Properties

Label 882.2.y.b.583.12
Level $882$
Weight $2$
Character 882.583
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
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] = [882,2,Mod(193,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.193");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.y (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: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 583.12
Character \(\chi\) \(=\) 882.583
Dual form 882.2.y.b.823.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.365341 - 0.930874i) q^{2} +(-0.476124 - 1.66532i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(-2.80001 + 1.34841i) q^{5} +(-1.72415 - 0.165200i) q^{6} +(2.46456 + 0.962255i) q^{7} +(-0.900969 + 0.433884i) q^{8} +(-2.54661 + 1.58580i) q^{9} +O(q^{10})\) \(q+(0.365341 - 0.930874i) q^{2} +(-0.476124 - 1.66532i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(-2.80001 + 1.34841i) q^{5} +(-1.72415 - 0.165200i) q^{6} +(2.46456 + 0.962255i) q^{7} +(-0.900969 + 0.433884i) q^{8} +(-2.54661 + 1.58580i) q^{9} +(0.232244 + 3.09908i) q^{10} +(3.59354 + 4.50615i) q^{11} +(-0.783685 + 1.54462i) q^{12} +(0.914161 - 2.32924i) q^{13} +(1.79614 - 1.94264i) q^{14} +(3.57869 + 4.02091i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(1.66812 - 1.54779i) q^{17} +(0.545800 + 2.94993i) q^{18} +(-0.191468 + 0.331632i) q^{19} +(2.96970 + 0.916032i) q^{20} +(0.429029 - 4.56245i) q^{21} +(5.50753 - 1.69885i) q^{22} +(-1.17748 + 5.15888i) q^{23} +(1.15153 + 1.29382i) q^{24} +(2.90437 - 3.64196i) q^{25} +(-1.83425 - 1.70194i) q^{26} +(3.85338 + 3.48590i) q^{27} +(-1.15215 - 2.38171i) q^{28} +(4.46144 + 1.37617i) q^{29} +(5.05040 - 1.86231i) q^{30} +(1.51536 - 2.62469i) q^{31} +(0.955573 + 0.294755i) q^{32} +(5.79324 - 8.12989i) q^{33} +(-0.831362 - 2.11828i) q^{34} +(-8.19830 + 0.628925i) q^{35} +(2.94542 + 0.569660i) q^{36} +(-2.19009 - 0.675555i) q^{37} +(0.238756 + 0.299391i) q^{38} +(-4.31420 - 0.413365i) q^{39} +(1.93766 - 2.42975i) q^{40} +(1.95665 + 1.33402i) q^{41} +(-4.09032 - 2.06622i) q^{42} +(7.12180 - 4.85556i) q^{43} +(0.430713 - 5.74747i) q^{44} +(4.99221 - 7.87414i) q^{45} +(4.37208 + 2.98083i) q^{46} +(-1.50086 + 3.82412i) q^{47} +(1.62509 - 0.599243i) q^{48} +(5.14813 + 4.74307i) q^{49} +(-2.32912 - 4.03416i) q^{50} +(-3.37180 - 2.04102i) q^{51} +(-2.25442 + 1.08567i) q^{52} +(-5.28134 + 1.62908i) q^{53} +(4.65273 - 2.31347i) q^{54} +(-16.1381 - 7.77169i) q^{55} +(-2.63800 + 0.202372i) q^{56} +(0.643437 + 0.160958i) q^{57} +(2.91099 - 3.65027i) q^{58} +(11.1350 - 7.59172i) q^{59} +(0.111543 - 5.38166i) q^{60} +(3.07148 - 2.84992i) q^{61} +(-1.88963 - 2.36952i) q^{62} +(-7.80223 + 1.45782i) q^{63} +(0.623490 - 0.781831i) q^{64} +(0.581124 + 7.75456i) q^{65} +(-5.45140 - 8.36296i) q^{66} +(-5.13326 + 8.89106i) q^{67} -2.27558 q^{68} +(9.15183 - 0.495379i) q^{69} +(-2.40973 + 7.86136i) q^{70} +(-0.691751 + 3.03076i) q^{71} +(1.60636 - 2.53369i) q^{72} +(-2.49580 - 0.376181i) q^{73} +(-1.42899 + 1.79189i) q^{74} +(-7.44789 - 3.10269i) q^{75} +(0.365923 - 0.112872i) q^{76} +(4.52043 + 14.5636i) q^{77} +(-1.96095 + 3.86496i) q^{78} +(-1.20967 - 2.09521i) q^{79} +(-1.55389 - 2.69141i) q^{80} +(3.97046 - 8.07685i) q^{81} +(1.95665 - 1.33402i) q^{82} +(2.42424 + 6.17686i) q^{83} +(-3.41775 + 3.05270i) q^{84} +(-2.58368 + 6.58312i) q^{85} +(-1.91803 - 8.40343i) q^{86} +(0.167574 - 8.08497i) q^{87} +(-5.19281 - 2.50073i) q^{88} +(3.91149 + 9.96631i) q^{89} +(-5.50597 - 7.52386i) q^{90} +(4.49433 - 4.86091i) q^{91} +(4.37208 - 2.98083i) q^{92} +(-5.09246 - 1.27390i) q^{93} +(3.01145 + 2.79422i) q^{94} +(0.0889345 - 1.18675i) q^{95} +(0.0358917 - 1.73168i) q^{96} +(-5.65141 + 9.78852i) q^{97} +(6.29603 - 3.05942i) q^{98} +(-16.2972 - 5.77678i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{2} + 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} + 3 q^{7} - 56 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 28 q^{2} + 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} + 3 q^{7} - 56 q^{8} - 3 q^{9} + 2 q^{10} - q^{12} + 21 q^{13} - 3 q^{14} - 7 q^{15} + 28 q^{16} + 7 q^{17} - 3 q^{18} - 34 q^{19} + 2 q^{20} + q^{21} + 9 q^{23} - q^{24} - 64 q^{25} + 7 q^{26} - 14 q^{27} + 5 q^{29} + 5 q^{30} - 46 q^{31} + 28 q^{32} + 23 q^{33} + 7 q^{34} + 16 q^{35} - 15 q^{36} - 26 q^{37} - 2 q^{38} + 53 q^{39} - 4 q^{40} + 3 q^{41} + 21 q^{42} - 3 q^{43} - 23 q^{45} - 36 q^{46} - 45 q^{47} + 2 q^{48} + 55 q^{49} - 164 q^{50} - 16 q^{51} - 21 q^{52} - 78 q^{53} - 13 q^{54} - 53 q^{55} + 3 q^{56} - 18 q^{57} - 17 q^{58} + 8 q^{59} + 2 q^{60} + 96 q^{61} - 20 q^{62} - 20 q^{63} - 56 q^{64} + 7 q^{65} - 37 q^{66} - 43 q^{67} + 42 q^{68} - 85 q^{69} + 34 q^{70} + 7 q^{71} - 3 q^{72} + 36 q^{73} - 4 q^{74} - 5 q^{75} + 8 q^{76} + 32 q^{77} - 12 q^{78} + q^{79} - 12 q^{80} - 19 q^{81} + 3 q^{82} - 103 q^{83} + 34 q^{84} - 93 q^{85} + 6 q^{86} + 15 q^{87} + 59 q^{89} - 41 q^{90} - 29 q^{91} - 36 q^{92} + 203 q^{93} - 3 q^{94} - 13 q^{95} - q^{96} - 113 q^{97} - 18 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.365341 0.930874i 0.258335 0.658227i
\(3\) −0.476124 1.66532i −0.274890 0.961476i
\(4\) −0.733052 0.680173i −0.366526 0.340086i
\(5\) −2.80001 + 1.34841i −1.25220 + 0.603028i −0.938101 0.346362i \(-0.887417\pi\)
−0.314099 + 0.949390i \(0.601703\pi\)
\(6\) −1.72415 0.165200i −0.703883 0.0674426i
\(7\) 2.46456 + 0.962255i 0.931517 + 0.363698i
\(8\) −0.900969 + 0.433884i −0.318541 + 0.153401i
\(9\) −2.54661 + 1.58580i −0.848871 + 0.528601i
\(10\) 0.232244 + 3.09908i 0.0734420 + 0.980016i
\(11\) 3.59354 + 4.50615i 1.08349 + 1.35866i 0.928752 + 0.370701i \(0.120883\pi\)
0.154740 + 0.987955i \(0.450546\pi\)
\(12\) −0.783685 + 1.54462i −0.226230 + 0.445892i
\(13\) 0.914161 2.32924i 0.253543 0.646016i −0.746265 0.665649i \(-0.768155\pi\)
0.999807 + 0.0196333i \(0.00624989\pi\)
\(14\) 1.79614 1.94264i 0.480040 0.519194i
\(15\) 3.57869 + 4.02091i 0.924014 + 1.03819i
\(16\) 0.0747301 + 0.997204i 0.0186825 + 0.249301i
\(17\) 1.66812 1.54779i 0.404578 0.375393i −0.451473 0.892285i \(-0.649101\pi\)
0.856051 + 0.516891i \(0.172911\pi\)
\(18\) 0.545800 + 2.94993i 0.128646 + 0.695306i
\(19\) −0.191468 + 0.331632i −0.0439257 + 0.0760816i −0.887152 0.461477i \(-0.847320\pi\)
0.843227 + 0.537558i \(0.180653\pi\)
\(20\) 2.96970 + 0.916032i 0.664045 + 0.204831i
\(21\) 0.429029 4.56245i 0.0936218 0.995608i
\(22\) 5.50753 1.69885i 1.17421 0.362195i
\(23\) −1.17748 + 5.15888i −0.245521 + 1.07570i 0.690382 + 0.723445i \(0.257442\pi\)
−0.935904 + 0.352255i \(0.885415\pi\)
\(24\) 1.15153 + 1.29382i 0.235055 + 0.264101i
\(25\) 2.90437 3.64196i 0.580873 0.728392i
\(26\) −1.83425 1.70194i −0.359726 0.333777i
\(27\) 3.85338 + 3.48590i 0.741583 + 0.670861i
\(28\) −1.15215 2.38171i −0.217736 0.450101i
\(29\) 4.46144 + 1.37617i 0.828469 + 0.255549i 0.679855 0.733347i \(-0.262043\pi\)
0.148614 + 0.988895i \(0.452519\pi\)
\(30\) 5.05040 1.86231i 0.922073 0.340010i
\(31\) 1.51536 2.62469i 0.272167 0.471408i −0.697249 0.716829i \(-0.745593\pi\)
0.969417 + 0.245421i \(0.0789262\pi\)
\(32\) 0.955573 + 0.294755i 0.168923 + 0.0521058i
\(33\) 5.79324 8.12989i 1.00847 1.41523i
\(34\) −0.831362 2.11828i −0.142577 0.363281i
\(35\) −8.19830 + 0.628925i −1.38577 + 0.106308i
\(36\) 2.94542 + 0.569660i 0.490903 + 0.0949434i
\(37\) −2.19009 0.675555i −0.360049 0.111061i 0.109452 0.993992i \(-0.465090\pi\)
−0.469502 + 0.882932i \(0.655566\pi\)
\(38\) 0.238756 + 0.299391i 0.0387314 + 0.0485676i
\(39\) −4.31420 0.413365i −0.690825 0.0661914i
\(40\) 1.93766 2.42975i 0.306372 0.384178i
\(41\) 1.95665 + 1.33402i 0.305577 + 0.208339i 0.706393 0.707819i \(-0.250321\pi\)
−0.400816 + 0.916159i \(0.631273\pi\)
\(42\) −4.09032 2.06622i −0.631150 0.318825i
\(43\) 7.12180 4.85556i 1.08606 0.740466i 0.118465 0.992958i \(-0.462203\pi\)
0.967599 + 0.252492i \(0.0812503\pi\)
\(44\) 0.430713 5.74747i 0.0649325 0.866464i
\(45\) 4.99221 7.87414i 0.744195 1.17381i
\(46\) 4.37208 + 2.98083i 0.644628 + 0.439500i
\(47\) −1.50086 + 3.82412i −0.218922 + 0.557805i −0.997571 0.0696549i \(-0.977810\pi\)
0.778649 + 0.627460i \(0.215905\pi\)
