Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 701.1 | ||
Root | \(-0.766044 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.701 |
Dual form | 950.2.l.f.351.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 1.17365 | + | 0.984808i | 0.677606 | + | 0.568579i | 0.915306 | − | 0.402760i | \(-0.131949\pi\) |
−0.237700 | + | 0.971339i | \(0.576393\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.17365 | + | 0.984808i | −0.479140 | + | 0.402046i | ||||
\(7\) | −0.939693 | − | 1.62760i | −0.355170 | − | 0.615173i | 0.631977 | − | 0.774987i | \(-0.282244\pi\) |
−0.987147 | + | 0.159814i | \(0.948910\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.113341 | − | 0.642788i | −0.0377803 | − | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0812519 | − | 0.140732i | 0.0244984 | − | 0.0424324i | −0.853516 | − | 0.521066i | \(-0.825534\pi\) |
0.878015 | + | 0.478634i | \(0.158868\pi\) | |||||||
\(12\) | −0.766044 | − | 1.32683i | −0.221138 | − | 0.383022i | ||||
\(13\) | 3.61334 | − | 3.03195i | 1.00216 | − | 0.840912i | 0.0148781 | − | 0.999889i | \(-0.495264\pi\) |
0.987282 | + | 0.158977i | \(0.0508195\pi\) | |||||||
\(14\) | 1.76604 | − | 0.642788i | 0.471995 | − | 0.171792i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.754900 | − | 4.28125i | 0.183090 | − | 1.03836i | −0.745295 | − | 0.666735i | \(-0.767691\pi\) |
0.928385 | − | 0.371621i | \(-0.121198\pi\) | |||||||
\(18\) | 0.652704 | 0.153844 | ||||||||
\(19\) | 2.77719 | + | 3.35965i | 0.637131 | + | 0.770756i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.500000 | − | 2.83564i | 0.109109 | − | 0.618788i | ||||
\(22\) | 0.124485 | + | 0.104455i | 0.0265403 | + | 0.0222700i | ||||
\(23\) | 5.73783 | + | 2.08840i | 1.19642 | + | 0.435461i | 0.861973 | − | 0.506954i | \(-0.169229\pi\) |
0.334446 | + | 0.942415i | \(0.391451\pi\) | |||||||
\(24\) | 1.43969 | − | 0.524005i | 0.293876 | − | 0.106962i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.35844 | + | 4.08494i | 0.462528 | + | 0.801122i | ||||
\(27\) | 2.79813 | − | 4.84651i | 0.538501 | − | 0.932711i | ||||
\(28\) | 0.326352 | + | 1.85083i | 0.0616747 | + | 0.349775i | ||||
\(29\) | 0.414878 | + | 2.35289i | 0.0770409 | + | 0.436920i | 0.998792 | + | 0.0491384i | \(0.0156475\pi\) |
−0.921751 | + | 0.387782i | \(0.873241\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.81908 | + | 3.15074i | 0.326716 | + | 0.565889i | 0.981858 | − | 0.189617i | \(-0.0607246\pi\) |
−0.655142 | + | 0.755506i | \(0.727391\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 0.233956 | − | 0.0851529i | 0.0407264 | − | 0.0148232i | ||||
\(34\) | 4.08512 | + | 1.48686i | 0.700593 | + | 0.254995i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.113341 | + | 0.642788i | −0.0188901 | + | 0.107131i | ||||
\(37\) | −7.36959 | −1.21155 | −0.605776 | − | 0.795635i | \(-0.707137\pi\) | ||||
−0.605776 | + | 0.795635i | \(0.707137\pi\) | |||||||
\(38\) | −3.79086 | + | 2.15160i | −0.614959 | + | 0.349036i | ||||
\(39\) | 7.22668 | 1.15720 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.81521 | + | 1.52314i | 0.283488 | + | 0.237874i | 0.773432 | − | 0.633879i | \(-0.218538\pi\) |
−0.489944 | + | 0.871754i | \(0.662983\pi\) | |||||||
\(42\) | 2.70574 | + | 0.984808i | 0.417504 | + | 0.151959i | ||||
\(43\) | 0.613341 | − | 0.223238i | 0.0935336 | − | 0.0340434i | −0.294830 | − | 0.955550i | \(-0.595263\pi\) |
0.388363 | + | 0.921506i | \(0.373041\pi\) | |||||||
\(44\) | −0.124485 | + | 0.104455i | −0.0187668 | + | 0.0157473i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.05303 | + | 5.28801i | −0.450145 | + | 0.779674i | ||||
\(47\) | −1.19459 | − | 6.77487i | −0.174249 | − | 0.988217i | −0.939007 | − | 0.343899i | \(-0.888252\pi\) |
0.764758 | − | 0.644318i | \(-0.222859\pi\) | |||||||
\(48\) | 0.266044 | + | 1.50881i | 0.0384002 | + | 0.217778i | ||||
\(49\) | 1.73396 | − | 3.00330i | 0.247708 | − | 0.429043i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.10220 | − | 4.28125i | 0.714450 | − | 0.599495i | ||||
\(52\) | −4.43242 | + | 1.61327i | −0.614666 | + | 0.223720i | ||||
\(53\) | 5.58512 | + | 2.03282i | 0.767176 | + | 0.279229i | 0.695815 | − | 0.718221i | \(-0.255044\pi\) |
0.0713610 | + | 0.997451i | \(0.477266\pi\) | |||||||
\(54\) | 4.28699 | + | 3.59721i | 0.583385 | + | 0.489518i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.87939 | −0.251143 | ||||||||
\(57\) | −0.0491630 | + | 6.67804i | −0.00651180 | + | 0.884528i | ||||
\(58\) | −2.38919 | −0.313715 | ||||||||
\(59\) | −0.708263 | + | 4.01676i | −0.0922080 | + | 0.522938i | 0.903359 | + | 0.428885i | \(0.141093\pi\) |
−0.995567 | + | 0.0940529i | \(0.970018\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.21301 | − | 0.805470i | −0.283347 | − | 0.103130i | 0.196437 | − | 0.980516i | \(-0.437063\pi\) |
−0.479784 | + | 0.877387i | \(0.659285\pi\) | |||||||
\(62\) | −3.41875 | + | 1.24432i | −0.434181 | + | 0.158029i | ||||
\(63\) | −0.939693 | + | 0.788496i | −0.118390 | + | 0.0993411i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.0432332 | + | 0.245188i | 0.00532164 | + | 0.0301805i | ||||
\(67\) | −0.284463 | − | 1.61327i | −0.0347527 | − | 0.197092i | 0.962488 | − | 0.271323i | \(-0.0874610\pi\) |
−0.997241 | + | 0.0742305i | \(0.976350\pi\) | |||||||
\(68\) | −2.17365 | + | 3.76487i | −0.263594 | + | 0.456557i | ||||
\(69\) | 4.67752 | + | 8.10170i | 0.563107 | + | 0.975330i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.39780 | − | 0.872729i | 0.284567 | − | 0.103574i | −0.195793 | − | 0.980645i | \(-0.562728\pi\) |
0.480360 | + | 0.877071i | \(0.340506\pi\) | |||||||
\(72\) | −0.613341 | − | 0.223238i | −0.0722829 | − | 0.0263088i | ||||
\(73\) | −12.0287 | − | 10.0933i | −1.40785 | − | 1.18133i | −0.957485 | − | 0.288483i | \(-0.906849\pi\) |
−0.450366 | − | 0.892844i | \(-0.648707\pi\) | |||||||
\(74\) | 1.27972 | − | 7.25762i | 0.148764 | − | 0.843682i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.46064 | − | 4.10689i | −0.167547 | − | 0.471093i | ||||
\(77\) | −0.305407 | −0.0348044 | ||||||||
\(78\) | −1.25490 | + | 7.11689i | −0.142089 | + | 0.805829i | ||||
\(79\) | −0.766044 | − | 0.642788i | −0.0861867 | − | 0.0723193i | 0.598676 | − | 0.800991i | \(-0.295694\pi\) |
−0.684863 | + | 0.728672i | \(0.740138\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.21688 | − | 2.26276i | 0.690765 | − | 0.251418i | ||||
\(82\) | −1.81521 | + | 1.52314i | −0.200456 | + | 0.168203i | ||||
\(83\) | −0.511144 | − | 0.885328i | −0.0561054 | − | 0.0971774i | 0.836609 | − | 0.547801i | \(-0.184535\pi\) |
−0.892714 | + | 0.450624i | \(0.851202\pi\) | |||||||
\(84\) | −1.43969 | + | 2.49362i | −0.157083 | + | 0.272076i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.113341 | + | 0.642788i | 0.0122219 | + | 0.0693136i | ||||
\(87\) | −1.83022 | + | 3.17004i | −0.196220 | + | 0.339864i | ||||
\(88\) | −0.0812519 | − | 0.140732i | −0.00866148 | − | 0.0150021i | ||||
\(89\) | −2.57011 | + | 2.15658i | −0.272431 | + | 0.228597i | −0.768759 | − | 0.639538i | \(-0.779126\pi\) |
0.496328 | + | 0.868135i | \(0.334681\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.33022 | − | 3.03195i | −0.873245 | − | 0.317835i | ||||
\(92\) | −4.67752 | − | 3.92490i | −0.487665 | − | 0.409200i | ||||
\(93\) | −0.967911 | + | 5.48930i | −0.100368 | + | 0.569214i | ||||
\(94\) | 6.87939 | 0.709554 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.53209 | −0.156368 | ||||||||
\(97\) | −3.10354 | + | 17.6011i | −0.315117 | + | 1.78712i | 0.256447 | + | 0.966558i | \(0.417448\pi\) |
−0.571563 | + | 0.820558i | \(0.693663\pi\) | |||||||
\(98\) | 2.65657 | + | 2.22913i | 0.268355 | + | 0.225176i | ||||
\(99\) | −0.0996702 | − | 0.0362770i | −0.0100172 | − | 0.00364598i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.82295 | − | 5.72513i | 0.678909 | − | 0.569672i | −0.236779 | − | 0.971564i | \(-0.576092\pi\) |
0.915687 | + | 0.401892i | \(0.131647\pi\) | |||||||
\(102\) | 3.33022 | + | 5.76811i | 0.329741 | + | 0.571128i | ||||
\(103\) | 4.12449 | − | 7.14382i | 0.406398 | − | 0.703901i | −0.588085 | − | 0.808799i | \(-0.700118\pi\) |
0.994483 | + | 0.104898i | \(0.0334515\pi\) | |||||||
\(104\) | −0.819078 | − | 4.64522i | −0.0803172 | − | 0.455501i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.97178 | + | 5.14728i | −0.288645 | + | 0.499948i | ||||
\(107\) | 1.83022 | + | 3.17004i | 0.176934 | + | 0.306459i | 0.940829 | − | 0.338882i | \(-0.110049\pi\) |
−0.763895 | + | 0.645341i | \(0.776715\pi\) | |||||||
\(108\) | −4.28699 | + | 3.59721i | −0.412516 | + | 0.346142i | ||||
\(109\) | −3.03936 | + | 1.10624i | −0.291118 | + | 0.105958i | −0.483451 | − | 0.875371i | \(-0.660617\pi\) |
0.192333 | + | 0.981330i | \(0.438395\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −8.64930 | − | 7.25762i | −0.820955 | − | 0.688863i | ||||
\(112\) | 0.326352 | − | 1.85083i | 0.0308373 | − | 0.174887i | ||||
\(113\) | 15.1753 | 1.42757 | 0.713786 | − | 0.700364i | \(-0.246979\pi\) | ||||
0.713786 | + | 0.700364i | \(0.246979\pi\) | |||||||
\(114\) | −6.56805 | − | 1.20805i | −0.615154 | − | 0.113144i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.414878 | − | 2.35289i | 0.0385204 | − | 0.218460i | ||||
\(117\) | −2.35844 | − | 1.97897i | −0.218038 | − | 0.182956i | ||||
\(118\) | −3.83275 | − | 1.39501i | −0.352833 | − | 0.128421i | ||||
\(119\) | −7.67752 | + | 2.79439i | −0.703797 | + | 0.256161i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.48680 | + | 9.50341i | 0.498800 | + | 0.863946i | ||||
