Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(79,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.ci (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.28235666434\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 751.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.751 |
Dual form | 912.2.ci.a.895.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(1\) | \(1\) | \(-1\) |
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 | ||||||||
\(3\) | 0.766044 | − | 0.642788i | 0.442276 | − | 0.371114i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.826352 | − | 0.300767i | −0.369556 | − | 0.134507i | 0.150565 | − | 0.988600i | \(-0.451891\pi\) |
−0.520121 | + | 0.854093i | \(0.674113\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.907604 | − | 0.524005i | −0.343042 | − | 0.198055i | 0.318574 | − | 0.947898i | \(-0.396796\pi\) |
−0.661616 | + | 0.749842i | \(0.730129\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.79813 | + | 2.19285i | −1.14518 | + | 0.661170i | −0.947708 | − | 0.319138i | \(-0.896607\pi\) |
−0.197472 | + | 0.980308i | \(0.563273\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.64543 | + | 4.34445i | −1.01106 | + | 1.20493i | −0.0323947 | + | 0.999475i | \(0.510313\pi\) |
−0.978666 | + | 0.205460i | \(0.934131\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.826352 | + | 0.300767i | −0.213363 | + | 0.0776578i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.539363 | − | 3.05888i | −0.130815 | − | 0.741887i | −0.977683 | − | 0.210085i | \(-0.932626\pi\) |
0.846868 | − | 0.531802i | \(-0.178485\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.28699 | − | 0.788496i | −0.983503 | − | 0.180893i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.03209 | + | 0.181985i | −0.225220 | + | 0.0397124i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.78699 | − | 4.90971i | −0.372613 | − | 1.02375i | −0.974347 | − | 0.225049i | \(-0.927746\pi\) |
0.601734 | − | 0.798696i | \(-0.294477\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.23783 | − | 2.71686i | −0.647565 | − | 0.543372i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.30200 | + | 1.11121i | 1.17025 | + | 0.206347i | 0.724801 | − | 0.688959i | \(-0.241932\pi\) |
0.445452 | + | 0.895306i | \(0.353043\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.40033 | + | 5.88954i | −0.610717 | + | 1.05779i | 0.380402 | + | 0.924821i | \(0.375785\pi\) |
−0.991120 | + | 0.132972i | \(0.957548\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.50000 | + | 4.12122i | −0.261116 | + | 0.717412i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.592396 | + | 0.705990i | 0.100133 | + | 0.119334i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.58186i | 1.57525i | 0.616156 | + | 0.787624i | \(0.288689\pi\) | ||||
−0.616156 | + | 0.787624i | \(0.711311\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.67128i | 0.908132i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.50640 | + | 5.37051i | 0.703781 | + | 0.838733i | 0.992949 | − | 0.118545i | \(-0.0378230\pi\) |
−0.289168 | + | 0.957278i | \(0.593379\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.63429 | − | 4.49016i | 0.249226 | − | 0.684743i | −0.750489 | − | 0.660883i | \(-0.770182\pi\) |
0.999715 | − | 0.0238605i | \(-0.00759575\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.439693 | + | 0.761570i | −0.0655455 | + | 0.113528i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.1985 | − | 1.97459i | −1.63346 | − | 0.288024i | −0.719705 | − | 0.694280i | \(-0.755723\pi\) |
−0.913759 | + | 0.406257i | \(0.866834\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.95084 | − | 5.11100i | −0.421548 | − | 0.730143i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.37939 | − | 1.99654i | −0.333181 | − | 0.279572i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.83022 | + | 5.02849i | 0.251400 | + | 0.690717i | 0.999628 | + | 0.0272747i | \(0.00868288\pi\) |
−0.748228 | + | 0.663442i | \(0.769095\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.79813 | − | 0.669713i | 0.512140 | − | 0.0903041i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.79086 | + | 2.15160i | −0.502112 | + | 0.284986i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.62314 | − | 14.8766i | −0.341504 | − | 1.93676i | −0.349866 | − | 0.936800i | \(-0.613773\pi\) |
0.00836244 | − | 0.999965i | \(-0.497338\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.56418 | − | 2.75314i | 0.968494 | − | 0.352503i | 0.191137 | − | 0.981563i | \(-0.438782\pi\) |
0.777356 | + | 0.629060i | \(0.216560\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.673648 | + | 0.802823i | −0.0848717 | + | 0.101146i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.31908 | − | 2.49362i | 0.535716 | − | 0.309296i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.709141 | + | 4.02174i | −0.0866353 | + | 0.491333i | 0.910356 | + | 0.413825i | \(0.135808\pi\) |
−0.996992 | + | 0.0775082i | \(0.975304\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.52481 | − | 2.61240i | −0.544724 | − | 0.314496i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.59240 | − | 1.30753i | −0.426339 | − | 0.155175i | 0.119934 | − | 0.992782i | \(-0.461732\pi\) |
−0.546273 | + | 0.837607i | \(0.683954\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.4474 | + | 8.76644i | −1.22278 | + | 1.02603i | −0.224105 | + | 0.974565i | \(0.571946\pi\) |
−0.998675 | + | 0.0514689i | \(0.983610\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.22668 | −0.488055 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.59627 | 0.523793 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.54710 | + | 2.97637i | −0.399080 | + | 0.334868i | −0.820138 | − | 0.572166i | \(-0.806103\pi\) |
0.421058 | + | 0.907034i | \(0.361659\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.939693 | − | 0.342020i | −0.104410 | − | 0.0380022i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.02481 | + | 3.47843i | 0.661309 | + | 0.381807i | 0.792776 | − | 0.609514i | \(-0.208635\pi\) |
−0.131466 | + | 0.991321i | \(0.541969\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.474308 | + | 2.68993i | −0.0514459 | + | 0.291764i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.54189 | − | 3.19961i | 0.594153 | − | 0.343034i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.71941 | − | 6.81612i | 0.606256 | − | 0.722508i | −0.372386 | − | 0.928078i | \(-0.621460\pi\) |
0.978642 | + | 0.205570i | \(0.0659048\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.58512 | − | 2.03282i | 0.585480 | − | 0.213097i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.18092 | + | 6.69734i | 0.122456 | + | 0.694482i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.30541 | + | 1.94096i | 0.339128 | + | 0.199138i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.33022 | − | 0.587208i | 0.338133 | − | 0.0596219i | −0.00200373 | − | 0.999998i | \(-0.500638\pi\) |
0.340137 | + | 0.940376i | \(0.389527\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.50000 | + | 4.12122i | 0.150756 | + | 0.414198i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.74376 | − | 6.49778i | −0.770532 | − | 0.646554i | 0.170313 | − | 0.985390i | \(-0.445522\pi\) |
−0.940845 | + | 0.338837i | \(0.889967\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.61334 | − | 6.25849i | −0.356033 | − | 0.616667i | 0.631261 | − | 0.775570i | \(-0.282538\pi\) |
−0.987294 | + | 0.158903i | \(0.949204\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.907604 | + | 0.160035i | 0.0885731 | + | 0.0156178i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.00000 | + | 5.19615i | −0.290021 | + | 0.502331i | −0.973814 | − | 0.227345i | \(-0.926996\pi\) |
0.683793 | + | 0.729676i | \(0.260329\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.74123 | + | 7.53147i | −0.262562 | + | 0.721384i | 0.736431 | + | 0.676513i | \(0.236510\pi\) |
−0.998993 | + | 0.0448706i | \(0.985712\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.15910 | + | 7.34013i | 0.584596 | + | 0.696694i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 20.4241i | − | 1.92134i | −0.277697 | − | 0.960669i | \(-0.589571\pi\) | ||
