Properties

Label 62.2.d.b.33.2
Level 62
Weight 2
Character 62.33
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.1903140625.1
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 33.2
Root \(-0.480762 - 1.47963i\)
Character \(\chi\) = 62.33
Dual form 62.2.d.b.47.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(1.25865 - 0.914463i) q^{3} +(0.309017 + 0.951057i) q^{4} -4.13533 q^{5} +1.55578 q^{6} +(-0.500000 - 1.53884i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.179093 + 0.551192i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(1.25865 - 0.914463i) q^{3} +(0.309017 + 0.951057i) q^{4} -4.13533 q^{5} +1.55578 q^{6} +(-0.500000 - 1.53884i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.179093 + 0.551192i) q^{9} +(-3.34556 - 2.43069i) q^{10} +(1.14062 + 3.51046i) q^{11} +(1.25865 + 0.914463i) q^{12} +(3.20494 - 2.32852i) q^{13} +(0.500000 - 1.53884i) q^{14} +(-5.20494 + 3.78161i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(1.27789 - 3.93294i) q^{17} +(-0.468872 + 0.340655i) q^{18} +(-3.62344 - 2.63259i) q^{19} +(-1.27789 - 3.93294i) q^{20} +(-2.03654 - 1.47963i) q^{21} +(-1.14062 + 3.51046i) q^{22} +(-0.306950 + 0.944696i) q^{23} +(0.480762 + 1.47963i) q^{24} +12.1010 q^{25} +3.96152 q^{26} +(1.72091 + 5.29643i) q^{27} +(1.30902 - 0.951057i) q^{28} +(-3.00855 - 2.18584i) q^{29} -6.43366 q^{30} +(2.85204 + 4.78183i) q^{31} -1.00000 q^{32} +(4.64582 + 3.37538i) q^{33} +(3.34556 - 2.43069i) q^{34} +(2.06767 + 6.36363i) q^{35} -0.579557 q^{36} -6.89927 q^{37} +(-1.38403 - 4.25961i) q^{38} +(1.90455 - 5.86160i) q^{39} +(1.27789 - 3.93294i) q^{40} +(1.84556 + 1.34087i) q^{41} +(-0.777889 - 2.39409i) q^{42} +(-0.399266 - 0.290084i) q^{43} +(-2.98617 + 2.16958i) q^{44} +(0.740610 - 2.27936i) q^{45} +(-0.803607 + 0.583854i) q^{46} +(-1.50000 + 1.08981i) q^{47} +(-0.480762 + 1.47963i) q^{48} +(3.54508 - 2.57565i) q^{49} +(9.78991 + 7.11278i) q^{50} +(-1.98811 - 6.11877i) q^{51} +(3.20494 + 2.32852i) q^{52} +(-0.0524334 + 0.161373i) q^{53} +(-1.72091 + 5.29643i) q^{54} +(-4.71683 - 14.5169i) q^{55} +1.61803 q^{56} -6.96805 q^{57} +(-1.14916 - 3.53676i) q^{58} +(-10.1301 + 7.35991i) q^{59} +(-5.20494 - 3.78161i) q^{60} -3.34762 q^{61} +(-0.503344 + 5.54497i) q^{62} +0.937743 q^{63} +(-0.809017 - 0.587785i) q^{64} +(-13.2535 + 9.62923i) q^{65} +(1.77454 + 5.46149i) q^{66} +1.47882 q^{67} +4.13533 q^{68} +(0.477546 + 1.46974i) q^{69} +(-2.06767 + 6.36363i) q^{70} +(2.55904 - 7.87592i) q^{71} +(-0.468872 - 0.340655i) q^{72} +(-0.547152 - 1.68396i) q^{73} +(-5.58162 - 4.05529i) q^{74} +(15.2309 - 11.0659i) q^{75} +(1.38403 - 4.25961i) q^{76} +(4.83173 - 3.51046i) q^{77} +(4.98617 - 3.62267i) q^{78} +(-1.87668 + 5.77584i) q^{79} +(3.34556 - 2.43069i) q^{80} +(5.60280 + 4.07067i) q^{81} +(0.704940 + 2.16958i) q^{82} +(6.35410 + 4.61653i) q^{83} +(0.777889 - 2.39409i) q^{84} +(-5.28450 + 16.2640i) q^{85} +(-0.152506 - 0.469366i) q^{86} -5.78557 q^{87} -3.69111 q^{88} +(-5.81649 - 17.9013i) q^{89} +(1.93894 - 1.40872i) q^{90} +(-5.18570 - 3.76763i) q^{91} -0.993312 q^{92} +(7.96252 + 3.41057i) q^{93} -1.85410 q^{94} +(14.9842 + 10.8866i) q^{95} +(-1.25865 + 0.914463i) q^{96} +(-0.291845 - 0.898207i) q^{97} +4.38197 q^{98} -2.13921 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} + O(q^{10}) \) \( 8q + 2q^{2} - 2q^{3} - 2q^{4} + 2q^{6} - 4q^{7} + 2q^{8} - 12q^{9} - 5q^{10} + 6q^{11} - 2q^{12} + 7q^{13} + 4q^{14} - 23q^{15} - 2q^{16} + 5q^{17} - 3q^{18} - 2q^{19} - 5q^{20} + q^{21} - 6q^{22} - 15q^{23} - 3q^{24} + 16q^{25} + 18q^{26} + 37q^{27} + 6q^{28} - 19q^{29} - 2q^{30} + 13q^{31} - 8q^{32} + 30q^{33} + 5q^{34} + 18q^{36} - 40q^{37} - 3q^{38} + 30q^{39} + 5q^{40} - 7q^{41} - q^{42} + 12q^{43} + q^{44} - 31q^{45} - 20q^{46} - 12q^{47} + 3q^{48} + 6q^{49} + 19q^{50} - 22q^{51} + 7q^{52} + 9q^{53} - 37q^{54} - 13q^{55} + 4q^{56} + 28q^{57} - q^{58} - 18q^{59} - 23q^{60} + 12q^{61} - 3q^{62} + 6q^{63} - 2q^{64} - 16q^{65} + 10q^{66} - 26q^{67} - 50q^{69} - 25q^{71} - 3q^{72} + 35q^{73} - 5q^{74} + 26q^{75} + 3q^{76} - 8q^{77} + 15q^{78} + 6q^{79} + 5q^{80} + 43q^{81} - 13q^{82} + 24q^{83} + q^{84} - q^{85} + 8q^{86} + 8q^{87} + 14q^{88} - 7q^{89} - 4q^{90} - 16q^{91} - 10q^{92} + 3q^{93} + 12q^{94} + 30q^{95} + 2q^{96} + 26q^{97} + 44q^{98} - 46q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\)

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
\(3\) 1.25865 0.914463i 0.726682 0.527965i −0.161830 0.986819i \(-0.551740\pi\)
0.888512 + 0.458853i \(0.151740\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −4.13533 −1.84938 −0.924689 0.380724i \(-0.875675\pi\)
−0.924689 + 0.380724i \(0.875675\pi\)
\(6\) 1.55578 0.635143
\(7\) −0.500000 1.53884i −0.188982 0.581628i 0.811012 0.585030i \(-0.198917\pi\)
−0.999994 + 0.00340203i \(0.998917\pi\)
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −0.179093 + 0.551192i −0.0596977 + 0.183731i
\(10\) −3.34556 2.43069i −1.05796 0.768651i
\(11\) 1.14062 + 3.51046i 0.343909 + 1.05844i 0.962165 + 0.272466i \(0.0878392\pi\)
−0.618257 + 0.785976i \(0.712161\pi\)
\(12\) 1.25865 + 0.914463i 0.363341 + 0.263983i
\(13\) 3.20494 2.32852i 0.888890 0.645817i −0.0466981 0.998909i \(-0.514870\pi\)
0.935588 + 0.353092i \(0.114870\pi\)
\(14\) 0.500000 1.53884i 0.133631 0.411273i
\(15\) −5.20494 + 3.78161i −1.34391 + 0.976407i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 1.27789 3.93294i 0.309934 0.953877i −0.667856 0.744290i \(-0.732788\pi\)
0.977790 0.209587i \(-0.0672120\pi\)
\(18\) −0.468872 + 0.340655i −0.110514 + 0.0802932i
\(19\) −3.62344 2.63259i −0.831275 0.603957i 0.0886446 0.996063i \(-0.471746\pi\)
−0.919920 + 0.392107i \(0.871746\pi\)
\(20\) −1.27789 3.93294i −0.285745 0.879431i
\(21\) −2.03654 1.47963i −0.444409 0.322882i
\(22\) −1.14062 + 3.51046i −0.243180 + 0.748432i
\(23\) −0.306950 + 0.944696i −0.0640036 + 0.196983i −0.977945 0.208864i \(-0.933023\pi\)
0.913941 + 0.405847i \(0.133023\pi\)
\(24\) 0.480762 + 1.47963i 0.0981351 + 0.302029i
\(25\) 12.1010 2.42020
\(26\) 3.96152 0.776919
