Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.186694177220038656.3 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 343x^{6} + 117649 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.1 | ||
Root | \(-0.459430 - 2.60556i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.n.245.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | −2.02676 | + | 1.70066i | −1.17015 | + | 0.981874i | −0.999994 | − | 0.00354242i | \(-0.998872\pi\) |
−0.170158 | + | 0.985417i | \(0.554428\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −3.42589 | − | 1.24692i | −1.53210 | − | 0.557640i | −0.567967 | − | 0.823051i | \(-0.692270\pi\) |
−0.964135 | + | 0.265411i | \(0.914492\pi\) | |||||||
\(6\) | −2.02676 | − | 1.70066i | −0.827423 | − | 0.694290i | ||||
\(7\) | 0.822876 | − | 1.42526i | 0.311018 | − | 0.538699i | −0.667565 | − | 0.744551i | \(-0.732663\pi\) |
0.978583 | + | 0.205853i | \(0.0659968\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.694593 | − | 3.93923i | 0.231531 | − | 1.31308i | ||||
\(10\) | 0.633078 | − | 3.59036i | 0.200197 | − | 1.13537i | ||||
\(11\) | −0.322876 | − | 0.559237i | −0.0973507 | − | 0.168616i | 0.813237 | − | 0.581933i | \(-0.197704\pi\) |
−0.910587 | + | 0.413317i | \(0.864370\pi\) | |||||||
\(12\) | 1.32288 | − | 2.29129i | 0.381881 | − | 0.661438i | ||||
\(13\) | 1.53209 | + | 1.28558i | 0.424925 | + | 0.356554i | 0.830033 | − | 0.557714i | \(-0.188322\pi\) |
−0.405108 | + | 0.914269i | \(0.632766\pi\) | |||||||
\(14\) | 1.54650 | + | 0.562880i | 0.413320 | + | 0.150436i | ||||
\(15\) | 9.06404 | − | 3.29904i | 2.34033 | − | 0.851809i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(18\) | 4.00000 | 0.942809 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.64575 | 0.815215 | ||||||||
\(21\) | 0.756107 | + | 4.28810i | 0.164996 | + | 0.935740i | ||||
\(22\) | 0.494674 | − | 0.415081i | 0.105465 | − | 0.0884956i | ||||
\(23\) | −3.42589 | + | 1.24692i | −0.714347 | + | 0.260001i | −0.673524 | − | 0.739166i | \(-0.735220\pi\) |
−0.0408227 | + | 0.999166i | \(0.512998\pi\) | |||||||
\(24\) | 2.48619 | + | 0.904900i | 0.507492 | + | 0.184712i | ||||
\(25\) | 6.35166 | + | 5.32968i | 1.27033 | + | 1.06594i | ||||
\(26\) | −1.00000 | + | 1.73205i | −0.196116 | + | 0.339683i | ||||
\(27\) | 1.32288 | + | 2.29129i | 0.254588 | + | 0.440959i | ||||
\(28\) | −0.285782 | + | 1.62075i | −0.0540077 | + | 0.306293i | ||||
\(29\) | −0.633078 | + | 3.59036i | −0.117560 | + | 0.666714i | 0.867891 | + | 0.496754i | \(0.165475\pi\) |
−0.985451 | + | 0.169960i | \(0.945636\pi\) | |||||||
\(30\) | 4.82288 | + | 8.35347i | 0.880533 | + | 1.52513i | ||||
\(31\) | 0.177124 | − | 0.306788i | 0.0318125 | − | 0.0551008i | −0.849681 | − | 0.527297i | \(-0.823205\pi\) |
0.881493 | + | 0.472197i | \(0.156539\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 1.60546 | + | 0.584341i | 0.279475 | + | 0.101721i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.59627 | + | 3.85673i | −0.776911 | + | 0.651906i | ||||
\(36\) | 0.694593 | + | 3.93923i | 0.115765 | + | 0.656539i | ||||
\(37\) | 5.64575 | 0.928156 | 0.464078 | − | 0.885794i | \(-0.346386\pi\) | ||||
0.464078 | + | 0.885794i | \(0.346386\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.29150 | −0.847319 | ||||||||
\(40\) | 0.633078 | + | 3.59036i | 0.100098 | + | 0.567686i | ||||
\(41\) | 7.88375 | − | 6.61525i | 1.23123 | − | 1.03313i | 0.233077 | − | 0.972458i | \(-0.425121\pi\) |
0.998158 | − | 0.0606702i | \(-0.0193238\pi\) | |||||||
\(42\) | −4.09166 | + | 1.48924i | −0.631356 | + | 0.229795i | ||||
\(43\) | −0.665770 | − | 0.242320i | −0.101529 | − | 0.0369535i | 0.290756 | − | 0.956797i | \(-0.406093\pi\) |
−0.392285 | + | 0.919844i | \(0.628315\pi\) | |||||||
\(44\) | 0.494674 | + | 0.415081i | 0.0745749 | + | 0.0625758i | ||||
\(45\) | −7.29150 | + | 12.6293i | −1.08695 | + | 1.88266i | ||||
\(46\) | −1.82288 | − | 3.15731i | −0.268768 | − | 0.465520i | ||||
\(47\) | 1.67497 | − | 9.49921i | 0.244319 | − | 1.38560i | −0.577750 | − | 0.816214i | \(-0.696069\pi\) |
0.822069 | − | 0.569388i | \(-0.192820\pi\) | |||||||
\(48\) | −0.459430 | + | 2.60556i | −0.0663130 | + | 0.376080i | ||||
\(49\) | 2.14575 | + | 3.71655i | 0.306536 | + | 0.530936i | ||||
\(50\) | −4.14575 | + | 7.18065i | −0.586298 | + | 1.01550i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.87939 | − | 0.684040i | −0.260624 | − | 0.0948593i | ||||
\(53\) | −8.06539 | + | 2.93556i | −1.10787 | + | 0.403230i | −0.830210 | − | 0.557450i | \(-0.811780\pi\) |
−0.277656 | + | 0.960681i | \(0.589557\pi\) | |||||||
\(54\) | −2.02676 | + | 1.70066i | −0.275808 | + | 0.231430i | ||||
\(55\) | 0.408811 | + | 2.31848i | 0.0551241 | + | 0.312624i | ||||
\(56\) | −1.64575 | −0.219923 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.64575 | −0.478711 | ||||||||
\(59\) | 1.37829 | + | 7.81667i | 0.179438 | + | 1.01764i | 0.932896 | + | 0.360147i | \(0.117273\pi\) |
−0.753458 | + | 0.657497i | \(0.771615\pi\) | |||||||
\(60\) | −7.38907 | + | 6.20017i | −0.953925 | + | 0.800438i | ||||
\(61\) | 14.0364 | − | 5.10884i | 1.79718 | − | 0.654120i | 0.798543 | − | 0.601938i | \(-0.205605\pi\) |
0.998638 | − | 0.0521821i | \(-0.0166176\pi\) | |||||||
\(62\) | 0.332885 | + | 0.121160i | 0.0422764 | + | 0.0153874i | ||||
\(63\) | −5.04287 | − | 4.23147i | −0.635342 | − | 0.533116i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −3.64575 | − | 6.31463i | −0.452200 | − | 0.783233i | ||||
\(66\) | −0.296677 | + | 1.68254i | −0.0365185 | + | 0.207107i | ||||
\(67\) | −0.806726 | + | 4.57517i | −0.0985573 | + | 0.558946i | 0.895042 | + | 0.445982i | \(0.147146\pi\) |
−0.993599 | + | 0.112964i | \(0.963966\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.82288 | − | 8.35347i | 0.580606 | − | 1.00564i | ||||
\(70\) | −4.59627 | − | 3.85673i | −0.549359 | − | 0.460967i | ||||
\(71\) | 12.4899 | + | 4.54596i | 1.48228 | + | 0.539506i | 0.951405 | − | 0.307943i | \(-0.0996405\pi\) |
0.530877 | + | 0.847449i | \(0.321863\pi\) | |||||||
\(72\) | −3.75877 | + | 1.36808i | −0.442975 | + | 0.161230i | ||||
\(73\) | 9.41584 | − | 7.90083i | 1.10204 | − | 0.924722i | 0.104480 | − | 0.994527i | \(-0.466682\pi\) |
0.997561 | + | 0.0698053i | \(0.0222378\pi\) | |||||||
\(74\) | 0.980374 | + | 5.55998i | 0.113966 | + | 0.646335i | ||||
\(75\) | −21.9373 | −2.53310 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.06275 | −0.121111 | ||||||||
\(78\) | −0.918860 | − | 5.21111i | −0.104040 | − | 0.590042i | ||||
\(79\) | −3.06418 | + | 2.57115i | −0.344747 | + | 0.289277i | −0.798677 | − | 0.601760i | \(-0.794466\pi\) |
0.453930 | + | 0.891038i | \(0.350022\pi\) | |||||||
\(80\) | −3.42589 | + | 1.24692i | −0.383026 | + | 0.139410i | ||||
\(81\) | 4.69846 | + | 1.71010i | 0.522051 | + | 0.190011i | ||||
\(82\) | 7.88375 | + | 6.61525i | 0.870614 | + | 0.730532i | ||||
\(83\) | 3.96863 | − | 6.87386i | 0.435613 | − | 0.754505i | −0.561732 | − | 0.827319i | \(-0.689865\pi\) |
0.997345 | + | 0.0728147i | \(0.0231982\pi\) | |||||||
\(84\) | −2.17712 | − | 3.77089i | −0.237544 | − | 0.411438i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0.123029 | − | 0.697734i | 0.0132666 | − | 0.0752386i | ||||
\(87\) | −4.82288 | − | 8.35347i | −0.517067 | − | 0.895586i | ||||
\(88\) | −0.322876 | + | 0.559237i | −0.0344187 | + | 0.0596149i | ||||
\(89\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(90\) | −13.7035 | − | 4.98768i | −1.44448 | − | 0.525748i | ||||
\(91\) | 3.09300 | − | 1.12576i | 0.324235 | − | 0.118012i | ||||
\(92\) | 2.79281 | − | 2.34344i | 0.291170 | − | 0.244321i | ||||
\(93\) | 0.162752 | + | 0.923015i | 0.0168766 | + | 0.0957122i | ||||
\(94\) | 9.64575 | 0.994883 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.64575 | −0.270031 | ||||||||
\(97\) | −2.48169 | − | 14.0744i | −0.251978 | − | 1.42904i | −0.803713 | − | 0.595018i | \(-0.797145\pi\) |
0.551735 | − | 0.834020i | \(-0.313966\pi\) | |||||||
\(98\) | −3.28748 | + | 2.75852i | −0.332086 | + | 0.278653i | ||||
\(99\) | −2.42723 | + | 0.883440i | −0.243946 | + | 0.0887890i | ||||
\(100\) | −7.79146 | − | 2.83586i | −0.779146 | − | 0.283586i | ||||
\(101\) | −6.39973 | − | 5.37001i | −0.636797 | − | 0.534336i | 0.266236 | − | 0.963908i | \(-0.414220\pi\) |
−0.903033 | + | 0.429572i | \(0.858664\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.35425 | + | 2.34563i | 0.133438 | + | 0.231122i | 0.925000 | − | 0.379968i | \(-0.124065\pi\) |
−0.791562 | + | 0.611089i | \(0.790732\pi\) | |||||||
\(104\) | 0.347296 | − | 1.96962i | 0.0340552 | − | 0.193137i | ||||
\(105\) | 2.75658 | − | 15.6333i | 0.269015 | − | 1.52566i | ||||
\(106\) | −4.29150 | − | 7.43310i | −0.416828 | − | 0.721967i | ||||
\(107\) | −2.35425 | + | 4.07768i | −0.227594 | + | 0.394204i | −0.957094 | − | 0.289776i | \(-0.906419\pi\) |
0.729501 | + | 0.683980i | \(0.239753\pi\) | |||||||
\(108\) | −2.02676 | − | 1.70066i | −0.195025 | − | 0.163646i | ||||
\(109\) | 6.18600 | + | 2.25152i | 0.592511 | + | 0.215657i | 0.620834 | − | 0.783942i | \(-0.286794\pi\) |
−0.0283222 | + | 0.999599i | \(0.509016\pi\) | |||||||
\(110\) | −2.21227 | + | 0.805200i | −0.210932 | + | 0.0767729i | ||||
\(111\) | −11.4426 | + | 9.60148i | −1.08608 | + | 0.911332i | ||||
\(112\) | −0.285782 | − | 1.62075i | −0.0270038 | − | 0.153146i | ||||
\(113\) | 5.58301 | 0.525205 | 0.262602 | − | 0.964904i | \(-0.415419\pi\) | ||||
0.262602 | + | 0.964904i | \(0.415419\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 13.2915 | 1.23944 | ||||||||
\(116\) | −0.633078 | − | 3.59036i | −0.0587798 | − | 0.333357i | ||||
