Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(41,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.m (of order \(11\), degree \(10\), 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: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 460.121 |
Dual form | 460.2.m.b.441.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 | ||||||||
\(3\) | −2.70621 | − | 0.794614i | −1.56243 | − | 0.458770i | −0.617643 | − | 0.786459i | \(-0.711912\pi\) |
−0.944786 | + | 0.327688i | \(0.893730\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.841254 | + | 0.540641i | −0.376220 | + | 0.241782i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.171423 | + | 1.19227i | −0.0647916 | + | 0.450636i | 0.931439 | + | 0.363896i | \(0.118554\pi\) |
−0.996231 | + | 0.0867392i | \(0.972355\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 4.16838 | + | 2.67886i | 1.38946 | + | 0.892952i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.10463 | + | 4.60849i | 0.634569 | + | 1.38951i | 0.904434 | + | 0.426613i | \(0.140293\pi\) |
−0.269866 | + | 0.962898i | \(0.586979\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.740487 | − | 5.15020i | −0.205374 | − | 1.42841i | −0.788004 | − | 0.615670i | \(-0.788885\pi\) |
0.582630 | − | 0.812738i | \(-0.302024\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.70621 | − | 0.794614i | 0.698739 | − | 0.205168i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 3.58038 | − | 4.13197i | 0.868369 | − | 1.00215i | −0.131572 | − | 0.991307i | \(-0.542003\pi\) |
0.999941 | − | 0.0108444i | \(-0.00345196\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.35198 | − | 5.02245i | −0.998412 | − | 1.15223i | −0.988338 | − | 0.152279i | \(-0.951339\pi\) |
−0.0100742 | − | 0.999949i | \(-0.503207\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.41130 | − | 3.09031i | 0.307971 | − | 0.674362i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.57265 | − | 4.04740i | −0.536435 | − | 0.843942i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.415415 | − | 0.909632i | 0.0830830 | − | 0.181926i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.61083 | − | 4.16711i | −0.694904 | − | 0.801962i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0.744998 | − | 0.859774i | 0.138343 | − | 0.159656i | −0.682350 | − | 0.731025i | \(-0.739042\pi\) |
0.820693 | + | 0.571369i | \(0.193588\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.773413 | − | 0.227094i | 0.138909 | − | 0.0407874i | −0.211539 | − | 0.977370i | \(-0.567848\pi\) |
0.350448 | + | 0.936582i | \(0.386029\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.03358 | − | 14.1439i | −0.354001 | − | 2.46213i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.500380 | − | 1.09568i | −0.0845796 | − | 0.185204i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.750482 | + | 0.482306i | 0.123379 | + | 0.0792906i | 0.600875 | − | 0.799343i | \(-0.294819\pi\) |
−0.477496 | + | 0.878634i | \(0.658455\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.08851 | + | 14.5259i | −0.334429 | + | 2.32600i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.50148 | − | 6.10623i | 1.48388 | − | 0.953633i | 0.487110 | − | 0.873341i | \(-0.338051\pi\) |
0.996771 | − | 0.0802922i | \(-0.0255854\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.84422 | + | 1.71602i | 0.891235 | + | 0.261690i | 0.695123 | − | 0.718891i | \(-0.255350\pi\) |
0.196112 | + | 0.980581i | \(0.437168\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.95496 | −0.738642 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.56689 | 0.520284 | 0.260142 | − | 0.965570i | \(-0.416231\pi\) | ||||
0.260142 | + | 0.965570i | \(0.416231\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.32433 | + | 1.56336i | 0.760618 | + | 0.223338i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −12.9726 | + | 8.33696i | −1.81652 | + | 1.16741i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.33405 | − | 9.27851i | 0.183246 | − | 1.27450i | −0.665779 | − | 0.746149i | \(-0.731901\pi\) |
0.849025 | − | 0.528353i | \(-0.177190\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.26206 | − | 2.73906i | −0.574696 | − | 0.369335i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.78644 | + | 17.0499i | 1.03134 | + | 2.25832i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.929600 | − | 6.46551i | −0.121024 | − | 0.841738i | −0.956400 | − | 0.292060i | \(-0.905659\pi\) |
0.835376 | − | 0.549678i | \(-0.185250\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −11.9880 | + | 3.51999i | −1.53491 | + | 0.450689i | −0.936548 | − | 0.350540i | \(-0.885998\pi\) |
−0.598358 | + | 0.801229i | \(0.704180\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.90847 | + | 4.51062i | −0.492421 | + | 0.568284i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.40734 | + | 3.93228i | 0.422629 | + | 0.487740i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.840823 | + | 1.84115i | −0.102723 | + | 0.224932i | −0.954014 | − | 0.299762i | \(-0.903093\pi\) |
0.851291 | + | 0.524694i | \(0.175820\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.74601 | + | 12.9974i | 0.450966 | + | 1.56470i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.44982 | − | 11.9334i | 0.646774 | − | 1.41624i | −0.247575 | − | 0.968869i | \(-0.579634\pi\) |
0.894349 | − | 0.447369i | \(-0.147639\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.78926 | + | 2.06492i | 0.209417 | + | 0.241680i | 0.850735 | − | 0.525595i | \(-0.176157\pi\) |
−0.641318 | + | 0.767276i | \(0.721612\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.84700 | + | 2.13156i | −0.213274 | + | 0.246131i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.85534 | + | 1.71928i | −0.667278 | + | 0.195931i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.17272 | + | 8.15647i | 0.131942 | + | 0.917674i | 0.943020 | + | 0.332737i | \(0.107972\pi\) |
−0.811078 | + | 0.584938i | \(0.801119\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.285293 | + | 0.624705i | 0.0316992 | + | 0.0694117i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −10.6221 | − | 6.82644i | −1.16593 | − | 0.749299i | −0.193184 | − | 0.981163i | \(-0.561881\pi\) |
−0.972748 | + | 0.231863i | \(0.925518\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.778090 | + | 5.41174i | −0.0843957 | + | 0.586985i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.69931 | + | 1.73474i | −0.289396 | + | 0.185984i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.89031 | + | 2.02318i | 0.730372 | + | 0.214456i | 0.625715 | − | 0.780052i | \(-0.284807\pi\) |
0.104657 | + | 0.994508i | \(0.466626\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.26736 | 0.656998 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.27347 | −0.235748 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 6.37646 | + | 1.87230i | 0.654210 | + | 0.192094i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.54090 | + | 6.13156i | −0.968732 | + | 0.622566i | −0.926401 | − | 0.376538i | \(-0.877115\pi\) |
−0.0423302 | + | 0.999104i | \(0.513478\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.57259 | + | 24.8479i | −0.359059 | + | 2.49731i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.21876 | + | 5.28188i | 0.817797 | + | 0.525566i | 0.881379 | − | 0.472410i | \(-0.156616\pi\) |
−0.0635815 | + | 0.997977i | \(0.520252\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.14524 | + | 4.69743i | 0.211377 | + | 0.462851i | 0.985389 | − | 0.170320i | \(-0.0544801\pi\) |
−0.774012 | + | 0.633171i | \(0.781753\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.483489 | + | 3.36274i | 0.0471837 | + | 0.328170i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.69243 | + | 0.790567i | −0.260287 | + | 0.0764270i | −0.409272 | − | 0.912412i | \(-0.634217\pi\) |
0.148986 | + | 0.988839i | \(0.452399\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.06272 | − | 8.15081i | 0.676486 | − | 0.780706i | −0.308891 | − | 0.951097i | \(-0.599958\pi\) |
0.985376 | + | 0.170392i | \(0.0545032\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.64771 | − | 1.90156i | −0.156394 | − | 0.180488i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.06204 | + | 11.0843i | −0.476197 | + | 1.04273i | 0.507295 | + | 0.861773i | \(0.330646\pi\) |
