Properties

Label 546.2.q.i.251.6
Level $546$
Weight $2$
Character 546.251
Analytic conductor $4.360$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.6
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.i.335.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.0267080 + 1.73184i) q^{3} +(-0.500000 - 0.866025i) q^{4} -0.655349i q^{5} +(-1.48647 - 0.889052i) q^{6} +(-2.06312 - 1.65636i) q^{7} +1.00000 q^{8} +(-2.99857 - 0.0925084i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.0267080 + 1.73184i) q^{3} +(-0.500000 - 0.866025i) q^{4} -0.655349i q^{5} +(-1.48647 - 0.889052i) q^{6} +(-2.06312 - 1.65636i) q^{7} +1.00000 q^{8} +(-2.99857 - 0.0925084i) q^{9} +(0.567549 + 0.327675i) q^{10} +(-0.366849 + 0.635401i) q^{11} +(1.51318 - 0.842793i) q^{12} +(-0.424437 - 3.58048i) q^{13} +(2.46601 - 0.958534i) q^{14} +(1.13496 + 0.0175031i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.581815 - 1.00773i) q^{17} +(1.57940 - 2.55059i) q^{18} +(-2.51943 - 4.36378i) q^{19} +(-0.567549 + 0.327675i) q^{20} +(2.92366 - 3.52877i) q^{21} +(-0.366849 - 0.635401i) q^{22} +(-5.55559 - 3.20752i) q^{23} +(-0.0267080 + 1.73184i) q^{24} +4.57052 q^{25} +(3.31301 + 1.42267i) q^{26} +(0.240296 - 5.19059i) q^{27} +(-0.402891 + 2.61490i) q^{28} +(0.839009 + 0.484402i) q^{29} +(-0.582640 + 0.974155i) q^{30} -4.20440 q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.09062 - 0.652295i) q^{33} +1.16363 q^{34} +(-1.08550 + 1.35206i) q^{35} +(1.41917 + 2.64309i) q^{36} +(3.59978 + 2.07834i) q^{37} +5.03886 q^{38} +(6.21218 - 0.639432i) q^{39} -0.655349i q^{40} +(-4.22814 - 2.44112i) q^{41} +(1.59417 + 4.29635i) q^{42} +(3.81091 + 6.60069i) q^{43} +0.733697 q^{44} +(-0.0606253 + 1.96511i) q^{45} +(5.55559 - 3.20752i) q^{46} -6.48204i q^{47} +(-1.48647 - 0.889052i) q^{48} +(1.51293 + 6.83455i) q^{49} +(-2.28526 + 3.95818i) q^{50} +(1.76078 - 0.980698i) q^{51} +(-2.88857 + 2.15781i) q^{52} -1.29577i q^{53} +(4.37504 + 2.80340i) q^{54} +(0.416409 + 0.240414i) q^{55} +(-2.06312 - 1.65636i) q^{56} +(7.62467 - 4.24671i) q^{57} +(-0.839009 + 0.484402i) q^{58} +(2.15803 - 1.24594i) q^{59} +(-0.552323 - 0.991658i) q^{60} +(-0.932808 + 0.538557i) q^{61} +(2.10220 - 3.64112i) q^{62} +(6.03319 + 5.15758i) q^{63} +1.00000 q^{64} +(-2.34647 + 0.278155i) q^{65} +(1.11021 - 0.618355i) q^{66} +(-5.07874 - 2.93221i) q^{67} +(-0.581815 + 1.00773i) q^{68} +(5.70331 - 9.53575i) q^{69} +(-0.628174 - 1.61610i) q^{70} +(-4.09978 - 7.10103i) q^{71} +(-2.99857 - 0.0925084i) q^{72} +6.93011 q^{73} +(-3.59978 + 2.07834i) q^{74} +(-0.122070 + 7.91543i) q^{75} +(-2.51943 + 4.36378i) q^{76} +(1.80931 - 0.703274i) q^{77} +(-2.55232 + 5.69962i) q^{78} -13.1952 q^{79} +(0.567549 + 0.327675i) q^{80} +(8.98288 + 0.554786i) q^{81} +(4.22814 - 2.44112i) q^{82} +12.5007i q^{83} +(-4.51783 - 0.767584i) q^{84} +(-0.660417 + 0.381292i) q^{85} -7.62182 q^{86} +(-0.861317 + 1.44010i) q^{87} +(-0.366849 + 0.635401i) q^{88} +(-12.6797 - 7.32065i) q^{89} +(-1.67152 - 1.03506i) q^{90} +(-5.05491 + 8.08999i) q^{91} +6.41504i q^{92} +(0.112291 - 7.28137i) q^{93} +(5.61361 + 3.24102i) q^{94} +(-2.85980 + 1.65110i) q^{95} +(1.51318 - 0.842793i) q^{96} +(-3.36975 - 5.83658i) q^{97} +(-6.67536 - 2.10704i) q^{98} +(1.15880 - 1.87136i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 12q^{4} - 18q^{7} + 24q^{8} - 12q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 12q^{4} - 18q^{7} + 24q^{8} - 12q^{9} + 6q^{15} - 12q^{16} + 6q^{18} - 12q^{21} + 36q^{23} - 12q^{25} + 18q^{28} - 12q^{30} - 12q^{32} + 36q^{35} + 6q^{36} + 36q^{37} + 12q^{39} + 24q^{42} - 42q^{43} - 36q^{46} + 6q^{50} + 12q^{51} - 18q^{56} + 36q^{57} + 6q^{60} + 24q^{63} + 24q^{64} - 66q^{65} - 54q^{67} - 48q^{71} - 12q^{72} - 36q^{74} - 42q^{78} - 48q^{79} + 84q^{81} - 12q^{84} + 84q^{86} + 36q^{91} - 18q^{93} + 36q^{95} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −0.0267080 + 1.73184i −0.0154199 + 0.999881i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.655349i 0.293081i −0.989205 0.146541i \(-0.953186\pi\)
0.989205 0.146541i \(-0.0468139\pi\)
\(6\) −1.48647 0.889052i −0.606848 0.362954i
\(7\) −2.06312 1.65636i −0.779786 0.626046i
\(8\) 1.00000 0.353553
\(9\) −2.99857 0.0925084i −0.999524 0.0308361i
\(10\) 0.567549 + 0.327675i 0.179475 + 0.103620i
\(11\) −0.366849 + 0.635401i −0.110609 + 0.191580i −0.916016 0.401142i \(-0.868613\pi\)
0.805407 + 0.592722i \(0.201947\pi\)
\(12\) 1.51318 0.842793i 0.436816 0.243293i
\(13\) −0.424437 3.58048i −0.117718 0.993047i
\(14\) 2.46601 0.958534i 0.659069 0.256179i
\(15\) 1.13496 + 0.0175031i 0.293046 + 0.00451928i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.581815 1.00773i −0.141111 0.244411i 0.786804 0.617202i \(-0.211734\pi\)
−0.927915 + 0.372791i \(0.878401\pi\)
\(18\) 1.57940 2.55059i 0.372268 0.601179i
\(19\) −2.51943 4.36378i −0.577996 1.00112i −0.995709 0.0925398i \(-0.970501\pi\)
0.417713 0.908579i \(-0.362832\pi\)
\(20\) −0.567549 + 0.327675i −0.126908 + 0.0732703i
\(21\) 2.92366 3.52877i 0.637996 0.770040i
\(22\) −0.366849 0.635401i −0.0782124 0.135468i
\(23\) −5.55559 3.20752i −1.15842 0.668815i −0.207496 0.978236i \(-0.566531\pi\)
−0.950925 + 0.309421i \(0.899865\pi\)
\(24\) −0.0267080 + 1.73184i −0.00545176 + 0.353511i
\(25\) 4.57052 0.914104
\(26\) 3.31301 + 1.42267i 0.649734 + 0.279008i
\(27\) 0.240296 5.19059i 0.0462450 0.998930i
\(28\) −0.402891 + 2.61490i −0.0761393 + 0.494169i
\(29\) 0.839009 + 0.484402i 0.155800 + 0.0899512i 0.575873 0.817539i \(-0.304662\pi\)
−0.420073 + 0.907490i \(0.637996\pi\)
\(30\) −0.582640 + 0.974155i −0.106375 + 0.177856i
\(31\) −4.20440 −0.755132 −0.377566 0.925983i \(-0.623239\pi\)
−0.377566 + 0.925983i \(0.623239\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −1.09062 0.652295i −0.189852 0.113550i
\(34\) 1.16363 0.199561
\(35\) −1.08550 + 1.35206i −0.183482 + 0.228541i
\(36\) 1.41917 + 2.64309i 0.236529 + 0.440516i
\(37\) 3.59978 + 2.07834i 0.591801 + 0.341676i 0.765809 0.643068i \(-0.222339\pi\)
−0.174008 + 0.984744i \(0.555672\pi\)
