Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 79.2 | ||
Character | \(\chi\) | \(=\) | 354.79 |
Dual form | 354.2.e.b.121.2 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{4}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.907575 | − | 0.419889i | −0.641753 | − | 0.296906i | ||||
\(3\) | 0.947653 | − | 0.319302i | 0.547128 | − | 0.184349i | ||||
\(4\) | 0.647386 | + | 0.762162i | 0.323693 | + | 0.381081i | ||||
\(5\) | 1.82294 | − | 1.09682i | 0.815242 | − | 0.490515i | −0.0458596 | − | 0.998948i | \(-0.514603\pi\) |
0.861101 | + | 0.508433i | \(0.169775\pi\) | |||||||
\(6\) | −0.994138 | − | 0.108119i | −0.405855 | − | 0.0441394i | ||||
\(7\) | −0.192354 | − | 3.54777i | −0.0727031 | − | 1.34093i | −0.776315 | − | 0.630345i | \(-0.782913\pi\) |
0.703612 | − | 0.710585i | \(-0.251570\pi\) | |||||||
\(8\) | −0.267528 | − | 0.963550i | −0.0945856 | − | 0.340666i | ||||
\(9\) | 0.796093 | − | 0.605174i | 0.265364 | − | 0.201725i | ||||
\(10\) | −2.11500 | + | 0.230020i | −0.668821 | + | 0.0727386i | ||||
\(11\) | 0.389551 | + | 2.37615i | 0.117454 | + | 0.716437i | 0.978241 | + | 0.207472i | \(0.0665236\pi\) |
−0.860787 | + | 0.508965i | \(0.830028\pi\) | |||||||
\(12\) | 0.856857 | + | 0.515554i | 0.247353 | + | 0.148828i | ||||
\(13\) | −3.04455 | − | 2.31441i | −0.844407 | − | 0.641901i | 0.0908525 | − | 0.995864i | \(-0.471041\pi\) |
−0.935259 | + | 0.353963i | \(0.884834\pi\) | |||||||
\(14\) | −1.31509 | + | 3.30063i | −0.351473 | + | 0.882132i | ||||
\(15\) | 1.37729 | − | 1.62148i | 0.355616 | − | 0.418663i | ||||
\(16\) | −0.161782 | + | 0.986827i | −0.0404455 | + | 0.246707i | ||||
\(17\) | −0.0145950 | + | 0.269188i | −0.00353980 | + | 0.0652877i | −0.999770 | − | 0.0214661i | \(-0.993167\pi\) |
0.996230 | + | 0.0867538i | \(0.0276494\pi\) | |||||||
\(18\) | −0.976621 | + | 0.214970i | −0.230192 | + | 0.0506690i | ||||
\(19\) | −1.55591 | − | 1.47384i | −0.356951 | − | 0.338122i | 0.488120 | − | 0.872777i | \(-0.337683\pi\) |
−0.845070 | + | 0.534655i | \(0.820442\pi\) | |||||||
\(20\) | 2.01610 | + | 0.679304i | 0.450814 | + | 0.151897i | ||||
\(21\) | −1.31509 | − | 3.30063i | −0.286977 | − | 0.720257i | ||||
\(22\) | 0.644175 | − | 2.32011i | 0.137338 | − | 0.494649i | ||||
\(23\) | 7.94654 | + | 1.74916i | 1.65697 | + | 0.364726i | 0.942308 | − | 0.334747i | \(-0.108651\pi\) |
0.714659 | + | 0.699473i | \(0.246582\pi\) | |||||||
\(24\) | −0.561187 | − | 0.827689i | −0.114552 | − | 0.168951i | ||||
\(25\) | −0.221970 | + | 0.418679i | −0.0443939 | + | 0.0837358i | ||||
\(26\) | 1.79137 | + | 3.37887i | 0.351316 | + | 0.662652i | ||||
\(27\) | 0.561187 | − | 0.827689i | 0.108001 | − | 0.159289i | ||||
\(28\) | 2.57945 | − | 2.44338i | 0.487470 | − | 0.461756i | ||||
\(29\) | −1.95486 | + | 0.904416i | −0.363009 | + | 0.167946i | −0.592911 | − | 0.805268i | \(-0.702021\pi\) |
0.229902 | + | 0.973214i | \(0.426159\pi\) | |||||||
\(30\) | −1.93084 | + | 0.893301i | −0.352521 | + | 0.163094i | ||||
\(31\) | 2.08407 | − | 1.97414i | 0.374311 | − | 0.354566i | −0.477300 | − | 0.878740i | \(-0.658385\pi\) |
0.851611 | + | 0.524174i | \(0.175626\pi\) | |||||||
\(32\) | 0.561187 | − | 0.827689i | 0.0992048 | − | 0.146316i | ||||
\(33\) | 1.12787 | + | 2.12739i | 0.196337 | + | 0.370330i | ||||
\(34\) | 0.126275 | − | 0.238180i | 0.0216560 | − | 0.0408476i | ||||
\(35\) | −4.24193 | − | 6.25638i | −0.717017 | − | 1.05752i | ||||
\(36\) | 0.976621 | + | 0.214970i | 0.162770 | + | 0.0358284i | ||||
\(37\) | 0.314922 | − | 1.13425i | 0.0517728 | − | 0.186469i | −0.933142 | − | 0.359507i | \(-0.882945\pi\) |
0.984915 | + | 0.173039i | \(0.0553585\pi\) | |||||||
\(38\) | 0.793259 | + | 1.99093i | 0.128684 | + | 0.322971i | ||||
\(39\) | −3.62417 | − | 1.22113i | −0.580332 | − | 0.195537i | ||||
\(40\) | −1.54453 | − | 1.46306i | −0.244212 | − | 0.231330i | ||||
\(41\) | −5.57339 | + | 1.22680i | −0.870417 | + | 0.191593i | −0.627654 | − | 0.778492i | \(-0.715985\pi\) |
−0.242763 | + | 0.970086i | \(0.578054\pi\) | |||||||
\(42\) | −0.192354 | + | 3.54777i | −0.0296809 | + | 0.547432i | ||||
\(43\) | 1.77439 | − | 10.8233i | 0.270592 | − | 1.65054i | −0.405773 | − | 0.913974i | \(-0.632998\pi\) |
0.676366 | − | 0.736566i | \(-0.263554\pi\) | |||||||
\(44\) | −1.55882 | + | 1.83519i | −0.235002 | + | 0.276665i | ||||
\(45\) | 0.787457 | − | 1.97637i | 0.117387 | − | 0.294620i | ||||
\(46\) | −6.47763 | − | 4.92416i | −0.955074 | − | 0.726028i | ||||
\(47\) | 7.10345 | + | 4.27401i | 1.03614 | + | 0.623428i | 0.928719 | − | 0.370785i | \(-0.120911\pi\) |
0.107426 | + | 0.994213i | \(0.465739\pi\) | |||||||
\(48\) | 0.161782 | + | 0.986827i | 0.0233512 | + | 0.142436i | ||||
\(49\) | −5.59069 | + | 0.608024i | −0.798670 | + | 0.0868606i | ||||
\(50\) | 0.377253 | − | 0.286780i | 0.0533516 | − | 0.0405568i | ||||
\(51\) | 0.0721212 | + | 0.259757i | 0.0100990 | + | 0.0363733i | ||||
\(52\) | −0.207047 | − | 3.81876i | −0.0287123 | − | 0.529567i | ||||
\(53\) | −0.282076 | − | 0.0306777i | −0.0387462 | − | 0.00421390i | 0.0887254 | − | 0.996056i | \(-0.471721\pi\) |
−0.127472 | + | 0.991842i | \(0.540686\pi\) | |||||||
\(54\) | −0.856857 | + | 0.515554i | −0.116603 | + | 0.0701580i | ||||
\(55\) | 3.31635 | + | 3.90431i | 0.447177 | + | 0.526457i | ||||
\(56\) | −3.36699 | + | 1.13447i | −0.449933 | + | 0.151600i | ||||
\(57\) | −1.94506 | − | 0.899882i | −0.257630 | − | 0.119192i | ||||
\(58\) | 2.15394 | 0.282826 | ||||||||
\(59\) | −2.66736 | + | 7.20314i | −0.347261 | + | 0.937769i | ||||
\(60\) | 2.12747 | 0.274655 | ||||||||
\(61\) | 9.80821 | + | 4.53776i | 1.25581 | + | 0.581001i | 0.931083 | − | 0.364807i | \(-0.118865\pi\) |
0.324729 | + | 0.945807i | \(0.394727\pi\) | |||||||
\(62\) | −2.72037 | + | 0.916600i | −0.345488 | + | 0.116408i | ||||
\(63\) | −2.30015 | − | 2.70795i | −0.289792 | − | 0.341169i | ||||
\(64\) | −0.856857 | + | 0.515554i | −0.107107 | + | 0.0644442i | ||||
\(65\) | −8.08852 | − | 0.879680i | −1.00326 | − | 0.109111i | ||||
\(66\) | −0.130360 | − | 2.40434i | −0.0160462 | − | 0.295954i | ||||
\(67\) | 2.21678 | + | 7.98413i | 0.270823 | + | 0.975416i | 0.966417 | + | 0.256981i | \(0.0827277\pi\) |
−0.695594 | + | 0.718436i | \(0.744859\pi\) | |||||||
\(68\) | −0.214613 | + | 0.163145i | −0.0260257 | + | 0.0197842i | ||||
\(69\) | 8.08907 | − | 0.879740i | 0.973810 | − | 0.105908i | ||||
\(70\) | 1.22289 | + | 7.45927i | 0.146163 | + | 0.891554i | ||||
\(71\) | 2.33240 | + | 1.40336i | 0.276805 | + | 0.166548i | 0.647187 | − | 0.762331i | \(-0.275945\pi\) |
−0.370381 | + | 0.928880i | \(0.620773\pi\) | |||||||
\(72\) | −0.796093 | − | 0.605174i | −0.0938205 | − | 0.0713205i | ||||
\(73\) | −4.10476 | + | 10.3022i | −0.480426 | + | 1.20578i | 0.466556 | + | 0.884492i | \(0.345495\pi\) |
−0.946982 | + | 0.321287i | \(0.895885\pi\) | |||||||
\(74\) | −0.762073 | + | 0.897182i | −0.0885892 | + | 0.104295i | ||||
\(75\) | −0.0766653 | + | 0.467638i | −0.00885255 | + | 0.0539981i | ||||
\(76\) | 0.116027 | − | 2.14000i | 0.0133093 | − | 0.245475i | ||||
\(77\) | 8.35511 | − | 1.83910i | 0.952153 | − | 0.209585i | ||||
\(78\) | 2.77647 | + | 2.63002i | 0.314374 | + | 0.297791i | ||||
\(79\) | −2.68765 | − | 0.905576i | −0.302385 | − | 0.101885i | 0.164019 | − | 0.986457i | \(-0.447554\pi\) |
−0.466404 | + | 0.884572i | \(0.654451\pi\) | |||||||
\(80\) | 0.787457 | + | 1.97637i | 0.0880404 | + | 0.220965i | ||||
\(81\) | 0.267528 | − | 0.963550i | 0.0297254 | − | 0.107061i | ||||
\(82\) | 5.57339 | + | 1.22680i | 0.615478 | + | 0.135477i | ||||
\(83\) | 8.51914 | + | 12.5648i | 0.935097 | + | 1.37916i | 0.925310 | + | 0.379213i | \(0.123805\pi\) |
0.00978744 | + | 0.999952i | \(0.496885\pi\) | |||||||
\(84\) | 1.66425 | − | 3.13910i | 0.181584 | − | 0.342504i | ||||
\(85\) | 0.268646 | + | 0.506721i | 0.0291388 | + | 0.0549616i | ||||
\(86\) | −6.15499 | + | 9.07792i | −0.663709 | + | 0.978898i | ||||
\(87\) | −1.56375 | + | 1.48126i | −0.167652 | + | 0.158808i | ||||
\(88\) | 2.18533 | − | 1.01104i | 0.232957 | − | 0.107777i | ||||
\(89\) | −7.84611 | + | 3.63000i | −0.831686 | + | 0.384779i | −0.789063 | − | 0.614312i | \(-0.789434\pi\) |
−0.0426231 | + | 0.999091i | \(0.513571\pi\) | |||||||
\(90\) | −1.54453 | + | 1.46306i | −0.162808 | + | 0.154220i | ||||
\(91\) | −7.62535 | + | 11.2466i | −0.799354 | + | 1.17896i | ||||
\(92\) | 3.81133 | + | 7.18893i | 0.397359 | + | 0.749498i | ||||
\(93\) | 1.34463 | − | 2.53625i | 0.139432 | − | 0.262997i | ||||
\(94\) | −4.65231 | − | 6.86164i | −0.479849 | − | 0.707725i | ||||
\(95\) | −4.45287 | − | 0.980151i | −0.456855 | − | 0.100561i | ||||
\(96\) | 0.267528 | − | 0.963550i | 0.0273045 | − | 0.0983419i | ||||
\(97\) | 1.37817 | + | 3.45896i | 0.139932 | + | 0.351204i | 0.982195 | − | 0.187863i | \(-0.0601562\pi\) |
−0.842263 | + | 0.539067i | \(0.818777\pi\) | |||||||
\(98\) | 5.32928 | + | 1.79564i | 0.538338 | + | 0.181387i | ||||
\(99\) | 1.74811 | + | 1.65589i | 0.175691 | + | 0.166424i | ||||
\(100\) | −0.462801 | + | 0.101870i | −0.0462801 | + | 0.0101870i | ||||
\(101\) | 0.206072 | − | 3.80077i | 0.0205049 | − | 0.378190i | −0.970213 | − | 0.242255i | \(-0.922113\pi\) |
0.990718 | − | 0.135936i | \(-0.0434041\pi\) | |||||||
\(102\) | 0.0436137 | − | 0.266032i | 0.00431840 | − | 0.0263411i | ||||
\(103\) | −3.56263 | + | 4.19425i | −0.351036 | + | 0.413272i | −0.909134 | − | 0.416503i | \(-0.863255\pi\) |
0.558098 | + | 0.829775i | \(0.311531\pi\) | |||||||
\(104\) | −1.41554 | + | 3.55275i | −0.138806 | + | 0.348376i | ||||
\(105\) | −6.01755 | − | 4.57442i | −0.587252 | − | 0.446418i | ||||
\(106\) | 0.243124 | + | 0.146283i | 0.0236143 | + | 0.0142083i | ||||
\(107\) | −2.62690 | − | 16.0234i | −0.253952 | − | 1.54904i | −0.738486 | − | 0.674268i | \(-0.764459\pi\) |
0.484534 | − | 0.874772i | \(-0.338989\pi\) | |||||||
\(108\) | 0.994138 | − | 0.108119i | 0.0956610 | − | 0.0104038i | ||||
\(109\) | −15.6005 | + | 11.8592i | −1.49426 | + | 1.13590i | −0.538163 | + | 0.842841i | \(0.680881\pi\) |
−0.956093 | + | 0.293063i | \(0.905325\pi\) | |||||||
\(110\) | −1.37046 | − | 4.93595i | −0.130668 | − | 0.470625i | ||||
\(111\) | −0.0637298 | − | 1.17543i | −0.00604897 | − | 0.111567i | ||||
\(112\) | 3.53215 | + | 0.384145i | 0.333757 | + | 0.0362983i | ||||
\(113\) | 0.959327 | − | 0.577208i | 0.0902459 | − | 0.0542992i | −0.469716 | − | 0.882818i | \(-0.655644\pi\) |
0.559961 | + | 0.828519i | \(0.310816\pi\) | |||||||
\(114\) | 1.38744 | + | 1.63342i | 0.129946 | + | 0.152984i | ||||
\(115\) | 16.4046 | − | 5.52734i | 1.52973 | − | 0.515427i | ||||
