Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
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([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not 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: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 899.2 | ||
Root | \(0.342020 + 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.899 |
Dual form | 950.2.u.b.149.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | + | 0.766044i | 0.454519 | + | 0.541675i | ||||
\(3\) | −0.524005 | + | 1.43969i | −0.302535 | + | 0.831207i | 0.691523 | + | 0.722354i | \(0.256940\pi\) |
−0.994058 | + | 0.108853i | \(0.965282\pi\) | |||||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.43969 | + | 0.524005i | −0.587752 | + | 0.213924i | ||||
\(7\) | −2.33359 | − | 1.34730i | −0.882013 | − | 0.509230i | −0.0106911 | − | 0.999943i | \(-0.503403\pi\) |
−0.871321 | + | 0.490713i | \(0.836736\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0.500000 | + | 0.419550i | 0.166667 | + | 0.139850i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.59240 | − | 2.75811i | −0.480126 | − | 0.831602i | 0.519615 | − | 0.854401i | \(-0.326076\pi\) |
−0.999740 | + | 0.0227990i | \(0.992742\pi\) | |||||||
\(12\) | −1.32683 | − | 0.766044i | −0.383022 | − | 0.221138i | ||||
\(13\) | −1.96962 | − | 5.41147i | −0.546273 | − | 1.50087i | −0.838705 | − | 0.544586i | \(-0.816687\pi\) |
0.292432 | − | 0.956286i | \(-0.405536\pi\) | |||||||
\(14\) | −0.467911 | − | 2.65366i | −0.125055 | − | 0.709219i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −4.18939 | − | 4.99273i | −1.01608 | − | 1.21091i | −0.977342 | − | 0.211664i | \(-0.932112\pi\) |
−0.0387350 | − | 0.999250i | \(-0.512333\pi\) | |||||||
\(18\) | 0.652704i | 0.153844i | ||||||||
\(19\) | −2.82635 | + | 3.31839i | −0.648410 | + | 0.761292i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.16250 | − | 2.65366i | 0.690115 | − | 0.579075i | ||||
\(22\) | 1.08926 | − | 2.99273i | 0.232232 | − | 0.638051i | ||||
\(23\) | 0.684040 | + | 0.120615i | 0.142632 | + | 0.0251499i | 0.244508 | − | 0.969647i | \(-0.421373\pi\) |
−0.101876 | + | 0.994797i | \(0.532485\pi\) | |||||||
\(24\) | −0.266044 | − | 1.50881i | −0.0543061 | − | 0.307985i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.87939 | − | 4.98724i | 0.564694 | − | 0.978079i | ||||
\(27\) | −4.84651 | + | 2.79813i | −0.932711 | + | 0.538501i | ||||
\(28\) | 1.73205 | − | 2.06418i | 0.327327 | − | 0.390093i | ||||
\(29\) | 2.16250 | + | 1.81456i | 0.401567 | + | 0.336955i | 0.821099 | − | 0.570786i | \(-0.193361\pi\) |
−0.419532 | + | 0.907741i | \(0.637806\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.22668 | + | 2.12467i | −0.220319 | + | 0.381603i | −0.954905 | − | 0.296913i | \(-0.904043\pi\) |
0.734586 | + | 0.678515i | \(0.237376\pi\) | |||||||
\(32\) | −0.342020 | − | 0.939693i | −0.0604612 | − | 0.166116i | ||||
\(33\) | 4.80526 | − | 0.847296i | 0.836488 | − | 0.147495i | ||||
\(34\) | 1.13176 | − | 6.41852i | 0.194095 | − | 1.10077i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 0.419550i | −0.0833333 | + | 0.0699250i | ||||
\(37\) | − | 4.36959i | − | 0.718355i | −0.933269 | − | 0.359178i | \(-0.883057\pi\) | ||
0.933269 | − | 0.359178i | \(-0.116943\pi\) | |||||||
\(38\) | −4.35878 | − | 0.0320889i | −0.707088 | − | 0.00520550i | ||||
\(39\) | 8.82295 | 1.41280 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.326352 | + | 0.118782i | 0.0509676 | + | 0.0185507i | 0.367378 | − | 0.930072i | \(-0.380255\pi\) |
−0.316411 | + | 0.948622i | \(0.602478\pi\) | |||||||
\(42\) | 4.06564 | + | 0.716881i | 0.627341 | + | 0.110617i | ||||
\(43\) | 5.97205 | − | 1.05303i | 0.910729 | − | 0.160586i | 0.301395 | − | 0.953499i | \(-0.402548\pi\) |
0.609334 | + | 0.792913i | \(0.291437\pi\) | |||||||
\(44\) | 2.99273 | − | 1.08926i | 0.451170 | − | 0.164213i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.347296 | + | 0.601535i | 0.0512061 | + | 0.0886915i | ||||
\(47\) | −5.06975 | + | 6.04189i | −0.739499 | + | 0.881300i | −0.996368 | − | 0.0851459i | \(-0.972864\pi\) |
0.256870 | + | 0.966446i | \(0.417309\pi\) | |||||||
\(48\) | 0.984808 | − | 1.17365i | 0.142145 | − | 0.169402i | ||||
\(49\) | 0.130415 | + | 0.225885i | 0.0186307 | + | 0.0322693i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 9.38326 | − | 3.41523i | 1.31392 | − | 0.478227i | ||||
\(52\) | 5.67128 | − | 1.00000i | 0.786465 | − | 0.138675i | ||||
\(53\) | −8.08737 | − | 1.42602i | −1.11089 | − | 0.195879i | −0.412050 | − | 0.911161i | \(-0.635187\pi\) |
−0.698836 | + | 0.715282i | \(0.746298\pi\) | |||||||
\(54\) | −5.25877 | − | 1.91404i | −0.715628 | − | 0.260467i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.69459 | 0.360080 | ||||||||
\(57\) | −3.29644 | − | 5.80793i | −0.436625 | − | 0.769280i | ||||
\(58\) | 2.82295i | 0.370671i | ||||||||
\(59\) | −0.439693 | + | 0.368946i | −0.0572431 | + | 0.0480327i | −0.670960 | − | 0.741493i | \(-0.734118\pi\) |
0.613717 | + | 0.789526i | \(0.289673\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.509800 | − | 2.89122i | 0.0652732 | − | 0.370183i | −0.934621 | − | 0.355645i | \(-0.884261\pi\) |
0.999894 | − | 0.0145378i | \(-0.00462769\pi\) | |||||||
\(62\) | −2.41609 | + | 0.426022i | −0.306844 | + | 0.0541049i | ||||
\(63\) | −0.601535 | − | 1.65270i | −0.0757863 | − | 0.208221i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 3.73783 | + | 3.13641i | 0.460095 | + | 0.386065i | ||||
\(67\) | 3.18701 | − | 3.79813i | 0.389356 | − | 0.464016i | −0.535388 | − | 0.844606i | \(-0.679835\pi\) |
0.924744 | + | 0.380590i | \(0.124279\pi\) | |||||||
\(68\) | 5.64436 | − | 3.25877i | 0.684479 | − | 0.395184i | ||||
\(69\) | −0.532089 | + | 0.921605i | −0.0640560 | + | 0.110948i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.46791 | − | 8.32494i | −0.174209 | − | 0.987988i | −0.939053 | − | 0.343773i | \(-0.888295\pi\) |
0.764844 | − | 0.644216i | \(-0.222816\pi\) | |||||||
\(72\) | −0.642788 | − | 0.113341i | −0.0757532 | − | 0.0133573i | ||||
\(73\) | −5.39246 | + | 14.8157i | −0.631140 | + | 1.73404i | 0.0467771 | + | 0.998905i | \(0.485105\pi\) |
−0.677917 | + | 0.735138i | \(0.737117\pi\) | |||||||
\(74\) | 3.34730 | − | 2.80872i | 0.389115 | − | 0.326507i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.77719 | − | 3.35965i | −0.318565 | − | 0.385378i | ||||
\(77\) | 8.58172i | 0.977978i | ||||||||
\(78\) | 5.67128 | + | 6.75877i | 0.642146 | + | 0.765280i | ||||
\(79\) | −8.51754 | − | 3.10013i | −0.958298 | − | 0.348792i | −0.184932 | − | 0.982751i | \(-0.559206\pi\) |
−0.773366 | + | 0.633959i | \(0.781429\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.14883 | − | 6.51536i | −0.127648 | − | 0.723929i | ||||
\(82\) | 0.118782 | + | 0.326352i | 0.0131173 | + | 0.0360395i | ||||
\(83\) | 7.34013 | + | 4.23783i | 0.805684 | + | 0.465162i | 0.845455 | − | 0.534047i | \(-0.179329\pi\) |
−0.0397709 | + | 0.999209i | \(0.512663\pi\) | |||||||
\(84\) | 2.06418 | + | 3.57526i | 0.225220 | + | 0.390093i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.64543 | + | 3.89798i | 0.500930 | + | 0.420330i | ||||
\(87\) | −3.74557 | + | 2.16250i | −0.401567 | + | 0.231845i | ||||
\(88\) | 2.75811 | + | 1.59240i | 0.294016 | + | 0.169750i | ||||
\(89\) | 7.27244 | − | 2.64695i | 0.770877 | − | 0.280576i | 0.0735139 | − | 0.997294i | \(-0.476579\pi\) |
0.697363 | + | 0.716718i | \(0.254356\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.69459 | + | 15.2818i | −0.282470 | + | 1.60197i | ||||
\(92\) | −0.237565 | + | 0.652704i | −0.0247678 | + | 0.0680491i | ||||
\(93\) | −2.41609 | − | 2.87939i | −0.250537 | − | 0.298578i | ||||
\(94\) | −7.88713 | −0.813495 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | −0.223238 | − | 0.266044i | −0.0226664 | − | 0.0270127i | 0.754592 | − | 0.656194i | \(-0.227835\pi\) |
−0.777259 | + | 0.629181i | \(0.783390\pi\) | |||||||
\(98\) | −0.0892091 | + | 0.245100i | −0.00901148 | + | 0.0247588i | ||||
\(99\) | 0.360967 | − | 2.04715i | 0.0362785 | − | 0.205746i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.347296 | − | 0.126406i | 0.0345573 | − | 0.0125778i | −0.324684 | − | 0.945823i | \(-0.605258\pi\) |
0.359241 | + | 0.933245i | \(0.383036\pi\) | |||||||
\(102\) | 8.64766 | + | 4.99273i | 0.856245 | + | 0.494354i | ||||
\(103\) | −7.43199 | + | 4.29086i | −0.732295 | + | 0.422791i | −0.819261 | − | 0.573420i | \(-0.805616\pi\) |
0.0869659 | + | 0.996211i | \(0.472283\pi\) | |||||||
\(104\) | 4.41147 | + | 3.70167i | 0.432581 | + | 0.362978i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.10607 | − | 7.11192i | −0.398816 | − | 0.690770i | ||||
\(107\) | 9.91890 | + | 5.72668i | 0.958897 | + | 0.553619i | 0.895833 | − | 0.444390i | \(-0.146580\pi\) |
0.0630633 | + | 0.998010i | \(0.479913\pi\) | |||||||
\(108\) | −1.91404 | − | 5.25877i | −0.184178 | − | 0.506025i | ||||
\(109\) | −1.50980 | − | 8.56250i | −0.144613 | − | 0.820139i | −0.967677 | − | 0.252191i | \(-0.918849\pi\) |
0.823065 | − | 0.567948i | \(-0.192262\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 6.29086 | + | 2.28969i | 0.597102 | + | 0.217327i | ||||
\(112\) | 1.73205 | + | 2.06418i | 0.163663 | + | 0.195046i | ||||
\(113\) | − | 2.85978i | − | 0.269026i | −0.990912 | − | 0.134513i | \(-0.957053\pi\) | ||
0.990912 | − | 0.134513i | \(-0.0429470\pi\) | |||||||
