Properties

Label 349.2.i.a.9.2
Level $349$
Weight $2$
Character 349.9
Analytic conductor $2.787$
Analytic rank $0$
Dimension $1568$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [349,2,Mod(9,349)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(349, base_ring=CyclotomicField(174))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("349.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 349.i (of order \(87\), degree \(56\), 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: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(1568\)
Relative dimension: \(28\) over \(\Q(\zeta_{87})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{87}]$

Embedding invariants

Embedding label 9.2
Character \(\chi\) \(=\) 349.9
Dual form 349.2.i.a.194.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.17302 - 1.10227i) q^{2} +(1.67917 - 0.634157i) q^{3} +(2.32562 + 3.17675i) q^{4} +(-1.08355 + 0.279878i) q^{5} +(-4.34788 - 0.472861i) q^{6} +(-4.21470 - 0.152260i) q^{7} +(-0.763578 - 4.65762i) q^{8} +(0.166393 - 0.146588i) q^{9} +O(q^{10})\) \(q+(-2.17302 - 1.10227i) q^{2} +(1.67917 - 0.634157i) q^{3} +(2.32562 + 3.17675i) q^{4} +(-1.08355 + 0.279878i) q^{5} +(-4.34788 - 0.472861i) q^{6} +(-4.21470 - 0.152260i) q^{7} +(-0.763578 - 4.65762i) q^{8} +(0.166393 - 0.146588i) q^{9} +(2.66309 + 0.586190i) q^{10} +(2.58124 + 1.19421i) q^{11} +(5.91966 + 3.85949i) q^{12} +(0.103510 + 5.73240i) q^{13} +(8.99082 + 4.97662i) q^{14} +(-1.64198 + 1.15710i) q^{15} +(-1.09562 + 3.45672i) q^{16} +(0.222692 - 1.35836i) q^{17} +(-0.523156 + 0.135129i) q^{18} +(-7.64337 - 2.27158i) q^{19} +(-3.40904 - 2.79129i) q^{20} +(-7.17374 + 2.41711i) q^{21} +(-4.29275 - 5.44027i) q^{22} +(0.139154 + 7.70636i) q^{23} +(-4.23584 - 7.33669i) q^{24} +(-3.27880 + 1.81489i) q^{25} +(6.09374 - 12.5707i) q^{26} +(-2.33583 + 4.40585i) q^{27} +(-9.31810 - 13.7432i) q^{28} +(7.63139 - 4.97550i) q^{29} +(4.84350 - 0.704507i) q^{30} +(4.11030 + 6.06223i) q^{31} +(-0.423214 + 0.430925i) q^{32} +(5.09164 + 0.368362i) q^{33} +(-1.98120 + 2.70628i) q^{34} +(4.60947 - 1.01462i) q^{35} +(0.852641 + 0.187681i) q^{36} +(-4.72885 + 2.84526i) q^{37} +(14.1053 + 13.3613i) q^{38} +(3.80905 + 9.56000i) q^{39} +(2.13094 + 4.83307i) q^{40} +(-0.908287 - 5.54031i) q^{41} +(18.2530 + 2.65498i) q^{42} +(-0.148415 - 1.63955i) q^{43} +(2.20927 + 10.9772i) q^{44} +(-0.139269 + 0.205406i) q^{45} +(8.19213 - 16.8995i) q^{46} +(-3.12232 - 2.37353i) q^{47} +(0.352376 + 6.49920i) q^{48} +(10.7588 + 0.778358i) q^{49} +(9.12542 - 0.329665i) q^{50} +(-0.487478 - 2.42213i) q^{51} +(-17.9697 + 13.6602i) q^{52} +(2.08396 + 2.45343i) q^{53} +(9.93227 - 6.99928i) q^{54} +(-3.13114 - 0.571556i) q^{55} +(2.50908 + 19.7467i) q^{56} +(-14.2750 + 1.03275i) q^{57} +(-22.0676 + 2.39999i) q^{58} +(-4.24373 + 1.60270i) q^{59} +(-7.49445 - 2.52518i) q^{60} +(-0.00432768 + 0.0798194i) q^{61} +(-2.24953 - 17.7040i) q^{62} +(-0.723616 + 0.592491i) q^{63} +(8.26740 - 2.78561i) q^{64} +(-1.71653 - 6.18238i) q^{65} +(-10.6582 - 6.41284i) q^{66} +(5.10630 + 4.83695i) q^{67} +(4.83307 - 2.45159i) q^{68} +(5.12071 + 12.8520i) q^{69} +(-11.1349 - 2.87610i) q^{70} +(-6.87952 - 2.59813i) q^{71} +(-0.809806 - 0.663063i) q^{72} +(0.769063 - 1.22747i) q^{73} +(13.4122 - 0.970320i) q^{74} +(-4.35472 + 5.12678i) q^{75} +(-10.5593 - 29.5639i) q^{76} +(-10.6973 - 5.42625i) q^{77} +(2.26057 - 24.9727i) q^{78} +(-1.48531 + 1.74864i) q^{79} +(0.219703 - 4.05218i) q^{80} +(-1.21210 + 9.53939i) q^{81} +(-4.13320 + 13.0404i) q^{82} +(2.98385 + 3.03821i) q^{83} +(-24.3620 - 17.1679i) q^{84} +(0.138877 + 1.53418i) q^{85} +(-1.48473 + 3.72638i) q^{86} +(9.65913 - 13.1942i) q^{87} +(3.59119 - 12.9343i) q^{88} +(9.50453 - 12.0452i) q^{89} +(0.529047 - 0.292840i) q^{90} +(0.436550 - 24.1761i) q^{91} +(-24.1576 + 18.3641i) q^{92} +(10.7463 + 7.57292i) q^{93} +(4.16860 + 8.59939i) q^{94} +(8.91776 + 0.322163i) q^{95} +(-0.437372 + 0.991980i) q^{96} +(-10.9500 - 2.82835i) q^{97} +(-22.5211 - 13.5505i) q^{98} +(0.604557 - 0.179672i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9} - 56 q^{10} - 56 q^{11} - 69 q^{12} - 56 q^{13} - 60 q^{14} - 67 q^{15} - 24 q^{16} - 58 q^{17} + 40 q^{18} - 169 q^{19} - 72 q^{20} + 46 q^{21} - 51 q^{22} - 47 q^{23} + q^{24} - 52 q^{25} + 11 q^{26} - 28 q^{27} - 6 q^{28} - 66 q^{29} - 37 q^{30} - 10 q^{31} - 52 q^{32} - 70 q^{33} - 44 q^{34} - 42 q^{35} - 124 q^{36} - 159 q^{37} - 118 q^{38} - 32 q^{39} - 82 q^{40} - 403 q^{42} - 35 q^{43} + 78 q^{44} - 76 q^{45} - 63 q^{46} - 32 q^{47} + 22 q^{48} - 32 q^{49} + 308 q^{50} + 44 q^{51} + 255 q^{52} - 46 q^{53} - 51 q^{54} + 48 q^{55} - 39 q^{56} - 83 q^{57} - 46 q^{58} - 42 q^{59} - 742 q^{60} + 190 q^{61} - 31 q^{62} - 89 q^{63} + 149 q^{64} - 130 q^{65} + 385 q^{66} - 24 q^{67} - q^{68} + 48 q^{69} - 6 q^{70} - 48 q^{71} + 243 q^{72} - 81 q^{73} + 75 q^{74} - 32 q^{75} - 67 q^{76} - 48 q^{77} - 547 q^{78} - 106 q^{79} + 148 q^{80} + 418 q^{81} - 50 q^{82} - 304 q^{83} + 338 q^{84} + 90 q^{85} - 46 q^{86} + 102 q^{87} - 116 q^{88} + 340 q^{89} - 126 q^{90} - 112 q^{91} - 106 q^{92} - q^{93} - 91 q^{94} + 120 q^{95} - 914 q^{96} - 58 q^{97} + 316 q^{98} - 131 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{87}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.17302 1.10227i −1.53656 0.779425i −0.538557 0.842589i \(-0.681030\pi\)
−0.998003 + 0.0631644i \(0.979881\pi\)
\(3\) 1.67917 0.634157i 0.969467 0.366131i 0.182554 0.983196i \(-0.441563\pi\)
0.786912 + 0.617065i \(0.211678\pi\)
\(4\) 2.32562 + 3.17675i 1.16281 + 1.58838i
\(5\) −1.08355 + 0.279878i −0.484580 + 0.125165i −0.484421 0.874835i \(-0.660970\pi\)
−0.000158125 1.00000i \(0.500050\pi\)
\(6\) −4.34788 0.472861i −1.77502 0.193045i
\(7\) −4.21470 0.152260i −1.59301 0.0575489i −0.774700 0.632329i \(-0.782099\pi\)
−0.818308 + 0.574780i \(0.805088\pi\)
\(8\) −0.763578 4.65762i −0.269966 1.64672i
\(9\) 0.166393 0.146588i 0.0554643 0.0488628i
\(10\) 2.66309 + 0.586190i 0.842142 + 0.185370i
\(11\) 2.58124 + 1.19421i 0.778273 + 0.360067i 0.768471 0.639885i \(-0.221018\pi\)
0.00980179 + 0.999952i \(0.496880\pi\)
\(12\) 5.91966 + 3.85949i 1.70886 + 1.11414i
\(13\) 0.103510 + 5.73240i 0.0287086 + 1.58988i 0.620773 + 0.783990i \(0.286819\pi\)
−0.592065 + 0.805890i \(0.701687\pi\)
\(14\) 8.99082 + 4.97662i 2.40290 + 1.33006i
\(15\) −1.64198 + 1.15710i −0.423957 + 0.298763i
\(16\) −1.09562 + 3.45672i −0.273905 + 0.864179i
\(17\) 0.222692 1.35836i 0.0540107 0.329451i −0.945976 0.324238i \(-0.894892\pi\)
0.999986 0.00521324i \(-0.00165943\pi\)
\(18\) −0.523156 + 0.135129i −0.123309 + 0.0318503i
\(19\) −7.64337 2.27158i −1.75351 0.521135i −0.761596 0.648053i \(-0.775584\pi\)
−0.991913 + 0.126917i \(0.959492\pi\)
\(20\) −3.40904 2.79129i −0.762283 0.624152i
\(21\) −7.17374 + 2.41711i −1.56544 + 0.527458i
\(22\) −4.29275 5.44027i −0.915217 1.15987i
\(23\) 0.139154 + 7.70636i 0.0290157 + 1.60689i 0.609615 + 0.792697i \(0.291324\pi\)
−0.580600 + 0.814189i \(0.697182\pi\)
\(24\) −4.23584 7.33669i −0.864637 1.49759i
\(25\) −3.27880 + 1.81489i −0.655760 + 0.362978i
\(26\) 6.09374 12.5707i 1.19508 2.46532i
\(27\) −2.33583 + 4.40585i −0.449531 + 0.847906i
\(28\) −9.31810 13.7432i −1.76096 2.59722i
\(29\) 7.63139 4.97550i 1.41711 0.923927i 0.417229 0.908801i \(-0.363001\pi\)
0.999886 0.0151253i \(-0.00481473\pi\)
\(30\) 4.84350 0.704507i 0.884299 0.128625i
\(31\) 4.11030 + 6.06223i 0.738231 + 1.08881i 0.992568 + 0.121693i \(0.0388324\pi\)
−0.254337 + 0.967116i \(0.581857\pi\)
\(32\) −0.423214 + 0.430925i −0.0748144 + 0.0761776i
\(33\) 5.09164 + 0.368362i 0.886341 + 0.0641236i
\(34\) −1.98120 + 2.70628i −0.339773 + 0.464123i
\(35\) 4.60947 1.01462i 0.779142 0.171502i
\(36\) 0.852641 + 0.187681i 0.142107 + 0.0312801i
\(37\) −4.72885 + 2.84526i −0.777418 + 0.467757i −0.848162 0.529738i \(-0.822290\pi\)
0.0707434 + 0.997495i \(0.477463\pi\)
\(38\) 14.1053 + 13.3613i 2.28819 + 2.16748i
\(39\) 3.80905 + 9.56000i 0.609937 + 1.53083i
\(40\) 2.13094 + 4.83307i 0.336932 + 0.764175i
\(41\) −0.908287 5.54031i −0.141851 0.865250i −0.957865 0.287219i \(-0.907269\pi\)
0.816014 0.578032i \(-0.196179\pi\)
\(42\) 18.2530 + 2.65498i 2.81650 + 0.409672i
