Properties

Label 98.2.g.a.23.2
Level $98$
Weight $2$
Character 98.23
Analytic conductor $0.783$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [98,2,Mod(9,98)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(98, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("98.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 98 = 2 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 98.g (of order \(21\), degree \(12\), 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: \(0.782533939809\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(2\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) \(=\) 98.23
Dual form 98.2.g.a.81.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0747301 + 0.997204i) q^{2} +(1.52870 - 0.471543i) q^{3} +(-0.988831 - 0.149042i) q^{4} +(-0.144243 - 0.133838i) q^{5} +(0.355984 + 1.55967i) q^{6} +(2.44775 + 1.00425i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.364133 + 0.248262i) q^{9} +O(q^{10})\) \(q+(-0.0747301 + 0.997204i) q^{2} +(1.52870 - 0.471543i) q^{3} +(-0.988831 - 0.149042i) q^{4} +(-0.144243 - 0.133838i) q^{5} +(0.355984 + 1.55967i) q^{6} +(2.44775 + 1.00425i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.364133 + 0.248262i) q^{9} +(0.144243 - 0.133838i) q^{10} +(-3.03693 - 2.07055i) q^{11} +(-1.58191 + 0.238434i) q^{12} +(-1.91301 + 0.921256i) q^{13} +(-1.18437 + 2.36586i) q^{14} +(-0.283614 - 0.136581i) q^{15} +(0.955573 + 0.294755i) q^{16} +(1.42755 - 3.63734i) q^{17} +(-0.220356 - 0.381667i) q^{18} +(-2.48143 + 4.29797i) q^{19} +(0.122684 + 0.153841i) q^{20} +(4.21543 + 0.380991i) q^{21} +(2.29171 - 2.87371i) q^{22} +(-1.79216 - 4.56635i) q^{23} +(-0.119552 - 1.59530i) q^{24} +(-0.370757 - 4.94741i) q^{25} +(-0.775721 - 1.97650i) q^{26} +(-3.43192 + 4.30349i) q^{27} +(-2.27073 - 1.35786i) q^{28} +(-0.499073 - 0.625818i) q^{29} +(0.157394 - 0.272614i) q^{30} +(-0.00876390 - 0.0151795i) q^{31} +(-0.365341 + 0.930874i) q^{32} +(-5.61892 - 1.73321i) q^{33} +(3.52049 + 1.69538i) q^{34} +(-0.218662 - 0.472457i) q^{35} +(0.397067 - 0.191218i) q^{36} +(8.77401 - 1.32247i) q^{37} +(-4.10052 - 2.79568i) q^{38} +(-2.49001 + 2.31039i) q^{39} +(-0.162579 + 0.110844i) q^{40} +(-0.431178 + 1.88911i) q^{41} +(-0.694945 + 4.17517i) q^{42} +(2.17526 + 9.53045i) q^{43} +(2.69441 + 2.50005i) q^{44} +(0.0857502 + 0.0129248i) q^{45} +(4.68751 - 1.44590i) q^{46} +(-0.497265 + 6.63553i) q^{47} +1.59978 q^{48} +(4.98294 + 4.91633i) q^{49} +4.96128 q^{50} +(0.467141 - 6.23356i) q^{51} +(2.02895 - 0.625847i) q^{52} +(1.69859 + 0.256021i) q^{53} +(-4.03499 - 3.74392i) q^{54} +(0.160938 + 0.705116i) q^{55} +(1.52375 - 2.16291i) q^{56} +(-1.76670 + 7.74043i) q^{57} +(0.661364 - 0.450910i) q^{58} +(-10.5015 + 9.74393i) q^{59} +(0.260090 + 0.177326i) q^{60} +(9.87335 - 1.48817i) q^{61} +(0.0157920 - 0.00760503i) q^{62} +(-1.14062 + 0.242000i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(0.399236 + 0.123148i) q^{65} +(2.14826 - 5.47369i) q^{66} +(-3.63377 - 6.29387i) q^{67} +(-1.95372 + 3.38395i) q^{68} +(-4.89291 - 6.13551i) q^{69} +(0.487476 - 0.182744i) q^{70} +(6.28782 - 7.88468i) q^{71} +(0.161010 + 0.410247i) q^{72} +(-0.0400528 - 0.534467i) q^{73} +(0.663089 + 8.84830i) q^{74} +(-2.89969 - 7.38830i) q^{75} +(3.09430 - 3.88013i) q^{76} +(-5.35429 - 8.11803i) q^{77} +(-2.11785 - 2.65570i) q^{78} +(3.58658 - 6.21213i) q^{79} +(-0.0983849 - 0.170408i) q^{80} +(-2.73408 + 6.96632i) q^{81} +(-1.85161 - 0.571146i) q^{82} +(5.11559 + 2.46354i) q^{83} +(-4.11157 - 1.00501i) q^{84} +(-0.692726 + 0.333599i) q^{85} +(-9.66636 + 1.45697i) q^{86} +(-1.05803 - 0.721356i) q^{87} +(-2.69441 + 2.50005i) q^{88} +(11.0777 - 7.55263i) q^{89} +(-0.0192967 + 0.0845445i) q^{90} +(-5.60774 + 0.333855i) q^{91} +(1.09156 + 4.78245i) q^{92} +(-0.0205552 - 0.0190724i) q^{93} +(-6.57982 - 0.991748i) q^{94} +(0.933158 - 0.287841i) q^{95} +(-0.119552 + 1.59530i) q^{96} -14.8313 q^{97} +(-5.27496 + 4.60161i) q^{98} +1.61988 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9} - 7 q^{11} + 14 q^{13} - 7 q^{15} + 2 q^{16} - 7 q^{17} + 5 q^{18} - 7 q^{20} + 7 q^{21} - 7 q^{22} - 21 q^{23} + 4 q^{25} - 7 q^{26} - 35 q^{27} - 14 q^{28} - 11 q^{29} + 28 q^{31} - 2 q^{32} + 14 q^{33} + 7 q^{34} + 21 q^{35} + 3 q^{36} - 24 q^{37} - 7 q^{38} - 40 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 10 q^{43} + 21 q^{44} + 7 q^{45} + 42 q^{46} - 70 q^{47} - 14 q^{48} + 84 q^{49} + 8 q^{50} + 60 q^{51} - 7 q^{52} + 26 q^{53} + 63 q^{54} + 56 q^{55} + 21 q^{56} - 33 q^{57} - 30 q^{58} - 7 q^{59} + 14 q^{60} + 14 q^{61} + 28 q^{62} - 14 q^{63} - 4 q^{64} - 21 q^{66} - 36 q^{67} - 14 q^{68} - 35 q^{69} + 14 q^{70} - 2 q^{72} - 7 q^{73} - 11 q^{74} - 28 q^{75} - 91 q^{77} - 24 q^{78} - 26 q^{79} + 55 q^{81} + 14 q^{82} - 7 q^{83} - 21 q^{84} + 49 q^{85} - 16 q^{86} + 35 q^{87} - 21 q^{88} - 56 q^{89} - 21 q^{90} + 7 q^{91} + 21 q^{92} + 72 q^{93} - 35 q^{94} - 14 q^{95} - 126 q^{97} - 56 q^{98} - 14 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{19}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0747301 + 0.997204i −0.0528422 + 0.705130i
\(3\) 1.52870 0.471543i 0.882598 0.272245i 0.179858 0.983693i \(-0.442436\pi\)
0.702740 + 0.711447i \(0.251960\pi\)
\(4\) −0.988831 0.149042i −0.494415 0.0745211i
\(5\) −0.144243 0.133838i −0.0645072 0.0598539i 0.647260 0.762269i \(-0.275915\pi\)
−0.711768 + 0.702415i \(0.752105\pi\)
\(6\) 0.355984 + 1.55967i 0.145330 + 0.636732i
\(7\) 2.44775 + 1.00425i 0.925162 + 0.379573i
\(8\) 0.222521 0.974928i 0.0786730 0.344689i
\(9\) −0.364133 + 0.248262i −0.121378 + 0.0827539i
\(10\) 0.144243 0.133838i 0.0456135 0.0423231i
\(11\) −3.03693 2.07055i −0.915670 0.624293i 0.0110939 0.999938i \(-0.496469\pi\)
−0.926763 + 0.375646i \(0.877421\pi\)
\(12\) −1.58191 + 0.238434i −0.456658 + 0.0688301i
\(13\) −1.91301 + 0.921256i −0.530573 + 0.255510i −0.679935 0.733272i \(-0.737992\pi\)
0.149363 + 0.988783i \(0.452278\pi\)
\(14\) −1.18437 + 2.36586i −0.316535 + 0.632302i
\(15\) −0.283614 0.136581i −0.0732289 0.0352652i
\(16\) 0.955573 + 0.294755i 0.238893 + 0.0736888i
\(17\) 1.42755 3.63734i 0.346232 0.882184i −0.646618 0.762814i \(-0.723817\pi\)
0.992850 0.119370i \(-0.0380875\pi\)
\(18\) −0.220356 0.381667i −0.0519383 0.0899598i
\(19\) −2.48143 + 4.29797i −0.569280 + 0.986022i 0.427357 + 0.904083i \(0.359445\pi\)
−0.996637 + 0.0819393i \(0.973889\pi\)
\(20\) 0.122684 + 0.153841i 0.0274330 + 0.0343999i
\(21\) 4.21543 + 0.380991i 0.919883 + 0.0831390i
\(22\) 2.29171 2.87371i 0.488593 0.612677i
\(23\) −1.79216 4.56635i −0.373691 0.952149i −0.986770 0.162127i \(-0.948164\pi\)
0.613079 0.790022i \(-0.289931\pi\)
\(24\) −0.119552 1.59530i −0.0244034 0.325640i
\(25\) −0.370757 4.94741i −0.0741514 0.989482i
\(26\) −0.775721 1.97650i −0.152131 0.387624i
\(27\) −3.43192 + 4.30349i −0.660473 + 0.828207i
\(28\) −2.27073 1.35786i −0.429128 0.256611i
\(29\) −0.499073 0.625818i −0.0926755 0.116211i 0.733332 0.679871i \(-0.237964\pi\)
−0.826007 + 0.563660i \(0.809393\pi\)
\(30\) 0.157394 0.272614i 0.0287361 0.0497724i
\(31\) −0.00876390 0.0151795i −0.00157404 0.00272632i 0.865237 0.501363i \(-0.167168\pi\)
−0.866811 + 0.498636i \(0.833834\pi\)
\(32\) −0.365341 + 0.930874i −0.0645838 + 0.164557i
\(33\) −5.61892 1.73321i −0.978129 0.301713i
\(34\) 3.52049 + 1.69538i 0.603758 + 0.290755i
\(35\) −0.218662 0.472457i −0.0369607 0.0798598i
\(36\) 0.397067 0.191218i 0.0661779 0.0318696i
\(37\) 8.77401 1.32247i 1.44244 0.217413i 0.619255 0.785190i \(-0.287435\pi\)
0.823182 + 0.567777i \(0.192196\pi\)
\(38\) −4.10052 2.79568i −0.665191 0.453520i
\(39\) −2.49001 + 2.31039i −0.398721 + 0.369959i
\(40\) −0.162579 + 0.110844i −0.0257060 + 0.0175260i
\(41\) −0.431178 + 1.88911i −0.0673387 + 0.295030i −0.997372 0.0724440i \(-0.976920\pi\)
0.930034 + 0.367474i \(0.119777\pi\)
\(42\) −0.694945 + 4.17517i −0.107232 + 0.644243i
\(43\) 2.17526 + 9.53045i 0.331725 + 1.45338i 0.815790 + 0.578348i \(0.196303\pi\)
−0.484065 + 0.875032i \(0.660840\pi\)
\(44\) 2.69441 + 2.50005i 0.406198 + 0.376897i
\(45\) 0.0857502 + 0.0129248i 0.0127829 + 0.00192671i
\(46\) 4.68751 1.44590i 0.691135 0.213187i
\(47\) −0.497265 + 6.63553i −0.0725335 + 0.967892i 0.835634 + 0.549286i \(0.185100\pi\)
−0.908168 + 0.418606i \(0.862519\pi\)
\(48\) 1.59978 0.230908
\(49\) 4.98294 + 4.91633i 0.711849 + 0.702332i
\(50\) 4.96128 0.701631
