Properties

Label 462.2.w.b.281.12
Level $462$
Weight $2$
Character 462.281
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 281.12
Character \(\chi\) \(=\) 462.281
Dual form 462.2.w.b.365.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(1.72206 - 0.185788i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.40093 + 0.780109i) q^{5} +(-0.708840 - 1.58036i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93097 - 0.639875i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(1.72206 - 0.185788i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(2.40093 + 0.780109i) q^{5} +(-0.708840 - 1.58036i) q^{6} +(-0.587785 - 0.809017i) q^{7} +(0.809017 + 0.587785i) q^{8} +(2.93097 - 0.639875i) q^{9} -2.52448i q^{10} +(2.28578 + 2.40317i) q^{11} +(-1.28397 + 1.16251i) q^{12} +(-2.68168 + 0.871332i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(4.27947 + 0.897328i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.600505 - 1.84816i) q^{17} +(-1.51428 - 2.58978i) q^{18} +(-0.670165 + 0.922404i) q^{19} +(-2.40093 + 0.780109i) q^{20} +(-1.16251 - 1.28397i) q^{21} +(1.57921 - 2.91652i) q^{22} -1.95181i q^{23} +(1.50238 + 0.861894i) q^{24} +(1.11080 + 0.807041i) q^{25} +(1.65737 + 2.28118i) q^{26} +(4.92841 - 1.64644i) q^{27} +(0.951057 + 0.309017i) q^{28} +(0.436095 - 0.316841i) q^{29} +(-0.469019 - 4.34731i) q^{30} +(1.43570 + 4.41863i) q^{31} -1.00000 q^{32} +(4.38272 + 3.71373i) q^{33} -1.94327 q^{34} +(-0.780109 - 2.40093i) q^{35} +(-1.99509 + 2.24045i) q^{36} +(-4.42744 + 3.21673i) q^{37} +(1.08435 + 0.352327i) q^{38} +(-4.45613 + 1.99871i) q^{39} +(1.48385 + 2.04235i) q^{40} +(-4.71469 - 3.42542i) q^{41} +(-0.861894 + 1.50238i) q^{42} -7.17172i q^{43} +(-3.26178 - 0.600659i) q^{44} +(7.53621 + 0.750177i) q^{45} +(-1.85628 + 0.603142i) q^{46} +(6.77838 - 9.32963i) q^{47} +(0.355450 - 1.69519i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(0.424287 - 1.30582i) q^{50} +(0.690737 - 3.29421i) q^{51} +(1.65737 - 2.28118i) q^{52} +(-10.7681 + 3.49876i) q^{53} +(-3.08882 - 4.17842i) q^{54} +(3.61325 + 7.55299i) q^{55} -1.00000i q^{56} +(-0.982692 + 1.71294i) q^{57} +(-0.436095 - 0.316841i) q^{58} +(-2.15072 - 2.96022i) q^{59} +(-3.98960 + 1.78946i) q^{60} +(-9.83154 - 3.19446i) q^{61} +(3.75871 - 2.73086i) q^{62} +(-2.24045 - 1.99509i) q^{63} +(0.309017 + 0.951057i) q^{64} -7.11826 q^{65} +(2.17763 - 5.31582i) q^{66} -0.0777526 q^{67} +(0.600505 + 1.84816i) q^{68} +(-0.362623 - 3.36113i) q^{69} +(-2.04235 + 1.48385i) q^{70} +(11.1681 + 3.62873i) q^{71} +(2.74731 + 1.20511i) q^{72} +(4.64870 + 6.39838i) q^{73} +(4.42744 + 3.21673i) q^{74} +(2.06280 + 1.18340i) q^{75} -1.14015i q^{76} +(0.600659 - 3.26178i) q^{77} +(3.27791 + 3.62040i) q^{78} +(-16.0957 + 5.22983i) q^{79} +(1.48385 - 2.04235i) q^{80} +(8.18112 - 3.75091i) q^{81} +(-1.80085 + 5.54244i) q^{82} +(0.819945 - 2.52353i) q^{83} +(1.69519 + 0.355450i) q^{84} +(2.88354 - 3.96885i) q^{85} +(-6.82071 + 2.21618i) q^{86} +(0.692115 - 0.626640i) q^{87} +(0.436685 + 3.28775i) q^{88} +0.938421i q^{89} +(-1.61536 - 7.39918i) q^{90} +(2.28118 + 1.65737i) q^{91} +(1.14724 + 1.57905i) q^{92} +(3.29328 + 7.34240i) q^{93} +(-10.9676 - 3.56360i) q^{94} +(-2.32859 + 1.69182i) q^{95} +(-1.72206 + 0.185788i) q^{96} +(0.0157528 + 0.0484822i) q^{97} +1.00000 q^{98} +(8.23726 + 5.58099i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + 8q^{11} + 6q^{12} - 24q^{15} - 12q^{16} + 24q^{17} + 10q^{18} + 30q^{19} - 8q^{22} - 6q^{24} + 18q^{25} + 20q^{26} + 38q^{27} - 8q^{29} - 36q^{30} - 32q^{31} - 48q^{32} + 24q^{33} - 4q^{34} - 6q^{35} - 20q^{37} - 20q^{38} - 34q^{39} - 22q^{44} + 12q^{45} + 20q^{46} - 20q^{47} - 4q^{48} + 12q^{49} - 28q^{50} + 2q^{51} + 20q^{52} - 20q^{53} - 18q^{54} + 16q^{55} + 12q^{57} + 8q^{58} - 30q^{59} - 4q^{60} - 20q^{61} - 8q^{62} - 4q^{63} - 12q^{64} + 46q^{66} + 36q^{67} + 24q^{68} + 30q^{69} - 4q^{70} - 10q^{72} - 20q^{73} + 20q^{74} + 40q^{75} + 16q^{77} - 16q^{78} - 20q^{79} - 54q^{81} - 10q^{82} + 46q^{83} - 10q^{84} + 10q^{85} + 30q^{86} - 8q^{87} - 8q^{88} - 62q^{90} - 36q^{91} - 10q^{92} + 44q^{93} - 50q^{95} + 4q^{96} - 2q^{97} + 48q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{9}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) 1.72206 0.185788i 0.994230 0.107265i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 2.40093 + 0.780109i 1.07373 + 0.348875i 0.791938 0.610601i \(-0.209072\pi\)
0.281789 + 0.959476i \(0.409072\pi\)
\(6\) −0.708840 1.58036i −0.289383 0.645180i
\(7\) −0.587785 0.809017i −0.222162 0.305780i
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) 2.93097 0.639875i 0.976989 0.213292i
\(10\) 2.52448i 0.798312i
\(11\) 2.28578 + 2.40317i 0.689188 + 0.724583i
\(12\) −1.28397 + 1.16251i −0.370650 + 0.335587i
\(13\) −2.68168 + 0.871332i −0.743765 + 0.241664i −0.656296 0.754503i \(-0.727878\pi\)
−0.0874690 + 0.996167i \(0.527878\pi\)
\(14\) −0.587785 + 0.809017i −0.157092 + 0.216219i
\(15\) 4.27947 + 0.897328i 1.10495 + 0.231689i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.600505 1.84816i 0.145644 0.448246i −0.851449 0.524437i \(-0.824276\pi\)
0.997093 + 0.0761912i \(0.0242759\pi\)
\(18\) −1.51428 2.58978i −0.356918 0.610417i
\(19\) −0.670165 + 0.922404i −0.153747 + 0.211614i −0.878941 0.476930i \(-0.841750\pi\)
0.725195 + 0.688544i \(0.241750\pi\)
\(20\) −2.40093 + 0.780109i −0.536864 + 0.174438i
\(21\) −1.16251 1.28397i −0.253680 0.280185i
\(22\) 1.57921 2.91652i 0.336688 0.621805i
\(23\) 1.95181i 0.406980i −0.979077 0.203490i \(-0.934772\pi\)
0.979077 0.203490i \(-0.0652285\pi\)
\(24\) 1.50238 + 0.861894i 0.306672 + 0.175933i
\(25\) 1.11080 + 0.807041i 0.222159 + 0.161408i
\(26\) 1.65737 + 2.28118i 0.325037 + 0.447376i
\(27\) 4.92841 1.64644i 0.948473 0.316858i
\(28\) 0.951057 + 0.309017i 0.179733 + 0.0583987i
\(29\) 0.436095 0.316841i 0.0809807 0.0588359i −0.546558 0.837421i \(-0.684062\pi\)
0.627539 + 0.778585i \(0.284062\pi\)
\(30\) −0.469019 4.34731i −0.0856307 0.793706i
\(31\) 1.43570 + 4.41863i 0.257859 + 0.793609i 0.993253 + 0.115969i \(0.0369973\pi\)
−0.735394 + 0.677640i \(0.763003\pi\)
\(32\) −1.00000 −0.176777
\(33\) 4.38272 + 3.71373i 0.762934 + 0.646477i
