Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(5,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.2.g.a.14.4 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.298617 | − | 1.01700i | 0.211154 | − | 0.719126i | −0.783996 | − | 0.620765i | \(-0.786822\pi\) |
0.995151 | − | 0.0983605i | \(-0.0313598\pi\) | |||||||
\(3\) | −0.239057 | + | 1.71547i | −0.138019 | + | 0.990430i | ||||
\(4\) | 0.737395 | + | 0.473895i | 0.368698 | + | 0.236948i | ||||
\(5\) | 0.228939 | − | 1.59231i | 0.102385 | − | 0.712102i | −0.872374 | − | 0.488840i | \(-0.837420\pi\) |
0.974758 | − | 0.223262i | \(-0.0716707\pi\) | |||||||
\(6\) | 1.67325 | + | 0.755391i | 0.683100 | + | 0.308387i | ||||
\(7\) | −1.28446 | + | 0.586593i | −0.485480 | + | 0.221711i | −0.643091 | − | 0.765790i | \(-0.722348\pi\) |
0.157611 | + | 0.987501i | \(0.449621\pi\) | |||||||
\(8\) | 2.30424 | − | 1.99663i | 0.814670 | − | 0.705916i | ||||
\(9\) | −2.88570 | − | 0.820191i | −0.961901 | − | 0.273397i | ||||
\(10\) | −1.55101 | − | 0.708322i | −0.490472 | − | 0.223991i | ||||
\(11\) | −4.31116 | + | 1.26587i | −1.29986 | + | 0.381674i | −0.857186 | − | 0.515007i | \(-0.827789\pi\) |
−0.442677 | + | 0.896681i | \(0.645971\pi\) | |||||||
\(12\) | −0.989235 | + | 1.15170i | −0.285567 | + | 0.332466i | ||||
\(13\) | 1.54864 | − | 3.39104i | 0.429514 | − | 0.940505i | −0.563891 | − | 0.825849i | \(-0.690696\pi\) |
0.993405 | − | 0.114656i | \(-0.0365765\pi\) | |||||||
\(14\) | 0.213002 | + | 1.48146i | 0.0569271 | + | 0.395937i | ||||
\(15\) | 2.67684 | + | 0.773392i | 0.691156 | + | 0.199689i | ||||
\(16\) | −0.614226 | − | 1.34497i | −0.153556 | − | 0.336242i | ||||
\(17\) | −3.34349 | + | 2.14873i | −0.810915 | + | 0.521143i | −0.879161 | − | 0.476525i | \(-0.841896\pi\) |
0.0682462 | + | 0.997669i | \(0.478260\pi\) | |||||||
\(18\) | −1.69585 | + | 2.68983i | −0.399717 | + | 0.633999i | ||||
\(19\) | −1.74911 | + | 2.72167i | −0.401273 | + | 0.624394i | −0.981816 | − | 0.189836i | \(-0.939204\pi\) |
0.580542 | + | 0.814230i | \(0.302841\pi\) | |||||||
\(20\) | 0.923407 | − | 1.06567i | 0.206480 | − | 0.238291i | ||||
\(21\) | −0.699227 | − | 2.34369i | −0.152584 | − | 0.511434i | ||||
\(22\) | 4.76245i | 1.01536i | ||||||||
\(23\) | 4.78334 | + | 0.345872i | 0.997396 | + | 0.0721194i | ||||
\(24\) | 2.87433 | + | 4.43017i | 0.586720 | + | 0.904304i | ||||
\(25\) | 2.31443 | + | 0.679578i | 0.462886 | + | 0.135916i | ||||
\(26\) | −2.98623 | − | 2.58758i | −0.585648 | − | 0.507466i | ||||
\(27\) | 2.09686 | − | 4.75428i | 0.403542 | − | 0.914961i | ||||
\(28\) | −1.22514 | − | 0.176148i | −0.231529 | − | 0.0332889i | ||||
\(29\) | −0.915281 | − | 1.42420i | −0.169963 | − | 0.264468i | 0.745814 | − | 0.666154i | \(-0.232061\pi\) |
−0.915777 | + | 0.401686i | \(0.868424\pi\) | |||||||
\(30\) | 1.58589 | − | 2.49139i | 0.289542 | − | 0.454863i | ||||
\(31\) | −5.36145 | − | 6.18744i | −0.962945 | − | 1.11130i | −0.993734 | − | 0.111772i | \(-0.964347\pi\) |
0.0307889 | − | 0.999526i | \(-0.490198\pi\) | |||||||
\(32\) | 4.48457 | − | 0.644784i | 0.792767 | − | 0.113983i | ||||
\(33\) | −1.14096 | − | 7.69830i | −0.198615 | − | 1.34010i | ||||
\(34\) | 1.18683 | + | 4.04197i | 0.203539 | + | 0.693191i | ||||
\(35\) | 0.639974 | + | 2.17955i | 0.108175 | + | 0.368411i | ||||
\(36\) | −1.73922 | − | 1.97233i | −0.289870 | − | 0.328721i | ||||
\(37\) | 3.88889 | − | 0.559137i | 0.639329 | − | 0.0919216i | 0.184975 | − | 0.982743i | \(-0.440779\pi\) |
0.454353 | + | 0.890822i | \(0.349870\pi\) | |||||||
\(38\) | 2.24562 | + | 2.59158i | 0.364287 | + | 0.420410i | ||||
\(39\) | 5.44703 | + | 3.46729i | 0.872222 | + | 0.555211i | ||||
\(40\) | −2.65172 | − | 4.12616i | −0.419274 | − | 0.652404i | ||||
\(41\) | 1.40816 | + | 0.202463i | 0.219917 | + | 0.0316193i | 0.251393 | − | 0.967885i | \(-0.419111\pi\) |
−0.0314753 | + | 0.999505i | \(0.510021\pi\) | |||||||
\(42\) | −2.59233 | + | 0.0112461i | −0.400004 | + | 0.00173530i | ||||
\(43\) | 7.30732 | + | 6.33183i | 1.11436 | + | 0.965595i | 0.999613 | − | 0.0278003i | \(-0.00885026\pi\) |
0.114742 | + | 0.993395i | \(0.463396\pi\) | |||||||
\(44\) | −3.77892 | − | 1.10959i | −0.569694 | − | 0.167277i | ||||
\(45\) | −1.96665 | + | 4.40716i | −0.293171 | + | 0.656980i | ||||
\(46\) | 1.78014 | − | 4.76136i | 0.262467 | − | 0.702025i | ||||
\(47\) | 9.42076i | 1.37416i | 0.726582 | + | 0.687080i | \(0.241108\pi\) | ||||
−0.726582 | + | 0.687080i | \(0.758892\pi\) | |||||||
\(48\) | 2.45409 | − | 0.732165i | 0.354218 | − | 0.105679i | ||||
\(49\) | −3.27828 | + | 3.78334i | −0.468326 | + | 0.540477i | ||||
\(50\) | 1.38226 | − | 2.15084i | 0.195481 | − | 0.304174i | ||||
\(51\) | −2.88680 | − | 6.24933i | −0.404234 | − | 0.875082i | ||||
\(52\) | 2.74895 | − | 1.76665i | 0.381211 | − | 0.244990i | ||||
\(53\) | 0.748661 | + | 1.63934i | 0.102837 | + | 0.225181i | 0.954055 | − | 0.299630i | \(-0.0968633\pi\) |
−0.851219 | + | 0.524811i | \(0.824136\pi\) | |||||||
\(54\) | −4.20893 | − | 3.55222i | −0.572763 | − | 0.483395i | ||||
\(55\) | 1.02866 | + | 7.15451i | 0.138705 | + | 0.964713i | ||||
\(56\) | −1.78849 | + | 3.91624i | −0.238997 | + | 0.523330i | ||||
\(57\) | −4.25082 | − | 3.65119i | −0.563034 | − | 0.483612i | ||||
\(58\) | −1.72173 | + | 0.505546i | −0.226074 | + | 0.0663814i | ||||
\(59\) | 5.57035 | + | 2.54389i | 0.725198 | + | 0.331187i | 0.743582 | − | 0.668644i | \(-0.233125\pi\) |
−0.0183847 | + | 0.999831i | \(0.505852\pi\) | |||||||
\(60\) | 1.60738 | + | 1.83884i | 0.207512 | + | 0.237393i | ||||
\(61\) | −1.67433 | + | 1.45081i | −0.214376 | + | 0.185758i | −0.755429 | − | 0.655231i | \(-0.772571\pi\) |
0.541053 | + | 0.840989i | \(0.318026\pi\) | |||||||
\(62\) | −7.89364 | + | 3.60490i | −1.00249 | + | 0.457823i | ||||
\(63\) | 4.18769 | − | 0.639231i | 0.527599 | − | 0.0805356i | ||||
\(64\) | 1.10428 | − | 7.68041i | 0.138034 | − | 0.960051i | ||||
\(65\) | −5.04504 | − | 3.24225i | −0.625760 | − | 0.402151i | ||||
\(66\) | −8.16986 | − | 1.13850i | −1.00564 | − | 0.140139i | ||||
\(67\) | 3.35387 | − | 11.4222i | 0.409741 | − | 1.39545i | −0.453770 | − | 0.891119i | \(-0.649921\pi\) |
0.863511 | − | 0.504331i | \(-0.168261\pi\) | |||||||
\(68\) | −3.48374 | −0.422466 | ||||||||
\(69\) | −1.73683 | + | 8.12302i | −0.209089 | + | 0.977897i | ||||
\(70\) | 2.40771 | 0.287776 | ||||||||
\(71\) | −1.99326 | + | 6.78844i | −0.236557 | + | 0.805639i | 0.752562 | + | 0.658521i | \(0.228818\pi\) |
−0.989119 | + | 0.147118i | \(0.953000\pi\) | |||||||
\(72\) | −8.28696 | + | 3.87177i | −0.976628 | + | 0.456293i | ||||
\(73\) | −8.24368 | − | 5.29789i | −0.964850 | − | 0.620072i | −0.0395139 | − | 0.999219i | \(-0.512581\pi\) |
−0.925336 | + | 0.379147i | \(0.876217\pi\) | |||||||
\(74\) | 0.592648 | − | 4.12196i | 0.0688939 | − | 0.479168i | ||||
\(75\) | −1.71908 | + | 3.80789i | −0.198502 | + | 0.439697i | ||||
\(76\) | −2.57957 | + | 1.17805i | −0.295897 | + | 0.135132i | ||||
\(77\) | 4.79496 | − | 4.15486i | 0.546436 | − | 0.473490i | ||||
\(78\) | 5.15281 | − | 4.50422i | 0.583441 | − | 0.510002i | ||||
\(79\) | −3.41100 | − | 1.55775i | −0.383767 | − | 0.175261i | 0.214184 | − | 0.976793i | \(-0.431291\pi\) |
−0.597951 | + | 0.801533i | \(0.704018\pi\) | |||||||
\(80\) | −2.28222 | + | 0.670121i | −0.255160 | + | 0.0749218i | ||||
\(81\) | 7.65457 | + | 4.73366i | 0.850508 | + | 0.525962i | ||||
\(82\) | 0.626405 | − | 1.37163i | 0.0691748 | − | 0.151472i | ||||
\(83\) | −2.14609 | − | 14.9264i | −0.235564 | − | 1.63838i | −0.673364 | − | 0.739311i | \(-0.735151\pi\) |
0.437800 | − | 0.899073i | \(-0.355758\pi\) | |||||||
\(84\) | 0.595056 | − | 2.05958i | 0.0649259 | − | 0.224719i | ||||
\(85\) | 2.65598 | + | 5.81579i | 0.288082 | + | 0.630811i | ||||
\(86\) | 8.62155 | − | 5.54073i | 0.929685 | − | 0.597473i | ||||
\(87\) | 2.66199 | − | 1.22967i | 0.285395 | − | 0.131835i | ||||
\(88\) | −7.40645 | + | 11.5247i | −0.789530 | + | 1.22853i | ||||
\(89\) | 0.298008 | − | 0.343919i | 0.0315887 | − | 0.0364554i | −0.739735 | − | 0.672898i | \(-0.765049\pi\) |
0.771324 | + | 0.636443i | \(0.219595\pi\) | |||||||
\(90\) | 3.89479 | + | 3.31613i | 0.410547 | + | 0.349551i | ||||
\(91\) | 5.26407i | 0.551825i | ||||||||
\(92\) | 3.36331 | + | 2.52185i | 0.350649 | + | 0.262921i | ||||
\(93\) | 11.8961 | − | 7.71828i | 1.23357 | − | 0.800348i | ||||
\(94\) | 9.58089 | + | 2.81320i | 0.988194 | + | 0.290160i | ||||
\(95\) | 3.93330 | + | 3.40822i | 0.403548 | + | 0.349676i | ||||
\(96\) | 0.0340433 | + | 7.84730i | 0.00347453 | + | 0.800912i | ||||
\(97\) | −8.23456 | − | 1.18395i | −0.836093 | − | 0.120212i | −0.289047 | − | 0.957315i | \(-0.593338\pi\) |
−0.547045 | + | 0.837103i | \(0.684248\pi\) | |||||||
\(98\) | 2.86869 | + | 4.46377i | 0.289782 | + | 0.450909i | ||||
\(99\) | 13.4790 | − | 0.116952i | 1.35469 | − | 0.0117541i | ||||
\(100\) | 1.38460 | + | 1.59792i | 0.138460 | + | 0.159792i | ||||
\(101\) | −6.96023 | + | 1.00073i | −0.692569 | + | 0.0995763i | −0.479606 | − | 0.877484i | \(-0.659220\pi\) |
−0.212963 | + | 0.977060i | \(0.568311\pi\) | |||||||
\(102\) | −7.21761 | + | 1.06971i | −0.714649 | + | 0.105917i | ||||
\(103\) | 3.32222 | + | 11.3144i | 0.327348 | + | 1.11484i | 0.944640 | + | 0.328109i | \(0.106411\pi\) |
−0.617292 | + | 0.786734i | \(0.711770\pi\) | |||||||
\(104\) | −3.20223 | − | 10.9058i | −0.314005 | − | 1.06940i | ||||
\(105\) | −3.89195 | + | 0.576822i | −0.379816 | + | 0.0562921i | ||||
\(106\) | 1.89077 | − | 0.271851i | 0.183648 | − | 0.0264045i | ||||
\(107\) | −11.8206 | − | 13.6417i | −1.14274 | − | 1.31879i | −0.940633 | − | 0.339424i | \(-0.889768\pi\) |
−0.202103 | − | 0.979364i | \(-0.564778\pi\) | |||||||
\(108\) | 3.79925 | − | 2.51209i | 0.365583 | − | 0.241726i | ||||
\(109\) | −4.16074 | − | 6.47424i | −0.398527 | − | 0.620120i | 0.582766 | − | 0.812640i | \(-0.301970\pi\) |
−0.981293 | + | 0.192520i | \(0.938334\pi\) | |||||||
\(110\) | 7.58329 | + | 1.09031i | 0.723038 | + | 0.103957i | ||||
\(111\) | 0.0295213 | + | 6.80495i | 0.00280204 | + | 0.645897i | ||||
\(112\) | 1.57790 | + | 1.36726i | 0.149097 | + | 0.129194i | ||||
\(113\) | 13.5081 | + | 3.96634i | 1.27074 | + | 0.373121i | 0.846480 | − | 0.532421i | \(-0.178718\pi\) |
0.424255 | + | 0.905543i | \(0.360536\pi\) | |||||||
\(114\) | −4.98262 | + | 3.23276i | −0.466665 | + | 0.302776i | ||||
\(115\) | 1.64583 | − | 7.53738i | 0.153475 | − | 0.702864i | ||||
