Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [896,2,Mod(81,896)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(896, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 9, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("896.81");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 896 = 2^{7} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 896.bh (of order \(24\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.15459602111\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 224) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 81.10 | ||
Character | \(\chi\) | \(=\) | 896.81 |
Dual form | 896.2.bh.a.177.10 |
$q$-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 \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(645\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{8}\right)\) |
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 | 0 | ||||||||
\(3\) | −0.867605 | + | 0.665736i | −0.500912 | + | 0.384363i | −0.828086 | − | 0.560601i | \(-0.810570\pi\) |
0.327174 | + | 0.944964i | \(0.393904\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.00636490 | + | 0.00829490i | −0.00284647 | + | 0.00370959i | −0.794774 | − | 0.606905i | \(-0.792411\pi\) |
0.791928 | + | 0.610615i | \(0.209078\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.529064 | + | 2.59231i | 0.199967 | + | 0.979803i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.466924 | + | 1.74259i | −0.155641 | + | 0.580862i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0658296 | + | 0.500025i | −0.0198484 | + | 0.150763i | −0.998499 | − | 0.0547667i | \(-0.982558\pi\) |
0.978651 | + | 0.205530i | \(0.0658918\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.148833 | − | 0.359315i | 0.0412789 | − | 0.0996562i | −0.901895 | − | 0.431955i | \(-0.857824\pi\) |
0.943174 | + | 0.332298i | \(0.107824\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 0.0114340i | − | 0.00295226i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.83439 | − | 2.21379i | −0.929977 | − | 0.536923i | −0.0431727 | − | 0.999068i | \(-0.513747\pi\) |
−0.886804 | + | 0.462145i | \(0.847080\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.30771 | − | 0.303816i | 0.529425 | − | 0.0697001i | 0.138925 | − | 0.990303i | \(-0.455635\pi\) |
0.390500 | + | 0.920603i | \(0.372302\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.18482 | − | 1.89689i | −0.476766 | − | 0.413935i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.117964 | + | 0.440249i | −0.0245973 | + | 0.0917983i | −0.977133 | − | 0.212628i | \(-0.931798\pi\) |
0.952536 | + | 0.304426i | \(0.0984646\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.29407 | + | 4.82952i | 0.258813 | + | 0.965905i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.01050 | − | 4.85376i | −0.386920 | − | 0.934107i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −8.23722 | − | 3.41197i | −1.52961 | − | 0.633587i | −0.550124 | − | 0.835083i | \(-0.685420\pi\) |
−0.979489 | + | 0.201496i | \(0.935420\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.54295 | + | 6.13657i | −0.636333 | + | 1.10216i | 0.349898 | + | 0.936788i | \(0.386216\pi\) |
−0.986231 | + | 0.165373i | \(0.947117\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.275771 | − | 0.477649i | −0.0480056 | − | 0.0831481i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.0248704 | − | 0.0121113i | −0.00420387 | − | 0.00204718i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.810667 | − | 1.05648i | 0.133273 | − | 0.173685i | −0.721950 | − | 0.691946i | \(-0.756754\pi\) |
0.855222 | + | 0.518261i | \(0.173420\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.110081 | + | 0.410827i | 0.0176270 | + | 0.0657850i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.726254 | + | 0.726254i | 0.113422 | + | 0.113422i | 0.761540 | − | 0.648118i | \(-0.224444\pi\) |
−0.648118 | + | 0.761540i | \(0.724444\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.00055 | − | 0.414442i | 0.152583 | − | 0.0632019i | −0.305085 | − | 0.952325i | \(-0.598685\pi\) |
0.457668 | + | 0.889123i | \(0.348685\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.0114826 | − | 0.0149645i | −0.00171173 | − | 0.00223077i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.68936 | + | 3.86210i | −0.975743 | + | 0.563345i | −0.900982 | − | 0.433856i | \(-0.857153\pi\) |
−0.0747608 | + | 0.997201i | \(0.523819\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.44018 | + | 2.74300i | −0.920026 | + | 0.391857i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.80054 | − | 0.632003i | 0.672210 | − | 0.0884981i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.43102 | + | 10.8696i | −0.196565 | + | 1.49306i | 0.554141 | + | 0.832423i | \(0.313047\pi\) |
−0.750706 | + | 0.660637i | \(0.770286\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.00372866 | − | 0.00372866i | −0.000502773 | − | 0.000502773i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.79992 | + | 1.79992i | −0.238405 | + | 0.238405i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.07149 | + | 0.667674i | 0.660251 | + | 0.0869237i | 0.453203 | − | 0.891407i | \(-0.350281\pi\) |
0.207048 | + | 0.978331i | \(0.433614\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.787418 | − | 5.98103i | −0.100819 | − | 0.765793i | −0.964933 | − | 0.262497i | \(-0.915454\pi\) |
0.864114 | − | 0.503296i | \(-0.167879\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.76436 | − | 0.288476i | −0.600253 | − | 0.0363445i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.00203318 | + | 0.00352156i | 0.000252184 | + | 0.000436796i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.37282 | + | 5.65736i | −0.900733 | + | 0.691157i | −0.951531 | − | 0.307552i | \(-0.900490\pi\) |
0.0507983 | + | 0.998709i | \(0.483823\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.190743 | − | 0.460495i | −0.0229628 | − | 0.0554371i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −3.01032 | + | 3.01032i | −0.357259 | + | 0.357259i | −0.862802 | − | 0.505542i | \(-0.831292\pi\) |
0.505542 | + | 0.862802i | \(0.331292\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.568628 | + | 0.152363i | −0.0665529 | + | 0.0178328i | −0.291942 | − | 0.956436i | \(-0.594301\pi\) |
0.225389 | + | 0.974269i | \(0.427635\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −4.33793 | − | 3.32861i | −0.500901 | − | 0.384355i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.33105 | + | 0.0938943i | −0.151687 | + | 0.0107002i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.83347 | + | 5.67736i | −1.10635 | + | 0.638752i | −0.937882 | − | 0.346954i | \(-0.887216\pi\) |
−0.168470 | + | 0.985707i | \(0.553883\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.288563 | + | 0.166602i | 0.0320626 | + | 0.0185113i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.51148 | − | 10.8917i | 0.495200 | − | 1.19552i | −0.456842 | − | 0.889548i | \(-0.651019\pi\) |
0.952041 | − | 0.305969i | \(-0.0989805\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0427687 | − | 0.0177154i | 0.00463892 | − | 0.00192150i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 9.41812 | − | 2.52358i | 1.00973 | − | 0.270556i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 14.1112 | + | 3.78107i | 1.49578 | + | 0.400793i | 0.911684 | − | 0.410892i | \(-0.134783\pi\) |
0.584095 | + | 0.811685i | \(0.301449\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.01020 | + | 0.195722i | 0.105898 | + | 0.0205172i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.01146 | − | 7.68279i | −0.104883 | − | 0.796668i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.0121682 | + | 0.0210760i | −0.00124843 | + | 0.00216235i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.9213 | 1.21042 | 0.605211 | − | 0.796065i | \(-0.293089\pi\) | ||||
0.605211 | + | 0.796065i | \(0.293089\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.840599 | − | 0.348188i | −0.0844834 | − | 0.0349942i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.5149 | − | 1.91092i | −1.44428 | − | 0.190144i | −0.632708 | − | 0.774390i | \(-0.718057\pi\) |
−0.811576 | + | 0.584247i | \(0.801390\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.4395 | − | 2.79725i | −1.02863 | − | 0.275621i | −0.295238 | − | 0.955424i | \(-0.595399\pi\) |
