Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,3,Mod(13,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.j (of order \(18\), degree \(6\), 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: | \(2.07085000914\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 93 x^{16} + 3429 x^{14} + 64261 x^{12} + 647217 x^{10} + 3386277 x^{8} + 8232133 x^{6} + 8319228 x^{4} + 2467872 x^{2} + 69312 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 53.2 | ||
Root | \(-1.29756i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 76.53 |
Dual form | 76.3.j.a.33.2 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.95150 | + | 0.344102i | −0.650499 | + | 0.114701i | −0.489154 | − | 0.872198i | \(-0.662694\pi\) |
−0.161345 | + | 0.986898i | \(0.551583\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −6.26982 | + | 5.26101i | −1.25396 | + | 1.05220i | −0.257667 | + | 0.966234i | \(0.582954\pi\) |
−0.996298 | + | 0.0859675i | \(0.972602\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.733695 | + | 1.27080i | −0.104814 | + | 0.181542i | −0.913662 | − | 0.406475i | \(-0.866758\pi\) |
0.808848 | + | 0.588017i | \(0.200091\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −4.76730 | + | 1.73516i | −0.529700 | + | 0.192795i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.00699 | + | 6.94030i | 0.364271 | + | 0.630937i | 0.988659 | − | 0.150178i | \(-0.0479847\pi\) |
−0.624388 | + | 0.781115i | \(0.714651\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.08826 | + | 0.544543i | 0.237558 | + | 0.0418879i | 0.291160 | − | 0.956674i | \(-0.405959\pi\) |
−0.0536014 | + | 0.998562i | \(0.517070\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 10.4252 | − | 12.4243i | 0.695015 | − | 0.828286i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −24.4418 | − | 8.89608i | −1.43775 | − | 0.523299i | −0.498610 | − | 0.866827i | \(-0.666156\pi\) |
−0.939143 | + | 0.343528i | \(0.888378\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 18.9886 | − | 0.657543i | 0.999401 | − | 0.0346075i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.994520 | − | 2.73242i | 0.0473581 | − | 0.130115i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 15.0102 | + | 12.5950i | 0.652617 | + | 0.547611i | 0.907864 | − | 0.419265i | \(-0.137712\pi\) |
−0.255247 | + | 0.966876i | \(0.582157\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.29129 | − | 41.3510i | 0.291652 | − | 1.65404i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 24.1514 | − | 13.9438i | 0.894495 | − | 0.516437i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 14.4735 | + | 39.7655i | 0.499085 | + | 1.37122i | 0.892161 | + | 0.451718i | \(0.149189\pi\) |
−0.393076 | + | 0.919506i | \(0.628589\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −23.5291 | − | 13.5845i | −0.759004 | − | 0.438211i | 0.0699340 | − | 0.997552i | \(-0.477721\pi\) |
−0.828938 | + | 0.559340i | \(0.811054\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −10.2078 | − | 12.1652i | −0.309327 | − | 0.368641i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.08553 | − | 11.8276i | −0.0595867 | − | 0.337933i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 34.6395i | 0.936202i | 0.883675 | + | 0.468101i | \(0.155062\pi\) | ||||
−0.883675 | + | 0.468101i | \(0.844938\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −6.21410 | −0.159336 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −41.3997 | + | 7.29988i | −1.00975 | + | 0.178046i | −0.653967 | − | 0.756524i | \(-0.726896\pi\) |
−0.355781 | + | 0.934569i | \(0.615785\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −25.7244 | + | 21.5853i | −0.598242 | + | 0.501985i | −0.890880 | − | 0.454239i | \(-0.849911\pi\) |
0.292638 | + | 0.956223i | \(0.405467\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 20.7615 | − | 35.9599i | 0.461366 | − | 0.799109i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 13.2418 | − | 4.81962i | 0.281740 | − | 0.102545i | −0.197285 | − | 0.980346i | \(-0.563212\pi\) |
0.479025 | + | 0.877801i | \(0.340990\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 23.4234 | + | 40.5705i | 0.478028 | + | 0.827969i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 50.7592 | + | 8.95022i | 0.995279 | + | 0.175495i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −11.9055 | + | 14.1884i | −0.224631 | + | 0.267705i | −0.866575 | − | 0.499046i | \(-0.833684\pi\) |
0.641944 | + | 0.766752i | \(0.278128\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −61.6361 | − | 22.4337i | −1.12066 | − | 0.407885i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −36.8300 | + | 7.81721i | −0.646140 | + | 0.137144i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −38.5848 | + | 106.011i | −0.653980 | + | 1.79680i | −0.0514857 | + | 0.998674i | \(0.516396\pi\) |
−0.602495 | + | 0.798123i | \(0.705827\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.25904 | + | 4.41286i | 0.0862137 | + | 0.0723419i | 0.684876 | − | 0.728660i | \(-0.259856\pi\) |
−0.598662 | + | 0.801002i | \(0.704301\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.29271 | − | 7.33134i | 0.0205193 | − | 0.116371i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −22.2277 | + | 12.8331i | −0.341964 | + | 0.197433i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −32.1119 | − | 88.2267i | −0.479282 | − | 1.31682i | −0.910104 | − | 0.414380i | \(-0.863999\pi\) |
0.430822 | − | 0.902437i | \(-0.358224\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −33.6263 | − | 19.4142i | −0.487338 | − | 0.281365i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 40.4679 | + | 48.2277i | 0.569970 | + | 0.679264i | 0.971625 | − | 0.236527i | \(-0.0760092\pi\) |
−0.401655 | + | 0.915791i | \(0.631565\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.1289 | − | 63.1153i | −0.152451 | − | 0.864593i | −0.961079 | − | 0.276273i | \(-0.910901\pi\) |
0.808628 | − | 0.588320i | \(-0.200211\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 83.2052i | 1.10940i | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −11.7596 | −0.152722 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 131.967 | − | 23.2694i | 1.67047 | − | 0.294549i | 0.743235 | − | 0.669031i | \(-0.233291\pi\) |
0.927234 | + | 0.374482i | \(0.122179\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.35616 | + | 6.17255i | −0.0908168 | + | 0.0762043i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 64.9155 | − | 112.437i | 0.782114 | − | 1.35466i | −0.148593 | − | 0.988898i | \(-0.547475\pi\) |
0.930708 | − | 0.365764i | \(-0.119192\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 200.048 | − | 72.8115i | 2.35351 | − | 0.856606i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −41.9283 | − | 72.6219i | −0.481934 | − | 0.834735i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 27.7532 | + | 4.89363i | 0.311833 | + | 0.0549846i | 0.327375 | − | 0.944895i | \(-0.393836\pi\) |
−0.0155415 | + | 0.999879i | \(0.504947\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.95784 | + | 3.52502i | −0.0325037 | + | 0.0387365i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 50.5915 | + | 18.4138i | 0.543994 | + | 0.197998i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −115.596 | + | 104.022i | −1.21680 | + | 1.09497i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 28.3963 | − | 78.0182i | 0.292746 | − | 0.804312i | −0.702917 | − | 0.711272i | \(-0.748119\pi\) |
0.995662 | − | 0.0930397i | \(-0.0296584\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −31.1450 | − | 26.1338i | −0.314596 | − | 0.263977i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 14.3170 | − | 81.1957i | 0.141752 | − | 0.803918i | −0.828165 | − | 0.560484i | \(-0.810615\pi\) |
0.969917 | − | 0.243434i | \(-0.0782739\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −86.8134 | + | 50.1218i | −0.842849 | + | 0.486619i | −0.858232 | − | 0.513263i | \(-0.828437\pi\) |
0.0153828 | + | 0.999882i | \(0.495103\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.13982 | + | 22.3640i | 0.0775221 | + | 0.212990i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −108.773 | − | 62.7998i | −1.01657 | − | 0.586914i | −0.103458 | − | 0.994634i | \(-0.532991\pi\) |
