Properties

Label 483.2.bf.a.388.13
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.13
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.546266 + 0.429588i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(-0.357657 + 1.47428i) q^{4} +(1.83567 + 0.353796i) q^{5} +(0.195789 - 0.666798i) q^{6} +(0.230543 - 2.63569i) q^{7} +(-1.01534 - 2.22329i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-0.546266 + 0.429588i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(-0.357657 + 1.47428i) q^{4} +(1.83567 + 0.353796i) q^{5} +(0.195789 - 0.666798i) q^{6} +(0.230543 - 2.63569i) q^{7} +(-1.01534 - 2.22329i) q^{8} +(0.327068 - 0.945001i) q^{9} +(-1.15475 + 0.595314i) q^{10} +(3.07670 - 3.91235i) q^{11} +(-0.563829 - 1.40838i) q^{12} +(3.49893 - 5.44445i) q^{13} +(1.00632 + 1.53883i) q^{14} +(-1.70051 + 0.776597i) q^{15} +(-1.18706 - 0.611974i) q^{16} +(-1.49686 + 1.42726i) q^{17} +(0.227295 + 0.656726i) q^{18} +(3.74090 + 3.56695i) q^{19} +(-1.17813 + 2.57976i) q^{20} +(1.34105 + 2.28070i) q^{21} +3.45890i q^{22} +(1.51441 + 4.55045i) q^{23} +(2.11671 + 1.22208i) q^{24} +(-1.39734 - 0.559411i) q^{25} +(0.427522 + 4.47722i) q^{26} +(0.281733 + 0.959493i) q^{27} +(3.80330 + 1.28256i) q^{28} +(-8.23550 - 2.41816i) q^{29} +(0.595314 - 1.15475i) q^{30} +(0.368791 - 3.86215i) q^{31} +(5.71134 - 1.10077i) q^{32} +(-0.236825 + 4.97157i) q^{33} +(0.204553 - 1.42270i) q^{34} +(1.35569 - 4.75668i) q^{35} +(1.27622 + 0.820178i) q^{36} +(9.74973 + 3.37441i) q^{37} +(-3.57585 - 0.341452i) q^{38} +(0.307942 + 6.46450i) q^{39} +(-1.07724 - 4.44044i) q^{40} +(-5.54206 - 4.80222i) q^{41} +(-1.71233 - 0.669765i) q^{42} +(8.96222 + 4.09291i) q^{43} +(4.66750 + 5.93521i) q^{44} +(0.934725 - 1.61899i) q^{45} +(-2.78209 - 1.83518i) q^{46} +(-3.79868 + 2.19317i) q^{47} +(1.32193 - 0.190065i) q^{48} +(-6.89370 - 1.21528i) q^{49} +(1.00364 - 0.294694i) q^{50} +(0.391419 - 2.03088i) q^{51} +(6.77524 + 7.10567i) q^{52} +(0.127240 - 0.00606117i) q^{53} +(-0.566088 - 0.403109i) q^{54} +(7.03197 - 6.09324i) q^{55} +(-6.09398 + 2.16356i) q^{56} +(-5.11628 - 0.735610i) q^{57} +(5.53759 - 2.21692i) q^{58} +(3.09919 + 6.01158i) q^{59} +(-0.536725 - 2.78479i) q^{60} +(1.87339 - 2.63081i) q^{61} +(1.45768 + 2.26819i) q^{62} +(-2.41532 - 1.07991i) q^{63} +(-0.897866 + 1.03619i) q^{64} +(8.34909 - 8.75628i) q^{65} +(-2.00636 - 2.81754i) q^{66} +(3.09333 - 7.72676i) q^{67} +(-1.56882 - 2.71727i) q^{68} +(-3.87312 - 2.82824i) q^{69} +(1.30284 + 3.18080i) q^{70} +(0.878134 + 6.10756i) q^{71} +(-2.43310 + 0.232333i) q^{72} +(0.156969 + 0.0380802i) q^{73} +(-6.77555 + 2.34504i) q^{74} +(1.46273 - 0.354855i) q^{75} +(-6.59665 + 4.23941i) q^{76} +(-9.60241 - 9.01119i) q^{77} +(-2.94529 - 3.39905i) q^{78} +(-2.79290 - 0.133042i) q^{79} +(-1.96254 - 1.54336i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(5.09042 + 0.242486i) q^{82} +(-1.94181 - 2.24097i) q^{83} +(-3.84203 + 1.16139i) q^{84} +(-3.25270 + 2.09038i) q^{85} +(-6.65402 + 1.61425i) q^{86} +(8.11111 - 2.80728i) q^{87} +(-11.8222 - 2.86803i) q^{88} +(-9.90623 + 0.945930i) q^{89} +(0.184891 + 1.28595i) q^{90} +(-13.5432 - 10.4773i) q^{91} +(-7.25029 + 0.605163i) q^{92} +(1.93986 + 3.35994i) q^{93} +(1.13293 - 2.82993i) q^{94} +(5.60508 + 7.87124i) q^{95} +(-4.01381 + 4.20956i) q^{96} +(-2.18175 + 2.51788i) q^{97} +(4.28786 - 2.29759i) q^{98} +(-2.69088 - 4.18709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.546266 + 0.429588i −0.386268 + 0.303765i −0.792344 0.610075i \(-0.791139\pi\)
0.406075 + 0.913840i \(0.366897\pi\)
\(3\) −0.814576 + 0.580057i −0.470296 + 0.334896i
\(4\) −0.357657 + 1.47428i −0.178829 + 0.737142i
\(5\) 1.83567 + 0.353796i 0.820935 + 0.158222i 0.582390 0.812909i \(-0.302118\pi\)
0.238544 + 0.971132i \(0.423330\pi\)
\(6\) 0.195789 0.666798i 0.0799307 0.272219i
\(7\) 0.230543 2.63569i 0.0871370 0.996196i
\(8\) −1.01534 2.22329i −0.358978 0.786052i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) −1.15475 + 0.595314i −0.365164 + 0.188255i
\(11\) 3.07670 3.91235i 0.927661 1.17962i −0.0557900 0.998443i \(-0.517768\pi\)
0.983451 0.181174i \(-0.0579899\pi\)
\(12\) −0.563829 1.40838i −0.162764 0.406564i
\(13\) 3.49893 5.44445i 0.970430 1.51002i 0.114177 0.993460i \(-0.463577\pi\)
0.856253 0.516557i \(-0.172787\pi\)
\(14\) 1.00632 + 1.53883i 0.268951 + 0.411268i
\(15\) −1.70051 + 0.776597i −0.439070 + 0.200517i
\(16\) −1.18706 0.611974i −0.296766 0.152993i
\(17\) −1.49686 + 1.42726i −0.363043 + 0.346161i −0.849543 0.527520i \(-0.823122\pi\)
0.486500 + 0.873681i \(0.338274\pi\)
\(18\) 0.227295 + 0.656726i 0.0535740 + 0.154792i
\(19\) 3.74090 + 3.56695i 0.858222 + 0.818313i 0.984809 0.173642i \(-0.0555536\pi\)
−0.126586 + 0.991956i \(0.540402\pi\)
\(20\) −1.17813 + 2.57976i −0.263439 + 0.576851i
\(21\) 1.34105 + 2.28070i 0.292642 + 0.497689i
\(22\) 3.45890i 0.737440i
\(23\) 1.51441 + 4.55045i 0.315775 + 0.948834i
\(24\) 2.11671 + 1.22208i 0.432071 + 0.249457i
\(25\) −1.39734 0.559411i −0.279468 0.111882i
\(26\) 0.427522 + 4.47722i 0.0838440 + 0.878055i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) 3.80330 + 1.28256i 0.718756 + 0.242381i
\(29\) −8.23550 2.41816i −1.52929 0.449041i −0.594460 0.804125i \(-0.702634\pi\)
−0.934835 + 0.355084i \(0.884452\pi\)
\(30\) 0.595314 1.15475i 0.108689 0.210827i
\(31\) 0.368791 3.86215i 0.0662368 0.693663i −0.899980 0.435932i \(-0.856419\pi\)
0.966217 0.257732i \(-0.0829750\pi\)
\(32\) 5.71134 1.10077i 1.00963 0.194591i
\(33\) −0.236825 + 4.97157i −0.0412259 + 0.865439i
\(34\) 0.204553 1.42270i 0.0350806 0.243991i
\(35\) 1.35569 4.75668i 0.229154 0.804025i
\(36\) 1.27622 + 0.820178i 0.212704 + 0.136696i
\(37\) 9.74973 + 3.37441i 1.60285 + 0.554750i 0.974733 0.223373i \(-0.0717067\pi\)
0.628112 + 0.778123i \(0.283828\pi\)
\(38\) −3.57585 0.341452i −0.580079 0.0553908i
\(39\) 0.307942 + 6.46450i 0.0493102 + 1.03515i
\(40\) −1.07724 4.44044i −0.170327 0.702096i
\(41\) −5.54206 4.80222i −0.865524 0.749981i 0.104104 0.994566i \(-0.466803\pi\)
−0.969628 + 0.244586i \(0.921348\pi\)
\(42\) −1.71233 0.669765i −0.264219 0.103347i
\(43\) 8.96222 + 4.09291i 1.36673 + 0.624162i 0.957543 0.288290i \(-0.0930868\pi\)
0.409182 + 0.912453i \(0.365814\pi\)
\(44\) 4.66750 + 5.93521i 0.703653 + 0.894767i