\(116\) | − | 1.48395i | − | 0.137781i | ||||||
\(117\) | −7.25020 | + | 8.51535i | −0.670282 | + | 0.787245i | ||||
\(118\) | 4.25054 | − | 4.90538i | 0.391294 | − | 0.451577i | ||||
\(119\) | 3.03415 | − | 4.72122i | 0.278140 | − | 0.432794i | ||||
\(120\) | 7.71224 | − | 3.56258i | 0.704028 | − | 0.325217i | ||||
\(121\) | 7.72988 | − | 4.96769i | 0.702716 | − | 0.451608i | ||||
\(122\) | 0.975490 | + | 2.13603i | 0.0883167 | + | 0.193387i | ||||
\(123\) | −0.683949 | + | 2.36726i | −0.0616696 | + | 0.213449i | ||||
\(124\) | −1.02131 | − | 7.10336i | −0.0917163 | − | 0.637901i | ||||
\(125\) | 4.95332 | − | 10.8463i | 0.443038 | − | 0.970118i | ||||
\(126\) | 0.600421 | − | 4.44976i | 0.0534897 | − | 0.396416i | ||||
\(127\) | −1.24954 | + | 0.366898i | −0.110879 | + | 0.0325570i | −0.336701 | − | 0.941612i | \(-0.609311\pi\) |
0.225822 | + | 0.974168i | \(0.427493\pi\) | |||||||
\(128\) | 0.761312 | + | 0.347680i | 0.0672912 | + | 0.0307308i | ||||
\(129\) | −12.6090 | + | 11.0219i | −1.11016 | + | 0.970420i | ||||
\(130\) | −4.80389 | + | 4.16260i | −0.421329 | + | 0.365084i | ||||
\(131\) | −7.54331 | + | 3.44491i | −0.659062 | + | 0.300984i | −0.716729 | − | 0.697352i | \(-0.754361\pi\) |
0.0576663 | + | 0.998336i | \(0.481634\pi\) | |||||||
\(132\) | 2.80685 | − | 6.21738i | 0.244305 | − | 0.541154i | ||||
\(133\) | 0.650150 | − | 4.52189i | 0.0563751 | − | 0.392098i | ||||
\(134\) | −10.6149 | − | 6.82176i | −0.916985 | − | 0.589311i | ||||
\(135\) | −7.09022 | − | 4.42730i | −0.610229 | − | 0.381041i | ||||
\(136\) | −3.41396 | + | 11.6269i | −0.292745 | + | 0.996998i | ||||
\(137\) | −5.82629 | −0.497773 | −0.248887 | − | 0.968533i | \(-0.580065\pi\) | ||||
−0.248887 | + | 0.968533i | \(0.580065\pi\) | |||||||
\(138\) | 7.74244 | + | 4.19202i | 0.659081 | + | 0.356849i | ||||
\(139\) | −9.61035 | −0.815139 | −0.407569 | − | 0.913174i | \(-0.633624\pi\) | ||||
−0.407569 | + | 0.913174i | \(0.633624\pi\) | |||||||
\(140\) | −0.560965 | + | 1.91047i | −0.0474102 | + | 0.161464i | ||||
\(141\) | −16.1611 | − | 2.25210i | −1.36101 | − | 0.189661i | ||||
\(142\) | 6.30860 | + | 4.05429i | 0.529406 | + | 0.340229i | ||||
\(143\) | −2.38380 | + | 16.5797i | −0.199343 | + | 1.38646i | ||||
\(144\) | 0.669343 | + | 4.38496i | 0.0557786 | + | 0.365413i | ||||
\(145\) | −2.47732 | + | 1.13135i | −0.205730 | + | 0.0939538i | ||||
\(146\) | −7.84965 | + | 6.80176i | −0.649642 | + | 0.562918i | ||||
\(147\) | −5.70652 | − | 6.52824i | −0.470666 | − | 0.538440i | ||||
\(148\) | 3.13262 | + | 1.43062i | 0.257500 | + | 0.117596i | ||||
\(149\) | 19.1223 | − | 5.61482i | 1.56656 | − | 0.459984i | 0.620564 | − | 0.784155i | \(-0.286904\pi\) |
0.945998 | + | 0.324171i | \(0.105085\pi\) | |||||||
\(150\) | 3.35927 | + | 2.88540i | 0.274283 | + | 0.235592i | ||||
\(151\) | 0.585077 | − | 1.28114i | 0.0476129 | − | 0.104258i | −0.884331 | − | 0.466861i | \(-0.845385\pi\) |
0.931944 | + | 0.362603i | \(0.118112\pi\) | |||||||
\(152\) | 1.40381 | + | 9.76370i | 0.113864 | + | 0.791940i | ||||
\(153\) | 11.4107 | − | 3.45829i | 0.922499 | − | 0.279587i | ||||
\(154\) | −2.79362 | − | 6.11718i | −0.225116 | − | 0.492936i | ||||
\(155\) | −11.0798 | + | 7.12054i | −0.889949 | + | 0.571935i | ||||
\(156\) | 2.37348 | + | 5.13809i | 0.190030 | + | 0.411376i | ||||
\(157\) | 6.23984 | − | 9.70938i | 0.497994 | − | 0.774893i | −0.497724 | − | 0.867335i | \(-0.665831\pi\) |
0.995718 | + | 0.0924420i | \(0.0294673\pi\) | |||||||
\(158\) | −2.60281 | + | 3.00381i | −0.207069 | + | 0.238970i | ||||
\(159\) | −2.99122 | + | 0.892414i | −0.237219 | + | 0.0707730i | ||||
\(160\) | − | 7.28843i | − | 0.576201i | ||||||
\(161\) | −6.34690 | + | 2.36162i | −0.500206 | + | 0.186122i | ||||
\(162\) | 7.09991 | − | 6.37113i | 0.557821 | − | 0.500563i | ||||
\(163\) | 3.75567 | + | 1.10276i | 0.294167 | + | 0.0863751i | 0.425486 | − | 0.904965i | \(-0.360103\pi\) |
−0.131319 | + | 0.991340i | \(0.541921\pi\) | |||||||
\(164\) | 0.942423 | + | 0.816615i | 0.0735909 | + | 0.0637669i | ||||
\(165\) | −12.5193 | + | 0.0543113i | −0.974624 | + | 0.00422813i | ||||
\(166\) | −15.8210 | − | 2.27471i | −1.22794 | − | 0.176552i | ||||
\(167\) | −5.44450 | − | 8.47181i | −0.421308 | − | 0.655568i | 0.564114 | − | 0.825697i | \(-0.309218\pi\) |
−0.985422 | + | 0.170129i | \(0.945582\pi\) | |||||||
\(168\) | −6.29066 | − | 4.00431i | −0.485335 | − | 0.308939i | ||||
\(169\) | −0.587680 | − | 0.678219i | −0.0452062 | − | 0.0521707i | ||||
\(170\) | 6.70777 | − | 0.964432i | 0.514462 | − | 0.0739685i | ||||
\(171\) | 7.27970 | − | 6.41932i | 0.556693 | − | 0.490898i | ||||
\(172\) | 2.38776 | + | 8.13197i | 0.182065 | + | 0.620057i | ||||
\(173\) | 0.652717 | + | 2.22295i | 0.0496252 | + | 0.169008i | 0.980577 | − | 0.196134i | \(-0.0628387\pi\) |
−0.930952 | + | 0.365142i | \(0.881021\pi\) | |||||||
\(174\) | −0.455660 | − | 3.07444i | −0.0345435 | − | 0.233073i | ||||
\(175\) | −3.37143 | + | 0.484738i | −0.254856 | + | 0.0366428i | ||||
\(176\) | 4.35058 | + | 5.02084i | 0.327937 | + | 0.378460i | ||||
\(177\) | −5.69561 | + | 8.94766i | −0.428109 | + | 0.672547i | ||||
\(178\) | −0.260775 | − | 0.405773i | −0.0195459 | − | 0.0304140i | ||||
\(179\) | −4.76707 | − | 0.685402i | −0.356308 | − | 0.0512293i | −0.0381632 | − | 0.999272i | \(-0.512151\pi\) |
−0.318145 | + | 0.948042i | \(0.603060\pi\) | |||||||
\(180\) | −3.53873 | + | 2.31783i | −0.263761 | + | 0.172761i | ||||
\(181\) | 13.1782 | + | 11.4190i | 0.979527 | + | 0.848765i | 0.988504 | − | 0.151195i | \(-0.0483121\pi\) |
−0.00897721 | + | 0.999960i | \(0.502858\pi\) | |||||||
\(182\) | 5.35355 | + | 1.57194i | 0.396831 | + | 0.116520i | ||||
\(183\) | −2.08857 | − | 3.21909i | −0.154392 | − | 0.237962i | ||||
\(184\) | 11.7125 | − | 8.75360i | 0.863459 | − | 0.645324i | ||||
\(185\) | − | 6.32032i | − | 0.464679i | ||||||
\(186\) | −4.29709 | − | 14.4031i | −0.315078 | − | 1.05609i | ||||
\(187\) | 11.6943 | − | 13.4959i | 0.855171 | − | 0.986920i | ||||
\(188\) | −4.46446 | + | 6.94683i | −0.325604 | + | 0.506649i | ||||
\(189\) | 0.0954891 | + | 7.33669i | 0.00694581 | + | 0.533665i | ||||
\(190\) | 4.64070 | − | 2.98240i | 0.336672 | − | 0.216366i | ||||
\(191\) | 1.17349 | + | 2.56958i | 0.0849105 | + | 0.185928i | 0.947324 | − | 0.320276i | \(-0.103776\pi\) |
−0.862414 | + | 0.506204i | \(0.831048\pi\) | |||||||
\(192\) | 12.9116 | + | 3.73041i | 0.931811 | + | 0.269219i | ||||
\(193\) | 2.77756 | + | 19.3183i | 0.199933 | + | 1.39056i | 0.804473 | + | 0.593990i | \(0.202448\pi\) |
−0.604540 | + | 0.796575i | \(0.706643\pi\) | |||||||
\(194\) | −3.66306 | + | 8.02098i | −0.262992 | + | 0.575873i | ||||
\(195\) | 6.76804 | − | 7.87955i | 0.484670 | − | 0.564266i | ||||
\(196\) | −4.21029 | + | 1.23625i | −0.300735 | + | 0.0883038i | ||||
\(197\) | 12.3272 | + | 5.62965i | 0.878278 | + | 0.401096i | 0.802939 | − | 0.596062i | \(-0.203269\pi\) |
0.0753397 | + | 0.997158i | \(0.475996\pi\) | |||||||
\(198\) | 3.90612 | − | 13.7430i | 0.277596 | − | 0.976674i | ||||
\(199\) | −11.0680 | + | 9.59051i | −0.784592 | + | 0.679853i | −0.952022 | − | 0.306031i | \(-0.900999\pi\) |
0.167429 | + | 0.985884i | \(0.446453\pi\) | |||||||
\(200\) | 6.68986 | − | 3.05516i | 0.473045 | − | 0.216032i | ||||
\(201\) | 18.7928 | + | 8.48405i | 1.32554 | + | 0.598419i | ||||
\(202\) | −1.06071 | + | 7.37737i | −0.0746310 | + | 0.519070i | ||||
\(203\) | 2.01107 | + | 1.29244i | 0.141149 | + | 0.0907113i | ||||
\(204\) | 0.832813 | − | 5.97627i | 0.0583085 | − | 0.418423i | ||||
\(205\) | 0.644766 | − | 2.19587i | 0.0450324 | − | 0.153366i | ||||
\(206\) | 12.4988 | 0.870834 | ||||||||
\(207\) | −13.5196 | − | 4.92134i | −0.939679 | − | 0.342057i | ||||
\(208\) | −5.51205 | −0.382192 | ||||||||
\(209\) | 4.09541 | − | 13.9477i | 0.283286 | − | 0.964782i | ||||
\(210\) | −0.575578 | + | 4.13036i | −0.0397187 | + | 0.285022i | ||||
\(211\) | −9.49791 | − | 6.10393i | −0.653863 | − | 0.420212i | 0.171213 | − | 0.985234i | \(-0.445231\pi\) |
−0.825076 | + | 0.565022i | \(0.808868\pi\) | |||||||
\(212\) | −0.224816 | + | 1.56363i | −0.0154404 | + | 0.107390i | ||||
\(213\) | −11.1689 | − | 5.04222i | −0.765279 | − | 0.345487i | ||||
\(214\) | −17.4034 | + | 7.94785i | −1.18967 | + | 0.543304i | ||||
\(215\) | 11.7552 | − | 10.1859i | 0.801695 | − | 0.694673i | ||||
\(216\) | −4.66087 | − | 15.1416i | −0.317132 | − | 1.03026i | ||||
\(217\) | 10.5161 | + | 4.80253i | 0.713878 | + | 0.326017i | ||||
\(218\) | −7.82676 | + | 2.29814i | −0.530095 | + | 0.155650i | ||||
\(219\) | 11.0591 | − | 12.8753i | 0.747305 | − | 0.870034i | ||||
\(220\) | −2.63196 | + | 5.76318i | −0.177446 | + | 0.388553i | ||||
\(221\) | 2.10858 | + | 14.6655i | 0.141838 | + | 0.986507i | ||||
\(222\) | 6.92943 | + | 2.00205i | 0.465073 | + | 0.134369i | ||||
\(223\) | −4.76293 | − | 10.4294i | −0.318949 | − | 0.698402i | 0.680459 | − | 0.732786i | \(-0.261780\pi\) |
−0.999409 | + | 0.0343841i | \(0.989053\pi\) | |||||||
\(224\) | −5.38202 | + | 3.45882i | −0.359602 | + | 0.231102i | ||||
\(225\) | −6.12138 | − | 3.85934i | −0.408092 | − | 0.257289i | ||||
\(226\) | 8.06751 | − | 12.5533i | 0.536643 | − | 0.835032i | ||||
\(227\) | 0.308514 | − | 0.356044i | 0.0204768 | − | 0.0236315i | −0.745419 | − | 0.666596i | \(-0.767750\pi\) |
0.765896 | + | 0.642965i | \(0.222296\pi\) | |||||||
\(228\) | −1.40425 | − | 4.70681i | −0.0929989 | − | 0.311716i | ||||
\(229\) | 1.12917i | 0.0746174i | 0.999304 | + | 0.0373087i | \(0.0118785\pi\) | ||||
−0.999304 | + | 0.0373087i | \(0.988122\pi\) | |||||||
\(230\) | −7.17402 | − | 3.92460i | −0.473041 | − | 0.258780i | ||||
\(231\) | 5.98128 | + | 9.21888i | 0.393539 | + | 0.606558i | ||||
\(232\) | −4.95264 | − | 1.45422i | −0.325156 | − | 0.0954745i | ||||
\(233\) | 2.56406 | + | 2.22177i | 0.167977 | + | 0.145553i | 0.734793 | − | 0.678292i | \(-0.237279\pi\) |
−0.566816 | + | 0.823845i | \(0.691825\pi\) | |||||||
\(234\) | 6.49506 | + | 9.91627i | 0.424595 | + | 0.648247i | ||||
\(235\) | 15.0008 | + | 2.15678i | 0.978542 | + | 0.140693i | ||||
\(236\) | 2.90201 | + | 4.51562i | 0.188905 | + | 0.293942i | ||||
\(237\) | 3.48770 | − | 5.47909i | 0.226551 | − | 0.355905i | ||||
\(238\) | −3.89542 | − | 4.49556i | −0.252503 | − | 0.291404i | ||||
\(239\) | −2.87786 | + | 0.413774i | −0.186153 | + | 0.0267648i | −0.234761 | − | 0.972053i | \(-0.575431\pi\) |
0.0486076 | + | 0.998818i | \(0.484522\pi\) | |||||||
