Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(37,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 9, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bd (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | no (minimal twist has level 64) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 576.181 |
Dual form | 576.2.bd.a.541.3 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.325482 | + | 1.37625i | −0.230151 | + | 0.973155i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.78812 | − | 0.895889i | −0.894061 | − | 0.447945i | ||||
\(5\) | 0.967135 | + | 1.44742i | 0.432516 | + | 0.647306i | 0.982150 | − | 0.188100i | \(-0.0602328\pi\) |
−0.549634 | + | 0.835406i | \(0.685233\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.53283 | + | 1.87756i | 1.71325 | + | 0.709651i | 0.999961 | + | 0.00878062i | \(0.00279499\pi\) |
0.713288 | + | 0.700871i | \(0.247205\pi\) | |||||||
\(8\) | 1.81497 | − | 2.16931i | 0.641688 | − | 0.766966i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.30680 | + | 0.859909i | −0.729473 | + | 0.271927i | ||||
\(11\) | 0.540778 | − | 2.71867i | 0.163051 | − | 0.819711i | −0.809518 | − | 0.587095i | \(-0.800271\pi\) |
0.972569 | − | 0.232616i | \(-0.0747286\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.42546 | − | 2.13334i | 0.395350 | − | 0.591683i | −0.579383 | − | 0.815055i | \(-0.696706\pi\) |
0.974733 | + | 0.223372i | \(0.0717065\pi\) | |||||||
\(14\) | −4.05935 | + | 5.62719i | −1.08491 | + | 1.50393i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.39477 | + | 3.20392i | 0.598691 | + | 0.800980i | ||||
\(17\) | 2.43954 | − | 2.43954i | 0.591675 | − | 0.591675i | −0.346409 | − | 0.938084i | \(-0.612599\pi\) |
0.938084 | + | 0.346409i | \(0.112599\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.88371 | − | 1.25865i | −0.432152 | − | 0.288755i | 0.320406 | − | 0.947280i | \(-0.396181\pi\) |
−0.752559 | + | 0.658525i | \(0.771181\pi\) | |||||||
\(20\) | −0.432628 | − | 3.45461i | −0.0967387 | − | 0.772474i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.56556 | + | 1.62913i | 0.760180 | + | 0.347331i | ||||
\(23\) | 0.690956 | + | 1.66811i | 0.144074 | + | 0.347826i | 0.979400 | − | 0.201929i | \(-0.0647211\pi\) |
−0.835326 | + | 0.549755i | \(0.814721\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.753743 | − | 1.81970i | 0.150749 | − | 0.363939i | ||||
\(26\) | 2.47205 | + | 2.65615i | 0.484809 | + | 0.520913i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.42318 | − | 7.41822i | −1.21387 | − | 1.40191i | ||||
\(29\) | 1.50522 | + | 7.56726i | 0.279513 | + | 1.40521i | 0.824073 | + | 0.566483i | \(0.191697\pi\) |
−0.544560 | + | 0.838722i | \(0.683303\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.63299i | 0.652505i | 0.945283 | + | 0.326253i | \(0.105786\pi\) | ||||
−0.945283 | + | 0.326253i | \(0.894214\pi\) | |||||||
\(32\) | −5.18884 | + | 2.25298i | −0.917267 | + | 0.398273i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.56339 | + | 4.15144i | 0.439617 | + | 0.711966i | ||||
\(35\) | 1.66624 | + | 8.37677i | 0.281646 | + | 1.41593i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.55115 | + | 3.70916i | −0.912603 | + | 0.609782i | −0.920737 | − | 0.390185i | \(-0.872411\pi\) |
0.00813317 | + | 0.999967i | \(0.497411\pi\) | |||||||
\(38\) | 2.34533 | − | 2.18278i | 0.380464 | − | 0.354094i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 4.89522 | + | 0.529009i | 0.774002 | + | 0.0836437i | ||||
\(41\) | 0.926510 | + | 2.23679i | 0.144697 | + | 0.349328i | 0.979567 | − | 0.201118i | \(-0.0644575\pi\) |
−0.834870 | + | 0.550446i | \(0.814458\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.41133 | − | 1.27529i | −0.977718 | − | 0.194480i | −0.319730 | − | 0.947509i | \(-0.603592\pi\) |
−0.657988 | + | 0.753028i | \(0.728592\pi\) | |||||||
\(44\) | −3.40261 | + | 4.37685i | −0.512962 | + | 0.659834i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.52064 | + | 0.407986i | −0.371647 | + | 0.0601542i | ||||
\(47\) | −3.58669 | + | 3.58669i | −0.523172 | + | 0.523172i | −0.918528 | − | 0.395356i | \(-0.870621\pi\) |
0.395356 | + | 0.918528i | \(0.370621\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.0716 | + | 12.0716i | 1.72451 | + | 1.72451i | ||||
\(50\) | 2.25903 | + | 1.62962i | 0.319475 | + | 0.230463i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.46013 | + | 2.53763i | −0.618509 | + | 0.351906i | ||||
\(53\) | 0.513941 | − | 2.58375i | 0.0705952 | − | 0.354906i | −0.929301 | − | 0.369324i | \(-0.879589\pi\) |
0.999896 | + | 0.0144176i | \(0.00458942\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.45807 | − | 1.84659i | 0.601126 | − | 0.248994i | ||||
\(56\) | 12.3000 | − | 6.42539i | 1.64365 | − | 0.858629i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.9044 | − | 0.391449i | −1.43181 | − | 0.0513997i | ||||
\(59\) | −5.40361 | − | 8.08707i | −0.703490 | − | 1.05285i | −0.995344 | − | 0.0963843i | \(-0.969272\pi\) |
0.291854 | − | 0.956463i | \(-0.405728\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 13.1016 | − | 2.60608i | 1.67749 | − | 0.333674i | 0.737624 | − | 0.675211i | \(-0.235948\pi\) |
0.939868 | + | 0.341537i | \(0.110948\pi\) | |||||||
\(62\) | −4.99991 | − | 1.18248i | −0.634989 | − | 0.150174i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.41178 | − | 7.87444i | −0.176472 | − | 0.984306i | ||||
\(65\) | 4.46645 | 0.553995 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.72425 | + | 0.541887i | −0.332820 | + | 0.0662021i | −0.358672 | − | 0.933464i | \(-0.616770\pi\) |
0.0258515 | + | 0.999666i | \(0.491770\pi\) | |||||||
\(68\) | −6.54775 | + | 2.17664i | −0.794031 | + | 0.263956i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −12.0708 | − | 0.433324i | −1.44274 | − | 0.0517921i | ||||
\(71\) | −4.17620 | − | 1.72984i | −0.495623 | − | 0.205294i | 0.120848 | − | 0.992671i | \(-0.461439\pi\) |
−0.616472 | + | 0.787377i | \(0.711439\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.46867 | + | 2.26520i | −0.640059 | + | 0.265121i | −0.679020 | − | 0.734119i | \(-0.737595\pi\) |
0.0389610 | + | 0.999241i | \(0.487595\pi\) | |||||||
\(74\) | −3.29793 | − | 8.84703i | −0.383376 | − | 1.02845i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.24069 | + | 3.93822i | 0.257025 | + | 0.451745i | ||||
\(77\) | 7.55573 | − | 11.3080i | 0.861056 | − | 1.28866i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.71185 | − | 5.71185i | −0.642633 | − | 0.642633i | 0.308569 | − | 0.951202i | \(-0.400150\pi\) |
−0.951202 | + | 0.308569i | \(0.900150\pi\) | |||||||
\(80\) | −2.32135 | + | 6.56485i | −0.259535 | + | 0.733973i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.37995 | + | 0.547072i | −0.373253 | + | 0.0604140i | ||||
\(83\) | −10.3786 | − | 6.93477i | −1.13920 | − | 0.761189i | −0.164871 | − | 0.986315i | \(-0.552721\pi\) |
−0.974330 | + | 0.225126i | \(0.927721\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.89040 | + | 1.17167i | 0.638903 | + | 0.127086i | ||||
\(86\) | 3.84189 | − | 8.40850i | 0.414282 | − | 0.906712i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.91614 | − | 6.10742i | −0.524063 | − | 0.651053i | ||||
\(89\) | −3.49372 | + | 8.43458i | −0.370333 | + | 0.894064i | 0.623360 | + | 0.781935i | \(0.285767\pi\) |
−0.993694 | + | 0.112129i | \(0.964233\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 10.4668 | − | 6.99371i | 1.09722 | − | 0.733141i | ||||
\(92\) | 0.258932 | − | 3.60181i | 0.0269955 | − | 0.375515i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.76877 | − | 6.10358i | −0.388719 | − | 0.629536i | ||||
\(95\) | − | 3.94381i | − | 0.404626i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 9.58124i | − | 0.972828i | −0.873728 | − | 0.486414i | \(-0.838305\pi\) | ||
0.873728 | − | 0.486414i | \(-0.161695\pi\) | |||||||
\(98\) | −20.5426 | + | 12.6844i | −2.07512 | + | 1.28132i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.97803 | + | 2.57857i | −0.297803 | + | 0.257857i | ||||
\(101\) | 3.78774 | − | 2.53089i | 0.376894 | − | 0.251833i | −0.352666 | − | 0.935749i | \(-0.614725\pi\) |
0.729560 | + | 0.683917i | \(0.239725\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.503843 | + | 1.21638i | −0.0496451 | + | 0.119854i | −0.946756 | − | 0.321951i | \(-0.895662\pi\) |
0.897111 | + | 0.441804i | \(0.145662\pi\) | |||||||
\(104\) | −2.04072 | − | 6.96420i | −0.200109 | − | 0.682896i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.38861 | + | 1.54828i | 0.329131 | + | 0.150382i | ||||
\(107\) | 3.54726 | + | 0.705594i | 0.342927 | + | 0.0682124i | 0.363549 | − | 0.931575i | \(-0.381565\pi\) |
−0.0206225 | + | 0.999787i | \(0.506565\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.61993 | − | 5.09147i | −0.729857 | − | 0.487675i | 0.134272 | − | 0.990944i | \(-0.457130\pi\) |
−0.864129 | + | 0.503270i | \(0.832130\pi\) | |||||||
\(110\) | 1.09035 | + | 6.73645i | 0.103961 | + | 0.642295i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 4.83952 | + | 19.0191i | 0.457292 | + | 1.79714i | ||||