\(114\) | 2.33022 | − | 6.25849i | 0.218245 | − | 0.586161i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.16250 | + | 1.81456i | −0.200783 | + | 0.168477i | ||||
\(117\) | 1.28558 | − | 3.53209i | 0.118851 | − | 0.326542i | ||||
\(118\) | −0.565258 | − | 0.0996702i | −0.0520362 | − | 0.00917539i | ||||
\(119\) | 3.04963 | + | 17.2953i | 0.279559 | + | 1.58546i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.428548 | − | 0.742267i | 0.0389589 | − | 0.0674789i | ||||
\(122\) | 2.54250 | − | 1.46791i | 0.230187 | − | 0.132898i | ||||
\(123\) | −0.342020 | + | 0.407604i | −0.0308389 | + | 0.0367524i | ||||
\(124\) | −1.87939 | − | 1.57699i | −0.168774 | − | 0.141618i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.879385 | − | 1.52314i | 0.0783419 | − | 0.135692i | ||||
\(127\) | −3.32774 | − | 9.14290i | −0.295290 | − | 0.811301i | −0.995271 | − | 0.0971401i | \(-0.969030\pi\) |
0.699981 | − | 0.714161i | \(-0.253192\pi\) | |||||||
\(128\) | 0.984808 | − | 0.173648i | 0.0870455 | − | 0.0153485i | ||||
\(129\) | −1.61334 | + | 9.14971i | −0.142047 | + | 0.805587i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.95471 | + | 4.15749i | −0.432895 | + | 0.363242i | −0.833043 | − | 0.553209i | \(-0.813403\pi\) |
0.400148 | + | 0.916451i | \(0.368959\pi\) | |||||||
\(132\) | 4.87939i | 0.424696i | ||||||||
\(133\) | 11.0664 | − | 3.93582i | 0.959578 | − | 0.341279i | ||||
\(134\) | 4.95811 | 0.428316 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.12449 | + | 2.22913i | 0.525170 | + | 0.191146i | ||||
\(137\) | −11.4833 | − | 2.02481i | −0.981084 | − | 0.172992i | −0.339969 | − | 0.940437i | \(-0.610417\pi\) |
−0.641115 | + | 0.767445i | \(0.721528\pi\) | |||||||
\(138\) | −1.04801 | + | 0.184793i | −0.0892126 | + | 0.0157306i | ||||
\(139\) | −7.76517 | + | 2.82629i | −0.658633 | + | 0.239723i | −0.649646 | − | 0.760237i | \(-0.725083\pi\) |
−0.00898688 | + | 0.999960i | \(0.502861\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.04189 | − | 10.4649i | −0.508819 | − | 0.881300i | ||||
\(142\) | 5.43372 | − | 6.47565i | 0.455987 | − | 0.543425i | ||||
\(143\) | −11.7890 | + | 14.0496i | −0.985849 | + | 1.17489i | ||||
\(144\) | −0.326352 | − | 0.565258i | −0.0271960 | − | 0.0471048i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −14.8157 | + | 5.39246i | −1.22615 | + | 0.446284i | ||||
\(147\) | −0.393544 | + | 0.0693923i | −0.0324589 | + | 0.00572338i | ||||
\(148\) | 4.30320 | + | 0.758770i | 0.353721 | + | 0.0623705i | ||||
\(149\) | −15.4611 | − | 5.62738i | −1.26662 | − | 0.461013i | −0.380637 | − | 0.924725i | \(-0.624295\pi\) |
−0.885986 | + | 0.463712i | \(0.846517\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.65539 | 0.378850 | 0.189425 | − | 0.981895i | \(-0.439338\pi\) | ||||
0.189425 | + | 0.981895i | \(0.439338\pi\) | |||||||
\(152\) | 0.788496 | − | 4.28699i | 0.0639554 | − | 0.347721i | ||||
\(153\) | − | 4.25402i | − | 0.343917i | ||||||
\(154\) | −6.57398 | + | 5.51622i | −0.529746 | + | 0.444510i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −1.53209 | + | 8.68891i | −0.122665 | + | 0.695669i | ||||
\(157\) | −8.32494 | + | 1.46791i | −0.664402 | + | 0.117152i | −0.495671 | − | 0.868510i | \(-0.665078\pi\) |
−0.168731 | + | 0.985662i | \(0.553967\pi\) | |||||||
\(158\) | −3.10013 | − | 8.51754i | −0.246633 | − | 0.677619i | ||||
\(159\) | 6.29086 | − | 10.8961i | 0.498898 | − | 0.864116i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.43376 | − | 1.20307i | −0.112996 | − | 0.0948152i | ||||
\(162\) | 4.25260 | − | 5.06805i | 0.334116 | − | 0.398183i | ||||
\(163\) | −14.7654 | + | 8.52481i | −1.15652 | + | 0.667715i | −0.950467 | − | 0.310826i | \(-0.899394\pi\) |
−0.206050 | + | 0.978542i | \(0.566061\pi\) | |||||||
\(164\) | −0.173648 | + | 0.300767i | −0.0135596 | + | 0.0234860i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.47178 | + | 8.34689i | 0.114232 | + | 0.647844i | ||||
\(167\) | −3.14403 | − | 0.554378i | −0.243292 | − | 0.0428990i | 0.0506721 | − | 0.998715i | \(-0.483864\pi\) |
−0.293965 | + | 0.955816i | \(0.594975\pi\) | |||||||
\(168\) | −1.41198 | + | 3.87939i | −0.108937 | + | 0.299301i | ||||
\(169\) | −15.4461 | + | 12.9608i | −1.18816 | + | 0.996985i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −2.80541 | + | 0.473401i | −0.214535 | + | 0.0362019i | ||||
\(172\) | 6.06418i | 0.462389i | ||||||||
\(173\) | −6.19031 | − | 7.37733i | −0.470641 | − | 0.560888i | 0.477544 | − | 0.878608i | \(-0.341527\pi\) |
−0.948185 | + | 0.317720i | \(0.897083\pi\) | |||||||
\(174\) | −4.06418 | − | 1.47924i | −0.308105 | − | 0.112141i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.553033 | + | 3.13641i | 0.0416865 | + | 0.236416i | ||||
\(177\) | −0.300767 | − | 0.826352i | −0.0226071 | − | 0.0621124i | ||||
\(178\) | 6.70232 | + | 3.86959i | 0.502360 | + | 0.290038i | ||||
\(179\) | 9.40807 | + | 16.2953i | 0.703192 | + | 1.21796i | 0.967340 | + | 0.253482i | \(0.0815760\pi\) |
−0.264148 | + | 0.964482i | \(0.585091\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.12836 | + | 1.78590i | 0.158199 | + | 0.132745i | 0.718451 | − | 0.695577i | \(-0.244851\pi\) |
−0.560252 | + | 0.828322i | \(0.689296\pi\) | |||||||
\(182\) | −13.4386 | + | 7.75877i | −0.996134 | + | 0.575118i | ||||
\(183\) | 3.89533 | + | 2.24897i | 0.287951 | + | 0.166249i | ||||
\(184\) | −0.652704 | + | 0.237565i | −0.0481180 | + | 0.0175135i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.652704 | − | 3.70167i | 0.0478586 | − | 0.271419i | ||||
\(187\) | −7.09932 | + | 19.5052i | −0.519154 | + | 1.42636i | ||||
\(188\) | −5.06975 | − | 6.04189i | −0.369749 | − | 0.440650i | ||||
\(189\) | 15.0797 | 1.09688 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.56212 | 0.691891 | 0.345945 | − | 0.938255i | \(-0.387558\pi\) | ||||
0.345945 | + | 0.938255i | \(0.387558\pi\) | |||||||
\(192\) | 0.984808 | + | 1.17365i | 0.0710724 | + | 0.0847008i | ||||
\(193\) | 8.09937 | − | 22.2528i | 0.583006 | − | 1.60179i | −0.200011 | − | 0.979794i | \(-0.564098\pi\) |
0.783017 | − | 0.622001i | \(-0.213680\pi\) | |||||||
\(194\) | 0.0603074 | − | 0.342020i | 0.00432982 | − | 0.0245556i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.245100 | + | 0.0892091i | −0.0175071 | + | 0.00637208i | ||||
\(197\) | 19.8512 | + | 11.4611i | 1.41434 | + | 0.816570i | 0.995794 | − | 0.0916253i | \(-0.0292062\pi\) |
0.418547 | + | 0.908195i | \(0.362540\pi\) | |||||||
\(198\) | 1.80023 | − | 1.03936i | 0.127937 | − | 0.0738643i | ||||
\(199\) | −7.72462 | − | 6.48173i | −0.547584 | − | 0.459477i | 0.326538 | − | 0.945184i | \(-0.394118\pi\) |
−0.874122 | + | 0.485707i | \(0.838562\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.79813 | + | 6.57856i | 0.267900 | + | 0.464016i | ||||
\(202\) | 0.320070 | + | 0.184793i | 0.0225201 | + | 0.0130020i | ||||
\(203\) | −2.60164 | − | 7.14796i | −0.182600 | − | 0.501688i | ||||
\(204\) | 1.73396 | + | 9.83375i | 0.121401 | + | 0.688500i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −8.06418 | − | 2.93512i | −0.561858 | − | 0.204500i | ||||
\(207\) | 0.291416 | + | 0.347296i | 0.0202548 | + | 0.0241388i | ||||
\(208\) | 5.75877i | 0.399299i | ||||||||
\(209\) | 13.6532 | + | 2.51120i | 0.944410 | + | 0.173703i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −17.1288 | + | 14.3728i | −1.17920 | + | 0.989464i | −0.179213 | + | 0.983810i | \(0.557355\pi\) |
−0.999984 | + | 0.00565322i | \(0.998201\pi\) | |||||||
\(212\) | 2.80872 | − | 7.71688i | 0.192903 | − | 0.529998i | ||||
\(213\) | 12.7545 | + | 2.24897i | 0.873927 | + | 0.154097i | ||||
\(214\) | 1.98886 | + | 11.2794i | 0.135955 | + | 0.771041i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.79813 | − | 4.84651i | 0.190389 | − | 0.329763i | ||||
\(217\) | 5.72513 | − | 3.30541i | 0.388647 | − | 0.224386i | ||||
\(218\) | 5.58878 | − | 6.66044i | 0.378520 | − | 0.451102i | ||||
\(219\) | −18.5043 | − | 15.5270i | −1.25041 | − | 1.04922i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.7665 | + | 32.5046i | −1.26237 | + | 2.18649i | ||||
\(222\) | 2.28969 | + | 6.29086i | 0.153674 | + | 0.422215i | ||||
\(223\) | −9.13538 | + | 1.61081i | −0.611751 | + | 0.107868i | −0.470935 | − | 0.882168i | \(-0.656083\pi\) |
−0.140815 | + | 0.990036i | \(0.544972\pi\) | |||||||
\(224\) | −0.467911 | + | 2.65366i | −0.0312636 | + | 0.177305i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.19072 | − | 1.83823i | 0.145725 | − | 0.122278i | ||||
\(227\) | 7.73648i | 0.513488i | 0.966479 | + | 0.256744i | \(0.0826498\pi\) | ||||
−0.966479 | + | 0.256744i | \(0.917350\pi\) | |||||||
\(228\) | 6.29212 | − | 2.23783i | 0.416706 | − | 0.148204i | ||||
\(229\) | 23.0351 | 1.52220 | 0.761101 | − | 0.648634i | \(-0.224659\pi\) | ||||
0.761101 | + | 0.648634i | \(0.224659\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.3550 | − | 4.49687i | −0.812902 | − | 0.295872i | ||||
\(232\) | −2.78006 | − | 0.490200i | −0.182520 | − | 0.0321832i | ||||
\(233\) | 8.27201 | − | 1.45858i | 0.541917 | − | 0.0955546i | 0.104012 | − | 0.994576i | \(-0.466832\pi\) |
0.437905 | + | 0.899021i | \(0.355721\pi\) | |||||||
\(234\) | 3.53209 | − | 1.28558i | 0.230900 | − | 0.0840407i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.286989 | − | 0.497079i | −0.0186814 | − | 0.0323571i | ||||
\(237\) | 8.92647 | − | 10.6382i | 0.579837 | − | 0.691022i | ||||
\(238\) | −11.2887 | + | 13.4534i | −0.731739 | + | 0.872052i | ||||
