Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [363,2,Mod(161,363)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(363, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("363.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 363 = 3 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 363.f (of order \(10\), degree \(4\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89856959337\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 215.1 | ||
Root | \(0.951057 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 363.215 |
Dual form | 363.2.f.e.233.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/363\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(244\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.363271 | − | 1.11803i | −0.256872 | − | 0.790569i | −0.993455 | − | 0.114223i | \(-0.963562\pi\) |
0.736584 | − | 0.676347i | \(-0.236438\pi\) | |||||||
\(3\) | −0.451057 | + | 1.67229i | −0.260418 | + | 0.965496i | ||||
\(4\) | 0.500000 | − | 0.363271i | 0.250000 | − | 0.181636i | ||||
\(5\) | −0.363271 | − | 0.118034i | −0.162460 | − | 0.0527864i | 0.226658 | − | 0.973974i | \(-0.427220\pi\) |
−0.389118 | + | 0.921188i | \(0.627220\pi\) | |||||||
\(6\) | 2.03353 | − | 0.103198i | 0.830186 | − | 0.0421303i | ||||
\(7\) | −1.80902 | − | 2.48990i | −0.683744 | − | 0.941093i | 0.316227 | − | 0.948684i | \(-0.397584\pi\) |
−0.999971 | + | 0.00759045i | \(0.997584\pi\) | |||||||
\(8\) | −2.48990 | − | 1.80902i | −0.880312 | − | 0.639584i | ||||
\(9\) | −2.59310 | − | 1.50859i | −0.864365 | − | 0.502864i | ||||
\(10\) | 0.449028i | 0.141995i | ||||||||
\(11\) | 0 | 0 | ||||||||
\(12\) | 0.381966 | + | 1.00000i | 0.110264 | + | 0.288675i | ||||
\(13\) | −0.690983 | + | 0.224514i | −0.191644 | + | 0.0622690i | −0.403267 | − | 0.915083i | \(-0.632125\pi\) |
0.211622 | + | 0.977351i | \(0.432125\pi\) | |||||||
\(14\) | −2.12663 | + | 2.92705i | −0.568365 | + | 0.782287i | ||||
\(15\) | 0.361243 | − | 0.554254i | 0.0932725 | − | 0.143108i | ||||
\(16\) | −0.736068 | + | 2.26538i | −0.184017 | + | 0.566346i | ||||
\(17\) | 1.31433 | − | 4.04508i | 0.318771 | − | 0.981077i | −0.655403 | − | 0.755279i | \(-0.727501\pi\) |
0.974174 | − | 0.225798i | \(-0.0724989\pi\) | |||||||
\(18\) | −0.744661 | + | 3.44720i | −0.175518 | + | 0.812512i | ||||
\(19\) | 1.54508 | − | 2.12663i | 0.354467 | − | 0.487882i | −0.594130 | − | 0.804369i | \(-0.702504\pi\) |
0.948597 | + | 0.316487i | \(0.102504\pi\) | |||||||
\(20\) | −0.224514 | + | 0.0729490i | −0.0502029 | + | 0.0163119i | ||||
\(21\) | 4.97980 | − | 1.90211i | 1.08668 | − | 0.415075i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 6.23607i | − | 1.30031i | −0.759802 | − | 0.650155i | \(-0.774704\pi\) | ||
0.759802 | − | 0.650155i | \(-0.225296\pi\) | |||||||
\(24\) | 4.14828 | − | 3.34786i | 0.846765 | − | 0.683379i | ||||
\(25\) | −3.92705 | − | 2.85317i | −0.785410 | − | 0.570634i | ||||
\(26\) | 0.502029 | + | 0.690983i | 0.0984559 | + | 0.135513i | ||||
\(27\) | 3.69244 | − | 3.65594i | 0.710610 | − | 0.703587i | ||||
\(28\) | −1.80902 | − | 0.587785i | −0.341872 | − | 0.111081i | ||||
\(29\) | −1.90211 | + | 1.38197i | −0.353214 | + | 0.256625i | −0.750216 | − | 0.661193i | \(-0.770050\pi\) |
0.397002 | + | 0.917818i | \(0.370050\pi\) | |||||||
\(30\) | −0.750904 | − | 0.202537i | −0.137096 | − | 0.0369780i | ||||
\(31\) | 1.80902 | + | 5.56758i | 0.324909 | + | 0.999967i | 0.971482 | + | 0.237115i | \(0.0762017\pi\) |
−0.646573 | + | 0.762852i | \(0.723798\pi\) | |||||||
\(32\) | −3.35520 | −0.593121 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.00000 | −0.857493 | ||||||||
\(35\) | 0.363271 | + | 1.11803i | 0.0614041 | + | 0.188982i | ||||
\(36\) | −1.84458 | + | 0.187701i | −0.307429 | + | 0.0312835i | ||||
\(37\) | −2.42705 | + | 1.76336i | −0.399005 | + | 0.289894i | −0.769135 | − | 0.639086i | \(-0.779313\pi\) |
0.370131 | + | 0.928980i | \(0.379313\pi\) | |||||||
\(38\) | −2.93893 | − | 0.954915i | −0.476757 | − | 0.154908i | ||||
\(39\) | −0.0637797 | − | 1.25679i | −0.0102129 | − | 0.201248i | ||||
\(40\) | 0.690983 | + | 0.951057i | 0.109254 | + | 0.150375i | ||||
\(41\) | 0.587785 | + | 0.427051i | 0.0917966 | + | 0.0666942i | 0.632737 | − | 0.774367i | \(-0.281931\pi\) |
−0.540940 | + | 0.841061i | \(0.681931\pi\) | |||||||
\(42\) | −3.93564 | − | 4.87660i | −0.607283 | − | 0.752476i | ||||
\(43\) | 6.88191i | 1.04948i | 0.851262 | + | 0.524741i | \(0.175838\pi\) | ||||
−0.851262 | + | 0.524741i | \(0.824162\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.763932 | + | 0.854102i | 0.113880 | + | 0.127322i | ||||
\(46\) | −6.97214 | + | 2.26538i | −1.02799 | + | 0.334013i | ||||
\(47\) | 4.89404 | − | 6.73607i | 0.713869 | − | 0.982556i | −0.285836 | − | 0.958279i | \(-0.592271\pi\) |
0.999705 | − | 0.0242780i | \(-0.00772869\pi\) | |||||||
\(48\) | −3.45637 | − | 2.25273i | −0.498884 | − | 0.325154i | ||||
\(49\) | −0.763932 | + | 2.35114i | −0.109133 | + | 0.335877i | ||||
\(50\) | −1.76336 | + | 5.42705i | −0.249376 | + | 0.767501i | ||||
\(51\) | 6.17171 | + | 4.02250i | 0.864213 | + | 0.563262i | ||||
\(52\) | −0.263932 | + | 0.363271i | −0.0366008 | + | 0.0503767i | ||||
\(53\) | 1.76336 | − | 0.572949i | 0.242216 | − | 0.0787006i | −0.185394 | − | 0.982664i | \(-0.559356\pi\) |
0.427609 | + | 0.903964i | \(0.359356\pi\) | |||||||
\(54\) | −5.42882 | − | 2.80017i | −0.738769 | − | 0.381055i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.47214i | 1.26577i | ||||||||
\(57\) | 2.85941 | + | 3.54306i | 0.378738 | + | 0.469289i | ||||
\(58\) | 2.23607 | + | 1.62460i | 0.293610 | + | 0.213320i | ||||
\(59\) | 0.224514 | + | 0.309017i | 0.0292292 | + | 0.0402306i | 0.823381 | − | 0.567488i | \(-0.192085\pi\) |
−0.794152 | + | 0.607719i | \(0.792085\pi\) | |||||||
\(60\) | −0.0207233 | − | 0.408356i | −0.00267536 | − | 0.0527186i | ||||
\(61\) | −2.50000 | − | 0.812299i | −0.320092 | − | 0.104004i | 0.144564 | − | 0.989495i | \(-0.453822\pi\) |
−0.464656 | + | 0.885491i | \(0.653822\pi\) | |||||||
\(62\) | 5.56758 | − | 4.04508i | 0.707084 | − | 0.513726i | ||||
\(63\) | 0.934712 | + | 9.18562i | 0.117763 | + | 1.15728i | ||||
\(64\) | 2.69098 | + | 8.28199i | 0.336373 | + | 1.03525i | ||||
\(65\) | 0.277515 | 0.0344214 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.32624 | 0.895042 | 0.447521 | − | 0.894273i | \(-0.352307\pi\) | ||||
0.447521 | + | 0.894273i | \(0.352307\pi\) | |||||||
\(68\) | −0.812299 | − | 2.50000i | −0.0985058 | − | 0.303170i | ||||
\(69\) | 10.4285 | + | 2.81282i | 1.25544 | + | 0.338624i | ||||
\(70\) | 1.11803 | − | 0.812299i | 0.133631 | − | 0.0970883i | ||||
\(71\) | 5.06555 | + | 1.64590i | 0.601171 | + | 0.195332i | 0.593762 | − | 0.804640i | \(-0.297642\pi\) |
0.00740814 | + | 0.999973i | \(0.497642\pi\) | |||||||
\(72\) | 3.72747 | + | 8.44720i | 0.439287 | + | 0.995512i | ||||
\(73\) | −5.52786 | − | 7.60845i | −0.646988 | − | 0.890502i | 0.351976 | − | 0.936009i | \(-0.385510\pi\) |
−0.998964 | + | 0.0455069i | \(0.985510\pi\) | |||||||
\(74\) | 2.85317 | + | 2.07295i | 0.331674 | + | 0.240975i | ||||
\(75\) | 6.54264 | − | 5.28022i | 0.755479 | − | 0.609707i | ||||
\(76\) | − | 1.62460i | − | 0.186354i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −1.38197 | + | 0.527864i | −0.156477 | + | 0.0597688i | ||||
\(79\) | −3.78115 | + | 1.22857i | −0.425413 | + | 0.138225i | −0.513896 | − | 0.857853i | \(-0.671798\pi\) |
0.0884828 | + | 0.996078i | \(0.471798\pi\) | |||||||
\(80\) | 0.534785 | − | 0.736068i | 0.0597907 | − | 0.0822949i | ||||
\(81\) | 4.44829 | + | 7.82385i | 0.494255 | + | 0.869317i | ||||
\(82\) | 0.263932 | − | 0.812299i | 0.0291464 | − | 0.0897034i | ||||
\(83\) | −1.95511 | + | 6.01722i | −0.214602 | + | 0.660476i | 0.784580 | + | 0.620028i | \(0.212879\pi\) |
−0.999182 | + | 0.0404483i | \(0.987121\pi\) | |||||||
\(84\) | 1.79892 | − | 2.76007i | 0.196278 | − | 0.301149i | ||||
\(85\) | −0.954915 | + | 1.31433i | −0.103575 | + | 0.142559i | ||||
\(86\) | 7.69421 | − | 2.50000i | 0.829688 | − | 0.269582i | ||||
\(87\) | −1.45309 | − | 3.80423i | −0.155787 | − | 0.407856i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.527864i | 0.0559535i | 0.999609 | + | 0.0279767i | \(0.00890643\pi\) | ||||
−0.999609 | + | 0.0279767i | \(0.991094\pi\) | |||||||
\(90\) | 0.677400 | − | 1.16437i | 0.0714043 | − | 0.122736i | ||||
\(91\) | 1.80902 | + | 1.31433i | 0.189637 | + | 0.137779i | ||||
\(92\) | −2.26538 | − | 3.11803i | −0.236183 | − | 0.325078i | ||||
\(93\) | −10.1266 | + | 0.513904i | −1.05008 | + | 0.0532893i | ||||
\(94\) | −9.30902 | − | 3.02468i | −0.960152 | − | 0.311972i | ||||
\(95\) | −0.812299 | + | 0.590170i | −0.0833401 | + | 0.0605502i | ||||
\(96\) | 1.51338 | − | 5.61086i | 0.154459 | − | 0.572656i | ||||
\(97\) | −1.35410 | − | 4.16750i | −0.137488 | − | 0.423145i | 0.858481 | − | 0.512846i | \(-0.171409\pi\) |
−0.995969 | + | 0.0897009i | \(0.971409\pi\) | |||||||
\(98\) | 2.90617 | 0.293568 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.00000 | −0.300000 | ||||||||
\(101\) | 4.92680 | + | 15.1631i | 0.490235 | + | 1.50879i | 0.824254 | + | 0.566220i | \(0.191595\pi\) |
−0.334019 | + | 0.942566i | \(0.608405\pi\) | |||||||
\(102\) | 2.25528 | − | 8.36144i | 0.223306 | − | 0.827906i | ||||
\(103\) | 9.09017 | − | 6.60440i | 0.895681 | − | 0.650750i | −0.0416720 | − | 0.999131i | \(-0.513268\pi\) |
0.937353 | + | 0.348381i | \(0.113268\pi\) | |||||||
\(104\) | 2.12663 | + | 0.690983i | 0.208533 | + | 0.0677565i | ||||
\(105\) | −2.03353 | + | 0.103198i | −0.198452 | + | 0.0100711i | ||||
\(106\) | −1.28115 | − | 1.76336i | −0.124437 | − | 0.171272i | ||||
\(107\) | 10.5474 | + | 7.66312i | 1.01965 | + | 0.740822i | 0.966212 | − | 0.257749i | \(-0.0829809\pi\) |
0.0534417 | + | 0.998571i | \(0.482981\pi\) | |||||||
\(108\) | 0.518118 | − | 3.16933i | 0.0498560 | − | 0.304969i | ||||
