Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(76,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.76");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.l (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.38990213644\) |
Analytic rank: | \(1\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.151 |
Dual form | 675.2.l.a.76.1 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.93969 | − | 1.62760i | −1.37157 | − | 1.15088i | −0.972216 | − | 0.234087i | \(-0.924790\pi\) |
−0.399354 | − | 0.916797i | \(-0.630766\pi\) | |||||||
\(3\) | 1.11334 | + | 1.32683i | 0.642788 | + | 0.766044i | ||||
\(4\) | 0.766044 | + | 4.34445i | 0.383022 | + | 2.17223i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | − | 4.38571i | − | 1.79046i | ||||||
\(7\) | 0.532089 | − | 3.01763i | 0.201111 | − | 1.14056i | −0.702333 | − | 0.711849i | \(-0.747858\pi\) |
0.903444 | − | 0.428707i | \(-0.141031\pi\) | |||||||
\(8\) | 3.05303 | − | 5.28801i | 1.07941 | − | 1.86959i | ||||
\(9\) | −0.520945 | + | 2.95442i | −0.173648 | + | 0.984808i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −5.29813 | + | 1.92836i | −1.59745 | + | 0.581423i | −0.978903 | − | 0.204326i | \(-0.934500\pi\) |
−0.618545 | + | 0.785750i | \(0.712277\pi\) | |||||||
\(12\) | −4.91147 | + | 5.85327i | −1.41782 | + | 1.68969i | ||||
\(13\) | −3.23783 | + | 2.71686i | −0.898011 | + | 0.753521i | −0.969801 | − | 0.243899i | \(-0.921574\pi\) |
0.0717893 | + | 0.997420i | \(0.477129\pi\) | |||||||
\(14\) | −5.94356 | + | 4.98724i | −1.58848 | + | 1.33290i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.23783 | + | 2.27038i | −1.55946 | + | 0.567596i | ||||
\(17\) | −0.826352 | − | 1.43128i | −0.200420 | − | 0.347137i | 0.748244 | − | 0.663424i | \(-0.230897\pi\) |
−0.948664 | + | 0.316286i | \(0.897564\pi\) | |||||||
\(18\) | 5.81908 | − | 4.88279i | 1.37157 | − | 1.15088i | ||||
\(19\) | −0.120615 | + | 0.208911i | −0.0276709 | + | 0.0479274i | −0.879529 | − | 0.475845i | \(-0.842142\pi\) |
0.851858 | + | 0.523772i | \(0.175476\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.59627 | − | 2.65366i | 1.00299 | − | 0.579075i | ||||
\(22\) | 13.4153 | + | 4.88279i | 2.86016 | + | 1.04101i | ||||
\(23\) | −1.29426 | − | 7.34013i | −0.269872 | − | 1.53052i | −0.754792 | − | 0.655964i | \(-0.772262\pi\) |
0.484920 | − | 0.874559i | \(-0.338849\pi\) | |||||||
\(24\) | 10.4153 | − | 1.83651i | 2.12602 | − | 0.374875i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 10.7023 | 2.09890 | ||||||||
\(27\) | −4.50000 | + | 2.59808i | −0.866025 | + | 0.500000i | ||||
\(28\) | 13.5175 | 2.55458 | ||||||||
\(29\) | −5.90033 | − | 4.95096i | −1.09566 | − | 0.919371i | −0.0985378 | − | 0.995133i | \(-0.531417\pi\) |
−0.997126 | + | 0.0757623i | \(0.975861\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.858441 | + | 4.86846i | 0.154181 | + | 0.874401i | 0.959531 | + | 0.281602i | \(0.0908659\pi\) |
−0.805351 | + | 0.592799i | \(0.798023\pi\) | |||||||
\(32\) | 4.31908 | + | 1.57202i | 0.763512 | + | 0.277896i | ||||
\(33\) | −8.45723 | − | 4.88279i | −1.47222 | − | 0.849984i | ||||
\(34\) | −0.726682 | + | 4.12122i | −0.124625 | + | 0.706783i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −13.2344 | −2.20574 | ||||||||
\(37\) | −1.24510 | − | 2.15658i | −0.204693 | − | 0.354539i | 0.745342 | − | 0.666683i | \(-0.232286\pi\) |
−0.950035 | + | 0.312144i | \(0.898953\pi\) | |||||||
\(38\) | 0.573978 | − | 0.208911i | 0.0931115 | − | 0.0338898i | ||||
\(39\) | −7.20961 | − | 1.27125i | −1.15446 | − | 0.203563i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.109470 | + | 0.0918566i | −0.0170964 | + | 0.0143456i | −0.651296 | − | 0.758824i | \(-0.725774\pi\) |
0.634199 | + | 0.773170i | \(0.281330\pi\) | |||||||
\(42\) | −13.2344 | − | 2.33359i | −2.04212 | − | 0.360080i | ||||
\(43\) | −0.705737 | + | 0.256867i | −0.107624 | + | 0.0391719i | −0.395271 | − | 0.918565i | \(-0.629349\pi\) |
0.287647 | + | 0.957737i | \(0.407127\pi\) | |||||||
\(44\) | −12.4363 | − | 21.5403i | −1.87484 | − | 3.24732i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.43629 | + | 16.3441i | −1.39130 | + | 2.40981i | ||||
\(47\) | −0.807934 | + | 4.58202i | −0.117849 | + | 0.668356i | 0.867451 | + | 0.497523i | \(0.165757\pi\) |
−0.985300 | + | 0.170833i | \(0.945354\pi\) | |||||||
\(48\) | −9.95723 | − | 5.74881i | −1.43720 | − | 0.829769i | ||||
\(49\) | −2.24510 | − | 0.817150i | −0.320729 | − | 0.116736i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.979055 | − | 2.68993i | 0.137095 | − | 0.376666i | ||||
\(52\) | −14.2836 | − | 11.9854i | −1.98078 | − | 1.66207i | ||||
\(53\) | −12.1061 | −1.66290 | −0.831448 | − | 0.555602i | \(-0.812488\pi\) | ||||
−0.831448 | + | 0.555602i | \(0.812488\pi\) | |||||||
\(54\) | 12.9572 | + | 2.28471i | 1.76326 | + | 0.310910i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −14.3327 | − | 12.0266i | −1.91529 | − | 1.60712i | ||||
\(57\) | −0.411474 | + | 0.0725540i | −0.0545011 | + | 0.00961001i | ||||
\(58\) | 3.38666 | + | 19.2067i | 0.444690 | + | 2.52196i | ||||
\(59\) | 4.45336 | + | 1.62089i | 0.579779 | + | 0.211022i | 0.615228 | − | 0.788349i | \(-0.289064\pi\) |
−0.0354493 | + | 0.999371i | \(0.511286\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.41488 | − | 13.6955i | 0.309193 | − | 1.75352i | −0.293885 | − | 0.955841i | \(-0.594948\pi\) |
0.603078 | − | 0.797682i | \(-0.293941\pi\) | |||||||
\(62\) | 6.25877 | − | 10.8405i | 0.794865 | − | 1.37675i | ||||
\(63\) | 8.63816 | + | 3.14403i | 1.08831 | + | 0.396111i | ||||
\(64\) | 0.819078 | + | 1.41868i | 0.102385 | + | 0.177336i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.45723 | + | 23.2361i | 1.04101 | + | 2.86016i | ||||
\(67\) | −5.64543 | + | 4.73708i | −0.689699 | + | 0.578726i | −0.918822 | − | 0.394671i | \(-0.870859\pi\) |
0.229123 | + | 0.973397i | \(0.426414\pi\) | |||||||
\(68\) | 5.58512 | − | 4.68647i | 0.677296 | − | 0.568318i | ||||
\(69\) | 8.29813 | − | 9.88933i | 0.998978 | − | 1.19054i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.45084 | + | 4.24497i | 0.290861 | + | 0.503786i | 0.974014 | − | 0.226490i | \(-0.0727250\pi\) |
−0.683153 | + | 0.730276i | \(0.739392\pi\) | |||||||
\(72\) | 14.0326 | + | 11.7747i | 1.65375 | + | 1.38766i | ||||
\(73\) | −0.113341 | + | 0.196312i | −0.0132655 | + | 0.0229766i | −0.872582 | − | 0.488468i | \(-0.837556\pi\) |
0.859316 | + | 0.511444i | \(0.170889\pi\) | |||||||
\(74\) | −1.09492 | + | 6.20961i | −0.127282 | + | 0.721853i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | − | 0.363970i | −0.114708 | − | 0.0417502i | ||||
\(77\) | 3.00000 | + | 17.0138i | 0.341882 | + | 1.93891i | ||||
\(78\) | 11.9153 | + | 14.2002i | 1.34915 | + | 1.60785i | ||||
\(79\) | −7.53596 | − | 6.32342i | −0.847862 | − | 0.711440i | 0.111456 | − | 0.993769i | \(-0.464449\pi\) |
−0.959318 | + | 0.282329i | \(0.908893\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.45723 | − | 3.07818i | −0.939693 | − | 0.342020i | ||||
\(82\) | 0.361844 | 0.0399590 | ||||||||
\(83\) | 6.78493 | + | 5.69323i | 0.744743 | + | 0.624913i | 0.934107 | − | 0.356994i | \(-0.116198\pi\) |
−0.189364 | + | 0.981907i | \(0.560643\pi\) | |||||||
\(84\) | 15.0496 | + | 17.9355i | 1.64205 | + | 1.95692i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.78699 | + | 0.650411i | 0.192696 | + | 0.0701356i | ||||