\(122\) | 1.17752 | − | 2.03952i | 0.106608 | − | 0.184650i | ||||
\(123\) | 0.630415 | + | 3.57526i | 0.0568426 | + | 0.322370i | ||||
\(124\) | −0.631759 | − | 3.58288i | −0.0567336 | − | 0.321752i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.613341 | − | 1.06234i | −0.0546407 | − | 0.0946405i | ||||
\(127\) | 15.2815 | − | 12.8227i | 1.35602 | − | 1.13783i | 0.378826 | − | 0.925468i | \(-0.376328\pi\) |
0.977191 | − | 0.212365i | \(-0.0681164\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 0.939693 | + | 0.342020i | 0.0827353 | + | 0.0301132i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.93376 | + | 16.6382i | −0.256324 | + | 1.45369i | 0.536327 | + | 0.844010i | \(0.319811\pi\) |
−0.792651 | + | 0.609676i | \(0.791300\pi\) | |||||||
\(132\) | −0.248970 | −0.0216701 | ||||||||
\(133\) | 2.85844 | − | 7.67717i | 0.247858 | − | 0.665695i | ||||
\(134\) | 1.63816 | 0.141515 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.33022 | − | 2.79439i | −0.285564 | − | 0.239617i | ||||
\(137\) | −4.67752 | − | 1.70248i | −0.399627 | − | 0.145452i | 0.134385 | − | 0.990929i | \(-0.457094\pi\) |
−0.534012 | + | 0.845477i | \(0.679316\pi\) | |||||||
\(138\) | −8.79086 | + | 3.19961i | −0.748328 | + | 0.272369i | ||||
\(139\) | −14.3439 | + | 12.0360i | −1.21663 | + | 1.02088i | −0.217639 | + | 0.976029i | \(0.569836\pi\) |
−0.998994 | + | 0.0448471i | \(0.985720\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.26991 | − | 9.12776i | 0.443807 | − | 0.768696i | ||||
\(142\) | 0.443096 | + | 2.51292i | 0.0371838 | + | 0.210880i | ||||
\(143\) | −0.133103 | − | 0.754866i | −0.0111307 | − | 0.0631251i | ||||
\(144\) | 0.326352 | − | 0.565258i | 0.0271960 | − | 0.0471048i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 12.0287 | − | 10.0933i | 0.995501 | − | 0.835325i | ||||
\(147\) | 4.99273 | − | 1.81720i | 0.411793 | − | 0.149880i | ||||
\(148\) | 6.92514 | + | 2.52055i | 0.569243 | + | 0.207188i | ||||
\(149\) | −10.2476 | − | 8.59878i | −0.839518 | − | 0.704439i | 0.117937 | − | 0.993021i | \(-0.462372\pi\) |
−0.957455 | + | 0.288582i | \(0.906816\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −14.8648 | −1.20968 | −0.604842 | − | 0.796346i | \(-0.706764\pi\) | ||||
−0.604842 | + | 0.796346i | \(0.706764\pi\) | |||||||
\(152\) | 4.29813 | − | 0.725293i | 0.348625 | − | 0.0588290i | ||||
\(153\) | −2.83750 | −0.229398 | ||||||||
\(154\) | 0.0530334 | − | 0.300767i | 0.00427355 | − | 0.0242365i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −6.79086 | − | 2.47167i | −0.543704 | − | 0.197892i | ||||
\(157\) | −6.99912 | + | 2.54747i | −0.558591 | + | 0.203310i | −0.605859 | − | 0.795572i | \(-0.707171\pi\) |
0.0472685 | + | 0.998882i | \(0.484948\pi\) | |||||||
\(158\) | 0.766044 | − | 0.642788i | 0.0609432 | − | 0.0511374i | ||||
\(159\) | 4.55303 | + | 7.88609i | 0.361079 | + | 0.625407i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.99273 | − | 11.3013i | −0.157049 | − | 0.890668i | ||||
\(162\) | 1.14883 | + | 6.51536i | 0.0902609 | + | 0.511895i | ||||
\(163\) | 3.37598 | − | 5.84737i | 0.264427 | − | 0.458002i | −0.702986 | − | 0.711204i | \(-0.748150\pi\) |
0.967413 | + | 0.253202i | \(0.0814837\pi\) | |||||||
\(164\) | −1.18479 | − | 2.05212i | −0.0925168 | − | 0.160244i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.960637 | − | 0.349643i | 0.0745599 | − | 0.0271376i | ||||
\(167\) | 15.2738 | + | 5.55920i | 1.18192 | + | 0.430184i | 0.856880 | − | 0.515516i | \(-0.172400\pi\) |
0.325041 | + | 0.945700i | \(0.394622\pi\) | |||||||
\(168\) | −2.20574 | − | 1.85083i | −0.170176 | − | 0.142795i | ||||
\(169\) | 1.60607 | − | 9.10846i | 0.123544 | − | 0.700651i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.84477 | − | 2.16593i | 0.141073 | − | 0.165633i | ||||
\(172\) | −0.652704 | −0.0497682 | ||||||||
\(173\) | 0.979055 | − | 5.55250i | 0.0744362 | − | 0.422149i | −0.924704 | − | 0.380687i | \(-0.875687\pi\) |
0.999140 | − | 0.0414616i | \(-0.0132014\pi\) | |||||||
\(174\) | −2.80406 | − | 2.35289i | −0.212575 | − | 0.178372i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.152704 | − | 0.0555796i | 0.0115105 | − | 0.00418947i | ||||
\(177\) | −4.78699 | + | 4.01676i | −0.359812 | + | 0.301918i | ||||
\(178\) | −1.67752 | − | 2.90555i | −0.125735 | − | 0.217780i | ||||
\(179\) | −5.74763 | + | 9.95518i | −0.429598 | + | 0.744085i | −0.996837 | − | 0.0794676i | \(-0.974678\pi\) |
0.567240 | + | 0.823553i | \(0.308011\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.61200 | + | 14.8134i | 0.194148 | + | 1.10107i | 0.913627 | + | 0.406554i | \(0.133270\pi\) |
−0.719478 | + | 0.694515i | \(0.755619\pi\) | |||||||
\(182\) | 4.43242 | − | 7.67717i | 0.328553 | − | 0.569070i | ||||
\(183\) | −1.80406 | − | 3.12473i | −0.133360 | − | 0.230987i | ||||
\(184\) | 4.67752 | − | 3.92490i | 0.344831 | − | 0.289348i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −5.23783 | − | 1.90641i | −0.384056 | − | 0.139785i | ||||
\(187\) | −0.541174 | − | 0.454099i | −0.0395746 | − | 0.0332070i | ||||
\(188\) | −1.19459 | + | 6.77487i | −0.0871246 | + | 0.494108i | ||||
\(189\) | −10.5175 | −0.765039 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 20.2131 | 1.46257 | 0.731283 | − | 0.682074i | \(-0.238922\pi\) | ||||
0.731283 | + | 0.682074i | \(0.238922\pi\) | |||||||
\(192\) | 0.266044 | − | 1.50881i | 0.0192001 | − | 0.108889i | ||||
\(193\) | −7.71941 | − | 6.47735i | −0.555655 | − | 0.466250i | 0.321196 | − | 0.947013i | \(-0.395915\pi\) |
−0.876851 | + | 0.480763i | \(0.840360\pi\) | |||||||
\(194\) | −16.7947 | − | 6.11278i | −1.20579 | − | 0.438872i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.65657 | + | 2.22913i | −0.189755 | + | 0.159224i | ||||
\(197\) | 6.54916 | + | 11.3435i | 0.466609 | + | 0.808190i | 0.999273 | − | 0.0381371i | \(-0.0121424\pi\) |
−0.532664 | + | 0.846327i | \(0.678809\pi\) | |||||||
\(198\) | 0.0530334 | − | 0.0918566i | 0.00376892 | − | 0.00652796i | ||||
\(199\) | −3.05257 | − | 17.3120i | −0.216391 | − | 1.22721i | −0.878477 | − | 0.477785i | \(-0.841440\pi\) |
0.662086 | − | 0.749428i | \(-0.269671\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.25490 | − | 2.17355i | 0.0885138 | − | 0.153310i | ||||
\(202\) | 4.45336 | + | 7.71345i | 0.313338 | + | 0.542717i | ||||
\(203\) | 3.43969 | − | 2.88624i | 0.241419 | − | 0.202575i | ||||
\(204\) | −6.25877 | + | 2.27801i | −0.438202 | + | 0.159492i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.31908 | + | 5.30234i | 0.440271 | + | 0.369431i | ||||
\(207\) | 0.692066 | − | 3.92490i | 0.0481019 | − | 0.272800i | ||||
\(208\) | 4.71688 | 0.327057 | ||||||||
\(209\) | 0.698463 | − | 0.117863i | 0.0483137 | − | 0.00815275i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.29561 | + | 24.3616i | −0.295722 | + | 1.67712i | 0.368532 | + | 0.929615i | \(0.379860\pi\) |
−0.664254 | + | 0.747507i | \(0.731251\pi\) | |||||||
\(212\) | −4.55303 | − | 3.82045i | −0.312704 | − | 0.262389i | ||||
\(213\) | 3.67365 | + | 1.33710i | 0.251714 | + | 0.0916165i | ||||
\(214\) | −3.43969 | + | 1.25195i | −0.235133 | + | 0.0855812i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.79813 | − | 4.84651i | −0.190389 | − | 0.329763i | ||||
\(217\) | 3.41875 | − | 5.92145i | 0.232080 | − | 0.401974i | ||||
\(218\) | −0.561652 | − | 3.18528i | −0.0380398 | − | 0.215735i | ||||
\(219\) | −4.17752 | − | 23.6919i | −0.282291 | − | 1.60095i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −10.2528 | − | 17.7584i | −0.689681 | − | 1.19456i | ||||
\(222\) | 8.64930 | − | 7.25762i | 0.580503 | − | 0.487100i | ||||
\(223\) | −14.2836 | + | 5.19880i | −0.956500 | + | 0.348137i | −0.772661 | − | 0.634819i | \(-0.781075\pi\) |
−0.183839 | + | 0.982956i | \(0.558852\pi\) | |||||||
\(224\) | 1.76604 | + | 0.642788i | 0.117999 | + | 0.0429481i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.63516 | + | 14.9448i | −0.175288 | + | 0.994110i | ||||
\(227\) | 18.6973 | 1.24098 | 0.620491 | − | 0.784214i | \(-0.286933\pi\) | ||||
0.620491 | + | 0.784214i | \(0.286933\pi\) | |||||||
\(228\) | 2.33022 | − | 6.25849i | 0.154323 | − | 0.414479i | ||||
\(229\) | −19.9094 | −1.31565 | −0.657826 | − | 0.753170i | \(-0.728524\pi\) | ||||
−0.657826 | + | 0.753170i | \(0.728524\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.358441 | − | 0.300767i | −0.0235837 | − | 0.0197890i | ||||
\(232\) | 2.24510 | + | 0.817150i | 0.147398 | + | 0.0536485i | ||||
\(233\) | −26.2913 | + | 9.56926i | −1.72240 | + | 0.626903i | −0.998044 | − | 0.0625206i | \(-0.980086\pi\) |
−0.724358 | + | 0.689424i | \(0.757864\pi\) | |||||||
\(234\) | 2.35844 | − | 1.97897i | 0.154176 | − | 0.129369i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.03936 | − | 3.53228i | 0.132751 | − | 0.229932i | ||||
\(237\) | −0.266044 | − | 1.50881i | −0.0172814 | − | 0.0980079i | ||||
\(238\) | −1.41875 | − | 8.04612i | −0.0919638 | − | 0.521553i | ||||
\(239\) | 13.1814 | − | 22.8308i | 0.852633 | − | 1.47680i | −0.0261903 | − | 0.999657i | \(-0.508338\pi\) |
0.878823 | − | 0.477147i | \(-0.158329\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.1570 | − | 11.0401i | 0.847520 | − | 0.711153i | −0.111722 | − | 0.993739i | \(-0.535637\pi\) |
0.959242 | + | 0.282586i | \(0.0911923\pi\) | |||||||
\(242\) | −10.3118 | + | 3.75319i | −0.662868 | + | 0.241264i | ||||