0.277697 | − | 0.960669i | \(-0.410429\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.59462i | 0.428450i | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.64543 | + | 4.34445i | 0.337020 | + | 0.401645i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −1.11334 | + | 3.05888i | −0.102060 | + | 0.280407i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.11721 | − | 7.13122i | 0.374292 | − | 0.648293i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 6.90420 | + | 1.21740i | 0.622531 | + | 0.109769i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.05690 | + | 7.02676i | 0.362861 | + | 0.628493i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.32888 | + | 6.98876i | 0.739068 | + | 0.620152i | 0.932587 | − | 0.360945i | \(-0.117546\pi\) |
−0.193519 | + | 0.981097i | \(0.561990\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.63429 | − | 4.49016i | −0.143891 | − | 0.395337i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.63429 | − | 0.817150i | 0.404899 | − | 0.0713947i | 0.0325103 | − | 0.999471i | \(-0.489650\pi\) |
0.372389 | + | 0.928077i | \(0.378539\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.47771 | + | 2.96205i | 0.301556 | + | 0.256842i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.152704 | + | 0.866025i | 0.0131426 | + | 0.0745356i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.81908 | − | 2.11797i | 0.497157 | − | 0.180950i | −0.0812576 | − | 0.996693i | \(-0.525894\pi\) |
0.578415 | + | 0.815743i | \(0.303671\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.28446 | − | 5.10602i | 0.363403 | − | 0.433087i | −0.553100 | − | 0.833115i | \(-0.686555\pi\) |
0.916503 | + | 0.400028i | \(0.131000\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.84776 | + | 5.68561i | −0.829331 | + | 0.478815i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.31908 | − | 24.4947i | 0.361179 | − | 2.04835i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.87346 | − | 2.81369i | −0.404718 | − | 0.233664i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.54576 | − | 2.01849i | −0.457407 | − | 0.166482i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.190722 | + | 0.160035i | −0.0156246 | + | 0.0131106i | −0.650566 | − | 0.759449i | \(-0.725468\pi\) |
0.634942 | + | 0.772560i | \(0.281024\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.2199 | −1.23858 | −0.619288 | − | 0.785164i | \(-0.712579\pi\) | ||||
−0.619288 | + | 0.785164i | \(0.712579\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.10607 | −0.251111 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.58125 | − | 3.84413i | 0.367975 | − | 0.308768i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.6912 | − | 3.89127i | −0.853250 | − | 0.310558i | −0.121885 | − | 0.992544i | \(-0.538894\pi\) |
−0.731365 | + | 0.681987i | \(0.761116\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.63429 | + | 2.67561i | 0.367523 | + | 0.212189i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.950837 | + | 5.39246i | −0.0749365 | + | 0.424986i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.83157 | + | 3.94421i | −0.535090 | + | 0.308934i | −0.743087 | − | 0.669195i | \(-0.766639\pi\) |
0.207997 | + | 0.978129i | \(0.433306\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.47906 | − | 2.95442i | 0.192994 | − | 0.230002i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.65270 | − | 0.601535i | 0.127890 | − | 0.0465482i | −0.277282 | − | 0.960788i | \(-0.589434\pi\) |
0.405172 | + | 0.914240i | \(0.367212\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.32770 | − | 18.8723i | −0.255977 | − | 1.45172i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.52094 | + | 4.08494i | −0.116310 | + | 0.312383i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.76011 | − | 0.663010i | 0.285876 | − | 0.0504077i | −0.0288712 | − | 0.999583i | \(-0.509191\pi\) |
0.314747 | + | 0.949175i | \(0.398080\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.51501 | + | 4.16247i | 0.114524 | + | 0.314653i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −11.5719 | − | 9.70999i | −0.869799 | − | 0.729848i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 10.0039 | + | 17.3272i | 0.747724 | + | 1.29510i | 0.948911 | + | 0.315544i | \(0.102187\pi\) |
−0.201187 | + | 0.979553i | \(0.564480\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.42514 | − | 1.30925i | −0.551907 | − | 0.0973160i | −0.109262 | − | 0.994013i | \(-0.534849\pi\) |
−0.442645 | + | 0.896697i | \(0.645960\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.02481 | − | 6.97118i | 0.297523 | − | 0.515325i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.88191 | − | 7.91799i | 0.211882 | − | 0.582142i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.75624 | + | 10.4353i | 0.640320 | + | 0.763104i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.04801i | 0.0762315i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 5.01590i | 0.362937i | 0.983397 | + | 0.181469i | \(0.0580851\pi\) | ||||
−0.983397 | + | 0.181469i | \(0.941915\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.82635 | + | 4.56007i | 0.275427 | + | 0.328241i | 0.885970 | − | 0.463742i | \(-0.153493\pi\) |
−0.610544 | + | 0.791983i | \(0.709049\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.70574 | − | 4.68647i | 0.122150 | − | 0.335605i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.0594 | − | 20.8875i | 0.859199 | − | 1.48818i | −0.0134954 | − | 0.999909i | \(-0.504296\pi\) |
0.872694 | − | 0.488267i | \(-0.162371\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 24.4859 | + | 4.31753i | 1.73576 | + | 0.306061i | 0.949949 | − | 0.312404i | \(-0.101134\pi\) |
0.785812 | + | 0.618466i | \(0.212246\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.04189 | + | 3.53666i | 0.144024 | + | 0.249456i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −5.13744 | − | 4.31082i | −0.360578 | − | 0.302561i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.10859 | − | 5.79331i | −0.147271 | − | 0.404622i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −5.14543 | + | 0.907278i | −0.357632 | + | 0.0630602i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 18.0116 | − | 6.40593i | 1.24589 | − | 0.443107i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.440570 | − | 2.49860i | −0.0303301 | − | 0.172010i | 0.965880 | − | 0.258990i | \(-0.0833897\pi\) |
−0.996210 | + | 0.0869795i | \(0.972279\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −3.59240 | + | 1.30753i | −0.246147 | + | 0.0895902i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.70099 | + | 3.21891i | −0.184206 | + | 0.219528i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.17230 | − | 3.56358i | 0.419003 | − | 0.241912i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.36824 | + | 13.4310i | −0.160031 | + | 0.907580i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.2554 | + | 8.80769i | 1.02619 | + | 0.592469i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 20.9884 | + | 7.63917i | 1.40549 | + | 0.511557i | 0.929803 | − | 0.368058i | \(-0.119977\pi\) |
0.475687 | + | 0.879614i | \(0.342199\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.23783 | + | 2.71686i | −0.215855 | + | 0.181124i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.58172 | −0.171355 | −0.0856773 | − | 0.996323i | \(-0.527305\pi\) | ||||
−0.0856773 | + | 0.996323i | \(0.527305\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.16756 | −0.341482 | −0.170741 | − | 0.985316i | \(-0.554616\pi\) | ||||
−0.170741 | + | 0.985316i | \(0.554616\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.52094 | − | 2.95442i | 0.231661 | − | 0.194387i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 8.12361 | + | 2.95675i | 0.532195 | + | 0.193703i | 0.594118 | − | 0.804378i | \(-0.297501\pi\) |
−0.0619230 | + | 0.998081i | \(0.519723\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.65998 | + | 4.99984i | 0.564915 | + | 0.326154i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.804063 | + | 4.56007i | −0.0522295 | + | 0.296208i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.04664 | + | 1.75898i | −0.197071 | + | 0.113779i | −0.595288 | − | 0.803512i | \(-0.702962\pi\) |
