Properties

Label 770.2.bv.a.103.33
Level $770$
Weight $2$
Character 770.103
Analytic conductor $6.148$
Analytic rank $0$
Dimension $768$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [770,2,Mod(3,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([45, 10, 48]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bv (of order \(60\), degree \(16\), 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: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(48\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 103.33
Character \(\chi\) \(=\) 770.103
Dual form 770.2.bv.a.157.33

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.358368 - 0.933580i) q^{2} +(-0.837605 + 1.28980i) q^{3} +(-0.743145 - 0.669131i) q^{4} +(1.48465 + 1.67207i) q^{5} +(0.903960 + 1.24419i) q^{6} +(2.63859 - 0.194548i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.258211 + 0.579952i) q^{9} +O(q^{10})\) \(q+(0.358368 - 0.933580i) q^{2} +(-0.837605 + 1.28980i) q^{3} +(-0.743145 - 0.669131i) q^{4} +(1.48465 + 1.67207i) q^{5} +(0.903960 + 1.24419i) q^{6} +(2.63859 - 0.194548i) q^{7} +(-0.891007 + 0.453990i) q^{8} +(0.258211 + 0.579952i) q^{9} +(2.09306 - 0.786822i) q^{10} +(-0.852145 + 3.20528i) q^{11} +(1.48551 - 0.398040i) q^{12} +(-2.56353 + 0.406023i) q^{13} +(0.763960 - 2.53305i) q^{14} +(-3.40018 + 0.514363i) q^{15} +(0.104528 + 0.994522i) q^{16} +(-0.247607 - 0.645039i) q^{17} +(0.633967 - 0.0332248i) q^{18} +(-1.35537 - 1.50529i) q^{19} +(0.0155247 - 2.23601i) q^{20} +(-1.95917 + 3.56620i) q^{21} +(2.68701 + 1.94422i) q^{22} +(1.91793 - 0.513907i) q^{23} +(0.160755 - 1.52948i) q^{24} +(-0.591638 + 4.96487i) q^{25} +(-0.539631 + 2.53877i) q^{26} +(-5.52122 - 0.874476i) q^{27} +(-2.09103 - 1.62098i) q^{28} +(-4.99572 + 1.62321i) q^{29} +(-0.738317 + 3.35868i) q^{30} +(6.69489 + 0.703662i) q^{31} +(0.965926 + 0.258819i) q^{32} +(-3.42041 - 3.78386i) q^{33} -0.690930 q^{34} +(4.24267 + 4.12307i) q^{35} +(0.196175 - 0.603766i) q^{36} +(-0.790201 + 0.513163i) q^{37} +(-1.89102 + 0.725896i) q^{38} +(1.62354 - 3.64652i) q^{39} +(-2.08194 - 0.815809i) q^{40} +(-3.48874 - 1.13356i) q^{41} +(2.62723 + 3.10705i) q^{42} +(7.61122 + 7.61122i) q^{43} +(2.77802 - 1.81179i) q^{44} +(-0.586368 + 1.29277i) q^{45} +(0.207550 - 1.97471i) q^{46} +(-0.623773 + 11.9023i) q^{47} +(-1.37029 - 0.698196i) q^{48} +(6.92430 - 1.02666i) q^{49} +(4.42308 + 2.33159i) q^{50} +(1.03937 + 0.220924i) q^{51} +(2.17676 + 1.41360i) q^{52} +(9.76349 - 7.90632i) q^{53} +(-2.79502 + 4.84112i) q^{54} +(-6.62460 + 3.33387i) q^{55} +(-2.26268 + 1.37124i) q^{56} +(3.07678 - 0.487314i) q^{57} +(-0.274911 + 5.24561i) q^{58} +(-5.73484 + 6.36919i) q^{59} +(2.87100 + 1.89292i) q^{60} +(-3.98951 + 0.419314i) q^{61} +(3.05616 - 5.99805i) q^{62} +(0.794142 + 1.48002i) q^{63} +(0.587785 - 0.809017i) q^{64} +(-4.48484 - 3.68360i) q^{65} +(-4.75830 + 1.83722i) q^{66} +(14.1612 + 3.79447i) q^{67} +(-0.247607 + 0.645039i) q^{68} +(-0.943630 + 2.90419i) q^{69} +(5.36966 - 2.48330i) q^{70} +(-1.72082 + 1.25025i) q^{71} +(-0.493361 - 0.399516i) q^{72} +(-0.498810 - 9.51787i) q^{73} +(0.195896 + 0.921617i) q^{74} +(-5.90813 - 4.92170i) q^{75} +2.02556i q^{76} +(-1.62488 + 8.62321i) q^{77} +(-2.82250 - 2.82250i) q^{78} +(-0.170998 - 0.384067i) q^{79} +(-1.50772 + 1.65129i) q^{80} +(4.47814 - 4.97348i) q^{81} +(-2.30852 + 2.85079i) q^{82} +(1.16214 - 7.33745i) q^{83} +(3.84220 - 1.33927i) q^{84} +(0.710941 - 1.37167i) q^{85} +(9.83330 - 4.37807i) q^{86} +(2.09083 - 7.80308i) q^{87} +(-0.695902 - 3.24280i) q^{88} +(2.28526 - 3.95818i) q^{89} +(0.996772 + 1.01071i) q^{90} +(-6.68511 + 1.57006i) q^{91} +(-1.76917 - 0.901437i) q^{92} +(-6.51526 + 8.04568i) q^{93} +(10.8882 + 4.84774i) q^{94} +(0.504703 - 4.50109i) q^{95} +(-1.14289 + 1.02906i) q^{96} +(-1.12547 - 7.10596i) q^{97} +(1.52298 - 6.83232i) q^{98} +(-2.07895 + 0.333438i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768 q + 24 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 768 q + 24 q^{5} + 4 q^{7} + 24 q^{10} + 12 q^{11} - 24 q^{15} - 96 q^{16} + 8 q^{22} + 8 q^{23} + 16 q^{25} - 24 q^{26} - 28 q^{28} - 16 q^{30} + 252 q^{33} - 40 q^{35} + 160 q^{36} - 8 q^{37} - 44 q^{42} + 80 q^{43} + 96 q^{45} - 8 q^{46} - 24 q^{47} + 64 q^{50} - 8 q^{51} + 40 q^{53} + 16 q^{56} + 64 q^{57} - 48 q^{58} - 164 q^{63} - 88 q^{65} + 32 q^{67} - 100 q^{70} + 32 q^{71} + 120 q^{73} - 336 q^{75} - 96 q^{77} - 36 q^{80} - 24 q^{81} + 48 q^{82} - 112 q^{85} - 24 q^{87} + 4 q^{88} - 12 q^{91} - 16 q^{92} - 88 q^{93} - 44 q^{95} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.358368 0.933580i 0.253404 0.660141i
\(3\) −0.837605 + 1.28980i −0.483592 + 0.744666i −0.993285 0.115690i \(-0.963092\pi\)
0.509694 + 0.860356i \(0.329759\pi\)
\(4\) −0.743145 0.669131i −0.371572 0.334565i
\(5\) 1.48465 + 1.67207i 0.663955 + 0.747773i
\(6\) 0.903960 + 1.24419i 0.369040 + 0.507940i
\(7\) 2.63859 0.194548i 0.997293 0.0735322i
\(8\) −0.891007 + 0.453990i −0.315018 + 0.160510i
\(9\) 0.258211 + 0.579952i 0.0860705 + 0.193317i
\(10\) 2.09306 0.786822i 0.661884 0.248815i
\(11\) −0.852145 + 3.20528i −0.256931 + 0.966430i
\(12\) 1.48551 0.398040i 0.428829 0.114904i
\(13\) −2.56353 + 0.406023i −0.710995 + 0.112611i −0.501448 0.865188i \(-0.667199\pi\)
−0.209547 + 0.977798i \(0.567199\pi\)
\(14\) 0.763960 2.53305i 0.204177 0.676987i
\(15\) −3.40018 + 0.514363i −0.877924 + 0.132808i
\(16\) 0.104528 + 0.994522i 0.0261321 + 0.248630i
\(17\) −0.247607 0.645039i −0.0600536 0.156445i 0.900271 0.435330i \(-0.143368\pi\)
−0.960324 + 0.278885i \(0.910035\pi\)
\(18\) 0.633967 0.0332248i 0.149427 0.00783116i
\(19\) −1.35537 1.50529i −0.310942 0.345336i 0.567336 0.823486i \(-0.307974\pi\)
−0.878278 + 0.478150i \(0.841307\pi\)
\(20\) 0.0155247 2.23601i 0.00347142 0.499988i
\(21\) −1.95917 + 3.56620i −0.427525 + 0.778209i
\(22\) 2.68701 + 1.94422i 0.572872 + 0.414508i
\(23\) 1.91793 0.513907i 0.399916 0.107157i −0.0532547 0.998581i \(-0.516960\pi\)
0.453171 + 0.891424i \(0.350293\pi\)
\(24\) 0.160755 1.52948i 0.0328140 0.312205i
\(25\) −0.591638 + 4.96487i −0.118328 + 0.992975i
\(26\) −0.539631 + 2.53877i −0.105830 + 0.497893i
\(27\) −5.52122 0.874476i −1.06256 0.168293i
\(28\) −2.09103 1.62098i −0.395168 0.306337i
\(29\) −4.99572 + 1.62321i −0.927682 + 0.301422i −0.733614 0.679566i \(-0.762168\pi\)
−0.194068 + 0.980988i \(0.562168\pi\)
\(30\) −0.738317 + 3.35868i −0.134798 + 0.613207i
\(31\) 6.69489 + 0.703662i 1.20244 + 0.126381i 0.684485 0.729027i \(-0.260027\pi\)
0.517954 + 0.855409i \(0.326694\pi\)
\(32\) 0.965926 + 0.258819i 0.170753 + 0.0457532i
\(33\) −3.42041 3.78386i −0.595417 0.658685i
\(34\) −0.690930 −0.118494
\(35\) 4.24267 + 4.12307i 0.717143 + 0.696926i
\(36\) 0.196175 0.603766i 0.0326959 0.100628i
\(37\) −0.790201 + 0.513163i −0.129908 + 0.0843634i −0.607957 0.793970i \(-0.708011\pi\)
0.478049 + 0.878333i \(0.341344\pi\)
\(38\) −1.89102 + 0.725896i −0.306765 + 0.117756i
\(39\) 1.62354 3.64652i 0.259974 0.583911i
\(40\) −2.08194 0.815809i −0.329183 0.128991i
\(41\) −3.48874 1.13356i −0.544850 0.177033i 0.0236432 0.999720i \(-0.492473\pi\)
−0.568493 + 0.822688i \(0.692473\pi\)
\(42\) 2.62723 + 3.10705i 0.405391 + 0.479429i
\(43\) 7.61122 + 7.61122i 1.16070 + 1.16070i 0.984323 + 0.176377i \(0.0564379\pi\)
0.176377 + 0.984323i \(0.443562\pi\)
\(44\) 2.77802 1.81179i 0.418802 0.273138i
\(45\) −0.586368 + 1.29277i −0.0874106 + 0.192715i
\(46\) 0.207550 1.97471i 0.0306016 0.291155i
\(47\) −0.623773 + 11.9023i −0.0909866 + 1.73613i 0.448192 + 0.893937i \(0.352068\pi\)
−0.539179 + 0.842191i \(0.681265\pi\)
\(48\) −1.37029 0.698196i −0.197784 0.100776i
\(49\) 6.92430 1.02666i 0.989186 0.146666i
\(50\) 4.42308 + 2.33159i 0.625519 + 0.329737i
\(51\) 1.03937 + 0.220924i 0.145541 + 0.0309356i
\(52\) 2.17676 + 1.41360i 0.301862 + 0.196031i
\(53\) 9.76349 7.90632i 1.34112 1.08602i 0.352461 0.935827i \(-0.385345\pi\)
0.988657 0.150189i \(-0.0479884\pi\)
\(54\) −2.79502 + 4.84112i −0.380355 + 0.658793i
\(55\) −6.62460 + 3.33387i −0.893260 + 0.449540i
\(56\) −2.26268 + 1.37124i −0.302363 + 0.183239i
\(57\) 3.07678 0.487314i 0.407529 0.0645463i
\(58\) −0.274911 + 5.24561i −0.0360976 + 0.688783i
