Properties

Label 882.2.bb.b.151.9
Level $882$
Weight $2$
Character 882.151
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [882,2,Mod(25,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([28, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.25");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.bb (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.9
Character \(\chi\) \(=\) 882.151
Dual form 882.2.bb.b.625.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.900969 - 0.433884i) q^{2} +(-1.04479 - 1.38145i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.438595 + 0.406957i) q^{5} +(-1.54071 - 0.791327i) q^{6} +(-1.22363 + 2.34579i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.816818 + 2.88666i) q^{9} +O(q^{10})\) \(q+(0.900969 - 0.433884i) q^{2} +(-1.04479 - 1.38145i) q^{3} +(0.623490 - 0.781831i) q^{4} +(0.438595 + 0.406957i) q^{5} +(-1.54071 - 0.791327i) q^{6} +(-1.22363 + 2.34579i) q^{7} +(0.222521 - 0.974928i) q^{8} +(-0.816818 + 2.88666i) q^{9} +(0.571733 + 0.176356i) q^{10} +(4.19435 + 2.85966i) q^{11} +(-1.73148 - 0.0444697i) q^{12} +(2.55708 + 1.74339i) q^{13} +(-0.0846505 + 2.64440i) q^{14} +(0.103951 - 1.03108i) q^{15} +(-0.222521 - 0.974928i) q^{16} +(-0.957794 + 0.144364i) q^{17} +(0.516547 + 2.95520i) q^{18} +(1.89839 + 3.28811i) q^{19} +(0.591632 - 0.0891741i) q^{20} +(4.51903 - 0.760480i) q^{21} +(5.01974 + 0.756605i) q^{22} +(0.500567 + 1.27542i) q^{23} +(-1.57930 + 0.711195i) q^{24} +(-0.346899 - 4.62904i) q^{25} +(3.06028 + 0.461262i) q^{26} +(4.84119 - 1.88756i) q^{27} +(1.07109 + 2.41925i) q^{28} +(5.33020 - 0.803398i) q^{29} +(-0.353714 - 0.974077i) q^{30} -4.97462 q^{31} +(-0.623490 - 0.781831i) q^{32} +(-0.431743 - 8.78205i) q^{33} +(-0.800305 + 0.545639i) q^{34} +(-1.49131 + 0.530889i) q^{35} +(1.74760 + 2.43842i) q^{36} +(0.0131324 - 0.0334608i) q^{37} +(3.13705 + 2.13880i) q^{38} +(-0.263211 - 5.35396i) q^{39} +(0.494351 - 0.337042i) q^{40} +(-6.06757 + 1.87160i) q^{41} +(3.74155 - 2.64590i) q^{42} +(6.72505 + 2.07440i) q^{43} +(4.85091 - 1.49631i) q^{44} +(-1.53300 + 0.933666i) q^{45} +(1.00438 + 0.931929i) q^{46} +(2.40441 - 1.15790i) q^{47} +(-1.11433 + 1.32600i) q^{48} +(-4.00547 - 5.74075i) q^{49} +(-2.32101 - 4.02011i) q^{50} +(1.20013 + 1.17232i) q^{51} +(2.95735 - 0.912221i) q^{52} +(1.91931 + 4.89033i) q^{53} +(3.54278 - 3.80115i) q^{54} +(0.675865 + 2.96116i) q^{55} +(2.01469 + 1.71494i) q^{56} +(2.55894 - 6.05792i) q^{57} +(4.45376 - 3.03652i) q^{58} +(-1.12856 - 4.94456i) q^{59} +(-0.741322 - 0.724142i) q^{60} +(-4.89323 - 6.13591i) q^{61} +(-4.48198 + 2.15841i) q^{62} +(-5.77202 - 5.44828i) q^{63} +(-0.900969 - 0.433884i) q^{64} +(0.412040 + 1.80526i) q^{65} +(-4.19938 - 7.72503i) q^{66} +14.8321 q^{67} +(-0.484306 + 0.838843i) q^{68} +(1.23895 - 2.02406i) q^{69} +(-1.11328 + 1.12537i) q^{70} +(-7.34678 + 9.21257i) q^{71} +(2.63253 + 1.43868i) q^{72} +(-5.86835 + 4.00098i) q^{73} +(-0.00268621 - 0.0358450i) q^{74} +(-6.03236 + 5.31561i) q^{75} +(3.75437 + 0.565881i) q^{76} +(-11.8405 + 6.33991i) q^{77} +(-2.56014 - 4.70955i) q^{78} +6.25925 q^{79} +(0.299157 - 0.518155i) q^{80} +(-7.66562 - 4.71576i) q^{81} +(-4.65464 + 4.31887i) q^{82} +(1.05484 - 0.719180i) q^{83} +(2.22300 - 4.00727i) q^{84} +(-0.478834 - 0.326463i) q^{85} +(6.95911 - 1.04892i) q^{86} +(-6.67881 - 6.52403i) q^{87} +(3.72130 - 3.45286i) q^{88} +(0.133756 + 1.78485i) q^{89} +(-0.976083 + 1.50635i) q^{90} +(-7.21854 + 3.86512i) q^{91} +(1.30926 + 0.403855i) q^{92} +(5.19745 + 6.87220i) q^{93} +(1.66390 - 2.08646i) q^{94} +(-0.505494 + 2.21471i) q^{95} +(-0.428645 + 1.67817i) q^{96} +(4.87541 - 8.44447i) q^{97} +(-6.09962 - 3.43433i) q^{98} +(-11.6809 + 9.77185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 56 q^{2} + 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} + 2 q^{7} + 56 q^{8} + 5 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q + 56 q^{2} + 5 q^{3} - 56 q^{4} + 2 q^{5} - 5 q^{6} + 2 q^{7} + 56 q^{8} + 5 q^{9} - 2 q^{10} - 2 q^{12} + 19 q^{13} - 2 q^{14} + q^{15} - 56 q^{16} + 7 q^{17} + 2 q^{18} + 38 q^{19} + 2 q^{20} + 4 q^{21} - 42 q^{23} + 2 q^{24} + 24 q^{25} + 9 q^{26} + 35 q^{27} + 2 q^{28} - 10 q^{29} - q^{30} - 88 q^{31} + 56 q^{32} + 26 q^{33} - 7 q^{34} - 2 q^{35} + 5 q^{36} + 52 q^{37} + 11 q^{38} - 60 q^{39} - 2 q^{40} + 3 q^{41} - 53 q^{42} + q^{43} + 108 q^{45} - 42 q^{46} + 3 q^{47} - 2 q^{48} + 70 q^{49} + 172 q^{50} + 13 q^{51} + 5 q^{52} - 78 q^{53} + 14 q^{54} + 23 q^{55} - 2 q^{56} - 30 q^{57} + 38 q^{58} - 28 q^{59} + q^{60} - 37 q^{61} - 24 q^{62} + 26 q^{63} - 56 q^{64} - 14 q^{65} + 2 q^{66} - 58 q^{67} - 21 q^{68} + 19 q^{69} + 44 q^{70} + 7 q^{71} + 2 q^{72} - 8 q^{73} + 4 q^{74} + q^{75} - 4 q^{76} - 13 q^{77} + 4 q^{78} + 18 q^{79} - 12 q^{80} - 87 q^{81} - 3 q^{82} + 185 q^{83} - 17 q^{84} - 159 q^{85} - q^{86} - 132 q^{87} + 47 q^{89} + 60 q^{90} + 45 q^{91} - 21 q^{92} + 53 q^{93} + 18 q^{94} + 26 q^{95} + 2 q^{96} + 111 q^{97} - 14 q^{98} - 157 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.900969 0.433884i 0.637081 0.306802i
\(3\) −1.04479 1.38145i −0.603211 0.797582i
\(4\) 0.623490 0.781831i 0.311745 0.390916i
\(5\) 0.438595 + 0.406957i 0.196146 + 0.181997i 0.772131 0.635463i \(-0.219191\pi\)
−0.575985 + 0.817460i \(0.695381\pi\)
\(6\) −1.54071 0.791327i −0.628994 0.323058i
\(7\) −1.22363 + 2.34579i −0.462488 + 0.886626i
\(8\) 0.222521 0.974928i 0.0786730 0.344689i
\(9\) −0.816818 + 2.88666i −0.272273 + 0.962220i
\(10\) 0.571733 + 0.176356i 0.180798 + 0.0557687i
\(11\) 4.19435 + 2.85966i 1.26465 + 0.862221i 0.994915 0.100715i \(-0.0321131\pi\)
0.269730 + 0.962936i \(0.413066\pi\)
\(12\) −1.73148 0.0444697i −0.499835 0.0128373i
\(13\) 2.55708 + 1.74339i 0.709206 + 0.483529i 0.863405 0.504511i \(-0.168327\pi\)
−0.154199 + 0.988040i \(0.549280\pi\)
\(14\) −0.0846505 + 2.64440i −0.0226238 + 0.706745i
\(15\) 0.103951 1.03108i 0.0268399 0.266225i
\(16\) −0.222521 0.974928i −0.0556302 0.243732i
\(17\) −0.957794 + 0.144364i −0.232299 + 0.0350135i −0.264160 0.964479i \(-0.585095\pi\)
0.0318610 + 0.999492i \(0.489857\pi\)
\(18\) 0.516547 + 2.95520i 0.121751 + 0.696546i
\(19\) 1.89839 + 3.28811i 0.435520 + 0.754344i 0.997338 0.0729176i \(-0.0232310\pi\)
−0.561817 + 0.827261i \(0.689898\pi\)
\(20\) 0.591632 0.0891741i 0.132293 0.0199399i
\(21\) 4.51903 0.760480i 0.986134 0.165950i
\(22\) 5.01974 + 0.756605i 1.07021 + 0.161309i
\(23\) 0.500567 + 1.27542i 0.104375 + 0.265944i 0.973515 0.228622i \(-0.0734221\pi\)
−0.869140 + 0.494566i \(0.835327\pi\)
\(24\) −1.57930 + 0.711195i −0.322374 + 0.145172i
\(25\) −0.346899 4.62904i −0.0693797 0.925808i
\(26\) 3.06028 + 0.461262i 0.600170 + 0.0904610i
\(27\) 4.84119 1.88756i 0.931687 0.363262i
\(28\) 1.07109 + 2.41925i 0.202418 + 0.457195i
\(29\) 5.33020 0.803398i 0.989793 0.149187i 0.365864 0.930668i \(-0.380773\pi\)
0.623929 + 0.781481i \(0.285535\pi\)
\(30\) −0.353714 0.974077i −0.0645791 0.177841i
\(31\) −4.97462 −0.893469 −0.446734 0.894667i \(-0.647413\pi\)
−0.446734 + 0.894667i \(0.647413\pi\)
\(32\) −0.623490 0.781831i −0.110218 0.138210i
\(33\) −0.431743 8.78205i −0.0751568 1.52876i
\(34\) −0.800305 + 0.545639i −0.137251 + 0.0935763i
\(35\) −1.49131 + 0.530889i −0.252078 + 0.0897366i
\(36\) 1.74760 + 2.43842i 0.291267 + 0.406403i
\(37\) 0.0131324 0.0334608i 0.00215895 0.00550092i −0.929790 0.368090i \(-0.880012\pi\)
0.931949 + 0.362589i \(0.118107\pi\)
\(38\) 3.13705 + 2.13880i 0.508896 + 0.346960i
\(39\) −0.263211 5.35396i −0.0421475 0.857320i
\(40\) 0.494351 0.337042i 0.0781637 0.0532911i
\(41\) −6.06757 + 1.87160i −0.947595 + 0.292294i −0.729770 0.683693i \(-0.760373\pi\)
−0.217826 + 0.975988i \(0.569896\pi\)
\(42\) 3.74155 2.64590i 0.577334 0.408272i
\(43\) 6.72505 + 2.07440i 1.02556 + 0.316343i 0.761501 0.648163i \(-0.224463\pi\)
0.264059 + 0.964507i \(0.414939\pi\)
\(44\) 4.85091 1.49631i 0.731302 0.225577i
\(45\) −1.53300 + 0.933666i −0.228526 + 0.139183i
\(46\) 1.00438 + 0.931929i 0.148088 + 0.137405i
\(47\) 2.40441 1.15790i 0.350719 0.168897i −0.250227 0.968187i \(-0.580505\pi\)
0.600945 + 0.799290i \(0.294791\pi\)
\(48\) −1.11433 + 1.32600i −0.160839 + 0.191391i
\(49\) −4.00547 5.74075i −0.572210 0.820107i