\(38\) 5.03886 0.817410
\(39\) 6.21218 0.639432i 0.994744 0.102391i
\(40\) 0.655349i 0.103620i
\(41\) −4.22814 2.44112i −0.660324 0.381238i 0.132076 0.991240i \(-0.457836\pi\)
−0.792401 + 0.610001i \(0.791169\pi\)
\(42\) 1.59417 + 4.29635i 0.245986 + 0.662941i
\(43\) 3.81091 + 6.60069i 0.581158 + 1.00660i 0.995342 + 0.0964026i \(0.0307336\pi\)
−0.414184 + 0.910193i \(0.635933\pi\)
\(44\) 0.733697 0.110609
\(45\) −0.0606253 + 1.96511i −0.00903748 + 0.292942i
\(46\) 5.55559 3.20752i 0.819127 0.472923i
\(47\) 6.48204i 0.945503i −0.881196 0.472752i \(-0.843261\pi\)
0.881196 0.472752i \(-0.156739\pi\)
\(48\) −1.48647 0.889052i −0.214553 0.128324i
\(49\) 1.51293 + 6.83455i 0.216133 + 0.976364i
\(50\) −2.28526 + 3.95818i −0.323184 + 0.559772i
\(51\) 1.76078 0.980698i 0.246558 0.137325i
\(52\) −2.88857 + 2.15781i −0.400573 + 0.299235i
\(53\) 1.29577i 0.177987i −0.996032 0.0889937i \(-0.971635\pi\)
0.996032 0.0889937i \(-0.0283651\pi\)
\(54\) 4.37504 + 2.80340i 0.595367 + 0.381494i
\(55\) 0.416409 + 0.240414i 0.0561486 + 0.0324174i
\(56\) −2.06312 1.65636i −0.275696 0.221341i
\(57\) 7.62467 4.24671i 1.00991 0.562490i
\(58\) −0.839009 + 0.484402i −0.110167 + 0.0636051i
\(59\) 2.15803 1.24594i 0.280952 0.162208i −0.352902 0.935660i \(-0.614805\pi\)
0.633854 + 0.773452i \(0.281472\pi\)
\(60\) −0.552323 0.991658i −0.0713046 0.128023i
\(61\) −0.932808 + 0.538557i −0.119434 + 0.0689551i −0.558527 0.829486i \(-0.688633\pi\)
0.439093 + 0.898442i \(0.355300\pi\)
\(62\) 2.10220 3.64112i 0.266980 0.462422i
\(63\) 6.03319 + 5.15758i 0.760111 + 0.649794i
\(64\) 1.00000 0.125000
\(65\) −2.34647 + 0.278155i −0.291043 + 0.0345008i
\(66\) 1.11021 0.618355i 0.136658 0.0761142i
\(67\) −5.07874 2.93221i −0.620466 0.358226i 0.156584 0.987665i \(-0.449952\pi\)
−0.777051 + 0.629438i \(0.783285\pi\)
\(68\) −0.581815 + 1.00773i −0.0705554 + 0.122205i
\(69\) 5.70331 9.53575i 0.686598 1.14797i
\(70\) −0.628174 1.61610i −0.0750812 0.193161i
\(71\) −4.09978 7.10103i −0.486555 0.842738i 0.513326 0.858194i \(-0.328413\pi\)
−0.999881 + 0.0154562i \(0.995080\pi\)
\(72\) −2.99857 0.0925084i −0.353385 0.0109022i
\(73\) 6.93011 0.811108 0.405554 0.914071i \(-0.367079\pi\)
0.405554 + 0.914071i \(0.367079\pi\)
\(74\) −3.59978 + 2.07834i −0.418466 + 0.241602i
\(75\) −0.122070 + 7.91543i −0.0140954 + 0.913995i
\(76\) −2.51943 + 4.36378i −0.288998 + 0.500560i
\(77\) 1.80931 0.703274i 0.206190 0.0801455i
\(78\) −2.55232 + 5.69962i −0.288994 + 0.645355i
\(79\) −13.1952 −1.48457 −0.742287 0.670082i \(-0.766259\pi\)
−0.742287 + 0.670082i \(0.766259\pi\)
\(80\) 0.567549 + 0.327675i 0.0634539 + 0.0366351i
\(81\) 8.98288 + 0.554786i 0.998098 + 0.0616429i
\(82\) 4.22814 2.44112i 0.466920 0.269576i
\(83\) 12.5007i 1.37213i 0.727539 + 0.686066i \(0.240664\pi\)
−0.727539 + 0.686066i \(0.759336\pi\)
\(84\) −4.51783 0.767584i −0.492936 0.0837503i
\(85\) −0.660417 + 0.381292i −0.0716322 + 0.0413569i
\(86\) −7.62182 −0.821882
\(87\) −0.861317 + 1.44010i −0.0923429 + 0.154394i
\(88\) −0.366849 + 0.635401i −0.0391062 + 0.0677339i
\(89\) −12.6797 7.32065i −1.34405 0.775987i −0.356650 0.934238i \(-0.616081\pi\)
−0.987399 + 0.158251i \(0.949414\pi\)
\(90\) −1.67152 1.03506i −0.176194 0.109105i
\(91\) −5.05491 + 8.08999i −0.529898 + 0.848061i
\(92\) 6.41504i 0.668815i
\(93\) 0.112291 7.28137i 0.0116441 0.755043i
\(94\) 5.61361 + 3.24102i 0.579000 + 0.334286i
\(95\) −2.85980 + 1.65110i −0.293409 + 0.169400i
\(96\) 1.51318 0.842793i 0.154438 0.0860172i
\(97\) −3.36975 5.83658i −0.342146 0.592615i 0.642685 0.766131i \(-0.277820\pi\)
−0.984831 + 0.173516i \(0.944487\pi\)
\(98\) −6.67536 2.10704i −0.674313 0.212843i
\(99\) 1.15880 1.87136i 0.116464 0.188079i
\(100\) −2.28526 3.95818i −0.228526 0.395818i
\(101\) 1.15739 2.00466i 0.115165 0.199471i −0.802681 0.596409i \(-0.796594\pi\)
0.917846 + 0.396938i \(0.129927\pi\)
\(102\) −0.0310783 + 2.01523i −0.00307721 + 0.199537i
\(103\) 11.2924i 1.11268i 0.830956 + 0.556338i \(0.187794\pi\)
−0.830956 + 0.556338i \(0.812206\pi\)
\(104\) −0.424437 3.58048i −0.0416195 0.351095i
\(105\) −2.31257 1.91602i −0.225684 0.186984i
\(106\) 1.12217 + 0.647884i 0.108995 + 0.0629281i
\(107\) −5.35526 3.09186i −0.517713 0.298901i 0.218286 0.975885i \(-0.429954\pi\)
−0.735998 + 0.676983i \(0.763287\pi\)
\(108\) −4.61533 + 2.38719i −0.444111 + 0.229708i
\(109\) 16.2242i 1.55399i −0.629504 0.776997i \(-0.716742\pi\)
0.629504 0.776997i \(-0.283258\pi\)
\(110\) −0.416409 + 0.240414i −0.0397031 + 0.0229226i
\(111\) −3.69550 + 6.17876i −0.350761 + 0.586462i
\(112\) 2.46601 0.958534i 0.233016 0.0905729i
\(113\) −4.96016 + 2.86375i −0.466612 + 0.269399i −0.714820 0.699308i \(-0.753492\pi\)
0.248208 + 0.968707i \(0.420158\pi\)
\(114\) −0.134578 + 8.72652i −0.0126044 + 0.817313i
\(115\) −2.10205 + 3.64085i −0.196017 + 0.339511i
\(116\) 0.968804i 0.0899512i
\(117\) 0.941482 + 10.7756i 0.0870401 + 0.996205i
\(118\) 2.49188i 0.229396i
\(119\) −0.468816 + 3.04277i −0.0429763 + 0.278930i
\(120\) 1.13496 + 0.0175031i 0.103607 + 0.00159781i
\(121\) 5.23084 + 9.06009i 0.475531 + 0.823644i
\(122\) 1.07711i 0.0975173i
\(123\) 4.34056 7.25728i 0.391375 0.654367i
\(124\) 2.10220 + 3.64112i 0.188783 + 0.326982i
\(125\) 6.27203i 0.560987i
\(126\) −7.48319 + 2.64611i −0.666655 + 0.235734i
\(127\) 3.74468 6.48598i 0.332287 0.575537i −0.650673 0.759358i \(-0.725513\pi\)
0.982960 + 0.183821i \(0.0588465\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −11.5332 + 6.42361i −1.01544 + 0.565568i
\(130\) 0.932344 2.17118i 0.0817720 0.190425i
\(131\) −12.5967 −1.10058 −0.550288 0.834975i \(-0.685482\pi\)
−0.550288 + 0.834975i \(0.685482\pi\)
\(132\) −0.0195956 + 1.27065i −0.00170558 + 0.110596i
\(133\) −2.03011 + 13.1761i −0.176033 + 1.14251i
\(134\) 5.07874 2.93221i 0.438736 0.253304i
\(135\) −3.40165 0.157478i −0.292767 0.0135535i
\(136\) −0.581815 1.00773i −0.0498902 0.0864123i
\(137\) 11.1336 + 19.2839i 0.951205 + 1.64753i 0.742824 + 0.669487i \(0.233486\pi\)
0.208381 + 0.978048i \(0.433181\pi\)
\(138\) 5.40655 + 9.70709i 0.460236 + 0.826322i