\(59\) −5.73484 + 6.36919i −0.746613 + 0.829198i −0.990050 0.140719i \(-0.955059\pi\)
0.243437 + 0.969917i \(0.421725\pi\)
\(60\) 2.87100 + 1.89292i 0.370645 + 0.244375i
\(61\) −3.98951 + 0.419314i −0.510804 + 0.0536876i −0.356425 0.934324i \(-0.616004\pi\)
−0.154379 + 0.988012i \(0.549338\pi\)
\(62\) 3.05616 5.99805i 0.388133 0.761753i
\(63\) 0.794142 + 1.48002i 0.100053 + 0.186465i
\(64\) 0.587785 0.809017i 0.0734732 0.101127i
\(65\) −4.48484 3.68360i −0.556276 0.456894i
\(66\) −4.75830 + 1.83722i −0.585706 + 0.226146i
\(67\) 14.1612 + 3.79447i 1.73006 + 0.463568i 0.980197 0.198024i \(-0.0634524\pi\)
0.749864 + 0.661592i \(0.230119\pi\)
\(68\) −0.247607 + 0.645039i −0.0300268 + 0.0782224i
\(69\) −0.943630 + 2.90419i −0.113600 + 0.349624i
\(70\) 5.36966 2.48330i 0.641797 0.296811i
\(71\) −1.72082 + 1.25025i −0.204223 + 0.148377i −0.685196 0.728359i \(-0.740284\pi\)
0.480973 + 0.876735i \(0.340284\pi\)
\(72\) −0.493361 0.399516i −0.0581432 0.0470834i
\(73\) −0.498810 9.51787i −0.0583813 1.11398i −0.858059 0.513552i \(-0.828329\pi\)
0.799677 0.600430i \(-0.205004\pi\)
\(74\) 0.195896 + 0.921617i 0.0227724 + 0.107136i
\(75\) −5.90813 4.92170i −0.682212 0.568309i
\(76\) 2.02556i 0.232348i
\(77\) −1.62488 + 8.62321i −0.185172 + 0.982706i
\(78\) −2.82250 2.82250i −0.319585 0.319585i
\(79\) −0.170998 0.384067i −0.0192387 0.0432109i 0.903671 0.428228i \(-0.140862\pi\)
−0.922909 + 0.385017i \(0.874195\pi\)
\(80\) −1.50772 + 1.65129i −0.168569 + 0.184620i
\(81\) 4.47814 4.97348i 0.497571 0.552608i
\(82\) −2.30852 + 2.85079i −0.254934 + 0.314817i
\(83\) 1.16214 7.33745i 0.127561 0.805390i −0.838087 0.545537i \(-0.816326\pi\)
0.965648 0.259853i \(-0.0836741\pi\)
\(84\) 3.84220 1.33927i 0.419218 0.146126i
\(85\) 0.710941 1.37167i 0.0771123 0.148779i
\(86\) 9.83330 4.37807i 1.06035 0.472099i
\(87\) 2.09083 7.80308i 0.224160 0.836578i
\(88\) −0.695902 3.24280i −0.0741834 0.345683i
\(89\) 2.28526 3.95818i 0.242237 0.419566i −0.719114 0.694892i \(-0.755452\pi\)
0.961351 + 0.275326i \(0.0887857\pi\)
\(90\) 0.996772 + 1.01071i 0.105069 + 0.106538i
\(91\) −6.68511 + 1.57006i −0.700790 + 0.164587i
\(92\) −1.76917 0.901437i −0.184449 0.0939813i
\(93\) −6.51526 + 8.04568i −0.675601 + 0.834298i
\(94\) 10.8882 + 4.84774i 1.12303 + 0.500007i
\(95\) 0.504703 4.50109i 0.0517814 0.461802i
\(96\) −1.14289 + 1.02906i −0.116646 + 0.105028i
\(97\) −1.12547 7.10596i −0.114275 0.721501i −0.976587 0.215124i \(-0.930984\pi\)
0.862312 0.506377i \(-0.169016\pi\)
\(98\) 1.52298 6.83232i 0.153844 0.690168i
\(99\) −2.07895 + 0.333438i −0.208942 + 0.0335118i
\(100\) 3.76182 3.29374i 0.376182 0.329374i
\(101\) −7.50242 0.788536i −0.746518 0.0784622i −0.276372 0.961051i \(-0.589132\pi\)
−0.470146 + 0.882588i \(0.655799\pi\)
\(102\) 0.578727 0.891161i 0.0573025 0.0882381i
\(103\) 3.38675 2.19938i 0.333707 0.216712i −0.366898 0.930261i \(-0.619580\pi\)
0.700605 + 0.713549i \(0.252914\pi\)
\(104\) 2.09979 1.52559i 0.205901 0.149596i
\(105\) −8.87162 + 2.01869i −0.865781 + 0.197004i
\(106\) −3.88226 11.9484i −0.377079 1.16053i
\(107\) −8.65895 0.453796i −0.837092 0.0438702i −0.371029 0.928621i \(-0.620995\pi\)
−0.466064 + 0.884751i \(0.654328\pi\)
\(108\) 3.51793 + 4.34428i 0.338513 + 0.418029i
\(109\) 3.41695 1.97277i 0.327284 0.188958i −0.327351 0.944903i \(-0.606156\pi\)
0.654635 + 0.755945i \(0.272822\pi\)
\(110\) 0.738397 + 7.37935i 0.0704034 + 0.703593i
\(111\) 1.44903i 0.137536i
\(112\) 0.469290 + 2.60380i 0.0443437 + 0.246036i
\(113\) 5.61742 2.86222i 0.528443 0.269255i −0.169349 0.985556i \(-0.554166\pi\)
0.697791 + 0.716301i \(0.254166\pi\)
\(114\) 0.647672 3.04706i 0.0606600 0.285383i
\(115\) 3.70674 + 2.44394i 0.345655 + 0.227899i
\(116\) 4.79868 + 2.13651i 0.445547 + 0.198370i
\(117\) −0.897407 1.38189i −0.0829653 0.127755i
\(118\) 3.89096 + 7.63645i 0.358192 + 0.702992i
\(119\) −0.778824 1.65382i −0.0713947 0.151605i
\(120\) 2.79607 2.00195i 0.255245 0.182752i
\(121\) −9.54770 5.46273i −0.867973 0.496612i
\(122\) −1.03825 + 3.87479i −0.0939985 + 0.350807i
\(123\) 4.38425 3.55030i 0.395315 0.320120i
\(124\) −4.50443 5.00268i −0.404510 0.449254i
\(125\) −9.17999 + 6.38183i −0.821083 + 0.570808i
\(126\) 1.66631 0.211003i 0.148447 0.0187977i
\(127\) 2.21034 13.9555i 0.196136 1.23835i −0.671443 0.741056i \(-0.734325\pi\)
0.867579 0.497299i \(-0.165675\pi\)
\(128\) −0.544639 0.838671i −0.0481397 0.0741287i
\(129\) −16.1921 + 3.44174i −1.42564 + 0.303029i
\(130\) −5.04616 + 2.86687i −0.442577 + 0.251441i
\(131\) −1.74873 1.00963i −0.152787 0.0882117i 0.421657 0.906755i \(-0.361449\pi\)
−0.574444 + 0.818544i \(0.694782\pi\)
\(132\) 0.00996589 + 5.10066i 0.000867420 + 0.443955i
\(133\) −3.86910 3.70815i −0.335494 0.321537i
\(134\) 8.61735 11.8608i 0.744426 1.02461i
\(135\) −6.73489 10.5302i −0.579647 0.906292i
\(136\) 0.513461 + 0.462322i 0.0440289 + 0.0396438i
\(137\) 18.9524 7.27515i 1.61921 0.621558i 0.631158 0.775654i \(-0.282580\pi\)
0.988056 + 0.154096i \(0.0492467\pi\)
\(138\) 2.37313 + 1.92172i 0.202014 + 0.163588i
\(139\) −3.83701 11.8091i −0.325451 1.00163i −0.971237 0.238116i \(-0.923470\pi\)
0.645786 0.763519i \(-0.276530\pi\)
\(140\) −0.394048 5.90294i −0.0333032 0.498890i
\(141\) −14.8291 10.7740i −1.24883 0.907332i
\(142\) 0.550520 + 2.05457i 0.0461986 + 0.172416i
\(143\) 0.883078 8.56283i 0.0738467 0.716060i
\(144\) −0.549785 + 0.317418i −0.0458154 + 0.0264515i
\(145\) −10.1310 5.94330i −0.841335 0.493565i
\(146\) −9.06445 2.94522i −0.750179 0.243748i
\(147\) −4.47564 + 9.79089i −0.369145 + 0.807539i
\(148\) 0.930607 + 0.147394i 0.0764954 + 0.0121157i
\(149\) −16.0586 + 1.68783i −1.31557 + 0.138272i −0.736185 0.676781i \(-0.763374\pi\)
−0.579386 + 0.815053i \(0.696708\pi\)
\(150\) −6.71208 + 3.75193i −0.548039 + 0.306344i
\(151\) 15.3470 3.26210i 1.24892 0.265466i 0.464430 0.885610i \(-0.346259\pi\)
0.784488 + 0.620144i \(0.212926\pi\)
\(152\) 1.89102 + 0.725896i 0.153382 + 0.0588780i
\(153\) 0.310157 0.310157i 0.0250747 0.0250747i
\(154\) 7.46816 + 4.60724i 0.601801 + 0.371262i
\(155\) 8.76299 + 12.2390i 0.703861 + 0.983062i
\(156\) −3.64652 + 1.62354i −0.291956 + 0.129987i
\(157\) −7.21661 4.68652i −0.575948 0.374025i 0.223551 0.974692i \(-0.428235\pi\)
−0.799499 + 0.600667i \(0.794902\pi\)
\(158\) −0.419838 + 0.0220028i −0.0334005 + 0.00175045i
\(159\) 2.01961 + 19.2153i 0.160165 + 1.52387i
\(160\) 1.00130 + 1.99935i 0.0791594 + 0.158063i
\(161\) 4.96065 1.72912i 0.390954 0.136274i
\(162\) −3.03832 5.96304i −0.238713 0.468500i
\(163\) −3.81253 1.46349i −0.298621 0.114630i 0.204445 0.978878i \(-0.434461\pi\)
−0.503065 + 0.864248i \(0.667794\pi\)
\(164\) 1.83414 + 3.17682i 0.143222 + 0.248068i
\(165\) 1.24877 11.3369i 0.0972165 0.882574i
\(166\) −6.43363 3.71446i −0.499346 0.288298i
\(167\) 2.34312 + 14.7939i 0.181316 + 1.14478i 0.895578 + 0.444905i \(0.146762\pi\)
−0.714262 + 0.699878i \(0.753238\pi\)
\(168\) 0.126609 4.06695i 0.00976811 0.313772i
\(169\) −5.95691 + 1.93552i −0.458224 + 0.148886i
\(170\) −1.02579 1.15528i −0.0786744 0.0886062i
\(171\) 0.523023 1.17473i 0.0399966 0.0898338i
\(172\) −0.563338 10.7491i −0.0429542 0.819614i
\(173\) 21.1493 + 1.10839i 1.60795 + 0.0842692i 0.835020 0.550220i \(-0.185456\pi\)
0.772932 + 0.634489i \(0.218789\pi\)
\(174\) −6.53552 4.74833i −0.495456 0.359970i
\(175\) −0.595185 + 13.2154i −0.0449918 + 0.998987i
\(176\) −3.27680 0.512433i −0.246998 0.0386261i
\(177\) −3.41144 12.7317i −0.256419 0.956970i
\(178\) −2.87632 3.55195i −0.215589 0.266230i
\(179\) 2.50026 + 11.7628i 0.186878 + 0.879193i 0.967240 + 0.253865i \(0.0817017\pi\)
−0.780361 + 0.625329i \(0.784965\pi\)
\(180\) 1.30079 0.568361i 0.0969552 0.0423631i
\(181\) 6.58139 + 9.05850i 0.489191 + 0.673313i 0.980238 0.197819i \(-0.0633860\pi\)
−0.491048 + 0.871133i \(0.663386\pi\)
\(182\) −0.929954 + 6.80375i −0.0689328 + 0.504327i
\(183\) 2.80080 5.49688i 0.207041 0.406341i
\(184\) −1.47558 + 1.32862i −0.108781 + 0.0979469i
\(185\) −2.03121 0.559406i −0.149338 0.0411283i
\(186\) 5.17643 + 8.96583i 0.379554 + 0.657407i
\(187\) 2.27853 0.243985i 0.166623 0.0178420i
\(188\) 8.42775 8.42775i 0.614657 0.614657i
\(189\) −14.7384 1.23324i −1.07206 0.0897051i