\(243\) | −6.25150 | − | 2.27536i | −0.401034 | − | 0.145964i | ||||
\(244\) | 1.80406 | + | 1.51379i | 0.115493 | + | 0.0969104i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −3.63041 | −0.231467 | ||||||||
\(247\) | 20.2212 | + | 3.71924i | 1.28665 | + | 0.236650i | ||||
\(248\) | 3.63816 | 0.231023 | ||||||||
\(249\) | 0.271974 | − | 1.54244i | 0.0172357 | − | 0.0977483i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −15.1211 | − | 5.50362i | −0.954434 | − | 0.347386i | −0.182584 | − | 0.983190i | \(-0.558446\pi\) |
−0.771850 | + | 0.635805i | \(0.780668\pi\) | |||||||
\(252\) | 1.15270 | − | 0.419550i | 0.0726135 | − | 0.0264292i | ||||
\(253\) | 0.760115 | − | 0.637812i | 0.0477880 | − | 0.0400989i | ||||
\(254\) | 9.97431 | + | 17.2760i | 0.625844 | + | 1.08399i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −2.45605 | − | 13.9290i | −0.153204 | − | 0.868865i | −0.960409 | − | 0.278593i | \(-0.910132\pi\) |
0.807205 | − | 0.590271i | \(-0.200979\pi\) | |||||||
\(258\) | −0.500000 | + | 0.866025i | −0.0311286 | + | 0.0539164i | ||||
\(259\) | 6.92514 | + | 11.9947i | 0.430308 | + | 0.745315i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.46538 | − | 0.533356i | 0.0907050 | − | 0.0330139i | ||||
\(262\) | −15.8760 | − | 5.77838i | −0.980821 | − | 0.356990i | ||||
\(263\) | −10.0517 | − | 8.43437i | −0.619814 | − | 0.520085i | 0.277931 | − | 0.960601i | \(-0.410351\pi\) |
−0.897745 | + | 0.440515i | \(0.854796\pi\) | |||||||
\(264\) | 0.0432332 | − | 0.245188i | 0.00266082 | − | 0.0150903i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 7.06418 | + | 4.14814i | 0.433133 | + | 0.254339i | ||||
\(267\) | −5.14022 | −0.314576 | ||||||||
\(268\) | −0.284463 | + | 1.61327i | −0.0173763 | + | 0.0985461i | ||||
\(269\) | −17.2003 | − | 14.4327i | −1.04872 | − | 0.879980i | −0.0557609 | − | 0.998444i | \(-0.517758\pi\) |
−0.992958 | + | 0.118464i | \(0.962203\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.41787 | − | 1.97194i | 0.329112 | − | 0.119787i | −0.172179 | − | 0.985066i | \(-0.555081\pi\) |
0.501291 | + | 0.865279i | \(0.332859\pi\) | |||||||
\(272\) | 3.33022 | − | 2.79439i | 0.201924 | − | 0.169435i | ||||
\(273\) | −6.79086 | − | 11.7621i | −0.411002 | − | 0.711875i | ||||
\(274\) | 2.48886 | − | 4.31082i | 0.150357 | − | 0.260426i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −1.62449 | − | 9.21291i | −0.0977825 | − | 0.554552i | ||||
\(277\) | −9.88666 | + | 17.1242i | −0.594032 | + | 1.02889i | 0.399651 | + | 0.916667i | \(0.369131\pi\) |
−0.993683 | + | 0.112226i | \(0.964202\pi\) | |||||||
\(278\) | −9.36231 | − | 16.2160i | −0.561514 | − | 0.972571i | ||||
\(279\) | 1.81908 | − | 1.52639i | 0.108905 | − | 0.0913824i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −29.7904 | − | 10.8428i | −1.77715 | − | 0.646829i | −0.999843 | − | 0.0177066i | \(-0.994364\pi\) |
−0.777306 | − | 0.629123i | \(-0.783414\pi\) | |||||||
\(282\) | 8.07398 | + | 6.77487i | 0.480798 | + | 0.403438i | ||||
\(283\) | 0.510678 | − | 2.89620i | 0.0303566 | − | 0.172161i | −0.965860 | − | 0.259064i | \(-0.916586\pi\) |
0.996217 | + | 0.0869031i | \(0.0276970\pi\) | |||||||
\(284\) | −2.55169 | −0.151415 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.766511 | 0.0453248 | ||||||||
\(287\) | 0.773318 | − | 4.38571i | 0.0456475 | − | 0.258880i | ||||
\(288\) | 0.500000 | + | 0.419550i | 0.0294628 | + | 0.0247222i | ||||
\(289\) | −1.78446 | − | 0.649491i | −0.104968 | − | 0.0382054i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.9761 | + | 17.6011i | −1.22964 | + | 1.03179i | ||||
\(292\) | 7.85117 | + | 13.5986i | 0.459455 | + | 0.795799i | ||||
\(293\) | −8.14883 | + | 14.1142i | −0.476060 | + | 0.824560i | −0.999624 | − | 0.0274264i | \(-0.991269\pi\) |
0.523564 | + | 0.851986i | \(0.324602\pi\) | |||||||
\(294\) | 0.922618 | + | 5.23243i | 0.0538082 | + | 0.305161i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −3.68479 | + | 6.38225i | −0.214174 | + | 0.370961i | ||||
\(297\) | −0.454707 | − | 0.787576i | −0.0263848 | − | 0.0456998i | ||||
\(298\) | 10.2476 | − | 8.59878i | 0.593629 | − | 0.498114i | ||||
\(299\) | 27.0646 | − | 9.85073i | 1.56519 | − | 0.569682i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.939693 | − | 0.788496i | −0.0541630 | − | 0.0454481i | ||||
\(302\) | 2.58125 | − | 14.6390i | 0.148534 | − | 0.842380i | ||||
\(303\) | 13.6459 | 0.783936 | ||||||||
\(304\) | −0.0320889 | + | 4.35878i | −0.00184042 | + | 0.249993i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.492726 | − | 2.79439i | 0.0281673 | − | 0.159745i | ||||
\(307\) | −16.9932 | − | 14.2590i | −0.969853 | − | 0.813803i | 0.0126749 | − | 0.999920i | \(-0.495965\pi\) |
−0.982528 | + | 0.186117i | \(0.940410\pi\) | |||||||
\(308\) | 0.286989 | + | 0.104455i | 0.0163527 | + | 0.00595190i | ||||
\(309\) | 11.8760 | − | 4.32250i | 0.675601 | − | 0.245899i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.46198 | + | 7.72838i | 0.253016 | + | 0.438236i | 0.964355 | − | 0.264613i | \(-0.0852442\pi\) |
−0.711339 | + | 0.702849i | \(0.751911\pi\) | |||||||
\(312\) | 3.61334 | − | 6.25849i | 0.204565 | − | 0.354317i | ||||
\(313\) | 3.18227 | + | 18.0475i | 0.179872 | + | 1.02011i | 0.932368 | + | 0.361510i | \(0.117739\pi\) |
−0.752496 | + | 0.658597i | \(0.771150\pi\) | |||||||
\(314\) | −1.29339 | − | 7.33515i | −0.0729900 | − | 0.413947i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.500000 | + | 0.866025i | 0.0281272 | + | 0.0487177i | ||||
\(317\) | 18.5856 | − | 15.5952i | 1.04387 | − | 0.875912i | 0.0514349 | − | 0.998676i | \(-0.483621\pi\) |
0.992436 | + | 0.122765i | \(0.0391761\pi\) | |||||||
\(318\) | −8.55690 | + | 3.11446i | −0.479847 | + | 0.174650i | ||||
\(319\) | 0.364837 | + | 0.132790i | 0.0204270 | + | 0.00743481i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.973841 | + | 5.52293i | −0.0543545 | + | 0.308260i | ||||
\(322\) | 11.4757 | 0.639513 | ||||||||
\(323\) | 16.4800 | − | 9.35365i | 0.916971 | − | 0.520451i | ||||
\(324\) | −6.61587 | −0.367548 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.17230 | + | 4.34008i | 0.286467 | + | 0.240375i | ||||
\(327\) | −4.65657 | − | 1.69485i | −0.257509 | − | 0.0937257i | ||||
\(328\) | 2.22668 | − | 0.810446i | 0.122948 | − | 0.0447494i | ||||
\(329\) | −9.90420 | + | 8.31061i | −0.546036 | + | 0.458179i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.8974 | + | 29.2671i | −0.928765 | + | 1.60867i | −0.143373 | + | 0.989669i | \(0.545795\pi\) |
−0.785392 | + | 0.618999i | \(0.787539\pi\) | |||||||
\(332\) | 0.177519 | + | 1.00676i | 0.00974260 | + | 0.0552530i | ||||
\(333\) | 0.835275 | + | 4.73708i | 0.0457728 | + | 0.259590i | ||||
\(334\) | −8.12701 | + | 14.0764i | −0.444690 | + | 0.770226i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.20574 | − | 1.85083i | 0.120333 | − | 0.100971i | ||||
\(337\) | −27.9761 | + | 10.1825i | −1.52396 | + | 0.554675i | −0.962132 | − | 0.272582i | \(-0.912122\pi\) |
−0.561824 | + | 0.827257i | \(0.689900\pi\) | |||||||
\(338\) | 8.69119 | + | 3.16333i | 0.472738 | + | 0.172063i | ||||
\(339\) | 17.8105 | + | 14.9448i | 0.967331 | + | 0.811687i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.591214 | 0.0320160 | ||||||||
\(342\) | 1.81268 | + | 2.19285i | 0.0980186 | + | 0.118576i | ||||
\(343\) | −19.6732 | −1.06225 | ||||||||
\(344\) | 0.113341 | − | 0.642788i | 0.00611093 | − | 0.0346568i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.29813 | + | 1.92836i | 0.284829 | + | 0.103669i | ||||
\(347\) | 2.93717 | − | 1.06904i | 0.157675 | − | 0.0573891i | −0.261977 | − | 0.965074i | \(-0.584374\pi\) |
0.419652 | + | 0.907685i | \(0.362152\pi\) | |||||||
\(348\) | 2.80406 | − | 2.35289i | 0.150314 | − | 0.126128i | ||||
\(349\) | 3.88666 | + | 6.73189i | 0.208048 | + | 0.360350i | 0.951100 | − | 0.308884i | \(-0.0999556\pi\) |
−0.743052 | + | 0.669234i | \(0.766622\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.58378 | − | 25.9959i | −0.244664 | − | 1.38756i | ||||
\(352\) | 0.0282185 | + | 0.160035i | 0.00150405 | + | 0.00852990i | ||||
\(353\) | −14.6163 | + | 25.3162i | −0.777949 | + | 1.34745i | 0.155173 | + | 0.987887i | \(0.450406\pi\) |
−0.933122 | + | 0.359560i | \(0.882927\pi\) | |||||||
\(354\) | −3.12449 | − | 5.41177i | −0.166065 | − | 0.287632i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 3.15270 | − | 1.14749i | 0.167093 | − | 0.0608169i | ||||
\(357\) | −11.7626 | − | 4.28125i | −0.622545 | − | 0.226588i | ||||
\(358\) | −8.80587 | − | 7.38901i | −0.465405 | − | 0.390521i | ||||
\(359\) | 3.13310 | − | 17.7687i | 0.165359 | − | 0.937797i | −0.783335 | − | 0.621600i | \(-0.786483\pi\) |
0.948694 | − | 0.316197i | \(-0.102406\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.57444 | + | 18.6607i | −0.188129 | + | 0.982144i | ||||
\(362\) | −15.0419 | −0.790584 | ||||||||
\(363\) | −2.91946 | + | 16.5571i | −0.153232 | + | 0.869022i | ||||
\(364\) | 6.79086 | + | 5.69821i | 0.355938 | + | 0.298667i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.39053 | − | 1.23405i | 0.177226 | − | 0.0645049i | ||||
\(367\) | −12.7818 | + | 10.7252i | −0.667203 | + | 0.559850i | −0.912236 | − | 0.409665i | \(-0.865646\pi\) |
0.245033 | + | 0.969515i | \(0.421201\pi\) | |||||||
\(368\) | 3.05303 | + | 5.28801i | 0.159150 | + | 0.275657i | ||||
\(369\) | 0.773318 | − | 1.33943i | 0.0402573 | − | 0.0697278i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.93969 | − | 11.0005i | −0.100704 | − | 0.571120i | ||||