\(116\) | −1.95486 | − | 0.904416i | −0.181505 | − | 0.0839729i | ||||
\(117\) | −3.82437 | −0.353563 | ||||||||
\(118\) | 5.44535 | − | 5.41739i | 0.501285 | − | 0.498712i | ||||
\(119\) | 0.957824 | 0.0878036 | ||||||||
\(120\) | −1.93084 | − | 0.893301i | −0.176261 | − | 0.0815468i | ||||
\(121\) | 4.92983 | − | 1.66105i | 0.448166 | − | 0.151005i | ||||
\(122\) | −6.99633 | − | 8.23672i | −0.633418 | − | 0.745717i | ||||
\(123\) | −4.88992 | + | 2.94217i | −0.440909 | + | 0.265286i | ||||
\(124\) | 2.85381 | + | 0.310371i | 0.256280 | + | 0.0278721i | ||||
\(125\) | 0.630475 | + | 11.6284i | 0.0563914 | + | 1.04008i | ||||
\(126\) | 0.950522 | + | 3.42347i | 0.0846793 | + | 0.304987i | ||||
\(127\) | −1.81299 | + | 1.37820i | −0.160877 | + | 0.122296i | −0.682516 | − | 0.730871i | \(-0.739114\pi\) |
0.521638 | + | 0.853167i | \(0.325321\pi\) | |||||||
\(128\) | 0.994138 | − | 0.108119i | 0.0878702 | − | 0.00955646i | ||||
\(129\) | −1.77439 | − | 10.8233i | −0.156227 | − | 0.952940i | ||||
\(130\) | 6.97158 | + | 4.19466i | 0.611448 | + | 0.367896i | ||||
\(131\) | 8.58644 | + | 6.52724i | 0.750201 | + | 0.570288i | 0.908888 | − | 0.417041i | \(-0.136933\pi\) |
−0.158687 | + | 0.987329i | \(0.550726\pi\) | |||||||
\(132\) | −0.891246 | + | 2.23686i | −0.0775730 | + | 0.194694i | ||||
\(133\) | −4.92955 | + | 5.80351i | −0.427446 | + | 0.503229i | ||||
\(134\) | 1.34055 | − | 8.17700i | 0.115806 | − | 0.706385i | ||||
\(135\) | 0.115179 | − | 2.12435i | 0.00991301 | − | 0.182835i | ||||
\(136\) | 0.263281 | − | 0.0579525i | 0.0225761 | − | 0.00496938i | ||||
\(137\) | −6.19468 | − | 5.86792i | −0.529248 | − | 0.501330i | 0.375765 | − | 0.926715i | \(-0.377380\pi\) |
−0.905012 | + | 0.425385i | \(0.860139\pi\) | |||||||
\(138\) | −7.71084 | − | 2.59808i | −0.656390 | − | 0.221164i | ||||
\(139\) | −1.21497 | − | 3.04934i | −0.103052 | − | 0.258642i | 0.868405 | − | 0.495855i | \(-0.165145\pi\) |
−0.971458 | + | 0.237213i | \(0.923766\pi\) | |||||||
\(140\) | 2.02221 | − | 7.28333i | 0.170908 | − | 0.615554i | ||||
\(141\) | 8.09630 | + | 1.78213i | 0.681832 | + | 0.150083i | ||||
\(142\) | −1.52758 | − | 2.25301i | −0.128191 | − | 0.189068i | ||||
\(143\) | 4.31338 | − | 8.13591i | 0.360703 | − | 0.680359i | ||||
\(144\) | 0.468408 | + | 0.883512i | 0.0390340 | + | 0.0736260i | ||||
\(145\) | −2.57161 | + | 3.79283i | −0.213560 | + | 0.314978i | ||||
\(146\) | 8.05115 | − | 7.62646i | 0.666318 | − | 0.631170i | ||||
\(147\) | −5.10389 | + | 2.36131i | −0.420962 | + | 0.194758i | ||||
\(148\) | 1.06836 | − | 0.494274i | 0.0878183 | − | 0.0406291i | ||||
\(149\) | 3.61555 | − | 3.42483i | 0.296197 | − | 0.280573i | −0.525140 | − | 0.851016i | \(-0.675987\pi\) |
0.821337 | + | 0.570443i | \(0.193228\pi\) | |||||||
\(150\) | 0.265936 | − | 0.392226i | 0.0217135 | − | 0.0320251i | ||||
\(151\) | 10.2176 | + | 19.2724i | 0.831495 | + | 1.56837i | 0.822750 | + | 0.568404i | \(0.192439\pi\) |
0.00874516 | + | 0.999962i | \(0.497216\pi\) | |||||||
\(152\) | −1.00387 | + | 1.89349i | −0.0814243 | + | 0.153583i | ||||
\(153\) | 0.151287 | + | 0.223131i | 0.0122308 | + | 0.0180391i | ||||
\(154\) | −8.35511 | − | 1.83910i | −0.673274 | − | 0.148199i | ||||
\(155\) | 1.63385 | − | 5.88459i | 0.131234 | − | 0.472662i | ||||
\(156\) | −1.41554 | − | 3.55275i | −0.113334 | − | 0.284448i | ||||
\(157\) | −22.2886 | − | 7.50990i | −1.77882 | − | 0.599355i | −0.779200 | − | 0.626776i | \(-0.784374\pi\) |
−0.999624 | + | 0.0274206i | \(0.991271\pi\) | |||||||
\(158\) | 2.05901 | + | 1.95039i | 0.163806 | + | 0.155165i | ||||
\(159\) | −0.277106 | + | 0.0609957i | −0.0219759 | + | 0.00483727i | ||||
\(160\) | 0.115179 | − | 2.12435i | 0.00910568 | − | 0.167944i | ||||
\(161\) | 4.67708 | − | 28.5289i | 0.368606 | − | 2.24839i | ||||
\(162\) | −0.647386 | + | 0.762162i | −0.0508635 | + | 0.0598811i | ||||
\(163\) | 3.22339 | − | 8.09010i | 0.252475 | − | 0.633665i | −0.747041 | − | 0.664779i | \(-0.768526\pi\) |
0.999516 | + | 0.0311132i | \(0.00990522\pi\) | |||||||
\(164\) | −4.54315 | − | 3.45361i | −0.354761 | − | 0.269682i | ||||
\(165\) | 4.38940 | + | 2.64102i | 0.341714 | + | 0.205603i | ||||
\(166\) | −2.45594 | − | 14.9806i | −0.190618 | − | 1.16272i | ||||
\(167\) | −4.33615 | + | 0.471585i | −0.335542 | + | 0.0364923i | −0.274339 | − | 0.961633i | \(-0.588459\pi\) |
−0.0612025 | + | 0.998125i | \(0.519494\pi\) | |||||||
\(168\) | −2.82850 | + | 2.15017i | −0.218224 | + | 0.165889i | ||||
\(169\) | 0.434944 | + | 1.56653i | 0.0334572 | + | 0.120502i | ||||
\(170\) | −0.0310503 | − | 0.572689i | −0.00238145 | − | 0.0439232i | ||||
\(171\) | −2.13058 | − | 0.231715i | −0.162930 | − | 0.0177197i | ||||
\(172\) | 9.39784 | − | 5.65449i | 0.716578 | − | 0.431151i | ||||
\(173\) | 12.8060 | + | 15.0764i | 0.973622 | + | 1.14624i | 0.989232 | + | 0.146358i | \(0.0467553\pi\) |
−0.0156095 | + | 0.999878i | \(0.504969\pi\) | |||||||
\(174\) | 2.04119 | − | 0.687757i | 0.154742 | − | 0.0521387i | ||||
\(175\) | 1.52807 | + | 0.706962i | 0.115511 | + | 0.0534413i | ||||
\(176\) | −2.40787 | −0.181500 | ||||||||
\(177\) | −0.227760 | + | 7.67777i | −0.0171195 | + | 0.577096i | ||||
\(178\) | 8.64513 | 0.647980 | ||||||||
\(179\) | −18.2963 | − | 8.46478i | −1.36753 | − | 0.632687i | −0.407661 | − | 0.913133i | \(-0.633656\pi\) |
−0.959870 | + | 0.280446i | \(0.909518\pi\) | |||||||
\(180\) | 2.01610 | − | 0.679304i | 0.150271 | − | 0.0506323i | ||||
\(181\) | −4.94300 | − | 5.81934i | −0.367410 | − | 0.432548i | 0.547128 | − | 0.837049i | \(-0.315721\pi\) |
−0.914538 | + | 0.404501i | \(0.867445\pi\) | |||||||
\(182\) | 11.6429 | − | 7.00529i | 0.863028 | − | 0.519267i | ||||
\(183\) | 10.7437 | + | 1.16845i | 0.794196 | + | 0.0863741i | ||||
\(184\) | −0.440516 | − | 8.12484i | −0.0324753 | − | 0.598971i | ||||
\(185\) | −0.669986 | − | 2.41307i | −0.0492584 | − | 0.177413i | ||||
\(186\) | −2.28530 | + | 1.73724i | −0.167566 | + | 0.127381i | ||||
\(187\) | −0.645318 | + | 0.0701825i | −0.0471903 | + | 0.00513226i | ||||
\(188\) | 1.34119 | + | 8.18091i | 0.0978165 | + | 0.596654i | ||||
\(189\) | −3.04440 | − | 1.83175i | −0.221447 | − | 0.133240i | ||||
\(190\) | 3.62976 | + | 2.75927i | 0.263331 | + | 0.200179i | ||||
\(191\) | −0.417938 | + | 1.04895i | −0.0302410 | + | 0.0758991i | −0.943322 | − | 0.331880i | \(-0.892317\pi\) |
0.913081 | + | 0.407779i | \(0.133697\pi\) | |||||||
\(192\) | −0.647386 | + | 0.762162i | −0.0467211 | + | 0.0550043i | ||||
\(193\) | 0.0755638 | − | 0.460919i | 0.00543920 | − | 0.0331777i | −0.983967 | − | 0.178348i | \(-0.942925\pi\) |
0.989407 | + | 0.145170i | \(0.0463730\pi\) | |||||||
\(194\) | 0.201581 | − | 3.71794i | 0.0144727 | − | 0.266933i | ||||
\(195\) | −7.94600 | + | 1.74905i | −0.569025 | + | 0.125252i | ||||
\(196\) | −4.08275 | − | 3.86739i | −0.291625 | − | 0.276242i | ||||
\(197\) | −16.5781 | − | 5.58583i | −1.18114 | − | 0.397974i | −0.340857 | − | 0.940115i | \(-0.610717\pi\) |
−0.840287 | + | 0.542142i | \(0.817614\pi\) | |||||||
\(198\) | −0.891246 | − | 2.23686i | −0.0633381 | − | 0.158967i | ||||
\(199\) | 7.13070 | − | 25.6824i | 0.505482 | − | 1.82058i | −0.0631713 | − | 0.998003i | \(-0.520121\pi\) |
0.568653 | − | 0.822578i | \(-0.307465\pi\) | |||||||
\(200\) | 0.462801 | + | 0.101870i | 0.0327250 | + | 0.00720332i | ||||
\(201\) | 4.65008 | + | 6.85836i | 0.327992 | + | 0.483752i | ||||
\(202\) | −1.78293 | + | 3.36296i | −0.125446 | + | 0.236617i | ||||
\(203\) | 3.58469 | + | 6.76143i | 0.251596 | + | 0.474560i | ||||
\(204\) | −0.151287 | + | 0.223131i | −0.0105922 | + | 0.0156223i | ||||
\(205\) | −8.81435 | + | 8.34940i | −0.615621 | + | 0.583147i | ||||
\(206\) | 4.99447 | − | 2.31069i | 0.347981 | − | 0.160993i | ||||
\(207\) | 7.38473 | − | 3.41654i | 0.513274 | − | 0.237466i | ||||
\(208\) | 2.77647 | − | 2.63002i | 0.192514 | − | 0.182359i | ||||
\(209\) | 2.89596 | − | 4.27122i | 0.200318 | − | 0.295447i | ||||
\(210\) | 3.54063 | + | 6.67833i | 0.244327 | + | 0.460849i | ||||
\(211\) | 10.6701 | − | 20.1259i | 0.734557 | − | 1.38552i | −0.181061 | − | 0.983472i | \(-0.557953\pi\) |
0.915618 | − | 0.402049i | \(-0.131702\pi\) | |||||||
\(212\) | −0.159231 | − | 0.234848i | −0.0109360 | − | 0.0161294i | ||||
\(213\) | 2.65841 | + | 0.585159i | 0.182151 | + | 0.0400945i | ||||
\(214\) | −4.34394 | + | 15.6455i | −0.296946 | + | 1.06950i | ||||
\(215\) | −8.63667 | − | 21.6764i | −0.589016 | − | 1.47832i | ||||
\(216\) | −0.947653 | − | 0.319302i | −0.0644796 | − | 0.0217257i | ||||
\(217\) | −7.40467 | − | 7.01407i | −0.502662 | − | 0.476146i | ||||
\(218\) | 19.1382 | − | 4.21263i | 1.29620 | − | 0.285315i | ||||
\(219\) | −0.600390 | + | 11.0735i | −0.0405706 | + | 0.748281i | ||||
\(220\) | −0.828757 | + | 5.05519i | −0.0558748 | + | 0.340821i | ||||
\(221\) | 0.667446 | − | 0.785778i | 0.0448973 | − | 0.0528572i | ||||
\(222\) | −0.435709 | + | 1.09355i | −0.0292429 | + | 0.0733942i | ||||
\(223\) | 20.4937 | + | 15.5789i | 1.37236 | + | 1.04324i | 0.993016 | + | 0.117984i | \(0.0376431\pi\) |
0.379343 | + | 0.925256i | \(0.376150\pi\) | |||||||
\(224\) | −3.04440 | − | 1.83175i | −0.203412 | − | 0.122389i | ||||
\(225\) | 0.0766653 | + | 0.467638i | 0.00511102 | + | 0.0311758i | ||||
\(226\) | −1.11303 | + | 0.121049i | −0.0740373 | + | 0.00805205i | ||||
\(227\) | 22.8444 | − | 17.3659i | 1.51624 | − | 1.15261i | 0.573439 | − | 0.819248i | \(-0.305609\pi\) |
0.942798 | − | 0.333365i | \(-0.108184\pi\) | |||||||
\(228\) | −0.573351 | − | 2.06503i | −0.0379711 | − | 0.136760i | ||||
\(229\) | −0.899704 | − | 16.5941i | −0.0594541 | − | 1.09657i | −0.864265 | − | 0.503036i | \(-0.832216\pi\) |
0.804811 | − | 0.593531i | \(-0.202267\pi\) | |||||||
\(230\) | −17.2092 | − | 1.87162i | −1.13474 | − | 0.123411i | ||||
\(231\) | 7.33052 | − | 4.41063i | 0.482313 | − | 0.290198i | ||||
\(232\) | 1.39443 | + | 1.64165i | 0.0915489 | + | 0.107780i | ||||
\(233\) | −15.6976 | + | 5.28914i | −1.02838 | + | 0.346503i | −0.782403 | − | 0.622772i | \(-0.786006\pi\) |
−0.245980 | + | 0.969275i | \(0.579110\pi\) | |||||||
\(234\) | 3.47090 | + | 1.60581i | 0.226900 | + | 0.104975i | ||||
\(235\) | 17.6370 | 1.15051 | ||||||||
\(236\) | −7.21677 | + | 2.63025i | −0.469772 | + | 0.171215i | ||||
\(237\) | −2.83611 | −0.184225 | ||||||||
\(238\) | −0.869298 | − | 0.402180i | −0.0563482 | − | 0.0260695i | ||||
\(239\) | −11.1434 | + | 3.75465i | −0.720808 | + | 0.242868i | −0.655713 | − | 0.755011i | \(-0.727632\pi\) |
−0.0650953 | + | 0.997879i | \(0.520735\pi\) | |||||||