0.398218 | + | 0.917291i | \(0.369629\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.78611 | + | 11.6626i | −0.630379 | + | 0.751256i | −0.982818 | − | 0.184579i | \(-0.940908\pi\) |
0.352439 | + | 0.935835i | \(0.385352\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.939693 | + | 0.342020i | −0.0602813 | + | 0.0219406i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.901207 | + | 5.11100i | 0.0575760 | + | 0.326530i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 19.0535 | − | 15.7502i | 1.21235 | − | 1.00216i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.85117 | − | 1.20805i | 0.434175 | − | 0.0765568i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.95218 | − | 16.3535i | −0.375698 | − | 1.03222i | −0.973121 | − | 0.230296i | \(-0.926031\pi\) |
0.597422 | − | 0.801927i | \(-0.296192\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.5535 | + | 14.7291i | 1.10358 | + | 0.926013i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.36571 | + | 2.36549i | 0.0855244 | + | 0.148133i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −31.1976 | − | 5.50098i | −1.94605 | − | 0.343141i | −0.999806 | − | 0.0196932i | \(-0.993731\pi\) |
−0.946246 | − | 0.323448i | \(-0.895158\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.02094 | − | 8.69653i | 0.311986 | − | 0.540376i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.18866 | − | 6.01330i | 0.135475 | − | 0.372214i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.985452 | + | 1.17442i | 0.0607656 | + | 0.0724176i | 0.795571 | − | 0.605860i | \(-0.207171\pi\) |
−0.734805 | + | 0.678278i | \(0.762727\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 4.70578i | − | 0.289074i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 8.89782i | − | 0.544538i | ||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 14.9932 | + | 17.8682i | 0.914151 | + | 1.08944i | 0.995687 | + | 0.0927725i | \(0.0295729\pi\) |
−0.0815362 | + | 0.996670i | \(0.525983\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.75237 | − | 21.2995i | 0.470923 | − | 1.29385i | −0.446088 | − | 0.894989i | \(-0.647183\pi\) |
0.917011 | − | 0.398862i | \(-0.130595\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.97178 | − | 5.14728i | 0.179860 | − | 0.311527i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 18.2554 | + | 3.21891i | 1.10084 | + | 0.194108i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.7947 | − | 18.6970i | −0.648592 | − | 1.12340i | −0.983459 | − | 0.181130i | \(-0.942025\pi\) |
0.334867 | − | 0.942265i | \(-0.391309\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.20961 | + | 4.37138i | 0.311891 | + | 0.261708i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.31299 | − | 25.5872i | −0.555566 | − | 1.52641i | −0.826002 | − | 0.563667i | \(-0.809390\pi\) |
0.270436 | − | 0.962738i | \(-0.412832\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.2788 | + | 4.45734i | −1.50267 | + | 0.264961i | −0.863597 | − | 0.504184i | \(-0.831794\pi\) |
−0.639074 | + | 0.769145i | \(0.720682\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.77972 | − | 0.637812i | 0.223891 | − | 0.0377807i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.27584 | − | 7.23567i | −0.0753107 | − | 0.427108i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.90895 | − | 2.51465i | 0.406409 | − | 0.147921i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.17365 | − | 2.59045i | 0.127422 | − | 0.151855i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −16.7087 | + | 9.64679i | −0.976134 | + | 0.563571i | −0.901101 | − | 0.433610i | \(-0.857240\pi\) |
−0.0750336 | + | 0.997181i | \(0.523906\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.30675 | + | 13.0822i | −0.134304 | + | 0.761677i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.79813 | + | 2.19285i | 0.220390 | + | 0.127242i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 27.8444 | + | 10.1345i | 1.61028 | + | 0.586094i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.83615 | + | 3.21891i | −0.221112 | + | 0.185535i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −10.1088 | −0.580733 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −7.07873 | −0.405327 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.83615 | − | 2.37981i | 0.161868 | − | 0.135823i | −0.558256 | − | 0.829669i | \(-0.688529\pi\) |
0.720124 | + | 0.693845i | \(0.244085\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.79086 | − | 2.47167i | −0.386318 | − | 0.140608i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.7724 | − | 8.52887i | −0.837668 | − | 0.483628i | 0.0188027 | − | 0.999823i | \(-0.494015\pi\) |
−0.856471 | + | 0.516195i | \(0.827348\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.35962 | + | 30.3959i | −0.302944 | + | 1.71808i | 0.330085 | + | 0.943951i | \(0.392923\pi\) |
−0.633029 | + | 0.774128i | \(0.718188\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.798133 | − | 0.460802i | 0.0449697 | − | 0.0259633i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.9329 | + | 16.6046i | −0.782549 | + | 0.932605i | −0.999046 | − | 0.0436780i | \(-0.986092\pi\) |
0.216497 | + | 0.976283i | \(0.430537\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −26.3726 | + | 9.59883i | −1.47658 | + | 0.537431i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.04189 | + | 5.90885i | 0.0581526 | + | 0.329800i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.0996702 | + | 13.5387i | −0.00554580 | + | 0.753311i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.6065 | − | 4.16247i | 1.30945 | − | 0.230892i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.74123 | + | 7.53147i | 0.151590 | + | 0.416491i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.12907 | + | 7.66020i | 0.503302 | + | 0.422320i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.32383 | − | 2.29293i | −0.0727640 | − | 0.126031i | 0.827348 | − | 0.561690i | \(-0.189849\pi\) |
−0.900112 | + | 0.435659i | \(0.856515\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 9.43629 | + | 1.66387i | 0.517105 | + | 0.0911796i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.79561 | − | 3.11008i | 0.0981045 | − | 0.169922i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.05556 | − | 22.1325i | 0.438814 | − | 1.20563i | −0.501450 | − | 0.865187i | \(-0.667200\pi\) |
0.940264 | − | 0.340446i | \(-0.110578\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −13.1284 | − | 15.6458i | −0.713034 | − | 0.849761i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 29.8257i | − | 1.61515i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.5211i | 0.730070i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.95336 | + | 3.51968i | 0.159004 | + | 0.189493i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −5.43923 | + | 14.9442i | −0.291993 | + | 0.802244i | 0.703782 | + | 0.710416i | \(0.251493\pi\) |
−0.995775 | + | 0.0918280i | \(0.970729\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.73917 | + | 15.1367i | −0.467797 | + | 0.810248i | −0.999323 | − | 0.0367938i | \(-0.988286\pi\) |
0.531526 | + | 0.847042i | \(0.321619\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.58512 | + | 0.984808i | 0.298112 | + | 0.0525651i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −5.56552 | − | 9.63977i | −0.296223 | − | 0.513073i | 0.679046 | − | 0.734096i | \(-0.262394\pi\) |
−0.975269 | + | 0.221023i | \(0.929060\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.57532 | + | 2.16095i | 0.136684 | + | 0.114691i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.11334 | + | 3.05888i | 0.0589242 | + | 0.161893i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.24304 | − | 1.27714i | 0.382273 | − | 0.0674051i | 0.0207903 | − | 0.999784i | \(-0.493382\pi\) |
0.361483 | + | 0.932379i | \(0.382271\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.7565 | + | 6.76055i | 0.934555 | + | 0.355818i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.42989 | − | 8.10932i | −0.0750499 | − | 0.425629i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 11.2699 | − | 4.10191i | 0.589894 | − | 0.214704i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.682266 | − | 0.813093i | 0.0356140 | − | 0.0424431i | −0.747943 | − | 0.663762i | \(-0.768959\pi\) |
