Properties

Label 1110.2.ba.a.529.15
Level $1110$
Weight $2$
Character 1110.529
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 529.15
Character \(\chi\) \(=\) 1110.529
Dual form 1110.2.ba.a.619.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.18834 + 0.459547i) q^{5} -1.00000i q^{6} +(-1.07219 - 0.619032i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.18834 + 0.459547i) q^{5} -1.00000i q^{6} +(-1.07219 - 0.619032i) q^{7} +1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(1.49215 + 1.66538i) q^{10} +2.37933 q^{11} +(-0.866025 + 0.500000i) q^{12} +(-1.12200 + 1.94336i) q^{13} +1.23806i q^{14} +(-2.12493 - 0.696189i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.499820 - 0.865713i) q^{17} +(0.500000 - 0.866025i) q^{18} +(-7.10291 - 4.10087i) q^{19} +(0.696189 - 2.12493i) q^{20} +(-0.619032 - 1.07219i) q^{21} +(-1.18966 - 2.06056i) q^{22} +1.09566 q^{23} +(0.866025 + 0.500000i) q^{24} +(4.57763 - 2.01129i) q^{25} +2.24399 q^{26} +1.00000i q^{27} +(1.07219 - 0.619032i) q^{28} -5.72463i q^{29} +(0.459547 + 2.18834i) q^{30} -3.10566i q^{31} +(-0.500000 + 0.866025i) q^{32} +(2.06056 + 1.18966i) q^{33} +(-0.499820 + 0.865713i) q^{34} +(2.63080 + 0.861926i) q^{35} -1.00000 q^{36} +(-5.14008 - 3.25263i) q^{37} +8.20173i q^{38} +(-1.94336 + 1.12200i) q^{39} +(-2.18834 + 0.459547i) q^{40} +(4.36280 - 7.55659i) q^{41} +(-0.619032 + 1.07219i) q^{42} -6.26728 q^{43} +(-1.18966 + 2.06056i) q^{44} +(-1.49215 - 1.66538i) q^{45} +(-0.547828 - 0.948867i) q^{46} +6.29523i q^{47} -1.00000i q^{48} +(-2.73360 - 4.73473i) q^{49} +(-4.03064 - 2.95870i) q^{50} -0.999639i q^{51} +(-1.12200 - 1.94336i) q^{52} +(-10.0941 + 5.82782i) q^{53} +(0.866025 - 0.500000i) q^{54} +(-5.20677 + 1.09341i) q^{55} +(-1.07219 - 0.619032i) q^{56} +(-4.10087 - 7.10291i) q^{57} +(-4.95768 + 2.86232i) q^{58} +(1.06936 - 0.617394i) q^{59} +(1.66538 - 1.49215i) q^{60} +(-4.52224 - 2.61091i) q^{61} +(-2.68958 + 1.55283i) q^{62} -1.23806i q^{63} +1.00000 q^{64} +(1.56224 - 4.76833i) q^{65} -2.37933i q^{66} +(-1.63569 - 0.944369i) q^{67} +0.999639 q^{68} +(0.948867 + 0.547828i) q^{69} +(-0.568948 - 2.70930i) q^{70} +(2.46057 - 4.26184i) q^{71} +(0.500000 + 0.866025i) q^{72} -0.123967i q^{73} +(-0.246818 + 6.07775i) q^{74} +(4.96999 + 0.546992i) q^{75} +(7.10291 - 4.10087i) q^{76} +(-2.55110 - 1.47288i) q^{77} +(1.94336 + 1.12200i) q^{78} +(-13.2768 - 7.66536i) q^{79} +(1.49215 + 1.66538i) q^{80} +(-0.500000 + 0.866025i) q^{81} -8.72560 q^{82} +(6.36686 - 3.67591i) q^{83} +1.23806 q^{84} +(1.49161 + 1.66478i) q^{85} +(3.13364 + 5.42762i) q^{86} +(2.86232 - 4.95768i) q^{87} +2.37933 q^{88} +(0.869603 - 0.502066i) q^{89} +(-0.696189 + 2.12493i) q^{90} +(2.40600 - 1.38910i) q^{91} +(-0.547828 + 0.948867i) q^{92} +(1.55283 - 2.68958i) q^{93} +(5.45183 - 3.14762i) q^{94} +(17.4281 + 5.70996i) q^{95} +(-0.866025 + 0.500000i) q^{96} +5.95504 q^{97} +(-2.73360 + 4.73473i) q^{98} +(1.18966 + 2.06056i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −2.18834 + 0.459547i −0.978654 + 0.205516i
\(6\) 1.00000i 0.408248i
\(7\) −1.07219 0.619032i −0.405251 0.233972i 0.283496 0.958973i \(-0.408506\pi\)
−0.688747 + 0.725001i \(0.741839\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 1.49215 + 1.66538i 0.471858 + 0.526640i
\(11\) 2.37933 0.717394 0.358697 0.933454i \(-0.383221\pi\)
0.358697 + 0.933454i \(0.383221\pi\)
\(12\) −0.866025 + 0.500000i −0.250000 + 0.144338i
\(13\) −1.12200 + 1.94336i −0.311186 + 0.538990i −0.978619 0.205680i \(-0.934060\pi\)
0.667433 + 0.744670i \(0.267393\pi\)
\(14\) 1.23806i 0.330886i
\(15\) −2.12493 0.696189i −0.548654 0.179755i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −0.499820 0.865713i −0.121224 0.209966i 0.799027 0.601296i \(-0.205349\pi\)
−0.920251 + 0.391329i \(0.872015\pi\)
\(18\) 0.500000 0.866025i 0.117851 0.204124i
\(19\) −7.10291 4.10087i −1.62952 0.940803i −0.984236 0.176859i \(-0.943406\pi\)
−0.645283 0.763944i \(-0.723260\pi\)
\(20\) 0.696189 2.12493i 0.155673 0.475148i
\(21\) −0.619032 1.07219i −0.135084 0.233972i
\(22\) −1.18966 2.06056i −0.253637 0.439312i
\(23\) 1.09566 0.228460 0.114230 0.993454i \(-0.463560\pi\)
0.114230 + 0.993454i \(0.463560\pi\)
\(24\) 0.866025 + 0.500000i 0.176777 + 0.102062i
\(25\) 4.57763 2.01129i 0.915527 0.402257i
\(26\) 2.24399 0.440083
\(27\) 1.00000i 0.192450i
\(28\) 1.07219 0.619032i 0.202626 0.116986i
\(29\) 5.72463i 1.06304i −0.847047 0.531519i \(-0.821622\pi\)
0.847047 0.531519i \(-0.178378\pi\)
\(30\) 0.459547 + 2.18834i 0.0839014 + 0.399534i
\(31\) 3.10566i 0.557793i −0.960321 0.278897i \(-0.910031\pi\)
0.960321 0.278897i \(-0.0899687\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 2.06056 + 1.18966i 0.358697 + 0.207094i
\(34\) −0.499820 + 0.865713i −0.0857183 + 0.148469i
\(35\) 2.63080 + 0.861926i 0.444686 + 0.145692i
\(36\) −1.00000 −0.166667
\(37\) −5.14008 3.25263i −0.845024 0.534729i
\(38\) 8.20173i 1.33050i
\(39\) −1.94336 + 1.12200i −0.311186 + 0.179663i
\(40\) −2.18834 + 0.459547i −0.346006 + 0.0726607i
\(41\) 4.36280 7.55659i 0.681355 1.18014i −0.293213 0.956047i \(-0.594724\pi\)
0.974568 0.224094i \(-0.0719422\pi\)
\(42\) −0.619032 + 1.07219i −0.0955187 + 0.165443i
\(43\) −6.26728 −0.955751 −0.477876 0.878427i \(-0.658593\pi\)
−0.477876 + 0.878427i \(0.658593\pi\)
\(44\) −1.18966 + 2.06056i −0.179349 + 0.310641i
\(45\) −1.49215 1.66538i −0.222436 0.248260i
\(46\) −0.547828 0.948867i −0.0807729 0.139903i
\(47\) 6.29523i 0.918254i 0.888371 + 0.459127i \(0.151838\pi\)
−0.888371 + 0.459127i \(0.848162\pi\)
\(48\) 1.00000i 0.144338i
\(49\) −2.73360 4.73473i −0.390514 0.676390i
\(50\) −4.03064 2.95870i −0.570019 0.418424i
\(51\) 0.999639i 0.139977i
\(52\) −1.12200 1.94336i −0.155593 0.269495i
