Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [390,2,Mod(67,390)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(390, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("390.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 390.bn (of order \(12\), degree \(4\), 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: | \(3.11416567883\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 67.2 | ||
Root | \(-1.09227 - 0.838128i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 390.67 |
Dual form | 390.2.bn.b.163.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).
\(n\) | \(131\) | \(157\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −0.965926 | − | 0.258819i | −0.557678 | − | 0.149429i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 2.06394 | + | 0.860320i | 0.923022 | + | 0.384747i | ||||
\(6\) | −0.258819 | − | 0.965926i | −0.105662 | − | 0.394338i | ||||
\(7\) | 0.450069 | + | 0.259847i | 0.170110 | + | 0.0982131i | 0.582638 | − | 0.812732i | \(-0.302021\pi\) |
−0.412528 | + | 0.910945i | \(0.635354\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | 0.286912 | + | 2.21758i | 0.0907294 | + | 0.701262i | ||||
\(11\) | 0.222514 | − | 0.830435i | 0.0670906 | − | 0.250386i | −0.924233 | − | 0.381829i | \(-0.875294\pi\) |
0.991324 | + | 0.131443i | \(0.0419611\pi\) | |||||||
\(12\) | 0.707107 | − | 0.707107i | 0.204124 | − | 0.204124i | ||||
\(13\) | 1.76341 | + | 3.14490i | 0.489082 | + | 0.872238i | ||||
\(14\) | 0.519695i | 0.138894i | ||||||||
\(15\) | −1.77095 | − | 1.36519i | −0.457256 | − | 0.352491i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.09452 | + | 4.08479i | 0.265459 | + | 0.990707i | 0.961969 | + | 0.273159i | \(0.0880686\pi\) |
−0.696510 | + | 0.717547i | \(0.745265\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 0.0538940 | − | 0.0144409i | 0.0123641 | − | 0.00331296i | −0.252632 | − | 0.967563i | \(-0.581296\pi\) |
0.264996 | + | 0.964250i | \(0.414629\pi\) | |||||||
\(20\) | −1.77703 | + | 1.35727i | −0.397356 | + | 0.303494i | ||||
\(21\) | −0.367480 | − | 0.367480i | −0.0801907 | − | 0.0801907i | ||||
\(22\) | 0.830435 | − | 0.222514i | 0.177049 | − | 0.0474402i | ||||
\(23\) | 0.0474866 | − | 0.177222i | 0.00990164 | − | 0.0369534i | −0.960798 | − | 0.277248i | \(-0.910578\pi\) |
0.970700 | + | 0.240295i | \(0.0772442\pi\) | |||||||
\(24\) | 0.965926 | + | 0.258819i | 0.197169 | + | 0.0528312i | ||||
\(25\) | 3.51970 | + | 3.55130i | 0.703940 | + | 0.710259i | ||||
\(26\) | −1.84186 | + | 3.09961i | −0.361218 | + | 0.607883i | ||||
\(27\) | −0.707107 | − | 0.707107i | −0.136083 | − | 0.136083i | ||||
\(28\) | −0.450069 | + | 0.259847i | −0.0850550 | + | 0.0491066i | ||||
\(29\) | −6.27365 | + | 3.62210i | −1.16499 | + | 0.672606i | −0.952494 | − | 0.304556i | \(-0.901492\pi\) |
−0.212494 | + | 0.977162i | \(0.568159\pi\) | |||||||
\(30\) | 0.296818 | − | 2.21628i | 0.0541913 | − | 0.404636i | ||||
\(31\) | 3.09986 | − | 3.09986i | 0.556752 | − | 0.556752i | −0.371629 | − | 0.928381i | \(-0.621201\pi\) |
0.928381 | + | 0.371629i | \(0.121201\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.429865 | + | 0.744548i | −0.0748299 | + | 0.129609i | ||||
\(34\) | −2.99027 | + | 2.99027i | −0.512828 | + | 0.512828i | ||||
\(35\) | 0.705364 | + | 0.923513i | 0.119228 | + | 0.156102i | ||||
\(36\) | −0.866025 | + | 0.500000i | −0.144338 | + | 0.0833333i | ||||
\(37\) | −0.195463 | + | 0.112851i | −0.0321339 | + | 0.0185525i | −0.515981 | − | 0.856600i | \(-0.672572\pi\) |
0.483847 | + | 0.875153i | \(0.339239\pi\) | |||||||
\(38\) | 0.0394531 | + | 0.0394531i | 0.00640014 | + | 0.00640014i | ||||
\(39\) | −0.889363 | − | 3.49414i | −0.142412 | − | 0.559511i | ||||
\(40\) | −2.06394 | − | 0.860320i | −0.326338 | − | 0.136028i | ||||
\(41\) | −0.0280536 | − | 0.00751694i | −0.00438124 | − | 0.00117395i | 0.256628 | − | 0.966510i | \(-0.417389\pi\) |
−0.261009 | + | 0.965336i | \(0.584055\pi\) | |||||||
\(42\) | 0.134507 | − | 0.501987i | 0.0207549 | − | 0.0774582i | ||||
\(43\) | 4.63274 | − | 1.24134i | 0.706487 | − | 0.189303i | 0.112352 | − | 0.993668i | \(-0.464161\pi\) |
0.594134 | + | 0.804366i | \(0.297495\pi\) | |||||||
\(44\) | 0.607921 | + | 0.607921i | 0.0916475 | + | 0.0916475i | ||||
\(45\) | 1.35727 | + | 1.77703i | 0.202329 | + | 0.264904i | ||||
\(46\) | 0.177222 | − | 0.0474866i | 0.0261300 | − | 0.00700152i | ||||
\(47\) | 5.53738i | 0.807710i | 0.914823 | + | 0.403855i | \(0.132330\pi\) | ||||
−0.914823 | + | 0.403855i | \(0.867670\pi\) | |||||||
\(48\) | 0.258819 | + | 0.965926i | 0.0373573 | + | 0.139419i | ||||
\(49\) | −3.36496 | − | 5.82828i | −0.480708 | − | 0.832611i | ||||
\(50\) | −1.31566 | + | 4.82380i | −0.186063 | + | 0.682188i | ||||
\(51\) | − | 4.22888i | − | 0.592162i | ||||||
\(52\) | −3.60527 | − | 0.0452920i | −0.499961 | − | 0.00628087i | ||||
\(53\) | 2.49867 | − | 2.49867i | 0.343219 | − | 0.343219i | −0.514357 | − | 0.857576i | \(-0.671969\pi\) |
0.857576 | + | 0.514357i | \(0.171969\pi\) | |||||||
\(54\) | 0.258819 | − | 0.965926i | 0.0352208 | − | 0.131446i | ||||
\(55\) | 1.17370 | − | 1.52254i | 0.158261 | − | 0.205299i | ||||
\(56\) | −0.450069 | − | 0.259847i | −0.0601430 | − | 0.0347236i | ||||
\(57\) | −0.0557952 | −0.00739025 | ||||||||
\(58\) | −6.27365 | − | 3.62210i | −0.823771 | − | 0.475605i | ||||
\(59\) | −1.31167 | − | 4.89521i | −0.170765 | − | 0.637302i | −0.997234 | − | 0.0743209i | \(-0.976321\pi\) |
0.826470 | − | 0.562981i | \(-0.190346\pi\) | |||||||
\(60\) | 2.06776 | − | 0.851088i | 0.266947 | − | 0.109875i | ||||
\(61\) | 7.21773 | − | 12.5015i | 0.924135 | − | 1.60065i | 0.131189 | − | 0.991357i | \(-0.458120\pi\) |
0.792946 | − | 0.609292i | \(-0.208546\pi\) | |||||||
\(62\) | 4.23449 | + | 1.13463i | 0.537781 | + | 0.144098i | ||||
\(63\) | 0.259847 | + | 0.450069i | 0.0327377 | + | 0.0567034i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.933954 | + | 8.00798i | 0.115843 | + | 0.993268i | ||||
\(66\) | −0.859730 | −0.105825 | ||||||||
\(67\) | −6.85698 | − | 11.8766i | −0.837713 | − | 1.45096i | −0.891802 | − | 0.452426i | \(-0.850559\pi\) |
0.0540887 | − | 0.998536i | \(-0.482775\pi\) | |||||||
\(68\) | −4.08479 | − | 1.09452i | −0.495353 | − | 0.132730i | ||||
\(69\) | −0.0917371 | + | 0.158893i | −0.0110438 | + | 0.0191285i | ||||
\(70\) | −0.447104 | + | 1.07262i | −0.0534391 | + | 0.128203i | ||||
\(71\) | −1.78083 | − | 6.64614i | −0.211345 | − | 0.788752i | −0.987421 | − | 0.158112i | \(-0.949459\pi\) |
0.776076 | − | 0.630640i | \(-0.217207\pi\) | |||||||
\(72\) | −0.866025 | − | 0.500000i | −0.102062 | − | 0.0589256i | ||||
\(73\) | 2.40525 | 0.281513 | 0.140756 | − | 0.990044i | \(-0.455047\pi\) | ||||
0.140756 | + | 0.990044i | \(0.455047\pi\) | |||||||
\(74\) | −0.195463 | − | 0.112851i | −0.0227221 | − | 0.0131186i | ||||
\(75\) | −2.48063 | − | 4.34125i | −0.286438 | − | 0.501285i | ||||
\(76\) | −0.0144409 | + | 0.0538940i | −0.00165648 | + | 0.00618206i | ||||
\(77\) | 0.315933 | − | 0.315933i | 0.0360039 | − | 0.0360039i | ||||
\(78\) | 2.58133 | − | 2.51728i | 0.292279 | − | 0.285026i | ||||
\(79\) | − | 16.0201i | − | 1.80240i | −0.433402 | − | 0.901201i | \(-0.642687\pi\) | ||
0.433402 | − | 0.901201i | \(-0.357313\pi\) | |||||||
\(80\) | −0.286912 | − | 2.21758i | −0.0320777 | − | 0.247934i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −0.00751694 | − | 0.0280536i | −0.000830108 | − | 0.00309800i | ||||
\(83\) | 4.83100i | 0.530271i | 0.964211 | + | 0.265136i | \(0.0854167\pi\) | ||||
−0.964211 | + | 0.265136i | \(0.914583\pi\) | |||||||
\(84\) | 0.501987 | − | 0.134507i | 0.0547712 | − | 0.0146759i | ||||
\(85\) | −1.25521 | + | 9.37239i | −0.136146 | + | 1.01658i | ||||
\(86\) | 3.39140 | + | 3.39140i | 0.365704 | + | 0.365704i | ||||
\(87\) | 6.99735 | − | 1.87494i | 0.750195 | − | 0.201014i | ||||
\(88\) | −0.222514 | + | 0.830435i | −0.0237201 | + | 0.0885247i | ||||
\(89\) | −14.9100 | − | 3.99511i | −1.58045 | − | 0.423481i | −0.641386 | − | 0.767218i | \(-0.721640\pi\) |
−0.939066 | + | 0.343737i | \(0.888307\pi\) | |||||||
\(90\) | −0.860320 | + | 2.06394i | −0.0906856 | + | 0.217558i | ||||
\(91\) | −0.0235380 | + | 1.87364i | −0.00246745 | + | 0.196411i | ||||
\(92\) | 0.129736 | + | 0.129736i | 0.0135259 | + | 0.0135259i | ||||
\(93\) | −3.79654 | + | 2.19193i | −0.393683 | + | 0.227293i | ||||
\(94\) | −4.79551 | + | 2.76869i | −0.494619 | + | 0.285569i | ||||
\(95\) | 0.123658 | + | 0.0165610i | 0.0126870 | + | 0.00169912i | ||||
\(96\) | −0.707107 | + | 0.707107i | −0.0721688 | + | 0.0721688i | ||||
\(97\) | 3.14672 | − | 5.45027i | 0.319501 | − | 0.553392i | −0.660883 | − | 0.750489i | \(-0.729818\pi\) |
0.980384 | + | 0.197097i | \(0.0631515\pi\) | |||||||
\(98\) | 3.36496 | − | 5.82828i | 0.339912 | − | 0.588745i | ||||
\(99\) | 0.607921 | − | 0.607921i | 0.0610983 | − | 0.0610983i | ||||
\(100\) | −4.83536 | + | 1.27250i | −0.483536 | + | 0.127250i | ||||
\(101\) | 4.39076 | − | 2.53501i | 0.436897 | − | 0.252243i | −0.265384 | − | 0.964143i | \(-0.585499\pi\) |
0.702281 | + | 0.711900i | \(0.252165\pi\) | |||||||
\(102\) | 3.66232 | − | 2.11444i | 0.362624 | − | 0.209361i | ||||
\(103\) | 5.95248 | + | 5.95248i | 0.586515 | + | 0.586515i | 0.936686 | − | 0.350171i | \(-0.113876\pi\) |
−0.350171 | + | 0.936686i | \(0.613876\pi\) | |||||||
\(104\) | −1.76341 | − | 3.14490i | −0.172917 | − | 0.308383i | ||||
\(105\) | −0.442306 | − | 1.07461i | −0.0431647 | − | 0.104871i | ||||
\(106\) | 3.41325 | + | 0.914577i | 0.331524 | + | 0.0888315i | ||||
\(107\) | −1.81541 | + | 6.77519i | −0.175502 | + | 0.654982i | 0.820964 | + | 0.570980i | \(0.193437\pi\) |
−0.996466 | + | 0.0840016i | \(0.973230\pi\) | |||||||
\(108\) | 0.965926 | − | 0.258819i | 0.0929463 | − | 0.0249049i | ||||
\(109\) | 6.23531 | + | 6.23531i | 0.597235 | + | 0.597235i | 0.939576 | − | 0.342341i | \(-0.111220\pi\) |
−0.342341 | + | 0.939576i | \(0.611220\pi\) | |||||||
\(110\) | 1.90540 | + | 0.255183i | 0.181673 | + | 0.0243308i | ||||
\(111\) | 0.218011 | − | 0.0584158i | 0.0206927 | − | 0.00554458i | ||||
\(112\) | − | 0.519695i | − | 0.0491066i | ||||||
\(113\) | 1.51348 | + | 5.64837i | 0.142376 | + | 0.531354i | 0.999858 | + | 0.0168406i | \(0.00536077\pi\) |
−0.857482 | + | 0.514513i | \(0.827973\pi\) | |||||||
\(114\) | −0.0278976 | − | 0.0483200i | −0.00261285 | − | 0.00452559i | ||||