\(113\) | 9.25522 | + | 9.25522i | 0.870658 | + | 0.870658i | 0.992544 | − | 0.121886i | \(-0.0388944\pi\) |
−0.121886 | + | 0.992544i | \(0.538894\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.74621 | + | 2.61340i | −0.162835 | + | 0.243700i | ||||
\(116\) | 4.08791 | − | 14.8797i | 0.379552 | − | 1.38155i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.8886 | − | 4.80451i | 1.18649 | − | 0.442291i | ||||
\(119\) | 15.6384 | − | 6.47764i | 1.43357 | − | 0.593804i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.06392 | + | 1.26912i | 0.278539 | + | 0.115374i | ||||
\(122\) | −0.677738 | + | 18.8793i | −0.0613595 | + | 1.70926i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.25476 | − | 6.49624i | 0.292286 | − | 0.583380i | ||||
\(125\) | 11.8996 | − | 2.36697i | 1.06433 | − | 0.211709i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.28837 | 0.735474 | 0.367737 | − | 0.929930i | \(-0.380133\pi\) | ||||
0.367737 | + | 0.929930i | \(0.380133\pi\) | |||||||
\(128\) | 11.2967 | + | 0.620033i | 0.998497 | + | 0.0548037i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.45375 | + | 6.14695i | −0.127502 | + | 0.539123i | ||||
\(131\) | −12.8274 | + | 2.55153i | −1.12074 | + | 0.222928i | −0.720480 | − | 0.693475i | \(-0.756079\pi\) |
−0.400256 | + | 0.916404i | \(0.631079\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −6.17534 | − | 9.24205i | −0.535470 | − | 0.801387i | ||||
\(134\) | 0.140923 | − | 3.92562i | 0.0121739 | − | 0.339122i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.864420 | − | 9.71979i | −0.0741234 | − | 0.833465i | ||||
\(137\) | 3.42304 | − | 1.41787i | 0.292450 | − | 0.121137i | −0.231635 | − | 0.972803i | \(-0.574407\pi\) |
0.524085 | + | 0.851666i | \(0.324407\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −3.82451 | + | 19.2271i | −0.324391 | + | 1.63082i | 0.382822 | + | 0.923822i | \(0.374952\pi\) |
−0.707213 | + | 0.707001i | \(0.750048\pi\) | |||||||
\(140\) | 4.52521 | − | 16.4715i | 0.382450 | − | 1.39209i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 3.73996 | − | 5.18446i | 0.313851 | − | 0.435070i | ||||
\(143\) | −5.02901 | − | 5.02901i | −0.420547 | − | 0.420547i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.49725 | + | 9.49725i | −0.788704 | + | 0.788704i | ||||
\(146\) | −1.33752 | − | 8.26353i | −0.110694 | − | 0.683895i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.2491 | − | 1.65922i | 1.08907 | − | 0.136387i | ||||
\(149\) | −9.20724 | − | 1.83143i | −0.754287 | − | 0.150037i | −0.197053 | − | 0.980393i | \(-0.563137\pi\) |
−0.557234 | + | 0.830356i | \(0.688137\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −6.60900 | − | 15.9555i | −0.537833 | − | 1.29844i | −0.926233 | − | 0.376952i | \(-0.876972\pi\) |
0.388400 | − | 0.921491i | \(-0.373028\pi\) | |||||||
\(152\) | −6.14928 | + | 1.80192i | −0.498772 | + | 0.146155i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 13.1033 | + | 14.0791i | 1.05589 | + | 1.13453i | ||||
\(155\) | −5.25847 | + | 3.51360i | −0.422370 | + | 0.282219i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.838120 | − | 4.21351i | −0.0668893 | − | 0.336275i | 0.932821 | − | 0.360340i | \(-0.117339\pi\) |
−0.999710 | + | 0.0240647i | \(0.992339\pi\) | |||||||
\(158\) | 9.72003 | − | 6.00182i | 0.773284 | − | 0.477479i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −8.27931 | − | 5.33150i | −0.654537 | − | 0.421492i | ||||
\(161\) | 8.85860i | 0.698155i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.20061 | + | 6.03588i | 0.0940391 | + | 0.472766i | 0.998893 | + | 0.0470438i | \(0.0149800\pi\) |
−0.904854 | + | 0.425723i | \(0.860020\pi\) | |||||||
\(164\) | 0.347205 | − | 4.82971i | 0.0271121 | − | 0.377137i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.9220 | − | 12.0264i | 1.00294 | − | 0.933430i | ||||
\(167\) | 2.59281 | − | 6.25960i | 0.200638 | − | 0.484382i | −0.791251 | − | 0.611492i | \(-0.790570\pi\) |
0.991889 | + | 0.127109i | \(0.0405698\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.45565 | + | 5.92846i | 0.188896 | + | 0.456035i | ||||
\(170\) | −3.52973 | + | 7.72530i | −0.270718 | + | 0.592503i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.3217 | + | 8.02422i | 0.787024 | + | 0.611841i | ||||
\(173\) | −13.9780 | − | 9.33980i | −1.06273 | − | 0.710092i | −0.104046 | − | 0.994572i | \(-0.533179\pi\) |
−0.958682 | + | 0.284480i | \(0.908179\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.83318 | − | 6.83318i | 0.516540 | − | 0.516540i | ||||
\(176\) | 10.0055 | − | 4.77798i | 0.754189 | − | 0.360154i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −10.4709 | − | 7.55353i | −0.784830 | − | 0.566161i | ||||
\(179\) | 10.0942 | − | 15.1070i | 0.754476 | − | 1.12915i | −0.233167 | − | 0.972437i | \(-0.574909\pi\) |
0.987644 | − | 0.156717i | \(-0.0500911\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.33053 | − | 6.68904i | 0.0988977 | − | 0.497192i | −0.899308 | − | 0.437316i | \(-0.855929\pi\) |
0.998206 | − | 0.0598766i | \(-0.0190707\pi\) | |||||||
\(182\) | 6.21833 | + | 16.6813i | 0.460933 | + | 1.23650i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.87271 | + | 1.52868i | 0.359221 | + | 0.112696i | ||||
\(185\) | −10.7374 | − | 4.44759i | −0.789431 | − | 0.326993i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.31306 | − | 7.95156i | −0.388530 | − | 0.581476i | ||||
\(188\) | 9.62672 | − | 3.20016i | 0.702100 | − | 0.233396i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.42766 | + | 1.28364i | 0.393764 | + | 0.0931249i | ||||
\(191\) | −4.13034 | −0.298861 | −0.149430 | − | 0.988772i | \(-0.547744\pi\) | ||||
−0.149430 | + | 0.988772i | \(0.547744\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.74997 | 0.197947 | 0.0989737 | − | 0.995090i | \(-0.468444\pi\) | ||||
0.0989737 | + | 0.995090i | \(0.468444\pi\) | |||||||
\(194\) | 13.1862 | + | 3.11852i | 0.946712 | + | 0.223897i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.7707 | − | 32.4003i | −0.769334 | − | 2.31431i | ||||
\(197\) | 1.52669 | + | 2.28486i | 0.108772 | + | 0.162789i | 0.881862 | − | 0.471507i | \(-0.156290\pi\) |
−0.773090 | + | 0.634296i | \(0.781290\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.831551 | + | 0.344440i | 0.0589471 | + | 0.0244167i | 0.411962 | − | 0.911201i | \(-0.364844\pi\) |
−0.353015 | + | 0.935618i | \(0.614844\pi\) | |||||||
\(200\) | −2.57946 | − | 4.93779i | −0.182395 | − | 0.349155i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.25029 | + | 6.03663i | 0.158330 | + | 0.424736i | ||||
\(203\) | −7.38507 | + | 37.1273i | −0.518331 | + | 2.60582i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.34152 | + | 3.50433i | −0.163539 | + | 0.244753i | ||||
\(206\) | −1.51006 | − | 1.08932i | −0.105211 | − | 0.0758968i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 10.2487 | − | 0.541817i | 0.710619 | − | 0.0375682i | ||||
\(209\) | −4.44054 | + | 4.44054i | −0.307158 | + | 0.307158i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.5419 | − | 7.71208i | −0.794581 | − | 0.530922i | 0.0907556 | − | 0.995873i | \(-0.471072\pi\) |
−0.885336 | + | 0.464951i | \(0.846072\pi\) | |||||||
\(212\) | −3.23375 | + | 4.15964i | −0.222095 | + | 0.285685i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.12564 | + | 4.65226i | −0.145306 | + | 0.318022i | ||||
\(215\) | −4.35474 | − | 10.5133i | −0.296991 | − | 0.716999i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.82117 | + | 16.4678i | −0.463051 | + | 1.11790i | ||||
\(218\) | 9.48729 | − | 8.82974i | 0.642560 | − | 0.598025i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −9.62592 | − | 0.692001i | −0.648979 | − | 0.0466547i | ||||
\(221\) | −1.72692 | − | 8.68183i | −0.116165 | − | 0.584003i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.30327i | 0.422098i | 0.977475 | + | 0.211049i | \(0.0676880\pi\) | ||||
−0.977475 | + | 0.211049i | \(0.932312\pi\) | |||||||
\(224\) | −27.7503 | + | 0.469989i | −1.85414 | + | 0.0314025i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −15.7499 | + | 9.72508i | −1.04767 | + | 0.646902i | ||||
\(227\) | −3.46768 | − | 17.4332i | −0.230158 | − | 1.15708i | −0.907057 | − | 0.421007i | \(-0.861677\pi\) |
0.676899 | − | 0.736076i | \(-0.263323\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.65290 | − | 5.11350i | 0.505718 | − | 0.337910i | −0.276398 | − | 0.961043i | \(-0.589141\pi\) |
0.782115 | + | 0.623134i | \(0.214141\pi\) | |||||||
\(230\) | −3.02832 | − | 3.25384i | −0.199682 | − | 0.214552i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 19.1476 | + | 10.4691i | 1.25710 | + | 0.687327i | ||||
\(233\) | −5.24399 | − | 12.6601i | −0.343545 | − | 0.829391i | −0.997352 | − | 0.0727295i | \(-0.976829\pi\) |
0.653807 | − | 0.756662i | \(-0.273171\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −8.66026 | − | 1.72263i | −0.564933 | − | 0.112372i | ||||
\(236\) | 2.41720 | + | 19.3017i | 0.157346 | + | 1.25643i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.82482 | + | 23.6307i | 0.247926 | + | 1.53175i | ||||