\(53\) −10.0941 + 5.82782i −1.38653 + 0.800512i −0.992922 0.118767i \(-0.962106\pi\)
−0.393606 + 0.919279i \(0.628772\pi\)
\(54\) 0.866025 0.500000i 0.117851 0.0680414i
\(55\) −5.20677 + 1.09341i −0.702081 + 0.147436i
\(56\) −1.07219 0.619032i −0.143278 0.0827216i
\(57\) −4.10087 7.10291i −0.543173 0.940803i
\(58\) −4.95768 + 2.86232i −0.650975 + 0.375840i
\(59\) 1.06936 0.617394i 0.139218 0.0803778i −0.428773 0.903412i \(-0.641054\pi\)
0.567991 + 0.823034i \(0.307721\pi\)
\(60\) 1.66538 1.49215i 0.215000 0.192635i
\(61\) −4.52224 2.61091i −0.579013 0.334293i 0.181728 0.983349i \(-0.441831\pi\)
−0.760741 + 0.649055i \(0.775164\pi\)
\(62\) −2.68958 + 1.55283i −0.341577 + 0.197210i
\(63\) 1.23806i 0.155981i
\(64\) 1.00000 0.125000
\(65\) 1.56224 4.76833i 0.193773 0.591438i
\(66\) 2.37933i 0.292875i
\(67\) −1.63569 0.944369i −0.199832 0.115373i 0.396745 0.917929i \(-0.370140\pi\)
−0.596577 + 0.802556i \(0.703473\pi\)
\(68\) 0.999639 0.121224
\(69\) 0.948867 + 0.547828i 0.114230 + 0.0659508i
\(70\) −0.568948 2.70930i −0.0680023 0.323823i
\(71\) 2.46057 4.26184i 0.292016 0.505787i −0.682270 0.731100i \(-0.739007\pi\)
0.974286 + 0.225313i \(0.0723405\pi\)
\(72\) 0.500000 + 0.866025i 0.0589256 + 0.102062i
\(73\) 0.123967i 0.0145092i −0.999974 0.00725459i \(-0.997691\pi\)
0.999974 0.00725459i \(-0.00230923\pi\)
\(74\) −0.246818 + 6.07775i −0.0286920 + 0.706524i
\(75\) 4.96999 + 0.546992i 0.573885 + 0.0631612i
\(76\) 7.10291 4.10087i 0.814759 0.470402i
\(77\) −2.55110 1.47288i −0.290725 0.167850i
\(78\) 1.94336 + 1.12200i 0.220042 + 0.127041i
\(79\) −13.2768 7.66536i −1.49376 0.862420i −0.493782 0.869586i \(-0.664386\pi\)
−0.999974 + 0.00716550i \(0.997719\pi\)
\(80\) 1.49215 + 1.66538i 0.166827 + 0.186195i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −8.72560 −0.963581
\(83\) 6.36686 3.67591i 0.698854 0.403483i −0.108067 0.994144i \(-0.534466\pi\)
0.806920 + 0.590660i \(0.201133\pi\)
\(84\) 1.23806 0.135084
\(85\) 1.49161 + 1.66478i 0.161788 + 0.180571i
\(86\) 3.13364 + 5.42762i 0.337909 + 0.585276i
\(87\) 2.86232 4.95768i 0.306872 0.531519i
\(88\) 2.37933 0.253637
\(89\) 0.869603 0.502066i 0.0921778 0.0532189i −0.453203 0.891408i \(-0.649719\pi\)
0.545380 + 0.838189i \(0.316385\pi\)
\(90\) −0.696189 + 2.12493i −0.0733848 + 0.223987i
\(91\) 2.40600 1.38910i 0.252217 0.145618i
\(92\) −0.547828 + 0.948867i −0.0571151 + 0.0989262i
\(93\) 1.55283 2.68958i 0.161021 0.278897i
\(94\) 5.45183 3.14762i 0.562313 0.324652i
\(95\) 17.4281 + 5.70996i 1.78808 + 0.585829i
\(96\) −0.866025 + 0.500000i −0.0883883 + 0.0510310i
\(97\) 5.95504 0.604643 0.302321 0.953206i \(-0.402238\pi\)
0.302321 + 0.953206i \(0.402238\pi\)
\(98\) −2.73360 + 4.73473i −0.276135 + 0.478280i
\(99\) 1.18966 + 2.06056i 0.119566 + 0.207094i
\(100\) −0.546992 + 4.96999i −0.0546992 + 0.496999i
\(101\) 4.28415 0.426288 0.213144 0.977021i \(-0.431630\pi\)
0.213144 + 0.977021i \(0.431630\pi\)
\(102\) −0.865713 + 0.499820i −0.0857183 + 0.0494895i
\(103\) 8.69905 0.857143 0.428572 0.903508i \(-0.359017\pi\)
0.428572 + 0.903508i \(0.359017\pi\)
\(104\) −1.12200 + 1.94336i −0.110021 + 0.190562i
\(105\) 1.84737 + 2.06185i 0.180285 + 0.201216i
\(106\) 10.0941 + 5.82782i 0.980423 + 0.566048i
\(107\) −7.24046 4.18028i −0.699962 0.404123i 0.107371 0.994219i \(-0.465757\pi\)
−0.807333 + 0.590096i \(0.799090\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) −7.48885 + 4.32369i −0.717302 + 0.414135i −0.813759 0.581203i \(-0.802582\pi\)
0.0964568 + 0.995337i \(0.469249\pi\)
\(110\) 3.55031 + 3.96249i 0.338509 + 0.377808i
\(111\) −2.82513 5.38690i −0.268149 0.511302i
\(112\) 1.23806i 0.116986i
\(113\) −5.72597 9.91767i −0.538654 0.932976i −0.998977 0.0452242i \(-0.985600\pi\)
0.460323 0.887751i \(-0.347734\pi\)
\(114\) −4.10087 + 7.10291i −0.384081 + 0.665248i
\(115\) −2.39767 + 0.503506i −0.223583 + 0.0469521i
\(116\) 4.95768 + 2.86232i 0.460309 + 0.265759i
\(117\) −2.24399 −0.207457
\(118\) −1.06936 0.617394i −0.0984423 0.0568357i
\(119\) 1.23762i 0.113452i
\(120\) −2.12493 0.696189i −0.193979 0.0635531i
\(121\) −5.33880 −0.485346
\(122\) 5.22183i 0.472762i
\(123\) 7.55659 4.36280i 0.681355 0.393380i
\(124\) 2.68958 + 1.55283i 0.241532 + 0.139448i
\(125\) −9.09312 + 6.50501i −0.813314 + 0.581826i
\(126\) −1.07219 + 0.619032i −0.0955187 + 0.0551477i
\(127\) −3.39135 + 1.95799i −0.300933 + 0.173744i −0.642862 0.765982i \(-0.722253\pi\)
0.341929 + 0.939726i \(0.388920\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −5.42762 3.13364i −0.477876 0.275902i
\(130\) −4.91061 + 1.03122i −0.430689 + 0.0904440i
\(131\) 2.74014 1.58202i 0.239407 0.138222i −0.375497 0.926823i \(-0.622528\pi\)
0.614904 + 0.788602i \(0.289195\pi\)
\(132\) −2.06056 + 1.18966i −0.179349 + 0.103547i
\(133\) 5.07713 + 8.79385i 0.440243 + 0.762524i
\(134\) 1.88874i 0.163162i
\(135\) −0.459547 2.18834i −0.0395515 0.188342i
\(136\) −0.499820 0.865713i −0.0428592 0.0742343i
\(137\) 8.45319i 0.722204i 0.932526 + 0.361102i \(0.117599\pi\)
−0.932526 + 0.361102i \(0.882401\pi\)
\(138\) 1.09566i 0.0932685i
\(139\) −0.500249 0.866457i −0.0424306 0.0734919i 0.844030 0.536296i \(-0.180177\pi\)
−0.886461 + 0.462804i \(0.846843\pi\)
\(140\) −2.06185 + 1.84737i −0.174258 + 0.156132i
\(141\) −3.14762 + 5.45183i −0.265077 + 0.459127i
\(142\) −4.92115 −0.412973
\(143\) −2.66960 + 4.62388i −0.223243 + 0.386668i
\(144\) 0.500000 0.866025i 0.0416667 0.0721688i
\(145\) 2.63074 + 12.5274i 0.218471 + 1.04035i
\(146\) −0.107358 + 0.0619833i −0.00888502 + 0.00512977i
\(147\) 5.46720i 0.450927i
\(148\) 5.38690 2.82513i 0.442800 0.232224i
\(149\) 22.8315 1.87043 0.935216 0.354076i \(-0.115205\pi\)
0.935216 + 0.354076i \(0.115205\pi\)
\(150\) −2.01129 4.57763i −0.164221 0.373762i
