Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(61,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.u (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 541.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 570.541 |
Dual form | 570.2.u.b.511.1 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | 0.766044 | − | 0.642788i | 0.442276 | − | 0.371114i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 0.939693 | + | 0.342020i | 0.420243 | + | 0.152956i | ||||
\(6\) | −0.766044 | − | 0.642788i | −0.312736 | − | 0.262417i | ||||
\(7\) | −1.59240 | + | 2.75811i | −0.601869 | + | 1.04247i | 0.390669 | + | 0.920531i | \(0.372244\pi\) |
−0.992538 | + | 0.121937i | \(0.961090\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | 0.173648 | − | 0.984808i | 0.0549124 | − | 0.311424i | ||||
\(11\) | 2.17365 | + | 3.76487i | 0.655380 | + | 1.13515i | 0.981798 | + | 0.189926i | \(0.0608247\pi\) |
−0.326419 | + | 0.945225i | \(0.605842\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | 3.83022 | + | 3.21394i | 1.06231 | + | 0.891386i | 0.994334 | − | 0.106301i | \(-0.0339006\pi\) |
0.0679785 | + | 0.997687i | \(0.478345\pi\) | |||||||
\(14\) | 2.99273 | + | 1.08926i | 0.799840 | + | 0.291118i | ||||
\(15\) | 0.939693 | − | 0.342020i | 0.242628 | − | 0.0883092i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.162504 | + | 0.921605i | 0.0394130 | + | 0.223522i | 0.998152 | − | 0.0607653i | \(-0.0193541\pi\) |
−0.958739 | + | 0.284287i | \(0.908243\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.82635 | − | 3.31839i | −0.648410 | − | 0.761292i | ||||
\(20\) | −1.00000 | −0.223607 | ||||||||
\(21\) | 0.553033 | + | 3.13641i | 0.120682 | + | 0.684420i | ||||
\(22\) | 3.33022 | − | 2.79439i | 0.710006 | − | 0.595766i | ||||
\(23\) | 5.97178 | − | 2.17355i | 1.24520 | − | 0.453217i | 0.366425 | − | 0.930448i | \(-0.380582\pi\) |
0.878778 | + | 0.477231i | \(0.158360\pi\) | |||||||
\(24\) | 0.939693 | + | 0.342020i | 0.191814 | + | 0.0698146i | ||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | 2.50000 | − | 4.33013i | 0.490290 | − | 0.849208i | ||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | 0.553033 | − | 3.13641i | 0.104513 | − | 0.592725i | ||||
\(29\) | −0.879385 | + | 4.98724i | −0.163298 | + | 0.926108i | 0.787504 | + | 0.616309i | \(0.211373\pi\) |
−0.950802 | + | 0.309799i | \(0.899738\pi\) | |||||||
\(30\) | −0.500000 | − | 0.866025i | −0.0912871 | − | 0.158114i | ||||
\(31\) | 2.57398 | − | 4.45826i | 0.462300 | − | 0.800727i | −0.536775 | − | 0.843725i | \(-0.680358\pi\) |
0.999075 | + | 0.0429981i | \(0.0136910\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | 4.08512 | + | 1.48686i | 0.711129 | + | 0.258830i | ||||
\(34\) | 0.879385 | − | 0.320070i | 0.150813 | − | 0.0548916i | ||||
\(35\) | −2.43969 | + | 2.04715i | −0.412383 | + | 0.346031i | ||||
\(36\) | 0.173648 | + | 0.984808i | 0.0289414 | + | 0.164135i | ||||
\(37\) | −1.98545 | −0.326406 | −0.163203 | − | 0.986592i | \(-0.552183\pi\) | ||||
−0.163203 | + | 0.986592i | \(0.552183\pi\) | |||||||
\(38\) | −2.77719 | + | 3.35965i | −0.450520 | + | 0.545007i | ||||
\(39\) | 5.00000 | 0.800641 | ||||||||
\(40\) | 0.173648 | + | 0.984808i | 0.0274562 | + | 0.155712i | ||||
\(41\) | −8.08899 | + | 6.78747i | −1.26329 | + | 1.06002i | −0.267965 | + | 0.963429i | \(0.586351\pi\) |
−0.995324 | + | 0.0965961i | \(0.969204\pi\) | |||||||
\(42\) | 2.99273 | − | 1.08926i | 0.461788 | − | 0.168077i | ||||
\(43\) | −4.10607 | − | 1.49449i | −0.626169 | − | 0.227907i | 0.00939383 | − | 0.999956i | \(-0.497010\pi\) |
−0.635563 | + | 0.772049i | \(0.719232\pi\) | |||||||
\(44\) | −3.33022 | − | 2.79439i | −0.502050 | − | 0.421270i | ||||
\(45\) | 0.500000 | − | 0.866025i | 0.0745356 | − | 0.129099i | ||||
\(46\) | −3.17752 | − | 5.50362i | −0.468500 | − | 0.811465i | ||||
\(47\) | 1.59967 | − | 9.07218i | 0.233336 | − | 1.32331i | −0.612754 | − | 0.790274i | \(-0.709938\pi\) |
0.846090 | − | 0.533040i | \(-0.178950\pi\) | |||||||
\(48\) | 0.173648 | − | 0.984808i | 0.0250640 | − | 0.142145i | ||||
\(49\) | −1.57145 | − | 2.72183i | −0.224493 | − | 0.388833i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 0.716881 | + | 0.601535i | 0.100383 | + | 0.0842317i | ||||
\(52\) | −4.69846 | − | 1.71010i | −0.651560 | − | 0.237148i | ||||
\(53\) | 4.41875 | − | 1.60829i | 0.606962 | − | 0.220916i | −0.0202116 | − | 0.999796i | \(-0.506434\pi\) |
0.627173 | + | 0.778880i | \(0.284212\pi\) | |||||||
\(54\) | −0.766044 | + | 0.642788i | −0.104245 | + | 0.0874723i | ||||
\(55\) | 0.754900 | + | 4.28125i | 0.101791 | + | 0.577284i | ||||
\(56\) | −3.18479 | −0.425586 | ||||||||
\(57\) | −4.29813 | − | 0.725293i | −0.569302 | − | 0.0960674i | ||||
\(58\) | 5.06418 | 0.664959 | ||||||||
\(59\) | 2.31655 | + | 13.1378i | 0.301589 | + | 1.71040i | 0.639140 | + | 0.769091i | \(0.279291\pi\) |
−0.337550 | + | 0.941307i | \(0.609598\pi\) | |||||||
\(60\) | −0.766044 | + | 0.642788i | −0.0988959 | + | 0.0829835i | ||||
\(61\) | 8.21213 | − | 2.98897i | 1.05146 | − | 0.382699i | 0.242244 | − | 0.970215i | \(-0.422117\pi\) |
0.809212 | + | 0.587517i | \(0.199894\pi\) | |||||||
\(62\) | −4.83750 | − | 1.76070i | −0.614363 | − | 0.223610i | ||||
\(63\) | 2.43969 | + | 2.04715i | 0.307372 | + | 0.257916i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 2.50000 | + | 4.33013i | 0.310087 | + | 0.537086i | ||||
\(66\) | 0.754900 | − | 4.28125i | 0.0929218 | − | 0.526986i | ||||
\(67\) | 2.71688 | − | 15.4082i | 0.331920 | − | 1.88241i | −0.123830 | − | 0.992303i | \(-0.539518\pi\) |
0.455750 | − | 0.890108i | \(-0.349371\pi\) | |||||||
\(68\) | −0.467911 | − | 0.810446i | −0.0567426 | − | 0.0982810i | ||||
\(69\) | 3.17752 | − | 5.50362i | 0.382528 | − | 0.662558i | ||||
\(70\) | 2.43969 | + | 2.04715i | 0.291599 | + | 0.244681i | ||||
\(71\) | −10.5963 | − | 3.85673i | −1.25755 | − | 0.457709i | −0.374601 | − | 0.927186i | \(-0.622220\pi\) |
−0.882945 | + | 0.469477i | \(0.844442\pi\) | |||||||
\(72\) | 0.939693 | − | 0.342020i | 0.110744 | − | 0.0403075i | ||||
\(73\) | 12.7023 | − | 10.6585i | 1.48670 | − | 1.24749i | 0.588039 | − | 0.808832i | \(-0.299900\pi\) |
0.898656 | − | 0.438654i | \(-0.144544\pi\) | |||||||
\(74\) | 0.344770 | + | 1.95529i | 0.0400787 | + | 0.227298i | ||||
\(75\) | 1.00000 | 0.115470 | ||||||||
\(76\) | 3.79086 | + | 2.15160i | 0.434841 | + | 0.246806i | ||||
\(77\) | −13.8452 | −1.57781 | ||||||||
\(78\) | −0.868241 | − | 4.92404i | −0.0983089 | − | 0.557538i | ||||
\(79\) | −6.69459 | + | 5.61743i | −0.753201 | + | 0.632010i | −0.936347 | − | 0.351075i | \(-0.885816\pi\) |
0.183147 | + | 0.983086i | \(0.441372\pi\) | |||||||
\(80\) | 0.939693 | − | 0.342020i | 0.105061 | − | 0.0382390i | ||||
\(81\) | −0.939693 | − | 0.342020i | −0.104410 | − | 0.0380022i | ||||
\(82\) | 8.08899 | + | 6.78747i | 0.893280 | + | 0.749551i | ||||
\(83\) | −2.22668 | + | 3.85673i | −0.244410 | + | 0.423331i | −0.961966 | − | 0.273171i | \(-0.911928\pi\) |
0.717556 | + | 0.696501i | \(0.245261\pi\) | |||||||
\(84\) | −1.59240 | − | 2.75811i | −0.173745 | − | 0.300935i | ||||
\(85\) | −0.162504 | + | 0.921605i | −0.0176260 | + | 0.0999621i | ||||
\(86\) | −0.758770 | + | 4.30320i | −0.0818203 | + | 0.464026i | ||||
\(87\) | 2.53209 | + | 4.38571i | 0.271468 | + | 0.470197i | ||||
\(88\) | −2.17365 | + | 3.76487i | −0.231712 | + | 0.401336i | ||||
\(89\) | 9.21554 | + | 7.73275i | 0.976845 | + | 0.819670i | 0.983610 | − | 0.180307i | \(-0.0577091\pi\) |
−0.00676542 | + | 0.999977i | \(0.502154\pi\) | |||||||
\(90\) | −0.939693 | − | 0.342020i | −0.0990523 | − | 0.0360521i | ||||
\(91\) | −14.9636 | + | 5.44632i | −1.56861 | + | 0.570929i | ||||
\(92\) | −4.86824 | + | 4.08494i | −0.507549 | + | 0.425884i | ||||
\(93\) | −0.893933 | − | 5.06975i | −0.0926966 | − | 0.525708i | ||||
\(94\) | −9.21213 | −0.950159 | ||||||||
\(95\) | −1.52094 | − | 4.08494i | −0.156046 | − | 0.419106i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 2.05644 | + | 11.6626i | 0.208800 | + | 1.18416i | 0.891348 | + | 0.453320i | \(0.149761\pi\) |
−0.682548 | + | 0.730841i | \(0.739128\pi\) | |||||||
\(98\) | −2.40760 | + | 2.02022i | −0.243205 | + | 0.204073i | ||||
\(99\) | 4.08512 | − | 1.48686i | 0.410570 | − | 0.149435i | ||||
\(100\) | −0.939693 | − | 0.342020i | −0.0939693 | − | 0.0342020i | ||||
\(101\) | −4.84524 | − | 4.06564i | −0.482119 | − | 0.404546i | 0.369073 | − | 0.929400i | \(-0.379675\pi\) |
−0.851192 | + | 0.524855i | \(0.824120\pi\) | |||||||
\(102\) | 0.467911 | − | 0.810446i | 0.0463301 | − | 0.0802461i | ||||
\(103\) | −6.65657 | − | 11.5295i | −0.655892 | − | 1.13604i | −0.981669 | − | 0.190591i | \(-0.938959\pi\) |
0.325778 | − | 0.945446i | \(-0.394374\pi\) | |||||||
\(104\) | −0.868241 | + | 4.92404i | −0.0851380 | + | 0.482842i | ||||
\(105\) | −0.553033 | + | 3.13641i | −0.0539705 | + | 0.306082i | ||||
\(106\) | −2.35117 | − | 4.07234i | −0.228366 | − | 0.395541i | ||||
\(107\) | −6.00000 | + | 10.3923i | −0.580042 | + | 1.00466i | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | 0.766044 | + | 0.642788i | 0.0737127 | + | 0.0618523i | ||||
\(109\) | −8.59627 | − | 3.12879i | −0.823373 | − | 0.299683i | −0.104237 | − | 0.994552i | \(-0.533240\pi\) |
−0.719136 | + | 0.694869i | \(0.755462\pi\) | |||||||
\(110\) | 4.08512 | − | 1.48686i | 0.389501 | − | 0.141767i | ||||
\(111\) | −1.52094 | + | 1.27622i | −0.144362 | + | 0.121134i | ||||
\(112\) | 0.553033 | + | 3.13641i | 0.0522567 | + | 0.296363i | ||||
\(113\) | 9.19253 | 0.864761 | 0.432380 | − | 0.901691i | \(-0.357674\pi\) | ||||
0.432380 | + | 0.901691i | \(0.357674\pi\) | |||||||
\(114\) | 0.0320889 | + | 4.35878i | 0.00300540 | + | 0.408237i | ||||
\(115\) | 6.35504 | 0.592610 | ||||||||
\(116\) | −0.879385 | − | 4.98724i | −0.0816489 | − | 0.463054i | ||||
\(117\) | 3.83022 | − | 3.21394i | 0.354104 | − | 0.297129i | ||||
\(118\) | 12.5360 | − | 4.56272i | 1.15403 | − | 0.420032i | ||||
\(119\) | −2.80066 | − | 1.01936i | −0.256736 | − | 0.0934443i | ||||
\(120\) | 0.766044 | + | 0.642788i | 0.0699300 | + | 0.0586782i | ||||
\(121\) | −3.94949 | + | 6.84072i | −0.359045 | + | 0.621884i | ||||