\(87\) | − | 13.3408i | − | 1.43029i | ||||||
\(88\) | −5.97818 | + | 33.9039i | −0.637276 | + | 3.61417i | ||||
\(89\) | −3.33022 | + | 5.76811i | −0.353003 | + | 0.611419i | −0.986774 | − | 0.162102i | \(-0.948173\pi\) |
0.633771 | + | 0.773521i | \(0.281506\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.47565 | + | 11.2162i | 0.678833 | + | 1.17577i | ||||
\(92\) | 30.8974 | − | 11.2457i | 3.22128 | − | 1.17245i | ||||
\(93\) | −5.50387 | + | 6.55926i | −0.570725 | + | 0.680163i | ||||
\(94\) | 9.02481 | − | 7.57272i | 0.930839 | − | 0.781066i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.72281 | + | 7.48086i | 0.277896 | + | 0.763512i | ||||
\(97\) | −8.95723 | + | 3.26017i | −0.909469 | + | 0.331020i | −0.754041 | − | 0.656827i | \(-0.771898\pi\) |
−0.155428 | + | 0.987847i | \(0.549676\pi\) | |||||||
\(98\) | 3.02481 | + | 5.23913i | 0.305552 | + | 0.529232i | ||||
\(99\) | −2.93717 | − | 16.6575i | −0.295196 | − | 1.67414i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.405078 | + | 2.29731i | −0.0403067 | + | 0.228591i | −0.998306 | − | 0.0581793i | \(-0.981470\pi\) |
0.957999 | + | 0.286770i | \(0.0925816\pi\) | |||||||
\(102\) | −6.27719 | + | 3.62414i | −0.621534 | + | 0.358843i | ||||
\(103\) | −17.5141 | − | 6.37462i | −1.72572 | − | 0.628110i | −0.727408 | − | 0.686205i | \(-0.759275\pi\) |
−0.998311 | + | 0.0580946i | \(0.981497\pi\) | |||||||
\(104\) | 4.48158 | + | 25.4163i | 0.439455 | + | 2.49227i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 23.4820 | + | 19.7038i | 2.28078 | + | 1.91380i | ||||
\(107\) | −10.4037 | −1.00577 | −0.502883 | − | 0.864354i | \(-0.667728\pi\) | ||||
−0.502883 | + | 0.864354i | \(0.667728\pi\) | |||||||
\(108\) | −14.7344 | − | 17.5598i | −1.41782 | − | 1.68969i | ||||
\(109\) | 0.147956 | 0.0141716 | 0.00708580 | − | 0.999975i | \(-0.497745\pi\) | ||||
0.00708580 | + | 0.999975i | \(0.497745\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.47519 | − | 4.05304i | 0.140018 | − | 0.384697i | ||||
\(112\) | 3.53209 | + | 20.0315i | 0.333751 | + | 1.89280i | ||||
\(113\) | 6.65183 | + | 2.42107i | 0.625751 | + | 0.227755i | 0.635381 | − | 0.772199i | \(-0.280843\pi\) |
−0.00962978 | + | 0.999954i | \(0.503065\pi\) | |||||||
\(114\) | 0.916222 | + | 0.528981i | 0.0858120 | + | 0.0495436i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 16.9893 | − | 29.4264i | 1.57742 | − | 2.73217i | ||||
\(117\) | −6.34002 | − | 10.9812i | −0.586135 | − | 1.01522i | ||||
\(118\) | −6.00000 | − | 10.3923i | −0.552345 | − | 0.956689i | ||||
\(119\) | −4.75877 | + | 1.73205i | −0.436236 | + | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.9251 | − | 13.3628i | 1.44774 | − | 1.21480i | ||||
\(122\) | −26.9748 | + | 22.6345i | −2.44218 | + | 2.04923i | ||||
\(123\) | −0.243756 | − | 0.0429807i | −0.0219787 | − | 0.00387544i | ||||
\(124\) | −20.4932 | + | 7.45891i | −1.84034 | + | 0.669830i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −11.6382 | − | 20.1579i | −1.03681 | − | 1.79581i | ||||
\(127\) | −0.121959 | + | 0.211239i | −0.0108221 | + | 0.0187444i | −0.871386 | − | 0.490599i | \(-0.836778\pi\) |
0.860564 | + | 0.509343i | \(0.170112\pi\) | |||||||
\(128\) | 2.31655 | − | 13.1378i | 0.204756 | − | 1.16123i | ||||
\(129\) | −1.12654 | − | 0.650411i | −0.0991867 | − | 0.0572655i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.57263 | + | 8.91885i | 0.137402 | + | 0.779243i | 0.973157 | + | 0.230142i | \(0.0739190\pi\) |
−0.835755 | + | 0.549102i | \(0.814970\pi\) | |||||||
\(132\) | 14.7344 | − | 40.4825i | 1.28247 | − | 3.52355i | ||||
\(133\) | 0.566237 | + | 0.475129i | 0.0490990 | + | 0.0411989i | ||||
\(134\) | 18.6604 | 1.61202 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −10.0915 | −0.865341 | ||||||||
\(137\) | 9.50253 | + | 7.97357i | 0.811856 | + | 0.681228i | 0.951050 | − | 0.309037i | \(-0.100007\pi\) |
−0.139194 | + | 0.990265i | \(0.544451\pi\) | |||||||
\(138\) | −32.1917 | + | 5.67626i | −2.74034 | + | 0.483195i | ||||
\(139\) | 3.21823 | + | 18.2515i | 0.272966 | + | 1.54807i | 0.745348 | + | 0.666675i | \(0.232283\pi\) |
−0.472382 | + | 0.881394i | \(0.656606\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.97906 | + | 4.02936i | −0.587742 | + | 0.339333i | ||||
\(142\) | 2.15523 | − | 12.2229i | 0.180863 | − | 1.02572i | ||||
\(143\) | 11.9153 | − | 20.6380i | 0.996411 | − | 1.72583i | ||||
\(144\) | −3.45811 | − | 19.6119i | −0.288176 | − | 1.63433i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.539363 | − | 0.196312i | 0.0446380 | − | 0.0162469i | ||||
\(147\) | −1.41534 | − | 3.88863i | −0.116736 | − | 0.320729i | ||||
\(148\) | 8.41534 | − | 7.06131i | 0.691737 | − | 0.580436i | ||||
\(149\) | −3.66044 | + | 3.07148i | −0.299875 | + | 0.251625i | −0.780292 | − | 0.625415i | \(-0.784930\pi\) |
0.480417 | + | 0.877040i | \(0.340485\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.25877 | − | 1.91404i | 0.427953 | − | 0.155762i | −0.119059 | − | 0.992887i | \(-0.537988\pi\) |
0.547011 | + | 0.837125i | \(0.315765\pi\) | |||||||
\(152\) | 0.736482 | + | 1.27562i | 0.0597366 | + | 0.103467i | ||||
\(153\) | 4.65910 | − | 1.69577i | 0.376666 | − | 0.137095i | ||||
\(154\) | 21.8726 | − | 37.8844i | 1.76254 | − | 3.05281i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | − | 32.2956i | − | 2.58572i | ||||||
\(157\) | 18.8059 | + | 6.84478i | 1.50087 | + | 0.546273i | 0.956286 | − | 0.292432i | \(-0.0944646\pi\) |
0.544586 | + | 0.838705i | \(0.316687\pi\) | |||||||
\(158\) | 4.32547 | + | 24.5310i | 0.344116 | + | 1.95158i | ||||
\(159\) | −13.4782 | − | 16.0627i | −1.06889 | − | 1.27385i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −22.8384 | −1.79992 | ||||||||
\(162\) | 11.3944 | + | 19.7357i | 0.895229 | + | 1.55058i | ||||
\(163\) | −9.95811 | −0.779979 | −0.389990 | − | 0.920819i | \(-0.627521\pi\) | ||||
−0.389990 | + | 0.920819i | \(0.627521\pi\) | |||||||
\(164\) | −0.482926 | − | 0.405223i | −0.0377102 | − | 0.0316426i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.89440 | − | 22.0862i | −0.302264 | − | 1.71422i | ||||
\(167\) | 2.97178 | + | 1.08164i | 0.229963 | + | 0.0836998i | 0.454432 | − | 0.890782i | \(-0.349842\pi\) |
−0.224468 | + | 0.974481i | \(0.572065\pi\) | |||||||
\(168\) | − | 32.4068i | − | 2.50024i | ||||||
\(169\) | 0.844770 | − | 4.79093i | 0.0649823 | − | 0.368533i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.554378 | − | 0.465178i | −0.0423943 | − | 0.0355731i | ||||
\(172\) | −1.65657 | − | 2.86927i | −0.126313 | − | 0.218780i | ||||
\(173\) | 18.5608 | − | 6.75557i | 1.41115 | − | 0.513616i | 0.479682 | − | 0.877442i | \(-0.340752\pi\) |
0.931467 | + | 0.363826i | \(0.118530\pi\) | |||||||
\(174\) | −21.7135 | + | 25.8771i | −1.64609 | + | 1.96174i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 28.6707 | − | 24.0576i | 2.16114 | − | 1.81341i | ||||
\(177\) | 2.80747 | + | 7.71345i | 0.211022 | + | 0.579779i | ||||
\(178\) | 15.8478 | − | 5.76811i | 1.18784 | − | 0.432338i | ||||
\(179\) | 4.05051 | + | 7.01568i | 0.302749 | + | 0.524377i | 0.976758 | − | 0.214347i | \(-0.0687622\pi\) |
−0.674009 | + | 0.738724i | \(0.735429\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.45723 | − | 7.72016i | 0.331304 | − | 0.573835i | −0.651464 | − | 0.758679i | \(-0.725845\pi\) |