\(51\) 0.467141 6.23356i 0.0654128 0.872873i
\(52\) 2.02895 0.625847i 0.281364 0.0867894i
\(53\) 1.69859 + 0.256021i 0.233319 + 0.0351672i 0.264661 0.964342i \(-0.414740\pi\)
−0.0313419 + 0.999509i \(0.509978\pi\)
\(54\) −4.03499 3.74392i −0.549093 0.509484i
\(55\) 0.160938 + 0.705116i 0.0217009 + 0.0950778i
\(56\) 1.52375 2.16291i 0.203620 0.289031i
\(57\) −1.76670 + 7.74043i −0.234005 + 1.02524i
\(58\) 0.661364 0.450910i 0.0868413 0.0592074i
\(59\) −10.5015 + 9.74393i −1.36717 + 1.26855i −0.437966 + 0.898991i \(0.644301\pi\)
−0.929207 + 0.369560i \(0.879508\pi\)
\(60\) 0.260090 + 0.177326i 0.0335775 + 0.0228927i
\(61\) 9.87335 1.48817i 1.26415 0.190540i 0.517459 0.855708i \(-0.326878\pi\)
0.746694 + 0.665168i \(0.231640\pi\)
\(62\) 0.0157920 0.00760503i 0.00200559 0.000965839i
\(63\) −1.14062 + 0.242000i −0.143705 + 0.0304891i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) 0.399236 + 0.123148i 0.0495191 + 0.0152746i
\(66\) 2.14826 5.47369i 0.264433 0.673764i
\(67\) −3.63377 6.29387i −0.443936 0.768919i 0.554042 0.832489i \(-0.313085\pi\)
−0.997977 + 0.0635698i \(0.979751\pi\)
\(68\) −1.95372 + 3.38395i −0.236924 + 0.410364i
\(69\) −4.89291 6.13551i −0.589037 0.738629i
\(70\) 0.487476 0.182744i 0.0582646 0.0218421i
\(71\) 6.28782 7.88468i 0.746227 0.935739i −0.253272 0.967395i \(-0.581507\pi\)
0.999499 + 0.0316561i \(0.0100781\pi\)
\(72\) 0.161010 + 0.410247i 0.0189752 + 0.0483480i
\(73\) −0.0400528 0.534467i −0.00468782 0.0625546i 0.994369 0.105971i \(-0.0337950\pi\)
−0.999057 + 0.0434160i \(0.986176\pi\)
\(74\) 0.663089 + 8.84830i 0.0770825 + 1.02859i
\(75\) −2.89969 7.38830i −0.334828 0.853127i
\(76\) 3.09430 3.88013i 0.354940 0.445081i
\(77\) −5.35429 8.11803i −0.610178 0.925135i
\(78\) −2.11785 2.65570i −0.239800 0.300699i
\(79\) 3.58658 6.21213i 0.403521 0.698919i −0.590627 0.806945i \(-0.701119\pi\)
0.994148 + 0.108025i \(0.0344528\pi\)
\(80\) −0.0983849 0.170408i −0.0109998 0.0190522i
\(81\) −2.73408 + 6.96632i −0.303787 + 0.774036i
\(82\) −1.85161 0.571146i −0.204476 0.0630725i
\(83\) 5.11559 + 2.46354i 0.561509 + 0.270409i 0.693035 0.720904i \(-0.256273\pi\)
−0.131525 + 0.991313i \(0.541988\pi\)
\(84\) −4.11157 1.00501i −0.448609 0.109656i
\(85\) −0.692726 + 0.333599i −0.0751366 + 0.0361839i
\(86\) −9.66636 + 1.45697i −1.04235 + 0.157109i
\(87\) −1.05803 0.721356i −0.113433 0.0773375i
\(88\) −2.69441 + 2.50005i −0.287225 + 0.266506i
\(89\) 11.0777 7.55263i 1.17423 0.800577i 0.190759 0.981637i \(-0.438905\pi\)
0.983472 + 0.181060i \(0.0579527\pi\)
\(90\) −0.0192967 + 0.0845445i −0.00203405 + 0.00891177i
\(91\) −5.60774 + 0.333855i −0.587851 + 0.0349975i
\(92\) 1.09156 + 4.78245i 0.113803 + 0.498605i
\(93\) −0.0205552 0.0190724i −0.00213147 0.00197772i
\(94\) −6.57982 0.991748i −0.678657 0.102291i
\(95\) 0.933158 0.287841i 0.0957400 0.0295319i
\(96\) −0.119552 + 1.59530i −0.0122017 + 0.162820i
\(97\) −14.8313 −1.50589 −0.752946 0.658083i \(-0.771368\pi\)
−0.752946 + 0.658083i \(0.771368\pi\)
\(98\) −5.27496 + 4.60161i −0.532851 + 0.464833i
\(99\) 1.61988 0.162804
\(100\) −0.370757 + 4.94741i −0.0370757 + 0.494741i
\(101\) 11.6090 3.58091i 1.15514 0.356314i 0.342749 0.939427i \(-0.388642\pi\)
0.812391 + 0.583113i \(0.198166\pi\)
\(102\) 6.18122 + 0.931670i 0.612032 + 0.0922490i
\(103\) 10.7283 + 9.95445i 1.05710 + 0.980841i 0.999847 0.0175184i \(-0.00557657\pi\)
0.0572492 + 0.998360i \(0.481767\pi\)
\(104\) 0.472474 + 2.07004i 0.0463299 + 0.202984i
\(105\) −0.557054 0.619138i −0.0543629 0.0604217i
\(106\) −0.382241 + 1.67471i −0.0371265 + 0.162662i
\(107\) −12.2697 + 8.36532i −1.18615 + 0.808706i −0.985286 0.170913i \(-0.945328\pi\)
−0.200867 + 0.979618i \(0.564376\pi\)
\(108\) 4.03499 3.74392i 0.388267 0.360259i
\(109\) −2.65254 1.80847i −0.254067 0.173220i 0.429589 0.903025i \(-0.358659\pi\)
−0.683656 + 0.729805i \(0.739611\pi\)
\(110\) −0.715171 + 0.107795i −0.0681889 + 0.0102778i
\(111\) 12.7893 6.15898i 1.21390 0.584585i
\(112\) 2.04299 + 1.68113i 0.193045 + 0.158851i
\(113\) −15.1173 7.28013i −1.42212 0.684857i −0.444606 0.895726i \(-0.646656\pi\)
−0.977514 + 0.210869i \(0.932371\pi\)
\(114\) −7.58676 2.34021i −0.710565 0.219180i
\(115\) −0.352643 + 0.898519i −0.0328841 + 0.0837874i
\(116\) 0.400225 + 0.693211i 0.0371600 + 0.0643630i
\(117\) 0.467876 0.810386i 0.0432552 0.0749202i
\(118\) −8.93191 11.2003i −0.822249 1.03107i
\(119\) 7.14710 7.46966i 0.655173 0.684743i
\(120\) −0.196267 + 0.246111i −0.0179167 + 0.0224668i
\(121\) 0.917049 + 2.33660i 0.0833680 + 0.212418i
\(122\) 0.746170 + 9.95695i 0.0675551 + 0.901460i
\(123\) 0.231654 + 3.09121i 0.0208876 + 0.278725i
\(124\) 0.00640362 + 0.0163162i 0.000575062 + 0.00146523i
\(125\) −1.22209 + 1.53245i −0.109307 + 0.137067i
\(126\) −0.156084 1.15552i −0.0139051 0.102942i
\(127\) −10.7383 13.4654i −0.952868 1.19486i −0.980754 0.195248i \(-0.937449\pi\)
0.0278858 0.999611i \(-0.491123\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 7.81935 + 13.5435i 0.688455 + 1.19244i
\(130\) −0.152638 + 0.388916i −0.0133873 + 0.0341102i
\(131\) 4.11482 + 1.26925i 0.359513 + 0.110895i 0.469250 0.883066i \(-0.344524\pi\)
−0.109736 + 0.993961i \(0.535001\pi\)
\(132\) 5.29784 + 2.55131i 0.461118 + 0.222063i
\(133\) −10.3902 + 8.02836i −0.900943 + 0.696147i
\(134\) 6.54783 3.15327i 0.565646 0.272401i
\(135\) 1.07100 0.161427i 0.0921768 0.0138934i
\(136\) −3.22848 2.20114i −0.276840 0.188746i
\(137\) 7.10952 6.59667i 0.607407 0.563592i −0.315349 0.948976i \(-0.602122\pi\)
0.922756 + 0.385384i \(0.125931\pi\)
\(138\) 6.48400 4.42072i 0.551955 0.376317i
\(139\) 3.88249 17.0103i 0.329309 1.44280i −0.491142 0.871080i \(-0.663420\pi\)
0.820451 0.571717i \(-0.193722\pi\)
\(140\) 0.145804 + 0.499770i 0.0123227 + 0.0422383i
\(141\) 2.36877 + 10.3782i 0.199486 + 0.874006i
\(142\) 7.39274 + 6.85946i 0.620385 + 0.575633i
\(143\) 7.71718 + 1.16318i 0.645343 + 0.0972698i
\(144\) −0.421132 + 0.129902i −0.0350943 + 0.0108252i
\(145\) −0.0117703 + 0.157064i −0.000977473 + 0.0130435i
\(146\) 0.535966 0.0443568
\(147\) 9.93570 + 5.16594i 0.819483 + 0.426079i
\(148\) −8.87311 −0.729365
\(149\) −0.994206 + 13.2668i −0.0814486 + 1.08686i 0.795399 + 0.606086i \(0.207261\pi\)
−0.876847 + 0.480769i \(0.840358\pi\)
\(150\) 7.58433 2.33946i 0.619258 0.191016i
\(151\) 8.66989 + 1.30678i 0.705546 + 0.106344i 0.492008 0.870591i \(-0.336263\pi\)
0.213538 + 0.976935i \(0.431501\pi\)
\(152\) 3.63804 + 3.37561i 0.295084 + 0.273798i
\(153\) 0.383193 + 1.67888i 0.0309794 + 0.135729i
\(154\) 8.49546 4.73266i 0.684583 0.381368i
\(155\) −0.000767462 0.00336247i −6.16440e−5 0.000270080i
\(156\) 2.80655 1.91347i 0.224703 0.153200i
\(157\) −16.8299 + 15.6159i −1.34317 + 1.24628i −0.398953 + 0.916972i \(0.630626\pi\)
−0.944221 + 0.329312i \(0.893183\pi\)
\(158\) 5.92674 + 4.04078i 0.471506 + 0.321467i
\(159\) 2.71736 0.409577i 0.215501 0.0324815i
\(160\) 0.177284 0.0853752i 0.0140155 0.00674951i
\(161\) 0.199022 12.9771i 0.0156851 1.02274i
\(162\) −6.74253 3.24703i −0.529743 0.255111i
\(163\) 2.45356 + 0.756824i 0.192178 + 0.0592790i 0.389350 0.921090i \(-0.372700\pi\)
−0.197172 + 0.980369i \(0.563176\pi\)
\(164\) 0.707920 1.80375i 0.0552792 0.140849i
\(165\) 0.578519 + 1.00202i 0.0450377 + 0.0780075i
\(166\) −2.83894 + 4.91719i −0.220344 + 0.381648i
\(167\) 8.17208 + 10.2475i 0.632375 + 0.792973i 0.990026 0.140882i \(-0.0449939\pi\)
−0.357652 + 0.933855i \(0.616422\pi\)
\(168\) 1.30946 4.02496i 0.101027 0.310533i
\(169\) −5.29448 + 6.63907i −0.407268 + 0.510698i
\(170\) −0.280899 0.715718i −0.0215440 0.0548931i
\(171\) −0.163449 2.18108i −0.0124993 0.166791i
\(172\) −0.730527 9.74821i −0.0557022 0.743294i
\(173\) −2.22728 5.67503i −0.169337 0.431464i 0.820862 0.571127i \(-0.193494\pi\)
−0.990199 + 0.139662i \(0.955398\pi\)
\(174\) 0.798406 1.00117i 0.0605270 0.0758984i
\(175\) 4.06094 12.4823i 0.306978 0.943577i
\(176\) −2.29171 2.87371i −0.172744 0.216614i
\(177\) −11.4589 + 19.8475i −0.861307 + 1.49183i
\(178\) 6.70368 + 11.6111i 0.502462 + 0.870289i
\(179\) −4.21718 + 10.7452i −0.315207 + 0.803134i 0.682200 + 0.731166i \(0.261023\pi\)
−0.997407 + 0.0719687i \(0.977072\pi\)
\(180\) −0.0828661 0.0255608i −0.00617647 0.00190519i
\(181\) −5.69072 2.74051i −0.422988 0.203700i 0.210266 0.977644i \(-0.432567\pi\)
−0.633254 + 0.773944i \(0.718281\pi\)
\(182\) 0.0861449 5.61701i 0.00638549 0.416360i
