Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(25,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.e (of order \(3\), degree \(2\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(0.500000 - 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.25 |
Dual form | 126.2.e.c.121.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.64400 | − | 0.545231i | −0.949162 | − | 0.314789i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.794182 | + | 1.37556i | −0.355169 | + | 0.615171i | −0.987147 | − | 0.159816i | \(-0.948910\pi\) |
0.631978 | + | 0.774986i | \(0.282243\pi\) | |||||||
\(6\) | 1.64400 | + | 0.545231i | 0.671159 | + | 0.222590i | ||||
\(7\) | 1.23855 | + | 2.33795i | 0.468128 | + | 0.883661i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.40545 | + | 1.79272i | 0.801815 | + | 0.597572i | ||||
\(10\) | 0.794182 | − | 1.37556i | 0.251142 | − | 0.434991i | ||||
\(11\) | 0.794182 | + | 1.37556i | 0.239455 | + | 0.414748i | 0.960558 | − | 0.278080i | \(-0.0896979\pi\) |
−0.721103 | + | 0.692828i | \(0.756365\pi\) | |||||||
\(12\) | −1.64400 | − | 0.545231i | −0.474581 | − | 0.157395i | ||||
\(13\) | 2.40545 | + | 4.16635i | 0.667151 | + | 1.15554i | 0.978697 | + | 0.205308i | \(0.0658196\pi\) |
−0.311547 | + | 0.950231i | \(0.600847\pi\) | |||||||
\(14\) | −1.23855 | − | 2.33795i | −0.331016 | − | 0.624843i | ||||
\(15\) | 2.05563 | − | 1.82841i | 0.530762 | − | 0.472093i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.69963 | + | 4.67589i | −0.654756 | + | 1.13407i | 0.327199 | + | 0.944955i | \(0.393895\pi\) |
−0.981955 | + | 0.189115i | \(0.939438\pi\) | |||||||
\(18\) | −2.40545 | − | 1.79272i | −0.566969 | − | 0.422547i | ||||
\(19\) | −3.54944 | − | 6.14781i | −0.814298 | − | 1.41041i | −0.909831 | − | 0.414979i | \(-0.863789\pi\) |
0.0955331 | − | 0.995426i | \(-0.469544\pi\) | |||||||
\(20\) | −0.794182 | + | 1.37556i | −0.177584 | + | 0.307585i | ||||
\(21\) | −0.761450 | − | 4.51887i | −0.166162 | − | 0.986098i | ||||
\(22\) | −0.794182 | − | 1.37556i | −0.169320 | − | 0.293271i | ||||
\(23\) | −0.150186 | + | 0.260130i | −0.0313159 | + | 0.0542408i | −0.881259 | − | 0.472634i | \(-0.843303\pi\) |
0.849943 | + | 0.526875i | \(0.176636\pi\) | |||||||
\(24\) | 1.64400 | + | 0.545231i | 0.335579 | + | 0.111295i | ||||
\(25\) | 1.23855 | + | 2.14523i | 0.247710 | + | 0.429046i | ||||
\(26\) | −2.40545 | − | 4.16635i | −0.471747 | − | 0.817089i | ||||
\(27\) | −2.97710 | − | 4.25874i | −0.572943 | − | 0.819595i | ||||
\(28\) | 1.23855 | + | 2.33795i | 0.234064 | + | 0.441830i | ||||
\(29\) | 4.13781 | − | 7.16689i | 0.768371 | − | 1.33086i | −0.170074 | − | 0.985431i | \(-0.554401\pi\) |
0.938446 | − | 0.345427i | \(-0.112266\pi\) | |||||||
\(30\) | −2.05563 | + | 1.82841i | −0.375305 | + | 0.333820i | ||||
\(31\) | −2.71201 | −0.487091 | −0.243545 | − | 0.969889i | \(-0.578311\pi\) | ||||
−0.243545 | + | 0.969889i | \(0.578311\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.555632 | − | 2.69443i | −0.0967231 | − | 0.469041i | ||||
\(34\) | 2.69963 | − | 4.67589i | 0.462982 | − | 0.801909i | ||||
\(35\) | −4.19963 | − | 0.153051i | −0.709867 | − | 0.0258703i | ||||
\(36\) | 2.40545 | + | 1.79272i | 0.400908 | + | 0.298786i | ||||
\(37\) | 0.500000 | + | 0.866025i | 0.0821995 | + | 0.142374i | 0.904194 | − | 0.427121i | \(-0.140472\pi\) |
−0.821995 | + | 0.569495i | \(0.807139\pi\) | |||||||
\(38\) | 3.54944 | + | 6.14781i | 0.575796 | + | 0.997307i | ||||
\(39\) | −1.68292 | − | 8.16100i | −0.269483 | − | 1.30681i | ||||
\(40\) | 0.794182 | − | 1.37556i | 0.125571 | − | 0.217496i | ||||
\(41\) | 2.93818 | + | 5.08907i | 0.458866 | + | 0.794780i | 0.998901 | − | 0.0468628i | \(-0.0149223\pi\) |
−0.540035 | + | 0.841643i | \(0.681589\pi\) | |||||||
\(42\) | 0.761450 | + | 4.51887i | 0.117494 | + | 0.697277i | ||||
\(43\) | −0.833104 | + | 1.44298i | −0.127047 | + | 0.220052i | −0.922531 | − | 0.385922i | \(-0.873883\pi\) |
0.795484 | + | 0.605974i | \(0.207217\pi\) | |||||||
\(44\) | 0.794182 | + | 1.37556i | 0.119727 | + | 0.207374i | ||||
\(45\) | −4.37636 | + | 1.88510i | −0.652389 | + | 0.281014i | ||||
\(46\) | 0.150186 | − | 0.260130i | 0.0221437 | − | 0.0383540i | ||||
\(47\) | 2.66621 | 0.388906 | 0.194453 | − | 0.980912i | \(-0.437707\pi\) | ||||
0.194453 | + | 0.980912i | \(0.437707\pi\) | |||||||
\(48\) | −1.64400 | − | 0.545231i | −0.237290 | − | 0.0786973i | ||||
\(49\) | −3.93199 | + | 5.79133i | −0.561713 | + | 0.827332i | ||||
\(50\) | −1.23855 | − | 2.14523i | −0.175157 | − | 0.303382i | ||||
\(51\) | 6.98762 | − | 6.21523i | 0.978463 | − | 0.870306i | ||||
\(52\) | 2.40545 | + | 4.16635i | 0.333575 | + | 0.577769i | ||||
\(53\) | 2.44437 | − | 4.23377i | 0.335760 | − | 0.581553i | −0.647871 | − | 0.761750i | \(-0.724340\pi\) |
0.983630 | + | 0.180197i | \(0.0576736\pi\) | |||||||
\(54\) | 2.97710 | + | 4.25874i | 0.405132 | + | 0.579541i | ||||
\(55\) | −2.52290 | −0.340188 | ||||||||
\(56\) | −1.23855 | − | 2.33795i | −0.165508 | − | 0.312421i | ||||
\(57\) | 2.48329 | + | 12.0422i | 0.328920 | + | 1.59503i | ||||
\(58\) | −4.13781 | + | 7.16689i | −0.543321 | + | 0.941059i | ||||
\(59\) | 6.47710 | 0.843247 | 0.421623 | − | 0.906771i | \(-0.361460\pi\) | ||||
0.421623 | + | 0.906771i | \(0.361460\pi\) | |||||||
\(60\) | 2.05563 | − | 1.82841i | 0.265381 | − | 0.236047i | ||||
\(61\) | −4.47710 | −0.573234 | −0.286617 | − | 0.958045i | \(-0.592531\pi\) | ||||
−0.286617 | + | 0.958045i | \(0.592531\pi\) | |||||||
\(62\) | 2.71201 | 0.344425 | ||||||||
\(63\) | −1.21201 | + | 7.84417i | −0.152699 | + | 0.988273i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −7.64145 | −0.947805 | ||||||||
\(66\) | 0.555632 | + | 2.69443i | 0.0683936 | + | 0.331662i | ||||
\(67\) | −10.0531 | −1.22818 | −0.614090 | − | 0.789236i | \(-0.710477\pi\) | ||||
−0.614090 | + | 0.789236i | \(0.710477\pi\) | |||||||
\(68\) | −2.69963 | + | 4.67589i | −0.327378 | + | 0.567035i | ||||
\(69\) | 0.388736 | − | 0.345766i | 0.0467983 | − | 0.0416253i | ||||
\(70\) | 4.19963 | + | 0.153051i | 0.501952 | + | 0.0182931i | ||||
\(71\) | 12.7207 | 1.50967 | 0.754833 | − | 0.655917i | \(-0.227718\pi\) | ||||
0.754833 | + | 0.655917i | \(0.227718\pi\) | |||||||
\(72\) | −2.40545 | − | 1.79272i | −0.283485 | − | 0.211274i | ||||
\(73\) | 8.02654 | − | 13.9024i | 0.939436 | − | 1.62715i | 0.172909 | − | 0.984938i | \(-0.444683\pi\) |
0.766527 | − | 0.642213i | \(-0.221983\pi\) | |||||||
\(74\) | −0.500000 | − | 0.866025i | −0.0581238 | − | 0.100673i | ||||
\(75\) | −0.866524 | − | 4.20205i | −0.100058 | − | 0.485211i | ||||
\(76\) | −3.54944 | − | 6.14781i | −0.407149 | − | 0.705203i | ||||
\(77\) | −2.23236 | + | 3.56046i | −0.254401 | + | 0.405752i | ||||
\(78\) | 1.68292 | + | 8.16100i | 0.190553 | + | 0.924051i | ||||
\(79\) | 8.38688 | 0.943597 | 0.471799 | − | 0.881706i | \(-0.343605\pi\) | ||||
0.471799 | + | 0.881706i | \(0.343605\pi\) | |||||||
\(80\) | −0.794182 | + | 1.37556i | −0.0887922 | + | 0.153793i | ||||
\(81\) | 2.57234 | + | 8.62456i | 0.285816 | + | 0.958285i | ||||
\(82\) | −2.93818 | − | 5.08907i | −0.324467 | − | 0.561994i | ||||
\(83\) | 1.18292 | − | 2.04887i | 0.129842 | − | 0.224893i | −0.793773 | − | 0.608214i | \(-0.791886\pi\) |
0.923615 | + | 0.383321i | \(0.125220\pi\) | |||||||
\(84\) | −0.761450 | − | 4.51887i | −0.0830810 | − | 0.493049i | ||||
\(85\) | −4.28799 | − | 7.42702i | −0.465098 | − | 0.805573i | ||||
\(86\) | 0.833104 | − | 1.44298i | 0.0898359 | − | 0.155600i | ||||
\(87\) | −10.7101 | + | 9.52628i | −1.14825 | + | 1.02132i | ||||
\(88\) | −0.794182 | − | 1.37556i | −0.0846601 | − | 0.146636i | ||||
\(89\) | 1.60507 | + | 2.78007i | 0.170138 | + | 0.294687i | 0.938468 | − | 0.345367i | \(-0.112245\pi\) |
−0.768330 | + | 0.640054i | \(0.778912\pi\) | |||||||
\(90\) | 4.37636 | − | 1.88510i | 0.461308 | − | 0.198707i | ||||
\(91\) | −6.76145 | + | 10.7840i | −0.708793 | + | 1.13047i | ||||
\(92\) | −0.150186 | + | 0.260130i | −0.0156580 | + | 0.0271204i | ||||
\(93\) | 4.45853 | + | 1.47867i | 0.462328 | + | 0.153331i | ||||
\(94\) | −2.66621 | −0.274998 | ||||||||
\(95\) | 11.2756 | 1.15685 | ||||||||
\(96\) | 1.64400 | + | 0.545231i | 0.167790 | + | 0.0556474i | ||||
\(97\) | 0.712008 | − | 1.23323i | 0.0722934 | − | 0.125216i | −0.827613 | − | 0.561300i | \(-0.810302\pi\) |
0.899906 | + | 0.436084i | \(0.143635\pi\) | |||||||
\(98\) | 3.93199 | − | 5.79133i | 0.397191 | − | 0.585012i | ||||
\(99\) | −0.555632 | + | 4.73259i | −0.0558431 | + | 0.475643i | ||||
\(100\) | 1.23855 | + | 2.14523i | 0.123855 | + | 0.214523i | ||||
\(101\) | −6.01671 | − | 10.4212i | −0.598685 | − | 1.03695i | −0.993015 | − | 0.117984i | \(-0.962357\pi\) |
0.394330 | − | 0.918969i | \(-0.370977\pi\) | |||||||
\(102\) | −6.98762 | + | 6.21523i | −0.691878 | + | 0.615399i | ||||
\(103\) | 3.04944 | − | 5.28179i | 0.300470 | − | 0.520430i | −0.675772 | − | 0.737111i | \(-0.736190\pi\) |
0.976243 | + | 0.216680i | \(0.0695230\pi\) | |||||||
\(104\) | −2.40545 | − | 4.16635i | −0.235873 | − | 0.408545i | ||||
\(105\) | 6.82072 | + | 2.54138i | 0.665635 | + | 0.248014i | ||||
\(106\) | −2.44437 | + | 4.23377i | −0.237418 | + | 0.411220i | ||||
\(107\) | −1.54325 | − | 2.67299i | −0.149192 | − | 0.258408i | 0.781737 | − | 0.623608i | \(-0.214334\pi\) |
−0.930929 | + | 0.365200i | \(0.881001\pi\) | |||||||
\(108\) | −2.97710 | − | 4.25874i | −0.286472 | − | 0.409798i | ||||
\(109\) | 1.14400 | − | 1.98146i | 0.109575 | − | 0.189789i | −0.806023 | − | 0.591884i | \(-0.798384\pi\) |
0.915598 | + | 0.402095i | \(0.131718\pi\) | |||||||
\(110\) | 2.52290 | 0.240549 | ||||||||
\(111\) | −0.349814 | − | 1.69636i | −0.0332029 | − | 0.161011i | ||||
\(112\) | 1.23855 | + | 2.33795i | 0.117032 | + | 0.220915i | ||||
\(113\) | −9.73236 | − | 16.8569i | −0.915543 | − | 1.58577i | −0.806104 | − | 0.591774i | \(-0.798428\pi\) |
−0.109440 | − | 0.993993i | \(-0.534906\pi\) | |||||||