\(48\) 1.62509 0.599243i 0.234561 0.0864932i
\(49\) 5.14813 + 4.74307i 0.735447 + 0.677582i
\(50\) −2.32912 4.03416i −0.329387 0.570516i
\(51\) −3.37180 2.04102i −0.472146 0.285800i
\(52\) −2.25442 + 1.08567i −0.312631 + 0.150555i
\(53\) −5.28134 + 1.62908i −0.725448 + 0.223771i −0.635418 0.772168i \(-0.719172\pi\)
−0.0900296 + 0.995939i \(0.528696\pi\)
\(54\) 4.65273 2.31347i 0.633156 0.314823i
\(55\) −16.1381 7.77169i −2.17606 1.04793i
\(56\) −2.63800 + 0.202372i −0.352518 + 0.0270431i
\(57\) 0.643437 + 0.160958i 0.0852253 + 0.0213194i
\(58\) 2.91099 3.65027i 0.382232 0.479303i
\(59\) 11.1350 7.59172i 1.44965 0.988358i 0.454427 0.890784i \(-0.349844\pi\)
0.995228 0.0975738i \(-0.0311082\pi\)
\(60\) 0.111543 5.38166i 0.0144002 0.694770i
\(61\) 3.07148 2.84992i 0.393263 0.364895i −0.458615 0.888635i \(-0.651654\pi\)
0.851878 + 0.523740i \(0.175464\pi\)
\(62\) −1.88963 2.36952i −0.239983 0.300929i
\(63\) −7.80223 + 1.45782i −0.982988 + 0.183668i
\(64\) 0.623490 0.781831i 0.0779362 0.0977289i
\(65\) 0.581124 + 7.75456i 0.0720796 + 0.961835i
\(66\) −5.45140 8.36296i −0.671021 1.02941i
\(67\) −5.13326 + 8.89106i −0.627127 + 1.08622i 0.360998 + 0.932567i \(0.382436\pi\)
−0.988125 + 0.153650i \(0.950897\pi\)
\(68\) −2.27558 −0.275954
\(69\) 9.15183 0.495379i 1.10175 0.0596367i
\(70\) −2.40973 + 7.86136i −0.288017 + 0.939612i
\(71\) −0.691751 + 3.03076i −0.0820958 + 0.359685i −0.999245 0.0388597i \(-0.987627\pi\)
0.917149 + 0.398545i \(0.130485\pi\)
\(72\) 1.60636 2.53369i 0.189312 0.298598i
\(73\) −2.49580 0.376181i −0.292111 0.0440287i 0.00135189 0.999999i \(-0.499570\pi\)
−0.293463 + 0.955970i \(0.594808\pi\)
\(74\) −1.42899 + 1.79189i −0.166116 + 0.208303i
\(75\) −7.44789 3.10269i −0.860008 0.358267i
\(76\) 0.365923 0.112872i 0.0419742 0.0129473i
\(77\) 4.52043 + 14.5636i 0.515151 + 1.65968i
\(78\) −1.96095 + 3.86496i −0.222033 + 0.437620i
\(79\) −1.20967 2.09521i −0.136098 0.235729i 0.789918 0.613212i \(-0.210123\pi\)
−0.926017 + 0.377483i \(0.876790\pi\)
\(80\) −1.55389 2.69141i −0.173730 0.300909i
\(81\) 3.97046 8.07685i 0.441162 0.897427i
\(82\) 1.95665 1.33402i 0.216076 0.147318i
\(83\) 2.42424 + 6.17686i 0.266095 + 0.677998i 0.999999 0.00125447i \(-0.000399312\pi\)
−0.733905 + 0.679253i \(0.762304\pi\)
\(84\) −3.41775 + 3.05270i −0.372907 + 0.333077i
\(85\) −2.58368 + 6.58312i −0.280240 + 0.714039i
\(86\) −1.91803 8.40343i −0.206826 0.906165i
\(87\) 0.167574 8.08497i 0.0179658 0.866800i
\(88\) −5.19281 2.50073i −0.553556 0.266578i
\(89\) 3.91149 + 9.96631i 0.414617 + 1.05643i 0.973805 + 0.227386i \(0.0730178\pi\)
−0.559188 + 0.829041i \(0.688887\pi\)
\(90\) −5.50597 7.52386i −0.580380 0.793085i
\(91\) 4.49433 4.86091i 0.471134 0.509562i
\(92\) 4.37208 2.98083i 0.455821 0.310773i
\(93\) −5.09246 1.27390i −0.528063 0.132097i
\(94\) 3.01145 + 2.79422i 0.310607 + 0.288201i
\(95\) 0.0889345 1.18675i 0.00912449 0.121758i
\(96\) 0.0358917 1.73168i 0.00366318 0.176739i
\(97\) −5.65141 + 9.78852i −0.573813 + 0.993874i 0.422356 + 0.906430i \(0.361203\pi\)
−0.996169 + 0.0874441i \(0.972130\pi\)
\(98\) 6.29603 3.05942i 0.635995 0.309048i
\(99\) −16.2972 5.77678i −1.63793 0.580588i
\(100\) −4.60621 + 0.694275i −0.460621 + 0.0694275i
\(101\) 17.0427 8.20734i 1.69581 0.816661i 0.701206 0.712958i \(-0.252645\pi\)
0.994608 0.103703i \(-0.0330692\pi\)
\(102\) −3.13179 + 2.39305i −0.310093 + 0.236947i
\(103\) 7.28979 3.51058i 0.718284 0.345908i −0.0387800 0.999248i \(-0.512347\pi\)
0.757064 + 0.653340i \(0.226633\pi\)
\(104\) 0.186991 + 2.49522i 0.0183359 + 0.244676i
\(105\) 4.95077 + 13.3534i 0.483146 + 1.30316i
\(106\) −0.413025 + 5.51143i −0.0401165 + 0.535317i
\(107\) 5.29526 + 13.4921i 0.511912 + 1.30433i 0.920189 + 0.391473i \(0.128034\pi\)
−0.408277 + 0.912858i \(0.633870\pi\)
\(108\) −0.453715 5.17631i −0.0436588 0.498090i
\(109\) 0.296098 0.754446i 0.0283611 0.0722629i −0.915992 0.401197i \(-0.868594\pi\)
0.944353 + 0.328934i \(0.106689\pi\)
\(110\) −13.1304 + 12.1832i −1.25193 + 1.16162i
\(111\) −0.0822609 + 3.96887i −0.00780786 + 0.376708i
\(112\) −0.775387 + 2.52958i −0.0732672 + 0.239023i
\(113\) −19.4053 2.92488i −1.82550 0.275150i −0.855419 0.517937i \(-0.826700\pi\)
−0.970079 + 0.242788i \(0.921938\pi\)
\(114\) 0.384906 0.540154i 0.0360497 0.0505901i
\(115\) −3.65934 16.0326i −0.341235 1.49505i
\(116\) −2.33443 4.04336i −0.216747 0.375416i
\(117\) 1.36571 + 7.38136i 0.126260 + 0.682407i
\(118\) −2.99886 13.1389i −0.276067 1.20953i
\(119\) 5.60054 2.20946i 0.513401 0.202541i
\(120\) −4.96890 2.06997i −0.453596 0.188962i
\(121\) −4.94418 + 21.6619i −0.449471 + 1.96926i
\(122\) −1.53078 3.90036i −0.138590 0.353122i
\(123\) 1.28997 3.89362i 0.116313 0.351076i
\(124\) −2.89608 + 0.893322i −0.260076 + 0.0802227i
\(125\) 0.236341 1.03548i 0.0211389 0.0926158i
\(126\) −1.49343 + 7.79549i −0.133045 + 0.694477i
\(127\) 3.02835 + 13.2680i 0.268722 + 1.17735i 0.911501 + 0.411297i \(0.134924\pi\)
−0.642779 + 0.766052i \(0.722219\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −11.4769 9.54825i −1.01049 0.840677i
\(130\) 7.43082 + 2.29211i 0.651726 + 0.201031i
\(131\) −13.2919 6.40103i −1.16132 0.559261i −0.248902 0.968529i \(-0.580070\pi\)
−0.912414 + 0.409268i \(0.865784\pi\)
\(132\) −9.77648 + 2.01923i −0.850933 + 0.175752i
\(133\) −0.790999 + 0.633087i −0.0685883 + 0.0548956i
\(134\) 6.40107 + 8.02669i 0.552968 + 0.693400i
\(135\) −15.4899 4.56459i −1.33316 0.392857i
\(136\) −0.831362 + 2.11828i −0.0712887 + 0.181641i
\(137\) 17.0292 + 8.20084i 1.45490 + 0.700645i 0.983439 0.181240i \(-0.0580112\pi\)
0.471465 + 0.881885i \(0.343725\pi\)
\(138\) 2.88240 8.70018i 0.245366 0.740608i
\(139\) 4.35699 + 2.97054i 0.369555 + 0.251958i 0.733830 0.679333i \(-0.237731\pi\)
−0.364275 + 0.931291i \(0.618683\pi\)
\(140\) 6.43756 + 5.11523i 0.544073 + 0.432316i
\(141\) 7.08299 + 0.678657i 0.596496 + 0.0571532i
\(142\) 2.56853 + 1.75119i 0.215546 + 0.146957i
\(143\) 13.7810 4.25088i 1.15243 0.355476i
\(144\) −1.77168 2.42098i −0.147640 0.201749i
\(145\) −14.3477 + 2.16257i −1.19151 + 0.179591i
\(146\) −1.26199 + 2.18584i −0.104443 + 0.180901i
\(147\) 5.44761 10.8316i 0.449311 0.893375i
\(148\) 1.14596 + 1.98486i 0.0941972 + 0.163154i
\(149\) −4.81354 6.03599i −0.394341 0.494488i 0.544538 0.838736i \(-0.316705\pi\)
−0.938879 + 0.344249i \(0.888134\pi\)
\(150\) −5.60923 + 5.79950i −0.457992 + 0.473527i
\(151\) 4.39024 19.2349i 0.357273 1.56532i −0.402682 0.915340i \(-0.631922\pi\)
0.759955 0.649975i \(-0.225221\pi\)
\(152\) 0.0286168 0.381865i 0.00232113 0.0309733i
\(153\) −1.79356 + 6.58691i −0.145001 + 0.532520i
\(154\) 15.2084 + 1.11273i 1.22552 + 0.0896664i
\(155\) −0.703868 + 9.39247i −0.0565361 + 0.754421i
\(156\) 2.88137 + 3.23742i 0.230695 + 0.259201i
\(157\) 3.76412 2.56634i 0.300410 0.204816i −0.403728 0.914879i \(-0.632286\pi\)
0.704138 + 0.710063i \(0.251334\pi\)
\(158\) −2.39232 + 0.360584i −0.190322 + 0.0286865i
\(159\) 5.22752 + 8.01950i 0.414569 + 0.635988i
\(160\) −3.07306 + 0.463189i −0.242947 + 0.0366183i
\(161\) −7.86612 + 11.5813i −0.619937 + 0.912737i
\(162\) −6.06795 6.64680i −0.476743 0.522222i
\(163\) 20.0480 13.6685i 1.57028 1.07060i 0.609688 0.792641i \(-0.291295\pi\)
0.960593 0.277958i \(-0.0896578\pi\)
\(164\) −0.526961 2.30877i −0.0411487 0.180284i
\(165\) −5.25865 + 30.5754i −0.409386 + 2.38029i
\(166\) 6.63555 0.515018
\(167\) −15.6718 + 14.5413i −1.21272 + 1.12524i −0.224136 + 0.974558i \(0.571956\pi\)
−0.988583 + 0.150680i \(0.951854\pi\)
\(168\) 1.59303 + 4.29677i 0.122905 + 0.331503i
\(169\) 4.93999 + 4.58364i 0.379999 + 0.352588i
\(170\) 5.18413 + 4.81017i 0.397604 + 0.368923i
\(171\) −0.0383087 1.14817i −0.00292954 0.0878026i
\(172\) −8.52327 1.28468i −0.649893 0.0979556i
\(173\) −14.2708 + 4.40196i −1.08499 + 0.334675i −0.785144 0.619313i \(-0.787411\pi\)
−0.299845 + 0.953988i \(0.596935\pi\)
\(174\) −7.46487 3.10976i −0.565910 0.235750i
\(175\) 10.6625 6.18110i 0.806008 0.467247i
\(176\) −4.22501 + 3.92023i −0.318472 + 0.295499i
\(177\) −17.9443 14.9288i −1.34878 1.12212i
\(178\) 10.7064 0.802479
\(179\) −3.68629 + 3.42037i −0.275526 + 0.255651i −0.805817 0.592165i \(-0.798273\pi\)
0.530291 + 0.847816i \(0.322083\pi\)