\(27\) 1.72091 + 5.29643i 0.331190 + 1.01930i
\(28\) 1.30902 0.951057i 0.247381 0.179733i
\(29\) −3.00855 2.18584i −0.558673 0.405900i 0.272300 0.962212i \(-0.412216\pi\)
−0.830973 + 0.556313i \(0.812216\pi\)
\(30\) −6.43366 −1.17462
\(31\) 2.85204 + 4.78183i 0.512241 + 0.858842i
\(32\) −1.00000 −0.176777
\(33\) 4.64582 + 3.37538i 0.808733 + 0.587579i
\(34\) 3.34556 2.43069i 0.573758 0.416860i
\(35\) 2.06767 + 6.36363i 0.349500 + 1.07565i
\(36\) −0.579557 −0.0965929
\(37\) −6.89927 −1.13423 −0.567116 0.823638i \(-0.691941\pi\)
−0.567116 + 0.823638i \(0.691941\pi\)
\(38\) −1.38403 4.25961i −0.224520 0.691001i
\(39\) 1.90455 5.86160i 0.304972 0.938607i
\(40\) 1.27789 3.93294i 0.202052 0.621852i
\(41\) 1.84556 + 1.34087i 0.288227 + 0.209409i 0.722498 0.691373i \(-0.242994\pi\)
−0.434271 + 0.900782i \(0.642994\pi\)
\(42\) −0.777889 2.39409i −0.120031 0.369417i
\(43\) −0.399266 0.290084i −0.0608876 0.0442374i 0.556925 0.830563i \(-0.311981\pi\)
−0.617813 + 0.786325i \(0.711981\pi\)
\(44\) −2.98617 + 2.16958i −0.450182 + 0.327077i
\(45\) 0.740610 2.27936i 0.110404 0.339787i
\(46\) −0.803607 + 0.583854i −0.118485 + 0.0860846i
\(47\) −1.50000 + 1.08981i −0.218797 + 0.158966i −0.691785 0.722103i \(-0.743175\pi\)
0.472988 + 0.881069i \(0.343175\pi\)
\(48\) −0.480762 + 1.47963i −0.0693920 + 0.213566i
\(49\) 3.54508 2.57565i 0.506441 0.367951i
\(50\) 9.78991 + 7.11278i 1.38450 + 1.00590i
\(51\) −1.98811 6.11877i −0.278391 0.856800i
\(52\) 3.20494 + 2.32852i 0.444445 + 0.322908i
\(53\) −0.0524334 + 0.161373i −0.00720228 + 0.0221663i −0.954593 0.297913i \(-0.903710\pi\)
0.947391 + 0.320079i \(0.103710\pi\)
\(54\) −1.72091 + 5.29643i −0.234187 + 0.720753i
\(55\) −4.71683 14.5169i −0.636017 1.95746i
\(56\) 1.61803 0.216219
\(57\) −6.96805 −0.922941
\(58\) −1.14916 3.53676i −0.150892 0.464399i
\(59\) −10.1301 + 7.35991i −1.31882 + 0.958179i −0.318874 + 0.947797i \(0.603305\pi\)
−0.999946 + 0.0103822i \(0.996695\pi\)
\(60\) −5.20494 3.78161i −0.671955 0.488204i
\(61\) −3.34762 −0.428619 −0.214310 0.976766i \(-0.568750\pi\)
−0.214310 + 0.976766i \(0.568750\pi\)
\(62\) −0.503344 + 5.54497i −0.0639247 + 0.704211i
\(63\) 0.937743 0.118145
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −13.2535 + 9.62923i −1.64389 + 1.19436i
\(66\) 1.77454 + 5.46149i 0.218431 + 0.672263i
\(67\) 1.47882 0.180667 0.0903335 0.995912i \(-0.471207\pi\)
0.0903335 + 0.995912i \(0.471207\pi\)
\(68\) 4.13533 0.501483
\(69\) 0.477546 + 1.46974i 0.0574898 + 0.176936i
\(70\) −2.06767 + 6.36363i −0.247134 + 0.760599i
\(71\) 2.55904 7.87592i 0.303702 0.934700i −0.676456 0.736483i \(-0.736485\pi\)
0.980158 0.198217i \(-0.0635149\pi\)
\(72\) −0.468872 0.340655i −0.0552571 0.0401466i
\(73\) −0.547152 1.68396i −0.0640392 0.197093i 0.913918 0.405900i \(-0.133042\pi\)
−0.977957 + 0.208807i \(0.933042\pi\)
\(74\) −5.58162 4.05529i −0.648851 0.471418i
\(75\) 15.2309 11.0659i 1.75871 1.27778i
\(76\) 1.38403 4.25961i 0.158759 0.488611i
\(77\) 4.83173 3.51046i 0.550626 0.400054i
\(78\) 4.98617 3.62267i 0.564573 0.410186i
\(79\) −1.87668 + 5.77584i −0.211143 + 0.649833i 0.788261 + 0.615340i \(0.210981\pi\)
−0.999405 + 0.0344924i \(0.989019\pi\)
\(80\) 3.34556 2.43069i 0.374045 0.271759i
\(81\) 5.60280 + 4.07067i 0.622533 + 0.452297i
\(82\) 0.704940 + 2.16958i 0.0778476 + 0.239590i
\(83\) 6.35410 + 4.61653i 0.697453 + 0.506729i 0.879102 0.476634i \(-0.158143\pi\)
−0.181649 + 0.983364i \(0.558143\pi\)
\(84\) 0.777889 2.39409i 0.0848746 0.261217i
\(85\) −5.28450 + 16.2640i −0.573184 + 1.76408i
\(86\) −0.152506 0.469366i −0.0164452 0.0506130i
\(87\) −5.78557 −0.620279
\(88\) −3.69111 −0.393474
\(89\) −5.81649 17.9013i −0.616547 1.89754i −0.374204 0.927346i \(-0.622084\pi\)
−0.242343 0.970191i \(-0.577916\pi\)
\(90\) 1.93894 1.40872i 0.204382 0.148492i
\(91\) −5.18570 3.76763i −0.543609 0.394955i
\(92\) −0.993312 −0.103560
\(93\) 7.96252 + 3.41057i 0.825675 + 0.353660i
\(94\) −1.85410 −0.191236
\(95\) 14.9842 + 10.8866i 1.53734 + 1.11694i
\(96\) −1.25865 + 0.914463i −0.128460 + 0.0933320i
\(97\) −0.291845 0.898207i −0.0296324 0.0911991i 0.935147 0.354261i \(-0.115268\pi\)
−0.964779 + 0.263062i \(0.915268\pi\)
\(98\) 4.38197 0.442645
\(99\) −2.13921 −0.214999
\(100\) 3.73941 + 11.5087i 0.373941 + 1.15087i
\(101\) 3.35612 10.3291i 0.333946 1.02778i −0.633292 0.773913i \(-0.718297\pi\)
0.967239 0.253869i \(-0.0817031\pi\)
\(102\) 1.98811 6.11877i 0.196852 0.605849i
\(103\) 11.9134 + 8.65556i 1.17386 + 0.852857i 0.991466 0.130369i \(-0.0416161\pi\)
0.182392 + 0.983226i \(0.441616\pi\)
\(104\) 1.22418 + 3.76763i 0.120041 + 0.369447i
\(105\) 8.42177 + 6.11877i 0.821881 + 0.597131i
\(106\) −0.137272 + 0.0997342i −0.0133331 + 0.00968704i
\(107\) 2.96759 9.13332i 0.286888 0.882951i −0.698938 0.715182i \(-0.746344\pi\)
0.985826 0.167769i \(-0.0536562\pi\)
\(108\) −4.50541 + 3.27337i −0.433533 + 0.314980i
\(109\) −3.97548 + 2.88836i −0.380782 + 0.276654i −0.761668 0.647968i \(-0.775619\pi\)
0.380886 + 0.924622i \(0.375619\pi\)
\(110\) 4.71683 14.5169i 0.449732 1.38413i
\(111\) −8.68376 + 6.30912i −0.824226 + 0.598835i
\(112\) 1.30902 + 0.951057i 0.123690 + 0.0898664i
\(113\) 3.80126 + 11.6991i 0.357592 + 1.10056i 0.954491 + 0.298240i \(0.0963995\pi\)
−0.596899 + 0.802317i \(0.703601\pi\)
\(114\) −5.63727 4.09572i −0.527979 0.383599i
\(115\) 1.26934 3.90663i 0.118367 0.364296i
\(116\) 1.14916 3.53676i 0.106697 0.328380i
\(117\) 0.709481 + 2.18356i 0.0655916 + 0.201870i
\(118\) −12.5214 −1.15269
\(119\) −6.69111 −0.613373
\(120\) −1.98811 6.11877i −0.181489 0.558565i
\(121\) −2.12311 + 1.54253i −0.193010 + 0.140230i
\(122\) −2.70828 1.96768i −0.245196 0.178146i
\(123\) 3.54909 0.320011
\(124\) −3.66646 + 4.19011i −0.329258 + 0.376283i
\(125\) −29.3650 −2.62648
\(126\) 0.758650 + 0.551192i 0.0675859 + 0.0491041i
\(127\) 8.26733 6.00656i 0.733606 0.532996i −0.157096 0.987583i \(-0.550213\pi\)
0.890702 + 0.454587i \(0.150213\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) −0.767808 −0.0676017
\(130\) −16.3822 −1.43682