\(114\) | −2.48329 | − | 12.0422i | −0.232581 | − | 1.12786i | ||||
\(115\) | −0.238550 | − | 0.413181i | −0.0222449 | − | 0.0385293i | ||||
\(116\) | 4.13781 | − | 7.16689i | 0.384186 | − | 0.665429i | ||||
\(117\) | −1.68292 | + | 14.3342i | −0.155586 | + | 1.32520i | ||||
\(118\) | −6.47710 | −0.596265 | ||||||||
\(119\) | −14.2756 | − | 0.520259i | −1.30864 | − | 0.0476921i | ||||
\(120\) | −2.05563 | + | 1.82841i | −0.187653 | + | 0.166910i | ||||
\(121\) | 4.23855 | − | 7.34138i | 0.385323 | − | 0.667399i | ||||
\(122\) | 4.47710 | 0.405338 | ||||||||
\(123\) | −2.05563 | − | 9.96840i | −0.185350 | − | 0.898821i | ||||
\(124\) | −2.71201 | −0.243545 | ||||||||
\(125\) | −11.8764 | −1.06225 | ||||||||
\(126\) | 1.21201 | − | 7.84417i | 0.107974 | − | 0.698814i | ||||
\(127\) | −13.4400 | −1.19260 | −0.596302 | − | 0.802760i | \(-0.703364\pi\) | ||||
−0.596302 | + | 0.802760i | \(0.703364\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 2.15638 | − | 1.91802i | 0.189858 | − | 0.168872i | ||||
\(130\) | 7.64145 | 0.670199 | ||||||||
\(131\) | 1.58836 | − | 2.75113i | 0.138776 | − | 0.240367i | −0.788258 | − | 0.615345i | \(-0.789017\pi\) |
0.927034 | + | 0.374978i | \(0.122350\pi\) | |||||||
\(132\) | −0.555632 | − | 2.69443i | −0.0483616 | − | 0.234520i | ||||
\(133\) | 9.97710 | − | 15.9128i | 0.865124 | − | 1.37981i | ||||
\(134\) | 10.0531 | 0.868454 | ||||||||
\(135\) | 8.22253 | − | 0.712974i | 0.707683 | − | 0.0613631i | ||||
\(136\) | 2.69963 | − | 4.67589i | 0.231491 | − | 0.400955i | ||||
\(137\) | 10.6316 | + | 18.4145i | 0.908320 | + | 1.57326i | 0.816397 | + | 0.577491i | \(0.195968\pi\) |
0.0919231 | + | 0.995766i | \(0.470699\pi\) | |||||||
\(138\) | −0.388736 | + | 0.345766i | −0.0330914 | + | 0.0294336i | ||||
\(139\) | 6.52654 | + | 11.3043i | 0.553574 | + | 0.958818i | 0.998013 | + | 0.0630092i | \(0.0200698\pi\) |
−0.444439 | + | 0.895809i | \(0.646597\pi\) | |||||||
\(140\) | −4.19963 | − | 0.153051i | −0.354933 | − | 0.0129352i | ||||
\(141\) | −4.38323 | − | 1.45370i | −0.369135 | − | 0.122424i | ||||
\(142\) | −12.7207 | −1.06749 | ||||||||
\(143\) | −3.82072 | + | 6.61769i | −0.319505 | + | 0.553399i | ||||
\(144\) | 2.40545 | + | 1.79272i | 0.200454 | + | 0.149393i | ||||
\(145\) | 6.57234 | + | 11.3836i | 0.545803 | + | 0.945359i | ||||
\(146\) | −8.02654 | + | 13.9024i | −0.664281 | + | 1.15057i | ||||
\(147\) | 9.62178 | − | 7.37708i | 0.793591 | − | 0.608451i | ||||
\(148\) | 0.500000 | + | 0.866025i | 0.0410997 | + | 0.0711868i | ||||
\(149\) | −2.60439 | + | 4.51093i | −0.213360 | + | 0.369550i | −0.952764 | − | 0.303712i | \(-0.901774\pi\) |
0.739404 | + | 0.673262i | \(0.235107\pi\) | |||||||
\(150\) | 0.866524 | + | 4.20205i | 0.0707514 | + | 0.343096i | ||||
\(151\) | 0.261450 | + | 0.452845i | 0.0212765 | + | 0.0368520i | 0.876468 | − | 0.481461i | \(-0.159894\pi\) |
−0.855191 | + | 0.518313i | \(0.826560\pi\) | |||||||
\(152\) | 3.54944 | + | 6.14781i | 0.287898 | + | 0.498654i | ||||
\(153\) | −14.8764 | + | 6.40794i | −1.20268 | + | 0.518052i | ||||
\(154\) | 2.23236 | − | 3.56046i | 0.179889 | − | 0.286910i | ||||
\(155\) | 2.15383 | − | 3.73054i | 0.173000 | − | 0.299644i | ||||
\(156\) | −1.68292 | − | 8.16100i | −0.134741 | − | 0.653403i | ||||
\(157\) | 8.86398 | 0.707422 | 0.353711 | − | 0.935355i | \(-0.384920\pi\) | ||||
0.353711 | + | 0.935355i | \(0.384920\pi\) | |||||||
\(158\) | −8.38688 | −0.667224 | ||||||||
\(159\) | −6.32691 | + | 5.62755i | −0.501757 | + | 0.446294i | ||||
\(160\) | 0.794182 | − | 1.37556i | 0.0627856 | − | 0.108748i | ||||
\(161\) | −0.794182 | − | 0.0289431i | −0.0625903 | − | 0.00228104i | ||||
\(162\) | −2.57234 | − | 8.62456i | −0.202102 | − | 0.677610i | ||||
\(163\) | 10.9814 | + | 19.0204i | 0.860132 | + | 1.48979i | 0.871801 | + | 0.489860i | \(0.162952\pi\) |
−0.0116689 | + | 0.999932i | \(0.503714\pi\) | |||||||
\(164\) | 2.93818 | + | 5.08907i | 0.229433 | + | 0.397390i | ||||
\(165\) | 4.14764 | + | 1.37556i | 0.322893 | + | 0.107087i | ||||
\(166\) | −1.18292 | + | 2.04887i | −0.0918122 | + | 0.159023i | ||||
\(167\) | 1.65019 | + | 2.85821i | 0.127695 | + | 0.221175i | 0.922783 | − | 0.385319i | \(-0.125909\pi\) |
−0.795088 | + | 0.606494i | \(0.792575\pi\) | |||||||
\(168\) | 0.761450 | + | 4.51887i | 0.0587471 | + | 0.348638i | ||||
\(169\) | −5.07234 | + | 8.78555i | −0.390180 | + | 0.675812i | ||||
\(170\) | 4.28799 | + | 7.42702i | 0.328874 | + | 0.569626i | ||||
\(171\) | 2.48329 | − | 21.1514i | 0.189902 | − | 1.61749i | ||||
\(172\) | −0.833104 | + | 1.44298i | −0.0635236 | + | 0.110026i | ||||
\(173\) | 19.1075 | 1.45272 | 0.726360 | − | 0.687315i | \(-0.241211\pi\) | ||||
0.726360 | + | 0.687315i | \(0.241211\pi\) | |||||||
\(174\) | 10.7101 | − | 9.52628i | 0.811934 | − | 0.722185i | ||||
\(175\) | −3.48143 | + | 5.55264i | −0.263171 | + | 0.419740i | ||||
\(176\) | 0.794182 | + | 1.37556i | 0.0598637 | + | 0.103687i | ||||
\(177\) | −10.6483 | − | 3.53152i | −0.800377 | − | 0.265445i | ||||
\(178\) | −1.60507 | − | 2.78007i | −0.120305 | − | 0.208375i | ||||
\(179\) | −8.03706 | + | 13.9206i | −0.600718 | + | 1.04047i | 0.391994 | + | 0.919968i | \(0.371785\pi\) |
−0.992712 | + | 0.120507i | \(0.961548\pi\) | |||||||
\(180\) | −4.37636 | + | 1.88510i | −0.326194 | + | 0.140507i | ||||
\(181\) | 8.05308 | 0.598581 | 0.299291 | − | 0.954162i | \(-0.403250\pi\) | ||||
0.299291 | + | 0.954162i | \(0.403250\pi\) | |||||||
\(182\) | 6.76145 | − | 10.7840i | 0.501192 | − | 0.799366i | ||||
\(183\) | 7.36033 | + | 2.44105i | 0.544092 | + | 0.180448i | ||||
\(184\) | 0.150186 | − | 0.260130i | 0.0110719 | − | 0.0191770i | ||||
\(185\) | −1.58836 | −0.116779 | ||||||||
\(186\) | −4.45853 | − | 1.47867i | −0.326915 | − | 0.108421i | ||||
\(187\) | −8.57598 | −0.627138 | ||||||||
\(188\) | 2.66621 | 0.194453 | ||||||||
\(189\) | 6.26942 | − | 12.2350i | 0.456033 | − | 0.889963i | ||||
\(190\) | −11.2756 | −0.818019 | ||||||||
\(191\) | −23.9629 | −1.73389 | −0.866946 | − | 0.498402i | \(-0.833920\pi\) | ||||
−0.866946 | + | 0.498402i | \(0.833920\pi\) | |||||||
\(192\) | −1.64400 | − | 0.545231i | −0.118645 | − | 0.0393487i | ||||
\(193\) | 9.76509 | 0.702907 | 0.351453 | − | 0.936205i | \(-0.385688\pi\) | ||||
0.351453 | + | 0.936205i | \(0.385688\pi\) | |||||||
\(194\) | −0.712008 | + | 1.23323i | −0.0511192 | + | 0.0885410i | ||||
\(195\) | 12.5625 | + | 4.16635i | 0.899620 | + | 0.298359i | ||||
\(196\) | −3.93199 | + | 5.79133i | −0.280856 | + | 0.413666i | ||||
\(197\) | −18.2436 | −1.29980 | −0.649900 | − | 0.760020i | \(-0.725189\pi\) | ||||
−0.649900 | + | 0.760020i | \(0.725189\pi\) | |||||||
\(198\) | 0.555632 | − | 4.73259i | 0.0394871 | − | 0.336330i | ||||
\(199\) | 9.04944 | − | 15.6741i | 0.641498 | − | 1.11111i | −0.343601 | − | 0.939116i | \(-0.611647\pi\) |
0.985098 | − | 0.171991i | \(-0.0550200\pi\) | |||||||
\(200\) | −1.23855 | − | 2.14523i | −0.0875787 | − | 0.151691i | ||||
\(201\) | 16.5272 | + | 5.48125i | 1.16574 | + | 0.386618i | ||||
\(202\) | 6.01671 | + | 10.4212i | 0.423334 | + | 0.733236i | ||||
\(203\) | 21.8807 | + | 0.797418i | 1.53572 | + | 0.0559678i | ||||
\(204\) | 6.98762 | − | 6.21523i | 0.489231 | − | 0.435153i | ||||
\(205\) | −9.33379 | −0.651900 | ||||||||
\(206\) | −3.04944 | + | 5.28179i | −0.212465 | + | 0.368000i | ||||
\(207\) | −0.827603 | + | 0.356487i | −0.0575224 | + | 0.0247776i | ||||
\(208\) | 2.40545 | + | 4.16635i | 0.166788 | + | 0.288885i | ||||
\(209\) | 5.63781 | − | 9.76497i | 0.389975 | − | 0.675457i | ||||
\(210\) | −6.82072 | − | 2.54138i | −0.470675 | − | 0.175372i | ||||
\(211\) | 0.166208 | + | 0.287880i | 0.0114422 | + | 0.0198185i | 0.871690 | − | 0.490058i | \(-0.163024\pi\) |
−0.860248 | + | 0.509877i | \(0.829691\pi\) | |||||||
\(212\) | 2.44437 | − | 4.23377i | 0.167880 | − | 0.290776i | ||||
\(213\) | −20.9127 | − | 6.93570i | −1.43292 | − | 0.475227i | ||||
\(214\) | 1.54325 | + | 2.67299i | 0.105495 | + | 0.182722i | ||||
\(215\) | −1.32327 | − | 2.29197i | −0.0902464 | − | 0.156311i | ||||
\(216\) | 2.97710 | + | 4.25874i | 0.202566 | + | 0.289771i | ||||
\(217\) | −3.35896 | − | 6.34053i | −0.228021 | − | 0.430423i | ||||
\(218\) | −1.14400 | + | 1.98146i | −0.0774812 | + | 0.134201i | ||||
\(219\) | −20.7756 | + | 18.4791i | −1.40389 | + | 1.24870i | ||||
\(220\) | −2.52290 | −0.170094 | ||||||||
\(221\) | −25.9752 | −1.74728 | ||||||||
\(222\) | 0.349814 | + | 1.69636i | 0.0234780 | + | 0.113852i | ||||
\(223\) | 3.16621 | − | 5.48403i | 0.212025 | − | 0.367238i | −0.740323 | − | 0.672251i | \(-0.765328\pi\) |
0.952348 | + | 0.305013i | \(0.0986609\pi\) | |||||||
\(224\) | −1.23855 | − | 2.33795i | −0.0827541 | − | 0.156211i | ||||
\(225\) | −0.866524 | + | 7.38061i | −0.0577683 | + | 0.492040i | ||||
\(226\) | 9.73236 | + | 16.8569i | 0.647387 | + | 1.12131i | ||||
\(227\) | 11.6545 | + | 20.1862i | 0.773537 | + | 1.33981i | 0.935613 | + | 0.353028i | \(0.114848\pi\) |
−0.162075 | + | 0.986778i | \(0.551819\pi\) | |||||||
\(228\) | 2.48329 | + | 12.0422i | 0.164460 | + | 0.797517i | ||||
\(229\) | 2.47710 | − | 4.29046i | 0.163691 | − | 0.283522i | −0.772498 | − | 0.635017i | \(-0.780993\pi\) |
0.936190 | + | 0.351495i | \(0.114327\pi\) | |||||||
\(230\) | 0.238550 | + | 0.413181i | 0.0157295 | + | 0.0272443i | ||||
\(231\) | 5.61126 | − | 4.63623i | 0.369194 | − | 0.305041i | ||||
\(232\) | −4.13781 | + | 7.16689i | −0.271660 | + | 0.470529i | ||||
\(233\) | −7.13781 | − | 12.3630i | −0.467613 | − | 0.809930i | 0.531702 | − | 0.846932i | \(-0.321553\pi\) |
−0.999315 | + | 0.0370017i | \(0.988219\pi\) | |||||||
\(234\) | 1.68292 | − | 14.3342i | 0.110016 | − | 0.937057i | ||||
\(235\) | −2.11745 | + | 3.66754i | −0.138127 | + | 0.239244i | ||||
\(236\) | 6.47710 | 0.421623 | ||||||||
\(237\) | −13.7880 | − | 4.57279i | −0.895626 | − | 0.297034i | ||||
\(238\) | 14.2756 | + | 0.520259i | 0.925351 | + | 0.0337234i | ||||