\(109\) | − | 4.70228i | − | 0.450397i | −0.974313 | − | 0.225198i | \(-0.927697\pi\) | ||
0.974313 | − | 0.225198i | \(-0.0723030\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.85410 | − | 4.85410i | −0.175984 | − | 0.460731i | ||||
\(112\) | 6.97214 | − | 2.26538i | 0.658805 | − | 0.214059i | ||||
\(113\) | 1.20833 | − | 1.66312i | 0.113670 | − | 0.156453i | −0.748391 | − | 0.663258i | \(-0.769173\pi\) |
0.862061 | + | 0.506804i | \(0.169173\pi\) | |||||||
\(114\) | 2.92252 | − | 4.48401i | 0.273719 | − | 0.419966i | ||||
\(115\) | −0.736068 | + | 2.26538i | −0.0686387 | + | 0.211248i | ||||
\(116\) | −0.449028 | + | 1.38197i | −0.0416912 | + | 0.128312i | ||||
\(117\) | 2.13049 | + | 0.460226i | 0.196963 | + | 0.0425479i | ||||
\(118\) | 0.263932 | − | 0.363271i | 0.0242969 | − | 0.0334418i | ||||
\(119\) | −12.4495 | + | 4.04508i | −1.14124 | + | 0.370812i | ||||
\(120\) | −1.90211 | + | 0.726543i | −0.173638 | + | 0.0663240i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 3.09017i | 0.279771i | ||||||||
\(123\) | −0.979277 | + | 0.790322i | −0.0882984 | + | 0.0712610i | ||||
\(124\) | 2.92705 | + | 2.12663i | 0.262857 | + | 0.190977i | ||||
\(125\) | 2.21238 | + | 3.04508i | 0.197882 | + | 0.272361i | ||||
\(126\) | 9.93028 | − | 4.38191i | 0.884659 | − | 0.390372i | ||||
\(127\) | 12.2361 | + | 3.97574i | 1.08578 | + | 0.352790i | 0.796613 | − | 0.604490i | \(-0.206623\pi\) |
0.289163 | + | 0.957280i | \(0.406623\pi\) | |||||||
\(128\) | 2.85317 | − | 2.07295i | 0.252187 | − | 0.183225i | ||||
\(129\) | −11.5085 | − | 3.10413i | −1.01327 | − | 0.273303i | ||||
\(130\) | −0.100813 | − | 0.310271i | −0.00884189 | − | 0.0272125i | ||||
\(131\) | 10.4086 | 0.909405 | 0.454703 | − | 0.890643i | \(-0.349746\pi\) | ||||
0.454703 | + | 0.890643i | \(0.349746\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.09017 | −0.701507 | ||||||||
\(134\) | −2.66141 | − | 8.19098i | −0.229911 | − | 0.707593i | ||||
\(135\) | −1.77288 | + | 0.892266i | −0.152585 | + | 0.0767941i | ||||
\(136\) | −10.5902 | + | 7.69421i | −0.908100 | + | 0.659773i | ||||
\(137\) | −4.47777 | − | 1.45492i | −0.382562 | − | 0.124302i | 0.111422 | − | 0.993773i | \(-0.464460\pi\) |
−0.493983 | + | 0.869471i | \(0.664460\pi\) | |||||||
\(138\) | −0.643548 | − | 12.6812i | −0.0547825 | − | 1.07950i | ||||
\(139\) | 8.35410 | + | 11.4984i | 0.708586 | + | 0.975285i | 0.999826 | + | 0.0186347i | \(0.00593195\pi\) |
−0.291241 | + | 0.956650i | \(0.594068\pi\) | |||||||
\(140\) | 0.587785 | + | 0.427051i | 0.0496769 | + | 0.0360924i | ||||
\(141\) | 9.05716 | + | 11.2226i | 0.762750 | + | 0.945113i | ||||
\(142\) | − | 6.26137i | − | 0.525442i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.32624 | − | 4.76393i | 0.443853 | − | 0.396994i | ||||
\(145\) | 0.854102 | − | 0.277515i | 0.0709293 | − | 0.0230463i | ||||
\(146\) | −6.49839 | + | 8.94427i | −0.537811 | + | 0.740233i | ||||
\(147\) | −3.58721 | − | 2.33801i | −0.295868 | − | 0.192836i | ||||
\(148\) | −0.572949 | + | 1.76336i | −0.0470961 | + | 0.144947i | ||||
\(149\) | 4.02874 | − | 12.3992i | 0.330047 | − | 1.01578i | −0.639063 | − | 0.769154i | \(-0.720678\pi\) |
0.969111 | − | 0.246627i | \(-0.0793222\pi\) | |||||||
\(150\) | −8.28022 | − | 5.39675i | −0.676077 | − | 0.440642i | ||||
\(151\) | 3.29180 | − | 4.53077i | 0.267883 | − | 0.368709i | −0.653791 | − | 0.756675i | \(-0.726822\pi\) |
0.921673 | + | 0.387967i | \(0.126822\pi\) | |||||||
\(152\) | −7.69421 | + | 2.50000i | −0.624083 | + | 0.202777i | ||||
\(153\) | −9.51057 | + | 8.50651i | −0.768884 | + | 0.687710i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − | 2.23607i | − | 0.179605i | ||||||
\(156\) | −0.488446 | − | 0.605226i | −0.0391070 | − | 0.0484569i | ||||
\(157\) | −7.85410 | − | 5.70634i | −0.626826 | − | 0.455415i | 0.228473 | − | 0.973550i | \(-0.426627\pi\) |
−0.855299 | + | 0.518135i | \(0.826627\pi\) | |||||||
\(158\) | 2.74717 | + | 3.78115i | 0.218553 | + | 0.300812i | ||||
\(159\) | 0.162763 | + | 3.20727i | 0.0129079 | + | 0.254353i | ||||
\(160\) | 1.21885 | + | 0.396027i | 0.0963583 | + | 0.0313087i | ||||
\(161\) | −15.5272 | + | 11.2812i | −1.22371 | + | 0.889079i | ||||
\(162\) | 7.13140 | − | 7.81553i | 0.560295 | − | 0.614046i | ||||
\(163\) | −4.51722 | − | 13.9026i | −0.353816 | − | 1.08893i | −0.956693 | − | 0.291099i | \(-0.905979\pi\) |
0.602877 | − | 0.797834i | \(-0.294021\pi\) | |||||||
\(164\) | 0.449028 | 0.0350632 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.43769 | 0.577277 | ||||||||
\(167\) | −6.51864 | − | 20.0623i | −0.504427 | − | 1.55247i | −0.801731 | − | 0.597685i | \(-0.796087\pi\) |
0.297304 | − | 0.954783i | \(-0.403913\pi\) | |||||||
\(168\) | −15.8401 | − | 4.27247i | −1.22209 | − | 0.329628i | ||||
\(169\) | −10.0902 | + | 7.33094i | −0.776167 | + | 0.563918i | ||||
\(170\) | 1.81636 | + | 0.590170i | 0.139308 | + | 0.0452640i | ||||
\(171\) | −7.21477 | + | 3.18364i | −0.551727 | + | 0.243459i | ||||
\(172\) | 2.50000 | + | 3.44095i | 0.190623 | + | 0.262370i | ||||
\(173\) | −18.6906 | − | 13.5795i | −1.42102 | − | 1.03243i | −0.991602 | − | 0.129327i | \(-0.958718\pi\) |
−0.429419 | − | 0.903105i | \(-0.641282\pi\) | |||||||
\(174\) | −3.72539 | + | 3.00656i | −0.282421 | + | 0.227927i | ||||
\(175\) | 14.9394i | 1.12931i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.618034 | + | 0.236068i | −0.0464543 | + | 0.0177440i | ||||
\(178\) | 0.590170 | − | 0.191758i | 0.0442351 | − | 0.0143729i | ||||
\(179\) | −8.19624 | + | 11.2812i | −0.612616 | + | 0.843193i | −0.996789 | − | 0.0800678i | \(-0.974486\pi\) |
0.384174 | + | 0.923261i | \(0.374486\pi\) | |||||||
\(180\) | 0.692237 | + | 0.149536i | 0.0515963 | + | 0.0111458i | ||||
\(181\) | 2.39919 | − | 7.38394i | 0.178330 | − | 0.548844i | −0.821440 | − | 0.570295i | \(-0.806829\pi\) |
0.999770 | + | 0.0214515i | \(0.00682876\pi\) | |||||||
\(182\) | 0.812299 | − | 2.50000i | 0.0602116 | − | 0.185312i | ||||
\(183\) | 2.48604 | − | 3.81433i | 0.183773 | − | 0.281963i | ||||
\(184\) | −11.2812 | + | 15.5272i | −0.831658 | + | 1.14468i | ||||
\(185\) | 1.08981 | − | 0.354102i | 0.0801247 | − | 0.0260341i | ||||
\(186\) | 4.25325 | + | 11.1352i | 0.311864 | + | 0.816470i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 5.14590i | − | 0.375303i | ||||||
\(189\) | −15.7826 | − | 2.58012i | −1.14802 | − | 0.187676i | ||||
\(190\) | 0.954915 | + | 0.693786i | 0.0692768 | + | 0.0503326i | ||||
\(191\) | −14.2456 | − | 19.6074i | −1.03078 | − | 1.41874i | −0.904363 | − | 0.426763i | \(-0.859654\pi\) |
−0.126412 | − | 0.991978i | \(-0.540346\pi\) | |||||||
\(192\) | −15.0637 | + | 0.764452i | −1.08713 | + | 0.0551696i | ||||
\(193\) | 9.37132 | + | 3.04493i | 0.674563 | + | 0.219179i | 0.626213 | − | 0.779652i | \(-0.284604\pi\) |
0.0483493 | + | 0.998830i | \(0.484604\pi\) | |||||||
\(194\) | −4.16750 | + | 3.02786i | −0.299209 | + | 0.217388i | ||||
\(195\) | −0.125175 | + | 0.464084i | −0.00896395 | + | 0.0332338i | ||||
\(196\) | 0.472136 | + | 1.45309i | 0.0337240 | + | 0.103792i | ||||
\(197\) | −8.61251 | −0.613616 | −0.306808 | − | 0.951771i | \(-0.599261\pi\) | ||||
−0.306808 | + | 0.951771i | \(0.599261\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.23607 | 0.158511 | 0.0792553 | − | 0.996854i | \(-0.474746\pi\) | ||||
0.0792553 | + | 0.996854i | \(0.474746\pi\) | |||||||
\(200\) | 4.61653 | + | 14.2082i | 0.326438 | + | 1.00467i | ||||
\(201\) | −3.30455 | + | 12.2516i | −0.233085 | + | 0.864160i | ||||
\(202\) | 15.1631 | − | 11.0167i | 1.06687 | − | 0.775129i | ||||
\(203\) | 6.88191 | + | 2.23607i | 0.483015 | + | 0.156941i | ||||
\(204\) | 4.54711 | − | 0.230757i | 0.318362 | − | 0.0161562i | ||||
\(205\) | −0.163119 | − | 0.224514i | −0.0113927 | − | 0.0156807i | ||||
\(206\) | −10.6861 | − | 7.76393i | −0.744538 | − | 0.540939i | ||||
\(207\) | −9.40769 | + | 16.1707i | −0.653880 | + | 1.12394i | ||||
\(208\) | − | 1.73060i | − | 0.119995i | ||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0.854102 | + | 2.23607i | 0.0589386 | + | 0.154303i | ||||
\(211\) | 18.5172 | − | 6.01661i | 1.27478 | − | 0.414201i | 0.408040 | − | 0.912964i | \(-0.366212\pi\) |
0.866738 | + | 0.498764i | \(0.166212\pi\) | |||||||
\(212\) | 0.673542 | − | 0.927051i | 0.0462591 | − | 0.0636701i | ||||
\(213\) | −5.03727 | + | 7.72867i | −0.345148 | + | 0.529560i | ||||
\(214\) | 4.73607 | − | 14.5761i | 0.323751 | − | 0.996403i | ||||
\(215\) | 0.812299 | − | 2.50000i | 0.0553983 | − | 0.170499i | ||||
\(216\) | −15.8075 | + | 2.42325i | −1.07556 | + | 0.164881i | ||||
\(217\) | 10.5902 | − | 14.5761i | 0.718908 | − | 0.989491i | ||||
\(218\) | −5.25731 | + | 1.70820i | −0.356070 | + | 0.115694i | ||||
\(219\) | 15.2169 | − | 5.81234i | 1.02826 | − | 0.392762i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.09017i | 0.207867i | ||||||||
\(222\) | −4.75351 | + | 3.83630i | −0.319035 | + | 0.257476i | ||||
\(223\) | −1.42705 | − | 1.03681i | −0.0955624 | − | 0.0694301i | 0.538978 | − | 0.842320i | \(-0.318811\pi\) |
−0.634540 | + | 0.772890i | \(0.718811\pi\) | |||||||
\(224\) | 6.06961 | + | 8.35410i | 0.405543 | + | 0.558182i | ||||
\(225\) | 5.87895 | + | 13.3229i | 0.391930 | + | 0.888191i | ||||
\(226\) | −2.29837 | − | 0.746787i | −0.152886 | − | 0.0496755i | ||||
\(227\) | 11.7229 | − | 8.51722i | 0.778079 | − | 0.565308i | −0.126323 | − | 0.991989i | \(-0.540317\pi\) |
0.904402 | + | 0.426681i | \(0.140317\pi\) | |||||||
\(228\) | 2.71680 | + | 0.732786i | 0.179924 | + | 0.0485299i | ||||
\(229\) | −4.67376 | − | 14.3844i | −0.308851 | − | 0.950545i | −0.978212 | − | 0.207608i | \(-0.933432\pi\) |
0.669361 | − | 0.742937i | \(-0.266568\pi\) | |||||||
\(230\) | 2.80017 | 0.184638 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.23607 | 0.475071 | ||||||||
\(233\) | −2.99193 | − | 9.20820i | −0.196008 | − | 0.603249i | −0.999963 | − | 0.00856033i | \(-0.997275\pi\) |
