Properties

Label 490.2.w.a.353.6
Level $490$
Weight $2$
Character 490.353
Analytic conductor $3.913$
Analytic rank $0$
Dimension $672$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [490,2,Mod(3,490)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(490, base_ring=CyclotomicField(84))
 
chi = DirichletCharacter(H, H._module([63, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("490.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 490.w (of order \(84\), degree \(24\), 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: \(3.91266969904\)
Analytic rank: \(0\)
Dimension: \(672\)
Relative dimension: \(28\) over \(\Q(\zeta_{84})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label 353.6
Character \(\chi\) \(=\) 490.353
Dual form 490.2.w.a.397.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.804598 + 0.593820i) q^{2} +(-0.162479 + 0.858720i) q^{3} +(0.294755 - 0.955573i) q^{4} +(2.21896 - 0.276106i) q^{5} +(-0.379195 - 0.787408i) q^{6} +(0.601908 - 2.57637i) q^{7} +(0.330279 + 0.943883i) q^{8} +(2.08162 + 0.816976i) q^{9} +O(q^{10})\) \(q+(-0.804598 + 0.593820i) q^{2} +(-0.162479 + 0.858720i) q^{3} +(0.294755 - 0.955573i) q^{4} +(2.21896 - 0.276106i) q^{5} +(-0.379195 - 0.787408i) q^{6} +(0.601908 - 2.57637i) q^{7} +(0.330279 + 0.943883i) q^{8} +(2.08162 + 0.816976i) q^{9} +(-1.62141 + 1.53982i) q^{10} +(-2.11322 - 5.38440i) q^{11} +(0.772678 + 0.408372i) q^{12} +(0.0911017 + 0.808550i) q^{13} +(1.04561 + 2.43037i) q^{14} +(-0.123435 + 1.95032i) q^{15} +(-0.826239 - 0.563320i) q^{16} +(-0.128345 - 3.43010i) q^{17} +(-2.16000 + 0.578771i) q^{18} +(-3.76383 - 6.51914i) q^{19} +(0.390209 - 2.20176i) q^{20} +(2.11459 + 0.935477i) q^{21} +(4.89766 + 3.07740i) q^{22} +(-0.579741 - 0.0216924i) q^{23} +(-0.864195 + 0.130256i) q^{24} +(4.84753 - 1.22534i) q^{25} +(-0.553434 - 0.596460i) q^{26} +(-2.43469 + 3.87479i) q^{27} +(-2.28450 - 1.33457i) q^{28} +(0.638402 + 0.145711i) q^{29} +(-1.05883 - 1.64252i) q^{30} +(4.49880 + 2.59739i) q^{31} +(0.999301 - 0.0373912i) q^{32} +(4.96704 - 0.939816i) q^{33} +(2.14013 + 2.68364i) q^{34} +(0.624254 - 5.88305i) q^{35} +(1.39425 - 1.74833i) q^{36} +(-4.66396 + 8.82463i) q^{37} +(6.89957 + 3.01025i) q^{38} +(-0.709121 - 0.0531412i) q^{39} +(0.993487 + 2.00324i) q^{40} +(1.30896 - 2.71808i) q^{41} +(-2.25690 + 0.503003i) q^{42} +(8.71408 + 3.04919i) q^{43} +(-5.76807 + 0.432257i) q^{44} +(4.84460 + 1.23808i) q^{45} +(0.479340 - 0.326808i) q^{46} +(5.19124 + 7.03388i) q^{47} +(0.617981 - 0.617981i) q^{48} +(-6.27541 - 3.10148i) q^{49} +(-3.17268 + 3.86446i) q^{50} +(2.96635 + 0.447106i) q^{51} +(0.799481 + 0.151270i) q^{52} +(0.271301 + 0.513327i) q^{53} +(-0.341981 - 4.56341i) q^{54} +(-6.17581 - 11.3643i) q^{55} +(2.63059 - 0.282792i) q^{56} +(6.20966 - 2.17286i) q^{57} +(-0.600183 + 0.261857i) q^{58} +(0.490474 - 6.54493i) q^{59} +(1.82729 + 0.692819i) q^{60} +(3.33729 + 10.8192i) q^{61} +(-5.16211 + 0.581630i) q^{62} +(3.35778 - 4.87129i) q^{63} +(-0.781831 + 0.623490i) q^{64} +(0.425397 + 1.76898i) q^{65} +(-3.43839 + 3.70570i) q^{66} +(2.33065 + 8.69810i) q^{67} +(-3.31554 - 0.888398i) q^{68} +(0.112823 - 0.494311i) q^{69} +(2.99120 + 5.10419i) q^{70} +(-1.12227 - 4.91697i) q^{71} +(-0.0836142 + 2.23464i) q^{72} +(-0.801991 + 1.08666i) q^{73} +(-1.48764 - 9.86983i) q^{74} +(0.264600 + 4.36176i) q^{75} +(-7.33893 + 1.67506i) q^{76} +(-15.1442 + 2.20353i) q^{77} +(0.602113 - 0.378333i) q^{78} +(7.93870 - 4.58341i) q^{79} +(-1.98892 - 1.02185i) q^{80} +(1.98598 + 1.84272i) q^{81} +(0.560866 + 2.96425i) q^{82} +(-8.96901 - 1.01056i) q^{83} +(1.51720 - 1.74491i) q^{84} +(-1.23187 - 7.57581i) q^{85} +(-8.82200 + 2.72123i) q^{86} +(-0.228852 + 0.524534i) q^{87} +(4.38429 - 3.77299i) q^{88} +(-5.80089 + 14.7804i) q^{89} +(-4.63315 + 1.88066i) q^{90} +(2.13796 + 0.251961i) q^{91} +(-0.191610 + 0.547591i) q^{92} +(-2.96139 + 3.44119i) q^{93} +(-8.35372 - 2.57678i) q^{94} +(-10.1517 - 13.4265i) q^{95} +(-0.130256 + 0.864195i) q^{96} +(2.71061 + 2.71061i) q^{97} +(6.89091 - 1.23102i) q^{98} -12.9347i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 672 q + 12 q^{5} - 28 q^{6} - 8 q^{7} + 12 q^{10} + 4 q^{11} - 44 q^{15} - 56 q^{16} + 8 q^{17} + 28 q^{21} + 20 q^{22} + 4 q^{23} - 4 q^{25} + 16 q^{26} - 4 q^{28} - 12 q^{30} - 24 q^{31} - 48 q^{33} - 8 q^{35} + 92 q^{36} - 12 q^{37} - 24 q^{38} - 112 q^{41} + 76 q^{42} + 24 q^{43} - 100 q^{45} - 160 q^{46} + 72 q^{47} + 32 q^{50} - 208 q^{51} + 160 q^{53} - 84 q^{55} - 52 q^{56} - 92 q^{57} + 128 q^{58} - 212 q^{61} + 36 q^{63} - 16 q^{67} + 36 q^{68} - 16 q^{70} - 16 q^{71} + 12 q^{73} + 132 q^{75} - 16 q^{77} + 80 q^{78} + 12 q^{80} - 36 q^{81} + 48 q^{82} - 308 q^{83} - 40 q^{85} - 4 q^{86} + 52 q^{87} - 4 q^{88} + 84 q^{90} - 124 q^{91} - 8 q^{92} - 536 q^{93} - 28 q^{95} - 12 q^{96} - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(197\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.804598 + 0.593820i −0.568937 + 0.419894i
\(3\) −0.162479 + 0.858720i −0.0938071 + 0.495782i 0.903879 + 0.427789i \(0.140707\pi\)
−0.997686 + 0.0679935i \(0.978340\pi\)
\(4\) 0.294755 0.955573i 0.147378 0.477786i
\(5\) 2.21896 0.276106i 0.992347 0.123479i
\(6\) −0.379195 0.787408i −0.154806 0.321458i
\(7\) 0.601908 2.57637i 0.227500 0.973778i
\(8\) 0.330279 + 0.943883i 0.116771 + 0.333713i
\(9\) 2.08162 + 0.816976i 0.693873 + 0.272325i
\(10\) −1.62141 + 1.53982i −0.512735 + 0.486932i
\(11\) −2.11322 5.38440i −0.637160 1.62346i −0.774236 0.632896i \(-0.781866\pi\)
0.137077 0.990560i \(-0.456229\pi\)
\(12\) 0.772678 + 0.408372i 0.223053 + 0.117887i
\(13\) 0.0911017 + 0.808550i 0.0252671 + 0.224252i 1.00000 0.000876313i \(0.000278939\pi\)
−0.974733 + 0.223375i \(0.928292\pi\)
\(14\) 1.04561 + 2.43037i 0.279451 + 0.649544i
\(15\) −0.123435 + 1.95032i −0.0318707 + 0.503571i
\(16\) −0.826239 0.563320i −0.206560 0.140830i
\(17\) −0.128345 3.43010i −0.0311283 0.831922i −0.924177 0.381963i \(-0.875248\pi\)
0.893049 0.449959i \(-0.148561\pi\)
\(18\) −2.16000 + 0.578771i −0.509118 + 0.136418i
\(19\) −3.76383 6.51914i −0.863482 1.49559i −0.868547 0.495607i \(-0.834946\pi\)
0.00506512 0.999987i \(-0.498388\pi\)
\(20\) 0.390209 2.20176i 0.0872534 0.492328i
\(21\) 2.11459 + 0.935477i 0.461441 + 0.204138i
\(22\) 4.89766 + 3.07740i 1.04418 + 0.656104i
\(23\) −0.579741 0.0216924i −0.120884 0.00452317i −0.0231194 0.999733i \(-0.507360\pi\)
−0.0977649 + 0.995210i \(0.531169\pi\)
\(24\) −0.864195 + 0.130256i −0.176403 + 0.0265885i
\(25\) 4.84753 1.22534i 0.969506 0.245067i
\(26\) −0.553434 0.596460i −0.108537 0.116975i
\(27\) −2.43469 + 3.87479i −0.468556 + 0.745703i
\(28\) −2.28450 1.33457i −0.431730 0.252209i
\(29\) 0.638402 + 0.145711i 0.118548 + 0.0270579i 0.281383 0.959595i \(-0.409207\pi\)
−0.162835 + 0.986653i \(0.552064\pi\)
\(30\) −1.05883 1.64252i −0.193314 0.299883i
\(31\) 4.49880 + 2.59739i 0.808009 + 0.466504i 0.846264 0.532764i \(-0.178847\pi\)
−0.0382549 + 0.999268i \(0.512180\pi\)
\(32\) 0.999301 0.0373912i 0.176653 0.00660989i
\(33\) 4.96704 0.939816i 0.864651 0.163601i
\(34\) 2.14013 + 2.68364i 0.367030 + 0.460240i
\(35\) 0.624254 5.88305i 0.105518 0.994417i
\(36\) 1.39425 1.74833i 0.232375 0.291389i
\(37\) −4.66396 + 8.82463i −0.766750 + 1.45076i 0.122079 + 0.992520i \(0.461044\pi\)
−0.888828 + 0.458241i \(0.848480\pi\)
\(38\) 6.89957 + 3.01025i 1.11926 + 0.488327i
\(39\) −0.709121 0.0531412i −0.113550 0.00850941i
\(40\) 0.993487 + 2.00324i 0.157084 + 0.316741i
\(41\) 1.30896 2.71808i 0.204425 0.424493i −0.773399 0.633919i \(-0.781445\pi\)
0.977825 + 0.209426i \(0.0671595\pi\)
\(42\) −2.25690 + 0.503003i −0.348247 + 0.0776150i
\(43\) 8.71408 + 3.04919i 1.32889 + 0.464997i 0.899025 0.437898i \(-0.144277\pi\)
0.429861 + 0.902895i \(0.358563\pi\)
\(44\) −5.76807 + 0.432257i −0.869569 + 0.0651652i
\(45\) 4.84460 + 1.23808i 0.722190 + 0.184563i
\(46\) 0.479340 0.326808i 0.0706748 0.0481852i
\(47\) 5.19124 + 7.03388i 0.757220 + 1.02600i 0.998457 + 0.0555305i \(0.0176850\pi\)
−0.241237 + 0.970466i \(0.577553\pi\)
\(48\) 0.617981 0.617981i 0.0891978 0.0891978i
\(49\) −6.27541 3.10148i −0.896488 0.443069i
\(50\) −3.17268 + 3.86446i −0.448685 + 0.546518i
\(51\) 2.96635 + 0.447106i 0.415373 + 0.0626073i