\(240\) | −0.603995 | − | 4.07529i | −0.0389877 | − | 0.263059i | ||||
\(241\) | 0.629154 | + | 2.14270i | 0.0405274 | + | 0.138023i | 0.977272 | − | 0.211991i | \(-0.0679948\pi\) |
−0.936744 | + | 0.350015i | \(0.886177\pi\) | |||||||
\(242\) | −2.74385 | − | 9.34471i | −0.176382 | − | 0.600700i | ||||
\(243\) | −9.95035 | + | 11.9996i | −0.638315 | + | 0.769775i | ||||
\(244\) | −1.92218 | + | 0.276367i | −0.123055 | + | 0.0176926i | ||||
\(245\) | 5.27371 | + | 6.08619i | 0.336925 | + | 0.388832i | ||||
\(246\) | 2.20326 | + | 1.40248i | 0.140475 | + | 0.0894188i | ||||
\(247\) | 6.52055 | + | 10.1462i | 0.414893 | + | 0.645585i | ||||
\(248\) | −24.7081 | − | 3.55249i | −1.56897 | − | 0.225583i | ||||
\(249\) | 26.1189 | − | 0.113309i | 1.65522 | − | 0.00718068i | ||||
\(250\) | −9.55147 | − | 8.27639i | −0.604088 | − | 0.523445i | ||||
\(251\) | −11.1678 | − | 3.27916i | −0.704904 | − | 0.206978i | −0.0904154 | − | 0.995904i | \(-0.528819\pi\) |
−0.614489 | + | 0.788926i | \(0.710638\pi\) | |||||||
\(252\) | 3.39091 | + | 1.51316i | 0.213607 | + | 0.0953201i | ||||
\(253\) | −21.0596 | + | 4.56398i | −1.32400 | + | 0.286935i | ||||
\(254\) | 1.38034i | 0.0866104i | ||||||||
\(255\) | −10.6118 | + | 3.16597i | −0.664535 | + | 0.198261i | ||||
\(256\) | 10.7436 | − | 12.3987i | 0.671473 | − | 0.774921i | ||||
\(257\) | −1.38747 | + | 2.15894i | −0.0865477 | + | 0.134671i | −0.881828 | − | 0.471571i | \(-0.843687\pi\) |
0.795281 | + | 0.606242i | \(0.207324\pi\) | |||||||
\(258\) | 7.44394 | + | 16.1146i | 0.463440 | + | 1.00325i | ||||
\(259\) | −4.66713 | + | 2.99938i | −0.290001 | + | 0.186373i | ||||
\(260\) | −2.18370 | − | 4.78164i | −0.135427 | − | 0.296545i | ||||
\(261\) | 1.47311 | + | 4.86054i | 0.0911831 | + | 0.300860i | ||||
\(262\) | 1.25091 | + | 8.70024i | 0.0772812 | + | 0.537503i | ||||
\(263\) | −8.69346 | + | 19.0360i | −0.536062 | + | 1.17381i | 0.426931 | + | 0.904284i | \(0.359595\pi\) |
−0.962993 | + | 0.269528i | \(0.913132\pi\) | |||||||
\(264\) | −17.9997 | − | 15.4606i | −1.10781 | − | 0.951536i | ||||
\(265\) | 2.78173 | − | 0.816791i | 0.170881 | − | 0.0501750i | ||||
\(266\) | −4.40461 | − | 2.01152i | −0.270064 | − | 0.123334i | ||||
\(267\) | 0.518744 | + | 0.593441i | 0.0317466 | + | 0.0363180i | ||||
\(268\) | 7.88608 | − | 6.83333i | 0.481719 | − | 0.417412i | ||||
\(269\) | 25.9223 | − | 11.8383i | 1.58051 | − | 0.721795i | 0.584531 | − | 0.811372i | \(-0.301279\pi\) |
0.995980 | + | 0.0895767i | \(0.0285514\pi\) | |||||||
\(270\) | −6.61982 | + | 5.88867i | −0.402869 | + | 0.358373i | ||||
\(271\) | 0.00475284 | − | 0.0330567i | 0.000288715 | − | 0.00200805i | −0.989677 | − | 0.143319i | \(-0.954223\pi\) |
0.989965 | + | 0.141311i | \(0.0451317\pi\) | |||||||
\(272\) | 4.94362 | + | 3.17707i | 0.299751 | + | 0.192638i | ||||
\(273\) | −9.03038 | − | 1.25841i | −0.546543 | − | 0.0761626i | ||||
\(274\) | −1.73983 | + | 5.92532i | −0.105107 | + | 0.357962i | ||||
\(275\) | −10.8381 | −0.653564 | ||||||||
\(276\) | −5.13019 | + | 5.16680i | −0.308801 | + | 0.311005i | ||||
\(277\) | −30.3604 | −1.82418 | −0.912091 | − | 0.409987i | \(-0.865533\pi\) | ||||
−0.912091 | + | 0.409987i | \(0.865533\pi\) | |||||||
\(278\) | −2.86982 | + | 9.77370i | −0.172120 | + | 0.586187i | ||||
\(279\) | 10.3967 | + | 22.2525i | 0.622432 | + | 1.33223i | ||||
\(280\) | 5.82641 | + | 3.74441i | 0.348195 | + | 0.223771i | ||||
\(281\) | 3.30204 | − | 22.9662i | 0.196983 | − | 1.37005i | −0.615992 | − | 0.787752i | \(-0.711245\pi\) |
0.812976 | − | 0.582298i | \(-0.197846\pi\) | |||||||
\(282\) | −7.11636 | + | 15.7633i | −0.423773 | + | 0.938688i | ||||
\(283\) | 15.1659 | − | 6.92603i | 0.901519 | − | 0.411710i | 0.0899361 | − | 0.995948i | \(-0.471334\pi\) |
0.811583 | + | 0.584238i | \(0.198606\pi\) | |||||||
\(284\) | −4.68683 | + | 4.06116i | −0.278112 | + | 0.240986i | ||||
\(285\) | −6.78700 | + | 5.93271i | −0.402027 | + | 0.351423i | ||||
\(286\) | 16.1496 | + | 7.37530i | 0.954949 | + | 0.436110i | ||||
\(287\) | −1.92749 | + | 0.565961i | −0.113776 | + | 0.0334076i | ||||
\(288\) | −13.4700 | − | 1.81755i | −0.793726 | − | 0.107100i | ||||
\(289\) | −0.500187 | + | 1.09526i | −0.0294228 | + | 0.0644269i | ||||
\(290\) | 0.410813 | + | 2.85727i | 0.0241238 | + | 0.167785i | ||||
\(291\) | 3.99956 | − | 13.8431i | 0.234459 | − | 0.811499i | ||||
\(292\) | −3.56821 | − | 7.81329i | −0.208814 | − | 0.457238i | ||||
\(293\) | −6.12390 | + | 3.93559i | −0.357762 | + | 0.229920i | −0.707158 | − | 0.707055i | \(-0.750023\pi\) |
0.349396 | + | 0.936975i | \(0.386387\pi\) | |||||||
\(294\) | −8.34327 | + | 3.85407i | −0.486589 | + | 0.224774i | ||||
\(295\) | 5.32594 | − | 8.28732i | 0.310088 | − | 0.482506i | ||||
\(296\) | 7.84452 | − | 9.05306i | 0.455953 | − | 0.526198i | ||||
\(297\) | −3.02162 | + | 23.1508i | −0.175332 | + | 1.34335i | ||||
\(298\) | − | 21.1241i | − | 1.22368i | ||||||
\(299\) | 8.58052 | − | 15.6849i | 0.496224 | − | 0.907079i | ||||
\(300\) | −3.07218 | + | 1.99326i | −0.177372 | + | 0.115081i | ||||
\(301\) | −13.1002 | − | 3.84656i | −0.755081 | − | 0.221712i | ||||
\(302\) | −1.12820 | − | 0.977593i | −0.0649208 | − | 0.0562542i | ||||
\(303\) | −0.0528365 | − | 12.1793i | −0.00303538 | − | 0.699684i | ||||
\(304\) | 4.73490 | + | 0.680776i | 0.271565 | + | 0.0390452i | ||||
\(305\) | 1.92682 | + | 2.99820i | 0.110330 | + | 0.171676i | ||||
\(306\) | −0.109649 | − | 12.6373i | −0.00626821 | − | 0.722429i | ||||
\(307\) | 0.473561 | + | 0.546519i | 0.0270276 | + | 0.0311915i | 0.769102 | − | 0.639126i | \(-0.220704\pi\) |
−0.742075 | + | 0.670317i | \(0.766158\pi\) | |||||||
\(308\) | 5.50475 | − | 0.791464i | 0.313662 | − | 0.0450978i | ||||
\(309\) | −20.2038 | + | 2.99438i | −1.14935 | + | 0.170345i | ||||
\(310\) | 3.93296 | + | 13.3944i | 0.223377 | + | 0.760752i | ||||
\(311\) | 0.566562 | + | 1.92953i | 0.0321268 | + | 0.109414i | 0.973996 | − | 0.226567i | \(-0.0727503\pi\) |
−0.941869 | + | 0.335981i | \(0.890932\pi\) | |||||||
\(312\) | 19.4741 | − | 2.88624i | 1.10251 | − | 0.163401i | ||||
\(313\) | 13.5345 | − | 1.94597i | 0.765015 | − | 0.109993i | 0.251249 | − | 0.967923i | \(-0.419159\pi\) |
0.513767 | + | 0.857930i | \(0.328250\pi\) | |||||||
\(314\) | −8.01109 | − | 9.24530i | −0.452092 | − | 0.521742i | ||||
\(315\) | −0.0591261 | − | 6.81444i | −0.00333138 | − | 0.383950i | ||||
\(316\) | −1.77704 | − | 2.76513i | −0.0999665 | − | 0.155551i | ||||
\(317\) | 8.43499 | + | 1.21277i | 0.473756 | + | 0.0681159i | 0.375058 | − | 0.927002i | \(-0.377623\pi\) |
0.0986986 | + | 0.995117i | \(0.468532\pi\) | |||||||
\(318\) | 0.0143532 | + | 3.30855i | 0.000804887 | + | 0.185534i | ||||
\(319\) | 5.74878 | + | 4.98135i | 0.321870 | + | 0.278902i | ||||
\(320\) | −11.9768 | − | 3.51670i | −0.669522 | − | 0.196589i | ||||
\(321\) | 26.2277 | − | 17.0167i | 1.46389 | − | 0.949782i | ||||
\(322\) | 0.506464 | + | 7.16000i | 0.0282242 | + | 0.399011i | ||||
\(323\) | − | 12.8582i | − | 0.715451i | ||||||
\(324\) | 3.40119 | + | 7.11804i | 0.188955 | + | 0.395447i | ||||
\(325\) | 5.88868 | − | 6.79590i | 0.326645 | − | 0.376969i | ||||
\(326\) | 2.24302 | − | 3.49020i | 0.124229 | − | 0.193304i | ||||
\(327\) | 12.1010 | − | 5.58993i | 0.669189 | − | 0.309124i | ||||
\(328\) | 3.64897 | − | 2.34505i | 0.201481 | − | 0.129484i | ||||
\(329\) | −5.52616 | − | 12.1006i | −0.304667 | − | 0.667127i | ||||
\(330\) | −3.68324 | + | 12.7483i | −0.202756 | + | 0.701770i | ||||
\(331\) | 0.444763 | + | 3.09339i | 0.0244464 | + | 0.170028i | 0.998387 | − | 0.0567748i | \(-0.0180817\pi\) |
−0.973941 | + | 0.226803i | \(0.927173\pi\) | |||||||
\(332\) | 5.49103 | − | 12.0237i | 0.301359 | − | 0.659885i | ||||
\(333\) | −11.6808 | − | 1.57613i | −0.640102 | − | 0.0863712i | ||||
\(334\) | −10.2416 | + | 3.00722i | −0.560397 | + | 0.164547i | ||||
\(335\) | −17.4199 | − | 7.95541i | −0.951751 | − | 0.434650i | ||||
\(336\) | −2.72270 | + | 2.37999i | −0.148535 | + | 0.129839i | ||||
\(337\) | −9.14689 | + | 7.92582i | −0.498263 | + | 0.431747i | −0.867388 | − | 0.497633i | \(-0.834203\pi\) |
0.369125 | + | 0.929380i | \(0.379657\pi\) | |||||||
\(338\) | −0.865239 | + | 0.395141i | −0.0470628 | + | 0.0214929i | ||||
\(339\) | −10.0333 | + | 22.2246i | −0.544937 | + | 1.20708i | ||||
\(340\) | −0.797566 | + | 5.54720i | −0.0432541 | + | 0.300839i | ||||
\(341\) | 30.9466 | + | 19.8882i | 1.67585 | + | 1.07700i | ||||
\(342\) | −4.35459 | − | 9.32036i | −0.235469 | − | 0.503987i | ||||
\(343\) | 4.77631 | − | 16.2666i | 0.257897 | − | 0.878315i | ||||
\(344\) | 29.4801 | 1.58946 | ||||||||
\(345\) | 12.5367 | + | 4.62524i | 0.674955 | + | 0.249015i | ||||
\(346\) | 2.45565 | 0.132016 | ||||||||
\(347\) | 4.63661 | − | 15.7908i | 0.248906 | − | 0.847696i | −0.736349 | − | 0.676602i | \(-0.763452\pi\) |
0.985255 | − | 0.171094i | \(-0.0547302\pi\) | |||||||
\(348\) | 2.54568 | + | 0.354748i | 0.136463 | + | 0.0190165i | ||||
\(349\) | 26.2501 | + | 16.8699i | 1.40514 | + | 0.903026i | 0.999937 | − | 0.0112031i | \(-0.00356614\pi\) |
0.405198 | + | 0.914229i | \(0.367203\pi\) | |||||||
\(350\) | −0.513790 | + | 3.57349i | −0.0274632 | + | 0.191011i | ||||
\(351\) | −12.8747 | − | 14.4732i | −0.687199 | − | 0.772522i | ||||
\(352\) | −18.5175 | + | 8.45665i | −0.986985 | + | 0.450741i | ||||
\(353\) | −15.9800 | + | 13.8468i | −0.850531 | + | 0.736989i | −0.966610 | − | 0.256251i | \(-0.917513\pi\) |
0.116080 | + | 0.993240i | \(0.462967\pi\) | |||||||
\(354\) | 7.39894 | + | 8.46435i | 0.393249 | + | 0.449875i | ||||
\(355\) | 10.3530 | + | 4.72803i | 0.549478 | + | 0.250938i | ||||
\(356\) | 0.382731 | − | 0.112380i | 0.0202847 | − | 0.00595613i | ||||
\(357\) | 7.37380 | + | 6.33364i | 0.390263 | + | 0.335212i | ||||
\(358\) | −2.12058 | + | 4.64343i | −0.112076 | + | 0.245413i | ||||
\(359\) | −0.608756 | − | 4.23399i | −0.0321289 | − | 0.223462i | 0.967431 | − | 0.253136i | \(-0.0814620\pi\) |
−0.999560 | + | 0.0296745i | \(0.990553\pi\) | |||||||
\(360\) | 4.26785 | + | 14.0818i | 0.224935 | + | 0.742176i | ||||
\(361\) | 3.54479 | + | 7.76201i | 0.186568 | + | 0.408527i | ||||
\(362\) | 15.5483 | − | 9.99228i | 0.817200 | − | 0.525183i | ||||
\(363\) | 6.67407 | + | 14.4480i | 0.350298 | + | 0.758322i | ||||
\(364\) | −2.49462 | + | 3.88170i | −0.130754 | + | 0.203457i | ||||
\(365\) | −10.3232 | + | 11.9136i | −0.540340 | + | 0.623586i | ||||
\(366\) | −3.89749 | + | 1.16280i | −0.203725 | + | 0.0607804i | ||||
