Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [62,2,Mod(7,62)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(62, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([28]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("62.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 62 = 2 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 62.g (of order \(15\), degree \(8\), 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: | \(0.495072492532\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(0.913545 - 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 62.41 |
Dual form | 62.2.g.b.59.1 |
$q$-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 \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{7}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.0399263 | + | 0.379874i | 0.0230515 | + | 0.219320i | 0.999983 | + | 0.00576897i | \(0.00183633\pi\) |
−0.976932 | + | 0.213551i | \(0.931497\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | −0.604528 | − | 1.04707i | −0.270353 | − | 0.468266i | 0.698599 | − | 0.715513i | \(-0.253807\pi\) |
−0.968952 | + | 0.247248i | \(0.920474\pi\) | |||||||
\(6\) | −0.190983 | + | 0.330792i | −0.0779685 | + | 0.135045i | ||||
\(7\) | −3.01807 | − | 0.641511i | −1.14072 | − | 0.242469i | −0.401456 | − | 0.915879i | \(-0.631496\pi\) |
−0.739269 | + | 0.673410i | \(0.764829\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 2.79173 | − | 0.593401i | 0.930578 | − | 0.197800i | ||||
\(10\) | 0.126381 | − | 1.20243i | 0.0399651 | − | 0.380243i | ||||
\(11\) | 0.115699 | − | 0.128496i | 0.0348845 | − | 0.0387431i | −0.725450 | − | 0.688275i | \(-0.758368\pi\) |
0.760335 | + | 0.649532i | \(0.225035\pi\) | |||||||
\(12\) | −0.348943 | + | 0.155360i | −0.100731 | + | 0.0448484i | ||||
\(13\) | −4.27222 | − | 1.90211i | −1.18490 | − | 0.527551i | −0.282842 | − | 0.959167i | \(-0.591277\pi\) |
−0.902058 | + | 0.431615i | \(0.857944\pi\) | |||||||
\(14\) | −2.06460 | − | 2.29297i | −0.551788 | − | 0.612823i | ||||
\(15\) | 0.373619 | − | 0.271450i | 0.0964680 | − | 0.0700881i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.91588 | + | 2.12780i | 0.464669 | + | 0.516068i | 0.929244 | − | 0.369466i | \(-0.120459\pi\) |
−0.464575 | + | 0.885534i | \(0.653793\pi\) | |||||||
\(18\) | 2.60735 | + | 1.16087i | 0.614559 | + | 0.273619i | ||||
\(19\) | −0.269091 | + | 0.119807i | −0.0617336 | + | 0.0274856i | −0.437371 | − | 0.899281i | \(-0.644090\pi\) |
0.375638 | + | 0.926767i | \(0.377424\pi\) | |||||||
\(20\) | 0.809017 | − | 0.898504i | 0.180902 | − | 0.200912i | ||||
\(21\) | 0.123193 | − | 1.17210i | 0.0268828 | − | 0.255773i | ||||
\(22\) | 0.169131 | − | 0.0359498i | 0.0360588 | − | 0.00766453i | ||||
\(23\) | −1.53440 | + | 4.72241i | −0.319945 | + | 0.984690i | 0.653726 | + | 0.756732i | \(0.273205\pi\) |
−0.973671 | + | 0.227958i | \(0.926795\pi\) | |||||||
\(24\) | −0.373619 | − | 0.0794152i | −0.0762647 | − | 0.0162106i | ||||
\(25\) | 1.76909 | − | 3.06415i | 0.353818 | − | 0.612831i | ||||
\(26\) | −2.33826 | − | 4.04999i | −0.458571 | − | 0.794268i | ||||
\(27\) | 0.690983 | + | 2.12663i | 0.132980 | + | 0.409270i | ||||
\(28\) | −0.322523 | − | 3.06860i | −0.0609510 | − | 0.579910i | ||||
\(29\) | 6.82614 | + | 4.95948i | 1.26758 | + | 0.920952i | 0.999104 | − | 0.0423338i | \(-0.0134793\pi\) |
0.268478 | + | 0.963286i | \(0.413479\pi\) | |||||||
\(30\) | 0.461819 | 0.0843162 | ||||||||
\(31\) | −3.10735 | + | 4.62000i | −0.558097 | + | 0.829776i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.0534318 | + | 0.0388205i | 0.00930129 | + | 0.00675778i | ||||
\(34\) | 0.299290 | + | 2.84755i | 0.0513278 | + | 0.488351i | ||||
\(35\) | 1.15280 | + | 3.54796i | 0.194859 | + | 0.599714i | ||||
\(36\) | 1.42705 | + | 2.47172i | 0.237842 | + | 0.411954i | ||||
\(37\) | 4.00973 | − | 6.94505i | 0.659195 | − | 1.14176i | −0.321629 | − | 0.946866i | \(-0.604230\pi\) |
0.980824 | − | 0.194894i | \(-0.0624362\pi\) | |||||||
\(38\) | −0.288120 | − | 0.0612417i | −0.0467392 | − | 0.00993472i | ||||
\(39\) | 0.551989 | − | 1.69885i | 0.0883889 | − | 0.272033i | ||||
\(40\) | 1.18264 | − | 0.251377i | 0.186991 | − | 0.0397462i | ||||
\(41\) | −0.196341 | + | 1.86806i | −0.0306634 | + | 0.291742i | 0.968434 | + | 0.249269i | \(0.0801904\pi\) |
−0.999098 | + | 0.0424732i | \(0.986476\pi\) | |||||||
\(42\) | 0.788608 | − | 0.875838i | 0.121685 | − | 0.135145i | ||||
\(43\) | −4.41667 | + | 1.96643i | −0.673536 | + | 0.299878i | −0.714859 | − | 0.699268i | \(-0.753509\pi\) |
0.0413234 | + | 0.999146i | \(0.486843\pi\) | |||||||
\(44\) | 0.157960 | + | 0.0703285i | 0.0238134 | + | 0.0106024i | ||||
\(45\) | −2.30902 | − | 2.56442i | −0.344208 | − | 0.382282i | ||||
\(46\) | −4.01712 | + | 2.91861i | −0.592292 | + | 0.430325i | ||||
\(47\) | 8.11787 | − | 5.89798i | 1.18411 | − | 0.860308i | 0.191483 | − | 0.981496i | \(-0.438670\pi\) |
0.992630 | + | 0.121188i | \(0.0386702\pi\) | |||||||
\(48\) | −0.255585 | − | 0.283856i | −0.0368905 | − | 0.0409711i | ||||
\(49\) | 2.30242 | + | 1.02510i | 0.328916 | + | 0.146443i | ||||
\(50\) | 3.23229 | − | 1.43911i | 0.457115 | − | 0.203521i | ||||
\(51\) | −0.731801 | + | 0.812748i | −0.102473 | + | 0.113807i | ||||
\(52\) | 0.488830 | − | 4.65090i | 0.0677885 | − | 0.644964i | ||||
\(53\) | −8.21139 | + | 1.74539i | −1.12792 | + | 0.239747i | −0.733836 | − | 0.679327i | \(-0.762272\pi\) |
−0.394085 | + | 0.919074i | \(0.628939\pi\) | |||||||
\(54\) | −0.690983 | + | 2.12663i | −0.0940309 | + | 0.289397i | ||||
\(55\) | −0.204489 | − | 0.0434654i | −0.0275732 | − | 0.00586087i | ||||
\(56\) | 1.54275 | − | 2.67212i | 0.206159 | − | 0.357077i | ||||
\(57\) | −0.0562553 | − | 0.0974370i | −0.00745119 | − | 0.0129058i | ||||
\(58\) | 2.60735 | + | 8.02460i | 0.342362 | + | 1.05368i | ||||
\(59\) | −1.54653 | − | 14.7142i | −0.201341 | − | 1.91563i | −0.368372 | − | 0.929678i | \(-0.620085\pi\) |
0.167031 | − | 0.985952i | \(-0.446582\pi\) | |||||||
\(60\) | 0.373619 | + | 0.271450i | 0.0482340 | + | 0.0350441i | ||||
\(61\) | −12.5623 | −1.60844 | −0.804219 | − | 0.594333i | \(-0.797416\pi\) | ||||
−0.804219 | + | 0.594333i | \(0.797416\pi\) | |||||||
\(62\) | −5.22947 | + | 1.91120i | −0.664143 | + | 0.242723i | ||||
\(63\) | −8.80633 | −1.10949 | ||||||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | 0.591023 | + | 5.62321i | 0.0733074 | + | 0.697473i | ||||
\(66\) | 0.0204091 | + | 0.0628129i | 0.00251219 | + | 0.00773173i | ||||
\(67\) | −4.60075 | − | 7.96873i | −0.562071 | − | 0.973536i | −0.997316 | − | 0.0732234i | \(-0.976671\pi\) |
0.435244 | − | 0.900312i | \(-0.356662\pi\) | |||||||
\(68\) | −1.43162 | + | 2.47964i | −0.173609 | + | 0.300700i | ||||
\(69\) | −1.85518 | − | 0.394331i | −0.223337 | − | 0.0474718i | ||||
\(70\) | −1.15280 | + | 3.54796i | −0.137786 | + | 0.424062i | ||||
\(71\) | 9.97420 | − | 2.12008i | 1.18372 | − | 0.251608i | 0.426329 | − | 0.904568i | \(-0.359807\pi\) |
0.757392 | + | 0.652961i | \(0.226473\pi\) | |||||||
\(72\) | −0.298335 | + | 2.83847i | −0.0351591 | + | 0.334517i | ||||
\(73\) | 1.57384 | − | 1.74793i | 0.184204 | − | 0.204579i | −0.643969 | − | 0.765051i | \(-0.722714\pi\) |
0.828173 | + | 0.560472i | \(0.189380\pi\) | |||||||
\(74\) | 7.32614 | − | 3.26181i | 0.851646 | − | 0.379177i | ||||
\(75\) | 1.23462 | + | 0.549690i | 0.142562 | + | 0.0634728i | ||||
\(76\) | −0.197097 | − | 0.218898i | −0.0226085 | − | 0.0251093i | ||||
\(77\) | −0.431619 | + | 0.313590i | −0.0491876 | + | 0.0357369i | ||||
\(78\) | 1.44512 | − | 1.04994i | 0.163628 | − | 0.118883i | ||||
\(79\) | 4.94240 | + | 5.48910i | 0.556064 | + | 0.617571i | 0.953987 | − | 0.299847i | \(-0.0969357\pi\) |
−0.397923 | + | 0.917419i | \(0.630269\pi\) | |||||||
\(80\) | 1.10453 | + | 0.491768i | 0.123490 | + | 0.0549813i | ||||
\(81\) | 7.04179 | − | 3.13521i | 0.782422 | − | 0.348357i | ||||
\(82\) | −1.25686 | + | 1.39589i | −0.138797 | + | 0.154150i | ||||
\(83\) | −0.582676 | + | 5.54379i | −0.0639570 | + | 0.608510i | 0.914860 | + | 0.403772i | \(0.132301\pi\) |
−0.978817 | + | 0.204738i | \(0.934366\pi\) | |||||||
\(84\) | 1.15280 | − | 0.245036i | 0.125781 | − | 0.0267356i | ||||
\(85\) | 1.06976 | − | 3.29239i | 0.116032 | − | 0.357109i | ||||
\(86\) | −4.72900 | − | 1.00518i | −0.509941 | − | 0.108391i | ||||
\(87\) | −1.61143 | + | 2.79108i | −0.172764 | + | 0.299235i | ||||
\(88\) | 0.0864545 | + | 0.149744i | 0.00921609 | + | 0.0159627i | ||||
\(89\) | 0.590233 | + | 1.81655i | 0.0625646 | + | 0.192554i | 0.977453 | − | 0.211153i | \(-0.0677217\pi\) |
−0.914889 | + | 0.403707i | \(0.867722\pi\) | |||||||
\(90\) | −0.360704 | − | 3.43187i | −0.0380215 | − | 0.361751i | ||||
\(91\) | 11.6736 | + | 8.48139i | 1.22373 | + | 0.889092i | ||||
\(92\) | −4.96543 | −0.517682 | ||||||||
\(93\) | −1.87908 | − | 0.995941i | −0.194851 | − | 0.103274i | ||||
\(94\) | 10.0342 | 1.03495 | ||||||||
\(95\) | 0.288120 | + | 0.209331i | 0.0295605 | + | 0.0214769i | ||||
\(96\) | −0.0399263 | − | 0.379874i | −0.00407496 | − | 0.0387707i | ||||
\(97\) | 5.32614 | + | 16.3922i | 0.540787 | + | 1.66437i | 0.730801 | + | 0.682590i | \(0.239147\pi\) |
−0.190014 | + | 0.981781i | \(0.560853\pi\) | |||||||
\(98\) | 1.26015 | + | 2.18265i | 0.127295 | + | 0.220481i | ||||
\(99\) | 0.246750 | − | 0.427384i | 0.0247993 | − | 0.0429537i | ||||
\(100\) | 3.46086 | + | 0.735629i | 0.346086 | + | 0.0735629i | ||||
\(101\) | 0.184381 | − | 0.567467i | 0.0183466 | − | 0.0564650i | −0.941464 | − | 0.337113i | \(-0.890549\pi\) |
0.959811 | + | 0.280648i | \(0.0905494\pi\) | |||||||
\(102\) | −1.06976 | + | 0.227385i | −0.105922 | + | 0.0225144i | ||||
\(103\) | 1.50329 | − | 14.3029i | 0.148124 | − | 1.40930i | −0.627751 | − | 0.778414i | \(-0.716024\pi\) |
0.775874 | − | 0.630887i | \(-0.217309\pi\) | |||||||
\(104\) | 3.12920 | − | 3.47533i | 0.306844 | − | 0.340784i | ||||
\(105\) | −1.30175 | + | 0.579576i | −0.127038 | + | 0.0565608i | ||||
\(106\) | −7.66907 | − | 3.41449i | −0.744886 | − | 0.331644i | ||||
\(107\) | 1.36623 | + | 1.51735i | 0.132078 | + | 0.146688i | 0.805556 | − | 0.592520i | \(-0.201867\pi\) |
−0.673478 | + | 0.739208i | \(0.735200\pi\) | |||||||
\(108\) | −1.80902 | + | 1.31433i | −0.174073 | + | 0.126471i | ||||
\(109\) | 6.22522 | − | 4.52289i | 0.596268 | − | 0.433214i | −0.248284 | − | 0.968687i | \(-0.579867\pi\) |
0.844552 | + | 0.535473i | \(0.179867\pi\) | |||||||
\(110\) | −0.139886 | − | 0.155360i | −0.0133376 | − | 0.0148130i | ||||
\(111\) | 2.79833 | + | 1.24590i | 0.265606 | + | 0.118255i | ||||
