Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(19,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.bk (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.5 | ||
Character | \(\chi\) | \(=\) | 504.19 |
Dual form | 504.2.bk.b.451.5 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.826169 | − | 1.14780i | −0.584190 | − | 0.811617i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.634890 | + | 1.89655i | −0.317445 | + | 0.948277i | ||||
\(5\) | −1.91923 | + | 3.32420i | −0.858304 | + | 1.48663i | 0.0152419 | + | 0.999884i | \(0.495148\pi\) |
−0.873546 | + | 0.486742i | \(0.838185\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.55724 | − | 2.13893i | −0.588580 | − | 0.808439i | ||||
\(8\) | 2.70139 | − | 0.838146i | 0.955086 | − | 0.296330i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.40112 | − | 0.543460i | 1.70798 | − | 0.171857i | ||||
\(11\) | −1.28125 | − | 2.21918i | −0.386310 | − | 0.669109i | 0.605640 | − | 0.795739i | \(-0.292917\pi\) |
−0.991950 | + | 0.126630i | \(0.959584\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.99175 | 1.66181 | 0.830906 | − | 0.556413i | \(-0.187823\pi\) | ||||
0.830906 | + | 0.556413i | \(0.187823\pi\) | |||||||
\(14\) | −1.16852 | + | 3.55451i | −0.312301 | + | 0.949983i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.19383 | − | 2.40821i | −0.798457 | − | 0.602051i | ||||
\(17\) | −3.53425 | + | 2.04050i | −0.857181 | + | 0.494894i | −0.863067 | − | 0.505089i | \(-0.831460\pi\) |
0.00588636 | + | 0.999983i | \(0.498126\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.05318 | − | 1.18541i | −0.471033 | − | 0.271951i | 0.245639 | − | 0.969361i | \(-0.421002\pi\) |
−0.716672 | + | 0.697410i | \(0.754335\pi\) | |||||||
\(20\) | −5.08602 | − | 5.75041i | −1.13727 | − | 1.28583i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.48865 | + | 3.30403i | −0.317382 | + | 0.704422i | ||||
\(23\) | −6.53773 | − | 3.77456i | −1.36321 | − | 0.787050i | −0.373161 | − | 0.927767i | \(-0.621726\pi\) |
−0.990050 | + | 0.140716i | \(0.955059\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.86686 | − | 8.42964i | −0.973371 | − | 1.68593i | ||||
\(26\) | −4.95020 | − | 6.87733i | −0.970813 | − | 1.34876i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.04527 | − | 1.59539i | 0.953466 | − | 0.301501i | ||||
\(29\) | − | 2.70568i | − | 0.502431i | −0.967931 | − | 0.251216i | \(-0.919170\pi\) | ||
0.967931 | − | 0.251216i | \(-0.0808303\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.90258 | − | 5.02742i | −0.521319 | − | 0.902951i | −0.999693 | − | 0.0247947i | \(-0.992107\pi\) |
0.478373 | − | 0.878156i | \(-0.341227\pi\) | |||||||
\(32\) | −0.125497 | + | 5.65546i | −0.0221849 | + | 0.999754i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.26197 | + | 2.37081i | 0.902420 | + | 0.406591i | ||||
\(35\) | 10.0989 | − | 1.07147i | 1.70703 | − | 0.181111i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.61144 | − | 2.08507i | −0.593717 | − | 0.342783i | 0.172849 | − | 0.984948i | \(-0.444703\pi\) |
−0.766566 | + | 0.642166i | \(0.778036\pi\) | |||||||
\(38\) | 0.335667 | + | 3.33599i | 0.0544524 | + | 0.541169i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.39841 | + | 10.5885i | −0.379223 | + | 1.67420i | ||||
\(41\) | − | 5.96293i | − | 0.931253i | −0.884981 | − | 0.465627i | \(-0.845829\pi\) | ||
0.884981 | − | 0.465627i | \(-0.154171\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.06098 | −1.22929 | −0.614644 | − | 0.788805i | \(-0.710700\pi\) | ||||
−0.614644 | + | 0.788805i | \(0.710700\pi\) | |||||||
\(44\) | 5.02225 | − | 1.02101i | 0.757132 | − | 0.153924i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.06883 | + | 10.6224i | 0.157590 | + | 1.56619i | ||||
\(47\) | 0.204145 | − | 0.353590i | 0.0297776 | − | 0.0515763i | −0.850753 | − | 0.525566i | \(-0.823853\pi\) |
0.880530 | + | 0.473990i | \(0.157187\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.15004 | + | 6.66163i | −0.307148 | + | 0.951662i | ||||
\(50\) | −5.65470 | + | 12.5505i | −0.799695 | + | 1.77491i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.80410 | + | 11.3637i | −0.527534 | + | 1.57586i | ||||
\(53\) | 4.41436 | − | 2.54863i | 0.606359 | − | 0.350082i | −0.165180 | − | 0.986263i | \(-0.552821\pi\) |
0.771539 | + | 0.636182i | \(0.219487\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.83600 | 1.32629 | ||||||||
\(56\) | −5.99944 | − | 4.47289i | −0.801708 | − | 0.597715i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.10557 | + | 2.23534i | −0.407782 | + | 0.293515i | ||||
\(59\) | 9.05639 | − | 5.22871i | 1.17904 | − | 0.680720i | 0.223249 | − | 0.974761i | \(-0.428334\pi\) |
0.955793 | + | 0.294041i | \(0.0950002\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.34535 | − | 2.33021i | 0.172254 | − | 0.298353i | −0.766954 | − | 0.641703i | \(-0.778228\pi\) |
0.939208 | + | 0.343350i | \(0.111562\pi\) | |||||||
\(62\) | −3.37245 | + | 7.48508i | −0.428302 | + | 0.950606i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.59502 | − | 4.52832i | 0.824378 | − | 0.566040i | ||||
\(65\) | −11.4995 | + | 19.9178i | −1.42634 | + | 2.47049i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.38045 | + | 4.12307i | 0.290819 | + | 0.503713i | 0.974004 | − | 0.226533i | \(-0.0727390\pi\) |
−0.683185 | + | 0.730245i | \(0.739406\pi\) | |||||||
\(68\) | −1.62606 | − | 7.99838i | −0.197188 | − | 0.969946i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.57323 | − | 10.7063i | −1.14422 | − | 1.27965i | ||||
\(71\) | 1.21482i | 0.144172i | 0.997398 | + | 0.0720860i | \(0.0229656\pi\) | ||||
−0.997398 | + | 0.0720860i | \(0.977034\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.65046 | + | 3.83964i | −0.778377 | + | 0.449396i | −0.835855 | − | 0.548951i | \(-0.815027\pi\) |
0.0574778 | + | 0.998347i | \(0.481694\pi\) | |||||||
\(74\) | 0.590421 | + | 5.86783i | 0.0686350 | + | 0.682121i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.55173 | − | 3.14137i | 0.407412 | − | 0.360340i | ||||
\(77\) | −2.75147 | + | 6.19628i | −0.313560 | + | 0.706132i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.89433 | + | 5.13514i | 1.00069 | + | 0.577749i | 0.908452 | − | 0.417988i | \(-0.137265\pi\) |
0.0922379 | + | 0.995737i | \(0.470598\pi\) | |||||||
\(80\) | 14.1350 | − | 5.99503i | 1.58034 | − | 0.670264i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.84425 | + | 4.92639i | −0.755821 | + | 0.544028i | ||||
\(83\) | − | 4.49449i | − | 0.493335i | −0.969100 | − | 0.246667i | \(-0.920664\pi\) | ||
0.969100 | − | 0.246667i | \(-0.0793355\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 15.6647i | − | 1.69908i | ||||||
\(86\) | 6.65973 | + | 9.25239i | 0.718137 | + | 0.997711i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −5.32115 | − | 4.92101i | −0.567236 | − | 0.524581i | ||||
\(89\) | −3.35682 | − | 1.93806i | −0.355822 | − | 0.205434i | 0.311424 | − | 0.950271i | \(-0.399194\pi\) |
−0.667247 | + | 0.744837i | \(0.732527\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.33056 | − | 12.8159i | −0.978109 | − | 1.34347i | ||||
\(92\) | 11.3094 | − | 10.0027i | 1.17909 | − | 1.04286i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.574508 | + | 0.0578070i | −0.0592560 | + | 0.00596234i | ||||
\(95\) | 7.88105 | − | 4.55013i | 0.808578 | − | 0.466833i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 1.20561i | − | 0.122411i | −0.998125 | − | 0.0612055i | \(-0.980505\pi\) | ||
0.998125 | − | 0.0612055i | \(-0.0194945\pi\) | |||||||
\(98\) | 9.42252 | − | 3.03582i | 0.951818 | − | 0.306664i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 19.0772 | − | 3.87836i | 1.90772 | − | 0.387836i | ||||
\(101\) | 6.74188 | + | 11.6773i | 0.670842 | + | 1.16193i | 0.977666 | + | 0.210166i | \(0.0674003\pi\) |
−0.306824 | + | 0.951766i | \(0.599266\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.63098 | + | 4.55700i | −0.259239 | + | 0.449014i | −0.966038 | − | 0.258399i | \(-0.916805\pi\) |
0.706800 | + | 0.707414i | \(0.250138\pi\) | |||||||
\(104\) | 16.1861 | − | 5.02196i | 1.58717 | − | 0.492444i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.57233 | − | 2.96120i | −0.638361 | − | 0.287617i | ||||
\(107\) | −1.74917 | + | 3.02965i | −0.169098 | + | 0.292887i | −0.938103 | − | 0.346356i | \(-0.887419\pi\) |
0.769005 | + | 0.639243i | \(0.220752\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −14.9576 | + | 8.63578i | −1.43268 | + | 0.827158i | −0.997324 | − | 0.0731016i | \(-0.976710\pi\) |
−0.435354 | + | 0.900259i | \(0.643377\pi\) | |||||||
\(110\) | −8.12620 | − | 11.2898i | −0.774802 | − | 1.07644i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.177438 | + | 10.5815i | −0.0167664 | + | 0.999859i | ||||
\(113\) | −11.7160 | −1.10215 | −0.551075 | − | 0.834456i | \(-0.685782\pi\) | ||||
−0.551075 | + | 0.834456i | \(0.685782\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 25.0948 | − | 14.4885i | 2.34010 | − | 1.35106i | ||||