\(139\) −3.15133 + 1.81942i −0.267293 + 0.154321i −0.627657 0.778490i \(-0.715986\pi\)
0.360364 + 0.932812i \(0.382652\pi\)
\(140\) 1.71367 + 0.264034i 0.144832 + 0.0223150i
\(141\) 11.2259 + 0.173123i 0.945391 + 0.0145796i
\(142\) 8.19957 0.688092
\(143\) 2.43074 + 1.04381i 0.203269 + 0.0872876i
\(144\) 1.57940 2.55059i 0.131617 0.212549i
\(145\) 0.317452 0.549844i 0.0263630 0.0456620i
\(146\) −3.46505 + 6.00165i −0.286770 + 0.496700i
\(147\) −11.8768 + 2.43763i −0.979581 + 0.201052i
\(148\) 4.15667i 0.341676i
\(149\) −10.9093 18.8954i −0.893722 1.54797i −0.835378 0.549675i \(-0.814751\pi\)
−0.0583437 0.998297i \(-0.518582\pi\)
\(150\) −6.79393 4.06343i −0.554722 0.331778i
\(151\) 6.34819i 0.516608i −0.966064 0.258304i \(-0.916836\pi\)
0.966064 0.258304i \(-0.0831636\pi\)
\(152\) −2.51943 4.36378i −0.204353 0.353949i
\(153\) 1.65139 + 3.07558i 0.133507 + 0.248646i
\(154\) −0.295600 + 1.91854i −0.0238201 + 0.154601i
\(155\) 2.75535i 0.221315i
\(156\) −3.65985 5.06019i −0.293023 0.405139i
\(157\) 6.08218i 0.485411i −0.970100 0.242705i \(-0.921965\pi\)
0.970100 0.242705i \(-0.0780349\pi\)
\(158\) 6.59760 11.4274i 0.524877 0.909113i
\(159\) 2.24407 + 0.0346074i 0.177966 + 0.00274455i
\(160\) −0.567549 + 0.327675i −0.0448687 + 0.0259049i
\(161\) 6.14904 + 15.8196i 0.484612 + 1.24676i
\(162\) −4.97190 + 7.50201i −0.390629 + 0.589414i
\(163\) −8.79156 + 5.07581i −0.688608 + 0.397568i −0.803090 0.595857i \(-0.796812\pi\)
0.114482 + 0.993425i \(0.463479\pi\)
\(164\) 4.88223i 0.381238i
\(165\) −0.427481 + 0.714735i −0.0332794 + 0.0556421i
\(166\) −10.8259 6.25036i −0.840256 0.485122i
\(167\) 18.4911 + 10.6759i 1.43089 + 0.826122i 0.997188 0.0749359i \(-0.0238752\pi\)
0.433698 + 0.901058i \(0.357209\pi\)
\(168\) 2.92366 3.52877i 0.225566 0.272250i
\(169\) −12.6397 + 3.03938i −0.972285 + 0.233799i
\(170\) 0.762583i 0.0584875i
\(171\) 7.15100 + 13.3182i 0.546851 + 1.01847i
\(172\) 3.81091 6.60069i 0.290579 0.503298i
\(173\) −3.66961 6.35595i −0.278995 0.483234i 0.692140 0.721763i \(-0.256668\pi\)
−0.971135 + 0.238529i \(0.923335\pi\)
\(174\) −0.816501 1.46597i −0.0618988 0.111135i
\(175\) −9.42953 7.57043i −0.712805 0.572271i
\(176\) −0.366849 0.635401i −0.0276523 0.0478951i
\(177\) 2.10014 + 3.77066i 0.157856 + 0.283420i
\(178\) 12.6797 7.32065i 0.950386 0.548706i
\(179\) −2.15825 1.24607i −0.161315 0.0931353i 0.417169 0.908829i \(-0.363022\pi\)
−0.578484 + 0.815694i \(0.696356\pi\)
\(180\) 1.73215 0.930053i 0.129107 0.0693221i
\(181\) 19.3857i 1.44092i 0.693494 + 0.720462i \(0.256070\pi\)
−0.693494 + 0.720462i \(0.743930\pi\)
\(182\) −4.47868 8.42267i −0.331982 0.624330i
\(183\) −0.907783 1.62986i −0.0671053 0.120483i
\(184\) −5.55559 3.20752i −0.409564 0.236462i
\(185\) 1.36204 2.35912i 0.100139 0.173446i
\(186\) 6.24970 + 3.73793i 0.458250 + 0.274078i
\(187\) 0.853752 0.0624325
\(188\) −5.61361 + 3.24102i −0.409415 + 0.236376i
\(189\) −9.09326 + 10.3108i −0.661437 + 0.750000i
\(190\) 3.30221i 0.239567i
\(191\) −11.8522 + 6.84286i −0.857594 + 0.495132i −0.863206 0.504852i \(-0.831547\pi\)
0.00561166 + 0.999984i \(0.498214\pi\)
\(192\) −0.0267080 + 1.73184i −0.00192749 + 0.124985i
\(193\) 18.7113 + 10.8030i 1.34687 + 0.777615i 0.987805 0.155698i \(-0.0497627\pi\)
0.359064 + 0.933313i \(0.383096\pi\)
\(194\) 6.73950 0.483868
\(195\) −0.419051 4.07114i −0.0300089 0.291541i
\(196\) 5.16243 4.72751i 0.368745 0.337679i
\(197\) 10.6029 18.3647i 0.755423 1.30843i −0.189741 0.981834i \(-0.560765\pi\)
0.945164 0.326596i \(-0.105902\pi\)
\(198\) 1.04124 + 1.93923i 0.0739979 + 0.137815i
\(199\) 2.97067 1.71512i 0.210585 0.121581i −0.390998 0.920391i \(-0.627870\pi\)
0.601583 + 0.798810i \(0.294537\pi\)
\(200\) 4.57052 0.323184
\(201\) 5.21378 8.71727i 0.367751 0.614869i
\(202\) 1.15739 + 2.00466i 0.0814338 + 0.141047i
\(203\) −0.928631 2.38908i −0.0651771 0.167681i
\(204\) −1.72970 1.03453i −0.121103 0.0724314i
\(205\) −1.59978 + 2.77091i −0.111734 + 0.193529i
\(206\) −9.77953 5.64621i −0.681372 0.393390i
\(207\) 16.3621 + 10.1319i 1.13725 + 0.704218i
\(208\) 3.31301 + 1.42267i 0.229716 + 0.0986442i
\(209\) 3.69699 0.255726
\(210\) 2.81561 1.04474i 0.194295 0.0720937i
\(211\) 12.4331 21.5347i 0.855929 1.48251i −0.0198516 0.999803i \(-0.506319\pi\)
0.875781 0.482710i \(-0.160347\pi\)
\(212\) −1.12217 + 0.647884i −0.0770708 + 0.0444969i
\(213\) 12.4074 6.91054i 0.850140 0.473502i
\(214\) 5.35526 3.09186i 0.366078 0.211355i
\(215\) 4.32576 2.49748i 0.295014 0.170326i
\(216\) 0.240296 5.19059i 0.0163501 0.353175i
\(217\) 8.67418 + 6.96401i 0.588842 + 0.472747i
\(218\) 14.0505 + 8.11209i 0.951623 + 0.549420i
\(219\) −0.185090 + 12.0019i −0.0125072 + 0.811011i
\(220\) 0.480828i 0.0324174i
\(221\) −3.36122 + 2.51090i −0.226100 + 0.168901i
\(222\) −3.50321 6.28978i −0.235120 0.422142i
\(223\) −4.26929 + 7.39463i −0.285893 + 0.495181i −0.972825 0.231540i \(-0.925624\pi\)
0.686932 + 0.726721i \(0.258957\pi\)
\(224\) −0.402891 + 2.61490i −0.0269193 + 0.174715i
\(225\) −13.7050 0.422811i −0.913669 0.0281874i
\(226\) 5.72749i 0.380987i
\(227\) 5.99732 3.46256i 0.398056 0.229818i −0.287589 0.957754i \(-0.592854\pi\)
0.685645 + 0.727936i \(0.259520\pi\)
\(228\) −7.49010 4.47981i −0.496044 0.296682i
\(229\) 4.68499 0.309593 0.154796 0.987946i \(-0.450528\pi\)
0.154796 + 0.987946i \(0.450528\pi\)
\(230\) −2.10205 3.64085i −0.138605 0.240071i
\(231\) 1.16964 + 3.15222i 0.0769565 + 0.207401i
\(232\) 0.839009 + 0.484402i 0.0550836 + 0.0318025i
\(233\) 8.61388i 0.564314i 0.959368 + 0.282157i \(0.0910499\pi\)
−0.959368 + 0.282157i \(0.908950\pi\)
\(234\) −9.80269 4.57245i −0.640822 0.298911i
\(235\) −4.24800 −0.277109
\(236\) −2.15803 1.24594i −0.140476 0.0811039i
\(237\) 0.352418 22.8520i 0.0228920 1.48440i
\(238\) −2.40071 1.92739i −0.155615 0.124934i
\(239\) 10.2610 0.663727 0.331864 0.943327i \(-0.392323\pi\)
0.331864 + 0.943327i \(0.392323\pi\)
\(240\) −0.582640 + 0.974155i −0.0376092 + 0.0628815i
\(241\) −8.05368 13.9494i −0.518783 0.898559i −0.999762 0.0218264i \(-0.993052\pi\)
