Properties

Label 62.2.g.a.19.1
Level 62
Weight 2
Character 62.19
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.g (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\Q(\zeta_{15})\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 19.1
Root \(-0.104528 + 0.994522i\)
Character \(\chi\) = 62.19
Dual form 62.2.g.a.49.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(1.47815 + 0.658114i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.204489 + 0.354185i) q^{5} +(-0.809017 - 1.40126i) q^{6} +(0.809017 - 0.898504i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-0.255585 - 0.283856i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(1.47815 + 0.658114i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-0.204489 + 0.354185i) q^{5} +(-0.809017 - 1.40126i) q^{6} +(0.809017 - 0.898504i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-0.255585 - 0.283856i) q^{9} +(0.373619 - 0.166346i) q^{10} +(-2.41355 - 0.513015i) q^{11} +(-0.169131 + 1.60917i) q^{12} +(0.199920 + 1.90211i) q^{13} +(-1.18264 + 0.251377i) q^{14} +(-0.535358 + 0.388960i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-7.88696 + 1.67642i) q^{17} +(0.0399263 + 0.379874i) q^{18} +(-0.0307895 + 0.292943i) q^{19} +(-0.400040 - 0.0850311i) q^{20} +(1.78716 - 0.795697i) q^{21} +(1.65106 + 1.83368i) q^{22} +(1.96698 - 6.05373i) q^{23} +(1.08268 - 1.20243i) q^{24} +(2.41637 + 4.18527i) q^{25} +(0.956295 - 1.65635i) q^{26} +(-1.69098 - 5.20431i) q^{27} +(1.10453 + 0.491768i) q^{28} +(7.56444 + 5.49589i) q^{29} +0.661739 q^{30} +(3.20731 - 4.55117i) q^{31} +1.00000 q^{32} +(-3.22995 - 2.34670i) q^{33} +(7.36606 + 3.27958i) q^{34} +(0.152802 + 0.470275i) q^{35} +(0.190983 - 0.330792i) q^{36} +(-2.71878 - 4.70907i) q^{37} +(0.197097 - 0.218898i) q^{38} +(-0.956295 + 2.94317i) q^{39} +(0.273659 + 0.303929i) q^{40} +(-1.97124 + 0.877654i) q^{41} +(-1.91355 - 0.406737i) q^{42} +(-0.558955 + 5.31810i) q^{43} +(-0.257920 - 2.45395i) q^{44} +(0.152802 - 0.0324790i) q^{45} +(-5.14961 + 3.74141i) q^{46} +(1.19837 - 0.870670i) q^{47} +(-1.58268 + 0.336408i) q^{48} +(0.578898 + 5.50784i) q^{49} +(0.505159 - 4.80626i) q^{50} +(-12.7614 - 2.71251i) q^{51} +(-1.74724 + 0.777921i) q^{52} +(1.93589 + 2.15002i) q^{53} +(-1.69098 + 5.20431i) q^{54} +(0.675244 - 0.749935i) q^{55} +(-0.604528 - 1.04707i) q^{56} +(-0.238301 + 0.412750i) q^{57} +(-2.88936 - 8.89253i) q^{58} +(8.67081 + 3.86049i) q^{59} +(-0.535358 - 0.388960i) q^{60} +1.44704 q^{61} +(-5.26988 + 1.79676i) q^{62} -0.461819 q^{63} +(-0.809017 - 0.587785i) q^{64} +(-0.714580 - 0.318152i) q^{65} +(1.23373 + 3.79704i) q^{66} +(4.02090 - 6.96440i) q^{67} +(-4.03158 - 6.98290i) q^{68} +(6.89153 - 7.65382i) q^{69} +(0.152802 - 0.470275i) q^{70} +(5.51206 + 6.12177i) q^{71} +(-0.348943 + 0.155360i) q^{72} +(-6.70528 - 1.42525i) q^{73} +(-0.568381 + 5.40778i) q^{74} +(0.817364 + 7.77670i) q^{75} +(-0.288120 + 0.0612417i) q^{76} +(-2.41355 + 1.75354i) q^{77} +(2.50361 - 1.81898i) q^{78} +(-5.91414 + 1.25709i) q^{79} +(-0.0427497 - 0.406737i) q^{80} +(0.805727 - 7.66598i) q^{81} +(2.11064 + 0.448631i) q^{82} +(-4.61797 + 2.05605i) q^{83} +(1.30902 + 1.45381i) q^{84} +(1.01903 - 3.13625i) q^{85} +(3.57811 - 3.97389i) q^{86} +(7.56444 + 13.1020i) q^{87} +(-1.23373 + 2.13689i) q^{88} +(-0.362449 - 1.11550i) q^{89} +(-0.142710 - 0.0635385i) q^{90} +(1.87080 + 1.35921i) q^{91} +6.36527 q^{92} +(7.73607 - 4.61653i) q^{93} -1.48127 q^{94} +(-0.0974597 - 0.0708086i) q^{95} +(1.47815 + 0.658114i) q^{96} +(-3.44482 - 10.6021i) q^{97} +(2.76909 - 4.79621i) q^{98} +(0.471244 + 0.816219i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} + O(q^{10}) \) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} - 4q^{10} - 13q^{11} + 3q^{12} + 2q^{14} - 6q^{15} - 2q^{16} - 2q^{17} + q^{18} - 3q^{19} - 4q^{20} + q^{21} + 17q^{22} + 3q^{23} - 2q^{24} + q^{25} - 10q^{26} - 18q^{27} + 7q^{28} + 11q^{29} + 14q^{30} + 11q^{31} + 8q^{32} - 2q^{33} + 18q^{34} + 16q^{35} + 6q^{36} + 6q^{37} + 12q^{38} + 10q^{39} - 4q^{40} - 19q^{41} - 9q^{42} - 26q^{43} + 7q^{44} + 16q^{45} - 17q^{46} + q^{47} - 2q^{48} - 23q^{49} - 19q^{50} - 16q^{51} + 17q^{53} - 18q^{54} + 7q^{55} - 3q^{56} + 6q^{57} - 19q^{58} + 8q^{59} - 6q^{60} + 48q^{61} - 19q^{62} - 14q^{63} - 2q^{64} - 30q^{65} + 3q^{66} + 12q^{67} - 17q^{68} - 7q^{69} + 16q^{70} + 9q^{71} + q^{72} - 33q^{73} - 19q^{74} + 18q^{75} - 18q^{76} - 13q^{77} - 10q^{78} - 19q^{79} + 11q^{80} - 16q^{81} + 21q^{82} + 40q^{83} + 6q^{84} + 29q^{85} + 19q^{86} + 11q^{87} - 3q^{88} + 8q^{89} + 11q^{90} + 20q^{91} + 28q^{92} + 44q^{93} + 26q^{94} + 36q^{95} + 3q^{96} - 23q^{97} + 17q^{98} + 7q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) 1.47815 + 0.658114i 0.853409 + 0.379962i 0.786346 0.617787i \(-0.211970\pi\)
0.0670631 + 0.997749i \(0.478637\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −0.204489 + 0.354185i −0.0914501 + 0.158396i −0.908121 0.418707i \(-0.862484\pi\)
0.816671 + 0.577103i \(0.195817\pi\)
\(6\) −0.809017 1.40126i −0.330280 0.572061i
\(7\) 0.809017 0.898504i 0.305780 0.339603i −0.570596 0.821231i \(-0.693288\pi\)
0.876376 + 0.481628i \(0.159954\pi\)
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) −0.255585 0.283856i −0.0851950 0.0946187i
\(10\) 0.373619 0.166346i 0.118149 0.0526032i
\(11\) −2.41355 0.513015i −0.727711 0.154680i −0.170864 0.985295i \(-0.554656\pi\)
−0.556847 + 0.830615i \(0.687989\pi\)
\(12\) −0.169131 + 1.60917i −0.0488238 + 0.464527i
\(13\) 0.199920 + 1.90211i 0.0554479 + 0.527551i 0.986628 + 0.162991i \(0.0521141\pi\)
−0.931180 + 0.364560i \(0.881219\pi\)
\(14\) −1.18264 + 0.251377i −0.316073 + 0.0671833i
\(15\) −0.535358 + 0.388960i −0.138229 + 0.100429i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −7.88696 + 1.67642i −1.91287 + 0.406593i −0.999999 0.00165751i \(-0.999472\pi\)
−0.912870 + 0.408250i \(0.866139\pi\)
\(18\) 0.0399263 + 0.379874i 0.00941072 + 0.0895371i
\(19\) −0.0307895 + 0.292943i −0.00706360 + 0.0672057i −0.997486 0.0708659i \(-0.977424\pi\)
0.990422 + 0.138072i \(0.0440904\pi\)
\(20\) −0.400040 0.0850311i −0.0894516 0.0190135i
\(21\) 1.78716 0.795697i 0.389991 0.173635i
\(22\) 1.65106 + 1.83368i 0.352006 + 0.390943i
\(23\) 1.96698 6.05373i 0.410143 1.26229i −0.506380 0.862310i \(-0.669017\pi\)
0.916524 0.399981i \(-0.130983\pi\)
\(24\) 1.08268 1.20243i 0.221000 0.245446i
\(25\) 2.41637 + 4.18527i 0.483274 + 0.837055i