0.783557 | + | 0.621319i | \(0.213403\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6.07145 | − | 3.50535i | 0.316067 | − | 0.182481i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.973841 | − | 5.52293i | 0.0505593 | − | 0.286736i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −16.6723 | − | 9.62576i | −0.863259 | − | 0.498403i | 0.00184317 | − | 0.999998i | \(-0.499413\pi\) |
−0.865102 | + | 0.501595i | \(0.832747\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.62449 | + | 2.77509i | 0.393727 | + | 0.143305i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −27.8011 | + | 23.3279i | −1.43183 | + | 1.20145i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.3651 | −1.09745 | −0.548727 | − | 0.836002i | \(-0.684887\pi\) | ||||
−0.548727 | + | 0.836002i | \(0.684887\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.8726 | 0.557019 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −12.8027 | + | 10.7428i | −0.654188 | + | 0.548929i | −0.908339 | − | 0.418236i | \(-0.862649\pi\) |
0.254150 | + | 0.967165i | \(0.418204\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.79813 | − | 1.38241i | −0.193571 | − | 0.0704540i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.13816 | − | 2.38917i | −0.210354 | − | 0.121448i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.17799 | + | 6.68069i | −0.0597262 | + | 0.338724i | −0.999999 | − | 0.00169891i | \(-0.999459\pi\) |
0.940272 | + | 0.340423i | \(0.110570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −14.0544 | + | 8.11430i | −0.710760 | + | 0.410358i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.02481 | − | 3.60483i | 0.152582 | − | 0.181840i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.82635 | − | 1.39268i | 0.192525 | − | 0.0700732i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.76857 | + | 21.3726i | 0.189139 | + | 1.07266i | 0.920521 | + | 0.390693i | \(0.127765\pi\) |
−0.731382 | + | 0.681968i | \(0.761124\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 4.56805 | + | 0.0336295i | 0.228688 | + | 0.00168358i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.63223 | − | 1.69842i | 0.481010 | − | 0.0848151i | 0.0721149 | − | 0.997396i | \(-0.477025\pi\) |
0.408895 | + | 0.912581i | \(0.365914\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.1912 | − | 36.2425i | −0.657100 | − | 1.80537i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.673648 | + | 0.565258i | 0.0334738 | + | 0.0280879i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −21.0116 | − | 36.3932i | −1.04151 | − | 1.80394i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.51842 | − | 0.267738i | −0.0750810 | − | 0.0132388i | 0.135981 | − | 0.990711i | \(-0.456581\pi\) |
−0.211062 | + | 0.977473i | \(0.567692\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.09627 | − | 5.36289i | 0.152728 | − | 0.264532i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.41463 | + | 14.8766i | −0.266436 | + | 0.732028i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.93242 | − | 4.68647i | −0.193035 | − | 0.230050i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 6.66544i | − | 0.326408i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.1279i | 0.690194i | 0.938567 | + | 0.345097i | \(0.112154\pi\) | ||||
−0.938567 | + | 0.345097i | \(0.887846\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.3285 | + | 12.3090i | 0.503379 | + | 0.599903i | 0.956567 | − | 0.291511i | \(-0.0941581\pi\) |
−0.453189 | + | 0.891415i | \(0.649714\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.88919 | + | 10.6854i | −0.189099 | + | 0.519544i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.56418 | + | 11.3695i | −0.318409 | + | 0.551501i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.30793 | − | 1.46491i | −0.402049 | − | 0.0708921i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −12.4363 | − | 21.5403i | −0.600430 | − | 1.03997i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.0155 | − | 8.40399i | −0.482429 | − | 0.404806i | 0.368875 | − | 0.929479i | \(-0.379743\pi\) |
−0.851304 | + | 0.524673i | \(0.824188\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.853388 | − | 2.34466i | −0.0410112 | − | 0.112677i | 0.917497 | − | 0.397744i | \(-0.130207\pi\) |
−0.958508 | + | 0.285066i | \(0.907984\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.54189 | + | 0.977185i | −0.265713 | + | 0.0468524i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.78952 | + | 22.4569i | 0.181277 | + | 1.07426i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.02616 | + | 5.81964i | 0.0489759 | + | 0.277756i | 0.999454 | − | 0.0330348i | \(-0.0105172\pi\) |
−0.950478 | + | 0.310791i | \(0.899406\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −5.54576 | + | 2.01849i | −0.264084 | + | 0.0961186i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −10.4838 | + | 12.4941i | −0.498101 | + | 0.593613i | −0.955258 | − | 0.295772i | \(-0.904423\pi\) |
0.457158 | + | 0.889386i | \(0.348867\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.77631 | + | 3.91231i | −0.321228 | + | 0.185461i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −0.0432332 | + | 0.245188i | −0.00204486 | + | 0.0115970i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 12.6218 | + | 7.28720i | 0.595659 | + | 0.343904i | 0.767332 | − | 0.641250i | \(-0.221584\pi\) |
−0.171673 | + | 0.985154i | \(0.554917\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.8926 | − | 10.5161i | −1.36050 | − | 0.495182i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −11.6591 | + | 9.78315i | −0.547792 | + | 0.459652i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.22668 | −0.245031 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.9813 | 0.560463 | 0.280232 | − | 0.959932i | \(-0.409589\pi\) | ||||
0.280232 | + | 0.959932i | \(0.409589\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −2.37939 | + | 1.99654i | −0.111060 | + | 0.0931906i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −28.0719 | − | 10.2173i | −1.30744 | − | 0.475869i | −0.408027 | − | 0.912970i | \(-0.633783\pi\) |
−0.899413 | + | 0.437101i | \(0.856005\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.5079 | − | 6.64409i | −0.534818 | − | 0.308777i | 0.208158 | − | 0.978095i | \(-0.433253\pi\) |
−0.742976 | + | 0.669318i | \(0.766586\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.03849 | − | 5.88954i | 0.0481586 | − | 0.273121i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −19.3571 | + | 11.1758i | −0.895740 | + | 0.517156i | −0.875816 | − | 0.482646i | \(-0.839676\pi\) |
−0.0199241 | + | 0.999801i | \(0.506342\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 2.75103 | − | 3.27855i | 0.127031 | − | 0.151389i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.6912 | + | 3.89127i | −0.492624 | + | 0.179300i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.63903 | + | 20.6380i | 0.167323 | + | 0.948935i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.7383 | + | 14.2002i | 0.538590 | + | 0.651548i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.26991 | − | 0.929228i | 0.241293 | − | 0.0425464i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.16234 | − | 11.4359i | −0.190182 | − | 0.522521i | 0.807552 | − | 0.589796i | \(-0.200792\pi\) |
−0.997734 | + | 0.0672746i | \(0.978570\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −41.6279 | − | 34.9300i | −1.89807 | − | 1.59267i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.73783 | + | 4.74205i | 0.124575 | + | 0.215771i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −2.92855 | − | 0.516382i | −0.132979 | − | 0.0234477i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.92380 | − | 8.52827i | 0.223119 | − | 0.386453i | −0.732635 | − | 0.680622i | \(-0.761710\pi\) |