−0.733395 | + | 0.679802i | \(0.762066\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.0296406 | − | 0.00604934i | 0.00289263 | − | 0.000590355i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.98433 | − | 6.89392i | −0.868548 | − | 0.666460i | 0.0751850 | − | 0.997170i | \(-0.476045\pi\) |
−0.943733 | + | 0.330710i | \(0.892712\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.27270 | + | 5.56829i | 0.409250 | + | 0.533345i | 0.951817 | − | 0.306668i | \(-0.0992140\pi\) |
−0.542567 | + | 0.840013i | \(0.682547\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.45630i | 0.138226i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 5.73929i | 0.539907i | 0.962873 | + | 0.269954i | \(0.0870083\pi\) | ||||
−0.962873 | + | 0.269954i | \(0.912992\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.00290099 | − | 0.00378065i | −0.000270519 | − | 0.000352547i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.556644 | + | 0.427128i | 0.0514618 | + | 0.0394880i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 3.71020 | − | 11.1112i | 0.340113 | − | 1.01856i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.3795 | + | 2.78118i | 0.943590 | + | 0.252834i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.11360 | − | 0.146608i | −0.100410 | − | 0.0132192i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.0965951 | − | 0.0400110i | −0.00863973 | − | 0.00357869i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.26570 | 0.378519 | 0.189260 | − | 0.981927i | \(-0.439391\pi\) | ||||
0.189260 | + | 0.981927i | \(0.439391\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.592174 | + | 1.02568i | −0.0521380 | + | 0.0903057i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.523674 | + | 3.97770i | 0.0457536 | + | 0.347533i | 0.998975 | + | 0.0452607i | \(0.0144119\pi\) |
−0.953222 | + | 0.302272i | \(0.902255\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.00851 | + | 5.82157i | 0.174160 | + | 0.504794i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0.0530581 | + | 0.0142169i | 0.00456651 | + | 0.00122359i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.44018 | − | 1.72564i | 0.550222 | − | 0.147431i | 0.0270114 | − | 0.999635i | \(-0.491401\pi\) |
0.523210 | + | 0.852204i | \(0.324734\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.1258 | − | 5.85112i | 1.19814 | − | 0.496285i | 0.307742 | − | 0.951470i | \(-0.400427\pi\) |
0.890397 | + | 0.455185i | \(0.150427\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.23257 | − | 7.80413i | 0.272232 | − | 0.657226i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.169869 | + | 0.0980740i | 0.0142052 | + | 0.00820136i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.0807311 | − | 0.0466101i | 0.00670435 | − | 0.00387076i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.76142 | − | 6.66730i | 0.310237 | − | 0.549910i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.97302 | + | 3.04860i | 0.325482 | + | 0.249751i | 0.758557 | − | 0.651607i | \(-0.225905\pi\) |
−0.433075 | + | 0.901358i | \(0.642571\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.18175 | − | 1.65640i | 0.503064 | − | 0.134796i | 0.00164238 | − | 0.999999i | \(-0.499477\pi\) |
0.501422 | + | 0.865203i | \(0.332811\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.64809 | − | 5.64809i | 0.456621 | − | 0.456621i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.0283517 | − | 0.0684471i | −0.00227726 | − | 0.00549780i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.3418 | − | 11.0049i | 1.14460 | − | 0.878283i | 0.150702 | − | 0.988579i | \(-0.451847\pi\) |
0.993899 | + | 0.110296i | \(0.0351799\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.99476 | − | 10.3832i | −0.475415 | − | 0.823443i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.20367 | − | 0.0728809i | −0.0948629 | − | 0.00574382i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.25530 | + | 17.1307i | 0.176649 | + | 1.34178i | 0.818302 | + | 0.574788i | \(0.194915\pi\) |
−0.641653 | + | 0.766995i | \(0.721751\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.00571731 | 0.000752698i | 0.000445092 | 5.85975e-5i | ||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.4656 | − | 15.4656i | 1.19676 | − | 1.19676i | 0.221630 | − | 0.975131i | \(-0.428862\pi\) |
0.975131 | − | 0.221630i | \(-0.0711378\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.08543 | + | 9.08543i | 0.698879 | + | 0.698879i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.548101 | + | 4.16324i | −0.0419143 | + | 0.318371i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.1655 | + | 1.99658i | −1.15301 | + | 0.151797i | −0.682697 | − | 0.730702i | \(-0.739193\pi\) |
−0.470315 | + | 0.882499i | \(0.655860\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.8350 | + | 5.90975i | −0.894642 | + | 0.446735i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.84454 | + | 2.79700i | −0.364138 | + | 0.210235i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 11.0619 | + | 14.4162i | 0.826808 | + | 1.07752i | 0.995769 | + | 0.0918946i | \(0.0292923\pi\) |
−0.168961 | + | 0.985623i | \(0.554041\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.82296 | − | 0.755095i | 0.135500 | − | 0.0561258i | −0.313903 | − | 0.949455i | \(-0.601637\pi\) |
0.449403 | + | 0.893329i | \(0.351637\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.66496 | + | 4.66496i | 0.344844 | + | 0.344844i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.00360360 | + | 0.0134488i | 0.000264942 | + | 0.000988776i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.35937 | − | 1.77156i | 0.0994067 | − | 0.129549i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 11.5188 | − | 7.77979i | 0.837869 | − | 0.565896i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.79102 | + | 8.29829i | 0.346666 | + | 0.600443i | 0.985655 | − | 0.168773i | \(-0.0539804\pi\) |
−0.638989 | + | 0.769216i | \(0.720647\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.51517 | − | 9.55256i | 0.396991 | − | 0.687608i | −0.596362 | − | 0.802715i | \(-0.703388\pi\) |
0.993353 | + | 0.115107i | \(0.0367211\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.00410843 | − | 0.00170177i | −0.000294211 | − | 0.000121866i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.63754 | − | 3.95337i | −0.116670 | − | 0.281666i | 0.854747 | − | 0.519044i | \(-0.173712\pi\) |
−0.971417 | + | 0.237378i | \(0.923712\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.99880 | + | 22.3878i | 0.425244 | + | 1.58703i | 0.763390 | + | 0.645938i | \(0.223533\pi\) |
−0.338146 | + | 0.941093i | \(0.609800\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 2.63038 | − | 9.81670i | 0.185533 | − | 0.692417i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.48688 | − | 23.1586i | 0.314917 | − | 1.62542i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0106467 | + | 0.00140167i | −0.000743601 | + | 9.78969e-5i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.712091 | − | 0.411126i | −0.0494938 | − | 0.0285752i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.17391i | 0.0812012i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.39410 | + | 15.4367i | −0.440188 | + | 1.06271i | 0.535694 | + | 0.844412i | \(0.320050\pi\) |
−0.975882 | + | 0.218296i | \(0.929950\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.607688 | − | 4.61585i | 0.0416381 | − | 0.316273i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.00293066 | + | 0.0109374i | −0.000199869 | + | 0.000745922i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.7824 | − | 5.93780i | −1.20715 | − | 0.403084i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.391910 | − | 0.510747i | 0.0264828 | − | 0.0345131i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.36613 | + | 1.04827i | −0.0918961 | + | 0.0705144i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 23.6506 | 1.58376 | 0.791880 | − | 0.610677i | \(-0.209103\pi\) | ||||
0.791880 | + | 0.610677i | \(0.209103\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −9.02009 | −0.601339 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 20.7791 | − | 15.9443i | 1.37915 | − | 1.05826i | 0.388561 | − | 0.921423i | \(-0.372972\pi\) |
0.990593 | − | 0.136839i | \(-0.0436944\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −15.9348 | + | 20.7667i | −1.05300 | + | 1.37230i | −0.128247 | + | 0.991742i | \(0.540935\pi\) |
−0.924757 | + | 0.380559i | \(0.875732\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.09232 | − | 0.967592i | 0.0718691 | − | 0.0636629i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.774736 | − | 2.89136i | 0.0507547 | − | 0.189419i | −0.935894 | − | 0.352281i | \(-0.885406\pi\) |
