Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(29,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.w (of order \(10\), degree \(4\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.11 | ||
Character | \(\chi\) | \(=\) | 462.29 |
Dual form | 462.2.w.a.239.11 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | 1.63204 | − | 0.580034i | 0.942260 | − | 0.334883i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.571630 | − | 0.786781i | −0.255640 | − | 0.351859i | 0.661836 | − | 0.749648i | \(-0.269777\pi\) |
−0.917477 | + | 0.397790i | \(0.869777\pi\) | |||||||
\(6\) | −1.66128 | − | 0.490033i | −0.678217 | − | 0.200055i | ||||
\(7\) | 0.951057 | − | 0.309017i | 0.359466 | − | 0.116797i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 2.32712 | − | 1.89328i | 0.775707 | − | 0.631093i | ||||
\(10\) | 0.972514i | 0.307536i | ||||||||
\(11\) | −2.84501 | − | 1.70468i | −0.857803 | − | 0.513979i | ||||
\(12\) | 1.05597 | + | 1.37292i | 0.304833 | + | 0.396329i | ||||
\(13\) | 1.75047 | − | 2.40931i | 0.485492 | − | 0.668222i | −0.494057 | − | 0.869430i | \(-0.664486\pi\) |
0.979549 | + | 0.201207i | \(0.0644865\pi\) | |||||||
\(14\) | −0.951057 | − | 0.309017i | −0.254181 | − | 0.0825883i | ||||
\(15\) | −1.38928 | − | 0.952494i | −0.358711 | − | 0.245933i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −1.52155 | + | 1.10547i | −0.369031 | + | 0.268117i | −0.756809 | − | 0.653636i | \(-0.773243\pi\) |
0.387778 | + | 0.921753i | \(0.373243\pi\) | |||||||
\(18\) | −2.99552 | + | 0.163846i | −0.706051 | + | 0.0386190i | ||||
\(19\) | 4.57260 | + | 1.48573i | 1.04903 | + | 0.340849i | 0.782286 | − | 0.622919i | \(-0.214053\pi\) |
0.266740 | + | 0.963768i | \(0.414053\pi\) | |||||||
\(20\) | 0.571630 | − | 0.786781i | 0.127820 | − | 0.175929i | ||||
\(21\) | 1.37292 | − | 1.05597i | 0.299597 | − | 0.230432i | ||||
\(22\) | 1.29968 | + | 3.05137i | 0.277092 | + | 0.650553i | ||||
\(23\) | − | 5.74403i | − | 1.19771i | −0.800856 | − | 0.598857i | \(-0.795622\pi\) | ||
0.800856 | − | 0.598857i | \(-0.204378\pi\) | |||||||
\(24\) | −0.0473160 | − | 1.73140i | −0.00965835 | − | 0.353421i | ||||
\(25\) | 1.25282 | − | 3.85579i | 0.250564 | − | 0.771158i | ||||
\(26\) | −2.83231 | + | 0.920275i | −0.555462 | + | 0.180481i | ||||
\(27\) | 2.69980 | − | 4.43972i | 0.519576 | − | 0.854424i | ||||
\(28\) | 0.587785 | + | 0.809017i | 0.111081 | + | 0.152890i | ||||
\(29\) | 1.68464 | + | 5.18478i | 0.312829 | + | 0.962790i | 0.976639 | + | 0.214888i | \(0.0689387\pi\) |
−0.663809 | + | 0.747902i | \(0.731061\pi\) | |||||||
\(30\) | 0.564091 | + | 1.58718i | 0.102988 | + | 0.289779i | ||||
\(31\) | −1.90838 | − | 1.38652i | −0.342754 | − | 0.249026i | 0.403069 | − | 0.915170i | \(-0.367944\pi\) |
−0.745823 | + | 0.666144i | \(0.767944\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −5.63194 | − | 1.13190i | −0.980396 | − | 0.197038i | ||||
\(34\) | 1.88074 | 0.322545 | ||||||||
\(35\) | −0.786781 | − | 0.571630i | −0.132990 | − | 0.0966230i | ||||
\(36\) | 2.51974 | + | 1.62817i | 0.419956 | + | 0.271362i | ||||
\(37\) | 0.449588 | + | 1.38369i | 0.0739118 | + | 0.227477i | 0.981187 | − | 0.193061i | \(-0.0618414\pi\) |
−0.907275 | + | 0.420538i | \(0.861841\pi\) | |||||||
\(38\) | −2.82602 | − | 3.88969i | −0.458441 | − | 0.630991i | ||||
\(39\) | 1.45935 | − | 4.94742i | 0.233684 | − | 0.792222i | ||||
\(40\) | −0.924916 | + | 0.300523i | −0.146242 | + | 0.0475169i | ||||
\(41\) | −0.867615 | + | 2.67024i | −0.135499 | + | 0.417022i | −0.995667 | − | 0.0929878i | \(-0.970358\pi\) |
0.860169 | + | 0.510010i | \(0.170358\pi\) | |||||||
\(42\) | −1.73140 | + | 0.0473160i | −0.267161 | + | 0.00730102i | ||||
\(43\) | 9.83226i | 1.49941i | 0.661774 | + | 0.749703i | \(0.269804\pi\) | ||||
−0.661774 | + | 0.749703i | \(0.730196\pi\) | |||||||
\(44\) | 0.742086 | − | 3.23254i | 0.111874 | − | 0.487324i | ||||
\(45\) | −2.81985 | − | 0.748680i | −0.420358 | − | 0.111607i | ||||
\(46\) | −3.37626 | + | 4.64702i | −0.497802 | + | 0.685166i | ||||
\(47\) | −3.10821 | − | 1.00992i | −0.453380 | − | 0.147312i | 0.0734207 | − | 0.997301i | \(-0.476608\pi\) |
−0.526800 | + | 0.849989i | \(0.676608\pi\) | |||||||
\(48\) | −0.979414 | + | 1.42855i | −0.141366 | + | 0.206193i | ||||
\(49\) | 0.809017 | − | 0.587785i | 0.115574 | − | 0.0839693i | ||||
\(50\) | −3.27993 | + | 2.38301i | −0.463852 | + | 0.337008i | ||||
\(51\) | −1.84203 | + | 2.68673i | −0.257935 | + | 0.376218i | ||||
\(52\) | 2.83231 | + | 0.920275i | 0.392771 | + | 0.127619i | ||||
\(53\) | 4.54972 | − | 6.26216i | 0.624953 | − | 0.860174i | −0.372749 | − | 0.927932i | \(-0.621585\pi\) |
0.997702 | + | 0.0677587i | \(0.0215848\pi\) | |||||||
\(54\) | −4.79378 | + | 2.00491i | −0.652351 | + | 0.272833i | ||||
\(55\) | 0.285087 | + | 3.21284i | 0.0384411 | + | 0.433219i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 8.32445 | − | 0.227492i | 1.10260 | − | 0.0301320i | ||||
\(58\) | 1.68464 | − | 5.18478i | 0.221204 | − | 0.680795i | ||||
\(59\) | 5.00962 | − | 1.62773i | 0.652197 | − | 0.211912i | 0.0358146 | − | 0.999358i | \(-0.488597\pi\) |
0.616383 | + | 0.787447i | \(0.288597\pi\) | |||||||
\(60\) | 0.476564 | − | 1.61562i | 0.0615242 | − | 0.208576i | ||||
\(61\) | −4.75913 | − | 6.55038i | −0.609344 | − | 0.838690i | 0.387180 | − | 0.922004i | \(-0.373449\pi\) |
−0.996523 | + | 0.0833147i | \(0.973449\pi\) | |||||||
\(62\) | 0.728935 | + | 2.24343i | 0.0925748 | + | 0.284916i | ||||
\(63\) | 1.62817 | − | 2.51974i | 0.205130 | − | 0.317457i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −2.89622 | −0.359231 | ||||||||
\(66\) | 3.89103 | + | 4.22610i | 0.478952 | + | 0.520197i | ||||
\(67\) | −10.1641 | −1.24174 | −0.620869 | − | 0.783915i | \(-0.713220\pi\) | ||||
−0.620869 | + | 0.783915i | \(0.713220\pi\) | |||||||
\(68\) | −1.52155 | − | 1.10547i | −0.184515 | − | 0.134058i | ||||
\(69\) | −3.33173 | − | 9.37450i | −0.401093 | − | 1.12856i | ||||
\(70\) | 0.300523 | + | 0.924916i | 0.0359194 | + | 0.110549i | ||||
\(71\) | 8.37489 | + | 11.5270i | 0.993916 | + | 1.36801i | 0.928984 | + | 0.370119i | \(0.120683\pi\) |
0.0649319 | + | 0.997890i | \(0.479317\pi\) | |||||||
\(72\) | −1.08149 | − | 2.79828i | −0.127455 | − | 0.329780i | ||||
\(73\) | −9.90401 | + | 3.21801i | −1.15918 | + | 0.376639i | −0.824593 | − | 0.565727i | \(-0.808596\pi\) |
−0.334583 | + | 0.942366i | \(0.608596\pi\) | |||||||
\(74\) | 0.449588 | − | 1.38369i | 0.0522635 | − | 0.160851i | ||||
\(75\) | −0.191829 | − | 7.01949i | −0.0221506 | − | 0.810541i | ||||
\(76\) | 4.80792i | 0.551506i | ||||||||
\(77\) | −3.23254 | − | 0.742086i | −0.368382 | − | 0.0845685i | ||||
\(78\) | −4.08867 | + | 3.14476i | −0.462950 | + | 0.356074i | ||||
\(79\) | −0.154938 | + | 0.213253i | −0.0174318 | + | 0.0239929i | −0.817644 | − | 0.575724i | \(-0.804720\pi\) |
0.800212 | + | 0.599717i | \(0.204720\pi\) | |||||||
\(80\) | 0.924916 | + | 0.300523i | 0.103409 | + | 0.0335995i | ||||
\(81\) | 1.83099 | − | 8.81178i | 0.203444 | − | 0.979087i | ||||
\(82\) | 2.27144 | − | 1.65030i | 0.250839 | − | 0.182245i | ||||
\(83\) | 0.173794 | − | 0.126269i | 0.0190764 | − | 0.0138598i | −0.578206 | − | 0.815891i | \(-0.696247\pi\) |
0.597283 | + | 0.802031i | \(0.296247\pi\) | |||||||
\(84\) | 1.42855 | + | 0.979414i | 0.155867 | + | 0.106863i | ||||
\(85\) | 1.73953 | + | 0.565208i | 0.188679 | + | 0.0613054i | ||||
\(86\) | 5.77926 | − | 7.95447i | 0.623194 | − | 0.857752i | ||||
\(87\) | 5.75675 | + | 7.48464i | 0.617188 | + | 0.802437i | ||||
\(88\) | −2.50040 | + | 2.17899i | −0.266543 | + | 0.232281i | ||||
\(89\) | 12.7280i | 1.34916i | 0.738201 | + | 0.674580i | \(0.235675\pi\) | ||||
−0.738201 | + | 0.674580i | \(0.764325\pi\) | |||||||
\(90\) | 1.84124 | + | 2.26316i | 0.194084 | + | 0.238558i | ||||
\(91\) | 0.920275 | − | 2.83231i | 0.0964710 | − | 0.296907i | ||||
\(92\) | 5.46290 | − | 1.77500i | 0.569547 | − | 0.185057i | ||||
\(93\) | −3.91878 | − | 1.15593i | −0.406358 | − | 0.119864i | ||||
\(94\) | 1.92098 | + | 2.64400i | 0.198134 | + | 0.272708i | ||||
\(95\) | −1.44489 | − | 4.44692i | −0.148243 | − | 0.456244i | ||||
\(96\) | 1.63204 | − | 0.580034i | 0.166570 | − | 0.0591994i | ||||
\(97\) | 11.5900 | + | 8.42062i | 1.17678 | + | 0.854984i | 0.991805 | − | 0.127758i | \(-0.0407782\pi\) |
0.184979 | + | 0.982742i | \(0.440778\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | −9.84811 | + | 1.41941i | −0.989772 | + | 0.142656i | ||||
\(100\) | 4.05422 | 0.405422 | ||||||||
\(101\) | 12.7945 | + | 9.29577i | 1.27310 | + | 0.924963i | 0.999322 | − | 0.0368286i | \(-0.0117255\pi\) |
0.273781 | + | 0.961792i | \(0.411726\pi\) | |||||||
\(102\) | 3.06945 | − | 1.09089i | 0.303921 | − | 0.108015i | ||||
\(103\) | 0.666231 | + | 2.05045i | 0.0656457 | + | 0.202037i | 0.978499 | − | 0.206250i | \(-0.0661262\pi\) |
−0.912854 | + | 0.408287i | \(0.866126\pi\) | |||||||
\(104\) | −1.75047 | − | 2.40931i | −0.171647 | − | 0.236252i | ||||
\(105\) | −1.61562 | − | 0.476564i | −0.157669 | − | 0.0465079i | ||||
\(106\) | −7.36161 | + | 2.39193i | −0.715023 | + | 0.232325i | ||||
\(107\) | −2.48959 | + | 7.66218i | −0.240678 | + | 0.740730i | 0.755639 | + | 0.654988i | \(0.227326\pi\) |
−0.996317 | + | 0.0857426i | \(0.972674\pi\) | |||||||
\(108\) | 5.05671 | + | 1.19571i | 0.486582 | + | 0.115057i | ||||
\(109\) | 10.5564i | 1.01112i | 0.862792 | + | 0.505559i | \(0.168714\pi\) | ||||
−0.862792 | + | 0.505559i | \(0.831286\pi\) | |||||||
\(110\) | 1.65782 | − | 2.76681i | 0.158067 | − | 0.263805i | ||||
\(111\) | 1.53633 | + | 1.99746i | 0.145822 | + | 0.189591i | ||||
\(112\) | −0.587785 | + | 0.809017i | −0.0555405 | + | 0.0764449i | ||||
\(113\) | 3.38693 | + | 1.10048i | 0.318615 | + | 0.103524i | 0.463959 | − | 0.885857i | \(-0.346429\pi\) |
−0.145343 | + | 0.989381i | \(0.546429\pi\) | |||||||
\(114\) | −6.86834 | − | 4.70894i | −0.643279 | − | 0.441033i | ||||
\(115\) | −4.51929 | + | 3.28346i | −0.421426 | + | 0.306184i | ||||
\(116\) | −4.41044 | + | 3.20437i | −0.409499 | + | 0.297518i | ||||
\(117\) | −0.487946 | − | 8.92088i | −0.0451107 | − | 0.824736i | ||||
\(118\) | −5.00962 | − | 1.62773i | −0.461173 | − | 0.149844i | ||||
