Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [63,2,Mod(25,63)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(63, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("63.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 63 = 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 63.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.503057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 10.0.991381711347.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Root | \(-0.335166 + 0.580525i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 63.25 |
Dual form | 63.2.h.b.58.4 |
$q$-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 \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).
\(n\) | \(10\) | \(29\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.670333 | 0.473997 | 0.236998 | − | 0.971510i | \(-0.423836\pi\) | ||||
0.236998 | + | 0.971510i | \(0.423836\pi\) | |||||||
\(3\) | 1.65263 | − | 0.518475i | 0.954146 | − | 0.299342i | ||||
\(4\) | −1.55065 | −0.775327 | ||||||||
\(5\) | −0.712469 | + | 1.23403i | −0.318626 | + | 0.551876i | −0.980202 | − | 0.198002i | \(-0.936555\pi\) |
0.661576 | + | 0.749878i | \(0.269888\pi\) | |||||||
\(6\) | 1.10781 | − | 0.347551i | 0.452262 | − | 0.141887i | ||||
\(7\) | −2.36039 | − | 1.19522i | −0.892144 | − | 0.451750i | ||||
\(8\) | −2.38012 | −0.841499 | ||||||||
\(9\) | 2.46237 | − | 1.71369i | 0.820789 | − | 0.571231i | ||||
\(10\) | −0.477591 | + | 0.827212i | −0.151028 | + | 0.261587i | ||||
\(11\) | 2.46539 | + | 4.27018i | 0.743342 | + | 1.28751i | 0.950965 | + | 0.309297i | \(0.100094\pi\) |
−0.207623 | + | 0.978209i | \(0.566573\pi\) | |||||||
\(12\) | −2.56266 | + | 0.803975i | −0.739775 | + | 0.232088i | ||||
\(13\) | −1.37730 | − | 2.38556i | −0.381995 | − | 0.661635i | 0.609352 | − | 0.792900i | \(-0.291429\pi\) |
−0.991347 | + | 0.131265i | \(0.958096\pi\) | |||||||
\(14\) | −1.58225 | − | 0.801194i | −0.422874 | − | 0.214128i | ||||
\(15\) | −0.537632 | + | 2.40879i | −0.138816 | + | 0.621948i | ||||
\(16\) | 1.50584 | 0.376459 | ||||||||
\(17\) | 0.559839 | − | 0.969670i | 0.135781 | − | 0.235180i | −0.790115 | − | 0.612959i | \(-0.789979\pi\) |
0.925896 | + | 0.377780i | \(0.123312\pi\) | |||||||
\(18\) | 1.65061 | − | 1.14874i | 0.389051 | − | 0.270762i | ||||
\(19\) | −2.00752 | − | 3.47713i | −0.460557 | − | 0.797709i | 0.538431 | − | 0.842669i | \(-0.319017\pi\) |
−0.998989 | + | 0.0449606i | \(0.985684\pi\) | |||||||
\(20\) | 1.10479 | − | 1.91356i | 0.247039 | − | 0.427884i | ||||
\(21\) | −4.52054 | − | 0.751449i | −0.986464 | − | 0.163980i | ||||
\(22\) | 1.65263 | + | 2.86244i | 0.352342 | + | 0.610274i | ||||
\(23\) | −2.71830 | + | 4.70824i | −0.566806 | + | 0.981736i | 0.430073 | + | 0.902794i | \(0.358488\pi\) |
−0.996879 | + | 0.0789424i | \(0.974846\pi\) | |||||||
\(24\) | −3.93346 | + | 1.23403i | −0.802913 | + | 0.251896i | ||||
\(25\) | 1.48478 | + | 2.57171i | 0.296955 | + | 0.514342i | ||||
\(26\) | −0.923251 | − | 1.59912i | −0.181064 | − | 0.313613i | ||||
\(27\) | 3.18087 | − | 4.10878i | 0.612160 | − | 0.790734i | ||||
\(28\) | 3.66015 | + | 1.85337i | 0.691704 | + | 0.350254i | ||||
\(29\) | 3.40555 | − | 5.89858i | 0.632394 | − | 1.09534i | −0.354667 | − | 0.934993i | \(-0.615406\pi\) |
0.987061 | − | 0.160346i | \(-0.0512611\pi\) | |||||||
\(30\) | −0.360392 | + | 1.61469i | −0.0657984 | + | 0.294801i | ||||
\(31\) | 2.50584 | 0.450061 | 0.225031 | − | 0.974352i | \(-0.427752\pi\) | ||||
0.225031 | + | 0.974352i | \(0.427752\pi\) | |||||||
\(32\) | 5.76965 | 1.01994 | ||||||||
\(33\) | 6.28835 | + | 5.77878i | 1.09466 | + | 1.00596i | ||||
\(34\) | 0.375279 | − | 0.650002i | 0.0643597 | − | 0.111474i | ||||
\(35\) | 3.15664 | − | 2.06124i | 0.533570 | − | 0.348414i | ||||
\(36\) | −3.81828 | + | 2.65735i | −0.636380 | + | 0.442891i | ||||
\(37\) | 0.709787 | + | 1.22939i | 0.116688 | + | 0.202110i | 0.918453 | − | 0.395529i | \(-0.129439\pi\) |
−0.801765 | + | 0.597639i | \(0.796106\pi\) | |||||||
\(38\) | −1.34571 | − | 2.33083i | −0.218303 | − | 0.378111i | ||||
\(39\) | −3.51302 | − | 3.22835i | −0.562534 | − | 0.516949i | ||||
\(40\) | 1.69576 | − | 2.93714i | 0.268123 | − | 0.464403i | ||||
\(41\) | 0.124384 | + | 0.215440i | 0.0194256 | + | 0.0336460i | 0.875575 | − | 0.483083i | \(-0.160483\pi\) |
−0.856149 | + | 0.516729i | \(0.827150\pi\) | |||||||
\(42\) | −3.03027 | − | 0.503721i | −0.467581 | − | 0.0777258i | ||||
\(43\) | −0.498313 | + | 0.863104i | −0.0759921 | + | 0.131622i | −0.901517 | − | 0.432743i | \(-0.857546\pi\) |
0.825525 | + | 0.564365i | \(0.190879\pi\) | |||||||
\(44\) | −3.82296 | − | 6.62156i | −0.576333 | − | 0.998238i | ||||
\(45\) | 0.360392 | + | 4.25959i | 0.0537241 | + | 0.634983i | ||||
\(46\) | −1.82217 | + | 3.15609i | −0.268664 | + | 0.465340i | ||||
\(47\) | −9.47579 | −1.38219 | −0.691093 | − | 0.722766i | \(-0.742871\pi\) | ||||
−0.691093 | + | 0.722766i | \(0.742871\pi\) | |||||||
\(48\) | 2.48859 | − | 0.780738i | 0.359197 | − | 0.112690i | ||||
\(49\) | 4.14291 | + | 5.64237i | 0.591844 | + | 0.806053i | ||||
\(50\) | 0.995294 | + | 1.72390i | 0.140756 | + | 0.243796i | ||||
\(51\) | 0.422457 | − | 1.89277i | 0.0591559 | − | 0.265041i | ||||
\(52\) | 2.13572 | + | 3.69917i | 0.296171 | + | 0.512983i | ||||
\(53\) | −0.410229 | + | 0.710537i | −0.0563493 | + | 0.0975998i | −0.892824 | − | 0.450406i | \(-0.851279\pi\) |
0.836475 | + | 0.548005i | \(0.184613\pi\) | |||||||
\(54\) | 2.13224 | − | 2.75425i | 0.290162 | − | 0.374805i | ||||
\(55\) | −7.02604 | −0.947392 | ||||||||
\(56\) | 5.61802 | + | 2.84476i | 0.750739 | + | 0.380147i | ||||
\(57\) | −5.12050 | − | 4.70556i | −0.678226 | − | 0.623267i | ||||
\(58\) | 2.28285 | − | 3.95401i | 0.299753 | − | 0.519187i | ||||
\(59\) | −6.58407 | −0.857173 | −0.428586 | − | 0.903501i | \(-0.640988\pi\) | ||||
−0.428586 | + | 0.903501i | \(0.640988\pi\) | |||||||
\(60\) | 0.833682 | − | 3.73521i | 0.107628 | − | 0.482213i | ||||
\(61\) | 0.0752645 | 0.00963663 | 0.00481831 | − | 0.999988i | \(-0.498466\pi\) | ||||
0.00481831 | + | 0.999988i | \(0.498466\pi\) | |||||||
\(62\) | 1.67974 | 0.213328 | ||||||||
\(63\) | −7.86039 | + | 1.10192i | −0.990316 | + | 0.138829i | ||||
\(64\) | 0.855913 | 0.106989 | ||||||||
\(65\) | 3.92514 | 0.486854 | ||||||||
\(66\) | 4.21529 | + | 3.87370i | 0.518866 | + | 0.476820i | ||||
\(67\) | −12.5877 | −1.53783 | −0.768916 | − | 0.639350i | \(-0.779204\pi\) | ||||
−0.768916 | + | 0.639350i | \(0.779204\pi\) | |||||||
\(68\) | −0.868117 | + | 1.50362i | −0.105275 | + | 0.182341i | ||||
\(69\) | −2.05125 | + | 9.19035i | −0.246941 | + | 1.10639i | ||||
\(70\) | 2.11600 | − | 1.38172i | 0.252911 | − | 0.165147i | ||||
\(71\) | 0.0804951 | 0.00955301 | 0.00477651 | − | 0.999989i | \(-0.498480\pi\) | ||||
0.00477651 | + | 0.999989i | \(0.498480\pi\) | |||||||
\(72\) | −5.86073 | + | 4.07880i | −0.690694 | + | 0.480691i | ||||
\(73\) | 5.34551 | − | 9.25869i | 0.625644 | − | 1.08365i | −0.362772 | − | 0.931878i | \(-0.618170\pi\) |
0.988416 | − | 0.151769i | \(-0.0484971\pi\) | |||||||
\(74\) | 0.475793 | + | 0.824098i | 0.0553098 | + | 0.0957995i | ||||
\(75\) | 3.78715 | + | 3.48026i | 0.437303 | + | 0.401866i | ||||
\(76\) | 3.11297 | + | 5.39183i | 0.357083 | + | 0.618485i | ||||
\(77\) | −0.715488 | − | 13.0260i | −0.0815374 | − | 1.48445i | ||||
\(78\) | −2.35489 | − | 2.16407i | −0.266639 | − | 0.245032i | ||||
\(79\) | −1.84491 | −0.207569 | −0.103785 | − | 0.994600i | \(-0.533095\pi\) | ||||
−0.103785 | + | 0.994600i | \(0.533095\pi\) | |||||||
\(80\) | −1.07286 | + | 1.85825i | −0.119950 | + | 0.207759i | ||||
\(81\) | 3.12651 | − | 8.43949i | 0.347390 | − | 0.937721i | ||||
\(82\) | 0.0833788 | + | 0.144416i | 0.00920765 | + | 0.0159481i | ||||
\(83\) | −7.23583 | + | 12.5328i | −0.794236 | + | 1.37566i | 0.129088 | + | 0.991633i | \(0.458795\pi\) |
−0.923323 | + | 0.384023i | \(0.874538\pi\) | |||||||
\(84\) | 7.00980 | + | 1.16524i | 0.764832 | + | 0.127138i | ||||
\(85\) | 0.797736 | + | 1.38172i | 0.0865266 | + | 0.149868i | ||||
\(86\) | −0.334036 | + | 0.578567i | −0.0360200 | + | 0.0623885i | ||||
\(87\) | 2.56984 | − | 11.5139i | 0.275516 | − | 1.23442i | ||||
\(88\) | −5.86792 | − | 10.1635i | −0.625522 | − | 1.08344i | ||||
\(89\) | 6.76292 | + | 11.7137i | 0.716868 | + | 1.24165i | 0.962235 | + | 0.272222i | \(0.0877584\pi\) |
−0.245366 | + | 0.969430i | \(0.578908\pi\) | |||||||
\(90\) | 0.241583 | + | 2.85534i | 0.0254651 | + | 0.300980i | ||||
\(91\) | 0.399711 | + | 7.27703i | 0.0419011 | + | 0.762840i | ||||
\(92\) | 4.21515 | − | 7.30085i | 0.439460 | − | 0.761167i | ||||
\(93\) | 4.14122 | − | 1.29921i | 0.429424 | − | 0.134722i | ||||
\(94\) | −6.35193 | −0.655152 | ||||||||
\(95\) | 5.72119 | 0.586982 | ||||||||
\(96\) | 9.53509 | − | 2.99142i | 0.973171 | − | 0.305310i | ||||
\(97\) | 2.70160 | − | 4.67930i | 0.274306 | − | 0.475111i | −0.695654 | − | 0.718377i | \(-0.744885\pi\) |
0.969960 | + | 0.243266i | \(0.0782187\pi\) | |||||||
\(98\) | 2.77712 | + | 3.78226i | 0.280532 | + | 0.382066i | ||||
\(99\) | 13.3885 | + | 6.28982i | 1.34559 | + | 0.632151i | ||||
\(100\) | −2.30238 | − | 3.98783i | −0.230238 | − | 0.398783i | ||||
\(101\) | 2.56770 | + | 4.44739i | 0.255496 | + | 0.442531i | 0.965030 | − | 0.262139i | \(-0.0844280\pi\) |
−0.709534 | + | 0.704671i | \(0.751095\pi\) | |||||||
\(102\) | 0.283187 | − | 1.26878i | 0.0280397 | − | 0.125628i | ||||
\(103\) | 7.10561 | − | 12.3073i | 0.700137 | − | 1.21267i | −0.268282 | − | 0.963341i | \(-0.586456\pi\) |
0.968418 | − | 0.249332i | \(-0.0802109\pi\) | |||||||
\(104\) | 3.27814 | + | 5.67791i | 0.321448 | + | 0.556765i | ||||
\(105\) | 4.14806 | − | 5.04311i | 0.404809 | − | 0.492157i | ||||
\(106\) | −0.274990 | + | 0.476296i | −0.0267094 | + | 0.0462620i | ||||
\(107\) | 3.83015 | + | 6.63401i | 0.370274 | + | 0.641334i | 0.989608 | − | 0.143794i | \(-0.0459303\pi\) |
−0.619333 | + | 0.785128i | \(0.712597\pi\) | |||||||
\(108\) | −4.93244 | + | 6.37129i | −0.474624 | + | 0.613078i | ||||
