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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 449.1 | ||
Root | \(-1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.449 |
Dual form | 912.2.bn.h.65.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | −1.72474 | + | 0.158919i | −0.995782 | + | 0.0917517i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.22474 | + | 0.707107i | −0.547723 | + | 0.316228i | −0.748203 | − | 0.663470i | \(-0.769083\pi\) |
0.200480 | + | 0.979698i | \(0.435750\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.449490 | 0.169891 | 0.0849456 | − | 0.996386i | \(-0.472928\pi\) | ||||
0.0849456 | + | 0.996386i | \(0.472928\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.94949 | − | 0.548188i | 0.983163 | − | 0.182729i | ||||
\(10\) | 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 | 0.0225039 | − | 0.999747i | \(-0.492836\pi\) |
−0.854554 | + | 0.519362i | \(0.826170\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.00000 | − | 1.41421i | 0.516398 | − | 0.365148i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.550510 | + | 0.317837i | −0.133518 | + | 0.0770869i | −0.565271 | − | 0.824905i | \(-0.691229\pi\) |
0.431753 | + | 0.901992i | \(0.357895\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.17423 | − | 2.98735i | −0.728219 | − | 0.685344i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.775255 | + | 0.0714323i | −0.169175 | + | 0.0155878i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.12372 | + | 3.53553i | 1.27688 | + | 0.737210i | 0.976274 | − | 0.216537i | \(-0.0694763\pi\) |
0.300610 | + | 0.953747i | \(0.402810\pi\) | |||||||
\(24\) | 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 | \(-0.760301\pi\) |
0.957046 | + | 0.289938i | \(0.0936346\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 4.24264i | − | 0.762001i | −0.924575 | − | 0.381000i | \(-0.875580\pi\) | ||
0.924575 | − | 0.381000i | \(-0.124420\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.500000 | − | 5.42650i | −0.0870388 | − | 0.944633i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.550510 | + | 0.317837i | −0.0930532 | + | 0.0537243i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 7.70674i | − | 1.26698i | −0.773751 | − | 0.633490i | \(-0.781622\pi\) | ||
0.773751 | − | 0.633490i | \(-0.218378\pi\) | |||||||
\(38\) | 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 | \(-0.241934\pi\) |
−0.959058 | + | 0.283211i | \(0.908600\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.44949 | − | 7.70674i | −0.678541 | − | 1.17527i | −0.975420 | − | 0.220352i | \(-0.929279\pi\) |
0.296880 | − | 0.954915i | \(-0.404054\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.22474 | + | 2.75699i | −0.480717 | + | 0.410989i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.5732 | − | 6.68180i | −1.68813 | − | 0.974640i | −0.955952 | − | 0.293524i | \(-0.905172\pi\) |
−0.732175 | − | 0.681117i | \(-0.761495\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.79796 | −0.971137 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.898979 | − | 0.635674i | 0.125882 | − | 0.0890122i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −5.44949 | + | 9.43879i | −0.748545 | + | 1.29652i | 0.199975 | + | 0.979801i | \(0.435914\pi\) |
−0.948520 | + | 0.316717i | \(0.897419\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.22474 | − | 3.85337i | −0.299985 | − | 0.519588i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.94949 | + | 4.64796i | 0.788029 | + | 0.615638i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.72474 | − | 9.91555i | −0.745298 | − | 1.29089i | −0.950055 | − | 0.312082i | \(-0.898974\pi\) |
0.204757 | − | 0.978813i | \(-0.434360\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.775255 | − | 1.34278i | 0.0992612 | − | 0.171926i | −0.812118 | − | 0.583493i | \(-0.801685\pi\) |
0.911379 | + | 0.411568i | \(0.135019\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.32577 | − | 0.246405i | 0.167031 | − | 0.0310441i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.89898 | 0.607644 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.17423 | − | 1.25529i | −0.265625 | − | 0.153359i | 0.361273 | − | 0.932460i | \(-0.382342\pi\) |
−0.626898 | + | 0.779101i | \(0.715676\pi\) | |||||||
\(68\) | 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 | \(-0.282538\pi\) |
−0.987294 | + | 0.158901i | \(0.949205\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.39898 | − | 7.61926i | −0.514862 | − | 0.891766i | −0.999851 | − | 0.0172466i | \(-0.994510\pi\) |
0.484990 | − | 0.874520i | \(-0.338823\pi\) | |||||||
\(74\) | 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 | −0.0259772 | − | 0.999663i | \(-0.508270\pi\) |
0.852745 | + | 0.522328i | \(0.174936\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.39898 | − | 3.23375i | 0.933220 | − | 0.359306i | ||||
\(82\) | 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 | \(-0.710511\pi\) |
0.990529 | + | 0.137307i | \(0.0438445\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.34847 | − | 0.778539i | −0.141358 | − | 0.0816131i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.674235 | + | 7.31747i | 0.0699149 | + | 0.758787i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 6.00000 | + | 1.41421i | 0.615587 | + | 0.145095i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.84847 | − | 1.64456i | 0.289218 | − | 0.166980i | −0.348371 | − | 0.937357i | \(-0.613265\pi\) |
0.637589 | + | 0.770377i | \(0.279932\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.72474 | + | 9.27987i | 0.173343 | + | 0.932662i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.57321 | + | 4.94975i | 0.853067 | + | 0.492518i | 0.861684 | − | 0.507445i | \(-0.169410\pi\) |