\(239\) | −8.39091 | + | 8.39091i | −0.542763 | + | 0.542763i | −0.924338 | − | 0.381575i | \(-0.875382\pi\) |
0.381575 | + | 0.924338i | \(0.375382\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.97755 | + | 3.97755i | 0.256217 | + | 0.256217i | 0.823513 | − | 0.567297i | \(-0.192011\pi\) |
−0.567297 | + | 0.823513i | \(0.692011\pi\) | |||||||
\(242\) | −2.74388 | + | 3.80365i | −0.176383 | + | 0.244508i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −25.7621 | − | 7.07763i | −1.64925 | − | 0.453099i | ||||
\(245\) | −5.79780 | + | 29.1475i | −0.370408 | + | 1.86217i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.37028 | + | 2.22444i | −0.341703 | + | 0.141538i | ||||
\(248\) | 7.88108 | + | 6.59377i | 0.500449 | + | 0.418705i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.615556 | + | 17.1472i | −0.0389312 | + | 1.08448i | ||||
\(251\) | 10.0908 | + | 15.1019i | 0.636924 | + | 0.953224i | 0.999772 | + | 0.0213753i | \(0.00680450\pi\) |
−0.362848 | + | 0.931848i | \(0.618196\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.90871 | − | 0.976404i | 0.308608 | − | 0.0613860i | ||||
\(254\) | −2.69772 | + | 11.4069i | −0.169270 | + | 0.715730i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.53020 | + | 15.3453i | −0.283137 | + | 0.959079i | ||||
\(257\) | 15.1836 | 0.947128 | 0.473564 | − | 0.880760i | \(-0.342967\pi\) | ||||
0.473564 | + | 0.880760i | \(0.342967\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −32.1266 | + | 6.39038i | −1.99625 | + | 0.397079i | ||||
\(260\) | −7.98656 | − | 4.00145i | −0.495306 | − | 0.248159i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.663552 | − | 18.4842i | 0.0409944 | − | 1.14196i | ||||
\(263\) | 19.1921 | + | 7.94964i | 1.18344 | + | 0.490196i | 0.885613 | − | 0.464425i | \(-0.153739\pi\) |
0.297825 | + | 0.954620i | \(0.403739\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.23683 | − | 1.75495i | 0.260266 | − | 0.107806i | ||||
\(266\) | 14.7293 | − | 5.49068i | 0.903112 | − | 0.336655i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.35677 | + | 1.47167i | 0.327217 | + | 0.0898963i | ||||
\(269\) | 3.71107 | − | 5.55401i | 0.226268 | − | 0.338634i | −0.700914 | − | 0.713246i | \(-0.747224\pi\) |
0.927182 | + | 0.374612i | \(0.122224\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.68097 | + | 2.68097i | 0.162858 | + | 0.162858i | 0.783831 | − | 0.620974i | \(-0.213263\pi\) |
−0.620974 | + | 0.783831i | \(0.713263\pi\) | |||||||
\(272\) | 13.6582 | + | 1.97396i | 0.828150 | + | 0.119689i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.837203 | + | 5.17245i | 0.0505773 | + | 0.312479i | ||||
\(275\) | −4.53956 | − | 3.03323i | −0.273746 | − | 0.182911i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.35826 | − | 1.46365i | −0.442115 | − | 0.0879421i | −0.0309870 | − | 0.999520i | \(-0.509865\pi\) |
−0.411128 | + | 0.911578i | \(0.634865\pi\) | |||||||
\(278\) | −25.2165 | − | 11.5216i | −1.51238 | − | 0.691018i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 21.1959 | + | 11.5890i | 1.26670 | + | 0.692574i | ||||
\(281\) | 8.64142 | − | 20.8622i | 0.515504 | − | 1.24454i | −0.425136 | − | 0.905130i | \(-0.639774\pi\) |
0.940640 | − | 0.339407i | \(-0.110226\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −26.0256 | + | 17.3898i | −1.54706 | + | 1.03371i | −0.569776 | + | 0.821800i | \(0.692970\pi\) |
−0.977288 | + | 0.211915i | \(0.932030\pi\) | |||||||
\(284\) | 5.91781 | + | 6.83457i | 0.351157 | + | 0.405557i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.55803 | − | 5.28432i | 0.506047 | − | 0.312468i | ||||
\(287\) | 11.8786i | 0.701171i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.09731i | 0.299842i | ||||||||
\(290\) | −9.97940 | − | 16.1618i | −0.586010 | − | 0.949052i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 11.8080 | + | 0.848871i | 0.691012 | + | 0.0496764i | ||||
\(293\) | −16.4610 | + | 10.9989i | −0.961661 | + | 0.642561i | −0.934082 | − | 0.357058i | \(-0.883780\pi\) |
−0.0275790 | + | 0.999620i | \(0.508780\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.47937 | − | 15.6426i | 0.377243 | − | 0.910746i | ||||
\(296\) | −2.02886 | + | 18.7742i | −0.117925 | + | 1.09123i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.51730 | − | 12.0754i | 0.319609 | − | 0.699507i | ||||
\(299\) | 4.54359 | + | 0.903776i | 0.262763 | + | 0.0522667i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −26.6670 | − | 17.8183i | −1.53706 | − | 1.02703i | ||||
\(302\) | 24.1099 | − | 3.90238i | 1.38737 | − | 0.224557i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.478415 | − | 9.04943i | −0.0274390 | − | 0.519020i | ||||
\(305\) | 16.4431 | + | 16.4431i | 0.941531 | + | 0.941531i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.1044 | − | 21.1087i | 0.804981 | − | 1.20474i | −0.170652 | − | 0.985331i | \(-0.554587\pi\) |
0.975633 | − | 0.219408i | \(-0.0704126\pi\) | |||||||
\(308\) | −23.6413 | + | 13.4509i | −1.34709 | + | 0.766437i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.12405 | − | 8.38057i | −0.177434 | − | 0.475985i | ||||
\(311\) | −13.9327 | + | 5.77111i | −0.790051 | + | 0.327250i | −0.740964 | − | 0.671545i | \(-0.765631\pi\) |
−0.0490867 | + | 0.998795i | \(0.515631\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.08075 | + | 2.10452i | 0.287181 | + | 0.118954i | 0.521624 | − | 0.853176i | \(-0.325327\pi\) |
−0.234443 | + | 0.972130i | \(0.575327\pi\) | |||||||
\(314\) | 6.07164 | + | 0.217962i | 0.342642 | + | 0.0123003i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 5.09630 | + | 15.3307i | 0.286689 | + | 0.862417i | ||||
\(317\) | 4.93180 | − | 0.980996i | 0.276997 | − | 0.0550982i | −0.0546367 | − | 0.998506i | \(-0.517400\pi\) |
0.331634 | + | 0.943408i | \(0.392400\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 21.3869 | 1.19744 | ||||||||
\(320\) | 10.0322 | − | 9.65909i | 0.560820 | − | 0.539959i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −12.1916 | − | 2.88332i | −0.679413 | − | 0.160681i | ||||
\(323\) | −7.66591 | + | 1.52484i | −0.426543 | + | 0.0848446i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.80761 | − | 4.20189i | −0.155738 | − | 0.233079i | ||||
\(326\) | −8.69765 | − | 0.312231i | −0.481718 | − | 0.0172929i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.53387 | + | 2.04982i | 0.360773 | + | 0.113183i | ||||
\(329\) | −22.9921 | + | 9.52364i | −1.26760 | + | 0.525055i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.36801 | + | 6.87743i | −0.0751924 | + | 0.378018i | −0.999997 | − | 0.00242459i | \(-0.999228\pi\) |
0.924805 | + | 0.380442i | \(0.124228\pi\) | |||||||
\(332\) | 12.3454 | + | 21.6983i | 0.677544 | + | 1.19085i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 7.77085 | + | 5.60574i | 0.425202 | + | 0.306733i | ||||
\(335\) | −3.41906 | − | 3.41906i | −0.186803 | − | 0.186803i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.6065 | + | 11.6065i | −0.632248 | + | 0.632248i | −0.948631 | − | 0.316383i | \(-0.897531\pi\) |
0.316383 | + | 0.948631i | \(0.397531\pi\) | |||||||
\(338\) | −8.95831 | + | 1.44998i | −0.487268 | + | 0.0788683i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −9.48307 | − | 7.37224i | −0.514291 | − | 0.399816i | ||||
\(341\) | 9.87693 | + | 1.96464i | 0.534866 | + | 0.106391i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.9104 | + | 45.6538i | 1.02107 | + | 2.46507i | ||||
\(344\) | −14.4029 | + | 11.5935i | −0.776550 | + | 0.625081i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.4035 | − | 16.1973i | 0.935617 | − | 0.870771i | ||||
\(347\) | −14.1994 | + | 9.48772i | −0.762262 | + | 0.509327i | −0.874897 | − | 0.484309i | \(-0.839071\pi\) |
0.112635 | + | 0.993636i | \(0.464071\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.26631 | − | 11.3935i | −0.121313 | − | 0.609881i | −0.992832 | − | 0.119519i | \(-0.961865\pi\) |
0.871519 | − | 0.490362i | \(-0.163135\pi\) | |||||||
\(350\) | 7.18008 | + | 11.6282i | 0.383792 | + | 0.621556i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.31909 | + | 15.3251i | 0.176908 | + | 0.816833i | ||||
\(353\) | − | 11.5221i | − | 0.613261i | −0.951829 | − | 0.306631i | \(-0.900798\pi\) | ||
0.951829 | − | 0.306631i | \(-0.0992016\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.53515 | − | 7.71770i | −0.0814770 | − | 0.409613i | ||||
\(356\) | 13.8036 | − | 11.9521i | 0.731592 | − | 0.633459i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 17.5056 | + | 18.8092i | 0.925198 | + | 0.994098i | ||||
\(359\) | 1.31387 | − | 3.17197i | 0.0693435 | − | 0.167410i | −0.885408 | − | 0.464815i | \(-0.846121\pi\) |
0.954752 | + | 0.297405i | \(0.0961210\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.30684 | − | 12.8118i | −0.279307 | − | 0.674307i | ||||
\(362\) | 8.77271 | + | 4.00831i | 0.461084 | + | 0.210672i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −24.9816 | + | 3.12850i | −1.30939 | + | 0.163978i | ||||