\(190\) −4.02126 2.08423i −0.291733 0.151206i
\(191\) 18.6278 + 3.95946i 1.34786 + 0.286497i 0.824620 0.565687i \(-0.191389\pi\)
0.523242 + 0.852184i \(0.324722\pi\)
\(192\) 0.551137 + 1.43576i 0.0397749 + 0.103617i
\(193\) −4.64356 12.0969i −0.334251 0.870753i −0.992970 0.118364i \(-0.962235\pi\)
0.658719 0.752389i \(-0.271098\pi\)
\(194\) −7.03732 1.49583i −0.505250 0.107394i
\(195\) 8.50763 2.69914i 0.609244 0.193289i
\(196\) −5.83273 3.87030i −0.416624 0.276450i
\(197\) 7.62041 7.62041i 0.542931 0.542931i −0.381456 0.924387i \(-0.624577\pi\)
0.924387 + 0.381456i \(0.124577\pi\)
\(198\) −0.433737 + 2.06036i −0.0308243 + 0.146423i
\(199\) 8.53451 + 14.7822i 0.604995 + 1.04788i 0.992052 + 0.125827i \(0.0401584\pi\)
−0.387057 + 0.922056i \(0.626508\pi\)
\(200\) −1.72685 4.69233i −0.122107 0.331798i
\(201\) −16.7556 + 15.0868i −1.18185 + 1.06414i
\(202\) −3.42479 + 6.72152i −0.240967 + 0.472925i
\(203\) −12.8659 + 5.25489i −0.903007 + 0.368821i
\(204\) −0.624573 0.859651i −0.0437289 0.0601876i
\(205\) −3.28416 7.51636i −0.229376 0.524966i
\(206\) −0.839598 3.95000i −0.0584975 0.275209i
\(207\) 0.793273 + 0.979611i 0.0551363 + 0.0680876i
\(208\) −0.671761 2.50705i −0.0465782 0.173832i
\(209\) 5.97984 3.06161i 0.413634 0.211776i
\(210\) −1.29469 + 9.00580i −0.0893423 + 0.621459i
\(211\) −9.02439 6.55660i −0.621265 0.451375i 0.232098 0.972692i \(-0.425441\pi\)
−0.853363 + 0.521317i \(0.825441\pi\)
\(212\) −12.5460 0.657510i −0.861666 0.0451580i
\(213\) −0.171201 3.26672i −0.0117305 0.223832i
\(214\) −3.52675 + 7.92120i −0.241083 + 0.541482i
\(215\) −1.42651 + 24.0265i −0.0972871 + 1.63859i
\(216\) 5.31645 1.72742i 0.361739 0.117536i
\(217\) 17.8020 + 0.554197i 1.20848 + 0.0376213i
\(218\) −0.617220 3.89697i −0.0418034 0.263936i
\(219\) 12.6939 + 7.32885i 0.857777 + 0.495238i
\(220\) 7.15383 + 1.95517i 0.482311 + 0.131817i
\(221\) 0.896649 + 1.55304i 0.0603151 + 0.104469i
\(222\) −1.35278 0.519285i −0.0907929 0.0348521i
\(223\) −11.9839 23.5197i −0.802502 1.57500i −0.818069 0.575120i \(-0.804955\pi\)
0.0155675 0.999879i \(-0.495045\pi\)
\(224\) 2.59903 + 0.494998i 0.173655 + 0.0330735i
\(225\) −3.03216 + 0.938865i −0.202144 + 0.0625910i
\(226\) −0.659008 6.27004i −0.0438366 0.417077i
\(227\) 26.0307 1.36421i 1.72772 0.0905458i 0.837602 0.546281i \(-0.183957\pi\)
0.890116 + 0.455735i \(0.150623\pi\)
\(228\) −2.61257 1.69662i −0.173021 0.112361i
\(229\) 3.32541 1.48057i 0.219750 0.0978388i −0.293909 0.955833i \(-0.594956\pi\)
0.513659 + 0.857995i \(0.328290\pi\)
\(230\) 3.60999 2.58471i 0.238036 0.170431i
\(231\) −9.76120 9.31861i −0.642240 0.613120i
\(232\) 3.71430 3.71430i 0.243856 0.243856i
\(233\) 10.8763 + 4.17501i 0.712528 + 0.273514i 0.687512 0.726173i \(-0.258703\pi\)
0.0250162 + 0.999687i \(0.492036\pi\)
\(234\) −1.61170 + 0.342578i −0.105360 + 0.0223950i
\(235\) −20.8276 + 16.6277i −1.35864 + 1.08467i
\(236\) 8.52364 0.895870i 0.554841 0.0583162i
\(237\) 0.638598 + 0.101144i 0.0414814 + 0.00657000i
\(238\) −1.82308 + 0.134419i −0.118173 + 0.00871309i
\(239\) −5.66665 1.84121i −0.366545 0.119098i 0.119952 0.992780i \(-0.461726\pi\)
−0.486498 + 0.873682i \(0.661726\pi\)
\(240\) −0.866961 3.32779i −0.0559621 0.214808i
\(241\) −10.2302 + 5.90639i −0.658983 + 0.380464i −0.791889 0.610665i \(-0.790902\pi\)
0.132906 + 0.991129i \(0.457569\pi\)
\(242\) −8.52149 + 6.95588i −0.547782 + 0.447141i
\(243\) −1.67656 6.25701i −0.107551 0.401387i
\(244\) 3.24536 + 2.35789i 0.207763 + 0.150948i
\(245\) 11.9968 + 10.0537i 0.766448 + 0.642306i
\(246\) −1.74331 5.36537i −0.111150 0.342083i
\(247\) 4.08570 + 3.30853i 0.259967 + 0.210517i
\(248\) −6.28465 + 2.41245i −0.399076 + 0.153191i
\(249\) 8.49042 + 7.64481i 0.538059 + 0.484470i
\(250\) 2.66814 + 10.8573i 0.168748 + 0.686676i
\(251\) 4.74926 6.53680i 0.299771 0.412599i −0.632386 0.774653i \(-0.717924\pi\)
0.932157 + 0.362054i \(0.117924\pi\)
\(252\) 0.400165 1.63126i 0.0252080 0.102759i
\(253\) 0.0128669 + 6.58543i 0.000808936 + 0.414023i
\(254\) −12.2365 7.06475i −0.767787 0.443282i
\(255\) 1.17369 + 2.06589i 0.0734996 + 0.129371i
\(256\) −0.978148 + 0.207912i −0.0611342 + 0.0129945i
\(257\) −0.216457 0.333315i −0.0135022 0.0207916i 0.831855 0.554993i \(-0.187279\pi\)
−0.845357 + 0.534201i \(0.820612\pi\)
\(258\) −2.58960 + 16.3501i −0.161221 + 1.01791i
\(259\) −1.98518 + 1.50776i −0.123353 + 0.0936875i
\(260\) 0.868076 + 5.73839i 0.0538358 + 0.355880i
\(261\) −2.23134 2.47815i −0.138116 0.153394i
\(262\) −1.56926 + 1.27076i −0.0969491 + 0.0785078i
\(263\) −5.89658 + 22.0063i −0.363599 + 1.35697i 0.505712 + 0.862702i \(0.331230\pi\)
−0.869311 + 0.494266i \(0.835437\pi\)
\(264\) 4.76544 + 1.81861i 0.293293 + 0.111928i
\(265\) 27.7153 + 4.58714i 1.70253 + 0.281786i
\(266\) −4.84842 + 2.28324i −0.297275 + 0.139994i
\(267\) 3.19111 + 6.26291i 0.195293 + 0.383284i
\(268\) −7.98480 12.2955i −0.487749 0.751068i
\(269\) −17.8333 7.93990i −1.08732 0.484105i −0.216786 0.976219i \(-0.569557\pi\)
−0.870530 + 0.492115i \(0.836224\pi\)
\(270\) −12.2443 + 2.51389i −0.745166 + 0.152990i
\(271\) 3.57115 16.8010i 0.216932 1.02059i −0.726024 0.687669i \(-0.758634\pi\)
0.942956 0.332916i \(-0.108033\pi\)
\(272\) 0.615623 0.313676i 0.0373276 0.0190194i
\(273\) 3.57442 9.93753i 0.216334 0.601447i
\(274\) 20.3008i 1.22641i
\(275\) −15.4097 6.12716i −0.929238 0.369482i
\(276\) 2.64454 1.52682i 0.159183 0.0919041i
\(277\) −15.9834 19.7379i −0.960352 1.18594i −0.982515 0.186182i \(-0.940389\pi\)
0.0221629 0.999754i \(-0.492945\pi\)
\(278\) −12.3998 0.649846i −0.743691 0.0389752i
\(279\) 1.32061 + 4.06441i 0.0790627 + 0.243330i
\(280\) −5.65209 1.74755i −0.337777 0.104436i
\(281\) 2.55805 1.85853i 0.152600 0.110871i −0.508865 0.860846i \(-0.669935\pi\)
0.661465 + 0.749976i \(0.269935\pi\)
\(282\) −15.3726 + 9.98311i −0.915427 + 0.594485i
\(283\) 0.810682 1.24834i 0.0481900 0.0742061i −0.813754 0.581209i \(-0.802580\pi\)
0.861944 + 0.507003i \(0.169247\pi\)
\(284\) 2.11539 + 0.222337i 0.125526 + 0.0131933i
\(285\) 5.38275 + 4.42110i 0.318847 + 0.261883i
\(286\) −7.67763 3.89307i −0.453987 0.230202i
\(287\) −9.42589 2.31227i −0.556393 0.136489i
\(288\) 0.0993104 + 0.627021i 0.00585192 + 0.0369476i
\(289\) 12.2787 11.0558i 0.722276 0.650340i
\(290\) −9.17918 + 7.32822i −0.539020 + 0.430328i
\(291\) 10.1080 + 4.50036i 0.592539 + 0.263816i
\(292\) −5.99801 + 7.40692i −0.351007 + 0.433457i
\(293\) −11.7900 6.00733i −0.688782 0.350952i 0.0743161 0.997235i \(-0.476323\pi\)
−0.763098 + 0.646283i \(0.776323\pi\)
\(294\) 7.53666 + 7.68711i 0.439547 + 0.448322i
\(295\) −19.1640 0.133055i −1.11577 0.00774678i
\(296\) 0.471103 0.815975i 0.0273823 0.0474276i
\(297\) 7.50783 16.9519i 0.435648 0.983650i
\(298\) −4.17916 + 15.5968i −0.242092 + 0.903501i
\(299\) −4.70801 + 2.09614i −0.272271 + 0.121223i
\(300\) 1.09734 + 7.61084i 0.0633547 + 0.439412i
\(301\) 21.5636 + 18.6021i 1.24291 + 1.07221i
\(302\) 2.45443 15.4967i 0.141236 0.891732i
\(303\) 7.30112 9.01613i 0.419438 0.517963i
\(304\) 1.35537 1.50529i 0.0777355 0.0863341i
\(305\) −6.62414 6.04820i −0.379297 0.346319i
\(306\) −0.178406 0.400707i −0.0101988 0.0229069i
\(307\) 6.68874 + 6.68874i 0.381747 + 0.381747i 0.871731 0.489984i \(-0.162998\pi\)
−0.489984 + 0.871731i \(0.662998\pi\)
\(308\) 6.97757 5.32104i 0.397584 0.303194i
\(309\) 6.21045i 0.353300i
\(310\) 14.5665 3.79488i 0.827321 0.215535i
\(311\) −0.531955 2.50265i −0.0301644 0.141912i 0.960488 0.278320i \(-0.0897776\pi\)
−0.990653 + 0.136408i \(0.956444\pi\)
\(312\) 0.208905 + 3.98615i 0.0118269 + 0.225671i
\(313\) −6.33410 5.12925i −0.358024 0.289922i 0.433385 0.901209i \(-0.357319\pi\)
−0.791409 + 0.611286i \(0.790652\pi\)
\(314\) −6.96144 + 5.05778i −0.392857 + 0.285427i
\(315\) −1.29568 + 3.52517i −0.0730032 + 0.198621i
\(316\) −0.129915 + 0.399837i −0.00730829 + 0.0224926i
\(317\) −2.57339 + 6.70390i −0.144536 + 0.376529i −0.986669 0.162741i \(-0.947966\pi\)
0.842133 + 0.539270i \(0.181300\pi\)
\(318\) 18.6628 + 5.00068i 1.04656 + 0.280424i
\(319\) −0.945767 17.3959i −0.0529528 0.973984i
\(320\) 2.22539 0.218288i 0.124403 0.0122026i
\(321\) 7.83809 10.7882i 0.437479 0.602139i