\(239\) | −7.86484 | − | 13.6223i | −0.508734 | − | 0.881153i | −0.999949 | − | 0.0101147i | \(-0.996780\pi\) |
0.491215 | − | 0.871038i | \(-0.336553\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.4474 | + | 5.98638i | −1.05947 | + | 0.385616i | −0.812230 | − | 0.583337i | \(-0.801747\pi\) |
−0.247242 | + | 0.968954i | \(0.579524\pi\) | |||||||
\(242\) | 0.844075 | − | 0.148833i | 0.0542592 | − | 0.00956736i | ||||
\(243\) | −6.55163 | − | 1.15523i | −0.420288 | − | 0.0741080i | ||||
\(244\) | 2.75877 | + | 1.00411i | 0.176612 | + | 0.0642816i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −0.532089 | −0.0339247 | ||||||||
\(247\) | 23.5242 | + | 8.75877i | 1.49681 | + | 0.557307i | ||||
\(248\) | − | 2.45336i | − | 0.155789i | ||||||
\(249\) | −9.94743 | + | 8.34689i | −0.630393 | + | 0.528963i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.48767 | − | 8.43702i | 0.0939011 | − | 0.532540i | −0.901177 | − | 0.433450i | \(-0.857296\pi\) |
0.995079 | − | 0.0990893i | \(-0.0315930\pi\) | |||||||
\(252\) | 1.73205 | − | 0.305407i | 0.109109 | − | 0.0192389i | ||||
\(253\) | −0.756594 | − | 2.07873i | −0.0475667 | − | 0.130688i | ||||
\(254\) | 4.86484 | − | 8.42615i | 0.305247 | − | 0.528703i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 5.15815 | − | 6.14724i | 0.321756 | − | 0.383454i | −0.580785 | − | 0.814057i | \(-0.697254\pi\) |
0.902542 | + | 0.430602i | \(0.141699\pi\) | |||||||
\(258\) | −8.04612 | + | 4.64543i | −0.500930 | + | 0.289212i | ||||
\(259\) | −5.88713 | + | 10.1968i | −0.365808 | + | 0.633598i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.319955 | + | 1.81456i | 0.0198047 | + | 0.112318i | ||||
\(262\) | −6.36965 | − | 1.12314i | −0.393518 | − | 0.0693879i | ||||
\(263\) | 2.03871 | − | 5.60132i | 0.125712 | − | 0.345392i | −0.860831 | − | 0.508891i | \(-0.830056\pi\) |
0.986544 | + | 0.163499i | \(0.0522779\pi\) | |||||||
\(264\) | −3.73783 | + | 3.13641i | −0.230047 | + | 0.193033i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 10.1284 | + | 5.94745i | 0.621009 | + | 0.364662i | ||||
\(267\) | 11.8571i | 0.725643i | ||||||||
\(268\) | 3.18701 | + | 3.79813i | 0.194678 | + | 0.232008i | ||||
\(269\) | −1.07873 | − | 0.392624i | −0.0657711 | − | 0.0239387i | 0.308925 | − | 0.951086i | \(-0.400031\pi\) |
−0.374696 | + | 0.927148i | \(0.622253\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.48246 | + | 19.7500i | 0.211544 | + | 1.19973i | 0.886803 | + | 0.462147i | \(0.152921\pi\) |
−0.675259 | + | 0.737581i | \(0.735968\pi\) | |||||||
\(272\) | 2.22913 | + | 6.12449i | 0.135161 | + | 0.371351i | ||||
\(273\) | −20.5891 | − | 11.8871i | −1.24611 | − | 0.719442i | ||||
\(274\) | −5.83022 | − | 10.0982i | −0.352217 | − | 0.610057i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.815207 | − | 0.684040i | −0.0490697 | − | 0.0411744i | ||||
\(277\) | 15.0343 | − | 8.68004i | 0.903322 | − | 0.521533i | 0.0250457 | − | 0.999686i | \(-0.492027\pi\) |
0.878277 | + | 0.478153i | \(0.158694\pi\) | |||||||
\(278\) | −7.15642 | − | 4.13176i | −0.429213 | − | 0.247806i | ||||
\(279\) | −1.50475 | + | 0.547683i | −0.0900869 | + | 0.0327889i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0.507274 | − | 2.87689i | 0.0302614 | − | 0.171621i | −0.965931 | − | 0.258798i | \(-0.916674\pi\) |
0.996193 | + | 0.0871772i | \(0.0277846\pi\) | |||||||
\(282\) | 4.13290 | − | 11.3550i | 0.246110 | − | 0.676183i | ||||
\(283\) | 6.09408 | + | 7.26264i | 0.362255 | + | 0.431719i | 0.916130 | − | 0.400881i | \(-0.131296\pi\) |
−0.553875 | + | 0.832600i | \(0.686851\pi\) | |||||||
\(284\) | 8.45336 | 0.501615 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3405 | −1.08450 | ||||||||
\(287\) | −0.601535 | − | 0.716881i | −0.0355075 | − | 0.0423162i | ||||
\(288\) | 0.223238 | − | 0.613341i | 0.0131544 | − | 0.0361415i | ||||
\(289\) | −4.42427 | + | 25.0913i | −0.260251 | + | 1.47596i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.500000 | − | 0.181985i | 0.0293105 | − | 0.0106682i | ||||
\(292\) | −13.6542 | − | 7.88326i | −0.799052 | − | 0.461333i | ||||
\(293\) | 23.6354 | − | 13.6459i | 1.38079 | − | 0.797202i | 0.388541 | − | 0.921432i | \(-0.372979\pi\) |
0.992253 | + | 0.124230i | \(0.0396460\pi\) | |||||||
\(294\) | −0.306123 | − | 0.256867i | −0.0178534 | − | 0.0149808i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.18479 | + | 3.78417i | 0.126988 | + | 0.219951i | ||||
\(297\) | 15.4351 | + | 8.91147i | 0.895637 | + | 0.517096i | ||||
\(298\) | −5.62738 | − | 15.4611i | −0.325985 | − | 0.895638i | ||||
\(299\) | −0.694593 | − | 3.93923i | −0.0401693 | − | 0.227812i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.3550 | − | 5.58878i | −0.885050 | − | 0.322132i | ||||
\(302\) | 2.99243 | + | 3.56624i | 0.172195 | + | 0.205214i | ||||
\(303\) | 0.566237i | 0.0325295i | ||||||||
\(304\) | 3.79086 | − | 2.15160i | 0.217421 | − | 0.123403i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 3.25877 | − | 2.73443i | 0.186292 | − | 0.156317i | ||||
\(307\) | 7.29482 | − | 20.0424i | 0.416337 | − | 1.14388i | −0.537424 | − | 0.843312i | \(-0.680602\pi\) |
0.953761 | − | 0.300565i | \(-0.0971753\pi\) | |||||||
\(308\) | −8.45134 | − | 1.49020i | −0.481560 | − | 0.0849120i | ||||
\(309\) | −2.28312 | − | 12.9482i | −0.129882 | − | 0.736598i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 14.6459 | − | 25.3674i | 0.830493 | − | 1.43846i | −0.0671555 | − | 0.997743i | \(-0.521392\pi\) |
0.897648 | − | 0.440713i | \(-0.145274\pi\) | |||||||
\(312\) | −7.64090 | + | 4.41147i | −0.432581 | + | 0.249751i | ||||
\(313\) | 3.57466 | − | 4.26011i | 0.202052 | − | 0.240796i | −0.655498 | − | 0.755197i | \(-0.727541\pi\) |
0.857550 | + | 0.514401i | \(0.171986\pi\) | |||||||
\(314\) | −6.47565 | − | 5.43372i | −0.365442 | − | 0.306642i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.53209 | − | 7.84981i | 0.254950 | − | 0.441586i | ||||
\(317\) | −1.30082 | − | 3.57398i | −0.0730614 | − | 0.200735i | 0.897786 | − | 0.440431i | \(-0.145174\pi\) |
−0.970848 | + | 0.239696i | \(0.922952\pi\) | |||||||
\(318\) | 12.3906 | − | 2.18479i | 0.694829 | − | 0.122517i | ||||
\(319\) | 1.56118 | − | 8.85392i | 0.0874096 | − | 0.495724i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −13.4422 | + | 11.2794i | −0.750271 | + | 0.629553i | ||||
\(322\) | − | 1.87164i | − | 0.104303i | ||||||
\(323\) | 28.4085 | + | 0.209141i | 1.58069 | + | 0.0116369i | ||||
\(324\) | 6.61587 | 0.367548 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −16.0214 | − | 5.83132i | −0.887344 | − | 0.322967i | ||||
\(327\) | 13.1185 | + | 2.31315i | 0.725456 | + | 0.127917i | ||||
\(328\) | −0.342020 | + | 0.0603074i | −0.0188849 | + | 0.00332992i | ||||
\(329\) | 19.9709 | − | 7.26881i | 1.10103 | − | 0.400743i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.2110 | − | 17.6859i | −0.561245 | − | 0.972104i | −0.997388 | − | 0.0722272i | \(-0.976989\pi\) |
0.436144 | − | 0.899877i | \(-0.356344\pi\) | |||||||
\(332\) | −5.44804 | + | 6.49273i | −0.299000 | + | 0.356335i | ||||
\(333\) | 1.83326 | − | 2.18479i | 0.100462 | − | 0.119726i | ||||
\(334\) | −1.59627 | − | 2.76481i | −0.0873438 | − | 0.151284i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −3.87939 | + | 1.41198i | −0.211638 | + | 0.0770299i | ||||
\(337\) | −20.0019 | + | 3.52687i | −1.08957 | + | 0.192121i | −0.689445 | − | 0.724338i | \(-0.742145\pi\) |
−0.400128 | + | 0.916459i | \(0.631034\pi\) | |||||||
\(338\) | −19.8571 | − | 3.50134i | −1.08008 | − | 0.190448i | ||||
\(339\) | 4.11721 | + | 1.49854i | 0.223616 | + | 0.0813896i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 7.81345 | 0.423122 | ||||||||
\(342\) | −2.16593 | − | 1.84477i | −0.117120 | − | 0.0997537i | ||||
\(343\) | 18.1593i | 0.980511i | ||||||||
\(344\) | −4.64543 | + | 3.89798i | −0.250465 | + | 0.210165i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 1.67230 | − | 9.48411i | 0.0899036 | − | 0.509869i | ||||
\(347\) | −5.13560 | + | 0.905544i | −0.275693 | + | 0.0486122i | −0.309785 | − | 0.950807i | \(-0.600257\pi\) |
0.0340920 | + | 0.999419i | \(0.489146\pi\) | |||||||
\(348\) | −1.47924 | − | 4.06418i | −0.0792956 | − | 0.217863i | ||||
\(349\) | 7.17024 | − | 12.4192i | 0.383814 | − | 0.664786i | −0.607790 | − | 0.794098i | \(-0.707944\pi\) |
0.991604 | + | 0.129312i | \(0.0412769\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 24.6878 | + | 20.7155i | 1.31774 | + | 1.10571i | ||||
\(352\) | −2.04715 | + | 2.43969i | −0.109113 | + | 0.130036i | ||||
\(353\) | −22.7331 | + | 13.1250i | −1.20996 | + | 0.698571i | −0.962750 | − | 0.270391i | \(-0.912847\pi\) |
−0.247209 | + | 0.968962i | \(0.579514\pi\) | |||||||
\(354\) | 0.439693 | − | 0.761570i | 0.0233694 | − | 0.0404770i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 1.34389 | + | 7.62159i | 0.0712262 | + | 0.403944i | ||||
\(357\) | −26.4980 | − | 4.67230i | −1.40242 | − | 0.247285i | ||||
\(358\) | −6.43550 | + | 17.6814i | −0.340127 | + | 0.934490i | ||||
\(359\) | 25.8084 | − | 21.6558i | 1.36212 | − | 1.14295i | 0.386792 | − | 0.922167i | \(-0.373583\pi\) |
0.975323 | − | 0.220784i | \(-0.0708615\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.02347 | − | 18.7579i | −0.159130 | − | 0.987258i | ||||
\(362\) | 2.77837i | 0.146028i | ||||||||
\(363\) | 0.844075 | + | 1.00593i | 0.0443025 | + | 0.0527976i | ||||