\(26\) 0.956295 1.65635i 0.187545 0.324837i
\(27\) −1.69098 5.20431i −0.325430 1.00157i
\(28\) 1.10453 + 0.491768i 0.208736 + 0.0929354i
\(29\) 7.56444 + 5.49589i 1.40468 + 1.02056i 0.994069 + 0.108750i \(0.0346848\pi\)
0.410612 + 0.911810i \(0.365315\pi\)
\(30\) 0.661739 0.120816
\(31\) 3.20731 4.55117i 0.576050 0.817414i
\(32\) 1.00000 0.176777
\(33\) −3.22995 2.34670i −0.562263 0.408508i
\(34\) 7.36606 + 3.27958i 1.26327 + 0.562444i
\(35\) 0.152802 + 0.470275i 0.0258282 + 0.0794910i
\(36\) 0.190983 0.330792i 0.0318305 0.0551320i
\(37\) −2.71878 4.70907i −0.446965 0.774167i 0.551221 0.834359i \(-0.314162\pi\)
−0.998187 + 0.0601923i \(0.980829\pi\)
\(38\) 0.197097 0.218898i 0.0319733 0.0355100i
\(39\) −0.956295 + 2.94317i −0.153130 + 0.471285i
\(40\) 0.273659 + 0.303929i 0.0432693 + 0.0480554i
\(41\) −1.97124 + 0.877654i −0.307857 + 0.137067i −0.554850 0.831951i \(-0.687224\pi\)
0.246993 + 0.969017i \(0.420558\pi\)
\(42\) −1.91355 0.406737i −0.295266 0.0627608i
\(43\) −0.558955 + 5.31810i −0.0852399 + 0.811003i 0.865478 + 0.500947i \(0.167015\pi\)
−0.950718 + 0.310057i \(0.899652\pi\)
\(44\) −0.257920 2.45395i −0.0388830 0.369947i
\(45\) 0.152802 0.0324790i 0.0227783 0.00484168i
\(46\) −5.14961 + 3.74141i −0.759269 + 0.551641i
\(47\) 1.19837 0.870670i 0.174801 0.127000i −0.496945 0.867782i \(-0.665545\pi\)
0.671746 + 0.740782i \(0.265545\pi\)
\(48\) −1.58268 + 0.336408i −0.228440 + 0.0485563i
\(49\) 0.578898 + 5.50784i 0.0826997 + 0.786835i
\(50\) 0.505159 4.80626i 0.0714402 0.679708i
\(51\) −12.7614 2.71251i −1.78695 0.379828i
\(52\) −1.74724 + 0.777921i −0.242298 + 0.107878i
\(53\) 1.93589 + 2.15002i 0.265914 + 0.295328i 0.861284 0.508124i \(-0.169661\pi\)
−0.595369 + 0.803452i \(0.702994\pi\)
\(54\) −1.69098 + 5.20431i −0.230114 + 0.708217i
\(55\) 0.675244 0.749935i 0.0910499 0.101121i
\(56\) −0.604528 1.04707i −0.0807835 0.139921i
\(57\) −0.238301 + 0.412750i −0.0315638 + 0.0546700i
\(58\) −2.88936 8.89253i −0.379391 1.16765i
\(59\) 8.67081 + 3.86049i 1.12884 + 0.502594i 0.884241 0.467030i \(-0.154676\pi\)
0.244602 + 0.969624i \(0.421343\pi\)
\(60\) −0.535358 0.388960i −0.0691144 0.0502146i
\(61\) 1.44704 0.185274 0.0926369 0.995700i \(-0.470470\pi\)
0.0926369 + 0.995700i \(0.470470\pi\)
\(62\) −5.26988 + 1.79676i −0.669276 + 0.228189i
\(63\) −0.461819 −0.0581837
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −0.714580 0.318152i −0.0886328 0.0394619i
\(66\) 1.23373 + 3.79704i 0.151862 + 0.467383i
\(67\) 4.02090 6.96440i 0.491231 0.850837i −0.508718 0.860933i \(-0.669880\pi\)
0.999949 + 0.0100964i \(0.00321383\pi\)
\(68\) −4.03158 6.98290i −0.488901 0.846801i
\(69\) 6.89153 7.65382i 0.829642 0.921411i
\(70\) 0.152802 0.470275i 0.0182633 0.0562086i
\(71\) 5.51206 + 6.12177i 0.654161 + 0.726520i 0.975391 0.220481i \(-0.0707628\pi\)
−0.321230 + 0.947001i \(0.604096\pi\)
\(72\) −0.348943 + 0.155360i −0.0411234 + 0.0183093i
\(73\) −6.70528 1.42525i −0.784793 0.166813i −0.201948 0.979396i \(-0.564727\pi\)
−0.582845 + 0.812583i \(0.698061\pi\)
\(74\) −0.568381 + 5.40778i −0.0660729 + 0.628642i
\(75\) 0.817364 + 7.77670i 0.0943810 + 0.897976i
\(76\) −0.288120 + 0.0612417i −0.0330496 + 0.00702491i
\(77\) −2.41355 + 1.75354i −0.275049 + 0.199835i
\(78\) 2.50361 1.81898i 0.283478 0.205959i
\(79\) −5.91414 + 1.25709i −0.665392 + 0.141433i −0.528212 0.849113i \(-0.677137\pi\)
−0.137180 + 0.990546i \(0.543804\pi\)
\(80\) −0.0427497 0.406737i −0.00477957 0.0454745i
\(81\) 0.805727 7.66598i 0.0895252 0.851775i
\(82\) 2.11064 + 0.448631i 0.233081 + 0.0495430i
\(83\) −4.61797 + 2.05605i −0.506888 + 0.225681i −0.644215 0.764845i \(-0.722816\pi\)
0.137327 + 0.990526i \(0.456149\pi\)
\(84\) 1.30902 + 1.45381i 0.142825 + 0.158624i
\(85\) 1.01903 3.13625i 0.110529 0.340174i
\(86\) 3.57811 3.97389i 0.385837 0.428516i
\(87\) 7.56444 + 13.1020i 0.810993 + 1.40468i
\(88\) −1.23373 + 2.13689i −0.131516 + 0.227793i
\(89\) −0.362449 1.11550i −0.0384195 0.118243i 0.930007 0.367541i \(-0.119800\pi\)
−0.968427 + 0.249298i \(0.919800\pi\)
\(90\) −0.142710 0.0635385i −0.0150429 0.00669755i
\(91\) 1.87080 + 1.35921i 0.196113 + 0.142484i
\(92\) 6.36527 0.663626
\(93\) 7.73607 4.61653i 0.802193 0.478711i
\(94\) −1.48127 −0.152782
\(95\) −0.0974597 0.0708086i −0.00999915 0.00726481i
\(96\) 1.47815 + 0.658114i 0.150863 + 0.0671684i
\(97\) −3.44482 10.6021i −0.349769 1.07648i −0.958981 0.283470i \(-0.908514\pi\)
0.609212 0.793007i \(-0.291486\pi\)
\(98\) 2.76909 4.79621i 0.279720 0.484490i
\(99\) 0.471244 + 0.816219i 0.0473618 + 0.0820330i
\(100\) −3.23373 + 3.59142i −0.323373 + 0.359142i
\(101\) −1.74064 + 5.35713i −0.173200 + 0.533054i −0.999547 0.0301073i \(-0.990415\pi\)
0.826347 + 0.563161i \(0.190415\pi\)
\(102\) 8.72979 + 9.69541i 0.864378 + 0.959989i
\(103\) −14.7252 + 6.55609i −1.45092 + 0.645991i −0.972661 0.232229i \(-0.925398\pi\)
−0.478258 + 0.878219i \(0.658732\pi\)
\(104\) 1.87080 + 0.397650i 0.183447 + 0.0389928i
\(105\) −0.0836311 + 0.795697i −0.00816156 + 0.0776521i
\(106\) −0.302415 2.87729i −0.0293732 0.279467i
\(107\) 11.7747 2.50278i 1.13830 0.241953i 0.400059 0.916489i \(-0.368990\pi\)
0.738242 + 0.674536i \(0.235656\pi\)
\(108\) 4.42705 3.21644i 0.425993 0.309502i
\(109\) 15.4704 11.2399i 1.48180 1.07659i 0.504826 0.863221i \(-0.331557\pi\)
0.976972 0.213368i \(-0.0684434\pi\)
\(110\) −0.987085 + 0.209811i −0.0941148 + 0.0200047i
\(111\) −0.919659 8.74997i −0.0872902 0.830511i
\(112\) −0.126381 + 1.20243i −0.0119419 + 0.113619i
\(113\) −11.1384 2.36755i −1.04782 0.222720i −0.348334 0.937370i \(-0.613253\pi\)
−0.699482 + 0.714650i \(0.746586\pi\)
\(114\) 0.435398 0.193852i 0.0407787 0.0181559i
\(115\) 1.74191 + 1.93459i 0.162434 + 0.180402i
\(116\) −2.88936 + 8.89253i −0.268270 + 0.825651i
\(117\) 0.488830 0.542900i 0.0451923 0.0501912i
\(118\) −4.74569 8.21978i −0.436876 0.756692i
\(119\) −4.87441 + 8.44272i −0.446836 + 0.773943i
\(120\) 0.204489 + 0.629351i 0.0186672 + 0.0574516i
\(121\) −4.48698 1.99773i −0.407908 0.181612i
\(122\) −1.17068 0.850546i −0.105988 0.0770048i
\(123\) −3.49139 −0.314808
\(124\) 5.31953 + 1.64395i 0.477708 + 0.147631i
\(125\) −4.02136 −0.359682
\(126\) 0.373619 + 0.271450i 0.0332846 + 0.0241827i
\(127\) −15.5012 6.90159i −1.37551 0.612417i −0.420041 0.907505i \(-0.637984\pi\)
−0.955470 + 0.295089i \(0.904651\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) −4.32614 + 7.49309i −0.380895 + 0.659730i