\(45\) 0.934725 1.61899i 0.139341 0.241345i
\(46\) −2.78209 1.83518i −0.410197 0.270583i
\(47\) −3.79868 + 2.19317i −0.554095 + 0.319907i −0.750772 0.660561i \(-0.770318\pi\)
0.196677 + 0.980468i \(0.436985\pi\)
\(48\) 1.32193 0.190065i 0.190805 0.0274336i
\(49\) −6.89370 1.21528i −0.984814 0.173611i
\(50\) 1.00364 0.294694i 0.141936 0.0416761i
\(51\) 0.391419 2.03088i 0.0548097 0.284380i
\(52\) 6.77524 + 7.10567i 0.939557 + 0.985379i
\(53\) 0.127240 0.00606117i 0.0174777 0.000832565i −0.0388412 0.999245i \(-0.512367\pi\)
0.0563189 + 0.998413i \(0.482064\pi\)
\(54\) −0.566088 0.403109i −0.0770348 0.0548562i
\(55\) 7.03197 6.09324i 0.948191 0.821612i
\(56\) −6.09398 + 2.16356i −0.814342 + 0.289118i
\(57\) −5.11628 0.735610i −0.677668 0.0974340i
\(58\) 5.53759 2.21692i 0.727121 0.291095i
\(59\) 3.09919 + 6.01158i 0.403480 + 0.782641i 0.999798 0.0201068i \(-0.00640063\pi\)
−0.596318 + 0.802748i \(0.703370\pi\)
\(60\) −0.536725 2.78479i −0.0692908 0.359515i
\(61\) 1.87339 2.63081i 0.239863 0.336841i −0.677043 0.735943i \(-0.736739\pi\)
0.916906 + 0.399103i \(0.130678\pi\)
\(62\) 1.45768 + 2.26819i 0.185125 + 0.288061i
\(63\) −2.41532 1.07991i −0.304302 0.136056i
\(64\) −0.897866 + 1.03619i −0.112233 + 0.129524i
\(65\) 8.34909 8.75628i 1.03558 1.08608i
\(66\) −2.00636 2.81754i −0.246966 0.346815i
\(67\) 3.09333 7.72676i 0.377910 0.943974i −0.610479 0.792032i \(-0.709023\pi\)
0.988389 0.151941i \(-0.0485525\pi\)
\(68\) −1.56882 2.71727i −0.190247 0.329518i
\(69\) −3.87312 2.82824i −0.466269 0.340481i
\(70\) 1.30284 + 3.18080i 0.155720 + 0.380179i
\(71\) 0.878134 + 6.10756i 0.104215 + 0.724834i 0.973194 + 0.229985i \(0.0738676\pi\)
−0.868979 + 0.494849i \(0.835223\pi\)
\(72\) −2.43310 + 0.232333i −0.286743 + 0.0273807i
\(73\) 0.156969 + 0.0380802i 0.0183718 + 0.00445695i 0.244934 0.969540i \(-0.421234\pi\)
−0.226563 + 0.973997i \(0.572749\pi\)
\(74\) −6.77555 + 2.34504i −0.787642 + 0.272606i
\(75\) 1.46273 0.354855i 0.168902 0.0409751i
\(76\) −6.59665 + 4.23941i −0.756688 + 0.486294i
\(77\) −9.60241 9.01119i −1.09430 1.02692i
\(78\) −2.94529 3.39905i −0.333488 0.384866i
\(79\) −2.79290 0.133042i −0.314226 0.0149684i −0.110123 0.993918i \(-0.535125\pi\)
−0.204103 + 0.978950i \(0.565428\pi\)
\(80\) −1.96254 1.54336i −0.219418 0.172553i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 5.09042 + 0.242486i 0.562142 + 0.0267781i
\(83\) −1.94181 2.24097i −0.213142 0.245979i 0.639104 0.769120i \(-0.279305\pi\)
−0.852246 + 0.523142i \(0.824760\pi\)
\(84\) −3.84203 + 1.16139i −0.419200 + 0.126718i
\(85\) −3.25270 + 2.09038i −0.352805 + 0.226734i
\(86\) −6.65402 + 1.61425i −0.717521 + 0.174069i
\(87\) 8.11111 2.80728i 0.869603 0.300972i
\(88\) −11.8222 2.86803i −1.26025 0.305733i
\(89\) −9.90623 + 0.945930i −1.05006 + 0.100268i −0.605789 0.795625i \(-0.707143\pi\)
−0.444269 + 0.895894i \(0.646536\pi\)
\(90\) 0.184891 + 1.28595i 0.0194892 + 0.135551i
\(91\) −13.5432 10.4773i −1.41971 1.09832i
\(92\) −7.25029 + 0.605163i −0.755895 + 0.0630926i
\(93\) 1.93986 + 3.35994i 0.201154 + 0.348409i
\(94\) 1.13293 2.82993i 0.116853 0.291885i
\(95\) 5.60508 + 7.87124i 0.575069 + 0.807572i
\(96\) −4.01381 + 4.20956i −0.409658 + 0.429637i
\(97\) −2.18175 + 2.51788i −0.221523 + 0.255652i −0.855623 0.517600i \(-0.826826\pi\)
0.634099 + 0.773252i \(0.281371\pi\)
\(98\) 4.28786 2.29759i 0.433140 0.232091i
\(99\) −2.69088 4.18709i −0.270444 0.420818i
\(100\) 1.32450 1.86000i 0.132450 0.186000i
\(101\) −0.271634 1.40937i −0.0270286 0.140238i 0.965908 0.258887i \(-0.0833557\pi\)
−0.992936 + 0.118649i \(0.962144\pi\)
\(102\) 0.658622 + 1.27755i 0.0652133 + 0.126496i
\(103\) 4.75837 1.90497i 0.468856 0.187702i −0.125190 0.992133i \(-0.539954\pi\)
0.594046 + 0.804431i \(0.297530\pi\)
\(104\) −15.6572 2.25117i −1.53532 0.220745i
\(105\) 1.65483 + 4.66105i 0.161495 + 0.454872i
\(106\) −0.0669028 + 0.0579716i −0.00649818 + 0.00563070i
\(107\) 10.8063 + 7.69515i 1.04469 + 0.743918i 0.967442 0.253094i \(-0.0814481\pi\)
0.0772454 + 0.997012i \(0.475387\pi\)
\(108\) −1.51533 + 0.0721840i −0.145813 + 0.00694591i
\(109\) 8.69830 + 9.12252i 0.833146 + 0.873779i 0.993564 0.113270i \(-0.0361326\pi\)
−0.160418 + 0.987049i \(0.551284\pi\)
\(110\) −1.22374 + 6.34938i −0.116679 + 0.605390i
\(111\) −9.89924 + 2.90668i −0.939595 + 0.275890i
\(112\) −1.88664 + 2.98764i −0.178271 + 0.282306i
\(113\) −6.11794 + 0.879628i −0.575528 + 0.0827484i −0.423932 0.905694i \(-0.639350\pi\)
−0.151596 + 0.988443i \(0.548441\pi\)
\(114\) 3.11086 1.79606i 0.291359 0.168216i
\(115\) 1.17001 + 8.88889i 0.109104 + 0.828893i
\(116\) 6.51055 11.2766i 0.604489 1.04701i
\(117\) −4.00062 5.08720i −0.369857 0.470312i
\(118\) −4.27549 1.95255i −0.393590 0.179747i
\(119\) 3.41671 + 4.27431i 0.313210 + 0.391826i
\(120\) 3.45320 + 2.99222i 0.315233 + 0.273151i
\(121\) −3.24700 13.3843i −0.295182 1.21676i
\(122\) 0.106795 + 2.24191i 0.00966880 + 0.202973i
\(123\) 7.29999 + 0.697064i 0.658218 + 0.0628522i
\(124\) 5.56201 + 1.92503i 0.499483 + 0.172873i
\(125\) −10.2305 6.57477i −0.915047 0.588065i
\(126\) 1.78333 0.447676i 0.158871 0.0398821i
\(127\) −1.43331 + 9.96887i −0.127185 + 0.884594i 0.821913 + 0.569613i \(0.192907\pi\)
−0.949098 + 0.314980i \(0.898002\pi\)
\(128\) −0.508178 + 10.6680i −0.0449171 + 0.942925i
\(129\) −9.67453 + 1.86461i −0.851794 + 0.164170i
\(130\) −0.799231 + 8.36993i −0.0700972 + 0.734091i
\(131\) 2.10652 4.08608i 0.184047 0.357002i −0.778704 0.627392i \(-0.784122\pi\)
0.962751 + 0.270390i \(0.0871526\pi\)
\(132\) −7.24480 2.12726i −0.630579 0.185155i
\(133\) 10.2638 9.03752i 0.889984 0.783653i
\(134\) 1.62955 + 5.54972i 0.140771 + 0.479423i
\(135\) 0.177702 + 1.86098i 0.0152942 + 0.160168i
\(136\) 4.69304 + 1.87881i 0.402425 + 0.161107i
\(137\) 5.43165 + 3.13596i 0.464057 + 0.267923i 0.713749 0.700402i \(-0.246996\pi\)
−0.249692 + 0.968325i \(0.580329\pi\)
\(138\) 3.33073 0.118873i 0.283531 0.0101191i
\(139\) 13.6432i 1.15720i −0.815610 0.578602i \(-0.803598\pi\)
0.815610 0.578602i \(-0.196402\pi\)
\(140\) 6.52782 + 3.69994i 0.551701 + 0.312702i
\(141\) 1.82215 3.98996i 0.153453 0.336015i
\(142\) −3.10343 2.95912i −0.260434 0.248323i
\(143\) −10.5354 30.4400i −0.881013 2.54552i
\(144\) −0.966566 + 0.921619i −0.0805472 + 0.0768016i
\(145\) −14.2621 7.35262i −1.18440 0.610602i
