Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(49,675)]
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, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.u (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\Q(\zeta_{36})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - x^{6} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 124.2 | ||
Root | \(-0.342020 - 0.939693i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 675.124 |
Dual form | 675.2.u.a.49.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62760 | − | 1.93969i | 1.15088 | − | 1.37157i | 0.234087 | − | 0.972216i | \(-0.424790\pi\) |
0.916797 | − | 0.399354i | \(-0.130766\pi\) | |||||||
\(3\) | 1.32683 | − | 1.11334i | 0.766044 | − | 0.642788i | ||||
\(4\) | −0.766044 | − | 4.34445i | −0.383022 | − | 2.17223i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | − | 4.38571i | − | 1.79046i | ||||||
\(7\) | 3.01763 | + | 0.532089i | 1.14056 | + | 0.201111i | 0.711849 | − | 0.702333i | \(-0.247858\pi\) |
0.428707 | + | 0.903444i | \(0.358969\pi\) | |||||||
\(8\) | −5.28801 | − | 3.05303i | −1.86959 | − | 1.07941i | ||||
\(9\) | 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 | \(0.712277\pi\) | |||||||
\(12\) | −5.85327 | − | 4.91147i | −1.68969 | − | 1.41782i | ||||
\(13\) | 2.71686 | + | 3.23783i | 0.753521 | + | 0.898011i | 0.997420 | − | 0.0717893i | \(-0.0228709\pi\) |
−0.243899 | + | 0.969801i | \(0.578426\pi\) | |||||||
\(14\) | 5.94356 | − | 4.98724i | 1.58848 | − | 1.33290i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −6.23783 | + | 2.27038i | −1.55946 | + | 0.567596i | ||||
\(17\) | 1.43128 | − | 0.826352i | 0.347137 | − | 0.200420i | −0.316286 | − | 0.948664i | \(-0.602436\pi\) |
0.663424 | + | 0.748244i | \(0.269103\pi\) | |||||||
\(18\) | −4.88279 | − | 5.81908i | −1.15088 | − | 1.37157i | ||||
\(19\) | 0.120615 | − | 0.208911i | 0.0276709 | − | 0.0479274i | −0.851858 | − | 0.523772i | \(-0.824524\pi\) |
0.879529 | + | 0.475845i | \(0.157858\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.59627 | − | 2.65366i | 1.00299 | − | 0.579075i | ||||
\(22\) | −4.88279 | + | 13.4153i | −1.04101 | + | 2.86016i | ||||
\(23\) | −7.34013 | + | 1.29426i | −1.53052 | + | 0.269872i | −0.874559 | − | 0.484920i | \(-0.838849\pi\) |
−0.655964 | + | 0.754792i | \(0.727738\pi\) | |||||||
\(24\) | −10.4153 | + | 1.83651i | −2.12602 | + | 0.374875i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 10.7023 | 2.09890 | ||||||||
\(27\) | −2.59808 | − | 4.50000i | −0.500000 | − | 0.866025i | ||||
\(28\) | − | 13.5175i | − | 2.55458i | ||||||
\(29\) | 5.90033 | + | 4.95096i | 1.09566 | + | 0.919371i | 0.997126 | − | 0.0757623i | \(-0.0241390\pi\) |
0.0985378 | + | 0.995133i | \(0.468583\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.858441 | + | 4.86846i | 0.154181 | + | 0.874401i | 0.959531 | + | 0.281602i | \(0.0908659\pi\) |
−0.805351 | + | 0.592799i | \(0.798023\pi\) | |||||||
\(32\) | −1.57202 | + | 4.31908i | −0.277896 | + | 0.763512i | ||||
\(33\) | −4.88279 | + | 8.45723i | −0.849984 | + | 1.47222i | ||||
\(34\) | 0.726682 | − | 4.12122i | 0.124625 | − | 0.706783i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −13.2344 | −2.20574 | ||||||||
\(37\) | 2.15658 | − | 1.24510i | 0.354539 | − | 0.204693i | −0.312144 | − | 0.950035i | \(-0.601047\pi\) |
0.666683 | + | 0.745342i | \(0.267714\pi\) | |||||||
\(38\) | −0.208911 | − | 0.573978i | −0.0338898 | − | 0.0931115i | ||||
\(39\) | 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 | \(0.281330\pi\) | |||||||
\(42\) | 2.33359 | − | 13.2344i | 0.360080 | − | 2.04212i | ||||
\(43\) | 0.256867 | + | 0.705737i | 0.0391719 | + | 0.107624i | 0.957737 | − | 0.287647i | \(-0.0928730\pi\) |
−0.918565 | + | 0.395271i | \(0.870651\pi\) | |||||||
\(44\) | 12.4363 | + | 21.5403i | 1.87484 | + | 3.24732i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.43629 | + | 16.3441i | −1.39130 | + | 2.40981i | ||||
\(47\) | −4.58202 | − | 0.807934i | −0.668356 | − | 0.117849i | −0.170833 | − | 0.985300i | \(-0.554646\pi\) |
−0.497523 | + | 0.867451i | \(0.665757\pi\) | |||||||
\(48\) | −5.74881 | + | 9.95723i | −0.829769 | + | 1.43720i | ||||
\(49\) | 2.24510 | + | 0.817150i | 0.320729 | + | 0.116736i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.979055 | − | 2.68993i | 0.137095 | − | 0.376666i | ||||
\(52\) | 11.9854 | − | 14.2836i | 1.66207 | − | 1.98078i | ||||
\(53\) | 12.1061i | 1.66290i | 0.555602 | + | 0.831448i | \(0.312488\pi\) | ||||
−0.555602 | + | 0.831448i | \(0.687512\pi\) | |||||||
\(54\) | −12.9572 | − | 2.28471i | −1.76326 | − | 0.310910i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −14.3327 | − | 12.0266i | −1.91529 | − | 1.60712i | ||||
\(57\) | −0.0725540 | − | 0.411474i | −0.00961001 | − | 0.0545011i | ||||
\(58\) | 19.2067 | − | 3.38666i | 2.52196 | − | 0.444690i | ||||
\(59\) | −4.45336 | − | 1.62089i | −0.579779 | − | 0.211022i | 0.0354493 | − | 0.999371i | \(-0.488714\pi\) |
−0.615228 | + | 0.788349i | \(0.710936\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.41488 | − | 13.6955i | 0.309193 | − | 1.75352i | −0.293885 | − | 0.955841i | \(-0.594948\pi\) |
0.603078 | − | 0.797682i | \(-0.293941\pi\) | |||||||
\(62\) | 10.8405 | + | 6.25877i | 1.37675 | + | 0.794865i | ||||
\(63\) | 3.14403 | − | 8.63816i | 0.396111 | − | 1.08831i | ||||
\(64\) | −0.819078 | − | 1.41868i | −0.102385 | − | 0.177336i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 8.45723 | + | 23.2361i | 1.04101 | + | 2.86016i | ||||
\(67\) | −4.73708 | − | 5.64543i | −0.578726 | − | 0.689699i | 0.394671 | − | 0.918822i | \(-0.370859\pi\) |
−0.973397 | + | 0.229123i | \(0.926414\pi\) | |||||||
\(68\) | −4.68647 | − | 5.58512i | −0.568318 | − | 0.677296i | ||||
\(69\) | −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 | \(0.739392\pi\) | |||||||
\(72\) | −11.7747 | + | 14.0326i | −1.38766 | + | 1.65375i | ||||
\(73\) | 0.196312 | + | 0.113341i | 0.0229766 | + | 0.0132655i | 0.511444 | − | 0.859316i | \(-0.329111\pi\) |
−0.488468 | + | 0.872582i | \(0.662444\pi\) | |||||||
\(74\) | 1.09492 | − | 6.20961i | 0.127282 | − | 0.721853i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00000 | − | 0.363970i | −0.114708 | − | 0.0417502i | ||||
\(77\) | −17.0138 | + | 3.00000i | −1.93891 | + | 0.341882i | ||||
\(78\) | 14.2002 | − | 11.9153i | 1.60785 | − | 1.34915i | ||||
\(79\) | 7.53596 | + | 6.32342i | 0.847862 | + | 0.711440i | 0.959318 | − | 0.282329i | \(-0.0911070\pi\) |
−0.111456 | + | 0.993769i | \(0.535551\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.45723 | − | 3.07818i | −0.939693 | − | 0.342020i | ||||
\(82\) | 0.361844i | 0.0399590i | ||||||||
\(83\) | 5.69323 | − | 6.78493i | 0.624913 | − | 0.744743i | −0.356994 | − | 0.934107i | \(-0.616198\pi\) |
0.981907 | + | 0.189364i | \(0.0606426\pi\) | |||||||