\(365\) | −8.56763 | − | 5.72471i | −0.448450 | − | 0.299645i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −22.5749 | + | 22.5749i | −1.17840 | + | 1.17840i | −0.198245 | + | 0.980152i | \(0.563524\pi\) |
−0.980152 | + | 0.198245i | \(0.936476\pi\) | |||||||
\(368\) | −3.68983 | + | 6.20851i | −0.192346 | + | 0.323641i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.61582 | − | 13.3298i | 0.499903 | − | 0.692981i | ||||
\(371\) | 7.18076 | − | 10.7468i | 0.372807 | − | 0.557945i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.61395 | + | 33.2506i | −0.342457 | + | 1.72165i | 0.298793 | + | 0.954318i | \(0.403416\pi\) |
−0.641250 | + | 0.767332i | \(0.721584\pi\) | |||||||
\(374\) | 12.6726 | − | 4.72400i | 0.655286 | − | 0.244272i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.27090 | + | 14.2904i | 0.0655416 | + | 0.736969i | ||||
\(377\) | 18.2892 | + | 7.57563i | 0.941942 | + | 0.390165i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.6484 | − | 17.4330i | −0.598337 | − | 0.895474i | 0.401455 | − | 0.915879i | \(-0.368505\pi\) |
−0.999792 | + | 0.0204046i | \(0.993505\pi\) | |||||||
\(380\) | −3.53321 | + | 7.05201i | −0.181250 | + | 0.361760i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.34435 | − | 5.68437i | 0.0687830 | − | 0.290838i | ||||
\(383\) | −0.0590227 | −0.00301592 | −0.00150796 | − | 0.999999i | \(-0.500480\pi\) | ||||
−0.00150796 | + | 0.999999i | \(0.500480\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.6748 | 1.20658 | ||||||||
\(386\) | −0.895067 | + | 3.78465i | −0.0455577 | + | 0.192633i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −8.58373 | + | 17.1324i | −0.435773 | + | 0.869768i | ||||
\(389\) | 1.79208 | + | 2.68204i | 0.0908621 | + | 0.135985i | 0.874116 | − | 0.485717i | \(-0.161442\pi\) |
−0.783254 | + | 0.621702i | \(0.786442\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.75504 | + | 2.38382i | 0.291045 | + | 0.120555i | ||||
\(392\) | 48.0965 | − | 4.27742i | 2.42924 | − | 0.216042i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −3.64144 | + | 1.35743i | −0.183453 | + | 0.0683863i | ||||
\(395\) | 2.74331 | − | 13.7916i | 0.138031 | − | 0.693929i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 3.22276 | − | 4.82320i | 0.161746 | − | 0.242069i | −0.741740 | − | 0.670687i | \(-0.765999\pi\) |
0.903486 | + | 0.428618i | \(0.140999\pi\) | |||||||
\(398\) | −0.744690 | + | 1.03231i | −0.0373279 | + | 0.0517451i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.63520 | − | 1.94282i | 0.381760 | − | 0.0971408i | ||||
\(401\) | −18.2413 | + | 18.2413i | −0.910926 | + | 0.910926i | −0.996345 | − | 0.0854187i | \(-0.972777\pi\) |
0.0854187 | + | 0.996345i | \(0.472777\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.75043 | + | 5.17867i | 0.386076 | + | 0.257968i | ||||
\(404\) | −9.04034 | + | 1.13214i | −0.449774 | + | 0.0563261i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −48.6927 | − | 22.2480i | −2.41658 | − | 1.10415i | ||||
\(407\) | 7.08206 | + | 17.0976i | 0.351045 | + | 0.847497i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.91775 | − | 9.45829i | 0.193720 | − | 0.467682i | −0.796936 | − | 0.604064i | \(-0.793547\pi\) |
0.990656 | + | 0.136381i | \(0.0435473\pi\) | |||||||
\(410\) | −4.06071 | − | 4.36311i | −0.200544 | − | 0.215479i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.99068 | − | 1.72366i | 0.0980737 | − | 0.0849185i | ||||
\(413\) | −9.30969 | − | 46.8030i | −0.458100 | − | 2.30302i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 21.7291i | − | 1.06664i | ||||||
\(416\) | −2.59009 | + | 14.2811i | −0.126990 | + | 0.700189i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −4.66597 | − | 7.55660i | −0.228220 | − | 0.369606i | ||||
\(419\) | −6.22515 | − | 31.2959i | −0.304119 | − | 1.52891i | −0.766511 | − | 0.642232i | \(-0.778009\pi\) |
0.462392 | − | 0.886676i | \(-0.346991\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 9.43550 | − | 6.30460i | 0.459858 | − | 0.307268i | −0.303976 | − | 0.952680i | \(-0.598314\pi\) |
0.763835 | + | 0.645412i | \(0.223314\pi\) | |||||||
\(422\) | 14.3704 | − | 13.3745i | 0.699542 | − | 0.651058i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.67217 | − | 5.80433i | −0.226901 | − | 0.281883i | ||||
\(425\) | −2.60044 | − | 6.27801i | −0.126140 | − | 0.304528i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 64.2806 | + | 12.7862i | 3.11076 | + | 0.618768i | ||||
\(428\) | −5.71081 | − | 4.43964i | −0.276042 | − | 0.214598i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.8863 | − | 2.57132i | 0.766103 | − | 0.124000i | ||||
\(431\) | 19.4613 | − | 19.4613i | 0.937417 | − | 0.937417i | −0.0607373 | − | 0.998154i | \(-0.519345\pi\) |
0.998154 | + | 0.0607373i | \(0.0193452\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −25.2269 | − | 25.2269i | −1.21233 | − | 1.21233i | −0.970259 | − | 0.242069i | \(-0.922174\pi\) |
−0.242069 | − | 0.970259i | \(-0.577826\pi\) | |||||||
\(434\) | −20.4436 | − | 14.7476i | −0.981323 | − | 0.707907i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.06397 | + | 15.9308i | 0.434086 | + | 0.762947i | ||||
\(437\) | 0.798020 | − | 4.01192i | 0.0381745 | − | 0.191916i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.5392 | − | 10.9929i | 1.26665 | − | 0.524662i | 0.354704 | − | 0.934979i | \(-0.384582\pi\) |
0.911943 | + | 0.410316i | \(0.134582\pi\) | |||||||
\(440\) | 4.08543 | − | 13.0224i | 0.194765 | − | 0.620820i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 12.5104 | + | 0.449104i | 0.595061 | + | 0.0213617i | ||||
\(443\) | −0.00461809 | − | 0.00691146i | −0.000219412 | − | 0.000328373i | 0.831360 | − | 0.555734i | \(-0.187563\pi\) |
−0.831579 | + | 0.555406i | \(0.812563\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.5873 | + | 3.10050i | −0.738908 | + | 0.146978i | ||||
\(446\) | −8.67487 | − | 2.05160i | −0.410767 | − | 0.0971462i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.38539 | − | 38.3442i | 0.396173 | − | 1.81160i | ||||
\(449\) | −13.9393 | −0.657838 | −0.328919 | − | 0.944358i | \(-0.606684\pi\) | ||||
−0.328919 | + | 0.944358i | \(0.606684\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.58215 | − | 1.30927i | 0.309941 | − | 0.0616511i | ||||
\(452\) | −8.25782 | − | 24.8411i | −0.388415 | − | 1.16843i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 25.1211 | + | 0.901807i | 1.17899 | + | 0.0423239i | ||||
\(455\) | 20.2457 | + | 8.38604i | 0.949132 | + | 0.393143i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.6237 | + | 5.64312i | −0.637290 | + | 0.263974i | −0.677847 | − | 0.735203i | \(-0.737087\pi\) |
0.0405569 | + | 0.999177i | \(0.487087\pi\) | |||||||
\(458\) | 4.54657 | + | 12.1966i | 0.212447 | + | 0.569912i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 5.46376 | − | 3.10866i | 0.254749 | − | 0.144942i | ||||
\(461\) | −16.5649 | + | 24.7911i | −0.771504 | + | 1.15464i | 0.212616 | + | 0.977136i | \(0.431802\pi\) |
−0.984120 | + | 0.177502i | \(0.943198\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −7.31500 | − | 7.31500i | −0.339957 | − | 0.339957i | 0.516394 | − | 0.856351i | \(-0.327274\pi\) |
−0.856351 | + | 0.516394i | \(0.827274\pi\) | |||||||
\(464\) | −20.6402 | + | 22.9444i | −0.958199 | + | 1.06517i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 19.1303 | − | 3.09639i | 0.886193 | − | 0.143438i | ||||
\(467\) | 26.6310 | + | 17.7943i | 1.23233 | + | 0.823420i | 0.989200 | − | 0.146573i | \(-0.0468242\pi\) |
0.243135 | + | 0.969992i | \(0.421824\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.3660 | − | 2.65866i | −0.617185 | − | 0.122766i | ||||
\(470\) | 5.18953 | − | 11.3580i | 0.239375 | − | 0.523905i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −27.3507 | − | 2.95570i | −1.25892 | − | 0.136047i | ||||
\(473\) | −6.93421 | + | 16.7407i | −0.318835 | + | 0.769737i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −3.71020 | + | 2.47908i | −0.170236 | + | 0.113748i | ||||
\(476\) | −33.7666 | − | 2.42746i | −1.54769 | − | 0.111262i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.81689 | − | 14.2791i | −0.403275 | − | 0.653110i | ||||
\(479\) | 24.2263i | 1.10693i | 0.832873 | + | 0.553465i | \(0.186695\pi\) | ||||
−0.832873 | + | 0.553465i | \(0.813305\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.1298i | 0.781050i | ||||||||
\(482\) | −6.76873 | + | 4.17948i | −0.308307 | + | 0.190370i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.34168 | − | 5.01428i | −0.197349 | − | 0.227922i | ||||
\(485\) | 13.8681 | − | 9.26636i | 0.629717 | − | 0.420764i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.2953 | − | 29.6835i | 0.557153 | − | 1.34509i | −0.354857 | − | 0.934921i | \(-0.615470\pi\) |
0.912011 | − | 0.410167i | \(-0.134530\pi\) | |||||||
\(488\) | 18.1257 | − | 33.1514i | 0.820511 | − | 1.50069i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −38.2272 | − | 17.4662i | −1.72693 | − | 0.789043i | ||||
\(491\) | 17.7528 | + | 3.53125i | 0.801173 | + | 0.159363i | 0.578663 | − | 0.815567i | \(-0.303575\pi\) |