\(130\) 0.391103 + 0.677410i 0.0343020 + 0.0594128i
\(131\) 10.0287 11.1380i 0.876211 0.973131i −0.123605 0.992332i \(-0.539445\pi\)
0.999816 + 0.0192007i \(0.00611214\pi\)
\(132\) 1.23373 3.79704i 0.107383 0.330490i
\(133\) 0.238301 + 0.264660i 0.0206633 + 0.0229490i
\(134\) −7.34655 + 3.27089i −0.634645 + 0.282562i
\(135\) 2.18907 + 0.465302i 0.188405 + 0.0400468i
\(136\) −0.842830 + 8.01899i −0.0722720 + 0.687623i
\(137\) 1.01982 + 9.70293i 0.0871290 + 0.828977i 0.947596 + 0.319471i \(0.103505\pi\)
−0.860467 + 0.509506i \(0.829828\pi\)
\(138\) −10.0742 + 2.14133i −0.857570 + 0.182282i
\(139\) −15.8370 + 11.5062i −1.34327 + 0.975946i −0.343958 + 0.938985i \(0.611768\pi\)
−0.999317 + 0.0369612i \(0.988232\pi\)
\(140\) −0.400040 + 0.290646i −0.0338095 + 0.0245641i
\(141\) 2.34437 0.498312i 0.197432 0.0419655i
\(142\) −0.861069 8.19252i −0.0722593 0.687501i
\(143\) 0.493296 4.69340i 0.0412515 0.392482i
\(144\) 0.373619 + 0.0794152i 0.0311349 + 0.00661793i
\(145\) −3.49340 + 1.55536i −0.290111 + 0.129166i
\(146\) 4.58694 + 5.09432i 0.379618 + 0.421609i
\(147\) −2.76909 + 8.52238i −0.228391 + 0.702914i
\(148\) 3.63844 4.04090i 0.299078 0.332160i
\(149\) −7.92640 13.7289i −0.649356 1.12472i −0.983277 0.182116i \(-0.941705\pi\)
0.333921 0.942601i \(-0.391628\pi\)
\(150\) 3.90977 6.77192i 0.319231 0.552925i
\(151\) 2.35634 + 7.25205i 0.191756 + 0.590164i 0.999999 + 0.00131509i \(0.000418608\pi\)
−0.808243 + 0.588849i \(0.799581\pi\)
\(152\) 0.269091 + 0.119807i 0.0218261 + 0.00971762i
\(153\) 2.49165 + 1.81029i 0.201438 + 0.146353i
\(154\) 2.98331 0.240402
\(155\) 0.956096 + 2.06664i 0.0767954 + 0.165997i
\(156\) −3.09464 −0.247769
\(157\) 5.64051 + 4.09807i 0.450162 + 0.327062i 0.789660 0.613545i \(-0.210257\pi\)
−0.339498 + 0.940607i \(0.610257\pi\)
\(158\) 5.52353 + 2.45924i 0.439429 + 0.195646i
\(159\) 1.44657 + 4.45208i 0.114720 + 0.353073i
\(160\) −0.204489 + 0.354185i −0.0161662 + 0.0280007i
\(161\) −3.84799 6.66491i −0.303264 0.525269i
\(162\) −5.15780 + 5.72831i −0.405235 + 0.450059i
\(163\) 5.93414 18.2634i 0.464798 1.43050i −0.394439 0.918922i \(-0.629061\pi\)
0.859237 0.511578i \(-0.170939\pi\)
\(164\) −1.44385 1.60355i −0.112745 0.125217i
\(165\) 1.49165 0.664127i 0.116125 0.0517022i
\(166\) 4.94453 + 1.05099i 0.383770 + 0.0815729i
\(167\) 1.30810 12.4458i 0.101224 0.963083i −0.819556 0.573000i \(-0.805780\pi\)
0.920780 0.390083i \(-0.127554\pi\)
\(168\) −0.204489 1.94558i −0.0157766 0.150105i
\(169\) 9.13785 1.94231i 0.702912 0.149409i
\(170\) −2.66785 + 1.93831i −0.204615 + 0.148661i
\(171\) 0.0910229 0.0661320i 0.00696070 0.00505724i
\(172\) −5.23054 + 1.11179i −0.398825 + 0.0847729i
\(173\) 2.16712 + 20.6188i 0.164763 + 1.56761i 0.694525 + 0.719469i \(0.255615\pi\)
−0.529762 + 0.848146i \(0.677719\pi\)
\(174\) 1.58140 15.0460i 0.119885 1.14063i
\(175\) 5.71537 + 1.21484i 0.432041 + 0.0918332i
\(176\) 2.25414 1.00361i 0.169912 0.0756498i
\(177\) 10.2761 + 11.4128i 0.772399 + 0.857836i
\(178\) −0.362449 + 1.11550i −0.0271667 + 0.0836105i
\(179\) −1.14728 + 1.27418i −0.0857516 + 0.0952368i −0.784493 0.620137i \(-0.787077\pi\)
0.698742 + 0.715374i \(0.253744\pi\)
\(180\) 0.0781077 + 0.135286i 0.00582180 + 0.0100837i
\(181\) −2.68487 + 4.65033i −0.199565 + 0.345656i −0.948387 0.317114i \(-0.897286\pi\)
0.748823 + 0.662770i \(0.230619\pi\)
\(182\) −0.714580 2.19925i −0.0529682 0.163019i
\(183\) 2.13893 + 0.952314i 0.158114 + 0.0703970i
\(184\) −5.14961 3.74141i −0.379635 0.275821i
\(185\) 2.22384 0.163500
\(186\) −8.97214 0.812299i −0.657869 0.0595607i
\(187\) 19.8956 1.45491
\(188\) 1.19837 + 0.870670i 0.0874005 + 0.0635002i
\(189\) −6.04413 2.69102i −0.439646 0.195743i
\(190\) 0.0372263 + 0.114571i 0.00270068 + 0.00831184i
\(191\) 2.33672 4.04731i 0.169079 0.292853i −0.769017 0.639228i \(-0.779254\pi\)
0.938096 + 0.346375i \(0.112587\pi\)
\(192\) −0.809017 1.40126i −0.0583858 0.101127i
\(193\) 2.51416 2.79226i 0.180973 0.200991i −0.645832 0.763480i \(-0.723489\pi\)
0.826805 + 0.562489i \(0.190156\pi\)
\(194\) −3.44482 + 10.6021i −0.247324 + 0.761185i
\(195\) −0.846875 0.940550i −0.0606460 0.0673542i
\(196\) −5.05938 + 2.25258i −0.361384 + 0.160899i
\(197\) 10.8239 + 2.30069i 0.771171 + 0.163917i 0.576662 0.816983i \(-0.304355\pi\)
0.194510 + 0.980901i \(0.437688\pi\)
\(198\) 0.0985168 0.937325i 0.00700129 0.0666128i
\(199\) 0.399942 + 3.80520i 0.0283512 + 0.269743i 0.999510 + 0.0313088i \(0.00996754\pi\)
−0.971159 + 0.238434i \(0.923366\pi\)
\(200\) 4.72713 1.00478i 0.334259 0.0710489i
\(201\) 10.5268 7.64820i 0.742506 0.539463i
\(202\) 4.55705 3.31089i 0.320633 0.232953i
\(203\) 11.0578 2.35042i 0.776108 0.164967i
\(204\) −1.36373 12.9750i −0.0954800 0.908431i
\(205\) 0.0922452 0.877654i 0.00644268 0.0612980i
\(206\) 15.7665 + 3.35128i 1.09851 + 0.233495i
\(207\) −2.22112 + 0.988906i −0.154378 + 0.0687337i
\(208\) −1.27977 1.42133i −0.0887363 0.0985516i
\(209\) 0.224596 0.691235i 0.0155356 0.0478137i
\(210\) 0.535358 0.594575i 0.0369432 0.0410296i
\(211\) −4.59773 7.96350i −0.316521 0.548230i 0.663239 0.748408i \(-0.269181\pi\)
−0.979760 + 0.200178i \(0.935848\pi\)
\(212\) −1.44657 + 2.50553i −0.0993507 + 0.172080i
\(213\) 4.11882 + 12.6764i 0.282217 + 0.868575i
\(214\) −10.9970 4.89618i −0.751740 0.334696i
\(215\) −1.76929 1.28546i −0.120665 0.0876680i
\(216\) −5.47214 −0.372332
\(217\) −1.49448 6.56376i −0.101452 0.445577i
\(218\) −19.1225 −1.29514
\(219\) −8.97341 6.51957i −0.606367 0.440552i
\(220\) 0.921892 + 0.410453i 0.0621540 + 0.0276727i
\(221\) −4.76551 14.6667i −0.320563 0.986592i
\(222\) −4.39908 + 7.61944i −0.295247 + 0.511383i
\(223\) 9.51929 + 16.4879i 0.637459 + 1.10411i 0.985989 + 0.166813i \(0.0533477\pi\)
−0.348530 + 0.937298i \(0.613319\pi\)
\(224\) 0.809017 0.898504i 0.0540547 0.0600339i
\(225\) 0.570427 1.75559i 0.0380285 0.117040i
\(226\) 7.61958 + 8.46240i 0.506847 + 0.562910i
\(227\) −11.5679 + 5.15034i −0.767785 + 0.341840i −0.752974 0.658050i \(-0.771381\pi\)
−0.0148112 + 0.999890i \(0.504715\pi\)
\(228\) −0.466187 0.0990912i −0.0308740 0.00656247i
\(229\) −0.855359 + 8.13819i −0.0565237 + 0.537787i 0.929219 + 0.369529i \(0.120481\pi\)
−0.985743 + 0.168258i \(0.946186\pi\)
\(230\) −0.272114 2.58899i −0.0179426 0.170713i
\(231\) −4.72161 + 1.00361i −0.310659 + 0.0660326i
\(232\) 7.56444 5.49589i 0.496630 0.360823i
