Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(4,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bo (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Character | \(\chi\) | \(=\) | 315.4 |
Dual form | 315.2.bo.b.79.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.26777 | − | 1.30930i | −1.60355 | − | 0.925811i | −0.990769 | − | 0.135560i | \(-0.956717\pi\) |
−0.612783 | − | 0.790251i | \(-0.709950\pi\) | |||||||
\(3\) | 1.21970 | − | 1.22977i | 0.704196 | − | 0.710005i | ||||
\(4\) | 2.42851 | + | 4.20630i | 1.21425 | + | 2.10315i | ||||
\(5\) | 2.23375 | − | 0.101685i | 0.998965 | − | 0.0454749i | ||||
\(6\) | −4.37613 | + | 1.19187i | −1.78655 | + | 0.486578i | ||||
\(7\) | −0.957411 | + | 2.46645i | −0.361867 | + | 0.932230i | ||||
\(8\) | − | 7.48135i | − | 2.64506i | ||||||
\(9\) | −0.0246457 | − | 2.99990i | −0.00821524 | − | 0.999966i | ||||
\(10\) | −5.19877 | − | 2.69405i | −1.64399 | − | 0.851932i | ||||
\(11\) | −0.314780 | −0.0949098 | −0.0474549 | − | 0.998873i | \(-0.515111\pi\) | ||||
−0.0474549 | + | 0.998873i | \(0.515111\pi\) | |||||||
\(12\) | 8.13482 | + | 2.14394i | 2.34832 | + | 0.618903i | ||||
\(13\) | 3.79969 | + | 2.19375i | 1.05384 | + | 0.608438i | 0.923723 | − | 0.383061i | \(-0.125130\pi\) |
0.130121 | + | 0.991498i | \(0.458463\pi\) | |||||||
\(14\) | 5.40049 | − | 4.33979i | 1.44334 | − | 1.15986i | ||||
\(15\) | 2.59947 | − | 2.87102i | 0.671180 | − | 0.741294i | ||||
\(16\) | −4.93828 | + | 8.55335i | −1.23457 | + | 2.13834i | ||||
\(17\) | 5.91468 | + | 3.41484i | 1.43452 | + | 0.828221i | 0.997461 | − | 0.0712115i | \(-0.0226865\pi\) |
0.437060 | + | 0.899433i | \(0.356020\pi\) | |||||||
\(18\) | −3.87186 | + | 6.83534i | −0.912607 | + | 1.61110i | ||||
\(19\) | −0.895825 | − | 1.55161i | −0.205516 | − | 0.355965i | 0.744781 | − | 0.667309i | \(-0.232554\pi\) |
−0.950297 | + | 0.311345i | \(0.899221\pi\) | |||||||
\(20\) | 5.85241 | + | 9.14889i | 1.30864 | + | 2.04576i | ||||
\(21\) | 1.86539 | + | 4.18573i | 0.407062 | + | 0.913400i | ||||
\(22\) | 0.713848 | + | 0.412140i | 0.152193 | + | 0.0878686i | ||||
\(23\) | − | 4.99453i | − | 1.04143i | −0.853730 | − | 0.520716i | \(-0.825665\pi\) | ||
0.853730 | − | 0.520716i | \(-0.174335\pi\) | |||||||
\(24\) | −9.20030 | − | 9.12503i | −1.87800 | − | 1.86264i | ||||
\(25\) | 4.97932 | − | 0.454279i | 0.995864 | − | 0.0908558i | ||||
\(26\) | −5.74454 | − | 9.94983i | −1.12660 | − | 1.95132i | ||||
\(27\) | −3.71923 | − | 3.62868i | −0.715767 | − | 0.698340i | ||||
\(28\) | −12.6997 | + | 1.96263i | −2.40002 | + | 0.370902i | ||||
\(29\) | −1.08098 | − | 1.87231i | −0.200732 | − | 0.347679i | 0.748032 | − | 0.663662i | \(-0.230999\pi\) |
−0.948765 | + | 0.315984i | \(0.897666\pi\) | |||||||
\(30\) | −9.65400 | + | 3.10733i | −1.76257 | + | 0.567318i | ||||
\(31\) | 0.600903 | + | 1.04080i | 0.107925 | + | 0.186932i | 0.914930 | − | 0.403613i | \(-0.132246\pi\) |
−0.807004 | + | 0.590546i | \(0.798913\pi\) | |||||||
\(32\) | 9.43964 | − | 5.44998i | 1.66871 | − | 0.963430i | ||||
\(33\) | −0.383939 | + | 0.387106i | −0.0668351 | + | 0.0673865i | ||||
\(34\) | −8.94207 | − | 15.4881i | −1.53355 | − | 2.65619i | ||||
\(35\) | −1.88782 | + | 5.60679i | −0.319100 | + | 0.947721i | ||||
\(36\) | 12.5586 | − | 7.38894i | 2.09310 | − | 1.23149i | ||||
\(37\) | −3.66688 | + | 2.11708i | −0.602832 | + | 0.348045i | −0.770155 | − | 0.637857i | \(-0.779821\pi\) |
0.167323 | + | 0.985902i | \(0.446488\pi\) | |||||||
\(38\) | 4.69160i | 0.761077i | ||||||||
\(39\) | 7.33230 | − | 1.99700i | 1.17411 | − | 0.319776i | ||||
\(40\) | −0.760741 | − | 16.7115i | −0.120284 | − | 2.64232i | ||||
\(41\) | −0.938078 | + | 1.62480i | −0.146503 | + | 0.253751i | −0.929933 | − | 0.367730i | \(-0.880135\pi\) |
0.783430 | + | 0.621481i | \(0.213469\pi\) | |||||||
\(42\) | 1.25007 | − | 11.9346i | 0.192891 | − | 1.84155i | ||||
\(43\) | 6.02612 | − | 3.47918i | 0.918975 | − | 0.530571i | 0.0356673 | − | 0.999364i | \(-0.488644\pi\) |
0.883308 | + | 0.468793i | \(0.155311\pi\) | |||||||
\(44\) | −0.764446 | − | 1.32406i | −0.115245 | − | 0.199609i | ||||
\(45\) | −0.360097 | − | 6.69853i | −0.0536801 | − | 0.998558i | ||||
\(46\) | −6.53932 | + | 11.3264i | −0.964170 | + | 1.66999i | ||||
\(47\) | −8.58385 | − | 4.95589i | −1.25208 | − | 0.722891i | −0.280560 | − | 0.959836i | \(-0.590520\pi\) |
−0.971523 | + | 0.236946i | \(0.923854\pi\) | |||||||
\(48\) | 4.49538 | + | 16.5055i | 0.648852 | + | 2.38236i | ||||
\(49\) | −5.16673 | − | 4.72281i | −0.738104 | − | 0.674687i | ||||
\(50\) | −11.8867 | − | 5.48920i | −1.68104 | − | 0.776290i | ||||
\(51\) | 11.4136 | − | 3.10857i | 1.59823 | − | 0.435287i | ||||
\(52\) | 21.3102i | 2.95519i | ||||||||
\(53\) | −7.37483 | − | 4.25786i | −1.01301 | − | 0.584862i | −0.100939 | − | 0.994893i | \(-0.532185\pi\) |
−0.912072 | + | 0.410031i | \(0.865518\pi\) | |||||||
\(54\) | 3.68333 | + | 13.0986i | 0.501238 | + | 1.78249i | ||||
\(55\) | −0.703142 | + | 0.0320084i | −0.0948116 | + | 0.00431602i | ||||
\(56\) | 18.4524 | + | 7.16273i | 2.46580 | + | 0.957160i | ||||
\(57\) | −3.00076 | − | 0.790855i | −0.397461 | − | 0.104751i | ||||
\(58\) | 5.66127i | 0.743362i | ||||||||
\(59\) | 2.68662 | + | 4.65335i | 0.349767 | + | 0.605815i | 0.986208 | − | 0.165511i | \(-0.0529273\pi\) |
−0.636441 | + | 0.771326i | \(0.719594\pi\) | |||||||
\(60\) | 18.3892 | + | 3.96185i | 2.37404 | + | 0.511473i | ||||
\(61\) | −3.01308 | + | 5.21881i | −0.385785 | + | 0.668200i | −0.991878 | − | 0.127194i | \(-0.959403\pi\) |
0.606093 | + | 0.795394i | \(0.292736\pi\) | |||||||
\(62\) | − | 3.14704i | − | 0.399674i | ||||||
\(63\) | 7.42269 | + | 2.81135i | 0.935171 | + | 0.354197i | ||||
\(64\) | −8.78941 | −1.09868 | ||||||||
\(65\) | 8.71065 | + | 4.51393i | 1.08042 | + | 0.559885i | ||||
\(66\) | 1.37752 | − | 0.375176i | 0.169561 | − | 0.0461810i | ||||
\(67\) | 2.73520 | − | 1.57917i | 0.334158 | − | 0.192926i | −0.323528 | − | 0.946219i | \(-0.604869\pi\) |
0.657686 | + | 0.753292i | \(0.271536\pi\) | |||||||
\(68\) | 33.1719i | 4.02268i | ||||||||
\(69\) | −6.14211 | − | 6.09185i | −0.739423 | − | 0.733373i | ||||
\(70\) | 11.6221 | − | 10.2432i | 1.38910 | − | 1.22429i | ||||
\(71\) | −5.30674 | −0.629795 | −0.314897 | − | 0.949126i | \(-0.601970\pi\) | ||||
−0.314897 | + | 0.949126i | \(0.601970\pi\) | |||||||
\(72\) | −22.4433 | + | 0.184383i | −2.64497 | + | 0.0217298i | ||||
\(73\) | 9.64105 | + | 5.56626i | 1.12840 | + | 0.651482i | 0.943532 | − | 0.331282i | \(-0.107481\pi\) |
0.184867 | + | 0.982763i | \(0.440814\pi\) | |||||||
\(74\) | 11.0875 | 1.28890 | ||||||||
\(75\) | 5.51464 | − | 6.67748i | 0.636776 | − | 0.771049i | ||||
\(76\) | 4.35103 | − | 7.53621i | 0.499098 | − | 0.864463i | ||||
\(77\) | 0.301374 | − | 0.776389i | 0.0343448 | − | 0.0884777i | ||||
\(78\) | −19.2426 | − | 5.07141i | −2.17879 | − | 0.574225i | ||||
\(79\) | −0.754973 | + | 1.30765i | −0.0849410 | + | 0.147122i | −0.905366 | − | 0.424632i | \(-0.860404\pi\) |
0.820425 | + | 0.571754i | \(0.193737\pi\) | |||||||
\(80\) | −10.1612 | + | 19.6082i | −1.13605 | + | 2.19227i | ||||
\(81\) | −8.99879 | + | 0.147869i | −0.999865 | + | 0.0164299i | ||||
\(82\) | 4.25468 | − | 2.45644i | 0.469851 | − | 0.271269i | ||||
\(83\) | −13.0279 | + | 7.52166i | −1.43000 | + | 0.825610i | −0.997120 | − | 0.0758428i | \(-0.975835\pi\) |
−0.432878 | + | 0.901452i | \(0.642502\pi\) | |||||||
\(84\) | −13.0763 | + | 18.0115i | −1.42674 | + | 1.96521i | ||||
\(85\) | 13.5592 | + | 7.02649i | 1.47070 | + | 0.762129i | ||||
\(86\) | −18.2211 | −1.96483 | ||||||||
\(87\) | −3.62097 | − | 0.954312i | −0.388209 | − | 0.102313i | ||||
\(88\) | 2.35498i | 0.251042i | ||||||||
\(89\) | 2.27311 | + | 3.93714i | 0.240949 | + | 0.417336i | 0.960985 | − | 0.276601i | \(-0.0892080\pi\) |
−0.720036 | + | 0.693937i | \(0.755875\pi\) | |||||||
\(90\) | −7.95374 | + | 15.6622i | −0.838398 | + | 1.65094i | ||||
\(91\) | −9.04864 | + | 7.27142i | −0.948555 | + | 0.762251i | ||||
\(92\) | 21.0085 | − | 12.1293i | 2.19029 | − | 1.26456i | ||||
\(93\) | 2.01286 | + | 0.530492i | 0.208724 | + | 0.0550094i | ||||
\(94\) | 12.9774 | + | 22.4776i | 1.33852 | + | 2.31839i | ||||
\(95\) | −2.15883 | − | 3.37483i | −0.221491 | − | 0.346251i | ||||
\(96\) | 4.81137 | − | 18.2559i | 0.491058 | − | 1.86324i | ||||
\(97\) | 5.77551 | − | 3.33449i | 0.586414 | − | 0.338566i | −0.177264 | − | 0.984163i | \(-0.556725\pi\) |
0.763678 | + | 0.645597i | \(0.223391\pi\) | |||||||
\(98\) | 5.53338 | + | 17.4750i | 0.558955 | + | 1.76524i | ||||
\(99\) | 0.00775799 | + | 0.944309i | 0.000779707 | + | 0.0949066i | ||||
\(100\) | 14.0031 | + | 19.8413i | 1.40031 | + | 1.98413i | ||||
\(101\) | −5.51932 | −0.549193 | −0.274597 | − | 0.961560i | \(-0.588544\pi\) | ||||
−0.274597 | + | 0.961560i | \(0.588544\pi\) | |||||||
\(102\) | −29.9534 | − | 7.89427i | −2.96583 | − | 0.781649i | ||||
\(103\) | − | 13.2647i | − | 1.30701i | −0.756920 | − | 0.653507i | \(-0.773297\pi\) | ||
0.756920 | − | 0.653507i | \(-0.226703\pi\) | |||||||
\(104\) | 16.4122 | − | 28.4268i | 1.60935 | − | 2.78748i | ||||
\(105\) | 4.59246 | + | 9.16020i | 0.448178 | + | 0.893944i | ||||
\(106\) | 11.1496 | + | 19.3116i | 1.08294 | + | 1.87571i | ||||
\(107\) | −2.87199 | + | 1.65815i | −0.277646 | + | 0.160299i | −0.632357 | − | 0.774677i | \(-0.717912\pi\) |
0.354711 | + | 0.934976i | \(0.384579\pi\) | |||||||
\(108\) | 6.23112 | − | 24.4565i | 0.599590 | − | 2.35333i | ||||
\(109\) | 6.26516 | − | 10.8516i | 0.600094 | − | 1.03939i | −0.392712 | − | 0.919661i | \(-0.628463\pi\) |
0.992806 | − | 0.119732i | \(-0.0382035\pi\) | |||||||
\(110\) | 1.63647 | + | 0.848032i | 0.156031 | + | 0.0808567i | ||||
\(111\) | −1.86900 | + | 7.09161i | −0.177398 | + | 0.673106i | ||||
\(112\) | −16.3684 | − | 20.3691i | −1.54667 | − | 1.92470i | ||||
\(113\) | 3.70610 | + | 2.13972i | 0.348640 | + | 0.201287i | 0.664086 | − | 0.747656i | \(-0.268821\pi\) |
−0.315446 | + | 0.948944i | \(0.602154\pi\) | |||||||
\(114\) | 5.76956 | + | 5.72236i | 0.540369 | + | 0.535948i | ||||
\(115\) | −0.507869 | − | 11.1566i | −0.0473591 | − | 1.04035i | ||||
\(116\) | 5.25032 | − | 9.09383i | 0.487480 | − | 0.844341i | ||||
