Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), 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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 125.3 | ||
Character | \(\chi\) | \(=\) | 162.125 |
Dual form | 162.3.f.a.35.3 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.909039 | − | 1.08335i | −0.454519 | − | 0.541675i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.347296 | + | 1.96962i | −0.0868241 | + | 0.492404i | ||||
\(5\) | 1.07911 | + | 2.96482i | 0.215822 | + | 0.592965i | 0.999606 | − | 0.0280680i | \(-0.00893551\pi\) |
−0.783784 | + | 0.621033i | \(0.786713\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.250410 | − | 1.42015i | −0.0357728 | − | 0.202878i | 0.961683 | − | 0.274163i | \(-0.0884009\pi\) |
−0.997456 | + | 0.0712856i | \(0.977290\pi\) | |||||||
\(8\) | 2.44949 | − | 1.41421i | 0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.23099 | − | 3.86419i | 0.223099 | − | 0.386419i | ||||
\(11\) | −6.39485 | + | 17.5697i | −0.581350 | + | 1.59725i | 0.204526 | + | 0.978861i | \(0.434435\pi\) |
−0.785876 | + | 0.618385i | \(0.787787\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 10.5936 | + | 8.88908i | 0.814891 | + | 0.683775i | 0.951770 | − | 0.306813i | \(-0.0992625\pi\) |
−0.136879 | + | 0.990588i | \(0.543707\pi\) | |||||||
\(14\) | −1.31088 | + | 1.56225i | −0.0936345 | + | 0.111589i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75877 | − | 1.36808i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 16.3520 | + | 9.44086i | 0.961885 | + | 0.555345i | 0.896753 | − | 0.442532i | \(-0.145920\pi\) |
0.0651325 | + | 0.997877i | \(0.479253\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.14343 | − | 1.98047i | −0.0601804 | − | 0.104236i | 0.834366 | − | 0.551212i | \(-0.185834\pi\) |
−0.894546 | + | 0.446976i | \(0.852501\pi\) | |||||||
\(20\) | −6.21434 | + | 1.09575i | −0.310717 | + | 0.0547877i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 24.8473 | − | 9.04368i | 1.12942 | − | 0.411077i | ||||
\(23\) | 26.5788 | + | 4.68656i | 1.15560 | + | 0.203763i | 0.718419 | − | 0.695610i | \(-0.244866\pi\) |
0.437181 | + | 0.899374i | \(0.355977\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 11.5254 | − | 9.67096i | 0.461016 | − | 0.386838i | ||||
\(26\) | − | 19.5571i | − | 0.752196i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.88411 | 0.103004 | ||||||||
\(29\) | −17.2495 | − | 20.5571i | −0.594809 | − | 0.708865i | 0.381714 | − | 0.924281i | \(-0.375334\pi\) |
−0.976523 | + | 0.215415i | \(0.930890\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.55767 | + | 25.8478i | −0.147022 | + | 0.833801i | 0.818700 | + | 0.574221i | \(0.194695\pi\) |
−0.965722 | + | 0.259580i | \(0.916416\pi\) | |||||||
\(32\) | 1.93476 | + | 5.31570i | 0.0604612 | + | 0.166116i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4.63689 | − | 26.2971i | −0.136379 | − | 0.773444i | ||||
\(35\) | 3.94026 | − | 2.27491i | 0.112579 | − | 0.0649975i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −33.8611 | + | 58.6492i | −0.915166 | + | 1.58511i | −0.108507 | + | 0.994096i | \(0.534607\pi\) |
−0.806659 | + | 0.591018i | \(0.798726\pi\) | |||||||
\(38\) | −1.10613 | + | 3.03906i | −0.0291086 | + | 0.0799753i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.83616 | + | 5.73622i | 0.170904 | + | 0.143405i | ||||
\(41\) | 13.0402 | − | 15.5407i | 0.318053 | − | 0.379041i | −0.583204 | − | 0.812326i | \(-0.698201\pi\) |
0.901257 | + | 0.433285i | \(0.142646\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −32.2609 | − | 11.7420i | −0.750254 | − | 0.273070i | −0.0615413 | − | 0.998105i | \(-0.519602\pi\) |
−0.688713 | + | 0.725034i | \(0.741824\pi\) | |||||||
\(44\) | −32.3847 | − | 18.6973i | −0.736015 | − | 0.424938i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −19.0840 | − | 33.0544i | −0.414869 | − | 0.718574i | ||||
\(47\) | −46.4969 | + | 8.19866i | −0.989296 | + | 0.174440i | −0.644803 | − | 0.764349i | \(-0.723060\pi\) |
−0.344494 | + | 0.938789i | \(0.611949\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 44.0908 | − | 16.0478i | 0.899813 | − | 0.327505i | ||||
\(50\) | −20.9541 | − | 3.69477i | −0.419081 | − | 0.0738954i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −21.1872 | + | 17.7782i | −0.407446 | + | 0.341888i | ||||
\(53\) | − | 49.0655i | − | 0.925765i | −0.886420 | − | 0.462882i | \(-0.846815\pi\) | ||
0.886420 | − | 0.462882i | \(-0.153185\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −58.9918 | −1.07258 | ||||||||
\(56\) | −2.62176 | − | 3.12450i | −0.0468172 | − | 0.0557946i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.59012 | + | 37.3744i | −0.113623 | + | 0.644386i | ||||
\(59\) | 13.0684 | + | 35.9050i | 0.221498 | + | 0.608560i | 0.999813 | − | 0.0193130i | \(-0.00614791\pi\) |
−0.778316 | + | 0.627873i | \(0.783926\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.55898 | − | 54.2117i | −0.156705 | − | 0.888716i | −0.957211 | − | 0.289391i | \(-0.906547\pi\) |
0.800506 | − | 0.599324i | \(-0.204564\pi\) | |||||||
\(62\) | 32.1454 | − | 18.5591i | 0.518474 | − | 0.299341i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | − | 6.92820i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −14.9229 | + | 41.0004i | −0.229583 | + | 0.630775i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −95.2638 | − | 79.9358i | −1.42185 | − | 1.19307i | −0.950342 | − | 0.311208i | \(-0.899266\pi\) |
−0.471505 | − | 0.881863i | \(-0.656289\pi\) | |||||||
\(68\) | −24.2739 | + | 28.9285i | −0.356969 | + | 0.425419i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.04638 | − | 2.20070i | −0.0863768 | − | 0.0314386i | ||||
\(71\) | −10.4669 | − | 6.04307i | −0.147421 | − | 0.0851136i | 0.424475 | − | 0.905440i | \(-0.360459\pi\) |
−0.571896 | + | 0.820326i | \(0.693792\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 37.3933 | + | 64.7671i | 0.512237 | + | 0.887220i | 0.999899 | + | 0.0141878i | \(0.00451627\pi\) |
−0.487663 | + | 0.873032i | \(0.662150\pi\) | |||||||
\(74\) | 94.3187 | − | 16.6309i | 1.27458 | − | 0.224742i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.29788 | − | 1.56430i | 0.0565511 | − | 0.0205829i | ||||
\(77\) | 26.5529 | + | 4.68199i | 0.344842 | + | 0.0608050i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 74.8249 | − | 62.7855i | 0.947151 | − | 0.794754i | −0.0316647 | − | 0.999499i | \(-0.510081\pi\) |
0.978815 | + | 0.204745i | \(0.0656364\pi\) | |||||||
\(80\) | − | 12.6204i | − | 0.157755i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −28.6900 | −0.349879 | ||||||||
\(83\) | −81.1294 | − | 96.6863i | −0.977463 | − | 1.16490i | −0.986305 | − | 0.164934i | \(-0.947259\pi\) |
0.00884154 | − | 0.999961i | \(-0.497186\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.3449 | + | 58.6687i | −0.121704 | + | 0.690220i | ||||
\(86\) | 16.6057 | + | 45.6238i | 0.193090 | + | 0.530510i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.18320 | + | 52.0805i | 0.104355 | + | 0.591824i | ||||
\(89\) | −9.23832 | + | 5.33375i | −0.103801 | + | 0.0599298i | −0.551002 | − | 0.834504i | \(-0.685754\pi\) |
0.447201 | + | 0.894434i | \(0.352421\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.97104 | − | 17.2703i | 0.109572 | − | 0.189784i | ||||
\(92\) | −18.4614 | + | 50.7224i | −0.200668 | + | 0.551330i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 51.1495 | + | 42.9196i | 0.544144 | + | 0.456591i | ||||
\(95\) | 4.63788 | − | 5.52721i | 0.0488198 | − | 0.0581811i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 145.826 | + | 53.0765i | 1.50337 | + | 0.547180i | 0.956929 | − | 0.290320i | \(-0.0937619\pi\) |
0.546436 | + | 0.837501i | \(0.315984\pi\) | |||||||
\(98\) | −57.4656 | − | 33.1778i | −0.586384 | − | 0.338549i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 15.0453 | + | 26.0593i | 0.150453 | + | 0.260593i | ||||
\(101\) | 98.5993 | − | 17.3857i | 0.976231 | − | 0.172136i | 0.337298 | − | 0.941398i | \(-0.390487\pi\) |
0.638933 | + | 0.769262i | \(0.279376\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 121.218 | − | 44.1198i | 1.17687 | − | 0.428347i | 0.321777 | − | 0.946815i | \(-0.395720\pi\) |
0.855097 | + | 0.518468i | \(0.173498\pi\) | |||||||
\(104\) | 38.5199 | + | 6.79210i | 0.370384 | + | 0.0653087i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −53.1552 | + | 44.6025i | −0.501464 | + | 0.420778i | ||||
\(107\) | 106.516i | 0.995473i | 0.867328 | + | 0.497736i | \(0.165835\pi\) | ||||
−0.867328 | + | 0.497736i | \(0.834165\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 102.881 | 0.943865 | 0.471933 | − | 0.881635i | \(-0.343557\pi\) | ||||
0.471933 | + | 0.881635i | \(0.343557\pi\) | |||||||
\(110\) | 53.6259 | + | 63.9088i | 0.487508 | + | 0.580989i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.00164 | + | 5.68058i | −0.00894321 | + | 0.0507195i | ||||
\(113\) | −30.8936 | − | 84.8796i | −0.273395 | − | 0.751147i | −0.998073 | − | 0.0620584i | \(-0.980233\pi\) |