\(116\) | 5.13146 | + | 1.71781i | 0.476444 | + | 0.159494i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −13.4836 | − | 6.07513i | −1.24127 | − | 0.559261i | ||||
\(119\) | 9.86814 | + | 4.38197i | 0.904611 | + | 0.401694i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.21682 | − | 3.83964i | 0.201529 | − | 0.349058i | ||||
\(122\) | −3.78610 | + | 0.380957i | −0.342777 | + | 0.0344902i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 11.3776 | − | 2.31304i | 1.02174 | − | 0.207717i | ||||
\(125\) | 18.1701 | 1.62518 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 10.4857i | − | 0.930459i | −0.885190 | − | 0.465229i | \(-0.845972\pi\) | ||
0.885190 | − | 0.465229i | \(-0.154028\pi\) | |||||||
\(128\) | −10.6462 | − | 3.82861i | −0.941001 | − | 0.338404i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 32.3621 | − | 3.25628i | 2.83835 | − | 0.285594i | ||||
\(131\) | −1.93929 | − | 1.11965i | −0.169437 | − | 0.0978243i | 0.412884 | − | 0.910784i | \(-0.364522\pi\) |
−0.582320 | + | 0.812960i | \(0.697855\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.661790 | + | 6.23757i | 0.0573845 | + | 0.540866i | ||||
\(134\) | 2.76580 | − | 6.13863i | 0.238929 | − | 0.530297i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.83715 | + | 8.47440i | −0.672030 | + | 0.726674i | ||||
\(137\) | −2.84029 | − | 4.91953i | −0.242662 | − | 0.420303i | 0.718809 | − | 0.695207i | \(-0.244687\pi\) |
−0.961472 | + | 0.274904i | \(0.911354\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.0149i | 1.27355i | 0.771050 | + | 0.636774i | \(0.219732\pi\) | ||||
−0.771050 | + | 0.636774i | \(0.780268\pi\) | |||||||
\(140\) | −4.37960 | + | 19.8334i | −0.370144 | + | 1.67623i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.39437 | − | 1.00364i | 0.117013 | − | 0.0842238i | ||||
\(143\) | −7.67690 | − | 13.2968i | −0.641975 | − | 1.11193i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.99420 | + | 5.19280i | 0.746927 | + | 0.431239i | ||||
\(146\) | 9.90154 | + | 4.46120i | 0.819457 | + | 0.369212i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.24731 | − | 5.52550i | 0.513526 | − | 0.454194i | ||||
\(149\) | −2.90342 | − | 1.67629i | −0.237858 | − | 0.137327i | 0.376334 | − | 0.926484i | \(-0.377185\pi\) |
−0.614192 | + | 0.789157i | \(0.710518\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.37756 | + | 3.68209i | −0.518998 | + | 0.299644i | −0.736525 | − | 0.676411i | \(-0.763535\pi\) |
0.217526 | + | 0.976054i | \(0.430201\pi\) | |||||||
\(152\) | −6.54000 | − | 1.48138i | −0.530464 | − | 0.120156i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 9.38528 | − | 1.96103i | 0.756287 | − | 0.158025i | ||||
\(155\) | 22.2828 | 1.78980 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.53219 | + | 7.84998i | 0.361708 | + | 0.626497i | 0.988242 | − | 0.152897i | \(-0.0488604\pi\) |
−0.626534 | + | 0.779394i | \(0.715527\pi\) | |||||||
\(158\) | −1.45410 | − | 14.4514i | −0.115682 | − | 1.14969i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −18.5590 | − | 11.2713i | −1.46722 | − | 0.891073i | ||||
\(161\) | 2.10727 | + | 19.8616i | 0.166076 | + | 1.56532i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.73371 | + | 16.8593i | −0.762403 | + | 1.32052i | 0.179206 | + | 0.983812i | \(0.442647\pi\) |
−0.941609 | + | 0.336709i | \(0.890686\pi\) | |||||||
\(164\) | 11.3090 | + | 3.78580i | 0.883086 | + | 0.295622i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.15878 | + | 3.71321i | −0.400399 | + | 0.288201i | ||||
\(167\) | −17.4579 | −1.35094 | −0.675468 | − | 0.737390i | \(-0.736058\pi\) | ||||
−0.675468 | + | 0.737390i | \(0.736058\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 22.9011 | 1.76162 | ||||||||
\(170\) | −17.9800 | + | 12.9417i | −1.37900 | + | 0.992583i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.11784 | − | 15.2881i | 0.390231 | − | 1.16571i | ||||
\(173\) | −1.76728 | + | 3.06101i | −0.134363 | + | 0.232724i | −0.925354 | − | 0.379104i | \(-0.876232\pi\) |
0.790991 | + | 0.611828i | \(0.209566\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.4516 | + | 23.5368i | −0.790064 | + | 1.77921i | ||||
\(176\) | −1.25217 | + | 10.1732i | −0.0943858 | + | 0.766833i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.548794 | + | 5.45412i | 0.0411338 | + | 0.408804i | ||||
\(179\) | −4.69613 | − | 8.13393i | −0.351005 | − | 0.607958i | 0.635421 | − | 0.772166i | \(-0.280827\pi\) |
−0.986426 | + | 0.164208i | \(0.947493\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.0924470 | 0.00687153 | 0.00343577 | − | 0.999994i | \(-0.498906\pi\) | ||||
0.00343577 | + | 0.999994i | \(0.498906\pi\) | |||||||
\(182\) | −7.00150 | + | 21.2977i | −0.518986 | + | 1.57869i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −20.8246 | − | 4.71699i | −1.53521 | − | 0.347741i | ||||
\(185\) | 13.8623 | − | 8.00343i | 1.01918 | − | 0.588424i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.05648 | + | 5.22876i | 0.662275 | + | 0.382365i | ||||
\(188\) | 0.540992 | + | 0.611662i | 0.0394559 | + | 0.0446101i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.7337 | − | 5.28670i | −0.851253 | − | 0.383537i | ||||
\(191\) | 0.730882 | + | 0.421975i | 0.0528848 | + | 0.0305330i | 0.526209 | − | 0.850355i | \(-0.323613\pi\) |
−0.473324 | + | 0.880888i | \(0.656946\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.77738 | − | 15.2029i | −0.631810 | − | 1.09433i | −0.987182 | − | 0.159601i | \(-0.948979\pi\) |
0.355372 | − | 0.934725i | \(-0.384354\pi\) | |||||||
\(194\) | −1.38380 | + | 0.996036i | −0.0993509 | + | 0.0715112i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −11.2691 | − | 8.30706i | −0.804936 | − | 0.593362i | ||||
\(197\) | − | 7.92348i | − | 0.564524i | −0.959337 | − | 0.282262i | \(-0.908915\pi\) | ||
0.959337 | − | 0.282262i | \(-0.0910848\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.03385 | − | 15.6471i | −0.640392 | − | 1.10919i | −0.985345 | − | 0.170572i | \(-0.945438\pi\) |
0.344953 | − | 0.938620i | \(-0.387895\pi\) | |||||||
\(200\) | −20.2125 | − | 18.6926i | −1.42924 | − | 1.32177i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.83325 | − | 17.3857i | 0.551145 | − | 1.22326i | ||||
\(203\) | −5.78725 | + | 4.21337i | −0.406185 | + | 0.295721i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.8219 | + | 11.4442i | 1.38442 | + | 0.799298i | ||||
\(206\) | 7.40416 | − | 0.745006i | 0.515872 | − | 0.0519070i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −19.1366 | − | 14.4294i | −1.32689 | − | 1.00050i | ||||
\(209\) | 6.07519i | 0.420230i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.699927 | −0.0481849 | −0.0240925 | − | 0.999710i | \(-0.507670\pi\) | ||||
−0.0240925 | + | 0.999710i | \(0.507670\pi\) | |||||||
\(212\) | 2.03098 | + | 9.99017i | 0.139488 | + | 0.686128i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.92254 | − | 0.495305i | 0.336498 | − | 0.0338584i | ||||
\(215\) | 15.4708 | − | 26.7963i | 1.05510 | − | 1.82749i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.23329 | + | 14.0373i | −0.423143 | + | 0.952913i | ||||
\(218\) | 22.2697 | + | 10.0337i | 1.50829 | + | 0.679570i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.24478 | + | 18.6545i | −0.421023 | + | 1.25769i | ||||
\(221\) | −21.1763 | + | 12.2262i | −1.42447 | + | 0.822420i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.52067 | −0.168797 | −0.0843983 | − | 0.996432i | \(-0.526897\pi\) | ||||
−0.0843983 | + | 0.996432i | \(0.526897\pi\) | |||||||
\(224\) | 12.2921 | − | 8.53846i | 0.821298 | − | 0.570500i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.67940 | + | 13.4476i | 0.643864 | + | 0.894524i | ||||
\(227\) | 7.20056 | − | 4.15724i | 0.477918 | − | 0.275926i | −0.241631 | − | 0.970368i | \(-0.577682\pi\) |
0.719548 | + | 0.694442i | \(0.244349\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.61750 | − | 4.53364i | 0.172969 | − | 0.299592i | −0.766487 | − | 0.642259i | \(-0.777997\pi\) |
0.939457 | + | 0.342668i | \(0.111331\pi\) | |||||||
\(230\) | −37.3624 | − | 16.8339i | −2.46360 | − | 1.10999i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.26775 | − | 7.30909i | −0.148885 | − | 0.479865i | ||||
\(233\) | 10.9830 | − | 19.0231i | 0.719520 | − | 1.24624i | −0.241671 | − | 0.970358i | \(-0.577695\pi\) |
0.961190 | − | 0.275886i | \(-0.0889712\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.783601 | + | 1.35724i | 0.0511165 | + | 0.0885363i | ||||
\(236\) | 4.16672 | + | 20.4956i | 0.271230 | + | 1.33415i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.12312 | − | 14.9469i | −0.202442 | − | 0.968863i | ||||
\(239\) | 28.5156i | 1.84452i | 0.386572 | + | 0.922259i | \(0.373659\pi\) | ||||
−0.386572 | + | 0.922259i | \(0.626341\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.01239 | − | 4.62596i | 0.516123 | − | 0.297984i | −0.219224 | − | 0.975675i | \(-0.570352\pi\) |