−0.00861771 | + | 0.999963i | \(0.502743\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.02118i | 0.494752i | 0.968920 | + | 0.247376i | \(0.0795682\pi\) | ||||
−0.968920 | + | 0.247376i | \(0.920432\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.898979 | − | 0.635674i | 0.0877314 | − | 0.0620355i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.89898 | 0.473602 | 0.236801 | − | 0.971558i | \(-0.423901\pi\) | ||||
0.236801 | + | 0.971558i | \(0.423901\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.22474 | + | 13.2922i | 0.116248 | + | 1.26164i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −18.7980 | −1.76836 | −0.884182 | − | 0.467143i | \(-0.845283\pi\) | ||||
−0.884182 | + | 0.467143i | \(0.845283\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −10.0000 | −0.932505 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −9.79796 | − | 3.46410i | −0.905822 | − | 0.320256i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.247449 | + | 0.142865i | −0.0226836 | + | 0.0130964i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.10102 | 0.100093 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.00000 | + | 4.24264i | 0.270501 | + | 0.382546i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 11.3137i | − | 1.01193i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.00000 | + | 5.19615i | 0.798621 | + | 0.461084i | 0.842989 | − | 0.537931i | \(-0.180794\pi\) |
−0.0443678 | + | 0.999015i | \(0.514127\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.89898 | + | 12.5851i | 0.783511 | + | 1.10805i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −1.92679 | + | 1.11243i | −0.168344 | + | 0.0971935i | −0.581805 | − | 0.813328i | \(-0.697653\pi\) |
0.413461 | + | 0.910522i | \(0.364320\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.42679 | − | 1.34278i | −0.123718 | − | 0.116434i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.12372 | − | 5.26758i | 0.440980 | − | 0.453362i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.39898 | + | 1.96240i | 0.290394 | + | 0.167659i | 0.638120 | − | 0.769937i | \(-0.279712\pi\) |
−0.347725 | + | 0.937596i | \(0.613046\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.17423 | + | 12.4261i | −0.608511 | + | 1.05397i | 0.382975 | + | 0.923759i | \(0.374899\pi\) |
−0.991486 | + | 0.130213i | \(0.958434\pi\) | |||||||
\(140\) | 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 | ||||||||
\(147\) | 11.7247 | − | 1.08032i | 0.967041 | − | 0.0891035i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 1.77526 | − | 1.02494i | 0.145435 | − | 0.0839667i | −0.425517 | − | 0.904950i | \(-0.639908\pi\) |
0.570952 | + | 0.820984i | \(0.306574\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.61377i | 0.782357i | 0.920315 | + | 0.391179i | \(0.127933\pi\) | ||||
−0.920315 | + | 0.391179i | \(0.872067\pi\) | |||||||
\(152\) | 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 | 0.569737 | − | 0.821827i | \(-0.307045\pi\) |
−0.996592 | + | 0.0824935i | \(0.973712\pi\) | |||||||
\(158\) | 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 | ||||||||
\(165\) | 4.44949 | + | 6.29253i | 0.346392 | + | 0.489873i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.44949 | − | 4.24264i | 0.189547 | − | 0.328305i | −0.755552 | − | 0.655089i | \(-0.772631\pi\) |
0.945099 | + | 0.326783i | \(0.105965\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −11.0000 | − | 7.07107i | −0.841191 | − | 0.540738i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0.550510 | + | 0.953512i | 0.0418545 | + | 0.0724942i | 0.886194 | − | 0.463315i | \(-0.153340\pi\) |
−0.844339 | + | 0.535809i | \(0.820007\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.674235 | + | 1.16781i | −0.0509673 | + | 0.0882780i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 11.4495 | + | 16.1920i | 0.860596 | + | 1.21707i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.65153 | 0.571902 | 0.285951 | − | 0.958244i | \(-0.407690\pi\) | ||||
0.285951 | + | 0.958244i | \(0.407690\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.6742 | + | 10.7816i | 1.38804 | + | 0.801388i | 0.993095 | − | 0.117314i | \(-0.0374285\pi\) |
0.394950 | + | 0.918703i | \(0.370762\pi\) | |||||||
\(182\) | 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 | −0.619012 | + | 0.785382i | \(0.712467\pi\) |
−0.989666 | + | 0.143389i | \(0.954200\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −8.44949 | + | 0.778539i | −0.605081 | + | 0.0557523i | ||||
\(196\) | 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 | −0.912817 | − | 0.408368i | \(-0.866098\pi\) |
0.810066 | + | 0.586339i | \(0.199431\pi\) | |||||||
\(200\) | 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 | ||||||||
\(207\) | 20.0000 | + | 7.07107i | 1.39010 | + | 0.491473i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 9.39898 | − | 9.98698i | 0.650141 | − | 0.690814i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.34847 | − | 0.778539i | 0.0928325 | − | 0.0535968i | −0.452865 | − | 0.891579i | \(-0.649598\pi\) |
0.545698 | + | 0.837982i | \(0.316265\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 6.00000 | + | 8.48528i | 0.411113 | + | 0.581402i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.8990 | + | 6.29253i | 0.743304 | + | 0.429147i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 1.90702i | − | 0.129457i | ||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 8.79796 | + | 12.4422i | 0.594511 | + | 0.840765i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.20204 | 0.148125 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 15.6742 | − | 9.04952i | 1.04962 | − | 0.606001i | 0.127080 | − | 0.991892i | \(-0.459439\pi\) |