−0.983492 | + | 0.180953i | \(0.942082\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.35244 | + | 2.01401i | 0.405867 | + | 0.187807i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 10.7100 | − | 23.4516i | 0.990140 | − | 2.16810i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.31267 | + | 4.97709i | 0.395342 | + | 0.456249i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.60524 | + | 11.0850i | −0.873204 | + | 1.00773i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −30.5651 | + | 8.97471i | −2.75596 | + | 0.809222i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0.142315 | + | 0.989821i | 0.0127290 | + | 0.0885323i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.92291 | − | 10.7797i | −0.436838 | − | 0.956541i | −0.992168 | − | 0.124911i | \(-0.960135\pi\) |
0.555330 | − | 0.831630i | \(-0.312592\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −14.4521 | − | 9.28780i | −1.27244 | − | 0.817745i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.842762 | − | 5.86154i | 0.0736324 | − | 0.512125i | −0.919311 | − | 0.393533i | \(-0.871253\pi\) |
0.992943 | − | 0.118592i | \(-0.0378381\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.73414 | − | 4.32777i | 0.583924 | − | 0.375265i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.29053 | + | 1.55344i | 0.455336 | + | 0.133699i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.98201 | −0.169335 | −0.0846673 | − | 0.996409i | \(-0.526983\pi\) | ||||
−0.0846673 | + | 0.996409i | \(0.526983\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.3816 | 1.21983 | 0.609916 | − | 0.792466i | \(-0.291203\pi\) | ||||
0.609916 | + | 0.792466i | \(0.291203\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.65274 | − | 2.83430i | −0.812907 | − | 0.238691i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 22.1762 | − | 14.2518i | 1.85446 | − | 1.19179i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.161904 | + | 1.12606i | −0.0134454 | + | 0.0935145i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −13.1665 | − | 8.46157i | −1.08595 | − | 0.697899i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.66353 | − | 10.2117i | −0.382051 | − | 0.836575i | −0.998779 | − | 0.0493990i | \(-0.984269\pi\) |
0.616728 | − | 0.787176i | \(-0.288458\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.30772 | − | 16.0505i | −0.187800 | − | 1.30617i | −0.837690 | − | 0.546146i | \(-0.816094\pi\) |
0.649890 | − | 0.760028i | \(-0.274815\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 25.9933 | − | 7.63233i | 2.10144 | − | 0.617037i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.527860 | + | 0.609183i | −0.0423987 | + | 0.0489307i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −11.3378 | − | 13.0845i | −0.904856 | − | 1.04426i | −0.998814 | − | 0.0486838i | \(-0.984497\pi\) |
0.0939579 | − | 0.995576i | \(-0.470048\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −10.9830 | + | 24.0495i | −0.871012 | + | 1.90725i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.26661 | − | 2.37348i | 0.415067 | − | 0.187056i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.21179 | + | 4.84315i | −0.173241 | + | 0.379345i | −0.976258 | − | 0.216612i | \(-0.930500\pi\) |
0.803017 | + | 0.595956i | \(0.203227\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 9.35752 | + | 10.7992i | 0.728482 | + | 0.840713i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 6.45793 | − | 7.45285i | 0.499730 | − | 0.576719i | −0.448710 | − | 0.893678i | \(-0.648116\pi\) |
0.948439 | + | 0.316959i | \(0.102662\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.5028 | + | 3.96478i | −1.03868 | + | 0.304983i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.68628 | − | 32.5938i | −0.358369 | − | 2.49251i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.30168 | + | 11.6091i | 0.403079 | + | 0.882620i | 0.996949 | + | 0.0780589i | \(0.0248722\pi\) |
−0.593870 | + | 0.804561i | \(0.702400\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.01332 | + | 0.651218i | 0.0765994 | + | 0.0492275i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.62189 | + | 18.2357i | −0.197074 | + | 1.37068i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.52160 | + | 3.54852i | −0.412704 | + | 0.265229i | −0.730476 | − | 0.682938i | \(-0.760702\pi\) |
0.317772 | + | 0.948167i | \(0.397065\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.96365 | − | 2.33834i | −0.591933 | − | 0.173807i | −0.0279722 | − | 0.999609i | \(-0.508905\pi\) |
−0.563961 | + | 0.825801i | \(0.690723\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 35.2390 | 2.60494 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.892100 | −0.0655885 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 26.5775 | + | 7.80386i | 1.94354 | + | 0.570675i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 5.58730 | − | 3.59074i | 0.406416 | − | 0.261188i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.39275 | + | 16.6420i | −0.173134 | + | 1.20417i | 0.699079 | + | 0.715044i | \(0.253594\pi\) |
−0.872213 | + | 0.489127i | \(0.837316\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −18.8583 | − | 12.1195i | −1.35745 | − | 0.872380i | −0.359303 | − | 0.933221i | \(-0.616985\pi\) |
−0.998147 | + | 0.0608407i | \(0.980622\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.09633 | − | 13.3491i | −0.436567 | − | 0.955948i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.27708 | + | 22.7926i | 0.233482 | + | 1.62390i | 0.682851 | + | 0.730558i | \(0.260740\pi\) |
−0.449368 | + | 0.893347i | \(0.648351\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.45458 | + | 0.427102i | −0.103112 | + | 0.0302765i | −0.332882 | − | 0.942969i | \(-0.608021\pi\) |
0.229769 | + | 0.973245i | \(0.426203\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.73844 | − | 4.31439i | 0.263689 | − | 0.304314i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.897373 | + | 1.03562i | 0.0629832 | + | 0.0726865i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.69188 | + | 10.2738i | −0.327695 | + | 0.717551i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.118607 | − | 23.7629i | 0.00824377 | − | 1.65163i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 13.9866 | − | 30.6264i | 0.967474 | − | 2.11847i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.20121 | − | 8.31063i | −0.495751 | − | 0.572128i | 0.451642 | − | 0.892199i | \(-0.350838\pi\) |
−0.947393 | + | 0.320072i | \(0.896293\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −24.2308 | + | 27.9638i | −1.66027 | + | 1.91605i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −5.84422 | + | 1.71602i | −0.398572 | + | 0.117031i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.138178 | + | 0.961046i | 0.00938010 | + | 0.0652400i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.20130 | − | 7.00987i | −0.216324 | − | 0.473683i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −23.9317 | − | 15.3800i | −1.60982 | − | 1.03457i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.113804 | − | 0.791521i | 0.00762085 | − | 0.0530042i | −0.985656 | − | 0.168766i | \(-0.946022\pi\) |
0.993277 | + | 0.115762i | \(0.0369309\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.16838 | − | 2.67886i | 0.277892 | − | 0.178590i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.30691 | + | 2.73275i | 0.617721 | + | 0.181379i | 0.575598 | − | 0.817733i | \(-0.304769\pi\) |
0.0421236 | + | 0.999112i | \(0.486588\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.95914 | −0.525955 | −0.262977 | − | 0.964802i | \(-0.584704\pi\) | ||||
−0.262977 | + | 0.964802i | \(0.584704\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 17.2119 | 1.13246 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 20.2455 | + | 5.94462i | 1.32633 | + | 0.389445i | 0.866772 | − | 0.498704i | \(-0.166191\pi\) |