0.724678 | − | 0.689088i | \(-0.241989\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 14.7866 | + | 83.8588i | 0.128579 | + | 0.729207i | ||||
\(116\) | 46.4802 | − | 26.8354i | 0.400692 | − | 0.231340i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 27.0181 | − | 46.7967i | 0.228967 | − | 0.396582i | ||||
\(119\) | 9.31268 | − | 25.5864i | 0.0782578 | − | 0.215011i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −175.109 | − | 146.934i | −1.44718 | − | 1.21433i | ||||
\(122\) | −50.0408 | + | 59.6362i | −0.410170 | + | 0.488822i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −49.3274 | − | 17.9537i | −0.397802 | − | 0.144788i | ||||
\(125\) | 109.420 | + | 63.1735i | 0.875358 | + | 0.505388i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −20.3684 | − | 35.2791i | −0.160381 | − | 0.277788i | 0.774624 | − | 0.632422i | \(-0.217939\pi\) |
−0.935005 | + | 0.354634i | \(0.884606\pi\) | |||||||
\(128\) | −11.1418 | + | 1.96460i | −0.0870455 | + | 0.0153485i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 57.9833 | − | 21.1042i | 0.446026 | − | 0.162340i | ||||
\(131\) | −48.6358 | − | 8.57581i | −0.371266 | − | 0.0654642i | −0.0150977 | − | 0.999886i | \(-0.504806\pi\) |
−0.356168 | + | 0.934422i | \(0.615917\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.52624 | + | 2.11976i | −0.0189943 | + | 0.0159381i | ||||
\(134\) | 175.869i | 1.31245i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 53.4056 | 0.392688 | ||||||||
\(137\) | 86.7066 | + | 103.333i | 0.632895 | + | 0.754255i | 0.983230 | − | 0.182369i | \(-0.0583767\pi\) |
−0.350335 | + | 0.936624i | \(0.613932\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.8192 | + | 78.3726i | −0.0994187 | + | 0.563832i | 0.893885 | + | 0.448297i | \(0.147969\pi\) |
−0.993303 | + | 0.115535i | \(0.963142\pi\) | |||||||
\(140\) | 3.11226 | + | 8.55087i | 0.0222304 | + | 0.0610776i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.96806 | + | 16.8327i | 0.0209018 | + | 0.118540i | ||||
\(143\) | −223.923 | + | 129.282i | −1.56589 | + | 0.904069i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 42.3342 | − | 73.3249i | 0.291960 | − | 0.505689i | ||||
\(146\) | 36.1735 | − | 99.3858i | 0.247764 | − | 0.680725i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −103.757 | − | 87.0621i | −0.701058 | − | 0.588257i | ||||
\(149\) | 80.7384 | − | 96.2203i | 0.541869 | − | 0.645774i | −0.423737 | − | 0.905785i | \(-0.639282\pi\) |
0.965606 | + | 0.260011i | \(0.0837263\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −106.373 | − | 38.7167i | −0.704459 | − | 0.256402i | −0.0351455 | − | 0.999382i | \(-0.511189\pi\) |
−0.669314 | + | 0.742980i | \(0.733412\pi\) | |||||||
\(152\) | −5.60163 | − | 3.23410i | −0.0368528 | − | 0.0212770i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −19.0654 | − | 33.0222i | −0.123801 | − | 0.214430i | ||||
\(155\) | −81.5525 | + | 14.3799i | −0.526145 | + | 0.0927736i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −48.5338 | + | 17.6648i | −0.309132 | + | 0.112515i | −0.491928 | − | 0.870636i | \(-0.663708\pi\) |
0.182796 | + | 0.983151i | \(0.441485\pi\) | |||||||
\(158\) | −136.038 | − | 23.9871i | −0.860997 | − | 0.151817i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −13.6723 | + | 11.4724i | −0.0854520 | + | 0.0717027i | ||||
\(161\) | − | 38.9193i | − | 0.241735i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.04117 | 0.00638756 | 0.00319378 | − | 0.999995i | \(-0.498983\pi\) | ||||
0.00319378 | + | 0.999995i | \(0.498983\pi\) | |||||||
\(164\) | 26.0804 | + | 31.0814i | 0.159027 | + | 0.189521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −30.9953 | + | 175.783i | −0.186719 | + | 1.05894i | ||||
\(167\) | −79.8469 | − | 219.378i | −0.478125 | − | 1.31364i | −0.911083 | − | 0.412224i | \(-0.864752\pi\) |
0.432957 | − | 0.901414i | \(-0.357470\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.86190 | + | 21.9019i | 0.0228515 | + | 0.129597i | ||||
\(170\) | 72.9626 | − | 42.1250i | 0.429192 | − | 0.247794i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 34.3313 | − | 59.4636i | 0.199601 | − | 0.345719i | ||||
\(173\) | 39.2036 | − | 107.711i | 0.226611 | − | 0.622607i | −0.773324 | − | 0.634011i | \(-0.781408\pi\) |
0.999935 | + | 0.0114031i | \(0.00362981\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −16.6202 | − | 13.9460i | −0.0949728 | − | 0.0796916i | ||||
\(176\) | 48.0735 | − | 57.2918i | 0.273145 | − | 0.325522i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 14.1763 | + | 5.15976i | 0.0796422 | + | 0.0289874i | ||||
\(179\) | 156.103 | + | 90.1263i | 0.872086 | + | 0.503499i | 0.868041 | − | 0.496493i | \(-0.165379\pi\) |
0.00404482 | + | 0.999992i | \(0.498712\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.6283 | + | 30.5332i | 0.0973941 | + | 0.168691i | 0.910605 | − | 0.413277i | \(-0.135616\pi\) |
−0.813211 | + | 0.581969i | \(0.802283\pi\) | |||||||
\(182\) | −27.7739 | + | 4.89729i | −0.152604 | + | 0.0269082i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 71.7323 | − | 26.1084i | 0.389849 | − | 0.141894i | ||||
\(185\) | −210.424 | − | 37.1035i | −1.13743 | − | 0.200559i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −270.442 | + | 226.928i | −1.44621 | + | 1.21352i | ||||
\(188\) | − | 94.4284i | − | 0.502279i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −10.2039 | −0.0537048 | ||||||||
\(191\) | 13.7198 | + | 16.3506i | 0.0718313 | + | 0.0856053i | 0.800763 | − | 0.598981i | \(-0.204427\pi\) |
−0.728932 | + | 0.684586i | \(0.759983\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −22.8734 | + | 129.722i | −0.118515 | + | 0.672133i | 0.866434 | + | 0.499291i | \(0.166406\pi\) |
−0.984950 | + | 0.172842i | \(0.944705\pi\) | |||||||
\(194\) | −75.0615 | − | 206.230i | −0.386915 | − | 1.06304i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.2953 | + | 92.4153i | 0.0831394 | + | 0.471507i | ||||
\(197\) | 26.6300 | − | 15.3748i | 0.135177 | − | 0.0780447i | −0.430886 | − | 0.902406i | \(-0.641799\pi\) |
0.566064 | + | 0.824362i | \(0.308466\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 122.692 | − | 212.509i | 0.616545 | − | 1.06789i | −0.373567 | − | 0.927603i | \(-0.621865\pi\) |
0.990111 | − | 0.140283i | \(-0.0448013\pi\) | |||||||
\(200\) | 14.5545 | − | 39.9883i | 0.0727727 | − | 0.199941i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −108.465 | − | 91.0133i | −0.536958 | − | 0.450561i | ||||
\(203\) | −24.8746 | + | 29.6444i | −0.122535 | + | 0.146032i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 60.1472 | + | 21.8918i | 0.293401 | + | 0.106789i | ||||
\(206\) | −157.989 | − | 91.2150i | −0.766937 | − | 0.442791i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −27.6579 | − | 47.9049i | −0.132971 | − | 0.230312i | ||||
\(209\) | 42.1084 | − | 7.42485i | 0.201476 | − | 0.0355256i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −43.4786 | + | 15.8249i | −0.206059 | + | 0.0749995i | −0.442988 | − | 0.896528i | \(-0.646082\pi\) |
0.236928 | + | 0.971527i | \(0.423859\pi\) | |||||||
\(212\) | 96.6402 | + | 17.0403i | 0.455850 | + | 0.0803787i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 115.394 | − | 96.8268i | 0.539223 | − | 0.452462i | ||||
\(215\) | − | 108.319i | − | 0.503809i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 37.8490 | 0.174419 | ||||||||
\(218\) | −93.5231 | − | 111.457i | −0.429005 | − | 0.511269i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 20.4876 | − | 116.191i | 0.0931257 | − | 0.528142i | ||||
\(221\) | 89.3063 | + | 245.367i | 0.404101 | + | 1.11026i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.89164 | + | 56.0983i | 0.0443571 | + | 0.251562i | 0.998921 | − | 0.0464451i | \(-0.0147893\pi\) |
−0.954564 | + | 0.298007i | \(0.903678\pi\) | |||||||
\(224\) | 7.06459 | − | 4.07874i | 0.0315383 | − | 0.0182087i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −63.8708 | + | 110.627i | −0.282614 | + | 0.489502i | ||||
\(227\) | 29.6402 | − | 81.4359i | 0.130574 | − | 0.358748i | −0.857127 | − | 0.515105i | \(-0.827753\pi\) |
0.987701 | + | 0.156357i | \(0.0499750\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −99.4359 | − | 83.4366i | −0.434218 | − | 0.364352i | 0.399322 | − | 0.916811i | \(-0.369245\pi\) |
−0.833540 | + | 0.552458i | \(0.813690\pi\) | |||||||
\(230\) | 77.4069 | − | 92.2499i | 0.336552 | − | 0.401087i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −71.3245 | − | 25.9600i | −0.307433 | − | 0.111897i | ||||
\(233\) | 98.9330 | + | 57.1190i | 0.424605 | + | 0.245146i | 0.697046 | − | 0.717027i | \(-0.254497\pi\) |
−0.272441 | + | 0.962173i | \(0.587831\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −74.4828 | − | 129.008i | −0.316948 | − | 0.548970i | ||||
\(236\) | −75.2577 | + | 13.2700i | −0.318889 | + | 0.0562287i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −36.1846 | + | 13.1701i | −0.152036 | + | 0.0553366i | ||||
