Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(65,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.65");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bn (of order \(6\), degree \(2\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{19}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.65 |
Dual form | 912.2.bn.g.449.2 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | −1.00000 | − | 1.41421i | −0.577350 | − | 0.816497i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.22474 | + | 0.707107i | 0.547723 | + | 0.316228i | 0.748203 | − | 0.663470i | \(-0.230917\pi\) |
−0.200480 | + | 0.979698i | \(0.564250\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.449490 | 0.169891 | 0.0849456 | − | 0.996386i | \(-0.472928\pi\) | ||||
0.0849456 | + | 0.996386i | \(0.472928\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.00000 | + | 2.82843i | −0.333333 | + | 0.942809i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.14626i | 0.948634i | 0.880354 | + | 0.474317i | \(0.157305\pi\) | ||||
−0.880354 | + | 0.474317i | \(0.842695\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.00000 | + | 1.73205i | −0.832050 | + | 0.480384i | −0.854554 | − | 0.519362i | \(-0.826170\pi\) |
0.0225039 | + | 0.999747i | \(0.492836\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.224745 | − | 2.43916i | −0.0580289 | − | 0.629788i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.550510 | + | 0.317837i | 0.133518 | + | 0.0770869i | 0.565271 | − | 0.824905i | \(-0.308771\pi\) |
−0.431753 | + | 0.901992i | \(0.642105\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.17423 | + | 2.98735i | −0.728219 | + | 0.685344i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.449490 | − | 0.635674i | −0.0980867 | − | 0.138716i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −6.12372 | + | 3.53553i | −1.27688 | + | 0.737210i | −0.976274 | − | 0.216537i | \(-0.930524\pi\) |
−0.300610 | + | 0.953747i | \(0.597190\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.50000 | − | 2.59808i | −0.300000 | − | 0.519615i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.00000 | − | 1.41421i | 0.962250 | − | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.22474 | − | 2.12132i | −0.227429 | − | 0.393919i | 0.729616 | − | 0.683857i | \(-0.239699\pi\) |
−0.957046 | + | 0.289938i | \(0.906365\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.24264i | 0.762001i | 0.924575 | + | 0.381000i | \(0.124420\pi\) | ||||
−0.924575 | + | 0.381000i | \(0.875580\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.44949 | − | 3.14626i | 0.774557 | − | 0.547694i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.550510 | + | 0.317837i | 0.0930532 | + | 0.0537243i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.70674i | 1.26698i | 0.773751 | + | 0.633490i | \(0.218378\pi\) | ||||
−0.773751 | + | 0.633490i | \(0.781622\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.44949 | + | 2.51059i | 0.872617 | + | 0.402016i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.50000 | − | 2.59808i | 0.234261 | − | 0.405751i | −0.724797 | − | 0.688963i | \(-0.758066\pi\) |
0.959058 | + | 0.283211i | \(0.0913998\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.44949 | + | 7.70674i | −0.678541 | + | 1.17527i | 0.296880 | + | 0.954915i | \(0.404054\pi\) |
−0.975420 | + | 0.220352i | \(0.929279\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.22474 | + | 2.75699i | −0.480717 | + | 0.410989i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 11.5732 | − | 6.68180i | 1.68813 | − | 0.974640i | 0.732175 | − | 0.681117i | \(-0.238505\pi\) |
0.955952 | − | 0.293524i | \(-0.0948280\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.79796 | −0.971137 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.101021 | − | 1.09638i | −0.0141457 | − | 0.153523i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.44949 | + | 9.43879i | 0.748545 | + | 1.29652i | 0.948520 | + | 0.316717i | \(0.102581\pi\) |
−0.199975 | + | 0.979801i | \(0.564086\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.22474 | + | 3.85337i | −0.299985 | + | 0.519588i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.39898 | + | 1.50170i | 0.980019 | + | 0.198905i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.72474 | − | 9.91555i | 0.745298 | − | 1.29089i | −0.204757 | − | 0.978813i | \(-0.565640\pi\) |
0.950055 | − | 0.312082i | \(-0.101026\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.775255 | + | 1.34278i | 0.0992612 | + | 0.171926i | 0.911379 | − | 0.411568i | \(-0.135019\pi\) |
−0.812118 | + | 0.583493i | \(0.801685\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.449490 | + | 1.27135i | −0.0566304 | + | 0.160175i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −4.89898 | −0.607644 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.17423 | + | 1.25529i | −0.265625 | + | 0.153359i | −0.626898 | − | 0.779101i | \(-0.715676\pi\) |
0.361273 | + | 0.932460i | \(0.382342\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 11.1237 | + | 5.12472i | 1.33914 | + | 0.616944i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.00000 | − | 5.19615i | 0.356034 | − | 0.616670i | −0.631260 | − | 0.775571i | \(-0.717462\pi\) |
0.987294 | + | 0.158901i | \(0.0507952\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.39898 | + | 7.61926i | −0.514862 | + | 0.891766i | 0.484990 | + | 0.874520i | \(0.338823\pi\) |
−0.999851 | + | 0.0172466i | \(0.994510\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.17423 | + | 4.71940i | −0.251059 | + | 0.544949i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.41421i | 0.161165i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.34847 | + | 4.24264i | 0.826767 | + | 0.477334i | 0.852745 | − | 0.522328i | \(-0.174936\pi\) |
−0.0259772 | + | 0.999663i | \(0.508270\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.00000 | − | 5.65685i | −0.777778 | − | 0.628539i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 17.0027i | 1.86629i | 0.359506 | + | 0.933143i | \(0.382945\pi\) | ||||
−0.359506 | + | 0.933143i | \(0.617055\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.449490 | + | 0.778539i | 0.0487540 | + | 0.0844444i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.77526 | + | 3.85337i | −0.190327 | + | 0.413125i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.55051 | − | 6.14966i | −0.376353 | − | 0.651863i | 0.614175 | − | 0.789170i | \(-0.289489\pi\) |
−0.990529 | + | 0.137307i | \(0.956155\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.34847 | + | 0.778539i | −0.141358 | + | 0.0816131i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 6.00000 | − | 4.24264i | 0.622171 | − | 0.439941i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −6.00000 | + | 1.41421i | −0.615587 | + | 0.145095i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.84847 | + | 1.64456i | 0.289218 | + | 0.166980i | 0.637589 | − | 0.770377i | \(-0.279932\pi\) |
−0.348371 | + | 0.937357i | \(0.613265\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −8.89898 | − | 3.14626i | −0.894381 | − | 0.316211i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.57321 | + | 4.94975i | −0.853067 | + | 0.492518i | −0.861684 | − | 0.507445i | \(-0.830590\pi\) |
0.00861771 | + | 0.999963i | \(0.497257\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 5.02118i | − | 0.494752i | −0.968920 | − | 0.247376i | \(-0.920432\pi\) | ||
0.968920 | − | 0.247376i | \(-0.0795682\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.101021 | − | 1.09638i | −0.00985859 | − | 0.106995i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −4.89898 | −0.473602 | −0.236801 | − | 0.971558i | \(-0.576099\pi\) | ||||
−0.236801 | + | 0.971558i | \(0.576099\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 10.8990 | − | 7.70674i | 1.03449 | − | 0.731492i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 18.7980 | 1.76836 | 0.884182 | − | 0.467143i | \(-0.154717\pi\) | ||||