\(151\) −5.98037 + 10.3583i −0.486676 + 0.842947i −0.999883 0.0153178i \(-0.995124\pi\)
0.513207 + 0.858265i \(0.328457\pi\)
\(152\) −7.10291 4.10087i −0.576122 0.332624i
\(153\) 0.499820 0.865713i 0.0404080 0.0699887i
\(154\) 2.94576i 0.237376i
\(155\) 1.42720 + 6.79623i 0.114635 + 0.545886i
\(156\) 2.24399i 0.179663i
\(157\) −12.5430 + 7.24170i −1.00104 + 0.577951i −0.908556 0.417763i \(-0.862814\pi\)
−0.0924842 + 0.995714i \(0.529481\pi\)
\(158\) 15.3307i 1.21965i
\(159\) −11.6556 −0.924352
\(160\) 0.696189 2.12493i 0.0550386 0.167990i
\(161\) −1.17476 0.678246i −0.0925838 0.0534533i
\(162\) 1.00000 0.0785674
\(163\) −6.02844 10.4416i −0.472184 0.817847i 0.527309 0.849673i \(-0.323201\pi\)
−0.999493 + 0.0318265i \(0.989868\pi\)
\(164\) 4.36280 + 7.55659i 0.340677 + 0.590071i
\(165\) −5.05590 1.65646i −0.393601 0.128955i
\(166\) −6.36686 3.67591i −0.494164 0.285306i
\(167\) 3.98320 6.89910i 0.308229 0.533869i −0.669746 0.742590i \(-0.733597\pi\)
0.977975 + 0.208722i \(0.0669303\pi\)
\(168\) −0.619032 1.07219i −0.0477593 0.0827216i
\(169\) 3.98224 + 6.89745i 0.306327 + 0.530573i
\(170\) 0.695938 2.12416i 0.0533760 0.162916i
\(171\) 8.20173i 0.627202i
\(172\) 3.13364 5.42762i 0.238938 0.413852i
\(173\) 19.4302 11.2180i 1.47725 0.852890i 0.477579 0.878589i \(-0.341514\pi\)
0.999670 + 0.0256988i \(0.00818109\pi\)
\(174\) −5.72463 −0.433983
\(175\) −6.15316 0.677211i −0.465135 0.0511923i
\(176\) −1.18966 2.06056i −0.0896743 0.155320i
\(177\) 1.23479 0.0928123
\(178\) −0.869603 0.502066i −0.0651795 0.0376314i
\(179\) 20.9665i 1.56711i 0.621321 + 0.783556i \(0.286596\pi\)
−0.621321 + 0.783556i \(0.713404\pi\)
\(180\) 2.18834 0.459547i 0.163109 0.0342526i
\(181\) 2.90937 5.03918i 0.216252 0.374560i −0.737407 0.675449i \(-0.763950\pi\)
0.953659 + 0.300889i \(0.0972834\pi\)
\(182\) −2.40600 1.38910i −0.178344 0.102967i
\(183\) −2.61091 4.52224i −0.193004 0.334293i
\(184\) 1.09566 0.0807729
\(185\) 12.7430 + 4.75574i 0.936881 + 0.349649i
\(186\) −3.10566 −0.227718
\(187\) −1.18923 2.05981i −0.0869654 0.150629i
\(188\) −5.45183 3.14762i −0.397616 0.229563i
\(189\) 0.619032 1.07219i 0.0450279 0.0779907i
\(190\) −3.76908 17.9481i −0.273438 1.30210i
\(191\) 22.1872i 1.60541i 0.596377 + 0.802704i \(0.296606\pi\)
−0.596377 + 0.802704i \(0.703394\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) 24.2611 1.74635 0.873176 0.487405i \(-0.162056\pi\)
0.873176 + 0.487405i \(0.162056\pi\)
\(194\) −2.97752 5.15722i −0.213774 0.370267i
\(195\) 3.73711 3.34837i 0.267620 0.239782i
\(196\) 5.46720 0.390514
\(197\) −14.7868 + 8.53718i −1.05352 + 0.608249i −0.923632 0.383280i \(-0.874794\pi\)
−0.129886 + 0.991529i \(0.541461\pi\)
\(198\) 1.18966 2.06056i 0.0845457 0.146437i
\(199\) 3.69947i 0.262248i −0.991366 0.131124i \(-0.958141\pi\)
0.991366 0.131124i \(-0.0418586\pi\)
\(200\) 4.57763 2.01129i 0.323688 0.142219i
\(201\) −0.944369 1.63569i −0.0666106 0.115373i
\(202\) −2.14207 3.71018i −0.150716 0.261047i
\(203\) −3.54373 + 6.13792i −0.248721 + 0.430797i
\(204\) 0.865713 + 0.499820i 0.0606120 + 0.0349944i
\(205\) −6.07467 + 18.5413i −0.424273 + 1.29498i
\(206\) −4.34953 7.53360i −0.303046 0.524891i
\(207\) 0.547828 + 0.948867i 0.0380767 + 0.0659508i
\(208\) 2.24399 0.155593
\(209\) −16.9001 9.75730i −1.16901 0.674927i
\(210\) 0.861926 2.63080i 0.0594786 0.181542i
\(211\) −1.25592 −0.0864614 −0.0432307 0.999065i \(-0.513765\pi\)
−0.0432307 + 0.999065i \(0.513765\pi\)
\(212\) 11.6556i 0.800512i
\(213\) 4.26184 2.46057i 0.292016 0.168596i
\(214\) 8.36056i 0.571516i
\(215\) 13.7149 2.88011i 0.935350 0.196422i
\(216\) 1.00000i 0.0680414i
\(217\) −1.92250 + 3.32987i −0.130508 + 0.226047i
\(218\) 7.48885 + 4.32369i 0.507209 + 0.292837i
\(219\) 0.0619833 0.107358i 0.00418844 0.00725459i
\(220\) 1.65646 5.05590i 0.111679 0.340869i
\(221\) 2.24318 0.150893
\(222\) −3.25263 + 5.14008i −0.218302 + 0.344980i
\(223\) 2.60823i 0.174660i 0.996179 + 0.0873300i \(0.0278335\pi\)
−0.996179 + 0.0873300i \(0.972167\pi\)
\(224\) 1.07219 0.619032i 0.0716390 0.0413608i
\(225\) 4.03064 + 2.95870i 0.268709 + 0.197247i
\(226\) −5.72597 + 9.91767i −0.380886 + 0.659713i
\(227\) 3.45993 5.99277i 0.229643 0.397754i −0.728059 0.685514i \(-0.759577\pi\)
0.957702 + 0.287760i \(0.0929107\pi\)
\(228\) 8.20173 0.543173
\(229\) 4.10971 7.11822i 0.271577 0.470386i −0.697689 0.716401i \(-0.745788\pi\)
0.969266 + 0.246016i \(0.0791214\pi\)
\(230\) 1.63488 + 1.82469i 0.107801 + 0.120316i
\(231\) −1.47288 2.55110i −0.0969083 0.167850i
\(232\) 5.72463i 0.375840i
\(233\) 21.4026i 1.40213i 0.713097 + 0.701065i \(0.247292\pi\)
−0.713097 + 0.701065i \(0.752708\pi\)
\(234\) 1.12200 + 1.94336i 0.0733472 + 0.127041i
\(235\) −2.89295 13.7761i −0.188715 0.898653i
\(236\) 1.23479i 0.0803778i
\(237\) −7.66536 13.2768i −0.497919 0.862420i
\(238\) 1.07181 0.618808i 0.0694750 0.0401114i
\(239\) −14.7756 + 8.53068i −0.955752 + 0.551804i −0.894863 0.446341i \(-0.852727\pi\)
−0.0608893 + 0.998145i \(0.519394\pi\)
\(240\) 0.459547 + 2.18834i 0.0296636 + 0.141257i
\(241\) 14.1835 + 8.18883i 0.913637 + 0.527489i 0.881600 0.471998i \(-0.156467\pi\)
0.0320375 + 0.999487i \(0.489800\pi\)
\(242\) 2.66940 + 4.62354i 0.171596 + 0.297212i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 4.52224 2.61091i 0.289507 0.167147i
\(245\) 8.15787 + 9.10497i 0.521187 + 0.581695i
\(246\) −7.55659 4.36280i −0.481791 0.278162i
\(247\) 15.9389 9.20232i 1.01417 0.585530i
\(248\) 3.10566i 0.197210i
\(249\) 7.35182 0.465903
\(250\) 10.1801 + 4.62237i 0.643844 + 0.292344i
\(251\) 21.4733i 1.35539i −0.735345 0.677693i \(-0.762980\pi\)
0.735345 0.677693i \(-0.237020\pi\)
\(252\) 1.07219 + 0.619032i 0.0675419 + 0.0389953i
\(253\) 2.60693 0.163896