\(34\) −1.94327 −0.333269
\(35\) −0.780109 2.40093i −0.131862 0.405831i
\(36\) −1.99509 + 2.24045i −0.332515 + 0.373408i
\(37\) −4.42744 + 3.21673i −0.727867 + 0.528827i −0.888888 0.458124i \(-0.848521\pi\)
0.161021 + 0.986951i \(0.448521\pi\)
\(38\) 1.08435 + 0.352327i 0.175905 + 0.0571550i
\(39\) −4.45613 + 1.99871i −0.713552 + 0.320050i
\(40\) 1.48385 + 2.04235i 0.234618 + 0.322924i
\(41\) −4.71469 3.42542i −0.736310 0.534961i 0.155243 0.987876i \(-0.450384\pi\)
−0.891553 + 0.452916i \(0.850384\pi\)
\(42\) −0.861894 + 1.50238i −0.132993 + 0.231822i
\(43\) 7.17172i 1.09368i −0.837238 0.546839i \(-0.815831\pi\)
0.837238 0.546839i \(-0.184169\pi\)
\(44\) −3.26178 0.600659i −0.491732 0.0905527i
\(45\) 7.53621 + 0.750177i 1.12343 + 0.111830i
\(46\) −1.85628 + 0.603142i −0.273694 + 0.0889284i
\(47\) 6.77838 9.32963i 0.988728 1.36087i 0.0567354 0.998389i \(-0.481931\pi\)
0.931992 0.362478i \(-0.118069\pi\)
\(48\) 0.355450 1.69519i 0.0513048 0.244679i
\(49\) −0.309017 + 0.951057i −0.0441453 + 0.135865i
\(50\) 0.424287 1.30582i 0.0600032 0.184671i
\(51\) 0.690737 3.29421i 0.0967226 0.461282i
\(52\) 1.65737 2.28118i 0.229836 0.316342i
\(53\) −10.7681 + 3.49876i −1.47911 + 0.480592i −0.933847 0.357672i \(-0.883571\pi\)
−0.545264 + 0.838264i \(0.683571\pi\)
\(54\) −3.08882 4.17842i −0.420335 0.568611i
\(55\) 3.61325 + 7.55299i 0.487211 + 1.01844i
\(56\) 1.00000i 0.133631i
\(57\) −0.982692 + 1.71294i −0.130161 + 0.226885i
\(58\) −0.436095 0.316841i −0.0572620 0.0416033i
\(59\) −2.15072 2.96022i −0.280000 0.385387i 0.645734 0.763563i \(-0.276552\pi\)
−0.925734 + 0.378175i \(0.876552\pi\)
\(60\) −3.98960 + 1.78946i −0.515055 + 0.231018i
\(61\) −9.83154 3.19446i −1.25880 0.409009i −0.397733 0.917501i \(-0.630203\pi\)
−0.861067 + 0.508492i \(0.830203\pi\)
\(62\) 3.75871 2.73086i 0.477356 0.346820i
\(63\) −2.24045 1.99509i −0.282270 0.251358i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −7.11826 −0.882912
\(66\) 2.17763 5.31582i 0.268048 0.654332i
\(67\) −0.0777526 −0.00949900 −0.00474950 0.999989i \(-0.501512\pi\)
−0.00474950 + 0.999989i \(0.501512\pi\)
\(68\) 0.600505 + 1.84816i 0.0728219 + 0.224123i
\(69\) −0.362623 3.36113i −0.0436546 0.404632i
\(70\) −2.04235 + 1.48385i −0.244108 + 0.177355i
\(71\) 11.1681 + 3.62873i 1.32541 + 0.430651i 0.884349 0.466827i \(-0.154603\pi\)
0.441059 + 0.897478i \(0.354603\pi\)
\(72\) 2.74731 + 1.20511i 0.323774 + 0.142023i
\(73\) 4.64870 + 6.39838i 0.544089 + 0.748874i 0.989195 0.146604i \(-0.0468342\pi\)
−0.445107 + 0.895478i \(0.646834\pi\)
\(74\) 4.42744 + 3.21673i 0.514680 + 0.373937i
\(75\) 2.06280 + 1.18340i 0.238191 + 0.136647i
\(76\) 1.14015i 0.130785i
\(77\) 0.600659 3.26178i 0.0684514 0.371714i
\(78\) 3.27791 + 3.62040i 0.371150 + 0.409929i
\(79\) −16.0957 + 5.22983i −1.81091 + 0.588401i −0.810918 + 0.585159i \(0.801032\pi\)
−0.999995 + 0.00324219i \(0.998968\pi\)
\(80\) 1.48385 2.04235i 0.165900 0.228342i
\(81\) 8.18112 3.75091i 0.909013 0.416767i
\(82\) −1.80085 + 5.54244i −0.198871 + 0.612061i
\(83\) 0.819945 2.52353i 0.0900006 0.276993i −0.895918 0.444220i \(-0.853481\pi\)
0.985919 + 0.167226i \(0.0534810\pi\)
\(84\) 1.69519 + 0.355450i 0.184960 + 0.0387828i
\(85\) 2.88354 3.96885i 0.312763 0.430482i
\(86\) −6.82071 + 2.21618i −0.735496 + 0.238977i
\(87\) 0.692115 0.626640i 0.0742025 0.0671829i
\(88\) 0.436685 + 3.28775i 0.0465508 + 0.350475i
\(89\) 0.938421i 0.0994725i 0.998762 + 0.0497362i \(0.0158381\pi\)
−0.998762 + 0.0497362i \(0.984162\pi\)
\(90\) −1.61536 7.39918i −0.170273 0.779942i
\(91\) 2.28118 + 1.65737i 0.239132 + 0.173740i
\(92\) 1.14724 + 1.57905i 0.119608 + 0.164627i
\(93\) 3.29328 + 7.34240i 0.341498 + 0.761371i
\(94\) −10.9676 3.56360i −1.13123 0.367558i
\(95\) −2.32859 + 1.69182i −0.238909 + 0.173577i
\(96\) −1.72206 + 0.185788i −0.175757 + 0.0189619i
\(97\) 0.0157528 + 0.0484822i 0.00159946 + 0.00492262i 0.951853 0.306555i \(-0.0991762\pi\)
−0.950254 + 0.311477i \(0.899176\pi\)
\(98\) 1.00000 0.101015
\(99\) 8.23726 + 5.58099i 0.827876 + 0.560911i
\(100\) −1.37302 −0.137302
\(101\) 4.17019 + 12.8345i 0.414950 + 1.27708i 0.912296 + 0.409532i \(0.134308\pi\)
−0.497346 + 0.867552i \(0.665692\pi\)
\(102\) −3.34643 + 0.361037i −0.331346 + 0.0357480i
\(103\) −14.2379 + 10.3445i −1.40291 + 1.01927i −0.408599 + 0.912714i \(0.633983\pi\)
−0.994307 + 0.106557i \(0.966017\pi\)
\(104\) −2.68168 0.871332i −0.262961 0.0854411i
\(105\) −1.78946 3.98960i −0.174633 0.389345i
\(106\) 6.65505 + 9.15989i 0.646395 + 0.889687i
\(107\) −6.64527 4.82807i −0.642422 0.466747i 0.218259 0.975891i \(-0.429962\pi\)
−0.860682 + 0.509144i \(0.829962\pi\)
\(108\) −3.01941 + 4.22885i −0.290543 + 0.406921i
\(109\) 1.29310i 0.123856i −0.998081 0.0619281i \(-0.980275\pi\)
0.998081 0.0619281i \(-0.0197249\pi\)
\(110\) 6.06676 5.77041i 0.578443 0.550187i
\(111\) −7.02668 + 6.36195i −0.666943 + 0.603850i
\(112\) −0.951057 + 0.309017i −0.0898664 + 0.0291994i
\(113\) −5.02547 + 6.91697i −0.472757 + 0.650694i −0.977093 0.212814i \(-0.931737\pi\)
0.504336 + 0.863507i \(0.331737\pi\)
\(114\) 1.93277 + 0.405268i 0.181021 + 0.0379568i
\(115\) 1.52262 4.68615i 0.141985 0.436986i
\(116\) −0.166573 + 0.512660i −0.0154659 + 0.0475993i
\(117\) −7.30238 + 4.26979i −0.675105 + 0.394742i
\(118\) −2.15072 + 2.96022i −0.197990 + 0.272510i
\(119\) −1.84816 + 0.600505i −0.169421 + 0.0550482i
\(120\) 2.93473 + 3.24136i 0.267903 + 0.295895i
\(121\) −0.550444 + 10.9862i −0.0500404 + 0.998747i
\(122\) 10.3375i 0.935913i
\(123\) −8.75536 5.02284i −0.789444 0.452894i
\(124\) −3.75871 2.73086i −0.337542 0.245239i
\(125\) −5.38191 7.40756i −0.481373 0.662553i
\(126\) −1.20511 + 2.74731i −0.107360 + 0.244750i
\(127\) 20.3852 + 6.62357i 1.80890 + 0.587747i 1.00000 0.000201735i \(-6.42141e-5\pi\)
0.808898 + 0.587948i \(0.200064\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) −1.33242 12.3501i −0.117313 1.08737i
\(130\) 2.19966 + 6.76987i 0.192923 + 0.593757i
\(131\) −7.96431 −0.695845 −0.347923 0.937523i \(-0.613113\pi\)
−0.347923 + 0.937523i \(0.613113\pi\)
\(132\) −5.72857 0.428369i −0.498608 0.0372847i
\(133\) 1.14015 0.0988639
\(134\) 0.0240269 + 0.0739471i 0.00207561 + 0.00638806i