\(117\) | 6.12836 | − | 5.14230i | 0.566567 | − | 0.475406i | ||||
\(118\) | −7.45858 | + | 2.71470i | −0.686618 | + | 0.249908i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −7.38907 | − | 6.20017i | −0.674527 | − | 0.565995i | ||||
\(121\) | 5.29150 | − | 9.16515i | 0.481046 | − | 0.833196i | ||||
\(122\) | 7.46863 | + | 12.9360i | 0.676178 | + | 1.17117i | ||||
\(123\) | −4.72822 | + | 26.8151i | −0.426330 | + | 2.41784i | ||||
\(124\) | −0.0615146 | + | 0.348867i | −0.00552418 | + | 0.0313292i | ||||
\(125\) | −6.00000 | − | 10.3923i | −0.536656 | − | 0.929516i | ||||
\(126\) | 3.29150 | − | 5.70105i | 0.293230 | − | 0.507890i | ||||
\(127\) | −2.07483 | − | 1.74099i | −0.184111 | − | 0.154488i | 0.546074 | − | 0.837737i | \(-0.316122\pi\) |
−0.730185 | + | 0.683249i | \(0.760566\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 1.76146 | − | 0.641119i | 0.155088 | − | 0.0564474i | ||||
\(130\) | 5.58562 | − | 4.68689i | 0.489891 | − | 0.411067i | ||||
\(131\) | −2.42018 | − | 13.7255i | −0.211452 | − | 1.19920i | −0.886958 | − | 0.461850i | \(-0.847186\pi\) |
0.675506 | − | 0.737354i | \(-0.263925\pi\) | |||||||
\(132\) | −1.70850 | −0.148706 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.64575 | −0.401332 | ||||||||
\(135\) | −1.67497 | − | 9.49921i | −0.144158 | − | 0.817562i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.24631 | − | 1.90950i | 0.448222 | − | 0.163140i | −0.108040 | − | 0.994147i | \(-0.534457\pi\) |
0.556262 | + | 0.831007i | \(0.312235\pi\) | |||||||
\(138\) | 9.06404 | + | 3.29904i | 0.771582 | + | 0.280833i | ||||
\(139\) | 10.2299 | + | 8.58395i | 0.867693 | + | 0.728081i | 0.963611 | − | 0.267308i | \(-0.0861343\pi\) |
−0.0959181 | + | 0.995389i | \(0.530579\pi\) | |||||||
\(140\) | 3.00000 | − | 5.19615i | 0.253546 | − | 0.439155i | ||||
\(141\) | 12.7601 | + | 22.1012i | 1.07460 | + | 1.86126i | ||||
\(142\) | −2.30805 | + | 13.0896i | −0.193687 | + | 1.09845i | ||||
\(143\) | 0.224267 | − | 1.27188i | 0.0187542 | − | 0.106360i | ||||
\(144\) | −2.00000 | − | 3.46410i | −0.166667 | − | 0.288675i | ||||
\(145\) | 6.64575 | − | 11.5108i | 0.551900 | − | 0.955918i | ||||
\(146\) | 9.41584 | + | 7.90083i | 0.779260 | + | 0.653877i | ||||
\(147\) | −10.6695 | − | 3.88338i | −0.880006 | − | 0.320296i | ||||
\(148\) | −5.30527 | + | 1.93096i | −0.436091 | + | 0.158724i | ||||
\(149\) | −3.78216 | + | 3.17361i | −0.309846 | + | 0.259992i | −0.784428 | − | 0.620219i | \(-0.787044\pi\) |
0.474582 | + | 0.880211i | \(0.342599\pi\) | |||||||
\(150\) | −3.80936 | − | 21.6040i | −0.311033 | − | 1.76396i | ||||
\(151\) | −2.93725 | −0.239030 | −0.119515 | − | 0.992832i | \(-0.538134\pi\) | ||||
−0.119515 | + | 0.992832i | \(0.538134\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.184544 | − | 1.04660i | −0.0148710 | − | 0.0843375i | ||||
\(155\) | −0.989348 | + | 0.830162i | −0.0794664 | + | 0.0666802i | ||||
\(156\) | 4.97239 | − | 1.80980i | 0.398109 | − | 0.144900i | ||||
\(157\) | −9.94477 | − | 3.61960i | −0.793679 | − | 0.288876i | −0.0868146 | − | 0.996224i | \(-0.527669\pi\) |
−0.706865 | + | 0.707349i | \(0.749891\pi\) | |||||||
\(158\) | −3.06418 | − | 2.57115i | −0.243773 | − | 0.204550i | ||||
\(159\) | 11.3542 | − | 19.6661i | 0.900450 | − | 1.55963i | ||||
\(160\) | −1.82288 | − | 3.15731i | −0.144111 | − | 0.249608i | ||||
\(161\) | −1.04189 | + | 5.90885i | −0.0821124 | + | 0.465682i | ||||
\(162\) | −0.868241 | + | 4.92404i | −0.0682154 | + | 0.386869i | ||||
\(163\) | 5.96863 | + | 10.3380i | 0.467499 | + | 0.809732i | 0.999310 | − | 0.0371309i | \(-0.0118218\pi\) |
−0.531811 | + | 0.846863i | \(0.678489\pi\) | |||||||
\(164\) | −5.14575 | + | 8.91270i | −0.401816 | + | 0.695965i | ||||
\(165\) | −4.77150 | − | 4.00377i | −0.371461 | − | 0.311693i | ||||
\(166\) | 7.45858 | + | 2.71470i | 0.578898 | + | 0.210702i | ||||
\(167\) | 11.2763 | − | 4.10424i | 0.872587 | − | 0.317596i | 0.133373 | − | 0.991066i | \(-0.457419\pi\) |
0.739214 | + | 0.673470i | \(0.235197\pi\) | |||||||
\(168\) | 3.33555 | − | 2.79886i | 0.257343 | − | 0.215937i | ||||
\(169\) | −1.56283 | − | 8.86327i | −0.120218 | − | 0.681790i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.708497 | 0.0540224 | ||||||||
\(173\) | −1.04189 | − | 5.90885i | −0.0792134 | − | 0.449241i | −0.998456 | − | 0.0555496i | \(-0.982309\pi\) |
0.919243 | − | 0.393692i | \(-0.128802\pi\) | |||||||
\(174\) | 7.38907 | − | 6.20017i | 0.560164 | − | 0.470034i | ||||
\(175\) | 12.8228 | − | 4.66712i | 0.969313 | − | 0.352801i | ||||
\(176\) | −0.606808 | − | 0.220860i | −0.0457399 | − | 0.0166479i | ||||
\(177\) | −16.0869 | − | 13.4985i | −1.20917 | − | 1.01461i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.96863 | − | 17.2662i | −0.745090 | − | 1.29053i | −0.950153 | − | 0.311785i | \(-0.899073\pi\) |
0.205062 | − | 0.978749i | \(-0.434260\pi\) | |||||||
\(180\) | 2.53231 | − | 14.3615i | 0.188747 | − | 1.07044i | ||||
\(181\) | −0.734316 | + | 4.16451i | −0.0545813 | + | 0.309546i | −0.999860 | − | 0.0167174i | \(-0.994678\pi\) |
0.945279 | + | 0.326263i | \(0.105790\pi\) | |||||||
\(182\) | 1.64575 | + | 2.85052i | 0.121991 | + | 0.211295i | ||||
\(183\) | −19.7601 | + | 34.2255i | −1.46071 | + | 2.53003i | ||||
\(184\) | 2.79281 | + | 2.34344i | 0.205889 | + | 0.172761i | ||||
\(185\) | −19.3417 | − | 7.03980i | −1.42203 | − | 0.517577i | ||||
\(186\) | −0.880731 | + | 0.320560i | −0.0645783 | + | 0.0235046i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 1.67497 | + | 9.49921i | 0.122160 | + | 0.692801i | ||||
\(189\) | 4.35425 | 0.316725 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −14.5830 | −1.05519 | −0.527595 | − | 0.849496i | \(-0.676906\pi\) | ||||
−0.527595 | + | 0.849496i | \(0.676906\pi\) | |||||||
\(192\) | −0.459430 | − | 2.60556i | −0.0331565 | − | 0.188040i | ||||
\(193\) | −5.04287 | + | 4.23147i | −0.362994 | + | 0.304588i | −0.805983 | − | 0.591939i | \(-0.798363\pi\) |
0.442989 | + | 0.896527i | \(0.353918\pi\) | |||||||
\(194\) | 13.4296 | − | 4.88798i | 0.964190 | − | 0.350937i | ||||
\(195\) | 18.1281 | + | 6.59808i | 1.29818 | + | 0.472499i | ||||
\(196\) | −3.28748 | − | 2.75852i | −0.234820 | − | 0.197037i | ||||
\(197\) | 1.17712 | − | 2.03884i | 0.0838666 | − | 0.145261i | −0.821041 | − | 0.570869i | \(-0.806606\pi\) |
0.904908 | + | 0.425608i | \(0.139940\pi\) | |||||||
\(198\) | −1.29150 | − | 2.23695i | −0.0917831 | − | 0.158973i | ||||
\(199\) | 2.06199 | − | 11.6941i | 0.146170 | − | 0.828973i | −0.820250 | − | 0.572006i | \(-0.806166\pi\) |
0.966420 | − | 0.256968i | \(-0.0827234\pi\) | |||||||
\(200\) | 1.43980 | − | 8.16554i | 0.101810 | − | 0.577391i | ||||
\(201\) | −6.14575 | − | 10.6448i | −0.433488 | − | 0.750823i | ||||
\(202\) | 4.17712 | − | 7.23499i | 0.293901 | − | 0.509052i | ||||
\(203\) | 4.59627 | + | 3.85673i | 0.322595 | + | 0.270689i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −35.2575 | + | 12.8327i | −2.46249 | + | 0.896274i | ||||
\(206\) | −2.07483 | + | 1.74099i | −0.144560 | + | 0.121300i | ||||
\(207\) | 2.53231 | + | 14.3615i | 0.176008 | + | 0.998190i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 15.8745 | 1.09545 | ||||||||
\(211\) | −0.470326 | − | 2.66735i | −0.0323786 | − | 0.183628i | 0.964329 | − | 0.264706i | \(-0.0852748\pi\) |
−0.996708 | + | 0.0810779i | \(0.974164\pi\) | |||||||
\(212\) | 6.57496 | − | 5.51705i | 0.451570 | − | 0.378913i | ||||
\(213\) | −33.0452 | + | 12.0275i | −2.26422 | + | 0.824110i | ||||
\(214\) | −4.42454 | − | 1.61040i | −0.302455 | − | 0.110085i | ||||
\(215\) | 1.97870 | + | 1.66032i | 0.134946 | + | 0.113233i | ||||
\(216\) | 1.32288 | − | 2.29129i | 0.0900103 | − | 0.155902i | ||||
\(217\) | −0.291503 | − | 0.504897i | −0.0197885 | − | 0.0342747i | ||||
\(218\) | −1.14313 | + | 6.48299i | −0.0774223 | + | 0.439084i | ||||
\(219\) | −5.64708 | + | 32.0262i | −0.381595 | + | 2.16413i | ||||
\(220\) | −1.17712 | − | 2.03884i | −0.0793617 | − | 0.137459i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −11.4426 | − | 9.60148i | −0.767977 | − | 0.644409i | ||||
\(223\) | −27.0742 | − | 9.85420i | −1.81302 | − | 0.659886i | −0.996596 | − | 0.0824365i | \(-0.973730\pi\) |
−0.816426 | − | 0.577450i | \(-0.804048\pi\) | |||||||
\(224\) | 1.54650 | − | 0.562880i | 0.103330 | − | 0.0376090i | ||||
\(225\) | 25.4066 | − | 21.3187i | 1.69378 | − | 1.42125i | ||||
\(226\) | 0.969479 | + | 5.49819i | 0.0644888 | + | 0.365734i | ||||
\(227\) | −12.6458 | −0.839328 | −0.419664 | − | 0.907680i | \(-0.637852\pi\) | ||||
−0.419664 | + | 0.907680i | \(0.637852\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.0000 | 1.32164 | 0.660819 | − | 0.750546i | \(-0.270209\pi\) | ||||
0.660819 | + | 0.750546i | \(0.270209\pi\) | |||||||
\(230\) | 2.30805 | + | 13.0896i | 0.152188 | + | 0.863101i | ||||
\(231\) | 2.15393 | − | 1.80737i | 0.141718 | − | 0.118916i | ||||
\(232\) | 3.42589 | − | 1.24692i | 0.224920 | − | 0.0818643i | ||||
\(233\) | 12.0981 | + | 4.40334i | 0.792572 | + | 0.288472i | 0.706405 | − | 0.707808i | \(-0.250316\pi\) |
0.0861670 | + | 0.996281i | \(0.472538\pi\) | |||||||
\(234\) | 6.12836 | + | 5.14230i | 0.400623 | + | 0.336163i | ||||
\(235\) | −17.5830 | + | 30.4547i | −1.14699 | + | 1.98664i | ||||
\(236\) | −3.96863 | − | 6.87386i | −0.258336 | − | 0.447450i | ||||
\(237\) | 1.83772 | − | 10.4222i | 0.119373 | − | 0.676996i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.00000 | + | 10.3923i | 0.388108 | + | 0.672222i | 0.992195 | − | 0.124696i | \(-0.0397955\pi\) |
−0.604087 | + | 0.796918i | \(0.706462\pi\) | |||||||