\(122\) | −4.36959 | − | 7.56834i | −0.395604 | − | 0.685206i | ||||
\(123\) | −1.83363 | + | 10.3990i | −0.165332 | + | 0.937647i | ||||
\(124\) | −0.893933 | + | 5.06975i | −0.0802776 | + | 0.455277i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | 1.59240 | − | 2.75811i | 0.141862 | − | 0.245712i | ||||
\(127\) | −0.804063 | − | 0.674689i | −0.0713491 | − | 0.0598690i | 0.606416 | − | 0.795148i | \(-0.292607\pi\) |
−0.677765 | + | 0.735279i | \(0.737051\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −4.10607 | + | 1.49449i | −0.361519 | + | 0.131582i | ||||
\(130\) | 3.83022 | − | 3.21394i | 0.335933 | − | 0.281881i | ||||
\(131\) | −0.0444153 | − | 0.251892i | −0.00388058 | − | 0.0220079i | 0.982806 | − | 0.184641i | \(-0.0591123\pi\) |
−0.986687 | + | 0.162633i | \(0.948001\pi\) | |||||||
\(132\) | −4.34730 | −0.378384 | ||||||||
\(133\) | 13.6532 | − | 2.51120i | 1.18388 | − | 0.217748i | ||||
\(134\) | −15.6459 | −1.35160 | ||||||||
\(135\) | −0.173648 | − | 0.984808i | −0.0149453 | − | 0.0847588i | ||||
\(136\) | −0.716881 | + | 0.601535i | −0.0614721 | + | 0.0515812i | ||||
\(137\) | 11.2071 | − | 4.07904i | 0.957486 | − | 0.348496i | 0.184438 | − | 0.982844i | \(-0.440954\pi\) |
0.773048 | + | 0.634348i | \(0.218731\pi\) | |||||||
\(138\) | −5.97178 | − | 2.17355i | −0.508352 | − | 0.185025i | ||||
\(139\) | −12.4042 | − | 10.4084i | −1.05211 | − | 0.882826i | −0.0587966 | − | 0.998270i | \(-0.518726\pi\) |
−0.993314 | + | 0.115444i | \(0.963171\pi\) | |||||||
\(140\) | 1.59240 | − | 2.75811i | 0.134582 | − | 0.233103i | ||||
\(141\) | −4.60607 | − | 7.97794i | −0.387901 | − | 0.671864i | ||||
\(142\) | −1.95811 | + | 11.1050i | −0.164321 | + | 0.931911i | ||||
\(143\) | −3.77450 | + | 21.4063i | −0.315640 | + | 1.79008i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −2.53209 | + | 4.38571i | −0.210279 | + | 0.364213i | ||||
\(146\) | −12.7023 | − | 10.6585i | −1.05125 | − | 0.882106i | ||||
\(147\) | −2.95336 | − | 1.07494i | −0.243589 | − | 0.0886593i | ||||
\(148\) | 1.86571 | − | 0.679065i | 0.153361 | − | 0.0558188i | ||||
\(149\) | −1.90167 | + | 1.59569i | −0.155791 | + | 0.130724i | −0.717351 | − | 0.696712i | \(-0.754646\pi\) |
0.561560 | + | 0.827436i | \(0.310201\pi\) | |||||||
\(150\) | −0.173648 | − | 0.984808i | −0.0141783 | − | 0.0804092i | ||||
\(151\) | −4.28581 | −0.348774 | −0.174387 | − | 0.984677i | \(-0.555794\pi\) | ||||
−0.174387 | + | 0.984677i | \(0.555794\pi\) | |||||||
\(152\) | 1.46064 | − | 4.10689i | 0.118473 | − | 0.333113i | ||||
\(153\) | 0.935822 | 0.0756567 | ||||||||
\(154\) | 2.40420 | + | 13.6349i | 0.193736 | + | 1.09873i | ||||
\(155\) | 3.94356 | − | 3.30904i | 0.316755 | − | 0.265789i | ||||
\(156\) | −4.69846 | + | 1.71010i | −0.376178 | + | 0.136918i | ||||
\(157\) | −20.2062 | − | 7.35446i | −1.61263 | − | 0.586950i | −0.630673 | − | 0.776049i | \(-0.717221\pi\) |
−0.981958 | + | 0.189099i | \(0.939443\pi\) | |||||||
\(158\) | 6.69459 | + | 5.61743i | 0.532593 | + | 0.446899i | ||||
\(159\) | 2.35117 | − | 4.07234i | 0.186460 | − | 0.322958i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −3.51455 | + | 19.9320i | −0.276985 | + | 1.57086i | ||||
\(162\) | −0.173648 | + | 0.984808i | −0.0136431 | + | 0.0773738i | ||||
\(163\) | 3.75877 | + | 6.51038i | 0.294410 | + | 0.509932i | 0.974847 | − | 0.222873i | \(-0.0715437\pi\) |
−0.680438 | + | 0.732806i | \(0.738210\pi\) | |||||||
\(164\) | 5.27972 | − | 9.14473i | 0.412276 | − | 0.714084i | ||||
\(165\) | 3.33022 | + | 2.79439i | 0.259257 | + | 0.217543i | ||||
\(166\) | 4.18479 | + | 1.52314i | 0.324803 | + | 0.118219i | ||||
\(167\) | −12.2554 | + | 4.46059i | −0.948349 | + | 0.345171i | −0.769457 | − | 0.638698i | \(-0.779473\pi\) |
−0.178891 | + | 0.983869i | \(0.557251\pi\) | |||||||
\(168\) | −2.43969 | + | 2.04715i | −0.188226 | + | 0.157941i | ||||
\(169\) | 2.08378 | + | 11.8177i | 0.160291 | + | 0.909053i | ||||
\(170\) | 0.935822 | 0.0717743 | ||||||||
\(171\) | −3.75877 | + | 2.20718i | −0.287440 | + | 0.168787i | ||||
\(172\) | 4.36959 | 0.333178 | ||||||||
\(173\) | −0.0748553 | − | 0.424525i | −0.00569114 | − | 0.0322761i | 0.981830 | − | 0.189763i | \(-0.0607719\pi\) |
−0.987521 | + | 0.157487i | \(0.949661\pi\) | |||||||
\(174\) | 3.87939 | − | 3.25519i | 0.294095 | − | 0.246775i | ||||
\(175\) | −2.99273 | + | 1.08926i | −0.226229 | + | 0.0823406i | ||||
\(176\) | 4.08512 | + | 1.48686i | 0.307928 | + | 0.112077i | ||||
\(177\) | 10.2194 | + | 8.57510i | 0.768138 | + | 0.644544i | ||||
\(178\) | 6.01501 | − | 10.4183i | 0.450844 | − | 0.780885i | ||||
\(179\) | −7.77379 | − | 13.4646i | −0.581040 | − | 1.00639i | −0.995356 | − | 0.0962579i | \(-0.969313\pi\) |
0.414316 | − | 0.910133i | \(-0.364021\pi\) | |||||||
\(180\) | −0.173648 | + | 0.984808i | −0.0129430 | + | 0.0734032i | ||||
\(181\) | −0.263518 | + | 1.49449i | −0.0195872 | + | 0.111084i | −0.993034 | − | 0.117830i | \(-0.962406\pi\) |
0.973447 | + | 0.228914i | \(0.0735174\pi\) | |||||||
\(182\) | 7.96198 | + | 13.7906i | 0.590181 | + | 1.02222i | ||||
\(183\) | 4.36959 | − | 7.56834i | 0.323009 | − | 0.559468i | ||||
\(184\) | 4.86824 | + | 4.08494i | 0.358891 | + | 0.301146i | ||||
\(185\) | −1.86571 | − | 0.679065i | −0.137170 | − | 0.0499258i | ||||
\(186\) | −4.83750 | + | 1.76070i | −0.354702 | + | 0.129101i | ||||
\(187\) | −3.11650 | + | 2.61505i | −0.227901 | + | 0.191231i | ||||
\(188\) | 1.59967 | + | 9.07218i | 0.116668 | + | 0.661657i | ||||
\(189\) | 3.18479 | 0.231660 | ||||||||
\(190\) | −3.75877 | + | 2.20718i | −0.272690 | + | 0.160126i | ||||
\(191\) | 11.5621 | 0.836606 | 0.418303 | − | 0.908308i | \(-0.362625\pi\) | ||||
0.418303 | + | 0.908308i | \(0.362625\pi\) | |||||||
\(192\) | 0.173648 | + | 0.984808i | 0.0125320 | + | 0.0710724i | ||||
\(193\) | −1.63041 | + | 1.36808i | −0.117360 | + | 0.0984766i | −0.699579 | − | 0.714555i | \(-0.746629\pi\) |
0.582219 | + | 0.813032i | \(0.302185\pi\) | |||||||
\(194\) | 11.1284 | − | 4.05039i | 0.798969 | − | 0.290801i | ||||
\(195\) | 4.69846 | + | 1.71010i | 0.336464 | + | 0.122463i | ||||
\(196\) | 2.40760 | + | 2.02022i | 0.171972 | + | 0.144301i | ||||
\(197\) | 8.36618 | − | 14.4907i | 0.596066 | − | 1.03242i | −0.397330 | − | 0.917676i | \(-0.630063\pi\) |
0.993396 | − | 0.114740i | \(-0.0366036\pi\) | |||||||
\(198\) | −2.17365 | − | 3.76487i | −0.154474 | − | 0.267558i | ||||
\(199\) | 0.539830 | − | 3.06153i | 0.0382675 | − | 0.217026i | −0.959677 | − | 0.281104i | \(-0.909300\pi\) |
0.997945 | + | 0.0640779i | \(0.0204106\pi\) | |||||||
\(200\) | −0.173648 | + | 0.984808i | −0.0122788 | + | 0.0696364i | ||||
\(201\) | −7.82295 | − | 13.5497i | −0.551788 | − | 0.955725i | ||||
\(202\) | −3.16250 | + | 5.47762i | −0.222513 | + | 0.385404i | ||||
\(203\) | −12.3550 | − | 10.3671i | −0.867154 | − | 0.727628i | ||||
\(204\) | −0.879385 | − | 0.320070i | −0.0615693 | − | 0.0224094i | ||||
\(205\) | −9.92262 | + | 3.61154i | −0.693026 | + | 0.252241i | ||||
\(206\) | −10.1985 | + | 8.55753i | −0.710561 | + | 0.596231i | ||||
\(207\) | −1.10354 | − | 6.25849i | −0.0767014 | − | 0.434995i | ||||
\(208\) | 5.00000 | 0.346688 | ||||||||
\(209\) | 6.34982 | − | 17.8539i | 0.439226 | − | 1.23498i | ||||
\(210\) | 3.18479 | 0.219772 | ||||||||
\(211\) | −2.37851 | − | 13.4892i | −0.163743 | − | 0.928634i | −0.950351 | − | 0.311181i | \(-0.899276\pi\) |
0.786608 | − | 0.617453i | \(-0.211836\pi\) | |||||||
\(212\) | −3.60220 | + | 3.02260i | −0.247400 | + | 0.207593i | ||||
\(213\) | −10.5963 | + | 3.85673i | −0.726044 | + | 0.264258i | ||||
\(214\) | 11.2763 | + | 4.10424i | 0.770833 | + | 0.280560i | ||||
\(215\) | −3.34730 | − | 2.80872i | −0.228284 | − | 0.191553i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | 8.19759 | + | 14.1986i | 0.556488 | + | 0.963866i | ||||
\(218\) | −1.58853 | + | 9.00898i | −0.107589 | + | 0.610165i | ||||
\(219\) | 2.87939 | − | 16.3298i | 0.194571 | − | 1.10347i | ||||
\(220\) | −2.17365 | − | 3.76487i | −0.146547 | − | 0.253827i | ||||
\(221\) | −2.33956 | + | 4.05223i | −0.157376 | + | 0.272582i | ||||
\(222\) | 1.52094 | + | 1.27622i | 0.102079 | + | 0.0856545i | ||||
\(223\) | 6.85844 | + | 2.49627i | 0.459275 | + | 0.167162i | 0.561288 | − | 0.827621i | \(-0.310306\pi\) |
−0.102013 | + | 0.994783i | \(0.532528\pi\) | |||||||
\(224\) | 2.99273 | − | 1.08926i | 0.199960 | − | 0.0727795i | ||||
\(225\) | 0.766044 | − | 0.642788i | 0.0510696 | − | 0.0428525i | ||||
\(226\) | −1.59627 | − | 9.05288i | −0.106182 | − | 0.602188i | ||||
\(227\) | 7.47296 | 0.495998 | 0.247999 | − | 0.968760i | \(-0.420227\pi\) | ||||
0.247999 | + | 0.968760i | \(0.420227\pi\) | |||||||
\(228\) | 4.28699 | − | 0.788496i | 0.283913 | − | 0.0522194i | ||||
\(229\) | −7.19253 | −0.475296 | −0.237648 | − | 0.971351i | \(-0.576376\pi\) | ||||
−0.237648 | + | 0.971351i | \(0.576376\pi\) | |||||||
\(230\) | −1.10354 | − | 6.25849i | −0.0727653 | − | 0.412673i | ||||
\(231\) | −10.6061 | + | 8.89955i | −0.697828 | + | 0.585547i | ||||
\(232\) | −4.75877 | + | 1.73205i | −0.312429 | + | 0.113715i | ||||
\(233\) | −14.5817 | − | 5.30731i | −0.955280 | − | 0.347694i | −0.183098 | − | 0.983095i | \(-0.558613\pi\) |
−0.772182 | + | 0.635401i | \(0.780835\pi\) | |||||||
\(234\) | −3.83022 | − | 3.21394i | −0.250389 | − | 0.210102i | ||||
\(235\) | 4.60607 | − | 7.97794i | 0.300467 | − | 0.520424i | ||||
\(236\) | −6.67024 | − | 11.5532i | −0.434196 | − | 0.752049i | ||||
\(237\) | −1.51754 | + | 8.60640i | −0.0985749 | + | 0.559046i | ||||
\(238\) | −0.517541 | + | 2.93512i | −0.0335472 | + | 0.190256i | ||||
\(239\) | −7.55943 | − | 13.0933i | −0.488979 | − | 0.846936i | 0.510941 | − | 0.859616i | \(-0.329297\pi\) |
−0.999920 | + | 0.0126797i | \(0.995964\pi\) | |||||||
\(240\) | 0.500000 | − | 0.866025i | 0.0322749 | − | 0.0559017i | ||||
\(241\) | −4.39646 | − | 3.68907i | −0.283201 | − | 0.237634i | 0.490110 | − | 0.871660i | \(-0.336956\pi\) |
−0.773311 | + | 0.634027i | \(0.781401\pi\) | |||||||
\(242\) | 7.42262 | + | 2.70161i | 0.477144 | + | 0.173666i | ||||
\(243\) | −0.939693 | + | 0.342020i | −0.0602813 | + | 0.0219406i | ||||
\(244\) | −6.69459 | + | 5.61743i | −0.428577 | + | 0.359619i | ||||