\(50\) −2.32101 4.02011i −0.328240 0.568529i
\(51\) 1.20013 + 1.17232i 0.168051 + 0.164157i
\(52\) 2.95735 0.912221i 0.410110 0.126502i
\(53\) 1.91931 + 4.89033i 0.263638 + 0.671738i 0.999988 0.00486233i \(-0.00154774\pi\)
−0.736350 + 0.676600i \(0.763452\pi\)
\(54\) 3.54278 3.80115i 0.482111 0.517271i
\(55\) 0.675865 + 2.96116i 0.0911336 + 0.399282i
\(56\) 2.01469 + 1.71494i 0.269225 + 0.229168i
\(57\) 2.55894 6.05792i 0.338940 0.802392i
\(58\) 4.45376 3.03652i 0.584808 0.398715i
\(59\) −1.12856 4.94456i −0.146926 0.643727i −0.993729 0.111819i \(-0.964332\pi\)
0.846802 0.531908i \(-0.178525\pi\)
\(60\) −0.741322 0.724142i −0.0957042 0.0934864i
\(61\) −4.89323 6.13591i −0.626514 0.785623i 0.362731 0.931894i \(-0.381844\pi\)
−0.989245 + 0.146271i \(0.953273\pi\)
\(62\) −4.48198 + 2.15841i −0.569212 + 0.274118i
\(63\) −5.77202 5.44828i −0.727206 0.686419i
\(64\) −0.900969 0.433884i −0.112621 0.0542355i
\(65\) 0.412040 + 1.80526i 0.0511072 + 0.223915i
\(66\) −4.19938 7.72503i −0.516907 0.950885i
\(67\) 14.8321 1.81203 0.906017 0.423242i \(-0.139108\pi\)
0.906017 + 0.423242i \(0.139108\pi\)
\(68\) −0.484306 + 0.838843i −0.0587307 + 0.101725i
\(69\) 1.23895 2.02406i 0.149152 0.243668i
\(70\) −1.11328 + 1.12537i −0.133063 + 0.134508i
\(71\) −7.34678 + 9.21257i −0.871902 + 1.09333i 0.122992 + 0.992408i \(0.460751\pi\)
−0.994894 + 0.100923i \(0.967820\pi\)
\(72\) 2.63253 + 1.43868i 0.310246 + 0.169550i
\(73\) −5.86835 + 4.00098i −0.686839 + 0.468279i −0.855775 0.517348i \(-0.826919\pi\)
0.168936 + 0.985627i \(0.445967\pi\)
\(74\) −0.00268621 0.0358450i −0.000312266 0.00416690i
\(75\) −6.03236 + 5.31561i −0.696557 + 0.613794i
\(76\) 3.75437 + 0.565881i 0.430656 + 0.0649110i
\(77\) −11.8405 + 6.33991i −1.34935 + 0.722500i
\(78\) −2.56014 4.70955i −0.289879 0.533251i
\(79\) 6.25925 0.704221 0.352110 0.935958i \(-0.385464\pi\)
0.352110 + 0.935958i \(0.385464\pi\)
\(80\) 0.299157 0.518155i 0.0334468 0.0579315i
\(81\) −7.66562 4.71576i −0.851735 0.523973i
\(82\) −4.65464 + 4.31887i −0.514019 + 0.476940i
\(83\) 1.05484 0.719180i 0.115784 0.0789402i −0.504044 0.863678i \(-0.668155\pi\)
0.619828 + 0.784738i \(0.287203\pi\)
\(84\) 2.22300 4.00727i 0.242550 0.437230i
\(85\) −0.478834 0.326463i −0.0519368 0.0354099i
\(86\) 6.95911 1.04892i 0.750420 0.113108i
\(87\) −6.67881 6.52403i −0.716043 0.699450i
\(88\) 3.72130 3.45286i 0.396692 0.368076i
\(89\) 0.133756 + 1.78485i 0.0141781 + 0.189194i 0.999796 + 0.0202040i \(0.00643158\pi\)
−0.985618 + 0.168990i \(0.945949\pi\)
\(90\) −0.976083 + 1.50635i −0.102888 + 0.158783i
\(91\) −7.21854 + 3.86512i −0.756708 + 0.405174i
\(92\) 1.30926 + 0.403855i 0.136500 + 0.0421047i
\(93\) 5.19745 + 6.87220i 0.538950 + 0.712614i
\(94\) 1.66390 2.08646i 0.171618 0.215202i
\(95\) −0.505494 + 2.21471i −0.0518625 + 0.227225i
\(96\) −0.428645 + 1.67817i −0.0437484 + 0.171278i
\(97\) 4.87541 8.44447i 0.495023 0.857406i −0.504960 0.863143i \(-0.668493\pi\)
0.999984 + 0.00573700i \(0.00182615\pi\)
\(98\) −6.09962 3.43433i −0.616155 0.346920i
\(99\) −11.6809 + 9.77185i −1.17397 + 0.982108i
\(100\) −3.83542 2.61494i −0.383542 0.261494i
\(101\) 3.66635 1.13092i 0.364815 0.112531i −0.106928 0.994267i \(-0.534101\pi\)
0.471743 + 0.881736i \(0.343625\pi\)
\(102\) 1.58993 + 0.535504i 0.157426 + 0.0530228i
\(103\) 12.5571 + 11.6513i 1.23729 + 1.14804i 0.983525 + 0.180771i \(0.0578592\pi\)
0.253764 + 0.967266i \(0.418331\pi\)
\(104\) 2.26868 2.10503i 0.222462 0.206415i
\(105\) 2.29151 + 1.50551i 0.223629 + 0.146923i
\(106\) 3.85107 + 3.57327i 0.374049 + 0.347067i
\(107\) 1.27134 + 16.9648i 0.122905 + 1.64005i 0.628880 + 0.777502i \(0.283514\pi\)
−0.505975 + 0.862548i \(0.668867\pi\)
\(108\) 1.54267 4.96187i 0.148444 0.477456i
\(109\) 1.50906 20.1371i 0.144542 1.92878i −0.181436 0.983403i \(-0.558075\pi\)
0.325978 0.945377i \(-0.394306\pi\)
\(110\) 1.89373 + 2.37466i 0.180560 + 0.226415i
\(111\) −0.0599450 + 0.0168178i −0.00568973 + 0.00159627i
\(112\) 2.55926 + 0.670962i 0.241827 + 0.0633999i
\(113\) 0.101009 + 1.34787i 0.00950211 + 0.126797i 0.999937 0.0111805i \(-0.00355894\pi\)
−0.990435 + 0.137977i \(0.955940\pi\)
\(114\) −0.322910 6.56828i −0.0302433 0.615176i
\(115\) −0.299496 + 0.763104i −0.0279282 + 0.0711598i
\(116\) 2.69520 4.66823i 0.250243 0.433434i
\(117\) −7.12124 + 5.95739i −0.658359 + 0.550761i
\(118\) −3.16216 3.96523i −0.291101 0.365029i
\(119\) 0.833335 2.42343i 0.0763917 0.222156i
\(120\) −0.982102 0.330782i −0.0896532 0.0301961i
\(121\) 5.39619 + 13.7493i 0.490563 + 1.24993i
\(122\) −7.07092 3.40518i −0.640171 0.308290i
\(123\) 8.92487 + 6.42663i 0.804729 + 0.579469i
\(124\) −3.10163 + 3.88932i −0.278534 + 0.349271i
\(125\) 3.59689 4.51035i 0.321715 0.403418i
\(126\) −7.56433 2.40435i −0.673884 0.214196i
\(127\) 2.32932 + 2.92088i 0.206694 + 0.259186i 0.874363 0.485272i \(-0.161279\pi\)
−0.667669 + 0.744458i \(0.732708\pi\)
\(128\) −1.00000 −0.0883883
\(129\) −4.16059 11.4576i −0.366319 1.00879i
\(130\) 1.15451 + 1.44771i 0.101257 + 0.126972i
\(131\) −13.7953 4.25529i −1.20530 0.371786i −0.373905 0.927467i \(-0.621981\pi\)
−0.831396 + 0.555681i \(0.812458\pi\)
\(132\) −7.13527 5.13797i −0.621046 0.447203i
\(133\) −10.0361 + 0.429804i −0.870243 + 0.0372687i
\(134\) 13.3633 6.43542i 1.15441 0.555936i
\(135\) 2.89148 + 1.14228i 0.248859 + 0.0983117i
\(136\) −0.0723845 + 0.965904i −0.00620692 + 0.0828256i
\(137\) 3.53069 3.27601i 0.301648 0.279888i −0.514797 0.857312i \(-0.672133\pi\)
0.816444 + 0.577424i \(0.195942\pi\)
\(138\) 0.238046 2.36118i 0.0202638 0.200997i
\(139\) −0.635903 + 0.196150i −0.0539366 + 0.0166372i −0.321606 0.946874i \(-0.604223\pi\)
0.267669 + 0.963511i \(0.413746\pi\)
\(140\) −0.514753 + 1.49696i −0.0435046 + 0.126516i
\(141\) −4.11169 2.11180i −0.346267 0.177846i
\(142\) −2.62203 + 11.4879i −0.220036 + 0.964042i
\(143\) 5.73980 + 14.6248i 0.479986 + 1.22298i
\(144\) 2.99604 + 0.153997i 0.249670 + 0.0128331i
\(145\) 2.66475 + 1.81680i 0.221295 + 0.150877i
\(146\) −3.55125 + 6.15094i −0.293903 + 0.509055i
\(147\) −3.74569 + 11.5313i −0.308939 + 0.951082i
\(148\) −0.0179728 0.0311298i −0.00147735 0.00255885i
\(149\) −0.888408 + 11.8550i −0.0727812 + 0.971198i 0.834591 + 0.550870i \(0.185704\pi\)
−0.907372 + 0.420328i \(0.861915\pi\)
\(150\) −3.12861 + 7.40654i −0.255450 + 0.604741i
\(151\) −16.6199 2.50505i −1.35251 0.203858i −0.567517 0.823361i \(-0.692096\pi\)
−0.784994 + 0.619503i \(0.787334\pi\)
\(152\) 3.62810 1.11912i 0.294278 0.0907727i
\(153\) 0.365613 2.88274i 0.0295581 0.233056i
\(154\) −7.91714 + 10.8495i −0.637981 + 0.874275i
\(155\) −2.18185 2.02446i −0.175250 0.162608i
\(156\) −4.35000 3.13235i −0.348279 0.250789i
\(157\) −4.76890 20.8939i −0.380600 1.66752i −0.695604 0.718426i \(-0.744863\pi\)
0.315004 0.949090i \(-0.397994\pi\)
\(158\) 5.63939 2.71579i 0.448646 0.216056i
\(159\) 4.75047 7.76081i 0.376737 0.615472i
\(160\) 0.0447121 0.596641i 0.00353480 0.0471686i
\(161\) −3.60438 0.386419i −0.284065 0.0304541i
\(162\) −8.95257 0.922763i −0.703380 0.0724991i
\(163\) −3.35095 + 3.10923i −0.262467 + 0.243534i −0.800418 0.599442i \(-0.795389\pi\)
0.537951 + 0.842976i \(0.319199\pi\)
\(164\) −2.31979 + 5.91074i −0.181146 + 0.461551i
\(165\) 3.38456 4.02747i 0.263487 0.313538i
\(166\) 0.638340 1.10564i 0.0495448 0.0858141i
\(167\) −1.45145 + 3.69823i −0.112316 + 0.286178i −0.975969 0.217910i \(-0.930076\pi\)
0.863652 + 0.504088i \(0.168171\pi\)
\(168\) 0.264166 4.57496i 0.0203809 0.352965i
\(169\) −1.25018 3.18540i −0.0961674 0.245031i
\(170\) −0.573062 0.0863752i −0.0439518 0.00662467i
\(171\) −11.0423 + 2.79422i −0.844425 + 0.213679i
\(172\) 5.81483 3.96448i 0.443377 0.302289i
\(173\) −9.29399 + 11.6543i −0.706609 + 0.886060i −0.997498 0.0706969i \(-0.977478\pi\)
0.290889 + 0.956757i \(0.406049\pi\)
\(174\) −8.84807 2.98012i −0.670770 0.225923i
\(175\) 11.2832 + 4.85047i 0.852932 + 0.366661i
\(176\) 1.85463 4.72553i 0.139798 0.356200i
\(177\) −5.65156 + 6.72509i −0.424797 + 0.505489i
\(178\) 0.894930 + 1.55006i 0.0670778 + 0.116182i
\(179\) −10.8182 + 1.63059i −0.808593 + 0.121876i −0.540312 0.841465i \(-0.681694\pi\)
−0.268281 + 0.963341i \(0.586456\pi\)
\(180\) −0.225840 + 1.78068i −0.0168331 + 0.132724i