0.982768 | + | 0.184845i | \(0.0591782\pi\) | |||||||
\(182\) | 5.69459 | − | 32.2956i | 0.422111 | − | 2.39391i | ||||
\(183\) | 20.8601 | − | 12.0436i | 1.54202 | − | 0.890287i | ||||
\(184\) | −42.7661 | − | 15.5656i | −3.15276 | − | 1.14751i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 21.3516 | − | 3.76487i | 1.56558 | − | 0.276054i | ||||
\(187\) | 7.13816 | + | 5.98962i | 0.521994 | + | 0.438005i | ||||
\(188\) | −20.5253 | −1.49696 | ||||||||
\(189\) | 5.44562 | + | 14.9617i | 0.396111 | + | 1.08831i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.27584 | − | 3.58786i | −0.309389 | − | 0.259608i | 0.474850 | − | 0.880067i | \(-0.342502\pi\) |
−0.784240 | + | 0.620458i | \(0.786947\pi\) | |||||||
\(192\) | −0.970437 | + | 2.66625i | −0.0700353 | + | 0.192420i | ||||
\(193\) | −4.39780 | − | 24.9412i | −0.316561 | − | 1.79531i | −0.563331 | − | 0.826232i | \(-0.690480\pi\) |
0.246770 | − | 0.969074i | \(-0.420631\pi\) | |||||||
\(194\) | 22.6805 | + | 8.25503i | 1.62837 | + | 0.592677i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.83022 | − | 10.3797i | 0.130730 | − | 0.741408i | ||||
\(197\) | 2.44104 | − | 4.22800i | 0.173917 | − | 0.301233i | −0.765869 | − | 0.642996i | \(-0.777691\pi\) |
0.939786 | + | 0.341764i | \(0.111024\pi\) | |||||||
\(198\) | −21.4145 | + | 37.0909i | −1.52186 | + | 2.63594i | ||||
\(199\) | −8.68092 | − | 15.0358i | −0.615374 | − | 1.06586i | −0.990319 | − | 0.138812i | \(-0.955672\pi\) |
0.374944 | − | 0.927047i | \(-0.377662\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.5706 | − | 2.21653i | −0.886660 | − | 0.156342i | ||||
\(202\) | 4.52481 | − | 3.79677i | 0.318365 | − | 0.267140i | ||||
\(203\) | −18.0797 | + | 15.1706i | −1.26894 | + | 1.06477i | ||||
\(204\) | 12.4363 | + | 2.19285i | 0.870714 | + | 0.153530i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 23.5967 | + | 40.8707i | 1.64406 | + | 2.84760i | ||||
\(207\) | 22.3601 | 1.55413 | ||||||||
\(208\) | 14.0287 | − | 24.2984i | 0.972714 | − | 1.68479i | ||||
\(209\) | 0.236177 | − | 1.33943i | 0.0163367 | − | 0.0926501i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.7699 | − | 3.91993i | −0.741432 | − | 0.269859i | −0.0564359 | − | 0.998406i | \(-0.517974\pi\) |
−0.684996 | + | 0.728547i | \(0.740196\pi\) | |||||||
\(212\) | −9.27379 | − | 52.5942i | −0.636926 | − | 3.61219i | ||||
\(213\) | −2.90373 | + | 7.97794i | −0.198961 | + | 0.546640i | ||||
\(214\) | 20.1800 | + | 16.9331i | 1.37948 | + | 1.15752i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 31.7281i | 2.15882i | ||||||||
\(217\) | 15.1480 | 1.02831 | ||||||||
\(218\) | −0.286989 | − | 0.240812i | −0.0194373 | − | 0.0163099i | ||||
\(219\) | −0.386659 | + | 0.0681784i | −0.0261280 | + | 0.00460707i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.56418 | + | 2.38917i | 0.441554 | + | 0.160713i | ||||
\(222\) | −9.45811 | + | 5.46064i | −0.634787 | + | 0.366494i | ||||
\(223\) | −0.0765042 | + | 0.433877i | −0.00512310 | + | 0.0290545i | −0.987262 | − | 0.159102i | \(-0.949140\pi\) |
0.982139 | + | 0.188157i | \(0.0602512\pi\) | |||||||
\(224\) | 7.04189 | − | 12.1969i | 0.470506 | − | 0.814940i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.96198 | − | 15.5226i | −0.596142 | − | 1.03255i | ||||
\(227\) | 4.99273 | − | 1.81720i | 0.331379 | − | 0.120612i | −0.170972 | − | 0.985276i | \(-0.554691\pi\) |
0.502351 | + | 0.864664i | \(0.332469\pi\) | |||||||
\(228\) | −0.630415 | − | 1.73205i | −0.0417502 | − | 0.114708i | ||||
\(229\) | 0.0603074 | − | 0.0506039i | 0.00398522 | − | 0.00334400i | −0.640793 | − | 0.767714i | \(-0.721394\pi\) |
0.644778 | + | 0.764370i | \(0.276950\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −19.2344 | + | 22.9227i | −1.26553 | + | 1.50820i | ||||
\(232\) | −44.1946 | + | 16.0855i | −2.90152 | + | 1.05607i | ||||
\(233\) | −0.187319 | − | 0.324446i | −0.0122717 | − | 0.0212551i | 0.859824 | − | 0.510590i | \(-0.170573\pi\) |
−0.872096 | + | 0.489335i | \(0.837240\pi\) | |||||||
\(234\) | −5.57532 | + | 31.6192i | −0.364470 | + | 2.06701i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.63041 | + | 20.5891i | −0.236320 | + | 1.34024i | ||||
\(237\) | − | 17.0390i | − | 1.10680i | ||||||
\(238\) | 12.0496 | + | 4.38571i | 0.781061 | + | 0.284283i | ||||
\(239\) | −1.88666 | − | 10.6998i | −0.122038 | − | 0.692111i | −0.983023 | − | 0.183481i | \(-0.941263\pi\) |
0.860985 | − | 0.508630i | \(-0.169848\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.4893 | + | 17.1926i | 1.31983 | + | 1.10747i | 0.986341 | + | 0.164719i | \(0.0526717\pi\) |
0.333493 | + | 0.942753i | \(0.391773\pi\) | |||||||
\(242\) | −52.6391 | −3.38377 | ||||||||
\(243\) | −5.33157 | − | 14.6484i | −0.342020 | − | 0.939693i | ||||
\(244\) | 61.3492 | 3.92748 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.402856 | + | 0.480105i | 0.0256852 | + | 0.0306104i | ||||
\(247\) | −0.177052 | − | 1.00411i | −0.0112655 | − | 0.0638900i | ||||
\(248\) | 28.3653 | + | 10.3241i | 1.80120 | + | 0.655583i | ||||
\(249\) | 15.3409i | 0.972193i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.99660 | − | 5.19026i | 0.189143 | − | 0.327606i | −0.755821 | − | 0.654778i | \(-0.772762\pi\) |
0.944965 | + | 0.327172i | \(0.106096\pi\) | |||||||
\(252\) | −7.04189 | + | 39.9365i | −0.443597 | + | 2.51577i | ||||
\(253\) | 21.0116 | + | 36.3932i | 1.32099 | + | 2.28802i | ||||
\(254\) | 0.580375 | − | 0.211239i | 0.0364159 | − | 0.0132543i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −23.3666 | + | 19.6069i | −1.46042 | + | 1.22543i | ||||
\(257\) | 4.84524 | − | 4.06564i | 0.302238 | − | 0.253607i | −0.479037 | − | 0.877795i | \(-0.659014\pi\) |
0.781275 | + | 0.624187i | \(0.214570\pi\) | |||||||
\(258\) | 1.12654 | + | 3.09516i | 0.0701356 | + | 0.192696i | ||||
\(259\) | −7.17024 | + | 2.60976i | −0.445537 | + | 0.162162i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.7010 | − | 14.8529i | 1.09566 | − | 0.919371i | ||||
\(262\) | 11.4659 | − | 19.8594i | 0.708363 | − | 1.22692i | ||||
\(263\) | 0.0812519 | − | 0.460802i | 0.00501021 | − | 0.0284143i | −0.982200 | − | 0.187837i | \(-0.939852\pi\) |
0.987210 | + | 0.159423i | \(0.0509634\pi\) | |||||||
\(264\) | −51.6404 | + | 29.8146i | −3.17825 | + | 1.83496i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.325008 | − | 1.84321i | −0.0199275 | − | 0.113014i | ||||
\(267\) | −11.3610 | + | 2.00324i | −0.695280 | + | 0.122597i | ||||
\(268\) | −24.9047 | − | 20.8975i | −1.52129 | − | 1.27652i | ||||
\(269\) | 1.84524 | 0.112506 | 0.0562530 | − | 0.998417i | \(-0.482085\pi\) | ||||
0.0562530 | + | 0.998417i | \(0.482085\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.12567 | −0.250616 | −0.125308 | − | 0.992118i | \(-0.539992\pi\) | ||||
−0.125308 | + | 0.992118i | \(0.539992\pi\) | |||||||
\(272\) | 8.40420 | + | 7.05196i | 0.509579 | + | 0.427588i | ||||
\(273\) | −7.67230 | + | 21.0795i | −0.464349 | + | 1.27579i | ||||
\(274\) | −5.45424 | − | 30.9325i | −0.329503 | − | 1.86870i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 49.3205 | + | 28.4752i | 2.96874 | + | 1.71401i | ||||
\(277\) | −0.0106775 | + | 0.0605553i | −0.000641550 | + | 0.00363841i | −0.985127 | − | 0.171829i | \(-0.945032\pi\) |
