Properties

Label 62.2.d.b.47.2
Level 62
Weight 2
Character 62.47
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 47.2
Root \(-0.480762 + 1.47963i\)
Character \(\chi\) = 62.47
Dual form 62.2.d.b.33.2

$q$-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 \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\)

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 0.888512 0.458853i \(-0.151740\pi\)
−0.161830 + 0.986819i \(0.551740\pi\)
\(4\) 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 −0.999994 0.00340203i \(-0.998917\pi\)
0.811012 + 0.585030i \(0.198917\pi\)
\(8\) −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 −0.618257 0.785976i \(-0.712161\pi\)
0.962165 0.272466i \(-0.0878392\pi\)
\(12\) 1.25865 0.914463i 0.363341 0.263983i
\(13\) 3.20494 + 2.32852i 0.888890 + 0.645817i 0.935588 0.353092i \(-0.114870\pi\)
−0.0466981 + 0.998909i \(0.514870\pi\)
\(14\) 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 0.977790 + 0.209587i \(0.0672120\pi\)
−0.667856 + 0.744290i \(0.732788\pi\)
\(18\) −0.468872 0.340655i −0.110514 0.0802932i
\(19\) −3.62344 + 2.63259i −0.831275 + 0.603957i −0.919920 0.392107i \(-0.871746\pi\)
0.0886446 + 0.996063i \(0.471746\pi\)
\(20\) −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 0.913941 0.405847i \(-0.133023\pi\)
−0.977945 + 0.208864i \(0.933023\pi\)
\(24\) 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 −0.830973 0.556313i \(-0.812216\pi\)
0.272300 + 0.962212i \(0.412216\pi\)
\(30\) −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 −0.434271 0.900782i \(-0.642994\pi\)
0.722498 + 0.691373i \(0.242994\pi\)
\(42\) −0.777889 + 2.39409i −0.120031 + 0.369417i
\(43\) −0.399266 + 0.290084i −0.0608876 + 0.0442374i −0.617813 0.786325i \(-0.711981\pi\)
0.556925 + 0.830563i \(0.311981\pi\)
\(44\) −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 0.472988 0.881069i \(-0.343175\pi\)
−0.691785 + 0.722103i \(0.743175\pi\)
\(48\) −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 0.947391 0.320079i \(-0.103710\pi\)
−0.954593 + 0.297913i \(0.903710\pi\)
\(54\) −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 −0.999946 0.0103822i \(-0.996695\pi\)
−0.318874 0.947797i \(-0.603305\pi\)
\(60\) −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 0.980158 + 0.198217i \(0.0635149\pi\)
−0.676456 + 0.736483i \(0.736485\pi\)
\(72\) −0.468872 + 0.340655i −0.0552571 + 0.0401466i
\(73\) −0.547152 + 1.68396i −0.0640392 + 0.197093i −0.977957 0.208807i \(-0.933042\pi\)
0.913918 + 0.405900i \(0.133042\pi\)
\(74\) −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 −0.999405 0.0344924i \(-0.989019\pi\)
0.788261 0.615340i \(-0.210981\pi\)
\(80\) 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 −0.181649 0.983364i \(-0.558143\pi\)
0.879102 + 0.476634i \(0.158143\pi\)
\(84\) 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 −0.242343 + 0.970191i \(0.577916\pi\)
−0.374204 + 0.927346i \(0.622084\pi\)
\(90\) 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 −0.964779 0.263062i \(-0.915268\pi\)
0.935147 + 0.354261i \(0.115268\pi\)
\(98\) 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 0.967239 + 0.253869i \(0.0817031\pi\)
−0.633292 + 0.773913i \(0.718297\pi\)
\(102\) 1.98811 + 6.11877i 0.196852 + 0.605849i
\(103\) 11.9134 8.65556i 1.17386 0.852857i 0.182392 0.983226i \(-0.441616\pi\)
0.991466 + 0.130369i \(0.0416161\pi\)
\(104\) 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 0.985826 + 0.167769i \(0.0536562\pi\)
−0.698938 + 0.715182i \(0.746344\pi\)
\(108\) −4.50541 3.27337i −0.433533 0.314980i
\(109\) −3.97548 2.88836i −0.380782 0.276654i 0.380886 0.924622i \(-0.375619\pi\)
−0.761668 + 0.647968i \(0.775619\pi\)
\(110\) 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 −0.596899 0.802317i \(-0.703601\pi\)
0.954491 0.298240i \(-0.0963995\pi\)
\(114\) −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 0.890702 0.454587i \(-0.150213\pi\)