\(372\) | 2.78699 | − | 4.82721i | 0.144499 | − | 0.250279i | ||||
\(373\) | 3.89915 | + | 6.75352i | 0.201890 | + | 0.349684i | 0.949137 | − | 0.314862i | \(-0.101958\pi\) |
−0.747247 | + | 0.664546i | \(0.768625\pi\) | |||||||
\(374\) | 0.541174 | − | 0.454099i | 0.0279834 | − | 0.0234809i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.46451 | − | 2.35289i | −0.333382 | − | 0.121341i | ||||
\(377\) | 8.63294 | + | 7.24390i | 0.444619 | + | 0.373080i | ||||
\(378\) | 1.82635 | − | 10.3578i | 0.0939374 | − | 0.532745i | ||||
\(379\) | 1.31996 | 0.0678015 | 0.0339008 | − | 0.999425i | \(-0.489207\pi\) | ||||
0.0339008 | + | 0.999425i | \(0.489207\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 30.5631 | 1.56579 | ||||||||
\(382\) | −3.50996 | + | 19.9060i | −0.179585 | + | 1.01848i | ||||
\(383\) | 25.4349 | + | 21.3425i | 1.29966 | + | 1.09055i | 0.990203 | + | 0.139637i | \(0.0445934\pi\) |
0.309462 | + | 0.950912i | \(0.399851\pi\) | |||||||
\(384\) | 1.43969 | + | 0.524005i | 0.0734690 | + | 0.0267405i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 7.71941 | − | 6.47735i | 0.392908 | − | 0.329689i | ||||
\(387\) | −0.213011 | − | 0.368946i | −0.0108280 | − | 0.0187546i | ||||
\(388\) | 8.93629 | − | 15.4781i | 0.453671 | − | 0.785782i | ||||
\(389\) | 2.57991 | + | 14.6314i | 0.130807 | + | 0.741841i | 0.977689 | + | 0.210060i | \(0.0673659\pi\) |
−0.846882 | + | 0.531781i | \(0.821523\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.2724 | − | 22.9885i | 0.671216 | − | 1.16258i | ||||
\(392\) | −1.73396 | − | 3.00330i | −0.0875780 | − | 0.151690i | ||||
\(393\) | −19.8286 | + | 16.6382i | −1.00022 | + | 0.839286i | ||||
\(394\) | −12.3084 | + | 4.47989i | −0.620088 | + | 0.225694i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.0812519 | + | 0.0681784i | 0.00408306 | + | 0.00342610i | ||||
\(397\) | −1.49566 | + | 8.48233i | −0.0750652 | + | 0.425716i | 0.923996 | + | 0.382401i | \(0.124903\pi\) |
−0.999061 | + | 0.0433144i | \(0.986208\pi\) | |||||||
\(398\) | 17.5790 | 0.881157 | ||||||||
\(399\) | 10.9153 | − | 6.19529i | 0.546451 | − | 0.310152i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.886821 | + | 5.02941i | −0.0442857 | + | 0.251157i | −0.998911 | − | 0.0466521i | \(-0.985145\pi\) |
0.954625 | + | 0.297809i | \(0.0962559\pi\) | |||||||
\(402\) | 1.92262 | + | 1.61327i | 0.0958915 | + | 0.0804625i | ||||
\(403\) | 16.1258 | + | 5.86932i | 0.803285 | + | 0.292372i | ||||
\(404\) | −8.36959 | + | 3.04628i | −0.416402 | + | 0.151558i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.24510 | + | 3.88863i | 0.111422 | + | 0.192989i | ||||
\(407\) | −0.598793 | + | 1.03714i | −0.0296811 | + | 0.0514091i | ||||
\(408\) | −1.15657 | − | 6.55926i | −0.0572589 | − | 0.324732i | ||||
\(409\) | 5.00640 | + | 28.3927i | 0.247550 | + | 1.40393i | 0.814494 | + | 0.580172i | \(0.197015\pi\) |
−0.566944 | + | 0.823756i | \(0.691874\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −3.81315 | − | 6.60457i | −0.188089 | − | 0.325779i | ||||
\(412\) | −6.31908 | + | 5.30234i | −0.311319 | + | 0.261227i | ||||
\(413\) | 7.20321 | − | 2.62175i | 0.354447 | − | 0.129008i | ||||
\(414\) | 3.74510 | + | 1.36310i | 0.184062 | + | 0.0669930i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.819078 | + | 4.64522i | −0.0401586 | + | 0.227751i | ||||
\(417\) | −28.6878 | −1.40485 | ||||||||
\(418\) | −0.00521457 | + | 0.708319i | −0.000255053 | + | 0.0346450i | ||||
\(419\) | −7.66313 | −0.374369 | −0.187184 | − | 0.982325i | \(-0.559936\pi\) | ||||
−0.187184 | + | 0.982325i | \(0.559936\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.14930 | + | 4.32078i | 0.250962 | + | 0.210582i | 0.759586 | − | 0.650407i | \(-0.225401\pi\) |
−0.508625 | + | 0.860988i | \(0.669846\pi\) | |||||||
\(422\) | −23.2456 | − | 8.46069i | −1.13158 | − | 0.411860i | ||||
\(423\) | −4.21941 | + | 1.53574i | −0.205155 | + | 0.0746702i | ||||
\(424\) | 4.55303 | − | 3.82045i | 0.221115 | − | 0.185537i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −1.95471 | + | 3.38565i | −0.0947059 | + | 0.164035i | ||||
\(427\) | 0.768571 | + | 4.35878i | 0.0371937 | + | 0.210936i | ||||
\(428\) | −0.635630 | − | 3.60483i | −0.0307243 | − | 0.174246i | ||||
\(429\) | 0.587182 | − | 1.01703i | 0.0283494 | − | 0.0491026i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.5307 | − | 10.5145i | 0.603585 | − | 0.506468i | −0.289011 | − | 0.957326i | \(-0.593326\pi\) |
0.892596 | + | 0.450858i | \(0.148882\pi\) | |||||||
\(432\) | 5.25877 | − | 1.91404i | 0.253013 | − | 0.0920891i | ||||
\(433\) | 9.59152 | + | 3.49103i | 0.460939 | + | 0.167768i | 0.562043 | − | 0.827108i | \(-0.310015\pi\) |
−0.101104 | + | 0.994876i | \(0.532238\pi\) | |||||||
\(434\) | 5.23783 | + | 4.39506i | 0.251424 | + | 0.210970i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.23442 | 0.154901 | ||||||||
\(437\) | 8.91875 | + | 25.0769i | 0.426642 | + | 1.19959i | ||||
\(438\) | 24.0574 | 1.14951 | ||||||||
\(439\) | −1.65523 | + | 9.38728i | −0.0789998 | + | 0.448030i | 0.919491 | + | 0.393111i | \(0.128601\pi\) |
−0.998491 | + | 0.0549191i | \(0.982510\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.12701 | − | 0.774169i | −0.101286 | − | 0.0368652i | ||||
\(442\) | 19.2690 | − | 7.01336i | 0.916535 | − | 0.333591i | ||||
\(443\) | 4.58306 | − | 3.84565i | 0.217748 | − | 0.182712i | −0.527389 | − | 0.849624i | \(-0.676829\pi\) |
0.745136 | + | 0.666912i | \(0.232384\pi\) | |||||||
\(444\) | 5.64543 | + | 9.77817i | 0.267920 | + | 0.464051i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.63950 | − | 14.9693i | −0.124984 | − | 0.708819i | ||||
\(447\) | −3.55896 | − | 20.1839i | −0.168333 | − | 0.954665i | ||||
\(448\) | −0.939693 | + | 1.62760i | −0.0443963 | + | 0.0768967i | ||||
\(449\) | 7.67752 | + | 13.2979i | 0.362325 | + | 0.627564i | 0.988343 | − | 0.152244i | \(-0.0486499\pi\) |
−0.626018 | + | 0.779808i | \(0.715317\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.361844 | − | 0.131701i | 0.0170386 | − | 0.00620154i | ||||
\(452\) | −14.2601 | − | 5.19026i | −0.670739 | − | 0.244129i | ||||
\(453\) | −17.4461 | − | 14.6390i | −0.819689 | − | 0.687801i | ||||
\(454\) | −3.24675 | + | 18.4132i | −0.152377 | + | 0.864176i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 5.75877 | + | 3.38160i | 0.269679 | + | 0.158358i | ||||
\(457\) | −11.3987 | −0.533208 | −0.266604 | − | 0.963806i | \(-0.585902\pi\) | ||||
−0.266604 | + | 0.963806i | \(0.585902\pi\) | |||||||
\(458\) | 3.45723 | − | 19.6069i | 0.161546 | − | 0.916172i | ||||
\(459\) | −18.6368 | − | 15.6381i | −0.869892 | − | 0.729926i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 37.9847 | − | 13.8253i | 1.76913 | − | 0.643909i | 0.769137 | − | 0.639084i | \(-0.220686\pi\) |
0.999988 | − | 0.00482537i | \(-0.00153597\pi\) | |||||||
\(462\) | 0.358441 | − | 0.300767i | 0.0166762 | − | 0.0139930i | ||||
\(463\) | −4.97818 | − | 8.62246i | −0.231356 | − | 0.400720i | 0.726852 | − | 0.686794i | \(-0.240983\pi\) |
−0.958207 | + | 0.286075i | \(0.907649\pi\) | |||||||
\(464\) | −1.19459 | + | 2.06910i | −0.0554576 | + | 0.0960553i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.85844 | − | 27.5536i | −0.225063 | − | 1.27640i | ||||
\(467\) | 2.80406 | − | 4.85678i | 0.129757 | − | 0.224745i | −0.793826 | − | 0.608145i | \(-0.791914\pi\) |
0.923582 | + | 0.383400i | \(0.125247\pi\) | |||||||
\(468\) | 1.53936 | + | 2.66625i | 0.0711571 | + | 0.123248i | ||||
\(469\) | −2.35844 | + | 1.97897i | −0.108903 | + | 0.0913802i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −10.7233 | − | 3.90295i | −0.494103 | − | 0.179839i | ||||
\(472\) | 3.12449 | + | 2.62175i | 0.143816 | + | 0.120676i | ||||
\(473\) | 0.0184183 | − | 0.104455i | 0.000846875 | − | 0.00480287i | ||||
\(474\) | 1.53209 | 0.0703712 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 8.17024 | 0.374483 | ||||||||
\(477\) | 0.673648 | − | 3.82045i | 0.0308442 | − | 0.174926i | ||||
\(478\) | 20.1951 | + | 16.9457i | 0.923701 | + | 0.775077i | ||||
\(479\) | 23.2383 | + | 8.45805i | 1.06178 | + | 0.386458i | 0.813099 | − | 0.582126i | \(-0.197779\pi\) |
0.248686 | + | 0.968584i | \(0.420001\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.6288 | + | 22.3442i | −1.21417 | + | 1.01881i | ||||
\(482\) | 8.58765 | + | 14.8742i | 0.391157 | + | 0.677503i | ||||
\(483\) | 8.79086 | − | 15.2262i | 0.399998 | − | 0.692817i | ||||
\(484\) | −1.90554 | − | 10.8069i | −0.0866157 | − | 0.491222i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 3.32635 | − | 5.76141i | 0.150886 | − | 0.261343i | ||||
\(487\) | 6.49525 | + | 11.2501i | 0.294328 | + | 0.509791i | 0.974828 | − | 0.222957i | \(-0.0715709\pi\) |
−0.680500 | + | 0.732748i | \(0.738238\pi\) | |||||||
\(488\) | −1.80406 | + | 1.51379i | −0.0816661 | + | 0.0685260i | ||||
\(489\) | 9.72075 | − | 3.53806i | 0.439588 | − | 0.159997i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.2947 | + | 11.9947i | 0.645112 | + | 0.541313i | 0.905583 | − | 0.424168i | \(-0.139433\pi\) |
−0.260471 | + | 0.965482i | \(0.583878\pi\) | |||||||
\(492\) | 0.630415 | − | 3.57526i | 0.0284213 | − | 0.161185i | ||||
\(493\) | 10.3865 | 0.467784 | ||||||||
\(494\) | −7.17412 | + | 19.2682i | −0.322779 | + | 0.866916i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.631759 | + | 3.58288i | −0.0283668 | + | 0.160876i | ||||