0.984485 | + | 0.175467i | \(0.0561436\pi\) | |||||||
\(278\) | 23.4636 | − | 40.6402i | 1.40726 | − | 2.43744i | ||||
\(279\) | −14.8307 | −0.887890 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.68479 | − | 2.06910i | 0.339126 | − | 0.123432i | −0.166843 | − | 0.985984i | \(-0.553357\pi\) |
0.505969 | + | 0.862552i | \(0.331135\pi\) | |||||||
\(282\) | 20.0954 | + | 3.54336i | 1.19666 | + | 0.211004i | ||||
\(283\) | −6.40033 | + | 5.37051i | −0.380460 | + | 0.319244i | −0.812883 | − | 0.582427i | \(-0.802103\pi\) |
0.432423 | + | 0.901671i | \(0.357659\pi\) | |||||||
\(284\) | −16.5646 | + | 13.8994i | −0.982931 | + | 0.824777i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −56.7024 | + | 20.6380i | −3.35288 | + | 1.22035i | ||||
\(287\) | 0.218941 | + | 0.379217i | 0.0129237 | + | 0.0223844i | ||||
\(288\) | −6.89440 | + | 11.9415i | −0.406256 | + | 0.703657i | ||||
\(289\) | 7.13429 | − | 12.3569i | 0.419664 | − | 0.726879i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.2981 | − | 8.25503i | −0.838171 | − | 0.483918i | ||||
\(292\) | −0.939693 | − | 0.342020i | −0.0549914 | − | 0.0200152i | ||||
\(293\) | 2.08600 | + | 11.8303i | 0.121865 | + | 0.691133i | 0.983120 | + | 0.182960i | \(0.0585679\pi\) |
−0.861255 | + | 0.508173i | \(0.830321\pi\) | |||||||
\(294\) | −3.58378 | + | 9.84635i | −0.209010 | + | 0.574251i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −15.2053 | −0.883792 | ||||||||
\(297\) | 18.8316 | − | 22.4426i | 1.09272 | − | 1.30225i | ||||
\(298\) | 12.0993 | 0.700891 | ||||||||
\(299\) | 24.1327 | + | 20.2497i | 1.39563 | + | 1.17107i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.399615 | + | 2.26633i | 0.0230334 | + | 0.130629i | ||||
\(302\) | −13.3157 | − | 4.84651i | −0.766231 | − | 0.278885i | ||||
\(303\) | −3.49912 | + | 2.02022i | −0.201019 | + | 0.116059i | ||||
\(304\) | 0.278066 | − | 1.57699i | 0.0159482 | − | 0.0904467i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −11.7973 | − | 4.29385i | −0.674404 | − | 0.245463i | ||||
\(307\) | 5.39053 | + | 9.33667i | 0.307654 | + | 0.532872i | 0.977849 | − | 0.209313i | \(-0.0671228\pi\) |
−0.670195 | + | 0.742185i | \(0.733789\pi\) | |||||||
\(308\) | −71.6177 | + | 26.0667i | −4.08080 | + | 1.48529i | ||||
\(309\) | −11.0412 | − | 30.3354i | −0.628110 | − | 1.72572i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.8341 | + | 9.92998i | −0.671050 | + | 0.563078i | −0.913376 | − | 0.407117i | \(-0.866534\pi\) |
0.242326 | + | 0.970195i | \(0.422090\pi\) | |||||||
\(312\) | −28.7335 | + | 34.2433i | −1.62672 | + | 1.93865i | ||||
\(313\) | −4.35117 | + | 1.58370i | −0.245942 | + | 0.0895157i | −0.462050 | − | 0.886854i | \(-0.652886\pi\) |
0.216108 | + | 0.976370i | \(0.430664\pi\) | |||||||
\(314\) | −25.3371 | − | 43.8851i | −1.42985 | − | 2.47658i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 21.6989 | − | 37.5836i | 1.22066 | − | 2.11425i | ||||
\(317\) | −1.35029 | + | 7.65787i | −0.0758398 | + | 0.430109i | 0.923120 | + | 0.384512i | \(0.125630\pi\) |
−0.998960 | + | 0.0455972i | \(0.985481\pi\) | |||||||
\(318\) | 53.0937i | 2.97734i | ||||||||
\(319\) | 40.8080 | + | 14.8529i | 2.28481 | + | 0.831602i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.5829 | − | 13.8040i | −0.646494 | − | 0.770462i | ||||
\(322\) | 44.2995 | + | 37.1717i | 2.46872 | + | 2.07150i | ||||
\(323\) | 0.398681 | 0.0221832 | ||||||||
\(324\) | 6.89440 | − | 39.1001i | 0.383022 | − | 2.17223i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 19.3157 | + | 16.2078i | 1.06980 | + | 0.897666i | ||||
\(327\) | 0.164725 | + | 0.196312i | 0.00910933 | + | 0.0108561i | ||||
\(328\) | 0.151522 | + | 0.859322i | 0.00836638 | + | 0.0474481i | ||||
\(329\) | 13.3969 | + | 4.87608i | 0.738596 | + | 0.268827i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.31655 | − | 7.46654i | 0.0723642 | − | 0.410398i | −0.927010 | − | 0.375036i | \(-0.877630\pi\) |
0.999375 | − | 0.0353621i | \(-0.0112585\pi\) | |||||||
\(332\) | −19.5364 | + | 33.8381i | −1.07220 | + | 1.85711i | ||||
\(333\) | 7.02007 | − | 2.55510i | 0.384697 | − | 0.140018i | ||||
\(334\) | −4.00387 | − | 6.93491i | −0.219082 | − | 0.379461i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −22.6459 | + | 26.9883i | −1.23543 | + | 1.47233i | ||||
\(337\) | −12.6741 | + | 10.6348i | −0.690403 | + | 0.579317i | −0.919025 | − | 0.394198i | \(-0.871022\pi\) |
0.228622 | + | 0.973515i | \(0.426578\pi\) | |||||||
\(338\) | −9.43629 | + | 7.91799i | −0.513266 | + | 0.430682i | ||||
\(339\) | 4.19341 | + | 11.5213i | 0.227755 | + | 0.625751i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.9363 | − | 24.1384i | −0.754692 | − | 1.30717i | ||||
\(342\) | 0.318201 | + | 1.80460i | 0.0172063 | + | 0.0975819i | ||||
\(343\) | 7.06418 | − | 12.2355i | 0.381430 | − | 0.660656i | ||||
\(344\) | −0.796322 | + | 4.51617i | −0.0429348 | + | 0.243495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −46.9975 | − | 17.1057i | −2.52660 | − | 0.919608i | ||||
\(347\) | 2.63697 | + | 14.9550i | 0.141560 | + | 0.802828i | 0.970065 | + | 0.242846i | \(0.0780808\pi\) |
−0.828505 | + | 0.559982i | \(0.810808\pi\) | |||||||
\(348\) | 57.9586 | − | 10.2197i | 3.10691 | − | 0.547832i | ||||
\(349\) | 10.8191 | + | 9.07828i | 0.579132 | + | 0.485949i | 0.884662 | − | 0.466233i | \(-0.154389\pi\) |
−0.305530 | + | 0.952182i | \(0.598834\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.51161 | − | 20.6380i | 0.400940 | − | 1.10157i | ||||
\(352\) | −25.9145 | −1.38125 | ||||||||
\(353\) | −3.19072 | − | 2.67733i | −0.169825 | − | 0.142500i | 0.553914 | − | 0.832574i | \(-0.313134\pi\) |
−0.723739 | + | 0.690074i | \(0.757578\pi\) | |||||||
\(354\) | 7.10876 | − | 19.5311i | 0.377826 | − | 1.03807i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −27.6104 | − | 10.0494i | −1.46335 | − | 0.532615i | ||||
\(357\) | −7.59627 | − | 4.38571i | −0.402037 | − | 0.232116i | ||||
\(358\) | 3.56196 | − | 20.2009i | 0.188255 | − | 1.06765i | ||||
\(359\) | 3.29679 | − | 5.71021i | 0.173998 | − | 0.301373i | −0.765816 | − | 0.643060i | \(-0.777665\pi\) |
0.939814 | + | 0.341686i | \(0.110998\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.47090 | + | 16.4041i | 0.498469 | + | 0.863373i | ||||
\(362\) | −21.2110 | + | 7.72016i | −1.11482 | + | 0.405762i | ||||
\(363\) | 35.4602 | + | 6.25259i | 1.86118 | + | 0.328176i | ||||
\(364\) | −43.7674 | + | 36.7252i | −2.29404 | + | 1.92493i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −60.0642 | − | 10.5909i | −3.13961 | − | 0.553598i | ||||
\(367\) | 11.9243 | − | 4.34008i | 0.622442 | − | 0.226550i | −0.0114966 | − | 0.999934i | \(-0.503660\pi\) |
0.633938 | + | 0.773384i | \(0.281437\pi\) | |||||||
\(368\) | 24.7383 | + | 42.8480i | 1.28957 | + | 2.23361i | ||||
\(369\) | −0.214355 | − | 0.371274i | −0.0111589 | − | 0.0193278i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.44150 | + | 36.5316i | −0.334426 | + | 1.89663i | ||||
\(372\) | −32.7126 | − | 18.8866i | −1.69607 | − | 0.979226i | ||||
\(373\) | 7.17530 | + | 2.61159i | 0.371523 | + | 0.135223i | 0.521032 | − | 0.853537i | \(-0.325547\pi\) |
−0.149509 | + | 0.988760i | \(0.547769\pi\) | |||||||
\(374\) | −4.09714 | − | 23.2361i | −0.211858 | − | 1.20151i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.7631 | + | 18.2614i | 1.12235 | + | 0.941761i | ||||