\(84\) | −15.0496 | − | 17.9355i | −1.64205 | − | 1.95692i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.78699 | + | 0.650411i | 0.192696 | + | 0.0701356i | ||||
\(87\) | 13.3408 | 1.43029 | ||||||||
\(88\) | 33.9039 | + | 5.97818i | 3.61417 | + | 0.637276i | ||||
\(89\) | 3.33022 | − | 5.76811i | 0.353003 | − | 0.611419i | −0.633771 | − | 0.773521i | \(-0.718494\pi\) |
0.986774 | + | 0.162102i | \(0.0518273\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.47565 | + | 11.2162i | 0.678833 | + | 1.17577i | ||||
\(92\) | 11.2457 | + | 30.8974i | 1.17245 | + | 3.22128i | ||||
\(93\) | 6.55926 | + | 5.50387i | 0.680163 | + | 0.570725i | ||||
\(94\) | −9.02481 | + | 7.57272i | −0.930839 | + | 0.781066i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.72281 | + | 7.48086i | 0.277896 | + | 0.763512i | ||||
\(97\) | −3.26017 | − | 8.95723i | −0.331020 | − | 0.909469i | −0.987847 | − | 0.155428i | \(-0.950324\pi\) |
0.656827 | − | 0.754041i | \(-0.271898\pi\) | |||||||
\(98\) | 5.23913 | − | 3.02481i | 0.529232 | − | 0.305552i | ||||
\(99\) | 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 | \(0.0925816\pi\) | |||||||
\(102\) | −3.62414 | − | 6.27719i | −0.358843 | − | 0.621534i | ||||
\(103\) | −6.37462 | + | 17.5141i | −0.628110 | + | 1.72572i | 0.0580946 | + | 0.998311i | \(0.481497\pi\) |
−0.686205 | + | 0.727408i | \(0.740725\pi\) | |||||||
\(104\) | −4.48158 | − | 25.4163i | −0.439455 | − | 2.49227i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 23.4820 | + | 19.7038i | 2.28078 | + | 1.91380i | ||||
\(107\) | − | 10.4037i | − | 1.00577i | −0.864354 | − | 0.502883i | \(-0.832272\pi\) | ||
0.864354 | − | 0.502883i | \(-0.167728\pi\) | |||||||
\(108\) | −17.5598 | + | 14.7344i | −1.68969 | + | 1.41782i | ||||
\(109\) | −0.147956 | −0.0141716 | −0.00708580 | − | 0.999975i | \(-0.502255\pi\) | ||||
−0.00708580 | + | 0.999975i | \(0.502255\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.47519 | − | 4.05304i | 0.140018 | − | 0.384697i | ||||
\(112\) | −20.0315 | + | 3.53209i | −1.89280 | + | 0.333751i | ||||
\(113\) | 2.42107 | − | 6.65183i | 0.227755 | − | 0.625751i | −0.772199 | − | 0.635381i | \(-0.780843\pi\) |
0.999954 | + | 0.00962978i | \(0.00306530\pi\) | |||||||
\(114\) | −0.916222 | − | 0.528981i | −0.0858120 | − | 0.0495436i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 16.9893 | − | 29.4264i | 1.57742 | − | 2.73217i | ||||
\(117\) | 10.9812 | − | 6.34002i | 1.01522 | − | 0.586135i | ||||
\(118\) | −10.3923 | + | 6.00000i | −0.956689 | + | 0.552345i | ||||
\(119\) | 4.75877 | − | 1.73205i | 0.436236 | − | 0.158777i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 15.9251 | − | 13.3628i | 1.44774 | − | 1.21480i | ||||
\(122\) | −22.6345 | − | 26.9748i | −2.04923 | − | 2.44218i | ||||
\(123\) | −0.0429807 | + | 0.243756i | −0.00387544 | + | 0.0219787i | ||||
\(124\) | 20.4932 | − | 7.45891i | 1.84034 | − | 0.669830i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −11.6382 | − | 20.1579i | −1.03681 | − | 1.79581i | ||||
\(127\) | −0.211239 | − | 0.121959i | −0.0187444 | − | 0.0108221i | 0.490599 | − | 0.871386i | \(-0.336778\pi\) |
−0.509343 | + | 0.860564i | \(0.670112\pi\) | |||||||
\(128\) | −13.1378 | − | 2.31655i | −1.16123 | − | 0.204756i | ||||
\(129\) | 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 | \(0.814970\pi\) | |||||||
\(132\) | 40.4825 | + | 14.7344i | 3.52355 | + | 1.28247i | ||||
\(133\) | 0.475129 | − | 0.566237i | 0.0411989 | − | 0.0490990i | ||||
\(134\) | −18.6604 | −1.61202 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −10.0915 | −0.865341 | ||||||||
\(137\) | −7.97357 | + | 9.50253i | −0.681228 | + | 0.811856i | −0.990265 | − | 0.139194i | \(-0.955549\pi\) |
0.309037 | + | 0.951050i | \(0.399993\pi\) | |||||||
\(138\) | 5.67626 | + | 32.1917i | 0.483195 | + | 2.74034i | ||||
\(139\) | −3.21823 | − | 18.2515i | −0.272966 | − | 1.54807i | −0.745348 | − | 0.666675i | \(-0.767717\pi\) |
0.472382 | − | 0.881394i | \(-0.343394\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −6.97906 | + | 4.02936i | −0.587742 | + | 0.339333i | ||||
\(142\) | 12.2229 | + | 2.15523i | 1.02572 | + | 0.180863i | ||||
\(143\) | −20.6380 | − | 11.9153i | −1.72583 | − | 0.996411i | ||||
\(144\) | 3.45811 | + | 19.6119i | 0.288176 | + | 1.63433i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.539363 | − | 0.196312i | 0.0446380 | − | 0.0162469i | ||||
\(147\) | 3.88863 | − | 1.41534i | 0.320729 | − | 0.116736i | ||||
\(148\) | −7.06131 | − | 8.41534i | −0.580436 | − | 0.691737i | ||||
\(149\) | 3.66044 | − | 3.07148i | 0.299875 | − | 0.251625i | −0.480417 | − | 0.877040i | \(-0.659515\pi\) |
0.780292 | + | 0.625415i | \(0.215070\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.25877 | − | 1.91404i | 0.427953 | − | 0.155762i | −0.119059 | − | 0.992887i | \(-0.537988\pi\) |
0.547011 | + | 0.837125i | \(0.315765\pi\) | |||||||
\(152\) | −1.27562 | + | 0.736482i | −0.103467 | + | 0.0597366i | ||||
\(153\) | −1.69577 | − | 4.65910i | −0.137095 | − | 0.376666i | ||||
\(154\) | −21.8726 | + | 37.8844i | −1.76254 | + | 3.05281i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | − | 32.2956i | − | 2.58572i | ||||||
\(157\) | −6.84478 | + | 18.8059i | −0.546273 | + | 1.50087i | 0.292432 | + | 0.956286i | \(0.405535\pi\) |
−0.838705 | + | 0.544586i | \(0.816687\pi\) | |||||||
\(158\) | 24.5310 | − | 4.32547i | 1.95158 | − | 0.344116i | ||||
\(159\) | 13.4782 | + | 16.0627i | 1.06889 | + | 1.27385i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −22.8384 | −1.79992 | ||||||||
\(162\) | −19.7357 | + | 11.3944i | −1.55058 | + | 0.895229i | ||||
\(163\) | 9.95811i | 0.779979i | 0.920819 | + | 0.389990i | \(0.127521\pi\) | ||||
−0.920819 | + | 0.389990i | \(0.872479\pi\) | |||||||
\(164\) | 0.482926 | + | 0.405223i | 0.0377102 | + | 0.0316426i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.89440 | − | 22.0862i | −0.302264 | − | 1.71422i | ||||
\(167\) | −1.08164 | + | 2.97178i | −0.0836998 | + | 0.229963i | −0.974481 | − | 0.224468i | \(-0.927935\pi\) |
0.890782 | + | 0.454432i | \(0.150158\pi\) | |||||||
\(168\) | −32.4068 | −2.50024 | ||||||||
\(169\) | −0.844770 | + | 4.79093i | −0.0649823 | + | 0.368533i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.554378 | − | 0.465178i | −0.0423943 | − | 0.0355731i | ||||
\(172\) | 2.86927 | − | 1.65657i | 0.218780 | − | 0.126313i | ||||
\(173\) | −6.75557 | − | 18.5608i | −0.513616 | − | 1.41115i | −0.877442 | − | 0.479682i | \(-0.840752\pi\) |
0.363826 | − | 0.931467i | \(-0.381470\pi\) | |||||||
\(174\) | 21.7135 | − | 25.8771i | 1.64609 | − | 1.96174i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 28.6707 | − | 24.0576i | 2.16114 | − | 1.81341i | ||||
\(177\) | −7.71345 | + | 2.80747i | −0.579779 | + | 0.211022i | ||||
\(178\) | −5.76811 | − | 15.8478i | −0.432338 | − | 1.18784i | ||||
\(179\) | −4.05051 | − | 7.01568i | −0.302749 | − | 0.524377i | 0.674009 | − | 0.738724i | \(-0.264571\pi\) |