\(112\) | 2.81874 | − | 1.25499i | 0.266346 | − | 0.118585i | ||||
\(113\) | −8.25969 | + | 9.17331i | −0.777006 | + | 0.862953i | −0.993559 | − | 0.113318i | \(-0.963852\pi\) |
0.216553 | + | 0.976271i | \(0.430519\pi\) | |||||||
\(114\) | 0.0117606 | − | 0.111894i | 0.00110148 | − | 0.0104799i | ||||
\(115\) | 5.87230 | − | 1.24820i | 0.547595 | − | 0.116395i | ||||
\(116\) | −2.60735 | + | 8.02460i | −0.242087 | + | 0.745066i | ||||
\(117\) | −13.0556 | − | 2.77505i | −1.20699 | − | 0.256554i | ||||
\(118\) | 7.39764 | − | 12.8131i | 0.681008 | − | 1.17954i | ||||
\(119\) | −4.41726 | − | 7.65092i | −0.404930 | − | 0.701359i | ||||
\(120\) | 0.142710 | + | 0.439216i | 0.0130276 | + | 0.0400947i | ||||
\(121\) | 1.14669 | + | 10.9100i | 0.104244 | + | 0.991819i | ||||
\(122\) | −10.1631 | − | 7.38394i | −0.920126 | − | 0.668510i | ||||
\(123\) | −0.717467 | −0.0646918 | ||||||||
\(124\) | −5.35410 | − | 1.52761i | −0.480813 | − | 0.137183i | ||||
\(125\) | −10.3231 | −0.923330 | ||||||||
\(126\) | −7.12447 | − | 5.17623i | −0.634698 | − | 0.461135i | ||||
\(127\) | 1.61320 | + | 15.3486i | 0.143148 | + | 1.36196i | 0.796376 | + | 0.604802i | \(0.206748\pi\) |
−0.653227 | + | 0.757162i | \(0.726585\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.923336 | − | 1.59926i | −0.0812952 | − | 0.140807i | ||||
\(130\) | −2.82709 | + | 4.89667i | −0.247952 | + | 0.429466i | ||||
\(131\) | −10.6768 | − | 2.26943i | −0.932838 | − | 0.198281i | −0.283667 | − | 0.958923i | \(-0.591551\pi\) |
−0.649172 | + | 0.760642i | \(0.724884\pi\) | |||||||
\(132\) | −0.0204091 | + | 0.0628129i | −0.00177639 | + | 0.00546716i | ||||
\(133\) | 0.888993 | − | 0.188961i | 0.0770855 | − | 0.0163850i | ||||
\(134\) | 0.961819 | − | 9.15109i | 0.0830885 | − | 0.790534i | ||||
\(135\) | 1.80902 | − | 2.00912i | 0.155695 | − | 0.172917i | ||||
\(136\) | −2.61570 | + | 1.16458i | −0.224294 | + | 0.0998623i | ||||
\(137\) | −6.69975 | − | 2.98292i | −0.572399 | − | 0.254848i | 0.100062 | − | 0.994981i | \(-0.468096\pi\) |
−0.672461 | + | 0.740133i | \(0.734763\pi\) | |||||||
\(138\) | −1.26909 | − | 1.40947i | −0.108032 | − | 0.119982i | ||||
\(139\) | 9.77455 | − | 7.10163i | 0.829067 | − | 0.602352i | −0.0902285 | − | 0.995921i | \(-0.528760\pi\) |
0.919295 | + | 0.393569i | \(0.128760\pi\) | |||||||
\(140\) | −3.01807 | + | 2.19276i | −0.255074 | + | 0.185322i | ||||
\(141\) | 2.56460 | + | 2.84828i | 0.215978 | + | 0.239868i | ||||
\(142\) | 9.31545 | + | 4.14751i | 0.781736 | + | 0.348051i | ||||
\(143\) | −0.738705 | + | 0.328893i | −0.0617736 | + | 0.0275034i | ||||
\(144\) | −1.90977 | + | 2.12101i | −0.159147 | + | 0.176751i | ||||
\(145\) | 1.06635 | − | 10.1456i | 0.0885553 | − | 0.842547i | ||||
\(146\) | 2.30067 | − | 0.489023i | 0.190405 | − | 0.0404718i | ||||
\(147\) | −0.297482 | + | 0.915555i | −0.0245359 | + | 0.0755137i | ||||
\(148\) | 7.84421 | + | 1.66734i | 0.644790 | + | 0.137054i | ||||
\(149\) | −4.67206 | + | 8.09224i | −0.382750 | + | 0.662942i | −0.991454 | − | 0.130455i | \(-0.958356\pi\) |
0.608704 | + | 0.793397i | \(0.291690\pi\) | |||||||
\(150\) | 0.675733 | + | 1.17040i | 0.0551733 | + | 0.0955630i | ||||
\(151\) | −5.87782 | − | 18.0901i | −0.478330 | − | 1.47215i | −0.841413 | − | 0.540393i | \(-0.818276\pi\) |
0.363083 | − | 0.931757i | \(-0.381724\pi\) | |||||||
\(152\) | −0.0307895 | − | 0.292943i | −0.00249736 | − | 0.0237608i | ||||
\(153\) | 6.61127 | + | 4.80337i | 0.534489 | + | 0.388329i | ||||
\(154\) | −0.533511 | −0.0429915 | ||||||||
\(155\) | 6.71596 | + | 0.460708i | 0.539439 | + | 0.0370050i | ||||
\(156\) | 1.78627 | 0.143016 | ||||||||
\(157\) | −2.98272 | − | 2.16707i | −0.238047 | − | 0.172951i | 0.462366 | − | 0.886689i | \(-0.347001\pi\) |
−0.700413 | + | 0.713738i | \(0.747001\pi\) | |||||||
\(158\) | 0.772079 | + | 7.34584i | 0.0614233 | + | 0.584404i | ||||
\(159\) | −0.990876 | − | 3.04960i | −0.0785816 | − | 0.241849i | ||||
\(160\) | 0.604528 | + | 1.04707i | 0.0477922 | + | 0.0827785i | ||||
\(161\) | 7.66042 | − | 13.2682i | 0.603726 | − | 1.04568i | ||||
\(162\) | 7.53976 | + | 1.60263i | 0.592380 | + | 0.125914i | ||||
\(163\) | −2.90977 | + | 8.95534i | −0.227911 | + | 0.701437i | 0.770073 | + | 0.637956i | \(0.220220\pi\) |
−0.997983 | + | 0.0634802i | \(0.979780\pi\) | |||||||
\(164\) | −1.83731 | + | 0.390531i | −0.143470 | + | 0.0304954i | ||||
\(165\) | 0.00834687 | − | 0.0794152i | 0.000649803 | − | 0.00618246i | ||||
\(166\) | −3.72995 | + | 4.14253i | −0.289501 | + | 0.321523i | ||||
\(167\) | 2.99856 | − | 1.33504i | 0.232035 | − | 0.103309i | −0.287426 | − | 0.957803i | \(-0.592799\pi\) |
0.519461 | + | 0.854494i | \(0.326133\pi\) | |||||||
\(168\) | 1.07666 | + | 0.479362i | 0.0830665 | + | 0.0369836i | ||||
\(169\) | 5.93510 | + | 6.59159i | 0.456546 | + | 0.507046i | ||||
\(170\) | 2.80067 | − | 2.03481i | 0.214802 | − | 0.156062i | ||||
\(171\) | −0.680136 | + | 0.494148i | −0.0520113 | + | 0.0377884i | ||||
\(172\) | −3.23501 | − | 3.59284i | −0.246667 | − | 0.273952i | ||||
\(173\) | −0.912653 | − | 0.406340i | −0.0693878 | − | 0.0308934i | 0.371749 | − | 0.928333i | \(-0.378758\pi\) |
−0.441137 | + | 0.897440i | \(0.645425\pi\) | |||||||
\(174\) | −2.94423 | + | 1.31086i | −0.223202 | + | 0.0993758i | ||||
\(175\) | −7.30494 | + | 8.11295i | −0.552201 | + | 0.613282i | ||||
\(176\) | −0.0180739 | + | 0.171962i | −0.00136237 | + | 0.0129621i | ||||
\(177\) | 5.52780 | − | 1.17497i | 0.415495 | − | 0.0883162i | ||||
\(178\) | −0.590233 | + | 1.81655i | −0.0442398 | + | 0.136156i | ||||
\(179\) | 11.8087 | + | 2.51001i | 0.882623 | + | 0.187607i | 0.626860 | − | 0.779132i | \(-0.284340\pi\) |
0.255763 | + | 0.966739i | \(0.417673\pi\) | |||||||
\(180\) | 1.72539 | − | 2.98846i | 0.128603 | − | 0.222746i | ||||
\(181\) | 5.82236 | + | 10.0846i | 0.432772 | + | 0.749584i | 0.997111 | − | 0.0759597i | \(-0.0242020\pi\) |
−0.564338 | + | 0.825544i | \(0.690869\pi\) | |||||||
\(182\) | 4.45893 | + | 13.7232i | 0.330518 | + | 1.01723i | ||||
\(183\) | −0.501567 | − | 4.77209i | −0.0370769 | − | 0.352763i | ||||
\(184\) | −4.01712 | − | 2.91861i | −0.296146 | − | 0.215163i | ||||
\(185\) | −9.69598 | −0.712862 | ||||||||
\(186\) | −0.934808 | − | 1.91023i | −0.0685434 | − | 0.140065i | ||||
\(187\) | 0.495080 | 0.0362038 | ||||||||
\(188\) | 8.11787 | + | 5.89798i | 0.592056 | + | 0.430154i | ||||
\(189\) | −0.721182 | − | 6.86159i | −0.0524583 | − | 0.499107i | ||||
\(190\) | 0.110052 | + | 0.338705i | 0.00798400 | + | 0.0245722i | ||||
\(191\) | 3.88936 | + | 6.73657i | 0.281424 | + | 0.487441i | 0.971736 | − | 0.236071i | \(-0.0758599\pi\) |
−0.690312 | + | 0.723512i | \(0.742527\pi\) | |||||||
\(192\) | 0.190983 | − | 0.330792i | 0.0137830 | − | 0.0238729i | ||||
\(193\) | −8.13324 | − | 1.72877i | −0.585444 | − | 0.124440i | −0.0943385 | − | 0.995540i | \(-0.530074\pi\) |
−0.491105 | + | 0.871100i | \(0.663407\pi\) | |||||||
\(194\) | −5.32614 | + | 16.3922i | −0.382394 | + | 1.17689i | ||||
\(195\) | −2.11251 | + | 0.449028i | −0.151280 | + | 0.0321556i | ||||
\(196\) | −0.263444 | + | 2.50650i | −0.0188174 | + | 0.179036i | ||||
\(197\) | 6.75648 | − | 7.50383i | 0.481379 | − | 0.534626i | −0.452714 | − | 0.891656i | \(-0.649544\pi\) |
0.934093 | + | 0.357030i | \(0.116211\pi\) | |||||||
\(198\) | 0.450835 | − | 0.200725i | 0.0320394 | − | 0.0142649i | ||||
\(199\) | −1.43978 | − | 0.641031i | −0.102063 | − | 0.0454415i | 0.355070 | − | 0.934840i | \(-0.384457\pi\) |
−0.457133 | + | 0.889398i | \(0.651124\pi\) | |||||||
\(200\) | 2.36751 | + | 2.62938i | 0.167408 | + | 0.185925i | ||||
\(201\) | 2.84342 | − | 2.06587i | 0.200559 | − | 0.145715i | ||||
\(202\) | 0.482716 | − | 0.350714i | 0.0339638 | − | 0.0246761i | ||||
\(203\) | −17.4202 | − | 19.3471i | −1.22266 | − | 1.35790i | ||||
\(204\) | −0.999108 | − | 0.444832i | −0.0699516 | − | 0.0311444i | ||||
\(205\) | 2.07469 | − | 0.923713i | 0.144903 | − | 0.0645149i | ||||
\(206\) | 9.62319 | − | 10.6876i | 0.670480 | − | 0.744643i | ||||
\(207\) | −1.48136 | + | 14.0942i | −0.102962 | + | 0.979616i | ||||
\(208\) | 4.57433 | − | 0.972304i | 0.317173 | − | 0.0674171i | ||||
\(209\) | −0.0157387 | + | 0.0484387i | −0.00108867 | + | 0.00335058i | ||||
\(210\) | −1.39380 | − | 0.296262i | −0.0961815 | − | 0.0204440i | ||||
\(211\) | −4.02307 | + | 6.96816i | −0.276959 | + | 0.479708i | −0.970628 | − | 0.240587i | \(-0.922660\pi\) |
0.693668 | + | 0.720295i | \(0.255993\pi\) | |||||||
\(212\) | −4.19742 | − | 7.27014i | −0.288280 | − | 0.499316i | ||||
\(213\) | 1.20360 | + | 3.70429i | 0.0824691 | + | 0.253814i | ||||
\(214\) | 0.213426 | + | 2.03061i | 0.0145895 | + | 0.138810i | ||||
\(215\) | 4.72900 | + | 3.43582i | 0.322515 | + | 0.234321i | ||||
\(216\) | −2.23607 | −0.152145 | ||||||||
\(217\) | 12.3420 | − | 11.9501i | 0.837829 | − | 0.811225i | ||||
\(218\) | 7.69480 | 0.521157 | ||||||||
\(219\) | 0.726829 | + | 0.528072i | 0.0491146 | + | 0.0356838i | ||||
\(220\) | −0.0218524 | − | 0.207912i | −0.00147329 | − | 0.0140174i | ||||
\(221\) | −4.13774 | − | 12.7346i | −0.278334 | − | 0.856625i | ||||
\(222\) | 1.53158 | + | 2.65277i | 0.102793 | + | 0.178042i | ||||
\(223\) | 0.818319 | − | 1.41737i | 0.0547987 | − | 0.0949141i | −0.837325 | − | 0.546706i | \(-0.815882\pi\) |
0.892123 | + | 0.451792i | \(0.149215\pi\) | |||||||
\(224\) | 3.01807 | + | 0.641511i | 0.201654 | + | 0.0428628i | ||||
\(225\) | 3.12056 | − | 9.60408i | 0.208037 | − | 0.640272i | ||||
\(226\) | −12.0742 | + | 2.56644i | −0.803161 | + | 0.170717i | ||||
\(227\) | −1.87143 | + | 17.8054i | −0.124211 | + | 1.18179i | 0.737843 | + | 0.674972i | \(0.235844\pi\) |
−0.862054 | + | 0.506816i | \(0.830822\pi\) | |||||||
\(228\) | 0.0752842 | − | 0.0836116i | 0.00498582 | − | 0.00553732i | ||||
\(229\) | 2.05626 | − | 0.915504i | 0.135881 | − | 0.0604982i | −0.337670 | − | 0.941265i | \(-0.609639\pi\) |
0.473551 | + | 0.880766i | \(0.342972\pi\) | |||||||
\(230\) | 5.48446 | + | 2.44184i | 0.361635 | + | 0.161010i | ||||
\(231\) | −0.136357 | − | 0.151440i | −0.00897166 | − | 0.00996404i | ||||
\(232\) | −6.82614 | + | 4.95948i | −0.448158 | + | 0.325606i | ||||
\(233\) | 3.22539 | − | 2.34338i | 0.211302 | − | 0.153520i | −0.477101 | − | 0.878849i | \(-0.658312\pi\) |
0.688403 | + | 0.725329i | \(0.258312\pi\) | |||||||
\(234\) | −8.93107 | − | 9.91896i | −0.583842 | − | 0.648422i | ||||
\(235\) | −11.0831 | − | 4.93451i | −0.722982 | − | 0.321892i | ||||
\(236\) | 13.5162 | − | 6.01778i | 0.879827 | − | 0.391724i | ||||
\(237\) | −1.88783 | + | 2.09665i | −0.122628 | + | 0.136192i | ||||