\(239\) | 2.48762 | + | 4.30868i | 0.160911 | + | 0.278706i | 0.935196 | − | 0.354132i | \(-0.115224\pi\) |
−0.774285 | + | 0.632837i | \(0.781890\pi\) | |||||||
\(240\) | 2.05563 | − | 1.82841i | 0.132690 | − | 0.118023i | ||||
\(241\) | 6.50000 | + | 11.2583i | 0.418702 | + | 0.725213i | 0.995809 | − | 0.0914555i | \(-0.0291519\pi\) |
−0.577107 | + | 0.816668i | \(0.695819\pi\) | |||||||
\(242\) | −4.23855 | + | 7.34138i | −0.272464 | + | 0.471922i | ||||
\(243\) | 0.473458 | − | 15.5813i | 0.0303723 | − | 0.999539i | ||||
\(244\) | −4.47710 | −0.286617 | ||||||||
\(245\) | −4.84362 | − | 10.0081i | −0.309448 | − | 0.639392i | ||||
\(246\) | 2.05563 | + | 9.96840i | 0.131062 | + | 0.635562i | ||||
\(247\) | 17.0760 | − | 29.5765i | 1.08652 | − | 1.88191i | ||||
\(248\) | 2.71201 | 0.172213 | ||||||||
\(249\) | −3.06182 | + | 2.72338i | −0.194035 | + | 0.172587i | ||||
\(250\) | 11.8764 | 0.751127 | ||||||||
\(251\) | 2.43268 | 0.153549 | 0.0767746 | − | 0.997048i | \(-0.475538\pi\) | ||||
0.0767746 | + | 0.997048i | \(0.475538\pi\) | |||||||
\(252\) | −1.21201 | + | 7.84417i | −0.0763493 | + | 0.494136i | ||||
\(253\) | −0.477100 | −0.0299950 | ||||||||
\(254\) | 13.4400 | 0.843298 | ||||||||
\(255\) | 3.00000 | + | 14.5479i | 0.187867 | + | 0.911027i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 0.493810 | − | 0.855304i | 0.0308030 | − | 0.0533524i | −0.850213 | − | 0.526439i | \(-0.823527\pi\) |
0.881016 | + | 0.473087i | \(0.156860\pi\) | |||||||
\(258\) | −2.15638 | + | 1.91802i | −0.134250 | + | 0.119410i | ||||
\(259\) | −1.40545 | + | 2.24159i | −0.0873302 | + | 0.139286i | ||||
\(260\) | −7.64145 | −0.473902 | ||||||||
\(261\) | 22.8015 | − | 9.82166i | 1.41138 | − | 0.607946i | ||||
\(262\) | −1.58836 | + | 2.75113i | −0.0981295 | + | 0.169965i | ||||
\(263\) | −8.59269 | − | 14.8830i | −0.529848 | − | 0.917724i | −0.999394 | − | 0.0348158i | \(-0.988916\pi\) |
0.469545 | − | 0.882908i | \(-0.344418\pi\) | |||||||
\(264\) | 0.555632 | + | 2.69443i | 0.0341968 | + | 0.165831i | ||||
\(265\) | 3.88255 | + | 6.72477i | 0.238503 | + | 0.413099i | ||||
\(266\) | −9.97710 | + | 15.9128i | −0.611735 | + | 0.975675i | ||||
\(267\) | −1.12296 | − | 5.44556i | −0.0687237 | − | 0.333263i | ||||
\(268\) | −10.0531 | −0.614090 | ||||||||
\(269\) | 11.4523 | − | 19.8360i | 0.698262 | − | 1.20942i | −0.270807 | − | 0.962634i | \(-0.587291\pi\) |
0.969069 | − | 0.246791i | \(-0.0793761\pi\) | |||||||
\(270\) | −8.22253 | + | 0.712974i | −0.500407 | + | 0.0433902i | ||||
\(271\) | 7.00364 | + | 12.1307i | 0.425441 | + | 0.736885i | 0.996462 | − | 0.0840504i | \(-0.0267857\pi\) |
−0.571021 | + | 0.820936i | \(0.693452\pi\) | |||||||
\(272\) | −2.69963 | + | 4.67589i | −0.163689 | + | 0.283518i | ||||
\(273\) | 16.9956 | − | 14.0424i | 1.02862 | − | 0.849883i | ||||
\(274\) | −10.6316 | − | 18.4145i | −0.642279 | − | 1.11246i | ||||
\(275\) | −1.96727 | + | 3.40741i | −0.118631 | + | 0.205474i | ||||
\(276\) | 0.388736 | − | 0.345766i | 0.0233991 | − | 0.0208127i | ||||
\(277\) | −14.1476 | − | 24.5044i | −0.850049 | − | 1.47233i | −0.881163 | − | 0.472813i | \(-0.843239\pi\) |
0.0311139 | − | 0.999516i | \(-0.490095\pi\) | |||||||
\(278\) | −6.52654 | − | 11.3043i | −0.391436 | − | 0.677987i | ||||
\(279\) | −6.52359 | − | 4.86186i | −0.390557 | − | 0.291072i | ||||
\(280\) | 4.19963 | + | 0.153051i | 0.250976 | + | 0.00914654i | ||||
\(281\) | −8.79782 | + | 15.2383i | −0.524834 | + | 0.909039i | 0.474748 | + | 0.880122i | \(0.342539\pi\) |
−0.999582 | + | 0.0289175i | \(0.990794\pi\) | |||||||
\(282\) | 4.38323 | + | 1.45370i | 0.261018 | + | 0.0865665i | ||||
\(283\) | −18.5229 | −1.10107 | −0.550536 | − | 0.834811i | \(-0.685577\pi\) | ||||
−0.550536 | + | 0.834811i | \(0.685577\pi\) | |||||||
\(284\) | 12.7207 | 0.754833 | ||||||||
\(285\) | −18.5371 | − | 6.14781i | −1.09804 | − | 0.364165i | ||||
\(286\) | 3.82072 | − | 6.61769i | 0.225924 | − | 0.391312i | ||||
\(287\) | −8.25890 | + | 13.1724i | −0.487508 | + | 0.777541i | ||||
\(288\) | −2.40545 | − | 1.79272i | −0.141742 | − | 0.105637i | ||||
\(289\) | −6.07598 | − | 10.5239i | −0.357411 | − | 0.619054i | ||||
\(290\) | −6.57234 | − | 11.3836i | −0.385941 | − | 0.668470i | ||||
\(291\) | −1.84294 | + | 1.63922i | −0.108035 | + | 0.0960929i | ||||
\(292\) | 8.02654 | − | 13.9024i | 0.469718 | − | 0.813575i | ||||
\(293\) | −7.04256 | − | 12.1981i | −0.411431 | − | 0.712619i | 0.583616 | − | 0.812030i | \(-0.301638\pi\) |
−0.995046 | + | 0.0994108i | \(0.968304\pi\) | |||||||
\(294\) | −9.62178 | + | 7.37708i | −0.561154 | + | 0.430240i | ||||
\(295\) | −5.14400 | + | 8.90966i | −0.299495 | + | 0.518741i | ||||
\(296\) | −0.500000 | − | 0.866025i | −0.0290619 | − | 0.0503367i | ||||
\(297\) | 3.49381 | − | 7.47741i | 0.202731 | − | 0.433883i | ||||
\(298\) | 2.60439 | − | 4.51093i | 0.150868 | − | 0.261311i | ||||
\(299\) | −1.44506 | −0.0835698 | ||||||||
\(300\) | −0.866524 | − | 4.20205i | −0.0500288 | − | 0.242605i | ||||
\(301\) | −4.40545 | − | 0.160552i | −0.253926 | − | 0.00925405i | ||||
\(302\) | −0.261450 | − | 0.452845i | −0.0150448 | − | 0.0260583i | ||||
\(303\) | 4.20946 | + | 20.4130i | 0.241827 | + | 1.17270i | ||||
\(304\) | −3.54944 | − | 6.14781i | −0.203574 | − | 0.352601i | ||||
\(305\) | 3.55563 | − | 6.15854i | 0.203595 | − | 0.352637i | ||||
\(306\) | 14.8764 | − | 6.40794i | 0.850425 | − | 0.366318i | ||||
\(307\) | −5.85532 | −0.334180 | −0.167090 | − | 0.985942i | \(-0.553437\pi\) | ||||
−0.167090 | + | 0.985942i | \(0.553437\pi\) | |||||||
\(308\) | −2.23236 | + | 3.56046i | −0.127201 | + | 0.202876i | ||||
\(309\) | −7.89307 | + | 7.02059i | −0.449021 | + | 0.399387i | ||||
\(310\) | −2.15383 | + | 3.73054i | −0.122329 | + | 0.211880i | ||||
\(311\) | 0.810892 | 0.0459815 | 0.0229907 | − | 0.999736i | \(-0.492681\pi\) | ||||
0.0229907 | + | 0.999736i | \(0.492681\pi\) | |||||||
\(312\) | 1.68292 | + | 8.16100i | 0.0952765 | + | 0.462025i | ||||
\(313\) | 10.5760 | 0.597790 | 0.298895 | − | 0.954286i | \(-0.403382\pi\) | ||||
0.298895 | + | 0.954286i | \(0.403382\pi\) | |||||||
\(314\) | −8.86398 | −0.500223 | ||||||||
\(315\) | −9.82760 | − | 7.89689i | −0.553723 | − | 0.444940i | ||||
\(316\) | 8.38688 | 0.471799 | ||||||||
\(317\) | 12.1964 | 0.685018 | 0.342509 | − | 0.939515i | \(-0.388723\pi\) | ||||
0.342509 | + | 0.939515i | \(0.388723\pi\) | |||||||
\(318\) | 6.32691 | − | 5.62755i | 0.354796 | − | 0.315578i | ||||
\(319\) | 13.1447 | 0.735961 | ||||||||
\(320\) | −0.794182 | + | 1.37556i | −0.0443961 | + | 0.0768963i | ||||
\(321\) | 1.07970 | + | 5.23582i | 0.0602631 | + | 0.292235i | ||||
\(322\) | 0.794182 | + | 0.0289431i | 0.0442580 | + | 0.00161294i | ||||
\(323\) | 38.3287 | 2.13267 | ||||||||
\(324\) | 2.57234 | + | 8.62456i | 0.142908 | + | 0.479142i | ||||
\(325\) | −5.95853 | + | 10.3205i | −0.330520 | + | 0.572477i | ||||
\(326\) | −10.9814 | − | 19.0204i | −0.608205 | − | 1.05344i | ||||
\(327\) | −2.96108 | + | 2.63377i | −0.163748 | + | 0.145648i | ||||
\(328\) | −2.93818 | − | 5.08907i | −0.162234 | − | 0.280997i | ||||
\(329\) | 3.30223 | + | 6.23345i | 0.182058 | + | 0.343661i | ||||
\(330\) | −4.14764 | − | 1.37556i | −0.228320 | − | 0.0757223i | ||||
\(331\) | −15.6662 | −0.861093 | −0.430546 | − | 0.902568i | \(-0.641679\pi\) | ||||
−0.430546 | + | 0.902568i | \(0.641679\pi\) | |||||||
\(332\) | 1.18292 | − | 2.04887i | 0.0649211 | − | 0.112447i | ||||
\(333\) | −0.349814 | + | 2.97954i | −0.0191697 | + | 0.163278i | ||||
\(334\) | −1.65019 | − | 2.85821i | −0.0902942 | − | 0.156394i | ||||
\(335\) | 7.98398 | − | 13.8287i | 0.436211 | − | 0.755540i | ||||
\(336\) | −0.761450 | − | 4.51887i | −0.0415405 | − | 0.246525i | ||||
\(337\) | −4.21201 | − | 7.29541i | −0.229443 | − | 0.397406i | 0.728200 | − | 0.685364i | \(-0.240357\pi\) |
−0.957643 | + | 0.287958i | \(0.907024\pi\) | |||||||
\(338\) | 5.07234 | − | 8.78555i | 0.275899 | − | 0.477871i | ||||
\(339\) | 6.80903 | + | 33.0191i | 0.369816 | + | 1.79335i | ||||
\(340\) | −4.28799 | − | 7.42702i | −0.232549 | − | 0.402787i | ||||
\(341\) | −2.15383 | − | 3.73054i | −0.116636 | − | 0.202020i | ||||
\(342\) | −2.48329 | + | 21.1514i | −0.134281 | + | 1.14374i | ||||
\(343\) | −18.4098 | − | 2.01993i | −0.994035 | − | 0.109066i | ||||
\(344\) | 0.833104 | − | 1.44298i | 0.0449179 | − | 0.0778002i | ||||
\(345\) | 0.166896 | + | 0.809332i | 0.00898539 | + | 0.0435730i | ||||
\(346\) | −19.1075 | −1.02723 | ||||||||
\(347\) | 0.567323 | 0.0304555 | 0.0152277 | − | 0.999884i | \(-0.495153\pi\) | ||||
0.0152277 | + | 0.999884i | \(0.495153\pi\) | |||||||
\(348\) | −10.7101 | + | 9.52628i | −0.574124 | + | 0.510662i | ||||
\(349\) | −0.00364189 | + | 0.00630794i | −0.000194946 | + | 0.000337656i | −0.866123 | − | 0.499831i | \(-0.833395\pi\) |
0.865928 | + | 0.500169i | \(0.166729\pi\) | |||||||
\(350\) | 3.48143 | − | 5.55264i | 0.186090 | − | 0.296801i | ||||
\(351\) | 10.5822 | − | 22.6478i | 0.564835 | − | 1.20885i | ||||
\(352\) | −0.794182 | − | 1.37556i | −0.0423300 | − | 0.0733178i | ||||
\(353\) | −3.32691 | − | 5.76238i | −0.177074 | − | 0.306701i | 0.763803 | − | 0.645449i | \(-0.223330\pi\) |
−0.940877 | + | 0.338748i | \(0.889996\pi\) | |||||||
\(354\) | 10.6483 | + | 3.53152i | 0.565952 | + | 0.187698i | ||||
\(355\) | −10.1025 | + | 17.4981i | −0.536186 | + | 0.928702i | ||||
\(356\) | 1.60507 | + | 2.78007i | 0.0850688 | + | 0.147343i | ||||
\(357\) | 23.1854 | + | 8.63881i | 1.22710 | + | 0.457214i | ||||
\(358\) | 8.03706 | − | 13.9206i | 0.424772 | − | 0.735727i | ||||
\(359\) | −0.398568 | − | 0.690339i | −0.0210356 | − | 0.0364347i | 0.855316 | − | 0.518107i | \(-0.173363\pi\) |
−0.876352 | + | 0.481672i | \(0.840030\pi\) | |||||||
\(360\) | 4.37636 | − | 1.88510i | 0.230654 | − | 0.0993536i | ||||
\(361\) | −15.6971 | + | 27.1881i | −0.826162 | + | 1.43095i | ||||
\(362\) | −8.05308 | −0.423261 | ||||||||
\(363\) | −10.9709 | + | 9.75822i | −0.575823 | + | 0.512174i | ||||