\(240\) | 1.37729 | + | 1.62148i | 0.0889039 | + | 0.104666i | ||||
\(241\) | −13.9058 | + | 8.36683i | −0.895750 | + | 0.538955i | −0.887395 | − | 0.461010i | \(-0.847487\pi\) |
−0.00835511 | + | 0.999965i | \(0.502660\pi\) | |||||||
\(242\) | −5.17165 | − | 0.562450i | −0.332446 | − | 0.0361557i | ||||
\(243\) | −0.0541389 | − | 0.998533i | −0.00347301 | − | 0.0640559i | ||||
\(244\) | 2.89119 | + | 10.4131i | 0.185089 | + | 0.666632i | ||||
\(245\) | −9.52458 | + | 7.24040i | −0.608503 | + | 0.462572i | ||||
\(246\) | 5.67336 | − | 0.617015i | 0.361720 | − | 0.0393394i | ||||
\(247\) | 1.32599 | + | 8.08819i | 0.0843709 | + | 0.514639i | ||||
\(248\) | −2.45973 | − | 1.47997i | −0.156193 | − | 0.0939782i | ||||
\(249\) | 12.0851 | + | 9.18689i | 0.765865 | + | 0.582195i | ||||
\(250\) | 4.31045 | − | 10.8184i | 0.272617 | − | 0.684216i | ||||
\(251\) | −11.1824 | + | 13.1650i | −0.705828 | + | 0.830965i | −0.991870 | − | 0.127252i | \(-0.959384\pi\) |
0.286043 | + | 0.958217i | \(0.407660\pi\) | |||||||
\(252\) | 0.574808 | − | 3.50617i | 0.0362095 | − | 0.220868i | ||||
\(253\) | −1.06071 | + | 19.5636i | −0.0666861 | + | 1.22995i | ||||
\(254\) | 2.22412 | − | 0.489566i | 0.139554 | − | 0.0307181i | ||||
\(255\) | 0.416380 | + | 0.394416i | 0.0260747 | + | 0.0246993i | ||||
\(256\) | −0.947653 | − | 0.319302i | −0.0592283 | − | 0.0199563i | ||||
\(257\) | −1.48995 | − | 3.73948i | −0.0929402 | − | 0.233262i | 0.875156 | − | 0.483841i | \(-0.160759\pi\) |
−0.968096 | + | 0.250578i | \(0.919379\pi\) | |||||||
\(258\) | −2.93420 | + | 10.5680i | −0.182675 | + | 0.657936i | ||||
\(259\) | −4.08462 | − | 0.899093i | −0.253806 | − | 0.0558669i | ||||
\(260\) | −4.56594 | − | 6.73426i | −0.283168 | − | 0.417641i | ||||
\(261\) | −1.00892 | + | 1.90303i | −0.0624508 | + | 0.117795i | ||||
\(262\) | −5.05212 | − | 9.52932i | −0.312121 | − | 0.588723i | ||||
\(263\) | −4.19956 | + | 6.19389i | −0.258956 | + | 0.381931i | −0.934836 | − | 0.355080i | \(-0.884453\pi\) |
0.675880 | + | 0.737012i | \(0.263764\pi\) | |||||||
\(264\) | 1.74811 | − | 1.65589i | 0.107588 | − | 0.101913i | ||||
\(265\) | −0.547855 | + | 0.253465i | −0.0336545 | + | 0.0155702i | ||||
\(266\) | 6.91077 | − | 3.19726i | 0.423727 | − | 0.196037i | ||||
\(267\) | −6.27633 | + | 5.94525i | −0.384105 | + | 0.363844i | ||||
\(268\) | −4.65008 | + | 6.85836i | −0.284049 | + | 0.418941i | ||||
\(269\) | 7.40785 | + | 13.9727i | 0.451665 | + | 0.851930i | 0.999878 | + | 0.0155918i | \(0.00496324\pi\) |
−0.548214 | + | 0.836338i | \(0.684692\pi\) | |||||||
\(270\) | −0.996524 | + | 1.87964i | −0.0606465 | + | 0.114391i | ||||
\(271\) | 7.86161 | + | 11.5950i | 0.477559 | + | 0.704346i | 0.987807 | − | 0.155680i | \(-0.0497570\pi\) |
−0.510249 | + | 0.860027i | \(0.670447\pi\) | |||||||
\(272\) | −0.263281 | − | 0.0579525i | −0.0159637 | − | 0.00351388i | ||||
\(273\) | −3.63515 | + | 13.0926i | −0.220009 | + | 0.792401i | ||||
\(274\) | 3.15827 | + | 7.92666i | 0.190798 | + | 0.478867i | ||||
\(275\) | −1.08131 | − | 0.364337i | −0.0652057 | − | 0.0219704i | ||||
\(276\) | 5.90726 | + | 5.59565i | 0.355575 | + | 0.336819i | ||||
\(277\) | 1.12364 | − | 0.247332i | 0.0675131 | − | 0.0148607i | −0.181085 | − | 0.983467i | \(-0.557961\pi\) |
0.248599 | + | 0.968607i | \(0.420030\pi\) | |||||||
\(278\) | −0.177710 | + | 3.27766i | −0.0106583 | + | 0.196581i | ||||
\(279\) | 0.464418 | − | 2.83283i | 0.0278040 | − | 0.169597i | ||||
\(280\) | −4.89349 | + | 5.76107i | −0.292442 | + | 0.344290i | ||||
\(281\) | −4.95293 | + | 12.4309i | −0.295467 | + | 0.741566i | 0.704040 | + | 0.710160i | \(0.251378\pi\) |
−0.999507 | + | 0.0314053i | \(0.990002\pi\) | |||||||
\(282\) | −6.59971 | − | 5.01697i | −0.393007 | − | 0.298756i | ||||
\(283\) | −8.17089 | − | 4.91626i | −0.485709 | − | 0.292242i | 0.251559 | − | 0.967842i | \(-0.419057\pi\) |
−0.737268 | + | 0.675601i | \(0.763884\pi\) | |||||||
\(284\) | 0.440378 | + | 2.68619i | 0.0261316 | + | 0.159396i | ||||
\(285\) | −4.53274 | + | 0.492965i | −0.268496 | + | 0.0292007i | ||||
\(286\) | −7.33090 | + | 5.57281i | −0.433485 | + | 0.329527i | ||||
\(287\) | 5.42445 | + | 19.5371i | 0.320195 | + | 1.15324i | ||||
\(288\) | −0.0541389 | − | 0.998533i | −0.00319017 | − | 0.0588391i | ||||
\(289\) | 16.8281 | + | 1.83017i | 0.989888 | + | 0.107657i | ||||
\(290\) | 3.92650 | − | 2.36249i | 0.230572 | − | 0.138730i | ||||
\(291\) | 2.41048 | + | 2.83784i | 0.141305 | + | 0.166357i | ||||
\(292\) | −10.5093 | + | 3.54099i | −0.615010 | + | 0.207221i | ||||
\(293\) | 5.02973 | + | 2.32700i | 0.293840 | + | 0.135945i | 0.561271 | − | 0.827632i | \(-0.310313\pi\) |
−0.267431 | + | 0.963577i | \(0.586175\pi\) | |||||||
\(294\) | 5.62366 | 0.327978 | ||||||||
\(295\) | 3.03815 | + | 16.0565i | 0.176888 | + | 0.934845i | ||||
\(296\) | −1.17715 | −0.0684207 | ||||||||
\(297\) | 2.18533 | + | 1.01104i | 0.126806 | + | 0.0586665i | ||||
\(298\) | −4.71943 | + | 1.59016i | −0.273389 | + | 0.0921156i | ||||
\(299\) | −20.1454 | − | 23.7170i | −1.16504 | − | 1.37159i | ||||
\(300\) | −0.406048 | + | 0.244311i | −0.0234432 | + | 0.0141053i | ||||
\(301\) | −38.7399 | − | 4.21322i | −2.23293 | − | 0.242846i | ||||
\(302\) | −1.18095 | − | 21.7814i | −0.0679562 | − | 1.25338i | ||||
\(303\) | −1.01831 | − | 3.66761i | −0.0585002 | − | 0.210699i | ||||
\(304\) | 1.70614 | − | 1.29697i | 0.0978539 | − | 0.0743866i | ||||
\(305\) | 22.8569 | − | 2.48583i | 1.30878 | − | 0.142338i | ||||
\(306\) | −0.0436137 | − | 0.266032i | −0.00249323 | − | 0.0152080i | ||||
\(307\) | 15.0183 | + | 9.03621i | 0.857140 | + | 0.515724i | 0.875003 | − | 0.484117i | \(-0.160859\pi\) |
−0.0178639 | + | 0.999840i | \(0.505687\pi\) | |||||||
\(308\) | 6.81068 | + | 5.17734i | 0.388074 | + | 0.295006i | ||||
\(309\) | −2.03690 | + | 5.11225i | −0.115875 | + | 0.290826i | ||||
\(310\) | −3.95372 | + | 4.65468i | −0.224556 | + | 0.264368i | ||||
\(311\) | −0.245523 | + | 1.49762i | −0.0139223 | + | 0.0849223i | −0.992874 | − | 0.119171i | \(-0.961976\pi\) |
0.978951 | + | 0.204093i | \(0.0654246\pi\) | |||||||
\(312\) | −0.207047 | + | 3.81876i | −0.0117217 | + | 0.216195i | ||||
\(313\) | 11.8308 | − | 2.60417i | 0.668719 | − | 0.147196i | 0.132380 | − | 0.991199i | \(-0.457738\pi\) |
0.536339 | + | 0.844003i | \(0.319807\pi\) | |||||||
\(314\) | 17.0753 | + | 16.1745i | 0.963612 | + | 0.912782i | ||||
\(315\) | −7.16317 | − | 2.41355i | −0.403599 | − | 0.135988i | ||||
\(316\) | −1.04975 | − | 2.63468i | −0.0590533 | − | 0.148213i | ||||
\(317\) | 6.75037 | − | 24.3127i | 0.379139 | − | 1.36553i | −0.490326 | − | 0.871539i | \(-0.663122\pi\) |
0.869465 | − | 0.493995i | \(-0.164464\pi\) | |||||||
\(318\) | 0.277106 | + | 0.0609957i | 0.0155393 | + | 0.00342047i | ||||
\(319\) | −2.91055 | − | 4.29274i | −0.162960 | − | 0.240347i | ||||
\(320\) | −0.996524 | + | 1.87964i | −0.0557074 | + | 0.105075i | ||||
\(321\) | −7.60569 | − | 14.3459i | −0.424508 | − | 0.800707i | ||||
\(322\) | −16.2238 | + | 23.9283i | −0.904116 | + | 1.33347i | ||||
\(323\) | 0.419448 | − | 0.397322i | 0.0233387 | − | 0.0221076i | ||||
\(324\) | 0.907575 | − | 0.419889i | 0.0504209 | − | 0.0233272i | ||||
\(325\) | 1.64479 | − | 0.760962i | 0.0912367 | − | 0.0422106i | ||||
\(326\) | −6.32241 | + | 5.98891i | −0.350166 | + | 0.331695i | ||||
\(327\) | −10.9972 | + | 16.2197i | −0.608146 | + | 0.896949i | ||||
\(328\) | 2.67312 | + | 5.04204i | 0.147598 | + | 0.278400i | ||||
\(329\) | 13.7968 | − | 26.0235i | 0.760642 | − | 1.43472i | ||||
\(330\) | −2.87478 | − | 4.23998i | −0.158251 | − | 0.233403i | ||||
\(331\) | −22.7679 | − | 5.01160i | −1.25144 | − | 0.275463i | −0.460667 | − | 0.887573i | \(-0.652390\pi\) |
−0.790772 | + | 0.612111i | \(0.790321\pi\) | |||||||
\(332\) | −4.06123 | + | 14.6272i | −0.222889 | + | 0.802774i | ||||
\(333\) | −0.435709 | − | 1.09355i | −0.0238767 | − | 0.0599261i | ||||
\(334\) | 4.13340 | + | 1.39270i | 0.226170 | + | 0.0762054i | ||||
\(335\) | 12.7982 | + | 12.1231i | 0.699242 | + | 0.662358i | ||||
\(336\) | 3.46991 | − | 0.763785i | 0.189299 | − | 0.0416679i | ||||
\(337\) | 0.311779 | − | 5.75042i | 0.0169837 | − | 0.313245i | −0.977682 | − | 0.210091i | \(-0.932624\pi\) |
0.994665 | − | 0.103154i | \(-0.0328934\pi\) | |||||||
\(338\) | 0.263023 | − | 1.60437i | 0.0143066 | − | 0.0872662i | ||||
\(339\) | 0.724806 | − | 0.853308i | 0.0393661 | − | 0.0463453i | ||||
\(340\) | −0.212285 | + | 0.532796i | −0.0115128 | + | 0.0288949i | ||||
\(341\) | 5.50271 | + | 4.18305i | 0.297989 | + | 0.226525i | ||||
\(342\) | 1.83637 | + | 1.10491i | 0.0992994 | + | 0.0597465i | ||||
\(343\) | −0.791133 | − | 4.82570i | −0.0427171 | − | 0.260563i | ||||
\(344\) | −10.9035 | + | 1.18583i | −0.587877 | + | 0.0639355i | ||||
\(345\) | 13.7809 | − | 10.4760i | 0.741941 | − | 0.564009i | ||||
\(346\) | −5.29200 | − | 19.0601i | −0.284500 | − | 1.02468i | ||||
\(347\) | 0.154297 | + | 2.84585i | 0.00828312 | + | 0.152773i | 0.999749 | + | 0.0224063i | \(0.00713274\pi\) |
−0.991466 | + | 0.130367i | \(0.958385\pi\) | |||||||
\(348\) | −2.14131 | − | 0.232882i | −0.114786 | − | 0.0124838i | ||||
\(349\) | 5.54508 | − | 3.33636i | 0.296821 | − | 0.178591i | −0.359351 | − | 0.933202i | \(-0.617002\pi\) |
0.656172 | + | 0.754611i | \(0.272174\pi\) | |||||||
\(350\) | −1.09000 | − | 1.28324i | −0.0582627 | − | 0.0685922i | ||||
\(351\) | −3.62417 | + | 1.22113i | −0.193444 | + | 0.0651789i | ||||
\(352\) | 2.18533 | + | 1.01104i | 0.116478 | + | 0.0538886i | ||||
\(353\) | 7.57191 | 0.403012 | 0.201506 | − | 0.979487i | \(-0.435416\pi\) | ||||
0.201506 | + | 0.979487i | \(0.435416\pi\) | |||||||
\(354\) | 3.43052 | − | 6.87252i | 0.182330 | − | 0.365270i | ||||
\(355\) | 5.79107 | 0.307358 | ||||||||
\(356\) | −7.84611 | − | 3.63000i | −0.415843 | − | 0.192389i | ||||
\(357\) | 0.907685 | − | 0.305835i | 0.0480398 | − | 0.0161865i | ||||
\(358\) | 13.0510 | + | 15.3648i | 0.689768 | + | 0.812057i | ||||
\(359\) | 15.4648 | − | 9.30489i | 0.816203 | − | 0.491093i | −0.0452225 | − | 0.998977i | \(-0.514400\pi\) |
0.861426 | + | 0.507884i | \(0.169572\pi\) | |||||||
\(360\) | −2.11500 | − | 0.230020i | −0.111470 | − | 0.0121231i | ||||
\(361\) | −0.779976 | − | 14.3858i | −0.0410514 | − | 0.757148i | ||||
\(362\) | 2.04266 | + | 7.35700i | 0.107360 | + | 0.386676i | ||||
\(363\) | 4.14139 | − | 3.14820i | 0.217367 | − | 0.165238i | ||||
\(364\) | −13.5082 | + | 1.46911i | −0.708024 | + | 0.0770023i | ||||
\(365\) | 3.81696 | + | 23.2824i | 0.199789 | + | 1.21866i | ||||
