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 | 171.10 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.e.131.10 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.03665 | + | 0.961958i | 0.733020 | + | 0.680207i | ||||
\(3\) | −2.66758 | − | 1.54013i | −1.54013 | − | 0.889192i | −0.998830 | − | 0.0483596i | \(-0.984601\pi\) |
−0.541296 | − | 0.840832i | \(-0.682066\pi\) | |||||||
\(4\) | 0.149275 | + | 1.99442i | 0.0746375 | + | 0.997211i | ||||
\(5\) | 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 | ||||
\(10\) | −0.314756 | + | 1.37874i | −0.0995346 | + | 0.435996i | ||||
\(11\) | −1.64217 | + | 2.84433i | −0.495134 | + | 0.857597i | −0.999984 | − | 0.00560987i | \(-0.998214\pi\) |
0.504850 | + | 0.863207i | \(0.331548\pi\) | |||||||
\(12\) | 2.67346 | − | 5.55017i | 0.771761 | − | 1.60220i | ||||
\(13\) | −6.72078 | −1.86401 | −0.932005 | − | 0.362446i | \(-0.881942\pi\) | ||||
−0.932005 | + | 0.362446i | \(0.881942\pi\) | |||||||
\(14\) | −1.90337 | − | 3.22137i | −0.508696 | − | 0.860946i | ||||
\(15\) | − | 3.08025i | − | 0.795317i | ||||||
\(16\) | −3.95543 | + | 0.595434i | −0.988859 | + | 0.148859i | ||||
\(17\) | 3.32426 | + | 1.91926i | 0.806252 | + | 0.465490i | 0.845652 | − | 0.533734i | \(-0.179212\pi\) |
−0.0394009 | + | 0.999223i | \(0.512545\pi\) | |||||||
\(18\) | −2.04212 | + | 8.94520i | −0.481333 | + | 2.10840i | ||||
\(19\) | −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 | −0.609617 | − | 0.792696i | \(-0.708677\pi\) |
0.381687 | + | 0.924292i | \(0.375343\pi\) | |||||||
\(24\) | 8.11046 | − | 3.18182i | 1.65554 | − | 0.649486i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −6.96708 | − | 6.46511i | −1.36636 | − | 1.26791i | ||||
\(27\) | − | 10.7438i | − | 2.06764i | ||||||
\(28\) | 1.12570 | − | 5.17038i | 0.212737 | − | 0.977110i | ||||
\(29\) | − | 3.04491i | − | 0.565426i | −0.959205 | − | 0.282713i | \(-0.908766\pi\) | ||
0.959205 | − | 0.282713i | \(-0.0912344\pi\) | |||||||
\(30\) | 2.96307 | − | 3.19313i | 0.540980 | − | 0.582984i | ||||
\(31\) | −0.0335679 | + | 0.0581414i | −0.00602898 | + | 0.0104425i | −0.869024 | − | 0.494770i | \(-0.835252\pi\) |
0.862995 | + | 0.505212i | \(0.168586\pi\) | |||||||
\(32\) | −4.67317 | − | 3.18770i | −0.826108 | − | 0.563512i | ||||
\(33\) | 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 | −0.458444 | − | 0.888723i | \(-0.651593\pi\) |
0.540435 | + | 0.841386i | \(0.318260\pi\) | |||||||
\(38\) | −0.984749 | − | 0.224811i | −0.159747 | − | 0.0364691i | ||||
\(39\) | 17.9282 | + | 10.3508i | 2.87081 | + | 1.65746i | ||||
\(40\) | −2.79678 | − | 0.421945i | −0.442209 | − | 0.0667153i | ||||
\(41\) | − | 0.230821i | − | 0.0360483i | −0.999838 | − | 0.0180241i | \(-0.994262\pi\) | ||
0.999838 | − | 0.0180241i | \(-0.00573757\pi\) | |||||||
\(42\) | 0.116067 | + | 11.5247i | 0.0179095 | + | 1.77829i | ||||
\(43\) | 10.0631 | 1.53462 | 0.767308 | − | 0.641279i | \(-0.221596\pi\) | ||||
0.767308 | + | 0.641279i | \(0.221596\pi\) | |||||||
\(44\) | −5.91792 | − | 2.85060i | −0.892160 | − | 0.429744i | ||||
\(45\) | −3.24397 | + | 5.61873i | −0.483583 | + | 0.837591i | ||||
\(46\) | −1.74028 | − | 0.397292i | −0.256590 | − | 0.0585775i | ||||
\(47\) | 4.23402 | + | 7.33354i | 0.617595 | + | 1.06971i | 0.989923 | + | 0.141605i | \(0.0452263\pi\) |
−0.372328 | + | 0.928101i | \(0.621440\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | −1.00324 | − | 13.4041i | −0.139125 | − | 1.85881i | ||||
\(53\) | −2.16915 | − | 1.25236i | −0.297955 | − | 0.172024i | 0.343569 | − | 0.939128i | \(-0.388364\pi\) |
−0.641524 | + | 0.767103i | \(0.721697\pi\) | |||||||
\(54\) | 10.3350 | − | 11.1375i | 1.40642 | − | 1.51562i | ||||
\(55\) | −3.28435 | −0.442861 | ||||||||
\(56\) | 6.14064 | − | 4.27698i | 0.820577 | − | 0.571536i | ||||
\(57\) | 2.20003 | 0.291401 | ||||||||
\(58\) | 2.92908 | − | 3.15650i | 0.384606 | − | 0.414469i | ||||
\(59\) | 0.986424 | + | 0.569512i | 0.128422 | + | 0.0741442i | 0.562835 | − | 0.826570i | \(-0.309711\pi\) |
−0.434413 | + | 0.900714i | \(0.643044\pi\) | |||||||
\(60\) | 6.14332 | − | 0.459804i | 0.793099 | − | 0.0593605i | ||||
\(61\) | 0.0888960 | + | 0.153972i | 0.0113820 | + | 0.0197141i | 0.871660 | − | 0.490111i | \(-0.163044\pi\) |
−0.860278 | + | 0.509825i | \(0.829710\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | 13.9482 | + | 3.18427i | 1.71690 | + | 0.391956i | ||||
\(67\) | −6.92927 | + | 12.0019i | −0.846545 | + | 1.46626i | 0.0377270 | + | 0.999288i | \(0.487988\pi\) |
−0.884272 | + | 0.466971i | \(0.845345\pi\) | |||||||
\(68\) | −3.33159 | + | 6.91647i | −0.404015 | + | 0.838746i | ||||
\(69\) | 3.88796 | 0.468055 | ||||||||
\(70\) | 1.83810 | − | 3.25905i | 0.219695 | − | 0.389531i | ||||
\(71\) | − | 12.0720i | − | 1.43268i | −0.697749 | − | 0.716342i | \(-0.745815\pi\) | ||
0.697749 | − | 0.716342i | \(-0.254185\pi\) | |||||||
\(72\) | −18.1453 | − | 2.73756i | −2.13845 | − | 0.322624i | ||||
\(73\) | −3.89739 | − | 2.25016i | −0.456155 | − | 0.263361i | 0.254271 | − | 0.967133i | \(-0.418164\pi\) |
−0.710426 | + | 0.703772i | \(0.751498\pi\) | |||||||
\(74\) | 0.794003 | + | 0.181265i | 0.0923010 | + | 0.0210716i | ||||
\(75\) | 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 | −0.932929 | − | 0.360061i | \(-0.882756\pi\) |
−0.154643 | + | 0.987970i | \(0.549423\pi\) | |||||||
\(80\) | −2.49338 | − | 3.12779i | −0.278768 | − | 0.349697i | ||||
\(81\) | −6.81481 | + | 11.8036i | −0.757202 | + | 1.31151i | ||||
\(82\) | 0.222040 | − | 0.239280i | 0.0245203 | − | 0.0264241i | ||||
\(83\) | − | 3.24478i | − | 0.356161i | −0.984016 | − | 0.178081i | \(-0.943011\pi\) | ||
0.984016 | − | 0.178081i | \(-0.0569888\pi\) | |||||||
\(84\) | −10.9659 | + | 12.0587i | −1.19648 | + | 1.31571i | ||||
\(85\) | 3.83853i | 0.416347i | ||||||||
\(86\) | 10.4319 | + | 9.68032i | 1.12490 | + | 1.04386i | ||||
\(87\) | −4.68955 | + | 8.12253i | −0.502772 | + | 0.870827i | ||||
\(88\) | −3.39264 | − | 8.64786i | −0.361657 | − | 0.921865i | ||||
\(89\) | −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 | ||||
\(94\) | −2.66537 | + | 11.6752i | −0.274912 | + | 1.20421i | ||||
\(95\) | −0.618548 | − | 0.357119i | −0.0634617 | − | 0.0366396i | ||||
\(96\) | 7.55658 | + | 15.7007i | 0.771240 | + | 1.60245i | ||||
\(97\) | − | 5.76555i | − | 0.585403i | −0.956204 | − | 0.292701i | \(-0.905446\pi\) | ||
0.956204 | − | 0.292701i | \(-0.0945542\pi\) | |||||||
\(98\) | 2.39722 | + | 9.60486i | 0.242156 | + | 0.970237i | ||||
\(99\) | −21.3087 | −2.14160 | ||||||||
\(100\) | −1.80186 | − | 0.867935i | −0.180186 | − | 0.0867935i | ||||
\(101\) | −5.65852 | + | 9.80085i | −0.563044 | + | 0.975221i | 0.434185 | + | 0.900824i | \(0.357037\pi\) |
−0.997229 | + | 0.0743970i | \(0.976297\pi\) | |||||||
\(102\) | 3.72156 | − | 16.3017i | 0.368489 | − | 1.61411i | ||||
\(103\) | −0.346486 | − | 0.600132i | −0.0341403 | − | 0.0591327i | 0.848450 | − | 0.529275i | \(-0.177536\pi\) |
−0.882591 | + | 0.470142i | \(0.844203\pi\) | |||||||
\(104\) | 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 | \(0.753753\pi\) | |||||||
\(108\) | 21.4276 | − | 1.60377i | 2.06187 | − | 0.154323i | ||||
\(109\) | 10.6122 | + | 6.12698i | 1.01647 | + | 0.586858i | 0.913079 | − | 0.407783i | \(-0.133698\pi\) |
0.103389 | + | 0.994641i | \(0.467031\pi\) | |||||||
\(110\) | −3.40471 | − | 3.15940i | −0.324626 | − | 0.301237i | ||||
\(111\) | −1.77389 | −0.168370 | ||||||||
\(112\) | 10.4800 | + | 1.47331i | 0.990262 | + | 0.139215i | ||||
\(113\) | −6.58353 | −0.619326 | −0.309663 | − | 0.950846i | \(-0.600216\pi\) | ||||
−0.309663 | + | 0.950846i | \(0.600216\pi\) | |||||||