\(364\) | −14.5817 | − | 5.30731i | −0.764290 | − | 0.278179i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.781059 | + | 4.42961i | 0.0408266 | + | 0.231539i | ||||
\(367\) | 3.58056 | + | 9.83750i | 0.186903 | + | 0.513513i | 0.997387 | − | 0.0722488i | \(-0.0230176\pi\) |
−0.810483 | + | 0.585762i | \(0.800795\pi\) | |||||||
\(368\) | −0.601535 | − | 0.347296i | −0.0313572 | − | 0.0181041i | ||||
\(369\) | 0.113341 | + | 0.196312i | 0.00590029 | + | 0.0102196i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 16.9513 | + | 14.2238i | 0.880068 | + | 0.738465i | ||||
\(372\) | 3.25519 | − | 1.87939i | 0.168774 | − | 0.0974416i | ||||
\(373\) | 20.7003 | + | 11.9513i | 1.07182 | + | 0.618815i | 0.928678 | − | 0.370887i | \(-0.120946\pi\) |
0.143141 | + | 0.989702i | \(0.454280\pi\) | |||||||
\(374\) | −19.5052 | + | 7.09932i | −1.00859 | + | 0.367097i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.36959 | − | 7.76730i | 0.0706310 | − | 0.400568i | ||||
\(377\) | 5.56012 | − | 15.2763i | 0.286361 | − | 0.786770i | ||||
\(378\) | 9.69302 | + | 11.5517i | 0.498555 | + | 0.594155i | ||||
\(379\) | −17.8135 | −0.915016 | −0.457508 | − | 0.889206i | \(-0.651258\pi\) | ||||
−0.457508 | + | 0.889206i | \(0.651258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.9067 | 0.763695 | ||||||||
\(382\) | 6.14641 | + | 7.32501i | 0.314478 | + | 0.374780i | ||||
\(383\) | −8.57775 | + | 23.5672i | −0.438302 | + | 1.20423i | 0.502293 | + | 0.864697i | \(0.332490\pi\) |
−0.940596 | + | 0.339529i | \(0.889732\pi\) | |||||||
\(384\) | −0.266044 | + | 1.50881i | −0.0135765 | + | 0.0769963i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 22.2528 | − | 8.09937i | 1.13264 | − | 0.412247i | ||||
\(387\) | 3.42782 | + | 1.97906i | 0.174246 | + | 0.100601i | ||||
\(388\) | 0.300767 | − | 0.173648i | 0.0152692 | − | 0.00881565i | ||||
\(389\) | 7.21482 | + | 6.05395i | 0.365806 | + | 0.306948i | 0.807100 | − | 0.590415i | \(-0.201036\pi\) |
−0.441294 | + | 0.897363i | \(0.645480\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.26352 | − | 3.92053i | −0.114471 | − | 0.198270i | ||||
\(392\) | −0.225885 | − | 0.130415i | −0.0114089 | − | 0.00658695i | ||||
\(393\) | −3.38922 | − | 9.31180i | −0.170964 | − | 0.469718i | ||||
\(394\) | 3.98040 | + | 22.5740i | 0.200530 | + | 1.13726i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.95336 | + | 0.710966i | 0.0981602 | + | 0.0357274i | ||||
\(397\) | 4.40441 | + | 5.24897i | 0.221051 | + | 0.263438i | 0.865161 | − | 0.501495i | \(-0.167216\pi\) |
−0.644110 | + | 0.764933i | \(0.722772\pi\) | |||||||
\(398\) | − | 10.0838i | − | 0.505454i | ||||||
\(399\) | −0.132474 | + | 17.9946i | −0.00663201 | + | 0.900857i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.63634 | − | 3.05126i | 0.181590 | − | 0.152372i | −0.547461 | − | 0.836831i | \(-0.684406\pi\) |
0.729052 | + | 0.684458i | \(0.239961\pi\) | |||||||
\(402\) | −2.59808 | + | 7.13816i | −0.129580 | + | 0.356019i | ||||
\(403\) | 13.9137 | + | 2.45336i | 0.693091 | + | 0.122211i | ||||
\(404\) | 0.0641778 | + | 0.363970i | 0.00319296 | + | 0.0181082i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.80335 | − | 6.58759i | 0.188757 | − | 0.326937i | ||||
\(407\) | −12.0518 | + | 6.95811i | −0.597386 | + | 0.344901i | ||||
\(408\) | −6.41852 | + | 7.64930i | −0.317764 | + | 0.378697i | ||||
\(409\) | −24.2781 | − | 20.3718i | −1.20048 | − | 1.00732i | −0.999616 | − | 0.0276988i | \(-0.991182\pi\) |
−0.200860 | − | 0.979620i | \(-0.564373\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.93242 | − | 15.4714i | 0.440604 | − | 0.763148i | ||||
\(412\) | −2.93512 | − | 8.06418i | −0.144603 | − | 0.397294i | ||||
\(413\) | 1.52314 | − | 0.268571i | 0.0749488 | − | 0.0132155i | ||||
\(414\) | −0.0787257 | + | 0.446476i | −0.00386916 | + | 0.0219431i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −4.41147 | + | 3.70167i | −0.216290 | + | 0.181489i | ||||
\(417\) | − | 12.6604i | − | 0.619985i | ||||||
\(418\) | 6.85240 | + | 12.0731i | 0.335162 | + | 0.590515i | ||||
\(419\) | 11.0101 | 0.537879 | 0.268939 | − | 0.963157i | \(-0.413327\pi\) | ||||
0.268939 | + | 0.963157i | \(0.413327\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.14290 | + | 2.96377i | 0.396861 | + | 0.144446i | 0.532738 | − | 0.846280i | \(-0.321163\pi\) |
−0.135877 | + | 0.990726i | \(0.543385\pi\) | |||||||
\(422\) | −22.0204 | − | 3.88279i | −1.07194 | − | 0.189011i | ||||
\(423\) | −5.06975 | + | 0.893933i | −0.246500 | + | 0.0434645i | ||||
\(424\) | 7.71688 | − | 2.80872i | 0.374765 | − | 0.136403i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 6.47565 | + | 11.2162i | 0.313746 | + | 0.543425i | ||||
\(427\) | −5.08499 | + | 6.06006i | −0.246080 | + | 0.293267i | ||||
\(428\) | −7.36208 | + | 8.77379i | −0.355860 | + | 0.424097i | ||||
\(429\) | −14.0496 | − | 24.3347i | −0.678323 | − | 1.17489i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 28.0847 | − | 10.2220i | 1.35279 | − | 0.492376i | 0.438975 | − | 0.898499i | \(-0.355342\pi\) |
0.913818 | + | 0.406123i | \(0.133120\pi\) | |||||||
\(432\) | 5.51125 | − | 0.971782i | 0.265160 | − | 0.0467549i | ||||
\(433\) | −9.12014 | − | 1.60813i | −0.438286 | − | 0.0772816i | −0.0498486 | − | 0.998757i | \(-0.515874\pi\) |
−0.388437 | + | 0.921475i | \(0.626985\pi\) | |||||||
\(434\) | 6.21213 | + | 2.26103i | 0.298192 | + | 0.108533i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.69459 | 0.416395 | ||||||||
\(437\) | −2.33359 | + | 1.92902i | −0.111631 | + | 0.0922773i | ||||
\(438\) | − | 24.1557i | − | 1.15420i | ||||||
\(439\) | −15.9813 | + | 13.4099i | −0.762747 | + | 0.640021i | −0.938840 | − | 0.344352i | \(-0.888098\pi\) |
0.176093 | + | 0.984374i | \(0.443654\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.0295627 | + | 0.167658i | −0.00140775 | + | 0.00798372i | ||||
\(442\) | −36.9628 | + | 6.51754i | −1.75814 | + | 0.310008i | ||||
\(443\) | 8.14966 | + | 22.3910i | 0.387202 | + | 1.06383i | 0.968255 | + | 0.249963i | \(0.0804185\pi\) |
−0.581054 | + | 0.813865i | \(0.697359\pi\) | |||||||
\(444\) | −3.34730 | + | 5.79769i | −0.158856 | + | 0.275146i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −7.10607 | − | 5.96270i | −0.336482 | − | 0.282342i | ||||
\(447\) | 16.2034 | − | 19.3105i | 0.766395 | − | 0.913353i | ||||
\(448\) | −2.33359 | + | 1.34730i | −0.110252 | + | 0.0636538i | ||||
\(449\) | −1.09105 | + | 1.88976i | −0.0514899 | + | 0.0891832i | −0.890622 | − | 0.454745i | \(-0.849730\pi\) |
0.839132 | + | 0.543928i | \(0.183064\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.192066 | − | 1.08926i | −0.00904406 | − | 0.0512914i | ||||
\(452\) | 2.81634 | + | 0.496596i | 0.132469 | + | 0.0233579i | ||||
\(453\) | −2.43945 | + | 6.70233i | −0.114615 | + | 0.314903i | ||||
\(454\) | −5.92649 | + | 4.97291i | −0.278144 | + | 0.233390i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 5.75877 | + | 3.38160i | 0.269679 | + | 0.158358i | ||||
\(457\) | 1.78106i | 0.0833144i | 0.999132 | + | 0.0416572i | \(0.0132637\pi\) | ||||
−0.999132 | + | 0.0416572i | \(0.986736\pi\) | |||||||
\(458\) | 14.8067 | + | 17.6459i | 0.691870 | + | 0.824539i | ||||
\(459\) | 34.2743 | + | 12.4748i | 1.59979 | + | 0.582274i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.68954 | − | 15.2531i | −0.125264 | − | 0.710410i | −0.981150 | − | 0.193245i | \(-0.938099\pi\) |
0.855886 | − | 0.517164i | \(-0.173012\pi\) | |||||||
\(462\) | −4.49687 | − | 12.3550i | −0.209213 | − | 0.574808i | ||||
\(463\) | −2.34699 | − | 1.35504i | −0.109074 | − | 0.0629739i | 0.444471 | − | 0.895793i | \(-0.353392\pi\) |
−0.553545 | + | 0.832820i | \(0.686725\pi\) | |||||||
\(464\) | −1.41147 | − | 2.44474i | −0.0655260 | − | 0.113494i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.43448 | + | 5.39917i | 0.298071 | + | 0.250112i | ||||
\(467\) | 11.1834 | − | 6.45677i | 0.517508 | − | 0.298784i | −0.218406 | − | 0.975858i | \(-0.570086\pi\) |
0.735915 | + | 0.677074i | \(0.236752\pi\) | |||||||
\(468\) | 3.25519 | + | 1.87939i | 0.150471 | + | 0.0868746i | ||||
\(469\) | −12.5544 | + | 4.56942i | −0.579707 | + | 0.210996i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.24897 | − | 12.7545i | 0.103627 | − | 0.587698i | ||||
\(472\) | 0.196312 | − | 0.539363i | 0.00903599 | − | 0.0248262i | ||||
\(473\) | −12.4143 | − | 14.7947i | −0.570808 | − | 0.680262i | ||||
\(474\) | 13.8871 | 0.637857 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.5621 | −0.804958 | ||||||||
\(477\) | −3.44540 | − | 4.10607i | −0.157754 | − | 0.188004i | ||||
\(478\) | 5.37987 | − | 14.7811i | 0.246069 | − | 0.676070i | ||||
\(479\) | 3.22163 | − | 18.2708i | 0.147200 | − | 0.834813i | −0.818374 | − | 0.574685i | \(-0.805124\pi\) |
0.965574 | − | 0.260127i | \(-0.0837645\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.6459 | + | 8.60640i | −1.07816 | + | 0.392418i | ||||
\(482\) | −15.1580 | − | 8.75150i | −0.690430 | − | 0.398620i | ||||
\(483\) | 2.48335 | − | 1.43376i | 0.112996 | − | 0.0652385i | ||||
\(484\) | 0.656574 | + | 0.550931i | 0.0298443 | + | 0.0250423i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −3.32635 | − | 5.76141i | −0.150886 | − | 0.261343i | ||||
\(487\) | −35.6573 | − | 20.5868i | −1.61579 | − | 0.932876i | −0.987993 | − | 0.154497i | \(-0.950624\pi\) |
−0.627795 | − | 0.778379i | \(-0.716042\pi\) | |||||||
\(488\) | 1.00411 | + | 2.75877i | 0.0454539 | + | 0.124884i | ||||