0.803956 | − | 0.594689i | \(-0.202725\pi\) | |||||||
\(234\) | −0.259396 | − | 2.54914i | −0.0169573 | − | 0.166643i | ||||
\(235\) | −2.57295 | + | 1.86936i | −0.167841 | + | 0.121943i | ||||
\(236\) | 0.224514 | + | 0.0729490i | 0.0146146 | + | 0.00474858i | ||||
\(237\) | −0.349011 | − | 6.87733i | −0.0226707 | − | 0.446731i | ||||
\(238\) | 9.04508 | + | 12.4495i | 0.586306 | + | 0.806981i | ||||
\(239\) | 6.24112 | + | 4.53444i | 0.403705 | + | 0.293309i | 0.771048 | − | 0.636777i | \(-0.219733\pi\) |
−0.367344 | + | 0.930085i | \(0.619733\pi\) | |||||||
\(240\) | 0.989700 | + | 1.22632i | 0.0638848 | + | 0.0791588i | ||||
\(241\) | − | 27.8707i | − | 1.79531i | −0.440702 | − | 0.897654i | \(-0.645270\pi\) | ||
0.440702 | − | 0.897654i | \(-0.354730\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.0902 | + | 3.90983i | −0.968035 | + | 0.250816i | ||||
\(244\) | −1.54508 | + | 0.502029i | −0.0989139 | + | 0.0321391i | ||||
\(245\) | 0.555029 | − | 0.763932i | 0.0354595 | − | 0.0488058i | ||||
\(246\) | 1.23935 | + | 0.807763i | 0.0790181 | + | 0.0515011i | ||||
\(247\) | −0.590170 | + | 1.81636i | −0.0375516 | + | 0.115572i | ||||
\(248\) | 5.56758 | − | 17.1353i | 0.353542 | − | 1.08809i | ||||
\(249\) | −9.18066 | − | 5.98362i | −0.581801 | − | 0.379197i | ||||
\(250\) | 2.60081 | − | 3.57971i | 0.164490 | − | 0.226401i | ||||
\(251\) | 19.3314 | − | 6.28115i | 1.22019 | − | 0.396463i | 0.373037 | − | 0.927816i | \(-0.378316\pi\) |
0.847150 | + | 0.531354i | \(0.178316\pi\) | |||||||
\(252\) | 3.80423 | + | 4.25325i | 0.239644 | + | 0.267930i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | − | 15.1246i | − | 0.949003i | ||||||
\(255\) | −1.76721 | − | 2.18973i | −0.110667 | − | 0.137126i | ||||
\(256\) | 10.7361 | + | 7.80021i | 0.671004 | + | 0.487513i | ||||
\(257\) | 13.0903 | + | 18.0172i | 0.816549 | + | 1.12388i | 0.990280 | + | 0.139090i | \(0.0444178\pi\) |
−0.173731 | + | 0.984793i | \(0.555582\pi\) | |||||||
\(258\) | 0.710198 | + | 13.9946i | 0.0442150 | + | 0.871264i | ||||
\(259\) | 8.78115 | + | 2.85317i | 0.545634 | + | 0.177287i | ||||
\(260\) | 0.138757 | − | 0.100813i | 0.00860536 | − | 0.00625216i | ||||
\(261\) | 7.01719 | − | 0.714056i | 0.434353 | − | 0.0441990i | ||||
\(262\) | −3.78115 | − | 11.6372i | −0.233600 | − | 0.718948i | ||||
\(263\) | −9.12705 | −0.562798 | −0.281399 | − | 0.959591i | \(-0.590798\pi\) | ||||
−0.281399 | + | 0.959591i | \(0.590798\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.708204 | −0.0435046 | ||||||||
\(266\) | 2.93893 | + | 9.04508i | 0.180197 | + | 0.554590i | ||||
\(267\) | −0.882741 | − | 0.238097i | −0.0540229 | − | 0.0145713i | ||||
\(268\) | 3.66312 | − | 2.66141i | 0.223761 | − | 0.162572i | ||||
\(269\) | −17.8456 | − | 5.79837i | −1.08806 | − | 0.353533i | −0.290565 | − | 0.956855i | \(-0.593843\pi\) |
−0.797498 | + | 0.603322i | \(0.793843\pi\) | |||||||
\(270\) | 1.64162 | + | 1.65801i | 0.0999059 | + | 0.100903i | ||||
\(271\) | −9.96149 | − | 13.7108i | −0.605118 | − | 0.832873i | 0.391047 | − | 0.920371i | \(-0.372113\pi\) |
−0.996165 | + | 0.0874977i | \(0.972113\pi\) | |||||||
\(272\) | 8.19624 | + | 5.95492i | 0.496970 | + | 0.361070i | ||||
\(273\) | −3.01390 | + | 2.43236i | −0.182410 | + | 0.147213i | ||||
\(274\) | 5.53483i | 0.334371i | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 6.23607 | − | 2.38197i | 0.375367 | − | 0.143378i | ||||
\(277\) | 15.4271 | − | 5.01255i | 0.926922 | − | 0.301175i | 0.193618 | − | 0.981077i | \(-0.437978\pi\) |
0.733303 | + | 0.679902i | \(0.237978\pi\) | |||||||
\(278\) | 9.82084 | − | 13.5172i | 0.589015 | − | 0.810709i | ||||
\(279\) | 3.70826 | − | 17.1663i | 0.222008 | − | 1.02772i | ||||
\(280\) | 1.11803 | − | 3.44095i | 0.0668153 | − | 0.205636i | ||||
\(281\) | −8.22899 | + | 25.3262i | −0.490901 | + | 1.51084i | 0.332349 | + | 0.943157i | \(0.392159\pi\) |
−0.823249 | + | 0.567680i | \(0.807841\pi\) | |||||||
\(282\) | 9.25703 | − | 14.2031i | 0.551248 | − | 0.845780i | ||||
\(283\) | −12.5623 | + | 17.2905i | −0.746752 | + | 1.02782i | 0.251450 | + | 0.967870i | \(0.419093\pi\) |
−0.998202 | + | 0.0599451i | \(0.980907\pi\) | |||||||
\(284\) | 3.13068 | − | 1.01722i | 0.185772 | − | 0.0603610i | ||||
\(285\) | −0.620541 | − | 1.62460i | −0.0367577 | − | 0.0962329i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 2.23607i | − | 0.131991i | ||||||
\(288\) | 8.70035 | + | 5.06163i | 0.512673 | + | 0.298259i | ||||
\(289\) | −0.881966 | − | 0.640786i | −0.0518804 | − | 0.0376933i | ||||
\(290\) | −0.620541 | − | 0.854102i | −0.0364394 | − | 0.0501546i | ||||
\(291\) | 7.58003 | − | 0.384672i | 0.444349 | − | 0.0225499i | ||||
\(292\) | −5.52786 | − | 1.79611i | −0.323494 | − | 0.105109i | ||||
\(293\) | 11.2739 | − | 8.19098i | 0.658629 | − | 0.478522i | −0.207570 | − | 0.978220i | \(-0.566556\pi\) |
0.866200 | + | 0.499698i | \(0.166556\pi\) | |||||||
\(294\) | −1.31085 | + | 4.85995i | −0.0764501 | + | 0.283438i | ||||
\(295\) | −0.0450850 | − | 0.138757i | −0.00262495 | − | 0.00807876i | ||||
\(296\) | 9.23305 | 0.536660 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.3262 | −0.887825 | ||||||||
\(299\) | 1.40008 | + | 4.30902i | 0.0809690 | + | 0.249197i | ||||
\(300\) | 1.35317 | − | 5.01686i | 0.0781253 | − | 0.289649i | ||||
\(301\) | 17.1353 | − | 12.4495i | 0.987660 | − | 0.717577i | ||||
\(302\) | −6.26137 | − | 2.03444i | −0.360301 | − | 0.117069i | ||||
\(303\) | −27.5794 | + | 1.39960i | −1.58439 | + | 0.0804049i | ||||
\(304\) | 3.68034 | + | 5.06555i | 0.211082 | + | 0.290529i | ||||
\(305\) | 0.812299 | + | 0.590170i | 0.0465121 | + | 0.0337930i | ||||
\(306\) | 12.9655 | + | 7.54297i | 0.741187 | + | 0.431203i | ||||
\(307\) | − | 9.51057i | − | 0.542797i | −0.962467 | − | 0.271398i | \(-0.912514\pi\) | ||
0.962467 | − | 0.271398i | \(-0.0874861\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.94427 | + | 18.1803i | 0.395046 | + | 1.03424i | ||||
\(310\) | −2.50000 | + | 0.812299i | −0.141990 | + | 0.0461355i | ||||
\(311\) | 2.93893 | − | 4.04508i | 0.166651 | − | 0.229376i | −0.717521 | − | 0.696537i | \(-0.754723\pi\) |
0.884172 | + | 0.467161i | \(0.154723\pi\) | |||||||
\(312\) | −2.11475 | + | 3.24466i | −0.119724 | + | 0.183693i | ||||
\(313\) | 3.39919 | − | 10.4616i | 0.192133 | − | 0.591326i | −0.807865 | − | 0.589368i | \(-0.799377\pi\) |
0.999998 | − | 0.00195780i | \(-0.000623187\pi\) | |||||||
\(314\) | −3.52671 | + | 10.8541i | −0.199024 | + | 0.612532i | ||||
\(315\) | 0.744661 | − | 3.44720i | 0.0419569 | − | 0.194228i | ||||
\(316\) | −1.44427 | + | 1.98787i | −0.0812466 | + | 0.111826i | ||||
\(317\) | −4.02874 | + | 1.30902i | −0.226277 | + | 0.0735217i | −0.419961 | − | 0.907542i | \(-0.637956\pi\) |
0.193684 | + | 0.981064i | \(0.437956\pi\) | |||||||
\(318\) | 3.52671 | − | 1.34708i | 0.197768 | − | 0.0755407i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | − | 3.32624i | − | 0.185942i | ||||||
\(321\) | −17.5724 | + | 14.1818i | −0.980796 | + | 0.791549i | ||||
\(322\) | 18.2533 | + | 13.2618i | 1.01722 | + | 0.739051i | ||||
\(323\) | −6.57164 | − | 9.04508i | −0.365656 | − | 0.503282i | ||||
\(324\) | 5.06633 | + | 2.29599i | 0.281463 | + | 0.127555i | ||||
\(325\) | 3.35410 | + | 1.08981i | 0.186052 | + | 0.0604520i | ||||
\(326\) | −13.9026 | + | 10.1008i | −0.769992 | + | 0.559432i | ||||
\(327\) | 7.86357 | + | 2.12099i | 0.434856 | + | 0.117291i | ||||
\(328\) | −0.690983 | − | 2.12663i | −0.0381532 | − | 0.117423i | ||||
\(329\) | −25.6255 | −1.41278 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.8885 | 0.708418 | 0.354209 | − | 0.935166i | \(-0.384750\pi\) | ||||
0.354209 | + | 0.935166i | \(0.384750\pi\) | |||||||
\(332\) | 1.20833 | + | 3.71885i | 0.0663155 | + | 0.204098i | ||||
\(333\) | 8.95376 | − | 0.911119i | 0.490663 | − | 0.0499290i | ||||
\(334\) | −20.0623 | + | 14.5761i | −1.09776 | + | 0.797570i | ||||
\(335\) | −2.66141 | − | 0.864745i | −0.145408 | − | 0.0472461i | ||||
\(336\) | 0.643548 | + | 12.6812i | 0.0351084 | + | 0.691818i | ||||
\(337\) | 14.7984 | + | 20.3682i | 0.806119 | + | 1.10953i | 0.991911 | + | 0.126938i | \(0.0405150\pi\) |
−0.185792 | + | 0.982589i | \(0.559485\pi\) | |||||||
\(338\) | 11.8617 | + | 8.61803i | 0.645192 | + | 0.468759i | ||||
\(339\) | 2.23619 | + | 2.77083i | 0.121453 | + | 0.150491i | ||||
\(340\) | 1.00406i | 0.0544526i | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 6.18034 | + | 6.90983i | 0.334195 | + | 0.373641i | ||||
\(343\) | −13.2533 | + | 4.30625i | −0.715610 | + | 0.232516i | ||||
\(344\) | 12.4495 | − | 17.1353i | 0.671232 | − | 0.923871i | ||||
\(345\) | −3.45637 | − | 2.25273i | −0.186085 | − | 0.121283i | ||||
\(346\) | −8.39261 | + | 25.8298i | −0.451189 | + | 1.38862i | ||||
\(347\) | −2.24514 | + | 6.90983i | −0.120525 | + | 0.370939i | −0.993059 | − | 0.117614i | \(-0.962475\pi\) |
0.872534 | + | 0.488554i | \(0.162475\pi\) | |||||||
\(348\) | −2.10851 | − | 1.37425i | −0.113028 | − | 0.0736675i | ||||
\(349\) | 7.98936 | − | 10.9964i | 0.427660 | − | 0.588624i | −0.539754 | − | 0.841823i | \(-0.681483\pi\) |
0.967414 | + | 0.253199i | \(0.0814827\pi\) | |||||||
\(350\) | 16.7027 | − | 5.42705i | 0.892799 | − | 0.290088i | ||||
\(351\) | −1.73060 | + | 3.35520i | −0.0923726 | + | 0.179087i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 33.5967i | 1.78817i | 0.447893 | + | 0.894087i | \(0.352175\pi\) | ||||
−0.447893 | + | 0.894087i | \(0.647825\pi\) | |||||||
\(354\) | 0.488446 | + | 0.605226i | 0.0259606 | + | 0.0321674i | ||||
\(355\) | −1.64590 | − | 1.19581i | −0.0873552 | − | 0.0634673i | ||||
\(356\) | 0.191758 | + | 0.263932i | 0.0101631 | + | 0.0139884i | ||||
\(357\) | −1.14912 | − | 22.6437i | −0.0608181 | − | 1.19843i | ||||
\(358\) | 15.5902 | + | 5.06555i | 0.823966 | + | 0.267723i | ||||
