | + | 0.0800845i | ||||
\(943\) | 13.8365 | − | 7.98853i | 0.450580 | − | 0.260142i | ||||
\(944\) | −5.27592 | − | 21.6500i | −0.171717 | − | 0.704647i | ||||
\(945\) | −4.89216 | + | 9.02845i | −0.159142 | + | 0.293695i | ||||
\(946\) | −15.2996 | − | 17.6475i | −0.497433 | − | 0.573768i | ||||
\(947\) | −22.2235 | + | 38.4922i | −0.722166 | + | 1.25083i | 0.237964 | + | 0.971274i | \(0.423520\pi\) |
−0.960130 | + | 0.279554i | \(0.909813\pi\) | |||||||
\(948\) | −1.03111 | − | 24.9774i | −0.0334891 | − | 0.811228i | ||||
\(949\) | −38.6132 | − | 17.7548i | −1.25344 | − | 0.576346i | ||||
\(950\) | 3.10637 | − | 8.98279i | 0.100784 | − | 0.291440i | ||||
\(951\) | −15.9021 | + | 2.95192i | −0.515660 | + | 0.0957225i | ||||
\(952\) | 7.47634 | − | 0.361948i | 0.242310 | − | 0.0117308i | ||||
\(953\) | −5.58677 | + | 3.22552i | −0.180973 | + | 0.104485i | −0.587750 | − | 0.809043i | \(-0.699986\pi\) |
0.406777 | + | 0.913528i | \(0.366653\pi\) | |||||||
\(954\) | 36.7237 | + | 19.5623i | 1.18897 | + | 0.633354i | ||||
\(955\) | −4.05136 | + | 2.33905i | −0.131099 | + | 0.0756900i | ||||
\(956\) | 7.90192 | − | 55.1614i | 0.255566 | − | 1.78405i | ||||
\(957\) | 13.8394 | + | 16.1946i | 0.447363 | + | 0.523496i | ||||
\(958\) | −4.50091 | − | 23.3205i | −0.145418 | − | 0.753452i | ||||
\(959\) | −0.462070 | + | 0.800328i | −0.0149210 | + | 0.0258439i | ||||
\(960\) | −4.84431 | + | 19.5158i | −0.156349 | + | 0.629869i | ||||
\(961\) | −12.0268 | −0.387963 | ||||||||
\(962\) | −1.40155 | + | 5.71916i | −0.0451878 | + | 0.184393i | ||||
\(963\) | 0.0934187 | − | 0.591983i | 0.00301038 | − | 0.0190764i | ||||
\(964\) | −25.6826 | + | 10.2972i | −0.827182 | + | 0.331650i | ||||
\(965\) | −6.12104 | − | 3.53398i | −0.197043 | − | 0.113763i | ||||
\(966\) | 8.15725 | − | 10.2331i | 0.262455 | − | 0.329244i | ||||
\(967\) | 26.7327i | 0.859666i | 0.902908 | + | 0.429833i | \(0.141428\pi\) | ||||
−0.902908 | + | 0.429833i | \(0.858572\pi\) | |||||||
\(968\) | 11.6145 | − | 22.5718i | 0.373303 | − | 0.725487i | ||||
\(969\) | 7.36885 | + | 2.60711i | 0.236721 | + | 0.0837523i | ||||
\(970\) | 7.01255 | − | 20.2784i | 0.225159 | − | 0.651099i | ||||
\(971\) | 22.3789 | + | 38.7614i | 0.718173 | + | 1.24391i | 0.961723 | + | 0.274024i | \(0.0883546\pi\) |
−0.243550 | + | 0.969888i | \(0.578312\pi\) | |||||||
\(972\) | −22.2642 | + | 21.8245i | −0.714124 | + | 0.700020i | ||||
\(973\) | −9.32911 | + | 16.1585i | −0.299078 | + | 0.518018i | ||||
\(974\) | −9.22760 | + | 26.6837i | −0.295671 | + | 0.855001i | ||||
\(975\) | 4.42669 | − | 17.5232i | 0.141768 | − | 0.561191i | ||||
\(976\) | 9.32242 | + | 38.2550i | 0.298403 | + | 1.22451i | ||||
\(977\) | 21.8286 | + | 12.6028i | 0.698360 | + | 0.403198i | 0.806736 | − | 0.590912i | \(-0.201232\pi\) |
