Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.6 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.f.131.6 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.314756 | + | 1.37874i | 0.222566 | + | 0.974918i | ||||
\(3\) | −2.66758 | − | 1.54013i | −1.54013 | − | 0.889192i | −0.998830 | − | 0.0483596i | \(-0.984601\pi\) |
−0.541296 | − | 0.840832i | \(-0.682066\pi\) | |||||||
\(4\) | −1.80186 | + | 0.867935i | −0.900929 | + | 0.433967i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 1.28380 | − | 4.16266i | 0.524109 | − | 1.69940i | ||||
\(7\) | 2.53597 | + | 0.754231i | 0.958506 | + | 0.285072i | ||||
\(8\) | −1.76380 | − | 2.21111i | −0.623599 | − | 0.781745i | ||||
\(9\) | 3.24397 | + | 5.61873i | 1.08132 | + | 1.87291i | ||||
\(10\) | 1.03665 | − | 0.961958i | 0.327817 | − | 0.304198i | ||||
\(11\) | −1.64217 | + | 2.84433i | −0.495134 | + | 0.857597i | −0.999984 | − | 0.00560987i | \(-0.998214\pi\) |
0.504850 | + | 0.863207i | \(0.331548\pi\) | |||||||
\(12\) | 6.14332 | + | 0.459804i | 1.77342 | + | 0.132734i | ||||
\(13\) | 6.72078 | 1.86401 | 0.932005 | − | 0.362446i | \(-0.118058\pi\) | ||||
0.932005 | + | 0.362446i | \(0.118058\pi\) | |||||||
\(14\) | −0.241678 | + | 3.73384i | −0.0645911 | + | 0.997912i | ||||
\(15\) | 3.08025i | 0.795317i | ||||||||
\(16\) | 2.49338 | − | 3.12779i | 0.623345 | − | 0.781947i | ||||
\(17\) | 3.32426 | + | 1.91926i | 0.806252 | + | 0.465490i | 0.845652 | − | 0.533734i | \(-0.179212\pi\) |
−0.0394009 | + | 0.999223i | \(0.512545\pi\) | |||||||
\(18\) | −6.72571 | + | 6.24113i | −1.58527 | + | 1.47105i | ||||
\(19\) | −0.618548 | + | 0.357119i | −0.141905 | + | 0.0819287i | −0.569271 | − | 0.822150i | \(-0.692775\pi\) |
0.427367 | + | 0.904078i | \(0.359441\pi\) | |||||||
\(20\) | 1.65258 | + | 1.12649i | 0.369529 | + | 0.251890i | ||||
\(21\) | −5.60328 | − | 5.91768i | −1.22274 | − | 1.29134i | ||||
\(22\) | −4.43848 | − | 1.36886i | −0.946286 | − | 0.291843i | ||||
\(23\) | 1.09312 | − | 0.631110i | 0.227930 | − | 0.131596i | −0.381687 | − | 0.924292i | \(-0.624657\pi\) |
0.609617 | + | 0.792696i | \(0.291323\pi\) | |||||||
\(24\) | 1.29970 | + | 8.61478i | 0.265299 | + | 1.75848i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 2.11541 | + | 9.26622i | 0.414866 | + | 1.81726i | ||||
\(27\) | − | 10.7438i | − | 2.06764i | ||||||
\(28\) | −5.22408 | + | 0.842039i | −0.987258 | + | 0.159130i | ||||
\(29\) | 3.04491i | 0.565426i | 0.959205 | + | 0.282713i | \(0.0912344\pi\) | ||||
−0.959205 | + | 0.282713i | \(0.908766\pi\) | |||||||
\(30\) | −4.24687 | + | 0.969528i | −0.775369 | + | 0.177011i | ||||
\(31\) | 0.0335679 | − | 0.0581414i | 0.00602898 | − | 0.0104425i | −0.862995 | − | 0.505212i | \(-0.831414\pi\) |
0.869024 | + | 0.494770i | \(0.164748\pi\) | |||||||
\(32\) | 5.09722 | + | 2.45323i | 0.901070 | + | 0.433674i | ||||
\(33\) | 8.76124 | − | 5.05831i | 1.52514 | − | 0.880538i | ||||
\(34\) | −1.59984 | + | 5.18740i | −0.274370 | + | 0.889631i | ||||
\(35\) | −0.614801 | − | 2.57333i | −0.103920 | − | 0.434972i | ||||
\(36\) | −10.7219 | − | 7.30859i | −1.78698 | − | 1.21810i | ||||
\(37\) | −0.498735 | + | 0.287945i | −0.0819916 | + | 0.0473379i | −0.540435 | − | 0.841386i | \(-0.681740\pi\) |
0.458444 | + | 0.888723i | \(0.348407\pi\) | |||||||
\(38\) | −0.687067 | − | 0.740413i | −0.111457 | − | 0.120111i | ||||
\(39\) | −17.9282 | − | 10.3508i | −2.87081 | − | 1.65746i | ||||
\(40\) | −1.03297 | + | 2.63305i | −0.163327 | + | 0.416322i | ||||
\(41\) | − | 0.230821i | − | 0.0360483i | −0.999838 | − | 0.0180241i | \(-0.994262\pi\) | ||
0.999838 | − | 0.0180241i | \(-0.00573757\pi\) | |||||||
\(42\) | 6.39528 | − | 9.58810i | 0.986814 | − | 1.47948i | ||||
\(43\) | 10.0631 | 1.53462 | 0.767308 | − | 0.641279i | \(-0.221596\pi\) | ||||
0.767308 | + | 0.641279i | \(0.221596\pi\) | |||||||
\(44\) | 0.490271 | − | 6.55037i | 0.0739111 | − | 0.987506i | ||||
\(45\) | 3.24397 | − | 5.61873i | 0.483583 | − | 0.837591i | ||||
\(46\) | 1.21420 | + | 1.30848i | 0.179024 | + | 0.192925i | ||||
\(47\) | −4.23402 | − | 7.33354i | −0.617595 | − | 1.06971i | −0.989923 | − | 0.141605i | \(-0.954774\pi\) |
0.372328 | − | 0.928101i | \(-0.378560\pi\) | |||||||
\(48\) | −11.4685 | + | 4.50350i | −1.65533 | + | 0.650024i | ||||
\(49\) | 5.86227 | + | 3.82541i | 0.837467 | + | 0.546487i | ||||
\(50\) | −1.35140 | − | 0.416784i | −0.191117 | − | 0.0589422i | ||||
\(51\) | −5.91181 | − | 10.2396i | −0.827819 | − | 1.43382i | ||||
\(52\) | −12.1099 | + | 5.83320i | −1.67934 | + | 0.808919i | ||||
\(53\) | 2.16915 | + | 1.25236i | 0.297955 | + | 0.172024i | 0.641524 | − | 0.767103i | \(-0.278303\pi\) |
−0.343569 | + | 0.939128i | \(0.611636\pi\) | |||||||
\(54\) | 14.8129 | − | 3.38166i | 2.01578 | − | 0.460186i | ||||
\(55\) | 3.28435 | 0.442861 | ||||||||
\(56\) | −2.80526 | − | 6.93761i | −0.374869 | − | 0.927078i | ||||
\(57\) | 2.20003 | 0.291401 | ||||||||
\(58\) | −4.19815 | + | 0.958404i | −0.551243 | + | 0.125845i | ||||
\(59\) | 0.986424 | + | 0.569512i | 0.128422 | + | 0.0741442i | 0.562835 | − | 0.826570i | \(-0.309711\pi\) |
−0.434413 | + | 0.900714i | \(0.643044\pi\) | |||||||
\(60\) | −2.67346 | − | 5.55017i | −0.345142 | − | 0.716524i | ||||
\(61\) | −0.0888960 | − | 0.153972i | −0.0113820 | − | 0.0197141i | 0.860278 | − | 0.509825i | \(-0.170290\pi\) |
−0.871660 | + | 0.490111i | \(0.836956\pi\) | |||||||
\(62\) | 0.0907277 | + | 0.0279812i | 0.0115224 | + | 0.00355361i | ||||
\(63\) | 3.98880 | + | 16.6956i | 0.502541 | + | 2.10345i | ||||
\(64\) | −1.77799 | + | 7.79992i | −0.222249 | + | 0.974990i | ||||
\(65\) | −3.36039 | − | 5.82037i | −0.416805 | − | 0.721928i | ||||
\(66\) | 9.73175 | + | 10.4874i | 1.19790 | + | 1.29090i | ||||
\(67\) | −6.92927 | + | 12.0019i | −0.846545 | + | 1.46626i | 0.0377270 | + | 0.999288i | \(0.487988\pi\) |
−0.884272 | + | 0.466971i | \(0.845345\pi\) | |||||||
\(68\) | −7.65564 | − | 0.572996i | −0.928382 | − | 0.0694859i | ||||
\(69\) | −3.88796 | −0.468055 | ||||||||
\(70\) | 3.35444 | − | 1.65762i | 0.400933 | − | 0.198124i | ||||
\(71\) | 12.0720i | 1.43268i | 0.697749 | + | 0.716342i | \(0.254185\pi\) | ||||
−0.697749 | + | 0.716342i | \(0.745815\pi\) | |||||||
\(72\) | 6.70188 | − | 17.0831i | 0.789824 | − | 2.01326i | ||||
\(73\) | −3.89739 | − | 2.25016i | −0.456155 | − | 0.263361i | 0.254271 | − | 0.967133i | \(-0.418164\pi\) |
−0.710426 | + | 0.703772i | \(0.751498\pi\) | |||||||
\(74\) | −0.553982 | − | 0.596995i | −0.0643991 | − | 0.0693992i | ||||
\(75\) | 2.66758 | − | 1.54013i | 0.308025 | − | 0.177838i | ||||
\(76\) | 0.804579 | − | 1.18034i | 0.0922916 | − | 0.135394i | ||||
\(77\) | −6.30978 | + | 5.97455i | −0.719066 | + | 0.680863i | ||||
\(78\) | 8.62814 | − | 27.9763i | 0.976944 | − | 3.16770i | ||||
\(79\) | 9.66655 | − | 5.58099i | 1.08757 | − | 0.627910i | 0.154643 | − | 0.987970i | \(-0.450577\pi\) |
0.932929 | + | 0.360061i | \(0.117244\pi\) | |||||||
\(80\) | −3.95543 | − | 0.595434i | −0.442231 | − | 0.0665716i | ||||
\(81\) | −6.81481 | + | 11.8036i | −0.757202 | + | 1.31151i | ||||
\(82\) | 0.318243 | − | 0.0726525i | 0.0351441 | − | 0.00802312i | ||||
\(83\) | − | 3.24478i | − | 0.356161i | −0.984016 | − | 0.178081i | \(-0.943011\pi\) | ||
0.984016 | − | 0.178081i | \(-0.0569888\pi\) | |||||||
\(84\) | 15.2325 | + | 5.79953i | 1.66200 | + | 0.632781i | ||||
\(85\) | − | 3.83853i | − | 0.416347i | ||||||
\(86\) | 3.16744 | + | 13.8745i | 0.341554 | + | 1.49612i | ||||
\(87\) | 4.68955 | − | 8.12253i | 0.502772 | − | 0.870827i | ||||
\(88\) | 9.18558 | − | 1.38581i | 0.979187 | − | 0.147728i | ||||
\(89\) | −13.3148 | + | 7.68732i | −1.41137 | + | 0.814854i | −0.995517 | − | 0.0945783i | \(-0.969850\pi\) |
−0.415852 | + | 0.909433i | \(0.636516\pi\) | |||||||
\(90\) | 8.76784 | + | 2.70407i | 0.924211 | + | 0.285034i | ||||
\(91\) | 17.0437 | + | 5.06902i | 1.78666 | + | 0.531378i | ||||
\(92\) | −1.42187 | + | 2.08592i | −0.148241 | + | 0.217473i | ||||
\(93\) | −0.179090 | + | 0.103398i | −0.0185708 | + | 0.0107218i | ||||
\(94\) | 8.77837 | − | 8.14590i | 0.905420 | − | 0.840185i | ||||
\(95\) | 0.618548 | + | 0.357119i | 0.0634617 | + | 0.0366396i | ||||
\(96\) | −9.81893 | − | 14.3945i | −1.00214 | − | 1.46914i | ||||
\(97\) | − | 5.76555i | − | 0.585403i | −0.956204 | − | 0.292701i | \(-0.905446\pi\) | ||
0.956204 | − | 0.292701i | \(-0.0945542\pi\) | |||||||
\(98\) | −3.42907 | + | 9.28663i | −0.346388 | + | 0.938091i | ||||
\(99\) | −21.3087 | −2.14160 | ||||||||
\(100\) | 0.149275 | − | 1.99442i | 0.0149275 | − | 0.199442i | ||||
\(101\) | 5.65852 | − | 9.80085i | 0.563044 | − | 0.975221i | −0.434185 | − | 0.900824i | \(-0.642963\pi\) |
0.997229 | − | 0.0743970i | \(-0.0237032\pi\) | |||||||
\(102\) | 12.2569 | − | 11.3738i | 1.21362 | − | 1.12618i | ||||
\(103\) | 0.346486 | + | 0.600132i | 0.0341403 | + | 0.0591327i | 0.882591 | − | 0.470142i | \(-0.155797\pi\) |
−0.848450 | + | 0.529275i | \(0.822464\pi\) | |||||||
\(104\) | −11.8541 | − | 14.8604i | −1.16239 | − | 1.45718i | ||||
\(105\) | −2.32322 | + | 7.81142i | −0.226723 | + | 0.762317i | ||||
\(106\) | −1.04392 | + | 3.38488i | −0.101395 | + | 0.328769i | ||||
\(107\) | 2.55924 | + | 4.43274i | 0.247411 | + | 0.428529i | 0.962807 | − | 0.270191i | \(-0.0870868\pi\) |
−0.715396 | + | 0.698720i | \(0.753753\pi\) | |||||||
\(108\) | 9.32488 | + | 19.3587i | 0.897287 | + | 1.86279i | ||||
\(109\) | −10.6122 | − | 6.12698i | −1.01647 | − | 0.586858i | −0.103389 | − | 0.994641i | \(-0.532969\pi\) |
−0.913079 | + | 0.407783i | \(0.866302\pi\) | |||||||
\(110\) | 1.03377 | + | 4.52827i | 0.0985659 | + | 0.431753i | ||||
\(111\) | 1.77389 | 0.168370 | ||||||||
\(112\) | 8.68220 | − | 6.05139i | 0.820391 | − | 0.571803i | ||||
\(113\) | −6.58353 | −0.619326 | −0.309663 | − | 0.950846i | \(-0.600216\pi\) | ||||
−0.309663 | + | 0.950846i | \(0.600216\pi\) | |||||||
\(114\) | 0.692474 | + | 3.03328i | 0.0648561 | + | 0.284092i | ||||
\(115\) | −1.09312 | − | 0.631110i | −0.101934 | − | 0.0588514i | ||||
\(116\) | −2.64278 | − | 5.48649i | −0.245376 | − | 0.509408i | ||||
\(117\) | 21.8020 | + | 37.7622i | 2.01560 | + | 3.49112i | ||||
\(118\) | −0.474727 | + | 1.53928i | −0.0437022 | + | 0.141702i | ||||