\(146\) −0.102106 + 0.0466300i −0.00845031 + 0.00385913i
\(147\) 6.32037 3.00880i 0.521296 0.248162i
\(148\) −8.46191 + 13.1670i −0.695564 + 1.08232i
\(149\) 1.32811 + 3.31745i 0.108803 + 0.271776i 0.972770 0.231771i \(-0.0744522\pi\)
−0.863968 + 0.503547i \(0.832028\pi\)
\(150\) −0.646599 + 0.822218i −0.0527946 + 0.0671338i
\(151\) 7.93617 4.09138i 0.645836 0.332952i −0.103998 0.994577i \(-0.533164\pi\)
0.749834 + 0.661626i \(0.230133\pi\)
\(152\) 4.13206 11.9388i 0.335154 0.968364i
\(153\) 0.859183 + 1.88135i 0.0694609 + 0.152098i
\(154\) 9.11658 + 0.797424i 0.734635 + 0.0642583i
\(155\) 2.04339 6.95915i 0.164129 0.558972i
\(156\) −9.64064 1.85808i −0.771869 0.148766i
\(157\) −2.91700 + 12.0241i −0.232802 + 0.959624i 0.728701 + 0.684831i \(0.240124\pi\)
−0.961504 + 0.274792i \(0.911391\pi\)
\(158\) 1.58282 1.12712i 0.125922 0.0896689i
\(159\) −0.100130 + 0.0787434i −0.00794086 + 0.00624476i
\(160\) 10.8736 0.859630
\(161\) 12.3427 2.94243i 0.972741 0.231896i
\(162\) 0.694948 0.0546003
\(163\) −15.3138 + 12.0429i −1.19947 + 0.943272i −0.999334 0.0364963i \(-0.988380\pi\)
−0.200134 + 0.979768i \(0.564138\pi\)
\(164\) 9.06199 6.45302i 0.707623 0.503896i
\(165\) −2.19365 + 9.04235i −0.170775 + 0.703946i
\(166\) 2.02344 + 0.389987i 0.157050 + 0.0302688i
\(167\) −3.42099 + 11.6508i −0.264724 + 0.901567i 0.714645 + 0.699487i \(0.246588\pi\)
−0.979369 + 0.202080i \(0.935230\pi\)
\(168\) 3.70902 5.29724i 0.286157 0.408691i
\(169\) −11.9991 26.2743i −0.923005 2.02110i
\(170\) 0.878836 2.53923i 0.0674036 0.194750i
\(171\) 4.59430 2.36852i 0.351335 0.181126i
\(172\) −9.23951 + 11.7490i −0.704506 + 0.895852i
\(173\) −7.13269 17.8166i −0.542288 1.35457i −0.906086 0.423093i \(-0.860944\pi\)
0.363798 0.931478i \(-0.381480\pi\)
\(174\) −3.22485 + 5.01796i −0.244475 + 0.380411i
\(175\) −1.79658 + 3.55399i −0.135809 + 0.268656i
\(176\) −6.04650 + 2.76134i −0.455772 + 0.208144i
\(177\) −6.01158 3.09919i −0.451858 0.232949i
\(178\) 5.00507 4.77233i 0.375146 0.357701i
\(179\) 4.72184 + 13.6429i 0.352927 + 1.01972i 0.972121 + 0.234478i \(0.0753381\pi\)
−0.619194 + 0.785238i \(0.712541\pi\)
\(180\) 2.05254 + 1.95709i 0.152987 + 0.145873i
\(181\) −0.538131 + 1.17834i −0.0399989 + 0.0875854i −0.928577 0.371141i \(-0.878967\pi\)
0.888578 + 0.458726i \(0.151694\pi\)
\(182\) 11.8991 0.0946255i 0.882021 0.00701411i
\(183\) 3.22967i 0.238744i
\(184\) 8.57933 7.98723i 0.632476 0.588826i
\(185\) 16.7034 + 9.64371i 1.22806 + 0.709019i
\(186\) −2.50307 1.00208i −0.183534 0.0734759i
\(187\) 0.978518 + 10.2475i 0.0715563 + 0.749372i
\(188\) −1.87473 6.38474i −0.136729 0.465655i
\(189\) 2.59388 0.521355i 0.188677 0.0379230i
\(190\) −6.44326 1.89191i −0.467443 0.137254i
\(191\) −1.71499 + 3.32661i −0.124092 + 0.240705i −0.942696 0.333654i \(-0.891718\pi\)
0.818604 + 0.574359i \(0.194749\pi\)
\(192\) 0.130329 1.36487i 0.00940571 0.0985010i
\(193\) 5.27513 1.01670i 0.379712 0.0731835i 0.00417589 0.999991i \(-0.498671\pi\)
0.375536 + 0.926808i \(0.377459\pi\)
\(194\) 0.110167 2.31269i 0.00790952 0.166041i
\(195\) −1.72183 + 11.9756i −0.123303 + 0.857591i
\(196\) 4.25725 9.72862i 0.304089 0.694901i
\(197\) 15.5126 + 9.96935i 1.10523 + 0.710287i 0.960248 0.279148i \(-0.0900519\pi\)
0.144980 + 0.989435i \(0.453688\pi\)
\(198\) 3.26866 + 1.13129i 0.232294 + 0.0803976i
\(199\) 8.14053 + 0.777326i 0.577067 + 0.0551032i 0.379509 0.925188i \(-0.376093\pi\)
0.197558 + 0.980291i \(0.436699\pi\)
\(200\) 0.175047 + 3.67469i 0.0123777 + 0.259840i
\(201\) 1.96221 + 8.08834i 0.138404 + 0.570507i
\(202\) 0.753834 + 0.653201i 0.0530396 + 0.0459590i
\(203\) −8.27216 + 21.1487i −0.580592 + 1.48435i
\(204\) 2.85410 + 1.30342i 0.199827 + 0.0912578i
\(205\) −8.47436 10.7760i −0.591875 0.752630i
\(206\) −1.78099 + 3.08476i −0.124087 + 0.214925i
\(207\) 4.79549 + 0.0571908i 0.333310 + 0.00397503i
\(208\) −7.48531 + 4.32165i −0.519013 + 0.299652i
\(209\) 25.4648 3.66128i 1.76144 0.253256i
\(210\) −2.90631 1.83528i −0.200555 0.126646i
\(211\) −22.3429 + 6.56046i −1.53815 + 0.451641i −0.937532 0.347898i \(-0.886895\pi\)
−0.600614 + 0.799539i \(0.705077\pi\)
\(212\) −0.0365723 + 0.189755i −0.00251179 + 0.0130324i
\(213\) −4.25804 4.46570i −0.291756 0.305985i
\(214\) −9.20888 + 0.438673i −0.629506 + 0.0299871i
\(215\) 15.0036 + 10.6840i 1.02324 + 0.728643i
\(216\) 1.84718 1.60059i 0.125684 0.108906i
\(217\) −10.0944 1.86241i −0.685253 0.126429i
\(218\) −8.67052 1.24663i −0.587242 0.0844326i
\(219\) −0.149952 + 0.0600316i −0.0101328 + 0.00405656i
\(220\) 6.46813 + 12.5464i 0.436081 + 0.845879i
\(221\) 2.53320 + 13.1435i 0.170401 + 0.884126i
\(222\) 4.15895 5.84042i 0.279130 0.391983i
\(223\) −10.1911 15.8577i −0.682448 1.06191i −0.993753 0.111600i \(-0.964402\pi\)
0.311305 0.950310i \(-0.399234\pi\)
\(224\) −1.58458 15.3071i −0.105874 1.02275i
\(225\) −0.985670 + 1.13752i −0.0657113 + 0.0758349i
\(226\) 2.96415 3.10871i 0.197172 0.206788i
\(227\) −4.92528 6.91659i −0.326902 0.459070i 0.618116 0.786087i \(-0.287896\pi\)
−0.945019 + 0.327017i \(0.893957\pi\)
\(228\) 2.91437 7.27976i 0.193009 0.482114i
\(229\) −7.95167 13.7727i −0.525461 0.910126i −0.999560 0.0296540i \(-0.990559\pi\)
0.474099 0.880472i \(-0.342774\pi\)
\(230\) −4.45770 4.35307i −0.293932 0.287033i
\(231\) 13.0489 + 1.77036i 0.858555 + 0.116481i
\(232\) 2.98558 + 20.7652i 0.196013 + 1.36330i
\(233\) 21.8174 2.08331i 1.42930 0.136482i 0.648479 0.761233i \(-0.275405\pi\)
0.780824 + 0.624751i \(0.214799\pi\)
\(234\) 4.37080 + 1.06035i 0.285728 + 0.0693169i
\(235\) −7.74905 + 2.68197i −0.505492 + 0.174953i
\(236\) −9.97123 + 2.41899i −0.649072 + 0.157463i
\(237\) 2.35220 1.51167i 0.152792 0.0981934i
\(238\) −3.70263 0.867131i −0.240006 0.0562078i
\(239\) 16.8807 + 19.4813i 1.09192 + 1.26014i 0.963294 + 0.268450i \(0.0865115\pi\)
0.128627 + 0.991693i \(0.458943\pi\)
\(240\) 2.49387 + 0.118798i 0.160979 + 0.00766836i
\(241\) −15.2585 11.9994i −0.982888 0.772952i −0.00899536 0.999960i \(-0.502863\pi\)
−0.973893 + 0.227008i \(0.927106\pi\)
\(242\) 7.52348 + 5.91653i 0.483628 + 0.380329i
\(243\) 0.998867 + 0.0475819i 0.0640774 + 0.00305238i
\(244\) 3.20853 + 3.70284i 0.205405 + 0.237050i
\(245\) −12.2246 4.66980i −0.780999 0.298343i
\(246\) −4.28719 + 2.75521i −0.273341 + 0.175666i