0.480979 0.876732i \(-0.340281\pi\)
\(242\) −10.4617 −0.672503
\(243\) −1.20072 + 15.5421i −0.0770262 + 0.997029i
\(244\) 0.932808 + 0.538557i 0.0597169 + 0.0344776i
\(245\) 4.47901 0.991498i 0.286154 0.0633445i
\(246\) 4.11471 + 7.38768i 0.262344 + 0.471021i
\(247\) −14.5551 + 10.8729i −0.926118 + 0.691827i
\(248\) −4.20440 −0.266980
\(249\) −21.6493 0.333870i −1.37197 0.0211581i
\(250\) 5.43174 + 3.13602i 0.343533 + 0.198339i
\(251\) 10.4635 + 18.1234i 0.660453 + 1.14394i 0.980497 + 0.196535i \(0.0629689\pi\)
−0.320044 + 0.947403i \(0.603698\pi\)
\(252\) 1.45000 7.80369i 0.0913413 0.491586i
\(253\) 4.07612 2.35335i 0.256264 0.147954i
\(254\) 3.74468 + 6.48598i 0.234962 + 0.406966i
\(255\) −0.642700 1.15392i −0.0402474 0.0722614i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 13.7555 23.8253i 0.858047 1.48618i −0.0157419 0.999876i \(-0.505011\pi\)
0.873789 0.486305i \(-0.161656\pi\)
\(258\) 0.203564 13.1998i 0.0126733 0.821784i
\(259\) −3.98431 10.2504i −0.247573 0.636929i
\(260\) 1.41412 + 1.89302i 0.0877001 + 0.117400i
\(261\) −2.47102 1.53013i −0.152952 0.0947127i
\(262\) 6.29833 10.9090i 0.389112 0.673962i
\(263\) 27.0282 + 15.6048i 1.66663 + 0.962231i 0.969434 + 0.245352i \(0.0789036\pi\)
0.697198 + 0.716878i \(0.254430\pi\)
\(264\) −1.09062 0.652295i −0.0671229 0.0401460i
\(265\) −0.849181 −0.0521647
\(266\) −10.3958 8.34617i −0.637405 0.511736i
\(267\) 13.0169 21.7638i 0.796620 1.33192i
\(268\) 5.86442i 0.358226i
\(269\) 0.0309493 + 0.0536058i 0.00188701 + 0.00326841i 0.866967 0.498365i \(-0.166066\pi\)
−0.865080 + 0.501633i \(0.832733\pi\)
\(270\) 1.83721 2.86718i 0.111809 0.174491i
\(271\) 2.55715 4.42912i 0.155336 0.269050i −0.777845 0.628456i \(-0.783687\pi\)
0.933181 + 0.359406i \(0.117021\pi\)
\(272\) 1.16363 0.0705554
\(273\) −13.8756 8.97038i −0.839789 0.542912i
\(274\) −22.2671 −1.34521
\(275\) −1.67669 + 2.90411i −0.101108 + 0.175124i
\(276\) −11.1099 0.171333i −0.668735 0.0103130i
\(277\) −7.08419 12.2702i −0.425648 0.737244i 0.570833 0.821066i \(-0.306620\pi\)
−0.996481 + 0.0838226i \(0.973287\pi\)
\(278\) 3.63885i 0.218243i
\(279\) 12.6072 + 0.388942i 0.754773 + 0.0232854i
\(280\) −1.08550 + 1.35206i −0.0648707 + 0.0808013i
\(281\) −3.54138 −0.211261 −0.105630 0.994405i \(-0.533686\pi\)
−0.105630 + 0.994405i \(0.533686\pi\)
\(282\) −5.76287 + 9.63535i −0.343174 + 0.573777i
\(283\) −18.6608 10.7738i −1.10927 0.640438i −0.170631 0.985335i \(-0.554580\pi\)
−0.938640 + 0.344897i \(0.887914\pi\)
\(284\) −4.09978 + 7.10103i −0.243277 + 0.421369i
\(285\) −2.78308 4.99682i −0.164855 0.295986i
\(286\) −2.11934 + 1.58318i −0.125319 + 0.0936156i
\(287\) 4.67979 + 12.0396i 0.276239 + 0.710678i
\(288\) 1.41917 + 2.64309i 0.0836255 + 0.155746i
\(289\) 7.82298 13.5498i 0.460176 0.797047i
\(290\) 0.317452 + 0.549844i 0.0186414 + 0.0322879i
\(291\) 10.1980 5.68000i 0.597820 0.332967i
\(292\) −3.46505 6.00165i −0.202777 0.351220i
\(293\) 19.1717 11.0688i 1.12002 0.646645i 0.178615 0.983919i \(-0.442838\pi\)
0.941406 + 0.337274i \(0.109505\pi\)
\(294\) 3.82735 11.5044i 0.223215 0.670951i
\(295\) −0.816527 1.41427i −0.0475400 0.0823417i
\(296\) 3.59978 + 2.07834i 0.209233 + 0.120801i
\(297\) 3.20995 + 2.05685i 0.186260 + 0.119350i
\(298\) 21.8185 1.26391
\(299\) −9.12647 + 21.2531i −0.527798 + 1.22910i
\(300\) 6.91600 3.85200i 0.399295 0.222395i
\(301\) 3.07076 19.9303i 0.176996 1.14876i
\(302\) 5.49769 + 3.17409i 0.316357 + 0.182649i
\(303\) 3.44085 + 2.05796i 0.197672 + 0.118227i
\(304\) 5.03886 0.288998
\(305\) 0.352943 + 0.611315i 0.0202094 + 0.0350038i
\(306\) −3.48923 0.107645i −0.199466 0.00615368i
\(307\) −2.17640 −0.124214 −0.0621068 0.998070i \(-0.519782\pi\)
−0.0621068 + 0.998070i \(0.519782\pi\)
\(308\) −1.51371 1.21527i −0.0862514 0.0692463i
\(309\) −19.5567 0.301599i −1.11254 0.0171573i
\(310\) −2.38620 1.37767i −0.135527 0.0782467i
\(311\) −7.10285 −0.402766 −0.201383 0.979513i \(-0.564544\pi\)
−0.201383 + 0.979513i \(0.564544\pi\)
\(312\) 6.21218 0.639432i 0.351695 0.0362007i
\(313\) 17.1322i 0.968368i 0.874966 + 0.484184i \(0.160883\pi\)
−0.874966 + 0.484184i \(0.839117\pi\)
\(314\) 5.26732 + 3.04109i 0.297252 + 0.171619i
\(315\) 3.38001 3.95385i 0.190442 0.222774i
\(316\) 6.59760 + 11.4274i 0.371144 + 0.642840i
\(317\) 24.6347 1.38362 0.691812 0.722078i \(-0.256813\pi\)
0.691812 + 0.722078i \(0.256813\pi\)
\(318\) −1.15201 + 1.92612i −0.0646013 + 0.108011i
\(319\) −0.615579 + 0.355404i −0.0344658 + 0.0198988i
\(320\) 0.655349i 0.0366351i
\(321\) 5.49765 9.19190i 0.306849 0.513042i
\(322\) −16.7747 2.58456i −0.934816 0.144032i
\(323\) −2.93168 + 5.07782i −0.163123 + 0.282537i
\(324\) −4.01098 8.05680i −0.222832 0.447600i
\(325\) −1.93990 16.3647i −0.107606 0.907748i
\(326\) 10.1516i 0.562246i
\(327\) 28.0978 + 0.433316i 1.55381 + 0.0239624i
\(328\) −4.22814 2.44112i −0.233460 0.134788i
\(329\) −10.7366 + 13.3732i −0.591928 + 0.737290i
\(330\) −0.405238 0.727577i −0.0223076 0.0400518i
\(331\) −9.87158 + 5.69936i −0.542591 + 0.313265i −0.746128 0.665802i \(-0.768090\pi\)
0.203537 + 0.979067i \(0.434756\pi\)
\(332\) 10.8259 6.25036i 0.594151 0.343033i
\(333\) −10.6020 6.56505i −0.580983 0.359763i
\(334\) −18.4911 + 10.6759i −1.01179 + 0.584157i
\(335\) −1.92162 + 3.32835i −0.104989 + 0.181847i
\(336\) 1.59417 + 4.29635i 0.0869691 + 0.234385i
\(337\) 15.7709 0.859096 0.429548 0.903044i \(-0.358673\pi\)
0.429548 + 0.903044i \(0.358673\pi\)
\(338\) 3.68767 12.4660i 0.200583 0.678061i
\(339\) −4.82709 8.66671i −0.262172 0.470711i
\(340\) 0.660417 + 0.381292i 0.0358161 + 0.0206784i
\(341\) 1.54238 2.67148i 0.0835245 0.144669i
\(342\) −15.1094 0.466136i −0.817022 0.0252058i
\(343\) 8.19912 16.6065i 0.442711 0.896664i
\(344\) 3.81091 + 6.60069i 0.205470 + 0.355885i
\(345\) −6.24925 3.73766i −0.336448 0.201229i
\(346\) 7.33922 0.394559
\(347\) 17.2114 9.93698i 0.923954 0.533445i 0.0390595 0.999237i \(-0.487564\pi\)
0.884894 + 0.465792i \(0.154230\pi\)
\(348\) 1.67782 + 0.0258749i 0.0899405 + 0.00138704i