\(135\) 13.1172 0.108289i 1.12895 0.00932002i
\(136\) 1.57214 1.14223i 0.134810 0.0979452i
\(137\) 7.17933 + 2.33271i 0.613372 + 0.199297i 0.599195 0.800603i \(-0.295487\pi\)
0.0141765 + 0.999900i \(0.495487\pi\)
\(138\) −3.08456 + 1.38352i −0.262576 + 0.117773i
\(139\) 10.8724 + 14.9646i 0.922184 + 1.26928i 0.962831 + 0.270104i \(0.0870582\pi\)
−0.0406466 + 0.999174i \(0.512942\pi\)
\(140\) 2.04235 + 1.48385i 0.172610 + 0.125409i
\(141\) 9.93942 17.3255i 0.837050 1.45907i
\(142\) 11.7428i 0.985436i
\(143\) −8.22369 4.45287i −0.687700 0.372368i
\(144\) 0.297161 2.98525i 0.0247634 0.248771i
\(145\) 1.29420 0.420512i 0.107478 0.0349216i
\(146\) 4.64870 6.39838i 0.384729 0.529534i
\(147\) −0.355450 + 1.69519i −0.0293170 + 0.139817i
\(148\) 1.69113 5.20477i 0.139010 0.427830i
\(149\) −4.89868 + 15.0766i −0.401316 + 1.23512i 0.522617 + 0.852568i \(0.324956\pi\)
−0.923933 + 0.382555i \(0.875044\pi\)
\(150\) 0.488040 2.32753i 0.0398483 0.190042i
\(151\) 7.18517 9.88954i 0.584721 0.804799i −0.409482 0.912318i \(-0.634291\pi\)
0.994203 + 0.107519i \(0.0342906\pi\)
\(152\) −1.08435 + 0.352327i −0.0879524 + 0.0285775i
\(153\) 0.577464 5.80115i 0.0466852 0.468995i
\(154\) −3.28775 + 0.436685i −0.264935 + 0.0351891i
\(155\) 11.7288i 0.942080i
\(156\) 2.43027 4.23624i 0.194578 0.339170i
\(157\) −8.23180 5.98076i −0.656969 0.477316i 0.208669 0.977986i \(-0.433087\pi\)
−0.865638 + 0.500670i \(0.833087\pi\)
\(158\) 9.94772 + 13.6919i 0.791398 + 1.08927i
\(159\) −17.8932 + 8.02566i −1.41903 + 0.636476i
\(160\) −2.40093 0.780109i −0.189810 0.0616730i
\(161\) −1.57905 + 1.14724i −0.124446 + 0.0904155i
\(162\) −6.09543 6.62161i −0.478902 0.520243i
\(163\) −1.98212 6.10034i −0.155252 0.477815i 0.842935 0.538016i \(-0.180826\pi\)
−0.998186 + 0.0602005i \(0.980826\pi\)
\(164\) 5.82767 0.455065
\(165\) 7.62548 + 12.3354i 0.593643 + 0.960308i
\(166\) −2.65340 −0.205944
\(167\) −2.28598 7.03551i −0.176894 0.544424i 0.822821 0.568301i \(-0.192399\pi\)
−0.999715 + 0.0238767i \(0.992399\pi\)
\(168\) −0.185788 1.72206i −0.0143339 0.132860i
\(169\) −4.08501 + 2.96793i −0.314232 + 0.228303i
\(170\) −4.66566 1.51596i −0.357840 0.116269i
\(171\) −1.37401 + 3.13236i −0.105073 + 0.239537i
\(172\) 4.21543 + 5.80204i 0.321424 + 0.442402i
\(173\) −17.0775 12.4075i −1.29838 0.943325i −0.298437 0.954429i \(-0.596465\pi\)
−0.999938 + 0.0111040i \(0.996465\pi\)
\(174\) −0.809845 0.464598i −0.0613942 0.0352211i
\(175\) 1.37302i 0.103791i
\(176\) 2.99189 1.43128i 0.225522 0.107887i
\(177\) −4.25364 4.69809i −0.319723 0.353130i
\(178\) 0.892492 0.289988i 0.0668951 0.0217355i
\(179\) 8.12525 11.1835i 0.607310 0.835890i −0.389043 0.921220i \(-0.627194\pi\)
0.996353 + 0.0853292i \(0.0271942\pi\)
\(180\) −6.53786 + 3.82277i −0.487304 + 0.284932i
\(181\) 3.21449 9.89318i 0.238931 0.735355i −0.757644 0.652668i \(-0.773650\pi\)
0.996576 0.0826870i \(-0.0263502\pi\)
\(182\) 0.871332 2.68168i 0.0645874 0.198780i
\(183\) −17.5240 3.67446i −1.29541 0.271624i
\(184\) 1.14724 1.57905i 0.0845760 0.116409i
\(185\) −13.1394 + 4.26924i −0.966025 + 0.313881i
\(186\) 5.96535 5.40102i 0.437401 0.396022i
\(187\) 5.81407 2.78138i 0.425167 0.203394i
\(188\) 11.5321i 0.841062i
\(189\) −4.22885 3.01941i −0.307603 0.219630i
\(190\) 2.32859 + 1.69182i 0.168934 + 0.122738i
\(191\) 15.1990 + 20.9197i 1.09976 + 1.51370i 0.835696 + 0.549192i \(0.185064\pi\)
0.264068 + 0.964504i \(0.414936\pi\)
\(192\) 0.708840 + 1.58036i 0.0511561 + 0.114053i
\(193\) −6.61788 2.15028i −0.476366 0.154781i 0.0609865 0.998139i \(-0.480575\pi\)
−0.537352 + 0.843358i \(0.680575\pi\)
\(194\) 0.0412414 0.0299636i 0.00296096 0.00215126i
\(195\) −12.2581 + 1.32249i −0.877818 + 0.0947053i
\(196\) −0.309017 0.951057i −0.0220726 0.0679326i
\(197\) 2.55289 0.181886 0.0909428 0.995856i \(-0.471012\pi\)
0.0909428 + 0.995856i \(0.471012\pi\)
\(198\) 2.76239 9.55873i 0.196314 0.679309i
\(199\) −13.8285 −0.980278 −0.490139 0.871644i \(-0.663054\pi\)
−0.490139 + 0.871644i \(0.663054\pi\)
\(200\) 0.424287 + 1.30582i 0.0300016 + 0.0923354i
\(201\) −0.133895 + 0.0144455i −0.00944419 + 0.00101891i
\(202\) 10.9177 7.93218i 0.768167 0.558106i
\(203\) −0.512660 0.166573i −0.0359817 0.0116912i
\(204\) 1.37747 + 3.07108i 0.0964422 + 0.215018i
\(205\) −8.64742 11.9021i −0.603962 0.831282i
\(206\) 14.2379 + 10.3445i 0.992004 + 0.720733i
\(207\) −1.24891 5.72068i −0.0868055 0.397615i
\(208\) 2.81969i 0.195510i
\(209\) −3.74854 + 0.497888i −0.259292 + 0.0344397i
\(210\) −3.24136 + 2.93473i −0.223675 + 0.202515i
\(211\) 23.9330 7.77631i 1.64762 0.535343i 0.669396 0.742906i \(-0.266553\pi\)
0.978222 + 0.207563i \(0.0665531\pi\)
\(212\) 6.65505 9.15989i 0.457070 0.629104i
\(213\) 19.9063 + 4.17399i 1.36395 + 0.285997i
\(214\) −2.53827 + 7.81198i −0.173512 + 0.534016i
\(215\) 5.59472 17.2188i 0.381557 1.17431i
\(216\) 4.95492 + 1.56485i 0.337140 + 0.106474i
\(217\) 2.73086 3.75871i 0.185383 0.255158i
\(218\) −1.22981 + 0.399589i −0.0832931 + 0.0270636i
\(219\) 9.19407 + 10.1547i 0.621277 + 0.686192i
\(220\) −7.36272 3.98668i −0.496394 0.268782i
\(221\) 5.47943i 0.368586i
\(222\) 8.22194 + 4.71682i 0.551821 + 0.316572i
\(223\) 0.479187 + 0.348150i 0.0320887 + 0.0233138i 0.603714 0.797201i \(-0.293687\pi\)
−0.571625 + 0.820515i \(0.693687\pi\)
\(224\) 0.587785 + 0.809017i 0.0392731 + 0.0540547i
\(225\) 3.77211 + 1.65464i 0.251474 + 0.110309i
\(226\) 8.13139 + 2.64205i 0.540892 + 0.175746i
\(227\) 15.5146 11.2720i 1.02974 0.748152i 0.0614855 0.998108i \(-0.480416\pi\)
0.968257 + 0.249956i \(0.0804162\pi\)
\(228\) −0.211827 1.96341i −0.0140286 0.130030i
\(229\) −8.06612 24.8250i −0.533024 1.64048i −0.747881 0.663833i \(-0.768928\pi\)
0.214857 0.976646i \(-0.431072\pi\)
\(230\) −4.92731 −0.324897
\(231\) 0.428369 5.72857i 0.0281846 0.376912i
\(232\) 0.539043 0.0353899
\(233\) 3.54864 + 10.9216i 0.232479 + 0.715497i 0.997446 + 0.0714270i \(0.0227553\pi\)
−0.764967 + 0.644070i \(0.777245\pi\)
\(234\) 6.31737 + 5.62554i 0.412979 + 0.367753i
\(235\) 23.5525 17.1119i 1.53640 1.11626i
\(236\) 3.47994 + 1.13070i 0.226525 + 0.0736024i
\(237\) −26.7462 + 11.9965i −1.73735 + 0.779254i
\(238\) 1.14223 + 1.57214i 0.0740396 + 0.101907i