\(109\) | −0.849394 | + | 1.47119i | −0.0813572 | + | 0.140915i | −0.903833 | − | 0.427885i | \(-0.859259\pi\) |
0.822476 | + | 0.568800i | \(0.192592\pi\) | |||||||
\(110\) | −4.70979 | −0.449061 | ||||||||
\(111\) | 1.81042 | + | 1.66371i | 0.171838 | + | 0.157913i | ||||
\(112\) | −3.55436 | − | 1.79980i | −0.335856 | − | 0.170065i | ||||
\(113\) | −0.300351 | − | 0.520224i | −0.0282547 | − | 0.0489385i | 0.851552 | − | 0.524270i | \(-0.175662\pi\) |
−0.879807 | + | 0.475331i | \(0.842328\pi\) | |||||||
\(114\) | −3.43244 | − | 3.15429i | −0.321477 | − | 0.295426i | ||||
\(115\) | −3.87341 | − | 6.70895i | −0.361198 | − | 0.625613i | ||||
\(116\) | −5.28083 | + | 9.14666i | −0.490312 | + | 0.849246i | ||||
\(117\) | −7.47954 | − | 3.51385i | −0.691484 | − | 0.324855i | ||||
\(118\) | −4.41352 | −0.406297 | ||||||||
\(119\) | −2.48041 | + | 1.61967i | −0.227379 | + | 0.148475i | ||||
\(120\) | 1.27963 | − | 5.73322i | 0.116814 | − | 0.523369i | ||||
\(121\) | −6.65626 | + | 11.5290i | −0.605115 | + | 1.04809i | ||||
\(122\) | 0.0504522 | 0.00456773 | ||||||||
\(123\) | 0.317261 | + | 0.291552i | 0.0286065 | + | 0.0262884i | ||||
\(124\) | −3.88569 | −0.348945 | ||||||||
\(125\) | −11.3561 | −1.01572 | ||||||||
\(126\) | −5.26908 | + | 0.738654i | −0.469407 | + | 0.0658045i | ||||
\(127\) | 7.25977 | 0.644200 | 0.322100 | − | 0.946706i | \(-0.395611\pi\) | ||||
0.322100 | + | 0.946706i | \(0.395611\pi\) | |||||||
\(128\) | −10.9656 | −0.969227 | ||||||||
\(129\) | −0.376030 | + | 1.68475i | −0.0331076 | + | 0.148334i | ||||
\(130\) | 2.63115 | 0.230767 | ||||||||
\(131\) | 10.2265 | − | 17.7128i | 0.893492 | − | 1.54757i | 0.0578326 | − | 0.998326i | \(-0.481581\pi\) |
0.835660 | − | 0.549248i | \(-0.185086\pi\) | |||||||
\(132\) | −9.75105 | − | 8.96088i | −0.848720 | − | 0.779945i | ||||
\(133\) | 0.582610 | + | 10.6068i | 0.0505187 | + | 0.919728i | ||||
\(134\) | −8.43794 | −0.728927 | ||||||||
\(135\) | 2.80409 | + | 6.85267i | 0.241337 | + | 0.589784i | ||||
\(136\) | −1.33248 | + | 2.30793i | −0.114260 | + | 0.197903i | ||||
\(137\) | −6.10581 | − | 10.5756i | −0.521655 | − | 0.903532i | −0.999683 | − | 0.0251879i | \(-0.991982\pi\) |
0.478028 | − | 0.878345i | \(-0.341352\pi\) | |||||||
\(138\) | −1.37502 | + | 6.16059i | −0.117049 | + | 0.524425i | ||||
\(139\) | −1.24092 | − | 2.14933i | −0.105253 | − | 0.182304i | 0.808588 | − | 0.588375i | \(-0.200232\pi\) |
−0.913842 | + | 0.406071i | \(0.866899\pi\) | |||||||
\(140\) | −4.89486 | + | 3.19628i | −0.413691 | + | 0.270135i | ||||
\(141\) | −15.6600 | + | 4.91296i | −1.31881 | + | 0.413746i | ||||
\(142\) | 0.0539585 | 0.00452810 | ||||||||
\(143\) | 6.79117 | − | 11.7626i | 0.567906 | − | 0.983642i | ||||
\(144\) | 3.70792 | − | 2.58054i | 0.308994 | − | 0.215045i | ||||
\(145\) | 4.85269 | + | 8.40511i | 0.402994 | + | 0.698006i | ||||
\(146\) | 3.58327 | − | 6.20640i | 0.296553 | − | 0.513645i | ||||
\(147\) | 9.77211 | + | 7.17675i | 0.805990 | + | 0.591929i | ||||
\(148\) | −1.10063 | − | 1.90635i | −0.0904715 | − | 0.156701i | ||||
\(149\) | 4.27797 | − | 7.40966i | 0.350465 | − | 0.607023i | −0.635866 | − | 0.771799i | \(-0.719357\pi\) |
0.986331 | + | 0.164777i | \(0.0526903\pi\) | |||||||
\(150\) | 2.53865 | + | 2.33293i | 0.207280 | + | 0.190483i | ||||
\(151\) | 8.82962 | + | 15.2933i | 0.718544 | + | 1.24455i | 0.961577 | + | 0.274537i | \(0.0885244\pi\) |
−0.243033 | + | 0.970018i | \(0.578142\pi\) | |||||||
\(152\) | 4.77814 | + | 8.27599i | 0.387559 | + | 0.671271i | ||||
\(153\) | −0.283187 | − | 3.34708i | −0.0228943 | − | 0.270595i | ||||
\(154\) | −0.479615 | − | 8.73173i | −0.0386485 | − | 0.703623i | ||||
\(155\) | −1.78533 | + | 3.09228i | −0.143401 | + | 0.248378i | ||||
\(156\) | 5.44748 | + | 5.00605i | 0.436148 | + | 0.400805i | ||||
\(157\) | 6.32149 | 0.504510 | 0.252255 | − | 0.967661i | \(-0.418828\pi\) | ||||
0.252255 | + | 0.967661i | \(0.418828\pi\) | |||||||
\(158\) | −1.23671 | −0.0983871 | ||||||||
\(159\) | −0.309561 | + | 1.38695i | −0.0245498 | + | 0.109992i | ||||
\(160\) | −4.11070 | + | 7.11993i | −0.324979 | + | 0.562880i | ||||
\(161\) | 12.0436 | − | 7.86433i | 0.949172 | − | 0.619796i | ||||
\(162\) | 2.09580 | − | 5.65726i | 0.164662 | − | 0.444477i | ||||
\(163\) | −4.01134 | − | 6.94784i | −0.314192 | − | 0.544197i | 0.665073 | − | 0.746778i | \(-0.268400\pi\) |
−0.979265 | + | 0.202581i | \(0.935067\pi\) | |||||||
\(164\) | −0.192877 | − | 0.334073i | −0.0150612 | − | 0.0260867i | ||||
\(165\) | −11.6114 | + | 3.64283i | −0.903950 | + | 0.283594i | ||||
\(166\) | −4.85041 | + | 8.40116i | −0.376465 | + | 0.652057i | ||||
\(167\) | 1.06038 | + | 1.83663i | 0.0820545 | + | 0.142123i | 0.904132 | − | 0.427253i | \(-0.140518\pi\) |
−0.822078 | + | 0.569375i | \(0.807185\pi\) | |||||||
\(168\) | 10.7594 | + | 1.78854i | 0.830109 | + | 0.137989i | ||||
\(169\) | 2.70608 | − | 4.68706i | 0.208160 | − | 0.360543i | ||||
\(170\) | 0.534749 | + | 0.926212i | 0.0410133 | + | 0.0710372i | ||||
\(171\) | −10.9020 | − | 5.12170i | −0.833697 | − | 0.391666i | ||||
\(172\) | 0.772712 | − | 1.33838i | 0.0589187 | − | 0.102050i | ||||
\(173\) | −18.2881 | −1.39042 | −0.695208 | − | 0.718808i | \(-0.744688\pi\) | ||||
−0.695208 | + | 0.718808i | \(0.744688\pi\) | |||||||
\(174\) | 1.72265 | − | 7.71812i | 0.130594 | − | 0.585109i | ||||
\(175\) | −0.430902 | − | 7.84487i | −0.0325731 | − | 0.593017i | ||||
\(176\) | 3.71247 | + | 6.43018i | 0.279838 | + | 0.484693i | ||||
\(177\) | −10.8810 | + | 3.41367i | −0.817868 | + | 0.256587i | ||||
\(178\) | 4.53341 | + | 7.85209i | 0.339793 | + | 0.588539i | ||||
\(179\) | 3.81276 | − | 6.60389i | 0.284979 | − | 0.493598i | −0.687625 | − | 0.726066i | \(-0.741347\pi\) |
0.972604 | + | 0.232468i | \(0.0746801\pi\) | |||||||
\(180\) | −0.558844 | − | 6.60516i | −0.0416538 | − | 0.492319i | ||||
\(181\) | 15.5305 | 1.15438 | 0.577188 | − | 0.816611i | \(-0.304150\pi\) | ||||
0.577188 | + | 0.816611i | \(0.304150\pi\) | |||||||
\(182\) | 0.267940 | + | 4.87803i | 0.0198610 | + | 0.361584i | ||||
\(183\) | 0.124384 | − | 0.0390227i | 0.00919475 | − | 0.00288464i | ||||
\(184\) | 6.46989 | − | 11.2062i | 0.476967 | − | 0.826130i | ||||
\(185\) | −2.02280 | −0.148719 | ||||||||
\(186\) | 2.77599 | − | 0.870905i | 0.203546 | − | 0.0638578i | ||||
\(187\) | 5.52088 | 0.403727 | ||||||||
\(188\) | 14.6937 | 1.07165 | ||||||||
\(189\) | −12.4190 | + | 5.89648i | −0.903349 | + | 0.428906i | ||||
\(190\) | 3.83510 | 0.278227 | ||||||||
\(191\) | 14.8325 | 1.07324 | 0.536620 | − | 0.843824i | \(-0.319701\pi\) | ||||
0.536620 | + | 0.843824i | \(0.319701\pi\) | |||||||
\(192\) | 1.41451 | − | 0.443769i | 0.102083 | − | 0.0320263i | ||||
\(193\) | 16.5677 | 1.19257 | 0.596286 | − | 0.802772i | \(-0.296642\pi\) | ||||
0.596286 | + | 0.802772i | \(0.296642\pi\) | |||||||
\(194\) | 1.81097 | − | 3.13669i | 0.130020 | − | 0.225201i | ||||
\(195\) | 6.48680 | − | 2.03509i | 0.464529 | − | 0.145736i | ||||
\(196\) | −6.42421 | − | 8.74936i | −0.458872 | − | 0.624955i | ||||
\(197\) | −4.03740 | −0.287653 | −0.143826 | − | 0.989603i | \(-0.545941\pi\) | ||||
−0.143826 | + | 0.989603i | \(0.545941\pi\) | |||||||
\(198\) | 8.97472 | + | 4.21628i | 0.637806 | + | 0.299638i | ||||
\(199\) | −12.6407 | + | 21.8943i | −0.896076 | + | 1.55205i | −0.0636081 | + | 0.997975i | \(0.520261\pi\) |
−0.832468 | + | 0.554074i | \(0.813073\pi\) | |||||||
\(200\) | −3.53395 | − | 6.12097i | −0.249888 | − | 0.432818i | ||||
\(201\) | −20.8028 | + | 6.52640i | −1.46732 | + | 0.460337i | ||||
\(202\) | 1.72121 | + | 2.98123i | 0.121104 | + | 0.209758i | ||||
\(203\) | −15.0885 | + | 9.85259i | −1.05901 | + | 0.691516i | ||||
\(204\) | −0.655085 | + | 2.93503i | −0.0458651 | + | 0.205493i | ||||
\(205\) | −0.354480 | −0.0247579 | ||||||||
\(206\) | 4.76312 | − | 8.24997i | 0.331862 | − | 0.574803i | ||||
\(207\) | 1.37502 | + | 16.2518i | 0.0955703 | + | 1.12958i | ||||
\(208\) | −2.07399 | − | 3.59226i | −0.143805 | − | 0.249078i | ||||
\(209\) | 9.89864 | − | 17.1449i | 0.684703 | − | 1.18594i | ||||
\(210\) | 2.78058 | − | 3.38056i | 0.191878 | − | 0.233281i | ||||
\(211\) | −3.76246 | − | 6.51678i | −0.259019 | − | 0.448634i | 0.706961 | − | 0.707253i | \(-0.250066\pi\) |
−0.965979 | + | 0.258619i | \(0.916732\pi\) | |||||||
\(212\) | 0.636123 | − | 1.10180i | 0.0436891 | − | 0.0756718i | ||||
\(213\) | 0.133029 | − | 0.0417347i | 0.00911497 | − | 0.00285961i | ||||
\(214\) | 2.56747 | + | 4.44699i | 0.175509 | + | 0.303990i | ||||
\(215\) | −0.710065 | − | 1.22987i | −0.0484261 | − | 0.0838764i | ||||
\(216\) | −7.57086 | + | 9.77938i | −0.515132 | + | 0.665402i | ||||
\(217\) | −5.91476 | − | 2.99502i | −0.401520 | − | 0.203315i | ||||
\(218\) | −0.569377 | + | 0.986190i | −0.0385631 | + | 0.0667932i | ||||
\(219\) | 4.03374 | − | 18.0727i | 0.272575 | − | 1.22124i | ||||
\(220\) | 10.8950 | 0.734538 | ||||||||
\(221\) | −3.08427 | −0.207471 | ||||||||
\(222\) | 1.21358 | + | 1.11524i | 0.0814504 | + | 0.0748501i | ||||
\(223\) | 6.49230 | − | 11.2450i | 0.434757 | − | 0.753020i | −0.562519 | − | 0.826784i | \(-0.690168\pi\) |
0.997276 | + | 0.0737638i | \(0.0235011\pi\) | |||||||
\(224\) | −13.6186 | − | 6.89599i | −0.909934 | − | 0.460758i | ||||
\(225\) | 8.06319 | + | 3.78804i | 0.537546 | + | 0.252536i | ||||
\(226\) | −0.201335 | − | 0.348723i | −0.0133926 | − | 0.0231967i | ||||
\(227\) | 14.4832 | + | 25.0857i | 0.961286 | + | 1.66500i | 0.719277 | + | 0.694723i | \(0.244473\pi\) |
0.242009 | + | 0.970274i | \(0.422194\pi\) | |||||||
\(228\) | 7.94012 | + | 7.29670i | 0.525847 | + | 0.483235i | ||||
\(229\) | −7.71790 | + | 13.3678i | −0.510013 | + | 0.883369i | 0.489919 | + | 0.871768i | \(0.337026\pi\) |
−0.999933 | + | 0.0116012i | \(0.996307\pi\) | |||||||
\(230\) | −2.59648 | − | 4.49723i | −0.171207 | − | 0.296538i | ||||
\(231\) | −7.93607 | − | 21.1561i | −0.522155 | − | 1.39197i | ||||
\(232\) | −8.10561 | + | 14.0393i | −0.532159 | + | 0.921727i | ||||
