Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 351.3 | ||
Character | \(\chi\) | \(=\) | 950.351 |
Dual form | 950.2.l.j.701.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | 0.654394 | − | 0.549102i | 0.377815 | − | 0.317024i | −0.434029 | − | 0.900899i | \(-0.642909\pi\) |
0.811844 | + | 0.583875i | \(0.198464\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.654394 | − | 0.549102i | −0.267155 | − | 0.224170i | ||||
\(7\) | −1.39086 | + | 2.40903i | −0.525694 | + | 0.910529i | 0.473858 | + | 0.880601i | \(0.342861\pi\) |
−0.999552 | + | 0.0299274i | \(0.990472\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −0.394226 | + | 2.23577i | −0.131409 | + | 0.745255i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.58300 | − | 2.74184i | −0.477293 | − | 0.826695i | 0.522368 | − | 0.852720i | \(-0.325049\pi\) |
−0.999661 | + | 0.0260244i | \(0.991715\pi\) | |||||||
\(12\) | −0.427125 | + | 0.739803i | −0.123300 | + | 0.213563i | ||||
\(13\) | −3.68105 | − | 3.08877i | −1.02094 | − | 0.856670i | −0.0311941 | − | 0.999513i | \(-0.509931\pi\) |
−0.989745 | + | 0.142844i | \(0.954375\pi\) | |||||||
\(14\) | 2.61395 | + | 0.951401i | 0.698608 | + | 0.254273i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.235648 | + | 1.33642i | 0.0571530 | + | 0.324131i | 0.999958 | − | 0.00921543i | \(-0.00293340\pi\) |
−0.942805 | + | 0.333346i | \(0.891822\pi\) | |||||||
\(18\) | 2.27026 | 0.535104 | ||||||||
\(19\) | 4.15700 | + | 1.31125i | 0.953681 | + | 0.300820i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.412636 | + | 2.34018i | 0.0900447 | + | 0.510669i | ||||
\(22\) | −2.42530 | + | 2.03507i | −0.517075 | + | 0.433878i | ||||
\(23\) | −5.66623 | + | 2.06234i | −1.18149 | + | 0.430027i | −0.856728 | − | 0.515768i | \(-0.827507\pi\) |
−0.324762 | + | 0.945796i | \(0.605284\pi\) | |||||||
\(24\) | 0.802733 | + | 0.292171i | 0.163857 | + | 0.0596392i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.40263 | + | 4.16148i | −0.471195 | + | 0.816134i | ||||
\(27\) | 2.25106 | + | 3.89895i | 0.433217 | + | 0.750353i | ||||
\(28\) | 0.483039 | − | 2.73945i | 0.0912858 | − | 0.517707i | ||||
\(29\) | −1.81040 | + | 10.2673i | −0.336183 | + | 1.90659i | 0.0790458 | + | 0.996871i | \(0.474813\pi\) |
−0.415229 | + | 0.909717i | \(0.636298\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.80232 | + | 6.58582i | −0.682917 | + | 1.18285i | 0.291169 | + | 0.956672i | \(0.405956\pi\) |
−0.974086 | + | 0.226176i | \(0.927378\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | −2.54146 | − | 0.925014i | −0.442411 | − | 0.161024i | ||||
\(34\) | 1.27520 | − | 0.464135i | 0.218695 | − | 0.0795986i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.394226 | − | 2.23577i | −0.0657043 | − | 0.372628i | ||||
\(37\) | −10.9693 | −1.80335 | −0.901673 | − | 0.432419i | \(-0.857660\pi\) | ||||
−0.901673 | + | 0.432419i | \(0.857660\pi\) | |||||||
\(38\) | 0.569469 | − | 4.32154i | 0.0923801 | − | 0.701046i | ||||
\(39\) | −4.10490 | −0.657311 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.86803 | − | 2.40656i | 0.447910 | − | 0.375841i | −0.390749 | − | 0.920497i | \(-0.627784\pi\) |
0.838660 | + | 0.544656i | \(0.183340\pi\) | |||||||
\(42\) | 2.23297 | − | 0.812735i | 0.344555 | − | 0.125408i | ||||
\(43\) | −1.44447 | − | 0.525743i | −0.220279 | − | 0.0801750i | 0.229523 | − | 0.973303i | \(-0.426283\pi\) |
−0.449802 | + | 0.893128i | \(0.648506\pi\) | |||||||
\(44\) | 2.42530 | + | 2.03507i | 0.365628 | + | 0.306798i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.01494 | + | 5.22203i | 0.444528 | + | 0.769946i | ||||
\(47\) | −0.516096 | + | 2.92693i | −0.0752804 | + | 0.426936i | 0.923753 | + | 0.382988i | \(0.125105\pi\) |
−0.999034 | + | 0.0439484i | \(0.986006\pi\) | |||||||
\(48\) | 0.148339 | − | 0.841273i | 0.0214109 | − | 0.121427i | ||||
\(49\) | −0.368957 | − | 0.639053i | −0.0527082 | − | 0.0912933i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.888040 | + | 0.745154i | 0.124350 | + | 0.104342i | ||||
\(52\) | 4.51548 | + | 1.64350i | 0.626184 | + | 0.227912i | ||||
\(53\) | 4.04911 | − | 1.47376i | 0.556188 | − | 0.202436i | −0.0486055 | − | 0.998818i | \(-0.515478\pi\) |
0.604794 | + | 0.796382i | \(0.293255\pi\) | |||||||
\(54\) | 3.44882 | − | 2.89391i | 0.469326 | − | 0.393811i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.78171 | −0.371722 | ||||||||
\(57\) | 3.44032 | − | 1.42454i | 0.455682 | − | 0.188686i | ||||
\(58\) | 10.4257 | 1.36896 | ||||||||
\(59\) | 0.714103 | + | 4.04988i | 0.0929682 | + | 0.527249i | 0.995351 | + | 0.0963137i | \(0.0307052\pi\) |
−0.902383 | + | 0.430935i | \(0.858184\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.98274 | − | 1.44960i | 0.509937 | − | 0.185602i | −0.0742210 | − | 0.997242i | \(-0.523647\pi\) |
0.584158 | + | 0.811640i | \(0.301425\pi\) | |||||||
\(62\) | 7.14603 | + | 2.60094i | 0.907547 | + | 0.330320i | ||||
\(63\) | −4.83772 | − | 4.05933i | −0.609495 | − | 0.511427i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.469642 | + | 2.66347i | −0.0578089 | + | 0.327851i | ||||
\(67\) | 0.992825 | − | 5.63059i | 0.121293 | − | 0.687886i | −0.862148 | − | 0.506657i | \(-0.830881\pi\) |
0.983441 | − | 0.181230i | \(-0.0580077\pi\) | |||||||
\(68\) | −0.678520 | − | 1.17523i | −0.0822827 | − | 0.142518i | ||||
\(69\) | −2.57551 | + | 4.46092i | −0.310055 | + | 0.537032i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.844623 | − | 0.307418i | −0.100238 | − | 0.0364838i | 0.291414 | − | 0.956597i | \(-0.405874\pi\) |
−0.391652 | + | 0.920113i | \(0.628096\pi\) | |||||||
\(72\) | −2.13334 | + | 0.776473i | −0.251417 | + | 0.0915082i | ||||
\(73\) | 8.01712 | − | 6.72716i | 0.938333 | − | 0.787355i | −0.0389612 | − | 0.999241i | \(-0.512405\pi\) |
0.977294 | + | 0.211886i | \(0.0679604\pi\) | |||||||
\(74\) | 1.90480 | + | 10.8027i | 0.221429 | + | 1.25579i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.35477 | + | 0.189610i | −0.499527 | + | 0.0217497i | ||||
\(77\) | 8.80690 | 1.00364 | ||||||||
\(78\) | 0.712809 | + | 4.04254i | 0.0807097 | + | 0.457728i | ||||
\(79\) | −1.71509 | + | 1.43913i | −0.192963 | + | 0.161915i | −0.734151 | − | 0.678987i | \(-0.762419\pi\) |
0.541187 | + | 0.840902i | \(0.317975\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.78603 | − | 1.01403i | −0.309558 | − | 0.112670i | ||||
\(82\) | −2.86803 | − | 2.40656i | −0.316720 | − | 0.265760i | ||||
\(83\) | −4.16812 | + | 7.21939i | −0.457510 | + | 0.792431i | −0.998829 | − | 0.0483869i | \(-0.984592\pi\) |
0.541319 | + | 0.840818i | \(0.317925\pi\) | |||||||
\(84\) | −1.18814 | − | 2.05792i | −0.129637 | − | 0.224537i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.266927 | + | 1.51382i | −0.0287834 | + | 0.163239i | ||||
\(87\) | 4.45307 | + | 7.71295i | 0.477420 | + | 0.826915i | ||||
\(88\) | 1.58300 | − | 2.74184i | 0.168748 | − | 0.292281i | ||||
\(89\) | −7.26679 | − | 6.09756i | −0.770278 | − | 0.646340i | 0.170502 | − | 0.985357i | \(-0.445461\pi\) |
−0.940780 | + | 0.339017i | \(0.889906\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.5607 | − | 4.57174i | 1.31672 | − | 0.479248i | ||||
\(92\) | 4.61915 | − | 3.87593i | 0.481580 | − | 0.404094i | ||||
\(93\) | 1.12807 | + | 6.39758i | 0.116975 | + | 0.663398i | ||||
\(94\) | 2.97208 | 0.306547 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −0.854251 | −0.0871866 | ||||||||
\(97\) | −0.456661 | − | 2.58985i | −0.0463669 | − | 0.262960i | 0.952808 | − | 0.303573i | \(-0.0981798\pi\) |
−0.999175 | + | 0.0406138i | \(0.987069\pi\) | |||||||
\(98\) | −0.565276 | + | 0.474323i | −0.0571015 | + | 0.0479138i | ||||
\(99\) | 6.75417 | − | 2.45832i | 0.678819 | − | 0.247070i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.2133 | + | 11.0873i | 1.31477 | + | 1.10323i | 0.987386 | + | 0.158335i | \(0.0506125\pi\) |
0.327387 | + | 0.944890i | \(0.393832\pi\) | |||||||
\(102\) | 0.579627 | − | 1.00394i | 0.0573916 | − | 0.0994051i | ||||
\(103\) | −6.08058 | − | 10.5319i | −0.599137 | − | 1.03774i | −0.992949 | − | 0.118545i | \(-0.962177\pi\) |
0.393811 | − | 0.919191i | \(-0.371156\pi\) | |||||||
\(104\) | 0.834426 | − | 4.73227i | 0.0818222 | − | 0.464037i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.15449 | − | 3.73168i | −0.209262 | − | 0.362453i | ||||
\(107\) | −6.97556 | + | 12.0820i | −0.674353 | + | 1.16801i | 0.302305 | + | 0.953211i | \(0.402244\pi\) |
−0.976658 | + | 0.214802i | \(0.931090\pi\) | |||||||
\(108\) | −3.44882 | − | 2.89391i | −0.331863 | − | 0.278466i | ||||
\(109\) | −15.9616 | − | 5.80955i | −1.52884 | − | 0.556454i | −0.565506 | − | 0.824744i | \(-0.691319\pi\) |
−0.963338 | + | 0.268291i | \(0.913541\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.17826 | + | 6.02328i | −0.681330 | + | 0.571704i | ||||
\(112\) | 0.483039 | + | 2.73945i | 0.0456429 | + | 0.258854i | ||||
\(113\) | −0.218859 | −0.0205885 | −0.0102943 | − | 0.999947i | \(-0.503277\pi\) | ||||
−0.0102943 | + | 0.999947i | \(0.503277\pi\) | |||||||
\(114\) | −2.00031 | − | 3.14069i | −0.187346 | − | 0.294152i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −1.81040 | − | 10.2673i | −0.168091 | − | 0.953294i | ||||
\(117\) | 8.35692 | − | 7.01229i | 0.772598 | − | 0.648286i | ||||
\(118\) | 3.86435 | − | 1.40651i | 0.355742 | − | 0.129480i | ||||
\(119\) | −3.54724 | − | 1.29109i | −0.325175 | − | 0.118354i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.488214 | − | 0.845612i | 0.0443831 | − | 0.0768738i | ||||