\(254\) 3.39135 + 1.95799i 0.212792 + 0.122855i
\(255\) 0.459381 + 2.18755i 0.0287675 + 0.136989i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 0.119612 + 0.207174i 0.00746119 + 0.0129232i 0.869732 0.493524i \(-0.164292\pi\)
−0.862271 + 0.506448i \(0.830958\pi\)
\(258\) 6.26728i 0.390184i
\(259\) 3.49769 + 6.66932i 0.217336 + 0.414411i
\(260\) 3.34837 + 3.73711i 0.207657 + 0.231766i
\(261\) 4.95768 2.86232i 0.306872 0.177173i
\(262\) −2.74014 1.58202i −0.169286 0.0977374i
\(263\) −24.2624 14.0079i −1.49608 0.863765i −0.496095 0.868269i \(-0.665233\pi\)
−0.999990 + 0.00450381i \(0.998566\pi\)
\(264\) 2.06056 + 1.18966i 0.126819 + 0.0732187i
\(265\) 19.4111 17.3919i 1.19241 1.06838i
\(266\) 5.07713 8.79385i 0.311299 0.539186i
\(267\) 1.00413 0.0614519
\(268\) 1.63569 0.944369i 0.0999160 0.0576865i
\(269\) 14.1365 0.861915 0.430958 0.902372i \(-0.358176\pi\)
0.430958 + 0.902372i \(0.358176\pi\)
\(270\) −1.66538 + 1.49215i −0.101352 + 0.0908092i
\(271\) 13.6113 + 23.5755i 0.826828 + 1.43211i 0.900515 + 0.434826i \(0.143190\pi\)
−0.0736871 + 0.997281i \(0.523477\pi\)
\(272\) −0.499820 + 0.865713i −0.0303060 + 0.0524916i
\(273\) 2.77821 0.168145
\(274\) 7.32067 4.22659i 0.442258 0.255338i
\(275\) 10.8917 4.78551i 0.656794 0.288577i
\(276\) −0.948867 + 0.547828i −0.0571151 + 0.0329754i
\(277\) −11.9667 + 20.7270i −0.719012 + 1.24537i 0.242380 + 0.970181i \(0.422072\pi\)
−0.961392 + 0.275184i \(0.911261\pi\)
\(278\) −0.500249 + 0.866457i −0.0300030 + 0.0519667i
\(279\) 2.68958 1.55283i 0.161021 0.0929655i
\(280\) 2.63080 + 0.861926i 0.157220 + 0.0515100i
\(281\) 12.8178 7.40036i 0.764646 0.441469i −0.0663152 0.997799i \(-0.521124\pi\)
0.830961 + 0.556330i \(0.187791\pi\)
\(282\) 6.29523 0.374876
\(283\) 14.9913 25.9658i 0.891143 1.54351i 0.0526364 0.998614i \(-0.483238\pi\)
0.838507 0.544891i \(-0.183429\pi\)
\(284\) 2.46057 + 4.26184i 0.146008 + 0.252894i
\(285\) 12.2382 + 13.6590i 0.724928 + 0.809090i
\(286\) 5.33920 0.315713
\(287\) −9.35554 + 5.40142i −0.552240 + 0.318836i
\(288\) −1.00000 −0.0589256
\(289\) 8.00036 13.8570i 0.470609 0.815119i
\(290\) 9.53370 8.54199i 0.559838 0.501603i
\(291\) 5.15722 + 2.97752i 0.302321 + 0.174545i
\(292\) 0.107358 + 0.0619833i 0.00628266 + 0.00362730i
\(293\) −11.3931 6.57779i −0.665590 0.384279i 0.128813 0.991669i \(-0.458883\pi\)
−0.794404 + 0.607390i \(0.792217\pi\)
\(294\) −4.73473 + 2.73360i −0.276135 + 0.159427i
\(295\) −2.05639 + 1.84248i −0.119728 + 0.107274i
\(296\) −5.14008 3.25263i −0.298761 0.189055i
\(297\) 2.37933i 0.138063i
\(298\) −11.4158 19.7727i −0.661298 1.14540i
\(299\) −1.22932 + 2.12925i −0.0710936 + 0.123138i
\(300\) −2.95870 + 4.03064i −0.170821 + 0.232709i
\(301\) 6.71974 + 3.87965i 0.387320 + 0.223619i
\(302\) 11.9607 0.688263
\(303\) 3.71018 + 2.14207i 0.213144 + 0.123059i
\(304\) 8.20173i 0.470402i
\(305\) 11.0960 + 3.63538i 0.635356 + 0.208161i
\(306\) −0.999639 −0.0571456
\(307\) 11.1634i 0.637128i −0.947901 0.318564i \(-0.896799\pi\)
0.947901 0.318564i \(-0.103201\pi\)
\(308\) 2.55110 1.47288i 0.145363 0.0839251i
\(309\) 7.53360 + 4.34953i 0.428572 + 0.247436i
\(310\) 5.17211 4.63410i 0.293756 0.263199i
\(311\) −22.1416 + 12.7835i −1.25554 + 0.724884i −0.972203 0.234138i \(-0.924773\pi\)
−0.283332 + 0.959022i \(0.591440\pi\)
\(312\) −1.94336 + 1.12200i −0.110021 + 0.0635206i
\(313\) −1.00387 1.73875i −0.0567420 0.0982800i 0.836259 0.548334i \(-0.184738\pi\)
−0.893001 + 0.450054i \(0.851405\pi\)
\(314\) 12.5430 + 7.24170i 0.707842 + 0.408673i
\(315\) 0.568948 + 2.70930i 0.0320566 + 0.152652i
\(316\) 13.2768 7.66536i 0.746878 0.431210i
\(317\) 0.127184 0.0734298i 0.00714337 0.00412423i −0.496424 0.868080i \(-0.665354\pi\)
0.503567 + 0.863956i \(0.332021\pi\)
\(318\) 5.82782 + 10.0941i 0.326808 + 0.566048i
\(319\) 13.6208i 0.762617i
\(320\) −2.18834 + 0.459547i −0.122332 + 0.0256894i
\(321\) −4.18028 7.24046i −0.233321 0.404123i
\(322\) 1.35649i 0.0755944i
\(323\) 8.19877i 0.456192i
\(324\) −0.500000 0.866025i −0.0277778 0.0481125i
\(325\) −1.22745 + 11.1526i −0.0680865 + 0.618637i
\(326\) −6.02844 + 10.4416i −0.333885 + 0.578305i
\(327\) −8.64738 −0.478201
\(328\) 4.36280 7.55659i 0.240895 0.417243i
\(329\) 3.89695 6.74971i 0.214846 0.372124i
\(330\) 1.09341 + 5.20677i 0.0601904 + 0.286623i
\(331\) −8.53127 + 4.92553i −0.468921 + 0.270732i −0.715788 0.698318i \(-0.753932\pi\)
0.246867 + 0.969049i \(0.420599\pi\)
\(332\) 7.35182i 0.403483i
\(333\) 0.246818 6.07775i 0.0135255 0.333059i
\(334\) −7.96640 −0.435902
\(335\) 4.01343 + 1.31492i 0.219277 + 0.0718417i
\(336\) −0.619032 + 1.07219i −0.0337710 + 0.0584930i
\(337\) −9.95412 5.74702i −0.542236 0.313060i 0.203749 0.979023i \(-0.434687\pi\)
−0.745985 + 0.665963i \(0.768021\pi\)
\(338\) 3.98224 6.89745i 0.216606 0.375172i
\(339\) 11.4519i 0.621984i
\(340\) −2.18755 + 0.459381i −0.118636 + 0.0249134i
\(341\) 7.38938i 0.400158i
\(342\) −7.10291 + 4.10087i −0.384081 + 0.221749i
\(343\) 15.4352i 0.833422i
\(344\) −6.26728 −0.337909
\(345\) −2.32819 0.762784i −0.125346 0.0410669i
\(346\) −19.4302 11.2180i −1.04457 0.603084i
\(347\) −3.73796 −0.200664 −0.100332 0.994954i \(-0.531991\pi\)
−0.100332 + 0.994954i \(0.531991\pi\)
\(348\) 2.86232 + 4.95768i 0.153436 + 0.265759i
\(349\) −13.6535 23.6486i −0.730857 1.26588i −0.956517 0.291676i \(-0.905787\pi\)
0.225660 0.974206i \(-0.427546\pi\)
\(350\) 2.49010 + 5.66740i 0.133101 + 0.302935i
\(351\) −1.94336 1.12200i −0.103729 0.0598878i
\(352\) −1.18966 + 2.06056i −0.0634093 + 0.109828i
\(353\) 17.7727 + 30.7832i 0.945946 + 1.63843i 0.753846 + 0.657052i \(0.228197\pi\)
0.192100 + 0.981375i \(0.438470\pi\)
\(354\) −0.617394 1.06936i −0.0328141 0.0568357i
\(355\) −3.42605 + 10.4571i −0.181836 + 0.555004i