0.884182 | + | 0.467143i | \(0.154717\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.0000 | −0.932505 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.89898 | − | 10.2173i | −0.175561 | − | 0.944593i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.247449 | + | 0.142865i | 0.0226836 | + | 0.0130964i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.10102 | 0.100093 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.17423 | + | 0.476756i | −0.466545 | + | 0.0429876i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 11.3137i | − | 1.01193i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.00000 | − | 5.19615i | 0.798621 | − | 0.461084i | −0.0443678 | − | 0.999015i | \(-0.514127\pi\) |
0.842989 | + | 0.537931i | \(0.180794\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 15.3485 | − | 1.41421i | 1.35136 | − | 0.124515i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.92679 | + | 1.11243i | 0.168344 | + | 0.0971935i | 0.581805 | − | 0.813328i | \(-0.302347\pi\) |
−0.413461 | + | 0.910522i | \(0.635680\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.42679 | + | 1.34278i | −0.123718 | + | 0.116434i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.12372 | + | 1.80348i | 0.613113 | + | 0.155219i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.39898 | + | 1.96240i | −0.290394 | + | 0.167659i | −0.638120 | − | 0.769937i | \(-0.720288\pi\) |
0.347725 | + | 0.937596i | \(0.386954\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.17423 | − | 12.4261i | −0.608511 | − | 1.05397i | −0.991486 | − | 0.130213i | \(-0.958434\pi\) |
0.382975 | − | 0.923759i | \(-0.374899\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −21.0227 | − | 9.68520i | −1.77043 | − | 0.815641i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.44949 | − | 9.43879i | −0.455709 | − | 0.789312i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 3.46410i | − | 0.287678i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 6.79796 | + | 9.61377i | 0.560686 | + | 0.792930i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.77526 | − | 1.02494i | −0.145435 | − | 0.0839667i | 0.425517 | − | 0.904950i | \(-0.360092\pi\) |
−0.570952 | + | 0.820984i | \(0.693426\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 9.61377i | − | 0.782357i | −0.920315 | − | 0.391179i | \(-0.872067\pi\) | ||
0.920315 | − | 0.391179i | \(-0.127933\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.44949 | + | 1.23924i | −0.117184 | + | 0.100187i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.00000 | + | 5.19615i | −0.240966 | + | 0.417365i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.34847 | + | 9.26382i | −0.426854 | + | 0.739333i | −0.996592 | − | 0.0824935i | \(-0.973712\pi\) |
0.569737 | + | 0.821827i | \(0.307045\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 7.89898 | − | 17.1455i | 0.626430 | − | 1.35973i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.75255 | + | 1.58919i | −0.216931 | + | 0.125245i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −18.3485 | −1.43716 | −0.718582 | − | 0.695443i | \(-0.755208\pi\) | ||||
−0.718582 | + | 0.695443i | \(0.755208\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 7.67423 | − | 0.707107i | 0.597438 | − | 0.0550482i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.44949 | − | 4.24264i | −0.189547 | − | 0.328305i | 0.755552 | − | 0.655089i | \(-0.227369\pi\) |
−0.945099 | + | 0.326783i | \(0.894035\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.27526 | − | 11.9654i | −0.403409 | − | 0.915020i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.550510 | + | 0.953512i | −0.0418545 | + | 0.0724942i | −0.886194 | − | 0.463315i | \(-0.846660\pi\) |
0.844339 | + | 0.535809i | \(0.179993\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.674235 | − | 1.16781i | −0.0509673 | − | 0.0882780i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −19.7474 | + | 1.81954i | −1.48431 | + | 0.136765i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −7.65153 | −0.571902 | −0.285951 | − | 0.958244i | \(-0.592310\pi\) | ||||
−0.285951 | + | 0.958244i | \(0.592310\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.6742 | − | 10.7816i | 1.38804 | − | 0.801388i | 0.394950 | − | 0.918703i | \(-0.370762\pi\) |
0.993095 | + | 0.117314i | \(0.0374285\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.12372 | − | 2.43916i | 0.0830681 | − | 0.180308i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.44949 | + | 9.43879i | −0.400654 | + | 0.693954i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.00000 | + | 1.73205i | −0.0731272 | + | 0.126660i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.24745 | − | 0.635674i | 0.163478 | − | 0.0462385i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 8.19955i | − | 0.593299i | −0.954986 | − | 0.296649i | \(-0.904131\pi\) | ||
0.954986 | − | 0.296649i | \(-0.0958693\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.3485 | − | 12.9029i | −1.60868 | − | 0.928771i | −0.989666 | − | 0.143389i | \(-0.954200\pi\) |
−0.619012 | − | 0.785382i | \(-0.712467\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 4.89898 | + | 6.92820i | 0.350823 | + | 0.496139i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 20.2918i | − | 1.44573i | −0.690989 | − | 0.722865i | \(-0.742825\pi\) | ||
0.690989 | − | 0.722865i | \(-0.257175\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.44949 | − | 2.51059i | −0.102752 | − | 0.177971i | 0.810066 | − | 0.586339i | \(-0.199431\pi\) |
−0.912817 | + | 0.408368i | \(0.866098\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.94949 | + | 1.81954i | 0.278576 | + | 0.128340i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.550510 | − | 0.953512i | −0.0386382 | − | 0.0669234i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.67423 | − | 2.12132i | 0.256620 | − | 0.148159i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −3.87628 | − | 20.8560i | −0.269420 | − | 1.44960i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −9.39898 | − | 9.98698i | −0.650141 | − | 0.690814i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.34847 | + | 0.778539i | 0.0928325 | + | 0.0535968i | 0.545698 | − | 0.837982i | \(-0.316265\pi\) |
−0.452865 | + | 0.891579i | \(0.649598\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.3485 | + | 0.953512i | −0.709065 | + | 0.0653335i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −10.8990 | + | 6.29253i | −0.743304 | + | 0.429147i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.90702i | 0.129457i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 15.1742 | − | 1.39816i | 1.02538 | − | 0.0944789i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.20204 | −0.148125 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.6742 | + | 9.04952i | 1.04962 | + | 0.606001i | 0.922544 | − | 0.385892i | \(-0.126106\pi\) |
0.127080 | + | 0.991892i | \(0.459439\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.84847 | − | 1.64456i | 0.589898 | − | 0.109638i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.550510 | 0.0365386 | 0.0182693 | − | 0.999833i | \(-0.494184\pi\) | ||||
0.0182693 | + | 0.999833i | \(0.494184\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.898979 | 0.0594062 | 0.0297031 | − | 0.999559i | \(-0.490544\pi\) | ||||
0.0297031 | + | 0.999559i | \(0.490544\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.00000 | − | 1.41421i | 0.131590 | − | 0.0930484i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.3990 | + | 8.89060i | 1.00882 | + | 0.582443i | 0.910846 | − | 0.412746i | \(-0.135430\pi\) |
0.0979745 | + | 0.995189i | \(0.468764\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.8990 | 1.23283 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.34847 | − | 14.6349i | −0.0875925 | − | 0.950642i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 21.0703i | 1.36293i | 0.731852 | + | 0.681463i | \(0.238656\pi\) | ||||