\(114\) | 2.28066 | + | 2.11634i | 0.213603 | + | 0.198213i | ||||
\(115\) | −1.09312 | − | 0.631110i | −0.101934 | − | 0.0588514i | ||||
\(116\) | 6.07284 | − | 0.454529i | 0.563849 | − | 0.0422019i | ||||
\(117\) | −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 | ||||
\(122\) | −0.0559611 | + | 0.245129i | −0.00506648 | + | 0.0221930i | ||||
\(123\) | −0.355494 | + | 0.615734i | −0.0320538 | + | 0.0555188i | ||||
\(124\) | −0.120969 | − | 0.0582696i | −0.0108634 | − | 0.00523276i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 11.9255 | − | 21.1445i | 1.06241 | − | 1.88370i | ||||
\(127\) | 16.4627i | 1.46083i | 0.683004 | + | 0.730415i | \(0.260673\pi\) | ||||
−0.683004 | + | 0.730415i | \(0.739327\pi\) | |||||||
\(128\) | 5.66004 | − | 9.79612i | 0.500282 | − | 0.865863i | ||||
\(129\) | −26.8442 | − | 15.4985i | −2.36350 | − | 1.36457i | ||||
\(130\) | 2.11541 | − | 9.26622i | 0.185533 | − | 0.812701i | ||||
\(131\) | −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 | ||||
\(136\) | −10.1070 | + | 3.96510i | −0.866671 | + | 0.340004i | ||||
\(137\) | 4.22144 | − | 7.31175i | 0.360662 | − | 0.624685i | −0.627408 | − | 0.778691i | \(-0.715884\pi\) |
0.988070 | + | 0.154006i | \(0.0492175\pi\) | |||||||
\(138\) | 4.03044 | + | 3.74005i | 0.343094 | + | 0.318374i | ||||
\(139\) | 19.1037i | 1.62036i | 0.586182 | + | 0.810179i | \(0.300630\pi\) | ||||
−0.586182 | + | 0.810179i | \(0.699370\pi\) | |||||||
\(140\) | 5.04053 | − | 1.61031i | 0.426002 | − | 0.136096i | ||||
\(141\) | − | 26.0837i | − | 2.19664i | ||||||
\(142\) | 11.6128 | − | 12.5144i | 0.974521 | − | 1.05019i | ||||
\(143\) | 11.0367 | − | 19.1161i | 0.922934 | − | 1.59857i | ||||
\(144\) | −16.1769 | − | 20.2929i | −1.34808 | − | 1.69108i | ||||
\(145\) | 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 | −0.250801 | − | 0.968039i | \(-0.580694\pi\) |
0.712946 | + | 0.701219i | \(0.247361\pi\) | |||||||
\(150\) | 4.24687 | + | 0.969528i | 0.346756 | + | 0.0791616i | ||||
\(151\) | −6.19052 | − | 3.57410i | −0.503777 | − | 0.290856i | 0.226495 | − | 0.974012i | \(-0.427273\pi\) |
−0.730272 | + | 0.683156i | \(0.760607\pi\) | |||||||
\(152\) | 0.301369 | − | 1.99756i | 0.0244443 | − | 0.162024i | ||||
\(153\) | 24.9042i | 2.01338i | ||||||||
\(154\) | 12.2883 | − | 0.123757i | 0.990217 | − | 0.00997265i | ||||
\(155\) | −0.0671359 | −0.00539248 | ||||||||
\(156\) | −17.9677 | + | 37.3015i | −1.43857 | + | 2.98651i | ||||
\(157\) | −11.5674 | + | 20.0353i | −0.923176 | + | 1.59899i | −0.128706 | + | 0.991683i | \(0.541082\pi\) |
−0.794469 | + | 0.607304i | \(0.792251\pi\) | |||||||
\(158\) | −15.3895 | − | 3.51330i | −1.22432 | − | 0.279503i | ||||
\(159\) | 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 | \(0.843692\pi\) | |||||||
\(164\) | 0.460355 | − | 0.0344559i | 0.0359477 | − | 0.00269055i | ||||
\(165\) | 8.76124 | + | 5.05831i | 0.682062 | + | 0.393789i | ||||
\(166\) | 3.12134 | − | 3.36370i | 0.242263 | − | 0.261073i | ||||
\(167\) | 3.59980 | 0.278561 | 0.139280 | − | 0.990253i | \(-0.455521\pi\) | ||||
0.139280 | + | 0.990253i | \(0.455521\pi\) | |||||||
\(168\) | −22.9677 | + | 1.95183i | −1.77200 | + | 0.150587i | ||||
\(169\) | 32.1689 | 2.47453 | ||||||||
\(170\) | −3.69250 | + | 3.97920i | −0.283202 | + | 0.305190i | ||||
\(171\) | −4.01311 | − | 2.31697i | −0.306890 | − | 0.177183i | ||||
\(172\) | 1.50218 | + | 20.0702i | 0.114540 | + | 1.53033i | ||||
\(173\) | 5.28828 | + | 9.15958i | 0.402061 | + | 0.696390i | 0.993974 | − | 0.109612i | \(-0.0349607\pi\) |
−0.591914 | + | 0.806001i | \(0.701627\pi\) | |||||||
\(174\) | −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 | ||||
\(178\) | −21.1977 | − | 4.83926i | −1.58883 | − | 0.362718i | ||||
\(179\) | 9.34059 | − | 16.1784i | 0.698149 | − | 1.20923i | −0.270959 | − | 0.962591i | \(-0.587341\pi\) |
0.969108 | − | 0.246638i | \(-0.0793260\pi\) | |||||||
\(180\) | −11.6904 | − | 5.63112i | −0.871348 | − | 0.419719i | ||||
\(181\) | 17.3231 | 1.28761 | 0.643807 | − | 0.765188i | \(-0.277354\pi\) | ||||
0.643807 | + | 0.765188i | \(0.277354\pi\) | |||||||
\(182\) | 12.7921 | + | 21.6501i | 0.948214 | + | 1.60481i | ||||
\(183\) | − | 0.547644i | − | 0.0404830i | ||||||
\(184\) | 0.532588 | − | 3.53015i | 0.0392629 | − | 0.260246i | ||||
\(185\) | 0.498735 | + | 0.287945i | 0.0366677 | + | 0.0211701i | ||||
\(186\) | 0.285117 | + | 0.0650901i | 0.0209058 | + | 0.00477264i | ||||
\(187\) | −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 | −0.739154 | − | 0.673536i | \(-0.764775\pi\) |
0.213722 | + | 0.976894i | \(0.431441\pi\) | |||||||
\(192\) | −7.26992 | + | 23.5452i | −0.524661 | + | 1.69923i | ||||
\(193\) | 4.32438 | − | 7.49005i | 0.311276 | − | 0.539146i | −0.667363 | − | 0.744733i | \(-0.732577\pi\) |
0.978639 | + | 0.205587i | \(0.0659103\pi\) | |||||||
\(194\) | 5.54621 | − | 5.97684i | 0.398195 | − | 0.429112i | ||||
\(195\) | 20.7017i | 1.48248i | ||||||||
\(196\) | −6.75439 | + | 12.2629i | −0.482457 | + | 0.875920i | ||||
\(197\) | − | 9.70322i | − | 0.691326i | −0.938359 | − | 0.345663i | \(-0.887654\pi\) | ||
0.938359 | − | 0.345663i | \(-0.112346\pi\) | |||||||
\(198\) | −22.0896 | − | 20.4980i | −1.56984 | − | 1.45673i | ||||
\(199\) | 0.189423 | − | 0.328090i | 0.0134278 | − | 0.0232577i | −0.859233 | − | 0.511584i | \(-0.829059\pi\) |
0.872661 | + | 0.488326i | \(0.162392\pi\) | |||||||
\(200\) | −1.03297 | − | 2.63305i | −0.0730423 | − | 0.186185i | ||||
\(201\) | 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 | ||||
\(206\) | 0.218117 | − | 0.955430i | 0.0151970 | − | 0.0665680i | ||||
\(207\) | −7.09208 | − | 4.09461i | −0.492933 | − | 0.284595i | ||||
\(208\) | 26.5836 | − | 4.00178i | 1.84324 | − | 0.277474i | ||||
\(209\) | − | 2.34580i | − | 0.162263i | ||||||
\(210\) | −9.92262 | + | 5.86285i | −0.684726 | + | 0.404575i | ||||
\(211\) | 1.17567 | 0.0809367 | 0.0404684 | − | 0.999181i | \(-0.487115\pi\) | ||||
0.0404684 | + | 0.999181i | \(0.487115\pi\) | |||||||
\(212\) | 2.17393 | − | 4.51314i | 0.149306 | − | 0.309964i | ||||
\(213\) | −18.5924 | + | 32.2030i | −1.27393 | + | 2.20651i | ||||
\(214\) | −1.61107 | + | 7.05706i | −0.110131 | + | 0.482411i | ||||
\(215\) | 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 | ||||
\(220\) | −0.490271 | − | 6.55037i | −0.0330540 | − | 0.441626i | ||||
\(221\) | −22.3416 | − | 12.8989i | −1.50286 | − | 0.867677i | ||||
\(222\) | −1.83889 | − | 1.70640i | −0.123418 | − | 0.114526i | ||||
\(223\) | −7.97945 | −0.534343 | −0.267172 | − | 0.963649i | \(-0.586089\pi\) | ||||
−0.267172 | + | 0.963649i | \(0.586089\pi\) | |||||||
\(224\) | 9.44675 | + | 11.6086i | 0.631188 | + | 0.775630i | ||||
\(225\) | −6.48795 | −0.432530 | ||||||||
\(226\) | −6.82480 | − | 6.33307i | −0.453979 | − | 0.421270i | ||||
\(227\) | −5.41980 | − | 3.12912i | −0.359725 | − | 0.207687i | 0.309235 | − | 0.950986i | \(-0.399927\pi\) |
−0.668960 | + | 0.743298i | \(0.733260\pi\) | |||||||
\(228\) | 0.328410 | + | 4.38779i | 0.0217495 | + | 0.290589i | ||||
\(229\) | −6.97388 | − | 12.0791i | −0.460847 | − | 0.798211i | 0.538156 | − | 0.842845i | \(-0.319121\pi\) |
−0.999003 | + | 0.0446343i | \(0.985788\pi\) | |||||||
\(230\) | −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 | \(0.833913\pi\) | |||||||
\(234\) | 13.7247 | − | 60.1188i | 0.897209 | − | 3.93009i | ||||
\(235\) | −4.23402 | + | 7.33354i | −0.276197 | + | 0.478387i | ||||
\(236\) | −0.988599 | + | 2.05236i | −0.0643523 | + | 0.133597i | ||||
\(237\) | 34.3817 | 2.23333 | ||||||||
\(238\) | −0.144639 | − | 14.3617i | −0.00937558 | − | 0.930932i | ||||
\(239\) | 7.90839i | 0.511552i | 0.966736 | + | 0.255776i | \(0.0823309\pi\) | ||||