\(377\) | 32.5553 | 1.67668 | ||||||||
\(378\) | 13.7888 | − | 37.8844i | 0.709219 | − | 1.94856i | ||||
\(379\) | −27.0838 | −1.39120 | −0.695600 | − | 0.718429i | \(-0.744861\pi\) | ||||
−0.695600 | + | 0.718429i | \(0.744861\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.416060 | + | 0.0733626i | −0.0213154 | + | 0.00375848i | ||||
\(382\) | 2.45424 | + | 13.9187i | 0.125570 | + | 0.712142i | ||||
\(383\) | −9.67664 | − | 3.52201i | −0.494453 | − | 0.179966i | 0.0827443 | − | 0.996571i | \(-0.473632\pi\) |
−0.577198 | + | 0.816605i | \(0.695854\pi\) | |||||||
\(384\) | 20.0107 | − | 11.5532i | 1.02117 | − | 0.589572i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −32.0638 | + | 55.5361i | −1.63200 | + | 2.82671i | ||||
\(387\) | −0.391245 | − | 2.21886i | −0.0198881 | − | 0.112791i | ||||
\(388\) | −21.0253 | − | 36.4169i | −1.06740 | − | 1.84879i | ||||
\(389\) | −3.89780 | + | 1.41868i | −0.197626 | + | 0.0719302i | −0.438937 | − | 0.898518i | \(-0.644645\pi\) |
0.241311 | + | 0.970448i | \(0.422423\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.43629 | + | 7.91799i | −0.477214 | + | 0.400430i | ||||
\(392\) | −11.1755 | + | 9.37732i | −0.564446 | + | 0.473626i | ||||
\(393\) | −10.0829 | + | 12.0163i | −0.508615 | + | 0.606144i | ||||
\(394\) | −11.6163 | + | 4.22800i | −0.585222 | + | 0.213004i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 70.1177 | − | 25.5208i | 3.52355 | − | 1.28247i | ||||
\(397\) | −11.0530 | + | 19.1444i | −0.554736 | + | 0.960831i | 0.443188 | + | 0.896429i | \(0.353847\pi\) |
−0.997924 | + | 0.0644021i | \(0.979486\pi\) | |||||||
\(398\) | −7.63387 | + | 43.2939i | −0.382652 | + | 2.17012i | ||||
\(399\) | 1.28028i | 0.0640942i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.92855 | − | 16.6086i | −0.146245 | − | 0.829395i | −0.966359 | − | 0.257196i | \(-0.917201\pi\) |
0.820115 | − | 0.572199i | \(-0.193910\pi\) | |||||||
\(402\) | 20.7754 | + | 24.7592i | 1.03618 | + | 1.23488i | ||||
\(403\) | −16.0064 | − | 13.4310i | −0.797335 | − | 0.669044i | ||||
\(404\) | −10.2909 | −0.511989 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 59.7606 | 2.96587 | ||||||||
\(407\) | 10.7554 | + | 9.02482i | 0.533124 | + | 0.447344i | ||||
\(408\) | −11.2353 | − | 13.3897i | −0.556230 | − | 0.662889i | ||||
\(409\) | −6.09199 | − | 34.5494i | −0.301229 | − | 1.70836i | −0.640743 | − | 0.767755i | \(-0.721374\pi\) |
0.339514 | − | 0.940601i | \(-0.389737\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 21.4855i | 1.05980i | ||||||||
\(412\) | 14.2777 | − | 80.9726i | 0.703410 | − | 3.98923i | ||||
\(413\) | 7.26083 | − | 12.5761i | 0.357282 | − | 0.618831i | ||||
\(414\) | −43.3717 | − | 36.3932i | −2.13160 | − | 1.78863i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −18.2554 | + | 6.64441i | −0.895043 | + | 0.325769i | ||||
\(417\) | −20.6336 | + | 24.5901i | −1.01043 | + | 1.20418i | ||||
\(418\) | −2.63816 | + | 2.21368i | −0.129036 | + | 0.108274i | ||||
\(419\) | 12.7665 | − | 10.7124i | 0.623685 | − | 0.523334i | −0.275275 | − | 0.961366i | \(-0.588769\pi\) |
0.898959 | + | 0.438032i | \(0.144324\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.7841 | − | 9.38463i | 1.25664 | − | 0.457379i | 0.373998 | − | 0.927429i | \(-0.377987\pi\) |
0.882639 | + | 0.470051i | \(0.155764\pi\) | |||||||
\(422\) | 14.5103 | + | 25.1325i | 0.706349 | + | 1.22343i | ||||
\(423\) | −13.1163 | − | 4.77396i | −0.637738 | − | 0.232118i | ||||
\(424\) | −36.9602 | + | 64.0170i | −1.79495 | + | 3.10894i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 18.6172 | − | 10.7487i | 0.902007 | − | 0.520774i | ||||
\(427\) | −40.0428 | − | 14.5744i | −1.93781 | − | 0.705304i | ||||
\(428\) | −7.96972 | − | 45.1985i | −0.385231 | − | 2.18475i | ||||
\(429\) | 40.6489 | − | 7.16750i | 1.96255 | − | 0.346050i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.9436 | −0.719806 | −0.359903 | − | 0.932990i | \(-0.617190\pi\) | ||||
−0.359903 | + | 0.932990i | \(0.617190\pi\) | |||||||
\(432\) | 22.1716 | − | 26.4231i | 1.06673 | − | 1.27128i | ||||
\(433\) | −23.3919 | −1.12414 | −0.562071 | − | 0.827089i | \(-0.689995\pi\) | ||||
−0.562071 | + | 0.827089i | \(0.689995\pi\) | |||||||
\(434\) | −29.3824 | − | 24.6547i | −1.41040 | − | 1.18347i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.113341 | + | 0.642788i | 0.00542804 | + | 0.0307839i | ||||
\(437\) | 1.68954 | + | 0.614942i | 0.0808217 | + | 0.0294167i | ||||
\(438\) | 0.860967 | + | 0.497079i | 0.0411386 | + | 0.0237514i | ||||
\(439\) | −4.55959 | + | 25.8587i | −0.217617 | + | 1.23417i | 0.658689 | + | 0.752415i | \(0.271111\pi\) |
−0.876306 | + | 0.481754i | \(0.840000\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.58378 | − | 6.20729i | 0.170656 | − | 0.295585i | ||||
\(442\) | −8.84389 | − | 15.3181i | −0.420661 | − | 0.728606i | ||||
\(443\) | 29.8251 | − | 10.8554i | 1.41703 | − | 0.515757i | 0.483846 | − | 0.875153i | \(-0.339239\pi\) |
0.933185 | + | 0.359396i | \(0.117017\pi\) | |||||||
\(444\) | 18.7383 | + | 3.30407i | 0.889280 | + | 0.156804i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.854570 | − | 0.717070i | 0.0404651 | − | 0.0339542i | ||||
\(447\) | −8.15064 | − | 1.43718i | −0.385512 | − | 0.0679762i | ||||
\(448\) | 4.71688 | − | 1.71680i | 0.222852 | − | 0.0811114i | ||||
\(449\) | 9.23695 | + | 15.9989i | 0.435919 | + | 0.755033i | 0.997370 | − | 0.0724765i | \(-0.0230902\pi\) |
−0.561452 | + | 0.827510i | \(0.689757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.402856 | − | 0.697767i | 0.0189697 | − | 0.0328566i | ||||
\(452\) | −5.42262 | + | 30.7532i | −0.255059 | + | 1.44651i | ||||
\(453\) | 8.39440 | + | 4.84651i | 0.394403 | + | 0.227709i | ||||
\(454\) | −12.6420 | − | 4.60132i | −0.593320 | − | 0.215951i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.872578 | + | 2.39739i | −0.0408622 | + | 0.112268i | ||||
\(457\) | −8.18732 | − | 6.86998i | −0.382987 | − | 0.321364i | 0.430887 | − | 0.902406i | \(-0.358201\pi\) |
−0.813874 | + | 0.581042i | \(0.802645\pi\) | |||||||
\(458\) | −0.199340 | −0.00931457 | ||||||||
\(459\) | 7.43717 | + | 4.29385i | 0.347137 | + | 0.200420i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.1689 | + | 17.7628i | 0.985934 | + | 0.827297i | 0.984974 | − | 0.172703i | \(-0.0552500\pi\) |
0.000959987 | 1.00000i | \(0.499694\pi\) | ||||||||
\(462\) | 74.6177 | − | 13.1571i | 3.47153 | − | 0.612125i | ||||
\(463\) | 0.800660 | + | 4.54077i | 0.0372098 | + | 0.211027i | 0.997744 | − | 0.0671350i | \(-0.0213858\pi\) |
−0.960534 | + | 0.278162i | \(0.910275\pi\) | |||||||
\(464\) | 48.0458 | + | 17.4872i | 2.23047 | + | 0.811825i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.164725 | + | 0.934204i | −0.00763075 | + | 0.0432762i | ||||
\(467\) | −9.77513 | + | 16.9310i | −0.452339 | + | 0.783474i | −0.998531 | − | 0.0541859i | \(-0.982744\pi\) |
0.546192 | + | 0.837660i | \(0.316077\pi\) | |||||||
\(468\) | 42.8508 | − | 35.9561i | 1.98078 | − | 1.66207i | ||||
\(469\) | 11.2909 | + | 19.5563i | 0.521363 | + | 0.903028i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.8555 | + | 32.5727i | 0.546273 | + | 1.50087i | ||||
\(472\) | 22.1676 | − | 18.6008i | 1.02034 | − | 0.856171i | ||||