\(366\) | −9.26009 | − | 5.57161i | −0.484033 | − | 0.291233i | ||||
\(367\) | 10.9061 | + | 8.29058i | 0.569292 | + | 0.432765i | 0.849814 | − | 0.527083i | \(-0.176714\pi\) |
−0.280521 | + | 0.959848i | \(0.590507\pi\) | |||||||
\(368\) | −3.01173 | + | 7.55887i | −0.156997 | + | 0.394033i | ||||
\(369\) | −3.69451 | + | 4.34951i | −0.192329 | + | 0.226427i | ||||
\(370\) | −0.405160 | + | 2.47137i | −0.0210633 | + | 0.128480i | ||||
\(371\) | −0.0545786 | + | 1.00664i | −0.00283358 | + | 0.0522623i | ||||
\(372\) | 2.80353 | − | 0.617103i | 0.145356 | − | 0.0319953i | ||||
\(373\) | 0.200667 | + | 0.190082i | 0.0103901 | + | 0.00984207i | 0.692877 | − | 0.721056i | \(-0.256343\pi\) |
−0.682487 | + | 0.730898i | \(0.739102\pi\) | |||||||
\(374\) | 0.615143 | + | 0.207266i | 0.0318083 | + | 0.0107175i | ||||
\(375\) | 4.31045 | + | 10.8184i | 0.222590 | + | 0.558660i | ||||
\(376\) | 2.21784 | − | 7.98795i | 0.114377 | − | 0.411947i | ||||
\(377\) | 8.04487 | + | 1.77081i | 0.414332 | + | 0.0912014i | ||||
\(378\) | 1.99389 | + | 2.94076i | 0.102554 | + | 0.151256i | ||||
\(379\) | −12.1310 | + | 22.8815i | −0.623127 | + | 1.17534i | 0.348160 | + | 0.937435i | \(0.386807\pi\) |
−0.971288 | + | 0.237908i | \(0.923538\pi\) | |||||||
\(380\) | −2.13569 | − | 4.02834i | −0.109559 | − | 0.206650i | ||||
\(381\) | −1.27803 | + | 1.88495i | −0.0654753 | + | 0.0965688i | ||||
\(382\) | 0.819752 | − | 0.776510i | 0.0419421 | − | 0.0397297i | ||||
\(383\) | 12.9293 | − | 5.98173i | 0.660657 | − | 0.305652i | −0.0607613 | − | 0.998152i | \(-0.519353\pi\) |
0.721418 | + | 0.692500i | \(0.243491\pi\) | |||||||
\(384\) | 0.907575 | − | 0.419889i | 0.0463145 | − | 0.0214274i | ||||
\(385\) | 13.2137 | − | 12.5167i | 0.673431 | − | 0.637908i | ||||
\(386\) | −0.262115 | + | 0.386590i | −0.0133413 | + | 0.0196769i | ||||
\(387\) | −5.13741 | − | 9.69018i | −0.261149 | − | 0.492580i | ||||
\(388\) | −1.74407 | + | 3.28967i | −0.0885420 | + | 0.167008i | ||||
\(389\) | −3.59174 | − | 5.29741i | −0.182108 | − | 0.268590i | 0.725667 | − | 0.688046i | \(-0.241531\pi\) |
−0.907776 | + | 0.419456i | \(0.862221\pi\) | |||||||
\(390\) | 7.94600 | + | 1.74905i | 0.402361 | + | 0.0885664i | ||||
\(391\) | −0.586834 | + | 2.11358i | −0.0296774 | + | 0.106889i | ||||
\(392\) | 2.08153 | + | 5.22425i | 0.105133 | + | 0.263864i | ||||
\(393\) | 10.2211 | + | 3.44390i | 0.515588 | + | 0.173722i | ||||
\(394\) | 12.7005 | + | 12.0305i | 0.639841 | + | 0.606090i | ||||
\(395\) | −5.89268 | + | 1.29708i | −0.296493 | + | 0.0652630i | ||||
\(396\) | −0.130360 | + | 2.40434i | −0.00655082 | + | 0.120823i | ||||
\(397\) | 5.71932 | − | 34.8863i | 0.287044 | − | 1.75089i | −0.311912 | − | 0.950111i | \(-0.600969\pi\) |
0.598956 | − | 0.800782i | \(-0.295582\pi\) | |||||||
\(398\) | −17.2554 | + | 20.3147i | −0.864936 | + | 1.01828i | ||||
\(399\) | −2.81843 | + | 7.07373i | −0.141098 | + | 0.354130i | ||||
\(400\) | −0.377253 | − | 0.286780i | −0.0188626 | − | 0.0143390i | ||||
\(401\) | −20.1812 | − | 12.1426i | −1.00780 | − | 0.606374i | −0.0869194 | − | 0.996215i | \(-0.527702\pi\) |
−0.920882 | + | 0.389841i | \(0.872530\pi\) | |||||||
\(402\) | −1.34055 | − | 8.17700i | −0.0668606 | − | 0.407832i | ||||
\(403\) | −10.9140 | + | 1.18697i | −0.543667 | + | 0.0591273i | ||||
\(404\) | 3.03021 | − | 2.30350i | 0.150759 | − | 0.114604i | ||||
\(405\) | −0.569158 | − | 2.04992i | −0.0282817 | − | 0.101861i | ||||
\(406\) | −0.414320 | − | 7.64168i | −0.0205624 | − | 0.379250i | ||||
\(407\) | 2.81782 | + | 0.306457i | 0.139674 | + | 0.0151905i | ||||
\(408\) | 0.230994 | − | 0.138985i | 0.0114359 | − | 0.00688077i | ||||
\(409\) | −8.18139 | − | 9.63188i | −0.404544 | − | 0.476266i | 0.521734 | − | 0.853109i | \(-0.325286\pi\) |
−0.926277 | + | 0.376843i | \(0.877010\pi\) | |||||||
\(410\) | 11.5055 | − | 3.87666i | 0.568217 | − | 0.191454i | ||||
\(411\) | −7.74405 | − | 3.58278i | −0.381986 | − | 0.176725i | ||||
\(412\) | −5.50309 | −0.271118 | ||||||||
\(413\) | 26.0681 | + | 8.07762i | 1.28273 | + | 0.397474i | ||||
\(414\) | −8.13677 | −0.399900 | ||||||||
\(415\) | 29.3112 | + | 13.5608i | 1.43883 | + | 0.665674i | ||||
\(416\) | −3.62417 | + | 1.22113i | −0.177690 | + | 0.0598706i | ||||
\(417\) | −2.12503 | − | 2.50178i | −0.104063 | − | 0.122513i | ||||
\(418\) | −4.42174 | + | 2.66047i | −0.216274 | + | 0.130128i | ||||
\(419\) | −27.4539 | − | 2.98579i | −1.34121 | − | 0.145865i | −0.590790 | − | 0.806826i | \(-0.701184\pi\) |
−0.750421 | + | 0.660960i | \(0.770149\pi\) | |||||||
\(420\) | −0.409228 | − | 7.54776i | −0.0199683 | − | 0.368293i | ||||
\(421\) | −5.36325 | − | 19.3167i | −0.261389 | − | 0.941437i | −0.971440 | − | 0.237287i | \(-0.923742\pi\) |
0.710051 | − | 0.704150i | \(-0.248672\pi\) | |||||||
\(422\) | −18.1345 | + | 13.7855i | −0.882774 | + | 0.671067i | ||||
\(423\) | 8.24153 | − | 0.896320i | 0.400717 | − | 0.0435806i | ||||
\(424\) | 0.0459040 | + | 0.280002i | 0.00222929 | + | 0.0135981i | ||||
\(425\) | −0.109464 | − | 0.0658621i | −0.00530977 | − | 0.00319478i | ||||
\(426\) | −2.16700 | − | 1.64731i | −0.104992 | − | 0.0798125i | ||||
\(427\) | 14.2123 | − | 35.6701i | 0.687780 | − | 1.72620i | ||||
\(428\) | 10.5118 | − | 12.3755i | 0.508107 | − | 0.598190i | ||||
\(429\) | 1.48979 | − | 9.08729i | 0.0719275 | − | 0.438738i | ||||
\(430\) | −1.26326 | + | 23.2994i | −0.0609197 | + | 1.12360i | ||||
\(431\) | −33.6048 | + | 7.39698i | −1.61869 | + | 0.356300i | −0.929655 | − | 0.368430i | \(-0.879895\pi\) |
−0.689032 | + | 0.724730i | \(0.741964\pi\) | |||||||
\(432\) | 0.725995 | + | 0.687699i | 0.0349295 | + | 0.0330870i | ||||
\(433\) | 8.38771 | + | 2.82615i | 0.403087 | + | 0.135816i | 0.513540 | − | 0.858065i | \(-0.328334\pi\) |
−0.110453 | + | 0.993881i | \(0.535230\pi\) | |||||||
\(434\) | 3.77516 | + | 9.47494i | 0.181214 | + | 0.454812i | ||||
\(435\) | −1.22593 | + | 4.41541i | −0.0587790 | + | 0.211703i | ||||
\(436\) | −19.1382 | − | 4.21263i | −0.916552 | − | 0.201748i | ||||
\(437\) | −9.78613 | − | 14.4335i | −0.468134 | − | 0.690446i | ||||
\(438\) | 5.19456 | − | 9.79798i | 0.248206 | − | 0.468166i | ||||
\(439\) | −17.7994 | − | 33.5732i | −0.849519 | − | 1.60236i | −0.797187 | − | 0.603733i | \(-0.793680\pi\) |
−0.0523317 | − | 0.998630i | \(-0.516665\pi\) | |||||||
\(440\) | 2.87478 | − | 4.23998i | 0.137050 | − | 0.202133i | ||||
\(441\) | −4.08275 | + | 3.86739i | −0.194417 | + | 0.184161i | ||||
\(442\) | −0.935698 | + | 0.432900i | −0.0445066 | + | 0.0205909i | ||||
\(443\) | 2.60507 | − | 1.20523i | 0.123770 | − | 0.0572623i | −0.357027 | − | 0.934094i | \(-0.616209\pi\) |
0.480797 | + | 0.876832i | \(0.340347\pi\) | |||||||
\(444\) | 0.854608 | − | 0.809528i | 0.0405579 | − | 0.0384185i | ||||
\(445\) | −10.3215 | + | 15.2231i | −0.489286 | + | 0.721642i | ||||
\(446\) | −12.0582 | − | 22.7441i | −0.570970 | − | 1.07696i | ||||
\(447\) | 2.33273 | − | 4.40000i | 0.110334 | − | 0.208113i | ||||
\(448\) | 1.99389 | + | 2.94076i | 0.0942022 | + | 0.138938i | ||||
\(449\) | −9.15314 | − | 2.01476i | −0.431963 | − | 0.0950823i | −0.00633396 | − | 0.999980i | \(-0.502016\pi\) |
−0.425629 | + | 0.904898i | \(0.639947\pi\) | |||||||
\(450\) | 0.126776 | − | 0.456607i | 0.00597630 | − | 0.0215247i | ||||
\(451\) | −5.08617 | − | 12.7653i | −0.239499 | − | 0.601096i | ||||
\(452\) | 1.06098 | + | 0.357486i | 0.0499044 | + | 0.0168147i | ||||
\(453\) | 15.8364 | + | 15.0011i | 0.744060 | + | 0.704811i | ||||
\(454\) | −28.0248 | + | 6.16872i | −1.31527 | + | 0.289512i | ||||
\(455\) | −1.56504 | + | 28.8654i | −0.0733701 | + | 1.35323i | ||||
\(456\) | −0.346722 | + | 2.11491i | −0.0162367 | + | 0.0990397i | ||||
\(457\) | −24.6391 | + | 29.0074i | −1.15257 | + | 1.35691i | −0.229021 | + | 0.973421i | \(0.573553\pi\) |
−0.923547 | + | 0.383486i | \(0.874723\pi\) | |||||||
\(458\) | −6.15112 | + | 15.4381i | −0.287423 | + | 0.721377i | ||||
\(459\) | 0.214613 | + | 0.163145i | 0.0100173 | + | 0.00761495i | ||||
\(460\) | 14.8328 | + | 8.92461i | 0.691583 | + | 0.416112i | ||||
\(461\) | 5.81085 | + | 35.4446i | 0.270638 | + | 1.65082i | 0.676175 | + | 0.736741i | \(0.263636\pi\) |
−0.405537 | + | 0.914079i | \(0.632915\pi\) | |||||||
\(462\) | −8.50498 | + | 0.924972i | −0.395687 | + | 0.0430336i | ||||
\(463\) | 5.96012 | − | 4.53077i | 0.276990 | − | 0.210563i | −0.457451 | − | 0.889235i | \(-0.651237\pi\) |
0.734441 | + | 0.678672i | \(0.237444\pi\) | |||||||
\(464\) | −0.576240 | − | 2.07543i | −0.0267513 | − | 0.0963494i | ||||
\(465\) | −0.330637 | − | 6.09824i | −0.0153329 | − | 0.282799i | ||||
\(466\) | 16.4676 | + | 1.79096i | 0.762847 | + | 0.0829646i | ||||
\(467\) | −29.2092 | + | 17.5746i | −1.35164 | + | 0.813256i | −0.992759 | − | 0.120126i | \(-0.961670\pi\) |
−0.358884 | + | 0.933382i | \(0.616843\pi\) | |||||||
\(468\) | −2.47584 | − | 2.91479i | −0.114446 | − | 0.134736i | ||||
\(469\) | 27.8994 | − | 9.40041i | 1.28828 | − | 0.434071i | ||||
\(470\) | −16.0069 | − | 7.40557i | −0.738342 | − | 0.341594i | ||||
\(471\) | −23.5198 | −1.08373 | ||||||||
\(472\) | 7.65418 | + | 0.643092i | 0.352312 | + | 0.0296007i | ||||
\(473\) | 26.4091 | 1.21429 | ||||||||
\(474\) | 2.57399 | + | 1.19085i | 0.118227 | + | 0.0546977i | ||||
\(475\) | 0.962430 | − | 0.324280i | 0.0441593 | − | 0.0148790i | ||||
\(476\) | 0.620082 | + | 0.730017i | 0.0284214 | + | 0.0334603i | ||||
\(477\) | −0.243124 | + | 0.146283i | −0.0111319 | + | 0.00669784i | ||||
\(478\) | 11.6900 | + | 1.27137i | 0.534690 | + | 0.0581510i | ||||
\(479\) | 1.19123 | + | 21.9709i | 0.0544287 | + | 1.00388i | 0.890421 | + | 0.455137i | \(0.150410\pi\) |
−0.835993 | + | 0.548741i | \(0.815107\pi\) | |||||||
\(480\) | −0.569158 | − | 2.04992i | −0.0259784 | − | 0.0935657i | ||||
\(481\) | −3.58391 | + | 2.72441i | −0.163412 | + | 0.124223i | ||||
\(482\) | 16.1337 | − | 1.75464i | 0.734869 | − | 0.0799218i | ||||
\(483\) | −4.67708 | − | 28.5289i | −0.212815 | − | 1.29811i | ||||
\(484\) | 4.45749 | + | 2.68198i | 0.202613 | + | 0.121908i | ||||
\(485\) | 6.30619 | + | 4.79384i | 0.286349 | + | 0.217677i | ||||
\(486\) | −0.370138 | + | 0.928977i | −0.0167898 | + | 0.0421392i | ||||
\(487\) | −8.69699 | + | 10.2389i | −0.394098 | + | 0.463968i | −0.923048 | − | 0.384685i | \(-0.874310\pi\) |
0.528950 | + | 0.848653i | \(0.322586\pi\) | |||||||
\(488\) | 1.74838 | − | 10.6647i | 0.0791457 | − | 0.482767i | ||||
\(489\) | 0.471475 | − | 8.69584i | 0.0213208 | − | 0.393239i | ||||
\(490\) | 11.6844 | − | 2.57194i | 0.527849 | − | 0.116188i | ||||