0.922544 | + | 0.385892i | \(0.126106\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.00000 | + | 8.48528i | −0.200000 | + | 0.565685i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −0.550510 | −0.0365386 | −0.0182693 | − | 0.999833i | \(-0.505816\pi\) | ||||
−0.0182693 | + | 0.999833i | \(0.505816\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.898979 | 0.0594062 | 0.0297031 | − | 0.999559i | \(-0.490544\pi\) | ||||
0.0297031 | + | 0.999559i | \(0.490544\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.224745 | − | 2.43916i | −0.0147871 | − | 0.160485i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −15.3990 | + | 8.89060i | −1.00882 | + | 0.582443i | −0.910846 | − | 0.412746i | \(-0.864570\pi\) |
−0.0979745 | + | 0.995189i | \(0.531236\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 18.8990 | 1.23283 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −12.0000 | + | 8.48528i | −0.779484 | + | 0.551178i | ||||
\(238\) | 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 | 0.299663 | − | 0.954045i | \(-0.403126\pi\) |
−0.676396 | + | 0.736538i | \(0.736459\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −13.9722 | + | 6.91215i | −0.896317 | + | 0.443415i | ||||
\(244\) | 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 | ||||||||
\(249\) | −2.70204 | − | 29.3253i | −0.171235 | − | 1.85841i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.27526 | + | 1.89097i | 0.206732 | + | 0.119357i | 0.599792 | − | 0.800156i | \(-0.295250\pi\) |
−0.393060 | + | 0.919513i | \(0.628583\pi\) | |||||||
\(252\) | 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 | \(-0.988300\pi\) |
0.531487 | + | 0.847066i | \(0.321633\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 3.46410i | − | 0.215249i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.44949 | − | 6.92820i | 0.151620 | − | 0.428845i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −7.77526 | + | 4.48905i | −0.479443 | + | 0.276806i | −0.720184 | − | 0.693783i | \(-0.755943\pi\) |
0.240741 | + | 0.970589i | \(0.422609\pi\) | |||||||
\(264\) | 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 | 0.949377 | + | 0.314138i | \(0.101715\pi\) |
−0.202637 | + | 0.979254i | \(0.564951\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.0227 | − | 17.3598i | −0.608836 | − | 1.05453i | −0.991433 | − | 0.130619i | \(-0.958303\pi\) |
0.382597 | − | 0.923915i | \(-0.375030\pi\) | |||||||
\(272\) | 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 | ||||||||
\(279\) | −2.32577 | − | 12.5136i | −0.139240 | − | 0.749171i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 11.2980 | − | 19.5686i | 0.673980 | − | 1.16737i | −0.302786 | − | 0.953058i | \(-0.597917\pi\) |
0.976766 | − | 0.214309i | \(-0.0687498\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.72474 | − | 8.18350i | −0.280857 | − | 0.486458i | 0.690739 | − | 0.723104i | \(-0.257285\pi\) |
−0.971596 | + | 0.236646i | \(0.923952\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −10.5732 | − | 1.48565i | −0.626303 | − | 0.0880021i | ||||
\(286\) | 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 | ||||||||
\(291\) | −4.65153 | + | 3.28913i | −0.272678 | + | 0.192812i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −19.3485 | −1.13035 | −0.565175 | − | 0.824971i | \(-0.691191\pi\) | ||||
−0.565175 | + | 0.824971i | \(0.691191\pi\) | |||||||
\(294\) | 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 | −0.924642 | − | 0.380838i | \(-0.875635\pi\) |
−0.132505 | + | 0.991182i | \(0.542302\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.797959 | − | 8.66025i | −0.0453943 | − | 0.492665i | ||||
\(310\) | 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 | −0.462093 | − | 0.886831i | \(-0.652902\pi\) |
0.999065 | − | 0.0432311i | \(-0.0137652\pi\) | |||||||
\(314\) | 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 | \(-0.887225\pi\) |
0.769395 | + | 0.638774i | \(0.220558\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.67423 | + | 3.85337i | 0.373685 | + | 0.215747i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −8.44949 | + | 0.778539i | −0.471605 | + | 0.0434538i | ||||
\(322\) | 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 | \(-0.778847\pi\) | ||
0.768200 | − | 0.640210i | \(-0.221153\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −4.22474 | − | 22.7310i | −0.231515 | − | 1.24565i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3.55051 | 0.193985 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.8485 | + | 10.3048i | −0.972268 | + | 0.561339i | −0.899927 | − | 0.436041i | \(-0.856380\pi\) |
−0.0723411 | + | 0.997380i | \(0.523047\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 32.4217 | − | 2.98735i | 1.76090 | − | 0.162250i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.3485 | 0.722860 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.20204 | −0.334879 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 17.2474 | − | 1.58919i | 0.928571 | − | 0.0855589i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.27526 | + | 1.89097i | −0.175825 | + | 0.101513i | −0.585330 | − | 0.810795i | \(-0.699035\pi\) |
0.409505 | + | 0.912308i | \(0.365702\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 32.4949 | 1.73941 | 0.869706 | − | 0.493570i | \(-0.164308\pi\) | ||||
0.869706 | + | 0.493570i | \(0.164308\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 17.4495 | + | 4.41761i | 0.931385 | + | 0.235795i | ||||
\(352\) | 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 | ||||||||
\(357\) | 0.404082 | − | 0.285729i | 0.0213863 | − | 0.0151224i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −20.8207 | + | 12.0208i | −1.09887 | + | 0.634434i | −0.935925 | − | 0.352200i | \(-0.885434\pi\) |