\(322\) 0.163465 5.25082i 0.00910952 0.292617i
\(323\) −0.635369 + 1.24698i −0.0353529 + 0.0693840i
\(324\) −6.65581 + 0.699554i −0.369767 + 0.0388641i
\(325\) −0.499171 12.9678i −0.0276890 0.719325i
\(326\) −2.73258 + 3.03484i −0.151344 + 0.168084i
\(327\) −0.317569 + 6.05958i −0.0175616 + 0.335095i
\(328\) 3.62312 0.573846i 0.200053 0.0316853i
\(329\) 0.669686 + 31.5266i 0.0369210 + 1.73812i
\(330\) −10.1364 5.22860i −0.557988 0.287825i
\(331\) 3.15630 5.46686i 0.173486 0.300486i −0.766150 0.642661i \(-0.777830\pi\)
0.939636 + 0.342175i \(0.111164\pi\)
\(332\) −5.77335 + 4.67517i −0.316854 + 0.256583i
\(333\) −0.501649 0.325775i −0.0274902 0.0178523i
\(334\) 14.6510 + 3.11416i 0.801664 + 0.170399i
\(335\) 14.6797 + 29.3119i 0.802039 + 1.60148i
\(336\) −3.75146 1.57567i −0.204659 0.0859596i
\(337\) 21.2052 + 10.8046i 1.15512 + 0.588563i 0.923256 0.384185i \(-0.125518\pi\)
0.231864 + 0.972748i \(0.425518\pi\)
\(338\) −0.327804 + 6.25488i −0.0178302 + 0.340221i
\(339\) −1.01349 + 9.64275i −0.0550455 + 0.523723i
\(340\) −1.44616 + 0.543639i −0.0784290 + 0.0294830i
\(341\) −7.96046 + 20.8594i −0.431083 + 1.12960i
\(342\) −0.909270 0.909270i −0.0491677 0.0491677i
\(343\) 18.0707 4.05605i 0.975723 0.219006i
\(344\) −10.2371 3.32622i −0.551946 0.179338i
\(345\) −6.25697 + 2.73389i −0.336864 + 0.147188i
\(346\) 8.61400 19.3474i 0.463092 1.04012i
\(347\) 31.5873 12.1252i 1.69569 0.650916i 0.697831 0.716262i \(-0.254148\pi\)
0.997863 + 0.0653460i \(0.0208151\pi\)
\(348\) −6.77507 + 4.39978i −0.363182 + 0.235853i
\(349\) −2.15403 + 6.62944i −0.115303 + 0.354866i −0.992010 0.126159i \(-0.959735\pi\)
0.876707 + 0.481024i \(0.159735\pi\)
\(350\) 12.1243 + 5.29161i 0.648071 + 0.282849i
\(351\) 14.5089 0.774427
\(352\) −1.65270 + 2.87552i −0.0880891 + 0.153266i
\(353\) −29.3344 7.86013i −1.56131 0.418352i −0.628234 0.778025i \(-0.716222\pi\)
−0.933079 + 0.359672i \(0.882889\pi\)
\(354\) −13.1086 1.37777i −0.696713 0.0732275i
\(355\) −4.64531 1.02115i −0.246547 0.0541970i
\(356\) −4.34681 + 1.41237i −0.230381 + 0.0748552i
\(357\) 2.78544 + 0.380722i 0.147421 + 0.0201499i
\(358\) 11.8775 + 1.88122i 0.627747 + 0.0994254i
\(359\) −6.41453 + 30.1780i −0.338546 + 1.59273i 0.398682 + 0.917089i \(0.369468\pi\)
−0.737228 + 0.675645i \(0.763865\pi\)
\(360\) −0.0644490 1.41807i −0.00339676 0.0747391i
\(361\) 1.55717 14.8155i 0.0819564 0.779763i
\(362\) 10.8154 2.89798i 0.568445 0.152314i
\(363\) 15.0430 7.73900i 0.789554 0.406192i
\(364\) 6.01858 + 3.30643i 0.315459 + 0.173304i
\(365\) 15.1740 14.9647i 0.794243 0.783290i
\(366\) −4.12806 4.58468i −0.215777 0.239645i
\(367\) 34.6893 1.81799i 1.81077 0.0948982i 0.883301 0.468807i \(-0.155316\pi\)
0.927466 + 0.373909i \(0.121983\pi\)
\(368\) 0.711570 + 1.85370i 0.0370932 + 0.0966310i
\(369\) −0.243422 2.31600i −0.0126720 0.120566i
\(370\) −1.25017 + 1.69583i −0.0649934 + 0.0881620i
\(371\) 24.2237 22.7610i 1.25763 1.18169i
\(372\) 10.2254 1.61954i 0.530162 0.0839694i
\(373\) −11.5327 + 3.09017i −0.597139 + 0.160003i −0.544714 0.838622i \(-0.683362\pi\)
−0.0524248 + 0.998625i \(0.516695\pi\)
\(374\) 0.588772 2.21463i 0.0304447 0.114516i
\(375\) −0.542068 17.1858i −0.0279923 0.887471i
\(376\) −4.84774 10.8882i −0.250003 0.561517i
\(377\) 12.1476 6.18952i 0.625634 0.318777i
\(378\) −6.43309 + 13.3175i −0.330882 + 0.684978i
\(379\) −4.21141 5.79650i −0.216325 0.297746i 0.687039 0.726621i \(-0.258910\pi\)
−0.903364 + 0.428874i \(0.858910\pi\)
\(380\) −3.38688 + 3.00725i −0.173743 + 0.154269i
\(381\) 16.1485 + 14.5401i 0.827310 + 0.744914i
\(382\) 10.3721 15.9716i 0.530682 0.817179i
\(383\) −0.695107 + 1.81082i −0.0355183 + 0.0925284i −0.950193 0.311663i \(-0.899114\pi\)
0.914674 + 0.404192i \(0.132447\pi\)
\(384\) 1.53791 0.0784811
\(385\) −16.8310 + 10.0855i −0.857787 + 0.514006i
\(386\) −12.9575 −0.659521
\(387\) −2.44884 + 6.37945i −0.124482 + 0.324286i
\(388\) −3.91843 + 6.03385i −0.198928 + 0.306322i
\(389\) 6.40493 + 5.76702i 0.324743 + 0.292400i 0.815335 0.578990i \(-0.196553\pi\)
−0.490592 + 0.871389i \(0.663219\pi\)
\(390\) 0.528998 8.90984i 0.0267869 0.451167i
\(391\) −0.806383 1.10989i −0.0407805 0.0561296i
\(392\) −5.70350 + 4.05833i −0.288070 + 0.204977i
\(393\) 2.76696 1.40984i 0.139575 0.0711169i
\(394\) −4.38335 9.84517i −0.220830 0.495993i
\(395\) 0.388316 0.856125i 0.0195383 0.0430763i
\(396\) 1.76807 + 1.14329i 0.0888489 + 0.0574527i
\(397\) −2.92465 + 0.783657i −0.146784 + 0.0393306i −0.331463 0.943468i \(-0.607542\pi\)
0.184679 + 0.982799i \(0.440875\pi\)
\(398\) 16.8589 2.67018i 0.845059 0.133844i
\(399\) 8.02354 1.88440i 0.401680 0.0943380i
\(400\) −4.99952 0.0694267i −0.249976 0.00347133i
\(401\) −2.31036 21.9816i −0.115374 1.09771i −0.887044 0.461685i \(-0.847245\pi\)
0.771670 0.636023i \(-0.219422\pi\)
\(402\) 8.08006 + 21.0493i 0.402997 + 1.04984i
\(403\) −17.4483 + 0.914425i −0.869160 + 0.0455507i
\(404\) 5.04775 + 5.60609i 0.251135 + 0.278914i
\(405\) 14.9645 + 0.103898i 0.743590 + 0.00516275i
\(406\) 0.295146 + 13.8945i 0.0146478 + 0.689573i
\(407\) −0.971467 2.97011i −0.0481538 0.147223i
\(408\) −1.02638 + 0.275018i −0.0508134 + 0.0136154i
\(409\) 3.35610 31.9312i 0.165948 1.57889i −0.521879 0.853020i \(-0.674769\pi\)
0.687827 0.725874i \(-0.258565\pi\)
\(410\) −8.19407 + 0.372406i −0.404676 + 0.0183918i
\(411\) −6.49116 + 30.5385i −0.320185 + 1.50635i
\(412\) −3.98852 0.631720i −0.196501 0.0311226i
\(413\) −13.8928 + 17.9214i −0.683619 + 0.881853i
\(414\) 1.19883 0.389523i 0.0589192 0.0191440i
\(415\) 13.9941 8.95036i 0.686943 0.439356i
\(416\) −2.58127 0.271302i −0.126557 0.0133017i
\(417\) 18.4453 + 4.94239i 0.903268 + 0.242030i
\(418\) −0.715278 6.67984i −0.0349854 0.326722i
\(419\) −19.3763 −0.946594 −0.473297 0.880903i \(-0.656936\pi\)
−0.473297 + 0.880903i \(0.656936\pi\)
\(420\) 7.94366 + 4.43609i 0.387611 + 0.216459i
\(421\) −10.3903 + 31.9779i −0.506390 + 1.55851i 0.292030 + 0.956409i \(0.405669\pi\)
−0.798421 + 0.602100i \(0.794331\pi\)
\(422\) −9.35517 + 6.07532i −0.455402 + 0.295742i
\(423\) −7.06383 + 2.71155i −0.343455 + 0.131840i
\(424\) −5.10994 + 11.4771i −0.248161 + 0.557378i
\(425\) 3.34903 0.847709i 0.162452 0.0411199i
\(426\) −3.11110 1.01086i −0.150733 0.0489762i
\(427\) −10.4451 + 1.88255i −0.505473 + 0.0911028i
\(428\) 6.13121 + 6.13121i 0.296363 + 0.296363i
\(429\) 10.3047 + 8.31126i 0.497514 + 0.401272i
\(430\) 21.9194 + 9.94208i 1.05705 + 0.479450i
\(431\) 2.40490 22.8811i 0.115840 1.10214i −0.769965 0.638086i \(-0.779726\pi\)
0.885805 0.464057i \(-0.153607\pi\)
\(432\) 0.292560 5.58239i 0.0140758 0.268583i
\(433\) 17.8891 + 9.11497i 0.859697 + 0.438037i 0.827514 0.561445i \(-0.189754\pi\)
0.0321825 + 0.999482i \(0.489754\pi\)
\(434\) 6.89704 16.4210i 0.331069 0.788232i
\(435\) 16.1515 8.08882i 0.774403 0.387829i
\(436\) −3.85933 0.820326i −0.184828 0.0392865i
\(437\) −3.37307 2.19050i −0.161356 0.104786i
\(438\) 11.3912 9.22439i 0.544291 0.440758i
\(439\) 9.79684 16.9686i 0.467578 0.809868i −0.531736 0.846910i \(-0.678460\pi\)
0.999314 + 0.0370420i \(0.0117935\pi\)
\(440\) 4.38901 5.97801i 0.209238 0.284990i
\(441\) 2.38335 + 3.75067i 0.113493 + 0.178603i
\(442\) 1.77122 0.280534i 0.0842483 0.0133436i
\(443\) −0.567605 + 10.8306i −0.0269677 + 0.514575i 0.951433 + 0.307857i \(0.0996117\pi\)
−0.978400 + 0.206718i \(0.933722\pi\)
\(444\) −0.969589 + 1.07684i −0.0460147 + 0.0511045i
\(445\) 10.0112 2.05540i 0.474574 0.0974351i
\(446\) −26.2522 + 2.75922i −1.24308 + 0.130653i
\(447\) 11.2738 22.1261i 0.533232 1.04653i
\(448\) 1.39353 2.24902i 0.0658382 0.106256i
\(449\) −7.51222 + 10.3397i −0.354524 + 0.487960i −0.948613 0.316439i \(-0.897513\pi\)
0.594089 + 0.804399i \(0.297513\pi\)
\(450\) −0.210122 + 3.16722i −0.00990526 + 0.149304i
\(451\) 6.60630 10.2165i 0.311078 0.481074i
\(452\) −6.08976 1.63175i −0.286438 0.0767509i
\(453\) −8.64724 + 22.5268i −0.406283 + 1.05840i
\(454\) 8.05497 24.7906i 0.378038 1.16348i
\(455\) −12.5503 8.84699i −0.588366 0.414753i
\(456\) −2.52019 + 1.83103i −0.118019 + 0.0857457i
\(457\) 18.0740 + 14.6361i 0.845467 + 0.684646i 0.950805 0.309791i \(-0.100259\pi\)
−0.105337 + 0.994437i \(0.533592\pi\)
\(458\) −0.190509 3.63513i −0.00890191 0.169858i