\(245\) | −0.545759 | − | 3.09516i | −0.0348673 | − | 0.197742i | ||||
\(246\) | 10.5594 | 0.673245 | ||||||||
\(247\) | −0.160444 | − | 21.7939i | −0.0102088 | − | 1.38671i | ||||
\(248\) | 5.14796 | 0.326896 | ||||||||
\(249\) | 0.773318 | + | 4.38571i | 0.0490071 | + | 0.277933i | ||||
\(250\) | 0.766044 | − | 0.642788i | 0.0484489 | − | 0.0406535i | ||||
\(251\) | 22.6275 | − | 8.23573i | 1.42823 | − | 0.519835i | 0.491809 | − | 0.870703i | \(-0.336336\pi\) |
0.936425 | + | 0.350869i | \(0.114114\pi\) | |||||||
\(252\) | −2.99273 | − | 1.08926i | −0.188524 | − | 0.0686171i | ||||
\(253\) | 21.1637 | + | 17.7584i | 1.33055 | + | 1.11646i | ||||
\(254\) | −0.524815 | + | 0.909006i | −0.0329298 | + | 0.0570361i | ||||
\(255\) | 0.467911 | + | 0.810446i | 0.0293017 | + | 0.0507521i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 2.91353 | − | 16.5235i | 0.181741 | − | 1.03071i | −0.748330 | − | 0.663327i | \(-0.769144\pi\) |
0.930071 | − | 0.367379i | \(-0.119745\pi\) | |||||||
\(258\) | 2.18479 | + | 3.78417i | 0.136019 | + | 0.235592i | ||||
\(259\) | 3.16163 | − | 5.47610i | 0.196454 | − | 0.340268i | ||||
\(260\) | −3.83022 | − | 3.21394i | −0.237540 | − | 0.199320i | ||||
\(261\) | 4.75877 | + | 1.73205i | 0.294560 | + | 0.107211i | ||||
\(262\) | −0.240352 | + | 0.0874810i | −0.0148490 | + | 0.00540460i | ||||
\(263\) | 9.81773 | − | 8.23806i | 0.605387 | − | 0.507980i | −0.287785 | − | 0.957695i | \(-0.592919\pi\) |
0.893172 | + | 0.449715i | \(0.148474\pi\) | |||||||
\(264\) | 0.754900 | + | 4.28125i | 0.0464609 | + | 0.263493i | ||||
\(265\) | 4.70233 | 0.288862 | ||||||||
\(266\) | −4.84389 | − | 13.0097i | −0.296998 | − | 0.797675i | ||||
\(267\) | 12.0300 | 0.736226 | ||||||||
\(268\) | 2.71688 | + | 15.4082i | 0.165960 | + | 0.941206i | ||||
\(269\) | 12.8530 | − | 10.7849i | 0.783660 | − | 0.657569i | −0.160508 | − | 0.987035i | \(-0.551313\pi\) |
0.944167 | + | 0.329466i | \(0.106869\pi\) | |||||||
\(270\) | −0.939693 | + | 0.342020i | −0.0571879 | + | 0.0208147i | ||||
\(271\) | 3.07873 | + | 1.12056i | 0.187019 | + | 0.0680694i | 0.433832 | − | 0.900994i | \(-0.357161\pi\) |
−0.246813 | + | 0.969063i | \(0.579383\pi\) | |||||||
\(272\) | 0.716881 | + | 0.601535i | 0.0434673 | + | 0.0364734i | ||||
\(273\) | −7.96198 | + | 13.7906i | −0.481881 | + | 0.834642i | ||||
\(274\) | −5.96316 | − | 10.3285i | −0.360248 | − | 0.623968i | ||||
\(275\) | −0.754900 | + | 4.28125i | −0.0455222 | + | 0.258169i | ||||
\(276\) | −1.10354 | + | 6.25849i | −0.0664253 | + | 0.376717i | ||||
\(277\) | 4.62836 | + | 8.01655i | 0.278091 | + | 0.481668i | 0.970910 | − | 0.239444i | \(-0.0769650\pi\) |
−0.692819 | + | 0.721111i | \(0.743632\pi\) | |||||||
\(278\) | −8.09627 | + | 14.0231i | −0.485582 | + | 0.841052i | ||||
\(279\) | −3.94356 | − | 3.30904i | −0.236095 | − | 0.198107i | ||||
\(280\) | −2.99273 | − | 1.08926i | −0.178850 | − | 0.0650959i | ||||
\(281\) | −13.9363 | + | 5.07239i | −0.831369 | + | 0.302594i | −0.722421 | − | 0.691454i | \(-0.756971\pi\) |
−0.108949 | + | 0.994047i | \(0.534748\pi\) | |||||||
\(282\) | −7.05690 | + | 5.92145i | −0.420233 | + | 0.352617i | ||||
\(283\) | 2.87939 | + | 16.3298i | 0.171162 | + | 0.970706i | 0.942481 | + | 0.334258i | \(0.108486\pi\) |
−0.771320 | + | 0.636448i | \(0.780403\pi\) | |||||||
\(284\) | 11.2763 | 0.669126 | ||||||||
\(285\) | −3.79086 | − | 2.15160i | −0.224551 | − | 0.127450i | ||||
\(286\) | 21.7365 | 1.28531 | ||||||||
\(287\) | −5.83972 | − | 33.1187i | −0.344708 | − | 1.95493i | ||||
\(288\) | −0.766044 | + | 0.642788i | −0.0451396 | + | 0.0378766i | ||||
\(289\) | 15.1518 | − | 5.51481i | 0.891284 | − | 0.324401i | ||||
\(290\) | 4.75877 | + | 1.73205i | 0.279445 | + | 0.101710i | ||||
\(291\) | 9.07192 | + | 7.61224i | 0.531805 | + | 0.446238i | ||||
\(292\) | −8.29086 | + | 14.3602i | −0.485186 | + | 0.840367i | ||||
\(293\) | 0.555560 | + | 0.962258i | 0.0324561 | + | 0.0562157i | 0.881797 | − | 0.471629i | \(-0.156334\pi\) |
−0.849341 | + | 0.527844i | \(0.823000\pi\) | |||||||
\(294\) | −0.545759 | + | 3.09516i | −0.0318293 | + | 0.180513i | ||||
\(295\) | −2.31655 | + | 13.1378i | −0.134875 | + | 0.764913i | ||||
\(296\) | −0.992726 | − | 1.71945i | −0.0577010 | − | 0.0999411i | ||||
\(297\) | 2.17365 | − | 3.76487i | 0.126128 | − | 0.218460i | ||||
\(298\) | 1.90167 | + | 1.59569i | 0.110161 | + | 0.0924361i | ||||
\(299\) | 29.8589 | + | 10.8678i | 1.72679 | + | 0.628498i | ||||
\(300\) | −0.939693 | + | 0.342020i | −0.0542532 | + | 0.0197465i | ||||
\(301\) | 10.6604 | − | 8.94517i | 0.614458 | − | 0.515591i | ||||
\(302\) | 0.744223 | + | 4.22070i | 0.0428252 | + | 0.242874i | ||||
\(303\) | −6.32501 | −0.363362 | ||||||||
\(304\) | −4.29813 | − | 0.725293i | −0.246515 | − | 0.0415984i | ||||
\(305\) | 8.73917 | 0.500403 | ||||||||
\(306\) | −0.162504 | − | 0.921605i | −0.00928973 | − | 0.0526847i | ||||
\(307\) | 24.3705 | − | 20.4493i | 1.39090 | − | 1.16710i | 0.425925 | − | 0.904759i | \(-0.359949\pi\) |
0.964974 | − | 0.262344i | \(-0.0844956\pi\) | |||||||
\(308\) | 13.0103 | − | 4.73535i | 0.741329 | − | 0.269822i | ||||
\(309\) | −12.5103 | − | 4.55336i | −0.711684 | − | 0.259032i | ||||
\(310\) | −3.94356 | − | 3.30904i | −0.223979 | − | 0.187941i | ||||
\(311\) | −2.94356 | + | 5.09840i | −0.166914 | + | 0.289104i | −0.937333 | − | 0.348434i | \(-0.886714\pi\) |
0.770419 | + | 0.637538i | \(0.220047\pi\) | |||||||
\(312\) | 2.50000 | + | 4.33013i | 0.141535 | + | 0.245145i | ||||
\(313\) | 2.18210 | − | 12.3753i | 0.123340 | − | 0.699495i | −0.858940 | − | 0.512076i | \(-0.828877\pi\) |
0.982280 | − | 0.187419i | \(-0.0600122\pi\) | |||||||
\(314\) | −3.73396 | + | 21.1763i | −0.210719 | + | 1.19505i | ||||
\(315\) | 1.59240 | + | 2.75811i | 0.0897214 | + | 0.155402i | ||||
\(316\) | 4.36959 | − | 7.56834i | 0.245808 | − | 0.425753i | ||||
\(317\) | 14.2515 | + | 11.9584i | 0.800444 | + | 0.671652i | 0.948307 | − | 0.317356i | \(-0.102795\pi\) |
−0.147863 | + | 0.989008i | \(0.547239\pi\) | |||||||
\(318\) | −4.41875 | − | 1.60829i | −0.247791 | − | 0.0901886i | ||||
\(319\) | −20.6878 | + | 7.52974i | −1.15829 | + | 0.421584i | ||||
\(320\) | −0.766044 | + | 0.642788i | −0.0428232 | + | 0.0359329i | ||||
\(321\) | 2.08378 | + | 11.8177i | 0.116305 | + | 0.659599i | ||||
\(322\) | 20.2395 | 1.12790 | ||||||||
\(323\) | 2.59896 | − | 3.14403i | 0.144610 | − | 0.174939i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0.868241 | + | 4.92404i | 0.0481613 | + | 0.273137i | ||||
\(326\) | 5.75877 | − | 4.83218i | 0.318949 | − | 0.267630i | ||||
\(327\) | −8.59627 | + | 3.12879i | −0.475375 | + | 0.173022i | ||||
\(328\) | −9.92262 | − | 3.61154i | −0.547885 | − | 0.199414i | ||||
\(329\) | 22.4748 | + | 18.8586i | 1.23907 | + | 1.03971i | ||||
\(330\) | 2.17365 | − | 3.76487i | 0.119655 | − | 0.207249i | ||||
\(331\) | −0.0457595 | − | 0.0792577i | −0.00251517 | − | 0.00435640i | 0.864765 | − | 0.502177i | \(-0.167467\pi\) |
−0.867280 | + | 0.497820i | \(0.834134\pi\) | |||||||
\(332\) | 0.773318 | − | 4.38571i | 0.0424414 | − | 0.240697i | ||||
\(333\) | −0.344770 | + | 1.95529i | −0.0188933 | + | 0.107149i | ||||
\(334\) | 6.52094 | + | 11.2946i | 0.356810 | + | 0.618013i | ||||
\(335\) | 7.82295 | − | 13.5497i | 0.427413 | − | 0.740302i | ||||
\(336\) | 2.43969 | + | 2.04715i | 0.133096 | + | 0.111681i | ||||
\(337\) | −19.6604 | − | 7.15582i | −1.07097 | − | 0.389802i | −0.254432 | − | 0.967091i | \(-0.581889\pi\) |
−0.816540 | + | 0.577288i | \(0.804111\pi\) | |||||||
\(338\) | 11.2763 | − | 4.10424i | 0.613350 | − | 0.223241i | ||||
\(339\) | 7.04189 | − | 5.90885i | 0.382463 | − | 0.320924i | ||||
\(340\) | −0.162504 | − | 0.921605i | −0.00881301 | − | 0.0499810i | ||||
\(341\) | 22.3797 | 1.21193 | ||||||||
\(342\) | 2.82635 | + | 3.31839i | 0.152832 | + | 0.179438i | ||||
\(343\) | −12.2841 | −0.663276 | ||||||||
\(344\) | −0.758770 | − | 4.30320i | −0.0409102 | − | 0.232013i | ||||
\(345\) | 4.86824 | − | 4.08494i | 0.262097 | − | 0.219926i | ||||
\(346\) | −0.405078 | + | 0.147436i | −0.0217771 | + | 0.00792622i | ||||
\(347\) | 17.2199 | + | 6.26752i | 0.924411 | + | 0.336458i | 0.759992 | − | 0.649932i | \(-0.225203\pi\) |
0.164419 | + | 0.986391i | \(0.447425\pi\) | |||||||
\(348\) | −3.87939 | − | 3.25519i | −0.207957 | − | 0.174497i | ||||
\(349\) | −2.34730 | + | 4.06564i | −0.125648 | + | 0.217629i | −0.921986 | − | 0.387223i | \(-0.873434\pi\) |
0.796338 | + | 0.604852i | \(0.206768\pi\) | |||||||
\(350\) | 1.59240 | + | 2.75811i | 0.0851172 | + | 0.147427i | ||||
\(351\) | 0.868241 | − | 4.92404i | 0.0463433 | − | 0.262826i | ||||
\(352\) | 0.754900 | − | 4.28125i | 0.0402363 | − | 0.228191i | ||||
\(353\) | −7.14796 | − | 12.3806i | −0.380447 | − | 0.658954i | 0.610679 | − | 0.791878i | \(-0.290897\pi\) |
−0.991126 | + | 0.132924i | \(0.957563\pi\) | |||||||
\(354\) | 6.67024 | − | 11.5532i | 0.354520 | − | 0.614046i | ||||
\(355\) | −8.63816 | − | 7.24827i | −0.458466 | − | 0.384698i | ||||
\(356\) | −11.3045 | − | 4.11451i | −0.599139 | − | 0.218069i | ||||
\(357\) | −2.80066 | + | 1.01936i | −0.148227 | + | 0.0539501i | ||||
\(358\) | −11.9101 | + | 9.99379i | −0.629470 | + | 0.528188i | ||||
\(359\) | −3.09327 | − | 17.5428i | −0.163257 | − | 0.925875i | −0.950844 | − | 0.309671i | \(-0.899781\pi\) |
0.787587 | − | 0.616204i | \(-0.211330\pi\) | |||||||
\(360\) | 1.00000 | 0.0527046 | ||||||||
\(361\) | −3.02347 | + | 18.7579i | −0.159130 | + | 0.987258i | ||||
\(362\) | 1.51754 | 0.0797602 | ||||||||
\(363\) | 1.37164 | + | 7.77898i | 0.0719927 | + | 0.408291i | ||||
\(364\) | 12.1985 | − | 10.2357i | 0.639373 | − | 0.536498i | ||||
\(365\) | 15.5817 | − | 5.67128i | 0.815584 | − | 0.296848i | ||||
\(366\) | −8.21213 | − | 2.98897i | −0.429255 | − | 0.156236i | ||||
\(367\) | −26.9859 | − | 22.6439i | −1.40865 | − | 1.18200i | −0.957100 | − | 0.289756i | \(-0.906426\pi\) |
−0.451553 | − | 0.892244i | \(-0.649130\pi\) | |||||||
\(368\) | 3.17752 | − | 5.50362i | 0.165640 | − | 0.286896i | ||||
\(369\) | 5.27972 | + | 9.14473i | 0.274851 | + | 0.476056i | ||||
\(370\) | −0.344770 | + | 1.95529i | −0.0179237 | + | 0.101651i | ||||