0.459555 | + | 0.888149i | \(0.348009\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.00066 | + | 1.92841i | −0.195741 | + | 0.125795i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.30761 | − | 23.0049i | 0.214852 | − | 1.49433i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.59918 | + | 4.24104i | 0.426866 | + | 0.274330i | 0.736384 | − | 0.676563i | \(-0.236532\pi\) |
−0.309519 | + | 0.950893i | \(0.600168\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.12881 | + | 17.7996i | 0.523623 | + | 1.14657i | 0.968050 | + | 0.250759i | \(0.0806800\pi\) |
−0.444427 | + | 0.895815i | \(0.646593\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2.07846 | + | 14.4560i | 0.133333 | + | 0.927353i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.32433 | + | 1.56336i | −0.340159 | + | 0.0998797i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −22.6440 | + | 26.1326i | −1.44080 | + | 1.66278i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 23.3213 | + | 26.9143i | 1.47793 | + | 1.70562i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.09429 | − | 15.5343i | 0.447788 | − | 0.980518i | −0.542315 | − | 0.840175i | \(-0.682452\pi\) |
0.990103 | − | 0.140343i | \(-0.0448206\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.2379 | − | 20.3743i | 0.832261 | − | 1.28092i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 6.40591 | − | 14.0270i | 0.401154 | − | 0.878404i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.737754 | + | 0.851414i | 0.0460199 | + | 0.0531097i | 0.778293 | − | 0.627901i | \(-0.216086\pi\) |
−0.732273 | + | 0.681011i | \(0.761540\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.703688 | + | 0.812099i | −0.0437250 | + | 0.0504614i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.40864 | − | 1.58812i | 0.334787 | − | 0.0983022i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.45958 | − | 17.1068i | −0.151664 | − | 1.05485i | −0.913430 | − | 0.406996i | \(-0.866576\pi\) |
0.761765 | − | 0.647853i | \(-0.224333\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.89407 | + | 8.52682i | 0.239211 | + | 0.523798i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −17.0390 | − | 10.9503i | −1.04277 | − | 0.670146i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.22196 | − | 15.4541i | 0.135475 | − | 0.942252i | −0.802772 | − | 0.596286i | \(-0.796642\pi\) |
0.938247 | − | 0.345966i | \(-0.112449\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.6949 | + | 8.80121i | −0.831909 | + | 0.534635i | −0.885884 | − | 0.463907i | \(-0.846447\pi\) |
0.0539751 | + | 0.998542i | \(0.482811\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −16.9608 | − | 4.98013i | −1.02651 | − | 0.301411i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 5.06632 | 0.305511 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 20.8923 | 1.25530 | 0.627649 | − | 0.778496i | \(-0.284017\pi\) | ||||
0.627649 | + | 0.778496i | \(0.284017\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.83223 | + | 1.12524i | 0.229430 | + | 0.0673666i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.96960 | + | 5.76441i | −0.535081 | + | 0.343876i | −0.780112 | − | 0.625639i | \(-0.784838\pi\) |
0.245031 | + | 0.969515i | \(0.421202\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.39119 | + | 23.5863i | −0.201585 | + | 1.40206i | 0.597995 | + | 0.801500i | \(0.295964\pi\) |
−0.799581 | + | 0.600558i | \(0.794945\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −15.7682 | − | 10.1336i | −0.934030 | − | 0.600265i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.65151 | + | 12.3751i | 0.333598 | + | 0.730477i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.83477 | − | 12.7611i | −0.107927 | − | 0.750652i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 30.6919 | − | 9.01194i | 1.79919 | − | 0.528290i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 6.40460 | − | 7.39130i | 0.374161 | − | 0.431804i | −0.537174 | − | 0.843472i | \(-0.680508\pi\) |
0.911334 | + | 0.411667i | \(0.135053\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.27755 | + | 4.93655i | 0.249048 | + | 0.287417i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.6047 | − | 25.4107i | 0.673371 | − | 1.47448i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −18.9399 | + | 16.2467i | −1.09532 | + | 0.939572i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.04779 | + | 6.67372i | −0.175672 | + | 0.384667i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −18.0446 | − | 20.8246i | −1.03664 | − | 1.19634i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.18189 | − | 9.44241i | 0.468494 | − | 0.540671i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 6.21045 | − | 1.82355i | 0.354449 | − | 0.104076i | −0.0996605 | − | 0.995022i | \(-0.531776\pi\) |
0.454110 | + | 0.890946i | \(0.349957\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.07283 | − | 14.4169i | −0.117919 | − | 0.820146i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −6.63313 | − | 14.5245i | −0.376130 | − | 0.823610i | −0.999143 | − | 0.0413984i | \(-0.986819\pi\) |
0.623013 | − | 0.782212i | \(-0.285909\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −21.9487 | − | 14.1056i | −1.24062 | − | 0.797295i | −0.255106 | − | 0.966913i | \(-0.582110\pi\) |
−0.985510 | + | 0.169618i | \(0.945747\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0.849392 | − | 5.90765i | 0.0478578 | − | 0.332859i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.99536 | + | 3.85299i | −0.336733 | + | 0.216405i | −0.698069 | − | 0.716030i | \(-0.745957\pi\) |
0.361336 | + | 0.932436i | \(0.382321\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.53020 | + | 1.62381i | 0.309632 | + | 0.0909161i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 7.91445 | 0.441742 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −36.3343 | −2.02170 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.99239 | − | 1.46590i | −0.276928 | − | 0.0813134i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −25.5899 | + | 16.4456i | −1.41513 | + | 0.909446i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.611445 | + | 4.25269i | −0.0337101 | + | 0.234459i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.9802 | + | 17.9818i | 1.53793 | + | 0.988369i | 0.988224 | + | 0.153012i | \(0.0488973\pi\) |
0.549708 | + | 0.835357i | \(0.314739\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.83627 | + | 4.02087i | 0.100627 | + | 0.220342i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.288053 | − | 2.00345i | −0.0157380 | − | 0.109460i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 21.3861 | − | 6.27951i | 1.16497 | − | 0.342067i | 0.358609 | − | 0.933488i | \(-0.383251\pi\) |
0.806363 | + | 0.591421i | \(0.201433\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 22.5067 | − | 25.9741i | 1.22240 | − | 1.41072i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.67431 | + | 3.08631i | 0.144822 | + | 0.167133i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −6.27932 | + | 13.7498i | −0.339051 | + | 0.742419i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −10.1782 | − | 8.90884i | −0.547979 | − | 0.479636i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.67998 | + | 10.2477i | −0.251235 | + | 0.550127i | −0.992664 | − | 0.120904i | \(-0.961421\pi\) |
0.741430 | + | 0.671031i | \(0.234148\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.8923 | − | 20.6488i | −0.957753 | − | 1.10531i | −0.994369 | − | 0.105976i | \(-0.966203\pi\) |
0.0366160 | − | 0.999329i | \(-0.488342\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −18.7877 | + | 21.6822i | −1.00281 | + | 1.15731i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 12.0364 | − | 3.53421i | 0.640633 | − | 0.188107i | 0.0547472 | − | 0.998500i | \(-0.482565\pi\) |
0.585886 | + | 0.810393i | \(0.300747\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.86702 | + | 12.9854i | 0.0990913 | + | 0.689195i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −7.71611 | − | 16.8959i | −0.408380 | − | 0.894228i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −13.7867 | − | 8.86018i | −0.727635 | − | 0.467622i | 0.123650 | − | 0.992326i | \(-0.460540\pi\) |