−0.976758 | + | 0.214347i | \(0.931238\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.45723 | − | 7.72016i | 0.331304 | − | 0.573835i | −0.651464 | − | 0.758679i | \(-0.725845\pi\) |
0.982768 | + | 0.184845i | \(0.0591782\pi\) | |||||||
\(182\) | 32.2956 | + | 5.69459i | 2.39391 | + | 0.422111i | ||||
\(183\) | −12.0436 | − | 20.8601i | −0.890287 | − | 1.54202i | ||||
\(184\) | 42.7661 | + | 15.5656i | 3.15276 | + | 1.14751i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 21.3516 | − | 3.76487i | 1.56558 | − | 0.276054i | ||||
\(187\) | −5.98962 | + | 7.13816i | −0.438005 | + | 0.521994i | ||||
\(188\) | 20.5253i | 1.49696i | ||||||||
\(189\) | −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 | \(0.786947\pi\) | |||||||
\(192\) | −2.66625 | − | 0.970437i | −0.192420 | − | 0.0700353i | ||||
\(193\) | −24.9412 | + | 4.39780i | −1.79531 | + | 0.316561i | −0.969074 | − | 0.246770i | \(-0.920631\pi\) |
−0.826232 | + | 0.563331i | \(0.809520\pi\) | |||||||
\(194\) | −22.6805 | − | 8.25503i | −1.62837 | − | 0.592677i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.83022 | − | 10.3797i | 0.130730 | − | 0.741408i | ||||
\(197\) | 4.22800 | + | 2.44104i | 0.301233 | + | 0.173917i | 0.642996 | − | 0.765869i | \(-0.277691\pi\) |
−0.341764 | + | 0.939786i | \(0.611024\pi\) | |||||||
\(198\) | 37.0909 | + | 21.4145i | 2.63594 | + | 1.52186i | ||||
\(199\) | 8.68092 | + | 15.0358i | 0.615374 | + | 1.06586i | 0.990319 | + | 0.138812i | \(0.0443284\pi\) |
−0.374944 | + | 0.927047i | \(0.622338\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −12.5706 | − | 2.21653i | −0.886660 | − | 0.156342i | ||||
\(202\) | 3.79677 | + | 4.52481i | 0.267140 | + | 0.318365i | ||||
\(203\) | 15.1706 | + | 18.0797i | 1.06477 | + | 1.26894i | ||||
\(204\) | −12.4363 | − | 2.19285i | −0.870714 | − | 0.153530i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 23.5967 | + | 40.8707i | 1.64406 | + | 2.84760i | ||||
\(207\) | 22.3601i | 1.55413i | ||||||||
\(208\) | −24.2984 | − | 14.0287i | −1.68479 | − | 0.972714i | ||||
\(209\) | −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 | \(0.740196\pi\) | |||||||
\(212\) | 52.5942 | − | 9.27379i | 3.61219 | − | 0.636926i | ||||
\(213\) | 7.97794 | + | 2.90373i | 0.546640 | + | 0.198961i | ||||
\(214\) | −20.1800 | − | 16.9331i | −1.37948 | − | 1.15752i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 31.7281i | 2.15882i | ||||||||
\(217\) | 15.1480i | 1.02831i | ||||||||
\(218\) | −0.240812 | + | 0.286989i | −0.0163099 | + | 0.0194373i | ||||
\(219\) | 0.386659 | − | 0.0681784i | 0.0261280 | − | 0.00460707i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.56418 | + | 2.38917i | 0.441554 | + | 0.160713i | ||||
\(222\) | −5.46064 | − | 9.45811i | −0.366494 | − | 0.634787i | ||||
\(223\) | 0.433877 | + | 0.0765042i | 0.0290545 | + | 0.00512310i | 0.188157 | − | 0.982139i | \(-0.439749\pi\) |
−0.159102 | + | 0.987262i | \(0.550860\pi\) | |||||||
\(224\) | −7.04189 | + | 12.1969i | −0.470506 | + | 0.814940i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.96198 | − | 15.5226i | −0.596142 | − | 1.03255i | ||||
\(227\) | 1.81720 | + | 4.99273i | 0.120612 | + | 0.331379i | 0.985276 | − | 0.170972i | \(-0.0546908\pi\) |
−0.864664 | + | 0.502351i | \(0.832469\pi\) | |||||||
\(228\) | −1.73205 | + | 0.630415i | −0.114708 | + | 0.0417502i | ||||
\(229\) | −0.0603074 | + | 0.0506039i | −0.00398522 | + | 0.00334400i | −0.644778 | − | 0.764370i | \(-0.723050\pi\) |
0.640793 | + | 0.767714i | \(0.278606\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −19.2344 | + | 22.9227i | −1.26553 | + | 1.50820i | ||||
\(232\) | −16.0855 | − | 44.1946i | −1.05607 | − | 2.90152i | ||||
\(233\) | −0.324446 | + | 0.187319i | −0.0212551 | + | 0.0122717i | −0.510590 | − | 0.859824i | \(-0.670573\pi\) |
0.489335 | + | 0.872096i | \(0.337240\pi\) | |||||||
\(234\) | 5.57532 | − | 31.6192i | 0.364470 | − | 2.06701i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.63041 | + | 20.5891i | −0.236320 | + | 1.34024i | ||||
\(237\) | 17.0390 | 1.10680 | ||||||||
\(238\) | 4.38571 | − | 12.0496i | 0.284283 | − | 0.781061i | ||||
\(239\) | 1.88666 | + | 10.6998i | 0.122038 | + | 0.692111i | 0.983023 | + | 0.183481i | \(0.0587367\pi\) |
−0.860985 | + | 0.508630i | \(0.830152\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 20.4893 | + | 17.1926i | 1.31983 | + | 1.10747i | 0.986341 | + | 0.164719i | \(0.0526717\pi\) |
0.333493 | + | 0.942753i | \(0.391773\pi\) | |||||||
\(242\) | − | 52.6391i | − | 3.38377i | ||||||
\(243\) | −14.6484 | + | 5.33157i | −0.939693 | + | 0.342020i | ||||
\(244\) | −61.3492 | −3.92748 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.402856 | + | 0.480105i | 0.0256852 | + | 0.0306104i | ||||
\(247\) | 1.00411 | − | 0.177052i | 0.0638900 | − | 0.0112655i | ||||
\(248\) | 10.3241 | − | 28.3653i | 0.655583 | − | 1.80120i | ||||
\(249\) | − | 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 | \(0.106096\pi\) | |||||||
\(252\) | −39.9365 | − | 7.04189i | −2.51577 | − | 0.443597i | ||||
\(253\) | 36.3932 | − | 21.0116i | 2.28802 | − | 1.32099i | ||||
\(254\) | −0.580375 | + | 0.211239i | −0.0364159 | + | 0.0132543i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −23.3666 | + | 19.6069i | −1.46042 | + | 1.22543i | ||||
\(257\) | 4.06564 | + | 4.84524i | 0.253607 | + | 0.302238i | 0.877795 | − | 0.479037i | \(-0.159014\pi\) |
−0.624187 | + | 0.781275i | \(0.714570\pi\) | |||||||
\(258\) | 3.09516 | − | 1.12654i | 0.192696 | − | 0.0701356i | ||||
\(259\) | 7.17024 | − | 2.60976i | 0.445537 | − | 0.162162i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.7010 | − | 14.8529i | 1.09566 | − | 0.919371i | ||||
\(262\) | 19.8594 | + | 11.4659i | 1.22692 | + | 0.708363i | ||||
\(263\) | −0.460802 | − | 0.0812519i | −0.0284143 | − | 0.00501021i | 0.159423 | − | 0.987210i | \(-0.449037\pi\) |
−0.187837 | + | 0.982200i | \(0.560148\pi\) | |||||||
\(264\) | 51.6404 | − | 29.8146i | 3.17825 | − | 1.83496i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.325008 | − | 1.84321i | −0.0199275 | − | 0.113014i | ||||
\(267\) | −2.00324 | − | 11.3610i | −0.122597 | − | 0.695280i | ||||
\(268\) | −20.8975 | + | 24.9047i | −1.27652 | + | 1.52129i | ||||
\(269\) | −1.84524 | −0.112506 | −0.0562530 | − | 0.998417i | \(-0.517915\pi\) | ||||
−0.0562530 | + | 0.998417i | \(0.517915\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.12567 | −0.250616 | −0.125308 | − | 0.992118i | \(-0.539992\pi\) | ||||
−0.125308 | + | 0.992118i | \(0.539992\pi\) | |||||||
\(272\) | −7.05196 | + | 8.40420i | −0.427588 | + | 0.509579i | ||||
\(273\) | 21.0795 | + | 7.67230i | 1.27579 | + | 0.464349i | ||||
\(274\) | 5.45424 | + | 30.9325i | 0.329503 | + | 1.86870i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 49.3205 | + | 28.4752i | 2.96874 | + | 1.71401i | ||||
\(277\) | −0.0605553 | − | 0.0106775i | −0.00363841 | − | 0.000641550i | 0.171829 | − | 0.985127i | \(-0.445032\pi\) |