\(117\) | 6.48739 | − | 11.4528i | 0.599759 | − | 1.05881i | ||||
\(118\) | − | 14.0703i | − | 1.29527i | ||||||
\(119\) | −14.0853 | + | 11.3188i | −1.29120 | + | 1.03760i | ||||
\(120\) | −21.4791 | − | 19.4475i | −1.96076 | − | 1.77531i | ||||
\(121\) | −10.9009 | −0.990992 | ||||||||
\(122\) | 13.6659 | − | 7.89002i | 1.23725 | − | 0.714329i | ||||
\(123\) | 0.853944 | + | 3.13539i | 0.0769976 | + | 0.282709i | ||||
\(124\) | −2.91860 | + | 5.05516i | −0.262098 | + | 0.453967i | ||||
\(125\) | 11.0764 | − | 1.52107i | 0.990702 | − | 0.136049i | ||||
\(126\) | −13.1520 | − | 16.0940i | −1.17168 | − | 1.43376i | ||||
\(127\) | 11.8000i | 1.04708i | 0.852000 | + | 0.523542i | \(0.175390\pi\) | ||||
−0.852000 | + | 0.523542i | \(0.824610\pi\) | |||||||
\(128\) | 1.05304 | + | 0.607974i | 0.0930767 | + | 0.0537378i | ||||
\(129\) | 3.07151 | − | 11.6543i | 0.270431 | − | 1.02610i | ||||
\(130\) | −13.8436 | − | 21.6414i | −1.21417 | − | 1.89807i | ||||
\(131\) | 16.0159 | 1.39931 | 0.699656 | − | 0.714480i | \(-0.253337\pi\) | ||||
0.699656 | + | 0.714480i | \(0.253337\pi\) | |||||||
\(132\) | −2.56068 | − | 0.674871i | −0.222879 | − | 0.0587400i | ||||
\(133\) | 4.68465 | − | 0.723972i | 0.406210 | − | 0.0627764i | ||||
\(134\) | −8.27039 | −0.714453 | ||||||||
\(135\) | −8.67683 | − | 7.72739i | −0.746783 | − | 0.665068i | ||||
\(136\) | 25.5476 | − | 44.2498i | 2.19069 | − | 3.79439i | ||||
\(137\) | 15.1496i | 1.29432i | 0.762356 | + | 0.647158i | \(0.224043\pi\) | ||||
−0.762356 | + | 0.647158i | \(0.775957\pi\) | |||||||
\(138\) | 5.95282 | + | 21.8567i | 0.506738 | + | 1.86057i | ||||
\(139\) | −4.74095 | + | 8.21157i | −0.402122 | + | 0.696496i | −0.993982 | − | 0.109545i | \(-0.965061\pi\) |
0.591860 | + | 0.806041i | \(0.298394\pi\) | |||||||
\(140\) | −28.1684 | + | 5.67540i | −2.38067 | + | 0.479659i | ||||
\(141\) | −16.5643 | + | 4.51141i | −1.39497 | + | 0.379929i | ||||
\(142\) | 12.0345 | + | 6.94809i | 1.00991 | + | 0.583071i | ||||
\(143\) | −1.19607 | − | 0.690550i | −0.100020 | − | 0.0577467i | ||||
\(144\) | 25.7809 | + | 14.6035i | 2.14841 | + | 1.21696i | ||||
\(145\) | −2.60502 | − | 4.07236i | −0.216335 | − | 0.338191i | ||||
\(146\) | −14.5758 | − | 25.2460i | −1.20630 | − | 2.08937i | ||||
\(147\) | −12.1098 | + | 0.593435i | −0.998801 | + | 0.0489457i | ||||
\(148\) | −17.8101 | − | 10.2827i | −1.46398 | − | 0.845230i | ||||
\(149\) | 3.22380 | 0.264104 | 0.132052 | − | 0.991243i | \(-0.457843\pi\) | ||||
0.132052 | + | 0.991243i | \(0.457843\pi\) | |||||||
\(150\) | −21.2487 | + | 7.92267i | −1.73495 | + | 0.646884i | ||||
\(151\) | −18.2702 | −1.48681 | −0.743403 | − | 0.668844i | \(-0.766789\pi\) | ||||
−0.743403 | + | 0.668844i | \(0.766789\pi\) | |||||||
\(152\) | −11.6082 | + | 6.70198i | −0.941547 | + | 0.543602i | ||||
\(153\) | 10.0984 | − | 17.8276i | 0.816408 | − | 1.44128i | ||||
\(154\) | −1.69997 | + | 1.36608i | −0.136987 | + | 0.110082i | ||||
\(155\) | 1.44810 | + | 2.26378i | 0.116315 | + | 0.181831i | ||||
\(156\) | 26.2065 | + | 25.9921i | 2.09820 | + | 2.08103i | ||||
\(157\) | −9.62453 | + | 5.55672i | −0.768121 | + | 0.443475i | −0.832204 | − | 0.554470i | \(-0.812921\pi\) |
0.0640829 | + | 0.997945i | \(0.479588\pi\) | |||||||
\(158\) | 3.42420 | − | 1.97696i | 0.272415 | − | 0.157279i | ||||
\(159\) | −14.2313 | + | 3.87598i | −1.12861 | + | 0.307385i | ||||
\(160\) | 20.5317 | − | 13.1338i | 1.62317 | − | 1.03832i | ||||
\(161\) | 12.3188 | + | 4.78182i | 0.970854 | + | 0.376860i | ||||
\(162\) | 20.6007 | + | 11.4467i | 1.61855 | + | 0.899340i | ||||
\(163\) | 4.13275 | − | 2.38605i | 0.323702 | − | 0.186890i | −0.329339 | − | 0.944212i | \(-0.606826\pi\) |
0.653042 | + | 0.757322i | \(0.273493\pi\) | |||||||
\(164\) | −9.11252 | −0.711568 | ||||||||
\(165\) | −0.818262 | + | 0.903740i | −0.0637016 | + | 0.0703561i | ||||
\(166\) | 39.3923 | 3.05744 | ||||||||
\(167\) | 2.02760 | + | 1.17064i | 0.156900 | + | 0.0905865i | 0.576395 | − | 0.817172i | \(-0.304459\pi\) |
−0.419494 | + | 0.907758i | \(0.637793\pi\) | |||||||
\(168\) | 31.3149 | − | 13.9557i | 2.41600 | − | 1.07670i | ||||
\(169\) | 3.12510 | + | 5.41283i | 0.240392 | + | 0.416372i | ||||
\(170\) | −21.5493 | − | 33.6874i | −1.65276 | − | 2.58371i | ||||
\(171\) | −4.63261 | + | 2.72562i | −0.354264 | + | 0.208434i | ||||
\(172\) | 29.2690 | + | 16.8984i | 2.23174 | + | 1.28849i | ||||
\(173\) | −5.20904 | − | 3.00744i | −0.396036 | − | 0.228652i | 0.288736 | − | 0.957409i | \(-0.406765\pi\) |
−0.684772 | + | 0.728757i | \(0.740098\pi\) | |||||||
\(174\) | 6.96204 | + | 6.90508i | 0.527791 | + | 0.523473i | ||||
\(175\) | −3.64680 | + | 12.7162i | −0.275672 | + | 0.961252i | ||||
\(176\) | 1.55447 | − | 2.69243i | 0.117173 | − | 0.202949i | ||||
\(177\) | 8.99941 | + | 2.37181i | 0.676437 | + | 0.178276i | ||||
\(178\) | − | 11.9047i | − | 0.892293i | ||||||
\(179\) | 6.06882 | − | 10.5115i | 0.453605 | − | 0.785666i | −0.545002 | − | 0.838435i | \(-0.683471\pi\) |
0.998607 | + | 0.0527683i | \(0.0168045\pi\) | |||||||
\(180\) | 27.3015 | − | 17.7821i | 2.03494 | − | 1.32540i | ||||
\(181\) | 3.69759 | 0.274840 | 0.137420 | − | 0.990513i | \(-0.456119\pi\) | ||||
0.137420 | + | 0.990513i | \(0.456119\pi\) | |||||||
\(182\) | 30.0406 | − | 4.64252i | 2.22676 | − | 0.344127i | ||||
\(183\) | 2.74284 | + | 10.0708i | 0.202757 | + | 0.744453i | ||||
\(184\) | −37.3659 | −2.75465 | ||||||||
\(185\) | −7.97564 | + | 5.10190i | −0.586381 | + | 0.375099i | ||||
\(186\) | −3.87012 | − | 3.83846i | −0.283771 | − | 0.281449i | ||||
\(187\) | −1.86182 | − | 1.07492i | −0.136150 | − | 0.0786063i | ||||
\(188\) | − | 48.1416i | − | 3.51109i | ||||||
\(189\) | 12.5108 | − | 5.69915i | 0.910025 | − | 0.414552i | ||||
\(190\) | 0.477065 | + | 10.4799i | 0.0346099 | + | 0.760290i | ||||
\(191\) | −9.37952 | + | 16.2458i | −0.678678 | + | 1.17550i | 0.296701 | + | 0.954970i | \(0.404113\pi\) |
−0.975379 | + | 0.220534i | \(0.929220\pi\) | |||||||
\(192\) | −10.7205 | + | 10.8089i | −0.773684 | + | 0.780066i | ||||
\(193\) | −18.2070 | + | 10.5118i | −1.31057 | + | 0.756659i | −0.982191 | − | 0.187887i | \(-0.939836\pi\) |
−0.328381 | + | 0.944545i | \(0.606503\pi\) | |||||||
\(194\) | −17.4633 | −1.25379 | ||||||||
\(195\) | 16.1755 | − | 5.20639i | 1.15835 | − | 0.372838i | ||||
\(196\) | 7.31811 | − | 33.2022i | 0.522722 | − | 2.37158i | ||||
\(197\) | 4.59975i | 0.327719i | 0.986484 | + | 0.163859i | \(0.0523943\pi\) | ||||
−0.986484 | + | 0.163859i | \(0.947606\pi\) | |||||||
\(198\) | 1.21879 | − | 2.15163i | 0.0866153 | − | 0.152910i | ||||
\(199\) | −2.46619 | + | 4.27156i | −0.174823 | + | 0.302803i | −0.940100 | − | 0.340898i | \(-0.889269\pi\) |
0.765277 | + | 0.643701i | \(0.222602\pi\) | |||||||
\(200\) | −3.39862 | − | 37.2520i | −0.240319 | − | 2.63412i | ||||
\(201\) | 1.39413 | − | 5.28977i | 0.0983342 | − | 0.373112i | ||||
\(202\) | 12.5165 | + | 7.22642i | 0.880660 | + | 0.508449i | ||||
\(203\) | 5.65289 | − | 0.873606i | 0.396755 | − | 0.0613151i | ||||
\(204\) | 40.7936 | + | 40.4599i | 2.85613 | + | 2.83276i | ||||
\(205\) | −1.93022 | + | 3.72479i | −0.134812 | + | 0.260151i | ||||
\(206\) | −17.3675 | + | 30.0813i | −1.21005 | + | 2.09587i | ||||
\(207\) | −14.9831 | + | 0.123094i | −1.04140 | + | 0.00855562i | ||||
\(208\) | −37.5279 | + | 21.6667i | −2.60209 | + | 1.50232i | ||||
\(209\) | 0.281988 | + | 0.488417i | 0.0195055 | + | 0.0337845i | ||||
\(210\) | 1.57879 | − | 26.7861i | 0.108947 | − | 1.84841i | ||||
\(211\) | 7.62342 | − | 13.2041i | 0.524818 | − | 0.909011i | −0.474765 | − | 0.880113i | \(-0.657467\pi\) |
0.999582 | − | 0.0288981i | \(-0.00919982\pi\) | |||||||
\(212\) | − | 41.3609i | − | 2.84068i | ||||||
\(213\) | −6.47266 | + | 6.52605i | −0.443499 | + | 0.447158i | ||||
\(214\) | 8.68401 | 0.593626 | ||||||||
\(215\) | 13.1071 | − | 8.38441i | 0.893897 | − | 0.571812i | ||||
\(216\) | −27.1474 | + | 27.8249i | −1.84715 | + | 1.89324i | ||||
\(217\) | −3.14238 | + | 0.485628i | −0.213319 | + | 0.0329666i | ||||
\(218\) | −28.4158 | + | 16.4059i | −1.92456 | + | 1.11115i | ||||
\(219\) | 18.6044 | − | 5.06704i | 1.25717 | − | 0.342399i | ||||
\(220\) | −1.84222 | − | 2.87989i | −0.124203 | − | 0.194162i | ||||
\(221\) | 14.9826 | + | 25.9507i | 1.00784 | + | 1.74563i | ||||
\(222\) | 13.5235 | − | 13.6350i | 0.907636 | − | 0.915124i | ||||
\(223\) | −9.21120 | + | 5.31809i | −0.616827 | + | 0.356125i | −0.775633 | − | 0.631184i | \(-0.782569\pi\) |
0.158805 | + | 0.987310i | \(0.449236\pi\) | |||||||
\(224\) | 4.40447 | + | 28.5003i | 0.294286 | + | 1.90425i | ||||
\(225\) | −1.48551 | − | 14.9263i | −0.0990340 | − | 0.995084i | ||||
\(226\) | −5.60304 | − | 9.70474i | −0.372708 | − | 0.645550i | ||||
\(227\) | − | 7.44981i | − | 0.494461i | −0.968957 | − | 0.247230i | \(-0.920480\pi\) | ||
0.968957 | − | 0.247230i | \(-0.0795205\pi\) | |||||||
\(228\) | −3.96080 | − | 14.5427i | −0.262310 | − | 0.963113i | ||||
\(229\) | −9.63956 | −0.637000 | −0.318500 | − | 0.947923i | \(-0.603179\pi\) | ||||
−0.318500 | + | 0.947923i | \(0.603179\pi\) | |||||||
\(230\) | −13.4555 | + | 25.9654i | −0.887230 | + | 1.71211i | ||||
\(231\) | −0.587189 | − | 1.31758i | −0.0386342 | − | 0.0866906i | ||||
\(232\) | −14.0074 | + | 8.08717i | −0.919630 | + | 0.530949i | ||||
\(233\) | −6.53325 | + | 3.77197i | −0.428007 | + | 0.247110i | −0.698497 | − | 0.715613i | \(-0.746148\pi\) |
0.270490 | + | 0.962723i | \(0.412814\pi\) | |||||||
\(234\) | −29.7069 | + | 17.4783i | −1.94200 | + | 1.14259i | ||||
\(235\) | −19.6782 | − | 10.1974i | −1.28366 | − | 0.665204i | ||||
\(236\) | −13.0489 | + | 22.6014i | −0.849413 | + | 1.47123i | ||||
\(237\) | 0.687261 | + | 2.52339i | 0.0446424 | + | 0.163912i | ||||
\(238\) | 46.7619 | − | 7.22665i | 3.03112 | − | 0.468434i | ||||
\(239\) | −12.3847 | + | 21.4509i | −0.801098 | + | 1.38754i | 0.117796 | + | 0.993038i | \(0.462417\pi\) |
−0.918894 | + | 0.394505i | \(0.870916\pi\) | |||||||
\(240\) | 11.7199 | + | 36.4121i | 0.756518 | + | 2.35039i | ||||
\(241\) | −0.246396 | −0.0158717 | −0.00793587 | − | 0.999969i | \(-0.502526\pi\) | ||||
−0.00793587 | + | 0.999969i | \(0.502526\pi\) | |||||||
\(242\) | 24.7207 | + | 14.2725i | 1.58911 | + | 0.917472i | ||||