\(489\) | −4.53596 | − | 25.7247i | −0.205123 | − | 1.16331i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 21.2160 | + | 7.72199i | 0.957465 | + | 0.348489i | 0.773040 | − | 0.634358i | \(-0.218735\pi\) |
0.184425 | + | 0.982847i | \(0.440958\pi\) | |||||||
\(492\) | −0.342020 | − | 0.407604i | −0.0154195 | − | 0.0183762i | ||||
\(493\) | − | 18.3987i | − | 0.828635i | ||||||
\(494\) | 8.41147 | + | 23.6506i | 0.378450 | + | 1.06409i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.87939 | − | 1.57699i | 0.0843869 | − | 0.0708090i | ||||
\(497\) | −7.79066 | + | 21.4047i | −0.349459 | + | 0.960131i | ||||
\(498\) | −12.7882 | − | 2.25490i | −0.573052 | − | 0.101044i | ||||
\(499\) | 5.09286 | + | 28.8831i | 0.227988 | + | 1.29298i | 0.856890 | + | 0.515499i | \(0.172393\pi\) |
−0.628902 | + | 0.777484i | \(0.716495\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.44562 | − | 4.23594i | 0.109262 | − | 0.189248i | ||||
\(502\) | 7.41939 | − | 4.28359i | 0.331143 | − | 0.191186i | ||||
\(503\) | 21.6085 | − | 25.7520i | 0.963474 | − | 1.14822i | −0.0254316 | − | 0.999677i | \(-0.508096\pi\) |
0.988905 | − | 0.148547i | \(-0.0474595\pi\) | |||||||
\(504\) | 1.34730 | + | 1.13052i | 0.0600133 | + | 0.0503572i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 1.10607 | − | 1.91576i | 0.0491707 | − | 0.0851661i | ||||
\(507\) | −10.5657 | − | 29.0292i | −0.469241 | − | 1.28923i | ||||
\(508\) | 9.58186 | − | 1.68954i | 0.425126 | − | 0.0749612i | ||||
\(509\) | −0.699645 | + | 3.96788i | −0.0310112 | + | 0.175873i | −0.996379 | − | 0.0850178i | \(-0.972905\pi\) |
0.965368 | + | 0.260891i | \(0.0840164\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 32.5449 | − | 27.3084i | 1.43970 | − | 1.20805i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 4.41263 | − | 23.9911i | 0.194822 | − | 1.05923i | ||||
\(514\) | 8.02465 | 0.353952 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −8.73055 | − | 3.17766i | −0.384341 | − | 0.139889i | ||||
\(517\) | 24.7372 | + | 4.36184i | 1.08794 | + | 0.191834i | ||||
\(518\) | −11.5954 | + | 2.04458i | −0.509472 | + | 0.0898336i | ||||
\(519\) | 13.8648 | − | 5.04639i | 0.608599 | − | 0.221512i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.49479 | − | 4.32110i | −0.109299 | − | 0.189311i | 0.806188 | − | 0.591660i | \(-0.201527\pi\) |
−0.915486 | + | 0.402349i | \(0.868194\pi\) | |||||||
\(522\) | −1.18437 | + | 1.41147i | −0.0518384 | + | 0.0617785i | ||||
\(523\) | −17.0677 | + | 20.3405i | −0.746318 | + | 0.889427i | −0.996901 | − | 0.0786677i | \(-0.974933\pi\) |
0.250583 | + | 0.968095i | \(0.419378\pi\) | |||||||
\(524\) | −3.23396 | − | 5.60138i | −0.141276 | − | 0.244697i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.60132 | − | 2.03871i | 0.244229 | − | 0.0888921i | ||||
\(527\) | 15.7470 | − | 2.77662i | 0.685949 | − | 0.120951i | ||||
\(528\) | −4.80526 | − | 0.847296i | −0.209122 | − | 0.0368738i | ||||
\(529\) | −21.1596 | − | 7.70145i | −0.919981 | − | 0.334846i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.374638 | −0.0162579 | ||||||||
\(532\) | 1.95437 | + | 11.5817i | 0.0847326 | + | 0.502131i | ||||
\(533\) | − | 2.00000i | − | 0.0866296i | ||||||
\(534\) | −9.08306 | + | 7.62159i | −0.393063 | + | 0.329819i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.860967 | + | 4.88279i | −0.0371881 | + | 0.210904i | ||||
\(537\) | −28.3900 | + | 5.00593i | −1.22512 | + | 0.216022i | ||||
\(538\) | −0.392624 | − | 1.07873i | −0.0169272 | − | 0.0465072i | ||||
\(539\) | 0.415345 | − | 0.719398i | 0.0178902 | − | 0.0309867i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −9.17024 | − | 7.69475i | −0.394260 | − | 0.330823i | 0.424010 | − | 0.905657i | \(-0.360622\pi\) |
−0.818270 | + | 0.574834i | \(0.805067\pi\) | |||||||
\(542\) | −12.8909 | + | 15.3628i | −0.553712 | + | 0.659888i | ||||
\(543\) | −3.68642 | + | 2.12836i | −0.158199 | + | 0.0913365i | ||||
\(544\) | −3.25877 | + | 5.64436i | −0.139719 | + | 0.242000i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.12836 | − | 23.4131i | −0.176677 | − | 1.00199i | ||||
\(547\) | 3.14809 | + | 0.555093i | 0.134603 | + | 0.0237341i | 0.240543 | − | 0.970638i | \(-0.422674\pi\) |
−0.105941 | + | 0.994372i | \(0.533785\pi\) | |||||||
\(548\) | 3.98811 | − | 10.9572i | 0.170363 | − | 0.468070i | ||||
\(549\) | 1.46791 | − | 1.23172i | 0.0626489 | − | 0.0525687i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.1334 | + | 2.04746i | −0.516901 | + | 0.0872249i | ||||
\(552\) | − | 1.06418i | − | 0.0452944i | ||||||
\(553\) | 15.6996 | + | 18.7101i | 0.667616 | + | 0.795633i | ||||
\(554\) | 16.3131 | + | 5.93750i | 0.693079 | + | 0.252260i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.43494 | − | 8.13798i | −0.0608552 | − | 0.345127i | ||||
\(557\) | 8.20037 | + | 22.5303i | 0.347461 | + | 0.954641i | 0.983167 | + | 0.182710i | \(0.0584868\pi\) |
−0.635706 | + | 0.771931i | \(0.719291\pi\) | |||||||
\(558\) | −1.38678 | − | 0.800660i | −0.0587072 | − | 0.0338946i | ||||
\(559\) | −17.4611 | − | 30.2435i | −0.738526 | − | 1.27916i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −24.3614 | − | 20.4417i | −1.02854 | − | 0.863048i | ||||
\(562\) | 2.52990 | − | 1.46064i | 0.106717 | − | 0.0616133i | ||||
\(563\) | −7.58380 | − | 4.37851i | −0.319619 | − | 0.184532i | 0.331604 | − | 0.943419i | \(-0.392410\pi\) |
−0.651223 | + | 0.758887i | \(0.725744\pi\) | |||||||
\(564\) | 11.3550 | − | 4.13290i | 0.478133 | − | 0.174026i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −1.64631 | + | 9.33667i | −0.0691994 | + | 0.392450i | ||||
\(567\) | −6.09722 | + | 16.7520i | −0.256059 | + | 0.703516i | ||||
\(568\) | 5.43372 | + | 6.47565i | 0.227994 | + | 0.271712i | ||||
\(569\) | 36.4201 | 1.52681 | 0.763406 | − | 0.645919i | \(-0.223526\pi\) | ||||
0.763406 | + | 0.645919i | \(0.223526\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.2131 | 1.43177 | 0.715886 | − | 0.698217i | \(-0.246023\pi\) | ||||
0.715886 | + | 0.698217i | \(0.246023\pi\) | |||||||
\(572\) | −11.7890 | − | 14.0496i | −0.492924 | − | 0.587445i | ||||
\(573\) | −5.01060 | + | 13.7665i | −0.209321 | + | 0.575104i | ||||
\(574\) | 0.162504 | − | 0.921605i | 0.00678278 | − | 0.0384670i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.613341 | − | 0.223238i | 0.0255559 | − | 0.00930157i | ||||
\(577\) | −13.4319 | − | 7.75490i | −0.559177 | − | 0.322841i | 0.193638 | − | 0.981073i | \(-0.437971\pi\) |
−0.752815 | + | 0.658232i | \(0.771304\pi\) | |||||||
\(578\) | −22.0649 | + | 12.7392i | −0.917778 | + | 0.529880i | ||||
\(579\) | 27.7931 | + | 23.3212i | 1.15504 | + | 0.969196i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.4192 | − | 19.7787i | −0.473749 | − | 0.820557i | ||||
\(582\) | 0.460802 | + | 0.266044i | 0.0191009 | + | 0.0110279i | ||||
\(583\) | 8.94517 | + | 24.5767i | 0.370471 | + | 1.01786i | ||||
\(584\) | −2.73783 | − | 15.5270i | −0.113292 | − | 0.642511i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 25.6459 | + | 9.33434i | 1.05942 | + | 0.385598i | ||||
\(587\) | −7.44459 | − | 8.87211i | −0.307271 | − | 0.366191i | 0.590206 | − | 0.807253i | \(-0.299047\pi\) |
−0.897477 | + | 0.441061i | \(0.854602\pi\) | |||||||
\(588\) | − | 0.399615i | − | 0.0164798i | ||||||
\(589\) | −3.58347 | − | 10.0757i | −0.147654 | − | 0.415162i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −26.9026 | + | 22.5740i | −1.10663 | + | 0.928569i | ||||
\(592\) | −1.49449 | + | 4.10607i | −0.0614230 | + | 0.168758i | ||||
\(593\) | 45.6880 | + | 8.05603i | 1.87618 | + | 0.330821i | 0.990939 | − | 0.134310i | \(-0.0428817\pi\) |
0.885242 | + | 0.465131i | \(0.153993\pi\) | |||||||
\(594\) | 3.09492 | + | 17.5522i | 0.126986 | + | 0.720175i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 8.22668 | − | 14.2490i | 0.336978 | − | 0.583663i | ||||
\(597\) | 13.3794 | − | 7.72462i | 0.547584 | − | 0.316148i | ||||
\(598\) | 2.57115 | − | 3.06418i | 0.105142 | − | 0.125304i | ||||
\(599\) | −19.6355 | − | 16.4761i | −0.802283 | − | 0.673196i | 0.146469 | − | 0.989215i | \(-0.453209\pi\) |
−0.948753 | + | 0.316019i | \(0.897654\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.99613 | + | 6.92150i | −0.163006 | + | 0.282334i | −0.935945 | − | 0.352146i | \(-0.885452\pi\) |
0.772940 | + | 0.634480i | \(0.218786\pi\) | |||||||
\(602\) | −5.58878 | − | 15.3550i | −0.227782 | − | 0.625825i | ||||
\(603\) | 3.18701 | − | 0.561956i | 0.129785 | − | 0.0228846i | ||||
\(604\) | −0.808400 | + | 4.58467i | −0.0328933 | + | 0.186547i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.433763 | + | 0.363970i | −0.0176204 | + | 0.0147853i | ||||
\(607\) | − | 26.9905i | − | 1.09551i | −0.836639 | − | 0.547755i | \(-0.815482\pi\) | ||
0.836639 | − | 0.547755i | \(-0.184518\pi\) | |||||||
\(608\) | 4.08494 | + | 1.52094i | 0.165666 | + | 0.0616824i | ||||
\(609\) | 11.6541 | 0.472249 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 42.6810 | + | 15.5346i | 1.72669 | + | 0.628463i | ||||
\(612\) | 4.18939 | + | 0.738703i | 0.169346 | + | 0.0298603i | ||||
\(613\) | −14.0348 | + | 2.47472i | −0.566861 | + | 0.0999529i | −0.449732 | − | 0.893164i | \(-0.648480\pi\) |
−0.117130 | + | 0.993117i | \(0.537369\pi\) | |||||||
\(614\) | 20.0424 | − | 7.29482i | 0.808844 | − | 0.294395i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.29086 | − | 7.43199i | −0.172884 | − | 0.299443i | ||||