\(181\) 2.40920 + 1.16021i 0.179075 + 0.0862378i 0.521273 0.853390i \(-0.325457\pi\)
−0.342199 + 0.939628i \(0.611172\pi\)
\(182\) −4.82667 + 6.61435i −0.357776 + 0.490289i
\(183\) −3.36406 + 13.1705i −0.248679 + 0.973592i
\(184\) 1.35483 0.204208i 0.0998796 0.0150544i
\(185\) 0.0193769 0.00933142i 0.00142462 0.000686060i
\(186\) 7.66448 + 3.93655i 0.561987 + 0.288642i
\(187\) −4.43016 2.13345i −0.323965 0.156013i
\(188\) 0.593839 2.60178i 0.0433102 0.189754i
\(189\) −1.49598 + 13.6661i −0.108817 + 0.994062i
\(190\) 0.505494 + 2.21471i 0.0366724 + 0.160672i
\(191\) −1.68932 + 7.40139i −0.122235 + 0.535546i 0.876316 + 0.481736i \(0.159994\pi\)
−0.998551 + 0.0538097i \(0.982864\pi\)
\(192\) 0.341936 + 1.69796i 0.0246771 + 0.122540i
\(193\) 2.94589 12.9068i 0.212050 0.929052i −0.751121 0.660164i \(-0.770487\pi\)
0.963171 0.268888i \(-0.0866561\pi\)
\(194\) 0.728680 9.72356i 0.0523162 0.698111i
\(195\) 2.06339 2.45534i 0.147762 0.175830i
\(196\) −6.98567 0.447699i −0.498976 0.0319785i
\(197\) −18.8335 −1.34183 −0.670914 0.741535i \(-0.734098\pi\)
−0.670914 + 0.741535i \(0.734098\pi\)
\(198\) −6.28428 + 13.8723i −0.446604 + 0.985860i
\(199\) −10.7086 9.93616i −0.759115 0.704356i 0.202341 0.979315i \(-0.435145\pi\)
−0.961456 + 0.274959i \(0.911336\pi\)
\(200\) −4.59017 0.691857i −0.324574 0.0489217i
\(201\) −15.4965 20.4899i −1.09304 1.44524i
\(202\) 2.81258 2.60969i 0.197892 0.183617i
\(203\) −4.63758 + 13.4866i −0.325494 + 0.946573i
\(204\) 1.66482 0.207371i 0.116561 0.0145189i
\(205\) −3.42287 1.64837i −0.239064 0.115127i
\(206\) 16.3689 + 5.04913i 1.14047 + 0.351790i
\(207\) −4.09059 + 0.403177i −0.284315 + 0.0280227i
\(208\) 1.13067 2.88091i 0.0783981 0.199755i
\(209\) −1.44036 + 19.2202i −0.0996316 + 1.32949i
\(210\) 2.71780 + 0.362168i 0.187546 + 0.0249920i
\(211\) −1.03747 13.8440i −0.0714222 0.953064i −0.911687 0.410886i \(-0.865219\pi\)
0.840264 0.542177i \(-0.182400\pi\)
\(212\) 5.02008 + 1.54849i 0.344781 + 0.106351i
\(213\) 20.4026 + 0.524001i 1.39796 + 0.0359039i
\(214\) 8.50619 + 14.7332i 0.581471 + 1.00714i
\(215\) 2.10538 + 3.64663i 0.143586 + 0.248698i
\(216\) −0.762974 5.13983i −0.0519138 0.349721i
\(217\) 6.08709 11.6694i 0.413219 0.792172i
\(218\) −7.37752 18.7976i −0.499669 1.27314i
\(219\) 11.6584 + 3.92666i 0.787799 + 0.265339i
\(220\) 2.73652 + 1.31784i 0.184496 + 0.0888487i
\(221\) −2.70084 1.30065i −0.181678 0.0874915i
\(222\) −0.0467117 + 0.0411615i −0.00313508 + 0.00276258i
\(223\) −6.18073 15.7482i −0.413892 1.05458i −0.974078 0.226213i \(-0.927366\pi\)
0.560186 0.828367i \(-0.310730\pi\)
\(224\) 2.59693 0.505905i 0.173515 0.0338022i
\(225\) 13.6458 + 2.77971i 0.909721 + 0.185314i
\(226\) 0.675824 + 1.17056i 0.0449551 + 0.0778646i
\(227\) −5.85316 10.1380i −0.388488 0.672881i 0.603758 0.797167i \(-0.293669\pi\)
−0.992246 + 0.124286i \(0.960336\pi\)
\(228\) −3.14080 5.77771i −0.208005 0.382638i
\(229\) −10.9103 3.36537i −0.720971 0.222390i −0.0875090 0.996164i \(-0.527891\pi\)
−0.633462 + 0.773774i \(0.718367\pi\)
\(230\) 0.0612616 + 0.817480i 0.00403947 + 0.0539030i
\(231\) 21.1291 + 9.73319i 1.39020 + 0.640397i
\(232\) 0.402826 5.37533i 0.0264468 0.352908i
\(233\) 7.41692 18.8980i 0.485899 1.23805i −0.452273 0.891880i \(-0.649387\pi\)
0.938172 0.346170i \(-0.112518\pi\)
\(234\) −3.83120 + 8.45721i −0.250453 + 0.552865i
\(235\) 1.52578 + 0.470640i 0.0995307 + 0.0307012i
\(236\) −4.56946 2.20054i −0.297446 0.143243i
\(237\) −6.53962 8.64685i −0.424794 0.561674i
\(238\) −0.300678 2.54501i −0.0194901 0.164968i
\(239\) 6.38229 5.92190i 0.412836 0.383056i −0.446232 0.894917i \(-0.647234\pi\)
0.859068 + 0.511861i \(0.171044\pi\)
\(240\) −1.02836 + 0.128094i −0.0663806 + 0.00826840i
\(241\) 8.26233 + 1.24535i 0.532223 + 0.0802198i 0.409655 0.912240i \(-0.365649\pi\)
0.122568 + 0.992460i \(0.460887\pi\)
\(242\) 10.8274 + 10.0463i 0.696010 + 0.645803i
\(243\) 1.49439 + 15.5167i 0.0958649 + 0.995394i
\(244\) −7.84813 −0.502425
\(245\) 0.579460 4.14792i 0.0370203 0.265001i
\(246\) 10.8294 + 1.91783i 0.690460 + 0.122277i
\(247\) −0.878111 + 11.7176i −0.0558729 + 0.745572i
\(248\) −1.10696 + 4.84990i −0.0702919 + 0.307969i
\(249\) −2.09560 0.705821i −0.132803 0.0447296i
\(250\) 1.28371 5.62432i 0.0811892 0.355713i
\(251\) −4.90042 21.4701i −0.309312 1.35518i −0.855622 0.517600i \(-0.826825\pi\)
0.546311 0.837583i \(-0.316032\pi\)
\(252\) −7.85843 + 1.11580i −0.495035 + 0.0702886i
\(253\) −1.54773 + 6.78103i −0.0973047 + 0.426320i
\(254\) 3.36597 + 1.62097i 0.211200 + 0.101708i
\(255\) 0.0492884 + 1.00257i 0.00308656 + 0.0627835i
\(256\) −0.900969 + 0.433884i −0.0563106 + 0.0271177i
\(257\) −20.8465 + 3.14210i −1.30037 + 0.195999i −0.762476 0.647016i \(-0.776017\pi\)
−0.537890 + 0.843015i \(0.680778\pi\)
\(258\) −8.71985 8.51777i −0.542874 0.530293i
\(259\) 0.0624228 + 0.0717494i 0.00387876 + 0.00445829i
\(260\) 1.66831 + 0.803418i 0.103464 + 0.0498259i
\(261\) −2.03467 + 16.0427i −0.125943 + 0.993019i
\(262\) −14.2754 + 2.15168i −0.881939 + 0.132931i
\(263\) 7.87764 + 13.6445i 0.485756 + 0.841355i 0.999866 0.0163699i \(-0.00521092\pi\)
−0.514110 + 0.857724i \(0.671878\pi\)
\(264\) −8.65794 1.53327i −0.532859 0.0943664i
\(265\) −1.14835 + 2.92595i −0.0705427 + 0.179740i
\(266\) −8.85576 + 4.74176i −0.542982 + 0.290736i
\(267\) 2.32594 2.04958i 0.142345 0.125432i
\(268\) 9.24768 11.5962i 0.564892 0.708352i
\(269\) −18.5156 + 12.6237i −1.12892 + 0.769682i −0.975830 0.218531i \(-0.929874\pi\)
−0.153086 + 0.988213i \(0.548921\pi\)
\(270\) 3.10075 0.225409i 0.188706 0.0137180i
\(271\) 28.9729 + 4.36696i 1.75998 + 0.265274i 0.947967 0.318368i \(-0.103135\pi\)
0.812011 + 0.583642i \(0.198373\pi\)
\(272\) 0.353874 + 0.901656i 0.0214568 + 0.0546709i
\(273\) 12.8813 + 5.93382i 0.779614 + 0.359131i
\(274\) 1.75964 4.48349i 0.106304 0.270857i
\(275\) 11.7825 20.4078i 0.710510 1.23064i
\(276\) −0.810004 2.23063i −0.0487565 0.134268i
\(277\) 3.26597 8.32156i 0.196233 0.499994i −0.798559 0.601916i \(-0.794404\pi\)
0.994792 + 0.101922i \(0.0324993\pi\)
\(278\) −0.487823 + 0.452633i −0.0292577 + 0.0271471i
\(279\) 4.06337 14.3601i 0.243267 0.859714i
\(280\) 0.185730 + 1.57206i 0.0110995 + 0.0939484i
\(281\) 1.67715 22.3800i 0.100050 1.33508i −0.690790 0.723055i \(-0.742737\pi\)
0.790841 0.612022i \(-0.209644\pi\)
\(282\) −4.62078 0.118676i −0.275163 0.00706704i
\(283\) 13.9501 6.71801i 0.829247 0.399344i 0.0294145 0.999567i \(-0.490636\pi\)
0.799833 + 0.600223i \(0.204921\pi\)
\(284\) 2.62203 + 11.4879i 0.155589 + 0.681681i
\(285\) 3.58765 1.61560i 0.212514 0.0956998i
\(286\) 11.5168 + 10.6861i 0.681004 + 0.631880i
\(287\) 3.03407 16.5234i 0.179096 0.975345i
\(288\) 2.76616 1.16119i 0.162998 0.0684237i
\(289\) −15.3482 + 4.73430i −0.902836 + 0.278488i
\(290\) 3.18914 + 0.480685i 0.187272 + 0.0282268i
\(291\) −16.7594 + 2.08756i −0.982455 + 0.122375i
\(292\) −0.530770 + 7.08263i −0.0310610 + 0.414480i
\(293\) 11.4029 + 19.7504i 0.666166 + 1.15383i 0.978968 + 0.204014i \(0.0653989\pi\)
−0.312802 + 0.949818i \(0.601268\pi\)
\(294\) 1.62847 + 12.0145i 0.0949745 + 0.700700i
\(295\) 1.51724 2.62794i 0.0883372 0.153004i
\(296\) −0.0296996 0.0202488i −0.00172625 0.00117694i
\(297\) 25.7035 + 5.92705i 1.49147 + 0.343922i
\(298\) 4.34326 + 11.0664i 0.251598 + 0.641061i
\(299\) −0.943568 + 4.13404i −0.0545679 + 0.239078i
\(300\) 0.394796 + 8.03052i 0.0227935 + 0.463642i
\(301\) −13.0951 + 13.2373i −0.754787 + 0.762983i
\(302\) −16.0609 + 4.95415i −0.924204 + 0.285079i
\(303\) −5.39288 3.88331i −0.309813 0.223090i
\(304\) 2.78324 2.58247i 0.159630 0.148115i
\(305\) 0.350906 4.68252i 0.0200928 0.268120i
\(306\) −0.921370 2.75590i −0.0526712 0.157544i
\(307\) −8.09760 + 3.89960i −0.462154 + 0.222562i −0.650448 0.759551i \(-0.725419\pi\)
0.188293 + 0.982113i \(0.439704\pi\)
\(308\) −2.42569 + 13.2101i −0.138216 + 0.752718i
\(309\) 2.97613 29.5202i 0.169306 1.67935i
\(310\) −2.84416 0.877306i −0.161537 0.0498276i
\(311\) −4.51940 5.66715i −0.256272 0.321354i 0.637007 0.770858i \(-0.280172\pi\)
−0.893278 + 0.449504i \(0.851601\pi\)
\(312\) −5.27829 0.934756i −0.298825 0.0529202i
\(313\) 18.4744 1.04423 0.522117 0.852874i \(-0.325142\pi\)