\(233\) | −2.47324 | − | 4.28378i | −0.162027 | − | 0.280640i | 0.773568 | − | 0.633713i | \(-0.218470\pi\) |
−0.935596 | + | 0.353073i | \(0.885137\pi\) | |||||||
\(234\) | −5.01378 | − | 2.35545i | −0.327761 | − | 0.153980i | ||||
\(235\) | 6.75121 | − | 11.6934i | 0.440400 | − | 0.762795i | ||||
\(236\) | 10.2096 | 0.664589 | ||||||||
\(237\) | −3.04896 | + | 0.956542i | −0.198051 | + | 0.0621341i | ||||
\(238\) | −1.66270 | + | 1.08572i | −0.107777 | + | 0.0703767i | ||||
\(239\) | 6.51732 | + | 11.2883i | 0.421571 | + | 0.730182i | 0.996093 | − | 0.0883069i | \(-0.0281456\pi\) |
−0.574523 | + | 0.818489i | \(0.694812\pi\) | |||||||
\(240\) | −0.809586 | + | 3.62725i | −0.0522586 | + | 0.234138i | ||||
\(241\) | −7.29123 | − | 12.6288i | −0.469670 | − | 0.813492i | 0.529729 | − | 0.848167i | \(-0.322294\pi\) |
−0.999399 | + | 0.0346754i | \(0.988960\pi\) | |||||||
\(242\) | −4.46191 | + | 7.72826i | −0.286823 | + | 0.496791i | ||||
\(243\) | 0.791301 | − | 15.5684i | 0.0507620 | − | 0.998711i | ||||
\(244\) | −0.116709 | −0.00747154 | ||||||||
\(245\) | −9.91456 | + | 1.09247i | −0.633418 | + | 0.0697951i | ||||
\(246\) | 0.212671 | + | 0.195437i | 0.0135594 | + | 0.0124606i | ||||
\(247\) | −5.52993 | + | 9.57812i | −0.351861 | + | 0.609441i | ||||
\(248\) | −5.96419 | −0.378726 | ||||||||
\(249\) | −5.46019 | + | 24.4637i | −0.346026 | + | 1.55032i | ||||
\(250\) | −7.61238 | −0.481449 | ||||||||
\(251\) | −14.0715 | −0.888187 | −0.444094 | − | 0.895980i | \(-0.646474\pi\) | ||||
−0.444094 | + | 0.895980i | \(0.646474\pi\) | |||||||
\(252\) | 12.1887 | − | 1.70870i | 0.767819 | − | 0.107638i | ||||
\(253\) | −26.8067 | −1.68532 | ||||||||
\(254\) | 4.86646 | 0.305349 | ||||||||
\(255\) | 2.03475 | + | 1.86986i | 0.127421 | + | 0.117095i | ||||
\(256\) | −9.06240 | −0.566400 | ||||||||
\(257\) | 4.18108 | − | 7.24184i | 0.260808 | − | 0.451733i | −0.705649 | − | 0.708562i | \(-0.749344\pi\) |
0.966457 | + | 0.256829i | \(0.0826776\pi\) | |||||||
\(258\) | −0.252065 | + | 1.12935i | −0.0156929 | + | 0.0703100i | ||||
\(259\) | −0.205989 | − | 3.75019i | −0.0127996 | − | 0.233025i | ||||
\(260\) | −6.08653 | −0.377471 | ||||||||
\(261\) | −1.72265 | − | 20.3605i | −0.106629 | − | 1.26029i | ||||
\(262\) | 6.85515 | − | 11.8735i | 0.423512 | − | 0.733545i | ||||
\(263\) | −1.63533 | − | 2.83247i | −0.100839 | − | 0.174658i | 0.811192 | − | 0.584780i | \(-0.198819\pi\) |
−0.912030 | + | 0.410122i | \(0.865486\pi\) | |||||||
\(264\) | −14.9670 | − | 13.7542i | −0.921157 | − | 0.846511i | ||||
\(265\) | −0.584551 | − | 1.01247i | −0.0359087 | − | 0.0621956i | ||||
\(266\) | 0.390542 | + | 7.11010i | 0.0239457 | + | 0.435948i | ||||
\(267\) | 17.2499 | + | 15.8520i | 1.05568 | + | 0.970129i | ||||
\(268\) | 19.5192 | 1.19232 | ||||||||
\(269\) | −7.69349 | + | 13.3255i | −0.469081 | + | 0.812471i | −0.999375 | − | 0.0353420i | \(-0.988748\pi\) |
0.530295 | + | 0.847813i | \(0.322081\pi\) | |||||||
\(270\) | 1.87967 | + | 4.59357i | 0.114393 | + | 0.279556i | ||||
\(271\) | 4.06308 | + | 7.03747i | 0.246815 | + | 0.427496i | 0.962640 | − | 0.270783i | \(-0.0872827\pi\) |
−0.715825 | + | 0.698279i | \(0.753949\pi\) | |||||||
\(272\) | 0.843026 | − | 1.46016i | 0.0511160 | − | 0.0885355i | ||||
\(273\) | 4.43353 | + | 11.8190i | 0.268330 | + | 0.715318i | ||||
\(274\) | −4.09293 | − | 7.08915i | −0.247263 | − | 0.428271i | ||||
\(275\) | −7.32110 | + | 12.6805i | −0.441479 | + | 0.764664i | ||||
\(276\) | 3.18077 | − | 14.2511i | 0.191460 | − | 0.857813i | ||||
\(277\) | −6.42287 | − | 11.1247i | −0.385913 | − | 0.668421i | 0.605982 | − | 0.795478i | \(-0.292780\pi\) |
−0.991895 | + | 0.127057i | \(0.959447\pi\) | |||||||
\(278\) | −0.831826 | − | 1.44077i | −0.0498896 | − | 0.0864114i | ||||
\(279\) | 6.17029 | − | 4.29423i | 0.369406 | − | 0.257089i | ||||
\(280\) | −7.51319 | + | 4.90601i | −0.448999 | + | 0.293190i | ||||
\(281\) | −0.724081 | + | 1.25415i | −0.0431951 | + | 0.0748161i | −0.886815 | − | 0.462125i | \(-0.847087\pi\) |
0.843620 | + | 0.536941i | \(0.180420\pi\) | |||||||
\(282\) | −10.4974 | + | 3.29332i | −0.625111 | + | 0.196114i | ||||
\(283\) | −17.4385 | −1.03661 | −0.518306 | − | 0.855195i | \(-0.673437\pi\) | ||||
−0.518306 | + | 0.855195i | \(0.673437\pi\) | |||||||
\(284\) | −0.124820 | −0.00740671 | ||||||||
\(285\) | 9.45500 | − | 2.96629i | 0.560066 | − | 0.175708i | ||||
\(286\) | 4.55234 | − | 7.88489i | 0.269186 | − | 0.466243i | ||||
\(287\) | −0.0360979 | − | 0.657189i | −0.00213079 | − | 0.0387926i | ||||
\(288\) | 14.2070 | − | 9.88741i | 0.837156 | − | 0.582621i | ||||
\(289\) | 7.87316 | + | 13.6367i | 0.463127 | + | 0.802160i | ||||
\(290\) | 3.25292 | + | 5.63422i | 0.191018 | + | 0.330853i | ||||
\(291\) | 2.03864 | − | 9.13386i | 0.119507 | − | 0.535437i | ||||
\(292\) | −8.28903 | + | 14.3570i | −0.485079 | + | 0.840181i | ||||
\(293\) | −0.900048 | − | 1.55893i | −0.0525814 | − | 0.0910736i | 0.838537 | − | 0.544845i | \(-0.183412\pi\) |
−0.891118 | + | 0.453772i | \(0.850078\pi\) | |||||||
\(294\) | 6.55057 | + | 4.81081i | 0.382037 | + | 0.280572i | ||||
\(295\) | 4.69094 | − | 8.12495i | 0.273117 | − | 0.473053i | ||||
\(296\) | −1.68938 | − | 2.92609i | −0.0981931 | − | 0.170075i | ||||
\(297\) | 25.3873 | + | 3.45317i | 1.47312 | + | 0.200373i | ||||
\(298\) | 2.86766 | − | 4.96693i | 0.166119 | − | 0.287727i | ||||
\(299\) | 14.9757 | 0.866068 | ||||||||
\(300\) | −5.87256 | − | 5.39668i | −0.339053 | − | 0.311578i | ||||
\(301\) | 2.20781 | − | 1.44167i | 0.127256 | − | 0.0830965i | ||||
\(302\) | 5.91878 | + | 10.2516i | 0.340588 | + | 0.589915i | ||||
\(303\) | 6.54931 | + | 6.01859i | 0.376248 | + | 0.345759i | ||||
\(304\) | −3.02300 | − | 5.23599i | −0.173381 | − | 0.300305i | ||||
\(305\) | −0.0536236 | + | 0.0928787i | −0.00307048 | + | 0.00531822i | ||||
\(306\) | −0.189830 | − | 2.24366i | −0.0108518 | − | 0.128261i | ||||
\(307\) | 1.06478 | 0.0607699 | 0.0303850 | − | 0.999538i | \(-0.490327\pi\) | ||||
0.0303850 | + | 0.999538i | \(0.490327\pi\) | |||||||
\(308\) | 1.10947 | + | 20.1988i | 0.0632181 | + | 1.15093i | ||||
\(309\) | 5.36193 | − | 24.0234i | 0.305029 | − | 1.36665i | ||||
\(310\) | −1.19676 | + | 2.07286i | −0.0679717 | + | 0.117730i | ||||
\(311\) | −16.9293 | −0.959970 | −0.479985 | − | 0.877277i | \(-0.659358\pi\) | ||||
−0.479985 | + | 0.877277i | \(0.659358\pi\) | |||||||
\(312\) | 8.36141 | + | 7.68385i | 0.473372 | + | 0.435012i | ||||
\(313\) | −8.27856 | −0.467932 | −0.233966 | − | 0.972245i | \(-0.575170\pi\) | ||||
−0.233966 | + | 0.972245i | \(0.575170\pi\) | |||||||
\(314\) | 4.23750 | 0.239136 | ||||||||
\(315\) | 4.24048 | − | 10.4851i | 0.238924 | − | 0.590766i | ||||
\(316\) | 2.86082 | 0.160934 | ||||||||
\(317\) | 6.54741 | 0.367739 | 0.183870 | − | 0.982951i | \(-0.441138\pi\) | ||||
0.183870 | + | 0.982951i | \(0.441138\pi\) | |||||||
\(318\) | −0.207509 | + | 0.929717i | −0.0116365 | + | 0.0521359i | ||||
\(319\) | 33.5840 | 1.88034 | ||||||||
\(320\) | −0.609811 | + | 1.05622i | −0.0340895 | + | 0.0590447i | ||||
\(321\) | 9.76938 | + | 8.97773i | 0.545274 | + | 0.501088i | ||||
\(322\) | 8.07325 | − | 5.27172i | 0.449905 | − | 0.293781i | ||||
\(323\) | −4.49556 | −0.250140 | ||||||||
\(324\) | −4.84814 | + | 13.0867i | −0.269341 | + | 0.727040i | ||||
\(325\) | 4.08997 | − | 7.08404i | 0.226871 | − | 0.392952i | ||||
\(326\) | −2.68893 | − | 4.65736i | −0.148926 | − | 0.257947i | ||||
\(327\) | −0.640957 | + | 2.87173i | −0.0354450 | + | 0.158807i | ||||
\(328\) | −0.296049 | − | 0.512773i | −0.0163466 | − | 0.0283131i | ||||
\(329\) | 22.3666 | + | 11.3256i | 1.23311 | + | 0.624403i | ||||
\(330\) | −7.78353 | + | 2.44191i | −0.428469 | + | 0.134422i | ||||
\(331\) | −26.7258 | −1.46899 | −0.734493 | − | 0.678617i | \(-0.762580\pi\) | ||||
−0.734493 | + | 0.678617i | \(0.762580\pi\) | |||||||
\(332\) | 11.2203 | − | 19.4341i | 0.615792 | − | 1.06658i | ||||
\(333\) | 3.85455 | + | 1.81085i | 0.211228 | + | 0.0992337i | ||||
\(334\) | 0.710806 | + | 1.23115i | 0.0388936 | + | 0.0673657i | ||||
\(335\) | 8.96834 | − | 15.5336i | 0.489993 | − | 0.848692i | ||||
\(336\) | −6.80720 | − | 1.13156i | −0.371363 | − | 0.0617316i | ||||
\(337\) | −4.76164 | − | 8.24740i | −0.259383 | − | 0.449264i | 0.706694 | − | 0.707520i | \(-0.250186\pi\) |
−0.966077 | + | 0.258255i | \(0.916853\pi\) | |||||||
\(338\) | 1.81397 | − | 3.14189i | 0.0986670 | − | 0.170896i | ||||
\(339\) | −0.766092 | − | 0.704012i | −0.0416084 | − | 0.0382367i | ||||
\(340\) | −1.23701 | − | 2.14257i | −0.0670864 | − | 0.116197i | ||||
\(341\) | 6.17786 | + | 10.7004i | 0.334550 | + | 0.579457i | ||||
\(342\) | −7.30796 | − | 3.43324i | −0.395169 | − | 0.185648i | ||||
\(343\) | −3.03502 | − | 18.2699i | −0.163876 | − | 0.986481i | ||||
\(344\) | 1.18605 | − | 2.05429i | 0.0639473 | − | 0.110760i | ||||
\(345\) | −9.87974 | − | 9.07914i | −0.531907 | − | 0.488805i | ||||
\(346\) | −12.2591 | −0.659053 | ||||||||
\(347\) | −18.7031 | −1.00404 | −0.502018 | − | 0.864857i | \(-0.667409\pi\) | ||||
−0.502018 | + | 0.864857i | \(0.667409\pi\) | |||||||
\(348\) | −3.98494 | + | 17.8540i | −0.213615 | + | 0.957076i | ||||
\(349\) | −15.0542 | + | 26.0747i | −0.805834 | + | 1.39574i | 0.109893 | + | 0.993943i | \(0.464949\pi\) |
−0.915727 | + | 0.401801i | \(0.868384\pi\) | |||||||
\(350\) | −0.288848 | − | 5.25868i | −0.0154396 | − | 0.281088i | ||||
\(351\) | −14.1827 | − | 1.92913i | −0.757019 | − | 0.102970i | ||||
\(352\) | 14.2244 | + | 24.6374i | 0.758164 | + | 1.31318i | ||||
\(353\) | −3.12966 | − | 5.42074i | −0.166575 | − | 0.288517i | 0.770638 | − | 0.637273i | \(-0.219938\pi\) |
−0.937214 | + | 0.348756i | \(0.886604\pi\) | |||||||
\(354\) | −7.29391 | + | 2.28830i | −0.387667 | + | 0.121622i | ||||
\(355\) | −0.0573502 | + | 0.0993335i | −0.00304383 | + | 0.00527208i | ||||
\(356\) | −10.4870 | − | 18.1639i | −0.555807 | − | 0.962686i | ||||
\(357\) | −3.25944 | + | 3.96275i | −0.172508 | + | 0.209731i | ||||
\(358\) | 2.55582 | − | 4.42680i | 0.135079 | − | 0.233964i | ||||