\(239\) | 300.307 | + | 52.9523i | 1.25652 | + | 0.221558i | 0.761980 | − | 0.647600i | \(-0.224227\pi\) |
0.494535 | + | 0.869158i | \(0.335338\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 103.761 | − | 87.0654i | 0.430542 | − | 0.361267i | −0.401614 | − | 0.915809i | \(-0.631551\pi\) |
0.832156 | + | 0.554542i | \(0.187106\pi\) | |||||||
\(242\) | 323.273i | 1.33584i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 110.096 | 0.451213 | ||||||||
\(245\) | 95.1575 | + | 113.404i | 0.388398 | + | 0.462875i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.49159 | − | 31.1443i | 0.0222332 | − | 0.126090i | ||||
\(248\) | 25.3904 | + | 69.7595i | 0.102381 | + | 0.281288i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −31.0278 | − | 175.967i | −0.124111 | − | 0.703869i | ||||
\(251\) | −218.202 | + | 125.979i | −0.869331 | + | 0.501909i | −0.867126 | − | 0.498089i | \(-0.834035\pi\) |
−0.00220530 | + | 0.999998i | \(0.500702\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −252.309 | + | 437.012i | −0.997268 | + | 1.72732i | ||||
\(254\) | −19.7040 | + | 54.1362i | −0.0775746 | + | 0.213135i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2567 | + | 10.2846i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −208.414 | + | 248.378i | −0.810948 | + | 0.966450i | −0.999879 | − | 0.0155401i | \(-0.995053\pi\) |
0.188931 | + | 0.981990i | \(0.439498\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 91.7695 | + | 33.4014i | 0.354323 | + | 0.128963i | ||||
\(260\) | −75.5724 | − | 43.6317i | −0.290663 | − | 0.167814i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 34.9213 | + | 60.4854i | 0.133287 | + | 0.230860i | ||||
\(263\) | 26.0438 | − | 4.59223i | 0.0990259 | − | 0.0174609i | −0.123916 | − | 0.992293i | \(-0.539545\pi\) |
0.222942 | + | 0.974832i | \(0.428434\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 145.471 | − | 52.9470i | 0.548946 | − | 0.199800i | ||||
\(266\) | 4.59289 | + | 0.809851i | 0.0172665 | + | 0.00304455i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 190.528 | − | 159.872i | 0.710924 | − | 0.596536i | ||||
\(269\) | − | 499.973i | − | 1.85864i | −0.369280 | − | 0.929318i | \(-0.620396\pi\) | ||
0.369280 | − | 0.929318i | \(-0.379604\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −101.367 | −0.374047 | −0.187024 | − | 0.982355i | \(-0.559884\pi\) | ||||
−0.187024 | + | 0.982355i | \(0.559884\pi\) | |||||||
\(272\) | −48.5477 | − | 57.8569i | −0.178484 | − | 0.212709i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 33.1261 | − | 187.867i | 0.120898 | − | 0.685647i | ||||
\(275\) | 96.2127 | + | 264.342i | 0.349864 | + | 0.961244i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.93895 | − | 56.3666i | −0.0358807 | − | 0.203489i | 0.961597 | − | 0.274464i | \(-0.0885003\pi\) |
−0.997478 | + | 0.0709742i | \(0.977389\pi\) | |||||||
\(278\) | 97.4672 | − | 56.2727i | 0.350601 | − | 0.202420i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 6.43442 | − | 11.1447i | 0.0229801 | − | 0.0398027i | ||||
\(281\) | −41.8819 | + | 115.069i | −0.149046 | + | 0.409500i | −0.991638 | − | 0.129053i | \(-0.958806\pi\) |
0.842592 | + | 0.538552i | \(0.181029\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 360.147 | + | 302.199i | 1.27260 | + | 1.06784i | 0.994219 | + | 0.107371i | \(0.0342432\pi\) |
0.278384 | + | 0.960470i | \(0.410201\pi\) | |||||||
\(284\) | 15.5376 | − | 18.5170i | 0.0547100 | − | 0.0652008i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 343.612 | + | 125.065i | 1.20144 | + | 0.437289i | ||||
\(287\) | −25.3354 | − | 14.6274i | −0.0882767 | − | 0.0509666i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 33.7597 | + | 58.4734i | 0.116815 | + | 0.202330i | ||||
\(290\) | −117.920 | + | 20.7925i | −0.406621 | + | 0.0716982i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −140.553 | + | 51.1570i | −0.481345 | + | 0.175195i | ||||
\(293\) | −201.841 | − | 35.5901i | −0.688879 | − | 0.121468i | −0.181758 | − | 0.983343i | \(-0.558179\pi\) |
−0.507120 | + | 0.861875i | \(0.669290\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −92.3500 | + | 77.4908i | −0.313051 | + | 0.262681i | ||||
\(296\) | 191.547i | 0.647120i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −177.635 | −0.596090 | ||||||||
\(299\) | 239.906 | + | 285.908i | 0.802360 | + | 0.956215i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.59691 | + | 48.7555i | −0.0285612 | + | 0.161978i | ||||
\(302\) | 54.7537 | + | 150.435i | 0.181304 | + | 0.498128i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.58843 | + | 9.00845i | 0.00522511 | + | 0.0296331i | ||||
\(305\) | 150.413 | − | 86.8409i | 0.493157 | − | 0.284724i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.8883 | + | 50.0359i | −0.0940986 | + | 0.162984i | −0.909232 | − | 0.416290i | \(-0.863330\pi\) |
0.815133 | + | 0.579273i | \(0.196664\pi\) | |||||||
\(308\) | −18.4434 | + | 50.6729i | −0.0598813 | + | 0.164522i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 89.7129 | + | 75.2780i | 0.289396 | + | 0.242832i | ||||
\(311\) | 11.1131 | − | 13.2441i | 0.0357336 | − | 0.0425856i | −0.747882 | − | 0.663832i | \(-0.768929\pi\) |
0.783615 | + | 0.621246i | \(0.213373\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −327.046 | − | 119.035i | −1.04488 | − | 0.380304i | −0.238149 | − | 0.971229i | \(-0.576541\pi\) |
−0.806727 | + | 0.590925i | \(0.798763\pi\) | |||||||
\(314\) | 63.2563 | + | 36.5210i | 0.201453 | + | 0.116309i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 97.6770 | + | 169.181i | 0.309104 | + | 0.535384i | ||||
\(317\) | −255.079 | + | 44.9772i | −0.804664 | + | 0.141884i | −0.560828 | − | 0.827932i | \(-0.689517\pi\) |
−0.243836 | + | 0.969816i | \(0.578406\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 471.490 | − | 171.608i | 1.47802 | − | 0.537957i | ||||
\(320\) | 24.8573 | + | 4.38302i | 0.0776792 | + | 0.0136969i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −42.1633 | + | 35.3792i | −0.130942 | + | 0.109873i | ||||
\(323\) | − | 43.1798i | − | 0.133683i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 208.061 | 0.640188 | ||||||||
\(326\) | −0.946467 | − | 1.12796i | −0.00290327 | − | 0.00345998i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.96395 | − | 56.5084i | 0.0303779 | − | 0.172282i | ||||
\(329\) | 23.2866 | + | 63.9794i | 0.0707799 | + | 0.194466i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −57.9326 | − | 328.552i | −0.175023 | − | 0.992605i | −0.938117 | − | 0.346318i | \(-0.887432\pi\) |
0.763094 | − | 0.646287i | \(-0.223679\pi\) | |||||||
\(332\) | 218.611 | − | 126.215i | 0.658466 | − | 0.380166i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −165.079 | + | 285.925i | −0.494248 | + | 0.856063i | ||||
\(335\) | 134.196 | − | 368.700i | 0.400584 | − | 1.10060i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 192.673 | + | 161.672i | 0.571731 | + | 0.479739i | 0.882220 | − | 0.470838i | \(-0.156048\pi\) |
−0.310489 | + | 0.950577i | \(0.600493\pi\) | |||||||
\(338\) | 20.2168 | − | 24.0935i | 0.0598131 | − | 0.0712825i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −111.962 | − | 40.7508i | −0.329300 | − | 0.119855i | ||||
\(341\) | −424.993 | − | 245.370i | −1.24631 | − | 0.719560i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −69.1612 | − | 119.791i | −0.201636 | − | 0.349244i | ||||
\(344\) | −95.6285 | + | 16.8619i | −0.277990 | + | 0.0490171i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −152.326 | + | 55.4423i | −0.440250 | + | 0.160238i | ||||
\(347\) | 532.939 | + | 93.9715i | 1.53585 | + | 0.270811i | 0.876638 | − | 0.481150i | \(-0.159781\pi\) |
0.659208 | + | 0.751961i | \(0.270892\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 473.306 | − | 397.151i | 1.35618 | − | 1.13797i | 0.379036 | − | 0.925382i | \(-0.376256\pi\) |
0.977142 | − | 0.212586i | \(-0.0681886\pi\) | |||||||
\(350\) | 30.6830i | 0.0876658i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −105.768 | −0.300477 | ||||||||
\(353\) | 84.7293 | + | 100.976i | 0.240026 | + | 0.286052i | 0.872587 | − | 0.488458i | \(-0.162441\pi\) |
−0.632561 | + | 0.774511i | \(0.717996\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.62172 | − | 37.5537i | 0.0186527 | − | 0.105785i | ||||
\(356\) | −7.29700 | − | 20.0483i | −0.0204972 | − | 0.0563156i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −44.2656 | − | 251.043i | −0.123647 | − | 0.701237i | ||||
\(359\) | 114.766 | − | 66.2604i | 0.319683 | − | 0.184569i | −0.331568 | − | 0.943431i | \(-0.607578\pi\) |
0.651251 | + | 0.758862i | \(0.274244\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 177.885 | − | 308.106i | 0.492757 | − | 0.853480i | ||||
\(362\) | 17.0533 | − | 46.8535i | 0.0471085 | − | 0.129429i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 30.5530 | + | 25.6370i | 0.0839369 | + | 0.0704314i | ||||