0.955753 | + | 0.294169i | \(0.0950429\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.69800 | + | 7.41268i | −0.122008 | + | 0.335213i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 25.2973 | + | 30.1481i | 1.14165 | + | 1.36056i | 0.923018 | + | 0.384757i | \(0.125715\pi\) |
0.218631 | + | 0.975808i | \(0.429841\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 19.8764i | − | 0.895189i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 3.85673i | − | 0.173347i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.57532 | + | 3.06915i | 0.115519 | + | 0.137670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −5.79544 | + | 15.9229i | −0.259440 | + | 0.712805i | 0.739762 | + | 0.672868i | \(0.234938\pi\) |
−0.999202 | + | 0.0399367i | \(0.987284\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.879385 | − | 1.52314i | 0.0392880 | − | 0.0680489i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −12.4547 | − | 2.19610i | −0.555328 | − | 0.0979193i | −0.111061 | − | 0.993814i | \(-0.535425\pi\) |
−0.444267 | + | 0.895894i | \(0.646536\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.44475 | + | 7.69852i | 0.197789 | + | 0.342580i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −14.6800 | − | 12.3180i | −0.651964 | − | 0.547062i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.703678 | − | 1.93334i | −0.0311900 | − | 0.0856937i | 0.923120 | − | 0.384511i | \(-0.125630\pi\) |
−0.954310 | + | 0.298818i | \(0.903408\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.0758 | − | 2.48194i | 0.622676 | − | 0.109795i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.46064 | + | 4.10689i | 0.0644887 | + | 0.181324i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.10354 | + | 6.25849i | 0.0486278 | + | 0.275782i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 46.8632 | − | 17.0568i | 2.06104 | − | 0.750158i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.45424 | − | 2.92485i | 0.107729 | − | 0.128387i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −25.8460 | + | 14.9222i | −1.13233 | + | 0.653753i | −0.944521 | − | 0.328451i | \(-0.893473\pi\) |
−0.187813 | + | 0.982205i | \(0.560140\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.18644 | − | 35.0851i | 0.270514 | − | 1.53416i | −0.482345 | − | 0.875981i | \(-0.660215\pi\) |
0.752860 | − | 0.658181i | \(-0.228674\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.83615 | + | 2.21480i | 0.167423 | + | 0.0966619i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 19.8494 | + | 7.22460i | 0.864654 | + | 0.314708i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.29292 | + | 2.76309i | −0.143170 | + | 0.120134i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −15.1061 | −0.655547 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −39.7597 | −1.72218 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.04189 | − | 3.39155i | 0.174746 | − | 0.146629i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 18.8011 | + | 6.84305i | 0.811328 | + | 0.295299i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 22.4153 | + | 12.9415i | 0.965497 | + | 0.557430i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.92097 | + | 10.8944i | −0.0825889 | + | 0.468385i | 0.915262 | + | 0.402859i | \(0.131984\pi\) |
−0.997851 | + | 0.0655259i | \(0.979128\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.52956 | + | 3.76984i | −0.280210 | + | 0.161780i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 4.53044 | − | 5.39917i | 0.194063 | − | 0.231275i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.0398 | + | 9.11375i | −1.07063 | + | 0.389676i | −0.816411 | − | 0.577472i | \(-0.804039\pi\) |
−0.254215 | + | 0.967148i | \(0.581817\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.39780 | − | 7.92734i | −0.0596568 | − | 0.338331i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −26.1404 | − | 9.73286i | −1.11362 | − | 0.414634i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.77900 | − | 0.842667i | 0.203224 | − | 0.0358338i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.88191 | − | 7.91799i | −0.122330 | − | 0.336100i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −22.6655 | − | 19.0186i | −0.960368 | − | 0.805844i | 0.0206450 | − | 0.999787i | \(-0.493428\pi\) |
−0.981013 | + | 0.193942i | \(0.937872\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.5496 | + | 23.4686i | 0.573088 | + | 0.992618i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.4153 | + | 2.36549i | 0.566396 | + | 0.0998709i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6.79473 | + | 11.7688i | −0.286364 | + | 0.495997i | −0.972939 | − | 0.231062i | \(-0.925780\pi\) |
0.686575 | + | 0.727059i | \(0.259113\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.14290 | + | 16.8775i | −0.258434 | + | 0.710041i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.673648 | + | 0.802823i | 0.0282906 | + | 0.0337154i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 28.9965i | 1.21560i | 0.794091 | + | 0.607799i | \(0.207947\pi\) | ||||
−0.794091 | + | 0.607799i | \(0.792053\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 16.3619i | − | 0.684725i | −0.939568 | − | 0.342362i | \(-0.888773\pi\) | ||
0.939568 | − | 0.342362i | \(-0.111227\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 3.22416 | + | 3.84240i | 0.134691 | + | 0.160519i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −7.55303 | + | 20.7518i | −0.314983 | + | 0.865409i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.09920 | + | 1.90388i | −0.0457604 | + | 0.0792594i | −0.887998 | − | 0.459847i | \(-0.847904\pi\) |
0.842238 | + | 0.539106i | \(0.181238\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.86231 | + | 1.03368i | 0.243629 | + | 0.0429584i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.64543 | − | 6.31407i | −0.151238 | − | 0.261952i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −17.9782 | − | 15.0855i | −0.744580 | − | 0.624777i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.70574 | − | 4.68647i | −0.0705235 | − | 0.193762i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −25.9231 | + | 4.57094i | −1.06996 | + | 0.188663i | −0.680772 | − | 0.732495i | \(-0.738356\pi\) |
−0.389188 | + | 0.921158i | \(0.627244\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.2211 | − | 22.5673i | 0.791990 | − | 0.929868i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.18820 | − | 23.7524i | −0.172279 | − | 0.977045i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.84167 | + | 2.12619i | −0.239889 | + | 0.0873123i | −0.459167 | − | 0.888350i | \(-0.651852\pi\) |
0.219278 | + | 0.975662i | \(0.429630\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.84002 | − | 2.19285i | 0.0754336 | − | 0.0898982i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 21.5326 | − | 12.4318i | 0.881269 | − | 0.508801i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.34952 | − | 7.65350i | 0.0551398 | − | 0.312713i | −0.944746 | − | 0.327802i | \(-0.893692\pi\) |
0.999886 | + | 0.0150889i | \(0.00480313\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.34090 | + | 0.774169i | 0.0546964 | + | 0.0315790i | 0.527099 | − | 0.849804i | \(-0.323280\pi\) |
−0.472402 | + | 0.881383i | \(0.656613\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.83750 | + | 1.39673i | 0.156275 | + | 0.0568794i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.54710 | + | 4.65457i | −0.225522 | + | 0.189235i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.46110 | −0.0998931 | −0.0499466 | − | 0.998752i | \(-0.515905\pi\) | ||||
−0.0499466 | + | 0.998752i | \(0.515905\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −6.70645 | −0.271759 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 49.4017 | − | 41.4530i | 1.99858 | − | 1.67701i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.1686 | − | 4.42901i | −0.491485 | − | 0.178886i | 0.0843753 | − | 0.996434i | \(-0.473111\pi\) |
−0.575860 | + | 0.817548i | \(0.695333\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.33915 | − | 3.08256i | −0.215295 | − | 0.124301i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −7.56805 | + | 42.9205i | −0.304678 | + | 1.72792i | 0.320338 | + | 0.947303i | \(0.396204\pi\) |