\(359\) | −5.09755 | − | 8.82921i | −0.269038 | − | 0.465988i | 0.699575 | − | 0.714559i | \(-0.253372\pi\) |
−0.968614 | + | 0.248571i | \(0.920039\pi\) | |||||||
\(360\) | −0.857777 | − | 10.1383i | −0.0452088 | − | 0.534338i | ||||
\(361\) | 1.43970 | − | 2.49364i | 0.0757739 | − | 0.131244i | ||||
\(362\) | 10.4106 | 0.547171 | ||||||||
\(363\) | −5.02285 | + | 22.5042i | −0.263631 | + | 1.18117i | ||||
\(364\) | −0.619814 | − | 11.2842i | −0.0324871 | − | 0.591450i | ||||
\(365\) | 7.61701 | + | 13.1931i | 0.398693 | + | 0.690556i | ||||
\(366\) | 0.0833788 | − | 0.0261582i | 0.00435828 | − | 0.00136731i | ||||
\(367\) | 14.3278 | + | 24.8165i | 0.747906 | + | 1.29541i | 0.948824 | + | 0.315804i | \(0.102274\pi\) |
−0.200918 | + | 0.979608i | \(0.564392\pi\) | |||||||
\(368\) | −4.09332 | + | 7.08984i | −0.213379 | + | 0.369584i | ||||
\(369\) | 0.675478 | + | 0.317336i | 0.0351640 | + | 0.0165198i | ||||
\(370\) | −1.35595 | −0.0704926 | ||||||||
\(371\) | 1.81755 | − | 1.18683i | 0.0943624 | − | 0.0616173i | ||||
\(372\) | −6.42160 | + | 2.01463i | −0.332944 | + | 0.104454i | ||||
\(373\) | 8.03670 | − | 13.9200i | 0.416124 | − | 0.720749i | −0.579421 | − | 0.815028i | \(-0.696721\pi\) |
0.995546 | + | 0.0942796i | \(0.0300548\pi\) | |||||||
\(374\) | 3.70083 | 0.191365 | ||||||||
\(375\) | −18.7674 | + | 5.88786i | −0.969147 | + | 0.304048i | ||||
\(376\) | 22.5535 | 1.16311 | ||||||||
\(377\) | −18.7619 | −0.966286 | ||||||||
\(378\) | −8.32486 | + | 3.95261i | −0.428185 | + | 0.203300i | ||||
\(379\) | −1.01893 | −0.0523388 | −0.0261694 | − | 0.999658i | \(-0.508331\pi\) | ||||
−0.0261694 | + | 0.999658i | \(0.508331\pi\) | |||||||
\(380\) | −8.87158 | −0.455103 | ||||||||
\(381\) | 11.9977 | − | 3.76401i | 0.614661 | − | 0.192836i | ||||
\(382\) | 9.94270 | 0.508713 | ||||||||
\(383\) | 5.79327 | − | 10.0342i | 0.296022 | − | 0.512725i | −0.679200 | − | 0.733953i | \(-0.737673\pi\) |
0.975222 | + | 0.221228i | \(0.0710065\pi\) | |||||||
\(384\) | −18.1220 | + | 5.68536i | −0.924784 | + | 0.290130i | ||||
\(385\) | 16.5842 | + | 8.39766i | 0.845210 | + | 0.427984i | ||||
\(386\) | 11.1059 | 0.565275 | ||||||||
\(387\) | 0.252065 | + | 2.97924i | 0.0128132 | + | 0.151443i | ||||
\(388\) | −4.18924 | + | 7.25598i | −0.212677 | + | 0.368367i | ||||
\(389\) | −8.90675 | − | 15.4270i | −0.451590 | − | 0.782178i | 0.546895 | − | 0.837201i | \(-0.315810\pi\) |
−0.998485 | + | 0.0550239i | \(0.982476\pi\) | |||||||
\(390\) | 4.34831 | − | 1.36418i | 0.220185 | − | 0.0690782i | ||||
\(391\) | 3.04363 | + | 5.27172i | 0.153923 | + | 0.266602i | ||||
\(392\) | −9.86061 | − | 13.4295i | −0.498036 | − | 0.678293i | ||||
\(393\) | 7.71695 | − | 34.5749i | 0.389269 | − | 1.74407i | ||||
\(394\) | −2.70640 | −0.136346 | ||||||||
\(395\) | 1.31444 | − | 2.27668i | 0.0661369 | − | 0.114552i | ||||
\(396\) | −20.7609 | − | 9.75334i | −1.04327 | − | 0.490124i | ||||
\(397\) | −6.54229 | − | 11.3316i | −0.328348 | − | 0.568715i | 0.653836 | − | 0.756636i | \(-0.273159\pi\) |
−0.982184 | + | 0.187921i | \(0.939825\pi\) | |||||||
\(398\) | −8.47348 | + | 14.6765i | −0.424737 | + | 0.735666i | ||||
\(399\) | 6.46221 | + | 17.2271i | 0.323515 | + | 0.862433i | ||||
\(400\) | 2.23583 | + | 3.87257i | 0.111792 | + | 0.193629i | ||||
\(401\) | −7.05165 | + | 12.2138i | −0.352143 | + | 0.609929i | −0.986625 | − | 0.163009i | \(-0.947880\pi\) |
0.634482 | + | 0.772938i | \(0.281213\pi\) | |||||||
\(402\) | −13.9448 | + | 4.37486i | −0.695503 | + | 0.218198i | ||||
\(403\) | −3.45129 | − | 5.97782i | −0.171921 | − | 0.297776i | ||||
\(404\) | −3.98161 | − | 6.89636i | −0.198093 | − | 0.343107i | ||||
\(405\) | 8.18706 | + | 9.87108i | 0.406818 | + | 0.490498i | ||||
\(406\) | −10.1143 | + | 6.60452i | −0.501966 | + | 0.327777i | ||||
\(407\) | −3.49980 | + | 6.06183i | −0.173479 | + | 0.300474i | ||||
\(408\) | −1.00550 | + | 4.50501i | −0.0497796 | + | 0.223031i | ||||
\(409\) | −2.64599 | −0.130836 | −0.0654179 | − | 0.997858i | \(-0.520838\pi\) | ||||
−0.0654179 | + | 0.997858i | \(0.520838\pi\) | |||||||
\(410\) | −0.237619 | −0.0117352 | ||||||||
\(411\) | −15.5738 | − | 14.3118i | −0.768200 | − | 0.705949i | ||||
\(412\) | −11.0183 | + | 19.0843i | −0.542835 | + | 0.940217i | ||||
\(413\) | 15.5410 | + | 7.86940i | 0.764722 | + | 0.387228i | ||||
\(414\) | 0.921719 | + | 10.8941i | 0.0453000 | + | 0.535415i | ||||
\(415\) | −10.3106 | − | 17.8585i | −0.506128 | − | 0.876639i | ||||
\(416\) | −7.94655 | − | 13.7638i | −0.389612 | − | 0.674827i | ||||
\(417\) | −3.16515 | − | 2.90866i | −0.154998 | − | 0.142438i | ||||
\(418\) | 6.63538 | − | 11.4928i | 0.324547 | − | 0.562132i | ||||
\(419\) | 16.7567 | + | 29.0235i | 0.818619 | + | 1.41789i | 0.906700 | + | 0.421776i | \(0.138593\pi\) |
−0.0880816 | + | 0.996113i | \(0.528074\pi\) | |||||||
\(420\) | −6.43220 | + | 7.82012i | −0.313859 | + | 0.381583i | ||||
\(421\) | −2.41950 | + | 4.19071i | −0.117919 | + | 0.204242i | −0.918943 | − | 0.394390i | \(-0.870956\pi\) |
0.801024 | + | 0.598633i | \(0.204289\pi\) | |||||||
\(422\) | −2.52210 | − | 4.36841i | −0.122774 | − | 0.212651i | ||||
\(423\) | −23.3329 | + | 16.2386i | −1.13448 | + | 0.789548i | ||||
\(424\) | 0.976394 | − | 1.69116i | 0.0474179 | − | 0.0821302i | ||||
\(425\) | 3.32495 | 0.161284 | ||||||||
\(426\) | 0.0891734 | − | 0.0279761i | 0.00432047 | − | 0.00135545i | ||||
\(427\) | −0.177654 | − | 0.0899575i | −0.00859726 | − | 0.00435335i | ||||
\(428\) | −5.93923 | − | 10.2871i | −0.287084 | − | 0.497244i | ||||
\(429\) | 5.12465 | − | 22.9603i | 0.247420 | − | 1.10854i | ||||
\(430\) | −0.475980 | − | 0.824422i | −0.0229538 | − | 0.0397571i | ||||
\(431\) | 17.6643 | − | 30.5954i | 0.850858 | − | 1.47373i | −0.0295774 | − | 0.999562i | \(-0.509416\pi\) |
0.880435 | − | 0.474166i | \(-0.157251\pi\) | |||||||
\(432\) | 4.78988 | − | 6.18714i | 0.230453 | − | 0.297679i | ||||
\(433\) | 5.47404 | 0.263066 | 0.131533 | − | 0.991312i | \(-0.458010\pi\) | ||||
0.131533 | + | 0.991312i | \(0.458010\pi\) | |||||||
\(434\) | −3.96485 | − | 2.00766i | −0.190319 | − | 0.0963708i | ||||
\(435\) | 12.3775 | + | 11.3745i | 0.593458 | + | 0.545367i | ||||
\(436\) | 1.31712 | − | 2.28131i | 0.0630785 | − | 0.109255i | ||||
\(437\) | 21.8282 | 1.04419 | ||||||||
\(438\) | 2.70395 | − | 12.1147i | 0.129200 | − | 0.578864i | ||||
\(439\) | 6.39812 | 0.305365 | 0.152683 | − | 0.988275i | \(-0.451209\pi\) | ||||
0.152683 | + | 0.988275i | \(0.451209\pi\) | |||||||
\(440\) | 16.7228 | 0.797229 | ||||||||
\(441\) | 19.8706 | + | 6.79392i | 0.946221 | + | 0.323520i | ||||
\(442\) | −2.06749 | −0.0983404 | ||||||||
\(443\) | −6.38682 | −0.303447 | −0.151723 | − | 0.988423i | \(-0.548482\pi\) | ||||
−0.151723 | + | 0.988423i | \(0.548482\pi\) | |||||||
\(444\) | −2.80734 | − | 2.57985i | −0.133230 | − | 0.122434i | ||||
\(445\) | −19.2735 | −0.913650 | ||||||||
\(446\) | 4.35200 | − | 7.53789i | 0.206073 | − | 0.356929i | ||||
\(447\) | 3.22817 | − | 14.4634i | 0.152687 | − | 0.684097i | ||||
\(448\) | −2.02029 | − | 1.02300i | −0.0954497 | − | 0.0483323i | ||||
\(449\) | −11.7460 | −0.554327 | −0.277163 | − | 0.960823i | \(-0.589394\pi\) | ||||
−0.277163 | + | 0.960823i | \(0.589394\pi\) | |||||||
\(450\) | 5.40502 | + | 2.53925i | 0.254795 | + | 0.119701i | ||||
\(451\) | −0.613311 | + | 1.06229i | −0.0288797 | + | 0.0500210i | ||||
\(452\) | 0.465741 | + | 0.806687i | 0.0219066 | + | 0.0379434i | ||||
\(453\) | 22.5213 | + | 20.6963i | 1.05814 | + | 0.972397i | ||||
\(454\) | 9.70859 | + | 16.8158i | 0.455647 | + | 0.789203i | ||||
\(455\) | −9.26487 | − | 4.69140i | −0.434344 | − | 0.219936i | ||||
\(456\) | 12.1874 | + | 11.1998i | 0.570727 | + | 0.524478i | ||||
\(457\) | 10.5224 | 0.492217 | 0.246108 | − | 0.969242i | \(-0.420848\pi\) | ||||
0.246108 | + | 0.969242i | \(0.420848\pi\) | |||||||
\(458\) | −5.17356 | + | 8.96087i | −0.241745 | + | 0.418714i | ||||
\(459\) | −2.20338 | − | 5.38465i | −0.102845 | − | 0.251334i | ||||
\(460\) | 6.00633 | + | 10.4033i | 0.280046 | + | 0.485055i | ||||
\(461\) | −3.54278 | + | 6.13627i | −0.165004 | + | 0.285794i | −0.936657 | − | 0.350249i | \(-0.886097\pi\) |
0.771653 | + | 0.636044i | \(0.219430\pi\) | |||||||
\(462\) | −5.31981 | − | 14.1816i | −0.247500 | − | 0.659790i | ||||
\(463\) | 16.3760 | + | 28.3641i | 0.761059 | + | 1.31819i | 0.942305 | + | 0.334755i | \(0.108654\pi\) |
−0.181246 | + | 0.983438i | \(0.558013\pi\) | |||||||
\(464\) | 5.12820 | − | 8.88230i | 0.238071 | − | 0.412350i | ||||
\(465\) | −1.34722 | + | 6.03604i | −0.0624758 | + | 0.279915i | ||||
\(466\) | −1.65789 | − | 2.87156i | −0.0768004 | − | 0.133022i | ||||
\(467\) | 1.96216 | + | 3.39856i | 0.0907978 | + | 0.157266i | 0.907847 | − | 0.419301i | \(-0.137725\pi\) |
−0.817049 | + | 0.576568i | \(0.804392\pi\) | |||||||
\(468\) | 11.5982 | + | 5.44876i | 0.536126 | + | 0.251869i | ||||
\(469\) | 29.7119 | + | 15.0450i | 1.37197 | + | 0.694716i | ||||
\(470\) | 4.52555 | − | 7.83849i | 0.208748 | − | 0.361563i | ||||
\(471\) | 10.4471 | − | 3.27753i | 0.481376 | − | 0.151021i | ||||
\(472\) | 15.6709 | 0.721310 | ||||||||
\(473\) | −4.91414 | −0.225952 | ||||||||
\(474\) | −2.04382 | + | 0.641201i | −0.0938757 | + | 0.0294513i | ||||
\(475\) | 5.96145 | − | 10.3255i | 0.273530 | − | 0.473768i | ||||
\(476\) | 3.84626 | − | 2.51155i | 0.176293 | − | 0.115117i | ||||
\(477\) | 0.207509 | + | 2.45261i | 0.00950117 | + | 0.112297i | ||||
\(478\) | 4.36878 | + | 7.56694i | 0.199823 | + | 0.346104i | ||||
\(479\) | −8.04324 | − | 13.9313i | −0.367505 | − | 0.636537i | 0.621670 | − | 0.783279i | \(-0.286455\pi\) |
−0.989175 | + | 0.146742i | \(0.953121\pi\) | |||||||
\(480\) | −3.10195 | + | 13.8979i | −0.141584 | + | 0.634350i | ||||
\(481\) | 1.95518 | − | 3.38647i | 0.0891486 | − | 0.154410i | ||||
\(482\) | −4.88755 | − | 8.46549i | −0.222622 | − | 0.385592i | ||||
\(483\) | 15.8262 | − | 19.2412i | 0.720118 | − | 0.875503i | ||||
\(484\) | 10.3216 | − | 17.8775i | 0.469162 | − | 0.812612i | ||||