\(43\) −0.148415 1.63955i −0.0226331 0.250030i −0.999367 0.0355747i \(-0.988674\pi\)
0.976734 0.214455i \(-0.0687974\pi\)
\(44\) 2.20927 + 10.9772i 0.333061 + 1.65488i
\(45\) −0.139269 + 0.205406i −0.0207609 + 0.0306201i
\(46\) 8.19213 16.8995i 1.20786 2.49169i
\(47\) −3.12232 2.37353i −0.455438 0.346215i 0.352169 0.935936i \(-0.385444\pi\)
−0.807606 + 0.589722i \(0.799237\pi\)
\(48\) 0.352376 + 6.49920i 0.0508611 + 0.938078i
\(49\) 10.7588 + 0.778358i 1.53697 + 0.111194i
\(50\) 9.12542 0.329665i 1.29053 0.0466216i
\(51\) −0.487478 2.42213i −0.0682605 0.339167i
\(52\) −17.9697 + 13.6602i −2.49195 + 1.89433i
\(53\) 2.08396 + 2.45343i 0.286254 + 0.337005i 0.886429 0.462864i \(-0.153178\pi\)
−0.600175 + 0.799869i \(0.704902\pi\)
\(54\) 9.93227 6.99928i 1.35161 0.952482i
\(55\) −3.13114 0.571556i −0.422203 0.0770686i
\(56\) 2.50908 + 19.7467i 0.335290 + 2.63877i
\(57\) −14.2750 + 1.03275i −1.89077 + 0.136790i
\(58\) −22.0676 + 2.39999i −2.89761 + 0.315134i
\(59\) −4.24373 + 1.60270i −0.552486 + 0.208653i −0.613795 0.789466i \(-0.710358\pi\)
0.0613083 + 0.998119i \(0.480473\pi\)
\(60\) −7.49445 2.52518i −0.967530 0.325999i
\(61\) −0.00432768 + 0.0798194i −0.000554103 + 0.0102198i −0.998797 0.0490283i \(-0.984388\pi\)
0.998243 + 0.0592481i \(0.0188703\pi\)
\(62\) −2.24953 17.7040i −0.285691 2.24842i
\(63\) −0.723616 + 0.592491i −0.0911670 + 0.0746468i
\(64\) 8.26740 2.78561i 1.03342 0.348201i
\(65\) −1.71653 6.18238i −0.212909 0.766830i
\(66\) −10.6582 6.41284i −1.31194 0.789366i
\(67\) 5.10630 + 4.83695i 0.623834 + 0.590927i 0.932910 0.360110i \(-0.117261\pi\)
−0.309076 + 0.951037i \(0.600020\pi\)
\(68\) 4.83307 2.45159i 0.586096 0.297299i
\(69\) 5.12071 + 12.8520i 0.616461 + 1.54720i
\(70\) −11.1349 2.87610i −1.33087 0.343760i
\(71\) −6.87952 2.59813i −0.816449 0.308342i −0.0903306 0.995912i \(-0.528792\pi\)
−0.726118 + 0.687570i \(0.758677\pi\)
\(72\) −0.809806 0.663063i −0.0954366 0.0781427i
\(73\) 0.769063 1.22747i 0.0900121 0.143664i −0.799354 0.600861i \(-0.794825\pi\)
0.889366 + 0.457197i \(0.151146\pi\)
\(74\) 13.4122 0.970320i 1.55913 0.112797i
\(75\) −4.35472 + 5.12678i −0.502840 + 0.591989i
\(76\) −10.5593 29.5639i −1.21124 3.39121i
\(77\) −10.6973 5.42625i −1.21907 0.618379i
\(78\) 2.26057 24.9727i 0.255960 2.82760i
\(79\) −1.48531 + 1.74864i −0.167111 + 0.196738i −0.839343 0.543603i \(-0.817060\pi\)
0.672232 + 0.740341i \(0.265336\pi\)
\(80\) 0.219703 4.05218i 0.0245635 0.453047i
\(81\) −1.21210 + 9.53939i −0.134678 + 1.05993i
\(82\) −4.13320 + 13.0404i −0.456436 + 1.44007i
\(83\) 2.98385 + 3.03821i 0.327520 + 0.333487i 0.857463 0.514546i \(-0.172040\pi\)
−0.529943 + 0.848033i \(0.677787\pi\)
\(84\) −24.3620 17.1679i −2.65811 1.87317i
\(85\) 0.138877 + 1.53418i 0.0150633 + 0.166405i
\(86\) −1.48473 + 3.72638i −0.160102 + 0.401826i
\(87\) 9.65913 13.1942i 1.03557 1.41457i
\(88\) 3.59119 12.9343i 0.382822 1.37880i
\(89\) 9.50453 12.0452i 1.00748 1.27679i 0.0468658 0.998901i \(-0.485077\pi\)
0.960612 0.277893i \(-0.0896360\pi\)
\(90\) 0.529047 0.292840i 0.0557665 0.0308680i
\(91\) 0.436550 24.1761i 0.0457629 2.53434i
\(92\) −24.1576 + 18.3641i −2.51860 + 1.91459i
\(93\) 10.7463 + 7.57292i 1.11434 + 0.785275i
\(94\) 4.16860 + 8.59939i 0.429959 + 0.886959i
\(95\) 8.91776 + 0.322163i 0.914943 + 0.0330532i
\(96\) −0.437372 + 0.991980i −0.0446391 + 0.101243i
\(97\) −10.9500 2.82835i −1.11181 0.287176i −0.351143 0.936322i \(-0.614207\pi\)
−0.760664 + 0.649146i \(0.775126\pi\)
\(98\) −22.5211 13.5505i −2.27498 1.36881i
\(99\) 0.604557 0.179672i 0.0607602 0.0180577i
\(100\) −13.3907 6.19520i −1.33907 0.619520i
\(101\) −10.5882 + 10.0297i −1.05356 + 0.997989i −1.00000 0.000575230i \(-0.999817\pi\)
−0.0535645 + 0.998564i \(0.517058\pi\)
\(102\) −1.61055 + 5.80069i −0.159469 + 0.574354i
\(103\) −0.0117788 0.217247i −0.00116060 0.0214060i 0.997896 0.0648388i \(-0.0206533\pi\)
−0.999056 + 0.0434328i \(0.986171\pi\)
\(104\) 26.6203 4.85924i 2.61033 0.476488i
\(105\) 7.09663 4.62684i 0.692560 0.451534i
\(106\) −1.82415 7.62846i −0.177177 0.740942i
\(107\) 0.880702 + 3.68303i 0.0851406 + 0.356052i 0.998718 0.0506121i \(-0.0161172\pi\)
−0.913578 + 0.406664i \(0.866692\pi\)
\(108\) −19.4285 + 2.82596i −1.86951 + 0.271928i
\(109\) −1.96532 6.20066i −0.188244 0.593915i −0.999951 0.00985158i \(-0.996864\pi\)
0.811708 0.584064i \(-0.198538\pi\)
\(110\) 6.17403 + 4.69338i 0.588671 + 0.447496i
\(111\) −6.13618 + 7.77649i −0.582421 + 0.738112i
\(112\) 5.14403 14.4022i 0.486065 1.36088i
\(113\) −11.2426 7.32994i −1.05762 0.689543i −0.105235 0.994447i \(-0.533559\pi\)
−0.952383 + 0.304904i \(0.901375\pi\)
\(114\) 32.1583 + 13.4908i 3.01190 + 1.26353i
\(115\) −2.30762 8.31130i −0.215187 0.775033i
\(116\) 33.5537 + 12.6719i 3.11538 + 1.17656i
\(117\) 0.857525 + 0.938656i 0.0792782 + 0.0867788i
\(118\) 10.9883 + 1.19505i 1.01156 + 0.110014i
\(119\) −1.14540 + 5.69118i −0.104999 + 0.521709i
\(120\) 6.64313 + 6.76417i 0.606432 + 0.617481i
\(121\) −1.88459 2.21871i −0.171326 0.201701i
\(122\) 0.0973869 0.168679i 0.00881700 0.0152715i
\(123\) −5.03859 8.72709i −0.454314 0.786896i
\(124\) −9.69924 + 27.1558i −0.871017 + 2.43867i
\(125\) 7.10717 6.73227i 0.635685 0.602152i
\(126\) 2.22552 0.489874i 0.198265 0.0436415i
\(127\) −11.9468 + 5.52717i −1.06010 + 0.490457i −0.870890 0.491479i \(-0.836457\pi\)
−0.189215 + 0.981936i \(0.560594\pi\)
\(128\) −19.8404 2.88586i −1.75366 0.255076i
\(129\) −1.28895 2.65896i −0.113486 0.234109i
\(130\) −3.08462 + 15.3266i −0.270539 + 1.34423i
\(131\) 1.43113 8.72953i 0.125039 0.762703i −0.847644 0.530565i \(-0.821980\pi\)
0.972683 0.232138i \(-0.0745719\pi\)
\(132\) 10.6710 + 17.0316i 0.928794 + 1.48241i
\(133\) 31.8687 + 10.7378i 2.76336 + 0.931085i
\(134\) −5.76448 16.1393i −0.497975 1.39423i
\(135\) 1.29790 5.42772i 0.111705 0.467143i
\(136\) −6.49677 −0.557093
\(137\) −2.12230 + 8.87530i −0.181320 + 0.758268i 0.804979 + 0.593303i \(0.202176\pi\)
−0.986299 + 0.164965i \(0.947249\pi\)
\(138\) 3.03901 33.5721i 0.258697 2.85785i
\(139\) −1.52119 + 0.165439i −0.129025 + 0.0140323i −0.172404 0.985026i \(-0.555153\pi\)
0.0433785 + 0.999059i \(0.486188\pi\)
\(140\) 13.9431 + 12.2835i 1.17840 + 1.03815i
\(141\) −6.74809 2.00550i −0.568292 0.168894i
\(142\) 12.0855 + 13.2289i 1.01419 + 1.11015i
\(143\) −6.57849 + 14.9203i −0.550121 + 1.24770i
\(144\) 0.324411 + 0.735778i 0.0270343 + 0.0613148i
\(145\) −6.87649 + 7.52708i −0.571061 + 0.625090i
\(146\) −3.02420 + 1.81960i −0.250284 + 0.150591i
\(147\) 18.5594 5.51577i 1.53075 0.454933i
\(148\) −20.0362 8.40541i −1.64696 0.690921i
\(149\) 9.01318 + 11.4226i 0.738388 + 0.935772i 0.999564 0.0295191i \(-0.00939757\pi\)
−0.261176 + 0.965291i \(0.584110\pi\)
\(150\) 15.1140 6.34051i 1.23406 0.517701i
\(151\) 5.84375 + 1.06671i 0.475557 + 0.0868078i 0.412026 0.911172i \(-0.364821\pi\)
0.0635312 + 0.997980i \(0.479764\pi\)
\(152\) −4.74383 + 37.3344i −0.384775 + 3.02822i
\(153\) −0.162065 0.258665i −0.0131022 0.0209119i
\(154\) 17.2643 + 23.5827i 1.39120 + 1.90035i
\(155\) −6.15041 5.41837i −0.494013 0.435214i
\(156\) −21.5114 + 34.3333i −1.72229 + 2.74887i
\(157\) 17.1804 14.0672i 1.37114 1.12268i 0.391897 0.920009i \(-0.371819\pi\)
0.979247 0.202672i \(-0.0649626\pi\)
\(158\) 5.15510 2.16263i 0.410118 0.172049i
\(159\) 5.05518 + 2.79816i 0.400902 + 0.221908i
\(160\) 0.337969 0.585379i 0.0267188 0.0462783i
\(161\) 0.586877 32.5012i 0.0462524 2.56145i
\(162\) 13.1489 19.3932i 1.03308 1.52368i
\(163\) 5.41694 + 10.2174i 0.424288 + 0.800292i 0.999847 0.0174682i \(-0.00556060\pi\)
−0.575560 + 0.817760i \(0.695216\pi\)
\(164\) 15.4879 15.7700i 1.20940 1.23143i
\(165\) −5.62016 + 1.02590i −0.437529 + 0.0798662i
\(166\) −3.13503 9.89113i −0.243325 0.767700i
\(167\) −1.56048 + 2.94337i −0.120753 + 0.227765i −0.936518 0.350619i \(-0.885971\pi\)
0.815765 + 0.578383i \(0.196316\pi\)
\(168\) 16.7357 + 31.5669i 1.29119 + 2.43544i
\(169\) −19.8581 + 0.717394i −1.52755 + 0.0551841i
\(170\) 1.38931 3.48689i 0.106555 0.267433i
\(171\) −1.60479 + 0.742454i −0.122721 + 0.0567769i
\(172\) 4.86330 4.28445i 0.370823 0.326687i
\(173\) 14.5336 15.9086i 1.10497 1.20951i 0.128987 0.991646i \(-0.458827\pi\)
0.975980 0.217862i \(-0.0699083\pi\)