\(359\) | 25.7970 | − | 18.7426i | 1.36152 | − | 0.989199i | 0.363169 | − | 0.931723i | \(-0.381695\pi\) |
0.998347 | − | 0.0574756i | \(-0.0183051\pi\) | |||||||
\(360\) | −0.357028 | − | 3.50859i | −0.0188170 | − | 0.184919i | ||||
\(361\) | 3.73607 | + | 11.4984i | 0.196635 | + | 0.605181i | ||||
\(362\) | −9.12705 | −0.479707 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.38197 | 0.0724347 | ||||||||
\(365\) | 1.11006 | + | 3.41641i | 0.0581031 | + | 0.178823i | ||||
\(366\) | −5.16765 | − | 1.39384i | −0.270118 | − | 0.0728573i | ||||
\(367\) | −19.3992 | + | 14.0943i | −1.01263 | + | 0.735718i | −0.964759 | − | 0.263135i | \(-0.915243\pi\) |
−0.0478704 | + | 0.998854i | \(0.515243\pi\) | |||||||
\(368\) | 14.1271 | + | 4.59017i | 0.736425 | + | 0.239279i | ||||
\(369\) | −0.879937 | − | 1.99411i | −0.0458077 | − | 0.103809i | ||||
\(370\) | −0.791796 | − | 1.08981i | −0.0411635 | − | 0.0566567i | ||||
\(371\) | −4.61653 | − | 3.35410i | −0.239678 | − | 0.174136i | ||||
\(372\) | −4.87660 | + | 3.93564i | −0.252840 | + | 0.204054i | ||||
\(373\) | 27.3561i | 1.41645i | 0.705989 | + | 0.708223i | \(0.250503\pi\) | ||||
−0.705989 | + | 0.708223i | \(0.749497\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −6.09017 | + | 2.32624i | −0.314495 | + | 0.120126i | ||||
\(376\) | −24.3713 | + | 7.91872i | −1.25686 | + | 0.408377i | ||||
\(377\) | 1.00406 | − | 1.38197i | 0.0517116 | − | 0.0711749i | ||||
\(378\) | 2.84870 | + | 18.5828i | 0.146521 | + | 0.955795i | ||||
\(379\) | 0.892609 | − | 2.74717i | 0.0458503 | − | 0.141113i | −0.925511 | − | 0.378722i | \(-0.876364\pi\) |
0.971361 | + | 0.237609i | \(0.0763637\pi\) | |||||||
\(380\) | −0.191758 | + | 0.590170i | −0.00983697 | + | 0.0302751i | ||||
\(381\) | −12.1677 | + | 18.6689i | −0.623372 | + | 0.956439i | ||||
\(382\) | −16.7467 | + | 23.0499i | −0.856836 | + | 1.17933i | ||||
\(383\) | 11.8087 | − | 3.83688i | 0.603397 | − | 0.196055i | 0.00864191 | − | 0.999963i | \(-0.497249\pi\) |
0.594755 | + | 0.803907i | \(0.297249\pi\) | |||||||
\(384\) | 2.17963 | + | 5.70634i | 0.111229 | + | 0.291200i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 11.5836i | − | 0.589589i | ||||||
\(387\) | 10.3820 | − | 17.8455i | 0.527747 | − | 0.907135i | ||||
\(388\) | −2.19098 | − | 1.59184i | −0.111230 | − | 0.0808136i | ||||
\(389\) | 4.33901 | + | 5.97214i | 0.219997 | + | 0.302799i | 0.904723 | − | 0.426001i | \(-0.140078\pi\) |
−0.684726 | + | 0.728801i | \(0.740078\pi\) | |||||||
\(390\) | 0.564334 | − | 0.0286389i | 0.0285762 | − | 0.00145019i | ||||
\(391\) | −25.2254 | − | 8.19624i | −1.27570 | − | 0.414502i | ||||
\(392\) | 6.15537 | − | 4.47214i | 0.310893 | − | 0.225877i | ||||
\(393\) | −4.69488 | + | 17.4062i | −0.236825 | + | 0.878027i | ||||
\(394\) | 3.12868 | + | 9.62908i | 0.157620 | + | 0.485106i | ||||
\(395\) | 1.51860 | 0.0764089 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.0000 | −1.15434 | −0.577168 | − | 0.816625i | \(-0.695842\pi\) | ||||
−0.577168 | + | 0.816625i | \(0.695842\pi\) | |||||||
\(398\) | −0.812299 | − | 2.50000i | −0.0407169 | − | 0.125314i | ||||
\(399\) | 3.64912 | − | 13.5291i | 0.182685 | − | 0.677302i | ||||
\(400\) | 9.35410 | − | 6.79615i | 0.467705 | − | 0.339808i | ||||
\(401\) | 26.4908 | + | 8.60739i | 1.32289 | + | 0.429833i | 0.883486 | − | 0.468458i | \(-0.155190\pi\) |
0.439403 | + | 0.898290i | \(0.355190\pi\) | |||||||
\(402\) | 14.8981 | − | 0.756051i | 0.743051 | − | 0.0377084i | ||||
\(403\) | −2.50000 | − | 3.44095i | −0.124534 | − | 0.171406i | ||||
\(404\) | 7.97172 | + | 5.79180i | 0.396608 | + | 0.288153i | ||||
\(405\) | −0.692457 | − | 3.36723i | −0.0344085 | − | 0.167319i | ||||
\(406\) | − | 8.50651i | − | 0.422171i | ||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −8.09017 | − | 21.1803i | −0.400523 | − | 1.04858i | ||||
\(409\) | 20.1246 | − | 6.53888i | 0.995098 | − | 0.323327i | 0.234193 | − | 0.972190i | \(-0.424755\pi\) |
0.760905 | + | 0.648863i | \(0.224755\pi\) | |||||||
\(410\) | −0.191758 | + | 0.263932i | −0.00947024 | + | 0.0130347i | ||||
\(411\) | 4.45276 | − | 6.83187i | 0.219639 | − | 0.336991i | ||||
\(412\) | 2.14590 | − | 6.60440i | 0.105721 | − | 0.325375i | ||||
\(413\) | 0.363271 | − | 1.11803i | 0.0178754 | − | 0.0550149i | ||||
\(414\) | 21.4970 | + | 4.64376i | 1.05652 | + | 0.228228i | ||||
\(415\) | 1.42047 | − | 1.95511i | 0.0697283 | − | 0.0959728i | ||||
\(416\) | 2.31838 | − | 0.753289i | 0.113668 | − | 0.0369330i | ||||
\(417\) | −22.9969 | + | 8.78402i | −1.12616 | + | 0.430155i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 0.854102i | − | 0.0417256i | −0.999782 | − | 0.0208628i | \(-0.993359\pi\) | ||
0.999782 | − | 0.0208628i | \(-0.00664132\pi\) | |||||||
\(420\) | −0.979277 | + | 0.790322i | −0.0477838 | + | 0.0385638i | ||||
\(421\) | −15.4894 | − | 11.2537i | −0.754905 | − | 0.548471i | 0.142438 | − | 0.989804i | \(-0.454506\pi\) |
−0.897343 | + | 0.441333i | \(0.854506\pi\) | |||||||
\(422\) | −13.4535 | − | 18.5172i | −0.654908 | − | 0.901404i | ||||
\(423\) | −22.8527 | + | 10.0842i | −1.11114 | + | 0.490308i | ||||
\(424\) | −5.42705 | − | 1.76336i | −0.263561 | − | 0.0856361i | ||||
\(425\) | −16.7027 | + | 12.1353i | −0.810202 | + | 0.588646i | ||||
\(426\) | 10.4708 | + | 2.82423i | 0.507313 | + | 0.136834i | ||||
\(427\) | 2.50000 | + | 7.69421i | 0.120983 | + | 0.372349i | ||||
\(428\) | 8.05748 | 0.389473 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.09017 | −0.149021 | ||||||||
\(431\) | 1.86936 | + | 5.75329i | 0.0900438 | + | 0.277126i | 0.985930 | − | 0.167157i | \(-0.0534586\pi\) |
−0.895887 | + | 0.444283i | \(0.853459\pi\) | |||||||
\(432\) | 5.56423 | + | 11.0558i | 0.267709 | + | 0.531923i | ||||
\(433\) | 4.85410 | − | 3.52671i | 0.233273 | − | 0.169483i | −0.465008 | − | 0.885307i | \(-0.653949\pi\) |
0.698281 | + | 0.715824i | \(0.253949\pi\) | |||||||
\(434\) | −20.1437 | − | 6.54508i | −0.966929 | − | 0.314174i | ||||
\(435\) | 0.0788361 | + | 1.55348i | 0.00377990 | + | 0.0744836i | ||||
\(436\) | −1.70820 | − | 2.35114i | −0.0818081 | − | 0.112599i | ||||
\(437\) | −13.2618 | − | 9.63525i | −0.634397 | − | 0.460917i | ||||
\(438\) | −12.0263 | − | 14.9016i | −0.574637 | − | 0.712024i | ||||
\(439\) | − | 2.73466i | − | 0.130518i | −0.997868 | − | 0.0652590i | \(-0.979213\pi\) | ||
0.997868 | − | 0.0652590i | \(-0.0207874\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.52786 | − | 4.94427i | 0.263232 | − | 0.235442i | ||||
\(442\) | 3.45492 | − | 1.12257i | 0.164334 | − | 0.0533952i | ||||
\(443\) | −0.898056 | + | 1.23607i | −0.0426679 | + | 0.0587274i | −0.829818 | − | 0.558034i | \(-0.811556\pi\) |
0.787150 | + | 0.616762i | \(0.211556\pi\) | |||||||
\(444\) | −2.69041 | − | 1.75351i | −0.127681 | − | 0.0832179i | ||||
\(445\) | 0.0623059 | − | 0.191758i | 0.00295358 | − | 0.00909019i | ||||
\(446\) | −0.640786 | + | 1.97214i | −0.0303421 | + | 0.0933833i | ||||
\(447\) | 18.9178 | + | 12.3299i | 0.894782 | + | 0.583187i | ||||
\(448\) | 15.7533 | − | 21.6825i | 0.744273 | − | 1.02440i | ||||
\(449\) | −26.5236 | + | 8.61803i | −1.25173 | + | 0.406710i | −0.858539 | − | 0.512749i | \(-0.828627\pi\) |
−0.393186 | + | 0.919459i | \(0.628627\pi\) | |||||||
\(450\) | 12.7598 | − | 11.4127i | 0.601501 | − | 0.537999i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | − | 1.27051i | − | 0.0597598i | ||||||
\(453\) | 6.09197 | + | 7.54846i | 0.286225 | + | 0.354658i | ||||
\(454\) | −13.7812 | − | 10.0126i | −0.646782 | − | 0.469914i | ||||
\(455\) | −0.502029 | − | 0.690983i | −0.0235355 | − | 0.0323938i | ||||
\(456\) | −0.710198 | − | 13.9946i | −0.0332581 | − | 0.655356i | ||||
\(457\) | −23.8435 | − | 7.74721i | −1.11535 | − | 0.362399i | −0.307359 | − | 0.951594i | \(-0.599445\pi\) |
−0.807991 | + | 0.589195i | \(0.799445\pi\) | |||||||
\(458\) | −14.3844 | + | 10.4508i | −0.672137 | + | 0.488336i | ||||
\(459\) | −9.93553 | − | 19.7413i | −0.463751 | − | 0.921446i | ||||
\(460\) | 0.454915 | + | 1.40008i | 0.0212105 | + | 0.0652793i | ||||
\(461\) | 30.7113 | 1.43037 | 0.715184 | − | 0.698936i | \(-0.246343\pi\) | ||||
0.715184 | + | 0.698936i | \(0.246343\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 33.2705 | 1.54621 | 0.773106 | − | 0.634277i | \(-0.218702\pi\) | ||||
0.773106 | + | 0.634277i | \(0.218702\pi\) | |||||||
\(464\) | −1.73060 | − | 5.32624i | −0.0803411 | − | 0.247264i | ||||
\(465\) | 3.73935 | + | 1.00859i | 0.173408 | + | 0.0467724i | ||||
\(466\) | −9.20820 | + | 6.69015i | −0.426562 | + | 0.309915i | ||||
\(467\) | −7.27794 | − | 2.36475i | −0.336783 | − | 0.109427i | 0.135743 | − | 0.990744i | \(-0.456658\pi\) |
−0.472526 | + | 0.881317i | \(0.656658\pi\) | |||||||
\(468\) | 1.23243 | − | 0.543831i | 0.0569691 | − | 0.0251386i | ||||
\(469\) | −13.2533 | − | 18.2416i | −0.611980 | − | 0.842318i | ||||
\(470\) | 3.02468 | + | 2.19756i | 0.139518 | + | 0.101366i | ||||
\(471\) | 13.0853 | − | 10.5604i | 0.602938 | − | 0.486599i | ||||
\(472\) | − | 1.17557i | − | 0.0541100i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −7.56231 | + | 2.88854i | −0.347348 | + | 0.132675i | ||||
\(475\) | −12.1353 | + | 3.94298i | −0.556804 | + | 0.180916i | ||||
\(476\) | −4.75528 | + | 6.54508i | −0.217958 | + | 0.299993i | ||||
\(477\) | −5.43690 | − | 1.17447i | −0.248938 | − | 0.0537755i | ||||
\(478\) | 2.80244 | − | 8.62502i | 0.128181 | − | 0.394499i | ||||
\(479\) | 6.18812 | − | 19.0451i | 0.282743 | − | 0.870192i | −0.704324 | − | 0.709879i | \(-0.748750\pi\) |
0.987066 | − | 0.160313i | \(-0.0512504\pi\) | |||||||
\(480\) | −1.21204 | + | 1.85963i | −0.0553218 | + | 0.0848802i | ||||
\(481\) | 1.28115 | − | 1.76336i | 0.0584155 | − | 0.0804021i | ||||
\(482\) | −31.1604 | + | 10.1246i | −1.41932 | + | 0.461163i | ||||
\(483\) | −11.8617 | − | 31.0543i | −0.539726 | − | 1.41302i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.67376i | 0.0760016i | ||||||||