\(122\) | −2.11917 | − | 3.67051i | −0.191861 | − | 0.332312i | ||||
\(123\) | 0.555373 | − | 3.14968i | 0.0500763 | − | 0.283997i | ||||
\(124\) | 1.32053 | − | 7.48911i | 0.118587 | − | 0.672542i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −3.15760 | + | 5.46912i | −0.281301 | + | 0.487228i | ||||
\(127\) | −9.62855 | − | 8.07931i | −0.854396 | − | 0.716923i | 0.106357 | − | 0.994328i | \(-0.466081\pi\) |
−0.960753 | + | 0.277405i | \(0.910526\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −1.23394 | + | 0.449116i | −0.108642 | + | 0.0395425i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.41452 | − | 13.6934i | −0.210958 | − | 1.19640i | −0.887785 | − | 0.460259i | \(-0.847756\pi\) |
0.676827 | − | 0.736143i | \(-0.263355\pi\) | |||||||
\(132\) | 2.70456 | 0.235402 | ||||||||
\(133\) | −8.94062 | + | 8.19059i | −0.775250 | + | 0.710214i | ||||
\(134\) | −5.71745 | −0.493913 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.03955 | + | 0.872289i | −0.0891410 | + | 0.0747982i | ||||
\(137\) | −5.81017 | + | 2.11473i | −0.496397 | + | 0.180674i | −0.578073 | − | 0.815985i | \(-0.696195\pi\) |
0.0816760 | + | 0.996659i | \(0.473973\pi\) | |||||||
\(138\) | 4.84038 | + | 1.76175i | 0.412041 | + | 0.149971i | ||||
\(139\) | 6.72241 | + | 5.64077i | 0.570188 | + | 0.478444i | 0.881708 | − | 0.471795i | \(-0.156394\pi\) |
−0.311521 | + | 0.950239i | \(0.600838\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.26945 | + | 2.19875i | 0.106907 | + | 0.185168i | ||||
\(142\) | −0.156080 | + | 0.885174i | −0.0130979 | + | 0.0742822i | ||||
\(143\) | −2.64180 | + | 14.9824i | −0.220918 | + | 1.25289i | ||||
\(144\) | 1.13513 | + | 1.96610i | 0.0945940 | + | 0.163842i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −8.01712 | − | 6.72716i | −0.663502 | − | 0.556744i | ||||
\(147\) | −0.592349 | − | 0.215597i | −0.0488561 | − | 0.0177822i | ||||
\(148\) | 10.3078 | − | 3.75173i | 0.847295 | − | 0.308390i | ||||
\(149\) | 12.6163 | − | 10.5864i | 1.03357 | − | 0.867268i | 0.0422987 | − | 0.999105i | \(-0.486532\pi\) |
0.991271 | + | 0.131837i | \(0.0420875\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.7347 | 1.19909 | 0.599547 | − | 0.800340i | \(-0.295347\pi\) | ||||
0.599547 | + | 0.800340i | \(0.295347\pi\) | |||||||
\(152\) | 0.942928 | + | 4.25569i | 0.0764815 | + | 0.345182i | ||||
\(153\) | −3.08083 | −0.249070 | ||||||||
\(154\) | −1.52930 | − | 8.67311i | −0.123235 | − | 0.698899i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 3.85735 | − | 1.40396i | 0.308835 | − | 0.112407i | ||||
\(157\) | 8.62832 | + | 3.14045i | 0.688615 | + | 0.250635i | 0.662542 | − | 0.749025i | \(-0.269478\pi\) |
0.0260727 | + | 0.999660i | \(0.491700\pi\) | |||||||
\(158\) | 1.71509 | + | 1.43913i | 0.136446 | + | 0.114491i | ||||
\(159\) | 1.84047 | − | 3.18779i | 0.145959 | − | 0.252808i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.91267 | − | 16.5185i | 0.229550 | − | 1.30184i | ||||
\(162\) | −0.514837 | + | 2.91978i | −0.0404494 | + | 0.229400i | ||||
\(163\) | 8.18335 | + | 14.1740i | 0.640970 | + | 1.11019i | 0.985217 | + | 0.171313i | \(0.0548010\pi\) |
−0.344247 | + | 0.938879i | \(0.611866\pi\) | |||||||
\(164\) | −1.87197 | + | 3.24235i | −0.146176 | + | 0.253185i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.83349 | + | 2.85116i | 0.607997 | + | 0.221293i | ||||
\(167\) | −12.3025 | + | 4.47774i | −0.951994 | + | 0.346498i | −0.770891 | − | 0.636967i | \(-0.780189\pi\) |
−0.181103 | + | 0.983464i | \(0.557967\pi\) | |||||||
\(168\) | −1.82034 | + | 1.52744i | −0.140442 | + | 0.117845i | ||||
\(169\) | 1.75222 | + | 9.93731i | 0.134786 | + | 0.764408i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.57043 | + | 8.77715i | −0.349510 | + | 0.671205i | ||||
\(172\) | 1.53717 | 0.117208 | ||||||||
\(173\) | 2.98366 | + | 16.9212i | 0.226843 | + | 1.28649i | 0.859130 | + | 0.511758i | \(0.171006\pi\) |
−0.632286 | + | 0.774735i | \(0.717883\pi\) | |||||||
\(174\) | 6.82250 | − | 5.72476i | 0.517213 | − | 0.433993i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2.97507 | − | 1.08284i | −0.224254 | − | 0.0816219i | ||||
\(177\) | 2.69110 | + | 2.25810i | 0.202275 | + | 0.169729i | ||||
\(178\) | −4.74306 | + | 8.21522i | −0.355507 | + | 0.615757i | ||||
\(179\) | 0.234505 | + | 0.406174i | 0.0175277 | + | 0.0303589i | 0.874656 | − | 0.484744i | \(-0.161087\pi\) |
−0.857129 | + | 0.515103i | \(0.827754\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.91687 | − | 16.5424i | 0.216809 | − | 1.22958i | −0.660931 | − | 0.750447i | \(-0.729838\pi\) |
0.877740 | − | 0.479138i | \(-0.159051\pi\) | |||||||
\(182\) | −6.68343 | − | 11.5760i | −0.495409 | − | 0.858074i | ||||
\(183\) | 1.81030 | − | 3.13554i | 0.133821 | − | 0.231785i | ||||
\(184\) | −4.61915 | − | 3.87593i | −0.340528 | − | 0.285737i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 6.10450 | − | 2.22186i | 0.447604 | − | 0.162914i | ||||
\(187\) | 3.29123 | − | 2.76167i | 0.240679 | − | 0.201953i | ||||
\(188\) | −0.516096 | − | 2.92693i | −0.0376402 | − | 0.213468i | ||||
\(189\) | −12.5236 | −0.910958 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −18.1568 | −1.31378 | −0.656891 | − | 0.753985i | \(-0.728129\pi\) | ||||
−0.656891 | + | 0.753985i | \(0.728129\pi\) | |||||||
\(192\) | 0.148339 | + | 0.841273i | 0.0107055 | + | 0.0607136i | ||||
\(193\) | 3.41781 | − | 2.86788i | 0.246019 | − | 0.206435i | −0.511437 | − | 0.859321i | \(-0.670887\pi\) |
0.757456 | + | 0.652886i | \(0.226442\pi\) | |||||||
\(194\) | −2.47121 | + | 0.899446i | −0.177422 | + | 0.0645765i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.565276 | + | 0.474323i | 0.0403768 | + | 0.0338802i | ||||
\(197\) | 10.2342 | − | 17.7262i | 0.729160 | − | 1.26294i | −0.228079 | − | 0.973643i | \(-0.573244\pi\) |
0.957239 | − | 0.289299i | \(-0.0934223\pi\) | |||||||
\(198\) | −3.59382 | − | 6.22467i | −0.255401 | − | 0.442368i | ||||
\(199\) | 1.40764 | − | 7.98310i | 0.0997847 | − | 0.565907i | −0.893391 | − | 0.449280i | \(-0.851681\pi\) |
0.993176 | − | 0.116627i | \(-0.0372083\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.44207 | − | 4.22979i | −0.172250 | − | 0.298346i | ||||
\(202\) | 8.62437 | − | 14.9378i | 0.606808 | − | 1.05102i | ||||
\(203\) | −22.2162 | − | 18.6416i | −1.55927 | − | 1.30839i | ||||
\(204\) | −1.08934 | − | 0.396488i | −0.0762692 | − | 0.0277597i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −9.31599 | + | 7.81704i | −0.649076 | + | 0.544639i | ||||
\(207\) | −2.37713 | − | 13.4814i | −0.165222 | − | 0.937021i | ||||
\(208\) | −4.80527 | −0.333185 | ||||||||
\(209\) | −2.98531 | − | 13.4735i | −0.206498 | − | 0.931983i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.24189 | + | 24.0570i | 0.292024 | + | 1.65615i | 0.679059 | + | 0.734084i | \(0.262388\pi\) |
−0.387035 | + | 0.922065i | \(0.626501\pi\) | |||||||
\(212\) | −3.30087 | + | 2.76976i | −0.226704 | + | 0.190228i | ||||
\(213\) | −0.721520 | + | 0.262612i | −0.0494377 | + | 0.0179939i | ||||
\(214\) | 13.1098 | + | 4.77156i | 0.896165 | + | 0.326177i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.25106 | + | 3.89895i | −0.153165 | + | 0.265290i | ||||
\(217\) | −10.5770 | − | 18.3198i | −0.718011 | − | 1.24363i | ||||
\(218\) | −2.94958 | + | 16.7279i | −0.199771 | + | 1.13296i | ||||
\(219\) | 1.55246 | − | 8.80443i | 0.104905 | − | 0.594949i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.26047 | − | 5.64730i | 0.219323 | − | 0.379879i | ||||
\(222\) | 7.17826 | + | 6.02328i | 0.481773 | + | 0.404256i | ||||
\(223\) | 23.3511 | + | 8.49912i | 1.56371 | + | 0.569143i | 0.971582 | − | 0.236703i | \(-0.0760667\pi\) |
0.592126 | + | 0.805846i | \(0.298289\pi\) | |||||||
\(224\) | 2.61395 | − | 0.951401i | 0.174652 | − | 0.0635682i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0380045 | + | 0.215534i | 0.00252802 | + | 0.0143371i | ||||
\(227\) | −8.33013 | −0.552890 | −0.276445 | − | 0.961030i | \(-0.589156\pi\) | ||||
−0.276445 | + | 0.961030i | \(0.589156\pi\) | |||||||
\(228\) | −2.74562 | + | 2.51529i | −0.181833 | + | 0.166579i | ||||
\(229\) | 0.699318 | 0.0462123 | 0.0231061 | − | 0.999733i | \(-0.492644\pi\) | ||||
0.0231061 | + | 0.999733i | \(0.492644\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.76319 | − | 4.83589i | 0.379190 | − | 0.318178i | ||||
\(232\) | −9.79693 | + | 3.56579i | −0.643200 | + | 0.234106i | ||||
\(233\) | −2.41623 | − | 0.879436i | −0.158293 | − | 0.0576138i | 0.261659 | − | 0.965160i | \(-0.415731\pi\) |
−0.419951 | + | 0.907547i | \(0.637953\pi\) | |||||||
\(234\) | −8.35692 | − | 7.01229i | −0.546309 | − | 0.458408i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.05618 | − | 3.56140i | −0.133846 | − | 0.231828i | ||||
\(237\) | −0.332116 | + | 1.88352i | −0.0215732 | + | 0.122348i | ||||
\(238\) | −0.655504 | + | 3.71755i | −0.0424900 | + | 0.240973i | ||||
\(239\) | −8.86697 | − | 15.3580i | −0.573557 | − | 0.993430i | −0.996197 | − | 0.0871319i | \(-0.972230\pi\) |
0.422640 | − | 0.906298i | \(-0.361104\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.92980 | − | 5.81479i | −0.446387 | − | 0.374564i | 0.391706 | − | 0.920091i | \(-0.371885\pi\) |
−0.838093 | + | 0.545527i | \(0.816330\pi\) | |||||||
\(242\) | −0.917543 | − | 0.333958i | −0.0589819 | − | 0.0214676i | ||||
\(243\) | −15.0718 | + | 5.48568i | −0.966856 | + | 0.351907i | ||||