0.735347 | + | 0.677691i | \(0.237019\pi\) | |||||||
\(242\) | −6.23861 | + | 0.627728i | −0.401033 | + | 0.0403519i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.56522 | + | 4.03095i | 0.228240 | + | 0.258055i | ||||
\(245\) | −18.0182 | − | 19.9323i | −1.15114 | − | 1.27343i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −12.3022 | − | 7.10266i | −0.782768 | − | 0.451931i | ||||
\(248\) | −12.0547 | − | 11.1482i | −0.765476 | − | 0.707914i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.0116 | − | 20.8557i | −0.949416 | − | 1.31903i | ||||
\(251\) | − | 0.208623i | − | 0.0131682i | −0.999978 | − | 0.00658409i | \(-0.997904\pi\) | ||
0.999978 | − | 0.00658409i | \(-0.00209580\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.3446i | 1.21618i | ||||||||
\(254\) | −12.0355 | + | 8.66299i | −0.755176 | + | 0.543564i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 4.40109 | + | 15.3828i | 0.275068 | + | 0.961425i | ||||
\(257\) | −17.1020 | − | 9.87383i | −1.06679 | − | 0.615912i | −0.139488 | − | 0.990224i | \(-0.544546\pi\) |
−0.927303 | + | 0.374311i | \(0.877879\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.16405 | + | 10.9716i | 0.0723308 | + | 0.681739i | ||||
\(260\) | −30.4741 | − | 34.4550i | −1.88993 | − | 2.13681i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.317047 | + | 3.15094i | 0.0195872 | + | 0.194666i | ||||
\(263\) | −14.0976 | + | 8.13925i | −0.869295 | + | 0.501888i | −0.867114 | − | 0.498110i | \(-0.834028\pi\) |
−0.00218129 | + | 0.999998i | \(0.500694\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.5656i | 1.20191i | ||||||||
\(266\) | 6.61274 | − | 5.91289i | 0.405453 | − | 0.362543i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −9.33094 | + | 1.89696i | −0.569978 | + | 0.115875i | ||||
\(269\) | −3.99040 | − | 6.91158i | −0.243299 | − | 0.421406i | 0.718353 | − | 0.695679i | \(-0.244896\pi\) |
−0.961652 | + | 0.274272i | \(0.911563\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.26335 | − | 10.8484i | 0.380471 | − | 0.658995i | −0.610658 | − | 0.791894i | \(-0.709095\pi\) |
0.991130 | + | 0.132899i | \(0.0424285\pi\) | |||||||
\(272\) | 16.2017 | + | 1.99419i | 0.982374 | + | 0.120916i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.30007 | + | 7.32444i | −0.199365 | + | 0.442486i | ||||
\(275\) | −12.4713 | + | 21.6009i | −0.752046 | + | 1.30258i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −17.4329 | + | 10.0649i | −1.04744 | + | 0.604740i | −0.921932 | − | 0.387353i | \(-0.873390\pi\) |
−0.125508 | + | 0.992093i | \(0.540056\pi\) | |||||||
\(278\) | 17.2341 | − | 12.4049i | 1.03363 | − | 0.743994i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 26.3830 | − | 11.3588i | 1.57669 | − | 0.678819i | ||||
\(281\) | −2.22654 | −0.132824 | −0.0664121 | − | 0.997792i | \(-0.521155\pi\) | ||||
−0.0664121 | + | 0.997792i | \(0.521155\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.89693 | − | 1.67254i | 0.172204 | − | 0.0994222i | −0.411420 | − | 0.911446i | \(-0.634967\pi\) |
0.583625 | + | 0.812023i | \(0.301634\pi\) | |||||||
\(284\) | −2.30396 | − | 0.771274i | −0.136715 | − | 0.0457667i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −8.91963 | + | 19.7969i | −0.527429 | + | 1.17062i | ||||
\(287\) | −12.7543 | + | 9.28568i | −0.752862 | + | 0.548117i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.172731 | + | 0.299179i | −0.0101607 | + | 0.0175988i | ||||
\(290\) | −1.47043 | − | 14.6137i | −0.0863464 | − | 0.858144i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.05978 | − | 15.0507i | −0.179060 | − | 0.880775i | ||||
\(293\) | 9.88541 | 0.577512 | 0.288756 | − | 0.957403i | \(-0.406758\pi\) | ||||
0.288756 | + | 0.957403i | \(0.406758\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 40.1403i | 2.33706i | ||||||||
\(296\) | −11.5035 | − | 2.60566i | −0.668628 | − | 0.151451i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.474670 | + | 4.71745i | 0.0274969 | + | 0.273275i | ||||
\(299\) | −39.1724 | − | 22.6162i | −2.26540 | − | 1.30793i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.5528 | + | 17.2419i | 0.723534 | + | 0.993805i | ||||
\(302\) | 9.49524 | + | 4.27814i | 0.546390 | + | 0.246179i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.70282 | + | 8.73048i | 0.212371 | + | 0.500727i | ||||
\(305\) | 5.16405 | + | 8.94439i | 0.295693 | + | 0.512154i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 3.58312i | − | 0.204500i | −0.994759 | − | 0.102250i | \(-0.967396\pi\) | ||
0.994759 | − | 0.102250i | \(-0.0326041\pi\) | |||||||
\(308\) | −10.0047 | − | 9.15228i | −0.570071 | − | 0.521499i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.4094 | − | 25.5762i | −1.04558 | − | 1.45263i | ||||
\(311\) | 13.1626 | + | 22.7982i | 0.746381 | + | 1.29277i | 0.949547 | + | 0.313626i | \(0.101544\pi\) |
−0.203166 | + | 0.979144i | \(0.565123\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 13.5565 | + | 7.82684i | 0.766257 | + | 0.442399i | 0.831538 | − | 0.555468i | \(-0.187461\pi\) |
−0.0652804 | + | 0.997867i | \(0.520794\pi\) | |||||||
\(314\) | 5.26586 | − | 11.6875i | 0.297169 | − | 0.659561i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −15.3860 | + | 13.6083i | −0.865530 | + | 0.765528i | ||||
\(317\) | 13.8585 | + | 8.00123i | 0.778373 | + | 0.449394i | 0.835853 | − | 0.548953i | \(-0.184973\pi\) |
−0.0574803 | + | 0.998347i | \(0.518307\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.00439 | + | 3.46664i | −0.336181 | + | 0.194094i | ||||
\(320\) | 2.39570 | + | 30.6140i | 0.133923 | + | 1.71138i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 21.0562 | − | 18.8278i | 1.17342 | − | 1.04923i | ||||
\(323\) | 9.67528 | 0.538347 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −29.1610 | − | 50.5083i | −1.61756 | − | 2.80170i | ||||
\(326\) | 27.3928 | − | 2.75626i | 1.51715 | − | 0.152655i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.99781 | − | 16.1082i | −0.275958 | − | 0.889427i | ||||
\(329\) | −1.07420 | + | 0.113970i | −0.0592228 | + | 0.00628339i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.13686 | − | 14.0935i | 0.447242 | − | 0.774646i | −0.550963 | − | 0.834530i | \(-0.685740\pi\) |
0.998205 | + | 0.0598834i | \(0.0190729\pi\) | |||||||
\(332\) | 8.52405 | + | 2.85351i | 0.467818 | + | 0.156607i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 14.4232 | + | 20.0382i | 0.789202 | + | 1.09644i | ||||
\(335\) | −18.2745 | −0.998443 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.91266 | −0.322083 | −0.161042 | − | 0.986948i | \(-0.551485\pi\) | ||||
−0.161042 | + | 0.986948i | \(0.551485\pi\) | |||||||
\(338\) | −18.9201 | − | 26.2858i | −1.02912 | − | 1.42976i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 29.7090 | + | 9.94537i | 1.61119 | + | 0.539363i | ||||
\(341\) | −7.43784 | + | 12.8827i | −0.402782 | + | 0.697638i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.5969 | − | 5.77495i | 0.950142 | − | 0.311818i | ||||
\(344\) | −21.7759 | + | 6.75628i | −1.17408 | + | 0.364274i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.97350 | − | 0.500433i | 0.267377 | − | 0.0269034i | ||||
\(347\) | 14.5658 | + | 25.2288i | 0.781936 | + | 1.35435i | 0.930813 | + | 0.365496i | \(0.119101\pi\) |
−0.148877 | + | 0.988856i | \(0.547566\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.2807 | 0.603841 | 0.301921 | − | 0.953333i | \(-0.402372\pi\) | ||||
0.301921 | + | 0.953333i | \(0.402372\pi\) | |||||||
\(350\) | 35.6503 | − | 7.44906i | 1.90559 | − | 0.398169i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 12.7113 | − | 6.96754i | 0.677514 | − | 0.371371i | ||||
\(353\) | 24.0732 | − | 13.8987i | 1.28129 | − | 0.739753i | 0.304205 | − | 0.952606i | \(-0.401609\pi\) |
0.977084 | + | 0.212854i | \(0.0682757\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.03829 | − | 2.33151i | −0.214330 | − | 0.123743i | ||||
\(356\) | 5.80685 | − | 5.13593i | 0.307762 | − | 0.272204i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −5.45633 | + | 12.1102i | −0.288376 | + | 0.640045i | ||||
\(359\) | 2.79904 | + | 1.61602i | 0.147727 | + | 0.0852905i | 0.572042 | − | 0.820224i | \(-0.306152\pi\) |
−0.424314 | + | 0.905515i | \(0.639485\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.68962 | − | 11.5868i | −0.352085 | − | 0.609830i | ||||
\(362\) | −0.0763768 | − | 0.106111i | −0.00401428 | − | 0.00557705i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 30.2300 | − | 9.55921i | 1.58448 | − | 0.501039i | ||||
\(365\) | − | 29.4766i | − | 1.54287i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.139516 | − | 0.241649i | −0.00728269 | − | 0.0126140i | 0.862361 | − | 0.506294i | \(-0.168985\pi\) |
−0.869644 | + | 0.493680i | \(0.835652\pi\) | |||||||
\(368\) | 11.7905 | + | 27.7995i | 0.614621 | + | 1.44915i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −20.6390 | − | 9.29902i | −1.07297 | − | 0.483433i | ||||