\(367\) | − | 11.2014i | − | 0.584709i | −0.956310 | − | 0.292354i | \(-0.905561\pi\) | ||
0.956310 | − | 0.292354i | \(-0.0944387\pi\) | |||||||
\(368\) | −2.47287 | − | 6.64588i | −0.128907 | − | 0.346441i | ||||
\(369\) | −3.89747 | − | 1.73921i | −0.202894 | − | 0.0905395i | ||||
\(370\) | −6.42775 | − | 1.88736i | −0.334163 | − | 0.0981190i | ||||
\(371\) | −1.92325 | − | 1.66651i | −0.0998502 | − | 0.0865207i | ||||
\(372\) | 12.4298 | − | 0.0539230i | 0.644454 | − | 0.00279578i | ||||
\(373\) | −3.22490 | − | 0.463670i | −0.166979 | − | 0.0240079i | 0.0583183 | − | 0.998298i | \(-0.481426\pi\) |
−0.225297 | + | 0.974290i | \(0.572335\pi\) | |||||||
\(374\) | −10.2332 | − | 15.9232i | −0.529147 | − | 0.823368i | ||||
\(375\) | 17.4223 | + | 11.0902i | 0.899686 | + | 0.572693i | ||||
\(376\) | 18.8098 | + | 21.7077i | 0.970041 | + | 1.11949i | ||||
\(377\) | −6.24697 | + | 0.898178i | −0.321735 | + | 0.0462585i | ||||
\(378\) | 7.48991 | + | 2.09375i | 0.385239 | + | 0.107691i | ||||
\(379\) | −6.15345 | − | 20.9567i | −0.316081 | − | 1.07647i | −0.952350 | − | 0.305007i | \(-0.901341\pi\) |
0.636269 | − | 0.771467i | \(-0.280477\pi\) | |||||||
\(380\) | 1.28526 | + | 4.37718i | 0.0659322 | + | 0.224544i | ||||
\(381\) | −0.330694 | − | 2.23127i | −0.0169419 | − | 0.114311i | ||||
\(382\) | 2.96368 | − | 0.426113i | 0.151635 | − | 0.0218018i | ||||
\(383\) | 9.92748 | + | 11.4569i | 0.507270 | + | 0.585421i | 0.950398 | − | 0.311038i | \(-0.100676\pi\) |
−0.443127 | + | 0.896459i | \(0.646131\pi\) | |||||||
\(384\) | −0.778433 | + | 1.22290i | −0.0397242 | + | 0.0624057i | ||||
\(385\) | −5.51806 | − | 8.58627i | −0.281226 | − | 0.437597i | ||||
\(386\) | 20.4761 | + | 2.94402i | 1.04221 | + | 0.149847i | ||||
\(387\) | −15.8935 | − | 24.2652i | −0.807909 | − | 1.23347i | ||||
\(388\) | −5.51106 | − | 4.77536i | −0.279782 | − | 0.242432i | ||||
\(389\) | −24.9651 | − | 7.33041i | −1.26578 | − | 0.371667i | −0.421137 | − | 0.906997i | \(-0.638369\pi\) |
−0.844643 | + | 0.535330i | \(0.820187\pi\) | |||||||
\(390\) | −5.99243 | − | 9.23605i | −0.303438 | − | 0.467686i | ||||
\(391\) | −16.7362 | + | 9.12169i | −0.846387 | + | 0.461303i | ||||
\(392\) | 15.2632i | 0.770909i | ||||||||
\(393\) | −4.10638 | − | 13.7639i | −0.207140 | − | 0.694296i | ||||
\(394\) | 9.40647 | − | 10.8556i | 0.473891 | − | 0.546899i | ||||
\(395\) | −3.26133 | + | 5.07473i | −0.164095 | + | 0.255338i | ||||
\(396\) | 9.99477 | + | 6.30139i | 0.502256 | + | 0.316657i | ||||
\(397\) | −0.819795 | + | 0.526850i | −0.0411443 | + | 0.0264418i | −0.561051 | − | 0.827781i | \(-0.689603\pi\) |
0.519907 | + | 0.854223i | \(0.325967\pi\) | |||||||
\(398\) | 6.44841 | + | 14.1201i | 0.323230 | + | 0.707774i | ||||
\(399\) | 7.60176 | + | 2.19630i | 0.380564 | + | 0.109953i | ||||
\(400\) | −0.507573 | − | 3.53025i | −0.0253786 | − | 0.176512i | ||||
\(401\) | −5.62068 | + | 12.3076i | −0.280684 | + | 0.614611i | −0.996492 | − | 0.0836852i | \(-0.973331\pi\) |
0.715809 | + | 0.698296i | \(0.246058\pi\) | |||||||
\(402\) | 14.2401 | − | 16.5787i | 0.710232 | − | 0.826873i | ||||
\(403\) | −29.2848 | + | 8.59879i | −1.45878 | + | 0.428336i | ||||
\(404\) | −5.60668 | − | 2.56049i | −0.278943 | − | 0.127389i | ||||
\(405\) | 9.28988 | − | 11.1047i | 0.461618 | − | 0.551798i | ||||
\(406\) | 1.91495 | − | 1.65931i | 0.0950371 | − | 0.0823501i | ||||
\(407\) | −16.0578 | + | 7.33336i | −0.795956 | + | 0.363501i | ||||
\(408\) | −19.1295 | − | 8.63605i | −0.947051 | − | 0.427548i | ||||
\(409\) | 2.19405 | − | 15.2599i | 0.108489 | − | 0.754555i | −0.860856 | − | 0.508849i | \(-0.830071\pi\) |
0.969344 | − | 0.245706i | \(-0.0790199\pi\) | |||||||
\(410\) | −2.04066 | − | 1.31145i | −0.100781 | − | 0.0647679i | ||||
\(411\) | 1.39281 | − | 9.99484i | 0.0687024 | − | 0.493009i | ||||
\(412\) | −2.91207 | + | 9.91759i | −0.143467 | + | 0.488605i | ||||
\(413\) | −8.64712 | −0.425497 | ||||||||
\(414\) | −9.04219 | + | 12.2798i | −0.444399 | + | 0.603521i | ||||
\(415\) | −24.2587 | −1.19081 | ||||||||
\(416\) | 4.75848 | − | 16.2059i | 0.233303 | − | 0.794559i | ||||
\(417\) | 2.29742 | − | 16.4863i | 0.112505 | − | 0.807338i | ||||
\(418\) | −12.9618 | − | 8.33005i | −0.633983 | − | 0.407436i | ||||
\(419\) | −3.62086 | + | 25.1837i | −0.176891 | + | 1.23030i | 0.687013 | + | 0.726645i | \(0.258922\pi\) |
−0.863904 | + | 0.503657i | \(0.831988\pi\) | |||||||
\(420\) | −3.14326 | − | 1.41903i | −0.153376 | − | 0.0692417i | ||||
\(421\) | −24.4417 | + | 11.1622i | −1.19122 | + | 0.544010i | −0.909587 | − | 0.415513i | \(-0.863602\pi\) |
−0.281629 | + | 0.959523i | \(0.590875\pi\) | |||||||
\(422\) | −9.04393 | + | 7.83661i | −0.440251 | + | 0.381480i | ||||
\(423\) | 7.72683 | − | 27.1855i | 0.375691 | − | 1.32181i | ||||
\(424\) | 4.99825 | + | 2.28262i | 0.242736 | + | 0.110854i | ||||
\(425\) | −9.19850 | + | 2.70092i | −0.446193 | + | 0.131014i | ||||
\(426\) | −8.46315 | + | 9.85304i | −0.410041 | + | 0.477381i | ||||
\(427\) | 1.29957 | − | 2.84566i | 0.0628906 | − | 0.137711i | ||||
\(428\) | −2.25171 | − | 15.6610i | −0.108841 | − | 0.757003i | ||||
\(429\) | −27.8721 | − | 8.05283i | −1.34568 | − | 0.388794i | ||||
\(430\) | −6.84875 | − | 14.9967i | −0.330276 | − | 0.723203i | ||||
\(431\) | 1.84035 | − | 1.18272i | 0.0886465 | − | 0.0569697i | −0.495567 | − | 0.868570i | \(-0.665040\pi\) |
0.584213 | + | 0.811600i | \(0.301403\pi\) | |||||||
\(432\) | −7.68230 | + | 0.0999873i | −0.369615 | + | 0.00481064i | ||||
\(433\) | 12.7704 | − | 19.8711i | 0.613704 | − | 0.954942i | −0.385772 | − | 0.922594i | \(-0.626065\pi\) |
0.999477 | − | 0.0323485i | \(-0.0102986\pi\) | |||||||
\(434\) | 8.02445 | − | 9.26071i | 0.385186 | − | 0.444528i | ||||
\(435\) | −1.34859 | − | 4.52023i | −0.0646598 | − | 0.216729i | ||||
\(436\) | − | 6.74583i | − | 0.323067i | ||||||
\(437\) | −9.30794 | + | 12.4137i | −0.445259 | + | 0.593828i | ||||
\(438\) | −9.79174 | − | 15.0919i | −0.467867 | − | 0.721118i | ||||
\(439\) | 30.6380 | + | 8.99614i | 1.46227 | + | 0.429362i | 0.913579 | − | 0.406661i | \(-0.133307\pi\) |
0.548694 | + | 0.836023i | \(0.315125\pi\) | |||||||
\(440\) | 16.6552 | + | 14.4318i | 0.794005 | + | 0.688009i | ||||
\(441\) | 12.5632 | − | 8.22877i | 0.598248 | − | 0.391846i | ||||
\(442\) | 15.5444 | + | 2.23495i | 0.739373 | + | 0.106306i | ||||
\(443\) | 14.2088 | + | 22.1093i | 0.675078 | + | 1.05044i | 0.994692 | + | 0.102895i | \(0.0328104\pi\) |
−0.319614 | + | 0.947548i | \(0.603553\pi\) | |||||||
\(444\) | −3.20306 | + | 5.03193i | −0.152011 | + | 0.238805i | ||||
\(445\) | −0.479400 | − | 0.553257i | −0.0227257 | − | 0.0262269i | ||||
\(446\) | −12.0289 | + | 1.72950i | −0.569586 | + | 0.0818941i | ||||
\(447\) | 5.06076 | + | 34.1461i | 0.239366 | + | 1.61506i | ||||
\(448\) | 3.08688 | + | 10.5129i | 0.145841 | + | 0.496689i | ||||
\(449\) | 10.7313 | + | 36.5474i | 0.506440 | + | 1.72478i | 0.673830 | + | 0.738886i | \(0.264648\pi\) |
−0.167390 | + | 0.985891i | \(0.553534\pi\) | |||||||
\(450\) | −5.75289 | + | 5.07296i | −0.271194 | + | 0.239142i | ||||
\(451\) | −6.32709 | + | 0.909698i | −0.297931 | + | 0.0428360i | ||||
\(452\) | 8.08118 | + | 9.32618i | 0.380107 | + | 0.438667i | ||||
\(453\) | 2.05790 | + | 1.30995i | 0.0966884 | + | 0.0615468i | ||||
\(454\) | −0.269968 | − | 0.420079i | −0.0126702 | − | 0.0197153i | ||||
\(455\) | 8.38203 | + | 1.20515i | 0.392956 | + | 0.0564985i | ||||
\(456\) | −17.0850 | + | 0.0741182i | −0.800077 | + | 0.00347090i | ||||
\(457\) | 3.07782 | + | 2.66694i | 0.143974 | + | 0.124754i | 0.723870 | − | 0.689936i | \(-0.242361\pi\) |
−0.579896 | + | 0.814690i | \(0.696907\pi\) | |||||||
\(458\) | 1.14836 | + | 0.337189i | 0.0536593 | + | 0.0157558i | ||||
\(459\) | 3.20481 | + | 20.4015i | 0.149588 | + | 0.952258i | ||||
\(460\) | 4.78556 | − | 4.77808i | 0.223128 | − | 0.222779i | ||||
\(461\) | − | 21.2506i | − | 0.989741i | −0.868967 | − | 0.494871i | \(-0.835215\pi\) | ||
0.868967 | − | 0.494871i | \(-0.164785\pi\) | |||||||
\(462\) | 11.1617 | − | 3.33003i | 0.519289 | − | 0.154927i | ||||
\(463\) | −8.61186 | + | 9.93861i | −0.400227 | + | 0.461887i | −0.919712 | − | 0.392593i | \(-0.871578\pi\) |
0.519485 | + | 0.854479i | \(0.326124\pi\) | |||||||
\(464\) | −1.35332 | + | 2.10581i | −0.0628263 | + | 0.0977596i | ||||
\(465\) | −9.56640 | − | 20.7093i | −0.443631 | − | 0.960370i | ||||
\(466\) | 3.02521 | − | 1.94418i | 0.140140 | − | 0.0900625i | ||||
\(467\) | 5.23053 | + | 11.4533i | 0.242040 | + | 0.529994i | 0.991196 | − | 0.132399i | \(-0.0422681\pi\) |
−0.749156 | + | 0.662393i | \(0.769541\pi\) | |||||||
\(468\) | −9.38165 | + | 2.84335i | −0.433667 | + | 0.131434i | ||||
\(469\) | 2.39230 | + | 16.6388i | 0.110466 | + | 0.768307i | ||||
\(470\) | 6.67293 | − | 14.6117i | 0.307799 | − | 0.673987i | ||||
\(471\) | 15.1645 | + | 13.0254i | 0.698744 | + | 0.600178i | ||||
\(472\) | 17.9146 | − | 5.26021i | 0.824587 | − | 0.242121i | ||||
\(473\) | −39.5183 | − | 18.0474i | −1.81705 | − | 0.829820i | ||||
\(474\) | −4.53073 | − | 5.18314i | −0.208103 | − | 0.238069i | ||||
\(475\) | −5.89778 | + | 5.11046i | −0.270609 | + | 0.234484i | ||||
\(476\) | 4.47473 | − | 2.04354i | 0.205099 | − | 0.0936655i | ||||
\(477\) | −0.815842 | − | 5.34469i | −0.0373549 | − | 0.244717i | ||||
\(478\) | −0.438572 | + | 3.05034i | −0.0200598 | + | 0.139519i | ||||
\(479\) | 9.44493 | + | 6.06989i | 0.431550 | + | 0.277340i | 0.738329 | − | 0.674440i | \(-0.235615\pi\) |
−0.306779 | + | 0.951781i | \(0.599251\pi\) | |||||||
\(480\) | 12.5031 | + | 1.74235i | 0.570687 | + | 0.0795270i | ||||
\(481\) | 4.12641 | − | 14.0533i | 0.188148 | − | 0.640774i | ||||
\(482\) | 2.36700 | 0.107814 | ||||||||
\(483\) | −2.53402 | − | 11.4525i | −0.115302 | − | 0.521107i | ||||
\(484\) | 8.05414 | 0.366097 | ||||||||
\(485\) | −3.77043 | + | 12.8409i | −0.171206 | + | 0.583076i | ||||
\(486\) | 9.23222 | + | 13.7028i | 0.418782 | + | 0.621570i | ||||
\(487\) | 6.86912 | + | 4.41452i | 0.311270 | + | 0.200041i | 0.686943 | − | 0.726711i | \(-0.258952\pi\) |
−0.375673 | + | 0.926752i | \(0.622589\pi\) | |||||||
\(488\) | −0.961306 | + | 6.68603i | −0.0435163 | + | 0.302662i | ||||
\(489\) | −2.78958 | + | 6.17913i | −0.126149 | + | 0.279430i | ||||
\(490\) | 7.76446 | − | 3.54591i | 0.350763 | − | 0.160188i | ||||
\(491\) | −2.83742 | + | 2.45864i | −0.128051 | + | 0.110957i | −0.716532 | − | 0.697554i | \(-0.754272\pi\) |