\(371\) | −2.60055 | + | 14.7484i | −0.135014 | + | 0.765701i | ||||
\(372\) | 2.57398 | + | 4.45826i | 0.133455 | + | 0.231150i | ||||
\(373\) | 13.4008 | − | 23.2109i | 0.693867 | − | 1.20181i | −0.276694 | − | 0.960958i | \(-0.589239\pi\) |
0.970561 | − | 0.240855i | \(-0.0774278\pi\) | |||||||
\(374\) | 3.11650 | + | 2.61505i | 0.161150 | + | 0.135221i | ||||
\(375\) | 0.939693 | + | 0.342020i | 0.0485255 | + | 0.0176618i | ||||
\(376\) | 8.65657 | − | 3.15074i | 0.446429 | − | 0.162487i | ||||
\(377\) | −19.3969 | + | 16.2760i | −0.998993 | + | 0.838254i | ||||
\(378\) | −0.553033 | − | 3.13641i | −0.0284450 | − | 0.161319i | ||||
\(379\) | −32.7452 | −1.68201 | −0.841003 | − | 0.541031i | \(-0.818034\pi\) | ||||
−0.841003 | + | 0.541031i | \(0.818034\pi\) | |||||||
\(380\) | 2.82635 | + | 3.31839i | 0.144989 | + | 0.170230i | ||||
\(381\) | −1.04963 | −0.0537742 | ||||||||
\(382\) | −2.00774 | − | 11.3865i | −0.102725 | − | 0.582582i | ||||
\(383\) | 11.1853 | − | 9.38555i | 0.571540 | − | 0.479579i | −0.310617 | − | 0.950535i | \(-0.600535\pi\) |
0.882157 | + | 0.470956i | \(0.156091\pi\) | |||||||
\(384\) | 0.939693 | − | 0.342020i | 0.0479535 | − | 0.0174536i | ||||
\(385\) | −13.0103 | − | 4.73535i | −0.663065 | − | 0.241336i | ||||
\(386\) | 1.63041 | + | 1.36808i | 0.0829859 | + | 0.0696335i | ||||
\(387\) | −2.18479 | + | 3.78417i | −0.111059 | + | 0.192360i | ||||
\(388\) | −5.92127 | − | 10.2559i | −0.300607 | − | 0.520667i | ||||
\(389\) | −0.680045 | + | 3.85673i | −0.0344796 | + | 0.195544i | −0.997182 | − | 0.0750184i | \(-0.976098\pi\) |
0.962703 | + | 0.270562i | \(0.0872096\pi\) | |||||||
\(390\) | 0.868241 | − | 4.92404i | 0.0439651 | − | 0.249338i | ||||
\(391\) | 2.97359 | + | 5.15041i | 0.150381 | + | 0.260468i | ||||
\(392\) | 1.57145 | − | 2.72183i | 0.0793703 | − | 0.137473i | ||||
\(393\) | −0.195937 | − | 0.164411i | −0.00988371 | − | 0.00829342i | ||||
\(394\) | −15.7233 | − | 5.72281i | −0.792127 | − | 0.288311i | ||||
\(395\) | −8.21213 | + | 2.98897i | −0.413197 | + | 0.150392i | ||||
\(396\) | −3.33022 | + | 2.79439i | −0.167350 | + | 0.140423i | ||||
\(397\) | 0.0603074 | + | 0.342020i | 0.00302674 | + | 0.0171655i | 0.986284 | − | 0.165059i | \(-0.0527814\pi\) |
−0.983257 | + | 0.182224i | \(0.941670\pi\) | |||||||
\(398\) | −3.10876 | −0.155828 | ||||||||
\(399\) | 8.84477 | − | 10.6998i | 0.442792 | − | 0.535659i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 6.64321 | + | 37.6755i | 0.331746 | + | 1.88142i | 0.457260 | + | 0.889333i | \(0.348831\pi\) |
−0.125514 | + | 0.992092i | \(0.540058\pi\) | |||||||
\(402\) | −11.9855 | + | 10.0570i | −0.597780 | + | 0.501597i | ||||
\(403\) | 24.1875 | − | 8.80352i | 1.20486 | − | 0.438535i | ||||
\(404\) | 5.94356 | + | 2.16328i | 0.295703 | + | 0.107627i | ||||
\(405\) | −0.766044 | − | 0.642788i | −0.0380651 | − | 0.0319404i | ||||
\(406\) | −8.06418 | + | 13.9676i | −0.400218 | + | 0.693199i | ||||
\(407\) | −4.31567 | − | 7.47497i | −0.213920 | − | 0.370520i | ||||
\(408\) | −0.162504 | + | 0.921605i | −0.00804514 | + | 0.0456262i | ||||
\(409\) | −2.53580 | + | 14.3812i | −0.125387 | + | 0.711106i | 0.855690 | + | 0.517489i | \(0.173133\pi\) |
−0.981077 | + | 0.193617i | \(0.937978\pi\) | |||||||
\(410\) | 5.27972 | + | 9.14473i | 0.260747 | + | 0.451626i | ||||
\(411\) | 5.96316 | − | 10.3285i | 0.294141 | − | 0.509467i | ||||
\(412\) | 10.1985 | + | 8.55753i | 0.502442 | + | 0.421599i | ||||
\(413\) | −39.9244 | − | 14.5313i | −1.96455 | − | 0.715039i | ||||
\(414\) | −5.97178 | + | 2.17355i | −0.293497 | + | 0.106824i | ||||
\(415\) | −3.41147 | + | 2.86257i | −0.167463 | + | 0.140518i | ||||
\(416\) | −0.868241 | − | 4.92404i | −0.0425690 | − | 0.241421i | ||||
\(417\) | −16.1925 | −0.792952 | ||||||||
\(418\) | −18.6853 | − | 3.15306i | −0.913926 | − | 0.154221i | ||||
\(419\) | −9.26857 | −0.452799 | −0.226400 | − | 0.974034i | \(-0.572696\pi\) | ||||
−0.226400 | + | 0.974034i | \(0.572696\pi\) | |||||||
\(420\) | −0.553033 | − | 3.13641i | −0.0269853 | − | 0.153041i | ||||
\(421\) | 4.94356 | − | 4.14814i | 0.240935 | − | 0.202168i | −0.514322 | − | 0.857597i | \(-0.671957\pi\) |
0.755257 | + | 0.655429i | \(0.227512\pi\) | |||||||
\(422\) | −12.8712 | + | 4.68475i | −0.626562 | + | 0.228050i | ||||
\(423\) | −8.65657 | − | 3.15074i | −0.420897 | − | 0.153194i | ||||
\(424\) | 3.60220 | + | 3.02260i | 0.174938 | + | 0.146791i | ||||
\(425\) | −0.467911 | + | 0.810446i | −0.0226970 | + | 0.0393124i | ||||
\(426\) | 5.63816 | + | 9.76557i | 0.273170 | + | 0.473144i | ||||
\(427\) | −4.83305 | + | 27.4096i | −0.233888 | + | 1.32644i | ||||
\(428\) | 2.08378 | − | 11.8177i | 0.100723 | − | 0.571230i | ||||
\(429\) | 10.8682 | + | 18.8243i | 0.524724 | + | 0.908848i | ||||
\(430\) | −2.18479 | + | 3.78417i | −0.105360 | + | 0.182489i | ||||
\(431\) | −8.33275 | − | 6.99201i | −0.401374 | − | 0.336793i | 0.419650 | − | 0.907686i | \(-0.362153\pi\) |
−0.821025 | + | 0.570893i | \(0.806597\pi\) | |||||||
\(432\) | −0.939693 | − | 0.342020i | −0.0452110 | − | 0.0164555i | ||||
\(433\) | −0.0145479 | + | 0.00529501i | −0.000699128 | + | 0.000254462i | −0.342370 | − | 0.939565i | \(-0.611230\pi\) |
0.341671 | + | 0.939820i | \(0.389007\pi\) | |||||||
\(434\) | 12.5594 | − | 10.5386i | 0.602872 | − | 0.505870i | ||||
\(435\) | 0.879385 | + | 4.98724i | 0.0421633 | + | 0.239120i | ||||
\(436\) | 9.14796 | 0.438108 | ||||||||
\(437\) | −24.0911 | − | 13.6735i | −1.15243 | − | 0.654092i | ||||
\(438\) | −16.5817 | −0.792305 | ||||||||
\(439\) | −0.980400 | − | 5.56012i | −0.0467919 | − | 0.265370i | 0.952432 | − | 0.304750i | \(-0.0985729\pi\) |
−0.999224 | + | 0.0393798i | \(0.987462\pi\) | |||||||
\(440\) | −3.33022 | + | 2.79439i | −0.158762 | + | 0.133217i | ||||
\(441\) | −2.95336 | + | 1.07494i | −0.140636 | + | 0.0511874i | ||||
\(442\) | 4.39693 | + | 1.60035i | 0.209140 | + | 0.0761209i | ||||
\(443\) | 14.8307 | + | 12.4444i | 0.704627 | + | 0.591253i | 0.923086 | − | 0.384594i | \(-0.125658\pi\) |
−0.218459 | + | 0.975846i | \(0.570103\pi\) | |||||||
\(444\) | 0.992726 | − | 1.71945i | 0.0471127 | − | 0.0816016i | ||||
\(445\) | 6.01501 | + | 10.4183i | 0.285139 | + | 0.493875i | ||||
\(446\) | 1.26739 | − | 7.18772i | 0.0600126 | − | 0.340348i | ||||
\(447\) | −0.431074 | + | 2.44474i | −0.0203891 | + | 0.115632i | ||||
\(448\) | −1.59240 | − | 2.75811i | −0.0752337 | − | 0.130309i | ||||
\(449\) | −0.215537 | + | 0.373321i | −0.0101718 | + | 0.0176181i | −0.871067 | − | 0.491165i | \(-0.836571\pi\) |
0.860895 | + | 0.508783i | \(0.169905\pi\) | |||||||
\(450\) | −0.766044 | − | 0.642788i | −0.0361117 | − | 0.0303013i | ||||
\(451\) | −43.1366 | − | 15.7004i | −2.03122 | − | 0.739304i | ||||
\(452\) | −8.63816 | + | 3.14403i | −0.406305 | + | 0.147883i | ||||
\(453\) | −3.28312 | + | 2.75486i | −0.154254 | + | 0.129435i | ||||
\(454\) | −1.29767 | − | 7.35943i | −0.0609025 | − | 0.345395i | ||||
\(455\) | −15.9240 | −0.746527 | ||||||||
\(456\) | −1.52094 | − | 4.08494i | −0.0712248 | − | 0.191295i | ||||
\(457\) | 20.8229 | 0.974056 | 0.487028 | − | 0.873386i | \(-0.338081\pi\) | ||||
0.487028 | + | 0.873386i | \(0.338081\pi\) | |||||||
\(458\) | 1.24897 | + | 7.08326i | 0.0583605 | + | 0.330979i | ||||
\(459\) | 0.716881 | − | 0.601535i | 0.0334612 | − | 0.0280772i | ||||
\(460\) | −5.97178 | + | 2.17355i | −0.278436 | + | 0.101342i | ||||
\(461\) | 26.8999 | + | 9.79077i | 1.25285 | + | 0.456002i | 0.881365 | − | 0.472436i | \(-0.156625\pi\) |
0.371489 | + | 0.928437i | \(0.378847\pi\) | |||||||
\(462\) | 10.6061 | + | 8.89955i | 0.493439 | + | 0.414044i | ||||
\(463\) | −3.38578 | + | 5.86435i | −0.157351 | + | 0.272539i | −0.933912 | − | 0.357502i | \(-0.883629\pi\) |
0.776562 | + | 0.630041i | \(0.216962\pi\) | |||||||
\(464\) | 2.53209 | + | 4.38571i | 0.117549 | + | 0.203601i | ||||
\(465\) | 0.893933 | − | 5.06975i | 0.0414552 | − | 0.235104i | ||||
\(466\) | −2.69459 | + | 15.2818i | −0.124825 | + | 0.707915i | ||||
\(467\) | −4.02229 | − | 6.96681i | −0.186129 | − | 0.322385i | 0.757827 | − | 0.652455i | \(-0.226261\pi\) |
−0.943956 | + | 0.330070i | \(0.892928\pi\) | |||||||
\(468\) | −2.50000 | + | 4.33013i | −0.115563 | + | 0.200160i | ||||
\(469\) | 38.1712 | + | 32.0294i | 1.76258 | + | 1.47898i | ||||
\(470\) | −8.65657 | − | 3.15074i | −0.399298 | − | 0.145333i | ||||
\(471\) | −20.2062 | + | 7.35446i | −0.931053 | + | 0.338875i | ||||
\(472\) | −10.2194 | + | 8.57510i | −0.470386 | + | 0.394701i | ||||
\(473\) | −3.29860 | − | 18.7073i | −0.151670 | − | 0.860162i | ||||
\(474\) | 8.73917 | 0.401403 | ||||||||
\(475\) | −0.0320889 | − | 4.35878i | −0.00147234 | − | 0.199995i | ||||
\(476\) | 2.98040 | 0.136606 | ||||||||
\(477\) | −0.816552 | − | 4.63089i | −0.0373873 | − | 0.212034i | ||||
\(478\) | −11.5817 | + | 9.71822i | −0.529735 | + | 0.444501i | ||||
\(479\) | 13.3969 | − | 4.87608i | 0.612121 | − | 0.222794i | −0.0173099 | − | 0.999850i | \(-0.505510\pi\) |
0.629431 | + | 0.777056i | \(0.283288\pi\) | |||||||
\(480\) | −0.939693 | − | 0.342020i | −0.0428909 | − | 0.0156110i | ||||
\(481\) | −7.60472 | − | 6.38112i | −0.346746 | − | 0.290954i | ||||
\(482\) | −2.86959 | + | 4.97027i | −0.130706 | + | 0.226389i | ||||
\(483\) | 10.1197 | + | 17.5279i | 0.460464 | + | 0.797547i | ||||
\(484\) | 1.37164 | − | 7.77898i | 0.0623475 | − | 0.353590i | ||||
\(485\) | −2.05644 | + | 11.6626i | −0.0933780 | + | 0.529573i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −9.35117 | + | 16.1967i | −0.423742 | + | 0.733942i | −0.996302 | − | 0.0859203i | \(-0.972617\pi\) |
0.572560 | + | 0.819863i | \(0.305950\pi\) | |||||||
\(488\) | 6.69459 | + | 5.61743i | 0.303050 | + | 0.254289i | ||||
\(489\) | 7.06418 | + | 2.57115i | 0.319453 | + | 0.116271i | ||||
\(490\) | −2.95336 | + | 1.07494i | −0.133419 | + | 0.0485607i | ||||
\(491\) | −9.93242 | + | 8.33429i | −0.448244 | + | 0.376121i | −0.838784 | − | 0.544465i | \(-0.816733\pi\) |
0.390540 | + | 0.920586i | \(0.372288\pi\) | |||||||
\(492\) | −1.83363 | − | 10.3990i | −0.0826662 | − | 0.468824i | ||||
\(493\) | −4.73917 | −0.213441 | ||||||||