−0.731852 | + | 0.681463i | \(0.761344\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.84847 | + | 3.37662i | −0.376733 | + | 0.217507i | −0.676396 | − | 0.736538i | \(-0.736459\pi\) |
0.299663 | + | 0.954045i | \(0.403126\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.00000 | + | 15.5563i | −0.0641500 | + | 0.997940i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −8.32577 | − | 4.80688i | −0.531914 | − | 0.307100i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.34847 | − | 14.4600i | 0.276686 | − | 0.920066i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 24.0454 | − | 17.0027i | 1.52382 | − | 1.07750i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.27526 | + | 1.89097i | −0.206732 | + | 0.119357i | −0.599792 | − | 0.800156i | \(-0.704750\pi\) |
0.393060 | + | 0.919513i | \(0.371417\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.1237 | − | 19.2669i | −0.699343 | − | 1.21130i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.651531 | − | 1.41421i | 0.0408004 | − | 0.0885615i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.50000 | + | 12.9904i | 0.467837 | + | 0.810318i | 0.999325 | − | 0.0367485i | \(-0.0117000\pi\) |
−0.531487 | + | 0.847066i | \(0.678367\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.46410i | 0.215249i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 7.22474 | − | 1.34278i | 0.447200 | − | 0.0831161i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 7.77526 | + | 4.48905i | 0.479443 | + | 0.276806i | 0.720184 | − | 0.693783i | \(-0.244057\pi\) |
−0.240741 | + | 0.970589i | \(0.577391\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 15.4135i | 0.946843i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5.14643 | + | 11.1708i | −0.314956 | + | 0.683645i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −12.2474 | + | 21.2132i | −0.746740 | + | 1.29339i | 0.202637 | + | 0.979254i | \(0.435049\pi\) |
−0.949377 | + | 0.314138i | \(0.898285\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.0227 | + | 17.3598i | −0.608836 | + | 1.05453i | 0.382597 | + | 0.923915i | \(0.375030\pi\) |
−0.991433 | + | 0.130619i | \(0.958303\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.44949 | + | 1.12848i | 0.148250 | + | 0.0682990i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 8.17423 | − | 4.71940i | 0.492925 | − | 0.284590i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 20.2474 | 1.21655 | 0.608276 | − | 0.793726i | \(-0.291862\pi\) | ||||
0.608276 | + | 0.793726i | \(0.291862\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −12.0000 | − | 4.24264i | −0.718421 | − | 0.254000i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.2980 | − | 19.5686i | −0.673980 | − | 1.16737i | −0.976766 | − | 0.214309i | \(-0.931250\pi\) |
0.302786 | − | 0.953058i | \(-0.402083\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.72474 | + | 8.18350i | −0.280857 | + | 0.486458i | −0.971596 | − | 0.236646i | \(-0.923952\pi\) |
0.690739 | + | 0.723104i | \(0.257285\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.00000 | + | 7.07107i | 0.473879 | + | 0.418854i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.674235 | − | 1.16781i | 0.0397988 | − | 0.0689336i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.29796 | − | 14.3725i | −0.488115 | − | 0.845440i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.522704 | − | 5.67291i | −0.0306414 | − | 0.332552i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 19.3485 | 1.13035 | 0.565175 | − | 0.824971i | \(-0.308809\pi\) | ||||
0.565175 | + | 0.824971i | \(0.308809\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 14.0227 | − | 8.09601i | 0.816433 | − | 0.471368i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.44949 | + | 15.7313i | 0.258186 | + | 0.912824i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 12.2474 | − | 21.2132i | 0.708288 | − | 1.22679i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.00000 | + | 3.46410i | −0.115278 | + | 0.199667i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 15.5732 | + | 7.17461i | 0.894658 | + | 0.412170i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 2.19275i | 0.125557i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.5227 | − | 10.6941i | −1.05715 | − | 0.610344i | −0.132505 | − | 0.991182i | \(-0.542302\pi\) |
−0.924642 | + | 0.380838i | \(0.875635\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.10102 | + | 5.02118i | −0.403963 | + | 0.285645i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 15.5563i | − | 0.882120i | −0.897478 | − | 0.441060i | \(-0.854603\pi\) | ||
0.897478 | − | 0.441060i | \(-0.145397\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.50000 | + | 16.4545i | 0.536972 | + | 0.930062i | 0.999065 | + | 0.0432311i | \(0.0137652\pi\) |
−0.462093 | + | 0.886831i | \(0.652902\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.44949 | + | 1.23924i | −0.0816695 | + | 0.0698233i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.00000 | + | 5.19615i | 0.168497 | + | 0.291845i | 0.937892 | − | 0.346929i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.67423 | − | 3.85337i | 0.373685 | − | 0.215747i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.89898 | + | 6.92820i | 0.273434 | + | 0.386695i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.69694 | + | 0.635674i | −0.150062 | + | 0.0353699i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.00000 | + | 5.19615i | 0.499230 | + | 0.288231i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.20204 | − | 3.00340i | 0.286798 | − | 0.165583i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.2952i | 1.28042i | 0.768200 | + | 0.640210i | \(0.221153\pi\) | ||||
−0.768200 | + | 0.640210i | \(0.778847\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −21.7980 | − | 7.70674i | −1.19452 | − | 0.422327i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.55051 | −0.193985 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.8485 | − | 10.3048i | −0.972268 | − | 0.561339i | −0.0723411 | − | 0.997380i | \(-0.523047\pi\) |
−0.899927 | + | 0.436041i | \(0.856380\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −18.7980 | − | 26.5843i | −1.02096 | − | 1.44386i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.3485 | −0.722860 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.20204 | −0.334879 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 10.0000 | + | 14.1421i | 0.538382 | + | 0.761387i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.27526 | + | 1.89097i | 0.175825 | + | 0.101513i | 0.585330 | − | 0.810795i | \(-0.300965\pi\) |
−0.409505 | + | 0.912308i | \(0.634298\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.4949 | 1.73941 | 0.869706 | − | 0.493570i | \(-0.164308\pi\) | ||||
0.869706 | + | 0.493570i | \(0.164308\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −12.5505 | + | 12.9029i | −0.669897 | + | 0.688706i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.9951i | 1.33036i | 0.746684 | + | 0.665179i | \(0.231645\pi\) | ||||
−0.746684 | + | 0.665179i | \(0.768355\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.34847 | − | 4.24264i | 0.390016 | − | 0.225176i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.0454077 | − | 0.492810i | −0.00240323 | − | 0.0260823i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 20.8207 | + | 12.0208i | 1.09887 | + | 0.634434i | 0.935925 | − | 0.352200i | \(-0.114566\pi\) |
0.162948 | + | 0.986635i | \(0.447900\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.15153 | − | 18.9651i | 0.0606069 | − | 0.998162i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.10102 | − | 1.55708i | −0.0577886 | − | 0.0817254i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −10.7753 | + | 6.22110i | −0.564003 | + | 0.325627i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.32577 | − | 7.49245i | −0.225803 | − | 0.391102i | 0.730757 | − | 0.682638i | \(-0.239167\pi\) |