−0.175467 | + | 0.984485i | \(0.556144\pi\) | |||||||
\(278\) | −40.6402 | − | 23.4636i | −2.43744 | − | 1.40726i | ||||
\(279\) | 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 | \(0.331135\pi\) | |||||||
\(282\) | −3.54336 | + | 20.0954i | −0.211004 | + | 1.19666i | ||||
\(283\) | 5.37051 | + | 6.40033i | 0.319244 | + | 0.380460i | 0.901671 | − | 0.432423i | \(-0.142341\pi\) |
−0.582427 | + | 0.812883i | \(0.697897\pi\) | |||||||
\(284\) | 16.5646 | − | 13.8994i | 0.982931 | − | 0.824777i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −56.7024 | + | 20.6380i | −3.35288 | + | 1.22035i | ||||
\(287\) | −0.379217 | + | 0.218941i | −0.0223844 | + | 0.0129237i | ||||
\(288\) | 11.9415 | + | 6.89440i | 0.703657 | + | 0.406256i | ||||
\(289\) | −7.13429 | + | 12.3569i | −0.419664 | + | 0.726879i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −14.2981 | − | 8.25503i | −0.838171 | − | 0.483918i | ||||
\(292\) | 0.342020 | − | 0.939693i | 0.0200152 | − | 0.0549914i | ||||
\(293\) | 11.8303 | − | 2.08600i | 0.691133 | − | 0.121865i | 0.182960 | − | 0.983120i | \(-0.441432\pi\) |
0.508173 | + | 0.861255i | \(0.330321\pi\) | |||||||
\(294\) | 3.58378 | − | 9.84635i | 0.209010 | − | 0.574251i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −15.2053 | −0.883792 | ||||||||
\(297\) | 22.4426 | + | 18.8316i | 1.30225 | + | 1.09272i | ||||
\(298\) | − | 12.0993i | − | 0.700891i | ||||||
\(299\) | −24.1327 | − | 20.2497i | −1.39563 | − | 1.17107i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.399615 | + | 2.26633i | 0.0230334 | + | 0.130629i | ||||
\(302\) | 4.84651 | − | 13.3157i | 0.278885 | − | 0.766231i | ||||
\(303\) | 2.02022 | + | 3.49912i | 0.116059 | + | 0.201019i | ||||
\(304\) | −0.278066 | + | 1.57699i | −0.0159482 | + | 0.0904467i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −11.7973 | − | 4.29385i | −0.674404 | − | 0.245463i | ||||
\(307\) | −9.33667 | + | 5.39053i | −0.532872 | + | 0.307654i | −0.742185 | − | 0.670195i | \(-0.766211\pi\) |
0.209313 | + | 0.977849i | \(0.432877\pi\) | |||||||
\(308\) | 26.0667 | + | 71.6177i | 1.48529 | + | 4.08080i | ||||
\(309\) | 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 | \(0.422090\pi\) | |||||||
\(312\) | −34.2433 | − | 28.7335i | −1.93865 | − | 1.62672i | ||||
\(313\) | 1.58370 | + | 4.35117i | 0.0895157 | + | 0.245942i | 0.976370 | − | 0.216108i | \(-0.0693362\pi\) |
−0.886854 | + | 0.462050i | \(0.847114\pi\) | |||||||
\(314\) | 25.3371 | + | 43.8851i | 1.42985 | + | 2.47658i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 21.6989 | − | 37.5836i | 1.22066 | − | 2.11425i | ||||
\(317\) | −7.65787 | − | 1.35029i | −0.430109 | − | 0.0758398i | −0.0455972 | − | 0.998960i | \(-0.514519\pi\) |
−0.384512 | + | 0.923120i | \(0.625630\pi\) | |||||||
\(318\) | 53.0937 | 2.97734 | ||||||||
\(319\) | −40.8080 | − | 14.8529i | −2.28481 | − | 0.831602i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.5829 | − | 13.8040i | −0.646494 | − | 0.770462i | ||||
\(322\) | −37.1717 | + | 44.2995i | −2.07150 | + | 2.46872i | ||||
\(323\) | − | 0.398681i | − | 0.0221832i | ||||||
\(324\) | −6.89440 | + | 39.1001i | −0.383022 | + | 2.17223i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 19.3157 | + | 16.2078i | 1.06980 | + | 0.897666i | ||||
\(327\) | −0.196312 | + | 0.164725i | −0.0108561 | + | 0.00910933i | ||||
\(328\) | 0.859322 | − | 0.151522i | 0.0474481 | − | 0.00836638i | ||||
\(329\) | −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 | \(-0.0112585\pi\) | |||||||
\(332\) | −33.8381 | − | 19.5364i | −1.85711 | − | 1.07220i | ||||
\(333\) | −2.55510 | − | 7.02007i | −0.140018 | − | 0.384697i | ||||
\(334\) | 4.00387 | + | 6.93491i | 0.219082 | + | 0.379461i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −22.6459 | + | 26.9883i | −1.23543 | + | 1.47233i | ||||
\(337\) | −10.6348 | − | 12.6741i | −0.579317 | − | 0.690403i | 0.394198 | − | 0.919025i | \(-0.371022\pi\) |
−0.973515 | + | 0.228622i | \(0.926578\pi\) | |||||||
\(338\) | 7.91799 | + | 9.43629i | 0.430682 | + | 0.513266i | ||||
\(339\) | −4.19341 | − | 11.5213i | −0.227755 | − | 0.625751i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.9363 | − | 24.1384i | −0.754692 | − | 1.30717i | ||||
\(342\) | −1.80460 | + | 0.318201i | −0.0975819 | + | 0.0172063i | ||||
\(343\) | −12.2355 | − | 7.06418i | −0.660656 | − | 0.381430i | ||||
\(344\) | 0.796322 | − | 4.51617i | 0.0429348 | − | 0.243495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −46.9975 | − | 17.1057i | −2.52660 | − | 0.919608i | ||||
\(347\) | −14.9550 | + | 2.63697i | −0.802828 | + | 0.141560i | −0.559982 | − | 0.828505i | \(-0.689192\pi\) |
−0.242846 | + | 0.970065i | \(0.578081\pi\) | |||||||
\(348\) | −10.2197 | − | 57.9586i | −0.547832 | − | 3.10691i | ||||
\(349\) | −10.8191 | − | 9.07828i | −0.579132 | − | 0.485949i | 0.305530 | − | 0.952182i | \(-0.401166\pi\) |
−0.884662 | + | 0.466233i | \(0.845611\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.51161 | − | 20.6380i | 0.400940 | − | 1.10157i | ||||
\(352\) | − | 25.9145i | − | 1.38125i | ||||||
\(353\) | −2.67733 | + | 3.19072i | −0.142500 | + | 0.169825i | −0.832574 | − | 0.553914i | \(-0.813134\pi\) |
0.690074 | + | 0.723739i | \(0.257578\pi\) | |||||||
\(354\) | −7.10876 | + | 19.5311i | −0.377826 | + | 1.03807i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −27.6104 | − | 10.0494i | −1.46335 | − | 0.532615i | ||||
\(357\) | 4.38571 | − | 7.59627i | 0.232116 | − | 0.402037i | ||||
\(358\) | −20.2009 | − | 3.56196i | −1.06765 | − | 0.188255i | ||||
\(359\) | −3.29679 | + | 5.71021i | −0.173998 | + | 0.301373i | −0.939814 | − | 0.341686i | \(-0.889002\pi\) |
0.765816 | + | 0.643060i | \(0.222335\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.47090 | + | 16.4041i | 0.498469 | + | 0.863373i | ||||
\(362\) | −7.72016 | − | 21.2110i | −0.405762 | − | 1.11482i | ||||
\(363\) | 6.25259 | − | 35.4602i | 0.328176 | − | 1.86118i | ||||
\(364\) | 43.7674 | − | 36.7252i | 2.29404 | − | 1.92493i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −60.0642 | − | 10.5909i | −3.13961 | − | 0.553598i | ||||
\(367\) | 4.34008 | + | 11.9243i | 0.226550 | + | 0.622442i | 0.999934 | − | 0.0114966i | \(-0.00365955\pi\) |
−0.773384 | + | 0.633938i | \(0.781437\pi\) | |||||||
\(368\) | 42.8480 | − | 24.7383i | 2.23361 | − | 1.28957i | ||||
\(369\) | 0.214355 | + | 0.371274i | 0.0111589 | + | 0.0193278i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −6.44150 | + | 36.5316i | −0.334426 | + | 1.89663i | ||||
\(372\) | 18.8866 | − | 32.7126i | 0.979226 | − | 1.69607i | ||||
\(373\) | 2.61159 | − | 7.17530i | 0.135223 | − | 0.371523i | −0.853537 | − | 0.521032i | \(-0.825547\pi\) |
0.988760 | + | 0.149509i | \(0.0477694\pi\) | |||||||
\(374\) | 4.09714 | + | 23.2361i | 0.211858 | + | 1.20151i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 21.7631 | + | 18.2614i | 1.12235 | + | 0.941761i | ||||