\(497\) | −3.67365 | − | 3.08256i | −0.164786 | − | 0.138272i | ||||
\(498\) | 1.47178 | + | 0.535685i | 0.0659521 | + | 0.0240046i | ||||
\(499\) | 16.2353 | − | 5.90917i | 0.726792 | − | 0.264531i | 0.0479856 | − | 0.998848i | \(-0.484720\pi\) |
0.678806 | + | 0.734317i | \(0.262498\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.4513 | + | 21.5663i | 0.556283 | + | 0.963511i | ||||
\(502\) | 8.04576 | − | 13.9357i | 0.359100 | − | 0.621979i | ||||
\(503\) | 6.48111 | + | 36.7562i | 0.288979 | + | 1.63888i | 0.690717 | + | 0.723125i | \(0.257295\pi\) |
−0.401739 | + | 0.915754i | \(0.631594\pi\) | |||||||
\(504\) | 0.213011 | + | 1.20805i | 0.00948827 | + | 0.0538106i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.496130 | + | 0.859322i | 0.0220557 | + | 0.0382015i | ||||
\(507\) | 10.8550 | − | 9.10846i | 0.482089 | − | 0.404521i | ||||
\(508\) | −18.7456 | + | 6.82283i | −0.831700 | + | 0.302714i | ||||
\(509\) | 17.9522 | + | 6.53406i | 0.795716 | + | 0.289617i | 0.707710 | − | 0.706503i | \(-0.249728\pi\) |
0.0880062 | + | 0.996120i | \(0.471950\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.12449 | + | 29.0624i | −0.226694 | + | 1.28564i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 24.0535 | − | 4.05893i | 1.06199 | − | 0.179206i | ||||
\(514\) | 14.1438 | 0.623858 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.766044 | − | 0.642788i | −0.0337232 | − | 0.0282971i | ||||
\(517\) | −1.05051 | − | 0.382353i | −0.0462013 | − | 0.0168159i | ||||
\(518\) | −13.0150 | + | 4.73708i | −0.571847 | + | 0.208135i | ||||
\(519\) | 6.61721 | − | 5.55250i | 0.290463 | − | 0.243728i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.5287 | − | 30.3606i | 0.767946 | − | 1.33012i | −0.170729 | − | 0.985318i | \(-0.554612\pi\) |
0.938675 | − | 0.344803i | \(-0.112054\pi\) | |||||||
\(522\) | 0.270792 | + | 1.53574i | 0.0118523 | + | 0.0672175i | ||||
\(523\) | −4.20305 | − | 23.8367i | −0.183786 | − | 1.04230i | −0.927505 | − | 0.373812i | \(-0.878051\pi\) |
0.743718 | − | 0.668493i | \(-0.233060\pi\) | |||||||
\(524\) | 8.44743 | − | 14.6314i | 0.369028 | − | 0.639175i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 10.0517 | − | 8.43437i | 0.438274 | − | 0.367756i | ||||
\(527\) | 14.8623 | − | 5.40944i | 0.647412 | − | 0.235639i | ||||
\(528\) | 0.233956 | + | 0.0851529i | 0.0101816 | + | 0.00370580i | ||||
\(529\) | 10.9422 | + | 9.18161i | 0.475749 | + | 0.399201i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.66220 | 0.115530 | ||||||||
\(532\) | −5.31180 | + | 6.23654i | −0.230296 | + | 0.270388i | ||||
\(533\) | 11.1771 | 0.484132 | ||||||||
\(534\) | 0.892589 | − | 5.06212i | 0.0386261 | − | 0.219060i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −1.53936 | − | 0.560282i | −0.0664903 | − | 0.0242005i | ||||
\(537\) | −16.5496 | + | 6.02357i | −0.714169 | + | 0.259936i | ||||
\(538\) | 17.2003 | − | 14.4327i | 0.741556 | − | 0.622240i | ||||
\(539\) | −0.281774 | − | 0.488048i | −0.0121369 | − | 0.0210217i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.37955 | + | 36.1802i | 0.274278 | + | 1.55551i | 0.741245 | + | 0.671234i | \(0.234235\pi\) |
−0.466967 | + | 0.884275i | \(0.654653\pi\) | |||||||
\(542\) | 1.00118 | + | 5.67799i | 0.0430045 | + | 0.243890i | ||||
\(543\) | −11.5228 | + | 19.9580i | −0.494489 | + | 0.856480i | ||||
\(544\) | 2.17365 | + | 3.76487i | 0.0931944 | + | 0.161417i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 12.7626 | − | 4.64522i | 0.546191 | − | 0.198797i | ||||
\(547\) | 18.1138 | + | 6.59289i | 0.774490 | + | 0.281891i | 0.698873 | − | 0.715245i | \(-0.253685\pi\) |
0.0756171 | + | 0.997137i | \(0.475907\pi\) | |||||||
\(548\) | 3.81315 | + | 3.19961i | 0.162890 | + | 0.136681i | ||||
\(549\) | −0.266922 | + | 1.51379i | −0.0113919 | + | 0.0646069i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.75268 | + | 7.92826i | −0.287674 | + | 0.337755i | ||||
\(552\) | 9.35504 | 0.398177 | ||||||||
\(553\) | −0.326352 | + | 1.85083i | −0.0138779 | + | 0.0787054i | ||||
\(554\) | −15.1472 | − | 12.7100i | −0.643545 | − | 0.539998i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.5954 | − | 6.40420i | 0.746211 | − | 0.271598i | ||||
\(557\) | −32.6798 | + | 27.4216i | −1.38469 | + | 1.16189i | −0.417247 | + | 0.908793i | \(0.637005\pi\) |
−0.967441 | + | 0.253097i | \(0.918551\pi\) | |||||||
\(558\) | 1.18732 | + | 2.05650i | 0.0502632 | + | 0.0870584i | ||||
\(559\) | 1.53936 | − | 2.66625i | 0.0651081 | − | 0.112771i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.187948 | − | 1.06590i | −0.00793516 | − | 0.0450025i | ||||
\(562\) | 15.8512 | − | 27.4550i | 0.668641 | − | 1.15812i | ||||
\(563\) | 5.89915 | + | 10.2176i | 0.248619 | + | 0.430621i | 0.963143 | − | 0.268990i | \(-0.0866898\pi\) |
−0.714524 | + | 0.699611i | \(0.753356\pi\) | |||||||
\(564\) | −8.07398 | + | 6.77487i | −0.339976 | + | 0.285274i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.76352 | + | 1.00584i | 0.116159 | + | 0.0422785i | ||||
\(567\) | −9.52481 | − | 7.99227i | −0.400005 | − | 0.335644i | ||||
\(568\) | 0.443096 | − | 2.51292i | 0.0185919 | − | 0.105440i | ||||
\(569\) | −1.87164 | −0.0784634 | −0.0392317 | − | 0.999230i | \(-0.512491\pi\) | ||||
−0.0392317 | + | 0.999230i | \(0.512491\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.14197 | −0.340731 | −0.170365 | − | 0.985381i | \(-0.554495\pi\) | ||||
−0.170365 | + | 0.985381i | \(0.554495\pi\) | |||||||
\(572\) | −0.133103 | + | 0.754866i | −0.00556533 | + | 0.0315625i | ||||
\(573\) | 23.7230 | + | 19.9060i | 0.991044 | + | 0.831584i | ||||
\(574\) | 4.18479 | + | 1.52314i | 0.174670 | + | 0.0635746i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.500000 | + | 0.419550i | −0.0208333 | + | 0.0174812i | ||||
\(577\) | −4.51707 | − | 7.82380i | −0.188048 | − | 0.325709i | 0.756551 | − | 0.653934i | \(-0.226883\pi\) |
−0.944599 | + | 0.328225i | \(0.893549\pi\) | |||||||
\(578\) | 0.949493 | − | 1.64457i | 0.0394937 | − | 0.0684051i | ||||
\(579\) | −2.68092 | − | 15.2043i | −0.111415 | − | 0.631868i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.960637 | + | 1.66387i | −0.0398539 | + | 0.0690291i | ||||
\(582\) | −13.6912 | − | 23.7138i | −0.567518 | − | 0.982970i | ||||
\(583\) | 0.739885 | − | 0.620838i | 0.0306429 | − | 0.0257125i | ||||
\(584\) | −14.7554 | + | 5.37051i | −0.610581 | + | 0.222233i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.4847 | − | 10.4759i | −0.515740 | − | 0.432757i | ||||
\(587\) | −6.85797 | + | 38.8935i | −0.283059 | + | 1.60531i | 0.429079 | + | 0.903267i | \(0.358838\pi\) |
−0.712138 | + | 0.702040i | \(0.752273\pi\) | |||||||
\(588\) | −5.31315 | −0.219111 | ||||||||
\(589\) | −5.53343 | + | 14.8616i | −0.228001 | + | 0.612363i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.48474 | + | 19.7629i | −0.143343 | + | 0.812938i | ||||
\(592\) | −5.64543 | − | 4.73708i | −0.232026 | − | 0.194693i | ||||
\(593\) | −27.1685 | − | 9.88852i | −1.11568 | − | 0.406073i | −0.282604 | − | 0.959237i | \(-0.591198\pi\) |
−0.833072 | + | 0.553164i | \(0.813420\pi\) | |||||||
\(594\) | 0.854570 | − | 0.311038i | 0.0350634 | − | 0.0127621i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 6.68866 | + | 11.5851i | 0.273978 | + | 0.474544i | ||||
\(597\) | 13.4663 | − | 23.3243i | 0.551140 | − | 0.954602i | ||||
\(598\) | 5.00134 | + | 28.3640i | 0.204520 | + | 1.15989i | ||||
\(599\) | 3.16931 | + | 17.9741i | 0.129495 | + | 0.734400i | 0.978536 | + | 0.206074i | \(0.0660689\pi\) |
−0.849042 | + | 0.528326i | \(0.822820\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.18433 | − | 7.24746i | −0.170682 | − | 0.295630i | 0.767976 | − | 0.640478i | \(-0.221264\pi\) |
−0.938659 | + | 0.344848i | \(0.887930\pi\) | |||||||
\(602\) | 0.939693 | − | 0.788496i | 0.0382990 | − | 0.0321367i | ||||
\(603\) | −1.00475 | + | 0.365698i | −0.0409165 | + | 0.0148924i | ||||
\(604\) | 13.9684 | + | 5.08407i | 0.568365 | + | 0.206868i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −2.36959 | + | 13.4386i | −0.0962578 | + | 0.545905i | ||||
\(607\) | −28.1138 | −1.14110 | −0.570552 | − | 0.821261i | \(-0.693271\pi\) | ||||
−0.570552 | + | 0.821261i | \(0.693271\pi\) | |||||||
\(608\) | −4.28699 | − | 0.788496i | −0.173860 | − | 0.0319777i | ||||
\(609\) | 6.87939 | 0.278767 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −24.8576 | − | 20.8580i | −1.00563 | − | 0.843823i | ||||
\(612\) | 2.66637 | + | 0.970481i | 0.107782 | + | 0.0392294i | ||||
\(613\) | 20.0253 | − | 7.28861i | 0.808814 | − | 0.294384i | 0.0956799 | − | 0.995412i | \(-0.469497\pi\) |
0.713134 | + | 0.701028i | \(0.247275\pi\) | |||||||
\(614\) | 16.9932 | − | 14.2590i | 0.685789 | − | 0.575446i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.152704 | + | 0.264490i | −0.00615261 | + | 0.0106566i | ||||
\(617\) | −2.75520 | − | 15.6255i | −0.110920 | − | 0.629061i | −0.988690 | − | 0.149977i | \(-0.952080\pi\) |
0.877769 | − | 0.479084i | \(-0.159031\pi\) | |||||||
\(618\) | 2.19459 | + | 12.4462i | 0.0882795 | + | 0.500658i | ||||
\(619\) | 1.20527 | − | 2.08759i | 0.0484439 | − | 0.0839073i | −0.840787 | − | 0.541367i | \(-0.817907\pi\) |
0.889231 | + | 0.457459i | \(0.151240\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 26.1766 | − | 21.9648i | 1.05043 | − | 0.881417i | ||||
\(622\) | −8.38578 | + | 3.05217i | −0.336239 | + | 0.122381i | ||||
\(623\) | 5.92514 | + | 2.15658i | 0.237386 | + | 0.0864014i | ||||