0.588481 | + | 0.808511i | \(0.299726\pi\) | |||||||
\(492\) | −1.62617 | + | 1.42149i | −0.0733136 | + | 0.0640855i | ||||
\(493\) | 6.12046 | + | 2.79512i | 0.275652 | + | 0.125886i | ||||
\(494\) | 12.2658 | − | 3.60156i | 0.551864 | − | 0.162042i | ||||
\(495\) | 2.89965 | − | 21.4895i | 0.130330 | − | 0.965880i | ||||
\(496\) | −5.02877 | + | 11.0115i | −0.225798 | + | 0.494429i | ||||
\(497\) | −1.42178 | − | 9.88871i | −0.0637756 | − | 0.443569i | ||||
\(498\) | 7.68431 | − | 26.5967i | 0.344342 | − | 1.19182i | ||||
\(499\) | −5.68350 | − | 12.4451i | −0.254428 | − | 0.557120i | 0.738716 | − | 0.674017i | \(-0.235433\pi\) |
−0.993144 | + | 0.116897i | \(0.962705\pi\) | |||||||
\(500\) | 8.79254 | − | 5.65062i | 0.393214 | − | 0.252704i | ||||
\(501\) | 15.8347 | − | 7.31466i | 0.707443 | − | 0.326795i | ||||
\(502\) | −6.66979 | + | 10.3784i | −0.297687 | + | 0.463210i | ||||
\(503\) | 12.7240 | − | 14.6842i | 0.567334 | − | 0.654738i | −0.397499 | − | 0.917603i | \(-0.630122\pi\) |
0.964833 | + | 0.262864i | \(0.0846672\pi\) | |||||||
\(504\) | 8.37312 | − | 9.83421i | 0.372968 | − | 0.438051i | ||||
\(505\) | 11.3119i | 0.503375i | ||||||||
\(506\) | −1.64720 | + | 22.7804i | −0.0732270 | + | 1.01271i | ||||
\(507\) | 1.30396 | − | 0.846018i | 0.0579107 | − | 0.0375730i | ||||
\(508\) | −1.09528 | − | 0.321603i | −0.0485951 | − | 0.0142688i | ||||
\(509\) | −10.1882 | − | 8.82816i | −0.451586 | − | 0.391301i | 0.399158 | − | 0.916882i | \(-0.369303\pi\) |
−0.850744 | + | 0.525581i | \(0.823848\pi\) | |||||||
\(510\) | 0.0509200 | + | 11.7376i | 0.00225478 | + | 0.519748i | ||||
\(511\) | 13.6964 | + | 1.96924i | 0.605893 | + | 0.0871142i | ||||
\(512\) | −8.49629 | − | 13.2205i | −0.375487 | − | 0.584269i | ||||
\(513\) | 9.27192 | + | 14.0227i | 0.409365 | + | 0.619119i | ||||
\(514\) | 1.78131 | + | 2.05575i | 0.0785704 | + | 0.0906751i | ||||
\(515\) | 18.7766 | − | 2.69967i | 0.827398 | − | 0.118962i | ||||
\(516\) | −14.5210 | + | 2.15214i | −0.639251 | + | 0.0947427i | ||||
\(517\) | −11.9255 | − | 40.6144i | −0.524481 | − | 1.78622i | ||||
\(518\) | 1.65668 | + | 5.64213i | 0.0727903 | + | 0.247901i | ||||
\(519\) | −3.96945 | + | 0.588308i | −0.174240 | + | 0.0258239i | ||||
\(520\) | −18.0985 | + | 2.60218i | −0.793673 | + | 0.114113i | ||||
\(521\) | −4.39954 | − | 5.07734i | −0.192747 | − | 0.222442i | 0.651147 | − | 0.758952i | \(-0.274288\pi\) |
−0.843894 | + | 0.536509i | \(0.819743\pi\) | |||||||
\(522\) | 5.38305 | − | 0.0467065i | 0.235610 | − | 0.00204429i | ||||
\(523\) | 6.99787 | + | 10.8889i | 0.305996 | + | 0.476138i | 0.959862 | − | 0.280471i | \(-0.0904907\pi\) |
−0.653867 | + | 0.756610i | \(0.726854\pi\) | |||||||
\(524\) | −7.19493 | − | 1.03448i | −0.314312 | − | 0.0451913i | ||||
\(525\) | −0.0255932 | − | 5.89948i | −0.00111698 | − | 0.257474i | ||||
\(526\) | 16.7636 | + | 14.5257i | 0.730927 | + | 0.633352i | ||||
\(527\) | 31.2211 | + | 9.16733i | 1.36001 | + | 0.399335i | ||||
\(528\) | −9.65315 | + | 6.26304i | −0.420100 | + | 0.272564i | ||||
\(529\) | 22.7607 | + | 3.30885i | 0.989598 | + | 0.143863i | ||||
\(530\) | − | 3.07292i | − | 0.133479i | ||||||
\(531\) | −13.9879 | − | 11.9097i | −0.607023 | − | 0.516836i | ||||
\(532\) | 2.62232 | − | 3.02632i | 0.113692 | − | 0.131208i | ||||
\(533\) | 2.86728 | − | 4.46158i | 0.124196 | − | 0.193252i | ||||
\(534\) | 0.758433 | − | 0.350349i | 0.0328206 | − | 0.0151611i | ||||
\(535\) | −24.4279 | + | 15.6989i | −1.05611 | + | 0.678721i | ||||
\(536\) | −15.0779 | − | 33.0160i | −0.651266 | − | 1.42607i | ||||
\(537\) | 2.31539 | − | 8.01394i | 0.0999165 | − | 0.345827i | ||||
\(538\) | −4.29869 | − | 29.8980i | −0.185330 | − | 1.28900i | ||||
\(539\) | 9.34397 | − | 20.4604i | 0.402473 | − | 0.881294i | ||||
\(540\) | −3.13022 | − | 6.62469i | −0.134703 | − | 0.285081i | ||||
\(541\) | 16.4836 | − | 4.84001i | 0.708684 | − | 0.208088i | 0.0925251 | − | 0.995710i | \(-0.470506\pi\) |
0.616159 | + | 0.787622i | \(0.288688\pi\) | |||||||
\(542\) | −0.0321993 | − | 0.0147049i | −0.00138308 | − | 0.000631632i | ||||
\(543\) | −22.7393 | + | 19.8771i | −0.975835 | + | 0.853006i | ||||
\(544\) | −13.6086 | + | 11.7919i | −0.583465 | + | 0.505575i | ||||
\(545\) | −11.2615 | + | 5.14298i | −0.482392 | + | 0.220301i | ||||
\(546\) | −3.97643 | + | 8.80809i | −0.170176 | + | 0.376951i | ||||
\(547\) | −2.06388 | + | 14.3546i | −0.0882449 | + | 0.613757i | 0.896926 | + | 0.442181i | \(0.145795\pi\) |
−0.985171 | + | 0.171576i | \(0.945114\pi\) | |||||||
\(548\) | −4.29628 | − | 2.76105i | −0.183528 | − | 0.117946i | ||||
\(549\) | 6.02156 | − | 2.81335i | 0.256994 | − | 0.120071i | ||||
\(550\) | −3.23646 | + | 11.0224i | −0.138003 | + | 0.469995i | ||||
\(551\) | 5.47714 | 0.233334 | ||||||||
\(552\) | 12.2166 | + | 22.1852i | 0.519974 | + | 0.944263i | ||||
\(553\) | 5.29506 | 0.225169 | ||||||||
\(554\) | −9.06616 | + | 30.8765i | −0.385184 | + | 1.31182i | ||||
\(555\) | 10.8423 | + | 1.51091i | 0.460232 | + | 0.0641347i | ||||
\(556\) | −7.08663 | − | 4.55430i | −0.300540 | − | 0.193145i | ||||
\(557\) | 4.48426 | − | 31.1887i | 0.190004 | − | 1.32151i | −0.641985 | − | 0.766717i | \(-0.721889\pi\) |
0.831989 | − | 0.554792i | \(-0.187202\pi\) | |||||||
\(558\) | 25.7354 | − | 3.92839i | 1.08947 | − | 0.166302i | ||||
\(559\) | 32.7879 | − | 14.9737i | 1.38678 | − | 0.633320i | ||||
\(560\) | 2.53834 | − | 2.19948i | 0.107264 | − | 0.0929450i | ||||
\(561\) | 20.3563 | + | 23.2875i | 0.859445 | + | 0.983201i | ||||
\(562\) | −22.3705 | − | 10.2163i | −0.943644 | − | 0.430948i | ||||
\(563\) | −5.54381 | + | 1.62781i | −0.233644 | + | 0.0686041i | −0.396459 | − | 0.918053i | \(-0.629761\pi\) |
0.162815 | + | 0.986657i | \(0.447943\pi\) | |||||||
\(564\) | −10.8498 | − | 9.31934i | −0.456861 | − | 0.392415i | ||||
\(565\) | 9.40817 | − | 20.6010i | 0.395805 | − | 0.866691i | ||||
\(566\) | −2.51496 | − | 17.4919i | −0.105712 | − | 0.735240i | ||||
\(567\) | −12.6087 | − | 1.59008i | −0.529517 | − | 0.0667769i | ||||
\(568\) | 8.96106 | + | 19.6220i | 0.375998 | + | 0.823320i | ||||
\(569\) | 5.87229 | − | 3.77389i | 0.246179 | − | 0.158210i | −0.411733 | − | 0.911305i | \(-0.635076\pi\) |
0.657912 | + | 0.753095i | \(0.271440\pi\) | |||||||
\(570\) | 4.00684 | + | 8.67397i | 0.167828 | + | 0.363313i | ||||
\(571\) | −1.26613 | + | 1.97013i | −0.0529857 | + | 0.0824474i | −0.866736 | − | 0.498768i | \(-0.833786\pi\) |
0.813750 | + | 0.581215i | \(0.197422\pi\) | |||||||
\(572\) | −9.61483 | + | 11.0961i | −0.402016 | + | 0.463952i | ||||
\(573\) | −4.68858 | + | 1.39881i | −0.195868 | + | 0.0584362i | ||||
\(574\) | 2.12925i | 0.0888734i | ||||||||
\(575\) | 10.8357 | + | 4.05115i | 0.451879 | + | 0.168945i | ||||
\(576\) | −9.48602 | + | 21.2577i | −0.395251 | + | 0.885736i | ||||
\(577\) | −23.0132 | − | 6.75728i | −0.958051 | − | 0.281309i | −0.234916 | − | 0.972016i | \(-0.575482\pi\) |
−0.723135 | + | 0.690706i | \(0.757300\pi\) | |||||||
\(578\) | 0.964509 | + | 0.835752i | 0.0401183 | + | 0.0347627i | ||||
\(579\) | −33.8041 | + | 0.146649i | −1.40485 | + | 0.00609454i | ||||
\(580\) | −2.36291 | − | 0.339735i | −0.0981143 | − | 0.0141067i | ||||
\(581\) | 11.5123 | + | 17.9135i | 0.477610 | + | 0.743176i | ||||
\(582\) | −12.8841 | − | 8.20135i | −0.534063 | − | 0.339957i | ||||
\(583\) | −5.30279 | − | 6.11975i | −0.219619 | − | 0.253454i | ||||
\(584\) | −29.5733 | + | 4.25200i | −1.22375 | + | 0.175949i | ||||
\(585\) | 11.8992 | + | 13.4941i | 0.491972 | + | 0.557911i | ||||
\(586\) | 2.17379 | + | 7.40323i | 0.0897982 | + | 0.305825i | ||||
\(587\) | −1.66435 | − | 5.66827i | −0.0686953 | − | 0.233955i | 0.917988 | − | 0.396608i | \(-0.129813\pi\) |
−0.986683 | + | 0.162654i | \(0.947995\pi\) | |||||||
\(588\) | −1.11426 | − | 7.51818i | −0.0459514 | − | 0.310045i | ||||
\(589\) | 26.2179 | − | 3.76957i | 1.08029 | − | 0.155322i | ||||
\(590\) | −6.83777 | − | 7.89120i | −0.281506 | − | 0.324876i | ||||
\(591\) | −12.6044 | + | 19.8012i | −0.518477 | + | 0.814514i | ||||
\(592\) | −3.14068 | − | 4.88699i | −0.129081 | − | 0.200854i | ||||
\(593\) | −11.6702 | − | 1.67792i | −0.479238 | − | 0.0689040i | −0.101537 | − | 0.994832i | \(-0.532376\pi\) |
−0.377701 | + | 0.925928i | \(0.623285\pi\) | |||||||
\(594\) | 22.6420 | + | 9.98621i | 0.929013 | + | 0.409739i | ||||
\(595\) | −6.82301 | − | 5.91217i | −0.279716 | − | 0.242375i | ||||
\(596\) | 16.7616 | + | 4.92164i | 0.686580 | + | 0.201598i | ||||
\(597\) | −13.8064 | − | 21.2796i | −0.565057 | − | 0.870916i | ||||
\(598\) | −13.3892 | − | 13.4101i | −0.547524 | − | 0.548382i | ||||
\(599\) | − | 27.3519i | − | 1.11757i | −0.829313 | − | 0.558784i | \(-0.811268\pi\) | ||
0.829313 | − | 0.558784i | \(-0.188732\pi\) | |||||||
\(600\) | 3.64179 | + | 12.2066i | 0.148675 | + | 0.498334i | ||||
\(601\) | −14.9084 | + | 17.2052i | −0.608125 | + | 0.701813i | −0.973407 | − | 0.229084i | \(-0.926427\pi\) |
0.365282 | + | 0.930897i | \(0.380973\pi\) | |||||||
\(602\) | −7.82388 | + | 12.1742i | −0.318877 | + | 0.496183i | ||||
\(603\) | −19.0467 | + | 30.2104i | −0.775642 | + | 1.23026i | ||||
\(604\) | 1.03856 | − | 0.667442i | 0.0422584 | − | 0.0271578i | ||||
\(605\) | −6.14042 | − | 13.4457i | −0.249644 | − | 0.546644i | ||||
\(606\) | −12.4021 | − | 3.58322i | −0.503802 | − | 0.145559i | ||||
\(607\) | 0.491879 | + | 3.42109i | 0.0199647 | + | 0.138858i | 0.997366 | − | 0.0725354i | \(-0.0231090\pi\) |
−0.977401 | + | 0.211393i | \(0.932200\pi\) | |||||||
\(608\) | −6.08912 | + | 13.3333i | −0.246946 | + | 0.540737i | ||||
\(609\) | −2.69790 | + | 3.14097i | −0.109324 | + | 0.127279i | ||||
\(610\) | 3.62454 | − | 1.06426i | 0.146753 | − | 0.0430907i | ||||
\(611\) | 31.9462 | + | 14.5893i | 1.29240 | + | 0.590221i | ||||
\(612\) | 10.0531 | + | 2.85734i | 0.406371 | + | 0.115501i | ||||
\(613\) | 5.90988 | − | 5.12094i | 0.238698 | − | 0.206833i | −0.527295 | − | 0.849683i | \(-0.676794\pi\) |
0.765992 | + | 0.642850i | \(0.222248\pi\) | |||||||
\(614\) | 0.697222 | − | 0.318411i | 0.0281376 | − | 0.0128500i | ||||
\(615\) | 3.61283 | + | 1.63102i | 0.145683 | + | 0.0657690i | ||||
\(616\) | 2.75300 | − | 19.1475i | 0.110922 | − | 0.771477i | ||||
\(617\) | −11.0304 | − | 7.08879i | −0.444066 | − | 0.285384i | 0.299437 | − | 0.954116i | \(-0.403201\pi\) |
−0.743504 | + | 0.668732i | \(0.766837\pi\) | |||||||
\(618\) | −2.98793 | + | 21.4414i | −0.120192 | + | 0.862499i | ||||