\(247\) 32.5092 7.88665i 2.06851 0.501816i
\(248\) −8.96114 + 3.10148i −0.569033 + 0.196944i
\(249\) 2.88165 + 0.699080i 0.182617 + 0.0443024i
\(250\) 8.41304 0.803348i 0.532087 0.0508082i
\(251\) −2.12590 14.7860i −0.134186 0.933283i −0.940015 0.341134i \(-0.889189\pi\)
0.805829 0.592149i \(-0.201720\pi\)
\(252\) 2.45596 3.17463i 0.154711 0.199983i
\(253\) 22.4623 + 8.07550i 1.41219 + 0.507702i
\(254\) −3.49954 6.06139i −0.219581 0.380325i
\(255\) 1.43703 3.58953i 0.0899903 0.224785i
\(256\) −5.89585 8.27956i −0.368490 0.517472i
\(257\) −1.14690 + 1.20283i −0.0715415 + 0.0750305i −0.758532 0.651636i \(-0.774083\pi\)
0.686990 + 0.726667i \(0.258931\pi\)
\(258\) 4.48385 5.17464i 0.279152 0.322159i
\(259\) 11.1416 24.9193i 0.692307 1.54841i
\(260\) 9.92312 + 15.4407i 0.615406 + 0.957590i
\(261\) −4.97873 + 6.99165i −0.308176 + 0.432773i
\(262\) 0.604611 + 3.13702i 0.0373530 + 0.193806i
\(263\) −4.11668 7.98524i −0.253845 0.492391i 0.727136 0.686493i \(-0.240851\pi\)
−0.980981 + 0.194102i \(0.937821\pi\)
\(264\) 11.2937 4.52131i 0.695079 0.278268i
\(265\) 0.235714 + 0.0338905i 0.0144798 + 0.00208188i
\(266\) −1.72435 + 9.34610i −0.105726 + 0.573046i
\(267\) 7.52068 6.51671i 0.460258 0.398816i
\(268\) 10.2851 + 7.32397i 0.628261 + 0.447383i
\(269\) −1.81030 + 0.0862353i −0.110376 + 0.00525786i −0.102697 0.994713i \(-0.532747\pi\)
−0.00767876 + 0.999971i \(0.502444\pi\)
\(270\) −0.896530 0.940254i −0.0545611 0.0572220i
\(271\) −5.88296 + 30.5237i −0.357364 + 1.85418i 0.144871 + 0.989450i \(0.453723\pi\)
−0.502236 + 0.864731i \(0.667489\pi\)
\(272\) 2.65032 0.778204i 0.160699 0.0471855i
\(273\) 17.1094 + 0.678704i 1.03551 + 0.0410770i
\(274\) −4.31430 + 0.620302i −0.260636 + 0.0374738i
\(275\) −6.48782 + 3.74574i −0.391230 + 0.225877i
\(276\) 5.55488 4.69853i 0.334365 0.282818i
\(277\) 1.80773 3.13107i 0.108616 0.188128i −0.806594 0.591106i \(-0.798692\pi\)
0.915210 + 0.402978i \(0.132025\pi\)
\(278\) 5.86098 + 7.45284i 0.351518 + 0.446991i
\(279\) −3.52912 1.61169i −0.211283 0.0964896i
\(280\) −11.9520 + 1.81556i −0.714267 + 0.108500i
\(281\) −19.0122 16.4742i −1.13417 0.982768i −0.134208 0.990953i \(-0.542849\pi\)
−0.999967 + 0.00818510i \(0.997395\pi\)
\(282\) 0.718659 + 2.96235i 0.0427955 + 0.176406i
\(283\) 1.21868 + 25.5833i 0.0724431 + 1.52077i 0.683950 + 0.729529i \(0.260261\pi\)
−0.611506 + 0.791239i \(0.709436\pi\)
\(284\) −9.31835 0.889794i −0.552942 0.0527996i
\(285\) −9.13153 3.16045i −0.540905 0.187209i
\(286\) 18.8318 + 12.1025i 1.11355 + 0.715633i
\(287\) −13.9348 + 13.5000i −0.822547 + 0.796881i
\(288\) 0.827767 5.75725i 0.0487767 0.339249i
\(289\) −0.605353 + 12.7079i −0.0356090 + 0.747525i
\(290\) 10.9495 2.11034i 0.642977 0.123924i
\(291\) 0.316691 3.31654i 0.0185648 0.194419i
\(292\) −0.112282 + 0.217797i −0.00657081 + 0.0127456i
\(293\) 7.23518 + 2.12444i 0.422684 + 0.124111i 0.486155 0.873873i \(-0.338399\pi\)
−0.0634714 + 0.997984i \(0.520217\pi\)
\(294\) −2.16006 + 4.35877i −0.125977 + 0.254208i
\(295\) 3.56220 + 12.1317i 0.207399 + 0.706337i
\(296\) −2.39701 25.1027i −0.139324 1.45906i
\(297\) 4.62068 + 1.84984i 0.268119 + 0.107339i
\(298\) −2.15064 1.24167i −0.124583 0.0719281i
\(299\) 30.0735 + 7.67661i 1.73919 + 0.443950i
\(300\) 2.28340i 0.131832i
\(301\) 12.8538 22.6780i 0.740881 1.30714i
\(302\) −2.57765 + 5.64427i −0.148327 + 0.324791i
\(303\) 1.03878 + 0.990476i 0.0596765 + 0.0569014i
\(304\) −2.25781 6.52353i −0.129495 0.374150i
\(305\) 4.36969 4.16649i 0.250208 0.238573i
\(306\) −1.27755 0.658622i −0.0730326 0.0376509i
\(307\) 10.5274 4.80772i 0.600833 0.274391i −0.0916895 0.995788i \(-0.529227\pi\)
0.692522 + 0.721397i \(0.256499\pi\)
\(308\) 16.7194 10.9338i 0.952678 0.623009i
\(309\) −2.77107 + 4.31187i −0.157641 + 0.245294i
\(310\) 1.87333 + 4.67936i 0.106398 + 0.265770i
\(311\) −1.70748 + 2.17124i −0.0968224 + 0.123120i −0.832050 0.554701i \(-0.812833\pi\)
0.735228 + 0.677820i \(0.237075\pi\)
\(312\) 14.0598 7.24832i 0.795979 0.410356i
\(313\) −8.31509 + 24.0249i −0.469997 + 1.35797i 0.422275 + 0.906468i \(0.361232\pi\)
−0.892272 + 0.451499i \(0.850889\pi\)
\(314\) −3.57193 7.82144i −0.201576 0.441389i
\(315\) −4.05166 2.83689i −0.228285 0.159841i
\(316\) 1.19504 4.06994i 0.0672264 0.228952i
\(317\) −26.8734 5.17943i −1.50936 0.290906i −0.633605 0.773656i \(-0.718426\pi\)
−0.875758 + 0.482751i \(0.839638\pi\)
\(318\) 0.0208706 0.0860297i 0.00117036 0.00482431i
\(319\) −34.7989 + 24.7802i −1.94836 + 1.38742i
\(320\) −2.01478 + 1.58444i −0.112630 + 0.0885730i
\(321\) −13.2662 −0.740447
\(322\) −5.47836 + 6.90963i −0.305297 + 0.385058i
\(323\) −10.6906 −0.594840
\(324\) 1.19248 0.937776i 0.0662489 0.0520987i
\(325\) −7.93489 + 5.65041i −0.440149 + 0.313428i
\(326\) 3.19191 13.1572i 0.176784 0.728713i
\(327\) −12.3770 2.38547i −0.684450 0.131917i
\(328\) −5.04964 + 17.1975i −0.278820 + 0.949573i
\(329\) 4.90476 + 10.5178i 0.270408 + 0.579863i
\(330\) −2.68617 5.88189i −0.147869 0.323788i
\(331\) −1.62798 + 4.70374i −0.0894818 + 0.258541i −0.980858 0.194723i \(-0.937619\pi\)
0.891376 + 0.453264i \(0.149740\pi\)
\(332\) 3.99834 2.06129i 0.219437 0.113128i
\(333\) 6.37765 8.10984i 0.349493 0.444416i
\(334\) −3.13628 7.83406i −0.171610 0.428661i
\(335\) 8.41201 13.0893i 0.459597 0.715147i
\(336\) −0.196191 3.52802i −0.0107031 0.192469i
\(337\) 29.0955 13.2875i 1.58493 0.723815i 0.588525 0.808479i \(-0.299709\pi\)
0.996410 + 0.0846643i \(0.0269818\pi\)
\(338\) 17.8418 + 9.19810i 0.970467 + 0.500310i
\(339\) 4.47330 4.26528i 0.242956 0.231658i
\(340\) −1.91847 5.54305i −0.104043 0.300614i
\(341\) −13.9754 13.3255i −0.756812 0.721618i
\(342\) −1.49222 + 3.26750i −0.0806899 + 0.176686i
\(343\) −4.79239 + 17.8895i −0.258764 + 0.965940i
\(344\) 24.0813i 1.29838i
\(345\) −6.10913 6.56200i −0.328904 0.353286i
\(346\) 11.5501 + 6.66848i 0.620940 + 0.358500i
\(347\) −23.6601 9.47209i −1.27014 0.508489i −0.363976 0.931408i \(-0.618581\pi\)
−0.906167 + 0.422920i \(0.861005\pi\)
\(348\) 1.23773 + 12.9621i 0.0663495 + 0.694843i
\(349\) −0.556190 1.89421i −0.0297722 0.101395i 0.943267 0.332036i \(-0.107736\pi\)
−0.973039 + 0.230642i \(0.925917\pi\)
\(350\) −0.545341 2.71321i −0.0291497 0.145027i
\(351\) 6.20967 + 1.82332i 0.331448 + 0.0973218i
\(352\) 13.2655 25.7315i 0.707054 1.37149i