\(183\) 14.3917 6.93067i 1.06386 0.512330i
\(184\) −4.85065 + 0.731118i −0.357595 + 0.0538987i
\(185\) −1.44258 0.983535i −0.106061 0.0723109i
\(186\) 0.0205552 0.0190724i 0.00150718 0.00139846i
\(187\) −11.8666 + 8.09054i −0.867775 + 0.591639i
\(188\) 1.48069 6.48731i 0.107990 0.473135i
\(189\) −12.7223 + 7.08734i −0.925410 + 0.515528i
\(190\) 0.217301 + 0.952059i 0.0157647 + 0.0690696i
\(191\) −13.4230 12.4547i −0.971253 0.901191i 0.0238817 0.999715i \(-0.492398\pi\)
−0.995135 + 0.0985237i \(0.968588\pi\)
\(192\) −1.58191 0.238434i −0.114164 0.0172075i
\(193\) 14.0027 4.31926i 1.00794 0.310907i 0.253539 0.967325i \(-0.418405\pi\)
0.754397 + 0.656418i \(0.227929\pi\)
\(194\) 1.10835 14.7898i 0.0795746 1.06185i
\(195\) 0.668383 0.0478639
\(196\) −4.19455 5.60408i −0.299611 0.400292i
\(197\) −11.6028 −0.826664 −0.413332 0.910580i \(-0.635635\pi\)
−0.413332 + 0.910580i \(0.635635\pi\)
\(198\) −0.121054 + 1.61535i −0.00860294 + 0.114798i
\(199\) −6.49881 + 2.00462i −0.460689 + 0.142104i −0.516408 0.856343i \(-0.672731\pi\)
0.0557190 + 0.998446i \(0.482255\pi\)
\(200\) −4.90587 0.739441i −0.346897 0.0522864i
\(201\) −8.52279 7.90799i −0.601151 0.557787i
\(202\) 2.70335 + 11.8442i 0.190207 + 0.833352i
\(203\) −0.593124 2.03304i −0.0416292 0.142691i
\(204\) −1.39099 + 6.09432i −0.0973886 + 0.426687i
\(205\) 0.315028 0.214783i 0.0220025 0.0150011i
\(206\) −10.7283 + 9.95445i −0.747480 + 0.693560i
\(207\) 1.78623 + 1.21783i 0.124152 + 0.0846452i
\(208\) −2.09956 + 0.316458i −0.145578 + 0.0219424i
\(209\) 16.4351 7.91472i 1.13684 0.547473i
\(210\) 0.659035 0.509228i 0.0454778 0.0351401i
\(211\) −16.0956 7.75123i −1.10807 0.533617i −0.211881 0.977296i \(-0.567959\pi\)
−0.896186 + 0.443679i \(0.853673\pi\)
\(212\) −1.64146 0.506323i −0.112736 0.0347744i
\(213\) 5.89425 15.0183i 0.403868 1.02904i
\(214\) −7.42501 12.8605i −0.507563 0.879126i
\(215\) 0.961766 1.66583i 0.0655919 0.113609i
\(216\) 3.43192 + 4.30349i 0.233513 + 0.292816i
\(217\) −0.00620771 0.0459568i −0.000421407 0.00311975i
\(218\) 2.00164 2.50997i 0.135568 0.169997i
\(219\) −0.313253 0.798155i −0.0211677 0.0539343i
\(220\) −0.0540485 0.721227i −0.00364395 0.0486251i
\(221\) 0.620005 + 8.27339i 0.0417061 + 0.556529i
\(222\) 5.18602 + 13.2138i 0.348063 + 0.886849i
\(223\) −10.6188 + 13.3156i −0.711089 + 0.891677i −0.997797 0.0663407i \(-0.978868\pi\)
0.286708 + 0.958018i \(0.407439\pi\)
\(224\) −1.82910 + 1.91165i −0.122212 + 0.127727i
\(225\) 1.36326 + 1.70947i 0.0908838 + 0.113965i
\(226\) 8.38950 14.5310i 0.558061 0.966590i
\(227\) −1.22823 2.12736i −0.0815205 0.141198i 0.822383 0.568935i \(-0.192644\pi\)
−0.903903 + 0.427737i \(0.859311\pi\)
\(228\) 2.90062 7.39066i 0.192098 0.489458i
\(229\) −6.71788 2.07219i −0.443930 0.136934i 0.0647279 0.997903i \(-0.479382\pi\)
−0.508658 + 0.860969i \(0.669858\pi\)
\(230\) −0.869654 0.418803i −0.0573433 0.0276151i
\(231\) −12.0131 9.88529i −0.790405 0.650404i
\(232\) −0.721181 + 0.347303i −0.0473479 + 0.0228015i
\(233\) 11.6605 1.75754i 0.763907 0.115140i 0.244479 0.969655i \(-0.421383\pi\)
0.519428 + 0.854514i \(0.326145\pi\)
\(234\) 0.773155 + 0.527128i 0.0505427 + 0.0344595i
\(235\) 0.959810 0.890574i 0.0626111 0.0580946i
\(236\) 11.8364 8.06994i 0.770485 0.525308i
\(237\) 2.55353 11.1877i 0.165869 0.726721i
\(238\) 6.91467 + 7.68532i 0.448212 + 0.498165i
\(239\) 2.91267 + 12.7612i 0.188405 + 0.825456i 0.977458 + 0.211131i \(0.0677147\pi\)
−0.789053 + 0.614325i \(0.789428\pi\)
\(240\) −0.230756 0.214110i −0.0148952 0.0138208i
\(241\) 11.1274 + 1.67719i 0.716779 + 0.108037i 0.497298 0.867580i \(-0.334325\pi\)
0.219481 + 0.975617i \(0.429564\pi\)
\(242\) −2.39860 + 0.739870i −0.154188 + 0.0475606i
\(243\) 0.339346 4.52826i 0.0217691 0.290488i
\(244\) −9.98487 −0.639216
\(245\) −0.0607635 1.37605i −0.00388204 0.0879125i
\(246\) −3.09988 −0.197641
\(247\) 0.787472 10.5081i 0.0501057 0.668614i
\(248\) −0.0167491 + 0.00516641i −0.00106357 + 0.000328067i
\(249\) 8.98189 + 1.35380i 0.569204 + 0.0857937i
\(250\) −1.43684 1.33319i −0.0908738 0.0843185i
\(251\) 2.82158 + 12.3621i 0.178097 + 0.780292i 0.982508 + 0.186219i \(0.0596236\pi\)
−0.804412 + 0.594072i \(0.797519\pi\)
\(252\) 1.16395 0.0692956i 0.0733221 0.00436521i
\(253\) −4.01216 + 17.5784i −0.252243 + 1.10515i
\(254\) 14.2302 9.70198i 0.892882 0.608757i
\(255\) −0.901666 + 0.836624i −0.0564645 + 0.0523914i
\(256\) 0.826239 + 0.563320i 0.0516399 + 0.0352075i
\(257\) −22.3835 + 3.37378i −1.39625 + 0.210450i −0.803676 0.595068i \(-0.797125\pi\)
−0.592571 + 0.805518i \(0.701887\pi\)
\(258\) −14.0900 + 6.78538i −0.877204 + 0.422439i
\(259\) 22.8047 + 5.57427i 1.41701 + 0.346368i
\(260\) −0.376422 0.181275i −0.0233447 0.0112422i
\(261\) 0.337095 + 0.103980i 0.0208657 + 0.00643621i
\(262\) −1.57321 + 4.00846i −0.0971929 + 0.247644i
\(263\) 6.19224 + 10.7253i 0.381830 + 0.661349i 0.991324 0.131442i \(-0.0419606\pi\)
−0.609494 + 0.792791i \(0.708627\pi\)
\(264\) −2.94008 + 5.09237i −0.180949 + 0.313414i
\(265\) −0.210743 0.264264i −0.0129459 0.0162336i
\(266\) −7.22945 10.9611i −0.443266 0.672068i
\(267\) 13.3731 16.7693i 0.818420 1.02627i
\(268\) 2.65513 + 6.76516i 0.162188 + 0.413248i
\(269\) −1.33638 17.8328i −0.0814807 1.08728i −0.876724 0.480994i \(-0.840276\pi\)
0.795243 0.606291i \(-0.207343\pi\)
\(270\) 0.0809398 + 1.08007i 0.00492584 + 0.0657307i
\(271\) 1.94494 + 4.95562i 0.118147 + 0.301033i 0.977698 0.210017i \(-0.0673520\pi\)
−0.859551 + 0.511050i \(0.829257\pi\)
\(272\) 2.43625 3.05496i 0.147719 0.185234i
\(273\) −8.41514 + 3.15465i −0.509308 + 0.190928i
\(274\) 6.04693 + 7.58261i 0.365308 + 0.458082i
\(275\) −9.11787 + 15.7926i −0.549828 + 0.952331i
\(276\) 3.92381 + 6.79623i 0.236185 + 0.409085i
\(277\) 3.94288 10.0463i 0.236905 0.603623i −0.762136 0.647417i \(-0.775849\pi\)
0.999041 + 0.0437938i \(0.0139444\pi\)
\(278\) 16.6726 + 5.14282i 0.999957 + 0.308446i
\(279\) 0.00695971 + 0.00335162i 0.000416667 + 0.000200656i
\(280\) −0.509268 + 0.108049i −0.0304346 + 0.00645714i
\(281\) 29.3399 14.1293i 1.75027 0.842886i 0.771980 0.635646i \(-0.219266\pi\)
0.978290 0.207239i \(-0.0664479\pi\)
\(282\) −10.5262 + 1.58658i −0.626829 + 0.0944793i
\(283\) −19.7701 13.4790i −1.17521 0.801246i −0.191588 0.981475i \(-0.561364\pi\)
−0.983625 + 0.180229i \(0.942316\pi\)
\(284\) −7.39274 + 6.85946i −0.438678 + 0.407034i
\(285\) 1.29079 0.880048i 0.0764600 0.0521295i
\(286\) −1.73663 + 7.60867i −0.102689 + 0.449910i
\(287\) −2.95257 + 4.19106i −0.174284 + 0.247391i
\(288\) −0.0980675 0.429662i −0.00577868 0.0253181i
\(289\) 1.26956 + 1.17798i 0.0746797 + 0.0692927i
\(290\) −0.155745 0.0234748i −0.00914569 0.00137849i
\(291\) −22.6727 + 6.99360i −1.32910 + 0.409972i
\(292\) −0.0400528 + 0.534467i −0.00234391 + 0.0312773i
\(293\) 5.87190 0.343040 0.171520 0.985181i \(-0.445132\pi\)
0.171520 + 0.985181i \(0.445132\pi\)
\(294\) −5.89399 + 9.52187i −0.343744 + 0.555327i
\(295\) 2.81886 0.164120
\(296\) 0.663089 8.84830i 0.0385412 0.514297i
\(297\) 19.3331 5.96347i 1.12182 0.346035i
\(298\) −13.1554 1.98285i −0.762070 0.114864i
\(299\) 7.63519 + 7.08442i 0.441554 + 0.409702i
\(300\) 1.76614 + 7.73795i 0.101968 + 0.446751i
\(301\) −4.24651 + 25.5127i −0.244765 + 1.47053i
\(302\) −1.95102 + 8.54799i −0.112269 + 0.491882i
\(303\) 16.0582 10.9483i 0.922519 0.628963i
\(304\) −3.63804 + 3.37561i −0.208656 + 0.193604i
\(305\) −1.62333 1.10677i −0.0929516 0.0633733i
\(306\) −1.70282 + 0.256659i −0.0973438 + 0.0146722i
\(307\) 15.3333 7.38412i 0.875116 0.421434i 0.0582780 0.998300i \(-0.481439\pi\)
0.816838 + 0.576867i \(0.195725\pi\)
\(308\) 4.08456 + 8.82537i 0.232739 + 0.502872i
\(309\) 21.0944 + 10.1585i 1.20002 + 0.577899i
\(310\) −0.00329572 0.00101659i −0.000187184 5.77386e-5i
\(311\) 8.71956 22.2171i 0.494441 1.25982i −0.438157 0.898898i \(-0.644369\pi\)
0.932598 0.360917i \(-0.117536\pi\)
\(312\) 1.69839 + 2.94169i 0.0961522 + 0.166540i
\(313\) 6.16976 10.6863i 0.348735 0.604027i −0.637290 0.770624i \(-0.719945\pi\)
0.986025 + 0.166597i \(0.0532779\pi\)
\(314\) −14.3145 17.9498i −0.807815 1.01297i
\(315\) 0.196915 + 0.117752i 0.0110949 + 0.00663455i
\(316\) −4.47239 + 5.60820i −0.251591 + 0.315486i
\(317\) 0.149514 + 0.380955i 0.00839754 + 0.0213966i 0.935011 0.354619i \(-0.115389\pi\)
−0.926614 + 0.376015i \(0.877294\pi\)
\(318\) 0.205362 + 2.74037i 0.0115162 + 0.153672i