\(240\) | 4.82288 | − | 8.35347i | 0.311315 | − | 0.539214i | ||||
\(241\) | 10.4052 | + | 8.73099i | 0.670257 | + | 0.562412i | 0.913141 | − | 0.407643i | \(-0.133649\pi\) |
−0.242885 | + | 0.970055i | \(0.578094\pi\) | |||||||
\(242\) | 9.94477 | + | 3.61960i | 0.639274 | + | 0.232677i | ||||
\(243\) | −19.8895 | + | 7.23920i | −1.27591 | + | 0.464395i | ||||
\(244\) | −11.4426 | + | 9.60148i | −0.732537 | + | 0.614672i | ||||
\(245\) | −2.71686 | − | 15.4081i | −0.173574 | − | 0.984385i | ||||
\(246\) | −27.2288 | −1.73604 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −0.354249 | −0.0224948 | ||||||||
\(249\) | 3.64661 | + | 20.6810i | 0.231095 | + | 1.31060i | ||||
\(250\) | 9.19253 | − | 7.71345i | 0.581387 | − | 0.487841i | ||||
\(251\) | −2.60412 | + | 0.947821i | −0.164370 | + | 0.0598259i | −0.422895 | − | 0.906179i | \(-0.638986\pi\) |
0.258524 | + | 0.966005i | \(0.416764\pi\) | |||||||
\(252\) | 6.18600 | + | 2.25152i | 0.389681 | + | 0.141832i | ||||
\(253\) | 1.80346 | + | 1.51328i | 0.113383 | + | 0.0951392i | ||||
\(254\) | 1.35425 | − | 2.34563i | 0.0849731 | − | 0.147178i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 0.296677 | − | 1.68254i | 0.0185062 | − | 0.104954i | −0.974155 | − | 0.225878i | \(-0.927475\pi\) |
0.992662 | + | 0.120924i | \(0.0385859\pi\) | |||||||
\(258\) | 0.937254 | + | 1.62337i | 0.0583509 | + | 0.101067i | ||||
\(259\) | 4.64575 | − | 8.04668i | 0.288673 | − | 0.499996i | ||||
\(260\) | 5.58562 | + | 4.68689i | 0.346405 | + | 0.290668i | ||||
\(261\) | 13.7035 | + | 4.98768i | 0.848228 | + | 0.308730i | ||||
\(262\) | 13.0967 | − | 4.76682i | 0.809119 | − | 0.294495i | ||||
\(263\) | 3.78216 | − | 3.17361i | 0.233218 | − | 0.195693i | −0.518688 | − | 0.854964i | \(-0.673579\pi\) |
0.751906 | + | 0.659271i | \(0.229135\pi\) | |||||||
\(264\) | −0.296677 | − | 1.68254i | −0.0182592 | − | 0.103553i | ||||
\(265\) | 31.2915 | 1.92222 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.806726 | − | 4.57517i | −0.0492786 | − | 0.279473i | ||||
\(269\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(270\) | 9.06404 | − | 3.29904i | 0.551620 | − | 0.200773i | ||||
\(271\) | −16.5816 | − | 6.03520i | −1.00726 | − | 0.366612i | −0.214880 | − | 0.976641i | \(-0.568936\pi\) |
−0.792380 | + | 0.610028i | \(0.791158\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.35425 | + | 7.54178i | −0.263531 | + | 0.456449i | ||||
\(274\) | 2.79150 | + | 4.83502i | 0.168641 | + | 0.292095i | ||||
\(275\) | 0.929756 | − | 5.27291i | 0.0560664 | − | 0.317968i | ||||
\(276\) | −1.67497 | + | 9.49921i | −0.100821 | + | 0.571785i | ||||
\(277\) | −4.76013 | − | 8.24479i | −0.286008 | − | 0.495381i | 0.686845 | − | 0.726804i | \(-0.258995\pi\) |
−0.972853 | + | 0.231423i | \(0.925662\pi\) | |||||||
\(278\) | −6.67712 | + | 11.5651i | −0.400467 | + | 0.693630i | ||||
\(279\) | −1.08548 | − | 0.910827i | −0.0649860 | − | 0.0545298i | ||||
\(280\) | 5.63816 | + | 2.05212i | 0.336944 | + | 0.122638i | ||||
\(281\) | 25.8016 | − | 9.39102i | 1.53920 | − | 0.560221i | 0.573344 | − | 0.819315i | \(-0.305646\pi\) |
0.965852 | + | 0.259094i | \(0.0834238\pi\) | |||||||
\(282\) | −19.5497 | + | 16.4041i | −1.16416 | + | 0.976850i | ||||
\(283\) | 4.40272 | + | 24.9691i | 0.261714 | + | 1.48426i | 0.778230 | + | 0.627979i | \(0.216118\pi\) |
−0.516516 | + | 0.856278i | \(0.672771\pi\) | |||||||
\(284\) | −13.2915 | −0.788706 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.29150 | 0.0763682 | ||||||||
\(287\) | −2.94112 | − | 16.6799i | −0.173609 | − | 0.984586i | ||||
\(288\) | 3.06418 | − | 2.57115i | 0.180558 | − | 0.151506i | ||||
\(289\) | 15.9748 | − | 5.81434i | 0.939693 | − | 0.342020i | ||||
\(290\) | 12.4899 | + | 4.54596i | 0.733434 | + | 0.266948i | ||||
\(291\) | 28.9655 | + | 24.3049i | 1.69799 | + | 1.42478i | ||||
\(292\) | −6.14575 | + | 10.6448i | −0.359653 | + | 0.622937i | ||||
\(293\) | −6.53137 | − | 11.3127i | −0.381567 | − | 0.660893i | 0.609720 | − | 0.792617i | \(-0.291282\pi\) |
−0.991286 | + | 0.131724i | \(0.957949\pi\) | |||||||
\(294\) | 1.97164 | − | 11.1818i | 0.114989 | − | 0.652133i | ||||
\(295\) | 5.02490 | − | 28.4976i | 0.292561 | − | 1.65920i | ||||
\(296\) | −2.82288 | − | 4.88936i | −0.164076 | − | 0.284189i | ||||
\(297\) | 0.854249 | − | 1.47960i | 0.0495685 | − | 0.0858552i | ||||
\(298\) | −3.78216 | − | 3.17361i | −0.219094 | − | 0.183842i | ||||
\(299\) | −6.85177 | − | 2.49384i | −0.396248 | − | 0.144223i | ||||
\(300\) | 20.6143 | − | 7.50298i | 1.19017 | − | 0.433185i | ||||
\(301\) | −0.893216 | + | 0.749497i | −0.0514841 | + | 0.0432003i | ||||
\(302\) | −0.510049 | − | 2.89263i | −0.0293500 | − | 0.166452i | ||||
\(303\) | 22.1033 | 1.26980 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −54.4575 | −3.11823 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.55885 | + | 2.98623i | −0.203114 | + | 0.170433i | −0.738671 | − | 0.674066i | \(-0.764546\pi\) |
0.535557 | + | 0.844499i | \(0.320102\pi\) | |||||||
\(308\) | 0.998655 | − | 0.363481i | 0.0569036 | − | 0.0207112i | ||||
\(309\) | −6.73385 | − | 2.45092i | −0.383075 | − | 0.139428i | ||||
\(310\) | −0.989348 | − | 0.830162i | −0.0561912 | − | 0.0471500i | ||||
\(311\) | −4.17712 | + | 7.23499i | −0.236863 | + | 0.410259i | −0.959812 | − | 0.280642i | \(-0.909453\pi\) |
0.722949 | + | 0.690901i | \(0.242786\pi\) | |||||||
\(312\) | 2.64575 | + | 4.58258i | 0.149786 | + | 0.259437i | ||||
\(313\) | −3.97212 | + | 22.5270i | −0.224517 | + | 1.27330i | 0.639088 | + | 0.769133i | \(0.279312\pi\) |
−0.863606 | + | 0.504168i | \(0.831799\pi\) | |||||||
\(314\) | 1.83772 | − | 10.4222i | 0.103709 | − | 0.588160i | ||||
\(315\) | 12.0000 | + | 20.7846i | 0.676123 | + | 1.17108i | ||||
\(316\) | 2.00000 | − | 3.46410i | 0.112509 | − | 0.194871i | ||||
\(317\) | −4.59627 | − | 3.85673i | −0.258152 | − | 0.216615i | 0.504521 | − | 0.863399i | \(-0.331669\pi\) |
−0.762673 | + | 0.646784i | \(0.776114\pi\) | |||||||
\(318\) | 21.3390 | + | 7.76676i | 1.19663 | + | 0.435538i | ||||
\(319\) | 2.21227 | − | 0.805200i | 0.123863 | − | 0.0450826i | ||||
\(320\) | 2.79281 | − | 2.34344i | 0.156123 | − | 0.131002i | ||||
\(321\) | −2.16322 | − | 12.2683i | −0.120739 | − | 0.684747i | ||||
\(322\) | −6.00000 | −0.334367 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −5.00000 | −0.277778 | ||||||||
\(325\) | 2.87961 | + | 16.3311i | 0.159732 | + | 0.905885i | ||||
\(326\) | −9.14447 | + | 7.67312i | −0.506465 | + | 0.424975i | ||||
\(327\) | −16.3666 | + | 5.95696i | −0.905076 | + | 0.329421i | ||||
\(328\) | −9.67085 | − | 3.51990i | −0.533983 | − | 0.194354i | ||||
\(329\) | −12.1606 | − | 10.2039i | −0.670434 | − | 0.562561i | ||||
\(330\) | 3.11438 | − | 5.39426i | 0.171441 | − | 0.296944i | ||||
\(331\) | 13.9059 | + | 24.0857i | 0.764336 | + | 1.32387i | 0.940597 | + | 0.339526i | \(0.110267\pi\) |
−0.176260 | + | 0.984344i | \(0.556400\pi\) | |||||||
\(332\) | −1.37829 | + | 7.81667i | −0.0756435 | + | 0.428995i | ||||
\(333\) | 3.92150 | − | 22.2399i | 0.214897 | − | 1.21874i | ||||
\(334\) | 6.00000 | + | 10.3923i | 0.328305 | + | 0.568642i | ||||
\(335\) | 8.46863 | − | 14.6681i | 0.462691 | − | 0.801403i | ||||
\(336\) | 3.33555 | + | 2.79886i | 0.181969 | + | 0.152690i | ||||
\(337\) | 19.0678 | + | 6.94010i | 1.03869 | + | 0.378051i | 0.804383 | − | 0.594112i | \(-0.202496\pi\) |
0.234305 | + | 0.972163i | \(0.424718\pi\) | |||||||
\(338\) | 8.45723 | − | 3.07818i | 0.460013 | − | 0.167431i | ||||
\(339\) | −11.3154 | + | 9.49477i | −0.614570 | + | 0.515685i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.228757 | −0.0123879 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5830 | 1.00339 | ||||||||
\(344\) | 0.123029 | + | 0.697734i | 0.00663329 | + | 0.0376193i | ||||
\(345\) | −26.9387 | + | 22.6043i | −1.45033 | + | 1.21697i | ||||
\(346\) | 5.63816 | − | 2.05212i | 0.303109 | − | 0.110323i | ||||
\(347\) | −3.03404 | − | 1.10430i | −0.162876 | − | 0.0592819i | 0.259295 | − | 0.965798i | \(-0.416510\pi\) |
−0.422171 | + | 0.906516i | \(0.638732\pi\) | |||||||
\(348\) | 7.38907 | + | 6.20017i | 0.396096 | + | 0.332364i | ||||
\(349\) | 10.5830 | − | 18.3303i | 0.566495 | − | 0.981199i | −0.430414 | − | 0.902632i | \(-0.641632\pi\) |
0.996909 | − | 0.0785668i | \(-0.0250344\pi\) | |||||||
\(350\) | 6.82288 | + | 11.8176i | 0.364698 | + | 0.631676i | ||||
\(351\) | −0.918860 | + | 5.21111i | −0.0490451 | + | 0.278149i | ||||
\(352\) | 0.112134 | − | 0.635941i | 0.00597674 | − | 0.0338958i | ||||
\(353\) | 9.43725 | + | 16.3458i | 0.502294 | + | 0.869999i | 0.999996 | + | 0.00265131i | \(0.000843939\pi\) |
−0.497702 | + | 0.867348i | \(0.665823\pi\) | |||||||
\(354\) | 10.5000 | − | 18.1865i | 0.558069 | − | 0.966603i | ||||
\(355\) | −37.1206 | − | 31.1479i | −1.97016 | − | 1.65316i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 15.2728 | − | 12.8154i | 0.807194 | − | 0.677316i | ||||
\(359\) | 1.89923 | + | 10.7711i | 0.100238 | + | 0.568477i | 0.993016 | + | 0.117980i | \(0.0376419\pi\) |
−0.892778 | + | 0.450496i | \(0.851247\pi\) | |||||||
\(360\) | 14.5830 | 0.768592 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −4.22876 | −0.222259 | ||||||||
\(363\) | 4.86215 | + | 27.5746i | 0.255197 | + | 1.44729i | ||||
\(364\) | −2.52144 | + | 2.11574i | −0.132159 | + | 0.110895i | ||||
\(365\) | −42.1093 | + | 15.3265i | −2.20410 | + | 0.802227i | ||||
\(366\) | −37.1369 | − | 13.5167i | −1.94118 | − | 0.706531i | ||||
\(367\) | −7.83568 | − | 6.57492i | −0.409019 | − | 0.343208i | 0.414948 | − | 0.909845i | \(-0.363800\pi\) |