\(353\) −1.75693 + 18.3994i −0.0935120 + 0.979302i 0.819965 + 0.572413i \(0.193993\pi\)
−0.913477 + 0.406889i \(0.866613\pi\)
\(354\) 4.61530 0.889526i 0.245300 0.0472778i
\(355\) −0.548866 + 11.5221i −0.0291308 + 0.611530i
\(356\) 2.14847 14.9429i 0.113868 0.791973i
\(357\) −5.26252 1.49986i −0.278522 0.0793812i
\(358\) −8.44020 5.42419i −0.446079 0.286677i
\(359\) 7.93207 + 2.74532i 0.418639 + 0.144892i 0.528263 0.849081i \(-0.322844\pi\)
−0.109624 + 0.993973i \(0.534965\pi\)
\(360\) −4.54855 0.434334i −0.239730 0.0228914i
\(361\) 0.367212 + 7.70873i 0.0193269 + 0.405722i
\(362\) −0.212239 0.874863i −0.0111551 0.0459818i
\(363\) 10.4086 + 9.01911i 0.546310 + 0.473381i
\(364\) 20.2903 16.2193i 1.06350 0.850120i
\(365\) 0.274670 + 0.125437i 0.0143769 + 0.00656569i
\(366\) −1.38743 1.76426i −0.0725221 0.0922193i
\(367\) 8.56035 14.8270i 0.446846 0.773961i −0.551332 0.834286i \(-0.685880\pi\)
0.998179 + 0.0603250i \(0.0192137\pi\)
\(368\) 0.987058 6.32845i 0.0514540 0.329893i
\(369\) −6.35073 + 3.66660i −0.330606 + 0.190875i
\(370\) −13.2673 + 1.90755i −0.689735 + 0.0991689i
\(371\) 0.0133588 0.336761i 0.000693555 0.0174838i
\(372\) −5.64731 + 1.65820i −0.292799 + 0.0859736i
\(373\) −1.61781 + 8.39400i −0.0837671 + 0.434625i 0.915696 + 0.401871i \(0.131640\pi\)
−0.999463 + 0.0327541i \(0.989572\pi\)
\(374\) −4.93674 5.17750i −0.255273 0.267722i
\(375\) 12.1473 0.578647i 0.627283 0.0298812i
\(376\) 8.73303 + 6.21876i 0.450371 + 0.320708i
\(377\) −41.9810 + 36.3768i −2.16213 + 1.87350i
\(378\) −1.19298 + 1.39910i −0.0613602 + 0.0719618i
\(379\) −7.39477 1.06321i −0.379844 0.0546133i −0.0502515 0.998737i \(-0.516002\pi\)
−0.329593 + 0.944123i \(0.606911\pi\)
\(380\) −13.6091 + 5.44828i −0.698134 + 0.279491i
\(381\) −4.61497 8.95180i −0.236432 0.458614i
\(382\) −0.492234 2.55395i −0.0251849 0.130672i
\(383\) 14.4237 20.2553i 0.737018 1.03500i −0.260561 0.965457i \(-0.583908\pi\)
0.997579 0.0695397i \(-0.0221531\pi\)
\(384\) −5.77408 8.98465i −0.294658 0.458496i
\(385\) −14.4387 19.9388i −0.735864 1.01618i
\(386\) −2.44486 + 2.82152i −0.124440 + 0.143612i
\(387\) 6.79905 7.13064i 0.345615 0.362471i
\(388\) −2.93175 4.11706i −0.148837 0.209012i
\(389\) −8.98893 + 22.4533i −0.455757 + 1.13843i 0.505514 + 0.862819i \(0.331303\pi\)
−0.961270 + 0.275607i \(0.911121\pi\)
\(390\) −4.20400 7.28154i −0.212878 0.368715i
\(391\) −8.76152 4.64996i −0.443089 0.235158i
\(392\) 4.29755 + 16.5606i 0.217059 + 0.836438i
\(393\) 0.654237 + 4.55032i 0.0330019 + 0.229533i
\(394\) −12.7567 + 1.21812i −0.642675 + 0.0613680i
\(395\) −5.07976 1.23234i −0.255591 0.0620056i
\(396\) 7.13537 2.46958i 0.358566 0.124101i
\(397\) −6.40400 + 1.55359i −0.321407 + 0.0779726i −0.393217 0.919446i \(-0.628638\pi\)
0.0718094 + 0.997418i \(0.477123\pi\)
\(398\) −4.78083 + 3.07245i −0.239641 + 0.154008i
\(399\) −3.11836 + 13.3153i −0.156113 + 0.666600i
\(400\) 1.31639 + 1.51919i 0.0658194 + 0.0759597i
\(401\) −7.59086 0.361597i −0.379069 0.0180573i −0.142817 0.989749i \(-0.545616\pi\)
−0.236252 + 0.971692i \(0.575919\pi\)
\(402\) −4.54654 3.57544i −0.226761 0.178327i
\(403\) −19.7369 15.5213i −0.983166 0.773170i
\(404\) 2.17496 + 0.103606i 0.108209 + 0.00515461i
\(405\) −1.22423 1.41284i −0.0608324 0.0702044i
\(406\) −4.56645 15.1065i −0.226629 0.749721i
\(407\) 43.1989 27.7622i 2.14129 1.37612i
\(408\) −4.91265 + 1.19180i −0.243213 + 0.0590027i
\(409\) −35.9913 + 12.4567i −1.77966 + 0.615945i −0.999948 0.0101987i \(-0.996754\pi\)
−0.779708 + 0.626144i \(0.784632\pi\)
\(410\) 9.25851 + 2.24609i 0.457245 + 0.110926i
\(411\) −6.24352 + 0.596184i −0.307970 + 0.0294076i
\(412\) 1.10659 + 7.69652i 0.0545179 + 0.379180i
\(413\) 16.5591 6.78256i 0.814822 0.333748i
\(414\) −2.64418 + 2.02885i −0.129954 + 0.0997123i
\(415\) −2.77168 4.80068i −0.136056 0.235656i
\(416\) 13.9905 34.9466i 0.685941 1.71340i
\(417\) 7.91385 + 11.1135i 0.387543 + 0.544228i
\(418\) −12.3377 + 12.9394i −0.603457 + 0.632887i
\(419\) −15.1865 + 17.5261i −0.741907 + 0.856206i −0.993758 0.111560i \(-0.964415\pi\)
0.251851 + 0.967766i \(0.418961\pi\)
\(420\) −7.46358 + 0.772625i −0.364185 + 0.0377002i
\(421\) −3.36518 5.23633i −0.164009 0.255203i 0.749515 0.661987i \(-0.230287\pi\)
−0.913524 + 0.406784i \(0.866650\pi\)
\(422\) 9.38686 13.1820i 0.456945 0.641689i
\(423\) 0.830121 + 4.30708i 0.0403619 + 0.209417i
\(424\) −0.142667 0.276736i −0.00692855 0.0134395i
\(425\) 2.89006 1.15700i 0.140188 0.0561229i
\(426\) 4.24444 + 0.610258i 0.205644 + 0.0295671i
\(427\) −6.50210 5.54419i −0.314659 0.268302i
\(428\) −15.2098 + 13.1794i −0.735194 + 0.637049i
\(429\) 26.2388 + 18.6846i 1.26682 + 0.902099i
\(430\) −12.7857 + 0.609057i −0.616580 + 0.0293713i
\(431\) −2.04759 2.14746i −0.0986292 0.103439i 0.672569 0.740034i \(-0.265191\pi\)
−0.771198 + 0.636595i \(0.780342\pi\)
\(432\) 0.252750 1.31139i 0.0121604 0.0630944i
\(433\) 22.3103 6.55089i 1.07216 0.314816i 0.302424 0.953173i \(-0.402204\pi\)
0.769740 + 0.638358i \(0.220386\pi\)
\(434\) 6.31430 3.31907i 0.303096 0.159320i
\(435\) 15.8825 2.28356i 0.761508 0.109488i
\(436\) −16.5602 + 9.56103i −0.793090 + 0.457891i
\(437\) −10.5660 + 22.4246i −0.505438 + 1.07271i
\(438\) 0.0561246 0.0972107i 0.00268174 0.00464491i
\(439\) 8.90633 + 11.3253i 0.425076 + 0.540528i 0.950669 0.310208i \(-0.100399\pi\)
−0.525593 + 0.850736i \(0.676156\pi\)
\(440\) −20.6869 9.44739i −0.986209 0.450387i
\(441\) −3.40315 + 6.11707i −0.162055 + 0.291289i
\(442\) −7.03009 6.09161i −0.334387 0.289748i
\(443\) 0.170234 + 0.701716i 0.00808808 + 0.0333395i 0.975713 0.219054i \(-0.0702972\pi\)
−0.967625 + 0.252394i \(0.918782\pi\)
\(444\) −0.744734 15.6339i −0.0353435 0.741952i
\(445\) −18.5192 1.76837i −0.877894 0.0838287i
\(446\) 12.3793 + 4.28453i 0.586179 + 0.202879i
\(447\) −3.00615 1.93194i −0.142186 0.0913775i
\(448\) 2.52408 + 2.60538i 0.119252 + 0.123093i
\(449\) 1.79015 12.4508i 0.0844823 0.587587i −0.902974 0.429695i \(-0.858621\pi\)
0.987456 0.157892i \(-0.0504699\pi\)
\(450\) 0.0497711 1.04482i 0.00234623 0.0492534i
\(451\) −35.8392 + 6.90744i −1.68760 + 0.325259i
\(452\) 0.891307 9.33419i 0.0419236 0.439043i
\(453\) −4.09138 + 7.93617i −0.192230 + 0.372874i
\(454\) 5.66180 + 1.66245i 0.265721 + 0.0780228i
\(455\) −21.1540 24.0243i −0.991714 1.12628i