\(131\) −4.29647 13.2232i −0.375384 1.15531i −0.943219 0.332171i \(-0.892219\pi\)
0.567835 0.823142i \(-0.307781\pi\)
\(132\) −1.77454 + 5.46149i −0.154454 + 0.475361i
\(133\) −2.23941 + 6.89220i −0.194182 + 0.597630i
\(134\) 1.19639 + 0.869231i 0.103353 + 0.0750901i
\(135\) −7.11655 21.9025i −0.612495 1.88507i
\(136\) 3.34556 + 2.43069i 0.286879 + 0.208430i
\(137\) 0.329324 0.239268i 0.0281361 0.0204421i −0.573628 0.819116i \(-0.694465\pi\)
0.601764 + 0.798674i \(0.294465\pi\)
\(138\) −0.477546 + 1.46974i −0.0406515 + 0.125112i
\(139\) −14.9307 + 10.8478i −1.26640 + 0.920094i −0.999053 0.0435055i \(-0.986147\pi\)
−0.267348 + 0.963600i \(0.586147\pi\)
\(140\) −5.41322 + 3.93294i −0.457501 + 0.332394i
\(141\) −0.891381 + 2.74339i −0.0750678 + 0.231035i
\(142\) 6.69966 4.86759i 0.562223 0.408479i
\(143\) 11.8298 + 8.59485i 0.989257 + 0.718737i
\(144\) −0.179093 0.551192i −0.0149244 0.0459326i
\(145\) 12.4413 + 9.03917i 1.03320 + 0.750662i
\(146\) 0.547152 1.68396i 0.0452826 0.139365i
\(147\) 2.10668 6.48370i 0.173756 0.534766i
\(148\) −2.13199 6.56159i −0.175249 0.539360i
\(149\) 14.3755 1.17769 0.588845 0.808246i \(-0.299583\pi\)
0.588845 + 0.808246i \(0.299583\pi\)
\(150\) 18.8264 1.53717
\(151\) 4.54236 + 13.9799i 0.369652 + 1.13767i 0.947016 + 0.321185i \(0.104081\pi\)
−0.577365 + 0.816486i \(0.695919\pi\)
\(152\) 3.62344 2.63259i 0.293900 0.213531i
\(153\) 1.93894 + 1.40872i 0.156754 + 0.113889i
\(154\) 5.97234 0.481265
\(155\) −11.7941 19.7745i −0.947327 1.58832i
\(156\) 6.16325 0.493455
\(157\) −0.996656 0.724113i −0.0795418 0.0577905i 0.547304 0.836934i \(-0.315654\pi\)
−0.626845 + 0.779144i \(0.715654\pi\)
\(158\) −4.91322 + 3.56967i −0.390875 + 0.283987i
\(159\) 0.0815747 + 0.251061i 0.00646929 + 0.0199104i
\(160\) 4.13533 0.326927
\(161\) 1.60721 0.126666
\(162\) 2.14008 + 6.58649i 0.168141 + 0.517483i
\(163\) −2.07101 + 6.37392i −0.162214 + 0.499244i −0.998820 0.0485612i \(-0.984536\pi\)
0.836606 + 0.547805i \(0.184536\pi\)
\(164\) −0.704940 + 2.16958i −0.0550465 + 0.169416i
\(165\) −19.2120 13.9583i −1.49565 1.08666i
\(166\) 2.42705 + 7.46969i 0.188376 + 0.579761i
\(167\) 7.61816 + 5.53492i 0.589511 + 0.428305i 0.842140 0.539258i \(-0.181295\pi\)
−0.252629 + 0.967563i \(0.581295\pi\)
\(168\) 2.03654 1.47963i 0.157122 0.114156i
\(169\) 0.832389 2.56183i 0.0640299 0.197064i
\(170\) −13.8350 + 10.0517i −1.06110 + 0.770931i
\(171\) 2.09999 1.52573i 0.160591 0.116676i
\(172\) 0.152506 0.469366i 0.0116285 0.0357888i
\(173\) 7.56573 5.49682i 0.575212 0.417916i −0.261783 0.965127i \(-0.584310\pi\)
0.836995 + 0.547211i \(0.184310\pi\)
\(174\) −4.68063 3.40067i −0.354837 0.257805i
\(175\) −6.05050 18.6215i −0.457374 1.40765i
\(176\) −2.98617 2.16958i −0.225091 0.163538i
\(177\) −6.01982 + 18.5271i −0.452478 + 1.39258i
\(178\) 5.81649 17.9013i 0.435965 1.34176i
\(179\) 3.75411 + 11.5540i 0.280595 + 0.863583i 0.987684 + 0.156459i \(0.0500079\pi\)
−0.707089 + 0.707124i \(0.749992\pi\)
\(180\) 2.39666 0.178637
\(181\) −8.50648 −0.632282 −0.316141 0.948712i \(-0.602387\pi\)
−0.316141 + 0.948712i \(0.602387\pi\)
\(182\) −1.98076 6.09616i −0.146824 0.451877i
\(183\) −4.21349 + 3.06128i −0.311470 + 0.226296i
\(184\) −0.803607 0.583854i −0.0592427 0.0430423i
\(185\) 28.5308 2.09762
\(186\) 4.43713 + 7.43946i 0.325346 + 0.545488i
\(187\) 15.2640 1.11621
\(188\) −1.50000 1.08981i −0.109399 0.0794828i
\(189\) 7.28991 5.29643i 0.530263 0.385258i
\(190\) 5.72344 + 17.6149i 0.415222 + 1.27792i
\(191\) −2.75964 −0.199681 −0.0998403 0.995003i \(-0.531833\pi\)
−0.0998403 + 0.995003i \(0.531833\pi\)
\(192\) −1.55578 −0.112279
\(193\) −7.77802 23.9383i −0.559874 1.72311i −0.682712 0.730688i \(-0.739199\pi\)
0.122838 0.992427i \(-0.460801\pi\)
\(194\) 0.291845 0.898207i 0.0209533 0.0644875i
\(195\) −7.87594 + 24.2397i −0.564008 + 1.73584i
\(196\) 3.54508 + 2.57565i 0.253220 + 0.183975i
\(197\) 1.60668 + 4.94486i 0.114471 + 0.352306i 0.991836 0.127517i \(-0.0407007\pi\)
−0.877365 + 0.479823i \(0.840701\pi\)
\(198\) −1.73066 1.25740i −0.122992 0.0893593i
\(199\) −5.94122 + 4.31655i −0.421162 + 0.305992i −0.778105 0.628134i \(-0.783819\pi\)
0.356943 + 0.934126i \(0.383819\pi\)
\(200\) −3.73941 + 11.5087i −0.264416 + 0.813790i
\(201\) 1.86132 1.35233i 0.131288 0.0953860i
\(202\) 8.78643 6.38372i 0.618211 0.449157i
\(203\) −1.85938 + 5.72259i −0.130503 + 0.401647i
\(204\) 5.20494 3.78161i 0.364419 0.264766i
\(205\) −7.63199 5.54497i −0.533041 0.387277i
\(206\) 4.55050 + 14.0050i 0.317048 + 0.975774i
\(207\) −0.465736 0.338377i −0.0323709 0.0235188i
\(208\) −1.22418 + 3.76763i −0.0848815 + 0.261238i
\(209\) 5.10862 15.7227i 0.353371 1.08756i
\(210\) 3.21683 + 9.90038i 0.221982 + 0.683191i
\(211\) −7.72943 −0.532116 −0.266058 0.963957i \(-0.585721\pi\)
−0.266058 + 0.963957i \(0.585721\pi\)
\(212\) −0.169678 −0.0116535
\(213\) −3.98130 12.2532i −0.272794 0.839574i
\(214\) 7.76926 5.64470i 0.531096 0.385864i
\(215\) 1.65110 + 1.19959i 0.112604 + 0.0818117i
\(216\) −5.56899 −0.378922
\(217\) 5.93246 6.77975i 0.402722 0.460239i
\(218\) −4.91396 −0.332816
\(219\) −2.22859 1.61917i −0.150594 0.109413i
\(220\) 12.3488 8.97194i 0.832557 0.604888i
\(221\) −5.06239 15.5804i −0.340533 1.04805i
\(222\) −10.7337 −0.720400
\(223\) −9.81950 −0.657562 −0.328781 0.944406i \(-0.606638\pi\)
−0.328781 + 0.944406i \(0.606638\pi\)
\(224\) 0.500000 + 1.53884i 0.0334077 + 0.102818i
\(225\) −2.16720 + 6.66997i −0.144480 + 0.444664i
\(226\) −3.80126 + 11.6991i −0.252856 + 0.778211i
\(227\) 0.0762929 + 0.0554300i 0.00506374 + 0.00367902i 0.590314 0.807174i \(-0.299004\pi\)
−0.585251 + 0.810853i \(0.699004\pi\)
\(228\) −2.15325 6.62701i −0.142602 0.438885i
\(229\) 13.6643 + 9.92771i 0.902963 + 0.656041i 0.939225 0.343301i \(-0.111545\pi\)
−0.0362620 + 0.999342i \(0.511545\pi\)
\(230\) 3.32318 2.41443i 0.219124 0.159203i
\(231\) 2.87127 8.83687i 0.188916 0.581423i
\(232\) 3.00855 2.18584i 0.197521 0.143507i
\(233\) −11.8436 + 8.60489i −0.775901 + 0.563725i −0.903746 0.428069i \(-0.859194\pi\)
0.127845 + 0.991794i \(0.459194\pi\)
\(234\) −0.709481 + 2.18356i −0.0463802 + 0.142744i