−0.913107 | + | 0.407719i | \(0.866324\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 103.327 | + | 123.141i | 0.947958 | + | 1.12973i | 0.991425 | + | 0.130677i | \(0.0417152\pi\) |
−0.0434671 | + | 0.999055i | \(0.513840\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.9195 | − | 67.5989i | −0.107383 | − | 0.608999i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 172.214i | 1.52402i | 0.647565 | + | 0.762010i | \(0.275787\pi\) | ||||
−0.647565 | + | 0.762010i | \(0.724213\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −160.374 | −1.39456 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −15.6675 | + | 2.76261i | −0.133910 | + | 0.0236120i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 29.2379 | − | 24.5335i | 0.245697 | − | 0.206164i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 28.3881 | − | 49.1697i | 0.234613 | − | 0.406361i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 78.2794 | − | 28.4914i | 0.636418 | − | 0.231637i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 69.5242 | + | 120.419i | 0.556194 | + | 0.963356i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 66.6088 | + | 11.7449i | 0.524479 | + | 0.0924798i | 0.429618 | − | 0.903011i | \(-0.358648\pi\) |
0.0948610 | + | 0.995491i | \(0.469759\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 42.7735 | − | 50.9755i | 0.331578 | − | 0.395159i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −68.0952 | − | 24.7846i | −0.519811 | − | 0.189196i | 0.0687722 | − | 0.997632i | \(-0.478092\pi\) |
−0.588583 | + | 0.808437i | \(0.700314\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −13.0962 | + | 24.6131i | −0.0984680 | + | 0.185061i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −78.0664 | + | 214.486i | −0.578269 | + | 1.58878i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −123.653 | − | 103.757i | −0.902576 | − | 0.757351i | 0.0681164 | − | 0.997677i | \(-0.478301\pi\) |
−0.970692 | + | 0.240326i | \(0.922746\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −33.1861 | + | 188.208i | −0.238749 | + | 1.35401i | 0.595825 | + | 0.803115i | \(0.296825\pi\) |
−0.834573 | + | 0.550897i | \(0.814286\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −24.1829 | + | 13.9620i | −0.171510 | + | 0.0990212i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 8.59531 | + | 23.6154i | 0.0601070 | + | 0.165143i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −299.953 | − | 173.178i | −2.06864 | − | 1.19433i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −59.6710 | − | 71.1132i | −0.405925 | − | 0.483763i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 9.13688 | + | 51.8178i | 0.0613214 | + | 0.347771i | 0.999996 | + | 0.00296543i | \(0.000943928\pi\) |
−0.938674 | + | 0.344805i | \(0.887945\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 15.0198i | − | 0.0994687i | −0.998762 | − | 0.0497344i | \(-0.984163\pi\) | ||
0.998762 | − | 0.0497344i | \(-0.0158375\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 131.957 | 0.862467 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 218.992 | − | 38.6142i | 1.41285 | − | 0.249124i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −173.728 | + | 145.775i | −1.10654 | + | 0.928501i | −0.997848 | − | 0.0655736i | \(-0.979112\pi\) |
−0.108697 | + | 0.994075i | \(0.534668\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 18.3512 | − | 31.7853i | 0.115417 | − | 0.199907i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −27.0186 | + | 9.83398i | −0.167818 | + | 0.0610806i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 101.688 | + | 176.129i | 0.623853 | + | 1.08054i | 0.988761 | + | 0.149502i | \(0.0477669\pi\) |
−0.364909 | + | 0.931043i | \(0.618900\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 128.002 | + | 22.5702i | 0.775770 | + | 0.136789i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 131.582 | − | 156.814i | 0.787918 | − | 0.939004i | −0.211344 | − | 0.977412i | \(-0.567784\pi\) |
0.999262 | + | 0.0384078i | \(0.0122286\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −149.567 | − | 54.4380i | −0.885013 | − | 0.322119i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −89.3835 | + | 36.0829i | −0.522711 | + | 0.211011i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 25.3925 | − | 69.7654i | 0.146778 | − | 0.403268i | −0.844416 | − | 0.535688i | \(-0.820052\pi\) |
0.991194 | + | 0.132420i | \(0.0422746\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 47.1991 | + | 39.6047i | 0.269709 | + | 0.226313i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 38.8197 | − | 220.157i | 0.219320 | − | 1.24383i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 197.109 | − | 113.801i | 1.10117 | − | 0.635761i | 0.164642 | − | 0.986353i | \(-0.447353\pi\) |
0.936528 | + | 0.350593i | \(0.114020\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 113.203 | + | 311.022i | 0.625429 | + | 1.71835i | 0.693292 | + | 0.720657i | \(0.256160\pi\) |
−0.0678628 | + | 0.997695i | \(0.521618\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.7815 | − | 6.80203i | −0.0643796 | − | 0.0371696i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −182.239 | − | 217.184i | −0.985073 | − | 1.17396i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −36.1964 | − | 205.280i | −0.193564 | − | 1.09775i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 40.9220i | 0.216518i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 173.982 | 0.910900 | 0.455450 | − | 0.890261i | \(-0.349478\pi\) | ||||
0.455450 | + | 0.890261i | \(0.349478\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −153.848 | + | 27.1275i | −0.797139 | + | 0.140557i | −0.557361 | − | 0.830270i | \(-0.688186\pi\) |
−0.239779 | + | 0.970828i | \(0.577075\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 38.9613 | − | 32.6924i | 0.199802 | − | 0.167653i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.29665 | − | 16.1023i | 0.0471911 | − | 0.0817374i | −0.841465 | − | 0.540312i | \(-0.818306\pi\) |
0.888656 | + | 0.458574i | \(0.151640\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 32.2054 | − | 11.7218i | 0.161836 | − | 0.0589035i | −0.259832 | − | 0.965654i | \(-0.583667\pi\) |
0.421668 | + | 0.906750i | \(0.361445\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 93.0252 | + | 161.124i | 0.462812 | + | 0.801614i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −61.1530 | − | 10.7829i | −0.301246 | − | 0.0531178i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 221.164 | − | 263.573i | 1.07885 | − | 1.28572i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −93.4124 | − | 33.9993i | −0.451268 | − | 0.164248i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 80.6507 | + | 129.152i | 0.385888 | + | 0.617952i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 53.0635 | − | 145.791i | 0.251486 | − | 0.690952i | −0.748138 | − | 0.663543i | \(-0.769052\pi\) |
0.999624 | − | 0.0274090i | \(-0.00872566\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −95.5682 | − | 80.1912i | −0.448677 | − | 0.376485i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 47.7269 | − | 270.672i | 0.221985 | − | 1.25894i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 34.5264 | − | 19.9338i | 0.159108 | − | 0.0918609i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 43.4362 | + | 119.340i | 0.198339 | + | 0.544931i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −70.6382 | − | 40.7830i | −0.319630 | − | 0.184538i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 239.061 | + | 284.901i | 1.07202 | + | 1.27758i | 0.958820 | + | 0.284013i | \(0.0916658\pi\) |
0.113201 | + | 0.993572i | \(0.463890\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 36.9906 | + | 209.784i | 0.164403 | + | 0.932374i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 64.3587i | 0.283518i | 0.989901 | + | 0.141759i | \(0.0452759\pi\) | ||||
−0.989901 | + | 0.141759i | \(0.954724\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −110.363 | −0.481936 | −0.240968 | − | 0.970533i | \(-0.577465\pi\) | ||||
−0.240968 | + | 0.970533i | \(0.577465\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 22.9489 | − | 4.04650i | 0.0993457 | − | 0.0175173i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 74.0516 | − | 62.1367i | 0.317818 | − | 0.266681i | −0.469896 | − | 0.882722i | \(-0.655709\pi\) |