\(371\) | −12.3255 | − | 5.47318i | −0.639910 | − | 0.284154i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −26.9934 | − | 15.5846i | −1.39767 | − | 0.806943i | −0.403518 | − | 0.914972i | \(-0.632213\pi\) |
−0.994148 | + | 0.108029i | \(0.965546\pi\) | |||||||
\(374\) | −1.48061 | − | 14.7149i | −0.0765605 | − | 0.760888i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.255116 | − | 1.12629i | 0.0131566 | − | 0.0580838i | ||||
\(377\) | − | 16.2117i | − | 0.834947i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.0156 | 1.23360 | 0.616799 | − | 0.787121i | \(-0.288429\pi\) | ||||
0.616799 | + | 0.787121i | \(0.288429\pi\) | |||||||
\(380\) | 3.62596 | + | 17.8357i | 0.186008 | + | 0.914950i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.119489 | − | 1.18753i | −0.00611360 | − | 0.0607593i | ||||
\(383\) | 7.38565 | − | 12.7923i | 0.377389 | − | 0.653657i | −0.613293 | − | 0.789856i | \(-0.710155\pi\) |
0.990681 | + | 0.136199i | \(0.0434887\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −15.3170 | − | 21.0385i | −0.780625 | − | 1.07222i | ||||
\(386\) | −10.1983 | + | 22.6348i | −0.519077 | + | 1.15208i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.28650 | + | 0.765429i | 0.116079 | + | 0.0388588i | ||||
\(389\) | 1.63155 | − | 0.941976i | 0.0827229 | − | 0.0477601i | −0.458068 | − | 0.888917i | \(-0.651458\pi\) |
0.540791 | + | 0.841157i | \(0.318125\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.8079 | 1.55802 | ||||||||
\(392\) | −0.224666 | + | 19.7977i | −0.0113473 | + | 0.999936i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −9.09457 | + | 6.54613i | −0.458178 | + | 0.329789i | ||||
\(395\) | −34.1405 | + | 19.7110i | −1.71779 | + | 0.991768i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.50329 | + | 4.33582i | −0.125636 | + | 0.217609i | −0.921982 | − | 0.387234i | \(-0.873431\pi\) |
0.796345 | + | 0.604842i | \(0.206764\pi\) | |||||||
\(398\) | −10.4962 | + | 23.2962i | −0.526129 | + | 1.16773i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.75641 | + | 38.6432i | −0.237820 | + | 1.93216i | ||||
\(401\) | 13.4430 | − | 23.2840i | 0.671313 | − | 1.16275i | −0.306219 | − | 0.951961i | \(-0.599064\pi\) |
0.977532 | − | 0.210787i | \(-0.0676027\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.3915 | − | 30.1230i | −0.866334 | − | 1.50054i | ||||
\(404\) | −26.4269 | + | 5.37254i | −1.31479 | + | 0.267294i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 9.61735 | + | 3.16165i | 0.477301 | + | 0.156910i | ||||
\(407\) | 10.6859i | 0.529682i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.4884 | − | 12.9837i | 1.11198 | − | 0.642002i | 0.172638 | − | 0.984985i | \(-0.444771\pi\) |
0.939341 | + | 0.342984i | \(0.111438\pi\) | |||||||
\(410\) | −3.24061 | − | 32.2065i | −0.160043 | − | 1.59056i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.97221 | − | 7.88300i | −0.343496 | − | 0.388367i | ||||
\(413\) | −25.2868 | − | 11.2287i | −1.24428 | − | 0.552526i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.9406 | + | 8.62595i | 0.733404 | + | 0.423431i | ||||
\(416\) | −0.751945 | + | 33.8861i | −0.0368671 | + | 1.66140i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.97310 | − | 5.01913i | 0.341066 | − | 0.245494i | ||||
\(419\) | 33.9652i | 1.65931i | 0.558278 | + | 0.829654i | \(0.311462\pi\) | ||||
−0.558278 | + | 0.829654i | \(0.688538\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 2.75866i | − | 0.134449i | −0.997738 | − | 0.0672245i | \(-0.978586\pi\) | ||
0.997738 | − | 0.0672245i | \(-0.0214144\pi\) | |||||||
\(422\) | 0.578258 | + | 0.803376i | 0.0281491 | + | 0.0391077i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.78878 | − | 10.5847i | 0.475385 | − | 0.514040i | ||||
\(425\) | 34.4013 | + | 19.8616i | 1.66871 | + | 0.963430i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.07917 | + | 0.751082i | −0.342585 | + | 0.0363474i | ||||
\(428\) | −4.63536 | − | 5.24088i | −0.224058 | − | 0.253328i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −43.5383 | + | 4.38082i | −2.09960 | + | 0.211262i | ||||
\(431\) | 31.3514 | − | 18.1007i | 1.51014 | − | 0.871881i | 0.510213 | − | 0.860048i | \(-0.329567\pi\) |
0.999930 | − | 0.0118334i | \(-0.00376678\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 20.2448i | 0.972901i | 0.873708 | + | 0.486451i | \(0.161709\pi\) | ||||
−0.873708 | + | 0.486451i | \(0.838291\pi\) | |||||||
\(434\) | 21.2618 | − | 4.44260i | 1.02060 | − | 0.213252i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.88178 | − | 33.8507i | −0.329577 | − | 1.62115i | ||||
\(437\) | 8.94878 | + | 15.4997i | 0.428078 | + | 0.741453i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.6398 | − | 25.3569i | 0.698719 | − | 1.21022i | −0.270192 | − | 0.962806i | \(-0.587087\pi\) |
0.968911 | − | 0.247410i | \(-0.0795795\pi\) | |||||||
\(440\) | 26.5709 | − | 8.24401i | 1.26672 | − | 0.393018i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 31.5284 | + | 14.2053i | 1.49965 | + | 0.675678i | ||||
\(443\) | 11.6580 | − | 20.1922i | 0.553886 | − | 0.959359i | −0.444103 | − | 0.895976i | \(-0.646478\pi\) |
0.997989 | − | 0.0633831i | \(-0.0201890\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.8850 | − | 7.43915i | 0.610807 | − | 0.352650i | ||||
\(446\) | 2.08250 | + | 2.89322i | 0.0986092 | + | 0.136998i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −19.9558 | − | 7.05462i | −0.942821 | − | 0.333300i | ||||
\(449\) | 27.8410 | 1.31390 | 0.656949 | − | 0.753935i | \(-0.271847\pi\) | ||||
0.656949 | + | 0.753935i | \(0.271847\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.2328 | + | 7.63998i | −0.623110 | + | 0.359752i | ||||
\(452\) | 7.43838 | − | 22.2200i | 0.349872 | − | 1.04514i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.7206 | − | 4.83022i | −0.503141 | − | 0.226693i | ||||
\(455\) | 60.5101 | − | 6.41997i | 2.83676 | − | 0.300973i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.56098 | + | 16.5601i | −0.447244 | + | 0.774649i | −0.998205 | − | 0.0598816i | \(-0.980928\pi\) |
0.550962 | + | 0.834531i | \(0.314261\pi\) | |||||||
\(458\) | −7.36621 | + | 0.741188i | −0.344200 | + | 0.0346334i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.5457 | + | 56.7921i | 0.538323 | + | 2.64795i | ||||
\(461\) | 20.5529 | 0.957242 | 0.478621 | − | 0.878022i | \(-0.341137\pi\) | ||||
0.478621 | + | 0.878022i | \(0.341137\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 31.7517i | − | 1.47563i | −0.675005 | − | 0.737813i | \(-0.735858\pi\) | ||
0.675005 | − | 0.737813i | \(-0.264142\pi\) | |||||||
\(464\) | −6.51582 | + | 8.64147i | −0.302490 | + | 0.401170i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −30.9085 | + | 3.11001i | −1.43181 | + | 0.144069i | ||||
\(467\) | 0.764809 | + | 0.441563i | 0.0353911 | + | 0.0204331i | 0.517591 | − | 0.855628i | \(-0.326829\pi\) |
−0.482200 | + | 0.876061i | \(0.660162\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.11202 | − | 11.5122i | 0.236051 | − | 0.531584i | ||||
\(470\) | 0.910449 | − | 2.02072i | 0.0419959 | − | 0.0932090i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 20.0824 | − | 21.7154i | 0.924369 | − | 0.999531i | ||||
\(473\) | 10.3281 | + | 17.8888i | 0.474886 | + | 0.822527i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.0768i | 1.05884i | ||||||||
\(476\) | −14.5758 | + | 15.9334i | −0.668082 | + | 0.730305i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 32.7302 | − | 23.5587i | 1.49704 | − | 1.07755i | ||||
\(479\) | −17.7492 | − | 30.7425i | −0.810981 | − | 1.40466i | −0.912178 | − | 0.409794i | \(-0.865601\pi\) |
0.101197 | − | 0.994866i | \(-0.467733\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −21.6389 | − | 12.4932i | −0.986647 | − | 0.569641i | ||||
\(482\) | −11.9293 | − | 5.37480i | −0.543363 | − | 0.244816i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.87465 | + | 6.64207i | 0.267030 | + | 0.301912i | ||||
\(485\) | 4.00768 | + | 2.31384i | 0.181979 | + | 0.105066i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −30.6502 | + | 17.6959i | −1.38889 | + | 0.801878i | −0.993191 | − | 0.116500i | \(-0.962833\pi\) |
−0.395703 | + | 0.918378i | \(0.629499\pi\) | |||||||
\(488\) | 1.68125 | − | 7.42240i | 0.0761066 | − | 0.335996i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.99227 | + | 37.1487i | −0.361054 | + | 1.67821i | ||||
\(491\) | −34.2187 | −1.54427 | −0.772134 | − | 0.635460i | \(-0.780810\pi\) | ||||
−0.772134 | + | 0.635460i | \(0.780810\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.52093 | + | 9.56253i | 0.248650 | + | 0.430675i | ||||
\(494\) | 2.01123 | + | 19.9884i | 0.0904897 | + | 0.899322i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.83671 | + | 23.0467i | −0.127372 | + | 1.03483i | ||||
\(497\) | 2.59840 | − | 1.89175i | 0.116554 | − | 0.0848567i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.40315 | − | 4.16237i | 0.107580 | − | 0.186333i | −0.807210 | − | 0.590265i | \(-0.799023\pi\) |