0.222510 | + | 0.974930i | \(0.428575\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.1327 | + | 14.7886i | 0.996805 | + | 0.666044i | ||||
\(494\) | −1.31346 | − | 8.11487i | −0.0590953 | − | 0.365105i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −11.6398 | + | 8.70017i | −0.522643 | + | 0.390649i | ||||
\(497\) | −15.6821 | − | 15.6821i | −0.703440 | − | 0.703440i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 15.7545 | − | 23.5782i | 0.705267 | − | 1.05551i | −0.289875 | − | 0.957064i | \(-0.593614\pi\) |
0.995143 | − | 0.0984427i | \(-0.0313861\pi\) | |||||||
\(500\) | −23.3984 | − | 6.42826i | −1.04641 | − | 0.287481i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −24.0683 | + | 8.97201i | −1.07422 | + | 0.400440i | ||||
\(503\) | 29.1486 | − | 12.0738i | 1.29967 | − | 0.538342i | 0.377819 | − | 0.925880i | \(-0.376674\pi\) |
0.921854 | + | 0.387538i | \(0.126674\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.32651 | + | 3.03474i | 0.326025 | + | 0.135044i | ||||
\(506\) | −0.253924 | + | 7.07342i | −0.0112883 | + | 0.314452i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.8206 | − | 7.42546i | −0.657559 | − | 0.329452i | ||||
\(509\) | −5.86884 | + | 1.16739i | −0.260132 | + | 0.0517435i | −0.323433 | − | 0.946251i | \(-0.604837\pi\) |
0.0633013 | + | 0.997994i | \(0.479837\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.0416 | −1.28473 | ||||||||
\(512\) | −19.6444 | − | 11.2293i | −0.868169 | − | 0.496269i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.94199 | + | 20.8964i | −0.217982 | + | 0.921702i | ||||
\(515\) | −2.24790 | + | 0.447136i | −0.0990544 | + | 0.0197031i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.81144 | + | 11.6906i | 0.343547 | + | 0.514154i | ||||
\(518\) | 1.66188 | − | 46.2942i | 0.0730190 | − | 2.03405i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 8.10647 | − | 9.68910i | 0.355492 | − | 0.424895i | ||||
\(521\) | −26.1756 | + | 10.8423i | −1.14678 | + | 0.475010i | −0.873451 | − | 0.486912i | \(-0.838123\pi\) |
−0.273325 | + | 0.961922i | \(0.588123\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.00914 | + | 5.07326i | −0.0441264 | + | 0.221838i | −0.996556 | − | 0.0829195i | \(-0.973576\pi\) |
0.952430 | + | 0.304758i | \(0.0985756\pi\) | |||||||
\(524\) | 25.2229 | + | 6.92949i | 1.10187 | + | 0.302716i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.1874 | + | 23.8257i | −0.749406 | + | 1.03885i | ||||
\(527\) | 8.86283 | + | 8.86283i | 0.386071 | + | 0.386071i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.9583 | − | 13.9583i | 0.606881 | − | 0.606881i | ||||
\(530\) | 1.03624 | + | 6.40213i | 0.0450113 | + | 0.278091i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.76241 | + | 22.0583i | 0.119766 | + | 0.956350i | ||||
\(533\) | 6.09255 | + | 1.21188i | 0.263898 | + | 0.0524925i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.40939 | + | 5.81678i | 0.104167 | + | 0.251481i | ||||
\(536\) | −3.76891 | + | 6.89324i | −0.162792 | + | 0.297743i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 6.43581 | + | 6.91508i | 0.277467 | + | 0.298130i | ||||
\(539\) | 39.3468 | − | 26.2907i | 1.69479 | − | 1.13242i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0.217556 | + | 1.09373i | 0.00935346 | + | 0.0470230i | 0.985180 | − | 0.171523i | \(-0.0548687\pi\) |
−0.975827 | + | 0.218546i | \(0.929869\pi\) | |||||||
\(542\) | −4.56230 | + | 2.81708i | −0.195967 | + | 0.121004i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.16216 | + | 18.1546i | −0.307075 | + | 0.778372i | ||||
\(545\) | − | 15.9534i | − | 0.683368i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1.95857 | − | 9.84642i | −0.0837426 | − | 0.421002i | −0.999801 | − | 0.0199572i | \(-0.993647\pi\) |
0.916058 | − | 0.401045i | \(-0.131353\pi\) | |||||||
\(548\) | −7.39107 | − | 0.531339i | −0.315731 | − | 0.0226977i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 5.65203 | − | 5.26030i | 0.241003 | − | 0.224300i | ||||
\(551\) | 6.68916 | − | 16.1491i | 0.284968 | − | 0.687973i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.1665 | − | 36.6152i | −0.644946 | − | 1.55704i | ||||
\(554\) | 4.40933 | − | 9.65040i | 0.187334 | − | 0.410006i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.0641 | − | 30.9541i | 1.02054 | − | 1.31275i | ||||
\(557\) | 20.7214 | + | 13.8456i | 0.877994 | + | 0.586657i | 0.910820 | − | 0.412804i | \(-0.135451\pi\) |
−0.0328255 | + | 0.999461i | \(0.510451\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.8597 | + | 11.8597i | −0.501612 | + | 0.501612i | ||||
\(560\) | −22.8482 | + | 25.3989i | −0.965514 | + | 1.07330i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 25.8990 | + | 18.6830i | 1.09248 | + | 0.788096i | ||||
\(563\) | −22.4818 | + | 33.6463i | −0.947493 | + | 1.41802i | −0.0394146 | + | 0.999223i | \(0.512549\pi\) |
−0.908078 | + | 0.418800i | \(0.862451\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.44514 | + | 22.3472i | −0.187008 | + | 0.940155i | ||||
\(566\) | −15.4618 | − | 41.4778i | −0.649907 | − | 1.74344i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −11.3322 | + | 5.91985i | −0.475489 | + | 0.248391i | ||||
\(569\) | −21.2575 | − | 8.80516i | −0.891163 | − | 0.369132i | −0.110347 | − | 0.993893i | \(-0.535196\pi\) |
−0.780816 | + | 0.624762i | \(0.785196\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.4891 | + | 32.1606i | 0.899289 | + | 1.34588i | 0.938002 | + | 0.346631i | \(0.112674\pi\) |
−0.0387126 | + | 0.999250i | \(0.512326\pi\) | |||||||
\(572\) | 4.48706 | + | 13.4979i | 0.187613 | + | 0.564377i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −16.3479 | − | 3.86627i | −0.682348 | − | 0.161375i | ||||
\(575\) | 3.55627 | 0.148307 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.9731 | 0.540076 | 0.270038 | − | 0.962850i | \(-0.412964\pi\) | ||||
0.270038 | + | 0.962850i | \(0.412964\pi\) | |||||||
\(578\) | −7.01517 | − | 1.65908i | −0.291792 | − | 0.0690088i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 25.4907 | − | 8.47377i | 1.05845 | − | 0.351854i | ||||
\(581\) | −34.0241 | − | 50.9206i | −1.41156 | − | 2.11254i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.74646 | − | 2.79448i | −0.279410 | − | 0.115735i | ||||
\(584\) | −5.01156 | + | 15.9745i | −0.207380 | + | 0.661029i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.77944 | − | 26.2344i | −0.403985 | − | 1.08373i | ||||
\(587\) | −0.438329 | + | 2.20363i | −0.0180918 | + | 0.0909534i | −0.988776 | − | 0.149404i | \(-0.952265\pi\) |
0.970685 | + | 0.240357i | \(0.0772646\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.57268 | − | 6.84350i | 0.188414 | − | 0.281982i | ||||
\(590\) | 19.4192 | + | 14.0086i | 0.799474 | + | 0.576725i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −25.1775 | − | 8.90287i | −1.03479 | − | 0.365906i | ||||
\(593\) | 25.5913 | − | 25.5913i | 1.05091 | − | 1.05091i | 0.0522765 | − | 0.998633i | \(-0.483352\pi\) |
0.998633 | − | 0.0522765i | \(-0.0166477\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 24.5003 | + | 16.3706i | 1.00441 | + | 0.671128i | ||||
\(596\) | 14.8229 | + | 11.5235i | 0.607170 | + | 0.472021i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.72268 | + | 5.95895i | −0.111339 | + | 0.243679i | ||||
\(599\) | −4.71217 | − | 11.3762i | −0.192534 | − | 0.464819i | 0.797903 | − | 0.602786i | \(-0.205943\pi\) |
−0.990437 | + | 0.137968i | \(0.955943\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.85882 | + | 21.3871i | −0.361359 | + | 0.872397i | 0.633743 | + | 0.773543i | \(0.281518\pi\) |
−0.995102 | + | 0.0988537i | \(0.968482\pi\) | |||||||
\(602\) | 33.2021 | − | 30.9009i | 1.35322 | − | 1.25943i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.47669 | + | 34.4514i | −0.100775 | + | 1.40181i | ||||
\(605\) | 1.12628 | + | 5.66219i | 0.0457898 | + | 0.230201i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.3561i | 0.460929i | 0.973081 | + | 0.230465i | \(0.0740246\pi\) | ||||
−0.973081 | + | 0.230465i | \(0.925975\pi\) | |||||||
\(608\) | 12.6100 | + | 2.28701i | 0.511402 | + | 0.0927505i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −27.9818 | + | 17.2779i | −1.13295 | + | 0.699562i | ||||
\(611\) | 2.53898 | + | 12.7643i | 0.102716 | + | 0.516389i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.5529 | − | 13.7330i | 0.830122 | − | 0.554670i | −0.0663364 | − | 0.997797i | \(-0.521131\pi\) |
0.896459 | + | 0.443127i | \(0.146131\pi\) | |||||||
\(614\) | 24.4601 | + | 26.2817i | 0.987131 | + | 1.06064i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.8170 | − | 36.9143i | −0.435829 | − | 1.48732i | ||||
\(617\) | 1.48976 | + | 3.59660i | 0.0599754 | + | 0.144793i | 0.951026 | − | 0.309110i | \(-0.100031\pi\) |
−0.891051 | + | 0.453903i | \(0.850031\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.987852 | − | 0.196496i | −0.0397051 | − | 0.00789784i | 0.175198 | − | 0.984533i | \(-0.443944\pi\) |
−0.214903 | + | 0.976635i | \(0.568944\pi\) | |||||||