0.787714 | + | 0.616041i | \(0.211264\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −57.6677 | + | 99.8833i | −0.245394 | + | 0.425035i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −249.526 | + | 90.8201i | −1.05285 | + | 0.383207i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −97.2196 | − | 168.389i | −0.406777 | − | 0.704558i | 0.587750 | − | 0.809043i | \(-0.300014\pi\) |
−0.994526 | + | 0.104485i | \(0.966681\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 44.1394 | + | 7.78296i | 0.183151 | + | 0.0322945i | 0.264471 | − | 0.964394i | \(-0.414803\pi\) |
−0.0813203 | + | 0.996688i | \(0.525914\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −149.101 | + | 177.691i | −0.613583 | + | 0.731239i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −360.302 | − | 131.139i | −1.47062 | − | 0.535262i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 58.9998 | + | 8.30946i | 0.238866 | + | 0.0336415i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −87.9927 | + | 241.758i | −0.353384 | + | 0.970915i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 65.2741 | + | 54.7715i | 0.260056 | + | 0.218213i | 0.763488 | − | 0.645822i | \(-0.223485\pi\) |
−0.503432 | + | 0.864035i | \(0.667930\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −27.2678 | + | 154.643i | −0.107778 | + | 0.611239i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −365.339 | + | 210.928i | −1.43270 | + | 0.827170i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 56.5131 | + | 155.268i | 0.219895 | + | 0.604157i | 0.999763 | − | 0.0217875i | \(-0.00693573\pi\) |
−0.779867 | + | 0.625945i | \(0.784714\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −44.0197 | − | 25.4148i | −0.169960 | − | 0.0981267i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −137.999 | − | 164.460i | −0.528731 | − | 0.630116i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.962817 | − | 5.46041i | −0.00366090 | − | 0.0207620i | 0.982923 | − | 0.184020i | \(-0.0589110\pi\) |
−0.986583 | + | 0.163258i | \(0.947800\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 151.593i | − | 0.572051i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −55.8441 | −0.209154 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −27.2932 | + | 4.81253i | −0.101462 | + | 0.0178905i | −0.224149 | − | 0.974555i | \(-0.571960\pi\) |
0.122687 | + | 0.992445i | \(0.460849\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −307.622 | + | 258.126i | −1.13514 | + | 0.952493i | −0.999269 | − | 0.0382341i | \(-0.987827\pi\) |
−0.135868 | + | 0.990727i | \(0.543382\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 4.55925 | − | 7.89686i | 0.0167006 | − | 0.0289262i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 316.204 | − | 115.089i | 1.14983 | − | 0.418505i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −62.5547 | − | 108.348i | −0.225829 | − | 0.391148i | 0.730739 | − | 0.682657i | \(-0.239176\pi\) |
−0.956568 | + | 0.291510i | \(0.905842\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 135.742 | + | 23.9349i | 0.486529 | + | 0.0857883i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −121.544 | + | 144.851i | −0.432542 | + | 0.515483i | −0.937654 | − | 0.347570i | \(-0.887007\pi\) |
0.505112 | + | 0.863054i | \(0.331451\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 507.009 | + | 184.536i | 1.79155 | + | 0.652071i | 0.999113 | + | 0.0421181i | \(0.0134106\pi\) |
0.792438 | + | 0.609953i | \(0.208812\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 189.791 | − | 242.775i | 0.665933 | − | 0.851843i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 21.0981 | − | 57.9664i | 0.0735124 | − | 0.201974i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 296.874 | + | 249.107i | 1.02725 | + | 0.861961i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −28.5691 | + | 162.024i | −0.0981757 | + | 0.556782i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 197.211 | − | 113.860i | 0.673076 | − | 0.388601i | −0.124165 | − | 0.992262i | \(-0.539625\pi\) |
0.797241 | + | 0.603661i | \(0.206292\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −315.804 | − | 867.665i | −1.07052 | − | 2.94124i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 193.548 | + | 111.745i | 0.651678 | + | 0.376246i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 39.4968 | + | 47.0704i | 0.132096 | + | 0.157426i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.55671 | − | 48.5275i | −0.0284276 | − | 0.161221i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 163.380i | 0.539207i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −56.1893 | −0.184227 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −315.954 | + | 55.7112i | −1.02917 | + | 0.181470i | −0.662640 | − | 0.748938i | \(-0.730564\pi\) |
−0.366526 | + | 0.930408i | \(0.619453\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 152.169 | − | 127.685i | 0.492457 | − | 0.413220i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 86.9979 | − | 150.685i | 0.279736 | − | 0.484517i | −0.691583 | − | 0.722297i | \(-0.743086\pi\) |
0.971319 | + | 0.237780i | \(0.0764197\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.4686 | − | 3.81027i | 0.0334461 | − | 0.0121734i | −0.325243 | − | 0.945630i | \(-0.605446\pi\) |
0.358689 | + | 0.933457i | \(0.383224\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 30.4652 | + | 52.7672i | 0.0967148 | + | 0.167515i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −166.576 | − | 29.3719i | −0.525477 | − | 0.0926558i | −0.0953845 | − | 0.995441i | \(-0.530408\pi\) |
−0.430093 | + | 0.902785i | \(0.641519\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −217.990 | + | 259.790i | −0.683353 | + | 0.814389i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 233.879 | + | 85.1249i | 0.728594 | + | 0.265187i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −469.965 | − | 152.853i | −1.45500 | − | 0.473229i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 45.0348 | − | 123.732i | 0.138568 | − | 0.380714i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −244.016 | − | 204.754i | −0.746226 | − | 0.626158i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −3.59068 | + | 20.3638i | −0.0109139 | + | 0.0618959i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 79.1289 | − | 45.6851i | 0.239060 | − | 0.138022i | −0.375684 | − | 0.926748i | \(-0.622592\pi\) |
0.614745 | + | 0.788726i | \(0.289259\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −60.1049 | − | 165.137i | −0.180495 | − | 0.495906i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 665.497 | + | 384.225i | 1.98656 | + | 1.14694i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 272.227 | + | 324.428i | 0.807796 | + | 0.962694i | 0.999825 | − | 0.0186950i | \(-0.00595114\pi\) |
−0.192029 | + | 0.981389i | \(0.561507\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −59.2592 | − | 336.076i | −0.174806 | − | 0.991373i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 217.732i | − | 0.638511i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −140.645 | −0.410042 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 312.969 | − | 55.1849i | 0.907157 | − | 0.159956i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 442.043 | − | 370.918i | 1.27390 | − | 1.06893i | 0.279843 | − | 0.960046i | \(-0.409718\pi\) |
0.994055 | − | 0.108882i | \(-0.0347269\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.21731 | + | 5.57255i | −0.00921866 | + | 0.0159672i | −0.870598 | − | 0.491995i | \(-0.836268\pi\) |
0.861379 | + | 0.507962i | \(0.169601\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 82.1786 | − | 29.9106i | 0.234127 | − | 0.0852153i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −239.173 | − | 414.260i | −0.677544 | − | 1.17354i | −0.975718 | − | 0.219029i | \(-0.929711\pi\) |
0.298175 | − | 0.954511i | \(-0.403622\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −507.453 | − | 89.4777i | −1.42945 | − | 0.252050i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −48.6157 | + | 57.9379i | −0.136178 | + | 0.162291i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 341.910 | + | 124.445i | 0.952395 | + | 0.346643i | 0.771049 | − | 0.636776i | \(-0.219732\pi\) |