−0.851285 | + | 0.524703i | \(0.824176\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.58131 | + | 24.9085i | −0.188490 | + | 1.31098i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 34.8021 | − | 22.3659i | 1.82664 | − | 1.17391i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.62160 | − | 0.769772i | −0.137221 | − | 0.0402917i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.1591 | 0.686901 | 0.343451 | − | 0.939171i | \(-0.388404\pi\) | ||||
0.343451 | + | 0.939171i | \(0.388404\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 55.9635 | 2.91334 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.8338 | + | 3.18109i | 0.562463 | + | 0.165154i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 3.88256 | − | 2.49517i | 0.201031 | − | 0.129195i | −0.436252 | − | 0.899824i | \(-0.643694\pi\) |
0.637283 | + | 0.770630i | \(0.280058\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.401393 | − | 2.79175i | 0.0207278 | − | 0.144165i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.97967 | − | 3.20024i | −0.256466 | − | 0.164821i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.73076 | − | 21.3074i | −0.499836 | − | 1.09449i | −0.976523 | − | 0.215415i | \(-0.930890\pi\) |
0.476687 | − | 0.879073i | \(-0.341838\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.75673 | + | 33.0838i | 0.243695 | + | 1.69494i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 13.2743 | − | 3.89769i | 0.678286 | − | 0.199163i | 0.0755964 | − | 0.997138i | \(-0.475914\pi\) |
0.602690 | + | 0.797976i | \(0.294096\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.99631 | − | 4.61199i | 0.203671 | − | 0.235049i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 19.7640 | + | 22.8088i | 1.00466 | + | 1.15944i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.32424 | + | 7.27907i | −0.168546 | + | 0.369063i | −0.974991 | − | 0.222246i | \(-0.928661\pi\) |
0.806445 | + | 0.591309i | \(0.201389\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −25.9348 | − | 3.86108i | −1.31158 | − | 0.195263i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.93835 | + | 15.1929i | −0.349993 | + | 0.766378i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.39628 | − | 6.22764i | −0.271516 | − | 0.313346i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −22.7904 | + | 26.3015i | −1.14382 | + | 1.32004i | −0.203759 | + | 0.979021i | \(0.565316\pi\) |
−0.940058 | + | 0.341014i | \(0.889230\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −21.6629 | + | 6.36079i | −1.08450 | + | 0.318438i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.55325 | − | 10.8031i | −0.0775657 | − | 0.539482i | −0.991141 | − | 0.132812i | \(-0.957599\pi\) |
0.913575 | − | 0.406669i | \(-0.133310\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.74228 | − | 3.81507i | −0.0867893 | − | 0.190042i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.577745 | − | 0.371294i | −0.0287084 | − | 0.0184498i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.643215 | + | 4.47366i | −0.0318830 | + | 0.221751i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.5188 | + | 11.9013i | −0.915697 | + | 0.588483i | −0.911406 | − | 0.411508i | \(-0.865002\pi\) |
−0.00429097 | + | 0.999991i | \(0.501366\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.36373 | + | 1.57493i | 0.264573 | + | 0.0776857i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 7.86799 | 0.387158 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.6266 | 0.619814 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −38.9196 | − | 11.4278i | −1.90590 | − | 0.559623i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 17.9113 | − | 11.5109i | 0.875026 | − | 0.562345i | −0.0242603 | − | 0.999706i | \(-0.507723\pi\) |
0.899286 | + | 0.437361i | \(0.144087\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.56949 | + | 31.7815i | −0.222703 | + | 1.54894i | 0.505045 | + | 0.863093i | \(0.331476\pi\) |
−0.727749 | + | 0.685844i | \(0.759433\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 14.8681 | + | 9.55518i | 0.722914 | + | 0.464589i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.27123 | − | 4.97331i | −0.110171 | − | 0.241241i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.14177 | − | 14.8963i | −0.103648 | − | 0.720884i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −71.3379 | + | 20.9467i | −3.44423 | + | 1.01132i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.41985 | + | 1.63859i | −0.0683915 | + | 0.0789280i | −0.788914 | − | 0.614503i | \(-0.789356\pi\) |
0.720523 | + | 0.693431i | \(0.243902\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.09014 | + | 8.18246i | 0.340730 | + | 0.393224i | 0.900092 | − | 0.435700i | \(-0.143499\pi\) |
−0.559362 | + | 0.828924i | \(0.688954\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.33293 | − | 2.91871i | 0.0639091 | − | 0.139941i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −9.13174 | + | 30.5352i | −0.436830 | + | 1.46070i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.4427 | − | 27.2456i | 0.593856 | − | 1.30036i | −0.339228 | − | 0.940704i | \(-0.610166\pi\) |
0.933084 | − | 0.359659i | \(-0.117107\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.0058 | + | 20.7798i | 0.857419 | + | 0.989514i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.825336 | + | 0.952489i | −0.0392129 | + | 0.0452541i | −0.775017 | − | 0.631940i | \(-0.782259\pi\) |
0.735804 | + | 0.677194i | \(0.236804\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.89031 | + | 2.02318i | −0.326632 | + | 0.0959078i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.50611 | + | 31.3407i | 0.213132 | + | 1.48236i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.4323 | + | 29.4127i | 0.633910 | + | 1.38807i | 0.904957 | + | 0.425504i | \(0.139903\pi\) |
−0.271046 | + | 0.962566i | \(0.587370\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 48.1375 | + | 30.9361i | 2.26671 | + | 1.45672i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −6.50882 | + | 45.2698i | −0.305811 | + | 2.12696i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.27244 | + | 3.38839i | −0.247176 | + | 0.158850i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.09003 | − | 1.49457i | −0.238102 | − | 0.0699130i | 0.160505 | − | 0.987035i | \(-0.448688\pi\) |
−0.398606 | + | 0.917122i | \(0.630506\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −30.1465 | −1.40712 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −11.5693 | −0.538838 | −0.269419 | − | 0.963023i | \(-0.586832\pi\) | ||||
−0.269419 | + | 0.963023i | \(0.586832\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −34.0145 | − | 9.98755i | −1.58079 | − | 0.464161i | −0.630669 | − | 0.776052i | \(-0.717219\pi\) |
−0.950118 | + | 0.311891i | \(0.899038\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.91256 | − | 1.22913i | 0.0886929 | − | 0.0569995i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −5.74049 | + | 39.9260i | −0.265638 | + | 1.84755i | 0.222683 | + | 0.974891i | \(0.428519\pi\) |
−0.488321 | + | 0.872664i | \(0.662391\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.05101 | − | 1.31810i | −0.0947067 | − | 0.0608643i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 20.2853 | + | 44.4186i | 0.934698 | + | 2.04670i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.39165 | + | 30.5446i | 0.201928 | + | 1.40444i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.37646 | + | 1.87230i | −0.292572 | + | 0.0859068i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 30.4166 | − | 35.1026i | 1.39268 | − | 1.60724i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.2915 | − | 11.8771i | −0.470233 | − | 0.542678i | 0.470244 | − | 0.882537i | \(-0.344166\pi\) |
−0.940476 | + | 0.339859i | \(0.889621\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.92825 | − | 4.22227i | 0.0879205 | − | 0.192519i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −16.1385 | + | 2.23821i | −0.734328 | + | 0.101842i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.71134 | − | 10.3164i | 0.213931 | − | 0.468444i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.86741 | − | 9.07947i | −0.356506 | − | 0.411430i | 0.548960 | − | 0.835849i | \(-0.315024\pi\) |