\(619\) | −8.27724 | + | 28.1897i | −0.332690 | + | 1.13304i | 0.608046 | + | 0.793902i | \(0.291954\pi\) |
−0.940737 | + | 0.339138i | \(0.889865\pi\) | |||||||
\(620\) | −11.5446 | −0.463641 | ||||||||
\(621\) | 11.6744 | − | 22.0161i | 0.468477 | − | 0.883476i | ||||
\(622\) | 2.13152 | 0.0854660 | ||||||||
\(623\) | −0.181038 | + | 0.616560i | −0.00725314 | + | 0.0247019i | ||||
\(624\) | 1.31769 | − | 9.45577i | 0.0527499 | − | 0.378534i | ||||
\(625\) | −5.99047 | − | 3.84984i | −0.239619 | − | 0.153994i | ||||
\(626\) | 2.06259 | − | 14.3457i | 0.0824378 | − | 0.573368i | ||||
\(627\) | 22.9479 | + | 10.3599i | 0.916450 | + | 0.413733i | ||||
\(628\) | 9.20246 | − | 4.20262i | 0.367218 | − | 0.167703i | ||||
\(629\) | −11.8010 | + | 10.2256i | −0.470537 | + | 0.407722i | ||||
\(630\) | −6.94793 | − | 1.97478i | −0.276812 | − | 0.0786771i | ||||
\(631\) | −24.9917 | − | 11.4133i | −0.994902 | − | 0.454357i | −0.149659 | − | 0.988738i | \(-0.547817\pi\) |
−0.845244 | + | 0.534381i | \(0.820545\pi\) | |||||||
\(632\) | −10.9700 | + | 3.22108i | −0.436363 | + | 0.128128i | ||||
\(633\) | 12.7417 | − | 14.8342i | 0.506436 | − | 0.589608i | ||||
\(634\) | 3.75222 | − | 8.21621i | 0.149020 | − | 0.326307i | ||||
\(635\) | 0.298146 | + | 2.07365i | 0.0118316 | + | 0.0822904i | ||||
\(636\) | −2.62862 | − | 0.759462i | −0.104232 | − | 0.0301146i | ||||
\(637\) | 7.75258 | + | 16.9758i | 0.307168 | + | 0.672605i | ||||
\(638\) | 6.78270 | − | 4.35898i | 0.268530 | − | 0.172574i | ||||
\(639\) | 11.3198 | − | 17.9546i | 0.447804 | − | 0.710271i | ||||
\(640\) | 0.727908 | − | 1.13265i | 0.0287731 | − | 0.0447718i | ||||
\(641\) | −29.5322 | + | 34.0820i | −1.16645 | + | 1.34616i | −0.239536 | + | 0.970887i | \(0.576995\pi\) |
−0.926916 | + | 0.375270i | \(0.877550\pi\) | |||||||
\(642\) | −9.47393 | − | 31.7550i | −0.373906 | − | 1.25327i | ||||
\(643\) | 40.9797i | 1.61608i | 0.589126 | + | 0.808041i | \(0.299472\pi\) | ||||
−0.589126 | + | 0.808041i | \(0.700528\pi\) | |||||||
\(644\) | −5.79933 | − | 1.26632i | −0.228526 | − | 0.0499000i | ||||
\(645\) | 14.6635 | + | 22.6007i | 0.577375 | + | 0.889901i | ||||
\(646\) | −13.0768 | − | 3.83969i | −0.514499 | − | 0.151071i | ||||
\(647\) | −22.7458 | − | 19.7094i | −0.894231 | − | 0.774855i | 0.0808452 | − | 0.996727i | \(-0.474238\pi\) |
−0.975076 | + | 0.221871i | \(0.928784\pi\) | |||||||
\(648\) | 27.0893 | − | 4.37590i | 1.06417 | − | 0.171901i | ||||
\(649\) | −27.2349 | − | 3.91579i | −1.06906 | − | 0.153708i | ||||
\(650\) | −5.15295 | − | 8.01815i | −0.202115 | − | 0.314498i | ||||
\(651\) | −10.7526 | + | 16.8920i | −0.421426 | + | 0.662049i | ||||
\(652\) | 2.24682 | + | 2.59297i | 0.0879922 | + | 0.101548i | ||||
\(653\) | 16.3778 | − | 2.35477i | 0.640913 | − | 0.0921494i | 0.185807 | − | 0.982586i | \(-0.440510\pi\) |
0.455107 | + | 0.890437i | \(0.349601\pi\) | |||||||
\(654\) | −2.07137 | − | 13.9760i | −0.0809968 | − | 0.546504i | ||||
\(655\) | 3.75841 | + | 12.8000i | 0.146853 | + | 0.500136i | ||||
\(656\) | −0.592622 | − | 2.01828i | −0.0231380 | − | 0.0788008i | ||||
\(657\) | 19.4435 | + | 22.0496i | 0.758565 | + | 0.860235i | ||||
\(658\) | −13.9565 | + | 2.00664i | −0.544080 | + | 0.0782269i | ||||
\(659\) | 11.7423 | + | 13.5514i | 0.457416 | + | 0.527886i | 0.936869 | − | 0.349682i | \(-0.113710\pi\) |
−0.479453 | + | 0.877568i | \(0.659165\pi\) | |||||||
\(660\) | −9.25740 | − | 5.89278i | −0.360344 | − | 0.229376i | ||||
\(661\) | 3.11846 | + | 4.85242i | 0.121294 | + | 0.188737i | 0.896591 | − | 0.442860i | \(-0.146036\pi\) |
−0.775297 | + | 0.631597i | \(0.782400\pi\) | |||||||
\(662\) | 3.27879 | + | 0.471418i | 0.127434 | + | 0.0183222i | ||||
\(663\) | −25.6623 | + | 0.111329i | −0.996643 | + | 0.00432365i | ||||
\(664\) | −34.7476 | − | 30.1090i | −1.34847 | − | 1.16845i | ||||
\(665\) | −7.05140 | − | 2.07048i | −0.273442 | − | 0.0802897i | ||||
\(666\) | −5.09100 | + | 11.4087i | −0.197272 | + | 0.442076i | ||||
\(667\) | −3.88551 | − | 7.12903i | −0.150448 | − | 0.276037i | ||||
\(668\) | − | 8.82720i | − | 0.341535i | ||||||
\(669\) | 19.0299 | − | 5.67747i | 0.735739 | − | 0.219504i | ||||
\(670\) | −13.2925 | + | 15.3404i | −0.513535 | + | 0.592651i | ||||
\(671\) | 5.38175 | − | 8.37417i | 0.207760 | − | 0.323281i | ||||
\(672\) | −4.64690 | − | 10.0596i | −0.179258 | − | 0.388057i | ||||
\(673\) | 18.4088 | − | 11.8306i | 0.709606 | − | 0.456036i | −0.135402 | − | 0.990791i | \(-0.543232\pi\) |
0.845007 | + | 0.534755i | \(0.179596\pi\) | |||||||
\(674\) | 5.32912 | + | 11.6692i | 0.205270 | + | 0.449479i | ||||
\(675\) | 8.08395 | − | 9.57846i | 0.311151 | − | 0.368675i | ||||
\(676\) | −0.111948 | − | 0.778615i | −0.00430569 | − | 0.0299467i | ||||
\(677\) | 16.0670 | − | 35.1818i | 0.617505 | − | 1.35215i | −0.299815 | − | 0.953997i | \(-0.596925\pi\) |
0.917320 | − | 0.398151i | \(-0.130348\pi\) | |||||||
\(678\) | 19.6062 | + | 16.8405i | 0.752973 | + | 0.646757i | ||||
\(679\) | 11.2715 | − | 3.30960i | 0.432559 | − | 0.127011i | ||||
\(680\) | 17.7320 | + | 8.09794i | 0.679991 | + | 0.310542i | ||||
\(681\) | 0.537032 | + | 0.614362i | 0.0205791 | + | 0.0235424i | ||||
\(682\) | 29.4674 | − | 25.5336i | 1.12836 | − | 0.977734i | ||||
\(683\) | 40.2698 | − | 18.3906i | 1.54088 | − | 0.703697i | 0.549596 | − | 0.835431i | \(-0.314782\pi\) |
0.991285 | + | 0.131734i | \(0.0420545\pi\) | |||||||
\(684\) | 8.41011 | − | 1.28376i | 0.321569 | − | 0.0490859i | ||||
\(685\) | −1.33387 | + | 9.27725i | −0.0509644 | + | 0.354465i | ||||
\(686\) | −15.1168 | − | 9.71500i | −0.577163 | − | 0.370920i | ||||
\(687\) | −1.93706 | − | 0.269935i | −0.0739033 | − | 0.0102987i | ||||
\(688\) | 4.02776 | − | 13.7173i | 0.153557 | − | 0.522966i | ||||
\(689\) | 6.71847 | 0.255953 | ||||||||
\(690\) | 8.44755 | − | 11.3686i | 0.321593 | − | 0.432797i | ||||
\(691\) | 32.7374 | 1.24539 | 0.622694 | − | 0.782465i | \(-0.286038\pi\) | ||||
0.622694 | + | 0.782465i | \(0.286038\pi\) | |||||||
\(692\) | −0.572135 | + | 1.94851i | −0.0217493 | + | 0.0740714i | ||||
\(693\) | −17.2446 | + | 8.05690i | −0.655069 | + | 0.306056i | ||||
\(694\) | −14.6747 | − | 9.43083i | −0.557043 | − | 0.357990i | ||||
\(695\) | −2.20019 | + | 15.3026i | −0.0834579 | + | 0.580462i | ||||
\(696\) | 3.67865 | − | 8.14848i | 0.139439 | − | 0.308867i | ||||
\(697\) | −5.14320 | + | 2.34882i | −0.194812 | + | 0.0889678i | ||||
\(698\) | 24.9954 | − | 21.6586i | 0.946090 | − | 0.819791i | ||||
\(699\) | −4.42434 | + | 3.86745i | −0.167344 | + | 0.146280i | ||||
\(700\) | −2.71579 | − | 1.24026i | −0.102647 | − | 0.0468774i | ||||
\(701\) | 10.5436 | − | 3.09589i | 0.398228 | − | 0.116930i | −0.0764857 | − | 0.997071i | \(-0.524370\pi\) |
0.474713 | + | 0.880141i | \(0.342552\pi\) | |||||||
\(702\) | −18.5638 | + | 8.77155i | −0.700645 | + | 0.331061i | ||||
\(703\) | −5.28030 | + | 11.5623i | −0.199150 | + | 0.436079i | ||||
\(704\) | 4.96169 | + | 34.5093i | 0.187001 | + | 1.30062i | ||||
\(705\) | −7.28594 | + | 25.2178i | −0.274404 | + | 0.949758i | ||||
\(706\) | 9.31021 | + | 20.3865i | 0.350395 | + | 0.767257i | ||||
\(707\) | 8.35311 | − | 5.36822i | 0.314151 | − | 0.201893i | ||||
\(708\) | −8.44017 | + | 3.89884i | −0.317201 | + | 0.146527i | ||||
\(709\) | −22.5622 | + | 35.1075i | −0.847342 | + | 1.31849i | 0.0989220 | + | 0.995095i | \(0.468461\pi\) |
−0.946264 | + | 0.323395i | \(0.895176\pi\) | |||||||
\(710\) | 7.89997 | − | 9.11705i | 0.296481 | − | 0.342157i | ||||
\(711\) | 8.56548 | + | 7.29288i | 0.321230 | + | 0.273504i | ||||
\(712\) | − | 1.38748i | − | 0.0519981i | ||||||
\(713\) | −23.5056 | − | 31.4510i | −0.880291 | − | 1.17785i | ||||
\(714\) | 8.64324 | − | 5.60780i | 0.323465 | − | 0.209867i | ||||
\(715\) | 25.8542 | + | 7.59149i | 0.966893 | + | 0.283905i | ||||
\(716\) | −3.19041 | − | 2.76451i | −0.119231 | − | 0.103314i | ||||
\(717\) | −0.0218464 | − | 5.03581i | −0.000815870 | − | 0.188066i | ||||
\(718\) | −4.48775 | − | 0.645240i | −0.167481 | − | 0.0240802i | ||||
\(719\) | −19.7432 | − | 30.7211i | −0.736299 | − | 1.14570i | −0.984224 | − | 0.176924i | \(-0.943385\pi\) |
0.247926 | − | 0.968779i | \(-0.420251\pi\) | |||||||
\(720\) | 7.13545 | − | 0.0619113i | 0.265922 | − | 0.00230730i | ||||
\(721\) | −10.9042 | − | 12.5841i | −0.406094 | − | 0.468658i | ||||
\(722\) | 8.95248 | − | 1.28717i | 0.333177 | − | 0.0479036i | ||||
\(723\) | −3.82615 | + | 0.567070i | −0.142296 | + | 0.0210896i | ||||
\(724\) | 4.30614 | + | 14.6654i | 0.160036 | + | 0.545034i | ||||
\(725\) | −1.15050 | − | 3.91823i | −0.0427283 | − | 0.145519i | ||||
\(726\) | 16.6865 | − | 2.47309i | 0.619296 | − | 0.0917851i | ||||
\(727\) | 3.85722 | − | 0.554585i | 0.143057 | − | 0.0205684i | −0.0704145 | − | 0.997518i | \(-0.522432\pi\) |
0.213471 | + | 0.976949i | \(0.431523\pi\) | |||||||
\(728\) | 10.5104 | + | 12.1297i | 0.389542 | + | 0.449555i | ||||
\(729\) | −18.2063 | − | 19.9382i | −0.674308 | − | 0.738450i | ||||
\(730\) | 9.03341 | + | 14.0563i | 0.334342 | + | 0.520246i | ||||
\(731\) | −38.0373 | − | 5.46894i | −1.40686 | − | 0.202276i | ||||
\(732\) | −0.0145916 | − | 3.36351i | −0.000539322 | − | 0.124319i | ||||
\(733\) | 22.5664 | + | 19.5539i | 0.833509 | + | 0.722240i | 0.963047 | − | 0.269335i | \(-0.0868038\pi\) |
−0.129538 | + | 0.991575i | \(0.541349\pi\) | |||||||
\(734\) | −11.3918 | − | 3.34494i | −0.420479 | − | 0.123464i | ||||
\(735\) | −11.7014 | + | 7.59197i | −0.431613 | + | 0.280034i | ||||
\(736\) | 21.6742 | − | 1.53313i | 0.798923 | − | 0.0565120i | ||||
\(737\) | 53.4887i | 1.97028i | ||||||||
\(738\) | −2.93262 | + | 3.44436i | −0.107951 | + | 0.126789i | ||||
\(739\) | 3.35207 | − | 3.86850i | 0.123308 | − | 0.142305i | −0.690739 | − | 0.723104i | \(-0.742715\pi\) |
0.814047 | + | 0.580799i | \(0.197260\pi\) | |||||||
\(740\) | 2.99517 | − | 4.66057i | 0.110105 | − | 0.171326i | ||||
\(741\) | −18.9643 | + | 8.76032i | −0.696670 | + | 0.321819i | ||||
\(742\) | −2.26915 | + | 1.45829i | −0.0833031 | + | 0.0535356i | ||||
\(743\) | 12.0053 | + | 26.2880i | 0.440433 | + | 0.964413i | 0.991519 | + | 0.129965i | \(0.0414864\pi\) |
−0.551086 | + | 0.834449i | \(0.685786\pi\) | |||||||
\(744\) | 12.0008 | − | 41.5369i | 0.439972 | − | 1.52282i | ||||
\(745\) | −4.56268 | − | 31.7341i | −0.167164 | − | 1.16265i | ||||
\(746\) | −1.43456 | + | 3.14125i | −0.0525230 | + | 0.115009i | ||||