\(174\) −35.5331 + 18.0243i −2.69376 + 1.36642i
\(175\) 14.0955 7.14999i 1.06552 0.540489i
\(176\) −6.95610 + 7.61422i −0.524336 + 0.573943i
\(177\) −6.10956 + 5.38238i −0.459223 + 0.404565i
\(178\) −33.9307 + 15.6980i −2.54322 + 1.17662i
\(179\) −4.57167 + 11.4740i −0.341702 + 0.857608i 0.653239 + 0.757152i \(0.273410\pi\)
−0.994941 + 0.100456i \(0.967970\pi\)
\(180\) −0.976410 + 0.0352737i −0.0727773 + 0.00262915i
\(181\) 4.53511 + 8.55412i 0.337092 + 0.635823i 0.992880 0.119123i \(-0.0380082\pi\)
−0.655788 + 0.754945i \(0.727663\pi\)
\(182\) −27.5973 + 52.0540i −2.04565 + 3.85850i
\(183\) 0.0433511 + 0.136774i 0.00320461 + 0.0101107i
\(184\) 35.7870 6.53253i 2.63825 0.481585i
\(185\) 4.32764 4.40649i 0.318174 0.323971i
\(186\) −15.0045 28.3015i −1.10018 2.07516i
\(187\) 2.19699 3.24031i 0.160660 0.236955i
\(188\) 0.278779 15.4388i 0.0203321 1.12599i
\(189\) 10.5157 18.2137i 0.764903 1.32485i
\(190\) −19.0234 10.5299i −1.38010 0.763917i
\(191\) 2.55026 1.06987i 0.184531 0.0774127i −0.292643 0.956222i \(-0.594535\pi\)
0.477174 + 0.878809i \(0.341661\pi\)
\(192\) 12.1158 9.92034i 0.874384 0.715939i
\(193\) −6.48578 + 10.3517i −0.466857 + 0.745130i −0.994545 0.104308i \(-0.966737\pi\)
0.527688 + 0.849438i \(0.323059\pi\)
\(194\) 20.6771 + 18.2160i 1.48453 + 1.30783i
\(195\) −6.80294 9.29270i −0.487169 0.665464i
\(196\) 22.5482 + 35.9882i 1.61058 + 2.57058i
\(197\) −0.785912 + 6.18520i −0.0559939 + 0.440678i 0.939248 + 0.343240i \(0.111524\pi\)
−0.995242 + 0.0974376i \(0.968935\pi\)
\(198\) −1.51176 0.275956i −0.107436 0.0196113i
\(199\) −7.18877 + 3.01577i −0.509599 + 0.213783i −0.626588 0.779351i \(-0.715549\pi\)
0.116990 + 0.993133i \(0.462676\pi\)
\(200\) 10.9567 + 13.8856i 0.774755 + 0.981860i
\(201\) 11.6417 + 4.88384i 0.821143 + 0.344479i
\(202\) 34.0638 10.1236i 2.39672 0.712296i
\(203\) −32.9216 + 19.8083i −2.31065 + 1.39027i
\(204\) 6.56084 7.18156i 0.459350 0.502810i
\(205\) 2.53479 + 5.74900i 0.177037 + 0.401528i
\(206\) −0.213870 + 0.485067i −0.0149010 + 0.0337962i
\(207\) 1.15282 + 1.26188i 0.0801262 + 0.0877070i
\(208\) −19.9287 5.92272i −1.38181 0.410667i
\(209\) −17.0166 14.9913i −1.17706 1.03697i
\(210\) −20.5212 + 2.23181i −1.41610 + 0.154010i
\(211\) −0.645492 + 7.13080i −0.0444375 + 0.490904i 0.942989 + 0.332824i \(0.108002\pi\)
−0.987426 + 0.158080i \(0.949470\pi\)
\(212\) −2.94744 + 12.3260i −0.202431 + 0.846552i
\(213\) −13.1995 −0.904413
\(214\) 2.14592 8.97409i 0.146692 0.613456i
\(215\) 0.619690 + 1.73500i 0.0422625 + 0.118326i
\(216\) 22.3043 + 7.51521i 1.51762 + 0.511345i
\(217\) −16.4006 26.1763i −1.11335 1.77697i
\(218\) −2.56413 + 15.6405i −0.173665 + 1.05931i
\(219\) 0.512977 2.54883i 0.0346637 0.172234i
\(220\) −5.46615 11.2761i −0.368528 0.760234i
\(221\) 7.80971 + 1.13595i 0.525338 + 0.0764125i
\(222\) 21.9059 10.1347i 1.47023 0.680200i
\(223\) −7.00431 + 1.54177i −0.469043 + 0.103244i −0.443202 0.896422i \(-0.646158\pi\)
−0.0258414 + 0.999666i \(0.508226\pi\)
\(224\) 1.84934 1.75178i 0.123564 0.117046i
\(225\) −0.279527 + 0.782619i −0.0186352 + 0.0521746i
\(226\) 16.3509 + 28.3206i 1.08765 + 1.88386i
\(227\) 6.67793 11.5665i 0.443230 0.767697i −0.554697 0.832052i \(-0.687166\pi\)
0.997927 + 0.0643555i \(0.0204992\pi\)
\(228\) −36.4790 42.9464i −2.41588 2.84420i
\(229\) 18.4004 + 18.7356i 1.21593 + 1.23809i 0.962667 + 0.270690i \(0.0872517\pi\)
0.253265 + 0.967397i \(0.418495\pi\)
\(230\) −4.14681 + 20.6043i −0.273433 + 1.35861i
\(231\) −21.4037 2.32779i −1.40826 0.153157i
\(232\) −29.0011 31.7449i −1.90402 2.08416i
\(233\) 8.31285 + 3.13945i 0.544593 + 0.205672i 0.610305 0.792166i \(-0.291047\pi\)
−0.0657121 + 0.997839i \(0.520932\pi\)
\(234\) −0.828767 2.98495i −0.0541782 0.195132i
\(235\) 4.04750 + 1.69797i 0.264030 + 0.110764i
\(236\) −14.9607 9.75402i −0.973857 0.634933i
\(237\) −1.38517 + 3.87819i −0.0899764 + 0.251915i
\(238\) 8.76222 11.1045i 0.567971 0.719799i
\(239\) 0.507527 + 0.385812i 0.0328292 + 0.0249561i 0.621460 0.783446i \(-0.286540\pi\)
−0.588631 + 0.808402i \(0.700333\pi\)
\(240\) −2.20080 6.94360i −0.142061 0.448208i
\(241\) 6.79015 0.987655i 0.437392 0.0636204i 0.0783157 0.996929i \(-0.475046\pi\)
0.359076 + 0.933308i \(0.383092\pi\)
\(242\) 1.64963 + 6.89864i 0.106042 + 0.443461i
\(243\) 0.534887 + 2.23686i 0.0343130 + 0.143495i
\(244\) −0.263631 + 0.171881i −0.0168772 + 0.0110036i
\(245\) −11.8756 + 2.16775i −0.758701 + 0.138493i
\(246\) 1.32933 + 24.5181i 0.0847551 + 1.56322i
\(247\) 12.2304 44.0499i 0.778202 2.80283i
\(248\) 25.0970 23.7732i 1.59366 1.50960i
\(249\) 6.93708 + 3.20944i 0.439620 + 0.203390i
\(250\) −22.8648 + 6.79534i −1.44610 + 0.429775i
\(251\) −6.26648 3.77042i −0.395537 0.237987i 0.303865 0.952715i \(-0.401723\pi\)
−0.699402 + 0.714728i \(0.746550\pi\)
\(252\) −3.56505 0.920841i −0.224577 0.0580075i
\(253\) −8.84380 + 20.0581i −0.556005 + 1.26104i
\(254\) 32.0531 + 1.15795i 2.01119 + 0.0726561i
\(255\) 1.20611 + 2.48808i 0.0755295 + 0.155809i
\(256\) 25.6700 + 18.0897i 1.60438 + 1.13061i
\(257\) 15.8416 12.0425i 0.988174 0.751190i 0.0195722 0.999808i \(-0.493770\pi\)
0.968602 + 0.248618i \(0.0799765\pi\)
\(258\) −0.129989 + 7.19876i −0.00809274 + 0.448175i
\(259\) 20.3639 11.2719i 1.26535 0.700401i
\(260\) 15.6479 19.8309i 0.970442 1.22986i
\(261\) 0.540460 1.94656i 0.0334536 0.120489i
\(262\) −12.7322 + 17.3920i −0.786599 + 1.07448i
\(263\) −0.684363 + 1.71762i −0.0421996 + 0.105913i −0.948566 0.316580i \(-0.897466\pi\)
0.906366 + 0.422493i \(0.138845\pi\)
\(264\) −2.17218 23.9962i −0.133688 1.47686i
\(265\) −2.94475 2.07517i −0.180894 0.127477i
\(266\) −57.4153 58.4615i −3.52036 3.58450i
\(267\) 8.32109 26.2533i 0.509243 1.60668i
\(268\) −3.49047 + 27.4704i −0.213214 + 1.67802i
\(269\) −0.809123 + 14.9234i −0.0493331 + 0.909896i 0.864204 + 0.503141i \(0.167822\pi\)
−0.913537 + 0.406755i \(0.866660\pi\)
\(270\) −8.80319 + 10.3639i −0.535745 + 0.630728i
\(271\) 0.0178921 0.197655i 0.00108687 0.0120067i −0.995366 0.0961548i \(-0.969346\pi\)
0.996453 + 0.0841481i \(0.0268169\pi\)
\(272\) 4.45148 + 2.25803i 0.269911 + 0.136913i
\(273\) −14.5984 40.8725i −0.883536 2.47372i
\(274\) 14.3948 16.9469i 0.869622 1.02380i
\(275\) −10.6307 + 0.769094i −0.641057 + 0.0463781i
\(276\) −28.9188 + 46.1561i −1.74071 + 2.77827i
\(277\) 17.5412 + 14.3626i 1.05395 + 0.862966i 0.990840 0.135041i \(-0.0431166\pi\)
0.0631097 + 0.998007i \(0.479898\pi\)
\(278\) 3.48793 + 1.31726i 0.209192 + 0.0790040i
\(279\) 1.57258 + 0.406191i 0.0941477 + 0.0243180i
\(280\) −8.24540 20.6944i −0.492757 1.23673i
\(281\) 3.91682 1.98682i 0.233658 0.118524i −0.331654 0.943401i \(-0.607607\pi\)
0.565312 + 0.824877i \(0.308756\pi\)
\(282\) 12.4531 + 11.7962i 0.741574 + 0.702456i
\(283\) 1.87637 + 1.12897i 0.111539 + 0.0671106i 0.570230 0.821485i \(-0.306854\pi\)
−0.458691 + 0.888596i \(0.651682\pi\)
\(284\) −7.74551 27.8968i −0.459611 1.65537i
\(285\) 15.1787 5.11430i 0.899108 0.302945i
\(286\) 30.7415 25.1709i 1.81778 1.48838i
\(287\) 2.98459 + 23.4890i 0.176175 + 1.38651i
\(288\) −0.00725123 + 0.133741i −0.000427283 + 0.00788077i
\(289\) 14.3146 + 4.82313i 0.842033 + 0.283714i
\(290\) 23.2397 8.77674i 1.36468 0.515388i
\(291\) −20.1805 + 2.19477i −1.18300 + 0.128659i
\(292\) 5.68791 0.411500i 0.332860 0.0240812i
\(293\) −0.738908 5.81528i −0.0431675 0.339732i −0.998956 0.0456781i \(-0.985455\pi\)
0.955789 0.294054i \(-0.0950046\pi\)
\(294\) −46.4099 8.47161i −2.70668 0.494075i
\(295\) 4.14975 2.92433i 0.241608 0.170261i
\(296\) 16.8630 + 19.8526i 0.980140 + 1.15391i
\(297\) −11.2908 + 8.58307i −0.655161 + 0.498040i
\(298\) −6.99507 34.7565i −0.405214 2.01339i
\(299\) −44.1615 + 1.59538i −2.55392 + 0.0922630i
\(300\) −26.4139 1.91095i −1.52501 0.110329i
\(301\) 0.375887 + 6.93283i 0.0216658 + 0.399601i
\(302\) −11.5228 8.75940i −0.663062 0.504047i
\(303\) −11.4189 + 23.5561i −0.656001 + 1.35326i
\(304\) 16.2264 23.9322i 0.930649 1.37260i
\(305\) −0.0176504 0.0876997i −0.00101066 0.00502167i
\(306\) 0.0670518 + 0.740727i 0.00383310 + 0.0423445i
\(307\) 8.31622 + 1.20963i 0.474632 + 0.0690371i 0.377055 0.926191i \(-0.376937\pi\)
0.0975769 + 0.995228i \(0.468891\pi\)
\(308\) −7.64004 46.6022i −0.435331 2.65540i