\(119\) | 6.98265 | + | 7.37445i | 0.640099 | + | 0.676015i | ||||
\(120\) | 6.81077 | − | 5.43296i | 0.621735 | − | 0.495959i | ||||
\(121\) | 0.106534 | + | 0.184523i | 0.00968495 | + | 0.0167748i | ||||
\(122\) | 0.184308 | − | 0.171028i | 0.0166864 | − | 0.0154842i | ||||
\(123\) | −0.355494 | + | 0.615734i | −0.0320538 | + | 0.0555188i | ||||
\(124\) | −0.0100217 | + | 0.133897i | −0.000899975 | + | 0.0120243i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −21.7635 | + | 10.7546i | −1.93884 | + | 0.958093i | ||||
\(127\) | − | 16.4627i | − | 1.46083i | −0.683004 | − | 0.730415i | \(-0.739327\pi\) | ||
0.683004 | − | 0.730415i | \(-0.260673\pi\) | |||||||
\(128\) | −11.3137 | + | 0.00367857i | −1.00000 | + | 0.000325143i | ||||
\(129\) | −26.8442 | − | 15.4985i | −2.36350 | − | 1.36457i | ||||
\(130\) | 6.96708 | − | 6.46511i | 0.611053 | − | 0.567027i | ||||
\(131\) | −0.446341 | + | 0.257695i | −0.0389970 | + | 0.0225149i | −0.519372 | − | 0.854548i | \(-0.673834\pi\) |
0.480375 | + | 0.877063i | \(0.340501\pi\) | |||||||
\(132\) | −11.3962 | + | 16.7185i | −0.991914 | + | 1.45516i | ||||
\(133\) | −1.83797 | + | 0.439114i | −0.159372 | + | 0.0380760i | ||||
\(134\) | −18.7285 | − | 5.77602i | −1.61789 | − | 0.498972i | ||||
\(135\) | −9.30437 | + | 5.37188i | −0.800792 | + | 0.462338i | ||||
\(136\) | −1.61965 | − | 10.7355i | −0.138884 | − | 0.920562i | ||||
\(137\) | 4.22144 | − | 7.31175i | 0.360662 | − | 0.624685i | −0.627408 | − | 0.778691i | \(-0.715884\pi\) |
0.988070 | + | 0.154006i | \(0.0492175\pi\) | |||||||
\(138\) | −1.22376 | − | 5.36049i | −0.104173 | − | 0.456315i | ||||
\(139\) | 19.1037i | 1.62036i | 0.586182 | + | 0.810179i | \(0.300630\pi\) | ||||
−0.586182 | + | 0.810179i | \(0.699370\pi\) | |||||||
\(140\) | 3.34127 | + | 4.10316i | 0.282388 | + | 0.346781i | ||||
\(141\) | 26.0837i | 2.19664i | ||||||||
\(142\) | −16.6442 | + | 3.79974i | −1.39675 | + | 0.318867i | ||||
\(143\) | −11.0367 | + | 19.1161i | −0.922934 | + | 1.59857i | ||||
\(144\) | 25.6627 | + | 3.86315i | 2.13855 | + | 0.321929i | ||||
\(145\) | 2.63697 | − | 1.52246i | 0.218988 | − | 0.126433i | ||||
\(146\) | 1.87566 | − | 6.08174i | 0.155231 | − | 0.503328i | ||||
\(147\) | −9.74644 | − | 19.2332i | −0.803873 | − | 1.58633i | ||||
\(148\) | 0.648732 | − | 0.951705i | 0.0533255 | − | 0.0782297i | ||||
\(149\) | −5.64120 | + | 3.25695i | −0.462145 | + | 0.266820i | −0.712946 | − | 0.701219i | \(-0.752639\pi\) |
0.250801 | + | 0.968039i | \(0.419306\pi\) | |||||||
\(150\) | 2.96307 | + | 3.19313i | 0.241934 | + | 0.260718i | ||||
\(151\) | 6.19052 | + | 3.57410i | 0.503777 | + | 0.290856i | 0.730272 | − | 0.683156i | \(-0.239393\pi\) |
−0.226495 | + | 0.974012i | \(0.572727\pi\) | |||||||
\(152\) | 1.88063 | + | 0.737789i | 0.152539 | + | 0.0598426i | ||||
\(153\) | 24.9042i | 2.01338i | ||||||||
\(154\) | −10.2234 | − | 6.81903i | −0.823825 | − | 0.549493i | ||||
\(155\) | −0.0671359 | −0.00539248 | ||||||||
\(156\) | 41.2879 | + | 3.09024i | 3.30568 | + | 0.247418i | ||||
\(157\) | 11.5674 | − | 20.0353i | 0.923176 | − | 1.59899i | 0.128706 | − | 0.991683i | \(-0.458918\pi\) |
0.794469 | − | 0.607304i | \(-0.207749\pi\) | |||||||
\(158\) | 10.7373 | + | 11.5710i | 0.854217 | + | 0.920541i | ||||
\(159\) | −3.85757 | − | 6.68151i | −0.305926 | − | 0.529879i | ||||
\(160\) | −0.424047 | − | 5.64094i | −0.0335239 | − | 0.445955i | ||||
\(161\) | 3.24811 | − | 0.776015i | 0.255987 | − | 0.0611585i | ||||
\(162\) | −18.4191 | − | 5.68061i | −1.44714 | − | 0.446311i | ||||
\(163\) | −0.415413 | − | 0.719516i | −0.0325376 | − | 0.0563568i | 0.849298 | − | 0.527914i | \(-0.177026\pi\) |
−0.881836 | + | 0.471557i | \(0.843692\pi\) | |||||||
\(164\) | 0.200338 | + | 0.415907i | 0.0156438 | + | 0.0324769i | ||||
\(165\) | −8.76124 | − | 5.05831i | −0.682062 | − | 0.393789i | ||||
\(166\) | 4.47372 | − | 1.02132i | 0.347228 | − | 0.0792695i | ||||
\(167\) | −3.59980 | −0.278561 | −0.139280 | − | 0.990253i | \(-0.544479\pi\) | ||||
−0.139280 | + | 0.990253i | \(0.544479\pi\) | |||||||
\(168\) | −3.20154 | + | 22.8271i | −0.247004 | + | 1.76115i | ||||
\(169\) | 32.1689 | 2.47453 | ||||||||
\(170\) | 5.29233 | − | 1.20820i | 0.405904 | − | 0.0926647i | ||||
\(171\) | −4.01311 | − | 2.31697i | −0.306890 | − | 0.177183i | ||||
\(172\) | −18.1324 | + | 8.73416i | −1.38258 | + | 0.665973i | ||||
\(173\) | −5.28828 | − | 9.15958i | −0.402061 | − | 0.696390i | 0.591914 | − | 0.806001i | \(-0.298373\pi\) |
−0.993974 | + | 0.109612i | \(0.965039\pi\) | |||||||
\(174\) | 12.6749 | + | 3.90905i | 0.960884 | + | 0.296345i | ||||
\(175\) | −1.92117 | + | 1.81910i | −0.145227 | + | 0.137511i | ||||
\(176\) | 4.80190 | + | 12.2284i | 0.361957 | + | 0.921747i | ||||
\(177\) | −1.75424 | − | 3.03844i | −0.131857 | − | 0.228383i | ||||
\(178\) | −14.7898 | − | 15.9381i | −1.10854 | − | 1.19461i | ||||
\(179\) | 9.34059 | − | 16.1784i | 0.698149 | − | 1.20923i | −0.270959 | − | 0.962591i | \(-0.587341\pi\) |
0.969108 | − | 0.246638i | \(-0.0793260\pi\) | |||||||
\(180\) | −0.968488 | + | 12.9397i | −0.0721868 | + | 0.964469i | ||||
\(181\) | −17.3231 | −1.28761 | −0.643807 | − | 0.765188i | \(-0.722646\pi\) | ||||
−0.643807 | + | 0.765188i | \(0.722646\pi\) | |||||||
\(182\) | −1.62426 | + | 25.0943i | −0.120398 | + | 1.86012i | ||||
\(183\) | 0.547644i | 0.0404830i | ||||||||
\(184\) | −3.32349 | − | 1.30384i | −0.245011 | − | 0.0961204i | ||||
\(185\) | 0.498735 | + | 0.287945i | 0.0366677 | + | 0.0211701i | ||||
\(186\) | −0.198928 | − | 0.214374i | −0.0145861 | − | 0.0157187i | ||||
\(187\) | −10.9180 | + | 6.30352i | −0.798405 | + | 0.460959i | ||||
\(188\) | 13.9941 | + | 9.53913i | 1.02063 | + | 0.695713i | ||||
\(189\) | 8.10327 | − | 27.2458i | 0.589426 | − | 1.98184i | ||||
\(190\) | −0.297683 | + | 0.965223i | −0.0215962 | + | 0.0700247i | ||||
\(191\) | 7.26161 | − | 4.19249i | 0.525432 | − | 0.303358i | −0.213722 | − | 0.976894i | \(-0.568559\pi\) |
0.739154 | + | 0.673536i | \(0.235225\pi\) | |||||||
\(192\) | 16.7558 | − | 18.0685i | 1.20924 | − | 1.30398i | ||||
\(193\) | 4.32438 | − | 7.49005i | 0.311276 | − | 0.539146i | −0.667363 | − | 0.744733i | \(-0.732577\pi\) |
0.978639 | + | 0.205587i | \(0.0659103\pi\) | |||||||
\(194\) | 7.94920 | − | 1.81474i | 0.570719 | − | 0.130291i | ||||
\(195\) | 20.7017i | 1.48248i | ||||||||
\(196\) | −13.8832 | − | 1.80477i | −0.991656 | − | 0.128912i | ||||
\(197\) | 9.70322i | 0.691326i | 0.938359 | + | 0.345663i | \(0.112346\pi\) | ||||
−0.938359 | + | 0.345663i | \(0.887654\pi\) | |||||||
\(198\) | −6.70704 | − | 29.3792i | −0.476648 | − | 2.08789i | ||||
\(199\) | −0.189423 | + | 0.328090i | −0.0134278 | + | 0.0232577i | −0.872661 | − | 0.488326i | \(-0.837608\pi\) |
0.859233 | + | 0.511584i | \(0.170941\pi\) | |||||||
\(200\) | 2.79678 | − | 0.421945i | 0.197762 | − | 0.0298360i | ||||
\(201\) | 36.9687 | − | 21.3439i | 2.60757 | − | 1.50548i | ||||
\(202\) | 15.2939 | + | 4.71676i | 1.07607 | + | 0.331870i | ||||
\(203\) | −2.29657 | + | 7.72180i | −0.161187 | + | 0.541964i | ||||
\(204\) | 19.5395 | + | 13.3192i | 1.36804 | + | 0.932527i | ||||
\(205\) | −0.199897 | + | 0.115411i | −0.0139614 | + | 0.00806064i | ||||
\(206\) | −0.718368 | + | 0.666610i | −0.0500511 | + | 0.0464449i | ||||
\(207\) | 7.09208 | + | 4.09461i | 0.492933 | + | 0.284595i | ||||
\(208\) | 16.7574 | − | 21.0212i | 1.16192 | − | 1.45756i | ||||
\(209\) | − | 2.34580i | − | 0.162263i | ||||||
\(210\) | −11.5012 | − | 0.744428i | −0.793657 | − | 0.0513704i | ||||
\(211\) | 1.17567 | 0.0809367 | 0.0404684 | − | 0.999181i | \(-0.487115\pi\) | ||||
0.0404684 | + | 0.999181i | \(0.487115\pi\) | |||||||
\(212\) | −4.99546 | − | 0.373891i | −0.343089 | − | 0.0256789i | ||||
\(213\) | 18.5924 | − | 32.2030i | 1.27393 | − | 2.20651i | ||||
\(214\) | −5.30606 | + | 4.92376i | −0.362715 | + | 0.336582i | ||||
\(215\) | −5.03157 | − | 8.71494i | −0.343150 | − | 0.594354i | ||||
\(216\) | −23.7556 | + | 18.9499i | −1.61636 | + | 1.28938i | ||||
\(217\) | 0.128979 | − | 0.122127i | 0.00875568 | − | 0.00829050i | ||||
\(218\) | 5.10725 | − | 16.5600i | 0.345907 | − | 1.12159i | ||||
\(219\) | 6.93105 | + | 12.0049i | 0.468357 | + | 0.811218i | ||||
\(220\) | −5.91792 | + | 2.85060i | −0.398986 | + | 0.192187i | ||||
\(221\) | 22.3416 | + | 12.8989i | 1.50286 | + | 0.867677i | ||||
\(222\) | 0.558341 | + | 2.44573i | 0.0374734 | + | 0.164147i | ||||
\(223\) | 7.97945 | 0.534343 | 0.267172 | − | 0.963649i | \(-0.413911\pi\) | ||||
0.267172 | + | 0.963649i | \(0.413911\pi\) | |||||||
\(224\) | 11.0761 | + | 10.0658i | 0.740052 | + | 0.672550i | ||||
\(225\) | −6.48795 | −0.432530 | ||||||||
\(226\) | −2.07221 | − | 9.07698i | −0.137841 | − | 0.603792i | ||||
\(227\) | −5.41980 | − | 3.12912i | −0.359725 | − | 0.207687i | 0.309235 | − | 0.950986i | \(-0.399927\pi\) |
−0.668960 | + | 0.743298i | \(0.733260\pi\) | |||||||
\(228\) | −3.96414 | + | 1.90948i | −0.262532 | + | 0.126459i | ||||
\(229\) | 6.97388 | + | 12.0791i | 0.460847 | + | 0.798211i | 0.999003 | − | 0.0446343i | \(-0.0142123\pi\) |
−0.538156 | + | 0.842845i | \(0.680879\pi\) | |||||||
\(230\) | 0.526073 | − | 1.70577i | 0.0346883 | − | 0.112475i | ||||
\(231\) | 26.0334 | − | 6.21971i | 1.71287 | − | 0.409227i | ||||
\(232\) | 6.73263 | − | 5.37062i | 0.442019 | − | 0.352599i | ||||
\(233\) | −0.0277929 | − | 0.0481388i | −0.00182077 | − | 0.00315367i | 0.865114 | − | 0.501576i | \(-0.167246\pi\) |
−0.866934 | + | 0.498422i | \(0.833913\pi\) | |||||||
\(234\) | −45.2020 | + | 41.9453i | −2.95495 | + | 2.74205i | ||||
\(235\) | −4.23402 | + | 7.33354i | −0.276197 | + | 0.478387i | ||||
\(236\) | −2.27170 | − | 0.170028i | −0.147875 | − | 0.0110679i | ||||
\(237\) | −34.3817 | −2.23333 | ||||||||
\(238\) | −7.96963 | + | 11.9484i | −0.516594 | + | 0.774501i | ||||
\(239\) | − | 7.90839i | − | 0.511552i | −0.966736 | − | 0.255776i | \(-0.917669\pi\) | ||
0.966736 | − | 0.255776i | \(-0.0823309\pi\) | |||||||
\(240\) | 9.63438 | + | 7.68023i | 0.621896 | + | 0.495757i | ||||
\(241\) | −11.6219 | − | 6.70993i | −0.748635 | − | 0.432225i | 0.0765652 | − | 0.997065i | \(-0.475605\pi\) |
−0.825201 | + | 0.564840i | \(0.808938\pi\) | |||||||