0.986649 | + | 0.162862i | \(0.0520727\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.0105413 | − | 0.0800695i | 0.000687641 | − | 0.00522316i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.75194 | − | 11.4722i | 0.308672 | − | 0.745199i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 13.3435i | − | 0.863119i | −0.902085 | − | 0.431559i | \(-0.857964\pi\) | ||
0.902085 | − | 0.431559i | \(-0.142036\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.9939 | − | 12.6982i | −1.41675 | − | 0.817960i | −0.420737 | − | 0.907183i | \(-0.638228\pi\) |
−0.996012 | + | 0.0892225i | \(0.971562\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.2649 | − | 2.00966i | 0.979245 | − | 0.128920i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.0182382 | − | 0.0708796i | 0.00116520 | − | 0.00452833i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.234298 | − | 0.874413i | 0.0149080 | − | 0.0556376i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.33681 | + | 12.4531i | 0.211461 | + | 0.789185i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.987986 | − | 2.38521i | −0.0623611 | − | 0.150553i | 0.889627 | − | 0.456688i | \(-0.150964\pi\) |
−0.951988 | + | 0.306134i | \(0.900964\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.212370 | − | 0.0879666i | −0.0133516 | − | 0.00553041i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.0253125 | + | 0.0438426i | −0.00158513 | + | 0.00274553i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −14.7969 | − | 25.6290i | −0.923005 | − | 1.59869i | −0.794739 | − | 0.606951i | \(-0.792392\pi\) |
−0.128266 | − | 0.991740i | \(-0.540941\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.16763 | + | 1.54256i | 0.196827 | + | 0.0958499i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.79181 | − | 12.7609i | 0.606098 | − | 0.789882i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.58399 | + | 9.64359i | 0.159336 | + | 0.594649i | 0.998695 | + | 0.0510720i | \(0.0162638\pi\) |
−0.839359 | + | 0.543577i | \(0.817070\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.0810543 | − | 0.0810543i | −0.00497913 | − | 0.00497913i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −14.7601 | + | 6.11383i | −0.903303 | + | 0.374160i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 11.0921 | + | 14.4555i | 0.676298 | + | 0.881369i | 0.997851 | − | 0.0655227i | \(-0.0208715\pi\) |
−0.321553 | + | 0.946892i | \(0.604205\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.45951 | + | 1.99735i | −0.210150 | + | 0.121330i | −0.601381 | − | 0.798962i | \(-0.705383\pi\) |
0.391231 | + | 0.920292i | \(0.372049\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.00675 | + | 0.502718i | −0.0609315 | + | 0.0304259i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.50007 | + | 0.329141i | −0.150760 | + | 0.0198479i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.618521 | + | 4.69813i | −0.0371633 | + | 0.282283i | 0.962765 | + | 0.270339i | \(0.0871356\pi\) |
−0.999929 | + | 0.0119449i | \(0.996198\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −9.03921 | − | 9.03921i | −0.541163 | − | 0.541163i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 7.03491 | − | 7.03491i | 0.419667 | − | 0.419667i | −0.465422 | − | 0.885089i | \(-0.654097\pi\) |
0.885089 | + | 0.465422i | \(0.154097\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.14854 | − | 0.677819i | −0.306049 | − | 0.0402921i | −0.0240625 | − | 0.999710i | \(-0.507660\pi\) |
−0.281987 | + | 0.959418i | \(0.590993\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.00347384 | − | 0.0263864i | −0.000205773 | − | 0.00156300i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.49844 | + | 2.26691i | −0.0884504 | + | 0.133812i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.30172 | + | 2.25464i | 0.0765716 | + | 0.132626i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.3430 | + | 7.93643i | −0.606315 | + | 0.465242i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.86694 | + | 4.50719i | 0.109068 | + | 0.263313i | 0.968985 | − | 0.247121i | \(-0.0794847\pi\) |
−0.859917 | + | 0.510434i | \(0.829485\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0378178 | + | 0.0378178i | −0.00220184 | + | 0.00220184i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.55935 | − | 0.685777i | 0.148509 | − | 0.0397928i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.140631 | + | 0.107910i | 0.00813292 | + | 0.00624061i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.60372 | + | 2.37448i | 0.0924369 | + | 0.136863i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 13.8653 | − | 8.00516i | 0.796543 | − | 0.459884i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.0546239 | + | 0.0315371i | 0.00312776 | + | 0.00180581i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6.41434 | + | 15.4856i | −0.366086 | + | 0.883809i | 0.628298 | + | 0.777973i | \(0.283752\pi\) |
−0.994384 | + | 0.105836i | \(0.966248\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.9196 | − | 4.52304i | 0.621193 | − | 0.257307i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.47066 | + | 0.662011i | −0.140098 | + | 0.0375392i | −0.328187 | − | 0.944613i | \(-0.606437\pi\) |
0.188089 | + | 0.982152i | \(0.439771\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.97674 | − | 1.33351i | −0.281302 | − | 0.0753747i | 0.115409 | − | 0.993318i | \(-0.463182\pi\) |
−0.396712 | + | 0.917943i | \(0.629849\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.0327176 | − | 0.0376838i | 0.00184343 | − | 0.00212324i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.0159808 | + | 0.121386i | 0.000897570 | + | 0.00681772i | 0.991888 | − | 0.127117i | \(-0.0405722\pi\) |
−0.990990 | + | 0.133934i | \(0.957239\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.24832 | − | 3.89421i | 0.125882 | − | 0.218034i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.3844 | 0.691228 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.52125 | − | 3.94383i | −0.529776 | − | 0.219441i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.92792 | + | 0.253816i | 0.106942 | + | 0.0140792i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.41402 | − | 1.98658i | −0.409996 | − | 0.109858i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −13.5509 | − | 15.2976i | −0.747084 | − | 0.843385i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.7930 | − | 13.6530i | −0.977990 | − | 0.750438i | −0.00961889 | − | 0.999954i | \(-0.503062\pi\) |
−0.968371 | + | 0.249516i | \(0.919729\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.46249 | + | 1.90596i | 0.0801440 | + | 0.104446i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 0.0971653i | − | 0.00530871i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.3116i | 1.10645i | 0.833033 | + | 0.553223i | \(0.186602\pi\) | ||||
−0.833033 | + | 0.553223i | \(0.813398\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3.82085 | − | 4.97943i | −0.207520 | − | 0.270446i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.83521 | − | 2.17553i | −0.153535 | − | 0.117812i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.5180 | − | 15.2438i | −0.567918 | − | 0.823085i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.00503383 | + | 0.00134881i | 0.000271012 | + | 7.26175e-5i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −15.4472 | − | 2.03366i | −0.829248 | − | 0.109173i | −0.296060 | − | 0.955169i | \(-0.595673\pi\) |
−0.533188 | + | 0.845997i | \(0.679006\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.8470 | + | 6.97826i | 0.901800 | + | 0.373538i | 0.784912 | − | 0.619607i | \(-0.212708\pi\) |
0.116888 | + | 0.993145i | \(0.462708\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.04326 | −0.109061 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.0112 | + | 22.5360i | −0.692514 | + | 1.19947i | 0.278497 | + | 0.960437i | \(0.410164\pi\) |
−0.971011 | + | 0.239033i | \(0.923170\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.00580992 | − | 0.0441307i | −0.000308358 | − | 0.00234221i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 4.17814 | + | 12.1101i | 0.221131 | + | 0.640936i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 24.4780 | + | 6.55887i | 1.29190 | + | 0.346164i | 0.838382 | − | 0.545083i | \(-0.183502\pi\) |