\(356\) 1.00413i 0.0532189i
\(357\) −0.618808 + 1.07181i −0.0327508 + 0.0567261i
\(358\) 18.1576 10.4833i 0.959656 0.554058i
\(359\) 15.8548 0.836786 0.418393 0.908266i \(-0.362593\pi\)
0.418393 + 0.908266i \(0.362593\pi\)
\(360\) −1.49215 1.66538i −0.0786431 0.0877733i
\(361\) 24.1342 + 41.8017i 1.27022 + 2.20009i
\(362\) −5.81875 −0.305827
\(363\) −4.62354 2.66940i −0.242673 0.140107i
\(364\) 2.77821i 0.145618i
\(365\) 0.0569684 + 0.271280i 0.00298186 + 0.0141995i
\(366\) −2.61091 + 4.52224i −0.136475 + 0.236381i
\(367\) −15.4393 8.91388i −0.805925 0.465301i 0.0396140 0.999215i \(-0.487387\pi\)
−0.845539 + 0.533914i \(0.820720\pi\)
\(368\) −0.547828 0.948867i −0.0285575 0.0494631i
\(369\) 8.72560 0.454237
\(370\) −2.25289 13.4136i −0.117122 0.697340i
\(371\) 14.4304 0.749190
\(372\) 1.55283 + 2.68958i 0.0805105 + 0.139448i
\(373\) 4.77639 + 2.75765i 0.247312 + 0.142786i 0.618533 0.785759i \(-0.287727\pi\)
−0.371221 + 0.928545i \(0.621061\pi\)
\(374\) −1.18923 + 2.05981i −0.0614938 + 0.106510i
\(375\) −11.1274 + 1.08694i −0.574615 + 0.0561293i
\(376\) 6.29523i 0.324652i
\(377\) 11.1250 + 6.42302i 0.572966 + 0.330802i
\(378\) −1.23806 −0.0636791
\(379\) −0.979562 1.69665i −0.0503167 0.0871511i 0.839770 0.542942i \(-0.182690\pi\)
−0.890087 + 0.455791i \(0.849356\pi\)
\(380\) −13.6590 + 12.2382i −0.700693 + 0.627806i
\(381\) −3.91599 −0.200622
\(382\) 19.2147 11.0936i 0.983108 0.567598i
\(383\) 1.30790 2.26536i 0.0668308 0.115754i −0.830674 0.556759i \(-0.812045\pi\)
0.897505 + 0.441005i \(0.145378\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) 6.25953 + 2.05081i 0.319015 + 0.104519i
\(386\) −12.1306 21.0107i −0.617429 1.06942i
\(387\) −3.13364 5.42762i −0.159292 0.275902i
\(388\) −2.97752 + 5.15722i −0.151161 + 0.261818i
\(389\) −6.26174 3.61522i −0.317483 0.183299i 0.332787 0.943002i \(-0.392011\pi\)
−0.650270 + 0.759703i \(0.725344\pi\)
\(390\) −4.76833 1.56224i −0.241454 0.0791073i
\(391\) −0.547631 0.948524i −0.0276949 0.0479689i
\(392\) −2.73360 4.73473i −0.138068 0.239140i
\(393\) 3.16404 0.159605
\(394\) 14.7868 + 8.53718i 0.744950 + 0.430097i
\(395\) 32.5767 + 10.6731i 1.63911 + 0.537021i
\(396\) −2.37933 −0.119566
\(397\) 3.16094i 0.158643i −0.996849 0.0793216i \(-0.974725\pi\)
0.996849 0.0793216i \(-0.0252754\pi\)
\(398\) −3.20383 + 1.84973i −0.160594 + 0.0927188i
\(399\) 10.1543i 0.508349i
\(400\) −4.03064 2.95870i −0.201532 0.147935i
\(401\) 13.9479i 0.696524i −0.937397 0.348262i \(-0.886772\pi\)
0.937397 0.348262i \(-0.113228\pi\)
\(402\) −0.944369 + 1.63569i −0.0471008 + 0.0815810i
\(403\) 6.03541 + 3.48454i 0.300645 + 0.173577i
\(404\) −2.14207 + 3.71018i −0.106572 + 0.184588i
\(405\) 0.696189 2.12493i 0.0345939 0.105589i
\(406\) 7.08746 0.351745
\(407\) −12.2299 7.73906i −0.606215 0.383611i
\(408\) 0.999639i 0.0494895i
\(409\) 0.511337 0.295220i 0.0252840 0.0145977i −0.487305 0.873232i \(-0.662020\pi\)
0.512589 + 0.858634i \(0.328687\pi\)
\(410\) 19.0945 4.00982i 0.943012 0.198031i
\(411\) −4.22659 + 7.32067i −0.208482 + 0.361102i
\(412\) −4.34953 + 7.53360i −0.214286 + 0.371154i
\(413\) −1.52875 −0.0752246
\(414\) 0.547828 0.948867i 0.0269243 0.0466343i
\(415\) −12.2436 + 10.9700i −0.601014 + 0.538496i
\(416\) −1.12200 1.94336i −0.0550104 0.0952809i
\(417\) 1.00050i 0.0489946i
\(418\) 19.5146i 0.954490i
\(419\) −5.94109 10.2903i −0.290241 0.502712i 0.683625 0.729833i \(-0.260402\pi\)
−0.973867 + 0.227121i \(0.927069\pi\)
\(420\) −2.70930 + 0.568948i −0.132200 + 0.0277618i
\(421\) 36.7548i 1.79132i 0.444743 + 0.895658i \(0.353295\pi\)
−0.444743 + 0.895658i \(0.646705\pi\)
\(422\) 0.627962 + 1.08766i 0.0305687 + 0.0529466i
\(423\) −5.45183 + 3.14762i −0.265077 + 0.153042i
\(424\) −10.0941 + 5.82782i −0.490212 + 0.283024i
\(425\) −4.02919 2.95764i −0.195444 0.143466i
\(426\) −4.26184 2.46057i −0.206487 0.119215i
\(427\) 3.23248 + 5.59882i 0.156431 + 0.270946i
\(428\) 7.24046 4.18028i 0.349981 0.202062i
\(429\) −4.62388 + 2.66960i −0.223243 + 0.128889i
\(430\) −9.35171 10.4374i −0.450979 0.503337i
\(431\) −11.2708 6.50722i −0.542897 0.313442i 0.203355 0.979105i \(-0.434815\pi\)
−0.746252 + 0.665663i \(0.768149\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 13.0035i 0.624910i −0.949933 0.312455i \(-0.898849\pi\)
0.949933 0.312455i \(-0.101151\pi\)
\(434\) 3.84501 0.184566
\(435\) −3.98543 + 12.1644i −0.191087 + 0.583240i
\(436\) 8.64738i 0.414135i
\(437\) −7.78235 4.49314i −0.372280 0.214936i
\(438\) −0.123967 −0.00592335
\(439\) −7.58476 4.37906i −0.362001 0.209001i 0.307957 0.951400i \(-0.400355\pi\)
−0.669958 + 0.742399i \(0.733688\pi\)
\(440\) −5.20677 + 1.09341i −0.248223 + 0.0521264i
\(441\) 2.73360 4.73473i 0.130171 0.225463i
\(442\) −1.12159 1.94265i −0.0533487 0.0924027i
\(443\) 5.44946i 0.258912i −0.991585 0.129456i \(-0.958677\pi\)
0.991585 0.129456i \(-0.0413230\pi\)
\(444\) 6.07775 + 0.246818i 0.288437 + 0.0117135i
\(445\) −1.67226 + 1.49831i −0.0792728 + 0.0710268i
\(446\) 2.25879 1.30412i 0.106957 0.0617517i
\(447\) 19.7727 + 11.4158i 0.935216 + 0.539947i
\(448\) −1.07219 0.619032i −0.0506564 0.0292465i
\(449\) −8.97982 5.18450i −0.423784 0.244672i 0.272911 0.962039i \(-0.412013\pi\)
−0.696695 + 0.717368i \(0.745347\pi\)
\(450\) 0.546992 4.96999i 0.0257855 0.234288i
\(451\) 10.3805 17.9796i 0.488800 0.846626i
\(452\) 11.4519 0.538654
\(453\) −10.3583 + 5.98037i −0.486676 + 0.280982i
\(454\) −6.91985 −0.324765
\(455\) −4.62678 + 4.14550i −0.216907 + 0.194344i
\(456\) −4.10087 7.10291i −0.192041 0.332624i
\(457\) 5.58456 9.67274i 0.261235 0.452472i −0.705336 0.708873i \(-0.749204\pi\)
0.966570 + 0.256402i \(0.0825370\pi\)
\(458\) −8.21942 −0.384068
\(459\) 0.865713 0.499820i 0.0404080 0.0233296i