0.522117 + 0.852874i \(0.325142\pi\)
\(314\) −13.3622 16.7556i −0.754070 0.945574i
\(315\) −0.314363 4.73856i −0.0177124 0.266987i
\(316\) 3.90258 4.89368i 0.219537 0.275291i
\(317\) 17.1344 21.4858i 0.962362 1.20676i −0.0160014 0.999872i \(-0.505094\pi\)
0.978364 0.206892i \(-0.0663349\pi\)
\(318\) 0.912734 9.05340i 0.0511836 0.507690i
\(319\) 24.6542 + 11.8728i 1.38037 + 0.664751i
\(320\) −0.218589 0.556955i −0.0122195 0.0311347i
\(321\) 22.1078 19.4810i 1.23394 1.08732i
\(322\) −3.41510 + 1.21573i −0.190316 + 0.0677501i
\(323\) −2.29295 2.87527i −0.127583 0.159984i
\(324\) −8.46636 + 3.05299i −0.470353 + 0.169611i
\(325\) 7.18316 12.4416i 0.398450 0.690136i
\(326\) −1.67006 + 4.25524i −0.0924961 + 0.235676i
\(327\) −29.3950 + 18.9543i −1.62555 + 1.04818i
\(328\) 0.474511 + 6.33191i 0.0262005 + 0.349621i
\(329\) −0.225906 + 7.05707i −0.0124546 + 0.389069i
\(330\) 1.30193 5.09713i 0.0716688 0.280588i
\(331\) 5.52839 + 6.93238i 0.303868 + 0.381038i 0.910197 0.414176i \(-0.135930\pi\)
−0.606329 + 0.795214i \(0.707359\pi\)
\(332\) 0.0954064 1.27311i 0.00523611 0.0698710i
\(333\) 0.0858631 + 0.0652401i 0.00470527 + 0.00357514i
\(334\) 0.296892 + 3.96175i 0.0162452 + 0.216777i
\(335\) 6.50531 + 6.03604i 0.355423 + 0.329784i
\(336\) −1.74699 4.23651i −0.0953063 0.231121i
\(337\) 21.2607 19.7271i 1.15815 1.07460i 0.162010 0.986789i \(-0.448202\pi\)
0.996137 0.0878139i \(-0.0279881\pi\)
\(338\) −2.50846 2.32751i −0.136442 0.126600i
\(339\) 1.75648 1.54778i 0.0953990 0.0840639i
\(340\) −0.553788 + 0.170821i −0.0300333 + 0.00926406i
\(341\) −20.8653 14.2257i −1.12992 0.770367i
\(342\) −8.73639 + 7.30857i −0.472410 + 0.395202i
\(343\) 18.3678 2.37144i 0.991768 0.128046i
\(344\) 3.51886 6.09484i 0.189724 0.328612i
\(345\) 1.36710 0.383545i 0.0736023 0.0206494i
\(346\) −3.31699 + 14.5327i −0.178322 + 0.781281i
\(347\) 11.8256 14.8289i 0.634832 0.796055i −0.355514 0.934671i \(-0.615694\pi\)
0.990346 + 0.138616i \(0.0442655\pi\)
\(348\) −9.26486 + 1.15404i −0.496649 + 0.0618628i
\(349\) 19.4917 + 6.01241i 1.04337 + 0.321837i 0.768638 0.639684i \(-0.220935\pi\)
0.274731 + 0.961521i \(0.411411\pi\)
\(350\) 12.2704 0.525487i 0.655880 0.0280885i
\(351\) 15.6701 + 3.61341i 0.836406 + 0.192870i
\(352\) −0.379363 5.06225i −0.0202201 0.269819i
\(353\) −9.11872 + 8.46094i −0.485340 + 0.450330i −0.884492 0.466555i \(-0.845495\pi\)
0.399152 + 0.916885i \(0.369305\pi\)
\(354\) −2.17397 + 8.51122i −0.115545 + 0.452366i
\(355\) −6.97138 + 1.05077i −0.370003 + 0.0557689i
\(356\) 1.47885 + 1.00826i 0.0783790 + 0.0534379i
\(357\) −4.21852 + 1.38077i −0.223268 + 0.0730781i
\(358\) −9.03941 + 6.16297i −0.477748 + 0.325723i
\(359\) −6.30268 + 5.84803i −0.332643 + 0.308647i −0.828756 0.559611i \(-0.810951\pi\)
0.496113 + 0.868258i \(0.334760\pi\)
\(360\) 0.569132 + 1.70232i 0.0299959 + 0.0897204i
\(361\) 2.29223 3.97026i 0.120644 0.208961i
\(362\) 2.67401 0.140543
\(363\) 13.3560 21.8197i 0.701011 1.14524i
\(364\) −1.47881 + 8.05354i −0.0775110 + 0.422120i
\(365\) −4.20206 0.633359i −0.219946 0.0331515i
\(366\) 2.68356 + 13.3258i 0.140272 + 0.696553i
\(367\) −1.30133 17.3651i −0.0679291 0.906450i −0.922223 0.386659i \(-0.873629\pi\)
0.854294 0.519791i \(-0.173990\pi\)
\(368\) 1.13206 0.771825i 0.0590127 0.0402342i
\(369\) −0.446563 19.0438i −0.0232471 0.991379i
\(370\) 0.0134092 0.0168146i 0.000697113 0.000874152i
\(371\) −13.8202 1.48164i −0.717509 0.0769228i
\(372\) 8.61346 + 0.221220i 0.446587 + 0.0114697i
\(373\) 3.36105 5.82151i 0.174029 0.301426i −0.765796 0.643084i \(-0.777655\pi\)
0.939825 + 0.341657i \(0.110988\pi\)
\(374\) −4.91711 −0.254257
\(375\) −9.98884 0.256544i −0.515821 0.0132479i
\(376\) −0.593839 2.60178i −0.0306249 0.134176i
\(377\) 15.0304 + 7.23825i 0.774104 + 0.372789i
\(378\) 4.58166 + 12.9618i 0.235655 + 0.666683i
\(379\) −28.0808 + 13.5230i −1.44241 + 0.694630i −0.981260 0.192690i \(-0.938279\pi\)
−0.461154 + 0.887320i \(0.652564\pi\)
\(380\) 1.41636 + 1.77606i 0.0726578 + 0.0911100i
\(381\) 1.60139 6.26956i 0.0820419 0.321199i
\(382\) 1.68932 + 7.40139i 0.0864331 + 0.378688i
\(383\) −20.9283 + 14.2687i −1.06939 + 0.729097i −0.964152 0.265350i \(-0.914512\pi\)
−0.105237 + 0.994447i \(0.533560\pi\)
\(384\) 1.04479 + 1.38145i 0.0533168 + 0.0704969i
\(385\) −7.77326 2.03792i −0.396162 0.103862i
\(386\) −2.94589 12.9068i −0.149942 0.656939i
\(387\) −11.4812 + 17.7185i −0.583624 + 0.900683i
\(388\) −3.56238 9.07679i −0.180852 0.460804i
\(389\) −4.14160 + 1.27751i −0.209987 + 0.0647725i −0.397964 0.917401i \(-0.630283\pi\)
0.187977 + 0.982173i \(0.439807\pi\)
\(390\) 0.793718 3.10745i 0.0401915 0.157352i
\(391\) −0.663565 1.14933i −0.0335579 0.0581240i
\(392\) −6.48812 + 2.62760i −0.327700 + 0.132714i
\(393\) 8.53475 + 23.5034i 0.430521 + 1.18559i
\(394\) −16.9684 + 8.17153i −0.854854 + 0.411676i
\(395\) 2.74528 + 2.54725i 0.138130 + 0.128166i
\(396\) 0.357019 + 15.2251i 0.0179409 + 0.765092i
\(397\) −8.70177 + 2.68414i −0.436729 + 0.134713i −0.505320 0.862932i \(-0.668626\pi\)
0.0685914 + 0.997645i \(0.478150\pi\)
\(398\) −13.9593 4.30587i −0.699716 0.215834i
\(399\) 11.0794 + 13.4154i 0.554665 + 0.671609i
\(400\) −4.43579 + 1.36826i −0.221789 + 0.0684130i
\(401\) 10.1458 6.91726i 0.506655 0.345431i −0.282862 0.959161i \(-0.591284\pi\)
0.789517 + 0.613729i \(0.210331\pi\)
\(402\) −22.8521 11.7371i −1.13976 0.585391i
\(403\) −12.7205 8.67270i −0.633654 0.432018i
\(404\) 1.40174 3.57158i 0.0697393 0.177693i
\(405\) −1.44299 5.18789i −0.0717029 0.257788i
\(406\) 1.67330 + 14.1632i 0.0830445 + 0.702906i
\(407\) 0.150768 0.102792i 0.00747331 0.00509522i
\(408\) 1.40998 0.909173i 0.0698042 0.0450108i
\(409\) −0.407071 0.510451i −0.0201284 0.0252402i 0.771665 0.636029i \(-0.219424\pi\)
−0.791794 + 0.610788i \(0.790853\pi\)
\(410\) −3.79910 −0.187624
\(411\) −8.21448 1.45474i −0.405191 0.0717570i
\(412\) 16.9386 2.55308i 0.834504 0.125781i
\(413\) 12.9798 + 3.40293i 0.638696 + 0.167447i
\(414\) −3.51056 + 2.13809i −0.172535 + 0.105081i
\(415\) 0.755325 + 0.113847i 0.0370774 + 0.00558852i
\(416\) −0.231278 3.08619i −0.0113393 0.151313i
\(417\) 0.935359 + 0.673533i 0.0458047 + 0.0329831i
\(418\) 7.04163 + 17.9418i 0.344418 + 0.877561i
\(419\) 38.7996 + 5.84811i 1.89549 + 0.285699i 0.990260 0.139230i \(-0.0444628\pi\)
0.905227 + 0.424929i \(0.139701\pi\)
\(420\) 2.60579 0.852905i 0.127149 0.0416175i
\(421\) −28.1291 + 4.23979i −1.37093 + 0.206635i −0.792886 0.609370i \(-0.791422\pi\)
−0.578045 + 0.816005i \(0.696184\pi\)
\(422\) −6.94143 12.0229i −0.337904 0.585266i
\(423\) 1.37850 + 7.88650i 0.0670251 + 0.383455i
\(424\) 5.19480 0.782991i 0.252282 0.0380254i
\(425\) 1.00052 + 4.38359i 0.0485326 + 0.212635i
\(426\) 18.6094 8.38024i 0.901630 0.406024i
\(427\) 20.3811 3.97041i 0.986309 0.192142i
\(428\) 14.0563 + 9.58342i 0.679436 + 0.463232i
\(429\) 14.2065 23.2091i 0.685897 1.12055i
\(430\) 3.47910 + 2.37201i 0.167777 + 0.114388i
\(431\) −2.27425 0.701512i −0.109547 0.0337906i 0.239497 0.970897i \(-0.423017\pi\)
−0.349044 + 0.937106i \(0.613494\pi\)
\(432\) −2.91751 4.29979i −0.140369 0.206874i
\(433\) −5.07006 + 22.2134i −0.243652 + 1.06751i 0.694012 + 0.719963i \(0.255841\pi\)
−0.937664 + 0.347544i \(0.887016\pi\)
\(434\) 0.421105 13.1549i 0.0202137 0.631454i
\(435\) −0.274294 5.57940i −0.0131514 0.267512i
\(436\) −14.8029 13.7351i −0.708930 0.657791i
\(437\) −3.24346 + 4.06717i −0.155156 + 0.194559i
\(438\) 12.2075 1.52058i 0.583299 0.0726560i
\(439\) 14.9048 7.17776i 0.711366 0.342576i −0.0429591 0.999077i \(-0.513679\pi\)
0.754325 + 0.656501i \(0.227964\pi\)
\(440\) 3.03731 0.144798
\(441\) 19.8433 6.87327i 0.944921 0.327299i
\(442\) −2.99770 −0.142586
\(443\) 36.1129 17.3911i 1.71578 0.826274i 0.725325 0.688407i \(-0.241689\pi\)
0.990451 0.137867i \(-0.0440248\pi\)
\(444\) −0.0242264 + 0.0573526i −0.00114974 + 0.00272184i
\(445\) −0.667694 + 0.837262i −0.0316518 + 0.0396900i
\(446\) −12.4015 11.5070i −0.587230 0.544870i
\(447\) 17.3053 11.1587i 0.818512 0.527788i
\(448\) 2.12025 1.58257i 0.100172 0.0747695i
\(449\) −4.33294 + 18.9839i −0.204484 + 0.895903i 0.763682 + 0.645593i \(0.223390\pi\)
−0.968166 + 0.250310i \(0.919467\pi\)
\(450\) 13.5005 3.41627i 0.636421 0.161044i