\(115\) | 0.250478 | − | 0.324923i | 0.0233571 | − | 0.0302992i | ||||
\(116\) | − | 7.24419i | − | 0.672606i | ||||||
\(117\) | −0.0452920 | + | 3.60527i | −0.00418725 | + | 0.333307i | ||||
\(118\) | 3.58354 | − | 3.58354i | 0.329892 | − | 0.329892i | ||||
\(119\) | −0.568814 | + | 2.12284i | −0.0521431 | + | 0.194601i | ||||
\(120\) | 1.77095 | + | 1.36519i | 0.161665 | + | 0.124624i | ||||
\(121\) | 8.88617 | + | 5.13043i | 0.807834 | + | 0.466403i | ||||
\(122\) | 14.4355 | 1.30692 | ||||||||
\(123\) | 0.0251522 | + | 0.0145216i | 0.00226790 | + | 0.00130937i | ||||
\(124\) | 1.13463 | + | 4.23449i | 0.101893 | + | 0.380268i | ||||
\(125\) | 4.20920 | + | 10.3577i | 0.376482 | + | 0.926424i | ||||
\(126\) | −0.259847 | + | 0.450069i | −0.0231491 | + | 0.0400953i | ||||
\(127\) | −10.0408 | − | 2.69043i | −0.890979 | − | 0.238737i | −0.215841 | − | 0.976429i | \(-0.569249\pi\) |
−0.675138 | + | 0.737691i | \(0.735916\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −4.79617 | −0.422279 | ||||||||
\(130\) | −6.46814 | + | 4.81282i | −0.567293 | + | 0.422112i | ||||
\(131\) | −17.3948 | −1.51979 | −0.759894 | − | 0.650047i | \(-0.774749\pi\) | ||||
−0.759894 | + | 0.650047i | \(0.774749\pi\) | |||||||
\(132\) | −0.429865 | − | 0.744548i | −0.0374149 | − | 0.0648046i | ||||
\(133\) | 0.0280084 | + | 0.00750484i | 0.00242864 | + | 0.000650752i | ||||
\(134\) | 6.85698 | − | 11.8766i | 0.592353 | − | 1.02599i | ||||
\(135\) | −0.851088 | − | 2.06776i | −0.0732500 | − | 0.177965i | ||||
\(136\) | −1.09452 | − | 4.08479i | −0.0938540 | − | 0.350268i | ||||
\(137\) | 7.86958 | + | 4.54350i | 0.672343 | + | 0.388178i | 0.796964 | − | 0.604027i | \(-0.206438\pi\) |
−0.124621 | + | 0.992204i | \(0.539771\pi\) | |||||||
\(138\) | −0.183474 | −0.0156184 | ||||||||
\(139\) | 2.33716 | + | 1.34936i | 0.198236 | + | 0.114451i | 0.595832 | − | 0.803109i | \(-0.296822\pi\) |
−0.397597 | + | 0.917560i | \(0.630156\pi\) | |||||||
\(140\) | −1.15247 | + | 0.149107i | −0.0974013 | + | 0.0126018i | ||||
\(141\) | 1.43318 | − | 5.34870i | 0.120695 | − | 0.450442i | ||||
\(142\) | 4.86531 | − | 4.86531i | 0.408288 | − | 0.408288i | ||||
\(143\) | 3.00402 | − | 0.764612i | 0.251209 | − | 0.0639401i | ||||
\(144\) | − | 1.00000i | − | 0.0833333i | ||||||
\(145\) | −16.0646 | + | 2.07844i | −1.33409 | + | 0.172605i | ||||
\(146\) | 1.20262 | + | 2.08300i | 0.0995298 | + | 0.172391i | ||||
\(147\) | 1.74183 | + | 6.50060i | 0.143664 | + | 0.536161i | ||||
\(148\) | − | 0.225701i | − | 0.0185525i | ||||||
\(149\) | 4.01632 | − | 1.07617i | 0.329029 | − | 0.0881632i | −0.0905228 | − | 0.995894i | \(-0.528854\pi\) |
0.419552 | + | 0.907731i | \(0.362187\pi\) | |||||||
\(150\) | 2.51932 | − | 4.31891i | 0.205702 | − | 0.352638i | ||||
\(151\) | 2.79391 | + | 2.79391i | 0.227365 | + | 0.227365i | 0.811591 | − | 0.584226i | \(-0.198602\pi\) |
−0.584226 | + | 0.811591i | \(0.698602\pi\) | |||||||
\(152\) | −0.0538940 | + | 0.0144409i | −0.00437138 | + | 0.00117131i | ||||
\(153\) | −1.09452 | + | 4.08479i | −0.0884864 | + | 0.330236i | ||||
\(154\) | 0.431573 | + | 0.115640i | 0.0347771 | + | 0.00931851i | ||||
\(155\) | 9.06480 | − | 3.73106i | 0.728102 | − | 0.299686i | ||||
\(156\) | 3.47070 | + | 0.976860i | 0.277878 | + | 0.0782114i | ||||
\(157\) | −9.39011 | − | 9.39011i | −0.749413 | − | 0.749413i | 0.224956 | − | 0.974369i | \(-0.427776\pi\) |
−0.974369 | + | 0.224956i | \(0.927776\pi\) | |||||||
\(158\) | 13.8738 | − | 8.01005i | 1.10374 | − | 0.637245i | ||||
\(159\) | −3.06023 | + | 1.76683i | −0.242692 | + | 0.140118i | ||||
\(160\) | 1.77703 | − | 1.35727i | 0.140486 | − | 0.107301i | ||||
\(161\) | 0.0674231 | − | 0.0674231i | 0.00531368 | − | 0.00531368i | ||||
\(162\) | −0.500000 | + | 0.866025i | −0.0392837 | + | 0.0680414i | ||||
\(163\) | −11.4085 | + | 19.7602i | −0.893585 | + | 1.54773i | −0.0580388 | + | 0.998314i | \(0.518485\pi\) |
−0.835546 | + | 0.549420i | \(0.814849\pi\) | |||||||
\(164\) | 0.0205367 | − | 0.0205367i | 0.00160364 | − | 0.00160364i | ||||
\(165\) | −1.52776 | + | 1.16688i | −0.118936 | + | 0.0908416i | ||||
\(166\) | −4.18377 | + | 2.41550i | −0.324723 | + | 0.187479i | ||||
\(167\) | 11.5320 | − | 6.65800i | 0.892372 | − | 0.515211i | 0.0176545 | − | 0.999844i | \(-0.494380\pi\) |
0.874718 | + | 0.484633i | \(0.161047\pi\) | |||||||
\(168\) | 0.367480 | + | 0.367480i | 0.0283517 | + | 0.0283517i | ||||
\(169\) | −6.78077 | + | 11.0915i | −0.521598 | + | 0.853191i | ||||
\(170\) | −8.74434 | + | 3.59915i | −0.670660 | + | 0.276043i | ||||
\(171\) | 0.0538940 | + | 0.0144409i | 0.00412138 | + | 0.00110432i | ||||
\(172\) | −1.24134 | + | 4.63274i | −0.0946513 | + | 0.353243i | ||||
\(173\) | −18.6279 | + | 4.99132i | −1.41625 | + | 0.379483i | −0.884152 | − | 0.467199i | \(-0.845263\pi\) |
−0.532099 | + | 0.846682i | \(0.678597\pi\) | |||||||
\(174\) | 5.12242 | + | 5.12242i | 0.388329 | + | 0.388329i | ||||
\(175\) | 0.661313 | + | 2.51291i | 0.0499905 | + | 0.189958i | ||||
\(176\) | −0.830435 | + | 0.222514i | −0.0625964 | + | 0.0167727i | ||||
\(177\) | 5.06789i | 0.380926i | ||||||||
\(178\) | −3.99511 | − | 14.9100i | −0.299446 | − | 1.11755i | ||||
\(179\) | −10.1381 | − | 17.5596i | −0.757754 | − | 1.31247i | −0.943994 | − | 0.329964i | \(-0.892963\pi\) |
0.186240 | − | 0.982504i | \(-0.440370\pi\) | |||||||
\(180\) | −2.21758 | + | 0.286912i | −0.165289 | + | 0.0213851i | ||||
\(181\) | − | 14.3123i | − | 1.06382i | −0.846799 | − | 0.531912i | \(-0.821474\pi\) | ||
0.846799 | − | 0.531912i | \(-0.178526\pi\) | |||||||
\(182\) | −1.63439 | + | 0.916435i | −0.121149 | + | 0.0679307i | ||||
\(183\) | −10.2074 | + | 10.2074i | −0.754553 | + | 0.754553i | ||||
\(184\) | −0.0474866 | + | 0.177222i | −0.00350076 | + | 0.0130650i | ||||
\(185\) | −0.500512 | + | 0.0647563i | −0.0367983 | + | 0.00476098i | ||||
\(186\) | −3.79654 | − | 2.19193i | −0.278376 | − | 0.160720i | ||||
\(187\) | 3.63570 | 0.265869 | ||||||||
\(188\) | −4.79551 | − | 2.76869i | −0.349749 | − | 0.201927i | ||||
\(189\) | −0.134507 | − | 0.501987i | −0.00978394 | − | 0.0365142i | ||||
\(190\) | 0.0474866 | + | 0.115371i | 0.00344504 | + | 0.00836991i | ||||
\(191\) | −6.39485 | + | 11.0762i | −0.462715 | + | 0.801446i | −0.999095 | − | 0.0425302i | \(-0.986458\pi\) |
0.536380 | + | 0.843977i | \(0.319791\pi\) | |||||||
\(192\) | −0.965926 | − | 0.258819i | −0.0697097 | − | 0.0186787i | ||||
\(193\) | 1.10451 | + | 1.91307i | 0.0795045 | + | 0.137706i | 0.903036 | − | 0.429564i | \(-0.141333\pi\) |
−0.823532 | + | 0.567270i | \(0.808000\pi\) | |||||||
\(194\) | 6.29344 | 0.451842 | ||||||||
\(195\) | 1.17049 | − | 7.97684i | 0.0838203 | − | 0.571233i | ||||
\(196\) | 6.72992 | 0.480708 | ||||||||
\(197\) | −6.06986 | − | 10.5133i | −0.432460 | − | 0.749042i | 0.564625 | − | 0.825348i | \(-0.309021\pi\) |
−0.997084 | + | 0.0763056i | \(0.975688\pi\) | |||||||
\(198\) | 0.830435 | + | 0.222514i | 0.0590165 | + | 0.0158134i | ||||
\(199\) | −2.03805 | + | 3.53001i | −0.144474 | + | 0.250236i | −0.929176 | − | 0.369636i | \(-0.879482\pi\) |
0.784703 | + | 0.619872i | \(0.212816\pi\) | |||||||
\(200\) | −3.51970 | − | 3.55130i | −0.248880 | − | 0.251115i | ||||
\(201\) | 3.54943 | + | 13.2467i | 0.250358 | + | 0.934348i | ||||
\(202\) | 4.39076 | + | 2.53501i | 0.308933 | + | 0.178362i | ||||
\(203\) | −3.76477 | −0.264235 | ||||||||
\(204\) | 3.66232 | + | 2.11444i | 0.256414 | + | 0.148041i | ||||
\(205\) | −0.0514340 | − | 0.0396496i | −0.00359231 | − | 0.00276925i | ||||
\(206\) | −2.17876 | + | 8.13124i | −0.151801 | + | 0.566530i | ||||
\(207\) | 0.129736 | − | 0.129736i | 0.00901727 | − | 0.00901727i | ||||
\(208\) | 1.84186 | − | 3.09961i | 0.127710 | − | 0.214919i | ||||
\(209\) | − | 0.0479688i | − | 0.00331807i | ||||||
\(210\) | 0.709483 | − | 0.920352i | 0.0489590 | − | 0.0635103i | ||||
\(211\) | 7.38509 | + | 12.7914i | 0.508411 | + | 0.880593i | 0.999953 | + | 0.00973918i | \(0.00310013\pi\) |
−0.491542 | + | 0.870854i | \(0.663567\pi\) | |||||||
\(212\) | 0.914577 | + | 3.41325i | 0.0628134 | + | 0.234423i | ||||
\(213\) | 6.88059i | 0.471450i | ||||||||
\(214\) | −6.77519 | + | 1.81541i | −0.463142 | + | 0.124099i | ||||
\(215\) | 10.6297 | + | 1.42359i | 0.724936 | + | 0.0970879i | ||||
\(216\) | 0.707107 | + | 0.707107i | 0.0481125 | + | 0.0481125i | ||||
\(217\) | 2.20064 | − | 0.589661i | 0.149389 | − | 0.0400288i | ||||
\(218\) | −2.28228 | + | 8.51759i | −0.154576 | + | 0.576884i | ||||
\(219\) | −2.32329 | − | 0.622524i | −0.156993 | − | 0.0420662i | ||||
\(220\) | 0.731706 | + | 1.77772i | 0.0493316 | + | 0.119854i | ||||
\(221\) | −10.9162 | + | 10.6453i | −0.734301 | + | 0.716080i | ||||
\(222\) | 0.159595 | + | 0.159595i | 0.0107113 | + | 0.0107113i | ||||
\(223\) | 2.75364 | − | 1.58981i | 0.184397 | − | 0.106462i | −0.404960 | − | 0.914334i | \(-0.632714\pi\) |
0.589357 | + | 0.807873i | \(0.299381\pi\) | |||||||
\(224\) | 0.450069 | − | 0.259847i | 0.0300715 | − | 0.0173618i | ||||
\(225\) | 1.27250 | + | 4.83536i | 0.0848334 | + | 0.322358i | ||||
\(226\) | −4.13489 | + | 4.13489i | −0.275049 | + | 0.275049i | ||||
\(227\) | 14.4830 | − | 25.0852i | 0.961267 | − | 1.66496i | 0.241942 | − | 0.970291i | \(-0.422216\pi\) |
0.719326 | − | 0.694673i | \(-0.244451\pi\) | |||||||
\(228\) | 0.0278976 | − | 0.0483200i | 0.00184756 | − | 0.00320007i | ||||
\(229\) | −8.53343 | + | 8.53343i | −0.563905 | + | 0.563905i | −0.930414 | − | 0.366509i | \(-0.880553\pi\) |
0.366509 | + | 0.930414i | \(0.380553\pi\) | |||||||
\(230\) | 0.406630 | + | 0.0544584i | 0.0268124 | + | 0.00359088i | ||||
\(231\) | −0.386938 | + | 0.223399i | −0.0254586 | + | 0.0146985i | ||||
\(232\) | 6.27365 | − | 3.62210i | 0.411886 | − | 0.237802i | ||||
\(233\) | 7.11568 | + | 7.11568i | 0.466164 | + | 0.466164i | 0.900669 | − | 0.434505i | \(-0.143077\pi\) |
−0.434505 | + | 0.900669i | \(0.643077\pi\) | |||||||
\(234\) | −3.14490 | + | 1.76341i | −0.205588 | + | 0.115278i | ||||
\(235\) | −4.76392 | + | 11.4288i | −0.310764 | + | 0.745534i | ||||
\(236\) | 4.89521 | + | 1.31167i | 0.318651 | + | 0.0853823i | ||||
\(237\) | −4.14631 | + | 15.4742i | −0.269331 | + | 1.00516i | ||||
\(238\) | −2.12284 | + | 0.568814i | −0.137604 | + | 0.0368708i | ||||
\(239\) | 15.7046 | + | 15.7046i | 1.01584 | + | 1.01584i | 0.999872 | + | 0.0159718i | \(0.00508419\pi\) |