\(244\) | −3.24676 | + | 2.72435i | −0.207852 | + | 0.174409i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.19827 | −0.203914 | ||||||||
\(247\) | −11.2520 | − | 17.6668i | −0.715947 | − | 1.12411i | ||||
\(248\) | −7.60465 | −0.482896 | ||||||||
\(249\) | 1.23659 | + | 7.01304i | 0.0783656 | + | 0.444434i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.34305 | − | 2.30868i | 0.400370 | − | 0.145723i | −0.133984 | − | 0.990983i | \(-0.542777\pi\) |
0.534354 | + | 0.845261i | \(0.320555\pi\) | |||||||
\(252\) | 5.93434 | + | 2.15992i | 0.373828 | + | 0.136062i | ||||
\(253\) | 14.6242 | + | 12.2712i | 0.919419 | + | 0.771484i | ||||
\(254\) | −6.28459 | + | 10.8852i | −0.394330 | + | 0.683000i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −0.561448 | + | 3.18413i | −0.0350222 | + | 0.198621i | −0.997299 | − | 0.0734526i | \(-0.976598\pi\) |
0.962277 | + | 0.272073i | \(0.0877093\pi\) | |||||||
\(258\) | 0.656564 | + | 1.13720i | 0.0408759 | + | 0.0707991i | ||||
\(259\) | 15.2567 | − | 26.4255i | 0.948008 | − | 1.64200i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −22.2415 | − | 8.09526i | −1.37672 | − | 0.501084i | ||||
\(262\) | −13.0661 | + | 4.75568i | −0.807228 | + | 0.293807i | ||||
\(263\) | 0.784511 | − | 0.658282i | 0.0483750 | − | 0.0405914i | −0.618280 | − | 0.785958i | \(-0.712170\pi\) |
0.666655 | + | 0.745367i | \(0.267726\pi\) | |||||||
\(264\) | −0.469642 | − | 2.66347i | −0.0289045 | − | 0.163925i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 9.61868 | + | 7.38251i | 0.589759 | + | 0.452650i | ||||
\(267\) | −8.10353 | −0.495928 | ||||||||
\(268\) | 0.992825 | + | 5.63059i | 0.0606465 | + | 0.343943i | ||||
\(269\) | −7.15929 | + | 6.00736i | −0.436509 | + | 0.366275i | −0.834401 | − | 0.551157i | \(-0.814186\pi\) |
0.397892 | + | 0.917432i | \(0.369742\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.09509 | − | 3.31034i | −0.552487 | − | 0.201089i | 0.0506640 | − | 0.998716i | \(-0.483866\pi\) |
−0.603151 | + | 0.797627i | \(0.706088\pi\) | |||||||
\(272\) | 1.03955 | + | 0.872289i | 0.0630322 | + | 0.0528903i | ||||
\(273\) | 5.70933 | − | 9.88885i | 0.345544 | − | 0.598500i | ||||
\(274\) | 3.09153 | + | 5.35468i | 0.186766 | + | 0.323488i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.894466 | − | 5.07277i | 0.0538405 | − | 0.305345i | ||||
\(277\) | 1.30482 | + | 2.26001i | 0.0783990 | + | 0.135791i | 0.902559 | − | 0.430566i | \(-0.141686\pi\) |
−0.824160 | + | 0.566357i | \(0.808353\pi\) | |||||||
\(278\) | 4.38774 | − | 7.59980i | 0.263159 | − | 0.455805i | ||||
\(279\) | −13.2254 | − | 11.0974i | −0.791782 | − | 0.664384i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −28.4175 | + | 10.3431i | −1.69524 | + | 0.617018i | −0.995270 | − | 0.0971504i | \(-0.969027\pi\) |
−0.699974 | + | 0.714169i | \(0.746805\pi\) | |||||||
\(282\) | 1.94491 | − | 1.63197i | 0.115818 | − | 0.0971827i | ||||
\(283\) | 3.30904 | + | 18.7665i | 0.196702 | + | 1.11555i | 0.909974 | + | 0.414665i | \(0.136101\pi\) |
−0.713272 | + | 0.700887i | \(0.752788\pi\) | |||||||
\(284\) | 0.898829 | 0.0533357 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.2135 | 0.899593 | ||||||||
\(287\) | 1.80847 | + | 10.2563i | 0.106751 | + | 0.605413i | ||||
\(288\) | 1.73912 | − | 1.45929i | 0.102478 | − | 0.0859896i | ||||
\(289\) | 14.2443 | − | 5.18449i | 0.837898 | − | 0.304970i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.72093 | − | 1.44403i | −0.100883 | − | 0.0846506i | ||||
\(292\) | −5.23281 | + | 9.06348i | −0.306227 | + | 0.530400i | ||||
\(293\) | −0.314058 | − | 0.543964i | −0.0183474 | − | 0.0317787i | 0.856706 | − | 0.515805i | \(-0.172507\pi\) |
−0.875053 | + | 0.484026i | \(0.839174\pi\) | |||||||
\(294\) | −0.109462 | + | 0.620788i | −0.00638393 | + | 0.0362051i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −5.48466 | − | 9.49971i | −0.318789 | − | 0.552160i | ||||
\(297\) | 7.12686 | − | 12.3441i | 0.413542 | − | 0.716277i | ||||
\(298\) | −12.6163 | − | 10.5864i | −0.730844 | − | 0.613251i | ||||
\(299\) | 27.2278 | + | 9.91009i | 1.57462 | + | 0.573115i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.27558 | − | 2.74853i | 0.188801 | − | 0.158423i | ||||
\(302\) | −2.55866 | − | 14.5109i | −0.147234 | − | 0.835006i | ||||
\(303\) | 14.7347 | 0.846489 | ||||||||
\(304\) | 4.02730 | − | 1.66760i | 0.230981 | − | 0.0956431i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.534980 | + | 3.03402i | 0.0305828 | + | 0.173444i | ||||
\(307\) | −16.3205 | + | 13.6945i | −0.931460 | + | 0.781588i | −0.976079 | − | 0.217417i | \(-0.930237\pi\) |
0.0446192 | + | 0.999004i | \(0.485793\pi\) | |||||||
\(308\) | −8.27578 | + | 3.01214i | −0.471556 | + | 0.171633i | ||||
\(309\) | −9.76217 | − | 3.55314i | −0.555350 | − | 0.202131i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.4799 | + | 28.5440i | −0.934490 | + | 1.61858i | −0.158950 | + | 0.987287i | \(0.550811\pi\) |
−0.775541 | + | 0.631298i | \(0.782523\pi\) | |||||||
\(312\) | −2.05245 | − | 3.55495i | −0.116197 | − | 0.201259i | ||||
\(313\) | 4.95291 | − | 28.0894i | 0.279955 | − | 1.58770i | −0.442813 | − | 0.896614i | \(-0.646020\pi\) |
0.722768 | − | 0.691090i | \(-0.242869\pi\) | |||||||
\(314\) | 1.59445 | − | 9.04257i | 0.0899799 | − | 0.510302i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.11945 | − | 1.93894i | 0.0629739 | − | 0.109074i | ||||
\(317\) | 23.4843 | + | 19.7057i | 1.31901 | + | 1.10678i | 0.986514 | + | 0.163674i | \(0.0523346\pi\) |
0.332494 | + | 0.943105i | \(0.392110\pi\) | |||||||
\(318\) | −3.45896 | − | 1.25896i | −0.193969 | − | 0.0705988i | ||||
\(319\) | 31.0171 | − | 11.2893i | 1.73663 | − | 0.632080i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.06950 | + | 11.7367i | 0.115508 | + | 0.655078i | ||||
\(322\) | −16.7734 | −0.934743 | ||||||||
\(323\) | −0.772793 | + | 5.86451i | −0.0429993 | + | 0.326310i | ||||
\(324\) | 2.96483 | 0.164713 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 12.5376 | − | 10.5203i | 0.694395 | − | 0.582666i | ||||
\(327\) | −13.6352 | + | 4.96281i | −0.754029 | + | 0.274444i | ||||
\(328\) | 3.51815 | + | 1.28050i | 0.194258 | + | 0.0707040i | ||||
\(329\) | −6.33325 | − | 5.31422i | −0.349163 | − | 0.292983i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.90181 | − | 6.75813i | −0.214463 | − | 0.371460i | 0.738644 | − | 0.674096i | \(-0.235467\pi\) |
−0.953106 | + | 0.302636i | \(0.902133\pi\) | |||||||
\(332\) | 1.44757 | − | 8.20958i | 0.0794458 | − | 0.450559i | ||||
\(333\) | 4.32439 | − | 24.5248i | 0.236975 | − | 1.34395i | ||||
\(334\) | 6.54601 | + | 11.3380i | 0.358182 | + | 0.620389i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.82034 | + | 1.52744i | 0.0993074 | + | 0.0833288i | ||||
\(337\) | 3.37565 | + | 1.22864i | 0.183883 | + | 0.0669280i | 0.432321 | − | 0.901720i | \(-0.357695\pi\) |
−0.248437 | + | 0.968648i | \(0.579917\pi\) | |||||||
\(338\) | 9.48207 | − | 3.45119i | 0.515756 | − | 0.187720i | ||||
\(339\) | −0.143220 | + | 0.120176i | −0.00777865 | + | 0.00652706i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 24.0763 | 1.30381 | ||||||||
\(342\) | 9.43745 | + | 2.97686i | 0.510319 | + | 0.160970i | ||||
\(343\) | −17.4193 | −0.940554 | ||||||||
\(344\) | −0.266927 | − | 1.51382i | −0.0143917 | − | 0.0816195i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 16.1460 | − | 5.87666i | 0.868014 | − | 0.315931i | ||||
\(347\) | 14.4497 | + | 5.25926i | 0.775701 | + | 0.282332i | 0.699379 | − | 0.714751i | \(-0.253460\pi\) |
0.0763220 | + | 0.997083i | \(0.475682\pi\) | |||||||
\(348\) | −6.82250 | − | 5.72476i | −0.365725 | − | 0.306879i | ||||
\(349\) | −16.4988 | + | 28.5767i | −0.883159 | + | 1.52968i | −0.0353493 | + | 0.999375i | \(0.511254\pi\) |
−0.847809 | + | 0.530301i | \(0.822079\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.75669 | − | 21.3052i | 0.200517 | − | 1.13719i | ||||
\(352\) | −0.549771 | + | 3.11790i | −0.0293029 | + | 0.166185i | ||||
\(353\) | 2.92362 | + | 5.06386i | 0.155608 | + | 0.269522i | 0.933280 | − | 0.359149i | \(-0.116933\pi\) |
−0.777672 | + | 0.628670i | \(0.783600\pi\) | |||||||
\(354\) | 1.75649 | − | 3.04233i | 0.0933564 | − | 0.161698i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 8.91404 | + | 3.24444i | 0.472443 | + | 0.171955i | ||||
\(357\) | −3.03023 | + | 1.10291i | −0.160377 | + | 0.0583724i | ||||
\(358\) | 0.359282 | − | 0.301474i | 0.0189887 | − | 0.0159334i | ||||
\(359\) | 2.72021 | + | 15.4271i | 0.143567 | + | 0.814209i | 0.968507 | + | 0.248988i | \(0.0800980\pi\) |
−0.824940 | + | 0.565221i | \(0.808791\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.5613 | + | 10.9017i | 0.819014 | + | 0.573773i | ||||
\(362\) | −16.7976 | −0.882860 | ||||||||
\(363\) | −0.144843 | − | 0.821443i | −0.00760226 | − | 0.0431146i | ||||
\(364\) | −10.2396 | + | 8.59206i | −0.536702 | + | 0.450346i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.40226 | − | 1.23832i | −0.177839 | − | 0.0647280i | ||||
\(367\) | 10.7857 | + | 9.05031i | 0.563011 | + | 0.472423i | 0.879318 | − | 0.476234i | \(-0.157999\pi\) |
−0.316307 | + | 0.948657i | \(0.602443\pi\) | |||||||
\(368\) | −3.01494 | + | 5.22203i | −0.157164 | + | 0.272217i | ||||
\(369\) | 4.24985 | + | 7.36096i | 0.221238 | + | 0.383196i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.08140 | + | 11.8042i | −0.108061 | + | 0.612845i | ||||