\(617\) | 19.6438 | − | 23.4106i | 0.790831 | − | 0.942475i | −0.208538 | − | 0.978014i | \(-0.566870\pi\) |
0.999368 | + | 0.0355392i | \(0.0113149\pi\) | |||||||
\(618\) | 8.45134 | − | 10.0719i | 0.339963 | − | 0.405152i | ||||
\(619\) | −14.3375 | − | 24.8333i | −0.576273 | − | 0.998133i | −0.995902 | − | 0.0904380i | \(-0.971173\pi\) |
0.419629 | − | 0.907695i | \(-0.362160\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.65270 | + | 1.32948i | −0.146578 | + | 0.0533500i | ||||
\(622\) | 28.8468 | − | 5.08647i | 1.15665 | − | 0.203949i | ||||
\(623\) | −20.5371 | − | 3.62124i | −0.822801 | − | 0.145082i | ||||
\(624\) | −8.29086 | − | 3.01763i | −0.331900 | − | 0.120802i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 5.56118 | 0.222270 | ||||||||
\(627\) | −10.7697 | + | 18.3405i | −0.430100 | + | 0.732449i | ||||
\(628\) | − | 8.45336i | − | 0.337326i | ||||||
\(629\) | −21.8161 | + | 18.3059i | −0.869867 | + | 0.729905i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.781059 | + | 4.42961i | −0.0310935 | + | 0.176340i | −0.996400 | − | 0.0847809i | \(-0.972981\pi\) |
0.965306 | + | 0.261121i | \(0.0840921\pi\) | |||||||
\(632\) | 8.92647 | − | 1.57398i | 0.355076 | − | 0.0626095i | ||||
\(633\) | −11.7168 | − | 32.1917i | −0.465701 | − | 1.27950i | ||||
\(634\) | 1.90167 | − | 3.29380i | 0.0755251 | − | 0.130813i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 9.63816 | + | 8.08737i | 0.382178 | + | 0.320685i | ||||
\(637\) | 0.965505 | − | 1.15064i | 0.0382547 | − | 0.0455902i | ||||
\(638\) | 7.78601 | − | 4.49525i | 0.308251 | − | 0.177969i | ||||
\(639\) | 2.75877 | − | 4.77833i | 0.109135 | − | 0.189028i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.01573 | − | 11.4318i | −0.0796165 | − | 0.451528i | −0.998389 | − | 0.0567403i | \(-0.981929\pi\) |
0.918772 | − | 0.394788i | \(-0.129182\pi\) | |||||||
\(642\) | −17.2810 | − | 3.04710i | −0.682026 | − | 0.120260i | ||||
\(643\) | −8.90809 | + | 24.4748i | −0.351301 | + | 0.965191i | 0.630652 | + | 0.776066i | \(0.282787\pi\) |
−0.981953 | + | 0.189125i | \(0.939435\pi\) | |||||||
\(644\) | 1.43376 | − | 1.20307i | 0.0564982 | − | 0.0474076i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 18.1004 | + | 21.8966i | 0.712152 | + | 0.861511i | ||||
\(647\) | − | 2.31490i | − | 0.0910082i | −0.998964 | − | 0.0455041i | \(-0.985511\pi\) | ||
0.998964 | − | 0.0455041i | \(-0.0144894\pi\) | |||||||
\(648\) | 4.25260 | + | 5.06805i | 0.167058 | + | 0.199092i | ||||
\(649\) | 1.71776 | + | 0.625213i | 0.0674279 | + | 0.0245418i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.75877 | + | 9.97448i | 0.0689316 | + | 0.390931i | ||||
\(652\) | −5.83132 | − | 16.0214i | −0.228372 | − | 0.627447i | ||||
\(653\) | 2.86257 | + | 1.65270i | 0.112021 | + | 0.0646753i | 0.554964 | − | 0.831875i | \(-0.312732\pi\) |
−0.442943 | + | 0.896550i | \(0.646066\pi\) | |||||||
\(654\) | 6.66044 | + | 11.5362i | 0.260444 | + | 0.451102i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.266044 | − | 0.223238i | −0.0103873 | − | 0.00871597i | ||||
\(657\) | −8.91215 | + | 5.14543i | −0.347696 | + | 0.200742i | ||||
\(658\) | 18.4053 | + | 10.6263i | 0.717513 | + | 0.414256i | ||||
\(659\) | −12.9201 | + | 4.70253i | −0.503295 | + | 0.183185i | −0.581176 | − | 0.813778i | \(-0.697407\pi\) |
0.0778802 | + | 0.996963i | \(0.475185\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.579030 | + | 3.28384i | −0.0225217 | + | 0.127727i | −0.993996 | − | 0.109419i | \(-0.965101\pi\) |
0.971474 | + | 0.237146i | \(0.0762120\pi\) | |||||||
\(662\) | 6.98470 | − | 19.1903i | 0.271468 | − | 0.745853i | ||||
\(663\) | −36.9628 | − | 44.0506i | −1.43552 | − | 1.71078i | ||||
\(664\) | −8.47565 | −0.328919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85204 | 0.110514 | ||||||||
\(667\) | 1.26038 | + | 1.50206i | 0.0488020 | + | 0.0581600i | ||||
\(668\) | 1.09191 | − | 3.00000i | 0.0422473 | − | 0.116073i | ||||
\(669\) | 2.46791 | − | 13.9962i | 0.0954150 | − | 0.541125i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.78611 | + | 3.19788i | −0.339184 | + | 0.123453i | ||||
\(672\) | −3.57526 | − | 2.06418i | −0.137919 | − | 0.0796274i | ||||
\(673\) | −33.7585 | + | 19.4905i | −1.30130 | + | 0.751304i | −0.980626 | − | 0.195887i | \(-0.937241\pi\) |
−0.320670 | + | 0.947191i | \(0.603908\pi\) | |||||||
\(674\) | −15.5587 | − | 13.0553i | −0.599299 | − | 0.502872i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.0817 | − | 17.4620i | −0.387758 | − | 0.671617i | ||||
\(677\) | 37.7481 | + | 21.7939i | 1.45078 | + | 0.837606i | 0.998525 | − | 0.0542853i | \(-0.0172880\pi\) |
0.452250 | + | 0.891891i | \(0.350621\pi\) | |||||||
\(678\) | 1.49854 | + | 4.11721i | 0.0575512 | + | 0.158121i | ||||
\(679\) | 0.162504 | + | 0.921605i | 0.00623632 | + | 0.0353680i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −11.1382 | − | 4.05396i | −0.426815 | − | 0.155348i | ||||
\(682\) | 5.02239 | + | 5.98545i | 0.192317 | + | 0.229195i | ||||
\(683\) | − | 32.9317i | − | 1.26010i | −0.776556 | − | 0.630048i | \(-0.783035\pi\) | ||
0.776556 | − | 0.630048i | \(-0.216965\pi\) | |||||||
\(684\) | 0.0209445 | − | 2.84499i | 0.000800834 | − | 0.108781i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −13.9108 | + | 11.6726i | −0.531119 | + | 0.445661i | ||||
\(687\) | −12.0705 | + | 33.1634i | −0.460518 | + | 1.26526i | ||||
\(688\) | −5.97205 | − | 1.05303i | −0.227682 | − | 0.0401465i | ||||
\(689\) | 8.21213 | + | 46.5733i | 0.312857 | + | 1.77430i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17.1604 | + | 29.7228i | −0.652814 | + | 1.13071i | 0.329623 | + | 0.944113i | \(0.393078\pi\) |
−0.982437 | + | 0.186594i | \(0.940255\pi\) | |||||||
\(692\) | 8.34018 | − | 4.81521i | 0.317046 | − | 0.183047i | ||||
\(693\) | −3.60046 | + | 4.29086i | −0.136770 | + | 0.162996i | ||||
\(694\) | −3.99479 | − | 3.35202i | −0.151640 | − | 0.127241i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.16250 | − | 3.74557i | 0.0819695 | − | 0.141975i | ||||
\(697\) | −0.774169 | − | 2.12701i | −0.0293237 | − | 0.0805663i | ||||
\(698\) | 14.1226 | − | 2.49020i | 0.534549 | − | 0.0942555i | ||||
\(699\) | −2.23467 | + | 12.6734i | −0.0845230 | + | 0.479354i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.94356 | − | 4.14814i | 0.186716 | − | 0.156673i | −0.544638 | − | 0.838671i | \(-0.683333\pi\) |
0.731354 | + | 0.681998i | \(0.238889\pi\) | |||||||
\(702\) | 32.2276i | 1.21635i | ||||||||
\(703\) | 14.5000 | + | 12.3500i | 0.546878 | + | 0.465788i | ||||
\(704\) | −3.18479 | −0.120031 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24.6668 | − | 8.97800i | −0.928349 | − | 0.337891i | ||||
\(707\) | −0.980752 | − | 0.172933i | −0.0368850 | − | 0.00650381i | ||||
\(708\) | 0.866025 | − | 0.152704i | 0.0325472 | − | 0.00573895i | ||||
\(709\) | −3.17530 | + | 1.15571i | −0.119251 | + | 0.0434037i | −0.400956 | − | 0.916097i | \(-0.631322\pi\) |
0.281706 | + | 0.959501i | \(0.409100\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.95811 | − | 5.12360i | −0.110938 | − | 0.192150i | ||||
\(712\) | −4.97464 | + | 5.92855i | −0.186433 | + | 0.222182i | ||||
\(713\) | −1.09537 | + | 1.30541i | −0.0410218 | + | 0.0488879i | ||||
\(714\) | −13.4534 | − | 23.3019i | −0.503479 | − | 0.872052i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −17.6814 | + | 6.43550i | −0.660785 | + | 0.240506i | ||||
\(717\) | 23.7331 | − | 4.18479i | 0.886330 | − | 0.156284i | ||||
\(718\) | 33.1786 | + | 5.85029i | 1.23822 | + | 0.218331i | ||||
\(719\) | −29.3209 | − | 10.6719i | −1.09348 | − | 0.397996i | −0.268574 | − | 0.963259i | \(-0.586552\pi\) |
−0.824911 | + | 0.565263i | \(0.808775\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 23.1242 | 0.861192 | ||||||||
\(722\) | 12.4259 | − | 14.3735i | 0.462445 | − | 0.534925i | ||||
\(723\) | − | 26.8161i | − | 0.997303i | ||||||
\(724\) | −2.12836 | + | 1.78590i | −0.0790997 | + | 0.0663725i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.228026 | + | 1.29320i | −0.00846283 | + | 0.0479951i | ||||
\(727\) | 25.2715 | − | 4.45605i | 0.937269 | − | 0.165266i | 0.315908 | − | 0.948790i | \(-0.397691\pi\) |
0.621361 | + | 0.783524i | \(0.286580\pi\) | |||||||
\(728\) | −5.30731 | − | 14.5817i | −0.196702 | − | 0.540434i | ||||
\(729\) | 15.0201 | − | 26.0155i | 0.556299 | − | 0.963538i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −30.2768 | − | 25.4052i | −1.11983 | − | 0.939647i | ||||
\(732\) | −2.89122 | + | 3.44562i | −0.106863 | + | 0.127354i | ||||
\(733\) | 20.6751 | − | 11.9368i | 0.763651 | − | 0.440894i | −0.0669540 | − | 0.997756i | \(-0.521328\pi\) |
0.830605 | + | 0.556862i | \(0.187995\pi\) | |||||||
\(734\) | −5.23442 | + | 9.06629i | −0.193206 | + | 0.334643i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.120615 | − | 0.684040i | −0.00444592 | − | 0.0252141i | ||||
\(737\) | −15.5507 | − | 2.74200i | −0.572816 | − | 0.101003i | ||||
\(738\) | −0.0775297 | + | 0.213011i | −0.00285391 | + | 0.00784104i | ||||
\(739\) | 35.1924 | − | 29.5299i | 1.29457 | − | 1.08628i | 0.303517 | − | 0.952826i | \(-0.401839\pi\) |
0.991056 | − | 0.133449i | \(-0.0426052\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −24.9368 | + | 29.2780i | −0.916075 | + | 1.07555i | ||||
\(742\) | 22.1284i | 0.812357i | ||||||||
\(743\) | 32.7895 | + | 39.0770i | 1.20293 | + | 1.43360i | 0.871697 | + | 0.490046i | \(0.163020\pi\) |