\(364\) | −6.76145 | + | 10.7840i | −0.354396 | + | 0.565237i | ||||
\(365\) | 12.7491 | + | 22.0820i | 0.667317 | + | 1.15583i | ||||
\(366\) | −7.36033 | − | 2.44105i | −0.384731 | − | 0.127596i | ||||
\(367\) | 7.71634 | + | 13.3651i | 0.402790 | + | 0.697652i | 0.994061 | − | 0.108820i | \(-0.0347073\pi\) |
−0.591272 | + | 0.806472i | \(0.701374\pi\) | |||||||
\(368\) | −0.150186 | + | 0.260130i | −0.00782898 | + | 0.0135602i | ||||
\(369\) | −2.05563 | + | 17.5088i | −0.107012 | + | 0.911472i | ||||
\(370\) | 1.58836 | 0.0825751 | ||||||||
\(371\) | 12.9258 | + | 0.471067i | 0.671074 | + | 0.0244566i | ||||
\(372\) | 4.45853 | + | 1.47867i | 0.231164 | + | 0.0766655i | ||||
\(373\) | −5.12110 | + | 8.87000i | −0.265160 | + | 0.459271i | −0.967606 | − | 0.252467i | \(-0.918758\pi\) |
0.702445 | + | 0.711738i | \(0.252092\pi\) | |||||||
\(374\) | 8.57598 | 0.443454 | ||||||||
\(375\) | 19.5247 | + | 6.47536i | 1.00825 | + | 0.334386i | ||||
\(376\) | −2.66621 | −0.137499 | ||||||||
\(377\) | 39.8131 | 2.05048 | ||||||||
\(378\) | −6.26942 | + | 12.2350i | −0.322464 | + | 0.629299i | ||||
\(379\) | 25.0087 | 1.28461 | 0.642304 | − | 0.766450i | \(-0.277979\pi\) | ||||
0.642304 | + | 0.766450i | \(0.277979\pi\) | |||||||
\(380\) | 11.2756 | 0.578427 | ||||||||
\(381\) | 22.0952 | + | 7.32788i | 1.13197 | + | 0.375419i | ||||
\(382\) | 23.9629 | 1.22605 | ||||||||
\(383\) | 3.13348 | − | 5.42734i | 0.160113 | − | 0.277324i | −0.774796 | − | 0.632211i | \(-0.782147\pi\) |
0.934909 | + | 0.354887i | \(0.115481\pi\) | |||||||
\(384\) | 1.64400 | + | 0.545231i | 0.0838948 | + | 0.0278237i | ||||
\(385\) | −3.12474 | − | 5.89841i | −0.159251 | − | 0.300611i | ||||
\(386\) | −9.76509 | −0.497030 | ||||||||
\(387\) | −4.59084 | + | 1.97749i | −0.233365 | + | 0.100521i | ||||
\(388\) | 0.712008 | − | 1.23323i | 0.0361467 | − | 0.0626080i | ||||
\(389\) | 10.8171 | + | 18.7357i | 0.548448 | + | 0.949940i | 0.998381 | + | 0.0568774i | \(0.0181144\pi\) |
−0.449933 | + | 0.893062i | \(0.648552\pi\) | |||||||
\(390\) | −12.5625 | − | 4.16635i | −0.636127 | − | 0.210972i | ||||
\(391\) | −0.810892 | − | 1.40451i | −0.0410086 | − | 0.0710290i | ||||
\(392\) | 3.93199 | − | 5.79133i | 0.198595 | − | 0.292506i | ||||
\(393\) | −4.11126 | + | 3.65682i | −0.207386 | + | 0.184462i | ||||
\(394\) | 18.2436 | 0.919098 | ||||||||
\(395\) | −6.66071 | + | 11.5367i | −0.335137 | + | 0.580473i | ||||
\(396\) | −0.555632 | + | 4.73259i | −0.0279216 | + | 0.237821i | ||||
\(397\) | 2.05308 | + | 3.55605i | 0.103041 | + | 0.178473i | 0.912936 | − | 0.408102i | \(-0.133809\pi\) |
−0.809895 | + | 0.586575i | \(0.800476\pi\) | |||||||
\(398\) | −9.04944 | + | 15.6741i | −0.453608 | + | 0.785671i | ||||
\(399\) | −25.0785 | + | 20.7207i | −1.25549 | + | 1.03733i | ||||
\(400\) | 1.23855 | + | 2.14523i | 0.0619275 | + | 0.107262i | ||||
\(401\) | −8.37085 | + | 14.4987i | −0.418021 | + | 0.724033i | −0.995740 | − | 0.0922024i | \(-0.970609\pi\) |
0.577720 | + | 0.816235i | \(0.303943\pi\) | |||||||
\(402\) | −16.5272 | − | 5.48125i | −0.824303 | − | 0.273380i | ||||
\(403\) | −6.52359 | − | 11.2992i | −0.324963 | − | 0.562853i | ||||
\(404\) | −6.01671 | − | 10.4212i | −0.299343 | − | 0.518476i | ||||
\(405\) | −13.9065 | − | 3.31105i | −0.691022 | − | 0.164527i | ||||
\(406\) | −21.8807 | − | 0.797418i | −1.08592 | − | 0.0395752i | ||||
\(407\) | −0.794182 | + | 1.37556i | −0.0393661 | + | 0.0681842i | ||||
\(408\) | −6.98762 | + | 6.21523i | −0.345939 | + | 0.307700i | ||||
\(409\) | −8.76509 | −0.433406 | −0.216703 | − | 0.976238i | \(-0.569530\pi\) | ||||
−0.216703 | + | 0.976238i | \(0.569530\pi\) | |||||||
\(410\) | 9.33379 | 0.460963 | ||||||||
\(411\) | −7.43818 | − | 36.0701i | −0.366898 | − | 1.77920i | ||||
\(412\) | 3.04944 | − | 5.28179i | 0.150235 | − | 0.260215i | ||||
\(413\) | 8.02221 | + | 15.1431i | 0.394747 | + | 0.745144i | ||||
\(414\) | 0.827603 | − | 0.356487i | 0.0406744 | − | 0.0175204i | ||||
\(415\) | 1.87890 | + | 3.25436i | 0.0922318 | + | 0.159750i | ||||
\(416\) | −2.40545 | − | 4.16635i | −0.117937 | − | 0.204272i | ||||
\(417\) | −4.56615 | − | 22.1427i | −0.223605 | − | 1.08433i | ||||
\(418\) | −5.63781 | + | 9.76497i | −0.275754 | + | 0.477620i | ||||
\(419\) | −0.210149 | − | 0.363988i | −0.0102664 | − | 0.0177820i | 0.860847 | − | 0.508865i | \(-0.169935\pi\) |
−0.871113 | + | 0.491083i | \(0.836601\pi\) | |||||||
\(420\) | 6.82072 | + | 2.54138i | 0.332817 | + | 0.124007i | ||||
\(421\) | 3.28799 | − | 5.69497i | 0.160247 | − | 0.277556i | −0.774710 | − | 0.632316i | \(-0.782104\pi\) |
0.934957 | + | 0.354761i | \(0.115438\pi\) | |||||||
\(422\) | −0.166208 | − | 0.287880i | −0.00809086 | − | 0.0140138i | ||||
\(423\) | 6.41342 | + | 4.77975i | 0.311831 | + | 0.232399i | ||||
\(424\) | −2.44437 | + | 4.23377i | −0.118709 | + | 0.205610i | ||||
\(425\) | −13.3745 | −0.648758 | ||||||||
\(426\) | 20.9127 | + | 6.93570i | 1.01323 | + | 0.336036i | ||||
\(427\) | −5.54511 | − | 10.4672i | −0.268347 | − | 0.506544i | ||||
\(428\) | −1.54325 | − | 2.67299i | −0.0745959 | − | 0.129204i | ||||
\(429\) | 9.88942 | − | 8.79628i | 0.477466 | − | 0.424688i | ||||
\(430\) | 1.32327 | + | 2.29197i | 0.0638138 | + | 0.110529i | ||||
\(431\) | 11.0439 | − | 19.1287i | 0.531968 | − | 0.921395i | −0.467336 | − | 0.884080i | \(-0.654786\pi\) |
0.999304 | − | 0.0373155i | \(-0.0118806\pi\) | |||||||
\(432\) | −2.97710 | − | 4.25874i | −0.143236 | − | 0.204899i | ||||
\(433\) | −9.43268 | −0.453306 | −0.226653 | − | 0.973976i | \(-0.572778\pi\) | ||||
−0.226653 | + | 0.973976i | \(0.572778\pi\) | |||||||
\(434\) | 3.35896 | + | 6.34053i | 0.161235 | + | 0.304355i | ||||
\(435\) | −4.59820 | − | 22.2981i | −0.220467 | − | 1.06911i | ||||
\(436\) | 1.14400 | − | 1.98146i | 0.0547875 | − | 0.0948947i | ||||
\(437\) | 2.13231 | 0.102002 | ||||||||
\(438\) | 20.7756 | − | 18.4791i | 0.992697 | − | 0.882967i | ||||
\(439\) | −31.2064 | −1.48940 | −0.744701 | − | 0.667398i | \(-0.767408\pi\) | ||||
−0.744701 | + | 0.667398i | \(0.767408\pi\) | |||||||
\(440\) | 2.52290 | 0.120275 | ||||||||
\(441\) | −19.8404 | + | 6.88179i | −0.944780 | + | 0.327704i | ||||
\(442\) | 25.9752 | 1.23552 | ||||||||
\(443\) | 13.0545 | 0.620236 | 0.310118 | − | 0.950698i | \(-0.399631\pi\) | ||||
0.310118 | + | 0.950698i | \(0.399631\pi\) | |||||||
\(444\) | −0.349814 | − | 1.69636i | −0.0166014 | − | 0.0805056i | ||||
\(445\) | −5.09888 | −0.241710 | ||||||||
\(446\) | −3.16621 | + | 5.48403i | −0.149924 | + | 0.259676i | ||||
\(447\) | 6.74110 | − | 5.99596i | 0.318843 | − | 0.283599i | ||||
\(448\) | 1.23855 | + | 2.33795i | 0.0585160 | + | 0.110458i | ||||
\(449\) | −9.91706 | −0.468015 | −0.234008 | − | 0.972235i | \(-0.575184\pi\) | ||||
−0.234008 | + | 0.972235i | \(0.575184\pi\) | |||||||
\(450\) | 0.866524 | − | 7.38061i | 0.0408484 | − | 0.347925i | ||||
\(451\) | −4.66690 | + | 8.08330i | −0.219756 | + | 0.380628i | ||||
\(452\) | −9.73236 | − | 16.8569i | −0.457772 | − | 0.792884i | ||||
\(453\) | −0.182918 | − | 0.887026i | −0.00859423 | − | 0.0416761i | ||||
\(454\) | −11.6545 | − | 20.1862i | −0.546974 | − | 0.947386i | ||||
\(455\) | −9.46431 | − | 17.8653i | −0.443694 | − | 0.837538i | ||||
\(456\) | −2.48329 | − | 12.0422i | −0.116291 | − | 0.563930i | ||||
\(457\) | −24.5229 | −1.14713 | −0.573566 | − | 0.819159i | \(-0.694441\pi\) | ||||
−0.573566 | + | 0.819159i | \(0.694441\pi\) | |||||||
\(458\) | −2.47710 | + | 4.29046i | −0.115747 | + | 0.200480i | ||||
\(459\) | 27.9505 | − | 2.42358i | 1.30462 | − | 0.113123i | ||||
\(460\) | −0.238550 | − | 0.413181i | −0.0111224 | − | 0.0192646i | ||||
\(461\) | 1.75526 | − | 3.04020i | 0.0817506 | − | 0.141596i | −0.822251 | − | 0.569125i | \(-0.807282\pi\) |
0.904002 | + | 0.427528i | \(0.140616\pi\) | |||||||
\(462\) | −5.61126 | + | 4.63623i | −0.261060 | + | 0.215697i | ||||
\(463\) | 8.69413 | + | 15.0587i | 0.404050 | + | 0.699836i | 0.994210 | − | 0.107451i | \(-0.0342687\pi\) |
−0.590160 | + | 0.807286i | \(0.700935\pi\) | |||||||
\(464\) | 4.13781 | − | 7.16689i | 0.192093 | − | 0.332715i | ||||
\(465\) | −5.57489 | + | 4.95866i | −0.258529 | + | 0.229952i | ||||
\(466\) | 7.13781 | + | 12.3630i | 0.330652 | + | 0.572707i | ||||
\(467\) | 6.69894 | + | 11.6029i | 0.309990 | + | 0.536918i | 0.978360 | − | 0.206911i | \(-0.0663410\pi\) |
−0.668370 | + | 0.743829i | \(0.733008\pi\) | |||||||
\(468\) | −1.68292 | + | 14.3342i | −0.0777929 | + | 0.662600i | ||||
\(469\) | −12.4512 | − | 23.5036i | −0.574945 | − | 1.08529i | ||||
\(470\) | 2.11745 | − | 3.66754i | 0.0976709 | − | 0.169171i | ||||
\(471\) | −14.5723 | − | 4.83292i | −0.671458 | − | 0.222689i | ||||
\(472\) | −6.47710 | −0.298133 | ||||||||
\(473\) | −2.64654 | −0.121688 | ||||||||
\(474\) | 13.7880 | + | 4.57279i | 0.633303 | + | 0.210035i | ||||
\(475\) | 8.79232 | − | 15.2287i | 0.403419 | − | 0.698743i | ||||
\(476\) | −14.2756 | − | 0.520259i | −0.654322 | − | 0.0238460i | ||||
\(477\) | 13.4697 | − | 5.80205i | 0.616737 | − | 0.265658i | ||||
\(478\) | −2.48762 | − | 4.30868i | −0.113781 | − | 0.197075i | ||||
\(479\) | −10.4029 | − | 18.0183i | −0.475321 | − | 0.823279i | 0.524280 | − | 0.851546i | \(-0.324335\pi\) |
−0.999600 | + | 0.0282667i | \(0.991001\pi\) | |||||||
\(480\) | −2.05563 | + | 1.82841i | −0.0938263 | + | 0.0834550i | ||||
\(481\) | −2.40545 | + | 4.16635i | −0.109679 | + | 0.189969i | ||||
\(482\) | −6.50000 | − | 11.2583i | −0.296067 | − | 0.512803i | ||||
\(483\) | 1.28985 | + | 0.480595i | 0.0586903 | + | 0.0218678i | ||||
\(484\) | 4.23855 | − | 7.34138i | 0.192661 | − | 0.333699i | ||||
\(485\) | 1.13093 | + | 1.95882i | 0.0513528 | + | 0.0889456i | ||||
\(486\) | −0.473458 | + | 15.5813i | −0.0214765 | + | 0.706781i | ||||
\(487\) | 16.2472 | − | 28.1410i | 0.736231 | − | 1.27519i | −0.217950 | − | 0.975960i | \(-0.569937\pi\) |
0.954181 | − | 0.299230i | \(-0.0967298\pi\) | |||||||