−0.966736 | + | 0.255776i | \(0.917669\pi\) | |||||||
\(240\) | 1.83409 | + | 12.1837i | 0.118390 | + | 0.786456i | ||||
\(241\) | −11.6219 | − | 6.70993i | −0.748635 | − | 0.432225i | 0.0765652 | − | 0.997065i | \(-0.475605\pi\) |
−0.825201 | + | 0.564840i | \(0.808938\pi\) | |||||||
\(242\) | −0.0670647 | + | 0.293767i | −0.00431109 | + | 0.0188841i | ||||
\(243\) | 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 | ||||
\(248\) | −0.0693496 | − | 0.176772i | −0.00440370 | − | 0.0112251i | ||||
\(249\) | −4.99737 | + | 8.65570i | −0.316696 | + | 0.548533i | ||||
\(250\) | −1.03665 | − | 0.961958i | −0.0655633 | − | 0.0608395i | ||||
\(251\) | − | 18.3987i | − | 1.16132i | −0.814148 | − | 0.580658i | \(-0.802795\pi\) | ||
0.814148 | − | 0.580658i | \(-0.197205\pi\) | |||||||
\(252\) | 32.7027 | − | 10.4476i | 2.06008 | − | 0.658136i | ||||
\(253\) | − | 4.14557i | − | 0.260630i | ||||||
\(254\) | −15.8364 | + | 17.0660i | −0.993666 | + | 1.07082i | ||||
\(255\) | 5.91181 | − | 10.2396i | 0.370212 | − | 0.641226i | ||||
\(256\) | 15.2909 | − | 4.71040i | 0.955682 | − | 0.294400i | ||||
\(257\) | −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 | ||||
\(262\) | −0.710590 | − | 0.162222i | −0.0439004 | − | 0.0100221i | ||||
\(263\) | 17.3117 | + | 9.99491i | 1.06748 | + | 0.616313i | 0.927493 | − | 0.373840i | \(-0.121959\pi\) |
0.139992 | + | 0.990153i | \(0.455292\pi\) | |||||||
\(264\) | −4.26865 | + | 28.2939i | −0.262717 | + | 1.74137i | ||||
\(265\) | − | 2.50471i | − | 0.153863i | ||||||
\(266\) | 2.32773 | + | 1.31284i | 0.142723 | + | 0.0804955i | ||||
\(267\) | 47.3578 | 2.89825 | ||||||||
\(268\) | −24.9711 | − | 12.0283i | −1.52535 | − | 0.734746i | ||||
\(269\) | 11.9143 | − | 20.6361i | 0.726426 | − | 1.25821i | −0.231958 | − | 0.972726i | \(-0.574513\pi\) |
0.958384 | − | 0.285481i | \(-0.0921533\pi\) | |||||||
\(270\) | 14.8129 | + | 3.38166i | 0.901482 | + | 0.205802i | ||||
\(271\) | 9.94307 | + | 17.2219i | 0.603999 | + | 1.04616i | 0.992209 | + | 0.124585i | \(0.0397601\pi\) |
−0.388210 | + | 0.921571i | \(0.626907\pi\) | |||||||
\(272\) | −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 | ||||
\(276\) | 0.580374 | + | 7.75423i | 0.0349344 | + | 0.466750i | ||||
\(277\) | 17.1311 | + | 9.89062i | 1.02931 | + | 0.594270i | 0.916786 | − | 0.399380i | \(-0.130774\pi\) |
0.112520 | + | 0.993649i | \(0.464108\pi\) | |||||||
\(278\) | −18.3770 | + | 19.8038i | −1.10218 | + | 1.18776i | ||||
\(279\) | −0.435574 | −0.0260771 | ||||||||
\(280\) | 6.77429 | + | 3.17945i | 0.404842 | + | 0.190009i | ||||
\(281\) | −9.91394 | −0.591416 | −0.295708 | − | 0.955278i | \(-0.595556\pi\) | ||||
−0.295708 | + | 0.955278i | \(0.595556\pi\) | |||||||
\(282\) | 25.0914 | − | 27.0396i | 1.49417 | − | 1.61018i | ||||
\(283\) | 23.3509 | + | 13.4816i | 1.38806 | + | 0.801399i | 0.993097 | − | 0.117296i | \(-0.0374225\pi\) |
0.394967 | + | 0.918695i | \(0.370756\pi\) | |||||||
\(284\) | 24.0767 | − | 1.80205i | 1.42869 | − | 0.106932i | ||||
\(285\) | 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 | ||||
\(290\) | 4.19815 | + | 0.958404i | 0.246524 | + | 0.0562794i | ||||
\(291\) | −8.87967 | + | 15.3800i | −0.520535 | + | 0.901594i | ||||
\(292\) | 3.90598 | − | 8.10892i | 0.228580 | − | 0.474539i | ||||
\(293\) | 2.04836 | 0.119666 | 0.0598332 | − | 0.998208i | \(-0.480943\pi\) | ||||
0.0598332 | + | 0.998208i | \(0.480943\pi\) | |||||||
\(294\) | 8.39791 | − | 29.3137i | 0.489776 | − | 1.70961i | ||||
\(295\) | 1.13902i | 0.0663166i | ||||||||
\(296\) | −0.242994 | + | 1.61064i | −0.0141237 | + | 0.0936163i | ||||
\(297\) | 30.5588 | + | 17.6431i | 1.77320 | + | 1.02376i | ||||
\(298\) | 8.98098 | + | 2.05029i | 0.520254 | + | 0.118770i | ||||
\(299\) | 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 | ||||
\(304\) | 2.23399 | − | 1.78086i | 0.128128 | − | 0.102140i | ||||
\(305\) | −0.0888960 | + | 0.153972i | −0.00509017 | + | 0.00881644i | ||||
\(306\) | −23.9567 | + | 25.8168i | −1.36952 | + | 1.47585i | ||||
\(307\) | 7.59189i | 0.433292i | 0.976250 | + | 0.216646i | \(0.0695118\pi\) | ||||
−0.976250 | + | 0.216646i | \(0.930488\pi\) | |||||||
\(308\) | 12.8577 | + | 11.6925i | 0.732633 | + | 0.666242i | ||||
\(309\) | 2.13453i | 0.121429i | ||||||||
\(310\) | −0.0695962 | − | 0.0645819i | −0.00395280 | − | 0.00366800i | ||||
\(311\) | −8.84137 | + | 15.3137i | −0.501348 | + | 0.868360i | 0.498651 | + | 0.866803i | \(0.333829\pi\) |
−0.999999 | + | 0.00155721i | \(0.999504\pi\) | |||||||
\(312\) | −54.5087 | + | 21.3843i | −3.08594 | + | 1.21065i | ||||
\(313\) | 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 | −0.528902 | − | 0.848683i | \(-0.677396\pi\) |
0.470530 | + | 0.882384i | \(0.344063\pi\) | |||||||
\(318\) | −2.42839 | + | 10.6372i | −0.136177 | + | 0.596504i | ||||
\(319\) | 8.66072 | + | 5.00027i | 0.484907 | + | 0.279961i | ||||
\(320\) | 5.86593 | − | 5.43975i | 0.327916 | − | 0.304091i | ||||
\(321\) | − | 15.7662i | − | 0.879984i | ||||||
\(322\) | 4.11364 | + | 2.32009i | 0.229244 | + | 0.129294i | ||||
\(323\) | −2.74162 | −0.152548 | ||||||||
\(324\) | −24.5586 | − | 11.8296i | −1.36437 | − | 0.657202i | ||||
\(325\) | 3.36039 | − | 5.82037i | 0.186401 | − | 0.322856i | ||||
\(326\) | 0.261507 | − | 1.14549i | 0.0144836 | − | 0.0634430i | ||||
\(327\) | −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 | \(0.886295\pi\) | |||||||
\(332\) | 6.47146 | − | 0.484365i | 0.355168 | − | 0.0265830i | ||||
\(333\) | 3.23577 | + | 1.86817i | 0.177319 | + | 0.102375i | ||||
\(334\) | 3.73172 | + | 3.46286i | 0.204191 | + | 0.189479i | ||||
\(335\) | −13.8585 | −0.757173 | ||||||||
\(336\) | −25.6870 | − | 20.0706i | −1.40134 | − | 1.09494i | ||||
\(337\) | −17.3124 | −0.943069 | −0.471534 | − | 0.881848i | \(-0.656300\pi\) | ||||
−0.471534 | + | 0.881848i | \(0.656300\pi\) | |||||||
\(338\) | 33.3478 | + | 30.9451i | 1.81388 | + | 1.68319i | ||||
\(339\) | 17.5621 | + | 10.1395i | 0.953840 | + | 0.550700i | ||||
\(340\) | −7.65564 | + | 0.572996i | −0.415185 | + | 0.0310750i | ||||
\(341\) | −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 | ||||
\(346\) | −3.32904 | + | 14.5824i | −0.178970 | + | 0.783952i | ||||
\(347\) | −2.07692 | + | 3.59734i | −0.111495 | + | 0.193115i | −0.916373 | − | 0.400325i | \(-0.868897\pi\) |
0.804878 | + | 0.593440i | \(0.202231\pi\) | |||||||
\(348\) | −16.8998 | − | 8.14044i | −0.905923 | − | 0.436373i | ||||
\(349\) | 12.1023 | 0.647823 | 0.323912 | − | 0.946087i | \(-0.395002\pi\) | ||||
0.323912 | + | 0.946087i | \(0.395002\pi\) | |||||||
\(350\) | 3.74147 | − | 0.0376810i | 0.199990 | − | 0.00201413i | ||||
\(351\) | 72.2064i | 3.85409i | ||||||||
\(352\) | 16.7410 | − | 8.05727i | 0.892300 | − | 0.429454i | ||||
\(353\) | 10.4647 | + | 6.04182i | 0.556982 | + | 0.321573i | 0.751933 | − | 0.659239i | \(-0.229122\pi\) |
−0.194952 | + | 0.980813i | \(0.562455\pi\) | |||||||
\(354\) | 1.10432 | − | 4.83729i | 0.0586938 | − | 0.257099i | ||||
\(355\) | 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 | −0.715883 | − | 0.698221i | \(-0.753975\pi\) |
0.246735 | + | 0.969083i | \(0.420642\pi\) | |||||||
\(360\) | −6.70188 | − | 17.0831i | −0.353220 | − | 0.900359i | ||||
\(361\) | −9.24493 | + | 16.0127i | −0.486575 | + | 0.842773i | ||||
\(362\) | 17.9579 | + | 16.6641i | 0.943846 | + | 0.875843i | ||||
\(363\) | − | 0.656306i | − | 0.0344471i | ||||||
\(364\) | −7.56557 | + | 34.7490i | −0.396543 | + | 1.82134i | ||||
\(365\) | − | 4.50031i | − | 0.235557i | ||||||
\(366\) | 0.526811 | − | 0.567714i | 0.0275368 | − | 0.0296749i | ||||
\(367\) | 9.27079 | − | 16.0575i | 0.483931 | − | 0.838194i | −0.515898 | − | 0.856650i | \(-0.672542\pi\) |