\(319\) 0.219867 + 2.93392i 0.0123102 + 0.164268i
\(320\) 0.0718881 + 0.183168i 0.00401867 + 0.0102394i
\(321\) −14.8121 + 18.5738i −0.826730 + 1.03669i
\(322\) 12.9259 + 1.16824i 0.720332 + 0.0651036i
\(323\) 12.0908 + 15.1614i 0.672750 + 0.843602i
\(324\) 3.74182 6.48102i 0.207879 0.360057i
\(325\) 5.26709 + 9.12287i 0.292166 + 0.506046i
\(326\) −0.938062 + 2.39014i −0.0519545 + 0.132378i
\(327\) −4.90772 1.51383i −0.271397 0.0837150i
\(328\) 1.74580 + 0.840735i 0.0963959 + 0.0464218i
\(329\) −7.88095 + 15.7427i −0.434491 + 0.867925i
\(330\) −1.04246 + 0.502020i −0.0573853 + 0.0276353i
\(331\) −2.91244 + 0.438979i −0.160082 + 0.0241285i −0.228594 0.973522i \(-0.573413\pi\)
0.0685122 + 0.997650i \(0.478175\pi\)
\(332\) −4.69128 3.19846i −0.257468 0.175539i
\(333\) −2.86659 + 2.65980i −0.157088 + 0.145756i
\(334\) −10.8295 + 7.38344i −0.592565 + 0.404004i
\(335\) −0.318212 + 1.39418i −0.0173858 + 0.0761721i
\(336\) 3.91585 + 1.60658i 0.213627 + 0.0876464i
\(337\) −5.56058 24.3625i −0.302904 1.32711i −0.865721 0.500527i \(-0.833139\pi\)
0.562817 0.826582i \(-0.309718\pi\)
\(338\) −6.22485 5.77582i −0.338587 0.314163i
\(339\) −26.5428 4.00069i −1.44161 0.217288i
\(340\) 0.734709 0.226628i 0.0398452 0.0122906i
\(341\) −0.00481451 + 0.0642452i −0.000260720 + 0.00347907i
\(342\) 2.18719 0.118270
\(343\) 7.25975 + 17.0381i 0.391990 + 0.919970i
\(344\) 9.77554 0.527062
\(345\) −0.115396 + 1.53986i −0.00621273 + 0.0829031i
\(346\) 5.82560 1.79696i 0.313186 0.0966052i
\(347\) −20.7503 3.12761i −1.11394 0.167899i −0.433818 0.901001i \(-0.642834\pi\)
−0.680119 + 0.733102i \(0.738072\pi\)
\(348\) 0.938705 + 0.870991i 0.0503199 + 0.0466900i
\(349\) −6.66288 29.1920i −0.356656 1.56261i −0.761462 0.648209i \(-0.775518\pi\)
0.404807 0.914402i \(-0.367339\pi\)
\(350\) 12.1440 + 4.98239i 0.649122 + 0.266320i
\(351\) 2.60067 11.3943i 0.138814 0.608182i
\(352\) 3.03693 2.07055i 0.161869 0.110360i
\(353\) 1.13992 1.05769i 0.0606717 0.0562951i −0.649254 0.760571i \(-0.724919\pi\)
0.709926 + 0.704276i \(0.248728\pi\)
\(354\) −18.9356 12.9101i −1.00642 0.686164i
\(355\) −1.96224 + 0.295760i −0.104145 + 0.0156973i
\(356\) −12.0796 + 5.81723i −0.640218 + 0.308313i
\(357\) 7.40353 14.7891i 0.391836 0.782720i
\(358\) −10.4000 5.00838i −0.549658 0.264701i
\(359\) 18.6430 + 5.75059i 0.983938 + 0.303505i 0.744658 0.667446i \(-0.232612\pi\)
0.239280 + 0.970951i \(0.423089\pi\)
\(360\) 0.0316819 0.0807242i 0.00166978 0.00425454i
\(361\) −2.81504 4.87579i −0.148160 0.256620i
\(362\) 3.15811 5.47001i 0.165987 0.287497i
\(363\) 2.50370 + 3.13954i 0.131410 + 0.164783i
\(364\) 5.59486 + 0.505663i 0.293250 + 0.0265040i
\(365\) −0.0657544 + 0.0824534i −0.00344174 + 0.00431581i
\(366\) 5.83580 + 14.8694i 0.305042 + 0.777235i
\(367\) −0.553681 7.38836i −0.0289019 0.385669i −0.992832 0.119515i \(-0.961866\pi\)
0.963930 0.266154i \(-0.0857530\pi\)
\(368\) −0.366584 4.89172i −0.0191095 0.254999i
\(369\) −0.311988 0.794933i −0.0162415 0.0413826i
\(370\) 1.08859 1.36505i 0.0565930 0.0709654i
\(371\) 3.90060 + 2.33249i 0.202509 + 0.121097i
\(372\) 0.0174830 + 0.0219230i 0.000906452 + 0.00113665i
\(373\) 14.0282 24.2975i 0.726351 1.25808i −0.232065 0.972700i \(-0.574548\pi\)
0.958416 0.285376i \(-0.0921185\pi\)
\(374\) −7.18112 12.4381i −0.371327 0.643157i
\(375\) −1.14560 + 2.91893i −0.0591584 + 0.150733i
\(376\) 6.35852 + 1.96134i 0.327915 + 0.101149i
\(377\) 1.53127 + 0.737420i 0.0788643 + 0.0379791i
\(378\) −6.11679 13.2163i −0.314614 0.679775i
\(379\) 10.4271 5.02142i 0.535603 0.257933i −0.146472 0.989215i \(-0.546792\pi\)
0.682075 + 0.731282i \(0.261078\pi\)
\(380\) −0.965636 + 0.145546i −0.0495361 + 0.00746636i
\(381\) −22.7651 15.5210i −1.16629 0.795166i
\(382\) 13.4230 12.4547i 0.686780 0.637238i
\(383\) −29.8737 + 20.3676i −1.52648 + 1.04073i −0.547488 + 0.836813i \(0.684416\pi\)
−0.978987 + 0.203920i \(0.934632\pi\)
\(384\) 0.355984 1.55967i 0.0181662 0.0795915i
\(385\) −0.314180 + 1.88757i −0.0160121 + 0.0961995i
\(386\) 3.26076 + 14.2863i 0.165968 + 0.727155i
\(387\) −3.15813 2.93032i −0.160537 0.148956i
\(388\) 14.6657 + 2.21049i 0.744536 + 0.112221i
\(389\) −3.72117 + 1.14783i −0.188671 + 0.0581972i −0.387651 0.921806i \(-0.626713\pi\)
0.198980 + 0.980004i \(0.436237\pi\)
\(390\) −0.0499483 + 0.666514i −0.00252923 + 0.0337502i
\(391\) −19.1677 −0.969354
\(392\) 5.90187 3.76403i 0.298090 0.190112i
\(393\) 6.88885 0.347496
\(394\) 0.867077 11.5703i 0.0436827 0.582905i
\(395\) −1.34875 + 0.416035i −0.0678631 + 0.0209330i
\(396\) −1.60179 0.241431i −0.0804930 0.0121324i
\(397\) 8.47918 + 7.86753i 0.425558 + 0.394860i 0.863668 0.504061i \(-0.168161\pi\)
−0.438110 + 0.898921i \(0.644352\pi\)
\(398\) −1.51336 6.63045i −0.0758577 0.332354i
\(399\) −12.0978 + 17.1724i −0.605648 + 0.859695i
\(400\) 1.10399 4.83689i 0.0551995 0.241845i
\(401\) −14.4114 + 9.82550i −0.719669 + 0.490662i −0.866926 0.498436i \(-0.833908\pi\)
0.147257 + 0.989098i \(0.452956\pi\)
\(402\) 8.52279 7.90799i 0.425078 0.394415i
\(403\) 0.0307496 + 0.0209647i 0.00153175 + 0.00104433i
\(404\) −12.0131 + 1.81068i −0.597672 + 0.0900846i
\(405\) 1.32673 0.638918i 0.0659255 0.0317481i
\(406\) 2.07168 0.439537i 0.102816 0.0218138i
\(407\) −29.3843 14.1507i −1.45653 0.701426i
\(408\) −5.97333 1.84253i −0.295724 0.0912187i
\(409\) −6.41167 + 16.3367i −0.317037 + 0.807796i 0.680167 + 0.733058i \(0.261907\pi\)
−0.997203 + 0.0747385i \(0.976188\pi\)
\(410\) 0.190640 + 0.330198i 0.00941504 + 0.0163073i
\(411\) 7.75774 13.4368i 0.382661 0.662788i
\(412\) −9.12489 11.4422i −0.449551 0.563719i
\(413\) −35.4903 + 13.3045i −1.74636 + 0.654674i
\(414\) −1.34791 + 1.69023i −0.0662463 + 0.0830702i
\(415\) −0.408172 1.04001i −0.0200364 0.0510519i
\(416\) −0.158673 2.11734i −0.00777957 0.103811i
\(417\) −2.08591 27.8345i −0.102147 1.36306i
\(418\) 6.66440 + 16.9806i 0.325966 + 0.830549i
\(419\) −10.9814 + 13.7703i −0.536478 + 0.672723i −0.974016 0.226477i \(-0.927279\pi\)
0.437538 + 0.899200i \(0.355851\pi\)
\(420\) 0.458554 + 0.695247i 0.0223752 + 0.0339246i
\(421\) 10.8224 + 13.5709i 0.527451 + 0.661403i 0.972173 0.234266i \(-0.0752687\pi\)
−0.444721 + 0.895669i \(0.646697\pi\)
\(422\) 8.93238 15.4713i 0.434822 0.753133i
\(423\) −1.46628 2.53967i −0.0712929 0.123483i
\(424\) 0.627573 1.59903i 0.0304777 0.0776558i
\(425\) −18.5247 5.71410i −0.898579 0.277175i
\(426\) 14.5358 + 7.00009i 0.704264 + 0.339156i
\(427\) 25.6620 + 6.27270i 1.24187 + 0.303557i
\(428\) 13.3794 6.44319i 0.646718 0.311443i
\(429\) 12.3458 1.86082i 0.596059 0.0898415i
\(430\) 1.58930 + 1.08356i 0.0766427 + 0.0522541i
\(431\) −11.5057 + 10.6757i −0.554208 + 0.514230i −0.906808 0.421544i \(-0.861488\pi\)
0.352600 + 0.935774i \(0.385298\pi\)
\(432\) −4.54793 + 3.10072i −0.218812 + 0.149184i
\(433\) −4.27028 + 18.7093i −0.205217 + 0.899113i 0.762483 + 0.647008i \(0.223980\pi\)
−0.967700 + 0.252105i \(0.918877\pi\)
\(434\) 0.0462922 0.00275600i 0.00222210 0.000132292i
\(435\) 0.0560691 + 0.245655i 0.00268831 + 0.0117782i
\(436\) 2.35337 + 2.18361i 0.112706 + 0.104576i
\(437\) 24.0732 + 3.62844i 1.15158 + 0.173572i
\(438\) 0.819333 0.252731i 0.0391492 0.0120759i
\(439\) 0.451112 6.01967i 0.0215304 0.287303i −0.976038 0.217602i \(-0.930176\pi\)
0.997568 0.0697010i \(-0.0222045\pi\)
\(440\) 0.723250 0.0344796
\(441\) −3.03499 0.553123i −0.144523 0.0263392i
\(442\) −8.29659 −0.394629
\(443\) −0.0468400 + 0.625036i −0.00222543 + 0.0296963i −0.998206 0.0598736i \(-0.980930\pi\)
0.995981 + 0.0895700i \(0.0285493\pi\)
\(444\) −13.5644 + 4.18405i −0.643736 + 0.198566i
\(445\) −2.60870 0.393198i −0.123664 0.0186394i
\(446\) −12.4848 11.5842i −0.591173 0.548528i
\(447\) 4.73600 + 20.7498i 0.224005 + 0.981430i
\(448\) −1.76962 1.96684i −0.0836065 0.0929245i
\(449\) −4.20152 + 18.4081i −0.198282 + 0.868731i 0.773677 + 0.633580i \(0.218415\pi\)
−0.971959 + 0.235150i \(0.924442\pi\)
\(450\) −1.80657 + 1.23170i −0.0851623 + 0.0580627i
\(451\) 5.22095 4.84434i 0.245845 0.228111i
\(452\) 13.8635 + 9.45194i 0.652082 + 0.444582i
\(453\) 13.8699 2.09055i 0.651665 0.0982226i
\(454\) 2.21319 1.06582i 0.103870 0.0500213i
\(455\) 0.853556 + 0.702369i 0.0400153 + 0.0329276i
\(456\) 7.15323 + 3.44481i 0.334981 + 0.161318i
\(457\) 13.2386 + 4.08356i 0.619275 + 0.191021i 0.588489 0.808505i \(-0.299723\pi\)
0.0307856 + 0.999526i \(0.490199\pi\)
\(458\) 2.56843 6.54424i 0.120015 0.305792i
