Properties

Label 99.2.e.e.34.3
Level 99
Weight 2
Character 99.34
Analytic conductor 0.791
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 99 = 3^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 99.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790518980011\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: 8.0.508277025.1
Defining polynomial: \(x^{8} - 3 x^{7} + 5 x^{6} - 15 x^{5} + 21 x^{4} + 3 x^{3} - 22 x^{2} + 3 x + 19\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 34.3
Root \(0.947217 + 0.807294i\) of defining polynomial
Character \(\chi\) \(=\) 99.34
Dual form 99.2.e.e.67.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.447217 - 0.774602i) q^{2} +(1.22553 + 1.22396i) q^{3} +(0.599994 + 1.03922i) q^{4} +(-1.87447 - 3.24667i) q^{5} +(1.49616 - 0.401921i) q^{6} +(-0.725528 + 1.25665i) q^{7} +2.86218 q^{8} +(0.00384004 + 3.00000i) q^{9} +O(q^{10})\) \(q+(0.447217 - 0.774602i) q^{2} +(1.22553 + 1.22396i) q^{3} +(0.599994 + 1.03922i) q^{4} +(-1.87447 - 3.24667i) q^{5} +(1.49616 - 0.401921i) q^{6} +(-0.725528 + 1.25665i) q^{7} +2.86218 q^{8} +(0.00384004 + 3.00000i) q^{9} -3.35317 q^{10} +(-0.500000 + 0.866025i) q^{11} +(-0.536655 + 2.00796i) q^{12} +(-2.87831 - 4.98537i) q^{13} +(0.648937 + 1.12399i) q^{14} +(1.67659 - 6.27316i) q^{15} +(0.0800260 - 0.138609i) q^{16} -4.79655 q^{17} +(2.32552 + 1.33868i) q^{18} +0.702126 q^{19} +(2.24934 - 3.89597i) q^{20} +(-2.42725 + 0.652045i) q^{21} +(0.447217 + 0.774602i) q^{22} +(0.825523 + 1.42985i) q^{23} +(3.50768 + 3.50319i) q^{24} +(-4.52724 + 7.84141i) q^{25} -5.14891 q^{26} +(-3.66717 + 3.68128i) q^{27} -1.74125 q^{28} +(2.15278 - 3.72872i) q^{29} +(-4.10941 - 4.10415i) q^{30} +(1.65278 + 2.86269i) q^{31} +(2.79060 + 4.83346i) q^{32} +(-1.67275 + 0.449358i) q^{33} +(-2.14510 + 3.71542i) q^{34} +5.43991 q^{35} +(-3.11535 + 1.80397i) q^{36} +9.73779 q^{37} +(0.314002 - 0.543868i) q^{38} +(2.57445 - 9.63265i) q^{39} +(-5.36505 - 9.29255i) q^{40} +(-2.12380 - 3.67853i) q^{41} +(-0.580431 + 2.17176i) q^{42} +(2.05278 - 3.55552i) q^{43} -1.19999 q^{44} +(9.73280 - 5.63586i) q^{45} +1.47675 q^{46} +(-0.898274 + 1.55586i) q^{47} +(0.267726 - 0.0719207i) q^{48} +(2.44722 + 4.23870i) q^{49} +(4.04932 + 7.01363i) q^{50} +(-5.87831 - 5.87079i) q^{51} +(3.45393 - 5.98239i) q^{52} -1.15318 q^{53} +(1.21151 + 4.48693i) q^{54} +3.74893 q^{55} +(-2.07659 + 3.59676i) q^{56} +(0.860475 + 0.859374i) q^{57} +(-1.92552 - 3.33509i) q^{58} +(2.32552 + 4.02792i) q^{59} +(7.52513 - 2.02152i) q^{60} +(-1.27447 + 2.20745i) q^{61} +2.95660 q^{62} +(-3.77274 - 2.17176i) q^{63} +5.31212 q^{64} +(-10.7906 + 18.6898i) q^{65} +(-0.400006 + 1.49667i) q^{66} +(-4.47062 - 7.74334i) q^{67} +(-2.87790 - 4.98467i) q^{68} +(-0.738375 + 2.76273i) q^{69} +(2.43282 - 4.21377i) q^{70} +5.14204 q^{71} +(0.0109909 + 8.58653i) q^{72} +10.5378 q^{73} +(4.35490 - 7.54291i) q^{74} +(-15.1458 + 4.06871i) q^{75} +(0.421271 + 0.729663i) q^{76} +(-0.725528 - 1.25665i) q^{77} +(-6.31013 - 6.30206i) q^{78} +(0.543371 - 0.941146i) q^{79} -0.600024 q^{80} +(-8.99997 + 0.0230402i) q^{81} -3.79920 q^{82} +(1.90171 - 3.29386i) q^{83} +(-2.13395 - 2.13122i) q^{84} +(8.99096 + 15.5728i) q^{85} +(-1.83608 - 3.18018i) q^{86} +(7.20210 - 1.93474i) q^{87} +(-1.43109 + 2.47872i) q^{88} -4.01536 q^{89} +(-0.0128763 - 10.0595i) q^{90} +8.35317 q^{91} +(-0.990617 + 1.71580i) q^{92} +(-1.47830 + 5.53125i) q^{93} +(0.803446 + 1.39161i) q^{94} +(-1.31611 - 2.27957i) q^{95} +(-2.49601 + 9.33913i) q^{96} +(-1.64550 + 2.85009i) q^{97} +4.37775 q^{98} +(-2.59999 - 1.49667i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + O(q^{10}) \) \( 8q - q^{2} + 5q^{3} - 11q^{4} - 4q^{5} + 17q^{6} - q^{7} - 5q^{9} + 2q^{10} - 4q^{11} - 2q^{12} - 7q^{13} - q^{14} - q^{15} - 17q^{16} - 10q^{17} - 2q^{18} + 18q^{19} + 10q^{20} - 13q^{21} - q^{22} - 14q^{23} + 18q^{24} - 14q^{25} + 44q^{26} + 5q^{27} - 2q^{28} + 6q^{29} - 37q^{30} + 2q^{31} + 34q^{32} - 4q^{33} - 16q^{34} - 16q^{35} + 11q^{36} + 6q^{37} - 3q^{38} - 22q^{39} - 12q^{40} + 2q^{41} - q^{42} + 21q^{43} + 22q^{44} + 49q^{45} + 4q^{46} + 7q^{47} - 59q^{48} + 15q^{49} - 23q^{50} - 31q^{51} + 10q^{52} - 12q^{53} - 37q^{54} + 8q^{55} - 18q^{56} + 33q^{57} + 21q^{58} - 2q^{59} + 73q^{60} - 15q^{61} - 40q^{62} - 5q^{63} + 32q^{64} - 19q^{65} - 19q^{66} - 14q^{67} + 7q^{68} - 2q^{69} + 38q^{70} - 6q^{71} + 75q^{72} + 44q^{73} + 36q^{74} + 10q^{75} - 42q^{76} - q^{77} + 29q^{78} - 11q^{79} - 68q^{80} + 7q^{81} - 34q^{82} - 18q^{83} + 34q^{84} - 13q^{85} + 24q^{86} - 9q^{87} - 12q^{89} - 80q^{90} + 38q^{91} - 67q^{92} + 20q^{93} + 19q^{94} + 30q^{95} - 50q^{96} - 26q^{97} + 30q^{98} - 5q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/99\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.447217 0.774602i 0.316230 0.547727i −0.663468 0.748205i \(-0.730916\pi\)
0.979698 + 0.200478i \(0.0642495\pi\)
\(3\) 1.22553 + 1.22396i 0.707559 + 0.706654i
\(4\) 0.599994 + 1.03922i 0.299997 + 0.519610i
\(5\) −1.87447 3.24667i −0.838287 1.45195i −0.891326 0.453362i \(-0.850224\pi\)
0.0530397 0.998592i \(-0.483109\pi\)
\(6\) 1.49616 0.401921i 0.610805 0.164084i
\(7\) −0.725528 + 1.25665i −0.274224 + 0.474970i −0.969939 0.243348i \(-0.921754\pi\)
0.695715 + 0.718318i \(0.255088\pi\)
\(8\) 2.86218 1.01193
\(9\) 0.00384004 + 3.00000i 0.00128001 + 0.999999i
\(10\) −3.35317 −1.06037
\(11\) −0.500000 + 0.866025i −0.150756 + 0.261116i
\(12\) −0.536655 + 2.00796i −0.154919 + 0.579649i