−0.905466 | + | 0.424419i | \(0.860479\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.83400 | − | 11.3490i | 0.444709 | − | 0.513221i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 31.5084 | − | 9.25170i | 1.42195 | − | 0.417523i | 0.521790 | − | 0.853074i | \(-0.325265\pi\) |
0.900164 | + | 0.435551i | \(0.143446\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.885189 | − | 6.15663i | −0.0398669 | − | 0.277281i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.4283 | − | 22.8349i | −0.468719 | − | 1.02635i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 13.2937 | + | 8.54331i | 0.596302 | + | 0.383220i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.05589 | − | 14.2990i | 0.0920344 | − | 0.640113i | −0.890631 | − | 0.454726i | \(-0.849737\pi\) |
0.982666 | − | 0.185387i | \(-0.0593538\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −23.3986 | + | 15.0374i | −1.04537 | + | 0.671821i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.19423 | − | 0.350657i | −0.0532479 | − | 0.0156350i | 0.255000 | − | 0.966941i | \(-0.417924\pi\) |
−0.308248 | + | 0.951306i | \(0.599743\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.76966 | −0.434744 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 39.6918 | 1.76278 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 24.3667 | + | 7.15471i | 1.08004 | + | 0.317127i | 0.772893 | − | 0.634536i | \(-0.218809\pi\) |
0.307143 | + | 0.951664i | \(0.400627\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.76866 | + | 1.77931i | −0.122478 | + | 0.0787120i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −5.21489 | + | 36.2704i | −0.230243 | + | 1.60138i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −4.34432 | − | 2.79192i | −0.191433 | − | 0.123027i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.50697 | + | 16.4380i | 0.330156 | + | 0.722941i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −5.12272 | − | 35.6293i | −0.224862 | − | 1.56395i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.63827 | + | 1.65554i | −0.247017 | + | 0.0725307i | −0.402897 | − | 0.915245i | \(-0.631997\pi\) |
0.155880 | + | 0.987776i | \(0.450179\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −9.28134 | + | 10.7112i | −0.405845 | + | 0.468370i | −0.921473 | − | 0.388443i | \(-0.873013\pi\) |
0.515628 | + | 0.856812i | \(0.327559\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.22477 | − | 2.56753i | −0.0970971 | − | 0.112056i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.83076 | − | 4.00881i | 0.0797492 | − | 0.174626i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.76291 | + | 20.8251i | −0.424475 | + | 0.905440i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.4452 | − | 29.4410i | 0.583474 | − | 1.27763i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −38.4840 | − | 44.4129i | −1.66693 | − | 1.92374i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.83760 | − | 2.12070i | 0.0794463 | − | 0.0916860i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 17.7623 | − | 5.21548i | 0.766500 | − | 0.225065i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.00098 | + | 27.8274i | 0.172334 | + | 1.19861i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.26843 | − | 7.15687i | −0.140521 | − | 0.307698i | 0.826267 | − | 0.563279i | \(-0.190460\pi\) |
−0.966788 | + | 0.255581i | \(0.917733\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 19.6932 | + | 12.6560i | 0.845116 | + | 0.543123i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −1.53487 | + | 10.6753i | −0.0657468 | + | 0.457279i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 21.4552 | − | 13.7884i | 0.917358 | − | 0.589550i | 0.00546775 | − | 0.999985i | \(-0.498260\pi\) |
0.911890 | + | 0.410435i | \(0.134623\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −59.4001 | − | 17.4414i | −2.53513 | − | 0.744383i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.56038 | −0.322083 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.92574 | −0.422085 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.41421 | + | 0.708875i | 0.102477 | + | 0.0300901i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 16.8698 | − | 10.8415i | 0.714794 | − | 0.459370i | −0.132028 | − | 0.991246i | \(-0.542149\pi\) |
0.846823 | + | 0.531876i | \(0.178513\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.51026 | − | 31.3696i | 0.190764 | − | 1.32679i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −65.7232 | − | 42.2377i | −2.77483 | − | 1.78328i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 15.9926 | + | 35.0189i | 0.674008 | + | 1.47587i | 0.868870 | + | 0.495040i | \(0.164847\pi\) |
−0.194862 | + | 0.980831i | \(0.562426\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.73418 | − | 12.0615i | −0.0729574 | − | 0.507430i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.793723 | + | 0.233058i | −0.0333332 | + | 0.00978752i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 19.7775 | − | 22.8245i | 0.829118 | − | 0.956853i | −0.170476 | − | 0.985362i | \(-0.554530\pi\) |
0.999594 | + | 0.0285090i | \(0.00907591\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.5327 | − | 21.3879i | −0.775570 | − | 0.895056i | 0.221211 | − | 0.975226i | \(-0.428999\pi\) |
−0.996781 | + | 0.0801704i | \(0.974454\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 19.6992 | − | 43.1353i | 0.822947 | − | 1.80200i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.75036 | + | 0.658816i | −0.198104 | + | 0.0274745i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.9878 | − | 24.0599i | 0.457427 | − | 1.00163i | −0.530639 | − | 0.847598i | \(-0.678048\pi\) |
0.988066 | − | 0.154028i | \(-0.0492246\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 41.4041 | + | 47.7829i | 1.72070 | + | 1.98579i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 9.95984 | − | 11.4943i | 0.413204 | − | 0.476862i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 45.5676 | − | 13.3798i | 1.88722 | − | 0.554137i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.66908 | + | 25.5190i | 0.151698 | + | 1.05508i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −8.94537 | − | 19.5876i | −0.369215 | − | 0.808468i | −0.999485 | − | 0.0320917i | \(-0.989783\pi\) |
0.630270 | − | 0.776376i | \(-0.282944\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.50644 | − | 2.89612i | −0.185685 | − | 0.119332i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.24285 | − | 64.2855i | 0.380200 | − | 2.64435i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −21.2113 | + | 13.6316i | −0.871042 | + | 0.559785i | −0.898071 | − | 0.439850i | \(-0.855032\pi\) |
0.0270294 | + | 0.999635i | \(0.491395\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.31887 | − | 1.85539i | −0.259048 | − | 0.0760634i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 4.27577 | 0.174995 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −14.2371 | −0.581712 | −0.290856 | − | 0.956767i | \(-0.593940\pi\) | ||||
−0.290856 | + | 0.956767i | \(0.593940\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −12.2376 | − | 3.59329i | −0.499183 | − | 0.146573i | 0.0224420 | − | 0.999748i | \(-0.492856\pi\) |
−0.521625 | + | 0.853175i | \(0.674674\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −8.43703 | + | 5.42215i | −0.343583 | + | 0.220807i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 2.08742 | − | 14.5183i | 0.0848656 | − | 0.590253i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −27.2922 | − | 17.5396i | −1.10776 | − | 0.711911i | −0.146953 | − | 0.989144i | \(-0.546947\pi\) |
−0.960803 | + | 0.277232i | \(0.910583\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −1.60556 | − | 3.51568i | −0.0650604 | − | 0.142462i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.64123 | − | 18.3702i | −0.106853 | − | 0.743178i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.5343 | − | 7.20391i | 0.990930 | − | 0.290963i | 0.254201 | − | 0.967151i | \(-0.418188\pi\) |
0.736729 | + | 0.676188i | \(0.236369\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 20.8609 | − | 24.0747i | 0.841191 | − | 0.970786i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.8450 | + | 13.6699i | 0.476863 | + | 0.550330i | 0.942308 | − | 0.334747i | \(-0.108651\pi\) |