\(52\) 0.799481 + 0.151270i 0.110868 + 0.0209774i
\(53\) 0.271301 + 0.513327i 0.0372661 + 0.0705109i 0.902045 0.431642i \(-0.142065\pi\)
−0.864779 + 0.502152i \(0.832542\pi\)
\(54\) −0.341981 4.56341i −0.0465377 0.621002i
\(55\) −6.17581 11.3643i −0.832746 1.53236i
\(56\) 2.63059 0.282792i 0.351528 0.0377896i
\(57\) 6.20966 2.17286i 0.822490 0.287802i
\(58\) −0.600183 + 0.261857i −0.0788079 + 0.0343836i
\(59\) 0.490474 6.54493i 0.0638543 0.852077i −0.869686 0.493605i \(-0.835679\pi\)
0.933541 0.358472i \(-0.116702\pi\)
\(60\) 1.82729 + 0.692819i 0.235903 + 0.0894425i
\(61\) 3.33729 + 10.8192i 0.427296 + 1.38526i 0.871966 + 0.489566i \(0.162845\pi\)
−0.444670 + 0.895695i \(0.646679\pi\)
\(62\) −5.16211 + 0.581630i −0.655588 + 0.0738671i
\(63\) 3.35778 4.87129i 0.423040 0.613725i
\(64\) −0.781831 + 0.623490i −0.0977289 + 0.0779362i
\(65\) 0.425397 + 1.76898i 0.0527640 + 0.219415i
\(66\) −3.43839 + 3.70570i −0.423237 + 0.456141i
\(67\) 2.33065 + 8.69810i 0.284734 + 1.06264i 0.949033 + 0.315175i \(0.102063\pi\)
−0.664299 + 0.747467i \(0.731270\pi\)
\(68\) −3.31554 0.888398i −0.402069 0.107734i
\(69\) 0.112823 0.494311i 0.0135823 0.0595080i
\(70\) 2.99120 + 5.10419i 0.357517 + 0.610067i
\(71\) −1.12227 4.91697i −0.133189 0.583538i −0.996839 0.0794465i \(-0.974685\pi\)
0.863650 0.504091i \(-0.168172\pi\)
\(72\) −0.0836142 + 2.23464i −0.00985403 + 0.263354i
\(73\) −0.801991 + 1.08666i −0.0938659 + 0.127184i −0.849014 0.528371i \(-0.822803\pi\)
0.755148 + 0.655554i \(0.227565\pi\)
\(74\) −1.48764 9.86983i −0.172934 1.14734i
\(75\) 0.264600 + 4.36176i 0.0305534 + 0.503653i
\(76\) −7.33893 + 1.67506i −0.841832 + 0.192143i
\(77\) −15.1442 + 2.20353i −1.72584 + 0.251116i
\(78\) 0.602113 0.378333i 0.0681759 0.0428378i
\(79\) 7.93870 4.58341i 0.893174 0.515674i 0.0181946 0.999834i \(-0.494208\pi\)
0.874979 + 0.484160i \(0.160875\pi\)
\(80\) −1.98892 1.02185i −0.222368 0.114247i
\(81\) 1.98598 + 1.84272i 0.220664 + 0.204746i
\(82\) 0.560866 + 2.96425i 0.0619373 + 0.327347i
\(83\) −8.96901 1.01056i −0.984476 0.110924i −0.394976 0.918692i \(-0.629247\pi\)
−0.589501 + 0.807768i \(0.700676\pi\)
\(84\) 1.51720 1.74491i 0.165540 0.190385i
\(85\) −1.23187 7.57581i −0.133615 0.821712i
\(86\) −8.82200 + 2.72123i −0.951301 + 0.293437i
\(87\) −0.228852 + 0.524534i −0.0245355 + 0.0562360i
\(88\) 4.38429 3.77299i 0.467367 0.402202i
\(89\) −5.80089 + 14.7804i −0.614893 + 1.56672i 0.195418 + 0.980720i \(0.437394\pi\)
−0.810310 + 0.586001i \(0.800702\pi\)
\(90\) −4.63315 + 1.88066i −0.488377 + 0.198239i
\(91\) 2.13796 + 0.251961i 0.224119 + 0.0264127i
\(92\) −0.191610 + 0.547591i −0.0199768 + 0.0570903i
\(93\) −2.96139 + 3.44119i −0.307082 + 0.356835i
\(94\) −8.35372 2.57678i −0.861620 0.265775i
\(95\) −10.1517 13.4265i −1.04155 1.37753i
\(96\) −0.130256 + 0.864195i −0.0132942 + 0.0882015i
\(97\) 2.71061 + 2.71061i 0.275221 + 0.275221i 0.831198 0.555977i \(-0.187656\pi\)
−0.555977 + 0.831198i \(0.687656\pi\)
\(98\) 6.89091 1.23102i 0.696087 0.124352i
\(99\) 12.9347i 1.29999i
\(100\) 0.257937 4.99334i 0.0257937 0.499334i
\(101\) −8.88710 13.0350i −0.884299 1.29703i −0.954106 0.299468i \(-0.903191\pi\)
0.0698068 0.997561i \(-0.477762\pi\)
\(102\) −2.65222 + 1.40174i −0.262609 + 0.138793i
\(103\) −4.64051 3.99348i −0.457243 0.393490i 0.393287 0.919416i \(-0.371338\pi\)
−0.850530 + 0.525926i \(0.823719\pi\)
\(104\) −0.733088 + 0.353037i −0.0718852 + 0.0346181i
\(105\) 4.95047 + 1.49193i 0.483116 + 0.145597i
\(106\) −0.523112 0.251918i −0.0508092 0.0244684i
\(107\) 0.0482072 + 0.110492i 0.00466037 + 0.0106817i 0.918877 0.394544i \(-0.129098\pi\)
−0.914217 + 0.405226i \(0.867193\pi\)
\(108\) 2.98500 + 3.46864i 0.287232 + 0.333770i
\(109\) 5.79198 2.27318i 0.554771 0.217731i −0.0713585 0.997451i \(-0.522733\pi\)
0.626129 + 0.779719i \(0.284638\pi\)
\(110\) 11.7174 + 5.47634i 1.11721 + 0.522149i
\(111\) −6.82010 5.43885i −0.647335 0.516233i
\(112\) −1.94864 + 1.78963i −0.184129 + 0.169104i
\(113\) −0.244083 + 2.16630i −0.0229614 + 0.203788i −0.999955 0.00948021i \(-0.996982\pi\)
0.976994 + 0.213268i \(0.0684109\pi\)
\(114\) −3.70600 + 5.43570i −0.347098 + 0.509100i
\(115\) −1.29241 + 0.111936i −0.120518 + 0.0104381i
\(116\) 0.327410 0.567091i 0.0303993 0.0526531i
\(117\) −0.470927 + 1.75752i −0.0435372 + 0.162483i
\(118\) 3.49188 + 5.55729i 0.321453 + 0.511590i
\(119\) −8.91449 1.73394i −0.817190 0.158950i
\(120\) −1.88165 + 0.527643i −0.171770 + 0.0481670i
\(121\) −16.4625 + 15.2749i −1.49659 + 1.38863i
\(122\) −9.10985 6.72338i −0.824767 0.608706i
\(123\) 2.12139 + 1.56566i 0.191280 + 0.141171i
\(124\) 3.80804 3.53334i 0.341972 0.317303i
\(125\) 10.4181 4.05740i 0.931826 0.362905i
\(126\) 0.191008 + 5.91335i 0.0170163 + 0.526803i
\(127\) 8.92968 + 14.2115i 0.792381 + 1.26107i 0.961318 + 0.275440i \(0.0888235\pi\)
−0.168938 + 0.985627i \(0.554034\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) −4.03425 + 6.98753i −0.355196 + 0.615218i
\(130\) −1.39273 1.17071i −0.122151 0.102678i
\(131\) −11.7586 + 17.2466i −1.02735 + 1.50685i −0.174523 + 0.984653i \(0.555838\pi\)
−0.852827 + 0.522193i \(0.825114\pi\)
\(132\) 0.566000 5.02339i 0.0492640 0.437230i
\(133\) −19.0612 + 5.77311i −1.65282 + 0.500592i
\(134\) −7.04034 5.61449i −0.608193 0.485018i
\(135\) −4.33262 + 9.27022i −0.372892 + 0.797853i
\(136\) 3.19523 1.25403i 0.273989 0.107533i
\(137\) −5.27935 6.13471i −0.451045 0.524124i 0.485705 0.874123i \(-0.338563\pi\)
−0.936750 + 0.349999i \(0.886182\pi\)
\(138\) 0.202754 + 0.464718i 0.0172596 + 0.0395594i
\(139\) −0.713012 0.343369i −0.0604769 0.0291241i 0.403401 0.915023i \(-0.367828\pi\)
−0.463878 + 0.885899i \(0.653542\pi\)
\(140\) −5.43768 2.33058i −0.459568 0.196970i
\(141\) −6.88360 + 3.31497i −0.579704 + 0.279171i
\(142\) 3.82277 + 3.28976i 0.320800 + 0.276071i
\(143\) 4.16104 2.19917i 0.347963 0.183904i
\(144\) −1.25970 1.84764i −0.104975 0.153970i
\(145\) 1.45682 + 0.147060i 0.120982 + 0.0122126i
\(146\) 1.35056i 0.111773i
\(147\) 3.68293 4.88490i 0.303763 0.402900i
\(148\) 7.05786 + 7.05786i 0.580152 + 0.580152i
\(149\) 1.06422 7.06064i 0.0871843 0.578430i −0.901998 0.431740i \(-0.857900\pi\)
0.989182 0.146690i \(-0.0468620\pi\)
\(150\) −2.80300 3.35234i −0.228864 0.273717i
\(151\) 7.76038 + 2.39376i 0.631531 + 0.194801i 0.593963 0.804493i \(-0.297563\pi\)
0.0375681 + 0.999294i \(0.488039\pi\)
\(152\) 4.91020 5.70575i 0.398270 0.462798i
\(153\) 2.53515 7.24503i 0.204954 0.585726i
\(154\) 10.8765 10.7659i 0.876452 0.867540i
\(155\) 10.6998 + 4.52134i 0.859429 + 0.363162i
\(156\) −0.259797 + 0.661953i −0.0208004 + 0.0529986i
\(157\) 1.08159 0.930782i 0.0863201 0.0742845i −0.608069 0.793884i \(-0.708056\pi\)
0.694389 + 0.719600i \(0.255675\pi\)
\(158\) −3.66574 + 8.40197i −0.291631 + 0.668425i
\(159\) −0.484885 + 0.149567i −0.0384539 + 0.0118615i
\(160\) 2.20708 0.358883i 0.174485 0.0283722i
\(161\) −0.404838 + 1.48057i −0.0319057 + 0.116685i
\(162\) −2.69216 0.303333i −0.211516 0.0238321i
\(163\) −2.99820 15.8459i −0.234837 1.24114i −0.879211 0.476433i \(-0.841929\pi\)
0.644373 0.764711i \(-0.277118\pi\)
\(164\) −2.21150 2.05198i −0.172689 0.160232i
\(165\) 10.7622 3.45684i 0.837833 0.269115i
\(166\) 7.81654 4.51288i 0.606681 0.350267i
\(167\) −11.3481 + 7.13045i −0.878139 + 0.551771i −0.893982 0.448103i \(-0.852100\pi\)
0.0158430 + 0.999874i \(0.494957\pi\)
\(168\) −0.184577 + 2.30489i −0.0142404 + 0.177826i
\(169\) 12.0286 2.74545i 0.925278 0.211189i
\(170\) 5.48983 + 5.36398i 0.421051 + 0.411398i
\(171\) −2.50888 16.6453i −0.191859 1.27290i
\(172\) 5.48224 7.42818i 0.418017 0.566393i
\(173\) 0.344683 9.21185i 0.0262058 0.700364i −0.922832 0.385202i \(-0.874132\pi\)
0.949038 0.315162i \(-0.102059\pi\)
\(174\) −0.127345 0.557936i −0.00965402 0.0422970i
\(175\) −0.239156 13.2266i −0.0180785 0.999837i
\(176\) −1.28711 + 5.63922i −0.0970199 + 0.425072i
\(177\) 5.54057 + 1.48459i 0.416455 + 0.111589i
\(178\) −4.10953 15.3370i −0.308022 1.14955i
\(179\) −6.02431 + 6.49266i −0.450278 + 0.485284i −0.916869 0.399189i \(-0.869292\pi\)
0.466591 + 0.884473i \(0.345482\pi\)
\(180\) 2.61105 4.26443i 0.194616 0.317852i
\(181\) 6.00237 4.78673i 0.446153 0.355795i −0.374495 0.927229i \(-0.622184\pi\)