\(239\) −5.72110 4.15662i −0.370067 0.268870i 0.387172 0.922008i \(-0.373452\pi\)
−0.757239 + 0.653138i \(0.773452\pi\)
\(240\) 2.17584 3.79273i 0.140450 0.244820i
\(241\) 8.34112i 0.537299i −0.963238 0.268649i \(-0.913423\pi\)
0.963238 0.268649i \(-0.0865773\pi\)
\(242\) 10.6186 2.87142i 0.682590 0.184582i
\(243\) 13.3915 7.97923i 0.859064 0.511868i
\(244\) 9.83154 3.19446i 0.629400 0.204504i
\(245\) −1.48385 + 2.04235i −0.0948000 + 0.130481i
\(246\) −2.07145 + 9.87899i −0.132071 + 0.629861i
\(247\) 0.993452 3.05753i 0.0632119 0.194546i
\(248\) −1.43570 + 4.41863i −0.0911670 + 0.280583i
\(249\) 0.943150 4.49800i 0.0597697 0.285049i
\(250\) −5.38191 + 7.40756i −0.340382 + 0.468495i
\(251\) 17.1133 5.56045i 1.08018 0.350973i 0.285737 0.958308i \(-0.407761\pi\)
0.794446 + 0.607335i \(0.207761\pi\)
\(252\) 2.98525 + 0.297161i 0.188053 + 0.0187194i
\(253\) 4.69053 4.46140i 0.294891 0.280486i
\(254\) 21.4343i 1.34491i
\(255\) 4.22825 7.37031i 0.264783 0.461547i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −13.8716 19.0926i −0.865284 1.19096i −0.980284 0.197596i \(-0.936687\pi\)
0.115000 0.993366i \(-0.463313\pi\)
\(258\) −11.3339 + 5.08360i −0.705619 + 0.316491i
\(259\) 5.20477 + 1.69113i 0.323409 + 0.105082i
\(260\) 5.75879 4.18401i 0.357145 0.259481i
\(261\) 1.07544 1.20770i 0.0665680 0.0747546i
\(262\) 2.46111 + 7.57451i 0.152048 + 0.467955i
\(263\) 9.24161 0.569862 0.284931 0.958548i \(-0.408029\pi\)
0.284931 + 0.958548i \(0.408029\pi\)
\(264\) 1.36282 + 5.58057i 0.0838759 + 0.343460i
\(265\) −28.5828 −1.75583
\(266\) −0.352327 1.08435i −0.0216025 0.0664858i
\(267\) 0.174347 + 1.61602i 0.0106699 + 0.0988986i
\(268\) 0.0629032 0.0457019i 0.00384242 0.00279168i
\(269\) 9.87348 + 3.20809i 0.601997 + 0.195601i 0.594131 0.804368i \(-0.297496\pi\)
0.00786607 + 0.999969i \(0.497496\pi\)
\(270\) −4.15641 12.4417i −0.252951 0.757177i
\(271\) 3.36785 + 4.63545i 0.204582 + 0.281583i 0.898963 0.438024i \(-0.144322\pi\)
−0.694381 + 0.719608i \(0.744322\pi\)
\(272\) −1.57214 1.14223i −0.0953251 0.0692577i
\(273\) 4.23624 + 2.43027i 0.256389 + 0.147087i
\(274\) 7.54880i 0.456039i
\(275\) 0.599578 + 4.51415i 0.0361559 + 0.272213i
\(276\) 2.26899 + 2.50606i 0.136577 + 0.150847i
\(277\) 8.95982 2.91122i 0.538344 0.174918i −0.0272104 0.999630i \(-0.508662\pi\)
0.565554 + 0.824711i \(0.308662\pi\)
\(278\) 10.8724 14.9646i 0.652083 0.897515i
\(279\) 7.03536 + 12.0322i 0.421196 + 0.720348i
\(280\) 0.780109 2.40093i 0.0466204 0.143483i
\(281\) 0.694050 2.13607i 0.0414036 0.127427i −0.928218 0.372036i \(-0.878660\pi\)
0.969622 + 0.244609i \(0.0786597\pi\)
\(282\) −19.5490 4.09907i −1.16413 0.244096i
\(283\) 12.8043 17.6236i 0.761134 1.04761i −0.235984 0.971757i \(-0.575831\pi\)
0.997119 0.0758548i \(-0.0241686\pi\)
\(284\) −11.1681 + 3.62873i −0.662704 + 0.215326i
\(285\) −3.69565 + 3.34604i −0.218912 + 0.198202i
\(286\) −1.69367 + 9.19721i −0.100149 + 0.543842i
\(287\) 5.82767i 0.343997i
\(288\) −2.93097 + 0.639875i −0.172709 + 0.0377050i
\(289\) 10.6982 + 7.77269i 0.629305 + 0.457217i
\(290\) −0.799861 1.10091i −0.0469694 0.0646479i
\(291\) 0.0361347 + 0.0805624i 0.00211825 + 0.00472265i
\(292\) −7.52175 2.44396i −0.440177 0.143022i
\(293\) 3.23645 2.35142i 0.189075 0.137371i −0.489221 0.872160i \(-0.662719\pi\)
0.678296 + 0.734789i \(0.262719\pi\)
\(294\) 1.72206 0.185788i 0.100432 0.0108354i
\(295\) −2.85444 8.78506i −0.166192 0.511486i
\(296\) −5.47262 −0.318090
\(297\) 15.2219 + 8.08041i 0.883266 + 0.468873i
\(298\) 15.8525 0.918309
\(299\) 1.70067 + 5.23413i 0.0983525 + 0.302698i
\(300\) −2.36442 + 0.255091i −0.136510 + 0.0147277i
\(301\) −5.80204 + 4.21543i −0.334424 + 0.242973i
\(302\) −11.6258 3.77747i −0.668992 0.217369i
\(303\) 9.56582 + 21.3270i 0.549542 + 1.22521i
\(304\) 0.670165 + 0.922404i 0.0384366 + 0.0529035i
\(305\) −21.1128 15.3393i −1.20891 0.878328i
\(306\) −5.69567 + 1.24345i −0.325600 + 0.0710835i
\(307\) 12.8498i 0.733379i −0.930343 0.366690i \(-0.880491\pi\)
0.930343 0.366690i \(-0.119509\pi\)
\(308\) 1.43128 + 2.99189i 0.0815549 + 0.170479i
\(309\) −22.5967 + 20.4590i −1.28548 + 1.16387i
\(310\) 11.1548 3.62440i 0.633547 0.205852i
\(311\) 6.80143 9.36137i 0.385674 0.530835i −0.571403 0.820670i \(-0.693601\pi\)
0.957077 + 0.289835i \(0.0936005\pi\)
\(312\) −4.77990 1.00226i −0.270608 0.0567418i
\(313\) 8.69034 26.7461i 0.491207 1.51178i −0.331579 0.943428i \(-0.607581\pi\)
0.822786 0.568352i \(-0.192419\pi\)
\(314\) −3.14427 + 9.67707i −0.177441 + 0.546108i
\(315\) −3.82277 6.53786i −0.215388 0.368367i
\(316\) 9.94772 13.6919i 0.559603 0.770227i
\(317\) −3.76993 + 1.22492i −0.211740 + 0.0687986i −0.412967 0.910746i \(-0.635507\pi\)
0.201226 + 0.979545i \(0.435507\pi\)
\(318\) 13.1622 + 14.5374i 0.738098 + 0.815218i
\(319\) 1.75824 + 0.323780i 0.0984424 + 0.0181282i
\(320\) 2.52448i 0.141123i
\(321\) −12.3405 7.07961i −0.688782 0.395145i
\(322\) 1.57905 + 1.14724i 0.0879968 + 0.0639334i
\(323\) 1.30232 + 1.79248i 0.0724628 + 0.0997364i
\(324\) −4.41394 + 7.84329i −0.245219 + 0.435738i
\(325\) −3.68201 1.19636i −0.204241 0.0663619i
\(326\) −5.18926 + 3.77022i −0.287406 + 0.208813i
\(327\) −0.240242 2.22679i −0.0132854 0.123142i
\(328\) −1.80085 5.54244i −0.0994353 0.306030i
\(329\) −11.5321 −0.635783
\(330\) 9.37524 11.0641i 0.516090 0.609059i
\(331\) −34.4306 −1.89248 −0.946239 0.323468i \(-0.895151\pi\)
−0.946239 + 0.323468i \(0.895151\pi\)
\(332\) 0.819945 + 2.52353i 0.0450003 + 0.138497i
\(333\) −10.9184 + 12.2611i −0.598324 + 0.671906i
\(334\) −5.98476 + 4.34819i −0.327472 + 0.237922i
\(335\) −0.186678 0.0606555i −0.0101993 0.00331396i
\(336\) −1.58036 + 0.708840i −0.0862158 + 0.0386704i
\(337\) 9.02974 + 12.4284i 0.491881 + 0.677016i 0.980734 0.195350i \(-0.0625843\pi\)
−0.488852 + 0.872366i \(0.662584\pi\)
\(338\) 4.08501 + 2.96793i 0.222195 + 0.161434i
\(339\) −7.36906 + 12.8451i −0.400233 + 0.697650i
\(340\) 4.90577i 0.266052i
\(341\) −7.33702 + 13.5502i −0.397322 + 0.733786i
\(342\) 3.40364 + 0.338809i 0.184048 + 0.0183207i
\(343\) 0.951057 0.309017i 0.0513522 0.0166853i
\(344\) 4.21543 5.80204i 0.227281 0.312825i
\(345\) 1.75141 8.35271i 0.0942929 0.449695i