0.331232 | + | 0.943549i | \(0.392536\pi\) | |||||||
\(744\) | 3.53209 | + | 1.28558i | 0.129493 | + | 0.0471315i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 4.15064 | + | 23.5395i | 0.151966 | + | 0.861841i | ||||
\(747\) | 1.89209 | + | 5.19846i | 0.0692278 | + | 0.190202i | ||||
\(748\) | −17.9761 | − | 10.3785i | −0.657271 | − | 0.379476i | ||||
\(749\) | −15.4311 | − | 26.7274i | −0.563839 | − | 0.976598i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −27.8607 | − | 23.3779i | −1.01665 | − | 0.853072i | −0.0274489 | − | 0.999623i | \(-0.508738\pi\) |
−0.989203 | + | 0.146551i | \(0.953183\pi\) | |||||||
\(752\) | 6.83045 | − | 3.94356i | 0.249081 | − | 0.143807i | ||||
\(753\) | 11.3672 | + | 6.56283i | 0.414242 | + | 0.239163i | ||||
\(754\) | 15.2763 | − | 5.56012i | 0.556330 | − | 0.202488i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −2.61856 | + | 14.8506i | −0.0952359 | + | 0.540110i | ||||
\(757\) | −1.98486 | + | 5.45336i | −0.0721410 | + | 0.198206i | −0.970523 | − | 0.241010i | \(-0.922521\pi\) |
0.898382 | + | 0.439216i | \(0.144744\pi\) | |||||||
\(758\) | −11.4503 | − | 13.6459i | −0.415892 | − | 0.495641i | ||||
\(759\) | 3.38919 | 0.123020 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6355 | 0.820535 | 0.410268 | − | 0.911965i | \(-0.365435\pi\) | ||||
0.410268 | + | 0.911965i | \(0.365435\pi\) | |||||||
\(762\) | 9.58186 | + | 11.4192i | 0.347114 | + | 0.413675i | ||||
\(763\) | −8.01298 | + | 22.0155i | −0.290089 | + | 0.797014i | ||||
\(764\) | −1.66044 | + | 9.41685i | −0.0600728 | + | 0.340690i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −23.5672 | + | 8.57775i | −0.851516 | + | 0.309927i | ||||
\(767\) | 2.86257 | + | 1.65270i | 0.103361 | + | 0.0596757i | ||||
\(768\) | −1.32683 | + | 0.766044i | −0.0478778 | + | 0.0276422i | ||||
\(769\) | −8.35188 | − | 7.00806i | −0.301177 | − | 0.252717i | 0.479657 | − | 0.877456i | \(-0.340761\pi\) |
−0.780834 | + | 0.624739i | \(0.785205\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.14724 | + | 10.6473i | 0.221387 | + | 0.383454i | ||||
\(772\) | 20.5083 | + | 11.8405i | 0.738111 | + | 0.426149i | ||||
\(773\) | −1.79585 | − | 4.93407i | −0.0645924 | − | 0.177466i | 0.903198 | − | 0.429225i | \(-0.141213\pi\) |
−0.967790 | + | 0.251759i | \(0.918991\pi\) | |||||||
\(774\) | 0.687319 | + | 3.89798i | 0.0247052 | + | 0.140110i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.326352 | + | 0.118782i | 0.0117153 | + | 0.00426404i | ||||
\(777\) | −11.5954 | − | 13.8188i | −0.415982 | − | 0.495748i | ||||
\(778\) | 9.41828i | 0.337662i | ||||||||
\(779\) | −1.31655 | + | 0.747243i | −0.0471704 | + | 0.0267728i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.6236 | + | 17.3053i | −0.737971 | + | 0.619231i | ||||
\(782\) | 1.54834 | − | 4.25402i | 0.0553684 | − | 0.152124i | ||||
\(783\) | −15.5580 | − | 2.74329i | −0.555996 | − | 0.0980371i | ||||
\(784\) | −0.0452926 | − | 0.256867i | −0.00161759 | − | 0.00917383i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 4.95471 | − | 8.58180i | 0.176729 | − | 0.306103i | ||||
\(787\) | −2.06758 | + | 1.19372i | −0.0737011 | + | 0.0425514i | −0.536398 | − | 0.843965i | \(-0.680215\pi\) |
0.462697 | + | 0.886517i | \(0.346882\pi\) | |||||||
\(788\) | −14.7341 | + | 17.5594i | −0.524881 | + | 0.625529i | ||||
\(789\) | 6.99588 | + | 5.87024i | 0.249060 | + | 0.208986i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.85298 | + | 6.67355i | −0.136996 | + | 0.237284i | ||||
\(792\) | 0.710966 | + | 1.95336i | 0.0252631 | + | 0.0694097i | ||||
\(793\) | −16.6499 | + | 2.93582i | −0.591254 | + | 0.104254i | ||||
\(794\) | −1.18984 | + | 6.74795i | −0.0422260 | + | 0.239476i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.72462 | − | 6.48173i | 0.273792 | − | 0.229739i | ||||
\(797\) | 31.0951i | 1.10145i | 0.834688 | + | 0.550723i | \(0.185648\pi\) | ||||
−0.834688 | + | 0.550723i | \(0.814352\pi\) | |||||||
\(798\) | −13.8698 | + | 11.4652i | −0.490986 | + | 0.405864i | ||||
\(799\) | 51.4047 | 1.81857 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 4.74675 | + | 1.72768i | 0.167718 | + | 0.0610444i | ||||
\(802\) | 4.67479 | + | 0.824292i | 0.165073 | + | 0.0291068i | ||||
\(803\) | 49.4502 | − | 8.71941i | 1.74506 | − | 0.307701i | ||||
\(804\) | −7.13816 | + | 2.59808i | −0.251743 | + | 0.0916271i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 7.06418 | + | 12.2355i | 0.248825 | + | 0.430978i | ||||
\(807\) | 1.13052 | − | 1.34730i | 0.0397960 | − | 0.0474271i | ||||
\(808\) | −0.237565 | + | 0.283119i | −0.00835750 | + | 0.00996008i | ||||
\(809\) | 11.1518 | + | 19.3155i | 0.392077 | + | 0.679098i | 0.992723 | − | 0.120417i | \(-0.0384232\pi\) |
−0.600646 | + | 0.799515i | \(0.705090\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.11886 | + | 1.13517i | −0.109518 | + | 0.0398613i | −0.396198 | − | 0.918165i | \(-0.629671\pi\) |
0.286680 | + | 0.958026i | \(0.407448\pi\) | |||||||
\(812\) | 7.49113 | − | 1.32089i | 0.262887 | − | 0.0463541i | ||||
\(813\) | −30.2588 | − | 5.33544i | −1.06122 | − | 0.187122i | ||||
\(814\) | −13.0770 | − | 4.75963i | −0.458348 | − | 0.166825i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −9.98545 | −0.349561 | ||||||||
\(817\) | −13.3847 | + | 22.7939i | −0.468273 | + | 0.797456i | ||||
\(818\) | − | 31.6928i | − | 1.10811i | ||||||
\(819\) | −7.75877 | + | 6.51038i | −0.271113 | + | 0.227491i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.318201 | + | 1.80460i | −0.0111053 | + | 0.0629811i | −0.989857 | − | 0.142069i | \(-0.954625\pi\) |
0.978752 | + | 0.205050i | \(0.0657357\pi\) | |||||||
\(822\) | 17.5934 | − | 3.10220i | 0.613641 | − | 0.108202i | ||||
\(823\) | −11.7100 | − | 32.1729i | −0.408185 | − | 1.12148i | −0.958144 | − | 0.286287i | \(-0.907579\pi\) |
0.549959 | − | 0.835191i | \(-0.314643\pi\) | |||||||
\(824\) | 4.29086 | − | 7.43199i | 0.149479 | − | 0.258906i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.18479 | + | 0.994159i | 0.0412242 | + | 0.0345912i | ||||
\(827\) | 12.7695 | − | 15.2181i | 0.444038 | − | 0.529184i | −0.496880 | − | 0.867820i | \(-0.665521\pi\) |
0.940918 | + | 0.338636i | \(0.109965\pi\) | |||||||
\(828\) | −0.392624 | + | 0.226682i | −0.0136446 | + | 0.00787773i | ||||
\(829\) | −17.8675 | + | 30.9475i | −0.620565 | + | 1.07485i | 0.368816 | + | 0.929502i | \(0.379763\pi\) |
−0.989381 | + | 0.145347i | \(0.953570\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.61856 | + | 26.1931i | 0.160216 | + | 0.908630i | ||||
\(832\) | −5.67128 | − | 1.00000i | −0.196616 | − | 0.0346688i | ||||
\(833\) | 0.581424 | − | 1.59745i | 0.0201451 | − | 0.0553483i | ||||
\(834\) | 9.69846 | − | 8.13798i | 0.335830 | − | 0.281795i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −4.84389 | + | 13.0097i | −0.167530 | + | 0.449949i | ||||
\(837\) | − | 13.7297i | − | 0.474567i | ||||||
\(838\) | 7.07716 | + | 8.43423i | 0.244476 | + | 0.291356i | ||||
\(839\) | −51.1147 | − | 18.6042i | −1.76468 | − | 0.642290i | −0.764679 | − | 0.644411i | \(-0.777103\pi\) |
−0.999998 | + | 0.00212143i | \(0.999325\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.65199 | − | 20.7115i | −0.125931 | − | 0.714188i | ||||
\(842\) | 2.96377 | + | 8.14290i | 0.102138 | + | 0.280623i | ||||
\(843\) | 3.87603 | + | 2.23783i | 0.133498 | + | 0.0770748i | ||||
\(844\) | −11.1800 | − | 19.3644i | −0.384833 | − | 0.666550i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −3.94356 | − | 3.30904i | −0.135582 | − | 0.113767i | ||||
\(847\) | −2.00011 | + | 1.15476i | −0.0687245 | + | 0.0396781i | ||||
\(848\) | 7.11192 | + | 4.10607i | 0.244224 | + | 0.141003i | ||||
\(849\) | −13.6493 | + | 4.96794i | −0.468443 | + | 0.170499i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.527036 | − | 2.98897i | 0.0180666 | − | 0.102461i | ||||
\(852\) | −4.42961 | + | 12.1702i | −0.151756 | + | 0.416946i | ||||
\(853\) | −10.2694 | − | 12.2385i | −0.351616 | − | 0.419040i | 0.561027 | − | 0.827798i | \(-0.310406\pi\) |
−0.912643 | + | 0.408758i | \(0.865962\pi\) | |||||||
\(854\) | −7.91085 | −0.270704 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.4534 | −0.391468 | ||||||||
\(857\) | −16.7218 | − | 19.9283i | −0.571207 | − | 0.680738i | 0.400671 | − | 0.916222i | \(-0.368777\pi\) |
−0.971878 | + | 0.235484i | \(0.924332\pi\) | |||||||
\(858\) | 9.61051 | − | 26.4047i | 0.328097 | − | 0.901440i | ||||
\(859\) | −9.25031 | + | 52.4611i | −0.315617 | + | 1.78995i | 0.253124 | + | 0.967434i | \(0.418542\pi\) |
−0.568740 | + | 0.822517i | \(0.692569\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.34730 | − | 0.490376i | 0.0459157 | − | 0.0167120i | ||||
\(862\) | 25.8830 | + | 14.9436i | 0.881579 | + | 0.508980i | ||||
\(863\) | −2.79876 | + | 1.61587i | −0.0952710 | + | 0.0550048i | −0.546879 | − | 0.837212i | \(-0.684184\pi\) |
0.451608 | + | 0.892217i | \(0.350851\pi\) | |||||||
\(864\) | 4.28699 | + | 3.59721i | 0.145846 | + | 0.122380i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −4.63041 | − | 8.02011i | −0.157348 | − | 0.272535i | ||||
\(867\) | −33.8054 | − | 19.5175i | −1.14809 | − | 0.662850i | ||||
\(868\) | 2.26103 | + | 6.21213i | 0.0767444 | + | 0.210854i | ||||
\(869\) | 5.01279 | + | 28.4290i | 0.170047 | + | 0.964387i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −26.8307 | − | 9.76557i | −0.909123 | − | 0.330894i | ||||