\(238\) | 0.923459 | − | 8.78613i | 0.0598590 | − | 0.569520i | ||||
\(239\) | −21.5117 | + | 4.57246i | −1.39148 | + | 0.295768i | −0.841882 | − | 0.539662i | \(-0.818552\pi\) |
−0.549597 | + | 0.835430i | \(0.685219\pi\) | |||||||
\(240\) | −0.142710 | + | 0.439216i | −0.00921188 | + | 0.0283512i | ||||
\(241\) | −3.92610 | − | 0.834517i | −0.252902 | − | 0.0537560i | 0.0797160 | − | 0.996818i | \(-0.474599\pi\) |
−0.332618 | + | 0.943062i | \(0.607932\pi\) | |||||||
\(242\) | −5.48505 | + | 9.50039i | −0.352592 | + | 0.610708i | ||||
\(243\) | 4.82624 | + | 8.35929i | 0.309603 | + | 0.536249i | ||||
\(244\) | −3.88197 | − | 11.9475i | −0.248517 | − | 0.764858i | ||||
\(245\) | −0.318519 | − | 3.03050i | −0.0203494 | − | 0.193612i | ||||
\(246\) | −0.580443 | − | 0.421716i | −0.0370077 | − | 0.0268877i | ||||
\(247\) | 1.37750 | 0.0876482 | ||||||||
\(248\) | −3.43365 | − | 4.38292i | −0.218037 | − | 0.278316i | ||||
\(249\) | −2.12920 | −0.134933 | ||||||||
\(250\) | −8.35160 | − | 6.06779i | −0.528202 | − | 0.383761i | ||||
\(251\) | −1.61820 | − | 15.3961i | −0.102140 | − | 0.971796i | −0.918812 | − | 0.394694i | \(-0.870850\pi\) |
0.816673 | − | 0.577101i | \(-0.195816\pi\) | |||||||
\(252\) | −2.72131 | − | 8.37532i | −0.171426 | − | 0.527595i | ||||
\(253\) | 0.429284 | + | 0.743542i | 0.0269889 | + | 0.0467461i | ||||
\(254\) | −7.71655 | + | 13.3655i | −0.484179 | + | 0.838623i | ||||
\(255\) | 1.29340 | + | 0.274921i | 0.0809960 | + | 0.0172162i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −1.60075 | + | 0.340250i | −0.0998520 | + | 0.0212242i | −0.257567 | − | 0.966261i | \(-0.582921\pi\) |
0.157715 | + | 0.987485i | \(0.449587\pi\) | |||||||
\(258\) | 0.193030 | − | 1.83655i | 0.0120175 | − | 0.114339i | ||||
\(259\) | −16.5570 | + | 18.3884i | −1.02880 | + | 1.14260i | ||||
\(260\) | −5.16535 | + | 2.29976i | −0.320342 | + | 0.142625i | ||||
\(261\) | 21.9997 | + | 9.79490i | 1.36175 | + | 0.606289i | ||||
\(262\) | −7.30380 | − | 8.11169i | −0.451230 | − | 0.501142i | ||||
\(263\) | 23.7356 | − | 17.2449i | 1.46360 | − | 1.06337i | 0.481191 | − | 0.876616i | \(-0.340204\pi\) |
0.982407 | − | 0.186750i | \(-0.0597955\pi\) | |||||||
\(264\) | −0.0534318 | + | 0.0388205i | −0.00328850 | + | 0.00238924i | ||||
\(265\) | 6.79157 | + | 7.54280i | 0.417203 | + | 0.463351i | ||||
\(266\) | 0.830279 | + | 0.369664i | 0.0509077 | + | 0.0226656i | ||||
\(267\) | −0.666494 | + | 0.296742i | −0.0407887 | + | 0.0181603i | ||||
\(268\) | 6.15701 | − | 6.83805i | 0.376099 | − | 0.417700i | ||||
\(269\) | −1.78095 | + | 16.9446i | −0.108586 | + | 1.03313i | 0.795550 | + | 0.605887i | \(0.207182\pi\) |
−0.904137 | + | 0.427243i | \(0.859485\pi\) | |||||||
\(270\) | 2.64445 | − | 0.562096i | 0.160936 | − | 0.0342081i | ||||
\(271\) | −2.51476 | + | 7.73964i | −0.152761 | + | 0.470150i | −0.997927 | − | 0.0643538i | \(-0.979501\pi\) |
0.845166 | + | 0.534504i | \(0.179501\pi\) | |||||||
\(272\) | −2.80067 | − | 0.595301i | −0.169816 | − | 0.0360954i | ||||
\(273\) | −2.75577 | + | 4.77314i | −0.166787 | + | 0.288883i | ||||
\(274\) | −3.66690 | − | 6.35125i | −0.221525 | − | 0.383693i | ||||
\(275\) | −0.189052 | − | 0.581841i | −0.0114002 | − | 0.0350863i | ||||
\(276\) | −0.198251 | − | 1.88624i | −0.0119333 | − | 0.113538i | ||||
\(277\) | −15.0659 | − | 10.9460i | −0.905219 | − | 0.657680i | 0.0345819 | − | 0.999402i | \(-0.488990\pi\) |
−0.939801 | + | 0.341722i | \(0.888990\pi\) | |||||||
\(278\) | 12.0820 | 0.724631 | ||||||||
\(279\) | −5.93339 | + | 14.7417i | −0.355223 | + | 0.882563i | ||||
\(280\) | −3.73054 | −0.222943 | ||||||||
\(281\) | −1.94842 | − | 1.41561i | −0.116233 | − | 0.0844480i | 0.528150 | − | 0.849151i | \(-0.322886\pi\) |
−0.644383 | + | 0.764703i | \(0.722886\pi\) | |||||||
\(282\) | 0.400630 | + | 3.81174i | 0.0238572 | + | 0.226986i | ||||
\(283\) | −5.09011 | − | 15.6657i | −0.302575 | − | 0.931231i | −0.980571 | − | 0.196165i | \(-0.937151\pi\) |
0.677995 | − | 0.735066i | \(-0.262849\pi\) | |||||||
\(284\) | 5.09852 | + | 8.83089i | 0.302541 | + | 0.524017i | ||||
\(285\) | −0.0680158 | + | 0.117807i | −0.00402891 | + | 0.00697828i | ||||
\(286\) | −0.790943 | − | 0.168120i | −0.0467694 | − | 0.00994115i | ||||
\(287\) | 1.79096 | − | 5.51200i | 0.105717 | − | 0.325363i | ||||
\(288\) | −2.79173 | + | 0.593401i | −0.164504 | + | 0.0349665i | ||||
\(289\) | 0.920045 | − | 8.75365i | 0.0541203 | − | 0.514920i | ||||
\(290\) | 6.82614 | − | 7.58119i | 0.400844 | − | 0.445183i | ||||
\(291\) | −6.01430 | + | 2.67774i | −0.352564 | + | 0.156972i | ||||
\(292\) | 2.14872 | + | 0.956672i | 0.125744 | + | 0.0559850i | ||||
\(293\) | 12.3062 | + | 13.6675i | 0.718938 | + | 0.798461i | 0.986270 | − | 0.165143i | \(-0.0528086\pi\) |
−0.267332 | + | 0.963605i | \(0.586142\pi\) | |||||||
\(294\) | −0.778818 | + | 0.565844i | −0.0454216 | + | 0.0330007i | ||||
\(295\) | −14.4720 | + | 10.5145i | −0.842591 | + | 0.612178i | ||||
\(296\) | 5.36606 | + | 5.95962i | 0.311896 | + | 0.346396i | ||||
\(297\) | 0.353210 | + | 0.157259i | 0.0204953 | + | 0.00912511i | ||||
\(298\) | −8.53627 | + | 3.80059i | −0.494493 | + | 0.220162i | ||||
\(299\) | 15.5379 | − | 17.2565i | 0.898577 | − | 0.997971i | ||||
\(300\) | −0.141267 | + | 1.34406i | −0.00815603 | + | 0.0775994i | ||||
\(301\) | 14.5913 | − | 3.10148i | 0.841030 | − | 0.178766i | ||||
\(302\) | 5.87782 | − | 18.0901i | 0.338231 | − | 1.04097i | ||||
\(303\) | 0.222927 | + | 0.0473846i | 0.0128068 | + | 0.00272218i | ||||
\(304\) | 0.147278 | − | 0.255093i | 0.00844698 | − | 0.0146306i | ||||
\(305\) | 7.59427 | + | 13.1537i | 0.434847 | + | 0.753177i | ||||
\(306\) | 2.52528 | + | 7.77201i | 0.144361 | + | 0.444296i | ||||
\(307\) | 2.75332 | + | 26.1961i | 0.157140 | + | 1.49509i | 0.734506 | + | 0.678603i | \(0.237414\pi\) |
−0.577365 | + | 0.816486i | \(0.695919\pi\) | |||||||
\(308\) | −0.431619 | − | 0.313590i | −0.0245938 | − | 0.0178684i | ||||
\(309\) | 5.49330 | 0.312503 | ||||||||
\(310\) | 5.16253 | + | 4.32026i | 0.293212 | + | 0.245374i | ||||
\(311\) | 19.7294 | 1.11875 | 0.559377 | − | 0.828913i | \(-0.311040\pi\) | ||||
0.559377 | + | 0.828913i | \(0.311040\pi\) | |||||||
\(312\) | 1.44512 | + | 1.04994i | 0.0818141 | + | 0.0594414i | ||||
\(313\) | −1.13534 | − | 10.8020i | −0.0641732 | − | 0.610567i | −0.978594 | − | 0.205802i | \(-0.934020\pi\) |
0.914421 | − | 0.404765i | \(-0.132647\pi\) | |||||||
\(314\) | −1.13930 | − | 3.50639i | −0.0642942 | − | 0.197877i | ||||
\(315\) | 5.32368 | + | 9.22088i | 0.299955 | + | 0.519538i | ||||
\(316\) | −3.69315 | + | 6.39673i | −0.207756 | + | 0.359844i | ||||
\(317\) | 29.1091 | + | 6.18733i | 1.63493 | + | 0.347515i | 0.931638 | − | 0.363387i | \(-0.118380\pi\) |
0.703291 | + | 0.710902i | \(0.251713\pi\) | |||||||
\(318\) | 0.990876 | − | 3.04960i | 0.0555656 | − | 0.171013i | ||||
\(319\) | 1.42705 | − | 0.303329i | 0.0798995 | − | 0.0169832i | ||||
\(320\) | −0.126381 | + | 1.20243i | −0.00706490 | + | 0.0672181i | ||||
\(321\) | −0.521852 | + | 0.579576i | −0.0291270 | + | 0.0323488i | ||||
\(322\) | 13.9963 | − | 6.23155i | 0.779982 | − | 0.347270i | ||||
\(323\) | −0.770471 | − | 0.343036i | −0.0428701 | − | 0.0190870i | ||||
\(324\) | 5.15780 | + | 5.72831i | 0.286544 | + | 0.318240i | ||||
\(325\) | −13.3863 | + | 9.72572i | −0.742539 | + | 0.539486i | ||||
\(326\) | −7.61787 | + | 5.53471i | −0.421915 | + | 0.306539i | ||||
\(327\) | 1.96668 | + | 2.18421i | 0.108757 | + | 0.120787i | ||||
\(328\) | −1.71596 | − | 0.763995i | −0.0947481 | − | 0.0421846i | ||||
\(329\) | −28.2839 | + | 12.5928i | −1.55934 | + | 0.694265i | ||||
\(330\) | 0.0534318 | − | 0.0593421i | 0.00294133 | − | 0.00326667i | ||||
\(331\) | 0.862546 | − | 8.20658i | 0.0474098 | − | 0.451074i | −0.944906 | − | 0.327342i | \(-0.893847\pi\) |
0.992316 | − | 0.123732i | \(-0.0394864\pi\) | |||||||
\(332\) | −5.45252 | + | 1.15897i | −0.299246 | + | 0.0636066i | ||||
\(333\) | 7.07289 | − | 21.7681i | 0.387592 | − | 1.19288i | ||||
\(334\) | 3.21060 | + | 0.682435i | 0.175676 | + | 0.0373412i | ||||
\(335\) | −5.56257 | + | 9.63465i | −0.303916 | + | 0.526397i | ||||
\(336\) | 0.589278 | + | 1.02066i | 0.0321477 | + | 0.0556815i | ||||
\(337\) | −10.1245 | − | 31.1601i | −0.551519 | − | 1.69740i | −0.704965 | − | 0.709242i | \(-0.749037\pi\) |
0.153446 | − | 0.988157i | \(-0.450963\pi\) | |||||||
\(338\) | 0.927153 | + | 8.82127i | 0.0504305 | + | 0.479814i | ||||
\(339\) | −3.81448 | − | 2.77138i | −0.207174 | − | 0.150521i | ||||
\(340\) | 3.46182 | 0.187743 | ||||||||
\(341\) | 0.234137 | + | 0.933812i | 0.0126792 | + | 0.0505687i | ||||
\(342\) | −0.840694 | −0.0454595 | ||||||||
\(343\) | 11.1823 | + | 8.12442i | 0.603788 | + | 0.438677i | ||||
\(344\) | −0.505358 | − | 4.80816i | −0.0272471 | − | 0.259239i | ||||
\(345\) | 0.708616 | + | 2.18090i | 0.0381506 | + | 0.117415i | ||||
\(346\) | −0.499512 | − | 0.865180i | −0.0268539 | − | 0.0465124i | ||||
\(347\) | 1.86878 | − | 3.23683i | 0.100322 | − | 0.173762i | −0.811496 | − | 0.584359i | \(-0.801346\pi\) |
0.911817 | + | 0.410597i | \(0.134680\pi\) | |||||||
\(348\) | −3.15244 | − | 0.670071i | −0.168988 | − | 0.0359196i | ||||
\(349\) | 5.25577 | − | 16.1756i | 0.281335 | − | 0.865860i | −0.706138 | − | 0.708074i | \(-0.749564\pi\) |
0.987473 | − | 0.157786i | \(-0.0504357\pi\) | |||||||
\(350\) | −10.6785 | + | 2.26978i | −0.570789 | + | 0.121325i | ||||
\(351\) | 1.09306 | − | 10.3997i | 0.0583430 | − | 0.555097i | ||||
\(352\) | −0.115699 | + | 0.128496i | −0.00616676 | + | 0.00684889i | ||||
\(353\) | 1.49281 | − | 0.664641i | 0.0794541 | − | 0.0353753i | −0.366625 | − | 0.930369i | \(-0.619487\pi\) |
0.446079 | + | 0.894994i | \(0.352820\pi\) | |||||||
\(354\) | 5.16272 | + | 2.29859i | 0.274395 | + | 0.122169i | ||||
\(355\) | −8.24957 | − | 9.16208i | −0.437842 | − | 0.486273i | ||||
\(356\) | −1.54525 | + | 1.12269i | −0.0818981 | + | 0.0595024i | ||||
\(357\) | 2.73002 | − | 1.98347i | 0.144488 | − | 0.104977i | ||||
\(358\) | 8.07808 | + | 8.97162i | 0.426940 | + | 0.474165i | ||||
\(359\) | −28.1923 | − | 12.5520i | −1.48793 | − | 0.662469i | −0.507918 | − | 0.861405i | \(-0.669585\pi\) |
−0.980012 | + | 0.198936i | \(0.936251\pi\) | |||||||
\(360\) | 3.15244 | − | 1.40356i | 0.166148 | − | 0.0739739i | ||||
\(361\) | −12.6554 | + | 14.0553i | −0.666075 | + | 0.739751i | ||||
\(362\) | −1.21720 | + | 11.5809i | −0.0639748 | + | 0.608680i | ||||
\(363\) | −4.09864 | + | 0.871193i | −0.215123 | + | 0.0457258i | ||||
\(364\) | −4.45893 | + | 13.7232i | −0.233712 | + | 0.719290i | ||||