\(486\) | 9.85315 | + | 15.4510i | 0.446948 | + | 0.700871i | ||||
\(487\) | −1.19098 | − | 0.865300i | −0.0539686 | − | 0.0392105i | 0.560474 | − | 0.828172i | \(-0.310619\pi\) |
−0.614442 | + | 0.788962i | \(0.710619\pi\) | |||||||
\(488\) | 4.75528 | + | 6.54508i | 0.215262 | + | 0.296282i | ||||
\(489\) | 25.2866 | − | 1.28325i | 1.14350 | − | 0.0580305i | ||||
\(490\) | −1.05573 | − | 0.343027i | −0.0476929 | − | 0.0154964i | ||||
\(491\) | −14.2986 | + | 10.3885i | −0.645287 | + | 0.468828i | −0.861662 | − | 0.507482i | \(-0.830576\pi\) |
0.216376 | + | 0.976310i | \(0.430576\pi\) | |||||||
\(492\) | −0.202537 | + | 0.750904i | −0.00913107 | + | 0.0338534i | ||||
\(493\) | 3.09017 | + | 9.51057i | 0.139174 | + | 0.428334i | ||||
\(494\) | 2.24514 | 0.101014 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.9443 | −0.626116 | ||||||||
\(497\) | −5.06555 | − | 15.5902i | −0.227221 | − | 0.699315i | ||||
\(498\) | −3.35482 | + | 12.4380i | −0.150333 | + | 0.557359i | ||||
\(499\) | 29.1074 | − | 21.1478i | 1.30303 | − | 0.946704i | 0.303045 | − | 0.952976i | \(-0.401997\pi\) |
0.999980 | + | 0.00627247i | \(0.00199660\pi\) | |||||||
\(500\) | 2.21238 | + | 0.718847i | 0.0989408 | + | 0.0321478i | ||||
\(501\) | 36.4902 | − | 1.85181i | 1.63026 | − | 0.0827327i | ||||
\(502\) | −14.0451 | − | 19.3314i | −0.626863 | − | 0.862803i | ||||
\(503\) | 6.88191 | + | 5.00000i | 0.306849 | + | 0.222939i | 0.730543 | − | 0.682866i | \(-0.239267\pi\) |
−0.423694 | + | 0.905805i | \(0.639267\pi\) | |||||||
\(504\) | 14.2896 | − | 24.5622i | 0.636509 | − | 1.09409i | ||||
\(505\) | − | 6.08985i | − | 0.270995i | ||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.70820 | − | 20.1803i | −0.342333 | − | 0.896240i | ||||
\(508\) | 7.56231 | − | 2.45714i | 0.335523 | − | 0.109018i | ||||
\(509\) | −19.5559 | + | 26.9164i | −0.866801 | + | 1.19305i | 0.113104 | + | 0.993583i | \(0.463921\pi\) |
−0.979905 | + | 0.199466i | \(0.936079\pi\) | |||||||
\(510\) | −1.80621 | + | 2.77127i | −0.0799805 | + | 0.122714i | ||||
\(511\) | −8.94427 | + | 27.5276i | −0.395671 | + | 1.21775i | ||||
\(512\) | 7.00042 | − | 21.5451i | 0.309378 | − | 0.952167i | ||||
\(513\) | −2.06970 | − | 13.5012i | −0.0913796 | − | 0.596091i | ||||
\(514\) | 15.3885 | − | 21.1805i | 0.678760 | − | 0.934232i | ||||
\(515\) | −4.08174 | + | 1.32624i | −0.179863 | + | 0.0584410i | ||||
\(516\) | −6.88191 | + | 2.62866i | −0.302959 | + | 0.115720i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 10.8541i | − | 0.476902i | ||||||
\(519\) | 31.1394 | − | 25.1310i | 1.36687 | − | 1.10313i | ||||
\(520\) | −0.690983 | − | 0.502029i | −0.0303016 | − | 0.0220154i | ||||
\(521\) | 19.8132 | + | 27.2705i | 0.868031 | + | 1.19474i | 0.979594 | + | 0.200985i | \(0.0644144\pi\) |
−0.111563 | + | 0.993757i | \(0.535586\pi\) | |||||||
\(522\) | −3.34748 | − | 7.58606i | −0.146515 | − | 0.332033i | ||||
\(523\) | 19.3713 | + | 6.29412i | 0.847049 | + | 0.275223i | 0.700209 | − | 0.713938i | \(-0.253090\pi\) |
0.146839 | + | 0.989160i | \(0.453090\pi\) | |||||||
\(524\) | 5.20431 | − | 3.78115i | 0.227351 | − | 0.165180i | ||||
\(525\) | −24.9830 | − | 6.73851i | −1.09035 | − | 0.294093i | ||||
\(526\) | 3.31559 | + | 10.2044i | 0.144567 | + | 0.444931i | ||||
\(527\) | 24.8990 | 1.08462 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.8885 | −0.690806 | ||||||||
\(530\) | 0.257270 | + | 0.791796i | 0.0111751 | + | 0.0343934i | ||||
\(531\) | −0.116005 | − | 1.14001i | −0.00503421 | − | 0.0494723i | ||||
\(532\) | −4.04508 | + | 2.93893i | −0.175377 | + | 0.127419i | ||||
\(533\) | −0.502029 | − | 0.163119i | −0.0217453 | − | 0.00706547i | ||||
\(534\) | 0.0544744 | + | 1.07343i | 0.00235734 | + | 0.0464518i | ||||
\(535\) | −2.92705 | − | 4.02874i | −0.126547 | − | 0.174178i | ||||
\(536\) | −18.2416 | − | 13.2533i | −0.787917 | − | 0.572455i | ||||
\(537\) | −15.1684 | − | 18.7949i | −0.654564 | − | 0.811060i | ||||
\(538\) | 22.0583i | 0.951002i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −0.562306 | + | 1.09017i | −0.0241978 | + | 0.0469134i | ||||
\(541\) | −14.5344 | + | 4.72253i | −0.624884 | + | 0.203037i | −0.604308 | − | 0.796751i | \(-0.706550\pi\) |
−0.0205767 | + | 0.999788i | \(0.506550\pi\) | |||||||
\(542\) | −11.7104 | + | 16.1180i | −0.503006 | + | 0.692329i | ||||
\(543\) | 11.2659 | + | 7.34271i | 0.483466 | + | 0.315106i | ||||
\(544\) | −4.40983 | + | 13.5721i | −0.189070 | + | 0.581897i | ||||
\(545\) | −0.555029 | + | 1.70820i | −0.0237748 | + | 0.0731714i | ||||
\(546\) | 3.81433 | + | 2.48604i | 0.163238 | + | 0.106393i | ||||
\(547\) | −15.7918 | + | 21.7355i | −0.675208 | + | 0.929345i | −0.999864 | − | 0.0164876i | \(-0.994752\pi\) |
0.324656 | + | 0.945832i | \(0.394752\pi\) | |||||||
\(548\) | −2.76741 | + | 0.899187i | −0.118218 | + | 0.0384114i | ||||
\(549\) | 5.25731 | + | 5.87785i | 0.224377 | + | 0.250861i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.18034i | 0.263291i | ||||||||
\(552\) | −20.8775 | − | 25.8690i | −0.888604 | − | 1.10106i | ||||
\(553\) | 9.89919 | + | 7.19218i | 0.420956 | + | 0.305843i | ||||
\(554\) | −11.2084 | − | 15.4271i | −0.476200 | − | 0.655433i | ||||
\(555\) | 0.100593 | + | 1.98220i | 0.00426993 | + | 0.0841398i | ||||
\(556\) | 8.35410 | + | 2.71441i | 0.354293 | + | 0.115117i | ||||
\(557\) | 0.224514 | − | 0.163119i | 0.00951296 | − | 0.00691157i | −0.583019 | − | 0.812459i | \(-0.698129\pi\) |
0.592532 | + | 0.805547i | \(0.298129\pi\) | |||||||
\(558\) | −20.5397 | + | 2.09008i | −0.869513 | + | 0.0884801i | ||||
\(559\) | −1.54508 | − | 4.75528i | −0.0653501 | − | 0.201127i | ||||
\(560\) | −2.80017 | −0.118329 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 31.3050 | 1.32052 | ||||||||
\(563\) | −0.330515 | − | 1.01722i | −0.0139296 | − | 0.0428708i | 0.943850 | − | 0.330374i | \(-0.107175\pi\) |
−0.957780 | + | 0.287503i | \(0.907175\pi\) | |||||||
\(564\) | 8.60542 | + | 2.32109i | 0.362354 | + | 0.0977356i | ||||
\(565\) | −0.635255 | + | 0.461540i | −0.0267254 | + | 0.0194171i | ||||
\(566\) | 23.8949 | + | 7.76393i | 1.00438 | + | 0.326342i | ||||
\(567\) | 11.4336 | − | 25.2293i | 0.480164 | − | 1.05953i | ||||
\(568\) | −9.63525 | − | 13.2618i | −0.404286 | − | 0.556452i | ||||
\(569\) | 16.8415 | + | 12.2361i | 0.706033 | + | 0.512963i | 0.881891 | − | 0.471453i | \(-0.156270\pi\) |
−0.175859 | + | 0.984415i | \(0.556270\pi\) | |||||||
\(570\) | −1.59093 | + | 1.28396i | −0.0666368 | + | 0.0537790i | ||||
\(571\) | 22.5478i | 0.943598i | 0.881706 | + | 0.471799i | \(0.156395\pi\) | ||||
−0.881706 | + | 0.471799i | \(0.843605\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 39.2148 | − | 14.9787i | 1.63822 | − | 0.625745i | ||||
\(574\) | −2.50000 | + | 0.812299i | −0.104348 | + | 0.0339047i | ||||
\(575\) | −17.7926 | + | 24.4894i | −0.742001 | + | 1.02128i | ||||
\(576\) | 5.51618 | − | 25.5356i | 0.229841 | − | 1.06398i | ||||
\(577\) | −2.47214 | + | 7.60845i | −0.102916 | + | 0.316744i | −0.989236 | − | 0.146330i | \(-0.953254\pi\) |
0.886319 | + | 0.463074i | \(0.153254\pi\) | |||||||
\(578\) | −0.396027 | + | 1.21885i | −0.0164726 | + | 0.0506974i | ||||
\(579\) | −9.31899 | + | 14.2981i | −0.387284 | + | 0.594210i | ||||
\(580\) | 0.326238 | − | 0.449028i | 0.0135463 | − | 0.0186449i | ||||
\(581\) | 18.5191 | − | 6.01722i | 0.768302 | − | 0.249636i | ||||
\(582\) | −3.18368 | − | 8.33499i | −0.131968 | − | 0.345497i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 28.9443i | 1.19772i | ||||||||
\(585\) | −0.719622 | − | 0.418657i | −0.0297527 | − | 0.0173093i | ||||
\(586\) | −13.2533 | − | 9.62908i | −0.547488 | − | 0.397774i | ||||
\(587\) | −7.02067 | − | 9.66312i | −0.289774 | − | 0.398840i | 0.639167 | − | 0.769068i | \(-0.279279\pi\) |
−0.928941 | + | 0.370229i | \(0.879279\pi\) | |||||||
\(588\) | −2.64294 | + | 0.134124i | −0.108993 | + | 0.00553118i | ||||
\(589\) | 14.6353 | + | 4.75528i | 0.603035 | + | 0.195938i | ||||
\(590\) | −0.138757 | + | 0.100813i | −0.00571255 | + | 0.00415041i | ||||
\(591\) | 3.88473 | − | 14.4026i | 0.159796 | − | 0.592444i | ||||
\(592\) | −2.20820 | − | 6.79615i | −0.0907566 | − | 0.279320i | ||||
\(593\) | −7.33094 | −0.301046 | −0.150523 | − | 0.988607i | \(-0.548096\pi\) | ||||
−0.150523 | + | 0.988607i | \(0.548096\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.00000 | 0.204980 | ||||||||
\(596\) | −2.48990 | − | 7.66312i | −0.101990 | − | 0.313894i | ||||
\(597\) | −1.00859 | + | 3.73935i | −0.0412790 | + | 0.153041i | ||||
\(598\) | 4.30902 | − | 3.13068i | 0.176209 | − | 0.128023i | ||||
\(599\) | −20.6457 | − | 6.70820i | −0.843562 | − | 0.274090i | −0.144815 | − | 0.989459i | \(-0.546259\pi\) |
−0.698747 | + | 0.715369i | \(0.746259\pi\) | |||||||
\(600\) | −25.8425 | + | 1.31146i | −1.05502 | + | 0.0535401i | ||||
\(601\) | −10.9549 | − | 15.0781i | −0.446860 | − | 0.615050i | 0.524859 | − | 0.851189i | \(-0.324118\pi\) |
−0.971719 | + | 0.236139i | \(0.924118\pi\) | |||||||
\(602\) | −20.1437 | − | 14.6353i | −0.820996 | − | 0.596488i | ||||
\(603\) | −18.9976 | − | 11.0523i | −0.773644 | − | 0.450085i | ||||
\(604\) | − | 3.46120i | − | 0.140834i | ||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 11.5836 | + | 30.3262i | 0.470551 | + | 1.23192i | ||||
\(607\) | −35.2254 | + | 11.4454i | −1.42976 | + | 0.464556i | −0.918688 | − | 0.394984i | \(-0.870750\pi\) |
−0.511068 | + | 0.859540i | \(0.670750\pi\) | |||||||
\(608\) | −5.18407 | + | 7.13525i | −0.210242 | + | 0.289373i | ||||
\(609\) | −6.84348 | + | 10.4999i | −0.277312 | + | 0.425479i | ||||
\(610\) | 0.364745 | − | 1.12257i | 0.0147681 | − | 0.0454515i | ||||
\(611\) | −1.86936 | + | 5.75329i | −0.0756261 | + | 0.232753i | ||||
\(612\) | −1.66511 | + | 7.70817i | −0.0673082 | + | 0.311584i | ||||