\(242\) | −0.220877 | + | 0.204963i | −0.0141985 | + | 0.0131755i | ||||
\(243\) | 8.44497 | − | 4.87570i | 0.541745 | − | 0.312777i | ||||
\(244\) | 0.293816 | + | 0.200280i | 0.0188096 | + | 0.0128216i | ||||
\(245\) | 0.381767 | − | 6.98958i | 0.0243902 | − | 0.446548i | ||||
\(246\) | −0.960832 | − | 0.296328i | −0.0612604 | − | 0.0188932i | ||||
\(247\) | −4.15713 | + | 2.40012i | −0.264512 | + | 0.152716i | ||||
\(248\) | −0.187764 | + | 0.0283276i | −0.0119230 | + | 0.00179881i | ||||
\(249\) | −4.99737 | + | 8.65570i | −0.316696 | + | 0.548533i | ||||
\(250\) | 0.314756 | + | 1.37874i | 0.0199069 | + | 0.0871993i | ||||
\(251\) | − | 18.3987i | − | 1.16132i | −0.814148 | − | 0.580658i | \(-0.802795\pi\) | ||
0.814148 | − | 0.580658i | \(-0.197205\pi\) | |||||||
\(252\) | −21.6780 | − | 26.6211i | −1.36558 | − | 1.67697i | ||||
\(253\) | 4.14557i | 0.260630i | ||||||||
\(254\) | 22.6978 | − | 5.18174i | 1.42419 | − | 0.325131i | ||||
\(255\) | −5.91181 | + | 10.2396i | −0.370212 | + | 0.641226i | ||||
\(256\) | −3.56613 | − | 15.5975i | −0.222883 | − | 0.974845i | ||||
\(257\) | −25.9092 | + | 14.9587i | −1.61617 | + | 0.933096i | −0.628271 | + | 0.777995i | \(0.716237\pi\) |
−0.987899 | + | 0.155101i | \(0.950430\pi\) | |||||||
\(258\) | 12.9191 | − | 41.8895i | 0.804306 | − | 2.60792i | ||||
\(259\) | −1.48195 | + | 0.354058i | −0.0920841 | + | 0.0220001i | ||||
\(260\) | 11.1066 | + | 7.57087i | 0.688805 | + | 0.469525i | ||||
\(261\) | −17.1085 | + | 9.87761i | −1.05899 | + | 0.611409i | ||||
\(262\) | −0.495783 | − | 0.534278i | −0.0306296 | − | 0.0330078i | ||||
\(263\) | −17.3117 | − | 9.99491i | −1.06748 | − | 0.616313i | −0.139992 | − | 0.990153i | \(-0.544708\pi\) |
−0.927493 | + | 0.373840i | \(0.878041\pi\) | |||||||
\(264\) | −26.6376 | − | 10.4502i | −1.63943 | − | 0.643165i | ||||
\(265\) | − | 2.50471i | − | 0.153863i | ||||||
\(266\) | −1.18394 | − | 2.39587i | −0.0725918 | − | 0.146900i | ||||
\(267\) | 47.3578 | 2.89825 | ||||||||
\(268\) | 2.06873 | − | 27.6398i | 0.126368 | − | 1.68837i | ||||
\(269\) | −11.9143 | + | 20.6361i | −0.726426 | + | 1.25821i | 0.231958 | + | 0.972726i | \(0.425487\pi\) |
−0.958384 | + | 0.285481i | \(0.907847\pi\) | |||||||
\(270\) | −10.3350 | − | 11.1375i | −0.628970 | − | 0.677806i | ||||
\(271\) | −9.94307 | − | 17.2219i | −0.603999 | − | 1.04616i | −0.992209 | − | 0.124585i | \(-0.960240\pi\) |
0.388210 | − | 0.921571i | \(-0.373093\pi\) | |||||||
\(272\) | 14.2917 | − | 5.61214i | 0.866561 | − | 0.340286i | ||||
\(273\) | −37.6584 | − | 39.7714i | −2.27919 | − | 2.40708i | ||||
\(274\) | 11.4097 | + | 3.51886i | 0.689287 | + | 0.212582i | ||||
\(275\) | −1.64217 | − | 2.84433i | −0.0990268 | − | 0.171519i | ||||
\(276\) | 7.00554 | − | 3.37449i | 0.421684 | − | 0.203121i | ||||
\(277\) | −17.1311 | − | 9.89062i | −1.02931 | − | 0.594270i | −0.112520 | − | 0.993649i | \(-0.535892\pi\) |
−0.916786 | + | 0.399380i | \(0.869226\pi\) | |||||||
\(278\) | −26.3391 | + | 6.01302i | −1.57972 | + | 0.360637i | ||||
\(279\) | 0.435574 | 0.0260771 | ||||||||
\(280\) | −4.60552 | + | 5.89824i | −0.275232 | + | 0.352487i | ||||
\(281\) | −9.91394 | −0.591416 | −0.295708 | − | 0.955278i | \(-0.595556\pi\) | ||||
−0.295708 | + | 0.955278i | \(0.595556\pi\) | |||||||
\(282\) | −35.9627 | + | 8.21000i | −2.14155 | + | 0.488899i | ||||
\(283\) | 23.3509 | + | 13.4816i | 1.38806 | + | 0.801399i | 0.993097 | − | 0.117296i | \(-0.0374225\pi\) |
0.394967 | + | 0.918695i | \(0.370756\pi\) | |||||||
\(284\) | −10.4777 | − | 21.7520i | −0.621738 | − | 1.29075i | ||||
\(285\) | −1.10002 | − | 1.90528i | −0.0651593 | − | 0.112859i | ||||
\(286\) | −29.8300 | − | 9.19983i | −1.76389 | − | 0.543997i | ||||
\(287\) | 0.174093 | − | 0.585356i | 0.0102764 | − | 0.0345525i | ||||
\(288\) | 2.75120 | + | 36.5981i | 0.162116 | + | 2.15656i | ||||
\(289\) | −1.13286 | − | 1.96217i | −0.0666389 | − | 0.115422i | ||||
\(290\) | 2.92908 | + | 3.15650i | 0.172001 | + | 0.185356i | ||||
\(291\) | −8.87967 | + | 15.3800i | −0.520535 | + | 0.901594i | ||||
\(292\) | 8.97552 | + | 0.671784i | 0.525253 | + | 0.0393132i | ||||
\(293\) | −2.04836 | −0.119666 | −0.0598332 | − | 0.998208i | \(-0.519057\pi\) | ||||
−0.0598332 | + | 0.998208i | \(0.519057\pi\) | |||||||
\(294\) | 23.4499 | − | 19.4916i | 1.36762 | − | 1.13677i | ||||
\(295\) | − | 1.13902i | − | 0.0663166i | ||||||
\(296\) | 1.51635 | + | 0.594879i | 0.0881359 | + | 0.0345766i | ||||
\(297\) | 30.5588 | + | 17.6431i | 1.77320 | + | 1.02376i | ||||
\(298\) | −6.26609 | − | 6.75261i | −0.362985 | − | 0.391168i | ||||
\(299\) | 7.34659 | − | 4.24156i | 0.424864 | − | 0.245295i | ||||
\(300\) | −3.46986 | + | 5.09037i | −0.200333 | + | 0.293893i | ||||
\(301\) | 25.5198 | + | 7.58993i | 1.47094 | + | 0.437477i | ||||
\(302\) | −2.97925 | + | 9.66010i | −0.171437 | + | 0.555876i | ||||
\(303\) | −30.1891 | + | 17.4297i | −1.73432 | + | 1.00131i | ||||
\(304\) | −0.425282 | + | 2.82512i | −0.0243916 | + | 0.162032i | ||||
\(305\) | −0.0888960 | + | 0.153972i | −0.00509017 | + | 0.00881644i | ||||
\(306\) | −34.3364 | + | 7.83874i | −1.96288 | + | 0.448111i | ||||
\(307\) | 7.59189i | 0.433292i | 0.976250 | + | 0.216646i | \(0.0695118\pi\) | ||||
−0.976250 | + | 0.216646i | \(0.930488\pi\) | |||||||
\(308\) | 6.18380 | − | 16.2418i | 0.352355 | − | 0.925460i | ||||
\(309\) | − | 2.13453i | − | 0.121429i | ||||||
\(310\) | −0.0211314 | − | 0.0925630i | −0.00120018 | − | 0.00525723i | ||||
\(311\) | 8.84137 | − | 15.3137i | 0.501348 | − | 0.868360i | −0.498651 | − | 0.866803i | \(-0.666171\pi\) |
0.999999 | − | 0.00155721i | \(-0.000495675\pi\) | |||||||
\(312\) | 8.73497 | + | 57.8980i | 0.494521 | + | 3.27783i | ||||
\(313\) | 11.5543 | − | 6.67087i | 0.653087 | − | 0.377060i | −0.136551 | − | 0.990633i | \(-0.543602\pi\) |
0.789638 | + | 0.613573i | \(0.210268\pi\) | |||||||
\(314\) | 31.2643 | + | 9.64218i | 1.76435 | + | 0.544140i | ||||
\(315\) | 12.4644 | − | 11.8022i | 0.702291 | − | 0.664979i | ||||
\(316\) | −12.5738 | + | 18.4461i | −0.707332 | + | 1.03767i | ||||
\(317\) | 1.03929 | − | 0.600036i | 0.0583725 | − | 0.0337014i | −0.470530 | − | 0.882384i | \(-0.655937\pi\) |
0.528902 | + | 0.848683i | \(0.322604\pi\) | |||||||
\(318\) | 7.99789 | − | 7.42165i | 0.448499 | − | 0.416185i | ||||
\(319\) | −8.66072 | − | 5.00027i | −0.484907 | − | 0.279961i | ||||
\(320\) | 7.64392 | − | 2.36017i | 0.427308 | − | 0.131938i | ||||
\(321\) | − | 15.7662i | − | 0.879984i | ||||||
\(322\) | 2.09229 | + | 4.23405i | 0.116599 | + | 0.235954i | ||||
\(323\) | −2.74162 | −0.152548 | ||||||||
\(324\) | 2.03456 | − | 27.1832i | 0.113031 | − | 1.51018i | ||||
\(325\) | −3.36039 | + | 5.82037i | −0.186401 | + | 0.322856i | ||||
\(326\) | 0.861273 | − | 0.799219i | 0.0477015 | − | 0.0442646i | ||||
\(327\) | 18.8726 | + | 32.6884i | 1.04366 | + | 1.80767i | ||||
\(328\) | −0.510371 | + | 0.407124i | −0.0281805 | + | 0.0224796i | ||||
\(329\) | −5.20616 | − | 21.7910i | −0.287025 | − | 1.20138i | ||||
\(330\) | 4.21644 | − | 13.6716i | 0.232107 | − | 0.752598i | ||||
\(331\) | −3.01312 | − | 5.21888i | −0.165616 | − | 0.286856i | 0.771258 | − | 0.636523i | \(-0.219628\pi\) |
−0.936874 | + | 0.349667i | \(0.886295\pi\) | |||||||
\(332\) | 2.81626 | + | 5.84664i | 0.154562 | + | 0.320876i | ||||
\(333\) | −3.23577 | − | 1.86817i | −0.177319 | − | 0.102375i | ||||
\(334\) | −1.13306 | − | 4.96319i | −0.0619982 | − | 0.271574i | ||||
\(335\) | 13.8585 | 0.757173 | ||||||||
\(336\) | −32.4803 | + | 2.77086i | −1.77195 | + | 0.151163i | ||||
\(337\) | −17.3124 | −0.943069 | −0.471534 | − | 0.881848i | \(-0.656300\pi\) | ||||
−0.471534 | + | 0.881848i | \(0.656300\pi\) | |||||||
\(338\) | 10.1254 | + | 44.3526i | 0.550747 | + | 2.41246i | ||||
\(339\) | 17.5621 | + | 10.1395i | 0.953840 | + | 0.550700i | ||||
\(340\) | 3.33159 | + | 6.91647i | 0.180681 | + | 0.375098i | ||||
\(341\) | 0.110249 | + | 0.190956i | 0.00597030 | + | 0.0103409i | ||||
\(342\) | 1.93135 | − | 6.26232i | 0.104436 | − | 0.338627i | ||||
\(343\) | 11.9813 | + | 14.1226i | 0.646929 | + | 0.762550i | ||||
\(344\) | −17.7494 | − | 22.2507i | −0.956984 | − | 1.19968i | ||||
\(345\) | 1.94398 | + | 3.36707i | 0.104660 | + | 0.181277i | ||||
\(346\) | 10.9642 | − | 10.1742i | 0.589437 | − | 0.546969i | ||||
\(347\) | −2.07692 | + | 3.59734i | −0.111495 | + | 0.193115i | −0.916373 | − | 0.400325i | \(-0.868897\pi\) |
0.804878 | + | 0.593440i | \(0.202231\pi\) | |||||||
\(348\) | −1.40006 | + | 18.7059i | −0.0750512 | + | 1.00274i | ||||
\(349\) | −12.1023 | −0.647823 | −0.323912 | − | 0.946087i | \(-0.604998\pi\) | ||||
−0.323912 | + | 0.946087i | \(0.604998\pi\) | |||||||
\(350\) | −3.11276 | − | 2.07622i | −0.166384 | − | 0.110979i | ||||
\(351\) | − | 72.2064i | − | 3.85409i | ||||||
\(352\) | −15.3483 | + | 10.4695i | −0.818068 | + | 0.558028i | ||||
\(353\) | 10.4647 | + | 6.04182i | 0.556982 | + | 0.321573i | 0.751933 | − | 0.659239i | \(-0.229122\pi\) |
−0.194952 | + | 0.980813i | \(0.562455\pi\) | |||||||
\(354\) | 3.63706 | − | 3.37501i | 0.193308 | − | 0.179380i | ||||
\(355\) | 10.4547 | − | 6.03601i | 0.554876 | − | 0.320358i | ||||
\(356\) | 17.3193 | − | 25.4079i | 0.917922 | − | 1.34661i | ||||
\(357\) | −7.26918 | − | 30.4261i | −0.384726 | − | 1.61032i | ||||
\(358\) | 25.2458 | + | 7.78602i | 1.33428 | + | 0.411504i | ||||
\(359\) | 8.88907 | − | 5.13211i | 0.469147 | − | 0.270862i | −0.246735 | − | 0.969083i | \(-0.579358\pi\) |
0.715883 | + | 0.698221i | \(0.246025\pi\) | |||||||
\(360\) | −18.1453 | + | 2.73756i | −0.956344 | + | 0.144282i | ||||
\(361\) | −9.24493 | + | 16.0127i | −0.486575 | + | 0.842773i | ||||
\(362\) | −5.45254 | − | 23.8840i | −0.286579 | − | 1.25532i | ||||
\(363\) | − | 0.656306i | − | 0.0344471i | ||||||
\(364\) | −35.1099 | + | 5.65916i | −1.84026 | + | 0.296621i | ||||
\(365\) | 4.50031i | 0.235557i | ||||||||
\(366\) | −0.755060 | + | 0.172374i | −0.0394676 | + | 0.00901015i | ||||
\(367\) | −9.27079 | + | 16.0575i | −0.483931 | + | 0.838194i | −0.999830 | − | 0.0184562i | \(-0.994125\pi\) |
0.515898 | + | 0.856650i | \(0.327458\pi\) | |||||||
\(368\) | 0.751569 | − | 4.99263i | 0.0391783 | − | 0.260259i | ||||