\(309\) −0.157548 0.357325i −0.00896257 0.0203275i
\(310\) 7.39246 + 18.5537i 0.419863 + 1.05378i
\(311\) 21.0980 + 19.9850i 1.19636 + 1.13325i 0.987880 + 0.155221i \(0.0496088\pi\)
0.208476 + 0.978028i \(0.433150\pi\)
\(312\) 41.6183 25.0409i 2.35617 1.41766i
\(313\) 20.3333 + 4.47569i 1.14930 + 0.252981i 0.748470 0.663169i \(-0.230789\pi\)
0.400835 + 0.916150i \(0.368720\pi\)
\(314\) −52.8392 + 11.6308i −2.98189 + 0.656364i
\(315\) 0.618251 0.844519i 0.0348345 0.0475833i
\(316\) −9.00928 0.651789i −0.506812 0.0366660i
\(317\) 14.9953 15.2685i 0.842221 0.857567i −0.149128 0.988818i \(-0.547647\pi\)
0.991349 + 0.131251i \(0.0418994\pi\)
\(318\) −7.90070 11.6527i −0.443049 0.653448i
\(319\) 25.6402 3.72947i 1.43558 0.208810i
\(320\) −8.17853 + 5.33222i −0.457194 + 0.298080i
\(321\) 3.81446 + 5.62591i 0.212903 + 0.314008i
\(322\) −37.1005 + 69.9790i −2.06753 + 3.89977i
\(323\) −4.78774 + 9.87659i −0.266397 + 0.549548i
\(324\) −33.1232 + 18.3344i −1.84018 + 1.01858i
\(325\) −10.7431 18.6075i −0.595918 1.03216i
\(326\) −0.508735 28.1737i −0.0281762 1.56040i
\(327\) −7.23230 9.16561i −0.399947 0.506859i
\(328\) −25.1111 + 8.46091i −1.38653 + 0.467176i
\(329\) 12.7983 + 10.4791i 0.705591 + 0.577733i
\(330\) 13.3436 + 3.96565i 0.734539 + 0.218302i
\(331\) −25.9890 + 6.71286i −1.42848 + 0.368972i −0.883088 0.469207i \(-0.844540\pi\)
−0.545395 + 0.838179i \(0.683620\pi\)
\(332\) −2.71236 + 16.5447i −0.148860 + 0.908007i
\(333\) −0.369766 + 1.16662i −0.0202630 + 0.0639306i
\(334\) 6.63535 4.67594i 0.363070 0.255856i
\(335\) −6.88670 3.81195i −0.376261 0.208269i
\(336\) −0.495592 27.4458i −0.0270368 1.49729i
\(337\) 7.29613 + 4.75691i 0.397446 + 0.259126i 0.729285 0.684210i \(-0.239853\pi\)
−0.331839 + 0.943336i \(0.607669\pi\)
\(338\) 43.9429 + 20.3302i 2.39018 + 1.10581i
\(339\) −23.5266 5.17859i −1.27779 0.281262i
\(340\) −4.55074 + 4.00910i −0.246799 + 0.217424i
\(341\) 3.37009 + 20.5566i 0.182500 + 1.11320i
\(342\) 4.30563 + 0.155545i 0.232822 + 0.00841091i
\(343\) −15.8774 1.72678i −0.857301 0.0932371i
\(344\) −7.52309 + 1.94319i −0.405618 + 0.104770i
\(345\) −9.14555 12.4927i −0.492380 0.672582i
\(346\) −49.1174 + 18.5498i −2.64057 + 0.997243i
\(347\) −6.42793 3.26059i −0.345070 0.175038i 0.271300 0.962495i \(-0.412547\pi\)
−0.616369 + 0.787457i \(0.711397\pi\)
\(348\) 64.3782 3.45103
\(349\) −14.6604 + 11.5790i −0.784751 + 0.619811i
\(350\) −38.5111 −2.05851
\(351\) −25.4978 12.9339i −1.36097 0.690358i
\(352\) −1.60703 + 0.606915i −0.0856551 + 0.0323487i
\(353\) 5.19149 + 7.09148i 0.276315 + 0.377441i 0.922667 0.385598i \(-0.126005\pi\)
−0.646352 + 0.763040i \(0.723706\pi\)
\(354\) 19.2091 4.96164i 1.02095 0.263708i
\(355\) 8.18148 + 0.889790i 0.434228 + 0.0472251i
\(356\) 60.3687 + 2.18088i 3.19954 + 0.115586i
\(357\) 1.68578 + 10.2828i 0.0892209 + 0.544223i
\(358\) 22.5818 19.8941i 1.19349 1.05143i
\(359\) 10.2550 + 2.25730i 0.541239 + 0.119136i 0.477172 0.878810i \(-0.341662\pi\)
0.0640670 + 0.997946i \(0.479593\pi\)
\(360\) 1.06304 + 0.491817i 0.0560274 + 0.0259210i
\(361\) 37.3450 + 24.3481i 1.96553 + 1.28148i
\(362\) −0.425917 23.5872i −0.0223857 1.23972i
\(363\) −4.57155 2.53046i −0.239944 0.132814i
\(364\) 77.8168 54.8376i 4.07871 2.87427i
\(365\) −0.489779 + 1.54527i −0.0256362 + 0.0808832i
\(366\) 0.0565597 0.344999i 0.00295642 0.0180334i
\(367\) 1.31667 0.340091i 0.0687296 0.0177526i −0.215566 0.976489i \(-0.569160\pi\)
0.284296 + 0.958737i \(0.408240\pi\)
\(368\) −26.7912 7.96222i −1.39659 0.415059i
\(369\) −0.963276 0.788723i −0.0501462 0.0410593i
\(370\) −14.2612 + 4.80516i −0.741405 + 0.249808i
\(371\) −8.40973 10.6578i −0.436611 0.553325i
\(372\) 0.934455 + 51.7500i 0.0484492 + 2.68311i
\(373\) −6.14462 10.6428i −0.318157 0.551063i 0.661947 0.749551i \(-0.269730\pi\)
−0.980103 + 0.198487i \(0.936397\pi\)
\(374\) −8.34581 + 4.61960i −0.431552 + 0.238874i
\(375\) 7.66480 15.8117i 0.395808 0.816511i
\(376\) −8.67085 + 16.3550i −0.447165 + 0.843443i
\(377\) 29.3114 + 43.2312i 1.50962 + 2.22652i
\(378\) −42.9273 + 27.9876i −2.20794 + 1.43953i
\(379\) 26.2206 3.81389i 1.34686 0.195906i 0.567962 0.823055i \(-0.307732\pi\)
0.778900 + 0.627148i \(0.215778\pi\)
\(380\) 19.7159 + 29.0787i 1.01140 + 1.49171i
\(381\) −16.5555 + 16.8572i −0.848165 + 0.863619i
\(382\) −6.72106 0.486244i −0.343880 0.0248784i
\(383\) −11.5334 + 15.7544i −0.589329 + 0.805012i −0.993992 0.109453i \(-0.965090\pi\)
0.404663 + 0.914466i \(0.367389\pi\)
\(384\) −35.1453 + 7.73607i −1.79350 + 0.394780i
\(385\) 13.1098 + 2.88569i 0.668138 + 0.147068i
\(386\) 25.5041 15.3453i 1.29813 0.781056i
\(387\) −0.265034 0.251054i −0.0134725 0.0127618i
\(388\) −16.4806 41.3632i −0.836676 2.09990i
\(389\) 0.866164 + 1.96450i 0.0439162 + 0.0996039i 0.935610 0.353035i \(-0.114850\pi\)
−0.891694 + 0.452639i \(0.850483\pi\)
\(390\) 4.53987 + 27.6920i 0.229885 + 1.40224i
\(391\) 10.4990 + 1.52712i 0.530957 + 0.0772298i
\(392\) −4.58987 50.7046i −0.231823 2.56097i
\(393\) −3.13279 15.5659i −0.158028 0.785195i
\(394\) 8.52559 12.5743i 0.429513 0.633484i
\(395\) 1.12001 2.31045i 0.0563537 0.116252i
\(396\) 1.97674 + 1.50268i 0.0993350 + 0.0755125i
\(397\) −1.33363 24.5973i −0.0669329 1.23451i −0.818367 0.574697i \(-0.805120\pi\)
0.751434 0.659809i \(-0.229363\pi\)
\(398\) 18.9456 + 1.37064i 0.949656 + 0.0687042i
\(399\) 60.3222 2.17920i 3.01989 0.109096i
\(400\) −2.68124 13.3223i −0.134062 0.666116i
\(401\) 5.73831 4.36215i 0.286557 0.217835i −0.452013 0.892011i \(-0.649294\pi\)
0.738571 + 0.674176i \(0.235501\pi\)
\(402\) −19.9144 23.4450i −0.993240 1.16933i
\(403\) −34.3257 + 24.1893i −1.70988 + 1.20496i
\(404\) −56.4859 10.3109i −2.81028 0.512986i
\(405\) −1.35648 10.6757i −0.0674043 0.530478i
\(406\) 93.3736 6.75524i 4.63405 0.335257i
\(407\) −15.6041 + 1.69705i −0.773468 + 0.0841197i
\(408\) −10.9091 + 4.11997i −0.540083 + 0.203969i
\(409\) −14.5127 4.88989i −0.717606 0.241790i −0.0632730 0.997996i \(-0.520154\pi\)
−0.654333 + 0.756207i \(0.727050\pi\)
\(410\) 0.828824 15.2868i 0.0409327 0.754959i
\(411\) 2.06465 + 16.2490i 0.101841 + 0.801502i
\(412\) 0.662748 0.542653i 0.0326513 0.0267346i
\(413\) 18.1301 6.10874i 0.892123 0.300591i
\(414\) −1.11415 4.01282i −0.0547577 0.197219i
\(415\) −4.08349 2.45695i −0.200450 0.120607i
\(416\) −2.51404 2.38143i −0.123261 0.116759i
\(417\) −2.44941 + 1.24247i −0.119948 + 0.0608440i
\(418\) 20.4531 + 51.3333i 1.00039 + 2.51079i
\(419\) −12.3808 3.19791i −0.604841 0.156228i −0.0648439 0.997895i \(-0.520655\pi\)
−0.539997 + 0.841667i \(0.681574\pi\)
\(420\) 31.2024 + 11.7840i 1.52252 + 0.574999i
\(421\) 30.6287 + 25.0785i 1.49275 + 1.22225i 0.913329 + 0.407223i \(0.133503\pi\)
0.579421 + 0.815028i \(0.303279\pi\)
\(422\) 9.26276 14.7839i 0.450904 0.719668i
\(423\) −0.867464 + 0.0627578i −0.0421775 + 0.00305139i
\(424\) 9.83588 11.5797i 0.477673 0.562360i
\(425\) 1.73511 + 4.85796i 0.0841653 + 0.235645i
\(426\) 28.6828 + 14.5494i 1.38969 + 0.704922i
\(427\) 0.0303932 0.335756i 0.00147083 0.0162484i
\(428\) −9.65190 + 11.3631i −0.466542 + 0.549256i
\(429\) −1.58456 + 29.2254i −0.0765032 + 1.41102i
\(430\) 0.565847 4.45327i 0.0272876 0.214756i
\(431\) 2.10976 6.65636i 0.101623 0.320626i −0.888875 0.458150i \(-0.848512\pi\)
0.990498 + 0.137524i \(0.0439146\pi\)
\(432\) −12.6706 12.9014i −0.609614 0.620721i
\(433\) −10.9744 7.73368i −0.527397 0.371657i 0.281543 0.959549i \(-0.409154\pi\)
−0.808940 + 0.587891i \(0.799958\pi\)
\(434\) 6.78549 + 74.9598i 0.325714 + 3.59818i
\(435\) −6.77341 + 17.0000i −0.324760 + 0.815087i
\(436\) 15.1274 20.6637i 0.724470 0.989612i
\(437\) 16.4420 59.2186i 0.786526 2.83281i
\(438\) −3.92422 + 4.97323i −0.187506 + 0.237630i
\(439\) −35.5185 + 19.6603i −1.69521 + 0.938335i −0.727554 + 0.686050i \(0.759343\pi\)
−0.967653 + 0.252285i \(0.918818\pi\)
\(440\) −0.271219 + 15.0201i −0.0129299 + 0.716055i
\(441\) 1.90428 1.44760i 0.0906801 0.0689332i
\(442\) −15.7186 11.0769i −0.747655 0.526874i
\(443\) −7.82282 16.1376i −0.371673 0.766722i 0.628263 0.778001i \(-0.283766\pi\)
−0.999936 + 0.0112787i \(0.996410\pi\)
\(444\) −38.9744 1.40799i −1.84964 0.0668202i
\(445\) −6.92746 + 15.7118i −0.328393 + 0.744810i
\(446\) 16.9200 + 4.37037i 0.801184 + 0.206943i