0.914789 | + | 0.403932i | \(0.132357\pi\) | |||||||
\(500\) | −11.5360 | + | 34.4606i | −0.515907 | + | 1.54112i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.239458 | + | 0.172358i | −0.0106875 | + | 0.00769271i | ||||
\(503\) | −20.5529 | −0.916406 | −0.458203 | − | 0.888847i | \(-0.651507\pi\) | ||||
−0.458203 | + | 0.888847i | \(0.651507\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −51.7567 | −2.30314 | ||||||||
\(506\) | 22.2037 | − | 15.9819i | 0.987074 | − | 0.710481i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 19.8868 | + | 6.65729i | 0.882332 | + | 0.295370i | ||||
\(509\) | −1.83211 | + | 3.17332i | −0.0812070 | + | 0.140655i | −0.903769 | − | 0.428021i | \(-0.859211\pi\) |
0.822562 | + | 0.568676i | \(0.192544\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.5690 | + | 8.24563i | 0.821446 | + | 0.364765i | ||||
\(512\) | 14.0203 | − | 17.7604i | 0.619617 | − | 0.784904i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.79594 | + | 27.7871i | 0.123323 | + | 1.22564i | ||||
\(515\) | −10.0989 | − | 17.4918i | −0.445011 | − | 0.770782i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.04624 | −0.0460136 | ||||||||
\(518\) | 11.6314 | − | 10.4005i | 0.511057 | − | 0.456970i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −14.3707 | + | 63.4439i | −0.630197 | + | 2.78220i | ||||
\(521\) | −29.0599 | + | 16.7777i | −1.27314 | + | 0.735045i | −0.975577 | − | 0.219658i | \(-0.929506\pi\) |
−0.297559 | + | 0.954703i | \(0.596172\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.12127 | − | 1.22471i | −0.0927565 | − | 0.0535530i | 0.452904 | − | 0.891559i | \(-0.350388\pi\) |
−0.545661 | + | 0.838006i | \(0.683721\pi\) | |||||||
\(524\) | 3.35471 | − | 2.96711i | 0.146551 | − | 0.129619i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 20.9892 | + | 9.45683i | 0.915174 | + | 0.412337i | ||||
\(527\) | 20.5169 | + | 11.8454i | 0.893730 | + | 0.515995i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 16.9946 | + | 29.4355i | 0.738896 | + | 1.27981i | ||||
\(530\) | 22.4574 | − | 16.1645i | 0.975487 | − | 0.702141i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −12.2501 | − | 2.70505i | −0.531107 | − | 0.117279i | ||||
\(533\) | − | 35.7284i | − | 1.54757i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.71409 | − | 11.6292i | −0.290276 | − | 0.502772i | ||||
\(536\) | 9.88627 | + | 9.14284i | 0.427022 | + | 0.394911i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.63637 | + | 10.2903i | −0.199888 | + | 0.443647i | ||||
\(539\) | 17.5381 | − | 3.76386i | 0.755420 | − | 0.162121i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.1467 | + | 14.5185i | 1.08114 | + | 0.624197i | 0.931204 | − | 0.364498i | \(-0.118760\pi\) |
0.149937 | + | 0.988696i | \(0.452093\pi\) | |||||||
\(542\) | −17.6264 | + | 1.77357i | −0.757119 | + | 0.0761813i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −11.0964 | − | 20.2439i | −0.475755 | − | 0.867949i | ||||
\(545\) | − | 66.2960i | − | 2.83981i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −19.3001 | −0.825212 | −0.412606 | − | 0.910910i | \(-0.635381\pi\) | ||||
−0.412606 | + | 0.910910i | \(0.635381\pi\) | |||||||
\(548\) | 11.1334 | − | 2.26340i | 0.475596 | − | 0.0966878i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 35.0969 | − | 3.53145i | 1.49654 | − | 0.150581i | ||||
\(551\) | −3.20733 | + | 5.55525i | −0.136637 | + | 0.236662i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.86686 | − | 27.0210i | −0.121911 | − | 1.14905i | ||||
\(554\) | 25.9550 | + | 11.6942i | 1.10272 | + | 0.496838i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −28.4766 | − | 9.53282i | −1.20768 | − | 0.404282i | ||||
\(557\) | 12.1940 | − | 7.04023i | 0.516678 | − | 0.298304i | −0.218896 | − | 0.975748i | \(-0.570246\pi\) |
0.735574 | + | 0.677444i | \(0.236912\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −48.2994 | −2.04285 | ||||||||
\(560\) | −34.8345 | − | 20.8982i | −1.47203 | − | 0.883109i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.83950 | + | 2.55562i | 0.0775945 | + | 0.107802i | ||||
\(563\) | −31.6170 | + | 18.2541i | −1.33250 | + | 0.769319i | −0.985682 | − | 0.168614i | \(-0.946071\pi\) |
−0.346817 | + | 0.937933i | \(0.612737\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 22.4857 | − | 38.9463i | 0.945979 | − | 1.63848i | ||||
\(566\) | −4.31309 | − | 1.94329i | −0.181293 | − | 0.0816826i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.01819 | + | 3.28169i | 0.0427224 | + | 0.137697i | ||||
\(569\) | −7.10756 | + | 12.3107i | −0.297964 | + | 0.516089i | −0.975670 | − | 0.219244i | \(-0.929641\pi\) |
0.677706 | + | 0.735333i | \(0.262974\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.5206 | − | 40.7389i | −0.984307 | − | 1.70487i | −0.644978 | − | 0.764202i | \(-0.723133\pi\) |
−0.339329 | − | 0.940668i | \(-0.610200\pi\) | |||||||
\(572\) | 30.0921 | − | 6.11766i | 1.25821 | − | 0.255792i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 21.1953 | + | 6.96783i | 0.884675 | + | 0.290831i | ||||
\(575\) | 73.4810i | 3.06437i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.6447 | − | 14.2286i | 1.02597 | − | 0.592344i | 0.110143 | − | 0.993916i | \(-0.464869\pi\) |
0.915828 | + | 0.401572i | \(0.131536\pi\) | |||||||
\(578\) | 0.486103 | − | 0.0489116i | 0.0202192 | − | 0.00203446i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −15.5588 | + | 13.7611i | −0.646042 | + | 0.571399i | ||||
\(581\) | −9.61341 | + | 6.99899i | −0.398831 | + | 0.290367i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.3118 | − | 6.53085i | −0.468485 | − | 0.270480i | ||||
\(584\) | −14.7473 | + | 15.9464i | −0.610247 | + | 0.659868i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.16702 | − | 11.3465i | −0.337377 | − | 0.468719i | ||||
\(587\) | 43.1297i | 1.78015i | 0.455809 | + | 0.890077i | \(0.349350\pi\) | ||||
−0.455809 | + | 0.890077i | \(0.650650\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.7630i | 0.567093i | ||||||||
\(590\) | 46.0731 | − | 33.1627i | 1.89680 | − | 1.36529i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 6.51306 | + | 15.3564i | 0.267685 | + | 0.631146i | ||||
\(593\) | 24.3679 | + | 14.0688i | 1.00067 | + | 0.577736i | 0.908446 | − | 0.418002i | \(-0.137270\pi\) |
0.0922223 | + | 0.995738i | \(0.470603\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −33.5057 | + | 24.3936i | −1.37360 | + | 1.00004i | ||||
\(596\) | 5.02253 | − | 4.44224i | 0.205731 | − | 0.181961i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.40415 | + | 63.6470i | 0.261885 | + | 2.60272i | ||||
\(599\) | −24.3740 | + | 14.0724i | −0.995896 | + | 0.574981i | −0.907031 | − | 0.421063i | \(-0.861657\pi\) |
−0.0888644 | + | 0.996044i | \(0.528324\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 43.5777i | − | 1.77757i | −0.458322 | − | 0.888786i | \(-0.651549\pi\) | ||
0.458322 | − | 0.888786i | \(-0.348451\pi\) | |||||||
\(602\) | 9.41945 | − | 28.6528i | 0.383908 | − | 1.16780i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.93422 | − | 14.4331i | −0.119392 | − | 0.587275i | ||||
\(605\) | 8.50915 | + | 14.7383i | 0.345946 | + | 0.599196i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.20364 | − | 10.7450i | 0.251798 | − | 0.436127i | −0.712223 | − | 0.701953i | \(-0.752312\pi\) |
0.964021 | + | 0.265827i | \(0.0856448\pi\) | |||||||
\(608\) | 6.96169 | − | 11.4629i | 0.282334 | − | 0.464884i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.00000 | − | 13.3169i | 0.242933 | − | 0.539184i | ||||
\(611\) | 1.22319 | − | 2.11862i | 0.0494848 | − | 0.0857102i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.8762 | − | 12.0529i | 0.843180 | − | 0.486810i | −0.0151637 | − | 0.999885i | \(-0.504827\pi\) |
0.858344 | + | 0.513075i | \(0.171494\pi\) | |||||||
\(614\) | −4.11271 | + | 2.96026i | −0.165975 | + | 0.119467i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.23941 | + | 19.0447i | −0.0902285 | + | 0.767334i | ||||
\(617\) | −28.0014 | −1.12729 | −0.563647 | − | 0.826016i | \(-0.690602\pi\) | ||||
−0.563647 | + | 0.826016i | \(0.690602\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.1414 | + | 7.58717i | −0.528196 | + | 0.304954i | −0.740281 | − | 0.672297i | \(-0.765308\pi\) |
0.212086 | + | 0.977251i | \(0.431974\pi\) | |||||||
\(620\) | −14.1472 | + | 42.2606i | −0.568163 | + | 1.69723i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.2933 | − | 33.9432i | 0.613206 | − | 1.36100i | ||||
\(623\) | 1.08198 | + | 10.1980i | 0.0433488 | + | 0.408575i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.5383 | + | 18.2528i | −0.421531 | + | 0.730114i | ||||
\(626\) | −2.21630 | − | 22.0264i | −0.0885810 | − | 0.880353i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −17.7654 | + | 3.61166i | −0.708915 | + | 0.144121i | ||||