\(243\) | −10.7940 | + | 11.2468i | −0.692436 | + | 0.721479i | ||||
\(244\) | −29.2691 | −1.87376 | ||||||||
\(245\) | −12.0214 | − | 10.0242i | −0.768022 | − | 0.640424i | ||||
\(246\) | 2.16860 | − | 8.22839i | 0.138265 | − | 0.524623i | ||||
\(247\) | − | 7.86087i | − | 0.500175i | ||||||
\(248\) | 7.78655 | − | 4.49557i | 0.494447 | − | 0.285469i | ||||
\(249\) | −6.64030 | + | 25.1955i | −0.420812 | + | 1.59670i | ||||
\(250\) | −27.1102 | − | 11.0528i | −1.71460 | − | 0.699042i | ||||
\(251\) | 2.91065 | 0.183718 | 0.0918592 | − | 0.995772i | \(-0.470719\pi\) | ||||
0.0918592 | + | 0.995772i | \(0.470719\pi\) | |||||||
\(252\) | 6.20068 | + | 38.0494i | 0.390606 | + | 2.39689i | ||||
\(253\) | 1.57218i | 0.0988421i | ||||||||
\(254\) | 15.4497 | − | 26.7597i | 0.969403 | − | 1.67905i | ||||
\(255\) | 25.1791 | − | 8.10439i | 1.57678 | − | 0.507516i | ||||
\(256\) | 7.19738 | + | 12.4662i | 0.449836 | + | 0.779139i | ||||
\(257\) | − | 10.8826i | − | 0.678840i | −0.940635 | − | 0.339420i | \(-0.889769\pi\) | ||
0.940635 | − | 0.339420i | \(-0.110231\pi\) | |||||||
\(258\) | −22.2244 | + | 22.4077i | −1.38363 | + | 1.39504i | ||||
\(259\) | −1.71094 | − | 11.0711i | −0.106313 | − | 0.687924i | ||||
\(260\) | 2.16693 | + | 47.6017i | 0.134387 | + | 2.95213i | ||||
\(261\) | −5.59009 | + | 3.28897i | −0.346018 | + | 0.203582i | ||||
\(262\) | −36.3202 | − | 20.9695i | −2.24387 | − | 1.29550i | ||||
\(263\) | − | 15.8980i | − | 0.980313i | −0.871634 | − | 0.490156i | \(-0.836940\pi\) | ||
0.871634 | − | 0.490156i | \(-0.163060\pi\) | |||||||
\(264\) | 2.89607 | + | 2.87238i | 0.178241 | + | 0.176783i | ||||
\(265\) | −16.9065 | − | 8.76110i | −1.03856 | − | 0.538190i | ||||
\(266\) | −11.5716 | − | 4.49179i | −0.709499 | − | 0.275409i | ||||
\(267\) | 7.61427 | + | 2.00675i | 0.465986 | + | 0.122811i | ||||
\(268\) | 13.2849 | + | 7.67005i | 0.811505 | + | 0.468523i | ||||
\(269\) | 12.0935 | − | 20.9465i | 0.737353 | − | 1.27713i | −0.216330 | − | 0.976320i | \(-0.569409\pi\) |
0.953683 | − | 0.300813i | \(-0.0972580\pi\) | |||||||
\(270\) | 9.55959 | + | 28.8844i | 0.581778 | + | 1.75785i | ||||
\(271\) | −15.8668 | − | 27.4821i | −0.963841 | − | 1.66942i | −0.712698 | − | 0.701471i | \(-0.752527\pi\) |
−0.251143 | − | 0.967950i | \(-0.580806\pi\) | |||||||
\(272\) | −58.4167 | + | 33.7269i | −3.54203 | + | 2.04499i | ||||
\(273\) | −2.09453 | + | 19.9967i | −0.126767 | + | 1.21025i | ||||
\(274\) | 19.8353 | − | 34.3557i | 1.19829 | − | 2.07550i | ||||
\(275\) | −1.56739 | + | 0.142998i | −0.0945173 | + | 0.00862310i | ||||
\(276\) | 10.7080 | − | 40.6296i | 0.644546 | − | 2.44562i | ||||
\(277\) | 2.11326i | 0.126973i | 0.997983 | + | 0.0634866i | \(0.0202220\pi\) | ||||
−0.997983 | + | 0.0634866i | \(0.979778\pi\) | |||||||
\(278\) | 21.5027 | − | 12.4146i | 1.28965 | − | 0.744579i | ||||
\(279\) | 3.10747 | − | 1.82830i | 0.186039 | − | 0.109457i | ||||
\(280\) | 41.9464 | + | 14.1234i | 2.50678 | + | 0.844037i | ||||
\(281\) | −6.35502 | − | 11.0072i | −0.379109 | − | 0.656636i | 0.611824 | − | 0.790994i | \(-0.290436\pi\) |
−0.990933 | + | 0.134358i | \(0.957103\pi\) | |||||||
\(282\) | 43.4708 | + | 11.4568i | 2.58865 | + | 0.682242i | ||||
\(283\) | 11.6151 | − | 6.70597i | 0.690445 | − | 0.398629i | −0.113334 | − | 0.993557i | \(-0.536153\pi\) |
0.803779 | + | 0.594928i | \(0.202820\pi\) | |||||||
\(284\) | −12.8875 | − | 22.3217i | −0.764730 | − | 1.32455i | ||||
\(285\) | −6.78338 | − | 1.46144i | −0.401813 | − | 0.0865684i | ||||
\(286\) | 1.80827 | + | 3.13201i | 0.106925 | + | 0.185200i | ||||
\(287\) | −3.10936 | − | 3.86932i | −0.183539 | − | 0.228399i | ||||
\(288\) | −16.5820 | − | 28.1837i | −0.977106 | − | 1.66074i | ||||
\(289\) | 14.8223 | + | 25.6730i | 0.871900 | + | 1.51018i | ||||
\(290\) | 0.575667 | + | 12.6459i | 0.0338043 | + | 0.742593i | ||||
\(291\) | 2.94377 | − | 11.1696i | 0.172567 | − | 0.654774i | ||||
\(292\) | 54.0708i | 3.16426i | ||||||||
\(293\) | −4.43660 | − | 2.56147i | −0.259189 | − | 0.149643i | 0.364776 | − | 0.931095i | \(-0.381146\pi\) |
−0.623965 | + | 0.781453i | \(0.714479\pi\) | |||||||
\(294\) | 28.2392 | + | 14.5096i | 1.64694 | + | 0.846215i | ||||
\(295\) | 6.47442 | + | 10.1213i | 0.376955 | + | 0.589283i | ||||
\(296\) | 15.8386 | + | 27.4332i | 0.920599 | + | 1.59452i | ||||
\(297\) | 1.17074 | + | 1.14224i | 0.0679333 | + | 0.0662793i | ||||
\(298\) | −7.31083 | − | 4.22091i | −0.423505 | − | 0.244511i | ||||
\(299\) | 10.9568 | − | 18.9777i | 0.633647 | − | 1.09751i | ||||
\(300\) | 41.4798 | + | 6.97990i | 2.39484 | + | 0.402985i | ||||
\(301\) | 2.81175 | + | 18.1941i | 0.162066 | + | 1.04869i | ||||
\(302\) | 41.4325 | + | 23.9210i | 2.38417 | + | 1.37650i | ||||
\(303\) | −6.73194 | + | 6.78747i | −0.386740 | + | 0.389930i | ||||
\(304\) | 17.6953 | 1.01490 | ||||||||
\(305\) | −6.19981 | + | 11.9639i | −0.355000 | + | 0.685052i | ||||
\(306\) | −46.2424 | + | 27.2070i | −2.64350 | + | 1.55532i | ||||
\(307\) | 6.74809i | 0.385134i | 0.981284 | + | 0.192567i | \(0.0616812\pi\) | ||||
−0.981284 | + | 0.192567i | \(0.938319\pi\) | |||||||
\(308\) | 3.99761 | − | 0.617797i | 0.227785 | − | 0.0352022i | ||||
\(309\) | −16.3125 | − | 16.1791i | −0.927987 | − | 0.920394i | ||||
\(310\) | −0.320007 | − | 7.02971i | −0.0181752 | − | 0.399261i | ||||
\(311\) | −5.45910 | − | 9.45544i | −0.309557 | − | 0.536169i | 0.668708 | − | 0.743525i | \(-0.266847\pi\) |
−0.978266 | + | 0.207356i | \(0.933514\pi\) | |||||||
\(312\) | −14.9403 | − | 54.8555i | −0.845825 | − | 3.10558i | ||||
\(313\) | 16.8868 | + | 9.74960i | 0.954498 | + | 0.551080i | 0.894475 | − | 0.447117i | \(-0.147549\pi\) |
0.0600227 | + | 0.998197i | \(0.480883\pi\) | |||||||
\(314\) | 29.1016 | 1.64230 | ||||||||
\(315\) | 16.8663 | + | 5.52509i | 0.950311 | + | 0.311303i | ||||
\(316\) | −7.33382 | −0.412560 | ||||||||
\(317\) | 21.5858 | + | 12.4626i | 1.21238 | + | 0.699967i | 0.963277 | − | 0.268511i | \(-0.0865314\pi\) |
0.249101 | + | 0.968477i | \(0.419865\pi\) | |||||||
\(318\) | 37.3480 | + | 9.84311i | 2.09437 | + | 0.551974i | ||||
\(319\) | 0.340270 | + | 0.589365i | 0.0190515 | + | 0.0329981i | ||||
\(320\) | −19.6334 | + | 0.893752i | −1.09754 | + | 0.0499622i | ||||
\(321\) | −1.46385 | + | 5.55432i | −0.0817041 | + | 0.310012i | ||||
\(322\) | −21.6752 | − | 26.9729i | −1.20791 | − | 1.50314i | ||||
\(323\) | − | 12.2364i | − | 0.680852i | ||||||
\(324\) | −22.4756 | − | 37.4925i | −1.24864 | − | 2.08291i | ||||
\(325\) | 19.9165 | + | 9.19728i | 1.10477 | + | 0.510173i | ||||
\(326\) | −12.4962 | −0.692098 | ||||||||
\(327\) | −5.70326 | − | 20.9404i | −0.315391 | − | 1.15801i | ||||
\(328\) | 12.1557 | + | 7.01809i | 0.671186 | + | 0.387509i | ||||
\(329\) | 20.4417 | − | 16.4268i | 1.12699 | − | 0.905639i | ||||
\(330\) | 3.03889 | − | 0.978125i | 0.167285 | − | 0.0538440i | ||||
\(331\) | 3.33016 | − | 5.76801i | 0.183042 | − | 0.317039i | −0.759873 | − | 0.650072i | \(-0.774739\pi\) |
0.942915 | + | 0.333033i | \(0.108072\pi\) | |||||||
\(332\) | −63.2767 | − | 36.5328i | −3.47276 | − | 2.00500i | ||||
\(333\) | 6.44139 | + | 10.9481i | 0.352986 | + | 0.599952i | ||||
\(334\) | −3.06541 | − | 5.30945i | −0.167732 | − | 0.290520i | ||||
\(335\) | 5.94919 | − | 3.80561i | 0.325039 | − | 0.207922i | ||||
\(336\) | −45.0138 | − | 4.71492i | −2.45571 | − | 0.257220i | ||||
\(337\) | −20.4661 | − | 11.8161i | −1.11486 | − | 0.643665i | −0.174777 | − | 0.984608i | \(-0.555920\pi\) |
−0.940084 | + | 0.340943i | \(0.889254\pi\) | |||||||
\(338\) | − | 16.3667i | − | 0.890232i | ||||||
\(339\) | 7.15169 | − | 1.94781i | 0.388426 | − | 0.105790i | ||||
\(340\) | 3.37308 | + | 74.0978i | 0.182931 | + | 4.01852i | ||||
\(341\) | −0.189152 | − | 0.327622i | −0.0102432 | − | 0.0177417i | ||||
\(342\) | 14.0743 | − | 0.115628i | 0.761052 | − | 0.00625243i | ||||
\(343\) | 16.5952 | − | 8.22179i | 0.896059 | − | 0.443935i | ||||
\(344\) | −26.0290 | − | 45.0835i | −1.40339 | − | 2.43074i | ||||
\(345\) | −14.3394 | − | 12.9831i | −0.772008 | − | 0.698989i | ||||
\(346\) | 7.87526 | + | 13.6403i | 0.423376 | + | 0.733310i | ||||
\(347\) | −27.2627 | + | 15.7402i | −1.46354 | + | 0.844976i | −0.999173 | − | 0.0406668i | \(-0.987052\pi\) |
−0.464368 | + | 0.885642i | \(0.653718\pi\) | |||||||
\(348\) | −4.77943 | − | 17.5484i | −0.256205 | − | 0.940695i | ||||
\(349\) | 2.83168 | + | 4.90462i | 0.151576 | + | 0.262538i | 0.931807 | − | 0.362954i | \(-0.118232\pi\) |
−0.780231 | + | 0.625492i | \(0.784898\pi\) | |||||||
\(350\) | 24.9193 | − | 24.0625i | 1.33199 | − | 1.28620i | ||||
\(351\) | −6.17151 | − | 21.9469i | −0.329411 | − | 1.17144i | ||||
\(352\) | −2.97141 | + | 1.71555i | −0.158377 | + | 0.0914389i | ||||
\(353\) | − | 28.2756i | − | 1.50496i | −0.658616 | − | 0.752479i | \(-0.728858\pi\) | ||
0.658616 | − | 0.752479i | \(-0.271142\pi\) | |||||||
\(354\) | −17.3032 | − | 17.1616i | −0.919652 | − | 0.912128i | ||||
\(355\) | −11.8540 | + | 0.539616i | −0.629143 | + | 0.0286399i | ||||
\(356\) | −11.0405 | + | 19.1227i | −0.585146 | + | 1.01350i | ||||
\(357\) | −3.26039 | + | 31.1273i | −0.172558 | + | 1.64743i | ||||
\(358\) | −27.5253 | + | 15.8917i | −1.45476 | + | 0.839905i | ||||
\(359\) | 9.01174 | + | 15.6088i | 0.475622 | + | 0.823801i | 0.999610 | − | 0.0279246i | \(-0.00888983\pi\) |
−0.523988 | + | 0.851725i | \(0.675556\pi\) | |||||||
\(360\) | −50.1141 | + | 2.69401i | −2.64124 | + | 0.141987i | ||||
\(361\) | 7.89500 | − | 13.6745i | 0.415526 | − | 0.719712i | ||||
\(362\) | −8.38527 | − | 4.84124i | −0.440720 | − | 0.254450i | ||||
\(363\) | −13.2959 | + | 13.4056i | −0.697853 | + | 0.703610i | ||||
\(364\) | −52.5604 | − | 20.4026i | −2.75492 | − | 1.06939i | ||||
\(365\) | 22.1017 | + | 11.4533i | 1.15686 | + | 0.599494i | ||||
\(366\) | 6.96549 | − | 26.4294i | 0.364092 | − | 1.38148i | ||||
\(367\) | 5.37797i | 0.280728i | 0.990100 | + | 0.140364i | \(0.0448272\pi\) | ||||
−0.990100 | + | 0.140364i | \(0.955173\pi\) | |||||||
\(368\) | 42.7200 | + | 24.6644i | 2.22693 | + | 1.28572i | ||||
\(369\) | 4.89735 | + | 2.77410i | 0.254946 | + | 0.144414i | ||||
\(370\) | 24.7668 | − | 1.12743i | 1.28756 | − | 0.0586125i | ||||