−0.162948 | + | 0.986635i | \(0.552100\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.15153 | + | 18.9651i | 0.0606069 | + | 0.998162i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.89898 | + | 0.174973i | −0.0996706 | + | 0.00918368i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 10.7753 | + | 6.22110i | 0.564003 | + | 0.325627i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.32577 | + | 7.49245i | −0.225803 | + | 0.391102i | −0.956560 | − | 0.291535i | \(-0.905834\pi\) |
0.730757 | + | 0.682638i | \(0.239167\pi\) | |||||||
\(368\) | 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 | \(-0.770968\pi\) | ||
0.752119 | − | 0.659027i | \(-0.229032\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.79796 | + | 19.5133i | 0.0928462 | + | 1.00766i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.34847 | + | 4.24264i | −0.378465 | + | 0.218507i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 1.55708i | − | 0.0799817i | −0.999200 | − | 0.0399909i | \(-0.987267\pi\) | ||
0.999200 | − | 0.0399909i | \(-0.0127329\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −16.3485 | − | 7.53177i | −0.837557 | − | 0.385864i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.2247 | − | 17.7098i | −0.522460 | − | 0.904927i | −0.999659 | − | 0.0261318i | \(-0.991681\pi\) |
0.477198 | − | 0.878796i | \(-0.341652\pi\) | |||||||
\(384\) | 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 | \(-0.458616\pi\) |
−0.793894 | + | 0.608057i | \(0.791949\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.49490 | −0.227317 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.14643 | − | 2.22486i | 0.158716 | − | 0.112229i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.00000 | + | 10.3923i | −0.301893 | + | 0.522894i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.67423 | + | 4.63191i | 0.134216 | + | 0.232469i | 0.925298 | − | 0.379242i | \(-0.123815\pi\) |
−0.791082 | + | 0.611711i | \(0.790482\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.67423 | + | 2.08921i | 0.133879 | + | 0.104591i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.39898 | − | 5.88721i | −0.169737 | − | 0.293993i | 0.768590 | − | 0.639741i | \(-0.220958\pi\) |
−0.938327 | + | 0.345748i | \(0.887625\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.34847 | + | 12.7279i | −0.366053 | + | 0.634023i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −8.00000 | + | 9.89949i | −0.397523 | + | 0.491910i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 24.2474 | 1.20190 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.15153 | + | 1.81954i | 0.155833 | + | 0.0899703i | 0.575889 | − | 0.817528i | \(-0.304656\pi\) |
−0.420056 | + | 0.907498i | \(0.637989\pi\) | |||||||
\(410\) | 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 | −0.593780 | − | 0.804628i | \(-0.702365\pi\) |
0.399938 | + | 0.916542i | \(0.369032\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −37.7980 | − | 13.3636i | −1.83780 | − | 0.649760i | ||||
\(424\) | 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 | \(-0.858682\pi\) |
0.823505 | + | 0.567309i | \(0.192015\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −17.6969 | − | 10.2173i | −0.850461 | − | 0.491014i | 0.0103456 | − | 0.999946i | \(-0.496707\pi\) |
−0.860806 | + | 0.508933i | \(0.830040\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.550510 | − | 5.97469i | −0.0263949 | − | 0.286465i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −8.87628 | − | 29.5163i | −0.424610 | − | 1.41196i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.67423 | − | 5.58542i | 0.461726 | − | 0.266578i | −0.251044 | − | 0.967976i | \(-0.580774\pi\) |
0.712770 | + | 0.701398i | \(0.247440\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −20.0505 | + | 3.72656i | −0.954786 | + | 0.177455i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 16.3207 | + | 9.42274i | 0.775418 | + | 0.447688i | 0.834804 | − | 0.550547i | \(-0.185581\pi\) |
−0.0593859 | + | 0.998235i | \(0.518914\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.0424i | 0.476053i | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.89898 | + | 2.04989i | −0.137117 | + | 0.0969564i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 30.7980 | 1.45345 | 0.726723 | − | 0.686931i | \(-0.241042\pi\) | ||||
0.726723 | + | 0.686931i | \(0.241042\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.17423 | − | 4.71940i | 0.384910 | − | 0.222228i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.52781 | − | 16.5813i | −0.0717826 | − | 0.779057i | ||||
\(454\) | 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 | ||||||||
\(459\) | 2.30306 | − | 2.36773i | 0.107498 | − | 0.110516i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −33.2474 | + | 19.1954i | −1.54849 | + | 0.894020i | −0.550231 | + | 0.835013i | \(0.685460\pi\) |
−0.998258 | + | 0.0590072i | \(0.981207\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 19.7980 | 0.920089 | 0.460045 | − | 0.887896i | \(-0.347833\pi\) | ||||
0.460045 | + | 0.887896i | \(0.347833\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.00000 | − | 8.48528i | −0.278243 | − | 0.393496i | ||||
\(466\) | 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 | ||||||||
\(471\) | 10.6969 | + | 15.1278i | 0.492889 | + | 0.697050i | ||||
\(472\) | 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 | ||||||||
\(477\) | −10.8990 | + | 30.8270i | −0.499030 | + | 1.41147i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.853572 | − | 0.492810i | −0.0390007 | − | 0.0225171i | 0.480373 | − | 0.877064i | \(-0.340501\pi\) |
−0.519374 | + | 0.854547i | \(0.673835\pi\) | |||||||
\(480\) | 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 | \(-0.808086\pi\) | ||