\(488\) | 4.47710 | 0.202669 | ||||||||
\(489\) | −7.68292 | − | 37.2569i | −0.347434 | − | 1.68481i | ||||
\(490\) | 4.84362 | + | 10.0081i | 0.218813 | + | 0.452118i | ||||
\(491\) | −9.66071 | − | 16.7328i | −0.435982 | − | 0.755142i | 0.561394 | − | 0.827549i | \(-0.310265\pi\) |
−0.997375 | + | 0.0724067i | \(0.976932\pi\) | |||||||
\(492\) | −2.05563 | − | 9.96840i | −0.0926751 | − | 0.449410i | ||||
\(493\) | 22.3411 | + | 38.6959i | 1.00619 | + | 1.74277i | ||||
\(494\) | −17.0760 | + | 29.5765i | −0.768285 | + | 1.33071i | ||||
\(495\) | −6.06870 | − | 4.52284i | −0.272768 | − | 0.203287i | ||||
\(496\) | −2.71201 | −0.121773 | ||||||||
\(497\) | 15.7552 | + | 29.7402i | 0.706717 | + | 1.33403i | ||||
\(498\) | 3.06182 | − | 2.72338i | 0.137204 | − | 0.122037i | ||||
\(499\) | 5.57530 | − | 9.65670i | 0.249585 | − | 0.432293i | −0.713826 | − | 0.700323i | \(-0.753039\pi\) |
0.963411 | + | 0.268030i | \(0.0863726\pi\) | |||||||
\(500\) | −11.8764 | −0.531127 | ||||||||
\(501\) | −1.15452 | − | 5.59861i | −0.0515800 | − | 0.250128i | ||||
\(502\) | −2.43268 | −0.108576 | ||||||||
\(503\) | −40.7651 | −1.81763 | −0.908813 | − | 0.417204i | \(-0.863010\pi\) | ||||
−0.908813 | + | 0.417204i | \(0.863010\pi\) | |||||||
\(504\) | 1.21201 | − | 7.84417i | 0.0539871 | − | 0.349407i | ||||
\(505\) | 19.1135 | 0.850537 | ||||||||
\(506\) | 0.477100 | 0.0212097 | ||||||||
\(507\) | 13.1291 | − | 11.6778i | 0.583082 | − | 0.518630i | ||||
\(508\) | −13.4400 | −0.596302 | ||||||||
\(509\) | −0.722528 | + | 1.25146i | −0.0320255 | + | 0.0554698i | −0.881594 | − | 0.472009i | \(-0.843529\pi\) |
0.849568 | + | 0.527478i | \(0.176862\pi\) | |||||||
\(510\) | −3.00000 | − | 14.5479i | −0.132842 | − | 0.644194i | ||||
\(511\) | 42.4443 | + | 1.54684i | 1.87762 | + | 0.0684280i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −15.6149 | + | 33.4188i | −0.689415 | + | 1.47548i | ||||
\(514\) | −0.493810 | + | 0.855304i | −0.0217810 | + | 0.0377259i | ||||
\(515\) | 4.84362 | + | 8.38940i | 0.213436 | + | 0.369681i | ||||
\(516\) | 2.15638 | − | 1.91802i | 0.0949292 | − | 0.0844360i | ||||
\(517\) | 2.11745 | + | 3.66754i | 0.0931255 | + | 0.161298i | ||||
\(518\) | 1.40545 | − | 2.24159i | 0.0617518 | − | 0.0984898i | ||||
\(519\) | −31.4127 | − | 10.4180i | −1.37887 | − | 0.457301i | ||||
\(520\) | 7.64145 | 0.335100 | ||||||||
\(521\) | 9.64214 | − | 16.7007i | 0.422430 | − | 0.731670i | −0.573747 | − | 0.819033i | \(-0.694511\pi\) |
0.996177 | + | 0.0873630i | \(0.0278440\pi\) | |||||||
\(522\) | −22.8015 | + | 9.82166i | −0.997993 | + | 0.429882i | ||||
\(523\) | −18.3454 | − | 31.7752i | −0.802189 | − | 1.38943i | −0.918173 | − | 0.396180i | \(-0.870335\pi\) |
0.115984 | − | 0.993251i | \(-0.462998\pi\) | |||||||
\(524\) | 1.58836 | − | 2.75113i | 0.0693880 | − | 0.120184i | ||||
\(525\) | 8.75093 | − | 7.23033i | 0.381922 | − | 0.315558i | ||||
\(526\) | 8.59269 | + | 14.8830i | 0.374659 | + | 0.648929i | ||||
\(527\) | 7.32141 | − | 12.6811i | 0.318926 | − | 0.552396i | ||||
\(528\) | −0.555632 | − | 2.69443i | −0.0241808 | − | 0.117260i | ||||
\(529\) | 11.4549 | + | 19.8404i | 0.498039 | + | 0.862628i | ||||
\(530\) | −3.88255 | − | 6.72477i | −0.168647 | − | 0.292105i | ||||
\(531\) | 15.5803 | + | 11.6116i | 0.676128 | + | 0.503900i | ||||
\(532\) | 9.97710 | − | 15.9128i | 0.432562 | − | 0.689907i | ||||
\(533\) | −14.1353 | + | 24.4830i | −0.612266 | + | 1.06048i | ||||
\(534\) | 1.12296 | + | 5.44556i | 0.0485950 | + | 0.235652i | ||||
\(535\) | 4.90249 | 0.211953 | ||||||||
\(536\) | 10.0531 | 0.434227 | ||||||||
\(537\) | 20.8028 | − | 18.5034i | 0.897709 | − | 0.798479i | ||||
\(538\) | −11.4523 | + | 19.8360i | −0.493745 | + | 0.855192i | ||||
\(539\) | −11.0891 | − | 0.809332i | −0.477639 | − | 0.0348604i | ||||
\(540\) | 8.22253 | − | 0.712974i | 0.353841 | − | 0.0306815i | ||||
\(541\) | −1.62543 | − | 2.81532i | −0.0698825 | − | 0.121040i | 0.828967 | − | 0.559298i | \(-0.188929\pi\) |
−0.898849 | + | 0.438258i | \(0.855596\pi\) | |||||||
\(542\) | −7.00364 | − | 12.1307i | −0.300832 | − | 0.521057i | ||||
\(543\) | −13.2392 | − | 4.39079i | −0.568150 | − | 0.188427i | ||||
\(544\) | 2.69963 | − | 4.67589i | 0.115746 | − | 0.200477i | ||||
\(545\) | 1.81708 | + | 3.14728i | 0.0778352 | + | 0.134815i | ||||
\(546\) | −16.9956 | + | 14.0424i | −0.727344 | + | 0.600958i | ||||
\(547\) | −2.95853 | + | 5.12432i | −0.126498 | + | 0.219100i | −0.922317 | − | 0.386433i | \(-0.873707\pi\) |
0.795820 | + | 0.605534i | \(0.207040\pi\) | |||||||
\(548\) | 10.6316 | + | 18.4145i | 0.454160 | + | 0.786628i | ||||
\(549\) | −10.7694 | − | 8.02617i | −0.459628 | − | 0.342548i | ||||
\(550\) | 1.96727 | − | 3.40741i | 0.0838846 | − | 0.145292i | ||||
\(551\) | −58.7476 | −2.50273 | ||||||||
\(552\) | −0.388736 | + | 0.345766i | −0.0165457 | + | 0.0147168i | ||||
\(553\) | 10.3876 | + | 19.6081i | 0.441724 | + | 0.833820i | ||||
\(554\) | 14.1476 | + | 24.5044i | 0.601076 | + | 1.04109i | ||||
\(555\) | 2.61126 | + | 0.866025i | 0.110842 | + | 0.0367607i | ||||
\(556\) | 6.52654 | + | 11.3043i | 0.276787 | + | 0.479409i | ||||
\(557\) | 12.8040 | − | 22.1772i | 0.542523 | − | 0.939678i | −0.456235 | − | 0.889859i | \(-0.650802\pi\) |
0.998758 | − | 0.0498188i | \(-0.0158644\pi\) | |||||||
\(558\) | 6.52359 | + | 4.86186i | 0.276166 | + | 0.205819i | ||||
\(559\) | −8.01594 | −0.339038 | ||||||||
\(560\) | −4.19963 | − | 0.153051i | −0.177467 | − | 0.00646758i | ||||
\(561\) | 14.0989 | + | 4.67589i | 0.595255 | + | 0.197416i | ||||
\(562\) | 8.79782 | − | 15.2383i | 0.371114 | − | 0.642788i | ||||
\(563\) | −46.6377 | −1.96555 | −0.982773 | − | 0.184817i | \(-0.940831\pi\) | ||||
−0.982773 | + | 0.184817i | \(0.940831\pi\) | |||||||
\(564\) | −4.38323 | − | 1.45370i | −0.184567 | − | 0.0612118i | ||||
\(565\) | 30.9171 | 1.30069 | ||||||||
\(566\) | 18.5229 | 0.778576 | ||||||||
\(567\) | −16.9778 | + | 16.6959i | −0.713000 | + | 0.701164i | ||||
\(568\) | −12.7207 | −0.533747 | ||||||||
\(569\) | 31.1978 | 1.30788 | 0.653939 | − | 0.756547i | \(-0.273115\pi\) | ||||
0.653939 | + | 0.756547i | \(0.273115\pi\) | |||||||
\(570\) | 18.5371 | + | 6.14781i | 0.776432 | + | 0.257504i | ||||
\(571\) | −15.6762 | −0.656030 | −0.328015 | − | 0.944672i | \(-0.606380\pi\) | ||||
−0.328015 | + | 0.944672i | \(0.606380\pi\) | |||||||
\(572\) | −3.82072 | + | 6.61769i | −0.159752 | + | 0.276699i | ||||
\(573\) | 39.3948 | + | 13.0653i | 1.64574 | + | 0.545811i | ||||
\(574\) | 8.25890 | − | 13.1724i | 0.344720 | − | 0.549804i | ||||
\(575\) | −0.744051 | −0.0310291 | ||||||||
\(576\) | 2.40545 | + | 1.79272i | 0.100227 | + | 0.0746965i | ||||
\(577\) | 6.99567 | − | 12.1169i | 0.291234 | − | 0.504431i | −0.682868 | − | 0.730542i | \(-0.739268\pi\) |
0.974102 | + | 0.226110i | \(0.0726010\pi\) | |||||||
\(578\) | 6.07598 | + | 10.5239i | 0.252728 | + | 0.437737i | ||||
\(579\) | −16.0538 | − | 5.32423i | −0.667172 | − | 0.221268i | ||||
\(580\) | 6.57234 | + | 11.3836i | 0.272902 | + | 0.472680i | ||||
\(581\) | 6.25526 | + | 0.227966i | 0.259512 | + | 0.00945763i | ||||
\(582\) | 1.84294 | − | 1.63922i | 0.0763921 | − | 0.0679480i | ||||
\(583\) | 7.76509 | 0.321597 | ||||||||
\(584\) | −8.02654 | + | 13.9024i | −0.332141 | + | 0.575285i | ||||
\(585\) | −18.3811 | − | 13.6989i | −0.759965 | − | 0.566382i | ||||
\(586\) | 7.04256 | + | 12.1981i | 0.290926 | + | 0.503898i | ||||
\(587\) | 1.44801 | − | 2.50803i | 0.0597658 | − | 0.103517i | −0.834594 | − | 0.550865i | \(-0.814298\pi\) |
0.894360 | + | 0.447348i | \(0.147631\pi\) | |||||||
\(588\) | 9.62178 | − | 7.37708i | 0.396796 | − | 0.304226i | ||||
\(589\) | 9.62612 | + | 16.6729i | 0.396637 | + | 0.686996i | ||||
\(590\) | 5.14400 | − | 8.90966i | 0.211775 | − | 0.366805i | ||||
\(591\) | 29.9924 | + | 9.94696i | 1.23372 | + | 0.409163i | ||||
\(592\) | 0.500000 | + | 0.866025i | 0.0205499 | + | 0.0355934i | ||||
\(593\) | −2.04394 | − | 3.54021i | −0.0839346 | − | 0.145379i | 0.821002 | − | 0.570925i | \(-0.193415\pi\) |
−0.904937 | + | 0.425546i | \(0.860082\pi\) | |||||||
\(594\) | −3.49381 | + | 7.47741i | −0.143353 | + | 0.306802i | ||||
\(595\) | 12.0531 | − | 19.2238i | 0.494128 | − | 0.788100i | ||||
\(596\) | −2.60439 | + | 4.51093i | −0.106680 | + | 0.184775i | ||||
\(597\) | −23.4233 | + | 20.8341i | −0.958650 | + | 0.852683i | ||||
\(598\) | 1.44506 | 0.0590928 | ||||||||
\(599\) | −19.7651 | −0.807580 | −0.403790 | − | 0.914852i | \(-0.632307\pi\) | ||||
−0.403790 | + | 0.914852i | \(0.632307\pi\) | |||||||
\(600\) | 0.866524 | + | 4.20205i | 0.0353757 | + | 0.171548i | ||||
\(601\) | −13.4320 | + | 23.2649i | −0.547902 | + | 0.948994i | 0.450516 | + | 0.892768i | \(0.351240\pi\) |
−0.998418 | + | 0.0562261i | \(0.982093\pi\) | |||||||
\(602\) | 4.40545 | + | 0.160552i | 0.179553 | + | 0.00654360i | ||||
\(603\) | −24.1822 | − | 18.0223i | −0.984773 | − | 0.733926i | ||||
\(604\) | 0.261450 | + | 0.452845i | 0.0106383 | + | 0.0184260i | ||||
\(605\) | 6.73236 | + | 11.6608i | 0.273709 | + | 0.474079i | ||||
\(606\) | −4.20946 | − | 20.4130i | −0.170998 | − | 0.829221i | ||||
\(607\) | 7.62110 | − | 13.2001i | 0.309331 | − | 0.535777i | −0.668885 | − | 0.743366i | \(-0.733228\pi\) |
0.978216 | + | 0.207589i | \(0.0665617\pi\) | |||||||
\(608\) | 3.54944 | + | 6.14781i | 0.143949 | + | 0.249327i | ||||
\(609\) | −35.5370 | − | 13.2410i | −1.44003 | − | 0.536552i | ||||
\(610\) | −3.55563 | + | 6.15854i | −0.143963 | + | 0.249352i | ||||
\(611\) | 6.41342 | + | 11.1084i | 0.259459 | + | 0.449396i | ||||
\(612\) | −14.8764 | + | 6.40794i | −0.601341 | + | 0.259026i | ||||
\(613\) | −1.36033 | + | 2.35617i | −0.0549434 | + | 0.0951648i | −0.892189 | − | 0.451662i | \(-0.850831\pi\) |
0.837246 | + | 0.546827i | \(0.184165\pi\) | |||||||
\(614\) | 5.85532 | 0.236301 | ||||||||
\(615\) | 15.3447 | + | 5.08907i | 0.618759 | + | 0.205211i | ||||