\(233\) −16.2543 + 11.8094i −1.06485 + 0.773662i −0.974980 0.222291i \(-0.928647\pi\)
−0.0898742 + 0.995953i \(0.528647\pi\)
\(234\) −0.714580 + 0.151889i −0.0467136 + 0.00992928i
\(235\) 0.0633240 + 0.602488i 0.00413080 + 0.0393020i
\(236\) −0.992120 + 9.43939i −0.0645815 + 0.614452i
\(237\) −9.56927 2.03401i −0.621591 0.132123i
\(238\) 8.90599 3.96520i 0.577289 0.257026i
\(239\) −15.1603 16.8372i −0.980639 1.08911i −0.996011 0.0892285i \(-0.971560\pi\)
0.0153718 0.999882i \(-0.495107\pi\)
\(240\) 0.204489 0.629351i 0.0131997 0.0406244i
\(241\) −19.6300 + 21.8014i −1.26448 + 1.40435i −0.388899 + 0.921280i \(0.627145\pi\)
−0.875582 + 0.483069i \(0.839522\pi\)
\(242\) 2.45581 + 4.25358i 0.157865 + 0.273431i
\(243\) −1.97214 + 3.41584i −0.126513 + 0.219126i
\(244\) 0.447158 + 1.37621i 0.0286264 + 0.0881030i
\(245\) −2.06917 0.921254i −0.132194 0.0588568i
\(246\) 2.82459 + 2.05219i 0.180089 + 0.130843i
\(247\) −0.563366 −0.0358461
\(248\) −3.33731 4.45672i −0.211919 0.283002i
\(249\) −8.17916 −0.518333
\(250\) 3.25335 + 2.36370i 0.205760 + 0.149493i
\(251\) −3.09703 1.37889i −0.195483 0.0870347i 0.306660 0.951819i \(-0.400788\pi\)
−0.502143 + 0.864784i \(0.667455\pi\)
\(252\) −0.142710 0.439216i −0.00898987 0.0276680i
\(253\) −7.85304 + 13.6019i −0.493717 + 0.855142i
\(254\) 8.48410 + 14.6949i 0.532340 + 0.922039i
\(255\) 3.57028 3.96520i 0.223580 0.248311i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) −11.0458 12.2676i −0.689018 0.765232i 0.292570 0.956244i \(-0.405490\pi\)
−0.981588 + 0.191012i \(0.938823\pi\)
\(258\) 7.90424 3.51920i 0.492097 0.219096i
\(259\) −6.43066 1.36688i −0.399582 0.0849338i
\(260\) 0.0817627 0.777921i 0.00507071 0.0482446i
\(261\) −0.373317 3.55188i −0.0231078 0.219856i
\(262\) −14.6601 + 3.11611i −0.905706 + 0.192514i
\(263\) 14.4809 10.5210i 0.892931 0.648752i −0.0437095 0.999044i \(-0.513918\pi\)
0.936641 + 0.350292i \(0.113918\pi\)
\(264\) −3.22995 + 2.34670i −0.198790 + 0.144429i
\(265\) −1.15737 + 0.246007i −0.0710967 + 0.0151121i
\(266\) −0.0372263 0.354185i −0.00228249 0.0217164i
\(267\) 0.198375 1.88741i 0.0121403 0.115508i
\(268\) 7.86606 + 1.67198i 0.480496 + 0.102133i
\(269\) 11.4771 5.10995i 0.699773 0.311559i −0.0258361 0.999666i \(-0.508225\pi\)
0.725609 + 0.688107i \(0.241558\pi\)
\(270\) −1.49750 1.66314i −0.0911349 0.101216i
\(271\) 3.36944 10.3701i 0.204679 0.629936i −0.795048 0.606547i \(-0.792554\pi\)
0.999726 0.0233894i \(-0.00744576\pi\)
\(272\) 5.39531 5.99209i 0.327139 0.363324i
\(273\) 1.87080 + 3.24031i 0.113226 + 0.196113i
\(274\) 4.87819 8.44927i 0.294702 0.510439i
\(275\) −3.68491 11.3410i −0.222208 0.683887i
\(276\) 9.40881 + 4.18907i 0.566344 + 0.252153i
\(277\) −10.8079 7.85240i −0.649384 0.471805i 0.213678 0.976904i \(-0.431456\pi\)
−0.863061 + 0.505099i \(0.831456\pi\)
\(278\) 19.5756 1.17407
\(279\) −2.11162 + 0.252797i −0.126419 + 0.0151345i
\(280\) 0.494477 0.0295506
\(281\) −3.47181 2.52242i −0.207111 0.150475i 0.479395 0.877599i \(-0.340856\pi\)
−0.686506 + 0.727125i \(0.740856\pi\)
\(282\) −2.18954 0.974846i −0.130385 0.0580512i
\(283\) 6.79798 + 20.9220i 0.404098 + 1.24369i 0.921646 + 0.388032i \(0.126845\pi\)
−0.517548 + 0.855654i \(0.673155\pi\)
\(284\) −4.11882 + 7.13401i −0.244407 + 0.423326i
\(285\) −0.0974597 0.168805i −0.00577301 0.00999915i
\(286\) −3.15780 + 3.50709i −0.186724 + 0.207378i
\(287\) −0.806194 + 2.48121i −0.0475881 + 0.146461i
\(288\) −0.255585 0.283856i −0.0150605 0.0167264i
\(289\) 43.8635 19.5293i 2.58020 1.14878i
\(290\) 3.74044 + 0.795054i 0.219646 + 0.0466872i
\(291\) 1.88541 17.9385i 0.110525 1.05157i
\(292\) −0.716551 6.81753i −0.0419330 0.398966i
\(293\) 12.4982 2.65657i 0.730152 0.155199i 0.172189 0.985064i \(-0.444916\pi\)
0.557964 + 0.829865i \(0.311583\pi\)
\(294\) 7.24957 5.26712i 0.422804 0.307185i
\(295\) −3.14041 + 2.28164i −0.182842 + 0.132842i
\(296\) −5.31874 + 1.13053i −0.309146 + 0.0657110i
\(297\) 1.41138 + 13.4283i 0.0818963 + 0.779191i
\(298\) −1.65707 + 15.7660i −0.0959914 + 0.913297i
\(299\) 11.9081 + 2.53115i 0.688665 + 0.146380i
\(300\) −7.14350 + 3.18049i −0.412430 + 0.183626i
\(301\) 4.32614 + 4.80466i 0.249354 + 0.276936i
\(302\) 2.35634 7.25205i 0.135592 0.417309i
\(303\) −6.09852 + 6.77309i −0.350351 + 0.389104i
\(304\) −0.147278 0.255093i −0.00844698 0.0146306i
\(305\) −0.295902 + 0.512517i −0.0169433 + 0.0293467i
\(306\) −0.951727 2.92911i −0.0544066 0.167446i
\(307\) 8.24023 + 3.66879i 0.470295 + 0.209389i 0.628179 0.778069i \(-0.283801\pi\)
−0.157884 + 0.987458i \(0.550467\pi\)
\(308\) −2.41355 1.75354i −0.137525 0.0999174i
\(309\) −26.0807 −1.48368
\(310\) 0.441244 2.23393i 0.0250610 0.126879i
\(311\) 8.73773 0.495471 0.247736 0.968828i \(-0.420314\pi\)
0.247736 + 0.968828i \(0.420314\pi\)
\(312\) 2.50361 + 1.81898i 0.141739 + 0.102980i
\(313\) 19.0583 + 8.48531i 1.07724 + 0.479618i 0.867141 0.498062i \(-0.165955\pi\)
0.210099 + 0.977680i \(0.432621\pi\)
\(314\) −2.15448 6.63082i −0.121585 0.374199i
\(315\) 0.0944366 0.163569i 0.00532090 0.00921607i
\(316\) −3.02313 5.23622i −0.170064 0.294560i
\(317\) −14.1293 + 15.6922i −0.793579 + 0.881359i −0.995176 0.0981096i \(-0.968720\pi\)
0.201596 + 0.979469i \(0.435387\pi\)
\(318\) 1.44657 4.45208i 0.0811195 0.249660i
\(319\) −15.4376 17.1452i −0.864342 0.959949i
\(320\) 0.373619 0.166346i 0.0208859 0.00929902i
\(321\) 19.0518 + 4.04959i 1.06337 + 0.226026i
\(322\) −0.804449 + 7.65382i −0.0448302 + 0.426531i
\(323\) −0.248261 2.36204i −0.0138136 0.131428i
\(324\) 7.53976 1.60263i 0.418876 0.0890348i
\(325\) −7.47778 + 5.43293i −0.414793 + 0.301365i
\(326\) −15.5358 + 11.2874i −0.860447 + 0.625152i
\(327\) 30.2647 6.43296i 1.67364 0.355744i
\(328\) 0.225551 + 2.14597i 0.0124540 + 0.118492i
\(329\) 0.187205 1.78113i 0.0103209 0.0981970i
\(330\) −1.59714 0.339482i −0.0879195 0.0186879i
\(331\) −25.1679 + 11.2055i −1.38336 + 0.615910i −0.957382 0.288826i \(-0.906735\pi\)
−0.425974 + 0.904735i \(0.640068\pi\)
\(332\) −3.38245 3.75660i −0.185636 0.206170i
\(333\) −0.641818 + 1.97531i −0.0351714 + 0.108246i
\(334\) −8.37372 + 9.29996i −0.458190 + 0.508871i
\(335\) 1.64445 + 2.84828i 0.0898462 + 0.155618i
\(336\) −0.978148 + 1.69420i −0.0533623 + 0.0924263i
\(337\) 1.20341 + 3.70372i 0.0655539 + 0.201754i 0.978468 0.206397i \(-0.0661737\pi\)
−0.912914 + 0.408151i \(0.866174\pi\)
\(338\) −8.53434 3.79973i −0.464207 0.206678i
\(339\) −14.9061 10.8299i −0.809591 0.588202i