\(13\) −2.87831 4.98537i −0.798298 1.38269i −0.920724 0.390216i \(-0.872400\pi\)
0.122425 0.992478i \(-0.460933\pi\)
\(14\) 0.648937 + 1.12399i 0.173436 + 0.300400i
\(15\) 1.67659 6.27316i 0.432892 1.61972i
\(16\) 0.0800260 0.138609i 0.0200065 0.0346523i
\(17\) −4.79655 −1.16333 −0.581667 0.813427i \(-0.697599\pi\)
−0.581667 + 0.813427i \(0.697599\pi\)
\(18\) 2.32552 + 1.33868i 0.548131 + 0.315529i
\(19\) 0.702126 0.161079 0.0805393 0.996751i \(-0.474336\pi\)
0.0805393 + 0.996751i \(0.474336\pi\)
\(20\) 2.24934 3.89597i 0.502967 0.871164i
\(21\) −2.42725 + 0.652045i −0.529669 + 0.142288i
\(22\) 0.447217 + 0.774602i 0.0953470 + 0.165146i
\(23\) 0.825523 + 1.42985i 0.172133 + 0.298144i 0.939165 0.343465i \(-0.111601\pi\)
−0.767032 + 0.641609i \(0.778267\pi\)
\(24\) 3.50768 + 3.50319i 0.716002 + 0.715086i
\(25\) −4.52724 + 7.84141i −0.905449 + 1.56828i
\(26\) −5.14891 −1.00978
\(27\) −3.66717 + 3.68128i −0.705748 + 0.708463i
\(28\) −1.74125 −0.329066
\(29\) 2.15278 3.72872i 0.399761 0.692406i −0.593935 0.804513i \(-0.702427\pi\)
0.993696 + 0.112107i \(0.0357599\pi\)
\(30\) −4.10941 4.10415i −0.750272 0.749312i
\(31\) 1.65278 + 2.86269i 0.296848 + 0.514155i 0.975413 0.220385i \(-0.0707313\pi\)
−0.678565 + 0.734540i \(0.737398\pi\)
\(32\) 2.79060 + 4.83346i 0.493313 + 0.854443i
\(33\) −1.67275 + 0.449358i −0.291188 + 0.0782233i
\(34\) −2.14510 + 3.71542i −0.367881 + 0.637189i
\(35\) 5.43991 0.919513
\(36\) −3.11535 + 1.80397i −0.519226 + 0.300662i
\(37\) 9.73779 1.60088 0.800441 0.599411i \(-0.204599\pi\)
0.800441 + 0.599411i \(0.204599\pi\)
\(38\) 0.314002 0.543868i 0.0509379 0.0882271i
\(39\) 2.57445 9.63265i 0.412243 1.54246i
\(40\) −5.36505 9.29255i −0.848289 1.46928i
\(41\) −2.12380 3.67853i −0.331682 0.574490i 0.651160 0.758941i \(-0.274283\pi\)
−0.982842 + 0.184450i \(0.940949\pi\)
\(42\) −0.580431 + 2.17176i −0.0895625 + 0.335110i
\(43\) 2.05278 3.55552i 0.313046 0.542212i −0.665974 0.745975i \(-0.731984\pi\)
0.979020 + 0.203763i \(0.0653171\pi\)
\(44\) −1.19999 −0.180905
\(45\) 9.73280 5.63586i 1.45088 0.840144i
\(46\) 1.47675 0.217735
\(47\) −0.898274 + 1.55586i −0.131027 + 0.226945i −0.924073 0.382217i \(-0.875161\pi\)
0.793046 + 0.609162i \(0.208494\pi\)
\(48\) 0.267726 0.0719207i 0.0386429 0.0103809i
\(49\) 2.44722 + 4.23870i 0.349602 + 0.605529i
\(50\) 4.04932 + 7.01363i 0.572660 + 0.991877i
\(51\) −5.87831 5.87079i −0.823127 0.822074i
\(52\) 3.45393 5.98239i 0.478974 0.829608i
\(53\) −1.15318 −0.158402 −0.0792009 0.996859i \(-0.525237\pi\)
−0.0792009 + 0.996859i \(0.525237\pi\)
\(54\) 1.21151 + 4.48693i 0.164865 + 0.610594i
\(55\) 3.74893 0.505506
\(56\) −2.07659 + 3.59676i −0.277496 + 0.480637i
\(57\) 0.860475 + 0.859374i 0.113973 + 0.113827i
\(58\) −1.92552 3.33509i −0.252833 0.437919i