\(346\) −6.52301 + 20.0758i −0.350679 + 1.07928i
\(347\) −8.44647 + 25.9956i −0.453430 + 1.39552i 0.419538 + 0.907738i \(0.362192\pi\)
−0.872968 + 0.487777i \(0.837808\pi\)
\(348\) −0.191603 + 0.913777i −0.0102710 + 0.0489836i
\(349\) −20.7012 + 28.4928i −1.10811 + 1.52518i −0.283940 + 0.958842i \(0.591642\pi\)
−0.824171 + 0.566341i \(0.808358\pi\)
\(350\) −1.30582 + 0.424287i −0.0697990 + 0.0226791i
\(351\) −11.7818 + 8.70952i −0.628868 + 0.464880i
\(352\) −2.28578 2.40317i −0.121832 0.128089i
\(353\) 8.71861i 0.464045i 0.972710 + 0.232022i \(0.0745343\pi\)
−0.972710 + 0.232022i \(0.925466\pi\)
\(354\) −3.15370 + 5.49724i −0.167617 + 0.292175i
\(355\) 23.9830 + 17.4246i 1.27288 + 0.924804i
\(356\) −0.551590 0.759199i −0.0292342 0.0402375i
\(357\) −3.07108 + 1.37747i −0.162539 + 0.0729035i
\(358\) −13.1469 4.27170i −0.694837 0.225766i
\(359\) 26.4454 19.2137i 1.39573 1.01406i 0.400525 0.916286i \(-0.368828\pi\)
0.995209 0.0977735i \(-0.0311721\pi\)
\(360\) 5.65598 + 5.03658i 0.298096 + 0.265451i
\(361\) 5.46962 + 16.8337i 0.287875 + 0.885987i
\(362\) −10.4023 −0.546733
\(363\) 1.09321 + 19.0212i 0.0573787 + 0.998352i
\(364\) −2.81969 −0.147792
\(365\) 6.16975 + 18.9885i 0.322939 + 0.993905i
\(366\) 1.92058 + 17.8018i 0.100390 + 0.930513i
\(367\) −18.8187 + 13.6726i −0.982328 + 0.713703i −0.958228 0.286006i \(-0.907672\pi\)
−0.0241007 + 0.999710i \(0.507672\pi\)
\(368\) −1.85628 0.603142i −0.0967653 0.0314409i
\(369\) −16.0104 7.02297i −0.833469 0.365601i
\(370\) 8.12057 + 11.1770i 0.422169 + 0.581065i
\(371\) 9.15989 + 6.65505i 0.475558 + 0.345513i
\(372\) −6.98007 4.00438i −0.361900 0.207617i
\(373\) 5.34127i 0.276561i 0.990393 + 0.138280i \(0.0441575\pi\)
−0.990393 + 0.138280i \(0.955843\pi\)
\(374\) −4.44189 4.67002i −0.229685 0.241481i
\(375\) −10.6442 11.7564i −0.549664 0.607096i
\(376\) 10.9676 3.56360i 0.565613 0.183779i
\(377\) −0.893394 + 1.22965i −0.0460121 + 0.0633303i
\(378\) −1.56485 + 4.95492i −0.0804871 + 0.254854i
\(379\) −8.33235 + 25.6443i −0.428004 + 1.31726i 0.472084 + 0.881553i \(0.343502\pi\)
−0.900088 + 0.435707i \(0.856498\pi\)
\(380\) 0.889444 2.73743i 0.0456275 0.140427i
\(381\) 36.3352 + 7.61883i 1.86151 + 0.390325i
\(382\) 15.1990 20.9197i 0.777651 1.07034i
\(383\) 4.16997 1.35491i 0.213076 0.0692325i −0.200534 0.979687i \(-0.564268\pi\)
0.413610 + 0.910454i \(0.364268\pi\)
\(384\) 1.28397 1.16251i 0.0655223 0.0593239i
\(385\) 3.98668 7.36272i 0.203180 0.375239i
\(386\) 6.95845i 0.354176i
\(387\) −4.58901 21.0201i −0.233272 1.06851i
\(388\) −0.0412414 0.0299636i −0.00209372 0.00152117i
\(389\) −17.1188 23.5620i −0.867957 1.19464i −0.979613 0.200894i \(-0.935615\pi\)
0.111656 0.993747i \(-0.464385\pi\)
\(390\) 5.04571 + 11.2494i 0.255499 + 0.569637i
\(391\) −3.60726 1.17207i −0.182427 0.0592741i
\(392\) −0.809017 + 0.587785i −0.0408615 + 0.0296876i
\(393\) −13.7150 + 1.47967i −0.691830 + 0.0746397i
\(394\) −0.788885 2.42794i −0.0397434 0.122318i
\(395\) −42.7246 −2.14971
\(396\) −9.94451 + 0.326623i −0.499731 + 0.0164134i
\(397\) 1.67904 0.0842687 0.0421344 0.999112i \(-0.486584\pi\)
0.0421344 + 0.999112i \(0.486584\pi\)
\(398\) 4.27325 + 13.1517i 0.214199 + 0.659236i
\(399\) 1.96341 0.211827i 0.0982935 0.0106046i
\(400\) 1.11080 0.807041i 0.0555399 0.0403521i
\(401\) 19.7583 + 6.41987i 0.986684 + 0.320593i 0.757532 0.652798i \(-0.226405\pi\)
0.229152 + 0.973391i \(0.426405\pi\)
\(402\) 0.0551142 + 0.122877i 0.00274885 + 0.00612857i
\(403\) −7.70018 10.5984i −0.383573 0.527944i
\(404\) −10.9177 7.93218i −0.543176 0.394641i
\(405\) 22.5684 2.62349i 1.12143 0.130362i
\(406\) 0.539043i 0.0267522i
\(407\) −17.8505 3.28718i −0.884816 0.162939i
\(408\) 2.49511 2.25907i 0.123526 0.111841i
\(409\) −17.4300 + 5.66334i −0.861857 + 0.280034i −0.706404 0.707809i \(-0.749684\pi\)
−0.155453 + 0.987843i \(0.549684\pi\)
\(410\) −8.64742 + 11.9021i −0.427065 + 0.587805i
\(411\) 12.7966 + 2.68322i 0.631210 + 0.132354i
\(412\) 5.43841 16.7377i 0.267931 0.824607i
\(413\) −1.13070 + 3.47994i −0.0556382 + 0.171237i
\(414\) −5.05476 + 2.95558i −0.248428 + 0.145259i
\(415\) 3.93725 5.41917i 0.193272 0.266016i
\(416\) 2.68168 0.871332i 0.131480 0.0427206i
\(417\) 21.5031 + 23.7499i 1.05301 + 1.16304i
\(418\) 1.63188 + 3.41122i 0.0798180 + 0.166848i
\(419\) 14.2668i 0.696977i −0.937313 0.348489i \(-0.886695\pi\)
0.937313 0.348489i \(-0.113305\pi\)
\(420\) 3.79273 + 2.17584i 0.185066 + 0.106170i
\(421\) −1.77462 1.28933i −0.0864895 0.0628383i 0.543700 0.839280i \(-0.317023\pi\)
−0.630190 + 0.776441i \(0.717023\pi\)
\(422\) −14.7914 20.3586i −0.720035 0.991043i
\(423\) 13.8974 31.6822i 0.675714 1.54044i
\(424\) −10.7681 3.49876i −0.522945 0.169915i
\(425\) 2.15858 1.56830i 0.104707 0.0760738i
\(426\) −2.18168 20.2218i −0.105703 0.979750i
\(427\) 3.19446 + 9.83154i 0.154591 + 0.475782i
\(428\) 8.21400 0.397039
\(429\) −14.9890 6.14024i −0.723674 0.296453i
\(430\) −18.1049 −0.873096
\(431\) −4.07361 12.5373i −0.196219 0.603900i −0.999960 0.00892107i \(-0.997160\pi\)
0.803741 0.594979i \(-0.202840\pi\)
\(432\) −0.0428954 5.19598i −0.00206381 0.249991i
\(433\) 27.4189 19.9210i 1.31767 0.957343i 0.317712 0.948187i \(-0.397086\pi\)
0.999958 0.00915582i \(-0.00291443\pi\)
\(434\) −4.41863 1.43570i −0.212101 0.0689158i
\(435\) 2.15056 0.964593i 0.103112 0.0462487i
\(436\) 0.760063 + 1.04614i 0.0364004 + 0.0501008i
\(437\) 1.80036 + 1.30803i 0.0861227 + 0.0625718i
\(438\) 6.81658 11.8821i 0.325709 0.567747i
\(439\) 31.9717i 1.52592i 0.646443 + 0.762962i \(0.276256\pi\)
−0.646443 + 0.762962i \(0.723744\pi\)
\(440\) −1.51635 + 8.23431i −0.0722893 + 0.392555i
\(441\) −0.297161 + 2.98525i −0.0141505 + 0.142155i
\(442\) 5.21125 1.69324i 0.247874 0.0805391i
\(443\) 4.73709 6.52004i 0.225066 0.309777i −0.681519 0.731801i \(-0.738680\pi\)
0.906585 + 0.422024i \(0.138680\pi\)
\(444\) 1.94524 9.27711i 0.0923172 0.440272i
\(445\) −0.732071 + 2.25308i −0.0347035 + 0.106806i
\(446\) 0.183033 0.563318i 0.00866687 0.0266739i
\(447\) −5.63477 + 26.8729i −0.266515 + 1.27104i
\(448\) 0.587785 0.809017i 0.0277702 0.0382225i
\(449\) 19.3529 6.28815i 0.913321 0.296756i 0.185597 0.982626i \(-0.440578\pi\)