\(365\) | −151.672 | + | 180.755i | −0.415539 | + | 0.495220i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −74.9103 | − | 27.2651i | −0.204115 | − | 0.0742919i | 0.237939 | − | 0.971280i | \(-0.423528\pi\) |
−0.442055 | + | 0.896988i | \(0.645750\pi\) | |||||||
\(368\) | −93.4920 | − | 53.9776i | −0.254054 | − | 0.146678i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 151.088 | + | 261.692i | 0.408346 | + | 0.707275i | ||||
\(371\) | −69.6802 | + | 12.2865i | −0.187817 | + | 0.0331172i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −526.327 | + | 191.567i | −1.41106 | + | 0.513586i | −0.931442 | − | 0.363889i | \(-0.881449\pi\) |
−0.479623 | + | 0.877475i | \(0.659226\pi\) | |||||||
\(374\) | 491.685 | + | 86.6973i | 1.31466 | + | 0.231811i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −102.299 | + | 85.8391i | −0.272072 | + | 0.228296i | ||||
\(377\) | − | 371.105i | − | 0.984364i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −485.129 | −1.28002 | −0.640012 | − | 0.768365i | \(-0.721071\pi\) | ||||
−0.640012 | + | 0.768365i | \(0.721071\pi\) | |||||||
\(380\) | 9.27576 | + | 11.0544i | 0.0244099 | + | 0.0290906i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.24161 | − | 29.7267i | 0.0137215 | − | 0.0778185i | ||||
\(383\) | −60.5772 | − | 166.434i | −0.158165 | − | 0.434555i | 0.835145 | − | 0.550029i | \(-0.185383\pi\) |
−0.993310 | + | 0.115474i | \(0.963161\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 14.7721 | + | 83.7770i | 0.0383692 | + | 0.217602i | ||||
\(386\) | 161.327 | − | 93.1422i | 0.417945 | − | 0.241301i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −155.185 | + | 268.789i | −0.399962 | + | 0.692755i | ||||
\(389\) | −200.042 | + | 549.610i | −0.514246 | + | 1.41288i | 0.362527 | + | 0.931973i | \(0.381914\pi\) |
−0.876773 | + | 0.480905i | \(0.840308\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 390.373 | + | 327.562i | 0.998396 | + | 0.837753i | ||||
\(392\) | 85.3051 | − | 101.663i | 0.217615 | − | 0.259343i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −40.8640 | − | 14.8733i | −0.103716 | − | 0.0377494i | ||||
\(395\) | 266.892 | + | 154.090i | 0.675677 | + | 0.390102i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −167.855 | − | 290.734i | −0.422810 | − | 0.732328i | 0.573403 | − | 0.819273i | \(-0.305623\pi\) |
−0.996213 | + | 0.0869453i | \(0.972289\pi\) | |||||||
\(398\) | −341.754 | + | 60.2605i | −0.858679 | + | 0.151408i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −56.5520 | + | 20.5832i | −0.141380 | + | 0.0514581i | ||||
\(401\) | −656.528 | − | 115.764i | −1.63723 | − | 0.288687i | −0.722080 | − | 0.691810i | \(-0.756814\pi\) |
−0.915146 | + | 0.403123i | \(0.867925\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −278.045 | + | 233.308i | −0.689939 | + | 0.578928i | ||||
\(404\) | 200.241i | 0.495645i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 54.7273 | 0.134796 | ||||||||
\(407\) | −813.912 | − | 969.983i | −1.99978 | − | 2.38325i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 83.1381 | − | 471.500i | 0.203272 | − | 1.15281i | −0.696865 | − | 0.717203i | \(-0.745422\pi\) |
0.900136 | − | 0.435608i | \(-0.143467\pi\) | |||||||
\(410\) | −30.9597 | − | 85.0610i | −0.0755114 | − | 0.207466i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 44.8004 | + | 254.076i | 0.108739 | + | 0.616688i | ||||
\(413\) | 47.7179 | − | 27.5500i | 0.115540 | − | 0.0667069i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 199.110 | − | 344.869i | 0.479784 | − | 0.831011i | ||||
\(416\) | −26.7557 | + | 73.5106i | −0.0643165 | + | 0.176708i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −46.3219 | − | 38.8687i | −0.110818 | − | 0.0929873i | ||||
\(419\) | 111.219 | − | 132.545i | 0.265438 | − | 0.316337i | −0.616819 | − | 0.787105i | \(-0.711579\pi\) |
0.882257 | + | 0.470769i | \(0.156023\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −252.806 | − | 92.0139i | −0.600490 | − | 0.218560i | 0.0238471 | − | 0.999716i | \(-0.492409\pi\) |
−0.624337 | + | 0.781155i | \(0.714631\pi\) | |||||||
\(422\) | 56.6676 | + | 32.7171i | 0.134283 | + | 0.0775286i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −69.3891 | − | 120.185i | −0.163654 | − | 0.283456i | ||||
\(425\) | 279.766 | − | 49.3303i | 0.658273 | − | 0.116071i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −74.5948 | + | 27.1503i | −0.174695 | + | 0.0635838i | ||||
\(428\) | −209.795 | − | 36.9925i | −0.490175 | − | 0.0864310i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −117.347 | + | 98.4661i | −0.272901 | + | 0.228991i | ||||
\(431\) | − | 457.490i | − | 1.06146i | −0.847540 | − | 0.530731i | \(-0.821918\pi\) | ||
0.847540 | − | 0.530731i | \(-0.178082\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −541.733 | −1.25112 | −0.625558 | − | 0.780178i | \(-0.715129\pi\) | ||||
−0.625558 | + | 0.780178i | \(0.715129\pi\) | |||||||
\(434\) | −34.4062 | − | 41.0037i | −0.0792769 | − | 0.0944785i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −35.7303 | + | 202.637i | −0.0819503 | + | 0.464763i | ||||
\(437\) | −21.1093 | − | 57.9974i | −0.0483051 | − | 0.132717i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 48.5394 | + | 275.280i | 0.110568 | + | 0.627062i | 0.988849 | + | 0.148918i | \(0.0475792\pi\) |
−0.878281 | + | 0.478144i | \(0.841310\pi\) | |||||||
\(440\) | −144.500 | + | 83.4270i | −0.328409 | + | 0.189607i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 184.636 | − | 319.798i | 0.417728 | − | 0.723526i | ||||
\(443\) | −80.1232 | + | 220.137i | −0.180865 | + | 0.496923i | −0.996683 | − | 0.0813867i | \(-0.974065\pi\) |
0.815818 | + | 0.578309i | \(0.196287\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −25.7828 | − | 21.6343i | −0.0579388 | − | 0.0486165i | ||||
\(446\) | 51.7822 | − | 61.7116i | 0.116104 | − | 0.138367i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −10.8407 | − | 3.94569i | −0.0241980 | − | 0.00880734i | ||||
\(449\) | 26.8989 | + | 15.5301i | 0.0599085 | + | 0.0345882i | 0.529655 | − | 0.848213i | \(-0.322321\pi\) |
−0.469747 | + | 0.882801i | \(0.655655\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 189.655 | + | 328.493i | 0.420522 | + | 0.728365i | ||||
\(452\) | 177.909 | − | 31.3702i | 0.393605 | − | 0.0694031i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −115.168 | + | 41.9176i | −0.253673 | + | 0.0923296i | ||||
\(455\) | 61.9634 | + | 10.9258i | 0.136183 | + | 0.0240128i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −299.624 | + | 251.414i | −0.655632 | + | 0.550140i | −0.908774 | − | 0.417289i | \(-0.862980\pi\) |
0.253142 | + | 0.967429i | \(0.418536\pi\) | |||||||
\(458\) | 183.571i | 0.400810i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −170.305 | −0.370228 | ||||||||
\(461\) | 29.1528 | + | 34.7429i | 0.0632381 | + | 0.0753642i | 0.796736 | − | 0.604327i | \(-0.206558\pi\) |
−0.733498 | + | 0.679692i | \(0.762114\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 37.4481 | − | 212.379i | 0.0808815 | − | 0.458702i | −0.917288 | − | 0.398224i | \(-0.869627\pi\) |
0.998170 | − | 0.0604774i | \(-0.0192623\pi\) | |||||||
\(464\) | 36.7130 | + | 100.868i | 0.0791228 | + | 0.217388i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −28.0541 | − | 159.102i | −0.0602018 | − | 0.341422i | ||||
\(467\) | −336.385 | + | 194.212i | −0.720312 | + | 0.415872i | −0.814867 | − | 0.579648i | \(-0.803190\pi\) |
0.0945558 | + | 0.995520i | \(0.469857\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −89.6654 | + | 155.305i | −0.191184 | + | 0.331141i | ||||
\(470\) | −72.0531 | + | 197.964i | −0.153304 | + | 0.421201i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 82.7882 | + | 69.4676i | 0.175399 | + | 0.147177i | ||||
\(473\) | 412.607 | − | 491.726i | 0.872320 | − | 1.03959i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −32.3315 | − | 11.7677i | −0.0680664 | − | 0.0247742i | ||||
\(476\) | 47.1610 | + | 27.2284i | 0.0990778 | + | 0.0572026i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −215.625 | − | 373.474i | −0.451099 | − | 0.781326i | ||||
\(479\) | 301.385 | − | 53.1423i | 0.629196 | − | 0.110944i | 0.150048 | − | 0.988679i | \(-0.452057\pi\) |
0.479147 | + | 0.877734i | \(0.340946\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −880.048 | + | 320.311i | −1.82962 | + | 0.665928i | ||||
\(482\) | −188.645 | − | 33.2632i | −0.391379 | − | 0.0690107i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 350.218 | − | 293.868i | 0.723591 | − | 0.607165i | ||||
\(485\) | 489.625i | 1.00954i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 947.316 | 1.94521 | 0.972604 | − | 0.232469i | \(-0.0746805\pi\) | ||||
0.972604 | + | 0.232469i | \(0.0746805\pi\) | |||||||
\(488\) | −100.082 | − | 119.272i | −0.205085 | − | 0.244411i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 36.3547 | − | 206.178i | 0.0741933 | − | 0.420771i | ||||
\(491\) | −49.4422 | − | 135.841i | −0.100697 | − | 0.276663i | 0.879107 | − | 0.476625i | \(-0.158140\pi\) |