−0.956560 | + | 0.291535i | \(0.905834\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.84847 | + | 6.84072i | 0.304459 | + | 0.356113i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.44949 | + | 4.24264i | 0.127171 | + | 0.220267i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 25.4558i | 1.31805i | 0.752119 | + | 0.659027i | \(0.229032\pi\) | ||||
−0.752119 | + | 0.659027i | \(0.770968\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.0000 | + | 11.3137i | −0.826236 | + | 0.584237i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 7.34847 | + | 4.24264i | 0.378465 | + | 0.218507i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.55708i | 0.0799817i | 0.999200 | + | 0.0399909i | \(0.0127329\pi\) | ||||
−0.999200 | + | 0.0399909i | \(0.987267\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −16.3485 | − | 7.53177i | −0.837557 | − | 0.385864i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 10.2247 | − | 17.7098i | 0.522460 | − | 0.904927i | −0.477198 | − | 0.878796i | \(-0.658348\pi\) |
0.999659 | − | 0.0261318i | \(-0.00831896\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.00000 | + | 1.73205i | −0.0509647 | + | 0.0882735i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −17.3485 | − | 20.2918i | −0.881872 | − | 1.03149i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.1010 | − | 7.56388i | 0.664248 | − | 0.383504i | −0.129646 | − | 0.991560i | \(-0.541384\pi\) |
0.793894 | + | 0.608057i | \(0.208051\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.49490 | −0.227317 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.353572 | − | 3.83732i | −0.0178353 | − | 0.193567i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 6.00000 | + | 10.3923i | 0.301893 | + | 0.522894i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.67423 | − | 4.63191i | 0.134216 | − | 0.232469i | −0.791082 | − | 0.611711i | \(-0.790482\pi\) |
0.925298 | + | 0.379242i | \(0.123815\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.32577 | + | 0.674999i | 0.166497 | + | 0.0337922i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.39898 | − | 5.88721i | 0.169737 | − | 0.293993i | −0.768590 | − | 0.639741i | \(-0.779042\pi\) |
0.938327 | + | 0.345748i | \(0.112375\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.34847 | − | 12.7279i | −0.366053 | − | 0.634023i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −4.57321 | − | 11.8780i | −0.227245 | − | 0.590220i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.2474 | −1.20190 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.15153 | − | 1.81954i | 0.155833 | − | 0.0899703i | −0.420056 | − | 0.907498i | \(-0.637989\pi\) |
0.575889 | + | 0.817528i | \(0.304656\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.17423 | + | 2.84448i | 0.304553 | + | 0.140308i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.57321 | − | 4.45694i | 0.126620 | − | 0.219312i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −12.0227 | + | 20.8239i | −0.590171 | + | 1.02221i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.3990 | + | 22.5720i | −0.509240 | + | 1.10536i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 24.5344i | 1.19859i | 0.800530 | + | 0.599293i | \(0.204552\pi\) | ||||
−0.800530 | + | 0.599293i | \(0.795448\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.97730 | − | 2.29629i | −0.193842 | − | 0.111914i | 0.399938 | − | 0.916542i | \(-0.369032\pi\) |
−0.593780 | + | 0.804628i | \(0.702365\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 7.32577 | + | 39.4158i | 0.356191 | + | 1.91646i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | − | 1.90702i | − | 0.0925042i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.348469 | + | 0.603566i | 0.0168636 | + | 0.0292086i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −7.89898 | + | 17.1455i | −0.381366 | + | 0.827794i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.65153 | + | 2.86054i | 0.0795514 | + | 0.137787i | 0.903056 | − | 0.429522i | \(-0.141318\pi\) |
−0.823505 | + | 0.567309i | \(0.807985\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −17.6969 | + | 10.2173i | −0.850461 | + | 0.491014i | −0.860806 | − | 0.508933i | \(-0.830040\pi\) |
0.0103456 | + | 0.999946i | \(0.496707\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.89898 | + | 3.46410i | −0.234888 | + | 0.166091i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.87628 | − | 29.5163i | 0.424610 | − | 1.41196i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.67423 | + | 5.58542i | 0.461726 | + | 0.266578i | 0.712770 | − | 0.701398i | \(-0.247440\pi\) |
−0.251044 | + | 0.967976i | \(0.580774\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.79796 | − | 19.2275i | 0.323712 | − | 0.915597i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −16.3207 | + | 9.42274i | −0.775418 | + | 0.447688i | −0.834804 | − | 0.550547i | \(-0.814419\pi\) |
0.0593859 | + | 0.998235i | \(0.481086\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | − | 10.0424i | − | 0.476053i | ||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.325765 | + | 3.53553i | 0.0154082 | + | 0.167225i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −30.7980 | −1.45345 | −0.726723 | − | 0.686931i | \(-0.758958\pi\) | ||||
−0.726723 | + | 0.686931i | \(0.758958\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.17423 | + | 4.71940i | 0.384910 | + | 0.222228i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −13.5959 | + | 9.61377i | −0.638792 | + | 0.451694i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.20204 | −0.103233 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0000 | −0.608114 | −0.304057 | − | 0.952654i | \(-0.598341\pi\) | ||||
−0.304057 | + | 0.952654i | \(0.598341\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.20204 | + | 0.810647i | 0.149458 | + | 0.0378378i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 33.2474 | + | 19.1954i | 1.54849 | + | 0.894020i | 0.998258 | + | 0.0590072i | \(0.0187935\pi\) |
0.550231 | + | 0.835013i | \(0.314540\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.7980 | 0.920089 | 0.460045 | − | 0.887896i | \(-0.347833\pi\) | ||||
0.460045 | + | 0.887896i | \(0.347833\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 10.3485 | − | 0.953512i | 0.479899 | − | 0.0442180i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 12.6172i | − | 0.583853i | −0.956441 | − | 0.291926i | \(-0.905704\pi\) | ||
0.956441 | − | 0.291926i | \(-0.0942962\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.977296 | + | 0.564242i | −0.0451273 | + | 0.0260543i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 18.4495 | − | 1.69994i | 0.850108 | − | 0.0783292i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −24.2474 | − | 13.9993i | −1.11490 | − | 0.643687i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.5227 | + | 3.76588i | 0.574581 | + | 0.172791i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −32.1464 | + | 5.97469i | −1.47188 | + | 0.273562i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.853572 | − | 0.492810i | 0.0390007 | − | 0.0225171i | −0.480373 | − | 0.877064i | \(-0.659499\pi\) |
0.519374 | + | 0.854547i | \(0.326165\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.3485 | − | 23.1202i | −0.608638 | − | 1.05419i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 5.00000 | + | 2.30351i | 0.227508 | + | 0.104813i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.32577 | + | 4.02834i | 0.105608 | + | 0.182918i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 25.0273i | 1.13409i | 0.823686 | + | 0.567046i | \(0.191914\pi\) | ||||
−0.823686 | + | 0.567046i | \(0.808086\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 18.3485 | + | 25.9487i | 0.829746 | + | 1.17344i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.8990 | − | 8.02458i | −0.627252 | − | 0.362144i | 0.152435 | − | 0.988314i | \(-0.451289\pi\) |