−0.465445 | + | 0.885077i | \(0.654106\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 19.0204 | − | 41.6488i | 0.764493 | − | 1.67401i | 0.0260792 | − | 0.999660i | \(-0.491698\pi\) |
0.738414 | − | 0.674347i | \(-0.235575\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −7.57658 | + | 25.3350i | −0.304038 | + | 1.01666i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −3.59333 | + | 7.86829i | −0.143964 | + | 0.315236i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.654861 | − | 0.755750i | −0.0261944 | − | 0.0302300i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −62.1868 | + | 71.7674i | −2.48350 | + | 2.86611i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.67988 | − | 1.37414i | 0.186599 | − | 0.0547905i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.55425 | + | 31.6755i | 0.181302 | + | 1.26098i | 0.853690 | + | 0.520782i | \(0.174360\pi\) |
−0.672388 | + | 0.740199i | \(0.734731\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 12.8842 | + | 28.2125i | 0.512101 | + | 1.12134i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9.96934 | + | 6.40691i | 0.395621 | + | 0.254250i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.10904 | − | 28.5790i | 0.162806 | − | 1.13234i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 54.6848 | − | 35.1438i | 2.16330 | − | 1.39027i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.1003 | + | 6.78287i | 0.912408 | + | 0.267907i | 0.704054 | − | 0.710146i | \(-0.251371\pi\) |
0.208354 | + | 0.978053i | \(0.433189\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.67481 | 0.223793 | 0.111896 | − | 0.993720i | \(-0.464308\pi\) | ||||
0.111896 | + | 0.993720i | \(0.464308\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 17.1792 | 0.676432 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −47.4863 | − | 13.9432i | −1.86688 | − | 0.548165i | −0.998647 | − | 0.0520039i | \(-0.983439\pi\) |
−0.868231 | − | 0.496161i | \(-0.834743\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.8398 | − | 17.8915i | 1.09281 | − | 0.702304i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.389723 | − | 2.71059i | 0.0152745 | − | 0.106236i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 5.03281 | + | 3.23439i | 0.196949 | + | 0.126571i | 0.635399 | − | 0.772184i | \(-0.280836\pi\) |
−0.438450 | + | 0.898756i | \(0.644472\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.46001 | + | 5.38667i | 0.0961205 | + | 0.210475i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 1.92671 | + | 13.4005i | 0.0751680 | + | 0.522805i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 32.8569 | − | 9.64764i | 1.27992 | − | 0.375819i | 0.430048 | − | 0.902806i | \(-0.358497\pi\) |
0.849873 | + | 0.526987i | \(0.176678\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.8618 | + | 15.9974i | −0.539162 | + | 0.622226i | −0.958323 | − | 0.285685i | \(-0.907779\pi\) |
0.419161 | + | 0.907912i | \(0.362324\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 52.5430 | + | 60.6378i | 2.04060 | + | 2.35498i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.32535 | + | 7.28150i | −0.128952 | + | 0.282365i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.39647 | − | 0.803407i | −0.208952 | − | 0.0311081i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.936929 | + | 2.05159i | −0.0362238 | + | 0.0793190i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −41.4521 | − | 47.8383i | −1.60024 | − | 1.84678i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.0620 | − | 17.3825i | 0.580597 | − | 0.670045i | −0.387136 | − | 0.922023i | \(-0.626536\pi\) |
0.967733 | + | 0.251978i | \(0.0810810\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.29053 | + | 1.55344i | −0.203633 | + | 0.0597919i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.29168 | − | 15.9390i | −0.0880765 | − | 0.612585i | −0.985277 | − | 0.170963i | \(-0.945312\pi\) |
0.897201 | − | 0.441622i | \(-0.145597\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.67495 | − | 12.4264i | −0.217785 | − | 0.476882i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.0149 | − | 14.7908i | −0.881934 | − | 0.566785i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.41816 | + | 16.8186i | −0.0925281 | + | 0.643547i | 0.889796 | + | 0.456359i | \(0.150847\pi\) |
−0.982324 | + | 0.187189i | \(0.940062\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.66737 | − | 1.07156i | 0.0637071 | − | 0.0409420i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 21.5391 | + | 6.32444i | 0.821766 | + | 0.241292i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −48.7740 | −1.85814 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.5830 | −0.592805 | −0.296403 | − | 0.955063i | \(-0.595787\pi\) | ||||
−0.296403 | + | 0.955063i | \(0.595787\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −29.0130 | − | 8.51898i | −1.10211 | − | 0.323609i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −12.0986 | + | 7.77528i | −0.458925 | + | 0.294933i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.78808 | − | 61.1225i | 0.332872 | − | 2.31518i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −50.0648 | − | 32.1747i | −1.89363 | − | 1.21696i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.58041 | + | 5.65030i | 0.0974606 | + | 0.213409i | 0.952082 | − | 0.305843i | \(-0.0989381\pi\) |
−0.854622 | + | 0.519251i | \(0.826211\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.843725 | − | 5.86824i | −0.0318217 | − | 0.221325i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 9.65274 | − | 2.83430i | 0.363543 | − | 0.106746i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.70630 | + | 8.89355i | −0.289825 | + | 0.334476i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.73502 | + | 2.00232i | 0.0651601 | + | 0.0751988i | 0.787394 | − | 0.616450i | \(-0.211430\pi\) |
−0.722234 | + | 0.691649i | \(0.756884\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −16.9616 | + | 37.1408i | −0.636111 | + | 1.39289i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.90887 | − | 2.54608i | −0.108938 | − | 0.0953513i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.9507 | + | 23.9787i | −0.409533 | + | 0.896752i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −14.4888 | − | 16.7209i | −0.541093 | − | 0.624454i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.60585 | + | 4.16138i | −0.134476 | + | 0.155193i | −0.818993 | − | 0.573803i | \(-0.805467\pi\) |
0.684518 | + | 0.728996i | \(0.260013\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.96835 | + | 1.75246i | −0.222273 | + | 0.0652652i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −7.85442 | − | 54.6287i | −0.292109 | − | 2.03166i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.472594 | − | 1.03484i | −0.0175517 | − | 0.0384329i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 32.1763 | + | 20.6784i | 1.19335 | + | 0.766920i | 0.977793 | − | 0.209571i | \(-0.0672067\pi\) |
0.215558 | + | 0.976491i | \(0.430843\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 6.15541 | − | 42.8118i | 0.227978 | − | 1.58562i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 28.0150 | − | 18.0042i | 1.03617 | − | 0.665909i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.7810 | + | 6.68911i | 0.841437 | + | 0.247068i | 0.673923 | − | 0.738802i | \(-0.264608\pi\) |
0.167514 | + | 0.985870i | \(0.446426\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 15.6510 | 0.577296 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −10.2545 | −0.377730 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 37.0259 | + | 10.8718i | 1.36202 | + | 0.399925i | 0.879474 | − | 0.475946i | \(-0.157894\pi\) |
0.482545 | + | 0.875871i | \(0.339712\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 82.0447 | − | 52.7269i | 3.01399 | − | 1.93697i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −0.720350 | + | 5.01014i | −0.0264271 | + | 0.183804i | −0.998759 | − | 0.0497979i | \(-0.984142\pi\) |