−0.823967 | + | 0.566637i | \(0.808244\pi\) | |||||||
\(368\) | −1.82288 | + | 3.15731i | −0.0950240 | + | 0.164586i | ||||
\(369\) | −20.5830 | − | 35.6508i | −1.07151 | − | 1.85591i | ||||
\(370\) | 3.57420 | − | 20.2703i | 0.185814 | − | 1.05380i | ||||
\(371\) | −2.45287 | + | 13.9109i | −0.127346 | + | 0.722218i | ||||
\(372\) | −0.468627 | − | 0.811686i | −0.0242972 | − | 0.0420839i | ||||
\(373\) | 2.00000 | − | 3.46410i | 0.103556 | − | 0.179364i | −0.809591 | − | 0.586994i | \(-0.800311\pi\) |
0.913147 | + | 0.407630i | \(0.133645\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 29.8343 | + | 10.8588i | 1.54064 | + | 0.560746i | ||||
\(376\) | −9.06404 | + | 3.29904i | −0.467442 | + | 0.170135i | ||||
\(377\) | −5.58562 | + | 4.68689i | −0.287674 | + | 0.241387i | ||||
\(378\) | 0.756107 | + | 4.28810i | 0.0388900 | + | 0.220556i | ||||
\(379\) | 21.2915 | 1.09367 | 0.546836 | − | 0.837240i | \(-0.315832\pi\) | ||||
0.546836 | + | 0.837240i | \(0.315832\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 7.16601 | 0.367126 | ||||||||
\(382\) | −2.53231 | − | 14.3615i | −0.129564 | − | 0.734796i | ||||
\(383\) | −24.1459 | + | 20.2608i | −1.23380 | + | 1.03528i | −0.235816 | + | 0.971798i | \(0.575776\pi\) |
−0.997983 | + | 0.0634824i | \(0.979779\pi\) | |||||||
\(384\) | 2.48619 | − | 0.904900i | 0.126873 | − | 0.0461780i | ||||
\(385\) | 3.64085 | + | 1.32516i | 0.185555 | + | 0.0675364i | ||||
\(386\) | −5.04287 | − | 4.23147i | −0.256676 | − | 0.215376i | ||||
\(387\) | −1.41699 | + | 2.45431i | −0.0720299 | + | 0.124759i | ||||
\(388\) | 7.14575 | + | 12.3768i | 0.362771 | + | 0.628337i | ||||
\(389\) | 2.08378 | − | 11.8177i | 0.105652 | − | 0.599181i | −0.885306 | − | 0.465008i | \(-0.846051\pi\) |
0.990958 | − | 0.134172i | \(-0.0428376\pi\) | |||||||
\(390\) | −3.34993 | + | 18.9984i | −0.169631 | + | 0.962022i | ||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 2.14575 | − | 3.71655i | 0.108377 | − | 0.187714i | ||||
\(393\) | 28.2475 | + | 23.7025i | 1.42490 | + | 1.19563i | ||||
\(394\) | 2.21227 | + | 0.805200i | 0.111453 | + | 0.0405654i | ||||
\(395\) | 13.7035 | − | 4.98768i | 0.689500 | − | 0.250957i | ||||
\(396\) | 1.97870 | − | 1.66032i | 0.0994333 | − | 0.0834344i | ||||
\(397\) | 6.41409 | + | 36.3761i | 0.321914 | + | 1.82566i | 0.530530 | + | 0.847666i | \(0.321993\pi\) |
−0.208616 | + | 0.977998i | \(0.566896\pi\) | |||||||
\(398\) | 11.8745 | 0.595215 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.29150 | 0.414575 | ||||||||
\(401\) | 1.11430 | + | 6.31951i | 0.0556455 | + | 0.315581i | 0.999907 | − | 0.0136142i | \(-0.00433367\pi\) |
−0.944262 | + | 0.329195i | \(0.893223\pi\) | |||||||
\(402\) | 9.41584 | − | 7.90083i | 0.469619 | − | 0.394057i | ||||
\(403\) | 0.665770 | − | 0.242320i | 0.0331644 | − | 0.0120708i | ||||
\(404\) | 7.85043 | + | 2.85732i | 0.390573 | + | 0.142157i | ||||
\(405\) | −13.9640 | − | 11.7172i | −0.693879 | − | 0.582233i | ||||
\(406\) | −3.00000 | + | 5.19615i | −0.148888 | + | 0.257881i | ||||
\(407\) | −1.82288 | − | 3.15731i | −0.0903566 | − | 0.156502i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.35866 | − | 13.3766i | 0.116628 | − | 0.661433i | −0.869303 | − | 0.494280i | \(-0.835432\pi\) |
0.985931 | − | 0.167152i | \(-0.0534572\pi\) | |||||||
\(410\) | −18.7601 | − | 32.4935i | −0.926497 | − | 1.60474i | ||||
\(411\) | −7.38562 | + | 12.7923i | −0.364306 | + | 0.630996i | ||||
\(412\) | −2.07483 | − | 1.74099i | −0.102220 | − | 0.0857723i | ||||
\(413\) | 12.2750 | + | 4.46772i | 0.604012 | + | 0.219842i | ||||
\(414\) | −13.7035 | + | 4.98768i | −0.673492 | + | 0.245131i | ||||
\(415\) | −22.1672 | + | 18.6005i | −1.08815 | + | 0.913063i | ||||
\(416\) | 0.347296 | + | 1.96962i | 0.0170276 | + | 0.0965683i | ||||
\(417\) | −35.3320 | −1.73022 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 31.7490 | 1.55104 | 0.775520 | − | 0.631322i | \(-0.217488\pi\) | ||||
0.775520 | + | 0.631322i | \(0.217488\pi\) | |||||||
\(420\) | 2.75658 | + | 15.6333i | 0.134507 | + | 0.762829i | ||||
\(421\) | 17.4748 | − | 14.6631i | 0.851671 | − | 0.714637i | −0.108486 | − | 0.994098i | \(-0.534600\pi\) |
0.960157 | + | 0.279461i | \(0.0901559\pi\) | |||||||
\(422\) | 2.54515 | − | 0.926361i | 0.123896 | − | 0.0450945i | ||||
\(423\) | −36.2562 | − | 13.1962i | −1.76284 | − | 0.641619i | ||||
\(424\) | 6.57496 | + | 5.51705i | 0.319308 | + | 0.267932i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −17.5830 | − | 30.4547i | −0.851899 | − | 1.47553i | ||||
\(427\) | 4.26879 | − | 24.2095i | 0.206581 | − | 1.17158i | ||||
\(428\) | 0.817622 | − | 4.63696i | 0.0395213 | − | 0.224136i | ||||
\(429\) | 1.70850 | + | 2.95920i | 0.0824870 | + | 0.142872i | ||||
\(430\) | −1.29150 | + | 2.23695i | −0.0622818 | + | 0.107875i | ||||
\(431\) | −2.96805 | − | 2.49049i | −0.142966 | − | 0.119962i | 0.568500 | − | 0.822683i | \(-0.307524\pi\) |
−0.711466 | + | 0.702721i | \(0.751968\pi\) | |||||||
\(432\) | 2.48619 | + | 0.904900i | 0.119617 | + | 0.0435370i | ||||
\(433\) | 13.0378 | − | 4.74536i | 0.626555 | − | 0.228048i | −0.00917597 | − | 0.999958i | \(-0.502921\pi\) |
0.635731 | + | 0.771910i | \(0.280699\pi\) | |||||||
\(434\) | 0.446608 | − | 0.374749i | 0.0214379 | − | 0.0179885i | ||||
\(435\) | 6.10651 | + | 34.6318i | 0.292785 | + | 1.66047i | ||||
\(436\) | −6.58301 | −0.315269 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −32.5203 | −1.55388 | ||||||||
\(439\) | −6.39230 | − | 36.2525i | −0.305088 | − | 1.73024i | −0.623092 | − | 0.782149i | \(-0.714124\pi\) |
0.318004 | − | 0.948089i | \(-0.396987\pi\) | |||||||
\(440\) | 1.80346 | − | 1.51328i | 0.0859765 | − | 0.0721429i | ||||
\(441\) | 16.1308 | − | 5.87112i | 0.768132 | − | 0.279577i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.10159 | + | 3.44164i | 0.194873 | + | 0.163517i | 0.735003 | − | 0.678064i | \(-0.237181\pi\) |
−0.540131 | + | 0.841581i | \(0.681625\pi\) | |||||||
\(444\) | 7.46863 | − | 12.9360i | 0.354445 | − | 0.613917i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 5.00311 | − | 28.3740i | 0.236904 | − | 1.34355i | ||||
\(447\) | 2.26832 | − | 12.8643i | 0.107288 | − | 0.608460i | ||||
\(448\) | 0.822876 | + | 1.42526i | 0.0388772 | + | 0.0673373i | ||||
\(449\) | 6.85425 | − | 11.8719i | 0.323472 | − | 0.560270i | −0.657730 | − | 0.753254i | \(-0.728483\pi\) |
0.981202 | + | 0.192984i | \(0.0618165\pi\) | |||||||
\(450\) | 25.4066 | + | 21.3187i | 1.19768 | + | 1.00497i | ||||
\(451\) | −6.24496 | − | 2.27298i | −0.294064 | − | 0.107030i | ||||
\(452\) | −5.24631 | + | 1.90950i | −0.246766 | + | 0.0898153i | ||||
\(453\) | 5.95312 | − | 4.99526i | 0.279702 | − | 0.234698i | ||||
\(454\) | −2.19591 | − | 12.4536i | −0.103059 | − | 0.584478i | ||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.12549 | 0.0526483 | 0.0263242 | − | 0.999653i | \(-0.491620\pi\) | ||||
0.0263242 | + | 0.999653i | \(0.491620\pi\) | |||||||
\(458\) | 3.47296 | + | 19.6962i | 0.162281 | + | 0.920341i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −12.4899 | + | 4.54596i | −0.582346 | + | 0.211957i | ||||
\(461\) | 21.7689 | + | 7.92324i | 1.01388 | + | 0.369022i | 0.794922 | − | 0.606712i | \(-0.207512\pi\) |
0.218958 | + | 0.975734i | \(0.429734\pi\) | |||||||
\(462\) | 2.15393 | + | 1.80737i | 0.100210 | + | 0.0840863i | ||||
\(463\) | −7.22876 | + | 12.5206i | −0.335949 | + | 0.581880i | −0.983667 | − | 0.180000i | \(-0.942390\pi\) |
0.647718 | + | 0.761880i | \(0.275724\pi\) | |||||||
\(464\) | 1.82288 | + | 3.15731i | 0.0846249 | + | 0.146575i | ||||
\(465\) | 0.593355 | − | 3.36508i | 0.0275162 | − | 0.156052i | ||||
\(466\) | −2.23563 | + | 12.6789i | −0.103564 | + | 0.587339i | ||||
\(467\) | 12.3229 | + | 21.3438i | 0.570235 | + | 0.987675i | 0.996541 | + | 0.0830968i | \(0.0264811\pi\) |
−0.426307 | + | 0.904579i | \(0.640186\pi\) | |||||||
\(468\) | −4.00000 | + | 6.92820i | −0.184900 | + | 0.320256i | ||||
\(469\) | 5.85699 | + | 4.91459i | 0.270450 | + | 0.226935i | ||||
\(470\) | −33.0452 | − | 12.0275i | −1.52426 | − | 0.554786i | ||||
\(471\) | 26.3114 | − | 9.57656i | 1.21237 | − | 0.441265i | ||||
\(472\) | 6.08029 | − | 5.10197i | 0.279868 | − | 0.234837i | ||||
\(473\) | 0.0794463 | + | 0.450562i | 0.00365295 | + | 0.0207169i | ||||
\(474\) | 10.5830 | 0.486094 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.96169 | + | 33.8104i | 0.272967 | + | 1.54807i | ||||
\(478\) | −9.19253 | + | 7.71345i | −0.420457 | + | 0.352805i | ||||
\(479\) | 13.7035 | − | 4.98768i | 0.626131 | − | 0.227893i | −0.00941555 | − | 0.999956i | \(-0.502997\pi\) |
0.635546 | + | 0.772063i | \(0.280775\pi\) | |||||||
\(480\) | 9.06404 | + | 3.29904i | 0.413715 | + | 0.150580i | ||||
\(481\) | 8.64979 | + | 7.25804i | 0.394397 | + | 0.330938i | ||||
\(482\) | −6.79150 | + | 11.7632i | −0.309344 | + | 0.535800i | ||||
\(483\) | −7.93725 | − | 13.7477i | −0.361158 | − | 0.625543i | ||||
\(484\) | −1.83772 | + | 10.4222i | −0.0835327 | + | 0.473738i | ||||
\(485\) | −9.04764 | + | 51.3117i | −0.410832 | + | 2.32994i | ||||
\(486\) | −10.5830 | − | 18.3303i | −0.480055 | − | 0.831479i | ||||
\(487\) | 11.1144 | − | 19.2507i | 0.503641 | − | 0.872331i | −0.496351 | − | 0.868122i | \(-0.665327\pi\) |
0.999991 | − | 0.00420886i | \(-0.00133973\pi\) | |||||||
\(488\) | −11.4426 | − | 9.60148i | −0.517982 | − | 0.434639i | ||||
\(489\) | −29.6783 | − | 10.8020i | −1.34210 | − | 0.488484i | ||||
\(490\) | 14.7022 | − | 5.35116i | 0.664178 | − | 0.241741i | ||||
\(491\) | 21.9920 | − | 18.4535i | 0.992484 | − | 0.832793i | 0.00655888 | − | 0.999978i | \(-0.497912\pi\) |