\(340\) 3.29765 0.178840
\(341\) −10.0758 + 9.33906i −0.545636 + 0.505738i
\(342\) −0.112511 −0.00608387
\(343\) 12.2642 + 8.91046i 0.662204 + 0.481119i
\(344\) 4.88509 + 2.17498i 0.263386 + 0.117267i
\(345\) 1.30163 + 4.00599i 0.0700771 + 0.215675i
\(346\) 10.3662 17.9547i 0.557288 0.965252i
\(347\) 0.745960 + 1.29204i 0.0400452 + 0.0693604i 0.885353 0.464919i \(-0.153916\pi\)
−0.845308 + 0.534279i \(0.820583\pi\)
\(348\) −10.1232 + 11.2429i −0.542660 + 0.602685i
\(349\) −0.238831 + 0.735046i −0.0127843 + 0.0393461i −0.957245 0.289278i \(-0.906585\pi\)
0.944461 + 0.328624i \(0.106585\pi\)
\(350\) −3.90977 4.34224i −0.208986 0.232102i
\(351\) 9.56113 4.25689i 0.510335 0.227216i
\(352\) −2.41355 0.513015i −0.128642 0.0273438i
\(353\) 2.04570 19.4635i 0.108881 1.03594i −0.794548 0.607201i \(-0.792292\pi\)
0.903430 0.428737i \(-0.141041\pi\)
\(354\) −1.60528 15.2733i −0.0853199 0.811764i
\(355\) −3.29539 + 0.700456i −0.174901 + 0.0371764i
\(356\) 0.948903 0.689419i 0.0502918 0.0365391i
\(357\) −12.7614 + 9.27168i −0.675403 + 0.490709i
\(358\) 1.67711 0.356481i 0.0886382 0.0188406i
\(359\) −0.211188 2.00932i −0.0111461 0.106048i 0.987534 0.157404i \(-0.0503124\pi\)
−0.998680 + 0.0513559i \(0.983646\pi\)
\(360\) 0.0163289 0.155360i 0.000860611 0.00818817i
\(361\) 18.4999 + 3.93228i 0.973681 + 0.206962i
\(362\) 4.90550 2.18407i 0.257827 0.114792i
\(363\) −5.31769 5.90589i −0.279106 0.309979i
\(364\) −0.714580 + 2.19925i −0.0374542 + 0.115272i
\(365\) 1.87595 2.08346i 0.0981919 0.109053i
\(366\) −1.17068 2.02767i −0.0611922 0.105988i
\(367\) 13.7881 23.8817i 0.719732 1.24661i −0.241374 0.970432i \(-0.577598\pi\)
0.961106 0.276180i \(-0.0890686\pi\)
\(368\) 1.96698 + 6.05373i 0.102536 + 0.315573i
\(369\) 0.752948 + 0.335234i 0.0391969 + 0.0174516i
\(370\) −1.79912 1.30714i −0.0935320 0.0679550i
\(371\) 3.49797 0.181605
\(372\) 6.78115 + 5.93085i 0.351586 + 0.307500i
\(373\) 13.1128 0.678954 0.339477 0.940614i \(-0.389750\pi\)
0.339477 + 0.940614i \(0.389750\pi\)
\(374\) −16.0959 11.6943i −0.832297 0.604699i
\(375\) −5.94417 2.64651i −0.306956 0.136665i
\(376\) −0.457738 1.40877i −0.0236061 0.0726520i
\(377\) −8.94151 + 15.4872i −0.460511 + 0.797629i
\(378\) 3.30806 + 5.72973i 0.170148 + 0.294706i
\(379\) −10.7276 + 11.9142i −0.551039 + 0.611991i −0.952743 0.303779i \(-0.901752\pi\)
0.401704 + 0.915770i \(0.368418\pi\)
\(380\) 0.0372263 0.114571i 0.00190967 0.00587736i
\(381\) −18.3711 20.4031i −0.941178 1.04528i
\(382\) −4.26939 + 1.90086i −0.218441 + 0.0972563i
\(383\) −27.8637 5.92262i −1.42377 0.302632i −0.569299 0.822131i \(-0.692785\pi\)
−0.854471 + 0.519499i \(0.826119\pi\)
\(384\) −0.169131 + 1.60917i −0.00863091 + 0.0821176i
\(385\) −0.127536 1.21342i −0.00649981 0.0618416i
\(386\) −3.67524 + 0.781197i −0.187065 + 0.0397619i
\(387\) 1.65244 1.20057i 0.0839981 0.0610282i
\(388\) 9.01866 6.55244i 0.457853 0.332650i
\(389\) −5.15720 + 1.09620i −0.261481 + 0.0555794i −0.336786 0.941581i \(-0.609340\pi\)
0.0753058 + 0.997160i \(0.476007\pi\)
\(390\) 0.132295 + 1.25870i 0.00669901 + 0.0637369i
\(391\) −5.36484 + 51.0430i −0.271312 + 2.58136i
\(392\) 5.41716 + 1.15145i 0.273608 + 0.0581571i
\(393\) 22.1540 9.86358i 1.11752 0.497552i
\(394\) −7.40441 8.22343i −0.373029 0.414290i
\(395\) 0.764132 2.35176i 0.0384476 0.118330i
\(396\) −0.630648 + 0.700405i −0.0316912 + 0.0351967i
\(397\) −9.40378 16.2878i −0.471962 0.817462i 0.527523 0.849541i \(-0.323121\pi\)
−0.999485 + 0.0320783i \(0.989787\pi\)
\(398\) 1.91308 3.31355i 0.0958940 0.166093i
\(399\) 0.178068 + 0.548036i 0.00891454 + 0.0274361i
\(400\) −4.41493 1.96565i −0.220746 0.0982826i
\(401\) 18.8528 + 13.6974i 0.941465 + 0.684014i 0.948773 0.315959i \(-0.102326\pi\)
−0.00730807 + 0.999973i \(0.502326\pi\)
\(402\) −13.0119 −0.648974
\(403\) 9.29805 + 5.19080i 0.463169 + 0.258572i
\(404\) −5.63282 −0.280243
\(405\) 2.55041 + 1.85298i 0.126731 + 0.0920753i
\(406\) −10.3275 4.59811i −0.512546 0.228200i
\(407\) 4.14608 + 12.7603i 0.205514 + 0.632506i
\(408\) −6.52323 + 11.2986i −0.322948 + 0.559363i
\(409\) 4.26318 + 7.38405i 0.210801 + 0.365118i 0.951965 0.306206i \(-0.0990595\pi\)
−0.741165 + 0.671323i \(0.765726\pi\)
\(410\) −0.590500 + 0.655817i −0.0291627 + 0.0323885i
\(411\) −4.87819 + 15.0135i −0.240623 + 0.740562i
\(412\) −10.7856 11.9786i −0.531366 0.590142i
\(413\) 10.4835 4.66756i 0.515860 0.229675i
\(414\) 2.37819 + 0.505499i 0.116882 + 0.0248439i
\(415\) 0.216100 2.05605i 0.0106079 0.100928i
\(416\) 0.199920 + 1.90211i 0.00980189 + 0.0932588i
\(417\) −30.9818 + 6.58538i −1.51719 + 0.322488i
\(418\) −0.588000 + 0.427207i −0.0287600 + 0.0208954i
\(419\) −9.10559 + 6.61560i −0.444837 + 0.323193i −0.787554 0.616246i \(-0.788653\pi\)
0.342717 + 0.939439i \(0.388653\pi\)
\(420\) −0.782596 + 0.166346i −0.0381868 + 0.00811685i
\(421\) −1.65582 15.7541i −0.0807000 0.767809i −0.957787 0.287478i \(-0.907183\pi\)
0.877087 0.480331i \(-0.159483\pi\)
\(422\) −0.961187 + 9.14508i −0.0467898 + 0.445176i
\(423\) −0.553432 0.117636i −0.0269088 0.00571964i
\(424\) 2.64301 1.17674i 0.128356 0.0571478i
\(425\) −26.0741 28.9582i −1.26478 1.40468i
\(426\) 4.11882 12.6764i 0.199558 0.614175i
\(427\) 1.17068 1.30017i 0.0566530 0.0629195i
\(428\) 6.01886 + 10.4250i 0.290933 + 0.503910i
\(429\) 3.81795 6.61289i 0.184333 0.319273i
\(430\) 0.675809 + 2.07993i 0.0325904 + 0.100303i
\(431\) 15.0493 + 6.70038i 0.724900 + 0.322746i 0.735804 0.677194i \(-0.236804\pi\)
−0.0109044 + 0.999941i \(0.503471\pi\)
\(432\) 4.42705 + 3.21644i 0.212997 + 0.154751i
\(433\) 8.28838 0.398314 0.199157 0.979968i \(-0.436180\pi\)
0.199157 + 0.979968i \(0.436180\pi\)
\(434\) −2.64902 + 6.18862i −0.127157 + 0.297063i
\(435\) −6.18736 −0.296661
\(436\) 15.4704 + 11.2399i 0.740899 + 0.538295i
\(437\) 1.71284 + 0.762603i 0.0819360 + 0.0364803i
\(438\) 3.42754 + 10.5489i 0.163774 + 0.504045i
\(439\) 12.8822 22.3126i 0.614834 1.06492i −0.375580 0.926790i \(-0.622556\pi\)
0.990414 0.138134i \(-0.0441104\pi\)
\(440\) −0.504568 0.873938i −0.0240544 0.0416634i
\(441\) 1.41548 1.57205i 0.0674037 0.0748594i
\(442\) −4.76551 + 14.6667i −0.226672 + 0.697626i
\(443\) 13.3119 + 14.7844i 0.632469 + 0.702429i 0.971149 0.238473i \(-0.0766469\pi\)
−0.338680 + 0.940902i \(0.609980\pi\)
\(444\) 8.03753 3.57854i 0.381444 0.169830i
\(445\) 0.469210 + 0.0997338i 0.0222427 + 0.00472783i
\(446\) 1.99007 18.9343i 0.0942327 0.896564i