\(629\) | 17.0183 | 0.678564 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 37.1814i | − | 1.48017i | −0.672515 | − | 0.740084i | \(-0.734786\pi\) | ||
0.672515 | − | 0.740084i | \(-0.265214\pi\) | |||||||
\(632\) | 28.3311 | + | 6.41728i | 1.12695 | + | 0.255266i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.26568 | − | 22.5172i | −0.0899816 | − | 0.894272i | ||||
\(635\) | 34.8567 | + | 20.1245i | 1.38324 | + | 0.798616i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.8825 | + | 39.9148i | −0.510422 | + | 1.58148i | ||||
\(638\) | 8.93964 | + | 4.02781i | 0.353924 | + | 0.159463i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 33.1595 | − | 28.0421i | 1.31075 | − | 1.10846i | ||||
\(641\) | −7.27131 | − | 12.5943i | −0.287200 | − | 0.497444i | 0.685941 | − | 0.727658i | \(-0.259391\pi\) |
−0.973140 | + | 0.230213i | \(0.926058\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 22.1025i | − | 0.871639i | −0.900034 | − | 0.435820i | \(-0.856459\pi\) | ||
0.900034 | − | 0.435820i | \(-0.143541\pi\) | |||||||
\(644\) | −39.0065 | − | 8.61340i | −1.53707 | − | 0.339416i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −7.99342 | − | 11.1053i | −0.314497 | − | 0.436932i | ||||
\(647\) | 3.21337 | + | 5.56572i | 0.126331 | + | 0.218811i | 0.922252 | − | 0.386589i | \(-0.126347\pi\) |
−0.795922 | + | 0.605400i | \(0.793013\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.2069 | − | 13.3985i | −0.910952 | − | 0.525938i | ||||
\(650\) | −33.8815 | + | 75.1994i | −1.32894 | + | 2.94956i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −25.7947 | − | 29.1643i | −1.01020 | − | 1.14216i | ||||
\(653\) | −27.9561 | − | 16.1405i | −1.09401 | − | 0.631626i | −0.159367 | − | 0.987219i | \(-0.550945\pi\) |
−0.934641 | + | 0.355593i | \(0.884279\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.44387 | − | 4.29772i | 0.290856 | − | 0.167926i | ||||
\(656\) | −14.3600 | + | 19.0446i | −0.560662 | + | 0.743566i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.01829 | + | 1.13881i | 0.0396971 | + | 0.0443956i | ||||
\(659\) | −15.9496 | −0.621310 | −0.310655 | − | 0.950523i | \(-0.600548\pi\) | ||||
−0.310655 | + | 0.950523i | \(0.600548\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.77351 | − | 3.07180i | −0.0689814 | − | 0.119479i | 0.829472 | − | 0.558549i | \(-0.188642\pi\) |
−0.898453 | + | 0.439069i | \(0.855308\pi\) | |||||||
\(662\) | −22.8989 | + | 2.30408i | −0.889990 | + | 0.0895508i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.76704 | − | 12.1414i | −0.146190 | − | 0.471177i | ||||
\(665\) | −22.0050 | − | 9.77139i | −0.853319 | − | 0.378918i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.2127 | + | 17.6890i | −0.395439 | + | 0.684920i | ||||
\(668\) | 11.0839 | − | 33.1099i | 0.428848 | − | 1.28106i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 15.0978 | + | 20.9755i | 0.583280 | + | 0.810354i | ||||
\(671\) | −6.89488 | −0.266174 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.86727 | 0.380355 | 0.190178 | − | 0.981750i | \(-0.439094\pi\) | ||||
0.190178 | + | 0.981750i | \(0.439094\pi\) | |||||||
\(674\) | 4.88486 | + | 6.78656i | 0.188158 | + | 0.261408i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −14.5397 | + | 43.4331i | −0.559217 | + | 1.67050i | ||||
\(677\) | −17.1703 | + | 29.7398i | −0.659906 | + | 1.14299i | 0.320733 | + | 0.947170i | \(0.396071\pi\) |
−0.980639 | + | 0.195822i | \(0.937263\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.57871 | + | 1.87742i | −0.0989619 | + | 0.0720486i | ||||
\(680\) | −13.1293 | − | 42.3165i | −0.503486 | − | 1.62276i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 20.9317 | − | 2.10615i | 0.801516 | − | 0.0806485i | ||||
\(683\) | −20.2559 | − | 35.0842i | −0.775070 | − | 1.34246i | −0.934755 | − | 0.355292i | \(-0.884381\pi\) |
0.159686 | − | 0.987168i | \(-0.448952\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 21.8046 | 0.833112 | ||||||||
\(686\) | −21.1665 | − | 15.4266i | −0.808140 | − | 0.588991i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 25.7454 | + | 19.4125i | 0.981534 | + | 0.740095i | ||||
\(689\) | 26.4497 | − | 15.2708i | 1.00765 | − | 0.581770i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 35.0416 | + | 20.2313i | 1.33304 | + | 0.769634i | 0.985765 | − | 0.168128i | \(-0.0537722\pi\) |
0.347279 | + | 0.937762i | \(0.387106\pi\) | |||||||
\(692\) | −4.68334 | − | 5.29514i | −0.178034 | − | 0.201291i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 16.9238 | − | 37.5619i | 0.642417 | − | 1.42583i | ||||
\(695\) | −49.9125 | − | 28.8170i | −1.89329 | − | 1.09309i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 12.1673 | + | 21.0745i | 0.460871 | + | 0.798252i | ||||
\(698\) | −9.31975 | − | 12.9480i | −0.352758 | − | 0.490088i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −38.0032 | − | 34.7652i | −1.43639 | − | 1.31400i | ||||
\(701\) | − | 26.0983i | − | 0.985718i | −0.870109 | − | 0.492859i | \(-0.835952\pi\) | ||
0.870109 | − | 0.492859i | \(-0.164048\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.94330 | + | 8.56205i | 0.186440 | + | 0.322924i | ||||
\(704\) | −18.4990 | − | 8.83366i | −0.697208 | − | 0.332931i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −35.8415 | − | 16.1486i | −1.34891 | − | 0.607761i | ||||
\(707\) | 14.4782 | − | 32.6047i | 0.544508 | − | 1.22622i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.75011 | + | 2.16513i | 0.140838 | + | 0.0813131i | 0.568764 | − | 0.822501i | \(-0.307422\pi\) |
−0.427925 | + | 0.903814i | \(0.640755\pi\) | |||||||
\(710\) | 0.660204 | + | 6.56136i | 0.0247770 | + | 0.246243i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −10.6925 | − | 2.42195i | −0.400717 | − | 0.0907665i | ||||
\(713\) | 43.8239i | 1.64122i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 58.9348 | 2.20404 | ||||||||
\(716\) | 18.4080 | − | 3.74230i | 0.687938 | − | 0.139856i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.457604 | − | 4.54784i | −0.0170776 | − | 0.169724i | ||||
\(719\) | −2.88615 | + | 4.99895i | −0.107635 | + | 0.186429i | −0.914812 | − | 0.403880i | \(-0.867661\pi\) |
0.807177 | + | 0.590310i | \(0.200994\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.8442 | − | 1.46883i | 0.515583 | − | 0.0547021i | ||||
\(722\) | −7.77253 | + | 17.2510i | −0.289264 | + | 0.642015i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0586937 | + | 0.175331i | −0.00218133 | + | 0.00651611i | ||||
\(725\) | −22.8079 | + | 13.1681i | −0.847063 | + | 0.489052i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.4056 | 0.868066 | 0.434033 | − | 0.900897i | \(-0.357090\pi\) | ||||
0.434033 | + | 0.900897i | \(0.357090\pi\) | |||||||
\(728\) | −35.9471 | − | 26.8004i | −1.33229 | − | 0.993291i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −33.8332 | + | 24.3526i | −1.25222 | + | 0.901331i | ||||
\(731\) | 28.4895 | − | 16.4484i | 1.05372 | − | 0.608367i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.5792 | + | 25.2520i | −0.538496 | + | 0.932703i | 0.460489 | + | 0.887665i | \(0.347674\pi\) |
−0.998985 | + | 0.0450374i | \(0.985659\pi\) | |||||||
\(734\) | −0.162101 | + | 0.359780i | −0.00598326 | + | 0.0132797i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.1673 | − | 36.5002i | 0.817099 | − | 1.34542i | ||||
\(737\) | 6.09989 | − | 10.5653i | 0.224692 | − | 0.389179i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.59685 | + | 2.76583i | 0.0587412 | + | 0.101743i | 0.893901 | − | 0.448265i | \(-0.147958\pi\) |
−0.835159 | + | 0.550008i | \(0.814625\pi\) | |||||||
\(740\) | 6.37786 | + | 31.3720i | 0.234455 | + | 1.15326i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.90086 | + | 18.6690i | 0.143205 | + | 0.685362i | ||||
\(743\) | − | 38.2187i | − | 1.40211i | −0.713108 | − | 0.701054i | \(-0.752713\pi\) | ||
0.713108 | − | 0.701054i | \(-0.247287\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 11.1447 | − | 6.43437i | 0.408309 | − | 0.235737i | ||||
\(746\) | 4.41305 | + | 43.8586i | 0.161573 | + | 1.60578i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −15.6665 | + | 13.8564i | −0.572824 | + | 0.506640i | ||||
\(749\) | 9.20406 | − | 0.976527i | 0.336309 | − | 0.0356815i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.9634 | + | 6.90707i | 0.436551 | + | 0.252043i | 0.702133 | − | 0.712045i | \(-0.252231\pi\) |
−0.265583 | + | 0.964088i | \(0.585564\pi\) | |||||||
\(752\) | −1.50352 | + | 0.637681i | −0.0548278 | + | 0.0232538i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −18.6078 | + | 13.3936i | −0.677657 | + | 0.487767i | ||||
\(755\) | − | 28.2670i | − | 1.02874i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 35.8711i | − | 1.30376i | −0.758324 | − | 0.651878i | \(-0.773981\pi\) | ||
0.758324 | − | 0.651878i | \(-0.226019\pi\) | |||||||
\(758\) | −19.8409 | − | 27.5651i | −0.720655 | − | 1.00121i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 17.4761 | − | 18.8971i | 0.633925 | − | 0.685471i | ||||