0.181346 | + | 0.983419i | \(0.441955\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 360.135 | − | 24.9717i | 0.997605 | − | 0.0691736i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −38.4800 | + | 105.723i | −0.106005 | + | 0.291248i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 401.827 | + | 337.173i | 1.10089 | + | 0.923760i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −42.2602 | + | 239.670i | −0.115150 | + | 0.653051i | 0.871525 | + | 0.490351i | \(0.163131\pi\) |
−0.986676 | + | 0.162700i | \(0.947980\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 184.698 | − | 106.636i | 0.500537 | − | 0.288985i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −9.29557 | − | 25.5394i | −0.0250554 | − | 0.0688393i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 127.166 | + | 73.4195i | 0.340928 | + | 0.196835i | 0.660682 | − | 0.750666i | \(-0.270267\pi\) |
−0.319754 | + | 0.947501i | \(0.603600\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −177.113 | − | 211.075i | −0.472301 | − | 0.562866i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 23.0437 | + | 130.687i | 0.0611240 | + | 0.346651i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.3180i | 0.0351398i | 0.999846 | + | 0.0175699i | \(0.00559296\pi\) | ||||
−0.999846 | + | 0.0175699i | \(0.994407\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −134.028 | −0.351780 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −60.2733 | + | 10.6278i | −0.157372 | + | 0.0277488i | −0.251779 | − | 0.967785i | \(-0.581016\pi\) |
0.0944072 | + | 0.995534i | \(0.469904\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 73.7307 | − | 61.8674i | 0.191508 | − | 0.160695i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 85.1820 | − | 147.540i | 0.220109 | − | 0.381239i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −630.808 | + | 229.595i | −1.62162 | + | 0.590220i | −0.983689 | − | 0.179878i | \(-0.942430\pi\) |
−0.637926 | + | 0.770098i | \(0.720208\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −254.829 | − | 441.377i | −0.651737 | − | 1.12884i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 141.416 | + | 24.9355i | 0.359837 | + | 0.0634490i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −704.990 | + | 840.174i | −1.78478 | + | 2.12702i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −330.666 | − | 120.352i | −0.832911 | − | 0.303155i | −0.109858 | − | 0.993947i | \(-0.535040\pi\) |
−0.723053 | + | 0.690793i | \(0.757262\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 17.0879 | − | 52.5388i | 0.0428268 | − | 0.131676i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.8166 | + | 48.9508i | −0.0444305 | + | 0.122072i | −0.959924 | − | 0.280262i | \(-0.909579\pi\) |
0.915493 | + | 0.402334i | \(0.131801\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −65.2666 | − | 54.7652i | −0.161952 | − | 0.135894i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 13.6480 | − | 77.4016i | 0.0336988 | − | 0.191115i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −240.409 | + | 138.800i | −0.590684 | + | 0.341032i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −23.5263 | − | 64.6379i | −0.0575214 | − | 0.158039i | 0.907604 | − | 0.419828i | \(-0.137910\pi\) |
−0.965125 | + | 0.261789i | \(0.915687\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 277.011 | + | 159.932i | 0.673993 | + | 0.389130i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −106.409 | − | 126.813i | −0.257649 | − | 0.307054i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 184.523 | + | 1046.48i | 0.444633 | + | 2.52164i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 378.706i | − | 0.908168i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −59.7382 | −0.142573 | −0.0712866 | − | 0.997456i | \(-0.522711\pi\) | ||||
−0.0712866 | + | 0.997456i | \(0.522711\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −201.011 | + | 35.4437i | −0.477462 | + | 0.0841894i | −0.407200 | − | 0.913339i | \(-0.633495\pi\) |
−0.0702620 | + | 0.997529i | \(0.522384\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −54.7648 | + | 45.9531i | −0.129468 | + | 0.108636i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −546.074 | + | 945.828i | −1.28488 | + | 2.22548i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.46637 | + | 3.44548i | −0.0221695 | + | 0.00806903i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −24.8998 | − | 43.1277i | −0.0580415 | − | 0.100531i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −342.996 | − | 60.4795i | −0.795815 | − | 0.140324i | −0.239065 | − | 0.971004i | \(-0.576841\pi\) |
−0.556750 | + | 0.830680i | \(0.687952\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 351.516 | − | 418.921i | 0.811816 | − | 0.967484i | −0.188077 | − | 0.982154i | \(-0.560225\pi\) |
0.999892 | + | 0.0146700i | \(0.00466976\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 644.947 | + | 234.742i | 1.48264 | + | 0.539636i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 293.305 | + | 229.293i | 0.671177 | + | 0.524697i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 184.868 | − | 507.922i | 0.421113 | − | 1.15700i | −0.529958 | − | 0.848024i | \(-0.677792\pi\) |
0.951071 | − | 0.308974i | \(-0.0999855\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −182.062 | − | 152.769i | −0.412840 | − | 0.346414i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −20.9050 | + | 118.558i | −0.0471896 | + | 0.267626i | −0.999269 | − | 0.0382248i | \(-0.987830\pi\) |
0.952080 | + | 0.305851i | \(0.0989408\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −199.753 | + | 115.327i | −0.448883 | + | 0.259163i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −35.6612 | − | 97.9783i | −0.0797789 | − | 0.219191i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 179.289 | + | 103.512i | 0.399307 | + | 0.230540i | 0.686185 | − | 0.727427i | \(-0.259284\pi\) |
−0.286878 | + | 0.957967i | \(0.592617\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −216.551 | − | 258.076i | −0.480158 | − | 0.572230i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.16833 | + | 29.3111i | 0.0114091 | + | 0.0647043i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | − | 37.6625i | − | 0.0827746i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 822.006 | 1.79870 | 0.899350 | − | 0.437229i | \(-0.144040\pi\) | ||||
0.899350 | + | 0.437229i | \(0.144040\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −714.348 | + | 125.959i | −1.55631 | + | 0.274420i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −94.9044 | + | 79.6342i | −0.205866 | + | 0.172742i | −0.739891 | − | 0.672726i | \(-0.765123\pi\) |
0.534025 | + | 0.845469i | \(0.320679\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 20.7428 | − | 35.9276i | 0.0448009 | − | 0.0775975i | −0.842755 | − | 0.538297i | \(-0.819068\pi\) |
0.887556 | + | 0.460699i | \(0.152401\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −414.075 | + | 150.711i | −0.890483 | + | 0.324109i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 104.451 | + | 180.914i | 0.223663 | + | 0.387396i | 0.955917 | − | 0.293636i | \(-0.0948652\pi\) |
−0.732255 | + | 0.681031i | \(0.761532\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 135.679 | + | 23.9238i | 0.289293 | + | 0.0510102i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 288.867 | − | 344.259i | 0.613307 | − | 0.730910i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −252.886 | − | 92.0430i | −0.534643 | − | 0.194594i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 111.262 | − | 789.992i | 0.234235 | − | 1.66314i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 32.1379 | − | 88.2981i | 0.0673750 | − | 0.185111i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −169.213 | − | 141.986i | −0.353263 | − | 0.296423i | 0.448836 | − | 0.893614i | \(-0.351839\pi\) |
−0.802099 | + | 0.597192i | \(0.796283\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −18.8627 | + | 106.976i | −0.0392156 | + | 0.222403i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 49.3429 | − | 28.4881i | 0.102159 | − | 0.0589816i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 232.415 | + | 638.554i | 0.479205 | + | 1.31661i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 464.405 | + | 268.124i | 0.953604 | + | 0.550563i | 0.894199 | − | 0.447671i | \(-0.147746\pi\) |