\(459\) 10.7540 + 18.6265i 0.501955 + 0.869411i
\(460\) 0.482622 0.835925i 0.0225023 0.0389752i
\(461\) 20.1828 + 25.3084i 0.940007 + 1.17873i 0.983724 + 0.179687i \(0.0575085\pi\)
−0.0437171 + 0.999044i \(0.513920\pi\)
\(462\) 10.7554 11.2408i 0.500386 0.522970i
\(463\) 3.23684 4.05887i 0.150429 0.188632i −0.700907 0.713252i \(-0.747221\pi\)
0.851336 + 0.524621i \(0.175793\pi\)
\(464\) −0.292438 0.745119i −0.0135761 0.0345913i
\(465\) 0.000412326 0.00550211i 1.91212e−5 0.000255154i
\(466\) 0.881236 + 11.7593i 0.0408225 + 0.544738i
\(467\) −1.70393 4.34154i −0.0788484 0.200902i 0.886014 0.463659i \(-0.153464\pi\)
−0.964862 + 0.262756i \(0.915368\pi\)
\(468\) −0.583432 + 0.731601i −0.0269692 + 0.0338183i
\(469\) −2.57390 19.0551i −0.118852 0.879881i
\(470\) 0.816357 + 1.02368i 0.0376557 + 0.0472188i
\(471\) −18.3644 + 31.8081i −0.846187 + 1.46564i
\(472\) 7.16283 + 12.4064i 0.329696 + 0.571050i
\(473\) 13.1271 33.4473i 0.603585 1.53791i
\(474\) 10.9656 + 3.38245i 0.503668 + 0.155361i
\(475\) 22.1838 + 10.6832i 1.01786 + 0.490177i
\(476\) −8.18057 + 6.32101i −0.374956 + 0.289723i
\(477\) −0.682072 + 0.328468i −0.0312299 + 0.0150395i
\(478\) −12.9432 + 1.95088i −0.592009 + 0.0892311i
\(479\) 5.00626 + 3.41321i 0.228742 + 0.155954i 0.672268 0.740308i \(-0.265320\pi\)
−0.443526 + 0.896261i \(0.646273\pi\)
\(480\) 0.230756 0.214110i 0.0105325 0.00977275i
\(481\) −15.5664 + 10.6130i −0.709767 + 0.483911i
\(482\) −2.50405 + 10.9710i −0.114056 + 0.499713i
\(483\) −5.81499 19.9319i −0.264591 0.906934i
\(484\) −0.558553 2.44718i −0.0253888 0.111236i
\(485\) 2.13931 + 1.98499i 0.0971409 + 0.0901336i
\(486\) 4.49024 + 0.676795i 0.203682 + 0.0307001i
\(487\) 5.66957 1.74883i 0.256913 0.0792471i −0.163623 0.986523i \(-0.552318\pi\)
0.420536 + 0.907276i \(0.361842\pi\)
\(488\) 0.746170 9.95695i 0.0337775 0.450730i
\(489\) 4.10765 0.185754
\(490\) 1.37674 + 0.0422386i 0.0621948 + 0.00190814i
\(491\) −7.10630 −0.320703 −0.160352 0.987060i \(-0.551263\pi\)
−0.160352 + 0.987060i \(0.551263\pi\)
\(492\) 0.231654 3.09121i 0.0104438 0.139363i
\(493\) −2.98876 + 0.921911i −0.134607 + 0.0415208i
\(494\) 10.4199 + 1.57054i 0.468812 + 0.0706620i
\(495\) −0.233656 0.216801i −0.0105021 0.00974449i
\(496\) −0.00390030 0.0170883i −0.000175129 0.000767289i
\(497\) 23.3092 12.9851i 1.04556 0.582463i
\(498\) −2.02123 + 8.85561i −0.0905737 + 0.396829i
\(499\) 10.8119 7.37142i 0.484007 0.329990i −0.296612 0.954998i \(-0.595857\pi\)
0.780618 + 0.625008i \(0.214904\pi\)
\(500\) 1.43684 1.33319i 0.0642575 0.0596222i
\(501\) 17.3248 + 11.8119i 0.774016 + 0.527715i
\(502\) −12.5384 + 1.88987i −0.559618 + 0.0843488i
\(503\) 0.870907 0.419407i 0.0388318 0.0187004i −0.414367 0.910110i \(-0.635997\pi\)
0.453199 + 0.891409i \(0.350283\pi\)
\(504\) −0.0178804 + 1.16588i −0.000796456 + 0.0519322i
\(505\) −2.15377 1.03720i −0.0958416 0.0461549i
\(506\) −17.2295 5.31458i −0.765943 0.236262i
\(507\) −4.96309 + 12.6457i −0.220419 + 0.561617i
\(508\) 8.61143 + 14.9154i 0.382070 + 0.661765i
\(509\) 6.80981 11.7949i 0.301840 0.522801i −0.674713 0.738080i \(-0.735733\pi\)
0.976553 + 0.215279i \(0.0690660\pi\)
\(510\) −0.766903 0.961666i −0.0339590 0.0425833i
\(511\) 0.438702 1.34846i 0.0194070 0.0596525i
\(512\) −0.623490 + 0.781831i −0.0275546 + 0.0345524i
\(513\) −9.98020 25.4291i −0.440637 1.12272i
\(514\) −1.69162 22.5731i −0.0746141 0.995656i
\(515\) −0.215205 2.87171i −0.00948307 0.126543i
\(516\) −5.71346 14.5577i −0.251521 0.640865i
\(517\) 15.2493 19.1221i 0.670665 0.840987i
\(518\) −7.26288 + 22.3243i −0.319112 + 0.980875i
\(519\) −6.08088 7.62518i −0.266921 0.334708i
\(520\) 0.208899 0.361823i 0.00916081 0.0158670i
\(521\) 10.5561 + 18.2836i 0.462469 + 0.801020i 0.999083 0.0428074i \(-0.0136302\pi\)
−0.536614 + 0.843828i \(0.680297\pi\)
\(522\) −0.128881 + 0.328382i −0.00564095 + 0.0143729i
\(523\) 2.30274 + 0.710302i 0.100692 + 0.0310594i 0.344692 0.938716i \(-0.387983\pi\)
−0.244000 + 0.969775i \(0.578460\pi\)
\(524\) −3.87969 1.86836i −0.169485 0.0816196i
\(525\) 0.322015 20.9967i 0.0140539 0.916372i
\(526\) −11.1580 + 5.37343i −0.486514 + 0.234293i
\(527\) −0.0677239 + 0.0102077i −0.00295010 + 0.000444656i
\(528\) −4.85842 3.31241i −0.211435 0.144154i
\(529\) −0.779496 + 0.723267i −0.0338911 + 0.0314464i
\(530\) 0.279274 0.190406i 0.0121309 0.00827069i
\(531\) 1.40488 6.15519i 0.0609667 0.267113i
\(532\) 11.4707 6.39011i 0.497318 0.277046i
\(533\) −0.915510 4.01111i −0.0396552 0.173741i
\(534\) 15.7231 + 14.5889i 0.680404 + 0.631323i
\(535\) 2.88940 + 0.435507i 0.124920 + 0.0188286i
\(536\) −6.94466 + 2.14215i −0.299964 + 0.0925266i
\(537\) −1.38000 + 18.4148i −0.0595514 + 0.794658i
\(538\) 17.8828 0.770982
\(539\) −4.95339 25.2480i −0.213357 1.08751i
\(540\) −1.08309 −0.0466090
\(541\) 0.118847 1.58590i 0.00510962 0.0681831i −0.994066 0.108778i \(-0.965306\pi\)
0.999176 + 0.0405949i \(0.0129253\pi\)
\(542\) −5.08711 + 1.56917i −0.218510 + 0.0674015i
\(543\) −9.99170 1.50601i −0.428785 0.0646289i
\(544\) 2.86436 + 2.65774i 0.122808 + 0.113950i
\(545\) 0.140568 + 0.615867i 0.00602126 + 0.0263809i
\(546\) −2.51697 8.62736i −0.107716 0.369217i
\(547\) 1.49828 6.56438i 0.0640617 0.280673i −0.932744 0.360540i \(-0.882592\pi\)
0.996806 + 0.0798671i \(0.0254496\pi\)
\(548\) −8.01330 + 5.46337i −0.342311 + 0.233384i
\(549\) −3.22576 + 2.99306i −0.137672 + 0.127741i
\(550\) −15.0671 10.2726i −0.642462 0.438023i
\(551\) 3.92816 0.592075i 0.167345 0.0252233i
\(552\) −7.07046 + 3.40495i −0.300939 + 0.144924i
\(553\) 15.0176 11.6039i 0.638613 0.493448i
\(554\) 9.72355 + 4.68262i 0.413114 + 0.198945i
\(555\) −2.66906 0.823295i −0.113295 0.0349469i
\(556\) −6.37439 + 16.2417i −0.270334 + 0.688800i
\(557\) −5.10031 8.83400i −0.216107 0.374309i 0.737507 0.675339i \(-0.236003\pi\)
−0.953615 + 0.301030i \(0.902669\pi\)
\(558\) −0.00386235 + 0.00668979i −0.000163506 + 0.000283201i
\(559\) −12.9413 16.2279i −0.547358 0.686365i
\(560\) −0.0696888 0.515919i −0.00294489 0.0218015i
\(561\) −14.3256 + 17.9637i −0.604825 + 0.758427i
\(562\) 11.8973 + 30.3137i 0.501856 + 1.27871i
\(563\) 2.11398 + 28.2090i 0.0890935 + 1.18887i 0.845211 + 0.534433i \(0.179475\pi\)
−0.756117 + 0.654436i \(0.772906\pi\)
\(564\) −0.795513 10.6154i −0.0334971 0.446988i
\(565\) 1.20621 + 3.07337i 0.0507456 + 0.129298i
\(566\) 14.9188 18.7076i 0.627083 0.786337i
\(567\) −13.6883 + 14.3061i −0.574855 + 0.600799i
\(568\) −6.28782 7.88468i −0.263831 0.330834i
\(569\) −9.95541 + 17.2433i −0.417352 + 0.722875i −0.995672 0.0929347i \(-0.970375\pi\)
0.578320 + 0.815810i \(0.303709\pi\)
\(570\) 0.781126 + 1.35295i 0.0327178 + 0.0566688i
\(571\) 3.05924 7.79483i 0.128025 0.326203i −0.852461 0.522791i \(-0.824891\pi\)
0.980486 + 0.196588i \(0.0629861\pi\)
\(572\) −7.45762 2.30037i −0.311819 0.0961833i
\(573\) −26.3927 12.7101i −1.10257 0.530970i
\(574\) −3.95870 3.25751i −0.165233 0.135966i
\(575\) −21.9271 + 10.5595i −0.914424 + 0.440364i
\(576\) 0.435789 0.0656846i 0.0181579 0.00273686i
\(577\) 26.4022 + 18.0007i 1.09914 + 0.749378i 0.970208 0.242275i \(-0.0778937\pi\)
0.128929 + 0.991654i \(0.458846\pi\)
\(578\) −1.26956 + 1.17798i −0.0528065 + 0.0489973i
\(579\) 19.3693 13.2057i 0.804959 0.548812i
\(580\) 0.0350481 0.153556i 0.00145529 0.00637605i
\(581\) 10.0477 + 11.1675i 0.416847 + 0.463305i
\(582\) −5.27971 23.1319i −0.218851 0.958849i
\(583\) −4.62839 4.29452i −0.191688 0.177861i
\(584\) −0.529979 0.0798815i −0.0219307 0.00330552i
\(585\) −0.175948 + 0.0542727i −0.00727454 + 0.00224390i
\(586\) −0.438807 + 5.85548i −0.0181270 + 0.241887i
\(587\) 0.421212 0.0173853 0.00869264 0.999962i \(-0.497233\pi\)
0.00869264 + 0.999962i \(0.497233\pi\)
\(588\) −9.05479 6.58908i −0.373413 0.271729i
\(589\) 0.0869882 0.00358428
\(590\) −0.210654 + 2.81098i −0.00867247 + 0.115726i
\(591\) −17.7372 + 5.47121i −0.729612 + 0.225055i
\(592\) 8.77401 + 1.32247i 0.360609 + 0.0543531i
\(593\) −21.1750 19.6476i −0.869555 0.806829i 0.112846 0.993612i \(-0.464003\pi\)
−0.982401 + 0.186784i \(0.940194\pi\)
\(594\) 4.50203 + 19.7247i 0.184720 + 0.809313i
\(595\) −2.03064 + 0.120893i −0.0832480 + 0.00495615i
\(596\) 2.96041 12.9704i 0.121263 0.531288i
\(597\) −8.98950 + 6.12894i −0.367916 + 0.250841i
\(598\) −7.63519 + 7.08442i −0.312226 + 0.289703i
\(599\) 5.36021 + 3.65453i 0.219012 + 0.149320i 0.667857 0.744290i \(-0.267212\pi\)