0.727724 + 0.685870i \(0.240578\pi\)
\(450\) 0.408008 4.09881i 0.0192337 0.193220i
\(451\) −2.54486 19.1599i −0.119833 0.902206i
\(452\) 8.54984i 0.402151i
\(453\) 10.5359 18.3653i 0.495021 0.862876i
\(454\) −15.5146 11.2720i −0.728138 0.529023i
\(455\) 4.18401 + 5.75879i 0.196149 + 0.269976i
\(456\) −1.80186 + 0.808187i −0.0843796 + 0.0378468i
\(457\) 36.5922 + 11.8895i 1.71171 + 0.556168i 0.990617 0.136671i \(-0.0436402\pi\)
0.721093 + 0.692839i \(0.243640\pi\)
\(458\) −21.1174 + 15.3427i −0.986750 + 0.716916i
\(459\) −0.0833576 10.0972i −0.00389080 0.471297i
\(460\) 1.52262 + 4.68615i 0.0709926 + 0.218493i
\(461\) −13.4718 −0.627443 −0.313722 0.949515i \(-0.601576\pi\)
−0.313722 + 0.949515i \(0.601576\pi\)
\(462\) −5.58057 + 1.36282i −0.259631 + 0.0634042i
\(463\) −9.34629 −0.434359 −0.217180 0.976132i \(-0.569686\pi\)
−0.217180 + 0.976132i \(0.569686\pi\)
\(464\) −0.166573 0.512660i −0.00773297 0.0237996i
\(465\) 2.17907 + 20.1977i 0.101052 + 0.936645i
\(466\) 9.29045 6.74991i 0.430372 0.312683i
\(467\) 26.9650 + 8.76146i 1.24779 + 0.405432i 0.857129 0.515102i \(-0.172246\pi\)
0.390662 + 0.920534i \(0.372246\pi\)
\(468\) 3.39803 7.74656i 0.157074 0.358085i
\(469\) 0.0457019 + 0.0629032i 0.00211032 + 0.00290460i
\(470\) −23.5525 17.1119i −1.08640 0.789313i
\(471\) −15.2868 8.76984i −0.704378 0.404093i
\(472\) 3.65903i 0.168420i
\(473\) 17.2349 16.3930i 0.792460 0.753749i
\(474\) 19.6743 + 21.7300i 0.903672 + 0.998092i
\(475\) −1.48884 + 0.483752i −0.0683125 + 0.0221961i
\(476\) 1.14223 1.57214i 0.0523539 0.0720590i
\(477\) −29.3221 + 17.1450i −1.34257 + 0.785015i
\(478\) −2.18527 + 6.72556i −0.0999518 + 0.307620i
\(479\) 0.654537 2.01446i 0.0299066 0.0920430i −0.934989 0.354676i \(-0.884591\pi\)
0.964896 + 0.262633i \(0.0845910\pi\)
\(480\) −4.27947 0.897328i −0.195330 0.0409573i
\(481\) 9.07017 12.4840i 0.413564 0.569222i
\(482\) −7.93287 + 2.57755i −0.361332 + 0.117404i
\(483\) −2.50606 + 2.26899i −0.114030 + 0.103243i
\(484\) −6.01222 9.21158i −0.273283 0.418708i
\(485\) 0.128691i 0.00584356i
\(486\) −11.7269 10.2703i −0.531943 0.465872i
\(487\) 26.5592 + 19.2964i 1.20351 + 0.874401i 0.994625 0.103539i \(-0.0330166\pi\)
0.208885 + 0.977940i \(0.433017\pi\)
\(488\) −6.07623 8.36321i −0.275058 0.378585i
\(489\) −4.54670 10.1369i −0.205609 0.458406i
\(490\) 2.40093 + 0.780109i 0.108463 + 0.0352417i
\(491\) 11.5525 8.39336i 0.521356 0.378787i −0.295759 0.955263i \(-0.595572\pi\)
0.817114 + 0.576476i \(0.195572\pi\)
\(492\) 10.0356 1.08271i 0.452439 0.0488124i
\(493\) −0.323698 0.996239i −0.0145786 0.0448683i
\(494\) −3.21488 −0.144644
\(495\) 15.4233 + 19.8255i 0.693225 + 0.891091i
\(496\) 4.64602 0.208612
\(497\) −3.62873 11.1681i −0.162771 0.500957i
\(498\) −4.56930 + 0.492969i −0.204755 + 0.0220905i
\(499\) −27.3474 + 19.8690i −1.22424 + 0.889460i −0.996445 0.0842500i \(-0.973151\pi\)
−0.227792 + 0.973710i \(0.573151\pi\)
\(500\) 8.70811 + 2.82944i 0.389439 + 0.126536i
\(501\) −5.24370 11.6909i −0.234271 0.522309i
\(502\) −10.5766 14.5575i −0.472057 0.649731i
\(503\) 28.6847 + 20.8406i 1.27899 + 0.929238i 0.999522 0.0309182i \(-0.00984314\pi\)
0.279464 + 0.960156i \(0.409843\pi\)
\(504\) −0.639875 2.93097i −0.0285023 0.130556i
\(505\) 34.0680i 1.51601i
\(506\) −5.69249 3.08231i −0.253062 0.137025i
\(507\) −6.48322 + 5.86990i −0.287930 + 0.260691i
\(508\) −20.3852 + 6.62357i −0.904449 + 0.293873i
\(509\) −15.1683 + 20.8774i −0.672323 + 0.925373i −0.999810 0.0194827i \(-0.993798\pi\)
0.327488 + 0.944856i \(0.393798\pi\)
\(510\) −8.31618 1.74376i −0.368247 0.0772148i
\(511\) 2.44396 7.52175i 0.108115 0.332743i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) −1.78417 + 5.64937i −0.0787729 + 0.249426i
\(514\) −13.8716 + 19.0926i −0.611848 + 0.842137i
\(515\) −42.2541 + 13.7292i −1.86194 + 0.604980i
\(516\) 8.33717 + 9.20828i 0.367023 + 0.405372i
\(517\) 37.9145 5.03588i 1.66748 0.221478i
\(518\) 5.47262i 0.240453i
\(519\) −31.7136 18.1937i −1.39207 0.798613i
\(520\) −5.75879 4.18401i −0.252540 0.183481i
\(521\) −12.2166 16.8147i −0.535218 0.736665i 0.452696 0.891665i \(-0.350462\pi\)
−0.987914 + 0.155000i \(0.950462\pi\)
\(522\) −1.48092 0.649605i −0.0648180 0.0284324i
\(523\) 14.0346 + 4.56011i 0.613689 + 0.199400i 0.599336 0.800497i \(-0.295431\pi\)
0.0143530 + 0.999897i \(0.495431\pi\)
\(524\) 6.44326 4.68130i 0.281475 0.204504i
\(525\) −0.255091 2.36442i −0.0111331 0.103192i
\(526\) −2.85581 8.78929i −0.124519 0.383231i
\(527\) 9.02849 0.393287
\(528\) 4.88630 3.02061i 0.212649 0.131455i
\(529\) 19.1904 0.834367
\(530\) 8.83258 + 27.1839i 0.383663 + 1.18079i
\(531\) −8.19787 7.30010i −0.355757 0.316797i
\(532\) −0.922404 + 0.670165i −0.0399913 + 0.0290554i
\(533\) 15.6280 + 5.07784i 0.676923 + 0.219946i
\(534\) 1.48305 0.665191i 0.0641777 0.0287856i
\(535\) −12.1884 16.7759i −0.526950 0.725284i
\(536\) −0.0629032 0.0457019i −0.00271700 0.00197402i
\(537\) 11.9144 20.7681i 0.514145 0.896211i
\(538\) 10.3816i 0.447582i
\(539\) −2.99189 + 1.43128i −0.128870 + 0.0616497i
\(540\) −10.5484 + 7.79768i −0.453929 + 0.335559i
\(541\) 8.65944 2.81362i 0.372298 0.120967i −0.116891 0.993145i \(-0.537293\pi\)
0.489189 + 0.872178i \(0.337293\pi\)
\(542\) 3.36785 4.63545i 0.144662 0.199110i
\(543\) 3.69750 17.6338i 0.158675 0.756741i
\(544\) −0.600505 + 1.84816i −0.0257464 + 0.0792394i
\(545\) 1.00876 3.10463i 0.0432103 0.132988i
\(546\) 1.00226 4.77990i 0.0428927 0.204561i
\(547\) 7.16764 9.86541i 0.306466 0.421815i −0.627809 0.778367i \(-0.716048\pi\)
0.934275 + 0.356553i \(0.116048\pi\)
\(548\) −7.17933 + 2.33271i −0.306686 + 0.0996483i
\(549\) −30.8600 3.07189i −1.31707 0.131105i
\(550\) 4.10793 1.96518i 0.175163 0.0837956i
\(551\) 0.614591i 0.0261825i
\(552\) 1.68225 2.93235i 0.0716014 0.124809i
\(553\) 13.6919 + 9.94772i 0.582237 + 0.423020i
\(554\) −5.53747 7.62168i −0.235265 0.323814i
\(555\) −21.8336 + 9.79301i −0.926784 + 0.415690i
\(556\) −17.5919 5.71596i −0.746063 0.242411i
\(557\) 11.4718 8.33476i 0.486076 0.353155i −0.317597 0.948226i \(-0.602876\pi\)
0.803673 + 0.595071i \(0.202876\pi\)
\(558\) 9.26923 10.4092i 0.392398 0.440655i
\(559\) 6.24895 + 19.2323i 0.264302 + 0.813439i