\(616\) | 2.23236 | − | 3.56046i | 0.0899444 | − | 0.143455i | ||||
\(617\) | −9.21812 | − | 15.9663i | −0.371108 | − | 0.642777i | 0.618629 | − | 0.785684i | \(-0.287689\pi\) |
−0.989736 | + | 0.142906i | \(0.954355\pi\) | |||||||
\(618\) | 7.89307 | − | 7.02059i | 0.317506 | − | 0.282410i | ||||
\(619\) | −0.0537728 | − | 0.0931373i | −0.00216131 | − | 0.00374350i | 0.864943 | − | 0.501871i | \(-0.167355\pi\) |
−0.867104 | + | 0.498127i | \(0.834021\pi\) | |||||||
\(620\) | 2.15383 | − | 3.73054i | 0.0864998 | − | 0.149822i | ||||
\(621\) | 1.55494 | − | 0.134829i | 0.0623977 | − | 0.00541050i | ||||
\(622\) | −0.810892 | −0.0325138 | ||||||||
\(623\) | −4.51169 | + | 7.19583i | −0.180757 | + | 0.288295i | ||||
\(624\) | −1.68292 | − | 8.16100i | −0.0673706 | − | 0.326701i | ||||
\(625\) | 3.23924 | − | 5.61053i | 0.129570 | − | 0.224421i | ||||
\(626\) | −10.5760 | −0.422701 | ||||||||
\(627\) | −14.5927 | + | 12.9797i | −0.582776 | + | 0.518358i | ||||
\(628\) | 8.86398 | 0.353711 | ||||||||
\(629\) | −5.39926 | −0.215282 | ||||||||
\(630\) | 9.82760 | + | 7.89689i | 0.391541 | + | 0.314620i | ||||
\(631\) | 35.7266 | 1.42225 | 0.711126 | − | 0.703064i | \(-0.248185\pi\) | ||||
0.711126 | + | 0.703064i | \(0.248185\pi\) | |||||||
\(632\) | −8.38688 | −0.333612 | ||||||||
\(633\) | −0.116283 | − | 0.563895i | −0.00462185 | − | 0.0224128i | ||||
\(634\) | −12.1964 | −0.484381 | ||||||||
\(635\) | 10.6738 | − | 18.4875i | 0.423576 | − | 0.733655i | ||||
\(636\) | −6.32691 | + | 5.62755i | −0.250878 | + | 0.223147i | ||||
\(637\) | −33.5869 | − | 2.45133i | −1.33076 | − | 0.0971254i | ||||
\(638\) | −13.1447 | −0.520403 | ||||||||
\(639\) | 30.5989 | + | 22.8045i | 1.21047 | + | 0.902134i | ||||
\(640\) | 0.794182 | − | 1.37556i | 0.0313928 | − | 0.0543739i | ||||
\(641\) | −8.65638 | − | 14.9933i | −0.341906 | − | 0.592199i | 0.642880 | − | 0.765967i | \(-0.277739\pi\) |
−0.984787 | + | 0.173767i | \(0.944406\pi\) | |||||||
\(642\) | −1.07970 | − | 5.23582i | −0.0426125 | − | 0.206641i | ||||
\(643\) | 14.4821 | + | 25.0838i | 0.571119 | + | 0.989207i | 0.996451 | + | 0.0841700i | \(0.0268239\pi\) |
−0.425332 | + | 0.905037i | \(0.639843\pi\) | |||||||
\(644\) | −0.794182 | − | 0.0289431i | −0.0312952 | − | 0.00114052i | ||||
\(645\) | 0.925798 | + | 4.48949i | 0.0364533 | + | 0.176773i | ||||
\(646\) | −38.3287 | −1.50802 | ||||||||
\(647\) | 1.27816 | − | 2.21384i | 0.0502497 | − | 0.0870350i | −0.839807 | − | 0.542886i | \(-0.817332\pi\) |
0.890056 | + | 0.455851i | \(0.150665\pi\) | |||||||
\(648\) | −2.57234 | − | 8.62456i | −0.101051 | − | 0.338805i | ||||
\(649\) | 5.14400 | + | 8.90966i | 0.201920 | + | 0.349735i | ||||
\(650\) | 5.95853 | − | 10.3205i | 0.233713 | − | 0.404802i | ||||
\(651\) | 2.06506 | + | 12.2552i | 0.0809360 | + | 0.480320i | ||||
\(652\) | 10.9814 | + | 19.0204i | 0.430066 | + | 0.744896i | ||||
\(653\) | −14.9883 | + | 25.9605i | −0.586538 | + | 1.01591i | 0.408144 | + | 0.912918i | \(0.366176\pi\) |
−0.994682 | + | 0.102996i | \(0.967157\pi\) | |||||||
\(654\) | 2.96108 | − | 2.63377i | 0.115787 | − | 0.102989i | ||||
\(655\) | 2.52290 | + | 4.36979i | 0.0985779 | + | 0.170742i | ||||
\(656\) | 2.93818 | + | 5.08907i | 0.114717 | + | 0.198695i | ||||
\(657\) | 44.2304 | − | 19.0521i | 1.72559 | − | 0.743294i | ||||
\(658\) | −3.30223 | − | 6.23345i | −0.128734 | − | 0.243005i | ||||
\(659\) | −7.63162 | + | 13.2183i | −0.297286 | + | 0.514914i | −0.975514 | − | 0.219937i | \(-0.929415\pi\) |
0.678228 | + | 0.734851i | \(0.262748\pi\) | |||||||
\(660\) | 4.14764 | + | 1.37556i | 0.161447 | + | 0.0535437i | ||||
\(661\) | −27.2522 | −1.05999 | −0.529994 | − | 0.848001i | \(-0.677806\pi\) | ||||
−0.529994 | + | 0.848001i | \(0.677806\pi\) | |||||||
\(662\) | 15.6662 | 0.608884 | ||||||||
\(663\) | 42.7032 | + | 14.1625i | 1.65845 | + | 0.550026i | ||||
\(664\) | −1.18292 | + | 2.04887i | −0.0459061 | + | 0.0795117i | ||||
\(665\) | 13.9654 | + | 26.3618i | 0.541555 | + | 1.02227i | ||||
\(666\) | 0.349814 | − | 2.97954i | 0.0135550 | − | 0.115455i | ||||
\(667\) | 1.24288 | + | 2.15273i | 0.0481245 | + | 0.0833541i | ||||
\(668\) | 1.65019 | + | 2.85821i | 0.0638476 | + | 0.110587i | ||||
\(669\) | −8.19530 | + | 7.28941i | −0.316849 | + | 0.281825i | ||||
\(670\) | −7.98398 | + | 13.8287i | −0.308448 | + | 0.534248i | ||||
\(671\) | −3.55563 | − | 6.15854i | −0.137264 | − | 0.237748i | ||||
\(672\) | 0.761450 | + | 4.51887i | 0.0293736 | + | 0.174319i | ||||
\(673\) | 23.2280 | − | 40.2320i | 0.895372 | − | 1.55083i | 0.0620280 | − | 0.998074i | \(-0.480243\pi\) |
0.833344 | − | 0.552755i | \(-0.186423\pi\) | |||||||
\(674\) | 4.21201 | + | 7.29541i | 0.162240 | + | 0.281009i | ||||
\(675\) | 5.44870 | − | 11.6612i | 0.209721 | − | 0.448841i | ||||
\(676\) | −5.07234 | + | 8.78555i | −0.195090 | + | 0.337906i | ||||
\(677\) | 5.09888 | 0.195966 | 0.0979830 | − | 0.995188i | \(-0.468761\pi\) | ||||
0.0979830 | + | 0.995188i | \(0.468761\pi\) | |||||||
\(678\) | −6.80903 | − | 33.0191i | −0.261499 | − | 1.26809i | ||||
\(679\) | 3.76509 | + | 0.137215i | 0.144491 | + | 0.00526582i | ||||
\(680\) | 4.28799 | + | 7.42702i | 0.164437 | + | 0.284813i | ||||
\(681\) | −8.15383 | − | 39.5405i | −0.312455 | − | 1.51519i | ||||
\(682\) | 2.15383 | + | 3.73054i | 0.0824743 | + | 0.142850i | ||||
\(683\) | −7.77197 | + | 13.4614i | −0.297386 | + | 0.515088i | −0.975537 | − | 0.219835i | \(-0.929448\pi\) |
0.678151 | + | 0.734923i | \(0.262782\pi\) | |||||||
\(684\) | 2.48329 | − | 21.1514i | 0.0949510 | − | 0.808743i | ||||
\(685\) | −33.7738 | −1.29043 | ||||||||
\(686\) | 18.4098 | + | 2.01993i | 0.702889 | + | 0.0771213i | ||||
\(687\) | −6.41164 | + | 5.70291i | −0.244619 | + | 0.217580i | ||||
\(688\) | −0.833104 | + | 1.44298i | −0.0317618 | + | 0.0550130i | ||||
\(689\) | 23.5192 | 0.896009 | ||||||||
\(690\) | −0.166896 | − | 0.809332i | −0.00635363 | − | 0.0308107i | ||||
\(691\) | 23.2967 | 0.886246 | 0.443123 | − | 0.896461i | \(-0.353870\pi\) | ||||
0.443123 | + | 0.896461i | \(0.353870\pi\) | |||||||
\(692\) | 19.1075 | 0.726360 | ||||||||
\(693\) | −11.7527 | + | 4.56251i | −0.446449 | + | 0.173315i | ||||
\(694\) | −0.567323 | −0.0215353 | ||||||||
\(695\) | −20.7330 | −0.786449 | ||||||||
\(696\) | 10.7101 | − | 9.52628i | 0.405967 | − | 0.361093i | ||||
\(697\) | −31.7280 | −1.20178 | ||||||||
\(698\) | 0.00364189 | − | 0.00630794i | 0.000137848 | − | 0.000238759i | ||||
\(699\) | 4.99381 | + | 24.2165i | 0.188883 | + | 0.915954i | ||||
\(700\) | −3.48143 | + | 5.55264i | −0.131586 | + | 0.209870i | ||||
\(701\) | −45.6464 | −1.72404 | −0.862020 | − | 0.506874i | \(-0.830801\pi\) | ||||
−0.862020 | + | 0.506874i | \(0.830801\pi\) | |||||||
\(702\) | −10.5822 | + | 22.6478i | −0.399398 | + | 0.854787i | ||||
\(703\) | 3.54944 | − | 6.14781i | 0.133870 | − | 0.231869i | ||||
\(704\) | 0.794182 | + | 1.37556i | 0.0299319 | + | 0.0518435i | ||||
\(705\) | 5.48074 | − | 4.87492i | 0.206417 | − | 0.183600i | ||||
\(706\) | 3.32691 | + | 5.76238i | 0.125210 | + | 0.216870i | ||||
\(707\) | 16.9123 | − | 26.9740i | 0.636053 | − | 1.01446i | ||||
\(708\) | −10.6483 | − | 3.53152i | −0.400189 | − | 0.132723i | ||||
\(709\) | 18.0014 | 0.676056 | 0.338028 | − | 0.941136i | \(-0.390240\pi\) | ||||
0.338028 | + | 0.941136i | \(0.390240\pi\) | |||||||
\(710\) | 10.1025 | − | 17.4981i | 0.379141 | − | 0.656692i | ||||
\(711\) | 20.1742 | + | 15.0353i | 0.756591 | + | 0.563867i | ||||
\(712\) | −1.60507 | − | 2.78007i | −0.0601527 | − | 0.104188i | ||||
\(713\) | 0.407305 | − | 0.705474i | 0.0152537 | − | 0.0264202i | ||||
\(714\) | −23.1854 | − | 8.63881i | −0.867691 | − | 0.323299i | ||||
\(715\) | −6.06870 | − | 10.5113i | −0.226957 | − | 0.393100i | ||||
\(716\) | −8.03706 | + | 13.9206i | −0.300359 | + | 0.520237i | ||||
\(717\) | −1.74041 | − | 8.43979i | −0.0649968 | − | 0.315190i | ||||
\(718\) | 0.398568 | + | 0.690339i | 0.0148744 | + | 0.0257632i | ||||
\(719\) | 18.4389 | + | 31.9371i | 0.687654 | + | 1.19105i | 0.972595 | + | 0.232506i | \(0.0746926\pi\) |
−0.284941 | + | 0.958545i | \(0.591974\pi\) | |||||||
\(720\) | −4.37636 | + | 1.88510i | −0.163097 | + | 0.0702536i | ||||
\(721\) | 16.1254 | + | 0.587674i | 0.600542 | + | 0.0218861i | ||||
\(722\) | 15.6971 | − | 27.1881i | 0.584185 | − | 1.01184i | ||||
\(723\) | −4.54758 | − | 22.0527i | −0.169126 | − | 0.820147i | ||||
\(724\) | 8.05308 | 0.299291 | ||||||||
\(725\) | 20.4995 | 0.761333 | ||||||||
\(726\) | 10.9709 | − | 9.75822i | 0.407169 | − | 0.362161i | ||||
\(727\) | 15.2429 | − | 26.4014i | 0.565327 | − | 0.979175i | −0.431692 | − | 0.902021i | \(-0.642083\pi\) |
0.997019 | − | 0.0771543i | \(-0.0245834\pi\) | |||||||
\(728\) | 6.76145 | − | 10.7840i | 0.250596 | − | 0.399683i | ||||
\(729\) | −9.27375 | + | 25.3574i | −0.343472 | + | 0.939163i | ||||
\(730\) | −12.7491 | − | 22.0820i | −0.471864 | − | 0.817293i | ||||
\(731\) | −4.49814 | − | 7.79101i | −0.166370 | − | 0.288161i | ||||
\(732\) | 7.36033 | + | 2.44105i | 0.272046 | + | 0.0902240i | ||||
\(733\) | −3.07530 | + | 5.32657i | −0.113589 | + | 0.196741i | −0.917215 | − | 0.398393i | \(-0.869568\pi\) |
0.803626 | + | 0.595135i | \(0.202901\pi\) | |||||||
\(734\) | −7.71634 | − | 13.3651i | −0.284815 | − | 0.493314i | ||||
\(735\) | 2.50619 | + | 19.0941i | 0.0924422 | + | 0.704297i | ||||
\(736\) | 0.150186 | − | 0.260130i | 0.00553593 | − | 0.00958851i | ||||
\(737\) | −7.98398 | − | 13.8287i | −0.294094 | − | 0.509385i | ||||
\(738\) | 2.05563 | − | 17.5088i | 0.0756689 | − | 0.644508i | ||||
\(739\) | −20.3912 | + | 35.3186i | −0.750103 | + | 1.29922i | 0.197670 | + | 0.980269i | \(0.436663\pi\) |
−0.947772 | + | 0.318947i | \(0.896671\pi\) | |||||||
\(740\) | −1.58836 | −0.0583894 | ||||||||
\(741\) | −44.1989 | + | 39.3132i | −1.62369 | + | 1.44421i | ||||
\(742\) | −12.9258 | − | 0.471067i | −0.474521 | − | 0.0172934i | ||||