0.0594052 | + | 0.998234i | \(0.481080\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −259.050 | − | 308.724i | −0.529755 | − | 0.631337i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −36.3136 | − | 205.945i | −0.0739585 | − | 0.419440i | −0.999197 | − | 0.0400548i | \(-0.987247\pi\) |
0.925239 | − | 0.379385i | \(-0.123864\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 1100.70i | − | 2.23265i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 332.764 | 0.672250 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −90.9787 | + | 16.0420i | −0.183056 | + | 0.0322777i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 190.517 | − | 159.863i | 0.381798 | − | 0.320367i | −0.431610 | − | 0.902061i | \(-0.642054\pi\) |
0.813408 | + | 0.581694i | \(0.197610\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −202.823 | + | 351.299i | −0.404835 | + | 0.701196i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −566.747 | + | 206.279i | −1.12673 | + | 0.410098i | −0.837105 | − | 0.547041i | \(-0.815754\pi\) |
−0.289629 | + | 0.957139i | \(0.593532\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 337.406 | + | 584.405i | 0.668131 | + | 1.15724i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 310.612 | + | 54.7693i | 0.612647 | + | 0.108026i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 408.323 | − | 486.620i | 0.802205 | − | 0.956031i | −0.197500 | − | 0.980303i | \(-0.563282\pi\) |
0.999705 | + | 0.0242718i | \(0.00772670\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 88.3720 | + | 32.1648i | 0.172939 | + | 0.0629448i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 449.432 | − | 280.654i | 0.876086 | − | 0.547084i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 280.614 | − | 770.981i | 0.544881 | − | 1.49705i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 86.5093 | + | 72.5899i | 0.167329 | + | 0.140406i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −25.5471 | + | 144.885i | −0.0492236 | + | 0.279161i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 742.280 | − | 428.556i | 1.42472 | − | 0.822564i | 0.428025 | − | 0.903767i | \(-0.359210\pi\) |
0.996698 | + | 0.0812032i | \(0.0258763\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 61.0403 | + | 167.707i | 0.116712 | + | 0.320663i | 0.984270 | − | 0.176673i | \(-0.0565336\pi\) |
−0.867558 | + | 0.497337i | \(0.834311\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −105.737 | − | 61.0472i | −0.201404 | − | 0.116280i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 454.245 | + | 541.348i | 0.861944 | + | 1.02723i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −25.1893 | − | 142.855i | −0.0476167 | − | 0.270048i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 572.337i | − | 1.07785i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −131.828 | −0.247332 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1012.37 | − | 178.509i | 1.89229 | − | 0.333662i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −345.499 | + | 289.908i | −0.643388 | + | 0.539866i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −187.714 | + | 325.131i | −0.348264 | + | 0.603211i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −783.678 | + | 285.236i | −1.44857 | + | 0.527238i | −0.942192 | − | 0.335072i | \(-0.891239\pi\) |
−0.506381 | + | 0.862310i | \(0.669017\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −327.938 | − | 568.005i | −0.603937 | − | 1.04605i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1295.69 | − | 228.465i | −2.37741 | − | 0.419202i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −93.6553 | + | 111.614i | −0.171216 | + | 0.204048i | −0.844828 | − | 0.535038i | \(-0.820297\pi\) |
0.673612 | + | 0.739085i | \(0.264742\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −32.7284 | − | 11.9122i | −0.0596146 | − | 0.0216979i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 300.979 | + | 745.575i | 0.546241 | + | 1.35313i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −67.2529 | + | 184.776i | −0.121615 | + | 0.334134i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 430.371 | + | 361.124i | 0.775444 | + | 0.650674i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −40.1890 | + | 227.923i | −0.0721526 | + | 0.409198i | 0.927244 | + | 0.374458i | \(0.122171\pi\) |
−0.999396 | + | 0.0347397i | \(0.988940\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −91.1977 | + | 52.6530i | −0.163144 | + | 0.0941914i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 141.274 | + | 388.148i | 0.251826 | + | 0.691886i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −214.859 | − | 124.049i | −0.381632 | − | 0.220335i | 0.296896 | − | 0.954910i | \(-0.404049\pi\) |
−0.678528 | + | 0.734574i | \(0.737382\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −906.021 | − | 1079.75i | −1.60358 | − | 1.91107i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2.44688 | − | 13.8770i | −0.00431549 | − | 0.0244743i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 113.410i | − | 0.199314i | −0.995022 | − | 0.0996570i | \(-0.968225\pi\) | ||
0.995022 | − | 0.0996570i | \(-0.0317746\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −70.0063 | −0.122603 | −0.0613015 | − | 0.998119i | \(-0.519525\pi\) | ||||
−0.0613015 | + | 0.998119i | \(0.519525\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −339.525 | + | 59.8675i | −0.592540 | + | 0.104481i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 630.261 | − | 528.852i | 1.09611 | − | 0.919742i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −378.755 | + | 656.024i | −0.656422 | + | 1.13696i | 0.325114 | + | 0.945675i | \(0.394597\pi\) |
−0.981535 | + | 0.191281i | \(0.938736\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 290.899 | − | 105.879i | 0.502416 | − | 0.182865i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 95.2563 | + | 164.989i | 0.163952 | + | 0.283974i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −146.177 | − | 25.7749i | −0.250732 | − | 0.0442108i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 83.6985 | − | 99.7479i | 0.143074 | − | 0.170509i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 491.918 | + | 179.044i | 0.838021 | + | 0.305015i | 0.725147 | − | 0.688595i | \(-0.241772\pi\) |
0.112875 | + | 0.993609i | \(0.463994\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −455.718 | − | 242.480i | −0.773715 | − | 0.411681i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −12.6016 | + | 34.6225i | −0.0213224 | + | 0.0585829i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 78.0279 | + | 65.4732i | 0.131582 | + | 0.110410i | 0.706203 | − | 0.708009i | \(-0.250406\pi\) |
−0.574622 | + | 0.818419i | \(0.694851\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −54.2456 | + | 307.642i | −0.0911690 | + | 0.517045i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −58.8152 | + | 33.9570i | −0.0985179 | + | 0.0568793i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 40.2642 | + | 110.625i | 0.0672191 | + | 0.184683i | 0.968754 | − | 0.248023i | \(-0.0797810\pi\) |
−0.901535 | + | 0.432706i | \(0.857559\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.12203 | − | 4.11190i | −0.0118503 | − | 0.00684177i | 0.494063 | − | 0.869426i | \(-0.335511\pi\) |
−0.505913 | + | 0.862584i | \(0.668844\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 306.174 | + | 364.884i | 0.507751 | + | 0.605115i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 80.6935 | + | 457.635i | 0.133378 | + | 0.756422i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 13.7752i | − | 0.0226940i | −0.999936 | − | 0.0113470i | \(-0.996388\pi\) | ||
0.999936 | − | 0.0113470i | \(-0.00361194\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 123.050 | 0.202053 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 43.5185 | − | 7.67349i | 0.0712251 | − | 0.0125589i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 57.7119 | − | 48.4260i | 0.0941466 | − | 0.0789984i | −0.594500 | − | 0.804096i | \(-0.702650\pi\) |
0.688646 | + | 0.725098i | \(0.258205\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −340.905 | + | 590.464i | −0.554317 | + | 0.960104i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −178.372 | + | 64.9220i | −0.289095 | + | 0.105222i | −0.482497 | − | 0.875898i | \(-0.660270\pi\) |