0.0159718 | + | 0.999872i | \(0.494916\pi\) | |||||||
\(240\) | −0.296818 | + | 2.21628i | −0.0191595 | + | 0.143060i | ||||
\(241\) | 24.1684 | − | 6.47591i | 1.55682 | − | 0.417150i | 0.625168 | − | 0.780490i | \(-0.285031\pi\) |
0.931656 | + | 0.363341i | \(0.118364\pi\) | |||||||
\(242\) | 10.2609i | 0.659593i | ||||||||
\(243\) | −0.258819 | − | 0.965926i | −0.0166032 | − | 0.0619642i | ||||
\(244\) | 7.21773 | + | 12.5015i | 0.462068 | + | 0.800325i | ||||
\(245\) | −1.93089 | − | 14.9242i | −0.123360 | − | 0.953470i | ||||
\(246\) | 0.0290432i | 0.00185173i | ||||||||
\(247\) | 0.140452 | + | 0.144026i | 0.00893676 | + | 0.00916415i | ||||
\(248\) | −3.09986 | + | 3.09986i | −0.196841 | + | 0.196841i | ||||
\(249\) | 1.25035 | − | 4.66639i | 0.0792380 | − | 0.295720i | ||||
\(250\) | −6.86546 | + | 8.82414i | −0.434210 | + | 0.558088i | ||||
\(251\) | −23.7056 | − | 13.6864i | −1.49628 | − | 0.863878i | −0.496290 | − | 0.868157i | \(-0.665305\pi\) |
−0.999991 | + | 0.00427828i | \(0.998638\pi\) | |||||||
\(252\) | −0.519695 | −0.0327377 | ||||||||
\(253\) | −0.136605 | − | 0.0788691i | −0.00858830 | − | 0.00495846i | ||||
\(254\) | −2.69043 | − | 10.0408i | −0.168813 | − | 0.630017i | ||||
\(255\) | 3.63819 | − | 8.72817i | 0.227832 | − | 0.546579i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −0.249933 | − | 0.0669693i | −0.0155904 | − | 0.00417743i | 0.251015 | − | 0.967983i | \(-0.419236\pi\) |
−0.266606 | + | 0.963806i | \(0.585902\pi\) | |||||||
\(258\) | −2.39808 | − | 4.15360i | −0.149298 | − | 0.258592i | ||||
\(259\) | −0.117296 | −0.00728840 | ||||||||
\(260\) | −7.40209 | − | 3.19516i | −0.459058 | − | 0.198156i | ||||
\(261\) | −7.24419 | −0.448404 | ||||||||
\(262\) | −8.69738 | − | 15.0643i | −0.537326 | − | 0.930676i | ||||
\(263\) | 6.00425 | + | 1.60883i | 0.370238 | + | 0.0992050i | 0.439140 | − | 0.898418i | \(-0.355283\pi\) |
−0.0689024 | + | 0.997623i | \(0.521950\pi\) | |||||||
\(264\) | 0.429865 | − | 0.744548i | 0.0264564 | − | 0.0458238i | ||||
\(265\) | 7.30676 | − | 3.00745i | 0.448851 | − | 0.184746i | ||||
\(266\) | 0.00750484 | + | 0.0280084i | 0.000460151 | + | 0.00171731i | ||||
\(267\) | 13.3679 | + | 7.71796i | 0.818102 | + | 0.472332i | ||||
\(268\) | 13.7140 | 0.837713 | ||||||||
\(269\) | 0.338208 | + | 0.195264i | 0.0206209 | + | 0.0119055i | 0.510275 | − | 0.860011i | \(-0.329544\pi\) |
−0.489654 | + | 0.871917i | \(0.662877\pi\) | |||||||
\(270\) | 1.36519 | − | 1.77095i | 0.0830829 | − | 0.107776i | ||||
\(271\) | −4.36922 | + | 16.3061i | −0.265411 | + | 0.990528i | 0.696587 | + | 0.717472i | \(0.254701\pi\) |
−0.961998 | + | 0.273056i | \(0.911966\pi\) | |||||||
\(272\) | 2.99027 | − | 2.99027i | 0.181312 | − | 0.181312i | ||||
\(273\) | 0.507669 | − | 1.80370i | 0.0307255 | − | 0.109165i | ||||
\(274\) | 9.08700i | 0.548966i | ||||||||
\(275\) | 3.73231 | − | 2.13267i | 0.225067 | − | 0.128605i | ||||
\(276\) | −0.0917371 | − | 0.158893i | −0.00552192 | − | 0.00956425i | ||||
\(277\) | −0.273563 | − | 1.02095i | −0.0164368 | − | 0.0613430i | 0.957220 | − | 0.289360i | \(-0.0934425\pi\) |
−0.973657 | + | 0.228017i | \(0.926776\pi\) | |||||||
\(278\) | 2.69872i | 0.161859i | ||||||||
\(279\) | 4.23449 | − | 1.13463i | 0.253512 | − | 0.0679284i | ||||
\(280\) | −0.705364 | − | 0.923513i | −0.0421535 | − | 0.0551904i | ||||
\(281\) | 9.59800 | + | 9.59800i | 0.572568 | + | 0.572568i | 0.932845 | − | 0.360277i | \(-0.117318\pi\) |
−0.360277 | + | 0.932845i | \(0.617318\pi\) | |||||||
\(282\) | 5.34870 | − | 1.43318i | 0.318510 | − | 0.0853446i | ||||
\(283\) | 2.48624 | − | 9.27878i | 0.147792 | − | 0.551566i | −0.851823 | − | 0.523829i | \(-0.824503\pi\) |
0.999615 | − | 0.0277374i | \(-0.00883024\pi\) | |||||||
\(284\) | 6.64614 | + | 1.78083i | 0.394376 | + | 0.105673i | ||||
\(285\) | −0.115158 | − | 0.0480017i | −0.00682136 | − | 0.00284337i | ||||
\(286\) | 2.16418 | + | 2.21925i | 0.127971 | + | 0.131227i | ||||
\(287\) | −0.0106728 | − | 0.0106728i | −0.000629996 | − | 0.000629996i | ||||
\(288\) | 0.866025 | − | 0.500000i | 0.0510310 | − | 0.0294628i | ||||
\(289\) | −0.765102 | + | 0.441732i | −0.0450060 | + | 0.0259842i | ||||
\(290\) | −9.83229 | − | 12.8731i | −0.577372 | − | 0.755937i | ||||
\(291\) | −4.45013 | + | 4.45013i | −0.260871 | + | 0.260871i | ||||
\(292\) | −1.20262 | + | 2.08300i | −0.0703782 | + | 0.121899i | ||||
\(293\) | −2.91359 | + | 5.04648i | −0.170214 | + | 0.294819i | −0.938494 | − | 0.345294i | \(-0.887779\pi\) |
0.768281 | + | 0.640113i | \(0.221112\pi\) | |||||||
\(294\) | −4.75877 | + | 4.75877i | −0.277537 | + | 0.277537i | ||||
\(295\) | 1.50424 | − | 11.2319i | 0.0875803 | − | 0.653945i | ||||
\(296\) | 0.195463 | − | 0.112851i | 0.0113611 | − | 0.00655931i | ||||
\(297\) | −0.744548 | + | 0.429865i | −0.0432031 | + | 0.0249433i | ||||
\(298\) | 2.94015 | + | 2.94015i | 0.170318 | + | 0.170318i | ||||
\(299\) | 0.641085 | − | 0.163175i | 0.0370749 | − | 0.00943666i | ||||
\(300\) | 4.99995 | + | 0.0223420i | 0.288672 | + | 0.00128991i | ||||
\(301\) | 2.40761 | + | 0.645118i | 0.138772 | + | 0.0371840i | ||||
\(302\) | −1.02264 | + | 3.81656i | −0.0588465 | + | 0.219618i | ||||
\(303\) | −4.89726 | + | 1.31222i | −0.281340 | + | 0.0753848i | ||||
\(304\) | −0.0394531 | − | 0.0394531i | −0.00226279 | − | 0.00226279i | ||||
\(305\) | 25.6522 | − | 19.5927i | 1.46884 | − | 1.12188i | ||||
\(306\) | −4.08479 | + | 1.09452i | −0.233512 | + | 0.0625693i | ||||
\(307\) | 4.52688i | 0.258363i | 0.991621 | + | 0.129181i | \(0.0412349\pi\) | ||||
−0.991621 | + | 0.129181i | \(0.958765\pi\) | |||||||
\(308\) | 0.115640 | + | 0.431573i | 0.00658918 | + | 0.0245912i | ||||
\(309\) | −4.20904 | − | 7.29027i | −0.239444 | − | 0.414729i | ||||
\(310\) | 7.76359 | + | 5.98482i | 0.440942 | + | 0.339915i | ||||
\(311\) | − | 27.6370i | − | 1.56715i | −0.621297 | − | 0.783575i | \(-0.713394\pi\) | ||
0.621297 | − | 0.783575i | \(-0.286606\pi\) | |||||||
\(312\) | 0.889363 | + | 3.49414i | 0.0503503 | + | 0.197817i | ||||
\(313\) | 22.4963 | − | 22.4963i | 1.27157 | − | 1.27157i | 0.326301 | − | 0.945266i | \(-0.394198\pi\) |
0.945266 | − | 0.326301i | \(-0.105802\pi\) | |||||||
\(314\) | 3.43702 | − | 12.8271i | 0.193962 | − | 0.723877i | ||||
\(315\) | 0.149107 | + | 1.15247i | 0.00840120 | + | 0.0649342i | ||||
\(316\) | 13.8738 | + | 8.01005i | 0.780463 | + | 0.450600i | ||||
\(317\) | −1.80472 | −0.101363 | −0.0506817 | − | 0.998715i | \(-0.516139\pi\) | ||||
−0.0506817 | + | 0.998715i | \(0.516139\pi\) | |||||||
\(318\) | −3.06023 | − | 1.76683i | −0.171609 | − | 0.0990787i | ||||
\(319\) | 1.61194 | + | 6.01583i | 0.0902512 | + | 0.336822i | ||||
\(320\) | 2.06394 | + | 0.860320i | 0.115378 | + | 0.0480933i | ||||
\(321\) | 3.50709 | − | 6.07447i | 0.195747 | − | 0.339044i | ||||
\(322\) | 0.0921016 | + | 0.0246786i | 0.00513262 | + | 0.00137528i | ||||
\(323\) | 0.117976 | + | 0.204340i | 0.00656434 | + | 0.0113698i | ||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −4.96180 | + | 17.3315i | −0.275231 | + | 0.961378i | ||||
\(326\) | −22.8171 | −1.26372 | ||||||||
\(327\) | −4.40903 | − | 7.63667i | −0.243820 | − | 0.422309i | ||||
\(328\) | 0.0280536 | + | 0.00751694i | 0.00154900 | + | 0.000415054i | ||||
\(329\) | −1.43887 | + | 2.49220i | −0.0793277 | + | 0.137400i | ||||
\(330\) | −1.77443 | − | 0.739642i | −0.0976792 | − | 0.0407160i | ||||
\(331\) | 5.25635 | + | 19.6170i | 0.288915 | + | 1.07825i | 0.945930 | + | 0.324369i | \(0.105152\pi\) |
−0.657015 | + | 0.753877i | \(0.728181\pi\) | |||||||
\(332\) | −4.18377 | − | 2.41550i | −0.229614 | − | 0.132568i | ||||
\(333\) | −0.225701 | −0.0123684 | ||||||||
\(334\) | 11.5320 | + | 6.65800i | 0.631002 | + | 0.364309i | ||||
\(335\) | −3.93469 | − | 30.4119i | −0.214975 | − | 1.66158i | ||||
\(336\) | −0.134507 | + | 0.501987i | −0.00733796 | + | 0.0273856i | ||||
\(337\) | −16.0244 | + | 16.0244i | −0.872903 | + | 0.872903i | −0.992788 | − | 0.119885i | \(-0.961747\pi\) |
0.119885 | + | 0.992788i | \(0.461747\pi\) | |||||||
\(338\) | −12.9959 | − | 0.326579i | −0.706884 | − | 0.0177636i | ||||
\(339\) | − | 5.84762i | − | 0.317599i | ||||||
\(340\) | −7.48913 | − | 5.77324i | −0.406155 | − | 0.313098i | ||||
\(341\) | −1.88447 | − | 3.26400i | −0.102050 | − | 0.176755i | ||||
\(342\) | 0.0144409 | + | 0.0538940i | 0.000780872 | + | 0.00291425i | ||||
\(343\) | − | 7.13537i | − | 0.385274i | ||||||
\(344\) | −4.63274 | + | 1.24134i | −0.249781 | + | 0.0669285i | ||||
\(345\) | −0.326039 | + | 0.249023i | −0.0175533 | + | 0.0134070i | ||||
\(346\) | −13.6366 | − | 13.6366i | −0.733106 | − | 0.733106i | ||||
\(347\) | −34.8393 | + | 9.33516i | −1.87027 | + | 0.501138i | −0.870309 | + | 0.492507i | \(0.836081\pi\) |
−0.999963 | + | 0.00863072i | \(0.997253\pi\) | |||||||
\(348\) | −1.87494 | + | 6.99735i | −0.100507 | + | 0.375097i | ||||
\(349\) | −3.51575 | − | 0.942042i | −0.188194 | − | 0.0504264i | 0.163491 | − | 0.986545i | \(-0.447724\pi\) |
−0.351685 | + | 0.936118i | \(0.614391\pi\) | |||||||
\(350\) | −1.84559 | + | 1.82917i | −0.0986510 | + | 0.0977733i | ||||
\(351\) | 0.976860 | − | 3.47070i | 0.0521410 | − | 0.185252i | ||||
\(352\) | −0.607921 | − | 0.607921i | −0.0324023 | − | 0.0324023i | ||||
\(353\) | 24.5055 | − | 14.1482i | 1.30429 | − | 0.753034i | 0.323156 | − | 0.946346i | \(-0.395256\pi\) |
0.981137 | + | 0.193311i | \(0.0619227\pi\) | |||||||
\(354\) | −4.38892 | + | 2.53395i | −0.233269 | + | 0.134678i | ||||
\(355\) | 2.04228 | − | 15.2493i | 0.108393 | − | 0.809350i | ||||
\(356\) | 10.9148 | − | 10.9148i | 0.578486 | − | 0.578486i | ||||
\(357\) | 1.09886 | − | 1.90329i | 0.0581581 | − | 0.100733i | ||||
\(358\) | 10.1381 | − | 17.5596i | 0.535813 | − | 0.928055i | ||||
\(359\) | 4.76749 | − | 4.76749i | 0.251619 | − | 0.251619i | −0.570015 | − | 0.821634i | \(-0.693063\pi\) |
0.821634 | + | 0.570015i | \(0.193063\pi\) | |||||||
\(360\) | −1.35727 | − | 1.77703i | −0.0715342 | − | 0.0936576i | ||||
\(361\) | −16.4518 | + | 9.49844i | −0.865884 | + | 0.499918i | ||||
\(362\) | 12.3948 | − | 7.15615i | 0.651457 | − | 0.376119i | ||||
\(363\) | −7.25553 | − | 7.25553i | −0.380816 | − | 0.380816i | ||||
\(364\) | −1.61085 | − | 0.957204i | −0.0844315 | − | 0.0501711i | ||||
\(365\) | 4.96429 | + | 2.06928i | 0.259843 | + | 0.108311i | ||||
\(366\) | −13.9436 | − | 3.73617i | −0.728843 | − | 0.195293i | ||||