\(119\) | −1.10547 | + | 1.52155i | −0.101339 | + | 0.139481i | ||||
\(120\) | −1.33519 | + | 1.02695i | −0.121885 | + | 0.0937472i | ||||
\(121\) | 5.18817 | + | 9.69964i | 0.471651 | + | 0.881785i | ||||
\(122\) | 8.09671i | 0.733042i | ||||||||
\(123\) | 0.132847 | + | 4.86119i | 0.0119784 | + | 0.438319i | ||||
\(124\) | 0.728935 | − | 2.24343i | 0.0654603 | − | 0.201466i | ||||
\(125\) | −8.37439 | + | 2.72100i | −0.749028 | + | 0.243374i | ||||
\(126\) | −2.79828 | + | 1.08149i | −0.249291 | + | 0.0963472i | ||||
\(127\) | 5.16680 | + | 7.11149i | 0.458479 | + | 0.631042i | 0.974193 | − | 0.225719i | \(-0.0724730\pi\) |
−0.515713 | + | 0.856761i | \(0.672473\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 5.70304 | + | 16.0467i | 0.502125 | + | 1.41283i | ||||
\(130\) | 2.34309 | + | 1.70235i | 0.205502 | + | 0.149306i | ||||
\(131\) | 1.56612 | 0.136832 | 0.0684162 | − | 0.997657i | \(-0.478205\pi\) | ||||
0.0684162 | + | 0.997657i | \(0.478205\pi\) | |||||||
\(132\) | −0.663866 | − | 5.70607i | −0.0577821 | − | 0.496650i | ||||
\(133\) | 4.80792 | 0.416899 | ||||||||
\(134\) | 8.22290 | + | 5.97428i | 0.710350 | + | 0.516099i | ||||
\(135\) | −5.03637 | + | 0.413728i | −0.433461 | + | 0.0356080i | ||||
\(136\) | 0.581182 | + | 1.78869i | 0.0498359 | + | 0.153379i | ||||
\(137\) | 10.2108 | + | 14.0539i | 0.872364 | + | 1.20071i | 0.978478 | + | 0.206353i | \(0.0661594\pi\) |
−0.106113 | + | 0.994354i | \(0.533841\pi\) | |||||||
\(138\) | −2.81477 | + | 9.54247i | −0.239609 | + | 0.812309i | ||||
\(139\) | −8.55692 | + | 2.78031i | −0.725789 | + | 0.235823i | −0.648531 | − | 0.761188i | \(-0.724616\pi\) |
−0.0772576 | + | 0.997011i | \(0.524616\pi\) | |||||||
\(140\) | 0.300523 | − | 0.924916i | 0.0253989 | − | 0.0781697i | ||||
\(141\) | −5.65852 | + | 0.154637i | −0.476534 | + | 0.0130228i | ||||
\(142\) | − | 14.2482i | − | 1.19568i | ||||||
\(143\) | −9.08719 | + | 3.87054i | −0.759909 | + | 0.323670i | ||||
\(144\) | −0.769840 | + | 2.89954i | −0.0641533 | + | 0.241629i | ||||
\(145\) | 3.11630 | − | 4.28922i | 0.258794 | − | 0.356200i | ||||
\(146\) | 9.90401 | + | 3.21801i | 0.819661 | + | 0.266324i | ||||
\(147\) | 0.979414 | − | 1.42855i | 0.0807807 | − | 0.117825i | ||||
\(148\) | −1.17704 | + | 0.855167i | −0.0967518 | + | 0.0702943i | ||||
\(149\) | −5.20514 | + | 3.78175i | −0.426421 | + | 0.309813i | −0.780216 | − | 0.625510i | \(-0.784891\pi\) |
0.353795 | + | 0.935323i | \(0.384891\pi\) | |||||||
\(150\) | −3.97076 | + | 5.79164i | −0.324211 | + | 0.472885i | ||||
\(151\) | 0.662492 | + | 0.215257i | 0.0539128 | + | 0.0175173i | 0.335849 | − | 0.941916i | \(-0.390977\pi\) |
−0.281936 | + | 0.959433i | \(0.590977\pi\) | |||||||
\(152\) | 2.82602 | − | 3.88969i | 0.229221 | − | 0.315495i | ||||
\(153\) | −1.44787 | + | 5.45330i | −0.117054 | + | 0.440873i | ||||
\(154\) | 2.17899 | + | 2.50040i | 0.175588 | + | 0.201488i | ||||
\(155\) | 2.29405i | 0.184262i | ||||||||
\(156\) | 5.15625 | − | 0.140911i | 0.412830 | − | 0.0112819i | ||||
\(157\) | 6.31535 | − | 19.4366i | 0.504020 | − | 1.55121i | −0.298393 | − | 0.954443i | \(-0.596451\pi\) |
0.802412 | − | 0.596770i | \(-0.203549\pi\) | |||||||
\(158\) | 0.250694 | − | 0.0814555i | 0.0199442 | − | 0.00648025i | ||||
\(159\) | 3.79308 | − | 12.8591i | 0.300811 | − | 1.01979i | ||||
\(160\) | −0.571630 | − | 0.786781i | −0.0451913 | − | 0.0622005i | ||||
\(161\) | −1.77500 | − | 5.46290i | −0.139890 | − | 0.430537i | ||||
\(162\) | −6.66074 | + | 6.05265i | −0.523317 | + | 0.475541i | ||||
\(163\) | −12.8337 | − | 9.32426i | −1.00522 | − | 0.730333i | −0.0420162 | − | 0.999117i | \(-0.513378\pi\) |
−0.963200 | + | 0.268784i | \(0.913378\pi\) | |||||||
\(164\) | −2.80766 | −0.219241 | ||||||||
\(165\) | 2.32883 | + | 5.07813i | 0.181299 | + | 0.395332i | ||||
\(166\) | −0.214822 | −0.0166734 | ||||||||
\(167\) | −8.53080 | − | 6.19799i | −0.660133 | − | 0.479615i | 0.206575 | − | 0.978431i | \(-0.433768\pi\) |
−0.866708 | + | 0.498816i | \(0.833768\pi\) | |||||||
\(168\) | −0.580034 | − | 1.63204i | −0.0447506 | − | 0.125915i | ||||
\(169\) | 1.27658 | + | 3.92890i | 0.0981983 | + | 0.302223i | ||||
\(170\) | −1.07509 | − | 1.47973i | −0.0824555 | − | 0.113490i | ||||
\(171\) | 13.4539 | − | 5.19974i | 1.02885 | − | 0.397634i | ||||
\(172\) | −9.35104 | + | 3.03834i | −0.713010 | + | 0.231671i | ||||
\(173\) | 3.63893 | − | 11.1995i | 0.276663 | − | 0.851481i | −0.712112 | − | 0.702066i | \(-0.752261\pi\) |
0.988775 | − | 0.149415i | \(-0.0477390\pi\) | |||||||
\(174\) | −0.257948 | − | 9.43893i | −0.0195550 | − | 0.715563i | ||||
\(175\) | − | 4.05422i | − | 0.306470i | ||||||
\(176\) | 3.30364 | − | 0.293144i | 0.249022 | − | 0.0220966i | ||||
\(177\) | 7.23178 | − | 5.56227i | 0.543574 | − | 0.418085i | ||||
\(178\) | 7.48131 | − | 10.2971i | 0.560748 | − | 0.771803i | ||||
\(179\) | −17.8272 | − | 5.79240i | −1.33247 | − | 0.432944i | −0.445708 | − | 0.895178i | \(-0.647048\pi\) |
−0.886758 | + | 0.462234i | \(0.847048\pi\) | |||||||
\(180\) | −0.159343 | − | 2.91319i | −0.0118767 | − | 0.217136i | ||||
\(181\) | 9.83603 | − | 7.14630i | 0.731107 | − | 0.531180i | −0.158807 | − | 0.987310i | \(-0.550765\pi\) |
0.889913 | + | 0.456130i | \(0.150765\pi\) | |||||||
\(182\) | −2.40931 | + | 1.75047i | −0.178590 | + | 0.129753i | ||||
\(183\) | −11.5665 | − | 7.93003i | −0.855023 | − | 0.586205i | ||||
\(184\) | −5.46290 | − | 1.77500i | −0.402730 | − | 0.130855i | ||||
\(185\) | 0.831662 | − | 1.14468i | 0.0611450 | − | 0.0841589i | ||||
\(186\) | 2.49092 | + | 3.23857i | 0.182643 | + | 0.237463i | ||||
\(187\) | 6.21331 | − | 0.551329i | 0.454362 | − | 0.0403171i | ||||
\(188\) | − | 3.26817i | − | 0.238356i | ||||||
\(189\) | 1.19571 | − | 5.05671i | 0.0869751 | − | 0.367821i | ||||
\(190\) | −1.44489 | + | 4.44692i | −0.104823 | + | 0.322613i | ||||
\(191\) | −21.9501 | + | 7.13201i | −1.58825 | + | 0.516054i | −0.964166 | − | 0.265301i | \(-0.914529\pi\) |
−0.624086 | + | 0.781355i | \(0.714529\pi\) | |||||||
\(192\) | −1.66128 | − | 0.490033i | −0.119893 | − | 0.0353651i | ||||
\(193\) | 14.9669 | + | 20.6001i | 1.07734 | + | 1.48283i | 0.862418 | + | 0.506198i | \(0.168949\pi\) |
0.214921 | + | 0.976631i | \(0.431051\pi\) | |||||||
\(194\) | −4.42698 | − | 13.6248i | −0.317839 | − | 0.978207i | ||||
\(195\) | −4.72675 | + | 1.67990i | −0.338489 | + | 0.120300i | ||||
\(196\) | 0.809017 | + | 0.587785i | 0.0577869 | + | 0.0419847i | ||||
\(197\) | 23.4139 | 1.66817 | 0.834084 | − | 0.551637i | \(-0.185997\pi\) | ||||
0.834084 | + | 0.551637i | \(0.185997\pi\) | |||||||
\(198\) | 8.80160 | + | 4.64025i | 0.625502 | + | 0.329768i | ||||
\(199\) | −12.8014 | −0.907466 | −0.453733 | − | 0.891138i | \(-0.649908\pi\) | ||||
−0.453733 | + | 0.891138i | \(0.649908\pi\) | |||||||
\(200\) | −3.27993 | − | 2.38301i | −0.231926 | − | 0.168504i | ||||
\(201\) | −16.5882 | + | 5.89550i | −1.17004 | + | 0.415836i | ||||
\(202\) | −4.88707 | − | 15.0409i | −0.343853 | − | 1.05827i | ||||
\(203\) | 3.20437 | + | 4.41044i | 0.224903 | + | 0.309552i | ||||
\(204\) | −3.12445 | − | 0.921627i | −0.218755 | − | 0.0645268i | ||||
\(205\) | 2.59685 | − | 0.843768i | 0.181372 | − | 0.0589313i | ||||
\(206\) | 0.666231 | − | 2.05045i | 0.0464185 | − | 0.142862i | ||||
\(207\) | −10.8751 | − | 13.3671i | −0.755868 | − | 0.929075i | ||||
\(208\) | 2.97807i | 0.206492i | ||||||||
\(209\) | −10.4764 | − | 12.0217i | −0.724669 | − | 0.831559i | ||||
\(210\) | 1.02695 | + | 1.33519i | 0.0708662 | + | 0.0921367i | ||||
\(211\) | −0.843459 | + | 1.16092i | −0.0580661 | + | 0.0799211i | −0.837063 | − | 0.547107i | \(-0.815729\pi\) |
0.778996 | + | 0.627028i | \(0.215729\pi\) | |||||||
\(212\) | 7.36161 | + | 2.39193i | 0.505597 | + | 0.164279i | ||||
\(213\) | 20.3542 | + | 13.9549i | 1.39465 | + | 0.956174i | ||||
\(214\) | 6.51784 | − | 4.73548i | 0.445550 | − | 0.323711i | ||||
\(215\) | 7.73583 | − | 5.62041i | 0.527579 | − | 0.383309i | ||||
\(216\) | −3.38814 | − | 3.93961i | −0.230534 | − | 0.268056i | ||||
\(217\) | −2.24343 | − | 0.728935i | −0.152294 | − | 0.0494833i | ||||
\(218\) | 6.20488 | − | 8.54028i | 0.420247 | − | 0.578421i | ||||
\(219\) | −14.2972 | + | 10.9966i | −0.966115 | + | 0.743080i | ||||
\(220\) | −2.96750 | + | 1.26396i | −0.200069 | + | 0.0852159i | ||||
\(221\) | 5.60099i | 0.376763i | ||||||||
\(222\) | −0.0688400 | − | 2.51902i | −0.00462024 | − | 0.169065i | ||||
\(223\) | 5.91869 | − | 18.2159i | 0.396345 | − | 1.21982i | −0.531564 | − | 0.847018i | \(-0.678396\pi\) |
0.927909 | − | 0.372806i | \(-0.121604\pi\) | |||||||
\(224\) | 0.951057 | − | 0.309017i | 0.0635451 | − | 0.0206471i | ||||
\(225\) | −4.38461 | − | 11.3448i | −0.292308 | − | 0.756322i | ||||
\(226\) | −2.09324 | − | 2.88109i | −0.139240 | − | 0.191648i | ||||
\(227\) | −3.49450 | − | 10.7550i | −0.231938 | − | 0.713832i | −0.997513 | − | 0.0704850i | \(-0.977545\pi\) |
0.765575 | − | 0.643347i | \(-0.222455\pi\) | |||||||
\(228\) | 2.78875 | + | 7.84672i | 0.184690 | + | 0.519662i | ||||
\(229\) | −19.9335 | − | 14.4825i | −1.31724 | − | 0.957033i | −0.999962 | − | 0.00870125i | \(-0.997230\pi\) |
−0.317281 | − | 0.948332i | \(-0.602770\pi\) | |||||||
\(230\) | 5.58615 | 0.368340 | ||||||||
\(231\) | −5.70607 | + | 0.663866i | −0.375432 | + | 0.0436792i | ||||
\(232\) | 5.45160 | 0.357915 | ||||||||
\(233\) | 1.58866 | + | 1.15423i | 0.104077 | + | 0.0756161i | 0.638606 | − | 0.769534i | \(-0.279511\pi\) |
−0.534530 | + | 0.845150i | \(0.679511\pi\) | |||||||
\(234\) | −4.84880 | + | 7.50395i | −0.316976 | + | 0.490549i | ||||
\(235\) | 0.982162 | + | 3.02278i | 0.0640692 | + | 0.197185i | ||||
\(236\) | 3.09612 | + | 4.26144i | 0.201540 | + | 0.277396i | ||||
\(237\) | −0.129171 | + | 0.437907i | −0.00839053 | + | 0.0284451i | ||||
\(238\) | 1.78869 | − | 0.581182i | 0.115944 | − | 0.0376724i | ||||
\(239\) | 2.49653 | − | 7.68353i | 0.161487 | − | 0.497007i | −0.837273 | − | 0.546785i | \(-0.815852\pi\) |
0.998760 | + | 0.0497784i | \(0.0158515\pi\) | |||||||
\(240\) | 1.68382 | − | 0.0460155i | 0.108690 | − | 0.00297029i | ||||
\(241\) | − | 3.64087i | − | 0.234529i | −0.993101 | − | 0.117264i | \(-0.962587\pi\) | ||
0.993101 | − | 0.117264i | \(-0.0374125\pi\) | |||||||