\(624\) | 5.53596 | + | 4.64522i | 0.221616 | + | 0.185958i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −18.3259 | −0.732452 | ||||||||
\(627\) | 0.935822 | + | 0.549522i | 0.0373731 | + | 0.0219458i | ||||
\(628\) | 7.44831 | 0.297220 | ||||||||
\(629\) | −5.56330 | + | 31.5510i | −0.221823 | + | 1.25802i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.26769 | + | 0.461403i | 0.0504661 | + | 0.0183681i | 0.367130 | − | 0.930170i | \(-0.380340\pi\) |
−0.316664 | + | 0.948538i | \(0.602563\pi\) | |||||||
\(632\) | −0.939693 | + | 0.342020i | −0.0373790 | + | 0.0136048i | ||||
\(633\) | −29.0330 | + | 24.3616i | −1.15396 | + | 0.968287i | ||||
\(634\) | 12.1309 | + | 21.0113i | 0.481779 | + | 0.834465i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.58125 | − | 8.96773i | −0.0627007 | − | 0.355593i | ||||
\(637\) | −2.84049 | − | 16.1092i | −0.112544 | − | 0.638270i | ||||
\(638\) | −0.194126 | + | 0.336236i | −0.00768552 | + | 0.0133117i | ||||
\(639\) | −0.832748 | − | 1.44236i | −0.0329430 | − | 0.0570590i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −32.3910 | + | 11.7894i | −1.27937 | + | 0.465652i | −0.890223 | − | 0.455525i | \(-0.849452\pi\) |
−0.389144 | + | 0.921177i | \(0.627229\pi\) | |||||||
\(642\) | −5.26991 | − | 1.91809i | −0.207987 | − | 0.0757011i | ||||
\(643\) | −15.5797 | − | 13.0729i | −0.614402 | − | 0.515544i | 0.281636 | − | 0.959521i | \(-0.409123\pi\) |
−0.896038 | + | 0.443977i | \(0.853567\pi\) | |||||||
\(644\) | −1.99273 | + | 11.3013i | −0.0785244 | + | 0.445334i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.34982 | + | 17.8539i | 0.249830 | + | 0.702451i | ||||
\(647\) | 41.9427 | 1.64894 | 0.824470 | − | 0.565906i | \(-0.191474\pi\) | ||||
0.824470 | + | 0.565906i | \(0.191474\pi\) | |||||||
\(648\) | 1.14883 | − | 6.51536i | 0.0451304 | − | 0.255947i | ||||
\(649\) | 0.507741 | + | 0.426045i | 0.0199306 | + | 0.0167237i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 9.84389 | − | 3.58288i | 0.385813 | − | 0.140424i | ||||
\(652\) | −5.17230 | + | 4.34008i | −0.202563 | + | 0.169971i | ||||
\(653\) | −15.0398 | − | 26.0497i | −0.588554 | − | 1.01941i | −0.994422 | − | 0.105474i | \(-0.966364\pi\) |
0.405868 | − | 0.913932i | \(-0.366969\pi\) | |||||||
\(654\) | 2.47771 | − | 4.29152i | 0.0968862 | − | 0.167812i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.411474 | + | 2.33359i | 0.0160654 | + | 0.0911112i | ||||
\(657\) | −5.12449 | + | 8.87587i | −0.199925 | + | 0.346281i | ||||
\(658\) | −6.46451 | − | 11.1969i | −0.252013 | − | 0.436499i | ||||
\(659\) | 37.7001 | − | 31.6342i | 1.46859 | − | 1.23229i | 0.551154 | − | 0.834404i | \(-0.314188\pi\) |
0.917434 | − | 0.397888i | \(-0.130257\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −44.5330 | − | 16.2087i | −1.73213 | − | 0.630445i | −0.733355 | − | 0.679846i | \(-0.762047\pi\) |
−0.998779 | + | 0.0494010i | \(0.984269\pi\) | |||||||
\(662\) | −25.8883 | − | 21.7229i | −1.00618 | − | 0.844283i | ||||
\(663\) | 5.45542 | − | 30.9392i | 0.211871 | − | 1.20158i | ||||
\(664\) | −1.02229 | −0.0396725 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −4.81016 | −0.186390 | ||||||||
\(667\) | −2.53327 | + | 14.3669i | −0.0980886 | + | 0.556288i | ||||
\(668\) | −12.4513 | − | 10.4479i | −0.481755 | − | 0.404241i | ||||
\(669\) | −21.8837 | − | 7.96502i | −0.846074 | − | 0.307946i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.293167 | + | 0.245996i | −0.0113176 | + | 0.00949659i | ||||
\(672\) | 1.43969 | + | 2.49362i | 0.0555373 | + | 0.0961935i | ||||
\(673\) | 0.771259 | − | 1.33586i | 0.0297299 | − | 0.0514936i | −0.850778 | − | 0.525526i | \(-0.823869\pi\) |
0.880508 | + | 0.474032i | \(0.157202\pi\) | |||||||
\(674\) | −5.16978 | − | 29.3193i | −0.199132 | − | 1.12934i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −4.62449 | + | 8.00984i | −0.177865 | + | 0.308071i | ||||
\(677\) | −9.04101 | − | 15.6595i | −0.347474 | − | 0.601843i | 0.638326 | − | 0.769766i | \(-0.279627\pi\) |
−0.985800 | + | 0.167923i | \(0.946294\pi\) | |||||||
\(678\) | −17.8105 | + | 14.9448i | −0.684007 | + | 0.573950i | ||||
\(679\) | 31.5638 | − | 11.4883i | 1.21131 | − | 0.440879i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 21.9440 | + | 18.4132i | 0.840897 | + | 0.705596i | ||||
\(682\) | −0.102663 | + | 0.582232i | −0.00393118 | + | 0.0222948i | ||||
\(683\) | −22.1976 | −0.849367 | −0.424684 | − | 0.905342i | \(-0.639615\pi\) | ||||
−0.424684 | + | 0.905342i | \(0.639615\pi\) | |||||||
\(684\) | −2.47431 | + | 1.40436i | −0.0946075 | + | 0.0536970i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.41622 | − | 19.3744i | 0.130432 | − | 0.739716i | ||||
\(687\) | −23.3666 | − | 19.6069i | −0.891493 | − | 0.748052i | ||||
\(688\) | 0.613341 | + | 0.223238i | 0.0233834 | + | 0.00851086i | ||||
\(689\) | 26.3444 | − | 9.58856i | 1.00364 | − | 0.365295i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.9449 | + | 38.0097i | 0.834824 | + | 1.44596i | 0.894174 | + | 0.447720i | \(0.147764\pi\) |
−0.0593503 | + | 0.998237i | \(0.518903\pi\) | |||||||
\(692\) | −2.81908 | + | 4.88279i | −0.107165 | + | 0.185616i | ||||
\(693\) | 0.0346151 | + | 0.196312i | 0.00131492 | + | 0.00745728i | ||||
\(694\) | 0.542766 | + | 3.07818i | 0.0206031 | + | 0.116846i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.83022 | + | 3.17004i | 0.0693744 | + | 0.120160i | ||||
\(697\) | 7.89124 | − | 6.62154i | 0.298902 | − | 0.250809i | ||||
\(698\) | −7.30453 | + | 2.65863i | −0.276481 | + | 0.100631i | ||||
\(699\) | −40.2806 | − | 14.6610i | −1.52355 | − | 0.554528i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.955423 | + | 5.41847i | −0.0360858 | + | 0.204653i | −0.997520 | − | 0.0703819i | \(-0.977578\pi\) |
0.961434 | + | 0.275035i | \(0.0886893\pi\) | |||||||
\(702\) | 26.3969 | 0.996288 | ||||||||
\(703\) | −20.4667 | − | 24.7592i | −0.771917 | − | 0.933811i | ||||
\(704\) | −0.162504 | −0.00612459 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.3935 | − | 18.7904i | −0.842791 | − | 0.707186i | ||||
\(707\) | −15.7297 | − | 5.72513i | −0.591575 | − | 0.215316i | ||||
\(708\) | 5.87211 | − | 2.13727i | 0.220687 | − | 0.0803237i | ||||
\(709\) | −35.7105 | + | 29.9647i | −1.34114 | + | 1.12535i | −0.359805 | + | 0.933027i | \(0.617157\pi\) |
−0.981332 | + | 0.192321i | \(0.938399\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.326352 | + | 0.565258i | −0.0122391 | + | 0.0211988i | ||||
\(712\) | 0.582596 | + | 3.30407i | 0.0218337 | + | 0.123825i | ||||
\(713\) | 3.85756 | + | 21.8773i | 0.144467 | + | 0.819312i | ||||
\(714\) | 6.25877 | − | 10.8405i | 0.234229 | − | 0.405696i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.80587 | − | 7.38901i | 0.329091 | − | 0.276140i | ||||
\(717\) | 37.9543 | − | 13.8142i | 1.41743 | − | 0.515902i | ||||
\(718\) | 16.9547 | + | 6.17101i | 0.632744 | + | 0.230300i | ||||
\(719\) | −9.20052 | − | 7.72016i | −0.343122 | − | 0.287913i | 0.454899 | − | 0.890543i | \(-0.349675\pi\) |
−0.798021 | + | 0.602630i | \(0.794120\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.5030 | −0.577362 | ||||||||
\(722\) | −17.7565 | − | 6.76055i | −0.660830 | − | 0.251601i | ||||
\(723\) | 26.3141 | 0.978631 | ||||||||
\(724\) | 2.61200 | − | 14.8134i | 0.0970741 | − | 0.550535i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −15.7986 | − | 5.75022i | −0.586341 | − | 0.213411i | ||||
\(727\) | 29.1215 | − | 10.5994i | 1.08006 | − | 0.393109i | 0.260129 | − | 0.965574i | \(-0.416235\pi\) |
0.819929 | + | 0.572465i | \(0.194013\pi\) | |||||||
\(728\) | −6.79086 | + | 5.69821i | −0.251686 | + | 0.211190i | ||||
\(729\) | −15.0201 | − | 26.0155i | −0.556299 | − | 0.963538i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.492726 | − | 2.79439i | −0.0182241 | − | 0.103354i | ||||
\(732\) | 0.626545 | + | 3.55331i | 0.0231578 | + | 0.131334i | ||||
\(733\) | 0.600137 | − | 1.03947i | 0.0221666 | − | 0.0383936i | −0.854729 | − | 0.519074i | \(-0.826277\pi\) |
0.876896 | + | 0.480680i | \(0.159610\pi\) | |||||||
\(734\) | −8.34271 | − | 14.4500i | −0.307935 | − | 0.533359i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −5.73783 | + | 2.08840i | −0.211499 | + | 0.0769794i | ||||
\(737\) | −0.250152 | − | 0.0910480i | −0.00921448 | − | 0.00335380i | ||||
\(738\) | 1.18479 | + | 0.994159i | 0.0436128 | + | 0.0365955i | ||||
\(739\) | −2.15880 | + | 12.2431i | −0.0794126 | + | 0.450371i | 0.919010 | + | 0.394233i | \(0.128990\pi\) |
−0.998423 | + | 0.0561379i | \(0.982121\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 20.0699 | + | 24.2791i | 0.737285 | + | 0.891915i | ||||
\(742\) | 11.1702 | 0.410073 | ||||||||
\(743\) | 0.488140 | − | 2.76838i | 0.0179081 | − | 0.101562i | −0.974544 | − | 0.224198i | \(-0.928024\pi\) |
0.992452 | + | 0.122636i | \(0.0391348\pi\) | |||||||
\(744\) | 4.26991 | + | 3.58288i | 0.156543 | + | 0.131355i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −7.32800 | + | 2.66717i | −0.268297 | + | 0.0976522i | ||||
\(747\) | −0.511144 | + | 0.428901i | −0.0187018 | + | 0.0156927i | ||||
\(748\) | 0.353226 | + | 0.611806i | 0.0129152 | + | 0.0223698i | ||||
\(749\) | 3.43969 | − | 5.95772i | 0.125684 | − | 0.217690i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.38326 | − | 7.84483i | −0.0504757 | − | 0.286262i | 0.949113 | − | 0.314935i | \(-0.101983\pi\) |
−0.999589 | + | 0.0286734i | \(0.990872\pi\) | |||||||
\(752\) | 3.43969 | − | 5.95772i | 0.125433 | − | 0.217256i | ||||