\(560\) −2.52448 −0.106679
\(561\) 9.49542 5.86987i 0.400897 0.247826i
\(562\) −2.24599 −0.0947415
\(563\) −3.87311 11.9202i −0.163232 0.502377i 0.835669 0.549233i \(-0.185080\pi\)
−0.998902 + 0.0468556i \(0.985080\pi\)
\(564\) 2.14252 + 19.8589i 0.0902163 + 0.836210i
\(565\) −17.4618 + 12.6867i −0.734623 + 0.533735i
\(566\) −20.7177 6.73160i −0.870831 0.282950i
\(567\) −7.84329 4.41394i −0.329387 0.185368i
\(568\) 6.90226 + 9.50014i 0.289612 + 0.398617i
\(569\) −6.47128 4.70166i −0.271290 0.197104i 0.443819 0.896116i \(-0.353623\pi\)
−0.715109 + 0.699012i \(0.753623\pi\)
\(570\) 4.32429 + 2.48079i 0.181125 + 0.103909i
\(571\) 5.86022i 0.245243i 0.992454 + 0.122621i \(0.0391301\pi\)
−0.992454 + 0.122621i \(0.960870\pi\)
\(572\) 9.27044 1.23132i 0.387616 0.0514839i
\(573\) 30.0603 + 33.2011i 1.25579 + 1.38700i
\(574\) 5.54244 1.80085i 0.231337 0.0751660i
\(575\) 1.57519 2.16806i 0.0656900 0.0904145i
\(576\) 1.51428 + 2.58978i 0.0630948 + 0.107908i
\(577\) 3.52423 10.8465i 0.146716 0.451544i −0.850512 0.525956i \(-0.823708\pi\)
0.997228 + 0.0744115i \(0.0237078\pi\)
\(578\) 4.08634 12.5765i 0.169969 0.523112i
\(579\) −11.7959 2.47338i −0.490220 0.102790i
\(580\) −0.799861 + 1.10091i −0.0332124 + 0.0457130i
\(581\) −2.52353 + 0.819945i −0.104694 + 0.0340170i
\(582\) 0.0654532 0.0592613i 0.00271312 0.00245646i
\(583\) −33.0216 17.8801i −1.36761 0.740520i
\(584\) 7.90883i 0.327270i
\(585\) −20.8634 + 4.55480i −0.862595 + 0.188318i
\(586\) −3.23645 2.35142i −0.133696 0.0971361i
\(587\) 24.0085 + 33.0449i 0.990938 + 1.36391i 0.930723 + 0.365724i \(0.119178\pi\)
0.0602145 + 0.998185i \(0.480822\pi\)
\(588\) −0.708840 1.58036i −0.0292321 0.0651731i
\(589\) −5.03791 1.63692i −0.207584 0.0674480i
\(590\) −7.47302 + 5.42947i −0.307659 + 0.223528i
\(591\) 4.39622 0.474295i 0.180836 0.0195099i
\(592\) 1.69113 + 5.20477i 0.0695051 + 0.213915i
\(593\) 21.7746 0.894177 0.447089 0.894490i \(-0.352461\pi\)
0.447089 + 0.894490i \(0.352461\pi\)
\(594\) 2.98109 16.9739i 0.122316 0.696447i
\(595\) −4.90577 −0.201117
\(596\) −4.89868 15.0766i −0.200658 0.617562i
\(597\) −23.8135 + 2.56917i −0.974622 + 0.105149i
\(598\) 4.45242 3.23487i 0.182073 0.132284i
\(599\) 33.1497 + 10.7710i 1.35446 + 0.440091i 0.894190 0.447687i \(-0.147752\pi\)
0.460271 + 0.887778i \(0.347752\pi\)
\(600\) 0.973252 + 2.16987i 0.0397328 + 0.0885846i
\(601\) 0.813756 + 1.12004i 0.0331938 + 0.0456873i 0.825291 0.564707i \(-0.191011\pi\)
−0.792098 + 0.610395i \(0.791011\pi\)
\(602\) 5.80204 + 4.21543i 0.236474 + 0.171808i
\(603\) −0.227890 + 0.0497520i −0.00928041 + 0.00202606i
\(604\) 12.2241i 0.497393i
\(605\) −9.89202 + 25.9477i −0.402168 + 1.05492i
\(606\) 17.3272 15.6881i 0.703870 0.637284i
\(607\) −7.17914 + 2.33264i −0.291392 + 0.0946791i −0.451066 0.892491i \(-0.648956\pi\)
0.159673 + 0.987170i \(0.448956\pi\)
\(608\) 0.670165 0.922404i 0.0271788 0.0374084i
\(609\) −0.913777 0.191603i −0.0370281 0.00776414i
\(610\) −8.06437 + 24.8196i −0.326517 + 1.00491i
\(611\) −10.0483 + 30.9253i −0.406509 + 1.25111i
\(612\) 2.94265 + 5.03266i 0.118950 + 0.203433i
\(613\) −10.1137 + 13.9204i −0.408490 + 0.562238i −0.962849 0.270039i \(-0.912963\pi\)
0.554359 + 0.832277i \(0.312963\pi\)
\(614\) −12.2209 + 3.97082i −0.493196 + 0.160249i
\(615\) −17.1026 18.8896i −0.689644 0.761702i
\(616\) 2.40317 2.28578i 0.0968264 0.0920966i
\(617\) 30.1180i 1.21251i −0.795272 0.606253i \(-0.792672\pi\)
0.795272 0.606253i \(-0.207328\pi\)
\(618\) 26.4404 + 15.1685i 1.06359 + 0.610168i
\(619\) −15.9358 11.5781i −0.640516 0.465362i 0.219512 0.975610i \(-0.429554\pi\)
−0.860027 + 0.510248i \(0.829554\pi\)
\(620\) −6.89402 9.48880i −0.276870 0.381079i
\(621\) −3.21354 9.61931i −0.128955 0.386010i
\(622\) −11.0050 3.57573i −0.441258 0.143374i
\(623\) 0.759199 0.551590i 0.0304167 0.0220990i
\(624\) 0.523865 + 4.85567i 0.0209714 + 0.194382i
\(625\) −9.26430 28.5126i −0.370572 1.14050i
\(626\) −28.1225 −1.12400
\(627\) −6.36270 + 1.55383i −0.254102 + 0.0620538i
\(628\) 10.1751 0.406029
\(629\) 3.28634 + 10.1143i 0.131035 + 0.403284i
\(630\) −5.03658 + 5.65598i −0.200662 + 0.225340i
\(631\) −21.3831 + 15.5357i −0.851247 + 0.618467i −0.925490 0.378773i \(-0.876346\pi\)
0.0742428 + 0.997240i \(0.476346\pi\)
\(632\) −16.0957 5.22983i −0.640255 0.208031i
\(633\) 39.7693 17.8377i 1.58069 0.708986i
\(634\) 2.32995 + 3.20690i 0.0925340 + 0.127362i
\(635\) 43.7764 + 31.8054i 1.73721 + 1.26216i
\(636\) 9.75858 17.0103i 0.386953 0.674501i
\(637\) 2.81969i 0.111720i
\(638\) −0.235392 1.77224i −0.00931926 0.0701636i
\(639\) 35.0552 + 3.48950i 1.38676 + 0.138043i
\(640\) 2.40093 0.780109i 0.0949050 0.0308365i
\(641\) 6.50661 8.95557i 0.256995 0.353724i −0.660950 0.750430i \(-0.729847\pi\)
0.917946 + 0.396706i \(0.129847\pi\)
\(642\) −2.91967 + 13.9243i −0.115230 + 0.549547i
\(643\) −0.699774 + 2.15368i −0.0275964 + 0.0849330i −0.963906 0.266242i \(-0.914218\pi\)
0.936310 + 0.351175i \(0.114218\pi\)
\(644\) 0.603142 1.85628i 0.0237671 0.0731477i
\(645\) 6.43539 30.6912i 0.253393 1.20846i
\(646\) 1.30232 1.79248i 0.0512389 0.0705243i
\(647\) −6.52587 + 2.12038i −0.256558 + 0.0833609i −0.434472 0.900685i \(-0.643065\pi\)
0.177914 + 0.984046i \(0.443065\pi\)
\(648\) 8.82339 + 1.77419i 0.346616 + 0.0696970i
\(649\) 2.19783 11.9349i 0.0862723 0.468488i
\(650\) 3.87149i 0.151852i
\(651\) 4.00438 6.98007i 0.156944 0.273571i
\(652\) 5.18926 + 3.77022i 0.203227 + 0.147653i
\(653\) 8.19471 + 11.2790i 0.320684 + 0.441383i 0.938676 0.344801i \(-0.112054\pi\)
−0.617992 + 0.786184i \(0.712054\pi\)
\(654\) −2.04356 + 0.916598i −0.0799095 + 0.0358418i
\(655\) −19.1217 6.21303i −0.747148 0.242763i
\(656\) −4.71469 + 3.42542i −0.184078 + 0.133740i
\(657\) 17.7193 + 15.7788i 0.691297 + 0.615592i
\(658\) 3.56360 + 10.9676i 0.138924 + 0.427563i
\(659\) −6.67904 −0.260178 −0.130089 0.991502i \(-0.541526\pi\)
−0.130089 + 0.991502i \(0.541526\pi\)
\(660\) −13.4197 5.49739i −0.522361 0.213986i
\(661\) −28.4650 −1.10716 −0.553580 0.832796i \(-0.686739\pi\)
−0.553580 + 0.832796i \(0.686739\pi\)
\(662\) 10.6396 + 32.7455i 0.413522 + 1.27269i
\(663\) 1.01801 + 9.43589i 0.0395363 + 0.366460i