\(459\) 0.803024 + 3.77793i 0.0374819 + 0.176339i
\(460\) −1.11933 4.29649i −0.0521890 0.200325i
\(461\) 20.5337i 0.956348i 0.878265 + 0.478174i \(0.158701\pi\)
−0.878265 + 0.478174i \(0.841299\pi\)
\(462\) −12.1978 + 5.77337i −0.567492 + 0.268602i
\(463\) 5.21922 + 5.21922i 0.242558 + 0.242558i 0.817908 0.575350i \(-0.195134\pi\)
−0.575350 + 0.817908i \(0.695134\pi\)
\(464\) −2.13651 4.79868i −0.0991851 0.222773i
\(465\) −23.1258 + 1.05103i −1.07243 + 0.0487402i
\(466\) 7.79541 8.65768i 0.361116 0.401059i
\(467\) −19.8603 + 24.5255i −0.919027 + 1.13490i 0.0714803 + 0.997442i \(0.477228\pi\)
−0.990507 + 0.137462i \(0.956106\pi\)
\(468\) −0.257759 + 1.62742i −0.0119149 + 0.0752277i
\(469\) 38.1037 + 7.25703i 1.75946 + 0.335098i
\(470\) 8.05940 + 25.4031i 0.371752 + 1.17176i
\(471\) 12.0893 5.38252i 0.557047 0.248013i
\(472\) 2.21823 8.27855i 0.102102 0.381051i
\(473\) −30.8820 + 17.9103i −1.41996 + 0.823515i
\(474\) 0.323279 0.559936i 0.0148487 0.0257187i
\(475\) 8.27544 5.83863i 0.379703 0.267895i
\(476\) −0.527843 + 1.75016i −0.0241936 + 0.0802186i
\(477\) 7.10633 + 3.62086i 0.325377 + 0.165788i
\(478\) −3.74966 + 4.63045i −0.171506 + 0.211792i
\(479\) −16.4019 7.30261i −0.749424 0.333665i −0.00376496 0.999993i \(-0.501198\pi\)
−0.745659 + 0.666328i \(0.767865\pi\)
\(480\) −3.41745 0.383196i −0.155985 0.0174904i
\(481\) 1.81735 1.63635i 0.0828639 0.0746110i
\(482\) 1.84793 + 11.6673i 0.0841707 + 0.531433i
\(483\) −1.92485 + 7.84655i −0.0875835 + 0.357031i
\(484\) 3.44004 + 10.4483i 0.156366 + 0.474921i
\(485\) 10.2107 12.4317i 0.463646 0.564496i
\(486\) −6.44225 0.677107i −0.292226 0.0307142i
\(487\) 4.67128 7.19314i 0.211676 0.325952i −0.716845 0.697233i \(-0.754414\pi\)
0.928521 + 0.371280i \(0.121081\pi\)
\(488\) 3.36431 2.18481i 0.152295 0.0989017i
\(489\) 5.08101 3.69157i 0.229771 0.166939i
\(490\) 13.6852 7.59707i 0.618234 0.343200i
\(491\) 5.82642 + 17.9319i 0.262942 + 0.809254i 0.992160 + 0.124972i \(0.0398841\pi\)
−0.729218 + 0.684282i \(0.760116\pi\)
\(492\) −5.63375 0.295252i −0.253989 0.0133110i
\(493\) 2.28401 + 2.82052i 0.102867 + 0.127030i
\(494\) 4.55297 2.62866i 0.204848 0.118269i
\(495\) −3.64404 2.98111i −0.163787 0.133991i
\(496\) 6.73177i 0.302265i
\(497\) −4.29729 + 3.63367i −0.192760 + 0.162992i
\(498\) 10.1797 5.18684i 0.456165 0.232428i
\(499\) 5.11447 24.0617i 0.228955 1.07715i −0.702046 0.712132i \(-0.747730\pi\)
0.931001 0.365017i \(-0.118937\pi\)
\(500\) 11.0923 + 1.39999i 0.496065 + 0.0626094i
\(501\) −21.0437 9.36926i −0.940163 0.418588i
\(502\) −4.40064 6.77640i −0.196410 0.302445i
\(503\) 8.66732 + 17.0106i 0.386457 + 0.758464i 0.999501 0.0315843i \(-0.0100553\pi\)
−0.613044 + 0.790049i \(0.710055\pi\)
\(504\) −1.37950 0.958176i −0.0614479 0.0426805i
\(505\) −9.81996 13.7153i −0.436983 0.610321i
\(506\) 6.15264 + 2.34800i 0.273518 + 0.104381i
\(507\) 2.49311 9.30441i 0.110723 0.413223i
\(508\) −10.9807 + 8.89198i −0.487189 + 0.394518i
\(509\) 5.57953 + 6.19669i 0.247308 + 0.274664i 0.853999 0.520274i \(-0.174170\pi\)
−0.606691 + 0.794938i \(0.707504\pi\)
\(510\) 2.34929 0.355389i 0.104028 0.0157369i
\(511\) −3.16784 25.0167i −0.140137 1.10667i
\(512\) −0.156434 + 0.987688i −0.00691349 + 0.0436501i
\(513\) 6.16694 + 9.49626i 0.272277 + 0.419270i
\(514\) −0.388748 + 0.0826309i −0.0171469 + 0.00364469i
\(515\) 8.70567 + 2.39758i 0.383617 + 0.105650i
\(516\) 14.3361 + 8.27694i 0.631111 + 0.364372i
\(517\) −37.6187 12.1418i −1.65447 0.533998i
\(518\) 0.696187 + 2.39366i 0.0305887 + 0.105171i
\(519\) −19.1444 + 26.3500i −0.840344 + 1.15663i
\(520\) 5.66834 + 1.24604i 0.248573 + 0.0546423i
\(521\) 3.55791 + 3.20355i 0.155875 + 0.140350i 0.743378 0.668872i \(-0.233222\pi\)
−0.587503 + 0.809222i \(0.699889\pi\)
\(522\) −3.11319 + 1.19504i −0.136261 + 0.0523056i
\(523\) −4.69805 3.80440i −0.205431 0.166355i 0.521084 0.853506i \(-0.325528\pi\)
−0.726515 + 0.687151i \(0.758861\pi\)
\(524\) 0.623985 + 1.92043i 0.0272589 + 0.0838943i
\(525\) −16.5466 11.8369i −0.722154 0.516606i
\(526\) 18.4315 + 13.3913i 0.803653 + 0.583888i
\(527\) −1.20381 4.49270i −0.0524390 0.195705i
\(528\) 3.40560 3.79719i 0.148210 0.165252i
\(529\) −16.5042 + 9.52872i −0.717575 + 0.414292i
\(530\) 14.2147 24.2305i 0.617448 1.05251i
\(531\) −5.17463 1.68134i −0.224560 0.0729639i
\(532\) 0.394069 + 5.34462i 0.0170850 + 0.231719i
\(533\) 9.40375 + 1.48941i 0.407321 + 0.0645134i
\(534\) 6.99052 0.734733i 0.302509 0.0317950i
\(535\) −12.0967 15.1521i −0.522987 0.655083i
\(536\) −14.3403 + 3.04813i −0.619408 + 0.131659i
\(537\) −17.2659 6.62775i −0.745078 0.286009i
\(538\) −13.8034 + 13.8034i −0.595108 + 0.595108i
\(539\) −2.60976 + 23.0692i −0.112410 + 0.993662i
\(540\) −2.04106 + 12.3320i −0.0878331 + 0.530683i
\(541\) −7.19594 + 3.20384i −0.309378 + 0.137744i −0.555552 0.831482i \(-0.687493\pi\)
0.246174 + 0.969226i \(0.420826\pi\)
\(542\) −14.4053 9.35488i −0.618759 0.401827i
\(543\) −17.1962 + 0.901217i −0.737962 + 0.0386749i
\(544\) −0.0722219 0.687145i −0.00309649 0.0294611i
\(545\) 8.37158 + 2.78450i 0.358599 + 0.119275i
\(546\) −7.99653 6.89831i −0.342220 0.295220i
\(547\) 13.6698 + 26.8285i 0.584480 + 1.14711i 0.974097 + 0.226129i \(0.0726072\pi\)
−0.389618 + 0.920977i \(0.627393\pi\)
\(548\) −18.9524 7.27515i −0.809607 0.310779i
\(549\) −1.27332 2.20545i −0.0543439 0.0941264i
\(550\) −11.2425 + 12.1904i −0.479383 + 0.519800i
\(551\) 9.21442 + 5.31995i 0.392548 + 0.226637i
\(552\) −0.477696 3.01605i −0.0203321 0.128372i
\(553\) −0.525912 0.980128i −0.0223640 0.0416793i
\(554\) −24.1549 + 7.84840i −1.02624 + 0.333447i
\(555\) 2.42288 2.15130i 0.102845 0.0913175i
\(556\) −5.05038 + 11.3433i −0.214184 + 0.481065i
\(557\) 0.538068 + 10.2670i 0.0227987 + 0.435025i 0.986053 + 0.166433i \(0.0532250\pi\)
−0.963254 + 0.268592i \(0.913442\pi\)
\(558\) 4.26772 + 0.223662i 0.180667 + 0.00946836i
\(559\) −22.6019 16.4213i −0.955959 0.694545i
\(560\) −3.65700 + 4.65041i −0.154537 + 0.196516i
\(561\) −1.59382 + 3.14321i −0.0672910 + 0.132706i
\(562\) −0.818365 3.05418i −0.0345207 0.128833i
\(563\) −22.1955 27.4091i −0.935427 1.15516i −0.987674 0.156522i \(-0.949972\pi\)
0.0522473 0.998634i \(-0.483362\pi\)
\(564\) 3.81097 + 17.9292i 0.160471 + 0.754956i
\(565\) 13.1257 + 5.14334i 0.552204 + 0.216382i
\(566\) −0.874904 1.20420i −0.0367750 0.0506164i
\(567\) 10.8484 13.9942i 0.455589 0.587700i
\(568\) 0.965659 1.89521i 0.0405181 0.0795213i
\(569\) −1.51102 + 1.36053i −0.0633452 + 0.0570362i −0.700195 0.713951i \(-0.746904\pi\)
0.636850 + 0.770988i \(0.280237\pi\)
\(570\) 6.05646 3.44085i 0.253677 0.144122i
\(571\) 14.9684 + 25.9260i 0.626408 + 1.08497i 0.988267 + 0.152737i \(0.0488089\pi\)
−0.361859 + 0.932233i \(0.617858\pi\)
\(572\) −6.38591 + 5.77253i −0.267008 + 0.241362i
\(573\) −20.7097 + 20.7097i −0.865159 + 0.865159i
\(574\) −5.53663 + 7.97118i −0.231095 + 0.332711i
\(575\) 1.41677 + 9.82632i 0.0590832 + 0.409786i
\(576\) 0.620964 + 0.131990i 0.0258735 + 0.00549958i
\(577\) 0.631224 + 1.64440i 0.0262782 + 0.0684571i 0.946092 0.323898i \(-0.104994\pi\)
−0.919814 + 0.392356i \(0.871660\pi\)
\(578\) −5.92118 15.4252i −0.246288 0.641603i
\(579\) 19.4920 + 4.14316i 0.810061 + 0.172184i
\(580\) 3.55196 + 11.1957i 0.147487 + 0.464876i
\(581\) 1.63892 19.5866i 0.0679938 0.812589i
\(582\) 7.82381 7.82381i 0.324308 0.324308i
\(583\) 17.0221 + 38.0321i 0.704983 + 1.57513i
\(584\) 4.76546 + 8.25403i 0.197196 + 0.341554i
\(585\) 0.978276 3.55214i 0.0404467 0.146863i
\(586\) −9.83350 + 8.85412i −0.406218 + 0.365760i
\(587\) −18.8548 + 37.0047i −0.778222 + 1.52735i 0.0699053 + 0.997554i \(0.477730\pi\)
−0.848127 + 0.529793i \(0.822270\pi\)
\(588\) 9.87744 4.28126i 0.407339 0.176556i
\(589\) −8.01482 11.0314i −0.330245 0.454543i
\(590\) −6.99196 + 17.8434i −0.287855 + 0.734601i
\(591\) 3.44590 + 16.2117i 0.141745 + 0.666859i
\(592\) −0.592950 0.732232i −0.0243701 0.0300946i
\(593\) 3.52585 + 13.1586i 0.144789 + 0.540361i 0.999765 + 0.0216922i \(0.00690540\pi\)
−0.854976 + 0.518668i \(0.826428\pi\)
\(594\) −13.1354 13.0842i −0.538952 0.536851i
\(595\) 1.60902 3.75759i 0.0659636 0.154046i
\(596\) 13.0632 + 9.49100i 0.535091 + 0.388766i