\(372\) | −3.24814 | − | 5.62594i | −0.168408 | − | 0.291691i | ||||
\(373\) | 1.70094 | − | 2.94612i | 0.0880714 | − | 0.152544i | −0.818624 | − | 0.574329i | \(-0.805263\pi\) |
0.906696 | + | 0.421785i | \(0.138596\pi\) | |||||||
\(374\) | −3.29123 | − | 2.76167i | −0.170185 | − | 0.142803i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.79284 | + | 1.01651i | −0.144030 | + | 0.0524226i | ||||
\(377\) | 38.3774 | − | 32.2025i | 1.97654 | − | 1.65851i | ||||
\(378\) | 2.17470 | + | 12.3333i | 0.111854 | + | 0.634358i | ||||
\(379\) | 3.36412 | 0.172803 | 0.0864016 | − | 0.996260i | \(-0.472463\pi\) | ||||
0.0864016 | + | 0.996260i | \(0.472463\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −10.7372 | −0.550085 | ||||||||
\(382\) | 3.15290 | + | 17.8810i | 0.161316 | + | 0.914871i | ||||
\(383\) | 1.33818 | − | 1.12286i | 0.0683776 | − | 0.0573756i | −0.607958 | − | 0.793969i | \(-0.708011\pi\) |
0.676336 | + | 0.736593i | \(0.263567\pi\) | |||||||
\(384\) | 0.802733 | − | 0.292171i | 0.0409643 | − | 0.0149098i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.41781 | − | 2.86788i | −0.173962 | − | 0.145971i | ||||
\(387\) | 1.74488 | − | 3.02223i | 0.0886974 | − | 0.153628i | ||||
\(388\) | 1.31490 | + | 2.27748i | 0.0667540 | + | 0.115621i | ||||
\(389\) | −0.512989 | + | 2.90930i | −0.0260096 | + | 0.147508i | −0.995047 | − | 0.0994067i | \(-0.968306\pi\) |
0.969037 | + | 0.246914i | \(0.0794166\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.09139 | − | 7.08650i | −0.206911 | − | 0.358380i | ||||
\(392\) | 0.368957 | − | 0.639053i | 0.0186352 | − | 0.0322771i | ||||
\(393\) | −9.09915 | − | 7.63509i | −0.458991 | − | 0.385139i | ||||
\(394\) | −19.2341 | − | 7.00064i | −0.969000 | − | 0.352687i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −5.50605 | + | 4.62012i | −0.276689 | + | 0.232170i | ||||
\(397\) | −0.330922 | − | 1.87675i | −0.0166085 | − | 0.0941914i | 0.975377 | − | 0.220545i | \(-0.0707837\pi\) |
−0.991985 | + | 0.126354i | \(0.959673\pi\) | |||||||
\(398\) | −8.10626 | −0.406330 | ||||||||
\(399\) | −1.35322 | + | 10.2692i | −0.0677456 | + | 0.514102i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.443767 | + | 2.51673i | 0.0221607 | + | 0.125679i | 0.993881 | − | 0.110455i | \(-0.0352307\pi\) |
−0.971721 | + | 0.236134i | \(0.924120\pi\) | |||||||
\(402\) | −3.74147 | + | 3.13946i | −0.186607 | + | 0.156582i | ||||
\(403\) | 34.3386 | − | 12.4982i | 1.71053 | − | 0.622581i | ||||
\(404\) | −16.2085 | − | 5.89942i | −0.806404 | − | 0.293507i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −14.5006 | + | 25.1158i | −0.719653 | + | 1.24648i | ||||
\(407\) | 17.3645 | + | 30.0761i | 0.860724 | + | 1.49082i | ||||
\(408\) | −0.201302 | + | 1.14164i | −0.00996594 | + | 0.0565197i | ||||
\(409\) | −0.172527 | + | 0.978451i | −0.00853092 | + | 0.0483813i | −0.988776 | − | 0.149405i | \(-0.952264\pi\) |
0.980245 | + | 0.197786i | \(0.0633752\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.64094 | + | 4.57424i | −0.130268 | + | 0.225631i | ||||
\(412\) | 9.31599 | + | 7.81704i | 0.458966 | + | 0.385118i | ||||
\(413\) | −10.7495 | − | 3.91250i | −0.528948 | − | 0.192521i | ||||
\(414\) | −12.8638 | + | 4.68204i | −0.632221 | + | 0.230110i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.834426 | + | 4.73227i | 0.0409111 | + | 0.232018i | ||||
\(417\) | 7.49647 | 0.367104 | ||||||||
\(418\) | −12.7504 | + | 5.27961i | −0.623644 | + | 0.258234i | ||||
\(419\) | −14.8657 | −0.726238 | −0.363119 | − | 0.931743i | \(-0.618288\pi\) | ||||
−0.363119 | + | 0.931743i | \(0.618288\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 29.8436 | − | 25.0418i | 1.45449 | − | 1.22046i | 0.525269 | − | 0.850936i | \(-0.323965\pi\) |
0.929221 | − | 0.369526i | \(-0.120480\pi\) | |||||||
\(422\) | 22.9549 | − | 8.35489i | 1.11743 | − | 0.406710i | ||||
\(423\) | −6.34046 | − | 2.30774i | −0.308284 | − | 0.112206i | ||||
\(424\) | 3.30087 | + | 2.76976i | 0.160304 | + | 0.134511i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.383913 | + | 0.664957i | 0.0186006 | + | 0.0322173i | ||||
\(427\) | −2.04728 | + | 11.6107i | −0.0990750 | + | 0.561882i | ||||
\(428\) | 2.42259 | − | 13.7392i | 0.117100 | − | 0.664108i | ||||
\(429\) | 6.49807 | + | 11.2550i | 0.313730 | + | 0.543396i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −20.8535 | − | 17.4982i | −1.00448 | − | 0.842857i | −0.0168797 | − | 0.999858i | \(-0.505373\pi\) |
−0.987599 | + | 0.157000i | \(0.949818\pi\) | |||||||
\(432\) | 4.23061 | + | 1.53982i | 0.203545 | + | 0.0740844i | ||||
\(433\) | 31.3746 | − | 11.4194i | 1.50777 | − | 0.548782i | 0.549709 | − | 0.835356i | \(-0.314739\pi\) |
0.958058 | + | 0.286574i | \(0.0925165\pi\) | |||||||
\(434\) | −16.2048 | + | 13.5975i | −0.777858 | + | 0.652700i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 16.9860 | 0.813481 | ||||||||
\(437\) | −26.2587 | + | 1.14332i | −1.25613 | + | 0.0546926i | ||||
\(438\) | −8.94026 | −0.427182 | ||||||||
\(439\) | 3.21620 | + | 18.2400i | 0.153501 | + | 0.870546i | 0.960144 | + | 0.279507i | \(0.0901710\pi\) |
−0.806643 | + | 0.591039i | \(0.798718\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.57423 | − | 0.572971i | 0.0749631 | − | 0.0272843i | ||||
\(442\) | −6.12768 | − | 2.23029i | −0.291464 | − | 0.106084i | ||||
\(443\) | 10.4056 | + | 8.73132i | 0.494384 | + | 0.414838i | 0.855594 | − | 0.517647i | \(-0.173192\pi\) |
−0.361210 | + | 0.932484i | \(0.617636\pi\) | |||||||
\(444\) | 4.68528 | − | 8.11514i | 0.222353 | − | 0.385127i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.31512 | − | 24.4722i | 0.204327 | − | 1.15879i | ||||
\(447\) | 2.44306 | − | 13.8553i | 0.115553 | − | 0.655333i | ||||
\(448\) | −1.39086 | − | 2.40903i | −0.0657117 | − | 0.113816i | ||||
\(449\) | −1.40297 | + | 2.43001i | −0.0662101 | + | 0.114679i | −0.897230 | − | 0.441563i | \(-0.854424\pi\) |
0.831020 | + | 0.556242i | \(0.187757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.1385 | − | 4.05408i | −0.524491 | − | 0.190899i | ||||
\(452\) | 0.205660 | − | 0.0748542i | 0.00967345 | − | 0.00352085i | ||||
\(453\) | 9.64231 | − | 8.09086i | 0.453035 | − | 0.380142i | ||||
\(454\) | 1.44651 | + | 8.20357i | 0.0678881 | + | 0.385013i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.95385 | + | 2.26713i | 0.138327 | + | 0.106168i | ||||
\(457\) | 18.8826 | 0.883289 | 0.441644 | − | 0.897190i | \(-0.354395\pi\) | ||||
0.441644 | + | 0.897190i | \(0.354395\pi\) | |||||||
\(458\) | −0.121435 | − | 0.688694i | −0.00567430 | − | 0.0321806i | ||||
\(459\) | −4.68020 | + | 3.92715i | −0.218453 | + | 0.183304i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.14272 | − | 1.87180i | −0.239521 | − | 0.0871784i | 0.219471 | − | 0.975619i | \(-0.429567\pi\) |
−0.458991 | + | 0.888441i | \(0.651789\pi\) | |||||||
\(462\) | −5.76319 | − | 4.83589i | −0.268128 | − | 0.224986i | ||||
\(463\) | 3.52956 | − | 6.11338i | 0.164033 | − | 0.284113i | −0.772279 | − | 0.635284i | \(-0.780883\pi\) |
0.936311 | + | 0.351171i | \(0.114216\pi\) | |||||||
\(464\) | 5.21284 | + | 9.02890i | 0.242000 | + | 0.419156i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.446501 | + | 2.53223i | −0.0206838 | + | 0.117304i | ||||
\(467\) | 4.75442 | + | 8.23490i | 0.220008 | + | 0.381066i | 0.954810 | − | 0.297216i | \(-0.0960582\pi\) |
−0.734802 | + | 0.678282i | \(0.762725\pi\) | |||||||
\(468\) | −5.45459 | + | 9.44763i | −0.252139 | + | 0.436717i | ||||
\(469\) | 12.1834 | + | 10.2231i | 0.562577 | + | 0.472058i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.37075 | − | 2.68273i | 0.339626 | − | 0.123614i | ||||
\(472\) | −3.15025 | + | 2.64337i | −0.145002 | + | 0.121671i | ||||
\(473\) | 0.845090 | + | 4.79274i | 0.0388573 | + | 0.220371i | ||||
\(474\) | 1.91258 | 0.0878477 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.77490 | 0.173022 | ||||||||
\(477\) | 1.69871 | + | 9.63386i | 0.0777786 | + | 0.441104i | ||||
\(478\) | −13.5850 | + | 11.3992i | −0.621363 | + | 0.521386i | ||||
\(479\) | −28.7966 | + | 10.4811i | −1.31575 | + | 0.478894i | −0.902094 | − | 0.431539i | \(-0.857971\pi\) |
−0.413657 | + | 0.910433i | \(0.635749\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 40.3786 | + | 33.8817i | 1.84111 | + | 1.54487i | ||||
\(482\) | −4.52310 | + | 7.83425i | −0.206022 | + | 0.356840i | ||||
\(483\) | −7.16433 | − | 12.4090i | −0.325988 | − | 0.564628i | ||||
\(484\) | −0.169555 | + | 0.961594i | −0.00770705 | + | 0.0437088i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.01953 | + | 13.8902i | 0.363773 | + | 0.630074i | ||||
\(487\) | −14.4610 | + | 25.0472i | −0.655292 | + | 1.13500i | 0.326529 | + | 0.945187i | \(0.394121\pi\) |
−0.981821 | + | 0.189811i | \(0.939212\pi\) | |||||||
\(488\) | 3.24676 | + | 2.72435i | 0.146974 | + | 0.123326i | ||||
\(489\) | 13.1381 | + | 4.78188i | 0.594125 | + | 0.216244i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −30.3092 | + | 25.4325i | −1.36784 | + | 1.14775i | −0.394361 | + | 0.918955i | \(0.629034\pi\) |
−0.973475 | + | 0.228795i | \(0.926521\pi\) | |||||||
\(492\) | 0.555373 | + | 3.14968i | 0.0250381 | + | 0.141998i | ||||
\(493\) | −14.1481 | −0.637197 | ||||||||
\(494\) | −15.4445 | + | 14.1488i | −0.694880 | + | 0.636587i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.32053 | + | 7.48911i | 0.0592937 | + | 0.336271i | ||||