\(447\) −2.68119 25.5098i −0.126816 1.20657i
\(448\) −1.18264 + 0.251377i −0.0558743 + 0.0118765i
\(449\) 10.1143 7.34844i 0.477321 0.346794i −0.322966 0.946410i \(-0.604680\pi\)
0.800288 + 0.599616i \(0.204680\pi\)
\(450\) −1.49340 + 1.08502i −0.0703995 + 0.0511482i
\(451\) 5.20794 1.10698i 0.245232 0.0521257i
\(452\) −1.19030 11.3249i −0.0559868 0.532679i
\(453\) −1.28966 + 12.2703i −0.0605937 + 0.576511i
\(454\) 12.3859 + 2.63270i 0.581298 + 0.123559i
\(455\) −0.863968 + 0.384663i −0.0405035 + 0.0180333i
\(456\) 0.318909 + 0.354185i 0.0149343 + 0.0165862i
\(457\) 8.60327 26.4781i 0.402444 1.23860i −0.520567 0.853821i \(-0.674279\pi\)
0.923011 0.384774i \(-0.125721\pi\)
\(458\) 5.47551 6.08117i 0.255854 0.284154i
\(459\) 22.0614 + 38.2114i 1.02974 + 1.78355i
\(460\) −1.30163 + 2.25448i −0.0606886 + 0.105116i
\(461\) 10.9622 + 33.7383i 0.510563 + 1.57135i 0.791213 + 0.611540i \(0.209450\pi\)
−0.280651 + 0.959810i \(0.590550\pi\)
\(462\) 4.40977 + 1.96335i 0.205161 + 0.0913435i
\(463\) −16.4563 11.9562i −0.764789 0.555651i 0.135587 0.990765i \(-0.456708\pi\)
−0.900375 + 0.435114i \(0.856708\pi\)
\(464\) −9.35016 −0.434070
\(465\) 0.0531646 + 3.68402i 0.00246545 + 0.170842i
\(466\) 20.0914 0.930717
\(467\) 0.800045 + 0.581267i 0.0370217 + 0.0268978i 0.606142 0.795356i \(-0.292716\pi\)
−0.569121 + 0.822254i \(0.692716\pi\)
\(468\) 0.667386 + 0.297139i 0.0308499 + 0.0137353i
\(469\) −3.00457 9.24711i −0.138738 0.426992i
\(470\) 0.302903 0.524644i 0.0139719 0.0242000i
\(471\) 5.64051 + 9.76965i 0.259901 + 0.450162i
\(472\) 6.35098 7.05347i 0.292327 0.324662i
\(473\) 4.07733 12.5487i 0.187476 0.576991i
\(474\) 6.54614 + 7.27023i 0.300674 + 0.333933i
\(475\) −1.30044 + 0.578995i −0.0596685 + 0.0265661i
\(476\) −9.53578 2.02689i −0.437072 0.0929025i
\(477\) 0.115512 1.09903i 0.00528894 0.0503209i
\(478\) 2.36827 + 22.5326i 0.108322 + 1.03062i
\(479\) 2.37711 0.505270i 0.108613 0.0230864i −0.153285 0.988182i \(-0.548985\pi\)
0.261897 + 0.965096i \(0.415652\pi\)
\(480\) −0.535358 + 0.388960i −0.0244356 + 0.0177535i
\(481\) 8.41365 6.11287i 0.383629 0.278723i
\(482\) 28.6955 6.09943i 1.30705 0.277821i
\(483\) −1.30163 12.3841i −0.0592260 0.563498i
\(484\) 0.513403 4.88471i 0.0233365 0.222032i
\(485\) 4.45952 + 0.947900i 0.202496 + 0.0430419i
\(486\) 3.60327 1.60428i 0.163448 0.0727716i
\(487\) −1.03821 1.15305i −0.0470458 0.0522496i 0.719163 0.694842i \(-0.244526\pi\)
−0.766208 + 0.642592i \(0.777859\pi\)
\(488\) 0.447158 1.37621i 0.0202419 0.0622982i
\(489\) 20.7909 23.0907i 0.940199 1.04420i
\(490\) 1.13249 + 1.96154i 0.0511609 + 0.0886133i
\(491\) −4.00828 + 6.94255i −0.180891 + 0.313313i −0.942184 0.335095i \(-0.891232\pi\)
0.761293 + 0.648408i \(0.224565\pi\)
\(492\) −1.07890 3.32051i −0.0486405 0.149700i
\(493\) −68.8738 30.6646i −3.10192 1.38106i
\(494\) 0.455772 + 0.331138i 0.0205062 + 0.0148986i
\(495\) −0.385456 −0.0173250
\(496\) 0.0803408 + 5.56718i 0.00360741 + 0.249974i
\(497\) 9.95979 0.446757
\(498\) 6.61708 + 4.80759i 0.296518 + 0.215433i
\(499\) −23.8691 10.6272i −1.06853 0.475738i −0.204334 0.978901i \(-0.565503\pi\)
−0.864192 + 0.503163i \(0.832170\pi\)
\(500\) −1.24267 3.82454i −0.0555739 0.171039i
\(501\) 10.1243 17.5358i 0.452321 0.783442i
\(502\) 1.69506 + 2.93594i 0.0756544 + 0.131037i
\(503\) −23.0506 + 25.6002i −1.02777 + 1.14146i −0.0379329 + 0.999280i \(0.512077\pi\)
−0.989841 + 0.142178i \(0.954589\pi\)
\(504\) −0.142710 + 0.439216i −0.00635680 + 0.0195642i
\(505\) −1.54147 1.71198i −0.0685946 0.0761820i
\(506\) 14.3482 6.38824i 0.637856 0.283992i
\(507\) 14.7854 + 3.14272i 0.656641 + 0.139573i
\(508\) 1.77366 16.8752i 0.0786934 0.748718i
\(509\) 0.107145 + 1.01942i 0.00474912 + 0.0451848i 0.996640 0.0819091i \(-0.0261017\pi\)
−0.991891 + 0.127094i \(0.959435\pi\)
\(510\) −5.21911 + 1.10936i −0.231106 + 0.0491231i
\(511\) −6.70528 + 4.87167i −0.296624 + 0.215510i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 1.57663 0.335123i 0.0696099 0.0147960i
\(514\) 1.72552 + 16.4172i 0.0761095 + 0.724134i
\(515\) 0.689073 6.55609i 0.0303642 0.288896i
\(516\) −8.46320 1.79891i −0.372572 0.0791925i
\(517\) −3.33900 + 1.48662i −0.146849 + 0.0653814i
\(518\) 4.39908 + 4.88568i 0.193285 + 0.214664i
\(519\) −10.3662 + 31.9038i −0.455024 + 1.40042i
\(520\) −0.523398 + 0.581292i −0.0229525 + 0.0254913i
\(521\) −6.57055 11.3805i −0.287861 0.498590i 0.685438 0.728131i \(-0.259611\pi\)
−0.973299 + 0.229541i \(0.926277\pi\)
\(522\) −1.78572 + 3.09296i −0.0781589 + 0.135375i
\(523\) −0.771812 2.37539i −0.0337490 0.103869i 0.932763 0.360490i \(-0.117391\pi\)
−0.966512 + 0.256622i \(0.917391\pi\)
\(524\) 13.6919 + 6.09602i 0.598133 + 0.266306i
\(525\) 7.64866 + 5.55708i 0.333815 + 0.242531i
\(526\) −17.8994 −0.780450
\(527\) −17.6662 + 41.2717i −0.769554 + 1.79782i
\(528\) 3.99244 0.173749
\(529\) −14.1713 10.2961i −0.616144 0.447654i
\(530\) 1.08093 + 0.481262i 0.0469526 + 0.0209047i
\(531\) −1.12031 3.44795i −0.0486171 0.149628i
\(532\) −0.178068 + 0.308422i −0.00772022 + 0.0133718i
\(533\) −2.06349 3.57407i −0.0893796 0.154810i
\(534\) −1.26988 + 1.41035i −0.0549531 + 0.0610316i
\(535\) −1.52134 + 4.68220i −0.0657732 + 0.202429i
\(536\) −5.38101 5.97622i −0.232424 0.258133i
\(537\) −2.53440 + 1.12839i −0.109368 + 0.0486936i
\(538\) −12.2887 2.61205i −0.529805 0.112614i
\(539\) 1.42841 13.5904i 0.0615260 0.585380i
\(540\) 0.233932 + 2.22572i 0.0100668 + 0.0957797i
\(541\) −11.1968 + 2.37995i −0.481387 + 0.102322i −0.442212 0.896911i \(-0.645806\pi\)
−0.0391745 + 0.999232i \(0.512473\pi\)
\(542\) −8.82130 + 6.40905i −0.378907 + 0.275292i
\(543\) −7.02908 + 5.10692i −0.301647 + 0.219159i
\(544\) −7.88696 + 1.67642i −0.338151 + 0.0718761i
\(545\) 0.817482 + 7.77782i 0.0350171 + 0.333165i
\(546\) 0.391103 3.72109i 0.0167377 0.159248i
\(547\) −6.80182 1.44577i −0.290825 0.0618168i 0.0601889 0.998187i \(-0.480830\pi\)
−0.351014 + 0.936370i \(0.614163\pi\)
\(548\) −8.91289 + 3.96828i −0.380740 + 0.169516i
\(549\) −0.369841 0.410750i −0.0157844 0.0175304i
\(550\) −3.68491 + 11.3410i −0.157125 + 0.483581i
\(551\) −1.84289 + 2.04673i −0.0785096 + 0.0871937i
\(552\) −5.14961 8.91939i −0.219182 0.379635i
\(553\) −3.65514 + 6.33088i −0.155432 + 0.269217i
\(554\) 4.12825 + 12.7054i 0.175393 + 0.539803i
\(555\) 3.28716 + 1.46354i 0.139532 + 0.0621238i
\(556\) −15.8370 11.5062i −0.671637 0.487973i