−0.779687 | + | 0.626169i | \(0.784622\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 1.55708i | − | 0.0701273i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.67423 | − | 10.1459i | −0.389878 | − | 0.456024i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1.34847 | − | 2.33562i | 0.0604871 | − | 0.104767i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.72474 | − | 6.45145i | 0.166742 | − | 0.288806i | −0.770530 | − | 0.637403i | \(-0.780008\pi\) |
0.937273 | + | 0.348597i | \(0.113342\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.55051 | + | 7.70674i | −0.158625 | + | 0.344312i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −13.4722 | + | 7.77817i | −0.600695 | + | 0.346812i | −0.769315 | − | 0.638870i | \(-0.779402\pi\) |
0.168620 | + | 0.985681i | \(0.446069\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.0000 | −0.622992 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.72474 | − | 0.158919i | 0.0765986 | − | 0.00705782i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −8.69694 | − | 15.0635i | −0.385485 | − | 0.667680i | 0.606351 | − | 0.795197i | \(-0.292633\pi\) |
−0.991836 | + | 0.127517i | \(0.959299\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.97730 | + | 3.42478i | −0.0874704 | + | 0.151503i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −11.6464 | + | 19.4258i | −0.514202 | + | 0.857669i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 3.55051 | − | 6.14966i | 0.156454 | − | 0.270987i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.0227 | + | 36.4124i | 0.924577 | + | 1.60142i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.89898 | − | 0.174973i | 0.0833559 | − | 0.00768045i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 25.8990 | 1.13465 | 0.567327 | − | 0.823492i | \(-0.307977\pi\) | ||||
0.567327 | + | 0.823492i | \(0.307977\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.69694 | − | 3.28913i | 0.249110 | − | 0.143824i | −0.370247 | − | 0.928933i | \(-0.620727\pi\) |
0.619357 | + | 0.785110i | \(0.287394\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.977296 | + | 2.12132i | −0.0426527 | + | 0.0925820i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.34847 | + | 2.33562i | −0.0587402 | + | 0.101741i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.5000 | − | 23.3827i | 0.586957 | − | 1.01664i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 22.3207 | + | 26.1076i | 0.968634 | + | 1.13297i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 10.3923i | 0.450141i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.00000 | − | 3.46410i | −0.259403 | − | 0.149766i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 7.65153 | + | 10.8209i | 0.330188 | + | 0.466956i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 21.3882i | − | 0.921254i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.34847 | − | 9.26382i | −0.229949 | − | 0.398283i | 0.727844 | − | 0.685743i | \(-0.240522\pi\) |
−0.957793 | + | 0.287460i | \(0.907189\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −33.9217 | − | 15.6278i | −1.45572 | − | 0.670652i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.3939 | − | 18.7026i | 1.38506 | − | 0.799666i | 0.392309 | − | 0.919834i | \(-0.371677\pi\) |
0.992754 | + | 0.120168i | \(0.0383432\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.57321 | + | 0.849971i | −0.195180 | + | 0.0362759i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 10.2247 | + | 3.07483i | 0.435589 | + | 0.130992i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.30306 | + | 1.90702i | 0.140460 | + | 0.0810949i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 18.7980 | − | 1.73205i | 0.797929 | − | 0.0735215i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −0.247449 | + | 0.142865i | −0.0104847 | + | 0.00605337i | −0.505233 | − | 0.862983i | \(-0.668594\pi\) |
0.494748 | + | 0.869036i | \(0.335260\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 30.8270i | − | 1.30384i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.44949 | − | 0.317837i | 0.145638 | − | 0.0134191i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 40.8434 | 1.72134 | 0.860671 | − | 0.509161i | \(-0.170044\pi\) | ||||
0.860671 | + | 0.509161i | \(0.170044\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.0227 | + | 13.2922i | 0.968572 | + | 0.559206i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.14643 | − | 2.54270i | −0.132138 | − | 0.106783i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 34.2929 | 1.43763 | 0.718816 | − | 0.695201i | \(-0.244685\pi\) | ||||
0.718816 | + | 0.695201i | \(0.244685\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −33.0454 | −1.38291 | −0.691454 | − | 0.722421i | \(-0.743029\pi\) | ||||
−0.691454 | + | 0.722421i | \(0.743029\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −11.5959 | + | 8.19955i | −0.484426 | + | 0.342541i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 18.3712 | + | 10.6066i | 0.766131 | + | 0.442326i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.5959 | 0.774158 | 0.387079 | − | 0.922047i | \(-0.373484\pi\) | ||||
0.387079 | + | 0.922047i | \(0.373484\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.10102 | + | 44.5084i | 0.170433 | + | 1.84971i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.64253i | 0.317065i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −29.6969 | + | 17.1455i | −1.22992 | + | 0.710096i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 4.89898 | − | 13.8564i | 0.202548 | − | 0.572892i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −13.8990 | − | 8.02458i | −0.573672 | − | 0.331210i | 0.184942 | − | 0.982749i | \(-0.440790\pi\) |
−0.758615 | + | 0.651540i | \(0.774123\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.6742 | − | 13.4671i | −0.522233 | − | 0.554904i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −28.6969 | + | 20.2918i | −1.18043 | + | 0.834693i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −15.0959 | + | 8.71563i | −0.619915 | + | 0.357908i | −0.776836 | − | 0.629703i | \(-0.783177\pi\) |
0.156921 | + | 0.987611i | \(0.449843\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.202041 | + | 0.349945i | 0.00828287 | + | 0.0143464i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −2.10102 | + | 4.56048i | −0.0859890 | + | 0.186648i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.57321 | − | 4.45694i | −0.105139 | − | 0.182106i | 0.808656 | − | 0.588282i | \(-0.200195\pi\) |
−0.913795 | + | 0.406176i | \(0.866862\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.0314i | 0.572352i | 0.958177 | + | 0.286176i | \(0.0923842\pi\) | ||||
−0.958177 | + | 0.286176i | \(0.907616\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.37628 | − | 7.40496i | −0.0560463 | − | 0.301553i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.34847 | + | 0.778539i | 0.0548231 | + | 0.0316521i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.5208i | 0.467614i | 0.972283 | + | 0.233807i | \(0.0751185\pi\) | ||||
−0.972283 | + | 0.233807i | \(0.924882\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.797959 | + | 1.73205i | −0.0323349 | + | 0.0701862i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −23.1464 | + | 40.0908i | −0.936404 | + | 1.62190i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.8990 | + | 41.3942i | −0.965271 | + | 1.67190i | −0.256385 | + | 0.966575i | \(0.582531\pi\) |
−0.708886 | + | 0.705323i | \(0.750802\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.67423 | − | 3.07483i | −0.269131 | − | 0.123989i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.05051 | + | 4.64796i | −0.324101 | + | 0.187120i | −0.653219 | − | 0.757169i | \(-0.726582\pi\) |
0.329118 | + | 0.944289i | \(0.393249\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.6969 | 1.23381 | 0.616907 | − | 0.787036i | \(-0.288385\pi\) | ||||