\(456\) 3.55931 + 12.1219i 0.166680 + 0.567659i
\(457\) 3.21552 + 33.6744i 0.150416 + 1.57522i 0.684003 + 0.729479i \(0.260237\pi\)
−0.533588 + 0.845745i \(0.679157\pi\)
\(458\) 10.2603 + 4.10761i 0.479433 + 0.191936i
\(459\) −1.79116 1.03413i −0.0836042 0.0482689i
\(460\) −13.5232 1.45424i −0.630523 0.0678045i
\(461\) 13.3213i 0.620435i 0.950666 + 0.310217i \(0.100402\pi\)
−0.950666 + 0.310217i \(0.899598\pi\)
\(462\) −7.88870 + 4.63857i −0.367015 + 0.215806i
\(463\) −6.32555 + 13.8510i −0.293973 + 0.643712i −0.997774 0.0666857i \(-0.978758\pi\)
0.703801 + 0.710397i \(0.251485\pi\)
\(464\) 8.29621 + 7.91042i 0.385142 + 0.367232i
\(465\) 2.37220 + 6.85404i 0.110008 + 0.317848i
\(466\) −11.0231 + 10.5105i −0.510636 + 0.486891i
\(467\) −19.5089 10.0575i −0.902762 0.465406i −0.0566398 0.998395i \(-0.518039\pi\)
−0.846123 + 0.532988i \(0.821069\pi\)
\(468\) 8.93083 4.07857i 0.412828 0.188532i
\(469\) −19.6522 9.93439i −0.907453 0.458728i
\(470\) 3.08090 4.79397i 0.142111 0.221129i
\(471\) −4.59851 11.4865i −0.211888 0.529271i
\(472\) 10.2188 12.9942i 0.470357 0.598107i
\(473\) 43.5870 22.4706i 2.00413 1.03320i
\(474\) −0.635533 + 1.83625i −0.0291910 + 0.0843418i
\(475\) −3.23193 7.07695i −0.148291 0.324713i
\(476\) −7.52356 + 3.50847i −0.344842 + 0.160810i
\(477\) 0.0358882 0.122224i 0.00164321 0.00559625i
\(478\) −17.5903 3.39025i −0.804562 0.155067i
\(479\) −2.57426 + 10.6113i −0.117621 + 0.484841i 0.882279 + 0.470726i \(0.156008\pi\)
−0.999900 + 0.0141146i \(0.995507\pi\)
\(480\) −8.85734 + 6.30728i −0.404280 + 0.287887i
\(481\) 52.4855 41.2750i 2.39313 1.88198i
\(482\) 13.4900 0.614454
\(483\) −8.34729 + 9.55630i −0.379815 + 0.434827i
\(484\) 20.8936 0.949710
\(485\) −4.89578 + 3.85009i −0.222306 + 0.174823i
\(486\) −0.566088 + 0.403109i −0.0256783 + 0.0182854i
\(487\) 1.60587 6.61949i 0.0727690 0.299958i −0.923784 0.382913i \(-0.874921\pi\)
0.996553 + 0.0829555i \(0.0264359\pi\)
\(488\) −7.75119 1.49392i −0.350880 0.0676266i
\(489\) 5.48868 18.6927i 0.248207 0.845314i
\(490\) 8.68396 2.70058i 0.392301 0.122000i
\(491\) 8.39394 + 18.3802i 0.378813 + 0.829485i 0.998986 + 0.0450199i \(0.0143351\pi\)
−0.620173 + 0.784465i \(0.712938\pi\)
\(492\) −3.63857 + 10.5129i −0.164039 + 0.473960i
\(493\) 15.7788 8.13453i 0.710640 0.366361i
\(494\) −14.3707 + 18.2738i −0.646567 + 0.822177i
\(495\) −3.45818 8.63812i −0.155434 0.388255i
\(496\) −2.80131 + 4.35893i −0.125783 + 0.195722i
\(497\) 16.3001 0.906434i 0.731158 0.0406591i
\(498\) −1.87446 + 0.856039i −0.0839967 + 0.0383600i
\(499\) 4.95358 + 2.55375i 0.221753 + 0.114321i 0.565524 0.824732i \(-0.308674\pi\)
−0.343771 + 0.939054i \(0.611704\pi\)
\(500\) 13.3521 12.7312i 0.597124 0.569357i
\(501\) −3.97148 11.4748i −0.177433 0.512658i
\(502\) 7.51319 + 7.16382i 0.335330 + 0.319737i
\(503\) −7.57023 + 16.5765i −0.337540 + 0.739109i −0.999950 0.0100326i \(-0.996806\pi\)
0.662410 + 0.749142i \(0.269534\pi\)
\(504\) 0.0514232 + 6.46645i 0.00229057 + 0.288039i
\(505\) 2.68324i 0.119402i
\(506\) −15.7395 + 5.23818i −0.699708 + 0.232865i
\(507\) 25.0147 + 14.4423i 1.11094 + 0.641404i
\(508\) −14.1843 5.67854i −0.629327 0.251944i
\(509\) 0.312986 + 3.27774i 0.0138729 + 0.145283i 0.999754 0.0221610i \(-0.00705465\pi\)
−0.985882 + 0.167444i \(0.946449\pi\)
\(510\) 0.757019 + 2.57817i 0.0335214 + 0.114163i
\(511\) 0.136556 0.404942i 0.00604086 0.0179136i
\(512\) −13.7174 4.02780i −0.606230 0.178005i
\(513\) −2.36852 + 4.59430i −0.104573 + 0.202843i
\(514\) 0.109789 1.14976i 0.00484257 0.0507137i
\(515\) 9.40875 1.81339i 0.414599 0.0799074i
\(516\) 0.711198 14.9299i 0.0313088 0.657252i
\(517\) −3.10698 + 21.6095i −0.136645 + 0.950385i
\(518\) 4.61874 + 18.3989i 0.202936 + 0.808400i
\(519\) 16.1448 + 10.3756i 0.708676 + 0.455438i
\(520\) −27.9449 9.67184i −1.22547 0.424138i
\(521\) −29.2567 2.79367i −1.28176 0.122393i −0.568143 0.822930i \(-0.692338\pi\)
−0.713616 + 0.700537i \(0.752944\pi\)
\(522\) −0.283820 5.95811i −0.0124225 0.260779i
\(523\) −7.79382 32.1266i −0.340800 1.40480i −0.842006 0.539468i \(-0.818625\pi\)
0.501206 0.865328i \(-0.332890\pi\)
\(524\) 5.27062 + 4.56702i 0.230248 + 0.199511i
\(525\) −0.598064 3.93711i −0.0261017 0.171830i
\(526\) 5.67917 + 2.59359i 0.247624 + 0.113086i
\(527\) 4.96026 + 6.30748i 0.216072 + 0.274758i
\(528\) 3.32359 5.75663i 0.144641 0.250525i
\(529\) −18.4131 + 13.7825i −0.800572 + 0.599237i
\(530\) −0.143321 + 0.0827466i −0.00622548 + 0.00359428i
\(531\) 6.69459 0.962537i 0.290521 0.0417706i
\(532\) 9.65295 + 18.3641i 0.418509 + 0.796184i
\(533\) −45.5367 + 13.3708i −1.97241 + 0.579153i
\(534\) −1.30879 + 6.79065i −0.0566369 + 0.293860i
\(535\) 17.1143 + 17.9490i 0.739916 + 0.776001i
\(536\) −20.3196 + 0.967942i −0.877674 + 0.0418087i
\(537\) −11.7599 8.37422i −0.507479 0.361374i
\(538\) 0.951860 0.824792i 0.0410376 0.0355593i
\(539\) −25.9645 + 23.2315i −1.11837 + 1.00065i
\(540\) −2.80718 0.403611i −0.120802 0.0173686i
\(541\) 11.9905 4.80026i 0.515511 0.206379i −0.0992949 0.995058i \(-0.531659\pi\)
0.614806 + 0.788679i \(0.289234\pi\)
\(542\) −9.89896 19.2013i −0.425197 0.824766i
\(543\) −0.245157 1.27199i −0.0105207 0.0545865i
\(544\) −6.97802 + 9.79926i −0.299180 + 0.420140i
\(545\) 12.7397 + 19.8233i 0.545708 + 0.849138i
\(546\) −9.63784 + 6.97924i −0.412462 + 0.298684i
\(547\) 7.94348 9.16726i 0.339638 0.391964i −0.560077 0.828441i \(-0.689228\pi\)
0.899715 + 0.436477i \(0.143774\pi\)
\(548\) −6.56597 + 6.88619i −0.280484 + 0.294163i
\(549\) −1.87339 2.63081i −0.0799544 0.112280i
\(550\) 1.93495 4.83326i 0.0825064 0.206091i
\(551\) −22.1828 38.4217i −0.945018 1.63682i
\(552\) −2.35547 + 11.4827i −0.100255 + 0.488736i
\(553\) −0.994541 + 7.33054i −0.0422922 + 0.311726i
\(554\) 0.357574 + 2.48698i 0.0151918 + 0.105662i
\(555\) −19.2001 + 1.83338i −0.814998 + 0.0778229i
\(556\) 20.1140 + 4.87960i 0.853024 + 0.206941i
\(557\) −8.34373 + 2.88779i −0.353535 + 0.122360i −0.498063 0.867141i \(-0.665955\pi\)
0.144527 + 0.989501i \(0.453834\pi\)
\(558\) 2.62020 0.635654i 0.110922 0.0269094i
\(559\) 53.6418 34.4735i 2.26881 1.45807i
\(560\) −4.52026 + 4.81683i −0.191016 + 0.203548i
\(561\) −6.74121 7.77977i −0.284614 0.328462i
\(562\) 17.4629 + 0.831859i 0.736626 + 0.0350898i
\(563\) −0.274618 0.215962i −0.0115738 0.00910171i 0.612355 0.790583i \(-0.290222\pi\)