\(473\) | 3.24376 | − | 2.72183i | 0.149148 | − | 0.125150i | ||||
\(474\) | −27.7327 | + | 33.0505i | −1.27380 | + | 1.51806i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −11.1702 | − | 19.3474i | −0.511987 | − | 0.886788i | ||||
\(477\) | 6.30659 | − | 35.7664i | 0.288759 | − | 1.63763i | ||||
\(478\) | −13.7554 | + | 23.8250i | −0.629156 | + | 1.08973i | ||||
\(479\) | −0.449493 | + | 2.54920i | −0.0205379 | + | 0.116476i | −0.993353 | − | 0.115106i | \(-0.963279\pi\) |
0.972815 | + | 0.231582i | \(0.0743902\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.89053 | + | 3.59986i | 0.450969 | + | 0.164139i | ||||
\(482\) | −11.7604 | − | 66.6967i | −0.535672 | − | 3.03795i | ||||
\(483\) | −25.4270 | − | 30.3027i | −1.15697 | − | 1.37882i | ||||
\(484\) | 70.2534 | + | 58.9496i | 3.19333 | + | 2.67953i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −13.5000 | + | 37.0909i | −0.612372 | + | 1.68248i | ||||
\(487\) | −40.7870 | −1.84824 | −0.924119 | − | 0.382105i | \(-0.875199\pi\) | ||||
−0.924119 | + | 0.382105i | \(0.875199\pi\) | |||||||
\(488\) | −65.0490 | − | 54.5826i | −2.94463 | − | 2.47084i | ||||
\(489\) | −11.0868 | − | 13.2127i | −0.501361 | − | 0.597499i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.9761 | − | 13.8222i | −1.71384 | − | 0.623786i | −0.716561 | − | 0.697525i | \(-0.754285\pi\) |
−0.997278 | + | 0.0737387i | \(0.976507\pi\) | |||||||
\(492\) | − | 1.09191i | − | 0.0492271i | ||||||
\(493\) | −2.21048 | + | 12.5363i | −0.0995552 | + | 0.564606i | ||||
\(494\) | −1.29086 | + | 2.23583i | −0.0580785 | + | 0.100595i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.4081 | − | 28.4196i | −0.736744 | − | 1.27608i | ||||
\(497\) | 14.1138 | − | 5.13701i | 0.633091 | − | 0.230426i | ||||
\(498\) | 24.9688 | − | 29.7567i | 1.11888 | − | 1.33343i | ||||
\(499\) | −10.2226 | + | 8.57775i | −0.457625 | + | 0.383993i | −0.842256 | − | 0.539077i | \(-0.818773\pi\) |
0.384631 | + | 0.923070i | \(0.374329\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.87346 | + | 5.14728i | 0.0836998 | + | 0.229963i | ||||
\(502\) | −14.2601 | + | 5.19026i | −0.636460 | + | 0.231653i | ||||
\(503\) | 9.02822 | + | 15.6373i | 0.402548 | + | 0.697234i | 0.994033 | − | 0.109082i | \(-0.0347912\pi\) |
−0.591484 | + | 0.806316i | \(0.701458\pi\) | |||||||
\(504\) | 42.9982 | − | 36.0798i | 1.91529 | − | 1.60712i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 18.4773 | − | 104.790i | 0.821416 | − | 4.65848i | ||||
\(507\) | 7.29726 | − | 4.21307i | 0.324083 | − | 0.187109i | ||||
\(508\) | −1.01114 | − | 0.368026i | −0.0448623 | − | 0.0163285i | ||||
\(509\) | 4.18779 | + | 23.7501i | 0.185620 | + | 1.05271i | 0.925156 | + | 0.379588i | \(0.123934\pi\) |
−0.739535 | + | 0.673118i | \(0.764955\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.532089 | + | 0.446476i | 0.0235382 | + | 0.0197509i | ||||
\(512\) | 50.5553 | 2.23425 | ||||||||
\(513\) | − | 1.25347i | − | 0.0553418i | ||||||
\(514\) | −16.0155 | −0.706413 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.96270 | − | 5.39246i | 0.0864029 | − | 0.237390i | ||||
\(517\) | −4.55525 | − | 25.8341i | −0.200340 | − | 1.13618i | ||||
\(518\) | 18.1557 | + | 6.60813i | 0.797716 | + | 0.290345i | ||||
\(519\) | 29.6279 | + | 17.1057i | 1.30052 | + | 0.750857i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 20.6682 | − | 35.7983i | 0.905490 | − | 1.56835i | 0.0852310 | − | 0.996361i | \(-0.472837\pi\) |
0.820259 | − | 0.571993i | \(-0.193829\pi\) | |||||||
\(522\) | −58.5090 | −2.56087 | ||||||||
\(523\) | 3.27332 | + | 5.66955i | 0.143132 | + | 0.247912i | 0.928675 | − | 0.370896i | \(-0.120949\pi\) |
−0.785542 | + | 0.618808i | \(0.787616\pi\) | |||||||
\(524\) | −37.5428 | + | 13.6645i | −1.64007 | + | 0.596935i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.907604 | + | 0.761570i | −0.0395734 | + | 0.0332060i | ||||
\(527\) | 6.25877 | − | 5.25173i | 0.272636 | − | 0.228769i | ||||
\(528\) | 63.8405 | + | 11.2568i | 2.77830 | + | 0.489890i | ||||
\(529\) | −30.5895 | + | 11.1337i | −1.32998 | + | 0.484072i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.10876 | + | 12.3127i | −0.308494 | + | 0.534327i | ||||
\(532\) | −1.63041 | + | 2.82396i | −0.0706875 | + | 0.122434i | ||||
\(533\) | 0.104885 | − | 0.594831i | 0.00454306 | − | 0.0257650i | ||||
\(534\) | 25.2973 | + | 14.6054i | 1.09472 | + | 0.632037i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 7.81403 | + | 44.3155i | 0.337514 | + | 1.91414i | ||||
\(537\) | −4.79901 | + | 13.1852i | −0.207093 | + | 0.568982i | ||||
\(538\) | −3.57919 | − | 3.00330i | −0.154310 | − | 0.129481i | ||||
\(539\) | 13.4706 | 0.580220 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.3560 | −1.30511 | −0.652553 | − | 0.757743i | \(-0.726302\pi\) | ||||
−0.652553 | + | 0.757743i | \(0.726302\pi\) | |||||||
\(542\) | 8.00253 | + | 6.71492i | 0.343738 | + | 0.288430i | ||||
\(543\) | 15.2057 | − | 2.68118i | 0.652541 | − | 0.115061i | ||||
\(544\) | −1.31908 | − | 7.48086i | −0.0565550 | − | 0.320739i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 49.1908 | − | 28.4003i | 2.10517 | − | 1.21542i | ||||
\(547\) | 6.71641 | − | 38.0907i | 0.287173 | − | 1.62864i | −0.410245 | − | 0.911975i | \(-0.634557\pi\) |
0.697418 | − | 0.716664i | \(-0.254332\pi\) | |||||||
\(548\) | −27.3614 | + | 47.3914i | −1.16882 | + | 2.02446i | ||||
\(549\) | 39.2041 | + | 14.2691i | 1.67319 | + | 0.608992i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.74598 | − | 0.635484i | 0.0743811 | − | 0.0270725i | ||||
\(552\) | −26.9604 | − | 74.0731i | −1.14751 | − | 3.15276i | ||||
\(553\) | −23.0915 | + | 19.3761i | −0.981951 | + | 0.823955i | ||||
\(554\) | 0.119271 | − | 0.100080i | 0.00506732 | − | 0.00425199i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −76.8273 | + | 27.9629i | −3.25821 | + | 1.18589i | ||||
\(557\) | −7.43676 | − | 12.8808i | −0.315105 | − | 0.545779i | 0.664354 | − | 0.747418i | \(-0.268707\pi\) |
−0.979460 | + | 0.201639i | \(0.935373\pi\) | |||||||
\(558\) | 28.7670 | + | 24.1384i | 1.21780 | + | 1.02186i | ||||
\(559\) | 1.58718 | − | 2.74908i | 0.0671306 | − | 0.116274i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.1396i | 0.681414i | ||||||||
\(562\) | −14.3944 | − | 5.23913i | −0.607191 | − | 0.220999i | ||||
\(563\) | 5.08677 | + | 28.8485i | 0.214382 | + | 1.21582i | 0.881976 | + | 0.471294i | \(0.156213\pi\) |
−0.667594 | + | 0.744525i | \(0.732676\pi\) | |||||||
\(564\) | −22.8516 | − | 27.2335i | −0.962227 | − | 1.14674i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 21.1557 | 0.889240 | ||||||||
\(567\) | −13.7888 | + | 23.8829i | −0.579075 | + | 1.00299i | ||||
\(568\) | 29.9299 | 1.25583 | ||||||||
\(569\) | −24.4127 | − | 20.4847i | −1.02343 | − | 0.858761i | −0.0333769 | − | 0.999443i | \(-0.510626\pi\) |
−0.990055 | + | 0.140682i | \(0.955071\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.78817 | − | 15.8125i | −0.116681 | − | 0.661733i | −0.985904 | − | 0.167312i | \(-0.946491\pi\) |
0.869223 | − | 0.494421i | \(-0.164620\pi\) | |||||||
\(572\) | 98.7884 | + | 35.9561i | 4.13055 | + | 1.50340i | ||||
\(573\) | − | 9.66782i | − | 0.403879i | ||||||
\(574\) | 0.192533 | − | 1.09191i | 0.00803619 | − | 0.0455755i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −4.61809 | + | 1.68085i | −0.192420 | + | 0.0700353i | ||||