\(377\) | 32.5553i | 1.67668i | ||||||||
\(378\) | −37.8844 | − | 13.7888i | −1.94856 | − | 0.709219i | ||||
\(379\) | 27.0838 | 1.39120 | 0.695600 | − | 0.718429i | \(-0.255139\pi\) | ||||
0.695600 | + | 0.718429i | \(0.255139\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.416060 | + | 0.0733626i | −0.0213154 | + | 0.00375848i | ||||
\(382\) | −13.9187 | + | 2.45424i | −0.712142 | + | 0.125570i | ||||
\(383\) | −3.52201 | + | 9.67664i | −0.179966 | + | 0.494453i | −0.996571 | − | 0.0827443i | \(-0.973632\pi\) |
0.816605 | + | 0.577198i | \(0.195854\pi\) | |||||||
\(384\) | −20.0107 | + | 11.5532i | −1.02117 | + | 0.589572i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −32.0638 | + | 55.5361i | −1.63200 | + | 2.82671i | ||||
\(387\) | 2.21886 | − | 0.391245i | 0.112791 | − | 0.0198881i | ||||
\(388\) | −36.4169 | + | 21.0253i | −1.84879 | + | 1.06740i | ||||
\(389\) | 3.89780 | − | 1.41868i | 0.197626 | − | 0.0719302i | −0.241311 | − | 0.970448i | \(-0.577577\pi\) |
0.438937 | + | 0.898518i | \(0.355355\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.43629 | + | 7.91799i | −0.477214 | + | 0.400430i | ||||
\(392\) | −9.37732 | − | 11.1755i | −0.473626 | − | 0.564446i | ||||
\(393\) | 12.0163 | + | 10.0829i | 0.606144 | + | 0.508615i | ||||
\(394\) | 11.6163 | − | 4.22800i | 0.585222 | − | 0.213004i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 70.1177 | − | 25.5208i | 3.52355 | − | 1.28247i | ||||
\(397\) | −19.1444 | − | 11.0530i | −0.960831 | − | 0.554736i | −0.0644021 | − | 0.997924i | \(-0.520514\pi\) |
−0.896429 | + | 0.443188i | \(0.853847\pi\) | |||||||
\(398\) | 43.2939 | + | 7.63387i | 2.17012 | + | 0.382652i | ||||
\(399\) | − | 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 | \(-0.193910\pi\) | |||||||
\(402\) | −24.7592 | + | 20.7754i | −1.23488 | + | 1.03618i | ||||
\(403\) | −13.4310 | + | 16.0064i | −0.669044 | + | 0.797335i | ||||
\(404\) | 10.2909 | 0.511989 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 59.7606 | 2.96587 | ||||||||
\(407\) | −9.02482 | + | 10.7554i | −0.447344 | + | 0.533124i | ||||
\(408\) | −13.3897 | + | 11.2353i | −0.662889 | + | 0.556230i | ||||
\(409\) | 6.09199 | + | 34.5494i | 0.301229 | + | 1.70836i | 0.640743 | + | 0.767755i | \(0.278626\pi\) |
−0.339514 | + | 0.940601i | \(0.610263\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 21.4855i | 1.05980i | ||||||||
\(412\) | 80.9726 | + | 14.2777i | 3.98923 | + | 0.703410i | ||||
\(413\) | −12.5761 | − | 7.26083i | −0.618831 | − | 0.357282i | ||||
\(414\) | 43.3717 | + | 36.3932i | 2.13160 | + | 1.78863i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −18.2554 | + | 6.64441i | −0.895043 | + | 0.325769i | ||||
\(417\) | −24.5901 | − | 20.6336i | −1.20418 | − | 1.01043i | ||||
\(418\) | 2.21368 | + | 2.63816i | 0.108274 | + | 0.129036i | ||||
\(419\) | −12.7665 | + | 10.7124i | −0.623685 | + | 0.523334i | −0.898959 | − | 0.438032i | \(-0.855676\pi\) |
0.275275 | + | 0.961366i | \(0.411231\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 25.7841 | − | 9.38463i | 1.25664 | − | 0.457379i | 0.373998 | − | 0.927429i | \(-0.377987\pi\) |
0.882639 | + | 0.470051i | \(0.155764\pi\) | |||||||
\(422\) | −25.1325 | + | 14.5103i | −1.22343 | + | 0.706349i | ||||
\(423\) | −4.77396 | + | 13.1163i | −0.232118 | + | 0.637738i | ||||
\(424\) | 36.9602 | − | 64.0170i | 1.79495 | − | 3.10894i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 18.6172 | − | 10.7487i | 0.902007 | − | 0.520774i | ||||
\(427\) | 14.5744 | − | 40.0428i | 0.705304 | − | 1.93781i | ||||
\(428\) | −45.1985 | + | 7.96972i | −2.18475 | + | 0.385231i | ||||
\(429\) | −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 | \(0.617190\pi\) | |||||||
\(432\) | 26.4231 | + | 22.1716i | 1.27128 | + | 1.06673i | ||||
\(433\) | 23.3919i | 1.12414i | 0.827089 | + | 0.562071i | \(0.189995\pi\) | ||||
−0.827089 | + | 0.562071i | \(0.810005\pi\) | |||||||
\(434\) | 29.3824 | + | 24.6547i | 1.41040 | + | 1.18347i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.113341 | + | 0.642788i | 0.00542804 | + | 0.0307839i | ||||
\(437\) | −0.614942 | + | 1.68954i | −0.0294167 | + | 0.0808217i | ||||
\(438\) | 0.497079 | − | 0.860967i | 0.0237514 | − | 0.0411386i | ||||
\(439\) | 4.55959 | − | 25.8587i | 0.217617 | − | 1.23417i | −0.658689 | − | 0.752415i | \(-0.728889\pi\) |
0.876306 | − | 0.481754i | \(-0.160000\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.58378 | − | 6.20729i | 0.170656 | − | 0.295585i | ||||
\(442\) | 15.3181 | − | 8.84389i | 0.728606 | − | 0.420661i | ||||
\(443\) | −10.8554 | − | 29.8251i | −0.515757 | − | 1.41703i | −0.875153 | − | 0.483846i | \(-0.839239\pi\) |
0.359396 | − | 0.933185i | \(-0.382983\pi\) | |||||||
\(444\) | −18.7383 | − | 3.30407i | −0.889280 | − | 0.156804i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.854570 | − | 0.717070i | 0.0404651 | − | 0.0339542i | ||||
\(447\) | 1.43718 | − | 8.15064i | 0.0679762 | − | 0.385512i | ||||
\(448\) | −1.71680 | − | 4.71688i | −0.0811114 | − | 0.222852i | ||||
\(449\) | −9.23695 | − | 15.9989i | −0.435919 | − | 0.755033i | 0.561452 | − | 0.827510i | \(-0.310243\pi\) |
−0.997370 | + | 0.0724765i | \(0.976910\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.402856 | − | 0.697767i | 0.0189697 | − | 0.0328566i | ||||
\(452\) | −30.7532 | − | 5.42262i | −1.44651 | − | 0.255059i | ||||
\(453\) | 4.84651 | − | 8.39440i | 0.227709 | − | 0.394403i | ||||
\(454\) | 12.6420 | + | 4.60132i | 0.593320 | + | 0.215951i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.872578 | + | 2.39739i | −0.0408622 | + | 0.112268i | ||||
\(457\) | 6.86998 | − | 8.18732i | 0.321364 | − | 0.382987i | −0.581042 | − | 0.813874i | \(-0.697355\pi\) |
0.902406 | + | 0.430887i | \(0.141799\pi\) | |||||||
\(458\) | 0.199340i | 0.00931457i | ||||||||
\(459\) | −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 | \(0.499694\pi\) | ||||||||
\(462\) | 13.1571 | + | 74.6177i | 0.612125 | + | 3.47153i | ||||
\(463\) | 4.54077 | − | 0.800660i | 0.211027 | − | 0.0372098i | −0.0671350 | − | 0.997744i | \(-0.521386\pi\) |
0.278162 | + | 0.960534i | \(0.410275\pi\) | |||||||
\(464\) | −48.0458 | − | 17.4872i | −2.23047 | − | 0.811825i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.164725 | + | 0.934204i | −0.00763075 | + | 0.0432762i | ||||
\(467\) | −16.9310 | − | 9.77513i | −0.783474 | − | 0.452339i | 0.0541859 | − | 0.998531i | \(-0.482744\pi\) |
−0.837660 | + | 0.546192i | \(0.816077\pi\) | |||||||
\(468\) | −35.9561 | − | 42.8508i | −1.66207 | − | 1.98078i | ||||
\(469\) | −11.2909 | − | 19.5563i | −0.521363 | − | 0.903028i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.8555 | + | 32.5727i | 0.546273 | + | 1.50087i | ||||
\(472\) | 18.6008 | + | 22.1676i | 0.856171 | + | 1.02034i | ||||
\(473\) | −2.72183 | − | 3.24376i | −0.125150 | − | 0.149148i | ||||