−0.157096 + 0.987583i \(0.550213\pi\)
\(128\) −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 0.567835 + 0.823142i \(0.307781\pi\)
−0.943219 + 0.332171i \(0.892219\pi\)
\(132\) −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 0.601764 0.798674i \(-0.294465\pi\)
−0.573628 + 0.819116i \(0.694465\pi\)
\(138\) −0.477546 1.46974i −0.0406515 0.125112i
\(139\) −14.9307 10.8478i −1.26640 0.920094i −0.267348 0.963600i \(-0.586147\pi\)
−0.999053 + 0.0435055i \(0.986147\pi\)
\(140\) −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 −0.577365 0.816486i \(-0.695919\pi\)
0.947016 0.321185i \(-0.104081\pi\)
\(152\) 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 −0.626845 0.779144i \(-0.715654\pi\)
0.547304 + 0.836934i \(0.315654\pi\)
\(158\) −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 0.836606 0.547805i \(-0.184536\pi\)
−0.998820 + 0.0485612i \(0.984536\pi\)
\(164\) −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 −0.252629 0.967563i \(-0.581295\pi\)
0.842140 + 0.539258i \(0.181295\pi\)
\(168\) 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 0.836995 0.547211i \(-0.184310\pi\)
−0.261783 + 0.965127i \(0.584310\pi\)
\(174\) −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 −0.707089 0.707124i \(-0.749992\pi\)
0.987684 0.156459i \(-0.0500079\pi\)
\(180\) 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 0.122838 + 0.992427i \(0.460801\pi\)
−0.682712 + 0.730688i \(0.739199\pi\)
\(194\) 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 −0.877365 0.479823i \(-0.840701\pi\)
0.991836 + 0.127517i \(0.0407007\pi\)
\(198\) −1.73066 + 1.25740i −0.122992 + 0.0893593i
\(199\) −5.94122 4.31655i −0.421162 0.305992i 0.356943 0.934126i \(-0.383819\pi\)
−0.778105 + 0.628134i \(0.783819\pi\)
\(200\) −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 −0.585251 0.810853i \(-0.699004\pi\)
0.590314 + 0.807174i \(0.299004\pi\)
\(228\) −2.15325 + 6.62701i −0.142602 + 0.438885i
\(229\) 13.6643 9.92771i 0.902963 0.656041i −0.0362620 0.999342i \(-0.511545\pi\)
0.939225 + 0.343301i \(0.111545\pi\)
\(230\) 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 0.127845 0.991794i \(-0.459194\pi\)
−0.903746 + 0.428069i \(0.859194\pi\)
\(234\) −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 −0.988761 0.149505i \(-0.952232\pi\)
0.712047 0.702132i \(-0.247768\pi\)
\(240\) 1.98811 + 6.11877i 0.128332 + 0.394965i
\(241\) −0.0786883 + 0.242178i −0.00506876 + 0.0156000i −0.953559 0.301207i \(-0.902611\pi\)
0.948490 + 0.316807i \(0.102611\pi\)
\(242\) −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 0.999568 0.0293922i \(-0.00935718\pi\)
0.280930 + 0.959728i \(0.409357\pi\)
\(252\) 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 0.996213 + 0.0869411i \(0.0277092\pi\)
−0.754851 + 0.655896i \(0.772291\pi\)
\(258\) −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 0.889288 0.457347i \(-0.151200\pi\)
−0.160158 + 0.987091i \(0.551200\pi\)
\(264\) −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 −0.785595 0.618741i \(-0.787643\pi\)
0.345695 + 0.938347i \(0.387643\pi\)
\(270\) 7.11655 + 21.9025i 0.433100 + 1.33294i
\(271\) −8.28582 25.5011i −0.503328 1.54908i −0.803564 0.595219i \(-0.797065\pi\)
0.300236 0.953865i \(-0.402935\pi\)
\(272\) 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 −0.421362 0.906893i \(-0.638448\pi\)
0.732298 + 0.680984i \(0.238448\pi\)
\(278\) −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 −0.797248 0.603652i \(-0.793712\pi\)
0.327744 + 0.944767i \(0.393712\pi\)
\(282\) −2.33367 1.69551i −0.138968 0.100966i
\(283\) −2.50702 + 7.71580i −0.149027 + 0.458657i −0.997507 0.0705703i \(-0.977518\pi\)
0.848480 + 0.529227i \(0.177518\pi\)
\(284\) 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 −0.999981 0.00608278i \(-0.998064\pi\)
0.805427 0.592695i \(-0.201936\pi\)
\(294\) 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 0.971646 0.236441i \(-0.0759811\pi\)