\(365\) | −2.78164 | − | 0.591256i | −0.145598 | − | 0.0309478i | ||||
\(366\) | 2.39919 | − | 4.15551i | 0.125408 | − | 0.217212i | ||||
\(367\) | −4.66216 | − | 8.07510i | −0.243363 | − | 0.421517i | 0.718307 | − | 0.695726i | \(-0.244917\pi\) |
−0.961670 | + | 0.274209i | \(0.911584\pi\) | |||||||
\(368\) | −1.53440 | − | 4.72241i | −0.0799863 | − | 0.246172i | ||||
\(369\) | 0.560378 | + | 5.33164i | 0.0291721 | + | 0.277554i | ||||
\(370\) | −7.84421 | − | 5.69915i | −0.407801 | − | 0.296285i | ||||
\(371\) | 25.9023 | 1.34478 | ||||||||
\(372\) | 0.366529 | − | 2.09487i | 0.0190036 | − | 0.108614i | ||||
\(373\) | −2.91508 | −0.150937 | −0.0754685 | − | 0.997148i | \(-0.524045\pi\) | ||||
−0.0754685 | + | 0.997148i | \(0.524045\pi\) | |||||||
\(374\) | 0.400528 | + | 0.291001i | 0.0207108 | + | 0.0150473i | ||||
\(375\) | −0.412165 | − | 3.92149i | −0.0212841 | − | 0.202505i | ||||
\(376\) | 3.10075 | + | 9.54313i | 0.159909 | + | 0.492149i | ||||
\(377\) | −19.7292 | − | 34.1720i | −1.01611 | − | 1.75995i | ||||
\(378\) | 3.44969 | − | 5.97504i | 0.177433 | − | 0.307323i | ||||
\(379\) | −14.8615 | − | 3.15892i | −0.763385 | − | 0.162263i | −0.190264 | − | 0.981733i | \(-0.560934\pi\) |
−0.573122 | + | 0.819470i | \(0.694268\pi\) | |||||||
\(380\) | −0.110052 | + | 0.338705i | −0.00564554 | + | 0.0173752i | ||||
\(381\) | −5.76610 | + | 1.22562i | −0.295406 | + | 0.0627906i | ||||
\(382\) | −0.813097 | + | 7.73610i | −0.0416017 | + | 0.395813i | ||||
\(383\) | −6.95463 | + | 7.72390i | −0.355365 | + | 0.394673i | −0.894148 | − | 0.447772i | \(-0.852218\pi\) |
0.538783 | + | 0.842445i | \(0.318884\pi\) | |||||||
\(384\) | 0.348943 | − | 0.155360i | 0.0178069 | − | 0.00792816i | ||||
\(385\) | 0.589278 | + | 0.262363i | 0.0300324 | + | 0.0133713i | ||||
\(386\) | −5.56378 | − | 6.17921i | −0.283189 | − | 0.314513i | ||||
\(387\) | −11.1633 | + | 8.11060i | −0.567462 | + | 0.412285i | ||||
\(388\) | −13.9440 | + | 10.1309i | −0.707900 | + | 0.514319i | ||||
\(389\) | 3.37085 | + | 3.74371i | 0.170909 | + | 0.189814i | 0.822514 | − | 0.568745i | \(-0.192571\pi\) |
−0.651605 | + | 0.758558i | \(0.725904\pi\) | |||||||
\(390\) | −1.97299 | − | 0.878431i | −0.0999062 | − | 0.0444811i | ||||
\(391\) | −12.9881 | + | 5.78266i | −0.656835 | + | 0.292442i | ||||
\(392\) | −1.68641 | + | 1.87295i | −0.0851768 | + | 0.0945984i | ||||
\(393\) | 0.435810 | − | 4.14645i | 0.0219837 | − | 0.209161i | ||||
\(394\) | 9.87674 | − | 2.09937i | 0.497583 | − | 0.105765i | ||||
\(395\) | 2.75967 | − | 8.49338i | 0.138854 | − | 0.427348i | ||||
\(396\) | 0.482716 | + | 0.102604i | 0.0242574 | + | 0.00515607i | ||||
\(397\) | 5.06645 | − | 8.77535i | 0.254278 | − | 0.440422i | −0.710421 | − | 0.703777i | \(-0.751496\pi\) |
0.964699 | + | 0.263355i | \(0.0848289\pi\) | |||||||
\(398\) | −0.788018 | − | 1.36489i | −0.0394998 | − | 0.0684156i | ||||
\(399\) | 0.107276 | + | 0.330160i | 0.00537050 | + | 0.0165287i | ||||
\(400\) | 0.369841 | + | 3.51880i | 0.0184920 | + | 0.175940i | ||||
\(401\) | −29.3562 | − | 21.3285i | −1.46598 | − | 1.06510i | −0.981754 | − | 0.190154i | \(-0.939101\pi\) |
−0.484226 | − | 0.874943i | \(-0.660899\pi\) | |||||||
\(402\) | 3.51466 | 0.175295 | ||||||||
\(403\) | 22.0630 | − | 13.8271i | 1.09904 | − | 0.688776i | ||||
\(404\) | 0.596670 | 0.0296854 | ||||||||
\(405\) | −7.53976 | − | 5.47796i | −0.374654 | − | 0.272202i | ||||
\(406\) | −2.72131 | − | 25.8915i | −0.135056 | − | 1.28497i | ||||
\(407\) | −0.428494 | − | 1.31877i | −0.0212397 | − | 0.0653690i | ||||
\(408\) | −0.546830 | − | 0.947137i | −0.0270721 | − | 0.0468903i | ||||
\(409\) | −19.0880 | + | 33.0613i | −0.943839 | + | 1.63478i | −0.185779 | + | 0.982592i | \(0.559481\pi\) |
−0.758060 | + | 0.652185i | \(0.773852\pi\) | |||||||
\(410\) | 2.22141 | + | 0.472175i | 0.109708 | + | 0.0233191i | ||||
\(411\) | 0.865637 | − | 2.66416i | 0.0426987 | − | 0.131413i | ||||
\(412\) | 14.0674 | − | 2.99011i | 0.693049 | − | 0.147312i | ||||
\(413\) | −4.77181 | + | 45.4008i | −0.234806 | + | 2.23403i | ||||
\(414\) | −9.48282 | + | 10.5317i | −0.466055 | + | 0.517607i | ||||
\(415\) | 6.15701 | − | 2.74128i | 0.302236 | − | 0.134564i | ||||
\(416\) | 4.27222 | + | 1.90211i | 0.209463 | + | 0.0932588i | ||||
\(417\) | 3.08798 | + | 3.42955i | 0.151219 | + | 0.167946i | ||||
\(418\) | −0.0412044 | + | 0.0299368i | −0.00201537 | + | 0.00146426i | ||||
\(419\) | −0.0687037 | + | 0.0499161i | −0.00335639 | + | 0.00243856i | −0.589462 | − | 0.807796i | \(-0.700660\pi\) |
0.586106 | + | 0.810235i | \(0.300660\pi\) | |||||||
\(420\) | −0.953472 | − | 1.05894i | −0.0465247 | − | 0.0516709i | ||||
\(421\) | 10.3419 | + | 4.60453i | 0.504035 | + | 0.224411i | 0.642971 | − | 0.765890i | \(-0.277702\pi\) |
−0.138936 | + | 0.990301i | \(0.544368\pi\) | |||||||
\(422\) | −7.35051 | + | 3.27266i | −0.357817 | + | 0.159310i | ||||
\(423\) | 19.1631 | − | 21.2827i | 0.931740 | − | 1.03480i | ||||
\(424\) | 0.877500 | − | 8.34885i | 0.0426152 | − | 0.405456i | ||||
\(425\) | 9.90928 | − | 2.10628i | 0.480671 | − | 0.102170i | ||||
\(426\) | −1.20360 | + | 3.70429i | −0.0583144 | + | 0.179473i | ||||
\(427\) | 37.9140 | + | 8.05886i | 1.83479 | + | 0.389996i | ||||
\(428\) | −1.02090 | + | 1.76825i | −0.0493469 | + | 0.0854714i | ||||
\(429\) | −0.154431 | − | 0.267483i | −0.00745602 | − | 0.0129142i | ||||
\(430\) | 1.80632 | + | 5.55927i | 0.0871083 | + | 0.268092i | ||||
\(431\) | 0.107806 | + | 1.02570i | 0.00519281 | + | 0.0494063i | 0.996811 | − | 0.0797931i | \(-0.0254260\pi\) |
−0.991619 | + | 0.129199i | \(0.958759\pi\) | |||||||
\(432\) | −1.80902 | − | 1.31433i | −0.0870364 | − | 0.0632356i | ||||
\(433\) | 32.9911 | 1.58545 | 0.792724 | − | 0.609580i | \(-0.208662\pi\) | ||||
0.792724 | + | 0.609580i | \(0.208662\pi\) | |||||||
\(434\) | 17.0090 | − | 2.41338i | 0.816457 | − | 0.115846i | ||||
\(435\) | 3.89663 | 0.186829 | ||||||||
\(436\) | 6.22522 | + | 4.52289i | 0.298134 | + | 0.216607i | ||||
\(437\) | −0.152883 | − | 1.45459i | −0.00731340 | − | 0.0695824i | ||||
\(438\) | 0.277624 | + | 0.854439i | 0.0132654 | + | 0.0408267i | ||||
\(439\) | 1.73887 | + | 3.01181i | 0.0829917 | + | 0.143746i | 0.904534 | − | 0.426402i | \(-0.140219\pi\) |
−0.821542 | + | 0.570148i | \(0.806886\pi\) | |||||||
\(440\) | 0.104528 | − | 0.181049i | 0.00498320 | − | 0.00863115i | ||||
\(441\) | 7.03602 | + | 1.49555i | 0.335049 | + | 0.0712168i | ||||
\(442\) | 4.13774 | − | 12.7346i | 0.196812 | − | 0.605725i | ||||
\(443\) | −11.6239 | + | 2.47074i | −0.552269 | + | 0.117388i | −0.475589 | − | 0.879667i | \(-0.657765\pi\) |
−0.0766795 | + | 0.997056i | \(0.524432\pi\) | |||||||
\(444\) | −0.320187 | + | 3.04638i | −0.0151954 | + | 0.144575i | ||||
\(445\) | 1.54525 | − | 1.71617i | 0.0732519 | − | 0.0813545i | ||||
\(446\) | 1.49514 | − | 0.665681i | 0.0707971 | − | 0.0315209i | ||||
\(447\) | −3.26057 | − | 1.45170i | −0.154219 | − | 0.0686629i | ||||
\(448\) | 2.06460 | + | 2.29297i | 0.0975433 | + | 0.108333i | ||||
\(449\) | −27.9054 | + | 20.2745i | −1.31694 | + | 0.956811i | −0.316972 | + | 0.948435i | \(0.602666\pi\) |
−0.999965 | + | 0.00837591i | \(0.997334\pi\) | |||||||
\(450\) | 8.16972 | − | 5.93565i | 0.385124 | − | 0.279809i | ||||
\(451\) | 0.217323 | + | 0.241362i | 0.0102333 | + | 0.0113653i | ||||
\(452\) | −11.2767 | − | 5.02072i | −0.530412 | − | 0.236155i | ||||
\(453\) | 6.63726 | − | 2.95510i | 0.311846 | − | 0.138843i | ||||
\(454\) | −11.9798 | + | 13.3049i | −0.562240 | + | 0.624430i | ||||
\(455\) | 1.82360 | − | 17.3504i | 0.0854917 | − | 0.813399i | ||||
\(456\) | 0.110052 | − | 0.0233923i | 0.00515365 | − | 0.00109544i | ||||
\(457\) | 7.48925 | − | 23.0496i | 0.350333 | − | 1.07821i | −0.608334 | − | 0.793681i | \(-0.708162\pi\) |
0.958667 | − | 0.284532i | \(-0.0918381\pi\) | |||||||
\(458\) | 2.20167 | + | 0.467978i | 0.102877 | + | 0.0218672i | ||||
\(459\) | −3.20120 | + | 5.54464i | −0.149419 | + | 0.258802i | ||||
\(460\) | 3.00174 | + | 5.19917i | 0.139957 | + | 0.242413i | ||||
\(461\) | 7.16703 | + | 22.0579i | 0.333802 | + | 1.02734i | 0.967309 | + | 0.253600i | \(0.0816148\pi\) |
−0.633507 | + | 0.773737i | \(0.718385\pi\) | |||||||
\(462\) | −0.0213011 | − | 0.202667i | −0.000991018 | − | 0.00942891i | ||||
\(463\) | 11.5518 | + | 8.39287i | 0.536857 | + | 0.390050i | 0.822916 | − | 0.568162i | \(-0.192345\pi\) |
−0.286059 | + | 0.958212i | \(0.592345\pi\) | |||||||
\(464\) | −8.43757 | −0.391704 | ||||||||
\(465\) | 0.0931327 | + | 2.56961i | 0.00431893 | + | 0.119163i | ||||
\(466\) | 3.98680 | 0.184685 | ||||||||
\(467\) | 18.5900 | + | 13.5064i | 0.860243 | + | 0.625003i | 0.927951 | − | 0.372702i | \(-0.121569\pi\) |
−0.0677082 | + | 0.997705i | \(0.521569\pi\) | |||||||
\(468\) | −1.39517 | − | 13.2742i | −0.0644917 | − | 0.613598i | ||||
\(469\) | 8.77337 | + | 27.0017i | 0.405117 | + | 1.24682i | ||||
\(470\) | −6.06598 | − | 10.5066i | −0.279803 | − | 0.484633i | ||||
\(471\) | 0.704124 | − | 1.21958i | 0.0324443 | − | 0.0561952i | ||||
\(472\) | 14.4720 | + | 3.07611i | 0.666126 | + | 0.141590i | ||||
\(473\) | −0.258324 | + | 0.795040i | −0.0118778 | + | 0.0365560i | ||||
\(474\) | −2.75967 | + | 0.586585i | −0.126756 | + | 0.0269427i | ||||
\(475\) | −0.108939 | + | 1.03648i | −0.00499846 | + | 0.0475572i | ||||
\(476\) | 5.91145 | − | 6.56533i | 0.270951 | − | 0.300921i | ||||
\(477\) | −21.8883 | + | 9.74530i | −1.00220 | + | 0.446207i | ||||
\(478\) | −20.0910 | − | 8.94508i | −0.918940 | − | 0.409138i | ||||
\(479\) | −1.42094 | − | 1.57811i | −0.0649243 | − | 0.0721057i | 0.709808 | − | 0.704396i | \(-0.248782\pi\) |
−0.774732 | + | 0.632290i | \(0.782115\pi\) | |||||||
\(480\) | −0.373619 | + | 0.271450i | −0.0170533 | + | 0.0123899i | ||||
\(481\) | −30.3407 | + | 22.0438i | −1.38342 | + | 1.00511i | ||||
\(482\) | −2.68576 | − | 2.98284i | −0.122333 | − | 0.135865i | ||||
\(483\) | 5.34610 | + | 2.38024i | 0.243256 | + | 0.108305i | ||||
\(484\) | −10.0217 | + | 4.46194i | −0.455531 | + | 0.202816i | ||||
\(485\) | 13.9440 | − | 15.4864i | 0.633165 | − | 0.703201i | ||||
\(486\) | −1.00896 | + | 9.59960i | −0.0457673 | + | 0.435447i | ||||
\(487\) | 24.6947 | − | 5.24902i | 1.11902 | − | 0.237856i | 0.388973 | − | 0.921249i | \(-0.372830\pi\) |
0.730050 | + | 0.683393i | \(0.239497\pi\) | |||||||
\(488\) | 3.88197 | − | 11.9475i | 0.175728 | − | 0.540836i | ||||
\(489\) | −3.51807 | − | 0.747790i | −0.159093 | − | 0.0338162i | ||||
\(490\) | 1.52360 | − | 2.63895i | 0.0688291 | − | 0.119216i | ||||