\(485\) | 3.84961 | + | 6.66771i | 0.174802 | + | 0.302765i | ||||
\(486\) | 0.530435 | − | 10.4360i | 0.0240610 | − | 0.473386i | ||||
\(487\) | −1.75172 | + | 3.03407i | −0.0793781 | + | 0.137487i | −0.902982 | − | 0.429679i | \(-0.858627\pi\) |
0.823604 | + | 0.567166i | \(0.191960\pi\) | |||||||
\(488\) | −0.179138 | −0.00810921 | ||||||||
\(489\) | −10.2315 | − | 9.40242i | −0.462686 | − | 0.425192i | ||||
\(490\) | −6.64605 | + | 0.732315i | −0.300238 | + | 0.0330826i | ||||
\(491\) | −20.5546 | − | 35.6017i | −0.927618 | − | 1.60668i | −0.787296 | − | 0.616575i | \(-0.788520\pi\) |
−0.140321 | − | 0.990106i | \(-0.544814\pi\) | |||||||
\(492\) | −0.491962 | − | 0.452096i | −0.0221794 | − | 0.0203821i | ||||
\(493\) | −3.81312 | − | 6.60452i | −0.171734 | − | 0.297452i | ||||
\(494\) | −3.70689 | + | 6.42053i | −0.166781 | + | 0.288873i | ||||
\(495\) | −17.3007 | + | 12.0405i | −0.777609 | + | 0.541180i | ||||
\(496\) | 3.77338 | 0.169430 | ||||||||
\(497\) | −0.190000 | − | 0.0962092i | −0.00852267 | − | 0.00431557i | ||||
\(498\) | −3.66015 | + | 16.3988i | −0.164015 | + | 0.734849i | ||||
\(499\) | −5.91486 | + | 10.2448i | −0.264785 | + | 0.458622i | −0.967507 | − | 0.252843i | \(-0.918634\pi\) |
0.702722 | + | 0.711465i | \(0.251968\pi\) | |||||||
\(500\) | 17.6094 | 0.787517 | ||||||||
\(501\) | 2.70466 | + | 2.48549i | 0.120835 | + | 0.111043i | ||||
\(502\) | −9.43261 | −0.420998 | ||||||||
\(503\) | 21.8595 | 0.974665 | 0.487332 | − | 0.873217i | \(-0.337970\pi\) | ||||
0.487332 | + | 0.873217i | \(0.337970\pi\) | |||||||
\(504\) | 18.7087 | − | 2.62270i | 0.833351 | − | 0.116825i | ||||
\(505\) | −7.31762 | −0.325630 | ||||||||
\(506\) | −17.9694 | −0.798837 | ||||||||
\(507\) | 2.04202 | − | 9.14901i | 0.0906892 | − | 0.406322i | ||||
\(508\) | −11.2574 | −0.499466 | ||||||||
\(509\) | −8.44831 | + | 14.6329i | −0.374465 | + | 0.648592i | −0.990247 | − | 0.139324i | \(-0.955507\pi\) |
0.615782 | + | 0.787917i | \(0.288840\pi\) | |||||||
\(510\) | 1.36396 | + | 1.25343i | 0.0603971 | + | 0.0555029i | ||||
\(511\) | −23.6836 | + | 15.4651i | −1.04770 | + | 0.684135i | ||||
\(512\) | 15.8563 | 0.700756 | ||||||||
\(513\) | −20.6724 | − | 2.81186i | −0.912710 | − | 0.124147i | ||||
\(514\) | 2.80271 | − | 4.85444i | 0.123622 | − | 0.214120i | ||||
\(515\) | 10.1250 | + | 17.5371i | 0.446163 | + | 0.772777i | ||||
\(516\) | 0.583092 | − | 2.61247i | 0.0256692 | − | 0.115008i | ||||
\(517\) | −23.3615 | − | 40.4633i | −1.02744 | − | 1.77957i | ||||
\(518\) | −0.138081 | − | 2.51387i | −0.00606695 | − | 0.110453i | ||||
\(519\) | −30.2234 | + | 9.48190i | −1.32666 | + | 0.416209i | ||||
\(520\) | −9.34230 | −0.409687 | ||||||||
\(521\) | −17.2466 | + | 29.8720i | −0.755587 | + | 1.30872i | 0.189495 | + | 0.981882i | \(0.439315\pi\) |
−0.945082 | + | 0.326834i | \(0.894018\pi\) | |||||||
\(522\) | −1.15475 | − | 13.6483i | −0.0505420 | − | 0.597371i | ||||
\(523\) | 0.995615 | + | 1.72445i | 0.0435352 | + | 0.0754051i | 0.886972 | − | 0.461823i | \(-0.152805\pi\) |
−0.843437 | + | 0.537229i | \(0.819471\pi\) | |||||||
\(524\) | −15.8577 | + | 27.4664i | −0.692749 | + | 1.19988i | ||||
\(525\) | −4.77949 | − | 12.7413i | −0.208594 | − | 0.556074i | ||||
\(526\) | −1.09622 | − | 1.89870i | −0.0477972 | − | 0.0827873i | ||||
\(527\) | 1.40287 | − | 2.42983i | 0.0611098 | − | 0.105845i | ||||
\(528\) | 9.46922 | + | 8.70189i | 0.412095 | + | 0.378701i | ||||
\(529\) | −3.27836 | − | 5.67829i | −0.142538 | − | 0.246882i | ||||
\(530\) | −0.391843 | − | 0.678693i | −0.0170206 | − | 0.0294805i | ||||
\(531\) | −16.2124 | + | 11.2831i | −0.703558 | + | 0.489644i | ||||
\(532\) | −0.903426 | − | 16.4475i | −0.0391685 | − | 0.713090i | ||||
\(533\) | 0.342629 | − | 0.593452i | 0.0148409 | − | 0.0257052i | ||||
\(534\) | 11.5632 | + | 10.6261i | 0.500387 | + | 0.459838i | ||||
\(535\) | −10.9154 | −0.471916 | ||||||||
\(536\) | 29.9602 | 1.29408 | ||||||||
\(537\) | 2.87712 | − | 12.8906i | 0.124157 | − | 0.556270i | ||||
\(538\) | −5.15720 | + | 8.93253i | −0.222343 | + | 0.385109i | ||||
\(539\) | −13.8800 | + | 31.6016i | −0.597856 | + | 1.36118i | ||||
\(540\) | −4.34817 | − | 10.6261i | −0.187115 | − | 0.457276i | ||||
\(541\) | −15.0681 | − | 26.0988i | −0.647830 | − | 1.12207i | −0.983640 | − | 0.180145i | \(-0.942343\pi\) |
0.335810 | − | 0.941930i | \(-0.390990\pi\) | |||||||
\(542\) | 2.72362 | + | 4.71745i | 0.116989 | + | 0.202632i | ||||
\(543\) | 25.6662 | − | 8.05220i | 1.10144 | − | 0.345553i | ||||
\(544\) | 3.23008 | − | 5.59466i | 0.138488 | − | 0.239869i | ||||
\(545\) | −1.21033 | − | 2.09636i | −0.0518450 | − | 0.0897982i | ||||
\(546\) | 2.97194 | + | 7.92266i | 0.127187 | + | 0.339058i | ||||
\(547\) | 7.68070 | − | 13.3034i | 0.328403 | − | 0.568810i | −0.653792 | − | 0.756674i | \(-0.726823\pi\) |
0.982195 | + | 0.187864i | \(0.0601563\pi\) | |||||||
\(548\) | 9.46800 | + | 16.3991i | 0.404453 | + | 0.700533i | ||||
\(549\) | 0.185329 | − | 0.128980i | 0.00790964 | − | 0.00550474i | ||||
\(550\) | −4.90757 | + | 8.50016i | −0.209260 | + | 0.362448i | ||||
\(551\) | −27.3469 | −1.16502 | ||||||||
\(552\) | 4.88221 | − | 21.8741i | 0.207801 | − | 0.931025i | ||||
\(553\) | 4.35472 | + | 2.20508i | 0.185182 | + | 0.0937694i | ||||
\(554\) | −4.30546 | − | 7.45728i | −0.182921 | − | 0.316829i | ||||
\(555\) | −3.34294 | + | 1.04877i | −0.141900 | + | 0.0445179i | ||||
\(556\) | 1.92423 | + | 3.33287i | 0.0816056 | + | 0.141345i | ||||
\(557\) | −11.6412 | + | 20.1631i | −0.493252 | + | 0.854338i | −0.999970 | − | 0.00777438i | \(-0.997525\pi\) |
0.506718 | + | 0.862112i | \(0.330859\pi\) | |||||||
\(558\) | 4.13615 | − | 2.87857i | 0.175097 | − | 0.121859i | ||||
\(559\) | 2.74531 | 0.116114 | ||||||||
\(560\) | 4.75339 | − | 3.10390i | 0.200867 | − | 0.131164i | ||||
\(561\) | 9.12397 | − | 2.86244i | 0.385214 | − | 0.120852i | ||||
\(562\) | −0.485375 | + | 0.840695i | −0.0204743 | + | 0.0354626i | ||||
\(563\) | 4.55885 | 0.192133 | 0.0960663 | − | 0.995375i | \(-0.469374\pi\) | ||||
0.0960663 | + | 0.995375i | \(0.469374\pi\) | |||||||
\(564\) | 24.2832 | − | 7.61830i | 1.02251 | − | 0.320788i | ||||
\(565\) | 0.855964 | 0.0360107 | ||||||||
\(566\) | −11.6896 | −0.491351 | ||||||||
\(567\) | −17.4668 | + | 16.1836i | −0.733538 | + | 0.679649i | ||||
\(568\) | −0.191588 | −0.00803885 | ||||||||
\(569\) | 18.1995 | 0.762963 | 0.381482 | − | 0.924376i | \(-0.375414\pi\) | ||||
0.381482 | + | 0.924376i | \(0.375414\pi\) | |||||||
\(570\) | 6.33800 | − | 1.98840i | 0.265470 | − | 0.0832850i | ||||
\(571\) | −17.0455 | −0.713332 | −0.356666 | − | 0.934232i | \(-0.616087\pi\) | ||||
−0.356666 | + | 0.934232i | \(0.616087\pi\) | |||||||
\(572\) | −10.5307 | + | 18.2398i | −0.440313 | + | 0.762644i | ||||
\(573\) | 24.5126 | − | 7.69027i | 1.02403 | − | 0.321266i | ||||
\(574\) | −0.0241976 | − | 0.440535i | −0.00100999 | − | 0.0183876i | ||||
\(575\) | −16.1443 | −0.673264 | ||||||||
\(576\) | 2.10757 | − | 1.46677i | 0.0878155 | − | 0.0611155i | ||||
\(577\) | −5.70473 | + | 9.88088i | −0.237491 | + | 0.411346i | −0.959994 | − | 0.280022i | \(-0.909658\pi\) |
0.722503 | + | 0.691368i | \(0.242992\pi\) | |||||||
\(578\) | 5.27764 | + | 9.14113i | 0.219521 | + | 0.380221i | ||||
\(579\) | 27.3803 | − | 8.58995i | 1.13789 | − | 0.356986i | ||||
\(580\) | −7.52485 | − | 13.0334i | −0.312452 | − | 0.541183i | ||||
\(581\) | 32.0589 | − | 20.9340i | 1.33003 | − | 0.868488i | ||||
\(582\) | 1.36657 | − | 6.12273i | 0.0566460 | − | 0.253795i | ||||
\(583\) | −4.04549 | −0.167547 | ||||||||
\(584\) | −12.7229 | + | 22.0368i | −0.526479 | + | 0.911889i | ||||
\(585\) | 9.66514 | − | 6.72649i | 0.399604 | − | 0.278106i | ||||
\(586\) | −0.603332 | − | 1.04500i | −0.0249234 | − | 0.0431686i | ||||
\(587\) | 2.52544 | − | 4.37420i | 0.104236 | − | 0.180543i | −0.809190 | − | 0.587548i | \(-0.800094\pi\) |
0.913426 | + | 0.407005i | \(0.133427\pi\) | |||||||
\(588\) | −15.1532 | − | 11.1287i | −0.624906 | − | 0.458938i | ||||
\(589\) | −5.03052 | − | 8.71312i | −0.207279 | − | 0.359018i | ||||
\(590\) | 3.14449 | − | 5.44642i | 0.129457 | − | 0.224226i | ||||
\(591\) | −6.67232 | + | 2.09329i | −0.274463 | + | 0.0861064i | ||||
\(592\) | 1.06882 | + | 1.85126i | 0.0439283 | + | 0.0760861i | ||||
\(593\) | −9.98892 | − | 17.3013i | −0.410196 | − | 0.710480i | 0.584715 | − | 0.811239i | \(-0.301206\pi\) |
−0.994911 | + | 0.100759i | \(0.967873\pi\) | |||||||
\(594\) | 17.0179 | + | 2.31477i | 0.698254 | + | 0.0949763i | ||||
\(595\) | −0.231513 | − | 4.21487i | −0.00949113 | − | 0.172793i | ||||
\(596\) | −6.63365 | + | 11.4898i | −0.271725 | + | 0.470641i | ||||
\(597\) | −9.53873 | + | 42.7371i | −0.390394 | + | 1.74911i | ||||
\(598\) | 10.0387 | 0.410513 | ||||||||
\(599\) | 4.39321 | 0.179502 | 0.0897508 | − | 0.995964i | \(-0.471393\pi\) | ||||
0.0897508 | + | 0.995964i | \(0.471393\pi\) | |||||||
\(600\) | −9.01387 | − | 8.28344i | −0.367990 | − | 0.338170i | ||||
\(601\) | 12.1778 | − | 21.0926i | 0.496743 | − | 0.860385i | −0.503250 | − | 0.864141i | \(-0.667862\pi\) |
0.999993 | + | 0.00375637i | \(0.00119569\pi\) | |||||||
\(602\) | 1.47997 | − | 0.966399i | 0.0603191 | − | 0.0393875i | ||||
\(603\) | −30.9955 | + | 21.5715i | −1.26224 | + | 0.878457i | ||||
\(604\) | −13.6917 | − | 23.7147i | −0.557107 | − | 0.964937i | ||||
\(605\) | −9.48476 | − | 16.4281i | −0.385610 | − | 0.667897i | ||||
\(606\) | 4.39022 | + | 4.03446i | 0.178340 | + | 0.163889i | ||||
\(607\) | −6.56281 | + | 11.3671i | −0.266376 | + | 0.461377i | −0.967923 | − | 0.251246i | \(-0.919160\pi\) |
0.701547 | + | 0.712623i | \(0.252493\pi\) | |||||||
\(608\) | −11.5827 | − | 20.0618i | −0.469741 | − | 0.813615i | ||||
\(609\) | −19.8274 | + | 24.1057i | −0.803447 | + | 0.976812i | ||||
\(610\) | −0.0359456 | + | 0.0622597i | −0.00145540 | + | 0.00252082i | ||||
\(611\) | 13.0510 | + | 22.6051i | 0.527988 | + | 0.914502i | ||||
\(612\) | 0.439125 | + | 5.19016i | 0.0177506 | + | 0.209800i | ||||