\(180\) −9.01532 + 2.37658i −0.671962 + 0.177140i
\(181\) 0.600708 0.753264i 0.0446503 0.0559897i −0.759005 0.651085i \(-0.774314\pi\)
0.803655 + 0.595095i \(0.202886\pi\)
\(182\) −2.88293 5.95955i −0.213697 0.441751i
\(183\) −6.20845 3.75810i −0.458942 0.277807i
\(184\) −1.17748 5.15888i −0.0868049 0.380317i
\(185\) 7.04320 1.06159i 0.517826 0.0780498i
\(186\) −3.04632 + 4.27503i −0.223367 + 0.313460i
\(187\) 12.9690 + 1.95476i 0.948387 + 0.142946i
\(188\) 3.70127 1.78244i 0.269943 0.129998i
\(189\) 6.14257 + 12.2991i 0.446806 + 0.894631i
\(190\) −1.07222 0.516355i −0.0777871 0.0374603i
\(191\) 6.08294 + 4.14728i 0.440146 + 0.300086i 0.763043 0.646348i \(-0.223704\pi\)
−0.322897 + 0.946434i \(0.604657\pi\)
\(192\) −1.59886 0.666064i −0.115388 0.0480690i
\(193\) −0.931074 + 12.4243i −0.0670202 + 0.894322i 0.857816 + 0.513957i \(0.171821\pi\)
−0.924836 + 0.380366i \(0.875798\pi\)
\(194\) 7.04719 + 8.83690i 0.505959 + 0.634452i
\(195\) 12.6372 4.65989i 0.904967 0.333702i
\(196\) −0.547738 6.97854i −0.0391241 0.498467i
\(197\) 22.5892 1.60941 0.804706 0.593673i \(-0.202323\pi\)
0.804706 + 0.593673i \(0.202323\pi\)
\(198\) −11.3315 + 13.0602i −0.805294 + 0.928145i
\(199\) 8.37434 + 5.70953i 0.593642 + 0.404738i 0.822536 0.568713i \(-0.192559\pi\)
−0.228894 + 0.973451i \(0.573511\pi\)
\(200\) −1.03656 + 4.54145i −0.0732956 + 0.321129i
\(201\) 17.2506 + 4.31529i 1.21676 + 0.304377i
\(202\) −1.41359 18.8631i −0.0994602 1.32720i
\(203\) 9.67127 + 7.68470i 0.678790 + 0.539360i
\(204\) 1.08346 + 3.78958i 0.0758572 + 0.265323i
\(205\) −7.27744 1.09690i −0.508278 0.0766106i
\(206\) −0.604645 8.06843i −0.0421276 0.562154i
\(207\) −5.18237 15.0049i −0.360200 1.04291i
\(208\) 2.39105 + 0.737540i 0.165789 + 0.0511392i
\(209\) −2.18243 + 0.328949i −0.150962 + 0.0227538i
\(210\) 14.2390 + 0.269995i 0.982587 + 0.0186314i
\(211\) 7.72472 + 1.16431i 0.531791 + 0.0801547i 0.409448 0.912333i \(-0.365721\pi\)
0.122343 + 0.992488i \(0.460959\pi\)
\(212\) 4.97955 + 2.39803i 0.341997 + 0.164697i
\(213\) 5.37656 0.291028i 0.368396 0.0199409i
\(214\) 14.4940 0.990791
\(215\) −13.3938 + 23.1987i −0.913448 + 1.58214i
\(216\) −4.98425 1.46877i −0.339135 0.0999368i
\(217\) 6.26032 5.01054i 0.424979 0.340137i
\(218\) −0.594117 0.551260i −0.0402387 0.0373361i
\(219\) 0.561846 + 4.33542i 0.0379661 + 0.292961i
\(220\) 6.54395 + 16.6737i 0.441193 + 1.12414i
\(221\) −2.08024 5.30038i −0.139932 0.356542i
\(222\) 3.66446 + 1.52656i 0.245942 + 0.102456i
\(223\) −21.1168 19.5936i −1.41409 1.31208i −0.886614 0.462510i \(-0.846949\pi\)
−0.527474 0.849571i \(-0.676861\pi\)
\(224\) 2.07144 + 1.64595i 0.138404 + 0.109974i
\(225\) −1.62086 + 13.8804i −0.108058 + 0.925361i
\(226\) −9.81225 + 16.9953i −0.652701 + 1.13051i
\(227\) −10.3283 −0.685514 −0.342757 0.939424i \(-0.611361\pi\)
−0.342757 + 0.939424i \(0.611361\pi\)
\(228\) −0.362194 0.555639i −0.0239869 0.0367981i
\(229\) −19.1275 9.21133i −1.26398 0.608702i −0.322757 0.946482i \(-0.604610\pi\)
−0.941225 + 0.337780i \(0.890324\pi\)
\(230\) −16.2612 2.45099i −1.07223 0.161613i
\(231\) 22.1008 14.4621i 1.45413 0.951533i
\(232\) −4.61672 + 0.695858i −0.303102 + 0.0456853i
\(233\) −27.5936 8.51149i −1.80771 0.557606i −0.808204 0.588902i \(-0.799560\pi\)
−0.999510 + 0.0312963i \(0.990036\pi\)
\(234\) 7.37006 + 1.42541i 0.481796 + 0.0931820i
\(235\) −0.954081 12.7313i −0.0622374 0.830500i
\(236\) −13.3262 2.00860i −0.867463 0.130749i
\(237\) −2.91325 + 3.01207i −0.189236 + 0.195655i
\(238\) −0.0106219 6.02060i −0.000688516 0.390258i
\(239\) −1.74112 23.2336i −0.112624 1.50286i −0.711881 0.702300i \(-0.752156\pi\)
0.599257 0.800557i \(-0.295463\pi\)
\(240\) −3.74223 + 3.86917i −0.241560 + 0.249754i
\(241\) −0.628107 + 2.75192i −0.0404599 + 0.177267i −0.991121 0.132966i \(-0.957550\pi\)
0.950661 + 0.310233i \(0.100407\pi\)
\(242\) 18.3581 + 12.5164i 1.18011 + 0.804583i
\(243\) −15.3410 2.76652i −0.984126 0.177473i
\(244\) −4.18999 −0.268237
\(245\) −20.8104 6.33883i −1.32953 0.404973i
\(246\) −3.15319 2.62330i −0.201040 0.167255i
\(247\) 0.597419 + 0.749140i 0.0380129 + 0.0476666i
\(248\) −0.226487 + 3.02225i −0.0143819 + 0.191913i
\(249\) 9.13223 6.97809i 0.578732 0.442219i
\(250\) −0.877552 0.598305i −0.0555013 0.0378401i
\(251\) −25.1982 12.1348i −1.59050 0.765943i −0.591317 0.806439i \(-0.701392\pi\)
−0.999180 + 0.0404959i \(0.987106\pi\)
\(252\) 6.71101 + 4.23821i 0.422754 + 0.266982i
\(253\) −27.4780 + 13.2327i −1.72753 + 0.831933i
\(254\) 13.4573 + 2.02835i 0.844383 + 0.127270i
\(255\) 12.1932 + 1.16829i 0.763567 + 0.0731611i
\(256\) −0.988831 + 0.149042i −0.0618019 + 0.00931514i
\(257\) −0.659360 2.88885i −0.0411298 0.180201i 0.950191 0.311669i \(-0.100888\pi\)
−0.991320 + 0.131468i \(0.958031\pi\)
\(258\) −13.0812 + 7.19521i −0.814401 + 0.447954i
\(259\) −4.74757 3.77238i −0.295000 0.234404i
\(260\) 4.84845 6.07976i 0.300688 0.377051i
\(261\) −13.5439 + 3.57039i −0.838346 + 0.221001i
\(262\) −10.8146 + 10.0345i −0.668129 + 0.619933i
\(263\) −13.2297 −0.815781 −0.407890 0.913031i \(-0.633735\pi\)
−0.407890 + 0.913031i \(0.633735\pi\)
\(264\) −1.69210 + 9.83837i −0.104141 + 0.605510i
\(265\) 12.5911 11.6828i 0.773466 0.717672i
\(266\) 0.300339 + 0.967612i 0.0184150 + 0.0593281i
\(267\) 14.7348 11.2591i 0.901754 0.689046i
\(268\) 9.81040 3.02611i 0.599266 0.184849i
\(269\) −23.9314 3.60708i −1.45912 0.219928i −0.628956 0.777441i \(-0.716517\pi\)
−0.830168 + 0.557513i \(0.811755\pi\)
\(270\) −9.90815 + 12.7515i −0.602991 + 0.776032i
\(271\) 1.37758 + 1.27820i 0.0836819 + 0.0776454i 0.720905 0.693034i \(-0.243726\pi\)
−0.637223 + 0.770680i \(0.719917\pi\)
\(272\) 1.66812 + 1.54779i 0.101144 + 0.0938483i
\(273\) −10.2349 5.17013i −0.619441 0.312910i
\(274\) 13.8554 12.8559i 0.837036 0.776656i
\(275\) 26.8482 1.61901
\(276\) −7.04571 5.86169i −0.424102 0.352832i
\(277\) −1.87466 8.21343i −0.112638 0.493497i −0.999505 0.0314727i \(-0.989980\pi\)
0.886867 0.462025i \(-0.152877\pi\)
\(278\) 4.35699 2.97054i 0.261315 0.178161i
\(279\) 0.303192 + 9.08712i 0.0181516 + 0.544032i
\(280\) 7.11353 4.12375i 0.425115 0.246441i
\(281\) −3.28174 + 0.494643i −0.195772 + 0.0295079i −0.246196 0.969220i \(-0.579181\pi\)
0.0504241 + 0.998728i \(0.483943\pi\)
\(282\) 3.21945 6.34543i 0.191716 0.377865i
\(283\) −0.796689 + 0.120082i −0.0473582 + 0.00713811i −0.172679 0.984978i \(-0.555242\pi\)
0.125320 + 0.992116i \(0.460004\pi\)
\(284\) 2.56853 1.75119i 0.152414 0.103914i
\(285\) −2.01867 + 0.416935i −0.119575 + 0.0246971i
\(286\) 1.07774 14.3814i 0.0637279 0.850390i
\(287\) 3.53862 + 5.17057i 0.208878 + 0.305209i
\(288\) −2.90090 + 0.764723i −0.170937 + 0.0450617i
\(289\) −0.883440 + 11.7887i −0.0519671 + 0.693452i
\(290\) −3.22873 + 14.1460i −0.189597 + 0.830680i
\(291\) 18.9918 + 4.75087i 1.11332 + 0.278501i
\(292\) 1.57368 + 1.97333i 0.0920928 + 0.115481i
\(293\) −0.602425 1.04343i −0.0351940 0.0609579i 0.847892 0.530169i \(-0.177872\pi\)
−0.883086 + 0.469211i \(0.844538\pi\)
\(294\) −8.09262 9.02826i −0.471971 0.526539i
\(295\) −20.9413 + 36.2714i −1.21925 + 2.11180i
\(296\) 2.26632 0.341593i 0.131727 0.0198547i
\(297\) −1.86072 + 29.8906i −0.107970 + 1.73443i
\(298\) −7.37733 + 2.27561i −0.427357 + 0.131822i
\(299\) 10.9399 + 7.45868i 0.632669 + 0.431347i
\(300\) 3.34932 + 7.34028i 0.193373 + 0.423791i
\(301\) 22.2244 5.11384i 1.28099 0.294757i
\(302\) −16.3013 11.1141i −0.938037 0.639543i
\(303\) −21.7823 24.4740i −1.25136 1.40599i
\(304\) −0.345013 0.166150i −0.0197879 0.00952933i
\(305\) −4.75730 + 12.1214i −0.272402 + 0.694070i
\(306\) 5.47632 + 4.07605i 0.313061 + 0.233012i
\(307\) −8.58484 10.7650i −0.489963 0.614394i 0.473970 0.880541i \(-0.342821\pi\)
−0.963932 + 0.266147i \(0.914249\pi\)
\(308\) 6.59205 13.7505i 0.375617 0.783510i
\(309\) −9.31710 10.4684i −0.530031 0.595526i
\(310\) 8.48605 + 4.08667i 0.481975 + 0.232107i
\(311\) −18.4194 5.68163i −1.04447 0.322175i −0.275391 0.961332i \(-0.588807\pi\)
−0.769076 + 0.639157i \(0.779283\pi\)
\(312\) 4.06631 1.49943i 0.230210 0.0848886i
\(313\) 0.101125 + 0.175154i 0.00571595 + 0.00990031i 0.868869 0.495042i \(-0.164847\pi\)