\(367\) | −8.05298 | + | 30.0541i | −0.420362 | + | 1.56881i | 0.353485 | + | 0.935440i | \(0.384997\pi\) |
−0.773847 | + | 0.633373i | \(0.781670\pi\) | |||||||
\(368\) | −0.177222 | + | 0.0474866i | −0.00923836 | + | 0.00247541i | ||||
\(369\) | −0.0205367 | − | 0.0205367i | −0.00106910 | − | 0.00106910i | ||||
\(370\) | −0.306336 | − | 0.401078i | −0.0159257 | − | 0.0208510i | ||||
\(371\) | 1.77385 | − | 0.475301i | 0.0920935 | − | 0.0246764i | ||||
\(372\) | − | 4.38387i | − | 0.227293i | ||||||
\(373\) | −5.84130 | − | 21.8000i | −0.302451 | − | 1.12876i | −0.935117 | − | 0.354338i | \(-0.884706\pi\) |
0.632666 | − | 0.774425i | \(-0.281961\pi\) | |||||||
\(374\) | 1.81785 | + | 3.14861i | 0.0939987 | + | 0.162811i | ||||
\(375\) | −1.38500 | − | 11.0942i | −0.0715210 | − | 0.572903i | ||||
\(376\) | − | 5.53738i | − | 0.285569i | ||||||
\(377\) | −22.4541 | − | 13.3428i | −1.15645 | − | 0.687188i | ||||
\(378\) | 0.367480 | − | 0.367480i | 0.0189011 | − | 0.0189011i | ||||
\(379\) | −3.85119 | + | 14.3728i | −0.197822 | + | 0.738283i | 0.793696 | + | 0.608315i | \(0.208154\pi\) |
−0.991518 | + | 0.129968i | \(0.958512\pi\) | |||||||
\(380\) | −0.0761711 | + | 0.0988102i | −0.00390750 | + | 0.00506886i | ||||
\(381\) | 9.00236 | + | 5.19751i | 0.461205 | + | 0.266277i | ||||
\(382\) | −12.7897 | −0.654378 | ||||||||
\(383\) | −9.84116 | − | 5.68179i | −0.502860 | − | 0.290326i | 0.227034 | − | 0.973887i | \(-0.427097\pi\) |
−0.729894 | + | 0.683561i | \(0.760430\pi\) | |||||||
\(384\) | −0.258819 | − | 0.965926i | −0.0132078 | − | 0.0492922i | ||||
\(385\) | 0.923871 | − | 0.380264i | 0.0470848 | − | 0.0193800i | ||||
\(386\) | −1.10451 | + | 1.91307i | −0.0562182 | + | 0.0973727i | ||||
\(387\) | 4.63274 | + | 1.24134i | 0.235496 | + | 0.0631008i | ||||
\(388\) | 3.14672 | + | 5.45027i | 0.159750 | + | 0.276696i | ||||
\(389\) | 0.783134 | 0.0397065 | 0.0198532 | − | 0.999803i | \(-0.493680\pi\) | ||||
0.0198532 | + | 0.999803i | \(0.493680\pi\) | |||||||
\(390\) | 7.49339 | − | 2.97475i | 0.379442 | − | 0.150632i | ||||
\(391\) | 0.775891 | 0.0392385 | ||||||||
\(392\) | 3.36496 | + | 5.82828i | 0.169956 | + | 0.294373i | ||||
\(393\) | 16.8021 | + | 4.50210i | 0.847552 | + | 0.227101i | ||||
\(394\) | 6.06986 | − | 10.5133i | 0.305795 | − | 0.529653i | ||||
\(395\) | 13.7824 | − | 33.0645i | 0.693468 | − | 1.66366i | ||||
\(396\) | 0.222514 | + | 0.830435i | 0.0111818 | + | 0.0417309i | ||||
\(397\) | −12.3334 | − | 7.12070i | −0.618996 | − | 0.357378i | 0.157482 | − | 0.987522i | \(-0.449662\pi\) |
−0.776478 | + | 0.630144i | \(0.782996\pi\) | |||||||
\(398\) | −4.07610 | −0.204317 | ||||||||
\(399\) | −0.0251117 | − | 0.0144982i | −0.00125716 | − | 0.000725819i | ||||
\(400\) | 1.31566 | − | 4.82380i | 0.0657831 | − | 0.241190i | ||||
\(401\) | −8.08823 | + | 30.1857i | −0.403907 | + | 1.50740i | 0.402155 | + | 0.915571i | \(0.368261\pi\) |
−0.806062 | + | 0.591830i | \(0.798405\pi\) | |||||||
\(402\) | −9.69723 | + | 9.69723i | −0.483654 | + | 0.483654i | ||||
\(403\) | 15.2151 | + | 4.28243i | 0.757917 | + | 0.213323i | ||||
\(404\) | 5.07001i | 0.252243i | ||||||||
\(405\) | 0.286912 | + | 2.21758i | 0.0142568 | + | 0.110193i | ||||
\(406\) | −1.88239 | − | 3.26039i | −0.0934212 | − | 0.161810i | ||||
\(407\) | 0.0502218 | + | 0.187430i | 0.00248940 | + | 0.00929057i | ||||
\(408\) | 4.22888i | 0.209361i | ||||||||
\(409\) | 32.5735 | − | 8.72803i | 1.61065 | − | 0.431573i | 0.662416 | − | 0.749136i | \(-0.269531\pi\) |
0.948237 | + | 0.317563i | \(0.102864\pi\) | |||||||
\(410\) | 0.00862055 | − | 0.0643680i | 0.000425739 | − | 0.00317891i | ||||
\(411\) | −6.42548 | − | 6.42548i | −0.316946 | − | 0.316946i | ||||
\(412\) | −8.13124 | + | 2.17876i | −0.400597 | + | 0.107340i | ||||
\(413\) | 0.681667 | − | 2.54402i | 0.0335426 | − | 0.125183i | ||||
\(414\) | 0.177222 | + | 0.0474866i | 0.00871001 | + | 0.00233384i | ||||
\(415\) | −4.15620 | + | 9.97090i | −0.204020 | + | 0.489452i | ||||
\(416\) | 3.60527 | + | 0.0452920i | 0.176763 | + | 0.00222062i | ||||
\(417\) | −1.90829 | − | 1.90829i | −0.0934492 | − | 0.0934492i | ||||
\(418\) | 0.0415422 | − | 0.0239844i | 0.00203189 | − | 0.00117311i | ||||
\(419\) | 9.64226 | − | 5.56696i | 0.471055 | − | 0.271964i | −0.245626 | − | 0.969365i | \(-0.578994\pi\) |
0.716681 | + | 0.697401i | \(0.245660\pi\) | |||||||
\(420\) | 1.15179 | + | 0.154255i | 0.0562016 | + | 0.00752686i | ||||
\(421\) | 20.6313 | − | 20.6313i | 1.00551 | − | 1.00551i | 0.00552546 | − | 0.999985i | \(-0.498241\pi\) |
0.999985 | − | 0.00552546i | \(-0.00175882\pi\) | |||||||
\(422\) | −7.38509 | + | 12.7914i | −0.359501 | + | 0.622673i | ||||
\(423\) | −2.76869 | + | 4.79551i | −0.134618 | + | 0.233166i | ||||
\(424\) | −2.49867 | + | 2.49867i | −0.121346 | + | 0.121346i | ||||
\(425\) | −10.6539 | + | 18.2642i | −0.516791 | + | 0.885943i | ||||
\(426\) | −5.95877 | + | 3.44030i | −0.288703 | + | 0.166683i | ||||
\(427\) | 6.49695 | − | 3.75102i | 0.314409 | − | 0.181524i | ||||
\(428\) | −4.95978 | − | 4.95978i | −0.239740 | − | 0.239740i | ||||
\(429\) | −3.09956 | − | 0.0389389i | −0.149648 | − | 0.00187999i | ||||
\(430\) | 4.08196 | + | 9.91734i | 0.196850 | + | 0.478257i | ||||
\(431\) | 16.8679 | + | 4.51975i | 0.812500 | + | 0.217709i | 0.641065 | − | 0.767487i | \(-0.278493\pi\) |
0.171435 | + | 0.985195i | \(0.445160\pi\) | |||||||
\(432\) | −0.258819 | + | 0.965926i | −0.0124524 | + | 0.0464731i | ||||
\(433\) | −2.14717 | + | 0.575332i | −0.103186 | + | 0.0276487i | −0.310043 | − | 0.950723i | \(-0.600343\pi\) |
0.206856 | + | 0.978371i | \(0.433677\pi\) | |||||||
\(434\) | 1.61098 | + | 1.61098i | 0.0773296 | + | 0.0773296i | ||||
\(435\) | 16.0552 | + | 2.15021i | 0.769786 | + | 0.103094i | ||||
\(436\) | −8.51759 | + | 2.28228i | −0.407919 | + | 0.109302i | ||||
\(437\) | − | 0.0102370i | − | 0.000489701i | ||||||
\(438\) | −0.622524 | − | 2.32329i | −0.0297453 | − | 0.111011i | ||||
\(439\) | −18.9701 | − | 32.8571i | −0.905392 | − | 1.56819i | −0.820390 | − | 0.571805i | \(-0.806243\pi\) |
−0.0850025 | − | 0.996381i | \(-0.527090\pi\) | |||||||
\(440\) | −1.17370 | + | 1.52254i | −0.0559538 | + | 0.0725840i | ||||
\(441\) | − | 6.72992i | − | 0.320472i | ||||||
\(442\) | −14.6772 | − | 4.13103i | −0.698122 | − | 0.196493i | ||||
\(443\) | 15.4941 | − | 15.4941i | 0.736149 | − | 0.736149i | −0.235681 | − | 0.971830i | \(-0.575732\pi\) |
0.971830 | + | 0.235681i | \(0.0757322\pi\) | |||||||
\(444\) | −0.0584158 | + | 0.218011i | −0.00277229 | + | 0.0103463i | ||||
\(445\) | −27.3362 | − | 21.0730i | −1.29586 | − | 0.998956i | ||||
\(446\) | 2.75364 | + | 1.58981i | 0.130388 | + | 0.0752798i | ||||
\(447\) | −4.15800 | −0.196666 | ||||||||
\(448\) | 0.450069 | + | 0.259847i | 0.0212638 | + | 0.0122766i | ||||
\(449\) | 4.09810 | + | 15.2943i | 0.193402 | + | 0.721784i | 0.992675 | + | 0.120817i | \(0.0385513\pi\) |
−0.799273 | + | 0.600968i | \(0.794782\pi\) | |||||||
\(450\) | −3.55130 | + | 3.51970i | −0.167410 | + | 0.165920i | ||||
\(451\) | −0.0124847 | + | 0.0216241i | −0.000587880 | + | 0.00101824i | ||||
\(452\) | −5.64837 | − | 1.51348i | −0.265677 | − | 0.0711879i | ||||
\(453\) | −1.97560 | − | 3.42183i | −0.0928216 | − | 0.160772i | ||||
\(454\) | 28.9659 | 1.35944 | ||||||||
\(455\) | −1.66051 | + | 3.84683i | −0.0778459 | + | 0.180342i | ||||
\(456\) | 0.0557952 | 0.00261285 | ||||||||
\(457\) | −19.5983 | − | 33.9453i | −0.916771 | − | 1.58789i | −0.804288 | − | 0.594240i | \(-0.797453\pi\) |
−0.112483 | − | 0.993654i | \(-0.535880\pi\) | |||||||
\(458\) | −11.6569 | − | 3.12345i | −0.544691 | − | 0.145949i | ||||
\(459\) | 2.11444 | − | 3.66232i | 0.0986937 | − | 0.170943i | ||||
\(460\) | 0.156153 | + | 0.379381i | 0.00728066 | + | 0.0176887i | ||||
\(461\) | −2.72197 | − | 10.1585i | −0.126775 | − | 0.473130i | 0.873122 | − | 0.487502i | \(-0.162092\pi\) |
−0.999897 | + | 0.0143717i | \(0.995425\pi\) | |||||||
\(462\) | −0.386938 | − | 0.223399i | −0.0180020 | − | 0.0103934i | ||||
\(463\) | −31.3265 | −1.45586 | −0.727932 | − | 0.685649i | \(-0.759518\pi\) | ||||
−0.727932 | + | 0.685649i | \(0.759518\pi\) | |||||||
\(464\) | 6.27365 | + | 3.62210i | 0.291247 | + | 0.168152i | ||||
\(465\) | −9.72160 | + | 1.25778i | −0.450828 | + | 0.0583283i | ||||
\(466\) | −2.60452 | + | 9.72020i | −0.120652 | + | 0.450280i | ||||
\(467\) | −17.1532 | + | 17.1532i | −0.793754 | + | 0.793754i | −0.982102 | − | 0.188349i | \(-0.939687\pi\) |
0.188349 | + | 0.982102i | \(0.439687\pi\) | |||||||
\(468\) | −3.09961 | − | 1.84186i | −0.143279 | − | 0.0851399i | ||||
\(469\) | − | 7.12707i | − | 0.329098i | ||||||
\(470\) | −12.2796 | + | 1.58874i | −0.566416 | + | 0.0732830i | ||||
\(471\) | 6.63981 | + | 11.5005i | 0.305946 | + | 0.529915i | ||||
\(472\) | 1.31167 | + | 4.89521i | 0.0603744 | + | 0.225320i | ||||
\(473\) | − | 4.12341i | − | 0.189595i | ||||||
\(474\) | −15.4742 | + | 4.14631i | −0.710755 | + | 0.190446i | ||||
\(475\) | 0.240974 | + | 0.140566i | 0.0110567 | + | 0.00644961i | ||||
\(476\) | −1.55403 | − | 1.55403i | −0.0712288 | − | 0.0712288i | ||||
\(477\) | 3.41325 | − | 0.914577i | 0.156282 | − | 0.0418756i | ||||
\(478\) | −5.74827 | + | 21.4528i | −0.262920 | + | 0.981230i | ||||
\(479\) | 11.2332 | + | 3.00994i | 0.513260 | + | 0.137528i | 0.506147 | − | 0.862447i | \(-0.331069\pi\) |
0.00711279 | + | 0.999975i | \(0.497736\pi\) | |||||||
\(480\) | −2.06776 | + | 0.851088i | −0.0943801 | + | 0.0388467i | ||||
\(481\) | −0.699585 | − | 0.415709i | −0.0318983 | − | 0.0189547i | ||||
\(482\) | 17.6925 | + | 17.6925i | 0.805871 | + | 0.805871i | ||||
\(483\) | −0.0825761 | + | 0.0476753i | −0.00375734 | + | 0.00216930i | ||||
\(484\) | −8.88617 | + | 5.13043i | −0.403917 | + | 0.233201i | ||||
\(485\) | 11.1836 | − | 8.54186i | 0.507822 | − | 0.387866i | ||||
\(486\) | 0.707107 | − | 0.707107i | 0.0320750 | − | 0.0320750i | ||||
\(487\) | −4.57010 | + | 7.91564i | −0.207091 | + | 0.358692i | −0.950797 | − | 0.309815i | \(-0.899733\pi\) |
0.743706 | + | 0.668507i | \(0.233066\pi\) | |||||||
\(488\) | −7.21773 | + | 12.5015i | −0.326731 | + | 0.565915i | ||||
\(489\) | 16.1341 | − | 16.1341i | 0.729609 | − | 0.729609i | ||||
\(490\) | 11.9593 | − | 9.13428i | 0.540264 | − | 0.412645i | ||||
\(491\) | −6.88995 | + | 3.97792i | −0.310939 | + | 0.179521i | −0.647347 | − | 0.762196i | \(-0.724121\pi\) |