−0.623929 + 0.781481i \(0.714465\pi\)
\(564\) 5.23063 + 4.11341i 0.220249 + 0.173206i
\(565\) −11.5417 0.549799i −0.485563 0.0231302i
\(566\) −11.6560 13.4518i −0.489939 0.565419i
\(567\) −1.81049 + 1.92928i −0.0760336 + 0.0810221i
\(568\) 12.6873 8.15361i 0.532346 0.342118i
\(569\) 29.2202 7.08874i 1.22497 0.297175i 0.429446 0.903092i \(-0.358709\pi\)
0.795528 + 0.605917i \(0.207194\pi\)
\(570\) 6.34594 2.19635i 0.265802 0.0919950i
\(571\) −3.86850 0.938488i −0.161892 0.0392745i 0.153994 0.988072i \(-0.450786\pi\)
−0.315886 + 0.948797i \(0.602302\pi\)
\(572\) 48.6452 4.64506i 2.03396 0.194220i
\(573\) −0.532636 3.70457i −0.0222512 0.154760i
\(574\) 1.81268 13.3608i 0.0756597 0.557671i
\(575\) 0.429429 7.20571i 0.0179084 0.300499i
\(576\) 0.685539 + 1.18739i 0.0285641 + 0.0494745i
\(577\) 4.17647 10.4323i 0.173869 0.434303i −0.815680 0.578504i \(-0.803637\pi\)
0.989548 + 0.144201i \(0.0460611\pi\)
\(578\) −5.12849 7.20196i −0.213317 0.299562i
\(579\) −3.70725 + 3.88805i −0.154068 + 0.161582i
\(580\) 15.9408 18.3967i 0.661906 0.763880i
\(581\) −6.35418 + 4.60138i −0.263616 + 0.190897i
\(582\) 1.25175 + 1.94776i 0.0518867 + 0.0807373i
\(583\) 0.367765 0.516454i 0.0152313 0.0213893i
\(584\) −0.0747137 0.387652i −0.00309168 0.0160411i
\(585\) −5.54397 10.7538i −0.229215 0.444615i
\(586\) −4.86497 + 1.94764i −0.200970 + 0.0804562i
\(587\) 27.4170 + 3.94197i 1.13162 + 0.162702i 0.682581 0.730810i \(-0.260857\pi\)
0.449039 + 0.893512i \(0.351767\pi\)
\(588\) 2.17530 + 10.3941i 0.0897079 + 0.428647i
\(589\) 15.1557 13.1325i 0.624480 0.541115i
\(590\) −7.15756 5.09688i −0.294672 0.209835i
\(591\) −18.4190 + 0.877405i −0.757656 + 0.0360916i
\(592\) −9.50849 9.97222i −0.390797 0.409856i
\(593\) −5.27186 + 27.3530i −0.216489 + 1.12325i 0.697211 + 0.716866i \(0.254424\pi\)
−0.913701 + 0.406388i \(0.866788\pi\)
\(594\) −3.31879 + 0.974484i −0.136172 + 0.0399836i
\(595\) 4.75971 + 9.05503i 0.195129 + 0.371220i
\(596\) −5.36587 + 0.771495i −0.219795 + 0.0316017i
\(597\) −7.08197 + 4.08878i −0.289846 + 0.167343i
\(598\) −19.7259 + 8.72574i −0.806652 + 0.356822i
\(599\) 15.6454 27.0986i 0.639253 1.10722i −0.346344 0.938108i \(-0.612577\pi\)
0.985597 0.169111i \(-0.0540897\pi\)
\(600\) −2.27412 2.89178i −0.0928406 0.118056i
\(601\) 15.1700 + 6.92793i 0.618799 + 0.282596i 0.700046 0.714098i \(-0.253163\pi\)
−0.0812466 + 0.996694i \(0.525890\pi\)
\(602\) 2.72062 + 17.9101i 0.110884 + 0.729960i
\(603\) −6.29006 5.45037i −0.256151 0.221956i
\(604\) 3.19342 + 13.1635i 0.129939 + 0.535614i
\(605\) −1.22510 25.7179i −0.0498073 1.04558i
\(606\) −0.992948 0.0948151i −0.0403358 0.00385160i
\(607\) 14.2896 + 4.94569i 0.579999 + 0.200740i 0.601286 0.799034i \(-0.294655\pi\)
−0.0212873 + 0.999773i \(0.506776\pi\)
\(608\) 25.2920 + 16.2542i 1.02572 + 0.659193i
\(609\) −5.52917 22.0256i −0.224053 0.892521i
\(610\) −0.597137 + 4.15318i −0.0241774 + 0.168157i
\(611\) −1.35074 + 28.3555i −0.0546450 + 1.14714i
\(612\) −3.08094 + 0.593802i −0.124539 + 0.0240030i
\(613\) 1.06481 11.1512i 0.0430073 0.450393i −0.948162 0.317788i \(-0.897060\pi\)
0.991169 0.132605i \(-0.0423341\pi\)
\(614\) −3.68544 + 7.14876i −0.148732 + 0.288501i
\(615\) 13.1537 + 3.86228i 0.530409 + 0.155742i
\(616\) −10.2848 + 30.4984i −0.414385 + 1.22882i
\(617\) −3.57587 12.1783i −0.143959 0.490279i 0.855670 0.517522i \(-0.173145\pi\)
−0.999629 + 0.0272428i \(0.991327\pi\)
\(618\) −0.338587 3.54585i −0.0136200 0.142635i
\(619\) 10.0848 + 4.03734i 0.405342 + 0.162275i 0.565369 0.824838i \(-0.308734\pi\)
−0.160027 + 0.987113i \(0.551158\pi\)
\(620\) 9.52892 + 5.50153i 0.382691 + 0.220947i
\(621\) −3.93947 + 2.73507i −0.158085 + 0.109755i
\(622\) 1.91959i 0.0769685i
\(623\) 0.209367 + 26.3278i 0.00838811 + 1.05480i
\(624\) 3.59055 7.86222i 0.143737 0.314741i
\(625\) −11.0071 10.4952i −0.440282 0.419808i
\(626\) −5.77856 16.6960i −0.230958 0.667308i
\(627\) −18.6192 + 17.7534i −0.743581 + 0.709003i
\(628\) −16.6836 8.60098i −0.665747 0.343217i
\(629\) −19.4102 + 8.86433i −0.773935 + 0.353444i
\(630\) 3.43198 0.190850i 0.136733 0.00760364i
\(631\) −2.31544 + 3.60290i −0.0921763 + 0.143429i −0.884279 0.466958i \(-0.845350\pi\)
0.792103 + 0.610387i \(0.208986\pi\)
\(632\) 2.53996 + 6.34451i 0.101034 + 0.252371i
\(633\) 14.3945 18.3041i 0.572131 0.727524i
\(634\) 16.9051 8.71517i 0.671386 0.346124i
\(635\) −6.15801 + 17.7924i −0.244373 + 0.706070i
\(636\) −0.0802778 0.175784i −0.00318322 0.00697028i
\(637\) −30.7371 + 33.2802i −1.21785 + 1.31861i
\(638\) 8.36418 28.4858i 0.331141 1.12776i
\(639\) 6.05886 + 1.16775i 0.239685 + 0.0461954i
\(640\) −4.70713 + 19.4031i −0.186066 + 0.766973i
\(641\) 1.34025 0.954385i 0.0529365 0.0376959i −0.553282 0.832994i \(-0.686625\pi\)
0.606219 + 0.795298i \(0.292686\pi\)
\(642\) 7.24688 5.69901i 0.286011 0.224922i
\(643\) −13.6404 −0.537923 −0.268961 0.963151i \(-0.586680\pi\)
−0.268961 + 0.963151i \(0.586680\pi\)
\(644\) −0.0764813 + 19.2490i −0.00301378 + 0.758518i
\(645\) −18.4189 −0.725243
\(646\) 5.83990 4.59255i 0.229768 0.180691i
\(647\) 21.7634 15.4976i 0.855608 0.609275i −0.0658174 0.997832i \(-0.520965\pi\)
0.921425 + 0.388556i \(0.127026\pi\)
\(648\) −0.576234 + 2.37527i −0.0226366 + 0.0933093i
\(649\) 33.0547 + 6.37077i 1.29751 + 0.250074i
\(650\) 1.90721 6.49537i 0.0748070 0.254769i
\(651\) 9.30297 4.33826i 0.364612 0.170030i
\(652\) −12.2776 26.8841i −0.480826 1.05286i
\(653\) −5.35153 + 15.4622i −0.209421 + 0.605084i −0.999973 0.00731154i \(-0.997673\pi\)
0.790552 + 0.612395i \(0.209794\pi\)
\(654\) 7.78591 4.01392i 0.304453 0.156957i
\(655\) 5.31250 6.75539i 0.207577 0.263955i
\(656\) 3.63994 + 9.09213i 0.142116 + 0.354988i
\(657\) 0.0873253 0.135881i 0.00340688 0.00530122i
\(658\) −7.19761 3.63847i −0.280592 0.141842i
\(659\) 38.2256 17.4571i 1.48906 0.680031i 0.505869 0.862610i \(-0.331172\pi\)
0.983191 + 0.182580i \(0.0584448\pi\)
\(660\) −12.5464 6.46813i −0.488368 0.251771i
\(661\) −20.3976 + 19.4491i −0.793374 + 0.756481i −0.973873 0.227095i \(-0.927077\pi\)
0.180499 + 0.983575i \(0.442229\pi\)
\(662\) −1.13136 3.26885i −0.0439716 0.127048i
\(663\) −9.68745 9.23696i −0.376229 0.358734i
\(664\) −3.01073 + 6.59258i −0.116839 + 0.255842i
\(665\) 22.0383 12.9586i 0.854610 0.502512i