\(557\) −13.2546 −0.561616 −0.280808 0.959764i \(-0.590602\pi\)
−0.280808 + 0.959764i \(0.590602\pi\)
\(558\) 1.85693 + 1.03666i 0.0786099 + 0.0438854i
\(559\) −10.2274 −0.432572
\(560\) −0.400040 0.290646i −0.0169048 0.0122820i
\(561\) 29.4086 + 13.0935i 1.24163 + 0.552810i
\(562\) 1.32611 + 4.08136i 0.0559388 + 0.172162i
\(563\) 9.20226 15.9388i 0.387829 0.671739i −0.604328 0.796735i \(-0.706559\pi\)
0.992157 + 0.124996i \(0.0398918\pi\)
\(564\) 1.19837 + 2.07565i 0.0504607 + 0.0874005i
\(565\) 3.11623 3.46093i 0.131101 0.145602i
\(566\) 6.79798 20.9220i 0.285741 0.879419i
\(567\) −6.23607 6.92586i −0.261890 0.290859i
\(568\) 7.52547 3.35055i 0.315762 0.140586i
\(569\) −2.02983 0.431455i −0.0850951 0.0180875i 0.165167 0.986266i \(-0.447184\pi\)
−0.250262 + 0.968178i \(0.580517\pi\)
\(570\) −0.0203746 + 0.193852i −0.000853399 + 0.00811955i
\(571\) −0.804543 7.65472i −0.0336691 0.320340i −0.998374 0.0570061i \(-0.981845\pi\)
0.964705 0.263334i \(-0.0848221\pi\)
\(572\) 4.61612 0.981187i 0.193010 0.0410255i
\(573\) 6.11760 4.44470i 0.255566 0.185680i
\(574\) 2.11064 1.53347i 0.0880965 0.0640059i
\(575\) 30.0895 6.39572i 1.25482 0.266720i
\(576\) 0.0399263 + 0.379874i 0.00166360 + 0.0158281i
\(577\) −2.74650 + 26.1312i −0.114338 + 1.08786i 0.775426 + 0.631438i \(0.217535\pi\)
−0.889765 + 0.456420i \(0.849132\pi\)
\(578\) −46.9653 9.98278i −1.95350 0.415229i
\(579\) 5.55392 2.47276i 0.230813 0.102765i
\(580\) −2.55876 2.84179i −0.106247 0.117999i
\(581\) −1.88864 + 5.81265i −0.0783542 + 0.241149i
\(582\) −12.0693 + 13.4043i −0.500290 + 0.555628i
\(583\) −3.56936 6.18231i −0.147828 0.256045i
\(584\) −3.42754 + 5.93667i −0.141833 + 0.245661i
\(585\) 0.0923268 + 0.284153i 0.00381725 + 0.0117483i
\(586\) −11.6727 5.19704i −0.482197 0.214688i
\(587\) 16.7439 + 12.1652i 0.691096 + 0.502110i 0.877020 0.480454i \(-0.159528\pi\)
−0.185925 + 0.982564i \(0.559528\pi\)
\(588\) −8.96097 −0.369544
\(589\) 1.23448 + 1.07969i 0.0508659 + 0.0444877i
\(590\) 3.88176 0.159809
\(591\) 14.4852 + 10.5241i 0.595842 + 0.432904i
\(592\) 4.96747 + 2.21166i 0.204162 + 0.0908986i
\(593\) −5.13950 15.8177i −0.211054 0.649557i −0.999410 0.0343381i \(-0.989068\pi\)
0.788356 0.615219i \(-0.210932\pi\)
\(594\) 6.75115 11.6933i 0.277003 0.479784i
\(595\) −1.99352 3.45288i −0.0817264 0.141554i
\(596\) 10.6076 11.7809i 0.434504 0.482565i
\(597\) −1.91308 + 5.88785i −0.0782971 + 0.240974i
\(598\) −8.14610 9.04716i −0.333119 0.369966i
\(599\) 13.4037 5.96769i 0.547658 0.243833i −0.114206 0.993457i \(-0.536432\pi\)
0.661864 + 0.749624i \(0.269766\pi\)
\(600\) 7.64866 + 1.62577i 0.312255 + 0.0663719i
\(601\) −3.82985 + 36.4386i −0.156223 + 1.48636i 0.582764 + 0.812642i \(0.301971\pi\)
−0.738987 + 0.673720i \(0.764695\pi\)
\(602\) −0.675809 6.42989i −0.0275439 0.262063i
\(603\) −3.00457 + 0.638641i −0.122355 + 0.0260075i
\(604\) −6.16897 + 4.48202i −0.251012 + 0.182371i
\(605\) 1.62510 1.18071i 0.0660698 0.0480025i
\(606\) 8.91493 1.89493i 0.362144 0.0769761i
\(607\) −3.30626 31.4570i −0.134197 1.27680i −0.829673 0.558250i \(-0.811473\pi\)
0.695476 0.718549i \(-0.255194\pi\)
\(608\) −0.0307895 + 0.292943i −0.00124868 + 0.0118804i
\(609\) 17.8920 + 3.80305i 0.725019 + 0.154107i
\(610\) 0.540640 0.240708i 0.0218899 0.00974600i
\(611\) 1.89569 + 2.10538i 0.0766915 + 0.0851746i
\(612\) −0.951727 + 2.92911i −0.0384713 + 0.118402i
\(613\) 21.2875 23.6422i 0.859796 0.954900i −0.139581 0.990211i \(-0.544575\pi\)
0.999376 + 0.0353108i \(0.0112421\pi\)
\(614\) −4.51003 7.81160i −0.182010 0.315250i
\(615\) 0.713948 1.23659i 0.0287892 0.0498643i
\(616\) 0.921892 + 2.83729i 0.0371441 + 0.114318i
\(617\) 19.7979 + 8.81458i 0.797033 + 0.354862i 0.764512 0.644609i \(-0.222980\pi\)
0.0325205 + 0.999471i \(0.489647\pi\)
\(618\) 21.0997 + 15.3299i 0.848756 + 0.616657i
\(619\) 13.0974 0.526427 0.263214 0.964738i \(-0.415218\pi\)
0.263214 + 0.964738i \(0.415218\pi\)
\(620\) −1.67004 + 1.54793i −0.0670706 + 0.0621663i
\(621\) −34.8316 −1.39775
\(622\) −7.06897 5.13591i −0.283440 0.205931i
\(623\) −1.29551 0.576799i −0.0519036 0.0231090i
\(624\) −0.956295 2.94317i −0.0382824 0.117821i
\(625\) −11.2595 + 19.5021i −0.450381 + 0.780083i
\(626\) −10.4310 18.0670i −0.416905 0.722101i
\(627\) 0.786897 0.873938i 0.0314257 0.0349017i
\(628\) −2.15448 + 6.63082i −0.0859733 + 0.264598i
\(629\) 29.3373 + 32.5824i 1.16976 + 1.29915i
\(630\) −0.172544 + 0.0768217i −0.00687433 + 0.00306065i
\(631\) 2.53536 + 0.538907i 0.100931 + 0.0214535i 0.258100 0.966118i \(-0.416903\pi\)
−0.157169 + 0.987572i \(0.550237\pi\)
\(632\) −0.632006 + 6.01314i −0.0251399 + 0.239190i
\(633\) −1.55523 14.7971i −0.0618149 0.588130i
\(634\) 20.6544 4.39024i 0.820293 0.174359i
\(635\) 5.61426 4.07900i 0.222795 0.161870i
\(636\) −3.78716 + 2.75154i −0.150171 + 0.109106i
\(637\) −10.3608 + 2.20226i −0.410510 + 0.0872566i
\(638\) 2.41160 + 22.9448i 0.0954760 + 0.908394i
\(639\) 0.328899 3.12926i 0.0130110 0.123792i
\(640\) −0.400040 0.0850311i −0.0158130 0.00336115i
\(641\) 23.3660 10.4032i 0.922902 0.410902i 0.110418 0.993885i \(-0.464781\pi\)
0.812484 + 0.582983i \(0.198115\pi\)
\(642\) −13.0330 14.4746i −0.514370 0.571266i
\(643\) 5.57977 17.1728i 0.220045 0.677228i −0.778712 0.627381i \(-0.784127\pi\)
0.998757 0.0498464i \(-0.0158732\pi\)
\(644\) 5.14961 5.71923i 0.202923 0.225369i
\(645\) −1.76929 3.06450i −0.0696657 0.120665i
\(646\) −1.18753 + 2.05686i −0.0467226 + 0.0809260i
\(647\) −4.54443 13.9863i −0.178660 0.549859i 0.821122 0.570753i \(-0.193349\pi\)
−0.999782 + 0.0208941i \(0.993349\pi\)
\(648\) −7.04179 3.13521i −0.276628 0.123163i
\(649\) −18.9469 13.7657i −0.743731 0.540352i
\(650\) 9.24305 0.362542
\(651\) 2.11064 10.6857i 0.0827226 0.418807i
\(652\) 19.2033 0.752059
\(653\) 36.9617 + 26.8542i 1.44642 + 1.05089i 0.986651 + 0.162848i \(0.0520682\pi\)
0.459770 + 0.888038i \(0.347932\pi\)
\(654\) −28.2659 12.5848i −1.10528 0.492104i
\(655\) 1.89415 + 5.82960i 0.0740106 + 0.227781i
\(656\) 1.07890 1.86871i 0.0421239 0.0729607i
\(657\) 1.30920 + 2.26761i 0.0510769 + 0.0884678i
\(658\) −1.19837 + 1.33093i −0.0467175 + 0.0518851i
\(659\) −10.5990 + 32.6205i −0.412880 + 1.27071i 0.501253 + 0.865301i \(0.332873\pi\)
−0.914133 + 0.405414i \(0.867127\pi\)
\(660\) 1.09257 + 1.21342i 0.0425282 + 0.0472323i
\(661\) −5.49575 + 2.44686i −0.213760 + 0.0951720i −0.510823 0.859686i \(-0.670659\pi\)
0.297064 + 0.954858i \(0.403993\pi\)