0.336407 | + | 0.941717i | \(0.390788\pi\) | |||||||
\(492\) | −0.0251522 | + | 0.0145216i | −0.00113395 | + | 0.000654685i | ||||
\(493\) | −21.6621 | − | 21.6621i | −0.975612 | − | 0.975612i | ||||
\(494\) | −0.0545041 | + | 0.193648i | −0.00245225 | + | 0.00871264i | ||||
\(495\) | 1.77772 | − | 0.731706i | 0.0799025 | − | 0.0328877i | ||||
\(496\) | −4.23449 | − | 1.13463i | −0.190134 | − | 0.0509463i | ||||
\(497\) | 0.925487 | − | 3.45397i | 0.0415138 | − | 0.154932i | ||||
\(498\) | 4.66639 | − | 1.25035i | 0.209106 | − | 0.0560297i | ||||
\(499\) | 21.9284 | + | 21.9284i | 0.981650 | + | 0.981650i | 0.999835 | − | 0.0181843i | \(-0.00578857\pi\) |
−0.0181843 | + | 0.999835i | \(0.505789\pi\) | |||||||
\(500\) | −11.0747 | − | 1.53359i | −0.495274 | − | 0.0685842i | ||||
\(501\) | −12.8623 | + | 3.44643i | −0.574644 | + | 0.153975i | ||||
\(502\) | − | 27.3728i | − | 1.22171i | ||||||
\(503\) | 4.95760 | + | 18.5020i | 0.221049 | + | 0.824964i | 0.983949 | + | 0.178449i | \(0.0571078\pi\) |
−0.762901 | + | 0.646516i | \(0.776225\pi\) | |||||||
\(504\) | −0.259847 | − | 0.450069i | −0.0115745 | − | 0.0200477i | ||||
\(505\) | 11.2432 | − | 1.45465i | 0.500315 | − | 0.0647309i | ||||
\(506\) | − | 0.157738i | − | 0.00701232i | ||||||
\(507\) | 9.42041 | − | 8.95856i | 0.418375 | − | 0.397864i | ||||
\(508\) | 7.35039 | − | 7.35039i | 0.326121 | − | 0.326121i | ||||
\(509\) | −8.14806 | + | 30.4090i | −0.361156 | + | 1.34785i | 0.511401 | + | 0.859342i | \(0.329127\pi\) |
−0.872557 | + | 0.488512i | \(0.837540\pi\) | |||||||
\(510\) | 9.37791 | − | 1.21332i | 0.415261 | − | 0.0537265i | ||||
\(511\) | 1.08253 | + | 0.624997i | 0.0478882 | + | 0.0276482i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.0483200 | − | 0.0278976i | −0.00213338 | − | 0.00123171i | ||||
\(514\) | −0.0669693 | − | 0.249933i | −0.00295389 | − | 0.0110241i | ||||
\(515\) | 7.16453 | + | 17.4066i | 0.315707 | + | 0.767027i | ||||
\(516\) | 2.39808 | − | 4.15360i | 0.105570 | − | 0.182852i | ||||
\(517\) | 4.59843 | + | 1.23215i | 0.202239 | + | 0.0541898i | ||||
\(518\) | −0.0586479 | − | 0.101581i | −0.00257684 | − | 0.00446322i | ||||
\(519\) | 19.2850 | 0.846517 | ||||||||
\(520\) | −0.933954 | − | 8.00798i | −0.0409566 | − | 0.351173i | ||||
\(521\) | 38.1901 | 1.67314 | 0.836568 | − | 0.547862i | \(-0.184558\pi\) | ||||
0.836568 | + | 0.547862i | \(0.184558\pi\) | |||||||
\(522\) | −3.62210 | − | 6.27365i | −0.158535 | − | 0.274590i | ||||
\(523\) | 1.41502 | + | 0.379154i | 0.0618747 | + | 0.0165793i | 0.289624 | − | 0.957141i | \(-0.406470\pi\) |
−0.227749 | + | 0.973720i | \(0.573137\pi\) | |||||||
\(524\) | 8.69738 | − | 15.0643i | 0.379947 | − | 0.658087i | ||||
\(525\) | 0.0116110 | − | 2.59845i | 0.000506746 | − | 0.113406i | ||||
\(526\) | 1.60883 | + | 6.00425i | 0.0701485 | + | 0.261798i | ||||
\(527\) | 16.0551 | + | 9.26943i | 0.699372 | + | 0.403783i | ||||
\(528\) | 0.859730 | 0.0374149 | ||||||||
\(529\) | 19.8894 | + | 11.4832i | 0.864758 | + | 0.499268i | ||||
\(530\) | 6.25791 | + | 4.82411i | 0.271826 | + | 0.209546i | ||||
\(531\) | 1.31167 | − | 4.89521i | 0.0569215 | − | 0.212434i | ||||
\(532\) | −0.0205036 | + | 0.0205036i | −0.000888944 | + | 0.000888944i | ||||
\(533\) | −0.0258300 | − | 0.101481i | −0.00111882 | − | 0.00439564i | ||||
\(534\) | 15.4359i | 0.667978i | ||||||||
\(535\) | −9.57571 | + | 12.4218i | −0.413994 | + | 0.537039i | ||||
\(536\) | 6.85698 | + | 11.8766i | 0.296176 | + | 0.512993i | ||||
\(537\) | 5.24784 | + | 19.5852i | 0.226461 | + | 0.845165i | ||||
\(538\) | 0.390528i | 0.0168369i | ||||||||
\(539\) | −5.58876 | + | 1.49750i | −0.240725 | + | 0.0645021i | ||||
\(540\) | 2.21628 | + | 0.296818i | 0.0953735 | + | 0.0127730i | ||||
\(541\) | −21.3618 | − | 21.3618i | −0.918417 | − | 0.918417i | 0.0784970 | − | 0.996914i | \(-0.474988\pi\) |
−0.996914 | + | 0.0784970i | \(0.974988\pi\) | |||||||
\(542\) | −16.3061 | + | 4.36922i | −0.700409 | + | 0.187674i | ||||
\(543\) | −3.70429 | + | 13.8246i | −0.158966 | + | 0.593271i | ||||
\(544\) | 4.08479 | + | 1.09452i | 0.175134 | + | 0.0469270i | ||||
\(545\) | 7.50495 | + | 18.2337i | 0.321477 | + | 0.781045i | ||||
\(546\) | 1.81589 | − | 0.462197i | 0.0777128 | − | 0.0197802i | ||||
\(547\) | 13.4041 | + | 13.4041i | 0.573116 | + | 0.573116i | 0.932998 | − | 0.359882i | \(-0.117183\pi\) |
−0.359882 | + | 0.932998i | \(0.617183\pi\) | |||||||
\(548\) | −7.86958 | + | 4.54350i | −0.336172 | + | 0.194089i | ||||
\(549\) | 12.5015 | − | 7.21773i | 0.533550 | − | 0.308045i | ||||
\(550\) | 3.71310 | + | 2.16594i | 0.158327 | + | 0.0923559i | ||||
\(551\) | −0.285806 | + | 0.285806i | −0.0121758 | + | 0.0121758i | ||||
\(552\) | 0.0917371 | − | 0.158893i | 0.00390459 | − | 0.00676295i | ||||
\(553\) | 4.16278 | − | 7.21015i | 0.177019 | − | 0.306607i | ||||
\(554\) | 0.747388 | − | 0.747388i | 0.0317535 | − | 0.0317535i | ||||
\(555\) | 0.500217 | + | 0.0669921i | 0.0212330 | + | 0.00284366i | ||||
\(556\) | −2.33716 | + | 1.34936i | −0.0991178 | + | 0.0572257i | ||||
\(557\) | −28.8536 | + | 16.6586i | −1.22256 | + | 0.705848i | −0.965464 | − | 0.260536i | \(-0.916101\pi\) |
−0.257101 | + | 0.966385i | \(0.582767\pi\) | |||||||
\(558\) | 3.09986 | + | 3.09986i | 0.131228 | + | 0.131228i | ||||
\(559\) | 12.0733 | + | 12.3805i | 0.510647 | + | 0.523640i | ||||
\(560\) | 0.447104 | − | 1.07262i | 0.0188936 | − | 0.0453264i | ||||
\(561\) | −3.51181 | − | 0.940988i | −0.148269 | − | 0.0397285i | ||||
\(562\) | −3.51311 | + | 13.1111i | −0.148192 | + | 0.553059i | ||||
\(563\) | −25.7554 | + | 6.90115i | −1.08546 | + | 0.290849i | −0.756832 | − | 0.653610i | \(-0.773254\pi\) |
−0.328631 | + | 0.944458i | \(0.606587\pi\) | |||||||
\(564\) | 3.91552 | + | 3.91552i | 0.164873 | + | 0.164873i | ||||
\(565\) | −1.73568 | + | 12.9600i | −0.0730206 | + | 0.545230i | ||||
\(566\) | 9.27878 | − | 2.48624i | 0.390016 | − | 0.104505i | ||||
\(567\) | 0.519695i | 0.0218251i | ||||||||
\(568\) | 1.78083 | + | 6.64614i | 0.0747219 | + | 0.278866i | ||||
\(569\) | 20.0582 | + | 34.7418i | 0.840883 | + | 1.45645i | 0.889149 | + | 0.457618i | \(0.151297\pi\) |
−0.0482653 | + | 0.998835i | \(0.515369\pi\) | |||||||
\(570\) | −0.0160083 | − | 0.123730i | −0.000670513 | − | 0.00518250i | ||||
\(571\) | 5.59408i | 0.234105i | 0.993126 | + | 0.117053i | \(0.0373446\pi\) | ||||
−0.993126 | + | 0.117053i | \(0.962655\pi\) | |||||||
\(572\) | −0.839836 | + | 2.98386i | −0.0351153 | + | 0.124762i | ||||
\(573\) | 9.04369 | − | 9.04369i | 0.377806 | − | 0.377806i | ||||
\(574\) | 0.00390652 | − | 0.0145793i | 0.000163055 | − | 0.000608529i | ||||
\(575\) | 0.796508 | − | 0.455131i | 0.0332167 | − | 0.0189803i | ||||
\(576\) | 0.866025 | + | 0.500000i | 0.0360844 | + | 0.0208333i | ||||
\(577\) | 12.9781 | 0.540287 | 0.270144 | − | 0.962820i | \(-0.412929\pi\) | ||||
0.270144 | + | 0.962820i | \(0.412929\pi\) | |||||||
\(578\) | −0.765102 | − | 0.441732i | −0.0318240 | − | 0.0183736i | ||||
\(579\) | −0.571737 | − | 2.13375i | −0.0237606 | − | 0.0886757i | ||||
\(580\) | 6.23232 | − | 14.9516i | 0.258783 | − | 0.620831i | ||||
\(581\) | −1.25532 | + | 2.17428i | −0.0520796 | + | 0.0902045i | ||||
\(582\) | −6.07899 | − | 1.62886i | −0.251982 | − | 0.0675185i | ||||
\(583\) | −1.51899 | − | 2.63097i | −0.0629103 | − | 0.108964i | ||||
\(584\) | −2.40525 | −0.0995298 | ||||||||
\(585\) | −3.19516 | + | 7.40209i | −0.132104 | + | 0.306039i | ||||
\(586\) | −5.82718 | −0.240718 | ||||||||
\(587\) | 20.9109 | + | 36.2188i | 0.863086 | + | 1.49491i | 0.868935 | + | 0.494926i | \(0.164805\pi\) |
−0.00584852 | + | 0.999983i | \(0.501862\pi\) | |||||||
\(588\) | −6.50060 | − | 1.74183i | −0.268080 | − | 0.0718319i | ||||
\(589\) | 0.122299 | − | 0.211829i | 0.00503925 | − | 0.00872824i | ||||
\(590\) | 10.4792 | − | 4.31323i | 0.431422 | − | 0.177573i | ||||
\(591\) | 3.14199 | + | 11.7261i | 0.129244 | + | 0.482346i | ||||
\(592\) | 0.195463 | + | 0.112851i | 0.00803348 | + | 0.00463813i | ||||
\(593\) | 6.42791 | 0.263963 | 0.131981 | − | 0.991252i | \(-0.457866\pi\) | ||||
0.131981 | + | 0.991252i | \(0.457866\pi\) | |||||||
\(594\) | −0.744548 | − | 0.429865i | −0.0305492 | − | 0.0176376i | ||||
\(595\) | −3.00032 | + | 3.89206i | −0.123001 | + | 0.159559i | ||||
\(596\) | −1.07617 | + | 4.01632i | −0.0440816 | + | 0.164515i | ||||
\(597\) | 2.88224 | − | 2.88224i | 0.117962 | − | 0.117962i | ||||
\(598\) | 0.461856 | + | 0.473608i | 0.0188867 | + | 0.0193673i | ||||
\(599\) | 17.8641i | 0.729906i | 0.931026 | + | 0.364953i | \(0.118915\pi\) | ||||
−0.931026 | + | 0.364953i | \(0.881085\pi\) | |||||||
\(600\) | 2.48063 | + | 4.34125i | 0.101271 | + | 0.177231i | ||||
\(601\) | −16.6635 | − | 28.8620i | −0.679717 | − | 1.17730i | −0.975066 | − | 0.221914i | \(-0.928769\pi\) |
0.295349 | − | 0.955389i | \(-0.404564\pi\) | |||||||
\(602\) | 0.645118 | + | 2.40761i | 0.0262930 | + | 0.0981270i | ||||
\(603\) | − | 13.7140i | − | 0.558476i | ||||||
\(604\) | −3.81656 | + | 1.02264i | −0.155293 | + | 0.0416108i | ||||
\(605\) | 13.9267 | + | 18.2339i | 0.566201 | + | 0.741312i | ||||
\(606\) | −3.58504 | − | 3.58504i | −0.145632 | − | 0.145632i | ||||
\(607\) | −16.3187 | + | 4.37259i | −0.662357 | + | 0.177478i | −0.574309 | − | 0.818638i | \(-0.694729\pi\) |
−0.0880472 | + | 0.996116i | \(0.528063\pi\) | |||||||
\(608\) | 0.0144409 | − | 0.0538940i | 0.000585654 | − | 0.00218569i | ||||
\(609\) | 3.63649 | + | 0.974394i | 0.147358 | + | 0.0394844i | ||||
\(610\) | 29.7939 | + | 12.4191i | 1.20632 | + | 0.502835i | ||||
\(611\) | −17.4145 | + | 9.76467i | −0.704515 | + | 0.395036i | ||||
\(612\) | −2.99027 | − | 2.99027i | −0.120875 | − | 0.120875i | ||||
\(613\) | −34.3825 | + | 19.8507i | −1.38869 | + | 0.801763i | −0.993168 | − | 0.116692i | \(-0.962771\pi\) |
−0.395526 | + | 0.918455i | \(0.629438\pi\) | |||||||
\(614\) | −3.92039 | + | 2.26344i | −0.158214 | + | 0.0913450i | ||||
\(615\) | 0.0394194 | + | 0.0516107i | 0.00158954 | + | 0.00208114i | ||||
\(616\) | −0.315933 | + | 0.315933i | −0.0127293 | + | 0.0127293i | ||||
\(617\) | 11.6945 | − | 20.2554i | 0.470802 | − | 0.815453i | −0.528640 | − | 0.848846i | \(-0.677298\pi\) |
0.999442 | + | 0.0333930i | \(0.0106313\pi\) | |||||||
\(618\) | 4.20904 | − | 7.29027i | 0.169312 | − | 0.293258i | ||||