−0.448844 + 0.893610i \(0.648164\pi\)
\(600\) −7.84830 + 1.18294i −0.320405 + 0.0482933i
\(601\) −4.80424 + 2.31360i −0.195969 + 0.0943737i −0.529295 0.848438i \(-0.677543\pi\)
0.333326 + 0.942812i \(0.391829\pi\)
\(602\) −25.1240 6.14120i −1.02398 0.250296i
\(603\) 2.88570 + 1.38968i 0.117515 + 0.0565922i
\(604\) −8.37829 2.58436i −0.340908 0.105156i
\(605\) 0.180448 0.459773i 0.00733623 0.0186924i
\(606\) 9.71765 + 16.8315i 0.394752 + 0.683731i
\(607\) 3.78912 6.56294i 0.153796 0.266382i −0.778824 0.627242i \(-0.784184\pi\)
0.932620 + 0.360861i \(0.117517\pi\)
\(608\) −3.09430 3.88013i −0.125490 0.157360i
\(609\) −1.86538 2.82823i −0.0755889 0.114606i
\(610\) 1.22498 1.53608i 0.0495982 0.0621941i
\(611\) −5.16175 13.1519i −0.208822 0.532070i
\(612\) −0.128689 1.71724i −0.00520196 0.0694153i
\(613\) 2.23150 + 29.7774i 0.0901296 + 1.20270i 0.840549 + 0.541735i \(0.182232\pi\)
−0.750420 + 0.660961i \(0.770149\pi\)
\(614\) 6.21761 + 15.8422i 0.250922 + 0.639340i
\(615\) 0.380306 0.476889i 0.0153354 0.0192300i
\(616\) −9.10593 + 3.41362i −0.366889 + 0.137539i
\(617\) −23.2601 29.1672i −0.936416 1.17423i −0.984500 0.175386i \(-0.943883\pi\)
0.0480833 0.998843i \(-0.484689\pi\)
\(618\) −11.7065 + 20.2763i −0.470905 + 0.815632i
\(619\) −10.2390 17.7345i −0.411541 0.712811i 0.583517 0.812101i \(-0.301676\pi\)
−0.995059 + 0.0992902i \(0.968343\pi\)
\(620\) 0.00126004 0.00321053i 5.06044e−5 0.000128938i
\(621\) 25.8018 + 7.95880i 1.03539 + 0.319376i
\(622\) 21.5033 + 10.3555i 0.862206 + 0.415216i
\(623\) 34.7001 7.36213i 1.39023 0.294958i
\(624\) −3.06039 + 1.47380i −0.122514 + 0.0589994i
\(625\) −24.1480 + 3.63972i −0.965919 + 0.145589i
\(626\) 10.1954 + 6.95109i 0.407489 + 0.277822i
\(627\) 21.3923 19.8491i 0.854325 0.792698i
\(628\) 18.9694 12.9331i 0.756960 0.516087i
\(629\) 7.71507 33.8019i 0.307620 1.34777i
\(630\) −0.132138 + 0.187565i −0.00526450 + 0.00747276i
\(631\) 5.07634 + 22.2409i 0.202086 + 0.885396i 0.969664 + 0.244441i \(0.0786044\pi\)
−0.767578 + 0.640955i \(0.778538\pi\)
\(632\) −5.25829 4.87898i −0.209164 0.194075i
\(633\) −28.2604 4.25958i −1.12325 0.169303i
\(634\) −0.391063 + 0.120627i −0.0155311 + 0.00479071i
\(635\) −0.253256 + 3.37946i −0.0100502 + 0.134110i
\(636\) −2.74806 −0.108968
\(637\) −14.0616 4.81440i −0.557141 0.190754i
\(638\) −2.94215 −0.116481
\(639\) −0.332140 + 4.43209i −0.0131392 + 0.175331i
\(640\) −0.188028 + 0.0579989i −0.00743246 + 0.00229261i
\(641\) −11.4914 1.73205i −0.453883 0.0684118i −0.0818773 0.996642i \(-0.526092\pi\)
−0.372005 + 0.928231i \(0.621330\pi\)
\(642\) −17.4149 16.1587i −0.687312 0.637733i
\(643\) −8.66781 37.9761i −0.341825 1.49763i −0.795219 0.606323i \(-0.792644\pi\)
0.453394 0.891310i \(-0.350213\pi\)
\(644\) −2.13093 + 12.8024i −0.0839703 + 0.504487i
\(645\) 0.684747 3.00007i 0.0269619 0.118128i
\(646\) −16.0225 + 10.9240i −0.630398 + 0.429798i
\(647\) 30.8095 28.5870i 1.21125 1.12387i 0.222397 0.974956i \(-0.428612\pi\)
0.988850 0.148917i \(-0.0475786\pi\)
\(648\) 6.18327 + 4.21568i 0.242902 + 0.165608i
\(649\) 52.0675 7.84791i 2.04383 0.308057i
\(650\) −9.49097 + 4.57061i −0.372266 + 0.179274i
\(651\) −0.0311604 0.0673272i −0.00122127 0.00263876i
\(652\) −2.31336 1.11406i −0.0905981 0.0436298i
\(653\) 12.6974 + 3.91663i 0.496888 + 0.153270i 0.533063 0.846076i \(-0.321041\pi\)
−0.0361744 + 0.999345i \(0.511517\pi\)
\(654\) 1.87635 4.78087i 0.0733711 0.186947i
\(655\) −0.423658 0.733797i −0.0165537 0.0286718i
\(656\) −0.968848 + 1.67809i −0.0378272 + 0.0655185i
\(657\) 0.147272 + 0.184673i 0.00574563 + 0.00720480i
\(658\) −15.1098 9.03537i −0.589040 0.352235i
\(659\) 0.317674 0.398351i 0.0123748 0.0155175i −0.775606 0.631218i \(-0.782555\pi\)
0.787980 + 0.615700i \(0.211127\pi\)
\(660\) −0.422714 1.07706i −0.0164541 0.0419244i
\(661\) −0.0694395 0.926606i −0.00270088 0.0360408i 0.995691 0.0927383i \(-0.0295620\pi\)
−0.998391 + 0.0566975i \(0.981943\pi\)
\(662\) −0.220105 2.93710i −0.00855463 0.114154i
\(663\) 4.84906 + 12.3552i 0.188322 + 0.479837i
\(664\) 3.54010 4.43915i 0.137383 0.172272i
\(665\) 2.57320 + 0.232566i 0.0997845 + 0.00901852i
\(666\) −2.43815 3.05734i −0.0944762 0.118469i
\(667\) −1.96328 + 3.40050i −0.0760186 + 0.131668i
\(668\) −6.55350 11.3510i −0.253563 0.439183i
\(669\) −9.95417 + 25.3628i −0.384850 + 0.980583i
\(670\) −1.36650 0.421510i −0.0527925 0.0162843i
\(671\) −33.0660 15.9238i −1.27650 0.614730i
\(672\) −1.89472 + 3.78484i −0.0730906 + 0.146004i
\(673\) −28.3312 + 13.6436i −1.09209 + 0.525922i −0.891162 0.453684i \(-0.850109\pi\)
−0.200926 + 0.979606i \(0.564395\pi\)
\(674\) 24.7099 3.72442i 0.951790 0.143459i
\(675\) 22.5635 + 15.3836i 0.868471 + 0.592114i
\(676\) 6.22485 5.77582i 0.239417 0.222147i
\(677\) −2.63298 + 1.79514i −0.101194 + 0.0689927i −0.612860 0.790192i \(-0.709981\pi\)
0.511666 + 0.859184i \(0.329029\pi\)
\(678\) 5.97305 26.1697i 0.229394 1.00504i
\(679\) −36.3033 14.8944i −1.39319 0.571595i
\(680\) 0.171089 + 0.749590i 0.00656097 + 0.0287455i
\(681\) −2.88074 2.67293i −0.110390 0.102427i
\(682\) −0.0637058 0.00960210i −0.00243942 0.000367683i
\(683\) 8.44697 2.60554i 0.323214 0.0996984i −0.128902 0.991657i \(-0.541145\pi\)
0.452116 + 0.891959i \(0.350669\pi\)
\(684\) −0.163449 + 2.18108i −0.00624964 + 0.0833956i
\(685\) −1.90838 −0.0729153
\(686\) −17.5330 + 5.96619i −0.669411 + 0.227790i
\(687\) −11.2468 −0.429091
\(688\) −0.730527 + 9.74821i −0.0278511 + 0.371647i
\(689\) −3.48527 + 1.07506i −0.132778 + 0.0409567i
\(690\) −1.52693 0.230147i −0.0581291 0.00876156i
\(691\) 12.9815 + 12.0451i 0.493839 + 0.458216i 0.887345 0.461106i \(-0.152547\pi\)
−0.393506 + 0.919322i \(0.628738\pi\)
\(692\) 1.35659 + 5.94360i 0.0515697 + 0.225942i
\(693\) 3.96507 + 1.62678i 0.150620 + 0.0617961i
\(694\) 4.66954 20.4586i 0.177253 0.776598i
\(695\) −2.83664 + 1.93399i −0.107600 + 0.0733604i
\(696\) −0.938705 + 0.870991i −0.0355815 + 0.0330148i
\(697\) 6.25582 + 4.26514i 0.236956 + 0.161554i
\(698\) 29.6083 4.46273i 1.12069 0.168917i
\(699\) 16.9968 8.18521i 0.642876 0.309593i
\(700\) −5.87598 + 11.7377i −0.222091 + 0.443643i
\(701\) 31.3004 + 15.0735i 1.18220 + 0.569318i 0.918552 0.395301i \(-0.129360\pi\)
0.263648 + 0.964619i \(0.415074\pi\)
\(702\) 11.1681 + 3.44490i 0.421512 + 0.130019i
\(703\) −16.0882 + 40.9920i −0.606778 + 1.54604i
\(704\) 1.83781 + 3.18317i 0.0692649 + 0.119970i
\(705\) 1.04732 1.81401i 0.0394444 0.0683197i
\(706\) 0.969545 + 1.21577i 0.0364893 + 0.0457561i
\(707\) 32.0121 + 2.89325i 1.20394 + 0.108812i
\(708\) 14.2891 17.9179i 0.537016 0.673397i
\(709\) −13.0240 33.1846i −0.489127 1.24628i −0.936102 0.351729i \(-0.885594\pi\)
0.446975 0.894546i \(-0.352501\pi\)
\(710\) −0.148294 1.97885i −0.00556539 0.0742650i
\(711\) 0.236243 + 3.15245i 0.00885982 + 0.118226i
\(712\) −4.89826 12.4806i −0.183570 0.467729i
\(713\) −0.0536086 + 0.0672231i −0.00200766 + 0.00251752i
\(714\) 14.1944 + 8.48802i 0.531214 + 0.317656i
\(715\) −0.957468 1.20063i −0.0358073 0.0449009i
\(716\) 5.77157 9.99665i 0.215694 0.373592i
\(717\) 10.4701 + 18.1347i 0.391013 + 0.677254i
\(718\) −7.12770 + 18.1611i −0.266004 + 0.677766i
\(719\) 40.4093 + 12.4646i 1.50701 + 0.464851i 0.934776 0.355238i \(-0.115600\pi\)
0.572235 + 0.820089i \(0.306076\pi\)
\(720\) 0.0781309 + 0.0376258i 0.00291177 + 0.00140223i
\(721\) 16.2635 + 35.1400i 0.605684 + 1.30868i
\(722\) 5.07252 2.44280i 0.188780 0.0909115i
\(723\) 17.8014 2.68313i 0.662040 0.0997865i
\(724\) 5.21871 + 3.55806i 0.193952 + 0.132234i
\(725\) −2.91114 + 2.70114i −0.108117 + 0.100318i
\(726\) −3.31787 + 2.26208i −0.123138 + 0.0839538i
\(727\) −4.50381 + 19.7325i −0.167037 + 0.731837i 0.820134 + 0.572171i \(0.193899\pi\)
−0.987171 + 0.159666i \(0.948958\pi\)
\(728\) −0.922354 + 5.54143i −0.0341847 + 0.205379i
\(729\) −6.61231 28.9704i −0.244900 1.07298i
\(730\) −0.0773090 0.0717323i −0.00286134 0.00265493i
\(731\) 37.7708 + 5.69303i 1.39700 + 0.210564i
\(732\) −15.2639 + 4.70829i −0.564170 + 0.174024i
\(733\) −2.46473 + 32.8895i −0.0910367 + 1.21480i 0.745355 + 0.666668i \(0.232280\pi\)
−0.836392 + 0.548132i \(0.815339\pi\)
\(734\) 7.40908 0.273474
\(735\) −0.741755 2.07492i −0.0273600 0.0765345i
\(736\) 4.90544 0.180817
\(737\) −1.99624 + 26.6380i −0.0735324 + 0.981222i
\(738\) 0.816025 0.251710i 0.0300383 0.00926559i