\(369\) | 1.29692 | − | 0.748779i | 0.0675151 | − | 0.0389799i | ||||
\(370\) | −0.240022 | + | 0.778259i | −0.0124781 | + | 0.0404598i | ||||
\(371\) | 4.55632 | + | 4.81197i | 0.236552 | + | 0.249825i | ||||
\(372\) | 0.232952 | − | 0.341746i | 0.0120780 | − | 0.0177187i | ||||
\(373\) | 23.0707 | − | 13.3199i | 1.19456 | − | 0.689677i | 0.235219 | − | 0.971942i | \(-0.424419\pi\) |
0.959336 | + | 0.282266i | \(0.0910860\pi\) | |||||||
\(374\) | −12.1274 | − | 13.0691i | −0.627095 | − | 0.675785i | ||||
\(375\) | −2.66758 | − | 1.54013i | −0.137753 | − | 0.0795317i | ||||
\(376\) | −8.74726 | + | 22.2968i | −0.451106 | + | 1.14987i | ||||
\(377\) | 20.4642i | 1.05396i | ||||||||
\(378\) | 40.1155 | + | 2.59653i | 2.06332 | + | 0.133551i | ||||
\(379\) | −24.7032 | −1.26892 | −0.634459 | − | 0.772956i | \(-0.718777\pi\) | ||||
−0.634459 | + | 0.772956i | \(0.718777\pi\) | |||||||
\(380\) | −1.42449 | − | 0.106618i | −0.0730749 | − | 0.00546938i | ||||
\(381\) | −25.3546 | + | 43.9155i | −1.29896 | + | 2.24986i | ||||
\(382\) | 8.06600 | + | 8.69227i | 0.412693 | + | 0.444735i | ||||
\(383\) | 9.52490 | + | 16.4976i | 0.486700 | + | 0.842989i | 0.999883 | − | 0.0152904i | \(-0.00486727\pi\) |
−0.513183 | + | 0.858279i | \(0.671534\pi\) | |||||||
\(384\) | 30.1858 | + | 17.4147i | 1.54041 | + | 0.888691i | ||||
\(385\) | 8.32900 | + | 2.47716i | 0.424485 | + | 0.126248i | ||||
\(386\) | 11.6880 | + | 3.60467i | 0.594902 | + | 0.183473i | ||||
\(387\) | 32.6446 | + | 56.5421i | 1.65942 | + | 2.87420i | ||||
\(388\) | 5.00412 | + | 10.3887i | 0.254046 | + | 0.527406i | ||||
\(389\) | 26.6121 | + | 15.3645i | 1.34929 | + | 0.779010i | 0.988148 | − | 0.153502i | \(-0.0490553\pi\) |
0.361137 | + | 0.932513i | \(0.382389\pi\) | |||||||
\(390\) | −28.5423 | + | 6.51599i | −1.44530 | + | 0.329950i | ||||
\(391\) | 4.84507 | 0.245026 | ||||||||
\(392\) | −1.88150 | − | 19.7094i | −0.0950301 | − | 0.995474i | ||||
\(393\) | 1.58753 | 0.0800803 | ||||||||
\(394\) | −13.3782 | + | 3.05415i | −0.673986 | + | 0.153866i | ||||
\(395\) | −9.66655 | − | 5.58099i | −0.486377 | − | 0.280810i | ||||
\(396\) | 38.3952 | − | 18.4945i | 1.92943 | − | 0.929385i | ||||
\(397\) | −14.3388 | − | 24.8356i | −0.719646 | − | 1.24646i | −0.961140 | − | 0.276061i | \(-0.910971\pi\) |
0.241494 | − | 0.970402i | \(-0.422363\pi\) | |||||||
\(398\) | −0.511974 | − | 0.157897i | −0.0256629 | − | 0.00791466i | ||||
\(399\) | 5.57921 | + | 1.65933i | 0.279310 | + | 0.0830705i | ||||
\(400\) | 1.46206 | + | 3.72322i | 0.0731028 | + | 0.186161i | ||||
\(401\) | −3.59148 | − | 6.22063i | −0.179350 | − | 0.310643i | 0.762308 | − | 0.647214i | \(-0.224066\pi\) |
−0.941658 | + | 0.336571i | \(0.890733\pi\) | |||||||
\(402\) | 41.0639 | + | 44.2522i | 2.04808 | + | 2.20710i | ||||
\(403\) | 0.225603 | − | 0.390755i | 0.0112381 | − | 0.0194649i | ||||
\(404\) | −1.68935 | + | 22.5710i | −0.0840484 | + | 1.12295i | ||||
\(405\) | 13.6296 | 0.677262 | ||||||||
\(406\) | −11.3692 | − | 0.735887i | −0.564245 | − | 0.0365215i | ||||
\(407\) | − | 1.89142i | − | 0.0937543i | ||||||
\(408\) | −12.2135 | + | 31.1322i | −0.604658 | + | 1.54127i | ||||
\(409\) | −13.5732 | − | 7.83652i | −0.671154 | − | 0.387491i | 0.125360 | − | 0.992111i | \(-0.459991\pi\) |
−0.796514 | + | 0.604620i | \(0.793325\pi\) | |||||||
\(410\) | −0.222040 | − | 0.239280i | −0.0109658 | − | 0.0118172i | ||||
\(411\) | −22.5220 | + | 13.0031i | −1.11093 | + | 0.641395i | ||||
\(412\) | −1.14519 | − | 0.780624i | −0.0564197 | − | 0.0384586i | ||||
\(413\) | 2.07200 | + | 2.18826i | 0.101956 | + | 0.107677i | ||||
\(414\) | −3.41314 | + | 11.0669i | −0.167747 | + | 0.543911i | ||||
\(415\) | −2.81006 | + | 1.62239i | −0.137941 | + | 0.0796401i | ||||
\(416\) | 34.2573 | + | 16.4876i | 1.67960 | + | 0.808373i | ||||
\(417\) | 29.4222 | − | 50.9607i | 1.44081 | − | 2.49556i | ||||
\(418\) | 3.23426 | − | 0.738356i | 0.158193 | − | 0.0361142i | ||||
\(419\) | − | 36.8405i | − | 1.79978i | −0.436122 | − | 0.899888i | \(-0.643648\pi\) | ||
0.436122 | − | 0.899888i | \(-0.356352\pi\) | |||||||
\(420\) | −2.59369 | − | 16.0915i | −0.126559 | − | 0.785183i | ||||
\(421\) | 8.37624i | 0.408233i | 0.978947 | + | 0.204116i | \(0.0654321\pi\) | ||||
−0.978947 | + | 0.204116i | \(0.934568\pi\) | |||||||
\(422\) | 0.370051 | + | 1.62095i | 0.0180138 | + | 0.0789066i | ||||
\(423\) | 27.4701 | − | 47.5796i | 1.33564 | − | 2.31340i | ||||
\(424\) | −1.05685 | − | 7.00513i | −0.0513252 | − | 0.340199i | ||||
\(425\) | −3.32426 | + | 1.91926i | −0.161250 | + | 0.0930979i | ||||
\(426\) | 50.2517 | + | 15.4980i | 2.43470 | + | 0.750883i | ||||
\(427\) | −0.109307 | − | 0.457517i | −0.00528972 | − | 0.0221408i | ||||
\(428\) | −8.45871 | − | 5.76590i | −0.408867 | − | 0.278705i | ||||
\(429\) | 58.8824 | − | 33.9958i | 2.84287 | − | 1.64133i | ||||
\(430\) | 10.4319 | − | 9.68032i | 0.503072 | − | 0.466826i | ||||
\(431\) | −20.5648 | − | 11.8731i | −0.990570 | − | 0.571906i | −0.0851256 | − | 0.996370i | \(-0.527129\pi\) |
−0.905445 | + | 0.424464i | \(0.860462\pi\) | |||||||
\(432\) | −33.6042 | − | 26.7882i | −1.61678 | − | 1.28885i | ||||
\(433\) | − | 6.49599i | − | 0.312177i | −0.987743 | − | 0.156089i | \(-0.950111\pi\) | ||
0.987743 | − | 0.156089i | \(-0.0498885\pi\) | |||||||
\(434\) | 0.208978 | + | 0.139389i | 0.0100313 | + | 0.00669088i | ||||
\(435\) | −9.37909 | −0.449693 | ||||||||
\(436\) | 24.4396 | + | 1.82921i | 1.17044 | + | 0.0876032i | ||||
\(437\) | −0.450763 | + | 0.780744i | −0.0215629 | + | 0.0373481i | ||||
\(438\) | −14.3701 | + | 13.3348i | −0.686630 | + | 0.637159i | ||||
\(439\) | 11.0256 | + | 19.0969i | 0.526223 | + | 0.911444i | 0.999533 | + | 0.0305486i | \(0.00972544\pi\) |
−0.473311 | + | 0.880896i | \(0.656941\pi\) | |||||||
\(440\) | −5.79294 | − | 7.26204i | −0.276168 | − | 0.346204i | ||||
\(441\) | −2.47689 | + | 45.3480i | −0.117947 | + | 2.15943i | ||||
\(442\) | −10.7521 | + | 34.8634i | −0.511427 | + | 1.65828i | ||||
\(443\) | −2.81959 | − | 4.88367i | −0.133963 | − | 0.232030i | 0.791238 | − | 0.611508i | \(-0.209437\pi\) |
−0.925201 | + | 0.379478i | \(0.876104\pi\) | |||||||
\(444\) | −3.19629 | + | 1.53962i | −0.151689 | + | 0.0730670i | ||||
\(445\) | 13.3148 | + | 7.68732i | 0.631183 | + | 0.364414i | ||||
\(446\) | 2.51158 | + | 11.0016i | 0.118927 | + | 0.520941i | ||||
\(447\) | 20.0644 | 0.949015 | ||||||||
\(448\) | −10.3919 | + | 18.4393i | −0.490970 | + | 0.871177i | ||||
\(449\) | 16.7623 | 0.791063 | 0.395531 | − | 0.918452i | \(-0.370560\pi\) | ||||
0.395531 | + | 0.918452i | \(0.370560\pi\) | |||||||
\(450\) | −2.04212 | − | 8.94520i | −0.0962665 | − | 0.421681i | ||||
\(451\) | 0.656532 | + | 0.379049i | 0.0309149 | + | 0.0178487i | ||||
\(452\) | 11.8626 | − | 5.71407i | 0.557969 | − | 0.268767i | ||||
\(453\) | −11.0091 | − | 19.0684i | −0.517254 | − | 0.895910i | ||||
\(454\) | 2.60834 | − | 8.45742i | 0.122415 | − | 0.396926i | ||||
\(455\) | −4.13194 | − | 17.2948i | −0.193709 | − | 0.810792i | ||||
\(456\) | −3.88042 | − | 4.86451i | −0.181718 | − | 0.227801i | ||||
\(457\) | −7.58737 | − | 13.1417i | −0.354922 | − | 0.614744i | 0.632182 | − | 0.774820i | \(-0.282159\pi\) |
−0.987105 | + | 0.160076i | \(0.948826\pi\) | |||||||
\(458\) | −14.4589 | + | 13.4172i | −0.675621 | + | 0.626943i | ||||
\(459\) | 20.6201 | − | 35.7150i | 0.962463 | − | 1.66704i | ||||
\(460\) | 2.51740 | + | 0.188418i | 0.117374 | + | 0.00878503i | ||||
\(461\) | −28.7740 | −1.34014 | −0.670070 | − | 0.742298i | \(-0.733736\pi\) | ||||
−0.670070 | + | 0.742298i | \(0.733736\pi\) | |||||||
\(462\) | 16.7695 | + | 33.9356i | 0.780189 | + | 1.57883i | ||||
\(463\) | 34.4369i | 1.60042i | 0.599720 | + | 0.800210i | \(0.295279\pi\) | ||||
−0.599720 | + | 0.800210i | \(0.704721\pi\) | |||||||
\(464\) | 9.52384 | + | 7.59211i | 0.442133 | + | 0.352455i | ||||
\(465\) | 0.179090 | + | 0.103398i | 0.00830510 | + | 0.00479495i | ||||
\(466\) | 0.0576229 | − | 0.0534712i | 0.00266933 | − | 0.00247701i | ||||
\(467\) | 15.9360 | − | 9.20065i | 0.737430 | − | 0.425755i | −0.0837042 | − | 0.996491i | \(-0.526675\pi\) |
0.821134 | + | 0.570735i | \(0.193342\pi\) | |||||||
\(468\) | −72.0593 | − | 49.1194i | −3.33094 | − | 2.27055i | ||||
\(469\) | −26.6246 | + | 25.2100i | −1.22941 | + | 1.16409i | ||||
\(470\) | −11.4437 | − | 3.52934i | −0.527860 | − | 0.162796i | ||||
\(471\) | −61.7136 | + | 35.6304i | −2.84361 | + | 1.64176i | ||||
\(472\) | −0.480606 | − | 3.18560i | −0.0221217 | − | 0.146629i | ||||
\(473\) | −16.5254 | + | 28.6229i | −0.759840 | + | 1.31608i | ||||
\(474\) | −10.8218 | − | 47.4034i | −0.497064 | − | 2.17731i | ||||
\(475\) | − | 0.714238i | − | 0.0327715i | ||||||
\(476\) | −18.9823 | − | 7.22722i | −0.870052 | − | 0.331259i | ||||
\(477\) | 16.2505i | 0.744057i | ||||||||
\(478\) | 10.9036 | − | 2.48922i | 0.498721 | − | 0.113854i | ||||
\(479\) | −11.9755 | + | 20.7422i | −0.547175 | + | 0.947735i | 0.451292 | + | 0.892377i | \(0.350963\pi\) |
−0.998467 | + | 0.0553583i | \(0.982370\pi\) | |||||||
\(480\) | −7.55658 | + | 15.7007i | −0.344909 | + | 0.716636i | ||||
\(481\) | −3.35189 | + | 1.93521i | −0.152833 | + | 0.0882382i | ||||
\(482\) | 5.59319 | − | 18.1357i | 0.254763 | − | 0.826056i | ||||
\(483\) | −9.85974 | − | 2.93242i | −0.448634 | − | 0.133430i | ||||
\(484\) | −0.352114 | − | 0.240019i | −0.0160052 | − | 0.0109100i | ||||
\(485\) | −4.99311 | + | 2.88277i | −0.226726 | + | 0.130900i | ||||
\(486\) | 9.38044 | + | 10.1088i | 0.425505 | + | 0.458543i | ||||
\(487\) | −21.5404 | − | 12.4364i | −0.976089 | − | 0.563545i | −0.0750017 | − | 0.997183i | \(-0.523896\pi\) |
−0.901087 | + | 0.433638i | \(0.857230\pi\) | |||||||
\(488\) | −0.183654 | + | 0.468136i | −0.00831365 | + | 0.0211915i | ||||
\(489\) | 2.55915i | 0.115729i | ||||||||
\(490\) | 9.75699 | − | 1.67366i | 0.440776 | − | 0.0756080i | ||||
\(491\) | −14.2945 | −0.645102 | −0.322551 | − | 0.946552i | \(-0.604540\pi\) | ||||
−0.322551 | + | 0.946552i | \(0.604540\pi\) | |||||||
\(492\) | 0.106133 | − | 1.41801i | 0.00478483 | − | 0.0639288i | ||||
\(493\) | −5.84398 | + | 10.1221i | −0.263200 | + | 0.455875i | ||||
\(494\) | −4.61762 | − | 4.97615i | −0.207757 | − | 0.223888i | ||||