\(619\) | −9.00079 | + | 9.00079i | −0.361772 | + | 0.361772i | −0.864465 | − | 0.502693i | \(-0.832343\pi\) |
0.502693 | + | 0.864465i | \(0.332343\pi\) | |||||||
\(620\) | −1.30121 | + | 9.71588i | −0.0522578 | + | 0.390199i | ||||
\(621\) | −0.158893 | + | 0.0917371i | −0.00637617 | + | 0.00368128i | ||||
\(622\) | 23.9343 | − | 13.8185i | 0.959680 | − | 0.554071i | ||||
\(623\) | −5.67239 | − | 5.67239i | −0.227259 | − | 0.227259i | ||||
\(624\) | −2.58133 | + | 2.51728i | −0.103336 | + | 0.100772i | ||||
\(625\) | −0.223417 | + | 24.9990i | −0.00893670 | + | 0.999960i | ||||
\(626\) | 30.7305 | + | 8.23422i | 1.22824 | + | 0.329106i | ||||
\(627\) | −0.0124152 | + | 0.0463343i | −0.000495817 | + | 0.00185041i | ||||
\(628\) | 12.8271 | − | 3.43702i | 0.511858 | − | 0.137152i | ||||
\(629\) | −0.674908 | − | 0.674908i | −0.0269104 | − | 0.0269104i | ||||
\(630\) | −0.923513 | + | 0.705364i | −0.0367936 | + | 0.0281024i | ||||
\(631\) | −5.22065 | + | 1.39887i | −0.207831 | + | 0.0556881i | −0.361232 | − | 0.932476i | \(-0.617644\pi\) |
0.153401 | + | 0.988164i | \(0.450977\pi\) | |||||||
\(632\) | 16.0201i | 0.637245i | ||||||||
\(633\) | −3.82280 | − | 14.2669i | −0.151943 | − | 0.567058i | ||||
\(634\) | −0.902361 | − | 1.56294i | −0.0358373 | − | 0.0620721i | ||||
\(635\) | −18.4090 | − | 14.1912i | −0.730540 | − | 0.563161i | ||||
\(636\) | − | 3.53365i | − | 0.140118i | ||||||
\(637\) | 12.3955 | − | 20.8601i | 0.491129 | − | 0.826507i | ||||
\(638\) | −4.40390 | + | 4.40390i | −0.174352 | + | 0.174352i | ||||
\(639\) | 1.78083 | − | 6.64614i | 0.0704485 | − | 0.262917i | ||||
\(640\) | 0.286912 | + | 2.21758i | 0.0113412 | + | 0.0876577i | ||||
\(641\) | −7.68152 | − | 4.43492i | −0.303402 | − | 0.175169i | 0.340568 | − | 0.940220i | \(-0.389381\pi\) |
−0.643970 | + | 0.765051i | \(0.722714\pi\) | |||||||
\(642\) | 7.01419 | 0.276828 | ||||||||
\(643\) | 15.2956 | + | 8.83093i | 0.603201 | + | 0.348258i | 0.770300 | − | 0.637682i | \(-0.220107\pi\) |
−0.167099 | + | 0.985940i | \(0.553440\pi\) | |||||||
\(644\) | 0.0246786 | + | 0.0921016i | 0.000972471 | + | 0.00362931i | ||||
\(645\) | −9.89901 | − | 4.12624i | −0.389773 | − | 0.162470i | ||||
\(646\) | −0.117976 | + | 0.204340i | −0.00464169 | + | 0.00803964i | ||||
\(647\) | 42.4705 | + | 11.3799i | 1.66969 | + | 0.447391i | 0.965026 | − | 0.262154i | \(-0.0844329\pi\) |
0.704660 | + | 0.709545i | \(0.251100\pi\) | |||||||
\(648\) | −0.500000 | − | 0.866025i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | −4.35702 | −0.171028 | ||||||||
\(650\) | −17.4904 | + | 4.36870i | −0.686030 | + | 0.171355i | ||||
\(651\) | −2.27827 | −0.0892926 | ||||||||
\(652\) | −11.4085 | − | 19.7602i | −0.446792 | − | 0.773867i | ||||
\(653\) | −22.0209 | − | 5.90050i | −0.861746 | − | 0.230904i | −0.199231 | − | 0.979953i | \(-0.563844\pi\) |
−0.662515 | + | 0.749048i | \(0.730511\pi\) | |||||||
\(654\) | 4.40903 | − | 7.63667i | 0.172407 | − | 0.298617i | ||||
\(655\) | −35.9018 | − | 14.9651i | −1.40280 | − | 0.584733i | ||||
\(656\) | 0.00751694 | + | 0.0280536i | 0.000293487 | + | 0.00109531i | ||||
\(657\) | 2.08300 | + | 1.20262i | 0.0812657 | + | 0.0469188i | ||||
\(658\) | −2.87775 | −0.112186 | ||||||||
\(659\) | −0.951098 | − | 0.549117i | −0.0370495 | − | 0.0213906i | 0.481361 | − | 0.876523i | \(-0.340143\pi\) |
−0.518410 | + | 0.855132i | \(0.673476\pi\) | |||||||
\(660\) | −0.246666 | − | 1.90652i | −0.00960148 | − | 0.0742113i | ||||
\(661\) | −6.39522 | + | 23.8673i | −0.248745 | + | 0.928330i | 0.722719 | + | 0.691142i | \(0.242892\pi\) |
−0.971464 | + | 0.237187i | \(0.923774\pi\) | |||||||
\(662\) | −14.3606 | + | 14.3606i | −0.558142 | + | 0.558142i | ||||
\(663\) | 13.2994 | − | 7.45725i | 0.516506 | − | 0.289616i | ||||
\(664\) | − | 4.83100i | − | 0.187479i | ||||||
\(665\) | 0.0513512 | + | 0.0395857i | 0.00199131 | + | 0.00153507i | ||||
\(666\) | −0.112851 | − | 0.195463i | −0.00437287 | − | 0.00757404i | ||||
\(667\) | 0.344002 | + | 1.28383i | 0.0133198 | + | 0.0497102i | ||||
\(668\) | 13.3160i | 0.515211i | ||||||||
\(669\) | −3.07128 | + | 0.822948i | −0.118743 | + | 0.0318170i | ||||
\(670\) | 24.3701 | − | 18.6135i | 0.941499 | − | 0.719101i | ||||
\(671\) | −8.77561 | − | 8.77561i | −0.338779 | − | 0.338779i | ||||
\(672\) | −0.501987 | + | 0.134507i | −0.0193646 | + | 0.00518872i | ||||
\(673\) | 1.94265 | − | 7.25006i | 0.0748836 | − | 0.279469i | −0.918323 | − | 0.395831i | \(-0.870457\pi\) |
0.993207 | + | 0.116362i | \(0.0371232\pi\) | |||||||
\(674\) | −21.8897 | − | 5.86533i | −0.843160 | − | 0.225924i | ||||
\(675\) | 0.0223420 | − | 4.99995i | 0.000859943 | − | 0.192448i | ||||
\(676\) | −6.21512 | − | 11.4181i | −0.239043 | − | 0.439156i | ||||
\(677\) | −29.5301 | − | 29.5301i | −1.13493 | − | 1.13493i | −0.989345 | − | 0.145589i | \(-0.953492\pi\) |
−0.145589 | − | 0.989345i | \(-0.546508\pi\) | |||||||
\(678\) | 5.06419 | − | 2.92381i | 0.194489 | − | 0.112288i | ||||
\(679\) | 2.83248 | − | 1.63533i | 0.108701 | − | 0.0627583i | ||||
\(680\) | 1.25521 | − | 9.37239i | 0.0481350 | − | 0.359415i | ||||
\(681\) | −20.4820 | + | 20.4820i | −0.784871 | + | 0.784871i | ||||
\(682\) | 1.88447 | − | 3.26400i | 0.0721601 | − | 0.124985i | ||||
\(683\) | −11.3030 | + | 19.5774i | −0.432499 | + | 0.749110i | −0.997088 | − | 0.0762622i | \(-0.975701\pi\) |
0.564589 | + | 0.825372i | \(0.309035\pi\) | |||||||
\(684\) | −0.0394531 | + | 0.0394531i | −0.00150853 | + | 0.00150853i | ||||
\(685\) | 12.3335 | + | 16.1479i | 0.471238 | + | 0.616978i | ||||
\(686\) | 6.17941 | − | 3.56768i | 0.235931 | − | 0.136215i | ||||
\(687\) | 10.4513 | − | 6.03405i | 0.398741 | − | 0.230213i | ||||
\(688\) | −3.39140 | − | 3.39140i | −0.129296 | − | 0.129296i | ||||
\(689\) | 12.2642 | + | 3.45189i | 0.467230 | + | 0.131506i | ||||
\(690\) | −0.378680 | − | 0.157846i | −0.0144161 | − | 0.00600911i | ||||
\(691\) | 18.9019 | + | 5.06476i | 0.719063 | + | 0.192672i | 0.599754 | − | 0.800185i | \(-0.295265\pi\) |
0.119310 | + | 0.992857i | \(0.461932\pi\) | |||||||
\(692\) | 4.99132 | − | 18.6279i | 0.189742 | − | 0.708126i | ||||
\(693\) | 0.431573 | − | 0.115640i | 0.0163941 | − | 0.00439279i | ||||
\(694\) | −25.5041 | − | 25.5041i | −0.968124 | − | 0.968124i | ||||
\(695\) | 3.66288 | + | 4.79571i | 0.138941 | + | 0.181912i | ||||
\(696\) | −6.99735 | + | 1.87494i | −0.265234 | + | 0.0710692i | ||||
\(697\) | − | 0.122821i | − | 0.00465216i | ||||||
\(698\) | −0.942042 | − | 3.51575i | −0.0356568 | − | 0.133073i | ||||
\(699\) | −5.03155 | − | 8.71490i | −0.190311 | − | 0.329628i | ||||
\(700\) | −2.50690 | − | 0.683743i | −0.0947520 | − | 0.0258431i | ||||
\(701\) | − | 29.4470i | − | 1.11220i | −0.831116 | − | 0.556098i | \(-0.812298\pi\) | ||
0.831116 | − | 0.556098i | \(-0.187702\pi\) | |||||||
\(702\) | 3.49414 | − | 0.889363i | 0.131878 | − | 0.0335668i | ||||
\(703\) | −0.00890462 | + | 0.00890462i | −0.000335844 | + | 0.000335844i | ||||
\(704\) | 0.222514 | − | 0.830435i | 0.00838633 | − | 0.0312982i | ||||
\(705\) | 7.55959 | − | 9.80640i | 0.284710 | − | 0.369330i | ||||
\(706\) | 24.5055 | + | 14.1482i | 0.922275 | + | 0.532476i | ||||
\(707\) | 2.63486 | 0.0990941 | ||||||||
\(708\) | −4.38892 | − | 2.53395i | −0.164946 | − | 0.0952315i | ||||
\(709\) | −10.6145 | − | 39.6139i | −0.398636 | − | 1.48773i | −0.815497 | − | 0.578761i | \(-0.803537\pi\) |
0.416861 | − | 0.908970i | \(-0.363130\pi\) | |||||||
\(710\) | 14.2274 | − | 5.85599i | 0.533946 | − | 0.219771i | ||||
\(711\) | 8.01005 | − | 13.8738i | 0.300400 | − | 0.520308i | ||||
\(712\) | 14.9100 | + | 3.99511i | 0.558774 | + | 0.149723i | ||||
\(713\) | −0.402163 | − | 0.696567i | −0.0150611 | − | 0.0260866i | ||||
\(714\) | 2.19773 | 0.0822480 | ||||||||
\(715\) | 6.85793 | + | 1.00630i | 0.256472 | + | 0.0376336i | ||||
\(716\) | 20.2761 | 0.757754 | ||||||||
\(717\) | −11.1048 | − | 19.2341i | −0.414717 | − | 0.718310i | ||||
\(718\) | 6.51252 | + | 1.74502i | 0.243045 | + | 0.0651237i | ||||
\(719\) | −15.8538 | + | 27.4596i | −0.591246 | + | 1.02407i | 0.402819 | + | 0.915280i | \(0.368031\pi\) |
−0.994065 | + | 0.108789i | \(0.965303\pi\) | |||||||
\(720\) | 0.860320 | − | 2.06394i | 0.0320622 | − | 0.0769185i | ||||
\(721\) | 1.13229 | + | 4.22576i | 0.0421687 | + | 0.157376i | ||||
\(722\) | −16.4518 | − | 9.49844i | −0.612272 | − | 0.353495i | ||||
\(723\) | −25.0210 | −0.930540 | ||||||||
\(724\) | 12.3948 | + | 7.15615i | 0.460649 | + | 0.265956i | ||||
\(725\) | −34.9445 | − | 9.53092i | −1.29781 | − | 0.353969i | ||||
\(726\) | 2.65571 | − | 9.91123i | 0.0985625 | − | 0.367840i | ||||
\(727\) | −13.5130 | + | 13.5130i | −0.501169 | + | 0.501169i | −0.911801 | − | 0.410632i | \(-0.865308\pi\) |
0.410632 | + | 0.911801i | \(0.365308\pi\) | |||||||
\(728\) | 0.0235380 | − | 1.87364i | 0.000872377 | − | 0.0694417i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | 0.690093 | + | 5.33384i | 0.0255415 | + | 0.197414i | ||||
\(731\) | 10.1412 | + | 17.5651i | 0.375087 | + | 0.649669i | ||||
\(732\) | −3.73617 | − | 13.9436i | −0.138093 | − | 0.515369i | ||||
\(733\) | 10.4942i | 0.387612i | 0.981040 | + | 0.193806i | \(0.0620833\pi\) | ||||
−0.981040 | + | 0.193806i | \(0.937917\pi\) | |||||||
\(734\) | −30.0541 | + | 8.05298i | −1.10932 | + | 0.297241i | ||||
\(735\) | −1.99756 | + | 14.9154i | −0.0736811 | + | 0.550162i | ||||
\(736\) | −0.129736 | − | 0.129736i | −0.00478213 | − | 0.00478213i | ||||
\(737\) | −11.3886 | + | 3.05155i | −0.419503 | + | 0.112405i | ||||
\(738\) | 0.00751694 | − | 0.0280536i | 0.000276703 | − | 0.00103267i | ||||
\(739\) | −10.6866 | − | 2.86346i | −0.393112 | − | 0.105334i | 0.0568477 | − | 0.998383i | \(-0.481895\pi\) |
−0.449960 | + | 0.893049i | \(0.648562\pi\) | |||||||
\(740\) | 0.194175 | − | 0.465834i | 0.00713802 | − | 0.0171244i | ||||
\(741\) | −0.0983897 | − | 0.175470i | −0.00361444 | − | 0.00644606i | ||||
\(742\) | 1.29855 | + | 1.29855i | 0.0476711 | + | 0.0476711i | ||||
\(743\) | 31.4823 | − | 18.1763i | 1.15498 | − | 0.666825i | 0.204881 | − | 0.978787i | \(-0.434319\pi\) |
0.950095 | + | 0.311962i | \(0.100986\pi\) | |||||||
\(744\) | 3.79654 | − | 2.19193i | 0.139188 | − | 0.0803602i | ||||
\(745\) | 9.21528 | + | 1.23417i | 0.337622 | + | 0.0452164i | ||||
\(746\) | 15.9587 | − | 15.9587i | 0.584291 | − | 0.584291i | ||||
\(747\) | −2.41550 | + | 4.18377i | −0.0883785 | + | 0.153076i | ||||