\(349\) −8.02933 + 13.9072i −0.429800 + 0.744436i −0.996855 0.0792439i \(-0.974749\pi\)
0.567055 + 0.823680i \(0.308083\pi\)
\(350\) 11.2709 4.38100i 0.602458 0.234174i
\(351\) −18.6868 + 1.34271i −0.997429 + 0.0716683i
\(352\) 0.733697 0.0391062
\(353\) −23.2239 13.4084i −1.23609 0.713655i −0.267794 0.963476i \(-0.586295\pi\)
−0.968292 + 0.249822i \(0.919628\pi\)
\(354\) −4.31555 0.0665533i −0.229369 0.00353727i
\(355\) −4.65366 + 2.68679i −0.246990 + 0.142600i
\(356\) 14.6413i 0.775987i
\(357\) −5.25708 0.893183i −0.278234 0.0472722i
\(358\) 2.15825 1.24607i 0.114067 0.0658566i
\(359\) 31.4068 1.65759 0.828795 0.559553i \(-0.189027\pi\)
0.828795 + 0.559553i \(0.189027\pi\)
\(360\) −0.0606253 + 1.96511i −0.00319523 + 0.103571i
\(361\) −3.19503 + 5.53396i −0.168160 + 0.291261i
\(362\) −16.7885 9.69283i −0.882383 0.509444i
\(363\) −15.8304 + 8.81703i −0.830879 + 0.462774i
\(364\) 9.53359 + 0.332685i 0.499696 + 0.0174374i
\(365\) 4.54164i 0.237720i
\(366\) 1.86539 + 0.0287676i 0.0975057 + 0.00150371i
\(367\) −1.82808 1.05544i −0.0954251 0.0550937i 0.451528 0.892257i \(-0.350879\pi\)
−0.546953 + 0.837163i \(0.684212\pi\)
\(368\) 5.55559 3.20752i 0.289605 0.167204i
\(369\) 12.4526 + 7.71101i 0.648254 + 0.401419i
\(370\) 1.36204 + 2.35912i 0.0708089 + 0.122645i
\(371\) −2.14626 + 2.67333i −0.111428 + 0.138792i
\(372\) −6.36199 + 3.54344i −0.329854 + 0.183719i
\(373\) 12.1368 + 21.0216i 0.628421 + 1.08846i 0.987869 + 0.155292i \(0.0496318\pi\)
−0.359448 + 0.933165i \(0.617035\pi\)
\(374\) −0.426876 + 0.739371i −0.0220732 + 0.0382319i
\(375\) 10.8622 + 0.167514i 0.560921 + 0.00865037i
\(376\) 6.48204i 0.334286i
\(377\) 1.37829 3.20965i 0.0709853 0.165306i
\(378\) −4.38279 13.0304i −0.225426 0.670211i
\(379\) 8.39822 + 4.84872i 0.431388 + 0.249062i 0.699938 0.714204i \(-0.253211\pi\)
−0.268550 + 0.963266i \(0.586544\pi\)
\(380\) 2.85980 + 1.65110i 0.146705 + 0.0846999i
\(381\) 11.1327 + 6.65843i 0.570345 + 0.341122i
\(382\) 13.6857i 0.700223i
\(383\) 23.5996 13.6253i 1.20589 0.696218i 0.244028 0.969768i \(-0.421531\pi\)
0.961858 + 0.273550i \(0.0881979\pi\)
\(384\) −1.48647 0.889052i −0.0758560 0.0453693i
\(385\) −0.460890 1.18573i −0.0234891 0.0604303i
\(386\) −18.7113 + 10.8030i −0.952380 + 0.549857i
\(387\) −10.8167 20.1452i −0.549842 1.02404i
\(388\) −3.36975 + 5.83658i −0.171073 + 0.296307i
\(389\) 16.2748i 0.825166i 0.910920 + 0.412583i \(0.135373\pi\)
−0.910920 + 0.412583i \(0.864627\pi\)
\(390\) 3.73524 + 1.67266i 0.189141 + 0.0846986i
\(391\) 7.46473i 0.377508i
\(392\) 1.51293 + 6.83455i 0.0764146 + 0.345197i
\(393\) 0.336432 21.8155i 0.0169708 1.10044i
\(394\) 10.6029 + 18.3647i 0.534165 + 0.925200i
\(395\) 8.64746i 0.435101i
\(396\) −2.20005 0.0678731i −0.110556 0.00341075i
\(397\) −10.1097 17.5105i −0.507390 0.878825i −0.999963 0.00855427i \(-0.997277\pi\)
0.492573 0.870271i \(-0.336056\pi\)
\(398\) 3.43023i 0.171942i
\(399\) −22.7647 3.86774i −1.13966 0.193629i
\(400\) −2.28526 + 3.95818i −0.114263 + 0.197909i
\(401\) 16.5578 28.6789i 0.826856 1.43216i −0.0736358 0.997285i \(-0.523460\pi\)
0.900492 0.434872i \(-0.143206\pi\)
\(402\) 4.94249 + 8.87390i 0.246509 + 0.442590i
\(403\) 1.78450 + 15.0538i 0.0888925 + 0.749882i
\(404\) −2.31478 −0.115165
\(405\) 0.363579 5.88693i 0.0180664 0.292524i
\(406\) 2.53332 + 0.390323i 0.125727 + 0.0193714i
\(407\) −2.64115 + 1.52487i −0.130917 + 0.0755850i
\(408\) 1.76078 0.980698i 0.0871714 0.0485518i
\(409\) 18.8192 + 32.5957i 0.930547 + 1.61175i 0.782388 + 0.622791i \(0.214001\pi\)
0.148159 + 0.988964i \(0.452665\pi\)
\(410\) −1.59978 2.77091i −0.0790077 0.136845i
\(411\) −33.6941 + 18.7666i −1.66201 + 0.925687i
\(412\) 9.77953 5.64621i 0.481803 0.278169i
\(413\) −6.51601 1.00396i −0.320632 0.0494015i
\(414\) −16.9556 + 9.10405i −0.833321 + 0.447440i
\(415\) 8.19234 0.402146
\(416\) −2.88857 + 2.15781i −0.141624 + 0.105796i
\(417\) −3.06679 5.50621i −0.150181 0.269640i
\(418\) −1.84850 + 3.20169i −0.0904130 + 0.156600i
\(419\) −15.8330 + 27.4235i −0.773492 + 1.33973i 0.162146 + 0.986767i \(0.448158\pi\)
−0.935638 + 0.352961i \(0.885175\pi\)
\(420\) −0.503035 + 2.96076i −0.0245456 + 0.144470i
\(421\) 3.23775i 0.157798i −0.996883 0.0788991i \(-0.974860\pi\)
0.996883 0.0788991i \(-0.0251405\pi\)
\(422\) 12.4331 + 21.5347i 0.605233 + 1.04829i
\(423\) −0.599643 + 19.4369i −0.0291556 + 0.945053i
\(424\) 1.29577i 0.0629281i
\(425\) −2.65919 4.60586i −0.128990 0.223417i
\(426\) −0.218994 + 14.2004i −0.0106103 + 0.688011i
\(427\) 2.81654 + 0.433959i 0.136302 + 0.0210008i
\(428\) 6.18372i 0.298901i
\(429\) −1.87263 + 4.18179i −0.0904116 + 0.201899i
\(430\) 4.99495i 0.240878i
\(431\) 1.47511 2.55497i 0.0710536 0.123068i −0.828310 0.560270i \(-0.810697\pi\)
0.899363 + 0.437202i \(0.144031\pi\)
\(432\) 4.37504 + 2.80340i 0.210494 + 0.134879i
\(433\) −20.2415 + 11.6864i −0.972742 + 0.561613i −0.900071 0.435743i \(-0.856486\pi\)
−0.0726709 + 0.997356i \(0.523152\pi\)
\(434\) −10.3681 + 4.03006i −0.497685 + 0.193449i
\(435\) 0.943765 + 0.564464i 0.0452501 + 0.0270640i
\(436\) −14.0505 + 8.11209i −0.672899 + 0.388499i
\(437\) 32.3245i 1.54629i
\(438\) −10.3014 6.16123i −0.492219 0.294395i
\(439\) 15.3108 + 8.83972i 0.730747 + 0.421897i 0.818695 0.574228i \(-0.194698\pi\)
−0.0879485 + 0.996125i \(0.528031\pi\)
\(440\) 0.416409 + 0.240414i 0.0198515 + 0.0114613i
\(441\) −3.90438 20.6339i −0.185923 0.982564i
\(442\) −0.493888 4.16635i −0.0234918 0.198173i
\(443\) 5.76939i 0.274112i 0.990563 + 0.137056i \(0.0437640\pi\)
−0.990563 + 0.137056i \(0.956236\pi\)
\(444\) 7.19871 + 0.111017i 0.341636 + 0.00526861i
\(445\) −4.79758 + 8.30965i −0.227427 + 0.393915i
\(446\) −4.26929 7.39463i −0.202157 0.350146i
\(447\) 33.0153 18.3885i 1.56157 0.869746i
\(448\) −2.06312 1.65636i −0.0974733 0.0782557i
\(449\) −6.85295 11.8697i −0.323411 0.560164i 0.657779 0.753211i \(-0.271496\pi\)
−0.981189 + 0.193047i \(0.938163\pi\)
\(450\) 7.21868 11.6575i 0.340292 0.549540i
\(451\) 3.10217 1.79104i 0.146076 0.0843368i
\(452\) 4.96016 + 2.86375i 0.233306 + 0.134699i