\(666\) 7.16989i 0.277828i
\(667\) −1.46818 41.1373i −0.0568480 1.59284i
\(668\) −15.9531 9.21051i −0.617243 0.356365i
\(669\) 17.4998 + 7.00587i 0.676582 + 0.270862i
\(670\) 1.02783 + 10.7640i 0.0397087 + 0.415848i
\(671\) −4.52877 15.4236i −0.174831 0.595421i
\(672\) 10.1697 + 11.5496i 0.392306 + 0.445537i
\(673\) −1.22916 0.360913i −0.0473805 0.0139122i 0.257956 0.966157i \(-0.416951\pi\)
−0.305337 + 0.952244i \(0.598769\pi\)
\(674\) −10.1857 + 19.7576i −0.392340 + 0.761034i
\(675\) 0.143075 1.49834i 0.00550694 0.0576713i
\(676\) 43.0273 8.29284i 1.65490 0.318955i
\(677\) −1.64518 + 34.5367i −0.0632296 + 1.32735i 0.714891 + 0.699236i \(0.246476\pi\)
−0.778120 + 0.628115i \(0.783827\pi\)
\(678\) −0.611295 + 4.25165i −0.0234767 + 0.163284i
\(679\) 6.13335 + 6.33090i 0.235376 + 0.242957i
\(680\) 7.95014 + 5.10924i 0.304874 + 0.195931i
\(681\) 8.02403 + 2.77714i 0.307481 + 0.106420i
\(682\) 13.3588 + 1.27561i 0.511535 + 0.0488456i
\(683\) 1.13201 + 23.7639i 0.0433152 + 0.909299i 0.911056 + 0.412282i \(0.135268\pi\)
−0.867741 + 0.497017i \(0.834429\pi\)
\(684\) 1.84869 + 7.62042i 0.0706866 + 0.291374i
\(685\) 8.86120 + 7.67827i 0.338569 + 0.293372i
\(686\) −5.06719 11.8312i −0.193466 0.451716i
\(687\) 14.4662 + 6.60649i 0.551920 + 0.252053i
\(688\) −8.13397 10.3432i −0.310105 0.394330i
\(689\) 0.412203 0.713956i 0.0157037 0.0271996i
\(690\) 6.15617 + 0.960188i 0.234361 + 0.0365537i
\(691\) 33.4380 19.3054i 1.27204 0.734413i 0.296669 0.954980i \(-0.404124\pi\)
0.975372 + 0.220567i \(0.0707908\pi\)
\(692\) 28.8178 4.14337i 1.09549 0.157507i
\(693\) −11.6562 + 6.12702i −0.442783 + 0.232746i
\(694\) 16.9938 4.98984i 0.645077 0.189412i
\(695\) 4.82692 25.0444i 0.183095 0.949989i
\(696\) −14.4770 15.1830i −0.548748 0.575511i
\(697\) 15.1497 0.721670i 0.573836 0.0273352i
\(698\) 1.11756 + 0.795809i 0.0423002 + 0.0301218i
\(699\) −16.5635 + 14.3523i −0.626488 + 0.542855i
\(700\) −4.59703 3.91978i −0.173751 0.148154i
\(701\) −14.3150 2.05819i −0.540670 0.0777367i −0.133431 0.991058i \(-0.542599\pi\)
−0.407239 + 0.913321i \(0.633509\pi\)
\(702\) −4.17541 + 1.67158i −0.157591 + 0.0630898i
\(703\) 24.4365 + 47.4001i 0.921638 + 1.78773i
\(704\) 1.29148 + 6.70082i 0.0486744 + 0.252547i
\(705\) 4.75649 6.67956i 0.179140 0.251567i
\(706\) −6.94443 10.8057i −0.261357 0.406679i
\(707\) −3.77728 + 0.391022i −0.142059 + 0.0147059i
\(708\) 6.71917 7.75433i 0.252522 0.291426i
\(709\) −14.8751 + 15.6005i −0.558646 + 0.585891i −0.941119 0.338076i \(-0.890224\pi\)
0.382473 + 0.923967i \(0.375072\pi\)
\(710\) −4.64994 6.52993i −0.174509 0.245064i
\(711\) −1.03919 + 2.59578i −0.0389728 + 0.0973493i
\(712\) 12.1613 + 21.0640i 0.455764 + 0.789406i
\(713\) 18.1330 4.17070i 0.679087 0.156194i
\(714\) 3.51906 1.44139i 0.131697 0.0539427i
\(715\) −8.56991 59.6050i −0.320496 2.22910i
\(716\) −21.8023 + 2.08186i −0.814789 + 0.0778029i
\(717\) −25.0509 6.07728i −0.935542 0.226960i
\(718\) −5.51238 + 1.90785i −0.205720 + 0.0712004i
\(719\) 10.5819 2.56714i 0.394639 0.0957383i −0.0335288 0.999438i \(-0.510675\pi\)
0.428167 + 0.903699i \(0.359159\pi\)
\(720\) −2.10036 + 1.34982i −0.0782757 + 0.0503047i
\(721\) −3.92389 12.9808i −0.146133 0.483429i
\(722\) −3.51217 4.05327i −0.130710 0.150847i
\(723\) 19.3896 + 0.923640i 0.721107 + 0.0343505i
\(724\) −1.54474 1.21480i −0.0574099 0.0451477i
\(725\) 10.1551 + 7.98603i 0.377150 + 0.296594i
\(726\) −9.56037 0.455417i −0.354819 0.0169021i
\(727\) −10.6345 12.2728i −0.394411 0.455174i 0.523462 0.852049i \(-0.324640\pi\)
−0.917873 + 0.396875i \(0.870095\pi\)
\(728\) −9.54303 + 40.7485i −0.353688 + 1.51024i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −0.203929 + 0.0494727i −0.00754776 + 0.00183107i
\(731\) −19.2569 + 6.66486i −0.712241 + 0.246509i
\(732\) −4.76145 1.15512i −0.175988 0.0426943i
\(733\) 27.6754 2.64268i 1.02221 0.0976095i 0.429536 0.903050i \(-0.358677\pi\)
0.592677 + 0.805440i \(0.298071\pi\)
\(734\) 1.69326 + 11.7769i 0.0624994 + 0.434693i
\(735\) 12.6666 3.28704i 0.467214 0.121244i
\(736\) 13.6583 + 24.3221i 0.503451 + 0.896526i
\(737\) −20.7125 35.8751i −0.762955 1.32148i
\(738\) 1.89406 4.73114i 0.0697214 0.174156i
\(739\) 0.172252 + 0.241895i 0.00633641 + 0.00889824i 0.817732 0.575599i \(-0.195231\pi\)
−0.811396 + 0.584497i \(0.801292\pi\)
\(740\) −20.1917 + 21.1764i −0.742260 + 0.778460i
\(741\) −21.9065 + 25.2815i −0.804756 + 0.928738i
\(742\) 0.137371 + 0.189700i 0.00504305 + 0.00696410i
\(743\) 17.8351 + 27.7520i 0.654307 + 1.01812i 0.996903 + 0.0786392i \(0.0250575\pi\)
−0.342596 + 0.939483i \(0.611306\pi\)
\(744\) 5.50049 7.72436i 0.201658 0.283189i
\(745\) 1.26426 + 6.55961i 0.0463189 + 0.240325i
\(746\) −2.72221 5.28035i −0.0996672 0.193327i
\(747\) −2.75283 + 1.10207i −0.100721 + 0.0403225i
\(748\) −15.4577 2.22248i −0.565190 0.0812620i
\(749\) 22.7733 26.7080i 0.832120 0.975891i
\(750\) −6.38707 + 5.53443i −0.233223 + 0.202089i
\(751\) −14.6041 10.3995i −0.532910 0.379483i 0.281691 0.959505i \(-0.409105\pi\)
−0.814601 + 0.580022i \(0.803044\pi\)
\(752\) 5.85144 0.278739i 0.213380 0.0101646i
\(753\) 10.3084 + 10.8112i 0.375660 + 0.393981i
\(754\) 7.30578 37.9060i 0.266061 1.38045i
\(755\) 16.0157 4.70262i 0.582870 0.171146i
\(756\) −0.159094 + 4.01058i −0.00578618 + 0.145863i
\(757\) −6.85320 + 0.985341i −0.249084 + 0.0358128i −0.265726 0.964049i \(-0.585612\pi\)
0.0166420 + 0.999862i \(0.494702\pi\)
\(758\) 4.49626 2.59591i 0.163311 0.0942879i
\(759\) −22.9815 + 6.45131i −0.834176 + 0.234168i
\(760\) 11.8090 20.4537i 0.428356 0.741935i
\(761\) −31.0895 39.5335i −1.12699 1.43309i −0.886675 0.462394i \(-0.846991\pi\)
−0.240318 0.970694i \(-0.577252\pi\)
\(762\) 6.36659 + 2.90752i 0.230637 + 0.105329i
\(763\) 26.0494 20.8229i 0.943053 0.753839i
\(764\) −4.29099 3.71816i −0.155243 0.134518i
\(765\) 0.911560 + 3.75750i 0.0329575 + 0.135853i
\(766\) 0.822245 + 17.2610i 0.0297089 + 0.623667i
\(767\) 43.5736 + 4.16077i 1.57335 + 0.150237i
\(768\) 9.60523 + 3.32440i 0.346599 + 0.119959i
\(769\) 8.14173 + 5.23237i 0.293598 + 0.188684i 0.679145 0.734004i \(-0.262351\pi\)
−0.385547 + 0.922688i \(0.625987\pi\)
\(770\) 16.4529 + 4.68921i 0.592920 + 0.168987i
\(771\) 0.236524 1.64506i 0.00851821 0.0592455i
\(772\) −0.387788 + 8.14066i −0.0139568 + 0.292989i
\(773\) 17.7047