0.820648 + 0.571434i \(0.193613\pi\)
\(182\) −1.86982 + 1.06684i −0.138600 + 0.0790793i
\(183\) −9.83293 + 1.10791i −0.726871 + 0.0818987i
\(184\) −0.171001 0.554372i −0.0126064 0.0408689i
\(185\) −7.91257 + 20.8692i −0.581744 + 1.53434i
\(186\) 0.339275 4.52731i 0.0248768 0.331958i
\(187\) −18.1978 + 7.93963i −1.33076 + 0.580603i
\(188\) 8.25153 2.88733i 0.601805 0.210581i
\(189\) 8.51745 + 8.60494i 0.619553 + 0.625917i
\(190\) 16.1410 + 4.77460i 1.17099 + 0.346386i
\(191\) 1.54070 + 20.5593i 0.111481 + 1.48762i 0.719943 + 0.694033i \(0.244168\pi\)
−0.608462 + 0.793583i \(0.708213\pi\)
\(192\) −0.408372 0.772678i −0.0294717 0.0557633i
\(193\) 18.0457 + 3.41442i 1.29895 + 0.245775i 0.788983 0.614416i \(-0.210608\pi\)
0.509972 + 0.860191i \(0.329656\pi\)
\(194\) −3.79057 0.571336i −0.272147 0.0410196i
\(195\) −1.58818 + 0.0778746i −0.113732 + 0.00557672i
\(196\) −4.81340 + 5.08244i −0.343814 + 0.363031i
\(197\) 7.53218 7.53218i 0.536646 0.536646i −0.385897 0.922542i \(-0.626108\pi\)
0.922542 + 0.385897i \(0.126108\pi\)
\(198\) 7.68090 + 10.4072i 0.545858 + 0.739611i
\(199\) −7.77601 + 5.30160i −0.551227 + 0.375820i −0.806668 0.591004i \(-0.798732\pi\)
0.255441 + 0.966825i \(0.417779\pi\)
\(200\) 2.75761 + 4.17080i 0.194993 + 0.294920i
\(201\) −7.84792 + 0.588120i −0.553549 + 0.0414828i
\(202\) 14.8910 + 5.21058i 1.04773 + 0.366615i
\(203\) 0.759666 1.55706i 0.0533181 0.109284i
\(204\) 1.30159 2.70278i 0.0911295 0.189232i
\(205\) 2.15404 6.39272i 0.150445 0.446487i
\(206\) 6.10516 + 0.457518i 0.425366 + 0.0318768i
\(207\) −1.18908 0.518789i −0.0826466 0.0360584i
\(208\) 0.380201 0.719375i 0.0263622 0.0498797i
\(209\) −27.1479 + 34.0423i −1.87786 + 2.35476i
\(210\) −4.86907 + 1.73928i −0.335998 + 0.120022i
\(211\) 5.56301 + 6.97579i 0.382973 + 0.480233i 0.935533 0.353240i \(-0.114920\pi\)
−0.552559 + 0.833474i \(0.686349\pi\)
\(212\) 0.570489 0.107942i 0.0391813 0.00741351i
\(213\) 4.40465 0.164810i 0.301802 0.0112926i
\(214\) −0.104400 0.0602753i −0.00713663 0.00412033i
\(215\) 20.1781 + 4.36000i 1.37613 + 0.297350i
\(216\) −4.46148 1.01830i −0.303565 0.0692867i
\(217\) 9.39971 10.0272i 0.638094 0.680692i
\(218\) −3.31035 + 5.26839i −0.224205 + 0.356820i
\(219\) −0.802830 0.865245i −0.0542502 0.0584678i
\(220\) −12.6797 + 2.55176i −0.854868 + 0.172040i
\(221\) 2.76172 0.416262i 0.185773 0.0280008i
\(222\) 8.71713 + 0.326172i 0.585056 + 0.0218912i
\(223\) −15.4814 9.72761i −1.03671 0.651409i −0.0976722 0.995219i \(-0.531140\pi\)
−0.939039 + 0.343810i \(0.888283\pi\)
\(224\) 0.505154 2.59708i 0.0337520 0.173525i
\(225\) 11.0918 + 1.40963i 0.739452 + 0.0939754i
\(226\) −1.09000 1.88794i −0.0725059 0.125584i
\(227\) −4.88675 + 1.30940i −0.324345 + 0.0869080i −0.417318 0.908761i \(-0.637030\pi\)
0.0929726 + 0.995669i \(0.470363\pi\)
\(228\) −0.245991 6.57425i −0.0162911 0.435390i
\(229\) 11.0260 + 7.51737i 0.728616 + 0.496762i 0.869913 0.493205i \(-0.164175\pi\)
−0.141297 + 0.989967i \(0.545127\pi\)
\(230\) 0.973400 0.857522i 0.0641841 0.0565433i
\(231\) 0.568388 13.3627i 0.0373972 0.879198i
\(232\) 0.0733166 + 0.650703i 0.00481347 + 0.0427207i
\(233\) 13.2909 + 7.02445i 0.870716 + 0.460187i 0.842048 0.539402i \(-0.181350\pi\)
0.0286676 + 0.999589i \(0.490874\pi\)
\(234\) −0.664746 1.69374i −0.0434558 0.110724i
\(235\) 13.4612 + 14.1745i 0.878114 + 0.924645i
\(236\) −6.10958 2.39784i −0.397700 0.156086i
\(237\) 2.64600 + 7.56183i 0.171876 + 0.491194i
\(238\) 8.20223 3.89848i 0.531671 0.252701i
\(239\) −13.2782 27.5725i −0.858897 1.78352i −0.557940 0.829881i \(-0.688408\pi\)
−0.300958 0.953637i \(-0.597306\pi\)
\(240\) 1.20064 1.54190i 0.0775012 0.0995292i
\(241\) 1.70811 5.53756i 0.110029 0.356705i −0.883766 0.467928i \(-0.845001\pi\)
0.993795 + 0.111223i \(0.0354768\pi\)
\(242\) 4.17510 22.0659i 0.268385 1.41845i
\(243\) −12.9511 + 9.55834i −0.830813 + 0.613168i
\(244\) 11.3222 0.724833
\(245\) −14.7812 5.14937i −0.944336 0.328981i
\(246\) −2.63659 −0.168103
\(247\) 4.92816 3.63715i 0.313572 0.231426i
\(248\) −0.965768 + 5.10421i −0.0613264 + 0.324118i
\(249\) 2.32506 7.53767i 0.147345 0.477681i
\(250\) −5.97304 + 9.45107i −0.377768 + 0.597738i
\(251\) 2.80415 + 5.82288i 0.176997 + 0.367537i 0.970527 0.240994i \(-0.0774734\pi\)
−0.793530 + 0.608531i \(0.791759\pi\)
\(252\) −3.66515 4.64444i −0.230883 0.292572i
\(253\) 1.10832 + 3.16740i 0.0696795 + 0.199132i
\(254\) −15.6239 6.13192i −0.980329 0.384751i
\(255\) 6.70566 + 0.173079i 0.419924 + 0.0108386i
\(256\) 0.365341 + 0.930874i 0.0228338 + 0.0581796i
\(257\) −2.24636 1.18723i −0.140124 0.0740577i 0.395737 0.918364i \(-0.370489\pi\)
−0.535861 + 0.844306i \(0.680013\pi\)
\(258\) −0.903386 8.01777i −0.0562424 0.499165i
\(259\) 19.9283 + 17.3277i 1.23828 + 1.07669i
\(260\) 1.81578 + 0.114920i 0.112610 + 0.00712701i
\(261\) 1.20987 + 0.824875i 0.0748890 + 0.0510584i
\(262\) −0.780492 20.8591i −0.0482189 1.28868i
\(263\) 28.4237 7.61611i 1.75268 0.469630i 0.767486 0.641066i \(-0.221507\pi\)
0.985195 + 0.171436i \(0.0548407\pi\)
\(264\) 2.52759 + 4.37791i 0.155562 + 0.269442i
\(265\) 0.743738 + 1.06414i 0.0456875 + 0.0653697i
\(266\) 11.9084 15.9640i 0.730153 0.978814i
\(267\) −11.7497 7.38284i −0.719071 0.451822i
\(268\) 8.99864 + 0.336705i 0.549679 + 0.0205676i
\(269\) 5.79905 0.874067i 0.353575 0.0532928i 0.0301463 0.999545i \(-0.490403\pi\)
0.323428 + 0.946253i \(0.395165\pi\)
\(270\) −2.01883 10.0316i −0.122862 0.610503i
\(271\) 15.0137 + 16.1809i 0.912016 + 0.982920i 0.999913 0.0132100i \(-0.00420498\pi\)
−0.0878966 + 0.996130i \(0.528015\pi\)
\(272\) −1.82620 + 2.90638i −0.110730 + 0.176225i
\(273\) −0.563737 + 1.79497i −0.0341189 + 0.108637i
\(274\) 7.89067 + 1.80099i 0.476693 + 0.108802i
\(275\) −16.8416 23.5116i −1.01559 1.41780i
\(276\) −0.439095 0.253511i −0.0264304 0.0152596i
\(277\) −13.9531 + 0.522090i −0.838363 + 0.0313693i −0.453124 0.891447i \(-0.649691\pi\)
−0.385239 + 0.922817i \(0.625881\pi\)
\(278\) 0.777587 0.147127i 0.0466366 0.00882412i
\(279\) 7.24280 + 9.08218i 0.433615 + 0.543736i
\(280\) 5.75909 1.35383i 0.344172 0.0809066i
\(281\) 13.5099 16.9409i 0.805935 1.01061i −0.193628 0.981075i \(-0.562026\pi\)
0.999564 0.0295360i \(-0.00940297\pi\)
\(282\) 3.57004 6.75484i 0.212593 0.402245i
\(283\) −9.05739 3.95170i −0.538406 0.234904i 0.113052 0.993589i \(-0.463937\pi\)
−0.651458 + 0.758685i \(0.725842\pi\)
\(284\) −5.02932 0.376896i −0.298435 0.0223646i
\(285\) 13.1790 6.53600i 0.780658 0.387159i
\(286\) −2.04205 + 4.24036i −0.120749 + 0.250738i
\(287\) −6.21493 5.00841i −0.366856 0.295637i
\(288\) 2.11071 + 0.738570i 0.124375 + 0.0435207i
\(289\) 5.20332 0.389935i 0.306078 0.0229374i
\(290\) −1.25948 + 0.746764i −0.0739592 + 0.0438515i
\(291\) −2.76807 + 1.88724i −0.162267 + 0.110632i
\(292\) 0.801991 + 1.08666i 0.0469330 + 0.0635919i
\(293\) −1.70809 + 1.70809i −0.0997879 + 0.0997879i −0.755238 0.655450i \(-0.772479\pi\)
0.655450 + 0.755238i \(0.272479\pi\)
\(294\) −0.0625219 + 6.11738i −0.00364635 + 0.356773i
\(295\) −0.718755 14.6583i −0.0418475 0.853441i
\(296\) −9.86983 1.48764i −0.573672 0.0864672i
\(297\) 26.0084 + 4.92106i 1.50916 + 0.285549i
\(298\) 3.33648 + 6.31293i 0.193277 + 0.365698i
\(299\) −0.0352760 0.470726i −0.00204007 0.0272228i
\(300\) 4.24598 + 1.03281i 0.245141 + 0.0596292i
\(301\) 13.1009 20.6154i 0.755125 1.18825i
\(302\) −7.66545 + 2.68226i −0.441097 + 0.154346i
\(303\) 12.6374 5.51363i 0.725998 0.316750i
\(304\) −0.562543 + 7.50661i −0.0322640 + 0.430534i
\(305\) 10.3926 + 23.0859i 0.595076 + 1.32190i
\(306\) 2.26247 + 7.33475i 0.129337 + 0.419300i
\(307\) −21.5354 + 2.42646i −1.22909 + 0.138485i −0.702532 0.711652i \(-0.747947\pi\)
−0.526560 + 0.850138i \(0.676519\pi\)
\(308\) −2.35819 + 15.1209i −0.134370 + 0.861592i
\(309\) 4.18327 3.33605i 0.237978 0.189781i
\(310\) −11.2939 + 2.71590i −0.641450 + 0.154253i
\(311\) −5.30635 + 5.71889i −0.300896 + 0.324288i −0.865342 0.501181i \(-0.832899\pi\)
0.564447 + 0.825469i \(0.309089\pi\)
\(312\) −0.184049 0.686879i −0.0104197 0.0388868i
\(313\) 2.07219 + 0.555241i 0.117127 + 0.0313841i 0.316906 0.948457i \(-0.397356\pi\)
−0.199779 + 0.979841i \(0.564023\pi\)
\(314\) −0.317526 + 1.39117i −0.0179191 + 0.0785085i