\(753\) | −12.3268 | − | 21.3507i | −0.449214 | − | 0.778062i | ||||
\(754\) | −8.63294 | + | 7.24390i | −0.314393 | + | 0.263807i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 9.88326 | + | 3.59721i | 0.359451 | + | 0.130829i | ||||
\(757\) | 10.6834 | + | 8.96448i | 0.388297 | + | 0.325819i | 0.815949 | − | 0.578124i | \(-0.196215\pi\) |
−0.427653 | + | 0.903943i | \(0.640659\pi\) | |||||||
\(758\) | −0.229208 | + | 1.29990i | −0.00832520 | + | 0.0472146i | ||||
\(759\) | 1.52023 | 0.0551808 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −47.8043 | −1.73290 | −0.866452 | − | 0.499261i | \(-0.833605\pi\) | ||||
−0.866452 | + | 0.499261i | \(0.833605\pi\) | |||||||
\(762\) | −5.30722 | + | 30.0987i | −0.192260 | + | 1.09036i | ||||
\(763\) | 4.65657 | + | 3.90733i | 0.168579 | + | 0.141455i | ||||
\(764\) | −18.9941 | − | 6.91328i | −0.687181 | − | 0.250114i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −25.4349 | + | 21.3425i | −0.919002 | + | 0.771134i | ||||
\(767\) | 9.61943 | + | 16.6613i | 0.347338 | + | 0.601606i | ||||
\(768\) | −0.766044 | + | 1.32683i | −0.0276422 | + | 0.0478778i | ||||
\(769\) | −2.86080 | − | 16.2244i | −0.103163 | − | 0.585068i | −0.991938 | − | 0.126724i | \(-0.959554\pi\) |
0.888775 | − | 0.458344i | \(-0.151557\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.8348 | − | 18.7664i | 0.390206 | − | 0.675857i | ||||
\(772\) | 5.03849 | + | 8.72691i | 0.181339 | + | 0.314088i | ||||
\(773\) | −7.72534 | + | 6.48233i | −0.277861 | + | 0.233153i | −0.771059 | − | 0.636764i | \(-0.780272\pi\) |
0.493197 | + | 0.869917i | \(0.335828\pi\) | |||||||
\(774\) | 0.400330 | − | 0.145708i | 0.0143896 | − | 0.00523737i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 13.6912 | + | 11.4883i | 0.491485 | + | 0.412405i | ||||
\(777\) | −3.68479 | + | 20.8975i | −0.132191 | + | 0.749694i | ||||
\(778\) | −14.8571 | −0.532653 | ||||||||
\(779\) | −0.0760373 | + | 10.3285i | −0.00272432 | + | 0.370057i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0720048 | − | 0.408360i | 0.00257654 | − | 0.0146123i | ||||
\(782\) | 20.3346 | + | 17.0627i | 0.727162 | + | 0.610162i | ||||
\(783\) | 12.5642 | + | 4.57299i | 0.449007 | + | 0.163425i | ||||
\(784\) | 3.25877 | − | 1.18610i | 0.116385 | − | 0.0423606i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −12.9422 | − | 22.4166i | −0.461634 | − | 0.799573i | ||||
\(787\) | −18.0219 | + | 31.2148i | −0.642411 | + | 1.11269i | 0.342483 | + | 0.939524i | \(0.388732\pi\) |
−0.984893 | + | 0.173164i | \(0.944601\pi\) | |||||||
\(788\) | −2.27450 | − | 12.8993i | −0.0810257 | − | 0.459520i | ||||
\(789\) | −3.49092 | − | 19.7980i | −0.124280 | − | 0.704826i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −14.2601 | − | 24.6992i | −0.507031 | − | 0.878204i | ||||
\(792\) | −0.0812519 | + | 0.0681784i | −0.00288716 | + | 0.00242262i | ||||
\(793\) | −10.4385 | + | 3.79931i | −0.370682 | + | 0.134917i | ||||
\(794\) | −8.09374 | − | 2.94588i | −0.287236 | − | 0.104545i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.05257 | + | 17.3120i | −0.108195 | + | 0.613606i | ||||
\(797\) | 3.42190 | 0.121210 | 0.0606050 | − | 0.998162i | \(-0.480697\pi\) | ||||
0.0606050 | + | 0.998162i | \(0.480697\pi\) | |||||||
\(798\) | 4.20574 | + | 11.8253i | 0.148881 | + | 0.418612i | ||||
\(799\) | −29.9067 | −1.05802 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.67752 | + | 1.40761i | 0.0592722 | + | 0.0497353i | ||||
\(802\) | −4.79901 | − | 1.74670i | −0.169459 | − | 0.0616780i | ||||
\(803\) | −2.39780 | + | 0.872729i | −0.0846166 | + | 0.0307979i | ||||
\(804\) | −1.92262 | + | 1.61327i | −0.0678055 | + | 0.0568956i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −8.58037 | + | 14.8616i | −0.302231 | + | 0.523479i | ||||
\(807\) | −5.97359 | − | 33.8779i | −0.210280 | − | 1.19256i | ||||
\(808\) | −1.54664 | − | 8.77141i | −0.0544105 | − | 0.308577i | ||||
\(809\) | −3.73870 | + | 6.47562i | −0.131446 | + | 0.227671i | −0.924234 | − | 0.381826i | \(-0.875295\pi\) |
0.792788 | + | 0.609497i | \(0.208629\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.6810 | − | 31.6181i | 1.32316 | − | 1.11026i | 0.337533 | − | 0.941314i | \(-0.390408\pi\) |
0.985625 | − | 0.168948i | \(-0.0540369\pi\) | |||||||
\(812\) | −4.21941 | + | 1.53574i | −0.148072 | + | 0.0538939i | ||||
\(813\) | 8.30066 | + | 3.02119i | 0.291117 | + | 0.105958i | ||||
\(814\) | −0.917404 | − | 0.769793i | −0.0321550 | − | 0.0269812i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 6.66044 | 0.233162 | ||||||||
\(817\) | 2.45336 | + | 1.44063i | 0.0858323 | + | 0.0504014i | ||||
\(818\) | −28.8307 | −1.00804 | ||||||||
\(819\) | −1.00475 | + | 5.69821i | −0.0351087 | + | 0.199111i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.84611 | − | 3.21972i | −0.308732 | − | 0.112369i | 0.183008 | − | 0.983111i | \(-0.441417\pi\) |
−0.491740 | + | 0.870742i | \(0.663639\pi\) | |||||||
\(822\) | 7.16637 | − | 2.60835i | 0.249956 | − | 0.0909765i | ||||
\(823\) | 32.4165 | − | 27.2007i | 1.12997 | − | 0.948157i | 0.130904 | − | 0.991395i | \(-0.458212\pi\) |
0.999065 | + | 0.0432384i | \(0.0137675\pi\) | |||||||
\(824\) | −4.12449 | − | 7.14382i | −0.143683 | − | 0.248867i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.33110 | + | 7.54904i | 0.0463149 | + | 0.262665i | ||||
\(827\) | −4.63950 | − | 26.3119i | −0.161331 | − | 0.914955i | −0.952767 | − | 0.303702i | \(-0.901777\pi\) |
0.791436 | − | 0.611252i | \(-0.209334\pi\) | |||||||
\(828\) | −1.99273 | + | 3.45150i | −0.0692520 | + | 0.119948i | ||||
\(829\) | −7.24257 | − | 12.5445i | −0.251545 | − | 0.435689i | 0.712406 | − | 0.701767i | \(-0.247605\pi\) |
−0.963951 | + | 0.266078i | \(0.914272\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −28.4675 | + | 10.3613i | −0.987527 | + | 0.359430i | ||||
\(832\) | −4.43242 | − | 1.61327i | −0.153666 | − | 0.0559300i | ||||
\(833\) | −11.5489 | − | 9.69069i | −0.400146 | − | 0.335763i | ||||
\(834\) | 4.98158 | − | 28.2520i | 0.172498 | − | 0.978285i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −0.696652 | − | 0.128134i | −0.0240942 | − | 0.00443159i | ||||
\(837\) | 20.3601 | 0.703748 | ||||||||
\(838\) | 1.33069 | − | 7.54671i | 0.0459679 | − | 0.260697i | ||||
\(839\) | 0.409663 | + | 0.343748i | 0.0141431 | + | 0.0118675i | 0.649832 | − | 0.760078i | \(-0.274839\pi\) |
−0.635689 | + | 0.771946i | \(0.719284\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.8871 | − | 7.96626i | 0.754728 | − | 0.274699i | ||||
\(842\) | −5.14930 | + | 4.32078i | −0.177457 | + | 0.148904i | ||||
\(843\) | −24.2854 | − | 42.0635i | −0.836433 | − | 1.44875i | ||||
\(844\) | 12.3687 | − | 21.4232i | 0.425748 | − | 0.737418i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −0.779715 | − | 4.42198i | −0.0268072 | − | 0.152031i | ||||
\(847\) | 10.3118 | − | 17.8606i | 0.354318 | − | 0.613696i | ||||
\(848\) | 2.97178 | + | 5.14728i | 0.102051 | + | 0.176758i | ||||
\(849\) | 3.45155 | − | 2.89620i | 0.118457 | − | 0.0993972i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −42.2854 | − | 15.3906i | −1.44952 | − | 0.527584i | ||||
\(852\) | −2.99479 | − | 2.51292i | −0.102600 | − | 0.0860913i | ||||
\(853\) | 1.08424 | − | 6.14906i | 0.0371238 | − | 0.210540i | −0.960603 | − | 0.277923i | \(-0.910354\pi\) |
0.997727 | + | 0.0673834i | \(0.0214651\pi\) | |||||||
\(854\) | −4.42602 | −0.151455 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.66044 | 0.125111 | ||||||||
\(857\) | 2.31996 | − | 13.1571i | 0.0792482 | − | 0.449439i | −0.919202 | − | 0.393786i | \(-0.871165\pi\) |
0.998450 | − | 0.0556524i | \(-0.0177239\pi\) | |||||||
\(858\) | 0.899615 | + | 0.754866i | 0.0307123 | + | 0.0257707i | ||||
\(859\) | 6.98070 | + | 2.54077i | 0.238179 | + | 0.0866899i | 0.458352 | − | 0.888771i | \(-0.348440\pi\) |
−0.220173 | + | 0.975461i | \(0.570662\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 5.22668 | − | 4.38571i | 0.178125 | − | 0.149464i | ||||
\(862\) | 8.17886 | + | 14.1662i | 0.278573 | + | 0.482503i | ||||
\(863\) | −9.23277 | + | 15.9916i | −0.314287 | + | 0.544362i | −0.979286 | − | 0.202483i | \(-0.935099\pi\) |
0.664998 | + | 0.746845i | \(0.268432\pi\) | |||||||
\(864\) | 0.971782 | + | 5.51125i | 0.0330607 | + | 0.187496i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −5.10354 | + | 8.83959i | −0.173425 | + | 0.300382i | ||||
\(867\) | −1.45471 | − | 2.51963i | −0.0494045 | − | 0.0855710i | ||||
\(868\) | −5.23783 | + | 4.39506i | −0.177783 | + | 0.149178i | ||||
\(869\) | −0.152704 | + | 0.0555796i | −0.00518012 | + | 0.00188541i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.91921 | − | 4.96681i | −0.200565 | − | 0.168294i | ||||
\(872\) | −0.561652 | + | 3.18528i | −0.0190199 | + | 0.107867i | ||||
\(873\) | 11.6655 | 0.394817 | ||||||||
\(874\) | −26.2447 | + | 4.42869i | −0.887740 | + | 0.149803i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.17752 | + | 23.6919i | −0.141145 | + | 0.800475i | ||||
\(877\) | 11.4349 | + | 9.59506i | 0.386131 | + | 0.324002i | 0.815104 | − | 0.579315i | \(-0.196680\pi\) |
−0.428973 | + | 0.903317i | \(0.641124\pi\) | |||||||
\(878\) | −8.95723 | − | 3.26017i | −0.302292 | − | 0.110025i | ||||
\(879\) | −23.4636 | + | 8.54006i | −0.791409 | + | 0.288049i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 11.8491 | + | 20.5233i | 0.399207 | + | 0.691446i | 0.993628 | − | 0.112707i | \(-0.0359523\pi\) |