\(664\) 2.14664 1.55963i 0.0833059 0.0605253i
\(665\) 2.73743 + 0.889444i 0.106153 + 0.0344911i
\(666\) 15.0350 + 6.59510i 0.582594 + 0.255555i
\(667\) −0.618413 0.851173i −0.0239451 0.0329575i
\(668\) 5.98476 + 4.34819i 0.231557 + 0.168236i
\(669\) 0.889869 + 0.510506i 0.0344043 + 0.0197373i
\(670\) 0.196285i 0.00758316i
\(671\) −14.7959 30.9287i −0.571189 1.19399i
\(672\) 1.16251 + 1.28397i 0.0448446 + 0.0495302i
\(673\) 19.3493 6.28698i 0.745862 0.242345i 0.0886623 0.996062i \(-0.471741\pi\)
0.657200 + 0.753716i \(0.271741\pi\)
\(674\) 9.02974 12.4284i 0.347812 0.478723i
\(675\) 6.80321 + 2.14857i 0.261856 + 0.0826985i
\(676\) 1.56034 4.80222i 0.0600129 0.184701i
\(677\) −2.63176 + 8.09974i −0.101147 + 0.311298i −0.988807 0.149201i \(-0.952330\pi\)
0.887660 + 0.460500i \(0.152330\pi\)
\(678\) 14.4936 + 3.03904i 0.556622 + 0.116714i
\(679\) 0.0299636 0.0412414i 0.00114990 0.00158270i
\(680\) 4.66566 1.51596i 0.178920 0.0581346i
\(681\) 24.6229 22.2935i 0.943551 0.854290i
\(682\) 15.1543 + 2.79067i 0.580288 + 0.106860i
\(683\) 39.4066i 1.50785i −0.656959 0.753927i \(-0.728157\pi\)
0.656959 0.753927i \(-0.271843\pi\)
\(684\) −0.729556 3.34175i −0.0278953 0.127775i
\(685\) 15.4173 + 11.2013i 0.589064 + 0.427980i
\(686\) −0.587785 0.809017i −0.0224417 0.0308884i
\(687\) −18.5025 41.2514i −0.705914 1.57384i
\(688\) −6.82071 2.21618i −0.260037 0.0844912i
\(689\) 25.8280 18.7652i 0.983970 0.714896i
\(690\) −8.48511 + 0.915435i −0.323023 + 0.0348500i
\(691\) −9.94210 30.5986i −0.378215 1.16403i −0.941284 0.337616i \(-0.890379\pi\)
0.563069 0.826410i \(-0.309621\pi\)
\(692\) 21.1089 0.802440
\(693\) −0.326623 9.94451i −0.0124074 0.377761i
\(694\) 27.3334 1.03756
\(695\) 14.4298 + 44.4105i 0.547355 + 1.68459i
\(696\) 0.928262 0.100148i 0.0351857 0.00379609i
\(697\) −9.16193 + 6.65653i −0.347033 + 0.252134i
\(698\) 33.4953 + 10.8833i 1.26781 + 0.411938i
\(699\) 8.14006 + 18.1483i 0.307885 + 0.686432i
\(700\) 0.807041 + 1.11080i 0.0305033 + 0.0419842i
\(701\) 35.0108 + 25.4369i 1.32234 + 0.960737i 0.999900 + 0.0141470i \(0.00450328\pi\)
0.322441 + 0.946590i \(0.395497\pi\)
\(702\) 11.9240 + 8.51381i 0.450044 + 0.321333i
\(703\) 6.23963i 0.235332i
\(704\) −1.57921 + 2.91652i −0.0595186 + 0.109921i
\(705\) 37.3796 33.8435i 1.40780 1.27462i
\(706\) 8.29189 2.69420i 0.312070 0.101398i
\(707\) 7.93218 10.9177i 0.298320 0.410603i
\(708\) 6.20274 + 1.30060i 0.233113 + 0.0488796i
\(709\) −3.61390 + 11.1224i −0.135723 + 0.417711i −0.995702 0.0926179i \(-0.970476\pi\)
0.859979 + 0.510329i \(0.170476\pi\)
\(710\) 9.16067 28.1937i 0.343794 1.05809i
\(711\) −43.8296 + 25.6277i −1.64374 + 0.961114i
\(712\) −0.551590 + 0.759199i −0.0206717 + 0.0284522i
\(713\) 8.62431 2.80221i 0.322983 0.104944i
\(714\) 2.25907 + 2.49511i 0.0845435 + 0.0933770i
\(715\) −16.2708 17.1064i −0.608492 0.639743i
\(716\) 13.8235i 0.516609i
\(717\) −10.6243 6.09503i −0.396772 0.227623i
\(718\) −26.4454 19.2137i −0.986932 0.717048i
\(719\) −15.8946 21.8771i −0.592770 0.815878i 0.402252 0.915529i \(-0.368227\pi\)
−0.995022 + 0.0996506i \(0.968227\pi\)
\(720\) 3.04228 6.93554i 0.113379 0.258472i
\(721\) 16.7377 + 5.43841i 0.623345 + 0.202537i
\(722\) 14.3196 10.4038i 0.532922 0.387190i
\(723\) −1.54968 14.3639i −0.0576332 0.534199i
\(724\) 3.21449 + 9.89318i 0.119466 + 0.367677i
\(725\) 0.740117 0.0274872
\(726\) 17.7524 6.91757i 0.658853 0.256735i
\(727\) −15.6906 −0.581932 −0.290966 0.956733i \(-0.593977\pi\)
−0.290966 + 0.956733i \(0.593977\pi\)
\(728\) 0.871332 + 2.68168i 0.0322937 + 0.0993898i
\(729\) 21.5785 16.2287i 0.799202 0.601062i
\(730\) 16.1526 11.7356i 0.597835 0.434353i
\(731\) −13.2545 4.30665i −0.490236 0.159287i
\(732\) 16.3370 7.32763i 0.603832 0.270837i
\(733\) −19.4506 26.7715i −0.718426 0.988829i −0.999575 0.0291644i \(-0.990715\pi\)
0.281149 0.959664i \(-0.409285\pi\)
\(734\) 18.8187 + 13.6726i 0.694611 + 0.504665i
\(735\) −2.17584 + 3.79273i −0.0802570 + 0.139897i
\(736\) 1.95181i 0.0719446i
\(737\) −0.177725 0.186853i −0.00654659 0.00688281i
\(738\) −1.73175 + 17.3970i −0.0637467 + 0.640394i
\(739\) −30.9838 + 10.0673i −1.13976 + 0.370330i −0.817277 0.576245i \(-0.804517\pi\)
−0.322482 + 0.946576i \(0.604517\pi\)
\(740\) 8.12057 11.1770i 0.298518 0.410875i
\(741\) 1.14273 5.44982i 0.0419792 0.200204i
\(742\) 3.49876 10.7681i 0.128444 0.395309i
\(743\) −1.76778 + 5.44066i −0.0648535 + 0.199599i −0.978233 0.207512i \(-0.933464\pi\)
0.913379 + 0.407110i \(0.133464\pi\)
\(744\) −1.65143 + 7.87587i −0.0605443 + 0.288743i
\(745\) −23.5228 + 32.3763i −0.861808 + 1.18618i
\(746\) 5.07985 1.65054i 0.185987 0.0604307i
\(747\) 0.788485 7.92104i 0.0288491 0.289816i
\(748\) −3.06883 + 5.66760i −0.112208 + 0.207228i
\(749\) 8.21400i 0.300133i
\(750\) −7.89172 + 13.7561i −0.288165 + 0.502303i
\(751\) 10.8574 + 7.88833i 0.396191 + 0.287849i 0.767988 0.640465i \(-0.221258\pi\)
−0.371797 + 0.928314i \(0.621258\pi\)
\(752\) −6.77838 9.32963i −0.247182 0.340217i
\(753\) 28.4371 12.7549i 1.03630 0.464813i
\(754\) 1.44554 + 0.469685i 0.0526435 + 0.0171049i
\(755\) 24.9660 18.1388i 0.908605 0.660140i
\(756\) 5.19598 0.0428954i 0.188976 0.00156009i
\(757\) 8.49806 + 26.1543i 0.308867 + 0.950596i 0.978206 + 0.207638i \(0.0665776\pi\)
−0.669339 + 0.742958i \(0.733422\pi\)
\(758\) 26.9640 0.979378
\(759\) 7.24848 8.55423i 0.263103 0.310499i
\(760\) −2.87830 −0.104407
\(761\) 11.0811 + 34.1040i 0.401689 + 1.23627i 0.923629 + 0.383289i \(0.125209\pi\)
−0.521940 + 0.852982i \(0.674791\pi\)
\(762\) −3.98224 36.9111i −0.144261 1.33715i
\(763\) −1.04614 + 0.760063i −0.0378727 + 0.0275161i
\(764\) −24.5926 7.99061i −0.889728 0.289090i
\(765\) 5.91198 13.4777i 0.213748 0.487286i
\(766\) −2.57719 3.54719i −0.0931175 0.128165i
\(767\) 8.34689 + 6.06437i 0.301389 + 0.218972i
\(768\) −1.50238 0.861894i −0.0542124 0.0311009i
\(769\) 48.1955i 1.73797i −0.494835 0.868987i \(-0.664771\pi\)
0.494835 0.868987i \(-0.335229\pi\)
\(770\) −8.23431 1.51635i −0.296744 0.0546456i
\(771\) −27.4348 30.3013i −0.988040 1.09128i
\(772\) 6.61788 2.15028i 0.238183 0.0773903i
\(773\) 3.25071 4.47421i 0.116920 0.160926i −0.746546 0.665334i \(-0.768289\pi\)
0.863466 + 0.504408i \(0.168289\pi\)