\(235\) 6.20300 4.50674i 0.404639 0.293988i
\(236\) −10.1301 7.35991i −0.659410 0.479090i
\(237\) 2.91970 + 8.98592i 0.189655 + 0.583698i
\(238\) −5.41322 3.93294i −0.350887 0.254934i
\(239\) −4.27789 + 13.1660i −0.276714 + 0.851637i 0.712047 + 0.702132i \(0.247768\pi\)
−0.988761 + 0.149505i \(0.952232\pi\)
\(240\) 1.98811 6.11877i 0.128332 0.394965i
\(241\) −0.0786883 0.242178i −0.00506876 0.0156000i 0.948490 0.316807i \(-0.102611\pi\)
−0.953559 + 0.301207i \(0.902611\pi\)
\(242\) −2.62431 −0.168697
\(243\) −5.93254 −0.380572
\(244\) −1.03447 3.18378i −0.0662253 0.203821i
\(245\) −14.6601 + 10.6512i −0.936600 + 0.680480i
\(246\) 2.87127 + 2.08610i 0.183066 + 0.133005i
\(247\) −17.7430 −1.12896
\(248\) −5.42912 + 1.23478i −0.344749 + 0.0784086i
\(249\) 12.2192 0.774362
\(250\) −23.7568 17.2603i −1.50251 1.09164i
\(251\) 20.2869 14.7393i 1.28050 0.930336i 0.280930 0.959728i \(-0.409357\pi\)
0.999568 + 0.0293922i \(0.00935718\pi\)
\(252\) 0.289779 + 0.891847i 0.0182543 + 0.0561811i
\(253\) −3.66643 −0.230506
\(254\) 10.2190 0.641196
\(255\) 8.22150 + 25.3032i 0.514850 + 1.58455i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 3.86934 11.9086i 0.241363 0.742838i −0.754851 0.655896i \(-0.772291\pi\)
0.996213 0.0869411i \(-0.0277092\pi\)
\(258\) −0.621170 0.451306i −0.0386723 0.0280971i
\(259\) 3.44963 + 10.6169i 0.214350 + 0.659701i
\(260\) −13.2535 9.62923i −0.821947 0.597179i
\(261\) 1.74362 1.26682i 0.107928 0.0784140i
\(262\) 4.29647 13.2232i 0.265437 0.816930i
\(263\) 11.8245 8.59101i 0.729130 0.529744i −0.160158 0.987091i \(-0.551200\pi\)
0.889288 + 0.457347i \(0.151200\pi\)
\(264\) −4.64582 + 3.37538i −0.285930 + 0.207741i
\(265\) 0.216830 0.667333i 0.0133197 0.0409939i
\(266\) −5.86286 + 4.25961i −0.359475 + 0.261174i
\(267\) −23.6910 17.2125i −1.44987 1.05339i
\(268\) 0.456982 + 1.40644i 0.0279146 + 0.0859123i
\(269\) −7.21489 5.24193i −0.439900 0.319606i 0.345695 0.938347i \(-0.387643\pi\)
−0.785595 + 0.618741i \(0.787643\pi\)
\(270\) 7.11655 21.9025i 0.433100 1.33294i
\(271\) −8.28582 + 25.5011i −0.503328 + 1.54908i 0.300236 + 0.953865i \(0.402935\pi\)
−0.803564 + 0.595219i \(0.797065\pi\)
\(272\) 1.27789 + 3.93294i 0.0774834 + 0.238469i
\(273\) −9.97234 −0.603554
\(274\) 0.407067 0.0245918
\(275\) 13.8026 + 42.4800i 0.832327 + 2.56164i
\(276\) −1.25023 + 0.908347i −0.0752552 + 0.0546761i
\(277\) 5.17501 + 3.75986i 0.310936 + 0.225908i 0.732298 0.680984i \(-0.238448\pi\)
−0.421362 + 0.906893i \(0.638448\pi\)
\(278\) −18.4553 −1.10688
\(279\) −3.14648 + 0.715626i −0.188375 + 0.0428434i
\(280\) −6.69111 −0.399870
\(281\) −7.87033 5.71813i −0.469505 0.341115i 0.327744 0.944767i \(-0.393712\pi\)
−0.797248 + 0.603652i \(0.793712\pi\)
\(282\) −2.33367 + 1.69551i −0.138968 + 0.100966i
\(283\) −2.50702 7.71580i −0.149027 0.458657i 0.848480 0.529227i \(-0.177518\pi\)
−0.997507 + 0.0705703i \(0.977518\pi\)
\(284\) 8.28123 0.491401
\(285\) 28.8152 1.70687
\(286\) 4.51858 + 13.9068i 0.267189 + 0.822323i
\(287\) 1.14062 3.51046i 0.0673284 0.207216i
\(288\) 0.179093 0.551192i 0.0105532 0.0324793i
\(289\) −0.0817033 0.0593609i −0.00480608 0.00349182i
\(290\) 4.75217 + 14.6257i 0.279057 + 0.858849i
\(291\) −1.18871 0.863647i −0.0696833 0.0506279i
\(292\) 1.43246 1.04074i 0.0838285 0.0609049i
\(293\) −3.33024 + 10.2494i −0.194555 + 0.598778i 0.805427 + 0.592695i \(0.201936\pi\)
−0.999981 + 0.00608278i \(0.998064\pi\)
\(294\) 5.51536 4.00715i 0.321662 0.233701i
\(295\) 41.8912 30.4357i 2.43900 1.77204i
\(296\) 2.13199 6.56159i 0.123919 0.381385i
\(297\) −16.6300 + 12.0824i −0.964969 + 0.701091i
\(298\) 11.6301 + 8.44973i 0.673711 + 0.489480i
\(299\) 1.21599 + 3.74244i 0.0703226 + 0.216431i
\(300\) 15.2309 + 11.0659i 0.879357 + 0.638890i
\(301\) −0.246760 + 0.759450i −0.0142230 + 0.0437740i
\(302\) −4.54236 + 13.9799i −0.261383 + 0.804455i
\(303\) −5.22137 16.0697i −0.299960 0.923182i
\(304\) 4.47882 0.256878
\(305\) 13.8435 0.792679
\(306\) 0.740610 + 2.27936i 0.0423378 + 0.130302i
\(307\) 18.3455 13.3288i 1.04703 0.760713i 0.0753859 0.997154i \(-0.475981\pi\)
0.971646 + 0.236441i \(0.0759811\pi\)
\(308\) 4.83173 + 3.51046i 0.275313 + 0.200027i
\(309\) 22.9099 1.30330
\(310\) 2.08150 22.9303i 0.118221 1.30235i
\(311\) −11.8398 −0.671375 −0.335687 0.941973i \(-0.608969\pi\)
−0.335687 + 0.941973i \(0.608969\pi\)
\(312\) 4.98617 + 3.62267i 0.282286 + 0.205093i
\(313\) −21.7119 + 15.7746i −1.22723 + 0.891634i −0.996679 0.0814272i \(-0.974052\pi\)
−0.230549 + 0.973061i \(0.574052\pi\)
\(314\) −0.380689 1.17164i −0.0214835 0.0661194i
\(315\) −3.87788 −0.218494
\(316\) −6.07308 −0.341637
\(317\) 6.70147 + 20.6250i 0.376392 + 1.15842i 0.942535 + 0.334109i \(0.108435\pi\)
−0.566142 + 0.824307i \(0.691565\pi\)
\(318\) −0.0815747 + 0.251061i −0.00457448 + 0.0140788i
\(319\) 4.24169 13.0546i 0.237489 0.730916i
\(320\) 3.34556 + 2.43069i 0.187022 + 0.135880i
\(321\) −4.61692 14.2094i −0.257691 0.793092i
\(322\) 1.30026 + 0.944696i 0.0724608 + 0.0526459i
\(323\) −14.9842 + 10.8866i −0.833741 + 0.605748i
\(324\) −2.14008 + 6.58649i −0.118893 + 0.365916i
\(325\) 38.7829 28.1775i 2.15129 1.56300i
\(326\) −5.42198 + 3.93930i −0.300296 + 0.218177i
\(327\) −2.36244 + 7.27086i −0.130643 + 0.402079i
\(328\) −1.84556 + 1.34087i −0.101904 + 0.0740374i
\(329\) 2.42705 + 1.76336i 0.133808 + 0.0972169i
\(330\) −7.33834 22.5851i −0.403962 1.24327i
\(331\) −14.9811 10.8844i −0.823438 0.598263i 0.0942570 0.995548i \(-0.469952\pi\)
−0.917695 + 0.397285i \(0.869952\pi\)
\(332\) −2.42705 + 7.46969i −0.133202 + 0.409953i
\(333\) 1.23561 3.80282i 0.0677110 0.208393i
\(334\) 2.90988 + 8.95569i 0.159222 + 0.490033i
\(335\) −6.11543 −0.334122
\(336\) 2.51730 0.137330
\(337\) −1.53641 4.72858i −0.0836936 0.257582i 0.900449 0.434962i \(-0.143238\pi\)
−0.984143 + 0.177379i \(0.943238\pi\)
\(338\) 2.17922 1.58330i 0.118534 0.0861200i
\(339\) 15.4828 + 11.2489i 0.840912 + 0.610958i
\(340\) −17.1010 −0.927431
\(341\) −13.5333 + 15.4662i −0.732871 + 0.837540i
\(342\) 2.59573 0.140361