−0.594422 | + | 0.804154i | \(0.702619\pi\) | |||||||
\(882\) | 1.13176 | − | 1.96026i | 0.0381083 | − | 0.0660055i | ||||
\(883\) | 2.33868 | + | 13.2633i | 0.0787028 | + | 0.446346i | 0.998539 | + | 0.0540423i | \(0.0172106\pi\) |
−0.919836 | + | 0.392303i | \(0.871678\pi\) | |||||||
\(884\) | 3.56077 | + | 20.1942i | 0.119762 | + | 0.679203i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.99138 | + | 5.18123i | 0.100497 | + | 0.174067i | ||||
\(887\) | 21.2017 | − | 17.7903i | 0.711884 | − | 0.597341i | −0.213243 | − | 0.976999i | \(-0.568403\pi\) |
0.925127 | + | 0.379658i | \(0.123958\pi\) | |||||||
\(888\) | −10.6099 | + | 3.86170i | −0.356046 | + | 0.129590i | ||||
\(889\) | −35.2301 | − | 12.8227i | −1.18158 | − | 0.430060i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.186690 | − | 1.05877i | 0.00625434 | − | 0.0354701i | ||||
\(892\) | 15.2003 | 0.508943 | ||||||||
\(893\) | 19.4436 | − | 22.8285i | 0.650654 | − | 0.763927i | ||||
\(894\) | 20.4953 | 0.685464 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.43969 | − | 1.20805i | −0.0480968 | − | 0.0403580i | ||||
\(897\) | 41.4654 | + | 15.0922i | 1.38449 | + | 0.503913i | ||||
\(898\) | −14.4290 | + | 5.25173i | −0.481502 | + | 0.175253i | ||||
\(899\) | −6.65863 | + | 5.58726i | −0.222078 | + | 0.186345i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9192 | − | 22.3767i | 0.430401 | − | 0.745477i | ||||
\(902\) | 0.0668661 | + | 0.379217i | 0.00222640 | + | 0.0126265i | ||||
\(903\) | −0.326352 | − | 1.85083i | −0.0108603 | − | 0.0615919i | ||||
\(904\) | 7.58765 | − | 13.1422i | 0.252361 | − | 0.437103i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 17.4461 | − | 14.6390i | 0.579607 | − | 0.486348i | ||||
\(907\) | 0.426022 | − | 0.155059i | 0.0141458 | − | 0.00514866i | −0.334938 | − | 0.942240i | \(-0.608715\pi\) |
0.349083 | + | 0.937092i | \(0.386493\pi\) | |||||||
\(908\) | −17.5697 | − | 6.39485i | −0.583071 | − | 0.212220i | ||||
\(909\) | −4.45336 | − | 3.73682i | −0.147709 | − | 0.123942i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 48.6492 | 1.61182 | 0.805910 | − | 0.592038i | \(-0.201677\pi\) | ||||
0.805910 | + | 0.592038i | \(0.201677\pi\) | |||||||
\(912\) | −4.33022 | + | 5.08407i | −0.143388 | + | 0.168351i | ||||
\(913\) | −0.166126 | −0.00549796 | ||||||||
\(914\) | 1.97936 | − | 11.2255i | 0.0654714 | − | 0.371307i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 18.7087 | + | 6.80942i | 0.618154 | + | 0.224990i | ||||
\(917\) | 29.8371 | − | 10.8598i | 0.985307 | − | 0.358623i | ||||
\(918\) | 18.6368 | − | 15.6381i | 0.615106 | − | 0.516136i | ||||
\(919\) | −16.7733 | − | 29.0522i | −0.553301 | − | 0.958345i | −0.998034 | − | 0.0626817i | \(-0.980035\pi\) |
0.444733 | − | 0.895663i | \(-0.353299\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.90167 | − | 33.4701i | −0.194467 | − | 1.10288i | ||||
\(922\) | 7.01930 | + | 39.8084i | 0.231168 | + | 1.31102i | ||||
\(923\) | 6.01801 | − | 10.4235i | 0.198085 | − | 0.343094i | ||||
\(924\) | 0.233956 | + | 0.405223i | 0.00769657 | + | 0.0133309i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 9.35591 | − | 3.40527i | 0.307454 | − | 0.111904i | ||||
\(927\) | −5.05943 | − | 1.84148i | −0.166173 | − | 0.0604822i | ||||
\(928\) | −1.83022 | − | 1.53574i | −0.0600800 | − | 0.0504131i | ||||
\(929\) | −6.50016 | + | 36.8643i | −0.213263 | + | 1.20948i | 0.670631 | + | 0.741791i | \(0.266023\pi\) |
−0.883895 | + | 0.467686i | \(0.845088\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.9055 | − | 2.51525i | 0.488509 | − | 0.0824340i | ||||
\(932\) | 27.9786 | 0.916471 | ||||||||
\(933\) | −2.37417 | + | 13.4646i | −0.0777269 | + | 0.440811i | ||||
\(934\) | 4.29607 | + | 3.60483i | 0.140572 | + | 0.117954i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −2.89306 | + | 1.05299i | −0.0945625 | + | 0.0344179i | ||||
\(937\) | −2.76533 | + | 2.32039i | −0.0903394 | + | 0.0758037i | −0.686839 | − | 0.726810i | \(-0.741002\pi\) |
0.596500 | + | 0.802613i | \(0.296558\pi\) | |||||||
\(938\) | −1.53936 | − | 2.66625i | −0.0502620 | − | 0.0870563i | ||||
\(939\) | −14.0385 | + | 24.3154i | −0.458129 | + | 0.793502i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.28540 | − | 35.6463i | −0.204898 | − | 1.16203i | −0.897600 | − | 0.440811i | \(-0.854691\pi\) |
0.692702 | − | 0.721224i | \(-0.256420\pi\) | |||||||
\(942\) | 5.70574 | − | 9.88263i | 0.185903 | − | 0.321993i | ||||
\(943\) | 7.23442 | + | 12.5304i | 0.235585 | + | 0.408046i | ||||
\(944\) | −3.12449 | + | 2.62175i | −0.101693 | + | 0.0853308i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0996702 | + | 0.0362770i | 0.00324056 | + | 0.00117947i | ||||
\(947\) | 22.7388 | + | 19.0801i | 0.738910 | + | 0.620019i | 0.932545 | − | 0.361054i | \(-0.117583\pi\) |
−0.193634 | + | 0.981074i | \(0.562028\pi\) | |||||||
\(948\) | −0.266044 | + | 1.50881i | −0.00864072 | + | 0.0490040i | ||||
\(949\) | −74.0660 | −2.40429 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 37.1712 | 1.20536 | ||||||||
\(952\) | −1.41875 | + | 8.04612i | −0.0459819 | + | 0.260776i | ||||
\(953\) | −11.3300 | − | 9.50698i | −0.367014 | − | 0.307961i | 0.440565 | − | 0.897721i | \(-0.354778\pi\) |
−0.807579 | + | 0.589759i | \(0.799223\pi\) | |||||||
\(954\) | 3.64543 | + | 1.32683i | 0.118025 | + | 0.0429576i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −20.1951 | + | 16.9457i | −0.653155 | + | 0.548062i | ||||
\(957\) | 0.297418 | + | 0.515143i | 0.00961416 | + | 0.0166522i | ||||
\(958\) | −12.3648 | + | 21.4165i | −0.399490 | + | 0.691937i | ||||
\(959\) | 1.62449 | + | 9.21291i | 0.0524574 | + | 0.297500i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 8.88191 | − | 15.3839i | 0.286513 | − | 0.496256i | ||||
\(962\) | −17.3807 | − | 30.1043i | −0.560377 | − | 0.970602i | ||||
\(963\) | 1.83022 | − | 1.53574i | 0.0589781 | − | 0.0494885i | ||||
\(964\) | −16.1395 | + | 5.87430i | −0.519818 | + | 0.189198i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 13.4684 | + | 11.3013i | 0.433338 | + | 0.363614i | ||||
\(967\) | −7.80288 | + | 44.2523i | −0.250924 | + | 1.42306i | 0.555399 | + | 0.831584i | \(0.312565\pi\) |
−0.806323 | + | 0.591475i | \(0.798546\pi\) | |||||||
\(968\) | 10.9736 | 0.352705 | ||||||||
\(969\) | 28.5533 | + | 5.25173i | 0.917263 | + | 0.168710i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −6.95946 | + | 39.4690i | −0.223340 | + | 1.26662i | 0.642495 | + | 0.766290i | \(0.277900\pi\) |
−0.865834 | + | 0.500331i | \(0.833212\pi\) | |||||||
\(972\) | 5.09627 | + | 4.27628i | 0.163463 | + | 0.137162i | ||||
\(973\) | 33.0685 | + | 12.0360i | 1.06013 | + | 0.385855i | ||||
\(974\) | −12.2071 | + | 4.44301i | −0.391140 | + | 0.142363i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.17752 | − | 2.03952i | −0.0376915 | − | 0.0652835i | ||||
\(977\) | −25.6109 | + | 44.3593i | −0.819364 | + | 1.41918i | 0.0867869 | + | 0.996227i | \(0.472340\pi\) |
−0.906151 | + | 0.422954i | \(0.860993\pi\) | |||||||
\(978\) | 1.79632 | + | 10.1875i | 0.0574401 | + | 0.325759i | ||||
\(979\) | 0.0946741 | + | 0.536923i | 0.00302580 | + | 0.0171601i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 1.05556 | + | 1.82828i | 0.0337014 | + | 0.0583726i | ||||
\(982\) | −14.2947 | + | 11.9947i | −0.456163 | + | 0.382766i | ||||
\(983\) | 8.59792 | − | 3.12939i | 0.274231 | − | 0.0998119i | −0.201244 | − | 0.979541i | \(-0.564498\pi\) |
0.475475 | + | 0.879729i | \(0.342276\pi\) | |||||||
\(984\) | 3.41147 | + | 1.24168i | 0.108754 | + | 0.0395832i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.80360 | + | 10.2287i | −0.0574382 | + | 0.325748i | ||||
\(987\) | −19.8084 | −0.630508 | ||||||||
\(988\) | −17.7297 | − | 10.4110i | −0.564056 | − | 0.331218i | ||||
\(989\) | 3.98545 | 0.126730 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.2153 | − | 17.8017i | −0.673926 | − | 0.565491i | 0.240299 | − | 0.970699i | \(-0.422755\pi\) |
−0.914224 | + | 0.405208i | \(0.867199\pi\) | |||||||
\(992\) | −3.41875 | − | 1.24432i | −0.108545 | − | 0.0395073i | ||||
\(993\) | −48.6541 | + | 17.7086i | −1.54399 | + | 0.561967i | ||||
\(994\) | 3.67365 | − | 3.08256i | 0.116521 | − | 0.0977728i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.783119 | + | 1.35640i | −0.0248141 | + | 0.0429792i | ||||
\(997\) | −6.28328 | − | 35.6343i | −0.198993 | − | 1.12855i | −0.906616 | − | 0.421957i | \(-0.861343\pi\) |
0.707622 | − | 0.706591i | \(-0.249768\pi\) | |||||||
\(998\) | 3.00016 | + | 17.0148i | 0.0949685 | + | 0.538593i | ||||
\(999\) | −20.6211 | + | 35.7168i | −0.652422 | + | 1.13003i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.l.f.701.1 | yes | 6 | |
5.2 | odd | 4 | 950.2.u.a.549.1 | 12 | |||
5.3 | odd | 4 | 950.2.u.a.549.2 | 12 | |||
5.4 | even | 2 | 950.2.l.a.701.1 | yes | 6 | ||
19.9 | even | 9 | inner | 950.2.l.f.351.1 | yes | 6 | |
95.9 | even | 18 | 950.2.l.a.351.1 | ✓ | 6 | ||
95.28 | odd | 36 | 950.2.u.a.199.1 | 12 | |||
95.47 | odd | 36 | 950.2.u.a.199.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.l.a.351.1 | ✓ | 6 | 95.9 | even | 18 | ||
950.2.l.a.701.1 | yes | 6 | 5.4 | even | 2 | ||
950.2.l.f.351.1 | yes | 6 | 19.9 | even | 9 | inner | |
950.2.l.f.701.1 | yes | 6 | 1.1 | even | 1 | trivial | |
950.2.u.a.199.1 | 12 | 95.28 | odd | 36 | |||
950.2.u.a.199.2 | 12 | 95.47 | odd | 36 | |||
950.2.u.a.549.1 | 12 | 5.2 | odd | 4 | |||
950.2.u.a.549.2 | 12 | 5.3 | odd | 4 |