0.193402 | + | 0.981120i | \(0.438048\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 70.1021 | + | 121.420i | 0.113250 | + | 0.196156i | 0.917079 | − | 0.398705i | \(-0.130540\pi\) |
−0.803829 | + | 0.594861i | \(0.797207\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 538.139 | + | 94.8884i | 0.866569 | + | 0.152799i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −26.5812 | + | 31.6782i | −0.0426664 | + | 0.0508478i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −83.0162 | − | 30.2154i | −0.132826 | − | 0.0483447i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −201.831 | − | 224.288i | −0.321899 | − | 0.357716i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 308.156 | − | 846.651i | 0.489914 | − | 1.34603i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −601.130 | − | 504.408i | −0.952662 | − | 0.799378i | 0.0270817 | − | 0.999633i | \(-0.491379\pi\) |
−0.979744 | + | 0.200255i | \(0.935823\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −53.3864 | + | 302.769i | −0.0843388 | + | 0.478309i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −479.416 | + | 276.791i | −0.754986 | + | 0.435891i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 50.2450 | + | 138.047i | 0.0788776 | + | 0.216714i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −276.605 | − | 159.698i | −0.432872 | − | 0.249919i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 182.035 | + | 216.940i | 0.283985 | + | 0.338441i | 0.889113 | − | 0.457688i | \(-0.151322\pi\) |
−0.605128 | + | 0.796129i | \(0.706878\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 131.759 | + | 747.245i | 0.204913 | + | 1.16212i | 0.897576 | + | 0.440860i | \(0.145327\pi\) |
−0.692662 | + | 0.721262i | \(0.743562\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 544.639i | 0.844402i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −980.479 | −1.51542 | −0.757712 | − | 0.652589i | \(-0.773683\pi\) | ||||
−0.757712 | + | 0.652589i | \(0.773683\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −890.357 | + | 156.994i | −1.37189 | + | 0.241901i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −60.5189 | + | 50.7814i | −0.0929629 | + | 0.0780052i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 462.959 | − | 801.868i | 0.708972 | − | 1.22798i | −0.256266 | − | 0.966606i | \(-0.582492\pi\) |
0.965239 | − | 0.261370i | \(-0.0841742\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 557.337 | − | 202.854i | 0.850897 | − | 0.309701i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 162.570 | + | 281.579i | 0.247443 | + | 0.428583i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −721.793 | − | 127.272i | −1.09528 | − | 0.193128i | −0.403320 | − | 0.915059i | \(-0.632144\pi\) |
−0.691965 | + | 0.721931i | \(0.743255\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −690.154 | + | 822.494i | −1.04411 | + | 1.24432i | −0.0751278 | + | 0.997174i | \(0.523936\pi\) |
−0.968979 | + | 0.247144i | \(0.920508\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 151.884 | + | 55.2812i | 0.229086 | + | 0.0833803i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −47.3786 | − | 223.219i | −0.0712460 | − | 0.335668i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −283.599 | + | 779.182i | −0.425186 | + | 1.16819i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −564.561 | − | 473.723i | −0.843888 | − | 0.708106i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.55367 | + | 54.1816i | −0.0142380 | + | 0.0807475i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 8.17686 | − | 4.72091i | 0.0121499 | − | 0.00701473i | −0.493913 | − | 0.869511i | \(-0.664434\pi\) |
0.506063 | + | 0.862497i | \(0.331100\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −400.495 | − | 1100.35i | −0.593326 | − | 1.63015i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 959.523 | + | 553.981i | 1.41732 | + | 0.818288i | 0.996062 | − | 0.0886554i | \(-0.0282570\pi\) |
0.421253 | + | 0.906943i | \(0.361590\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 78.3111 | + | 93.3275i | 0.115333 | + | 0.137448i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.1459 | − | 125.596i | −0.0325197 | − | 0.184428i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 224.067i | 0.328062i | 0.986455 | + | 0.164031i | \(0.0524498\pi\) | ||||
−0.986455 | + | 0.164031i | \(0.947550\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1321.15 | 1.92868 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 215.374 | − | 37.9762i | 0.313499 | − | 0.0552783i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −44.4933 | + | 37.3343i | −0.0645767 | + | 0.0541863i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 613.870 | − | 1063.25i | 0.888379 | − | 1.53872i | 0.0465880 | − | 0.998914i | \(-0.485165\pi\) |
0.841791 | − | 0.539804i | \(-0.181501\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 56.0616 | − | 20.4048i | 0.0808970 | − | 0.0294441i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −782.091 | − | 1354.62i | −1.12531 | − | 1.94909i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1076.82 | + | 189.873i | 1.54494 | + | 0.272414i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −123.130 | + | 146.741i | −0.176152 | + | 0.209930i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 589.300 | + | 214.488i | 0.840657 | + | 0.305974i | 0.726225 | − | 0.687457i | \(-0.241273\pi\) |
0.114432 | + | 0.993431i | \(0.463495\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.7770 | + | 657.756i | 0.0323997 | + | 0.935642i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 78.1683 | − | 214.766i | 0.110877 | − | 0.304632i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 92.6790 | + | 77.7669i | 0.131088 | + | 0.109996i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 38.8989 | − | 220.606i | 0.0548644 | − | 0.311151i | −0.945009 | − | 0.327043i | \(-0.893948\pi\) |
0.999874 | + | 0.0158920i | \(0.00505878\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −588.751 | + | 339.915i | −0.828060 | + | 0.478081i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −182.079 | − | 500.257i | −0.255370 | − | 0.701623i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −178.132 | − | 102.844i | −0.249135 | − | 0.143838i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 247.667 | + | 295.158i | 0.345421 | + | 0.411657i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −149.642 | − | 848.661i | −0.208125 | − | 1.18034i | −0.892446 | − | 0.451154i | \(-0.851012\pi\) |
0.684321 | − | 0.729181i | \(-0.260099\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 147.096i | − | 0.204017i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −88.8160 | −0.122844 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 1749.87 | − | 308.550i | 2.41362 | − | 0.425586i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 678.448 | − | 569.286i | 0.933216 | − | 0.783062i | −0.0431756 | − | 0.999068i | \(-0.513747\pi\) |
0.976392 | + | 0.216006i | \(0.0693030\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 273.038 | − | 472.916i | 0.374538 | − | 0.648719i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 820.775 | − | 298.738i | 1.12281 | − | 0.408670i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 85.7061 | + | 148.447i | 0.116925 | + | 0.202520i | 0.918548 | − | 0.395310i | \(-0.129363\pi\) |
−0.801623 | + | 0.597831i | \(0.796030\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 748.254 | + | 131.937i | 1.01803 | + | 0.179507i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 483.648 | − | 576.389i | 0.656239 | − | 0.782075i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 246.083 | + | 89.5668i | 0.332994 | + | 0.121200i | 0.503106 | − | 0.864225i | \(-0.332191\pi\) |
−0.170112 | + | 0.985425i | \(0.554413\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −117.997 | + | 4.08604i | −0.159240 | + | 0.00551422i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −398.919 | + | 1096.02i | −0.536904 | + | 1.47513i | 0.313802 | + | 0.949488i | \(0.398397\pi\) |