\(748\) | −1.81785 | + | 3.14861i | −0.0664671 | + | 0.115124i | ||||
\(749\) | −2.57757 | + | 2.57757i | −0.0941824 | + | 0.0941824i | ||||
\(750\) | 8.91538 | − | 6.74656i | 0.325544 | − | 0.246349i | ||||
\(751\) | −42.3079 | + | 24.4265i | −1.54384 | + | 0.891335i | −0.545246 | + | 0.838276i | \(0.683564\pi\) |
−0.998591 | + | 0.0530591i | \(0.983103\pi\) | |||||||
\(752\) | 4.79551 | − | 2.76869i | 0.174874 | − | 0.100964i | ||||
\(753\) | 19.3555 | + | 19.3555i | 0.705354 | + | 0.705354i | ||||
\(754\) | 0.328104 | − | 26.1172i | 0.0119488 | − | 0.951134i | ||||
\(755\) | 3.36281 | + | 8.17013i | 0.122385 | + | 0.297341i | ||||
\(756\) | 0.501987 | + | 0.134507i | 0.0182571 | + | 0.00489197i | ||||
\(757\) | 6.98099 | − | 26.0534i | 0.253728 | − | 0.946927i | −0.715065 | − | 0.699058i | \(-0.753603\pi\) |
0.968794 | − | 0.247869i | \(-0.0797303\pi\) | |||||||
\(758\) | −14.3728 | + | 3.85119i | −0.522045 | + | 0.139881i | ||||
\(759\) | 0.111538 | + | 0.111538i | 0.00404857 | + | 0.00404857i | ||||
\(760\) | −0.123658 | − | 0.0165610i | −0.00448554 | − | 0.000600730i | ||||
\(761\) | −21.6967 | + | 5.81362i | −0.786505 | + | 0.210743i | −0.629651 | − | 0.776878i | \(-0.716802\pi\) |
−0.156855 | + | 0.987622i | \(0.550135\pi\) | |||||||
\(762\) | 10.3950i | 0.376572i | ||||||||
\(763\) | 1.18609 | + | 4.42655i | 0.0429394 | + | 0.160252i | ||||
\(764\) | −6.39485 | − | 11.0762i | −0.231358 | − | 0.400723i | ||||
\(765\) | −5.77324 | + | 7.48913i | −0.208732 | + | 0.270770i | ||||
\(766\) | − | 11.3636i | − | 0.410583i | ||||||
\(767\) | 13.0819 | − | 12.7573i | 0.472361 | − | 0.460640i | ||||
\(768\) | 0.707107 | − | 0.707107i | 0.0255155 | − | 0.0255155i | ||||
\(769\) | −3.23891 | + | 12.0878i | −0.116798 | + | 0.435897i | −0.999415 | − | 0.0341962i | \(-0.989113\pi\) |
0.882617 | + | 0.470093i | \(0.155780\pi\) | |||||||
\(770\) | 0.791254 | + | 0.609964i | 0.0285148 | + | 0.0219816i | ||||
\(771\) | 0.224083 | + | 0.129375i | 0.00807017 | + | 0.00465931i | ||||
\(772\) | −2.20902 | −0.0795045 | ||||||||
\(773\) | −17.7829 | − | 10.2670i | −0.639607 | − | 0.369278i | 0.144856 | − | 0.989453i | \(-0.453728\pi\) |
−0.784463 | + | 0.620175i | \(0.787061\pi\) | |||||||
\(774\) | 1.24134 | + | 4.63274i | 0.0446190 | + | 0.166520i | ||||
\(775\) | 21.9191 | + | 0.0979442i | 0.787358 | + | 0.00351826i | ||||
\(776\) | −3.14672 | + | 5.45027i | −0.112961 | + | 0.195653i | ||||
\(777\) | 0.113299 | + | 0.0303584i | 0.00406458 | + | 0.00108910i | ||||
\(778\) | 0.391567 | + | 0.678214i | 0.0140384 | + | 0.0243151i | ||||
\(779\) | −0.00162047 | −5.80594e−5 | ||||||||
\(780\) | 6.32290 | + | 5.00209i | 0.226396 | + | 0.179104i | ||||
\(781\) | −5.91545 | −0.211671 | ||||||||
\(782\) | 0.387946 | + | 0.671942i | 0.0138729 | + | 0.0240286i | ||||
\(783\) | 6.99735 | + | 1.87494i | 0.250065 | + | 0.0670047i | ||||
\(784\) | −3.36496 | + | 5.82828i | −0.120177 | + | 0.208153i | ||||
\(785\) | −11.3021 | − | 27.4591i | −0.403391 | − | 0.980059i | ||||
\(786\) | 4.50210 | + | 16.8021i | 0.160584 | + | 0.599309i | ||||
\(787\) | 22.0630 | + | 12.7381i | 0.786462 | + | 0.454064i | 0.838716 | − | 0.544570i | \(-0.183307\pi\) |
−0.0522536 | + | 0.998634i | \(0.516640\pi\) | |||||||
\(788\) | 12.1397 | 0.432460 | ||||||||
\(789\) | −5.38327 | − | 3.10803i | −0.191649 | − | 0.110649i | ||||
\(790\) | 35.5259 | − | 4.59635i | 1.26396 | − | 0.163531i | ||||
\(791\) | −0.786546 | + | 2.93543i | −0.0279664 | + | 0.104372i | ||||
\(792\) | −0.607921 | + | 0.607921i | −0.0216015 | + | 0.0216015i | ||||
\(793\) | 52.0437 | + | 0.653810i | 1.84812 | + | 0.0232175i | ||||
\(794\) | − | 14.2414i | − | 0.505409i | ||||||
\(795\) | −7.83617 | + | 1.01385i | −0.277920 | + | 0.0359574i | ||||
\(796\) | −2.03805 | − | 3.53001i | −0.0722368 | − | 0.125118i | ||||
\(797\) | −5.98910 | − | 22.3516i | −0.212145 | − | 0.791735i | −0.987152 | − | 0.159783i | \(-0.948921\pi\) |
0.775008 | − | 0.631952i | \(-0.217746\pi\) | |||||||
\(798\) | − | 0.0289965i | − | 0.00102646i | ||||||
\(799\) | −22.6190 | + | 6.06075i | −0.800203 | + | 0.214414i | ||||
\(800\) | 4.83536 | − | 1.27250i | 0.170956 | − | 0.0449897i | ||||
\(801\) | −10.9148 | − | 10.9148i | −0.385657 | − | 0.385657i | ||||
\(802\) | −30.1857 | + | 8.08823i | −1.06589 | + | 0.285605i | ||||
\(803\) | 0.535202 | − | 1.99740i | 0.0188869 | − | 0.0704868i | ||||
\(804\) | −13.2467 | − | 3.54943i | −0.467174 | − | 0.125179i | ||||
\(805\) | 0.197163 | − | 0.0811518i | 0.00694907 | − | 0.00286023i | ||||
\(806\) | 3.89885 | + | 15.3179i | 0.137331 | + | 0.539548i | ||||
\(807\) | −0.276145 | − | 0.276145i | −0.00972077 | − | 0.00972077i | ||||
\(808\) | −4.39076 | + | 2.53501i | −0.154466 | + | 0.0891812i | ||||
\(809\) | 20.3578 | − | 11.7536i | 0.715742 | − | 0.413234i | −0.0974414 | − | 0.995241i | \(-0.531066\pi\) |
0.813184 | + | 0.582007i | \(0.197733\pi\) | |||||||
\(810\) | −1.77703 | + | 1.35727i | −0.0624384 | + | 0.0476894i | ||||
\(811\) | −18.5083 | + | 18.5083i | −0.649915 | + | 0.649915i | −0.952972 | − | 0.303057i | \(-0.901993\pi\) |
0.303057 | + | 0.952972i | \(0.401993\pi\) | |||||||
\(812\) | 1.88239 | − | 3.26039i | 0.0660588 | − | 0.114417i | ||||
\(813\) | 8.44068 | − | 14.6197i | 0.296028 | − | 0.512735i | ||||
\(814\) | −0.137208 | + | 0.137208i | −0.00480915 | + | 0.00480915i | ||||
\(815\) | −40.5466 | + | 30.9688i | −1.42028 | + | 1.08479i | ||||
\(816\) | −3.66232 | + | 2.11444i | −0.128207 | + | 0.0740203i | ||||
\(817\) | 0.231751 | − | 0.133801i | 0.00810794 | − | 0.00468112i | ||||
\(818\) | 23.8454 | + | 23.8454i | 0.833736 | + | 0.833736i | ||||
\(819\) | −0.957204 | + | 1.61085i | −0.0334474 | + | 0.0562876i | ||||
\(820\) | 0.0600546 | − | 0.0247184i | 0.00209720 | − | 0.000863203i | ||||
\(821\) | 49.9927 | + | 13.3955i | 1.74476 | + | 0.467506i | 0.983495 | − | 0.180938i | \(-0.0579132\pi\) |
0.761263 | + | 0.648444i | \(0.224580\pi\) | |||||||
\(822\) | 2.35189 | − | 8.77737i | 0.0820316 | − | 0.306146i | ||||
\(823\) | −28.2305 | + | 7.56435i | −0.984054 | + | 0.263677i | −0.714751 | − | 0.699379i | \(-0.753460\pi\) |
−0.269303 | + | 0.963055i | \(0.586793\pi\) | |||||||
\(824\) | −5.95248 | − | 5.95248i | −0.207364 | − | 0.207364i | ||||
\(825\) | −4.15711 | + | 1.09401i | −0.144732 | + | 0.0380885i | ||||
\(826\) | 2.54402 | − | 0.681667i | 0.0885176 | − | 0.0237182i | ||||
\(827\) | − | 8.43549i | − | 0.293331i | −0.989186 | − | 0.146665i | \(-0.953146\pi\) | ||
0.989186 | − | 0.146665i | \(-0.0468540\pi\) | |||||||
\(828\) | 0.0474866 | + | 0.177222i | 0.00165027 | + | 0.00615891i | ||||
\(829\) | −10.4506 | − | 18.1010i | −0.362965 | − | 0.628674i | 0.625482 | − | 0.780238i | \(-0.284902\pi\) |
−0.988447 | + | 0.151564i | \(0.951569\pi\) | |||||||
\(830\) | −10.7132 | + | 1.38607i | −0.371859 | + | 0.0481112i | ||||
\(831\) | 1.05697i | 0.0366657i | ||||||||
\(832\) | 1.76341 | + | 3.14490i | 0.0611352 | + | 0.109030i | ||||
\(833\) | 20.1243 | − | 20.1243i | 0.697265 | − | 0.697265i | ||||
\(834\) | 0.698481 | − | 2.60677i | 0.0241864 | − | 0.0902650i | ||||
\(835\) | 29.5293 | − | 3.82051i | 1.02191 | − | 0.132214i | ||||
\(836\) | 0.0415422 | + | 0.0239844i | 0.00143677 | + | 0.000829517i | ||||
\(837\) | −4.38387 | −0.151529 | ||||||||
\(838\) | 9.64226 | + | 5.56696i | 0.333086 | + | 0.192307i | ||||
\(839\) | −8.60452 | − | 32.1125i | −0.297061 | − | 1.10865i | −0.939567 | − | 0.342366i | \(-0.888772\pi\) |
0.642505 | − | 0.766281i | \(-0.277895\pi\) | |||||||
\(840\) | 0.442306 | + | 1.07461i | 0.0152610 | + | 0.0370774i | ||||
\(841\) | 11.7392 | − | 20.3328i | 0.404799 | − | 0.701132i | ||||
\(842\) | 28.1829 | + | 7.55160i | 0.971248 | + | 0.260245i | ||||
\(843\) | −6.78681 | − | 11.7551i | −0.233750 | − | 0.404867i | ||||
\(844\) | −14.7702 | −0.508411 | ||||||||
\(845\) | −23.5373 | + | 17.0585i | −0.809709 | + | 0.586831i | ||||
\(846\) | −5.53738 | −0.190379 | ||||||||
\(847\) | 2.66626 | + | 4.61810i | 0.0916138 | + | 0.158680i | ||||
\(848\) | −3.41325 | − | 0.914577i | −0.117211 | − | 0.0314067i | ||||
\(849\) | −4.80305 | + | 8.31913i | −0.164840 | + | 0.285512i | ||||
\(850\) | −21.1442 | − | 0.0944816i | −0.725240 | − | 0.00324069i | ||||
\(851\) | 0.0107178 | + | 0.0399993i | 0.000367401 | + | 0.00137116i | ||||
\(852\) | −5.95877 | − | 3.44030i | −0.204144 | − | 0.117863i | ||||
\(853\) | −12.3935 | −0.424344 | −0.212172 | − | 0.977232i | \(-0.568054\pi\) | ||||
−0.212172 | + | 0.977232i | \(0.568054\pi\) | |||||||
\(854\) | 6.49695 | + | 3.75102i | 0.222321 | + | 0.128357i | ||||
\(855\) | 0.0988102 | + | 0.0761711i | 0.00337924 | + | 0.00260500i | ||||
\(856\) | 1.81541 | − | 6.77519i | 0.0620493 | − | 0.231571i | ||||
\(857\) | −11.9224 | + | 11.9224i | −0.407262 | + | 0.407262i | −0.880783 | − | 0.473520i | \(-0.842983\pi\) |
0.473520 | + | 0.880783i | \(0.342983\pi\) | |||||||
\(858\) | −1.51606 | − | 2.70376i | −0.0517573 | − | 0.0923050i | ||||
\(859\) | − | 37.7546i | − | 1.28817i | −0.764954 | − | 0.644085i | \(-0.777238\pi\) | ||
0.764954 | − | 0.644085i | \(-0.222762\pi\) | |||||||
\(860\) | −6.54769 | + | 8.49376i | −0.223274 | + | 0.289635i | ||||
\(861\) | 0.00754681 | + | 0.0130715i | 0.000257195 | + | 0.000445474i | ||||
\(862\) | 4.51975 | + | 16.8679i | 0.153943 | + | 0.574524i | ||||
\(863\) | 34.7009i | 1.18123i | 0.806953 | + | 0.590615i | \(0.201115\pi\) | ||||
−0.806953 | + | 0.590615i | \(0.798885\pi\) | |||||||
\(864\) | −0.965926 | + | 0.258819i | −0.0328615 | + | 0.00880520i | ||||
\(865\) | −42.7410 | − | 5.72413i | −1.45324 | − | 0.194626i | ||||
\(866\) | −1.57183 | − | 1.57183i | −0.0534131 | − | 0.0534131i | ||||
\(867\) | 0.853360 | − | 0.228657i | 0.0289816 | − | 0.00776560i | ||||
\(868\) | −0.589661 | + | 2.20064i | −0.0200144 | + | 0.0746947i | ||||
\(869\) | −13.3037 | − | 3.56470i | −0.451295 | − | 0.120924i | ||||
\(870\) | 6.16545 | + | 14.9793i | 0.209028 | + | 0.507845i | ||||
\(871\) | 25.2592 | − | 42.5079i | 0.855874 | − | 1.44032i | ||||
\(872\) | −6.23531 | − | 6.23531i | −0.211154 | − | 0.211154i | ||||
\(873\) | 5.45027 | − | 3.14672i | 0.184464 | − | 0.106500i | ||||
\(874\) | 0.00886548 | − | 0.00511849i | 0.000299879 | − | 0.000173135i | ||||
\(875\) | −0.796999 | + | 5.75544i | −0.0269435 | + | 0.194570i | ||||
\(876\) | 1.70077 | − | 1.70077i | 0.0574636 | − | 0.0574636i | ||||