0.985926 | + | 0.167185i | \(0.0534678\pi\) | |||||||
\(492\) | −4.72822 | − | 26.8151i | −0.213165 | − | 1.20892i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.41699 | 0.423262 | ||||||||
\(496\) | −0.0615146 | − | 0.348867i | −0.00276209 | − | 0.0156646i | ||||
\(497\) | 16.7568 | − | 14.0607i | 0.751647 | − | 0.630707i | ||||
\(498\) | −19.7335 | + | 7.18242i | −0.884281 | + | 0.321852i | ||||
\(499\) | 29.3454 | + | 10.6809i | 1.31368 | + | 0.478141i | 0.901428 | − | 0.432928i | \(-0.142520\pi\) |
0.412253 | + | 0.911069i | \(0.364742\pi\) | |||||||
\(500\) | 9.19253 | + | 7.71345i | 0.411103 | + | 0.344956i | ||||
\(501\) | −15.8745 | + | 27.4955i | −0.709221 | + | 1.22841i | ||||
\(502\) | −1.38562 | − | 2.39997i | −0.0618433 | − | 0.107116i | ||||
\(503\) | −4.35210 | + | 24.6820i | −0.194051 | + | 1.10052i | 0.719714 | + | 0.694271i | \(0.244273\pi\) |
−0.913764 | + | 0.406245i | \(0.866838\pi\) | |||||||
\(504\) | −1.14313 | + | 6.48299i | −0.0509189 | + | 0.288776i | ||||
\(505\) | 15.2288 | + | 26.3770i | 0.677671 | + | 1.17376i | ||||
\(506\) | −1.17712 | + | 2.03884i | −0.0523296 | + | 0.0906375i | ||||
\(507\) | 18.2409 | + | 15.3059i | 0.810105 | + | 0.679759i | ||||
\(508\) | 2.54515 | + | 0.926361i | 0.112923 | + | 0.0411006i | ||||
\(509\) | −29.8343 | + | 10.8588i | −1.32238 | + | 0.481308i | −0.904221 | − | 0.427065i | \(-0.859548\pi\) |
−0.418162 | + | 0.908373i | \(0.637325\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.51269 | − | 19.9214i | −0.155392 | − | 0.881272i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.70850 | 0.0753586 | ||||||||
\(515\) | −1.71469 | − | 9.72449i | −0.0755583 | − | 0.428512i | ||||
\(516\) | −1.43596 | + | 1.20491i | −0.0632145 | + | 0.0530432i | ||||
\(517\) | −5.85312 | + | 2.13036i | −0.257420 | + | 0.0936931i | ||||
\(518\) | 8.73116 | + | 3.17788i | 0.383625 | + | 0.139628i | ||||
\(519\) | 12.1606 | + | 10.2039i | 0.533790 | + | 0.447903i | ||||
\(520\) | −3.64575 | + | 6.31463i | −0.159877 | + | 0.276915i | ||||
\(521\) | 11.1458 | + | 19.3050i | 0.488304 | + | 0.845768i | 0.999910 | − | 0.0134529i | \(-0.00428231\pi\) |
−0.511605 | + | 0.859221i | \(0.670949\pi\) | |||||||
\(522\) | −2.53231 | + | 14.3615i | −0.110836 | + | 0.628584i | ||||
\(523\) | 5.18765 | − | 29.4206i | 0.226840 | − | 1.28648i | −0.632295 | − | 0.774727i | \(-0.717887\pi\) |
0.859136 | − | 0.511748i | \(-0.171002\pi\) | |||||||
\(524\) | 6.96863 | + | 12.0700i | 0.304426 | + | 0.527281i | ||||
\(525\) | −18.0516 | + | 31.2663i | −0.787838 | + | 1.36458i | ||||
\(526\) | 3.78216 | + | 3.17361i | 0.164910 | + | 0.138376i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 1.60546 | − | 0.584341i | 0.0698688 | − | 0.0254302i | ||||
\(529\) | −7.43714 | + | 6.24050i | −0.323354 | + | 0.271326i | ||||
\(530\) | 5.43371 | + | 30.8161i | 0.236025 | + | 1.33857i | ||||
\(531\) | 31.7490 | 1.37779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 20.5830 | 0.891549 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.1499 | − | 11.0341i | 0.568521 | − | 0.477046i | ||||
\(536\) | 4.36558 | − | 1.58894i | 0.188564 | − | 0.0686318i | ||||
\(537\) | 49.5679 | + | 18.0412i | 2.13901 | + | 0.778536i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.38562 | − | 2.39997i | 0.0596830 | − | 0.103374i | ||||
\(540\) | 4.82288 | + | 8.35347i | 0.207544 | + | 0.359476i | ||||
\(541\) | 1.38919 | − | 7.87846i | 0.0597257 | − | 0.338722i | −0.940273 | − | 0.340422i | \(-0.889430\pi\) |
0.999999 | + | 0.00170033i | \(0.000541231\pi\) | |||||||
\(542\) | 3.06415 | − | 17.3777i | 0.131617 | − | 0.746435i | ||||
\(543\) | −5.59412 | − | 9.68930i | −0.240067 | − | 0.415808i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −18.3851 | − | 15.4269i | −0.787530 | − | 0.660816i | ||||
\(546\) | −8.18331 | − | 2.97848i | −0.350213 | − | 0.127467i | ||||
\(547\) | −0.665770 | + | 0.242320i | −0.0284663 | + | 0.0103609i | −0.356214 | − | 0.934404i | \(-0.615933\pi\) |
0.327748 | + | 0.944765i | \(0.393710\pi\) | |||||||
\(548\) | −4.27683 | + | 3.58869i | −0.182697 | + | 0.153301i | ||||
\(549\) | −10.3753 | − | 58.8413i | −0.442807 | − | 2.51129i | ||||
\(550\) | 5.35425 | 0.228306 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −9.64575 | −0.410550 | ||||||||
\(553\) | 1.14313 | + | 6.48299i | 0.0486107 | + | 0.275685i | ||||
\(554\) | 7.29294 | − | 6.11950i | 0.309847 | − | 0.259993i | ||||
\(555\) | 51.1733 | − | 18.6256i | 2.17219 | − | 0.790611i | ||||
\(556\) | −12.5489 | − | 4.56742i | −0.532191 | − | 0.193702i | ||||
\(557\) | −20.3638 | − | 17.0872i | −0.862840 | − | 0.724009i | 0.0997377 | − | 0.995014i | \(-0.468200\pi\) |
−0.962578 | + | 0.271005i | \(0.912644\pi\) | |||||||
\(558\) | 0.708497 | − | 1.22715i | 0.0299931 | − | 0.0519495i | ||||
\(559\) | −0.708497 | − | 1.22715i | −0.0299662 | − | 0.0519031i | ||||
\(560\) | −1.04189 | + | 5.90885i | −0.0440278 | + | 0.249694i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 13.7288 | + | 23.7789i | 0.579113 | + | 1.00305i | ||||
\(563\) | −12.9686 | + | 22.4623i | −0.546562 | + | 0.946674i | 0.451944 | + | 0.892046i | \(0.350731\pi\) |
−0.998507 | + | 0.0546278i | \(0.982603\pi\) | |||||||
\(564\) | −19.5497 | − | 16.4041i | −0.823189 | − | 0.690737i | ||||
\(565\) | −19.1267 | − | 6.96156i | −0.804668 | − | 0.292875i | ||||
\(566\) | −23.8252 | + | 8.67166i | −1.00145 | + | 0.364497i | ||||
\(567\) | 6.30359 | − | 5.28934i | 0.264726 | − | 0.222132i | ||||
\(568\) | −2.30805 | − | 13.0896i | −0.0968434 | − | 0.549226i | ||||
\(569\) | −14.5830 | −0.611351 | −0.305676 | − | 0.952136i | \(-0.598882\pi\) | ||||
−0.305676 | + | 0.952136i | \(0.598882\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −39.8118 | −1.66607 | −0.833035 | − | 0.553220i | \(-0.813399\pi\) | ||||
−0.833035 | + | 0.553220i | \(0.813399\pi\) | |||||||
\(572\) | 0.224267 | + | 1.27188i | 0.00937708 | + | 0.0531800i | ||||
\(573\) | 29.5563 | − | 24.8007i | 1.23473 | − | 1.03606i | ||||
\(574\) | 15.9158 | − | 5.79288i | 0.664313 | − | 0.241790i | ||||
\(575\) | −28.4057 | − | 10.3388i | −1.18460 | − | 0.431160i | ||||
\(576\) | 3.06418 | + | 2.57115i | 0.127674 | + | 0.107131i | ||||
\(577\) | −5.50000 | + | 9.52628i | −0.228968 | + | 0.396584i | −0.957503 | − | 0.288425i | \(-0.906868\pi\) |
0.728535 | + | 0.685009i | \(0.240202\pi\) | |||||||
\(578\) | 8.50000 | + | 14.7224i | 0.353553 | + | 0.612372i | ||||
\(579\) | 3.02443 | − | 17.1524i | 0.125691 | − | 0.712829i | ||||
\(580\) | −2.30805 | + | 13.0896i | −0.0958364 | + | 0.543515i | ||||
\(581\) | −6.53137 | − | 11.3127i | −0.270967 | − | 0.469329i | ||||
\(582\) | −18.9059 | + | 32.7459i | −0.783674 | + | 1.35736i | ||||
\(583\) | 4.24579 | + | 3.56264i | 0.175843 | + | 0.147550i | ||||
\(584\) | −11.5502 | − | 4.20394i | −0.477952 | − | 0.173960i | ||||
\(585\) | −27.4071 | + | 9.97536i | −1.13314 | + | 0.412431i | ||||
\(586\) | 10.0066 | − | 8.39657i | 0.413371 | − | 0.346859i | ||||
\(587\) | −7.96602 | − | 45.1776i | −0.328793 | − | 1.86468i | −0.481556 | − | 0.876415i | \(-0.659928\pi\) |
0.152763 | − | 0.988263i | \(-0.451183\pi\) | |||||||
\(588\) | 11.3542 | 0.468241 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 28.9373 | 1.19133 | ||||||||
\(591\) | 1.08161 | + | 6.13413i | 0.0444916 | + | 0.252324i | ||||
\(592\) | 4.32490 | − | 3.62902i | 0.177752 | − | 0.149152i | ||||
\(593\) | −37.8616 | + | 13.7805i | −1.55479 | + | 0.565898i | −0.969535 | − | 0.244951i | \(-0.921228\pi\) |
−0.585255 | + | 0.810849i | \(0.699006\pi\) | |||||||
\(594\) | 1.60546 | + | 0.584341i | 0.0658729 | + | 0.0239758i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.46863 | − | 4.27579i | 0.101119 | − | 0.175143i | ||||
\(597\) | 15.7085 | + | 27.2079i | 0.642906 | + | 1.11355i | ||||
\(598\) | 1.26616 | − | 7.18073i | 0.0517770 | − | 0.293642i | ||||
\(599\) | −0.184544 | + | 1.04660i | −0.00754026 | + | 0.0427629i | −0.988346 | − | 0.152226i | \(-0.951356\pi\) |
0.980805 | + | 0.194989i | \(0.0624670\pi\) | |||||||
\(600\) | 10.9686 | + | 18.9982i | 0.447792 | + | 0.775599i | ||||
\(601\) | −15.7915 | + | 27.3517i | −0.644149 | + | 1.11570i | 0.340349 | + | 0.940299i | \(0.389455\pi\) |
−0.984497 | + | 0.175399i | \(0.943878\pi\) | |||||||
\(602\) | −0.893216 | − | 0.749497i | −0.0364048 | − | 0.0305472i | ||||
\(603\) | 17.4623 | + | 6.35576i | 0.711120 | + | 0.258827i | ||||
\(604\) | 2.76012 | − | 1.00460i | 0.112308 | − | 0.0408766i | ||||
\(605\) | −29.5563 | + | 24.8007i | −1.20163 | + | 1.00829i | ||||
\(606\) | 3.83819 | + | 21.7675i | 0.155916 | + | 0.884243i | ||||
\(607\) | −8.93725 | −0.362752 | −0.181376 | − | 0.983414i | \(-0.558055\pi\) | ||||
−0.181376 | + | 0.983414i | \(0.558055\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −15.8745 | −0.643268 | ||||||||
\(610\) | −9.45645 | − | 53.6302i | −0.382880 | − | 2.17142i | ||||
\(611\) | 14.7781 | − | 12.4003i | 0.597860 | − | 0.501664i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −26.8592 | − | 9.77596i | −1.08483 | − | 0.394847i | −0.263129 | − | 0.964761i | \(-0.584755\pi\) |
−0.821705 | + | 0.569913i | \(0.806977\pi\) | |||||||
\(614\) | −3.55885 | − | 2.98623i | −0.143624 | − | 0.120514i | ||||
\(615\) | 49.6346 | − | 85.9697i | 2.00146 | − | 3.46663i | ||||
\(616\) | 0.531373 | + | 0.920365i | 0.0214096 | + | 0.0370826i | ||||
\(617\) | 0.151857 | − | 0.861222i | 0.00611352 | − | 0.0346715i | −0.981598 | − | 0.190957i | \(-0.938841\pi\) |
0.987712 | + | 0.156286i | \(0.0499520\pi\) | |||||||
\(618\) | 1.24436 | − | 7.05714i | 0.0500557 | − | 0.283880i | ||||