−0.850706 | + | 0.525642i | \(0.823825\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −329.901 | − | 276.819i | −0.442820 | − | 0.371570i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −114.376 | + | 648.659i | −0.153114 | + | 0.868352i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 159.612 | − | 92.1518i | 0.213100 | − | 0.123033i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −350.713 | − | 963.577i | −0.466995 | − | 1.28306i | −0.920129 | − | 0.391616i | \(-0.871916\pi\) |
0.453134 | − | 0.891443i | \(-0.350306\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −146.229 | − | 84.4255i | −0.194195 | − | 0.112119i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 79.0192 | + | 94.1714i | 0.104661 | + | 0.124730i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −52.0633 | − | 295.266i | −0.0687759 | − | 0.390047i | −0.999692 | − | 0.0248145i | \(-0.992100\pi\) |
0.930916 | − | 0.365233i | \(-0.119011\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 311.169i | − | 0.409972i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −872.406 | −1.14639 | −0.573197 | − | 0.819417i | \(-0.694297\pi\) | ||||
−0.573197 | + | 0.819417i | \(0.694297\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −232.298 | + | 40.9604i | −0.304453 | + | 0.0536833i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −827.350 | + | 694.229i | −1.08150 | + | 0.907489i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −176.887 | + | 306.378i | −0.230622 | + | 0.399450i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 192.314 | − | 69.9967i | 0.250084 | − | 0.0910230i | −0.213937 | − | 0.976848i | \(-0.568629\pi\) |
0.464020 | + | 0.885825i | \(0.346406\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −163.713 | − | 283.560i | −0.212339 | − | 0.367782i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −952.826 | − | 168.009i | −1.23263 | − | 0.217347i | −0.480878 | − | 0.876788i | \(-0.659682\pi\) |
−0.751757 | + | 0.659441i | \(0.770793\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −733.292 | + | 873.903i | −0.946183 | + | 1.12762i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 94.6497 | + | 34.4497i | 0.121814 | + | 0.0443368i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −781.322 | + | 165.837i | −1.00298 | + | 0.212884i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −172.561 | + | 474.107i | −0.220949 | + | 0.607051i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 904.036 | + | 758.576i | 1.15458 | + | 0.968807i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 322.319 | − | 1827.96i | 0.410598 | − | 2.32862i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 668.219 | − | 385.796i | 0.849071 | − | 0.490211i | −0.0112663 | − | 0.999937i | \(-0.503586\pi\) |
0.860337 | + | 0.509725i | \(0.170253\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.75787 | + | 10.3247i | 0.00476282 | + | 0.0130857i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −218.849 | − | 126.353i | −0.276674 | − | 0.159738i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.8383 | + | 16.4918i | 0.0174505 | + | 0.0207967i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 52.1635 | + | 295.834i | 0.0656145 | + | 0.372118i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1437.98i | 1.80424i | 0.431488 | + | 0.902119i | \(0.357989\pi\) | ||||
−0.431488 | + | 0.902119i | \(0.642011\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −366.529 | −0.458735 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −140.799 | + | 24.8266i | −0.175779 | + | 0.0309945i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 393.446 | − | 330.140i | 0.489970 | − | 0.411134i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 117.665 | − | 203.803i | 0.146168 | − | 0.253171i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 51.6067 | − | 18.7833i | 0.0639488 | − | 0.0232754i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 230.478 | + | 399.199i | 0.284892 | + | 0.493448i | 0.972583 | − | 0.232556i | \(-0.0747089\pi\) |
−0.687691 | + | 0.726004i | \(0.741376\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 548.267 | + | 96.6743i | 0.676038 | + | 0.119204i | 0.501118 | − | 0.865379i | \(-0.332922\pi\) |
0.174920 | + | 0.984583i | \(0.444033\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 511.502 | − | 609.584i | 0.629154 | − | 0.749796i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1564.18 | − | 569.315i | −1.91924 | − | 0.698546i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −474.278 | + | 426.791i | −0.580511 | + | 0.522388i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 7.98446 | − | 21.9371i | 0.00974904 | − | 0.0267853i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 1049.23 | + | 880.405i | 1.27799 | + | 1.07236i | 0.993518 | + | 0.113672i | \(0.0362612\pi\) |
0.284467 | + | 0.958686i | \(0.408183\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −58.8718 | + | 333.878i | −0.0715331 | + | 0.405685i | 0.927925 | + | 0.372767i | \(0.121591\pi\) |
−0.999458 | + | 0.0329174i | \(0.989520\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −577.469 | + | 333.402i | −0.699963 | + | 0.404124i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 239.825 | + | 658.914i | 0.289994 | + | 0.796752i | 0.996066 | + | 0.0886122i | \(0.0282432\pi\) |
−0.706072 | + | 0.708140i | \(0.749535\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 533.805 | + | 308.192i | 0.643914 | + | 0.371764i | 0.786121 | − | 0.618073i | \(-0.212086\pi\) |
−0.142207 | + | 0.989837i | \(0.545420\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 159.358 | + | 189.915i | 0.191767 | + | 0.228538i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −211.591 | − | 1199.99i | −0.254011 | − | 1.44057i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1675.45i | 2.00653i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −757.680 | −0.905233 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 298.301 | − | 52.5985i | 0.355543 | − | 0.0626918i | 0.00697601 | − | 0.999976i | \(-0.497779\pi\) |
0.348567 | + | 0.937284i | \(0.386668\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −727.571 | + | 610.504i | −0.865126 | + | 0.725927i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 187.350 | − | 324.499i | 0.222242 | − | 0.384934i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1224.16 | − | 445.557i | 1.44871 | − | 0.527287i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 41.6565 | + | 72.1511i | 0.0491812 | + | 0.0851843i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −1052.92 | − | 185.659i | −1.24019 | − | 0.218680i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −436.286 | + | 519.945i | −0.512674 | + | 0.610982i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −523.403 | − | 190.503i | −0.613602 | − | 0.223333i | 0.0164765 | − | 0.999864i | \(-0.494755\pi\) |
−0.630079 | + | 0.776531i | \(0.716977\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 370.586 | − | 696.481i | 0.433434 | − | 0.814597i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 411.030 | − | 1129.30i | 0.479615 | − | 1.31773i | −0.430205 | − | 0.902731i | \(-0.641559\pi\) |
0.909821 | − | 0.415002i | \(-0.136219\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −991.552 | − | 832.011i | −1.15431 | − | 0.968581i | −0.154498 | − | 0.987993i | \(-0.549376\pi\) |
−0.999812 | + | 0.0194123i | \(0.993820\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −21.2264 | + | 120.381i | −0.0246532 | + | 0.139816i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 40.8465 | − | 23.5827i | 0.0473308 | − | 0.0273265i | −0.476148 | − | 0.879365i | \(-0.657967\pi\) |
0.523479 | + | 0.852039i | \(0.324634\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 207.830 | + | 571.007i | 0.240265 | + | 0.660124i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −665.066 | − | 383.976i | −0.767089 | − | 0.442879i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 690.286 | + | 822.651i | 0.794346 | + | 0.946664i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −51.1265 | − | 289.953i | −0.0586987 | − | 0.332897i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 421.208i | 0.482484i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −204.038 | −0.233187 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1675.13 | + | 295.370i | −1.91006 | + | 0.336796i | −0.997409 | − | 0.0719344i | \(-0.977083\pi\) |