0.616907 | + | 0.787036i | \(0.288385\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −25.6186 | + | 26.3379i | −1.02804 | + | 1.05690i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.59592 | − | 2.76421i | −0.0639391 | − | 0.110746i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.500000 | − | 0.866025i | 0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −4.72474 | + | 23.2791i | −0.188688 | + | 0.929680i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −2.44949 | + | 4.24264i | −0.0976676 | + | 0.169165i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.1237 | − | 29.6592i | −0.681685 | − | 1.18071i | −0.974466 | − | 0.224533i | \(-0.927914\pi\) |
0.292782 | − | 0.956179i | \(-0.405419\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.247449 | − | 2.68556i | −0.00983520 | − | 0.106742i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 14.6969 | 0.583230 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 20.3939 | − | 11.7744i | 0.808035 | − | 0.466519i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.6969 | + | 13.6814i | 0.462724 | + | 0.541229i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.1969 | − | 22.8578i | 0.521248 | − | 0.902828i | −0.478447 | − | 0.878116i | \(-0.658800\pi\) |
0.999695 | − | 0.0247111i | \(-0.00786658\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.07321 | − | 8.78706i | 0.200068 | − | 0.346528i | −0.748482 | − | 0.663155i | \(-0.769217\pi\) |
0.948550 | + | 0.316627i | \(0.102550\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 19.7980 | + | 9.12096i | 0.779544 | + | 0.359137i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 14.7778i | − | 0.580976i | −0.956879 | − | 0.290488i | \(-0.906182\pi\) | ||
0.956879 | − | 0.290488i | \(-0.0938176\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 31.1969 | + | 18.0116i | 1.22459 | + | 0.707016i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.69694 | − | 1.90702i | 0.105701 | − | 0.0747421i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.19955i | 0.320873i | 0.987046 | + | 0.160437i | \(0.0512902\pi\) | ||||
−0.987046 | + | 0.160437i | \(0.948710\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.57321 | + | 2.72489i | 0.0614706 | + | 0.106470i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −17.1515 | − | 20.0614i | −0.669145 | − | 0.782672i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −12.0000 | − | 20.7846i | −0.467454 | − | 0.809653i | 0.531855 | − | 0.846836i | \(-0.321495\pi\) |
−0.999309 | + | 0.0371821i | \(0.988162\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 25.7196 | − | 14.8492i | 1.00038 | − | 0.577569i | 0.0920180 | − | 0.995757i | \(-0.470668\pi\) |
0.908360 | + | 0.418189i | \(0.137335\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.20204 | + | 3.11416i | 0.0855202 | + | 0.120944i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.69694 | + | 0.635674i | −0.104583 | + | 0.0246504i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15.0000 | + | 8.66025i | 0.580802 | + | 0.335326i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.87628 | − | 31.2162i | −0.111203 | − | 1.20689i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.22474 | + | 2.43916i | −0.163094 | + | 0.0941626i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 3.46410i | − | 0.133531i | −0.997769 | − | 0.0667657i | \(-0.978732\pi\) | ||
0.997769 | − | 0.0667657i | \(-0.0212680\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.1742 | − | 10.8691i | −0.430096 | − | 0.418350i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 32.6969 | 1.25665 | 0.628323 | − | 0.777953i | \(-0.283742\pi\) | ||||
0.628323 | + | 0.777953i | \(0.283742\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.28036 | + | 0.739215i | 0.0491356 | + | 0.0283685i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.550510 | − | 0.778539i | −0.0210956 | − | 0.0298337i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 17.3939 | 0.665558 | 0.332779 | − | 0.943005i | \(-0.392014\pi\) | ||||
0.332779 | + | 0.943005i | \(0.392014\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.55051 | −0.212074 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.898979 | − | 1.27135i | −0.0342982 | − | 0.0485050i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −32.6969 | − | 18.8776i | −1.24565 | − | 0.719179i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 40.0000 | 1.52167 | 0.760836 | − | 0.648944i | \(-0.224789\pi\) | ||||
0.760836 | + | 0.648944i | \(0.224789\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.00000 | − | 1.41421i | −0.151947 | − | 0.0537215i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 20.2918i | − | 0.769712i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.65153 | − | 0.953512i | 0.0625562 | − | 0.0361168i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −2.82577 | − | 30.6681i | −0.106880 | − | 1.15997i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.57321 | + | 4.94975i | 0.323806 | + | 0.186949i | 0.653088 | − | 0.757282i | \(-0.273473\pi\) |
−0.329282 | + | 0.944232i | \(0.606807\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.0227 | − | 24.4630i | −0.868318 | − | 0.922640i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −18.8990 | − | 26.7272i | −0.711777 | − | 1.00660i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −3.85357 | + | 2.22486i | −0.144928 | + | 0.0836745i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.67423 | + | 15.0242i | 0.325768 | + | 0.564246i | 0.981667 | − | 0.190602i | \(-0.0610439\pi\) |
−0.655900 | + | 0.754848i | \(0.727711\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −19.3485 | + | 16.5420i | −0.725624 | + | 0.620372i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −15.0000 | − | 25.9808i | −0.561754 | − | 0.972987i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 15.4135i | − | 0.576432i | ||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 29.7980 | − | 21.0703i | 1.11283 | − | 0.786886i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 26.1464 | + | 15.0956i | 0.975097 | + | 0.562973i | 0.900786 | − | 0.434262i | \(-0.142991\pi\) |
0.0743109 | + | 0.997235i | \(0.476324\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 2.25697i | − | 0.0840539i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 10.6237 | + | 4.89437i | 0.395101 | + | 0.182024i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.67423 | + | 6.36396i | −0.136458 | + | 0.236352i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.00000 | − | 6.92820i | 0.148352 | − | 0.256953i | −0.782267 | − | 0.622944i | \(-0.785937\pi\) |
0.930618 | + | 0.365991i | \(0.119270\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | − | 14.1421i | 0.851852 | − | 0.523783i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.89898 | + | 2.82843i | −0.181195 | + | 0.104613i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −20.0454 | −0.740394 | −0.370197 | − | 0.928953i | \(-0.620710\pi\) | ||||
−0.370197 | + | 0.928953i | \(0.620710\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.52781 | + | 16.5813i | 0.0563540 | + | 0.611610i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.94949 | − | 6.84072i | −0.145481 | − | 0.251981i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.1742 | − | 21.0864i | 0.447836 | − | 0.775676i | −0.550408 | − | 0.834895i | \(-0.685528\pi\) |
0.998245 | + | 0.0592200i | \(0.0188613\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −24.7980 | + | 8.31031i | −0.910976 | + | 0.305287i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.32577 | + | 4.02834i | −0.0853241 | + | 0.147786i | −0.905529 | − | 0.424284i | \(-0.860526\pi\) |
0.820205 | + | 0.572069i | \(0.193859\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.44949 | − | 2.51059i | −0.0531052 | − | 0.0919809i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −48.0908 | − | 17.0027i | −1.75955 | − | 0.622095i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.20204 | −0.0804608 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.6969 | + | 10.2173i | −0.645770 | + | 0.372836i | −0.786834 | − | 0.617165i | \(-0.788281\pi\) |