\(242\) | 1.50399 | − | 10.8967i | 0.0966800 | − | 0.700466i | ||||
\(243\) | −2.12287 | − | 15.4432i | −0.136182 | − | 0.990684i | ||||
\(244\) | 4.75913 | − | 6.55038i | 0.304672 | − | 0.419345i | ||||
\(245\) | −0.924916 | − | 0.300523i | −0.0590907 | − | 0.0191997i | ||||
\(246\) | 2.74986 | − | 4.01087i | 0.175325 | − | 0.255724i | ||||
\(247\) | 11.5838 | − | 8.41610i | 0.737057 | − | 0.535503i | ||||
\(248\) | −1.90838 | + | 1.38652i | −0.121182 | + | 0.0880439i | ||||
\(249\) | 0.210399 | − | 0.306883i | 0.0133335 | − | 0.0194479i | ||||
\(250\) | 8.37439 | + | 2.72100i | 0.529643 | + | 0.172091i | ||||
\(251\) | 6.41246 | − | 8.82599i | 0.404751 | − | 0.557091i | −0.557178 | − | 0.830393i | \(-0.688116\pi\) |
0.961928 | + | 0.273302i | \(0.0881158\pi\) | |||||||
\(252\) | 2.89954 | + | 0.769840i | 0.182654 | + | 0.0484954i | ||||
\(253\) | −9.79171 | + | 16.3418i | −0.615599 | + | 1.02740i | ||||
\(254\) | − | 8.79028i | − | 0.551551i | ||||||
\(255\) | 3.16683 | − | 0.0865434i | 0.198314 | − | 0.00541956i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 19.2897 | − | 6.26761i | 1.20326 | − | 0.390963i | 0.362301 | − | 0.932061i | \(-0.381991\pi\) |
0.840959 | + | 0.541098i | \(0.181991\pi\) | |||||||
\(258\) | 4.81813 | − | 16.3342i | 0.299964 | − | 1.01692i | ||||
\(259\) | 0.855167 | + | 1.17704i | 0.0531375 | + | 0.0731375i | ||||
\(260\) | −0.894980 | − | 2.75447i | −0.0555043 | − | 0.170825i | ||||
\(261\) | 13.7366 | + | 8.87613i | 0.850274 | + | 0.549419i | ||||
\(262\) | −1.26702 | − | 0.920542i | −0.0782766 | − | 0.0568713i | ||||
\(263\) | 0.950621 | 0.0586178 | 0.0293089 | − | 0.999570i | \(-0.490669\pi\) | ||||
0.0293089 | + | 0.999570i | \(0.490669\pi\) | |||||||
\(264\) | −2.81687 | + | 5.00652i | −0.173366 | + | 0.308130i | ||||
\(265\) | −7.52770 | −0.462423 | ||||||||
\(266\) | −3.88969 | − | 2.82602i | −0.238492 | − | 0.173275i | ||||
\(267\) | 7.38264 | + | 20.7726i | 0.451810 | + | 1.27126i | ||||
\(268\) | −3.14087 | − | 9.66659i | −0.191859 | − | 0.590481i | ||||
\(269\) | 3.32467 | + | 4.57602i | 0.202709 | + | 0.279005i | 0.898253 | − | 0.439478i | \(-0.144837\pi\) |
−0.695544 | + | 0.718483i | \(0.744837\pi\) | |||||||
\(270\) | 4.31769 | + | 2.62559i | 0.262766 | + | 0.159788i | ||||
\(271\) | 5.61372 | − | 1.82401i | 0.341009 | − | 0.110801i | −0.133506 | − | 0.991048i | \(-0.542624\pi\) |
0.474515 | + | 0.880247i | \(0.342624\pi\) | |||||||
\(272\) | 0.581182 | − | 1.78869i | 0.0352393 | − | 0.108455i | ||||
\(273\) | −0.140911 | − | 5.15625i | −0.00852830 | − | 0.312070i | ||||
\(274\) | − | 17.3716i | − | 1.04946i | ||||||
\(275\) | −10.1372 | + | 8.83410i | −0.611294 | + | 0.532717i | ||||
\(276\) | 7.88612 | − | 6.06555i | 0.474689 | − | 0.365103i | ||||
\(277\) | 13.7587 | − | 18.9373i | 0.826682 | − | 1.13783i | −0.161849 | − | 0.986815i | \(-0.551746\pi\) |
0.988532 | − | 0.151015i | \(-0.0482541\pi\) | |||||||
\(278\) | 8.55692 | + | 2.78031i | 0.513210 | + | 0.166752i | ||||
\(279\) | −7.06609 | + | 0.386494i | −0.423035 | + | 0.0231388i | ||||
\(280\) | −0.786781 | + | 0.571630i | −0.0470191 | + | 0.0341614i | ||||
\(281\) | −19.2505 | + | 13.9863i | −1.14839 | + | 0.834355i | −0.988266 | − | 0.152742i | \(-0.951190\pi\) |
−0.160125 | + | 0.987097i | \(0.551190\pi\) | |||||||
\(282\) | 4.66873 | + | 3.20089i | 0.278019 | + | 0.190610i | ||||
\(283\) | −29.1116 | − | 9.45892i | −1.73050 | − | 0.562275i | −0.736981 | − | 0.675913i | \(-0.763749\pi\) |
−0.993522 | + | 0.113639i | \(0.963749\pi\) | |||||||
\(284\) | −8.37489 | + | 11.5270i | −0.496958 | + | 0.684004i | ||||
\(285\) | −4.93749 | − | 6.41947i | −0.292471 | − | 0.380257i | ||||
\(286\) | 9.62673 | + | 2.20998i | 0.569241 | + | 0.130679i | ||||
\(287\) | 2.80766i | 0.165731i | ||||||||
\(288\) | 2.32712 | − | 1.89328i | 0.137127 | − | 0.111563i | ||||
\(289\) | −4.16023 | + | 12.8039i | −0.244720 | + | 0.753170i | ||||
\(290\) | −5.04228 | + | 1.63833i | −0.296093 | + | 0.0962063i | ||||
\(291\) | 23.7996 | + | 7.02022i | 1.39516 | + | 0.411533i | ||||
\(292\) | −6.12101 | − | 8.42485i | −0.358205 | − | 0.493027i | ||||
\(293\) | −6.45315 | − | 19.8607i | −0.376997 | − | 1.16028i | −0.942121 | − | 0.335272i | \(-0.891172\pi\) |
0.565125 | − | 0.825006i | \(-0.308828\pi\) | |||||||
\(294\) | −1.63204 | + | 0.580034i | −0.0951826 | + | 0.0338282i | ||||
\(295\) | −4.14431 | − | 3.01102i | −0.241291 | − | 0.175308i | ||||
\(296\) | 1.45490 | 0.0845642 | ||||||||
\(297\) | −15.2492 | + | 8.02877i | −0.884850 | + | 0.465877i | ||||
\(298\) | 6.43390 | 0.372706 | ||||||||
\(299\) | −13.8392 | − | 10.0547i | −0.800339 | − | 0.581480i | ||||
\(300\) | 6.61665 | − | 2.35158i | 0.382013 | − | 0.135769i | ||||
\(301\) | 3.03834 | + | 9.35104i | 0.175127 | + | 0.538985i | ||||
\(302\) | −0.409443 | − | 0.563550i | −0.0235608 | − | 0.0324286i | ||||
\(303\) | 26.2731 | + | 7.74983i | 1.50935 | + | 0.445216i | ||||
\(304\) | −4.57260 | + | 1.48573i | −0.262257 | + | 0.0852124i | ||||
\(305\) | −2.43325 | + | 7.48878i | −0.139328 | + | 0.428806i | ||||
\(306\) | 4.37672 | − | 3.56077i | 0.250200 | − | 0.203556i | ||||
\(307\) | 33.3216i | 1.90177i | 0.309551 | + | 0.950883i | \(0.399821\pi\) | ||||
−0.309551 | + | 0.950883i | \(0.600179\pi\) | |||||||
\(308\) | −0.293144 | − | 3.30364i | −0.0167034 | − | 0.188243i | ||||
\(309\) | 2.27665 | + | 2.95998i | 0.129514 | + | 0.168388i | ||||
\(310\) | 1.34841 | − | 1.85592i | 0.0765844 | − | 0.105409i | ||||
\(311\) | −2.05528 | − | 0.667801i | −0.116544 | − | 0.0378675i | 0.250164 | − | 0.968203i | \(-0.419515\pi\) |
−0.366709 | + | 0.930336i | \(0.619515\pi\) | |||||||
\(312\) | −4.25432 | − | 2.91677i | −0.240853 | − | 0.165129i | ||||
\(313\) | 6.51931 | − | 4.73656i | 0.368493 | − | 0.267726i | −0.388093 | − | 0.921620i | \(-0.626866\pi\) |
0.756586 | + | 0.653894i | \(0.226866\pi\) | |||||||
\(314\) | −16.5338 | + | 12.0125i | −0.933056 | + | 0.677905i | ||||
\(315\) | −2.91319 | + | 0.159343i | −0.164140 | + | 0.00897796i | ||||
\(316\) | −0.250694 | − | 0.0814555i | −0.0141027 | − | 0.00458223i | ||||
\(317\) | −7.02129 | + | 9.66398i | −0.394355 | + | 0.542783i | −0.959316 | − | 0.282335i | \(-0.908891\pi\) |
0.564961 | + | 0.825118i | \(0.308891\pi\) | |||||||
\(318\) | −10.6271 | + | 8.17371i | −0.595936 | + | 0.458359i | ||||
\(319\) | 4.04556 | − | 17.6225i | 0.226508 | − | 0.986672i | ||||
\(320\) | 0.972514i | 0.0543652i | ||||||||
\(321\) | 0.381201 | + | 13.9490i | 0.0212766 | + | 0.778559i | ||||
\(322\) | −1.77500 | + | 5.46290i | −0.0989171 | + | 0.304435i | ||||
\(323\) | −8.59989 | + | 2.79427i | −0.478511 | + | 0.155478i | ||||
\(324\) | 8.94631 | − | 0.981611i | 0.497017 | − | 0.0545340i | ||||
\(325\) | −7.09677 | − | 9.76786i | −0.393658 | − | 0.541824i | ||||
\(326\) | 4.90205 | + | 15.0870i | 0.271500 | + | 0.835590i | ||||
\(327\) | 6.12305 | + | 17.2284i | 0.338605 | + | 0.952735i | ||||
\(328\) | 2.27144 | + | 1.65030i | 0.125420 | + | 0.0911226i | ||||
\(329\) | −3.26817 | −0.180180 | ||||||||
\(330\) | 1.10079 | − | 5.47715i | 0.0605964 | − | 0.301507i | ||||
\(331\) | 8.59283 | 0.472305 | 0.236152 | − | 0.971716i | \(-0.424114\pi\) | ||||
0.236152 | + | 0.971716i | \(0.424114\pi\) | |||||||
\(332\) | 0.173794 | + | 0.126269i | 0.00953820 | + | 0.00692991i | ||||
\(333\) | 3.66596 | + | 2.36882i | 0.200893 | + | 0.129810i | ||||
\(334\) | 3.25847 | + | 10.0286i | 0.178296 | + | 0.548738i | ||||
\(335\) | 5.81008 | + | 7.99688i | 0.317438 | + | 0.436916i | ||||
\(336\) | −0.490033 | + | 1.66128i | −0.0267335 | + | 0.0906305i | ||||
\(337\) | 22.0974 | − | 7.17988i | 1.20372 | − | 0.391113i | 0.362593 | − | 0.931948i | \(-0.381892\pi\) |
0.841129 | + | 0.540835i | \(0.181892\pi\) | |||||||
\(338\) | 1.27658 | − | 3.92890i | 0.0694367 | − | 0.213704i | ||||
\(339\) | 6.16593 | − | 0.168503i | 0.334887 | − | 0.00915184i | ||||
\(340\) | 1.82905i | 0.0991942i | ||||||||
\(341\) | 3.06579 | + | 7.19781i | 0.166022 | + | 0.389783i | ||||
\(342\) | −13.9408 | − | 3.70133i | −0.753830 | − | 0.200145i | ||||
\(343\) | 0.587785 | − | 0.809017i | 0.0317374 | − | 0.0436828i | ||||
\(344\) | 9.35104 | + | 3.03834i | 0.504174 | + | 0.163816i | ||||
\(345\) | −5.47116 | + | 7.98008i | −0.294557 | + | 0.429633i | ||||
\(346\) | −9.52685 | + | 6.92166i | −0.512167 | + | 0.372111i | ||||
\(347\) | −4.45340 | + | 3.23559i | −0.239071 | + | 0.173695i | −0.700869 | − | 0.713290i | \(-0.747204\pi\) |
0.461798 | + | 0.886985i | \(0.347204\pi\) | |||||||
\(348\) | −5.33938 | + | 7.78787i | −0.286221 | + | 0.417474i | ||||
\(349\) | −35.1204 | − | 11.4113i | −1.87995 | − | 0.610834i | −0.987009 | − | 0.160666i | \(-0.948636\pi\) |
−0.892944 | − | 0.450168i | \(-0.851364\pi\) | |||||||
\(350\) | −2.38301 | + | 3.27993i | −0.127377 | + | 0.175320i | ||||
\(351\) | −5.97076 | − | 14.2762i | −0.318696 | − | 0.762008i | ||||
\(352\) | −2.84501 | − | 1.70468i | −0.151640 | − | 0.0908595i | ||||
\(353\) | 0.564426i | 0.0300414i | 0.999887 | + | 0.0150207i | \(0.00478141\pi\) | ||||
−0.999887 | + | 0.0150207i | \(0.995219\pi\) | |||||||
\(354\) | −9.12005 | + | 0.249234i | −0.484725 | + | 0.0132466i | ||||
\(355\) | 4.28192 | − | 13.1784i | 0.227261 | − | 0.699437i | ||||
\(356\) | −12.1050 | + | 3.93316i | −0.641564 | + | 0.208457i | ||||
\(357\) | −0.921627 | + | 3.12445i | −0.0487777 | + | 0.165363i | ||||
\(358\) | 11.0178 | + | 15.1647i | 0.582309 | + | 0.801479i | ||||
\(359\) | −6.52838 | − | 20.0923i | −0.344555 | − | 1.06043i | −0.961822 | − | 0.273677i | \(-0.911760\pi\) |
0.617267 | − | 0.786754i | \(-0.288240\pi\) | |||||||
\(360\) | −1.58342 | + | 2.45048i | −0.0834534 | + | 0.129152i | ||||
\(361\) | 3.32997 | + | 2.41937i | 0.175262 | + | 0.127335i | ||||
\(362\) | −12.1580 | −0.639011 | ||||||||
\(363\) | 14.0934 | + | 12.8209i | 0.739713 | + | 0.672923i | ||||
\(364\) | 2.97807 | 0.156093 | ||||||||
\(365\) | 8.19329 | + | 5.95277i | 0.428856 | + | 0.311582i | ||||
\(366\) | 4.69636 | + | 13.2142i | 0.245483 | + | 0.690716i | ||||
\(367\) | −5.62716 | − | 17.3186i | −0.293735 | − | 0.904024i | −0.983643 | − | 0.180127i | \(-0.942349\pi\) |
0.689908 | − | 0.723897i | \(-0.257651\pi\) | |||||||
\(368\) | 3.37626 | + | 4.64702i | 0.176000 | + | 0.242243i | ||||