\(491\) | 8.86239 | + | 15.3501i | 0.399954 | + | 0.692740i | 0.993720 | − | 0.111897i | \(-0.0356928\pi\) |
−0.593766 | + | 0.804638i | \(0.702359\pi\) | |||||||
\(492\) | −0.221709 | − | 0.682352i | −0.00999543 | − | 0.0307628i | ||||
\(493\) | 2.52528 | + | 24.0264i | 0.113733 | + | 1.08210i | ||||
\(494\) | 1.11442 | + | 0.809674i | 0.0501402 | + | 0.0364290i | ||||
\(495\) | −0.596670 | −0.0268183 | ||||||||
\(496\) | −0.201665 | − | 5.56411i | −0.00905503 | − | 0.249836i | ||||
\(497\) | −31.4629 | −1.41131 | ||||||||
\(498\) | −1.72256 | − | 1.25151i | −0.0771899 | − | 0.0560817i | ||||
\(499\) | −2.92958 | − | 27.8731i | −0.131146 | − | 1.24777i | −0.840067 | − | 0.542483i | \(-0.817484\pi\) |
0.708921 | − | 0.705288i | \(-0.249182\pi\) | |||||||
\(500\) | −3.19003 | − | 9.81790i | −0.142662 | − | 0.439070i | ||||
\(501\) | 0.626869 | + | 1.08577i | 0.0280064 | + | 0.0485086i | ||||
\(502\) | 7.74047 | − | 13.4069i | 0.345474 | − | 0.598379i | ||||
\(503\) | −2.84310 | − | 0.604319i | −0.126767 | − | 0.0269452i | 0.144091 | − | 0.989564i | \(-0.453974\pi\) |
−0.270858 | + | 0.962619i | \(0.587308\pi\) | |||||||
\(504\) | 2.72131 | − | 8.37532i | 0.121217 | − | 0.373066i | ||||
\(505\) | −0.705643 | + | 0.149989i | −0.0314007 | + | 0.00667443i | ||||
\(506\) | −0.0897448 | + | 0.853865i | −0.00398964 | + | 0.0379589i | ||||
\(507\) | −2.26700 | + | 2.51776i | −0.100681 | + | 0.111818i | ||||
\(508\) | −14.0988 | + | 6.27721i | −0.625535 | + | 0.278506i | ||||
\(509\) | 30.3548 | + | 13.5148i | 1.34545 | + | 0.599034i | 0.947907 | − | 0.318548i | \(-0.103195\pi\) |
0.397546 | + | 0.917582i | \(0.369862\pi\) | |||||||
\(510\) | 0.884789 | + | 0.982658i | 0.0391791 | + | 0.0435128i | ||||
\(511\) | −5.87128 | + | 4.26574i | −0.259730 | + | 0.188705i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | −0.440722 | − | 0.489471i | −0.0194583 | − | 0.0216107i | ||||
\(514\) | −1.49503 | − | 0.665629i | −0.0659429 | − | 0.0293596i | ||||
\(515\) | −15.8849 | + | 7.07242i | −0.699973 | + | 0.311648i | ||||
\(516\) | 1.23566 | − | 1.37234i | 0.0543971 | − | 0.0604141i | ||||
\(517\) | 0.181358 | − | 1.72551i | 0.00797612 | − | 0.0758877i | ||||
\(518\) | −24.2033 | + | 5.14457i | −1.06343 | + | 0.226039i | ||||
\(519\) | 0.117919 | − | 0.362917i | 0.00517606 | − | 0.0159303i | ||||
\(520\) | −5.53062 | − | 1.17557i | −0.242534 | − | 0.0515522i | ||||
\(521\) | 14.0372 | − | 24.3131i | 0.614979 | − | 1.06518i | −0.375409 | − | 0.926859i | \(-0.622498\pi\) |
0.990388 | − | 0.138316i | \(-0.0441689\pi\) | |||||||
\(522\) | 12.0408 | + | 20.8553i | 0.527013 | + | 0.912814i | ||||
\(523\) | −2.24525 | − | 6.91018i | −0.0981781 | − | 0.302161i | 0.889891 | − | 0.456174i | \(-0.150780\pi\) |
−0.988069 | + | 0.154012i | \(0.950780\pi\) | |||||||
\(524\) | −1.14096 | − | 10.8556i | −0.0498433 | − | 0.474227i | ||||
\(525\) | −3.37356 | − | 2.45103i | −0.147234 | − | 0.106972i | ||||
\(526\) | 29.3388 | 1.27923 | ||||||||
\(527\) | −15.7837 | + | 2.23953i | −0.687551 | + | 0.0975557i | ||||
\(528\) | −0.0660454 | −0.00287426 | ||||||||
\(529\) | −1.33934 | − | 0.973087i | −0.0582322 | − | 0.0423081i | ||||
\(530\) | 1.06095 | + | 10.0942i | 0.0460846 | + | 0.438466i | ||||
\(531\) | −13.0489 | − | 40.1605i | −0.566276 | − | 1.74282i | ||||
\(532\) | 0.454427 | + | 0.787090i | 0.0197019 | + | 0.0341247i | ||||
\(533\) | 4.39208 | − | 7.60730i | 0.190242 | − | 0.329509i | ||||
\(534\) | −0.713625 | − | 0.151686i | −0.0308816 | − | 0.00656408i | ||||
\(535\) | 0.762854 | − | 2.34782i | 0.0329810 | − | 0.101505i | ||||
\(536\) | 9.00043 | − | 1.91310i | 0.388759 | − | 0.0826333i | ||||
\(537\) | −0.482010 | + | 4.58602i | −0.0208003 | + | 0.197902i | ||||
\(538\) | −11.4006 | + | 12.6617i | −0.491515 | + | 0.545883i | ||||
\(539\) | 0.398108 | − | 0.177249i | 0.0171477 | − | 0.00763467i | ||||
\(540\) | 2.46980 | + | 1.09963i | 0.106283 | + | 0.0473204i | ||||
\(541\) | −6.01013 | − | 6.67493i | −0.258396 | − | 0.286978i | 0.599963 | − | 0.800028i | \(-0.295182\pi\) |
−0.858358 | + | 0.513050i | \(0.828515\pi\) | |||||||
\(542\) | −6.58373 | + | 4.78336i | −0.282796 | + | 0.205463i | ||||
\(543\) | −3.59841 | + | 2.61440i | −0.154423 | + | 0.112195i | ||||
\(544\) | −1.91588 | − | 2.12780i | −0.0821427 | − | 0.0912287i | ||||
\(545\) | −8.49912 | − | 3.78405i | −0.364062 | − | 0.162091i | ||||
\(546\) | −5.03505 | + | 2.24175i | −0.215480 | + | 0.0959379i | ||||
\(547\) | 4.16611 | − | 4.62694i | 0.178130 | − | 0.197834i | −0.647467 | − | 0.762093i | \(-0.724172\pi\) |
0.825597 | + | 0.564260i | \(0.190838\pi\) | |||||||
\(548\) | 0.766590 | − | 7.29362i | 0.0327471 | − | 0.311568i | ||||
\(549\) | −35.0706 | + | 7.45449i | −1.49678 | + | 0.318150i | ||||
\(550\) | 0.189052 | − | 0.581841i | 0.00806119 | − | 0.0248098i | ||||
\(551\) | −2.43103 | − | 0.516731i | −0.103565 | − | 0.0220135i | ||||
\(552\) | 0.948313 | − | 1.64253i | 0.0403629 | − | 0.0699106i | ||||
\(553\) | −11.3952 | − | 19.7371i | −0.484574 | − | 0.839307i | ||||
\(554\) | −5.75464 | − | 17.7110i | −0.244491 | − | 0.752467i | ||||
\(555\) | −0.387125 | − | 3.68325i | −0.0164325 | − | 0.156345i | ||||
\(556\) | 9.77455 | + | 7.10163i | 0.414533 | + | 0.301176i | ||||
\(557\) | 0.755772 | 0.0320231 | 0.0160115 | − | 0.999872i | \(-0.494903\pi\) | ||||
0.0160115 | + | 0.999872i | \(0.494903\pi\) | |||||||
\(558\) | −13.4652 | + | 8.43873i | −0.570026 | + | 0.357240i | ||||
\(559\) | 22.6093 | 0.956273 | ||||||||
\(560\) | −3.01807 | − | 2.19276i | −0.127537 | − | 0.0926610i | ||||
\(561\) | 0.0197667 | + | 0.188068i | 0.000834552 | + | 0.00794023i | ||||
\(562\) | −0.744228 | − | 2.29050i | −0.0313934 | − | 0.0966189i | ||||
\(563\) | 22.0150 | + | 38.1311i | 0.927822 | + | 1.60703i | 0.786959 | + | 0.617006i | \(0.211655\pi\) |
0.140863 | + | 0.990029i | \(0.455012\pi\) | |||||||
\(564\) | −1.91637 | + | 3.31925i | −0.0806937 | + | 0.139766i | ||||
\(565\) | 14.5984 | + | 3.10298i | 0.614157 | + | 0.130543i | ||||
\(566\) | 5.09011 | − | 15.6657i | 0.213953 | − | 0.658480i | ||||
\(567\) | −23.2639 | + | 4.94490i | −0.976993 | + | 0.207666i | ||||
\(568\) | −1.06588 | + | 10.1412i | −0.0447233 | + | 0.425514i | ||||
\(569\) | 12.3358 | − | 13.7003i | 0.517145 | − | 0.574348i | −0.426844 | − | 0.904325i | \(-0.640375\pi\) |
0.943989 | + | 0.329978i | \(0.107041\pi\) | |||||||
\(570\) | −0.124271 | + | 0.0553291i | −0.00520514 | + | 0.00231748i | ||||
\(571\) | −14.3166 | − | 6.37418i | −0.599133 | − | 0.266751i | 0.0846803 | − | 0.996408i | \(-0.473013\pi\) |
−0.683813 | + | 0.729657i | \(0.739680\pi\) | |||||||
\(572\) | −0.541068 | − | 0.600917i | −0.0226232 | − | 0.0251256i | ||||
\(573\) | −2.40376 | + | 1.74643i | −0.100418 | + | 0.0729582i | ||||
\(574\) | 4.68878 | − | 3.40660i | 0.195706 | − | 0.142189i | ||||
\(575\) | 11.7557 | + | 13.0560i | 0.490246 | + | 0.544473i | ||||
\(576\) | −2.60735 | − | 1.16087i | −0.108640 | − | 0.0483695i | ||||
\(577\) | 9.63359 | − | 4.28915i | 0.401052 | − | 0.178560i | −0.196291 | − | 0.980546i | \(-0.562890\pi\) |
0.597343 | + | 0.801986i | \(0.296223\pi\) | |||||||
\(578\) | 5.88960 | − | 6.54106i | 0.244975 | − | 0.272072i | ||||
\(579\) | 0.331985 | − | 3.15863i | 0.0137968 | − | 0.131268i | ||||
\(580\) | 9.97857 | − | 2.12101i | 0.414338 | − | 0.0880702i | ||||
\(581\) | 5.31497 | − | 16.3578i | 0.220502 | − | 0.678635i | ||||
\(582\) | −6.43960 | − | 1.36878i | −0.266930 | − | 0.0567377i | ||||
\(583\) | −0.725772 | + | 1.25707i | −0.0300584 | + | 0.0520627i | ||||
\(584\) | 1.17603 | + | 2.03695i | 0.0486646 | + | 0.0842896i | ||||
\(585\) | 4.98680 | + | 15.3478i | 0.206179 | + | 0.634553i | ||||
\(586\) | 1.92242 | + | 18.2906i | 0.0794145 | + | 0.755579i | ||||
\(587\) | −16.0235 | − | 11.6417i | −0.661360 | − | 0.480506i | 0.205762 | − | 0.978602i | \(-0.434033\pi\) |
−0.867122 | + | 0.498096i | \(0.834033\pi\) | |||||||
\(588\) | −0.962672 | −0.0396999 | ||||||||
\(589\) | 0.282652 | − | 1.61548i | 0.0116465 | − | 0.0665647i | ||||
\(590\) | −17.8883 | −0.736451 | ||||||||
\(591\) | 3.12027 | + | 2.26701i | 0.128351 | + | 0.0932522i | ||||
\(592\) | 0.838261 | + | 7.97552i | 0.0344523 | + | 0.327792i | ||||
\(593\) | −2.93767 | − | 9.04122i | −0.120636 | − | 0.371278i | 0.872445 | − | 0.488712i | \(-0.162533\pi\) |
−0.993081 | + | 0.117434i | \(0.962533\pi\) | |||||||
\(594\) | 0.193318 | + | 0.334837i | 0.00793194 | + | 0.0137385i | ||||
\(595\) | −5.34072 | + | 9.25040i | −0.218948 | + | 0.379229i | ||||
\(596\) | −9.13992 | − | 1.94275i | −0.374386 | − | 0.0795781i | ||||
\(597\) | 0.186026 | − | 0.572528i | 0.00761353 | − | 0.0234320i | ||||
\(598\) | 22.7135 | − | 4.82791i | 0.928825 | − | 0.197428i | ||||
\(599\) | 1.78911 | − | 17.0222i | 0.0731010 | − | 0.695510i | −0.895190 | − | 0.445685i | \(-0.852960\pi\) |
0.968291 | − | 0.249825i | \(-0.0803731\pi\) | |||||||
\(600\) | −0.904307 | + | 1.00433i | −0.0369182 | + | 0.0410018i | ||||
\(601\) | −0.542774 | + | 0.241658i | −0.0221402 | + | 0.00985746i | −0.417777 | − | 0.908550i | \(-0.637191\pi\) |
0.395637 | + | 0.918407i | \(0.370524\pi\) | |||||||
\(602\) | 13.6276 | + | 6.06741i | 0.555421 | + | 0.247289i | ||||
\(603\) | −17.5727 | − | 19.5165i | −0.715617 | − | 0.794773i | ||||
\(604\) | 15.3883 | − | 11.1803i | 0.626143 | − | 0.454919i | ||||
\(605\) | 10.7304 | − | 7.79608i | 0.436252 | − | 0.316956i | ||||
\(606\) | 0.152500 | + | 0.169368i | 0.00619489 | + | 0.00688012i | ||||
\(607\) | 2.19322 | + | 0.976483i | 0.0890199 | + | 0.0396342i | 0.450764 | − | 0.892643i | \(-0.351152\pi\) |
−0.361744 | + | 0.932278i | \(0.617818\pi\) | |||||||
\(608\) | 0.269091 | − | 0.119807i | 0.0109131 | − | 0.00485881i | ||||
\(609\) | 6.65393 | − | 7.38994i | 0.269631 | − | 0.299455i | ||||
\(610\) | −1.58764 | + | 15.1053i | −0.0642815 | + | 0.611597i | ||||
\(611\) | −45.8999 | + | 9.75633i | −1.85691 | + | 0.394699i | ||||
\(612\) | −2.52528 | + | 7.77201i | −0.102078 | + | 0.314165i | ||||
\(613\) | −29.6658 | − | 6.30567i | −1.19819 | − | 0.254684i | −0.434745 | − | 0.900554i | \(-0.643161\pi\) |
−0.763447 | + | 0.645870i | \(0.776495\pi\) | |||||||
\(614\) | −13.1702 | + | 22.8114i | −0.531505 | + | 0.920594i | ||||
\(615\) | 0.433729 | + | 0.751241i | 0.0174896 | + | 0.0302930i | ||||
\(616\) | −0.164864 | − | 0.507399i | −0.00664256 | − | 0.0204437i | ||||
\(617\) | 1.14784 | + | 10.9210i | 0.0462104 | + | 0.439663i | 0.993027 | + | 0.117888i | \(0.0376125\pi\) |
−0.946816 | + | 0.321774i | \(0.895721\pi\) | |||||||
\(618\) | 4.44417 | + | 3.22888i | 0.178771 | + | 0.129885i | ||||
\(619\) | 31.8590 | 1.28052 | 0.640261 | − | 0.768157i | \(-0.278826\pi\) | ||||