\(494\) | −21.4349 | + | 3.94248i | −0.964404 | + | 0.177381i | ||||
\(495\) | 4.34730 | 0.195396 | ||||||||
\(496\) | −0.893933 | − | 5.06975i | −0.0401388 | − | 0.227638i | ||||
\(497\) | 27.5107 | − | 23.0842i | 1.23403 | − | 1.03547i | ||||
\(498\) | 4.18479 | − | 1.52314i | 0.187525 | − | 0.0682535i | ||||
\(499\) | −36.3282 | − | 13.2224i | −1.62627 | − | 0.591915i | −0.641709 | − | 0.766948i | \(-0.721774\pi\) |
−0.984563 | + | 0.175033i | \(0.943997\pi\) | |||||||
\(500\) | −0.766044 | − | 0.642788i | −0.0342585 | − | 0.0287463i | ||||
\(501\) | −6.52094 | + | 11.2946i | −0.291334 | + | 0.504606i | ||||
\(502\) | −12.0398 | − | 20.8536i | −0.537364 | − | 0.930742i | ||||
\(503\) | −5.49407 | + | 31.1584i | −0.244968 | + | 1.38929i | 0.575597 | + | 0.817733i | \(0.304770\pi\) |
−0.820566 | + | 0.571552i | \(0.806342\pi\) | |||||||
\(504\) | −0.553033 | + | 3.13641i | −0.0246341 | + | 0.139707i | ||||
\(505\) | −3.16250 | − | 5.47762i | −0.140730 | − | 0.243751i | ||||
\(506\) | 13.8136 | − | 23.9259i | 0.614090 | − | 1.06364i | ||||
\(507\) | 9.19253 | + | 7.71345i | 0.408255 | + | 0.342566i | ||||
\(508\) | 0.986329 | + | 0.358995i | 0.0437613 | + | 0.0159278i | ||||
\(509\) | −22.3533 | + | 8.13593i | −0.990792 | + | 0.360619i | −0.786027 | − | 0.618192i | \(-0.787865\pi\) |
−0.204765 | + | 0.978811i | \(0.565643\pi\) | |||||||
\(510\) | 0.716881 | − | 0.601535i | 0.0317440 | − | 0.0266364i | ||||
\(511\) | 9.17024 | + | 52.0070i | 0.405668 | + | 2.30066i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −1.46064 | + | 4.10689i | −0.0644887 | + | 0.181324i | ||||
\(514\) | −16.7784 | −0.740062 | ||||||||
\(515\) | −2.31180 | − | 13.1109i | −0.101870 | − | 0.577735i | ||||
\(516\) | 3.34730 | − | 2.80872i | 0.147357 | − | 0.123647i | ||||
\(517\) | 37.6327 | − | 13.6972i | 1.65508 | − | 0.602401i | ||||
\(518\) | −5.94191 | − | 2.16268i | −0.261073 | − | 0.0950227i | ||||
\(519\) | −0.330222 | − | 0.277089i | −0.0144951 | − | 0.0121629i | ||||
\(520\) | −2.50000 | + | 4.33013i | −0.109632 | + | 0.189889i | ||||
\(521\) | −0.418281 | − | 0.724484i | −0.0183252 | − | 0.0317402i | 0.856717 | − | 0.515786i | \(-0.172500\pi\) |
−0.875043 | + | 0.484046i | \(0.839167\pi\) | |||||||
\(522\) | 0.879385 | − | 4.98724i | 0.0384896 | − | 0.218286i | ||||
\(523\) | −2.07192 | + | 11.7504i | −0.0905987 | + | 0.513811i | 0.905409 | + | 0.424541i | \(0.139564\pi\) |
−0.996007 | + | 0.0892698i | \(0.971547\pi\) | |||||||
\(524\) | 0.127889 | + | 0.221510i | 0.00558684 | + | 0.00967670i | ||||
\(525\) | −1.59240 | + | 2.75811i | −0.0694979 | + | 0.120374i | ||||
\(526\) | −9.81773 | − | 8.23806i | −0.428074 | − | 0.359196i | ||||
\(527\) | 4.52704 | + | 1.64771i | 0.197201 | + | 0.0717752i | ||||
\(528\) | 4.08512 | − | 1.48686i | 0.177782 | − | 0.0647074i | ||||
\(529\) | 13.3188 | − | 11.1758i | 0.579080 | − | 0.485905i | ||||
\(530\) | −0.816552 | − | 4.63089i | −0.0354687 | − | 0.201153i | ||||
\(531\) | 13.3405 | 0.578928 | ||||||||
\(532\) | −11.9709 | + | 7.02941i | −0.519005 | + | 0.304764i | ||||
\(533\) | −52.7972 | −2.28690 | ||||||||
\(534\) | −2.08899 | − | 11.8473i | −0.0903996 | − | 0.512681i | ||||
\(535\) | −9.19253 | + | 7.71345i | −0.397428 | + | 0.333482i | ||||
\(536\) | 14.7023 | − | 5.35121i | 0.635044 | − | 0.231137i | ||||
\(537\) | −14.6099 | − | 5.31758i | −0.630465 | − | 0.229471i | ||||
\(538\) | −12.8530 | − | 10.7849i | −0.554131 | − | 0.464971i | ||||
\(539\) | 6.83157 | − | 11.8326i | 0.294256 | − | 0.509667i | ||||
\(540\) | 0.500000 | + | 0.866025i | 0.0215166 | + | 0.0372678i | ||||
\(541\) | −0.475652 | + | 2.69756i | −0.0204499 | + | 0.115977i | −0.993324 | − | 0.115358i | \(-0.963198\pi\) |
0.972874 | + | 0.231335i | \(0.0743095\pi\) | |||||||
\(542\) | 0.568926 | − | 3.22654i | 0.0244374 | − | 0.138592i | ||||
\(543\) | 0.758770 | + | 1.31423i | 0.0325620 | + | 0.0563990i | ||||
\(544\) | 0.467911 | − | 0.810446i | 0.0200615 | − | 0.0347476i | ||||
\(545\) | −7.00774 | − | 5.88019i | −0.300179 | − | 0.251880i | ||||
\(546\) | 14.9636 | + | 5.44632i | 0.640384 | + | 0.233081i | ||||
\(547\) | 20.0300 | − | 7.29033i | 0.856422 | − | 0.311712i | 0.123766 | − | 0.992311i | \(-0.460503\pi\) |
0.732656 | + | 0.680599i | \(0.238280\pi\) | |||||||
\(548\) | −9.13610 | + | 7.66610i | −0.390275 | + | 0.327479i | ||||
\(549\) | −1.51754 | − | 8.60640i | −0.0647671 | − | 0.367312i | ||||
\(550\) | 4.34730 | 0.185369 | ||||||||
\(551\) | 19.0351 | − | 11.1776i | 0.810922 | − | 0.476180i | ||||
\(552\) | 6.35504 | 0.270488 | ||||||||
\(553\) | −4.83305 | − | 27.4096i | −0.205522 | − | 1.16558i | ||||
\(554\) | 7.09105 | − | 5.95010i | 0.301270 | − | 0.252795i | ||||
\(555\) | −1.86571 | + | 0.679065i | −0.0791952 | + | 0.0288247i | ||||
\(556\) | 15.2160 | + | 5.53817i | 0.645302 | + | 0.234871i | ||||
\(557\) | 25.1798 | + | 21.1284i | 1.06690 | + | 0.895237i | 0.994768 | − | 0.102158i | \(-0.0325746\pi\) |
0.0721340 | + | 0.997395i | \(0.477019\pi\) | |||||||
\(558\) | −2.57398 | + | 4.45826i | −0.108965 | + | 0.188733i | ||||
\(559\) | −10.9240 | − | 18.9209i | −0.462034 | − | 0.800267i | ||||
\(560\) | −0.553033 | + | 3.13641i | −0.0233699 | + | 0.132537i | ||||
\(561\) | −0.706452 | + | 4.00649i | −0.0298264 | + | 0.169154i | ||||
\(562\) | 7.41534 | + | 12.8438i | 0.312797 | + | 0.541781i | ||||
\(563\) | −11.9932 | + | 20.7728i | −0.505453 | + | 0.875470i | 0.494527 | + | 0.869162i | \(0.335341\pi\) |
−0.999980 | + | 0.00630786i | \(0.997992\pi\) | |||||||
\(564\) | 7.05690 | + | 5.92145i | 0.297149 | + | 0.249338i | ||||
\(565\) | 8.63816 | + | 3.14403i | 0.363410 | + | 0.132270i | ||||
\(566\) | 15.5817 | − | 5.67128i | 0.654948 | − | 0.238382i | ||||
\(567\) | 2.43969 | − | 2.04715i | 0.102457 | − | 0.0859720i | ||||
\(568\) | −1.95811 | − | 11.1050i | −0.0821605 | − | 0.465955i | ||||
\(569\) | −19.4962 | −0.817323 | −0.408661 | − | 0.912686i | \(-0.634004\pi\) | ||||
−0.408661 | + | 0.912686i | \(0.634004\pi\) | |||||||
\(570\) | −1.46064 | + | 4.10689i | −0.0611794 | + | 0.172019i | ||||
\(571\) | 41.6709 | 1.74387 | 0.871936 | − | 0.489620i | \(-0.162865\pi\) | ||||
0.871936 | + | 0.489620i | \(0.162865\pi\) | |||||||
\(572\) | −3.77450 | − | 21.4063i | −0.157820 | − | 0.895041i | ||||
\(573\) | 8.85710 | − | 7.43199i | 0.370011 | − | 0.310476i | ||||
\(574\) | −31.6015 | + | 11.5020i | −1.31902 | + | 0.480084i | ||||
\(575\) | 5.97178 | + | 2.17355i | 0.249041 | + | 0.0906433i | ||||
\(576\) | 0.766044 | + | 0.642788i | 0.0319185 | + | 0.0267828i | ||||
\(577\) | −1.00000 | + | 1.73205i | −0.0416305 | + | 0.0721062i | −0.886090 | − | 0.463513i | \(-0.846589\pi\) |
0.844459 | + | 0.535620i | \(0.179922\pi\) | |||||||
\(578\) | −8.06212 | − | 13.9640i | −0.335340 | − | 0.580826i | ||||
\(579\) | −0.369585 | + | 2.09602i | −0.0153594 | + | 0.0871077i | ||||
\(580\) | 0.879385 | − | 4.98724i | 0.0365145 | − | 0.207084i | ||||
\(581\) | −7.09152 | − | 12.2829i | −0.294206 | − | 0.509579i | ||||
\(582\) | 5.92127 | − | 10.2559i | 0.245445 | − | 0.425123i | ||||
\(583\) | 15.6598 | + | 13.1401i | 0.648563 | + | 0.544209i | ||||
\(584\) | 15.5817 | + | 5.67128i | 0.644776 | + | 0.234679i | ||||
\(585\) | 4.69846 | − | 1.71010i | 0.194258 | − | 0.0707040i | ||||
\(586\) | 0.851167 | − | 0.714214i | 0.0351614 | − | 0.0295039i | ||||
\(587\) | 5.36278 | + | 30.4138i | 0.221346 | + | 1.25531i | 0.869549 | + | 0.493846i | \(0.164409\pi\) |
−0.648204 | + | 0.761467i | \(0.724480\pi\) | |||||||
\(588\) | 3.14290 | 0.129611 | ||||||||
\(589\) | −22.0692 | + | 4.05914i | −0.909347 | + | 0.167254i | ||||
\(590\) | 13.3405 | 0.549219 | ||||||||
\(591\) | −2.90554 | − | 16.4782i | −0.119518 | − | 0.677821i | ||||
\(592\) | −1.52094 | + | 1.27622i | −0.0625104 | + | 0.0524525i | ||||
\(593\) | −3.57398 | + | 1.30082i | −0.146766 | + | 0.0534183i | −0.414358 | − | 0.910114i | \(-0.635994\pi\) |
0.267593 | + | 0.963532i | \(0.413772\pi\) | |||||||
\(594\) | −4.08512 | − | 1.48686i | −0.167615 | − | 0.0610067i | ||||
\(595\) | −2.28312 | − | 1.91576i | −0.0935987 | − | 0.0785387i | ||||
\(596\) | 1.24123 | − | 2.14987i | 0.0508427 | − | 0.0880622i | ||||
\(597\) | −1.55438 | − | 2.69226i | −0.0636164 | − | 0.110187i | ||||
\(598\) | 5.51770 | − | 31.2924i | 0.225636 | − | 1.27964i | ||||
\(599\) | 2.30272 | − | 13.0594i | 0.0940865 | − | 0.533591i | −0.900937 | − | 0.433950i | \(-0.857119\pi\) |
0.995023 | − | 0.0996412i | \(-0.0317695\pi\) | |||||||
\(600\) | 0.500000 | + | 0.866025i | 0.0204124 | + | 0.0353553i | ||||
\(601\) | 3.84864 | − | 6.66604i | 0.156989 | − | 0.271913i | −0.776792 | − | 0.629757i | \(-0.783155\pi\) |
0.933782 | + | 0.357843i | \(0.116488\pi\) | |||||||
\(602\) | −10.6604 | − | 8.94517i | −0.434487 | − | 0.364578i | ||||
\(603\) | −14.7023 | − | 5.35121i | −0.598725 | − | 0.217918i | ||||
\(604\) | 4.02734 | − | 1.46583i | 0.163870 | − | 0.0596439i | ||||
\(605\) | −6.05097 | + | 5.07737i | −0.246007 | + | 0.206424i | ||||
\(606\) | 1.09833 | + | 6.22892i | 0.0446164 | + | 0.253032i | ||||
\(607\) | −5.72193 | −0.232246 | −0.116123 | − | 0.993235i | \(-0.537047\pi\) | ||||
−0.116123 | + | 0.993235i | \(0.537047\pi\) | |||||||
\(608\) | 0.0320889 | + | 4.35878i | 0.00130138 | + | 0.176772i | ||||
\(609\) | −16.1284 | −0.653554 | ||||||||
\(610\) | −1.51754 | − | 8.60640i | −0.0614434 | − | 0.348463i | ||||
\(611\) | 35.2845 | − | 29.6072i | 1.42746 | − | 1.19778i | ||||
\(612\) | −0.879385 | + | 0.320070i | −0.0355470 | + | 0.0129381i | ||||
\(613\) | −30.6377 | − | 11.1512i | −1.23745 | − | 0.450394i | −0.361305 | − | 0.932448i | \(-0.617669\pi\) |
−0.876142 | + | 0.482054i | \(0.839891\pi\) | |||||||
\(614\) | −24.3705 | − | 20.4493i | −0.983514 | − | 0.825266i | ||||
\(615\) | −5.27972 | + | 9.14473i | −0.212899 | + | 0.368751i | ||||
\(616\) | −6.92262 | − | 11.9903i | −0.278920 | − | 0.483104i | ||||
\(617\) | −3.09926 | + | 17.5768i | −0.124771 | + | 0.707614i | 0.856672 | + | 0.515862i | \(0.172528\pi\) |
−0.981443 | + | 0.191753i | \(0.938583\pi\) | |||||||
\(618\) | −2.31180 | + | 13.1109i | −0.0929944 | + | 0.527397i | ||||
\(619\) | 22.2211 | + | 38.4880i | 0.893140 | + | 1.54696i | 0.836090 | + | 0.548592i | \(0.184836\pi\) |