\(474\) | 27.7327 | − | 33.0505i | 1.27380 | − | 1.51806i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −11.1702 | − | 19.3474i | −0.511987 | − | 0.886788i | ||||
\(477\) | 35.7664 | + | 6.30659i | 1.63763 | + | 0.288759i | ||||
\(478\) | 23.8250 | + | 13.7554i | 1.08973 | + | 0.629156i | ||||
\(479\) | 0.449493 | − | 2.54920i | 0.0205379 | − | 0.116476i | −0.972815 | − | 0.231582i | \(-0.925610\pi\) |
0.993353 | + | 0.115106i | \(0.0367209\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.89053 | + | 3.59986i | 0.450969 | + | 0.164139i | ||||
\(482\) | 66.6967 | − | 11.7604i | 3.03795 | − | 0.535672i | ||||
\(483\) | −30.3027 | + | 25.4270i | −1.37882 | + | 1.15697i | ||||
\(484\) | −70.2534 | − | 58.9496i | −3.19333 | − | 2.67953i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −13.5000 | + | 37.0909i | −0.612372 | + | 1.68248i | ||||
\(487\) | − | 40.7870i | − | 1.84824i | −0.382105 | − | 0.924119i | \(-0.624801\pi\) | ||
0.382105 | − | 0.924119i | \(-0.375199\pi\) | |||||||
\(488\) | −54.5826 | + | 65.0490i | −2.47084 | + | 2.94463i | ||||
\(489\) | 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 | \(0.976507\pi\) | |||||||
\(492\) | 1.09191 | 0.0492271 | ||||||||
\(493\) | 12.5363 | + | 2.21048i | 0.564606 | + | 0.0995552i | ||||
\(494\) | 1.29086 | − | 2.23583i | 0.0580785 | − | 0.100595i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −16.4081 | − | 28.4196i | −0.736744 | − | 1.27608i | ||||
\(497\) | 5.13701 | + | 14.1138i | 0.230426 | + | 0.633091i | ||||
\(498\) | −29.7567 | − | 24.9688i | −1.33343 | − | 1.11888i | ||||
\(499\) | 10.2226 | − | 8.57775i | 0.457625 | − | 0.383993i | −0.384631 | − | 0.923070i | \(-0.625671\pi\) |
0.842256 | + | 0.539077i | \(0.181227\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.87346 | + | 5.14728i | 0.0836998 | + | 0.229963i | ||||
\(502\) | −5.19026 | − | 14.2601i | −0.231653 | − | 0.636460i | ||||
\(503\) | 15.6373 | − | 9.02822i | 0.697234 | − | 0.402548i | −0.109082 | − | 0.994033i | \(-0.534791\pi\) |
0.806316 | + | 0.591484i | \(0.201458\pi\) | |||||||
\(504\) | −42.9982 | + | 36.0798i | −1.91529 | + | 1.60712i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 18.4773 | − | 104.790i | 0.821416 | − | 4.65848i | ||||
\(507\) | 4.21307 | + | 7.29726i | 0.187109 | + | 0.324083i | ||||
\(508\) | −0.368026 | + | 1.01114i | −0.0163285 | + | 0.0448623i | ||||
\(509\) | −4.18779 | − | 23.7501i | −0.185620 | − | 1.05271i | −0.925156 | − | 0.379588i | \(-0.876066\pi\) |
0.739535 | − | 0.673118i | \(-0.235045\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.532089 | + | 0.446476i | 0.0235382 | + | 0.0197509i | ||||
\(512\) | 50.5553i | 2.23425i | ||||||||
\(513\) | −1.25347 | −0.0553418 | ||||||||
\(514\) | 16.0155 | 0.706413 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.96270 | − | 5.39246i | 0.0864029 | − | 0.237390i | ||||
\(517\) | 25.8341 | − | 4.55525i | 1.13618 | − | 0.200340i | ||||
\(518\) | 6.60813 | − | 18.1557i | 0.290345 | − | 0.797716i | ||||
\(519\) | −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 | \(-0.193829\pi\) | |||||||
\(522\) | − | 58.5090i | − | 2.56087i | ||||||
\(523\) | 5.66955 | − | 3.27332i | 0.247912 | − | 0.143132i | −0.370896 | − | 0.928675i | \(-0.620949\pi\) |
0.618808 | + | 0.785542i | \(0.287616\pi\) | |||||||
\(524\) | 37.5428 | − | 13.6645i | 1.64007 | − | 0.596935i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.907604 | + | 0.761570i | −0.0395734 | + | 0.0332060i | ||||
\(527\) | 5.25173 | + | 6.25877i | 0.228769 | + | 0.272636i | ||||
\(528\) | 11.2568 | − | 63.8405i | 0.489890 | − | 2.77830i | ||||
\(529\) | 30.5895 | − | 11.1337i | 1.32998 | − | 0.484072i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −7.10876 | + | 12.3127i | −0.308494 | + | 0.534327i | ||||
\(532\) | −2.82396 | − | 1.63041i | −0.122434 | − | 0.0706875i | ||||
\(533\) | −0.594831 | − | 0.104885i | −0.0257650 | − | 0.00454306i | ||||
\(534\) | −25.2973 | − | 14.6054i | −1.09472 | − | 0.632037i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 7.81403 | + | 44.3155i | 0.337514 | + | 1.91414i | ||||
\(537\) | −13.1852 | − | 4.79901i | −0.568982 | − | 0.207093i | ||||
\(538\) | −3.00330 | + | 3.57919i | −0.129481 | + | 0.154310i | ||||
\(539\) | −13.4706 | −0.580220 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −30.3560 | −1.30511 | −0.652553 | − | 0.757743i | \(-0.726302\pi\) | ||||
−0.652553 | + | 0.757743i | \(0.726302\pi\) | |||||||
\(542\) | −6.71492 | + | 8.00253i | −0.288430 | + | 0.343738i | ||||
\(543\) | −2.68118 | − | 15.2057i | −0.115061 | − | 0.652541i | ||||
\(544\) | 1.31908 | + | 7.48086i | 0.0565550 | + | 0.320739i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 49.1908 | − | 28.4003i | 2.10517 | − | 1.21542i | ||||
\(547\) | 38.0907 | + | 6.71641i | 1.62864 | + | 0.287173i | 0.911975 | − | 0.410245i | \(-0.134557\pi\) |
0.716664 | + | 0.697418i | \(0.245668\pi\) | |||||||
\(548\) | 47.3914 | + | 27.3614i | 2.02446 | + | 1.16882i | ||||
\(549\) | −39.2041 | − | 14.2691i | −1.67319 | − | 0.608992i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.74598 | − | 0.635484i | 0.0743811 | − | 0.0270725i | ||||
\(552\) | 74.0731 | − | 26.9604i | 3.15276 | − | 1.14751i | ||||
\(553\) | 19.3761 | + | 23.0915i | 0.823955 | + | 0.981951i | ||||
\(554\) | −0.119271 | + | 0.100080i | −0.00506732 | + | 0.00425199i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −76.8273 | + | 27.9629i | −3.25821 | + | 1.18589i | ||||
\(557\) | 12.8808 | − | 7.43676i | 0.545779 | − | 0.315105i | −0.201639 | − | 0.979460i | \(-0.564627\pi\) |
0.747418 | + | 0.664354i | \(0.231293\pi\) | |||||||
\(558\) | 24.1384 | − | 28.7670i | 1.02186 | − | 1.21780i | ||||
\(559\) | −1.58718 | + | 2.74908i | −0.0671306 | + | 0.116274i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.1396i | 0.681414i | ||||||||
\(562\) | 5.23913 | − | 14.3944i | 0.220999 | − | 0.607191i | ||||
\(563\) | 28.8485 | − | 5.08677i | 1.21582 | − | 0.214382i | 0.471294 | − | 0.881976i | \(-0.343787\pi\) |
0.744525 | + | 0.667594i | \(0.232676\pi\) | |||||||
\(564\) | 22.8516 | + | 27.2335i | 0.962227 | + | 1.14674i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 21.1557 | 0.889240 | ||||||||
\(567\) | −23.8829 | − | 13.7888i | −1.00299 | − | 0.579075i | ||||
\(568\) | − | 29.9299i | − | 1.25583i | ||||||
\(569\) | 24.4127 | + | 20.4847i | 1.02343 | + | 0.858761i | 0.990055 | − | 0.140682i | \(-0.0449294\pi\) |
0.0333769 | + | 0.999443i | \(0.489374\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.78817 | − | 15.8125i | −0.116681 | − | 0.661733i | −0.985904 | − | 0.167312i | \(-0.946491\pi\) |
0.869223 | − | 0.494421i | \(-0.164620\pi\) | |||||||
\(572\) | −35.9561 | + | 98.7884i | −1.50340 | + | 4.13055i | ||||
\(573\) | −9.66782 | −0.403879 | ||||||||
\(574\) | −0.192533 | + | 1.09191i | −0.00803619 | + | 0.0455755i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −4.61809 | + | 1.68085i | −0.192420 | + | 0.0700353i | ||||