\(613\) | −23.2403 | + | 40.2534i | −0.938667 | + | 1.62582i | −0.170707 | + | 0.985322i | \(0.554605\pi\) |
−0.767960 | + | 0.640497i | \(0.778728\pi\) | |||||||
\(614\) | 0.713754 | 0.0288048 | ||||||||
\(615\) | −0.585823 | + | 0.183789i | −0.0236227 | + | 0.00741108i | ||||
\(616\) | 1.70295 | + | 31.0034i | 0.0686137 | + | 1.24916i | ||||
\(617\) | 14.1948 | + | 24.5862i | 0.571463 | + | 0.989803i | 0.996416 | + | 0.0845873i | \(0.0269572\pi\) |
−0.424953 | + | 0.905215i | \(0.639709\pi\) | |||||||
\(618\) | 3.59427 | − | 16.1037i | 0.144583 | − | 0.647786i | ||||
\(619\) | −15.9606 | − | 27.6446i | −0.641511 | − | 1.11113i | −0.985096 | − | 0.172008i | \(-0.944975\pi\) |
0.343585 | − | 0.939122i | \(-0.388359\pi\) | |||||||
\(620\) | 2.76843 | − | 4.79506i | 0.111183 | − | 0.192574i | ||||
\(621\) | 10.6985 | + | 26.1452i | 0.429317 | + | 1.04917i | ||||
\(622\) | −11.3482 | −0.455023 | ||||||||
\(623\) | −1.96269 | − | 35.7322i | −0.0786335 | − | 1.43158i | ||||
\(624\) | −5.29004 | − | 4.86136i | −0.211771 | − | 0.194610i | ||||
\(625\) | 0.666993 | − | 1.15527i | 0.0266797 | − | 0.0462106i | ||||
\(626\) | −5.54939 | −0.221798 | ||||||||
\(627\) | 7.46956 | − | 33.4664i | 0.298306 | − | 1.33652i | ||||
\(628\) | −9.80244 | −0.391160 | ||||||||
\(629\) | 1.58947 | 0.0633762 | ||||||||
\(630\) | 2.84253 | − | 7.02848i | 0.113249 | − | 0.280021i | ||||
\(631\) | 38.7184 | 1.54135 | 0.770677 | − | 0.637226i | \(-0.219918\pi\) | ||||
0.770677 | + | 0.637226i | \(0.219918\pi\) | |||||||
\(632\) | 4.39112 | 0.174669 | ||||||||
\(633\) | −9.59675 | − | 8.81908i | −0.381436 | − | 0.350527i | ||||
\(634\) | 4.38895 | 0.174307 | ||||||||
\(635\) | −5.17236 | + | 8.95878i | −0.205259 | + | 0.355519i | ||||
\(636\) | 0.480022 | − | 2.15068i | 0.0190341 | − | 0.0852799i | ||||
\(637\) | 7.75417 | − | 17.6544i | 0.307231 | − | 0.699492i | ||||
\(638\) | 22.5124 | 0.891276 | ||||||||
\(639\) | 0.198209 | − | 0.137944i | 0.00784101 | − | 0.00545698i | ||||
\(640\) | 7.81261 | − | 13.5318i | 0.308821 | − | 0.534893i | ||||
\(641\) | 20.2001 | + | 34.9875i | 0.797854 | + | 1.38192i | 0.921011 | + | 0.389537i | \(0.127365\pi\) |
−0.123157 | + | 0.992387i | \(0.539302\pi\) | |||||||
\(642\) | 6.54874 | + | 6.01806i | 0.258458 | + | 0.237514i | ||||
\(643\) | 6.27355 | + | 10.8661i | 0.247405 | + | 0.428517i | 0.962805 | − | 0.270198i | \(-0.0870890\pi\) |
−0.715400 | + | 0.698715i | \(0.753756\pi\) | |||||||
\(644\) | −18.6755 | + | 12.1949i | −0.735919 | + | 0.480545i | ||||
\(645\) | −1.81113 | − | 1.66437i | −0.0713132 | − | 0.0655344i | ||||
\(646\) | −3.01352 | −0.118565 | ||||||||
\(647\) | 17.2774 | − | 29.9253i | 0.679245 | − | 1.17649i | −0.295964 | − | 0.955199i | \(-0.595641\pi\) |
0.975209 | − | 0.221287i | \(-0.0710258\pi\) | |||||||
\(648\) | −7.44147 | + | 20.0870i | −0.292328 | + | 0.789091i | ||||
\(649\) | −16.2323 | − | 28.1151i | −0.637173 | − | 1.10362i | ||||
\(650\) | 2.74164 | − | 4.74866i | 0.107536 | − | 0.186258i | ||||
\(651\) | −11.3277 | − | 1.88301i | −0.443969 | − | 0.0738009i | ||||
\(652\) | 6.22019 | + | 10.7737i | 0.243602 | + | 0.421930i | ||||
\(653\) | 11.1472 | − | 19.3075i | 0.436223 | − | 0.755560i | −0.561172 | − | 0.827699i | \(-0.689649\pi\) |
0.997395 | + | 0.0721392i | \(0.0229826\pi\) | |||||||
\(654\) | −0.429654 | + | 1.92501i | −0.0168008 | + | 0.0752740i | ||||
\(655\) | 14.5721 | + | 25.2396i | 0.569379 | + | 0.986194i | ||||
\(656\) | 0.187302 | + | 0.324417i | 0.00731293 | + | 0.0126664i | ||||
\(657\) | −2.70395 | − | 31.9589i | −0.105491 | − | 1.24683i | ||||
\(658\) | 14.9931 | + | 7.59195i | 0.584490 | + | 0.295965i | ||||
\(659\) | 3.57493 | − | 6.19196i | 0.139259 | − | 0.241204i | −0.787957 | − | 0.615730i | \(-0.788861\pi\) |
0.927217 | + | 0.374526i | \(0.122194\pi\) | |||||||
\(660\) | 18.0053 | − | 5.64876i | 0.700857 | − | 0.219878i | ||||
\(661\) | 42.9060 | 1.66885 | 0.834425 | − | 0.551122i | \(-0.185800\pi\) | ||||
0.834425 | + | 0.551122i | \(0.185800\pi\) | |||||||
\(662\) | −17.9152 | −0.696294 | ||||||||
\(663\) | −5.09716 | + | 1.59912i | −0.197957 | + | 0.0621046i | ||||
\(664\) | 17.2221 | − | 29.8296i | 0.668349 | − | 1.15761i | ||||
\(665\) | −13.5043 | − | 6.83807i | −0.523672 | − | 0.265169i | ||||
\(666\) | 2.58383 | + | 1.21387i | 0.100121 | + | 0.0470365i | ||||
\(667\) | 18.5146 | + | 32.0683i | 0.716889 | + | 1.24169i | ||||
\(668\) | −1.64428 | − | 2.84798i | −0.0636191 | − | 0.110192i | ||||
\(669\) | 4.89912 | − | 21.9499i | 0.189411 | − | 0.848632i | ||||
\(670\) | 6.01177 | − | 10.4127i | 0.232255 | − | 0.402277i | ||||
\(671\) | 0.185556 | + | 0.321392i | 0.00716331 | + | 0.0124072i | ||||
\(672\) | −26.0820 | − | 4.33560i | −1.00613 | − | 0.167249i | ||||
\(673\) | −18.8270 | + | 32.6094i | −0.725729 | + | 1.25700i | 0.232944 | + | 0.972490i | \(0.425164\pi\) |
−0.958673 | + | 0.284510i | \(0.908169\pi\) | |||||||
\(674\) | −3.19188 | − | 5.52850i | −0.122947 | − | 0.212950i | ||||
\(675\) | 15.2895 | + | 2.07967i | 0.588492 | + | 0.0800465i | ||||
\(676\) | −4.19619 | + | 7.26801i | −0.161392 | + | 0.279539i | ||||
\(677\) | −26.3616 | −1.01316 | −0.506580 | − | 0.862193i | \(-0.669090\pi\) | ||||
−0.506580 | + | 0.862193i | \(0.669090\pi\) | |||||||
\(678\) | −0.513537 | − | 0.471923i | −0.0197223 | − | 0.0181241i | ||||
\(679\) | −11.9696 | + | 7.81599i | −0.459352 | + | 0.299950i | ||||
\(680\) | −1.89871 | − | 3.28866i | −0.0728121 | − | 0.126114i | ||||
\(681\) | 36.9417 | + | 33.9482i | 1.41561 | + | 1.30090i | ||||
\(682\) | 4.14122 | + | 7.17280i | 0.158575 | + | 0.274661i | ||||
\(683\) | 1.96588 | − | 3.40500i | 0.0752222 | − | 0.130289i | −0.825961 | − | 0.563728i | \(-0.809367\pi\) |
0.901183 | + | 0.433439i | \(0.142700\pi\) | |||||||
\(684\) | 16.9052 | + | 7.94198i | 0.646387 | + | 0.303669i | ||||
\(685\) | 17.4008 | 0.664850 | ||||||||
\(686\) | −2.03447 | − | 12.2469i | −0.0776765 | − | 0.467589i | ||||
\(687\) | −5.82396 | + | 26.0936i | −0.222198 | + | 0.995531i | ||||
\(688\) | −0.750378 | + | 1.29969i | −0.0286079 | + | 0.0495503i | ||||
\(689\) | 2.26004 | 0.0861006 | ||||||||
\(690\) | −6.62271 | − | 6.08604i | −0.252122 | − | 0.231692i | ||||
\(691\) | 19.9010 | 0.757072 | 0.378536 | − | 0.925587i | \(-0.376428\pi\) | ||||
0.378536 | + | 0.925587i | \(0.376428\pi\) | |||||||
\(692\) | 28.3585 | 1.07803 | ||||||||
\(693\) | −24.0843 | − | 30.8486i | −0.914887 | − | 1.17184i | ||||
\(694\) | −12.5373 | −0.475910 | ||||||||
\(695\) | 3.53645 | 0.134145 | ||||||||
\(696\) | −6.11653 | + | 27.4044i | −0.231847 | + | 1.03876i | ||||
\(697\) | 0.278541 | 0.0105505 | ||||||||
\(698\) | −10.0913 | + | 17.4787i | −0.381963 | + | 0.661579i | ||||
\(699\) | −6.30838 | − | 5.79718i | −0.238605 | − | 0.219270i | ||||
\(700\) | 0.668180 | + | 12.1647i | 0.0252548 | + | 0.459782i | ||||
\(701\) | 43.7908 | 1.65396 | 0.826979 | − | 0.562234i | \(-0.190058\pi\) | ||||
0.826979 | + | 0.562234i | \(0.190058\pi\) | |||||||
\(702\) | −9.50716 | − | 1.29316i | −0.358825 | − | 0.0488072i | ||||
\(703\) | 2.84983 | − | 4.93604i | 0.107483 | − | 0.186166i | ||||
\(704\) | 2.11016 | + | 3.65490i | 0.0795295 | + | 0.137749i | ||||
\(705\) | 5.09449 | − | 22.8252i | 0.191870 | − | 0.859648i | ||||
\(706\) | −2.09792 | − | 3.63370i | −0.0789561 | − | 0.136756i | ||||
\(707\) | −0.745180 | − | 13.5665i | −0.0280254 | − | 0.510222i | ||||
\(708\) | 16.8727 | − | 5.29343i | 0.634115 | − | 0.198939i | ||||
\(709\) | 44.6344 | 1.67628 | 0.838139 | − | 0.545457i | \(-0.183644\pi\) | ||||
0.838139 | + | 0.545457i | \(0.183644\pi\) | |||||||
\(710\) | −0.0384437 | + | 0.0665865i | −0.00144277 | + | 0.00249895i | ||||
\(711\) | −4.54286 | + | 3.16162i | −0.170371 | + | 0.118570i | ||||
\(712\) | −16.0966 | − | 27.8801i | −0.603244 | − | 1.04485i | ||||
\(713\) | −6.81163 | + | 11.7981i | −0.255097 | + | 0.441842i | ||||
\(714\) | −2.18491 | + | 2.65636i | −0.0817681 | + | 0.0994117i | ||||
\(715\) | 9.67699 | + | 16.7610i | 0.361899 | + | 0.626827i | ||||
\(716\) | −5.91227 | + | 10.2403i | −0.220952 | + | 0.382700i | ||||
\(717\) | 16.6234 | + | 15.2764i | 0.620814 | + | 0.570506i | ||||
\(718\) | −3.41705 | − | 5.91851i | −0.127523 | − | 0.220877i | ||||
\(719\) | −19.5096 | − | 33.7917i | −0.727586 | − | 1.26022i | −0.957901 | − | 0.287100i | \(-0.907309\pi\) |
0.230315 | − | 0.973116i | \(-0.426024\pi\) | |||||||
\(720\) | 0.542692 | + | 6.41425i | 0.0202249 | + | 0.239045i | ||||
\(721\) | −31.4819 | + | 20.5572i | −1.17245 | + | 0.765592i | ||||
\(722\) | 0.965081 | − | 1.67157i | 0.0359166 | − | 0.0622094i | ||||
\(723\) | −18.5974 | − | 17.0904i | −0.691645 | − | 0.635598i | ||||
\(724\) | −24.0825 | −0.895019 | ||||||||
\(725\) | 20.2259 | 0.751171 | ||||||||
\(726\) | −3.36698 | + | 15.0853i | −0.124960 | + | 0.559869i | ||||
\(727\) | −11.2554 | + | 19.4949i | −0.417439 | + | 0.723025i | −0.995681 | − | 0.0928402i | \(-0.970405\pi\) |
0.578242 | + | 0.815865i | \(0.303739\pi\) | |||||||
\(728\) | −0.951361 | − | 17.3202i | −0.0352598 | − | 0.641929i | ||||
\(729\) | −6.76407 | − | 26.1390i | −0.250521 | − | 0.968111i | ||||
\(730\) | 5.10593 | + | 8.84373i | 0.188979 | + | 0.327321i | ||||
\(731\) | 0.557951 | + | 0.966399i | 0.0206366 | + | 0.0357436i | ||||
\(732\) | −0.192877 | + | 0.0605107i | −0.00712894 | + | 0.00223654i | ||||
\(733\) | 0.448519 | − | 0.776858i | 0.0165664 | − | 0.0286939i | −0.857623 | − | 0.514278i | \(-0.828060\pi\) |
0.874190 | + | 0.485584i | \(0.161393\pi\) | |||||||
\(734\) | 9.60441 | + | 16.6353i | 0.354505 | + | 0.614021i | ||||
\(735\) | −15.8187 | + | 6.94589i | −0.583480 | + | 0.256203i | ||||
\(736\) | −15.6837 | + | 27.1649i | −0.578108 | + | 1.00131i | ||||
\(737\) | −31.0335 | − | 53.7517i | −1.14314 | − | 1.97997i | ||||
\(738\) | 0.452795 | + | 0.212720i | 0.0166676 | + | 0.00783035i | ||||
\(739\) | 1.79032 | − | 3.10092i | 0.0658578 | − | 0.114069i | −0.831216 | − | 0.555949i | \(-0.812355\pi\) |
0.897074 | + | 0.441880i | \(0.145688\pi\) | |||||||
\(740\) | 3.13667 | 0.115306 | ||||||||
\(741\) | −4.17291 | + | 18.6962i | −0.153296 | + | 0.686823i | ||||