\(451\) −30.8017 9.50106i −1.45039 0.447387i
\(452\) 1.11678 + 0.761410i 0.0525291 + 0.0358137i
\(453\) 13.9038 + 25.5769i 0.653256 + 1.20171i
\(454\) −9.67222 6.59441i −0.453940 0.309491i
\(455\) −4.73895 1.24241i −0.222166 0.0582452i
\(456\) −5.33662 3.84280i −0.249910 0.179955i
\(457\) −0.444169 1.94603i −0.0207773 0.0910315i 0.963476 0.267794i \(-0.0862947\pi\)
−0.984254 + 0.176763i \(0.943438\pi\)
\(458\) −11.2900 + 1.70169i −0.527547 + 0.0795149i
\(459\) −4.36436 + 2.50679i −0.203711 + 0.117007i
\(460\) 0.409886 + 0.709943i 0.0191110 + 0.0331013i
\(461\) −1.78956 + 0.269732i −0.0833479 + 0.0125627i −0.190584 0.981671i \(-0.561038\pi\)
0.107236 + 0.994234i \(0.465800\pi\)
\(462\) 23.2598 0.398294i 1.08214 0.0185303i
\(463\) −36.5855 5.51437i −1.70027 0.256275i −0.774014 0.633169i \(-0.781754\pi\)
−0.926256 + 0.376894i \(0.876992\pi\)
\(464\) −1.96934 5.01779i −0.0914242 0.232945i
\(465\) −0.517115 + 5.12926i −0.0239806 + 0.237864i
\(466\) −1.51712 20.2446i −0.0702794 0.937813i
\(467\) −20.0500 3.02205i −0.927804 0.139844i −0.332280 0.943181i \(-0.607818\pi\)
−0.595525 + 0.803337i \(0.703056\pi\)
\(468\) 0.217656 + 9.28198i 0.0100611 + 0.429060i
\(469\) −18.1490 + 34.7931i −0.838044 + 1.60659i
\(470\) 1.57888 0.237978i 0.0728283 0.0109771i
\(471\) −23.8814 + 28.4178i −1.10040 + 1.30942i
\(472\) −5.07172 −0.233445
\(473\) 22.2751 + 27.9321i 1.02421 + 1.28432i
\(474\) −9.64372 4.95311i −0.442951 0.227504i
\(475\) 14.5622 9.92836i 0.668161 0.455544i
\(476\) −1.37514 2.16251i −0.0630294 0.0991186i
\(477\) −15.6844 + 1.54589i −0.718141 + 0.0707815i
\(478\) 3.18083 8.10462i 0.145488 0.370697i
\(479\) 9.34442 + 6.37092i 0.426958 + 0.291095i 0.757671 0.652636i \(-0.226337\pi\)
−0.330714 + 0.943731i \(0.607289\pi\)
\(480\) −0.870946 + 0.561599i −0.0397531 + 0.0256334i
\(481\) 0.0919156 0.0626670i 0.00419099 0.00285737i
\(482\) 7.98444 2.46287i 0.363681 0.112181i
\(483\) 3.23201 + 5.38301i 0.147062 + 0.244935i
\(484\) 14.1141 + 4.35362i 0.641549 + 0.197892i
\(485\) 5.57487 1.71962i 0.253142 0.0780839i
\(486\) 8.07882 + 13.3316i 0.366463 + 0.604735i
\(487\) −2.58796 2.40127i −0.117271 0.108812i 0.619358 0.785109i \(-0.287393\pi\)
−0.736629 + 0.676297i \(0.763584\pi\)
\(488\) −7.07092 + 3.40518i −0.320085 + 0.154145i
\(489\) 7.79630 + 1.38068i 0.352561 + 0.0624365i
\(490\) −1.27764 3.98857i −0.0577179 0.180185i
\(491\) −10.3043 17.8476i −0.465026 0.805449i 0.534177 0.845373i \(-0.320622\pi\)
−0.999203 + 0.0399240i \(0.987288\pi\)
\(492\) 10.5891 2.97081i 0.477394 0.133935i
\(493\) −4.98925 + 1.53898i −0.224705 + 0.0693122i
\(494\) 4.29292 + 10.9382i 0.193147 + 0.492132i
\(495\) −9.09991 0.467736i −0.409011 0.0210232i
\(496\) 1.10696 + 4.84990i 0.0497039 + 0.217767i
\(497\) −12.6210 28.5068i −0.566131 1.27870i
\(498\) −2.19432 + 0.273325i −0.0983297 + 0.0122480i
\(499\) −18.2656 + 12.4533i −0.817682 + 0.557486i −0.898363 0.439254i \(-0.855243\pi\)
0.0806812 + 0.996740i \(0.474290\pi\)
\(500\) −1.28371 5.62432i −0.0574094 0.251527i
\(501\) 6.62539 1.85878i 0.296001 0.0830440i
\(502\) −13.7307 17.2177i −0.612830 0.768464i
\(503\) −25.4475 + 12.2549i −1.13465 + 0.546419i −0.904388 0.426710i \(-0.859672\pi\)
−0.230262 + 0.973129i \(0.573958\pi\)
\(504\) −6.59608 + 4.41494i −0.293813 + 0.196657i
\(505\) 2.06828 + 0.996030i 0.0920372 + 0.0443228i
\(506\) 1.54773 + 6.78103i 0.0688048 + 0.301453i
\(507\) −3.09430 + 5.05514i −0.137423 + 0.224507i
\(508\) 3.73594 0.165756
\(509\) 14.4447 25.0189i 0.640248 1.10894i −0.345129 0.938555i \(-0.612165\pi\)
0.985377 0.170387i \(-0.0545018\pi\)
\(510\) 0.479407 + 0.881901i 0.0212285 + 0.0390512i
\(511\) −2.20477 18.6616i −0.0975332 0.825542i
\(512\) −0.623490 + 0.781831i −0.0275546 + 0.0345524i
\(513\) 15.3970 + 12.3350i 0.679793 + 0.544604i
\(514\) −17.4187 + 11.8759i −0.768306 + 0.523822i
\(515\) 0.765914 + 10.2204i 0.0337502 + 0.450365i
\(516\) −11.5520 3.89085i −0.508550 0.171285i
\(517\) 13.3961 + 2.01914i 0.589161 + 0.0888018i
\(518\) 0.0873719 + 0.0375597i 0.00383890 + 0.00165028i
\(519\) 25.8101 + 0.662884i 1.13294 + 0.0290974i
\(520\) 1.85169 0.0812019
\(521\) 16.4383 28.4720i 0.720176 1.24738i −0.240753 0.970586i \(-0.577394\pi\)
0.960929 0.276795i \(-0.0892722\pi\)
\(522\) 5.12750 + 15.3368i 0.224424 + 0.671273i
\(523\) 0.875799 0.812623i 0.0382960 0.0355335i −0.660793 0.750569i \(-0.729780\pi\)
0.699089 + 0.715035i \(0.253589\pi\)
\(524\) −11.9281 + 8.13247i −0.521083 + 0.355269i
\(525\) −5.08794 20.6550i −0.222056 0.901457i
\(526\) 13.0176 + 8.87527i 0.567596 + 0.386980i
\(527\) 4.76466 0.718157i 0.207552 0.0312834i
\(528\) −8.46580 + 2.37511i −0.368426 + 0.103363i
\(529\) 15.4841 14.3671i 0.673220 0.624657i
\(530\) 0.234894 + 3.13444i 0.0102031 + 0.136152i
\(531\) 15.1951 + 0.781028i 0.659411 + 0.0338937i
\(532\) −5.92139 + 8.11454i −0.256725 + 0.351810i
\(533\) −18.7782 5.79230i −0.813373 0.250892i
\(534\) 1.20632 2.85580i 0.0522027 0.123582i
\(535\) −6.34635 + 7.95807i −0.274377 + 0.344057i
\(536\) 3.30046 14.4603i 0.142558 0.624588i
\(537\) 13.5554 + 13.2413i 0.584958 + 0.571402i
\(538\) −11.2048 + 19.4072i −0.483071 + 0.836704i
\(539\) −0.383740 35.5330i −0.0165289 1.53052i
\(540\) 2.69588 1.54845i 0.116012 0.0666348i
\(541\) 1.34465 + 0.916767i 0.0578110 + 0.0394149i 0.591881 0.806026i \(-0.298386\pi\)
−0.534070 + 0.845440i \(0.679338\pi\)
\(542\) 27.9984 8.63637i 1.20264 0.370964i
\(543\) −0.914341 4.54038i −0.0392381 0.194846i
\(544\) 0.710043 + 0.658824i 0.0304428 + 0.0282468i
\(545\) 8.85679 8.21790i 0.379383 0.352016i
\(546\) 14.1803 0.242819i 0.606860 0.0103917i
\(547\) −25.8814 24.0144i −1.10661 1.02678i −0.999470 0.0325387i \(-0.989641\pi\)
−0.107138 0.994244i \(-0.534169\pi\)
\(548\) −0.359932 4.80296i −0.0153755 0.205172i
\(549\) 21.7092 9.11316i 0.926525 0.388940i
\(550\) 1.76101 23.4991i 0.0750898 1.00200i
\(551\) 12.7605 + 16.0011i 0.543614 + 0.681670i
\(552\) −1.69762 1.65828i −0.0722556 0.0705811i
\(553\) −7.65900 + 14.6829i −0.325694 + 0.624380i
\(554\) −0.668051 8.91452i −0.0283828 0.378742i
\(555\) −0.0331357 0.0170189i −0.00140653 0.000722410i
\(556\) −0.243123 + 0.619467i −0.0103107 + 0.0262712i
\(557\) −13.7619 + 23.8363i −0.583110 + 1.00998i 0.411999 + 0.911184i \(0.364831\pi\)
−0.995108 + 0.0987909i \(0.968503\pi\)
\(558\) −2.56963 14.7010i −0.108781 0.622342i
\(559\) 13.5800 + 17.0288i 0.574372 + 0.720240i
\(560\) 0.849427 + 1.33579i 0.0358948 + 0.0564474i
\(561\) 1.68133 + 8.34907i 0.0709860 + 0.352498i
\(562\) −8.19925 20.8913i −0.345864 0.881248i
\(563\) 34.8499 + 16.7828i 1.46875 + 0.707312i 0.985736 0.168301i \(-0.0538280\pi\)
0.483013 + 0.875613i \(0.339542\pi\)
\(564\) −4.21467 + 1.89796i −0.177470 + 0.0799185i
\(565\) −0.504223 + 0.632275i −0.0212128 + 0.0266000i
\(566\) 9.65377 12.1054i 0.405778 0.508830i
\(567\) 20.4420 12.2116i 0.858485 0.512839i
\(568\) 7.34678 + 9.21257i 0.308264 + 0.386551i
\(569\) 4.75810 0.199470 0.0997349 0.995014i \(-0.468201\pi\)
0.0997349 + 0.995014i \(0.468201\pi\)
\(570\) 2.53138 3.01223i 0.106028 0.126168i
\(571\) 20.2243 + 25.3605i 0.846361 + 1.06130i 0.997349 + 0.0727671i \(0.0231830\pi\)
−0.150988 + 0.988536i \(0.548246\pi\)
\(572\) 15.0128 + 4.63084i 0.627717 + 0.193625i
\(573\) 11.9897 5.39920i 0.500875 0.225555i
\(574\) −4.43562 16.2035i −0.185139 0.676321i
\(575\) 5.73034 2.75959i 0.238972 0.115083i
\(576\) 1.98840 2.24639i 0.0828501 0.0935994i
\(577\) 3.21202 42.8614i 0.133718 1.78435i −0.378611 0.925556i \(-0.623598\pi\)
0.512329 0.858789i \(-0.328783\pi\)
\(578\) −11.7741 + 10.9248i −0.489739 + 0.454411i
\(579\) −20.9080 + 9.41532i −0.868906 + 0.391287i
\(580\) 3.08187 0.950632i 0.127968 0.0394728i
\(581\) 0.396309 + 3.35445i 0.0164417 + 0.139166i
\(582\) −14.1940 + 9.15247i −0.588358 + 0.379382i
\(583\) −5.93441 + 26.0003i −0.245778 + 1.07682i
\(584\) 2.59483 + 6.61152i 0.107375 + 0.273587i
\(585\) −5.54774 0.285154i −0.229371 0.0117897i
\(586\) 18.8431 + 12.8470i 0.778400 + 0.530704i
\(587\) 7.56606 13.1048i 0.312285 0.540893i −0.666572 0.745441i \(-0.732239\pi\)
0.978857 + 0.204548i \(0.0655724\pi\)
\(588\) 6.68010 + 10.1181i 0.275483 + 0.417264i
\(589\) −9.44378 16.3571i −0.389124 0.673983i
\(590\) 0.226767 3.02600i 0.00933585 0.124578i