0.999830 | + | 0.0184562i | \(0.00587511\pi\) | |||||||
\(368\) | 3.94796 | − | 3.14719i | 0.205802 | − | 0.164059i | ||||
\(369\) | 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 | −0.959336 | − | 0.282266i | \(-0.908914\pi\) |
−0.235219 | + | 0.971942i | \(0.575581\pi\) | |||||||
\(374\) | −17.3819 | − | 3.96815i | −0.898795 | − | 0.205188i | ||||
\(375\) | 2.66758 | + | 1.54013i | 0.137753 | + | 0.0795317i | ||||
\(376\) | −23.6832 | − | 3.57305i | −1.22137 | − | 0.184266i | ||||
\(377\) | 20.4642i | 1.05396i | ||||||||
\(378\) | −34.6096 | + | 20.4493i | −1.78012 | + | 1.05180i | ||||
\(379\) | −24.7032 | −1.26892 | −0.634459 | − | 0.772956i | \(-0.718777\pi\) | ||||
−0.634459 | + | 0.772956i | \(0.718777\pi\) | |||||||
\(380\) | 0.619912 | − | 1.28695i | 0.0318008 | − | 0.0660194i | ||||
\(381\) | 25.3546 | − | 43.9155i | 1.29896 | − | 2.24986i | ||||
\(382\) | −11.5607 | − | 2.63923i | −0.591498 | − | 0.135035i | ||||
\(383\) | −9.52490 | − | 16.4976i | −0.486700 | − | 0.842989i | 0.513183 | − | 0.858279i | \(-0.328466\pi\) |
−0.999883 | + | 0.0152904i | \(0.995133\pi\) | |||||||
\(384\) | −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 | ||||
\(388\) | 11.4989 | − | 0.860652i | 0.583770 | − | 0.0436930i | ||||
\(389\) | −26.6121 | − | 15.3645i | −1.34929 | − | 0.779010i | −0.361137 | − | 0.932513i | \(-0.617611\pi\) |
−0.988148 | + | 0.153502i | \(0.950945\pi\) | |||||||
\(390\) | −19.9142 | + | 21.4604i | −1.00839 | + | 1.08669i | ||||
\(391\) | −4.84507 | −0.245026 | ||||||||
\(392\) | −18.7983 | + | 6.21484i | −0.949457 | + | 0.313897i | ||||
\(393\) | 1.58753 | 0.0800803 | ||||||||
\(394\) | 9.33409 | − | 10.0588i | 0.470244 | − | 0.506756i | ||||
\(395\) | −9.66655 | − | 5.58099i | −0.486377 | − | 0.280810i | ||||
\(396\) | −3.18085 | − | 42.4985i | −0.159844 | − | 2.13563i | ||||
\(397\) | 14.3388 | + | 24.8356i | 0.719646 | + | 1.24646i | 0.961140 | + | 0.276061i | \(0.0890292\pi\) |
−0.241494 | + | 0.970402i | \(0.577637\pi\) | |||||||
\(398\) | 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 | \(0.890733\pi\) | |||||||
\(402\) | 58.8554 | + | 13.4362i | 2.93544 | + | 0.670139i | ||||
\(403\) | 0.225603 | − | 0.390755i | 0.0112381 | − | 0.0194649i | ||||
\(404\) | −20.3917 | − | 9.82246i | −1.01452 | − | 0.488686i | ||||
\(405\) | −13.6296 | −0.677262 | ||||||||
\(406\) | −9.80877 | + | 5.79558i | −0.486801 | + | 0.287630i | ||||
\(407\) | 1.89142i | 0.0937543i | ||||||||
\(408\) | 33.0680 | + | 4.98892i | 1.63711 | + | 0.246988i | ||||
\(409\) | −13.5732 | − | 7.83652i | −0.671154 | − | 0.387491i | 0.125360 | − | 0.992111i | \(-0.459991\pi\) |
−0.796514 | + | 0.604620i | \(0.793325\pi\) | |||||||
\(410\) | 0.318243 | + | 0.0726525i | 0.0157169 | + | 0.00358805i | ||||
\(411\) | −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 | ||||
\(416\) | 31.4074 | + | 21.4239i | 1.53987 | + | 1.05039i | ||||
\(417\) | 29.4222 | − | 50.9607i | 1.44081 | − | 2.49556i | ||||
\(418\) | 2.25656 | − | 2.43177i | 0.110372 | − | 0.118942i | ||||
\(419\) | − | 36.8405i | − | 1.79978i | −0.436122 | − | 0.899888i | \(-0.643648\pi\) | ||
0.436122 | − | 0.899888i | \(-0.356352\pi\) | |||||||
\(420\) | −15.9261 | − | 3.46743i | −0.777112 | − | 0.169193i | ||||
\(421\) | − | 8.37624i | − | 0.408233i | −0.978947 | − | 0.204116i | \(-0.934568\pi\) | ||
0.978947 | − | 0.204116i | \(-0.0654321\pi\) | |||||||
\(422\) | 1.21876 | + | 1.13095i | 0.0593282 | + | 0.0550537i | ||||
\(423\) | −27.4701 | + | 47.5796i | −1.33564 | + | 2.31340i | ||||
\(424\) | 6.59504 | − | 2.58730i | 0.320284 | − | 0.125651i | ||||
\(425\) | −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 | ||||
\(430\) | −3.16744 | + | 13.8745i | −0.152747 | + | 0.669087i | ||||
\(431\) | 20.5648 | + | 11.8731i | 0.990570 | + | 0.571906i | 0.905445 | − | 0.424464i | \(-0.139538\pi\) |
0.0851256 | + | 0.996370i | \(0.472871\pi\) | |||||||
\(432\) | 6.39720 | + | 42.4962i | 0.307785 | + | 2.04460i | ||||
\(433\) | − | 6.49599i | − | 0.312177i | −0.987743 | − | 0.156089i | \(-0.950111\pi\) | ||
0.987743 | − | 0.156089i | \(-0.0498885\pi\) | |||||||
\(434\) | 0.251187 | − | 0.00252975i | 0.0120573 | − | 0.000121432i | ||||
\(435\) | −9.37909 | −0.449693 | ||||||||
\(436\) | −10.6356 | + | 22.0799i | −0.509355 | + | 1.05743i | ||||
\(437\) | 0.450763 | − | 0.780744i | 0.0215629 | − | 0.0373481i | ||||
\(438\) | −4.36318 | + | 19.1123i | −0.208481 | + | 0.913219i | ||||
\(439\) | −11.0256 | − | 19.0969i | −0.526223 | − | 0.911444i | −0.999533 | − | 0.0305486i | \(-0.990275\pi\) |
0.473311 | − | 0.880896i | \(-0.343059\pi\) | |||||||
\(440\) | 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 | \(0.876104\pi\) | |||||||
\(444\) | −0.264797 | − | 3.53788i | −0.0125667 | − | 0.167900i | ||||
\(445\) | −13.3148 | − | 7.68732i | −0.631183 | − | 0.364414i | ||||
\(446\) | −8.27187 | − | 7.67589i | −0.391684 | − | 0.363464i | ||||
\(447\) | −20.0644 | −0.949015 | ||||||||
\(448\) | −1.37400 | + | 21.1214i | −0.0649156 | + | 0.997891i | ||||
\(449\) | 16.7623 | 0.791063 | 0.395531 | − | 0.918452i | \(-0.370560\pi\) | ||||
0.395531 | + | 0.918452i | \(0.370560\pi\) | |||||||
\(450\) | −6.72571 | − | 6.24113i | −0.317053 | − | 0.294210i | ||||
\(451\) | 0.656532 | + | 0.379049i | 0.0309149 | + | 0.0178487i | ||||
\(452\) | −0.982755 | − | 13.1303i | −0.0462249 | − | 0.617599i | ||||
\(453\) | 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 | \(0.948826\pi\) | |||||||
\(458\) | 4.39015 | − | 19.2304i | 0.205138 | − | 0.898576i | ||||
\(459\) | 20.6201 | − | 35.7150i | 0.962463 | − | 1.66704i | ||||
\(460\) | 1.09553 | − | 2.27434i | 0.0510791 | − | 0.106042i | ||||
\(461\) | 28.7740 | 1.34014 | 0.670070 | − | 0.742298i | \(-0.266264\pi\) | ||||
0.670070 | + | 0.742298i | \(0.266264\pi\) | |||||||
\(462\) | −32.9705 | − | 18.5954i | −1.53393 | − | 0.865134i | ||||
\(463\) | − | 34.4369i | − | 1.60042i | −0.599720 | − | 0.800210i | \(-0.704721\pi\) | ||
0.599720 | − | 0.800210i | \(-0.295279\pi\) | |||||||
\(464\) | 1.81304 | + | 12.0439i | 0.0841685 | + | 0.559126i | ||||
\(465\) | 0.179090 | + | 0.103398i | 0.00830510 | + | 0.00479495i | ||||
\(466\) | 0.0174960 | − | 0.0766385i | 0.000810486 | − | 0.00355021i | ||||
\(467\) | 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 | ||||
\(472\) | −2.99911 | + | 1.17658i | −0.138045 | + | 0.0541566i | ||||
\(473\) | −16.5254 | + | 28.6229i | −0.759840 | + | 1.31608i | ||||
\(474\) | 35.6417 | + | 33.0737i | 1.63708 | + | 1.51913i | ||||
\(475\) | − | 0.714238i | − | 0.0327715i | ||||||
\(476\) | 13.6654 | − | 15.0272i | 0.626354 | − | 0.688769i | ||||
\(477\) | − | 16.2505i | − | 0.744057i | ||||||
\(478\) | −7.60754 | + | 8.19822i | −0.347961 | + | 0.374978i | ||||
\(479\) | 11.9755 | − | 20.7422i | 0.547175 | − | 0.947735i | −0.451292 | − | 0.892377i | \(-0.649037\pi\) |
0.998467 | − | 0.0553583i | \(-0.0176301\pi\) | |||||||
\(480\) | −9.81893 | + | 14.3945i | −0.448171 | + | 0.657018i | ||||
\(481\) | −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 | ||||
\(486\) | 13.4447 | + | 3.06932i | 0.609863 | + | 0.139227i | ||||
\(487\) | 21.5404 | + | 12.4364i | 0.976089 | + | 0.563545i | 0.901087 | − | 0.433638i | \(-0.142770\pi\) |
0.0750017 | + | 0.997183i | \(0.476104\pi\) | |||||||
\(488\) | −0.497245 | − | 0.0750185i | −0.0225092 | − | 0.00339593i | ||||
\(489\) | 2.55915i | 0.115729i | ||||||||
\(490\) | −7.11944 | + | 6.87849i | −0.321624 | + | 0.310738i | ||||
\(491\) | −14.2945 | −0.645102 | −0.322551 | − | 0.946552i | \(-0.604540\pi\) | ||||
−0.322551 | + | 0.946552i | \(0.604540\pi\) | |||||||