0.972332 | + | 0.233602i | \(0.0750514\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.44407 | + | 6.06934i | 0.346004 | + | 0.222363i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −25.9901 | − | 56.9104i | −0.950928 | − | 2.08224i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.481027 | − | 3.34562i | −0.0175764 | − | 0.122246i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 28.8878 | − | 8.48222i | 1.05413 | − | 0.309520i | 0.291645 | − | 0.956527i | \(-0.405797\pi\) |
0.762485 | + | 0.647006i | \(0.223979\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −31.5424 | + | 36.4019i | −1.14947 | + | 1.32656i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.6190 | + | 12.2549i | 0.386463 | + | 0.446002i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −13.6934 | + | 29.9845i | −0.497697 | + | 1.08980i | 0.479514 | + | 0.877534i | \(0.340813\pi\) |
−0.977211 | + | 0.212270i | \(0.931914\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −52.0143 | + | 44.6180i | −1.88800 | + | 1.61953i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17.9251 | + | 39.2504i | −0.649783 | + | 1.42283i | 0.241961 | + | 0.970286i | \(0.422209\pi\) |
−0.891744 | + | 0.452540i | \(0.850518\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.50726 | + | 9.81790i | 0.307983 | + | 0.355432i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −17.7406 | + | 20.4738i | −0.641414 | + | 0.740231i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −32.6103 | + | 9.57525i | −1.17749 | + | 0.345742i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.50569 | + | 38.2929i | 0.198540 | + | 1.38088i | 0.808523 | + | 0.588464i | \(0.200267\pi\) |
−0.609983 | + | 0.792414i | \(0.708824\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.31997 | − | 2.89033i | −0.0475376 | − | 0.104093i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.4203 | + | 9.91000i | 0.554628 | + | 0.356438i | 0.787736 | − | 0.616013i | \(-0.211253\pi\) |
−0.233108 | + | 0.972451i | \(0.574889\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.114715 | − | 0.797860i | 0.00412068 | − | 0.0286600i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.54963 | − | 1.63855i | 0.0914675 | − | 0.0587826i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −72.0184 | − | 21.1465i | −2.58033 | − | 0.757653i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 66.4649 | 2.37830 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.27283 | −0.224173 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 16.6120 | + | 4.87773i | 0.592908 | + | 0.174094i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 17.4175 | − | 11.1936i | 0.620869 | − | 0.399008i | −0.192050 | − | 0.981385i | \(-0.561514\pi\) |
0.812919 | + | 0.582377i | \(0.197877\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.93714 | + | 48.2489i | −0.246969 | + | 1.71771i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −12.3478 | − | 7.93542i | −0.439036 | − | 0.282151i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 27.0056 | + | 59.1341i | 0.958998 | + | 2.09991i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −3.76262 | − | 26.1696i | −0.133446 | − | 0.928141i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 16.6326 | − | 4.88378i | 0.589158 | − | 0.172992i | 0.0264529 | − | 0.999650i | \(-0.491579\pi\) |
0.562705 | + | 0.826658i | \(0.309761\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.7708 | − | 14.7383i | 0.451799 | − | 0.521403i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 23.3016 | + | 26.8915i | 0.823323 | + | 0.950165i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.75042 | + | 12.5917i | −0.202928 | + | 0.444351i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.14735 | + | 4.84404i | −0.110930 | + | 0.170730i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −18.2931 | + | 40.0563i | −0.643948 | + | 1.41005i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 16.0828 | + | 18.5605i | 0.565439 | + | 0.652552i | 0.964410 | − | 0.264412i | \(-0.0851778\pi\) |
−0.398970 | + | 0.916964i | \(0.630632\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.9663 | + | 12.6558i | −0.385079 | + | 0.444405i | −0.914885 | − | 0.403714i | \(-0.867719\pi\) |
0.529806 | + | 0.848119i | \(0.322265\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 44.0549 | − | 12.9357i | 1.54507 | − | 0.453674i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −0.757726 | − | 5.27010i | −0.0265420 | − | 0.184604i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −16.8153 | − | 36.8204i | −0.588293 | − | 1.28818i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 26.1247 | + | 16.7894i | 0.912872 | + | 0.586667i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.34047 | + | 23.2335i | −0.116583 | + | 0.810854i | 0.844690 | + | 0.535256i | \(0.179785\pi\) |
−0.961273 | + | 0.275598i | \(0.911124\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.60227 | − | 3.60036i | 0.195283 | − | 0.125501i | −0.439345 | − | 0.898318i | \(-0.644790\pi\) |
0.634628 | + | 0.772818i | \(0.281153\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −13.7105 | − | 4.02577i | −0.477339 | − | 0.140159i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 40.7873 | 1.41831 | 0.709156 | − | 0.705051i | \(-0.249076\pi\) | ||||
0.709156 | + | 0.705051i | \(0.249076\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.9533 | 0.623545 | 0.311772 | − | 0.950157i | \(-0.399077\pi\) | ||||
0.311772 | + | 0.950157i | \(0.399077\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −56.5389 | − | 16.6013i | −1.96131 | − | 0.575894i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 25.5229 | − | 16.4026i | 0.884315 | − | 0.568315i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.40344 | + | 9.76115i | −0.0485681 | + | 0.337799i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.73899 | − | 2.40290i | −0.129238 | − | 0.0830564i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.44458 | − | 11.9220i | −0.187968 | − | 0.411592i | 0.792063 | − | 0.610440i | \(-0.209007\pi\) |
−0.980030 | + | 0.198848i | \(0.936280\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.94294 | + | 27.4238i | 0.135964 | + | 0.945647i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 28.8541 | − | 8.47231i | 0.993786 | − | 0.291802i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.21576 | − | 10.6356i | 0.317032 | − | 0.365874i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.5698 | − | 13.3523i | −0.397543 | − | 0.458789i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 27.9192 | − | 61.1346i | 0.958186 | − | 2.09813i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.0213542 | − | 4.27831i | 0.000732014 | − | 0.146658i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.46367 | + | 20.7226i | −0.324030 | + | 0.709527i | −0.999615 | − | 0.0277557i | \(-0.991164\pi\) |
0.675585 | + | 0.737282i | \(0.263891\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 21.5639 | + | 24.8860i | 0.737469 | + | 0.851085i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 22.7300 | − | 26.2318i | 0.776441 | − | 0.896060i | −0.220406 | − | 0.975408i | \(-0.570738\pi\) |
0.996847 | + | 0.0793479i | \(0.0252838\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −44.4697 | + | 13.0575i | −1.51729 | + | 0.445516i | −0.931132 | − | 0.364683i | \(-0.881177\pi\) |
−0.586155 | + | 0.810199i | \(0.699359\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.46074 | − | 37.9803i | −0.186101 | − | 1.29436i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −3.04819 | − | 6.67461i | −0.103762 | − | 0.227206i | 0.850629 | − | 0.525766i | \(-0.176221\pi\) |
−0.954391 | + | 0.298559i | \(0.903494\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −10.7364 | − | 6.89986i | −0.365048 | − | 0.234602i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.17488 | + | 35.9920i | −0.175748 | + | 1.22235i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −35.1208 | + | 22.5708i | −1.19139 | + | 0.765662i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.1049 | + | 2.96706i | 0.342391 | + | 0.100535i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −56.1957 | −1.90193 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.20453 | −0.0407206 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −39.9113 | − | 11.7190i | −1.34771 | − | 0.395723i | −0.473294 | − | 0.880905i | \(-0.656935\pi\) |