\(315\) 6.10577 11.7363i 0.344021 0.661264i
\(316\) −2.03981 8.93699i −0.114748 0.502745i
\(317\) 0.627874 16.7803i 0.0352649 0.942475i −0.863581 0.504210i \(-0.831784\pi\)
0.898846 0.438265i \(-0.144407\pi\)
\(318\) 0.301321 0.408276i 0.0168973 0.0228950i
\(319\) −0.564518 3.74533i −0.0316069 0.209698i
\(320\) −1.56270 + 1.59937i −0.0873576 + 0.0894072i
\(321\) −0.102714 + 0.0234439i −0.00573296 + 0.00130851i
\(322\) −0.553462 1.43167i −0.0308432 0.0797837i
\(323\) −21.8783 + 13.7470i −1.21734 + 0.764905i
\(324\) 2.34623 1.35460i 0.130346 0.0752553i
\(325\) 1.43236 + 3.80784i 0.0794533 + 0.211221i
\(326\) 11.8219 + 10.9692i 0.654757 + 0.607526i
\(327\) 1.01096 + 5.34303i 0.0559060 + 0.295470i
\(328\) 2.99788 + 0.337779i 0.165530 + 0.0186507i
\(329\) 21.2466 9.14083i 1.17136 0.503950i
\(330\) −6.60647 + 9.17216i −0.363674 + 0.504911i
\(331\) 11.6243 3.58562i 0.638929 0.197083i 0.0416692 0.999131i \(-0.486732\pi\)
0.597259 + 0.802048i \(0.296256\pi\)
\(332\) −3.60933 + 8.27267i −0.198088 + 0.454022i
\(333\) −16.9181 + 14.5592i −0.927106 + 0.797839i
\(334\) 4.89641 12.4759i 0.267920 0.682648i
\(335\) 7.57321 + 18.6572i 0.413769 + 1.01935i
\(336\) −1.22018 1.96412i −0.0665664 0.107151i
\(337\) −4.07074 + 11.6335i −0.221748 + 0.633718i 0.778236 + 0.627972i \(0.216115\pi\)
−0.999983 + 0.00574619i \(0.998171\pi\)
\(338\) −8.04789 + 9.35181i −0.437747 + 0.508672i
\(339\) −1.82059 0.561576i −0.0988807 0.0305006i
\(340\) −7.60234 1.05587i −0.412295 0.0572627i
\(341\) 4.47839 29.7122i 0.242519 1.60901i
\(342\) 11.9030 + 11.9030i 0.643639 + 0.643639i
\(343\) −11.7678 + 14.3010i −0.635402 + 0.772182i
\(344\) 9.23216i 0.497765i
\(345\) 0.113867 1.12800i 0.00613041 0.0607297i
\(346\) 5.19285 + 7.61651i 0.279169 + 0.409466i
\(347\) −16.9490 + 8.95780i −0.909869 + 0.480880i −0.855595 0.517646i \(-0.826808\pi\)
−0.0542743 + 0.998526i \(0.517285\pi\)
\(348\) 0.433775 + 0.373294i 0.0232528 + 0.0200106i
\(349\) −23.4225 + 11.2797i −1.25378 + 0.603787i −0.938522 0.345220i \(-0.887804\pi\)
−0.315255 + 0.949007i \(0.602090\pi\)
\(350\) 8.04664 + 10.5001i 0.430111 + 0.561253i
\(351\) −3.35477 1.61557i −0.179064 0.0862328i
\(352\) −2.31307 5.30162i −0.123287 0.282577i
\(353\) −10.8889 12.6531i −0.579558 0.673459i 0.389290 0.921115i \(-0.372720\pi\)
−0.968848 + 0.247657i \(0.920339\pi\)
\(354\) −5.33951 + 2.09560i −0.283792 + 0.111380i
\(355\) −3.84787 10.6007i −0.204224 0.562626i
\(356\) 12.4139 + 9.89977i 0.657937 + 0.524687i
\(357\) 2.93738 7.37332i 0.155463 0.390238i
\(358\) 0.991673 8.80134i 0.0524115 0.465165i
\(359\) 3.18744 4.67512i 0.168227 0.246743i −0.732863 0.680377i \(-0.761816\pi\)
0.901089 + 0.433633i \(0.142769\pi\)
\(360\) 0.431461 + 4.98165i 0.0227400 + 0.262556i
\(361\) −18.8328 + 32.6194i −0.991201 + 1.71681i
\(362\) −1.98704 + 7.41572i −0.104436 + 0.389762i
\(363\) −10.4421 16.6185i −0.548068 0.872245i
\(364\) 0.870943 1.96871i 0.0456498 0.103189i
\(365\) −1.47955 + 2.63268i −0.0774431 + 0.137801i
\(366\) 7.25366 6.73041i 0.379155 0.351804i
\(367\) −15.3638 11.3390i −0.801985 0.591892i 0.113826 0.993501i \(-0.463689\pi\)
−0.915811 + 0.401609i \(0.868451\pi\)
\(368\) 0.466785 + 0.344503i 0.0243328 + 0.0179584i
\(369\) 4.94536 4.58863i 0.257445 0.238874i
\(370\) −6.02613 21.4900i −0.313283 1.11721i
\(371\) 1.48582 0.389998i 0.0771400 0.0202477i
\(372\) 2.41543 + 3.84413i 0.125234 + 0.199309i
\(373\) −6.92749 + 25.8538i −0.358692 + 1.33866i 0.517082 + 0.855936i \(0.327018\pi\)
−0.875774 + 0.482721i \(0.839649\pi\)
\(374\) 9.92722 17.1944i 0.513324 0.889103i
\(375\) 1.79145 + 9.60550i 0.0925099 + 0.496026i
\(376\) −4.92460 + 7.22307i −0.253967 + 0.372501i
\(377\) −0.0596552 + 0.529455i −0.00307240 + 0.0272683i
\(378\) −11.9629 1.86569i −0.615306 0.0959605i
\(379\) 17.3323 + 13.8221i 0.890301 + 0.709991i 0.957710 0.287734i \(-0.0929019\pi\)
−0.0674092 + 0.997725i \(0.521473\pi\)
\(380\) −15.8223 + 5.74321i −0.811665 + 0.294621i
\(381\) −13.6546 + 5.35903i −0.699545 + 0.274551i
\(382\) −13.4481 15.6270i −0.688067 0.799549i
\(383\) −5.42487 12.4339i −0.277198 0.635344i 0.721152 0.692777i \(-0.243613\pi\)
−0.998349 + 0.0574332i \(0.981708\pi\)
\(384\) 0.787408 + 0.379195i 0.0401822 + 0.0193507i
\(385\) −32.9959 + 9.07095i −1.68163 + 0.462299i
\(386\) −16.5470 + 7.96864i −0.842222 + 0.405593i
\(387\) 15.6483 + 13.4664i 0.795448 + 0.684538i
\(388\) 3.38915 1.79122i 0.172058 0.0909354i
\(389\) −1.87756 2.75388i −0.0951961 0.139627i 0.775686 0.631119i \(-0.217404\pi\)
−0.870882 + 0.491492i \(0.836452\pi\)
\(390\) 1.23160 1.00575i 0.0623646 0.0509282i
\(391\) 1.99136i 0.100707i
\(392\) 0.854799 6.94761i 0.0431739 0.350907i
\(393\) −12.8995 12.8995i −0.650695 0.650695i
\(394\) −1.58761 + 10.5331i −0.0799829 + 0.530652i
\(395\) 16.3501 12.3623i 0.822664 0.622016i
\(396\) −12.3601 3.81258i −0.621117 0.191589i
\(397\) −4.94411 + 5.74516i −0.248138 + 0.288341i −0.868203 0.496209i \(-0.834725\pi\)
0.620065 + 0.784550i \(0.287106\pi\)
\(398\) 3.10837 8.88321i 0.155808 0.445275i
\(399\) −1.86044 17.3063i −0.0931386 0.866398i
\(400\) −4.69547 1.71829i −0.234774 0.0859146i
\(401\) 2.36476 6.02531i 0.118091 0.300890i −0.859591 0.510983i \(-0.829281\pi\)
0.977681 + 0.210093i \(0.0673767\pi\)
\(402\) 5.96518 5.13345i 0.297516 0.256033i
\(403\) −1.69027 + 3.87414i −0.0841983 + 0.192984i
\(404\) −15.0754 + 4.65014i −0.750029 + 0.231353i
\(405\) 4.91558 + 3.54057i 0.244257 + 0.175932i
\(406\) 0.313387 + 1.70391i 0.0155532 + 0.0845637i
\(407\) 57.3713 + 6.46419i 2.84379 + 0.320418i
\(408\) 0.557709 + 2.94756i 0.0276107 + 0.145926i
\(409\) 5.59588 + 5.19222i 0.276698 + 0.256739i 0.806299 0.591509i \(-0.201468\pi\)
−0.529600 + 0.848247i \(0.677658\pi\)
\(410\) 2.06299 + 6.42268i 0.101884 + 0.317194i
\(411\) 6.12578 3.53672i 0.302163 0.174454i
\(412\) −5.18388 + 3.25725i −0.255391 + 0.160473i
\(413\) −16.5670 5.20309i −0.815207 0.256027i
\(414\) 1.26480 0.288682i 0.0621614 0.0141879i
\(415\) −20.1809 + 0.234002i −0.990639 + 0.0114867i
\(416\) 0.121271 + 0.804578i 0.00594578 + 0.0394477i
\(417\) 0.410707 0.556488i 0.0201124 0.0272513i
\(418\) 1.62808 43.5113i 0.0796320 2.12821i
\(419\) −3.22161 14.1148i −0.157386 0.689552i −0.990622 0.136634i \(-0.956371\pi\)
0.833236 0.552918i \(-0.186486\pi\)
\(420\) 2.88482 4.29078i 0.140765 0.209369i
\(421\) 2.96745 13.0012i 0.144624 0.633641i −0.849701 0.527264i \(-0.823218\pi\)
0.994326 0.106377i \(-0.0339251\pi\)
\(422\) −8.61835 2.30928i −0.419535 0.112414i
\(423\) 5.05968 + 18.8830i 0.246010 + 0.918122i
\(424\) −0.394916 + 0.425618i −0.0191788 + 0.0206698i
\(425\) −4.82519 16.4703i −0.234056 0.798925i
\(426\) −3.44610 + 2.74818i −0.166964 + 0.133150i
\(427\) 29.8831 2.08593i 1.44615 0.100945i
\(428\) 0.119793 0.0134974i 0.00579039 0.000652420i
\(429\) 1.21239 + 3.93049i 0.0585350 + 0.189766i
\(430\) −18.8243 + 8.47409i −0.907788 + 0.408657i
\(431\) 1.65443 22.0768i 0.0796911 1.06340i −0.803782 0.594923i \(-0.797182\pi\)
0.883474 0.468481i \(-0.155199\pi\)
\(432\) 4.19438 1.82999i 0.201802 0.0880454i
\(433\) −21.6160 + 7.56375i −1.03880 + 0.363491i −0.795175 0.606380i \(-0.792621\pi\)
−0.243621 + 0.969870i \(0.578335\pi\)
\(434\) −1.60862 + 13.6496i −0.0772162 + 0.655202i
\(435\) −0.362985 + 1.22711i −0.0174038 + 0.0588352i
\(436\) −0.464977 6.20469i −0.0222684 0.297151i
\(437\) 2.04063 + 3.86106i 0.0976166 + 0.184700i
\(438\) 1.15975 + 0.219437i 0.0554152 + 0.0104851i
\(439\) −18.5155 2.79076i −0.883695 0.133196i −0.308512 0.951220i \(-0.599831\pi\)
−0.575183 + 0.818025i \(0.695069\pi\)
\(440\) 8.68680 9.58262i 0.414127 0.456834i
\(441\) −10.5292 11.5830i −0.501390 0.551570i
\(442\) −1.97489 + 1.97489i −0.0939359 + 0.0939359i
\(443\) −1.52051 2.06022i −0.0722418 0.0978842i 0.766987 0.641663i \(-0.221755\pi\)
−0.839229 + 0.543778i \(0.816993\pi\)
\(444\) −7.20747 + 4.91397i −0.342052 + 0.233207i
\(445\) −8.79094 + 34.3988i −0.416731 + 1.63066i
\(446\) 18.2328 1.36636i 0.863346 0.0646988i
\(447\) 5.89020 + 2.06107i 0.278597 + 0.0974853i
\(448\) 1.13575 + 2.38957i 0.0536593 + 0.112897i
\(449\) −16.1252 + 33.4844i −0.760997 + 1.58023i 0.0524755 + 0.998622i \(0.483289\pi\)
−0.813472 + 0.581604i \(0.802425\pi\)
\(450\) −9.76149 + 5.45234i −0.460161 + 0.257026i