\(369\) | 3.03647 | + | 7.85662i | 0.158072 | + | 0.408999i | ||||
\(370\) | −1.34566 | + | 0.437231i | −0.0699574 | + | 0.0227305i | ||||
\(371\) | 2.39193 | − | 7.36161i | 0.124183 | − | 0.382196i | ||||
\(372\) | −0.111613 | − | 4.08418i | −0.00578686 | − | 0.211755i | ||||
\(373\) | − | 8.51547i | − | 0.440915i | −0.975397 | − | 0.220457i | \(-0.929245\pi\) | ||
0.975397 | − | 0.220457i | \(-0.0707550\pi\) | |||||||
\(374\) | −5.35073 | − | 3.20606i | −0.276680 | − | 0.165781i | ||||
\(375\) | −12.0891 | + | 9.29822i | −0.624277 | + | 0.480158i | ||||
\(376\) | −1.92098 | + | 2.64400i | −0.0990671 | + | 0.136354i | ||||
\(377\) | 15.4407 | + | 5.01697i | 0.795234 | + | 0.258387i | ||||
\(378\) | −3.93961 | + | 3.38814i | −0.202632 | + | 0.174267i | ||||
\(379\) | −26.4909 | + | 19.2468i | −1.36075 | + | 0.988639i | −0.362348 | + | 0.932043i | \(0.618025\pi\) |
−0.998397 | + | 0.0565968i | \(0.981975\pi\) | |||||||
\(380\) | 3.78278 | − | 2.74835i | 0.194052 | − | 0.140987i | ||||
\(381\) | 12.5573 | + | 8.60933i | 0.643332 | + | 0.441069i | ||||
\(382\) | 21.9501 | + | 7.13201i | 1.12306 | + | 0.364906i | ||||
\(383\) | −1.64084 | + | 2.25843i | −0.0838433 | + | 0.115400i | −0.848878 | − | 0.528588i | \(-0.822722\pi\) |
0.765035 | + | 0.643989i | \(0.222722\pi\) | |||||||
\(384\) | 1.05597 | + | 1.37292i | 0.0538874 | + | 0.0700617i | ||||
\(385\) | 1.26396 | + | 2.96750i | 0.0644172 | + | 0.151238i | ||||
\(386\) | − | 25.4631i | − | 1.29604i | ||||||
\(387\) | 18.6152 | + | 22.8809i | 0.946264 | + | 1.16310i | ||||
\(388\) | −4.42698 | + | 13.6248i | −0.224746 | + | 0.691697i | ||||
\(389\) | 7.82929 | − | 2.54389i | 0.396961 | − | 0.128980i | −0.103732 | − | 0.994605i | \(-0.533079\pi\) |
0.500693 | + | 0.865625i | \(0.333079\pi\) | |||||||
\(390\) | 4.81144 | + | 1.41924i | 0.243637 | + | 0.0718661i | ||||
\(391\) | 6.34988 | + | 8.73985i | 0.321127 | + | 0.441993i | ||||
\(392\) | −0.309017 | − | 0.951057i | −0.0156077 | − | 0.0480356i | ||||
\(393\) | 2.55597 | − | 0.908402i | 0.128932 | − | 0.0458228i | ||||
\(394\) | −18.9422 | − | 13.7623i | −0.954295 | − | 0.693336i | ||||
\(395\) | 0.256350 | 0.0128984 | ||||||||
\(396\) | −4.39317 | − | 8.92749i | −0.220765 | − | 0.448623i | ||||
\(397\) | −18.8508 | −0.946093 | −0.473047 | − | 0.881037i | \(-0.656846\pi\) | ||||
−0.473047 | + | 0.881037i | \(0.656846\pi\) | |||||||
\(398\) | 10.3565 | + | 7.52447i | 0.519126 | + | 0.377167i | ||||
\(399\) | 7.84672 | − | 2.78875i | 0.392828 | − | 0.139612i | ||||
\(400\) | 1.25282 | + | 3.85579i | 0.0626411 | + | 0.192789i | ||||
\(401\) | −2.44020 | − | 3.35865i | −0.121858 | − | 0.167723i | 0.743730 | − | 0.668480i | \(-0.233055\pi\) |
−0.865588 | + | 0.500757i | \(0.833055\pi\) | |||||||
\(402\) | 16.8854 | + | 4.98073i | 0.842167 | + | 0.248416i | ||||
\(403\) | −6.68110 | + | 2.17082i | −0.332809 | + | 0.108136i | ||||
\(404\) | −4.88707 | + | 15.0409i | −0.243141 | + | 0.748311i | ||||
\(405\) | −7.97959 | + | 3.59648i | −0.396509 | + | 0.178711i | ||||
\(406\) | − | 5.45160i | − | 0.270559i | ||||||
\(407\) | 1.07966 | − | 4.70301i | 0.0535167 | − | 0.233120i | ||||
\(408\) | 1.98602 | + | 2.58212i | 0.0983224 | + | 0.127834i | ||||
\(409\) | 20.1812 | − | 27.7771i | 0.997898 | − | 1.37349i | 0.0712923 | − | 0.997455i | \(-0.477288\pi\) |
0.926606 | − | 0.376034i | \(-0.122712\pi\) | |||||||
\(410\) | −2.59685 | − | 0.843768i | −0.128249 | − | 0.0416707i | ||||
\(411\) | 24.8161 | + | 17.0140i | 1.22409 | + | 0.839238i | ||||
\(412\) | −1.74422 | + | 1.26725i | −0.0859314 | + | 0.0624328i | ||||
\(413\) | 4.26144 | − | 3.09612i | 0.209692 | − | 0.152350i | ||||
\(414\) | 0.941139 | + | 17.2064i | 0.0462545 | + | 0.845647i | ||||
\(415\) | −0.198692 | − | 0.0645589i | −0.00975340 | − | 0.00316907i | ||||
\(416\) | 1.75047 | − | 2.40931i | 0.0858237 | − | 0.118126i | ||||
\(417\) | −12.3526 | + | 9.50089i | −0.604909 | + | 0.465261i | ||||
\(418\) | 1.40941 | + | 15.8837i | 0.0689366 | + | 0.776895i | ||||
\(419\) | − | 0.598936i | − | 0.0292600i | −0.999893 | − | 0.0146300i | \(-0.995343\pi\) | ||
0.999893 | − | 0.0146300i | \(-0.00465703\pi\) | |||||||
\(420\) | −0.0460155 | − | 1.68382i | −0.00224533 | − | 0.0821618i | ||||
\(421\) | 1.25346 | − | 3.85777i | 0.0610901 | − | 0.188016i | −0.915854 | − | 0.401512i | \(-0.868485\pi\) |
0.976944 | + | 0.213496i | \(0.0684849\pi\) | |||||||
\(422\) | 1.36475 | − | 0.443433i | 0.0664348 | − | 0.0215860i | ||||
\(423\) | −9.14525 | + | 3.53451i | −0.444657 | + | 0.171854i | ||||
\(424\) | −4.54972 | − | 6.26216i | −0.220954 | − | 0.304117i | ||||
\(425\) | 2.35624 | + | 7.25175i | 0.114294 | + | 0.351762i | ||||
\(426\) | −8.26444 | − | 23.2537i | −0.400413 | − | 1.12664i | ||||
\(427\) | −6.55038 | − | 4.75913i | −0.316995 | − | 0.230310i | ||||
\(428\) | −8.05649 | −0.389425 | ||||||||
\(429\) | −12.5856 | + | 11.5878i | −0.607640 | + | 0.559462i | ||||
\(430\) | −9.56201 | −0.461121 | ||||||||
\(431\) | 5.78469 | + | 4.20282i | 0.278639 | + | 0.202443i | 0.718323 | − | 0.695709i | \(-0.244910\pi\) |
−0.439685 | + | 0.898152i | \(0.644910\pi\) | |||||||
\(432\) | 0.425421 | + | 5.17871i | 0.0204681 | + | 0.249161i | ||||
\(433\) | 7.93482 | + | 24.4209i | 0.381323 | + | 1.17359i | 0.939113 | + | 0.343610i | \(0.111650\pi\) |
−0.557789 | + | 0.829982i | \(0.688350\pi\) | |||||||
\(434\) | 1.38652 | + | 1.90838i | 0.0665549 | + | 0.0916050i | ||||
\(435\) | 2.59804 | − | 8.80774i | 0.124566 | − | 0.422299i | ||||
\(436\) | −10.0397 | + | 3.26210i | −0.480815 | + | 0.156226i | ||||
\(437\) | 8.53407 | − | 26.2652i | 0.408240 | − | 1.25643i | ||||
\(438\) | 18.0303 | − | 0.492735i | 0.861521 | − | 0.0235438i | ||||
\(439\) | − | 27.3235i | − | 1.30408i | −0.758185 | − | 0.652040i | \(-0.773914\pi\) | ||
0.758185 | − | 0.652040i | \(-0.226086\pi\) | |||||||
\(440\) | 3.14369 | + | 0.721689i | 0.149870 | + | 0.0344052i | ||||
\(441\) | 0.769840 | − | 2.89954i | 0.0366591 | − | 0.138073i | ||||
\(442\) | 3.29218 | − | 4.53130i | 0.156593 | − | 0.215532i | ||||
\(443\) | 13.2882 | + | 4.31760i | 0.631342 | + | 0.205136i | 0.607170 | − | 0.794572i | \(-0.292305\pi\) |
0.0241727 | + | 0.999708i | \(0.492305\pi\) | |||||||
\(444\) | −1.42495 | + | 2.07839i | −0.0676250 | + | 0.0986360i | ||||
\(445\) | 10.0141 | − | 7.27568i | 0.474714 | − | 0.344900i | ||||
\(446\) | −15.4953 | + | 11.2580i | −0.733726 | + | 0.533083i | ||||
\(447\) | −6.30146 | + | 9.19113i | −0.298049 | + | 0.434726i | ||||
\(448\) | −0.951057 | − | 0.309017i | −0.0449332 | − | 0.0145997i | ||||
\(449\) | −14.8971 | + | 20.5042i | −0.703040 | + | 0.967651i | 0.296879 | + | 0.954915i | \(0.404054\pi\) |
−0.999919 | + | 0.0127361i | \(0.995946\pi\) | |||||||
\(450\) | −3.12110 | + | 11.7554i | −0.147130 | + | 0.554154i | ||||
\(451\) | 7.02027 | − | 6.11787i | 0.330572 | − | 0.288079i | ||||
\(452\) | 3.56123i | 0.167506i | ||||||||
\(453\) | 1.20607 | − | 0.0329597i | 0.0566662 | − | 0.00154858i | ||||
\(454\) | −3.49450 | + | 10.7550i | −0.164005 | + | 0.504755i | ||||
\(455\) | −2.75447 | + | 0.894980i | −0.129131 | + | 0.0419573i | ||||
\(456\) | 2.35604 | − | 7.98732i | 0.110332 | − | 0.374041i | ||||
\(457\) | 8.77107 | + | 12.0723i | 0.410293 | + | 0.564720i | 0.963290 | − | 0.268463i | \(-0.0865158\pi\) |
−0.552997 | + | 0.833183i | \(0.686516\pi\) | |||||||
\(458\) | 7.61392 | + | 23.4332i | 0.355775 | + | 1.09496i | ||||
\(459\) | 0.800107 | + | 9.73982i | 0.0373458 | + | 0.454616i | ||||
\(460\) | −4.51929 | − | 3.28346i | −0.210713 | − | 0.153092i | ||||
\(461\) | 22.0432 | 1.02665 | 0.513327 | − | 0.858193i | \(-0.328413\pi\) | ||||
0.513327 | + | 0.858193i | \(0.328413\pi\) | |||||||
\(462\) | 5.00652 | + | 2.81687i | 0.232924 | + | 0.131053i | ||||
\(463\) | 5.72895 | 0.266247 | 0.133123 | − | 0.991099i | \(-0.457499\pi\) | ||||
0.133123 | + | 0.991099i | \(0.457499\pi\) | |||||||
\(464\) | −4.41044 | − | 3.20437i | −0.204750 | − | 0.148759i | ||||
\(465\) | 1.33062 | + | 3.74398i | 0.0617062 | + | 0.173623i | ||||
\(466\) | −0.606815 | − | 1.86758i | −0.0281101 | − | 0.0865141i | ||||
\(467\) | 20.3914 | + | 28.0664i | 0.943603 | + | 1.29876i | 0.954311 | + | 0.298815i | \(0.0965915\pi\) |
−0.0107079 | + | 0.999943i | \(0.503409\pi\) | |||||||
\(468\) | 8.33348 | − | 3.22077i | 0.385215 | − | 0.148880i | ||||
\(469\) | −9.66659 | + | 3.14087i | −0.446362 | + | 0.145032i | ||||
\(470\) | 0.982162 | − | 3.02278i | 0.0453037 | − | 0.139431i | ||||
\(471\) | −0.966993 | − | 35.3845i | −0.0445567 | − | 1.63043i | ||||
\(472\) | − | 5.26743i | − | 0.242453i | ||||||
\(473\) | 16.7608 | − | 27.9729i | 0.770663 | − | 1.28619i | ||||
\(474\) | 0.361897 | − | 0.278350i | 0.0166225 | − | 0.0127850i | ||||
\(475\) | 11.4573 | − | 15.7696i | 0.525697 | − | 0.723560i | ||||
\(476\) | −1.78869 | − | 0.581182i | −0.0819846 | − | 0.0266384i | ||||
\(477\) | −1.26825 | − | 23.1867i | −0.0580690 | − | 1.06165i | ||||
\(478\) | −6.53600 | + | 4.74869i | −0.298950 | + | 0.217200i | ||||
\(479\) | −7.83621 | + | 5.69334i | −0.358046 | + | 0.260135i | −0.752237 | − | 0.658893i | \(-0.771025\pi\) |
0.394191 | + | 0.919029i | \(0.371025\pi\) | |||||||
\(480\) | −1.38928 | − | 0.952494i | −0.0634118 | − | 0.0434752i | ||||
\(481\) | 4.12073 | + | 1.33890i | 0.187889 | + | 0.0610488i | ||||
\(482\) | −2.14005 | + | 2.94552i | −0.0974765 | + | 0.134165i | ||||
\(483\) | −6.06555 | − | 7.88612i | −0.275992 | − | 0.358831i | ||||
\(484\) | −7.62167 | + | 7.93159i | −0.346440 | + | 0.360527i | ||||
\(485\) | − | 13.9322i | − | 0.632631i | ||||||
\(486\) | −7.35987 | + | 13.7416i | −0.333850 | + | 0.623333i | ||||
\(487\) | −9.52955 | + | 29.3289i | −0.431825 | + | 1.32902i | 0.464480 | + | 0.885583i | \(0.346241\pi\) |
−0.896305 | + | 0.443437i | \(0.853759\pi\) | |||||||
\(488\) | −7.70043 | + | 2.50202i | −0.348582 | + | 0.113261i | ||||
\(489\) | −26.3536 | − | 7.77358i | −1.19175 | − | 0.351534i | ||||
\(490\) | 0.571630 | + | 0.786781i | 0.0258236 | + | 0.0355431i | ||||
\(491\) | −10.4244 | − | 32.0829i | −0.470445 | − | 1.44788i | −0.852003 | − | 0.523536i | \(-0.824612\pi\) |
0.381558 | − | 0.924345i | \(-0.375388\pi\) | |||||||
\(492\) | −4.58222 | + | 1.62854i | −0.206582 | + | 0.0734201i | ||||