\(453\) 10.9941 + 0.169548i 0.516547 + 0.00796604i
\(454\) 6.92511i 0.325012i
\(455\) 5.30177 + 3.31273i 0.248551 + 0.155303i
\(456\) 7.62467 4.24671i 0.357058 0.198870i
\(457\) 7.47187 + 4.31389i 0.349519 + 0.201795i 0.664474 0.747312i \(-0.268656\pi\)
−0.314954 + 0.949107i \(0.601989\pi\)
\(458\) −2.34250 + 4.05732i −0.109458 + 0.189586i
\(459\) −5.37054 + 2.77781i −0.250675 + 0.129657i
\(460\) 4.20409 0.196017
\(461\) −28.5935 + 16.5084i −1.33173 + 0.768875i −0.985565 0.169299i \(-0.945850\pi\)
−0.346165 + 0.938173i \(0.612516\pi\)
\(462\) −3.31472 0.563174i −0.154215 0.0262012i
\(463\) 18.6394i 0.866246i 0.901335 + 0.433123i \(0.142589\pi\)
−0.901335 + 0.433123i \(0.857411\pi\)
\(464\) −0.839009 + 0.484402i −0.0389500 + 0.0224878i
\(465\) −4.77184 0.0735900i −0.221289 0.00341265i
\(466\) −7.45984 4.30694i −0.345570 0.199515i
\(467\) −2.44186 −0.112996 −0.0564978 0.998403i \(-0.517993\pi\)
−0.0564978 + 0.998403i \(0.517993\pi\)
\(468\) 8.86120 6.20315i 0.409609 0.286741i
\(469\) 5.62124 + 14.4617i 0.259565 + 0.667781i
\(470\) 2.12400 3.67888i 0.0979728 0.169694i
\(471\) 10.5334 + 0.162443i 0.485353 + 0.00748499i
\(472\) 2.15803 1.24594i 0.0993316 0.0573491i
\(473\) −5.59211 −0.257125
\(474\) 19.6142 + 11.7312i 0.900911 + 0.538833i
\(475\) −11.5151 19.9447i −0.528348 0.915126i
\(476\) 2.86952 1.11538i 0.131524 0.0511233i
\(477\) −0.119869 + 3.88546i −0.00548844 + 0.177903i
\(478\) −5.13049 + 8.88626i −0.234663 + 0.406448i
\(479\) −27.1685 15.6857i −1.24136 0.716699i −0.271989 0.962300i \(-0.587681\pi\)
−0.969371 + 0.245601i \(0.921015\pi\)
\(480\) −0.552323 0.991658i −0.0252100 0.0452628i
\(481\) 5.91356 13.7711i 0.269635 0.627907i
\(482\) 16.1074 0.733670
\(483\) −27.5613 + 10.2267i −1.25408 + 0.465329i
\(484\) 5.23084 9.06009i 0.237766 0.411822i
\(485\) −3.82500 + 2.20836i −0.173684 + 0.100277i
\(486\) −12.8595 8.81093i −0.583320 0.399672i
\(487\) −10.1304 + 5.84880i −0.459053 + 0.265035i −0.711646 0.702538i \(-0.752050\pi\)
0.252593 + 0.967573i \(0.418717\pi\)
\(488\) −0.932808 + 0.538557i −0.0422262 + 0.0243793i
\(489\) −8.55571 15.3612i −0.386902 0.694656i
\(490\) −1.38084 + 4.37469i −0.0623802 + 0.197628i
\(491\) −35.7809 20.6581i −1.61477 0.932287i −0.988244 0.152886i \(-0.951143\pi\)
−0.626525 0.779401i \(-0.715524\pi\)
\(492\) −8.45527 0.130395i −0.381193 0.00587866i
\(493\) 1.12733i 0.0507723i
\(494\) −2.13868 18.0415i −0.0962237 0.811727i
\(495\) −1.22639 0.759420i −0.0551223 0.0341334i
\(496\) 2.10220 3.64112i 0.0943915 0.163491i
\(497\) −3.30353 + 21.4410i −0.148184 + 0.961761i
\(498\) 11.1138 18.5819i 0.498021 0.832676i
\(499\) 25.7632i 1.15332i −0.816985 0.576660i \(-0.804356\pi\)
0.816985 0.576660i \(-0.195644\pi\)
\(500\) −5.43174 + 3.13602i −0.242915 + 0.140247i
\(501\) −18.9828 + 31.7386i −0.848088 + 1.41798i
\(502\) −20.9271 −0.934021
\(503\) −5.86833 10.1642i −0.261656 0.453201i 0.705026 0.709181i \(-0.250935\pi\)
−0.966682 + 0.255980i \(0.917602\pi\)
\(504\) 6.03319 + 5.15758i 0.268740 + 0.229737i
\(505\) −1.31375 0.758496i −0.0584612 0.0337526i
\(506\) 4.70670i 0.209238i
\(507\) −4.92616 21.9712i −0.218778 0.975775i
\(508\) −7.48936 −0.332287
\(509\) −33.3626 19.2619i −1.47877 0.853768i −0.479059 0.877783i \(-0.659022\pi\)
−0.999712 + 0.0240145i \(0.992355\pi\)
\(510\) 1.32068 + 0.0203671i 0.0584805 + 0.000901871i
\(511\) −14.2976 11.4788i −0.632491 0.507791i
\(512\) 1.00000 0.0441942
\(513\) −23.2560 + 12.0287i −1.02678 + 0.531081i
\(514\) 13.7555 + 23.8253i 0.606731 + 1.05089i
\(515\) 7.40048 0.326104
\(516\) 11.3296 + 6.77620i 0.498757 + 0.298305i
\(517\) 4.11869 + 2.37793i 0.181140 + 0.104581i
\(518\) 10.8693 + 1.67469i 0.477568 + 0.0735815i
\(519\) 11.1055 6.18544i 0.487479 0.271511i
\(520\) −2.34647 + 0.278155i −0.102899 + 0.0121979i
\(521\) 38.0123 1.66535 0.832674 0.553763i \(-0.186809\pi\)
0.832674 + 0.553763i \(0.186809\pi\)
\(522\) 2.56064 1.37490i 0.112076 0.0601777i
\(523\) 29.6865 + 17.1395i 1.29810 + 0.749458i 0.980076 0.198625i \(-0.0636474\pi\)
0.318024 + 0.948083i \(0.396981\pi\)
\(524\) 6.29833 + 10.9090i 0.275144 + 0.476563i
\(525\) 13.3627 16.1283i 0.583194 0.703896i
\(526\) −27.0282 + 15.6048i −1.17849 + 0.680400i
\(527\) 2.44618 + 4.23691i 0.106557 + 0.184563i
\(528\) 1.11021 0.618355i 0.0483158 0.0269104i
\(529\) 9.07639 + 15.7208i 0.394626 + 0.683512i
\(530\) 0.424590 0.735412i 0.0184430 0.0319443i
\(531\) −6.58628 + 3.53641i −0.285820 + 0.153467i
\(532\) 12.4259 4.82991i 0.538730 0.209403i
\(533\) −6.94580 + 16.1749i −0.300856 + 0.700612i
\(534\) 12.3396 + 22.1548i 0.533985 + 0.958734i
\(535\) −2.02625 + 3.50957i −0.0876024 + 0.151732i
\(536\) −5.07874 2.93221i −0.219368 0.126652i
\(537\) 2.21563 3.70447i 0.0956117 0.159860i
\(538\) −0.0618987 −0.00266864
\(539\) −4.89769 1.54593i −0.210959 0.0665878i
\(540\) 1.56445 + 3.02465i 0.0673230 + 0.130160i
\(541\) 20.6184i 0.886454i −0.896410 0.443227i \(-0.853834\pi\)
0.896410 0.443227i \(-0.146166\pi\)
\(542\) 2.55715 + 4.42912i 0.109839 + 0.190247i
\(543\) −33.5730 0.517753i −1.44075 0.0222189i
\(544\) −0.581815 + 1.00773i −0.0249451 + 0.0432062i
\(545\) −10.6325 −0.455446
\(546\) 14.7064 7.53143i 0.629375 0.322315i
\(547\) −27.3235 −1.16827 −0.584134 0.811658i \(-0.698566\pi\)
−0.584134 + 0.811658i \(0.698566\pi\)
\(548\) 11.1336 19.2839i 0.475602 0.823767i
\(549\) 2.84691 1.52861i 0.121503 0.0652395i
\(550\) −1.67669 2.90411i −0.0714942 0.123832i
\(551\) 4.88166i 0.207966i
\(552\) 5.70331 9.53575i 0.242749 0.405869i
\(553\) 27.2233 + 21.8560i 1.15765 + 0.929412i
\(554\) 14.1684 0.601957
\(555\) 4.04924 + 2.42184i 0.171881 + 0.102801i
\(556\) 3.15133 + 1.81942i 0.133646 + 0.0771607i
\(557\) −4.33794 + 7.51353i −0.183804 + 0.318358i −0.943173 0.332302i \(-0.892175\pi\)
0.759369 + 0.650661i \(0.225508\pi\)
\(558\) −6.64043 + 10.7237i −0.281112 + 0.453970i
\(559\) 22.0162 16.4465i 0.931184 0.695612i
\(560\) −0.628174 1.61610i −0.0265452 0.0682926i
\(561\) −0.0228020 + 1.47857i −0.000962703 + 0.0624251i
\(562\) 1.77069 3.06692i 0.0746920 0.129370i