\(577\) | −1.96464 | + | 1.13429i | −0.0817890 | + | 0.0472209i | −0.540337 | − | 0.841449i | \(-0.681703\pi\) |
0.458548 | + | 0.888670i | \(0.348370\pi\) | |||||||
\(578\) | 12.3569 | + | 33.9504i | 0.513981 | + | 1.41215i | ||||
\(579\) | −28.1964 | + | 33.6032i | −1.17180 | + | 1.39650i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.7902 | − | 17.4451i | 0.862524 | − | 0.723744i | ||||
\(582\) | −39.2838 | + | 14.2981i | −1.62837 | + | 0.592677i | ||||
\(583\) | −23.3449 | − | 64.1396i | −0.966847 | − | 2.65639i | ||||
\(584\) | −0.692066 | − | 1.19869i | −0.0286379 | − | 0.0496023i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.2087 | − | 26.3423i | 0.628267 | − | 1.08819i | ||||
\(587\) | −32.8120 | − | 5.78564i | −1.35430 | − | 0.238799i | −0.551064 | − | 0.834463i | \(-0.685778\pi\) |
−0.803234 | + | 0.595664i | \(0.796889\pi\) | |||||||
\(588\) | −9.12776 | − | 15.8097i | −0.376422 | − | 0.651983i | ||||
\(589\) | 1.12061 | + | 0.407870i | 0.0461741 | + | 0.0168060i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.32753 | − | 1.46837i | 0.342549 | − | 0.0604006i | ||||
\(592\) | −10.6255 | + | 12.6630i | −0.436705 | + | 0.520445i | ||||
\(593\) | 24.7793i | 1.01756i | 0.860895 | + | 0.508782i | \(0.169904\pi\) | ||||
−0.860895 | + | 0.508782i | \(0.830096\pi\) | |||||||
\(594\) | 73.0549 | − | 12.8816i | 2.99748 | − | 0.528536i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −16.1480 | − | 13.5497i | −0.661446 | − | 0.555019i | ||||
\(597\) | 28.2581 | + | 10.2851i | 1.15653 | + | 0.420941i | ||||
\(598\) | −78.5565 | + | 13.8516i | −3.21241 | + | 0.566435i | ||||
\(599\) | 35.9368 | + | 13.0799i | 1.46834 | + | 0.534431i | 0.947648 | − | 0.319316i | \(-0.103453\pi\) |
0.520688 | + | 0.853747i | \(0.325676\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.80747 | − | 44.2783i | 0.318473 | − | 1.80615i | −0.233575 | − | 0.972339i | \(-0.575042\pi\) |
0.552048 | − | 0.833812i | \(-0.313847\pi\) | |||||||
\(602\) | 5.04639 | + | 2.91353i | 0.205675 | + | 0.118747i | ||||
\(603\) | −19.1467 | + | 11.0544i | −0.779716 | + | 0.450169i | ||||
\(604\) | −12.3439 | − | 21.3802i | −0.502266 | − | 0.869950i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 10.0753 | + | 1.77655i | 0.409282 | + | 0.0721675i | ||||
\(607\) | 10.1845 | + | 12.1374i | 0.413377 | + | 0.492644i | 0.932050 | − | 0.362329i | \(-0.118018\pi\) |
−0.518673 | + | 0.854973i | \(0.673574\pi\) | |||||||
\(608\) | 0.712694 | + | 0.849356i | 0.0289036 | + | 0.0344459i | ||||
\(609\) | 40.2576 | + | 7.09851i | 1.63132 | + | 0.287646i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.83275 | − | 17.0308i | −0.397790 | − | 0.688993i | ||||
\(612\) | −18.9422 | + | 10.9363i | −0.765693 | + | 0.442073i | ||||
\(613\) | 18.0265 | + | 10.4076i | 0.728083 | + | 0.420359i | 0.817721 | − | 0.575615i | \(-0.195237\pi\) |
−0.0896372 | + | 0.995974i | \(0.528571\pi\) | |||||||
\(614\) | −4.74035 | + | 26.8839i | −0.191305 | + | 1.08494i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 99.1285 | + | 36.0798i | 3.99400 | + | 1.45370i | ||||
\(617\) | 29.4752 | − | 5.19728i | 1.18663 | − | 0.209235i | 0.454718 | − | 0.890635i | \(-0.349740\pi\) |
0.731911 | + | 0.681401i | \(0.238629\pi\) | |||||||
\(618\) | 76.8119 | + | 27.9572i | 3.08983 | + | 1.12460i | ||||
\(619\) | 2.69775 | + | 2.26368i | 0.108432 | + | 0.0909850i | 0.695392 | − | 0.718631i | \(-0.255231\pi\) |
−0.586960 | + | 0.809616i | \(0.699675\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 24.8944 | + | 29.6680i | 0.998978 | + | 1.19054i | ||||
\(622\) | 39.1165i | 1.56843i | ||||||||
\(623\) | 13.1185 | − | 15.6340i | 0.525582 | − | 0.626364i | ||||
\(624\) | −47.8585 | + | 8.43874i | −1.91587 | + | 0.337820i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.0175 | + | 4.01006i | 0.440349 | + | 0.160274i | ||||
\(627\) | 1.17787 | + | 2.04013i | 0.0470397 | + | 0.0814751i | ||||
\(628\) | 86.9447 | + | 15.3307i | 3.46947 | + | 0.611761i | ||||
\(629\) | 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 | \(0.957297\pi\) | |||||||
\(632\) | −20.5446 | − | 56.4458i | −0.817221 | − | 2.24529i | ||||
\(633\) | −18.6540 | + | 6.78952i | −0.741432 | + | 0.269859i | ||||
\(634\) | −15.0831 | + | 12.6562i | −0.599025 | + | 0.502642i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 59.4586 | − | 70.8600i | 2.35769 | − | 2.80978i | ||||
\(637\) | 3.45383 | + | 9.48932i | 0.136846 | + | 0.375981i | ||||
\(638\) | −95.2289 | + | 54.9805i | −3.77015 | + | 2.17670i | ||||
\(639\) | 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 | \(-0.00295224\pi\) | |||||||
\(642\) | −45.6277 | −1.80078 | ||||||||
\(643\) | −9.77411 | + | 26.8542i | −0.385453 | + | 1.05902i | 0.583571 | + | 0.812062i | \(0.301655\pi\) |
−0.969025 | + | 0.246963i | \(0.920567\pi\) | |||||||
\(644\) | 17.4953 | + | 99.2205i | 0.689410 | + | 3.90984i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.773318 | − | 0.648891i | −0.0304258 | − | 0.0255303i | ||||
\(647\) | − | 21.6928i | − | 0.852833i | −0.904527 | − | 0.426417i | \(-0.859776\pi\) | ||
0.904527 | − | 0.426417i | \(-0.140224\pi\) | |||||||
\(648\) | 35.3241 | + | 42.0977i | 1.38766 | + | 1.65375i | ||||
\(649\) | 26.7202 | 1.04886 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.8648 | + | 20.0987i | 0.660985 | + | 0.787731i | ||||
\(652\) | 43.2626 | − | 7.62836i | 1.69429 | − | 0.298749i | ||||
\(653\) | −10.5760 | + | 29.0574i | −0.413872 | + | 1.13710i | 0.541243 | + | 0.840866i | \(0.317954\pi\) |
−0.955115 | + | 0.296237i | \(0.904268\pi\) | |||||||
\(654\) | 0.648891i | 0.0253737i | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.474308 | − | 0.821525i | 0.0185186 | − | 0.0320752i | ||||
\(657\) | 0.437124 | − | 0.520945i | 0.0170538 | − | 0.0203240i | ||||
\(658\) | −31.2629 | + | 18.0496i | −1.21875 | + | 0.703648i | ||||
\(659\) | 35.7581 | − | 13.0149i | 1.39294 | − | 0.506987i | 0.466862 | − | 0.884330i | \(-0.345384\pi\) |
0.926074 | + | 0.377343i | \(0.123162\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.7271 | + | 17.3921i | −0.806193 | + | 0.676476i | −0.949696 | − | 0.313174i | \(-0.898608\pi\) |
0.143503 | + | 0.989650i | \(0.454163\pi\) | |||||||
\(662\) | −12.3400 | − | 14.7062i | −0.479607 | − | 0.571573i | ||||
\(663\) | 11.3695 | − | 4.13816i | 0.441554 | − | 0.160713i | ||||
\(664\) | −50.8205 | + | 18.4971i | −1.97222 | + | 0.717828i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −17.7754 | − | 6.46973i | −0.688784 | − | 0.250697i | ||||
\(667\) | −49.7170 | − | 28.7041i | −1.92505 | − | 1.11143i | ||||
\(668\) | 13.7394 | + | 2.42262i | 0.531591 | + | 0.0937339i | ||||
\(669\) | 0.660855 | − | 0.381545i | 0.0255501 | − | 0.0147514i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.6155 | + | 77.2171i | 0.525619 | + | 2.98093i | ||||