\(447\) 22.3783 + 13.4646i 1.05846 + 0.636853i
\(448\) −35.2688 + 10.4817i −1.66629 + 0.495215i
\(449\) 25.8089 + 11.9405i 1.21800 + 0.563505i 0.920322 0.391162i \(-0.127927\pi\)
0.297675 + 0.954667i \(0.403789\pi\)
\(450\) 1.47008 1.39253i 0.0693002 0.0656446i
\(451\) 4.27177 15.3855i 0.201150 0.724477i
\(452\) −2.86066 52.7617i −0.134554 2.48170i
\(453\) 10.4891 1.91467i 0.492820 0.0899590i
\(454\) −27.2608 + 17.7734i −1.27941 + 0.834148i
\(455\) 6.29333 + 26.3183i 0.295036 + 1.23382i
\(456\) 15.7102 + 65.6990i 0.735699 + 3.07664i
\(457\) −12.1296 + 1.76429i −0.567397 + 0.0825302i −0.421596 0.906784i \(-0.638530\pi\)
−0.145801 + 0.989314i \(0.546576\pi\)
\(458\) −19.3327 60.9953i −0.903357 2.85012i
\(459\) 5.46456 + 4.15405i 0.255064 + 0.193894i
\(460\) 21.0363 26.6597i 0.980823 1.24301i
\(461\) −8.81267 + 24.6737i −0.410447 + 1.14917i 0.540911 + 0.841080i \(0.318080\pi\)
−0.951358 + 0.308087i \(0.900311\pi\)
\(462\) 43.9448 + 28.6510i 2.04450 + 1.33297i
\(463\) −29.8051 12.5036i −1.38516 0.581091i −0.437167 0.899380i \(-0.644018\pi\)
−0.947994 + 0.318289i \(0.896892\pi\)
\(464\) 8.83779 + 31.8308i 0.410284 + 1.47771i
\(465\) −13.7637 5.19801i −0.638274 0.241052i
\(466\) −14.6035 15.9851i −0.676494 0.740497i
\(467\) −0.209448 0.0227788i −0.00969208 0.00105408i 0.103272 0.994653i \(-0.467069\pi\)
−0.112964 + 0.993599i \(0.536034\pi\)
\(468\) −0.987602 + 4.90710i −0.0456519 + 0.226831i
\(469\) −20.7851 21.1638i −0.959765 0.977252i
\(470\) −6.92368 8.15119i −0.319366 0.375986i
\(471\) 19.9279 34.5162i 0.918230 1.59042i
\(472\) 10.7052 + 18.5419i 0.492745 + 0.853460i
\(473\) 1.57487 4.40932i 0.0724127 0.202741i
\(474\) 7.28483 6.90055i 0.334603 0.316953i
\(475\) 29.1837 6.42383i 1.33904 0.294745i
\(476\) −20.7432 + 9.59685i −0.950765 + 0.439871i
\(477\) 0.706401 + 0.102749i 0.0323439 + 0.00470455i
\(478\) −0.677598 1.39781i −0.0309926 0.0639344i
\(479\) −0.206056 + 1.02383i −0.00941495 + 0.0467802i −0.984771 0.173857i \(-0.944377\pi\)
0.975356 + 0.220637i \(0.0708137\pi\)
\(480\) 0.196283 1.19727i 0.00895905 0.0546478i
\(481\) −16.7996 26.8131i −0.765996 1.22257i
\(482\) −15.8438 5.33841i −0.721667 0.243158i
\(483\) −19.6254 54.9471i −0.892987 2.50018i
\(484\) 2.66546 11.1467i 0.121157 0.506670i
\(485\) 12.6565 0.574703
\(486\) 1.30331 5.45034i 0.0591192 0.247232i
\(487\) −0.0399958 + 0.441837i −0.00181238 + 0.0200215i −0.996784 0.0801378i \(-0.974464\pi\)
0.994971 + 0.100159i \(0.0319352\pi\)
\(488\) 0.375073 0.0407916i 0.0169787 0.00184655i
\(489\) 15.5754 + 13.7216i 0.704344 + 0.620511i
\(490\) 28.1953 + 8.37953i 1.27373 + 0.378548i
\(491\) 12.0248 + 13.1624i 0.542670 + 0.594012i 0.947252 0.320489i \(-0.103847\pi\)
−0.404582 + 0.914502i \(0.632583\pi\)
\(492\) 16.0060 36.3023i 0.721606 1.63663i
\(493\) −5.05907 11.4742i −0.227849 0.516771i
\(494\) −75.1320 + 82.2403i −3.38035 + 3.70017i
\(495\) −0.604783 + 0.363886i −0.0271830 + 0.0163555i
\(496\) −25.4587 + 7.56623i −1.14313 + 0.339734i
\(497\) 28.5995 + 11.9978i 1.28286 + 0.538177i
\(498\) −11.5368 14.6207i −0.516975 0.655171i
\(499\) −28.8464 + 12.1014i −1.29134 + 0.541733i −0.921867 0.387507i \(-0.873336\pi\)
−0.369475 + 0.929241i \(0.620463\pi\)
\(500\) 37.9153 + 6.92103i 1.69563 + 0.309518i
\(501\) −0.753738 + 5.93200i −0.0336745 + 0.265022i
\(502\) 9.46118 + 15.1006i 0.422273 + 0.673972i
\(503\) −5.98669 8.17770i −0.266933 0.364626i 0.652556 0.757740i \(-0.273697\pi\)
−0.919490 + 0.393114i \(0.871398\pi\)
\(504\) 3.31213 + 2.91791i 0.147534 + 0.129974i
\(505\) 8.66578 13.8311i 0.385622 0.615475i
\(506\) 41.3273 33.8385i 1.83722 1.50430i
\(507\) −32.8901 + 13.7978i −1.46070 + 0.612782i
\(508\) −45.3421 25.0979i −2.01173 1.11354i
\(509\) 0.0552188 0.0956418i 0.00244753 0.00423925i −0.864799 0.502118i \(-0.832554\pi\)
0.867247 + 0.497879i \(0.165888\pi\)
\(510\) 0.121635 6.73611i 0.00538607 0.298280i
\(511\) −3.42827 + 5.05632i −0.151658 + 0.223678i
\(512\) −17.0594 32.1775i −0.753927 1.42206i
\(513\) 27.8618 28.3695i 1.23013 1.25254i
\(514\) −47.6984 + 8.70682i −2.10388 + 0.384041i
\(515\) 0.0735657 + 0.232102i 0.00324169 + 0.0102276i
\(516\) 5.44927 10.2784i 0.239891 0.452482i
\(517\) −5.22497 9.85535i −0.229794 0.433438i
\(518\) −56.6760 + 2.04747i −2.49020 + 0.0899609i
\(519\) 14.3157 35.9297i 0.628390 1.57714i
\(520\) −27.4845 + 12.7157i −1.20527 + 0.557619i
\(521\) 23.9366 21.0876i 1.04868 0.923864i 0.0514837 0.998674i \(-0.483605\pi\)
0.997198 + 0.0748095i \(0.0238349\pi\)
\(522\) −3.32007 + 3.63419i −0.145316 + 0.159064i
\(523\) −25.2274 + 12.7967i −1.10312 + 0.559560i −0.907047 0.421029i \(-0.861669\pi\)
−0.196071 + 0.980590i \(0.562818\pi\)
\(524\) 31.0598 15.7552i 1.35686 0.688269i
\(525\) 19.1345 20.9448i 0.835097 0.914106i
\(526\) 3.38043 2.97808i 0.147394 0.129850i
\(527\) 9.15002 4.23325i 0.398581 0.184403i
\(528\) −6.85183 + 17.1968i −0.298188 + 0.748394i
\(529\) −36.3836 + 1.31439i −1.58189 + 0.0571475i
\(530\) 4.11160 + 7.75530i 0.178597 + 0.336869i
\(531\) −0.471190 + 0.888758i −0.0204479 + 0.0385688i
\(532\) 40.0030 + 126.211i 1.73435 + 5.47194i
\(533\) 31.6652 5.78014i 1.37157 0.250366i
\(534\) −47.0203 + 47.8770i −2.03477 + 2.07184i
\(535\) −1.98509 3.74427i −0.0858227 0.161879i
\(536\) 18.6296 27.4766i 0.804676 1.18681i
\(537\) −0.400252 + 22.1659i −0.0172722 + 0.956531i
\(538\) 18.2079 31.5370i 0.784999 1.35966i
\(539\) 26.8415 + 14.8574i 1.15614 + 0.639951i
\(540\) 20.2609 8.49970i 0.871892 0.365769i
\(541\) −17.7874 + 14.5642i −0.764742 + 0.626164i −0.933123 0.359558i \(-0.882928\pi\)
0.168381 + 0.985722i \(0.446146\pi\)
\(542\) −0.256750 + 0.409787i −0.0110283 + 0.0176019i
\(543\) 13.0399 + 11.4878i 0.559594 + 0.492989i
\(544\) 0.491105 + 0.670841i 0.0210560 + 0.0287621i
\(545\) 3.86496 + 6.16869i 0.165557 + 0.264238i
\(546\) −13.3300 + 104.908i −0.570471 + 4.48967i
\(547\) 8.37233 + 1.52828i 0.357975 + 0.0653445i 0.355562 0.934653i \(-0.384289\pi\)
0.00241285 + 0.999997i \(0.499232\pi\)
\(548\) −33.1303 + 13.8985i −1.41526 + 0.593716i
\(549\) 0.0109805 + 0.0139158i 0.000468636 + 0.000593910i
\(550\) 23.9486 + 10.0467i 1.02117 + 0.428393i
\(551\) −69.6318 + 20.6943i −2.96641 + 0.881605i
\(552\) 55.9497 33.6638i 2.38138 1.43283i
\(553\) 6.52640 7.14386i 0.277531 0.303788i
\(554\) −22.2860 50.5455i −0.946840 2.14747i
\(555\) 4.47241 10.1436i 0.189843 0.430573i
\(556\) −4.06326 4.44768i −0.172320 0.188624i
\(557\) −42.2980 12.5708i −1.79222 0.532642i −0.794968 0.606652i \(-0.792512\pi\)
−0.997257 + 0.0740104i \(0.976420\pi\)
\(558\) −2.96951 2.61607i −0.125709 0.110747i
\(559\) 9.38320 1.02048i 0.396867 0.0431619i
\(560\) −1.54297 + 17.0453i −0.0652022 + 0.720294i
\(561\) 1.63424 6.83426i 0.0689975 0.288543i
\(562\) −10.7014 −0.451410
\(563\) 7.27337 30.4167i 0.306536 1.28191i −0.578229 0.815874i \(-0.696256\pi\)
0.884765 0.466037i \(-0.154319\pi\)
\(564\) −9.32250 26.1011i −0.392548 1.09905i
\(565\) 14.2335 + 4.79582i 0.598807 + 0.201761i
\(566\) −2.83296 4.52156i −0.119078 0.190055i
\(567\) 6.56113 40.0211i 0.275542 1.68073i
\(568\) −6.84807 + 34.0261i −0.287339 + 1.42770i
\(569\) 11.8857 + 24.5190i 0.498276 + 1.02789i 0.987775 + 0.155887i \(0.0498234\pi\)
−0.489499 + 0.872004i \(0.662820\pi\)
\(570\) −38.6210 5.61758i −1.61766 0.235295i
\(571\) −17.2751 + 7.99229i −0.722938 + 0.334467i −0.746618 0.665253i \(-0.768324\pi\)
0.0236799 + 0.999720i \(0.492462\pi\)
\(572\) −62.6972 + 13.8007i −2.62150 + 0.577036i
\(573\) 3.60385 3.41375i 0.150553 0.142611i
\(574\) 19.4057 54.3321i 0.809980 2.26778i
\(575\) −14.4425 25.0151i −0.602292 1.04320i
\(576\) 0.967298 1.67541i 0.0403041 0.0698087i
\(577\) 18.2253 + 21.4565i 0.758730 + 0.893246i 0.996956 0.0779639i \(-0.0248419\pi\)
−0.238226 + 0.971210i \(0.576566\pi\)
\(578\) −25.7894 26.2593i −1.07270 1.09224i
\(579\) −4.32611 + 21.4952i −0.179787 + 0.893309i
\(580\) −39.9038 4.33980i −1.65691 0.180200i
\(581\) −12.1134 13.2595i −0.502550 0.550096i
\(582\) 46.2720 + 17.4752i 1.91804 + 0.724370i
\(583\) 2.44930 + 8.82158i 0.101440 + 0.365352i
\(584\) −6.30432 2.64474i −0.260875 0.109440i
\(585\) −1.19188 0.777081i −0.0492783 0.0321284i
\(586\) −4.80436 + 13.4512i −0.198466 + 0.555665i