0.0570494 | + | 0.998371i | \(0.481831\pi\) | |||||||
\(620\) | −2.57398 | + | 4.45826i | −0.103373 | + | 0.179048i | ||||
\(621\) | −4.86824 | − | 4.08494i | −0.195356 | − | 0.163923i | ||||
\(622\) | 5.53209 | + | 2.01352i | 0.221817 | + | 0.0807346i | ||||
\(623\) | −36.0026 | + | 13.1039i | −1.44241 | + | 0.524995i | ||||
\(624\) | 3.83022 | − | 3.21394i | 0.153332 | − | 0.128660i | ||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | −12.5662 | −0.502248 | ||||||||
\(627\) | −6.61200 | − | 17.7584i | −0.264058 | − | 0.709204i | ||||
\(628\) | 21.5030 | 0.858063 | ||||||||
\(629\) | −0.322644 | − | 1.82980i | −0.0128646 | − | 0.0729590i | ||||
\(630\) | 2.43969 | − | 2.04715i | 0.0971997 | − | 0.0815602i | ||||
\(631\) | −7.71688 | + | 2.80872i | −0.307204 | + | 0.111813i | −0.491022 | − | 0.871147i | \(-0.663377\pi\) |
0.183818 | + | 0.982960i | \(0.441154\pi\) | |||||||
\(632\) | −8.21213 | − | 2.98897i | −0.326661 | − | 0.118895i | ||||
\(633\) | −10.4927 | − | 8.80444i | −0.417048 | − | 0.349945i | ||||
\(634\) | 9.30200 | − | 16.1115i | 0.369430 | − | 0.639871i | ||||
\(635\) | −0.524815 | − | 0.909006i | −0.0208266 | − | 0.0360728i | ||||
\(636\) | −0.816552 | + | 4.63089i | −0.0323784 | + | 0.183627i | ||||
\(637\) | 2.72880 | − | 15.4758i | 0.108119 | − | 0.613173i | ||||
\(638\) | 11.0077 | + | 19.0660i | 0.435801 | + | 0.754829i | ||||
\(639\) | −5.63816 | + | 9.76557i | −0.223042 | + | 0.386320i | ||||
\(640\) | 0.766044 | + | 0.642788i | 0.0302806 | + | 0.0254084i | ||||
\(641\) | −18.6548 | − | 6.78980i | −0.736821 | − | 0.268181i | −0.0537718 | − | 0.998553i | \(-0.517124\pi\) |
−0.683049 | + | 0.730372i | \(0.739347\pi\) | |||||||
\(642\) | 11.2763 | − | 4.10424i | 0.445041 | − | 0.161982i | ||||
\(643\) | −16.8425 | + | 14.1326i | −0.664205 | + | 0.557334i | −0.911344 | − | 0.411646i | \(-0.864954\pi\) |
0.247139 | + | 0.968980i | \(0.420510\pi\) | |||||||
\(644\) | −3.51455 | − | 19.9320i | −0.138493 | − | 0.785431i | ||||
\(645\) | −4.36959 | −0.172052 | ||||||||
\(646\) | −3.54757 | − | 2.01352i | −0.139577 | − | 0.0792207i | ||||
\(647\) | −6.35504 | −0.249842 | −0.124921 | − | 0.992167i | \(-0.539868\pi\) | ||||
−0.124921 | + | 0.992167i | \(0.539868\pi\) | |||||||
\(648\) | −0.173648 | − | 0.984808i | −0.00682154 | − | 0.0386869i | ||||
\(649\) | −44.4268 | + | 37.2785i | −1.74390 | + | 1.46331i | ||||
\(650\) | 4.69846 | − | 1.71010i | 0.184289 | − | 0.0670757i | ||||
\(651\) | 15.4064 | + | 5.60748i | 0.603825 | + | 0.219774i | ||||
\(652\) | −5.75877 | − | 4.83218i | −0.225531 | − | 0.189243i | ||||
\(653\) | −3.28699 | + | 5.69323i | −0.128630 | + | 0.222793i | −0.923146 | − | 0.384450i | \(-0.874391\pi\) |
0.794516 | + | 0.607243i | \(0.207725\pi\) | |||||||
\(654\) | 4.57398 | + | 7.92236i | 0.178857 | + | 0.309789i | ||||
\(655\) | 0.0444153 | − | 0.251892i | 0.00173545 | − | 0.00984222i | ||||
\(656\) | −1.83363 | + | 10.3990i | −0.0715911 | + | 0.406013i | ||||
\(657\) | −8.29086 | − | 14.3602i | −0.323457 | − | 0.560244i | ||||
\(658\) | 14.6694 | − | 25.4081i | 0.571871 | − | 0.990510i | ||||
\(659\) | 7.18320 | + | 6.02742i | 0.279818 | + | 0.234795i | 0.771885 | − | 0.635762i | \(-0.219314\pi\) |
−0.492067 | + | 0.870557i | \(0.663759\pi\) | |||||||
\(660\) | −4.08512 | − | 1.48686i | −0.159013 | − | 0.0578761i | ||||
\(661\) | 46.9172 | − | 17.0764i | 1.82487 | − | 0.664197i | 0.830650 | − | 0.556795i | \(-0.187969\pi\) |
0.994216 | − | 0.107402i | \(-0.0342533\pi\) | |||||||
\(662\) | −0.0701076 | + | 0.0588272i | −0.00272481 | + | 0.00228639i | ||||
\(663\) | 0.812519 | + | 4.60802i | 0.0315556 | + | 0.178961i | ||||
\(664\) | −4.45336 | −0.172824 | ||||||||
\(665\) | 13.6887 | + | 2.30991i | 0.530824 | + | 0.0895744i | ||||
\(666\) | 1.98545 | 0.0769347 | ||||||||
\(667\) | 5.58853 | + | 31.6941i | 0.216389 | + | 1.22720i | ||||
\(668\) | 9.99067 | − | 8.38316i | 0.386550 | − | 0.324354i | ||||
\(669\) | 6.85844 | − | 2.49627i | 0.265163 | − | 0.0965113i | ||||
\(670\) | −14.7023 | − | 5.35121i | −0.568001 | − | 0.206735i | ||||
\(671\) | 29.1034 | + | 24.4206i | 1.12352 | + | 0.942748i | ||||
\(672\) | 1.59240 | − | 2.75811i | 0.0614280 | − | 0.106396i | ||||
\(673\) | −10.7665 | − | 18.6481i | −0.415019 | − | 0.718833i | 0.580412 | − | 0.814323i | \(-0.302892\pi\) |
−0.995430 | + | 0.0954899i | \(0.969558\pi\) | |||||||
\(674\) | −3.63310 | + | 20.6044i | −0.139942 | + | 0.793650i | ||||
\(675\) | 0.173648 | − | 0.984808i | 0.00668372 | − | 0.0379053i | ||||
\(676\) | −6.00000 | − | 10.3923i | −0.230769 | − | 0.399704i | ||||
\(677\) | −21.4197 | + | 37.1000i | −0.823225 | + | 1.42587i | 0.0800429 | + | 0.996791i | \(0.474494\pi\) |
−0.903268 | + | 0.429077i | \(0.858839\pi\) | |||||||
\(678\) | −7.04189 | − | 5.90885i | −0.270442 | − | 0.226928i | ||||
\(679\) | −35.4415 | − | 12.8997i | −1.36012 | − | 0.495043i | ||||
\(680\) | −0.879385 | + | 0.320070i | −0.0337229 | + | 0.0122741i | ||||
\(681\) | 5.72462 | − | 4.80353i | 0.219368 | − | 0.184072i | ||||
\(682\) | −3.88619 | − | 22.0397i | −0.148810 | − | 0.843943i | ||||
\(683\) | −16.5134 | −0.631869 | −0.315934 | − | 0.948781i | \(-0.602318\pi\) | ||||
−0.315934 | + | 0.948781i | \(0.602318\pi\) | |||||||
\(684\) | 2.77719 | − | 3.35965i | 0.106188 | − | 0.128459i | ||||
\(685\) | 11.9263 | 0.455682 | ||||||||
\(686\) | 2.13310 | + | 12.0974i | 0.0814423 | + | 0.461882i | ||||
\(687\) | −5.50980 | + | 4.62327i | −0.210212 | + | 0.176389i | ||||
\(688\) | −4.10607 | + | 1.49449i | −0.156542 | + | 0.0569767i | ||||
\(689\) | 22.0937 | + | 8.04146i | 0.841704 | + | 0.306355i | ||||
\(690\) | −4.86824 | − | 4.08494i | −0.185331 | − | 0.155511i | ||||
\(691\) | −17.4315 | + | 30.1923i | −0.663127 | + | 1.14857i | 0.316662 | + | 0.948538i | \(0.397438\pi\) |
−0.979789 | + | 0.200031i | \(0.935896\pi\) | |||||||
\(692\) | 0.215537 | + | 0.373321i | 0.00819350 | + | 0.0141916i | ||||
\(693\) | −2.40420 | + | 13.6349i | −0.0913280 | + | 0.517947i | ||||
\(694\) | 3.18210 | − | 18.0466i | 0.120791 | − | 0.685040i | ||||
\(695\) | −8.09627 | − | 14.0231i | −0.307109 | − | 0.531928i | ||||
\(696\) | −2.53209 | + | 4.38571i | −0.0959786 | + | 0.166240i | ||||
\(697\) | −7.56986 | − | 6.35187i | −0.286729 | − | 0.240594i | ||||
\(698\) | 4.41147 | + | 1.60565i | 0.166977 | + | 0.0607746i | ||||
\(699\) | −14.5817 | + | 5.30731i | −0.551531 | + | 0.200741i | ||||
\(700\) | 2.43969 | − | 2.04715i | 0.0922117 | − | 0.0773748i | ||||
\(701\) | 4.69635 | + | 26.6343i | 0.177379 | + | 1.00596i | 0.935362 | + | 0.353691i | \(0.115073\pi\) |
−0.757984 | + | 0.652273i | \(0.773815\pi\) | |||||||
\(702\) | −5.00000 | −0.188713 | ||||||||
\(703\) | 5.61159 | + | 6.58851i | 0.211645 | + | 0.248490i | ||||
\(704\) | −4.34730 | −0.163845 | ||||||||
\(705\) | −1.59967 | − | 9.07218i | −0.0602471 | − | 0.341678i | ||||
\(706\) | −10.9513 | + | 9.18923i | −0.412158 | + | 0.345841i | ||||
\(707\) | 18.9290 | − | 6.88960i | 0.711899 | − | 0.259110i | ||||
\(708\) | −12.5360 | − | 4.56272i | −0.471130 | − | 0.171477i | ||||
\(709\) | 30.4165 | + | 25.5225i | 1.14232 | + | 0.958517i | 0.999512 | − | 0.0312334i | \(-0.00994353\pi\) |
0.142805 | + | 0.989751i | \(0.454388\pi\) | |||||||
\(710\) | −5.63816 | + | 9.76557i | −0.211596 | + | 0.366495i | ||||
\(711\) | 4.36959 | + | 7.56834i | 0.163872 | + | 0.283835i | ||||
\(712\) | −2.08899 | + | 11.8473i | −0.0782883 | + | 0.443995i | ||||
\(713\) | 5.68098 | − | 32.2184i | 0.212754 | − | 1.20659i | ||||
\(714\) | 1.49020 | + | 2.58110i | 0.0557693 | + | 0.0965953i | ||||
\(715\) | −10.8682 | + | 18.8243i | −0.406449 | + | 0.703991i | ||||
\(716\) | 11.9101 | + | 9.99379i | 0.445102 | + | 0.373485i | ||||
\(717\) | −14.2071 | − | 5.17095i | −0.530573 | − | 0.193113i | ||||
\(718\) | −16.7392 | + | 6.09256i | −0.624700 | + | 0.227372i | ||||
\(719\) | 31.2540 | − | 26.2252i | 1.16558 | − | 0.978036i | 0.165612 | − | 0.986191i | \(-0.447040\pi\) |
0.999967 | + | 0.00815467i | \(0.00259574\pi\) | |||||||
\(720\) | −0.173648 | − | 0.984808i | −0.00647149 | − | 0.0367016i | ||||
\(721\) | 42.3996 | 1.57904 | ||||||||
\(722\) | 18.9979 | − | 0.279737i | 0.707030 | − | 0.0104107i | ||||
\(723\) | −5.73917 | −0.213442 | ||||||||
\(724\) | −0.263518 | − | 1.49449i | −0.00979358 | − | 0.0555421i | ||||
\(725\) | −3.87939 | + | 3.25519i | −0.144077 | + | 0.120895i | ||||
\(726\) | 7.42262 | − | 2.70161i | 0.275479 | − | 0.100266i | ||||
\(727\) | 23.0060 | + | 8.37349i | 0.853245 | + | 0.310556i | 0.731363 | − | 0.681989i | \(-0.238885\pi\) |
0.121882 | + | 0.992545i | \(0.461107\pi\) | |||||||
\(728\) | −12.1985 | − | 10.2357i | −0.452105 | − | 0.379361i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | −8.29086 | − | 14.3602i | −0.306858 | − | 0.531494i | ||||
\(731\) | 0.710074 | − | 4.02703i | 0.0262630 | − | 0.148945i | ||||
\(732\) | −1.51754 | + | 8.60640i | −0.0560899 | + | 0.318102i | ||||
\(733\) | −2.90286 | − | 5.02789i | −0.107219 | − | 0.185710i | 0.807423 | − | 0.589972i | \(-0.200861\pi\) |
−0.914643 | + | 0.404263i | \(0.867528\pi\) | |||||||
\(734\) | −17.6138 | + | 30.5080i | −0.650138 | + | 1.12607i | ||||
\(735\) | −2.40760 | − | 2.02022i | −0.0888058 | − | 0.0745169i | ||||
\(736\) | −5.97178 | − | 2.17355i | −0.220123 | − | 0.0801181i | ||||
\(737\) | 63.9154 | − | 23.2633i | 2.35435 | − | 0.856915i | ||||
\(738\) | 8.08899 | − | 6.78747i | 0.297760 | − | 0.249850i | ||||
\(739\) | −3.86231 | − | 21.9043i | −0.142077 | − | 0.805761i | −0.969667 | − | 0.244428i | \(-0.921400\pi\) |
0.827590 | − | 0.561333i | \(-0.189711\pi\) | |||||||
\(740\) | 1.98545 | 0.0729867 | ||||||||
\(741\) | −14.1318 | − | 16.5920i | −0.519143 | − | 0.609521i | ||||
\(742\) | 14.9760 | 0.549785 | ||||||||
\(743\) | −7.59668 | − | 43.0829i | −0.278695 | − | 1.58056i | −0.726974 | − | 0.686665i | \(-0.759074\pi\) |
0.448279 | − | 0.893894i | \(-0.352037\pi\) | |||||||
\(744\) | 3.94356 | − | 3.30904i | 0.144578 | − | 0.121315i | ||||
\(745\) | −2.33275 | + | 0.849051i | −0.0854653 | + | 0.0311068i | ||||
\(746\) | −25.1853 | − | 9.16668i | −0.922098 | − | 0.335616i | ||||
\(747\) | 3.41147 | + | 2.86257i | 0.124819 | + | 0.104736i | ||||