\(877\) | −15.4110 | + | 26.6926i | −0.520391 | + | 0.901344i | 0.479328 | + | 0.877636i | \(0.340880\pi\) |
−0.999719 | + | 0.0237079i | \(0.992453\pi\) | |||||||
\(878\) | 18.9701 | − | 32.8571i | 0.640209 | − | 1.10887i | ||||
\(879\) | 4.12044 | − | 4.12044i | 0.138979 | − | 0.138979i | ||||
\(880\) | −1.90540 | − | 0.255183i | −0.0642311 | − | 0.00860222i | ||||
\(881\) | 24.9249 | − | 14.3904i | 0.839740 | − | 0.484824i | −0.0174360 | − | 0.999848i | \(-0.505550\pi\) |
0.857176 | + | 0.515024i | \(0.172217\pi\) | |||||||
\(882\) | 5.82828 | − | 3.36496i | 0.196248 | − | 0.113304i | ||||
\(883\) | −12.4407 | − | 12.4407i | −0.418662 | − | 0.418662i | 0.466080 | − | 0.884742i | \(-0.345666\pi\) |
−0.884742 | + | 0.466080i | \(0.845666\pi\) | |||||||
\(884\) | −3.76101 | − | 14.7763i | −0.126497 | − | 0.496982i | ||||
\(885\) | −4.36001 | + | 10.4598i | −0.146560 | + | 0.351603i | ||||
\(886\) | 21.1654 | + | 5.67125i | 0.711065 | + | 0.190529i | ||||
\(887\) | 9.95096 | − | 37.1375i | 0.334121 | − | 1.24695i | −0.570699 | − | 0.821159i | \(-0.693328\pi\) |
0.904819 | − | 0.425796i | \(-0.140006\pi\) | |||||||
\(888\) | −0.218011 | + | 0.0584158i | −0.00731596 | + | 0.00196031i | ||||
\(889\) | −3.81996 | − | 3.81996i | −0.128117 | − | 0.128117i | ||||
\(890\) | 4.58166 | − | 34.2103i | 0.153577 | − | 1.14673i | ||||
\(891\) | 0.830435 | − | 0.222514i | 0.0278206 | − | 0.00745451i | ||||
\(892\) | 3.17963i | 0.106462i | ||||||||
\(893\) | 0.0799645 | + | 0.298431i | 0.00267591 | + | 0.00998663i | ||||
\(894\) | −2.07900 | − | 3.60093i | −0.0695321 | − | 0.120433i | ||||
\(895\) | −5.81745 | − | 44.9640i | −0.194456 | − | 1.50298i | ||||
\(896\) | 0.519695i | 0.0173618i | ||||||||
\(897\) | −0.661473 | − | 0.00830991i | −0.0220860 | − | 0.000277460i | ||||
\(898\) | −11.1962 | + | 11.1962i | −0.373623 | + | 0.373623i | ||||
\(899\) | −8.21947 | + | 30.6755i | −0.274135 | + | 1.02308i | ||||
\(900\) | −4.82380 | − | 1.31566i | −0.160793 | − | 0.0438554i | ||||
\(901\) | 12.9414 | + | 7.47171i | 0.431140 | + | 0.248919i | ||||
\(902\) | −0.0249693 | −0.000831388 | ||||||||
\(903\) | −2.15861 | − | 1.24627i | −0.0718339 | − | 0.0414733i | ||||
\(904\) | −1.51348 | − | 5.64837i | −0.0503375 | − | 0.187862i | ||||
\(905\) | 12.3131 | − | 29.5397i | 0.409303 | − | 0.981934i | ||||
\(906\) | 1.97560 | − | 3.42183i | 0.0656348 | − | 0.113683i | ||||
\(907\) | 44.4572 | + | 11.9123i | 1.47618 | + | 0.395540i | 0.905044 | − | 0.425318i | \(-0.139838\pi\) |
0.571132 | + | 0.820858i | \(0.306505\pi\) | |||||||
\(908\) | 14.4830 | + | 25.0852i | 0.480634 | + | 0.832482i | ||||
\(909\) | 5.07001 | 0.168162 | ||||||||
\(910\) | −4.16171 | + | 0.485371i | −0.137959 | + | 0.0160899i | ||||
\(911\) | −34.0825 | −1.12920 | −0.564602 | − | 0.825363i | \(-0.690970\pi\) | ||||
−0.564602 | + | 0.825363i | \(0.690970\pi\) | |||||||
\(912\) | 0.0278976 | + | 0.0483200i | 0.000923781 | + | 0.00160004i | ||||
\(913\) | 4.01183 | + | 1.07497i | 0.132772 | + | 0.0355762i | ||||
\(914\) | 19.5983 | − | 33.9453i | 0.648255 | − | 1.12281i | ||||
\(915\) | −29.8491 | + | 12.2858i | −0.986781 | + | 0.406158i | ||||
\(916\) | −3.12345 | − | 11.6569i | −0.103202 | − | 0.385154i | ||||
\(917\) | −7.82884 | − | 4.51999i | −0.258531 | − | 0.149263i | ||||
\(918\) | 4.22888 | 0.139574 | ||||||||
\(919\) | −6.13874 | − | 3.54420i | −0.202498 | − | 0.116913i | 0.395322 | − | 0.918543i | \(-0.370633\pi\) |
−0.597820 | + | 0.801630i | \(0.703966\pi\) | |||||||
\(920\) | −0.250478 | + | 0.324923i | −0.00825800 | + | 0.0107124i | ||||
\(921\) | 1.17164 | − | 4.37263i | 0.0386070 | − | 0.144083i | ||||
\(922\) | 7.43657 | − | 7.43657i | 0.244910 | − | 0.244910i | ||||
\(923\) | 17.7611 | − | 17.3204i | 0.584614 | − | 0.570108i | ||||
\(924\) | − | 0.446797i | − | 0.0146985i | ||||||
\(925\) | −1.08874 | − | 0.296947i | −0.0357975 | − | 0.00976355i | ||||
\(926\) | −15.6632 | − | 27.1295i | −0.514726 | − | 0.891531i | ||||
\(927\) | 2.17876 | + | 8.13124i | 0.0715598 | + | 0.267065i | ||||
\(928\) | 7.24419i | 0.237802i | ||||||||
\(929\) | −23.6705 | + | 6.34249i | −0.776604 | + | 0.208090i | −0.625287 | − | 0.780395i | \(-0.715018\pi\) |
−0.151317 | + | 0.988485i | \(0.548351\pi\) | |||||||
\(930\) | −5.95007 | − | 7.79026i | −0.195110 | − | 0.255453i | ||||
\(931\) | −0.265516 | − | 0.265516i | −0.00870195 | − | 0.00870195i | ||||
\(932\) | −9.72020 | + | 2.60452i | −0.318396 | + | 0.0853139i | ||||
\(933\) | −7.15298 | + | 26.6953i | −0.234178 | + | 0.873964i | ||||
\(934\) | −23.4317 | − | 6.27849i | −0.766707 | − | 0.205439i | ||||
\(935\) | 7.50386 | + | 3.12786i | 0.245403 | + | 0.102292i | ||||
\(936\) | 0.0452920 | − | 3.60527i | 0.00148041 | − | 0.117842i | ||||
\(937\) | 23.5857 | + | 23.5857i | 0.770510 | + | 0.770510i | 0.978196 | − | 0.207685i | \(-0.0665930\pi\) |
−0.207685 | + | 0.978196i | \(0.566593\pi\) | |||||||
\(938\) | 6.17223 | − | 3.56354i | 0.201530 | − | 0.116354i | ||||
\(939\) | −27.5522 | + | 15.9073i | −0.899133 | + | 0.519115i | ||||
\(940\) | −7.51569 | − | 9.84008i | −0.245135 | − | 0.320948i | ||||
\(941\) | −3.01039 | + | 3.01039i | −0.0981360 | + | 0.0981360i | −0.754470 | − | 0.656334i | \(-0.772106\pi\) |
0.656334 | + | 0.754470i | \(0.272106\pi\) | |||||||
\(942\) | −6.63981 | + | 11.5005i | −0.216337 | + | 0.374706i | ||||
\(943\) | −0.00266434 | + | 0.00461478i | −8.67629e−5 | + | 0.000150278i | ||||
\(944\) | −3.58354 | + | 3.58354i | −0.116634 | + | 0.116634i | ||||
\(945\) | 0.154255 | − | 1.15179i | 0.00501791 | − | 0.0374677i | ||||
\(946\) | 3.57098 | − | 2.06170i | 0.116102 | − | 0.0670318i | ||||
\(947\) | 39.0911 | − | 22.5692i | 1.27029 | − | 0.733402i | 0.295247 | − | 0.955421i | \(-0.404598\pi\) |
0.975042 | + | 0.222020i | \(0.0712649\pi\) | |||||||
\(948\) | −11.3279 | − | 11.3279i | −0.367914 | − | 0.367914i | ||||
\(949\) | 4.24143 | + | 7.56426i | 0.137683 | + | 0.245546i | ||||
\(950\) | −0.00124657 | + | 0.278973i | −4.04442e−5 | + | 0.00905108i | ||||
\(951\) | 1.74323 | + | 0.467097i | 0.0565280 | + | 0.0151466i | ||||
\(952\) | 0.568814 | − | 2.12284i | 0.0184354 | − | 0.0688018i | ||||
\(953\) | 12.2640 | − | 3.28613i | 0.397271 | − | 0.106448i | −0.0546521 | − | 0.998505i | \(-0.517405\pi\) |
0.451923 | + | 0.892057i | \(0.350738\pi\) | |||||||
\(954\) | 2.49867 | + | 2.49867i | 0.0808974 | + | 0.0808974i | ||||
\(955\) | −22.7277 | + | 17.3590i | −0.735450 | + | 0.561725i | ||||
\(956\) | −21.4528 | + | 5.74827i | −0.693835 | + | 0.185912i | ||||
\(957\) | − | 6.22805i | − | 0.201324i | ||||||
\(958\) | 3.00994 | + | 11.2332i | 0.0972467 | + | 0.362930i | ||||
\(959\) | 2.36124 | + | 4.08978i | 0.0762483 | + | 0.132066i | ||||
\(960\) | −1.77095 | − | 1.36519i | −0.0571570 | − | 0.0440614i | ||||
\(961\) | 11.7817i | 0.380055i | ||||||||
\(962\) | 0.0102225 | − | 0.813713i | 0.000329585 | − | 0.0262352i | ||||
\(963\) | −4.95978 | + | 4.95978i | −0.159827 | + | 0.159827i | ||||
\(964\) | −6.47591 | + | 24.1684i | −0.208575 | + | 0.778412i | ||||
\(965\) | 0.633795 | + | 4.89870i | 0.0204026 | + | 0.157695i | ||||
\(966\) | −0.0825761 | − | 0.0476753i | −0.00265684 | − | 0.00153393i | ||||
\(967\) | 27.7803 | 0.893353 | 0.446677 | − | 0.894695i | \(-0.352607\pi\) | ||||
0.446677 | + | 0.894695i | \(0.352607\pi\) | |||||||
\(968\) | −8.88617 | − | 5.13043i | −0.285612 | − | 0.164898i | ||||
\(969\) | −0.0610687 | − | 0.227911i | −0.00196181 | − | 0.00732157i | ||||
\(970\) | 12.9893 | + | 5.41437i | 0.417061 | + | 0.173845i | ||||
\(971\) | −0.0689099 | + | 0.119355i | −0.00221142 | + | 0.00383030i | −0.867129 | − | 0.498084i | \(-0.834037\pi\) |
0.864918 | + | 0.501914i | \(0.167371\pi\) | |||||||
\(972\) | 0.965926 | + | 0.258819i | 0.0309821 | + | 0.00830162i | ||||
\(973\) | 0.701257 | + | 1.21461i | 0.0224813 | + | 0.0389387i | ||||
\(974\) | −9.14019 | −0.292871 | ||||||||
\(975\) | 9.27845 | − | 15.4567i | 0.297148 | − | 0.495011i | ||||
\(976\) | −14.4355 | −0.462068 | ||||||||
\(977\) | −12.6538 | − | 21.9169i | −0.404829 | − | 0.701185i | 0.589472 | − | 0.807789i | \(-0.299336\pi\) |
−0.994302 | + | 0.106604i | \(0.966002\pi\) | |||||||
\(978\) | 22.0396 | + | 5.90549i | 0.704748 | + | 0.188837i | ||||
\(979\) | −6.63536 | + | 11.4928i | −0.212067 | + | 0.367311i | ||||
\(980\) | 13.8901 | + | 5.78988i | 0.443705 | + | 0.184951i | ||||
\(981\) | 2.28228 | + | 8.51759i | 0.0728677 | + | 0.271946i | ||||
\(982\) | −6.88995 | − | 3.97792i | −0.219867 | − | 0.126940i | ||||
\(983\) | 19.2981 | 0.615512 | 0.307756 | − | 0.951465i | \(-0.400422\pi\) | ||||
0.307756 | + | 0.951465i | \(0.400422\pi\) | |||||||
\(984\) | −0.0251522 | − | 0.0145216i | −0.000801822 | − | 0.000462932i | ||||
\(985\) | −3.48303 | − | 26.9209i | −0.110978 | − | 0.857770i | ||||
\(986\) | 7.92888 | − | 29.5910i | 0.252507 | − | 0.942369i | ||||
\(987\) | 2.03487 | − | 2.03487i | 0.0647708 | − | 0.0647708i | ||||
\(988\) | −0.194956 | + | 0.0496222i | −0.00620238 | + | 0.00157869i | ||||
\(989\) | − | 0.879973i | − | 0.0279815i | ||||||
\(990\) | 1.52254 | + | 1.17370i | 0.0483894 | + | 0.0373025i | ||||
\(991\) | 8.95513 | + | 15.5107i | 0.284469 | + | 0.492715i | 0.972480 | − | 0.232985i | \(-0.0748493\pi\) |
−0.688011 | + | 0.725700i | \(0.741516\pi\) | |||||||
\(992\) | −1.13463 | − | 4.23449i | −0.0360245 | − | 0.134445i | ||||
\(993\) | − | 20.3090i | − | 0.644486i | ||||||
\(994\) | 3.45397 | − | 0.925487i | 0.109553 | − | 0.0293547i | ||||
\(995\) | −7.24336 | + | 5.53235i | −0.229630 | + | 0.175387i | ||||
\(996\) | 3.41603 | + | 3.41603i | 0.108241 | + | 0.108241i | ||||
\(997\) | 36.2474 | − | 9.71246i | 1.14797 | − | 0.307597i | 0.365816 | − | 0.930687i | \(-0.380790\pi\) |
0.782150 | + | 0.623090i | \(0.214123\pi\) | |||||||
\(998\) | −8.02635 | + | 29.9548i | −0.254070 | + | 0.948201i | ||||
\(999\) | 0.218011 | + | 0.0584158i | 0.00689755 | + | 0.00184819i |
(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 | 390.2.bn.b.67.2 | yes | 16 | |
5.3 | odd | 4 | 390.2.bd.b.223.3 | yes | 16 | ||
13.7 | odd | 12 | 390.2.bd.b.7.3 | ✓ | 16 | ||
65.33 | even | 12 | inner | 390.2.bn.b.163.2 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
390.2.bd.b.7.3 | ✓ | 16 | 13.7 | odd | 12 | ||
390.2.bd.b.223.3 | yes | 16 | 5.3 | odd | 4 | ||
390.2.bn.b.67.2 | yes | 16 | 1.1 | even | 1 | trivial | |
390.2.bn.b.163.2 | yes | 16 | 65.33 | even | 12 | inner |