\(492\) | −1.28110 | − | 0.617091i | −0.0577564 | − | 0.0278206i | ||||
\(493\) | 5.84398 | − | 10.1221i | 0.263200 | − | 0.455875i | ||||
\(494\) | 6.61829 | + | 1.51090i | 0.297771 | + | 0.0679788i | ||||
\(495\) | −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 | \(0.829789\pi\) | |||||||
\(500\) | −0.149275 | − | 1.99442i | −0.00667578 | − | 0.0891932i | ||||
\(501\) | −9.60274 | − | 5.54414i | −0.429019 | − | 0.247694i | ||||
\(502\) | 17.6988 | − | 19.0730i | 0.789935 | − | 0.851268i | ||||
\(503\) | 14.1052 | 0.628918 | 0.314459 | − | 0.949271i | \(-0.398177\pi\) | ||||
0.314459 | + | 0.949271i | \(0.398177\pi\) | |||||||
\(504\) | 43.9513 | + | 20.6281i | 1.95775 | + | 0.918850i | ||||
\(505\) | −11.3170 | −0.503602 | ||||||||
\(506\) | 3.98786 | − | 4.29749i | 0.177282 | − | 0.191047i | ||||
\(507\) | −85.8130 | − | 49.5441i | −3.81109 | − | 2.20033i | ||||
\(508\) | −32.8336 | + | 2.45747i | −1.45675 | + | 0.109033i | ||||
\(509\) | 13.9373 | + | 24.1401i | 0.617760 | + | 1.06999i | 0.989894 | + | 0.141813i | \(0.0452930\pi\) |
−0.372133 | + | 0.928179i | \(0.621374\pi\) | |||||||
\(510\) | 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 | ||||
\(514\) | −41.2483 | − | 9.41666i | −1.81938 | − | 0.415351i | ||||
\(515\) | 0.346486 | − | 0.600132i | 0.0152680 | − | 0.0264450i | ||||
\(516\) | 26.9034 | − | 55.8522i | 1.18436 | − | 2.45876i | ||||
\(517\) | −27.8120 | −1.22317 | ||||||||
\(518\) | −1.87685 | − | 1.05854i | −0.0824641 | − | 0.0465097i | ||||
\(519\) | − | 32.5785i | − | 1.43004i | ||||||
\(520\) | 18.7965 | + | 2.83580i | 0.824282 | + | 0.124358i | ||||
\(521\) | 14.0644 | + | 8.12006i | 0.616171 | + | 0.355746i | 0.775377 | − | 0.631499i | \(-0.217560\pi\) |
−0.159206 | + | 0.987245i | \(0.550893\pi\) | |||||||
\(522\) | 27.2374 | + | 6.21808i | 1.19215 | + | 0.272158i | ||||
\(523\) | −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 | ||||
\(528\) | −31.6426 | + | 25.2245i | −1.37707 | + | 1.09776i | ||||
\(529\) | −10.7034 | + | 18.5388i | −0.465365 | + | 0.806036i | ||||
\(530\) | 2.40943 | − | 2.59650i | 0.104659 | − | 0.112785i | ||||
\(531\) | 7.38993i | 0.320696i | ||||||||
\(532\) | 1.15014 | + | 3.60014i | 0.0498650 | + | 0.156086i | ||||
\(533\) | 1.55130i | 0.0671943i | ||||||||
\(534\) | 49.0933 | + | 45.5562i | 2.12447 | + | 1.97141i | ||||
\(535\) | −2.55924 | + | 4.43274i | −0.110646 | + | 0.191644i | ||||
\(536\) | −14.3155 | − | 36.4903i | −0.618336 | − | 1.57614i | ||||
\(537\) | −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 | −0.622389 | − | 0.782708i | \(-0.713838\pi\) |
0.366650 | + | 0.930359i | \(0.380505\pi\) | |||||||
\(542\) | −6.25929 | + | 27.4179i | −0.268859 | + | 1.17770i | ||||
\(543\) | −46.2106 | − | 26.6797i | −1.98309 | − | 1.14494i | ||||
\(544\) | −9.41680 | − | 19.5658i | −0.403742 | − | 0.838877i | ||||
\(545\) | 12.2540i | 0.524902i | ||||||||
\(546\) | −0.780060 | − | 77.4547i | −0.0333835 | − | 3.31476i | ||||
\(547\) | −25.9783 | −1.11075 | −0.555376 | − | 0.831599i | \(-0.687426\pi\) | ||||
−0.555376 | + | 0.831599i | \(0.687426\pi\) | |||||||
\(548\) | 15.2129 | + | 7.32787i | 0.649861 | + | 0.313031i | ||||
\(549\) | −0.576753 | + | 0.998965i | −0.0246152 | + | 0.0426348i | ||||
\(550\) | 1.03377 | − | 4.52827i | 0.0440800 | − | 0.193086i | ||||
\(551\) | 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 | ||||
\(556\) | −38.1009 | + | 2.85171i | −1.61584 | + | 0.120939i | ||||
\(557\) | −6.50339 | − | 3.75473i | −0.275557 | − | 0.159093i | 0.355853 | − | 0.934542i | \(-0.384190\pi\) |
−0.631410 | + | 0.775449i | \(0.717524\pi\) | |||||||
\(558\) | −0.451537 | − | 0.419004i | −0.0191151 | − | 0.0177378i | ||||
\(559\) | −67.6322 | −2.86054 | ||||||||
\(560\) | 3.96405 | + | 9.81256i | 0.167512 | + | 0.414656i | ||||
\(561\) | 38.8329 | 1.63953 | ||||||||
\(562\) | −10.2773 | − | 9.53679i | −0.433520 | − | 0.402285i | ||||
\(563\) | 25.3072 | + | 14.6111i | 1.06657 | + | 0.615786i | 0.927243 | − | 0.374460i | \(-0.122172\pi\) |
0.139329 | + | 0.990246i | \(0.455505\pi\) | |||||||
\(564\) | 52.0219 | − | 3.89364i | 2.19052 | − | 0.163952i | ||||
\(565\) | −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 | \(0.489219\pi\) | |||||||
\(570\) | −0.692474 | + | 3.03328i | −0.0290045 | + | 0.127050i | ||||
\(571\) | −13.3062 | + | 23.0470i | −0.556846 | + | 0.964485i | 0.440911 | + | 0.897551i | \(0.354655\pi\) |
−0.997757 | + | 0.0669348i | \(0.978678\pi\) | |||||||
\(572\) | 39.7731 | + | 19.1583i | 1.66300 | + | 0.801047i | ||||
\(573\) | 25.8279 | 1.07897 | ||||||||
\(574\) | −0.743560 | + | 0.439338i | −0.0310356 | + | 0.0183376i | ||||
\(575\) | − | 1.26222i | − | 0.0526382i | ||||||
\(576\) | 38.0579 | − | 35.2928i | 1.58574 | − | 1.47053i | ||||
\(577\) | 25.7918 | + | 14.8909i | 1.07373 | + | 0.619916i | 0.929197 | − | 0.369585i | \(-0.120500\pi\) |
0.144528 | + | 0.989501i | \(0.453833\pi\) | |||||||
\(578\) | 0.713151 | − | 3.12385i | 0.0296632 | − | 0.129935i | ||||
\(579\) | −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 | ||||
\(584\) | 11.8496 | − | 4.64871i | 0.490338 | − | 0.192365i | ||||
\(585\) | 21.8020 | − | 37.7622i | 0.901403 | − | 1.56128i | ||||
\(586\) | 2.12342 | + | 1.97043i | 0.0877179 | + | 0.0813979i | ||||
\(587\) | − | 25.4403i | − | 1.05003i | −0.851092 | − | 0.525017i | \(-0.824059\pi\) | ||
0.851092 | − | 0.525017i | \(-0.175941\pi\) | |||||||
\(588\) | 36.9042 | − | 22.3095i | 1.52190 | − | 0.920030i | ||||
\(589\) | − | 0.0479510i | − | 0.00197579i | ||||||
\(590\) | −1.09569 | + | 1.18077i | −0.0451090 | + | 0.0486114i | ||||
\(591\) | −14.9442 | + | 25.8841i | −0.614721 | + | 1.06473i | ||||
\(592\) | −1.80126 | + | 1.43591i | −0.0740314 | + | 0.0590156i | ||||
\(593\) | −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 | ||||
\(598\) | 11.6960 | + | 2.67011i | 0.478286 | + | 0.109189i | ||||
\(599\) | −5.81502 | − | 3.35730i | −0.237595 | − | 0.137176i | 0.376476 | − | 0.926426i | \(-0.377136\pi\) |
−0.614071 | + | 0.789251i | \(0.710469\pi\) | |||||||
\(600\) | −1.29970 | + | 8.61478i | −0.0530599 | + | 0.351697i | ||||
\(601\) | − | 2.72540i | − | 0.111171i | −0.998454 | − | 0.0555856i | \(-0.982297\pi\) | ||
0.998454 | − | 0.0555856i | \(-0.0177026\pi\) | |||||||
\(602\) | −19.1539 | − | 32.4171i | −0.780653 | − | 1.32122i | ||||
\(603\) | −89.9135 | −3.66156 | ||||||||
\(604\) | 6.20417 | − | 12.8800i | 0.252444 | − | 0.524081i | ||||
\(605\) | −0.106534 | + | 0.184523i | −0.00433124 | + | 0.00750193i | ||||
\(606\) | 48.0620 | + | 10.9722i | 1.95239 | + | 0.445715i | ||||
\(607\) | 16.0138 | + | 27.7367i | 0.649979 | + | 1.12580i | 0.983127 | + | 0.182923i | \(0.0585559\pi\) |
−0.333148 | + | 0.942875i | \(0.608111\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | −49.6694 | + | 3.71757i | −2.00777 | + | 0.150274i | ||||
\(613\) | −26.3757 | − | 15.2280i | −1.06530 | − | 0.615054i | −0.138410 | − | 0.990375i | \(-0.544199\pi\) |
−0.926895 | + | 0.375321i | \(0.877532\pi\) | |||||||
\(614\) | −7.30308 | + | 7.87011i | −0.294728 | + | 0.317612i | ||||
\(615\) | −0.710988 | −0.0286698 | ||||||||
\(616\) | 2.08116 | + | 24.4895i | 0.0838521 | + | 0.986711i | ||||
\(617\) | 25.2200 | 1.01532 | 0.507660 | − | 0.861557i | \(-0.330511\pi\) | ||||
0.507660 | + | 0.861557i | \(0.330511\pi\) | |||||||
\(618\) | −2.05333 | + | 2.21275i | −0.0825969 | + | 0.0890100i | ||||
\(619\) | 1.07430 | + | 0.620250i | 0.0431800 | + | 0.0249300i | 0.521435 | − | 0.853291i | \(-0.325397\pi\) |
−0.478255 | + | 0.878221i | \(0.658730\pi\) | |||||||
\(620\) | −0.0100217 | − | 0.133897i | −0.000402481 | − | 0.00537744i | ||||
\(621\) | 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 | ||||