\(620\) | 12.5506 | − | 1.57174i | 0.504043 | − | 0.0631225i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.40764 | − | 21.0532i | −0.136634 | − | 0.844158i | ||||
\(623\) | −31.6729 | + | 31.6729i | −1.26895 | + | 1.26895i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.97082 | + | 7.97082i | 0.318833 | + | 0.318833i | ||||
\(626\) | −4.55003 | + | 6.30739i | −0.181856 | + | 0.252094i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.27618 | + | 8.28514i | −0.0908295 | + | 0.330613i | ||||
\(629\) | −4.49360 | + | 22.5909i | −0.179172 | + | 0.900757i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −24.1540 | + | 10.0049i | −0.961554 | + | 0.398289i | −0.807561 | − | 0.589783i | \(-0.799213\pi\) |
−0.153992 | + | 0.988072i | \(0.549213\pi\) | |||||||
\(632\) | −22.7576 | + | 2.02392i | −0.905248 | + | 0.0805073i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.255118 | + | 7.10668i | −0.0101320 | + | 0.282242i | ||||
\(635\) | 8.01597 | + | 11.9968i | 0.318104 | + | 0.476077i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 42.9604 | − | 8.54535i | 1.70215 | − | 0.338579i | ||||
\(638\) | −6.96106 | + | 29.4337i | −0.275591 | + | 1.16529i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.0280 | + | 16.9507i | 0.396391 | + | 0.670036i | ||||
\(641\) | 6.97029 | 0.275310 | 0.137655 | − | 0.990480i | \(-0.456044\pi\) | ||||
0.137655 | + | 0.990480i | \(0.456044\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.2606 | + | 2.04096i | −0.404638 | + | 0.0804875i | −0.393214 | − | 0.919447i | \(-0.628637\pi\) |
−0.0114247 | + | 0.999935i | \(0.503637\pi\) | |||||||
\(644\) | 7.93632 | − | 15.8403i | 0.312735 | − | 0.624194i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.396552 | − | 11.0465i | 0.0156021 | − | 0.434619i | ||||
\(647\) | −2.38405 | − | 0.987505i | −0.0937266 | − | 0.0388228i | 0.335328 | − | 0.942102i | \(-0.391153\pi\) |
−0.429054 | + | 0.903279i | \(0.641153\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24.9083 | + | 10.3173i | −0.977735 | + | 0.404991i | ||||
\(650\) | 6.69668 | − | 2.49633i | 0.262665 | − | 0.0979143i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.26064 | − | 11.8685i | 0.127696 | − | 0.464806i | ||||
\(653\) | 4.66186 | − | 6.97696i | 0.182433 | − | 0.273030i | −0.728970 | − | 0.684546i | \(-0.760001\pi\) |
0.911403 | + | 0.411516i | \(0.135001\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −16.0990 | − | 16.0990i | −0.629039 | − | 0.629039i | ||||
\(656\) | −4.94773 | + | 8.32506i | −0.193176 | + | 0.325039i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.62338 | − | 34.7426i | −0.219222 | − | 1.35441i | ||||
\(659\) | 1.71040 | + | 1.14285i | 0.0666278 | + | 0.0445192i | 0.588438 | − | 0.808542i | \(-0.299743\pi\) |
−0.521810 | + | 0.853062i | \(0.674743\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −2.70170 | − | 0.537402i | −0.105084 | − | 0.0209025i | 0.142268 | − | 0.989828i | \(-0.454560\pi\) |
−0.247352 | + | 0.968926i | \(0.579560\pi\) | |||||||
\(662\) | −9.01979 | − | 4.12120i | −0.350564 | − | 0.160175i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −33.8805 | + | 9.92800i | −1.31482 | + | 0.385281i | ||||
\(665\) | 7.40473 | − | 17.8766i | 0.287143 | − | 0.693225i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −11.5830 | + | 7.73953i | −0.448496 | + | 0.299676i | ||||
\(668\) | −10.2442 | + | 8.87006i | −0.396359 | + | 0.343193i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.81832 | − | 3.59263i | 0.224781 | − | 0.138795i | ||||
\(671\) | − | 37.0284i | − | 1.42947i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 6.84519i | − | 0.263863i | −0.991259 | − | 0.131931i | \(-0.957882\pi\) | ||
0.991259 | − | 0.131931i | \(-0.0421178\pi\) | |||||||
\(674\) | −12.1958 | − | 19.7512i | −0.469763 | − | 0.760788i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.920242 | − | 12.8008i | 0.0353939 | − | 0.492339i | ||||
\(677\) | −15.3133 | + | 10.2320i | −0.588539 | + | 0.393249i | −0.813882 | − | 0.581030i | \(-0.802650\pi\) |
0.225343 | + | 0.974280i | \(0.427650\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.9894 | − | 43.4302i | 0.690369 | − | 1.66670i | ||||
\(680\) | 13.2326 | − | 10.6515i | 0.507447 | − | 0.408467i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.91860 | + | 12.9537i | −0.226635 | + | 0.496021i | ||||
\(683\) | −16.5246 | − | 3.28694i | −0.632296 | − | 0.125771i | −0.131471 | − | 0.991320i | \(-0.541970\pi\) |
−0.500825 | + | 0.865549i | \(0.666970\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.36279 | + | 3.58330i | 0.204902 | + | 0.136911i | ||||
\(686\) | −68.9860 | + | 11.1660i | −2.63390 | + | 0.426318i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −11.2677 | − | 23.5954i | −0.429577 | − | 0.899566i | ||||
\(689\) | −4.77944 | − | 4.77944i | −0.182082 | − | 0.182082i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.27571 | + | 9.39227i | −0.238739 | + | 0.357299i | −0.931420 | − | 0.363945i | \(-0.881429\pi\) |
0.692681 | + | 0.721244i | \(0.256429\pi\) | |||||||
\(692\) | 16.6270 | + | 29.2235i | 0.632062 | + | 1.11091i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −8.43582 | − | 22.6300i | −0.320219 | − | 0.859021i | ||||
\(695\) | −31.5285 | + | 13.0595i | −1.19595 | + | 0.495377i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.71700 | + | 3.19648i | 0.292302 | + | 0.121075i | ||||
\(698\) | 16.4180 | + | 0.589378i | 0.621429 | + | 0.0223083i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −18.3403 | + | 6.09680i | −0.693200 | + | 0.230437i | ||||
\(701\) | 28.6261 | − | 5.69409i | 1.08119 | − | 0.215063i | 0.377817 | − | 0.925880i | \(-0.376675\pi\) |
0.703377 | + | 0.710817i | \(0.251675\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 15.1253 | 0.570461 | ||||||||
\(704\) | −22.1715 | − | 0.420160i | −0.835620 | − | 0.0158354i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.8573 | + | 3.75025i | 0.596798 | + | 0.141143i | ||||
\(707\) | 21.9211 | − | 4.36037i | 0.824427 | − | 0.163989i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −26.7046 | − | 39.9663i | −1.00291 | − | 1.50097i | −0.859390 | − | 0.511320i | \(-0.829157\pi\) |
−0.143524 | − | 0.989647i | \(-0.545843\pi\) | |||||||
\(710\) | 11.1211 | + | 0.399231i | 0.417369 | + | 0.0149829i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.9562 | + | 22.8874i | 0.448078 | + | 0.857743i | ||||
\(713\) | −6.06025 | + | 2.51024i | −0.226958 | + | 0.0940092i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.41536 | − | 12.1428i | 0.0903293 | − | 0.454116i | ||||
\(716\) | −31.5839 | + | 17.9700i | −1.18035 | + | 0.671569i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.93778 | + | 2.84063i | 0.146956 | + | 0.106012i | ||||
\(719\) | −17.7608 | − | 17.7608i | −0.662368 | − | 0.662368i | 0.293570 | − | 0.955938i | \(-0.405157\pi\) |
−0.955938 | + | 0.293570i | \(0.905157\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.56767 | + | 4.56767i | −0.170109 | + | 0.170109i | ||||
\(722\) | 19.3596 | − | 3.13350i | 0.720488 | − | 0.116617i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −8.37179 | + | 10.7688i | −0.311135 | + | 0.400220i | ||||
\(725\) | 14.9047 | + | 2.96472i | 0.553546 | + | 0.110107i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.6348 | + | 47.4026i | 0.728214 | + | 1.75806i | 0.648459 | + | 0.761250i | \(0.275414\pi\) |
0.0797551 | + | 0.996814i | \(0.474586\pi\) | |||||||
\(728\) | 3.82547 | − | 35.3991i | 0.141781 | − | 1.31198i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.6672 | − | 9.92790i | 0.394812 | − | 0.367448i | ||||
\(731\) | −18.7518 | + | 12.5296i | −0.693560 | + | 0.463422i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.665236 | − | 3.34437i | −0.0245710 | − | 0.123527i | 0.966553 | − | 0.256467i | \(-0.0825584\pi\) |
−0.991124 | + | 0.132940i | \(0.957558\pi\) | |||||||
\(734\) | −23.7209 | − | 38.4163i | −0.875555 | − | 1.41797i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.34348 | − | 7.09888i | −0.270684 | − | 0.261668i | ||||
\(737\) | 7.69939i | 0.283611i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.70308 | + | 23.6440i | 0.173006 | + | 0.869758i | 0.965605 | + | 0.260015i | \(0.0837274\pi\) |
−0.792599 | + | 0.609743i | \(0.791273\pi\) | |||||||
\(740\) | 15.2153 | + | 17.5724i | 0.559325 | + | 0.645973i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.4530 | + | 13.3804i | 0.457165 | + | 0.491210i | ||||
\(743\) | 16.2703 | − | 39.2800i | 0.596899 | − | 1.44104i | −0.279826 | − | 0.960051i | \(-0.590277\pi\) |
0.876725 | − | 0.480992i | \(-0.159723\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.25379 | − | 15.0980i | −0.229121 | − | 0.553148i | ||||
\(746\) | −43.6084 | − | 19.9249i | −1.59662 | − | 0.729503i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.37669 | + | 18.9783i | 0.0869004 | + | 0.693914i | ||||
\(749\) | 14.7544 | + | 9.85854i | 0.539112 | + | 0.360223i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.57525 | − | 1.57525i | 0.0574817 | − | 0.0574817i | −0.677782 | − | 0.735263i | \(-0.737059\pi\) |