0.823686 | − | 0.567046i | \(-0.191914\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 31.6464 | − | 2.91591i | 1.43110 | − | 0.131862i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.8990 | − | 8.02458i | 0.627252 | − | 0.362144i | −0.152435 | − | 0.988314i | \(-0.548711\pi\) |
0.779687 | + | 0.626169i | \(0.215378\pi\) | |||||||
\(492\) | 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 | 0.937273 | − | 0.348597i | \(-0.113342\pi\) |
−0.770530 | + | 0.637403i | \(0.780008\pi\) | |||||||
\(500\) | 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 | \(-0.220598\pi\) |
−0.168620 | + | 0.985681i | \(0.553931\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −14.0000 | −0.622992 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.00000 | + | 1.41421i | 0.0444116 | + | 0.0628074i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.69694 | − | 15.0635i | 0.385485 | − | 0.667680i | −0.606351 | − | 0.795197i | \(-0.707367\pi\) |
0.991836 | + | 0.127517i | \(0.0407008\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.97730 | − | 3.42478i | −0.0874704 | − | 0.151503i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 20.0959 | + | 10.4477i | 0.887256 | + | 0.461276i | ||||
\(514\) | 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 | ||||||||
\(519\) | −1.10102 | − | 1.55708i | −0.0483294 | − | 0.0683481i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −25.8990 | −1.13465 | −0.567327 | − | 0.823492i | \(-0.692023\pi\) | ||||
−0.567327 | + | 0.823492i | \(0.692023\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 5.69694 | + | 3.28913i | 0.249110 | + | 0.143824i | 0.619357 | − | 0.785110i | \(-0.287394\pi\) |
−0.370247 | + | 0.928933i | \(0.620727\pi\) | |||||||
\(524\) | 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 | ||||||||
\(537\) | −13.1969 | + | 1.21597i | −0.569490 | + | 0.0524730i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 21.3882i | − | 0.921254i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.34847 | + | 9.26382i | −0.229949 | + | 0.398283i | −0.957793 | − | 0.287460i | \(-0.907189\pi\) |
0.727844 | + | 0.685743i | \(0.240522\pi\) | |||||||
\(542\) | 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 | 0.992754 | − | 0.120168i | \(-0.0383432\pi\) |
0.392309 | + | 0.919834i | \(0.371677\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.55051 | − | 4.38551i | 0.0661742 | − | 0.187169i | ||||
\(550\) | 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 | ||||||||
\(555\) | −10.8990 | − | 15.4135i | −0.462636 | − | 0.654266i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 0.247449 | + | 0.142865i | 0.0104847 | + | 0.00605337i | 0.505233 | − | 0.862983i | \(-0.331406\pi\) |
−0.494748 | + | 0.869036i | \(0.664740\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.8270i | 1.30384i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.00000 | + | 2.82843i | 0.0844401 | + | 0.119416i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −40.8434 | −1.72134 | −0.860671 | − | 0.509161i | \(-0.829956\pi\) | ||||
−0.860671 | + | 0.509161i | \(0.829956\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.0227 | − | 13.2922i | 0.968572 | − | 0.559206i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.77526 | − | 1.45354i | 0.158546 | − | 0.0610428i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −34.2929 | −1.43763 | −0.718816 | − | 0.695201i | \(-0.755315\pi\) | ||||
−0.718816 | + | 0.695201i | \(0.755315\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −33.0454 | −1.38291 | −0.691454 | − | 0.722421i | \(-0.743029\pi\) | ||||
−0.691454 | + | 0.722421i | \(0.743029\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.30306 | + | 14.1421i | 0.0544362 | + | 0.590796i | ||||
\(574\) | 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 | ||||||||
\(579\) | 36.4949 | − | 25.8058i | 1.51668 | − | 1.07245i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.64253i | 0.317065i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −29.6969 | − | 17.1455i | −1.22992 | − | 0.710096i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 14.4495 | − | 2.68556i | 0.597413 | − | 0.111034i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 13.8990 | − | 8.02458i | 0.573672 | − | 0.331210i | −0.184942 | − | 0.982749i | \(-0.559210\pi\) |
0.758615 | + | 0.651540i | \(0.225877\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −12.6742 | + | 13.4671i | −0.522233 | + | 0.554904i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.22474 | + | 34.9982i | 0.132648 | + | 1.43963i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.0959 | + | 8.71563i | 0.619915 | + | 0.357908i | 0.776836 | − | 0.629703i | \(-0.216823\pi\) |
−0.156921 | + | 0.987611i | \(0.550157\pi\) | |||||||
\(594\) | 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 | \(-0.799805\pi\) |
0.913795 | + | 0.406176i | \(0.133138\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 14.0314i | − | 0.572352i | −0.958177 | − | 0.286176i | \(-0.907616\pi\) | ||
0.958177 | − | 0.286176i | \(-0.0923842\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −7.10102 | − | 2.51059i | −0.289176 | − | 0.102239i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −1.34847 | + | 0.778539i | −0.0548231 | + | 0.0316521i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 11.5208i | − | 0.467614i | −0.972283 | − | 0.233807i | \(-0.924882\pi\) | ||
0.972283 | − | 0.233807i | \(-0.0751185\pi\) | |||||||
\(608\) | 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 | −0.708886 | − | 0.705323i | \(-0.750802\pi\) |
−0.256385 | − | 0.966575i | \(-0.582531\pi\) | |||||||
\(614\) | 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 | \(-0.273418\pi\) |
−0.329118 | + | 0.944289i | \(0.606751\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.6969 | 1.23381 | 0.616907 | − | 0.787036i | \(-0.288385\pi\) | ||||