\(597\) −26.2146 1.37385i −1.07289 0.0562279i
\(598\) 0.269716 + 5.14649i 0.0110295 + 0.210456i
\(599\) 2.74640 6.16851i 0.112215 0.252038i −0.848704 0.528867i \(-0.822617\pi\)
0.960919 + 0.276829i \(0.0892835\pi\)
\(600\) 7.49858 + 1.70303i 0.306128 + 0.0695259i
\(601\) −23.9333 + 7.77641i −0.976260 + 0.317206i −0.753341 0.657631i \(-0.771559\pi\)
−0.222920 + 0.974837i \(0.571559\pi\)
\(602\) 25.0943 13.4650i 1.02277 0.548791i
\(603\) 1.45596 + 9.19257i 0.0592913 + 0.374351i
\(604\) −13.5878 7.84491i −0.552879 0.319205i
\(605\) −5.04090 24.0747i −0.204942 0.978774i
\(606\) −5.80079 10.0473i −0.235641 0.408142i
\(607\) −31.6453 12.1475i −1.28444 0.493052i −0.382121 0.924112i \(-0.624806\pi\)
−0.902323 + 0.431061i \(0.858139\pi\)
\(608\) −0.919586 1.80479i −0.0372941 0.0731938i
\(609\) 3.99877 20.9959i 0.162038 0.850797i
\(610\) −8.02036 + 4.01668i −0.324735 + 0.162631i
\(611\) −3.23355 30.7652i −0.130815 1.24462i
\(612\) −0.438027 + 0.0229560i −0.0177062 + 0.000927942i
\(613\) 9.74674 + 6.32961i 0.393667 + 0.255650i 0.726260 0.687420i \(-0.241257\pi\)
−0.332593 + 0.943070i \(0.607924\pi\)
\(614\) 8.64151 3.84745i 0.348743 0.155270i
\(615\) 12.4454 + 2.05984i 0.501848 + 0.0830606i
\(616\) −2.46708 8.42102i −0.0994014 0.339292i
\(617\) −27.3925 + 27.3925i −1.10278 + 1.10278i −0.108707 + 0.994074i \(0.534671\pi\)
−0.994074 + 0.108707i \(0.965329\pi\)
\(618\) 5.79795 + 2.22563i 0.233228 + 0.0895278i
\(619\) −18.2648 + 3.88231i −0.734126 + 0.156043i −0.559780 0.828641i \(-0.689114\pi\)
−0.174346 + 0.984685i \(0.555781\pi\)
\(620\) 1.67733 14.9590i 0.0673633 0.600766i
\(621\) −11.0387 + 1.16022i −0.442968 + 0.0465579i
\(622\) −2.52706 0.400247i −0.101326 0.0160485i
\(623\) 5.25979 10.8886i 0.210729 0.436242i
\(624\) 3.79625 + 1.23348i 0.151972 + 0.0493786i
\(625\) −24.2999 5.87482i −0.971997 0.234993i
\(626\) −7.05851 + 4.07523i −0.282115 + 0.162879i
\(627\) −1.05988 + 10.2772i −0.0423275 + 0.410432i
\(628\) 2.22709 + 8.31161i 0.0888706 + 0.331669i
\(629\) 0.526669 + 0.382648i 0.0209997 + 0.0152572i
\(630\) 2.82670 + 2.47293i 0.112619 + 0.0985238i
\(631\) −10.7103 32.9631i −0.426372 1.31224i −0.901674 0.432416i \(-0.857661\pi\)
0.475302 0.879823i \(-0.342339\pi\)
\(632\) 0.326723 + 0.264575i 0.0129963 + 0.0105242i
\(633\) 16.0156 6.14780i 0.636562 0.244353i
\(634\) 5.33641 + 4.80493i 0.211936 + 0.190828i
\(635\) 26.6162 17.0232i 1.05623 0.675546i
\(636\) 11.3567 15.6311i 0.450322 0.619815i
\(637\) −17.3338 + 5.44331i −0.686790 + 0.215672i
\(638\) −16.5794 5.35119i −0.656386 0.211856i
\(639\) −1.16942 0.675164i −0.0462615 0.0267091i
\(640\) 0.593719 2.15581i 0.0234688 0.0852157i
\(641\) 12.7531 2.71075i 0.503716 0.107068i 0.0509565 0.998701i \(-0.483773\pi\)
0.452759 + 0.891633i \(0.350440\pi\)
\(642\) −7.26273 11.1836i −0.286637 0.441383i
\(643\) 0.959485 6.05795i 0.0378384 0.238902i −0.961519 0.274737i \(-0.911409\pi\)
0.999358 + 0.0358351i \(0.0114091\pi\)
\(644\) −4.84348 2.03433i −0.190860 0.0801640i
\(645\) −29.7945 21.9646i −1.17316 0.864856i
\(646\) 0.936463 + 1.04005i 0.0368446 + 0.0409201i
\(647\) −26.7777 + 21.6842i −1.05274 + 0.852492i −0.989359 0.145497i \(-0.953522\pi\)
−0.0633812 + 0.997989i \(0.520188\pi\)
\(648\) −1.73214 + 6.46443i −0.0680448 + 0.253947i
\(649\) −15.5281 23.8093i −0.609533 0.934596i
\(650\) −12.2854 4.18123i −0.481873 0.164001i
\(651\) −15.6258 + 22.4968i −0.612424 + 0.881718i
\(652\) 1.85399 + 3.63867i 0.0726080 + 0.142501i
\(653\) −15.3078 23.5720i −0.599042 0.922444i −0.999980 0.00633886i \(-0.997982\pi\)
0.400938 0.916105i \(-0.368684\pi\)
\(654\) 5.54330 + 2.46803i 0.216760 + 0.0965078i
\(655\) −0.908076 4.42294i −0.0354815 0.172819i
\(656\) 0.762679 3.58812i 0.0297776 0.140093i
\(657\) 5.39111 2.74691i 0.210327 0.107167i
\(658\) 29.6726 + 10.6729i 1.15676 + 0.416074i
\(659\) 3.28935i 0.128135i 0.997946 + 0.0640675i \(0.0204073\pi\)
−0.997946 + 0.0640675i \(0.979593\pi\)
\(660\) −8.51386 + 7.58934i −0.331402 + 0.295415i
\(661\) 13.2691 7.66090i 0.516107 0.297974i −0.219233 0.975672i \(-0.570356\pi\)
0.735340 + 0.677698i \(0.237022\pi\)
\(662\) −3.97264 4.90580i −0.154401 0.190670i
\(663\) −2.75415 0.144339i −0.106962 0.00560566i
\(664\) 2.29566 + 7.06532i 0.0890889 + 0.274187i
\(665\) 0.456026 11.9747i 0.0176839 0.464359i
\(666\) −0.483912 + 0.351582i −0.0187512 + 0.0136235i
\(667\) −8.74726 + 5.68054i −0.338695 + 0.219951i
\(668\) 8.15775 12.5618i 0.315633 0.486032i
\(669\) 40.3735 + 4.24343i 1.56093 + 0.164060i
\(670\) 32.6258 3.20025i 1.26044 0.123636i
\(671\) 2.05562 13.1448i 0.0793562 0.507450i
\(672\) −2.81541 + 2.93762i −0.108607 + 0.113321i
\(673\) 0.0367746 + 0.232186i 0.00141756 + 0.00895011i 0.988387 0.151958i \(-0.0485578\pi\)
−0.986969 + 0.160908i \(0.948558\pi\)
\(674\) 17.6862 15.9247i 0.681247 0.613397i
\(675\) 7.60823 26.8948i 0.292841 1.03518i
\(676\) 5.72196 + 2.54758i 0.220075 + 0.0979838i
\(677\) 18.7629 23.1702i 0.721116 0.890504i −0.276393 0.961045i \(-0.589139\pi\)
0.997509 + 0.0705408i \(0.0224725\pi\)
\(678\) 8.63908 + 4.40183i 0.331782 + 0.169051i
\(679\) −4.35211 18.5308i −0.167019 0.711145i
\(680\) −0.0107264 + 1.54493i −0.000411341 + 0.0592453i
\(681\) −20.0439 + 34.7170i −0.768083 + 1.33036i
\(682\) 16.6212 + 14.9071i 0.636458 + 0.570821i
\(683\) 12.2893 45.8642i 0.470237 1.75495i −0.168680 0.985671i \(-0.553951\pi\)
0.638917 0.769276i \(-0.279383\pi\)
\(684\) −1.17473 + 0.523023i −0.0449169 + 0.0199983i
\(685\) 40.3022 + 20.8887i 1.53987 + 0.798117i
\(686\) 2.68929 18.3240i 0.102678 0.699612i
\(687\) −0.875747 + 5.52925i −0.0334118 + 0.210954i
\(688\) −6.77393 + 8.36511i −0.258254 + 0.318917i
\(689\) −21.8188 + 24.2323i −0.831232 + 0.923176i
\(690\) 0.310008 + 6.82113i 0.0118018 + 0.259676i
\(691\) 2.75521 + 6.18831i 0.104813 + 0.235414i 0.958337 0.285639i \(-0.0922059\pi\)
−0.853524 + 0.521053i \(0.825539\pi\)
\(692\) −14.9753 14.9753i −0.569277 0.569277i
\(693\) −5.42061 + 1.28426i −0.205912 + 0.0487850i
\(694\) 33.8346i 1.28434i
\(695\) 14.0490 23.9481i 0.532910 0.908404i
\(696\) 1.67958 + 7.90182i 0.0636644 + 0.299518i
\(697\) 0.132647 + 2.53105i 0.00502436 + 0.0958704i
\(698\) 5.41717 + 4.38674i 0.205043 + 0.166041i
\(699\) −14.4949 + 10.5312i −0.548249 + 0.398326i
\(700\) 9.28511 9.42267i 0.350944 0.356143i
\(701\) 2.63482 8.10914i 0.0995158 0.306278i −0.888888 0.458124i \(-0.848522\pi\)
0.988404 + 0.151846i \(0.0485217\pi\)
\(702\) 5.19952 13.5452i 0.196243 0.511231i
\(703\) 1.84347 + 0.493956i 0.0695277 + 0.0186299i
\(704\) 2.09225 + 2.57342i 0.0788547 + 0.0969894i
\(705\) −4.00116 40.7908i −0.150692 1.53627i
\(706\) −17.8506 + 24.5692i −0.671815 + 0.924674i
\(707\) −19.9492 0.621043i −0.750267 0.0233567i
\(708\) −5.98395 + 11.7442i −0.224891 + 0.441373i
\(709\) 47.4839 4.99076i 1.78330 0.187432i 0.845350 0.534213i \(-0.179392\pi\)
0.937946 + 0.346781i \(0.112725\pi\)
\(710\) −2.61805 + 3.97082i −0.0982538 + 0.149022i
\(711\) 0.178587 0.198341i 0.00669754 0.00743837i
\(712\) −0.239202 + 4.56425i −0.00896448 + 0.171052i
\(713\) 13.2019 2.09098i 0.494417 0.0783079i
\(714\) 1.35365 2.46400i 0.0506590 0.0922128i
\(715\) 15.6287 11.2362i 0.584481 0.420211i
\(716\) 6.01280 10.4145i 0.224709 0.389207i
\(717\) 7.12120 5.76664i 0.265946 0.215359i
\(718\) 25.8748 + 16.8033i 0.965640 + 0.627094i
\(719\) −26.2224 5.57375i −0.977932 0.207866i −0.308896 0.951096i \(-0.599960\pi\)
−0.669036 + 0.743230i \(0.733293\pi\)
\(720\) −1.34698 0.448024i −0.0501991 0.0166969i
\(721\) 8.50837 6.46216i 0.316868 0.240663i
\(722\) −13.2734 6.76314i −0.493985 0.251698i
\(723\) 0.950786 18.1421i 0.0353601 0.674711i
\(724\) 1.17040 11.1356i 0.0434975 0.413851i
\(725\) −5.10336 25.7635i −0.189534 0.956832i
\(726\) −1.83404 16.8173i −0.0680675 0.624148i
\(727\) −16.8467 16.8467i −0.624810 0.624810i 0.321948 0.946758i \(-0.395663\pi\)
−0.946758 + 0.321948i \(0.895663\pi\)
\(728\) 5.24368 4.43391i 0.194344 0.164332i
\(729\) 28.5693 + 9.28274i 1.05812 + 0.343805i
\(730\) −8.53291 19.5290i −0.315817 0.722801i
\(731\) 3.02494 6.79412i 0.111881 0.251290i
\(732\) −5.75953 + 2.21088i −0.212878 + 0.0817163i
\(733\) −18.3840 + 11.9387i −0.679028 + 0.440966i −0.837529 0.546393i \(-0.816001\pi\)