\(371\) | 17.5625 | − | 14.1131i | 0.911801 | − | 0.732716i | ||||
\(372\) | 2.65683 | + | 9.75498i | 0.137750 | + | 0.505772i | ||||
\(373\) | − | 22.3803i | − | 1.15881i | −0.815041 | − | 0.579403i | \(-0.803286\pi\) | ||
0.815041 | − | 0.579403i | \(-0.196714\pi\) | |||||||
\(374\) | 2.81479 | + | 4.87535i | 0.145549 | + | 0.252099i | ||||
\(375\) | 11.6394 | − | 15.4766i | 0.601053 | − | 0.799209i | ||||
\(376\) | −37.0767 | + | 64.2188i | −1.91209 | + | 3.31183i | ||||
\(377\) | − | 9.48559i | − | 0.488533i | ||||||
\(378\) | −35.8334 | − | 3.45596i | −1.84307 | − | 0.177755i | ||||
\(379\) | −5.57377 | −0.286306 | −0.143153 | − | 0.989701i | \(-0.545724\pi\) | ||||
−0.143153 | + | 0.989701i | \(0.545724\pi\) | |||||||
\(380\) | 8.95282 | − | 17.2765i | 0.459270 | − | 0.886265i | ||||
\(381\) | 14.5113 | + | 14.3926i | 0.743436 | + | 0.737353i | ||||
\(382\) | 42.5411 | − | 24.5611i | 2.17659 | − | 1.25666i | ||||
\(383\) | − | 2.13584i | − | 0.109136i | −0.998510 | − | 0.0545682i | \(-0.982622\pi\) | ||
0.998510 | − | 0.0545682i | \(-0.0173782\pi\) | |||||||
\(384\) | 2.03207 | − | 0.553446i | 0.103698 | − | 0.0282429i | ||||
\(385\) | 0.594249 | − | 1.76491i | 0.0302857 | − | 0.0899480i | ||||
\(386\) | 55.0524 | 2.80209 | ||||||||
\(387\) | −10.5857 | − | 17.9920i | −0.538102 | − | 0.914586i | ||||
\(388\) | 28.0517 | + | 16.1957i | 1.42411 | + | 0.822211i | ||||
\(389\) | −20.6792 | −1.04847 | −0.524237 | − | 0.851572i | \(-0.675650\pi\) | ||||
−0.524237 | + | 0.851572i | \(0.675650\pi\) | |||||||
\(390\) | −43.4989 | − | 9.37161i | −2.20265 | − | 0.474550i | ||||
\(391\) | 17.0555 | − | 29.5411i | 0.862536 | − | 1.49396i | ||||
\(392\) | −35.3330 | + | 38.6541i | −1.78459 | + | 1.95233i | ||||
\(393\) | 19.5346 | − | 19.6957i | 0.985390 | − | 0.993519i | ||||
\(394\) | 6.02243 | − | 10.4312i | 0.303406 | − | 0.525514i | ||||
\(395\) | −1.55345 | + | 2.99774i | −0.0781628 | + | 0.150833i | ||||
\(396\) | −3.95320 | + | 2.32589i | −0.198656 | + | 0.116881i | ||||
\(397\) | −16.7451 | + | 9.66778i | −0.840412 | + | 0.485212i | −0.857404 | − | 0.514644i | \(-0.827924\pi\) |
0.0169924 | + | 0.999856i | \(0.494591\pi\) | |||||||
\(398\) | 11.1855 | − | 6.45793i | 0.560677 | − | 0.323707i | ||||
\(399\) | 4.82357 | − | 6.64405i | 0.241480 | − | 0.332618i | ||||
\(400\) | −20.7037 | + | 44.8332i | −1.03518 | + | 2.24166i | ||||
\(401\) | −2.11017 | −0.105377 | −0.0526885 | − | 0.998611i | \(-0.516779\pi\) | ||||
−0.0526885 | + | 0.998611i | \(0.516779\pi\) | |||||||
\(402\) | −10.0874 | + | 10.1706i | −0.503115 | + | 0.507266i | ||||
\(403\) | 5.27293i | 0.262664i | ||||||||
\(404\) | −13.4037 | − | 23.2159i | −0.666860 | − | 1.15503i | ||||
\(405\) | −20.0860 | + | 1.24535i | −0.998083 | + | 0.0618817i | ||||
\(406\) | −13.9632 | − | 5.42017i | −0.692984 | − | 0.268998i | ||||
\(407\) | 1.15426 | − | 0.666414i | 0.0572147 | − | 0.0330329i | ||||
\(408\) | −23.2563 | − | 85.3892i | −1.15136 | − | 4.22740i | ||||
\(409\) | 8.72420 | + | 15.1108i | 0.431384 | + | 0.747179i | 0.996993 | − | 0.0774949i | \(-0.0246921\pi\) |
−0.565609 | + | 0.824674i | \(0.691359\pi\) | |||||||
\(410\) | 9.25414 | − | 5.91973i | 0.457029 | − | 0.292355i | ||||
\(411\) | 18.6304 | + | 18.4780i | 0.918971 | + | 0.911453i | ||||
\(412\) | 55.7955 | − | 32.2135i | 2.74884 | − | 1.58705i | ||||
\(413\) | −14.0494 | + | 2.17122i | −0.691328 | + | 0.106839i | ||||
\(414\) | 34.1393 | + | 19.3381i | 1.67786 | + | 0.950418i | ||||
\(415\) | −28.3363 | + | 18.1263i | −1.39097 | + | 0.889785i | ||||
\(416\) | 47.8236 | 2.34475 | ||||||||
\(417\) | 4.31575 | + | 15.8459i | 0.211343 | + | 0.775979i | ||||
\(418\) | − | 1.47682i | − | 0.0722337i | ||||||
\(419\) | −7.25445 | + | 12.5651i | −0.354403 | + | 0.613844i | −0.987016 | − | 0.160624i | \(-0.948649\pi\) |
0.632612 | + | 0.774469i | \(0.281983\pi\) | |||||||
\(420\) | −27.3777 | + | 41.5629i | −1.33590 | + | 2.02806i | ||||
\(421\) | 6.83590 | + | 11.8401i | 0.333161 | + | 0.577053i | 0.983130 | − | 0.182909i | \(-0.0585512\pi\) |
−0.649968 | + | 0.759961i | \(0.725218\pi\) | |||||||
\(422\) | −34.5762 | + | 19.9626i | −1.68315 | + | 0.971764i | ||||
\(423\) | −14.6556 | + | 25.8728i | −0.712580 | + | 1.25798i | ||||
\(424\) | −31.8545 | + | 55.1736i | −1.54699 | + | 2.67947i | ||||
\(425\) | 31.0024 | + | 14.3167i | 1.50384 | + | 0.694461i | ||||
\(426\) | 23.2230 | − | 6.32494i | 1.12516 | − | 0.306444i | ||||
\(427\) | −9.98716 | − | 12.4281i | −0.483312 | − | 0.601440i | ||||
\(428\) | −13.9493 | − | 8.05364i | −0.674265 | − | 0.389287i | ||||
\(429\) | −2.30806 | + | 0.628616i | −0.111434 | + | 0.0303499i | ||||
\(430\) | −40.7015 | + | 1.85281i | −1.96280 | + | 0.0893507i | ||||
\(431\) | 5.94074 | − | 10.2897i | 0.286155 | − | 0.495635i | −0.686733 | − | 0.726909i | \(-0.740956\pi\) |
0.972889 | + | 0.231274i | \(0.0742894\pi\) | |||||||
\(432\) | 49.4040 | − | 13.8925i | 2.37695 | − | 0.668402i | ||||
\(433\) | − | 33.4088i | − | 1.60552i | −0.596299 | − | 0.802762i | \(-0.703363\pi\) | ||
0.596299 | − | 0.802762i | \(-0.296637\pi\) | |||||||
\(434\) | 7.76201 | + | 3.01301i | 0.372588 | + | 0.144629i | ||||
\(435\) | −8.18540 | − | 1.76350i | −0.392460 | − | 0.0845534i | ||||
\(436\) | 60.8600 | 2.91466 | ||||||||
\(437\) | −7.74959 | + | 4.47423i | −0.370713 | + | 0.214031i | ||||
\(438\) | −48.8247 | − | 12.8678i | −2.33293 | − | 0.614848i | ||||
\(439\) | 19.2440 | − | 33.3316i | 0.918466 | − | 1.59083i | 0.116720 | − | 0.993165i | \(-0.462762\pi\) |
0.801746 | − | 0.597665i | \(-0.203905\pi\) | |||||||
\(440\) | 0.239466 | + | 5.26045i | 0.0114161 | + | 0.250782i | ||||
\(441\) | −14.0406 | + | 15.6161i | −0.668601 | + | 0.743622i | ||||
\(442\) | − | 78.4668i | − | 3.73228i | ||||||
\(443\) | 13.1041 | + | 7.56565i | 0.622594 | + | 0.359455i | 0.777878 | − | 0.628415i | \(-0.216296\pi\) |
−0.155284 | + | 0.987870i | \(0.549629\pi\) | |||||||
\(444\) | −34.3683 | + | 9.36044i | −1.63105 | + | 0.444227i | ||||
\(445\) | 5.47791 | + | 8.56346i | 0.259678 | + | 0.405947i | ||||
\(446\) | 27.8518 | 1.31882 | ||||||||
\(447\) | 3.93208 | − | 3.96452i | 0.185981 | − | 0.187515i | ||||
\(448\) | 8.41508 | − | 21.6786i | 0.397575 | − | 1.02422i | ||||
\(449\) | −24.0844 | −1.13661 | −0.568307 | − | 0.822816i | \(-0.692401\pi\) | ||||
−0.568307 | + | 0.822816i | \(0.692401\pi\) | |||||||
\(450\) | −16.1741 | + | 35.7942i | −0.762454 | + | 1.68736i | ||||
\(451\) | 0.295288 | − | 0.511455i | 0.0139046 | − | 0.0240835i | ||||
\(452\) | 20.7853i | 0.977656i | ||||||||
\(453\) | −22.2842 | + | 22.4680i | −1.04700 | + | 1.05564i | ||||
\(454\) | −9.75399 | + | 16.8944i | −0.457778 | + | 0.792894i | ||||
\(455\) | −19.4731 | + | 17.1627i | −0.912911 | + | 0.804598i | ||||
\(456\) | −5.91666 | + | 22.4497i | −0.277073 | + | 1.05131i | ||||
\(457\) | −3.64559 | − | 2.10478i | −0.170533 | − | 0.0984575i | 0.412304 | − | 0.911046i | \(-0.364724\pi\) |
−0.582837 | + | 0.812589i | \(0.698058\pi\) | |||||||
\(458\) | 21.8603 | + | 12.6210i | 1.02146 | + | 0.589742i | ||||
\(459\) | −9.60670 | − | 34.1631i | −0.448403 | − | 1.59460i | ||||
\(460\) | 45.6945 | − | 29.2300i | 2.13052 | − | 1.36286i | ||||
\(461\) | 9.31892 | + | 16.1408i | 0.434025 | + | 0.751754i | 0.997216 | − | 0.0745733i | \(-0.0237595\pi\) |
−0.563190 | + | 0.826327i | \(0.690426\pi\) | |||||||
\(462\) | −0.393499 | + | 3.75677i | −0.0183072 | + | 0.174781i | ||||
\(463\) | −11.3163 | − | 6.53346i | −0.525912 | − | 0.303636i | 0.213438 | − | 0.976957i | \(-0.431534\pi\) |
−0.739350 | + | 0.673321i | \(0.764867\pi\) | |||||||
\(464\) | 21.3527 | 0.991273 | ||||||||
\(465\) | 4.55017 | + | 0.980311i | 0.211009 | + | 0.0454608i | ||||
\(466\) | 19.7545 | 0.915109 | ||||||||
\(467\) | 9.18440 | − | 5.30261i | 0.425003 | − | 0.245376i | −0.272212 | − | 0.962237i | \(-0.587755\pi\) |
0.697216 | + | 0.716861i | \(0.254422\pi\) | |||||||
\(468\) | 63.9284 | − | 0.525205i | 2.95509 | − | 0.0242776i | ||||
\(469\) | 1.27623 | + | 8.25815i | 0.0589306 | + | 0.381326i | ||||
\(470\) | 31.2741 | + | 48.8898i | 1.44256 | + | 2.25512i | ||||
\(471\) | −4.90561 | + | 18.6135i | −0.226038 | + | 0.857663i | ||||
\(472\) | 34.8134 | − | 20.0995i | 1.60242 | − | 0.925155i | ||||
\(473\) | −1.89690 | + | 1.09518i | −0.0872198 | + | 0.0503564i | ||||
\(474\) | 1.74531 | − | 6.62227i | 0.0801647 | − | 0.304171i | ||||
\(475\) | −5.16546 | − | 7.31903i | −0.237008 | − | 0.335820i | ||||
\(476\) | −81.8167 | − | 31.7591i | −3.75006 | − | 1.45568i | ||||
\(477\) | −12.5914 | + | 22.2287i | −0.576520 | + | 1.01778i | ||||
\(478\) | 56.1711 | − | 32.4304i | 2.56921 | − | 1.48333i | ||||
\(479\) | −25.2819 | −1.15516 | −0.577581 | − | 0.816334i | \(-0.696003\pi\) | ||||
−0.577581 | + | 0.816334i | \(0.696003\pi\) | |||||||
\(480\) | 8.89107 | − | 41.2685i | 0.405820 | − | 1.88364i | ||||
\(481\) | −18.5774 | −0.847055 | ||||||||
\(482\) | 0.558767 | + | 0.322604i | 0.0254512 | + | 0.0146942i | ||||
\(483\) | 20.9058 | − | 9.31677i | 0.951245 | − | 0.423928i | ||||
\(484\) | −26.4729 | − | 45.8525i | −1.20332 | − | 2.08420i | ||||
\(485\) | 12.5620 | − | 8.03572i | 0.570411 | − | 0.364883i | ||||
\(486\) | 39.2036 | − | 11.3725i | 1.77831 | − | 0.515865i | ||||
\(487\) | −12.9851 | − | 7.49694i | −0.588410 | − | 0.339719i | 0.176059 | − | 0.984380i | \(-0.443665\pi\) |
−0.764468 | + | 0.644661i | \(0.776998\pi\) | |||||||
\(488\) | 39.0437 | + | 22.5419i | 1.76743 | + | 1.02042i | ||||
\(489\) | 2.10646 | − | 7.99259i | 0.0952573 | − | 0.361437i | ||||
\(490\) | 14.1372 | + | 38.4722i | 0.638651 | + | 1.73800i | ||||
\(491\) | −18.2753 | + | 31.6537i | −0.824751 | + | 1.42851i | 0.0773588 | + | 0.997003i | \(0.475351\pi\) |
−0.902110 | + | 0.431507i | \(0.857982\pi\) | |||||||
\(492\) | −11.1146 | + | 11.2063i | −0.501084 | + | 0.505217i | ||||
\(493\) | − | 14.7655i | − | 0.665003i | ||||||
\(494\) | −10.2922 | + | 17.8266i | −0.463068 | + | 0.802057i | ||||
\(495\) | 0.113352 | + | 2.10857i | 0.00509477 | + | 0.0947729i | ||||
\(496\) | −11.8697 | −0.532966 | ||||||||
\(497\) | 5.08074 | − | 13.0888i | 0.227902 | − | 0.587113i | ||||
\(498\) | 48.0469 | − | 48.4433i | 2.15303 | − | 2.17080i | ||||
\(499\) | −4.42640 | −0.198153 | −0.0990765 | − | 0.995080i | \(-0.531589\pi\) | ||||