\(587\) −25.2957 + 32.0577i −1.04407 + 1.32316i −0.0994291 + 0.995045i \(0.531702\pi\)
−0.944637 + 0.328118i \(0.893586\pi\)
\(588\) 60.6843 + 46.1310i 2.50258 + 1.90241i
\(589\) −17.6457 55.6727i −0.727077 2.29395i
\(590\) −12.2409 + 1.78049i −0.503950 + 0.0733016i
\(591\) 2.60272 + 10.8844i 0.107061 + 0.447723i
\(592\) −4.65422 19.4636i −0.191287 0.799950i
\(593\) 11.8411 7.72013i 0.486256 0.317028i −0.279515 0.960141i \(-0.590174\pi\)
0.765771 + 0.643113i \(0.222358\pi\)
\(594\) 33.9962 6.20563i 1.39488 0.254620i
\(595\) −0.351729 6.48727i −0.0144195 0.265952i
\(596\) −15.3254 + 55.1972i −0.627754 + 2.26096i
\(597\) −10.1587 + 9.62280i −0.415767 + 0.393835i
\(598\) 97.7225 + 45.2112i 3.99617 + 1.84882i
\(599\) 0.789181 0.234541i 0.0322451 0.00958309i −0.268718 0.963219i \(-0.586600\pi\)
0.300963 + 0.953636i \(0.402692\pi\)
\(600\) 27.2038 + 16.3680i 1.11059 + 0.668219i
\(601\) 24.6821 + 6.37530i 1.00680 + 0.260054i 0.717031 0.697041i \(-0.245501\pi\)
0.289773 + 0.957095i \(0.406420\pi\)
\(602\) 6.82506 15.4795i 0.278169 0.630898i
\(603\) 1.55869 + 0.0563092i 0.0634748 + 0.00229309i
\(604\) 10.2016 + 21.0449i 0.415099 + 0.856305i
\(605\) 2.66302 + 1.87663i 0.108267 + 0.0762960i
\(606\) 50.7788 38.6011i 2.06275 1.56806i
\(607\) −0.498795 + 27.6232i −0.0202455 + 1.12119i 0.817770 + 0.575545i \(0.195210\pi\)
−0.838016 + 0.545646i \(0.816284\pi\)
\(608\) 4.21366 2.33236i 0.170887 0.0945896i
\(609\) −42.7193 + 54.1389i −1.73107 + 2.19382i
\(610\) −0.0583143 + 0.210029i −0.00236108 + 0.00850383i
\(611\) 13.2828 18.1441i 0.537365 0.734031i
\(612\) 0.444814 1.11640i 0.0179805 0.0451278i
\(613\) 0.668585 + 7.38591i 0.0270039 + 0.298314i 0.998197 + 0.0600207i \(0.0191167\pi\)
−0.971193 + 0.238293i \(0.923412\pi\)
\(614\) −16.7380 11.7953i −0.675491 0.476020i
\(615\) 7.90210 + 8.04608i 0.318643 + 0.324449i
\(616\) −17.1052 + 53.9674i −0.689187 + 2.17441i
\(617\) 4.15105 32.6692i 0.167115 1.31521i −0.659184 0.751982i \(-0.729098\pi\)
0.826299 0.563231i \(-0.190442\pi\)
\(618\) −0.0515148 + 0.950135i −0.00207223 + 0.0382200i
\(619\) 31.4661 37.0447i 1.26473 1.48895i 0.469127 0.883131i \(-0.344569\pi\)
0.795600 0.605822i \(-0.207156\pi\)
\(620\) 2.90931 32.1394i 0.116841 1.29075i
\(621\) −34.2781 17.3877i −1.37553 0.697743i
\(622\) −23.8174 66.6837i −0.954990 2.67377i
\(623\) −41.8928 + 49.3200i −1.67840 + 1.97596i
\(624\) −37.2195 + 2.69269i −1.48997 + 0.107794i
\(625\) 4.13192 6.59477i 0.165277 0.263791i
\(626\) −39.2513 32.1386i −1.56880 1.28452i
\(627\) −38.0805 14.3816i −1.52079 0.574345i
\(628\) 84.6429 + 21.8630i 3.37762 + 0.872428i
\(629\) 2.81181 + 7.05710i 0.112114 + 0.281385i
\(630\) −2.27437 + 1.15368i −0.0906129 + 0.0459637i
\(631\) 22.1669 + 20.9976i 0.882451 + 0.835902i 0.987346 0.158582i \(-0.0506921\pi\)
−0.104895 + 0.994483i \(0.533451\pi\)
\(632\) 9.27867 + 5.58279i 0.369086 + 0.222071i
\(633\) 3.43816 + 12.3831i 0.136655 + 0.492185i
\(634\) −49.4153 + 16.6500i −1.96253 + 0.661254i
\(635\) 11.3980 9.33262i 0.452317 0.370354i
\(636\) 2.86737 + 22.5665i 0.113699 + 0.894821i
\(637\) −3.34821 + 61.7541i −0.132661 + 2.44679i
\(638\) −59.8277 20.1583i −2.36860 0.798075i
\(639\) −1.52556 + 0.576146i −0.0603502 + 0.0227920i
\(640\) 22.3058 2.42590i 0.881713 0.0958920i
\(641\) 20.2431 1.46452i 0.799555 0.0578449i 0.333670 0.942690i \(-0.391713\pi\)
0.465885 + 0.884845i \(0.345736\pi\)
\(642\) −2.08763 16.4298i −0.0823920 0.648434i
\(643\) 19.9009 + 3.63269i 0.784814 + 0.143259i 0.557074 0.830463i \(-0.311924\pi\)
0.227740 + 0.973722i \(0.426866\pi\)
\(644\) 104.613 73.7210i 4.12233 2.90502i
\(645\) 2.14083 + 2.52038i 0.0842951 + 0.0992398i
\(646\) 21.2906 16.1847i 0.837666 0.636777i
\(647\) 5.00980 + 24.8922i 0.196955 + 0.978614i 0.947978 + 0.318337i \(0.103124\pi\)
−0.751022 + 0.660277i \(0.770439\pi\)
\(648\) 45.3564 1.63854i 1.78177 0.0643680i
\(649\) −12.8680 0.930955i −0.505114 0.0365432i
\(650\) 2.83434 + 52.2764i 0.111172 + 2.05045i
\(651\) −44.1393 33.5538i −1.72996 1.31508i
\(652\) −19.8605 + 40.9702i −0.777799 + 1.60452i
\(653\) −1.69357 + 2.49783i −0.0662746 + 0.0977478i −0.859382 0.511334i \(-0.829152\pi\)
0.793107 + 0.609082i \(0.208462\pi\)
\(654\) 5.61294 + 27.8891i 0.219483 + 1.09055i
\(655\) 0.892494 + 9.85945i 0.0348726 + 0.385241i
\(656\) 20.1464 + 2.93038i 0.786585 + 0.114412i
\(657\) −0.0519658 0.316978i −0.00202738 0.0123665i
\(658\) −16.2601 36.8786i −0.633884 1.43768i
\(659\) −0.981830 2.46421i −0.0382467 0.0959919i 0.908613 0.417640i \(-0.137143\pi\)
−0.946859 + 0.321648i \(0.895763\pi\)
\(660\) −16.3294 15.4680i −0.635621 0.602092i
\(661\) 6.21110 3.73710i 0.241584 0.145356i −0.389613 0.920978i \(-0.627391\pi\)
0.631197 + 0.775622i \(0.282564\pi\)
\(662\) 63.8741 + 14.0597i 2.48254 + 0.546447i
\(663\) 13.8342 3.04513i 0.537275 0.118263i
\(664\) 11.8724 16.2175i 0.460740 0.629362i
\(665\) −37.5366 2.71564i −1.45561 0.105308i
\(666\) 2.08945 2.12752i 0.0809645 0.0824397i
\(667\) 39.4049 + 58.1179i 1.52576 + 2.25033i
\(668\) −12.9794 + 1.88791i −0.502190 + 0.0730455i
\(669\) −10.7837 + 7.03071i −0.416921 + 0.271823i
\(670\) 10.7632 + 15.8745i 0.415817 + 0.613285i
\(671\) −0.106492 + 0.200865i −0.00411107 + 0.00775429i
\(672\) 1.99443 4.11430i 0.0769370 0.158713i
\(673\) −29.5524 + 16.3579i −1.13916 + 0.630552i −0.937183 0.348838i \(-0.886576\pi\)
−0.201979 + 0.979390i \(0.564737\pi\)
\(674\) −10.6112 18.3792i −0.408730 0.707941i
\(675\) −0.337400 18.6852i −0.0129865 0.719193i
\(676\) −48.4614 61.4160i −1.86390 2.36215i
\(677\) −3.91856 + 1.32032i −0.150602 + 0.0507439i −0.393593 0.919285i \(-0.628768\pi\)
0.242991 + 0.970029i \(0.421872\pi\)
\(678\) 45.4156 + 37.1859i 1.74417 + 1.42812i
\(679\) 45.7205 + 13.5879i 1.75459 + 0.521457i
\(680\) 7.03959 1.81830i 0.269956 0.0697287i
\(681\) 3.87836 23.6570i 0.148619 0.906537i
\(682\) 15.3357 48.3848i 0.587236 1.85275i
\(683\) 10.3914 7.32281i 0.397614 0.280200i −0.359935 0.932977i \(-0.617201\pi\)
0.757549 + 0.652778i \(0.226397\pi\)
\(684\) −6.09072 3.37135i −0.232885 0.128907i
\(685\) −0.184378 10.2108i −0.00704472 0.390136i
\(686\) 32.5987 + 21.2536i 1.24462 + 0.811466i
\(687\) 42.7787 + 19.7915i 1.63211 + 0.755093i
\(688\) 5.83008 + 1.28330i 0.222270 + 0.0489253i
\(689\) −13.8483 + 12.2001i −0.527579 + 0.464785i
\(690\) 6.10318 + 37.2277i 0.232344 + 1.41724i
\(691\) 21.4853 + 0.776177i 0.817339 + 0.0295272i 0.441615 0.897205i \(-0.354406\pi\)
0.375724 + 0.926732i \(0.377394\pi\)
\(692\) 84.3372 + 9.17223i 3.20602 + 0.348676i
\(693\) −2.57538 + 0.665213i −0.0978307 + 0.0252693i
\(694\) 10.3740 + 14.1707i 0.393791 + 0.537912i
\(695\) 1.60198 0.605008i 0.0607667 0.0229493i
\(696\) −68.8290 34.9137i −2.60896 1.32340i
\(697\) −7.72800 −0.292719
\(698\) 44.6206 9.00178i 1.68891 0.340722i
\(699\) 15.9496 0.603268
\(700\) 55.4945 + 28.1498i 2.09750 + 1.06396i
\(701\) −30.9265 + 11.6798i −1.16808 + 0.441139i −0.860035 0.510234i \(-0.829559\pi\)
−0.308042 + 0.951373i \(0.599674\pi\)
\(702\) 41.1508 + 56.2112i 1.55314 + 2.12155i
\(703\) 42.6076 11.0054i 1.60697 0.415076i
\(704\) 24.6667 + 2.68267i 0.929662 + 0.101107i
\(705\) 7.87321 + 0.284427i 0.296522 + 0.0107121i
\(706\) −3.46448 21.1324i −0.130387 0.795328i
\(707\) 46.1532 40.6599i 1.73577 1.52917i
\(708\) −31.3070 6.89120i −1.17659 0.258987i
\(709\) −47.4407 21.9484i −1.78167 0.824290i −0.971108 0.238640i \(-0.923298\pi\)
−0.810565 0.585649i \(-0.800840\pi\)
\(710\) −16.7978 10.9518i −0.630409 0.411012i
\(711\) 0.00918548 + 0.508691i 0.000344483 + 0.0190774i
\(712\) −63.3596 35.0710i −2.37450 1.31434i
\(713\) −46.1458 + 32.5190i −1.72817 + 1.21785i
\(714\) 7.67122 24.2030i 0.287088 0.905773i
\(715\) 2.95228 18.0081i 0.110409 0.673465i
\(716\) −47.0821 + 12.1611i −1.75954 + 0.454483i
\(717\) 1.09689 + 0.325990i 0.0409640 + 0.0121743i
\(718\) −19.7962 16.2090i −0.738789 0.604915i
\(719\) 1.00511 0.338660i 0.0374842 0.0126299i −0.300497 0.953783i \(-0.597153\pi\)
0.337981 + 0.941153i \(0.390256\pi\)
\(720\) −0.557445 0.706459i −0.0207747 0.0263282i
\(721\) 0.0165660 + 0.917426i 0.000616952 + 0.0341667i
\(722\) −54.3133 94.0734i −2.02133 3.50105i
\(723\) 10.7755 5.96446i 0.400744 0.221821i
\(724\) −16.6274 + 34.3005i −0.617952 + 1.27477i
\(725\) −15.9918 + 30.1638i −0.593922 + 1.12026i