−0.863153 + 0.504942i \(0.831514\pi\)
\(314\) −1.01375 4.44151i −0.0572090 0.250649i
\(315\) 19.8805 14.6025i 1.12014 0.822758i
\(316\) −0.538353 + 2.35868i −0.0302847 + 0.132686i
\(317\) −21.3540 + 6.58684i −1.19936 + 0.369954i −0.829167 0.559001i \(-0.811185\pi\)
−0.370193 + 0.928955i \(0.620709\pi\)
\(318\) 9.37497 1.93631i 0.525722 0.108583i
\(319\) 9.83111 + 25.0493i 0.550436 + 1.40249i
\(320\) −0.691544 + 3.02985i −0.0386585 + 0.169374i
\(321\) 19.9475 15.2422i 1.11336 0.850739i
\(322\) 7.90694 + 11.5535i 0.440637 + 0.643852i
\(323\) 0.193905 + 0.849552i 0.0107891 + 0.0472703i
\(324\) −8.40420 + 3.22015i −0.466900 + 0.178897i
\(325\) −5.82796 10.0943i −0.323277 0.559932i
\(326\) −5.39929 23.6558i −0.299039 1.31018i
\(327\) −1.39738 0.133890i −0.0772752 0.00740412i
\(328\) −2.34169 0.352953i −0.129298 0.0194886i
\(329\) −7.37873 + 7.98057i −0.406803 + 0.439983i
\(330\) 26.5406 + 16.0656i 1.46101 + 0.884382i
\(331\) 22.6013 20.9709i 1.24228 1.15267i 0.259928 0.965628i \(-0.416301\pi\)
0.982352 0.187039i \(-0.0598892\pi\)
\(332\) 2.42424 6.17686i 0.133047 0.338999i
\(333\) 6.64862 1.75268i 0.364342 0.0960464i
\(334\) 7.81056 + 19.9010i 0.427375 + 1.08893i
\(335\) 2.38434 31.8168i 0.130270 1.73834i
\(336\) 4.58175 + 0.0868773i 0.249955 + 0.00473955i
\(337\) 0.113618 + 1.51612i 0.00618916 + 0.0825886i 0.999443 0.0333717i \(-0.0106245\pi\)
−0.993254 + 0.115960i \(0.963005\pi\)
\(338\) 6.07157 2.92391i 0.330250 0.159040i
\(339\) 4.36846 + 33.7087i 0.237262 + 1.83081i
\(340\) 6.37163 3.06842i 0.345550 0.166408i
\(341\) 17.2728 2.60345i 0.935372 0.140985i
\(342\) −1.08279 0.383812i −0.0585508 0.0207542i
\(343\) 8.12384 + 16.6434i 0.438646 + 0.898660i
\(344\) −4.30977 + 7.46474i −0.232367 + 0.402472i
\(345\) −24.9572 + 13.7275i −1.34365 + 0.739063i
\(346\) −1.11604 + 14.8925i −0.0599987 + 0.800628i
\(347\) −6.60649 6.12992i −0.354655 0.329071i 0.482645 0.875816i \(-0.339676\pi\)
−0.837299 + 0.546745i \(0.815867\pi\)
\(348\) −5.62202 + 5.81273i −0.301372 + 0.311595i
\(349\) 10.1075 6.89116i 0.541041 0.368875i −0.261750 0.965136i \(-0.584300\pi\)
0.802791 + 0.596260i \(0.203347\pi\)
\(350\) −1.85838 12.1836i −0.0993344 0.651243i
\(351\) 11.6421 5.78879i 0.621410 0.308983i
\(352\) 2.10567 + 5.36517i 0.112233 + 0.285965i
\(353\) −6.45067 3.10648i −0.343335 0.165341i 0.254268 0.967134i \(-0.418166\pi\)
−0.597602 + 0.801793i \(0.703880\pi\)
\(354\) −20.4526 + 11.2498i −1.08705 + 0.597920i
\(355\) −2.14980 9.41891i −0.114100 0.499904i
\(356\) 3.91149 9.96631i 0.207308 0.528213i
\(357\) −6.34602 8.27474i −0.335867 0.437946i
\(358\) 1.83718 + 4.68107i 0.0970982 + 0.247402i
\(359\) 6.50923 4.43792i 0.343544 0.234224i −0.379240 0.925298i \(-0.623815\pi\)
0.722784 + 0.691074i \(0.242862\pi\)
\(360\) −1.08137 + 9.26039i −0.0569931 + 0.488065i
\(361\) 9.42668 + 16.3275i 0.496141 + 0.859342i
\(362\) −0.481730 0.834382i −0.0253192 0.0438541i
\(363\) 38.4281 2.08007i 2.01695 0.109176i
\(364\) −6.60084 + 0.506377i −0.345978 + 0.0265414i
\(365\) 7.49550 2.31205i 0.392332 0.121018i
\(366\) −5.76652 + 4.40629i −0.301421 + 0.230321i
\(367\) −8.22412 + 10.3127i −0.429296 + 0.538320i −0.948687 0.316217i \(-0.897587\pi\)
0.519391 + 0.854537i \(0.326159\pi\)
\(368\) −5.23244 0.788664i −0.272760 0.0411119i
\(369\) −7.09832 0.294374i −0.369524 0.0153245i
\(370\) 1.58496 6.94417i 0.0823983 0.361010i
\(371\) −14.5838 1.06703i −0.757152 0.0553976i
\(372\) 2.86657 + 4.39758i 0.148625 + 0.228004i
\(373\) −0.770592 −0.0398997 −0.0199499 0.999801i \(-0.506351\pi\)
−0.0199499 + 0.999801i \(0.506351\pi\)
\(374\) 6.55775 11.3583i 0.339093 0.587326i
\(375\) −1.83693 + 0.0994312i −0.0948587 + 0.00513461i
\(376\) −0.306998 4.09661i −0.0158322 0.211267i
\(377\) 7.28391 9.13374i 0.375141 0.470412i
\(378\) 13.6931 1.22458i 0.704296 0.0629855i
\(379\) −15.3750 19.2796i −0.789760 0.990328i −0.999920 0.0126607i \(-0.995970\pi\)
0.210160 0.977667i \(-0.432602\pi\)
\(380\) −0.872388 + 0.809457i −0.0447525 + 0.0415243i
\(381\) 20.6537 11.3604i 1.05812 0.582012i
\(382\) 6.08294 4.14728i 0.311230 0.212193i
\(383\) 18.8878 23.6846i 0.965122 1.21023i −0.0125139 0.999922i \(-0.503983\pi\)
0.977636 0.210303i \(-0.0674452\pi\)
\(384\) −1.20415 + 1.24500i −0.0614491 + 0.0635335i
\(385\) −32.2949 34.6827i −1.64590 1.76760i
\(386\) 11.2253 + 5.40583i 0.571354 + 0.275149i
\(387\) −10.4365 + 23.6590i −0.530517 + 1.20265i
\(388\) 10.8007 3.33156i 0.548321 0.169134i
\(389\) 32.2837 15.5470i 1.63685 0.788266i 0.637002 0.770862i \(-0.280174\pi\)
0.999849 0.0174033i \(-0.00553993\pi\)
\(390\) 0.279105 13.4661i 0.0141330 0.681881i
\(391\) 6.02066 + 10.4281i 0.304478 + 0.527371i
\(392\) −6.69625 2.03967i −0.338212 0.103019i
\(393\) −4.33121 + 25.1830i −0.218481 + 1.27031i
\(394\) 8.25275 21.0277i 0.415768 1.05936i
\(395\) 6.21228 + 4.23546i 0.312574 + 0.213109i
\(396\) 8.01749 + 15.3196i 0.402894 + 0.769839i
\(397\) −0.985784 + 13.1544i −0.0494751 + 0.660199i 0.916246 + 0.400617i \(0.131204\pi\)
−0.965721 + 0.259583i \(0.916415\pi\)
\(398\) 8.37434 5.70953i 0.419768 0.286193i
\(399\) 1.43091 + 1.01584i 0.0716350 + 0.0508557i
\(400\) 3.84882 + 2.62408i 0.192441 + 0.131204i
\(401\) 1.37536 1.72465i 0.0686824 0.0861250i −0.746303 0.665606i \(-0.768173\pi\)
0.814986 + 0.579481i \(0.196745\pi\)
\(402\) 10.3193 14.4816i 0.514682 0.722274i
\(403\) −4.72825 5.92904i −0.235531 0.295346i
\(404\) −18.0756 5.57559i −0.899295 0.277396i
\(405\) −0.226400 + 27.9690i −0.0112499 + 1.38979i
\(406\) 10.6868 6.19519i 0.530377 0.307462i
\(407\) −4.82603 12.2965i −0.239218 0.609516i
\(408\) 3.92345 + 0.375925i 0.194240 + 0.0186111i
\(409\) −4.55128 1.40388i −0.225046 0.0694176i 0.180181 0.983633i \(-0.442332\pi\)
−0.405228 + 0.914216i \(0.632808\pi\)
\(410\) −3.67982 + 6.37364i −0.181733 + 0.314771i
\(411\) 5.54903 32.2638i 0.273714 1.59145i
\(412\) −7.73159 2.38488i −0.380908 0.117495i
\(413\) 34.7481 7.99555i 1.70984 0.393435i
\(414\) −15.8610 0.657770i −0.779526 0.0323276i
\(415\) −15.1168 14.0264i −0.742056 0.688527i
\(416\) 1.56010 1.95631i 0.0764904 0.0959159i
\(417\) 2.87245 8.67015i 0.140665 0.424579i
\(418\) −0.491122 + 2.15175i −0.0240216 + 0.105245i
\(419\) 9.13677 2.81832i 0.446360 0.137684i −0.0634230 0.997987i \(-0.520202\pi\)
0.509783 + 0.860303i \(0.329726\pi\)
\(420\) 5.45344 13.1561i 0.266100 0.641952i
\(421\) −22.6996 7.00191i −1.10631 0.341252i −0.312808 0.949816i \(-0.601270\pi\)
−0.793505 + 0.608564i \(0.791746\pi\)
\(422\) 3.90598 6.76536i 0.190140 0.329333i
\(423\) −2.24220 12.1186i −0.109019 0.589227i
\(424\) 4.05149 3.75924i 0.196758 0.182565i
\(425\) −0.792154 10.5706i −0.0384251 0.512747i
\(426\) 1.69337 5.11122i 0.0820439 0.247639i
\(427\) 10.3122 4.06825i 0.499043 0.196877i
\(428\) 5.29526 13.4921i 0.255956 0.652166i
\(429\) −13.6406 20.9259i −0.658572 1.01031i
\(430\) 16.7018 + 20.9434i 0.805431 + 1.00998i
\(431\) 0.455517 + 6.07846i 0.0219415 + 0.292789i 0.997370 + 0.0724741i \(0.0230895\pi\)
−0.975429 + 0.220315i \(0.929291\pi\)
\(432\) −3.18819 + 4.10311i −0.153392 + 0.197411i
\(433\) 29.4796 14.1966i 1.41670 0.682247i 0.440227 0.897886i \(-0.354898\pi\)
0.976473 + 0.215640i \(0.0691837\pi\)
\(434\) −2.37702 7.65813i −0.114101 0.367602i
\(435\) 10.4327 + 22.8639i 0.500208 + 1.09624i
\(436\) −0.730209 + 0.351650i −0.0349707 + 0.0168410i
\(437\) −1.48540 1.37825i −0.0710562 0.0659306i
\(438\) 4.24100 + 1.06090i 0.202643 + 0.0506918i
\(439\) −8.95833 + 22.8255i −0.427558 + 1.08940i 0.541091 + 0.840964i \(0.318012\pi\)
−0.968648 + 0.248435i \(0.920084\pi\)
\(440\) 17.9119 0.853917
\(441\) −20.6319 3.91485i −0.982470 0.186421i
\(442\) −5.69398 −0.270835
\(443\) 0.640071 1.63087i 0.0304107 0.0774851i −0.914862 0.403767i \(-0.867701\pi\)
0.945273 + 0.326282i \(0.105796\pi\)
\(444\) 2.75982 2.85343i 0.130975 0.135418i
\(445\) −24.3909 22.6314i −1.15624 1.07283i
\(446\) −25.9540 + 12.4988i −1.22896 + 0.591834i
\(447\) −7.76004 + 10.8900i −0.367037 + 0.515079i
\(448\) 2.28895 1.32692i 0.108143 0.0626909i
\(449\) 11.4176 5.49841i 0.538828 0.259486i −0.144617 0.989488i \(-0.546195\pi\)
0.683445 + 0.730002i \(0.260481\pi\)
\(450\) 12.3287 + 6.57990i 0.581182 + 0.310180i