0.640261 | + | 0.768157i | \(0.278826\pi\) | |||||||
\(620\) | 1.63719 | + | 6.52962i | 0.0657510 | + | 0.262236i | ||||
\(621\) | −11.1030 | −0.445550 | ||||||||
\(622\) | 15.9615 | + | 11.5967i | 0.639996 | + | 0.464984i | ||||
\(623\) | −0.616029 | − | 5.86112i | −0.0246807 | − | 0.234821i | ||||
\(624\) | 0.551989 | + | 1.69885i | 0.0220972 | + | 0.0680083i | ||||
\(625\) | −2.60482 | − | 4.51168i | −0.104193 | − | 0.180467i | ||||
\(626\) | 5.43077 | − | 9.40636i | 0.217057 | − | 0.375954i | ||||
\(627\) | −0.0190290 | − | 0.00404473i | −0.000759944 | − | 0.000161531i | ||||
\(628\) | 1.13930 | − | 3.50639i | 0.0454629 | − | 0.139920i | ||||
\(629\) | 22.4598 | − | 4.77399i | 0.895533 | − | 0.190351i | ||||
\(630\) | −1.11295 | + | 10.5890i | −0.0443411 | + | 0.421877i | ||||
\(631\) | 7.21761 | − | 8.01597i | 0.287328 | − | 0.319111i | −0.582150 | − | 0.813081i | \(-0.697788\pi\) |
0.869478 | + | 0.493971i | \(0.164455\pi\) | |||||||
\(632\) | −6.74773 | + | 3.00428i | −0.268410 | + | 0.119504i | ||||
\(633\) | −2.80764 | − | 1.25004i | −0.111594 | − | 0.0496848i | ||||
\(634\) | 19.9129 | + | 22.1156i | 0.790844 | + | 0.878321i | ||||
\(635\) | 15.0959 | − | 10.9678i | 0.599061 | − | 0.435243i | ||||
\(636\) | 2.59415 | − | 1.88476i | 0.102865 | − | 0.0747356i | ||||
\(637\) | −7.88656 | − | 8.75891i | −0.312477 | − | 0.347041i | ||||
\(638\) | 1.33280 | + | 0.593401i | 0.0527661 | + | 0.0234930i | ||||
\(639\) | 26.5873 | − | 11.8374i | 1.05178 | − | 0.468281i | ||||
\(640\) | −0.809017 | + | 0.898504i | −0.0319792 | + | 0.0355165i | ||||
\(641\) | −2.50387 | + | 23.8228i | −0.0988971 | + | 0.940943i | 0.826754 | + | 0.562564i | \(0.190185\pi\) |
−0.925651 | + | 0.378379i | \(0.876482\pi\) | |||||||
\(642\) | −0.762854 | + | 0.162150i | −0.0301074 | + | 0.00639953i | ||||
\(643\) | −11.2746 | + | 34.6997i | −0.444627 | + | 1.36842i | 0.438265 | + | 0.898846i | \(0.355593\pi\) |
−0.882892 | + | 0.469576i | \(0.844407\pi\) | |||||||
\(644\) | 14.9860 | + | 3.18538i | 0.590533 | + | 0.125522i | ||||
\(645\) | −1.11637 | + | 1.93360i | −0.0439568 | + | 0.0761355i | ||||
\(646\) | −0.421693 | − | 0.730393i | −0.0165913 | − | 0.0287369i | ||||
\(647\) | 12.9866 | + | 39.9686i | 0.510556 | + | 1.57133i | 0.791226 | + | 0.611524i | \(0.209443\pi\) |
−0.280670 | + | 0.959804i | \(0.590557\pi\) | |||||||
\(648\) | 0.805727 | + | 7.66598i | 0.0316519 | + | 0.301148i | ||||
\(649\) | −2.06966 | − | 1.50370i | −0.0812412 | − | 0.0590252i | ||||
\(650\) | −16.5464 | −0.649003 | ||||||||
\(651\) | 5.03229 | + | 4.21128i | 0.197231 | + | 0.165053i | ||||
\(652\) | −9.41620 | −0.368767 | ||||||||
\(653\) | −1.54525 | − | 1.12269i | −0.0604703 | − | 0.0439343i | 0.557139 | − | 0.830419i | \(-0.311899\pi\) |
−0.617610 | + | 0.786485i | \(0.711899\pi\) | |||||||
\(654\) | 0.307225 | + | 2.92305i | 0.0120134 | + | 0.114300i | ||||
\(655\) | 4.07818 | + | 12.5514i | 0.159348 | + | 0.490422i | ||||
\(656\) | −0.939176 | − | 1.62670i | −0.0366687 | − | 0.0635120i | ||||
\(657\) | 3.35652 | − | 5.81367i | 0.130950 | − | 0.226813i | ||||
\(658\) | −30.2841 | − | 6.43708i | −1.18060 | − | 0.250943i | ||||
\(659\) | 2.97622 | − | 9.15985i | 0.115937 | − | 0.356817i | −0.876204 | − | 0.481940i | \(-0.839932\pi\) |
0.992141 | + | 0.125123i | \(0.0399324\pi\) | |||||||
\(660\) | 0.0781077 | − | 0.0166023i | 0.00304034 | − | 0.000646244i | ||||
\(661\) | 0.844175 | − | 8.03179i | 0.0328346 | − | 0.312400i | −0.965762 | − | 0.259431i | \(-0.916465\pi\) |
0.998596 | − | 0.0529691i | \(-0.0168685\pi\) | |||||||
\(662\) | 5.52152 | − | 6.13227i | 0.214600 | − | 0.238338i | ||||
\(663\) | 4.67235 | − | 2.08026i | 0.181459 | − | 0.0807908i | ||||
\(664\) | −5.09240 | − | 2.26728i | −0.197624 | − | 0.0879877i | ||||
\(665\) | −0.735278 | − | 0.816609i | −0.0285129 | − | 0.0316667i | ||||
\(666\) | 18.5171 | − | 13.4534i | 0.717521 | − | 0.521310i | ||||
\(667\) | −33.8947 | + | 24.6260i | −1.31241 | + | 0.953521i | ||||
\(668\) | 2.19631 | + | 2.43925i | 0.0849777 | + | 0.0943773i | ||||
\(669\) | 0.571094 | + | 0.254267i | 0.0220798 | + | 0.00983054i | ||||
\(670\) | −10.1633 | + | 4.52500i | −0.392643 | + | 0.174816i | ||||
\(671\) | −1.45344 | + | 1.61421i | −0.0561096 | + | 0.0623160i | ||||
\(672\) | −0.123193 | + | 1.17210i | −0.00475226 | + | 0.0452147i | ||||
\(673\) | 38.3620 | − | 8.15410i | 1.47875 | − | 0.314317i | 0.603254 | − | 0.797549i | \(-0.293870\pi\) |
0.875493 | + | 0.483231i | \(0.160537\pi\) | |||||||
\(674\) | 10.1245 | − | 31.1601i | 0.389982 | − | 1.20024i | ||||
\(675\) | 7.73873 | + | 1.64492i | 0.297864 | + | 0.0633129i | ||||
\(676\) | −4.43493 | + | 7.68153i | −0.170574 | + | 0.295443i | ||||
\(677\) | 4.51806 | + | 7.82551i | 0.173643 | + | 0.300759i | 0.939691 | − | 0.342025i | \(-0.111113\pi\) |
−0.766048 | + | 0.642784i | \(0.777779\pi\) | |||||||
\(678\) | −1.45700 | − | 4.48419i | −0.0559558 | − | 0.172214i | ||||
\(679\) | −5.55891 | − | 52.8895i | −0.213332 | − | 2.02971i | ||||
\(680\) | 2.80067 | + | 2.03481i | 0.107401 | + | 0.0780312i | ||||
\(681\) | −6.83854 | −0.262053 | ||||||||
\(682\) | −0.359460 | + | 0.893091i | −0.0137644 | + | 0.0341982i | ||||
\(683\) | 42.6651 | 1.63254 | 0.816268 | − | 0.577673i | \(-0.196039\pi\) | ||||
0.816268 | + | 0.577673i | \(0.196039\pi\) | |||||||
\(684\) | −0.680136 | − | 0.494148i | −0.0260056 | − | 0.0188942i | ||||
\(685\) | 0.926851 | + | 8.81840i | 0.0354132 | + | 0.336934i | ||||
\(686\) | 4.27126 | + | 13.1456i | 0.163077 | + | 0.501901i | ||||
\(687\) | 0.429874 | + | 0.744564i | 0.0164007 | + | 0.0284069i | ||||
\(688\) | 2.41732 | − | 4.18693i | 0.0921596 | − | 0.159625i | ||||
\(689\) | 38.4008 | + | 8.16233i | 1.46295 | + | 0.310960i | ||||
\(690\) | −0.708616 | + | 2.18090i | −0.0269765 | + | 0.0830253i | ||||
\(691\) | −21.6776 | + | 4.60772i | −0.824655 | + | 0.175286i | −0.600864 | − | 0.799351i | \(-0.705177\pi\) |
−0.223791 | + | 0.974637i | \(0.571843\pi\) | |||||||
\(692\) | 0.104426 | − | 0.993551i | 0.00396970 | − | 0.0377691i | ||||
\(693\) | −1.01888 | + | 1.13158i | −0.0387041 | + | 0.0429853i | ||||
\(694\) | 3.41444 | − | 1.52021i | 0.129610 | − | 0.0577062i | ||||
\(695\) | −13.3449 | − | 5.94154i | −0.506202 | − | 0.225376i | ||||
\(696\) | −2.15652 | − | 2.39505i | −0.0817426 | − | 0.0907843i | ||||
\(697\) | −4.35103 | + | 3.16121i | −0.164807 | + | 0.119739i | ||||
\(698\) | 13.7598 | − | 9.99707i | 0.520816 | − | 0.378395i | ||||
\(699\) | 1.01897 | + | 1.13168i | 0.0385408 | + | 0.0428039i | ||||
\(700\) | −9.97323 | − | 4.44037i | −0.376953 | − | 0.167830i | ||||
\(701\) | 17.7200 | − | 7.88947i | 0.669277 | − | 0.297981i | −0.0438277 | − | 0.999039i | \(-0.513955\pi\) |
0.713104 | + | 0.701058i | \(0.247289\pi\) | |||||||
\(702\) | 6.99711 | − | 7.77108i | 0.264089 | − | 0.293301i | ||||
\(703\) | −0.246915 | + | 2.34924i | −0.00931258 | + | 0.0886033i | ||||
\(704\) | −0.169131 | + | 0.0359498i | −0.00637435 | + | 0.00135491i | ||||
\(705\) | 1.43198 | − | 4.40719i | 0.0539316 | − | 0.165985i | ||||
\(706\) | 1.59837 | + | 0.339745i | 0.0601556 | + | 0.0127865i | ||||
\(707\) | −0.920512 | + | 1.59437i | −0.0346194 | + | 0.0599626i | ||||
\(708\) | 2.82565 | + | 4.89417i | 0.106194 | + | 0.183934i | ||||
\(709\) | −1.98261 | − | 6.10186i | −0.0744586 | − | 0.229160i | 0.906900 | − | 0.421346i | \(-0.138442\pi\) |
−0.981358 | + | 0.192186i | \(0.938442\pi\) | |||||||
\(710\) | −1.28871 | − | 12.2613i | −0.0483644 | − | 0.460157i | ||||
\(711\) | 17.0551 | + | 12.3913i | 0.639616 | + | 0.464709i | ||||
\(712\) | −1.91003 | −0.0715816 | ||||||||
\(713\) | −17.0496 | − | 21.7631i | −0.638511 | − | 0.815035i | ||||
\(714\) | 3.37449 | 0.126287 | ||||||||
\(715\) | 0.790943 | + | 0.574654i | 0.0295796 | + | 0.0214908i | ||||
\(716\) | 1.26192 | + | 12.0064i | 0.0471602 | + | 0.448699i | ||||
\(717\) | −2.59584 | − | 7.98918i | −0.0969435 | − | 0.298361i | ||||
\(718\) | −15.4301 | − | 26.7258i | −0.575848 | − | 0.997397i | ||||
\(719\) | −21.5071 | + | 37.2513i | −0.802078 | + | 1.38924i | 0.116168 | + | 0.993230i | \(0.462939\pi\) |
−0.918246 | + | 0.396010i | \(0.870394\pi\) | |||||||
\(720\) | 3.37536 | + | 0.717456i | 0.125792 | + | 0.0267380i | ||||
\(721\) | −13.7125 | + | 42.2027i | −0.510680 | + | 1.57171i | ||||
\(722\) | −18.4999 | + | 3.93228i | −0.688496 | + | 0.146344i | ||||
\(723\) | 0.160257 | − | 1.52474i | 0.00596001 | − | 0.0567057i | ||||
\(724\) | −7.79184 | + | 8.65371i | −0.289581 | + | 0.321613i | ||||
\(725\) | 27.2727 | − | 12.1426i | 1.01288 | − | 0.450964i | ||||
\(726\) | −3.82794 | − | 1.70431i | −0.142068 | − | 0.0632529i | ||||
\(727\) | −8.36883 | − | 9.29453i | −0.310383 | − | 0.344715i | 0.567690 | − | 0.823243i | \(-0.307837\pi\) |
−0.878072 | + | 0.478528i | \(0.841171\pi\) | |||||||
\(728\) | −11.6736 | + | 8.48139i | −0.432654 | + | 0.314341i | ||||
\(729\) | 15.7254 | − | 11.4252i | 0.582423 | − | 0.423155i | ||||
\(730\) | −1.90286 | − | 2.11334i | −0.0704281 | − | 0.0782184i | ||||
\(731\) | −12.6460 | − | 5.63035i | −0.467729 | − | 0.208246i | ||||
\(732\) | 4.38353 | − | 1.95167i | 0.162020 | − | 0.0721360i | ||||
\(733\) | −14.2494 | + | 15.8255i | −0.526313 | + | 0.584530i | −0.946417 | − | 0.322946i | \(-0.895327\pi\) |
0.420105 | + | 0.907476i | \(0.361993\pi\) | |||||||
\(734\) | 0.974658 | − | 9.27325i | 0.0359753 | − | 0.342282i | ||||
\(735\) | 1.13849 | − | 0.241994i | 0.0419938 | − | 0.00892607i | ||||
\(736\) | 1.53440 | − | 4.72241i | 0.0565588 | − | 0.174070i | ||||
\(737\) | −1.55626 | − | 0.330792i | −0.0573254 | − | 0.0121849i | ||||
\(738\) | −2.68051 | + | 4.64277i | −0.0986708 | + | 0.170903i | ||||
\(739\) | −18.3029 | − | 31.7016i | −0.673285 | − | 1.16616i | −0.976967 | − | 0.213390i | \(-0.931550\pi\) |
0.303683 | − | 0.952773i | \(-0.401784\pi\) | |||||||
\(740\) | −2.99622 | − | 9.22142i | −0.110143 | − | 0.338986i | ||||
\(741\) | 0.0549985 | + | 0.523276i | 0.00202042 | + | 0.0192230i | ||||
\(742\) | 20.9554 | + | 15.2250i | 0.769296 | + | 0.558926i | ||||
\(743\) | −39.5536 | −1.45108 | −0.725541 | − | 0.688179i | \(-0.758410\pi\) | ||||
−0.725541 | + | 0.688179i | \(0.758410\pi\) | |||||||
\(744\) | 1.52786 | − | 1.47935i | 0.0560142 | − | 0.0542355i | ||||
\(745\) | 11.2976 | 0.413911 | ||||||||
\(746\) | −2.35835 | − | 1.71344i | −0.0863452 | − | 0.0627335i | ||||
\(747\) | 1.66302 | + | 15.8225i | 0.0608466 | + | 0.578917i | ||||
\(748\) | 0.152988 | + | 0.470849i | 0.00559380 | + | 0.0172159i | ||||
\(749\) | −3.14998 | − | 5.45592i | −0.115098 | − | 0.199355i | ||||