\(451\) −17.4014 1.30405i −0.819398 0.0614054i
\(452\) 1.99811 + 0.871767i 0.0939832 + 0.0410045i
\(453\) −3.31647 + 6.27506i −0.155821 + 0.294828i
\(454\) 3.15432 3.95539i 0.148040 0.185636i
\(455\) 4.81361 0.0312154i 0.225666 0.00146340i
\(456\) 4.10184 + 5.14355i 0.192086 + 0.240869i
\(457\) 1.12145 0.212189i 0.0524591 0.00992579i −0.159616 0.987179i \(-0.551026\pi\)
0.212075 + 0.977253i \(0.431978\pi\)
\(458\) −13.3354 + 0.498977i −0.623124 + 0.0233156i
\(459\) 13.6034 + 7.85393i 0.634953 + 0.366590i
\(460\) −0.273981 + 1.26798i −0.0127745 + 0.0591201i
\(461\) 22.5066 + 5.13699i 1.04824 + 0.239253i 0.711749 0.702434i \(-0.247903\pi\)
0.336489 + 0.941687i \(0.390761\pi\)
\(462\) 7.47769 + 11.0891i 0.347894 + 0.515911i
\(463\) −18.0500 + 28.7263i −0.838853 + 1.33503i 0.101504 + 0.994835i \(0.467635\pi\)
−0.940356 + 0.340191i \(0.889508\pi\)
\(464\) −0.445391 0.480017i −0.0206767 0.0222842i
\(465\) −5.62105 + 8.45352i −0.260670 + 0.392022i
\(466\) −14.8651 + 2.24055i −0.688612 + 0.103792i
\(467\) −27.5761 1.03182i −1.27607 0.0477471i −0.609256 0.792974i \(-0.708532\pi\)
−0.666811 + 0.745227i \(0.732341\pi\)
\(468\) 1.54063 + 0.968044i 0.0712158 + 0.0447478i
\(469\) 23.8124 0.769168i 1.09955 0.0355169i
\(470\) −19.2480 3.41125i −0.887844 0.157349i
\(471\) 0.623546 + 1.08001i 0.0287315 + 0.0497644i
\(472\) 6.33964 1.69870i 0.291806 0.0781891i
\(473\) −1.99673 53.3637i −0.0918097 2.45367i
\(474\) −6.61933 4.51299i −0.304036 0.207288i
\(475\) −26.2334 26.9898i −1.20367 1.23838i
\(476\) −4.28450 + 8.00735i −0.196380 + 0.367016i
\(477\) 0.145370 + 1.29020i 0.00665606 + 0.0590741i
\(478\) 27.0568 + 14.2999i 1.23755 + 0.654063i
\(479\) 5.43187 + 13.8402i 0.248189 + 0.632374i 0.999624 0.0274328i \(-0.00873323\pi\)
−0.751435 + 0.659807i \(0.770638\pi\)
\(480\) −0.0504236 + 1.95358i −0.00230151 + 0.0891681i
\(481\) −7.56006 2.96710i −0.344709 0.135288i
\(482\) 1.91397 + 5.46981i 0.0871790 + 0.249143i
\(483\) −1.20562 0.588204i −0.0548576 0.0267642i
\(484\) 9.74392 + 20.2335i 0.442905 + 0.919702i
\(485\) 6.76315 + 5.26631i 0.307099 + 0.239131i
\(486\) 4.74448 15.3812i 0.215214 0.697707i
\(487\) 6.98689 36.9266i 0.316606 1.67330i −0.356915 0.934137i \(-0.616171\pi\)
0.673521 0.739168i \(-0.264781\pi\)
\(488\) −9.10985 + 6.72338i −0.412384 + 0.304353i
\(489\) 14.0943 0.637367
\(490\) 14.9507 4.63421i 0.675405 0.209352i
\(491\) −19.7002 −0.889059 −0.444529 0.895764i \(-0.646629\pi\)
−0.444529 + 0.895764i \(0.646629\pi\)
\(492\) 2.12139 1.56566i 0.0956399 0.0705854i
\(493\) 0.417868 2.20849i 0.0188198 0.0994653i
\(494\) −1.80538 + 5.85289i −0.0812277 + 0.263334i
\(495\) −3.57136 28.7016i −0.160521 1.29004i
\(496\) −2.25393 4.68033i −0.101204 0.210153i
\(497\) −13.3435 0.0681859i −0.598536 0.00305855i
\(498\) 2.60528 + 7.44547i 0.116745 + 0.333639i
\(499\) −24.2971 9.53591i −1.08769 0.426886i −0.247337 0.968929i \(-0.579556\pi\)
−0.840350 + 0.542044i \(0.817651\pi\)
\(500\) −0.806342 11.1512i −0.0360607 0.498698i
\(501\) −4.27925 10.9034i −0.191183 0.487126i
\(502\) −5.71396 3.01992i −0.255026 0.134785i
\(503\) 2.75023 + 24.4090i 0.122627 + 1.08834i 0.892783 + 0.450487i \(0.148750\pi\)
−0.770156 + 0.637855i \(0.779822\pi\)
\(504\) 5.70693 + 1.56047i 0.254207 + 0.0695087i
\(505\) −23.3191 26.4703i −1.03769 1.17791i
\(506\) −2.77262 1.89034i −0.123258 0.0840357i
\(507\) 0.403183 + 10.7753i 0.0179060 + 0.478547i
\(508\) 16.2122 4.34404i 0.719300 0.192736i
\(509\) 1.55499 + 2.69333i 0.0689238 + 0.119380i 0.898428 0.439121i \(-0.144710\pi\)
−0.829504 + 0.558501i \(0.811377\pi\)
\(510\) −5.49813 + 3.84269i −0.243461 + 0.170157i
\(511\) 2.31692 + 2.72030i 0.102494 + 0.120339i
\(512\) −0.846724 0.532032i −0.0374203 0.0235127i
\(513\) 34.4241 + 1.28806i 1.51986 + 0.0568691i
\(514\) 2.51242 0.378686i 0.110818 0.0167031i
\(515\) −11.3997 7.58009i −0.502331 0.334019i
\(516\) 5.48798 + 5.91463i 0.241595 + 0.260377i
\(517\) 26.9030 42.8158i 1.18319 1.88304i
\(518\) −26.3238 2.10802i −1.15660 0.0926211i
\(519\) 7.85440 + 1.79271i 0.344770 + 0.0786915i
\(520\) −1.52921 + 0.985783i −0.0670605 + 0.0432294i
\(521\) 34.6580 + 20.0098i 1.51840 + 0.876646i 0.999766 + 0.0216475i \(0.00689116\pi\)
0.518630 + 0.854999i \(0.326442\pi\)
\(522\) −1.46328 + 0.0547523i −0.0640462 + 0.00239644i
\(523\) 34.4175 6.51215i 1.50497 0.284756i 0.632939 0.774202i \(-0.281848\pi\)
0.872034 + 0.489445i \(0.162801\pi\)
\(524\) 13.0145 + 16.3197i 0.568542 + 0.712929i
\(525\) 11.3968 + 1.94367i 0.497397 + 0.0848288i
\(526\) −18.3471 + 23.0065i −0.799970 + 1.00313i
\(527\) 8.33190 15.7647i 0.362943 0.686722i
\(528\) −4.63338 2.02152i −0.201642 0.0879755i
\(529\) −22.6001 1.69364i −0.982611 0.0736365i
\(530\) −1.23032 0.414559i −0.0534417 0.0180073i
\(531\) 6.36803 13.2233i 0.276349 0.573844i
\(532\) −0.101772 + 19.9161i −0.00441238 + 0.863470i
\(533\) 2.31696 + 0.810738i 0.100358 + 0.0351169i
\(534\) 13.8379 1.03701i 0.598824 0.0448756i
\(535\) 0.137477 + 0.231867i 0.00594366 + 0.0100245i
\(536\) −7.44023 + 5.07266i −0.321369 + 0.219106i
\(537\) −4.59656 6.22812i −0.198356 0.268763i
\(538\) −4.14687 + 4.14687i −0.178784 + 0.178784i
\(539\) −3.43828 + 40.3434i −0.148097 + 1.73771i
\(540\) 7.58131 + 6.87258i 0.326247 + 0.295749i
\(541\) 14.1181 + 2.12796i 0.606983 + 0.0914880i 0.445340 0.895361i \(-0.353083\pi\)
0.161643 + 0.986849i \(0.448321\pi\)
\(542\) −21.6885 4.10369i −0.931602 0.176269i
\(543\) 3.13521 + 5.93210i 0.134545 + 0.254571i
\(544\) −0.256511 3.42291i −0.0109978 0.146756i
\(545\) 12.2245 6.64330i 0.523640 0.284568i
\(546\) −0.612310 1.77899i −0.0262045 0.0761338i
\(547\) −39.6986 + 13.8912i −1.69739 + 0.593943i −0.993237 0.116104i \(-0.962959\pi\)
−0.704154 + 0.710047i \(0.748674\pi\)
\(548\) −7.41828 + 3.23656i −0.316893 + 0.138259i
\(549\) −1.89208 + 25.2480i −0.0807519 + 1.07756i
\(550\) 27.5124 + 8.91652i 1.17313 + 0.380202i
\(551\) −1.45293 4.71027i −0.0618967 0.200664i
\(552\) 0.503835 0.0567685i 0.0214446 0.00241623i
\(553\) −7.03022 23.2119i −0.298955 0.987069i
\(554\) 10.9166 8.70573i 0.463804 0.369871i
\(555\) −16.6352 10.1855i −0.706125 0.432350i
\(556\) −0.538278 + 0.580125i −0.0228281 + 0.0246028i
\(557\) 10.7331 + 40.0565i 0.454777 + 1.69725i 0.688743 + 0.725006i \(0.258163\pi\)
−0.233966 + 0.972245i \(0.575170\pi\)
\(558\) −11.2207 3.00658i −0.475011 0.127279i
\(559\) −1.67155 + 7.32356i −0.0706992 + 0.309754i
\(560\) −3.82982 + 4.50915i −0.161840 + 0.190546i
\(561\) −3.86116 16.9169i −0.163018 0.714230i
\(562\) −0.810202 + 21.6531i −0.0341763 + 0.913381i
\(563\) 16.9435 22.9576i 0.714081 0.967546i −0.285876 0.958267i \(-0.592284\pi\)
0.999957 0.00927908i \(-0.00295366\pi\)
\(564\) 1.13872 + 7.55489i 0.0479486 + 0.318118i
\(565\) 0.0565189 + 4.87431i 0.00237777 + 0.205064i
\(566\) 9.63416 2.19893i 0.404954 0.0924281i
\(567\) 5.94291 4.00748i 0.249579 0.168298i
\(568\) 4.27039 2.68326i 0.179182 0.112587i
\(569\) 26.8453 15.4991i 1.12541 0.649757i 0.182635 0.983181i \(-0.441537\pi\)
0.942777 + 0.333424i \(0.108204\pi\)
\(570\) −6.72261 + 13.0848i −0.281579 + 0.548063i
\(571\) 9.41579 + 8.73658i 0.394039 + 0.365614i 0.852165 0.523272i \(-0.175289\pi\)
−0.458127 + 0.888887i \(0.651479\pi\)
\(572\) −0.874982 4.62439i −0.0365848 0.193356i
\(573\) −17.9050 2.01741i −0.747991 0.0842784i
\(574\) 7.97461 + 0.339204i 0.332854 + 0.0141581i
\(575\) −2.83689 + 0.605223i −0.118307 + 0.0252395i
\(576\) −2.13685 + 0.659132i −0.0890355 + 0.0274638i
\(577\) 14.9097 34.1733i 0.620698 1.42266i −0.267664 0.963512i \(-0.586252\pi\)
0.888362 0.459143i \(-0.151843\pi\)
\(578\) −3.95503 + 3.40358i −0.164508 + 0.141570i
\(579\) −5.86407 + 14.9414i −0.243702 + 0.620943i
\(580\) 0.569931 1.34875i 0.0236651 0.0560038i
\(581\) −8.00211 + 22.4993i −0.331984 + 0.933426i
\(582\) 1.10650 3.16221i 0.0458661 0.131078i
\(583\) 2.19064 2.54557i 0.0907269 0.105427i
\(584\) −1.29056 0.398085i −0.0534038 0.0164729i
\(585\) −0.559702 + 4.02989i −0.0231409 + 0.166615i
\(586\) 0.360028 2.38863i 0.0148726 0.0986734i
\(587\) 8.00639 + 8.00639i 0.330459 + 0.330459i 0.852761 0.522302i \(-0.174927\pi\)
−0.522302 + 0.852761i \(0.674927\pi\)
\(588\) −3.58232 4.95915i −0.147732 0.204512i
\(589\) 39.1045i 1.61127i
\(590\) 9.28272 + 11.3672i 0.382164 + 0.467982i