\(591\) 19.6771 + 26.0175i 0.809406 + 1.07022i
\(592\) −0.0355441 0.00535741i −0.00146085 0.000220188i
\(593\) 22.4975 6.93956i 0.923861 0.284974i 0.203903 0.978991i \(-0.434637\pi\)
0.719958 + 0.694018i \(0.244161\pi\)
\(594\) 25.7297 5.81223i 1.05570 0.238479i
\(595\) 1.35173 0.723774i 0.0554155 0.0296719i
\(596\) 8.71469 + 8.08605i 0.356967 + 0.331217i
\(597\) −2.53803 + 25.1747i −0.103875 + 1.03033i
\(598\) 0.943568 + 4.13404i 0.0385854 + 0.169053i
\(599\) 1.64868 0.793961i 0.0673631 0.0324404i −0.399899 0.916559i \(-0.630955\pi\)
0.467262 + 0.884119i \(0.345240\pi\)
\(600\) 3.84001 + 7.06395i 0.156768 + 0.288385i
\(601\) 0.403591 5.38555i 0.0164628 0.219681i −0.982905 0.184116i \(-0.941058\pi\)
0.999367 0.0355653i \(-0.0113232\pi\)
\(602\) −6.05482 + 17.6081i −0.246776 + 0.717652i
\(603\) −12.1152 + 42.8153i −0.493367 + 1.74357i
\(604\) −12.3209 + 11.4321i −0.501330 + 0.465166i
\(605\) −3.22862 + 8.22638i −0.131262 + 0.334450i
\(606\) −6.54372 1.15886i −0.265820 0.0470753i
\(607\) 0.814619 1.41096i 0.0330644 0.0572691i −0.849020 0.528361i \(-0.822807\pi\)
0.882084 + 0.471092i \(0.156140\pi\)
\(608\) 1.38712 3.53432i 0.0562551 0.143336i
\(609\) 23.4764 7.68410i 0.951311 0.311375i
\(610\) −1.71551 4.37105i −0.0694591 0.176979i
\(611\) 8.16692 + 1.23097i 0.330398 + 0.0497995i
\(612\) −2.02586 2.08321i −0.0818907 0.0842088i
\(613\) −0.0998055 + 0.0680462i −0.00403111 + 0.00274836i −0.565334 0.824862i \(-0.691253\pi\)
0.561303 + 0.827610i \(0.310300\pi\)
\(614\) −5.60371 + 7.02683i −0.226147 + 0.283580i
\(615\) 1.29905 + 6.45073i 0.0523827 + 0.260119i
\(616\) 3.54620 + 12.9544i 0.142880 + 0.521948i
\(617\) 10.0897 25.7081i 0.406195 1.03497i −0.570683 0.821171i \(-0.693321\pi\)
0.976878 0.213798i \(-0.0685835\pi\)
\(618\) −10.1269 27.8881i −0.407366 1.12182i
\(619\) −18.0569 31.2755i −0.725769 1.25707i −0.958657 0.284566i \(-0.908151\pi\)
0.232887 0.972504i \(-0.425183\pi\)
\(620\) −2.94315 + 0.443608i −0.118200 + 0.0178157i
\(621\) 4.83078 + 5.22971i 0.193853 + 0.209861i
\(622\) −6.53072 3.14503i −0.261858 0.126104i
\(623\) −4.35056 1.87023i −0.174302 0.0749294i
\(624\) −5.16115 + 1.44798i −0.206612 + 0.0579656i
\(625\) −19.5378 + 2.94484i −0.781511 + 0.117794i
\(626\) 16.6449 8.01574i 0.665262 0.320373i
\(627\) 28.0567 18.0914i 1.12048 0.722500i
\(628\) −19.3089 9.29867i −0.770508 0.371057i
\(629\) −0.00774758 + 0.0339444i −0.000308916 + 0.00135345i
\(630\) −2.33921 4.13289i −0.0931965 0.164658i
\(631\) 8.86777 + 38.8523i 0.353020 + 1.54668i 0.770166 + 0.637844i \(0.220174\pi\)
−0.417145 + 0.908840i \(0.636969\pi\)
\(632\) 1.39281 6.10232i 0.0554032 0.242737i
\(633\) −18.0409 + 15.8974i −0.717063 + 0.631864i
\(634\) 6.11519 26.7924i 0.242865 1.06406i
\(635\) −0.167042 + 2.22902i −0.00662885 + 0.0884559i
\(636\) −3.10578 8.55285i −0.123152 0.339143i
\(637\) −0.233946 21.6626i −0.00926930 0.858305i
\(638\) 27.3641 1.08335
\(639\) −20.5926 28.7326i −0.814630 1.13665i
\(640\) −0.438595 0.406957i −0.0173370 0.0160864i
\(641\) 5.39327 + 0.812905i 0.213021 + 0.0321078i 0.254686 0.967024i \(-0.418028\pi\)
−0.0416645 + 0.999132i \(0.513266\pi\)
\(642\) 11.4659 27.1440i 0.452525 1.07129i
\(643\) −23.5740 + 21.8735i −0.929667 + 0.862605i −0.990774 0.135526i \(-0.956727\pi\)
0.0611067 + 0.998131i \(0.480537\pi\)
\(644\) −2.54941 + 2.57709i −0.100461 + 0.101552i
\(645\) 2.83796 6.71845i 0.111744 0.264539i
\(646\) −3.31341 1.59565i −0.130364 0.0627802i
\(647\) 22.8473 + 7.04746i 0.898220 + 0.277064i 0.709282 0.704925i \(-0.249019\pi\)
0.188938 + 0.981989i \(0.439495\pi\)
\(648\) −6.30328 + 6.42407i −0.247616 + 0.252361i
\(649\) 9.40617 23.9665i 0.369225 0.940769i
\(650\) 1.07360 14.3262i 0.0421099 0.561918i
\(651\) −22.4805 + 3.78310i −0.881080 + 0.148272i
\(652\) 0.341609 + 4.55845i 0.0133784 + 0.178523i
\(653\) 0.0244721 + 0.00754865i 0.000957668 + 0.000295402i 0.295234 0.955425i \(-0.404602\pi\)
−0.294276 + 0.955720i \(0.595079\pi\)
\(654\) −18.2600 + 29.8313i −0.714024 + 1.16650i
\(655\) −4.31884 7.48044i −0.168751 0.292285i
\(656\) 3.17483 + 5.49898i 0.123956 + 0.214699i
\(657\) −6.75608 20.2080i −0.263580 0.788390i
\(658\) 2.85841 + 6.45622i 0.111433 + 0.251690i
\(659\) −17.8615 45.5104i −0.695786 1.77283i −0.632131 0.774862i \(-0.717819\pi\)
−0.0636551 0.997972i \(-0.520276\pi\)
\(660\) −1.03856 5.15724i −0.0404261 0.200745i
\(661\) 9.80196 + 4.72038i 0.381252 + 0.183601i 0.614687 0.788771i \(-0.289282\pi\)
−0.233435 + 0.972372i \(0.574997\pi\)
\(662\) 7.98875 + 3.84718i 0.310492 + 0.149525i
\(663\) 1.02502 + 5.08999i 0.0398086 + 0.197679i
\(664\) −0.466424 1.18843i −0.0181008 0.0461200i
\(665\) −4.57671 3.89577i −0.177477 0.151071i
\(666\) 0.105667 + 0.0215247i 0.00409450 + 0.000834065i
\(667\) 3.69279 + 6.39611i 0.142986 + 0.247658i
\(668\) 1.98643 + 3.44060i 0.0768573 + 0.133121i
\(669\) −15.2979 + 24.9920i −0.591449 + 0.966247i
\(670\) 8.48002 + 2.61574i 0.327612 + 0.101055i
\(671\) −2.97729 39.7292i −0.114937 1.53373i
\(672\) −3.41214 3.05897i −0.131626 0.118002i
\(673\) 0.419097 5.59246i 0.0161550 0.215574i −0.983284 0.182079i \(-0.941717\pi\)
0.999439 0.0334945i \(-0.0106636\pi\)
\(674\) 10.5960 26.9982i 0.408143 1.03993i
\(675\) −10.4170 21.7553i −0.400951 0.837360i
\(676\) −3.26992 1.00864i −0.125766 0.0387937i
\(677\) 35.1033 + 16.9048i 1.34913 + 0.649706i 0.962185 0.272397i \(-0.0878165\pi\)
0.386944 + 0.922103i \(0.373531\pi\)
\(678\) 0.910979 2.15661i 0.0349859 0.0828242i
\(679\) 13.8433 + 21.7696i 0.531255 + 0.835440i
\(680\) −0.424829 + 0.394184i −0.0162914 + 0.0151163i
\(681\) −7.88979 + 18.6779i −0.302337 + 0.715740i
\(682\) −24.9713 3.76382i −0.956202 0.144124i
\(683\) −10.7538 9.97811i −0.411485 0.381802i 0.447091 0.894488i \(-0.352460\pi\)
−0.858576 + 0.512686i \(0.828650\pi\)
\(684\) −4.70015 + 10.3754i −0.179715 + 0.396712i
\(685\) 2.88174 0.110106
\(686\) 15.5199 10.1061i 0.592552 0.385852i
\(687\) 6.74987 + 18.5881i 0.257524 + 0.709182i
\(688\) 0.525929 7.01803i 0.0200509 0.267560i
\(689\) −3.61790 + 15.8511i −0.137831 + 0.603877i
\(690\) 1.06530 0.938726i 0.0405554 0.0357367i
\(691\) −3.09507 + 13.5604i −0.117742 + 0.515861i 0.881318 + 0.472523i \(0.156657\pi\)
−0.999060 + 0.0433385i \(0.986201\pi\)
\(692\) 3.31699 + 14.5327i 0.126093 + 0.552449i
\(693\) −8.62964 39.3581i −0.327813 1.49509i
\(694\) 4.22051 18.4913i 0.160209 0.701919i
\(695\) −0.358729 0.172755i −0.0136074 0.00655296i
\(696\) −7.84663 + 5.05962i −0.297426 + 0.191785i
\(697\) 5.54129 2.66854i 0.209891 0.101078i
\(698\) 20.1701 3.04016i 0.763451 0.115072i
\(699\) −33.8558 + 9.49837i −1.28055 + 0.359261i
\(700\) 10.8272 5.79737i 0.409231 0.219120i
\(701\) 20.1132 + 9.68600i 0.759664 + 0.365835i 0.773274 0.634072i \(-0.218618\pi\)
−0.0136094 + 0.999907i \(0.504332\pi\)
\(702\) 15.6860 3.54341i 0.592031 0.133737i
\(703\) 0.134953 0.0203409i 0.00508985 0.000767171i
\(704\) −2.53822 4.39633i −0.0956628 0.165693i
\(705\) −0.943954 2.59951i −0.0355513 0.0979031i
\(706\) −4.54462 + 11.5795i −0.171039 + 0.435800i
\(707\) −1.83335 + 9.98430i −0.0689501 + 0.375498i
\(708\) 1.73420 + 8.61159i 0.0651753 + 0.323643i
\(709\) −4.32141 + 5.41887i −0.162294 + 0.203510i −0.856328 0.516432i \(-0.827260\pi\)
0.694035 + 0.719942i \(0.255831\pi\)
\(710\) −5.82509 + 3.97148i −0.218612 + 0.149047i
\(711\) −5.11267 + 18.0683i −0.191740 + 0.677615i
\(712\) 1.76987 + 0.266765i 0.0663286 + 0.00999743i
\(713\) −2.49013 6.34475i −0.0932562 0.237613i
\(714\) −3.20166 + 3.07438i −0.119819 + 0.115056i
\(715\) −3.43420 + 8.75021i −0.128432 + 0.327239i
\(716\) −5.47022 + 9.47469i −0.204432 + 0.354086i
\(717\) −14.8490 2.62967i −0.554546 0.0982070i
\(718\) −3.14115 + 8.00352i −0.117227 + 0.298689i
\(719\) −14.9956 + 13.9139i −0.559242 + 0.518900i −0.908366 0.418176i \(-0.862670\pi\)
0.349124 + 0.937076i \(0.386479\pi\)
\(720\) 1.25138 + 1.28680i 0.0466362 + 0.0479564i
\(721\) −42.6968 + 15.1995i −1.59011 + 0.566059i
\(722\) 0.342598 4.57165i 0.0127502 0.170139i
\(723\) −6.91203 12.7151i −0.257061 0.472881i
\(724\) 2.40920 1.16021i 0.0895373 0.0431189i
\(725\) −5.56800 24.3950i −0.206790 0.906008i
\(726\) 2.56617 25.4538i 0.0952396 0.944681i
\(727\) −10.6803 9.90988i −0.396111 0.367537i 0.456822 0.889558i \(-0.348988\pi\)