\(59\) 2.32552 + 4.02792i 0.302757 + 0.524391i 0.976759 0.214338i \(-0.0687595\pi\)
−0.674002 + 0.738729i \(0.735426\pi\)
\(60\) 7.52513 2.02152i 0.971491 0.260977i
\(61\) −1.27447 + 2.20745i −0.163179 + 0.282635i −0.936007 0.351981i \(-0.885508\pi\)
0.772828 + 0.634616i \(0.218842\pi\)
\(62\) 2.95660 0.375489
\(63\) −3.77274 2.17176i −0.475320 0.273616i
\(64\) 5.31212 0.664015
\(65\) −10.7906 + 18.6898i −1.33841 + 2.31819i
\(66\) −0.400006 + 1.49667i −0.0492373 + 0.184228i
\(67\) −4.47062 7.74334i −0.546173 0.946000i −0.998532 0.0541636i \(-0.982751\pi\)
0.452359 0.891836i \(-0.350583\pi\)
\(68\) −2.87790 4.98467i −0.348997 0.604480i
\(69\) −0.738375 + 2.76273i −0.0888899 + 0.332593i
\(70\) 2.43282 4.21377i 0.290778 0.503642i
\(71\) 5.14204 0.610248 0.305124 0.952313i \(-0.401302\pi\)
0.305124 + 0.952313i \(0.401302\pi\)
\(72\) 0.0109909 + 8.58653i 0.00129529 + 1.01193i
\(73\) 10.5378 1.23336 0.616678 0.787215i \(-0.288478\pi\)
0.616678 + 0.787215i \(0.288478\pi\)
\(74\) 4.35490 7.54291i 0.506247 0.876846i
\(75\) −15.1458 + 4.06871i −1.74889 + 0.469814i
\(76\) 0.421271 + 0.729663i 0.0483231 + 0.0836981i
\(77\) −0.725528 1.25665i −0.0826816 0.143209i
\(78\) −6.31013 6.30206i −0.714482 0.713568i
\(79\) 0.543371 0.941146i 0.0611340 0.105887i −0.833839 0.552008i \(-0.813862\pi\)
0.894973 + 0.446121i \(0.147195\pi\)
\(80\) −0.600024 −0.0670847
\(81\) −8.99997 + 0.0230402i −0.999997 + 0.00256002i
\(82\) −3.79920 −0.419552
\(83\) 1.90171 3.29386i 0.208740 0.361548i −0.742578 0.669759i \(-0.766397\pi\)
0.951318 + 0.308212i \(0.0997305\pi\)
\(84\) −2.13395 2.13122i −0.232833 0.232536i
\(85\) 8.99096 + 15.5728i 0.975207 + 1.68911i
\(86\) −1.83608 3.18018i −0.197989 0.342928i
\(87\) 7.20210 1.93474i 0.772146 0.207426i
\(88\) −1.43109 + 2.47872i −0.152555 + 0.264232i
\(89\) −4.01536 −0.425627 −0.212814 0.977093i \(-0.568263\pi\)
−0.212814 + 0.977093i \(0.568263\pi\)
\(90\) −0.0128763 10.0595i −0.00135728 1.06036i
\(91\) 8.35317 0.875650
\(92\) −0.990617 + 1.71580i −0.103279 + 0.178884i
\(93\) −1.47830 + 5.53125i −0.153293 + 0.573564i
\(94\) 0.803446 + 1.39161i 0.0828692 + 0.143534i
\(95\) −1.31611 2.27957i −0.135030 0.233879i
\(96\) −2.49601 + 9.33913i −0.254748 + 0.953171i
\(97\) −1.64550 + 2.85009i −0.167075 + 0.289383i −0.937390 0.348280i \(-0.886766\pi\)
0.770315 + 0.637664i \(0.220099\pi\)
\(98\) 4.37775 0.442219
\(99\) −2.59999 1.49667i −0.261309 0.150421i
\(100\) −10.8653 −1.08653
\(101\) −7.09653 + 12.2916i −0.706131 + 1.22305i 0.260151 + 0.965568i \(0.416228\pi\)
−0.966282 + 0.257487i \(0.917106\pi\)
\(102\) −7.17640 + 1.92783i −0.710570 + 0.190884i
\(103\) −9.58885 16.6084i −0.944817 1.63647i −0.756116 0.654437i \(-0.772906\pi\)
−0.188701 0.982035i \(-0.560428\pi\)