0.158501 + 0.987359i \(0.449334\pi\)
\(734\) 10.7343 33.0368i 0.396210 1.21941i
\(735\) −23.0158 + 7.05245i −0.848951 + 0.260133i
\(736\) 1.98559 0.0731897
\(737\) −24.2297 + 42.1571i −0.892513 + 1.55288i
\(738\) −2.24941 0.602728i −0.0828019 0.0221867i
\(739\) 30.5977 + 3.21595i 1.12555 + 0.118301i 0.648960 0.760823i \(-0.275204\pi\)
0.476595 + 0.879123i \(0.341871\pi\)
\(740\) 1.13517 + 1.77487i 0.0417297 + 0.0652454i
\(741\) −7.68955 + 2.49849i −0.282483 + 0.0917841i
\(742\) −12.5682 30.7716i −0.461394 1.12966i
\(743\) −3.78982 0.600248i −0.139035 0.0220210i 0.0865291 0.996249i \(-0.472422\pi\)
−0.225564 + 0.974228i \(0.572422\pi\)
\(744\) 2.15248 10.1266i 0.0789137 0.371260i
\(745\) −26.6635 24.3453i −0.976876 0.891941i
\(746\) −1.24802 + 11.8741i −0.0456931 + 0.434741i
\(747\) 4.55545 1.22063i 0.166675 0.0446605i
\(748\) −1.85654 1.34332i −0.0678817 0.0491166i
\(749\) −22.9357 + 0.487198i −0.838052 + 0.0178018i
\(750\) −16.2386 5.65277i −0.592949 0.206410i
\(751\) −10.7064 11.8906i −0.390681 0.433895i 0.515433 0.856930i \(-0.327631\pi\)
−0.906113 + 0.423035i \(0.860965\pi\)
\(752\) −11.9023 + 0.623773i −0.434032 + 0.0227467i
\(753\) 4.45315 + 11.6008i 0.162282 + 0.422758i
\(754\) −1.42510 13.5589i −0.0518990 0.493786i
\(755\) 28.2393 + 20.8181i 1.02773 + 0.757649i
\(756\) 10.1275 + 10.7784i 0.368335 + 0.392006i
\(757\) −31.2067 + 4.94266i −1.13423 + 0.179644i −0.695191 0.718826i \(-0.744680\pi\)
−0.439036 + 0.898469i \(0.644680\pi\)
\(758\) −6.92073 + 1.85440i −0.251372 + 0.0673550i
\(759\) −8.50466 5.49939i −0.308700 0.199615i
\(760\) 1.59376 + 4.23963i 0.0578116 + 0.153787i
\(761\) 18.7634 + 42.1434i 0.680174 + 1.52770i 0.841187 + 0.540744i \(0.181857\pi\)
−0.161013 + 0.986952i \(0.551476\pi\)
\(762\) 19.3615 9.86516i 0.701392 0.357377i
\(763\) 8.63212 5.87010i 0.312504 0.212512i
\(764\) −11.1938 15.4069i −0.404976 0.557402i
\(765\) 0.979078 + 0.0581302i 0.0353986 + 0.00210170i
\(766\) 1.44144 + 1.29788i 0.0520813 + 0.0468942i
\(767\) 12.1154 18.6561i 0.437462 0.673632i
\(768\) 0.551137 1.43576i 0.0198874 0.0518086i
\(769\) 7.59178 0.273766 0.136883 0.990587i \(-0.456291\pi\)
0.136883 + 0.990587i \(0.456291\pi\)
\(770\) 3.38396 + 19.3274i 0.121950 + 0.696512i
\(771\) 0.611215 0.0220124
\(772\) −4.64356 + 12.0969i −0.167125 + 0.435377i
\(773\) 28.0461 43.1871i 1.00875 1.55333i 0.187897 0.982189i \(-0.439833\pi\)
0.820850 0.571144i \(-0.193500\pi\)
\(774\) 5.07814 + 4.57238i 0.182530 + 0.164351i
\(775\) −7.45455 + 32.8230i −0.267775 + 1.17904i
\(776\) 4.22884 + 5.82051i 0.151807 + 0.208944i
\(777\) −0.281905 3.82339i −0.0101133 0.137163i
\(778\) 7.67930 3.91280i 0.275316 0.140281i
\(779\) 3.02219 + 6.78794i 0.108281 + 0.243203i
\(780\) −8.12847 3.68686i −0.291046 0.132011i
\(781\) −2.54101 6.58110i −0.0909245 0.235490i
\(782\) −1.32515 + 0.355074i −0.0473874 + 0.0126974i
\(783\) 29.0020 4.59346i 1.03645 0.164157i
\(784\) 1.74483 + 6.77905i 0.0623152 + 0.242109i
\(785\) −2.87793 19.0245i −0.102718 0.679014i
\(786\) −0.324606 3.08842i −0.0115783 0.110160i
\(787\) 19.6853 + 51.2820i 0.701705 + 1.82801i 0.541041 + 0.840996i \(0.318030\pi\)
0.160664 + 0.987009i \(0.448636\pi\)
\(788\) −10.7621 + 0.564018i −0.383384 + 0.0200923i
\(789\) −23.4447 26.0380i −0.834655 0.926978i
\(790\) −0.660101 0.669332i −0.0234853 0.0238137i
\(791\) 14.2652 8.64508i 0.507213 0.307384i
\(792\) 1.70098 1.24092i 0.0604416 0.0440941i
\(793\) 10.0570 2.69476i 0.357133 0.0956936i
\(794\) −0.316493 + 3.01123i −0.0112319 + 0.106865i
\(795\) −29.1309 + 31.9049i −1.03317 + 1.13155i
\(796\) 3.54885 16.6960i 0.125786 0.591775i
\(797\) −17.0170 2.69522i −0.602772 0.0954697i −0.152413 0.988317i \(-0.548704\pi\)
−0.450360 + 0.892847i \(0.648704\pi\)
\(798\) 1.11614 8.16593i 0.0395110 0.289071i
\(799\) 7.83189 2.54474i 0.277072 0.0900263i
\(800\) −1.85648 + 4.64257i −0.0656366 + 0.164140i
\(801\) 2.88563 + 0.303292i 0.101959 + 0.0107163i
\(802\) −21.3495 5.72059i −0.753878 0.202001i
\(803\) 30.9325 + 6.51177i 1.09159 + 0.229795i
\(804\) 22.5468 0.795166
\(805\) 10.2560 + 5.72741i 0.361477 + 0.201865i
\(806\) −5.39921 + 16.6171i −0.190179 + 0.585311i
\(807\) 25.1782 16.3509i 0.886313 0.575578i
\(808\) 7.04269 2.70344i 0.247761 0.0951065i
\(809\) −1.67023 + 3.75140i −0.0587222 + 0.131892i −0.940523 0.339729i \(-0.889665\pi\)
0.881801 + 0.471622i \(0.156331\pi\)
\(810\) 5.45978 13.9333i 0.191837 0.489566i
\(811\) 2.44461 + 0.794301i 0.0858418 + 0.0278917i 0.351623 0.936142i \(-0.385630\pi\)
−0.265781 + 0.964033i \(0.585630\pi\)
\(812\) 13.0774 + 4.70380i 0.458927 + 0.165071i
\(813\) 18.6786 + 18.6786i 0.655088 + 0.655088i
\(814\) −3.12098 0.157449i −0.109390 0.00551860i
\(815\) −3.21320 8.54759i −0.112554 0.299409i
\(816\) −0.111071 + 1.05677i −0.00388825 + 0.0369942i
\(817\) 1.14108 21.7730i 0.0399212 0.761742i
\(818\) −28.6076 14.5763i −1.00024 0.509648i
\(819\) −2.63673 3.47164i −0.0921348 0.121309i
\(820\) −2.58882 + 7.78328i −0.0904055 + 0.271804i
\(821\) −0.907969 0.192995i −0.0316884 0.00673557i 0.192040 0.981387i \(-0.438490\pi\)
−0.223729 + 0.974651i \(0.571823\pi\)
\(822\) 26.1839 + 17.0040i 0.913269 + 0.593084i
\(823\) −8.32271 + 6.73960i −0.290111 + 0.234928i −0.763317 0.646025i \(-0.776430\pi\)
0.473205 + 0.880952i \(0.343097\pi\)
\(824\) −2.01912 + 3.49722i −0.0703394 + 0.121831i
\(825\) 20.8100 14.7432i 0.724512 0.513293i
\(826\) 11.7523 + 19.3925i 0.408915 + 0.674750i
\(827\) 24.5006 3.88051i 0.851969 0.134939i 0.284848 0.958573i \(-0.408057\pi\)
0.567122 + 0.823634i \(0.308057\pi\)
\(828\) 0.0659707 1.25880i 0.00229264 0.0437462i
\(829\) −16.8035 + 18.6622i −0.583610 + 0.648164i −0.960561 0.278069i \(-0.910306\pi\)
0.376951 + 0.926233i \(0.376972\pi\)
\(830\) −3.34084 16.2721i −0.115962 0.564814i
\(831\) 38.8458 4.08285i 1.34754 0.141633i
\(832\) −1.17833 + 2.31259i −0.0408511 + 0.0801747i
\(833\) −2.37674 4.21223i −0.0823493 0.145945i
\(834\) 11.2243 15.4489i 0.388666 0.534953i
\(835\) −21.2577 + 25.8815i −0.735652 + 0.895667i
\(836\) −6.49250 1.72607i −0.224548 0.0596974i
\(837\) −36.3487 9.73960i −1.25639 0.336650i
\(838\) −6.94385 + 18.0893i −0.239871 + 0.624886i
\(839\) 11.3757 35.0107i 0.392732 1.20870i −0.537982 0.842956i \(-0.680813\pi\)
0.930714 0.365748i \(-0.119187\pi\)
\(840\) 6.98820 5.82630i 0.241116 0.201026i
\(841\) −1.13906 + 0.827576i −0.0392779 + 0.0285371i
\(842\) 26.1304 + 21.1600i 0.900514 + 0.729222i
\(843\) 0.254496 + 4.85608i 0.00876532 + 0.167252i
\(844\) 2.31920 + 10.9110i 0.0798303 + 0.375572i
\(845\) −12.0802 7.08681i −0.415573 0.243794i
\(846\) 7.56639i 0.260138i
\(847\) −26.2552 12.5564i −0.902140 0.431444i
\(848\) 8.88357 + 8.88357i 0.305063 + 0.305063i
\(849\) 0.931077 + 2.09123i 0.0319545 + 0.0717709i
\(850\) 0.408781 3.43038i 0.0140211 0.117661i
\(851\) −1.25183 + 1.39030i −0.0429122 + 0.0476589i
\(852\) −2.05863 + 2.54220i −0.0705276 + 0.0870944i
\(853\) 4.07890 25.7531i 0.139659 0.881771i −0.813997 0.580870i \(-0.802713\pi\)
0.953655 0.300901i \(-0.0972875\pi\)
\(854\) −1.98568 + 10.4260i −0.0679484 + 0.356769i
\(855\) 2.74074 0.869529i 0.0937312 0.0297372i
\(856\) 7.92120 3.52675i 0.270741 0.120542i
\(857\) −4.06957 + 15.1878i −0.139014 + 0.518807i 0.860935 + 0.508715i \(0.169879\pi\)
−0.999949 + 0.0100922i \(0.996788\pi\)
\(858\) 11.4521 6.64174i 0.390968 0.226745i
\(859\) 16.7177 28.9559i 0.570401 0.987964i −0.426123 0.904665i \(-0.640121\pi\)
0.996525 0.0832989i \(-0.0265456\pi\)
\(860\) 17.1370 16.9006i 0.584365 0.576307i
\(861\) 10.8775 10.2207i 0.370706 0.348321i
\(862\) −20.4995 10.4450i −0.698216 0.355759i
\(863\) 6.02335 7.43821i 0.205037 0.253200i −0.664246 0.747514i \(-0.731247\pi\)
0.869283 + 0.494314i \(0.164581\pi\)
\(864\) −5.10676 2.27368i −0.173736 0.0773521i
\(865\) 29.5460 + 37.0087i 1.00459 + 1.25833i
\(866\) 14.9204 13.4344i 0.507017 0.456521i
\(867\) 3.97504 + 25.0974i 0.135000 + 0.852353i
\(868\) −12.8586 12.3237i −0.436450 0.418293i
\(869\) 1.37676 0.220815i 0.0467033 0.00749065i
\(870\) −1.76340 17.9775i −0.0597849 0.609493i
\(871\) −37.8432 3.97748i −1.28227 0.134772i
\(872\) −2.14890 + 3.30902i −0.0727709 + 0.112057i
\(873\) 3.83051 2.48756i 0.129643 0.0841912i