\(497\) | 1.91533 | − | 1.60715i | 0.0859142 | − | 0.0720906i | ||||
\(498\) | 6.69177 | − | 2.43560i | 0.299865 | − | 0.109142i | ||||
\(499\) | −2.87074 | − | 1.04486i | −0.128512 | − | 0.0467745i | 0.276964 | − | 0.960880i | \(-0.410672\pi\) |
−0.405476 | + | 0.914106i | \(0.632894\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.59194 | + | 9.68552i | −0.249829 | + | 0.432717i | ||||
\(502\) | −3.37507 | − | 5.84579i | −0.150637 | − | 0.260910i | ||||
\(503\) | −5.70366 | + | 32.3470i | −0.254313 | + | 1.44228i | 0.543515 | + | 0.839399i | \(0.317093\pi\) |
−0.797829 | + | 0.602884i | \(0.794018\pi\) | |||||||
\(504\) | 1.09662 | − | 6.21925i | 0.0488474 | − | 0.277028i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.54530 | − | 16.5329i | 0.424340 | − | 0.734979i | ||||
\(507\) | 6.60323 | + | 5.54077i | 0.293260 | + | 0.246074i | ||||
\(508\) | 11.8112 | + | 4.29891i | 0.524036 | + | 0.190733i | ||||
\(509\) | 19.0237 | − | 6.92408i | 0.843213 | − | 0.306904i | 0.115943 | − | 0.993256i | \(-0.463011\pi\) |
0.727270 | + | 0.686352i | \(0.240789\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.05530 | + | 28.6700i | 0.223633 | + | 1.26829i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 4.24517 | + | 19.1596i | 0.187429 | + | 0.845918i | ||||
\(514\) | 3.23325 | 0.142613 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.00591 | − | 0.844062i | 0.0442829 | − | 0.0371578i | ||||
\(517\) | 8.84214 | − | 3.21828i | 0.388877 | − | 0.141540i | ||||
\(518\) | −28.6733 | − | 10.4362i | −1.25983 | − | 0.458541i | ||||
\(519\) | 11.2439 | + | 9.43478i | 0.493554 | + | 0.414141i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.47243 | + | 12.9426i | 0.327373 | + | 0.567027i | 0.981990 | − | 0.188934i | \(-0.0605032\pi\) |
−0.654617 | + | 0.755961i | \(0.727170\pi\) | |||||||
\(522\) | −4.11007 | + | 23.3094i | −0.179893 | + | 1.02022i | ||||
\(523\) | 4.90745 | − | 27.8315i | 0.214588 | − | 1.21699i | −0.667032 | − | 0.745029i | \(-0.732436\pi\) |
0.881620 | − | 0.471960i | \(-0.156453\pi\) | |||||||
\(524\) | 6.95234 | + | 12.0418i | 0.303715 | + | 0.526049i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.784511 | − | 0.658282i | −0.0342063 | − | 0.0287025i | ||||
\(527\) | −9.69745 | − | 3.52958i | −0.422428 | − | 0.153751i | ||||
\(528\) | −2.54146 | + | 0.925014i | −0.110603 | + | 0.0402561i | ||||
\(529\) | 10.2339 | − | 8.58726i | 0.444952 | − | 0.373359i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −9.33609 | −0.405152 | ||||||||
\(532\) | 5.60008 | − | 10.7545i | 0.242794 | − | 0.466267i | ||||
\(533\) | −17.9906 | −0.779261 | ||||||||
\(534\) | 1.40716 | + | 7.98042i | 0.0608939 | + | 0.345346i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.37265 | − | 1.95548i | 0.232063 | − | 0.0844640i | ||||
\(537\) | 0.376490 | + | 0.137031i | 0.0162467 | + | 0.00591333i | ||||
\(538\) | 7.15929 | + | 6.00736i | 0.308659 | + | 0.258995i | ||||
\(539\) | −1.16812 | + | 2.02324i | −0.0503145 | + | 0.0871473i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.81672 | − | 21.6457i | 0.164093 | − | 0.930620i | −0.785901 | − | 0.618353i | \(-0.787800\pi\) |
0.949994 | − | 0.312267i | \(-0.101088\pi\) | |||||||
\(542\) | −1.68070 | + | 9.53175i | −0.0721924 | + | 0.409424i | ||||
\(543\) | −7.17466 | − | 12.4269i | −0.307894 | − | 0.533289i | ||||
\(544\) | 0.678520 | − | 1.17523i | 0.0290913 | − | 0.0503877i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −10.7300 | − | 3.90541i | −0.459203 | − | 0.167136i | ||||
\(547\) | −26.1305 | + | 9.51074i | −1.11726 | + | 0.406650i | −0.833652 | − | 0.552290i | \(-0.813754\pi\) |
−0.283609 | + | 0.958940i | \(0.591532\pi\) | |||||||
\(548\) | 4.73650 | − | 3.97439i | 0.202333 | − | 0.169778i | ||||
\(549\) | 1.67086 | + | 9.47593i | 0.0713107 | + | 0.404423i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −20.9888 | + | 40.3072i | −0.894151 | + | 1.71715i | ||||
\(552\) | −5.15103 | −0.219242 | ||||||||
\(553\) | −1.08147 | − | 6.13335i | −0.0459890 | − | 0.260816i | ||||
\(554\) | 1.99910 | − | 1.67744i | 0.0849336 | − | 0.0712677i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.24626 | − | 3.00139i | −0.349719 | − | 0.127287i | ||||
\(557\) | −11.9805 | − | 10.0528i | −0.507630 | − | 0.425952i | 0.352664 | − | 0.935750i | \(-0.385276\pi\) |
−0.860294 | + | 0.509798i | \(0.829720\pi\) | |||||||
\(558\) | −8.63224 | + | 14.9515i | −0.365432 | + | 0.632947i | ||||
\(559\) | 3.69325 | + | 6.39690i | 0.156208 | + | 0.270560i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.637323 | − | 3.61444i | 0.0269078 | − | 0.152602i | ||||
\(562\) | 15.1206 | + | 26.1897i | 0.637825 | + | 1.10474i | ||||
\(563\) | 15.9429 | − | 27.6140i | 0.671914 | − | 1.16379i | −0.305446 | − | 0.952209i | \(-0.598806\pi\) |
0.977361 | − | 0.211580i | \(-0.0678610\pi\) | |||||||
\(564\) | −1.94491 | − | 1.63197i | −0.0818955 | − | 0.0687185i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 17.9068 | − | 6.51754i | 0.752679 | − | 0.273953i | ||||
\(567\) | 6.31779 | − | 5.30126i | 0.265322 | − | 0.222632i | ||||
\(568\) | −0.156080 | − | 0.885174i | −0.00654897 | − | 0.0371411i | ||||
\(569\) | 16.2946 | 0.683104 | 0.341552 | − | 0.939863i | \(-0.389047\pi\) | ||||
0.341552 | + | 0.939863i | \(0.389047\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 45.9474 | 1.92284 | 0.961418 | − | 0.275090i | \(-0.0887077\pi\) | ||||
0.961418 | + | 0.275090i | \(0.0887077\pi\) | |||||||
\(572\) | −2.64180 | − | 14.9824i | −0.110459 | − | 0.626444i | ||||
\(573\) | −11.8817 | + | 9.96995i | −0.496366 | + | 0.416501i | ||||
\(574\) | 9.78649 | − | 3.56199i | 0.408480 | − | 0.148675i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.73912 | − | 1.45929i | −0.0724632 | − | 0.0608038i | ||||
\(577\) | 21.0732 | − | 36.4998i | 0.877288 | − | 1.51951i | 0.0229826 | − | 0.999736i | \(-0.492684\pi\) |
0.854305 | − | 0.519771i | \(-0.173983\pi\) | |||||||
\(578\) | −7.57922 | − | 13.1276i | −0.315254 | − | 0.546036i | ||||
\(579\) | 0.661834 | − | 3.75345i | 0.0275049 | − | 0.155988i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.5945 | − | 20.0822i | −0.481021 | − | 0.833152i | ||||
\(582\) | −1.12326 | + | 1.94554i | −0.0465605 | + | 0.0806451i | ||||
\(583\) | −10.4506 | − | 8.76906i | −0.432818 | − | 0.363177i | ||||
\(584\) | 9.83446 | + | 3.57945i | 0.406953 | + | 0.148119i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.481164 | + | 0.403745i | −0.0198767 | + | 0.0166785i | ||||
\(587\) | 3.63466 | + | 20.6132i | 0.150019 | + | 0.850797i | 0.963200 | + | 0.268787i | \(0.0866227\pi\) |
−0.813181 | + | 0.582011i | \(0.802266\pi\) | |||||||
\(588\) | 0.630364 | 0.0259958 | ||||||||
\(589\) | −24.4419 | + | 22.3915i | −1.00711 | + | 0.922624i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.03628 | − | 17.2196i | −0.124896 | − | 0.708319i | ||||
\(592\) | −8.40299 | + | 7.05094i | −0.345361 | + | 0.289792i | ||||
\(593\) | 32.4706 | − | 11.8183i | 1.33341 | − | 0.485320i | 0.425676 | − | 0.904875i | \(-0.360036\pi\) |
0.907730 | + | 0.419555i | \(0.137814\pi\) | |||||||
\(594\) | −13.3941 | − | 4.87506i | −0.549567 | − | 0.200026i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −8.23473 | + | 14.2630i | −0.337307 | + | 0.584234i | ||||
\(597\) | −3.46239 | − | 5.99703i | −0.141706 | − | 0.245442i | ||||
\(598\) | 5.03149 | − | 28.5350i | 0.205753 | − | 1.16688i | ||||
\(599\) | −0.508878 | + | 2.88599i | −0.0207922 | + | 0.117918i | −0.993437 | − | 0.114378i | \(-0.963513\pi\) |
0.972645 | + | 0.232296i | \(0.0746238\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.1662 | + | 28.0006i | −0.659432 | + | 1.14217i | 0.321331 | + | 0.946967i | \(0.395870\pi\) |
−0.980763 | + | 0.195202i | \(0.937464\pi\) | |||||||
\(602\) | −3.27558 | − | 2.74853i | −0.133502 | − | 0.112022i | ||||
\(603\) | 12.1973 | + | 4.43945i | 0.496712 | + | 0.180788i | ||||
\(604\) | −13.8461 | + | 5.03957i | −0.563390 | + | 0.205057i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.55866 | − | 14.5109i | −0.103939 | − | 0.589465i | ||||
\(607\) | −12.3695 | −0.502063 | −0.251031 | − | 0.967979i | \(-0.580770\pi\) | ||||
−0.251031 | + | 0.967979i | \(0.580770\pi\) | |||||||
\(608\) | −2.34159 | − | 3.67654i | −0.0949642 | − | 0.149103i | ||||
\(609\) | −24.7743 | −1.00391 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.9404 | − | 9.18006i | 0.442600 | − | 0.371385i | ||||
\(612\) | 2.89503 | − | 1.05371i | 0.117025 | − | 0.0425935i | ||||
\(613\) | 14.5146 | + | 5.28288i | 0.586239 | + | 0.213373i | 0.618074 | − | 0.786120i | \(-0.287913\pi\) |
−0.0318356 | + | 0.999493i | \(0.510135\pi\) | |||||||
\(614\) | 16.3205 | + | 13.6945i | 0.658641 | + | 0.552666i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.40345 | + | 7.62700i | 0.177420 | + | 0.307301i | ||||
\(617\) | −7.72363 | + | 43.8029i | −0.310942 | + | 1.76344i | 0.283185 | + | 0.959065i | \(0.408609\pi\) |
−0.594126 | + | 0.804372i | \(0.702502\pi\) | |||||||
\(618\) | −1.80398 | + | 10.2309i | −0.0725666 | + | 0.411545i | ||||
\(619\) | 1.83161 | + | 3.17245i | 0.0736187 | + | 0.127511i | 0.900485 | − | 0.434888i | \(-0.143212\pi\) |
−0.826866 | + | 0.562399i | \(0.809879\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −20.7960 | − | 17.4499i | −0.834514 | − | 0.700240i | ||||
\(622\) | 30.9721 | + | 11.2729i | 1.24187 | + | 0.452003i | ||||
\(623\) | 24.7963 | − | 9.02511i | 0.993442 | − | 0.361583i | ||||