\(495\) | 10.6543 | + | 18.4538i | 0.478877 | + | 0.829439i | ||||
\(496\) | −0.0981564 | − | 0.249962i | −0.00440735 | − | 0.0112236i | ||||
\(497\) | −9.10508 | + | 30.6142i | −0.408419 | + | 1.37324i | ||||
\(498\) | −13.5069 | − | 4.16565i | −0.605260 | − | 0.186667i | ||||
\(499\) | 0.248745 | + | 0.430838i | 0.0111353 | + | 0.0192870i | 0.871539 | − | 0.490326i | \(-0.163122\pi\) |
−0.860404 | + | 0.509612i | \(0.829789\pi\) | |||||||
\(500\) | −1.80186 | + | 0.867935i | −0.0805815 | + | 0.0388152i | ||||
\(501\) | 9.60274 | + | 5.54414i | 0.429019 | + | 0.247694i | ||||
\(502\) | 25.3671 | − | 5.79111i | 1.13219 | − | 0.258470i | ||||
\(503\) | −14.1052 | −0.628918 | −0.314459 | − | 0.949271i | \(-0.601823\pi\) | ||||
−0.314459 | + | 0.949271i | \(0.601823\pi\) | |||||||
\(504\) | 29.8804 | − | 38.2675i | 1.33098 | − | 1.70457i | ||||
\(505\) | −11.3170 | −0.503602 | ||||||||
\(506\) | −5.71567 | + | 1.30484i | −0.254093 | + | 0.0580074i | ||||
\(507\) | −85.8130 | − | 49.5441i | −3.81109 | − | 2.20033i | ||||
\(508\) | 14.2886 | + | 29.6635i | 0.633952 | + | 1.31610i | ||||
\(509\) | −13.9373 | − | 24.1401i | −0.617760 | − | 1.06999i | −0.989894 | − | 0.141813i | \(-0.954707\pi\) |
0.372133 | − | 0.928179i | \(-0.378626\pi\) | |||||||
\(510\) | −15.9785 | − | 4.92790i | −0.707539 | − | 0.218211i | ||||
\(511\) | −8.18651 | − | 8.64586i | −0.362150 | − | 0.382470i | ||||
\(512\) | 20.3825 | − | 9.82619i | 0.900787 | − | 0.434260i | ||||
\(513\) | 3.83680 | + | 6.64553i | 0.169399 | + | 0.293407i | ||||
\(514\) | −28.7792 | − | 31.0137i | −1.26940 | − | 1.36796i | ||||
\(515\) | 0.346486 | − | 0.600132i | 0.0152680 | − | 0.0264450i | ||||
\(516\) | 61.8211 | + | 4.62708i | 2.72152 | + | 0.203696i | ||||
\(517\) | 27.8120 | 1.22317 | ||||||||
\(518\) | −0.954608 | − | 1.93179i | −0.0419431 | − | 0.0848780i | ||||
\(519\) | 32.5785i | 1.43004i | ||||||||
\(520\) | −6.94239 | + | 17.6962i | −0.304444 | + | 0.776028i | ||||
\(521\) | 14.0644 | + | 8.12006i | 0.616171 | + | 0.355746i | 0.775377 | − | 0.631499i | \(-0.217560\pi\) |
−0.159206 | + | 0.987245i | \(0.550893\pi\) | |||||||
\(522\) | −19.0037 | − | 20.4792i | −0.831769 | − | 0.896350i | ||||
\(523\) | −3.56646 | + | 2.05910i | −0.155950 | + | 0.0900380i | −0.575944 | − | 0.817489i | \(-0.695366\pi\) |
0.419994 | + | 0.907527i | \(0.362032\pi\) | |||||||
\(524\) | 0.580580 | − | 0.851724i | 0.0253628 | − | 0.0372078i | ||||
\(525\) | 7.92650 | − | 1.89374i | 0.345941 | − | 0.0826497i | ||||
\(526\) | 8.33144 | − | 27.0143i | 0.363268 | − | 1.17788i | ||||
\(527\) | 0.223177 | − | 0.128851i | 0.00972175 | − | 0.00561285i | ||||
\(528\) | 6.02378 | − | 40.0156i | 0.262151 | − | 1.74146i | ||||
\(529\) | −10.7034 | + | 18.5388i | −0.465365 | + | 0.806036i | ||||
\(530\) | 3.45335 | − | 0.788374i | 0.150004 | − | 0.0342448i | ||||
\(531\) | 7.38993i | 0.320696i | ||||||||
\(532\) | 2.93063 | − | 2.38646i | 0.127059 | − | 0.103466i | ||||
\(533\) | − | 1.55130i | − | 0.0671943i | ||||||
\(534\) | 14.9061 | + | 65.2941i | 0.645052 | + | 2.82555i | ||||
\(535\) | 2.55924 | − | 4.43274i | 0.110646 | − | 0.191644i | ||||
\(536\) | 38.7593 | − | 5.84754i | 1.67415 | − | 0.252575i | ||||
\(537\) | −49.8335 | + | 28.7714i | −2.15047 | + | 1.24158i | ||||
\(538\) | −32.2020 | − | 9.93135i | −1.38833 | − | 0.428171i | ||||
\(539\) | −20.5076 | + | 10.3922i | −0.883324 | + | 0.447625i | ||||
\(540\) | 12.1027 | − | 17.7549i | 0.520817 | − | 0.764051i | ||||
\(541\) | 5.94834 | − | 3.43428i | 0.255739 | − | 0.147651i | −0.366650 | − | 0.930359i | \(-0.619495\pi\) |
0.622389 | + | 0.782708i | \(0.286162\pi\) | |||||||
\(542\) | 20.6149 | − | 19.1296i | 0.885486 | − | 0.821688i | ||||
\(543\) | 46.2106 | + | 26.6797i | 1.98309 | + | 1.14494i | ||||
\(544\) | 12.2361 | + | 17.9381i | 0.524618 | + | 0.769089i | ||||
\(545\) | 12.2540i | 0.524902i | ||||||||
\(546\) | 42.9813 | − | 64.4395i | 1.83943 | − | 2.75776i | ||||
\(547\) | −25.9783 | −1.11075 | −0.555376 | − | 0.831599i | \(-0.687426\pi\) | ||||
−0.555376 | + | 0.831599i | \(0.687426\pi\) | |||||||
\(548\) | −1.26031 | + | 16.8387i | −0.0538378 | + | 0.719312i | ||||
\(549\) | 0.576753 | − | 0.998965i | 0.0246152 | − | 0.0426348i | ||||
\(550\) | 3.40471 | − | 3.15940i | 0.145177 | − | 0.134717i | ||||
\(551\) | −1.08740 | − | 1.88342i | −0.0463246 | − | 0.0802365i | ||||
\(552\) | 6.85759 | + | 8.59669i | 0.291879 | + | 0.365900i | ||||
\(553\) | 28.7234 | − | 6.86239i | 1.22144 | − | 0.291819i | ||||
\(554\) | 8.24450 | − | 26.7324i | 0.350275 | − | 1.13575i | ||||
\(555\) | −0.886943 | − | 1.53623i | −0.0376486 | − | 0.0652093i | ||||
\(556\) | −16.5808 | − | 34.4222i | −0.703183 | − | 1.45983i | ||||
\(557\) | 6.50339 | + | 3.75473i | 0.275557 | + | 0.159093i | 0.631410 | − | 0.775449i | \(-0.282476\pi\) |
−0.355853 | + | 0.934542i | \(0.615810\pi\) | |||||||
\(558\) | 0.137100 | + | 0.600544i | 0.00580389 | + | 0.0254231i | ||||
\(559\) | 67.6322 | 2.86054 | ||||||||
\(560\) | −9.58176 | − | 4.49331i | −0.404903 | − | 0.189877i | ||||
\(561\) | 38.8329 | 1.63953 | ||||||||
\(562\) | −3.12047 | − | 13.6688i | −0.131629 | − | 0.576582i | ||||
\(563\) | 25.3072 | + | 14.6111i | 1.06657 | + | 0.615786i | 0.927243 | − | 0.374460i | \(-0.122172\pi\) |
0.139329 | + | 0.990246i | \(0.455505\pi\) | |||||||
\(564\) | −22.6389 | − | 46.9991i | −0.953272 | − | 1.97902i | ||||
\(565\) | 3.29176 | + | 5.70150i | 0.138486 | + | 0.239864i | ||||
\(566\) | −11.2379 | + | 36.4382i | −0.472362 | + | 1.53161i | ||||
\(567\) | −26.1848 | + | 24.7936i | −1.09966 | + | 1.04123i | ||||
\(568\) | 26.6925 | − | 21.2927i | 1.11999 | − | 0.893420i | ||||
\(569\) | 21.0499 | + | 36.4596i | 0.882460 | + | 1.52847i | 0.848598 | + | 0.529039i | \(0.177447\pi\) |
0.0338620 | + | 0.999427i | \(0.489219\pi\) | |||||||
\(570\) | 2.28066 | − | 2.11634i | 0.0955262 | − | 0.0886436i | ||||
\(571\) | −13.3062 | + | 23.0470i | −0.556846 | + | 0.964485i | 0.440911 | + | 0.897551i | \(0.354655\pi\) |
−0.997757 | + | 0.0669348i | \(0.978678\pi\) | |||||||
\(572\) | 3.29500 | − | 44.0236i | 0.137771 | − | 1.84072i | ||||
\(573\) | −25.8279 | −1.07897 | ||||||||
\(574\) | 0.861851 | + | 0.0557844i | 0.0359730 | + | 0.00232840i | ||||
\(575\) | 1.26222i | 0.0526382i | ||||||||
\(576\) | −49.5934 | + | 15.3127i | −2.06639 | + | 0.638028i | ||||
\(577\) | 25.7918 | + | 14.8909i | 1.07373 | + | 0.619916i | 0.929197 | − | 0.369585i | \(-0.120500\pi\) |
0.144528 | + | 0.989501i | \(0.453833\pi\) | |||||||
\(578\) | 2.34876 | − | 2.17953i | 0.0976954 | − | 0.0906565i | ||||
\(579\) | −23.0712 | + | 13.3202i | −0.958808 | + | 0.553568i | ||||
\(580\) | −3.43005 | + | 5.03197i | −0.142425 | + | 0.208941i | ||||
\(581\) | 2.44732 | − | 8.22867i | 0.101532 | − | 0.341383i | ||||
\(582\) | −24.0000 | − | 7.40181i | −0.994833 | − | 0.306815i | ||||
\(583\) | −7.12423 | + | 4.11317i | −0.295055 | + | 0.170350i | ||||
\(584\) | 1.89888 | + | 12.5864i | 0.0785764 | + | 0.520828i | ||||
\(585\) | 21.8020 | − | 37.7622i | 0.901403 | − | 1.56128i | ||||
\(586\) | −0.644733 | − | 2.82416i | −0.0266337 | − | 0.116665i | ||||
\(587\) | − | 25.4403i | − | 1.05003i | −0.851092 | − | 0.525017i | \(-0.824059\pi\) | ||
0.851092 | − | 0.525017i | \(-0.175941\pi\) | |||||||
\(588\) | 34.2549 | + | 26.1962i | 1.41265 | + | 1.08031i | ||||
\(589\) | 0.0479510i | 0.00197579i | ||||||||
\(590\) | 1.57042 | − | 0.358515i | 0.0646532 | − | 0.0147598i | ||||
\(591\) | 14.9442 | − | 25.8841i | 0.614721 | − | 1.06473i | ||||
\(592\) | −0.342904 | + | 2.27789i | −0.0140933 | + | 0.0936209i | ||||
\(593\) | −12.1719 | + | 7.02748i | −0.499842 | + | 0.288584i | −0.728648 | − | 0.684888i | \(-0.759851\pi\) |
0.228806 | + | 0.973472i | \(0.426518\pi\) | |||||||
\(594\) | −14.7067 | + | 47.6859i | −0.603425 | + | 1.95658i | ||||
\(595\) | 2.89513 | − | 9.73438i | 0.118689 | − | 0.399071i | ||||
\(596\) | 7.33782 | − | 10.7647i | 0.300569 | − | 0.440941i | ||||
\(597\) | 1.01060 | − | 0.583471i | 0.0413612 | − | 0.0238799i | ||||
\(598\) | 8.16039 | + | 8.79399i | 0.333703 | + | 0.359613i | ||||
\(599\) | 5.81502 | + | 3.35730i | 0.237595 | + | 0.137176i | 0.614071 | − | 0.789251i | \(-0.289531\pi\) |
−0.376476 | + | 0.926426i | \(0.622864\pi\) | |||||||
\(600\) | −8.11046 | − | 3.18182i | −0.331108 | − | 0.129897i | ||||
\(601\) | − | 2.72540i | − | 0.111171i | −0.998454 | − | 0.0555856i | \(-0.982297\pi\) | ||
0.998454 | − | 0.0555856i | \(-0.0177026\pi\) | |||||||
\(602\) | −2.43204 | + | 37.5742i | −0.0991225 | + | 1.53141i | ||||
\(603\) | −89.9135 | −3.66156 | ||||||||
\(604\) | −14.2565 | − | 1.06705i | −0.580089 | − | 0.0434175i | ||||
\(605\) | 0.106534 | − | 0.184523i | 0.00433124 | − | 0.00750193i | ||||
\(606\) | −33.5332 | − | 36.1368i | −1.36219 | − | 1.46796i | ||||
\(607\) | −16.0138 | − | 27.7367i | −0.649979 | − | 1.12580i | −0.983127 | − | 0.182923i | \(-0.941444\pi\) |
0.333148 | − | 0.942875i | \(-0.391889\pi\) | |||||||
\(608\) | −4.02897 | + | 0.302871i | −0.163396 | + | 0.0122830i | ||||
\(609\) | 18.0188 | − | 17.0615i | 0.730159 | − | 0.691366i | ||||
\(610\) | −0.240269 | − | 0.0741009i | −0.00972820 | − | 0.00300026i | ||||
\(611\) | −28.4559 | − | 49.2871i | −1.15120 | − | 1.99394i | ||||
\(612\) | −21.6152 | − | 44.8737i | −0.873742 | − | 1.81391i | ||||
\(613\) | 26.3757 | + | 15.2280i | 1.06530 | + | 0.615054i | 0.926895 | − | 0.375321i | \(-0.122468\pi\) |
0.138410 | + | 0.990375i | \(0.455801\pi\) | |||||||
\(614\) | −10.4673 | + | 2.38959i | −0.422424 | + | 0.0964362i | ||||
\(615\) | 0.710988 | 0.0286698 | ||||||||
\(616\) | 24.3396 | + | 3.41367i | 0.980669 | + | 0.137541i | ||||
\(617\) | 25.2200 | 1.01532 | 0.507660 | − | 0.861557i | \(-0.330511\pi\) | ||||
0.507660 | + | 0.861557i | \(0.330511\pi\) | |||||||
\(618\) | 2.94296 | − | 0.671856i | 0.118383 | − | 0.0270260i | ||||
\(619\) | 1.07430 | + | 0.620250i | 0.0431800 | + | 0.0249300i | 0.521435 | − | 0.853291i | \(-0.325397\pi\) |
−0.478255 | + | 0.878221i | \(0.658730\pi\) | |||||||
\(620\) | 0.120969 | − | 0.0582696i | 0.00485824 | − | 0.00234016i | ||||
\(621\) | −6.78050 | − | 11.7442i | −0.272092 | − | 0.471277i | ||||
\(622\) | 23.8965 | + | 7.36988i | 0.958163 | + | 0.295505i | ||||