\(726\) 7.14483 + 10.5378i 0.265169 + 0.391096i
\(727\) 8.13901 5.30645i 0.301859 0.196805i −0.386285 0.922380i \(-0.626242\pi\)
0.688144 + 0.725574i \(0.258426\pi\)
\(728\) −112.936 + 16.4270i −4.18570 + 0.608827i
\(729\) −13.8726 20.4605i −0.513799 0.757798i
\(730\) 2.76761 2.81804i 0.102434 0.104300i
\(731\) −2.26015 0.163514i −0.0835948 0.00604778i
\(732\) −0.333680 + 0.455801i −0.0123332 + 0.0168469i
\(733\) 0.850603 0.187232i 0.0314177 0.00691557i −0.199234 0.979952i \(-0.563845\pi\)
0.230651 + 0.973036i \(0.425914\pi\)
\(734\) −3.23603 0.712304i −0.119444 0.0262916i
\(735\) −18.5663 + 11.1710i −0.684829 + 0.412048i
\(736\) −3.37976 3.20148i −0.124579 0.118008i
\(737\) 7.40426 + 18.5833i 0.272740 + 0.684525i
\(738\) 1.22383 + 2.77571i 0.0450499 + 0.102175i
\(739\) −6.19144 37.7661i −0.227756 1.38925i −0.814823 0.579710i \(-0.803166\pi\)
0.587067 0.809538i \(-0.300283\pi\)
\(740\) 24.0628 + 3.50002i 0.884564 + 0.128663i
\(741\) −7.39772 81.7232i −0.271762 3.00218i
\(742\) 6.52674 + 32.4294i 0.239604 + 1.19052i
\(743\) 3.47861 5.13056i 0.127618 0.188222i −0.758512 0.651659i \(-0.774073\pi\)
0.886130 + 0.463437i \(0.153384\pi\)
\(744\) 27.0661 55.8346i 0.992293 2.04699i
\(745\) −12.9632 9.85435i −0.474934 0.361036i
\(746\) 1.62114 + 29.9001i 0.0593540 + 1.09472i
\(747\) 0.941857 + 0.0681399i 0.0344608 + 0.00249311i
\(748\) 15.4030 0.556449i 0.563190 0.0203458i
\(749\) −3.15112 15.6570i −0.115139 0.572093i
\(750\) −34.0846 + 25.9104i −1.24459 + 0.946114i
\(751\) −19.3651 22.7984i −0.706644 0.831926i 0.285322 0.958432i \(-0.407899\pi\)
−0.991966 + 0.126506i \(0.959624\pi\)
\(752\) 11.6255 8.19251i 0.423938 0.298750i
\(753\) −12.9135 2.35722i −0.470594 0.0859018i
\(754\) −16.0419 126.252i −0.584212 4.59781i
\(755\) −6.63056 + 0.479697i −0.241311 + 0.0174579i
\(756\) 82.3158 8.95239i 2.99380 0.325595i
\(757\) −39.2124 + 14.8090i −1.42520 + 0.538243i −0.941506 0.336995i \(-0.890589\pi\)
−0.483692 + 0.875238i \(0.660704\pi\)
\(758\) −61.1819 20.6146i −2.22223 0.748756i
\(759\) −2.13020 + 39.2893i −0.0773215 + 1.42611i
\(760\) −5.30889 41.7815i −0.192574 1.51557i
\(761\) −13.8740 + 11.3599i −0.502931 + 0.411796i −0.850593 0.525824i \(-0.823757\pi\)
0.347663 + 0.937620i \(0.386975\pi\)
\(762\) 54.5568 18.3823i 1.97638 0.665921i
\(763\) 7.33913 + 26.4332i 0.265694 + 0.956945i
\(764\) 9.32964 + 5.61346i 0.337534 + 0.203088i
\(765\) 0.248001 + 0.234919i 0.00896650 + 0.00849352i
\(766\) 42.4280 21.5217i 1.53299 0.777612i
\(767\) −9.62656 24.1608i −0.347595 0.872397i
\(768\) 54.5760 + 14.0968i 1.96934 + 0.508674i
\(769\) 18.5680 + 7.01245i 0.669581 + 0.252875i 0.664697 0.747113i \(-0.268560\pi\)
0.00488341 + 0.999988i \(0.498446\pi\)
\(770\) −25.3071 20.7213i −0.912005 0.746742i
\(771\) 18.9639 30.2674i 0.682968 1.09005i
\(772\) −47.9682 + 3.47032i −1.72641 + 0.124900i
\(773\) −30.2467 + 35.6092i −1.08790 + 1.28077i −0.130674 + 0.991425i \(0.541714\pi\)
−0.957224 + 0.289347i \(0.906562\pi\)
\(774\) 0.299196 + 0.837687i 0.0107544 + 0.0301100i
\(775\) −24.4791 12.4171i −0.879316 0.446036i
\(776\) −4.81220 + 53.1607i −0.172748 + 1.90836i
\(777\) 27.0462 31.8413i 0.970279 1.14230i
\(778\) 0.283218 5.22365i 0.0101539 0.187277i
\(779\) −5.64285 + 44.4098i −0.202176 + 1.59115i
\(780\) 13.6996 43.2226i 0.490523 1.54762i
\(781\) −14.6550 14.9220i −0.524396 0.533950i
\(782\) −21.1313 14.8912i −0.755653 0.532510i
\(783\) 4.09563 + 45.2447i 0.146366 + 1.61691i
\(784\) −14.4781 + 36.3373i −0.517075 + 1.29776i
\(785\) −14.6788 + 20.0509i −0.523907 + 0.715648i
\(786\) −10.3503 + 37.2782i −0.369181 + 1.32967i
\(787\) −2.32955 + 2.95227i −0.0830393 + 0.105237i −0.824792 0.565437i \(-0.808708\pi\)
0.741752 + 0.670674i \(0.233995\pi\)
\(788\) −21.4766 + 11.8878i −0.765072 + 0.423485i
\(789\) −0.0599164 + 3.31817i −0.00213308 + 0.118130i
\(790\) −4.98055 + 3.78612i −0.177200 + 0.134704i
\(791\) 46.2683 + 32.6053i 1.64511 + 1.15931i
\(792\) −1.29847 2.67860i −0.0461391 0.0951799i
\(793\) −0.458004 0.0165458i −0.0162642 0.000587560i
\(794\) −24.2150 + 54.9206i −0.859358 + 1.94906i
\(795\) −6.26070 1.61712i −0.222044 0.0573532i
\(796\) −26.2987 15.8234i −0.932134 0.560846i
\(797\) −6.16441 + 1.83204i −0.218355 + 0.0648941i −0.392204 0.919878i \(-0.628287\pi\)
0.173850 + 0.984772i \(0.444379\pi\)
\(798\) −133.484 61.7561i −4.72527 2.18614i
\(799\) −3.91942 + 3.71267i −0.138659 + 0.131345i
\(800\) 0.605553 2.18101i 0.0214095 0.0771102i
\(801\) −0.184207 3.39750i −0.00650863 0.120045i
\(802\) −17.2778 + 3.15387i −0.610099 + 0.111367i
\(803\) 3.45099 2.24997i 0.121783 0.0793996i
\(804\) 11.5595 + 48.3408i 0.407671 + 1.70485i
\(805\) 8.46046 + 35.3810i 0.298192 + 1.24702i
\(806\) 101.254 14.7278i 3.56651 0.518763i
\(807\) 8.10513 + 25.5720i 0.285314 + 0.900176i
\(808\) 54.7993 + 41.6573i 1.92783 + 1.46550i
\(809\) 8.10792 10.2753i 0.285059 0.361261i −0.621444 0.783458i \(-0.713454\pi\)
0.906504 + 0.422198i \(0.138741\pi\)
\(810\) −8.81984 + 24.6937i −0.309897 + 0.867648i
\(811\) −21.3357 13.9104i −0.749199 0.488461i 0.113902 0.993492i \(-0.463665\pi\)
−0.863101 + 0.505031i \(0.831481\pi\)
\(812\) −139.489 58.5174i −4.89511 2.05356i
\(813\) −0.0953007 0.343242i −0.00334234 0.0120380i
\(814\) 35.7787 + 13.5123i 1.25404 + 0.473605i
\(815\) −8.72918 9.55505i −0.305770 0.334699i
\(816\) 8.90672 + 0.968665i 0.311798 + 0.0339100i
\(817\) −2.58998 + 12.8688i −0.0906119 + 0.450224i
\(818\) 26.1464 + 26.6228i 0.914187 + 0.930844i
\(819\) −3.47129 4.08672i −0.121297 0.142802i
\(820\) −12.3682 + 21.4224i −0.431917 + 0.748102i
\(821\) −24.6966 42.7757i −0.861916 1.49288i −0.870077 0.492915i \(-0.835931\pi\)
0.00816178 0.999967i \(-0.497402\pi\)
\(822\) 13.4243 37.5852i 0.468226 1.31093i
\(823\) −11.7415 + 11.1221i −0.409282 + 0.387692i −0.864455 0.502711i \(-0.832336\pi\)
0.455173 + 0.890403i \(0.349577\pi\)
\(824\) −1.00286 + 0.220746i −0.0349363 + 0.00769006i
\(825\) −17.3630 + 8.03299i −0.604503 + 0.279673i
\(826\) −46.1306 6.70988i −1.60509 0.233467i
\(827\) 1.92402 + 3.96904i 0.0669046 + 0.138017i 0.930649 0.365913i \(-0.119243\pi\)
−0.863744 + 0.503930i \(0.831887\pi\)
\(828\) −1.32768 + 6.59687i −0.0461402 + 0.229257i
\(829\) 4.56150 27.8239i 0.158428 0.966365i −0.781229 0.624245i \(-0.785407\pi\)
0.939656 0.342120i \(-0.111145\pi\)
\(830\) 6.16528 + 9.84013i 0.214000 + 0.341556i
\(831\) 38.5628 + 12.9933i 1.33773 + 0.450733i
\(832\) 16.8240 + 47.1037i 0.583267 + 1.63303i
\(833\) 3.45318 14.4410i 0.119646 0.500350i
\(834\) 6.69216 0.231731
\(835\) 0.867074 3.62604i 0.0300063 0.125484i
\(836\) 8.04933 88.9216i 0.278392 3.07542i
\(837\) −36.3102 + 3.94897i −1.25506 + 0.136497i
\(838\) 23.3787 + 20.5961i 0.807605 + 0.711482i
\(839\) −1.55315 0.461591i −0.0536208 0.0159359i 0.257959 0.966156i \(-0.416950\pi\)
−0.311580 + 0.950220i \(0.600858\pi\)
\(840\) −26.9689 29.5204i −0.930516 1.01855i
\(841\) 21.7830 49.4047i 0.751137 1.70361i
\(842\) −38.9134 88.2573i −1.34105 3.04155i
\(843\) 5.31703 5.82008i 0.183128 0.200454i
\(844\) −24.1540 + 14.5330i −0.831413 + 0.500245i
\(845\) 21.3165 6.33518i 0.733311 0.217937i
\(846\) 1.95420 + 0.819808i 0.0671866 + 0.0281856i
\(847\) 7.60516 + 9.63815i 0.261316 + 0.331171i
\(848\) −10.7641 + 4.51565i −0.369639 + 0.155068i
\(849\) 3.86669 + 0.705822i 0.132704 + 0.0242237i
\(850\) 1.58435 12.4690i 0.0543429 0.427684i
\(851\) −22.5846 36.0463i −0.774190 1.23565i
\(852\) −30.6970 41.9315i −1.05166 1.43655i
\(853\) 26.1235 + 23.0142i 0.894453 + 0.787993i 0.978020 0.208509i \(-0.0668612\pi\)
−0.0835671 + 0.996502i \(0.526631\pi\)
\(854\) −0.436140 + 0.696104i −0.0149244 + 0.0238202i
\(855\) 1.53108 1.25363i 0.0523617 0.0428734i
\(856\) 16.4817 6.91425i 0.563332 0.236324i
\(857\) −37.6458 20.8378i −1.28596 0.711805i −0.314552 0.949240i \(-0.601854\pi\)
−0.971403 + 0.237435i \(0.923693\pi\)
\(858\) 35.6577 61.7610i 1.21733 2.10848i
\(859\) −0.0104820 + 0.580494i −0.000357642 + 0.0198062i −0.999967 0.00815016i \(-0.997406\pi\)
0.999609 + 0.0279564i \(0.00889995\pi\)
\(860\) −4.07052 + 6.00356i −0.138803 + 0.204720i
\(861\) 19.9074 + 37.5493i 0.678441 + 1.27968i
\(862\) −11.9217 + 12.1389i −0.406054 + 0.413452i