\(493\) | −8.29491 | − | 6.02660i | −0.373584 | − | 0.271425i | ||||
\(494\) | −14.3183 | −0.644212 | ||||||||
\(495\) | 6.74623 | + | 6.93692i | 0.303221 | + | 0.311792i | ||||
\(496\) | 2.35888 | 0.105917 | ||||||||
\(497\) | 11.5270 | + | 8.37489i | 0.517059 | + | 0.375665i | ||||
\(498\) | −0.350598 | + | 0.124604i | −0.0157107 | + | 0.00558363i | ||||
\(499\) | −4.39774 | − | 13.5348i | −0.196870 | − | 0.605903i | −0.999950 | − | 0.0100316i | \(-0.996807\pi\) |
0.803080 | − | 0.595871i | \(-0.203193\pi\) | |||||||
\(500\) | −5.17566 | − | 7.12368i | −0.231462 | − | 0.318581i | ||||
\(501\) | −17.5177 | − | 5.16722i | −0.782631 | − | 0.230855i | ||||
\(502\) | −10.3756 | + | 3.37123i | −0.463084 | + | 0.150465i | ||||
\(503\) | 4.58119 | − | 14.0994i | 0.204265 | − | 0.628663i | −0.795478 | − | 0.605983i | \(-0.792780\pi\) |
0.999743 | − | 0.0226804i | \(-0.00722002\pi\) | |||||||
\(504\) | −1.89328 | − | 2.32712i | −0.0843333 | − | 0.103658i | ||||
\(505\) | − | 15.3802i | − | 0.684411i | ||||||
\(506\) | 17.5271 | − | 7.46540i | 0.779177 | − | 0.331877i | ||||
\(507\) | 4.36232 | + | 5.67167i | 0.193738 | + | 0.251888i | ||||
\(508\) | −5.16680 | + | 7.11149i | −0.229240 | + | 0.315521i | ||||
\(509\) | 17.5540 | + | 5.70365i | 0.778069 | + | 0.252810i | 0.671016 | − | 0.741443i | \(-0.265858\pi\) |
0.107054 | + | 0.994253i | \(0.465858\pi\) | |||||||
\(510\) | −2.61288 | − | 1.79140i | −0.115700 | − | 0.0793244i | ||||
\(511\) | −8.42485 | + | 6.12101i | −0.372693 | + | 0.270778i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 18.9413 | − | 16.2899i | 0.836279 | − | 0.719217i | ||||
\(514\) | −19.2897 | − | 6.26761i | −0.850833 | − | 0.276453i | ||||
\(515\) | 1.23242 | − | 1.69628i | 0.0543067 | − | 0.0747468i | ||||
\(516\) | −13.4989 | + | 10.3826i | −0.594258 | + | 0.457069i | ||||
\(517\) | 7.12132 | + | 8.17173i | 0.313195 | + | 0.359392i | ||||
\(518\) | − | 1.45490i | − | 0.0639245i | ||||||
\(519\) | −0.557186 | − | 20.3887i | −0.0244577 | − | 0.894966i | ||||
\(520\) | −0.894980 | + | 2.75447i | −0.0392475 | + | 0.120791i | ||||
\(521\) | 25.9604 | − | 8.43505i | 1.13735 | − | 0.369546i | 0.320983 | − | 0.947085i | \(-0.395987\pi\) |
0.816363 | + | 0.577539i | \(0.195987\pi\) | |||||||
\(522\) | −5.89588 | − | 15.2551i | −0.258056 | − | 0.667698i | ||||
\(523\) | 7.89806 | + | 10.8708i | 0.345358 | + | 0.475345i | 0.945997 | − | 0.324176i | \(-0.105087\pi\) |
−0.600639 | + | 0.799521i | \(0.705087\pi\) | |||||||
\(524\) | 0.483957 | + | 1.48947i | 0.0211418 | + | 0.0650677i | ||||
\(525\) | −2.35158 | − | 6.61665i | −0.102631 | − | 0.288774i | ||||
\(526\) | −0.769069 | − | 0.558761i | −0.0335330 | − | 0.0243631i | ||||
\(527\) | 4.43645 | 0.193255 | ||||||||
\(528\) | 5.22165 | − | 2.39465i | 0.227243 | − | 0.104214i | ||||
\(529\) | −9.99391 | −0.434518 | ||||||||
\(530\) | 6.09004 | + | 4.42467i | 0.264534 | + | 0.192195i | ||||
\(531\) | 8.57627 | − | 13.2725i | 0.372178 | − | 0.575979i | ||||
\(532\) | 1.48573 | + | 4.57260i | 0.0644145 | + | 0.198247i | ||||
\(533\) | 4.91471 | + | 6.76452i | 0.212880 | + | 0.293004i | ||||
\(534\) | 6.23712 | − | 21.1448i | 0.269907 | − | 0.915024i | ||||
\(535\) | 7.45157 | − | 2.42116i | 0.322160 | − | 0.104676i | ||||
\(536\) | −3.14087 | + | 9.66659i | −0.135665 | + | 0.417533i | ||||
\(537\) | −32.4545 | + | 0.886921i | −1.40051 | + | 0.0382734i | ||||
\(538\) | − | 5.65627i | − | 0.243859i | ||||||
\(539\) | −3.30364 | + | 0.293144i | −0.142298 | + | 0.0126266i | ||||
\(540\) | −1.94980 | − | 4.66202i | −0.0839061 | − | 0.200621i | ||||
\(541\) | −11.8121 | + | 16.2580i | −0.507842 | + | 0.698984i | −0.983553 | − | 0.180617i | \(-0.942191\pi\) |
0.475712 | + | 0.879601i | \(0.342191\pi\) | |||||||
\(542\) | −5.61372 | − | 1.82401i | −0.241130 | − | 0.0783478i | ||||
\(543\) | 11.9077 | − | 17.3683i | 0.511009 | − | 0.745344i | ||||
\(544\) | −1.52155 | + | 1.10547i | −0.0652361 | + | 0.0473968i | ||||
\(545\) | 8.30555 | − | 6.03433i | 0.355771 | − | 0.258482i | ||||
\(546\) | −2.91677 | + | 4.25432i | −0.124826 | + | 0.182068i | ||||
\(547\) | 9.63257 | + | 3.12981i | 0.411859 | + | 0.133821i | 0.507616 | − | 0.861584i | \(-0.330527\pi\) |
−0.0957566 | + | 0.995405i | \(0.530527\pi\) | |||||||
\(548\) | −10.2108 | + | 14.0539i | −0.436182 | + | 0.600353i | ||||
\(549\) | −23.4768 | − | 6.23317i | −1.00196 | − | 0.266025i | ||||
\(550\) | 13.3937 | − | 1.18847i | 0.571109 | − | 0.0506765i | ||||
\(551\) | 26.2109i | 1.11662i | ||||||||
\(552\) | −9.94524 | + | 0.271785i | −0.423298 | + | 0.0115679i | ||||
\(553\) | −0.0814555 | + | 0.250694i | −0.00346384 | + | 0.0106606i | ||||
\(554\) | −22.2621 | + | 7.23339i | −0.945826 | + | 0.307317i | ||||
\(555\) | 0.693352 | − | 2.35057i | 0.0294311 | − | 0.0997760i | ||||
\(556\) | −5.28847 | − | 7.27895i | −0.224281 | − | 0.308696i | ||||
\(557\) | −7.52865 | − | 23.1708i | −0.318999 | − | 0.981779i | −0.974077 | − | 0.226217i | \(-0.927364\pi\) |
0.655078 | − | 0.755561i | \(-0.272636\pi\) | |||||||
\(558\) | 5.94376 | + | 3.84066i | 0.251619 | + | 0.162588i | ||||
\(559\) | 23.6890 | + | 17.2110i | 1.00194 | + | 0.727950i | ||||
\(560\) | 0.972514 | 0.0410962 | ||||||||
\(561\) | 9.82059 | − | 4.50372i | 0.414626 | − | 0.190147i | ||||
\(562\) | 23.7950 | 1.00373 | ||||||||
\(563\) | −21.6404 | − | 15.7227i | −0.912033 | − | 0.662631i | 0.0294953 | − | 0.999565i | \(-0.490610\pi\) |
−0.941528 | + | 0.336934i | \(0.890610\pi\) | |||||||
\(564\) | −1.89565 | − | 5.33379i | −0.0798212 | − | 0.224593i | ||||
\(565\) | −1.07023 | − | 3.29384i | −0.0450250 | − | 0.138573i | ||||
\(566\) | 17.9919 | + | 24.7638i | 0.756258 | + | 1.04090i | ||||
\(567\) | −0.981611 | − | 8.94631i | −0.0412238 | − | 0.375710i | ||||
\(568\) | 13.5509 | − | 4.40294i | 0.568581 | − | 0.184743i | ||||
\(569\) | −9.23245 | + | 28.4146i | −0.387045 | + | 1.19120i | 0.547942 | + | 0.836517i | \(0.315412\pi\) |
−0.934986 | + | 0.354684i | \(0.884588\pi\) | |||||||
\(570\) | 0.221239 | + | 8.09565i | 0.00926668 | + | 0.339089i | ||||
\(571\) | 22.1228i | 0.925812i | 0.886407 | + | 0.462906i | \(0.153193\pi\) | ||||
−0.886407 | + | 0.462906i | \(0.846807\pi\) | |||||||
\(572\) | −6.48919 | − | 7.44637i | −0.271327 | − | 0.311348i | ||||
\(573\) | −31.6866 | + | 24.3715i | −1.32373 | + | 1.01814i | ||||
\(574\) | 1.65030 | − | 2.27144i | 0.0688822 | − | 0.0948083i | ||||
\(575\) | −22.1478 | − | 7.19625i | −0.923626 | − | 0.300104i | ||||
\(576\) | −2.99552 | + | 0.163846i | −0.124813 | + | 0.00682693i | ||||
\(577\) | −6.14231 | + | 4.46265i | −0.255708 | + | 0.185783i | −0.708253 | − | 0.705959i | \(-0.750516\pi\) |
0.452545 | + | 0.891742i | \(0.350516\pi\) | |||||||
\(578\) | 10.8916 | − | 7.91324i | 0.453032 | − | 0.329147i | ||||
\(579\) | 36.3753 | + | 24.9390i | 1.51171 | + | 1.03643i | ||||
\(580\) | 5.04228 | + | 1.63833i | 0.209369 | + | 0.0680281i | ||||
\(581\) | 0.126269 | − | 0.173794i | 0.00523852 | − | 0.00721020i | ||||
\(582\) | −15.1279 | − | 19.6685i | −0.627071 | − | 0.815286i | ||||
\(583\) | −23.6190 | + | 10.0601i | −0.978197 | + | 0.416647i | ||||
\(584\) | 10.4137i | 0.430921i | ||||||||
\(585\) | −6.73985 | + | 5.48334i | −0.278658 | + | 0.226708i | ||||
\(586\) | −6.45315 | + | 19.8607i | −0.266577 | + | 0.820440i | ||||
\(587\) | −14.2370 | + | 4.62589i | −0.587625 | + | 0.190931i | −0.587714 | − | 0.809069i | \(-0.699972\pi\) |
8.86304e−5 | 1.00000i | \(0.499972\pi\) | ||||||||
\(588\) | 1.66128 | + | 0.490033i | 0.0685102 | + | 0.0202086i | ||||
\(589\) | −6.66626 | − | 9.17531i | −0.274678 | − | 0.378062i | ||||
\(590\) | 1.58299 | + | 4.87193i | 0.0651705 | + | 0.200574i | ||||
\(591\) | 38.2124 | − | 13.5808i | 1.57185 | − | 0.558640i | ||||
\(592\) | −1.17704 | − | 0.855167i | −0.0483759 | − | 0.0351472i | ||||
\(593\) | −4.30516 | −0.176792 | −0.0883958 | − | 0.996085i | \(-0.528174\pi\) | ||||
−0.0883958 | + | 0.996085i | \(0.528174\pi\) | |||||||
\(594\) | 17.0561 | + | 2.46786i | 0.699819 | + | 0.101257i | ||||
\(595\) | 1.82905 | 0.0749837 | ||||||||
\(596\) | −5.20514 | − | 3.78175i | −0.213211 | − | 0.154907i | ||||
\(597\) | −20.8924 | + | 7.42524i | −0.855069 | + | 0.303895i | ||||
\(598\) | 5.28609 | + | 16.2689i | 0.216164 | + | 0.665285i | ||||
\(599\) | 17.2040 | + | 23.6792i | 0.702935 | + | 0.967507i | 0.999920 | + | 0.0126246i | \(0.00401864\pi\) |
−0.296986 | + | 0.954882i | \(0.595981\pi\) | |||||||
\(600\) | −6.73521 | − | 1.98670i | −0.274964 | − | 0.0811067i | ||||
\(601\) | −9.83574 | + | 3.19583i | −0.401208 | + | 0.130361i | −0.502669 | − | 0.864479i | \(-0.667648\pi\) |
0.101460 | + | 0.994840i | \(0.467648\pi\) | |||||||
\(602\) | 3.03834 | − | 9.35104i | 0.123833 | − | 0.381120i | ||||
\(603\) | −23.6530 | + | 19.2434i | −0.963225 | + | 0.783651i | ||||
\(604\) | 0.696585i | 0.0283437i | ||||||||
\(605\) | 4.66578 | − | 9.62655i | 0.189691 | − | 0.391375i | ||||
\(606\) | −16.7001 | − | 21.7127i | −0.678396 | − | 0.882016i | ||||
\(607\) | −12.1178 | + | 16.6787i | −0.491846 | + | 0.676968i | −0.980727 | − | 0.195382i | \(-0.937405\pi\) |
0.488881 | + | 0.872351i | \(0.337405\pi\) | |||||||
\(608\) | 4.57260 | + | 1.48573i | 0.185443 | + | 0.0602542i | ||||
\(609\) | 7.78787 | + | 5.33938i | 0.315581 | + | 0.216363i | ||||
\(610\) | 6.37033 | − | 4.62832i | 0.257927 | − | 0.187395i | ||||
\(611\) | −7.87403 | + | 5.72082i | −0.318549 | + | 0.231440i | ||||
\(612\) | −5.63381 | + | 0.308153i | −0.227733 | + | 0.0124564i | ||||
\(613\) | 24.7946 | + | 8.05625i | 1.00144 | + | 0.325389i | 0.763442 | − | 0.645876i | \(-0.223508\pi\) |
0.238001 | + | 0.971265i | \(0.423508\pi\) | |||||||
\(614\) | 19.5860 | − | 26.9578i | 0.790425 | − | 1.08793i | ||||
\(615\) | 3.74875 | − | 2.88332i | 0.151164 | − | 0.116267i | ||||
\(616\) | −1.70468 | + | 2.84501i | −0.0686833 | + | 0.114629i | ||||
\(617\) | 1.92818i | 0.0776258i | 0.999246 | + | 0.0388129i | \(0.0123576\pi\) | ||||
−0.999246 | + | 0.0388129i | \(0.987642\pi\) | |||||||
\(618\) | −0.102012 | − | 3.73286i | −0.00410352 | − | 0.150157i | ||||
\(619\) | 13.8297 | − | 42.5635i | 0.555863 | − | 1.71077i | −0.137791 | − | 0.990461i | \(-0.544000\pi\) |
0.693654 | − | 0.720308i | \(-0.256000\pi\) | |||||||