\(626\) | 18.3948 | + | 4.19939i | 0.735204 | + | 0.167842i | ||||
\(627\) | −3.61283 | + | 6.25761i | −0.144283 | + | 0.249905i | ||||
\(628\) | −41.6854 | − | 20.0794i | −1.66343 | − | 0.801256i | ||||
\(629\) | 2.21057 | 0.0881411 | ||||||||
\(630\) | 24.2744 | − | 0.244472i | 0.967117 | − | 0.00974001i | ||||
\(631\) | − | 8.73486i | − | 0.347729i | −0.984770 | − | 0.173865i | \(-0.944374\pi\) | ||
0.984770 | − | 0.173865i | \(-0.0556255\pi\) | |||||||
\(632\) | 4.70974 | − | 31.2175i | 0.187343 | − | 1.24177i | ||||
\(633\) | −3.13620 | − | 1.81069i | −0.124653 | − | 0.0719683i | ||||
\(634\) | −1.65459 | − | 0.377730i | −0.0657121 | − | 0.0150016i | ||||
\(635\) | −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 | ||||
\(640\) | 11.3137 | + | 0.00367857i | 0.447214 | + | 0.000145408i | ||||
\(641\) | 10.1834 | − | 17.6382i | 0.402220 | − | 0.696665i | −0.591774 | − | 0.806104i | \(-0.701572\pi\) |
0.993994 | + | 0.109439i | \(0.0349054\pi\) | |||||||
\(642\) | 15.1664 | − | 16.3440i | 0.598571 | − | 0.645046i | ||||
\(643\) | − | 20.9423i | − | 0.825884i | −0.910757 | − | 0.412942i | \(-0.864501\pi\) | ||
0.910757 | − | 0.412942i | \(-0.135499\pi\) | |||||||
\(644\) | 2.03256 | + | 6.36226i | 0.0800942 | + | 0.250708i | ||||
\(645\) | − | 30.9970i | − | 1.22051i | ||||||
\(646\) | −2.84209 | − | 2.63732i | −0.111821 | − | 0.103764i | ||||
\(647\) | 9.88308 | − | 17.1180i | 0.388544 | − | 0.672978i | −0.603710 | − | 0.797204i | \(-0.706311\pi\) |
0.992254 | + | 0.124226i | \(0.0396448\pi\) | |||||||
\(648\) | −14.0790 | − | 35.8875i | −0.553077 | − | 1.40980i | ||||
\(649\) | −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 | −0.985322 | − | 0.170708i | \(-0.945395\pi\) |
−0.344824 | + | 0.938667i | \(0.612061\pi\) | |||||||
\(654\) | 11.8806 | − | 52.0410i | 0.464567 | − | 2.03496i | ||||
\(655\) | −0.446341 | − | 0.257695i | −0.0174400 | − | 0.0100690i | ||||
\(656\) | 0.137439 | + | 0.912999i | 0.00536609 | + | 0.0356466i | ||||
\(657\) | − | 29.1978i | − | 1.13911i | ||||||
\(658\) | 15.5651 | − | 27.5977i | 0.606791 | − | 1.07587i | ||||
\(659\) | 43.0875 | 1.67845 | 0.839225 | − | 0.543785i | \(-0.183009\pi\) | ||||
0.839225 | + | 0.543785i | \(0.183009\pi\) | |||||||
\(660\) | −8.78056 | + | 18.2287i | −0.341783 | + | 0.709551i | ||||
\(661\) | −4.37780 | + | 7.58258i | −0.170277 | + | 0.294928i | −0.938517 | − | 0.345234i | \(-0.887800\pi\) |
0.768240 | + | 0.640162i | \(0.221133\pi\) | |||||||
\(662\) | 1.89680 | − | 8.30863i | 0.0737211 | − | 0.322924i | ||||
\(663\) | 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 | ||||
\(668\) | 0.537360 | + | 7.17952i | 0.0207911 | + | 0.277784i | ||||
\(669\) | 21.2858 | + | 12.2894i | 0.822956 | + | 0.475134i | ||||
\(670\) | −14.3664 | − | 13.3313i | −0.555023 | − | 0.515034i | ||||
\(671\) | −0.583931 | −0.0225424 | ||||||||
\(672\) | −7.32127 | − | 45.5159i | −0.282424 | − | 1.75581i | ||||
\(673\) | −13.0780 | −0.504121 | −0.252060 | − | 0.967712i | \(-0.581108\pi\) | ||||
−0.252060 | + | 0.967712i | \(0.581108\pi\) | |||||||
\(674\) | −17.9469 | − | 16.6538i | −0.691288 | − | 0.641482i | ||||
\(675\) | 9.30437 | + | 5.37188i | 0.358125 | + | 0.206764i | ||||
\(676\) | 4.80201 | + | 64.1583i | 0.184693 | + | 2.46763i | ||||
\(677\) | 13.8738 | + | 24.0302i | 0.533215 | + | 0.923555i | 0.999247 | + | 0.0387876i | \(0.0123496\pi\) |
−0.466033 | + | 0.884767i | \(0.654317\pi\) | |||||||
\(678\) | 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 | ||||
\(682\) | 0.0694029 | − | 0.304009i | 0.00265758 | − | 0.0116411i | ||||
\(683\) | 23.1088 | − | 40.0257i | 0.884235 | − | 1.53154i | 0.0376480 | − | 0.999291i | \(-0.488013\pi\) |
0.846587 | − | 0.532250i | \(-0.178653\pi\) | |||||||
\(684\) | 4.02196 | − | 8.34969i | 0.153783 | − | 0.319259i | ||||
\(685\) | 8.44288 | 0.322586 | ||||||||
\(686\) | 1.16500 | − | 26.1657i | 0.0444797 | − | 0.999010i | ||||
\(687\) | 42.9626i | 1.63913i | ||||||||
\(688\) | −39.8041 | + | 5.99194i | −1.51752 | + | 0.228441i | ||||
\(689\) | 14.5784 | + | 8.41682i | 0.555391 | + | 0.320655i | ||||
\(690\) | −1.22376 | + | 5.36049i | −0.0465877 | + | 0.204070i | ||||
\(691\) | −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 | ||||
\(696\) | −9.68835 | − | 24.6956i | −0.367236 | − | 0.936086i | ||||
\(697\) | 0.443007 | − | 0.767311i | 0.0167801 | − | 0.0290640i | ||||
\(698\) | 12.5458 | + | 11.6419i | 0.474867 | + | 0.440654i | ||||
\(699\) | 0.171218i | 0.00647607i | ||||||||
\(700\) | 3.91483 | + | 3.56007i | 0.147967 | + | 0.134558i | ||||
\(701\) | 36.4270i | 1.37583i | 0.725792 | + | 0.687914i | \(0.241474\pi\) | ||||
−0.725792 | + | 0.687914i | \(0.758526\pi\) | |||||||
\(702\) | −69.4595 | + | 74.8526i | −2.62158 | + | 2.82513i | ||||
\(703\) | −0.205661 | + | 0.356216i | −0.00775666 | + | 0.0134349i | ||||
\(704\) | 25.1053 | + | 7.75162i | 0.946191 | + | 0.292150i | ||||
\(705\) | 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 | 0.129391 | − | 0.991594i | \(-0.458698\pi\) |
0.923441 | + | 0.383741i | \(0.125364\pi\) | |||||||
\(710\) | 16.6442 | + | 3.79974i | 0.624645 | + | 0.142602i | ||||
\(711\) | −62.7161 | − | 36.2091i | −2.35204 | − | 1.35795i | ||||
\(712\) | 6.48725 | − | 42.9994i | 0.243120 | − | 1.61147i | ||||
\(713\) | − | 0.0847403i | − | 0.00317355i | ||||||
\(714\) | −21.7330 | + | 38.5337i | −0.813338 | + | 1.44209i | ||||
\(715\) | 22.0734 | 0.825497 | ||||||||
\(716\) | 33.6608 | + | 16.2141i | 1.25796 | + | 0.605948i | ||||
\(717\) | 12.1799 | − | 21.0962i | 0.454868 | − | 0.787854i | ||||
\(718\) | −14.1517 | − | 3.23073i | −0.528137 | − | 0.120570i | ||||
\(719\) | 0.853166 | + | 1.47773i | 0.0318177 | + | 0.0551099i | 0.881496 | − | 0.472192i | \(-0.156537\pi\) |
−0.849678 | + | 0.527302i | \(0.823204\pi\) | |||||||
\(720\) | 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 | ||||
\(724\) | 2.58590 | + | 34.5495i | 0.0961042 | + | 1.28402i | ||||
\(725\) | 2.63697 | + | 1.52246i | 0.0979346 | + | 0.0565426i | ||||
\(726\) | 0.631338 | − | 0.680358i | 0.0234312 | − | 0.0252504i | ||||
\(727\) | −13.8129 | −0.512293 | −0.256146 | − | 0.966638i | \(-0.582453\pi\) | ||||
−0.256146 | + | 0.966638i | \(0.582453\pi\) | |||||||
\(728\) | −41.2699 | + | 28.7447i | −1.52956 | + | 1.06535i | ||||
\(729\) | 10.8521 | 0.401930 | ||||||||
\(730\) | 4.32911 | − | 4.66524i | 0.160228 | − | 0.172668i | ||||
\(731\) | 33.4525 | + | 19.3138i | 1.23729 | + | 0.714347i | ||||
\(732\) | 1.09223 | − | 0.0817495i | 0.0403701 | − | 0.00302155i | ||||
\(733\) | 17.7219 | + | 30.6952i | 0.654574 | + | 1.13375i | 0.982001 | + | 0.188878i | \(0.0604851\pi\) |
−0.327427 | + | 0.944876i | \(0.606182\pi\) | |||||||
\(734\) | 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 | ||||
\(738\) | 2.06475 | + | 0.471366i | 0.0760043 | + | 0.0173512i | ||||
\(739\) | 14.3056 | − | 24.7780i | 0.526240 | − | 0.911474i | −0.473293 | − | 0.880905i | \(-0.656935\pi\) |
0.999533 | − | 0.0305688i | \(-0.00973187\pi\) | |||||||
\(740\) | −0.499835 | + | 1.03767i | −0.0183743 | + | 0.0381456i | ||||
\(741\) | −14.7859 | −0.543175 | ||||||||
\(742\) | 0.0943801 | + | 9.37131i | 0.00346480 | + | 0.344031i | ||||
\(743\) | 21.9551i | 0.805456i | 0.915320 | + | 0.402728i | \(0.131938\pi\) | ||||
−0.915320 | + | 0.402728i | \(0.868062\pi\) | |||||||
\(744\) | −0.0872563 | + | 0.578361i | −0.00319897 | + | 0.0212037i | ||||
\(745\) | 5.64120 | + | 3.25695i | 0.206678 | + | 0.119325i | ||||
\(746\) | −36.7293 | − | 8.38502i | −1.34476 | − | 0.306997i | ||||
\(747\) | 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 | −0.537741 | − | 0.843110i | \(-0.680722\pi\) |