\(451\) 1.01999 + 13.6108i 0.0480294 + 0.640908i
\(452\) 12.2357 + 15.3431i 0.575518 + 0.721676i
\(453\) −34.1227 + 1.84703i −1.60322 + 0.0867809i
\(454\) −3.77336 + 9.61435i −0.177092 + 0.451224i
\(455\) −6.02965 + 19.6708i −0.282674 + 0.922181i
\(456\) −0.649554 + 0.134159i −0.0304182 + 0.00628256i
\(457\) 1.69284 + 22.5894i 0.0791879 + 1.05669i 0.885329 + 0.464966i \(0.153933\pi\)
−0.806141 + 0.591724i \(0.798448\pi\)
\(458\) −15.5627 + 14.4400i −0.727195 + 0.674739i
\(459\) 11.8233 0.149325i 0.551865 0.00696991i
\(460\) −8.22246 + 14.2417i −0.383374 + 0.664023i
\(461\) 34.4988 + 10.6415i 1.60677 + 0.495622i 0.962978 0.269581i \(-0.0868850\pi\)
0.643790 + 0.765203i \(0.277361\pi\)
\(462\) −5.38801 25.8567i −0.250673 1.20296i
\(463\) −9.48809 + 2.92669i −0.440949 + 0.136015i −0.507277 0.861783i \(-0.669348\pi\)
0.0663279 + 0.997798i \(0.478872\pi\)
\(464\) −1.03892 + 4.55181i −0.0482307 + 0.211312i
\(465\) 15.9766 3.29981i 0.740899 0.153025i
\(466\) −18.0042 + 22.5765i −0.834028 + 1.04584i
\(467\) 27.6900 + 25.6925i 1.28134 + 1.18891i 0.971213 + 0.238213i \(0.0765616\pi\)
0.310126 + 0.950696i \(0.399629\pi\)
\(468\) 4.01946 6.33984i 0.185800 0.293059i
\(469\) −21.2067 + 16.9731i −0.979235 + 0.783744i
\(470\) −12.1998 3.76315i −0.562736 0.173581i
\(471\) −6.06597 5.04659i −0.279505 0.232535i
\(472\) −6.73837 + 11.6712i −0.310159 + 0.537211i
\(473\) 47.4723 + 14.6433i 2.18278 + 0.673299i
\(474\) 1.73953 + 3.81230i 0.0798992 + 0.175105i
\(475\) 0.651698 + 1.66050i 0.0299019 + 0.0761889i
\(476\) −5.60830 2.18969i −0.257056 0.100364i
\(477\) 10.8661 12.5238i 0.497526 0.573425i
\(478\) −22.2637 6.86743i −1.01832 0.314109i
\(479\) −25.1139 31.4919i −1.14748 1.43890i −0.879768 0.475403i \(-0.842302\pi\)
−0.267716 0.963498i \(-0.586269\pi\)
\(480\) 2.23452 + 4.89711i 0.101991 + 0.223521i
\(481\) −3.57563 + 4.48370i −0.163035 + 0.204439i
\(482\) 2.33221 + 1.59008i 0.106229 + 0.0724260i
\(483\) 23.0319 + 7.58550i 1.04799 + 0.345152i
\(484\) 18.3581 12.5164i 0.834461 0.568926i
\(485\) 2.62501 35.0283i 0.119196 1.59056i
\(486\) −8.17998 + 13.2698i −0.371052 + 0.601931i
\(487\) −27.4697 18.7285i −1.24477 0.848671i −0.251888 0.967756i \(-0.581051\pi\)
−0.992884 + 0.119085i \(0.962004\pi\)
\(488\) −1.53078 + 3.90036i −0.0692950 + 0.176561i
\(489\) −32.3078 26.8785i −1.46101 1.21549i
\(490\) −13.5035 + 17.0560i −0.610028 + 0.770513i
\(491\) 12.1520 + 21.0480i 0.548414 + 0.949881i 0.998383 + 0.0568370i \(0.0181015\pi\)
−0.449969 + 0.893044i \(0.648565\pi\)
\(492\) −3.59395 + 1.97682i −0.162028 + 0.0891219i
\(493\) 9.57222 4.60974i 0.431111 0.207612i
\(494\) 0.915617 0.282430i 0.0411955 0.0127071i
\(495\) 53.4218 5.80033i 2.40113 0.260705i
\(496\) 2.73059 + 1.31498i 0.122607 + 0.0590445i
\(497\) −4.62123 + 6.80385i −0.207290 + 0.305195i
\(498\) −3.15934 11.0503i −0.141574 0.495178i
\(499\) 22.9091 28.7271i 1.02555 1.28600i 0.0680150 0.997684i \(-0.478333\pi\)
0.957536 0.288315i \(-0.0930951\pi\)
\(500\) −0.877552 + 0.598305i −0.0392453 + 0.0267570i
\(501\) 31.6777 + 19.1751i 1.41525 + 0.856682i
\(502\) −20.5019 + 19.0230i −0.915046 + 0.849038i
\(503\) −17.8538 22.3879i −0.796061 0.998229i −0.999816 0.0192066i \(-0.993886\pi\)
0.203755 0.979022i \(-0.434685\pi\)
\(504\) 6.39704 4.69871i 0.284947 0.209297i
\(505\) −36.6528 + 45.9612i −1.63103 + 2.04525i
\(506\) 2.27914 + 30.4130i 0.101320 + 1.35202i
\(507\) 5.28120 10.4091i 0.234546 0.462283i
\(508\) 6.80463 11.7860i 0.301907 0.522918i
\(509\) −7.03289 −0.311728 −0.155864 0.987779i \(-0.549816\pi\)
−0.155864 + 0.987779i \(0.549816\pi\)
\(510\) 5.54220 10.9235i 0.245413 0.483700i
\(511\) −5.78907 3.32872i −0.256093 0.147254i
\(512\) −0.222521 + 0.974928i −0.00983413 + 0.0430861i
\(513\) −1.89383 + 0.610467i −0.0836147 + 0.0269528i
\(514\) −2.93004 0.441633i −0.129239 0.0194796i
\(515\) −15.6777 + 19.6593i −0.690844 + 0.866291i
\(516\) 1.91873 + 14.8057i 0.0844674 + 0.651783i
\(517\) −22.6255 + 6.97903i −0.995066 + 0.306937i
\(518\) −5.24609 + 3.04118i −0.230500 + 0.133622i
\(519\) 14.1254 + 21.6696i 0.620035 + 0.951192i
\(520\) −3.88815 6.73448i −0.170507 0.295326i
\(521\) −22.0442 38.1816i −0.965772 1.67277i −0.707526 0.706687i \(-0.750189\pi\)
−0.258246 0.966079i \(-0.583144\pi\)
\(522\) −1.62456 + 13.9121i −0.0711050 + 0.608914i
\(523\) 25.1712 17.1614i 1.10066 0.750418i 0.130154 0.991494i \(-0.458453\pi\)
0.970506 + 0.241076i \(0.0775003\pi\)
\(524\) 5.38983 + 13.7331i 0.235456 + 0.599931i
\(525\) −15.3702 14.8135i −0.670810 0.646515i
\(526\) −4.83337 + 12.3152i −0.210745 + 0.536969i
\(527\) −1.53465 6.72374i −0.0668504 0.292891i
\(528\) 8.54009 + 5.16949i 0.371660 + 0.224973i
\(529\) −4.50525 2.16962i −0.195881 0.0943311i
\(530\) −6.27520 15.9890i −0.272577 0.694516i
\(531\) −16.3176 + 36.9911i −0.708122 + 1.60528i
\(532\) 1.01045 + 0.0739304i 0.0438086 + 0.00320529i
\(533\) 4.89595 3.33800i 0.212067 0.144585i
\(534\) −5.09758 17.8296i −0.220594 0.771564i
\(535\) −33.0197 30.6378i −1.42756 1.32459i
\(536\) 0.767218 10.2378i 0.0331388 0.442206i
\(537\) 7.45116 + 4.51034i 0.321541 + 0.194636i
\(538\) −12.1009 + 20.9593i −0.521705 + 0.903620i
\(539\) −2.87301 + 40.2427i −0.123750 + 1.73337i
\(540\) 8.25020 + 13.8819i 0.355032 + 0.597381i
\(541\) 16.5643 2.49667i 0.712156 0.107340i 0.217034 0.976164i \(-0.430362\pi\)
0.495122 + 0.868824i \(0.335124\pi\)
\(542\) 1.69313 0.815370i 0.0727263 0.0350231i
\(543\) −1.54044 0.641727i −0.0661066 0.0275391i
\(544\) 2.05023 0.987336i 0.0879027 0.0423317i
\(545\) 0.188227 + 2.51172i 0.00806276 + 0.107590i
\(546\) −8.55195 + 7.63850i −0.365989 + 0.326897i
\(547\) 2.13374 28.4728i 0.0912323 1.21741i −0.744253 0.667898i \(-0.767194\pi\)
0.835486 0.549512i \(-0.185187\pi\)
\(548\) −6.90531 17.5944i −0.294980 0.751597i
\(549\) −3.30246 + 12.1284i −0.140946 + 0.517628i
\(550\) 9.80874 24.9923i 0.418246 1.06567i
\(551\) −1.31060 + 1.21606i −0.0558336 + 0.0518060i
\(552\) −8.03058 + 4.41715i −0.341804 + 0.188006i
\(553\) −0.965180 6.32778i −0.0410436 0.269085i
\(554\) −8.33056 1.25563i −0.353932 0.0533466i
\(555\) −5.12133 11.2238i −0.217388 0.476422i
\(556\) −1.17342 5.14107i −0.0497639 0.218030i
\(557\) 5.80542 + 10.0553i 0.245984 + 0.426056i 0.962408 0.271609i \(-0.0875557\pi\)
−0.716424 + 0.697665i \(0.754222\pi\)
\(558\) 8.56973 + 3.03767i 0.362786 + 0.128595i
\(559\) −4.79931 21.0272i −0.202989 0.889354i
\(560\) −1.23983 8.12838i −0.0523922 0.343487i
\(561\) −2.91954 22.5283i −0.123263 0.951146i
\(562\) −0.738504 + 3.23560i −0.0311519 + 0.136486i
\(563\) 5.34921 + 13.6296i 0.225442 + 0.574417i 0.998180 0.0603083i \(-0.0192084\pi\)
−0.772738 + 0.634726i \(0.781113\pi\)
\(564\) −4.73060 5.31515i −0.199194 0.223808i
\(565\) 58.2789 17.9767i 2.45181 0.756284i
\(566\) −0.179282 + 0.785487i −0.00753580 + 0.0330165i
\(567\) 17.5574 16.0853i 0.737343 0.675519i
\(568\) −0.691751 3.03076i −0.0290252 0.127168i
\(569\) 13.8736 + 24.0297i 0.581610 + 1.00738i 0.995289 + 0.0969547i \(0.0309102\pi\)
−0.413679 + 0.910423i \(0.635756\pi\)
\(570\) −0.349388 + 2.03145i −0.0146342 + 0.0850879i
\(571\) 20.1207 + 6.20642i 0.842026 + 0.259731i 0.685618 0.727962i \(-0.259532\pi\)
0.156408 + 0.987692i \(0.450008\pi\)
\(572\) −12.9935 6.25735i −0.543286 0.261633i
\(573\) 4.01033 12.1047i 0.167534 0.505680i
\(574\) 6.10595 1.40498i 0.254858 0.0586428i
\(575\) 15.3686 + 19.2716i 0.640914 + 0.803681i
\(576\) −0.347956 + 2.97975i −0.0144982 + 0.124156i
\(577\) −7.89725 + 20.1219i −0.328767 + 0.837684i 0.666939 + 0.745112i \(0.267604\pi\)
−0.995706 + 0.0925721i \(0.970491\pi\)
\(578\) 10.6510 + 5.12926i 0.443024 + 0.213349i
\(579\) 21.1338 4.36498i 0.878292 0.181402i
\(580\) 11.9885 + 8.17364i 0.497797 + 0.339392i
\(581\) 0.0309733 + 17.5560i 0.00128499 + 0.728345i
\(582\) 11.3610 15.9433i 0.470927 0.660872i
\(583\) −26.3196 17.9444i −1.09005 0.743180i
\(584\) 2.41186 0.743959i 0.0998033 0.0307852i
\(585\) −13.7771 18.8263i −0.569613 0.778372i
\(586\) −1.19139 + 0.179574i −0.0492160 + 0.00741812i
\(587\) 11.9686 20.7302i 0.493996 0.855627i −0.505980 0.862545i \(-0.668869\pi\)
0.999976 + 0.00691849i \(0.00220224\pi\)
\(588\) −11.3607 + 4.23481i −0.468509 + 0.174641i
\(589\) 0.580287 + 1.00509i 0.0239103 + 0.0414138i