−0.979804 | + | 0.199963i | \(0.935918\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −87.9872 | − | 499.000i | −0.178473 | − | 1.01217i | ||||
\(494\) | −38.7323 | + | 22.3621i | −0.0784055 | + | 0.0452674i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 52.4932 | − | 90.9208i | 0.105833 | − | 0.183308i | ||||
\(497\) | −5.96102 | + | 16.3778i | −0.0119940 | + | 0.0329532i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 636.655 | + | 534.217i | 1.27586 | + | 1.07058i | 0.993800 | + | 0.111179i | \(0.0354628\pi\) |
0.282062 | + | 0.959396i | \(0.408982\pi\) | |||||||
\(500\) | −162.429 | + | 193.575i | −0.324857 | + | 0.387150i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 334.834 | + | 121.870i | 0.666999 | + | 0.242768i | ||||
\(503\) | 252.425 | + | 145.738i | 0.501840 | + | 0.289737i | 0.729473 | − | 0.684010i | \(-0.239765\pi\) |
−0.227633 | + | 0.973747i | \(0.573099\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 157.945 | + | 273.569i | 0.312762 | + | 0.541720i | ||||
\(506\) | 702.796 | − | 123.922i | 1.38892 | − | 0.244905i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 76.5601 | − | 27.8656i | 0.150709 | − | 0.0548536i | ||||
\(509\) | −50.9622 | − | 8.98602i | −0.100122 | − | 0.0176543i | 0.123363 | − | 0.992362i | \(-0.460632\pi\) |
−0.223485 | + | 0.974707i | \(0.571743\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 82.6150 | − | 69.3222i | 0.161673 | − | 0.135660i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 458.536 | 0.892094 | ||||||||
\(515\) | 261.615 | + | 311.780i | 0.507990 | + | 0.605399i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 153.293 | − | 869.366i | 0.296504 | − | 1.68156i | ||||
\(518\) | −47.2367 | − | 129.782i | −0.0911905 | − | 0.250544i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 21.4298 | + | 121.534i | 0.0412111 | + | 0.233720i | ||||
\(521\) | −230.062 | + | 132.827i | −0.441578 | + | 0.254945i | −0.704267 | − | 0.709935i | \(-0.748724\pi\) |
0.262689 | + | 0.964881i | \(0.415391\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.24084 | + | 16.0056i | −0.0176689 | + | 0.0306035i | −0.874725 | − | 0.484620i | \(-0.838958\pi\) |
0.857056 | + | 0.515224i | \(0.172291\pi\) | |||||||
\(524\) | 33.7821 | − | 92.8156i | 0.0644697 | − | 0.177129i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.6498 | − | 24.0401i | −0.0544673 | − | 0.0457035i | ||||
\(527\) | −318.553 | + | 379.637i | −0.604465 | + | 0.720373i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 187.371 | + | 68.1976i | 0.354199 | + | 0.128918i | ||||
\(530\) | −189.599 | − | 109.465i | −0.357733 | − | 0.206537i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.29777 | − | 5.71190i | −0.00619881 | − | 0.0107367i | ||||
\(533\) | 276.285 | − | 48.7165i | 0.518358 | − | 0.0914005i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −315.800 | + | 114.942i | −0.590280 | + | 0.214845i | ||||
\(536\) | −346.394 | − | 61.0786i | −0.646257 | − | 0.113953i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −541.646 | + | 454.495i | −1.00678 | + | 0.844786i | ||||
\(539\) | 877.286i | 1.62762i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 469.047 | 0.867000 | 0.433500 | − | 0.901154i | \(-0.357278\pi\) | ||||
0.433500 | + | 0.901154i | \(0.357278\pi\) | |||||||
\(542\) | 92.1464 | + | 109.816i | 0.170012 | + | 0.202612i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.5476 | + | 105.188i | −0.0340948 | + | 0.193361i | ||||
\(545\) | 111.020 | + | 305.025i | 0.203707 | + | 0.559679i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 172.475 | + | 978.152i | 0.315310 | + | 1.78821i | 0.570476 | + | 0.821314i | \(0.306759\pi\) |
−0.255166 | + | 0.966897i | \(0.582130\pi\) | |||||||
\(548\) | −233.639 | + | 134.892i | −0.426349 | + | 0.246152i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 198.914 | − | 344.529i | 0.361662 | − | 0.626417i | ||||
\(551\) | −20.9893 | + | 57.6677i | −0.0380931 | + | 0.104660i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −107.901 | − | 90.5401i | −0.195120 | − | 0.163725i | ||||
\(554\) | −52.0299 | + | 62.0068i | −0.0939167 | + | 0.111926i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −149.564 | − | 54.4370i | −0.269001 | − | 0.0979083i | ||||
\(557\) | 743.009 | + | 428.977i | 1.33395 | + | 0.770155i | 0.985902 | − | 0.167322i | \(-0.0535119\pi\) |
0.348046 | + | 0.937477i | \(0.386845\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −237.383 | − | 411.160i | −0.424657 | − | 0.735527i | ||||
\(560\) | −17.9228 | + | 3.16027i | −0.0320050 | + | 0.00564335i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 162.733 | − | 59.2299i | 0.289560 | − | 0.105391i | ||||
\(563\) | 367.498 | + | 64.7999i | 0.652750 | + | 0.115097i | 0.490210 | − | 0.871604i | \(-0.336920\pi\) |
0.162540 | + | 0.986702i | \(0.448031\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 218.315 | − | 183.188i | 0.386399 | − | 0.324227i | ||||
\(566\) | − | 664.876i | − | 1.17469i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −34.1848 | −0.0601844 | ||||||||
\(569\) | 392.267 | + | 467.485i | 0.689396 | + | 0.821591i | 0.991283 | − | 0.131753i | \(-0.0420607\pi\) |
−0.301886 | + | 0.953344i | \(0.597616\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.1196 | + | 102.761i | −0.0317331 | + | 0.179967i | −0.996555 | − | 0.0829382i | \(-0.973570\pi\) |
0.964822 | + | 0.262905i | \(0.0846807\pi\) | |||||||
\(572\) | −176.868 | − | 485.941i | −0.309210 | − | 0.849547i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.18427 | + | 40.7440i | 0.0125162 | + | 0.0709826i | ||||
\(575\) | 351.655 | − | 203.028i | 0.611574 | − | 0.353092i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −53.6060 | + | 92.8483i | −0.0929046 | + | 0.160916i | −0.908732 | − | 0.417380i | \(-0.862949\pi\) |
0.815828 | + | 0.578295i | \(0.196282\pi\) | |||||||
\(578\) | 32.6584 | − | 89.7282i | 0.0565024 | − | 0.155239i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 129.719 | + | 108.848i | 0.223654 | + | 0.187668i | ||||
\(581\) | −116.993 | + | 139.427i | −0.201365 | + | 0.239977i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 862.067 | + | 313.767i | 1.47867 | + | 0.538193i | ||||
\(584\) | 183.189 | + | 105.764i | 0.313680 | + | 0.181103i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 144.925 | + | 251.018i | 0.247313 | + | 0.428358i | ||||
\(587\) | 272.582 | − | 48.0636i | 0.464365 | − | 0.0818801i | 0.0634293 | − | 0.997986i | \(-0.479796\pi\) |
0.400936 | + | 0.916106i | \(0.368685\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 56.4023 | − | 20.5288i | 0.0957595 | − | 0.0348536i | ||||
\(590\) | 167.899 | + | 29.6052i | 0.284575 | + | 0.0501783i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 207.513 | − | 174.124i | 0.350529 | − | 0.294129i | ||||
\(593\) | 44.7982i | 0.0755451i | 0.999286 | + | 0.0377725i | \(0.0120262\pi\) | ||||
−0.999286 | + | 0.0377725i | \(0.987974\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 85.9085 | 0.144384 | ||||||||
\(596\) | 161.477 | + | 192.441i | 0.270934 | + | 0.322887i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 91.6554 | − | 519.804i | 0.153270 | − | 0.869237i | ||||
\(599\) | −318.570 | − | 875.264i | −0.531836 | − | 1.46121i | −0.856883 | − | 0.515511i | \(-0.827602\pi\) |
0.325047 | − | 0.945698i | \(-0.394620\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 59.0610 | + | 334.951i | 0.0982712 | + | 0.557323i | 0.993696 | + | 0.112110i | \(0.0357610\pi\) |
−0.895425 | + | 0.445213i | \(0.853128\pi\) | |||||||
\(602\) | 60.6342 | − | 35.0072i | 0.100721 | − | 0.0581515i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 113.200 | − | 196.068i | 0.187417 | − | 0.324616i | ||||
\(605\) | 246.672 | − | 677.725i | 0.407722 | − | 1.12021i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −857.856 | − | 719.827i | −1.41327 | − | 1.18588i | −0.954830 | − | 0.297151i | \(-0.903963\pi\) |
−0.458441 | − | 0.888725i | \(-0.651592\pi\) | |||||||
\(608\) | 8.31536 | − | 9.90986i | 0.0136766 | − | 0.0162991i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −230.810 | − | 84.0081i | −0.378378 | − | 0.137718i | ||||
\(611\) | −565.448 | − | 326.461i | −0.925446 | − | 0.534307i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 503.975 | + | 872.910i | 0.822144 | + | 1.42400i | 0.904082 | + | 0.427359i | \(0.140556\pi\) |
−0.0819377 | + | 0.996637i | \(0.526111\pi\) | |||||||
\(614\) | 80.4670 | − | 14.1885i | 0.131054 | − | 0.0231083i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 71.6623 | − | 26.0829i | 0.116335 | − | 0.0423424i | ||||
\(617\) | −811.213 | − | 143.039i | −1.31477 | − | 0.231830i | −0.528089 | − | 0.849189i | \(-0.677091\pi\) |
−0.786681 | + | 0.617359i | \(0.788202\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 101.667 | − | 85.3084i | 0.164243 | − | 0.137817i | −0.556962 | − | 0.830538i | \(-0.688033\pi\) |
0.721205 | + | 0.692722i | \(0.243589\pi\) | |||||||