0.0753859 + 0.997154i \(0.475981\pi\)
\(308\) 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 −0.230549 0.973061i \(-0.574052\pi\)
−0.996679 + 0.0814272i \(0.974052\pi\)
\(314\) −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 −0.566142 0.824307i \(-0.691565\pi\)
0.942535 0.334109i \(-0.108435\pi\)
\(318\) −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 −0.917695 0.397285i \(-0.869952\pi\)
0.0942570 + 0.995548i \(0.469952\pi\)
\(332\) −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 −0.984143 0.177379i \(-0.943238\pi\)
0.900449 + 0.434962i \(0.143238\pi\)
\(338\) 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 0.897305 + 0.441412i \(0.145522\pi\)
−0.466480 + 0.884532i \(0.654478\pi\)
\(350\) 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 −0.348215 + 0.937415i \(0.613212\pi\)
−0.999139 + 0.0414950i \(0.986788\pi\)
\(354\) −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 0.528461 0.848958i \(-0.322769\pi\)
−0.644103 + 0.764939i \(0.722769\pi\)
\(360\) 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 0.798288 + 0.602276i \(0.205739\pi\)
−0.999837 + 0.0180302i \(0.994261\pi\)
\(380\) −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 0.573675 + 0.819083i \(0.305517\pi\)
−0.945558 + 0.325454i \(0.894483\pi\)
\(384\) −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 0.978553 0.205994i \(-0.0660427\pi\)
−0.912746 + 0.408527i \(0.866043\pi\)
\(390\) −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 −0.500738 0.865599i \(-0.666938\pi\)
0.668497 + 0.743715i \(0.266938\pi\)
\(402\) 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 0.398664 0.917097i \(-0.369474\pi\)
−0.749017 + 0.662551i \(0.769474\pi\)
\(420\) −3.21683 9.90038i −0.156965 0.483089i
\(421\) −9.36686 6.80542i −0.456513 0.331676i 0.335649 0.941987i \(-0.391044\pi\)
−0.792162 + 0.610311i \(0.791044\pi\)
\(422\) −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 0.965607 0.260005i \(-0.0837241\pi\)
0.0511099 + 0.998693i \(0.483724\pi\)
\(432\) −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 0.986880 0.161457i \(-0.0516193\pi\)
−0.893304 + 0.449452i \(0.851619\pi\)
\(444\) −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 0.524419 0.851460i \(-0.324283\pi\)
−0.647732 + 0.761868i \(0.724283\pi\)
\(450\) −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 −0.962568 0.271040i \(-0.912632\pi\)
0.619421 0.785059i \(-0.287368\pi\)
\(458\) 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 −0.787845 0.615873i \(-0.788803\pi\)
0.999381 0.0351678i \(-0.0111966\pi\)
\(462\) 7.51709 + 5.46149i 0.349727 + 0.254091i
\(463\) 10.5701 7.67961i 0.491233 0.356902i −0.314425 0.949282i \(-0.601812\pi\)
0.805658 + 0.592381i \(0.201812\pi\)
\(464\) 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 −0.389355 0.921088i \(-0.627302\pi\)
0.755690 + 0.654930i \(0.227302\pi\)
\(468\) −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 0.844860 0.534987i \(-0.179684\pi\)
−0.997964 + 0.0637826i \(0.979684\pi\)
\(480\) 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 0.795260 + 0.606269i \(0.207334\pi\)
−0.287023 + 0.957924i \(0.592666\pi\)
\(488\) 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 0.999013 + 0.0444246i \(0.0141454\pi\)
0.350962 + 0.936390i \(0.385855\pi\)
\(500\) −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 −0.491872 0.870667i \(-0.663687\pi\)
0.909698 0.415270i \(-0.136313\pi\)
\(504\) −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 0.00372000 0.999993i \(-0.498816\pi\)
−0.949900 + 0.312553i \(0.898816\pi\)
\(510\) −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 0.764743 + 0.644336i \(0.222866\pi\)
−0.997421 + 0.0717742i \(0.977134\pi\)
\(524\) 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 0.928122 0.372276i \(-0.121423\pi\)
−0.969685 + 0.244359i \(0.921423\pi\)
\(542\) −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 −0.479600 0.877487i \(-0.659218\pi\)