0.616907 | + | 0.787036i | \(0.288385\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −35.6186 | − | 9.01742i | −1.42933 | − | 0.361856i | ||||
\(622\) | 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 | ||||||||
\(627\) | −14.6237 | + | 18.7187i | −0.584015 | + | 0.747552i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.44949 | + | 4.24264i | 0.0976676 | + | 0.169165i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.1237 | + | 29.6592i | −0.681685 | + | 1.18071i | 0.292782 | + | 0.956179i | \(0.405419\pi\) |
−0.974466 | + | 0.224533i | \(0.927914\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.20204 | + | 1.55708i | −0.0875233 | + | 0.0618883i | ||||
\(634\) | 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 | −0.999695 | − | 0.0247111i | \(-0.992133\pi\) |
0.478447 | − | 0.878116i | \(-0.341200\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.07321 | + | 8.78706i | 0.200068 | + | 0.346528i | 0.948550 | − | 0.316627i | \(-0.102550\pi\) |
−0.748482 | + | 0.663155i | \(0.769217\pi\) | |||||||
\(644\) | 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 | ||||||||
\(651\) | 0.303062 | + | 3.28913i | 0.0118779 | + | 0.128911i | ||||
\(652\) | 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 | \(-0.678505\pi\) |
0.999309 | + | 0.0371821i | \(0.0118382\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 25.7196 | + | 14.8492i | 1.00038 | + | 0.577569i | 0.908360 | − | 0.418189i | \(-0.137335\pi\) |
0.0920180 | + | 0.995757i | \(0.470668\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −3.79796 | + | 0.349945i | −0.147501 | + | 0.0135908i | ||||
\(664\) | 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 | ||||||||
\(669\) | −25.5959 | + | 18.0990i | −0.989595 | + | 0.699750i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.22474 | + | 2.43916i | 0.163094 | + | 0.0941626i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 3.46410i | 0.133531i | 0.997769 | + | 0.0667657i | \(0.0212680\pi\) | ||||
−0.997769 | + | 0.0667657i | \(0.978732\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.82577 | − | 15.1117i | 0.147254 | − | 0.581650i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −32.6969 | −1.25665 | −0.628323 | − | 0.777953i | \(-0.716258\pi\) | ||||
−0.628323 | + | 0.777953i | \(0.716258\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.28036 | − | 0.739215i | 0.0491356 | − | 0.0283685i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.949490 | − | 0.0874863i | 0.0363845 | − | 0.00335248i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −17.3939 | −0.665558 | −0.332779 | − | 0.943005i | \(-0.607986\pi\) | ||||
−0.332779 | + | 0.943005i | \(0.607986\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.55051 | −0.212074 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.55051 | + | 0.142865i | −0.0591557 | + | 0.00545062i | ||||
\(688\) | 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 | ||||||||
\(693\) | 0.775255 | + | 4.17121i | 0.0294495 | + | 0.158451i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 20.2918i | − | 0.769712i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.65153 | + | 0.953512i | 0.0625562 | + | 0.0361168i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 25.1464 | − | 17.7812i | 0.951125 | − | 0.672547i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.57321 | + | 4.94975i | −0.323806 | + | 0.186949i | −0.653088 | − | 0.757282i | \(-0.726527\pi\) |
0.329282 | + | 0.944232i | \(0.393193\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −23.0227 | + | 24.4630i | −0.868318 | + | 0.922640i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −32.5959 | + | 3.00340i | −1.22763 | + | 0.113115i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.85357 | + | 2.22486i | 0.144928 | + | 0.0836745i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.67423 | − | 15.0242i | 0.325768 | − | 0.564246i | −0.655900 | − | 0.754848i | \(-0.727711\pi\) |
0.981667 | + | 0.190602i | \(0.0610439\pi\) | |||||||
\(710\) | 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 | ||||||||
\(717\) | −3.34847 | − | 36.3410i | −0.125051 | − | 1.35718i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −26.1464 | + | 15.0956i | −0.975097 | + | 0.562973i | −0.900786 | − | 0.434262i | \(-0.857009\pi\) |
−0.0743109 | + | 0.997235i | \(0.523676\pi\) | |||||||
\(720\) | 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 | 0.930618 | − | 0.365991i | \(-0.119270\pi\) |
−0.782267 | + | 0.622944i | \(0.785937\pi\) | |||||||
\(728\) | 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 | ||||||||
\(735\) | −13.5959 | + | 9.61377i | −0.501493 | + | 0.354609i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.94949 | − | 6.84072i | 0.145481 | − | 0.251981i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.1742 | + | 21.0864i | 0.447836 | + | 0.775676i | 0.998245 | − | 0.0592200i | \(-0.0188613\pi\) |
−0.550408 | + | 0.834895i | \(0.685528\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.79796 | − | 24.2487i | −0.359937 | − | 0.890799i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.32577 | + | 4.02834i | 0.0853241 | + | 0.147786i | 0.905529 | − | 0.424284i | \(-0.139474\pi\) |
−0.820205 | + | 0.572069i | \(0.806141\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.44949 | + | 2.51059i | −0.0531052 | + | 0.0919809i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.32066 | + | 50.1492i | 0.341025 | + | 1.83486i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.20204 | 0.0804608 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.6969 | − | 10.2173i | −0.645770 | − | 0.372836i | 0.141063 | − | 0.990001i | \(-0.454948\pi\) |
−0.786834 | + | 0.617165i | \(0.788281\pi\) | |||||||