\(491\) | −10.8171 | − | 10.2465i | −0.488169 | − | 0.462418i | 0.403583 | − | 0.914943i | \(-0.367765\pi\) |
−0.891752 | + | 0.452525i | \(0.850523\pi\) | |||||||
\(492\) | −5.40808 | − | 1.82219i | −0.243815 | − | 0.0821508i | ||||
\(493\) | −0.214927 | − | 0.539426i | −0.00967982 | − | 0.0242945i | ||||
\(494\) | 2.19271 | − | 7.89742i | 0.0986545 | − | 0.355322i | ||||
\(495\) | 5.00291 | + | 1.10122i | 0.224864 | + | 0.0494963i | ||||
\(496\) | 1.61097 | + | 2.37600i | 0.0723346 | + | 0.106686i | ||||
\(497\) | 4.53015 | − | 8.54477i | 0.203205 | − | 0.383285i | ||||
\(498\) | −7.11071 | − | 13.4122i | −0.318638 | − | 0.601016i | ||||
\(499\) | 16.8688 | − | 24.8796i | 0.755150 | − | 1.11376i | −0.234758 | − | 0.972054i | \(-0.575430\pi\) |
0.989908 | − | 0.141710i | \(-0.0452599\pi\) | |||||||
\(500\) | −8.45458 | + | 8.00861i | −0.378100 | + | 0.358156i | ||||
\(501\) | −3.95859 | + | 1.83144i | −0.176857 | + | 0.0818227i | ||||
\(502\) | 15.6767 | − | 7.25282i | 0.699686 | − | 0.323709i | ||||
\(503\) | 21.6486 | − | 20.5066i | 0.965263 | − | 0.914346i | −0.0311031 | − | 0.999516i | \(-0.509902\pi\) |
0.996366 | + | 0.0851702i | \(0.0271434\pi\) | |||||||
\(504\) | −1.99389 | + | 2.94076i | −0.0888147 | + | 0.130992i | ||||
\(505\) | −3.79312 | − | 7.15458i | −0.168792 | − | 0.318375i | ||||
\(506\) | 9.17721 | − | 17.3100i | 0.407977 | − | 0.769526i | ||||
\(507\) | 0.912371 | + | 1.34565i | 0.0405198 | + | 0.0597623i | ||||
\(508\) | −2.22412 | − | 0.489566i | −0.0986794 | − | 0.0217210i | ||||
\(509\) | −0.777413 | + | 2.79999i | −0.0344582 | + | 0.124107i | −0.978779 | − | 0.204919i | \(-0.934307\pi\) |
0.944321 | + | 0.329027i | \(0.106721\pi\) | |||||||
\(510\) | −0.212285 | − | 0.532796i | −0.00940015 | − | 0.0235926i | ||||
\(511\) | 37.3393 | + | 12.5811i | 1.65179 | + | 0.556554i | ||||
\(512\) | 0.725995 | + | 0.687699i | 0.0320848 | + | 0.0303923i | ||||
\(513\) | −2.09304 | + | 0.460712i | −0.0924099 | + | 0.0203409i | ||||
\(514\) | −0.217929 | + | 4.01947i | −0.00961246 | + | 0.177291i | ||||
\(515\) | −1.89409 | + | 11.5534i | −0.0834635 | + | 0.509105i | ||||
\(516\) | 7.10040 | − | 8.35924i | 0.312578 | − | 0.367995i | ||||
\(517\) | −7.38854 | + | 18.5438i | −0.324948 | + | 0.815557i | ||||
\(518\) | 3.32958 | + | 2.53108i | 0.146293 | + | 0.111209i | ||||
\(519\) | 16.9496 | + | 10.1982i | 0.744003 | + | 0.447652i | ||||
\(520\) | 1.31629 | + | 8.02904i | 0.0577233 | + | 0.352097i | ||||
\(521\) | 27.3421 | − | 2.97363i | 1.19788 | − | 0.130277i | 0.512645 | − | 0.858601i | \(-0.328666\pi\) |
0.685234 | + | 0.728323i | \(0.259700\pi\) | |||||||
\(522\) | 1.71474 | − | 1.30351i | 0.0750520 | − | 0.0570531i | ||||
\(523\) | −10.5944 | − | 38.1577i | −0.463262 | − | 1.66852i | −0.713751 | − | 0.700400i | \(-0.753005\pi\) |
0.250488 | − | 0.968120i | \(-0.419409\pi\) | |||||||
\(524\) | 0.583927 | + | 10.7699i | 0.0255090 | + | 0.470486i | ||||
\(525\) | 1.67382 | + | 0.182039i | 0.0730514 | + | 0.00794481i | ||||
\(526\) | 6.41216 | − | 3.85807i | 0.279584 | − | 0.168220i | ||||
\(527\) | 0.500998 | + | 0.589820i | 0.0218238 | + | 0.0256930i | ||||
\(528\) | −2.28183 | + | 0.768838i | −0.0993039 | + | 0.0334594i | ||||
\(529\) | 39.2136 | + | 18.1422i | 1.70494 | + | 0.788789i | ||||
\(530\) | 0.603647 | 0.0262208 | ||||||||
\(531\) | 2.23569 | + | 7.34859i | 0.0970205 | + | 0.318901i | ||||
\(532\) | −7.61454 | −0.330132 | ||||||||
\(533\) | 19.8078 | + | 9.16405i | 0.857970 | + | 0.396939i | ||||
\(534\) | 8.19259 | − | 2.76040i | 0.354528 | − | 0.119454i | ||||
\(535\) | −22.3635 | − | 26.3284i | −0.966860 | − | 1.13828i | ||||
\(536\) | 7.10005 | − | 4.27196i | 0.306676 | − | 0.184521i | ||||
\(537\) | −20.0414 | − | 2.17963i | −0.864849 | − | 0.0940580i | ||||
\(538\) | −0.856204 | − | 15.7918i | −0.0369136 | − | 0.680831i | ||||
\(539\) | −3.62262 | − | 13.0475i | −0.156037 | − | 0.561995i | ||||
\(540\) | 1.69366 | − | 1.28749i | 0.0728836 | − | 0.0554047i | ||||
\(541\) | 18.9497 | − | 2.06090i | 0.814710 | − | 0.0886051i | 0.308730 | − | 0.951150i | \(-0.400096\pi\) |
0.505981 | + | 0.862545i | \(0.331131\pi\) | |||||||
\(542\) | −2.26639 | − | 13.8243i | −0.0973496 | − | 0.593806i | ||||
\(543\) | −6.54237 | − | 3.93641i | −0.280760 | − | 0.168928i | ||||
\(544\) | 0.214613 | + | 0.163145i | 0.00920148 | + | 0.00699478i | ||||
\(545\) | −15.4313 | + | 38.7295i | −0.661002 | + | 1.65899i | ||||
\(546\) | 8.79662 | − | 10.3562i | 0.376460 | − | 0.443204i | ||||
\(547\) | 5.16652 | − | 31.5144i | 0.220904 | − | 1.34746i | −0.610600 | − | 0.791939i | \(-0.709072\pi\) |
0.831504 | − | 0.555518i | \(-0.187480\pi\) | |||||||
\(548\) | 0.461950 | − | 8.52016i | 0.0197335 | − | 0.363963i | ||||
\(549\) | 10.5544 | − | 2.32319i | 0.450450 | − | 0.0991515i | ||||
\(550\) | 0.828393 | + | 0.784696i | 0.0353228 | + | 0.0334595i | ||||
\(551\) | 4.37456 | + | 1.47396i | 0.186362 | + | 0.0627928i | ||||
\(552\) | −3.01173 | − | 7.55887i | −0.128188 | − | 0.321727i | ||||
\(553\) | −2.69579 | + | 9.70936i | −0.114637 | + | 0.412884i | ||||
\(554\) | −1.12364 | − | 0.247332i | −0.0477389 | − | 0.0105081i | ||||
\(555\) | −1.40541 | − | 2.07283i | −0.0596564 | − | 0.0879867i | ||||
\(556\) | 1.53754 | − | 2.90010i | 0.0652061 | − | 0.122992i | ||||
\(557\) | −2.44100 | − | 4.60421i | −0.103428 | − | 0.195087i | 0.826397 | − | 0.563088i | \(-0.190387\pi\) |
−0.929825 | + | 0.368002i | \(0.880042\pi\) | |||||||
\(558\) | −1.61097 | + | 2.37600i | −0.0681977 | + | 0.100584i | ||||
\(559\) | −30.4518 | + | 28.8455i | −1.28797 | + | 1.22003i | ||||
\(560\) | 6.86022 | − | 3.17388i | 0.289897 | − | 0.134121i | ||||
\(561\) | −0.589128 | + | 0.272560i | −0.0248730 | + | 0.0115075i | ||||
\(562\) | 9.71476 | − | 9.20231i | 0.409792 | − | 0.388176i | ||||
\(563\) | −14.5987 | + | 21.5315i | −0.615263 | + | 0.907445i | −0.999878 | − | 0.0156323i | \(-0.995024\pi\) |
0.384615 | + | 0.923077i | \(0.374334\pi\) | |||||||
\(564\) | 3.88316 | + | 7.32442i | 0.163511 | + | 0.308414i | ||||
\(565\) | 1.11570 | − | 2.10443i | 0.0469377 | − | 0.0885339i | ||||
\(566\) | 5.35142 | + | 7.89275i | 0.224937 | + | 0.331757i | ||||
\(567\) | −3.46991 | − | 0.763785i | −0.145723 | − | 0.0320760i | ||||
\(568\) | 0.728224 | − | 2.62283i | 0.0305556 | − | 0.110051i | ||||
\(569\) | −13.2350 | − | 33.2174i | −0.554841 | − | 1.39255i | −0.892401 | − | 0.451243i | \(-0.850981\pi\) |
0.337560 | − | 0.941304i | \(-0.390398\pi\) | |||||||
\(570\) | 4.32079 | + | 1.45585i | 0.180978 | + | 0.0609786i | ||||
\(571\) | −31.0202 | − | 29.3839i | −1.29816 | − | 1.22968i | −0.957142 | − | 0.289619i | \(-0.906471\pi\) |
−0.341013 | − | 0.940059i | \(-0.610770\pi\) | |||||||
\(572\) | 8.99331 | − | 1.97958i | 0.376029 | − | 0.0827702i | ||||
\(573\) | −0.0611305 | + | 1.12749i | −0.00255376 | + | 0.0471014i | ||||
\(574\) | 3.28032 | − | 20.0091i | 0.136918 | − | 0.835162i | ||||
\(575\) | −2.49623 | + | 2.93879i | −0.104100 | + | 0.122556i | ||||
\(576\) | −0.370138 | + | 0.928977i | −0.0154224 | + | 0.0387074i | ||||
\(577\) | 23.2645 | + | 17.6852i | 0.968515 | + | 0.736246i | 0.964592 | − | 0.263747i | \(-0.0849583\pi\) |
0.00392268 | + | 0.999992i | \(0.498751\pi\) | |||||||
\(578\) | −14.5043 | − | 8.72695i | −0.603299 | − | 0.362993i | ||||
\(579\) | −0.0755638 | − | 0.460919i | −0.00314033 | − | 0.0191551i | ||||
\(580\) | −4.55558 | + | 0.495449i | −0.189160 | + | 0.0205724i | ||||
\(581\) | 42.9383 | − | 32.6408i | 1.78138 | − | 1.35417i | ||||
\(582\) | −0.996116 | − | 3.58769i | −0.0412903 | − | 0.148714i | ||||
\(583\) | −0.0369882 | − | 0.682208i | −0.00153190 | − | 0.0282542i | ||||
\(584\) | 11.0248 | + | 1.19902i | 0.456209 | + | 0.0496158i | ||||
\(585\) | −6.97158 | + | 4.19466i | −0.288239 | + | 0.173428i | ||||
\(586\) | −3.58778 | − | 4.22386i | −0.148210 | − | 0.174486i | ||||
\(587\) | −39.6542 | + | 13.3610i | −1.63670 | + | 0.551469i | −0.979360 | − | 0.202123i | \(-0.935216\pi\) |
−0.657342 | + | 0.753592i | \(0.728319\pi\) | |||||||
\(588\) | −5.10389 | − | 2.36131i | −0.210481 | − | 0.0973789i | ||||
\(589\) | −6.15220 | −0.253497 | ||||||||
\(590\) | 3.98460 | − | 15.8482i | 0.164043 | − | 0.652458i | ||||
\(591\) | −17.4939 | −0.719603 | ||||||||
\(592\) | 1.06836 | + | 0.494274i | 0.0439091 | + | 0.0203145i | ||||
\(593\) | 3.97684 | − | 1.33995i | 0.163309 | − | 0.0550252i | −0.236459 | − | 0.971641i | \(-0.575987\pi\) |
0.399769 | + | 0.916616i | \(0.369090\pi\) | |||||||
\(594\) | −1.55882 | − | 1.83519i | −0.0639594 | − | 0.0752988i | ||||
\(595\) | 1.74605 | − | 1.05056i | 0.0715812 | − | 0.0430690i | ||||
\(596\) | 4.95093 | + | 0.538446i | 0.202798 | + | 0.0220556i | ||||
\(597\) | −1.44302 | − | 26.6149i | −0.0590588 | − | 1.08928i | ||||
\(598\) | 8.32495 | + | 29.9837i | 0.340432 | + | 1.22613i | ||||
\(599\) | −15.5486 | + | 11.8198i | −0.635301 | + | 0.482943i | −0.872562 | − | 0.488503i | \(-0.837543\pi\) |
0.237262 | + | 0.971446i | \(0.423750\pi\) | |||||||
\(600\) | 0.471102 | − | 0.0512355i | 0.0192327 | − | 0.00209168i | ||||
\(601\) | 6.34599 | + | 38.7088i | 0.258858 | + | 1.57897i | 0.721496 | + | 0.692419i | \(0.243455\pi\) |
−0.462637 | + | 0.886548i | \(0.653097\pi\) | |||||||
\(602\) | 33.3903 | + | 20.0903i | 1.36089 | + | 0.818819i | ||||
\(603\) | 6.59655 | + | 5.01457i | 0.268632 | + | 0.204209i | ||||
\(604\) | −8.07397 | + | 20.2641i | −0.328525 | + | 0.824536i | ||||
\(605\) | 7.16487 | − | 8.43514i | 0.291294 | − | 0.342937i | ||||
\(606\) | −0.615799 | + | 3.75621i | −0.0250151 | + | 0.152585i | ||||
\(607\) | 0.292911 | − | 5.40242i | 0.0118889 | − | 0.219277i | −0.986552 | − | 0.163450i | \(-0.947738\pi\) |
0.998440 | − | 0.0558272i | \(-0.0177796\pi\) | |||||||
\(608\) | −2.09304 | + | 0.460712i | −0.0848839 | + | 0.0186844i | ||||
\(609\) | 5.55597 | + | 5.26290i | 0.225139 | + | 0.213263i | ||||
\(610\) | −21.7881 | − | 7.34126i | −0.882174 | − | 0.297239i | ||||
\(611\) | −11.7350 | − | 29.4527i | −0.474749 | − | 1.19153i | ||||
\(612\) | −0.0721212 | + | 0.259757i | −0.00291533 | + | 0.0105001i | ||||
\(613\) | −25.3194 | − | 5.57322i | −1.02264 | − | 0.225100i | −0.328168 | − | 0.944620i | \(-0.606431\pi\) |
−0.694472 | + | 0.719519i | \(0.744362\pi\) | |||||||
\(614\) | −9.83603 | − | 14.5071i | −0.396950 | − | 0.585457i | ||||
\(615\) | −5.68697 | + | 10.7268i | −0.229321 | + | 0.432545i | ||||
\(616\) | −4.00729 | − | 7.55856i | −0.161458 | − | 0.304543i | ||||
\(617\) | −18.9174 | + | 27.9011i | −0.761586 | + | 1.12326i | 0.227190 | + | 0.973850i | \(0.427046\pi\) |
−0.988776 | + | 0.149405i | \(0.952264\pi\) | |||||||