\(590\) 26.1134 + 32.7452i 1.07507 + 1.34810i
\(591\) −10.7553 37.6183i −0.442412 1.54741i
\(592\) 0.510000 2.23445i 0.0209609 0.0918355i
\(593\) 0.792233 10.5716i 0.0325331 0.434124i −0.957027 0.290000i \(-0.906345\pi\)
0.989560 0.144124i \(-0.0460363\pi\)
\(594\) 27.1446 + 12.6524i 1.11376 + 0.519133i
\(595\) −12.7023 + 13.7383i −0.520743 + 0.563217i
\(596\) −0.576940 + 7.69874i −0.0236324 + 0.315352i
\(597\) 5.52099 16.6644i 0.225959 0.682030i
\(598\) 10.9399 7.45868i 0.447365 0.305008i
\(599\) 8.81907 1.32926i 0.360338 0.0543121i 0.0336213 0.999435i \(-0.489296\pi\)
0.326716 + 0.945123i \(0.394058\pi\)
\(600\) 8.05652 0.436091i 0.328906 0.0178034i
\(601\) 6.79916 1.02481i 0.277343 0.0418028i −0.00889770 0.999960i \(-0.502832\pi\)
0.286241 + 0.958158i \(0.407594\pi\)
\(602\) 3.35914 22.5564i 0.136908 0.919330i
\(603\) −1.02706 30.7824i −0.0418250 1.25356i
\(604\) −16.3013 + 11.1141i −0.663292 + 0.452225i
\(605\) −15.3654 67.3201i −0.624691 2.73695i
\(606\) −30.7401 + 11.3353i −1.24873 + 0.460464i
\(607\) −27.9193 −1.13321 −0.566605 0.823990i \(-0.691743\pi\)
−0.566605 + 0.823990i \(0.691743\pi\)
\(608\) −0.280712 + 0.260462i −0.0113844 + 0.0105631i
\(609\) 8.19280 19.7647i 0.331989 0.800905i
\(610\) 9.54547 + 8.85690i 0.386485 + 0.358605i
\(611\) 7.53528 + 6.99172i 0.304845 + 0.282855i
\(612\) 5.79501 3.60862i 0.234250 0.145870i
\(613\) 23.3812 + 3.52415i 0.944359 + 0.142339i 0.603132 0.797642i \(-0.293919\pi\)
0.341227 + 0.939981i \(0.389157\pi\)
\(614\) −13.1573 + 4.05849i −0.530985 + 0.163787i
\(615\) 1.63827 + 12.6416i 0.0660616 + 0.509757i
\(616\) −10.3917 11.1600i −0.418692 0.449649i
\(617\) 16.4767 15.2881i 0.663326 0.615477i −0.274911 0.961470i \(-0.588648\pi\)
0.938237 + 0.345993i \(0.112458\pi\)
\(618\) −13.1487 + 4.84851i −0.528917 + 0.195036i
\(619\) 20.7727 0.834924 0.417462 0.908694i \(-0.362920\pi\)
0.417462 + 0.908694i \(0.362920\pi\)
\(620\) 6.90447 6.40642i 0.277290 0.257288i
\(621\) −22.5206 + 15.7745i −0.903720 + 0.633010i
\(622\) −12.0182 + 15.0704i −0.481887 + 0.604267i
\(623\) 0.0499752 + 28.3264i 0.00200221 + 1.13487i
\(624\) 0.0898087 4.33303i 0.00359523 0.173460i
\(625\) 5.91727 + 25.9253i 0.236691 + 1.03701i
\(626\) 0.199992 0.0301439i 0.00799328 0.00120479i
\(627\) 1.58691 + 3.47784i 0.0633752 + 0.138891i
\(628\) −4.50485 0.678997i −0.179763 0.0270949i
\(629\) −4.69895 + 2.26289i −0.187359 + 0.0902275i
\(630\) −6.32992 23.8412i −0.252190 0.949855i
\(631\) −16.2616 7.83117i −0.647364 0.311754i 0.0812346 0.996695i \(-0.474114\pi\)
−0.728599 + 0.684941i \(0.759828\pi\)
\(632\) 1.99895 + 1.36286i 0.0795140 + 0.0542117i
\(633\) −1.73896 13.4185i −0.0691176 0.533338i
\(634\) −1.66998 + 22.2843i −0.0663233 + 0.885023i
\(635\) −26.3702 33.0671i −1.04647 1.31223i
\(636\) 1.62261 9.43433i 0.0643405 0.374095i
\(637\) 15.7540 7.65532i 0.624196 0.303315i
\(638\) 26.9094 1.06535
\(639\) −3.04456 8.81515i −0.120441 0.348722i
\(640\) 2.56776 + 1.75067i 0.101500 + 0.0692013i
\(641\) −0.976713 + 4.27926i −0.0385778 + 0.169021i −0.990547 0.137173i \(-0.956198\pi\)
0.951969 + 0.306194i \(0.0990555\pi\)
\(642\) −6.90096 24.1373i −0.272359 0.952622i
\(643\) −0.742972 9.91428i −0.0293000 0.390981i −0.992504 0.122210i \(-0.961002\pi\)
0.963204 0.268770i \(-0.0866173\pi\)
\(644\) 13.6436 3.13939i 0.537633 0.123709i
\(645\) 45.0105 + 11.2595i 1.77229 + 0.443343i
\(646\) 0.861667 + 0.129875i 0.0339018 + 0.00510988i
\(647\) 1.03814 + 13.8530i 0.0408134 + 0.544617i 0.979710 + 0.200419i \(0.0642303\pi\)
−0.938897 + 0.344199i \(0.888151\pi\)
\(648\) −0.0728498 + 8.99971i −0.00286181 + 0.353542i
\(649\) 74.2235 + 22.8949i 2.91353 + 0.898705i
\(650\) −11.5257 + 1.73722i −0.452076 + 0.0681395i
\(651\) −11.3249 8.03983i −0.443856 0.315106i
\(652\) −23.9932 3.61639i −0.939645 0.141629i
\(653\) 2.09818 + 1.01043i 0.0821083 + 0.0395413i 0.474487 0.880262i \(-0.342634\pi\)
−0.392379 + 0.919804i \(0.628348\pi\)
\(654\) −0.635154 + 1.25187i −0.0248365 + 0.0489519i
\(655\) 45.8485 1.79145
\(656\) −1.18407 + 2.05087i −0.0462302 + 0.0800730i
\(657\) 6.95238 2.99986i 0.271238 0.117036i
\(658\) 4.73315 + 9.78430i 0.184517 + 0.381432i
\(659\) −4.25124 3.94457i −0.165605 0.153659i 0.593017 0.805190i \(-0.297937\pi\)
−0.758622 + 0.651531i \(0.774127\pi\)
\(660\) 24.6514 18.8366i 0.959556 0.733213i
\(661\) 1.03546 + 2.63831i 0.0402747 + 0.102618i 0.949596 0.313476i \(-0.101494\pi\)
−0.909321 + 0.416095i \(0.863398\pi\)
\(662\) −11.2641 28.7005i −0.437792 1.11548i
\(663\) −7.83639 + 5.98792i −0.304340 + 0.232552i
\(664\) −4.86420 4.51332i −0.188768 0.175151i
\(665\) 1.36114 2.83924i 0.0527827 0.110101i
\(666\) 0.797487 6.82935i 0.0309020 0.264632i
\(667\) −12.3528 + 21.3956i −0.478301 + 0.828441i
\(668\) 21.3788 0.827171
\(669\) −22.5754 + 44.4953i −0.872815 + 1.72029i
\(670\) −28.7463 13.8435i −1.11057 0.534821i
\(671\) 23.8797 + 3.59928i 0.921864 + 0.138949i
\(672\) 1.75477 4.23329i 0.0676919 0.163303i
\(673\) 3.16839 0.477558i 0.122133 0.0184085i −0.0876915 0.996148i \(-0.527949\pi\)
0.209824 + 0.977739i \(0.432711\pi\)
\(674\) 1.45283 + 0.448139i 0.0559609 + 0.0172617i
\(675\) 23.8871 3.90953i 0.919416 0.150478i
\(676\) −0.503601 6.72009i −0.0193693 0.258465i
\(677\) −22.7499 3.42899i −0.874349 0.131787i −0.303490 0.952835i \(-0.598152\pi\)
−0.570860 + 0.821048i \(0.693390\pi\)
\(678\) 32.9746 + 8.24870i 1.26638 + 0.316789i
\(679\) −23.3473 + 18.6863i −0.895987 + 0.717116i
\(680\) −0.528489 7.05220i −0.0202666 0.270440i
\(681\) 4.91756 + 17.2000i 0.188441 + 0.659105i
\(682\) 3.88696 17.0299i 0.148840 0.652109i
\(683\) −31.0164 21.1466i −1.18681 0.809152i −0.201425 0.979504i \(-0.564557\pi\)
−0.985383 + 0.170352i \(0.945510\pi\)
\(684\) −0.752870 + 0.867723i −0.0287867 + 0.0331782i
\(685\) −58.7400 −2.24434
\(686\) 18.4609 1.48175i 0.704840 0.0565735i
\(687\) −6.23278 + 36.2393i −0.237795 + 1.38261i
\(688\) 5.37419 + 6.73903i 0.204889 + 0.256923i
\(689\) −1.03348 + 13.7908i −0.0393723 + 0.525386i
\(690\) 3.66068 + 28.2472i 0.139360 + 1.07535i
\(691\) −4.13276 2.81767i −0.157217 0.107189i 0.482156 0.876085i \(-0.339854\pi\)
−0.639373 + 0.768896i \(0.720806\pi\)
\(692\) 13.4553 + 6.47975i 0.511495 + 0.246323i
\(693\) −34.6068 29.9193i −1.31460 1.13654i
\(694\) −8.11980 + 3.91029i −0.308224 + 0.148433i
\(695\) −16.2051 2.44253i −0.614695 0.0926503i
\(696\) 3.35696 + 7.35702i 0.127245 + 0.278867i
\(697\) 5.32870 0.803172i 0.201839 0.0304223i
\(698\) −2.72212 11.9264i −0.103034 0.451421i
\(699\) −1.03643 + 50.0048i −0.0392012 + 1.89135i
\(700\) −12.0204 2.72127i −0.454327 0.102854i
\(701\) 11.4845 14.4011i 0.433762 0.543921i −0.516125 0.856513i \(-0.672626\pi\)
0.949887 + 0.312593i \(0.101197\pi\)
\(702\) −1.13529 12.9522i −0.0428488 0.488850i
\(703\) 0.643368 0.596958i 0.0242651 0.0225147i
\(704\) 5.76359 0.217223
\(705\) −20.7475 + 7.65055i −0.781397 + 0.288136i
\(706\) −5.24844 + 4.86984i −0.197528 + 0.183279i
\(707\) 49.9004 3.82806i 1.87670 0.143969i
\(708\) 2.99996 + 23.1488i 0.112745 + 0.869986i
\(709\) −45.0961 + 13.9103i −1.69362 + 0.522413i −0.983382 0.181549i \(-0.941889\pi\)
−0.710238 + 0.703962i \(0.751413\pi\)
\(710\) −9.55323 1.43992i −0.358526 0.0540391i
\(711\) 6.40314 + 3.41739i 0.240137 + 0.128162i
\(712\) −7.84835 7.28220i −0.294129 0.272912i
\(713\) 11.7561 + 10.9081i 0.440270 + 0.408511i
\(714\) −10.0212 + 2.88424i −0.375034 + 0.107940i
\(715\) −32.8549 + 30.4849i −1.22871 + 1.14007i
\(716\) 5.02868 0.187931
\(717\) −37.8625 + 13.9616i −1.41400 + 0.521406i
\(718\) −1.75305 7.68062i −0.0654233 0.286638i
\(719\) 1.26049 0.859390i 0.0470085 0.0320498i −0.539588 0.841929i \(-0.681420\pi\)
0.586596 + 0.809879i \(0.300468\pi\)
\(720\) 8.22519 + 4.38982i 0.306535 + 0.163599i
\(721\) 21.3442 1.63740i 0.794900 0.0609800i
\(722\) 18.6428 2.80995i 0.693813 0.104575i
\(723\) 4.88189 0.264252i 0.181560 0.00982764i
\(724\) −0.952700 + 0.143596i −0.0354068 + 0.00533672i
\(725\) 17.9696 12.2515i 0.667375 0.455009i
\(726\) 12.1031 36.5316i 0.449187 1.35582i
\(727\) −1.51507 + 20.2172i −0.0561908 + 0.749814i 0.895950 + 0.444155i \(0.146496\pi\)
−0.952141 + 0.305659i \(0.901123\pi\)