−0.0990765 | + | 0.995080i | \(0.531589\pi\) | |||||||
\(500\) | 33.2972 | + | 42.8967i | 1.48909 | + | 1.91840i | ||||
\(501\) | 3.91268 | − | 1.06564i | 0.174806 | − | 0.0476095i | ||||
\(502\) | −6.60067 | − | 3.81090i | −0.294602 | − | 0.170089i | ||||
\(503\) | 29.2058i | 1.30222i | 0.758982 | + | 0.651112i | \(0.225697\pi\) | ||||
−0.758982 | + | 0.651112i | \(0.774303\pi\) | |||||||
\(504\) | 21.0327 | − | 55.5317i | 0.936870 | − | 2.47358i | ||||
\(505\) | −12.3288 | + | 0.561233i | −0.548625 | + | 0.0249745i | ||||
\(506\) | 2.05845 | − | 3.56534i | 0.0915092 | − | 0.158499i | ||||
\(507\) | 10.4682 | + | 2.75891i | 0.464910 | + | 0.122528i | ||||
\(508\) | −49.6345 | + | 28.6565i | −2.20217 | + | 1.27143i | ||||
\(509\) | 16.5856 | 0.735144 | 0.367572 | − | 0.929995i | \(-0.380189\pi\) | ||||
0.367572 | + | 0.929995i | \(0.380189\pi\) | |||||||
\(510\) | −67.7114 | − | 14.5881i | −2.99831 | − | 0.645970i | ||||
\(511\) | −22.9593 | + | 18.4499i | −1.01566 | + | 0.816177i | ||||
\(512\) | − | 40.1259i | − | 1.77333i | ||||||
\(513\) | −2.29853 | + | 9.02147i | −0.101483 | + | 0.398308i | ||||
\(514\) | −14.2486 | + | 24.6792i | −0.628477 | + | 1.08855i | ||||
\(515\) | −1.34883 | − | 29.6302i | −0.0594364 | − | 1.30566i | ||||
\(516\) | 56.4806 | − | 15.3829i | 2.48642 | − | 0.677193i | ||||
\(517\) | 2.70203 | + | 1.56002i | 0.118835 | + | 0.0686094i | ||||
\(518\) | −10.6153 | + | 27.3468i | −0.466410 | + | 1.20155i | ||||
\(519\) | −10.0519 | + | 2.73771i | −0.441231 | + | 0.120172i | ||||
\(520\) | 33.7703 | − | 65.1674i | 1.48093 | − | 2.85778i | ||||
\(521\) | 13.0489 | − | 22.6013i | 0.571681 | − | 0.990180i | −0.424713 | − | 0.905328i | \(-0.639625\pi\) |
0.996394 | − | 0.0848522i | \(-0.0270418\pi\) | |||||||
\(522\) | 16.9832 | − | 0.139526i | 0.743337 | − | 0.00610690i | ||||
\(523\) | 3.47559 | − | 2.00663i | 0.151977 | − | 0.0877439i | −0.422083 | − | 0.906557i | \(-0.638701\pi\) |
0.574060 | + | 0.818813i | \(0.305368\pi\) | |||||||
\(524\) | 38.8946 | + | 67.3675i | 1.69912 | + | 2.94296i | ||||
\(525\) | 11.1899 | + | 19.9947i | 0.488366 | + | 0.872639i | ||||
\(526\) | −20.8152 | + | 36.0529i | −0.907585 | + | 1.57198i | ||||
\(527\) | 8.20796i | 0.357544i | ||||||||
\(528\) | −1.41506 | − | 5.19560i | −0.0615824 | − | 0.226109i | ||||
\(529\) | −1.94537 | −0.0845813 | ||||||||
\(530\) | 26.8691 | + | 42.0037i | 1.16712 | + | 1.82453i | ||||
\(531\) | 13.8934 | − | 8.17426i | 0.602921 | − | 0.354733i | ||||
\(532\) | 14.4219 | + | 17.9468i | 0.625270 | + | 0.778095i | ||||
\(533\) | −7.12882 | + | 4.11582i | −0.308783 | + | 0.178276i | ||||
\(534\) | −14.6400 | − | 14.5202i | −0.633533 | − | 0.628349i | ||||
\(535\) | −6.24672 | + | 3.99593i | −0.270069 | + | 0.172759i | ||||
\(536\) | −11.8143 | − | 20.4630i | −0.510301 | − | 0.883867i | ||||
\(537\) | −5.52452 | − | 20.2841i | −0.238401 | − | 0.875325i | ||||
\(538\) | −54.8504 | + | 31.6679i | −2.36477 | + | 1.36530i | ||||
\(539\) | 1.62638 | + | 1.48665i | 0.0700533 | + | 0.0640344i | ||||
\(540\) | 11.4319 | − | 55.2634i | 0.491953 | − | 2.37816i | ||||
\(541\) | 6.84667 | + | 11.8588i | 0.294361 | + | 0.509848i | 0.974836 | − | 0.222923i | \(-0.0715598\pi\) |
−0.680475 | + | 0.732771i | \(0.738226\pi\) | |||||||
\(542\) | 83.0974i | 3.56934i | ||||||||
\(543\) | 4.50996 | − | 4.54717i | 0.193541 | − | 0.195138i | ||||
\(544\) | 74.4433 | 3.19173 | ||||||||
\(545\) | 12.8914 | − | 24.8768i | 0.552207 | − | 1.06561i | ||||
\(546\) | 30.9315 | − | 42.6054i | 1.32374 | − | 1.82334i | ||||
\(547\) | −22.5081 | + | 12.9951i | −0.962378 | + | 0.555629i | −0.896904 | − | 0.442225i | \(-0.854189\pi\) |
−0.0654737 | + | 0.997854i | \(0.520856\pi\) | |||||||
\(548\) | −63.7237 | + | 36.7909i | −2.72214 | + | 1.57163i | ||||
\(549\) | 15.7302 | + | 8.91031i | 0.671346 | + | 0.380283i | ||||
\(550\) | 3.74170 | + | 1.72789i | 0.159547 | + | 0.0736776i | ||||
\(551\) | −1.93673 | + | 3.35452i | −0.0825076 | + | 0.142907i | ||||
\(552\) | −45.5753 | + | 45.9512i | −1.93981 | + | 1.95581i | ||||
\(553\) | −2.50243 | − | 3.11406i | −0.106414 | − | 0.132423i | ||||
\(554\) | 2.76688 | − | 4.79237i | 0.117553 | − | 0.203608i | ||||
\(555\) | −3.45379 | + | 16.0310i | −0.146605 | + | 0.680477i | ||||
\(556\) | −46.0537 | −1.95311 | ||||||||
\(557\) | 19.8471 | + | 11.4588i | 0.840951 | + | 0.485523i | 0.857587 | − | 0.514339i | \(-0.171963\pi\) |
−0.0166366 | + | 0.999862i | \(0.505296\pi\) | |||||||
\(558\) | −9.44080 | + | 0.0775611i | −0.399661 | + | 0.00328342i | ||||
\(559\) | 30.5299 | 1.29128 | ||||||||
\(560\) | −38.6343 | − | 43.8351i | −1.63260 | − | 1.85237i | ||||
\(561\) | −3.59278 | + | 0.978517i | −0.151687 | + | 0.0413130i | ||||
\(562\) | 33.2824i | 1.40393i | ||||||||
\(563\) | 23.0180 | − | 13.2895i | 0.970095 | − | 0.560085i | 0.0708297 | − | 0.997488i | \(-0.477435\pi\) |
0.899265 | + | 0.437404i | \(0.144102\pi\) | |||||||
\(564\) | −59.2029 | − | 58.7185i | −2.49289 | − | 2.47250i | ||||
\(565\) | 8.49608 | + | 4.40274i | 0.357433 | + | 0.185225i | ||||
\(566\) | −35.1204 | −1.47622 | ||||||||
\(567\) | 8.25083 | − | 22.3366i | 0.346502 | − | 0.938049i | ||||
\(568\) | 39.7016i | 1.66584i | ||||||||
\(569\) | −10.1201 | + | 17.5286i | −0.424259 | + | 0.734837i | −0.996351 | − | 0.0853519i | \(-0.972799\pi\) |
0.572092 | + | 0.820189i | \(0.306132\pi\) | |||||||
\(570\) | 13.4697 | + | 12.1957i | 0.564182 | + | 0.510820i | ||||
\(571\) | −15.8154 | − | 27.3931i | −0.661856 | − | 1.14637i | −0.980128 | − | 0.198368i | \(-0.936436\pi\) |
0.318272 | − | 0.947999i | \(-0.396898\pi\) | |||||||
\(572\) | − | 6.70802i | − | 0.280476i | ||||||
\(573\) | 8.53829 | + | 31.3497i | 0.356692 | + | 1.30965i | ||||
\(574\) | 1.98521 | + | 12.8458i | 0.0828609 | + | 0.536172i | ||||
\(575\) | −2.26891 | − | 24.8694i | −0.0946201 | − | 1.03713i | ||||
\(576\) | 0.216621 | + | 26.3674i | 0.00902589 | + | 1.09864i | ||||
\(577\) | 17.8855 | + | 10.3262i | 0.744582 | + | 0.429885i | 0.823733 | − | 0.566978i | \(-0.191888\pi\) |
−0.0791509 | + | 0.996863i | \(0.525221\pi\) | |||||||
\(578\) | − | 77.6271i | − | 3.22886i | ||||||
\(579\) | −9.28010 | + | 35.2117i | −0.385668 | + | 1.46335i | ||||
\(580\) | 10.8032 | − | 20.8473i | 0.448580 | − | 0.865635i | ||||
\(581\) | −6.07873 | − | 39.3340i | −0.252188 | − | 1.63185i | ||||
\(582\) | −21.3001 | + | 21.4758i | −0.882917 | + | 0.890201i | ||||
\(583\) | 2.32145 | + | 1.34029i | 0.0961446 | + | 0.0555091i | ||||
\(584\) | 41.6431 | − | 72.1280i | 1.72321 | − | 2.98468i | ||||
\(585\) | 13.3267 | − | 26.2423i | 0.550990 | − | 1.08499i | ||||
\(586\) | 6.70745 | + | 11.6176i | 0.277082 | + | 0.479920i | ||||
\(587\) | −3.54451 | + | 2.04642i | −0.146298 | + | 0.0844650i | −0.571362 | − | 0.820698i | \(-0.693585\pi\) |
0.425064 | + | 0.905163i | \(0.360251\pi\) | |||||||
\(588\) | −31.9050 | − | 49.4964i | −1.31574 | − | 2.04120i | ||||
\(589\) | 1.07661 | − | 1.86474i | 0.0443609 | − | 0.0768353i | ||||
\(590\) | −1.43074 | − | 31.4296i | −0.0589025 | − | 1.29393i | ||||
\(591\) | 5.65661 | + | 5.61033i | 0.232682 | + | 0.230778i | ||||
\(592\) | − | 41.8189i | − | 1.71874i | ||||||
\(593\) | −18.8078 | + | 10.8587i | −0.772345 | + | 0.445913i | −0.833710 | − | 0.552202i | \(-0.813788\pi\) |
0.0613658 | + | 0.998115i | \(0.480454\pi\) | |||||||
\(594\) | −1.15944 | − | 4.12317i | −0.0475724 | − | 0.169176i | ||||
\(595\) | −30.3122 | + | 26.7158i | −1.24268 | + | 1.09524i | ||||
\(596\) | 7.82902 | + | 13.5603i | 0.320689 | + | 0.555450i | ||||
\(597\) | 2.24500 | + | 8.24287i | 0.0918817 | + | 0.337358i | ||||
\(598\) | −49.6948 | + | 28.6913i | −2.03217 | + | 1.17327i | ||||
\(599\) | 9.80021 | + | 16.9745i | 0.400426 | + | 0.693558i | 0.993777 | − | 0.111386i | \(-0.0355289\pi\) |
−0.593351 | + | 0.804944i | \(0.702196\pi\) | |||||||
\(600\) | −49.9566 | − | 41.2569i | −2.03947 | − | 1.68431i | ||||
\(601\) | 9.05705 | + | 15.6873i | 0.369445 | + | 0.639897i | 0.989479 | − | 0.144678i | \(-0.0462145\pi\) |
−0.620034 | + | 0.784575i | \(0.712881\pi\) | |||||||
\(602\) | 17.4451 | − | 44.9414i | 0.711009 | − | 1.83168i | ||||
\(603\) | −4.80476 | − | 8.16641i | −0.195665 | − | 0.332562i | ||||
\(604\) | −44.3692 | − | 76.8498i | −1.80536 | − | 3.12697i | ||||
\(605\) | −24.3500 | + | 1.10846i | −0.989967 | + | 0.0450653i | ||||
\(606\) | 24.1533 | − | 6.57830i | 0.981159 | − | 0.267225i | ||||
\(607\) | − | 1.74756i | − | 0.0709313i | −0.999371 | − | 0.0354657i | \(-0.988709\pi\) | ||
0.999371 | − | 0.0354657i | \(-0.0112914\pi\) | |||||||
\(608\) | −16.9125 | − | 9.76445i | −0.685894 | − | 0.396001i | ||||
\(609\) | 5.82052 | − | 8.01727i | 0.235859 | − | 0.324876i | ||||
\(610\) | 29.7240 | − | 19.0140i | 1.20349 | − | 0.769854i | ||||
\(611\) | −21.7440 | − | 37.6617i | −0.879668 | − | 1.52363i | ||||
\(612\) | 99.5123 | − | 0.817545i | 4.02255 | − | 0.0330473i | ||||
\(613\) | 34.8373 | + | 20.1133i | 1.40707 | + | 0.812369i | 0.995104 | − | 0.0988320i | \(-0.0315106\pi\) |
0.411961 | + | 0.911201i | \(0.364844\pi\) | |||||||
\(614\) | 8.83524 | − | 15.3031i | 0.356561 | − | 0.617582i | ||||
\(615\) | 2.22632 | + | 6.91686i | 0.0897741 | + | 0.278915i | ||||
\(616\) | −5.80844 | − | 2.25468i | −0.234029 | − | 0.0908438i | ||||
\(617\) | −1.14184 | − | 0.659241i | −0.0459687 | − | 0.0265400i | 0.476840 | − | 0.878990i | \(-0.341782\pi\) |
−0.522808 | + | 0.852450i | \(0.675116\pi\) | |||||||
\(618\) | 15.8098 | + | 58.0482i | 0.635964 | + | 2.33504i | ||||
\(619\) | −12.3032 | −0.494509 | −0.247255 | − | 0.968951i | \(-0.579528\pi\) | ||||
−0.247255 | + | 0.968951i | \(0.579528\pi\) | |||||||
\(620\) | −6.00539 | + | 11.5888i | −0.241182 | + | 0.465416i | ||||
\(621\) | −18.1236 | + | 18.5758i | −0.727273 | + | 0.745422i | ||||
\(622\) | 28.5903i | 1.14637i | ||||||||
\(623\) | −11.8870 | + | 1.83704i | −0.476244 | + | 0.0735995i | ||||
\(624\) | −19.1279 | + | 72.5775i | −0.765729 | + | 2.90542i | ||||
\(625\) | 24.5873 | − | 4.52400i | 0.983490 | − | 0.180960i | ||||
\(626\) | −25.5302 | − | 44.2196i | −1.02039 | − | 1.76737i | ||||
\(627\) | 0.944580 | + | 0.248945i | 0.0377229 | + | 0.00994192i | ||||
\(628\) | −46.7465 | − | 26.9891i | −1.86539 | − | 1.07698i | ||||