−0.852933 + 0.522021i \(0.825178\pi\)
\(728\) 2.16193 + 7.89762i 0.0801266 + 0.292705i
\(729\) 19.8742 18.2761i 0.736081 0.676893i
\(730\) −4.06073 + 1.25257i −0.150294 + 0.0463597i
\(731\) −6.74068 1.01599i −0.249313 0.0375779i
\(732\) 8.19966 + 10.8418i 0.303068 + 0.400725i
\(733\) −2.26910 + 30.2791i −0.0838113 + 1.11838i 0.783758 + 0.621067i \(0.213300\pi\)
−0.867569 + 0.497317i \(0.834319\pi\)
\(734\) −8.70689 15.0808i −0.321377 0.556642i
\(735\) −6.33557 + 3.53322i −0.233691 + 0.130325i
\(736\) 0.685068 1.18657i 0.0252519 0.0437376i
\(737\) 62.2112 + 42.4149i 2.29158 + 1.56237i
\(738\) −8.66512 16.9641i −0.318968 0.624457i
\(739\) 2.94402 + 7.50123i 0.108297 + 0.275937i 0.974741 0.223337i \(-0.0716951\pi\)
−0.866444 + 0.499275i \(0.833600\pi\)
\(740\) 0.00478570 0.0209675i 0.000175926 0.000770781i
\(741\) 17.1047 11.0294i 0.628358 0.405174i
\(742\) −13.0944 + 4.66145i −0.480712 + 0.171127i
\(743\) −29.5065 + 9.10154i −1.08249 + 0.333903i −0.784159 0.620560i \(-0.786905\pi\)
−0.298329 + 0.954463i \(0.596429\pi\)
\(744\) 7.85644 3.53793i 0.288031 0.129707i
\(745\) −5.21412 + 4.83800i −0.191031 + 0.177251i
\(746\) 0.502343 6.70331i 0.0183921 0.245426i
\(747\) 1.21441 + 3.63241i 0.0444330 + 0.132903i
\(748\) −4.43016 + 2.13345i −0.161983 + 0.0780067i
\(749\) −41.3515 17.7763i −1.51095 0.649533i
\(750\) −9.11094 + 4.10286i −0.332685 + 0.149815i
\(751\) −7.09132 2.18738i −0.258766 0.0798187i 0.162658 0.986683i \(-0.447993\pi\)
−0.421424 + 0.906864i \(0.638470\pi\)
\(752\) −1.66390 2.08646i −0.0606762 0.0760855i
\(753\) −24.5400 + 29.2015i −0.894289 + 1.06416i
\(754\) 16.6825 0.607540
\(755\) −6.26998 7.86231i −0.228188 0.286139i
\(756\) 9.75185 + 9.69027i 0.354671 + 0.352432i
\(757\) −27.8963 + 34.9809i −1.01391 + 1.27140i −0.0518235 + 0.998656i \(0.516503\pi\)
−0.962086 + 0.272746i \(0.912068\pi\)
\(758\) −19.4325 + 24.3676i −0.705821 + 0.885071i
\(759\) 10.9847 4.94666i 0.398720 0.179552i
\(760\) 2.04670 + 0.985640i 0.0742417 + 0.0357529i
\(761\) −4.81279 12.2628i −0.174464 0.444526i 0.816718 0.577037i \(-0.195791\pi\)
−0.991182 + 0.132511i \(0.957696\pi\)
\(762\) −1.27745 6.34350i −0.0462772 0.229801i
\(763\) 45.3908 + 28.1802i 1.64326 + 1.02019i
\(764\) 4.73337 + 5.93545i 0.171247 + 0.214737i
\(765\) 1.33351 1.11557i 0.0482131 0.0403335i
\(766\) −12.6648 + 21.9361i −0.457599 + 0.792585i
\(767\) 5.73446 14.6112i 0.207059 0.527578i
\(768\) 1.54071 + 0.791327i 0.0555958 + 0.0285545i
\(769\) 3.44440 + 45.9623i 0.124208 + 1.65744i 0.616753 + 0.787157i \(0.288448\pi\)
−0.492545 + 0.870287i \(0.663933\pi\)
\(770\) −7.88769 + 1.53659i −0.284252 + 0.0553749i
\(771\) 26.1209 + 25.5155i 0.940720 + 0.918919i
\(772\) −8.25421 10.3505i −0.297075 0.372521i
\(773\) 1.43463 19.1438i 0.0516001 0.688555i −0.910089 0.414413i \(-0.863987\pi\)
0.961689 0.274142i \(-0.0883940\pi\)
\(774\) −2.65646 + 20.9454i −0.0954845 + 0.752865i
\(775\) 1.72569 + 23.0277i 0.0619886 + 0.827181i
\(776\) −7.14786 6.63225i −0.256593 0.238084i
\(777\) 0.0338994 0.161197i 0.00121614 0.00578292i
\(778\) −3.17716 + 2.94797i −0.113907 + 0.105690i
\(779\) −17.6726 16.3978i −0.633188 0.587512i
\(780\) −0.633159 3.14410i −0.0226707 0.112577i
\(781\) −57.1598 + 17.6315i −2.04534 + 0.630904i
\(782\) −1.09653 0.747599i −0.0392117 0.0267341i
\(783\) 24.2880 13.9505i 0.867984 0.498550i
\(784\) −4.70552 + 5.18248i −0.168054 + 0.185089i
\(785\) 6.41131 11.1047i 0.228829 0.396344i
\(786\) 17.8873 + 17.4728i 0.638019 + 0.623233i
\(787\) 0.645274 2.82713i 0.0230015 0.100776i −0.962124 0.272612i \(-0.912113\pi\)
0.985126 + 0.171835i \(0.0549697\pi\)
\(788\) −11.7425 + 14.7246i −0.418308 + 0.524542i
\(789\) 10.6187 25.1382i 0.378035 0.894945i
\(790\) 3.57862 + 1.10386i 0.127322 + 0.0392735i
\(791\) −3.28541 1.41234i −0.116816 0.0502172i
\(792\) 6.92761 + 13.5625i 0.246162 + 0.481922i
\(793\) −1.81510 24.2208i −0.0644560 0.860106i
\(794\) −6.67542 + 6.19388i −0.236902 + 0.219813i
\(795\) 5.24185 1.47062i 0.185909 0.0521575i
\(796\) −14.4451 + 2.17725i −0.511994 + 0.0771707i
\(797\) 32.5398 + 22.1853i 1.15262 + 0.785843i 0.979971 0.199141i \(-0.0638150\pi\)
0.172649 + 0.984983i \(0.444767\pi\)
\(798\) 15.8029 + 7.27966i 0.559418 + 0.257697i
\(799\) −2.13576 + 1.45614i −0.0755579 + 0.0515145i
\(800\) −3.40284 + 3.15738i −0.120309 + 0.111630i
\(801\) −5.26152 1.07179i −0.185907 0.0378700i
\(802\) 6.13972 10.6343i 0.216801 0.375511i
\(803\) −36.0554 −1.27237
\(804\) −25.6815 0.659581i −0.905718 0.0232616i
\(805\) −1.42361 1.63631i −0.0501757 0.0576724i
\(806\) −15.2237 2.29461i −0.536233 0.0808241i
\(807\) 36.7840 + 12.3892i 1.29486 + 0.436122i
\(808\) −0.286725 3.82608i −0.0100869 0.134601i
\(809\) −31.0927 + 21.1987i −1.09316 + 0.745305i −0.969026 0.246960i \(-0.920568\pi\)
−0.124137 + 0.992265i \(0.539616\pi\)
\(810\) −3.55103 4.04803i −0.124771 0.142233i
\(811\) 15.4954 19.4306i 0.544117 0.682302i −0.431416 0.902153i \(-0.641986\pi\)
0.975533 + 0.219852i \(0.0705573\pi\)
\(812\) 7.65276 + 12.0346i 0.268559 + 0.422330i
\(813\) −24.2379 44.5872i −0.850061 1.56374i
\(814\) 0.0912378 0.158028i 0.00319788 0.00553889i
\(815\) −2.73504 −0.0958041
\(816\) 0.875869 1.43090i 0.0306616 0.0500916i
\(817\) 5.94590 + 26.0507i 0.208021 + 0.911399i
\(818\) −0.588235 0.283279i −0.0205671 0.00990461i
\(819\) −5.26104 23.9946i −0.183836 0.838438i
\(820\) −3.42287 + 1.64837i −0.119532 + 0.0575635i
\(821\) −15.6253 19.5935i −0.545326 0.683818i 0.430443 0.902618i \(-0.358357\pi\)
−0.975770 + 0.218800i \(0.929786\pi\)
\(822\) −8.03218 + 2.25346i −0.280155 + 0.0785983i
\(823\) 5.59464 + 24.5117i 0.195017 + 0.854424i 0.973850 + 0.227193i \(0.0729548\pi\)
−0.778833 + 0.627231i \(0.784188\pi\)
\(824\) 14.1534 9.64962i 0.493057 0.336161i
\(825\) −40.5027 + 5.04504i −1.41012 + 0.175646i
\(826\) 13.1709 2.56581i 0.458275 0.0892759i
\(827\) −8.78983 38.5108i −0.305652 1.33915i −0.861454 0.507836i \(-0.830446\pi\)
0.555801 0.831315i \(-0.312412\pi\)
\(828\) −2.23522 + 3.44953i −0.0776793 + 0.119879i
\(829\) −4.06347 10.3535i −0.141130 0.359593i 0.842780 0.538258i \(-0.180917\pi\)
−0.983910 + 0.178665i \(0.942822\pi\)
\(830\) 0.729920 0.225151i 0.0253359 0.00781509i
\(831\) −14.9081 + 4.18252i −0.517156 + 0.145090i
\(832\) −1.54742 2.68021i −0.0536472 0.0929197i
\(833\) 4.66517 + 4.92021i 0.161639 + 0.170475i
\(834\) 1.13496 + 0.200996i 0.0393006 + 0.00695991i
\(835\) −2.14162 + 1.03135i −0.0741138 + 0.0356913i
\(836\) 14.1289 + 13.1097i 0.488660 + 0.453410i
\(837\) −24.0831 + 9.38993i −0.832433 + 0.324563i
\(838\) 37.4947 11.5656i 1.29523 0.399526i
\(839\) −26.5034 8.17521i −0.914999 0.282240i −0.198722 0.980056i \(-0.563679\pi\)
−0.716277 + 0.697816i \(0.754155\pi\)
\(840\) 1.97767 1.89905i 0.0682362 0.0655235i
\(841\) 0.0539763 0.0166495i 0.00186125 0.000574120i
\(842\) −23.5039 + 16.0247i −0.809998 + 0.552247i
\(843\) −32.6691 + 21.0655i −1.12518 + 0.725535i
\(844\) −11.4706 7.82050i −0.394833 0.269193i
\(845\) 0.747999 1.90587i 0.0257319 0.0655639i
\(846\) 4.66381 + 6.50738i 0.160345 + 0.223728i
\(847\) −38.8558 4.16566i −1.33510 0.143134i
\(848\) 4.34063 2.95939i 0.149058 0.101626i
\(849\) −23.8556 12.2525i −0.818721 0.420503i
\(850\) 2.80341 + 3.51536i 0.0961561 + 0.120576i
\(851\) 0.0492503 0.00168828
\(852\) 13.1305 15.6247i 0.449843 0.535292i
\(853\) −22.9828 + 3.46409i −0.786914 + 0.118608i −0.530193 0.847877i \(-0.677880\pi\)
−0.256722 + 0.966485i \(0.582642\pi\)
\(854\) 16.6400 12.4202i 0.569409 0.425011i
\(855\) −5.98023 3.26821i −0.204519 0.111770i
\(856\) 16.8224 + 2.53556i 0.574977 + 0.0866638i
\(857\) 2.45036 + 32.6978i 0.0837026 + 1.11693i 0.868005 + 0.496555i \(0.165402\pi\)
−0.784302 + 0.620379i \(0.786979\pi\)
\(858\) 2.72958 27.0747i 0.0931863 0.924313i
\(859\) −7.92026 20.1805i −0.270236 0.688549i −0.999988 0.00483810i \(-0.998460\pi\)
0.729753 0.683711i \(-0.239635\pi\)
\(860\) 4.16373 + 0.627582i 0.141982 + 0.0214004i
\(861\) −25.9962 + 13.0721i −0.885950 + 0.445495i
\(862\) −2.35340 + 0.354718i −0.0801571 + 0.0120817i
\(863\) −18.3787 31.8328i −0.625618 1.08360i −0.988421 0.151736i \(-0.951514\pi\)
0.362803 0.931866i \(-0.381820\pi\)
\(864\) −4.49419 2.60812i −0.152895 0.0887299i