\(761\) | 30.6897 | + | 17.7187i | 1.11250 | + | 0.642302i | 0.939476 | − | 0.342616i | \(-0.111313\pi\) |
0.173024 | + | 0.984918i | \(0.444646\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 41.7638 | + | 18.5453i | 1.51195 | + | 0.671386i | ||||
\(764\) | −1.26433 | + | 1.11825i | −0.0457418 | + | 0.0404568i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.7848 | + | 2.09137i | −0.750986 | + | 0.0755641i | ||||
\(767\) | 54.2636 | − | 31.3291i | 1.95935 | − | 1.13123i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 27.3235i | 0.985311i | 0.870225 | + | 0.492655i | \(0.163974\pi\) | ||||
−0.870225 | + | 0.492655i | \(0.836026\pi\) | |||||||
\(770\) | −11.4936 | + | 34.9622i | −0.414201 | + | 1.25995i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 34.4057 | − | 6.99462i | 1.23829 | − | 0.251742i | ||||
\(773\) | −20.6653 | − | 35.7933i | −0.743278 | − | 1.28739i | −0.950995 | − | 0.309206i | \(-0.899937\pi\) |
0.207718 | − | 0.978189i | \(-0.433396\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −28.2529 | + | 48.9354i | −1.01487 | + | 1.75781i | ||||
\(776\) | −1.01048 | − | 3.25682i | −0.0362740 | − | 0.116913i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −2.42914 | − | 1.09446i | −0.0870887 | − | 0.0392384i | ||||
\(779\) | −7.06849 | + | 12.2430i | −0.253255 | + | 0.438651i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.69590 | − | 1.55648i | 0.0964668 | − | 0.0556951i | ||||
\(782\) | −25.4526 | − | 35.3614i | −0.910182 | − | 1.26452i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 22.9094 | − | 16.0984i | 0.818194 | − | 0.574942i | ||||
\(785\) | −34.7932 | −1.24182 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −34.1512 | + | 19.7172i | −1.21736 | + | 0.702843i | −0.964353 | − | 0.264621i | \(-0.914753\pi\) |
−0.253008 | + | 0.967464i | \(0.581420\pi\) | |||||||
\(788\) | 15.0273 | + | 5.03054i | 0.535325 | + | 0.179205i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 50.8301 | + | 22.9018i | 1.80845 | + | 0.814810i | ||||
\(791\) | 18.2446 | + | 25.0597i | 0.648703 | + | 0.891021i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.06098 | − | 13.9620i | 0.286254 | − | 0.495806i | ||||
\(794\) | 7.04479 | − | 0.708846i | 0.250010 | − | 0.0251560i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 35.4110 | − | 7.19900i | 1.25511 | − | 0.255162i | ||||
\(797\) | 2.23985 | 0.0793395 | 0.0396697 | − | 0.999213i | \(-0.487369\pi\) | ||||
0.0396697 | + | 0.999213i | \(0.487369\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.66623i | 0.0589470i | ||||||||
\(800\) | 48.2843 | − | 26.4664i | 1.70711 | − | 0.935729i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −37.8316 | + | 3.80661i | −1.33588 | + | 0.134416i | ||||
\(803\) | 17.0417 | + | 9.83905i | 0.601390 | + | 0.347213i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −70.0683 | − | 31.1140i | −2.46958 | − | 1.09662i | ||||
\(806\) | −20.2069 | + | 44.8487i | −0.711757 | + | 1.57973i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 27.9997 | + | 25.8942i | 0.985026 | + | 0.910954i | ||||
\(809\) | 2.10727 | + | 3.64989i | 0.0740876 | + | 0.128323i | 0.900689 | − | 0.434464i | \(-0.143062\pi\) |
−0.826602 | + | 0.562788i | \(0.809729\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 19.7835i | − | 0.694694i | −0.937737 | − | 0.347347i | \(-0.887083\pi\) | ||
0.937737 | − | 0.347347i | \(-0.112917\pi\) | |||||||
\(812\) | −4.31662 | − | 13.6509i | −0.151484 | − | 0.479051i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 12.2653 | − | 8.82838i | 0.429899 | − | 0.309435i | ||||
\(815\) | −37.3624 | − | 64.7135i | −1.30875 | − | 2.26682i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 16.5507 | + | 9.55554i | 0.579035 | + | 0.334306i | ||||
\(818\) | −33.4819 | − | 15.0855i | −1.17067 | − | 0.527451i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −34.2893 | + | 30.3276i | −1.19743 | + | 1.05908i | ||||
\(821\) | 21.2969 | + | 12.2958i | 0.743268 | + | 0.429126i | 0.823256 | − | 0.567670i | \(-0.192155\pi\) |
−0.0799882 | + | 0.996796i | \(0.525488\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.30737 | − | 3.06421i | 0.185003 | − | 0.106812i | −0.404638 | − | 0.914477i | \(-0.632602\pi\) |
0.589641 | + | 0.807665i | \(0.299269\pi\) | |||||||
\(824\) | −3.28788 | + | 14.5154i | −0.114539 | + | 0.505667i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 8.00290 | + | 38.3009i | 0.278457 | + | 1.33266i | ||||
\(827\) | 41.0673 | 1.42805 | 0.714026 | − | 0.700119i | \(-0.246870\pi\) | ||||
0.714026 | + | 0.700119i | \(0.246870\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.14363 | + | 14.1052i | 0.282840 | + | 0.489893i | 0.972083 | − | 0.234637i | \(-0.0753901\pi\) |
−0.689243 | + | 0.724530i | \(0.742057\pi\) | |||||||
\(830\) | −2.44258 | − | 24.2753i | −0.0847831 | − | 0.842608i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 39.5157 | − | 27.1326i | 1.36996 | − | 0.940652i | ||||
\(833\) | −5.99429 | − | 27.9310i | −0.207690 | − | 0.967752i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 33.5057 | − | 58.0336i | 1.15951 | − | 2.00834i | ||||
\(836\) | −11.5219 | − | 3.85708i | −0.398494 | − | 0.133400i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 38.9852 | − | 28.0610i | 1.34672 | − | 0.969351i | ||||
\(839\) | −40.4513 | −1.39653 | −0.698266 | − | 0.715838i | \(-0.746045\pi\) | ||||
−0.698266 | + | 0.715838i | \(0.746045\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.6793 | 0.747563 | ||||||||
\(842\) | −3.16640 | + | 2.27912i | −0.109121 | + | 0.0785438i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.444376 | − | 1.32745i | 0.0152961 | − | 0.0456927i | ||||
\(845\) | −43.9523 | + | 76.1276i | −1.51201 | + | 2.61887i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.6648 | + | 1.23761i | −0.400808 | + | 0.0425247i | ||||
\(848\) | −20.2363 | − | 2.49079i | −0.694919 | − | 0.0855342i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.62414 | − | 55.8949i | −0.192907 | − | 1.91718i | ||||
\(851\) | 15.7404 | + | 27.2632i | 0.539575 | + | 0.934571i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −38.0308 | −1.30215 | −0.651075 | − | 0.759013i | \(-0.725682\pi\) | ||||
−0.651075 | + | 0.759013i | \(0.725682\pi\) | |||||||
\(854\) | 6.71068 | + | 7.50495i | 0.229635 | + | 0.256814i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.18590 | + | 9.65032i | −0.0747124 | + | 0.329841i | ||||
\(857\) | −34.7732 | + | 20.0763i | −1.18783 | + | 0.685794i | −0.957813 | − | 0.287393i | \(-0.907212\pi\) |
−0.230017 | + | 0.973187i | \(0.573878\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.6875 | − | 14.8307i | −0.876446 | − | 0.506016i | −0.00696080 | − | 0.999976i | \(-0.502216\pi\) |
−0.869485 | + | 0.493960i | \(0.835549\pi\) | |||||||
\(860\) | 40.9983 | + | 46.3540i | 1.39803 | + | 1.58066i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −46.6776 | − | 21.0309i | −1.58984 | − | 0.716314i | ||||
\(863\) | −8.93311 | − | 5.15753i | −0.304087 | − | 0.175564i | 0.340191 | − | 0.940356i | \(-0.389508\pi\) |
−0.644277 | + | 0.764792i | \(0.722842\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −6.78360 | − | 11.7495i | −0.230649 | − | 0.399496i | ||||
\(866\) | 23.2369 | − | 16.7256i | 0.789624 | − | 0.568359i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −22.6650 | − | 20.7339i | −0.769301 | − | 0.703755i | ||||
\(869\) | − | 26.3175i | − | 0.892761i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.2631 | + | 24.7044i | 0.483286 | + | 0.837076i | ||||
\(872\) | −33.1683 | + | 35.8653i | −1.12322 | + | 1.21455i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 10.3974 | − | 23.0768i | 0.351697 | − | 0.780585i | ||||
\(875\) | −28.2952 | − | 38.8646i | −0.956551 | − | 1.31386i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.25040 | + | 1.29927i | 0.0759907 | + | 0.0438733i | 0.537514 | − | 0.843255i | \(-0.319364\pi\) |
−0.461523 | + | 0.887128i | \(0.652697\pi\) | |||||||
\(878\) | −41.1995 | + | 4.14549i | −1.39042 | + | 0.139904i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −31.4145 | − | 23.6871i | −1.05898 | − | 0.798492i | ||||
\(881\) | 16.6411i | 0.560654i | 0.959905 | + | 0.280327i | \(0.0904428\pi\) | ||||
−0.959905 | + | 0.280327i | \(0.909557\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −7.02636 | −0.236456 | −0.118228 | − | 0.992986i | \(-0.537721\pi\) | ||||
−0.118228 | + | 0.992986i | \(0.537721\pi\) | |||||||
\(884\) | −9.74292 | − | 47.9243i | −0.327690 | − | 1.61187i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −32.8080 | + | 3.30114i | −1.10221 | + | 0.110904i | ||||
\(887\) | 19.9044 | − | 34.4755i | 0.668326 | − | 1.15757i | −0.310046 | − | 0.950722i | \(-0.600344\pi\) |
0.978372 | − | 0.206853i | \(-0.0663222\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −22.4283 | + | 16.3288i | −0.752220 | + | 0.547649i | ||||