0.735263 | + | 0.677782i | \(0.237059\pi\) | |||||||
\(752\) | −20.0807 | − | 2.90218i | −0.732269 | − | 0.105832i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −16.3788 | + | 22.7048i | −0.596480 | + | 0.826859i | ||||
\(755\) | 16.7026 | − | 24.9971i | 0.607868 | − | 0.909739i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.61478 | + | 18.1727i | −0.131382 | + | 0.660500i | 0.857821 | + | 0.513948i | \(0.171817\pi\) |
−0.989203 | + | 0.146552i | \(0.953183\pi\) | |||||||
\(758\) | 27.7835 | − | 10.3569i | 1.00914 | − | 0.376180i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −8.55532 | − | 7.15788i | −0.310334 | − | 0.259644i | ||||
\(761\) | 25.7162 | + | 10.6520i | 0.932211 | + | 0.386135i | 0.796517 | − | 0.604616i | \(-0.206673\pi\) |
0.135694 | + | 0.990751i | \(0.456673\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −24.9803 | − | 37.3857i | −0.904348 | − | 1.35345i | ||||
\(764\) | 7.38555 | + | 3.70032i | 0.267200 | + | 0.133873i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.0192108 | − | 0.0812300i | 0.000694116 | − | 0.00293496i | ||||
\(767\) | −24.9551 | −0.901077 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.14052 | 0.329615 | 0.164808 | − | 0.986326i | \(-0.447300\pi\) | ||||
0.164808 | + | 0.986326i | \(0.447300\pi\) | |||||||
\(770\) | −7.70572 | + | 32.5824i | −0.277695 | + | 1.17419i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.91729 | − | 2.46367i | −0.176977 | − | 0.0886694i | ||||
\(773\) | 21.6826 | + | 32.4503i | 0.779869 | + | 1.16716i | 0.982200 | + | 0.187839i | \(0.0601482\pi\) |
−0.202331 | + | 0.979317i | \(0.564852\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.61095 | + | 2.73835i | 0.237472 | + | 0.0983643i | ||||
\(776\) | −20.7847 | − | 17.3897i | −0.746126 | − | 0.624252i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.27444 | + | 1.59339i | −0.153246 | + | 0.0571259i | ||||
\(779\) | 1.07007 | − | 5.37962i | 0.0383393 | − | 0.192745i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.96126 | + | 10.4183i | −0.249093 | + | 0.372795i | ||||
\(782\) | −5.15389 | + | 7.14448i | −0.184303 | + | 0.255486i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −9.76777 | + | 67.5850i | −0.348849 | + | 2.41375i | ||||
\(785\) | 5.28815 | − | 5.28815i | 0.188742 | − | 0.188742i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.88104 | − | 3.92959i | −0.209637 | − | 0.140075i | 0.446320 | − | 0.894874i | \(-0.352734\pi\) |
−0.655956 | + | 0.754799i | \(0.727734\pi\) | |||||||
\(788\) | −0.682935 | − | 5.45335i | −0.0243286 | − | 0.194268i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 18.0877 | + | 8.26439i | 0.643533 | + | 0.294034i | ||||
\(791\) | 24.5751 | + | 59.3296i | 0.873791 | + | 2.10952i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.1161 | − | 31.6651i | 0.465768 | − | 1.12446i | ||||
\(794\) | 5.58897 | + | 6.00518i | 0.198345 | + | 0.213116i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.17834 | − | 1.36088i | −0.0417650 | − | 0.0482350i | ||||
\(797\) | 6.94836 | + | 34.9318i | 0.246124 | + | 1.23735i | 0.884103 | + | 0.467293i | \(0.154771\pi\) |
−0.637979 | + | 0.770054i | \(0.720229\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.4997i | 0.619096i | ||||||||
\(800\) | 0.188676 | + | 11.1403i | 0.00667071 | + | 0.393869i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.1673 | − | 31.0418i | −0.676822 | − | 1.09612i | ||||
\(803\) | 3.20100 | + | 16.0925i | 0.112961 | + | 0.567892i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −12.8221 | + | 8.56746i | −0.451920 | + | 0.301963i | ||||
\(806\) | −9.64977 | + | 8.98095i | −0.339899 | + | 0.316341i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.38436 | − | 12.8102i | 0.0487016 | − | 0.450663i | ||||
\(809\) | −20.3911 | − | 49.2285i | −0.716913 | − | 1.73078i | −0.681958 | − | 0.731392i | \(-0.738871\pi\) |
−0.0349550 | − | 0.999389i | \(-0.511129\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 20.2159 | + | 4.02118i | 0.709875 | + | 0.141203i | 0.536804 | − | 0.843707i | \(-0.319631\pi\) |
0.173070 | + | 0.984910i | \(0.444631\pi\) | |||||||
\(812\) | 46.4673 | − | 59.7719i | 1.63068 | − | 2.09758i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −25.8356 | + | 4.18171i | −0.905539 | + | 0.146569i | ||||
\(815\) | −7.57529 | + | 7.57529i | −0.265351 | + | 0.265351i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.4719 | + | 10.4719i | 0.366366 | + | 0.366366i | ||||
\(818\) | 11.7418 | + | 8.47031i | 0.410542 | + | 0.296157i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.32641 | − | 4.16843i | 0.255849 | − | 0.145568i | ||||
\(821\) | 1.78916 | − | 8.99472i | 0.0624421 | − | 0.313918i | −0.936923 | − | 0.349535i | \(-0.886340\pi\) |
0.999366 | + | 0.0356170i | \(0.0113397\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.9325 | + | 11.5700i | −0.973664 | + | 0.403305i | −0.812075 | − | 0.583553i | \(-0.801662\pi\) |
−0.161589 | + | 0.986858i | \(0.551662\pi\) | |||||||
\(824\) | 1.72425 | + | 3.30069i | 0.0600671 | + | 0.114985i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 67.4427 | + | 2.42108i | 2.34663 | + | 0.0842402i | ||||
\(827\) | −2.65323 | − | 3.97084i | −0.0922619 | − | 0.138080i | 0.782467 | − | 0.622692i | \(-0.213961\pi\) |
−0.874729 | + | 0.484612i | \(0.838961\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.9462 | − | 4.56428i | 0.796953 | − | 0.158524i | 0.220213 | − | 0.975452i | \(-0.429325\pi\) |
0.576740 | + | 0.816928i | \(0.304325\pi\) | |||||||
\(830\) | 29.9046 | + | 7.07242i | 1.03800 | + | 0.245487i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.8113 | − | 8.21286i | −0.652165 | − | 0.284730i | ||||
\(833\) | 58.8982 | 2.04070 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 11.5679 | − | 2.30099i | 0.400323 | − | 0.0796291i | ||||
\(836\) | 11.9185 | − | 3.96200i | 0.412208 | − | 0.137029i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 45.0972 | + | 1.61892i | 1.55786 | + | 0.0559245i | ||||
\(839\) | −15.5489 | − | 6.44058i | −0.536809 | − | 0.222354i | 0.0977736 | − | 0.995209i | \(-0.468828\pi\) |
−0.634582 | + | 0.772855i | \(0.718828\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.2052 | + | 11.6830i | −0.972595 | + | 0.402862i | ||||
\(842\) | 5.60561 | + | 15.0376i | 0.193182 | + | 0.518231i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.7292 | + | 24.1305i | 0.472580 | + | 0.830605i | ||||
\(845\) | −6.20603 | + | 9.28798i | −0.213494 | + | 0.319516i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.5054 | + | 11.5054i | 0.395331 | + | 0.395331i | ||||
\(848\) | 9.50891 | − | 4.54086i | 0.326537 | − | 0.155934i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 9.48649 | − | 1.53547i | 0.325384 | − | 0.0526661i | ||||
\(851\) | −10.0229 | − | 6.69709i | −0.343581 | − | 0.229573i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 42.7816 | + | 8.50979i | 1.46481 | + | 0.291370i | 0.862161 | − | 0.506634i | \(-0.169110\pi\) |
0.602653 | + | 0.798003i | \(0.294110\pi\) | |||||||
\(854\) | −38.5192 | + | 84.3044i | −1.31810 | + | 2.88484i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.96882 | − | 6.41447i | 0.272369 | − | 0.219242i | ||||
\(857\) | −21.1682 | + | 51.1045i | −0.723091 | + | 1.74570i | −0.0587410 | + | 0.998273i | \(0.518709\pi\) |
−0.664350 | + | 0.747422i | \(0.731291\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 30.3027 | − | 20.2476i | 1.03392 | − | 0.690840i | 0.0818217 | − | 0.996647i | \(-0.473926\pi\) |
0.952094 | + | 0.305807i | \(0.0989262\pi\) | |||||||
\(860\) | −1.63191 | + | 22.7004i | −0.0556478 | + | 0.774076i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 20.4493 | + | 33.1179i | 0.696505 | + | 1.12800i | ||||
\(863\) | 45.1415i | 1.53663i | 0.640070 | + | 0.768317i | \(0.278905\pi\) | ||||
−0.640070 | + | 0.768317i | \(0.721095\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | − | 29.2649i | − | 0.995036i | ||||||
\(866\) | 42.9294 | − | 26.5076i | 1.45880 | − | 0.900765i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 26.9504 | − | 23.3354i | 0.914755 | − | 0.792054i | ||||
\(869\) | −18.6175 | + | 12.4398i | −0.631555 | + | 0.421992i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.72727 | + | 6.58420i | −0.0924099 | + | 0.223097i | ||||
\(872\) | −24.8749 | + | 7.28910i | −0.842370 | + | 0.246840i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 5.26165 | + | 2.40408i | 0.177978 | + | 0.0813193i | ||||
\(875\) | 58.3829 | + | 11.6131i | 1.97370 | + | 0.392594i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.73879 | − | 5.83907i | −0.295088 | − | 0.197171i | 0.399209 | − | 0.916860i | \(-0.369285\pi\) |
−0.694297 | + | 0.719688i | \(0.744285\pi\) | |||||||
\(878\) | 6.49093 | + | 40.1026i | 0.219058 | + | 1.35340i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 16.5924 | + | 9.86114i | 0.559328 | + | 0.332419i | ||||
\(881\) | 22.1067 | + | 22.1067i | 0.744795 | + | 0.744795i | 0.973496 | − | 0.228702i | \(-0.0734481\pi\) |