\(613\) | 22.3607 | − | 30.7768i | 0.903139 | − | 1.24306i | −0.0663165 | − | 0.997799i | \(-0.521125\pi\) |
0.969456 | − | 0.245266i | \(-0.0788753\pi\) | |||||||
\(614\) | −10.6331 | + | 3.45492i | −0.429118 | + | 0.139429i | ||||
\(615\) | 0.449028 | − | 0.171513i | 0.0181066 | − | 0.00691609i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 15.7639i | − | 0.634632i | −0.948320 | − | 0.317316i | \(-0.897218\pi\) | ||
0.948320 | − | 0.317316i | \(-0.102782\pi\) | |||||||
\(618\) | 17.8036 | − | 14.3683i | 0.716165 | − | 0.577979i | ||||
\(619\) | 11.6631 | + | 8.47375i | 0.468780 | + | 0.340589i | 0.796966 | − | 0.604024i | \(-0.206437\pi\) |
−0.328185 | + | 0.944613i | \(0.606437\pi\) | |||||||
\(620\) | −0.812299 | − | 1.11803i | −0.0326227 | − | 0.0449013i | ||||
\(621\) | −22.7987 | − | 23.0263i | −0.914881 | − | 0.924013i | ||||
\(622\) | −5.59017 | − | 1.81636i | −0.224145 | − | 0.0728293i | ||||
\(623\) | 1.31433 | − | 0.954915i | 0.0526574 | − | 0.0382579i | ||||
\(624\) | 2.89406 | + | 0.780598i | 0.115855 | + | 0.0312489i | ||||
\(625\) | 7.05573 | + | 21.7153i | 0.282229 | + | 0.868612i | ||||
\(626\) | −12.9313 | −0.516838 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6.00000 | −0.239426 | ||||||||
\(629\) | 3.94298 | + | 12.1353i | 0.157217 | + | 0.483864i | ||||
\(630\) | −4.12460 | + | 0.419712i | −0.164328 | + | 0.0167217i | ||||
\(631\) | −35.1525 | + | 25.5398i | −1.39940 | + | 1.01672i | −0.404639 | + | 0.914477i | \(0.632603\pi\) |
−0.994759 | + | 0.102246i | \(0.967397\pi\) | |||||||
\(632\) | 11.6372 | + | 3.78115i | 0.462903 | + | 0.150406i | ||||
\(633\) | 1.70919 | + | 33.6800i | 0.0679343 | + | 1.33866i | ||||
\(634\) | 2.92705 | + | 4.02874i | 0.116248 | + | 0.160002i | ||||
\(635\) | −3.97574 | − | 2.88854i | −0.157772 | − | 0.114628i | ||||
\(636\) | 1.24649 | + | 1.54451i | 0.0494266 | + | 0.0612438i | ||||
\(637\) | − | 1.79611i | − | 0.0711645i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −10.6525 | − | 11.9098i | −0.421405 | − | 0.471146i | ||||
\(640\) | −1.28115 | + | 0.416272i | −0.0506420 | + | 0.0164546i | ||||
\(641\) | 6.55139 | − | 9.01722i | 0.258765 | − | 0.356159i | −0.659792 | − | 0.751448i | \(-0.729356\pi\) |
0.918557 | + | 0.395289i | \(0.129356\pi\) | |||||||
\(642\) | 22.2392 | + | 14.4947i | 0.877713 | + | 0.572061i | ||||
\(643\) | 5.89919 | − | 18.1558i | 0.232641 | − | 0.715996i | −0.764784 | − | 0.644286i | \(-0.777154\pi\) |
0.997426 | − | 0.0717097i | \(-0.0228455\pi\) | |||||||
\(644\) | −3.66547 | + | 11.2812i | −0.144440 | + | 0.444540i | ||||
\(645\) | 3.81433 | + | 2.48604i | 0.150189 | + | 0.0978877i | ||||
\(646\) | −7.72542 | + | 10.6331i | −0.303953 | + | 0.418355i | ||||
\(647\) | −23.9277 | + | 7.77458i | −0.940694 | + | 0.305650i | −0.738929 | − | 0.673784i | \(-0.764668\pi\) |
−0.201766 | + | 0.979434i | \(0.564668\pi\) | |||||||
\(648\) | 3.07768 | − | 27.5276i | 0.120903 | − | 1.08139i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | − | 4.14590i | − | 0.162615i | ||||||
\(651\) | 19.5987 | + | 24.2845i | 0.768134 | + | 0.951783i | ||||
\(652\) | −7.30902 | − | 5.31031i | −0.286243 | − | 0.207968i | ||||
\(653\) | −24.6012 | − | 33.8607i | −0.962720 | − | 1.32507i | −0.945640 | − | 0.325217i | \(-0.894563\pi\) |
−0.0170808 | − | 0.999854i | \(-0.505437\pi\) | |||||||
\(654\) | −0.485265 | − | 9.56224i | −0.0189754 | − | 0.373913i | ||||
\(655\) | −3.78115 | − | 1.22857i | −0.147742 | − | 0.0480042i | ||||
\(656\) | −1.40008 | + | 1.01722i | −0.0546641 | + | 0.0397158i | ||||
\(657\) | 2.85622 | + | 28.0687i | 0.111432 | + | 1.09507i | ||||
\(658\) | 9.30902 | + | 28.6502i | 0.362903 | + | 1.11690i | ||||
\(659\) | 3.59222 | 0.139933 | 0.0699666 | − | 0.997549i | \(-0.477711\pi\) | ||||
0.0699666 | + | 0.997549i | \(0.477711\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −23.4508 | −0.912132 | −0.456066 | − | 0.889946i | \(-0.650742\pi\) | ||||
−0.456066 | + | 0.889946i | \(0.650742\pi\) | |||||||
\(662\) | −4.68204 | − | 14.4098i | −0.181973 | − | 0.560054i | ||||
\(663\) | −5.16765 | − | 1.39384i | −0.200695 | − | 0.0541323i | ||||
\(664\) | 15.7533 | − | 11.4454i | 0.611346 | − | 0.444169i | ||||
\(665\) | 2.93893 | + | 0.954915i | 0.113967 | + | 0.0370300i | ||||
\(666\) | −4.27131 | − | 9.67963i | −0.165510 | − | 0.375078i | ||||
\(667\) | 8.61803 | + | 11.8617i | 0.333692 | + | 0.459287i | ||||
\(668\) | −10.5474 | − | 7.66312i | −0.408090 | − | 0.296495i | ||||
\(669\) | 2.37753 | − | 1.91878i | 0.0919207 | − | 0.0741843i | ||||
\(670\) | 3.28969i | 0.127092i | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −16.7082 | + | 6.38197i | −0.644533 | + | 0.246190i | ||||
\(673\) | −9.83688 | + | 3.19620i | −0.379184 | + | 0.123204i | −0.492407 | − | 0.870365i | \(-0.663883\pi\) |
0.113223 | + | 0.993570i | \(0.463883\pi\) | |||||||
\(674\) | 17.3965 | − | 23.9443i | 0.670089 | − | 0.922299i | ||||
\(675\) | −24.9314 | + | 3.82193i | −0.959610 | + | 0.147106i | ||||
\(676\) | −2.38197 | + | 7.33094i | −0.0916141 | + | 0.281959i | ||||
\(677\) | 9.16754 | − | 28.2148i | 0.352337 | − | 1.08438i | −0.605200 | − | 0.796073i | \(-0.706907\pi\) |
0.957537 | − | 0.288309i | \(-0.0930930\pi\) | |||||||
\(678\) | 2.28554 | − | 3.50670i | 0.0877756 | − | 0.134674i | ||||
\(679\) | −7.92705 | + | 10.9106i | −0.304212 | + | 0.418712i | ||||
\(680\) | 4.75528 | − | 1.54508i | 0.182357 | − | 0.0592513i | ||||
\(681\) | 8.95554 | + | 23.4459i | 0.343177 | + | 0.898449i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 9.00000i | − | 0.344375i | −0.985064 | − | 0.172188i | \(-0.944916\pi\) | ||
0.985064 | − | 0.172188i | \(-0.0550836\pi\) | |||||||
\(684\) | −2.45086 | + | 4.21274i | −0.0937109 | + | 0.161078i | ||||
\(685\) | 1.45492 | + | 1.05706i | 0.0555894 | + | 0.0403881i | ||||
\(686\) | 9.62908 | + | 13.2533i | 0.367640 | + | 0.506013i | ||||
\(687\) | 26.1629 | − | 1.32772i | 0.998178 | − | 0.0506556i | ||||
\(688\) | −15.5902 | − | 5.06555i | −0.594370 | − | 0.193122i | ||||
\(689\) | −1.08981 | + | 0.791796i | −0.0415186 | + | 0.0301650i | ||||
\(690\) | −1.26303 | + | 4.68269i | −0.0480829 | + | 0.178267i | ||||
\(691\) | −3.20163 | − | 9.85359i | −0.121796 | − | 0.374848i | 0.871508 | − | 0.490381i | \(-0.163142\pi\) |
−0.993304 | + | 0.115533i | \(0.963142\pi\) | |||||||
\(692\) | −14.2784 | −0.542782 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 8.54102 | 0.324213 | ||||||||
\(695\) | −1.67760 | − | 5.16312i | −0.0636350 | − | 0.195848i | ||||
\(696\) | −3.26388 | + | 12.1008i | −0.123717 | + | 0.458679i | ||||
\(697\) | 2.50000 | − | 1.81636i | 0.0946943 | − | 0.0687994i | ||||
\(698\) | −15.1967 | − | 4.93769i | −0.575202 | − | 0.186894i | ||||
\(699\) | 16.7483 | − | 0.849944i | 0.633479 | − | 0.0321478i | ||||
\(700\) | 5.42705 | + | 7.46969i | 0.205123 | + | 0.282328i | ||||
\(701\) | 12.5352 | + | 9.10739i | 0.473450 | + | 0.343981i | 0.798784 | − | 0.601618i | \(-0.205477\pi\) |
−0.325334 | + | 0.945599i | \(0.605477\pi\) | |||||||
\(702\) | 4.37990 | + | 0.716022i | 0.165309 | + | 0.0270245i | ||||
\(703\) | 7.88597i | 0.297425i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.96556 | − | 5.14590i | −0.0740272 | − | 0.193806i | ||||
\(706\) | 37.5623 | − | 12.2047i | 1.41368 | − | 0.459331i | ||||
\(707\) | 28.8420 | − | 39.6976i | 1.08471 | − | 1.49298i | ||||
\(708\) | −0.223260 | + | 0.342548i | −0.00839064 | + | 0.0128737i | ||||
\(709\) | −6.33688 | + | 19.5029i | −0.237987 | + | 0.732447i | 0.758725 | + | 0.651411i | \(0.225823\pi\) |
−0.996711 | + | 0.0810358i | \(0.974177\pi\) | |||||||
\(710\) | −0.739054 | + | 2.27458i | −0.0277362 | + | 0.0853633i | ||||
\(711\) | 11.6583 | + | 2.51842i | 0.437221 | + | 0.0944481i | ||||
\(712\) | 0.954915 | − | 1.31433i | 0.0357870 | − | 0.0492565i | ||||
\(713\) | 34.7198 | − | 11.2812i | 1.30027 | − | 0.422482i | ||||
\(714\) | −24.8990 | + | 9.51057i | −0.931821 | + | 0.355924i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 8.61803i | 0.322071i | ||||||||
\(717\) | −10.3980 | + | 8.39167i | −0.388320 | + | 0.313393i | ||||
\(718\) | −30.3262 | − | 22.0333i | −1.13177 | − | 0.822276i | ||||
\(719\) | 17.7068 | + | 24.3713i | 0.660352 | + | 0.908897i | 0.999493 | − | 0.0318387i | \(-0.0101363\pi\) |
−0.339141 | + | 0.940736i | \(0.610136\pi\) | |||||||
\(720\) | −2.49718 | + | 1.10192i | −0.0930642 | + | 0.0410662i | ||||
\(721\) | −32.8885 | − | 10.6861i | −1.22483 | − | 0.397972i | ||||
\(722\) | 11.4984 | − | 8.35410i | 0.427927 | − | 0.310907i | ||||
\(723\) | 46.6078 | + | 12.5712i | 1.73336 | + | 0.467530i | ||||
\(724\) | −1.48278 | − | 4.56352i | −0.0551071 | − | 0.169602i | ||||
\(725\) | 11.4127 | 0.423856 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −27.8541 | −1.03305 | −0.516526 | − | 0.856272i | \(-0.672775\pi\) | ||||
−0.516526 | + | 0.856272i | \(0.672775\pi\) | |||||||
\(728\) | −2.12663 | − | 6.54508i | −0.0788180 | − | 0.242577i | ||||
\(729\) | 0.268157 | − | 26.9987i | 0.00993173 | − | 0.999951i | ||||
\(730\) | 3.41641 | − | 2.48217i | 0.126447 | − | 0.0918691i | ||||
\(731\) | 27.8379 | + | 9.04508i | 1.02962 | + | 0.334545i | ||||
\(732\) | −0.142616 | − | 2.81027i | −0.00527123 | − | 0.103871i | ||||
\(733\) | 27.6869 | + | 38.1078i | 1.02264 | + | 1.40754i | 0.910337 | + | 0.413869i | \(0.135823\pi\) |
0.112303 | + | 0.993674i | \(0.464177\pi\) | |||||||
\(734\) | 22.8051 | + | 16.5689i | 0.841752 | + | 0.611569i | ||||
\(735\) | 1.02717 | + | 1.27275i | 0.0378876 | + | 0.0469459i | ||||
\(736\) | 20.9232i | 0.771241i | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −1.90983 | + | 1.70820i | −0.0703018 | + | 0.0628799i | ||||
\(739\) | −12.9271 | + | 4.20025i | −0.475529 | + | 0.154509i | −0.536969 | − | 0.843602i | \(-0.680431\pi\) |
0.0614397 | + | 0.998111i | \(0.480431\pi\) | |||||||
\(740\) | 0.416272 | − | 0.572949i | 0.0153025 | − | 0.0210620i | ||||