\(747\) | −6.04951 | + | 44.8333i | −0.221340 | + | 1.64037i | ||||
\(748\) | 15.0190 | − | 4.40997i | 0.549148 | − | 0.161244i | ||||
\(749\) | 23.1851 | + | 10.5883i | 0.847167 | + | 0.386888i | ||||
\(750\) | 16.4813 | − | 14.4068i | 0.601811 | − | 0.526061i | ||||
\(751\) | 25.7822 | − | 22.3404i | 0.940807 | − | 0.815214i | −0.0421386 | − | 0.999112i | \(-0.513417\pi\) |
0.982945 | + | 0.183898i | \(0.0588717\pi\) | |||||||
\(752\) | 12.6706 | − | 5.78648i | 0.462050 | − | 0.211011i | ||||
\(753\) | 8.29504 | − | 18.3741i | 0.302288 | − | 0.669591i | ||||
\(754\) | −0.952008 | + | 6.62136i | −0.0346701 | + | 0.241136i | ||||
\(755\) | −1.90602 | − | 1.22493i | −0.0693673 | − | 0.0445797i | ||||
\(756\) | −3.40641 | + | 5.45529i | −0.123890 | + | 0.198407i | ||||
\(757\) | 2.92187 | − | 9.95098i | 0.106197 | − | 0.361674i | −0.889199 | − | 0.457521i | \(-0.848738\pi\) |
0.995396 | + | 0.0958464i | \(0.0305557\pi\) | |||||||
\(758\) | −23.1505 | −0.840862 | ||||||||
\(759\) | −2.79496 | − | 37.2182i | −0.101451 | − | 1.35094i | ||||
\(760\) | 15.8682 | 0.575600 | ||||||||
\(761\) | 7.97071 | − | 27.1457i | 0.288938 | − | 0.984033i | −0.679271 | − | 0.733888i | \(-0.737704\pi\) |
0.968209 | − | 0.250145i | \(-0.0804781\pi\) | |||||||
\(762\) | −2.36794 | − | 0.329980i | −0.0857815 | − | 0.0119539i | ||||
\(763\) | 9.14205 | + | 5.87524i | 0.330965 | + | 0.212698i | ||||
\(764\) | −0.352387 | + | 2.45091i | −0.0127489 | + | 0.0886706i | ||||
\(765\) | −2.89432 | − | 18.9611i | −0.104644 | − | 0.685539i | ||||
\(766\) | 14.6162 | − | 6.67498i | 0.528104 | − | 0.241177i | ||||
\(767\) | 17.2529 | − | 14.9497i | 0.622965 | − | 0.539803i | ||||
\(768\) | 18.7014 | + | 21.3943i | 0.674828 | + | 0.772001i | ||||
\(769\) | −40.0709 | − | 18.2998i | −1.44500 | − | 0.659907i | −0.470109 | − | 0.882609i | \(-0.655785\pi\) |
−0.974887 | + | 0.222701i | \(0.928513\pi\) | |||||||
\(770\) | −10.3800 | + | 3.04784i | −0.374069 | + | 0.109837i | ||||
\(771\) | −3.37192 | − | 2.89627i | −0.121437 | − | 0.104307i | ||||
\(772\) | −7.10671 | + | 15.5615i | −0.255776 | + | 0.560072i | ||||
\(773\) | 3.68503 | + | 25.6300i | 0.132541 | + | 0.921846i | 0.942225 | + | 0.334980i | \(0.108729\pi\) |
−0.809684 | + | 0.586866i | \(0.800361\pi\) | |||||||
\(774\) | −29.4237 | + | 8.91759i | −1.05761 | + | 0.320536i | ||||
\(775\) | −8.20385 | − | 17.9639i | −0.294691 | − | 0.645284i | ||||
\(776\) | −21.3383 | + | 13.7133i | −0.766000 | + | 0.492278i | ||||
\(777\) | −4.02966 | − | 8.72337i | −0.144563 | − | 0.312949i | ||||
\(778\) | −14.9100 | + | 23.2004i | −0.534550 | + | 0.831776i | ||||
\(779\) | −3.01406 | + | 3.47841i | −0.107990 | + | 0.124627i | ||||
\(780\) | 8.72481 | − | 2.60300i | 0.312398 | − | 0.0932024i | ||||
\(781\) | − | 31.7892i | − | 1.13751i | ||||||
\(782\) | 4.27900 | + | 19.7446i | 0.153017 | + | 0.706065i | ||||
\(783\) | −8.69028 | + | 1.36514i | −0.310565 | + | 0.0487860i | ||||
\(784\) | 7.10207 | + | 2.08535i | 0.253645 | + | 0.0744770i | ||||
\(785\) | −14.0318 | − | 12.1586i | −0.500816 | − | 0.433960i | ||||
\(786\) | −15.2241 | + | 0.0660453i | −0.543025 | + | 0.00235576i | ||||
\(787\) | 24.6361 | + | 3.54214i | 0.878182 | + | 0.126264i | 0.566637 | − | 0.823968i | \(-0.308244\pi\) |
0.311546 | + | 0.950231i | \(0.399153\pi\) | |||||||
\(788\) | 6.42217 | + | 9.99310i | 0.228780 | + | 0.355989i | ||||
\(789\) | −30.5776 | − | 19.4641i | −1.08859 | − | 0.692941i | ||||
\(790\) | 4.18710 | + | 4.83217i | 0.148970 | + | 0.171921i | ||||
\(791\) | −19.6772 | + | 2.82916i | −0.699642 | + | 0.100593i | ||||
\(792\) | 30.8253 | − | 27.1821i | 1.09533 | − | 0.965872i | ||||
\(793\) | 2.32684 | + | 7.92449i | 0.0826285 | + | 0.281407i | ||||
\(794\) | 0.291000 | + | 0.991056i | 0.0103272 | + | 0.0351712i | ||||
\(795\) | 0.736191 | + | 4.96725i | 0.0261100 | + | 0.176170i | ||||
\(796\) | −12.7064 | + | 1.82691i | −0.450367 | + | 0.0647530i | ||||
\(797\) | 12.1916 | + | 14.0699i | 0.431849 | + | 0.498380i | 0.929410 | − | 0.369049i | \(-0.120316\pi\) |
−0.497561 | + | 0.867429i | \(0.665771\pi\) | |||||||
\(798\) | 4.50365 | − | 7.07512i | 0.159428 | − | 0.250457i | ||||
\(799\) | −20.2427 | − | 31.4982i | −0.716134 | − | 1.11433i | ||||
\(800\) | 10.8174 | + | 1.55531i | 0.382453 | + | 0.0549884i | ||||
\(801\) | −1.14204 | + | 0.748025i | −0.0403520 | + | 0.0264302i | ||||
\(802\) | 10.8383 | + | 9.39148i | 0.382715 | + | 0.331625i | ||||
\(803\) | 42.2463 | + | 12.4046i | 1.49084 | + | 0.437750i | ||||
\(804\) | 9.83718 | + | 15.1619i | 0.346930 | + | 0.534720i | ||||
\(805\) | 2.30737 | + | 10.6469i | 0.0813241 | + | 0.375254i | ||||
\(806\) | 32.3503i | 1.13949i | ||||||||
\(807\) | 14.1114 | + | 47.2991i | 0.496746 | + | 1.66501i | ||||
\(808\) | −14.0399 | + | 16.2029i | −0.493923 | + | 0.570017i | ||||
\(809\) | −20.6545 | + | 32.1390i | −0.726174 | + | 1.12995i | 0.260220 | + | 0.965549i | \(0.416205\pi\) |
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(810\) | −8.51935 | − | 12.7638i | −0.299340 | − | 0.448476i | ||||
\(811\) | −6.36974 | + | 4.09358i | −0.223672 | + | 0.143745i | −0.647678 | − | 0.761914i | \(-0.724260\pi\) |
0.424006 | + | 0.905659i | \(0.360623\pi\) | |||||||
\(812\) | 0.870475 | + | 1.90607i | 0.0305477 | + | 0.0668901i | ||||
\(813\) | 0.0555718 | + | 0.0160558i | 0.00194899 | + | 0.000563102i | ||||
\(814\) | 2.66286 | + | 18.5206i | 0.0933333 | + | 0.649147i | ||||
\(815\) | 2.61576 | − | 5.72772i | 0.0916261 | − | 0.200633i | ||||
\(816\) | −6.63200 | + | 7.72116i | −0.232166 | + | 0.270295i | ||||
\(817\) | −30.0145 | + | 8.81304i | −1.05007 | + | 0.308329i | ||||
\(818\) | −14.8641 | − | 6.78823i | −0.519712 | − | 0.237345i | ||||
\(819\) | 4.31755 | − | 15.1906i | 0.150867 | − | 0.530801i | ||||
\(820\) | 1.51606 | − | 1.31367i | 0.0529431 | − | 0.0458755i | ||||
\(821\) | −48.0854 | + | 21.9599i | −1.67819 | + | 0.766405i | −0.678704 | + | 0.734412i | \(0.737458\pi\) |
−0.999488 | + | 0.0319923i | \(0.989815\pi\) | |||||||
\(822\) | −9.74881 | − | 4.40112i | −0.340029 | − | 0.153507i | ||||
\(823\) | 1.34935 | − | 9.38492i | 0.0470353 | − | 0.327138i | −0.952695 | − | 0.303927i | \(-0.901702\pi\) |
0.999731 | − | 0.0232106i | \(-0.00738884\pi\) | |||||||
\(824\) | 30.2459 | + | 19.4379i | 1.05367 | + | 0.677150i | ||||
\(825\) | 2.59093 | − | 18.5925i | 0.0902046 | − | 0.647309i | ||||
\(826\) | −2.58218 | + | 8.79410i | −0.0898456 | + | 0.305986i | ||||
\(827\) | −49.1675 | −1.70972 | −0.854860 | − | 0.518859i | \(-0.826357\pi\) | ||||
−0.854860 | + | 0.518859i | \(0.826357\pi\) | |||||||
\(828\) | −7.63711 | − | 10.0359i | −0.265408 | − | 0.348770i | ||||
\(829\) | 57.2339 | 1.98782 | 0.993908 | − | 0.110215i | \(-0.0351539\pi\) | ||||
0.993908 | + | 0.110215i | \(0.0351539\pi\) | |||||||
\(830\) | −7.24408 | + | 24.6711i | −0.251446 | + | 0.856346i | ||||
\(831\) | 7.25787 | − | 52.0826i | 0.251773 | − | 1.80672i | ||||
\(832\) | −24.3344 | − | 15.6388i | −0.843645 | − | 0.542177i | ||||
\(833\) | 2.83152 | − | 19.6937i | 0.0981064 | − | 0.682345i | ||||
\(834\) | −16.0805 | − | 7.25957i | −0.556821 | − | 0.251378i | ||||
\(835\) | −14.7362 | + | 6.72980i | −0.509967 | + | 0.232894i | ||||
\(836\) | 9.62969 | − | 8.34417i | 0.333050 | − | 0.288589i | ||||
\(837\) | −40.6591 | + | 12.5156i | −1.40538 | + | 0.432602i | ||||
\(838\) | 24.5305 | + | 11.2027i | 0.847391 | + | 0.386990i | ||||
\(839\) | 6.50174 | − | 1.90908i | 0.224465 | − | 0.0659089i | −0.167566 | − | 0.985861i | \(-0.553591\pi\) |
0.392031 | + | 0.919952i | \(0.371773\pi\) | |||||||
\(840\) | −7.81628 | + | 9.09994i | −0.269687 | + | 0.313978i | ||||
\(841\) | 10.8564 | − | 23.7722i | 0.374359 | − | 0.819732i | ||||
\(842\) | 4.05317 | + | 28.1904i | 0.139681 | + | 0.971505i | ||||
\(843\) | 38.6086 | + | 11.1548i | 1.32975 | + | 0.384192i | ||||
\(844\) | −4.11109 | − | 9.00203i | −0.141509 | − | 0.309863i | ||||
\(845\) | −1.21448 | + | 0.780497i | −0.0417793 | + | 0.0268499i | ||||
\(846\) | −25.3403 | − | 15.9762i | −0.871216 | − | 0.549274i | ||||
\(847\) | −7.01471 | + | 10.9151i | −0.241028 | + | 0.375047i | ||||
\(848\) | 1.74501 | − | 2.01385i | 0.0599239 | − | 0.0691559i | ||||
\(849\) | 8.25592 | + | 27.6724i | 0.283342 | + | 0.949715i | ||||
\(850\) | 10.1614i | 0.348533i | ||||||||
\(851\) | 18.7953 | − | 1.32949i | 0.644293 | − | 0.0455743i | ||||
\(852\) | −5.84640 | − | 9.01099i | −0.200294 | − | 0.308711i | ||||
\(853\) | −25.2839 | − | 7.42402i | −0.865704 | − | 0.254194i | −0.181417 | − | 0.983406i | \(-0.558068\pi\) |
−0.684287 | + | 0.729213i | \(0.739886\pi\) | |||||||
\(854\) | −2.50596 | − | 2.17142i | −0.0857520 | − | 0.0743046i | ||||
\(855\) | −8.55494 | − | 13.0612i | −0.292573 | − | 0.446683i | ||||
\(856\) | −54.4747 | − | 7.83228i | −1.86191 | − | 0.267702i | ||||
\(857\) | 23.4245 | + | 36.4493i | 0.800166 | + | 1.24508i | 0.965901 | + | 0.258913i | \(0.0833642\pi\) |
−0.165735 | + | 0.986170i | \(0.552999\pi\) | |||||||
\(858\) | −16.5128 | + | 25.9412i | −0.563738 | + | 0.885618i | ||||
\(859\) | −33.6570 | − | 38.8423i | −1.14836 | − | 1.32528i | −0.937588 | − | 0.347747i | \(-0.886947\pi\) |
−0.210775 | − | 0.977535i | \(-0.567599\pi\) | |||||||
\(860\) | 13.4953 | − | 1.94033i | 0.460184 | − | 0.0661645i | ||||
\(861\) | −0.510113 | − | 3.44185i | −0.0173846 | − | 0.117298i | ||||
\(862\) | −0.653264 | − | 2.22481i | −0.0222503 | − | 0.0757774i | ||||
\(863\) | −13.6113 | − | 46.3557i | −0.463333 | − | 1.57797i | −0.777681 | − | 0.628659i | \(-0.783604\pi\) |
0.314349 | − | 0.949308i | \(-0.398214\pi\) | |||||||
\(864\) | 6.33805 | − | 22.6729i | 0.215625 | − | 0.771348i | ||||
\(865\) | 3.68906 | − | 0.530406i | 0.125432 | − | 0.0180344i | ||||
\(866\) | −16.3954 | − | 18.9213i | −0.557137 | − | 0.642971i | ||||
\(867\) | −1.75931 | − | 1.11989i | −0.0597493 | − | 0.0380333i | ||||
\(868\) | 5.47861 | + | 8.52489i | 0.185956 | + | 0.289354i | ||||
\(869\) | 16.6773 | + | 2.39783i | 0.565738 | + | 0.0813408i | ||||
\(870\) | −4.99978 | + | 0.0216901i | −0.169508 | + | 0.000735363i | ||||
\(871\) | −33.5393 | − | 29.0620i | −1.13644 | − | 0.984729i | ||||
\(872\) | −22.5140 | − | 6.61071i | −0.762421 | − | 0.223867i | ||||
\(873\) | 22.7914 | + | 10.1704i | 0.771373 | + | 0.344217i | ||||
\(874\) | 9.84519 | + | 13.1731i | 0.333019 | + | 0.445587i | ||||
\(875\) | 16.8372i | 0.569200i | ||||||||
\(876\) | 14.2565 | − | 4.25335i | 0.481682 | − | 0.143707i | ||||