\(620\) | − | 165.621i | − | 0.267131i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −24.4503 | −0.0393092 | ||||||||
\(623\) | 9.88807 | + | 11.7841i | 0.0158717 | + | 0.0189151i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.90782 | + | 22.1623i | −0.00625251 | + | 0.0354598i | ||||
\(626\) | 168.341 | + | 462.513i | 0.268915 | + | 0.738839i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −17.9374 | − | 101.728i | −0.0285627 | − | 0.161987i | ||||
\(629\) | −1107.40 | + | 639.356i | −1.76057 | + | 1.01646i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −52.2617 | + | 90.5198i | −0.0828235 | + | 0.143455i | −0.904462 | − | 0.426555i | \(-0.859727\pi\) |
0.821638 | + | 0.570009i | \(0.193060\pi\) | |||||||
\(632\) | 94.4907 | − | 259.611i | 0.149511 | − | 0.410777i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 280.602 | + | 235.453i | 0.442591 | + | 0.371378i | ||||
\(635\) | 82.6166 | − | 98.4587i | 0.130105 | − | 0.155053i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 609.730 | + | 221.923i | 0.957190 | + | 0.348389i | ||||
\(638\) | −614.514 | − | 354.790i | −0.963189 | − | 0.556097i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −17.8479 | − | 30.9135i | −0.0278874 | − | 0.0483024i | ||||
\(641\) | −144.994 | + | 25.5664i | −0.226200 | + | 0.0398852i | −0.285599 | − | 0.958349i | \(-0.592193\pi\) |
0.0593990 | + | 0.998234i | \(0.481082\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −986.208 | + | 358.950i | −1.53376 | + | 0.558243i | −0.964539 | − | 0.263941i | \(-0.914977\pi\) |
−0.569221 | + | 0.822184i | \(0.692755\pi\) | |||||||
\(644\) | 76.6561 | + | 13.5165i | 0.119031 | + | 0.0209884i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −46.7788 | + | 39.2521i | −0.0724130 | + | 0.0607617i | ||||
\(647\) | 828.962i | 1.28124i | 0.767858 | + | 0.640620i | \(0.221323\pi\) | ||||
−0.767858 | + | 0.640620i | \(0.778677\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −714.411 | −1.10079 | ||||||||
\(650\) | −189.136 | − | 225.403i | −0.290978 | − | 0.346774i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.361596 | + | 2.05071i | −0.000554594 | + | 0.00314526i | ||||
\(653\) | 244.816 | + | 672.626i | 0.374910 | + | 1.03006i | 0.973437 | + | 0.228953i | \(0.0735304\pi\) |
−0.598528 | + | 0.801102i | \(0.704247\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −27.0575 | − | 153.451i | −0.0413092 | − | 0.234276i | ||||
\(656\) | −70.2760 | + | 40.5739i | −0.107128 | + | 0.0618504i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 48.1437 | − | 83.3873i | 0.0731666 | − | 0.126728i | ||||
\(659\) | 77.5795 | − | 213.148i | 0.117723 | − | 0.323442i | −0.866810 | − | 0.498638i | \(-0.833834\pi\) |
0.984534 | + | 0.175196i | \(0.0560560\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −494.893 | − | 415.264i | −0.748703 | − | 0.628237i | 0.186456 | − | 0.982463i | \(-0.440300\pi\) |
−0.935160 | + | 0.354227i | \(0.884744\pi\) | |||||||
\(662\) | −303.274 | + | 361.428i | −0.458118 | + | 0.545964i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −335.461 | − | 122.098i | −0.505212 | − | 0.183882i | ||||
\(665\) | −9.01081 | − | 5.20239i | −0.0135501 | − | 0.00782315i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −362.128 | − | 627.223i | −0.542920 | − | 0.940365i | ||||
\(668\) | 459.820 | − | 81.0787i | 0.688353 | − | 0.121375i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −521.420 | + | 189.781i | −0.778239 | + | 0.283256i | ||||
\(671\) | 1013.61 | + | 178.727i | 1.51060 | + | 0.266359i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −322.666 | + | 270.749i | −0.479444 | + | 0.402301i | −0.850225 | − | 0.526419i | \(-0.823534\pi\) |
0.370781 | + | 0.928720i | \(0.379090\pi\) | |||||||
\(674\) | − | 355.699i | − | 0.527743i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −44.4796 | −0.0657982 | ||||||||
\(677\) | −568.791 | − | 677.859i | −0.840164 | − | 1.00127i | −0.999900 | − | 0.0141088i | \(-0.995509\pi\) |
0.159736 | − | 0.987160i | \(-0.448936\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 38.8599 | − | 220.386i | 0.0572311 | − | 0.324574i | ||||
\(680\) | 57.6304 | + | 158.338i | 0.0847505 | + | 0.232850i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 120.514 | + | 683.467i | 0.176706 | + | 1.00215i | ||||
\(683\) | 179.989 | − | 103.917i | 0.263527 | − | 0.152148i | −0.362415 | − | 0.932017i | \(-0.618048\pi\) |
0.625943 | + | 0.779869i | \(0.284714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −212.798 | + | 368.577i | −0.310654 | + | 0.538069i | ||||
\(686\) | −66.9051 | + | 183.820i | −0.0975293 | + | 0.267960i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 105.197 | + | 88.2711i | 0.152903 | + | 0.128301i | ||||
\(689\) | 436.147 | − | 519.780i | 0.633015 | − | 0.754398i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −688.491 | − | 250.590i | −0.996370 | − | 0.362649i | −0.208186 | − | 0.978089i | \(-0.566756\pi\) |
−0.788184 | + | 0.615440i | \(0.788978\pi\) | |||||||
\(692\) | 198.534 | + | 114.624i | 0.286899 | + | 0.165641i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −382.658 | − | 662.783i | −0.551380 | − | 0.955019i | ||||
\(695\) | −247.273 | + | 43.6010i | −0.355789 | + | 0.0627352i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 359.951 | − | 131.012i | 0.516429 | − | 0.187965i | ||||
\(698\) | −860.507 | − | 151.731i | −1.23282 | − | 0.217379i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 33.2405 | − | 27.8921i | 0.0474864 | − | 0.0398458i | ||||
\(701\) | 176.592i | 0.251915i | 0.992036 | + | 0.125957i | \(0.0402002\pi\) | ||||
−0.992036 | + | 0.125957i | \(0.959800\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 154.871 | 0.220300 | ||||||||
\(704\) | 96.1471 | + | 114.584i | 0.136573 | + | 0.162761i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 32.3707 | − | 183.583i | 0.0458508 | − | 0.260033i | ||||
\(707\) | −49.3805 | − | 135.672i | −0.0698451 | − | 0.191898i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −158.919 | − | 901.273i | −0.224145 | − | 1.27119i | −0.864313 | − | 0.502954i | \(-0.832247\pi\) |
0.640168 | − | 0.768235i | \(-0.278865\pi\) | |||||||
\(710\) | −46.7032 | + | 26.9641i | −0.0657791 | + | 0.0379776i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.0861 | + | 26.1299i | −0.0211884 | + | 0.0366993i | ||||
\(713\) | −242.275 | + | 665.644i | −0.339796 | + | 0.933583i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −624.935 | − | 524.383i | −0.874035 | − | 0.733403i | ||||
\(716\) | −231.728 | + | 276.163i | −0.323643 | + | 0.385702i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −176.110 | − | 64.0989i | −0.245279 | − | 0.0892742i | ||||
\(719\) | −555.297 | − | 320.601i | −0.772319 | − | 0.445898i | 0.0613824 | − | 0.998114i | \(-0.480449\pi\) |
−0.833701 | + | 0.552216i | \(0.813782\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −93.0107 | − | 161.099i | −0.129002 | − | 0.223439i | ||||
\(722\) | −495.491 | + | 87.3685i | −0.686276 | + | 0.121009i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −66.2608 | + | 24.1170i | −0.0915205 | + | 0.0333107i | ||||
\(725\) | −397.614 | − | 70.1100i | −0.548433 | − | 0.0967035i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 140.649 | − | 118.019i | 0.193465 | − | 0.162337i | −0.540910 | − | 0.841081i | \(-0.681920\pi\) |
0.734375 | + | 0.678744i | \(0.237475\pi\) | |||||||
\(728\) | − | 56.4047i | − | 0.0774790i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 333.697 | 0.457119 | ||||||||
\(731\) | −416.677 | − | 496.577i | −0.570010 | − | 0.679312i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −224.357 | + | 1272.39i | −0.306081 | + | 1.73587i | 0.312292 | + | 0.949986i | \(0.398903\pi\) |
−0.618373 | + | 0.785885i | \(0.712208\pi\) | |||||||
\(734\) | 38.5587 | + | 105.939i | 0.0525323 | + | 0.144331i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 26.5112 | + | 150.352i | 0.0360206 | + | 0.204283i | ||||
\(737\) | 2013.65 | − | 1162.58i | 2.73222 | − | 1.57745i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −372.906 | + | 645.892i | −0.504609 | + | 0.874008i | 0.495377 | + | 0.868678i | \(0.335030\pi\) |
−0.999986 | + | 0.00533011i | \(0.998303\pi\) | |||||||
\(740\) | 146.159 | − | 401.569i | 0.197513 | − | 0.542661i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 76.6526 | + | 64.3191i | 0.103305 | + | 0.0866835i | ||||
\(743\) | 20.0884 | − | 23.9404i | 0.0270368 | − | 0.0322212i | −0.752357 | − | 0.658756i | \(-0.771083\pi\) |
0.779393 | + | 0.626535i | \(0.215527\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 372.402 | + | 135.543i | 0.499868 | + | 0.181937i | ||||
\(746\) | 685.987 | + | 396.055i | 0.919553 | + | 0.530904i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −353.037 | − | 611.478i | −0.471975 | − | 0.817484i | ||||
\(749\) | 151.268 | − | 26.6726i | 0.201959 | − | 0.0356109i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 871.195 | − | 317.089i | 1.16005 | − | 0.422222i | 0.310932 | − | 0.950432i | \(-0.399359\pi\) |