\(865\) −8.81910 + 1.32927i −0.299859 + 0.0451964i
\(866\) 5.07006 + 22.2134i 0.172288 + 0.754842i
\(867\) 22.5759 + 16.2565i 0.766717 + 0.552098i
\(868\) −5.32829 12.0348i −0.180854 0.408489i
\(869\) 26.2535 + 17.8993i 0.890590 + 0.607194i
\(870\) −2.66794 4.90785i −0.0904517 0.166392i
\(871\) 37.9269 + 25.8581i 1.28511 + 0.876170i
\(872\) −19.2964 5.95214i −0.653458 0.201565i
\(873\) 20.3940 + 20.9713i 0.690232 + 0.709770i
\(874\) −1.15758 + 5.07168i −0.0391556 + 0.171552i
\(875\) 6.17909 + 13.9565i 0.208891 + 0.471817i
\(876\) 10.3389 6.66665i 0.349318 0.225245i
\(877\) −26.8481 24.9114i −0.906595 0.841197i 0.0812415 0.996694i \(-0.474111\pi\)
−0.987836 + 0.155497i \(0.950302\pi\)
\(878\) 10.3144 12.9339i 0.348095 0.436497i
\(879\) 15.3706 36.3877i 0.518437 1.22733i
\(880\) 2.73652 1.31784i 0.0922481 0.0444243i
\(881\) −34.1532 −1.15065 −0.575325 0.817925i \(-0.695125\pi\)
−0.575325 + 0.817925i \(0.695125\pi\)
\(882\) 14.8960 14.8023i 0.501575 0.498420i
\(883\) 52.5528 1.76854 0.884271 0.466973i \(-0.154656\pi\)
0.884271 + 0.466973i \(0.154656\pi\)
\(884\) −2.70084 + 1.30065i −0.0908390 + 0.0437458i
\(885\) −5.21557 + 0.649654i −0.175320 + 0.0218379i
\(886\) 24.9909 31.3376i 0.839586 1.05281i
\(887\) 35.9791 + 33.3837i 1.20806 + 1.12092i 0.989415 + 0.145112i \(0.0463542\pi\)
0.218645 + 0.975804i \(0.429836\pi\)
\(888\) 0.00305711 + 0.0621844i 0.000102590 + 0.00208677i
\(889\) −9.70199 + 1.89003i −0.325394 + 0.0633897i
\(890\) −0.238297 + 1.04405i −0.00798775 + 0.0349966i
\(891\) −18.6668 41.7006i −0.625363 1.39702i
\(892\) −16.1661 4.98658i −0.541281 0.166963i
\(893\) 8.37180 + 5.70780i 0.280152 + 0.191004i
\(894\) 10.7499 17.5621i 0.359532 0.587365i
\(895\) −5.40841 3.68739i −0.180783 0.123256i
\(896\) 1.22363 2.34579i 0.0408786 0.0783674i
\(897\) 6.69681 3.01572i 0.223600 0.100692i
\(898\) 4.33294 + 18.9839i 0.144592 + 0.633499i
\(899\) −26.5157 + 3.99661i −0.884350 + 0.133294i
\(900\) 10.6813 8.93561i 0.356043 0.297854i
\(901\) −2.54429 4.40684i −0.0847627 0.146813i
\(902\) −31.8737 + 4.80419i −1.06128 + 0.159962i
\(903\) 31.9683 + 4.26003i 1.06384 + 0.141765i
\(904\) 1.33655 + 0.201453i 0.0444530 + 0.00670022i
\(905\) 0.584509 + 1.48931i 0.0194297 + 0.0495062i
\(906\) 23.6243 + 17.0114i 0.784864 + 0.565165i
\(907\) 0.875920 + 11.6883i 0.0290845 + 0.388105i 0.992683 + 0.120751i \(0.0385303\pi\)
−0.963598 + 0.267354i \(0.913851\pi\)
\(908\) −11.5756 1.74474i −0.384149 0.0579011i
\(909\) 0.269837 + 11.5073i 0.00894992 + 0.381671i
\(910\) −4.80871 + 0.936780i −0.159407 + 0.0310539i
\(911\) −7.67272 + 1.15648i −0.254209 + 0.0383158i −0.274910 0.961470i \(-0.588648\pi\)
0.0207016 + 0.999786i \(0.493410\pi\)
\(912\) −6.47546 1.14677i −0.214424 0.0379732i
\(913\) 6.48100 0.214490
\(914\) −1.24453 1.56060i −0.0411655 0.0516199i
\(915\) −6.83530 + 4.40750i −0.225968 + 0.145707i
\(916\) −9.43360 + 6.43172i −0.311695 + 0.212510i
\(917\) 26.8623 27.1540i 0.887072 0.896704i
\(918\) −2.84450 + 4.15217i −0.0938824 + 0.137042i
\(919\) 18.5481 47.2597i 0.611845 1.55895i −0.202940 0.979191i \(-0.565050\pi\)
0.814785 0.579764i \(-0.196855\pi\)
\(920\) 0.677327 + 0.461794i 0.0223308 + 0.0152249i
\(921\) 13.8474 + 7.11217i 0.456288 + 0.234354i
\(922\) −1.49530 + 1.01948i −0.0492451 + 0.0335748i
\(923\) −34.8474 + 10.7490i −1.14702 + 0.353807i
\(924\) 20.7835 10.4509i 0.683728 0.343809i
\(925\) −0.159447 0.0491828i −0.00524258 0.00161712i
\(926\) −35.3550 + 10.9056i −1.16184 + 0.358379i
\(927\) −43.8902 + 26.7311i −1.44154 + 0.877965i
\(928\) −3.95145 3.66641i −0.129713 0.120356i
\(929\) −32.8630 + 15.8260i −1.07820 + 0.519234i −0.886741 0.462267i \(-0.847036\pi\)
−0.191459 + 0.981501i \(0.561322\pi\)
\(930\) 1.75960 + 4.84567i 0.0576994 + 0.158896i
\(931\) 11.2723 24.0686i 0.369434 0.788816i
\(932\) −10.1507 17.5815i −0.332497 0.575901i
\(933\) −3.10706 + 12.1643i −0.101721 + 0.398242i
\(934\) −19.3757 + 5.97660i −0.633991 + 0.195560i
\(935\) −1.07482 2.73861i −0.0351505 0.0895620i
\(936\) 4.22340 + 8.26834i 0.138046 + 0.270259i
\(937\) 6.05315 + 26.5206i 0.197748 + 0.866389i 0.972273 + 0.233847i \(0.0751314\pi\)
−0.774526 + 0.632542i \(0.782011\pi\)
\(938\) −1.25555 + 39.2220i −0.0409951 + 1.28065i
\(939\) −19.3019 25.5215i −0.629894 0.832863i
\(940\) 1.31927 0.899461i 0.0430298 0.0293372i
\(941\) −7.83598 34.3317i −0.255446 1.11918i −0.926061 0.377375i \(-0.876827\pi\)
0.670615 0.741806i \(-0.266030\pi\)
\(942\) −9.18640 + 35.9653i −0.299309 + 1.17181i
\(943\) −5.42430 6.80186i −0.176640 0.221499i
\(944\) −4.56946 + 2.20054i −0.148723 + 0.0716213i
\(945\) −6.21764 + 5.38508i −0.202260 + 0.175177i
\(946\) 32.1885 + 15.5012i 1.04654 + 0.503986i
\(947\) −2.41178 10.5667i −0.0783724 0.343372i 0.920506 0.390729i \(-0.127777\pi\)
−0.998878 + 0.0473575i \(0.984920\pi\)
\(948\) −10.8378 0.278347i −0.351994 0.00904029i
\(949\) −21.9811 −0.713537
\(950\) 8.81236 15.2635i 0.285911 0.495212i
\(951\) −47.5835 1.22209i −1.54300 0.0396290i
\(952\) −2.17724 1.35171i −0.0705646 0.0438090i
\(953\) −3.83047 + 4.80326i −0.124081 + 0.155593i −0.839992 0.542599i \(-0.817440\pi\)
0.715911 + 0.698192i \(0.246012\pi\)
\(954\) −13.4605 + 8.19802i −0.435798 + 0.265421i
\(955\) −3.75298 + 2.55874i −0.121443 + 0.0827987i
\(956\) −0.650635 8.68213i −0.0210431 0.280800i
\(957\) −9.35676 46.4632i −0.302461 1.50194i
\(958\) 11.1833 + 1.68561i 0.361315 + 0.0544595i
\(959\) 3.36457 + 12.2909i 0.108647 + 0.396893i
\(960\) −0.541027 + 0.883872i −0.0174616 + 0.0285269i
\(961\) −6.25311 −0.201713
\(962\) 0.0556229 0.0963417i 0.00179335 0.00310618i
\(963\) −50.0101 10.1873i −1.61155 0.328280i
\(964\) 6.12513 5.68329i 0.197277 0.183046i
\(965\) 6.54457 4.46201i 0.210677 0.143637i
\(966\) 5.24754 + 3.44761i 0.168837 + 0.110925i
\(967\) −31.2243 21.2883i −1.00410 0.684587i −0.0546547 0.998505i \(-0.517406\pi\)
−0.949450 + 0.313918i \(0.898358\pi\)
\(968\) 14.6053 2.20140i 0.469432 0.0707555i
\(969\) −1.57639 + 6.17166i −0.0506409 + 0.198262i
\(970\) 4.27667 3.96817i 0.137316 0.127410i
\(971\) 1.04847 + 13.9909i 0.0336471 + 0.448989i 0.988429 + 0.151683i \(0.0484691\pi\)
−0.954782 + 0.297306i \(0.903912\pi\)
\(972\) 13.0631 + 8.50612i 0.419001 + 0.272834i
\(973\) 0.317982 1.73171i 0.0101940 0.0555161i
\(974\) −3.37354 1.04060i −0.108095 0.0333430i
\(975\) −24.6924 + 3.07570i −0.790789 + 0.0985011i
\(976\) −4.89323 + 6.13591i −0.156628 + 0.196406i
\(977\) −9.96310 + 43.6512i −0.318748 + 1.39653i 0.521003 + 0.853555i \(0.325558\pi\)
−0.839751 + 0.542971i \(0.817299\pi\)
\(978\) 7.62328 2.13874i 0.243766 0.0683893i
\(979\) −4.54306 + 7.86881i −0.145197 + 0.251488i
\(980\) −2.88169 3.03923i −0.0920521 0.0970845i
\(981\) 56.8962 + 20.8045i 1.81656 + 0.664236i
\(982\) −17.0276 11.6092i −0.543373 0.370465i
\(983\) 36.8788 11.3756i 1.17625 0.362825i 0.355811 0.934558i \(-0.384205\pi\)
0.820440 + 0.571733i \(0.193729\pi\)
\(984\) 8.25147 7.27105i 0.263047 0.231793i
\(985\) −8.26027 7.66441i −0.263194 0.244208i
\(986\) −3.82742 + 3.55133i −0.121890 + 0.113097i
\(987\) 9.98503 7.06109i 0.317827 0.224757i
\(988\) 8.61368 + 7.99233i 0.274038 + 0.254270i
\(989\) 0.720594 + 9.61566i 0.0229136 + 0.305760i
\(990\) −8.40168 + 3.52689i −0.267023 + 0.112092i
\(991\) 0.494013 6.59215i 0.0156929 0.209407i −0.983845 0.179020i \(-0.942707\pi\)
0.999538 0.0303863i \(-0.00967374\pi\)
\(992\) 3.10163 + 3.88932i 0.0984768 + 0.123486i
\(993\) 3.80073 14.8801i 0.120613 0.472206i
\(994\) −23.7398 20.2076i −0.752980 0.640948i
\(995\) −0.653167 8.71591i −0.0207068 0.276313i
\(996\) −1.85842 + 1.19834i −0.0588863 + 0.0379707i
\(997\) 2.06860 5.27070i 0.0655131 0.166925i −0.894368 0.447332i \(-0.852374\pi\)
0.959881 + 0.280407i \(0.0904695\pi\)
\(998\) −11.0535 + 19.1452i −0.349892 + 0.606030i
\(999\) 0.000416971 0.186778i 1.31924e−5 0.00590940i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 882.2.bb.b.151.9 yes 336
9.4 even 3 882.2.y.a.445.6 yes 336
49.37 even 21 882.2.y.a.331.6 336
441.184 even 21 inner 882.2.bb.b.625.9 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.a.331.6 336 49.37 even 21
882.2.y.a.445.6 yes 336 9.4 even 3
882.2.bb.b.151.9 yes 336 1.1 even 1 trivial
882.2.bb.b.625.9 yes 336 441.184 even 21 inner