\(591\) 5.24422 + 7.69185i 0.215718 + 0.316401i
\(592\) 8.82463 4.66396i 0.362690 0.191687i
\(593\) −14.1425 12.1706i −0.580763 0.499787i 0.312140 0.950036i \(-0.398954\pi\)
−0.892903 + 0.450249i \(0.851335\pi\)
\(594\) −23.8486 + 11.4849i −0.978518 + 0.471230i
\(595\) −20.2596 1.38619i −0.830563 0.0568284i
\(596\) −6.43327 3.09810i −0.263517 0.126903i
\(597\) −3.28915 7.53882i −0.134616 0.308543i
\(598\) 0.307910 + 0.357797i 0.0125914 + 0.0146314i
\(599\) 20.0079 7.85252i 0.817501 0.320845i 0.0805147 0.996753i \(-0.474344\pi\)
0.736986 + 0.675908i \(0.236248\pi\)
\(600\) −4.02960 + 1.69035i −0.164508 + 0.0690083i
\(601\) 4.27361 + 3.40809i 0.174324 + 0.139019i 0.706765 0.707448i \(-0.250154\pi\)
−0.532441 + 0.846467i \(0.678725\pi\)
\(602\) 1.70087 + 24.3667i 0.0693221 + 0.993113i
\(603\) −2.25461 + 20.0102i −0.0918148 + 0.814879i
\(604\) 4.57482 6.71003i 0.186147 0.273027i
\(605\) −32.3120 + 38.4398i −1.31367 + 1.56280i
\(606\) −6.89389 + 11.9406i −0.280045 + 0.485053i
\(607\) −6.29093 + 23.4781i −0.255341 + 0.952946i 0.712559 + 0.701612i \(0.247536\pi\)
−0.967900 + 0.251334i \(0.919131\pi\)
\(608\) −4.00496 6.37385i −0.162422 0.258494i
\(609\) 1.21365 + 0.905330i 0.0491795 + 0.0366858i
\(610\) −22.0707 12.4036i −0.893618 0.502207i
\(611\) −5.21431 + 4.83818i −0.210949 + 0.195732i
\(612\) −6.17591 4.55803i −0.249646 0.184247i
\(613\) −16.6893 12.3172i −0.674073 0.497488i 0.202175 0.979349i \(-0.435199\pi\)
−0.876248 + 0.481861i \(0.839961\pi\)
\(614\) 15.8865 14.7405i 0.641126 0.594878i
\(615\) 5.13957 + 2.88840i 0.207247 + 0.116472i
\(616\) −7.08169 13.5666i −0.285329 0.546613i
\(617\) −5.68720 9.05112i −0.228958 0.364384i 0.712412 0.701762i \(-0.247603\pi\)
−0.941369 + 0.337378i \(0.890460\pi\)
\(618\) −1.38484 + 5.16828i −0.0557063 + 0.207899i
\(619\) 13.8392 23.9701i 0.556243 0.963441i −0.441563 0.897230i \(-0.645576\pi\)
0.997806 0.0662108i \(-0.0210910\pi\)
\(620\) 7.47429 8.89175i 0.300175 0.357101i
\(621\) 1.49554 2.19356i 0.0600141 0.0880245i
\(622\) 0.873488 7.75242i 0.0350237 0.310844i
\(623\) 34.5883 + 23.8417i 1.38575 + 0.955198i
\(624\) 0.555967 + 0.443369i 0.0222565 + 0.0177490i
\(625\) 21.9971 11.8797i 0.879884 0.475188i
\(626\) −1.99699 + 0.783761i −0.0798158 + 0.0313254i
\(627\) −24.8219 28.8436i −0.991291 1.15190i
\(628\) −0.570626 1.30789i −0.0227705 0.0521905i
\(629\) 30.8680 + 14.8653i 1.23079 + 0.592716i
\(630\) 2.05655 + 13.0687i 0.0819349 + 0.520670i
\(631\) 30.3615 14.6213i 1.20867 0.582065i 0.282535 0.959257i \(-0.408825\pi\)
0.926135 + 0.377192i \(0.123110\pi\)
\(632\) 6.94819 + 5.97940i 0.276384 + 0.237848i
\(633\) −6.89412 + 3.64365i −0.274017 + 0.144822i
\(634\) 9.45929 + 13.8742i 0.375676 + 0.551016i
\(635\) 23.7384 + 29.0691i 0.942031 + 1.15357i
\(636\) 0.507429i 0.0201209i
\(637\) 1.93600 5.35654i 0.0767072 0.212234i
\(638\) 2.67826 + 2.67826i 0.106033 + 0.106033i
\(639\) 1.68091 11.1521i 0.0664959 0.441172i
\(640\) 0.307610 2.21481i 0.0121593 0.0875480i
\(641\) 23.3975 + 7.21717i 0.924146 + 0.285061i 0.720076 0.693895i \(-0.244107\pi\)
0.204070 + 0.978956i \(0.434583\pi\)
\(642\) 0.0687223 0.0798568i 0.00271225 0.00315170i
\(643\) 4.41521 12.6180i 0.174119 0.497604i −0.823442 0.567400i \(-0.807949\pi\)
0.997561 + 0.0697965i \(0.0222350\pi\)
\(644\) 1.29547 + 0.823259i 0.0510486 + 0.0324410i
\(645\) −7.02253 + 16.6189i −0.276512 + 0.654369i
\(646\) 9.43995 24.0526i 0.371410 0.946336i
\(647\) 20.3051 17.4739i 0.798274 0.686970i −0.155387 0.987854i \(-0.549662\pi\)
0.953661 + 0.300883i \(0.0972815\pi\)
\(648\) −1.08338 + 2.48314i −0.0425594 + 0.0975471i
\(649\) −36.2770 + 11.1900i −1.42400 + 0.439244i
\(650\) −3.41365 2.21321i −0.133894 0.0868094i
\(651\) 7.08332 + 9.70093i 0.277617 + 0.380209i
\(652\) −16.0256 1.80565i −0.627612 0.0707149i
\(653\) 0.892203 + 4.71541i 0.0349146 + 0.184528i 0.995682 0.0928261i \(-0.0295901\pi\)
−0.960768 + 0.277354i \(0.910542\pi\)
\(654\) −3.98621 3.69867i −0.155873 0.144629i
\(655\) −21.3298 + 41.5162i −0.833425 + 1.62217i
\(656\) −2.61266 + 1.50842i −0.102007 + 0.0588940i
\(657\) −2.55721 + 1.60680i −0.0997664 + 0.0626874i
\(658\) −11.6669 + 19.9713i −0.454824 + 0.778563i
\(659\) −8.63713 + 1.97137i −0.336455 + 0.0767936i −0.387411 0.921907i \(-0.626630\pi\)
0.0509557 + 0.998701i \(0.483773\pi\)
\(660\) −0.131061 11.3030i −0.00510152 0.439967i
\(661\) 3.93334 + 26.0960i 0.152989 + 1.01502i 0.925153 + 0.379594i \(0.123936\pi\)
−0.772164 + 0.635423i \(0.780826\pi\)
\(662\) −7.22366 + 9.78772i −0.280756 + 0.380410i
\(663\) −0.0912676 + 2.43918i −0.00354454 + 0.0947298i
\(664\) −2.00842 8.79946i −0.0779418 0.341485i
\(665\) −40.7021 + 18.0732i −1.57836 + 0.700849i
\(666\) 4.96672 21.7606i 0.192456 0.843206i
\(667\) −0.366947 0.0983232i −0.0142083 0.00380709i
\(668\) 3.46877 + 12.9456i 0.134211 + 0.500881i
\(669\) 10.8687 11.7137i 0.420208 0.452877i
\(670\) −17.1724 10.5144i −0.663428 0.406207i
\(671\) 51.2026 40.8327i 1.97665 1.57633i
\(672\) 2.14809 + 0.855755i 0.0828643 + 0.0330115i
\(673\) 24.8584 2.80086i 0.958219 0.107965i 0.381018 0.924568i \(-0.375574\pi\)
0.577201 + 0.816602i \(0.304145\pi\)
\(674\) −3.63291 11.7776i −0.139934 0.453656i
\(675\) −7.05432 + 21.7665i −0.271521 + 0.837792i
\(676\) 0.922016 12.3034i 0.0354622 0.473210i
\(677\) 7.04620 3.07423i 0.270808 0.118152i −0.260100 0.965582i \(-0.583756\pi\)
0.530908 + 0.847429i \(0.321851\pi\)
\(678\) 1.79831 0.629258i 0.0690639 0.0241665i
\(679\) 8.61509 5.35201i 0.330617 0.205391i
\(680\) 6.74382 3.66487i 0.258614 0.140541i
\(681\) −0.330416 4.40910i −0.0126616 0.168957i
\(682\) 14.0404 + 26.5657i 0.537635 + 1.01725i
\(683\) 8.66906 + 1.64027i 0.331712 + 0.0627633i 0.349100 0.937085i \(-0.386487\pi\)
−0.0173877 + 0.999849i \(0.505535\pi\)
\(684\) −16.6453 2.50888i −0.636450 0.0959295i
\(685\) −13.4085 12.1550i −0.512311 0.464419i
\(686\) 0.976120 18.4945i 0.0372684 0.706124i
\(687\) −8.24680 + 8.24680i −0.314635 + 0.314635i
\(688\) −5.48224 7.42818i −0.209009 0.283197i
\(689\) −0.390335 + 0.266126i −0.0148706 + 0.0101386i
\(690\) 0.578215 + 0.975207i 0.0220123 + 0.0371255i
\(691\) 0.0878302 0.00658196i 0.00334122 0.000250390i −0.0730594 0.997328i \(-0.523276\pi\)
0.0764006 + 0.997077i \(0.475657\pi\)
\(692\) −8.70099 3.04461i −0.330762 0.115739i
\(693\) −33.3247 7.78551i −1.26590 0.295747i
\(694\) 8.31779 17.2721i 0.315739 0.655639i
\(695\) −1.67695 0.565052i −0.0636103 0.0214337i
\(696\) −0.570684 0.0427669i −0.0216317 0.00162107i
\(697\) −9.49131 4.14101i −0.359509 0.156852i
\(698\) 12.1476 22.9843i 0.459793 0.869970i
\(699\) −8.19152 + 10.2718i −0.309832 + 0.388517i
\(700\) −12.7095 3.67008i −0.480373 0.138716i
\(701\) −27.0348 33.9006i −1.02109 1.28041i −0.959322 0.282316i \(-0.908897\pi\)
−0.0617683 0.998091i \(-0.519674\pi\)
\(702\) 3.65860 0.692244i 0.138085 0.0261271i
\(703\) 75.0834 2.80942i 2.83182 0.105959i
\(704\) 5.00930 + 2.89212i 0.188795 + 0.109001i
\(705\) −14.3591 + 9.25637i −0.540796 + 0.348615i
\(706\) 16.2749 + 3.71463i 0.612513 + 0.139802i
\(707\) −38.9322 + 15.0506i −1.46420 + 0.566037i
\(708\) 3.05175 4.85683i 0.114692 0.182531i
\(709\) 10.7887 + 11.6274i 0.405178 + 0.436678i 0.902370 0.430963i \(-0.141826\pi\)
−0.497192 + 0.867641i \(0.665636\pi\)
\(710\) 9.39089 + 6.24434i 0.352434 + 0.234346i
\(711\) 20.2699 3.05520i 0.760181 0.114579i
\(712\) −15.8669 0.593697i −0.594637 0.0222498i
\(713\) −2.55180 1.60340i −0.0955656 0.0600478i
\(714\) 2.01501 + 7.67684i 0.0754100 + 0.287298i
\(715\) 8.62595 6.02876i 0.322592 0.225463i
\(716\) 4.42852 + 7.67041i 0.165501 + 0.286657i
\(717\) 25.8345 6.92234i 0.964808 0.258520i
\(718\) 0.211571 + 5.65436i 0.00789576 + 0.211019i
\(719\) −0.488676 0.333174i −0.0182245 0.0124253i 0.554174 0.832401i \(-0.313034\pi\)
−0.572398 + 0.819976i \(0.693987\pi\)
\(720\) −3.30535 3.75201i −0.123183 0.139829i
\(721\) −13.0819 + 9.55199i −0.487194 + 0.355735i
\(722\) −4.21722 37.4288i −0.156948 1.39296i
\(723\) 4.47768 + 2.36652i 0.166527 + 0.0880119i
\(724\) −2.80484 7.14662i −0.104241 0.265602i
\(725\) 3.27322 0.0759178i 0.121564 0.00281952i
\(726\) 18.2701 + 7.17048i 0.678067 + 0.266122i
\(727\) 0.511824 + 1.46271i 0.0189825 + 0.0542489i 0.952985 0.303018i \(-0.0979943\pi\)
−0.934002 + 0.357267i \(0.883709\pi\)