\(343\) −14.8992 10.8249i −0.804480 0.584489i
\(344\) 0.399266 0.290084i 0.0215270 0.0156403i
\(345\) −1.97481 6.07785i −0.106320 0.327221i
\(346\) 9.35176 0.502753
\(347\) 3.74642 0.201119 0.100559 0.994931i \(-0.467937\pi\)
0.100559 + 0.994931i \(0.467937\pi\)
\(348\) −1.78784 5.50241i −0.0958383 0.294960i
\(349\) 8.04848 24.7707i 0.430825 1.32594i −0.466480 0.884532i \(-0.654478\pi\)
0.897305 0.441412i \(-0.145522\pi\)
\(350\) 6.05050 18.6215i 0.323413 0.995362i
\(351\) 17.8483 + 12.9675i 0.952671 + 0.692156i
\(352\) −1.14062 3.51046i −0.0607950 0.187108i
\(353\) −25.3145 18.3920i −1.34735 0.978910i −0.999139 0.0414950i \(-0.986788\pi\)
−0.348215 0.937415i \(-0.613212\pi\)
\(354\) −15.7601 + 11.4504i −0.837640 + 0.608581i
\(355\) −10.5825 + 32.5696i −0.561660 + 1.72861i
\(356\) 15.2278 11.0636i 0.807071 0.586371i
\(357\) −8.42177 + 6.11877i −0.445727 + 0.323840i
\(358\) −3.75411 + 11.5540i −0.198411 + 0.610646i
\(359\) −2.19111 + 1.59194i −0.115642 + 0.0840192i −0.644103 0.764939i \(-0.722769\pi\)
0.528461 + 0.848958i \(0.322769\pi\)
\(360\) 1.93894 + 1.40872i 0.102191 + 0.0742462i
\(361\) 0.327515 + 1.00799i 0.0172376 + 0.0530520i
\(362\) −6.88189 4.99998i −0.361704 0.262793i
\(363\) −1.26167 + 3.88301i −0.0662203 + 0.203805i
\(364\) 1.98076 6.09616i 0.103820 0.319525i
\(365\) 2.26265 + 6.96374i 0.118433 + 0.364499i
\(366\) −5.20815 −0.272235
\(367\) −23.1077 −1.20621 −0.603106 0.797661i \(-0.706070\pi\)
−0.603106 + 0.797661i \(0.706070\pi\)
\(368\) −0.306950 0.944696i −0.0160009 0.0492457i
\(369\) −1.06961 + 0.777114i −0.0556814 + 0.0404549i
\(370\) 23.0819 + 16.7700i 1.19997 + 0.871829i
\(371\) 0.274545 0.0142537
\(372\) −0.783091 + 8.62673i −0.0406014 + 0.447275i
\(373\) 29.7285 1.53928 0.769642 0.638475i \(-0.220435\pi\)
0.769642 + 0.638475i \(0.220435\pi\)
\(374\) 12.3488 + 8.97194i 0.638542 + 0.463928i
\(375\) −36.9602 + 26.8532i −1.90862 + 1.38669i
\(376\) −0.572949 1.76336i −0.0295476 0.0909381i
\(377\) −14.7320 −0.758736
\(378\) 9.01082 0.463467
\(379\) −3.92376 12.0761i −0.201550 0.620307i −0.999837 0.0180302i \(-0.994261\pi\)
0.798288 0.602276i \(-0.205739\pi\)
\(380\) −5.72344 + 17.6149i −0.293606 + 0.903627i
\(381\) 4.91289 15.1203i 0.251695 0.774638i
\(382\) −2.23260 1.62208i −0.114230 0.0829926i
\(383\) −7.27789 22.3990i −0.371883 1.14454i −0.945558 0.325454i \(-0.894483\pi\)
0.573675 0.819083i \(-0.305517\pi\)
\(384\) −1.25865 0.914463i −0.0642302 0.0466660i
\(385\) −19.9808 + 14.5169i −1.01832 + 0.739850i
\(386\) 7.77802 23.9383i 0.395891 1.21843i
\(387\) 0.231398 0.168120i 0.0117626 0.00854604i
\(388\) 0.764061 0.555123i 0.0387893 0.0281821i
\(389\) 1.29792 3.99458i 0.0658070 0.202533i −0.912746 0.408527i \(-0.866043\pi\)
0.978553 + 0.205994i \(0.0660427\pi\)
\(390\) −20.6195 + 14.9809i −1.04411 + 0.758589i
\(391\) 3.32318 + 2.41443i 0.168061 + 0.122103i
\(392\) 1.35410 + 4.16750i 0.0683925 + 0.210490i
\(393\) −17.4998 12.7144i −0.882750 0.641356i
\(394\) −1.60668 + 4.94486i −0.0809434 + 0.249118i
\(395\) 7.76072 23.8850i 0.390484 1.20179i
\(396\) −0.661052 2.03451i −0.0332191 0.102238i
\(397\) −2.48096 −0.124516 −0.0622580 0.998060i \(-0.519830\pi\)
−0.0622580 + 0.998060i \(0.519830\pi\)
\(398\) −7.34375 −0.368109
\(399\) 3.48403 + 10.7227i 0.174419 + 0.536808i
\(400\) −9.78991 + 7.11278i −0.489495 + 0.355639i
\(401\) 3.35938 + 2.44074i 0.167760 + 0.121884i 0.668497 0.743715i \(-0.266938\pi\)
−0.500738 + 0.865599i \(0.666938\pi\)
\(402\) 2.30072 0.114749
\(403\) 20.2752 + 8.68444i 1.00998 + 0.432603i
\(404\) 10.8606 0.540337
\(405\) −23.1695 16.8336i −1.15130 0.836468i
\(406\) −4.86793 + 3.53676i −0.241591 + 0.175526i
\(407\) −7.86942 24.2196i −0.390072 1.20052i
\(408\) 6.43366 0.318514
\(409\) −8.88004 −0.439090 −0.219545 0.975602i \(-0.570457\pi\)
−0.219545 + 0.975602i \(0.570457\pi\)
\(410\) −2.91516 8.97194i −0.143970 0.443093i
\(411\) 0.195702 0.602310i 0.00965329 0.0297098i
\(412\) −4.55050 + 14.0050i −0.224187 + 0.689976i
\(413\) 16.3908 + 11.9086i 0.806537 + 0.585983i
\(414\) −0.177895 0.547505i −0.00874308 0.0269084i
\(415\) −26.2763 19.0909i −1.28985 0.937134i
\(416\) −3.20494 + 2.32852i −0.157135 + 0.114165i
\(417\) −8.87260 + 27.3071i −0.434493 + 1.33723i
\(418\) 13.3745 9.71717i 0.654170 0.475282i
\(419\) −7.17154 + 5.21043i −0.350352 + 0.254546i −0.749017 0.662551i \(-0.769474\pi\)
0.398664 + 0.917097i \(0.369474\pi\)
\(420\) −3.21683 + 9.90038i −0.156965 + 0.483089i
\(421\) −9.36686 + 6.80542i −0.456513 + 0.331676i −0.792162 0.610311i \(-0.791044\pi\)
0.335649 + 0.941987i \(0.391044\pi\)
\(422\) −6.25324 4.54324i −0.304403 0.221162i
\(423\) −0.332057 1.02197i −0.0161452 0.0496897i
\(424\) −0.137272 0.0997342i −0.00666654 0.00484352i
\(425\) 15.4637 47.5924i 0.750101 2.30857i
\(426\) 3.98130 12.2532i 0.192895 0.593668i
\(427\) 1.67381 + 5.15146i 0.0810014 + 0.249297i
\(428\) 9.60334 0.464195
\(429\) 22.7492 1.09834
\(430\) 0.630664 + 1.94098i 0.0304133 + 0.0936026i
\(431\) 21.1076 15.3356i 1.01672 0.738688i 0.0511099 0.998693i \(-0.483724\pi\)
0.965607 + 0.260005i \(0.0837241\pi\)
\(432\) −4.50541 3.27337i −0.216767 0.157490i
\(433\) 6.62901 0.318570 0.159285 0.987233i \(-0.449081\pi\)
0.159285 + 0.987233i \(0.449081\pi\)
\(434\) 8.78450 1.99792i 0.421669 0.0959031i
\(435\) 23.9253 1.14713
\(436\) −3.97548 2.88836i −0.190391 0.138327i
\(437\) 3.59921 2.61498i 0.172174 0.125091i
\(438\) −0.851246 2.61987i −0.0406741 0.125182i
\(439\) 21.1272 1.00834 0.504172 0.863603i \(-0.331798\pi\)
0.504172 + 0.863603i \(0.331798\pi\)
\(440\) 15.2640 0.727682
\(441\) 0.784780 + 2.41530i 0.0373705 + 0.115014i
\(442\) 5.06239 15.5804i 0.240793 0.741085i
\(443\) 1.96953 6.06160i 0.0935753 0.287995i −0.893304 0.449452i \(-0.851619\pi\)
0.986880 + 0.161457i \(0.0516193\pi\)
\(444\) −8.68376 6.30912i −0.412113 0.299418i
\(445\) 24.0531 + 74.0280i 1.14023 + 3.50926i
\(446\) −7.94414 5.77176i −0.376166 0.273301i
\(447\) 18.0938 13.1459i 0.855806 0.621779i
\(448\) −0.500000 + 1.53884i −0.0236228 + 0.0727034i
\(449\) −2.61296 + 1.89843i −0.123313 + 0.0895923i −0.647732 0.761868i \(-0.724283\pi\)