\(629\) | −28.9179 | −1.15303 | ||||||||
\(630\) | −31.0149 | − | 34.6126i | −1.23566 | − | 1.37900i | ||||
\(631\) | 9.39194 | 0.373887 | 0.186944 | − | 0.982371i | \(-0.440142\pi\) | ||||
0.186944 | + | 0.982371i | \(0.440142\pi\) | |||||||
\(632\) | 9.78299 | + | 5.64821i | 0.389147 | + | 0.224674i | ||||
\(633\) | −6.93969 | − | 25.4802i | −0.275828 | − | 1.01275i | ||||
\(634\) | −32.6343 | − | 56.5243i | −1.29607 | − | 2.24487i | ||||
\(635\) | 1.19989 | + | 26.3584i | 0.0476161 | + | 1.04600i | ||||
\(636\) | −50.8643 | − | 50.4481i | −2.01690 | − | 2.00040i | ||||
\(637\) | −9.27129 | − | 29.2797i | −0.367342 | − | 1.16011i | ||||
\(638\) | − | 1.78206i | − | 0.0705523i | ||||||
\(639\) | 0.130789 | + | 15.9197i | 0.00517392 | + | 0.629773i | ||||
\(640\) | 2.41406 | + | 1.25099i | 0.0954241 | + | 0.0494496i | ||||
\(641\) | 28.0494 | 1.10788 | 0.553942 | − | 0.832555i | \(-0.313123\pi\) | ||||
0.553942 | + | 0.832555i | \(0.313123\pi\) | |||||||
\(642\) | 10.5919 | − | 10.6793i | 0.418030 | − | 0.421478i | ||||
\(643\) | −5.03941 | − | 2.90950i | −0.198735 | − | 0.114740i | 0.397330 | − | 0.917676i | \(-0.369937\pi\) |
−0.596065 | + | 0.802936i | \(0.703270\pi\) | |||||||
\(644\) | 9.80242 | + | 63.4290i | 0.386269 | + | 2.49945i | ||||
\(645\) | 5.67592 | − | 26.3452i | 0.223489 | − | 1.03734i | ||||
\(646\) | −16.0211 | + | 27.7493i | −0.630340 | + | 1.09178i | ||||
\(647\) | 10.4692 | + | 6.04442i | 0.411589 | + | 0.237631i | 0.691472 | − | 0.722403i | \(-0.256963\pi\) |
−0.279884 | + | 0.960034i | \(0.590296\pi\) | |||||||
\(648\) | 1.10626 | + | 67.3231i | 0.0434581 | + | 2.64470i | ||||
\(649\) | −0.845693 | − | 1.46478i | −0.0331964 | − | 0.0574978i | ||||
\(650\) | −33.1239 | − | 46.9338i | −1.29923 | − | 1.84089i | ||||
\(651\) | −3.23556 | + | 4.45671i | −0.126812 | + | 0.174672i | ||||
\(652\) | 20.0728 | + | 11.5891i | 0.786113 | + | 0.453863i | ||||
\(653\) | − | 27.4007i | − | 1.07227i | −0.844132 | − | 0.536136i | \(-0.819883\pi\) | ||
0.844132 | − | 0.536136i | \(-0.180117\pi\) | |||||||
\(654\) | −14.4835 | + | 54.9552i | −0.566350 | + | 2.14892i | ||||
\(655\) | 35.7755 | − | 1.62857i | 1.39786 | − | 0.0636336i | ||||
\(656\) | −9.26499 | − | 16.0474i | −0.361737 | − | 0.626547i | ||||
\(657\) | 16.4606 | − | 29.0594i | 0.642190 | − | 1.13371i | ||||
\(658\) | −67.8645 | + | 10.4879i | −2.64564 | + | 0.408860i | ||||
\(659\) | 14.9720 | + | 25.9323i | 0.583227 | + | 1.01018i | 0.995094 | + | 0.0989344i | \(0.0315434\pi\) |
−0.411867 | + | 0.911244i | \(0.635123\pi\) | |||||||
\(660\) | −5.78855 | − | 1.24711i | −0.225319 | − | 0.0485438i | ||||
\(661\) | −9.78865 | − | 16.9544i | −0.380735 | − | 0.659452i | 0.610433 | − | 0.792068i | \(-0.290995\pi\) |
−0.991167 | + | 0.132616i | \(0.957662\pi\) | |||||||
\(662\) | −15.1041 | + | 8.72033i | −0.587036 | + | 0.338925i | ||||
\(663\) | 50.1876 | + | 13.2270i | 1.94913 | + | 0.513695i | ||||
\(664\) | 56.2722 | + | 97.4663i | 2.18378 | + | 3.78243i | ||||
\(665\) | 10.3907 | − | 2.09353i | 0.402935 | − | 0.0811838i | ||||
\(666\) | −0.273260 | − | 33.2614i | −0.0105886 | − | 1.28885i | ||||
\(667\) | −9.35131 | + | 5.39898i | −0.362084 | + | 0.209049i | ||||
\(668\) | 11.3716i | 0.439980i | ||||||||
\(669\) | −4.69493 | + | 17.8141i | −0.181517 | + | 0.688733i | ||||
\(670\) | −18.4740 | + | 0.840975i | −0.713714 | + | 0.0324897i | ||||
\(671\) | 0.948458 | − | 1.64278i | 0.0366148 | − | 0.0634187i | ||||
\(672\) | 40.4208 | + | 29.3454i | 1.55927 | + | 1.13202i | ||||
\(673\) | 43.2830 | − | 24.9895i | 1.66844 | − | 0.963273i | 0.699957 | − | 0.714185i | \(-0.253203\pi\) |
0.968481 | − | 0.249087i | \(-0.0801307\pi\) | |||||||
\(674\) | 30.9416 | + | 53.5924i | 1.19182 | + | 2.06430i | ||||
\(675\) | −20.1677 | − | 16.3788i | −0.776254 | − | 0.630420i | ||||
\(676\) | −15.1787 | + | 26.2902i | −0.583795 | + | 1.01116i | ||||
\(677\) | −23.2857 | − | 13.4440i | −0.894943 | − | 0.516695i | −0.0193866 | − | 0.999812i | \(-0.506171\pi\) |
−0.875556 | + | 0.483117i | \(0.839505\pi\) | |||||||
\(678\) | −18.7686 | − | 4.94649i | −0.720804 | − | 0.189969i | ||||
\(679\) | 2.69481 | + | 17.4375i | 0.103417 | + | 0.669189i | ||||
\(680\) | 52.5676 | − | 101.441i | 2.01588 | − | 3.89009i | ||||
\(681\) | −9.16151 | − | 9.08656i | −0.351070 | − | 0.348198i | ||||
\(682\) | 0.990626i | 0.0379330i | ||||||||
\(683\) | 30.0810 | + | 17.3673i | 1.15102 | + | 0.664540i | 0.949135 | − | 0.314869i | \(-0.101961\pi\) |
0.201883 | + | 0.979410i | \(0.435294\pi\) | |||||||
\(684\) | −22.7151 | − | 12.8669i | −0.868534 | − | 0.491979i | ||||
\(685\) | 1.54049 | + | 33.8405i | 0.0588589 | + | 1.29298i | ||||
\(686\) | −48.3989 | − | 3.08297i | −1.84788 | − | 0.117708i | ||||
\(687\) | −11.7574 | + | 11.8544i | −0.448573 | + | 0.452273i | ||||
\(688\) | 68.7247i | 2.62011i | ||||||||
\(689\) | −18.6814 | − | 32.3571i | −0.711704 | − | 1.23271i | ||||
\(690\) | 15.5196 | + | 48.2172i | 0.590823 | + | 1.83560i | ||||
\(691\) | 11.1032 | − | 19.2313i | 0.422386 | − | 0.731594i | −0.573787 | − | 0.819005i | \(-0.694526\pi\) |
0.996172 | + | 0.0874113i | \(0.0278594\pi\) | |||||||
\(692\) | − | 29.2144i | − | 1.11056i | ||||||
\(693\) | −2.33652 | − | 0.884957i | −0.0887569 | − | 0.0336167i | ||||
\(694\) | 82.4340 | 3.12915 | ||||||||
\(695\) | −9.75513 | + | 18.8247i | −0.370033 | + | 0.714062i | ||||
\(696\) | −7.13954 | + | 27.0898i | −0.270624 | + | 1.02683i | ||||
\(697\) | −11.0969 | + | 6.40678i | −0.420324 | + | 0.242674i | ||||
\(698\) | − | 14.8300i | − | 0.561325i | ||||||
\(699\) | −3.32998 | + | 12.6350i | −0.125952 | + | 0.477901i | ||||
\(700\) | −62.3443 | + | 15.5418i | −2.35639 | + | 0.587423i | ||||
\(701\) | 42.8411 | 1.61809 | 0.809043 | − | 0.587750i | \(-0.199986\pi\) | ||||
0.809043 | + | 0.587750i | \(0.199986\pi\) | |||||||
\(702\) | −14.7395 | + | 57.8508i | −0.556306 | + | 2.18344i | ||||
\(703\) | 6.56977 | + | 3.79306i | 0.247784 | + | 0.143058i | ||||
\(704\) | 2.76673 | 0.104275 | ||||||||
\(705\) | −36.5419 | + | 11.7617i | −1.37625 | + | 0.442972i | ||||
\(706\) | −37.0211 | + | 64.1225i | −1.39331 | + | 2.41328i | ||||
\(707\) | 5.28426 | − | 13.6131i | 0.198735 | − | 0.511974i | ||||
\(708\) | 11.8786 | + | 43.6141i | 0.446425 | + | 1.63912i | ||||
\(709\) | −7.74650 | + | 13.4173i | −0.290926 | + | 0.503898i | −0.974029 | − | 0.226424i | \(-0.927297\pi\) |
0.683103 | + | 0.730322i | \(0.260630\pi\) | |||||||
\(710\) | 27.5885 | + | 14.2966i | 1.03538 | + | 0.536542i | ||||
\(711\) | 3.94143 | + | 2.23261i | 0.147815 | + | 0.0837295i | ||||
\(712\) | 29.4551 | − | 17.0059i | 1.10388 | − | 0.637323i | ||||
\(713\) | 5.19829 | − | 3.00123i | 0.194677 | − | 0.112397i | ||||
\(714\) | 48.1486 | − | 66.3205i | 1.80191 | − | 2.48198i | ||||
\(715\) | −2.74194 | − | 1.42090i | −0.102543 | − | 0.0531385i | ||||
\(716\) | 58.9527 | 2.20316 | ||||||||
\(717\) | 11.2739 | + | 41.3940i | 0.421032 | + | 1.54589i | ||||
\(718\) | − | 47.1961i | − | 1.76134i | ||||||
\(719\) | 18.8811 | + | 32.7031i | 0.704148 | + | 1.21962i | 0.966998 | + | 0.254783i | \(0.0820041\pi\) |
−0.262850 | + | 0.964837i | \(0.584663\pi\) | |||||||
\(720\) | 59.0732 | + | 29.9992i | 2.20153 | + | 1.11800i | ||||
\(721\) | 32.7168 | + | 12.6998i | 1.21844 | + | 0.472966i | ||||
\(722\) | −35.8080 | + | 20.6738i | −1.33264 | + | 0.769398i | ||||
\(723\) | −0.300530 | + | 0.303009i | −0.0111768 | + | 0.0112690i | ||||
\(724\) | 8.97962 | + | 15.5532i | 0.333725 | + | 0.578029i | ||||
\(725\) | −6.23308 | − | 8.83176i | −0.231491 | − | 0.328003i | ||||
\(726\) | 47.7038 | − | 12.9924i | 1.77045 | − | 0.482195i | ||||
\(727\) | 38.7333 | − | 22.3627i | 1.43654 | − | 0.829386i | 0.438932 | − | 0.898520i | \(-0.355357\pi\) |
0.997607 | + | 0.0691342i | \(0.0220237\pi\) | |||||||
\(728\) | 54.4000 | + | 67.6961i | 2.01620 | + | 2.50898i | ||||
\(729\) | 0.665375 | + | 26.9918i | 0.0246435 | + | 0.999696i | ||||
\(730\) | −35.1258 | − | 54.9111i | −1.30006 | − | 2.03235i | ||||
\(731\) | 47.5235 | 1.75772 | ||||||||
\(732\) | −35.6997 | + | 35.9942i | −1.31950 | + | 1.33038i | ||||
\(733\) | 0.858905i | 0.0317244i | 0.999874 | + | 0.0158622i | \(0.00504930\pi\) | ||||
−0.999874 | + | 0.0158622i | \(0.994951\pi\) | |||||||
\(734\) | 7.04135 | − | 12.1960i | 0.259901 | − | 0.450162i | ||||
\(735\) | −26.9900 | + | 2.55698i | −0.995542 | + | 0.0943155i | ||||
\(736\) | −27.2201 | − | 47.1466i | −1.00335 | − | 1.73785i | ||||
\(737\) | −0.860987 | + | 0.497091i | −0.0317149 | + | 0.0183106i | ||||
\(738\) | −7.47394 | − | 12.7031i | −0.275119 | − | 0.467607i | ||||
\(739\) | 2.67345 | − | 4.63056i | 0.0983446 | − | 0.170338i | −0.812655 | − | 0.582745i | \(-0.801979\pi\) |
0.911000 | + | 0.412407i | \(0.135312\pi\) | |||||||
\(740\) | −40.8290 | − | 21.1579i | −1.50090 | − | 0.777781i | ||||
\(741\) | −9.66703 | − | 9.58793i | −0.355127 | − | 0.352222i | ||||
\(742\) | −58.3059 | + | 9.01068i | −2.14048 | + | 0.330792i | ||||
\(743\) | 0.343056 | + | 0.198063i | 0.0125855 | + | 0.00726624i | 0.506280 | − | 0.862369i | \(-0.331020\pi\) |
−0.493694 | + | 0.869636i | \(0.664354\pi\) | |||||||
\(744\) | 3.96879 | − | 15.0589i | 0.145503 | − | 0.552086i | ||||
\(745\) | 7.20118 | − | 0.327812i | 0.263831 | − | 0.0120101i | ||||
\(746\) | −29.3024 | + | 50.7532i | −1.07284 | + | 1.85821i | ||||
\(747\) | 22.8853 | + | 38.8970i | 0.837330 | + | 1.42317i | ||||
\(748\) | − | 10.4419i | − | 0.381792i | ||||||
\(749\) | −1.34005 | − | 8.67114i | −0.0489644 | − | 0.316837i | ||||
\(750\) | −46.6588 | + | 19.8580i | −1.70374 | + | 0.725111i | ||||
\(751\) | 28.9822 | 1.05758 | 0.528788 | − | 0.848754i | \(-0.322647\pi\) | ||||
0.528788 | + | 0.848754i | \(0.322647\pi\) | |||||||
\(752\) | 84.7789 | − | 48.9471i | 3.09157 | − | 1.78492i | ||||
\(753\) | 3.55013 | − | 3.57941i | 0.129374 | − | 0.130441i | ||||
\(754\) | −12.4194 | + | 21.5111i | −0.452289 | + | 0.783388i | ||||
\(755\) | −40.8111 | + | 1.85780i | −1.48527 | + | 0.0676124i | ||||
\(756\) | 54.3549 | + | 38.7836i | 1.97687 | + | 1.41055i | ||||
\(757\) | 22.9163i | 0.832905i | 0.909157 | + | 0.416453i | \(0.136727\pi\) | ||||
−0.909157 | + | 0.416453i | \(0.863273\pi\) | |||||||
\(758\) | 12.6400 | + | 7.29772i | 0.459106 | + | 0.265065i | ||||