\(104\) −8.23822 14.2690i −0.807824 1.39919i
\(105\) 6.66677 + 6.65824i 0.650610 + 0.649778i
\(106\) −0.515723 + 0.893258i −0.0500914 + 0.0867609i
\(107\) −10.0034 −0.967066 −0.483533 0.875326i \(-0.660647\pi\)
−0.483533 + 0.875326i \(0.660647\pi\)
\(108\) −6.02595 1.60225i −0.579847 0.154177i
\(109\) −7.40766 −0.709525 −0.354762 0.934956i \(-0.615438\pi\)
−0.354762 + 0.934956i \(0.615438\pi\)
\(110\) 1.67659 2.90393i 0.159856 0.276879i
\(111\) 11.9339 + 11.9187i 1.13272 + 1.13127i
\(112\) 0.116122 + 0.201130i 0.0109725 + 0.0190050i
\(113\) −0.821683 1.42320i −0.0772974 0.133883i 0.824786 0.565446i \(-0.191296\pi\)
−0.902083 + 0.431563i \(0.857962\pi\)
\(114\) 1.05049 0.282199i 0.0983876 0.0264304i
\(115\) 3.09483 5.36040i 0.288594 0.499860i
\(116\) 5.16661 0.479708
\(117\) 14.9450 8.65405i 1.38167 0.800068i
\(118\) 4.16005 0.382964
\(119\) 3.48003 6.02759i 0.319014 0.552548i
\(120\) 4.79869 17.9549i 0.438058 1.63905i
\(121\) −0.500000 0.866025i −0.0454545 0.0787296i
\(122\) 1.13993 + 1.97442i 0.103204 + 0.178755i
\(123\) 1.89960 7.10760i 0.171281 0.640871i
\(124\) −1.98331 + 3.43520i −0.178107 + 0.308490i
\(125\) 15.2000 1.35953
\(126\) −3.36948 + 1.95113i −0.300177 + 0.173820i
\(127\) −22.3309 −1.98155 −0.990773 0.135534i \(-0.956725\pi\)
−0.990773 + 0.135534i \(0.956725\pi\)
\(128\) −3.20553 + 5.55214i −0.283332 + 0.490745i
\(129\) 6.86757 1.84487i 0.604656 0.162432i
\(130\) 9.65145 + 16.7168i 0.846488 + 1.46616i
\(131\) 4.89443 + 8.47741i 0.427629 + 0.740675i 0.996662 0.0816400i \(-0.0260158\pi\)
−0.569033 + 0.822315i \(0.692682\pi\)
\(132\) −1.47062 1.46874i −0.128001 0.127837i
\(133\) −0.509412 + 0.882328i −0.0441716 + 0.0765075i
\(134\) −7.99735 −0.690866
\(135\) 18.8259 + 5.00566i 1.62028 + 0.430819i
\(136\) −13.7286 −1.17722
\(137\) 1.18811 2.05786i 0.101507 0.175815i −0.810799 0.585325i \(-0.800967\pi\)
0.912306 + 0.409510i \(0.134300\pi\)
\(138\) 1.80980 + 1.80748i 0.154060 + 0.153863i
\(139\) 5.74336 + 9.94779i 0.487145 + 0.843761i 0.999891 0.0147802i \(-0.00470485\pi\)
−0.512745 + 0.858541i \(0.671372\pi\)
\(140\) 3.26392 + 5.65327i 0.275851 + 0.477788i
\(141\) −3.00517 + 0.807294i −0.253081 + 0.0679864i
\(142\) 2.29961 3.98304i 0.192979 0.334249i
\(143\) 5.75661 0.481392
\(144\) 0.416134 + 0.239545i 0.0346778 + 0.0199621i
\(145\) −16.1412 −1.34046
\(146\) 4.71268 8.16260i 0.390024 0.675542i
\(147\) −2.18887 + 8.18995i −0.180535 + 0.675496i
\(148\) 5.84261 + 10.1197i 0.480260 + 0.831835i
\(149\) 0.350657 + 0.607357i 0.0287270 + 0.0497566i 0.880031 0.474915i \(-0.157521\pi\)
−0.851305 + 0.524672i \(0.824188\pi\)
\(150\) −3.62185 + 13.5516i −0.295723 + 1.10648i
\(151\) 1.25277 2.16986i 0.101949 0.176581i −0.810539 0.585685i \(-0.800825\pi\)
0.912488 + 0.409104i \(0.134159\pi\)