\(460\) 0.762784 2.32819i 0.0355650 0.108553i
\(461\) −20.0478 + 11.5746i −0.933718 + 0.539082i −0.887986 0.459871i \(-0.847896\pi\)
−0.0457325 + 0.998954i \(0.514562\pi\)
\(462\) −1.47288 + 2.55110i −0.0685245 + 0.118688i
\(463\) −1.70132 + 2.94678i −0.0790672 + 0.136948i −0.902848 0.429960i \(-0.858528\pi\)
0.823781 + 0.566909i \(0.191861\pi\)
\(464\) −4.95768 + 2.86232i −0.230154 + 0.132880i
\(465\) −2.16213 + 6.59931i −0.100266 + 0.306036i
\(466\) 18.5352 10.7013i 0.858626 0.495728i
\(467\) −9.08042 −0.420192 −0.210096 0.977681i \(-0.567378\pi\)
−0.210096 + 0.977681i \(0.567378\pi\)
\(468\) 1.12200 1.94336i 0.0518643 0.0898317i
\(469\) 1.16919 + 2.02509i 0.0539881 + 0.0935102i
\(470\) −10.4840 + 9.39341i −0.483589 + 0.433286i
\(471\) −14.4834 −0.667360
\(472\) 1.06936 0.617394i 0.0492212 0.0284178i
\(473\) −14.9119 −0.685650
\(474\) −7.66536 + 13.2768i −0.352082 + 0.609823i
\(475\) −40.7625 4.48628i −1.87031 0.205845i
\(476\) −1.07181 0.618808i −0.0491262 0.0283630i
\(477\) −10.0941 5.82782i −0.462176 0.266837i
\(478\) 14.7756 + 8.53068i 0.675819 + 0.390184i
\(479\) 28.3565 16.3716i 1.29564 0.748038i 0.315992 0.948762i \(-0.397663\pi\)
0.979648 + 0.200724i \(0.0643295\pi\)
\(480\) 1.66538 1.49215i 0.0760139 0.0681069i
\(481\) 12.0882 6.33957i 0.551173 0.289059i
\(482\) 16.3777i 0.745982i
\(483\) −0.678246 1.17476i −0.0308613 0.0534533i
\(484\) 2.66940 4.62354i 0.121336 0.210161i
\(485\) −13.0316 + 2.73662i −0.591736 + 0.124263i
\(486\) 0.866025 + 0.500000i 0.0392837 + 0.0226805i
\(487\) −8.57654 −0.388640 −0.194320 0.980938i \(-0.562250\pi\)
−0.194320 + 0.980938i \(0.562250\pi\)
\(488\) −4.52224 2.61091i −0.204712 0.118191i
\(489\) 12.0569i 0.545231i
\(490\) 3.80620 11.6174i 0.171947 0.524821i
\(491\) −38.2338 −1.72547 −0.862733 0.505660i \(-0.831249\pi\)
−0.862733 + 0.505660i \(0.831249\pi\)
\(492\) 8.72560i 0.393380i
\(493\) −4.95589 + 2.86128i −0.223202 + 0.128866i
\(494\) −15.9389 9.20232i −0.717124 0.414032i
\(495\) −3.55031 3.96249i −0.159574 0.178101i
\(496\) −2.68958 + 1.55283i −0.120766 + 0.0697242i
\(497\) −5.27643 + 3.04635i −0.236680 + 0.136647i
\(498\) −3.67591 6.36686i −0.164721 0.285306i
\(499\) −13.6781 7.89704i −0.612315 0.353520i 0.161556 0.986864i \(-0.448349\pi\)
−0.773871 + 0.633343i \(0.781682\pi\)
\(500\) −1.08694 11.1274i −0.0486094 0.497632i
\(501\) 6.89910 3.98320i 0.308229 0.177956i
\(502\) −18.5965 + 10.7367i −0.830001 + 0.479201i
\(503\) −13.6766 23.6886i −0.609809 1.05622i −0.991272 0.131836i \(-0.957913\pi\)
0.381462 0.924384i \(-0.375421\pi\)
\(504\) 1.23806i 0.0551477i
\(505\) −9.37515 + 1.96876i −0.417189 + 0.0876089i
\(506\) −1.30346 2.25766i −0.0579460 0.100365i
\(507\) 7.96449i 0.353715i
\(508\) 3.91599i 0.173744i
\(509\) 7.38847 + 12.7972i 0.327488 + 0.567226i 0.982013 0.188815i \(-0.0604645\pi\)
−0.654525 + 0.756041i \(0.727131\pi\)
\(510\) 1.66478 1.49161i 0.0737177 0.0660496i
\(511\) −0.0767392 + 0.132916i −0.00339474 + 0.00587987i
\(512\) 1.00000 0.0441942
\(513\) 4.10087 7.10291i 0.181058 0.313601i
\(514\) 0.119612 0.207174i 0.00527586 0.00913806i
\(515\) −19.0365 + 3.99762i −0.838846 + 0.176156i
\(516\) 5.42762 3.13364i 0.238938 0.137951i
\(517\) 14.9784i 0.658750i
\(518\) 4.02696 6.36375i 0.176934 0.279607i
\(519\) 22.4360 0.984832
\(520\) 1.56224 4.76833i 0.0685089 0.209105i
\(521\) 18.3365 31.7597i 0.803335 1.39142i −0.114075 0.993472i \(-0.536390\pi\)
0.917409 0.397945i \(-0.130276\pi\)
\(522\) −4.95768 2.86232i −0.216992 0.125280i
\(523\) −8.03277 + 13.9132i −0.351249 + 0.608381i −0.986469 0.163951i \(-0.947576\pi\)
0.635220 + 0.772331i \(0.280910\pi\)
\(524\) 3.16404i 0.138222i
\(525\) −4.99019 3.66306i −0.217790 0.159869i
\(526\) 28.0158i 1.22155i
\(527\) −2.68861 + 1.55227i −0.117118 + 0.0676180i
\(528\) 2.37933i 0.103547i
\(529\) −21.7995 −0.947806
\(530\) −24.7674 8.11452i −1.07583 0.352472i
\(531\) 1.06936 + 0.617394i 0.0464061 + 0.0267926i
\(532\) −10.1543 −0.440243
\(533\) 9.79010 + 16.9569i 0.424056 + 0.734487i
\(534\) −0.502066 0.869603i −0.0217265 0.0376314i
\(535\) 17.7656 + 5.82053i 0.768074 + 0.251644i
\(536\) −1.63569 0.944369i −0.0706513 0.0407905i
\(537\) −10.4833 + 18.1576i −0.452386 + 0.783556i
\(538\) −7.06823 12.2425i −0.304733 0.527813i
\(539\) −6.50413 11.2655i −0.280153 0.485239i
\(540\) 2.12493 + 0.696189i 0.0914424 + 0.0299592i
\(541\) 6.40179i 0.275234i 0.990485 + 0.137617i \(0.0439444\pi\)
−0.990485 + 0.137617i \(0.956056\pi\)
\(542\) 13.6113 23.5755i 0.584655 1.01265i
\(543\) 5.03918 2.90937i 0.216252 0.124853i
\(544\) 0.999639 0.0428592
\(545\) 14.4012 12.9032i 0.616879 0.552711i
\(546\) −1.38910 2.40600i −0.0594482 0.102967i
\(547\) −23.8504 −1.01977 −0.509884 0.860243i \(-0.670312\pi\)
−0.509884 + 0.860243i \(0.670312\pi\)
\(548\) −7.32067 4.22659i −0.312724 0.180551i
\(549\) 5.22183i 0.222862i
\(550\) −9.59022 7.03973i −0.408928 0.300175i
\(551\) −23.4759 + 40.6615i −1.00011 + 1.73224i
\(552\) 0.948867 + 0.547828i 0.0403864 + 0.0233171i
\(553\) 9.49020 + 16.4375i 0.403564 + 0.698994i
\(554\) 23.9335 1.01684
\(555\) 8.65786 + 10.4901i 0.367506 + 0.445279i
\(556\) 1.00050 0.0424306
\(557\) −10.5226 18.2256i −0.445856 0.772245i 0.552256 0.833675i \(-0.313767\pi\)
−0.998111 + 0.0614299i \(0.980434\pi\)
\(558\) −2.68958 1.55283i −0.113859 0.0657366i
\(559\) 7.03187 12.1796i 0.297416 0.515140i
\(560\) −0.568948 2.70930i −0.0240424 0.114489i
\(561\) 2.37847i 0.100419i
\(562\) −12.8178 7.40036i −0.540687 0.312166i
\(563\) −25.0957 −1.05766 −0.528828 0.848729i \(-0.677368\pi\)
−0.528828 + 0.848729i \(0.677368\pi\)
\(564\) −3.14762 5.45183i −0.132539 0.229563i
\(565\) 17.0880 + 19.0718i 0.718897 + 0.802359i
\(566\) −29.9827 −1.26027
\(567\) 1.07219 0.619032i 0.0450279 0.0259969i