\(728\) 0.468303 + 2.10121i 0.0173565 + 0.0778759i
\(729\) −2.57724 5.35169i −0.0954533 0.198211i
\(730\) −0.372899 2.99684i −0.0138016 0.110918i
\(731\) 9.34062 30.2816i 0.345475 1.12000i
\(732\) −1.83962 + 9.72264i −0.0679944 + 0.359359i
\(733\) 33.1179 24.4421i 1.22324 0.902791i 0.225789 0.974176i \(-0.427504\pi\)
0.997449 + 0.0713854i \(0.0227420\pi\)
\(734\) 19.0950 0.704811
\(735\) 6.82350 11.8563i 0.251689 0.437325i
\(736\) −0.580147 −0.0213845
\(737\) 41.9089 30.9301i 1.54373 1.13933i
\(738\) −1.25421 + 6.62866i −0.0461681 + 0.244004i
\(739\) −15.2435 + 49.4181i −0.560740 + 1.81787i 0.0145079 + 0.999895i \(0.495382\pi\)
−0.575248 + 0.817979i \(0.695094\pi\)
\(740\) 17.6098 + 13.7124i 0.647349 + 0.504076i
\(741\) 2.32257 + 4.82287i 0.0853219 + 0.177173i
\(742\) −0.963900 + 1.19610i −0.0353859 + 0.0439103i
\(743\) 10.3896 + 29.6919i 0.381159 + 1.08929i 0.961474 + 0.274898i \(0.0886439\pi\)
−0.580314 + 0.814392i \(0.697070\pi\)
\(744\) −4.22617 1.65865i −0.154939 0.0608091i
\(745\) 0.411970 15.9611i 0.0150934 0.584769i
\(746\) −9.77864 24.9156i −0.358021 0.912223i
\(747\) −17.8445 9.43107i −0.652895 0.345065i
\(748\) 2.22299 + 19.7296i 0.0812806 + 0.721385i
\(749\) 0.313685 0.0576937i 0.0114618 0.00210808i
\(750\) −7.14534 6.66477i −0.260911 0.243363i
\(751\) 5.31833 + 3.62597i 0.194068 + 0.132314i 0.656456 0.754364i \(-0.272055\pi\)
−0.462388 + 0.886678i \(0.653007\pi\)
\(752\) −0.326878 8.73599i −0.0119200 0.318569i
\(753\) −5.45584 + 1.46189i −0.198822 + 0.0532742i
\(754\) −0.266403 0.461423i −0.00970181 0.0168040i
\(755\) 17.8809 + 3.16896i 0.650752 + 0.115330i
\(756\) 10.7332 5.60269i 0.390363 0.203768i
\(757\) −11.7542 7.38566i −0.427214 0.268436i 0.301217 0.953556i \(-0.402607\pi\)
−0.728431 + 0.685119i \(0.759750\pi\)
\(758\) −22.1534 0.828920i −0.804646 0.0301077i
\(759\) −2.89999 + 0.437103i −0.105263 + 0.0158658i
\(760\) 9.32012 14.0166i 0.338076 0.508434i
\(761\) 5.55787 + 5.98996i 0.201473 + 0.217136i 0.825704 0.564104i \(-0.190778\pi\)
−0.624231 + 0.781240i \(0.714588\pi\)
\(762\) 7.80415 12.4202i 0.282714 0.449937i
\(763\) −2.37033 16.2906i −0.0858119 0.589758i
\(764\) 20.1000 + 4.58769i 0.727192 + 0.165977i
\(765\) 3.62498 16.7764i 0.131061 0.606551i
\(766\) 11.7484 + 6.78292i 0.424485 + 0.245077i
\(767\) 5.33659 0.199681i 0.192693 0.00721006i
\(768\) −0.858720 + 0.162479i −0.0309864 + 0.00586294i
\(769\) −12.7267 15.9588i −0.458938 0.575490i 0.497486 0.867472i \(-0.334257\pi\)
−0.956424 + 0.291982i \(0.905685\pi\)
\(770\) 21.1619 26.8921i 0.762622 0.969124i
\(771\) 1.38449 1.73609i 0.0498611 0.0625239i
\(772\) 8.58178 16.2375i 0.308865 0.584401i
\(773\) 13.9656 + 6.09314i 0.502309 + 0.219155i 0.635740 0.771903i \(-0.280695\pi\)
−0.133432 + 0.991058i \(0.542600\pi\)
\(774\) −20.5872 1.54280i −0.739993 0.0554548i
\(775\) 24.9908 + 7.07836i 0.897695 + 0.254262i
\(776\) −1.66324 + 3.45376i −0.0597070 + 0.123983i
\(777\) −18.1176 + 14.2974i −0.649965 + 0.512918i
\(778\) 3.14599 + 1.10083i 0.112789 + 0.0394666i
\(779\) −22.6463 + 1.69710i −0.811387 + 0.0608051i
\(780\) −0.393709 + 1.54058i −0.0140971 + 0.0551615i
\(781\) −24.1033 + 16.4334i −0.862486 + 0.588033i
\(782\) −1.18251 1.60224i −0.0422864 0.0572960i
\(783\) −2.11891 + 2.11891i −0.0757238 + 0.0757238i
\(784\) 3.43786 + 6.09763i 0.122781 + 0.217773i
\(785\) 2.14300 2.36400i 0.0764870 0.0843747i
\(786\) 18.0389 + 2.71893i 0.643427 + 0.0969811i
\(787\) 19.6664 + 3.72108i 0.701030 + 0.132642i 0.524195 0.851598i \(-0.324366\pi\)
0.176835 + 0.984240i \(0.443414\pi\)
\(788\) −4.97740 9.41769i −0.177312 0.335491i
\(789\) 1.92186 + 25.6455i 0.0684201 + 0.913003i
\(790\) −5.81428 + 19.6557i −0.206863 + 0.699319i
\(791\) 5.43428 + 1.93276i 0.193221 + 0.0687211i
\(792\) 12.2089 4.27207i 0.433823 0.151801i
\(793\) −8.44386 + 3.68402i −0.299850 + 0.130823i
\(794\) 0.566428 7.55846i 0.0201018 0.268240i
\(795\) −1.03464 + 0.465763i −0.0366950 + 0.0165189i
\(796\) 2.77404 + 8.99322i 0.0983233 + 0.318756i
\(797\) 14.5403 1.63830i 0.515045 0.0580316i 0.149383 0.988779i \(-0.452271\pi\)
0.365662 + 0.930748i \(0.380843\pi\)
\(798\) 11.7737 + 12.8198i 0.416785 + 0.453817i
\(799\) 23.4607 18.7093i 0.829979 0.661886i
\(800\) 4.79832 1.40573i 0.169646 0.0497002i
\(801\) −24.1505 + 26.0280i −0.853315 + 0.919655i
\(802\) 1.67527 + 6.25220i 0.0591559 + 0.220773i
\(803\) 7.54579 + 2.02189i 0.266285 + 0.0713509i
\(804\) −1.75122 + 7.67261i −0.0617609 + 0.270592i
\(805\) −0.489523 + 3.39710i −0.0172534 + 0.119732i
\(806\) −0.940554 4.12084i −0.0331296 0.145150i
\(807\) −0.191644 + 5.12178i −0.00674617 + 0.180295i
\(808\) 9.36828 12.6936i 0.329575 0.446558i
\(809\) −2.91151 19.3166i −0.102363 0.679135i −0.979880 0.199589i \(-0.936039\pi\)
0.877517 0.479546i \(-0.159199\pi\)
\(810\) −6.05753 + 0.0702386i −0.212840 + 0.00246793i
\(811\) −11.4407 + 2.61126i −0.401737 + 0.0916938i −0.418615 0.908164i \(-0.637484\pi\)
0.0168784 + 0.999858i \(0.494627\pi\)
\(812\) −1.26397 1.18487i −0.0443566 0.0415807i
\(813\) −16.3343 + 10.2635i −0.572868 + 0.359957i
\(814\) −49.9994 + 28.8672i −1.75248 + 1.01179i
\(815\) −11.0280 34.3335i −0.386295 1.20265i
\(816\) −2.19905 2.04042i −0.0769822 0.0714291i
\(817\) −12.9202 68.2850i −0.452021 2.38899i
\(818\) −7.58568 0.854700i −0.265227 0.0298839i
\(819\) 4.24458 + 2.27115i 0.148318 + 0.0793604i
\(820\) −5.47379 3.94263i −0.191153 0.137683i
\(821\) −52.4301 + 16.1725i −1.82982 + 0.564426i −0.829844 + 0.557995i \(0.811571\pi\)
−0.999979 + 0.00643043i \(0.997953\pi\)
\(822\) −2.82861 + 6.48325i −0.0986593 + 0.226129i
\(823\) −3.93050 + 3.38247i −0.137009 + 0.117905i −0.718122 0.695917i \(-0.754998\pi\)
0.581114 + 0.813822i \(0.302617\pi\)
\(824\) 2.23672 5.69906i 0.0779198 0.198536i
\(825\) 22.9263 10.6421i 0.798192 0.370510i
\(826\) 16.4194 5.65140i 0.571305 0.196637i
\(827\) −16.8001 + 48.0120i −0.584198 + 1.66954i 0.148439 + 0.988922i \(0.452575\pi\)
−0.732637 + 0.680620i \(0.761710\pi\)
\(828\) −0.846228 + 0.983335i −0.0294085 + 0.0341732i
\(829\) −37.9905 11.7185i −1.31947 0.407001i −0.446501 0.894783i \(-0.647330\pi\)
−0.872966 + 0.487782i \(0.837806\pi\)
\(830\) 16.0985 12.1721i 0.558788 0.422499i
\(831\) 1.81876 12.0667i 0.0630920 0.418588i
\(832\) −0.575349 0.575349i −0.0199466 0.0199466i
\(833\) −9.83299 + 21.9234i −0.340693 + 0.759600i
\(834\) 0.691635i 0.0239494i
\(835\) −23.2121 + 18.9554i −0.803287 + 0.655980i
\(836\) 24.5280 + 35.9759i 0.848317 + 1.24425i
\(837\) −21.0175 + 11.1081i −0.726472 + 0.383952i
\(838\) 10.9737 + 9.44366i 0.379081 + 0.326226i
\(839\) 11.6024 5.58742i 0.400559 0.192899i −0.222748 0.974876i \(-0.571503\pi\)
0.623308 + 0.781977i \(0.285788\pi\)
\(840\) 0.226828 + 5.16542i 0.00782631 + 0.178224i
\(841\) −25.7418 12.3966i −0.887647 0.427468i
\(842\) 5.33279 + 12.2229i 0.183780 + 0.421229i
\(843\) 12.3524 + 14.3538i 0.425441 + 0.494371i
\(844\) 8.30560 3.25971i 0.285891 0.112204i
\(845\) 25.9329 9.41321i 0.892119 0.323824i
\(846\) −15.2841 12.1887i −0.525478 0.419055i
\(847\) 29.4451 + 51.6076i 1.01174 + 1.77326i
\(848\) 0.0650078 0.576960i 0.00223238 0.0198129i
\(849\) 4.86504 7.13570i 0.166968 0.244897i
\(850\) 13.6627 + 10.3866i 0.468627 + 0.356259i
\(851\) 2.89531 5.01483i 0.0992501 0.171906i
\(852\) 1.14081 4.25754i 0.0390833 0.145861i
\(853\) −22.0630 35.1130i −0.755422 1.20225i −0.974027 0.226433i \(-0.927294\pi\)
0.218605 0.975813i \(-0.429849\pi\)
\(854\) −22.8052 + 19.4235i −0.780379 + 0.664660i
\(855\) −10.1630 36.2426i −0.347567 1.23947i
\(856\) −0.0883698 + 0.0819952i −0.00302042 + 0.00280254i
\(857\) −8.54657 6.30766i −0.291945 0.215466i 0.437993 0.898978i \(-0.355689\pi\)
−0.729939 + 0.683513i \(0.760451\pi\)
\(858\) −3.30949 2.44252i −0.112984 0.0833861i
\(859\) −39.6138 + 36.7563i −1.35161 + 1.25411i −0.412292 + 0.911052i \(0.635272\pi\)
−0.939315 + 0.343056i \(0.888538\pi\)
\(860\) 10.1139 17.9965i 0.344881 0.613675i
\(861\) 5.31061 4.52312i 0.180985 0.154148i
\(862\) 11.7785 + 18.7454i 0.401178 + 0.638471i
\(863\) 4.05504 15.1336i 0.138035 0.515155i −0.861932 0.507025i \(-0.830745\pi\)
0.999967 0.00813029i \(-0.00258798\pi\)
\(864\) −2.28811 + 3.96311i −0.0778429 + 0.134828i
\(865\) −1.77861 20.5359i −0.0604747 0.698240i