0.849114 | + | 0.528210i | \(0.177136\pi\) | |||||||
\(752\) | 185.988 | + | 32.7946i | 0.247324 | + | 0.0436099i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −402.037 | + | 337.349i | −0.533205 | + | 0.447412i | ||||
\(755\) | − | 357.158i | − | 0.473057i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 358.777 | 0.473946 | 0.236973 | − | 0.971516i | \(-0.423845\pi\) | ||||
0.236973 | + | 0.971516i | \(0.423845\pi\) | |||||||
\(758\) | 441.001 | + | 525.565i | 0.581796 | + | 0.693357i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.54378 | − | 20.0978i | 0.00466287 | − | 0.0264445i | ||||
\(761\) | −402.928 | − | 1107.03i | −0.529471 | − | 1.45471i | −0.859695 | − | 0.510807i | \(-0.829347\pi\) |
0.330224 | − | 0.943903i | \(-0.392876\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −25.7625 | − | 146.106i | −0.0337647 | − | 0.191489i | ||||
\(764\) | −36.9692 | + | 21.3442i | −0.0483891 | + | 0.0279374i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −125.240 | + | 216.922i | −0.163498 | + | 0.283188i | ||||
\(767\) | −180.722 | + | 496.529i | −0.235622 | + | 0.647365i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 830.766 | + | 697.096i | 1.08032 | + | 0.906497i | 0.995947 | − | 0.0899377i | \(-0.0286668\pi\) |
0.0843731 | + | 0.996434i | \(0.473111\pi\) | |||||||
\(770\) | 77.3314 | − | 92.1599i | 0.100430 | − | 0.119688i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −247.558 | − | 90.1038i | −0.320671 | − | 0.116715i | ||||
\(773\) | −941.215 | − | 543.410i | −1.21761 | − | 0.702989i | −0.253206 | − | 0.967412i | \(-0.581485\pi\) |
−0.964407 | + | 0.264423i | \(0.914818\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 197.444 | + | 341.984i | 0.254767 | + | 0.441269i | ||||
\(776\) | 432.262 | − | 76.2194i | 0.557039 | − | 0.0982209i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 777.265 | − | 282.901i | 0.999056 | − | 0.363627i | ||||
\(779\) | −45.6885 | − | 8.05611i | −0.0586501 | − | 0.0103416i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 173.109 | − | 145.256i | 0.221651 | − | 0.185987i | ||||
\(782\) | − | 720.677i | − | 0.921581i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −187.682 | −0.239390 | ||||||||
\(785\) | −104.746 | − | 124.832i | −0.133435 | − | 0.159021i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 113.607 | − | 644.299i | 0.144355 | − | 0.818677i | −0.823528 | − | 0.567276i | \(-0.807997\pi\) |
0.967883 | − | 0.251402i | \(-0.0808915\pi\) | |||||||
\(788\) | 21.0340 | + | 57.7904i | 0.0266929 | + | 0.0733381i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −75.6817 | − | 429.212i | −0.0957996 | − | 0.543306i | ||||
\(791\) | −112.805 | + | 65.1281i | −0.142611 | + | 0.0823364i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 380.628 | − | 659.267i | 0.479985 | − | 0.831358i | ||||
\(794\) | −162.380 | + | 446.135i | −0.204509 | + | 0.561883i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 375.951 | + | 315.461i | 0.472301 | + | 0.396307i | ||||
\(797\) | 810.061 | − | 965.393i | 1.01639 | − | 1.21128i | 0.0391286 | − | 0.999234i | \(-0.487542\pi\) |
0.977259 | − | 0.212049i | \(-0.0680138\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −837.722 | − | 304.906i | −1.04846 | − | 0.381610i | ||||
\(800\) | 73.7068 | + | 42.5546i | 0.0921335 | + | 0.0531933i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 471.397 | + | 816.483i | 0.587776 | + | 1.01806i | ||||
\(803\) | −1377.06 | + | 242.813i | −1.71490 | + | 0.302383i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 115.389 | − | 41.9981i | 0.143340 | − | 0.0521716i | ||||
\(806\) | 505.508 | + | 89.1347i | 0.627181 | + | 0.110589i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 216.931 | − | 182.027i | 0.268479 | − | 0.225280i | ||||
\(809\) | 65.7562i | 0.0812808i | 0.999174 | + | 0.0406404i | \(0.0129398\pi\) | ||||
−0.999174 | + | 0.0406404i | \(0.987060\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −592.061 | −0.730039 | −0.365019 | − | 0.931000i | \(-0.618938\pi\) | ||||
−0.365019 | + | 0.931000i | \(0.618938\pi\) | |||||||
\(812\) | −49.7493 | − | 59.2889i | −0.0612676 | − | 0.0730158i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −310.953 | + | 1763.50i | −0.382007 | + | 2.16647i | ||||
\(815\) | 1.12354 | + | 3.08690i | 0.00137857 | + | 0.00378760i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 13.6333 | + | 77.3181i | 0.0166870 | + | 0.0946366i | ||||
\(818\) | −586.375 | + | 338.544i | −0.716840 | + | 0.413868i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −64.0073 | + | 110.864i | −0.0780577 | + | 0.135200i | ||||
\(821\) | 377.182 | − | 1036.30i | 0.459418 | − | 1.26224i | −0.466501 | − | 0.884521i | \(-0.654486\pi\) |
0.925920 | − | 0.377721i | \(-0.123292\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 693.326 | + | 581.770i | 0.842438 | + | 0.706889i | 0.958111 | − | 0.286398i | \(-0.0924580\pi\) |
−0.115673 | + | 0.993287i | \(0.536902\pi\) | |||||||
\(824\) | 234.528 | − | 279.499i | 0.284621 | − | 0.339198i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −73.2237 | − | 26.6512i | −0.0886486 | − | 0.0322654i | ||||
\(827\) | 765.593 | + | 442.016i | 0.925748 | + | 0.534481i | 0.885464 | − | 0.464708i | \(-0.153841\pi\) |
0.0402835 | + | 0.999188i | \(0.487174\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 123.007 | + | 213.054i | 0.148380 | + | 0.257001i | 0.930629 | − | 0.365965i | \(-0.119261\pi\) |
−0.782249 | + | 0.622966i | \(0.785928\pi\) | |||||||
\(830\) | −554.614 | + | 97.7934i | −0.668209 | + | 0.117823i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 103.960 | − | 37.8382i | 0.124952 | − | 0.0454786i | ||||
\(833\) | 872.480 | + | 153.842i | 1.04739 | + | 0.184684i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 564.253 | − | 473.464i | 0.675752 | − | 0.567023i | ||||
\(836\) | 85.5160i | 0.102292i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −244.695 | −0.291998 | ||||||||
\(839\) | 661.747 | + | 788.639i | 0.788732 | + | 0.939975i | 0.999293 | − | 0.0376062i | \(-0.0119732\pi\) |
−0.210560 | + | 0.977581i | \(0.567529\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.9875 | − | 119.026i | 0.0249554 | − | 0.141529i | ||||
\(842\) | 130.127 | + | 357.522i | 0.154546 | + | 0.424610i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −16.0690 | − | 91.1320i | −0.0190391 | − | 0.107976i | ||||
\(845\) | −60.7679 | + | 35.0844i | −0.0719147 | + | 0.0415200i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −164.818 | + | 285.474i | −0.194591 | + | 0.337041i | ||||
\(848\) | −67.1256 | + | 184.426i | −0.0791575 | + | 0.217484i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −307.760 | − | 258.242i | −0.362071 | − | 0.303814i | ||||
\(851\) | −1174.85 | + | 1400.13i | −1.38055 | + | 1.64528i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 106.671 | + | 38.8249i | 0.125054 | + | 0.0455158i | 0.403789 | − | 0.914852i | \(-0.367693\pi\) |
−0.278735 | + | 0.960368i | \(0.589915\pi\) | |||||||
\(854\) | 97.2228 | + | 56.1316i | 0.113844 | + | 0.0657279i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 150.636 | + | 260.909i | 0.175976 | + | 0.304800i | ||||
\(857\) | −1415.76 | + | 249.637i | −1.65200 | + | 0.291292i | −0.920555 | − | 0.390612i | \(-0.872263\pi\) |
−0.731442 | + | 0.681904i | \(0.761152\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 410.122 | − | 149.272i | 0.477441 | − | 0.173774i | −0.0920793 | − | 0.995752i | \(-0.529351\pi\) |
0.569520 | + | 0.821977i | \(0.307129\pi\) | |||||||
\(860\) | 213.347 | + | 37.6187i | 0.248077 | + | 0.0437427i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −495.622 | + | 415.876i | −0.574967 | + | 0.482455i | ||||
\(863\) | 384.435i | 0.445463i | 0.974880 | + | 0.222732i | \(0.0714974\pi\) | ||||
−0.974880 | + | 0.222732i | \(0.928503\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 361.649 | 0.418092 | ||||||||
\(866\) | 492.457 | + | 586.887i | 0.568656 | + | 0.677698i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −13.1448 | + | 74.5479i | −0.0151438 | + | 0.0858847i | ||||
\(869\) | 624.630 | + | 1716.16i | 0.718791 | + | 1.97486i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −298.630 | − | 1693.61i | −0.342858 | − | 1.94445i | ||||
\(872\) | 252.007 | − | 145.496i | 0.288999 | − | 0.166853i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −43.6423 | + | 75.5907i | −0.0499340 | + | 0.0864882i | ||||
\(875\) | 62.3158 | − | 171.211i | 0.0712181 | − | 0.195670i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −350.883 | − | 294.425i | −0.400094 | − | 0.335719i | 0.420436 | − | 0.907322i | \(-0.361877\pi\) |
−0.820530 | + | 0.571603i | \(0.806322\pi\) | |||||||
\(878\) | 254.101 | − | 302.826i | 0.289409 | − | 0.344904i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 221.737 | + | 80.7056i | 0.251974 | + | 0.0917109i | ||||