\(741\) | −2.77127 | − | 1.80621i | −0.101805 | − | 0.0663529i | ||||
\(742\) | −2.07295 | + | 6.37988i | −0.0761004 | + | 0.234213i | ||||
\(743\) | −9.07405 | + | 27.9271i | −0.332895 | + | 1.02454i | 0.634855 | + | 0.772631i | \(0.281060\pi\) |
−0.967750 | + | 0.251913i | \(0.918940\pi\) | |||||||
\(744\) | 26.1438 | + | 17.0396i | 0.958478 | + | 0.624701i | ||||
\(745\) | −2.92705 | + | 4.02874i | −0.107239 | + | 0.147602i | ||||
\(746\) | 30.5851 | − | 9.93769i | 1.11980 | − | 0.363845i | ||||
\(747\) | 14.1473 | − | 12.6538i | 0.517624 | − | 0.462977i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 40.1246i | − | 1.46612i | ||||||
\(750\) | 4.81320 | + | 5.96396i | 0.175753 | + | 0.217773i | ||||
\(751\) | 11.7812 | + | 8.55951i | 0.429900 | + | 0.312341i | 0.781609 | − | 0.623769i | \(-0.214399\pi\) |
−0.351709 | + | 0.936109i | \(0.614399\pi\) | |||||||
\(752\) | 11.6574 | + | 16.0451i | 0.425103 | + | 0.585104i | ||||
\(753\) | 1.78434 | + | 35.1608i | 0.0650251 | + | 1.28133i | ||||
\(754\) | −1.90983 | − | 0.620541i | −0.0695519 | − | 0.0225988i | ||||
\(755\) | −1.73060 | + | 1.25735i | −0.0629830 | + | 0.0457598i | ||||
\(756\) | −8.82859 | + | 4.44330i | −0.321093 | + | 0.161601i | ||||
\(757\) | 3.36475 | + | 10.3556i | 0.122294 | + | 0.376381i | 0.993398 | − | 0.114716i | \(-0.0365958\pi\) |
−0.871105 | + | 0.491098i | \(0.836596\pi\) | |||||||
\(758\) | −3.39569 | −0.123337 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 3.09017 | 0.112092 | ||||||||
\(761\) | 10.2496 | + | 31.5451i | 0.371548 | + | 1.14351i | 0.945778 | + | 0.324814i | \(0.105302\pi\) |
−0.574229 | + | 0.818694i | \(0.694698\pi\) | |||||||
\(762\) | 25.2927 | + | 6.82205i | 0.916258 | + | 0.247137i | ||||
\(763\) | −11.7082 | + | 8.50651i | −0.423865 | + | 0.307956i | ||||
\(764\) | −14.2456 | − | 4.62868i | −0.515388 | − | 0.167460i | ||||
\(765\) | 4.45897 | − | 1.96760i | 0.161214 | − | 0.0711387i | ||||
\(766\) | −8.57953 | − | 11.8087i | −0.309991 | − | 0.426666i | ||||
\(767\) | −0.224514 | − | 0.163119i | −0.00810673 | − | 0.00588988i | ||||
\(768\) | −17.8868 | + | 14.4355i | −0.645433 | + | 0.520895i | ||||
\(769\) | − | 30.7113i | − | 1.10748i | −0.832690 | − | 0.553739i | \(-0.813200\pi\) | ||
0.832690 | − | 0.553739i | \(-0.186800\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −36.0344 | + | 13.7639i | −1.29775 | + | 0.495696i | ||||
\(772\) | 5.79180 | − | 1.88187i | 0.208451 | − | 0.0677299i | ||||
\(773\) | 26.9399 | − | 37.0795i | 0.968959 | − | 1.33366i | 0.0263883 | − | 0.999652i | \(-0.491599\pi\) |
0.942571 | − | 0.334006i | \(-0.108401\pi\) | |||||||
\(774\) | −23.7233 | − | 5.12469i | −0.852717 | − | 0.184203i | ||||
\(775\) | 8.78115 | − | 27.0256i | 0.315428 | − | 0.970789i | ||||
\(776\) | −4.16750 | + | 12.8262i | −0.149604 | + | 0.460435i | ||||
\(777\) | −8.73212 | + | 13.3977i | −0.313263 | + | 0.480639i | ||||
\(778\) | 5.10081 | − | 7.02067i | 0.182873 | − | 0.251703i | ||||
\(779\) | 1.81636 | − | 0.590170i | 0.0650777 | − | 0.0211450i | ||||
\(780\) | 0.106001 | + | 0.277515i | 0.00379545 | + | 0.00993661i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 31.1803i | 1.11501i | ||||||||
\(783\) | −1.97104 | + | 12.0568i | −0.0704392 | + | 0.430876i | ||||
\(784\) | −4.76393 | − | 3.46120i | −0.170140 | − | 0.123614i | ||||
\(785\) | 2.17963 | + | 3.00000i | 0.0777942 | + | 0.107075i | ||||
\(786\) | 21.1663 | − | 1.07415i | 0.754975 | − | 0.0383135i | ||||
\(787\) | −2.96556 | − | 0.963568i | −0.105711 | − | 0.0343475i | 0.255684 | − | 0.966760i | \(-0.417699\pi\) |
−0.361395 | + | 0.932413i | \(0.617699\pi\) | |||||||
\(788\) | −4.30625 | + | 3.12868i | −0.153404 | + | 0.111455i | ||||
\(789\) | 4.11682 | − | 15.2631i | 0.146563 | − | 0.543379i | ||||
\(790\) | −0.551663 | − | 1.69784i | −0.0196273 | − | 0.0604066i | ||||
\(791\) | −6.32688 | −0.224958 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.90983 | 0.0678201 | ||||||||
\(794\) | 8.35524 | + | 25.7148i | 0.296516 | + | 0.912583i | ||||
\(795\) | 0.319440 | − | 1.18432i | 0.0113294 | − | 0.0420035i | ||||
\(796\) | 1.11803 | − | 0.812299i | 0.0396277 | − | 0.0287912i | ||||
\(797\) | −34.3035 | − | 11.1459i | −1.21509 | − | 0.394808i | −0.369801 | − | 0.929111i | \(-0.620574\pi\) |
−0.845293 | + | 0.534303i | \(0.820574\pi\) | |||||||
\(798\) | −16.4516 | + | 0.834887i | −0.582381 | + | 0.0295547i | ||||
\(799\) | −20.8156 | − | 28.6502i | −0.736403 | − | 1.01357i | ||||
\(800\) | 13.1760 | + | 9.57295i | 0.465843 | + | 0.338455i | ||||
\(801\) | 0.796332 | − | 1.36880i | 0.0281370 | − | 0.0483642i | ||||
\(802\) | − | 32.7445i | − | 1.15625i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 2.79837 | + | 7.32624i | 0.0986910 | + | 0.258376i | ||||
\(805\) | 6.97214 | − | 2.26538i | 0.245736 | − | 0.0798443i | ||||
\(806\) | −2.93893 | + | 4.04508i | −0.103519 | + | 0.142482i | ||||
\(807\) | 17.7459 | − | 27.2275i | 0.624686 | − | 0.958454i | ||||
\(808\) | 15.1631 | − | 46.6673i | 0.533437 | − | 1.64175i | ||||
\(809\) | −6.62464 | + | 20.3885i | −0.232910 | + | 0.716823i | 0.764482 | + | 0.644645i | \(0.222995\pi\) |
−0.997392 | + | 0.0721778i | \(0.977005\pi\) | |||||||
\(810\) | −3.51313 | + | 1.99741i | −0.123439 | + | 0.0701818i | ||||
\(811\) | −12.2984 | + | 16.9273i | −0.431854 | + | 0.594396i | −0.968378 | − | 0.249489i | \(-0.919737\pi\) |
0.536523 | + | 0.843886i | \(0.319737\pi\) | |||||||
\(812\) | 4.25325 | − | 1.38197i | 0.149260 | − | 0.0484975i | ||||
\(813\) | 27.4216 | − | 10.4741i | 0.961719 | − | 0.367344i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.58359i | 0.195585i | ||||||||
\(816\) | −13.6553 | + | 11.0205i | −0.478031 | + | 0.385794i | ||||
\(817\) | 14.6353 | + | 10.6331i | 0.512023 | + | 0.372006i | ||||
\(818\) | −14.6214 | − | 20.1246i | −0.511225 | − | 0.703641i | ||||
\(819\) | −2.70817 | − | 6.13725i | −0.0946311 | − | 0.214453i | ||||
\(820\) | −0.163119 | − | 0.0530006i | −0.00569636 | − | 0.00185086i | ||||
\(821\) | 37.6260 | − | 27.3369i | 1.31316 | − | 0.954064i | 0.313166 | − | 0.949699i | \(-0.398611\pi\) |
0.999990 | − | 0.00436519i | \(-0.00138949\pi\) | |||||||
\(822\) | −9.25582 | − | 2.49652i | −0.322834 | − | 0.0870761i | ||||
\(823\) | 8.07295 | + | 24.8460i | 0.281405 | + | 0.866076i | 0.987453 | + | 0.157912i | \(0.0504763\pi\) |
−0.706048 | + | 0.708164i | \(0.749524\pi\) | |||||||
\(824\) | −34.5811 | −1.20469 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.38197 | −0.0480847 | ||||||||
\(827\) | 8.05748 | + | 24.7984i | 0.280186 | + | 0.862324i | 0.987800 | + | 0.155725i | \(0.0497714\pi\) |
−0.707614 | + | 0.706599i | \(0.750229\pi\) | |||||||
\(828\) | 1.17051 | + | 11.5029i | 0.0406782 | + | 0.399754i | ||||
\(829\) | 4.26393 | − | 3.09793i | 0.148092 | − | 0.107595i | −0.511272 | − | 0.859419i | \(-0.670825\pi\) |
0.659364 | + | 0.751824i | \(0.270825\pi\) | |||||||
\(830\) | −2.70190 | − | 0.877901i | −0.0937843 | − | 0.0304724i | ||||
\(831\) | 1.42396 | + | 28.0594i | 0.0493967 | + | 0.973371i | ||||
\(832\) | −3.71885 | − | 5.11855i | −0.128928 | − | 0.177454i | ||||
\(833\) | 8.50651 | + | 6.18034i | 0.294733 | + | 0.214136i | ||||
\(834\) | 18.1749 | + | 22.5203i | 0.629347 | + | 0.779814i | ||||
\(835\) | 8.05748i | 0.278841i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 27.0344 | + | 13.9443i | 0.934447 | + | 0.481985i | ||||
\(838\) | −0.954915 | + | 0.310271i | −0.0329870 | + | 0.0107181i | ||||
\(839\) | −0.971301 | + | 1.33688i | −0.0335330 | + | 0.0461543i | −0.825454 | − | 0.564469i | \(-0.809081\pi\) |
0.791921 | + | 0.610623i | \(0.209081\pi\) | |||||||
\(840\) | 5.24997 | + | 3.42174i | 0.181141 | + | 0.118061i | ||||
\(841\) | −7.25329 | + | 22.3233i | −0.250113 | + | 0.769770i | ||||
\(842\) | −6.95515 | + | 21.4058i | −0.239690 | + | 0.737691i | ||||
\(843\) | −38.6410 | − | 25.1848i | −1.33087 | − | 0.867411i | ||||
\(844\) | 7.07295 | − | 9.73508i | 0.243461 | − | 0.335095i | ||||
\(845\) | 4.53077 | − | 1.47214i | 0.155863 | − | 0.0506430i | ||||
\(846\) | 19.5762 | + | 21.8868i | 0.673042 | + | 0.752484i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.41641i | 0.151660i | ||||||||
\(849\) | −23.2484 | − | 28.8068i | −0.797884 | − | 0.988647i | ||||
\(850\) | 19.6353 | + | 14.2658i | 0.673484 | + | 0.489315i | ||||
\(851\) | 10.9964 | + | 15.1353i | 0.376952 | + | 0.518830i | ||||
\(852\) | 0.288971 | + | 5.69423i | 0.00989999 | + | 0.195081i | ||||
\(853\) | 0.892609 | + | 0.290026i | 0.0305624 | + | 0.00993031i | 0.324258 | − | 0.945969i | \(-0.394885\pi\) |
−0.293696 | + | 0.955899i | \(0.594885\pi\) | |||||||
\(854\) | 7.69421 | − | 5.59017i | 0.263290 | − | 0.191292i | ||||
\(855\) | 2.99670 | − | 0.304938i | 0.102485 | − | 0.0104287i | ||||
\(856\) | −12.3992 | − | 38.1608i | −0.423795 | − | 1.30431i | ||||
\(857\) | −34.9646 | −1.19437 | −0.597184 | − | 0.802105i | \(-0.703714\pi\) | ||||
−0.597184 | + | 0.802105i | \(0.703714\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 43.4721 | 1.48325 | 0.741625 | − | 0.670815i | \(-0.234055\pi\) | ||||
0.741625 | + | 0.670815i | \(0.234055\pi\) | |||||||
\(860\) | −0.502029 | − | 1.54508i | −0.0171190 | − | 0.0526870i | ||||
\(861\) | 3.73935 | + | 1.00859i | 0.127437 | + | 0.0343728i | ||||
\(862\) | 5.75329 | − | 4.18001i | 0.195958 | − | 0.142372i | ||||
\(863\) | 1.06957 | + | 0.347524i | 0.0364086 | + | 0.0118299i | 0.327165 | − | 0.944967i | \(-0.393907\pi\) |
−0.290756 | + | 0.956797i | \(0.593907\pi\) | |||||||
\(864\) | −12.3889 | + | 12.2664i | −0.421477 | + | 0.417312i | ||||
\(865\) | 5.18692 | + | 7.13918i | 0.176360 | + | 0.242739i | ||||
\(866\) | −5.70634 | − | 4.14590i | −0.193909 | − | 0.140883i | ||||
\(867\) | 1.46940 | − | 1.18587i | 0.0499033 | − | 0.0402743i | ||||
\(868\) | − | 11.1352i | − | 0.377952i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.70820 | − | 0.652476i | 0.0579135 | − | 0.0221210i | ||||