\(618\) | 3.99522 | − | 3.78447i | 0.160711 | − | 0.152234i | ||||
\(619\) | −11.3617 | + | 5.25647i | −0.456664 | + | 0.211275i | −0.634716 | − | 0.772746i | \(-0.718883\pi\) |
0.178051 | + | 0.984021i | \(0.443021\pi\) | |||||||
\(620\) | 5.54274 | − | 2.56435i | 0.222602 | − | 0.102987i | ||||
\(621\) | 5.90726 | − | 5.59565i | 0.237050 | − | 0.224546i | ||||
\(622\) | 0.851665 | − | 1.25611i | 0.0341487 | − | 0.0503655i | ||||
\(623\) | 14.3876 | + | 27.1379i | 0.576428 | + | 1.08726i | ||||
\(624\) | 1.79137 | − | 3.37887i | 0.0717120 | − | 0.135263i | ||||
\(625\) | 12.5740 | + | 18.5452i | 0.502959 | + | 0.741809i | ||||
\(626\) | −11.8308 | − | 2.60417i | −0.472856 | − | 0.104083i | ||||
\(627\) | 1.38056 | − | 4.97232i | 0.0551342 | − | 0.198575i | ||||
\(628\) | −8.70557 | − | 21.8493i | −0.347390 | − | 0.871883i | ||||
\(629\) | 0.300729 | + | 0.101327i | 0.0119909 | + | 0.00404019i | ||||
\(630\) | 5.48769 | + | 5.19822i | 0.218635 | + | 0.207102i | ||||
\(631\) | 0.373848 | − | 0.0822902i | 0.0148827 | − | 0.00327592i | −0.207523 | − | 0.978230i | \(-0.566540\pi\) |
0.222406 | + | 0.974954i | \(0.428609\pi\) | |||||||
\(632\) | −0.153544 | + | 2.83196i | −0.00610766 | + | 0.112649i | ||||
\(633\) | 3.68529 | − | 22.4793i | 0.146477 | − | 0.893472i | ||||
\(634\) | −16.3351 | + | 19.2312i | −0.648749 | + | 0.763767i | ||||
\(635\) | −1.79333 | + | 4.50091i | −0.0711660 | + | 0.178613i | ||||
\(636\) | −0.225883 | − | 0.171712i | −0.00895685 | − | 0.00680882i | ||||
\(637\) | 18.4284 | + | 11.0880i | 0.730159 | + | 0.439322i | ||||
\(638\) | 0.839069 | + | 5.11810i | 0.0332191 | + | 0.202627i | ||||
\(639\) | 2.70609 | − | 0.294305i | 0.107051 | − | 0.0116425i | ||||
\(640\) | 1.69366 | − | 1.28749i | 0.0669479 | − | 0.0508925i | ||||
\(641\) | 5.76497 | + | 20.7636i | 0.227703 | + | 0.820111i | 0.985793 | + | 0.167962i | \(0.0537186\pi\) |
−0.758091 | + | 0.652149i | \(0.773868\pi\) | |||||||
\(642\) | 0.879070 | + | 16.2135i | 0.0346941 | + | 0.639895i | ||||
\(643\) | 5.75730 | + | 0.626144i | 0.227046 | + | 0.0246927i | 0.220935 | − | 0.975289i | \(-0.429089\pi\) |
0.00611116 | + | 0.999981i | \(0.498055\pi\) | |||||||
\(644\) | 24.7715 | − | 14.9045i | 0.976136 | − | 0.587321i | ||||
\(645\) | −15.1059 | − | 17.7840i | −0.594793 | − | 0.700245i | ||||
\(646\) | −0.547512 | + | 0.184478i | −0.0215416 | + | 0.00725820i | ||||
\(647\) | −40.8850 | − | 18.9154i | −1.60735 | − | 0.743641i | −0.608597 | − | 0.793480i | \(-0.708267\pi\) |
−0.998757 | + | 0.0498384i | \(0.984129\pi\) | |||||||
\(648\) | −1.00000 | −0.0392837 | ||||||||
\(649\) | −18.1548 | − | 3.53207i | −0.712640 | − | 0.138646i | ||||
\(650\) | −1.81229 | −0.0710840 | ||||||||
\(651\) | −9.25666 | − | 4.28259i | −0.362797 | − | 0.167848i | ||||
\(652\) | 8.25274 | − | 2.78067i | 0.323202 | − | 0.108900i | ||||
\(653\) | 10.4532 | + | 12.3065i | 0.409066 | + | 0.481590i | 0.927657 | − | 0.373433i | \(-0.121819\pi\) |
−0.518591 | + | 0.855022i | \(0.673543\pi\) | |||||||
\(654\) | 16.7912 | − | 10.1030i | 0.656590 | − | 0.395057i | ||||
\(655\) | 22.8118 | + | 2.48093i | 0.891330 | + | 0.0969379i | ||||
\(656\) | −0.308960 | − | 5.69844i | −0.0120629 | − | 0.222487i | ||||
\(657\) | 2.96684 | + | 10.6856i | 0.115747 | + | 0.416884i | ||||
\(658\) | −23.4486 | + | 17.8252i | −0.914123 | + | 0.694898i | ||||
\(659\) | 2.37957 | − | 0.258794i | 0.0926948 | − | 0.0100812i | −0.0616540 | − | 0.998098i | \(-0.519638\pi\) |
0.154349 | + | 0.988016i | \(0.450672\pi\) | |||||||
\(660\) | 0.828757 | + | 5.05519i | 0.0322593 | + | 0.196773i | ||||
\(661\) | −14.6499 | − | 8.81456i | −0.569816 | − | 0.342847i | 0.201312 | − | 0.979527i | \(-0.435479\pi\) |
−0.771128 | + | 0.636680i | \(0.780307\pi\) | |||||||
\(662\) | 18.5593 | + | 14.1084i | 0.721328 | + | 0.548339i | ||||
\(663\) | 0.381607 | − | 0.957762i | 0.0148204 | − | 0.0371964i | ||||
\(664\) | 9.82769 | − | 11.5701i | 0.381388 | − | 0.449005i | ||||
\(665\) | −2.62082 | + | 15.9863i | −0.101631 | + | 0.619922i | ||||
\(666\) | −0.0637298 | + | 1.17543i | −0.00246948 | + | 0.0455469i | ||||
\(667\) | −17.1164 | + | 3.76760i | −0.662748 | + | 0.145882i | ||||
\(668\) | −3.16659 | − | 2.99955i | −0.122519 | − | 0.116056i | ||||
\(669\) | 24.3953 | + | 8.21972i | 0.943176 | + | 0.317793i | ||||
\(670\) | −6.52499 | − | 16.3765i | −0.252082 | − | 0.632679i | ||||
\(671\) | −6.96162 | + | 25.0735i | −0.268750 | + | 0.967952i | ||||
\(672\) | −3.46991 | − | 0.763785i | −0.133855 | − | 0.0294637i | ||||
\(673\) | −22.5585 | − | 33.2713i | −0.869567 | − | 1.28251i | −0.958098 | − | 0.286441i | \(-0.907528\pi\) |
0.0885312 | − | 0.996073i | \(-0.471783\pi\) | |||||||
\(674\) | −2.69750 | + | 5.08803i | −0.103904 | + | 0.195983i | ||||
\(675\) | 0.221970 | + | 0.418679i | 0.00854361 | + | 0.0161150i | ||||
\(676\) | −0.912371 | + | 1.34565i | −0.0350912 | + | 0.0517556i | ||||
\(677\) | 5.67230 | − | 5.37308i | 0.218004 | − | 0.206504i | −0.570902 | − | 0.821018i | \(-0.693406\pi\) |
0.788906 | + | 0.614514i | \(0.210648\pi\) | |||||||
\(678\) | −1.01611 | + | 0.470103i | −0.0390235 | + | 0.0180542i | ||||
\(679\) | 12.0065 | − | 5.55479i | 0.460766 | − | 0.213173i | ||||
\(680\) | 0.416380 | − | 0.394416i | 0.0159675 | − | 0.0151252i | ||||
\(681\) | 16.1036 | − | 23.7511i | 0.617092 | − | 0.910143i | ||||
\(682\) | −3.23771 | − | 6.10696i | −0.123978 | − | 0.233848i | ||||
\(683\) | 12.0339 | − | 22.6984i | 0.460465 | − | 0.868530i | −0.539187 | − | 0.842186i | \(-0.681269\pi\) |
0.999653 | − | 0.0263442i | \(-0.00838660\pi\) | |||||||
\(684\) | −1.20270 | − | 1.77386i | −0.0459865 | − | 0.0678251i | ||||
\(685\) | −17.7286 | − | 3.90236i | −0.677374 | − | 0.149101i | ||||
\(686\) | −1.30824 | + | 4.71187i | −0.0499490 | + | 0.179900i | ||||
\(687\) | −6.15112 | − | 15.4381i | −0.234680 | − | 0.589002i | ||||
\(688\) | 10.3937 | + | 3.50203i | 0.396255 | + | 0.133514i | ||||
\(689\) | 0.787796 | + | 0.746240i | 0.0300126 | + | 0.0284295i | ||||
\(690\) | −16.9060 | + | 3.72129i | −0.643600 | + | 0.141667i | ||||
\(691\) | 0.818140 | − | 15.0897i | 0.0311235 | − | 0.574039i | −0.940832 | − | 0.338874i | \(-0.889954\pi\) |
0.971955 | − | 0.235165i | \(-0.0755632\pi\) | |||||||
\(692\) | −3.20022 | + | 19.5205i | −0.121654 | + | 0.742058i | ||||
\(693\) | 5.53847 | − | 6.52039i | 0.210389 | − | 0.247689i | ||||
\(694\) | 1.05490 | − | 2.64761i | 0.0400436 | − | 0.100502i | ||||
\(695\) | −5.55940 | − | 4.22615i | −0.210880 | − | 0.160307i | ||||
\(696\) | 1.84562 | + | 1.11047i | 0.0699580 | + | 0.0420923i | ||||
\(697\) | −0.248895 | − | 1.51819i | −0.00942758 | − | 0.0575057i | ||||
\(698\) | −6.43348 | + | 0.699683i | −0.243511 | + | 0.0264834i | ||||
\(699\) | −13.1870 | + | 10.0245i | −0.498780 | + | 0.379163i | ||||
\(700\) | 0.450434 | + | 1.62232i | 0.0170248 | + | 0.0613178i | ||||
\(701\) | 0.243460 | + | 4.49036i | 0.00919536 | + | 0.169598i | 0.999524 | + | 0.0308559i | \(0.00982330\pi\) |
−0.990328 | + | 0.138743i | \(0.955694\pi\) | |||||||
\(702\) | 3.80195 | + | 0.413487i | 0.143495 | + | 0.0156061i | ||||
\(703\) | −2.16169 | + | 1.30064i | −0.0815296 | + | 0.0490547i | ||||
\(704\) | −1.55882 | − | 1.83519i | −0.0587504 | − | 0.0691663i | ||||
\(705\) | 16.7137 | − | 5.63151i | 0.629476 | − | 0.212095i | ||||
\(706\) | −6.87208 | − | 3.17936i | −0.258634 | − | 0.119657i | ||||
\(707\) | −13.5239 | −0.508618 | ||||||||
\(708\) | −5.99915 | + | 4.79689i | −0.225462 | + | 0.180278i | ||||
\(709\) | 17.5093 | 0.657575 | 0.328788 | − | 0.944404i | \(-0.393360\pi\) | ||||
0.328788 | + | 0.944404i | \(0.393360\pi\) | |||||||
\(710\) | −5.25583 | − | 2.43161i | −0.197248 | − | 0.0912565i | ||||
\(711\) | −2.68765 | + | 0.905576i | −0.100795 | + | 0.0339617i | ||||
\(712\) | 5.59674 | + | 6.58899i | 0.209747 | + | 0.246933i | ||||
\(713\) | 20.0143 | − | 12.0422i | 0.749540 | − | 0.450983i | ||||
\(714\) | −0.952209 | − | 0.103559i | −0.0356355 | − | 0.00387560i | ||||
\(715\) | −1.06064 | − | 19.5623i | −0.0396655 | − | 0.731587i | ||||
\(716\) | −5.39325 | − | 19.4247i | −0.201555 | − | 0.725937i | ||||
\(717\) | −9.36123 | + | 7.11622i | −0.349601 | + | 0.265760i | ||||
\(718\) | −17.9425 | + | 1.95137i | −0.669609 | + | 0.0728244i | ||||
\(719\) | 2.53247 | + | 15.4474i | 0.0944450 | + | 0.576089i | 0.991075 | + | 0.133308i | \(0.0425599\pi\) |
−0.896630 | + | 0.442781i | \(0.853992\pi\) | |||||||
\(720\) | 1.82294 | + | 1.09682i | 0.0679368 | + | 0.0408762i | ||||
\(721\) | 15.5655 | + | 11.8326i | 0.579690 | + | 0.440669i | ||||
\(722\) | −5.33256 | + | 13.3837i | −0.198457 | + | 0.498090i | ||||
\(723\) | −10.5063 | + | 12.3690i | −0.390734 | + | 0.460008i | ||||
\(724\) | 1.23526 | − | 7.53473i | 0.0459079 | − | 0.280026i | ||||
\(725\) | 0.0552601 | − | 1.01921i | 0.00205231 | − | 0.0378526i | ||||
\(726\) | −5.08052 | + | 1.11831i | −0.188556 | + | 0.0415042i | ||||
\(727\) | 6.89888 | + | 6.53496i | 0.255865 | + | 0.242368i | 0.804871 | − | 0.593450i | \(-0.202235\pi\) |
−0.549005 | + | 0.835819i | \(0.684993\pi\) | |||||||
\(728\) | 12.8766 | + | 4.33864i | 0.477239 | + | 0.160801i | ||||
\(729\) | −0.370138 | − | 0.928977i | −0.0137088 | − | 0.0344065i | ||||
\(730\) | 6.31185 | − | 22.7332i | 0.233612 | − | 0.841395i | ||||
\(731\) | 2.88761 | + | 0.635611i | 0.106802 | + | 0.0235089i | ||||
\(732\) | 6.06477 | + | 8.94487i | 0.224160 | + | 0.330612i | ||||
\(733\) | −13.2245 | + | 24.9440i | −0.488456 | + | 0.921326i | 0.509684 | + | 0.860362i | \(0.329762\pi\) |
−0.998140 | + | 0.0609644i | \(0.980582\pi\) | |||||||
\(734\) | −6.41696 | − | 12.1037i | −0.236854 | − | 0.446755i | ||||
\(735\) | −6.71413 | + | 9.90260i | −0.247654 | + | 0.365263i | ||||
\(736\) | 5.90726 | − | 5.59565i | 0.217744 | − | 0.206258i | ||||
\(737\) | −18.1080 | + | 8.37764i | −0.667016 | + | 0.308594i | ||||
\(738\) | 5.17936 | − | 2.39623i | 0.190655 | − | 0.0882063i | ||||
\(739\) | −18.9924 | + | 17.9905i | −0.698646 | + | 0.661793i | −0.952181 | − | 0.305533i | \(-0.901165\pi\) |
0.253535 | + | 0.967326i | \(0.418407\pi\) | |||||||
\(740\) | 1.40541 | − | 2.07283i | 0.0516640 | − | 0.0761987i | ||||
\(741\) | 3.83915 | + | 7.24141i | 0.141035 | + | 0.266020i | ||||
\(742\) | 0.472212 | − | 0.890687i | 0.0173355 | − | 0.0326982i | ||||
\(743\) | 26.8290 | + | 39.5699i | 0.984261 | + | 1.45168i | 0.889909 | + | 0.456138i | \(0.150768\pi\) |
0.0943525 | + | 0.995539i | \(0.469922\pi\) | |||||||
\(744\) | −2.80353 | − | 0.617103i | −0.102782 | − | 0.0226241i | ||||
\(745\) | 2.83448 | − | 10.2089i | 0.103847 | − | 0.374024i | ||||