\(624\) | −3.14454 | + | 2.63858i | −0.125882 | + | 0.105628i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −28.5227 | −1.14000 | ||||||||
\(627\) | −9.35191 | − | 7.17775i | −0.373479 | − | 0.286652i | ||||
\(628\) | −9.18206 | −0.366404 | ||||||||
\(629\) | −2.58490 | − | 14.6597i | −0.103067 | − | 0.584519i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.5764 | + | 4.94141i | −0.540468 | + | 0.196714i | −0.597807 | − | 0.801640i | \(-0.703961\pi\) |
0.0573381 | + | 0.998355i | \(0.481739\pi\) | |||||||
\(632\) | −2.10387 | − | 0.765748i | −0.0836876 | − | 0.0304598i | ||||
\(633\) | 15.9856 | + | 13.4135i | 0.635370 | + | 0.533139i | ||||
\(634\) | 15.3283 | − | 26.5494i | 0.608764 | − | 1.05441i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.639190 | + | 3.62502i | −0.0253455 | + | 0.143742i | ||||
\(637\) | −0.615736 | + | 3.49201i | −0.0243963 | + | 0.138358i | ||||
\(638\) | −16.5039 | − | 28.5855i | −0.653394 | − | 1.13171i | ||||
\(639\) | 1.02029 | − | 1.76719i | 0.0403619 | − | 0.0699089i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −3.70070 | − | 1.34695i | −0.146169 | − | 0.0532011i | 0.267900 | − | 0.963447i | \(-0.413670\pi\) |
−0.414069 | + | 0.910246i | \(0.635893\pi\) | |||||||
\(642\) | 11.1990 | − | 4.07611i | 0.441990 | − | 0.160871i | ||||
\(643\) | −32.0655 | + | 26.9061i | −1.26454 | + | 1.06107i | −0.269355 | + | 0.963041i | \(0.586811\pi\) |
−0.995183 | + | 0.0980331i | \(0.968745\pi\) | |||||||
\(644\) | 2.91267 | + | 16.5185i | 0.114775 | + | 0.650922i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.90961 | − | 0.257308i | 0.232510 | − | 0.0101237i | ||||
\(647\) | 37.3768 | 1.46943 | 0.734716 | − | 0.678375i | \(-0.237315\pi\) | ||||
0.734716 | + | 0.678375i | \(0.237315\pi\) | |||||||
\(648\) | −0.514837 | − | 2.91978i | −0.0202247 | − | 0.114700i | ||||
\(649\) | 9.97368 | − | 8.36891i | 0.391501 | − | 0.328509i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.9810 | − | 6.18056i | −0.665536 | − | 0.242235i | ||||
\(652\) | −12.5376 | − | 10.5203i | −0.491011 | − | 0.412007i | ||||
\(653\) | −15.4098 | + | 26.6905i | −0.603031 | + | 1.04448i | 0.389328 | + | 0.921099i | \(0.372707\pi\) |
−0.992359 | + | 0.123381i | \(0.960626\pi\) | |||||||
\(654\) | 7.25514 | + | 12.5663i | 0.283698 | + | 0.491380i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.650129 | − | 3.68706i | 0.0253833 | − | 0.143956i | ||||
\(657\) | 11.8798 | + | 20.5764i | 0.463475 | + | 0.802763i | ||||
\(658\) | −4.13373 | + | 7.15983i | −0.161150 | + | 0.279119i | ||||
\(659\) | −5.21609 | − | 4.37682i | −0.203190 | − | 0.170497i | 0.535514 | − | 0.844526i | \(-0.320118\pi\) |
−0.738705 | + | 0.674029i | \(0.764562\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.9368 | − | 12.3520i | 1.31999 | − | 0.480437i | 0.416535 | − | 0.909120i | \(-0.363244\pi\) |
0.903455 | + | 0.428683i | \(0.141022\pi\) | |||||||
\(662\) | −5.97791 | + | 5.01606i | −0.232338 | + | 0.194955i | ||||
\(663\) | −0.967311 | − | 5.48589i | −0.0375673 | − | 0.213054i | ||||
\(664\) | −8.33623 | −0.323508 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −24.9032 | −0.964978 | ||||||||
\(667\) | −10.9165 | − | 61.9105i | −0.422688 | − | 2.39718i | ||||
\(668\) | 10.0291 | − | 8.41539i | 0.388036 | − | 0.325601i | ||||
\(669\) | 19.9477 | − | 7.26038i | 0.771224 | − | 0.280702i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10.2792 | − | 8.62530i | −0.396826 | − | 0.332976i | ||||
\(672\) | 1.18814 | − | 2.05792i | 0.0458335 | − | 0.0793859i | ||||
\(673\) | 1.30856 | + | 2.26649i | 0.0504412 | + | 0.0873667i | 0.890144 | − | 0.455680i | \(-0.150604\pi\) |
−0.839702 | + | 0.543047i | \(0.817271\pi\) | |||||||
\(674\) | 0.623795 | − | 3.53771i | 0.0240277 | − | 0.136268i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.04530 | − | 8.73872i | −0.194050 | − | 0.336105i | ||||
\(677\) | 0.634426 | − | 1.09886i | 0.0243830 | − | 0.0422325i | −0.853576 | − | 0.520968i | \(-0.825571\pi\) |
0.877959 | + | 0.478735i | \(0.158905\pi\) | |||||||
\(678\) | 0.143220 | + | 0.120176i | 0.00550034 | + | 0.00461533i | ||||
\(679\) | 6.87418 | + | 2.50200i | 0.263807 | + | 0.0960179i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.45119 | + | 4.57409i | −0.208890 | + | 0.175279i | ||||
\(682\) | −4.18081 | − | 23.7106i | −0.160092 | − | 0.907924i | ||||
\(683\) | 16.3670 | 0.626264 | 0.313132 | − | 0.949710i | \(-0.398622\pi\) | ||||
0.313132 | + | 0.949710i | \(0.398622\pi\) | |||||||
\(684\) | 1.29284 | − | 9.81100i | 0.0494330 | − | 0.375133i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.02483 | + | 17.1547i | 0.115489 | + | 0.654968i | ||||
\(687\) | 0.457630 | − | 0.383997i | 0.0174597 | − | 0.0146504i | ||||
\(688\) | −1.44447 | + | 0.525743i | −0.0550698 | + | 0.0200438i | ||||
\(689\) | −19.4571 | − | 7.08180i | −0.741255 | − | 0.269795i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.07725 | − | 13.9902i | 0.307273 | − | 0.532213i | −0.670492 | − | 0.741917i | \(-0.733917\pi\) |
0.977765 | + | 0.209704i | \(0.0672501\pi\) | |||||||
\(692\) | −8.59110 | − | 14.8802i | −0.326585 | − | 0.565661i | ||||
\(693\) | −3.47191 | + | 19.6902i | −0.131887 | + | 0.747968i | ||||
\(694\) | 2.67020 | − | 15.1434i | 0.101359 | − | 0.574837i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −4.45307 | + | 7.71295i | −0.168793 | + | 0.292359i | ||||
\(697\) | 3.89203 | + | 3.26580i | 0.147421 | + | 0.123701i | ||||
\(698\) | 31.0075 | + | 11.2858i | 1.17365 | + | 0.427175i | ||||
\(699\) | −2.06407 | + | 0.751259i | −0.0780702 | + | 0.0284152i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.90435 | + | 22.1427i | 0.147465 | + | 0.836317i | 0.965355 | + | 0.260942i | \(0.0840331\pi\) |
−0.817889 | + | 0.575376i | \(0.804856\pi\) | |||||||
\(702\) | −21.6339 | −0.816519 | ||||||||
\(703\) | −45.5995 | − | 14.3835i | −1.71982 | − | 0.542483i | ||||
\(704\) | 3.16600 | 0.119323 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.47924 | − | 3.75853i | 0.168579 | − | 0.141454i | ||||
\(707\) | −45.0874 | + | 16.4105i | −1.69569 | + | 0.617179i | ||||
\(708\) | −3.30112 | − | 1.20151i | −0.124064 | − | 0.0451555i | ||||
\(709\) | 30.7633 | + | 25.8135i | 1.15534 | + | 0.969447i | 0.999831 | − | 0.0183876i | \(-0.00585328\pi\) |
0.155511 | + | 0.987834i | \(0.450298\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.54143 | − | 4.40189i | −0.0953112 | − | 0.165084i | ||||
\(712\) | 1.64725 | − | 9.34201i | 0.0617332 | − | 0.350106i | ||||
\(713\) | 7.96265 | − | 45.1584i | 0.298204 | − | 1.69120i | ||||
\(714\) | 1.61235 | + | 2.79268i | 0.0603408 | + | 0.104513i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −0.359282 | − | 0.301474i | −0.0134270 | − | 0.0112666i | ||||
\(717\) | −14.2356 | − | 5.18134i | −0.531639 | − | 0.193501i | ||||
\(718\) | 14.7203 | − | 5.35776i | 0.549358 | − | 0.199950i | ||||
\(719\) | 8.60668 | − | 7.22186i | 0.320975 | − | 0.269330i | −0.468036 | − | 0.883710i | \(-0.655038\pi\) |
0.789011 | + | 0.614380i | \(0.210594\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 33.8288 | 1.25985 | ||||||||
\(722\) | 8.03388 | − | 17.2179i | 0.298990 | − | 0.640785i | ||||
\(723\) | −7.72773 | −0.287397 | ||||||||
\(724\) | 2.91687 | + | 16.5424i | 0.108404 | + | 0.614792i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.783812 | + | 0.285284i | −0.0290900 | + | 0.0105879i | ||||
\(727\) | 4.30407 | + | 1.56655i | 0.159629 | + | 0.0581003i | 0.420599 | − | 0.907247i | \(-0.361820\pi\) |
−0.260970 | + | 0.965347i | \(0.584042\pi\) | |||||||
\(728\) | 10.2396 | + | 8.59206i | 0.379505 | + | 0.318443i | ||||
\(729\) | −2.40345 | + | 4.16290i | −0.0890167 | + | 0.154182i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.362230 | − | 2.05431i | 0.0133976 | − | 0.0759814i | ||||
\(732\) | −0.628711 | + | 3.56560i | −0.0232378 | + | 0.131788i | ||||
\(733\) | 1.77436 | + | 3.07329i | 0.0655376 | + | 0.113514i | 0.896932 | − | 0.442168i | \(-0.145790\pi\) |
−0.831395 | + | 0.555682i | \(0.812457\pi\) | |||||||
\(734\) | 7.03989 | − | 12.1935i | 0.259847 | − | 0.450069i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.66623 | + | 2.06234i | 0.208860 | + | 0.0760188i | ||||
\(737\) | −17.0098 | + | 6.19107i | −0.626565 | + | 0.228051i | ||||
\(738\) | 6.51115 | − | 5.46351i | 0.239679 | − | 0.201114i | ||||
\(739\) | −8.11900 | − | 46.0451i | −0.298662 | − | 1.69380i | −0.651934 | − | 0.758276i | \(-0.726042\pi\) |
0.353271 | − | 0.935521i | \(-0.385069\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −17.0641 | − | 5.38254i | −0.626865 | − | 0.197732i | ||||
\(742\) | 11.9863 | 0.440032 | ||||||||
\(743\) | 5.46514 | + | 30.9943i | 0.200496 | + | 1.13707i | 0.904371 | + | 0.426747i | \(0.140341\pi\) |
−0.703874 | + | 0.710324i | \(0.748548\pi\) | |||||||
\(744\) | −4.97644 | + | 4.17573i | −0.182445 | + | 0.153090i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.19672 | − | 1.16351i | −0.117040 | − | 0.0425992i | ||||
\(747\) | −14.4977 | − | 12.1650i | −0.530442 | − | 0.445094i | ||||
\(748\) | −2.14820 | + | 3.72079i | −0.0785459 | + | 0.136045i | ||||
\(749\) | −19.4040 | − | 33.6087i | −0.709006 | − | 1.22803i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.07418 | − | 6.09197i | 0.0391974 | − | 0.222299i | −0.958917 | − | 0.283688i | \(-0.908442\pi\) |
0.998114 | + | 0.0613890i | \(0.0195530\pi\) | |||||||
\(752\) | 1.48604 | + | 2.57390i | 0.0541903 | + | 0.0938603i | ||||