0.524419 + 0.851460i \(0.324283\pi\)
\(450\) −5.67381 + 4.12227i −0.267466 + 0.194325i
\(451\) −2.60201 + 8.00817i −0.122524 + 0.377090i
\(452\) −9.95183 + 7.23043i −0.468095 + 0.340091i
\(453\) 18.5014 + 13.4420i 0.869270 + 0.631562i
\(454\) 0.0291413 + 0.0896876i 0.00136767 + 0.00420925i
\(455\) 21.4446 + 15.5804i 1.00534 + 0.730421i
\(456\) 2.15325 6.62701i 0.100835 0.310338i
\(457\) −7.33565 + 22.5768i −0.343147 + 1.05610i 0.619421 + 0.785059i \(0.287368\pi\)
−0.962568 + 0.271040i \(0.912632\pi\)
\(458\) 5.21930 + 16.0634i 0.243882 + 0.750592i
\(459\) 23.0297 1.07493
\(460\) 4.10768 0.191522
\(461\) 4.54187 + 13.9784i 0.211536 + 0.651041i 0.999381 + 0.0351678i \(0.0111966\pi\)
−0.787845 + 0.615873i \(0.788803\pi\)
\(462\) 7.51709 5.46149i 0.349727 0.254091i
\(463\) 10.5701 + 7.67961i 0.491233 + 0.356902i 0.805658 0.592381i \(-0.201812\pi\)
−0.314425 + 0.949282i \(0.601812\pi\)
\(464\) 3.71877 0.172639
\(465\) −32.9277 14.1038i −1.52698 0.654050i
\(466\) −14.6395 −0.678163
\(467\) 7.91657 + 5.75172i 0.366335 + 0.266158i 0.755690 0.654930i \(-0.227302\pi\)
−0.389355 + 0.921088i \(0.627302\pi\)
\(468\) −1.85745 + 1.34951i −0.0858605 + 0.0623813i
\(469\) −0.739412 2.27568i −0.0341429 0.105081i
\(470\) 7.66733 0.353668
\(471\) −1.91662 −0.0883130
\(472\) −3.86934 11.9086i −0.178101 0.548137i
\(473\) 0.562917 1.73248i 0.0258830 0.0796596i
\(474\) −2.91970 + 8.98592i −0.134106 + 0.412737i
\(475\) −43.8473 31.8569i −2.01185 1.46170i
\(476\) −2.06767 6.36363i −0.0947714 0.291676i
\(477\) −0.0795572 0.0578017i −0.00364267 0.00264656i
\(478\) −11.1997 + 8.13703i −0.512260 + 0.372179i
\(479\) −3.35084 + 10.3128i −0.153104 + 0.471205i −0.997964 0.0637826i \(-0.979684\pi\)
0.844860 + 0.534987i \(0.179684\pi\)
\(480\) 5.20494 3.78161i 0.237572 0.172606i
\(481\) −22.1117 + 16.0651i −1.00821 + 0.732506i
\(482\) 0.0786883 0.242178i 0.00358415 0.0110309i
\(483\) 2.02292 1.46974i 0.0920460 0.0668753i
\(484\) −2.12311 1.54253i −0.0965049 0.0701149i
\(485\) 1.20688 + 3.71439i 0.0548015 + 0.168662i
\(486\) −4.79952 3.48706i −0.217711 0.158176i
\(487\) 11.2158 34.5187i 0.508237 1.56419i −0.287023 0.957924i \(-0.592666\pi\)
0.795260 0.606269i \(-0.207334\pi\)
\(488\) 1.03447 3.18378i 0.0468284 0.144123i
\(489\) 3.22203 + 9.91639i 0.145705 + 0.448435i
\(490\) −18.1209 −0.818619
\(491\) 21.3211 0.962209 0.481105 0.876663i \(-0.340236\pi\)
0.481105 + 0.876663i \(0.340236\pi\)
\(492\) 1.09673 + 3.37538i 0.0494444 + 0.152174i
\(493\) −12.4413 + 9.03917i −0.560330 + 0.407104i
\(494\) −14.3544 10.4291i −0.645833 0.469225i
\(495\) 8.84635 0.397614
\(496\) −5.11803 2.19220i −0.229807 0.0984326i
\(497\) −13.3993 −0.601041
\(498\) 9.88557 + 7.18228i 0.442983 + 0.321846i
\(499\) 30.1562 21.9097i 1.34997 0.980814i 0.350962 0.936390i \(-0.385855\pi\)
0.999013 0.0444246i \(-0.0141454\pi\)
\(500\) −9.07428 27.9277i −0.405814 1.24897i
\(501\) 14.6501 0.654517
\(502\) 25.0760 1.11920
\(503\) 9.37087 + 28.8406i 0.417826 + 1.28594i 0.909698 + 0.415270i \(0.136313\pi\)
−0.491872 + 0.870667i \(0.663687\pi\)
\(504\) −0.289779 + 0.891847i −0.0129078 + 0.0397260i
\(505\) −13.8787 + 42.7142i −0.617593 + 1.90076i
\(506\) −2.96620 2.15507i −0.131864 0.0958046i
\(507\) −1.29501 3.98563i −0.0575135 0.177008i
\(508\) 8.26733 + 6.00656i 0.366803 + 0.266498i
\(509\) −21.3468 + 15.5094i −0.946180 + 0.687440i −0.949900 0.312553i \(-0.898816\pi\)
0.00372000 + 0.999993i \(0.498816\pi\)
\(510\) −8.22150 + 25.3032i −0.364054 + 1.12044i
\(511\) −2.31777 + 1.68396i −0.102532 + 0.0744940i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) 7.70767 23.7218i 0.340302 1.04734i
\(514\) 10.1301 7.35991i 0.446817 0.324632i
\(515\) −49.2657 35.7936i −2.17091 1.57726i
\(516\) −0.237266 0.730229i −0.0104450 0.0321465i
\(517\) −5.53667 4.02262i −0.243502 0.176915i
\(518\) −3.44963 + 10.6169i −0.151568 + 0.466479i
\(519\) 4.49597 13.8372i 0.197351 0.607384i
\(520\) −5.06239 15.5804i −0.222000 0.683247i
\(521\) −27.4596 −1.20303 −0.601513 0.798863i \(-0.705435\pi\)
−0.601513 + 0.798863i \(0.705435\pi\)
\(522\) 2.15524 0.0943322
\(523\) −5.32116 16.3769i −0.232678 0.716110i −0.997421 0.0717742i \(-0.977134\pi\)
0.764743 0.644336i \(-0.222866\pi\)
\(524\) 11.2483 8.17236i 0.491384 0.357011i
\(525\) −24.6441 17.9050i −1.07556 0.781439i
\(526\) 14.6159 0.637283
\(527\) 22.4512 5.10623i 0.977990 0.222431i
\(528\) −5.74255 −0.249912
\(529\) 17.8092 + 12.9391i 0.774311 + 0.562570i
\(530\) 0.567667 0.412434i 0.0246579 0.0179150i
\(531\) −2.24250 6.90171i −0.0973163 0.299509i
\(532\) −7.24689 −0.314192
\(533\) 9.03716 0.391443
\(534\) −9.04917 27.8505i −0.391596 1.20521i
\(535\) −12.2720 + 37.7693i −0.530565 + 1.63291i
\(536\) −0.456982 + 1.40644i −0.0197386 + 0.0607492i
\(537\) 15.2908 + 11.1094i 0.659846 + 0.479406i
\(538\) −2.75584 8.48161i −0.118813 0.365668i
\(539\) 13.0853 + 9.50703i 0.563624 + 0.409497i
\(540\) 18.6314 13.5365i 0.801767 0.582518i
\(541\) −0.966725 + 2.97528i −0.0415628 + 0.127917i −0.969685 0.244359i \(-0.921423\pi\)
0.928122 + 0.372276i \(0.121423\pi\)
\(542\) −21.6926 + 15.7606i −0.931776 + 0.676975i
\(543\) −10.7067 + 7.77886i −0.459468 + 0.333823i
\(544\) −1.27789 + 3.93294i −0.0547890 + 0.168623i
\(545\) 16.4399 11.9443i 0.704210 0.511638i
\(546\) −8.06780 5.86160i −0.345270 0.250853i
\(547\) 9.92070 + 30.5328i 0.424179 + 1.30549i 0.903779 + 0.428000i \(0.140782\pi\)
−0.479600 + 0.877487i \(0.659218\pi\)
\(548\) 0.329324 + 0.239268i 0.0140680 + 0.0102210i
\(549\) 0.599536 1.84518i 0.0255876 0.0787504i
\(550\) −13.8026 + 42.4800i −0.588544 + 1.81135i
\(551\) 5.14690 + 15.8405i 0.219265 + 0.674829i
\(552\) −1.54537 −0.0657754
\(553\) 9.82645 0.417863
\(554\) 1.97668 + 6.08359i 0.0839810 + 0.258467i
\(555\) 35.9103 26.0903i 1.52431 1.10747i
\(556\) −14.9307 10.8478i −0.633201 0.460047i
\(557\) −39.3743 −1.66834 −0.834172 0.551505i \(-0.814054\pi\)
−0.834172 + 0.551505i \(0.814054\pi\)
\(558\) −2.96619 1.27050i −0.125569 0.0537847i
\(559\) −1.95509 −0.0826916
\(560\) −5.41322 3.93294i −0.228750 0.166197i