\(877\) | −28.6924 | + | 33.1128i | −0.968873 | + | 1.11814i | 0.0240894 | + | 0.999710i | \(0.492331\pi\) |
−0.992962 | + | 0.118429i | \(0.962214\pi\) | |||||||
\(878\) | 18.2981 | − | 28.4724i | 0.617531 | − | 0.960897i | ||||
\(879\) | −5.28745 | − | 11.4462i | −0.178341 | − | 0.386072i | ||||
\(880\) | 8.99074 | − | 5.77800i | 0.303078 | − | 0.194776i | ||||
\(881\) | −4.94883 | − | 10.8364i | −0.166730 | − | 0.365089i | 0.807762 | − | 0.589508i | \(-0.200679\pi\) |
−0.974493 | + | 0.224420i | \(0.927951\pi\) | |||||||
\(882\) | −4.61705 | − | 15.2340i | −0.155464 | − | 0.512955i | ||||
\(883\) | −4.97510 | − | 34.6026i | −0.167425 | − | 1.16447i | −0.884181 | − | 0.467145i | \(-0.845283\pi\) |
0.716755 | − | 0.697325i | \(-0.245626\pi\) | |||||||
\(884\) | −5.39505 | + | 11.8135i | −0.181455 | + | 0.397331i | ||||
\(885\) | 12.9435 | + | 11.1176i | 0.435090 | + | 0.373716i | ||||
\(886\) | 26.7280 | − | 7.84806i | 0.897946 | − | 0.263661i | ||||
\(887\) | −12.5334 | − | 5.72381i | −0.420830 | − | 0.192187i | 0.193733 | − | 0.981054i | \(-0.437940\pi\) |
−0.614563 | + | 0.788868i | \(0.710668\pi\) | |||||||
\(888\) | 13.6550 | + | 15.6213i | 0.458232 | + | 0.524215i | ||||
\(889\) | 1.38977 | − | 1.20424i | 0.0466112 | − | 0.0403889i | ||||
\(890\) | −0.705818 | + | 0.322336i | −0.0236591 | + | 0.0108047i | ||||
\(891\) | −38.9923 | − | 10.7179i | −1.30629 | − | 0.359062i | ||||
\(892\) | 1.43026 | − | 9.94769i | 0.0478887 | − | 0.333073i | ||||
\(893\) | −25.6402 | − | 16.4780i | −0.858016 | − | 0.551414i | ||||
\(894\) | 36.2378 | + | 5.04985i | 1.21197 | + | 0.168892i | ||||
\(895\) | −2.18274 | + | 7.43374i | −0.0729611 | + | 0.248483i | ||||
\(896\) | −1.18182 | −0.0394819 | ||||||||
\(897\) | 24.8558 | + | 18.4692i | 0.829910 | + | 0.616670i | ||||
\(898\) | 40.3731 | 1.34727 | ||||||||
\(899\) | −3.90495 | + | 13.2991i | −0.130238 | + | 0.443548i | ||||
\(900\) | −2.68495 | − | 5.74675i | −0.0894985 | − | 0.191558i | ||||
\(901\) | −6.02563 | − | 3.87244i | −0.200743 | − | 0.129010i | ||||
\(902\) | −0.964218 | + | 6.70628i | −0.0321049 | + | 0.223295i | ||||
\(903\) | 9.73035 | − | 21.5535i | 0.323806 | − | 0.717254i | ||||
\(904\) | 39.0452 | − | 17.8313i | 1.29862 | − | 0.593061i | ||||
\(905\) | 21.1995 | − | 18.3695i | 0.704696 | − | 0.610623i | ||||
\(906\) | 1.94674 | − | 1.70170i | 0.0646761 | − | 0.0565353i | ||||
\(907\) | −10.2997 | − | 4.70372i | −0.341997 | − | 0.156185i | 0.237011 | − | 0.971507i | \(-0.423832\pi\) |
−0.579007 | + | 0.815322i | \(0.696560\pi\) | |||||||
\(908\) | 0.396224 | − | 0.116342i | 0.0131492 | − | 0.00386094i | ||||
\(909\) | 20.9060 | + | 2.82091i | 0.693407 | + | 0.0935637i | ||||
\(910\) | 3.72866 | − | 8.16462i | 0.123604 | − | 0.270655i | ||||
\(911\) | 1.37642 | + | 9.57320i | 0.0456028 | + | 0.317174i | 0.999836 | + | 0.0181108i | \(0.00576517\pi\) |
−0.954233 | + | 0.299064i | \(0.903326\pi\) | |||||||
\(912\) | −2.29977 | + | 7.95986i | −0.0761528 | + | 0.263577i | ||||
\(913\) | 28.1470 | + | 61.6334i | 0.931530 | + | 2.03977i | ||||
\(914\) | 3.63136 | − | 2.33374i | 0.120115 | − | 0.0771931i | ||||
\(915\) | −5.60395 | + | 2.58868i | −0.185261 | + | 0.0855790i | ||||
\(916\) | −0.535107 | + | 0.832642i | −0.0176804 | + | 0.0275113i | ||||
\(917\) | 7.66832 | − | 8.84971i | 0.253230 | − | 0.292243i | ||||
\(918\) | 21.7052 | + | 2.83294i | 0.716380 | + | 0.0935010i | ||||
\(919\) | 48.2925i | 1.59302i | 0.604623 | + | 0.796512i | \(0.293324\pi\) | ||||
−0.604623 | + | 0.796512i | \(0.706676\pi\) | |||||||
\(920\) | −11.2570 | − | 20.6540i | −0.371132 | − | 0.680943i | ||||
\(921\) | −1.05075 | + | 0.681733i | −0.0346233 | + | 0.0224639i | ||||
\(922\) | −21.6119 | − | 6.34581i | −0.711749 | − | 0.208988i | ||||
\(923\) | 19.9330 | + | 17.2721i | 0.656103 | + | 0.568516i | ||||
\(924\) | 0.0417877 | + | 9.63246i | 0.00137471 | + | 0.316885i | ||||
\(925\) | 9.38053 | + | 1.34872i | 0.308430 | + | 0.0443455i | ||||
\(926\) | 7.53589 | + | 11.7261i | 0.247645 | + | 0.385343i | ||||
\(927\) | −0.306934 | − | 35.3749i | −0.0100810 | − | 1.16187i | ||||
\(928\) | −5.02294 | − | 5.79678i | −0.164886 | − | 0.190289i | ||||
\(929\) | −12.3923 | + | 1.78174i | −0.406577 | + | 0.0584569i | −0.342570 | − | 0.939492i | \(-0.611297\pi\) |
−0.0640075 | + | 0.997949i | \(0.520388\pi\) | |||||||
\(930\) | −23.9180 | + | 3.54486i | −0.784301 | + | 0.116240i | ||||
\(931\) | −4.56292 | − | 15.5399i | −0.149544 | − | 0.509298i | ||||
\(932\) | 0.837839 | + | 2.85342i | 0.0274443 | + | 0.0934668i | ||||
\(933\) | −3.44551 | + | 0.510655i | −0.112801 | + | 0.0167181i | ||||
\(934\) | 13.2099 | − | 1.89929i | 0.432240 | − | 0.0621468i | ||||
\(935\) | −18.8124 | − | 21.7107i | −0.615231 | − | 0.710015i | ||||
\(936\) | 0.295849 | + | 34.0974i | 0.00967012 | + | 1.11451i | ||||
\(937\) | 9.87548 | + | 15.3665i | 0.322618 | + | 0.502003i | 0.964245 | − | 0.265014i | \(-0.0853765\pi\) |
−0.641627 | + | 0.767017i | \(0.721740\pi\) | |||||||
\(938\) | 17.6360 | + | 2.53567i | 0.575835 | + | 0.0827926i | ||||
\(939\) | 0.102743 | + | 23.6833i | 0.00335290 | + | 0.772875i | ||||
\(940\) | 10.0394 | + | 8.69919i | 0.327449 | + | 0.283736i | ||||
\(941\) | −10.7847 | − | 3.16668i | −0.351572 | − | 0.103231i | 0.101178 | − | 0.994868i | \(-0.467739\pi\) |
−0.452750 | + | 0.891638i | \(0.649557\pi\) | |||||||
\(942\) | 17.7752 | − | 11.5327i | 0.579146 | − | 0.375755i | ||||
\(943\) | 6.66568 | + | 1.45549i | 0.217064 | + | 0.0473973i | ||||
\(944\) | − | 9.05446i | − | 0.294698i | ||||||
\(945\) | 11.7041 | + | 1.52761i | 0.380735 | + | 0.0496931i | ||||
\(946\) | −30.1550 | + | 34.8007i | −0.980424 | + | 1.13147i | ||||
\(947\) | 13.4195 | − | 20.8811i | 0.436075 | − | 0.678546i | −0.551768 | − | 0.833997i | \(-0.686047\pi\) |
0.987844 | + | 0.155451i | \(0.0496831\pi\) | |||||||
\(948\) | 5.16833 | − | 2.38745i | 0.167860 | − | 0.0775407i | ||||
\(949\) | −30.7318 | + | 19.7501i | −0.997597 | + | 0.641117i | ||||
\(950\) | 3.43614 | + | 7.52410i | 0.111483 | + | 0.244114i | ||||
\(951\) | −4.09691 | + | 14.1801i | −0.132852 | + | 0.459821i | ||||
\(952\) | −2.43516 | − | 16.9369i | −0.0789239 | − | 0.548927i | ||||
\(953\) | −1.10582 | + | 2.42141i | −0.0358210 | + | 0.0784370i | −0.926697 | − | 0.375810i | \(-0.877364\pi\) |
0.890876 | + | 0.454247i | \(0.150092\pi\) | |||||||
\(954\) | −5.67917 | − | 0.766309i | −0.183870 | − | 0.0248102i | ||||
\(955\) | 4.36022 | − | 1.28028i | 0.141093 | − | 0.0414288i | ||||
\(956\) | −2.31821 | − | 1.05869i | −0.0749762 | − | 0.0342405i | ||||
\(957\) | −9.91966 | + | 8.67106i | −0.320657 | + | 0.280296i | ||||
\(958\) | 8.99348 | − | 7.79289i | 0.290566 | − | 0.251777i | ||||
\(959\) | 7.48363 | − | 3.41766i | 0.241659 | − | 0.110362i | ||||
\(960\) | 8.89593 | − | 19.7051i | 0.287115 | − | 0.635981i | ||||
\(961\) | −5.12755 | + | 35.6629i | −0.165405 | + | 1.15042i | ||||
\(962\) | −13.0599 | − | 8.39310i | −0.421069 | − | 0.270604i | ||||
\(963\) | 22.9219 | + | 49.0609i | 0.738647 | + | 1.58097i | ||||
\(964\) | −0.551481 | + | 1.87817i | −0.0177620 | + | 0.0604918i | ||||
\(965\) | 31.3967 | 1.01069 | ||||||||
\(966\) | −12.4039 | − | 0.842820i | −0.399088 | − | 0.0271173i | ||||
\(967\) | 1.99729 | 0.0642286 | 0.0321143 | − | 0.999484i | \(-0.489776\pi\) | ||||
0.0321143 | + | 0.999484i | \(0.489776\pi\) | |||||||
\(968\) | 7.89281 | − | 26.8805i | 0.253685 | − | 0.863971i | ||||
\(969\) | 22.0580 | + | 3.07385i | 0.708604 | + | 0.0987461i | ||||
\(970\) | 11.9333 | + | 7.66904i | 0.383154 | + | 0.246238i | ||||
\(971\) | 3.09698 | − | 21.5400i | 0.0993869 | − | 0.691251i | −0.877824 | − | 0.478983i | \(-0.841006\pi\) |
0.977211 | − | 0.212269i | \(-0.0680852\pi\) | |||||||
\(972\) | −13.0239 | + | 4.13303i | −0.417742 | + | 0.132567i | ||||
\(973\) | 12.3441 | − | 5.63736i | 0.395734 | − | 0.180726i | ||||
\(974\) | 6.54079 | − | 5.66763i | 0.209580 | − | 0.181603i | ||||
\(975\) | 10.2505 | + | 11.7265i | 0.328278 | + | 0.375548i | ||||
\(976\) | 2.97971 | + | 1.36079i | 0.0953782 | + | 0.0435578i | ||||
\(977\) | −1.03752 | + | 0.304644i | −0.0331933 | + | 0.00974644i | −0.298287 | − | 0.954476i | \(-0.596415\pi\) |
0.265094 | + | 0.964223i | \(0.414597\pi\) | |||||||
\(978\) | 5.45114 | + | 4.68219i | 0.174308 | + | 0.149720i | ||||
\(979\) | −0.849401 | + | 1.85993i | −0.0271470 | + | 0.0594436i | ||||
\(980\) | 1.00460 | + | 6.98712i | 0.0320906 | + | 0.223195i | ||||
\(981\) | 6.69655 | + | 22.0953i | 0.213804 | + | 0.705450i | ||||
\(982\) | 1.65313 | + | 3.61984i | 0.0527533 | + | 0.115514i | ||||
\(983\) | 33.3880 | − | 21.4572i | 1.06491 | − | 0.684378i | 0.113889 | − | 0.993494i | \(-0.463669\pi\) |
0.951025 | + | 0.309115i | \(0.100033\pi\) | |||||||
\(984\) | 3.15057 | + | 6.82032i | 0.100436 | + | 0.217424i | ||||
\(985\) | 11.7863 | − | 18.3399i | 0.375544 | − | 0.584358i | ||||
\(986\) | 4.67030 | − | 5.38982i | 0.148733 | − | 0.171647i | ||||
\(987\) | 22.0793 | − | 6.58725i | 0.702792 | − | 0.209674i | ||||
\(988\) | 10.5718i | 0.336334i | ||||||||
\(989\) | 32.7634 | + | 32.8147i | 1.04182 | + | 1.04345i | ||||
\(990\) | −20.9889 | − | 9.36607i | −0.667070 | − | 0.297673i | ||||
\(991\) | 45.2455 | + | 13.2853i | 1.43727 | + | 0.422020i | 0.905311 | − | 0.424750i | \(-0.139638\pi\) |
0.531959 | + | 0.846770i | \(0.321456\pi\) | |||||||
\(992\) | −28.0334 | − | 24.2910i | −0.890060 | − | 0.771241i | ||||
\(993\) | −5.41296 | + | 0.0234826i | −0.171775 | + | 0.000745197i | ||||
\(994\) | −10.4814 | − | 1.50699i | −0.332449 | − | 0.0477989i | ||||
\(995\) | 12.7371 | + | 19.8194i | 0.403794 | + | 0.628316i | ||||
\(996\) | 19.3136 | + | 12.2941i | 0.611976 | + | 0.389552i | ||||
\(997\) | 26.3103 | + | 30.3637i | 0.833256 | + | 0.961628i | 0.999702 | − | 0.0244223i | \(-0.00777463\pi\) |
−0.166446 | + | 0.986051i | \(0.553229\pi\) | |||||||
\(998\) | −14.3539 | + | 2.06377i | −0.454363 | + | 0.0653276i | ||||
\(999\) | 5.49617 | − | 19.6613i | 0.173891 | − | 0.622055i |
(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 | 69.2.g.a.5.4 | yes | 60 | |
3.2 | odd | 2 | inner | 69.2.g.a.5.3 | ✓ | 60 | |
23.14 | odd | 22 | inner | 69.2.g.a.14.3 | yes | 60 | |
69.14 | even | 22 | inner | 69.2.g.a.14.4 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.g.a.5.3 | ✓ | 60 | 3.2 | odd | 2 | inner | |
69.2.g.a.5.4 | yes | 60 | 1.1 | even | 1 | trivial | |
69.2.g.a.14.3 | yes | 60 | 23.14 | odd | 22 | inner | |
69.2.g.a.14.4 | yes | 60 | 69.14 | even | 22 | inner |