\(743\) | 7.25271 | + | 12.5621i | 0.266076 | + | 0.460858i | 0.967845 | − | 0.251547i | \(-0.0809394\pi\) |
−0.701769 | + | 0.712405i | \(0.747606\pi\) | |||||||
\(744\) | −4.45853 | − | 1.47867i | −0.163458 | − | 0.0542107i | ||||
\(745\) | −4.13671 | − | 7.16500i | −0.151557 | − | 0.262505i | ||||
\(746\) | 5.12110 | − | 8.87000i | 0.187497 | − | 0.324754i | ||||
\(747\) | 6.51849 | − | 2.80782i | 0.238499 | − | 0.102733i | ||||
\(748\) | −8.57598 | −0.313569 | ||||||||
\(749\) | 4.33792 | − | 6.91867i | 0.158504 | − | 0.252803i | ||||
\(750\) | −19.5247 | − | 6.47536i | −0.712941 | − | 0.236447i | ||||
\(751\) | −2.09455 | + | 3.62787i | −0.0764314 | + | 0.132383i | −0.901708 | − | 0.432346i | \(-0.857686\pi\) |
0.825276 | + | 0.564729i | \(0.191019\pi\) | |||||||
\(752\) | 2.66621 | 0.0972266 | ||||||||
\(753\) | −3.99931 | − | 1.32637i | −0.145743 | − | 0.0483356i | ||||
\(754\) | −39.8131 | −1.44991 | ||||||||
\(755\) | −0.830556 | −0.0302270 | ||||||||
\(756\) | 6.26942 | − | 12.2350i | 0.228017 | − | 0.444981i | ||||
\(757\) | 2.38688 | 0.0867525 | 0.0433763 | − | 0.999059i | \(-0.486189\pi\) | ||||
0.0433763 | + | 0.999059i | \(0.486189\pi\) | |||||||
\(758\) | −25.0087 | −0.908355 | ||||||||
\(759\) | 0.784350 | + | 0.260130i | 0.0284701 | + | 0.00944211i | ||||
\(760\) | −11.2756 | −0.409009 | ||||||||
\(761\) | −1.81708 | + | 3.14728i | −0.0658692 | + | 0.114089i | −0.897079 | − | 0.441870i | \(-0.854315\pi\) |
0.831210 | + | 0.555959i | \(0.187649\pi\) | |||||||
\(762\) | −22.0952 | − | 7.32788i | −0.800426 | − | 0.265461i | ||||
\(763\) | 6.04944 | + | 0.220465i | 0.219005 | + | 0.00798138i | ||||
\(764\) | −23.9629 | −0.866946 | ||||||||
\(765\) | 3.00000 | − | 25.5524i | 0.108465 | − | 0.923851i | ||||
\(766\) | −3.13348 | + | 5.42734i | −0.113217 | + | 0.196098i | ||||
\(767\) | 15.5803 | + | 26.9859i | 0.562573 | + | 0.974404i | ||||
\(768\) | −1.64400 | − | 0.545231i | −0.0593226 | − | 0.0196743i | ||||
\(769\) | −19.9672 | − | 34.5842i | −0.720035 | − | 1.24714i | −0.960985 | − | 0.276600i | \(-0.910792\pi\) |
0.240950 | − | 0.970538i | \(-0.422541\pi\) | |||||||
\(770\) | 3.12474 | + | 5.89841i | 0.112608 | + | 0.212564i | ||||
\(771\) | −1.27816 | + | 1.13688i | −0.0460318 | + | 0.0409436i | ||||
\(772\) | 9.76509 | 0.351453 | ||||||||
\(773\) | 18.0698 | − | 31.2978i | 0.649925 | − | 1.12570i | −0.333215 | − | 0.942851i | \(-0.608133\pi\) |
0.983140 | − | 0.182853i | \(-0.0585332\pi\) | |||||||
\(774\) | 4.59084 | − | 1.97749i | 0.165014 | − | 0.0710793i | ||||
\(775\) | −3.35896 | − | 5.81788i | −0.120657 | − | 0.208985i | ||||
\(776\) | −0.712008 | + | 1.23323i | −0.0255596 | + | 0.0442705i | ||||
\(777\) | 3.53273 | − | 2.91887i | 0.126736 | − | 0.104714i | ||||
\(778\) | −10.8171 | − | 18.7357i | −0.387811 | − | 0.671709i | ||||
\(779\) | 20.8578 | − | 36.1267i | 0.747308 | − | 1.29438i | ||||
\(780\) | 12.5625 | + | 4.16635i | 0.449810 | + | 0.149179i | ||||
\(781\) | 10.1025 | + | 17.4981i | 0.361497 | + | 0.626131i | ||||
\(782\) | 0.810892 | + | 1.40451i | 0.0289974 | + | 0.0502251i | ||||
\(783\) | −42.8406 | + | 3.71470i | −1.53100 | + | 0.132753i | ||||
\(784\) | −3.93199 | + | 5.79133i | −0.140428 | + | 0.206833i | ||||
\(785\) | −7.03961 | + | 12.1930i | −0.251254 | + | 0.435186i | ||||
\(786\) | 4.11126 | − | 3.65682i | 0.146644 | − | 0.130434i | ||||
\(787\) | −44.6377 | −1.59116 | −0.795582 | − | 0.605846i | \(-0.792835\pi\) | ||||
−0.795582 | + | 0.605846i | \(0.792835\pi\) | |||||||
\(788\) | −18.2436 | −0.649900 | ||||||||
\(789\) | 6.01169 | + | 29.1526i | 0.214022 | + | 1.03786i | ||||
\(790\) | 6.66071 | − | 11.5367i | 0.236977 | − | 0.410457i | ||||
\(791\) | 27.3566 | − | 43.6319i | 0.972689 | − | 1.55137i | ||||
\(792\) | 0.555632 | − | 4.73259i | 0.0197435 | − | 0.168165i | ||||
\(793\) | −10.7694 | − | 18.6532i | −0.382433 | − | 0.662394i | ||||
\(794\) | −2.05308 | − | 3.55605i | −0.0728612 | − | 0.126199i | ||||
\(795\) | −2.71634 | − | 13.1724i | −0.0963386 | − | 0.467176i | ||||
\(796\) | 9.04944 | − | 15.6741i | 0.320749 | − | 0.555554i | ||||
\(797\) | 26.2836 | + | 45.5245i | 0.931012 | + | 1.61256i | 0.781595 | + | 0.623786i | \(0.214407\pi\) |
0.149418 | + | 0.988774i | \(0.452260\pi\) | |||||||
\(798\) | 25.0785 | − | 20.7207i | 0.887768 | − | 0.733506i | ||||
\(799\) | −7.19777 | + | 12.4669i | −0.254639 | + | 0.441047i | ||||
\(800\) | −1.23855 | − | 2.14523i | −0.0437894 | − | 0.0758454i | ||||
\(801\) | −1.12296 | + | 9.56475i | −0.0396777 | + | 0.337954i | ||||
\(802\) | 8.37085 | − | 14.4987i | 0.295585 | − | 0.511969i | ||||
\(803\) | 25.4981 | 0.899810 | ||||||||
\(804\) | 16.5272 | + | 5.48125i | 0.582870 | + | 0.193309i | ||||
\(805\) | 0.670538 | − | 1.06946i | 0.0236334 | − | 0.0376936i | ||||
\(806\) | 6.52359 | + | 11.2992i | 0.229784 | + | 0.397997i | ||||
\(807\) | −29.6428 | + | 26.3662i | −1.04348 | + | 0.928134i | ||||
\(808\) | 6.01671 | + | 10.4212i | 0.211667 | + | 0.366618i | ||||
\(809\) | 7.40290 | − | 12.8222i | 0.260272 | − | 0.450804i | −0.706042 | − | 0.708170i | \(-0.749521\pi\) |
0.966314 | + | 0.257365i | \(0.0828544\pi\) | |||||||
\(810\) | 13.9065 | + | 3.31105i | 0.488626 | + | 0.116338i | ||||
\(811\) | 27.0704 | 0.950571 | 0.475285 | − | 0.879832i | \(-0.342345\pi\) | ||||
0.475285 | + | 0.879832i | \(0.342345\pi\) | |||||||
\(812\) | 21.8807 | + | 0.797418i | 0.767862 | + | 0.0279839i | ||||
\(813\) | −4.89995 | − | 23.7614i | −0.171849 | − | 0.833348i | ||||
\(814\) | 0.794182 | − | 1.37556i | 0.0278361 | − | 0.0482135i | ||||
\(815\) | −34.8850 | −1.22197 | ||||||||
\(816\) | 6.98762 | − | 6.21523i | 0.244616 | − | 0.217577i | ||||
\(817\) | 11.8282 | 0.413817 | ||||||||
\(818\) | 8.76509 | 0.306464 | ||||||||
\(819\) | −35.5970 | + | 13.8191i | −1.24386 | + | 0.482878i | ||||
\(820\) | −9.33379 | −0.325950 | ||||||||
\(821\) | 43.8182 | 1.52926 | 0.764632 | − | 0.644467i | \(-0.222921\pi\) | ||||
0.764632 | + | 0.644467i | \(0.222921\pi\) | |||||||
\(822\) | 7.43818 | + | 36.0701i | 0.259436 | + | 1.25809i | ||||
\(823\) | 31.3425 | 1.09253 | 0.546265 | − | 0.837613i | \(-0.316049\pi\) | ||||
0.546265 | + | 0.837613i | \(0.316049\pi\) | |||||||
\(824\) | −3.04944 | + | 5.28179i | −0.106232 | + | 0.184000i | ||||
\(825\) | 5.09201 | − | 4.52915i | 0.177281 | − | 0.157685i | ||||
\(826\) | −8.02221 | − | 15.1431i | −0.279128 | − | 0.526896i | ||||
\(827\) | −14.7665 | −0.513480 | −0.256740 | − | 0.966480i | \(-0.582648\pi\) | ||||
−0.256740 | + | 0.966480i | \(0.582648\pi\) | |||||||
\(828\) | −0.827603 | + | 0.356487i | −0.0287612 | + | 0.0123888i | ||||
\(829\) | −15.0036 | + | 25.9871i | −0.521098 | + | 0.902568i | 0.478601 | + | 0.878033i | \(0.341144\pi\) |
−0.999699 | + | 0.0245357i | \(0.992189\pi\) | |||||||
\(830\) | −1.87890 | − | 3.25436i | −0.0652177 | − | 0.112960i | ||||
\(831\) | 9.89809 | + | 47.9989i | 0.343361 | + | 1.66506i | ||||
\(832\) | 2.40545 | + | 4.16635i | 0.0833938 | + | 0.144442i | ||||
\(833\) | −16.4647 | − | 34.0200i | −0.570469 | − | 1.17872i | ||||
\(834\) | 4.56615 | + | 22.1427i | 0.158113 | + | 0.766739i | ||||
\(835\) | −5.24219 | −0.181414 | ||||||||
\(836\) | 5.63781 | − | 9.76497i | 0.194988 | − | 0.337728i | ||||
\(837\) | 8.07392 | + | 11.5497i | 0.279075 | + | 0.399217i | ||||
\(838\) | 0.210149 | + | 0.363988i | 0.00725946 | + | 0.0125738i | ||||
\(839\) | 18.0167 | − | 31.2059i | 0.622006 | − | 1.07735i | −0.367106 | − | 0.930179i | \(-0.619651\pi\) |
0.989112 | − | 0.147167i | \(-0.0470154\pi\) | |||||||
\(840\) | −6.82072 | − | 2.54138i | −0.235337 | − | 0.0876860i | ||||
\(841\) | −19.7429 | − | 34.1957i | −0.680789 | − | 1.17916i | ||||
\(842\) | −3.28799 | + | 5.69497i | −0.113312 | + | 0.196262i | ||||
\(843\) | 22.7720 | − | 20.2548i | 0.784308 | − | 0.697613i | ||||
\(844\) | 0.166208 | + | 0.287880i | 0.00572110 | + | 0.00990923i | ||||
\(845\) | −8.05673 | − | 13.9547i | −0.277160 | − | 0.480055i | ||||
\(846\) | −6.41342 | − | 4.77975i | −0.220498 | − | 0.164331i | ||||
\(847\) | 22.4134 | + | 0.816833i | 0.770134 | + | 0.0280667i | ||||
\(848\) | 2.44437 | − | 4.23377i | 0.0839399 | − | 0.145388i | ||||
\(849\) | 30.4516 | + | 10.0993i | 1.04510 | + | 0.346606i | ||||
\(850\) | 13.3745 | 0.458741 | ||||||||
\(851\) | −0.300372 | −0.0102966 | ||||||||
\(852\) | −20.9127 | − | 6.93570i | −0.716458 | − | 0.237613i | ||||
\(853\) | −12.2658 | + | 21.2450i | −0.419972 | + | 0.727413i | −0.995936 | − | 0.0900617i | \(-0.971294\pi\) |
0.575964 | + | 0.817475i | \(0.304627\pi\) | |||||||
\(854\) | 5.54511 | + | 10.4672i | 0.189750 | + | 0.358181i | ||||
\(855\) | 27.1229 | + | 20.2140i | 0.927583 | + | 0.691303i | ||||
\(856\) | 1.54325 | + | 2.67299i | 0.0527473 | + | 0.0913610i | ||||
\(857\) | −14.5240 | − | 25.1563i | −0.496130 | − | 0.859323i | 0.503860 | − | 0.863785i | \(-0.331913\pi\) |
−0.999990 | + | 0.00446273i | \(0.998579\pi\) | |||||||
\(858\) | −9.88942 | + | 8.79628i | −0.337619 | + | 0.300300i | ||||
\(859\) | −12.6476 | + | 21.9064i | −0.431532 | + | 0.747435i | −0.997005 | − | 0.0773313i | \(-0.975360\pi\) |
0.565474 | + | 0.824766i | \(0.308693\pi\) | |||||||
\(860\) | −1.32327 | − | 2.29197i | −0.0451232 | − | 0.0781557i | ||||
\(861\) | 20.7596 | − | 17.1523i | 0.707485 | − | 0.584550i | ||||
\(862\) | −11.0439 | + | 19.1287i | −0.376158 | + | 0.651525i | ||||
\(863\) | −1.34981 | − | 2.33795i | −0.0459482 | − | 0.0795846i | 0.842137 | − | 0.539264i | \(-0.181298\pi\) |
−0.888085 | + | 0.459680i | \(0.847964\pi\) | |||||||
\(864\) | 2.97710 | + | 4.25874i | 0.101283 | + | 0.144885i | ||||
\(865\) | −15.1749 | + | 26.2836i | −0.515961 | + | 0.893671i | ||||
\(866\) | 9.43268 | 0.320535 | ||||||||
\(867\) | 4.25093 | + | 20.6141i | 0.144369 | + | 0.700091i | ||||
\(868\) | −3.35896 | − | 6.34053i | −0.114010 | − | 0.215212i | ||||
\(869\) | 6.66071 | + | 11.5367i | 0.225949 | + | 0.391355i | ||||
\(870\) | 4.59820 | + | 22.2981i | 0.155893 | + | 0.755976i | ||||