0.453519 | + | 0.891247i | \(0.350168\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.1194 | + | 3.51533i | −0.690493 | + | 0.185017i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −10.8568 | + | 4.49704i | −0.569836 | + | 0.236034i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.00235542 | − | 0.00568649i | 0.000123288 | − | 0.000297644i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.4795 | − | 6.05033i | −0.547024 | − | 0.315825i | 0.200897 | − | 0.979612i | \(-0.435614\pi\) |
−0.747921 | + | 0.663788i | \(0.768948\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.60467 | + | 0.926455i | −0.0835356 | + | 0.0482293i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −28.9346 | + | 2.04109i | −1.50221 | + | 0.105968i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 28.1953 | + | 21.6350i | 1.45990 | + | 1.12022i | 0.968419 | + | 0.249328i | \(0.0802098\pi\) |
0.491478 | + | 0.870890i | \(0.336457\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.110443 | − | 0.0295931i | 0.00570326 | − | 0.00152818i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −2.45195 | + | 2.45195i | −0.126282 | + | 0.126282i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.3445 | + | 27.3882i | 0.582730 | + | 1.40684i | 0.890328 | + | 0.455319i | \(0.150475\pi\) |
−0.307598 | + | 0.951516i | \(0.599525\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.70094 | + | 2.83983i | −0.189605 | + | 0.145489i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.0605146 | − | 0.104814i | −0.00309215 | − | 0.00535576i | 0.864475 | − | 0.502675i | \(-0.167651\pi\) |
−0.867567 | + | 0.497320i | \(0.834318\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00769316 | − | 0.0116386i | 0.000392080 | − | 0.000593156i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.255019 | + | 1.93706i | 0.0129633 | + | 0.0984664i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6.89891 | − | 0.908259i | −0.349789 | − | 0.0460506i | −0.0464151 | − | 0.998922i | \(-0.514780\pi\) |
−0.303374 | + | 0.952872i | \(0.598113\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.42694 | − | 1.42694i | 0.0721635 | − | 0.0721635i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.10244 | − | 3.10244i | −0.156497 | − | 0.156497i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.0154960 | − | 0.117703i | 0.000779686 | − | 0.00592230i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −16.9158 | + | 2.22700i | −0.848978 | + | 0.111770i | −0.542446 | − | 0.840090i | \(-0.682502\pi\) |
−0.306532 | + | 0.951860i | \(0.599169\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −5.61822 | − | 3.71368i | −0.281263 | − | 0.185917i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 30.3311 | − | 17.5117i | 1.51467 | − | 0.874492i | 0.514813 | − | 0.857303i | \(-0.327861\pi\) |
0.999852 | − | 0.0171899i | \(-0.00547197\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.67765 | + | 2.18636i | 0.0835699 | + | 0.108910i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.00321862 | + | 0.00133320i | −0.000159935 | + | 6.62471e-5i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0.474902 | + | 0.474902i | 0.0235400 | + | 0.0235400i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.04090 | + | 22.5450i | 0.298703 | + | 1.11478i | 0.938231 | + | 0.346008i | \(0.112463\pi\) |
−0.639528 | + | 0.768768i | \(0.720870\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.43871 | + | 5.78463i | −0.218945 | + | 0.285335i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.952319 | + | 13.5001i | 0.0468606 | + | 0.664298i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.0616303 | + | 0.106747i | 0.00302531 | + | 0.00523999i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −8.36035 | + | 14.4805i | −0.409408 | + | 0.709115i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.52990 | − | 1.04792i | −0.123594 | − | 0.0511942i | 0.320029 | − | 0.947408i | \(-0.396307\pi\) |
−0.443623 | + | 0.896213i | \(0.646307\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.46512 | − | 13.1940i | −0.266354 | − | 0.643035i | 0.732952 | − | 0.680280i | \(-0.238142\pi\) |
−0.999306 | + | 0.0372451i | \(0.988142\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.60662 | − | 13.4601i | −0.175360 | − | 0.654452i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.72958 | − | 21.3831i | 0.277925 | − | 1.03723i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 15.0881 | − | 5.20558i | 0.730165 | − | 0.251916i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.212671 | + | 0.0279986i | −0.0102678 | + | 0.00135179i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.3306 | + | 10.0059i | 0.834788 | + | 0.481965i | 0.855489 | − | 0.517821i | \(-0.173257\pi\) |
−0.0207012 | + | 0.999786i | \(0.506590\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 7.27777i | − | 0.349747i | −0.984591 | − | 0.174874i | \(-0.944048\pi\) | ||
0.984591 | − | 0.174874i | \(-0.0559517\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −0.0390126 | + | 0.0941847i | −0.00187051 | + | 0.00451581i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.138473 | + | 1.05181i | −0.00662406 | + | 0.0503147i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.37044 | − | 5.11457i | 0.0654077 | − | 0.244105i | −0.925480 | − | 0.378797i | \(-0.876338\pi\) |
0.990888 | + | 0.134692i | \(0.0430045\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.77283 | − | 12.5033i | −0.0844205 | − | 0.595397i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.60281 | − | 4.69527i | 0.171175 | − | 0.223079i | −0.699886 | − | 0.714254i | \(-0.746766\pi\) |
0.871061 | + | 0.491175i | \(0.163433\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.121180 | + | 0.0929845i | −0.00574447 | + | 0.00440789i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −5.47657 | −0.259033 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −28.7167 | −1.35522 | −0.677612 | − | 0.735420i | \(-0.736985\pi\) | ||||
−0.677612 | + | 0.735420i | \(0.736985\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.410955 | + | 0.315336i | −0.0193511 | + | 0.0148486i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.26059 | + | 5.55252i | −0.200180 | + | 0.260880i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.00805332 | + | 0.00713376i | −0.000377546 | + | 0.000334436i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8.64296 | + | 32.2560i | −0.404301 | + | 1.50887i | 0.401042 | + | 0.916060i | \(0.368648\pi\) |
−0.805342 | + | 0.592810i | \(0.798018\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.03618 | + | 23.0621i | −0.141717 | + | 1.07644i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.16892 | − | 19.7215i | 0.380464 | − | 0.918522i | −0.611411 | − | 0.791313i | \(-0.709398\pi\) |
0.991876 | − | 0.127210i | \(-0.0406021\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.0618i | − | 0.839401i | −0.907663 | − | 0.419701i | \(-0.862135\pi\) | ||
0.907663 | − | 0.419701i | \(-0.137865\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.0701658 | + | 0.0405102i | 0.00325386 | + | 0.00187862i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.31804 | + | 0.831786i | −0.292364 | + | 0.0384905i | −0.275282 | − | 0.961364i | \(-0.588771\pi\) |
−0.0170824 | + | 0.999854i | \(0.505438\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.5663 | − | 16.1196i | −0.857314 | − | 0.744332i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.11669 | + | 19.0957i | −0.235764 | + | 0.879885i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.141366 | + | 0.527584i | 0.00650000 | + | 0.0242583i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.45361 | + | 10.7520i | 0.204346 | + | 0.493335i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −18.2731 | − | 7.56897i | −0.836668 | − | 0.346559i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −16.7851 | + | 29.0727i | −0.766931 | + | 1.32836i | 0.172288 | + | 0.985047i | \(0.444884\pi\) |
−0.939220 | + | 0.343317i | \(0.888449\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.258956 | − | 0.448525i | −0.0118074 | − | 0.0204510i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.09283 | − | 0.738098i | 0.0497256 | − | 0.0335846i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.0758778 | + | 0.0988859i | −0.00344543 | + | 0.00449018i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.62751 | − | 21.0022i | −0.255007 | − | 0.951699i | −0.968087 | − | 0.250616i | \(-0.919367\pi\) |