\(863\) 53.6133 9.78653i 1.82502 0.333137i 0.845420 0.534101i \(-0.179350\pi\)
0.979599 + 0.200964i \(0.0644074\pi\)
\(864\) −0.910033 2.87119i −0.0309600 0.0976797i
\(865\) −11.2954 + 21.3054i −0.384056 + 0.724407i
\(866\) 15.3230 + 28.9023i 0.520697 + 0.982139i
\(867\) 27.0951 0.978838i 0.920199 0.0332431i
\(868\) 45.0141 112.977i 1.52788 3.83469i
\(869\) −5.92219 + 2.73990i −0.200897 + 0.0929446i
\(870\) 33.4574 29.4752i 1.13431 0.999303i
\(871\) −27.1987 + 29.7720i −0.921594 + 1.00879i
\(872\) −27.3796 + 13.8884i −0.927191 + 0.470321i
\(873\) −2.23661 + 1.13453i −0.0756978 + 0.0383980i
\(874\) −101.004 + 110.560i −3.41651 + 3.73975i
\(875\) −30.9797 + 27.2924i −1.04730 + 0.922651i
\(876\) 9.28999 4.29801i 0.313880 0.145216i
\(877\) 6.41481 16.0999i 0.216613 0.543657i −0.780011 0.625766i \(-0.784786\pi\)
0.996623 + 0.0821096i \(0.0261657\pi\)
\(878\) 98.8536 3.57118i 3.33615 0.120522i
\(879\) −4.92855 9.29624i −0.166236 0.313554i
\(880\) 5.40625 10.1973i 0.182245 0.343750i
\(881\) 3.85780 + 12.1715i 0.129973 + 0.410068i 0.995939 0.0900348i \(-0.0286978\pi\)
−0.865966 + 0.500103i \(0.833296\pi\)
\(882\) −5.73370 + 1.04662i −0.193064 + 0.0352417i
\(883\) −5.19079 + 5.28536i −0.174684 + 0.177867i −0.795239 0.606296i \(-0.792655\pi\)
0.620555 + 0.784163i \(0.286907\pi\)
\(884\) 14.5538 + 27.4513i 0.489496 + 0.923288i
\(885\) 5.11362 7.54203i 0.171893 0.253523i
\(886\) −0.788921 + 43.6903i −0.0265043 + 1.46781i
\(887\) −10.4927 + 18.1738i −0.352309 + 0.610217i −0.986654 0.162833i \(-0.947937\pi\)
0.634345 + 0.773050i \(0.281270\pi\)
\(888\) 40.9054 + 22.6421i 1.37269 + 0.759818i
\(889\) 51.1937 21.4763i 1.71698 0.720294i
\(890\) 32.3722 26.5061i 1.08512 0.888487i
\(891\) −14.5207 + 23.1759i −0.486463 + 0.776423i
\(892\) −21.1872 18.6654i −0.709399 0.624964i
\(893\) 18.4734 + 25.2343i 0.618189 + 0.844435i
\(894\) −33.7870 53.9259i −1.13001 1.80355i
\(895\) 1.74232 13.7122i 0.0582392 0.458349i
\(896\) 83.1818 + 15.1839i 2.77891 + 0.507260i
\(897\) −73.1427 + 30.6842i −2.44216 + 1.02452i
\(898\) −42.9217 54.3953i −1.43231 1.81520i
\(899\) 61.5299 + 25.8125i 2.05214 + 0.860896i
\(900\) −3.13626 + 0.932083i −0.104542 + 0.0310694i
\(901\) 3.79673 2.28441i 0.126487 0.0761049i
\(902\) −26.2417 + 28.7245i −0.873754 + 0.956420i
\(903\) 5.02768 + 11.4030i 0.167311 + 0.379468i
\(904\) −25.5555 + 57.9609i −0.849962 + 1.92775i
\(905\) −7.30814 7.99956i −0.242931 0.265915i
\(906\) −24.9035 7.40122i −0.827364 0.245889i
\(907\) −15.8977 14.0055i −0.527875 0.465046i 0.354858 0.934920i \(-0.384529\pi\)
−0.882733 + 0.469874i \(0.844299\pi\)
\(908\) 52.2743 5.68517i 1.73478 0.188669i
\(909\) −0.291568 + 3.22097i −0.00967069 + 0.106833i
\(910\) 15.3344 64.1272i 0.508329 2.12580i
\(911\) −31.5538 −1.04543 −0.522713 0.852509i \(-0.675080\pi\)
−0.522713 + 0.852509i \(0.675080\pi\)
\(912\) 12.0701 50.4762i 0.399680 1.67143i
\(913\) 4.07376 + 11.4057i 0.134822 + 0.377473i
\(914\) 28.3026 + 9.53625i 0.936166 + 0.315431i
\(915\) −0.0852534 0.136069i −0.00281839 0.00449831i
\(916\) −16.7262 + 102.025i −0.552650 + 3.37102i
\(917\) −7.36096 + 36.5745i −0.243080 + 1.20780i
\(918\) −7.29571 15.0503i −0.240794 0.496733i
\(919\) −25.3844 3.69227i −0.837356 0.121797i −0.288256 0.957553i \(-0.593075\pi\)
−0.549100 + 0.835757i \(0.685029\pi\)
\(920\) −36.9488 + 17.0943i −1.21817 + 0.563584i
\(921\) 14.7314 3.24263i 0.485416 0.106848i
\(922\) 46.3473 43.9025i 1.52637 1.44585i
\(923\) 14.1814 39.7051i 0.466787 1.30691i
\(924\) −42.3820 73.4078i −1.39427 2.41494i
\(925\) 10.3411 17.9114i 0.340014 0.588922i
\(926\) 50.9848 + 60.0240i 1.67547 + 1.97251i
\(927\) −0.0338058 0.0344218i −0.00111033 0.00113056i
\(928\) −1.08565 + 5.39426i −0.0356381 + 0.177075i
\(929\) 3.49904 + 0.380544i 0.114800 + 0.0124852i 0.165339 0.986237i \(-0.447128\pi\)
−0.0505387 + 0.998722i \(0.516094\pi\)
\(930\) 24.1791 + 26.4667i 0.792864 + 0.867878i
\(931\) −80.4652 30.3887i −2.63714 0.995948i
\(932\) 9.35927 + 33.7091i 0.306573 + 1.10418i
\(933\) 48.1006 + 20.1788i 1.57474 + 0.660624i
\(934\) 0.430026 + 0.280367i 0.0140709 + 0.00917390i
\(935\) −1.47366 + 4.12594i −0.0481938 + 0.134933i
\(936\) 3.71712 4.71076i 0.121498 0.153976i
\(937\) −9.23450 7.01989i −0.301678 0.229330i 0.443373 0.896337i \(-0.353782\pi\)
−0.745051 + 0.667008i \(0.767575\pi\)
\(938\) 21.8382 + 68.9002i 0.713042 + 2.24967i
\(939\) 36.9812 5.37907i 1.20684 0.175539i
\(940\) 4.01890 + 16.8068i 0.131082 + 0.548176i
\(941\) −1.77470 7.42167i −0.0578536 0.241939i 0.936101 0.351731i \(-0.114407\pi\)
−0.993955 + 0.109792i \(0.964982\pi\)
\(942\) −81.3501 + 53.0384i −2.65053 + 1.72808i
\(943\) 42.5692 7.77054i 1.38624 0.253044i
\(944\) −0.890555 16.4253i −0.0289851 0.534599i
\(945\) −6.29668 + 22.6786i −0.204831 + 0.737735i
\(946\) −8.28251 + 7.84561i −0.269288 + 0.255083i
\(947\) 16.5045 + 7.63582i 0.536326 + 0.248131i 0.669304 0.742988i \(-0.266592\pi\)
−0.132979 + 0.991119i \(0.542454\pi\)
\(948\) −15.5414 + 4.61884i −0.504762 + 0.150013i
\(949\) 7.11594 + 4.28152i 0.230993 + 0.138984i
\(950\) −70.4978 18.2093i −2.28725 0.590789i
\(951\) 15.4970 35.1478i 0.502524 1.13975i
\(952\) 27.3819 + 0.989199i 0.887454 + 0.0320601i
\(953\) 16.4807 + 33.9979i 0.533861 + 1.10130i 0.978625 + 0.205651i \(0.0659312\pi\)
−0.444764 + 0.895648i \(0.646712\pi\)
\(954\) −1.42177 1.00192i −0.0460315 0.0324384i
\(955\) −2.46391 + 1.87302i −0.0797304 + 0.0606094i
\(956\) −0.0453150 + 2.50954i −0.00146559 + 0.0811643i
\(957\) 40.6891 22.5224i 1.31529 0.728044i
\(958\) 1.57631 1.99768i 0.0509283 0.0645422i
\(959\) 10.2962 37.0836i 0.332482 1.19749i
\(960\) −10.3516 + 14.1402i −0.334098 + 0.456372i
\(961\) −8.38185 + 21.0368i −0.270382 + 0.678608i
\(962\) 6.95056 + 76.7833i 0.224095 + 2.47559i
\(963\) 0.686431 + 0.483729i 0.0221199 + 0.0155880i
\(964\) 18.9288 + 19.2737i 0.609657 + 0.620765i
\(965\) 4.13048 13.0318i 0.132965 0.419509i
\(966\) −17.9202 + 141.034i −0.576573 + 4.53769i
\(967\) −3.26334 + 60.1888i −0.104942 + 1.93554i 0.193472 + 0.981106i \(0.438025\pi\)
−0.298415 + 0.954436i \(0.596458\pi\)
\(968\) −8.89487 + 10.4719i −0.285892 + 0.336578i
\(969\) −1.77609 + 19.6206i −0.0570562 + 0.630305i
\(970\) −27.5029 13.9510i −0.883066 0.447938i
\(971\) −2.39246 6.69840i −0.0767778 0.214962i 0.897192 0.441642i \(-0.145604\pi\)
−0.973969 + 0.226680i \(0.927213\pi\)
\(972\) −5.86201 + 6.90129i −0.188024 + 0.221359i
\(973\) 6.43653 0.465660i 0.206346 0.0149284i
\(974\) 0.573937 0.916035i 0.0183901 0.0293517i
\(975\) −29.8395 24.4323i −0.955628 0.782461i
\(976\) −0.271171 0.102411i −0.00867999 0.00327810i
\(977\) 26.4432 + 6.83019i 0.845993 + 0.218517i 0.647956 0.761678i \(-0.275624\pi\)
0.198037 + 0.980195i \(0.436544\pi\)
\(978\) −18.7208 46.9857i −0.598625 1.50244i
\(979\) 38.9180 19.7413i 1.24382 0.630934i
\(980\) −34.5044 32.6843i −1.10220 1.04406i
\(981\) −1.23596 0.743652i −0.0394611 0.0237430i
\(982\) −11.6215 41.8569i −0.370857 1.33571i
\(983\) −1.22211 + 0.411778i −0.0389793 + 0.0131337i −0.338724 0.940886i \(-0.609995\pi\)
0.299744 + 0.954020i \(0.403099\pi\)
\(984\) −36.8001 + 30.1316i −1.17315 + 0.960562i
\(985\) −0.879526 6.92196i −0.0280240 0.220552i
\(986\) −1.65421 + 30.5102i −0.0526809 + 0.971641i
\(987\) 28.1358 + 9.48006i 0.895573 + 0.301754i
\(988\) 168.379 63.5904i 5.35685 2.02308i
\(989\) 12.6143 1.37189i 0.401112 0.0436236i
\(990\) 1.71531 0.124096i 0.0545161 0.00394404i
\(991\) −0.150069 1.18106i −0.00476711 0.0375176i 0.989463 0.144786i \(-0.0462494\pi\)
−0.994230 + 0.107268i \(0.965790\pi\)
\(992\) −4.35190 0.794393i −0.138173 0.0252220i
\(993\) −39.3828 + 27.7531i −1.24977 + 0.880718i
\(994\) −48.9226 57.5961i −1.55173 1.82684i
\(995\) 6.94537 5.27973i 0.220183 0.167379i
\(996\) 5.93742 + 29.5013i 0.188134 + 0.934785i
\(997\) −16.5739 + 0.598749i −0.524902 + 0.0189626i −0.297286 0.954788i \(-0.596081\pi\)
−0.227616 + 0.973751i \(0.573093\pi\)
\(998\) 76.0229 + 5.49998i 2.40646 + 0.174099i
\(999\) −1.48996 27.4806i −0.0471401 0.869449i
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 349.2.i.a.9.2 1568
349.194 even 87 inner 349.2.i.a.194.2 yes 1568
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
349.2.i.a.9.2 1568 1.1 even 1 trivial
349.2.i.a.194.2 yes 1568 349.194 even 87 inner