−0.108377 | + | 0.994110i | \(0.534565\pi\) | |||||||
\(978\) | 20.0469 | + | 3.01748i | 0.641030 | + | 0.0964884i | ||||
\(979\) | 6.69831 | − | 3.86727i | 0.214079 | − | 0.123599i | ||||
\(980\) | −9.22550 | + | 11.7437i | −0.294698 | + | 0.375137i | ||||
\(981\) | −30.6131 | + | 11.7711i | −0.977402 | + | 0.375822i | ||||
\(982\) | 8.15498 | + | 42.2533i | 0.260236 | + | 1.34836i | ||||
\(983\) | −16.2142 | −0.517154 | −0.258577 | − | 0.965991i | \(-0.583254\pi\) | ||||
−0.258577 | + | 0.965991i | \(0.583254\pi\) | |||||||
\(984\) | 19.4171 | − | 4.58565i | 0.618994 | − | 0.146185i | ||||
\(985\) | 14.5089 | − | 25.1301i | 0.462291 | − | 0.800711i | ||||
\(986\) | −17.9462 | + | 15.5586i | −0.571524 | + | 0.495487i | ||||
\(987\) | 14.5483 | + | 17.0242i | 0.463079 | + | 0.541886i | ||||
\(988\) | 0.831406 | − | 16.7254i | 0.0264505 | − | 0.532106i | ||||
\(989\) | − | 45.5294i | − | 1.44775i | ||||||
\(990\) | 7.43379 | − | 4.63725i | 0.236262 | − | 0.147382i | ||||
\(991\) | −24.6526 | − | 14.2332i | −0.783115 | − | 0.452132i | 0.0544180 | − | 0.998518i | \(-0.482670\pi\) |
−0.837533 | + | 0.546387i | \(0.816003\pi\) | |||||||
\(992\) | 15.4580 | + | 33.7329i | 0.490792 | + | 1.07102i | ||||
\(993\) | 12.7225 | + | 14.8876i | 0.403736 | + | 0.472444i | ||||
\(994\) | −22.2891 | + | 4.30185i | −0.706968 | + | 0.136446i | ||||
\(995\) | 14.9362 | + | 25.8702i | 0.473509 | + | 0.820141i | ||||
\(996\) | −3.01100 | + | 0.124300i | −0.0954071 | + | 0.00393859i | ||||
\(997\) | 10.5038 | + | 18.1931i | 0.332658 | + | 0.576180i | 0.983032 | − | 0.183434i | \(-0.0587213\pi\) |
−0.650374 | + | 0.759614i | \(0.725388\pi\) | |||||||
\(998\) | −36.3729 | − | 41.9546i | −1.15136 | − | 1.32805i | ||||
\(999\) | −5.99837 | + | 0.162152i | −0.189780 | + | 0.00513025i |
(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 | 156.2.p.b.35.16 | yes | 40 | |
3.2 | odd | 2 | inner | 156.2.p.b.35.5 | ✓ | 40 | |
4.3 | odd | 2 | inner | 156.2.p.b.35.9 | yes | 40 | |
12.11 | even | 2 | inner | 156.2.p.b.35.12 | yes | 40 | |
13.3 | even | 3 | inner | 156.2.p.b.107.12 | yes | 40 | |
39.29 | odd | 6 | inner | 156.2.p.b.107.9 | yes | 40 | |
52.3 | odd | 6 | inner | 156.2.p.b.107.5 | yes | 40 | |
156.107 | even | 6 | inner | 156.2.p.b.107.16 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.2.p.b.35.5 | ✓ | 40 | 3.2 | odd | 2 | inner | |
156.2.p.b.35.9 | yes | 40 | 4.3 | odd | 2 | inner | |
156.2.p.b.35.12 | yes | 40 | 12.11 | even | 2 | inner | |
156.2.p.b.35.16 | yes | 40 | 1.1 | even | 1 | trivial | |
156.2.p.b.107.5 | yes | 40 | 52.3 | odd | 6 | inner | |
156.2.p.b.107.9 | yes | 40 | 39.29 | odd | 6 | inner | |
156.2.p.b.107.12 | yes | 40 | 13.3 | even | 3 | inner | |
156.2.p.b.107.16 | yes | 40 | 156.107 | even | 6 | inner |