0.141063 | + | 0.990001i | \(0.454948\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.94949 | + | 2.74094i | 0.216811 | + | 0.0998854i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 6.79796 | − | 11.7744i | 0.247403 | − | 0.428515i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 19.6969 | − | 34.1161i | 0.715897 | − | 1.23997i | −0.246715 | − | 0.969088i | \(-0.579351\pi\) |
0.962612 | − | 0.270883i | \(-0.0873155\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −16.1237 | + | 34.9982i | −0.585254 | + | 1.27035i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 31.5734i | 1.14453i | 0.820067 | + | 0.572267i | \(0.193936\pi\) | ||||
−0.820067 | + | 0.572267i | \(0.806064\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.65153 | + | 0.492810i | −0.0958663 | + | 0.0178176i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 39.6622i | 1.43212i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.79796 | − | 3.11416i | −0.0648361 | − | 0.112299i | 0.831785 | − | 0.555098i | \(-0.187319\pi\) |
−0.896621 | + | 0.442798i | \(0.853986\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.8712 | − | 23.5970i | 0.391516 | − | 0.849825i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 1.22474 | + | 2.12132i | 0.0440510 | + | 0.0762986i | 0.887210 | − | 0.461365i | \(-0.152640\pi\) |
−0.843159 | + | 0.537664i | \(0.819307\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.0227 | − | 6.36396i | 0.395947 | − | 0.228600i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 4.89898 | − | 3.46410i | 0.175750 | − | 0.124274i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 3.00000 | + | 12.7279i | 0.107486 | + | 0.456025i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.3485 | + | 9.43879i | 0.584994 | + | 0.337747i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −9.12372 | − | 8.87455i | −0.326055 | − | 0.317151i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13.1010 | + | 7.56388i | −0.467595 | + | 0.269966i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.53177i | 0.268479i | 0.990949 | + | 0.134239i | \(0.0428591\pi\) | ||||
−0.990949 | + | 0.134239i | \(0.957141\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −1.42679 | − | 15.4849i | −0.0507949 | − | 0.551278i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.44949 | 0.300429 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.65153 | − | 2.68556i | −0.165181 | − | 0.0953671i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 21.7980 | − | 15.4135i | 0.773094 | − | 0.546660i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −37.3485 | −1.32295 | −0.661475 | − | 0.749967i | \(-0.730069\pi\) | ||||
−0.661475 | + | 0.749967i | \(0.730069\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.49490 | 0.300528 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 20.9444 | − | 3.89270i | 0.740034 | − | 0.137542i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −23.9722 | − | 13.8404i | −0.845960 | − | 0.488415i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.49490 | −0.158424 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 42.2474 | − | 3.89270i | 1.48718 | − | 0.137029i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8.02458i | 0.282129i | 0.990000 | + | 0.141065i | \(0.0450525\pi\) | ||||
−0.990000 | + | 0.141065i | \(0.954947\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.00000 | + | 1.73205i | −0.105344 | + | 0.0608205i | −0.551746 | − | 0.834012i | \(-0.686038\pi\) |
0.446402 | + | 0.894832i | \(0.352705\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 34.5732 | − | 3.18559i | 1.21254 | − | 0.111723i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −22.4722 | − | 12.9743i | −0.787167 | − | 0.454471i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −8.89898 | − | 37.7552i | −0.311336 | − | 1.32089i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.853572 | − | 4.59259i | −0.0298262 | − | 0.160478i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 5.44949 | − | 3.14626i | 0.190189 | − | 0.109805i | −0.401882 | − | 0.915691i | \(-0.631644\pi\) |
0.592071 | + | 0.805886i | \(0.298311\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.3485 | − | 42.1728i | −0.848734 | − | 1.47005i | −0.882338 | − | 0.470616i | \(-0.844032\pi\) |
0.0336040 | − | 0.999435i | \(-0.489301\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −14.8485 | − | 6.84072i | −0.516957 | − | 0.238163i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −10.6237 | − | 18.4008i | −0.369423 | − | 0.639860i | 0.620052 | − | 0.784560i | \(-0.287111\pi\) |
−0.989475 | + | 0.144701i | \(0.953778\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 19.2275i | − | 0.667800i | −0.942609 | − | 0.333900i | \(-0.891635\pi\) | ||
0.942609 | − | 0.333900i | \(-0.108365\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.2474 | − | 28.6342i | −0.702376 | − | 0.993310i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −3.74235 | − | 2.16064i | −0.129665 | − | 0.0748619i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 6.92820i | − | 0.239760i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.00000 | + | 21.2132i | 0.207390 | + | 0.733236i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.67423 | − | 11.5601i | 0.230420 | − | 0.399099i | −0.727512 | − | 0.686095i | \(-0.759323\pi\) |
0.957932 | + | 0.286996i | \(0.0926566\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.5000 | − | 19.9186i | 0.396552 | − | 0.686848i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −16.3763 | + | 35.5464i | −0.564029 | + | 1.22428i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.22474 | + | 0.707107i | −0.0421325 | + | 0.0243252i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.494897 | 0.0170049 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 16.2980 | − | 1.50170i | 0.559345 | − | 0.0515382i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −27.2474 | − | 47.1940i | −0.934031 | − | 1.61779i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.00000 | − | 8.66025i | 0.171197 | − | 0.296521i | −0.767642 | − | 0.640879i | \(-0.778570\pi\) |
0.938839 | + | 0.344358i | \(0.111903\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.00000 | − | 18.3848i | 0.0683986 | − | 0.628746i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.29796 | + | 14.3725i | −0.283453 | + | 0.490955i | −0.972233 | − | 0.234016i | \(-0.924813\pi\) |
0.688780 | + | 0.724970i | \(0.258147\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.42168 | + | 16.3188i | 0.321464 | + | 0.556791i | 0.980790 | − | 0.195065i | \(-0.0624919\pi\) |
−0.659327 | + | 0.751857i | \(0.729159\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.32577 | + | 0.214297i | −0.0792619 | + | 0.00730322i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 16.6515 | 0.566825 | 0.283412 | − | 0.958998i | \(-0.408533\pi\) | ||||
0.283412 | + | 0.958998i | \(0.408533\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.34847 | + | 0.778539i | −0.0458493 | + | 0.0264711i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −12.0278 | + | 26.1076i | −0.408486 | + | 0.886660i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −13.3485 | + | 23.1202i | −0.452816 | + | 0.784300i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.34847 | − | 7.53177i | 0.147342 | − | 0.255204i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −7.50000 | + | 6.41212i | −0.253837 | + | 0.217017i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 5.08540i | − | 0.171918i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −36.3712 | − | 20.9989i | −1.22817 | − | 0.709083i | −0.261521 | − | 0.965198i | \(-0.584224\pi\) |
−0.966646 | + | 0.256115i | \(0.917557\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −19.3485 | − | 27.3629i | −0.652608 | − | 0.922927i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 10.2815i | 0.346394i | 0.984887 | + | 0.173197i | \(0.0554098\pi\) | ||||