\(623\) | −39.5640 | + | 9.45235i | −1.58510 | + | 0.378700i | ||||
\(624\) | −77.0770 | + | 30.2670i | −3.08555 | + | 1.21165i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 12.8342 | + | 13.8307i | 0.512957 | + | 0.552785i | ||||
\(627\) | −3.61283 | + | 6.25761i | −0.144283 | + | 0.249905i | ||||
\(628\) | −3.45343 | + | 46.1404i | −0.137807 | + | 1.84120i | ||||
\(629\) | −2.21057 | −0.0881411 | ||||||||
\(630\) | 20.1955 | + | 13.4704i | 0.804606 | + | 0.536674i | ||||
\(631\) | 8.73486i | 0.347729i | 0.984770 | + | 0.173865i | \(0.0556255\pi\) | ||||
−0.984770 | + | 0.173865i | \(0.944374\pi\) | |||||||
\(632\) | −29.3901 | − | 11.5300i | −1.16907 | − | 0.458640i | ||||
\(633\) | −3.13620 | − | 1.81069i | −0.124653 | − | 0.0719683i | ||||
\(634\) | 1.15442 | + | 1.24405i | 0.0458478 | + | 0.0494076i | ||||
\(635\) | −14.2571 | + | 8.23136i | −0.565777 | + | 0.326651i | ||||
\(636\) | 12.7499 | + | 8.69101i | 0.505567 | + | 0.344621i | ||||
\(637\) | 39.3990 | + | 25.7098i | 1.56105 | + | 1.01866i | ||||
\(638\) | 4.16807 | − | 13.5148i | 0.165015 | − | 0.535055i | ||||
\(639\) | −67.8293 | + | 39.1613i | −2.68329 | + | 1.54920i | ||||
\(640\) | 5.66004 | + | 9.79612i | 0.223733 | + | 0.387226i | ||||
\(641\) | 10.1834 | − | 17.6382i | 0.402220 | − | 0.696665i | −0.591774 | − | 0.806104i | \(-0.701572\pi\) |
0.993994 | + | 0.109439i | \(0.0349054\pi\) | |||||||
\(642\) | 21.7375 | − | 4.96251i | 0.857912 | − | 0.195855i | ||||
\(643\) | − | 20.9423i | − | 0.825884i | −0.910757 | − | 0.412942i | \(-0.864501\pi\) | ||
0.910757 | − | 0.412942i | \(-0.135499\pi\) | |||||||
\(644\) | −5.17910 | + | 4.21741i | −0.204085 | + | 0.166189i | ||||
\(645\) | 30.9970i | 1.22051i | ||||||||
\(646\) | −0.862942 | − | 3.77999i | −0.0339520 | − | 0.148722i | ||||
\(647\) | −9.88308 | + | 17.1180i | −0.388544 | + | 0.672978i | −0.992254 | − | 0.124226i | \(-0.960355\pi\) |
0.603710 | + | 0.797204i | \(0.293689\pi\) | |||||||
\(648\) | 38.1190 | − | 5.75095i | 1.49746 | − | 0.225919i | ||||
\(649\) | −3.23976 | + | 1.87048i | −0.127172 | + | 0.0734226i | ||||
\(650\) | −9.08249 | − | 2.80111i | −0.356244 | − | 0.109869i | ||||
\(651\) | −0.532152 | + | 0.127138i | −0.0208567 | + | 0.00498293i | ||||
\(652\) | 1.37301 | + | 0.935914i | 0.0537711 | + | 0.0366532i | ||||
\(653\) | 33.9904 | − | 19.6243i | 1.33015 | − | 0.767960i | 0.344824 | − | 0.938667i | \(-0.387939\pi\) |
0.985322 | + | 0.170708i | \(0.0546054\pi\) | |||||||
\(654\) | −39.1285 | + | 36.3094i | −1.53005 | + | 1.41981i | ||||
\(655\) | 0.446341 | + | 0.257695i | 0.0174400 | + | 0.0100690i | ||||
\(656\) | −0.721961 | − | 0.575525i | −0.0281878 | − | 0.0224705i | ||||
\(657\) | − | 29.1978i | − | 1.13911i | ||||||
\(658\) | 28.4056 | − | 14.0368i | 1.10736 | − | 0.547212i | ||||
\(659\) | 43.0875 | 1.67845 | 0.839225 | − | 0.543785i | \(-0.183009\pi\) | ||||
0.839225 | + | 0.543785i | \(0.183009\pi\) | |||||||
\(660\) | 20.1768 | + | 1.51016i | 0.785380 | + | 0.0587828i | ||||
\(661\) | 4.37780 | − | 7.58258i | 0.170277 | − | 0.294928i | −0.768240 | − | 0.640162i | \(-0.778867\pi\) |
0.938517 | + | 0.345234i | \(0.112200\pi\) | |||||||
\(662\) | 6.24709 | − | 5.79699i | 0.242800 | − | 0.225306i | ||||
\(663\) | −39.7320 | − | 68.8178i | −1.54306 | − | 2.67266i | ||||
\(664\) | −7.17456 | + | 5.72316i | −0.278427 | + | 0.222102i | ||||
\(665\) | 1.29927 | + | 1.37217i | 0.0503835 | + | 0.0532105i | ||||
\(666\) | 1.55725 | − | 5.04931i | 0.0603421 | − | 0.195657i | ||||
\(667\) | 1.92167 | + | 3.32844i | 0.0744076 | + | 0.128878i | ||||
\(668\) | 6.48633 | − | 3.12439i | 0.250963 | − | 0.120886i | ||||
\(669\) | −21.2858 | − | 12.2894i | −0.822956 | − | 0.475134i | ||||
\(670\) | 4.36206 | + | 19.1074i | 0.168521 | + | 0.738181i | ||||
\(671\) | 0.583931 | 0.0225424 | ||||||||
\(672\) | −14.0437 | − | 43.9099i | −0.541747 | − | 1.69386i | ||||
\(673\) | −13.0780 | −0.504121 | −0.252060 | − | 0.967712i | \(-0.581108\pi\) | ||||
−0.252060 | + | 0.967712i | \(0.581108\pi\) | |||||||
\(674\) | −5.44920 | − | 23.8694i | −0.209895 | − | 0.919414i | ||||
\(675\) | 9.30437 | + | 5.37188i | 0.358125 | + | 0.206764i | ||||
\(676\) | −57.9638 | + | 27.9205i | −2.22938 | + | 1.07387i | ||||
\(677\) | −13.8738 | − | 24.0302i | −0.533215 | − | 0.923555i | −0.999247 | − | 0.0387876i | \(-0.987650\pi\) |
0.466033 | − | 0.884767i | \(-0.345683\pi\) | |||||||
\(678\) | −8.45193 | + | 27.4050i | −0.324594 | + | 1.05248i | ||||
\(679\) | 4.34855 | − | 14.6212i | 0.166882 | − | 0.561112i | ||||
\(680\) | −8.48739 | + | 6.77040i | −0.325477 | + | 0.259633i | ||||
\(681\) | 9.63849 | + | 16.6944i | 0.369348 | + | 0.639729i | ||||
\(682\) | −0.228578 | + | 0.212109i | −0.00875271 | + | 0.00812208i | ||||
\(683\) | 23.1088 | − | 40.0257i | 0.884235 | − | 1.53154i | 0.0376480 | − | 0.999291i | \(-0.488013\pi\) |
0.846587 | − | 0.532250i | \(-0.178653\pi\) | |||||||
\(684\) | 9.24203 | + | 0.691731i | 0.353378 | + | 0.0264490i | ||||
\(685\) | −8.44288 | −0.322586 | ||||||||
\(686\) | −15.7003 | + | 20.9643i | −0.599439 | + | 0.800420i | ||||
\(687\) | − | 42.9626i | − | 1.63913i | ||||||
\(688\) | 25.0912 | − | 31.4754i | 0.956594 | − | 1.19999i | ||||
\(689\) | 14.5784 | + | 8.41682i | 0.555391 | + | 0.320655i | ||||
\(690\) | −4.03044 | + | 3.74005i | −0.153436 | + | 0.142381i | ||||
\(691\) | −13.6210 | + | 7.86409i | −0.518167 | + | 0.299164i | −0.736184 | − | 0.676781i | \(-0.763374\pi\) |
0.218017 | + | 0.975945i | \(0.430041\pi\) | |||||||
\(692\) | 17.4786 | + | 11.9144i | 0.664438 | + | 0.452916i | ||||
\(693\) | −54.0381 | − | 16.0717i | −2.05274 | − | 0.610512i | ||||
\(694\) | −5.61352 | − | 1.73126i | −0.213086 | − | 0.0657176i | ||||
\(695\) | 16.5443 | − | 9.55187i | 0.627562 | − | 0.362323i | ||||
\(696\) | −26.2312 | + | 3.95746i | −0.994292 | + | 0.150007i | ||||
\(697\) | 0.443007 | − | 0.767311i | 0.0167801 | − | 0.0290640i | ||||
\(698\) | −3.80928 | − | 16.6860i | −0.144184 | − | 0.631574i | ||||
\(699\) | 0.171218i | 0.00647607i | ||||||||
\(700\) | 1.88281 | − | 4.94520i | 0.0711636 | − | 0.186911i | ||||
\(701\) | − | 36.4270i | − | 1.37583i | −0.725792 | − | 0.687914i | \(-0.758526\pi\) | ||
0.725792 | − | 0.687914i | \(-0.241474\pi\) | |||||||
\(702\) | 99.5540 | − | 22.7274i | 3.75742 | − | 0.857791i | ||||
\(703\) | 0.205661 | − | 0.356216i | 0.00775666 | − | 0.0134349i | ||||
\(704\) | −19.2657 | − | 17.8660i | −0.726105 | − | 0.673351i | ||||
\(705\) | 22.5891 | − | 13.0418i | 0.850756 | − | 0.491184i | ||||
\(706\) | −5.03627 | + | 16.3299i | −0.189542 | + | 0.614583i | ||||
\(707\) | 21.7419 | − | 20.5868i | 0.817690 | − | 0.774247i | ||||
\(708\) | 5.79806 | + | 3.95226i | 0.217904 | + | 0.148535i | ||||
\(709\) | −28.0338 | + | 16.1853i | −1.05283 | + | 0.607853i | −0.923441 | − | 0.383741i | \(-0.874636\pi\) |
−0.129391 | + | 0.991594i | \(0.541302\pi\) | |||||||
\(710\) | 11.6128 | + | 12.5144i | 0.435819 | + | 0.469658i | ||||
\(711\) | 62.7161 | + | 36.2091i | 2.35204 | + | 1.35795i | ||||
\(712\) | 40.4822 | + | 15.8816i | 1.51714 | + | 0.595188i | ||||
\(713\) | − | 0.0847403i | − | 0.00317355i | ||||||
\(714\) | 39.6617 | − | 19.5991i | 1.48430 | − | 0.733478i | ||||
\(715\) | 22.0734 | 0.825497 | ||||||||
\(716\) | −2.78863 | + | 37.2582i | −0.104216 | + | 1.39240i | ||||
\(717\) | −12.1799 | + | 21.0962i | −0.454868 | + | 0.787854i | ||||
\(718\) | 9.87374 | + | 10.6404i | 0.368485 | + | 0.397095i | ||||
\(719\) | −0.853166 | − | 1.47773i | −0.0318177 | − | 0.0551099i | 0.849678 | − | 0.527302i | \(-0.176796\pi\) |
−0.881496 | + | 0.472192i | \(0.843463\pi\) | |||||||
\(720\) | −9.48574 | − | 24.1561i | −0.353513 | − | 0.900244i | ||||
\(721\) | 0.426040 | + | 1.78325i | 0.0158666 | + | 0.0664116i | ||||
\(722\) | −24.9873 | − | 7.70628i | −0.929930 | − | 0.286798i | ||||
\(723\) | 20.6683 | + | 35.7985i | 0.768662 | + | 1.33136i | ||||
\(724\) | 31.2137 | − | 15.0353i | 1.16005 | − | 0.558782i | ||||
\(725\) | −2.63697 | − | 1.52246i | −0.0979346 | − | 0.0565426i | ||||
\(726\) | 0.904876 | − | 0.206576i | 0.0335831 | − | 0.00766676i | ||||
\(727\) | 13.8129 | 0.512293 | 0.256146 | − | 0.966638i | \(-0.417547\pi\) | ||||
0.256146 | + | 0.966638i | \(0.417547\pi\) | |||||||
\(728\) | −18.8536 | − | 46.6262i | −0.698760 | − | 1.72808i | ||||
\(729\) | 10.8521 | 0.401930 | ||||||||
\(730\) | −6.20477 | + | 1.41650i | −0.229649 | + | 0.0524271i | ||||
\(731\) | 33.4525 | + | 19.3138i | 1.23729 | + | 0.714347i | ||||
\(732\) | −0.475319 | − | 0.986777i | −0.0175683 | − | 0.0364723i | ||||
\(733\) | −17.7219 | − | 30.6952i | −0.654574 | − | 1.13375i | −0.982001 | − | 0.188878i | \(-0.939515\pi\) |
0.327427 | − | 0.944876i | \(-0.393818\pi\) | |||||||
\(734\) | −25.0572 | − | 7.72783i | −0.924876 | − | 0.285240i | ||||
\(735\) | −11.7832 | + | 18.0573i | −0.434631 | + | 0.666052i | ||||
\(736\) | 7.12011 | − | 0.535241i | 0.262451 | − | 0.0197293i | ||||
\(737\) | −22.7581 | − | 39.4182i | −0.838307 | − | 1.45199i | ||||
\(738\) | 1.44059 | + | 1.55244i | 0.0530287 | + | 0.0571461i | ||||
\(739\) | 14.3056 | − | 24.7780i | 0.526240 | − | 0.911474i | −0.473293 | − | 0.880905i | \(-0.656935\pi\) |
0.999533 | − | 0.0305688i | \(-0.00973187\pi\) | |||||||
\(740\) | −1.14857 | − | 0.0859659i | −0.0422222 | − | 0.00316017i | ||||
\(741\) | 14.7859 | 0.543175 | ||||||||
\(742\) | −5.20034 | + | 7.79659i | −0.190910 | + | 0.286222i | ||||
\(743\) | − | 21.9551i | − | 0.805456i | −0.915320 | − | 0.402728i | \(-0.868062\pi\) | ||
0.915320 | − | 0.402728i | \(-0.131938\pi\) | |||||||
\(744\) | 0.544503 | + | 0.213614i | 0.0199625 | + | 0.00783148i | ||||
\(745\) | 5.64120 | + | 3.25695i | 0.206678 | + | 0.119325i | ||||
\(746\) | 25.6263 | + | 27.6160i | 0.938246 | + | 1.01109i | ||||
\(747\) | 18.2316 | − | 10.5260i | 0.667058 | − | 0.385126i | ||||
\(748\) | 14.2017 | − | 20.8342i | 0.519264 | − | 0.761773i | ||||
\(749\) | 3.14685 | + | 13.1715i | 0.114983 | + | 0.481277i | ||||
\(750\) | 1.28380 | − | 4.16266i | 0.0468777 | − | 0.151999i | ||||
\(751\) | 2.09527 | − | 1.20971i | 0.0764576 | − | 0.0441428i | −0.461284 | − | 0.887253i | \(-0.652611\pi\) |
0.537741 | + | 0.843110i | \(0.319278\pi\) | |||||||