\(750\) | 1.97155 | − | 3.41482i | 0.0719907 | − | 0.124691i | ||||
\(751\) | −48.4490 | − | 10.2981i | −1.76793 | − | 0.375785i | −0.794948 | − | 0.606677i | \(-0.792502\pi\) |
−0.972979 | + | 0.230892i | \(0.925835\pi\) | |||||||
\(752\) | −3.10075 | + | 9.54313i | −0.113073 | + | 0.348002i | ||||
\(753\) | 5.78398 | − | 1.22942i | 0.210780 | − | 0.0448026i | ||||
\(754\) | 4.12453 | − | 39.2423i | 0.150207 | − | 1.42912i | ||||
\(755\) | −15.3883 | + | 17.0905i | −0.560039 | + | 0.621986i | ||||
\(756\) | 6.30290 | − | 2.80623i | 0.229234 | − | 0.102062i | ||||
\(757\) | −26.8857 | − | 11.9703i | −0.977177 | − | 0.435067i | −0.144912 | − | 0.989445i | \(-0.546290\pi\) |
−0.832265 | + | 0.554377i | \(0.812956\pi\) | |||||||
\(758\) | −10.1665 | − | 11.2910i | −0.369263 | − | 0.410108i | ||||
\(759\) | −0.265312 | + | 0.192761i | −0.00963022 | + | 0.00699677i | ||||
\(760\) | −0.288120 | + | 0.209331i | −0.0104512 | + | 0.00759324i | ||||
\(761\) | −13.2355 | − | 14.6995i | −0.479787 | − | 0.532858i | 0.453850 | − | 0.891078i | \(-0.350050\pi\) |
−0.933637 | + | 0.358221i | \(0.883384\pi\) | |||||||
\(762\) | −5.38528 | − | 2.39768i | −0.195088 | − | 0.0868588i | ||||
\(763\) | −21.6897 | + | 9.65686i | −0.785218 | + | 0.349602i | ||||
\(764\) | −5.20498 | + | 5.78071i | −0.188309 | + | 0.209139i | ||||
\(765\) | 1.03278 | − | 9.82626i | 0.0373403 | − | 0.355269i | ||||
\(766\) | −10.1664 | + | 2.16094i | −0.367327 | + | 0.0780778i | ||||
\(767\) | −21.3810 | + | 65.8041i | −0.772024 | + | 2.37605i | ||||
\(768\) | 0.373619 | + | 0.0794152i | 0.0134818 | + | 0.00286565i | ||||
\(769\) | 18.3511 | − | 31.7850i | 0.661757 | − | 1.14620i | −0.318397 | − | 0.947957i | \(-0.603145\pi\) |
0.980154 | − | 0.198239i | \(-0.0635221\pi\) | |||||||
\(770\) | 0.322523 | + | 0.558625i | 0.0116229 | + | 0.0201315i | ||||
\(771\) | −0.193164 | − | 0.594498i | −0.00695663 | − | 0.0214103i | ||||
\(772\) | −0.869148 | − | 8.26939i | −0.0312813 | − | 0.297622i | ||||
\(773\) | −15.3479 | − | 11.1509i | −0.552024 | − | 0.401069i | 0.276507 | − | 0.961012i | \(-0.410823\pi\) |
−0.828531 | + | 0.559943i | \(0.810823\pi\) | |||||||
\(774\) | −13.7986 | −0.495980 | ||||||||
\(775\) | 8.65920 | + | 17.6946i | 0.311048 | + | 0.635609i | ||||
\(776\) | −17.2357 | −0.618727 | ||||||||
\(777\) | −7.64632 | − | 5.55538i | −0.274310 | − | 0.199298i | ||||
\(778\) | 0.526579 | + | 5.01006i | 0.0188788 | + | 0.179619i | ||||
\(779\) | −0.170973 | − | 0.526201i | −0.00612575 | − | 0.0188531i | ||||
\(780\) | −1.07985 | − | 1.87036i | −0.0386649 | − | 0.0669696i | ||||
\(781\) | 0.881580 | − | 1.52694i | 0.0315454 | − | 0.0546382i | ||||
\(782\) | −13.9065 | − | 2.95593i | −0.497297 | − | 0.105704i | ||||
\(783\) | −5.83022 | + | 17.9436i | −0.208355 | + | 0.641251i | ||||
\(784\) | −2.46523 | + | 0.524001i | −0.0880440 | + | 0.0187143i | ||||
\(785\) | −0.465946 | + | 4.43318i | −0.0166303 | + | 0.158227i | ||||
\(786\) | 2.78980 | − | 3.09839i | 0.0995089 | − | 0.110516i | ||||
\(787\) | 18.7177 | − | 8.33367i | 0.667215 | − | 0.297063i | −0.0450389 | − | 0.998985i | \(-0.514341\pi\) |
0.712254 | + | 0.701922i | \(0.247675\pi\) | |||||||
\(788\) | 9.22443 | + | 4.10698i | 0.328607 | + | 0.146305i | ||||
\(789\) | 7.49856 | + | 8.32799i | 0.266956 | + | 0.296484i | ||||
\(790\) | 7.22490 | − | 5.24920i | 0.257050 | − | 0.186758i | ||||
\(791\) | 30.8131 | − | 22.3870i | 1.09559 | − | 0.795992i | ||||
\(792\) | 0.330216 | + | 0.366742i | 0.0117337 | + | 0.0130316i | ||||
\(793\) | 53.6689 | + | 23.8949i | 1.90584 | + | 0.848534i | ||||
\(794\) | 9.25686 | − | 4.12142i | 0.328514 | − | 0.146264i | ||||
\(795\) | −2.59415 | + | 2.88109i | −0.0920050 | + | 0.102182i | ||||
\(796\) | 0.164741 | − | 1.56740i | 0.00583907 | − | 0.0555551i | ||||
\(797\) | 41.0825 | − | 8.73236i | 1.45522 | − | 0.309316i | 0.588655 | − | 0.808384i | \(-0.299658\pi\) |
0.866563 | + | 0.499068i | \(0.166324\pi\) | |||||||
\(798\) | −0.107276 | + | 0.330160i | −0.00379752 | + | 0.0116876i | ||||
\(799\) | 28.1026 | + | 5.97339i | 0.994198 | + | 0.211323i | ||||
\(800\) | −1.76909 | + | 3.06415i | −0.0625468 | + | 0.108334i | ||||
\(801\) | 2.72572 | + | 4.72108i | 0.0963084 | + | 0.166811i | ||||
\(802\) | −11.2131 | − | 34.5103i | −0.395948 | − | 1.21860i | ||||
\(803\) | −0.0425111 | − | 0.404466i | −0.00150018 | − | 0.0142733i | ||||
\(804\) | 2.84342 | + | 2.06587i | 0.100280 | + | 0.0728575i | ||||
\(805\) | −18.5238 | −0.652877 | ||||||||
\(806\) | 25.9767 | + | 1.78198i | 0.914991 | + | 0.0627675i | ||||
\(807\) | −6.50791 | −0.229089 | ||||||||
\(808\) | 0.482716 | + | 0.350714i | 0.0169819 | + | 0.0123381i | ||||
\(809\) | 1.11211 | + | 10.5810i | 0.0390997 | + | 0.372009i | 0.996523 | + | 0.0833206i | \(0.0265526\pi\) |
−0.957423 | + | 0.288689i | \(0.906781\pi\) | |||||||
\(810\) | −2.87993 | − | 8.86352i | −0.101191 | − | 0.311432i | ||||
\(811\) | −4.24539 | − | 7.35323i | −0.149076 | − | 0.258207i | 0.781810 | − | 0.623516i | \(-0.214297\pi\) |
−0.930886 | + | 0.365309i | \(0.880963\pi\) | |||||||
\(812\) | 13.0171 | − | 22.5462i | 0.456809 | − | 0.791217i | ||||
\(813\) | −3.04049 | − | 0.646276i | −0.106635 | − | 0.0226659i | ||||
\(814\) | 0.428494 | − | 1.31877i | 0.0150187 | − | 0.0462229i | ||||
\(815\) | 11.1359 | − | 2.36702i | 0.390075 | − | 0.0829130i | ||||
\(816\) | 0.114319 | − | 1.08767i | 0.00400195 | − | 0.0380760i | ||||
\(817\) | 0.952893 | − | 1.05830i | 0.0333375 | − | 0.0370251i | ||||
\(818\) | −34.8754 | + | 15.5275i | −1.21939 | + | 0.542908i | ||||
\(819\) | 37.6225 | + | 16.7506i | 1.31464 | + | 0.585315i | ||||
\(820\) | 1.51962 | + | 1.68771i | 0.0530674 | + | 0.0589373i | ||||
\(821\) | 0.753352 | − | 0.547342i | 0.0262922 | − | 0.0191024i | −0.574562 | − | 0.818461i | \(-0.694827\pi\) |
0.600854 | + | 0.799359i | \(0.294827\pi\) | |||||||
\(822\) | 2.26627 | − | 1.64654i | 0.0790451 | − | 0.0574297i | ||||
\(823\) | −14.0411 | − | 15.5942i | −0.489442 | − | 0.543580i | 0.446940 | − | 0.894564i | \(-0.352514\pi\) |
−0.936381 | + | 0.350984i | \(0.885847\pi\) | |||||||
\(824\) | 13.1383 | + | 5.84954i | 0.457694 | + | 0.203778i | ||||
\(825\) | 0.213478 | − | 0.0950465i | 0.00743234 | − | 0.00330909i | ||||
\(826\) | −30.5464 | + | 33.9252i | −1.06284 | + | 1.18041i | ||||
\(827\) | 0.996907 | − | 9.48493i | 0.0346658 | − | 0.329823i | −0.963421 | − | 0.267993i | \(-0.913640\pi\) |
0.998087 | − | 0.0618303i | \(-0.0196938\pi\) | |||||||
\(828\) | −13.8622 | + | 2.94649i | −0.481743 | + | 0.102398i | ||||
\(829\) | −4.20816 | + | 12.9514i | −0.146156 | + | 0.449821i | −0.997158 | − | 0.0753414i | \(-0.975995\pi\) |
0.851002 | + | 0.525162i | \(0.175995\pi\) | |||||||
\(830\) | 6.59240 | + | 1.40126i | 0.228826 | + | 0.0486384i | ||||
\(831\) | 3.55657 | − | 6.16015i | 0.123376 | − | 0.213693i | ||||
\(832\) | 2.33826 | + | 4.04999i | 0.0810646 | + | 0.140408i | ||||
\(833\) | 2.22994 | + | 6.86305i | 0.0772629 | + | 0.237791i | ||||
\(834\) | 0.482390 | + | 4.58964i | 0.0167038 | + | 0.158926i | ||||
\(835\) | −3.21060 | − | 2.33264i | −0.111107 | − | 0.0807243i | ||||
\(836\) | −0.0509315 | −0.00176150 | ||||||||
\(837\) | −11.9721 | − | 3.41584i | −0.413818 | − | 0.118069i | ||||
\(838\) | −0.0849224 | −0.00293360 | ||||||||
\(839\) | −38.1645 | − | 27.7282i | −1.31759 | − | 0.957283i | −0.999959 | − | 0.00906710i | \(-0.997114\pi\) |
−0.317628 | − | 0.948216i | \(-0.602886\pi\) | |||||||
\(840\) | −0.148947 | − | 1.41714i | −0.00513916 | − | 0.0488958i | ||||
\(841\) | 13.0382 | + | 40.1275i | 0.449594 | + | 1.38371i | ||||
\(842\) | 5.66033 | + | 9.80398i | 0.195068 | + | 0.337867i | ||||
\(843\) | 0.459958 | − | 0.796671i | 0.0158418 | − | 0.0274388i | ||||
\(844\) | −7.87031 | − | 1.67289i | −0.270907 | − | 0.0575831i | ||||
\(845\) | 3.31395 | − | 10.1993i | 0.114003 | − | 0.350866i | ||||
\(846\) | 28.0129 | − | 5.95433i | 0.963104 | − | 0.204714i | ||||
\(847\) | 3.53811 | − | 33.6628i | 0.121571 | − | 1.15667i | ||||
\(848\) | 5.61724 | − | 6.23858i | 0.192897 | − | 0.214234i | ||||
\(849\) | 5.74777 | − | 2.55907i | 0.197263 | − | 0.0878271i | ||||
\(850\) | 9.25482 | + | 4.12051i | 0.317438 | + | 0.141332i | ||||
\(851\) | 26.6448 | + | 29.5921i | 0.913373 | + | 1.01440i | ||||
\(852\) | −3.15106 | + | 2.28938i | −0.107953 | + | 0.0784328i | ||||
\(853\) | −1.78567 | + | 1.29736i | −0.0611400 | + | 0.0444208i | −0.617935 | − | 0.786229i | \(-0.712031\pi\) |
0.556795 | + | 0.830650i | \(0.312031\pi\) | |||||||
\(854\) | 25.9362 | + | 28.8050i | 0.887517 | + | 0.985688i | ||||
\(855\) | 0.928570 | + | 0.413426i | 0.0317564 | + | 0.0141389i | ||||
\(856\) | −1.86527 | + | 0.830473i | −0.0637537 | + | 0.0283850i | ||||
\(857\) | −15.4138 | + | 17.1188i | −0.526526 | + | 0.584766i | −0.946473 | − | 0.322782i | \(-0.895382\pi\) |
0.419947 | + | 0.907548i | \(0.362048\pi\) | |||||||
\(858\) | 0.0322850 | − | 0.307171i | 0.00110219 | − | 0.0104866i | ||||
\(859\) | 33.3273 | − | 7.08394i | 1.13711 | − | 0.241701i | 0.399375 | − | 0.916788i | \(-0.369227\pi\) |
0.737739 | + | 0.675087i | \(0.235894\pi\) | |||||||
\(860\) | −1.80632 | + | 5.55927i | −0.0615949 | + | 0.189570i | ||||
\(861\) | 2.16537 | + | 0.460263i | 0.0737955 | + | 0.0156857i | ||||
\(862\) | −0.515676 | + | 0.893176i | −0.0175640 | + | 0.0304217i | ||||
\(863\) | −11.0442 | − | 19.1292i | −0.375951 | − | 0.651166i | 0.614518 | − | 0.788903i | \(-0.289350\pi\) |
−0.990469 | + | 0.137737i | \(0.956017\pi\) | |||||||
\(864\) | −0.690983 | − | 2.12663i | −0.0235077 | − | 0.0723493i | ||||
\(865\) | 0.126257 | + | 1.20126i | 0.00429288 | + | 0.0408440i | ||||
\(866\) | 26.6903 | + | 19.3917i | 0.906974 | + | 0.658955i | ||||
\(867\) | 3.36201 | 0.114180 | ||||||||
\(868\) | 15.1791 | + | 8.04516i | 0.515212 | + | 0.273070i | ||||
\(869\) | 1.27716 | 0.0433247 | ||||||||
\(870\) | 3.15244 | + | 2.29038i | 0.106878 | + | 0.0776511i | ||||
\(871\) | 4.49797 | + | 42.7953i | 0.152408 | + | 1.45006i | ||||
\(872\) | 2.37782 | + | 7.31819i | 0.0805232 | + | 0.247825i | ||||
\(873\) | 24.5963 | + | 42.6020i | 0.832458 | + | 1.44186i | ||||
\(874\) | 0.731300 | − | 1.26665i | 0.0247366 | − | 0.0428450i | ||||
\(875\) | 31.1560 | + | 6.62242i | 1.05327 | + | 0.223879i | ||||
\(876\) | −0.277624 | + | 0.854439i | −0.00938005 | + | 0.0288688i | ||||
\(877\) | −11.2057 | + | 2.38184i | −0.378389 | + | 0.0804290i | −0.393180 | − | 0.919462i | \(-0.628625\pi\) |
0.0147912 | + | 0.999891i | \(0.495292\pi\) | |||||||
\(878\) | −0.363523 | + | 3.45869i | −0.0122683 | + | 0.116725i | ||||
\(879\) | −4.70056 | + | 5.22050i | −0.158546 | + | 0.176083i | ||||