\(561\) 19.2120 13.9583i 0.811132 0.589322i
\(562\) −3.00620 9.25213i −0.126809 0.390278i
\(563\) −43.9055 −1.85040 −0.925198 0.379485i \(-0.876101\pi\)
−0.925198 + 0.379485i \(0.876101\pi\)
\(564\) −2.88457 −0.121462
\(565\) −15.7195 48.3796i −0.661324 2.03534i
\(566\) 2.50702 7.71580i 0.105378 0.324319i
\(567\) 3.46272 10.6572i 0.145421 0.447559i
\(568\) 6.69966 + 4.86759i 0.281111 + 0.204239i
\(569\) 0.626832 + 1.92919i 0.0262782 + 0.0808759i 0.963336 0.268300i \(-0.0864617\pi\)
−0.937057 + 0.349176i \(0.886462\pi\)
\(570\) 23.3120 + 16.9372i 0.976433 + 0.709420i
\(571\) −29.3872 + 21.3511i −1.22982 + 0.893514i −0.996876 0.0789768i \(-0.974835\pi\)
−0.232940 + 0.972491i \(0.574835\pi\)
\(572\) −4.51858 + 13.9068i −0.188931 + 0.581471i
\(573\) −3.47342 + 2.52359i −0.145104 + 0.105424i
\(574\) 2.98617 2.16958i 0.124640 0.0905566i
\(575\) −3.71440 + 11.4318i −0.154901 + 0.476737i
\(576\) 0.468872 0.340655i 0.0195363 0.0141940i
\(577\) −9.45645 6.87051i −0.393677 0.286023i 0.373284 0.927717i \(-0.378232\pi\)
−0.766961 + 0.641694i \(0.778232\pi\)
\(578\) −0.0312079 0.0960480i −0.00129808 0.00399507i
\(579\) −31.6805 23.0172i −1.31660 0.956563i
\(580\) −4.75217 + 14.6257i −0.197323 + 0.607298i
\(581\) 3.92705 12.0862i 0.162922 0.501421i
\(582\) −0.454046 1.39741i −0.0188208 0.0579245i
\(583\) −0.626300 −0.0259387
\(584\) 1.77062 0.0732688
\(585\) −2.93394 9.02974i −0.121304 0.373334i
\(586\) −8.71869 + 6.33450i −0.360166 + 0.261676i
\(587\) 26.4283 + 19.2013i 1.09081 + 0.792522i 0.979536 0.201268i \(-0.0645061\pi\)
0.111276 + 0.993790i \(0.464506\pi\)
\(588\) 6.81736 0.281143
\(589\) 2.25439 24.8349i 0.0928905 1.02331i
\(590\) 51.7803 2.13176
\(591\) 6.54414 + 4.75459i 0.269190 + 0.195578i
\(592\) 5.58162 4.05529i 0.229403 0.166671i
\(593\) 1.72831 + 5.31919i 0.0709732 + 0.218433i 0.980251 0.197756i \(-0.0633654\pi\)
−0.909278 + 0.416189i \(0.863365\pi\)
\(594\) −20.5558 −0.843414
\(595\) 27.6700 1.13436
\(596\) 4.44228 + 13.6719i 0.181963 + 0.560025i
\(597\) −3.53059 + 10.8660i −0.144497 + 0.444718i
\(598\) −1.21599 + 3.74244i −0.0497256 + 0.153040i
\(599\) −28.9455 21.0301i −1.18268 0.859267i −0.190208 0.981744i \(-0.560916\pi\)
−0.992471 + 0.122477i \(0.960916\pi\)
\(600\) 5.81769 + 17.9050i 0.237506 + 0.730969i
\(601\) 25.2107 + 18.3167i 1.02837 + 0.747153i 0.967981 0.251022i \(-0.0807668\pi\)
0.0603861 + 0.998175i \(0.480767\pi\)
\(602\) −0.646027 + 0.469366i −0.0263301 + 0.0191299i
\(603\) −0.264847 + 0.815115i −0.0107854 + 0.0331941i
\(604\) −11.8920 + 8.64008i −0.483881 + 0.351560i
\(605\) 8.77976 6.37887i 0.356948 0.259338i
\(606\) 5.22137 16.0697i 0.212104 0.652788i
\(607\) 6.53192 4.74572i 0.265122 0.192623i −0.447280 0.894394i \(-0.647607\pi\)
0.712402 + 0.701771i \(0.247607\pi\)
\(608\) 3.62344 + 2.63259i 0.146950 + 0.106765i
\(609\) 2.89279 + 8.90308i 0.117222 + 0.360771i
\(610\) 11.1997 + 8.13703i 0.453461 + 0.329459i
\(611\) −2.26975 + 6.98557i −0.0918243 + 0.282606i
\(612\) −0.740610 + 2.27936i −0.0299374 + 0.0921377i
\(613\) −14.4099 44.3492i −0.582012 1.79125i −0.610954 0.791666i \(-0.709214\pi\)
0.0289423 0.999581i \(-0.490786\pi\)
\(614\) 22.6763 0.915139
\(615\) −14.6767 −0.591821
\(616\) 1.84556 + 5.68004i 0.0743596 + 0.228855i
\(617\) 15.2449 11.0760i 0.613735 0.445905i −0.236992 0.971512i \(-0.576162\pi\)
0.850728 + 0.525607i \(0.176162\pi\)
\(618\) 18.5345 + 13.4661i 0.745568 + 0.541687i
\(619\) −24.0731 −0.967579 −0.483789 0.875184i \(-0.660740\pi\)
−0.483789 + 0.875184i \(0.660740\pi\)
\(620\) 15.1620 17.3275i 0.608923 0.695890i
\(621\) −5.53175 −0.221981
\(622\) −9.57862 6.95927i −0.384068 0.279041i
\(623\) −24.6391 + 17.9013i −0.987143 + 0.717202i
\(624\) 1.90455 + 5.86160i 0.0762429 + 0.234652i
\(625\) 60.9290 2.43716
\(626\) −26.8374 −1.07264
\(627\) −7.94787 24.4610i −0.317407 0.976880i
\(628\) 0.380689 1.17164i 0.0151911 0.0467535i
\(629\) −8.81649 + 27.1344i −0.351537 + 1.08192i
\(630\) −3.13727 2.27936i −0.124992 0.0908119i
\(631\) −2.28120 7.02082i −0.0908132 0.279494i 0.895327 0.445410i \(-0.146942\pi\)
−0.986140 + 0.165916i \(0.946942\pi\)
\(632\) −4.91322 3.56967i −0.195438 0.141994i
\(633\) −9.72865 + 7.06828i −0.386679 + 0.280939i
\(634\) −6.70147 + 20.6250i −0.266149 + 0.819124i
\(635\) −34.1882 + 24.8391i −1.35672 + 0.985712i
\(636\) −0.213565 + 0.155164i −0.00846841 + 0.00615266i
\(637\) 5.36431 16.5096i 0.212542 0.654136i
\(638\) 11.1049 8.06817i 0.439646 0.319422i
\(639\) 3.88283 + 2.82104i 0.153603 + 0.111599i
\(640\) 1.27789 + 3.93294i 0.0505130 + 0.155463i
\(641\) 22.0208 + 15.9991i 0.869770 + 0.631925i 0.930525 0.366228i \(-0.119351\pi\)
−0.0607551 + 0.998153i \(0.519351\pi\)
\(642\) 4.61692 14.2094i 0.182215 0.560801i
\(643\) 3.13620 9.65224i 0.123680 0.380647i −0.869978 0.493090i \(-0.835867\pi\)
0.993658 + 0.112443i \(0.0358674\pi\)
\(644\) 0.496656 + 1.52855i 0.0195710 + 0.0602333i
\(645\) 3.17514 0.125021
\(646\) −18.5214 −0.728716
\(647\) −6.54146 20.1325i −0.257171 0.791492i −0.993394 0.114753i \(-0.963392\pi\)
0.736223 0.676739i \(-0.236608\pi\)
\(648\) −5.60280 + 4.07067i −0.220099 + 0.159911i
\(649\) −37.3912 27.1663i −1.46773 1.06637i
\(650\) 47.9384 1.88030
\(651\) 1.26707 13.9583i 0.0496603 0.547071i
\(652\) −6.70193 −0.262468
\(653\) 12.5300 + 9.10356i 0.490336 + 0.356250i 0.805314 0.592849i \(-0.201997\pi\)
−0.314978 + 0.949099i \(0.601997\pi\)
\(654\) −6.18496 + 4.49364i −0.241851 + 0.175715i
\(655\) 17.7673 + 54.6822i 0.694227 + 2.13661i
\(656\) −2.28123 −0.0890672
\(657\) 1.02618 0.0400349
\(658\) 0.927051 + 2.85317i 0.0361402 + 0.111228i
\(659\) −10.3489 + 31.8506i −0.403136 + 1.24072i 0.519306 + 0.854588i \(0.326191\pi\)
−0.922442 + 0.386136i \(0.873809\pi\)
\(660\) 7.33834 22.5851i 0.285644 0.879123i
\(661\) 32.1373 + 23.3491i 1.24999 + 0.908174i 0.998222 0.0596123i \(-0.0189865\pi\)
0.251773 + 0.967786i \(0.418986\pi\)
\(662\) −5.72229 17.6114i −0.222403 0.684486i
\(663\) −20.6195 14.9809i −0.800795 0.581811i
\(664\) −6.35410 + 4.61653i −0.246587 + 0.179156i
\(665\) 9.26072 28.5016i 0.359115 1.10524i