\(620\) | −2.18177 | + | 0.708899i | −0.0876219 | + | 0.0284701i | ||||
\(621\) | −25.5019 | − | 15.5077i | −1.02336 | − | 0.622303i | ||||
\(622\) | 1.27023 | + | 1.74833i | 0.0509317 | + | 0.0701015i | ||||
\(623\) | 3.93316 | + | 12.1050i | 0.157579 | + | 0.484977i | ||||
\(624\) | 1.72738 | + | 4.86034i | 0.0691506 | + | 0.194569i | ||||
\(625\) | −9.47177 | − | 6.88164i | −0.378871 | − | 0.275266i | ||||
\(626\) | −8.05831 | −0.322075 | ||||||||
\(627\) | −24.0709 | − | 13.5433i | −0.961301 | − | 0.540866i | ||||
\(628\) | 20.4369 | 0.815521 | ||||||||
\(629\) | −2.21370 | − | 1.60835i | −0.0882662 | − | 0.0641291i | ||||
\(630\) | 2.45048 | + | 1.58342i | 0.0976294 | + | 0.0630849i | ||||
\(631\) | 10.9596 | + | 33.7302i | 0.436295 | + | 1.34278i | 0.891754 | + | 0.452521i | \(0.149475\pi\) |
−0.455459 | + | 0.890257i | \(0.650525\pi\) | |||||||
\(632\) | 0.154938 | + | 0.213253i | 0.00616309 | + | 0.00848276i | ||||
\(633\) | −0.703187 | + | 2.38391i | −0.0279492 | + | 0.0947518i | ||||
\(634\) | 11.3607 | − | 3.69131i | 0.451190 | − | 0.146601i | ||||
\(635\) | 2.64169 | − | 8.13027i | 0.104832 | − | 0.322640i | ||||
\(636\) | 13.4019 | − | 0.366248i | 0.531418 | − | 0.0145227i | ||||
\(637\) | − | 2.97807i | − | 0.117995i | ||||||
\(638\) | −13.6312 | + | 11.8790i | −0.539664 | + | 0.470294i | ||||
\(639\) | 41.3133 | + | 10.9688i | 1.63433 | + | 0.433921i | ||||
\(640\) | 0.571630 | − | 0.786781i | 0.0225956 | − | 0.0311002i | ||||
\(641\) | −34.3124 | − | 11.1488i | −1.35526 | − | 0.440350i | −0.460800 | − | 0.887504i | \(-0.652438\pi\) |
−0.894457 | + | 0.447154i | \(0.852438\pi\) | |||||||
\(642\) | 7.89064 | − | 11.5091i | 0.311419 | − | 0.454227i | ||||
\(643\) | 2.07919 | − | 1.51062i | 0.0819954 | − | 0.0595731i | −0.546032 | − | 0.837764i | \(-0.683862\pi\) |
0.628028 | + | 0.778191i | \(0.283862\pi\) | |||||||
\(644\) | 4.64702 | − | 3.37626i | 0.183118 | − | 0.133043i | ||||
\(645\) | 9.36518 | − | 13.6598i | 0.368753 | − | 0.537854i | ||||
\(646\) | 8.59989 | + | 2.79427i | 0.338358 | + | 0.109939i | ||||
\(647\) | −4.18832 | + | 5.76473i | −0.164660 | + | 0.226635i | −0.883372 | − | 0.468673i | \(-0.844732\pi\) |
0.718712 | + | 0.695308i | \(0.244732\pi\) | |||||||
\(648\) | −7.81469 | − | 4.46437i | −0.306990 | − | 0.175377i | ||||
\(649\) | −17.0272 | − | 3.90888i | −0.668375 | − | 0.153437i | ||||
\(650\) | 12.0737i | 0.473571i | ||||||||
\(651\) | −4.08418 | + | 0.111613i | −0.160072 | + | 0.00437446i | ||||
\(652\) | 4.90205 | − | 15.0870i | 0.191979 | − | 0.590851i | ||||
\(653\) | 31.9028 | − | 10.3658i | 1.24845 | − | 0.405647i | 0.391086 | − | 0.920354i | \(-0.372099\pi\) |
0.857366 | + | 0.514707i | \(0.172099\pi\) | |||||||
\(654\) | 5.17297 | − | 17.5371i | 0.202279 | − | 0.685756i | ||||
\(655\) | −0.895240 | − | 1.23219i | −0.0349799 | − | 0.0481457i | ||||
\(656\) | −0.867615 | − | 2.67024i | −0.0338747 | − | 0.104255i | ||||
\(657\) | −16.9552 | + | 26.2397i | −0.661487 | + | 1.02371i | ||||
\(658\) | 2.64400 | + | 1.92098i | 0.103074 | + | 0.0748877i | ||||
\(659\) | −8.50928 | −0.331474 | −0.165737 | − | 0.986170i | \(-0.553000\pi\) | ||||
−0.165737 | + | 0.986170i | \(0.553000\pi\) | |||||||
\(660\) | −4.10994 | + | 3.78408i | −0.159979 | + | 0.147295i | ||||
\(661\) | 11.6341 | 0.452514 | 0.226257 | − | 0.974068i | \(-0.427351\pi\) | ||||
0.226257 | + | 0.974068i | \(0.427351\pi\) | |||||||
\(662\) | −6.95175 | − | 5.05074i | −0.270187 | − | 0.196303i | ||||
\(663\) | 3.24876 | + | 9.14105i | 0.126171 | + | 0.355009i | ||||
\(664\) | −0.0663835 | − | 0.204307i | −0.00257618 | − | 0.00792867i | ||||
\(665\) | −2.74835 | − | 3.78278i | −0.106576 | − | 0.146690i | ||||
\(666\) | −1.57346 | − | 4.07121i | −0.0609705 | − | 0.157756i | ||||
\(667\) | 29.7816 | − | 9.67662i | 1.15315 | − | 0.374680i | ||||
\(668\) | 3.25847 | − | 10.0286i | 0.126074 | − | 0.388016i | ||||
\(669\) | −0.906258 | − | 33.1621i | −0.0350380 | − | 1.28212i | ||||
\(670\) | − | 9.88469i | − | 0.381879i | ||||||
\(671\) | 2.37350 | + | 26.7486i | 0.0916280 | + | 1.03262i | ||||
\(672\) | 1.37292 | − | 1.05597i | 0.0529617 | − | 0.0407351i | ||||
\(673\) | 14.6111 | − | 20.1104i | 0.563215 | − | 0.775199i | −0.428516 | − | 0.903534i | \(-0.640963\pi\) |
0.991731 | + | 0.128335i | \(0.0409633\pi\) | |||||||
\(674\) | −22.0974 | − | 7.17988i | −0.851159 | − | 0.276558i | ||||
\(675\) | −13.7363 | − | 15.9720i | −0.528709 | − | 0.614763i | ||||
\(676\) | −3.34212 | + | 2.42819i | −0.128543 | + | 0.0933921i | ||||
\(677\) | −8.59162 | + | 6.24218i | −0.330203 | + | 0.239906i | −0.740517 | − | 0.672038i | \(-0.765419\pi\) |
0.410314 | + | 0.911944i | \(0.365419\pi\) | |||||||
\(678\) | −5.08738 | − | 3.48792i | −0.195380 | − | 0.133953i | ||||
\(679\) | 13.6248 | + | 4.42698i | 0.522874 | + | 0.169892i | ||||
\(680\) | 1.07509 | − | 1.47973i | 0.0412278 | − | 0.0567451i | ||||
\(681\) | −11.9414 | − | 15.5256i | −0.457596 | − | 0.594943i | ||||
\(682\) | 1.75049 | − | 7.62518i | 0.0670299 | − | 0.291983i | ||||
\(683\) | − | 51.5386i | − | 1.97207i | −0.166540 | − | 0.986035i | \(-0.553260\pi\) | ||
0.166540 | − | 0.986035i | \(-0.446740\pi\) | |||||||
\(684\) | 9.10273 | + | 11.1886i | 0.348051 | + | 0.427807i | ||||
\(685\) | 5.22057 | − | 16.0673i | 0.199468 | − | 0.613898i | ||||
\(686\) | −0.951057 | + | 0.309017i | −0.0363115 | + | 0.0117983i | ||||
\(687\) | −40.9327 | − | 12.0740i | −1.56168 | − | 0.460652i | ||||
\(688\) | −5.77926 | − | 7.95447i | −0.220332 | − | 0.303261i | ||||
\(689\) | −7.12334 | − | 21.9234i | −0.271378 | − | 0.835215i | ||||
\(690\) | 9.11684 | − | 3.24016i | 0.347072 | − | 0.123351i | ||||
\(691\) | 27.6743 | + | 20.1066i | 1.05278 | + | 0.764889i | 0.972739 | − | 0.231902i | \(-0.0744950\pi\) |
0.0800407 | + | 0.996792i | \(0.474495\pi\) | |||||||
\(692\) | 11.7758 | 0.447650 | ||||||||
\(693\) | −8.92749 | + | 4.39317i | −0.339127 | + | 0.166883i | ||||
\(694\) | 5.50471 | 0.208956 | ||||||||
\(695\) | 7.07889 | + | 5.14311i | 0.268517 | + | 0.195089i | ||||
\(696\) | 8.89725 | − | 3.16211i | 0.337249 | − | 0.119860i | ||||
\(697\) | −1.63176 | − | 5.02204i | −0.0618073 | − | 0.190223i | ||||
\(698\) | 21.7056 | + | 29.8752i | 0.821570 | + | 1.13079i | ||||
\(699\) | 3.26225 | + | 0.962275i | 0.123390 | + | 0.0363966i | ||||
\(700\) | 3.85579 | − | 1.25282i | 0.145735 | − | 0.0473522i | ||||
\(701\) | 4.29174 | − | 13.2086i | 0.162097 | − | 0.498882i | −0.836714 | − | 0.547640i | \(-0.815526\pi\) |
0.998811 | + | 0.0487579i | \(0.0155263\pi\) | |||||||
\(702\) | −3.56091 | + | 15.0592i | −0.134398 | + | 0.568374i | ||||
\(703\) | 6.99503i | 0.263822i | ||||||||
\(704\) | 1.29968 | + | 3.05137i | 0.0489835 | + | 0.115003i | ||||
\(705\) | 3.35624 | + | 4.36362i | 0.126403 | + | 0.164343i | ||||
\(706\) | 0.331761 | − | 0.456630i | 0.0124860 | − | 0.0171855i | ||||
\(707\) | 15.0409 | + | 4.88707i | 0.565670 | + | 0.183797i | ||||
\(708\) | 7.52477 | + | 5.15900i | 0.282798 | + | 0.193887i | ||||
\(709\) | −23.0115 | + | 16.7188i | −0.864216 | + | 0.627890i | −0.929029 | − | 0.370008i | \(-0.879355\pi\) |
0.0648128 | + | 0.997897i | \(0.479355\pi\) | |||||||
\(710\) | −11.2102 | + | 8.14470i | −0.420712 | + | 0.305665i | ||||
\(711\) | 0.0431892 | + | 0.789606i | 0.00161972 | + | 0.0296125i | ||||
\(712\) | 12.1050 | + | 3.93316i | 0.453654 | + | 0.147401i | ||||
\(713\) | −7.96419 | + | 10.9618i | −0.298261 | + | 0.410522i | ||||
\(714\) | 2.58212 | − | 1.98602i | 0.0966333 | − | 0.0743248i | ||||
\(715\) | 8.23977 | + | 4.93711i | 0.308150 | + | 0.184637i | ||||
\(716\) | − | 18.7446i | − | 0.700519i | ||||||
\(717\) | −0.382264 | − | 13.9879i | −0.0142759 | − | 0.522389i | ||||
\(718\) | −6.52838 | + | 20.0923i | −0.243637 | + | 0.749838i | ||||
\(719\) | −4.09681 | + | 1.33114i | −0.152785 | + | 0.0496430i | −0.384411 | − | 0.923162i | \(-0.625596\pi\) |
0.231626 | + | 0.972805i | \(0.425596\pi\) | |||||||
\(720\) | 2.72137 | − | 1.05177i | 0.101419 | − | 0.0391971i | ||||
\(721\) | 1.26725 | + | 1.74422i | 0.0471948 | + | 0.0649580i | ||||
\(722\) | −1.27194 | − | 3.91462i | −0.0473366 | − | 0.145687i | ||||
\(723\) | −2.11182 | − | 5.94205i | −0.0785396 | − | 0.220987i | ||||
\(724\) | 9.83603 | + | 7.14630i | 0.365553 | + | 0.265590i | ||||
\(725\) | 22.1020 | 0.820847 | ||||||||
\(726\) | −3.86588 | − | 18.6562i | −0.143476 | − | 0.692398i | ||||
\(727\) | 37.3480 | 1.38516 | 0.692581 | − | 0.721340i | \(-0.256473\pi\) | ||||
0.692581 | + | 0.721340i | \(0.256473\pi\) | |||||||
\(728\) | −2.40931 | − | 1.75047i | −0.0892950 | − | 0.0648766i | ||||
\(729\) | −12.4222 | − | 23.9727i | −0.460082 | − | 0.887877i | ||||
\(730\) | −3.12956 | − | 9.63179i | −0.115830 | − | 0.356488i | ||||
\(731\) | −10.8693 | − | 14.9603i | −0.402016 | − | 0.553327i | ||||
\(732\) | 3.96766 | − | 13.4509i | 0.146649 | − | 0.497161i | ||||
\(733\) | −31.8334 | + | 10.3433i | −1.17579 | + | 0.382038i | −0.830802 | − | 0.556568i | \(-0.812118\pi\) |
−0.344990 | + | 0.938606i | \(0.612118\pi\) | |||||||
\(734\) | −5.62716 | + | 17.3186i | −0.207702 | + | 0.639241i | ||||
\(735\) | −1.68382 | + | 0.0460155i | −0.0621085 | + | 0.00169731i | ||||
\(736\) | − | 5.74403i | − | 0.211728i | ||||||
\(737\) | 28.9168 | + | 17.3264i | 1.06517 | + | 0.638227i | ||||
\(738\) | 2.16145 | − | 8.14093i | 0.0795640 | − | 0.299672i | ||||
\(739\) | −11.8197 | + | 16.2684i | −0.434794 | + | 0.598443i | −0.969045 | − | 0.246883i | \(-0.920594\pi\) |
0.534251 | + | 0.845326i | \(0.320594\pi\) | |||||||
\(740\) | 1.34566 | + | 0.437231i | 0.0494674 | + | 0.0160729i | ||||
\(741\) | 14.0236 | − | 20.4544i | 0.515169 | − | 0.751411i | ||||
\(742\) | −6.26216 | + | 4.54972i | −0.229891 | + | 0.167026i | ||||
\(743\) | 17.0272 | − | 12.3710i | 0.624666 | − | 0.453847i | −0.229882 | − | 0.973218i | \(-0.573834\pi\) |
0.854548 | + | 0.519372i | \(0.173834\pi\) | |||||||
\(744\) | −2.31032 | + | 3.36978i | −0.0847006 | + | 0.123542i | ||||
\(745\) | 5.95082 | + | 1.93354i | 0.218021 | + | 0.0708394i | ||||
\(746\) | −5.00527 | + | 6.88916i | −0.183256 | + | 0.252230i | ||||
\(747\) | 0.165378 | − | 0.622884i | 0.00605088 | − | 0.0227901i | ||||
\(748\) | 2.44436 | + | 5.73884i | 0.0893747 | + | 0.209833i | ||||