\(866\) 12.9006 18.9218i 0.438382 0.642988i
\(867\) −0.510584 + 4.53155i −0.0173403 + 0.153900i
\(868\) −6.81112 11.9377i −0.231185 0.405191i
\(869\) −41.4551 33.0594i −1.40627 1.12146i
\(870\) −0.436623 1.20287i −0.0148029 0.0407813i
\(871\) −6.82053 + 2.67686i −0.231105 + 0.0907019i
\(872\) 4.05859 + 4.71617i 0.137441 + 0.159710i
\(873\) 3.42796 + 7.85697i 0.116019 + 0.265918i
\(874\) −3.93466 1.89483i −0.133092 0.0640937i
\(875\) −4.18262 29.2832i −0.141398 0.989953i
\(876\) −1.06344 + 0.512127i −0.0359304 + 0.0173032i
\(877\) −14.2436 12.2576i −0.480972 0.413910i 0.378100 0.925765i \(-0.376578\pi\)
−0.859072 + 0.511855i \(0.828959\pi\)
\(878\) 16.5547 8.74942i 0.558694 0.295279i
\(879\) −1.18925 1.74430i −0.0401123 0.0588339i
\(880\) −1.29903 + 12.8686i −0.0437902 + 0.433799i
\(881\) 44.7594i 1.50798i 0.656885 + 0.753990i \(0.271874\pi\)
−0.656885 + 0.753990i \(0.728126\pi\)
\(882\) 15.3500 + 3.06718i 0.516860 + 0.103277i
\(883\) 9.29847 + 9.29847i 0.312918 + 0.312918i 0.846039 0.533121i \(-0.178981\pi\)
−0.533121 + 0.846039i \(0.678981\pi\)
\(884\) 0.416262 2.76172i 0.0140004 0.0928867i
\(885\) 12.7042 + 1.76446i 0.427047 + 0.0593115i
\(886\) 2.44680 + 0.754739i 0.0822020 + 0.0253560i
\(887\) −1.05099 + 1.22127i −0.0352888 + 0.0410063i −0.775339 0.631546i \(-0.782421\pi\)
0.740050 + 0.672552i \(0.234802\pi\)
\(888\) 2.88110 8.23372i 0.0966834 0.276305i
\(889\) 41.9890 14.4522i 1.40827 0.484710i
\(890\) −13.3535 32.8974i −0.447610 1.10272i
\(891\) 5.72512 14.5874i 0.191799 0.488695i
\(892\) −13.8587 + 11.9263i −0.464022 + 0.399324i
\(893\) 26.3159 60.3168i 0.880629 2.01842i
\(894\) −5.96315 + 1.83939i −0.199437 + 0.0615183i
\(895\) −11.5750 + 16.0703i −0.386910 + 0.537170i
\(896\) −2.33280 1.24821i −0.0779334 0.0416999i
\(897\) 0.409953 + 0.0461907i 0.0136879 + 0.00154226i
\(898\) −6.90938 36.5170i −0.230569 1.21859i
\(899\) 2.49358 + 2.31370i 0.0831655 + 0.0771663i
\(900\) 4.61637 10.1835i 0.153879 0.339450i
\(901\) 1.72594 0.996475i 0.0574996 0.0331974i
\(902\) 14.7755 9.28404i 0.491969 0.309125i
\(903\) 15.5742 + 14.5996i 0.518279 + 0.485844i
\(904\) −2.12535 + 0.485097i −0.0706880 + 0.0161341i
\(905\) 11.9974 12.2788i 0.398805 0.408162i
\(906\) −1.05784 7.01828i −0.0351443 0.233167i
\(907\) −24.6481 + 33.3970i −0.818427 + 1.10893i 0.173836 + 0.984775i \(0.444384\pi\)
−0.992263 + 0.124155i \(0.960378\pi\)
\(908\) −0.189167 + 5.05560i −0.00627773 + 0.167776i
\(909\) −7.85030 34.3944i −0.260378 1.14079i
\(910\) −3.85449 + 2.88354i −0.127775 + 0.0955883i
\(911\) −0.832502 + 3.64743i −0.0275820 + 0.120845i −0.986845 0.161671i \(-0.948312\pi\)
0.959263 + 0.282516i \(0.0911689\pi\)
\(912\) −6.35468 1.70273i −0.210424 0.0563830i
\(913\) 13.5122 + 50.4282i 0.447189 + 1.66893i
\(914\) −0.776311 + 0.836665i −0.0256781 + 0.0276744i
\(915\) −21.5129 + 5.17333i −0.711196 + 0.171025i
\(916\) 10.4334 8.32032i 0.344728 0.274911i
\(917\) 37.3562 + 40.6754i 1.23361 + 1.34322i
\(918\) −15.6091 + 1.75872i −0.515177 + 0.0580465i
\(919\) 5.95297 + 19.2991i 0.196371 + 0.636618i 0.999184 + 0.0403874i \(0.0128592\pi\)
−0.802814 + 0.596230i \(0.796665\pi\)
\(920\) −0.532510 1.18291i −0.0175563 0.0389995i
\(921\) 1.41540 18.8872i 0.0466389 0.622353i
\(922\) −21.1592 + 9.23167i −0.696842 + 0.304029i
\(923\) 3.87338 1.35535i 0.127494 0.0446120i
\(924\) −12.6014 4.48185i −0.414557 0.147442i
\(925\) −11.7955 + 48.4926i −0.387835 + 1.59443i
\(926\) −2.53533 33.8316i −0.0833160 1.11177i
\(927\) −6.39720 12.1041i −0.210112 0.397551i
\(928\) 0.643404 + 0.121739i 0.0211208 + 0.00399627i
\(929\) 15.4785 + 2.33301i 0.507833 + 0.0765435i 0.397961 0.917402i \(-0.369718\pi\)
0.109872 + 0.993946i \(0.464956\pi\)
\(930\) −0.497183 10.1396i −0.0163033 0.332490i
\(931\) 3.40058 + 52.5838i 0.111449 + 1.72336i
\(932\) 10.6299 10.6299i 0.348195 0.348195i
\(933\) −4.04875 5.48587i −0.132550 0.179599i
\(934\) 22.8003 15.5450i 0.746050 0.508648i
\(935\) −38.1880 + 22.6422i −1.24888 + 0.740480i
\(936\) −1.81443 + 0.135973i −0.0593066 + 0.00444442i
\(937\) −10.0311 3.51003i −0.327701 0.114668i 0.161414 0.986887i \(-0.448395\pi\)
−0.489115 + 0.872219i \(0.662680\pi\)
\(938\) −18.7027 + 14.7592i −0.610663 + 0.481904i
\(939\) −0.813483 + 1.68921i −0.0265470 + 0.0551254i
\(940\) 17.5126 8.68517i 0.571197 0.283279i
\(941\) −9.91839 0.743281i −0.323330 0.0242303i −0.0879237 0.996127i \(-0.528023\pi\)
−0.235407 + 0.971897i \(0.575642\pi\)
\(942\) −1.14304 0.498702i −0.0372422 0.0162486i
\(943\) −0.817819 + 1.54739i −0.0266319 + 0.0503899i
\(944\) −4.09214 + 5.13138i −0.133188 + 0.167012i
\(945\) 21.2757 + 16.7423i 0.692099 + 0.544626i
\(946\) 33.2950 + 41.7506i 1.08251 + 1.35743i
\(947\) 3.09741 0.586061i 0.100652 0.0190444i −0.135341 0.990799i \(-0.543213\pi\)
0.235994 + 0.971755i \(0.424166\pi\)
\(948\) 8.00580 0.299556i 0.260016 0.00972913i
\(949\) −0.951681 0.549453i −0.0308929 0.0178360i
\(950\) 37.1344 + 6.13800i 1.20480 + 0.199143i
\(951\) 14.3076 + 3.26561i 0.463954 + 0.105895i
\(952\) −1.30763 8.98692i −0.0423805 0.291268i
\(953\) −24.5730 + 39.1077i −0.795996 + 1.26682i 0.163903 + 0.986476i \(0.447592\pi\)
−0.959899 + 0.280345i \(0.909551\pi\)
\(954\) −0.883111 0.951767i −0.0285918 0.0308146i
\(955\) 9.09529 + 45.1947i 0.294317 + 1.46247i
\(956\) −30.2614 + 4.56117i −0.978723 + 0.147519i
\(957\) 3.30791 + 0.123773i 0.106930 + 0.00400103i
\(958\) −12.5891 7.91023i −0.406734 0.255568i
\(959\) −18.9830 + 9.90904i −0.612993 + 0.319980i
\(960\) −1.11950 1.60178i −0.0361318 0.0516974i
\(961\) −2.00717 3.47653i −0.0647475 0.112146i
\(962\) 7.84473 2.10199i 0.252924 0.0677708i
\(963\) 0.0100797 + 0.269387i 0.000324815 + 0.00868086i
\(964\) −4.78806 3.26445i −0.154213 0.105141i
\(965\) 40.9852 + 2.59393i 1.31936 + 0.0835016i
\(966\) 1.31933 0.242654i 0.0424487 0.00780726i
\(967\) −2.91123 25.8378i −0.0936187 0.830889i −0.949511 0.313734i \(-0.898420\pi\)
0.855892 0.517154i \(-0.173009\pi\)
\(968\) −19.8550 10.4937i −0.638163 0.337279i
\(969\) −8.25010 21.0209i −0.265031 0.675289i
\(970\) −8.56886 0.221170i −0.275129 0.00710134i
\(971\) −10.1111 3.96832i −0.324481 0.127349i 0.197509 0.980301i \(-0.436715\pi\)
−0.521990 + 0.852952i \(0.674810\pi\)
\(972\) 5.31629 + 15.1931i 0.170520 + 0.487318i
\(973\) −1.31381 + 1.63031i −0.0421189 + 0.0522653i
\(974\) 16.3061 + 33.8600i 0.522482 + 1.08495i
\(975\) −3.50260 + 0.611307i −0.112173 + 0.0195775i
\(976\) 3.33729 10.8192i 0.106824 0.346315i
\(977\) −9.59007 + 50.6847i −0.306814 + 1.62155i 0.401644 + 0.915796i \(0.368439\pi\)
−0.708458 + 0.705753i \(0.750609\pi\)
\(978\) −11.3403 + 8.36949i −0.362621 + 0.267627i
\(979\) 91.8422 2.93529
\(980\) −9.27743 + 12.6067i −0.296357 + 0.402707i
\(981\) 13.9138 0.444234
\(982\) 15.8508 11.6984i 0.505818 0.373311i
\(983\) −0.881159 + 4.65704i −0.0281046 + 0.148536i −0.993808 0.111112i \(-0.964559\pi\)
0.965703 + 0.259648i \(0.0836065\pi\)
\(984\) −0.777149 + 2.51945i −0.0247746 + 0.0803173i
\(985\) 14.6339 18.7933i 0.466275 0.598803i
\(986\) 0.975229 + 2.02508i 0.0310576 + 0.0644918i
\(987\) 4.39730 + 19.7300i 0.139968 + 0.628014i
\(988\) −2.02296 5.78129i −0.0643589 0.183927i
\(989\) −4.98577 1.95677i −0.158538 0.0622216i
\(990\) 19.9171 + 20.9725i 0.633006 + 0.666549i
\(991\) 18.5316 + 47.2178i 0.588677 + 1.49992i 0.845775 + 0.533539i \(0.179138\pi\)
−0.257098 + 0.966385i \(0.582766\pi\)
\(992\) 4.59278 + 2.42735i 0.145821 + 0.0770686i
\(993\) 1.19034 + 10.5646i 0.0377744 + 0.335257i
\(994\) 10.7766 7.86876i 0.341814 0.249582i
\(995\) −15.7908 + 13.9110i −0.500603 + 0.441009i
\(996\) −6.51747 4.44354i −0.206514 0.140799i
\(997\) 0.215539 + 5.76040i 0.00682619 + 0.182434i 0.998542 + 0.0539818i \(0.0171913\pi\)
−0.991716 + 0.128452i \(0.958999\pi\)
\(998\) 25.2120 6.75554i 0.798072 0.213843i
\(999\) −22.8383 39.5571i −0.722572 1.25153i
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 490.2.w.a.353.6 yes 672
5.2 odd 4 inner 490.2.w.a.157.9 yes 672
49.5 odd 42 inner 490.2.w.a.103.9 672
245.152 even 84 inner 490.2.w.a.397.6 yes 672
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
490.2.w.a.103.9 672 49.5 odd 42 inner
490.2.w.a.157.9 yes 672 5.2 odd 4 inner
490.2.w.a.353.6 yes 672 1.1 even 1 trivial
490.2.w.a.397.6 yes 672 245.152 even 84 inner