−0.874413 | + | 0.485182i | \(0.838753\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −23.2054 | + | 14.9132i | −0.782699 | + | 0.503010i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.13801 | − | 21.8253i | 0.105722 | − | 0.735314i | −0.866146 | − | 0.499791i | \(-0.833410\pi\) |
0.971869 | − | 0.235524i | \(-0.0756806\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.1537 | + | 9.73871i | 0.509963 | + | 0.327734i | 0.770191 | − | 0.637814i | \(-0.220161\pi\) |
−0.260227 | + | 0.965547i | \(0.583797\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −7.65327 | − | 16.7583i | −0.257262 | − | 0.563325i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.07087 | + | 7.44808i | 0.0359564 | + | 0.250082i | 0.999870 | − | 0.0161336i | \(-0.00513572\pi\) |
−0.963913 | + | 0.266216i | \(0.914227\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.6962 | − | 4.02156i | 0.459355 | − | 0.134879i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.27851 | + | 2.62954i | −0.0763329 | + | 0.0880929i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −15.5230 | − | 17.9145i | −0.519458 | − | 0.599486i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 2.72659 | − | 5.97041i | 0.0911400 | − | 0.199569i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 64.1651 | − | 28.9171i | 2.14241 | − | 0.965512i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.380941 | − | 0.834145i | 0.0127051 | − | 0.0278203i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −33.5622 | − | 38.7328i | −1.11812 | − | 1.29038i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.5510 | − | 15.6387i | 0.450948 | − | 0.520422i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.96365 | − | 2.33834i | 0.264721 | − | 0.0777290i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.02183 | + | 14.0622i | 0.0671339 | + | 0.466927i | 0.995462 | + | 0.0951638i | \(0.0303375\pi\) |
−0.928328 | + | 0.371763i | \(0.878753\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 20.1095 | + | 44.0337i | 0.666991 | + | 1.46051i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.6925 | − | 18.4396i | −0.950626 | − | 0.610930i | −0.0292371 | − | 0.999573i | \(-0.509308\pi\) |
−0.921389 | + | 0.388642i | \(0.872944\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 9.10392 | − | 63.3191i | 0.301296 | − | 2.09556i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −29.6450 | + | 19.0517i | −0.980032 | + | 0.629828i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.84407 | + | 2.00960i | 0.226011 | + | 0.0663628i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.02662 | 0.0338652 | 0.0169326 | − | 0.999857i | \(-0.494610\pi\) | ||||
0.0169326 | + | 0.999857i | \(0.494610\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −18.2558 | −0.601548 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −65.4950 | − | 19.2311i | −2.15580 | − | 0.632999i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.750482 | − | 0.482306i | 0.0246757 | − | 0.0158581i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −3.64154 | + | 25.3275i | −0.119604 | + | 0.831863i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −44.7473 | − | 28.7573i | −1.46811 | − | 0.943498i | −0.998149 | − | 0.0608107i | \(-0.980631\pi\) |
−0.469962 | − | 0.882687i | \(-0.655732\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.3194 | − | 33.5449i | −0.502074 | − | 1.09939i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 6.40922 | + | 44.5771i | 0.209829 | + | 1.45939i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −26.5775 | + | 7.80386i | −0.869177 | + | 0.255213i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 16.1964 | − | 18.6916i | 0.529112 | − | 0.610628i | −0.426776 | − | 0.904357i | \(-0.640351\pi\) |
0.955889 | + | 0.293729i | \(0.0948963\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 48.1893 | + | 55.6134i | 1.57260 | + | 1.81488i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.69474 | + | 10.2800i | −0.153044 | + | 0.335120i | −0.970588 | − | 0.240746i | \(-0.922608\pi\) |
0.817544 | + | 0.575866i | \(0.195335\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −49.1584 | − | 22.7471i | −1.60082 | − | 0.740747i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −2.75904 | + | 6.04145i | −0.0897515 | + | 0.196528i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 32.8498 | + | 37.9107i | 1.06747 | + | 1.23193i | 0.971623 | + | 0.236536i | \(0.0760121\pi\) |
0.0958521 | + | 0.995396i | \(0.469442\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 9.30981 | − | 10.7441i | 0.302209 | − | 0.348768i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 19.2863 | − | 5.66298i | 0.625402 | − | 0.183635i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1.14376 | + | 7.95501i | 0.0370499 | + | 0.257688i | 0.999925 | − | 0.0122600i | \(-0.00390258\pi\) |
−0.962875 | + | 0.269948i | \(0.912993\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.98442 | − | 15.2937i | −0.226010 | − | 0.494894i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −13.6756 | − | 8.78874i | −0.442068 | − | 0.284100i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.339761 | − | 2.36309i | 0.0109715 | − | 0.0763082i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.5323 | + | 16.4086i | −0.823621 | + | 0.529309i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −13.3409 | − | 3.91723i | −0.429903 | − | 0.126231i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 22.4169 | 0.721626 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.97557 | 0.224319 | 0.112160 | − | 0.993690i | \(-0.464223\pi\) | ||||
0.112160 | + | 0.993690i | \(0.464223\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 98.3282 | + | 28.8718i | 3.15876 | + | 0.927495i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 2.54343 | − | 1.63457i | 0.0816227 | − | 0.0524557i | −0.499193 | − | 0.866491i | \(-0.666370\pi\) |
0.580816 | + | 0.814035i | \(0.302734\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.46533 | + | 17.1467i | −0.0790349 | + | 0.549700i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 12.3456 | + | 7.93405i | 0.395376 | + | 0.254093i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.34135 | + | 5.12683i | 0.0749063 | + | 0.164022i | 0.943381 | − | 0.331712i | \(-0.107626\pi\) |
−0.868474 | + | 0.495734i | \(0.834899\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.17774 | + | 36.0119i | 0.165481 | + | 1.15095i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 51.2749 | − | 15.0557i | 1.63708 | − | 0.480691i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −26.2948 | + | 30.3458i | −0.838673 | + | 0.967880i | −0.999819 | − | 0.0190508i | \(-0.993936\pi\) |
0.161146 | + | 0.986931i | \(0.448481\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.0795 | − | 17.4026i | −0.480471 | − | 0.554494i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 5.03395 | − | 11.0228i | 0.160232 | − | 0.350860i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −8.08974 | − | 28.0686i | −0.257239 | − | 0.892530i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.5805 | + | 29.7372i | −0.431399 | + | 0.944633i | 0.561698 | + | 0.827342i | \(0.310148\pi\) |
−0.993098 | + | 0.117291i | \(0.962579\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −61.4317 | − | 70.8959i | −1.94947 | − | 2.24981i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.992759 | − | 1.14571i | 0.0314726 | − | 0.0363213i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 29.1902 | − | 8.57102i | 0.924463 | − | 0.271447i | 0.215346 | − | 0.976538i | \(-0.430912\pi\) |
0.709117 | + | 0.705091i | \(0.249094\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.700037 | − | 4.86887i | −0.0221482 | − | 0.154044i |
(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 | 460.2.m.b.121.1 | ✓ | 50 | |
23.4 | even | 11 | inner | 460.2.m.b.441.1 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.m.b.121.1 | ✓ | 50 | 1.1 | even | 1 | trivial | |
460.2.m.b.441.1 | yes | 50 | 23.4 | even | 11 | inner |