\(746\) | −0.102307 | − | 0.256772i | −0.00374573 | − | 0.00940108i | ||||
\(747\) | 14.3859 | + | 4.84718i | 0.526353 | + | 0.177349i | ||||
\(748\) | −0.471260 | − | 0.446402i | −0.0172310 | − | 0.0163221i | ||||
\(749\) | −56.3420 | + | 12.4018i | −2.05869 | + | 0.453152i | ||||
\(750\) | 0.630475 | − | 11.6284i | 0.0230217 | − | 0.424610i | ||||
\(751\) | −2.41398 | + | 14.7247i | −0.0880876 | + | 0.537310i | 0.905509 | + | 0.424326i | \(0.139489\pi\) |
−0.993597 | + | 0.112984i | \(0.963959\pi\) | |||||||
\(752\) | −5.36691 | + | 6.31842i | −0.195711 | + | 0.230409i | ||||
\(753\) | −6.39346 | + | 16.0464i | −0.232991 | + | 0.584762i | ||||
\(754\) | −6.55779 | − | 4.98510i | −0.238820 | − | 0.181547i | ||||
\(755\) | 39.7644 | + | 23.9255i | 1.44718 | + | 0.870737i | ||||
\(756\) | −0.574808 | − | 3.50617i | −0.0209056 | − | 0.127518i | ||||
\(757\) | 36.2708 | − | 3.94468i | 1.31828 | − | 0.143372i | 0.578204 | − | 0.815892i | \(-0.303754\pi\) |
0.740079 | + | 0.672520i | \(0.234788\pi\) | |||||||
\(758\) | 20.6175 | − | 15.6730i | 0.748861 | − | 0.569269i | ||||
\(759\) | 5.24150 | + | 18.8782i | 0.190254 | + | 0.685234i | ||||
\(760\) | 0.246845 | + | 4.55278i | 0.00895400 | + | 0.165147i | ||||
\(761\) | 27.3701 | + | 2.97668i | 0.992165 | + | 0.107904i | 0.589778 | − | 0.807565i | \(-0.299215\pi\) |
0.402387 | + | 0.915470i | \(0.368181\pi\) | |||||||
\(762\) | 1.95138 | − | 1.17410i | 0.0706909 | − | 0.0425333i | ||||
\(763\) | 45.0745 | + | 53.0658i | 1.63180 | + | 1.92111i | ||||
\(764\) | −1.07003 | + | 0.360537i | −0.0387125 | + | 0.0130438i | ||||
\(765\) | 0.520522 | + | 0.240819i | 0.0188195 | + | 0.00870683i | ||||
\(766\) | −14.2460 | −0.514728 | ||||||||
\(767\) | 24.7919 | − | 15.7570i | 0.895184 | − | 0.568951i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 44.7491 | + | 20.7031i | 1.61369 | + | 0.746574i | 0.999106 | − | 0.0422757i | \(-0.0134608\pi\) |
0.614587 | + | 0.788849i | \(0.289323\pi\) | |||||||
\(770\) | −17.2480 | + | 5.81153i | −0.621575 | + | 0.209433i | ||||
\(771\) | −2.60597 | − | 3.06799i | −0.0938518 | − | 0.110491i | ||||
\(772\) | 0.400214 | − | 0.240801i | 0.0144040 | − | 0.00866661i | ||||
\(773\) | −21.2756 | − | 2.31386i | −0.765231 | − | 0.0832239i | −0.282825 | − | 0.959172i | \(-0.591272\pi\) |
−0.482406 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(774\) | 0.593785 | + | 10.9517i | 0.0213431 | + | 0.393651i | ||||
\(775\) | 0.363930 | + | 1.31076i | 0.0130727 | + | 0.0470838i | ||||
\(776\) | 2.96418 | − | 2.25331i | 0.106408 | − | 0.0808891i | ||||
\(777\) | −4.15788 | + | 0.452197i | −0.149163 | + | 0.0162225i | ||||
\(778\) | 1.03544 | + | 6.31593i | 0.0371225 | + | 0.226437i | ||||
\(779\) | 10.4798 | + | 6.30549i | 0.375478 | + | 0.225917i | ||||
\(780\) | −6.47719 | − | 4.92383i | −0.231921 | − | 0.176301i | ||||
\(781\) | −2.42601 | + | 6.08883i | −0.0868096 | + | 0.217876i | ||||
\(782\) | 1.42007 | − | 1.67183i | 0.0507815 | − | 0.0597846i | ||||
\(783\) | −0.348469 | + | 2.12557i | −0.0124533 | + | 0.0759615i | ||||
\(784\) | 0.304459 | − | 5.61541i | 0.0108735 | − | 0.200550i | ||||
\(785\) | −48.8677 | + | 10.7566i | −1.74416 | + | 0.383920i | ||||
\(786\) | −7.83039 | − | 7.41734i | −0.279301 | − | 0.264568i | ||||
\(787\) | −23.8830 | − | 8.04713i | −0.851338 | − | 0.286849i | −0.140392 | − | 0.990096i | \(-0.544836\pi\) |
−0.710946 | + | 0.703247i | \(0.751733\pi\) | |||||||
\(788\) | −6.47516 | − | 16.2514i | −0.230668 | − | 0.578933i | ||||
\(789\) | −2.00201 | + | 7.21058i | −0.0712734 | + | 0.256704i | ||||
\(790\) | 5.89268 | + | 1.29708i | 0.209652 | + | 0.0461479i | ||||
\(791\) | −2.23233 | − | 3.29244i | −0.0793726 | − | 0.117066i | ||||
\(792\) | 1.12787 | − | 2.12739i | 0.0400771 | − | 0.0755934i | ||||
\(793\) | −19.3594 | − | 36.5156i | −0.687471 | − | 1.29671i | ||||
\(794\) | −19.8391 | + | 29.2605i | −0.704063 | + | 1.03842i | ||||
\(795\) | −0.438245 | + | 0.415128i | −0.0155430 | + | 0.0147231i | ||||
\(796\) | 24.1905 | − | 11.1917i | 0.857410 | − | 0.396680i | ||||
\(797\) | −16.1857 | + | 7.48829i | −0.573326 | + | 0.265249i | −0.685057 | − | 0.728490i | \(-0.740223\pi\) |
0.111731 | + | 0.993739i | \(0.464361\pi\) | |||||||
\(798\) | 5.52812 | − | 5.23652i | 0.195693 | − | 0.185371i | ||||
\(799\) | −1.25419 | + | 1.84979i | −0.0443699 | + | 0.0654407i | ||||
\(800\) | 0.221970 | + | 0.418679i | 0.00784781 | + | 0.0148025i | ||||
\(801\) | −4.04945 | + | 7.63808i | −0.143080 | + | 0.269878i | ||||
\(802\) | 13.2174 | + | 19.4942i | 0.466723 | + | 0.688365i | ||||
\(803\) | −26.0786 | − | 5.74033i | −0.920293 | − | 0.202572i | ||||
\(804\) | −2.21678 | + | 7.98413i | −0.0781799 | + | 0.281578i | ||||
\(805\) | −22.7652 | − | 57.1363i | −0.802368 | − | 2.01379i | ||||
\(806\) | 10.4037 | + | 3.50542i | 0.366455 | + | 0.123473i | ||||
\(807\) | 11.4816 | + | 10.8759i | 0.404171 | + | 0.382851i | ||||
\(808\) | −3.71736 | + | 0.818253i | −0.130776 | + | 0.0287860i | ||||
\(809\) | −0.314158 | + | 5.79431i | −0.0110452 | + | 0.203717i | 0.987802 | + | 0.155715i | \(0.0497681\pi\) |
−0.998847 | + | 0.0480020i | \(0.984715\pi\) | |||||||
\(810\) | −0.344186 | + | 2.09944i | −0.0120935 | + | 0.0737669i | ||||
\(811\) | −11.1841 | + | 13.1669i | −0.392725 | + | 0.462352i | −0.922619 | − | 0.385712i | \(-0.873956\pi\) |
0.529894 | + | 0.848064i | \(0.322232\pi\) | |||||||
\(812\) | −2.83263 | + | 7.10937i | −0.0994059 | + | 0.249490i | ||||
\(813\) | 11.1524 | + | 8.47782i | 0.391131 | + | 0.297330i | ||||
\(814\) | −2.42871 | − | 1.46131i | −0.0851262 | − | 0.0512187i | ||||
\(815\) | −2.99738 | − | 18.2832i | −0.104994 | − | 0.640433i | ||||
\(816\) | −0.268003 | + | 0.0291471i | −0.00938199 | + | 0.00102035i | ||||
\(817\) | −18.7126 | + | 14.2250i | −0.654671 | + | 0.497668i | ||||
\(818\) | 3.38091 | + | 12.1769i | 0.118211 | + | 0.425756i | ||||
\(819\) | 0.735634 | + | 13.5680i | 0.0257051 | + | 0.474103i | ||||
\(820\) | −12.0699 | − | 1.31268i | −0.421499 | − | 0.0458407i | ||||
\(821\) | −7.84938 | + | 4.72281i | −0.273945 | + | 0.164827i | −0.645897 | − | 0.763425i | \(-0.723516\pi\) |
0.371952 | + | 0.928252i | \(0.378689\pi\) | |||||||
\(822\) | 5.52394 | + | 6.50328i | 0.192669 | + | 0.226828i | ||||
\(823\) | −24.8826 | + | 8.38392i | −0.867352 | + | 0.292245i | −0.717581 | − | 0.696476i | \(-0.754750\pi\) |
−0.149772 | + | 0.988721i | \(0.547854\pi\) | |||||||
\(824\) | 4.99447 | + | 2.31069i | 0.173991 | + | 0.0804967i | ||||
\(825\) | −1.14104 | −0.0397261 | ||||||||
\(826\) | −20.2671 | − | 18.2768i | −0.705182 | − | 0.635930i | ||||
\(827\) | −5.26024 | −0.182916 | −0.0914582 | − | 0.995809i | \(-0.529153\pi\) | ||||
−0.0914582 | + | 0.995809i | \(0.529153\pi\) | |||||||
\(828\) | 7.38473 | + | 3.41654i | 0.256637 | + | 0.118733i | ||||
\(829\) | −18.2294 | + | 6.14219i | −0.633132 | + | 0.213327i | −0.617525 | − | 0.786551i | \(-0.711865\pi\) |
−0.0156068 | + | 0.999878i | \(0.504968\pi\) | |||||||
\(830\) | −20.9081 | − | 24.6149i | −0.725731 | − | 0.854396i | ||||
\(831\) | 0.985849 | − | 0.593165i | 0.0341987 | − | 0.0205767i | ||||
\(832\) | 3.80195 | + | 0.413487i | 0.131809 | + | 0.0143351i | ||||
\(833\) | −0.0820770 | − | 1.51382i | −0.00284380 | − | 0.0524508i | ||||
\(834\) | 0.878155 | + | 3.16283i | 0.0304080 | + | 0.109520i | ||||
\(835\) | −7.38728 | + | 5.61567i | −0.255647 | + | 0.194338i | ||||
\(836\) | 5.13017 | − | 0.557939i | 0.177431 | − | 0.0192967i | ||||
\(837\) | −0.464418 | − | 2.83283i | −0.0160526 | − | 0.0979168i | ||||
\(838\) | 23.6628 | + | 14.2374i | 0.817417 | + | 0.491824i | ||||
\(839\) | 32.6791 | + | 24.8420i | 1.12821 | + | 0.857641i | 0.991127 | − | 0.132919i | \(-0.0424352\pi\) |
0.137080 | + | 0.990560i | \(0.456228\pi\) | |||||||
\(840\) | −2.79782 | + | 7.02199i | −0.0965339 | + | 0.242282i | ||||
\(841\) | −15.7707 | + | 18.5667i | −0.543817 | + | 0.640230i | ||||
\(842\) | −3.24331 | + | 19.7833i | −0.111772 | + | 0.681778i | ||||
\(843\) | −0.724448 | + | 13.3617i | −0.0249513 | + | 0.460200i | ||||
\(844\) | 22.2468 | − | 4.89689i | 0.765767 | − | 0.168558i | ||||
\(845\) | 2.51108 | + | 2.37862i | 0.0863838 | + | 0.0818271i | ||||
\(846\) | −7.85616 | − | 2.64705i | −0.270100 | − | 0.0910074i | ||||
\(847\) | −6.84130 | − | 17.1704i | −0.235070 | − | 0.589981i | ||||
\(848\) | 0.0759084 | − | 0.273397i | 0.00260671 | − | 0.00938851i | ||||
\(849\) | −9.31294 | − | 2.04993i | −0.319619 | − | 0.0703536i | ||||
\(850\) | 0.0716918 | + | 0.105737i | 0.00245901 | + | 0.00362677i | ||||
\(851\) | 4.48652 | − | 8.46248i | 0.153796 | − | 0.290090i | ||||
\(852\) | 1.27503 | + | 2.40496i | 0.0436818 | + | 0.0823926i | ||||
\(853\) | −10.5192 | + | 15.5147i | −0.360171 | + | 0.531213i | −0.964000 | − | 0.265901i | \(-0.914331\pi\) |
0.603829 | + | 0.797114i | \(0.293641\pi\) | |||||||
\(854\) | −27.8762 | + | 26.4057i | −0.953903 | + | 0.903585i | ||||
\(855\) | −4.13806 | + | 1.91447i | −0.141519 | + | 0.0654735i | ||||
\(856\) | −14.7366 | + | 6.81787i | −0.503686 | + | 0.233030i | ||||
\(857\) | 2.88177 | − | 2.72976i | 0.0984395 | − | 0.0932468i | −0.636897 | − | 0.770949i | \(-0.719783\pi\) |
0.735337 | + | 0.677702i | \(0.237024\pi\) | |||||||
\(858\) | −5.16775 | + | 7.62185i | −0.176424 | + | 0.260206i | ||||
\(859\) | 23.1548 | + | 43.6746i | 0.790031 | + | 1.49016i | 0.869833 | + | 0.493346i | \(0.164226\pi\) |
−0.0798024 | + | 0.996811i | \(0.525429\pi\) | |||||||
\(860\) | 10.9297 | − | 20.6155i | 0.372699 | − | 0.702984i | ||||
\(861\) | 11.3787 | + | 16.7824i | 0.387786 | + | 0.571942i | ||||
\(862\) | 33.6048 | + | 7.39698i | 1.14459 | + | 0.251942i | ||||
\(863\) | 12.3282 | − | 44.4021i | 0.419657 | − | 1.51147i | −0.387914 | − | 0.921696i | \(-0.626804\pi\) |
0.807571 | − | 0.589771i | \(-0.200782\pi\) | |||||||
\(864\) | −0.370138 | − | 0.928977i | −0.0125924 | − | 0.0316044i | ||||
\(865\) | 39.8807 | + | 13.4374i | 1.35598 | + | 0.456884i | ||||
\(866\) | −6.42581 | − | 6.08685i | −0.218358 | − | 0.206839i | ||||
\(867\) | 16.5316 | − | 3.63887i | 0.561442 | − | 0.123583i | ||||
\(868\) | 0.552181 | − | 10.1844i | 0.0187422 | − | 0.345680i | ||||
\(869\) | 1.10481 | − | 6.73905i | 0.0374781 | − | 0.228606i | ||||
\(870\) | 2.96661 | − | 3.49256i | 0.100577 | − | 0.118409i | ||||
\(871\) | 11.7294 | − | 29.4386i | 0.397436 | − | 0.997490i | ||||
\(872\) | 15.6005 | + | 11.8592i | 0.528299 | + | 0.401603i | ||||
\(873\) | 3.19043 | + | 1.91962i | 0.107980 | + | 0.0649691i | ||||
\(874\) | 2.82120 | + | 17.2085i | 0.0954284 | + | 0.582087i | ||||