\(874\) −3.25381 + 2.36403i −0.110062 + 0.0799645i
\(875\) −22.9807 + 18.6250i −0.776888 + 0.629639i
\(876\) −4.52948 13.9403i −0.153037 0.470999i
\(877\) −29.9813 1.57126i −1.01240 0.0530575i −0.461085 0.887356i \(-0.652540\pi\)
−0.551313 + 0.834298i \(0.685873\pi\)
\(878\) −12.3307 15.2271i −0.416141 0.513891i
\(879\) 17.6236 10.1750i 0.594431 0.343195i
\(880\) −4.00807 6.23982i −0.135112 0.210344i
\(881\) 41.0286i 1.38229i 0.722717 + 0.691144i \(0.242893\pi\)
−0.722717 + 0.691144i \(0.757107\pi\)
\(882\) 4.35567 0.880929i 0.146663 0.0296624i
\(883\) −52.0283 + 26.5097i −1.75089 + 0.892123i −0.790968 + 0.611857i \(0.790423\pi\)
−0.959922 + 0.280266i \(0.909577\pi\)
\(884\) 0.372848 1.75411i 0.0125402 0.0589971i
\(885\) 16.2234 24.6062i 0.545345 0.827128i
\(886\) 9.90778 + 4.41123i 0.332858 + 0.148198i
\(887\) −29.5850 45.5570i −0.993368 1.52965i −0.840790 0.541362i \(-0.817909\pi\)
−0.152579 0.988291i \(-0.548758\pi\)
\(888\) 0.657845 + 1.29109i 0.0220758 + 0.0433263i
\(889\) 3.11716 37.2530i 0.104546 1.24942i
\(890\) 1.66880 10.0828i 0.0559383 0.337976i
\(891\) 12.1254 + 18.5918i 0.406216 + 0.622850i
\(892\) −6.83200 + 25.4974i −0.228752 + 0.853715i
\(893\) 18.7618 15.1930i 0.627840 0.508415i
\(894\) −16.6163 18.4543i −0.555732 0.617203i
\(895\) −15.9562 + 21.6442i −0.533358 + 0.723487i
\(896\) −1.60024 2.10695i −0.0534603 0.0703882i
\(897\) 1.23985 7.82812i 0.0413975 0.261373i
\(898\) 6.96079 + 10.7187i 0.232285 + 0.357687i
\(899\) −34.5880 + 7.35191i −1.15358 + 0.245200i
\(900\) 2.88156 + 1.33120i 0.0960519 + 0.0443732i
\(901\) −7.51739 4.34017i −0.250441 0.144592i
\(902\) −7.17040 9.82876i −0.238748 0.327262i
\(903\) −42.0548 + 12.2315i −1.39950 + 0.407039i
\(904\) −3.70574 + 5.10051i −0.123251 + 0.169641i
\(905\) −5.37541 + 24.4532i −0.178685 + 0.812853i
\(906\) 17.9317 + 16.1458i 0.595741 + 0.536408i
\(907\) −33.4236 + 12.8301i −1.10981 + 0.426017i −0.843098 0.537760i \(-0.819271\pi\)
−0.266713 + 0.963776i \(0.585938\pi\)
\(908\) −20.2574 16.4041i −0.672266 0.544390i
\(909\) −1.47990 4.55465i −0.0490851 0.151068i
\(910\) −12.7570 + 8.54622i −0.422890 + 0.283304i
\(911\) −3.74580 2.72149i −0.124104 0.0901668i 0.524002 0.851717i \(-0.324439\pi\)
−0.648106 + 0.761550i \(0.724439\pi\)
\(912\) 0.806255 + 3.00898i 0.0266978 + 0.0996374i
\(913\) 22.5283 + 9.97755i 0.745578 + 0.330209i
\(914\) 20.1411 11.6285i 0.666208 0.384635i
\(915\) 13.3494 3.47780i 0.441317 0.114972i
\(916\) −3.46196 1.12486i −0.114386 0.0371664i
\(917\) −4.81060 2.32378i −0.158860 0.0767381i
\(918\) 3.81478 + 0.604202i 0.125906 + 0.0199416i
\(919\) −45.6972 + 4.80297i −1.50741 + 0.158435i −0.821902 0.569628i \(-0.807087\pi\)
−0.685509 + 0.728064i \(0.740420\pi\)
\(920\) −4.41225 0.494742i −0.145468 0.0163112i
\(921\) −14.2297 + 3.02461i −0.468883 + 0.0996642i
\(922\) 19.1698 + 7.35861i 0.631325 + 0.242343i
\(923\) 3.90373 3.90373i 0.128493 0.128493i
\(924\) 1.01862 + 13.4566i 0.0335101 + 0.442690i
\(925\) −2.08027 4.22685i −0.0683990 0.138978i
\(926\) 6.74297 3.00216i 0.221588 0.0986572i
\(927\) 2.15004 + 1.39625i 0.0706165 + 0.0458589i
\(928\) −5.24561 + 0.274911i −0.172196 + 0.00902440i
\(929\) 4.52108 + 43.0152i 0.148332 + 1.41128i 0.774983 + 0.631982i \(0.217758\pi\)
−0.626651 + 0.779300i \(0.715575\pi\)
\(930\) −7.30633 + 21.9665i −0.239584 + 0.720308i
\(931\) −10.9304 9.03155i −0.358229 0.295997i
\(932\) −5.28902 10.3803i −0.173248 0.340017i
\(933\) 3.67349 + 1.41012i 0.120265 + 0.0461652i
\(934\) 15.7792 + 27.3304i 0.516311 + 0.894277i
\(935\) 3.79078 + 3.44763i 0.123972 + 0.112750i
\(936\) 1.42696 + 0.823855i 0.0466416 + 0.0269285i
\(937\) −1.67005 10.5443i −0.0545580 0.344466i −0.999834 0.0181953i \(-0.994208\pi\)
0.945276 0.326271i \(-0.105792\pi\)
\(938\) 20.4302 32.9722i 0.667068 1.07658i
\(939\) 11.9212 3.87342i 0.389033 0.126404i
\(940\) 26.6040 + 1.57954i 0.867728 + 0.0515191i
\(941\) 0.226136 0.507910i 0.00737182 0.0165574i −0.909822 0.414999i \(-0.863782\pi\)
0.917194 + 0.398441i \(0.130449\pi\)
\(942\) −0.692584 13.2153i −0.0225656 0.430577i
\(943\) −7.27371 0.381199i −0.236864 0.0124135i
\(944\) −6.93375 5.03766i −0.225674 0.163962i
\(945\) −19.8192 26.4745i −0.644720 0.861216i
\(946\) 5.65356 + 35.2493i 0.183813 + 1.14605i
\(947\) −9.14862 34.1431i −0.297290 1.10950i −0.939382 0.342874i \(-0.888600\pi\)
0.642091 0.766628i \(-0.278067\pi\)
\(948\) −0.406892 0.502470i −0.0132152 0.0163195i
\(949\) 5.14319 + 24.1968i 0.166955 + 0.785461i
\(950\) −2.48518 9.81817i −0.0806299 0.318543i
\(951\) −6.49120 8.93437i −0.210492 0.289717i
\(952\) 1.44476 + 1.11999i 0.0468248 + 0.0362990i
\(953\) 3.82271 7.50249i 0.123830 0.243030i −0.820767 0.571263i \(-0.806453\pi\)
0.944596 + 0.328234i \(0.106453\pi\)
\(954\) 5.92704 5.33673i 0.191895 0.172783i
\(955\) 21.0353 + 37.0254i 0.680685 + 1.19811i
\(956\) 2.97914 + 5.16001i 0.0963521 + 0.166887i
\(957\) 23.2294 + 13.3511i 0.750900 + 0.431579i
\(958\) −12.6955 + 12.6955i −0.410173 + 0.410173i
\(959\) 48.5923 22.8833i 1.56913 0.738940i
\(960\) −1.58245 + 3.05314i −0.0510733 + 0.0985397i
\(961\) 14.0039 + 2.97662i 0.451739 + 0.0960200i
\(962\) −0.876383 2.28305i −0.0282557 0.0736086i
\(963\) −1.97266 5.13896i −0.0635681 0.165601i
\(964\) 11.5546 + 2.45602i 0.372150 + 0.0791029i
\(965\) 13.3328 25.7240i 0.429198 0.828084i
\(966\) 6.63559 + 4.60895i 0.213496 + 0.148291i
\(967\) −7.10398 + 7.10398i −0.228448 + 0.228448i −0.812044 0.583596i \(-0.801645\pi\)
0.583596 + 0.812044i \(0.301645\pi\)
\(968\) 10.9871 + 0.532766i 0.353138 + 0.0171237i
\(969\) −1.07617 1.86398i −0.0345715 0.0598796i
\(970\) −7.94682 13.9877i −0.255157 0.449117i
\(971\) −12.5210 + 11.2740i −0.401819 + 0.361799i −0.845123 0.534572i \(-0.820473\pi\)
0.443304 + 0.896371i \(0.353806\pi\)
\(972\) −2.94083 + 5.77170i −0.0943271 + 0.185127i
\(973\) −12.4217 30.4129i −0.398222 0.974992i
\(974\) −5.04134 6.93881i −0.161535 0.222334i
\(975\) 17.1440 + 10.2181i 0.549047 + 0.327240i
\(976\) −0.834034 3.92382i −0.0266968 0.125598i
\(977\) −28.7757 35.5351i −0.920617 1.13687i −0.990251 0.139295i \(-0.955516\pi\)
0.0696334 0.997573i \(-0.477817\pi\)
\(978\) −1.62551 6.06647i −0.0519779 0.193984i
\(979\) 10.7397 + 10.6978i 0.343243 + 0.341904i
\(980\) −2.18814 15.4988i −0.0698975 0.495090i
\(981\) 2.02641 + 1.47227i 0.0646983 + 0.0470061i
\(982\) 18.8288 + 0.986778i 0.600852 + 0.0314893i
\(983\) 1.90927 + 36.4311i 0.0608963 + 1.16197i 0.842678 + 0.538418i \(0.180978\pi\)
−0.781782 + 0.623552i \(0.785689\pi\)
\(984\) −2.29460 + 5.15375i −0.0731491 + 0.164296i
\(985\) 24.0555 + 1.42823i 0.766471 + 0.0455072i
\(986\) 3.45169 1.12152i 0.109924 0.0357166i
\(987\) −41.2239 25.5431i −1.31217 0.813046i
\(988\) −0.822425 5.19259i −0.0261648 0.165198i
\(989\) 18.5092 + 10.6863i 0.588560 + 0.339805i
\(990\) −4.08901 + 2.33367i −0.129957 + 0.0741688i
\(991\) 23.0873 + 39.9883i 0.733392 + 1.27027i 0.955425 + 0.295233i \(0.0953972\pi\)
−0.222034 + 0.975039i \(0.571269\pi\)
\(992\) 6.28465 + 2.41245i 0.199538 + 0.0765954i
\(993\) 4.40743 + 8.65006i 0.139865 + 0.274501i
\(994\) 1.85231 + 5.31406i 0.0587516 + 0.168552i
\(995\) −12.0461 + 36.2167i −0.381888 + 1.14815i
\(996\) −1.19424 11.3624i −0.0378408 0.360031i
\(997\) 16.3908 0.859003i 0.519101 0.0272049i 0.209013 0.977913i \(-0.432975\pi\)
0.310088 + 0.950708i \(0.399642\pi\)
\(998\) −20.6307 13.3977i −0.653052 0.424097i
\(999\) 4.81163 2.14227i 0.152233 0.0677785i
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 770.2.bv.a.103.33 yes 768
5.2 odd 4 inner 770.2.bv.a.257.40 yes 768
7.3 odd 6 inner 770.2.bv.a.213.33 yes 768
11.3 even 5 inner 770.2.bv.a.663.9 yes 768
35.17 even 12 inner 770.2.bv.a.367.9 yes 768
55.47 odd 20 inner 770.2.bv.a.47.33 yes 768
77.3 odd 30 inner 770.2.bv.a.3.40 768
385.157 even 60 inner 770.2.bv.a.157.33 yes 768
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.bv.a.3.40 768 77.3 odd 30 inner
770.2.bv.a.47.33 yes 768 55.47 odd 20 inner
770.2.bv.a.103.33 yes 768 1.1 even 1 trivial
770.2.bv.a.157.33 yes 768 385.157 even 60 inner
770.2.bv.a.213.33 yes 768 7.3 odd 6 inner
770.2.bv.a.257.40 yes 768 5.2 odd 4 inner
770.2.bv.a.367.9 yes 768 35.17 even 12 inner
770.2.bv.a.663.9 yes 768 11.3 even 5 inner