\(752\) | 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 | 0.962612 | + | 0.270883i | \(0.0873155\pi\) |
−0.246715 | + | 0.969088i | \(0.579351\pi\) | |||||||
\(758\) | 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 | ||||||||
\(765\) | 0.898979 | − | 2.54270i | 0.0325027 | − | 0.0919314i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 39.6622i | 1.43212i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.79796 | + | 3.11416i | −0.0648361 | + | 0.112299i | −0.896621 | − | 0.442798i | \(-0.853986\pi\) |
0.831785 | + | 0.555098i | \(0.187319\pi\) | |||||||
\(770\) | 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 | \(-0.847360\pi\) |
0.843159 | + | 0.537664i | \(0.180693\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 11.0227 | + | 6.36396i | 0.395947 | + | 0.228600i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.550510 | + | 5.97469i | 0.0197494 | + | 0.214341i | ||||
\(778\) | 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 | ||||||||
\(783\) | −3.12372 | + | 12.3387i | −0.111633 | + | 0.440947i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 13.1010 | + | 7.56388i | 0.467595 | + | 0.269966i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | − | 7.53177i | − | 0.268479i | −0.990949 | − | 0.134239i | \(-0.957141\pi\) | ||
0.990949 | − | 0.134239i | \(-0.0428591\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 12.6969 | − | 8.97809i | 0.452023 | − | 0.319629i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.44949 | −0.300429 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.65153 | + | 2.68556i | −0.165181 | + | 0.0953671i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 2.44949 | + | 26.5843i | 0.0868744 | + | 0.942849i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 37.3485 | 1.32295 | 0.661475 | − | 0.749967i | \(-0.269931\pi\) | ||||
0.661475 | + | 0.749967i | \(0.269931\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.49490 | 0.300528 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.10102 | − | 20.0847i | 0.250902 | − | 0.709659i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 23.9722 | − | 13.8404i | 0.845960 | − | 0.488415i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.49490 | −0.158424 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −24.4949 | − | 34.6410i | −0.862261 | − | 1.21942i | ||||
\(808\) | 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 | 0.446402 | − | 0.894832i | \(-0.352705\pi\) |
−0.551746 | + | 0.834012i | \(0.686038\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 20.0454 | + | 28.3485i | 0.703023 | + | 0.994225i | ||||
\(814\) | 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 | ||||||||
\(819\) | −4.40408 | − | 1.55708i | −0.153891 | − | 0.0544087i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.44949 | − | 3.14626i | −0.190189 | − | 0.109805i | 0.401882 | − | 0.915691i | \(-0.368356\pi\) |
−0.592071 | + | 0.805886i | \(0.701689\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.3485 | + | 42.1728i | −0.848734 | + | 1.47005i | 0.0336040 | + | 0.999435i | \(0.489301\pi\) |
−0.882338 | + | 0.470616i | \(0.844032\pi\) | |||||||
\(824\) | 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 | \(-0.712889\pi\) |
0.989475 | + | 0.144701i | \(0.0462220\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.2275i | 0.667800i | 0.942609 | + | 0.333900i | \(0.108365\pi\) | ||||
−0.942609 | + | 0.333900i | \(0.891635\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −34.9217 | + | 3.21770i | −1.21142 | + | 0.111621i | ||||
\(832\) | 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 | \(-0.240677\pi\) |
−0.957932 | + | 0.286996i | \(0.907343\pi\) | |||||||
\(840\) | 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 | ||||||||
\(849\) | 9.44949 | + | 13.3636i | 0.324306 | + | 0.458637i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 27.2474 | − | 47.1940i | 0.934031 | − | 1.61779i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.00000 | + | 8.66025i | 0.171197 | + | 0.296521i | 0.938839 | − | 0.344358i | \(-0.111903\pi\) |
−0.767642 | + | 0.640879i | \(0.778570\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 18.4722 | + | 0.882079i | 0.631736 | + | 0.0301665i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 8.29796 | + | 14.3725i | 0.283453 | + | 0.490955i | 0.972233 | − | 0.234016i | \(-0.0751867\pi\) |
−0.688780 | + | 0.724970i | \(0.741853\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.42168 | − | 16.3188i | 0.321464 | − | 0.556791i | −0.659327 | − | 0.751857i | \(-0.729159\pi\) |
0.980790 | + | 0.195065i | \(0.0624919\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.34847 | + | 1.90702i | 0.0459557 | + | 0.0649912i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.6515 | −0.566825 | −0.283412 | − | 0.958998i | \(-0.591467\pi\) | ||||
−0.283412 | + | 0.958998i | \(0.591467\pi\) | |||||||
\(864\) | 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 | −0.966646 | − | 0.256115i | \(-0.917557\pi\) |
−0.261521 | + | 0.965198i | \(0.584224\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 33.3712 | − | 3.07483i | 1.12558 | − | 0.103712i | ||||
\(880\) | 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 | −0.986375 | − | 0.164510i | \(-0.947396\pi\) |
0.635658 | + | 0.771971i | \(0.280729\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −25.4722 | − | 11.7351i | −0.856238 | − | 0.394471i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −28.0454 | + | 48.5761i | −0.941673 | + | 1.63102i | −0.179393 | + | 0.983778i | \(0.557413\pi\) |
−0.762280 | + | 0.647247i | \(0.775920\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.04541 | + | 2.33562i | 0.135679 | + | 0.0783341i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 10.1742 | + | 26.4254i | 0.340850 | + | 0.885285i | ||||