\(875\) | 41.1337 | − | 4.47356i | 1.39057 | − | 0.151234i | ||||
\(876\) | −8.82852 | + | 6.71127i | −0.298288 | + | 0.226753i | ||||
\(877\) | −14.6234 | − | 52.6686i | −0.493796 | − | 1.77849i | −0.617936 | − | 0.786228i | \(-0.712031\pi\) |
0.124140 | − | 0.992265i | \(-0.460383\pi\) | |||||||
\(878\) | 2.05726 | + | 37.9440i | 0.0694293 | + | 1.28055i | ||||
\(879\) | 5.50946 | + | 0.599189i | 0.185829 | + | 0.0202102i | ||||
\(880\) | −4.38940 | + | 2.64102i | −0.147967 | + | 0.0890286i | ||||
\(881\) | −9.85060 | − | 11.5970i | −0.331875 | − | 0.390713i | 0.570762 | − | 0.821115i | \(-0.306648\pi\) |
−0.902637 | + | 0.430402i | \(0.858372\pi\) | |||||||
\(882\) | 5.32928 | − | 1.79564i | 0.179446 | − | 0.0604624i | ||||
\(883\) | −19.6538 | − | 9.09283i | −0.661404 | − | 0.305998i | 0.0603198 | − | 0.998179i | \(-0.480788\pi\) |
−0.721724 | + | 0.692181i | \(0.756650\pi\) | |||||||
\(884\) | 1.03099 | 0.0346758 | ||||||||
\(885\) | 8.00597 | + | 14.2459i | 0.269118 | + | 0.478870i | ||||
\(886\) | −2.87036 | −0.0964315 | ||||||||
\(887\) | 17.4724 | + | 8.08360i | 0.586666 | + | 0.271421i | 0.690686 | − | 0.723154i | \(-0.257309\pi\) |
−0.104020 | + | 0.994575i | \(0.533171\pi\) | |||||||
\(888\) | −1.11553 | + | 0.375867i | −0.0374348 | + | 0.0126133i | ||||
\(889\) | 5.23828 | + | 6.16698i | 0.175686 | + | 0.206834i | ||||
\(890\) | 15.7595 | − | 9.48219i | 0.528261 | − | 0.317844i | ||||
\(891\) | 2.39376 | + | 0.260337i | 0.0801940 | + | 0.00872162i | ||||
\(892\) | 1.39369 | + | 25.7051i | 0.0466641 | + | 0.860669i | ||||
\(893\) | −4.75315 | − | 17.1193i | −0.159058 | − | 0.572876i | ||||
\(894\) | −3.96464 | + | 3.01384i | −0.132598 | + | 0.100798i | ||||
\(895\) | −42.6374 | + | 4.63710i | −1.42521 | + | 0.155001i | ||||
\(896\) | −0.574808 | − | 3.50617i | −0.0192030 | − | 0.117133i | ||||
\(897\) | −26.6637 | − | 16.0430i | −0.890274 | − | 0.535660i | ||||
\(898\) | 7.46119 | + | 5.67185i | 0.248983 | + | 0.189272i | ||||
\(899\) | −2.28864 | + | 5.74404i | −0.0763303 | + | 0.191575i | ||||
\(900\) | −0.306784 | + | 0.361174i | −0.0102261 | + | 0.0120391i | ||||
\(901\) | 0.0123750 | − | 0.0754839i | 0.000412269 | − | 0.00251473i | ||||
\(902\) | −0.743938 | + | 13.7211i | −0.0247704 | + | 0.456864i | ||||
\(903\) | −38.0573 | + | 8.37704i | −1.26647 | + | 0.278771i | ||||
\(904\) | −0.812816 | − | 0.769940i | −0.0270339 | − | 0.0256078i | ||||
\(905\) | −15.3936 | − | 5.18670i | −0.511699 | − | 0.172412i | ||||
\(906\) | −8.07397 | − | 20.2641i | −0.268240 | − | 0.673231i | ||||
\(907\) | −8.29439 | + | 29.8737i | −0.275411 | + | 0.991939i | 0.688396 | + | 0.725336i | \(0.258315\pi\) |
−0.963806 | + | 0.266604i | \(0.914098\pi\) | |||||||
\(908\) | 28.0248 | + | 6.16872i | 0.930034 | + | 0.204716i | ||||
\(909\) | −2.13607 | − | 3.15047i | −0.0708491 | − | 0.104495i | ||||
\(910\) | 13.5407 | − | 25.5404i | 0.448869 | − | 0.846656i | ||||
\(911\) | −8.40720 | − | 15.8577i | −0.278543 | − | 0.525388i | 0.704284 | − | 0.709919i | \(-0.251268\pi\) |
−0.982827 | + | 0.184531i | \(0.940923\pi\) | |||||||
\(912\) | 1.20270 | − | 1.77386i | 0.0398255 | − | 0.0587382i | ||||
\(913\) | −26.5372 | + | 25.1374i | −0.878255 | + | 0.831927i | ||||
\(914\) | 34.5417 | − | 15.9807i | 1.14254 | − | 0.528594i | ||||
\(915\) | 20.8666 | − | 9.65394i | 0.689830 | − | 0.319149i | ||||
\(916\) | 12.0649 | − | 11.4285i | 0.398636 | − | 0.377608i | ||||
\(917\) | 21.5055 | − | 31.7182i | 0.710174 | − | 1.04743i | ||||
\(918\) | −0.126275 | − | 0.238180i | −0.00416770 | − | 0.00786112i | ||||
\(919\) | −1.03226 | + | 1.94705i | −0.0340511 | + | 0.0642272i | −0.899954 | − | 0.435985i | \(-0.856400\pi\) |
0.865903 | + | 0.500212i | \(0.166745\pi\) | |||||||
\(920\) | −9.71455 | − | 14.3279i | −0.320279 | − | 0.472377i | ||||
\(921\) | 17.1174 | + | 3.76783i | 0.564038 | + | 0.124154i | ||||
\(922\) | 9.60902 | − | 34.6086i | 0.316456 | − | 1.13977i | ||||
\(923\) | −3.85318 | − | 9.67074i | −0.126829 | − | 0.318316i | ||||
\(924\) | 8.10729 | + | 2.73167i | 0.266710 | + | 0.0898652i | ||||
\(925\) | 0.404982 | + | 0.383619i | 0.0133157 | + | 0.0126133i | ||||
\(926\) | −7.31168 | + | 1.60942i | −0.240277 | + | 0.0528889i | ||||
\(927\) | −0.297931 | + | 5.49502i | −0.00978535 | + | 0.180480i | ||||
\(928\) | −0.348469 | + | 2.12557i | −0.0114390 | + | 0.0697751i | ||||
\(929\) | 14.9954 | − | 17.6540i | 0.491984 | − | 0.579209i | −0.459005 | − | 0.888434i | \(-0.651794\pi\) |
0.950989 | + | 0.309225i | \(0.100070\pi\) | |||||||
\(930\) | −2.26051 | + | 5.67345i | −0.0741250 | + | 0.186040i | ||||
\(931\) | 9.59475 | + | 7.29374i | 0.314455 | + | 0.239043i | ||||
\(932\) | −14.1936 | − | 8.54000i | −0.464926 | − | 0.279737i | ||||
\(933\) | 0.245523 | + | 1.49762i | 0.00803805 | + | 0.0490299i | ||||
\(934\) | 33.8890 | − | 3.68565i | 1.10888 | − | 0.120598i | ||||
\(935\) | −1.09940 | + | 0.835739i | −0.0359541 | + | 0.0273316i | ||||
\(936\) | 1.02313 | + | 3.68497i | 0.0334419 | + | 0.120447i | ||||
\(937\) | −1.75267 | − | 32.3261i | −0.0572572 | − | 1.05605i | −0.876131 | − | 0.482073i | \(-0.839884\pi\) |
0.818874 | − | 0.573974i | \(-0.194599\pi\) | |||||||
\(938\) | −29.2680 | − | 3.18308i | −0.955633 | − | 0.103931i | ||||
\(939\) | 10.3800 | − | 6.24545i | 0.338739 | − | 0.203813i | ||||
\(940\) | 11.4179 | + | 13.4422i | 0.372412 | + | 0.438437i | ||||
\(941\) | 22.2661 | − | 7.50234i | 0.725856 | − | 0.244569i | 0.0679703 | − | 0.997687i | \(-0.478348\pi\) |
0.657885 | + | 0.753118i | \(0.271451\pi\) | |||||||
\(942\) | 21.3460 | + | 9.87570i | 0.695489 | + | 0.321768i | ||||
\(943\) | −46.4350 | −1.51213 | ||||||||
\(944\) | −6.67672 | − | 3.79756i | −0.217309 | − | 0.123600i | ||||
\(945\) | −7.55885 | −0.245889 | ||||||||
\(946\) | −23.9682 | − | 11.0889i | −0.779274 | − | 0.360531i | ||||
\(947\) | 23.7500 | − | 8.00230i | 0.771771 | − | 0.260040i | 0.0942550 | − | 0.995548i | \(-0.469953\pi\) |
0.677516 | + | 0.735508i | \(0.263057\pi\) | |||||||
\(948\) | −1.83606 | − | 2.16158i | −0.0596325 | − | 0.0702048i | ||||
\(949\) | 36.3406 | − | 21.8654i | 1.17967 | − | 0.709781i | ||||
\(950\) | −1.00964 | − | 0.109805i | −0.0327570 | − | 0.00356254i | ||||
\(951\) | −1.36605 | − | 25.1954i | −0.0442973 | − | 0.817016i | ||||
\(952\) | −0.256245 | − | 0.922911i | −0.00830495 | − | 0.0299117i | ||||
\(953\) | 27.5353 | − | 20.9318i | 0.891955 | − | 0.678047i | −0.0553195 | − | 0.998469i | \(-0.517618\pi\) |
0.947275 | + | 0.320422i | \(0.103825\pi\) | |||||||
\(954\) | 0.282076 | − | 0.0306777i | 0.00913256 | − | 0.000993226i | ||||
\(955\) | 0.388635 | + | 2.37057i | 0.0125759 | + | 0.0767097i | ||||
\(956\) | −10.0758 | − | 6.06238i | −0.325873 | − | 0.196071i | ||||
\(957\) | −4.12887 | − | 3.13869i | −0.133467 | − | 0.101459i | ||||
\(958\) | 8.14423 | − | 20.4405i | 0.263128 | − | 0.660402i | ||||
\(959\) | −19.6264 | + | 23.1060i | −0.633771 | + | 0.746132i | ||||
\(960\) | −0.344186 | + | 2.09944i | −0.0111086 | + | 0.0677592i | ||||
\(961\) | −1.23217 | + | 22.7260i | −0.0397474 | + | 0.733098i | ||||
\(962\) | 4.39662 | − | 0.967769i | 0.141753 | − | 0.0312021i | ||||
\(963\) | −11.7882 | − | 11.1664i | −0.379870 | − | 0.359832i | ||||
\(964\) | −15.3793 | − | 5.18189i | −0.495334 | − | 0.166897i | ||||
\(965\) | −0.367799 | − | 0.923106i | −0.0118399 | − | 0.0297158i | ||||
\(966\) | −7.73418 | + | 27.8560i | −0.248843 | + | 0.896252i | ||||
\(967\) | 34.7022 | + | 7.63853i | 1.11595 | + | 0.245638i | 0.734404 | − | 0.678713i | \(-0.237462\pi\) |
0.381543 | + | 0.924351i | \(0.375393\pi\) | |||||||
\(968\) | −2.91937 | − | 4.30575i | −0.0938322 | − | 0.138392i | ||||
\(969\) | 0.270626 | − | 0.510454i | 0.00869375 | − | 0.0163982i | ||||
\(970\) | −3.71046 | − | 6.99867i | −0.119136 | − | 0.224714i | ||||
\(971\) | −21.6454 | + | 31.9246i | −0.694634 | + | 1.02451i | 0.302810 | + | 0.953051i | \(0.402075\pi\) |
−0.997444 | + | 0.0714576i | \(0.977235\pi\) | |||||||
\(972\) | 0.725995 | − | 0.687699i | 0.0232863 | − | 0.0220580i | ||||
\(973\) | −10.5847 | + | 4.89698i | −0.339328 | + | 0.156990i | ||||
\(974\) | 12.1924 | − | 5.64079i | 0.390669 | − | 0.180743i | ||||
\(975\) | 1.31572 | − | 1.24631i | 0.0421366 | − | 0.0399139i | ||||
\(976\) | −6.06477 | + | 8.94487i | −0.194129 | + | 0.286318i | ||||
\(977\) | 14.7071 | + | 27.7406i | 0.470522 | + | 0.887499i | 0.999251 | + | 0.0387082i | \(0.0123243\pi\) |
−0.528728 | + | 0.848791i | \(0.677331\pi\) | |||||||
\(978\) | −4.07919 | + | 7.69416i | −0.130438 | + | 0.246032i | ||||
\(979\) | −11.6819 | − | 17.2295i | −0.373355 | − | 0.550657i | ||||
\(980\) | −11.6844 | − | 2.57194i | −0.373246 | − | 0.0821576i | ||||
\(981\) | −5.24257 | + | 18.8820i | −0.167382 | + | 0.602857i | ||||
\(982\) | 5.51494 | + | 13.8415i | 0.175989 | + | 0.441699i | ||||
\(983\) | 37.4410 | + | 12.6154i | 1.19418 | + | 0.402367i | 0.845041 | − | 0.534702i | \(-0.179576\pi\) |
0.349143 | + | 0.937069i | \(0.386473\pi\) | |||||||
\(984\) | 4.14312 | + | 3.92457i | 0.132078 | + | 0.125111i | ||||
\(985\) | −36.3476 | + | 8.00071i | −1.15813 | + | 0.254924i | ||||
\(986\) | −0.0314367 | + | 0.579815i | −0.00100115 | + | 0.0184651i | ||||
\(987\) | 4.76523 | − | 29.0666i | 0.151679 | − | 0.925200i | ||||
\(988\) | −5.30609 | + | 6.24681i | −0.168809 | + | 0.198737i | ||||
\(989\) | 33.0320 | − | 82.9041i | 1.05036 | − | 2.63620i | ||||
\(990\) | −4.07813 | − | 3.10011i | −0.129611 | − | 0.0985280i | ||||
\(991\) | 21.9803 | + | 13.2251i | 0.698227 | + | 0.420109i | 0.819935 | − | 0.572457i | \(-0.194009\pi\) |
−0.121708 | + | 0.992566i | \(0.538837\pi\) | |||||||
\(992\) | −0.464418 | − | 2.83283i | −0.0147453 | − | 0.0899423i | ||||
\(993\) | −23.1763 | + | 2.52058i | −0.735478 | + | 0.0799881i | ||||
\(994\) | −7.69931 | + | 5.85286i | −0.244207 | + | 0.185642i | ||||
\(995\) | −15.1703 | − | 54.6386i | −0.480932 | − | 1.73216i | ||||
\(996\) | 0.821859 | + | 15.1583i | 0.0260416 | + | 0.480309i | ||||
\(997\) | 16.4687 | + | 1.79108i | 0.521570 | + | 0.0567241i | 0.365118 | − | 0.930961i | \(-0.381029\pi\) |
0.156452 | + | 0.987686i | \(0.449994\pi\) | |||||||
\(998\) | −25.7564 | + | 15.4971i | −0.815303 | + | 0.490552i | ||||
\(999\) | −0.762073 | − | 0.897182i | −0.0241109 | − | 0.0283856i |
(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 | 354.2.e.b.79.2 | ✓ | 56 | |
59.3 | even | 29 | inner | 354.2.e.b.121.2 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.b.79.2 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.b.121.2 | yes | 56 | 59.3 | even | 29 | inner |