\(742\) | 1.21836 | − | 0.795574i | 0.0447275 | − | 0.0292064i | ||||
\(743\) | −24.7964 | − | 42.9486i | −0.909691 | − | 1.57563i | −0.814493 | − | 0.580173i | \(-0.802985\pi\) |
−0.0951977 | − | 0.995458i | \(-0.530348\pi\) | |||||||
\(744\) | −9.85660 | + | 3.09228i | −0.361360 | + | 0.113369i | ||||
\(745\) | 6.09583 | + | 10.5583i | 0.223334 | + | 0.386826i | ||||
\(746\) | 5.38726 | − | 9.33101i | 0.197242 | − | 0.341633i | ||||
\(747\) | 3.66015 | + | 43.2604i | 0.133918 | + | 1.58282i | ||||
\(748\) | −8.56098 | −0.313020 | ||||||||
\(749\) | −1.11156 | − | 20.2367i | −0.0406155 | − | 0.739434i | ||||
\(750\) | −12.5804 | + | 3.94682i | −0.459373 | + | 0.144118i | ||||
\(751\) | 21.4515 | − | 37.1551i | 0.782776 | − | 1.35581i | −0.147543 | − | 0.989056i | \(-0.547136\pi\) |
0.930319 | − | 0.366752i | \(-0.119530\pi\) | |||||||
\(752\) | −14.2690 | −0.520337 | ||||||||
\(753\) | −23.2550 | + | 7.29574i | −0.847461 | + | 0.265871i | ||||
\(754\) | −12.5767 | −0.458016 | ||||||||
\(755\) | −25.1633 | −0.915786 | ||||||||
\(756\) | 19.2576 | − | 9.14340i | 0.700391 | − | 0.332542i | ||||
\(757\) | 13.8029 | 0.501677 | 0.250838 | − | 0.968029i | \(-0.419294\pi\) | ||||
0.250838 | + | 0.968029i | \(0.419294\pi\) | |||||||
\(758\) | −0.683021 | −0.0248084 | ||||||||
\(759\) | −44.3015 | + | 13.8986i | −1.60804 | + | 0.504487i | ||||
\(760\) | −13.6171 | −0.493945 | ||||||||
\(761\) | −20.3599 | + | 35.2643i | −0.738044 | + | 1.27833i | 0.215330 | + | 0.976541i | \(0.430917\pi\) |
−0.953375 | + | 0.301789i | \(0.902416\pi\) | |||||||
\(762\) | 8.04245 | − | 2.52314i | 0.291347 | − | 0.0914036i | ||||
\(763\) | 3.76330 | − | 2.45738i | 0.136241 | − | 0.0889633i | ||||
\(764\) | −23.0001 | −0.832113 | ||||||||
\(765\) | 4.33216 | + | 2.03523i | 0.156630 | + | 0.0735838i | ||||
\(766\) | 3.88342 | − | 6.72627i | 0.140313 | − | 0.243030i | ||||
\(767\) | 9.06826 | + | 15.7067i | 0.327436 | + | 0.567135i | ||||
\(768\) | −14.9768 | + | 4.69862i | −0.540428 | + | 0.169547i | ||||
\(769\) | 5.57381 | + | 9.65413i | 0.200997 | + | 0.348137i | 0.948850 | − | 0.315728i | \(-0.102249\pi\) |
−0.747853 | + | 0.663864i | \(0.768915\pi\) | |||||||
\(770\) | 11.1169 | + | 5.62922i | 0.400627 | + | 0.202863i | ||||
\(771\) | 3.15506 | − | 14.1359i | 0.113627 | − | 0.509090i | ||||
\(772\) | −25.6908 | −0.924633 | ||||||||
\(773\) | −0.462831 | + | 0.801647i | −0.0166469 | + | 0.0288332i | −0.874229 | − | 0.485514i | \(-0.838632\pi\) |
0.857582 | + | 0.514347i | \(0.171966\pi\) | |||||||
\(774\) | 0.168967 | + | 1.99708i | 0.00607341 | + | 0.0717835i | ||||
\(775\) | 3.72061 | + | 6.44428i | 0.133648 | + | 0.231485i | ||||
\(776\) | −6.43012 | + | 11.1373i | −0.230828 | + | 0.399806i | ||||
\(777\) | −2.28480 | − | 6.09087i | −0.0819668 | − | 0.218509i | ||||
\(778\) | −5.97049 | − | 10.3412i | −0.214052 | − | 0.370750i | ||||
\(779\) | 0.499408 | − | 0.865001i | 0.0178932 | − | 0.0309919i | ||||
\(780\) | −10.0588 | + | 3.15571i | −0.360162 | + | 0.112993i | ||||
\(781\) | 0.198452 | + | 0.343728i | 0.00710116 | + | 0.0122996i | ||||
\(782\) | 2.04024 | + | 3.53381i | 0.0729590 | + | 0.126369i | ||||
\(783\) | −13.4033 | − | 32.7553i | −0.478996 | − | 1.17058i | ||||
\(784\) | 6.23854 | + | 8.49648i | 0.222805 | + | 0.303446i | ||||
\(785\) | −4.50386 | + | 7.80092i | −0.160750 | + | 0.278427i | ||||
\(786\) | 5.17293 | − | 23.1767i | 0.184512 | − | 0.826684i | ||||
\(787\) | 23.0240 | 0.820716 | 0.410358 | − | 0.911925i | \(-0.365404\pi\) | ||||
0.410358 | + | 0.911925i | \(0.365404\pi\) | |||||||
\(788\) | 6.26061 | 0.223025 | ||||||||
\(789\) | −4.17116 | − | 3.83315i | −0.148497 | − | 0.136464i | ||||
\(790\) | 0.881115 | − | 1.52614i | 0.0313487 | − | 0.0542975i | ||||
\(791\) | 0.0871659 | + | 1.58692i | 0.00309926 | + | 0.0564243i | ||||
\(792\) | −31.8661 | − | 14.9705i | −1.13231 | − | 0.531955i | ||||
\(793\) | −0.103662 | − | 0.179548i | −0.00368114 | − | 0.00637593i | ||||
\(794\) | −4.38551 | − | 7.59592i | −0.155636 | − | 0.269569i | ||||
\(795\) | −1.49099 | − | 1.37017i | −0.0528798 | − | 0.0485947i | ||||
\(796\) | 19.6014 | − | 33.9505i | 0.694752 | − | 1.20335i | ||||
\(797\) | 11.3925 | + | 19.7325i | 0.403544 | + | 0.698960i | 0.994151 | − | 0.108000i | \(-0.0344447\pi\) |
−0.590606 | + | 0.806960i | \(0.701111\pi\) | |||||||
\(798\) | 4.33183 | + | 11.5479i | 0.153345 | + | 0.408790i | ||||
\(799\) | −5.30492 | + | 9.18839i | −0.187675 | + | 0.325062i | ||||
\(800\) | 8.56664 | + | 14.8379i | 0.302877 | + | 0.524598i | ||||
\(801\) | 36.7265 | + | 17.2539i | 1.29767 | + | 0.609637i | ||||
\(802\) | −4.72695 | + | 8.18732i | −0.166914 | + | 0.289104i | ||||
\(803\) | 52.7150 | 1.86027 | ||||||||
\(804\) | 32.2579 | − | 10.1202i | 1.13765 | − | 0.356912i | ||||
\(805\) | 1.12412 | + | 20.4653i | 0.0396199 | + | 0.721308i | ||||
\(806\) | −2.31352 | − | 4.00713i | −0.0814901 | − | 0.141145i | ||||
\(807\) | −5.80555 | + | 26.0110i | −0.204365 | + | 0.915632i | ||||
\(808\) | −6.11143 | − | 10.5853i | −0.214999 | − | 0.372390i | ||||
\(809\) | 6.73753 | − | 11.6697i | 0.236879 | − | 0.410286i | −0.722938 | − | 0.690913i | \(-0.757209\pi\) |
0.959817 | + | 0.280627i | \(0.0905422\pi\) | |||||||
\(810\) | 5.48805 | + | 6.61691i | 0.192830 | + | 0.232495i | ||||
\(811\) | −30.7348 | −1.07924 | −0.539622 | − | 0.841907i | \(-0.681433\pi\) | ||||
−0.539622 | + | 0.841907i | \(0.681433\pi\) | |||||||
\(812\) | 23.3971 | − | 15.2780i | 0.821077 | − | 0.536151i | ||||
\(813\) | 10.3635 | + | 9.52372i | 0.363465 | + | 0.334011i | ||||
\(814\) | −2.34603 | + | 4.06344i | −0.0822283 | + | 0.142424i | ||||
\(815\) | 11.4318 | 0.400439 | ||||||||
\(816\) | 0.636152 | − | 2.85020i | 0.0222698 | − | 0.0997769i | ||||
\(817\) | 4.00150 | 0.139995 | ||||||||
\(818\) | −1.77369 | −0.0620158 | ||||||||
\(819\) | 13.4548 | + | 17.2337i | 0.470150 | + | 0.602196i | ||||
\(820\) | 0.549675 | 0.0191955 | ||||||||
\(821\) | −16.9864 | −0.592829 | −0.296414 | − | 0.955059i | \(-0.595791\pi\) | ||||
−0.296414 | + | 0.955059i | \(0.595791\pi\) | |||||||
\(822\) | −10.4396 | − | 9.59367i | −0.364124 | − | 0.334618i | ||||
\(823\) | −18.5831 | −0.647768 | −0.323884 | − | 0.946097i | \(-0.604989\pi\) | ||||
−0.323884 | + | 0.946097i | \(0.604989\pi\) | |||||||
\(824\) | −16.9122 | + | 29.2928i | −0.589164 | + | 1.02046i | ||||
\(825\) | −5.52453 | + | 24.7520i | −0.192340 | + | 0.861754i | ||||
\(826\) | 10.4176 | + | 5.27512i | 0.362476 | + | 0.183545i | ||||
\(827\) | 14.5419 | 0.505670 | 0.252835 | − | 0.967509i | \(-0.418637\pi\) | ||||
0.252835 | + | 0.967509i | \(0.418637\pi\) | |||||||
\(828\) | −2.13218 | − | 25.2009i | −0.0740982 | − | 0.875791i | ||||
\(829\) | 4.78717 | − | 8.29161i | 0.166265 | − | 0.287980i | −0.770839 | − | 0.637030i | \(-0.780163\pi\) |
0.937104 | + | 0.349051i | \(0.113496\pi\) | |||||||
\(830\) | −6.91154 | − | 11.9711i | −0.239903 | − | 0.415524i | ||||
\(831\) | −16.3825 | − | 15.0550i | −0.568303 | − | 0.522251i | ||||
\(832\) | −1.17885 | − | 2.04183i | −0.0408693 | − | 0.0707877i | ||||
\(833\) | 7.79060 | − | 0.858431i | 0.269928 | − | 0.0297429i | ||||
\(834\) | −2.12170 | − | 1.94977i | −0.0734685 | − | 0.0675150i | ||||
\(835\) | −3.02195 | −0.104579 | ||||||||
\(836\) | −15.3494 | + | 26.5859i | −0.530869 | + | 0.919492i | ||||
\(837\) | 7.97075 | − | 10.2959i | 0.275509 | − | 0.355879i | ||||
\(838\) | 11.2326 | + | 19.4554i | 0.388023 | + | 0.672075i | ||||
\(839\) | 21.2303 | − | 36.7720i | 0.732952 | − | 1.26951i | −0.222664 | − | 0.974895i | \(-0.571475\pi\) |
0.955616 | − | 0.294615i | \(-0.0951913\pi\) | |||||||
\(840\) | −9.87288 | + | 12.0032i | −0.340647 | + | 0.414150i | ||||
\(841\) | −8.69551 | − | 15.0611i | −0.299845 | − | 0.519347i | ||||
\(842\) | −1.62187 | + | 2.80917i | −0.0558934 | + | 0.0968103i | ||||
\(843\) | −0.546395 | + | 2.44806i | −0.0188189 | + | 0.0843155i | ||||
\(844\) | 5.83428 | + | 10.1053i | 0.200824 | + | 0.347838i | ||||
\(845\) | 3.85599 | + | 6.67877i | 0.132650 | + | 0.229757i | ||||
\(846\) | −15.6408 | + | 10.8853i | −0.537742 | + | 0.374243i | ||||
\(847\) | 29.4911 | − | 19.2572i | 1.01332 | − | 0.661687i | ||||
\(848\) | −0.617738 | + | 1.06995i | −0.0212132 | + | 0.0367423i | ||||
\(849\) | −28.8194 | + | 9.04143i | −0.989079 | + | 0.310301i | ||||
\(850\) | 2.22882 | 0.0764479 | ||||||||
\(851\) | −7.71767 | −0.264558 | ||||||||
\(852\) | −0.206281 | + | 0.0647161i | −0.00706708 | + | 0.00221714i | ||||
\(853\) | 7.14039 | − | 12.3675i | 0.244482 | − | 0.423456i | −0.717504 | − | 0.696555i | \(-0.754715\pi\) |
0.961986 | + | 0.273099i | \(0.0880486\pi\) | |||||||
\(854\) | −0.119087 | − | 0.0603014i | −0.00407507 | − | 0.00206347i | ||||
\(855\) | 14.0877 | − | 9.80436i | 0.481788 | − | 0.335302i | ||||
\(856\) | −9.11621 | − | 15.7897i | −0.311586 | − | 0.539682i | ||||
\(857\) | −17.3895 | − | 30.1195i | −0.594013 | − | 1.02886i | −0.993685 | − | 0.112203i | \(-0.964209\pi\) |
0.399672 | − | 0.916658i | \(-0.369124\pi\) | |||||||
\(858\) | 3.43522 | − | 15.3911i | 0.117276 | − | 0.525442i | ||||
\(859\) | 6.32429 | − | 10.9540i | 0.215782 | − | 0.373745i | −0.737732 | − | 0.675093i | \(-0.764103\pi\) |
0.953514 | + | 0.301348i | \(0.0974366\pi\) | |||||||
\(860\) | 1.10107 | + | 1.90710i | 0.0375460 | + | 0.0650316i | ||||
\(861\) | −0.400392 | − | 1.06737i | −0.0136453 | − | 0.0363760i | ||||
\(862\) | 11.8409 | − | 20.5091i | 0.403304 | − | 0.698543i | ||||
\(863\) | 13.2398 | + | 22.9321i | 0.450690 | + | 0.780617i | 0.998429 | − | 0.0560318i | \(-0.0178448\pi\) |
−0.547739 | + | 0.836649i | \(0.684511\pi\) | |||||||
\(864\) | 18.3525 | − | 23.7062i | 0.624366 | − | 0.806501i | ||||
\(865\) | 13.0297 | − | 22.5681i | 0.443022 | − | 0.767337i | ||||
\(866\) | 3.66943 | 0.124692 | ||||||||
\(867\) | 20.0817 | + | 18.4544i | 0.682011 | + | 0.626744i | ||||
\(868\) | 9.17174 | + | 4.64424i | 0.311309 | + | 0.157636i | ||||
\(869\) | −4.54843 | − | 7.87811i | −0.154295 | − | 0.267247i | ||||