\(871\) | −5.06231 | + | 1.64484i | −0.171530 | + | 0.0557334i | ||||
\(872\) | −8.50651 | + | 11.7082i | −0.288067 | + | 0.396490i | ||||
\(873\) | −2.77574 | + | 12.8495i | −0.0939446 | + | 0.434890i | ||||
\(874\) | −5.95492 | + | 18.3273i | −0.201428 | + | 0.619932i | ||||
\(875\) | 3.57971 | − | 11.0172i | 0.121016 | − | 0.372450i | ||||
\(876\) | 5.49700 | − | 8.43403i | 0.185726 | − | 0.284960i | ||||
\(877\) | −20.2254 | + | 27.8379i | −0.682964 | + | 0.940019i | −0.999965 | − | 0.00840594i | \(-0.997324\pi\) |
0.317001 | + | 0.948425i | \(0.397324\pi\) | |||||||
\(878\) | −3.05744 | + | 0.993422i | −0.103184 | + | 0.0335264i | ||||
\(879\) | 8.61251 | + | 22.5478i | 0.290493 | + | 0.760520i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 29.9230i | − | 1.00813i | −0.863665 | − | 0.504066i | \(-0.831837\pi\) | ||
0.863665 | − | 0.504066i | \(-0.168163\pi\) | |||||||
\(882\) | −7.53598 | − | 4.38423i | −0.253750 | − | 0.147625i | ||||
\(883\) | 32.5066 | + | 23.6174i | 1.09393 | + | 0.794789i | 0.980059 | − | 0.198706i | \(-0.0636739\pi\) |
0.113874 | + | 0.993495i | \(0.463674\pi\) | |||||||
\(884\) | 1.12257 | + | 1.54508i | 0.0377561 | + | 0.0519668i | ||||
\(885\) | 0.252378 | − | 0.0128077i | 0.00848359 | − | 0.000430526i | ||||
\(886\) | 1.70820 | + | 0.555029i | 0.0573882 | + | 0.0186466i | ||||
\(887\) | −11.2739 | + | 8.19098i | −0.378541 | + | 0.275026i | −0.760744 | − | 0.649052i | \(-0.775166\pi\) |
0.382203 | + | 0.924079i | \(0.375166\pi\) | |||||||
\(888\) | −4.16463 | + | 15.4403i | −0.139756 | + | 0.518143i | ||||
\(889\) | −12.2361 | − | 37.6587i | −0.410385 | − | 1.26303i | ||||
\(890\) | −0.237026 | −0.00794512 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1.09017 | −0.0365016 | ||||||||
\(893\) | −6.76340 | − | 20.8156i | −0.226328 | − | 0.696567i | ||||
\(894\) | 6.91300 | − | 25.6299i | 0.231205 | − | 0.857192i | ||||
\(895\) | 4.30902 | − | 3.13068i | 0.144035 | − | 0.104647i | ||||
\(896\) | −10.3229 | − | 3.35410i | −0.344863 | − | 0.112053i | ||||
\(897\) | −7.83744 | + | 0.397735i | −0.261684 | + | 0.0132800i | ||||
\(898\) | 19.2705 | + | 26.5236i | 0.643065 | + | 0.885103i | ||||
\(899\) | −11.1352 | − | 8.09017i | −0.371379 | − | 0.269822i | ||||
\(900\) | 7.77929 | + | 4.52578i | 0.259310 | + | 0.150859i | ||||
\(901\) | − | 7.88597i | − | 0.262720i | ||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 13.0902 | + | 34.2705i | 0.435614 | + | 1.14045i | ||||
\(904\) | −6.01722 | + | 1.95511i | −0.200130 | + | 0.0650261i | ||||
\(905\) | −1.74311 | + | 2.39919i | −0.0579430 | + | 0.0797517i | ||||
\(906\) | 6.22640 | − | 9.55316i | 0.206858 | − | 0.317383i | ||||
\(907\) | −9.70163 | + | 29.8585i | −0.322137 | + | 0.991436i | 0.650579 | + | 0.759439i | \(0.274526\pi\) |
−0.972716 | + | 0.231998i | \(0.925474\pi\) | |||||||
\(908\) | 2.76741 | − | 8.51722i | 0.0918398 | − | 0.282654i | ||||
\(909\) | 10.0993 | − | 46.7520i | 0.334973 | − | 1.55066i | ||||
\(910\) | −0.590170 | + | 0.812299i | −0.0195639 | + | 0.0269275i | ||||
\(911\) | 30.1688 | − | 9.80244i | 0.999537 | − | 0.324769i | 0.236857 | − | 0.971545i | \(-0.423883\pi\) |
0.762681 | + | 0.646775i | \(0.223883\pi\) | |||||||
\(912\) | −10.1311 | + | 3.86974i | −0.335474 | + | 0.128140i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 29.4721i | 0.974852i | ||||||||
\(915\) | −1.35333 | + | 1.09220i | −0.0447396 | + | 0.0361070i | ||||
\(916\) | −7.56231 | − | 5.49434i | −0.249866 | − | 0.181538i | ||||
\(917\) | −18.8294 | − | 25.9164i | −0.621801 | − | 0.855835i | ||||
\(918\) | −18.4622 | + | 18.2797i | −0.609343 | + | 0.603321i | ||||
\(919\) | 44.1074 | + | 14.3314i | 1.45497 | + | 0.472748i | 0.926529 | − | 0.376223i | \(-0.122777\pi\) |
0.528439 | + | 0.848971i | \(0.322777\pi\) | |||||||
\(920\) | 5.93085 | − | 4.30902i | 0.195534 | − | 0.142064i | ||||
\(921\) | 15.9044 | + | 4.28980i | 0.524068 | + | 0.141354i | ||||
\(922\) | −11.1565 | − | 34.3363i | −0.367421 | − | 1.13081i | ||||
\(923\) | −3.86974 | −0.127374 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.5623 | 0.478806 | ||||||||
\(926\) | −12.0862 | − | 37.1976i | −0.397178 | − | 1.22239i | ||||
\(927\) | −33.5350 | + | 3.41246i | −1.10143 | + | 0.112080i | ||||
\(928\) | 6.38197 | − | 4.63677i | 0.209498 | − | 0.152209i | ||||
\(929\) | 30.7238 | + | 9.98278i | 1.00802 | + | 0.327524i | 0.766064 | − | 0.642764i | \(-0.222212\pi\) |
0.241952 | + | 0.970288i | \(0.422212\pi\) | |||||||
\(930\) | −0.230757 | − | 4.54711i | −0.00756683 | − | 0.149106i | ||||
\(931\) | 3.81966 | + | 5.25731i | 0.125184 | + | 0.172301i | ||||
\(932\) | −4.84104 | − | 3.51722i | −0.158574 | − | 0.115210i | ||||
\(933\) | 5.43893 | + | 6.73929i | 0.178062 | + | 0.220635i | ||||
\(934\) | 8.99602i | 0.294359i | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.47214 | − | 5.00000i | −0.146176 | − | 0.163430i | ||||
\(937\) | 34.7599 | − | 11.2942i | 1.13556 | − | 0.368964i | 0.319871 | − | 0.947461i | \(-0.396361\pi\) |
0.815685 | + | 0.578497i | \(0.196361\pi\) | |||||||
\(938\) | −15.5802 | + | 21.4443i | −0.508711 | + | 0.700180i | ||||
\(939\) | 15.9616 | + | 10.4032i | 0.520888 | + | 0.339496i | ||||
\(940\) | −0.607391 | + | 1.86936i | −0.0198109 | + | 0.0609717i | ||||
\(941\) | 11.0619 | − | 34.0451i | 0.360608 | − | 1.10984i | −0.592078 | − | 0.805881i | \(-0.701692\pi\) |
0.952686 | − | 0.303957i | \(-0.0983079\pi\) | |||||||
\(942\) | −16.5604 | − | 10.7935i | −0.539568 | − | 0.351671i | ||||
\(943\) | 2.66312 | − | 3.66547i | 0.0867231 | − | 0.119364i | ||||
\(944\) | −0.865300 | + | 0.281153i | −0.0281631 | + | 0.00915075i | ||||
\(945\) | 5.42882 | + | 2.80017i | 0.176600 | + | 0.0910895i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 17.1459i | − | 0.557167i | −0.960412 | − | 0.278583i | \(-0.910135\pi\) | ||
0.960412 | − | 0.278583i | \(-0.0898649\pi\) | |||||||
\(948\) | −2.67284 | − | 3.31188i | −0.0868099 | − | 0.107565i | ||||
\(949\) | 5.52786 | + | 4.01623i | 0.179442 | + | 0.130372i | ||||
\(950\) | 8.81678 | + | 12.1353i | 0.286054 | + | 0.393720i | ||||
\(951\) | −0.371864 | − | 7.32766i | −0.0120585 | − | 0.237616i | ||||
\(952\) | 38.3156 | + | 12.4495i | 1.24182 | + | 0.403490i | ||||
\(953\) | 3.24920 | − | 2.36068i | 0.105252 | − | 0.0764699i | −0.533914 | − | 0.845539i | \(-0.679280\pi\) |
0.639166 | + | 0.769069i | \(0.279280\pi\) | |||||||
\(954\) | 0.661966 | + | 6.50529i | 0.0214320 | + | 0.210617i | ||||
\(955\) | 2.86068 | + | 8.80427i | 0.0925694 | + | 0.284899i | ||||
\(956\) | 4.76779 | 0.154201 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.5410 | −0.760576 | ||||||||
\(959\) | 4.47777 | + | 13.7812i | 0.144595 | + | 0.445017i | ||||
\(960\) | 5.56243 | + | 1.50032i | 0.179527 | + | 0.0484227i | ||||
\(961\) | −2.64590 | + | 1.92236i | −0.0853515 | + | 0.0620115i | ||||
\(962\) | −2.43690 | − | 0.791796i | −0.0785687 | − | 0.0255285i | ||||
\(963\) | −15.7898 | − | 35.7829i | −0.508820 | − | 1.15309i | ||||
\(964\) | −10.1246 | − | 13.9353i | −0.326092 | − | 0.448827i | ||||
\(965\) | −3.04493 | − | 2.21227i | −0.0980197 | − | 0.0712155i | ||||
\(966\) | −30.4108 | + | 24.5429i | −0.978452 | + | 0.789656i | ||||
\(967\) | 12.9313i | 0.415842i | 0.978146 | + | 0.207921i | \(0.0666697\pi\) | ||||
−0.978146 | + | 0.207921i | \(0.933330\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 18.0902 | − | 6.90983i | 0.581140 | − | 0.221976i | ||||
\(970\) | 1.87132 | − | 0.608030i | 0.0600846 | − | 0.0195227i | ||||
\(971\) | −4.80828 | + | 6.61803i | −0.154305 | + | 0.212383i | −0.879170 | − | 0.476508i | \(-0.841902\pi\) |
0.724865 | + | 0.688891i | \(0.241902\pi\) | |||||||
\(972\) | −6.12476 | + | 7.43674i | −0.196452 | + | 0.238534i | ||||
\(973\) | 13.5172 | − | 41.6017i | 0.433342 | − | 1.33369i | ||||
\(974\) | −0.534785 | + | 1.64590i | −0.0171356 | + | 0.0527380i | ||||
\(975\) | −3.33537 | + | 5.11746i | −0.106817 | + | 0.163890i | ||||
\(976\) | 3.68034 | − | 5.06555i | 0.117805 | − | 0.162144i | ||||
\(977\) | −32.3889 | + | 10.5238i | −1.03621 | + | 0.336686i | −0.777244 | − | 0.629199i | \(-0.783383\pi\) |
−0.258969 | + | 0.965886i | \(0.583383\pi\) | |||||||
\(978\) | −10.6206 | − | 27.8052i | −0.339610 | − | 0.889111i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | − | 0.583592i | − | 0.0186422i | ||||||
\(981\) | −7.09383 | + | 12.1935i | −0.226489 | + | 0.389307i | ||||
\(982\) | 16.8090 | + | 12.2125i | 0.536397 | + | 0.389715i | ||||
\(983\) | 33.6830 | + | 46.3607i | 1.07432 | + | 1.47868i | 0.865623 | + | 0.500696i | \(0.166922\pi\) |
0.208698 | + | 0.977980i | \(0.433078\pi\) | |||||||
\(984\) | 3.86801 | − | 0.196294i | 0.123308 | − | 0.00625762i | ||||
\(985\) | 3.12868 | + | 1.01657i | 0.0996879 | + | 0.0323906i | ||||
\(986\) | 9.51057 | − | 6.90983i | 0.302878 | − | 0.220054i | ||||
\(987\) | 11.5586 | − | 42.8533i | 0.367913 | − | 1.36403i | ||||
\(988\) | 0.364745 | + | 1.12257i | 0.0116041 | + | 0.0357137i | ||||
\(989\) | 42.9161 | 1.36465 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.5623 | −0.399055 | −0.199527 | − | 0.979892i | \(-0.563941\pi\) | ||||
−0.199527 | + | 0.979892i | \(0.563941\pi\) | |||||||
\(992\) | −6.06961 | − | 18.6803i | −0.192710 | − | 0.593101i | ||||
\(993\) | −5.81346 | + | 21.5534i | −0.184485 | + | 0.683975i | ||||
\(994\) | −15.5902 | + | 11.3269i | −0.494490 | + | 0.359268i | ||||
\(995\) | −0.812299 | − | 0.263932i | −0.0257516 | − | 0.00836721i | ||||
\(996\) | −6.76401 | + | 0.343260i | −0.214326 | + | 0.0108766i | ||||
\(997\) | 8.65654 | + | 11.9147i | 0.274155 | + | 0.377343i | 0.923787 | − | 0.382907i | \(-0.125077\pi\) |
−0.649632 | + | 0.760249i | \(0.725077\pi\) | |||||||
\(998\) | −34.2178 | − | 24.8607i | −1.08315 | − | 0.786951i | ||||
\(999\) | −2.51500 | + | 15.3842i | −0.0795711 | + | 0.486736i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))