\(753\) | 2.88315 | − | 4.99377i | 0.105068 | − | 0.181983i | ||||
\(754\) | −38.3774 | − | 32.2025i | −1.39762 | − | 1.17275i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 11.7683 | − | 4.28332i | 0.428010 | − | 0.155783i | ||||
\(757\) | −32.5924 | + | 27.3483i | −1.18459 | + | 0.993990i | −0.184653 | + | 0.982804i | \(0.559116\pi\) |
−0.999937 | + | 0.0111858i | \(0.996439\pi\) | |||||||
\(758\) | −0.584173 | − | 3.31301i | −0.0212181 | − | 0.120334i | ||||
\(759\) | 16.3082 | 0.591949 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.05719 | 0.328323 | 0.164161 | − | 0.986433i | \(-0.447508\pi\) | ||||
0.164161 | + | 0.986433i | \(0.447508\pi\) | |||||||
\(762\) | 1.86450 | + | 10.5741i | 0.0675437 | + | 0.383060i | ||||
\(763\) | 36.1957 | − | 30.3718i | 1.31037 | − | 1.09953i | ||||
\(764\) | 17.0618 | − | 6.21000i | 0.617276 | − | 0.224670i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −1.33818 | − | 1.12286i | −0.0483503 | − | 0.0405707i | ||||
\(767\) | 9.88048 | − | 17.1135i | 0.356763 | − | 0.617932i | ||||
\(768\) | −0.427125 | − | 0.739803i | −0.0154126 | − | 0.0266953i | ||||
\(769\) | −2.77743 | + | 15.7516i | −0.100157 | + | 0.568017i | 0.892888 | + | 0.450279i | \(0.148676\pi\) |
−0.993045 | + | 0.117738i | \(0.962436\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.38100 | + | 2.39197i | 0.0497357 | + | 0.0861447i | ||||
\(772\) | −2.23082 | + | 3.86389i | −0.0802888 | + | 0.139064i | ||||
\(773\) | −33.0004 | − | 27.6907i | −1.18694 | − | 0.995964i | −0.999907 | − | 0.0136105i | \(-0.995667\pi\) |
−0.187036 | − | 0.982353i | \(-0.559888\pi\) | |||||||
\(774\) | −3.27931 | − | 1.19357i | −0.117872 | − | 0.0429020i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2.01455 | − | 1.69041i | 0.0723180 | − | 0.0606820i | ||||
\(777\) | −4.52634 | − | 25.6702i | −0.162382 | − | 0.920912i | ||||
\(778\) | 2.95418 | 0.105913 | ||||||||
\(779\) | 15.0780 | − | 6.24338i | 0.540224 | − | 0.223692i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.494150 | + | 2.80246i | 0.0176821 | + | 0.100280i | ||||
\(782\) | −6.26838 | + | 5.25979i | −0.224157 | + | 0.188090i | ||||
\(783\) | −44.1070 | + | 16.0536i | −1.57625 | + | 0.573710i | ||||
\(784\) | −0.693413 | − | 0.252382i | −0.0247648 | − | 0.00901364i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.93905 | + | 10.2867i | −0.211839 | + | 0.366915i | ||||
\(787\) | −0.505079 | − | 0.874822i | −0.0180041 | − | 0.0311840i | 0.856883 | − | 0.515511i | \(-0.172398\pi\) |
−0.874887 | + | 0.484327i | \(0.839065\pi\) | |||||||
\(788\) | −3.55432 | + | 20.1575i | −0.126617 | + | 0.718082i | ||||
\(789\) | 0.151915 | − | 0.861552i | 0.00540831 | − | 0.0306721i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.304401 | − | 0.527239i | 0.0108233 | − | 0.0187465i | ||||
\(792\) | 5.50605 | + | 4.62012i | 0.195649 | + | 0.164169i | ||||
\(793\) | −19.1381 | − | 6.96570i | −0.679614 | − | 0.247359i | ||||
\(794\) | −1.79077 | + | 0.651789i | −0.0635522 | + | 0.0231311i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.40764 | + | 7.98310i | 0.0498924 | + | 0.282954i | ||||
\(797\) | 38.3494 | 1.35841 | 0.679203 | − | 0.733951i | \(-0.262326\pi\) | ||||
0.679203 | + | 0.733951i | \(0.262326\pi\) | |||||||
\(798\) | 10.3482 | − | 0.450566i | 0.366321 | − | 0.0159499i | ||||
\(799\) | −4.03323 | −0.142686 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 16.4975 | − | 13.8430i | 0.582909 | − | 0.489119i | ||||
\(802\) | 2.40143 | − | 0.874050i | 0.0847975 | − | 0.0308638i | ||||
\(803\) | −31.1359 | − | 11.3325i | −1.09876 | − | 0.399917i | ||||
\(804\) | 3.74147 | + | 3.13946i | 0.131951 | + | 0.110720i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −18.2712 | − | 31.6466i | −0.643575 | − | 1.11470i | ||||
\(807\) | −1.38635 | + | 7.86236i | −0.0488017 | + | 0.276768i | ||||
\(808\) | −2.99521 | + | 16.9867i | −0.105371 | + | 0.597590i | ||||
\(809\) | −26.9094 | − | 46.6085i | −0.946086 | − | 1.63867i | −0.753563 | − | 0.657376i | \(-0.771667\pi\) |
−0.192522 | − | 0.981293i | \(-0.561667\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −33.3848 | − | 28.0132i | −1.17230 | − | 0.983676i | −0.172300 | − | 0.985044i | \(-0.555120\pi\) |
−0.999999 | + | 0.00136831i | \(0.999564\pi\) | |||||||
\(812\) | 27.2522 | + | 9.91900i | 0.956366 | + | 0.348089i | ||||
\(813\) | −7.76949 | + | 2.82786i | −0.272488 | + | 0.0991774i | ||||
\(814\) | 26.6039 | − | 22.3233i | 0.932466 | − | 0.782432i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 1.15925 | 0.0405820 | ||||||||
\(817\) | −5.31527 | − | 4.07956i | −0.185958 | − | 0.142726i | ||||
\(818\) | 0.993545 | 0.0347385 | ||||||||
\(819\) | 5.26956 | + | 29.8852i | 0.184133 | + | 1.04427i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 22.1270 | − | 8.05358i | 0.772239 | − | 0.281072i | 0.0743065 | − | 0.997235i | \(-0.476326\pi\) |
0.697933 | + | 0.716163i | \(0.254103\pi\) | |||||||
\(822\) | 4.96335 | + | 1.80651i | 0.173117 | + | 0.0630093i | ||||
\(823\) | 19.5518 | + | 16.4059i | 0.681534 | + | 0.571875i | 0.916454 | − | 0.400140i | \(-0.131038\pi\) |
−0.234920 | + | 0.972015i | \(0.575483\pi\) | |||||||
\(824\) | 6.08058 | − | 10.5319i | 0.211827 | − | 0.366895i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.98643 | + | 11.2656i | −0.0691166 | + | 0.391980i | ||||
\(827\) | 1.04161 | − | 5.90726i | 0.0362203 | − | 0.205416i | −0.961327 | − | 0.275409i | \(-0.911187\pi\) |
0.997547 | + | 0.0699935i | \(0.0222978\pi\) | |||||||
\(828\) | 6.84468 | + | 11.8553i | 0.237869 | + | 0.412001i | ||||
\(829\) | 4.83910 | − | 8.38157i | 0.168069 | − | 0.291104i | −0.769672 | − | 0.638440i | \(-0.779580\pi\) |
0.937741 | + | 0.347336i | \(0.112914\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.09484 | + | 0.762460i | 0.0726693 | + | 0.0264495i | ||||
\(832\) | 4.51548 | − | 1.64350i | 0.156546 | − | 0.0569781i | ||||
\(833\) | 0.767102 | − | 0.643675i | 0.0265785 | − | 0.0223020i | ||||
\(834\) | −1.30175 | − | 7.38258i | −0.0450758 | − | 0.255638i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 7.41349 | + | 11.6399i | 0.256401 | + | 0.402575i | ||||
\(837\) | −34.2370 | −1.18340 | ||||||||
\(838\) | 2.58141 | + | 14.6399i | 0.0891732 | + | 0.505726i | ||||
\(839\) | 23.9478 | − | 20.0946i | 0.826768 | − | 0.693741i | −0.127778 | − | 0.991803i | \(-0.540785\pi\) |
0.954547 | + | 0.298062i | \(0.0963402\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −74.8886 | − | 27.2572i | −2.58237 | − | 0.939904i | ||||
\(842\) | −29.8436 | − | 25.0418i | −1.02848 | − | 0.862997i | ||||
\(843\) | −12.9168 | + | 22.3725i | −0.444878 | + | 0.770551i | ||||
\(844\) | −12.2140 | − | 21.1553i | −0.420424 | − | 0.728197i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.17167 | + | 6.64487i | −0.0402829 | + | 0.228455i | ||||
\(847\) | 1.35807 | + | 2.35225i | 0.0466639 | + | 0.0808242i | ||||
\(848\) | 2.15449 | − | 3.73168i | 0.0739854 | − | 0.128147i | ||||
\(849\) | 12.4701 | + | 10.4637i | 0.427974 | + | 0.359113i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 62.1547 | − | 22.6225i | 2.13064 | − | 0.775488i | ||||
\(852\) | 0.588189 | − | 0.493549i | 0.0201510 | − | 0.0169087i | ||||
\(853\) | 7.36275 | + | 41.7562i | 0.252096 | + | 1.42971i | 0.803419 | + | 0.595414i | \(0.203012\pi\) |
−0.551324 | + | 0.834292i | \(0.685877\pi\) | |||||||
\(854\) | 11.7898 | 0.403440 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −13.9511 | −0.476839 | ||||||||
\(857\) | −6.27056 | − | 35.5621i | −0.214198 | − | 1.21478i | −0.882292 | − | 0.470702i | \(-0.844001\pi\) |
0.668094 | − | 0.744077i | \(-0.267110\pi\) | |||||||
\(858\) | 9.95562 | − | 8.35376i | 0.339879 | − | 0.285193i | ||||
\(859\) | −24.3549 | + | 8.86444i | −0.830977 | + | 0.302451i | −0.722260 | − | 0.691622i | \(-0.756897\pi\) |
−0.108717 | + | 0.994073i | \(0.534674\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.81523 | + | 5.71866i | 0.232262 | + | 0.194891i | ||||
\(862\) | −13.6112 | + | 23.5752i | −0.463598 | + | 0.802975i | ||||
\(863\) | 22.7413 | + | 39.3891i | 0.774124 | + | 1.34082i | 0.935286 | + | 0.353894i | \(0.115143\pi\) |
−0.161162 | + | 0.986928i | \(0.551524\pi\) | |||||||
\(864\) | 0.781785 | − | 4.43372i | 0.0265969 | − | 0.150838i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −16.6941 | − | 28.9150i | −0.567288 | − | 0.982571i | ||||
\(867\) | 6.47455 | − | 11.2143i | 0.219887 | − | 0.380856i | ||||
\(868\) | 16.2048 | + | 13.5975i | 0.550028 | + | 0.461529i | ||||
\(869\) | 6.66087 | + | 2.42436i | 0.225955 | + | 0.0822407i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.0462 | + | 17.6599i | −0.713124 | + | 0.598382i | ||||
\(872\) | −2.94958 | − | 16.7279i | −0.0998855 | − | 0.566479i | ||||
\(873\) | 5.97033 | 0.202065 | ||||||||
\(874\) | 5.68574 | + | 25.6613i | 0.192323 | + | 0.868006i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1.55246 | + | 8.80443i | 0.0524527 | + | 0.297474i | ||||
\(877\) | −20.6745 | + | 17.3479i | −0.698127 | + | 0.585798i | −0.921240 | − | 0.388995i | \(-0.872822\pi\) |
0.223113 | + | 0.974793i | \(0.428378\pi\) | |||||||
\(878\) | 17.4044 | − | 6.33467i | 0.587369 | − | 0.213785i | ||||
\(879\) | −0.504209 | − | 0.183517i | −0.0170065 | − | 0.00618988i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −24.0249 | + | 41.6123i | −0.809419 | + | 1.40196i | 0.103847 | + | 0.994593i | \(0.466885\pi\) |
−0.913267 | + | 0.407362i | \(0.866449\pi\) | |||||||