−0.984887 | + | 0.173197i | \(0.944590\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.4217 | − | 18.0509i | −0.350718 | − | 0.607461i | 0.635658 | − | 0.771971i | \(-0.280729\pi\) |
−0.986375 | + | 0.164510i | \(0.947396\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −25.4722 | − | 11.7351i | −0.856238 | − | 0.394471i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.0454 | + | 48.5761i | 0.941673 | + | 1.63102i | 0.762280 | + | 0.647247i | \(0.224080\pi\) |
0.179393 | + | 0.983778i | \(0.442587\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.04541 | − | 2.33562i | 0.135679 | − | 0.0783341i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 17.7980 | − | 22.0239i | 0.596254 | − | 0.737827i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −16.7753 | + | 55.7828i | −0.561363 | + | 1.86670i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.37117 | − | 5.41045i | −0.313244 | − | 0.180851i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −42.2474 | + | 3.89270i | −1.41060 | + | 0.129973i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 9.00000 | − | 5.19615i | 0.300167 | − | 0.173301i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.92820i | 0.230812i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.89898 | − | 0.635674i | 0.229584 | − | 0.0211539i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 30.4949 | 1.01368 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.9166 | + | 19.0044i | 1.09298 | + | 0.631031i | 0.934368 | − | 0.356311i | \(-0.115966\pi\) |
0.158610 | + | 0.987341i | \(0.449299\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.42679 | − | 29.1985i | −0.179995 | − | 0.968452i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.6515 | −0.949268 | −0.474634 | − | 0.880183i | \(-0.657419\pi\) | ||||
−0.474634 | + | 0.880183i | \(0.657419\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −53.4949 | −1.77042 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 3.10102 | − | 2.19275i | 0.102517 | − | 0.0724902i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0.866070 | + | 0.500026i | 0.0286002 | + | 0.0165123i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 36.6969 | 1.21052 | 0.605260 | − | 0.796028i | \(-0.293069\pi\) | ||||
0.605260 | + | 0.796028i | \(0.293069\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 3.39898 | + | 36.8891i | 0.112000 | + | 1.21554i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.7846i | 0.684134i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.0227 | − | 11.5601i | 0.658342 | − | 0.380094i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 14.2020 | + | 5.02118i | 0.466456 | + | 0.164917i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 24.0959 | + | 13.9118i | 0.790561 | + | 0.456431i | 0.840160 | − | 0.542338i | \(-0.182461\pi\) |
−0.0495987 | + | 0.998769i | \(0.515794\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 21.5783 | − | 20.3079i | 0.707201 | − | 0.665563i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −22.0000 | + | 15.5563i | −0.720248 | + | 0.509292i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.44949 | + | 1.41421i | −0.0801069 | + | 0.0462497i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.5000 | − | 19.9186i | −0.375689 | − | 0.650712i | 0.614741 | − | 0.788729i | \(-0.289260\pi\) |
−0.990430 | + | 0.138017i | \(0.955927\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 13.7702 | − | 29.8895i | 0.449372 | − | 0.975407i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −21.4949 | − | 37.2303i | −0.700714 | − | 1.21367i | −0.968216 | − | 0.250114i | \(-0.919532\pi\) |
0.267503 | − | 0.963557i | \(-0.413802\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 21.2132i | 0.690797i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 3.20204 | + | 0.810647i | 0.104162 | + | 0.0263704i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −6.55051 | − | 3.78194i | −0.212863 | − | 0.122896i | 0.389778 | − | 0.920909i | \(-0.372552\pi\) |
−0.602641 | + | 0.798012i | \(0.705885\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 30.4770i | − | 0.989326i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 4.34847 | − | 9.43879i | 0.141009 | − | 0.306074i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 12.3990 | − | 21.4757i | 0.401642 | − | 0.695665i | −0.592282 | − | 0.805731i | \(-0.701773\pi\) |
0.993924 | + | 0.110066i | \(0.0351062\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.79796 | − | 10.0424i | 0.187618 | − | 0.324963i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −12.1237 | − | 5.58542i | −0.391904 | − | 0.180551i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.52781 | + | 0.882079i | −0.0493354 | + | 0.0284838i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.0000 | 0.419355 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.89898 | − | 13.8564i | 0.157867 | − | 0.446516i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.2474 | − | 31.6055i | −0.587406 | − | 1.01742i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −25.6969 | + | 44.5084i | −0.826358 | + | 1.43129i | 0.0745193 | + | 0.997220i | \(0.476258\pi\) |
−0.900877 | + | 0.434074i | \(0.857076\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 3.59592 | + | 3.17837i | 0.115518 | + | 0.102104i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.07321 | + | 7.05501i | −0.130716 | + | 0.226406i | −0.923953 | − | 0.382507i | \(-0.875061\pi\) |
0.793237 | + | 0.608913i | \(0.208394\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.22474 | − | 5.58542i | −0.103381 | − | 0.179060i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.65153 | − | 17.9241i | −0.0528913 | − | 0.574030i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −40.1010 | −1.28295 | −0.641473 | − | 0.767146i | \(-0.721676\pi\) | ||||
−0.641473 | + | 0.767146i | \(0.721676\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 19.3485 | − | 11.1708i | 0.618380 | − | 0.357022i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −28.8990 | + | 50.0545i | −0.921734 | + | 1.59649i | −0.125003 | + | 0.992156i | \(0.539894\pi\) |
−0.796731 | + | 0.604334i | \(0.793439\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.3485 | − | 24.8523i | 0.457180 | − | 0.791859i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −9.44949 | − | 4.35340i | −0.300781 | − | 0.138570i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 62.9253i | − | 2.00091i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −15.3031 | − | 8.83523i | −0.486118 | − | 0.280660i | 0.236845 | − | 0.971548i | \(-0.423887\pi\) |
−0.722962 | + | 0.690887i | \(0.757220\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 32.9444 | − | 23.2952i | 1.04546 | − | 0.739251i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 4.09978i | − | 0.129972i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.7196 | + | 37.6195i | 0.687868 | + | 1.19142i | 0.972526 | + | 0.232793i | \(0.0747865\pi\) |
−0.284658 | + | 0.958629i | \(0.591880\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 10.8990 | + | 38.5337i | 0.344828 | + | 1.21915i |
(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 | 912.2.bn.g.65.1 | 4 | ||
3.2 | odd | 2 | 912.2.bn.h.65.1 | 4 | |||
4.3 | odd | 2 | 114.2.h.e.65.2 | ✓ | 4 | ||
12.11 | even | 2 | 114.2.h.f.65.2 | yes | 4 | ||
19.12 | odd | 6 | 912.2.bn.h.449.1 | 4 | |||
57.50 | even | 6 | inner | 912.2.bn.g.449.2 | 4 | ||
76.31 | even | 6 | 114.2.h.f.107.2 | yes | 4 | ||
228.107 | odd | 6 | 114.2.h.e.107.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.h.e.65.2 | ✓ | 4 | 4.3 | odd | 2 | ||
114.2.h.e.107.1 | yes | 4 | 228.107 | odd | 6 | ||
114.2.h.f.65.2 | yes | 4 | 12.11 | even | 2 | ||
114.2.h.f.107.2 | yes | 4 | 76.31 | even | 6 | ||
912.2.bn.g.65.1 | 4 | 1.1 | even | 1 | trivial | ||
912.2.bn.g.449.2 | 4 | 57.50 | even | 6 | inner | ||
912.2.bn.h.65.1 | 4 | 3.2 | odd | 2 | |||
912.2.bn.h.449.1 | 4 | 19.12 | odd | 6 |