0.713080 | − | 0.701083i | \(-0.247300\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −13.3613 | − | 13.3613i | −0.604217 | − | 0.604217i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −22.6071 | + | 9.36415i | −1.02024 | + | 0.422598i | −0.829181 | − | 0.558980i | \(-0.811193\pi\) |
−0.191061 | + | 0.981578i | \(0.561193\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 24.0314 | + | 31.3183i | 1.08232 | + | 1.41051i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.00823851 | − | 0.00475651i | 0.000370294 | − | 0.000213789i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.39635 | − | 6.21104i | −0.421484 | − | 0.278603i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.1903 | − | 1.86819i | 0.635246 | − | 0.0836318i | 0.193976 | − | 0.981006i | \(-0.437861\pi\) |
0.441270 | + | 0.897374i | \(0.354528\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.12200 | + | 23.7140i | −0.139481 | + | 1.05946i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −2.74437 | − | 2.74437i | −0.122365 | − | 0.122365i | 0.643272 | − | 0.765638i | \(-0.277576\pi\) |
−0.765638 | + | 0.643272i | \(0.777576\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.108237 | − | 0.108237i | 0.00481647 | − | 0.00481647i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −13.9311 | − | 1.83406i | −0.618700 | − | 0.0814534i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.95223 | + | 30.0202i | 0.175180 | + | 1.33062i | 0.822657 | + | 0.568538i | \(0.192491\pi\) |
−0.647478 | + | 0.762084i | \(0.724176\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.695814 | − | 1.39345i | −0.0307810 | − | 0.0616427i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −6.11429 | − | 10.5903i | −0.269952 | − | 0.467571i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.0896492 | − | 0.0687903i | 0.00395042 | − | 0.00303126i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.49079 | − | 3.59909i | −0.0655649 | − | 0.158288i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 11.8285 | − | 11.8285i | 0.519212 | − | 0.519212i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.1991 | − | 3.80463i | 0.622073 | − | 0.166684i | 0.0660028 | − | 0.997819i | \(-0.478975\pi\) |
0.556070 | + | 0.831136i | \(0.312309\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 23.4627 | + | 18.0036i | 1.02595 | + | 0.787241i | 0.977361 | − | 0.211578i | \(-0.0678602\pi\) |
0.0485911 | + | 0.998819i | \(0.484527\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 6.33376 | − | 13.0063i | 0.276428 | − | 0.567642i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 27.1701 | − | 15.6867i | 1.18355 | − | 0.683323i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.7387 | + | 11.3961i | 0.858204 | + | 0.495484i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.53148 | + | 8.52574i | −0.153253 | + | 0.369986i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.369045 | − | 0.152864i | 0.0159851 | − | 0.00662126i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.114369 | − | 0.0306450i | 0.00494459 | − | 0.00132490i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −19.1948 | − | 5.14323i | −0.828316 | − | 0.221947i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.947614 | − | 3.40082i | −0.0408166 | − | 0.146484i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.42109 | + | 25.9857i | 0.147084 | + | 1.11721i | 0.892640 | + | 0.450771i | \(0.148851\pi\) |
−0.745556 | + | 0.666443i | \(0.767816\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.07891 | + | 1.86874i | −0.0463007 | + | 0.0801951i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.0733837 | −0.00314341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.6722 | − | 10.6338i | −1.09766 | − | 0.454667i | −0.240991 | − | 0.970527i | \(-0.577472\pi\) |
−0.856673 | + | 0.515860i | \(0.827472\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 10.7901 | + | 1.42055i | 0.460511 | + | 0.0606275i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −20.0457 | − | 5.37123i | −0.853976 | − | 0.228822i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.9200 | − | 22.4878i | −0.847085 | − | 0.956277i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.0120799 | − | 0.00926920i | −0.000512762 | − | 0.000393456i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −21.3227 | − | 27.7882i | −0.903471 | − | 1.17743i | −0.983550 | − | 0.180637i | \(-0.942184\pi\) |
0.0800792 | − | 0.996789i | \(-0.474483\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 0.421197i | − | 0.0178147i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.44199i | 0.103101i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −26.9090 | − | 35.0685i | −1.13408 | − | 1.47796i | −0.855688 | − | 0.517492i | \(-0.826866\pi\) |
−0.278390 | − | 0.960468i | \(-0.589801\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.0476069 | − | 0.0365300i | −0.00200284 | − | 0.00153683i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.279216 | + | 0.836189i | −0.0117260 | + | 0.0351166i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −16.9469 | − | 4.54092i | −0.710452 | − | 0.190365i | −0.114545 | − | 0.993418i | \(-0.536541\pi\) |
−0.595908 | + | 0.803053i | \(0.703208\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 36.3266 | + | 4.78249i | 1.52022 | + | 0.200141i | 0.843913 | − | 0.536479i | \(-0.180246\pi\) |
0.676307 | + | 0.736620i | \(0.263579\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.68118 | − | 4.01008i | −0.404437 | − | 0.167523i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.27885 | −0.0950345 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.637232 | − | 1.10372i | 0.0265283 | − | 0.0459484i | −0.852456 | − | 0.522798i | \(-0.824888\pi\) |
0.878985 | + | 0.476850i | \(0.158221\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.57450 | + | 11.9595i | 0.0654339 | + | 0.497020i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 30.6215 | + | 5.93278i | 1.27039 | + | 0.246133i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.34089 | − | 1.43109i | −0.221197 | − | 0.0592696i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.00708597 | + | 0.00189868i | −0.000292969 | + | 7.85007e-5i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.20554 | − | 2.98463i | 0.297404 | − | 0.123189i | −0.228992 | − | 0.973428i | \(-0.573543\pi\) |
0.526396 | + | 0.850239i | \(0.323543\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.31171 | + | 15.2378i | −0.260070 | + | 0.627863i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.05264 | + | 2.33979i | 0.166703 | + | 0.0962462i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 36.3322 | − | 20.9764i | 1.49198 | − | 0.861397i | 0.492026 | − | 0.870580i | \(-0.336256\pi\) |
0.999958 | + | 0.00918306i | \(0.00292310\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.0685512 | + | 0.101497i | 0.00281032 | + | 0.00416098i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −20.1090 | − | 15.4302i | −0.823006 | − | 0.631514i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −32.4372 | + | 8.69153i | −1.32535 | + | 0.355126i | −0.850979 | − | 0.525199i | \(-0.823991\pi\) |
−0.474370 | + | 0.880325i | \(0.657324\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.4156 | + | 10.4156i | −0.424863 | + | 0.424863i | −0.886874 | − | 0.462011i | \(-0.847128\pi\) |
0.462011 | + | 0.886874i | \(0.347128\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.41589 | − | 15.4893i | −0.261275 | − | 0.630774i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.0891340 | + | 0.0683949i | −0.00362381 | + | 0.00278065i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.2810 | − | 29.9315i | −0.701413 | − | 1.21488i | −0.967971 | − | 0.251064i | \(-0.919220\pi\) |
0.266558 | − | 0.963819i | \(-0.414114\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.5247 | + | 23.0796i | 0.467004 | + | 0.935232i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.392114 | + | 2.97840i | 0.0158632 | + | 0.120493i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.1286 | − | 1.59676i | −0.489870 | − | 0.0644926i | −0.118455 | − | 0.992959i | \(-0.537794\pi\) |
−0.371415 | + | 0.928467i | \(0.621127\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.00830402 | − | 0.00830402i | 0.000334850 | − | 0.000334850i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 21.6358 | + | 21.6358i | 0.871026 | + | 0.871026i | 0.992584 | − | 0.121558i | \(-0.0387890\pi\) |