\(752\) | −33.4948 | − | 5.04216i | −1.22143 | − | 0.183869i | ||||
\(753\) | −28.3363 | + | 49.0799i | −1.03263 | + | 1.78857i | ||||
\(754\) | −28.2148 | + | 6.44123i | −1.02752 | + | 0.234576i | ||||
\(755\) | − | 7.14820i | − | 0.260150i | ||||||
\(756\) | 9.04667 | + | 56.1262i | 0.329024 | + | 2.04129i | ||||
\(757\) | − | 12.1295i | − | 0.440854i | −0.975403 | − | 0.220427i | \(-0.929255\pi\) | ||
0.975403 | − | 0.220427i | \(-0.0707451\pi\) | |||||||
\(758\) | −7.77549 | − | 34.0593i | −0.282418 | − | 1.23709i | ||||
\(759\) | 6.38470 | − | 11.0586i | 0.231750 | − | 0.401403i | ||||
\(760\) | −0.301369 | − | 1.99756i | −0.0109318 | − | 0.0724593i | ||||
\(761\) | −28.8033 | + | 16.6296i | −1.04412 | + | 0.602823i | −0.920997 | − | 0.389569i | \(-0.872624\pi\) |
−0.123122 | + | 0.992392i | \(0.539291\pi\) | |||||||
\(762\) | −68.5287 | − | 21.1348i | −2.48253 | − | 0.765634i | ||||
\(763\) | −22.2911 | − | 23.5419i | −0.806994 | − | 0.852274i | ||||
\(764\) | −9.44558 | + | 13.8569i | −0.341729 | + | 0.501324i | ||||
\(765\) | 21.5676 | − | 12.4521i | 0.779779 | − | 0.450206i | ||||
\(766\) | −19.7479 | + | 18.3251i | −0.713521 | + | 0.662113i | ||||
\(767\) | 6.62954 | + | 3.82757i | 0.239379 | + | 0.138205i | ||||
\(768\) | −14.5092 | + | 47.0999i | −0.523556 | + | 1.69957i | ||||
\(769\) | 32.8673i | 1.18523i | 0.805487 | + | 0.592613i | \(0.201904\pi\) | ||||
−0.805487 | + | 0.592613i | \(0.798096\pi\) | |||||||
\(770\) | −0.793753 | + | 12.2632i | −0.0286049 | + | 0.441936i | ||||
\(771\) | 92.1529 | 3.31881 | ||||||||
\(772\) | −1.29104 | + | 17.2493i | −0.0464657 | + | 0.620815i | ||||
\(773\) | 13.9148 | − | 24.1011i | 0.500480 | − | 0.866857i | −0.499520 | − | 0.866302i | \(-0.666490\pi\) |
1.00000 | 0.000554379i | \(-0.000176464\pi\) | ||||||||
\(774\) | −67.6818 | + | 62.8054i | −2.43277 | + | 2.25749i | ||||
\(775\) | 0.0335679 | + | 0.0581414i | 0.00120580 | + | 0.00208850i | ||||
\(776\) | −12.7482 | + | 10.1693i | −0.457635 | + | 0.365056i | ||||
\(777\) | 4.49852 | + | 1.33792i | 0.161383 | + | 0.0479976i | ||||
\(778\) | −12.8073 | + | 41.5272i | −0.459165 | + | 1.48882i | ||||
\(779\) | 0.0824307 | + | 0.142774i | 0.00295339 | + | 0.00511542i | ||||
\(780\) | −17.9677 | − | 37.3015i | −0.643348 | − | 1.33561i | ||||
\(781\) | −34.3368 | − | 19.8243i | −1.22867 | − | 0.709370i | ||||
\(782\) | 1.52501 | + | 6.68010i | 0.0545344 | + | 0.238880i | ||||
\(783\) | 32.7138 | 1.16910 | ||||||||
\(784\) | 26.5819 | − | 8.79775i | 0.949355 | − | 0.314206i | ||||
\(785\) | −23.1347 | −0.825713 | ||||||||
\(786\) | 0.499685 | + | 2.18879i | 0.0178232 | + | 0.0780717i | ||||
\(787\) | −6.78734 | − | 3.91867i | −0.241943 | − | 0.139686i | 0.374127 | − | 0.927378i | \(-0.377943\pi\) |
−0.616069 | + | 0.787692i | \(0.711276\pi\) | |||||||
\(788\) | −8.42176 | − | 17.4838i | −0.300013 | − | 0.622835i | ||||
\(789\) | 30.7868 | + | 53.3244i | 1.09604 | + | 1.89840i | ||||
\(790\) | 4.65213 | − | 15.0843i | 0.165515 | − | 0.536676i | ||||
\(791\) | −16.6956 | − | 4.96550i | −0.593628 | − | 0.176553i | ||||
\(792\) | 37.5843 | + | 47.1158i | 1.33550 | + | 1.67419i | ||||
\(793\) | −0.597451 | − | 1.03482i | −0.0212161 | − | 0.0367474i | ||||
\(794\) | 29.7286 | − | 27.5867i | 1.05503 | − | 0.979016i | ||||
\(795\) | −3.85757 | + | 6.68151i | −0.136814 | + | 0.236969i | ||||
\(796\) | 0.0565522 | − | 0.755579i | 0.00200444 | − | 0.0267808i | ||||
\(797\) | 9.03418 | 0.320007 | 0.160004 | − | 0.987116i | \(-0.448849\pi\) | ||||
0.160004 | + | 0.987116i | \(0.448849\pi\) | |||||||
\(798\) | −0.531699 | + | 8.21458i | −0.0188219 | + | 0.290793i | ||||
\(799\) | − | 32.5048i | − | 1.14994i | ||||||
\(800\) | −4.67317 | + | 3.18770i | −0.165222 | + | 0.112702i | ||||
\(801\) | −86.3859 | − | 49.8749i | −3.05230 | − | 1.76224i | ||||
\(802\) | 7.44620 | − | 6.90970i | 0.262934 | − | 0.243990i | ||||
\(803\) | 12.8004 | − | 7.39029i | 0.451715 | − | 0.260798i | ||||
\(804\) | −48.0872 | + | 70.5451i | −1.69591 | + | 2.48793i | ||||
\(805\) | −2.29610 | − | 2.42494i | −0.0809270 | − | 0.0854678i | ||||
\(806\) | 0.609761 | + | 0.188055i | 0.0214779 | + | 0.00662396i | ||||
\(807\) | 63.5644 | − | 36.6989i | 2.23757 | − | 1.29186i | ||||
\(808\) | −31.6513 | + | 4.77517i | −1.11349 | + | 0.167990i | ||||
\(809\) | 4.13014 | − | 7.15361i | 0.145208 | − | 0.251508i | −0.784243 | − | 0.620454i | \(-0.786948\pi\) |
0.929451 | + | 0.368947i | \(0.120282\pi\) | |||||||
\(810\) | 4.29001 | + | 18.7917i | 0.150736 | + | 0.660274i | ||||
\(811\) | − | 4.89216i | − | 0.171787i | −0.996304 | − | 0.0858936i | \(-0.972626\pi\) | ||
0.996304 | − | 0.0858936i | \(-0.0273745\pi\) | |||||||
\(812\) | −2.56393 | − | 15.9068i | −0.0899765 | − | 0.558221i | ||||
\(813\) | 61.2543i | 2.14828i | ||||||||
\(814\) | 2.60778 | − | 0.595337i | 0.0914027 | − | 0.0208665i | ||||
\(815\) | −0.415413 | + | 0.719516i | −0.0145513 | + | 0.0252035i | ||||
\(816\) | −46.7676 | − | 7.04019i | −1.63719 | − | 0.246456i | ||||
\(817\) | −6.22454 | + | 3.59374i | −0.217769 | + | 0.125729i | ||||
\(818\) | 6.53227 | − | 21.1806i | 0.228395 | − | 0.740562i | ||||
\(819\) | 26.8078 | + | 112.208i | 0.936742 | + | 3.92085i | ||||
\(820\) | 0.260017 | − | 0.381451i | 0.00908020 | − | 0.0133209i | ||||
\(821\) | 34.9611 | − | 20.1848i | 1.22015 | − | 0.704455i | 0.255202 | − | 0.966888i | \(-0.417858\pi\) |
0.964950 | + | 0.262433i | \(0.0845248\pi\) | |||||||
\(822\) | −25.0169 | − | 26.9592i | −0.872563 | − | 0.940312i | ||||
\(823\) | −32.0112 | − | 18.4817i | −1.11584 | − | 0.644231i | −0.175505 | − | 0.984479i | \(-0.556156\pi\) |
−0.940336 | + | 0.340247i | \(0.889489\pi\) | |||||||
\(824\) | 0.715822 | − | 1.82463i | 0.0249369 | − | 0.0635641i | ||||
\(825\) | 10.1166i | 0.352215i | ||||||||
\(826\) | −2.36487 | + | 3.54552i | −0.0822843 | + | 0.123364i | ||||
\(827\) | 34.0217 | 1.18305 | 0.591526 | − | 0.806286i | \(-0.298526\pi\) | ||||
0.591526 | + | 0.806286i | \(0.298526\pi\) | |||||||
\(828\) | −16.3328 | − | 1.22245i | −0.567603 | − | 0.0424829i | ||||
\(829\) | −5.83499 | + | 10.1065i | −0.202657 | + | 0.351013i | −0.949384 | − | 0.314118i | \(-0.898291\pi\) |
0.746726 | + | 0.665131i | \(0.231624\pi\) | |||||||
\(830\) | −3.12134 | − | 3.36370i | −0.108343 | − | 0.116756i | ||||
\(831\) | 30.4656 | + | 52.7680i | 1.05684 | + | 1.83050i | ||||
\(832\) | −11.9495 | + | 52.4215i | −0.414275 | + | 1.81739i | ||||
\(833\) | 12.1457 | + | 23.9679i | 0.420825 | + | 0.830439i | ||||
\(834\) | 79.5224 | + | 24.5254i | 2.75364 | + | 0.849244i | ||||
\(835\) | 1.79990 | + | 3.11752i | 0.0622881 | + | 0.107886i | ||||
\(836\) | 2.03601 | + | 4.22680i | 0.0704167 | + | 0.146187i | ||||
\(837\) | −0.624657 | − | 0.360646i | −0.0215913 | − | 0.0124657i | ||||
\(838\) | 50.7935 | − | 11.5958i | 1.75463 | − | 0.400569i | ||||
\(839\) | −29.7543 | −1.02723 | −0.513616 | − | 0.858020i | \(-0.671694\pi\) | ||||
−0.513616 | + | 0.858020i | \(0.671694\pi\) | |||||||
\(840\) | 21.3696 | − | 8.64092i | 0.737321 | − | 0.298140i | ||||
\(841\) | 19.7285 | 0.680294 | ||||||||
\(842\) | −11.5487 | + | 2.63647i | −0.397993 | + | 0.0908589i | ||||
\(843\) | 26.4462 | + | 15.2687i | 0.910855 | + | 0.525883i | ||||
\(844\) | −2.11840 | + | 1.02041i | −0.0729182 | + | 0.0351239i | ||||
\(845\) | −16.0844 | − | 27.8591i | −0.553322 | − | 0.958382i | ||||
\(846\) | 74.2464 | + | 22.8982i | 2.55264 | + | 0.787256i | ||||
\(847\) | 0.130995 | + | 0.548296i | 0.00450104 | + | 0.0188397i | ||||
\(848\) | 9.32561 | − | 3.66203i | 0.320243 | − | 0.125755i | ||||
\(849\) | −41.5268 | − | 71.9265i | −1.42520 | − | 2.46851i | ||||
\(850\) | −3.69250 | − | 3.97920i | −0.126652 | − | 0.136485i | ||||
\(851\) | −0.363450 | + | 0.629514i | −0.0124589 | + | 0.0215795i | ||||
\(852\) | −5.55076 | + | 74.1622i | −0.190166 | + | 2.54076i | ||||
\(853\) | −11.5473 | −0.395370 | −0.197685 | − | 0.980266i | \(-0.563342\pi\) | ||||
−0.197685 | + | 0.980266i | \(0.563342\pi\) | |||||||
\(854\) | 0.596393 | − | 0.294712i | 0.0204082 | − | 0.0100848i | ||||
\(855\) | 4.63394i | 0.158477i | ||||||||
\(856\) | 5.28726 | − | 13.4772i | 0.180715 | − | 0.460642i | ||||
\(857\) | 29.7816 | + | 17.1944i | 1.01732 | + | 0.587350i | 0.913327 | − | 0.407228i | \(-0.133505\pi\) |
0.103994 | + | 0.994578i | \(0.466838\pi\) | |||||||
\(858\) | 65.4050 | + | 70.4832i | 2.23289 | + | 2.40626i | ||||
\(859\) | −4.47750 | + | 2.58509i | −0.152770 | + | 0.0882020i | −0.574436 | − | 0.818549i | \(-0.694779\pi\) |
0.421666 | + | 0.906751i | \(0.361445\pi\) | |||||||
\(860\) | 16.6302 | + | 11.3360i | 0.567084 | + | 0.386554i | ||||
\(861\) | −1.36593 | + | 1.29336i | −0.0465507 | + | 0.0440775i | ||||
\(862\) | 9.89702 | − | 32.0906i | 0.337094 | − | 1.09301i | ||||
\(863\) | 24.4172 | − | 14.0973i | 0.831172 | − | 0.479878i | −0.0230816 | − | 0.999734i | \(-0.507348\pi\) |
0.854254 | + | 0.519856i | \(0.174014\pi\) | |||||||
\(864\) | 26.3569 | − | 54.7633i | 0.896681 | − | 1.86308i | ||||
\(865\) | −5.28828 | + | 9.15958i | −0.179807 | + | 0.311435i | ||||
\(866\) | 8.95629 | − | 2.04465i | 0.304347 | − | 0.0694801i | ||||
\(867\) | 6.97900i | 0.237019i | ||||||||
\(868\) | −0.126404 | + | 0.332001i | −0.00429044 | + | 0.0112688i | ||||
\(869\) | 36.6598i | 1.24360i | ||||||||
\(870\) | −2.95213 | − | 12.9313i | −0.100086 | − | 0.438414i | ||||
\(871\) | −46.5701 | + | 80.6618i | −1.57797 | + | 2.73312i | ||||
\(872\) | 5.17050 | + | 34.2716i | 0.175095 | + | 1.16058i | ||||
\(873\) | 32.3950 | − | 18.7033i | 1.09641 | − | 0.633010i | ||||
\(874\) | −1.21833 | − | 0.375742i | −0.0412105 | − | 0.0127096i | ||||
\(875\) | 2.53597 | + | 0.754231i | 0.0857314 | + | 0.0254977i | ||||
\(876\) | −22.9083 | − | 15.6155i | −0.773998 | − | 0.527598i | ||||
\(877\) | 3.75181 | − | 2.16611i | 0.126690 | − | 0.0731443i | −0.435316 | − | 0.900278i | \(-0.643363\pi\) |
0.562005 | + | 0.827133i | \(0.310030\pi\) | |||||||
\(878\) | −22.8593 | + | 21.2123i | −0.771464 | + | 0.715880i | ||||
\(879\) | 5.46415 | + | 3.15473i | 0.184301 | + | 0.106406i | ||||
\(880\) | 8.18912 | − | 10.2727i | 0.276055 | − | 0.346294i | ||||
\(881\) | 4.70606i | 0.158551i | 0.996853 | + | 0.0792757i | \(0.0252607\pi\) | ||||