\(672\) | 4.23594 | + | 24.0232i | 0.163405 | + | 0.926716i | ||||
\(673\) | 19.8109 | − | 23.6097i | 0.763653 | − | 0.910087i | −0.234420 | − | 0.972135i | \(-0.575319\pi\) |
0.998073 | + | 0.0620488i | \(0.0197635\pi\) | |||||||
\(674\) | −41.8931 | −1.61366 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.4611 | 0.825427 | ||||||||
\(677\) | 29.9708 | − | 35.7178i | 1.15187 | − | 1.37275i | 0.235766 | − | 0.971810i | \(-0.424240\pi\) |
0.916105 | − | 0.400937i | \(-0.131315\pi\) | |||||||
\(678\) | −29.1730 | − | 10.6181i | −1.12038 | − | 0.407785i | ||||
\(679\) | −5.07192 | − | 28.7643i | −0.194642 | − | 1.10387i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 7.96972 | + | 4.60132i | 0.305400 | + | 0.176323i | ||||
\(682\) | −69.5036 | − | 12.2554i | −2.66143 | − | 0.469282i | ||||
\(683\) | 35.8923 | + | 20.7224i | 1.37338 | + | 0.792921i | 0.991352 | − | 0.131231i | \(-0.0418928\pi\) |
0.382027 | + | 0.924151i | \(0.375226\pi\) | |||||||
\(684\) | −1.59627 | + | 2.76481i | −0.0610348 | + | 0.105715i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −33.6168 | + | 12.2355i | −1.28350 | + | 0.467154i | ||||
\(687\) | −0.0236781 | + | 0.134285i | −0.000903377 | + | 0.00512330i | ||||
\(688\) | −3.20459 | − | 3.81908i | −0.122174 | − | 0.145601i | ||||
\(689\) | −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 | \(0.421107\pi\) | |||||||
\(692\) | −75.4614 | + | 43.5676i | −2.86861 | + | 1.65619i | ||||
\(693\) | 51.8289i | 1.96882i | ||||||||
\(694\) | −19.2258 | + | 33.3001i | −0.729802 | + | 1.26405i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −70.5464 | − | 40.7300i | −2.67406 | − | 1.54387i | ||||
\(697\) | −0.0807773 | + | 0.221934i | −0.00305966 | + | 0.00840634i | ||||
\(698\) | −35.2182 | + | 6.20991i | −1.33303 | + | 0.235049i | ||||
\(699\) | −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 | \(0.441546\pi\) | |||||||
\(702\) | −27.8055 | − | 48.1605i | −1.04945 | − | 1.81770i | ||||
\(703\) | − | 0.600710i | − | 0.0226562i | ||||||
\(704\) | 7.07532 | + | 5.93690i | 0.266661 | + | 0.223755i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.83140 | + | 10.3864i | 0.0689258 | + | 0.390898i | ||||
\(707\) | −2.44474 | + | 6.71688i | −0.0919441 | + | 0.252614i | ||||
\(708\) | 18.1058 | + | 31.3601i | 0.680456 | + | 1.17858i | ||||
\(709\) | −4.07057 | + | 23.0854i | −0.152874 | + | 0.866989i | 0.807830 | + | 0.589415i | \(0.200642\pi\) |
−0.960704 | + | 0.277575i | \(0.910469\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 22.6079 | − | 18.9703i | 0.847862 | − | 0.711440i | ||||
\(712\) | −35.2205 | + | 20.3346i | −1.31994 | + | 0.762070i | ||||
\(713\) | −12.6021 | − | 34.6241i | −0.471954 | − | 1.29668i | ||||
\(714\) | −7.59627 | − | 20.8706i | −0.284283 | − | 0.781061i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −27.3764 | + | 22.9716i | −1.02311 | + | 0.858488i | ||||
\(717\) | 14.4158 | + | 12.0963i | 0.538367 | + | 0.451743i | ||||
\(718\) | 5.71021 | + | 15.6887i | 0.213103 | + | 0.585496i | ||||
\(719\) | −13.1133 | − | 22.7130i | −0.489045 | − | 0.847051i | 0.510875 | − | 0.859655i | \(-0.329321\pi\) |
−0.999921 | + | 0.0126038i | \(0.995988\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.5553 | + | 49.4592i | −1.06346 | + | 1.84196i | ||||
\(722\) | 47.2337 | + | 8.32857i | 1.75786 | + | 0.309957i | ||||
\(723\) | 46.3270 | 1.72292 | ||||||||
\(724\) | −36.9543 | − | 13.4503i | −1.37340 | − | 0.499875i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −58.6052 | − | 69.8430i | −2.17504 | − | 2.59212i | ||||
\(727\) | −12.2559 | + | 14.6061i | −0.454548 | + | 0.541709i | −0.943836 | − | 0.330413i | \(-0.892812\pi\) |
0.489289 | + | 0.872122i | \(0.337256\pi\) | |||||||
\(728\) | − | 79.0815i | − | 2.93096i | ||||||
\(729\) | −13.5000 | + | 23.3827i | −0.500000 | + | 0.866025i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.950837 | + | 0.797847i | 0.0351680 | + | 0.0295094i | ||||
\(732\) | −81.3998 | + | 68.3025i | −3.00862 | + | 2.52453i | ||||
\(733\) | −6.64268 | + | 1.17128i | −0.245353 | + | 0.0432624i | −0.294972 | − | 0.955506i | \(-0.595310\pi\) |
0.0496191 | + | 0.998768i | \(0.484199\pi\) | |||||||
\(734\) | 30.1933 | + | 10.9895i | 1.11446 | + | 0.405629i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.94878 | − | 33.7372i | 0.219275 | − | 1.24357i | ||||
\(737\) | 35.9841 | + | 20.7754i | 1.32549 | + | 0.765273i | ||||
\(738\) | 1.06904 | + | 0.188501i | 0.0393519 | + | 0.00693881i | ||||
\(739\) | −18.0069 | − | 31.1888i | −0.662393 | − | 1.14730i | −0.979985 | − | 0.199071i | \(-0.936208\pi\) |
0.317592 | − | 0.948228i | \(-0.397126\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.13516 | − | 1.35283i | 0.0417012 | − | 0.0496976i | ||||
\(742\) | 60.3759 | + | 71.9532i | 2.21647 | + | 2.64148i | ||||
\(743\) | 23.0508 | + | 27.4709i | 0.845653 | + | 1.00781i | 0.999805 | + | 0.0197626i | \(0.00629103\pi\) |
−0.154152 | + | 0.988047i | \(0.549265\pi\) | |||||||
\(744\) | −17.8819 | − | 49.1301i | −0.655583 | − | 1.80120i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −9.66725 | − | 16.7442i | −0.353943 | − | 0.613048i | ||||
\(747\) | −17.0797 | − | 20.3548i | −0.624913 | − | 0.744743i | ||||
\(748\) | 35.5997 | + | 20.5535i | 1.30165 | + | 0.751510i | ||||
\(749\) | 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 | \(0.271660\pi\) | |||||||
\(752\) | 30.4162 | − | 5.36319i | 1.10916 | − | 0.195575i | ||||
\(753\) | −1.80256 | − | 10.2228i | −0.0656888 | − | 0.372540i | ||||
\(754\) | 63.1473 | + | 52.9869i | 2.29969 | + | 1.92967i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −60.8289 | + | 35.1196i | −2.21233 | + | 1.27729i | ||||
\(757\) | − | 24.2172i | − | 0.880189i | −0.897952 | − | 0.440094i | \(-0.854945\pi\) | ||
0.897952 | − | 0.440094i | \(-0.145055\pi\) | |||||||
\(758\) | 44.0814 | − | 52.5342i | 1.60111 | − | 1.90813i | ||||
\(759\) | 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 | \(0.309060\pi\) | |||||||
\(762\) | −0.534876 | + | 0.926433i | −0.0193765 | + | 0.0335611i | ||||
\(763\) | −0.446476 | − | 0.0787257i | −0.0161635 | − | 0.00285006i | ||||
\(764\) | −12.3118 | + | 21.3247i | −0.445425 | + | 0.771499i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.0373 | + | 22.5813i | 0.471057 | + | 0.815895i | ||||
\(767\) | −6.85099 | − | 18.8229i | −0.247375 | − | 0.679657i | ||||
\(768\) | −9.17431 | + | 52.0301i | −0.331049 | + | 1.87747i | ||||
\(769\) | −0.682733 | + | 0.572881i | −0.0246200 | + | 0.0206586i | −0.655015 | − | 0.755616i | \(-0.727338\pi\) |
0.630395 | + | 0.776275i | \(0.282893\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.7888 | + | 1.90236i | 0.388549 | + | 0.0685117i | ||||
\(772\) | 38.2121 | + | 104.987i | 1.37528 | + | 3.77856i | ||||
\(773\) | −26.6217 | + | 15.3701i | −0.957516 | + | 0.552822i | −0.895408 | − | 0.445247i | \(-0.853116\pi\) |
−0.0621086 | + | 0.998069i |