\(666\) 3.23487 2.35027i 0.125349 0.0910711i
\(667\) 2.98843 2.17122i 0.115712 0.0840699i
\(668\) −2.90988 + 8.95569i −0.112587 + 0.346506i
\(669\) −12.3593 + 8.97957i −0.477839 + 0.347170i
\(670\) −4.94749 3.59456i −0.191138 0.138870i
\(671\) −3.81835 11.7517i −0.147406 0.453669i
\(672\) 2.03654 + 1.47963i 0.0785612 + 0.0570780i
\(673\) 4.17567 12.8514i 0.160960 0.495385i −0.837756 0.546046i \(-0.816133\pi\)
0.998716 + 0.0506602i \(0.0161326\pi\)
\(674\) 1.53641 4.72858i 0.0591803 0.182138i
\(675\) 20.8248 + 64.0920i 0.801545 + 2.46690i
\(676\) 2.69367 0.103603
\(677\) 31.6226 1.21535 0.607677 0.794184i \(-0.292101\pi\)
0.607677 + 0.794184i \(0.292101\pi\)
\(678\) 5.91391 + 18.2012i 0.227123 + 0.699011i
\(679\) −1.23628 + 0.898207i −0.0474439 + 0.0344700i
\(680\) −13.8350 10.0517i −0.530548 0.385465i
\(681\) 0.146715 0.00562212
\(682\) −20.0395 + 4.55771i −0.767351 + 0.174524i
\(683\) 45.1151 1.72628 0.863141 0.504962i \(-0.168494\pi\)
0.863141 + 0.504962i \(0.168494\pi\)
\(684\) 2.09999 + 1.52573i 0.0802953 + 0.0583379i
\(685\) −1.36187 + 0.989454i −0.0520343 + 0.0378051i
\(686\) −5.69098 17.5150i −0.217283 0.668728i
\(687\) 26.2771 1.00253
\(688\) 0.493520 0.0188153
\(689\) 0.207716 + 0.639284i 0.00791335 + 0.0243548i
\(690\) 1.97481 6.07785i 0.0751799 0.231380i
\(691\) −7.63071 + 23.4849i −0.290286 + 0.893408i 0.694478 + 0.719514i \(0.255635\pi\)
−0.984764 + 0.173895i \(0.944365\pi\)
\(692\) 7.56573 + 5.49682i 0.287606 + 0.208958i
\(693\) 1.06961 + 3.29191i 0.0406309 + 0.125049i
\(694\) 3.03092 + 2.20209i 0.115052 + 0.0835903i
\(695\) 61.7432 44.8591i 2.34205 1.70160i
\(696\) 1.78784 5.50241i 0.0677679 0.208568i
\(697\) 7.63199 5.54497i 0.289082 0.210031i
\(698\) 21.0712 15.3091i 0.797556 0.579459i
\(699\) −7.03812 + 21.6611i −0.266206 + 0.819298i
\(700\) 15.8404 11.5087i 0.598711 0.434989i
\(701\) 20.6833 + 15.0273i 0.781199 + 0.567574i 0.905339 0.424690i \(-0.139617\pi\)
−0.124139 + 0.992265i \(0.539617\pi\)
\(702\) 6.81744 + 20.9819i 0.257308 + 0.791912i
\(703\) 24.9991 + 18.1629i 0.942859 + 0.685027i
\(704\) 1.14062 3.51046i 0.0429886 0.132305i
\(705\) 3.68616 11.3448i 0.138829 0.427271i
\(706\) −9.66927 29.7590i −0.363908 1.11999i
\(707\) −17.5729 −0.660896
\(708\) −19.4806 −0.732124
\(709\) −2.03021 6.24834i −0.0762461 0.234662i 0.905668 0.423987i \(-0.139370\pi\)
−0.981914 + 0.189326i \(0.939370\pi\)
\(710\) −27.7053 + 20.1291i −1.03976 + 0.755432i
\(711\) −2.84749 2.06883i −0.106789 0.0775870i
\(712\) 18.8226 0.705406
\(713\) −5.39281 + 1.22652i −0.201962 + 0.0459336i
\(714\) −10.4099 −0.389580
\(715\) −48.9201 35.5426i −1.82951 1.32922i
\(716\) −9.82838 + 7.14074i −0.367304 + 0.266862i
\(717\) 6.65544 + 20.4833i 0.248552 + 0.764964i
\(718\) −2.70836 −0.101075
\(719\) −52.8053 −1.96931 −0.984653 0.174523i \(-0.944162\pi\)
−0.984653 + 0.174523i \(0.944162\pi\)
\(720\) 0.740610 + 2.27936i 0.0276009 + 0.0849468i
\(721\) 7.36286 22.6605i 0.274207 0.843923i
\(722\) −0.327515 + 1.00799i −0.0121889 + 0.0375134i
\(723\) −0.320504 0.232859i −0.0119197 0.00866014i
\(724\) −2.62865 8.09014i −0.0976929 0.300668i
\(725\) −36.4064 26.4508i −1.35210 0.982358i
\(726\) −3.30308 + 2.39983i −0.122589 + 0.0890660i
\(727\) 15.7990 48.6243i 0.585952 1.80338i −0.00946067 0.999955i \(-0.503011\pi\)
0.595413 0.803420i \(-0.296989\pi\)
\(728\) 5.18570 3.76763i 0.192195 0.139638i
\(729\) −24.2754 + 17.6371i −0.899088 + 0.653226i
\(730\) −2.26265 + 6.96374i −0.0837446 + 0.257739i
\(731\) −1.65110 + 1.19959i −0.0610682 + 0.0443686i
\(732\) −4.21349 3.06128i −0.155735 0.113148i
\(733\) −15.2390 46.9007i −0.562864 1.73232i −0.674215 0.738535i \(-0.735518\pi\)
0.111351 0.993781i \(-0.464482\pi\)
\(734\) −18.6945 13.5824i −0.690027 0.501334i
\(735\) −8.71183 + 26.8123i −0.321341 + 0.988985i
\(736\) 0.306950 0.944696i 0.0113143 0.0348220i
\(737\) 1.68677 + 5.19135i 0.0621330 + 0.191226i
\(738\) −1.32210 −0.0486673
\(739\) 21.3614 0.785790 0.392895 0.919583i \(-0.371474\pi\)
0.392895 + 0.919583i \(0.371474\pi\)
\(740\) 8.81649 + 27.1344i 0.324101 + 0.997480i
\(741\) −22.3322 + 16.2253i −0.820393 + 0.596051i
\(742\) 0.222111 + 0.161373i 0.00815397 + 0.00592420i
\(743\) −39.9128 −1.46426 −0.732130 0.681165i \(-0.761474\pi\)
−0.732130 + 0.681165i \(0.761474\pi\)
\(744\) −5.70420 + 6.51888i −0.209126 + 0.238994i
\(745\) −59.4476 −2.17799
\(746\) 24.0509 + 17.4740i 0.880565 + 0.639768i
\(747\) −3.68257 + 2.67554i −0.134738 + 0.0978929i
\(748\) 4.71683 + 14.5169i 0.172464 + 0.530791i
\(749\) −15.5385 −0.567765
\(750\) −45.6854 −1.66819
\(751\) 10.9531 + 33.7102i 0.399685 + 1.23010i 0.925253 + 0.379351i \(0.123853\pi\)
−0.525568 + 0.850751i \(0.676147\pi\)
\(752\) 0.572949 1.76336i 0.0208933 0.0643030i
\(753\) 12.0556 37.1032i 0.439329 1.35212i
\(754\) −11.9184 8.65924i −0.434043 0.315351i
\(755\) −18.7842 57.8117i −0.683626 2.10398i
\(756\) 7.28991 + 5.29643i 0.265131 + 0.192629i
\(757\) −11.1591 + 8.10757i −0.405585 + 0.294675i −0.771812 0.635851i \(-0.780649\pi\)
0.366227 + 0.930526i \(0.380649\pi\)
\(758\) 3.92376 12.0761i 0.142517 0.438623i
\(759\) −4.61475 + 3.35281i −0.167505 + 0.121699i
\(760\) −14.9842 + 10.8866i −0.543532 + 0.394899i
\(761\) −9.08229 + 27.9524i −0.329233 + 1.01327i 0.640261 + 0.768158i \(0.278826\pi\)
−0.969494 + 0.245117i \(0.921174\pi\)
\(762\) 12.8621 9.34487i 0.465945 0.338529i
\(763\) 6.43246 + 4.67346i 0.232871 + 0.169190i
\(764\) −0.852776 2.62457i −0.0308523 0.0949537i
\(765\) −8.01817 5.82554i −0.289898 0.210623i
\(766\) 7.27789 22.3990i 0.262961 0.809310i
\(767\) −15.3285 + 47.1762i −0.553479 + 1.70343i
\(768\) −0.480762 1.47963i −0.0173480 0.0533916i
\(769\) −15.1984 −0.548067 −0.274033 0.961720i \(-0.588358\pi\)
−0.274033 + 0.961720i \(0.588358\pi\)
\(770\) −24.6976 −0.890041
\(771\) −6.01982 18.5271i −0.216799 0.667238i
\(772\) 20.3631 14.7947i 0.732884 0.532472i
\(773\) 42.9850 + 31.2304i 1.54606 + 1.12328i 0.946386 + 0.323039i \(0.104704\pi\)
0.599678 + 0.800242i \(0.295296\pi\)
\(774\) 0.286023 0.0102809
\(775\) 34.5125 + 57.8649i 1.23972 + 2.07857i
\(776\)