\(577\) | 1.13429 | + | 1.96464i | 0.0472209 | + | 0.0817890i | 0.888670 | − | 0.458548i | \(-0.151630\pi\) |
−0.841449 | + | 0.540337i | \(0.818297\pi\) | |||||||
\(578\) | −33.9504 | + | 12.3569i | −1.41215 | + | 0.513981i | ||||
\(579\) | 28.1964 | − | 33.6032i | 1.17180 | − | 1.39650i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.7902 | − | 17.4451i | 0.862524 | − | 0.723744i | ||||
\(582\) | 14.2981 | + | 39.2838i | 0.592677 | + | 1.62837i | ||||
\(583\) | 64.1396 | − | 23.3449i | 2.65639 | − | 0.966847i | ||||
\(584\) | 0.692066 | + | 1.19869i | 0.0286379 | + | 0.0496023i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.2087 | − | 26.3423i | 0.628267 | − | 1.08819i | ||||
\(587\) | −5.78564 | + | 32.8120i | −0.238799 | + | 1.35430i | 0.595664 | + | 0.803234i | \(0.296889\pi\) |
−0.834463 | + | 0.551064i | \(0.814222\pi\) | |||||||
\(588\) | 15.8097 | − | 9.12776i | 0.651983 | − | 0.376422i | ||||
\(589\) | −1.12061 | − | 0.407870i | −0.0461741 | − | 0.0168060i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.32753 | − | 1.46837i | 0.342549 | − | 0.0604006i | ||||
\(592\) | 12.6630 | + | 10.6255i | 0.520445 | + | 0.436705i | ||||
\(593\) | −24.7793 | −1.01756 | −0.508782 | − | 0.860895i | \(-0.669904\pi\) | ||||
−0.508782 | + | 0.860895i | \(0.669904\pi\) | |||||||
\(594\) | −73.0549 | + | 12.8816i | −2.99748 | + | 0.528536i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −16.1480 | − | 13.5497i | −0.661446 | − | 0.555019i | ||||
\(597\) | 10.2851 | − | 28.2581i | 0.420941 | − | 1.15653i | ||||
\(598\) | −13.8516 | − | 78.5565i | −0.566435 | − | 3.21241i | ||||
\(599\) | −35.9368 | − | 13.0799i | −1.46834 | − | 0.534431i | −0.520688 | − | 0.853747i | \(-0.674324\pi\) |
−0.947648 | + | 0.319316i | \(0.896547\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.80747 | − | 44.2783i | 0.318473 | − | 1.80615i | −0.233575 | − | 0.972339i | \(-0.575042\pi\) |
0.552048 | − | 0.833812i | \(-0.313847\pi\) | |||||||
\(602\) | 2.91353 | − | 5.04639i | 0.118747 | − | 0.205675i | ||||
\(603\) | −11.0544 | − | 19.1467i | −0.450169 | − | 0.779716i | ||||
\(604\) | 12.3439 | + | 21.3802i | 0.502266 | + | 0.869950i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 10.0753 | + | 1.77655i | 0.409282 | + | 0.0721675i | ||||
\(607\) | 12.1374 | − | 10.1845i | 0.492644 | − | 0.413377i | −0.362329 | − | 0.932050i | \(-0.618018\pi\) |
0.854973 | + | 0.518673i | \(0.173574\pi\) | |||||||
\(608\) | −0.849356 | + | 0.712694i | −0.0344459 | + | 0.0289036i | ||||
\(609\) | −40.2576 | − | 7.09851i | −1.63132 | − | 0.287646i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.83275 | − | 17.0308i | −0.397790 | − | 0.688993i | ||||
\(612\) | 10.9363 | + | 18.9422i | 0.442073 | + | 0.765693i | ||||
\(613\) | −10.4076 | + | 18.0265i | −0.420359 | + | 0.728083i | −0.995974 | − | 0.0896372i | \(-0.971429\pi\) |
0.575615 | + | 0.817721i | \(0.304763\pi\) | |||||||
\(614\) | 4.74035 | − | 26.8839i | 0.191305 | − | 1.08494i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 99.1285 | + | 36.0798i | 3.99400 | + | 1.45370i | ||||
\(617\) | −5.19728 | − | 29.4752i | −0.209235 | − | 1.18663i | −0.890635 | − | 0.454718i | \(-0.849740\pi\) |
0.681401 | − | 0.731911i | \(-0.261371\pi\) | |||||||
\(618\) | −27.9572 | + | 76.8119i | −1.12460 | + | 3.08983i | ||||
\(619\) | −2.69775 | − | 2.26368i | −0.108432 | − | 0.0909850i | 0.586960 | − | 0.809616i | \(-0.300325\pi\) |
−0.695392 | + | 0.718631i | \(0.744769\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.8944 | + | 29.6680i | 0.998978 | + | 1.19054i | ||||
\(622\) | 39.1165 | 1.56843 | ||||||||
\(623\) | 15.6340 | + | 13.1185i | 0.626364 | + | 0.525582i | ||||
\(624\) | 47.8585 | − | 8.43874i | 1.91587 | − | 0.337820i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.0175 | + | 4.01006i | 0.440349 | + | 0.160274i | ||||
\(627\) | 2.04013 | − | 1.17787i | 0.0814751 | − | 0.0470397i | ||||
\(628\) | −15.3307 | + | 86.9447i | −0.611761 | + | 3.46947i | ||||
\(629\) | −2.05778 | + | 3.56418i | −0.0820491 | + | 0.142113i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.53730 | − | 16.5191i | −0.379674 | − | 0.657615i | 0.611341 | − | 0.791368i | \(-0.290631\pi\) |
−0.991015 | + | 0.133753i | \(0.957297\pi\) | |||||||
\(632\) | −56.4458 | + | 20.5446i | −2.24529 | + | 0.817221i | ||||
\(633\) | −6.78952 | − | 18.6540i | −0.269859 | − | 0.741432i | ||||
\(634\) | 15.0831 | − | 12.6562i | 0.599025 | − | 0.502642i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 59.4586 | − | 70.8600i | 2.35769 | − | 2.80978i | ||||
\(637\) | 9.48932 | − | 3.45383i | 0.375981 | − | 0.136846i | ||||
\(638\) | −54.9805 | − | 95.2289i | −2.17670 | − | 3.77015i | ||||
\(639\) | −13.8182 | + | 5.02941i | −0.546640 | + | 0.198961i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 1.60711 | − | 9.11435i | 0.0634769 | − | 0.359995i | −0.936480 | − | 0.350721i | \(-0.885937\pi\) |
0.999957 | − | 0.00927459i | \(-0.00295224\pi\) | |||||||
\(642\) | 45.6277i | 1.80078i | ||||||||
\(643\) | −26.8542 | − | 9.77411i | −1.05902 | − | 0.385453i | −0.246963 | − | 0.969025i | \(-0.579433\pi\) |
−0.812062 | + | 0.583571i | \(0.801655\pi\) | |||||||
\(644\) | −17.4953 | − | 99.2205i | −0.689410 | − | 3.90984i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.773318 | − | 0.648891i | −0.0304258 | − | 0.0255303i | ||||
\(647\) | −21.6928 | −0.852833 | −0.426417 | − | 0.904527i | \(-0.640224\pi\) | ||||
−0.426417 | + | 0.904527i | \(0.640224\pi\) | |||||||
\(648\) | −42.0977 | + | 35.3241i | −1.65375 | + | 1.38766i | ||||
\(649\) | −26.7202 | −1.04886 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.8648 | + | 20.0987i | 0.660985 | + | 0.787731i | ||||
\(652\) | −7.62836 | − | 43.2626i | −0.298749 | − | 1.69429i | ||||
\(653\) | −29.0574 | − | 10.5760i | −1.13710 | − | 0.413872i | −0.296237 | − | 0.955115i | \(-0.595732\pi\) |
−0.840866 | + | 0.541243i | \(0.817954\pi\) | |||||||
\(654\) | − | 0.648891i | − | 0.0253737i | ||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.474308 | − | 0.821525i | 0.0185186 | − | 0.0320752i | ||||
\(657\) | −0.520945 | − | 0.437124i | −0.0203240 | − | 0.0170538i | ||||
\(658\) | −18.0496 | − | 31.2629i | −0.703648 | − | 1.21875i | ||||
\(659\) | −35.7581 | + | 13.0149i | −1.39294 | + | 0.506987i | −0.926074 | − | 0.377343i | \(-0.876838\pi\) |
−0.466862 | + | 0.884330i | \(0.654616\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.7271 | + | 17.3921i | −0.806193 | + | 0.676476i | −0.949696 | − | 0.313174i | \(-0.898608\pi\) |
0.143503 | + | 0.989650i | \(0.454163\pi\) | |||||||
\(662\) | −14.7062 | + | 12.3400i | −0.571573 | + | 0.479607i | ||||
\(663\) | 4.13816 | + | 11.3695i | 0.160713 | + | 0.441554i | ||||
\(664\) | 50.8205 | − | 18.4971i | 1.97222 | − | 0.717828i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −17.7754 | − | 6.46973i | −0.688784 | − | 0.250697i | ||||
\(667\) | −28.7041 | + | 49.7170i | −1.11143 | + | 1.92505i | ||||
\(668\) | −2.42262 | + | 13.7394i | −0.0937339 | + | 0.531591i | ||||
\(669\) | −0.660855 | + | 0.381545i | −0.0255501 | + | 0.0147514i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.6155 | + | 77.2171i | 0.525619 | + | 2.98093i | ||||
\(672\) | 24.0232 | − | 4.23594i | 0.926716 | − | 0.163405i | ||||