\(892\) | 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 | ||||||||
\(897\) | 24.4949 | + | 34.6410i | 0.817861 | + | 1.15663i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −9.00000 | − | 5.19615i | −0.300167 | − | 0.173301i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 6.92820i | − | 0.230812i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.00000 | + | 5.65685i | 0.133112 | + | 0.188248i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −30.4949 | −1.01368 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 32.9166 | − | 19.0044i | 1.09298 | − | 0.631031i | 0.158610 | − | 0.987341i | \(-0.449299\pi\) |
0.934368 | + | 0.356311i | \(0.115966\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 28.0000 | + | 9.89949i | 0.928701 | + | 0.328346i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 28.6515 | 0.949268 | 0.474634 | − | 0.880183i | \(-0.342581\pi\) | ||||
0.474634 | + | 0.880183i | \(0.342581\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −53.4949 | −1.77042 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.348469 | − | 3.78194i | −0.0115200 | − | 0.125027i | ||||
\(916\) | 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 | ||||||||
\(921\) | 30.2474 | − | 21.3882i | 0.996687 | − | 0.704764i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 20.7846i | 0.684134i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.0227 | + | 11.5601i | 0.658342 | + | 0.380094i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.75255 | + | 14.8099i | 0.0904056 | + | 0.486422i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.0959 | + | 13.9118i | −0.790561 | + | 0.456431i | −0.840160 | − | 0.542338i | \(-0.817539\pi\) |
0.0495987 | + | 0.998769i | \(0.484206\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 21.5783 | + | 20.3079i | 0.707201 | + | 0.665563i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.47219 | + | 26.8307i | 0.0809360 | + | 0.878399i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.44949 | + | 1.41421i | 0.0801069 | + | 0.0462497i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.5000 | + | 19.9186i | −0.375689 | + | 0.650712i | −0.990430 | − | 0.138017i | \(-0.955927\pi\) |
0.614741 | + | 0.788729i | \(0.289260\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −13.7702 | + | 29.8895i | −0.449372 | + | 0.975407i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 21.4949 | − | 37.2303i | 0.700714 | − | 1.21367i | −0.267503 | − | 0.963557i | \(-0.586198\pi\) |
0.968216 | − | 0.250114i | \(-0.0804683\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 21.2132i | − | 0.690797i | ||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.30306 | − | 2.36773i | 0.0749186 | − | 0.0770221i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 6.55051 | − | 3.78194i | 0.212863 | − | 0.122896i | −0.389778 | − | 0.920909i | \(-0.627448\pi\) |
0.602641 | + | 0.798012i | \(0.294115\pi\) | |||||||
\(948\) | 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 | \(-0.298227\pi\) |
−0.993924 | + | 0.110066i | \(0.964894\pi\) | |||||||
\(954\) | 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 | ||||||||
\(963\) | 14.4495 | − | 2.68556i | 0.465628 | − | 0.0865410i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 18.2474 | − | 31.6055i | 0.587406 | − | 1.01742i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −25.6969 | − | 44.5084i | −0.826358 | − | 1.43129i | −0.900877 | − | 0.434074i | \(-0.857076\pi\) |
0.0745193 | − | 0.997220i | \(-0.476258\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.75255 | − | 0.667783i | −0.152674 | − | 0.0214523i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 4.07321 | + | 7.05501i | 0.130716 | + | 0.226406i | 0.923953 | − | 0.382507i | \(-0.124939\pi\) |
−0.793237 | + | 0.608913i | \(0.791606\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.22474 | + | 5.58542i | −0.103381 | + | 0.179060i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −14.6969 | + | 10.3923i | −0.470679 | + | 0.332820i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 40.1010 | 1.28295 | 0.641473 | − | 0.767146i | \(-0.278324\pi\) | ||||
0.641473 | + | 0.767146i | \(0.278324\pi\) | |||||||
\(978\) | 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 | 0.796731 | + | 0.604334i | \(0.206561\pi\) |
0.125003 | + | 0.992156i | \(0.460106\pi\) | |||||||
\(984\) | 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 | −0.722962 | − | 0.690887i | \(-0.757220\pi\) |
0.236845 | + | 0.971548i | \(0.423887\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 3.70204 | + | 40.1783i | 0.117481 | + | 1.27502i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 4.09978i | − | 0.129972i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 21.7196 | − | 37.6195i | 0.687868 | − | 1.19142i | −0.284658 | − | 0.958629i | \(-0.591880\pi\) |
0.972526 | − | 0.232793i | \(-0.0747865\pi\) | |||||||
\(998\) | 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.h.449.1 | 4 | ||
3.2 | odd | 2 | 912.2.bn.g.449.2 | 4 | |||
4.3 | odd | 2 | 114.2.h.f.107.2 | yes | 4 | ||
12.11 | even | 2 | 114.2.h.e.107.1 | yes | 4 | ||
19.8 | odd | 6 | 912.2.bn.g.65.1 | 4 | |||
57.8 | even | 6 | inner | 912.2.bn.h.65.1 | 4 | ||
76.27 | even | 6 | 114.2.h.e.65.2 | ✓ | 4 | ||
228.179 | odd | 6 | 114.2.h.f.65.2 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.h.e.65.2 | ✓ | 4 | 76.27 | even | 6 | ||
114.2.h.e.107.1 | yes | 4 | 12.11 | even | 2 | ||
114.2.h.f.65.2 | yes | 4 | 228.179 | odd | 6 | ||
114.2.h.f.107.2 | yes | 4 | 4.3 | odd | 2 | ||
912.2.bn.g.65.1 | 4 | 19.8 | odd | 6 | |||
912.2.bn.g.449.2 | 4 | 3.2 | odd | 2 | |||
912.2.bn.h.65.1 | 4 | 57.8 | even | 6 | inner | ||
912.2.bn.h.449.1 | 4 | 1.1 | even | 1 | trivial |