\(880\) | 0.190983 | − | 0.0850311i | 0.00643804 | − | 0.00286640i | ||||
\(881\) | −44.8343 | − | 19.9615i | −1.51051 | − | 0.672520i | −0.526421 | − | 0.850224i | \(-0.676467\pi\) |
−0.984084 | + | 0.177703i | \(0.943133\pi\) | |||||||
\(882\) | 4.81320 | + | 5.34560i | 0.162069 | + | 0.179996i | ||||
\(883\) | 21.4848 | − | 15.6097i | 0.723023 | − | 0.525307i | −0.164326 | − | 0.986406i | \(-0.552545\pi\) |
0.887348 | + | 0.461099i | \(0.152545\pi\) | |||||||
\(884\) | 10.8327 | − | 7.87044i | 0.364344 | − | 0.264712i | ||||
\(885\) | −4.57199 | − | 5.07771i | −0.153686 | − | 0.170685i | ||||
\(886\) | −10.8562 | − | 4.83350i | −0.364721 | − | 0.162384i | ||||
\(887\) | 37.4485 | − | 16.6732i | 1.25740 | − | 0.559830i | 0.333602 | − | 0.942714i | \(-0.391736\pi\) |
0.923796 | + | 0.382884i | \(0.125069\pi\) | |||||||
\(888\) | −2.04965 | + | 2.27637i | −0.0687819 | + | 0.0763900i | ||||
\(889\) | 4.97752 | − | 47.3580i | 0.166941 | − | 1.58834i | ||||
\(890\) | 2.25888 | − | 0.480139i | 0.0757177 | − | 0.0160943i | ||||
\(891\) | 0.411864 | − | 1.26759i | 0.0137979 | − | 0.0424657i | ||||
\(892\) | 1.60087 | + | 0.340276i | 0.0536012 | + | 0.0113933i | ||||
\(893\) | −1.47782 | + | 2.55967i | −0.0494535 | + | 0.0856560i | ||||
\(894\) | −1.78457 | − | 3.09096i | −0.0596848 | − | 0.103377i | ||||
\(895\) | −4.51052 | − | 13.8819i | −0.150770 | − | 0.464022i | ||||
\(896\) | 0.322523 | + | 3.06860i | 0.0107747 | + | 0.102515i | ||||
\(897\) | 7.17567 | + | 5.21343i | 0.239589 | + | 0.174071i | ||||
\(898\) | −34.4930 | −1.15105 | ||||||||
\(899\) | −44.1240 | + | 16.1259i | −1.47162 | + | 0.537828i | ||||
\(900\) | 10.0983 | 0.336611 | ||||||||
\(901\) | −19.4459 | − | 14.1283i | −0.647836 | − | 0.470681i | ||||
\(902\) | 0.0339492 | + | 0.323005i | 0.00113038 | + | 0.0107549i | ||||
\(903\) | 1.76075 | + | 5.41903i | 0.0585941 | + | 0.180334i | ||||
\(904\) | −6.17195 | − | 10.6901i | −0.205276 | − | 0.355549i | ||||
\(905\) | 7.03956 | − | 12.1929i | 0.234003 | − | 0.405305i | ||||
\(906\) | 7.10662 | + | 1.51056i | 0.236102 | + | 0.0501850i | ||||
\(907\) | −6.21212 | + | 19.1189i | −0.206270 | + | 0.634834i | 0.793389 | + | 0.608715i | \(0.208315\pi\) |
−0.999659 | + | 0.0261187i | \(0.991685\pi\) | |||||||
\(908\) | −17.5123 | + | 3.72235i | −0.581166 | + | 0.123531i | ||||
\(909\) | 0.178007 | − | 1.69363i | 0.00590413 | − | 0.0561741i | ||||
\(910\) | 11.6736 | − | 12.9649i | 0.386977 | − | 0.429782i | ||||
\(911\) | 18.2136 | − | 8.10920i | 0.603443 | − | 0.268670i | −0.0821913 | − | 0.996617i | \(-0.526192\pi\) |
0.685634 | + | 0.727947i | \(0.259525\pi\) | |||||||
\(912\) | 0.102783 | + | 0.0457622i | 0.00340350 | + | 0.00151534i | ||||
\(913\) | 0.644943 | + | 0.716282i | 0.0213445 | + | 0.0237055i | ||||
\(914\) | 19.6071 | − | 14.2454i | 0.648546 | − | 0.471196i | ||||
\(915\) | −4.69352 | + | 3.41004i | −0.155163 | + | 0.112732i | ||||
\(916\) | 1.50611 | + | 1.67271i | 0.0497634 | + | 0.0552679i | ||||
\(917\) | 30.7676 | + | 13.6986i | 1.01604 | + | 0.452368i | ||||
\(918\) | −5.84888 | + | 2.60409i | −0.193042 | + | 0.0859478i | ||||
\(919\) | −14.6299 | + | 16.2482i | −0.482596 | + | 0.535977i | −0.934440 | − | 0.356120i | \(-0.884100\pi\) |
0.451844 | + | 0.892097i | \(0.350766\pi\) | |||||||
\(920\) | −0.627536 | + | 5.97060i | −0.0206892 | + | 0.196845i | ||||
\(921\) | −9.84126 | + | 2.09183i | −0.324281 | + | 0.0689280i | ||||
\(922\) | −7.16703 | + | 22.0579i | −0.236034 | + | 0.726437i | ||||
\(923\) | −46.6446 | − | 9.91461i | −1.53533 | − | 0.326343i | ||||
\(924\) | 0.101892 | − | 0.176481i | 0.00335198 | − | 0.00580581i | ||||
\(925\) | −14.1871 | − | 24.5728i | −0.466470 | − | 0.807950i | ||||
\(926\) | 4.41239 | + | 13.5799i | 0.145000 | + | 0.446265i | ||||
\(927\) | −4.29054 | − | 40.8218i | −0.140920 | − | 1.34076i | ||||
\(928\) | −6.82614 | − | 4.95948i | −0.224079 | − | 0.162803i | ||||
\(929\) | −42.7555 | −1.40276 | −0.701382 | − | 0.712786i | \(-0.747433\pi\) | ||||
−0.701382 | + | 0.712786i | \(0.747433\pi\) | |||||||
\(930\) | −1.43503 | + | 2.13360i | −0.0470566 | + | 0.0699635i | ||||
\(931\) | −0.742373 | −0.0243303 | ||||||||
\(932\) | 3.22539 | + | 2.34338i | 0.105651 | + | 0.0767600i | ||||
\(933\) | 0.787724 | + | 7.49469i | 0.0257889 | + | 0.245365i | ||||
\(934\) | 7.10075 | + | 21.8539i | 0.232344 | + | 0.715080i | ||||
\(935\) | −0.299290 | − | 0.518385i | −0.00978783 | − | 0.0169530i | ||||
\(936\) | 6.67364 | − | 11.5591i | 0.218135 | − | 0.377820i | ||||
\(937\) | −1.58518 | − | 0.336940i | −0.0517855 | − | 0.0110073i | 0.181946 | − | 0.983309i | \(-0.441760\pi\) |
−0.233732 | + | 0.972301i | \(0.575094\pi\) | |||||||
\(938\) | −8.77337 | + | 27.0017i | −0.286461 | + | 0.881635i | ||||
\(939\) | 4.05808 | − | 0.862571i | 0.132430 | − | 0.0281489i | ||||
\(940\) | 1.26814 | − | 12.0655i | 0.0413620 | − | 0.393533i | ||||
\(941\) | 18.1253 | − | 20.1302i | 0.590868 | − | 0.656226i | −0.371354 | − | 0.928491i | \(-0.621106\pi\) |
0.962222 | + | 0.272266i | \(0.0877730\pi\) | |||||||
\(942\) | 1.28650 | − | 0.572786i | 0.0419164 | − | 0.0186624i | ||||
\(943\) | −8.52049 | − | 3.79356i | −0.277465 | − | 0.123535i | ||||
\(944\) | 9.89998 | + | 10.9950i | 0.322217 | + | 0.357858i | ||||
\(945\) | −6.74862 | + | 4.90316i | −0.219533 | + | 0.159500i | ||||
\(946\) | −0.676301 | + | 0.491362i | −0.0219885 | + | 0.0159755i | ||||
\(947\) | −19.4449 | − | 21.5957i | −0.631873 | − | 0.701766i | 0.339155 | − | 0.940730i | \(-0.389859\pi\) |
−0.971028 | + | 0.238964i | \(0.923192\pi\) | |||||||
\(948\) | −2.57740 | − | 1.14753i | −0.0837101 | − | 0.0372702i | ||||
\(949\) | −10.0485 | + | 4.47390i | −0.326190 | + | 0.145229i | ||||
\(950\) | −0.697364 | + | 0.774501i | −0.0226255 | + | 0.0251281i | ||||
\(951\) | −1.18818 | + | 11.3048i | −0.0385295 | + | 0.366584i | ||||
\(952\) | 8.64147 | − | 1.83680i | 0.280072 | − | 0.0595310i | ||||
\(953\) | 1.91530 | − | 5.89470i | 0.0620428 | − | 0.190948i | −0.915231 | − | 0.402930i | \(-0.867992\pi\) |
0.977274 | + | 0.211982i | \(0.0679918\pi\) | |||||||
\(954\) | −23.4362 | − | 4.98151i | −0.758773 | − | 0.161282i | ||||
\(955\) | 4.70246 | − | 8.14489i | 0.152168 | − | 0.263562i | ||||
\(956\) | −10.9962 | − | 19.0459i | −0.355641 | − | 0.615989i | ||||
\(957\) | 0.172204 | + | 0.529988i | 0.00556655 | + | 0.0171321i | ||||
\(958\) | −0.221972 | − | 2.11192i | −0.00717160 | − | 0.0682332i | ||||
\(959\) | 18.3068 | + | 13.3007i | 0.591157 | + | 0.429500i | ||||
\(960\) | −0.461819 | −0.0149051 | ||||||||
\(961\) | −11.6887 | − | 28.7119i | −0.377056 | − | 0.926191i | ||||
\(962\) | −37.5032 | −1.20915 | ||||||||
\(963\) | 4.71454 | + | 3.42531i | 0.151924 | + | 0.110379i | ||||
\(964\) | −0.419557 | − | 3.99182i | −0.0135130 | − | 0.128568i | ||||
\(965\) | 3.10662 | + | 9.56120i | 0.100006 | + | 0.307786i | ||||
\(966\) | 2.92602 | + | 5.06801i | 0.0941431 | + | 0.163061i | ||||
\(967\) | −5.43592 | + | 9.41529i | −0.174807 | + | 0.302775i | −0.940095 | − | 0.340914i | \(-0.889264\pi\) |
0.765287 | + | 0.643689i | \(0.222597\pi\) | |||||||
\(968\) | −10.7304 | − | 2.28081i | −0.344887 | − | 0.0733081i | ||||
\(969\) | 0.0995481 | − | 0.306378i | 0.00319795 | − | 0.00984227i | ||||
\(970\) | 20.3836 | − | 4.33267i | 0.654478 | − | 0.139114i | ||||
\(971\) | 0.424304 | − | 4.03698i | 0.0136166 | − | 0.129553i | −0.985602 | − | 0.169083i | \(-0.945919\pi\) |
0.999218 | + | 0.0395301i | \(0.0125861\pi\) | |||||||
\(972\) | −6.45877 | + | 7.17319i | −0.207165 | + | 0.230080i | ||||
\(973\) | −34.0561 | + | 15.1627i | −1.09179 | + | 0.486095i | ||||
\(974\) | 23.0637 | + | 10.2686i | 0.739009 | + | 0.329028i | ||||
\(975\) | −4.22901 | − | 4.69679i | −0.135437 | − | 0.150418i | ||||
\(976\) | 10.1631 | − | 7.38394i | 0.325314 | − | 0.236354i | ||||
\(977\) | 22.4159 | − | 16.2861i | 0.717147 | − | 0.521038i | −0.168324 | − | 0.985732i | \(-0.553836\pi\) |
0.885472 | + | 0.464694i | \(0.153836\pi\) | |||||||
\(978\) | −2.40664 | − | 2.67285i | −0.0769559 | − | 0.0854682i | ||||
\(979\) | 0.301710 | + | 0.134330i | 0.00964268 | + | 0.00429320i | ||||
\(980\) | 2.78375 | − | 1.23941i | 0.0889237 | − | 0.0395914i | ||||
\(981\) | 14.6953 | − | 16.3207i | 0.469184 | − | 0.521081i | ||||
\(982\) | −1.85274 | + | 17.6277i | −0.0591234 | + | 0.562522i | ||||
\(983\) | −20.1222 | + | 4.27711i | −0.641799 | + | 0.136419i | −0.517304 | − | 0.855802i | \(-0.673064\pi\) |
−0.124495 | + | 0.992220i | \(0.539731\pi\) | |||||||
\(984\) | 0.221709 | − | 0.682352i | 0.00706784 | − | 0.0217526i | ||||
\(985\) | −11.9415 | − | 2.53825i | −0.380489 | − | 0.0808755i | ||||
\(986\) | −12.0794 | + | 20.9221i | −0.384686 | + | 0.666296i | ||||
\(987\) | −5.91296 | − | 10.2415i | −0.188211 | − | 0.325992i | ||||
\(988\) | 0.425671 | + | 1.31008i | 0.0135424 | + | 0.0416792i | ||||
\(989\) | −2.50932 | − | 23.8746i | −0.0797918 | − | 0.759168i | ||||
\(990\) | −0.482716 | − | 0.350714i | −0.0153417 | − | 0.0111464i | ||||
\(991\) | −34.9964 | −1.11170 | −0.555849 | − | 0.831283i | \(-0.687607\pi\) | ||||
−0.555849 | + | 0.831283i | \(0.687607\pi\) | |||||||
\(992\) | 3.10735 | − | 4.62000i | 0.0986585 | − | 0.146685i | ||||
\(993\) | 3.15190 | 0.100023 | ||||||||
\(994\) | −25.4541 | − | 18.4935i | −0.807354 | − | 0.586577i | ||||
\(995\) | 0.199181 | + | 1.89508i | 0.00631445 | + | 0.0600780i | ||||
\(996\) | −0.657960 | − | 2.02499i | −0.0208483 | − | 0.0641644i | ||||
\(997\) | −3.30900 | − | 5.73135i | −0.104797 | − | 0.181514i | 0.808858 | − | 0.588004i | \(-0.200086\pi\) |
−0.913655 | + | 0.406490i | \(0.866753\pi\) | |||||||
\(998\) | 14.0133 | − | 24.2718i | 0.443584 | − | 0.768310i | ||||
\(999\) | 17.5402 | + | 3.72828i | 0.554947 | + | 0.117958i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 62.2.g.b.41.1 | ✓ | 8 | |
3.2 | odd | 2 | 558.2.ba.c.289.1 | 8 | |||
4.3 | odd | 2 | 496.2.bg.b.289.1 | 8 | |||
31.11 | odd | 30 | 1922.2.a.m.1.2 | 4 | |||
31.20 | even | 15 | 1922.2.a.h.1.4 | 4 | |||
31.28 | even | 15 | inner | 62.2.g.b.59.1 | yes | 8 | |
93.59 | odd | 30 | 558.2.ba.c.307.1 | 8 | |||
124.59 | odd | 30 | 496.2.bg.b.369.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
62.2.g.b.41.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
62.2.g.b.59.1 | yes | 8 | 31.28 | even | 15 | inner | |
496.2.bg.b.289.1 | 8 | 4.3 | odd | 2 | |||
496.2.bg.b.369.1 | 8 | 124.59 | odd | 30 | |||
558.2.ba.c.289.1 | 8 | 3.2 | odd | 2 | |||
558.2.ba.c.307.1 | 8 | 93.59 | odd | 30 | |||
1922.2.a.h.1.4 | 4 | 31.20 | even | 15 | |||
1922.2.a.m.1.2 | 4 | 31.11 | odd | 30 |