\(872\) | 5.58878 | + | 6.66044i | 0.189260 | + | 0.225551i | ||||
\(873\) | − | 0.226682i | − | 0.00767201i | ||||||
\(874\) | −2.97771 | − | 0.547683i | −0.100723 | − | 0.0185257i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 18.5043 | − | 15.5270i | 0.625204 | − | 0.524608i | ||||
\(877\) | 4.00995 | − | 11.0172i | 0.135406 | − | 0.372026i | −0.853395 | − | 0.521265i | \(-0.825460\pi\) |
0.988801 | + | 0.149239i | \(0.0476825\pi\) | |||||||
\(878\) | −20.5452 | − | 3.62267i | −0.693367 | − | 0.122259i | ||||
\(879\) | 7.26083 | + | 41.1782i | 0.244902 | + | 1.38891i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −13.5236 | + | 23.4236i | −0.455623 | + | 0.789162i | −0.998724 | − | 0.0505056i | \(-0.983917\pi\) |
0.543101 | + | 0.839667i | \(0.317250\pi\) | |||||||
\(882\) | −0.147436 | + | 0.0851223i | −0.00496443 | + | 0.00286622i | ||||
\(883\) | 9.30823 | − | 11.0931i | 0.313247 | − | 0.373313i | −0.586333 | − | 0.810070i | \(-0.699429\pi\) |
0.899579 | + | 0.436758i | \(0.143873\pi\) | |||||||
\(884\) | −28.7520 | − | 24.1258i | −0.967033 | − | 0.811437i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −11.9140 | + | 20.6357i | −0.400259 | + | 0.693268i | ||||
\(887\) | 3.96443 | + | 10.8922i | 0.133112 | + | 0.365724i | 0.988285 | − | 0.152620i | \(-0.0487711\pi\) |
−0.855172 | + | 0.518344i | \(0.826549\pi\) | |||||||
\(888\) | −6.59289 | + | 1.16250i | −0.221243 | + | 0.0390111i | ||||
\(889\) | −4.55262 | + | 25.8192i | −0.152690 | + | 0.865948i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −16.1407 | + | 13.5436i | −0.540733 | + | 0.453729i | ||||
\(892\) | − | 9.27631i | − | 0.310594i | ||||||
\(893\) | −5.72048 | − | 33.8999i | −0.191428 | − | 1.13442i | ||||
\(894\) | 25.2080 | 0.843082 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −2.53209 | − | 0.921605i | −0.0845912 | − | 0.0307887i | ||||
\(897\) | 6.03525 | + | 1.06418i | 0.201511 | + | 0.0355319i | ||||
\(898\) | −2.14895 | + | 0.378918i | −0.0717115 | + | 0.0126447i | ||||
\(899\) | −6.50805 | + | 2.36873i | −0.217055 | + | 0.0790017i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 26.7615 | + | 46.3522i | 0.891553 | + | 1.54422i | ||||
\(902\) | 0.710966 | − | 0.847296i | 0.0236726 | − | 0.0282119i | ||||
\(903\) | 16.0922 | − | 19.1780i | 0.535516 | − | 0.638203i | ||||
\(904\) | 1.42989 | + | 2.47665i | 0.0475575 | + | 0.0823720i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −6.70233 | + | 2.43945i | −0.222670 | + | 0.0810453i | ||||
\(907\) | −41.3409 | + | 7.28952i | −1.37270 | + | 0.242044i | −0.810879 | − | 0.585213i | \(-0.801011\pi\) |
−0.561823 | + | 0.827258i | \(0.689900\pi\) | |||||||
\(908\) | −7.61895 | − | 1.34343i | −0.252844 | − | 0.0445832i | ||||
\(909\) | 0.226682 | + | 0.0825054i | 0.00751855 | + | 0.00273653i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −44.8675 | −1.48653 | −0.743264 | − | 0.668999i | \(-0.766723\pi\) | ||||
−0.743264 | + | 0.668999i | \(0.766723\pi\) | |||||||
\(912\) | 1.11121 | + | 6.58512i | 0.0367959 | + | 0.218055i | ||||
\(913\) | − | 26.9932i | − | 0.893344i | ||||||
\(914\) | −1.36437 | + | 1.14484i | −0.0451294 | + | 0.0378680i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.00000 | + | 22.6851i | −0.132164 | + | 0.749538i | ||||
\(917\) | 17.1636 | − | 3.02641i | 0.566792 | − | 0.0999408i | ||||
\(918\) | 12.4748 | + | 34.2743i | 0.411730 | + | 1.13122i | ||||
\(919\) | −16.2635 | + | 28.1692i | −0.536484 | + | 0.929217i | 0.462606 | + | 0.886564i | \(0.346914\pi\) |
−0.999090 | + | 0.0426535i | \(0.986419\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 25.0323 | + | 21.0046i | 0.824843 | + | 0.692125i | ||||
\(922\) | 9.95578 | − | 11.8648i | 0.327876 | − | 0.390748i | ||||
\(923\) | −42.1590 | + | 24.3405i | −1.38768 | + | 0.801177i | ||||
\(924\) | 6.57398 | − | 11.3865i | 0.216268 | − | 0.374587i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −0.470599 | − | 2.66890i | −0.0154649 | − | 0.0877056i | ||||
\(927\) | −5.51622 | − | 0.972659i | −0.181177 | − | 0.0319463i | ||||
\(928\) | 0.965505 | − | 2.65270i | 0.0316943 | − | 0.0870793i | ||||
\(929\) | −9.07011 | + | 7.61072i | −0.297581 | + | 0.249700i | −0.779336 | − | 0.626606i | \(-0.784444\pi\) |
0.481756 | + | 0.876305i | \(0.339999\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.11817 | − | 0.205663i | −0.0366467 | − | 0.00674034i | ||||
\(932\) | 8.39961i | 0.275139i | ||||||||
\(933\) | 28.8468 | + | 34.3783i | 0.944401 | + | 1.12549i | ||||
\(934\) | 12.1348 | + | 4.41669i | 0.397061 | + | 0.144518i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0.652704 | + | 3.70167i | 0.0213343 | + | 0.120993i | ||||
\(937\) | 0.261243 | + | 0.717759i | 0.00853443 | + | 0.0234482i | 0.943887 | − | 0.330269i | \(-0.107140\pi\) |
−0.935352 | + | 0.353718i | \(0.884917\pi\) | |||||||
\(938\) | −11.5702 | − | 6.68004i | −0.377780 | − | 0.218111i | ||||
\(939\) | 4.26011 | + | 7.37874i | 0.139024 | + | 0.240796i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.4652 | − | 13.8160i | −0.536751 | − | 0.450388i | 0.333674 | − | 0.942688i | \(-0.391711\pi\) |
−0.870425 | + | 0.492301i | \(0.836156\pi\) | |||||||
\(942\) | 11.2162 | − | 6.47565i | 0.365442 | − | 0.210988i | ||||
\(943\) | 0.208911 | + | 0.120615i | 0.00680307 | + | 0.00392776i | ||||
\(944\) | 0.539363 | − | 0.196312i | 0.0175548 | − | 0.00638941i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.35369 | − | 19.0197i | 0.109038 | − | 0.618385i | ||||
\(947\) | 10.8369 | − | 29.7743i | 0.352153 | − | 0.967533i | −0.629524 | − | 0.776981i | \(-0.716750\pi\) |
0.981677 | − | 0.190552i | \(-0.0610278\pi\) | |||||||
\(948\) | 8.92647 | + | 10.6382i | 0.289918 | + | 0.345511i | ||||
\(949\) | 90.7957 | 2.94735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.82707 | 0.188956 | ||||||||
\(952\) | −11.2887 | − | 13.4534i | −0.365869 | − | 0.436026i | ||||
\(953\) | −19.1091 | + | 52.5017i | −0.619003 | + | 1.70070i | 0.0904104 | + | 0.995905i | \(0.471182\pi\) |
−0.709414 | + | 0.704792i | \(0.751040\pi\) | |||||||
\(954\) | 0.930770 | − | 5.27866i | 0.0301348 | − | 0.170903i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 14.7811 | − | 5.37987i | 0.478054 | − | 0.173997i | ||||
\(957\) | 11.9289 | + | 6.88713i | 0.385605 | + | 0.222629i | ||||
\(958\) | 16.0670 | − | 9.27631i | 0.519103 | − | 0.299704i | ||||
\(959\) | 24.0692 | + | 20.1965i | 0.777236 | + | 0.652178i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.4905 | + | 21.6342i | 0.402920 | + | 0.697877i | ||||
\(962\) | −21.7922 | − | 12.5817i | −0.702608 | − | 0.405651i | ||||
\(963\) | 2.55682 | + | 7.02481i | 0.0823925 | + | 0.226371i | ||||
\(964\) | −3.03936 | − | 17.2371i | −0.0978913 | − | 0.555169i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 2.69459 | + | 0.980752i | 0.0866971 | + | 0.0315552i | ||||
\(967\) | 13.8564 | + | 16.5134i | 0.445592 | + | 0.531036i | 0.941353 | − | 0.337423i | \(-0.109555\pi\) |
−0.495761 | + | 0.868459i | \(0.665111\pi\) | |||||||
\(968\) | 0.857097i | 0.0275481i | ||||||||
\(969\) | −15.1873 | + | 40.7900i | −0.487887 | + | 1.31036i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 37.2729 | − | 31.2757i | 1.19614 | − | 1.00368i | 0.196413 | − | 0.980521i | \(-0.437071\pi\) |
0.999732 | − | 0.0231632i | \(-0.00737372\pi\) | |||||||
\(972\) | 2.27536 | − | 6.25150i | 0.0729822 | − | 0.200517i | ||||
\(973\) | 21.9285 | + | 3.86659i | 0.702996 | + | 0.123957i | ||||
\(974\) | −7.14971 | − | 40.5480i | −0.229092 | − | 1.29924i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.46791 | + | 2.54250i | −0.0469867 | + | 0.0813833i | ||||
\(977\) | −43.7760 | + | 25.2741i | −1.40052 | + | 0.808590i | −0.994446 | − | 0.105251i | \(-0.966435\pi\) |
−0.406073 | + | 0.913841i | \(0.633102\pi\) | |||||||
\(978\) | 16.7906 | − | 20.0103i | 0.536904 | − | 0.639858i | ||||
\(979\) | −18.8812 | − | 15.8432i | −0.603446 | − | 0.506351i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.83750 | − | 4.91469i | 0.0905943 | − | 0.156914i | ||||
\(982\) | 7.72199 | + | 21.2160i | 0.246419 | + | 0.677030i | ||||
\(983\) | −29.6034 | + | 5.21987i | −0.944201 | + | 0.166488i | −0.624495 | − | 0.781029i | \(-0.714695\pi\) |
−0.319706 | + | 0.947517i | \(0.603584\pi\) | |||||||
\(984\) | 0.0923963 | − | 0.524005i | 0.00294549 | − | 0.0167047i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 14.0942 | − | 11.8264i | 0.448851 | − | 0.376631i | ||||
\(987\) | 32.5609i | 1.03642i | ||||||||
\(988\) | −12.7106 | + | 21.6459i | −0.404379 | + | 0.688648i | ||||
\(989\) | 4.21213 | 0.133938 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.58677 | − | 0.941508i | −0.0821715 | − | 0.0299080i | 0.300607 | − | 0.953748i | \(-0.402811\pi\) |
−0.382779 | + | 0.923840i | \(0.625033\pi\) | |||||||
\(992\) | 2.41609 | + | 0.426022i | 0.0767110 | + | 0.0135262i | ||||
\(993\) | 30.8128 | − | 5.43313i | 0.977816 | − | 0.172415i | ||||
\(994\) | −21.4047 | + | 7.79066i | −0.678915 | + | 0.247105i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −6.49273 | − | 11.2457i | −0.205730 | − | 0.356335i | ||||
\(997\) | −5.59527 | + | 6.66819i | −0.177204 | + | 0.211184i | −0.847334 | − | 0.531060i | \(-0.821794\pi\) |
0.670130 | + | 0.742244i | \(0.266238\pi\) | |||||||
\(998\) | −18.8521 | + | 22.4670i | −0.596752 | + | 0.711182i | ||||
\(999\) | 12.2267 | + | 21.1772i | 0.386835 | + | 0.670018i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))