\(749\) | 8.05649i | 0.294378i | ||||||||
\(750\) | 15.2456 | − | 0.416635i | 0.556692 | − | 0.0152133i | ||||
\(751\) | 4.23996 | − | 13.0493i | 0.154718 | − | 0.476174i | −0.843414 | − | 0.537264i | \(-0.819458\pi\) |
0.998132 | + | 0.0610901i | \(0.0194577\pi\) | |||||||
\(752\) | 3.10821 | − | 1.00992i | 0.113345 | − | 0.0368280i | ||||
\(753\) | 5.34603 | − | 18.1238i | 0.194820 | − | 0.660469i | ||||
\(754\) | −9.54285 | − | 13.1346i | −0.347530 | − | 0.478334i | ||||
\(755\) | −0.209340 | − | 0.644283i | −0.00761867 | − | 0.0234479i | ||||
\(756\) | 5.17871 | − | 0.425421i | 0.188348 | − | 0.0154724i | ||||
\(757\) | 33.6186 | + | 24.4254i | 1.22189 | + | 0.887755i | 0.996256 | − | 0.0864570i | \(-0.0275545\pi\) |
0.225634 | + | 0.974212i | \(0.427555\pi\) | |||||||
\(758\) | 32.7445 | 1.18934 | ||||||||
\(759\) | −6.50167 | + | 32.3501i | −0.235996 | + | 1.17423i | ||||
\(760\) | −4.67577 | −0.169608 | ||||||||
\(761\) | −39.9070 | − | 28.9941i | −1.44663 | − | 1.05104i | −0.986605 | − | 0.163130i | \(-0.947841\pi\) |
−0.460023 | − | 0.887907i | \(-0.652159\pi\) | |||||||
\(762\) | −5.09866 | − | 14.3461i | −0.184705 | − | 0.519705i | ||||
\(763\) | 3.26210 | + | 10.0397i | 0.118096 | + | 0.363462i | ||||
\(764\) | −13.5659 | − | 18.6719i | −0.490797 | − | 0.675524i | ||||
\(765\) | 5.11819 | − | 1.97811i | 0.185049 | − | 0.0715186i | ||||
\(766\) | 2.65494 | − | 0.862643i | 0.0959270 | − | 0.0311686i | ||||
\(767\) | 4.84748 | − | 14.9190i | 0.175032 | − | 0.538694i | ||||
\(768\) | −0.0473160 | − | 1.73140i | −0.00170737 | − | 0.0624767i | ||||
\(769\) | 41.6236i | 1.50099i | 0.660879 | + | 0.750493i | \(0.270184\pi\) | ||||
−0.660879 | + | 0.750493i | \(0.729816\pi\) | |||||||
\(770\) | 0.721689 | − | 3.14369i | 0.0260079 | − | 0.113291i | ||||
\(771\) | 27.8462 | − | 21.4177i | 1.00286 | − | 0.771339i | ||||
\(772\) | −14.9669 | + | 20.6001i | −0.538669 | + | 0.741415i | ||||
\(773\) | 32.1769 | + | 10.4549i | 1.15732 | + | 0.376037i | 0.823897 | − | 0.566739i | \(-0.191795\pi\) |
0.333426 | + | 0.942776i | \(0.391795\pi\) | |||||||
\(774\) | −1.61098 | − | 29.4528i | −0.0579055 | − | 1.05866i | ||||
\(775\) | −7.73697 | + | 5.62124i | −0.277920 | + | 0.201921i | ||||
\(776\) | 11.5900 | − | 8.42062i | 0.416056 | − | 0.302283i | ||||
\(777\) | 2.07839 | + | 1.42495i | 0.0745618 | + | 0.0511197i | ||||
\(778\) | −7.82929 | − | 2.54389i | −0.280694 | − | 0.0912029i | ||||
\(779\) | −7.93451 | + | 10.9209i | −0.284283 | + | 0.391283i | ||||
\(780\) | −3.05833 | − | 3.97629i | −0.109506 | − | 0.142374i | ||||
\(781\) | −4.17678 | − | 47.0710i | −0.149457 | − | 1.68433i | ||||
\(782\) | − | 10.8031i | − | 0.386316i | ||||||
\(783\) | 27.5672 | + | 6.51854i | 0.985170 | + | 0.232953i | ||||
\(784\) | −0.309017 | + | 0.951057i | −0.0110363 | + | 0.0339663i | ||||
\(785\) | −18.9024 | + | 6.14177i | −0.674656 | + | 0.219209i | ||||
\(786\) | −2.60177 | − | 0.767450i | −0.0928021 | − | 0.0273740i | ||||
\(787\) | 2.96063 | + | 4.07496i | 0.105535 | + | 0.145257i | 0.858518 | − | 0.512784i | \(-0.171386\pi\) |
−0.752983 | + | 0.658040i | \(0.771386\pi\) | |||||||
\(788\) | 7.23528 | + | 22.2679i | 0.257746 | + | 0.793261i | ||||
\(789\) | 1.55145 | − | 0.551392i | 0.0552332 | − | 0.0196301i | ||||
\(790\) | −0.207392 | − | 0.150679i | −0.00737867 | − | 0.00536092i | ||||
\(791\) | 3.56123 | 0.126623 | ||||||||
\(792\) | −1.69329 | + | 9.80473i | −0.0601686 | + | 0.348396i | ||||
\(793\) | −24.1126 | −0.856263 | ||||||||
\(794\) | 15.2506 | + | 11.0802i | 0.541223 | + | 0.393222i | ||||
\(795\) | −12.2855 | + | 4.36632i | −0.435723 | + | 0.154857i | ||||
\(796\) | −3.95585 | − | 12.1748i | −0.140211 | − | 0.431526i | ||||
\(797\) | −29.8451 | − | 41.0783i | −1.05717 | − | 1.45507i | −0.882424 | − | 0.470455i | \(-0.844090\pi\) |
−0.174745 | − | 0.984614i | \(-0.555910\pi\) | |||||||
\(798\) | −7.98732 | − | 2.35604i | −0.282748 | − | 0.0834029i | ||||
\(799\) | 5.84575 | − | 1.89940i | 0.206808 | − | 0.0671960i | ||||
\(800\) | 1.25282 | − | 3.85579i | 0.0442939 | − | 0.136323i | ||||
\(801\) | 24.0976 | + | 29.6195i | 0.851446 | + | 1.04655i | ||||
\(802\) | 4.15152i | 0.146595i | ||||||||
\(803\) | 33.6627 | + | 7.72785i | 1.18793 | + | 0.272710i | ||||
\(804\) | −10.7330 | − | 13.9545i | −0.378523 | − | 0.492136i | ||||
\(805\) | −3.28346 | + | 4.51929i | −0.115727 | + | 0.159284i | ||||
\(806\) | 6.68110 | + | 2.17082i | 0.235332 | + | 0.0764639i | ||||
\(807\) | 8.08026 | + | 5.53984i | 0.284438 | + | 0.195011i | ||||
\(808\) | 12.7945 | − | 9.29577i | 0.450110 | − | 0.327024i | ||||
\(809\) | −19.1202 | + | 13.8916i | −0.672230 | + | 0.488404i | −0.870771 | − | 0.491689i | \(-0.836380\pi\) |
0.198541 | + | 0.980093i | \(0.436380\pi\) | |||||||
\(810\) | 8.56958 | + | 1.78067i | 0.301104 | + | 0.0625663i | ||||
\(811\) | −47.1118 | − | 15.3076i | −1.65432 | − | 0.537521i | −0.674649 | − | 0.738138i | \(-0.735705\pi\) |
−0.979670 | + | 0.200618i | \(0.935705\pi\) | |||||||
\(812\) | −3.20437 | + | 4.41044i | −0.112451 | + | 0.154776i | ||||
\(813\) | 8.10384 | − | 6.23300i | 0.284214 | − | 0.218601i | ||||
\(814\) | −3.63782 | + | 3.17021i | −0.127506 | + | 0.111116i | ||||
\(815\) | 15.4274i | 0.540397i | ||||||||
\(816\) | −0.0889894 | − | 3.25633i | −0.00311525 | − | 0.113994i | ||||
\(817\) | −14.6081 | + | 44.9590i | −0.511072 | + | 1.57292i | ||||
\(818\) | −32.6539 | + | 10.6099i | −1.14172 | + | 0.370967i | ||||
\(819\) | −3.22077 | − | 8.33348i | −0.112543 | − | 0.291195i | ||||
\(820\) | 1.60494 | + | 2.20901i | 0.0560470 | + | 0.0771421i | ||||
\(821\) | −14.9440 | − | 45.9927i | −0.521547 | − | 1.60516i | −0.771044 | − | 0.636782i | \(-0.780265\pi\) |
0.249496 | − | 0.968376i | \(-0.419735\pi\) | |||||||
\(822\) | −10.0761 | − | 28.3512i | −0.351445 | − | 0.988860i | ||||
\(823\) | −8.18034 | − | 5.94336i | −0.285149 | − | 0.207173i | 0.436011 | − | 0.899941i | \(-0.356391\pi\) |
−0.721160 | + | 0.692769i | \(0.756391\pi\) | |||||||
\(824\) | 2.15597 | 0.0751068 | ||||||||
\(825\) | −11.4202 | + | 20.2975i | −0.397600 | + | 0.706669i | ||||
\(826\) | −5.26743 | −0.183277 | ||||||||
\(827\) | −30.9327 | − | 22.4740i | −1.07564 | − | 0.781496i | −0.0987201 | − | 0.995115i | \(-0.531475\pi\) |
−0.976917 | + | 0.213619i | \(0.931475\pi\) | |||||||
\(828\) | 9.35226 | − | 14.4734i | 0.325013 | − | 0.502987i | ||||
\(829\) | 0.942993 | + | 2.90223i | 0.0327515 | + | 0.100799i | 0.966096 | − | 0.258183i | \(-0.0831239\pi\) |
−0.933344 | + | 0.358982i | \(0.883124\pi\) | |||||||
\(830\) | 0.122798 | + | 0.169017i | 0.00426239 | + | 0.00586668i | ||||
\(831\) | 11.4706 | − | 38.8869i | 0.397910 | − | 1.34897i | ||||
\(832\) | −2.83231 | + | 0.920275i | −0.0981928 | + | 0.0319048i | ||||
\(833\) | −0.581182 | + | 1.78869i | −0.0201368 | + | 0.0619746i | ||||
\(834\) | 15.5779 | − | 0.425716i | 0.539420 | − | 0.0147413i | ||||
\(835\) | 10.2548i | 0.354883i | ||||||||
\(836\) | 8.19594 | − | 13.6786i | 0.283462 | − | 0.473083i | ||||
\(837\) | −11.3080 | + | 4.72934i | −0.390861 | + | 0.163470i | ||||
\(838\) | −0.352046 | + | 0.484550i | −0.0121612 | + | 0.0167385i | ||||
\(839\) | −29.4426 | − | 9.56648i | −1.01647 | − | 0.330272i | −0.247043 | − | 0.969004i | \(-0.579459\pi\) |
−0.769429 | + | 0.638733i | \(0.779459\pi\) | |||||||
\(840\) | −0.952494 | + | 1.38928i | −0.0328642 | + | 0.0479348i | ||||
\(841\) | −0.582478 | + | 0.423195i | −0.0200855 | + | 0.0145929i | ||||
\(842\) | −3.28161 | + | 2.38423i | −0.113092 | + | 0.0821660i | ||||
\(843\) | −23.3051 | + | 33.9923i | −0.802672 | + | 1.17076i | ||||
\(844\) | −1.36475 | − | 0.443433i | −0.0469765 | − | 0.0152636i | ||||
\(845\) | 2.36145 | − | 3.25026i | 0.0812365 | − | 0.111812i | ||||
\(846\) | 9.47620 | + | 2.51597i | 0.325798 | + | 0.0865008i | ||||
\(847\) | 7.93159 | + | 7.62167i | 0.272533 | + | 0.261884i | ||||
\(848\) | 7.74045i | 0.265808i | ||||||||
\(849\) | −52.9978 | + | 1.44833i | −1.81888 | + | 0.0497066i | ||||
\(850\) | 2.35624 | − | 7.25175i | 0.0808182 | − | 0.248733i | ||||
\(851\) | 7.94796 | − | 2.58245i | 0.272452 | − | 0.0885252i | ||||
\(852\) | −6.98210 | + | 23.6703i | −0.239203 | + | 0.810932i | ||||
\(853\) | −18.5370 | − | 25.5140i | −0.634696 | − | 0.873584i | 0.363623 | − | 0.931546i | \(-0.381540\pi\) |
−0.998319 | + | 0.0579620i | \(0.981540\pi\) | |||||||
\(854\) | 2.50202 | + | 7.70043i | 0.0856174 | + | 0.263503i | ||||
\(855\) | −11.7817 | − | 7.61294i | −0.402926 | − | 0.260357i | ||||
\(856\) | 6.51784 | + | 4.73548i | 0.222775 | + | 0.161856i | ||||
\(857\) | 9.35552 | 0.319579 | 0.159789 | − | 0.987151i | \(-0.448919\pi\) | ||||
0.159789 | + | 0.987151i | \(0.448919\pi\) | |||||||
\(858\) | 16.9931 | − | 1.97704i | 0.580135 | − | 0.0674951i | ||||
\(859\) | 14.7846 | 0.504443 | 0.252221 | − | 0.967670i | \(-0.418839\pi\) | ||||
0.252221 | + | 0.967670i | \(0.418839\pi\) | |||||||
\(860\) | 7.73583 | + | 5.62041i | 0.263790 | + | 0.191654i | ||||
\(861\) | 1.62854 | + | 4.58222i | 0.0555004 | + | 0.156162i | ||||
\(862\) | −2.20955 | − | 6.80031i | −0.0752577 | − | 0.231619i | ||||
\(863\) | 29.0337 | + | 39.9615i | 0.988320 | + | 1.36031i | 0.932224 | + | 0.361881i | \(0.117865\pi\) |
0.0560960 | + | 0.998425i | \(0.482135\pi\) | |||||||
\(864\) | 2.69980 | − | 4.43972i | 0.0918489 | − | 0.151042i | ||||
\(865\) | −10.8917 | + | 3.53891i | −0.370327 | + | 0.120327i | ||||
\(866\) | 7.93482 | − | 24.4209i | 0.269636 | − | 0.829855i | ||||
\(867\) | 0.637007 | + | 23.3096i | 0.0216339 | + | 0.791634i | ||||
\(868\) | − | 2.35888i | − | 0.0800657i | ||||||
\(869\) | 0.804326 | − | 0.342589i | 0.0272849 | − | 0.0116216i | ||||
\(870\) | −7.27892 | + | 5.59852i | −0.246778 | + | 0.189808i | ||||
\(871\) | −17.7918 | + | 24.4884i | −0.602854 | + | 0.829757i | ||||
\(872\) | 10.0397 | + | 3.26210i | 0.339987 | + | 0.110469i | ||||
\(873\) | 42.9139 | − | 2.34727i | 1.45241 | − | 0.0794429i | ||||
\(874\) | −22.3425 | + | 16.2328i | −0.755746 | + | 0.549082i | ||||
\(875\) | −7.12368 | + | 5.17566i | −0.240824 | + | 0.174969i | ||||
\(876\) | −14.8764 | − | 10.1993i | −0.502628 | − | 0.344603i | ||||
\(877\) | −13.1529 | − | 4.27364i | −0.444142 | − | 0.144311i | 0.0784037 | − | 0.996922i | \(-0.475018\pi\) |