\(563\) −6.82336 11.8184i −0.287570 0.498087i 0.685659 0.727923i \(-0.259514\pi\)
−0.973229 + 0.229836i \(0.926181\pi\)
\(564\) −5.46302 9.80847i −0.230035 0.413011i
\(565\) 1.87675 + 3.25063i 0.0789557 + 0.136755i
\(566\) 18.6608 10.7738i 0.784373 0.452858i
\(567\) −17.6138 16.0235i −0.739712 0.672924i
\(568\) −4.09978 7.10103i −0.172023 0.297953i
\(569\) 22.2652 + 12.8548i 0.933404 + 0.538901i 0.887887 0.460062i \(-0.152173\pi\)
0.0455175 + 0.998964i \(0.485506\pi\)
\(570\) 5.71891 + 0.0881955i 0.239539 + 0.00369410i
\(571\) 4.42968 0.185376 0.0926881 0.995695i \(-0.470454\pi\)
0.0926881 + 0.995695i \(0.470454\pi\)
\(572\) −0.311409 2.62699i −0.0130206 0.109840i
\(573\) −11.5342 20.7089i −0.481849 0.865127i
\(574\) −12.7665 1.96701i −0.532865 0.0821014i
\(575\) −25.3919 14.6600i −1.05892 0.611366i
\(576\) −2.99857 0.0925084i −0.124941 0.00385452i
\(577\) −24.2166 −1.00815 −0.504075 0.863660i \(-0.668166\pi\)
−0.504075 + 0.863660i \(0.668166\pi\)
\(578\) 7.82298 + 13.5498i 0.325393 + 0.563598i
\(579\) −19.2088 + 32.1165i −0.798291 + 1.33472i
\(580\) −0.634905 −0.0263630
\(581\) 20.7057 25.7905i 0.859018 1.06997i
\(582\) −0.179999 + 11.6718i −0.00746119 + 0.483810i
\(583\) 0.823332 + 0.475351i 0.0340989 + 0.0196870i
\(584\) 6.93011 0.286770
\(585\) 7.06178 0.617000i 0.291969 0.0255098i
\(586\) 22.1375i 0.914494i
\(587\) −16.9787 9.80266i −0.700786 0.404599i 0.106854 0.994275i \(-0.465922\pi\)
−0.807640 + 0.589676i \(0.799256\pi\)
\(588\) 8.04944 + 9.06678i 0.331953 + 0.373908i
\(589\) 10.5927 + 18.3471i 0.436464 + 0.755977i
\(590\) 1.63305 0.0672317
\(591\) 31.5216 + 18.8530i 1.29663 + 0.775509i
\(592\) −3.59978 + 2.07834i −0.147950 + 0.0854191i
\(593\) 7.95508i 0.326676i 0.986570 + 0.163338i \(0.0522261\pi\)
−0.986570 + 0.163338i \(0.947774\pi\)
\(594\) −3.38626 + 1.75148i −0.138940 + 0.0718640i
\(595\) 1.99408 + 0.307238i 0.0817491 + 0.0125955i
\(596\) −10.9093 + 18.8954i −0.446861 + 0.773986i
\(597\) 2.89098 + 5.19055i 0.118320 + 0.212435i
\(598\) −13.8425 18.5303i −0.566061 0.757760i
\(599\) 22.9488i 0.937662i −0.883288 0.468831i \(-0.844675\pi\)
0.883288 0.468831i \(-0.155325\pi\)
\(600\) −0.122070 + 7.91543i −0.00498347 + 0.323146i
\(601\) −6.23997 3.60265i −0.254534 0.146955i 0.367305 0.930101i \(-0.380281\pi\)
−0.621839 + 0.783145i \(0.713614\pi\)
\(602\) 15.7247 + 12.6245i 0.640892 + 0.514536i
\(603\) 14.9577 + 9.26227i 0.609125 + 0.377189i
\(604\) −5.49769 + 3.17409i −0.223698 + 0.129152i
\(605\) 5.93752 3.42803i 0.241395 0.139369i
\(606\) −3.50267 + 1.95088i −0.142286 + 0.0792492i
\(607\) −0.0665333 + 0.0384130i −0.00270050 + 0.00155914i −0.501350 0.865245i \(-0.667163\pi\)
0.498649 + 0.866804i \(0.333830\pi\)
\(608\) −2.51943 + 4.36378i −0.102176 + 0.176975i
\(609\) 4.16232 1.54444i 0.168666 0.0625838i
\(610\) −0.705885 −0.0285805
\(611\) −23.2088 + 2.75122i −0.938929 + 0.111303i
\(612\) 1.83784 2.96794i 0.0742902 0.119972i
\(613\) −32.8419 18.9613i −1.32647 0.765838i −0.341718 0.939802i \(-0.611009\pi\)
−0.984752 + 0.173965i \(0.944342\pi\)
\(614\) 1.08820 1.88482i 0.0439161 0.0760650i
\(615\) −4.75605 2.84458i −0.191783 0.114705i
\(616\) 1.80931 0.703274i 0.0728990 0.0283357i
\(617\) 1.59443 + 2.76163i 0.0641892 + 0.111179i 0.896334 0.443379i \(-0.146221\pi\)
−0.832145 + 0.554558i \(0.812887\pi\)
\(618\) 10.0396 16.7858i 0.403850 0.675225i
\(619\) 10.9786 0.441267 0.220634 0.975357i \(-0.429188\pi\)
0.220634 + 0.975357i \(0.429188\pi\)
\(620\) 2.38620 1.37767i 0.0958322 0.0553287i
\(621\) −17.9839 + 28.0661i −0.721670 + 1.12625i
\(622\) 3.55142 6.15125i 0.142399 0.246643i
\(623\) 14.0342 + 36.1056i 0.562267 + 1.44654i
\(624\) −2.55232 + 5.69962i −0.102175 + 0.228167i
\(625\) 18.7422 0.749689
\(626\) −14.8369 8.56609i −0.593002 0.342370i
\(627\) −0.0987395 + 6.40262i −0.00394328 + 0.255696i
\(628\) −5.26732 + 3.04109i −0.210189 + 0.121353i
\(629\) 4.83683i 0.192857i
\(630\) 1.73412 + 4.90410i 0.0690892 + 0.195384i
\(631\) 2.23519 1.29049i 0.0889816 0.0513735i −0.454849 0.890569i \(-0.650307\pi\)
0.543831 + 0.839195i \(0.316973\pi\)
\(632\) −13.1952 −0.524877
\(633\) 36.9628 + 22.1073i 1.46914 + 0.878687i
\(634\) −12.3174 + 21.3343i −0.489185 + 0.847293i
\(635\) −4.25058 2.45407i −0.168679 0.0973869i
\(636\) −1.09206 1.96072i −0.0433031 0.0777478i
\(637\) 23.8288 8.31786i 0.944133 0.329566i
\(638\) 0.710809i 0.0281412i
\(639\) 11.6366 + 21.6722i 0.460337 + 0.857340i
\(640\) 0.567549 + 0.327675i 0.0224343 + 0.0129525i
\(641\) −21.6084 + 12.4756i −0.853482 + 0.492758i −0.861824 0.507207i \(-0.830678\pi\)
0.00834190 + 0.999965i \(0.497345\pi\)
\(642\) 5.21160 + 9.35706i 0.205685 + 0.369294i
\(643\) −2.49176 4.31585i −0.0982653 0.170200i 0.812701 0.582680i \(-0.197996\pi\)
−0.910967 + 0.412480i \(0.864663\pi\)
\(644\) 10.6256 13.2350i 0.418709 0.521532i
\(645\) 4.20971 + 7.55824i 0.165757 + 0.297605i
\(646\) −2.93168 5.07782i −0.115345 0.199784i
\(647\) 15.4932 26.8350i 0.609101 1.05499i −0.382288 0.924043i \(-0.624864\pi\)
0.991389 0.130951i \(-0.0418030\pi\)
\(648\) 8.98288 + 0.554786i 0.352881 + 0.0217941i
\(649\) 1.82829i 0.0717666i
\(650\) 15.1422 + 6.50233i 0.593924 + 0.255042i
\(651\) −12.2922 + 14.8363i −0.481771 + 0.581482i
\(652\) 8.79156 + 5.07581i 0.344304 + 0.198784i
\(653\) −22.3928 12.9285i −0.876299 0.505931i −0.00686241 0.999976i \(-0.502184\pi\)
−0.869436 + 0.494045i \(0.835518\pi\)
\(654\) −14.4241 + 24.1167i −0.564029 + 0.943038i
\(655\) 8.25521i 0.322558i
\(656\) 4.22814 2.44112i 0.165081 0.0953096i
\(657\) −20.7804 0.641093i −0.810722 0.0250114i
\(658\) −6.21326 15.9848i −0.242218 0.623152i
\(659\) 37.8578 21.8572i 1.47473 0.851436i 0.475136 0.879912i \(-0.342399\pi\)
0.999594 + 0.0284766i \(0.00906561\pi\)
\(660\) 0.832719 + 0.0128420i 0.0324136 + 0.000499873i
\(661\) −16.3148 + 28.2581i −0.634573 + 1.09911i 0.352032 + 0.935988i \(0.385491\pi\)
−0.986605 + 0.163125i \(0.947842\pi\)
\(662\) 11.3987i 0.443024i
\(663\) −4.25871 5.88818i −0.165395 0.228678i
\(664\) 12.5007i 0.485122i
\(665\) 8.63493 + 1.33043i 0.334848 + 0.0515919i