\(881\) | 437.756 | + | 252.738i | 0.496885 | + | 0.286877i | 0.727426 | − | 0.686186i | \(-0.240716\pi\) |
−0.230541 | + | 0.973063i | \(0.574050\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 202.337 | + | 350.457i | 0.229147 | + | 0.396894i | 0.957555 | − | 0.288249i | \(-0.0930731\pi\) |
−0.728409 | + | 0.685143i | \(0.759740\pi\) | |||||||
\(884\) | −514.295 | + | 90.6840i | −0.581781 | + | 0.102584i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 311.320 | − | 113.311i | 0.351377 | − | 0.127891i | ||||
\(887\) | −810.695 | − | 142.947i | −0.913974 | − | 0.161158i | −0.303166 | − | 0.952938i | \(-0.598044\pi\) |
−0.610807 | + | 0.791779i | \(0.709155\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −45.0010 | + | 37.7603i | −0.0506198 | + | 0.0424750i | ||||
\(890\) | 47.5982i | 0.0534812i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −113.927 | −0.127721 | ||||||||
\(893\) | 69.4031 | + | 82.7114i | 0.0777191 | + | 0.0926220i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −98.7563 | + | 560.075i | −0.110342 | + | 0.625782i | ||||
\(896\) | 5.58005 | + | 15.3311i | 0.00622773 | + | 0.0171106i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.62763 | − | 43.2585i | −0.00849402 | − | 0.0481720i | ||||
\(899\) | 609.974 | − | 352.168i | 0.678502 | − | 0.391734i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 463.221 | − | 802.322i | 0.514118 | − | 0.890479i | ||||
\(902\) | 183.469 | − | 504.076i | 0.203402 | − | 0.558842i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −195.711 | − | 164.221i | −0.216495 | − | 0.181661i | ||||
\(905\) | −71.5026 | + | 85.2135i | −0.0790084 | + | 0.0941585i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −296.660 | − | 107.975i | −0.327078 | − | 0.119047i | 0.173262 | − | 0.984876i | \(-0.444569\pi\) |
−0.500340 | + | 0.865829i | \(0.666792\pi\) | |||||||
\(908\) | 150.103 | + | 86.6622i | 0.165312 | + | 0.0954430i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −44.4906 | − | 77.0600i | −0.0488908 | − | 0.0846814i | ||||
\(911\) | −409.179 | + | 72.1493i | −0.449154 | + | 0.0791980i | −0.393650 | − | 0.919260i | \(-0.628788\pi\) |
−0.0555042 | + | 0.998458i | \(0.517677\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2217.56 | − | 807.126i | 2.42887 | − | 0.884037i | ||||
\(914\) | 544.739 | + | 96.0522i | 0.595995 | + | 0.105090i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 198.872 | − | 166.873i | 0.217109 | − | 0.182176i | ||||
\(917\) | 71.2174i | 0.0776635i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1455.83 | −1.58415 | −0.792075 | − | 0.610424i | \(-0.790999\pi\) | ||||
−0.792075 | + | 0.610424i | \(0.790999\pi\) | |||||||
\(920\) | 154.814 | + | 184.500i | 0.168276 | + | 0.200543i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 11.1377 | − | 63.1653i | 0.0120800 | − | 0.0685090i | ||||
\(923\) | −57.1648 | − | 157.059i | −0.0619336 | − | 0.170161i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 176.931 | + | 1003.42i | 0.191277 | + | 1.08478i | ||||
\(926\) | −264.123 | + | 152.491i | −0.285230 | + | 0.164677i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 75.9019 | − | 131.466i | 0.0817909 | − | 0.141666i | ||||
\(929\) | −275.058 | + | 755.714i | −0.296079 | + | 0.813471i | 0.699066 | + | 0.715057i | \(0.253599\pi\) |
−0.995146 | + | 0.0984140i | \(0.968623\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −82.1968 | − | 68.9713i | −0.0882888 | − | 0.0740831i | ||||
\(932\) | −146.861 | + | 175.023i | −0.157577 | + | 0.187793i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 516.187 | + | 187.877i | 0.552663 | + | 0.201153i | ||||
\(935\) | −964.637 | − | 556.934i | −1.03170 | − | 0.595651i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −404.494 | − | 700.604i | −0.431690 | − | 0.747710i | 0.565329 | − | 0.824866i | \(-0.308749\pi\) |
−0.997019 | + | 0.0771562i | \(0.975416\pi\) | |||||||
\(938\) | 249.759 | − | 44.0393i | 0.266268 | − | 0.0469502i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 279.964 | − | 101.898i | 0.297834 | − | 0.108403i | ||||
\(941\) | 1212.64 | + | 213.821i | 1.28867 | + | 0.227227i | 0.775657 | − | 0.631155i | \(-0.217419\pi\) |
0.513012 | + | 0.858382i | \(0.328530\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 419.425 | − | 351.939i | 0.444777 | − | 0.373212i | ||||
\(944\) | − | 152.837i | − | 0.161904i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −907.788 | −0.959607 | ||||||||
\(947\) | 304.967 | + | 363.445i | 0.322034 | + | 0.383786i | 0.902638 | − | 0.430401i | \(-0.141628\pi\) |
−0.580604 | + | 0.814186i | \(0.697183\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −179.590 | + | 1018.51i | −0.189242 | + | 1.07324i | ||||
\(950\) | 16.6421 | + | 45.7237i | 0.0175180 | + | 0.0481302i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −13.3733 | − | 75.8437i | −0.0140476 | − | 0.0796677i | ||||
\(953\) | 270.697 | − | 156.287i | 0.284047 | − | 0.163995i | −0.351207 | − | 0.936298i | \(-0.614229\pi\) |
0.635254 | + | 0.772303i | \(0.280895\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −33.6715 | + | 58.3208i | −0.0352582 | + | 0.0610689i | ||||
\(956\) | −208.591 | + | 573.100i | −0.218192 | + | 0.599477i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −331.542 | − | 278.197i | −0.346077 | − | 0.290393i | ||||
\(959\) | 125.036 | − | 149.012i | 0.130381 | − | 0.155382i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 255.707 | + | 93.0696i | 0.266084 | + | 0.0968466i | ||||
\(962\) | 1147.01 | + | 662.225i | 1.19232 | + | 0.688384i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 135.450 | + | 234.606i | 0.140508 | + | 0.243367i | ||||
\(965\) | −409.285 | + | 72.1680i | −0.424130 | + | 0.0747855i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 179.037 | − | 65.1640i | 0.185146 | − | 0.0673878i | −0.247783 | − | 0.968816i | \(-0.579702\pi\) |
0.432930 | + | 0.901428i | \(0.357480\pi\) | |||||||
\(968\) | −636.724 | − | 112.272i | −0.657773 | − | 0.115983i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 530.436 | − | 445.088i | 0.546841 | − | 0.458854i | ||||
\(971\) | − | 415.384i | − | 0.427790i | −0.976857 | − | 0.213895i | \(-0.931385\pi\) | ||
0.976857 | − | 0.213895i | \(-0.0686151\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 114.761 | 0.117945 | ||||||||
\(974\) | −861.147 | − | 1026.28i | −0.884135 | − | 1.05367i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −38.2359 | + | 216.847i | −0.0391761 | + | 0.222179i | ||||
\(977\) | 418.862 | + | 1150.81i | 0.428722 | + | 1.17790i | 0.946589 | + | 0.322443i | \(0.104504\pi\) |
−0.517867 | + | 0.855461i | \(0.673274\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −34.6347 | − | 196.423i | −0.0353776 | − | 0.200637i | ||||
\(980\) | −256.411 | + | 148.039i | −0.261644 | + | 0.151060i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −102.219 | + | 177.048i | −0.104093 | + | 0.180294i | ||||
\(983\) | 107.429 | − | 295.159i | 0.109287 | − | 0.300263i | −0.872979 | − | 0.487758i | \(-0.837815\pi\) |
0.982265 | + | 0.187495i | \(0.0600369\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 74.3202 | + | 62.3621i | 0.0754520 | + | 0.0633118i | ||||
\(986\) | −460.608 | + | 548.932i | −0.467148 | + | 0.556726i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 59.4352 | + | 21.6326i | 0.0601571 | + | 0.0218954i | ||||
\(989\) | −802.427 | − | 463.281i | −0.811352 | − | 0.468434i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 174.247 | + | 301.804i | 0.175829 | + | 0.304545i | 0.940448 | − | 0.339938i | \(-0.110406\pi\) |
−0.764619 | + | 0.644483i | \(0.777073\pi\) | |||||||
\(992\) | −146.217 | + | 25.7821i | −0.147397 | + | 0.0259900i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 23.1617 | − | 8.43015i | 0.0233015 | − | 0.00848104i | ||||
\(995\) | 762.452 | + | 134.441i | 0.766283 | + | 0.135116i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −461.810 | + | 387.504i | −0.463199 | + | 0.388670i | −0.844307 | − | 0.535860i | \(-0.819987\pi\) |
0.381107 | + | 0.924531i | \(0.375543\pi\) | |||||||
\(998\) | − | 1175.34i | − | 1.17770i | ||||||
\(999\) | 0 | 0 |
(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 | 162.3.f.a.125.3 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.5.5 | ✓ | 36 | ||
12.11 | even | 2 | 432.3.bc.c.113.3 | 36 | |||
27.4 | even | 9 | 1458.3.b.c.1457.5 | 36 | |||
27.11 | odd | 18 | inner | 162.3.f.a.35.3 | 36 | ||
27.16 | even | 9 | 54.3.f.a.11.5 | yes | 36 | ||
27.23 | odd | 18 | 1458.3.b.c.1457.32 | 36 | |||
108.43 | odd | 18 | 432.3.bc.c.65.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.5.5 | ✓ | 36 | 3.2 | odd | 2 | ||
54.3.f.a.11.5 | yes | 36 | 27.16 | even | 9 | ||
162.3.f.a.35.3 | 36 | 27.11 | odd | 18 | inner | ||
162.3.f.a.125.3 | 36 | 1.1 | even | 1 | trivial | ||
432.3.bc.c.65.3 | 36 | 108.43 | odd | 18 | |||
432.3.bc.c.113.3 | 36 | 12.11 | even | 2 | |||
1458.3.b.c.1457.5 | 36 | 27.4 | even | 9 | |||
1458.3.b.c.1457.32 | 36 | 27.23 | odd | 18 |