−0.996853 | + | 0.0792757i | \(0.974739\pi\) | |||||||
\(882\) | −63.3029 | + | 10.8586i | −2.13152 | + | 0.365628i | ||||
\(883\) | −18.9412 | −0.637424 | −0.318712 | − | 0.947852i | \(-0.603250\pi\) | ||||
−0.318712 | + | 0.947852i | \(0.603250\pi\) | |||||||
\(884\) | −51.4519 | − | 3.85098i | −1.73051 | − | 0.129522i | ||||
\(885\) | −1.75424 | + | 3.03844i | −0.0589682 | + | 0.102136i | ||||
\(886\) | 5.84584 | − | 5.42465i | 0.196395 | − | 0.182245i | ||||
\(887\) | 16.6634 | + | 28.8618i | 0.559501 | + | 0.969085i | 0.997538 | + | 0.0701277i | \(0.0223407\pi\) |
−0.438037 | + | 0.898957i | \(0.644326\pi\) | |||||||
\(888\) | −3.12879 | − | 3.92225i | −0.104995 | − | 0.131622i | ||||
\(889\) | 12.4167 | − | 41.7489i | 0.416442 | − | 1.40021i | ||||
\(890\) | −6.40790 | + | 20.7773i | −0.214793 | + | 0.696458i | ||||
\(891\) | −22.3822 | − | 38.7671i | −0.749832 | − | 1.29875i | ||||
\(892\) | −14.3778 | + | 6.92564i | −0.481405 | + | 0.231888i | ||||
\(893\) | 5.23789 | + | 3.02410i | 0.175279 | + | 0.101198i | ||||
\(894\) | 6.31540 | + | 27.6637i | 0.211219 | + | 0.925212i | ||||
\(895\) | −18.6812 | −0.624443 | ||||||||
\(896\) | −28.6940 | − | 8.52382i | −0.958599 | − | 0.284761i | ||||
\(897\) | −26.1301 | −0.872459 | ||||||||
\(898\) | 5.27604 | + | 23.1109i | 0.176064 | + | 0.771221i | ||||
\(899\) | 0.177035 | + | 0.102211i | 0.00590446 | + | 0.00340894i | ||||
\(900\) | 11.6904 | − | 5.63112i | 0.389679 | − | 0.187704i | ||||
\(901\) | 4.80720 | + | 8.32632i | 0.160151 | + | 0.277390i | ||||
\(902\) | −0.315963 | + | 1.02450i | −0.0105204 | + | 0.0341120i | ||||
\(903\) | −56.3866 | − | 59.5505i | −1.87643 | − | 1.98172i | ||||
\(904\) | 11.6120 | + | 14.5569i | 0.386211 | + | 0.484155i | ||||
\(905\) | 8.66153 | + | 15.0022i | 0.287919 | + | 0.498690i | ||||
\(906\) | 22.8251 | − | 21.1806i | 0.758315 | − | 0.703679i | ||||
\(907\) | −22.7638 | + | 39.4281i | −0.755861 | + | 1.30919i | 0.189085 | + | 0.981961i | \(0.439448\pi\) |
−0.944945 | + | 0.327228i | \(0.893885\pi\) | |||||||
\(908\) | 12.4816 | + | 0.934200i | 0.414216 | + | 0.0310025i | ||||
\(909\) | 73.4244 | 2.43533 | ||||||||
\(910\) | 22.5445 | − | 11.1405i | 0.747342 | − | 0.369305i | ||||
\(911\) | − | 9.10038i | − | 0.301509i | −0.988571 | − | 0.150755i | \(-0.951830\pi\) | ||
0.988571 | − | 0.150755i | \(-0.0481703\pi\) | |||||||
\(912\) | 5.48551 | − | 6.88124i | 0.181643 | − | 0.227861i | ||||
\(913\) | 9.22922 | + | 5.32850i | 0.305443 | + | 0.176347i | ||||
\(914\) | 15.7309 | − | 14.5975i | 0.520331 | − | 0.482841i | ||||
\(915\) | 0.474274 | − | 0.273822i | 0.0156790 | − | 0.00905228i | ||||
\(916\) | −23.0498 | − | 15.7120i | −0.761588 | − | 0.519138i | ||||
\(917\) | −1.32627 | + | 0.316862i | −0.0437972 | + | 0.0104637i | ||||
\(918\) | 55.7321 | + | 17.1882i | 1.83943 | + | 0.567297i | ||||
\(919\) | 21.5543 | − | 12.4444i | 0.711010 | − | 0.410502i | −0.100425 | − | 0.994945i | \(-0.532020\pi\) |
0.811435 | + | 0.584443i | \(0.198687\pi\) | |||||||
\(920\) | 0.532588 | + | 3.53015i | 0.0175589 | + | 0.116386i | ||||
\(921\) | 11.6925 | − | 20.2519i | 0.385280 | − | 0.667324i | ||||
\(922\) | −9.05680 | − | 39.6719i | −0.298270 | − | 1.30653i | ||||
\(923\) | 81.1333i | 2.67054i | ||||||||
\(924\) | −41.5101 | + | 33.8023i | −1.36558 | + | 1.11201i | ||||
\(925\) | − | 0.575890i | − | 0.0189351i | ||||||
\(926\) | −47.4796 | + | 10.8392i | −1.56028 | + | 0.356199i | ||||
\(927\) | −2.24799 | + | 3.89362i | −0.0738335 | + | 0.127883i | ||||
\(928\) | −7.46988 | + | 15.5206i | −0.245211 | + | 0.509488i | ||||
\(929\) | 35.0593 | − | 20.2415i | 1.15026 | − | 0.664102i | 0.201308 | − | 0.979528i | \(-0.435481\pi\) |
0.948950 | + | 0.315426i | \(0.102147\pi\) | |||||||
\(930\) | −0.0861890 | + | 0.279464i | −0.00282625 | + | 0.00916399i | ||||
\(931\) | −4.99222 | − | 0.272673i | −0.163614 | − | 0.00893648i | ||||
\(932\) | 0.0918602 | + | 0.0626167i | 0.00300898 | + | 0.00205108i | ||||
\(933\) | −47.1700 | + | 27.2336i | −1.54428 | + | 0.891589i | ||||
\(934\) | 17.7013 | + | 19.0757i | 0.579203 | + | 0.624175i | ||||
\(935\) | 10.9180 | + | 6.30352i | 0.357058 | + | 0.206147i | ||||
\(936\) | 45.0419 | − | 114.812i | 1.47224 | − | 3.75274i | ||||
\(937\) | − | 33.0886i | − | 1.08096i | −0.841358 | − | 0.540478i | \(-0.818243\pi\) | ||
0.841358 | − | 0.540478i | \(-0.181757\pi\) | |||||||
\(938\) | −43.1384 | − | 28.7734i | −1.40852 | − | 0.939485i | ||||
\(939\) | −41.0959 | −1.34111 | ||||||||
\(940\) | 1.26407 | − | 16.8888i | 0.0412293 | − | 0.550853i | ||||
\(941\) | 12.0677 | − | 20.9019i | 0.393396 | − | 0.681382i | −0.599499 | − | 0.800375i | \(-0.704633\pi\) |
0.992895 | + | 0.118994i | \(0.0379668\pi\) | |||||||
\(942\) | −68.5498 | − | 73.8722i | −2.23347 | − | 2.40689i | ||||
\(943\) | −0.145674 | − | 0.252314i | −0.00474379 | − | 0.00821649i | ||||
\(944\) | 4.24084 | − | 1.66532i | 0.138028 | − | 0.0542015i | ||||
\(945\) | −27.6472 | + | 6.60527i | −0.899364 | + | 0.214870i | ||||
\(946\) | −44.6650 | − | 13.7751i | −1.45219 | − | 0.447866i | ||||
\(947\) | −18.7287 | − | 32.4390i | −0.608600 | − | 1.05413i | −0.991471 | − | 0.130325i | \(-0.958398\pi\) |
0.382871 | − | 0.923802i | \(-0.374935\pi\) | |||||||
\(948\) | 61.9509 | − | 29.8411i | 2.01207 | − | 0.969192i | ||||
\(949\) | −26.1935 | − | 15.1228i | −0.850276 | − | 0.490907i | ||||
\(950\) | 0.984749 | − | 0.224811i | 0.0319495 | − | 0.00729382i | ||||
\(951\) | −3.69652 | −0.119868 | ||||||||
\(952\) | 3.98967 | − | 28.4465i | 0.129306 | − | 0.921956i | ||||
\(953\) | −13.4036 | −0.434185 | −0.217092 | − | 0.976151i | \(-0.569657\pi\) | ||||
−0.217092 | + | 0.976151i | \(0.569657\pi\) | |||||||
\(954\) | −22.4052 | + | 5.11493i | −0.725394 | + | 0.165602i | ||||
\(955\) | −7.26161 | − | 4.19249i | −0.234980 | − | 0.135666i | ||||
\(956\) | 6.86397 | + | 14.2498i | 0.221997 | + | 0.460871i | ||||
\(957\) | 15.4021 | + | 26.6772i | 0.497879 | + | 0.862352i | ||||
\(958\) | −32.3675 | − | 9.98240i | −1.04575 | − | 0.322517i | ||||
\(959\) | 16.2202 | − | 15.3584i | 0.523777 | − | 0.495949i | ||||
\(960\) | −24.0257 | − | 5.47667i | −0.775426 | − | 0.176759i | ||||
\(961\) | 15.4977 | + | 26.8429i | 0.499927 | + | 0.865899i | ||||
\(962\) | −3.72319 | − | 4.01227i | −0.120040 | − | 0.129361i | ||||
\(963\) | −16.6042 | + | 28.7594i | −0.535064 | + | 0.926757i | ||||
\(964\) | 26.7649 | + | 2.00325i | 0.862039 | + | 0.0645203i | ||||
\(965\) | −8.64877 | −0.278414 | ||||||||
\(966\) | 0.939633 | − | 14.5170i | 0.0302322 | − | 0.467078i | ||||
\(967\) | − | 16.1690i | − | 0.519959i | −0.965614 | − | 0.259980i | \(-0.916284\pi\) | ||
0.965614 | − | 0.259980i | \(-0.0837158\pi\) | |||||||
\(968\) | 0.220095 | − | 0.561022i | 0.00707411 | − | 0.0180319i | ||||
\(969\) | 7.31348 | + | 4.22244i | 0.234943 | + | 0.135644i | ||||
\(970\) | −5.54621 | − | 5.97684i | −0.178078 | − | 0.191905i | ||||
\(971\) | 11.2868 | − | 6.51641i | 0.362209 | − | 0.209122i | −0.307840 | − | 0.951438i | \(-0.599606\pi\) |
0.670049 | + | 0.742316i | \(0.266273\pi\) | |||||||
\(972\) | −10.9848 | + | 16.1150i | −0.352339 | + | 0.516889i | ||||
\(973\) | −14.4086 | + | 48.4465i | −0.461920 | + | 1.55312i | ||||
\(974\) | 10.3665 | − | 33.6131i | 0.332166 | − | 1.07703i | ||||
\(975\) | 17.9282 | − | 10.3508i | 0.574162 | − | 0.331492i | ||||
\(976\) | −0.703245 | − | 0.105863i | −0.0225103 | − | 0.00338861i | ||||
\(977\) | 5.75357 | − | 9.96548i | 0.184073 | − | 0.318824i | −0.759191 | − | 0.650868i | \(-0.774405\pi\) |
0.943264 | + | 0.332044i | \(0.107738\pi\) | |||||||
\(978\) | −3.52841 | + | 0.805509i | −0.112826 | + | 0.0257573i | ||||
\(979\) | − | 50.4956i | − | 1.61385i | ||||||
\(980\) | 5.37861 | + | 12.9256i | 0.171813 | + | 0.412892i | ||||
\(981\) | − | 79.5030i | − | 2.53834i | ||||||
\(982\) | −4.49928 | − | 19.7084i | −0.143578 | − | 0.628921i | ||||
\(983\) | −6.41950 | + | 11.1189i | −0.204750 | + | 0.354638i | −0.950053 | − | 0.312088i | \(-0.898972\pi\) |
0.745303 | + | 0.666726i | \(0.232305\pi\) | |||||||
\(984\) | 1.98848 | − | 0.299998i | 0.0633903 | − | 0.00956358i | ||||
\(985\) | 8.40323 | − | 4.85161i | 0.267749 | − | 0.154585i | ||||
\(986\) | −15.7952 | − | 4.87136i | −0.503020 | − | 0.155136i | ||||
\(987\) | −19.6731 | + | 66.1474i | −0.626202 | + | 2.10550i | ||||
\(988\) | 5.40740 | − | 7.93278i | 0.172032 | − | 0.252375i | ||||
\(989\) | 11.0002 | − | 6.35096i | 0.349785 | − | 0.201949i | ||||
\(990\) | −22.0896 | + | 20.4980i | −0.702053 | + | 0.651470i | ||||
\(991\) | −21.2549 | − | 12.2715i | −0.675183 | − | 0.389817i | 0.122854 | − | 0.992425i | \(-0.460795\pi\) |
−0.798038 | + | 0.602607i | \(0.794129\pi\) | |||||||
\(992\) | 0.313738 | − | 0.214009i | 0.00996118 | − | 0.00679480i | ||||
\(993\) | 18.5623i | 0.589058i | ||||||||
\(994\) | −45.0750 | − | 2.91754i | −1.42969 | − | 0.0925386i | ||||
\(995\) | 0.378846 | 0.0120102 | ||||||||
\(996\) | 1.49196 | − | 19.9337i | 0.0472747 | − | 0.631625i | ||||
\(997\) | 20.2325 | − | 35.0437i | 0.640769 | − | 1.10984i | −0.344493 | − | 0.938789i | \(-0.611949\pi\) |
0.985262 | − | 0.171055i | \(-0.0547175\pi\) | |||||||
\(998\) | −0.515721 | + | 0.478564i | −0.0163249 | + | 0.0151487i | ||||
\(999\) | 3.09361 | + | 5.35829i | 0.0978775 | + | 0.169529i |
(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 | 280.2.bj.f.171.6 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.591.12 | 24 | |||
7.5 | odd | 6 | 280.2.bj.e.131.10 | ✓ | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.171.10 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.591.12 | 24 | |||
28.19 | even | 6 | 1120.2.bz.f.271.12 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.e.271.12 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.f.131.6 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.10 | ✓ | 24 | 7.5 | odd | 6 | ||
280.2.bj.e.171.10 | yes | 24 | 8.3 | odd | 2 | ||
280.2.bj.f.131.6 | yes | 24 | 56.19 | even | 6 | inner | |
280.2.bj.f.171.6 | yes | 24 | 1.1 | even | 1 | trivial | |
1120.2.bz.e.271.12 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.e.591.12 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.f.271.12 | 24 | 28.19 | even | 6 | |||
1120.2.bz.f.591.12 | 24 | 8.5 | even | 2 |