\(759\) | 1.93341 | + | 1.91759i | 0.0701784 | + | 0.0696043i | ||||
\(760\) | −25.2483 | + | 16.1510i | −0.915852 | + | 0.585857i | ||||
\(761\) | −9.86452 | −0.357589 | −0.178794 | − | 0.983886i | \(-0.557220\pi\) | ||||
−0.178794 | + | 0.983886i | \(0.557220\pi\) | |||||||
\(762\) | −14.0641 | − | 51.6385i | −0.509488 | − | 1.87067i | ||||
\(763\) | 20.7665 | + | 25.8421i | 0.751799 | + | 0.935548i | ||||
\(764\) | −91.1129 | −3.29635 | ||||||||
\(765\) | 20.7446 | − | 40.8494i | 0.750022 | − | 1.47691i | ||||
\(766\) | −2.79644 | + | 4.84358i | −0.101040 | + | 0.175006i | ||||
\(767\) | 23.5751i | 0.851247i | ||||||||
\(768\) | 24.1092 | + | 6.35401i | 0.869966 | + | 0.229281i | ||||
\(769\) | −24.1144 | + | 41.7673i | −0.869586 | + | 1.50617i | −0.00716652 | + | 0.999974i | \(0.502281\pi\) |
−0.862420 | + | 0.506194i | \(0.831052\pi\) | |||||||
\(770\) | −3.65840 | + | 3.22435i | −0.131840 | + | 0.116197i | ||||
\(771\) | −13.3831 | − | 13.2736i | −0.481980 | − | 0.478036i | ||||
\(772\) | −88.4319 | − | 51.0562i | −3.18273 | − | 1.83755i | ||||
\(773\) | −26.3628 | − | 15.2206i | −0.948204 | − | 0.547446i | −0.0556817 | − | 0.998449i | \(-0.517733\pi\) |
−0.892523 | + | 0.451002i | \(0.851067\pi\) | |||||||
\(774\) | 0.449073 | + | 54.6615i | 0.0161416 | + | 1.96477i | ||||
\(775\) | 3.46490 | + | 4.90947i | 0.124463 | + | 0.176354i | ||||
\(776\) | −24.9465 | − | 43.2086i | −0.895527 | − | 1.55110i | ||||
\(777\) | −15.7017 | − | 11.3994i | −0.563295 | − | 0.408951i | ||||
\(778\) | 46.8955 | + | 27.0751i | 1.68128 | + | 0.970690i | ||||
\(779\) | 3.36141 | 0.120435 | ||||||||
\(780\) | 61.1819 | + | 55.3952i | 2.19066 | + | 1.98347i | ||||
\(781\) | 1.67046 | 0.0597737 | ||||||||
\(782\) | −77.3560 | + | 44.6615i | −2.76624 | + | 1.59709i | ||||
\(783\) | −2.77360 | + | 10.8861i | −0.0991203 | + | 0.389036i | ||||
\(784\) | 65.9106 | − | 20.8703i | 2.35395 | − | 0.745367i | ||||
\(785\) | −20.9338 | + | 13.3910i | −0.747159 | + | 0.477946i | ||||
\(786\) | −70.0874 | + | 19.0888i | −2.49994 | + | 0.680874i | ||||
\(787\) | 4.29455 | − | 2.47946i | 0.153084 | − | 0.0883831i | −0.421501 | − | 0.906828i | \(-0.638497\pi\) |
0.574585 | + | 0.818445i | \(0.305163\pi\) | |||||||
\(788\) | −19.3479 | + | 11.1705i | −0.689241 | + | 0.397933i | ||||
\(789\) | −19.5508 | − | 19.3909i | −0.696027 | − | 0.690333i | ||||
\(790\) | 7.44780 | − | 4.76424i | 0.264981 | − | 0.169504i | ||||
\(791\) | −8.82575 | + | 7.09230i | −0.313808 | + | 0.252173i | ||||
\(792\) | 7.06470 | − | 0.0580402i | 0.251033 | − | 0.00206237i | ||||
\(793\) | −22.8975 | + | 13.2199i | −0.813116 | + | 0.469452i | ||||
\(794\) | 50.6319 | 1.79686 | ||||||||
\(795\) | −31.3950 | + | 10.1051i | −1.11347 | + | 0.358391i | ||||
\(796\) | −23.9566 | −0.849119 | ||||||||
\(797\) | 12.1057 | + | 6.98923i | 0.428806 | + | 0.247571i | 0.698838 | − | 0.715280i | \(-0.253701\pi\) |
−0.270032 | + | 0.962851i | \(0.587034\pi\) | |||||||
\(798\) | −19.6377 | + | 8.75167i | −0.695168 | + | 0.309806i | ||||
\(799\) | −33.8472 | − | 58.6250i | −1.19743 | − | 2.07400i | ||||
\(800\) | 44.5272 | − | 31.4254i | 1.57427 | − | 1.11106i | ||||
\(801\) | 11.7550 | − | 6.91613i | 0.415342 | − | 0.244369i | ||||
\(802\) | 4.78538 | + | 2.76284i | 0.168978 | + | 0.0975592i | ||||
\(803\) | −3.03481 | − | 1.75215i | −0.107096 | − | 0.0618320i | ||||
\(804\) | 25.6360 | − | 6.98214i | 0.904113 | − | 0.246241i | ||||
\(805\) | 28.0033 | + | 9.42879i | 0.986987 | + | 0.332321i | ||||
\(806\) | 6.90383 | − | 11.9578i | 0.243177 | − | 0.421195i | ||||
\(807\) | −11.0089 | − | 40.4207i | −0.387530 | − | 1.42288i | ||||
\(808\) | 41.2920i | 1.45265i | ||||||||
\(809\) | 8.69783 | − | 15.0651i | 0.305799 | − | 0.529660i | −0.671640 | − | 0.740878i | \(-0.734410\pi\) |
0.977439 | + | 0.211218i | \(0.0677430\pi\) | |||||||
\(810\) | 47.1810 | + | 23.4744i | 1.65777 | + | 0.824806i | ||||
\(811\) | −39.6852 | −1.39354 | −0.696768 | − | 0.717297i | \(-0.745379\pi\) | ||||
−0.696768 | + | 0.717297i | \(0.745379\pi\) | |||||||
\(812\) | 17.4027 | + | 21.6562i | 0.610716 | + | 0.759983i | ||||
\(813\) | −53.1494 | − | 14.0076i | −1.86403 | − | 0.491268i | ||||
\(814\) | −3.49013 | −0.122329 | ||||||||
\(815\) | 8.98893 | − | 5.75008i | 0.314869 | − | 0.201417i | ||||
\(816\) | −29.7749 | + | 112.976i | −1.04233 | + | 3.95494i | ||||
\(817\) | −10.7967 | − | 6.23348i | −0.377729 | − | 0.218082i | ||||
\(818\) | − | 45.6902i | − | 1.59752i | ||||||
\(819\) | 22.0365 | + | 26.9658i | 0.770018 | + | 0.942261i | ||||
\(820\) | −20.3551 | + | 0.926607i | −0.710832 | + | 0.0323585i | ||||
\(821\) | 26.3336 | − | 45.6112i | 0.919050 | − | 1.59184i | 0.118188 | − | 0.992991i | \(-0.462291\pi\) |
0.800862 | − | 0.598850i | \(-0.204375\pi\) | |||||||
\(822\) | −18.0563 | − | 66.2965i | −0.629786 | − | 2.31236i | ||||
\(823\) | 43.3780 | − | 25.0443i | 1.51206 | − | 0.872989i | 0.512160 | − | 0.858890i | \(-0.328845\pi\) |
0.999901 | − | 0.0140986i | \(-0.00448788\pi\) | |||||||
\(824\) | −99.2382 | −3.45713 | ||||||||
\(825\) | −1.73590 | + | 2.10194i | −0.0604362 | + | 0.0731801i | ||||
\(826\) | 34.7036 | + | 13.4711i | 1.20749 | + | 0.468718i | ||||
\(827\) | − | 48.4604i | − | 1.68513i | −0.538593 | − | 0.842566i | \(-0.681044\pi\) | ||
0.538593 | − | 0.842566i | \(-0.318956\pi\) | |||||||
\(828\) | −36.9043 | − | 62.7244i | −1.28251 | − | 2.17982i | ||||
\(829\) | −1.64766 | + | 2.85383i | −0.0572256 | + | 0.0991176i | −0.893219 | − | 0.449622i | \(-0.851559\pi\) |
0.835993 | + | 0.548739i | \(0.184892\pi\) | |||||||
\(830\) | 87.9927 | − | 4.00561i | 3.05427 | − | 0.139037i | ||||
\(831\) | 2.59881 | + | 2.57755i | 0.0901517 | + | 0.0894141i | ||||
\(832\) | −33.3971 | − | 19.2818i | −1.15783 | − | 0.668476i | ||||
\(833\) | −14.4319 | − | 45.5775i | −0.500036 | − | 1.57917i | ||||
\(834\) | 10.9599 | − | 41.5855i | 0.379511 | − | 1.43999i | ||||
\(835\) | 4.64820 | + | 2.40874i | 0.160858 | + | 0.0833578i | ||||
\(836\) | −1.36962 | + | 2.37225i | −0.0473693 | + | 0.0820460i | ||||
\(837\) | 1.54181 | − | 6.05144i | 0.0532928 | − | 0.209169i | ||||
\(838\) | 32.9028 | − | 18.9964i | 1.13661 | − | 0.656221i | ||||
\(839\) | −9.72094 | − | 16.8372i | −0.335604 | − | 0.581283i | 0.647997 | − | 0.761643i | \(-0.275607\pi\) |
−0.983601 | + | 0.180360i | \(0.942274\pi\) | |||||||
\(840\) | 68.5307 | − | 34.3578i | 2.36453 | − | 1.18546i | ||||
\(841\) | 12.1630 | − | 21.0669i | 0.419413 | − | 0.726445i | ||||
\(842\) | − | 35.8008i | − | 1.23378i | ||||||
\(843\) | −21.2876 | − | 5.61036i | −0.733182 | − | 0.193231i | ||||
\(844\) | 74.0541 | 2.54905 | ||||||||
\(845\) | 7.53111 | + | 11.7732i | 0.259078 | + | 0.405009i | ||||
\(846\) | 67.1106 | − | 39.4850i | 2.30731 | − | 1.35752i | ||||
\(847\) | 10.4367 | − | 26.8865i | 0.358608 | − | 0.923832i | ||||
\(848\) | 72.8379 | − | 42.0530i | 2.50126 | − | 1.44411i | ||||
\(849\) | 5.92019 | − | 22.4631i | 0.203180 | − | 0.770933i | ||||
\(850\) | −51.5614 | − | 73.0581i | −1.76854 | − | 2.50587i | ||||
\(851\) | 10.5738 | + | 18.3144i | 0.362466 | + | 0.627809i | ||||
\(852\) | −43.1694 | − | 11.3774i | −1.47896 | − | 0.389782i | ||||
\(853\) | −17.7747 | + | 10.2622i | −0.608593 | + | 0.351372i | −0.772415 | − | 0.635118i | \(-0.780951\pi\) |
0.163821 | + | 0.986490i | \(0.447618\pi\) | |||||||
\(854\) | 6.37642 | + | 41.2603i | 0.218197 | + | 1.41190i | ||||
\(855\) | −10.0710 | + | 6.55944i | −0.344419 | + | 0.224328i | ||||
\(856\) | 12.4052 | + | 21.4864i | 0.424000 | + | 0.734389i | ||||
\(857\) | − | 46.5756i | − | 1.59099i | −0.605959 | − | 0.795496i | \(-0.707211\pi\) | ||
0.605959 | − | 0.795496i | \(-0.292789\pi\) | |||||||
\(858\) | 6.05719 | + | 1.59638i | 0.206789 | + | 0.0544995i | ||||
\(859\) | 32.7246 | 1.11655 | 0.558274 | − | 0.829657i | \(-0.311464\pi\) | ||||
0.558274 | + | 0.829657i | \(0.311464\pi\) | |||||||
\(860\) | 67.0980 | + | 34.7708i | 2.28802 | + | 1.18567i | ||||
\(861\) | −8.55085 | − | 0.895648i | −0.291412 | − | 0.0305236i | ||||
\(862\) | −26.9444 | + | 15.5564i | −0.917730 | + | 0.529852i | ||||
\(863\) | −25.3916 | + | 14.6598i | −0.864338 | + | 0.499026i | −0.865463 | − | 0.500973i | \(-0.832975\pi\) |
0.00112425 | + | 0.999999i | \(0.499642\pi\) | |||||||
\(864\) | −54.8845 | − | 13.9837i | −1.86721 | − | 0.475735i | ||||
\(865\) | −11.9415 | − | 6.18821i | −0.406024 | − | 0.210405i | ||||
\(866\) | −43.7420 | + | 75.7633i | −1.48641 | + | 2.57454i | ||||
\(867\) | 49.6506 | + | 13.0855i | 1.68622 | + | 0.444406i | ||||
\(868\) | −9.67398 | − | 12.0384i | −0.328356 | − | 0.408611i | ||||
\(869\) | 0.237650 | − | 0.411623i | 0.00806174 | − | 0.0139633i | ||||
\(870\) | 16.2536 | + | 14.7163i | 0.551050 | + | 0.498930i | ||||
\(871\) | 13.8572 | 0.469534 | ||||||||
\(872\) | −81.1845 | − | 46.8719i | −2.74925 | − | 1.58728i | ||||
\(873\) | −10.1455 | − | 17.2438i | −0.343372 | − | 0.583613i | ||||
\(874\) | 23.4323 | 0.792610 | ||||||||
\(875\) | −6.85302 | + | 28.7756i | −0.231674 | + | 0.972793i | ||||
\(876\) | 66.4944 | + | 65.9504i | 2.24664 | + | 2.22826i | ||||
\(877\) | 52.7579i | 1.78151i | 0.454485 | + | 0.890754i | \(0.349823\pi\) | ||||
−0.454485 | + | 0.890754i | \(0.650177\pi\) | |||||||
\(878\) | −87.2818 | + | 50.3922i | −2.94562 | + | 1.70065i | ||||
\(879\) | −8.56135 | + | 2.33174i | −0.288767 | + | 0.0786477i | ||||
\(880\) | 3.19853 | − | 6.17228i | 0.107822 | − | 0.208068i | ||||
\(881\) | −13.8753 | −0.467470 | −0.233735 | − | 0.972300i | \(-0.575095\pi\) | ||||
−0.233735 | + | 0.972300i | \(0.575095\pi\) | |||||||
\(882\) | 52.2868 | − | 17.0303i | 1.76059 | − | 0.573438i | ||||
\(883\) | 27.0155i | 0.909144i | 0.890710 | + | 0.454572i | \(0.150208\pi\) | ||||
−0.890710 | + | 0.454572i | \(0.849792\pi\) | |||||||
\(884\) | −72.7709 | + | 126.043i | −2.44755 | + | 4.23928i | ||||
\(885\) | 20.3436 | + | 4.38293i | 0.683844 | + | 0.147331i | ||||
\(886\) | −19.8113 | − | 34.3143i | −0.665575 | − | 1.15281i | ||||
\(887\) | 43.1653i | 1.44935i | 0.689091 | + | 0.724675i | \(0.258010\pi\) | ||||
−0.689091 | + | 0.724675i | \(0.741990\pi\) | |||||||
\(888\) | 53.0548 | + | 13.9827i | 1.78040 | + | 0.469228i | ||||