\(662\) 26.9477 + 5.72791i 1.04735 + 0.222622i
\(663\) 2.60825 24.8159i 0.101296 0.963768i
\(664\) 0.528391 + 5.02731i 0.0205056 + 0.195097i
\(665\) −0.142468 + 0.0302826i −0.00552469 + 0.00117431i
\(666\) 1.68030 1.22081i 0.0651103 0.0473054i
\(667\) 48.1497 34.9828i 1.86436 1.35454i
\(668\) 12.2409 2.60188i 0.473613 0.100670i
\(669\) 3.22001 + 30.6363i 0.124493 + 1.18447i
\(670\) 0.343785 3.27089i 0.0132816 0.126366i
\(671\) −3.49248 0.742351i −0.134826 0.0286581i
\(672\) 1.78716 0.795697i 0.0689414 0.0306947i
\(673\) 13.7350 + 15.2542i 0.529444 + 0.588008i 0.947237 0.320535i \(-0.103863\pi\)
−0.417792 + 0.908543i \(0.637196\pi\)
\(674\) 1.20341 3.70372i 0.0463536 0.142662i
\(675\) 17.6954 19.6528i 0.681097 0.756435i
\(676\) 4.67100 + 8.09041i 0.179654 + 0.311170i
\(677\) −8.02687 + 13.9029i −0.308498 + 0.534333i −0.978034 0.208446i \(-0.933160\pi\)
0.669536 + 0.742779i \(0.266493\pi\)
\(678\) 5.69364 + 17.5232i 0.218663 + 0.672975i
\(679\) −12.3129 5.48207i −0.472527 0.210383i
\(680\) −2.66785 1.93831i −0.102307 0.0743307i
\(681\) −20.4885 −0.785121
\(682\) 13.6409 1.63304i 0.522336 0.0625324i
\(683\) −42.5294 −1.62734 −0.813671 0.581326i \(-0.802534\pi\)
−0.813671 + 0.581326i \(0.802534\pi\)
\(684\) 0.0910229 + 0.0661320i 0.00348035 + 0.00252862i
\(685\) −3.64517 1.62293i −0.139275 0.0620091i
\(686\) −4.68450 14.4174i −0.178855 0.550460i
\(687\) −6.62020 + 11.4665i −0.252577 + 0.437475i
\(688\) −2.67370 4.63098i −0.101934 0.176555i
\(689\) −3.70256 + 4.11211i −0.141056 + 0.156659i
\(690\) 1.30163 4.00599i 0.0495520 0.152505i
\(691\) 14.7745 + 16.4087i 0.562047 + 0.624217i 0.955451 0.295149i \(-0.0953693\pi\)
−0.393404 + 0.919366i \(0.628703\pi\)
\(692\) −18.9399 + 8.43260i −0.719988 + 0.320559i
\(693\) 1.11462 + 0.236920i 0.0423409 + 0.00899984i
\(694\) 0.155948 1.48375i 0.00591971 0.0563223i
\(695\) −0.836851 7.96211i −0.0317436 0.302020i
\(696\) 14.7983 3.14547i 0.560927 0.119229i
\(697\) 14.0758 10.2267i 0.533159 0.387363i
\(698\) 0.625268 0.454284i 0.0236667 0.0171949i
\(699\) −31.7982 + 6.75892i −1.20272 + 0.255646i
\(700\) 0.610766 + 5.81105i 0.0230848 + 0.219637i
\(701\) 3.39234 32.2760i 0.128127 1.21905i −0.721783 0.692120i \(-0.756677\pi\)
0.849910 0.526928i \(-0.176656\pi\)
\(702\) −10.2372 2.17599i −0.386380 0.0821276i
\(703\) 1.46320 0.651458i 0.0551856 0.0245702i
\(704\) 1.65106 + 1.83368i 0.0622265 + 0.0691096i
\(705\) −0.302903 + 0.932240i −0.0114080 + 0.0351102i
\(706\) −13.0954 + 14.5439i −0.492850 + 0.547366i
\(707\) 3.40520 + 5.89798i 0.128066 + 0.221816i
\(708\) −7.67869 + 13.2999i −0.288583 + 0.499840i
\(709\) 7.48960 + 23.0506i 0.281278 + 0.865684i 0.987490 + 0.157683i \(0.0504026\pi\)
−0.706212 + 0.708000i \(0.749597\pi\)
\(710\) 3.07774 + 1.37030i 0.115506 + 0.0514264i
\(711\) 1.86840 + 1.35747i 0.0700704 + 0.0509091i
\(712\) −1.17291 −0.0439566
\(713\) −21.2429 28.3683i −0.795551 1.06240i
\(714\) 15.7739 0.590324
\(715\) 1.56146 + 1.13446i 0.0583951 + 0.0424265i
\(716\) −1.56635 0.697383i −0.0585371 0.0260624i
\(717\) −11.3284 34.8651i −0.423066 1.30206i
\(718\) −1.01019 + 1.74971i −0.0377001 + 0.0652985i
\(719\) 0.997478 + 1.72768i 0.0371997 + 0.0644317i 0.884026 0.467438i \(-0.154823\pi\)
−0.846826 + 0.531870i \(0.821490\pi\)
\(720\) −0.104528 + 0.116091i −0.00389555 + 0.00432644i
\(721\) −6.02228 + 18.5347i −0.224281 + 0.690267i
\(722\) −12.6554 14.0553i −0.470986 0.523083i
\(723\) −43.3639 + 19.3068i −1.61272 + 0.718029i
\(724\) −5.25240 1.11643i −0.195204 0.0414918i
\(725\) −4.72331 + 44.9393i −0.175419 + 1.66900i
\(726\) 0.830704 + 7.90362i 0.0308303 + 0.293331i
\(727\) −7.87488 + 1.67386i −0.292063 + 0.0620799i −0.351613 0.936145i \(-0.614367\pi\)
0.0595501 + 0.998225i \(0.481033\pi\)
\(728\) 1.87080 1.35921i 0.0693363 0.0503758i
\(729\) −23.8713 + 17.3435i −0.884123 + 0.642353i
\(730\) −2.74231 + 0.582895i −0.101497 + 0.0215739i
\(731\) −4.50695 42.8807i −0.166695 1.58600i
\(732\) −0.244738 + 2.32853i −0.00904577 + 0.0860648i
\(733\) 14.0976 + 2.99655i 0.520708 + 0.110680i 0.460766 0.887522i \(-0.347575\pi\)
0.0599426 + 0.998202i \(0.480908\pi\)
\(734\) −25.1921 + 11.2162i −0.929856 + 0.413999i
\(735\) −2.45225 2.72350i −0.0904526 0.100458i
\(736\) 1.96698 6.05373i 0.0725037 0.223144i
\(737\) −13.2775 + 14.7461i −0.489081 + 0.543180i
\(738\) −0.412102 0.713782i −0.0151697 0.0262747i
\(739\) 18.1854 31.4981i 0.668962 1.15868i −0.309233 0.950986i \(-0.600072\pi\)
0.978195 0.207690i \(-0.0665945\pi\)
\(740\) 0.687205 + 2.11500i 0.0252621 + 0.0777489i
\(741\) −0.832738 0.370759i −0.0305914 0.0136202i
\(742\) −2.82991 2.05605i −0.103889 0.0754801i
\(743\) 10.7395 0.393993 0.196997 0.980404i \(-0.436881\pi\)
0.196997 + 0.980404i \(0.436881\pi\)
\(744\) −2.00000 8.78402i −0.0733236 0.322038i
\(745\) 6.48343 0.237534
\(746\) −10.6085 7.70750i −0.388403 0.282192i
\(747\) 1.76391 + 0.785342i 0.0645380 + 0.0287342i
\(748\) 6.14807 + 18.9218i 0.224796 + 0.691850i
\(749\) 7.27715 12.6044i 0.265901 0.460554i
\(750\) 3.25335 + 5.63497i 0.118796 + 0.205760i
\(751\) −7.83921 + 8.70632i −0.286057 + 0.317698i −0.868998 0.494816i \(-0.835235\pi\)
0.582941 + 0.812515i \(0.301902\pi\)
\(752\) −0.457738 + 1.40877i −0.0166920 + 0.0513727i
\(753\) −3.67041 4.07640i −0.133757 0.148552i
\(754\) 16.3370 7.27368i 0.594957 0.264892i
\(755\) −3.05041 0.648384i −0.111016 0.0235971i
\(756\) 0.691573 6.57988i 0.0251523 0.239308i
\(757\) 2.09492 + 19.9319i 0.0761413 + 0.724436i 0.964284 + 0.264869i \(0.0853288\pi\)
−0.888143 + 0.459567i \(0.848005\pi\)
\(758\) 15.6818 3.33327i 0.569588 0.121070i
\(759\) −20.5595 + 14.9374i −0.746264 + 0.542193i
\(760\) −0.0974597 + 0.0708086i −0.00353523 + 0.00256850i
\(761\) −41.6273 + 8.84815i −1.50899 + 0.320745i −0.886811 0.462132i \(-0.847085\pi\)
−0.622176 + 0.782877i \(0.713751\pi\)
\(762\) 2.86984 + 27.3047i 0.103963 + 0.989145i
\(763\) 2.41672 22.9935i 0.0874911 0.832422i
\(764\) 4.57131 + 0.971661i 0.165384 + 0.0351535i
\(765\) −1.15069 + 0.512321i −0.0416034 + 0.0185230i
\(766\) 19.0610 + 21.1694i 0.688702 + 0.764881i
\(767\) −5.60963 + 17.2647i −0.202552 + 0.623391i
\(768\) 1.08268 1.20243i 0.0390677 0.0433891i
\(769\) −6.66562 11.5452i −0.240368 0.416330i 0.720451 0.693506i \(-0.243935\pi\)
−0.960819 + 0.277176i \(0.910602\pi\)
\(770\) −0.610052 + 1.05664i −0.0219847 + 0.0380787i
\(771\) −8.25384 25.4027i −0.297255 0.914856i
\(772\) 3.43251 + 1.52825i 0.123539