0.461284 | + | 0.887253i | \(0.347389\pi\) | |||||||
\(752\) | −21.1140 | − | 26.4862i | −0.769949 | − | 0.965854i | ||||
\(753\) | −28.3363 | + | 49.0799i | −1.03263 | + | 1.78857i | ||||
\(754\) | −19.6857 | + | 21.2141i | −0.716910 | + | 0.772573i | ||||
\(755\) | − | 7.14820i | − | 0.260150i | ||||||
\(756\) | −55.5493 | − | 12.0942i | −2.02031 | − | 0.439863i | ||||
\(757\) | 12.1295i | 0.440854i | 0.975403 | + | 0.220427i | \(0.0707451\pi\) | ||||
−0.975403 | + | 0.220427i | \(0.929255\pi\) | |||||||
\(758\) | −25.6085 | − | 23.7634i | −0.930143 | − | 0.863127i | ||||
\(759\) | −6.38470 | + | 11.0586i | −0.231750 | + | 0.401403i | ||||
\(760\) | 1.88063 | − | 0.737789i | 0.0682175 | − | 0.0267624i | ||||
\(761\) | −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 | ||||
\(766\) | 5.99604 | − | 26.2648i | 0.216646 | − | 0.948984i | ||||
\(767\) | −6.62954 | − | 3.82757i | −0.239379 | − | 0.138205i | ||||
\(768\) | −48.0443 | − | 10.9846i | −1.73365 | − | 0.396372i | ||||
\(769\) | 32.8673i | 1.18523i | 0.805487 | + | 0.592613i | \(0.201904\pi\) | ||||
−0.805487 | + | 0.592613i | \(0.798096\pi\) | |||||||
\(770\) | 6.25131 | + | 10.5801i | 0.225282 | + | 0.381280i | ||||
\(771\) | 92.1529 | 3.31881 | ||||||||
\(772\) | 15.5838 | + | 7.50657i | 0.560875 | + | 0.270167i | ||||
\(773\) | −13.9148 | + | 24.1011i | −0.500480 | + | 0.866857i | 0.499520 | + | 0.866302i | \(0.333510\pi\) |
−1.00000 | 0.000554379i | \(0.999824\pi\) | ||||||||
\(774\) | −20.5502 | + | 90.0169i | −0.738661 | + | 3.23559i | ||||
\(775\) | −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 | ||||
\(780\) | −41.2879 | + | 3.09024i | −1.47834 | + | 0.110648i | ||||
\(781\) | 34.3368 | + | 19.8243i | 1.22867 | + | 0.709370i | ||||
\(782\) | −5.02262 | − | 4.66075i | −0.179609 | − | 0.166668i | ||||
\(783\) | −32.7138 | −1.16910 | ||||||||
\(784\) | −25.4656 | − | 11.6406i | −0.909486 | − | 0.415734i | ||||
\(785\) | −23.1347 | −0.825713 | ||||||||
\(786\) | 1.64571 | + | 1.52714i | 0.0587005 | + | 0.0544712i | ||||
\(787\) | −6.78734 | − | 3.91867i | −0.241943 | − | 0.139686i | 0.374127 | − | 0.927378i | \(-0.377943\pi\) |
−0.616069 | + | 0.787692i | \(0.711276\pi\) | |||||||
\(788\) | 19.3523 | − | 1.44845i | 0.689397 | − | 0.0515988i | ||||
\(789\) | −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 | ||||
\(794\) | −9.02648 | + | 39.5391i | −0.320338 | + | 1.40319i | ||||
\(795\) | −3.85757 | + | 6.68151i | −0.136814 | + | 0.236969i | ||||
\(796\) | 0.682627 | + | 0.328814i | 0.0241951 | + | 0.0116545i | ||||
\(797\) | −9.03418 | −0.320007 | −0.160004 | − | 0.987116i | \(-0.551151\pi\) | ||||
−0.160004 | + | 0.987116i | \(0.551151\pi\) | |||||||
\(798\) | −4.18747 | − | 7.08711i | −0.148235 | − | 0.250881i | ||||
\(799\) | 32.5048i | 1.14994i | ||||||||
\(800\) | 5.09722 | − | 2.45323i | 0.180214 | − | 0.0867349i | ||||
\(801\) | −86.3859 | − | 49.8749i | −3.05230 | − | 1.76224i | ||||
\(802\) | 2.26088 | − | 9.90345i | 0.0798345 | − | 0.349703i | ||||
\(803\) | 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 | ||||
\(808\) | −11.6902 | − | 29.7984i | −0.411260 | − | 1.04830i | ||||
\(809\) | 4.13014 | − | 7.15361i | 0.145208 | − | 0.251508i | −0.784243 | − | 0.620454i | \(-0.786948\pi\) |
0.929451 | + | 0.368947i | \(0.120282\pi\) | |||||||
\(810\) | −14.1291 | − | 13.1111i | −0.496447 | − | 0.460678i | ||||
\(811\) | − | 4.89216i | − | 0.171787i | −0.996304 | − | 0.0858936i | \(-0.972626\pi\) | ||
0.996304 | − | 0.0858936i | \(-0.0273745\pi\) | |||||||
\(812\) | −15.7433 | − | 3.42765i | −0.552483 | − | 0.120287i | ||||
\(813\) | − | 61.2543i | − | 2.14828i | ||||||
\(814\) | −1.81947 | + | 1.96074i | −0.0637723 | + | 0.0687238i | ||||
\(815\) | 0.415413 | − | 0.719516i | 0.0145513 | − | 0.0252035i | ||||
\(816\) | 29.4808 | + | 36.9818i | 1.03203 | + | 1.29462i | ||||
\(817\) | −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 | −0.964950 | − | 0.262433i | \(-0.915475\pi\) |
−0.255202 | + | 0.966888i | \(0.582142\pi\) | |||||||
\(822\) | −35.8558 | − | 8.18561i | −1.25062 | − | 0.285506i | ||||
\(823\) | 32.0112 | + | 18.4817i | 1.11584 | + | 0.644231i | 0.940336 | − | 0.340247i | \(-0.110511\pi\) |
0.175505 | + | 0.984479i | \(0.443844\pi\) | |||||||
\(824\) | 1.93809 | + | 0.292396i | 0.0675166 | + | 0.0101861i | ||||
\(825\) | 10.1166i | 0.352215i | ||||||||
\(826\) | −0.0429196 | − | 4.26162i | −0.00149336 | − | 0.148281i | ||||
\(827\) | 34.0217 | 1.18305 | 0.591526 | − | 0.806286i | \(-0.298526\pi\) | ||||
0.591526 | + | 0.806286i | \(0.298526\pi\) | |||||||
\(828\) | 7.10771 | − | 14.7558i | 0.247010 | − | 0.512800i | ||||
\(829\) | 5.83499 | − | 10.1065i | 0.202657 | − | 0.351013i | −0.746726 | − | 0.665131i | \(-0.768376\pi\) |
0.949384 | + | 0.314118i | \(0.101709\pi\) | |||||||
\(830\) | 4.47372 | + | 1.02132i | 0.155285 | + | 0.0354504i | ||||
\(831\) | −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 | ||||
\(836\) | 4.67852 | − | 0.350170i | 0.161810 | − | 0.0121109i | ||||
\(837\) | 0.624657 | + | 0.360646i | 0.0215913 | + | 0.0124657i | ||||
\(838\) | 35.4390 | − | 38.1906i | 1.22422 | − | 1.31927i | ||||
\(839\) | 29.7543 | 1.02723 | 0.513616 | − | 0.858020i | \(-0.328306\pi\) | ||||
0.513616 | + | 0.858020i | \(0.328306\pi\) | |||||||
\(840\) | −13.1742 | − | 18.9147i | −0.454553 | − | 0.652619i | ||||
\(841\) | 19.7285 | 0.680294 | ||||||||
\(842\) | 8.05759 | − | 8.68321i | 0.277683 | − | 0.299243i | ||||
\(843\) | 26.4462 | + | 15.2687i | 0.910855 | + | 0.525883i | ||||
\(844\) | 0.175499 | + | 2.34479i | 0.00604091 | + | 0.0807110i | ||||
\(845\) | 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 | ||||
\(850\) | −5.29233 | − | 1.20820i | −0.181526 | − | 0.0414409i | ||||
\(851\) | −0.363450 | + | 0.629514i | −0.0124589 | + | 0.0215795i | ||||
\(852\) | −67.0017 | − | 32.2740i | −2.29544 | − | 1.10569i | ||||
\(853\) | 11.5473 | 0.395370 | 0.197685 | − | 0.980266i | \(-0.436658\pi\) | ||||
0.197685 | + | 0.980266i | \(0.436658\pi\) | |||||||
\(854\) | 0.326800 | − | 0.579433i | 0.0111829 | − | 0.0198278i | ||||
\(855\) | − | 4.63394i | − | 0.158477i | ||||||
\(856\) | −14.3153 | − | 2.15972i | −0.489285 | − | 0.0738176i | ||||
\(857\) | 29.7816 | + | 17.1944i | 1.01732 | + | 0.587350i | 0.913327 | − | 0.407228i | \(-0.133505\pi\) |
0.103994 | + | 0.994578i | \(0.466838\pi\) | |||||||
\(858\) | −93.7428 | − | 21.4008i | −3.20033 | − | 0.730610i | ||||
\(859\) | −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 | −0.854254 | − | 0.519856i | \(-0.825986\pi\) |
0.0230816 | + | 0.999734i | \(0.492652\pi\) | |||||||
\(864\) | −34.2479 | + | 50.2074i | −1.16514 | + | 1.70809i | ||||
\(865\) | −5.28828 | + | 9.15958i | −0.179807 | + | 0.311435i | ||||
\(866\) | 6.24886 | − | 6.73405i | 0.212345 | − | 0.228832i | ||||
\(867\) | 6.97900i | 0.237019i | ||||||||
\(868\) | 0.262826 | + | 0.239009i | 0.00892088 | + | 0.00811248i | ||||
\(869\) | − | 36.6598i | − | 1.24360i | ||||||
\(870\) | −9.72281 | − | 9.02229i | −0.329634 | − | 0.305884i | ||||
\(871\) | 46.5701 | − | 80.6618i | 1.57797 | − | 2.73312i | ||||
\(872\) | −32.2653 | + | 12.6580i | −1.09264 | + | 0.428654i | ||||
\(873\) | 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 | −0.562005 | − | 0.827133i | \(-0.689970\pi\) |
0.435316 | + | 0.900278i | \(0.356637\pi\) | |||||||
\(878\) | 6.94074 | − | 30.4029i | 0.234239 | − | 1.02605i | ||||
\(879\) | −5.46415 | − | 3.15473i | −0.184301 | − | 0.106406i | ||||
\(880\) | 12.9910 | − | 1.95561i | 0.437927 | − | 0.0659237i | ||||
\(881\) | 4.70606i | 0.158551i | 0.996853 | + | 0.0792757i | \(0.0252607\pi\) | ||||
−0.996853 | + | 0.0792757i | \(0.974739\pi\) | |||||||