−0.121558 | + | 0.992584i | \(0.538789\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.11447 | + | 38.8483i | −0.205568 | + | 1.56144i | 0.508311 | + | 0.861174i | \(0.330270\pi\) |
−0.713879 | + | 0.700270i | \(0.753063\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.37403 | − | 0.312547i | 0.0952666 | − | 0.0125421i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.33603 | + | 38.5810i | −0.0935909 | + | 1.54571i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.6492 | + | 12.4992i | −0.865969 | + | 0.499967i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.781516 | − | 1.01849i | −0.0312108 | − | 0.0406746i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.44725 | + | 2.25632i | −0.217196 | + | 0.0899655i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 31.4063 | + | 31.4063i | 1.25027 | + | 1.25027i | 0.955600 | + | 0.294666i | \(0.0952084\pi\) |
0.294666 | + | 0.955600i | \(0.404792\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −4.72924 | − | 17.6498i | −0.187970 | − | 0.701515i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −0.0271507 | + | 0.0353835i | −0.00107744 | + | 0.00140415i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0270878 | + | 2.72231i | 0.00107326 | + | 0.107862i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.84015 | − | 6.65133i | −0.151914 | − | 0.263123i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.7676 | − | 25.5783i | 0.583286 | − | 1.01028i | −0.411800 | − | 0.911274i | \(-0.635100\pi\) |
0.995087 | − | 0.0990074i | \(-0.0315668\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.31913 | − | 3.03168i | −0.288638 | − | 0.119558i | 0.233666 | − | 0.972317i | \(-0.424928\pi\) |
−0.522305 | + | 0.852759i | \(0.674928\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.00473875 | − | 0.0114404i | −0.000186588 | − | 0.000450463i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5.17547 | + | 19.3151i | 0.203469 | + | 0.759355i | 0.989911 | + | 0.141692i | \(0.0452541\pi\) |
−0.786442 | + | 0.617664i | \(0.788079\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.667707 | + | 2.49192i | −0.0262098 | + | 0.0978163i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.3811 | − | 6.68670i | 0.759604 | − | 0.262072i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −37.3274 | + | 4.91425i | −1.46073 | + | 0.192309i | −0.818636 | − | 0.574313i | \(-0.805269\pi\) |
−0.642098 | + | 0.766622i | \(0.721936\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.0363277 | − | 0.0209738i | −0.00141944 | − | 0.000819515i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 1.06202i | − | 0.0414335i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.38612 | + | 13.0032i | −0.209813 | + | 0.506534i | −0.993394 | − | 0.114756i | \(-0.963391\pi\) |
0.783580 | + | 0.621290i | \(0.213391\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.28061 | − | 32.5145i | 0.166496 | − | 1.26467i | −0.680374 | − | 0.732865i | \(-0.738182\pi\) |
0.846870 | − | 0.531800i | \(-0.178484\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.487391 | − | 1.81897i | 0.0189287 | − | 0.0706429i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.0610733 | − | 0.0203933i | −0.00236832 | − | 0.000790819i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.47382 | − | 3.22394i | 0.0957865 | − | 0.124831i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −20.5193 | + | 15.7450i | −0.793324 | + | 0.608739i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.04250 | 0.117454 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.3926 | 1.01736 | 0.508680 | − | 0.860956i | \(-0.330134\pi\) | ||||
0.508680 | + | 0.860956i | \(0.330134\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 20.8397 | − | 15.9908i | 0.802119 | − | 0.615487i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −12.7929 | + | 16.6721i | −0.491672 | + | 0.640759i | −0.971623 | − | 0.236536i | \(-0.923988\pi\) |
0.479951 | + | 0.877295i | \(0.340654\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.30712 | + | 30.9037i | 0.242045 | + | 1.18598i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7.41328 | + | 27.6667i | −0.284078 | + | 1.06019i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −1.65133 | + | 12.5431i | −0.0631864 | + | 0.479949i | 0.930371 | + | 0.366619i | \(0.119485\pi\) |
−0.993557 | + | 0.113329i | \(0.963848\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.0266771 | + | 0.0644042i | −0.00101928 | + | 0.00246076i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 28.6257i | − | 1.09214i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.69265 | + | 2.13195i | 0.140679 | + | 0.0812208i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.29360 | + | 1.22353i | −0.353545 | + | 0.0465451i | −0.305207 | − | 0.952286i | \(-0.598726\pi\) |
−0.0483379 | + | 0.998831i | \(0.515392\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.457881 | − | 2.36331i | 0.0173935 | − | 0.0897748i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.0413752 | + | 0.154414i | −0.00156945 | + | 0.00585727i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.17697 | − | 4.39252i | −0.0445810 | − | 0.166379i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.25272 | + | 3.02432i | 0.0473821 | + | 0.114390i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −13.6747 | − | 5.66427i | −0.516488 | − | 0.213936i | 0.109185 | − | 0.994021i | \(-0.465176\pi\) |
−0.625674 | + | 0.780085i | \(0.715176\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.54981 | − | 2.68435i | 0.0584521 | − | 0.101242i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.0441594 | + | 0.0764864i | 0.00166314 | + | 0.00288064i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −2.72559 | − | 38.6381i | −0.102506 | − | 1.45314i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 30.6243 | − | 39.9103i | 1.15012 | − | 1.49886i | 0.314750 | − | 0.949175i | \(-0.398079\pi\) |
0.835369 | − | 0.549689i | \(-0.185254\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.30179 | − | 19.7866i | −0.198833 | − | 0.742054i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.28368 | − | 2.28368i | −0.0855244 | − | 0.0855244i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.00189471 | 0.000784816i | −7.08583e−5 | 2.93505e-5i | ||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.88325 | + | 11.5769i | 0.331751 | + | 0.432346i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.5745 | − | 13.0334i | 0.841885 | − | 0.486063i | −0.0160195 | − | 0.999872i | \(-0.505099\pi\) |
0.857905 | + | 0.513809i | \(0.171766\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.72820 | − | 28.5424i | 0.0643616 | − | 1.06297i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 27.5356 | − | 3.62513i | 1.02406 | − | 0.134820i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.81867 | − | 44.1972i | 0.216100 | − | 1.64144i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.78370 | + | 1.78370i | 0.0661537 | + | 0.0661537i | 0.739410 | − | 0.673256i | \(-0.235105\pi\) |
−0.673256 | + | 0.739410i | \(0.735105\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −12.6128 | + | 12.6128i | −0.467142 | + | 0.467142i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.75400 | − | 0.625876i | −0.175833 | − | 0.0231489i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.142345 | − | 1.08122i | −0.00525762 | − | 0.0399356i | 0.988615 | − | 0.150468i | \(-0.0480779\pi\) |
−0.993873 | + | 0.110532i | \(0.964745\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.0313636 | + | 0.0736373i | 0.00115686 | + | 0.00271615i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −2.34347 | − | 4.05902i | −0.0863230 | − | 0.149516i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 6.00863 | − | 4.61058i | 0.221031 | − | 0.169603i | −0.492311 | − | 0.870420i | \(-0.663848\pi\) |
0.713341 | + | 0.700817i | \(0.247181\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.378850 | + | 0.914626i | 0.0139174 | + | 0.0335996i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.26102 | + | 2.26102i | −0.0829487 | + | 0.0829487i | −0.747364 | − | 0.664415i | \(-0.768681\pi\) |
0.664415 | + | 0.747364i | \(0.268681\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.0505757 | + | 0.0135517i | −0.00185295 | + | 0.000496497i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 16.8732 | + | 12.9472i | 0.617357 | + | 0.473715i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.1179 | − | 26.9375i | 0.479318 | − | 0.984275i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.9562 | − | 16.7179i | 1.05663 | − | 0.610045i | 0.132131 | − | 0.991232i | \(-0.457818\pi\) |