−0.625016 | + | 0.780612i | \(0.714907\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.0956 | − | 12.7569i | 0.888095 | − | 0.512742i | 0.0147762 | − | 0.999891i | \(-0.495296\pi\) |
0.873319 | + | 0.487149i | \(0.161963\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.35844 | + | 4.00243i | −0.134770 | + | 0.160612i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.76264 | + | 3.18934i | −0.351068 | + | 0.127778i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 2.43077 | + | 13.7856i | 0.0972308 | + | 0.551423i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 9.68004 | − | 16.4849i | 0.386584 | − | 0.658342i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 29.3097 | − | 5.16810i | 1.16866 | − | 0.206066i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.07057 | + | 22.1737i | 0.321284 | + | 0.882722i | 0.990234 | + | 0.139414i | \(0.0445219\pi\) |
−0.668950 | + | 0.743308i | \(0.733256\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.94356 | − | 1.63084i | −0.0772497 | − | 0.0648202i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −4.78059 | − | 8.28023i | −0.189712 | − | 0.328591i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 32.9616 | + | 5.81201i | 1.30598 | + | 0.230280i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.91147 | + | 3.31077i | −0.0756167 | + | 0.130972i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.47272 | + | 26.0261i | −0.374150 | + | 1.02797i | 0.599591 | + | 0.800307i | \(0.295330\pi\) |
−0.973740 | + | 0.227661i | \(0.926892\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.3833 | + | 18.3331i | 0.606656 | + | 0.722985i | 0.978715 | − | 0.205224i | \(-0.0657924\pi\) |
−0.372059 | + | 0.928209i | \(0.621348\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.20199i | 0.165453i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 2.85382i | − | 0.112195i | −0.998425 | − | 0.0560975i | \(-0.982134\pi\) | ||
0.998425 | − | 0.0560975i | \(-0.0178658\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 42.5852 | + | 50.7510i | 1.67161 | + | 1.99215i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.43763 | − | 6.69734i | 0.0955384 | − | 0.262490i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.06283 | − | 5.30498i | 0.119858 | − | 0.207600i | −0.799853 | − | 0.600196i | \(-0.795089\pi\) |
0.919711 | + | 0.392596i | \(0.128423\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.07532 | − | 0.718589i | −0.159236 | − | 0.0280776i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.81908 | + | 11.8110i | 0.266038 | + | 0.460791i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 35.0009 | + | 29.3693i | 1.36344 | + | 1.14406i | 0.974902 | + | 0.222633i | \(0.0714650\pi\) |
0.388540 | + | 0.921432i | \(0.372979\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.3858 | − | 31.2822i | −0.442856 | − | 1.21674i | −0.937606 | − | 0.347700i | \(-0.886963\pi\) |
0.494750 | − | 0.869035i | \(-0.335260\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 17.3478 | − | 3.05888i | 0.673731 | − | 0.118797i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.98293 | − | 3.49367i | −0.0768946 | − | 0.135479i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.80587 | − | 32.9267i | −0.224804 | − | 1.27493i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.9884 | − | 7.63917i | 0.811460 | − | 0.295347i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.6925 | + | 27.0439i | −0.876036 | + | 1.04402i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.1716 | − | 12.8008i | 0.854652 | − | 0.493434i | −0.00756578 | − | 0.999971i | \(-0.502408\pi\) |
0.862218 | + | 0.506538i | \(0.169075\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.733956 | + | 4.16247i | −0.0282500 | + | 0.160213i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −18.0831 | − | 10.4403i | −0.694989 | − | 0.401252i | 0.110490 | − | 0.993877i | \(-0.464758\pi\) |
−0.805478 | + | 0.592625i | \(0.798091\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.33022 | − | 1.21210i | −0.127802 | − | 0.0465162i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.97771 | + | 1.65950i | −0.0757861 | + | 0.0635921i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −3.65808 | −0.139973 | −0.0699863 | − | 0.997548i | \(-0.522296\pi\) | ||||
−0.0699863 | + | 0.997548i | \(0.522296\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.44562 | −0.208067 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.95858 | + | 3.32164i | −0.151029 | + | 0.126729i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −28.5180 | − | 10.3797i | −1.08645 | − | 0.395435i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −38.9097 | − | 22.4645i | −1.48020 | − | 0.854591i | −0.480447 | − | 0.877024i | \(-0.659526\pi\) |
−0.999748 | + | 0.0224324i | \(0.992859\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.798133 | − | 4.52644i | 0.0303186 | − | 0.171945i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.07620 | + | 2.93075i | −0.192551 | + | 0.111169i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 13.9972 | − | 16.6812i | 0.530181 | − | 0.631845i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 8.12361 | − | 2.95675i | 0.307263 | − | 0.111835i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.28905 | + | 7.31056i | 0.0486867 | + | 0.276116i | 0.999426 | − | 0.0338754i | \(-0.0107849\pi\) |
−0.950739 | + | 0.309991i | \(0.899674\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.55525 | − | 41.0773i | 0.284952 | − | 1.54926i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 9.84776 | − | 1.73643i | 0.370888 | − | 0.0653976i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.62339 | + | 9.95518i | 0.136272 | + | 0.374403i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −38.9673 | − | 32.6974i | −1.46345 | − | 1.22798i | −0.921970 | − | 0.387260i | \(-0.873421\pi\) |
−0.541475 | − | 0.840717i | \(-0.682134\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.31521 | + | 4.01006i | 0.0868271 | + | 0.150389i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 34.9923 | + | 6.17009i | 1.31047 | + | 0.231072i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.9363 | + | 18.9422i | −0.408994 | + | 0.708398i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.20321 | + | 3.30579i | −0.0449347 | + | 0.123457i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 24.6246 | + | 29.3465i | 0.918344 | + | 1.09444i | 0.995245 | + | 0.0974015i | \(0.0310531\pi\) |
−0.0769008 | + | 0.997039i | \(0.524502\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.57364i | 0.282057i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 15.2245i | 0.566205i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −17.3858 | − | 20.7196i | −0.645692 | − | 0.769505i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.8712 | + | 38.1109i | −0.514456 | + | 1.41346i | 0.362093 | + | 0.932142i | \(0.382062\pi\) |
−0.876549 | + | 0.481313i | \(0.840160\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −14.6163 | − | 2.57725i | −0.540605 | − | 0.0953232i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.55391 | − | 7.88760i | −0.168203 | − | 0.291335i | 0.769585 | − | 0.638544i | \(-0.220463\pi\) |
−0.937788 | + | 0.347209i | \(0.887130\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.97565 | + | 3.33597i | 0.146644 | + | 0.123049i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.12567 | − | 16.8301i | −0.225642 | − | 0.619946i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 34.0087 | − | 5.99665i | 1.25103 | − | 0.220590i | 0.491393 | − | 0.870938i | \(-0.336488\pi\) |
0.759637 | + | 0.650348i | \(0.225377\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.47178 | − | 24.3127i | 0.164275 | − | 0.893150i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.02094 | − | 11.4613i | −0.0741413 | − | 0.420476i | −0.999176 | − | 0.0405929i | \(-0.987075\pi\) |