\(739\) 15.2344 + 2.29622i 0.560407 + 0.0844678i 0.423137 0.906066i \(-0.360929\pi\)
0.137270 + 0.990534i \(0.456167\pi\)
\(740\) 1.27988 + 1.18756i 0.0470493 + 0.0436554i
\(741\) −3.75120 16.4351i −0.137804 0.603758i
\(742\) −2.61746 + 3.71539i −0.0960900 + 0.136396i
\(743\) 1.57164 6.88579i 0.0576577 0.252615i −0.937882 0.346953i \(-0.887216\pi\)
0.995540 + 0.0943380i \(0.0300734\pi\)
\(744\) −0.0231682 + 0.0157958i −0.000849388 + 0.000579103i
\(745\) 1.91900 1.78057i 0.0703066 0.0652350i
\(746\) 23.1812 + 15.8047i 0.848725 + 0.578651i
\(747\) −2.47436 + 0.372949i −0.0905320 + 0.0136455i
\(748\) 12.9399 6.23155i 0.473131 0.227848i
\(749\) −38.4340 + 8.15432i −1.40435 + 0.297952i
\(750\) −2.82516 1.36053i −0.103160 0.0496794i
\(751\) 4.50332 + 1.38909i 0.164328 + 0.0506886i 0.375828 0.926690i \(-0.377358\pi\)
−0.211499 + 0.977378i \(0.567835\pi\)
\(752\) −2.43103 + 6.19416i −0.0886506 + 0.225878i
\(753\) 10.1426 + 17.5676i 0.369618 + 0.640198i
\(754\) −0.849790 + 1.47188i −0.0309475 + 0.0536027i
\(755\) −1.07567 1.34885i −0.0391477 0.0490896i
\(756\) 13.6365 5.11203i 0.495955 0.185923i
\(757\) −21.9244 + 27.4924i −0.796857 + 0.999227i 0.202942 + 0.979191i \(0.434950\pi\)
−0.999799 + 0.0200362i \(0.993622\pi\)
\(758\) 4.22816 + 10.7732i 0.153574 + 0.391299i
\(759\) 2.15557 + 28.7641i 0.0782424 + 1.04407i
\(760\) −0.0729772 0.973813i −0.00264716 0.0353239i
\(761\) 1.58662 + 4.04264i 0.0575149 + 0.146545i 0.956743 0.290935i \(-0.0939662\pi\)
−0.899228 + 0.437480i \(0.855871\pi\)
\(762\) 17.1789 21.5416i 0.622324 0.780370i
\(763\) −4.67658 7.09050i −0.169304 0.256693i
\(764\) 11.4168 + 14.3162i 0.413045 + 0.517942i
\(765\) 0.169424 0.293452i 0.00612555 0.0106098i
\(766\) −18.0781 31.3123i −0.653190 1.13136i
\(767\) 11.1127 28.3147i 0.401257 1.02239i
\(768\) 1.52870 + 0.471543i 0.0551624 + 0.0170153i
\(769\) −14.8184 7.13615i −0.534364 0.257336i 0.147184 0.989109i \(-0.452979\pi\)
−0.681549 + 0.731773i \(0.738693\pi\)
\(770\) −1.85881 0.454360i −0.0669870 0.0163740i
\(771\) −32.6269 + 15.7123i −1.17503 + 0.565865i
\(772\) −14.4901 + 2.18402i −0.521509 + 0.0786048i
\(773\) −39.9887 27.2638i −1.43829 0.980611i −0.996509 0.0834893i \(-0.973394\pi\)
−0.441783 0.897122i \(-0.645654\pi\)
\(774\) 3.15813 2.93032i 0.113517 0.105328i
\(775\) −0.0718500 + 0.0489865i −0.00258093 + 0.00175965i
\(776\) −3.30028 + 14.4595i −0.118473 + 0.519064i
\(777\) 37.4901 2.23196i 1.34495 0.0800712i
\(778\) −0.866536 3.79654i −0.0310668 0.136113i
\(779\) −7.04942 6.54090i −0.252572 0.234352i
\(780\) −0.660917 0.0996172i −0.0236646 0.00356687i
\(781\) −35.4213 + 10.9260i −1.26747 + 0.390964i
\(782\) 1.43241 19.1141i 0.0512228 0.683520i
\(783\) 4.40598 0.157457
\(784\) 3.31245 + 6.16666i 0.118302 + 0.220238i
\(785\) 4.51758 0.161239
\(786\) −0.514804 + 6.86958i −0.0183625 + 0.245030i
\(787\) −14.1650 + 4.36933i −0.504928 + 0.155750i −0.536746 0.843744i \(-0.680347\pi\)
0.0318175 + 0.999494i \(0.489870\pi\)
\(788\) 11.4732 + 1.72931i 0.408716 + 0.0616039i
\(789\) 14.5235 + 13.4759i 0.517052 + 0.479754i
\(790\) −0.314079 1.37607i −0.0111744 0.0489584i
\(791\) −29.6924 33.0016i −1.05574 1.17340i
\(792\) 0.360458 1.57927i 0.0128083 0.0561169i
\(793\) −17.5168 + 11.9428i −0.622040 + 0.424100i
\(794\) −8.47918 + 7.86753i −0.300915 + 0.279208i
\(795\) −0.446776 0.304607i −0.0158455 0.0108033i
\(796\) 6.72500 1.01363i 0.238361 0.0359272i
\(797\) −37.9876 + 18.2939i −1.34559 + 0.648002i −0.961375 0.275242i \(-0.911242\pi\)
−0.384214 + 0.923244i \(0.625528\pi\)
\(798\) −16.2203 13.3473i −0.574193 0.472488i
\(799\) 23.4258 + 11.2813i 0.828745 + 0.399103i
\(800\) 4.74087 + 1.46236i 0.167615 + 0.0517024i
\(801\) −2.15872 + 5.50032i −0.0762745 + 0.194344i
\(802\) −8.72107 15.1053i −0.307952 0.533388i
\(803\) −0.985001 + 1.70607i −0.0347599 + 0.0602059i
\(804\) 7.24897 + 9.08992i 0.255652 + 0.320577i
\(805\) −1.76552 + 1.84521i −0.0622265 + 0.0650350i
\(806\) −0.0232040 + 0.0290969i −0.000817327 + 0.00102490i
\(807\) −10.4519 26.6309i −0.367923 0.937452i
\(808\) −0.907877 12.1148i −0.0319390 0.426196i
\(809\) 0.774414 + 10.3338i 0.0272270 + 0.363318i 0.994131 + 0.108180i \(0.0345021\pi\)
−0.966904 + 0.255139i \(0.917879\pi\)
\(810\) 0.537985 + 1.37076i 0.0189029 + 0.0481637i
\(811\) 16.2145 20.3323i 0.569367 0.713964i −0.410891 0.911684i \(-0.634782\pi\)
0.980258 + 0.197720i \(0.0633538\pi\)
\(812\) 0.283491 + 2.09873i 0.00994858 + 0.0736511i
\(813\) 5.31003 + 6.65856i 0.186231 + 0.233526i
\(814\) 16.3071 28.2446i 0.571562 0.989974i
\(815\) −0.252617 0.437545i −0.00884877 0.0153265i
\(816\) 2.28376 5.81893i 0.0799477 0.203703i
\(817\) −46.3594 14.3000i −1.62191 0.500293i
\(818\) −15.8118 7.61458i −0.552848 0.266238i
\(819\) 1.95908 1.51375i 0.0684557 0.0528948i
\(820\) −0.343522 + 0.165431i −0.0119963 + 0.00577711i
\(821\) 32.3018 4.86872i 1.12734 0.169919i 0.441215 0.897402i \(-0.354548\pi\)
0.686127 + 0.727482i \(0.259310\pi\)
\(822\) 12.8195 + 8.74018i 0.447131 + 0.304849i
\(823\) −18.2521 + 16.9354i −0.636227 + 0.590333i −0.930904 0.365264i \(-0.880979\pi\)
0.294677 + 0.955597i \(0.404788\pi\)
\(824\) 12.0922 8.24429i 0.421250 0.287204i
\(825\) −6.49163 + 28.4417i −0.226010 + 0.990213i
\(826\) −10.6151 36.3853i −0.369348 1.26601i
\(827\) 10.9598 + 48.0181i 0.381110 + 1.66975i 0.694009 + 0.719966i \(0.255843\pi\)
−0.312899 + 0.949787i \(0.601300\pi\)
\(828\) −1.58477 1.47045i −0.0550747 0.0511018i
\(829\) −49.0703 7.39615i −1.70428 0.256879i −0.776530 0.630080i \(-0.783022\pi\)
−0.927751 + 0.373201i \(0.878260\pi\)
\(830\) 1.06760 0.329311i 0.0370569 0.0114306i
\(831\) 1.29024 17.2170i 0.0447579 0.597253i
\(832\) 2.12328 0.0736114
\(833\) 24.9957 11.1063i 0.866051 0.384812i
\(834\) 27.9126 0.966533
\(835\) 0.192734 2.57185i 0.00666982 0.0890026i
\(836\) −17.4312 + 5.37680i −0.602869 + 0.185961i
\(837\) 0.0954019 + 0.0143795i 0.00329757 + 0.000497029i
\(838\) −12.9111 11.9798i −0.446008 0.413835i
\(839\) −2.28368 10.0055i −0.0788415 0.345427i 0.920087 0.391715i \(-0.128118\pi\)
−0.998928 + 0.0462877i \(0.985261\pi\)
\(840\) −0.727571 + 0.405316i −0.0251036 + 0.0139847i
\(841\) 6.31053 27.6483i 0.217605 0.953388i
\(842\) −14.3417 + 9.77798i −0.494247 + 0.336972i
\(843\) 38.1894 35.4346i 1.31531 1.22043i
\(844\) 14.7606 + 10.0636i 0.508080 + 0.346403i
\(845\) 1.65225 0.249036i 0.0568390 0.00856710i
\(846\) 2.64214 1.27239i 0.0908387 0.0437456i
\(847\) −0.101840 + 6.64036i −0.00349925 + 0.228166i
\(848\) 1.54766 + 0.745314i 0.0531469 + 0.0255942i
\(849\) −36.5786 11.2830i −1.25538 0.387232i
\(850\) 7.08248 18.0459i 0.242927 0.618968i
\(851\) −21.7633 37.6951i −0.746035 1.29217i
\(852\) −8.06678 + 13.9721i −0.276363 + 0.478676i
\(853\) 19.4821 + 24.4298i 0.667056 + 0.836462i 0.994091 0.108551i \(-0.0346209\pi\)
−0.327035 + 0.945012i \(0.606049\pi\)
\(854\) −8.17288 + 25.1215i −0.279670 + 0.859639i
\(855\) −0.268334 + 0.336480i −0.00917682 + 0.0115074i
\(856\) 5.42532 + 13.8235i 0.185434 + 0.472478i
\(857\) 0.357260 + 4.76731i 0.0122038 + 0.162848i 0.999976 + 0.00694348i \(0.00221020\pi\)
−0.987772 + 0.155905i \(0.950171\pi\)
\(858\) 0.933021 + 12.4503i 0.0318528 + 0.425046i
\(859\) −16.4703 41.9656i −0.561959 1.43185i −0.875940 0.482420i \(-0.839758\pi\)
0.313981 0.949429i \(-0.398337\pi\)
\(860\) −1.19930 + 1.50388i −0.0408959 + 0.0512818i
\(861\) −2.53734 + 7.79915i −0.0864722 + 0.265794i
\(862\) −9.78602 12.2713i −0.333313 0.417961i
\(863\) 14.7669 25.5771i 0.502673 0.870655i −0.497322 0.867566i \(-0.665683\pi\)
0.999995 0.00308902i \(-0.000983267\pi\)
\(864\) −2.75219 4.76693i −0.0936313 0.162174i
\(865\) −0.438262 + 1.11667i −0.0149014 + 0.0379681i
\(866\) −18.3379 5.65649i −0.623147 0.192215i
\(867\) 2.49624 + 1.20213i 0.0847768 + 0.0408263i
\(868\) −0.000711132 0.0463687i −2.41374e−5 0.00157386i
\(869\) −23.7547 + 11.4397i −0.805823 + 0.388064i
\(870\) −0.249158 + 0.0375545i −0.00844725 + 0.00127322i
\(871\) 12.7497 + 8.69260i 0.432007 + 0.294537i
\(872\) −2.35337 + 2.18361i −0.0796953 + 0.0739464i
\(873\) 5.40057 3.68205i 0.182782 0.124618i
\(874\) −5.41729 + 23.7347i −0.183242 + 0.802838i
\(875\) −4.53034 + 2.52377i −0.153153 + 0.0853189i
\(876\) 0.190795 + 0.835928i 0.00644637 + 0.0282434i
\(877\) 31.6936 + 29.4074i 1.07022 + 0.993017i 0.999990 0.00451432i \(-0.00143696\pi\)
0.0702276 + 0.997531i \(0.477627\pi\)
\(878\) 5.96913 + 0.899701i 0.201448 + 0.0303635i
\(879\) 8.97639 2.76885i 0.302766 0.0933910i