\(619\) | −22.2288 | − | 38.5013i | −0.893449 | − | 1.54750i | −0.835712 | − | 0.549168i | \(-0.814945\pi\) |
−0.0577369 | − | 0.998332i | \(-0.518388\pi\) | |||||||
\(620\) | 0.645751 | − | 1.11847i | 0.0259340 | − | 0.0449190i | ||||
\(621\) | −7.38907 | − | 6.20017i | −0.296513 | − | 0.248804i | ||||
\(622\) | −7.85043 | − | 2.85732i | −0.314773 | − | 0.114568i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.05353 | + | 3.40131i | −0.162271 | + | 0.136161i | ||||
\(625\) | 0.397915 | + | 2.25669i | 0.0159166 | + | 0.0902676i | ||||
\(626\) | −22.8745 | −0.914249 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 10.5830 | 0.422308 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −18.3851 | + | 15.4269i | −0.732479 | + | 0.614623i | ||||
\(631\) | −21.4360 | + | 7.80208i | −0.853355 | + | 0.310596i | −0.731408 | − | 0.681941i | \(-0.761136\pi\) |
−0.121948 | + | 0.992537i | \(0.538914\pi\) | |||||||
\(632\) | 3.75877 | + | 1.36808i | 0.149516 | + | 0.0544193i | ||||
\(633\) | 5.48948 | + | 4.60622i | 0.218187 | + | 0.183081i | ||||
\(634\) | 3.00000 | − | 5.19615i | 0.119145 | − | 0.206366i | ||||
\(635\) | 4.93725 | + | 8.55157i | 0.195929 | + | 0.339359i | ||||
\(636\) | −3.94329 | + | 22.3635i | −0.156362 | + | 0.886771i | ||||
\(637\) | −1.49042 | + | 8.45261i | −0.0590527 | + | 0.334905i | ||||
\(638\) | 1.17712 | + | 2.03884i | 0.0466028 | + | 0.0807184i | ||||
\(639\) | 26.5830 | − | 46.0431i | 1.05161 | − | 1.82144i | ||||
\(640\) | 2.79281 | + | 2.34344i | 0.110395 | + | 0.0926327i | ||||
\(641\) | 17.7362 | + | 6.45546i | 0.700539 | + | 0.254975i | 0.667641 | − | 0.744483i | \(-0.267304\pi\) |
0.0328981 | + | 0.999459i | \(0.489526\pi\) | |||||||
\(642\) | 11.7062 | − | 4.26072i | 0.462008 | − | 0.168157i | ||||
\(643\) | 23.3799 | − | 19.6180i | 0.922012 | − | 0.773660i | −0.0523538 | − | 0.998629i | \(-0.516672\pi\) |
0.974366 | + | 0.224968i | \(0.0722279\pi\) | |||||||
\(644\) | −1.04189 | − | 5.90885i | −0.0410562 | − | 0.232841i | ||||
\(645\) | −6.83399 | −0.269088 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 30.4575 | 1.19741 | 0.598704 | − | 0.800970i | \(-0.295683\pi\) | ||||
0.598704 | + | 0.800970i | \(0.295683\pi\) | |||||||
\(648\) | −0.868241 | − | 4.92404i | −0.0341077 | − | 0.193435i | ||||
\(649\) | 3.92635 | − | 3.29460i | 0.154123 | − | 0.129324i | ||||
\(650\) | −15.5829 | + | 5.67172i | −0.611213 | + | 0.222463i | ||||
\(651\) | 1.44946 | + | 0.527562i | 0.0568090 | + | 0.0206768i | ||||
\(652\) | −9.14447 | − | 7.67312i | −0.358125 | − | 0.300503i | ||||
\(653\) | −12.0000 | + | 20.7846i | −0.469596 | + | 0.813365i | −0.999396 | − | 0.0347583i | \(-0.988934\pi\) |
0.529799 | + | 0.848123i | \(0.322267\pi\) | |||||||
\(654\) | −8.70850 | − | 15.0836i | −0.340529 | − | 0.589814i | ||||
\(655\) | −8.82337 | + | 50.0398i | −0.344758 | + | 1.95522i | ||||
\(656\) | 1.78710 | − | 10.1352i | 0.0697746 | − | 0.395711i | ||||
\(657\) | −24.5830 | − | 42.5790i | −0.959074 | − | 1.66117i | ||||
\(658\) | 7.93725 | − | 13.7477i | 0.309426 | − | 0.535942i | ||||
\(659\) | 1.97870 | + | 1.66032i | 0.0770791 | + | 0.0646770i | 0.680513 | − | 0.732736i | \(-0.261757\pi\) |
−0.603434 | + | 0.797413i | \(0.706201\pi\) | |||||||
\(660\) | 5.85312 | + | 2.13036i | 0.227832 | + | 0.0829242i | ||||
\(661\) | 9.61189 | − | 3.49844i | 0.373859 | − | 0.136074i | −0.148255 | − | 0.988949i | \(-0.547366\pi\) |
0.522114 | + | 0.852876i | \(0.325143\pi\) | |||||||
\(662\) | −21.3050 | + | 17.8771i | −0.828044 | + | 0.694812i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.93725 | −0.308025 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 22.5830 | 0.875074 | ||||||||
\(667\) | −2.30805 | − | 13.0896i | −0.0893679 | − | 0.506830i | ||||
\(668\) | −9.19253 | + | 7.71345i | −0.355670 | + | 0.298442i | ||||
\(669\) | 71.6316 | − | 26.0718i | 2.76944 | − | 1.00799i | ||||
\(670\) | 15.9158 | + | 5.79288i | 0.614881 | + | 0.223799i | ||||
\(671\) | −7.38907 | − | 6.20017i | −0.285252 | − | 0.239355i | ||||
\(672\) | −2.17712 | + | 3.77089i | −0.0839844 | + | 0.145465i | ||||
\(673\) | −8.93725 | − | 15.4798i | −0.344506 | − | 0.596702i | 0.640758 | − | 0.767743i | \(-0.278620\pi\) |
−0.985264 | + | 0.171041i | \(0.945287\pi\) | |||||||
\(674\) | −3.52358 | + | 19.9832i | −0.135723 | + | 0.769725i | ||||
\(675\) | −3.80936 | + | 21.6040i | −0.146622 | + | 0.831537i | ||||
\(676\) | 4.50000 | + | 7.79423i | 0.173077 | + | 0.299778i | ||||
\(677\) | 16.2915 | − | 28.2177i | 0.626133 | − | 1.08449i | −0.362187 | − | 0.932105i | \(-0.617970\pi\) |
0.988321 | − | 0.152389i | \(-0.0486968\pi\) | |||||||
\(678\) | −11.3154 | − | 9.49477i | −0.434566 | − | 0.364645i | ||||
\(679\) | −22.1018 | − | 8.04440i | −0.848190 | − | 0.308716i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 25.6299 | − | 21.5061i | 0.982142 | − | 0.824115i | ||||
\(682\) | −0.0397232 | − | 0.225281i | −0.00152108 | − | 0.00862646i | ||||
\(683\) | −26.5830 | −1.01717 | −0.508585 | − | 0.861012i | \(-0.669831\pi\) | ||||
−0.508585 | + | 0.861012i | \(0.669831\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.3542 | −0.777696 | ||||||||
\(686\) | 3.22690 | + | 18.3007i | 0.123204 | + | 0.698724i | ||||
\(687\) | −40.5353 | + | 34.0131i | −1.54652 | + | 1.29768i | ||||
\(688\) | −0.665770 | + | 0.242320i | −0.0253822 | + | 0.00923838i | ||||
\(689\) | −16.1308 | − | 5.87112i | −0.614534 | − | 0.223672i | ||||
\(690\) | −26.9387 | − | 22.6043i | −1.02554 | − | 0.860530i | ||||
\(691\) | 9.29150 | − | 16.0934i | 0.353465 | − | 0.612220i | −0.633389 | − | 0.773834i | \(-0.718337\pi\) |
0.986854 | + | 0.161614i | \(0.0516699\pi\) | |||||||
\(692\) | 3.00000 | + | 5.19615i | 0.114043 | + | 0.197528i | ||||
\(693\) | −0.738176 | + | 4.18640i | −0.0280410 | + | 0.159028i | ||||
\(694\) | 0.560668 | − | 3.17970i | 0.0212827 | − | 0.120700i | ||||
\(695\) | −24.3431 | − | 42.1635i | −0.923388 | − | 1.59935i | ||||
\(696\) | −4.82288 | + | 8.35347i | −0.182811 | + | 0.316637i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 19.8895 | + | 7.23920i | 0.752830 | + | 0.274008i | ||||
\(699\) | −32.0085 | + | 11.6501i | −1.21067 | + | 0.440649i | ||||
\(700\) | −10.4533 | + | 8.77132i | −0.395096 | + | 0.331525i | ||||
\(701\) | 2.71686 | + | 15.4081i | 0.102614 | + | 0.581954i | 0.992146 | + | 0.125082i | \(0.0399193\pi\) |
−0.889532 | + | 0.456872i | \(0.848970\pi\) | |||||||
\(702\) | −5.29150 | −0.199715 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 0.645751 | 0.0243377 | ||||||||
\(705\) | −16.1563 | − | 91.6270i | −0.608482 | − | 3.45087i | ||||
\(706\) | −14.4587 | + | 12.1323i | −0.544161 | + | 0.456605i | ||||
\(707\) | −12.9198 | + | 4.70244i | −0.485901 | + | 0.176853i | ||||
\(708\) | 19.7335 | + | 7.18242i | 0.741632 | + | 0.269932i | ||||
\(709\) | −1.26072 | − | 1.05787i | −0.0473473 | − | 0.0397291i | 0.618807 | − | 0.785543i | \(-0.287616\pi\) |
−0.666154 | + | 0.745814i | \(0.732061\pi\) | |||||||
\(710\) | 24.2288 | − | 41.9654i | 0.909289 | − | 1.57493i | ||||
\(711\) | 8.00000 | + | 13.8564i | 0.300023 | + | 0.519656i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.224267 | + | 1.27188i | −0.00839887 | + | 0.0476323i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.35425 | + | 4.07768i | −0.0880439 | + | 0.152497i | ||||
\(716\) | 15.2728 | + | 12.8154i | 0.570772 | + | 0.478935i | ||||
\(717\) | −29.8343 | − | 10.8588i | −1.11418 | − | 0.405529i | ||||
\(718\) | −10.2777 | + | 3.74076i | −0.383559 | + | 0.139604i | ||||
\(719\) | 10.1819 | − | 8.54361i | 0.379720 | − | 0.318623i | −0.432872 | − | 0.901455i | \(-0.642500\pi\) |
0.812593 | + | 0.582832i | \(0.198056\pi\) | |||||||
\(720\) | 2.53231 | + | 14.3615i | 0.0943737 | + | 0.535220i | ||||
\(721\) | 4.45751 | 0.166006 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −35.9373 | −1.33652 | ||||||||
\(724\) | −0.734316 | − | 4.16451i | −0.0272906 | − | 0.154773i | ||||
\(725\) | −23.1566 | + | 19.4307i | −0.860013 | + | 0.721637i | ||||
\(726\) | −26.3114 | + | 9.57656i | −0.976507 | + | 0.355420i | ||||
\(727\) | −21.2211 | − | 7.72384i | −0.787046 | − | 0.286461i | −0.0829387 | − | 0.996555i | \(-0.526431\pi\) |
−0.704108 | + | 0.710093i | \(0.748653\pi\) | |||||||
\(728\) | −2.52144 | − | 2.11574i | −0.0934507 | − | 0.0784144i | ||||
\(729\) | 20.5000 | − | 35.5070i | 0.759259 | − | 1.31508i | ||||
\(730\) | −22.4059 | − | 38.8081i | −0.829279 | − | 1.43635i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 6.86262 | − | 38.9199i | 0.253650 | − | 1.43852i | ||||
\(733\) | −21.0516 | − | 36.4625i | −0.777560 | − | 1.34677i | −0.933344 | − | 0.358982i | \(-0.883124\pi\) |
0.155785 | − | 0.987791i | \(-0.450209\pi\) | |||||||
\(734\) | 5.11438 | − | 8.85836i | 0.188775 | − | 0.326968i | ||||
\(735\) | 31.7102 | + | 26.6080i | 1.16965 | + | 0.981452i | ||||
\(736\) | −3.42589 | − | 1.24692i | −0.126280 | − | 0.0459621i | ||||
\(737\) | 2.81908 | − | 1.02606i | 0.103842 | − | 0.0377954i | ||||
\(738\) | 31.5350 | − | 26.4610i | 1.16082 | − | 0.974043i | ||||
\(739\) | 2.39839 | + | 13.6019i | 0.0882261 | + | 0.500355i | 0.996614 | + | 0.0822260i | \(0.0262029\pi\) |
−0.908388 | + | 0.418129i | \(0.862686\pi\) | |||||||
\(740\) | 20.5830 | 0.756646 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −14.1255 | −0.518563 | ||||||||
\(743\) | −1.81979 | − | 10.3205i | −0.0667615 | − | 0.378624i | −0.999821 | − | 0.0189022i | \(-0.993983\pi\) |
0.933060 | − | 0.359721i | \(-0.117128\pi\) | |||||||
\(744\) | 0.717978 | − | 0.602455i | 0.0263224 | − | 0.0220871i | ||||