\(748\) | 2.03415 | − | 3.52325i | 0.0743758 | − | 0.128823i | ||||
\(749\) | −19.1088 | − | 33.0973i | −0.698219 | − | 1.20935i | ||||
\(750\) | 0.173648 | − | 0.984808i | 0.00634073 | − | 0.0359601i | ||||
\(751\) | 4.81345 | − | 27.2984i | 0.175645 | − | 0.996134i | −0.761751 | − | 0.647870i | \(-0.775660\pi\) |
0.937396 | − | 0.348264i | \(-0.113229\pi\) | |||||||
\(752\) | −4.60607 | − | 7.97794i | −0.167966 | − | 0.290926i | ||||
\(753\) | 12.0398 | − | 20.8536i | 0.438756 | − | 0.759947i | ||||
\(754\) | 19.3969 | + | 16.2760i | 0.706394 | + | 0.592735i | ||||
\(755\) | −4.02734 | − | 1.46583i | −0.146570 | − | 0.0533471i | ||||
\(756\) | −2.99273 | + | 1.08926i | −0.108844 | + | 0.0396161i | ||||
\(757\) | 12.1532 | − | 10.1977i | 0.441714 | − | 0.370642i | −0.394636 | − | 0.918838i | \(-0.629129\pi\) |
0.836351 | + | 0.548195i | \(0.184685\pi\) | |||||||
\(758\) | 5.68614 | + | 32.2477i | 0.206530 | + | 1.17129i | ||||
\(759\) | 27.6272 | 1.00280 | ||||||||
\(760\) | 2.77719 | − | 3.35965i | 0.100739 | − | 0.121867i | ||||
\(761\) | −29.9540 | −1.08583 | −0.542916 | − | 0.839787i | \(-0.682680\pi\) | ||||
−0.542916 | + | 0.839787i | \(0.682680\pi\) | |||||||
\(762\) | 0.182266 | + | 1.03368i | 0.00660281 | + | 0.0374464i | ||||
\(763\) | 22.3182 | − | 18.7272i | 0.807973 | − | 0.677970i | ||||
\(764\) | −10.8648 | + | 3.95448i | −0.393076 | + | 0.143068i | ||||
\(765\) | 0.879385 | + | 0.320070i | 0.0317942 | + | 0.0115722i | ||||
\(766\) | −11.1853 | − | 9.38555i | −0.404140 | − | 0.339114i | ||||
\(767\) | −33.3512 | + | 57.7660i | −1.20424 | + | 2.08581i | ||||
\(768\) | −0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | ||||
\(769\) | −5.88784 | + | 33.3916i | −0.212321 | + | 1.20413i | 0.673174 | + | 0.739484i | \(0.264930\pi\) |
−0.885495 | + | 0.464648i | \(0.846181\pi\) | |||||||
\(770\) | −2.40420 | + | 13.6349i | −0.0866414 | + | 0.491368i | ||||
\(771\) | −8.38919 | − | 14.5305i | −0.302129 | − | 0.523303i | ||||
\(772\) | 1.06418 | − | 1.84321i | 0.0383006 | − | 0.0663386i | ||||
\(773\) | −26.1668 | − | 21.9566i | −0.941156 | − | 0.789724i | 0.0366302 | − | 0.999329i | \(-0.488338\pi\) |
−0.977786 | + | 0.209605i | \(0.932782\pi\) | |||||||
\(774\) | 4.10607 | + | 1.49449i | 0.147590 | + | 0.0537182i | ||||
\(775\) | 4.83750 | − | 1.76070i | 0.173768 | − | 0.0632464i | ||||
\(776\) | −9.07192 | + | 7.61224i | −0.325663 | + | 0.273264i | ||||
\(777\) | −1.09802 | − | 6.22719i | −0.0393913 | − | 0.223399i | ||||
\(778\) | 3.91622 | 0.140403 | ||||||||
\(779\) | 45.3858 | + | 7.65868i | 1.62612 | + | 0.274401i | ||||
\(780\) | −5.00000 | −0.179029 | ||||||||
\(781\) | −8.51249 | − | 48.2767i | −0.304601 | − | 1.72748i | ||||
\(782\) | 4.55581 | − | 3.82278i | 0.162915 | − | 0.136702i | ||||
\(783\) | 4.75877 | − | 1.73205i | 0.170065 | − | 0.0618984i | ||||
\(784\) | −2.95336 | − | 1.07494i | −0.105477 | − | 0.0383906i | ||||
\(785\) | −16.4722 | − | 13.8219i | −0.587920 | − | 0.493323i | ||||
\(786\) | −0.127889 | + | 0.221510i | −0.00456164 | + | 0.00790099i | ||||
\(787\) | 24.3773 | + | 42.2228i | 0.868958 | + | 1.50508i | 0.863063 | + | 0.505096i | \(0.168543\pi\) |
0.00589493 | + | 0.999983i | \(0.498124\pi\) | |||||||
\(788\) | −2.90554 | + | 16.4782i | −0.103506 | + | 0.587010i | ||||
\(789\) | 2.22550 | − | 12.6214i | 0.0792299 | − | 0.449335i | ||||
\(790\) | 4.36959 | + | 7.56834i | 0.155463 | + | 0.269270i | ||||
\(791\) | −14.6382 | + | 25.3540i | −0.520473 | + | 0.901486i | ||||
\(792\) | 3.33022 | + | 2.79439i | 0.118334 | + | 0.0992943i | ||||
\(793\) | 41.0607 | + | 14.9449i | 1.45811 | + | 0.530708i | ||||
\(794\) | 0.326352 | − | 0.118782i | 0.0115818 | − | 0.00421543i | ||||
\(795\) | 3.60220 | − | 3.02260i | 0.127757 | − | 0.107201i | ||||
\(796\) | 0.539830 | + | 3.06153i | 0.0191338 | + | 0.108513i | ||||
\(797\) | −39.4971 | −1.39906 | −0.699530 | − | 0.714603i | \(-0.746607\pi\) | ||||
−0.699530 | + | 0.714603i | \(0.746607\pi\) | |||||||
\(798\) | −12.0731 | − | 6.85240i | −0.427383 | − | 0.242572i | ||||
\(799\) | 8.62092 | 0.304986 | ||||||||
\(800\) | −0.173648 | − | 0.984808i | −0.00613939 | − | 0.0348182i | ||||
\(801\) | 9.21554 | − | 7.73275i | 0.325615 | − | 0.273223i | ||||
\(802\) | 35.9495 | − | 13.0846i | 1.26942 | − | 0.462032i | ||||
\(803\) | 67.7383 | + | 24.6547i | 2.39043 | + | 0.870047i | ||||
\(804\) | 11.9855 | + | 10.0570i | 0.422694 | + | 0.354683i | ||||
\(805\) | −10.1197 | + | 17.5279i | −0.356674 | + | 0.617777i | ||||
\(806\) | −12.8699 | − | 22.2913i | −0.453323 | − | 0.785178i | ||||
\(807\) | 2.91353 | − | 16.5235i | 0.102561 | − | 0.581654i | ||||
\(808\) | 1.09833 | − | 6.22892i | 0.0386390 | − | 0.219133i | ||||
\(809\) | −11.5719 | − | 20.0432i | −0.406847 | − | 0.704680i | 0.587688 | − | 0.809088i | \(-0.300038\pi\) |
−0.994535 | + | 0.104408i | \(0.966705\pi\) | |||||||
\(810\) | −0.500000 | + | 0.866025i | −0.0175682 | + | 0.0304290i | ||||
\(811\) | 33.0369 | + | 27.7212i | 1.16008 | + | 0.973425i | 0.999907 | − | 0.0136640i | \(-0.00434952\pi\) |
0.160176 | + | 0.987089i | \(0.448794\pi\) | |||||||
\(812\) | 15.1557 | + | 5.51622i | 0.531861 | + | 0.193581i | ||||
\(813\) | 3.07873 | − | 1.12056i | 0.107976 | − | 0.0392999i | ||||
\(814\) | −6.61200 | + | 5.54812i | −0.231750 | + | 0.194462i | ||||
\(815\) | 1.30541 | + | 7.40333i | 0.0457264 | + | 0.259327i | ||||
\(816\) | 0.935822 | 0.0327603 | ||||||||
\(817\) | 6.64590 | + | 17.8495i | 0.232510 | + | 0.624475i | ||||
\(818\) | 14.6031 | 0.510585 | ||||||||
\(819\) | 2.76517 | + | 15.6820i | 0.0966228 | + | 0.547975i | ||||
\(820\) | 8.08899 | − | 6.78747i | 0.282480 | − | 0.237029i | ||||
\(821\) | 6.85978 | − | 2.49676i | 0.239408 | − | 0.0871374i | −0.219530 | − | 0.975606i | \(-0.570452\pi\) |
0.458938 | + | 0.888468i | \(0.348230\pi\) | |||||||
\(822\) | −11.2071 | − | 4.07904i | −0.390892 | − | 0.142273i | ||||
\(823\) | −21.1668 | − | 17.7611i | −0.737830 | − | 0.619113i | 0.194424 | − | 0.980918i | \(-0.437716\pi\) |
−0.932254 | + | 0.361805i | \(0.882161\pi\) | |||||||
\(824\) | 6.65657 | − | 11.5295i | 0.231893 | − | 0.401650i | ||||
\(825\) | 2.17365 | + | 3.76487i | 0.0756767 | + | 0.131076i | ||||
\(826\) | −7.37774 | + | 41.8412i | −0.256704 | + | 1.45584i | ||||
\(827\) | −0.331815 | + | 1.88182i | −0.0115383 | + | 0.0654371i | −0.990033 | − | 0.140834i | \(-0.955022\pi\) |
0.978495 | + | 0.206271i | \(0.0661328\pi\) | |||||||
\(828\) | 3.17752 | + | 5.50362i | 0.110426 | + | 0.191264i | ||||
\(829\) | −2.49020 | + | 4.31315i | −0.0864882 | + | 0.149802i | −0.906024 | − | 0.423225i | \(-0.860898\pi\) |
0.819536 | + | 0.573027i | \(0.194231\pi\) | |||||||
\(830\) | 3.41147 | + | 2.86257i | 0.118414 | + | 0.0993611i | ||||
\(831\) | 8.69846 | + | 3.16598i | 0.301746 | + | 0.109827i | ||||
\(832\) | −4.69846 | + | 1.71010i | −0.162890 | + | 0.0592871i | ||||
\(833\) | 2.25309 | − | 1.89057i | 0.0780649 | − | 0.0655042i | ||||
\(834\) | 2.81180 | + | 15.9465i | 0.0973648 | + | 0.552183i | ||||
\(835\) | −13.0419 | −0.451333 | ||||||||
\(836\) | 0.139500 | + | 18.9489i | 0.00482470 | + | 0.655362i | ||||
\(837\) | −5.14796 | −0.177939 | ||||||||
\(838\) | 1.60947 | + | 9.12776i | 0.0555982 | + | 0.315313i | ||||
\(839\) | −38.1070 | + | 31.9756i | −1.31560 | + | 1.10392i | −0.328381 | + | 0.944545i | \(0.606503\pi\) |
−0.987218 | + | 0.159374i | \(0.949052\pi\) | |||||||
\(840\) | −2.99273 | + | 1.08926i | −0.103259 | + | 0.0375832i | ||||
\(841\) | 3.15183 | + | 1.14717i | 0.108684 | + | 0.0395576i | ||||
\(842\) | −4.94356 | − | 4.14814i | −0.170366 | − | 0.142954i | ||||
\(843\) | −7.41534 | + | 12.8438i | −0.255398 | + | 0.442362i | ||||
\(844\) | 6.84864 | + | 11.8622i | 0.235740 | + | 0.408314i | ||||
\(845\) | −2.08378 | + | 11.8177i | −0.0716841 | + | 0.406541i | ||||
\(846\) | −1.59967 | + | 9.07218i | −0.0549978 | + | 0.311908i | ||||
\(847\) | −12.5783 | − | 21.7863i | −0.432196 | − | 0.748585i | ||||
\(848\) | 2.35117 | − | 4.07234i | 0.0807394 | − | 0.139845i | ||||
\(849\) | 12.7023 | + | 10.6585i | 0.435943 | + | 0.365800i | ||||
\(850\) | 0.879385 | + | 0.320070i | 0.0301627 | + | 0.0109783i | ||||
\(851\) | −11.8567 | + | 4.31548i | −0.406442 | + | 0.147933i | ||||
\(852\) | 8.63816 | − | 7.24827i | 0.295938 | − | 0.248322i | ||||
\(853\) | 8.00939 | + | 45.4235i | 0.274236 | + | 1.55527i | 0.741377 | + | 0.671088i | \(0.234173\pi\) |
−0.467141 | + | 0.884183i | \(0.654716\pi\) | |||||||
\(854\) | 27.8324 | 0.952407 | ||||||||
\(855\) | −4.28699 | + | 0.788496i | −0.146612 | + | 0.0269660i | ||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | −6.40467 | − | 36.3227i | −0.218779 | − | 1.24076i | −0.874227 | − | 0.485518i | \(-0.838631\pi\) |
0.655447 | − | 0.755241i | \(-0.272480\pi\) | |||||||
\(858\) | 16.6511 | − | 13.9719i | 0.568460 | − | 0.476994i | ||||
\(859\) | 28.5403 | − | 10.3878i | 0.973782 | − | 0.354428i | 0.194363 | − | 0.980930i | \(-0.437736\pi\) |
0.779420 | + | 0.626502i | \(0.215514\pi\) | |||||||
\(860\) | 4.10607 | + | 1.49449i | 0.140016 | + | 0.0509616i | ||||
\(861\) | −25.7618 | − | 21.6167i | −0.877959 | − | 0.736695i | ||||
\(862\) | −5.43882 | + | 9.42030i | −0.185247 | + | 0.320857i | ||||
\(863\) | −0.739885 | − | 1.28152i | −0.0251860 | − | 0.0436234i | 0.853158 | − | 0.521653i | \(-0.174684\pi\) |
−0.878344 | + | 0.478030i | \(0.841351\pi\) | |||||||
\(864\) | −0.173648 | + | 0.984808i | −0.00590763 | + | 0.0335038i | ||||
\(865\) | 0.0748553 | − | 0.424525i | 0.00254516 | − | 0.0144343i | ||||
\(866\) | 0.00774079 | + | 0.0134074i | 0.000263043 | + | 0.000455603i | ||||
\(867\) | 8.06212 | − | 13.9640i | 0.273804 | − | 0.474242i | ||||
\(868\) | −12.5594 | − | 10.5386i | −0.426295 | − | 0.357704i | ||||
\(869\) | −35.7006 | − | 12.9939i | −1.21106 | − | 0.440789i | ||||
\(870\) | 4.75877 | − | 1.73205i | 0.161337 | − | 0.0587220i | ||||
\(871\) | 59.9273 | − | 50.2849i | 2.03056 | − | 1.70384i | ||||
\(872\) | −1.58853 | − | 9.00898i | −0.0537943 | − | 0.305082i | ||||
\(873\) | 11.8425 | 0.400810 | ||||||||
\(874\) | −9.28240 | + | 26.0994i | −0.313982 | + | 0.882827i | ||||
\(875\) | −3.18479 | −0.107666 | ||||||||