\(889\) | −29.1042 | − | 11.2975i | −0.976123 | − | 0.378906i | ||||
\(890\) | −1.21053 | − | 26.5921i | −0.0405770 | − | 0.891370i | ||||
\(891\) | 2.83264 | − | 0.0465463i | 0.0948970 | − | 0.00155936i | ||||
\(892\) | −44.7389 | − | 25.8300i | −1.49797 | − | 0.864853i | ||||
\(893\) | 17.7584i | 0.594263i | ||||||||
\(894\) | −14.1078 | + | 3.84234i | −0.471834 | + | 0.128507i | ||||
\(895\) | 12.4874 | − | 24.0972i | 0.417407 | − | 0.805481i | ||||
\(896\) | −2.50773 | + | 2.01519i | −0.0837774 | + | 0.0673228i | ||||
\(897\) | −9.97409 | − | 36.6214i | −0.333025 | − | 1.22275i | ||||
\(898\) | 54.6178 | + | 31.5336i | 1.82262 | + | 1.05229i | ||||
\(899\) | 1.29913 | − | 2.25015i | 0.0433283 | − | 0.0750468i | ||||
\(900\) | 59.1767 | − | 42.4970i | 1.97256 | − | 1.41657i | ||||
\(901\) | −29.0798 | − | 50.3677i | −0.968790 | − | 1.67799i | ||||
\(902\) | −1.33929 | + | 0.773239i | −0.0445935 | + | 0.0257461i | ||||
\(903\) | 25.8040 | + | 18.7337i | 0.858704 | + | 0.623417i | ||||
\(904\) | 16.0080 | − | 27.7266i | 0.532417 | − | 0.922173i | ||||
\(905\) | 8.25951 | − | 0.375990i | 0.274555 | − | 0.0124983i | ||||
\(906\) | 79.9526 | − | 21.7756i | 2.65625 | − | 0.723447i | ||||
\(907\) | − | 4.21072i | − | 0.139815i | −0.997553 | − | 0.0699074i | \(-0.977730\pi\) | ||
0.997553 | − | 0.0699074i | \(-0.0222704\pi\) | |||||||
\(908\) | 31.3361 | − | 18.0919i | 1.03992 | − | 0.600401i | ||||
\(909\) | 0.136028 | + | 16.5574i | 0.00451175 | + | 0.549175i | ||||
\(910\) | 66.6313 | − | 13.4249i | 2.20881 | − | 0.445032i | ||||
\(911\) | 1.90041 | + | 3.29160i | 0.0629634 | + | 0.109056i | 0.895789 | − | 0.444480i | \(-0.146612\pi\) |
−0.832825 | + | 0.553536i | \(0.813278\pi\) | |||||||
\(912\) | 21.5831 | − | 21.7611i | 0.714687 | − | 0.720582i | ||||
\(913\) | 4.10092 | − | 2.36767i | 0.135721 | − | 0.0783584i | ||||
\(914\) | 5.51156 | + | 9.54630i | 0.182306 | + | 0.315763i | ||||
\(915\) | 7.15089 | + | 22.2167i | 0.236401 | + | 0.734463i | ||||
\(916\) | −23.4097 | − | 40.5469i | −0.773479 | − | 1.33971i | ||||
\(917\) | −15.3338 | + | 39.5023i | −0.506365 | + | 1.30448i | ||||
\(918\) | −22.9438 | + | 90.0519i | −0.757258 | + | 2.97215i | ||||
\(919\) | −10.4908 | − | 18.1705i | −0.346059 | − | 0.599391i | 0.639487 | − | 0.768802i | \(-0.279147\pi\) |
−0.985545 | + | 0.169411i | \(0.945813\pi\) | |||||||
\(920\) | −83.4662 | + | 3.79955i | −2.75180 | + | 0.125267i | ||||
\(921\) | 8.29856 | + | 8.23067i | 0.273447 | + | 0.271210i | ||||
\(922\) | − | 48.8049i | − | 1.60730i | ||||||
\(923\) | −20.1640 | − | 11.6417i | −0.663706 | − | 0.383191i | ||||
\(924\) | 4.11616 | − | 5.66965i | 0.135412 | − | 0.186518i | ||||
\(925\) | −17.2968 | + | 12.2074i | −0.568717 | + | 0.401376i | ||||
\(926\) | 17.1084 | + | 29.6327i | 0.562218 | + | 0.973791i | ||||
\(927\) | −39.7929 | + | 0.326919i | −1.30697 | + | 0.0107374i | ||||
\(928\) | −20.4081 | − | 11.7826i | −0.669928 | − | 0.386783i | ||||
\(929\) | 20.0867 | − | 34.7913i | 0.659025 | − | 1.14146i | −0.321844 | − | 0.946793i | \(-0.604303\pi\) |
0.980869 | − | 0.194671i | \(-0.0623641\pi\) | |||||||
\(930\) | −9.03521 | − | 8.18063i | −0.296276 | − | 0.268254i | ||||
\(931\) | −2.69949 | + | 12.2476i | −0.0884723 | + | 0.401398i | ||||
\(932\) | −31.7321 | − | 18.3205i | −1.03942 | − | 0.600109i | ||||
\(933\) | −18.2865 | − | 4.81942i | −0.598672 | − | 0.157781i | ||||
\(934\) | −27.7707 | −0.908687 | ||||||||
\(935\) | −4.26816 | − | 2.21180i | −0.139584 | − | 0.0723336i | ||||
\(936\) | −85.6821 | − | 48.5344i | −2.80061 | − | 1.58640i | ||||
\(937\) | − | 20.8278i | − | 0.680414i | −0.940351 | − | 0.340207i | \(-0.889503\pi\) | ||
0.940351 | − | 0.340207i | \(-0.110497\pi\) | |||||||
\(938\) | 7.91817 | − | 20.3985i | 0.258537 | − | 0.666034i | ||||
\(939\) | 32.5866 | − | 8.87518i | 1.06342 | − | 0.289630i | ||||
\(940\) | −4.89529 | − | 107.537i | −0.159667 | − | 3.50746i | ||||
\(941\) | −13.5288 | − | 23.4326i | −0.441027 | − | 0.763881i | 0.556739 | − | 0.830688i | \(-0.312052\pi\) |
−0.997766 | + | 0.0668061i | \(0.978719\pi\) | |||||||
\(942\) | 35.4953 | − | 35.7881i | 1.15650 | − | 1.16604i | ||||
\(943\) | 8.11511 | + | 4.68526i | 0.264265 | + | 0.152573i | ||||
\(944\) | −53.0690 | −1.72725 | ||||||||
\(945\) | 27.3665 | − | 14.0027i | 0.890232 | − | 0.455507i | ||||
\(946\) | 5.73565 | 0.186482 | ||||||||
\(947\) | 18.7970 | + | 10.8525i | 0.610822 | + | 0.352658i | 0.773287 | − | 0.634056i | \(-0.218611\pi\) |
−0.162465 | + | 0.986714i | \(0.551945\pi\) | |||||||
\(948\) | −8.94509 | + | 9.01888i | −0.290523 | + | 0.292920i | ||||
\(949\) | 24.4220 | + | 42.3001i | 0.792772 | + | 1.37312i | ||||
\(950\) | 2.13129 | + | 23.3610i | 0.0691483 | + | 0.757930i | ||||
\(951\) | 41.6543 | − | 11.3448i | 1.35073 | − | 0.367881i | ||||
\(952\) | 84.6802 | + | 105.377i | 2.74450 | + | 3.41529i | ||||
\(953\) | 7.59489i | 0.246023i | 0.992405 | + | 0.123011i | \(0.0392551\pi\) | ||||
−0.992405 | + | 0.123011i | \(0.960745\pi\) | |||||||
\(954\) | 57.6582 | − | 33.9236i | 1.86675 | − | 1.09832i | ||||
\(955\) | −19.2996 | + | 37.2429i | −0.624520 | + | 1.20515i | ||||
\(956\) | −120.305 | −3.89094 | ||||||||
\(957\) | 1.13981 | + | 0.300399i | 0.0368448 | + | 0.00971051i | ||||
\(958\) | 57.3335 | + | 33.1015i | 1.85236 | + | 1.06946i | ||||
\(959\) | −37.3657 | − | 14.5044i | −1.20660 | − | 0.468371i | ||||
\(960\) | −22.8478 | + | 25.2346i | −0.737410 | + | 0.814443i | ||||
\(961\) | 14.7778 | − | 25.5960i | 0.476704 | − | 0.825676i | ||||
\(962\) | 42.1291 | + | 24.3233i | 1.35830 | + | 0.784213i | ||||
\(963\) | 5.04505 | + | 8.57482i | 0.162574 | + | 0.276320i | ||||
\(964\) | −0.598373 | − | 1.03641i | −0.0192723 | − | 0.0333806i | ||||
\(965\) | −39.6012 | + | 25.3323i | −1.27481 | + | 0.815474i | ||||
\(966\) | −59.6078 | − | 6.24354i | −1.91785 | − | 0.200883i | ||||
\(967\) | 50.2736 | + | 29.0255i | 1.61669 | + | 0.933397i | 0.987768 | + | 0.155930i | \(0.0498374\pi\) |
0.628923 | + | 0.777467i | \(0.283496\pi\) | |||||||
\(968\) | 81.5535i | 2.62123i | ||||||||
\(969\) | −15.0479 | − | 14.9248i | −0.483408 | − | 0.479453i | ||||
\(970\) | −39.0088 | + | 1.77576i | −1.25250 | + | 0.0570162i | ||||
\(971\) | −15.6909 | − | 27.1775i | −0.503545 | − | 0.872166i | −0.999992 | − | 0.00409858i | \(-0.998695\pi\) |
0.496446 | − | 0.868067i | \(-0.334638\pi\) | |||||||
\(972\) | −73.5205 | − | 18.0900i | −2.35817 | − | 0.580237i | ||||
\(973\) | −15.7144 | − | 19.5552i | −0.503779 | − | 0.626910i | ||||
\(974\) | 19.6314 | + | 34.0026i | 0.629031 | + | 1.08951i | ||||
\(975\) | 35.6027 | − | 13.2746i | 1.14020 | − | 0.425128i | ||||
\(976\) | −29.7589 | − | 51.5439i | −0.952558 | − | 1.64988i | ||||
\(977\) | 29.0100 | − | 16.7489i | 0.928111 | − | 0.535845i | 0.0418974 | − | 0.999122i | \(-0.486660\pi\) |
0.886214 | + | 0.463277i | \(0.153326\pi\) | |||||||
\(978\) | −15.2416 | + | 15.3673i | −0.487373 | + | 0.491393i | ||||
\(979\) | −0.715529 | − | 1.23933i | −0.0228684 | − | 0.0396092i | ||||
\(980\) | 12.9707 | − | 74.9096i | 0.414333 | − | 2.39290i | ||||
\(981\) | −32.7081 | − | 18.5274i | −1.04429 | − | 0.591535i | ||||
\(982\) | 82.8880 | − | 47.8554i | 2.64506 | − | 1.52713i | ||||
\(983\) | 16.3973i | 0.522993i | 0.965204 | + | 0.261497i | \(0.0842161\pi\) | ||||
−0.965204 | + | 0.261497i | \(0.915784\pi\) | |||||||
\(984\) | 23.4569 | − | 6.38866i | 0.747780 | − | 0.203663i | ||||
\(985\) | 0.467726 | + | 10.2747i | 0.0149030 | + | 0.327380i | ||||
\(986\) | −19.3324 | + | 33.4846i | −0.615668 | + | 1.06637i | ||||
\(987\) | 4.73173 | − | 45.1743i | 0.150613 | − | 1.43791i | ||||
\(988\) | 33.0652 | − | 19.0902i | 1.05194 | − | 0.607340i | ||||
\(989\) | −17.3769 | − | 30.0977i | −0.552553 | − | 0.957051i | ||||
\(990\) | 2.50368 | − | 4.93014i | 0.0795721 | − | 0.156690i | ||||
\(991\) | 15.8703 | − | 27.4882i | 0.504138 | − | 0.873193i | −0.495851 | − | 0.868408i | \(-0.665144\pi\) |
0.999989 | − | 0.00478473i | \(-0.00152303\pi\) | |||||||
\(992\) | 11.3446 | + | 6.54982i | 0.360192 | + | 0.207957i | ||||
\(993\) | −3.03149 | − | 11.1306i | −0.0962014 | − | 0.353218i | ||||
\(994\) | −28.6590 | + | 23.0302i | −0.909009 | + | 0.730472i | ||||
\(995\) | −5.07450 | + | 9.79239i | −0.160873 | + | 0.310440i | ||||
\(996\) | −122.106 | + | 33.2563i | −3.86906 | + | 1.05377i | ||||
\(997\) | 12.6928i | 0.401987i | 0.979593 | + | 0.200993i | \(0.0644169\pi\) | ||||
−0.979593 | + | 0.200993i | \(0.935583\pi\) | |||||||
\(998\) | 10.0380 | + | 5.79547i | 0.317749 | + | 0.183452i | ||||
\(999\) | 21.3202 | + | 5.43205i | 0.674541 | + | 0.171862i |
(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 | 315.2.bo.b.4.2 | yes | 84 | |
3.2 | odd | 2 | 945.2.bo.b.739.41 | 84 | |||
5.4 | even | 2 | inner | 315.2.bo.b.4.41 | yes | 84 | |
7.2 | even | 3 | 315.2.r.b.184.41 | yes | 84 | ||
9.2 | odd | 6 | 945.2.r.b.424.2 | 84 | |||
9.7 | even | 3 | 315.2.r.b.214.41 | yes | 84 | ||
15.14 | odd | 2 | 945.2.bo.b.739.2 | 84 | |||
21.2 | odd | 6 | 945.2.r.b.604.2 | 84 | |||
35.9 | even | 6 | 315.2.r.b.184.2 | ✓ | 84 | ||
45.29 | odd | 6 | 945.2.r.b.424.41 | 84 | |||
45.34 | even | 6 | 315.2.r.b.214.2 | yes | 84 | ||
63.2 | odd | 6 | 945.2.bo.b.289.2 | 84 | |||
63.16 | even | 3 | inner | 315.2.bo.b.79.41 | yes | 84 | |
105.44 | odd | 6 | 945.2.r.b.604.41 | 84 | |||
315.79 | even | 6 | inner | 315.2.bo.b.79.2 | yes | 84 | |
315.254 | odd | 6 | 945.2.bo.b.289.41 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.r.b.184.2 | ✓ | 84 | 35.9 | even | 6 | ||
315.2.r.b.184.41 | yes | 84 | 7.2 | even | 3 | ||
315.2.r.b.214.2 | yes | 84 | 45.34 | even | 6 | ||
315.2.r.b.214.41 | yes | 84 | 9.7 | even | 3 | ||
315.2.bo.b.4.2 | yes | 84 | 1.1 | even | 1 | trivial | |
315.2.bo.b.4.41 | yes | 84 | 5.4 | even | 2 | inner | |
315.2.bo.b.79.2 | yes | 84 | 315.79 | even | 6 | inner | |
315.2.bo.b.79.41 | yes | 84 | 63.16 | even | 3 | inner | |
945.2.r.b.424.2 | 84 | 9.2 | odd | 6 | |||
945.2.r.b.424.41 | 84 | 45.29 | odd | 6 | |||
945.2.r.b.604.2 | 84 | 21.2 | odd | 6 | |||
945.2.r.b.604.41 | 84 | 105.44 | odd | 6 | |||
945.2.bo.b.289.2 | 84 | 63.2 | odd | 6 | |||
945.2.bo.b.289.41 | 84 | 315.254 | odd | 6 | |||
945.2.bo.b.739.2 | 84 | 15.14 | odd | 2 | |||
945.2.bo.b.739.41 | 84 | 3.2 | odd | 2 |