\(745\) | 16.9145 | − | 6.15636i | 0.619698 | − | 0.225552i | ||||
\(746\) | 3.75877 | + | 1.36808i | 0.137618 | + | 0.0500890i | ||||
\(747\) | −24.3212 | − | 20.4079i | −0.889865 | − | 0.746685i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 3.87451 | + | 6.71084i | 0.141571 | + | 0.245209i | ||||
\(750\) | −5.51316 | + | 31.2667i | −0.201312 | + | 1.14170i | ||||
\(751\) | 4.14576 | − | 23.5118i | 0.151281 | − | 0.857958i | −0.810826 | − | 0.585287i | \(-0.800982\pi\) |
0.962107 | − | 0.272671i | \(-0.0879070\pi\) | |||||||
\(752\) | −4.82288 | − | 8.35347i | −0.175872 | − | 0.304620i | ||||
\(753\) | 3.66601 | − | 6.34972i | 0.133597 | − | 0.231397i | ||||
\(754\) | −5.58562 | − | 4.68689i | −0.203416 | − | 0.170686i | ||||
\(755\) | 10.0627 | + | 3.66252i | 0.366219 | + | 0.133293i | ||||
\(756\) | −4.09166 | + | 1.48924i | −0.148812 | + | 0.0541632i | ||||
\(757\) | 12.7033 | − | 10.6594i | 0.461710 | − | 0.387421i | −0.382050 | − | 0.924142i | \(-0.624782\pi\) |
0.843760 | + | 0.536721i | \(0.180337\pi\) | |||||||
\(758\) | 3.69723 | + | 20.9680i | 0.134289 | + | 0.761593i | ||||
\(759\) | −6.22876 | −0.226090 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 11.1255 | 0.403299 | 0.201649 | − | 0.979458i | \(-0.435370\pi\) | ||||
0.201649 | + | 0.979458i | \(0.435370\pi\) | |||||||
\(762\) | 1.24436 | + | 7.05714i | 0.0450786 | + | 0.255653i | ||||
\(763\) | 8.29932 | − | 6.96395i | 0.300455 | − | 0.252112i | ||||
\(764\) | 13.7035 | − | 4.98768i | 0.495777 | − | 0.180448i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −24.1459 | − | 20.2608i | −0.872428 | − | 0.732054i | ||||
\(767\) | −7.93725 | + | 13.7477i | −0.286598 | + | 0.496402i | ||||
\(768\) | 1.32288 | + | 2.29129i | 0.0477352 | + | 0.0826797i | ||||
\(769\) | 4.29059 | − | 24.3331i | 0.154722 | − | 0.877475i | −0.804317 | − | 0.594201i | \(-0.797468\pi\) |
0.959039 | − | 0.283274i | \(-0.0914205\pi\) | |||||||
\(770\) | −0.672801 | + | 3.81565i | −0.0242461 | + | 0.137506i | ||||
\(771\) | 2.26013 | + | 3.91466i | 0.0813966 | + | 0.140983i | ||||
\(772\) | 3.29150 | − | 5.70105i | 0.118464 | − | 0.205185i | ||||
\(773\) | 8.37842 | + | 7.03033i | 0.301351 | + | 0.252863i | 0.780906 | − | 0.624648i | \(-0.214758\pi\) |
−0.479555 | + | 0.877512i | \(0.659202\pi\) | |||||||
\(774\) | −2.66308 | − | 0.969281i | −0.0957224 | − | 0.0348401i | ||||
\(775\) | 2.76012 | − | 1.00460i | 0.0991463 | − | 0.0360863i | ||||
\(776\) | −10.9479 | + | 9.18640i | −0.393008 | + | 0.329773i | ||||
\(777\) | 4.26879 | + | 24.2095i | 0.153142 | + | 0.868512i | ||||
\(778\) | 12.0000 | 0.430221 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −19.2915 | −0.690747 | ||||||||
\(781\) | −1.49042 | − | 8.45261i | −0.0533315 | − | 0.302458i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −9.06404 | + | 3.29904i | −0.323922 | + | 0.117898i | ||||
\(784\) | 4.03269 | + | 1.46778i | 0.144025 | + | 0.0524207i | ||||
\(785\) | 29.5563 | + | 24.8007i | 1.05491 | + | 0.885174i | ||||
\(786\) | −18.4373 | + | 31.9343i | −0.657635 | + | 1.13906i | ||||
\(787\) | 2.73987 | + | 4.74559i | 0.0976658 | + | 0.169162i | 0.910718 | − | 0.413029i | \(-0.135529\pi\) |
−0.813052 | + | 0.582191i | \(0.802196\pi\) | |||||||
\(788\) | −0.408811 | + | 2.31848i | −0.0145633 | + | 0.0825925i | ||||
\(789\) | −2.26832 | + | 12.8643i | −0.0807544 | + | 0.457981i | ||||
\(790\) | 7.29150 | + | 12.6293i | 0.259420 | + | 0.449329i | ||||
\(791\) | 4.59412 | − | 7.95725i | 0.163348 | − | 0.282927i | ||||
\(792\) | 1.97870 | + | 1.66032i | 0.0703099 | + | 0.0589970i | ||||
\(793\) | 28.0729 | + | 10.2177i | 0.996896 | + | 0.362841i | ||||
\(794\) | −34.7097 | + | 12.6333i | −1.23180 | + | 0.448339i | ||||
\(795\) | −63.4205 | + | 53.2161i | −2.24929 | + | 1.88738i | ||||
\(796\) | 2.06199 | + | 11.6941i | 0.0730852 | + | 0.414487i | ||||
\(797\) | 2.81176 | 0.0995977 | 0.0497989 | − | 0.998759i | \(-0.484142\pi\) | ||||
0.0497989 | + | 0.998759i | \(0.484142\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 1.43980 | + | 8.16554i | 0.0509048 | + | 0.288695i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.03000 | + | 2.19474i | −0.212927 | + | 0.0774990i | ||||
\(803\) | −7.45858 | − | 2.71470i | −0.263208 | − | 0.0957997i | ||||
\(804\) | 9.41584 | + | 7.90083i | 0.332071 | + | 0.278641i | ||||
\(805\) | 10.9373 | − | 18.9439i | 0.385488 | − | 0.667684i | ||||
\(806\) | 0.354249 | + | 0.613577i | 0.0124779 | + | 0.0216123i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.45070 | + | 8.22733i | −0.0510355 | + | 0.289436i | ||||
\(809\) | 4.50000 | + | 7.79423i | 0.158212 | + | 0.274030i | 0.934224 | − | 0.356687i | \(-0.116094\pi\) |
−0.776012 | + | 0.630718i | \(0.782761\pi\) | |||||||
\(810\) | 9.11438 | − | 15.7866i | 0.320247 | − | 0.554683i | ||||
\(811\) | −15.8636 | − | 13.3112i | −0.557047 | − | 0.467418i | 0.320272 | − | 0.947326i | \(-0.396226\pi\) |
−0.877319 | + | 0.479907i | \(0.840670\pi\) | |||||||
\(812\) | −5.63816 | − | 2.05212i | −0.197860 | − | 0.0720153i | ||||
\(813\) | 43.8707 | − | 15.9676i | 1.53861 | − | 0.560010i | ||||
\(814\) | 2.79281 | − | 2.34344i | 0.0978879 | − | 0.0821377i | ||||
\(815\) | −7.55721 | − | 42.8591i | −0.264718 | − | 1.50129i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 13.5830 | 0.474919 | ||||||||
\(819\) | −2.28625 | − | 12.9660i | −0.0798882 | − | 0.453068i | ||||
\(820\) | 28.7422 | − | 24.1176i | 1.00372 | − | 0.842222i | ||||
\(821\) | 5.63816 | − | 2.05212i | 0.196773 | − | 0.0716195i | −0.241754 | − | 0.970338i | \(-0.577723\pi\) |
0.438527 | + | 0.898718i | \(0.355500\pi\) | |||||||
\(822\) | −13.8804 | − | 5.05206i | −0.484136 | − | 0.176211i | ||||
\(823\) | −0.0961326 | − | 0.0806648i | −0.00335097 | − | 0.00281180i | 0.641111 | − | 0.767449i | \(-0.278474\pi\) |
−0.644462 | + | 0.764637i | \(0.722918\pi\) | |||||||
\(824\) | 1.35425 | − | 2.34563i | 0.0471775 | − | 0.0817138i | ||||
\(825\) | 7.08301 | + | 12.2681i | 0.246599 | + | 0.427121i | ||||
\(826\) | −2.26832 | + | 12.8643i | −0.0789250 | + | 0.447606i | ||||
\(827\) | −8.22298 | + | 46.6348i | −0.285941 | + | 1.62165i | 0.415964 | + | 0.909381i | \(0.363444\pi\) |
−0.701905 | + | 0.712271i | \(0.747667\pi\) | |||||||
\(828\) | −7.29150 | − | 12.6293i | −0.253397 | − | 0.438897i | ||||
\(829\) | −12.5830 | + | 21.7944i | −0.437026 | + | 0.756951i | −0.997459 | − | 0.0712490i | \(-0.977302\pi\) |
0.560433 | + | 0.828200i | \(0.310635\pi\) | |||||||
\(830\) | −22.1672 | − | 18.6005i | −0.769436 | − | 0.645633i | ||||
\(831\) | 23.6692 | + | 8.61488i | 0.821076 | + | 0.298847i | ||||
\(832\) | −1.87939 | + | 0.684040i | −0.0651560 | + | 0.0237148i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −6.13534 | − | 34.7952i | −0.212449 | − | 1.20486i | ||||
\(835\) | −43.7490 | −1.51400 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.937254 | 0.0323962 | ||||||||
\(838\) | 5.51316 | + | 31.2667i | 0.190449 | + | 1.08009i | ||||
\(839\) | −3.43168 | + | 2.87952i | −0.118475 | + | 0.0994121i | −0.700100 | − | 0.714045i | \(-0.746861\pi\) |
0.581625 | + | 0.813457i | \(0.302417\pi\) | |||||||
\(840\) | −14.9172 | + | 5.42940i | −0.514691 | + | 0.187332i | ||||
\(841\) | 14.7612 | + | 5.37262i | 0.509005 | + | 0.185263i | ||||
\(842\) | 17.4748 | + | 14.6631i | 0.602222 | + | 0.505324i | ||||
\(843\) | −36.3229 | + | 62.9131i | −1.25103 | + | 2.16684i | ||||
\(844\) | 1.35425 | + | 2.34563i | 0.0466152 | + | 0.0807398i | ||||
\(845\) | −5.69770 | + | 32.3133i | −0.196007 | + | 1.11161i | ||||
\(846\) | 6.69987 | − | 37.9968i | 0.230346 | − | 1.30636i | ||||
\(847\) | −8.70850 | − | 15.0836i | −0.299228 | − | 0.518277i | ||||
\(848\) | −4.29150 | + | 7.43310i | −0.147371 | + | 0.255254i | ||||
\(849\) | −51.3871 | − | 43.1189i | −1.76360 | − | 1.47984i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −19.3417 | + | 7.03980i | −0.663025 | + | 0.241321i | ||||
\(852\) | 26.9387 | − | 22.6043i | 0.922906 | − | 0.774410i | ||||
\(853\) | −2.18502 | − | 12.3918i | −0.0748135 | − | 0.424289i | −0.999093 | − | 0.0425730i | \(-0.986445\pi\) |
0.924280 | − | 0.381716i | \(-0.124667\pi\) | |||||||
\(854\) | 24.5830 | 0.841213 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.70850 | 0.160933 | ||||||||
\(857\) | 3.64661 | + | 20.6810i | 0.124566 | + | 0.706448i | 0.981565 | + | 0.191130i | \(0.0612152\pi\) |
−0.856999 | + | 0.515318i | \(0.827674\pi\) | |||||||
\(858\) | −2.61757 | + | 2.19640i | −0.0893624 | + | 0.0749839i | ||||
\(859\) | 12.4310 | − | 4.52450i | 0.424139 | − | 0.154374i | −0.121127 | − | 0.992637i | \(-0.538651\pi\) |
0.545266 | + | 0.838263i | \(0.316429\pi\) | |||||||
\(860\) | −2.42723 | − | 0.883440i | −0.0827679 | − | 0.0301250i | ||||
\(861\) | 34.3278 | + | 28.8044i | 1.16989 | + | 0.981653i | ||||
\(862\) | 1.93725 | − | 3.35542i | 0.0659831 | − | 0.114286i | ||||
\(863\) | 23.4686 | + | 40.6489i | 0.798881 | + | 1.38370i | 0.920345 | + | 0.391107i | \(0.127908\pi\) |
−0.121464 | + | 0.992596i | \(0.538759\pi\) | |||||||
\(864\) | −0.459430 | + | 2.60556i | −0.0156301 | + | 0.0886428i | ||||
\(865\) | −3.79847 | + | 21.5422i | −0.129152 | + | 0.732456i | ||||
\(866\) | 6.93725 | + | 12.0157i | 0.235737 | + | 0.408309i | ||||
\(867\) | −22.4889 | + | 38.9519i | −0.763763 | + | 1.32288i | ||||
\(868\) | 0.446608 | + | 0.374749i | 0.0151589 | + | 0.0127198i | ||||
\(869\) | 2.42723 | + | 0.883440i | 0.0823382 | + | 0.0299686i | ||||
\(870\) | −33.0452 | + | 12.0275i | −1.12034 | + | 0.407770i | ||||
\(871\) | −7.11770 | + | 5.97246i | −0.241174 | + | 0.202369i | ||||