\(890\) | −19.1838 | − | 8.64340i | −0.643044 | − | 0.289727i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 1.60035 | − | 4.78058i | 0.0535836 | − | 0.160066i | ||||
\(893\) | −0.838295 | + | 0.483990i | −0.0280525 | + | 0.0161961i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 36.0517 | 1.20508 | ||||||||
\(896\) | 8.38953 | + | 28.7335i | 0.280275 | + | 0.959920i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −23.0014 | − | 31.9559i | −0.767565 | − | 1.06638i | ||||
\(899\) | −13.6026 | + | 7.85345i | −0.453671 | + | 0.261927i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.4010 | + | 18.0150i | −0.346506 | + | 0.600166i | ||||
\(902\) | 19.7017 | + | 8.87673i | 0.655995 | + | 0.295563i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −31.6495 | + | 9.81973i | −1.05265 | + | 0.326599i | ||||
\(905\) | −0.177427 | + | 0.307312i | −0.00589786 | + | 0.0102154i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 4.67603 | + | 8.09911i | 0.155265 | + | 0.268927i | 0.933155 | − | 0.359473i | \(-0.117044\pi\) |
−0.777891 | + | 0.628400i | \(0.783710\pi\) | |||||||
\(908\) | 3.31287 | + | 16.2956i | 0.109942 | + | 0.540790i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −57.3604 | − | 64.1495i | −1.90148 | − | 2.12654i | ||||
\(911\) | 23.5328i | 0.779678i | 0.920883 | + | 0.389839i | \(0.127469\pi\) | ||||
−0.920883 | + | 0.389839i | \(0.872531\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.97411 | + | 5.75855i | −0.330095 | + | 0.190580i | ||||
\(914\) | 26.9067 | − | 2.70735i | 0.889994 | − | 0.0895511i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.93647 | + | 7.84259i | 0.229187 | + | 0.259127i | ||||
\(917\) | 0.625080 | + | 5.89156i | 0.0206420 | + | 0.194557i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.5743 | + | 6.68240i | 0.381799 | + | 0.220432i | 0.678601 | − | 0.734507i | \(-0.262587\pi\) |
−0.296801 | + | 0.954939i | \(0.595920\pi\) | |||||||
\(920\) | 55.6473 | − | 60.1721i | 1.83464 | − | 1.98382i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.9801 | − | 23.5906i | −0.559211 | − | 0.776914i | ||||
\(923\) | 7.27887i | 0.239587i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 40.5909i | 1.33462i | ||||||||
\(926\) | −36.4446 | + | 26.2323i | −1.19764 | + | 0.862046i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 15.3018 | + | 0.339553i | 0.502308 | + | 0.0111464i | ||||
\(929\) | 31.1417 | + | 17.9797i | 1.02173 | + | 0.589895i | 0.914604 | − | 0.404351i | \(-0.132503\pi\) |
0.107123 | + | 0.994246i | \(0.465836\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.3112 | − | 11.1289i | 0.403482 | − | 0.364735i | ||||
\(932\) | 29.1053 | + | 32.9074i | 0.953377 | + | 1.07792i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.125036 | − | 1.24265i | −0.00409129 | − | 0.0406608i | ||||
\(935\) | −34.7629 | + | 20.0703i | −1.13687 | + | 0.656370i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 52.0867i | 1.70160i | 0.525491 | + | 0.850799i | \(0.323882\pi\) | ||||
−0.525491 | + | 0.850799i | \(0.676118\pi\) | |||||||
\(938\) | −17.4371 | + | 3.64345i | −0.569342 | + | 0.118963i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.07157 | + | 0.624445i | −0.100184 | + | 0.0203671i | ||||
\(941\) | 19.6811 | + | 34.0886i | 0.641584 | + | 1.11126i | 0.985079 | + | 0.172102i | \(0.0550558\pi\) |
−0.343495 | + | 0.939154i | \(0.611611\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −22.5074 | + | 38.9840i | −0.732943 | + | 1.26949i | ||||
\(944\) | −41.5164 | − | 5.11005i | −1.35124 | − | 0.166318i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 12.0000 | − | 26.6337i | 0.390154 | − | 0.865938i | ||||
\(947\) | 19.5007 | − | 33.7762i | 0.633688 | − | 1.09758i | −0.353104 | − | 0.935584i | \(-0.614874\pi\) |
0.986792 | − | 0.161995i | \(-0.0517929\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −39.8479 | + | 23.0062i | −1.29352 | + | 0.746812i | ||||
\(950\) | 26.4876 | − | 19.0653i | 0.859370 | − | 0.618561i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 30.3304 | + | 3.56646i | 0.983015 | + | 0.115590i | ||||
\(953\) | −48.3027 | −1.56468 | −0.782340 | − | 0.622852i | \(-0.785974\pi\) | ||||
−0.782340 | + | 0.622852i | \(0.785974\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.80546 | + | 1.61973i | −0.0907824 | + | 0.0524133i | ||||
\(956\) | −54.0813 | − | 18.1043i | −1.74911 | − | 0.585533i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −20.6224 | + | 45.7710i | −0.666280 | + | 1.47879i | ||||
\(959\) | −6.09952 | + | 13.7360i | −0.196964 | + | 0.443560i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1.34996 | + | 2.33821i | −0.0435472 | + | 0.0754260i | ||||
\(962\) | 3.53765 | + | 35.1586i | 0.114058 | + | 1.13356i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.68638 | + | 18.1329i | 0.118730 | + | 0.584021i | ||||
\(965\) | 67.3831 | 2.16914 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.5292i | 0.563703i | 0.959458 | + | 0.281851i | \(0.0909485\pi\) | ||||
−0.959458 | + | 0.281851i | \(0.909052\pi\) | |||||||
\(968\) | 2.77031 | − | 12.2304i | 0.0890411 | − | 0.393100i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.655200 | − | 6.51163i | −0.0210372 | − | 0.209076i | ||||
\(971\) | 9.98701 | + | 5.76600i | 0.320498 | + | 0.185040i | 0.651615 | − | 0.758550i | \(-0.274092\pi\) |
−0.331116 | + | 0.943590i | \(0.607425\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 32.1158 | − | 23.3817i | 1.02959 | − | 0.749584i | ||||
\(974\) | 45.6336 | + | 20.5605i | 1.46220 | + | 0.658801i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −9.90843 | + | 4.20242i | −0.317161 | + | 0.134516i | ||||
\(977\) | −19.8176 | − | 34.3250i | −0.634020 | − | 1.09816i | −0.986722 | − | 0.162419i | \(-0.948070\pi\) |
0.352702 | − | 0.935736i | \(-0.385263\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.93253i | 0.317445i | ||||||||
\(980\) | 49.2423 | − | 21.5176i | 1.57299 | − | 0.687354i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 28.2704 | + | 39.2762i | 0.902145 | + | 1.25335i | ||||
\(983\) | 29.0730 | + | 50.3560i | 0.927286 | + | 1.60611i | 0.787843 | + | 0.615876i | \(0.211198\pi\) |
0.139443 | + | 0.990230i | \(0.455469\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 26.3392 | + | 15.2069i | 0.839237 | + | 0.484533i | ||||
\(986\) | 6.41465 | − | 14.2372i | 0.204284 | − | 0.453404i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 21.2811 | − | 18.8223i | 0.677042 | − | 0.598817i | ||||
\(989\) | 52.7005 | + | 30.4267i | 1.67578 | + | 0.967511i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 9.48813 | − | 5.47798i | 0.301400 | − | 0.174014i | −0.341671 | − | 0.939819i | \(-0.610993\pi\) |
0.643072 | + | 0.765806i | \(0.277660\pi\) | |||||||
\(992\) | 28.7966 | − | 15.7845i | 0.914294 | − | 0.501159i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.31808 | − | 1.41954i | −0.136961 | − | 0.0450251i | ||||
\(995\) | 69.3520 | 2.19861 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.5416 | − | 23.4547i | −0.428866 | − | 0.742818i | 0.567907 | − | 0.823093i | \(-0.307753\pi\) |
−0.996773 | + | 0.0802751i | \(0.974420\pi\) | |||||||
\(998\) | −6.76298 | + | 0.680490i | −0.214078 | + | 0.0215405i | ||||
\(999\) | 0 | 0 |
(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 | 504.2.bk.b.19.5 | yes | 32 | |
3.2 | odd | 2 | inner | 504.2.bk.b.19.12 | yes | 32 | |
4.3 | odd | 2 | 2016.2.bs.b.271.1 | 32 | |||
7.3 | odd | 6 | inner | 504.2.bk.b.451.16 | yes | 32 | |
8.3 | odd | 2 | inner | 504.2.bk.b.19.16 | yes | 32 | |
8.5 | even | 2 | 2016.2.bs.b.271.15 | 32 | |||
12.11 | even | 2 | 2016.2.bs.b.271.16 | 32 | |||
21.17 | even | 6 | inner | 504.2.bk.b.451.1 | yes | 32 | |
24.5 | odd | 2 | 2016.2.bs.b.271.2 | 32 | |||
24.11 | even | 2 | inner | 504.2.bk.b.19.1 | ✓ | 32 | |
28.3 | even | 6 | 2016.2.bs.b.1711.15 | 32 | |||
56.3 | even | 6 | inner | 504.2.bk.b.451.5 | yes | 32 | |
56.45 | odd | 6 | 2016.2.bs.b.1711.1 | 32 | |||
84.59 | odd | 6 | 2016.2.bs.b.1711.2 | 32 | |||
168.59 | odd | 6 | inner | 504.2.bk.b.451.12 | yes | 32 | |
168.101 | even | 6 | 2016.2.bs.b.1711.16 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bk.b.19.1 | ✓ | 32 | 24.11 | even | 2 | inner | |
504.2.bk.b.19.5 | yes | 32 | 1.1 | even | 1 | trivial | |
504.2.bk.b.19.12 | yes | 32 | 3.2 | odd | 2 | inner | |
504.2.bk.b.19.16 | yes | 32 | 8.3 | odd | 2 | inner | |
504.2.bk.b.451.1 | yes | 32 | 21.17 | even | 6 | inner | |
504.2.bk.b.451.5 | yes | 32 | 56.3 | even | 6 | inner | |
504.2.bk.b.451.12 | yes | 32 | 168.59 | odd | 6 | inner | |
504.2.bk.b.451.16 | yes | 32 | 7.3 | odd | 6 | inner | |
2016.2.bs.b.271.1 | 32 | 4.3 | odd | 2 | |||
2016.2.bs.b.271.2 | 32 | 24.5 | odd | 2 | |||
2016.2.bs.b.271.15 | 32 | 8.5 | even | 2 | |||
2016.2.bs.b.271.16 | 32 | 12.11 | even | 2 | |||
2016.2.bs.b.1711.1 | 32 | 56.45 | odd | 6 | |||
2016.2.bs.b.1711.2 | 32 | 84.59 | odd | 6 | |||
2016.2.bs.b.1711.15 | 32 | 28.3 | even | 6 | |||
2016.2.bs.b.1711.16 | 32 | 168.101 | even | 6 |