\(728\) −1.94018 + 6.32955i −0.0719080 + 0.234589i
\(729\) 2.69706 + 26.8650i 0.0998911 + 0.994998i
\(730\) 0.586182 7.82205i 0.0216956 0.289507i
\(731\) 4.36462 19.1227i 0.161431 0.707277i
\(732\) 1.99496 + 6.97770i 0.0737358 + 0.257903i
\(733\) 12.8190 + 16.0745i 0.473479 + 0.593724i 0.960019 0.279934i \(-0.0903127\pi\)
−0.486540 + 0.873658i \(0.661741\pi\)
\(734\) 6.59524 + 11.4233i 0.243435 + 0.421641i
\(735\) −0.647874 + 37.6742i −0.0238972 + 1.38963i
\(736\) −2.64577 + 4.58261i −0.0975245 + 0.168917i
\(737\) −58.5111 + 8.81912i −2.15528 + 0.324857i
\(738\) −2.86733 + 6.50009i −0.105548 + 0.239272i
\(739\) 1.55703 0.480280i 0.0572762 0.0176674i −0.265985 0.963977i \(-0.585697\pi\)
0.323261 + 0.946310i \(0.395221\pi\)
\(740\) −5.88510 4.01239i −0.216341 0.147498i
\(741\) 0.963116 1.35158i 0.0353809 0.0496516i
\(742\) −6.32133 + 13.1858i −0.232063 + 0.484067i
\(743\) 12.7512 + 8.69360i 0.467795 + 0.318937i 0.774174 0.632972i \(-0.218165\pi\)
−0.306380 + 0.951909i \(0.599118\pi\)
\(744\) 5.14087 1.06179i 0.188473 0.0389273i
\(745\) 21.6169 + 10.4102i 0.791984 + 0.381399i
\(746\) −0.281529 + 0.717324i −0.0103075 + 0.0262631i
\(747\) −15.9689 11.8857i −0.584270 0.434875i
\(748\) −8.17737 10.2541i −0.298994 0.374927i
\(749\) 0.0676550 + 38.3475i 0.00247206 + 1.40119i
\(750\) −0.578548 + 1.74628i −0.0211256 + 0.0637650i
\(751\) 4.58485 + 2.20795i 0.167304 + 0.0805691i 0.515661 0.856793i \(-0.327546\pi\)
−0.348358 + 0.937362i \(0.613261\pi\)
\(752\) −3.92559 1.21088i −0.143151 0.0441563i
\(753\) −8.21094 + 47.7409i −0.299223 + 1.73977i
\(754\) −5.84125 10.1173i −0.212726 0.368452i
\(755\) 13.6439 + 59.7777i 0.496551 + 2.17553i
\(756\) 3.86272 13.1939i 0.140486 0.479858i
\(757\) −2.99285 + 13.1125i −0.108777 + 0.476582i 0.890970 + 0.454063i \(0.150026\pi\)
−0.999746 + 0.0225194i \(0.992831\pi\)
\(758\) −23.5640 + 7.26853i −0.855883 + 0.264005i
\(759\) 35.1197 + 39.4594i 1.27476 + 1.43228i
\(760\) 0.434784 + 1.10781i 0.0157713 + 0.0401845i
\(761\) −6.51508 + 28.5444i −0.236171 + 1.03473i 0.708241 + 0.705971i \(0.249489\pi\)
−0.944412 + 0.328764i \(0.893368\pi\)
\(762\) −3.02946 23.3764i −0.109746 0.846839i
\(763\) 1.45572 1.57446i 0.0527007 0.0569992i
\(764\) −1.63824 7.17762i −0.0592696 0.259677i
\(765\) −3.85989 20.8619i −0.139554 0.754262i
\(766\) −15.1469 26.2351i −0.547278 0.947913i
\(767\) −7.50378 32.8762i −0.270946 1.18709i
\(768\) 0.719010 + 1.57576i 0.0259450 + 0.0568604i
\(769\) 29.4078 + 4.43251i 1.06047 + 0.159840i 0.656039 0.754727i \(-0.272231\pi\)
0.404433 + 0.914568i \(0.367469\pi\)
\(770\) −44.0839 + 17.3915i −1.58867 + 0.626745i
\(771\) −4.49693 + 2.47350i −0.161953 + 0.0890808i
\(772\) 9.13321 8.47438i 0.328712 0.305000i
\(773\) 2.79605 7.12422i 0.100567 0.256241i −0.871731 0.489984i \(-0.837002\pi\)
0.972298 + 0.233744i \(0.0750977\pi\)
\(774\) 18.2107 + 18.3587i 0.654568 + 0.659888i
\(775\) −5.15783 13.1419i −0.185275 0.472073i
\(776\) 0.844660 11.2712i 0.0303215 0.404613i
\(777\) −4.02180 + 9.70236i −0.144281 + 0.348070i
\(778\) −2.67775 35.7320i −0.0960019 1.28106i
\(779\) −0.817039 + 0.393465i −0.0292735 + 0.0140974i
\(780\) −12.4332 5.17952i −0.445181 0.185456i
\(781\) −16.1429 + 7.77401i −0.577638 + 0.278176i
\(782\) 11.9068 1.79467i 0.425787 0.0641771i
\(783\) 12.3944 + 20.8550i 0.442941 + 0.745298i
\(784\) −4.34509 + 5.48819i −0.155182 + 0.196007i
\(785\) −7.07909 + 12.2613i −0.252664 + 0.437626i
\(786\) 21.8598 + 13.2322i 0.779713 + 0.471976i
\(787\) −0.550660 + 7.34805i −0.0196289 + 0.261930i 0.978752 + 0.205048i \(0.0657349\pi\)
−0.998381 + 0.0568820i \(0.981884\pi\)
\(788\) −16.5590 15.3645i −0.589891 0.547339i
\(789\) 6.29900 + 22.0318i 0.224250 + 0.784353i
\(790\) 6.21228 4.23546i 0.221023 0.150691i
\(791\) −45.0111 25.8814i −1.60041 0.920237i
\(792\) 17.1897 1.86640i 0.610811 0.0663195i
\(793\) −3.83033 9.75952i −0.136019 0.346571i
\(794\) 11.8849 + 5.72347i 0.421780 + 0.203118i
\(795\) −25.4507 15.4058i −0.902642 0.546388i
\(796\) −2.25536 9.88138i −0.0799392 0.350236i
\(797\) 11.4165 29.0888i 0.404393 1.03038i −0.573114 0.819476i \(-0.694265\pi\)
0.977507 0.210902i \(-0.0676400\pi\)
\(798\) 1.46839 0.960866i 0.0519804 0.0340143i
\(799\) 3.41532 + 8.70208i 0.120825 + 0.307858i
\(800\) 3.84882 2.62408i 0.136076 0.0927753i
\(801\) −25.7656 19.1775i −0.910384 0.677603i
\(802\) −1.10296 1.91038i −0.0389468 0.0674578i
\(803\) −7.27362 12.5983i −0.256680 0.444583i
\(804\) −9.71042 14.8967i −0.342460 0.525366i
\(805\) 6.40879 43.0346i 0.225880 1.51677i
\(806\) −7.24661 + 2.23528i −0.255251 + 0.0787345i
\(807\) 5.38736 + 41.5710i 0.189644 + 1.46337i
\(808\) −11.7939 + 14.7891i −0.414909 + 0.520280i
\(809\) 39.4983 + 5.95340i 1.38868 + 0.209311i 0.800460 0.599387i \(-0.204589\pi\)
0.588225 + 0.808697i \(0.299827\pi\)
\(810\) 25.9529 + 10.4290i 0.911893 + 0.366437i
\(811\) −6.28556 + 27.5388i −0.220716 + 0.967019i 0.736225 + 0.676736i \(0.236606\pi\)
−0.956941 + 0.290282i \(0.906251\pi\)
\(812\) −1.86261 12.2114i −0.0653650 0.428537i
\(813\) 1.47273 2.90270i 0.0516508 0.101802i
\(814\) −13.2097 −0.462999
\(815\) −37.7038 + 65.3048i −1.32071 + 2.28753i
\(816\) 1.78334 3.51489i 0.0624292 0.123046i
\(817\) 0.246664 + 3.29150i 0.00862967 + 0.115155i
\(818\) −2.96961 + 3.72377i −0.103830 + 0.130199i
\(819\) −3.73688 + 19.5060i −0.130577 + 0.681594i
\(820\) 4.58866 + 5.75400i 0.160243 + 0.200938i
\(821\) 4.77521 4.43075i 0.166656 0.154634i −0.592436 0.805617i \(-0.701834\pi\)
0.759092 + 0.650983i \(0.225643\pi\)
\(822\) −28.0062 16.9527i −0.976829 0.591294i
\(823\) −29.4438 + 20.0744i −1.02635 + 0.699751i −0.954667 0.297677i \(-0.903788\pi\)
−0.0716795 + 0.997428i \(0.522836\pi\)
\(824\) −5.04469 + 6.32584i −0.175740 + 0.220371i
\(825\) −12.7831 44.7109i −0.445049 1.55663i
\(826\) 5.25206 35.2672i 0.182742 1.22710i
\(827\) −35.5901 17.1393i −1.23759 0.595992i −0.303432 0.952853i \(-0.598133\pi\)
−0.934157 + 0.356861i \(0.883847\pi\)
\(828\) −6.40698 + 14.5243i −0.222658 + 0.504754i
\(829\) −20.5518 + 6.33940i −0.713794 + 0.220176i −0.630322 0.776334i \(-0.717077\pi\)
−0.0834721 + 0.996510i \(0.526601\pi\)
\(830\) −18.5796 + 8.94745i −0.644906 + 0.310570i
\(831\) −12.7855 + 7.03254i −0.443523 + 0.243956i
\(832\) −1.25111 2.16698i −0.0433743 0.0751265i
\(833\) 15.9289 0.0562058i 0.551905 0.00194741i
\(834\) −7.02139 5.84145i −0.243131 0.202273i
\(835\) 24.2734 61.8477i 0.840016 2.14033i
\(836\) 1.82358 + 1.24329i 0.0630697 + 0.0430002i
\(837\) 14.9887 4.83151i 0.518084 0.167002i
\(838\) 0.714537 9.53483i 0.0246833 0.329375i
\(839\) 20.8370 14.2065i 0.719375 0.490461i −0.147453 0.989069i \(-0.547108\pi\)
0.866828 + 0.498608i \(0.166155\pi\)
\(840\) −10.2543 9.88293i −0.353807 0.340993i
\(841\) −5.95033 4.05686i −0.205184 0.139892i
\(842\) −14.8110 + 18.5724i −0.510421 + 0.640047i
\(843\) 2.38626 + 5.22965i 0.0821870 + 0.180119i
\(844\) −4.87068 6.10764i −0.167656 0.210234i
\(845\) −20.0126 6.17308i −0.688455 0.212360i
\(846\) −12.1001 2.34022i −0.416009 0.0804584i
\(847\) −33.0295 + 48.6294i −1.13491 + 1.67093i
\(848\) −2.01920 5.14483i −0.0693395 0.176674i
\(849\) 0.579297 + 1.26957i 0.0198814 + 0.0435716i
\(850\) −10.1293 3.12446i −0.347431 0.107168i
\(851\) 6.06389 10.5030i 0.207868 0.360037i
\(852\) −4.13924 3.44365i −0.141808 0.117977i
\(853\) −39.9368 12.3189i −1.36741 0.421790i −0.477784 0.878477i \(-0.658560\pi\)
−0.889627 + 0.456687i \(0.849036\pi\)
\(854\) −0.0195580 11.0857i −0.000669261 0.379344i
\(855\) 1.65547 + 3.16322i 0.0566158 + 0.108180i
\(856\) −10.6249 9.85844i −0.363151 0.336955i
\(857\) −3.94750 + 4.95001i −0.134844 + 0.169089i −0.844669 0.535289i \(-0.820203\pi\)
0.709825 + 0.704378i \(0.248774\pi\)
\(858\) −24.4628 + 5.05255i −0.835147 + 0.172491i
\(859\) −8.96267 + 39.2680i −0.305802 + 1.33981i 0.555416 + 0.831572i \(0.312559\pi\)
−0.861219 + 0.508235i \(0.830298\pi\)
\(860\) 25.5975 7.89577i 0.872866 0.269244i
\(861\) 6.92586 8.35478i 0.236033 0.284730i
\(862\) 5.82470 + 1.79668i 0.198390 + 0.0611952i
\(863\) 12.1963 21.1247i 0.415168 0.719093i −0.580278 0.814419i \(-0.697056\pi\)
0.995446 + 0.0953259i \(0.0303893\pi\)
\(864\) 2.65470 + 4.46683i 0.0903147 + 0.151965i