\(870\) | 8.29707 | + | 7.62472i | 0.281297 | + | 0.258502i | ||||
\(871\) | 17.3371 | + | 30.0287i | 0.587444 | + | 1.01748i | ||||
\(872\) | 2.02166 | − | 3.50162i | 0.0684621 | − | 0.118580i | ||||
\(873\) | −1.36657 | − | 16.1519i | −0.0462512 | − | 0.546658i | ||||
\(874\) | 14.6322 | 0.494941 | ||||||||
\(875\) | 26.8049 | + | 13.5730i | 0.906171 | + | 0.458852i | ||||
\(876\) | −6.25494 | + | 28.0245i | −0.211335 | + | 0.946860i | ||||
\(877\) | −14.2267 | + | 24.6414i | −0.480402 | + | 0.832081i | −0.999747 | − | 0.0224835i | \(-0.992843\pi\) |
0.519345 | + | 0.854565i | \(0.326176\pi\) | |||||||
\(878\) | 4.28887 | 0.144742 | ||||||||
\(879\) | −2.29571 | − | 2.10968i | −0.0774325 | − | 0.0711578i | ||||
\(880\) | −10.5801 | −0.356654 | ||||||||
\(881\) | −20.3637 | −0.686071 | −0.343036 | − | 0.939322i | \(-0.611455\pi\) | ||||
−0.343036 | + | 0.939322i | \(0.611455\pi\) | |||||||
\(882\) | 13.3199 | + | 4.55419i | 0.448506 | + | 0.153347i | ||||
\(883\) | 49.1950 | 1.65554 | 0.827772 | − | 0.561065i | \(-0.189608\pi\) | ||||
0.827772 | + | 0.561065i | \(0.189608\pi\) | |||||||
\(884\) | 4.78264 | 0.160858 | ||||||||
\(885\) | 3.53981 | − | 15.8597i | 0.118989 | − | 0.533117i | ||||
\(886\) | −4.28129 | −0.143833 | ||||||||
\(887\) | 2.10846 | − | 3.65196i | 0.0707952 | − | 0.122621i | −0.828455 | − | 0.560056i | \(-0.810780\pi\) |
0.899250 | + | 0.437435i | \(0.144113\pi\) | |||||||
\(888\) | −4.30902 | − | 3.95984i | −0.144601 | − | 0.132883i | ||||
\(889\) | −17.1359 | − | 8.67701i | −0.574720 | − | 0.291018i | ||||
\(890\) | −12.9196 | −0.433067 | ||||||||
\(891\) | 43.7461 | − | 7.45585i | 1.46555 | − | 0.249780i | ||||
\(892\) | −10.0673 | + | 17.4371i | −0.337078 | + | 0.583837i | ||||
\(893\) | 19.0229 | + | 32.9486i | 0.636576 | + | 1.10258i | ||||
\(894\) | 2.16395 | − | 9.69531i | 0.0723733 | − | 0.324260i | ||||
\(895\) | 5.43294 | + | 9.41013i | 0.181603 | + | 0.314546i | ||||
\(896\) | 25.8830 | + | 13.1062i | 0.864691 | + | 0.437849i | ||||
\(897\) | 24.7493 | − | 7.76453i | 0.826355 | − | 0.259250i | ||||
\(898\) | −7.87371 | −0.262749 | ||||||||
\(899\) | 8.53374 | − | 14.7809i | 0.284616 | − | 0.492970i | ||||
\(900\) | −12.5032 | − | 5.87394i | −0.416774 | − | 0.195798i | ||||
\(901\) | 0.459325 | + | 0.795574i | 0.0153023 | + | 0.0265044i | ||||
\(902\) | −0.411122 | + | 0.712084i | −0.0136889 | + | 0.0237098i | ||||
\(903\) | 2.90123 | − | 3.52724i | 0.0965468 | − | 0.117379i | ||||
\(904\) | 0.714872 | + | 1.23819i | 0.0237763 | + | 0.0411817i | ||||
\(905\) | −11.0650 | + | 19.1652i | −0.367814 | + | 0.637072i | ||||
\(906\) | 15.0968 | + | 13.8734i | 0.501556 | + | 0.460913i | ||||
\(907\) | −23.9925 | − | 41.5563i | −0.796659 | − | 1.37985i | −0.921780 | − | 0.387713i | \(-0.873265\pi\) |
0.125121 | − | 0.992142i | \(-0.460068\pi\) | |||||||
\(908\) | −22.4585 | − | 38.8993i | −0.745311 | − | 1.29092i | ||||
\(909\) | 13.9441 | + | 6.55085i | 0.462496 | + | 0.217278i | ||||
\(910\) | −6.21054 | − | 3.14480i | −0.205878 | − | 0.104249i | ||||
\(911\) | −12.8667 | + | 22.2858i | −0.426294 | + | 0.738362i | −0.996540 | − | 0.0831113i | \(-0.973514\pi\) |
0.570247 | + | 0.821474i | \(0.306848\pi\) | |||||||
\(912\) | −7.71063 | − | 7.08580i | −0.255324 | − | 0.234634i | ||||
\(913\) | −71.3565 | −2.36155 | ||||||||
\(914\) | 7.05351 | 0.233309 | ||||||||
\(915\) | −0.0404646 | + | 0.181297i | −0.00133772 | + | 0.00599348i | ||||
\(916\) | 11.9678 | − | 20.7288i | 0.395427 | − | 0.684900i | ||||
\(917\) | −45.3092 | + | 29.5863i | −1.49624 | + | 0.977024i | ||||
\(918\) | −1.47700 | − | 3.60951i | −0.0487482 | − | 0.119132i | ||||
\(919\) | 1.13478 | + | 1.96550i | 0.0374330 | + | 0.0648359i | 0.884135 | − | 0.467232i | \(-0.154749\pi\) |
−0.846702 | + | 0.532068i | \(0.821415\pi\) | |||||||
\(920\) | 9.21919 | + | 15.9681i | 0.303948 | + | 0.526453i | ||||
\(921\) | 1.75968 | − | 0.552059i | 0.0579834 | − | 0.0181910i | ||||
\(922\) | −2.37484 | + | 4.11334i | −0.0782111 | + | 0.135466i | ||||
\(923\) | −0.110866 | − | 0.192026i | −0.00364920 | − | 0.00632060i | ||||
\(924\) | 12.3061 | + | 32.8058i | 0.404841 | + | 1.07923i | ||||
\(925\) | −2.10775 | + | 3.65073i | −0.0693024 | + | 0.120035i | ||||
\(926\) | 10.9774 | + | 19.0134i | 0.360740 | + | 0.624819i | ||||
\(927\) | −3.59427 | − | 42.4819i | −0.118051 | − | 1.39529i | ||||
\(928\) | 19.6488 | − | 34.0328i | 0.645004 | − | 1.11718i | ||||
\(929\) | 45.8496 | 1.50428 | 0.752138 | − | 0.659006i | \(-0.229023\pi\) | ||||
0.752138 | + | 0.659006i | \(0.229023\pi\) | |||||||
\(930\) | −0.903084 | + | 4.04616i | −0.0296133 | + | 0.132679i | ||||
\(931\) | 11.3023 | − | 25.7326i | 0.370417 | − | 0.843352i | ||||
\(932\) | 3.83514 | + | 6.64266i | 0.125624 | + | 0.217587i | ||||
\(933\) | −27.9778 | + | 8.77739i | −0.915952 | + | 0.287359i | ||||
\(934\) | 1.31530 | + | 2.27816i | 0.0430379 | + | 0.0745438i | ||||
\(935\) | −3.93346 | + | 6.81294i | −0.128638 | + | 0.222807i | ||||
\(936\) | 17.8022 | + | 8.36337i | 0.581883 | + | 0.273365i | ||||
\(937\) | −56.2075 | −1.83622 | −0.918110 | − | 0.396325i | \(-0.870285\pi\) | ||||
−0.918110 | + | 0.396325i | \(0.870285\pi\) | |||||||
\(938\) | 19.9169 | + | 10.0852i | 0.650309 | + | 0.329293i | ||||
\(939\) | −13.6814 | + | 4.29222i | −0.446475 | + | 0.140071i | ||||
\(940\) | −10.4688 | + | 18.1325i | −0.341454 | + | 0.591416i | ||||
\(941\) | −35.2803 | −1.15011 | −0.575053 | − | 0.818116i | \(-0.695018\pi\) | ||||
−0.575053 | + | 0.818116i | \(0.695018\pi\) | |||||||
\(942\) | 7.00302 | − | 2.19704i | 0.228171 | − | 0.0715833i | ||||
\(943\) | −1.35246 | −0.0440421 | ||||||||
\(944\) | −9.91453 | −0.322691 | ||||||||
\(945\) | 1.57170 | − | 19.5265i | 0.0511274 | − | 0.635197i | ||||
\(946\) | −3.29411 | −0.107101 | ||||||||
\(947\) | −50.7130 | −1.64795 | −0.823976 | − | 0.566625i | \(-0.808249\pi\) | ||||
−0.823976 | + | 0.566625i | \(0.808249\pi\) | |||||||
\(948\) | 4.72788 | − | 1.48327i | 0.153554 | − | 0.0481742i | ||||
\(949\) | −29.4495 | −0.955972 | ||||||||
\(950\) | 3.99615 | − | 6.92154i | 0.129652 | − | 0.224564i | ||||
\(951\) | 10.8204 | − | 3.39467i | 0.350877 | − | 0.110080i | ||||
\(952\) | 5.90367 | − | 3.85501i | 0.191339 | − | 0.124942i | ||||
\(953\) | 25.9988 | 0.842184 | 0.421092 | − | 0.907018i | \(-0.361647\pi\) | ||||
0.421092 | + | 0.907018i | \(0.361647\pi\) | |||||||
\(954\) | 0.139100 | + | 1.64407i | 0.00450352 | + | 0.0532286i | ||||
\(955\) | −10.5677 | + | 18.3038i | −0.341962 | + | 0.592296i | ||||
\(956\) | −10.1061 | − | 17.5043i | −0.326855 | − | 0.566130i | ||||
\(957\) | 55.5019 | − | 17.4124i | 1.79412 | − | 0.562864i | ||||
\(958\) | −5.39165 | − | 9.33861i | −0.174196 | − | 0.301717i | ||||
\(959\) | 1.77199 | + | 32.2603i | 0.0572204 | + | 1.04174i | ||||
\(960\) | −0.460166 | + | 2.06172i | −0.0148518 | + | 0.0665417i | ||||
\(961\) | −24.7208 | −0.797445 | ||||||||
\(962\) | 1.31062 | − | 2.27006i | 0.0422562 | − | 0.0731898i | ||||
\(963\) | 20.7999 | + | 9.77167i | 0.670267 | + | 0.314888i | ||||
\(964\) | 11.3062 | + | 19.5829i | 0.364148 | + | 0.630722i | ||||
\(965\) | −11.8040 | + | 20.4451i | −0.379984 | + | 0.658152i | ||||
\(966\) | 10.6088 | − | 12.8980i | 0.341334 | − | 0.414985i | ||||
\(967\) | −12.9810 | − | 22.4838i | −0.417442 | − | 0.723031i | 0.578239 | − | 0.815867i | \(-0.303740\pi\) |
−0.995681 | + | 0.0928360i | \(0.970407\pi\) | |||||||
\(968\) | 15.8427 | − | 27.4404i | 0.509204 | − | 0.881967i | ||||
\(969\) | −7.42950 | + | 2.33083i | −0.238670 | + | 0.0748772i | ||||
\(970\) | 2.58052 | + | 4.46959i | 0.0828554 | + | 0.143510i | ||||
\(971\) | −3.97206 | − | 6.87981i | −0.127469 | − | 0.220783i | 0.795226 | − | 0.606313i | \(-0.207352\pi\) |
−0.922696 | + | 0.385530i | \(0.874019\pi\) | |||||||
\(972\) | −1.22703 | + | 24.1411i | −0.0393572 | + | 0.774327i | ||||
\(973\) | 0.360130 | + | 6.55643i | 0.0115452 | + | 0.210189i | ||||
\(974\) | −1.17424 | + | 2.03384i | −0.0376249 | + | 0.0651683i | ||||
\(975\) | 3.08631 | − | 13.8278i | 0.0988411 | − | 0.442845i | ||||
\(976\) | 0.113336 | 0.00362779 | ||||||||
\(977\) | −52.2548 | −1.67178 | −0.835889 | − | 0.548898i | \(-0.815048\pi\) | ||||
−0.835889 | + | 0.548898i | \(0.815048\pi\) | |||||||
\(978\) | −6.85853 | − | 6.30275i | −0.219312 | − | 0.201540i | ||||
\(979\) | −33.3464 | + | 57.7577i | −1.06576 | + | 1.84594i | ||||
\(980\) | 15.3740 | − | 1.69404i | 0.491106 | − | 0.0541140i | ||||
\(981\) | 0.429654 | + | 5.07822i | 0.0137178 | + | 0.162135i | ||||
\(982\) | −13.7784 | − | 23.8650i | −0.439688 | − | 0.761562i | ||||
\(983\) | 19.4190 | + | 33.6346i | 0.619369 | + | 1.07278i | 0.989601 | + | 0.143839i | \(0.0459448\pi\) |
−0.370232 | + | 0.928939i | \(0.620722\pi\) | |||||||
\(984\) | −0.755120 | − | 0.693929i | −0.0240723 | − | 0.0221216i | ||||
\(985\) | 2.87652 | − | 4.98228i | 0.0916535 | − | 0.158749i | ||||
\(986\) | −2.55606 | − | 4.42722i | −0.0814015 | − | 0.140991i | ||||
\(987\) | 42.8357 | + | 7.12058i | 1.36348 | + | 0.226651i | ||||
\(988\) | 8.57501 | − | 14.8524i | 0.272807 | − | 0.472516i | ||||
\(989\) | −2.70914 | − | 4.69236i | −0.0861455 | − | 0.149208i | ||||
\(990\) | −11.5972 | + | 8.07113i | −0.368584 | + | 0.256517i | ||||
\(991\) | −15.4689 | + | 26.7929i | −0.491385 | + | 0.851104i | −0.999951 | − | 0.00991892i | \(-0.996843\pi\) |
0.508565 | + | 0.861023i | \(0.330176\pi\) | |||||||
\(992\) | 14.4578 | 0.459036 | ||||||||
\(993\) | −44.1679 | + | 13.8567i | −1.40163 | + | 0.439728i | ||||
\(994\) | −0.127363 | − | 0.0644922i | −0.00403972 | − | 0.00204557i | ||||
\(995\) | −18.0122 | − | 31.1981i | −0.571025 | − | 0.989045i | ||||
\(996\) | 8.46687 | − | 37.9348i | 0.268283 | − | 1.20201i | ||||
\(997\) | −23.5335 | − | 40.7612i | −0.745313 | − | 1.29092i | −0.950048 | − | 0.312103i | \(-0.898967\pi\) |
0.204735 | − | 0.978817i | \(-0.434367\pi\) | |||||||
\(998\) | −3.96492 | + | 6.86745i | −0.125507 | + | 0.217385i | ||||
\(999\) | 7.30902 | + | 0.994170i | 0.231247 | + | 0.0314542i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))