\(568\) 2.46057 4.26184i 0.103243 0.178823i
\(569\) 16.9057i 0.708723i −0.935108 0.354362i \(-0.884698\pi\)
0.935108 0.354362i \(-0.115302\pi\)
\(570\) 5.70996 17.4281i 0.239164 0.729982i
\(571\) −13.7384 23.7956i −0.574935 0.995817i −0.996049 0.0888088i \(-0.971694\pi\)
0.421114 0.907008i \(-0.361639\pi\)
\(572\) −2.66960 4.62388i −0.111622 0.193334i
\(573\) −11.0936 + 19.2147i −0.463442 + 0.802704i
\(574\) 9.35554 + 5.40142i 0.390493 + 0.225451i
\(575\) 5.01552 2.20368i 0.209161 0.0918998i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) 8.05589 + 13.9532i 0.335371 + 0.580880i 0.983556 0.180603i \(-0.0578050\pi\)
−0.648185 + 0.761483i \(0.724472\pi\)
\(578\) −16.0007 −0.665542
\(579\) 21.0107 + 12.1306i 0.873176 + 0.504128i
\(580\) −12.1644 3.98543i −0.505101 0.165486i
\(581\) −9.10202 −0.377615
\(582\) 5.95504i 0.246844i
\(583\) −24.0171 + 13.8663i −0.994687 + 0.574283i
\(584\) 0.123967i 0.00512977i
\(585\) 4.91061 1.03122i 0.203029 0.0426357i
\(586\) 13.1556i 0.543452i
\(587\) 4.15035 7.18861i 0.171303 0.296706i −0.767573 0.640962i \(-0.778536\pi\)
0.938876 + 0.344256i \(0.111869\pi\)
\(588\) 4.73473 + 2.73360i 0.195257 + 0.112732i
\(589\) −12.7359 + 22.0592i −0.524774 + 0.908935i
\(590\) 2.62383 + 0.859645i 0.108022 + 0.0353910i
\(591\) −17.0744 −0.702345
\(592\) −0.246818 + 6.07775i −0.0101442 + 0.249794i
\(593\) 19.9341i 0.818597i −0.912401 0.409298i \(-0.865774\pi\)
0.912401 0.409298i \(-0.134226\pi\)
\(594\) 2.06056 1.18966i 0.0845457 0.0488125i
\(595\) −0.568743 2.70832i −0.0233162 0.111030i
\(596\) −11.4158 + 19.7727i −0.467608 + 0.809921i
\(597\) 1.84973 3.20383i 0.0757046 0.131124i
\(598\) 2.45865 0.100542
\(599\) 8.49888 14.7205i 0.347255 0.601463i −0.638506 0.769617i \(-0.720447\pi\)
0.985761 + 0.168154i \(0.0537805\pi\)
\(600\) 4.96999 + 0.546992i 0.202899 + 0.0223309i
\(601\) 20.6808 + 35.8202i 0.843588 + 1.46114i 0.886842 + 0.462073i \(0.152894\pi\)
−0.0432539 + 0.999064i \(0.513772\pi\)
\(602\) 7.75929i 0.316245i
\(603\) 1.88874i 0.0769153i
\(604\) −5.98037 10.3583i −0.243338 0.421474i
\(605\) 11.6831 2.45343i 0.474985 0.0997461i
\(606\) 4.28415i 0.174032i
\(607\) −15.3148 26.5261i −0.621610 1.07666i −0.989186 0.146667i \(-0.953145\pi\)
0.367575 0.929994i \(-0.380188\pi\)
\(608\) 7.10291 4.10087i 0.288061 0.166312i
\(609\) −6.13792 + 3.54373i −0.248721 + 0.143599i
\(610\) −2.39967 11.4271i −0.0971600 0.462671i
\(611\) −12.2339 7.06323i −0.494930 0.285748i
\(612\) 0.499820 + 0.865713i 0.0202040 + 0.0349944i
\(613\) −13.8680 + 8.00669i −0.560123 + 0.323387i −0.753195 0.657797i \(-0.771488\pi\)
0.193072 + 0.981185i \(0.438155\pi\)
\(614\) −9.66777 + 5.58169i −0.390159 + 0.225259i
\(615\) −14.5315 + 13.0199i −0.585965 + 0.525012i
\(616\) −2.55110 1.47288i −0.102787 0.0593440i
\(617\) 3.18990 1.84169i 0.128420 0.0741436i −0.434414 0.900714i \(-0.643044\pi\)
0.562834 + 0.826570i \(0.309711\pi\)
\(618\) 8.69905i 0.349927i
\(619\) 19.9125 0.800350 0.400175 0.916439i \(-0.368949\pi\)
0.400175 + 0.916439i \(0.368949\pi\)
\(620\) −6.59931 2.16213i −0.265035 0.0868331i
\(621\) 1.09566i 0.0439672i
\(622\) 22.1416 + 12.7835i 0.887798 + 0.512570i
\(623\) −1.24318 −0.0498069
\(624\) 1.94336 + 1.12200i 0.0777965 + 0.0449158i
\(625\) 16.9095 18.4139i 0.676378 0.736554i
\(626\) −1.00387 + 1.73875i −0.0401226 + 0.0694944i
\(627\) −9.75730 16.9001i −0.389669 0.674927i
\(628\) 14.4834i 0.577951i
\(629\) −0.246729 + 6.07556i −0.00983772 + 0.242248i
\(630\) 2.06185 1.84737i 0.0821460 0.0736011i
\(631\) −32.9638 + 19.0317i −1.31227 + 0.757638i −0.982471 0.186414i \(-0.940313\pi\)
−0.329797 + 0.944052i \(0.606980\pi\)
\(632\) −13.2768 7.66536i −0.528122 0.304912i
\(633\) −1.08766 0.627962i −0.0432307 0.0249593i
\(634\) −0.127184 0.0734298i −0.00505113 0.00291627i
\(635\) 6.52161 5.84323i 0.258802 0.231882i
\(636\) 5.82782 10.0941i 0.231088 0.400256i
\(637\) 12.2684 0.486090
\(638\) −11.7959 + 6.81039i −0.467006 + 0.269626i
\(639\) 4.92115 0.194678
\(640\) 1.49215 + 1.66538i 0.0589823 + 0.0658300i
\(641\) 11.7219 + 20.3029i 0.462986 + 0.801916i 0.999108 0.0422248i \(-0.0134446\pi\)
−0.536122 + 0.844141i \(0.680111\pi\)
\(642\) −4.18028 + 7.24046i −0.164983 + 0.285758i
\(643\) −26.3688 −1.03989 −0.519943 0.854201i \(-0.674047\pi\)
−0.519943 + 0.854201i \(0.674047\pi\)
\(644\) 1.17476 0.678246i 0.0462919 0.0267267i
\(645\) 13.3175 + 4.36321i 0.524377 + 0.171801i
\(646\) 7.10034 4.09939i 0.279359 0.161288i
\(647\) −7.15731 + 12.3968i −0.281383 + 0.487370i −0.971726 0.236113i \(-0.924126\pi\)
0.690343 + 0.723483i \(0.257460\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) 2.54435 1.46898i 0.0998745 0.0576626i
\(650\) 10.2722 4.51331i 0.402908 0.177027i
\(651\) −3.32987 + 1.92250i −0.130508 + 0.0753488i
\(652\) 12.0569 0.472184
\(653\) −5.19792 + 9.00305i −0.203410 + 0.352317i −0.949625 0.313388i \(-0.898536\pi\)
0.746215 + 0.665705i \(0.231869\pi\)
\(654\) 4.32369 + 7.48885i 0.169070 + 0.292837i
\(655\) −5.26933 + 4.72121i −0.205890 + 0.184473i
\(656\) −8.72560 −0.340677
\(657\) 0.107358 0.0619833i 0.00418844 0.00241820i
\(658\) −7.79390 −0.303838
\(659\) 2.73699 4.74060i 0.106618 0.184668i −0.807780 0.589484i \(-0.799331\pi\)
0.914398 + 0.404816i \(0.132665\pi\)
\(660\) 3.96249 3.55031i 0.154240 0.138196i
\(661\) 38.0482 + 21.9671i 1.47990 + 0.854423i 0.999741 0.0227571i \(-0.00724443\pi\)
0.480162 + 0.877180i \(0.340578\pi\)
\(662\) 8.53127 + 4.92553i 0.331577 + 0.191436i
\(663\) 1.94265 + 1.12159i 0.0754465 + 0.0435590i
\(664\) 6.36686 3.67591i 0.247082 0.142653i
\(665\) −15.1517 16.9107i −0.587556 0.655770i
\(666\) −5.38690 + 2.82513i −0.208738 + 0.109471i
\(667\) 6.27223i 0.242862i
\(668\) 3.98320 + 6.89910i 0.154115 + 0.266934i