\(882\) | −46.1906 | + | 44.6273i | −1.55532 | + | 1.50268i | ||||
\(883\) | −18.9412 | −0.637424 | −0.318712 | − | 0.947852i | \(-0.603250\pi\) | ||||
−0.318712 | + | 0.947852i | \(0.603250\pi\) | |||||||
\(884\) | 22.3909 | − | 46.4841i | 0.753087 | − | 1.56343i | ||||
\(885\) | 1.75424 | − | 3.03844i | 0.0589682 | − | 0.102136i | ||||
\(886\) | 1.77497 | − | 7.77497i | 0.0596312 | − | 0.261205i | ||||
\(887\) | −16.6634 | − | 28.8618i | −0.559501 | − | 0.969085i | −0.997538 | − | 0.0701277i | \(-0.977659\pi\) |
0.438037 | − | 0.898957i | \(-0.355674\pi\) | |||||||
\(888\) | 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 | ||||
\(892\) | −1.19113 | − | 15.9144i | −0.0398820 | − | 0.532853i | ||||
\(893\) | −5.23789 | − | 3.02410i | −0.175279 | − | 0.101198i | ||||
\(894\) | −20.7997 | − | 19.3011i | −0.695647 | − | 0.645527i | ||||
\(895\) | 18.6812 | 0.624443 | ||||||||
\(896\) | −21.7422 | + | 20.5737i | −0.726356 | + | 0.687318i | ||||
\(897\) | −26.1301 | −0.872459 | ||||||||
\(898\) | 17.3766 | + | 16.1246i | 0.579865 | + | 0.538086i | ||||
\(899\) | 0.177035 | + | 0.102211i | 0.00590446 | + | 0.00340894i | ||||
\(900\) | −0.968488 | − | 12.9397i | −0.0322829 | − | 0.431323i | ||||
\(901\) | −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 | ||||
\(906\) | −6.93038 | + | 30.3575i | −0.230246 | + | 1.00856i | ||||
\(907\) | −22.7638 | + | 39.4281i | −0.755861 | + | 1.30919i | 0.189085 | + | 0.981961i | \(0.439448\pi\) |
−0.944945 | + | 0.327228i | \(0.893885\pi\) | |||||||
\(908\) | 5.43175 | − | 11.2765i | 0.180259 | − | 0.374223i | ||||
\(909\) | −73.4244 | −2.43533 | ||||||||
\(910\) | −12.3535 | + | 21.9033i | −0.409514 | + | 0.726089i | ||||
\(911\) | 9.10038i | 0.301509i | 0.988571 | + | 0.150755i | \(0.0481703\pi\) | ||||
−0.988571 | + | 0.150755i | \(0.951830\pi\) | |||||||
\(912\) | −8.70208 | + | 1.30997i | −0.288155 | + | 0.0433776i | ||||
\(913\) | 9.22922 | + | 5.32850i | 0.305443 | + | 0.176347i | ||||
\(914\) | 4.77635 | − | 20.9221i | 0.157987 | − | 0.692040i | ||||
\(915\) | 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 | −0.811435 | − | 0.584443i | \(-0.801313\pi\) |
0.100425 | + | 0.994945i | \(0.467980\pi\) | |||||||
\(920\) | 3.32349 | − | 1.30384i | 0.109572 | − | 0.0429864i | ||||
\(921\) | 11.6925 | − | 20.2519i | 0.385280 | − | 0.667324i | ||||
\(922\) | 29.8285 | + | 27.6794i | 0.982350 | + | 0.911572i | ||||
\(923\) | 81.1333i | 2.67054i | ||||||||
\(924\) | −16.2908 | − | 50.9931i | −0.535929 | − | 1.67755i | ||||
\(925\) | 0.575890i | 0.0189351i | ||||||||
\(926\) | 33.1269 | − | 35.6989i | 1.08862 | − | 1.17314i | ||||
\(927\) | 2.24799 | − | 3.89362i | 0.0738335 | − | 0.127883i | ||||
\(928\) | −9.70628 | + | 14.2294i | −0.318624 | + | 0.467103i | ||||
\(929\) | 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 | ||||
\(934\) | 25.3706 | + | 5.79192i | 0.830153 | + | 0.189518i | ||||
\(935\) | −10.9180 | − | 6.30352i | −0.357058 | − | 0.206147i | ||||
\(936\) | 121.951 | + | 18.3985i | 3.98609 | + | 0.601374i | ||||
\(937\) | − | 33.0886i | − | 1.08096i | −0.841358 | − | 0.540478i | \(-0.818243\pi\) | ||
0.841358 | − | 0.540478i | \(-0.181757\pi\) | |||||||
\(938\) | 51.8513 | − | 0.522203i | 1.69300 | − | 0.0170505i | ||||
\(939\) | −41.0959 | −1.34111 | ||||||||
\(940\) | −15.2582 | − | 7.34971i | −0.497668 | − | 0.239721i | ||||
\(941\) | −12.0677 | + | 20.9019i | −0.393396 | + | 0.681382i | −0.992895 | − | 0.118994i | \(-0.962033\pi\) |
0.599499 | + | 0.800375i | \(0.295367\pi\) | |||||||
\(942\) | 98.2501 | + | 22.4298i | 3.20116 | + | 0.730801i | ||||
\(943\) | 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 | \(-0.374935\pi\) | |||||||
\(948\) | 5.13232 | + | 68.5716i | 0.166690 | + | 2.22710i | ||||
\(949\) | 26.1935 | + | 15.1228i | 0.850276 | + | 0.490907i | ||||
\(950\) | 0.687067 | − | 0.740413i | 0.0222914 | − | 0.0240222i | ||||
\(951\) | 3.69652 | 0.119868 | ||||||||
\(952\) | 28.6217 | − | 2.43232i | 0.927636 | − | 0.0788318i | ||||
\(953\) | −13.4036 | −0.434185 | −0.217092 | − | 0.976151i | \(-0.569657\pi\) | ||||
−0.217092 | + | 0.976151i | \(0.569657\pi\) | |||||||
\(954\) | 15.6323 | − | 16.8460i | 0.506113 | − | 0.545409i | ||||
\(955\) | −7.26161 | − | 4.19249i | −0.234980 | − | 0.135666i | ||||
\(956\) | −15.7727 | + | 1.18052i | −0.510125 | + | 0.0381809i | ||||
\(957\) | −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 | ||||
\(962\) | −5.33632 | − | 1.21824i | −0.172050 | − | 0.0392777i | ||||
\(963\) | −16.6042 | + | 28.7594i | −0.535064 | + | 0.926757i | ||||
\(964\) | 11.6476 | − | 24.1807i | 0.375143 | − | 0.778807i | ||||
\(965\) | 8.64877 | 0.278414 | ||||||||
\(966\) | −7.40021 | − | 12.5245i | −0.238098 | − | 0.402970i | ||||
\(967\) | 16.1690i | 0.519959i | 0.965614 | + | 0.259980i | \(0.0837158\pi\) | ||||
−0.965614 | + | 0.259980i | \(0.916284\pi\) | |||||||
\(968\) | −0.595906 | − | 0.0899033i | −0.0191532 | − | 0.00288960i | ||||
\(969\) | 7.31348 | + | 4.22244i | 0.234943 | + | 0.135644i | ||||
\(970\) | 7.94920 | + | 1.81474i | 0.255233 | + | 0.0582679i | ||||
\(971\) | 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 | ||||
\(976\) | −0.443303 | − | 0.556096i | −0.0141898 | − | 0.0178002i | ||||
\(977\) | 5.75357 | − | 9.96548i | 0.184073 | − | 0.318824i | −0.759191 | − | 0.650868i | \(-0.774405\pi\) |
0.943264 | + | 0.332044i | \(0.107738\pi\) | |||||||
\(978\) | −2.46179 | + | 2.65294i | −0.0787195 | + | 0.0848316i | ||||
\(979\) | − | 50.4956i | − | 1.61385i | ||||||
\(980\) | −13.9972 | + | 0.281964i | −0.447123 | + | 0.00900702i | ||||
\(981\) | 79.5030i | 2.53834i | ||||||||
\(982\) | −14.8184 | − | 13.7507i | −0.472873 | − | 0.438803i | ||||
\(983\) | 6.41950 | − | 11.1189i | 0.204750 | − | 0.354638i | −0.745303 | − | 0.666726i | \(-0.767695\pi\) |
0.950053 | + | 0.312088i | \(0.101028\pi\) | |||||||
\(984\) | −0.734432 | − | 1.87207i | −0.0234128 | − | 0.0596794i | ||||
\(985\) | 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 | ||||
\(990\) | 6.70704 | − | 29.3792i | 0.213164 | − | 0.933731i | ||||
\(991\) | 21.2549 | + | 12.2715i | 0.675183 | + | 0.389817i | 0.798038 | − | 0.602607i | \(-0.205871\pi\) |
−0.122854 | + | 0.992425i | \(0.539205\pi\) | |||||||
\(992\) | 0.342206 | − | 0.164700i | 0.0108651 | − | 0.00522923i | ||||
\(993\) | 18.5623i | 0.589058i | ||||||||
\(994\) | −38.8884 | + | 22.9775i | −1.23346 | + | 0.728801i | ||||
\(995\) | 0.378846 | 0.0120102 | ||||||||
\(996\) | −18.0091 | − | 8.67479i | −0.570640 | − | 0.274871i | ||||
\(997\) | −20.2325 | + | 35.0437i | −0.640769 | + | 1.10984i | 0.344493 | + | 0.938789i | \(0.388051\pi\) |
−0.985262 | + | 0.171055i | \(0.945282\pi\) | |||||||
\(998\) | −0.156588 | + | 0.685909i | −0.00495670 | + | 0.0217121i | ||||
\(999\) | −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.e.171.10 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.f.591.12 | 24 | |||
7.5 | odd | 6 | 280.2.bj.f.131.6 | yes | 24 | ||
8.3 | odd | 2 | 280.2.bj.f.171.6 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.e.591.12 | 24 | |||
28.19 | even | 6 | 1120.2.bz.e.271.12 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.f.271.12 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.e.131.10 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.10 | ✓ | 24 | 56.19 | even | 6 | inner | |
280.2.bj.e.171.10 | yes | 24 | 1.1 | even | 1 | trivial | |
280.2.bj.f.131.6 | yes | 24 | 7.5 | odd | 6 | ||
280.2.bj.f.171.6 | yes | 24 | 8.3 | odd | 2 | ||
1120.2.bz.e.271.12 | 24 | 28.19 | even | 6 | |||
1120.2.bz.e.591.12 | 24 | 8.5 | even | 2 | |||
1120.2.bz.f.271.12 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.f.591.12 | 24 | 4.3 | odd | 2 |