\(882\) | −0.837628 | − | 1.45081i | −0.0282044 | − | 0.0488514i | ||||
\(883\) | −3.54171 | + | 20.0861i | −0.119188 | + | 0.675949i | 0.865403 | + | 0.501077i | \(0.167063\pi\) |
−0.984591 | + | 0.174873i | \(0.944049\pi\) | |||||||
\(884\) | −1.13235 | + | 6.42188i | −0.0380851 | + | 0.215991i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 6.79176 | − | 11.7637i | 0.228174 | − | 0.395208i | ||||
\(887\) | −20.0250 | − | 16.8029i | −0.672372 | − | 0.564187i | 0.241394 | − | 0.970427i | \(-0.422395\pi\) |
−0.913767 | + | 0.406240i | \(0.866840\pi\) | |||||||
\(888\) | −8.80544 | − | 3.20492i | −0.295491 | − | 0.107550i | ||||
\(889\) | 32.8553 | − | 11.9583i | 1.10193 | − | 0.401070i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.62997 | + | 9.24405i | 0.0546062 | + | 0.309687i | ||||
\(892\) | −24.8498 | −0.832031 | ||||||||
\(893\) | −5.98333 | + | 11.4905i | −0.200224 | + | 0.384515i | ||||
\(894\) | −14.0690 | −0.470539 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.13091 | + | 1.78805i | −0.0711888 | + | 0.0597345i | ||||
\(897\) | 23.2593 | − | 8.46570i | 0.776606 | − | 0.282662i | ||||
\(898\) | 2.63671 | + | 0.959686i | 0.0879883 | + | 0.0320251i | ||||
\(899\) | −60.7348 | − | 50.9625i | −2.02562 | − | 1.69970i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.92373 | + | 5.06405i | 0.0974035 | + | 0.168708i | ||||
\(902\) | −2.05831 | + | 11.6733i | −0.0685342 | + | 0.388677i | ||||
\(903\) | 0.634292 | − | 3.59725i | 0.0211079 | − | 0.119709i | ||||
\(904\) | −0.109430 | − | 0.189538i | −0.00363957 | − | 0.00630393i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −9.64231 | − | 8.09086i | −0.320344 | − | 0.268801i | ||||
\(907\) | 7.18433 | + | 2.61488i | 0.238552 | + | 0.0868258i | 0.458530 | − | 0.888679i | \(-0.348376\pi\) |
−0.219978 | + | 0.975505i | \(0.570598\pi\) | |||||||
\(908\) | 7.82776 | − | 2.84907i | 0.259773 | − | 0.0945497i | ||||
\(909\) | −29.9976 | + | 25.1709i | −0.994956 | + | 0.834868i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 25.2731 | 0.837335 | 0.418668 | − | 0.908140i | \(-0.362497\pi\) | ||||
0.418668 | + | 0.908140i | \(0.362497\pi\) | |||||||
\(912\) | 1.71976 | − | 3.30266i | 0.0569470 | − | 0.109362i | ||||
\(913\) | 26.3925 | 0.873465 | ||||||||
\(914\) | −3.27892 | − | 18.5957i | −0.108457 | − | 0.615091i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.657144 | + | 0.239181i | −0.0217127 | + | 0.00790276i | ||||
\(917\) | 36.3462 | + | 13.2289i | 1.20026 | + | 0.436858i | ||||
\(918\) | 4.68020 | + | 3.92715i | 0.154469 | + | 0.129615i | ||||
\(919\) | −9.50216 | + | 16.4582i | −0.313447 | + | 0.542907i | −0.979106 | − | 0.203349i | \(-0.934817\pi\) |
0.665659 | + | 0.746256i | \(0.268151\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.16035 | + | 17.9232i | −0.104137 | + | 0.590590i | ||||
\(922\) | −0.950337 | + | 5.38963i | −0.0312977 | + | 0.177498i | ||||
\(923\) | 2.15956 | + | 3.74046i | 0.0710827 | + | 0.123119i | ||||
\(924\) | −3.76165 | + | 6.51537i | −0.123749 | + | 0.214340i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −6.63341 | − | 2.41436i | −0.217987 | − | 0.0793409i | ||||
\(927\) | 25.9439 | − | 9.44282i | 0.852110 | − | 0.310143i | ||||
\(928\) | 7.98653 | − | 6.70150i | 0.262171 | − | 0.219987i | ||||
\(929\) | 1.18404 | + | 6.71501i | 0.0388470 | + | 0.220312i | 0.998051 | − | 0.0624023i | \(-0.0198762\pi\) |
−0.959204 | + | 0.282715i | \(0.908765\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.695800 | − | 3.14034i | −0.0228039 | − | 0.102920i | ||||
\(932\) | 2.57130 | 0.0842257 | ||||||||
\(933\) | 4.88923 | + | 27.7282i | 0.160066 | + | 0.907781i | ||||
\(934\) | 7.28419 | − | 6.11216i | 0.238346 | − | 0.199996i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 10.2513 | + | 3.73116i | 0.335074 | + | 0.121957i | ||||
\(937\) | 1.49929 | + | 1.25805i | 0.0489796 | + | 0.0410988i | 0.666949 | − | 0.745104i | \(-0.267600\pi\) |
−0.617969 | + | 0.786202i | \(0.712044\pi\) | |||||||
\(938\) | 7.95215 | − | 13.7735i | 0.259647 | − | 0.449722i | ||||
\(939\) | −12.1828 | − | 21.1012i | −0.397569 | − | 0.688610i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1.30211 | + | 7.38466i | −0.0424477 | + | 0.240733i | −0.998648 | − | 0.0519798i | \(-0.983447\pi\) |
0.956200 | + | 0.292713i | \(0.0945580\pi\) | |||||||
\(942\) | −3.92189 | − | 6.79292i | −0.127782 | − | 0.221325i | ||||
\(943\) | −11.2878 | + | 19.5510i | −0.367580 | + | 0.636667i | ||||
\(944\) | 3.15025 | + | 2.64337i | 0.102532 | + | 0.0860343i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 4.57318 | − | 1.66450i | 0.148687 | − | 0.0541177i | ||||
\(947\) | 0.549732 | − | 0.461280i | 0.0178639 | − | 0.0149896i | −0.633812 | − | 0.773487i | \(-0.718511\pi\) |
0.651676 | + | 0.758498i | \(0.274066\pi\) | |||||||
\(948\) | −0.332116 | − | 1.88352i | −0.0107866 | − | 0.0611740i | ||||
\(949\) | −50.2901 | −1.63248 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 26.1884 | 0.849217 | ||||||||
\(952\) | −0.655504 | − | 3.71755i | −0.0212450 | − | 0.120486i | ||||
\(953\) | −37.5256 | + | 31.4877i | −1.21557 | + | 1.01999i | −0.216528 | + | 0.976277i | \(0.569473\pi\) |
−0.999044 | + | 0.0437094i | \(0.986082\pi\) | |||||||
\(954\) | 9.19252 | − | 3.34580i | 0.297619 | − | 0.108324i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 13.5850 | + | 11.3992i | 0.439370 | + | 0.368675i | ||||
\(957\) | 14.0984 | − | 24.4192i | 0.455738 | − | 0.789361i | ||||
\(958\) | 15.3224 | + | 26.5391i | 0.495043 | + | 0.857440i | ||||
\(959\) | 2.98666 | − | 16.9382i | 0.0964442 | − | 0.546962i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.4153 | − | 23.2360i | −0.432752 | − | 0.749549i | ||||
\(962\) | 26.3553 | − | 45.6487i | 0.849728 | − | 1.47177i | ||||
\(963\) | −24.2626 | − | 20.3587i | −0.781852 | − | 0.656052i | ||||
\(964\) | 8.50065 | + | 3.09399i | 0.273788 | + | 0.0996506i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −10.9764 | + | 9.21029i | −0.353160 | + | 0.296336i | ||||
\(967\) | −0.906194 | − | 5.13928i | −0.0291412 | − | 0.165268i | 0.966764 | − | 0.255670i | \(-0.0822960\pi\) |
−0.995905 | + | 0.0904018i | \(0.971185\pi\) | |||||||
\(968\) | 0.976429 | 0.0313836 | ||||||||
\(969\) | 2.71450 | + | 4.26204i | 0.0872023 | + | 0.136916i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.747673 | + | 4.24027i | 0.0239940 | + | 0.136077i | 0.994452 | − | 0.105195i | \(-0.0335467\pi\) |
−0.970458 | + | 0.241272i | \(0.922436\pi\) | |||||||
\(972\) | 12.2866 | − | 10.3097i | 0.394094 | − | 0.330684i | ||||
\(973\) | −22.9387 | + | 8.34901i | −0.735381 | + | 0.267657i | ||||
\(974\) | 27.1778 | + | 9.89193i | 0.870834 | + | 0.316958i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.11917 | − | 3.67051i | 0.0678330 | − | 0.117490i | ||||
\(977\) | 10.0224 | + | 17.3593i | 0.320645 | + | 0.555374i | 0.980621 | − | 0.195913i | \(-0.0627669\pi\) |
−0.659976 | + | 0.751287i | \(0.729434\pi\) | |||||||
\(978\) | 2.42782 | − | 13.7689i | 0.0776332 | − | 0.440280i | ||||
\(979\) | −5.21519 | + | 29.5768i | −0.166678 | + | 0.945279i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 19.2813 | − | 33.3961i | 0.615603 | − | 1.06626i | ||||
\(982\) | 30.3092 | + | 25.4325i | 0.967206 | + | 0.811582i | ||||
\(983\) | −29.9674 | − | 10.9072i | −0.955812 | − | 0.347887i | −0.183421 | − | 0.983034i | \(-0.558717\pi\) |
−0.772391 | + | 0.635147i | \(0.780939\pi\) | |||||||
\(984\) | 3.00539 | − | 1.09387i | 0.0958082 | − | 0.0348713i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 2.45679 | + | 13.9331i | 0.0782400 | + | 0.443721i | ||||
\(987\) | −7.06249 | −0.224801 | ||||||||
\(988\) | 16.6158 | + | 12.7529i | 0.528619 | + | 0.405724i | ||||
\(989\) | 9.26894 | 0.294735 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 28.4508 | − | 23.8730i | 0.903768 | − | 0.758352i | −0.0671549 | − | 0.997743i | \(-0.521392\pi\) |
0.970923 | + | 0.239391i | \(0.0769477\pi\) | |||||||
\(992\) | 7.14603 | − | 2.60094i | 0.226887 | − | 0.0825800i | ||||
\(993\) | −6.26422 | − | 2.27999i | −0.198789 | − | 0.0723533i | ||||
\(994\) | −1.91533 | − | 1.60715i | −0.0607505 | − | 0.0509757i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −3.56062 | − | 6.16717i | −0.112822 | − | 0.195414i | ||||
\(997\) | 9.74265 | − | 55.2533i | 0.308553 | − | 1.74989i | −0.297738 | − | 0.954648i | \(-0.596232\pi\) |
0.606291 | − | 0.795243i | \(-0.292657\pi\) | |||||||
\(998\) | −0.530491 | + | 3.00856i | −0.0167924 | + | 0.0952344i | ||||
\(999\) | −24.6926 | − | 42.7688i | −0.781239 | − | 1.35315i |
(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 | 950.2.l.j.351.3 | ✓ | 24 | |
5.2 | odd | 4 | 950.2.u.h.199.6 | 48 | |||
5.3 | odd | 4 | 950.2.u.h.199.3 | 48 | |||
5.4 | even | 2 | 950.2.l.k.351.2 | yes | 24 | ||
19.17 | even | 9 | inner | 950.2.l.j.701.3 | yes | 24 | |
95.17 | odd | 36 | 950.2.u.h.549.3 | 48 | |||
95.74 | even | 18 | 950.2.l.k.701.2 | yes | 24 | ||
95.93 | odd | 36 | 950.2.u.h.549.6 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.l.j.351.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
950.2.l.j.701.3 | yes | 24 | 19.17 | even | 9 | inner | |
950.2.l.k.351.2 | yes | 24 | 5.4 | even | 2 | ||
950.2.l.k.701.2 | yes | 24 | 95.74 | even | 18 | ||
950.2.u.h.199.3 | 48 | 5.3 | odd | 4 | |||
950.2.u.h.199.6 | 48 | 5.2 | odd | 4 | |||
950.2.u.h.549.3 | 48 | 95.17 | odd | 36 | |||
950.2.u.h.549.6 | 48 | 95.93 | odd | 36 |