\(880\) −0.0540485 + 0.721227i −0.00182197 + 0.0243126i
\(881\) 32.9543 1.11026 0.555128 0.831765i \(-0.312669\pi\)
0.555128 + 0.831765i \(0.312669\pi\)
\(882\) 0.778381 2.98517i 0.0262095 0.100516i
\(883\) 29.3434 0.987485 0.493742 0.869608i \(-0.335629\pi\)
0.493742 + 0.869608i \(0.335629\pi\)
\(884\) 0.620005 8.27339i 0.0208530 0.278264i
\(885\) 4.30920 1.32921i 0.144852 0.0446810i
\(886\) −0.619788 0.0934180i −0.0208222 0.00313844i
\(887\) −29.9213 27.7629i −1.00466 0.932189i −0.00696055 0.999976i \(-0.502216\pi\)
−0.997700 + 0.0677872i \(0.978406\pi\)
\(888\) −3.15869 13.8391i −0.105999 0.464410i
\(889\) −12.7619 43.7438i −0.428022 1.46712i
\(890\) 0.587047 2.57202i 0.0196778 0.0862143i
\(891\) 22.7273 15.4952i 0.761393 0.519109i
\(892\) 12.4848 11.5842i 0.418022 0.387868i
\(893\) −27.2854 18.6029i −0.913071 0.622521i
\(894\) −21.0457 + 3.17212i −0.703872 + 0.106092i
\(895\) 2.04641 0.985498i 0.0684039 0.0329416i
\(896\) 2.09358 1.61768i 0.0699417 0.0540431i
\(897\) 15.0125 + 7.22966i 0.501254 + 0.241391i
\(898\) −18.0426 5.56541i −0.602090 0.185720i
\(899\) −0.00512578 + 0.0130603i −0.000170954 + 0.000435585i
\(900\) −1.09325 1.89356i −0.0364416 0.0631186i
\(901\) 3.35605 5.81285i 0.111806 0.193654i
\(902\) 4.44063 + 5.56837i 0.147857 + 0.185407i
\(903\) 5.53866 + 41.0037i 0.184315 + 1.36452i
\(904\) −10.4615 + 13.1183i −0.347945 + 0.436310i
\(905\) 0.454061 + 1.15693i 0.0150935 + 0.0384576i
\(906\) 1.04821 + 13.9873i 0.0348243 + 0.464698i
\(907\) −0.0720073 0.960870i −0.00239096 0.0319052i 0.995881 0.0906731i \(-0.0289018\pi\)
−0.998272 + 0.0587679i \(0.981283\pi\)
\(908\) 0.897445 + 2.28665i 0.0297828 + 0.0758852i
\(909\) −3.33822 + 4.18600i −0.110722 + 0.138841i
\(910\) −0.764192 + 0.798682i −0.0253327 + 0.0264760i
\(911\) 17.8323 + 22.3610i 0.590810 + 0.740852i 0.983914 0.178642i \(-0.0571704\pi\)
−0.393105 + 0.919494i \(0.628599\pi\)
\(912\) −3.96974 + 6.87580i −0.131451 + 0.227680i
\(913\) −10.4348 18.0737i −0.345343 0.598151i
\(914\) −5.06147 + 12.8964i −0.167418 + 0.426575i
\(915\) −3.00348 0.926450i −0.0992919 0.0306275i
\(916\) 6.33400 + 3.05030i 0.209281 + 0.100785i
\(917\) 8.79739 + 7.23914i 0.290515 + 0.239057i
\(918\) −19.3781 + 9.33199i −0.639572 + 0.308001i
\(919\) −26.0800 + 3.93093i −0.860300 + 0.129669i −0.564352 0.825534i \(-0.690874\pi\)
−0.295949 + 0.955204i \(0.595636\pi\)
\(920\) 0.797521 + 0.543741i 0.0262935 + 0.0179266i
\(921\) 19.9581 18.5184i 0.657642 0.610203i
\(922\) −26.7459 + 18.2351i −0.880830 + 0.600540i
\(923\) −4.76484 + 20.8761i −0.156837 + 0.687146i
\(924\) 10.4056 + 11.5653i 0.342320 + 0.380472i
\(925\) −9.79582 42.9183i −0.322085 1.41114i
\(926\) 3.80563 + 3.53111i 0.125061 + 0.116039i
\(927\) −6.37785 0.961307i −0.209476 0.0315735i
\(928\) 0.764889 0.235937i 0.0251087 0.00774501i
\(929\) −1.92954 + 25.7479i −0.0633062 + 0.844763i 0.871679 + 0.490077i \(0.163031\pi\)
−0.934985 + 0.354686i \(0.884588\pi\)
\(930\) −0.00551754 −0.000180927
\(931\) −33.4951 + 9.21701i −1.09776 + 0.302075i
\(932\) −11.7922 −0.386268
\(933\) 2.85333 38.0750i 0.0934137 1.24652i
\(934\) 4.45673 1.37472i 0.145829 0.0449822i
\(935\) 2.79449 + 0.421202i 0.0913897 + 0.0137748i
\(936\) −0.685955 0.636474i −0.0224212 0.0208038i
\(937\) 7.91046 + 34.6580i 0.258423 + 1.13223i 0.922937 + 0.384951i \(0.125782\pi\)
−0.664514 + 0.747276i \(0.731361\pi\)
\(938\) 19.1941 1.14272i 0.626710 0.0373110i
\(939\) 4.39267 19.2455i 0.143349 0.628054i
\(940\) −1.08182 + 0.737574i −0.0352852 + 0.0240570i
\(941\) −7.10291 + 6.59054i −0.231548 + 0.214845i −0.787410 0.616429i \(-0.788579\pi\)
0.555862 + 0.831274i \(0.312388\pi\)
\(942\) −30.3468 20.6901i −0.988751 0.674119i
\(943\) 9.39909 1.41668i 0.306076 0.0461336i
\(944\) −12.9070 + 6.21567i −0.420086 + 0.202303i
\(945\) 2.78365 + 0.680422i 0.0905520 + 0.0221341i
\(946\) 32.3728 + 15.5899i 1.05253 + 0.506872i
\(947\) 12.5127 + 3.85965i 0.406608 + 0.125422i 0.491311 0.870984i \(-0.336518\pi\)
−0.0847030 + 0.996406i \(0.526994\pi\)
\(948\) −4.19245 + 10.6822i −0.136164 + 0.346941i
\(949\) 0.569002 + 0.985540i 0.0184706 + 0.0319920i
\(950\) −12.3111 + 21.3234i −0.399425 + 0.691824i
\(951\) 0.408199 + 0.511866i 0.0132368 + 0.0165984i
\(952\) −5.69200 8.63006i −0.184479 0.279702i
\(953\) 16.7278 20.9760i 0.541868 0.679480i −0.433223 0.901287i \(-0.642624\pi\)
0.975091 + 0.221806i \(0.0711953\pi\)
\(954\) −0.276579 0.704711i −0.00895457 0.0228159i
\(955\) 0.269258 + 3.59300i 0.00871298 + 0.116267i
\(956\) −0.978174 13.0528i −0.0316364 0.422159i
\(957\) 1.71958 + 4.38142i 0.0555861 + 0.141631i
\(958\) −3.77778 + 4.73719i −0.122055 + 0.153052i
\(959\) 24.0271 9.00722i 0.775874 0.290858i
\(960\) 0.196267 + 0.246111i 0.00633449 + 0.00794320i
\(961\) 15.4998 26.8465i 0.499995 0.866017i
\(962\) −9.42004 16.3160i −0.303714 0.526049i
\(963\) 2.39100 6.09218i 0.0770490 0.196318i
\(964\) −10.7532 3.31691i −0.346336 0.106830i
\(965\) −2.59786 1.25107i −0.0836282 0.0402732i
\(966\) 20.3107 4.30922i 0.653487 0.138647i
\(967\) −13.5780 + 6.53884i −0.436640 + 0.210275i −0.639273 0.768980i \(-0.720765\pi\)
0.202633 + 0.979255i \(0.435050\pi\)
\(968\) 2.48208 0.374113i 0.0797771 0.0120245i
\(969\) 25.6325 + 17.4759i 0.823434 + 0.561408i
\(970\) −2.13931 + 1.98499i −0.0686890 + 0.0637341i
\(971\) −10.8037 + 7.36582i −0.346707 + 0.236381i −0.724135 0.689658i \(-0.757761\pi\)
0.377428 + 0.926039i \(0.376808\pi\)
\(972\) −1.01046 + 4.42711i −0.0324105 + 0.142000i
\(973\) 26.5861 37.7380i 0.852310 1.20982i
\(974\) 1.32025 + 5.78441i 0.0423037 + 0.185344i
\(975\) 12.3536 + 11.4625i 0.395633 + 0.367094i
\(976\) 9.87335 + 1.48817i 0.316038 + 0.0476351i
\(977\) 22.5139 6.94462i 0.720284 0.222178i 0.0871220 0.996198i \(-0.472233\pi\)
0.633162 + 0.774020i \(0.281757\pi\)
\(978\) −0.306965 + 4.09616i −0.00981565 + 0.130981i
\(979\) −49.2802 −1.57500
\(980\) −0.145004 + 1.36974i −0.00463200 + 0.0437546i
\(981\) 1.41485 0.0451727
\(982\) 0.531055 7.08643i 0.0169466 0.226137i
\(983\) −40.7798 + 12.5789i −1.30067 + 0.401205i −0.866298 0.499527i \(-0.833507\pi\)
−0.434376 + 0.900732i \(0.643031\pi\)
\(984\) 3.06526 + 0.462013i 0.0977169 + 0.0147285i
\(985\) 1.67361 + 1.55289i 0.0533258 + 0.0494791i
\(986\) −0.695983 3.04930i −0.0221646 0.0971095i
\(987\) −4.62426 + 27.7822i −0.147192 + 0.884317i
\(988\) −2.34483 + 10.2734i −0.0745989 + 0.326839i
\(989\) 39.6209 27.0131i 1.25987 0.858966i
\(990\) 0.233656 0.216801i 0.00742608 0.00689039i
\(991\) −0.882301 0.601543i −0.0280272 0.0191086i 0.549225 0.835674i \(-0.314923\pi\)
−0.577253 + 0.816566i \(0.695875\pi\)
\(992\) 0.0173320 0.00261238i 0.000550292 8.29432e-5i
\(993\) −4.24526 + 2.04441i −0.134719 + 0.0648774i
\(994\) 11.2069 + 24.2144i 0.355462 + 0.768035i
\(995\) 1.20570 + 0.580634i 0.0382232 + 0.0184073i
\(996\) −8.67980 2.67736i −0.275030 0.0848355i
\(997\) 9.00950 22.9558i 0.285334 0.727018i −0.714297 0.699843i \(-0.753253\pi\)
0.999631 0.0271756i \(-0.00865134\pi\)
\(998\) 6.54284 + 11.3325i 0.207110 + 0.358725i
\(999\) −24.4205 + 42.2975i −0.772629 + 1.33823i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (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 98.2.g.a.23.2 24
3.2 odd 2 882.2.z.d.415.2 24
4.3 odd 2 784.2.bg.a.513.1 24
7.2 even 3 686.2.e.f.491.1 24
7.3 odd 6 686.2.g.c.263.2 24
7.4 even 3 686.2.g.a.263.1 24
7.5 odd 6 686.2.e.e.491.4 24
7.6 odd 2 686.2.g.b.275.1 24
49.9 even 21 4802.2.a.i.1.11 12
49.12 odd 42 686.2.e.e.197.4 24
49.17 odd 42 686.2.g.b.459.1 24
49.20 odd 14 686.2.g.c.373.2 24
49.29 even 7 686.2.g.a.373.1 24
49.32 even 21 inner 98.2.g.a.81.2 yes 24
49.37 even 21 686.2.e.f.197.1 24
49.40 odd 42 4802.2.a.k.1.2 12
147.32 odd 42 882.2.z.d.865.2 24
196.179 odd 42 784.2.bg.a.81.1 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
98.2.g.a.23.2 24 1.1 even 1 trivial
98.2.g.a.81.2 yes 24 49.32 even 21 inner
686.2.e.e.197.4 24 49.12 odd 42
686.2.e.e.491.4 24 7.5 odd 6
686.2.e.f.197.1 24 49.37 even 21
686.2.e.f.491.1 24 7.2 even 3
686.2.g.a.263.1 24 7.4 even 3
686.2.g.a.373.1 24 49.29 even 7
686.2.g.b.275.1 24 7.6 odd 2
686.2.g.b.459.1 24 49.17 odd 42
686.2.g.c.263.2 24 7.3 odd 6
686.2.g.c.373.2 24 49.20 odd 14
784.2.bg.a.81.1 24 196.179 odd 42
784.2.bg.a.513.1 24 4.3 odd 2
882.2.z.d.415.2 24 3.2 odd 2
882.2.z.d.865.2 24 147.32 odd 42
4802.2.a.i.1.11 12 49.9 even 21
4802.2.a.k.1.2 12 49.40 odd 42