−0.912655 | + | 0.408730i | \(0.865972\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −345.678 | + | 290.058i | −0.393263 | + | 0.329986i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −164.580 | + | 285.060i | −0.186810 | + | 0.323565i | −0.944185 | − | 0.329416i | \(-0.893148\pi\) |
0.757375 | + | 0.652980i | \(0.226482\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −705.777 | + | 256.882i | −0.799294 | + | 0.290919i | −0.709194 | − | 0.705014i | \(-0.750941\pi\) |
−0.0901001 | + | 0.995933i | \(0.528719\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 914.856 | + | 1584.58i | 1.03374 | + | 1.79048i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 972.986 | + | 171.564i | 1.09694 | + | 0.193420i | 0.692695 | − | 0.721231i | \(-0.256423\pi\) |
0.404245 | + | 0.914651i | \(0.367534\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −63.7960 | + | 76.0291i | −0.0717615 | + | 0.0855220i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −72.3154 | − | 26.3207i | −0.0811621 | − | 0.0295406i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 248.274 | − | 100.225i | 0.278023 | − | 0.112234i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −637.133 | + | 1750.51i | −0.711880 | + | 1.95587i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −93.2748 | − | 78.2669i | −0.103985 | − | 0.0872540i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 199.648 | − | 1132.26i | 0.222078 | − | 1.25947i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 417.212 | − | 240.877i | 0.463054 | − | 0.267345i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 33.3968 | + | 91.7569i | 0.0369843 | + | 0.101613i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −2346.05 | − | 1354.49i | −2.59232 | − | 1.49668i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −352.939 | − | 420.617i | −0.389128 | − | 0.463745i | 0.535545 | − | 0.844507i | \(-0.320106\pi\) |
−0.924673 | + | 0.380762i | \(0.875662\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 72.6338 | + | 411.927i | 0.0799052 | + | 0.453165i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 1165.31i | − | 1.27916i | −0.768725 | − | 0.639580i | \(-0.779108\pi\) | ||
0.768725 | − | 0.639580i | \(-0.220892\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1040.46 | 1.13961 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 109.653 | − | 19.3348i | 0.119840 | − | 0.0211310i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 81.4573 | − | 68.3508i | 0.0888303 | − | 0.0745374i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 796.263 | − | 1379.17i | 0.866445 | − | 1.50073i | 0.000840474 | − | 1.00000i | \(-0.499732\pi\) |
0.865605 | − | 0.500728i | \(-0.166934\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 597.413 | − | 217.440i | 0.648657 | − | 0.236092i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 98.7131 | + | 170.976i | 0.106948 | + | 0.185240i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1432.38 | + | 252.567i | 1.54852 | + | 0.273045i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 326.897 | − | 389.580i | 0.352639 | − | 0.420259i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −563.414 | − | 205.066i | −0.606473 | − | 0.220738i | 0.0204862 | − | 0.999790i | \(-0.493479\pi\) |
−0.626959 | + | 0.779052i | \(0.715701\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 471.455 | + | 754.976i | 0.506396 | + | 0.810930i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −117.925 | + | 323.997i | −0.126394 | + | 0.347264i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1306.92 | + | 1096.64i | 1.39778 | + | 1.17288i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 87.3902 | − | 495.614i | 0.0932659 | − | 0.528937i | −0.901999 | − | 0.431738i | \(-0.857900\pi\) |
0.995265 | − | 0.0971993i | \(-0.0309884\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −19.1184 | + | 11.0380i | −0.0203604 | + | 0.0117551i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 533.231 | + | 1465.04i | 0.566664 | + | 1.55690i | 0.809678 | + | 0.586874i | \(0.199642\pi\) |
−0.243014 | + | 0.970023i | \(0.578136\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −713.359 | − | 411.858i | −0.756478 | − | 0.436753i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −215.291 | − | 256.573i | −0.227821 | − | 0.271506i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −77.7244 | − | 440.797i | −0.0820743 | − | 0.465467i | −0.997950 | − | 0.0640039i | \(-0.979613\pi\) |
0.915875 | − | 0.401463i | \(-0.131498\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 200.976i | − | 0.211777i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 335.180 | 0.352450 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −571.126 | + | 100.705i | −0.599293 | + | 0.105672i | −0.465061 | − | 0.885278i | \(-0.653968\pi\) |
−0.134232 | + | 0.990950i | \(0.542857\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1090.84 | + | 915.320i | −1.14224 | + | 0.958450i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 336.012 | − | 581.990i | 0.351110 | − | 0.608140i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 222.578 | − | 81.0116i | 0.232093 | − | 0.0844751i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −111.420 | − | 192.985i | −0.115942 | − | 0.200817i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 627.519 | + | 110.648i | 0.651629 | + | 0.114900i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 821.881 | − | 979.479i | 0.851690 | − | 1.01500i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1304.48 | − | 474.792i | −1.34900 | − | 0.490995i | −0.436363 | − | 0.899771i | \(-0.643734\pi\) |
−0.912635 | + | 0.408775i | \(0.865956\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 969.733 | + | 136.576i | 1.00076 | + | 0.140945i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 330.178 | − | 907.156i | 0.340039 | − | 0.934249i | −0.645344 | − | 0.763892i | \(-0.723286\pi\) |
0.985382 | − | 0.170357i | \(-0.0544920\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −214.825 | − | 180.260i | −0.220786 | − | 0.185262i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −45.3088 | + | 256.959i | −0.0464706 | + | 0.263548i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 711.436 | − | 410.748i | 0.728185 | − | 0.420418i | −0.0895730 | − | 0.995980i | \(-0.528550\pi\) |
0.817758 | + | 0.575563i | \(0.195217\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 77.2432 | + | 212.224i | 0.0789001 | + | 0.216776i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −706.261 | − | 407.760i | −0.719940 | − | 0.415658i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 19.1380 | + | 22.8077i | 0.0194689 | + | 0.0232022i | 0.775691 | − | 0.631113i | \(-0.217402\pi\) |
−0.756222 | + | 0.654315i | \(0.772957\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 26.4258 | + | 149.868i | 0.0268282 | + | 0.152150i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | − | 40.9754i | − | 0.0415151i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −657.996 | −0.665315 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 880.518 | − | 155.259i | 0.888514 | − | 0.156669i | 0.289282 | − | 0.957244i | \(-0.406584\pi\) |
0.599233 | + | 0.800575i | \(0.295472\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −138.700 | + | 116.383i | −0.139677 | + | 0.117203i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −140.254 | + | 242.926i | −0.140958 | + | 0.244147i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 45.1018 | − | 16.4157i | 0.0452375 | − | 0.0164651i | −0.319302 | − | 0.947653i | \(-0.603449\pi\) |
0.364540 | + | 0.931188i | \(0.381226\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 483.006 | + | 836.591i | 0.483489 | + | 0.837428i |
(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 | 76.3.j.a.53.2 | yes | 18 | |
4.3 | odd | 2 | 304.3.z.b.129.2 | 18 | |||
19.9 | even | 9 | 1444.3.c.c.721.12 | 18 | |||
19.10 | odd | 18 | 1444.3.c.c.721.7 | 18 | |||
19.14 | odd | 18 | inner | 76.3.j.a.33.2 | ✓ | 18 | |
76.71 | even | 18 | 304.3.z.b.33.2 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.3.j.a.33.2 | ✓ | 18 | 19.14 | odd | 18 | inner | |
76.3.j.a.53.2 | yes | 18 | 1.1 | even | 1 | trivial | |
304.3.z.b.33.2 | 18 | 76.71 | even | 18 | |||
304.3.z.b.129.2 | 18 | 4.3 | odd | 2 | |||
1444.3.c.c.721.7 | 18 | 19.10 | odd | 18 | |||
1444.3.c.c.721.12 | 18 | 19.9 | even | 9 |