0.925035 | − | 0.379883i | \(-0.124036\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.205737 | − | 0.0748822i | 0.00753762 | − | 0.00274347i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.47178 | − | 5.32926i | 0.163614 | − | 0.194987i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 5.44562 | − | 3.14403i | 0.198979 | − | 0.114880i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.805874 | + | 4.57034i | −0.0294068 | + | 0.166774i | −0.995974 | − | 0.0896375i | \(-0.971429\pi\) |
0.966568 | + | 0.256412i | \(0.0825402\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −15.0715 | − | 8.70151i | −0.549234 | − | 0.317101i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 12.5770 | + | 4.57764i | 0.457723 | + | 0.166597i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.7131 | + | 34.1623i | −1.47974 | + | 1.24165i | −0.573282 | + | 0.819358i | \(0.694330\pi\) |
−0.906460 | + | 0.422292i | \(0.861226\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 22.9145 | 0.831742 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 19.7324 | 0.715298 | 0.357649 | − | 0.933856i | \(-0.383578\pi\) | ||||
0.357649 | + | 0.933856i | \(0.383578\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.43448 | − | 5.39917i | 0.232944 | − | 0.195463i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.56670 | + | 0.934204i | 0.0927994 | + | 0.0337762i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 74.1931 | + | 42.8354i | 2.67896 | + | 1.54670i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.18155 | − | 23.7148i | 0.150791 | − | 0.855176i | −0.811743 | − | 0.584014i | \(-0.801481\pi\) |
0.962534 | − | 0.271161i | \(-0.0874077\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.4347 | + | 15.8394i | −0.988036 | + | 0.570443i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −26.9247 | + | 32.0876i | −0.968415 | + | 1.15411i | 0.0196079 | + | 0.999808i | \(0.493758\pi\) |
−0.988023 | + | 0.154305i | \(0.950686\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.0107 | − | 9.83110i | 0.970254 | − | 0.353144i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.74376 | − | 9.88933i | −0.0625569 | − | 0.354778i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −15.0842 | − | 26.5766i | −0.540449 | − | 0.952206i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.5116 | − | 2.91144i | 0.590832 | − | 0.104180i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.18866 | − | 6.01330i | −0.0782164 | − | 0.214898i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.66431 | + | 6.43112i | 0.273551 | + | 0.229537i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −8.76011 | − | 15.1730i | −0.312264 | − | 0.540858i | 0.666588 | − | 0.745426i | \(-0.267754\pi\) |
−0.978852 | + | 0.204569i | \(0.934421\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.50980 | + | 0.266219i | 0.0537503 | + | 0.00947763i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −10.7023 | + | 18.5370i | −0.380531 | + | 0.659099i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.6138 | + | 42.8986i | −0.554463 | + | 1.52337i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.02481 | − | 3.60483i | −0.107279 | − | 0.127850i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − | 39.9751i | − | 1.41599i | −0.706216 | − | 0.707996i | \(-0.749599\pi\) | ||
0.706216 | − | 0.707996i | \(-0.250401\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 35.3198i | 1.24952i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.71941 | − | 6.81612i | −0.202085 | − | 0.240836i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 20.4572 | − | 56.2058i | 0.721920 | − | 1.98346i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.40760 | − | 4.17009i | 0.0848569 | − | 0.146976i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 22.9709 | + | 4.05039i | 0.808614 | + | 0.142580i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −19.8418 | − | 34.3671i | −0.697602 | − | 1.20828i | −0.969296 | − | 0.245898i | \(-0.920917\pi\) |
0.271694 | − | 0.962384i | \(-0.412416\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.4918 | + | 26.4248i | 1.10583 | + | 0.927900i | 0.997803 | − | 0.0662480i | \(-0.0211028\pi\) |
0.108025 | + | 0.994148i | \(0.465547\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.75237 | − | 21.2995i | −0.271888 | − | 0.747005i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.83157 | − | 1.20459i | 0.239299 | − | 0.0421949i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.5466 | + | 17.9606i | −0.368980 | + | 0.628364i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.03209 | − | 5.85327i | −0.0360641 | − | 0.204530i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 24.0993 | − | 8.77141i | 0.841070 | − | 0.306124i | 0.114676 | − | 0.993403i | \(-0.463417\pi\) |
0.726394 | + | 0.687279i | \(0.241195\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.80928 | + | 3.34797i | −0.0979253 | + | 0.116703i | −0.812781 | − | 0.582569i | \(-0.802048\pi\) |
0.714856 | + | 0.699271i | \(0.246492\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 16.0535 | − | 9.26849i | 0.558911 | − | 0.322687i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.64125 | + | 20.6506i | −0.126619 | + | 0.718091i | 0.853714 | + | 0.520742i | \(0.174344\pi\) |
−0.980333 | + | 0.197349i | \(0.936767\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 28.6038 | + | 16.5144i | 0.993453 | + | 0.573570i | 0.906305 | − | 0.422625i | \(-0.138891\pi\) |
0.0871481 | + | 0.996195i | \(0.472225\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −20.2875 | − | 7.38403i | −0.703764 | − | 0.256149i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −14.0424 | + | 11.7829i | −0.486539 | + | 0.408255i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.54664 | −0.0535236 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.80066 | 0.235065 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 26.9702 | − | 22.6307i | 0.931114 | − | 0.781298i | −0.0449028 | − | 0.998991i | \(-0.514298\pi\) |
0.976017 | + | 0.217694i | \(0.0698534\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.2294 | + | 4.08716i | 0.387220 | + | 0.140936i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −23.5813 | − | 13.6147i | −0.812183 | − | 0.468914i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.92633 | + | 16.5960i | −0.100669 | + | 0.570921i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.47359 | + | 4.31488i | −0.256796 | + | 0.148261i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −16.4996 | + | 19.6634i | −0.566264 | + | 0.674848i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 47.0442 | − | 17.1227i | 1.61265 | − | 0.586958i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −8.14755 | − | 46.2070i | −0.278967 | − | 1.58210i | −0.726073 | − | 0.687618i | \(-0.758657\pi\) |
0.447106 | − | 0.894481i | \(-0.352455\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.48545 | − | 2.91815i | 0.0850007 | − | 0.0997985i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 14.3846 | − | 2.53639i | 0.491369 | − | 0.0866415i | 0.0775266 | − | 0.996990i | \(-0.475298\pi\) |
0.413842 | + | 0.910349i | \(0.364187\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 12.1009 | + | 33.2468i | 0.412876 | + | 1.13437i | 0.955654 | + | 0.294491i | \(0.0951501\pi\) |
−0.542779 | + | 0.839876i | \(0.682628\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.62836 | − | 4.72275i | −0.191814 | − | 0.160951i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −16.8366 | − | 29.1619i | −0.573125 | − | 0.992682i | −0.996243 | − | 0.0866070i | \(-0.972398\pi\) |
0.423117 | − | 0.906075i | \(-0.360936\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.30659 | − | 0.583041i | −0.112427 | − | 0.0198240i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 3.67617 | − | 6.36732i | 0.124849 | − | 0.216246i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.94562 | − | 19.0829i | 0.235614 | − | 0.647344i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14.8871 | − | 17.7418i | −0.504431 | − | 0.601157i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − | 3.38160i | − | 0.114450i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 8.50336i | − | 0.287466i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.80587 | − | 6.91917i | −0.196050 | − | 0.233644i | 0.659059 | − | 0.752091i | \(-0.270955\pi\) |