\(669\) −1.30412 + 2.25879i −0.0504200 + 0.0873300i
\(670\) −0.867963 4.13319i −0.0335323 0.159679i
\(671\) −10.7599 6.21222i −0.415381 0.239820i
\(672\) 1.23806 0.0477593
\(673\) 6.80338 + 3.92793i 0.262251 + 0.151411i 0.625361 0.780336i \(-0.284952\pi\)
−0.363110 + 0.931746i \(0.618285\pi\)
\(674\) 11.4940i 0.442734i
\(675\) 2.01129 + 4.57763i 0.0774144 + 0.176193i
\(676\) −7.96449 −0.306327
\(677\) 36.4834i 1.40217i 0.713078 + 0.701085i \(0.247300\pi\)
−0.713078 + 0.701085i \(0.752700\pi\)
\(678\) −9.91767 + 5.72597i −0.380886 + 0.219904i
\(679\) −6.38496 3.68636i −0.245032 0.141469i
\(680\) 1.49161 + 1.66478i 0.0572006 + 0.0638414i
\(681\) 5.99277 3.45993i 0.229643 0.132585i
\(682\) −6.39940 + 3.69469i −0.245045 + 0.141477i
\(683\) −9.00252 15.5928i −0.344472 0.596643i 0.640786 0.767720i \(-0.278609\pi\)
−0.985258 + 0.171077i \(0.945275\pi\)
\(684\) 7.10291 + 4.10087i 0.271586 + 0.156801i
\(685\) −3.88463 18.4984i −0.148424 0.706788i
\(686\) 13.3673 7.71759i 0.510364 0.294659i
\(687\) 7.11822 4.10971i 0.271577 0.156795i
\(688\) 3.13364 + 5.42762i 0.119469 + 0.206926i
\(689\) 26.1552i 0.996433i
\(690\) 0.503506 + 2.39767i 0.0191681 + 0.0912776i
\(691\) −8.00024 13.8568i −0.304344 0.527139i 0.672771 0.739850i \(-0.265104\pi\)
−0.977115 + 0.212712i \(0.931770\pi\)
\(692\) 22.4360i 0.852890i
\(693\) 2.94576i 0.111900i
\(694\) 1.86898 + 3.23717i 0.0709455 + 0.122881i
\(695\) 1.49289 + 1.66621i 0.0566286 + 0.0632030i
\(696\) 2.86232 4.95768i 0.108496 0.187920i
\(697\) −8.72245 −0.330386
\(698\) −13.6535 + 23.6486i −0.516794 + 0.895113i
\(699\) −10.7013 + 18.5352i −0.404760 + 0.701065i
\(700\) 3.66306 4.99019i 0.138451 0.188611i
\(701\) 18.0634 10.4289i 0.682247 0.393895i −0.118454 0.992959i \(-0.537794\pi\)
0.800701 + 0.599064i \(0.204461\pi\)
\(702\) 2.24399i 0.0846941i
\(703\) 23.1709 + 44.1819i 0.873908 + 1.66635i
\(704\) 2.37933 0.0896743
\(705\) 4.38267 13.3769i 0.165061 0.503804i
\(706\) 17.7727 30.7832i 0.668885 1.15854i
\(707\) −4.59344 2.65202i −0.172754 0.0997396i
\(708\) −0.617394 + 1.06936i −0.0232031 + 0.0401889i
\(709\) 11.6988i 0.439359i 0.975572 + 0.219679i \(0.0705011\pi\)
−0.975572 + 0.219679i \(0.929499\pi\)
\(710\) 10.7691 2.26150i 0.404158 0.0848725i
\(711\) 15.3307i 0.574947i
\(712\) 0.869603 0.502066i 0.0325898 0.0188157i
\(713\) 3.40274i 0.127434i
\(714\) 1.23762 0.0463166
\(715\) 3.71709 11.3454i 0.139011 0.424294i
\(716\) −18.1576 10.4833i −0.678580 0.391778i
\(717\) −17.0614 −0.637168
\(718\) −7.92742 13.7307i −0.295849 0.512425i
\(719\) −12.4299 21.5293i −0.463559 0.802907i 0.535577 0.844487i \(-0.320094\pi\)
−0.999135 + 0.0415796i \(0.986761\pi\)
\(720\) −0.696189 + 2.12493i −0.0259454 + 0.0791914i
\(721\) −9.32708 5.38499i −0.347358 0.200547i
\(722\) 24.1342 41.8017i 0.898182 1.55570i
\(723\) 8.18883 + 14.1835i 0.304546 + 0.527489i
\(724\) 2.90937 + 5.03918i 0.108126 + 0.187280i
\(725\) −11.5139 26.2053i −0.427614 0.973239i
\(726\) 5.33880i 0.198142i
\(727\) 13.0391 22.5845i 0.483595 0.837611i −0.516227 0.856452i \(-0.672664\pi\)
0.999823 + 0.0188403i \(0.00599739\pi\)
\(728\) 2.40600 1.38910i 0.0891722 0.0514836i
\(729\) −1.00000 −0.0370370
\(730\) 0.206452 0.184976i 0.00764112 0.00684628i
\(731\) 3.13251 + 5.42567i 0.115860 + 0.200675i
\(732\) 5.22183 0.193004
\(733\) 40.4937 + 23.3790i 1.49567 + 0.863524i 0.999988 0.00498092i \(-0.00158548\pi\)
0.495680 + 0.868505i \(0.334919\pi\)
\(734\) 17.8278i 0.658035i
\(735\) 2.51243 + 11.9641i 0.0926725 + 0.441301i
\(736\) −0.547828 + 0.948867i −0.0201932 + 0.0349757i
\(737\) −3.89185 2.24696i −0.143358 0.0827679i
\(738\) −4.36280 7.55659i −0.160597 0.278162i
\(739\) 24.3403 0.895372 0.447686 0.894191i \(-0.352248\pi\)
0.447686 + 0.894191i \(0.352248\pi\)
\(740\) −10.4901 + 8.65786i −0.385623 + 0.318269i
\(741\) 18.4046 0.676111
\(742\) −7.21521 12.4971i −0.264879 0.458783i
\(743\) 24.0446 + 13.8822i 0.882111 + 0.509287i 0.871354 0.490655i \(-0.163242\pi\)
0.0107573 + 0.999942i \(0.496576\pi\)
\(744\) 1.55283 2.68958i 0.0569295 0.0986048i
\(745\) −49.9631 + 10.4922i −1.83051 + 0.384403i
\(746\) 5.51530i 0.201930i
\(747\) 6.36686 + 3.67591i 0.232951 + 0.134494i
\(748\) 2.37847 0.0869654
\(749\) 5.17546 + 8.96415i 0.189107 + 0.327543i
\(750\) 6.50501 + 9.09312i 0.237529 + 0.332034i
\(751\) 3.45365 0.126026 0.0630128 0.998013i \(-0.479929\pi\)
0.0630128 + 0.998013i \(0.479929\pi\)
\(752\) 5.45183 3.14762i 0.198808 0.114782i
\(753\) 10.7367 18.5965i 0.391266 0.677693i
\(754\) 12.8460i 0.467825i
\(755\) 8.32694 25.4157i 0.303048 0.924973i
\(756\) 0.619032 + 1.07219i 0.0225140 + 0.0389953i
\(757\) 8.28057 + 14.3424i 0.300962 + 0.521282i 0.976354 0.216177i \(-0.0693588\pi\)
−0.675392 + 0.737459i \(0.736025\pi\)
\(758\) −0.979562 + 1.69665i −0.0355793 + 0.0616251i
\(759\) 2.25766 + 1.30346i 0.0819480 + 0.0473127i
\(760\) 17.4281 + 5.70996i 0.632183 + 0.207122i
\(761\) −13.0643 22.6280i −0.473580 0.820265i 0.525962 0.850508i \(-0.323705\pi\)
−0.999543 + 0.0302429i \(0.990372\pi\)
\(762\) 1.95799 + 3.39135i 0.0709306 + 0.122855i
\(763\) 10.7060 0.387584
\(764\) −19.2147 11.0936i −0.695162 0.401352i
\(765\) −0.695938 + 2.12416i −0.0251617 + 0.0767992i
\(766\) −2.61581 −0.0945130
\(767\) 2.77086i 0.100050i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 8.68949i 0.313351i −0.987650 0.156675i \(-0.949922\pi\)
0.987650 0.156675i \(-0.0500777\pi\)
\(770\) −1.35371 6.44631i −0.0487845 0.232309i
\(771\) 0.239224i 0.00861545i
\(772\) −12.1306 + 21.0107i −0.436588 + 0.756193i
\(773\) −22.1990 12.8166i −0.798444 0.460982i 0.0444828 0.999010i \(-0.485836\pi\)
−0.842927 + 0.538028i \(0.819169\pi\)
\(774\) −3.13364 + 5.42762i −0.112636 + 0.195092i
\(775\) −6.24637 14.2166i −0.224376 0.510675i
\(776\) 5.95504 0.213774