−0.228702 | + | 0.973496i | \(0.573448\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 0.0585565 | − | 0.0876360i | 0.00197058 | − | 0.00294919i | −0.830483 | − | 0.557044i | \(-0.811935\pi\) |
0.832454 | + | 0.554095i | \(0.186935\pi\) | |||||||
\(884\) | −4.69000 | + | 17.0713i | −0.157742 | + | 0.574170i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.0110150 | − | 0.00410608i | 0.000370056 | − | 0.000137947i | ||||
\(887\) | 14.2474 | − | 5.90145i | 0.478380 | − | 0.198151i | −0.130446 | − | 0.991455i | \(-0.541641\pi\) |
0.608826 | + | 0.793304i | \(0.291641\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 37.5698 | + | 15.5619i | 1.26005 | + | 0.521930i | ||||
\(890\) | 0.806318 | − | 22.4611i | 0.0270278 | − | 0.752899i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.64703 | − | 11.2710i | 0.189077 | − | 0.377382i | ||||
\(893\) | 11.2707 | − | 2.24188i | 0.377159 | − | 0.0750216i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.6287 | 1.05723 | ||||||||
\(896\) | 50.0419 | + | 24.0208i | 1.67178 | + | 0.802477i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.53701 | − | 19.1840i | 0.151402 | − | 0.640178i | ||||
\(899\) | −27.4918 | + | 5.46846i | −0.916904 | + | 0.182383i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −5.04939 | − | 7.55695i | −0.168220 | − | 0.251758i | ||||
\(902\) | −0.340489 | + | 9.48482i | −0.0113371 | + | 0.315810i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 36.8753 | − | 3.27947i | 1.22646 | − | 0.109074i | ||||
\(905\) | 10.9686 | − | 4.54336i | 0.364610 | − | 0.151026i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.20851 | + | 21.1576i | −0.139741 | + | 0.702527i | 0.845855 | + | 0.533413i | \(0.179091\pi\) |
−0.985596 | + | 0.169114i | \(0.945909\pi\) | |||||||
\(908\) | −9.41759 | + | 34.2794i | −0.312534 | + | 1.13760i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −18.1309 | + | 25.1336i | −0.601033 | + | 0.833171i | ||||
\(911\) | −29.1379 | − | 29.1379i | −0.965382 | − | 0.965382i | 0.0340388 | − | 0.999421i | \(-0.489163\pi\) |
−0.999421 | + | 0.0340388i | \(0.989163\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.4659 | + | 24.4659i | −0.809703 | + | 0.809703i | ||||
\(914\) | −3.33207 | − | 20.5863i | −0.110215 | − | 0.680936i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −18.2654 | + | 2.28742i | −0.603507 | + | 0.0755786i | ||||
\(917\) | −62.9352 | − | 12.5186i | −2.07830 | − | 0.413400i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.4221 | − | 37.2322i | −0.508727 | − | 1.22818i | −0.944617 | − | 0.328176i | \(-0.893566\pi\) |
0.435889 | − | 0.900000i | \(-0.356434\pi\) | |||||||
\(920\) | 2.49993 | + | 8.53130i | 0.0824202 | + | 0.281269i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −28.7272 | − | 30.8665i | −0.946079 | − | 1.01653i | ||||
\(923\) | −9.64332 | + | 6.44346i | −0.317414 | + | 0.212089i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.56541 | + | 12.8972i | 0.0843500 | + | 0.424056i | ||||
\(926\) | 12.4482 | − | 7.68636i | 0.409072 | − | 0.252590i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −24.8592 | − | 35.8741i | −0.816044 | − | 1.17763i | ||||
\(929\) | 9.25514i | 0.303651i | 0.988407 | + | 0.151826i | \(0.0485152\pi\) | ||||
−0.988407 | + | 0.151826i | \(0.951485\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.54541 | − | 37.9333i | −0.247291 | − | 1.24321i | ||||
\(932\) | −1.96516 | + | 27.3359i | −0.0643709 | + | 0.895416i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −33.1572 | + | 30.8591i | −1.08494 | + | 1.00974i | ||||
\(935\) | 6.37080 | − | 15.3805i | 0.208347 | − | 0.502995i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.35348 | + | 5.68181i | 0.0768850 | + | 0.185617i | 0.957649 | − | 0.287939i | \(-0.0929701\pi\) |
−0.880764 | + | 0.473556i | \(0.842970\pi\) | |||||||
\(938\) | 8.00938 | − | 17.5296i | 0.261515 | − | 0.572362i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 13.9423 | + | 10.8389i | 0.454748 | + | 0.353526i | ||||
\(941\) | −34.8411 | − | 23.2801i | −1.13579 | − | 0.758908i | −0.162094 | − | 0.986775i | \(-0.551825\pi\) |
−0.973692 | + | 0.227867i | \(0.926825\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.09105 | + | 3.09105i | −0.100658 | + | 0.100658i | ||||
\(944\) | 12.9699 | − | 36.6794i | 0.422136 | − | 1.19381i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.7824 | − | 14.9920i | −0.675693 | − | 0.487432i | ||||
\(947\) | 13.4472 | − | 20.1252i | 0.436975 | − | 0.653980i | −0.545986 | − | 0.837795i | \(-0.683845\pi\) |
0.982961 | + | 0.183815i | \(0.0588447\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.96290 | + | 14.8955i | −0.0961797 | + | 0.483528i | ||||
\(950\) | −2.20422 | − | 5.91306i | −0.0715144 | − | 0.191845i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 14.3312 | − | 45.6812i | 0.464478 | − | 1.48054i | ||||
\(953\) | −20.7537 | − | 8.59648i | −0.672279 | − | 0.278467i | 0.0203159 | − | 0.999794i | \(-0.493533\pi\) |
−0.692595 | + | 0.721326i | \(0.743533\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.99459 | − | 5.97833i | −0.129262 | − | 0.193454i | ||||
\(956\) | 22.5213 | − | 7.48665i | 0.728391 | − | 0.242136i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −33.3415 | − | 7.88524i | −1.07721 | − | 0.254761i | ||||
\(959\) | 18.1782 | 0.587005 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 17.8013 | 0.574237 | ||||||||
\(962\) | −23.5748 | − | 5.57543i | −0.760082 | − | 0.179759i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.54891 | − | 10.6758i | −0.114303 | − | 0.343844i | ||||
\(965\) | 2.65959 | + | 3.98036i | 0.0856154 | + | 0.128132i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −28.9735 | − | 12.0012i | −0.931724 | − | 0.385933i | −0.135392 | − | 0.990792i | \(-0.543229\pi\) |
−0.796332 | + | 0.604859i | \(0.793229\pi\) | |||||||
\(968\) | 8.31403 | − | 4.34318i | 0.267223 | − | 0.139595i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.23900 | + | 22.1020i | 0.264538 | + | 0.709651i | ||||
\(971\) | −5.69005 | + | 28.6058i | −0.182602 | + | 0.918004i | 0.775450 | + | 0.631409i | \(0.217523\pi\) |
−0.958052 | + | 0.286595i | \(0.907477\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −53.4360 | + | 79.9726i | −1.71308 | + | 2.56380i | ||||
\(974\) | 36.8500 | + | 26.5828i | 1.18075 | + | 0.851769i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 39.7250 | + | 35.7356i | 1.27157 | + | 1.14387i | ||||
\(977\) | −36.4851 | + | 36.4851i | −1.16726 | + | 1.16726i | −0.184412 | + | 0.982849i | \(0.559038\pi\) |
−0.982849 | + | 0.184412i | \(0.940962\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.0416 | + | 14.0595i | 0.672491 | + | 0.449344i | ||||
\(980\) | 36.4801 | − | 46.9252i | 1.16531 | − | 1.49897i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.6381 | + | 23.2829i | −0.339476 | + | 0.742988i | ||||
\(983\) | −1.68976 | − | 4.07944i | −0.0538950 | − | 0.130114i | 0.894639 | − | 0.446790i | \(-0.147433\pi\) |
−0.948534 | + | 0.316676i | \(0.897433\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.83063 | + | 4.41953i | −0.0583287 | + | 0.140818i | ||||
\(986\) | −27.5565 | + | 25.6466i | −0.877579 | + | 0.816755i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.5956 | + | 0.833599i | 0.368905 | + | 0.0265203i | ||||
\(989\) | −2.30261 | − | 11.5760i | −0.0732187 | − | 0.368095i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.8887i | 0.695318i | 0.937621 | + | 0.347659i | \(0.113023\pi\) | ||||
−0.937621 | + | 0.347659i | \(0.886977\pi\) | |||||||
\(992\) | −8.18505 | − | 18.8510i | −0.259875 | − | 0.598521i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 26.6868 | − | 16.4783i | 0.846453 | − | 0.522659i | ||||
\(995\) | 0.305673 | + | 1.53672i | 0.00969049 | + | 0.0487174i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −24.5633 | + | 16.4127i | −0.777927 | + | 0.519794i | −0.879995 | − | 0.474983i | \(-0.842454\pi\) |
0.102068 | + | 0.994777i | \(0.467454\pi\) | |||||||
\(998\) | 27.3217 | + | 29.3564i | 0.864854 | + | 0.929260i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 576.2.bd.a.181.3 | 56 | ||
3.2 | odd | 2 | 64.2.i.a.53.5 | yes | 56 | ||
12.11 | even | 2 | 256.2.i.a.49.4 | 56 | |||
24.5 | odd | 2 | 512.2.i.b.353.4 | 56 | |||
24.11 | even | 2 | 512.2.i.a.353.4 | 56 | |||
64.29 | even | 16 | inner | 576.2.bd.a.541.3 | 56 | ||
192.29 | odd | 16 | 64.2.i.a.29.5 | ✓ | 56 | ||
192.35 | even | 16 | 256.2.i.a.209.4 | 56 | |||
192.125 | odd | 16 | 512.2.i.b.161.4 | 56 | |||
192.131 | even | 16 | 512.2.i.a.161.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.29.5 | ✓ | 56 | 192.29 | odd | 16 | ||
64.2.i.a.53.5 | yes | 56 | 3.2 | odd | 2 | ||
256.2.i.a.49.4 | 56 | 12.11 | even | 2 | |||
256.2.i.a.209.4 | 56 | 192.35 | even | 16 | |||
512.2.i.a.161.4 | 56 | 192.131 | even | 16 | |||
512.2.i.a.353.4 | 56 | 24.11 | even | 2 | |||
512.2.i.b.161.4 | 56 | 192.125 | odd | 16 | |||
512.2.i.b.353.4 | 56 | 24.5 | odd | 2 | |||
576.2.bd.a.181.3 | 56 | 1.1 | even | 1 | trivial | ||
576.2.bd.a.541.3 | 56 | 64.29 | even | 16 | inner |