0.924498 | + | 0.381188i | \(0.124485\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 2.44510 | + | 1.41168i | 0.0891045 | + | 0.0514445i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.0256066 | + | 0.0618198i | −0.000931920 | + | 0.00224985i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.849473 | + | 0.351863i | −0.0308746 | + | 0.0127887i | −0.398067 | − | 0.917356i | \(-0.630319\pi\) |
0.367193 | + | 0.930145i | \(0.380319\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.242816 | − | 0.0650623i | 0.00881366 | − | 0.00236161i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 12.9202 | + | 3.46197i | 0.468359 | + | 0.125496i | 0.485277 | − | 0.874361i | \(-0.338719\pi\) |
−0.0169183 | + | 0.999857i | \(0.505386\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.1742 | + | 14.0221i | −0.440736 | + | 0.507636i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.0109008 | + | 0.0827999i | 0.000394120 | + | 0.00299364i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.994711 | − | 1.72289i | 0.0359169 | − | 0.0622100i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.4371 | 0.664858 | 0.332429 | − | 0.943128i | \(-0.392132\pi\) | ||||
0.332429 | + | 0.943128i | \(0.392132\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 29.9000 | + | 12.3850i | 1.07682 | + | 0.446034i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 25.3477 | + | 3.33709i | 0.911694 | + | 0.120027i | 0.571759 | − | 0.820422i | \(-0.306261\pi\) |
0.339936 | + | 0.940449i | \(0.389595\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −34.2215 | − | 9.16963i | −1.22927 | − | 0.329383i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.77519 | + | 0.770475i | −0.135434 | + | 0.0276407i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.89663 | + | 1.45534i | 0.0679539 | + | 0.0521428i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.30707 | − | 1.70340i | −0.0467706 | − | 0.0609526i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 46.8413i | 1.67397i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.189009i | 0.00674601i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.4011 | − | 20.0712i | −0.548992 | − | 0.715460i | 0.433628 | − | 0.901092i | \(-0.357233\pi\) |
−0.982619 | + | 0.185632i | \(0.940567\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −8.66197 | − | 6.64656i | −0.308374 | − | 0.236624i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.8780 | + | 3.03645i | −0.529002 | + | 0.107964i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.26627 | − | 0.607245i | −0.0804776 | − | 0.0215639i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0.124284 | + | 0.0163623i | 0.00440790 | + | 0.000580310i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −9.04304 | − | 3.74575i | −0.320321 | − | 0.132681i | 0.216729 | − | 0.976232i | \(-0.430461\pi\) |
−0.537050 | + | 0.843551i | \(0.680461\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 34.1995 | 1.20989 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.1777 | + | 22.8244i | −0.465611 | + | 0.806461i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −0.0387530 | − | 0.294358i | −0.00136756 | − | 0.0103877i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.00826581 | − | 0.00952048i | 0.000291332 | − | 0.000335553i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −19.2471 | − | 5.15725i | −0.677531 | − | 0.181544i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 16.0911 | − | 4.31159i | 0.565731 | − | 0.151587i | 0.0353933 | − | 0.999373i | \(-0.488732\pi\) |
0.530338 | + | 0.847786i | \(0.322065\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 35.3358 | − | 14.6366i | 1.24081 | − | 0.513960i | 0.336842 | − | 0.941561i | \(-0.390641\pi\) |
0.903967 | + | 0.427601i | \(0.140641\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.67178 | − | 4.03603i | 0.0586318 | − | 0.141550i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.156453 | − | 0.0903279i | −0.00548029 | − | 0.00316405i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.18307 | − | 1.26040i | 0.0763759 | − | 0.0440957i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.812750 | + | 1.66897i | −0.0283998 | + | 0.0583187i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.0736 | − | 8.49704i | −0.386470 | − | 0.296549i | 0.397193 | − | 0.917735i | \(-0.369984\pi\) |
−0.783663 | + | 0.621186i | \(0.786651\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.99525 | − | 2.14232i | 0.278697 | − | 0.0746766i | −0.116763 | − | 0.993160i | \(-0.537252\pi\) |
0.395460 | + | 0.918483i | \(0.370585\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1.94995 | − | 1.94995i | 0.0678886 | − | 0.0678886i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.3603 | − | 27.4263i | −0.395038 | − | 0.953706i | −0.988825 | − | 0.149083i | \(-0.952368\pi\) |
0.593787 | − | 0.804622i | \(-0.297632\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.29638 | − | 6.36603i | 0.288145 | − | 0.221102i | −0.454567 | − | 0.890713i | \(-0.650206\pi\) |
0.742712 | + | 0.669611i | \(0.233539\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.59109 | − | 4.48789i | −0.0898838 | − | 0.155683i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 30.7666 | + | 3.73947i | 1.06600 | + | 0.129565i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.0298485 | + | 0.226722i | 0.00103295 | + | 0.00784604i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 36.9085 | + | 4.85910i | 1.27575 | + | 0.167955i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 18.6175 | − | 18.6175i | 0.642748 | − | 0.642748i | −0.308482 | − | 0.951230i | \(-0.599821\pi\) |
0.951230 | + | 0.308482i | \(0.0998210\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 35.7042 | + | 35.7042i | 1.23118 | + | 1.23118i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −1.42012 | + | 10.7869i | −0.0489117 | + | 0.371521i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.133191 | + | 0.0175349i | −0.00458190 | + | 0.000603218i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.71827 | + | 28.3783i | −0.0590405 | + | 0.975091i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 4.91815 | − | 2.83949i | 0.168790 | − | 0.0974512i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.369486 | + | 0.481523i | 0.0126658 | + | 0.0165064i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.86904 | + | 4.08789i | −0.337909 | + | 0.139967i | −0.545185 | − | 0.838316i | \(-0.683540\pi\) |
0.207275 | + | 0.978283i | \(0.433540\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.0310451 | − | 0.0310451i | −0.00106172 | − | 0.00106172i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −14.4932 | − | 54.0893i | −0.495078 | − | 1.84765i | −0.529595 | − | 0.848251i | \(-0.677656\pi\) |
0.0345174 | − | 0.999404i | \(-0.489011\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 9.22273 | − | 12.0193i | 0.314676 | − | 0.410093i | −0.609060 | − | 0.793124i | \(-0.708453\pi\) |
0.923735 | + | 0.383031i | \(0.125120\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −0.209110 | − | 2.96435i | −0.00712645 | − | 0.101025i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.157887 | + | 0.273468i | 0.00537453 | + | 0.00930896i | 0.868700 | − | 0.495338i | \(-0.164956\pi\) |
−0.863326 | + | 0.504647i | \(0.831623\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.0799655 | − | 0.138504i | 0.00271891 | − | 0.00470929i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.63037 | − | 1.08953i | −0.0893321 | − | 0.0370025i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −2.19149 | − | 5.29072i | −0.0743411 | − | 0.179475i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.935456 | + | 3.49117i | 0.0316967 | + | 0.118294i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.56634 | + | 20.7739i | −0.188392 | + | 0.703089i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.0526161 | − | 0.271573i | 0.00177875 | − | 0.00918085i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.3945 | + | 2.81664i | −0.722442 | + | 0.0951112i | −0.482776 | − | 0.875744i | \(-0.660371\pi\) |
−0.239666 | + | 0.970855i | \(0.577038\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.62036 | − | 2.66757i | −0.155841 | − | 0.0899749i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.9692i | 1.31291i | 0.754367 | + | 0.656453i | \(0.227944\pi\) | ||||