\(876\) | 2.87939 | + | 16.3298i | 0.0972854 | + | 0.551733i | ||||
\(877\) | 23.5390 | − | 19.7515i | 0.794854 | − | 0.666962i | −0.152088 | − | 0.988367i | \(-0.548600\pi\) |
0.946942 | + | 0.321405i | \(0.104155\pi\) | |||||||
\(878\) | −5.30541 | + | 1.93101i | −0.179049 | + | 0.0651684i | ||||
\(879\) | 1.04411 | + | 0.380025i | 0.0352170 | + | 0.0128179i | ||||
\(880\) | 3.33022 | + | 2.79439i | 0.112262 | + | 0.0941988i | ||||
\(881\) | 12.7677 | − | 22.1143i | 0.430155 | − | 0.745049i | −0.566732 | − | 0.823902i | \(-0.691792\pi\) |
0.996886 | + | 0.0788529i | \(0.0251257\pi\) | |||||||
\(882\) | 1.57145 | + | 2.72183i | 0.0529135 | + | 0.0916489i | ||||
\(883\) | 7.80066 | − | 44.2397i | 0.262513 | − | 1.48879i | −0.513511 | − | 0.858083i | \(-0.671656\pi\) |
0.776024 | − | 0.630703i | \(-0.217233\pi\) | |||||||
\(884\) | 0.812519 | − | 4.60802i | 0.0273280 | − | 0.154985i | ||||
\(885\) | 6.67024 | + | 11.5532i | 0.224218 | + | 0.388357i | ||||
\(886\) | 9.68004 | − | 16.7663i | 0.325207 | − | 0.563276i | ||||
\(887\) | 41.7825 | + | 35.0596i | 1.40292 | + | 1.17719i | 0.959787 | + | 0.280731i | \(0.0905769\pi\) |
0.443131 | + | 0.896457i | \(0.353868\pi\) | |||||||
\(888\) | −1.86571 | − | 0.679065i | −0.0626093 | − | 0.0227879i | ||||
\(889\) | 3.14125 | − | 1.14332i | 0.105354 | − | 0.0383458i | ||||
\(890\) | 9.21554 | − | 7.73275i | 0.308906 | − | 0.259202i | ||||
\(891\) | −0.754900 | − | 4.28125i | −0.0252901 | − | 0.143427i | ||||
\(892\) | −7.29860 | −0.244375 | ||||||||
\(893\) | −34.6263 | + | 20.3328i | −1.15872 | + | 0.680413i | ||||
\(894\) | 2.48246 | 0.0830259 | ||||||||
\(895\) | −2.69981 | − | 15.3114i | −0.0902446 | − | 0.511803i | ||||
\(896\) | −2.43969 | + | 2.04715i | −0.0815044 | + | 0.0683903i | ||||
\(897\) | 29.8589 | − | 10.8678i | 0.996960 | − | 0.362864i | ||||
\(898\) | 0.405078 | + | 0.147436i | 0.0135176 | + | 0.00492001i | ||||
\(899\) | 19.9709 | + | 16.7576i | 0.666067 | + | 0.558897i | ||||
\(900\) | −0.500000 | + | 0.866025i | −0.0166667 | + | 0.0288675i | ||||
\(901\) | 2.20027 | + | 3.81099i | 0.0733018 | + | 0.126962i | ||||
\(902\) | −7.97131 | + | 45.2076i | −0.265416 | + | 1.50525i | ||||
\(903\) | 2.41653 | − | 13.7048i | 0.0804170 | − | 0.456067i | ||||
\(904\) | 4.59627 | + | 7.96097i | 0.152870 | + | 0.264778i | ||||
\(905\) | −0.758770 | + | 1.31423i | −0.0252224 | + | 0.0436865i | ||||
\(906\) | 3.28312 | + | 2.75486i | 0.109074 | + | 0.0915242i | ||||
\(907\) | 41.7229 | + | 15.1859i | 1.38539 | + | 0.504239i | 0.923806 | − | 0.382860i | \(-0.125061\pi\) |
0.461579 | + | 0.887099i | \(0.347283\pi\) | |||||||
\(908\) | −7.02229 | + | 2.55590i | −0.233043 | + | 0.0848207i | ||||
\(909\) | −4.84524 | + | 4.06564i | −0.160706 | + | 0.134849i | ||||
\(910\) | 2.76517 | + | 15.6820i | 0.0916644 | + | 0.519855i | ||||
\(911\) | −21.5776 | −0.714898 | −0.357449 | − | 0.933933i | \(-0.616353\pi\) | ||||
−0.357449 | + | 0.933933i | \(0.616353\pi\) | |||||||
\(912\) | −3.75877 | + | 2.20718i | −0.124465 | + | 0.0730870i | ||||
\(913\) | −19.3601 | −0.640725 | ||||||||
\(914\) | −3.61587 | − | 20.5066i | −0.119602 | − | 0.678298i | ||||
\(915\) | 6.69459 | − | 5.61743i | 0.221316 | − | 0.185707i | ||||
\(916\) | 6.75877 | − | 2.45999i | 0.223316 | − | 0.0812804i | ||||
\(917\) | 0.765472 | + | 0.278609i | 0.0252781 | + | 0.00920048i | ||||
\(918\) | −0.716881 | − | 0.601535i | −0.0236606 | − | 0.0198536i | ||||
\(919\) | 21.2645 | − | 36.8311i | 0.701450 | − | 1.21495i | −0.266508 | − | 0.963833i | \(-0.585870\pi\) |
0.967958 | − | 0.251114i | \(-0.0807968\pi\) | |||||||
\(920\) | 3.17752 | + | 5.50362i | 0.104760 | + | 0.181449i | ||||
\(921\) | 5.52435 | − | 31.3301i | 0.182033 | − | 1.03236i | ||||
\(922\) | 4.97090 | − | 28.1914i | 0.163708 | − | 0.928434i | ||||
\(923\) | −28.1908 | − | 48.8279i | −0.927911 | − | 1.60719i | ||||
\(924\) | 6.92262 | − | 11.9903i | 0.227737 | − | 0.394453i | ||||
\(925\) | −1.52094 | − | 1.27622i | −0.0500083 | − | 0.0419620i | ||||
\(926\) | 6.36319 | + | 2.31601i | 0.209107 | + | 0.0761089i | ||||
\(927\) | −12.5103 | + | 4.55336i | −0.410891 | + | 0.149552i | ||||
\(928\) | 3.87939 | − | 3.25519i | 0.127347 | − | 0.106857i | ||||
\(929\) | 8.68820 | + | 49.2732i | 0.285050 | + | 1.61660i | 0.705105 | + | 0.709103i | \(0.250900\pi\) |
−0.420055 | + | 0.907499i | \(0.637989\pi\) | |||||||
\(930\) | −5.14796 | −0.168808 | ||||||||
\(931\) | −4.59064 | + | 12.9076i | −0.150452 | + | 0.423028i | ||||
\(932\) | 15.5175 | 0.508294 | ||||||||
\(933\) | 1.02229 | + | 5.79769i | 0.0334682 | + | 0.189808i | ||||
\(934\) | −6.16250 | + | 5.17095i | −0.201643 | + | 0.169199i | ||||
\(935\) | −3.82295 | + | 1.39144i | −0.125024 | + | 0.0455049i | ||||
\(936\) | 4.69846 | + | 1.71010i | 0.153574 | + | 0.0558964i | ||||
\(937\) | −43.5003 | − | 36.5011i | −1.42109 | − | 1.19244i | −0.950752 | − | 0.309954i | \(-0.899686\pi\) |
−0.470341 | − | 0.882484i | \(-0.655869\pi\) | |||||||
\(938\) | 24.9145 | − | 43.1531i | 0.813486 | − | 1.40900i | ||||
\(939\) | −6.28312 | − | 10.8827i | −0.205042 | − | 0.355143i | ||||
\(940\) | −1.59967 | + | 9.07218i | −0.0521755 | + | 0.295902i | ||||
\(941\) | 1.08915 | − | 6.17690i | 0.0355054 | − | 0.201361i | −0.961895 | − | 0.273419i | \(-0.911845\pi\) |
0.997400 | + | 0.0720577i | \(0.0229566\pi\) | |||||||
\(942\) | 10.7515 | + | 18.6221i | 0.350303 | + | 0.606742i | ||||
\(943\) | −33.5528 | + | 58.1151i | −1.09263 | + | 1.89249i | ||||
\(944\) | 10.2194 | + | 8.57510i | 0.332613 | + | 0.279096i | ||||
\(945\) | 2.99273 | + | 1.08926i | 0.0973534 | + | 0.0354337i | ||||
\(946\) | −17.8503 | + | 6.49697i | −0.580363 | + | 0.211235i | ||||
\(947\) | −21.2722 | + | 17.8495i | −0.691253 | + | 0.580030i | −0.919270 | − | 0.393627i | \(-0.871220\pi\) |
0.228017 | + | 0.973657i | \(0.426776\pi\) | |||||||
\(948\) | −1.51754 | − | 8.60640i | −0.0492874 | − | 0.279523i | ||||
\(949\) | 82.9086 | 2.69133 | ||||||||
\(950\) | −4.28699 | + | 0.788496i | −0.139088 | + | 0.0255822i | ||||
\(951\) | 18.6040 | 0.603276 | ||||||||
\(952\) | −0.517541 | − | 2.93512i | −0.0167736 | − | 0.0951278i | ||||
\(953\) | 11.7246 | − | 9.83813i | 0.379798 | − | 0.318688i | −0.432825 | − | 0.901478i | \(-0.642483\pi\) |
0.812623 | + | 0.582790i | \(0.198039\pi\) | |||||||
\(954\) | −4.41875 | + | 1.60829i | −0.143062 | + | 0.0520704i | ||||
\(955\) | 10.8648 | + | 3.95448i | 0.351578 | + | 0.127964i | ||||
\(956\) | 11.5817 | + | 9.71822i | 0.374580 | + | 0.314310i | ||||
\(957\) | −11.0077 | + | 19.0660i | −0.355830 | + | 0.616315i | ||||
\(958\) | −7.12836 | − | 12.3467i | −0.230307 | − | 0.398903i | ||||
\(959\) | −6.59566 | + | 37.4058i | −0.212985 | + | 1.20790i | ||||
\(960\) | −0.173648 | + | 0.984808i | −0.00560447 | + | 0.0317845i | ||||
\(961\) | 2.24928 | + | 3.89586i | 0.0725573 | + | 0.125673i | ||||
\(962\) | −4.96363 | + | 8.59726i | −0.160034 | + | 0.277187i | ||||
\(963\) | 9.19253 | + | 7.71345i | 0.296225 | + | 0.248562i | ||||
\(964\) | 5.39306 | + | 1.96291i | 0.173699 | + | 0.0632211i | ||||
\(965\) | −2.00000 | + | 0.727940i | −0.0643823 | + | 0.0234332i | ||||
\(966\) | 15.5043 | − | 13.0097i | 0.498844 | − | 0.418580i | ||||
\(967\) | −6.19665 | − | 35.1430i | −0.199271 | − | 1.13012i | −0.906204 | − | 0.422841i | \(-0.861033\pi\) |
0.706933 | − | 0.707280i | \(-0.250078\pi\) | |||||||
\(968\) | −7.89899 | −0.253883 | ||||||||
\(969\) | −0.0300295 | − | 4.07904i | −0.000964686 | − | 0.131038i | ||||
\(970\) | 11.8425 | 0.380241 | ||||||||
\(971\) | 9.78952 | + | 55.5191i | 0.314160 | + | 1.78169i | 0.576889 | + | 0.816823i | \(0.304267\pi\) |
−0.262728 | + | 0.964870i | \(0.584622\pi\) | |||||||
\(972\) | 0.766044 | − | 0.642788i | 0.0245709 | − | 0.0206174i | ||||
\(973\) | 48.4598 | − | 17.6379i | 1.55355 | − | 0.565446i | ||||
\(974\) | 17.5744 | + | 6.39657i | 0.563122 | + | 0.204959i | ||||
\(975\) | 3.83022 | + | 3.21394i | 0.122665 | + | 0.102928i | ||||
\(976\) | 4.36959 | − | 7.56834i | 0.139867 | − | 0.242257i | ||||
\(977\) | 7.34730 | + | 12.7259i | 0.235061 | + | 0.407137i | 0.959290 | − | 0.282422i | \(-0.0911377\pi\) |
−0.724230 | + | 0.689559i | \(0.757804\pi\) | |||||||
\(978\) | 1.30541 | − | 7.40333i | 0.0417423 | − | 0.236732i | ||||
\(979\) | −9.08147 | + | 51.5036i | −0.290245 | + | 1.64606i | ||||
\(980\) | 1.57145 | + | 2.72183i | 0.0501982 | + | 0.0869458i | ||||
\(981\) | −4.57398 | + | 7.92236i | −0.146036 | + | 0.252942i | ||||
\(982\) | 9.93242 | + | 8.33429i | 0.316956 | + | 0.265958i | ||||
\(983\) | 16.1001 | + | 5.85997i | 0.513515 | + | 0.186904i | 0.585763 | − | 0.810483i | \(-0.300795\pi\) |
−0.0722480 | + | 0.997387i | \(0.523017\pi\) | |||||||
\(984\) | −9.92262 | + | 3.61154i | −0.316322 | + | 0.115132i | ||||
\(985\) | 12.8177 | − | 10.7554i | 0.408407 | − | 0.342694i | ||||
\(986\) | 0.822948 | + | 4.66717i | 0.0262080 | + | 0.148633i | ||||
\(987\) | 29.3387 | 0.933862 | ||||||||
\(988\) | 7.60472 | + | 20.4247i | 0.241938 | + | 0.649796i | ||||
\(989\) | −27.7689 | −0.882999 | ||||||||
\(990\) | −0.754900 | − | 4.28125i | −0.0239923 | − | 0.136067i | ||||
\(991\) | 8.49794 | − | 7.13062i | 0.269946 | − | 0.226512i | −0.497758 | − | 0.867316i | \(-0.665843\pi\) |
0.767704 | + | 0.640804i | \(0.221399\pi\) | |||||||
\(992\) | −4.83750 | + | 1.76070i | −0.153591 | + | 0.0559024i | ||||
\(993\) | −0.0859997 | − | 0.0313013i | −0.00272912 | − | 0.000993317i | ||||
\(994\) | −27.5107 | − | 23.0842i | −0.872587 | − | 0.732188i | ||||
\(995\) | 1.55438 | − | 2.69226i | 0.0492771 | − | 0.0853504i | ||||
\(996\) | −2.22668 | − | 3.85673i | −0.0705551 | − | 0.122205i | ||||
\(997\) | −5.49778 | + | 31.1795i | −0.174116 | + | 0.987463i | 0.765042 | + | 0.643980i | \(0.222718\pi\) |
−0.939159 | + | 0.343483i | \(0.888393\pi\) | |||||||
\(998\) | −6.71317 | + | 38.0723i | −0.212502 | + | 1.20516i | ||||
\(999\) | 0.992726 | + | 1.71945i | 0.0314085 | + | 0.0544011i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 570.2.u.b.541.1 | yes | 6 | |
19.17 | even | 9 | inner | 570.2.u.b.511.1 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.u.b.511.1 | ✓ | 6 | 19.17 | even | 9 | inner | |
570.2.u.b.541.1 | yes | 6 | 1.1 | even | 1 | trivial |