−0.522546 | + | 0.852611i | \(0.675018\pi\) | |||||||
\(878\) | −16.0603 | + | 22.1052i | −0.542011 | + | 0.746014i | ||||
\(879\) | −22.0517 | − | 28.6705i | −0.743786 | − | 0.967033i | ||||
\(880\) | −2.11910 | − | 2.43167i | −0.0714349 | − | 0.0819717i | ||||
\(881\) | 1.40217i | 0.0472402i | 0.999721 | + | 0.0236201i | \(0.00751921\pi\) | ||||
−0.999721 | + | 0.0236201i | \(0.992481\pi\) | |||||||
\(882\) | −2.32712 | + | 1.89328i | −0.0783583 | + | 0.0637500i | ||||
\(883\) | 13.2851 | − | 40.8873i | 0.447079 | − | 1.37597i | −0.433109 | − | 0.901342i | \(-0.642583\pi\) |
0.880188 | − | 0.474626i | \(-0.157417\pi\) | |||||||
\(884\) | −5.32686 | + | 1.73080i | −0.179162 | + | 0.0582131i | ||||
\(885\) | −8.51018 | − | 2.51027i | −0.286067 | − | 0.0843817i | ||||
\(886\) | −8.21257 | − | 11.3036i | −0.275907 | − | 0.379753i | ||||
\(887\) | 9.12629 | + | 28.0878i | 0.306431 | + | 0.943097i | 0.979139 | + | 0.203190i | \(0.0651308\pi\) |
−0.672709 | + | 0.739908i | \(0.734869\pi\) | |||||||
\(888\) | 2.37445 | − | 0.843889i | 0.0796814 | − | 0.0283191i | ||||
\(889\) | 7.11149 | + | 5.16680i | 0.238512 | + | 0.173289i | ||||
\(890\) | −12.3781 | −0.414916 | ||||||||
\(891\) | −20.2304 | + | 21.9484i | −0.677744 | + | 0.735298i | ||||
\(892\) | 19.1533 | 0.641300 | ||||||||
\(893\) | −12.7122 | − | 9.23592i | −0.425396 | − | 0.309068i | ||||
\(894\) | 10.5004 | − | 3.73188i | 0.351186 | − | 0.124813i | ||||
\(895\) | 5.63319 | + | 17.3372i | 0.188297 | + | 0.579518i | ||||
\(896\) | 0.587785 | + | 0.809017i | 0.0196365 | + | 0.0270274i | ||||
\(897\) | −28.4182 | − | 8.38257i | −0.948855 | − | 0.279886i | ||||
\(898\) | 24.1041 | − | 7.83189i | 0.804364 | − | 0.261354i | ||||
\(899\) | 3.97386 | − | 12.2303i | 0.132536 | − | 0.407903i | ||||
\(900\) | 9.43466 | − | 7.67576i | 0.314489 | − | 0.255859i | ||||
\(901\) | 14.5578i | 0.484991i | ||||||||
\(902\) | −9.27551 | + | 0.823049i | −0.308841 | + | 0.0274045i | ||||
\(903\) | 10.3826 | + | 13.4989i | 0.345512 | + | 0.449217i | ||||
\(904\) | 2.09324 | − | 2.88109i | 0.0696200 | − | 0.0958238i | ||||
\(905\) | −11.2451 | − | 3.65377i | −0.373801 | − | 0.121455i | ||||
\(906\) | −0.995105 | − | 0.682246i | −0.0330602 | − | 0.0226661i | ||||
\(907\) | 33.0151 | − | 23.9869i | 1.09625 | − | 0.796471i | 0.115804 | − | 0.993272i | \(-0.463055\pi\) |
0.980443 | + | 0.196801i | \(0.0630554\pi\) | |||||||
\(908\) | 9.14872 | − | 6.64693i | 0.303611 | − | 0.220586i | ||||
\(909\) | 47.3739 | − | 2.59122i | 1.57129 | − | 0.0859452i | ||||
\(910\) | 2.75447 | + | 0.894980i | 0.0913096 | + | 0.0296683i | ||||
\(911\) | −17.1819 | + | 23.6489i | −0.569263 | + | 0.783523i | −0.992467 | − | 0.122511i | \(-0.960905\pi\) |
0.423204 | + | 0.906034i | \(0.360905\pi\) | |||||||
\(912\) | −6.60090 | + | 5.07703i | −0.218578 | + | 0.168117i | ||||
\(913\) | −0.709694 | + | 0.0629737i | −0.0234875 | + | 0.00208412i | ||||
\(914\) | − | 14.9222i | − | 0.493583i | ||||||
\(915\) | 0.372574 | + | 13.6334i | 0.0123169 | + | 0.450705i | ||||
\(916\) | 7.61392 | − | 23.4332i | 0.251571 | − | 0.774256i | ||||
\(917\) | 1.48947 | − | 0.483957i | 0.0491866 | − | 0.0159817i | ||||
\(918\) | 5.07762 | − | 8.34997i | 0.167587 | − | 0.275590i | ||||
\(919\) | −8.81334 | − | 12.1305i | −0.290725 | − | 0.400149i | 0.638524 | − | 0.769602i | \(-0.279545\pi\) |
−0.929250 | + | 0.369453i | \(0.879545\pi\) | |||||||
\(920\) | 1.72622 | + | 5.31275i | 0.0569117 | + | 0.175156i | ||||
\(921\) | 19.3277 | + | 54.3823i | 0.636868 | + | 1.79196i | ||||
\(922\) | −17.8333 | − | 12.9567i | −0.587309 | − | 0.426705i | ||||
\(923\) | 42.4322 | 1.39667 | ||||||||
\(924\) | −2.39465 | − | 5.22165i | −0.0787781 | − | 0.171780i | ||||
\(925\) | 5.89847 | 0.193940 | ||||||||
\(926\) | −4.63481 | − | 3.36739i | −0.152309 | − | 0.110659i | ||||
\(927\) | 5.43247 | + | 3.51028i | 0.178426 | + | 0.115293i | ||||
\(928\) | 1.68464 | + | 5.18478i | 0.0553010 | + | 0.170199i | ||||
\(929\) | −12.9942 | − | 17.8849i | −0.426325 | − | 0.586786i | 0.540780 | − | 0.841164i | \(-0.318129\pi\) |
−0.967105 | + | 0.254378i | \(0.918129\pi\) | |||||||
\(930\) | 1.12416 | − | 3.81107i | 0.0368626 | − | 0.124970i | ||||
\(931\) | 4.57260 | − | 1.48573i | 0.149861 | − | 0.0486928i | ||||
\(932\) | −0.606815 | + | 1.86758i | −0.0198769 | + | 0.0611747i | ||||
\(933\) | −3.74165 | + | 0.102252i | −0.122496 | + | 0.00334759i | ||||
\(934\) | − | 34.6920i | − | 1.13516i | ||||||
\(935\) | −3.98548 | − | 4.57335i | −0.130339 | − | 0.149565i | ||||
\(936\) | −8.63504 | − | 2.29264i | −0.282245 | − | 0.0749372i | ||||
\(937\) | −28.3089 | + | 38.9638i | −0.924811 | + | 1.27289i | 0.0370390 | + | 0.999314i | \(0.488207\pi\) |
−0.961850 | + | 0.273579i | \(0.911793\pi\) | |||||||
\(938\) | 9.66659 | + | 3.14087i | 0.315625 | + | 0.102553i | ||||
\(939\) | 7.89243 | − | 11.5117i | 0.257560 | − | 0.375670i | ||||
\(940\) | −2.57133 | + | 1.86818i | −0.0838676 | + | 0.0609334i | ||||
\(941\) | −45.5299 | + | 33.0794i | −1.48423 | + | 1.07836i | −0.508069 | + | 0.861317i | \(0.669640\pi\) |
−0.976163 | + | 0.217041i | \(0.930360\pi\) | |||||||
\(942\) | −20.0162 | + | 29.1951i | −0.652163 | + | 0.951227i | ||||
\(943\) | 15.3380 | + | 4.98361i | 0.499473 | + | 0.162289i | ||||
\(944\) | −3.09612 | + | 4.26144i | −0.100770 | + | 0.138698i | ||||
\(945\) | −4.66202 | + | 1.94980i | −0.151656 | + | 0.0634270i | ||||
\(946\) | −30.0018 | + | 12.7788i | −0.975444 | + | 0.415474i | ||||
\(947\) | 10.2133i | 0.331887i | 0.986135 | + | 0.165944i | \(0.0530670\pi\) | ||||
−0.986135 | + | 0.165944i | \(0.946933\pi\) | |||||||
\(948\) | −0.456390 | + | 0.0124723i | −0.0148229 | + | 0.000405081i | ||||
\(949\) | −9.58345 | + | 29.4948i | −0.311092 | + | 0.957443i | ||||
\(950\) | −18.5383 | + | 6.02346i | −0.601462 | + | 0.195427i | ||||
\(951\) | −5.85361 | + | 19.8446i | −0.189816 | + | 0.643505i | ||||
\(952\) | 1.10547 | + | 1.52155i | 0.0358286 | + | 0.0493138i | ||||
\(953\) | −0.593506 | − | 1.82662i | −0.0192255 | − | 0.0591701i | 0.940983 | − | 0.338453i | \(-0.109903\pi\) |
−0.960209 | + | 0.279282i | \(0.909903\pi\) | |||||||
\(954\) | −12.6028 | + | 19.5039i | −0.408030 | + | 0.631462i | ||||
\(955\) | 18.1586 | + | 13.1930i | 0.587600 | + | 0.426916i | ||||
\(956\) | 8.07895 | 0.261292 | ||||||||
\(957\) | −3.61913 | − | 31.1073i | −0.116990 | − | 1.00555i | ||||
\(958\) | 9.68609 | 0.312943 | ||||||||
\(959\) | 14.0539 | + | 10.2108i | 0.453824 | + | 0.329723i | ||||
\(960\) | 0.564091 | + | 1.58718i | 0.0182060 | + | 0.0512261i | ||||
\(961\) | −7.86006 | − | 24.1908i | −0.253550 | − | 0.780347i | ||||
\(962\) | −2.54675 | − | 3.50530i | −0.0821105 | − | 0.113015i | ||||
\(963\) | 8.71305 | + | 22.5443i | 0.280774 | + | 0.726480i | ||||
\(964\) | 3.46267 | − | 1.12509i | 0.111525 | − | 0.0362367i | ||||
\(965\) | 7.65227 | − | 23.5513i | 0.246335 | − | 0.758142i | ||||
\(966\) | 0.271785 | + | 9.94524i | 0.00874454 | + | 0.319983i | ||||
\(967\) | 11.9518i | 0.384343i | 0.981361 | + | 0.192171i | \(0.0615529\pi\) | ||||
−0.981361 | + | 0.192171i | \(0.938447\pi\) | |||||||
\(968\) | 10.8281 | − | 1.93689i | 0.348029 | − | 0.0622539i | ||||
\(969\) | −12.4146 | + | 9.54860i | −0.398815 | + | 0.306745i | ||||
\(970\) | −8.18917 | + | 11.2714i | −0.262938 | + | 0.361904i | ||||
\(971\) | −39.4044 | − | 12.8033i | −1.26455 | − | 0.410876i | −0.401434 | − | 0.915888i | \(-0.631488\pi\) |
−0.863112 | + | 0.505012i | \(0.831488\pi\) | |||||||
\(972\) | 14.0314 | − | 6.79119i | 0.450057 | − | 0.217828i | ||||
\(973\) | −7.27895 | + | 5.28847i | −0.233353 | + | 0.169541i | ||||
\(974\) | 24.9487 | − | 18.1263i | 0.799407 | − | 0.580803i | ||||
\(975\) | −17.2479 | − | 11.8252i | −0.552375 | − | 0.378710i | ||||
\(976\) | 7.70043 | + | 2.50202i | 0.246485 | + | 0.0800877i | ||||
\(977\) | −5.24241 | + | 7.21556i | −0.167720 | + | 0.230846i | −0.884601 | − | 0.466349i | \(-0.845569\pi\) |
0.716881 | + | 0.697195i | \(0.245569\pi\) | |||||||
\(978\) | 16.7513 | + | 21.7792i | 0.535648 | + | 0.696423i | ||||
\(979\) | 21.6970 | − | 36.2112i | 0.693440 | − | 1.15731i | ||||
\(980\) | − | 0.972514i | − | 0.0310658i | ||||||
\(981\) | 19.9862 | + | 24.5660i | 0.638109 | + | 0.784331i | ||||
\(982\) | −10.4244 | + | 32.0829i | −0.332655 | + | 1.02381i | ||||
\(983\) | −48.1199 | + | 15.6351i | −1.53479 | + | 0.498683i | −0.949933 | − | 0.312455i | \(-0.898849\pi\) |
−0.584855 | + | 0.811138i | \(0.698849\pi\) | |||||||
\(984\) | 4.66432 | + | 1.37585i | 0.148693 | + | 0.0438604i | ||||
\(985\) | −13.3841 | − | 18.4216i | −0.426451 | − | 0.586960i | ||||
\(986\) | 3.16837 | + | 9.75125i | 0.100902 | + | 0.310543i | ||||
\(987\) | −5.33379 | + | 1.89565i | −0.169776 | + | 0.0603392i | ||||
\(988\) | 11.5838 | + | 8.41610i | 0.368529 | + | 0.267752i | ||||
\(989\) | 56.4768 | 1.79586 | ||||||||
\(990\) | −1.38040 | − | 9.57743i | −0.0438719 | − | 0.304391i | ||||
\(991\) | −17.9587 | −0.570476 | −0.285238 | − | 0.958457i | \(-0.592073\pi\) | ||||
−0.285238 | + | 0.958457i | \(0.592073\pi\) | |||||||
\(992\) | −1.90838 | − | 1.38652i | −0.0605910 | − | 0.0440219i | ||||
\(993\) | 14.0239 | − | 4.98413i | 0.445034 | − | 0.158167i | ||||
\(994\) | −4.40294 | − | 13.5509i | −0.139653 | − | 0.429807i | ||||
\(995\) | 7.31765 | + | 10.0719i | 0.231985 | + | 0.319300i | ||||
\(996\) | 0.356880 | + | 0.105270i | 0.0113082 | + | 0.00333560i | ||||
\(997\) | 12.5835 | − | 4.08862i | 0.398523 | − | 0.129488i | −0.102897 | − | 0.994692i | \(-0.532811\pi\) |
0.501420 | + | 0.865204i | \(0.332811\pi\) | |||||||
\(998\) | −4.39774 | + | 13.5348i | −0.139208 | + | 0.428438i | ||||
\(999\) | 7.35699 | + | 1.73963i | 0.232765 | + | 0.0550396i |
(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 | 462.2.w.a.29.11 | ✓ | 48 | |
3.2 | odd | 2 | 462.2.w.b.29.5 | yes | 48 | ||
11.8 | odd | 10 | 462.2.w.b.239.5 | yes | 48 | ||
33.8 | even | 10 | inner | 462.2.w.a.239.11 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.w.a.29.11 | ✓ | 48 | 1.1 | even | 1 | trivial | |
462.2.w.a.239.11 | yes | 48 | 33.8 | even | 10 | inner | |
462.2.w.b.29.5 | yes | 48 | 3.2 | odd | 2 | ||
462.2.w.b.239.5 | yes | 48 | 11.8 | odd | 10 |