\(871\) | −24.1822 | − | 41.8847i | −0.819381 | − | 1.41921i | ||||
\(872\) | −1.14400 | + | 1.98146i | −0.0387406 | + | 0.0671007i | ||||
\(873\) | 3.92353 | − | 1.69005i | 0.132792 | − | 0.0571995i | ||||
\(874\) | −2.13231 | −0.0721263 | ||||||||
\(875\) | −14.7095 | − | 27.7663i | −0.497271 | − | 0.938672i | ||||
\(876\) | −20.7756 | + | 18.4791i | −0.701943 | + | 0.624352i | ||||
\(877\) | 5.54580 | − | 9.60561i | 0.187268 | − | 0.324358i | −0.757070 | − | 0.653334i | \(-0.773370\pi\) |
0.944339 | + | 0.328975i | \(0.106703\pi\) | |||||||
\(878\) | 31.2064 | 1.05317 | ||||||||
\(879\) | 4.92718 | + | 23.8934i | 0.166190 | + | 0.805905i | ||||
\(880\) | −2.52290 | −0.0850469 | ||||||||
\(881\) | −40.3942 | −1.36091 | −0.680457 | − | 0.732788i | \(-0.738219\pi\) | ||||
−0.680457 | + | 0.732788i | \(0.738219\pi\) | |||||||
\(882\) | 19.8404 | − | 6.88179i | 0.668061 | − | 0.231722i | ||||
\(883\) | −33.2581 | −1.11923 | −0.559613 | − | 0.828754i | \(-0.689050\pi\) | ||||
−0.559613 | + | 0.828754i | \(0.689050\pi\) | |||||||
\(884\) | −25.9752 | −0.873642 | ||||||||
\(885\) | 13.3145 | − | 11.8428i | 0.447563 | − | 0.398091i | ||||
\(886\) | −13.0545 | −0.438573 | ||||||||
\(887\) | −20.2836 | + | 35.1322i | −0.681056 | + | 1.17962i | 0.293603 | + | 0.955928i | \(0.405146\pi\) |
−0.974659 | + | 0.223696i | \(0.928188\pi\) | |||||||
\(888\) | 0.349814 | + | 1.69636i | 0.0117390 | + | 0.0569260i | ||||
\(889\) | −16.6461 | − | 31.4219i | −0.558291 | − | 1.05386i | ||||
\(890\) | 5.09888 | 0.170915 | ||||||||
\(891\) | −9.82072 | + | 10.3879i | −0.329007 | + | 0.348007i | ||||
\(892\) | 3.16621 | − | 5.48403i | 0.106012 | − | 0.183619i | ||||
\(893\) | −9.46355 | − | 16.3913i | −0.316686 | − | 0.548516i | ||||
\(894\) | −6.74110 | + | 5.99596i | −0.225456 | + | 0.200535i | ||||
\(895\) | −12.7658 | − | 22.1110i | −0.426713 | − | 0.739089i | ||||
\(896\) | −1.23855 | − | 2.33795i | −0.0413770 | − | 0.0781053i | ||||
\(897\) | 2.37567 | + | 0.787890i | 0.0793212 | + | 0.0263069i | ||||
\(898\) | 9.91706 | 0.330937 | ||||||||
\(899\) | −11.2218 | + | 19.4367i | −0.374267 | + | 0.648249i | ||||
\(900\) | −0.866524 | + | 7.38061i | −0.0288841 | + | 0.246020i | ||||
\(901\) | 13.1978 | + | 22.8592i | 0.439681 | + | 0.761551i | ||||
\(902\) | 4.66690 | − | 8.08330i | 0.155391 | − | 0.269144i | ||||
\(903\) | 7.15500 | + | 2.66593i | 0.238103 | + | 0.0887167i | ||||
\(904\) | 9.73236 | + | 16.8569i | 0.323693 | + | 0.560654i | ||||
\(905\) | −6.39561 | + | 11.0775i | −0.212597 | + | 0.368230i | ||||
\(906\) | 0.182918 | + | 0.887026i | 0.00607704 | + | 0.0294695i | ||||
\(907\) | −15.0567 | − | 26.0790i | −0.499950 | − | 0.865939i | 0.500050 | − | 0.865997i | \(-0.333315\pi\) |
−1.00000 | 5.72941e-5i | \(0.999982\pi\) | ||||||||
\(908\) | 11.6545 | + | 20.1862i | 0.386769 | + | 0.669903i | ||||
\(909\) | 4.20946 | − | 35.8540i | 0.139619 | − | 1.18920i | ||||
\(910\) | 9.46431 | + | 17.8653i | 0.313739 | + | 0.592229i | ||||
\(911\) | 14.6113 | − | 25.3075i | 0.484093 | − | 0.838473i | −0.515740 | − | 0.856745i | \(-0.672483\pi\) |
0.999833 | + | 0.0182717i | \(0.00581638\pi\) | |||||||
\(912\) | 2.48329 | + | 12.0422i | 0.0822299 | + | 0.398759i | ||||
\(913\) | 3.75781 | 0.124365 | ||||||||
\(914\) | 24.5229 | 0.811145 | ||||||||
\(915\) | −9.20327 | + | 8.18597i | −0.304251 | + | 0.270620i | ||||
\(916\) | 2.47710 | − | 4.29046i | 0.0818457 | − | 0.141761i | ||||
\(917\) | 8.39926 | + | 0.306102i | 0.277368 | + | 0.0101084i | ||||
\(918\) | −27.9505 | + | 2.42358i | −0.922503 | + | 0.0799902i | ||||
\(919\) | −5.52359 | − | 9.56714i | −0.182206 | − | 0.315591i | 0.760425 | − | 0.649426i | \(-0.224991\pi\) |
−0.942632 | + | 0.333835i | \(0.891657\pi\) | |||||||
\(920\) | 0.238550 | + | 0.413181i | 0.00786476 | + | 0.0136222i | ||||
\(921\) | 9.62612 | + | 3.19250i | 0.317191 | + | 0.105196i | ||||
\(922\) | −1.75526 | + | 3.04020i | −0.0578064 | + | 0.100124i | ||||
\(923\) | 30.5989 | + | 52.9988i | 1.00717 | + | 1.74448i | ||||
\(924\) | 5.61126 | − | 4.63623i | 0.184597 | − | 0.152521i | ||||
\(925\) | −1.23855 | + | 2.14523i | −0.0407233 | + | 0.0705348i | ||||
\(926\) | −8.69413 | − | 15.0587i | −0.285707 | − | 0.494859i | ||||
\(927\) | 16.8040 | − | 7.23828i | 0.551916 | − | 0.237736i | ||||
\(928\) | −4.13781 | + | 7.16689i | −0.135830 | + | 0.235265i | ||||
\(929\) | −42.3338 | −1.38893 | −0.694463 | − | 0.719528i | \(-0.744358\pi\) | ||||
−0.694463 | + | 0.719528i | \(0.744358\pi\) | |||||||
\(930\) | 5.57489 | − | 4.95866i | 0.182808 | − | 0.162601i | ||||
\(931\) | 49.5604 | + | 3.61715i | 1.62428 | + | 0.118547i | ||||
\(932\) | −7.13781 | − | 12.3630i | −0.233807 | − | 0.404965i | ||||
\(933\) | −1.33310 | − | 0.442124i | −0.0436439 | − | 0.0144745i | ||||
\(934\) | −6.69894 | − | 11.6029i | −0.219196 | − | 0.379659i | ||||
\(935\) | 6.81089 | − | 11.7968i | 0.222740 | − | 0.385797i | ||||
\(936\) | 1.68292 | − | 14.3342i | 0.0550079 | − | 0.468529i | ||||
\(937\) | −11.7651 | −0.384349 | −0.192174 | − | 0.981361i | \(-0.561554\pi\) | ||||
−0.192174 | + | 0.981361i | \(0.561554\pi\) | |||||||
\(938\) | 12.4512 | + | 23.5036i | 0.406548 | + | 0.767419i | ||||
\(939\) | −17.3869 | − | 5.76636i | −0.567399 | − | 0.188178i | ||||
\(940\) | −2.11745 | + | 3.66754i | −0.0690637 | + | 0.119622i | ||||
\(941\) | 14.5760 | 0.475164 | 0.237582 | − | 0.971368i | \(-0.423645\pi\) | ||||
0.237582 | + | 0.971368i | \(0.423645\pi\) | |||||||
\(942\) | 14.5723 | + | 4.83292i | 0.474793 | + | 0.157465i | ||||
\(943\) | −1.76509 | −0.0574793 | ||||||||
\(944\) | 6.47710 | 0.210812 | ||||||||
\(945\) | 11.8509 | + | 18.3408i | 0.385510 | + | 0.596626i | ||||
\(946\) | 2.64654 | 0.0860466 | ||||||||
\(947\) | 6.24357 | 0.202889 | 0.101444 | − | 0.994841i | \(-0.467654\pi\) | ||||
0.101444 | + | 0.994841i | \(0.467654\pi\) | |||||||
\(948\) | −13.7880 | − | 4.57279i | −0.447813 | − | 0.148517i | ||||
\(949\) | 77.2297 | 2.50698 | ||||||||
\(950\) | −8.79232 | + | 15.2287i | −0.285261 | + | 0.494086i | ||||
\(951\) | −20.0508 | − | 6.64985i | −0.650192 | − | 0.215636i | ||||
\(952\) | 14.2756 | + | 0.520259i | 0.462675 | + | 0.0168617i | ||||
\(953\) | 28.0173 | 0.907570 | 0.453785 | − | 0.891111i | \(-0.350073\pi\) | ||||
0.453785 | + | 0.891111i | \(0.350073\pi\) | |||||||
\(954\) | −13.4697 | + | 5.80205i | −0.436099 | + | 0.187848i | ||||
\(955\) | 19.0309 | − | 32.9624i | 0.615825 | − | 1.06664i | ||||
\(956\) | 2.48762 | + | 4.30868i | 0.0804554 | + | 0.139353i | ||||
\(957\) | −21.6098 | − | 7.16689i | −0.698546 | − | 0.231673i | ||||
\(958\) | 10.4029 | + | 18.0183i | 0.336102 | + | 0.582146i | ||||
\(959\) | −29.8843 | + | 47.6634i | −0.965015 | + | 1.53913i | ||||
\(960\) | 2.05563 | − | 1.82841i | 0.0663452 | − | 0.0590116i | ||||
\(961\) | −23.6450 | −0.762742 | ||||||||
\(962\) | 2.40545 | − | 4.16635i | 0.0775547 | − | 0.134329i | ||||
\(963\) | 1.07970 | − | 9.19635i | 0.0347929 | − | 0.296348i | ||||
\(964\) | 6.50000 | + | 11.2583i | 0.209351 | + | 0.362606i | ||||
\(965\) | −7.75526 | + | 13.4325i | −0.249651 | + | 0.432408i | ||||
\(966\) | −1.28985 | − | 0.480595i | −0.0415003 | − | 0.0154629i | ||||
\(967\) | 15.7837 | + | 27.3381i | 0.507568 | + | 0.879134i | 0.999962 | + | 0.00876132i | \(0.00278885\pi\) |
−0.492393 | + | 0.870373i | \(0.663878\pi\) | |||||||
\(968\) | −4.23855 | + | 7.34138i | −0.136232 | + | 0.235961i | ||||
\(969\) | −63.0122 | − | 20.8980i | −2.02424 | − | 0.671340i | ||||
\(970\) | −1.13093 | − | 1.95882i | −0.0363119 | − | 0.0628941i | ||||
\(971\) | 2.82141 | + | 4.88683i | 0.0905434 | + | 0.156826i | 0.907740 | − | 0.419533i | \(-0.137806\pi\) |
−0.817196 | + | 0.576359i | \(0.804473\pi\) | |||||||
\(972\) | 0.473458 | − | 15.5813i | 0.0151862 | − | 0.499769i | ||||
\(973\) | −18.3454 | + | 29.2596i | −0.588127 | + | 0.938021i | ||||
\(974\) | −16.2472 | + | 28.1410i | −0.520594 | + | 0.901696i | ||||
\(975\) | 15.4228 | − | 13.7180i | 0.493926 | − | 0.439329i | ||||
\(976\) | −4.47710 | −0.143308 | ||||||||
\(977\) | 6.49304 | 0.207731 | 0.103865 | − | 0.994591i | \(-0.466879\pi\) | ||||
0.103865 | + | 0.994591i | \(0.466879\pi\) | |||||||
\(978\) | 7.68292 | + | 37.2569i | 0.245673 | + | 1.19134i | ||||
\(979\) | −2.54944 | + | 4.41576i | −0.0814805 | + | 0.141128i | ||||
\(980\) | −4.84362 | − | 10.0081i | −0.154724 | − | 0.319696i | ||||
\(981\) | 6.30401 | − | 2.71543i | 0.201272 | − | 0.0866971i | ||||
\(982\) | 9.66071 | + | 16.7328i | 0.308286 | + | 0.533966i | ||||
\(983\) | 15.1531 | + | 26.2460i | 0.483310 | + | 0.837118i | 0.999816 | − | 0.0191658i | \(-0.00610104\pi\) |
−0.516506 | + | 0.856283i | \(0.672768\pi\) | |||||||
\(984\) | 2.05563 | + | 9.96840i | 0.0655312 | + | 0.317781i | ||||
\(985\) | 14.4887 | − | 25.0952i | 0.461649 | − | 0.799599i | ||||
\(986\) | −22.3411 | − | 38.6959i | −0.711485 | − | 1.23233i | ||||
\(987\) | −2.03018 | − | 12.0482i | −0.0646215 | − | 0.383500i | ||||
\(988\) | 17.0760 | − | 29.5765i | 0.543259 | − | 0.940953i | ||||
\(989\) | −0.250241 | − | 0.433430i | −0.00795720 | − | 0.0137823i | ||||
\(990\) | 6.06870 | + | 4.52284i | 0.192876 | + | 0.143745i | ||||
\(991\) | 11.1669 | − | 19.3416i | 0.354728 | − | 0.614407i | −0.632343 | − | 0.774688i | \(-0.717907\pi\) |
0.987071 | + | 0.160281i | \(0.0512401\pi\) | |||||||
\(992\) | 2.71201 | 0.0861063 | ||||||||
\(993\) | 25.7552 | + | 8.54170i | 0.817316 | + | 0.271063i | ||||
\(994\) | −15.7552 | − | 29.7402i | −0.499724 | − | 0.943303i | ||||
\(995\) | 14.3738 | + | 24.8962i | 0.455680 | + | 0.789262i | ||||
\(996\) | −3.06182 | + | 2.72338i | −0.0970175 | + | 0.0862935i | ||||
\(997\) | 4.38255 | + | 7.59079i | 0.138797 | + | 0.240403i | 0.927041 | − | 0.374959i | \(-0.122343\pi\) |
−0.788245 | + | 0.615362i | \(0.789010\pi\) | |||||||
\(998\) | −5.57530 | + | 9.65670i | −0.176483 | + | 0.305677i | ||||
\(999\) | 2.19963 | − | 4.70761i | 0.0695932 | − | 0.148942i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))