\(666\) 10.9865 5.89903i 0.425717 0.228583i
\(667\) −3.10746 5.38228i −0.120321 0.208403i
\(668\) 21.3517i 0.826122i
\(669\) −12.6923 7.59125i −0.490714 0.293495i
\(670\) −1.92162 3.32835i −0.0742387 0.128585i
\(671\) 0.790275i 0.0305082i
\(672\) −4.51783 0.767584i −0.174279 0.0296102i
\(673\) 8.95203 15.5054i 0.345076 0.597688i −0.640292 0.768132i \(-0.721187\pi\)
0.985367 + 0.170443i \(0.0545200\pi\)
\(674\) −7.88546 + 13.6580i −0.303736 + 0.526087i
\(675\) 1.09828 23.7237i 0.0422727 0.913126i
\(676\) 8.95203 + 9.42662i 0.344309 + 0.362562i
\(677\) 20.3466 0.781983 0.390992 0.920394i \(-0.372132\pi\)
0.390992 + 0.920394i \(0.372132\pi\)
\(678\) 9.91913 + 0.152970i 0.380942 + 0.00587478i
\(679\) −2.71528 + 17.6231i −0.104203 + 0.676312i
\(680\) −0.660417 + 0.381292i −0.0253258 + 0.0146219i
\(681\) 5.83643 + 10.4789i 0.223653 + 0.401553i
\(682\) 1.54238 + 2.67148i 0.0590607 + 0.102296i
\(683\) −10.2174 17.6970i −0.390956 0.677156i 0.601620 0.798783i \(-0.294522\pi\)
−0.992576 + 0.121627i \(0.961189\pi\)
\(684\) 7.95837 12.8520i 0.304296 0.491410i
\(685\) 12.6377 7.29637i 0.482861 0.278780i
\(686\) 10.2821 + 15.4039i 0.392571 + 0.588123i
\(687\) −0.125127 + 8.11368i −0.00477389 + 0.309556i
\(688\) −7.62182 −0.290579
\(689\) −4.63947 + 0.549972i −0.176750 + 0.0209523i
\(690\) 6.36153 3.54318i 0.242179 0.134887i
\(691\) 25.8706 44.8092i 0.984165 1.70462i 0.338573 0.940940i \(-0.390056\pi\)
0.645591 0.763683i \(-0.276611\pi\)
\(692\) −3.66961 + 6.35595i −0.139498 + 0.241617i
\(693\) −5.49040 + 1.94144i −0.208563 + 0.0737493i
\(694\) 19.8740i 0.754405i
\(695\) 1.19236 + 2.06522i 0.0452287 + 0.0783384i
\(696\) −0.861317 + 1.44010i −0.0326481 + 0.0545867i
\(697\) 5.68111i 0.215187i
\(698\) −8.02933 13.9072i −0.303915 0.526396i
\(699\) −14.9179 0.230060i −0.564247 0.00870166i
\(700\) −1.84142 + 11.9514i −0.0695992 + 0.451721i
\(701\) 12.8757i 0.486308i 0.969988 + 0.243154i \(0.0781820\pi\)
−0.969988 + 0.243154i \(0.921818\pi\)
\(702\) 8.18059 16.8546i 0.308757 0.636136i
\(703\) 20.9449i 0.789951i
\(704\) −0.366849 + 0.635401i −0.0138261 + 0.0239476i
\(705\) 0.113456 7.35688i 0.00427299 0.277076i
\(706\) 23.2239 13.4084i 0.874045 0.504630i
\(707\) −5.70828 + 2.21880i −0.214682 + 0.0834465i
\(708\) 2.21541 3.70410i 0.0832604 0.139209i
\(709\) 13.9466 8.05207i 0.523776 0.302402i −0.214702 0.976680i \(-0.568878\pi\)
0.738478 + 0.674278i \(0.235545\pi\)
\(710\) 5.37358i 0.201667i
\(711\) 39.5667 + 1.22067i 1.48387 + 0.0457785i
\(712\) −12.6797 7.32065i −0.475193 0.274353i
\(713\) 23.3579 + 13.4857i 0.874761 + 0.505043i
\(714\) 3.40206 4.10618i 0.127319 0.153670i
\(715\) 0.684058 1.59299i 0.0255823 0.0595743i
\(716\) 2.49213i 0.0931353i
\(717\) −0.274050 + 17.7704i −0.0102346 + 0.663648i
\(718\) −15.7034 + 27.1991i −0.586046 + 1.01506i
\(719\) −13.1163 22.7181i −0.489155 0.847241i 0.510768 0.859719i \(-0.329361\pi\)
−0.999922 + 0.0124783i \(0.996028\pi\)
\(720\) −1.67152 1.03506i −0.0622940 0.0385744i
\(721\) 18.7043 23.2976i 0.696586 0.867649i
\(722\) −3.19503 5.53396i −0.118907 0.205953i
\(723\) 24.3733 13.5752i 0.906451 0.504866i
\(724\) 16.7885 9.69283i 0.623939 0.360231i
\(725\) 3.83470 + 2.21397i 0.142417 + 0.0822247i
\(726\) 0.279411 18.1180i 0.0103699 0.672423i
\(727\) 16.5596i 0.614161i −0.951683 0.307081i \(-0.900648\pi\)
0.951683 0.307081i \(-0.0993521\pi\)
\(728\) −5.05491 + 8.08999i −0.187347 + 0.299835i
\(729\) −26.8845 2.49456i −0.995723 0.0923911i
\(730\) 3.93318 + 2.27082i 0.145573 + 0.0840468i
\(731\) 4.43449 7.68075i 0.164015 0.284083i
\(732\) −0.957610 + 1.60109i −0.0353943 + 0.0591781i
\(733\) −6.98748 −0.258088 −0.129044 0.991639i \(-0.541191\pi\)
−0.129044 + 0.991639i \(0.541191\pi\)
\(734\) 1.82808 1.05544i 0.0674758 0.0389572i
\(735\) 1.59750 + 7.78344i 0.0589245 + 0.287096i
\(736\) 6.41504i 0.236462i
\(737\) 3.72626 2.15135i 0.137258 0.0792462i
\(738\) −12.9042 + 6.92873i −0.475010 + 0.255050i
\(739\) 6.55386 + 3.78387i 0.241087 + 0.139192i 0.615676 0.787999i \(-0.288883\pi\)
−0.374589 + 0.927191i \(0.622216\pi\)
\(740\) −2.72407 −0.100139
\(741\) −18.4415 25.4975i −0.677464 0.936676i
\(742\) −1.24204 3.19538i −0.0455966 0.117306i
\(743\) 14.6769 25.4211i 0.538443 0.932610i −0.460545 0.887636i \(-0.652346\pi\)
0.998988 0.0449741i \(-0.0143205\pi\)
\(744\) 0.112291 7.28137i 0.00411680 0.266948i
\(745\) −12.3831 + 7.14938i −0.453681 + 0.261933i
\(746\) −24.2736 −0.888721
\(747\) 1.15642 37.4843i 0.0423112 1.37148i
\(748\) −0.426876 0.739371i −0.0156081 0.0270341i
\(749\) 5.92731 + 15.2491i 0.216579 + 0.557191i
\(750\) −5.57616 + 9.32317i −0.203613 + 0.340434i
\(751\) 22.9520 39.7541i 0.837531 1.45065i −0.0544211 0.998518i \(-0.517331\pi\)
0.891953 0.452129i \(-0.149335\pi\)
\(752\) 5.61361 + 3.24102i 0.204707 + 0.118188i
\(753\) −31.6663 + 17.6372i −1.15399 + 0.642735i
\(754\) 2.09050 + 2.79846i 0.0761315 + 0.101914i
\(755\) −4.16028 −0.151408
\(756\) 13.4760 + 2.71959i 0.490119 + 0.0989107i
\(757\) 18.3065 31.7078i 0.665361 1.15244i −0.313826 0.949481i \(-0.601611\pi\)
0.979187 0.202959i \(-0.0650559\pi\)
\(758\) −8.39822 + 4.84872i −0.305037 + 0.176113i
\(759\) 3.96677 + 7.12206i 0.143985 + 0.258515i
\(760\) −2.85980 + 1.65110i −0.103736 + 0.0598919i
\(761\) 4.69480 2.71054i 0.170186 0.0982571i −0.412487 0.910963i \(-0.635340\pi\)
0.582674 + 0.812706i \(0.302007\pi\)
\(762\) −11.3327 + 6.31198i −0.410541 + 0.228659i
\(763\) −26.8731 + 33.4724i −0.972872 + 1.21178i
\(764\) 11.8522 + 6.84286i 0.428797 + 0.247566i
\(765\) 2.01558 1.08224i 0.0728735 0.0391284i
\(766\) 27.2505i 0.984601i
\(767\) −5.37702 7.19798i −0.194153 0.259904i
\(768\) 1.51318 0.842793i 0.0546020 0.0304117i
\(769\) −2.00109 + 3.46599i −0.0721612 + 0.124987i −0.899848 0.436203i \(-0.856323\pi\)
0.827687 + 0.561190i \(0.189656\pi\)
\(770\) 1.25731 + 0.193721i 0.0453105 + 0.00698123i
\(771\) 40.8943 + 24.4588i 1.47277 + 0.880862i
\(772\) 21.6059i 0.777615i
\(773\) −25.5699 + 14.7628i −0.919686 + 0.530981i −0.883535 0.468365i \(-0.844843\pi\)
−0.0361510 + 0.999346i \(0.511510\pi\)
\(774\)