−0.754367 | + | 0.656453i | \(0.772056\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.0782 | − | 46.0588i | 0.642032 | − | 1.55000i | −0.181901 | − | 0.983317i | \(-0.558225\pi\) |
0.823934 | − | 0.566686i | \(-0.191775\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.00763421 | − | 0.0579876i | 0.000256621 | − | 0.00194923i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −6.48715 | + | 24.2104i | −0.217817 | + | 0.812905i | 0.767339 | + | 0.641242i | \(0.221581\pi\) |
−0.985156 | + | 0.171663i | \(0.945086\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.25682 | + | 11.0580i | 0.0756915 | + | 0.370874i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.102301 | + | 0.133321i | −0.00342722 | + | 0.00446644i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −14.2637 | + | 10.9449i | −0.477317 | + | 0.366258i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.189989 | −0.00635064 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.193852 | −0.00647253 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 50.1219 | − | 38.4599i | 1.67166 | − | 1.28271i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 29.5502 | − | 38.5105i | 0.984458 | − | 1.28297i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.97217 | − | 0.992454i | −0.0989077 | − | 0.0330268i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −0.00533953 | + | 0.0199274i | −0.000177492 | + | 0.000662409i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.25225 | − | 39.8948i | 0.174398 | − | 1.32468i | −0.650545 | − | 0.759468i | \(-0.725459\pi\) |
0.824943 | − | 0.565216i | \(-0.191207\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 10.1073 | − | 24.4012i | 0.335238 | − | 0.809336i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.734154i | 0.0243236i | 0.999926 | + | 0.0121618i | \(0.00387132\pi\) | ||||
−0.999926 | + | 0.0121618i | \(0.996129\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.14913 | + | 2.97285i | 0.170411 | + | 0.0983870i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.0683874 | + | 0.00900337i | −0.00226082 | + | 0.000297642i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −10.0344 | + | 3.46198i | −0.331365 | + | 0.114325i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −14.4840 | + | 54.0552i | −0.477785 | + | 1.78312i | 0.132775 | + | 0.991146i | \(0.457611\pi\) |
−0.610559 | + | 0.791970i | \(0.709055\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.74421 | − | 17.7056i | −0.156327 | − | 0.583420i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.633619 | + | 1.52969i | 0.0208558 | + | 0.0503504i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.15136 | + | 2.54798i | 0.202256 | + | 0.0837770i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 9.74890 | − | 16.8856i | 0.320196 | − | 0.554596i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 23.3147 | + | 40.3823i | 0.764932 | + | 1.32490i | 0.940282 | + | 0.340395i | \(0.110561\pi\) |
−0.175350 | + | 0.984506i | \(0.556106\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −14.0287 | + | 8.28667i | −0.459772 | + | 0.271585i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1.70283 | − | 2.21917i | 0.0557481 | − | 0.0726523i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.00604269 | + | 0.0225516i | 0.000197617 | + | 0.000737517i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.25935 | − | 9.25935i | −0.302490 | − | 0.302490i | 0.539497 | − | 0.841987i | \(-0.318614\pi\) |
−0.841987 | + | 0.539497i | \(0.818614\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 5.20561 | − | 2.15624i | 0.169879 | − | 0.0703661i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 15.6620 | + | 20.4111i | 0.510566 | + | 0.665383i | 0.975509 | − | 0.219958i | \(-0.0705920\pi\) |
−0.464943 | + | 0.885340i | \(0.653925\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.405405 | + | 0.234061i | −0.0132018 | + | 0.00762207i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.00878349 | + | 0.145065i | −0.000285727 | + | 0.00471896i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.1116 | + | 1.33121i | −0.328582 | + | 0.0432586i | −0.293013 | − | 0.956109i | \(-0.594658\pi\) |
−0.0355693 | + | 0.999367i | \(0.511324\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.0298843 | + | 0.226993i | −0.000970084 | + | 0.00736852i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −0.0946761 | − | 0.0946761i | −0.00307008 | − | 0.00307008i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 19.2898 | − | 19.2898i | 0.624856 | − | 0.624856i | −0.321913 | − | 0.946769i | \(-0.604326\pi\) |
0.946769 | + | 0.321913i | \(0.104326\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.0993278 | − | 0.0130768i | −0.00321417 | − | 0.000423154i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0.641862 | + | 4.87542i | 0.0207484 | + | 0.157600i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 7.88067 | + | 15.7820i | 0.254480 | + | 0.509627i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.60499 | − | 16.6363i | −0.309838 | − | 0.536656i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 16.2082 | − | 12.4370i | 0.522303 | − | 0.400777i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.0441340 | + | 0.106549i | 0.00142072 | + | 0.00342993i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −5.46434 | + | 5.46434i | −0.175721 | + | 0.175721i | −0.789488 | − | 0.613766i | \(-0.789654\pi\) |
0.613766 | + | 0.789488i | \(0.289654\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 10.8862 | − | 2.91696i | 0.349716 | − | 0.0937061i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 17.8660 | + | 13.7091i | 0.573349 | + | 0.439946i | 0.854303 | − | 0.519775i | \(-0.173984\pi\) |
−0.280954 | + | 0.959721i | \(0.590651\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.6414 | + | 33.5230i | 0.725850 | + | 1.07470i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −1.84165 | + | 1.06328i | −0.0589800 | + | 0.0340521i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 33.0032 | + | 19.0544i | 1.05587 | + | 0.609605i | 0.924286 | − | 0.381700i | \(-0.124661\pi\) |
0.131581 | + | 0.991305i | \(0.457995\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.81956 | + | 6.80703i | −0.0901136 | + | 0.217553i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −11.6982 | + | 4.84557i | −0.373496 | + | 0.154707i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 21.0422 | − | 5.63823i | 0.671141 | − | 0.179832i | 0.0928721 | − | 0.995678i | \(-0.470395\pi\) |
0.578269 | + | 0.815846i | \(0.303729\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.0432156 | + | 0.0115796i | 0.00137696 | + | 0.000368956i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 21.9410 | + | 4.25097i | 0.698389 | + | 0.135310i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.0644283 | + | 0.489382i | 0.00204870 | + | 0.0155614i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.9837 | − | 31.1487i | 0.571271 | − | 0.989470i | −0.425165 | − | 0.905116i | \(-0.639784\pi\) |
0.996436 | − | 0.0843544i | \(-0.0268828\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 24.5266 | 0.778327 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −0.223887 | − | 0.0927369i | −0.00709768 | − | 0.00293996i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −50.4453 | − | 6.64125i | −1.59762 | − | 0.210330i | −0.721496 | − | 0.692419i | \(-0.756545\pi\) |
−0.876122 | + | 0.482089i | \(0.839878\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −6.75776 | − | 1.81074i | −0.213806 | − | 0.0572892i |
(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 | 896.2.bh.a.81.10 | 240 | ||
4.3 | odd | 2 | 224.2.bd.a.221.27 | yes | 240 | ||
7.2 | even | 3 | inner | 896.2.bh.a.849.10 | 240 | ||
28.23 | odd | 6 | 224.2.bd.a.93.14 | yes | 240 | ||
32.11 | odd | 8 | 224.2.bd.a.53.14 | ✓ | 240 | ||
32.21 | even | 8 | inner | 896.2.bh.a.305.10 | 240 | ||
224.107 | odd | 24 | 224.2.bd.a.149.27 | yes | 240 | ||
224.149 | even | 24 | inner | 896.2.bh.a.177.10 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.bd.a.53.14 | ✓ | 240 | 32.11 | odd | 8 | ||
224.2.bd.a.93.14 | yes | 240 | 28.23 | odd | 6 | ||
224.2.bd.a.149.27 | yes | 240 | 224.107 | odd | 24 | ||
224.2.bd.a.221.27 | yes | 240 | 4.3 | odd | 2 | ||
896.2.bh.a.81.10 | 240 | 1.1 | even | 1 | trivial | ||
896.2.bh.a.177.10 | 240 | 224.149 | even | 24 | inner | ||
896.2.bh.a.305.10 | 240 | 32.21 | even | 8 | inner | ||
896.2.bh.a.849.10 | 240 | 7.2 | even | 3 | inner |