\(673\) | 23.6097 | + | 19.8109i | 0.910087 | + | 0.763653i | 0.972135 | − | 0.234420i | \(-0.0753190\pi\) |
−0.0620488 | + | 0.998073i | \(0.519763\pi\) | |||||||
\(674\) | 41.8931 | 1.61366 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.4611 | 0.825427 | ||||||||
\(677\) | −35.7178 | − | 29.9708i | −1.37275 | − | 1.15187i | −0.971810 | − | 0.235766i | \(-0.924240\pi\) |
−0.400937 | − | 0.916105i | \(-0.631315\pi\) | |||||||
\(678\) | 10.6181 | − | 29.1730i | 0.407785 | − | 1.12038i | ||||
\(679\) | 5.07192 | + | 28.7643i | 0.194642 | + | 1.10387i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.96972 | + | 4.60132i | 0.305400 | + | 0.176323i | ||||
\(682\) | −12.2554 | + | 69.5036i | −0.469282 | + | 2.66143i | ||||
\(683\) | −20.7224 | + | 35.8923i | −0.792921 | + | 1.37338i | 0.131231 | + | 0.991352i | \(0.458107\pi\) |
−0.924151 | + | 0.382027i | \(0.875226\pi\) | |||||||
\(684\) | 1.59627 | − | 2.76481i | 0.0610348 | − | 0.105715i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −33.6168 | + | 12.2355i | −1.28350 | + | 0.467154i | ||||
\(687\) | 0.134285 | + | 0.0236781i | 0.00512330 | + | 0.000903377i | ||||
\(688\) | 3.81908 | − | 3.20459i | 0.145601 | − | 0.122174i | ||||
\(689\) | 39.1973 | − | 32.8905i | 1.49330 | − | 1.25303i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.99185 | + | 1.81688i | −0.189899 | + | 0.0691175i | −0.435219 | − | 0.900325i | \(-0.643329\pi\) |
0.245320 | + | 0.969442i | \(0.421107\pi\) | |||||||
\(692\) | 43.5676 | + | 75.4614i | 1.65619 | + | 2.86861i | ||||
\(693\) | −51.8289 | −1.96882 | ||||||||
\(694\) | 19.2258 | − | 33.3001i | 0.729802 | − | 1.26405i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −70.5464 | − | 40.7300i | −2.67406 | − | 1.54387i | ||||
\(697\) | 0.221934 | + | 0.0807773i | 0.00840634 | + | 0.00305966i | ||||
\(698\) | −6.20991 | − | 35.2182i | −0.235049 | − | 1.33303i | ||||
\(699\) | 0.221934 | − | 0.609758i | 0.00839431 | − | 0.0230632i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 9.66962 | 0.365216 | 0.182608 | − | 0.983186i | \(-0.441546\pi\) | ||||
0.182608 | + | 0.983186i | \(0.441546\pi\) | |||||||
\(702\) | −48.1605 | + | 27.8055i | −1.81770 | + | 1.04945i | ||||
\(703\) | 0.600710 | 0.0226562 | ||||||||
\(704\) | −7.07532 | − | 5.93690i | −0.266661 | − | 0.223755i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.83140 | + | 10.3864i | 0.0689258 | + | 0.390898i | ||||
\(707\) | 6.71688 | + | 2.44474i | 0.252614 | + | 0.0919441i | ||||
\(708\) | −31.3601 | + | 18.1058i | −1.17858 | + | 0.680456i | ||||
\(709\) | 4.07057 | − | 23.0854i | 0.152874 | − | 0.866989i | −0.807830 | − | 0.589415i | \(-0.799358\pi\) |
0.960704 | − | 0.277575i | \(-0.0895305\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 22.6079 | − | 18.9703i | 0.847862 | − | 0.711440i | ||||
\(712\) | 20.3346 | + | 35.2205i | 0.762070 | + | 1.31994i | ||||
\(713\) | 34.6241 | − | 12.6021i | 1.29668 | − | 0.471954i | ||||
\(714\) | 7.59627 | + | 20.8706i | 0.284283 | + | 0.781061i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −27.3764 | + | 22.9716i | −1.02311 | + | 0.858488i | ||||
\(717\) | 12.0963 | − | 14.4158i | 0.451743 | − | 0.538367i | ||||
\(718\) | −15.6887 | + | 5.71021i | −0.585496 | + | 0.213103i | ||||
\(719\) | 13.1133 | + | 22.7130i | 0.489045 | + | 0.847051i | 0.999921 | − | 0.0126038i | \(-0.00401201\pi\) |
−0.510875 | + | 0.859655i | \(0.670679\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.5553 | + | 49.4592i | −1.06346 | + | 1.84196i | ||||
\(722\) | 8.32857 | − | 47.2337i | 0.309957 | − | 1.75786i | ||||
\(723\) | 46.3270i | 1.72292i | ||||||||
\(724\) | 36.9543 | + | 13.4503i | 1.37340 | + | 0.499875i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −58.6052 | − | 69.8430i | −2.17504 | − | 2.59212i | ||||
\(727\) | 14.6061 | + | 12.2559i | 0.541709 | + | 0.454548i | 0.872122 | − | 0.489289i | \(-0.162744\pi\) |
−0.330413 | + | 0.943836i | \(0.607188\pi\) | |||||||
\(728\) | 79.0815 | 2.93096 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.950837 | + | 0.797847i | 0.0351680 | + | 0.0295094i | ||||
\(732\) | 68.3025 | + | 81.3998i | 2.52453 | + | 3.00862i | ||||
\(733\) | −1.17128 | − | 6.64268i | −0.0432624 | − | 0.245353i | 0.955506 | − | 0.294972i | \(-0.0953104\pi\) |
−0.998768 | + | 0.0496191i | \(0.984199\pi\) | |||||||
\(734\) | −30.1933 | − | 10.9895i | −1.11446 | − | 0.405629i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.94878 | − | 33.7372i | 0.219275 | − | 1.24357i | ||||
\(737\) | 20.7754 | − | 35.9841i | 0.765273 | − | 1.32549i | ||||
\(738\) | −0.188501 | + | 1.06904i | −0.00693881 | + | 0.0393519i | ||||
\(739\) | 18.0069 | + | 31.1888i | 0.662393 | + | 1.14730i | 0.979985 | + | 0.199071i | \(0.0637925\pi\) |
−0.317592 | + | 0.948228i | \(0.602874\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.13516 | − | 1.35283i | 0.0417012 | − | 0.0496976i | ||||
\(742\) | 71.9532 | − | 60.3759i | 2.64148 | − | 2.21647i | ||||
\(743\) | −27.4709 | + | 23.0508i | −1.00781 | + | 0.845653i | −0.988047 | − | 0.154152i | \(-0.950735\pi\) |
−0.0197626 | + | 0.999805i | \(0.506291\pi\) | |||||||
\(744\) | 17.8819 | + | 49.1301i | 0.655583 | + | 1.80120i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −9.66725 | − | 16.7442i | −0.353943 | − | 0.613048i | ||||
\(747\) | −20.3548 | + | 17.0797i | −0.744743 | + | 0.624913i | ||||
\(748\) | −20.5535 | + | 35.5997i | −0.751510 | + | 1.30165i | ||||
\(749\) | −5.53571 | + | 31.3946i | −0.202270 | + | 1.14713i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 45.0899 | + | 16.4114i | 1.64535 | + | 0.598860i | 0.987963 | − | 0.154689i | \(-0.0494376\pi\) |
0.657392 | + | 0.753549i | \(0.271660\pi\) | |||||||
\(752\) | −5.36319 | − | 30.4162i | −0.195575 | − | 1.10916i | ||||
\(753\) | 10.2228 | − | 1.80256i | 0.372540 | − | 0.0656888i | ||||
\(754\) | −63.1473 | − | 52.9869i | −2.29969 | − | 1.92967i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −60.8289 | + | 35.1196i | −2.21233 | + | 1.27729i | ||||
\(757\) | −24.2172 | −0.880189 | −0.440094 | − | 0.897952i | \(-0.645055\pi\) | ||||
−0.440094 | + | 0.897952i | \(0.645055\pi\) | |||||||
\(758\) | 52.5342 | + | 44.0814i | 1.90813 | + | 1.60111i | ||||
\(759\) | −24.8944 | + | 68.3968i | −0.903609 | + | 2.48265i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.1391 | + | 15.3374i | 1.52754 | + | 0.555979i | 0.963018 | − | 0.269438i | \(-0.0868379\pi\) |
0.564523 | + | 0.825417i | \(0.309060\pi\) | |||||||
\(762\) | 0.926433 | + | 0.534876i | 0.0335611 | + | 0.0193765i | ||||
\(763\) | 0.0787257 | − | 0.446476i | 0.00285006 | − | 0.0161635i | ||||
\(764\) | 12.3118 | − | 21.3247i | 0.445425 | − | 0.771499i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.0373 | + | 22.5813i | 0.471057 | + | 0.815895i | ||||
\(767\) | −18.8229 | + | 6.85099i | −0.679657 | + | 0.247375i | ||||
\(768\) | −52.0301 | − | 9.17431i | −1.87747 | − | 0.331049i | ||||
\(769\) | 0.682733 | − | 0.572881i | 0.0246200 | − | 0.0206586i | −0.630395 | − | 0.776275i | \(-0.717107\pi\) |
0.655015 | + | 0.755616i | \(0.272662\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.7888 | + | 1.90236i | 0.388549 | + | 0.0685117i | ||||
\(772\) | 104.987 | − | 38.2121i | 3.77856 | − | 1.37528i | ||||
\(773\) | −15.3701 | − | 26.6217i | − |