−0.855110 | + | 0.518447i | \(0.826510\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −6.59879 | + | 18.1300i | −0.222572 | + | 0.611511i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.43330 | + | 11.1428i | −0.216743 | + | 0.375410i | −0.953810 | − | 0.300409i | \(-0.902877\pi\) |
0.737067 | + | 0.675819i | \(0.236210\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 14.7078 | + | 2.59338i | 0.494957 | + | 0.0872742i | 0.415554 | − | 0.909568i | \(-0.363588\pi\) |
0.0794025 | + | 0.996843i | \(0.474699\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 6.64203 | + | 11.5043i | 0.223269 | + | 0.386714i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −13.9185 | − | 11.6790i | −0.467337 | − | 0.392143i | 0.378485 | − | 0.925608i | \(-0.376445\pi\) |
−0.845822 | + | 0.533465i | \(0.820890\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.89717 | − | 10.7074i | −0.130707 | − | 0.359115i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.31908 | − | 0.761570i | 0.144695 | − | 0.0255136i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 46.4507 | + | 17.2950i | 1.55441 | + | 0.578755i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.05525 | − | 17.3272i | −0.102126 | − | 0.579185i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 27.8444 | − | 10.1345i | 0.929696 | − | 0.338382i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −27.9734 | + | 33.3374i | −0.932966 | + | 1.11187i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.3944 | − | 8.31061i | 0.479547 | − | 0.276867i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −0.869585 | + | 4.93166i | −0.0289380 | + | 0.164115i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 5.74200 | + | 3.31515i | 0.190871 | + | 0.110199i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.6186 | + | 5.68469i | 0.518606 | + | 0.188757i | 0.588044 | − | 0.808829i | \(-0.299898\pi\) |
−0.0694379 | + | 0.997586i | \(0.522121\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −7.74376 | + | 6.49778i | −0.256844 | + | 0.215518i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.37464 | 0.310596 | 0.155298 | − | 0.987868i | \(-0.450366\pi\) | ||||
0.155298 | + | 0.987868i | \(0.450366\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −30.5107 | −1.00976 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.42262 | + | 4.55012i | −0.179266 | + | 0.150422i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −4.63429 | − | 1.68674i | −0.153038 | − | 0.0557011i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 34.1072 | + | 19.6918i | 1.12509 | + | 0.649572i | 0.942696 | − | 0.333653i | \(-0.108281\pi\) |
0.182396 | + | 0.983225i | \(0.441615\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.642903 | − | 3.64609i | 0.0211844 | − | 0.120143i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 18.7763 | − | 10.8405i | 0.618030 | − | 0.356820i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 26.0326 | − | 31.0244i | 0.855945 | − | 1.02008i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −6.79086 | + | 2.47167i | −0.223041 | + | 0.0811803i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −9.04804 | − | 51.3140i | −0.296856 | − | 1.68356i | −0.659560 | − | 0.751652i | \(-0.729257\pi\) |
0.362703 | − | 0.931905i | \(-0.381854\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.62020 | + | 24.2375i | 0.282516 | + | 0.794353i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −16.7986 | + | 2.96205i | −0.549961 | + | 0.0969730i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −4.09714 | − | 11.2568i | −0.133991 | − | 0.368137i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.21024 | − | 1.85461i | −0.0722053 | − | 0.0605874i | 0.605971 | − | 0.795487i | \(-0.292785\pi\) |
−0.678176 | + | 0.734900i | \(0.737229\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.4324 | + | 26.7297i | 0.503618 | + | 0.872292i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −30.5424 | − | 5.38544i | −0.995652 | − | 0.175560i | −0.347999 | − | 0.937495i | \(-0.613139\pi\) |
−0.647654 | + | 0.761935i | \(0.724250\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 18.3148 | − | 31.7222i | 0.596412 | − | 1.03302i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.315207 | − | 0.866025i | 0.0102537 | − | 0.0281718i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 33.4749 | + | 39.8939i | 1.08779 | + | 1.29638i | 0.952154 | + | 0.305618i | \(0.0988630\pi\) |
0.135635 | + | 0.990759i | \(0.456693\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 77.3458i | − | 2.51075i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 21.6757i | 0.702883i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 5.62418 | + | 6.70264i | 0.182185 | + | 0.217120i | 0.849406 | − | 0.527740i | \(-0.176961\pi\) |
−0.667221 | + | 0.744860i | \(0.732516\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.50862 | − | 4.14489i | 0.0488177 | − | 0.134126i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −14.0326 | + | 24.3051i | −0.453608 | + | 0.785672i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −6.39124 | − | 1.12695i | −0.206384 | − | 0.0363911i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.62449 | − | 13.2060i | −0.245951 | − | 0.426000i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.59627 | + | 3.85673i | 0.148113 | + | 0.124281i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.79039 | − | 4.91906i | −0.0576348 | − | 0.158350i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 45.9320 | − | 8.09905i | 1.47707 | − | 0.260448i | 0.623666 | − | 0.781691i | \(-0.285643\pi\) |
0.853408 | + | 0.521243i | \(0.174532\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.62613 | + | 10.4353i | 0.277111 | + | 0.335230i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.25372 | + | 29.7953i | 0.168600 | + | 0.956177i | 0.945275 | + | 0.326276i | \(0.105794\pi\) |
−0.776675 | + | 0.629902i | \(0.783095\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −6.56418 | + | 2.38917i | −0.210438 | + | 0.0765931i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 15.4081 | − | 18.3626i | 0.493453 | − | 0.588075i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 7.31150 | − | 4.22130i | 0.233916 | − | 0.135051i | −0.378462 | − | 0.925617i | \(-0.623547\pi\) |
0.612377 | + | 0.790566i | \(0.290213\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.77631 | + | 38.4304i | −0.216572 | + | 1.22824i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 6.94104 | + | 4.00741i | 0.221610 | + | 0.127947i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −12.2892 | − | 4.47291i | −0.391965 | − | 0.142664i | 0.138516 | − | 0.990360i | \(-0.455767\pi\) |
−0.530481 | + | 0.847697i | \(0.677989\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.2476 | + | 13.6334i | −0.517692 | + | 0.434396i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 11.9172 | 0.379327 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −24.9659 | −0.793868 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.7556 | − | 10.7032i | 0.405195 | − | 0.339999i | −0.417302 | − | 0.908768i | \(-0.637024\pi\) |
0.822498 | + | 0.568768i | \(0.192580\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.48798 | − | 0.905550i | −0.0789536 | − | 0.0287368i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.9354 | − | 10.9324i | −0.600293 | − | 0.346579i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.364533 | + | 2.06737i | −0.0115449 | + | 0.0654742i | −0.990036 | − | 0.140815i | \(-0.955028\pi\) |
0.978491 | + | 0.206289i | \(0.0661388\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 8.29813 | − | 4.79093i | 0.262541 | − | 0.151578i |
(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.ci.a.751.1 | ✓ | 6 | |
4.3 | odd | 2 | 912.2.ci.b.751.1 | yes | 6 | ||
19.2 | odd | 18 | 912.2.ci.b.895.1 | yes | 6 | ||
76.59 | even | 18 | inner | 912.2.ci.a.895.1 | yes | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
912.2.ci.a.751.1 | ✓ | 6 | 1.1 | even | 1 | trivial | |
912.2.ci.a.895.1 | yes | 6 | 76.59 | even | 18 | inner | |
912.2.ci.b.751.1 | yes | 6 | 4.3 | odd | 2 | ||
912.2.ci.b.895.1 | yes | 6 | 19.2 | odd | 18 |