\(865\) 34.0227 31.5684i 1.15681 1.07336i
\(866\) −2.44516 32.6284i −0.0830900 1.10876i
\(867\) 20.0526 4.14166i 0.681023 0.140658i
\(868\) −7.99717 0.585119i −0.271442 0.0198602i
\(869\) 5.09434 12.9802i 0.172814 0.440322i
\(870\) 25.0949 1.35836i 0.850797 0.0460528i
\(871\) 16.0168 + 20.0845i 0.542710 + 0.680536i
\(872\) 0.0605666 + 0.808205i 0.00205104 + 0.0273693i
\(873\) −1.13073 33.8896i −0.0382693 1.14699i
\(874\) −1.82565 + 0.879188i −0.0617536 + 0.0297390i
\(875\) 1.57887 2.32457i 0.0533755 0.0785850i
\(876\) 2.53697 3.56024i 0.0857164 0.120289i
\(877\) 12.3606 5.95254i 0.417387 0.201003i −0.213390 0.976967i \(-0.568451\pi\)
0.630777 + 0.775964i \(0.282736\pi\)
\(878\) 17.9748 + 16.6782i 0.606619 + 0.562860i
\(879\) −1.45082 + 1.50004i −0.0489350 + 0.0505949i
\(880\) 6.54395 16.6737i 0.220597 0.562071i
\(881\) −30.3661 −1.02306 −0.511530 0.859266i \(-0.670921\pi\)
−0.511530 + 0.859266i \(0.670921\pi\)
\(882\) −11.1819 + 17.7754i −0.376514 + 0.598529i
\(883\) −37.4034 −1.25872 −0.629362 0.777112i \(-0.716684\pi\)
−0.629362 + 0.777112i \(0.716684\pi\)
\(884\) −2.08024 + 5.30038i −0.0699662 + 0.178271i
\(885\) 70.3744 + 17.6044i 2.36561 + 0.591765i
\(886\) −1.28429 1.19165i −0.0431467 0.0400343i
\(887\) −48.4260 + 23.3207i −1.62599 + 0.783033i −0.625991 + 0.779831i \(0.715305\pi\)
−0.999995 + 0.00320288i \(0.998980\pi\)
\(888\) −1.64791 3.61152i −0.0553003 0.121195i
\(889\) −5.30370 + 35.6140i −0.177880 + 1.19445i
\(890\) −29.9780 + 14.4366i −1.00486 + 0.483917i
\(891\) 50.6635 11.1329i 1.69729 0.372968i
\(892\) 2.15273 + 28.7262i 0.0720787 + 0.961824i
\(893\) −0.980834 1.22993i −0.0328224 0.0411580i
\(894\) 7.30215 + 11.2022i 0.244220 + 0.374657i
\(895\) 5.70955 14.5477i 0.190849 0.486276i
\(896\) −0.398944 2.61550i −0.0133278 0.0873777i
\(897\) 7.21238 21.7697i 0.240814 0.726869i
\(898\) −0.947020 12.6371i −0.0316025 0.421706i
\(899\) 10.3727 9.62448i 0.345950 0.320994i
\(900\) 10.6293 9.07259i 0.354308 0.302420i
\(901\) −6.28843 + 10.8919i −0.209498 + 0.362861i
\(902\) 13.0426 + 4.02311i 0.434271 + 0.133955i
\(903\) −19.0978 34.5760i −0.635534 1.15062i
\(904\) 18.7526 5.78442i 0.623703 0.192387i
\(905\) −0.666276 + 2.91914i −0.0221478 + 0.0970357i
\(906\) −10.7471 + 32.4387i −0.357047 + 1.07770i
\(907\) 28.7112 36.0028i 0.953341 1.19545i −0.0272975 0.999627i \(-0.508690\pi\)
0.980639 0.195825i \(-0.0627384\pi\)
\(908\) 7.57119 + 7.02503i 0.251259 + 0.233134i
\(909\) −30.3860 + 47.9273i −1.00784 + 1.58965i
\(910\) 16.1081 + 12.7994i 0.533980 + 0.424295i
\(911\) −0.596575 0.184019i −0.0197654 0.00609683i 0.284857 0.958570i \(-0.408054\pi\)
−0.304622 + 0.952473i \(0.598530\pi\)
\(912\) −0.112424 + 0.653666i −0.00372273 + 0.0216451i
\(913\) −19.1223 + 33.1208i −0.632855 + 1.09614i
\(914\) 21.6464 + 6.67702i 0.715999 + 0.220856i
\(915\) 22.4512 + 2.15116i 0.742212 + 0.0711151i
\(916\) 7.75617 + 19.7624i 0.256271 + 0.652968i
\(917\) −26.5992 28.5659i −0.878384 0.943329i
\(918\) 4.18054 11.0606i 0.137978 0.365053i
\(919\) 11.5346 + 3.55796i 0.380493 + 0.117366i 0.479101 0.877760i \(-0.340963\pi\)
−0.0986082 + 0.995126i \(0.531439\pi\)
\(920\) 10.2532 + 12.8572i 0.338039 + 0.423888i
\(921\) −13.8399 + 19.4220i −0.456039 + 0.639978i
\(922\) 22.5097 28.2262i 0.741316 0.929581i
\(923\) 6.42701 + 4.38186i 0.211547 + 0.144231i
\(924\) −26.0377 4.43094i −0.856579 0.145767i
\(925\) −8.82118 + 6.01418i −0.290039 + 0.197745i
\(926\) −0.742011 + 9.90145i −0.0243840 + 0.325382i
\(927\) −12.9972 + 20.5002i −0.426883 + 0.673316i
\(928\) 3.85760 + 2.63007i 0.126632 + 0.0863361i
\(929\) 3.59241 9.15331i 0.117863 0.300310i −0.859752 0.510712i \(-0.829382\pi\)
0.977615 + 0.210401i \(0.0674771\pi\)
\(930\) 2.76521 16.0778i 0.0906749 0.527212i
\(931\) −2.55866 + 0.799139i −0.0838566 + 0.0261907i
\(932\) 14.4382 + 25.0077i 0.472940 + 0.819156i
\(933\) −0.691840 + 33.3794i −0.0226498 + 1.09279i
\(934\) 34.0328 16.3893i 1.11359 0.536275i
\(935\) −38.9491 + 12.0142i −1.27377 + 0.392907i
\(936\) −4.43311 6.05782i −0.144901 0.198006i
\(937\) 34.9184 + 16.8158i 1.14074 + 0.549349i 0.906238 0.422767i \(-0.138941\pi\)
0.234497 + 0.972117i \(0.424656\pi\)
\(938\) 8.05211 + 25.9417i 0.262911 + 0.847027i
\(939\) 0.243541 0.251802i 0.00794765 0.00821725i
\(940\) −7.96011 + 9.98166i −0.259630 + 0.325566i
\(941\) −34.2211 + 23.3315i −1.11558 + 0.760586i −0.973367 0.229250i \(-0.926373\pi\)
−0.142208 + 0.989837i \(0.545420\pi\)
\(942\) −6.91389 + 3.80293i −0.225267 + 0.123906i
\(943\) −9.18596 + 8.52333i −0.299136 + 0.277558i
\(944\) 8.40261 + 10.5365i 0.273482 + 0.342935i
\(945\) −33.7835 26.1549i −1.09898 0.850820i
\(946\) 30.9746 38.8410i 1.00707 1.26283i
\(947\) −3.36013 44.8378i −0.109189 1.45703i −0.735535 0.677486i \(-0.763069\pi\)
0.626346 0.779545i \(-0.284550\pi\)
\(948\) 4.18429 0.226492i 0.135899 0.00735610i
\(949\) −3.15778 + 5.46943i −0.102506 + 0.177545i
\(950\) 1.78381 0.0578743
\(951\) 21.1364 + 32.4252i 0.685394 + 1.05146i
\(952\) −4.08726 + 4.42064i −0.132469 + 0.143274i
\(953\) −2.03910 + 8.93389i −0.0660530 + 0.289397i −0.997157 0.0753578i \(-0.975990\pi\)
0.931104 + 0.364755i \(0.118847\pi\)
\(954\) −7.68823 14.6904i −0.248916 0.475621i
\(955\) −22.6245 3.41009i −0.732111 0.110348i
\(956\) −14.5265 + 18.2157i −0.469822 + 0.589138i
\(957\) 37.0343 28.2985i 1.19715 0.914762i
\(958\) −38.4901 + 11.8726i −1.24356 + 0.383587i
\(959\) 34.0783 + 36.5979i 1.10044 + 1.18181i
\(960\) 5.37495 0.290941i 0.173476 0.00939007i
\(961\) 10.9073 + 18.8921i 0.351850 + 0.609422i
\(962\) 2.86743 + 4.96654i 0.0924497 + 0.160128i
\(963\) −34.8808 25.9619i −1.12402 0.836611i
\(964\) 2.33221 1.59008i 0.0751156 0.0512129i
\(965\) −14.1461 36.0436i −0.455379 1.16029i
\(966\) 15.4756 18.6685i 0.497921 0.600650i
\(967\) 11.3203 28.8437i 0.364037 0.927552i −0.625098 0.780546i \(-0.714941\pi\)
0.989136 0.147006i \(-0.0469637\pi\)
\(968\) −4.94418 21.6619i −0.158912 0.696238i
\(969\) 1.32246 0.727406i 0.0424834 0.0233677i
\(970\) −31.6479 15.2408i −1.01615 0.489354i
\(971\) −3.52266 8.97558i −0.113047 0.288040i 0.863142 0.504962i \(-0.168494\pi\)
−0.976189 + 0.216922i \(0.930398\pi\)
\(972\) 9.36404 + 12.4625i 0.300352 + 0.399736i
\(973\) 7.87965 + 11.5136i 0.252610 + 0.369110i
\(974\) −27.4697 + 18.7285i −0.880187 + 0.600101i
\(975\) −14.0355 + 14.5116i −0.449495 + 0.464743i
\(976\) 3.07148 + 2.84992i 0.0983158 + 0.0912237i
\(977\) 2.70547 36.1020i 0.0865556 1.15500i −0.769684 0.638425i \(-0.779586\pi\)
0.856240 0.516579i \(-0.172795\pi\)
\(978\) −36.8239 + 20.2547i −1.17750 + 0.647673i
\(979\) −30.8536 + 53.4401i −0.986087 + 1.70795i
\(980\) 10.9436 + 18.8014i 0.349581 + 0.600588i
\(981\) 0.442355 + 2.39084i 0.0141233 + 0.0763335i
\(982\) 24.0326 3.62234i 0.766912 0.115593i
\(983\) 24.6930 11.8915i 0.787585 0.379281i 0.00354694 0.999994i \(-0.498871\pi\)
0.784038 + 0.620713i \(0.213157\pi\)
\(984\) 0.527154 + 4.06772i 0.0168051 + 0.129674i
\(985\) −63.2498 + 30.4595i −2.01531 + 0.970520i
\(986\) −0.793960 10.5947i −0.0252848 0.337403i
\(987\) 16.8034 + 8.48824i 0.534859 + 0.270184i
\(988\) 0.0716053 0.955507i 0.00227807 0.0303987i
\(989\) 16.6635 + 42.4578i 0.529867 + 1.35008i
\(990\) 14.1178 51.8480i 0.448693 1.64784i
\(991\) 14.7638 37.6177i 0.468989 1.19496i −0.479327 0.877637i \(-0.659119\pi\)
0.948316 0.317328i \(-0.102786\pi\)
\(992\) 2.22168 2.06142i 0.0705384 0.0654501i
\(993\) −45.6845 27.6537i −1.44975 0.877565i
\(994\) 4.64521 + 6.78751i 0.147337 + 0.215287i
\(995\) −31.1470 4.69466i −0.987426 0.148831i
\(996\) −11.4407 1.09619i −0.362513 0.0347342i
\(997\) 4.23069 + 18.5359i 0.133987 + 0.587037i 0.996688 + 0.0813219i \(0.0259142\pi\)
−0.862701 + 0.505715i \(0.831229\pi\)
\(998\) −18.3716 31.8206i −0.581544 1.00726i
\(999\) −6.08435 10.2376i −0.192500 0.323904i
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 882.2.y.b.583.12 336
9.4 even 3 882.2.bb.a.877.1 yes 336
49.39 even 21 882.2.bb.a.529.1 yes 336
441.382 even 21 inner 882.2.y.b.823.12 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.b.583.12 336 1.1 even 1 trivial
882.2.y.b.823.12 yes 336 441.382 even 21 inner
882.2.bb.a.529.1 yes 336 49.39 even 21
882.2.bb.a.877.1 yes 336 9.4 even 3