0.903779 0.428000i \(-0.140782\pi\)
\(548\) 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 −0.937057 0.349176i \(-0.886462\pi\)
0.963336 + 0.268300i \(0.0864617\pi\)
\(570\) 23.3120 16.9372i 0.976433 0.709420i
\(571\) −29.3872 21.3511i −1.22982 0.893514i −0.232940 0.972491i \(-0.574835\pi\)
−0.996876 + 0.0789768i \(0.974835\pi\)
\(572\) −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 −0.766961 0.641694i \(-0.778232\pi\)
0.373284 + 0.927717i \(0.378232\pi\)
\(578\) −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 0.111276 0.993790i \(-0.464506\pi\)
0.979536 + 0.201268i \(0.0645061\pi\)
\(588\) 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 −0.909278 0.416189i \(-0.863365\pi\)
0.980251 + 0.197756i \(0.0633654\pi\)
\(594\) −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 −0.992471 0.122477i \(-0.960916\pi\)
−0.190208 + 0.981744i \(0.560916\pi\)
\(600\) 5.81769 17.9050i 0.237506 0.730969i
\(601\) 25.2107 18.3167i 1.02837 0.747153i 0.0603861 0.998175i \(-0.480767\pi\)
0.967981 + 0.251022i \(0.0807668\pi\)
\(602\) −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 0.712402 0.701771i \(-0.247607\pi\)
−0.447280 + 0.894394i \(0.647607\pi\)
\(608\) 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 0.0289423 + 0.999581i \(0.490786\pi\)
−0.610954 + 0.791666i \(0.709214\pi\)
\(614\) 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 0.850728 0.525607i \(-0.176162\pi\)
−0.236992 + 0.971512i \(0.576162\pi\)
\(618\) 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 −0.986140 0.165916i \(-0.946942\pi\)
0.895327 + 0.445410i \(0.146942\pi\)
\(632\) −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 −0.0607551 0.998153i \(-0.519351\pi\)
0.930525 + 0.366228i \(0.119351\pi\)
\(642\) 4.61692 + 14.2094i 0.182215 + 0.560801i
\(643\) 3.13620 + 9.65224i 0.123680 + 0.380647i 0.993658 0.112443i \(-0.0358674\pi\)
−0.869978 + 0.493090i \(0.835867\pi\)
\(644\) 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 0.736223 + 0.676739i \(0.236608\pi\)
−0.993394 + 0.114753i \(0.963392\pi\)
\(648\) −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 −0.314978 0.949099i \(-0.601997\pi\)
0.805314 + 0.592849i \(0.201997\pi\)
\(654\) −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 −0.922442 0.386136i \(-0.873809\pi\)
0.519306 0.854588i \(-0.326191\pi\)
\(660\) 7.33834 + 22.5851i 0.285644 + 0.879123i
\(661\) 32.1373 23.3491i 1.24999 0.908174i 0.251773 0.967786i \(-0.418986\pi\)
0.998222 + 0.0596123i \(0.0189865\pi\)
\(662\) −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 0.998716 0.0506602i \(-0.0161326\pi\)
−0.837756 + 0.546046i \(0.816133\pi\)
\(674\) 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 −0.984764 0.173895i \(-0.944365\pi\)
0.694478 0.719514i \(-0.255635\pi\)
\(692\) 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 −0.124139 0.992265i \(-0.539617\pi\)
0.905339 + 0.424690i \(0.139617\pi\)
\(702\) 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 −0.981914 0.189326i \(-0.939370\pi\)
0.905668 + 0.423987i \(0.139370\pi\)
\(710\) −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 0.595413 + 0.803420i \(0.296989\pi\)
−0.00946067 + 0.999955i \(0.503011\pi\)
\(728\) 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 0.111351 + 0.993781i \(0.464482\pi\)
−0.674215 + 0.738535i \(0.735518\pi\)
\(734\) −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 −0.525568 0.850751i \(-0.676147\pi\)
0.925253 0.379351i \(-0.123853\pi\)
\(752\) 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 0.366227 0.930526i \(-0.380649\pi\)
−0.771812 + 0.635851i \(0.780649\pi\)
\(758\) 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 −0.969494 0.245117i \(-0.921174\pi\)
0.640261 0.768158i \(-0.278826\pi\)
\(762\) 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 0.599678 0.800242i \(-0.295296\pi\)
0.946386 0.323039i \(-0.104704\pi\)
\(774\) 0.286023 0.0102809
\(775\) 34.5125 57.8649i 1.23972 2.07857i