\(872\) | −1.14313 | − | 6.48299i | −0.0387112 | − | 0.219542i | ||||
\(873\) | −57.1660 | −1.93478 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −19.7490 | −0.667639 | ||||||||
\(876\) | −5.64708 | − | 32.0262i | −0.190797 | − | 1.08207i | ||||
\(877\) | −27.8490 | + | 23.3681i | −0.940393 | + | 0.789083i | −0.977654 | − | 0.210222i | \(-0.932581\pi\) |
0.0372607 | + | 0.999306i | \(0.488137\pi\) | |||||||
\(878\) | 34.5917 | − | 12.5904i | 1.16741 | − | 0.424904i | ||||
\(879\) | 32.4765 | + | 11.8205i | 1.09541 | + | 0.398695i | ||||
\(880\) | 1.80346 | + | 1.51328i | 0.0607946 | + | 0.0510127i | ||||
\(881\) | 2.56275 | − | 4.43881i | 0.0863411 | − | 0.149547i | −0.819621 | − | 0.572906i | \(-0.805816\pi\) |
0.905962 | + | 0.423359i | \(0.139149\pi\) | |||||||
\(882\) | 8.58301 | + | 14.8662i | 0.289005 | + | 0.500571i | ||||
\(883\) | 7.01448 | − | 39.7811i | 0.236056 | − | 1.33874i | −0.604322 | − | 0.796740i | \(-0.706556\pi\) |
0.840378 | − | 0.542000i | \(-0.182333\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 38.2804 | + | 66.3036i | 1.28678 | + | 2.22877i | ||||
\(886\) | −2.67712 | + | 4.63692i | −0.0899398 | + | 0.155780i | ||||
\(887\) | −29.5563 | − | 24.8007i | −0.992403 | − | 0.832725i | −0.00648943 | − | 0.999979i | \(-0.502066\pi\) |
−0.985914 | + | 0.167254i | \(0.946510\pi\) | |||||||
\(888\) | 14.0364 | + | 5.10884i | 0.471032 | + | 0.171442i | ||||
\(889\) | −4.18869 | + | 1.52456i | −0.140484 | + | 0.0511321i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.560668 | − | 3.17970i | −0.0187831 | − | 0.106524i | ||||
\(892\) | 28.8118 | 0.964689 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 13.0627 | 0.436884 | ||||||||
\(895\) | 12.6218 | + | 71.5820i | 0.421902 | + | 2.39272i | ||||
\(896\) | −1.26072 | + | 1.05787i | −0.0421177 | + | 0.0353409i | ||||
\(897\) | 18.1281 | − | 6.59808i | 0.605279 | − | 0.220304i | ||||
\(898\) | 12.8818 | + | 4.68858i | 0.429870 | + | 0.156460i | ||||
\(899\) | 0.989348 | + | 0.830162i | 0.0329966 | + | 0.0276874i | ||||
\(900\) | −16.5830 | + | 28.7226i | −0.552767 | + | 0.957420i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 1.15402 | − | 6.54479i | 0.0384247 | − | 0.217918i | ||||
\(903\) | 0.535700 | − | 3.03811i | 0.0178270 | − | 0.101102i | ||||
\(904\) | −2.79150 | − | 4.83502i | −0.0928440 | − | 0.160811i | ||||
\(905\) | 7.70850 | − | 13.3515i | 0.256239 | − | 0.443819i | ||||
\(906\) | 5.95312 | + | 4.99526i | 0.197779 | + | 0.165956i | ||||
\(907\) | −22.6116 | − | 8.22994i | −0.750805 | − | 0.273271i | −0.0618607 | − | 0.998085i | \(-0.519703\pi\) |
−0.688945 | + | 0.724814i | \(0.741926\pi\) | |||||||
\(908\) | 11.8831 | − | 4.32510i | 0.394355 | − | 0.143534i | ||||
\(909\) | −25.5989 | + | 21.4800i | −0.849062 | + | 0.712448i | ||||
\(910\) | −2.08378 | − | 11.8177i | −0.0690766 | − | 0.391753i | ||||
\(911\) | 1.06275 | 0.0352103 | 0.0176052 | − | 0.999845i | \(-0.494396\pi\) | ||||
0.0176052 | + | 0.999845i | \(0.494396\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.12549 | −0.169629 | ||||||||
\(914\) | 0.195440 | + | 1.10839i | 0.00646457 | + | 0.0366624i | ||||
\(915\) | 110.372 | − | 92.6135i | 3.64880 | − | 3.06171i | ||||
\(916\) | −18.7939 | + | 6.84040i | −0.620966 | + | 0.226013i | ||||
\(917\) | −21.5540 | − | 7.84500i | −0.711775 | − | 0.259065i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.93725 | + | 10.2836i | −0.195852 | + | 0.339226i | −0.947179 | − | 0.320704i | \(-0.896081\pi\) |
0.751328 | + | 0.659929i | \(0.229414\pi\) | |||||||
\(920\) | −6.64575 | − | 11.5108i | −0.219104 | − | 0.379499i | ||||
\(921\) | 2.13440 | − | 12.1048i | 0.0703308 | − | 0.398866i | ||||
\(922\) | −4.02274 | + | 22.8141i | −0.132482 | + | 0.751341i | ||||
\(923\) | 13.2915 | + | 23.0216i | 0.437495 | + | 0.757764i | ||||
\(924\) | −1.40588 | + | 2.43506i | −0.0462501 | + | 0.0801075i | ||||
\(925\) | 35.8599 | + | 30.0900i | 1.17907 | + | 0.989354i | ||||
\(926\) | −13.5856 | − | 4.94476i | −0.446451 | − | 0.162495i | ||||
\(927\) | 10.1806 | − | 3.70544i | 0.334375 | − | 0.121703i | ||||
\(928\) | −2.79281 | + | 2.34344i | −0.0916784 | + | 0.0769273i | ||||
\(929\) | 2.01137 | + | 11.4070i | 0.0659908 | + | 0.374253i | 0.999862 | + | 0.0166417i | \(0.00529747\pi\) |
−0.933871 | + | 0.357611i | \(0.883591\pi\) | |||||||
\(930\) | 3.41699 | 0.112048 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −12.8745 | −0.421719 | ||||||||
\(933\) | −3.83819 | − | 21.7675i | −0.125657 | − | 0.712635i | ||||
\(934\) | −18.8797 | + | 15.8420i | −0.617764 | + | 0.518366i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −7.51754 | − | 2.73616i | −0.245719 | − | 0.0894342i | ||||
\(937\) | 29.7796 | + | 24.9881i | 0.972857 | + | 0.816324i | 0.982996 | − | 0.183625i | \(-0.0587831\pi\) |
−0.0101393 | + | 0.999949i | \(0.503227\pi\) | |||||||
\(938\) | −3.82288 | + | 6.62141i | −0.124821 | + | 0.216197i | ||||
\(939\) | −30.2601 | − | 52.4121i | −0.987502 | − | 1.71040i | ||||
\(940\) | 6.10651 | − | 34.6318i | 0.199173 | − | 1.12956i | ||||
\(941\) | 10.2741 | − | 58.2671i | 0.334925 | − | 1.89945i | −0.0930452 | − | 0.995662i | \(-0.529660\pi\) |
0.427970 | − | 0.903793i | \(-0.359229\pi\) | |||||||
\(942\) | 14.0000 | + | 24.2487i | 0.456145 | + | 0.790066i | ||||
\(943\) | −18.7601 | + | 32.4935i | −0.610914 | + | 1.05813i | ||||
\(944\) | 6.08029 | + | 5.10197i | 0.197897 | + | 0.166055i | ||||
\(945\) | −14.9172 | − | 5.42940i | −0.485255 | − | 0.176618i | ||||
\(946\) | −0.429922 | + | 0.156479i | −0.0139780 | + | 0.00508756i | ||||
\(947\) | 42.7062 | − | 35.8348i | 1.38777 | − | 1.16447i | 0.421530 | − | 0.906814i | \(-0.361493\pi\) |
0.966236 | − | 0.257659i | \(-0.0829512\pi\) | |||||||
\(948\) | 1.83772 | + | 10.4222i | 0.0596864 | + | 0.338498i | ||||
\(949\) | 24.5830 | 0.797998 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.8745 | 0.514766 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 30.2262 | − | 25.3628i | 0.979123 | − | 0.821582i | −0.00483391 | − | 0.999988i | \(-0.501539\pi\) |
0.983957 | + | 0.178407i | \(0.0570942\pi\) | |||||||
\(954\) | −32.2615 | + | 11.7422i | −1.04451 | + | 0.380169i | ||||
\(955\) | 49.9597 | + | 18.1838i | 1.61666 | + | 0.588415i | ||||
\(956\) | −9.19253 | − | 7.71345i | −0.297308 | − | 0.249471i | ||||
\(957\) | −3.11438 | + | 5.39426i | −0.100674 | + | 0.174372i | ||||
\(958\) | 7.29150 | + | 12.6293i | 0.235578 | + | 0.408033i | ||||
\(959\) | 1.59552 | − | 9.04865i | 0.0515221 | − | 0.292196i | ||||
\(960\) | −1.67497 | + | 9.49921i | −0.0540593 | + | 0.306586i | ||||
\(961\) | 15.4373 | + | 26.7381i | 0.497976 | + | 0.862520i | ||||
\(962\) | −5.64575 | + | 9.77873i | −0.182026 | + | 0.315279i | ||||
\(963\) | 14.4277 | + | 12.1063i | 0.464925 | + | 0.390119i | ||||
\(964\) | −12.7638 | − | 4.64566i | −0.411096 | − | 0.149627i | ||||
\(965\) | 22.5526 | − | 8.20848i | 0.725995 | − | 0.264240i | ||||
\(966\) | 12.1606 | − | 10.2039i | 0.391260 | − | 0.328306i | ||||
\(967\) | −0.470326 | − | 2.66735i | −0.0151247 | − | 0.0857762i | 0.976311 | − | 0.216372i | \(-0.0694222\pi\) |
−0.991436 | + | 0.130595i | \(0.958311\pi\) | |||||||
\(968\) | −10.5830 | −0.340151 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −52.1033 | −1.67293 | ||||||||
\(971\) | 2.49963 | + | 14.1761i | 0.0802168 | + | 0.454932i | 0.998287 | + | 0.0585133i | \(0.0186360\pi\) |
−0.918070 | + | 0.396419i | \(0.870253\pi\) | |||||||
\(972\) | 16.2141 | − | 13.6052i | 0.520068 | − | 0.436389i | ||||
\(973\) | 20.6524 | − | 7.51684i | 0.662084 | − | 0.240979i | ||||
\(974\) | 20.8882 | + | 7.60268i | 0.669301 | + | 0.243606i | ||||
\(975\) | −33.6098 | − | 28.2020i | −1.07638 | − | 0.903187i | ||||
\(976\) | 7.46863 | − | 12.9360i | 0.239065 | − | 0.414073i | ||||
\(977\) | −22.7288 | − | 39.3674i | −0.727157 | − | 1.25947i | −0.958080 | − | 0.286501i | \(-0.907508\pi\) |
0.230923 | − | 0.972972i | \(-0.425826\pi\) | |||||||
\(978\) | 5.48433 | − | 31.1032i | 0.175370 | − | 0.994570i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | 7.82288 | + | 13.5496i | 0.249893 | + | 0.432827i | ||||
\(981\) | 13.1660 | − | 22.8042i | 0.420358 | − | 0.728082i | ||||
\(982\) | 21.9920 | + | 18.4535i | 0.701792 | + | 0.588874i | ||||
\(983\) | 29.8343 | + | 10.8588i | 0.951567 | + | 0.346342i | 0.770723 | − | 0.637170i | \(-0.219895\pi\) |
0.180843 | + | 0.983512i | \(0.442117\pi\) | |||||||
\(984\) | 25.5867 | − | 9.31278i | 0.815673 | − | 0.296881i | ||||
\(985\) | −6.57496 | + | 5.51705i | −0.209496 | + | 0.175788i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 42.0000 | 1.33687 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.58301 | 0.0821348 | ||||||||
\(990\) | 1.63524 | + | 9.27393i | 0.0519715 | + | 0.294745i | ||||
\(991\) | −34.5992 | + | 29.0322i | −1.09908 | + | 0.922237i | −0.997363 | − | 0.0725768i | \(-0.976878\pi\) |
−0.101716 | + | 0.994813i | \(0.532433\pi\) | |||||||
\(992\) | 0.332885 | − | 0.121160i | 0.0105691 | − | 0.00384684i | ||||
\(993\) | −69.1454 | − | 25.1669i | −2.19426 | − | 0.798646i | ||||
\(994\) | 16.7568 | + | 14.0607i | 0.531495 | + | 0.445977i | ||||
\(995\) | −21.6458 | + | 37.4915i | −0.686216 | + | 1.18856i | ||||
\(996\) | −10.5000 | − | 18.1865i | −0.332705 | − | 0.576262i | ||||
\(997\) | −1.77620 | + | 10.0734i | −0.0562530 | + | 0.319026i | −0.999930 | − | 0.0118419i | \(-0.996231\pi\) |
0.943677 | + | 0.330868i | \(0.107342\pi\) | |||||||
\(998\) | −5.42282 | + | 30.7543i | −0.171656 | + | 0.973511i | ||||
\(999\) | 7.46863 | + | 12.9360i | 0.236297 | + | 0.409278i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))