\(152\) 2.00961 0.163001
\(153\) −0.0184189 14.3896i −0.00148908 1.16333i
\(154\) −1.29787 −0.104586
\(155\) 6.19615 10.7320i 0.497687 0.862018i
\(156\) 11.5551 3.10411i 0.925148 0.248527i
\(157\) −2.21785 3.84143i −0.177004 0.306579i 0.763849 0.645395i \(-0.223307\pi\)
−0.940853 + 0.338816i \(0.889974\pi\)
\(158\) −0.486009 0.841793i −0.0386648 0.0669694i
\(159\) −1.41326 1.41145i −0.112079 0.111935i
\(160\) 10.4618 18.1203i 0.827075 1.43254i
\(161\) −2.39576 −0.188812
\(162\) −4.00709 + 6.98170i −0.314827 + 0.548534i
\(163\) 17.6986 1.38626 0.693131 0.720812i \(-0.256231\pi\)
0.693131 + 0.720812i \(0.256231\pi\)
\(164\) 2.54854 4.41420i 0.199007 0.344691i
\(165\) 4.59442 + 4.58854i 0.357675 + 0.357218i
\(166\) −1.70095 2.94614i −0.132020 0.228664i
\(167\) 4.45065 + 7.70875i 0.344402 + 0.596521i 0.985245 0.171151i \(-0.0547484\pi\)
−0.640843 + 0.767672i \(0.721415\pi\)
\(168\) −6.94722 + 1.86627i −0.535989 + 0.143986i
\(169\) −10.0693 + 17.4405i −0.774561 + 1.34158i
\(170\) 16.0836 1.23356
\(171\) 0.00269619 + 2.10638i 0.000206183 + 0.161079i
\(172\) 4.92663 0.375652
\(173\) 12.3654 21.4176i 0.940126 1.62835i 0.174899 0.984586i \(-0.444040\pi\)
0.765228 0.643760i \(-0.222626\pi\)
\(174\) 1.72225 6.44401i 0.130563 0.488519i
\(175\) −6.56929 11.3783i −0.496591 0.860122i
\(176\) 0.0800260 + 0.138609i 0.00603218 + 0.0104480i
\(177\) −2.08003 + 7.78268i −0.156344 + 0.584982i
\(178\) −1.79574 + 3.11031i −0.134596 + 0.233127i
\(179\) −11.8587 −0.886362 −0.443181 0.896432i \(-0.646150\pi\)
−0.443181 + 0.896432i \(0.646150\pi\)
\(180\) 11.6965 + 6.73304i 0.871807 + 0.501851i
\(181\) −4.94546 −0.367593 −0.183796 0.982964i \(-0.558839\pi\)
−0.183796 + 0.982964i \(0.558839\pi\)
\(182\) 3.73568 6.47039i 0.276907 0.479617i
\(183\) −4.26373 + 1.14539i −0.315184 + 0.0846696i
\(184\) 2.36279 + 4.09248i 0.174187 + 0.301701i
\(185\) −18.2531 31.6154i −1.34200 2.32441i
\(186\) 3.62340 + 3.61876i 0.265680 + 0.265340i
\(187\) 2.39827 4.15393i 0.175379 0.303766i
\(188\) −2.15584 −0.157230
\(189\) −1.96545 7.27924i −0.142966 0.529487i
\(190\) −2.35435 −0.170802
\(191\) −0.161784 + 0.280218i −0.0117063 + 0.0202759i −0.871819 0.489828i \(-0.837060\pi\)
0.860113 + 0.510104i \(0.170393\pi\)
\(192\) 6.51015 + 6.50182i 0.469830 + 0.469229i
\(193\) −7.20767 12.4840i −0.518819 0.898621i −0.999761 0.0218687i \(-0.993038\pi\)
0.480942 0.876753i \(-0.340295\pi\)
\(194\) 1.47179 + 2.54922i 0.105669 + 0.183023i
\(195\) −36.0998 + 9.69767i −2.58516 + 0.694464i
\(196\) −2.93663 + 5.08639i −0.209759 + 0.363314i
\(197\) −18.3267 −1.30572 −0.652860 0.757478i \(-0.726431\pi\)
−0.652860 + 0.757478i \(0.726431\pi\)
\(198\) −2.32209 + 1.34462i −0.165024 + 0.0955583i
\(199\) −1.51211 −0.107190 −0.0535951 0.998563i \(-0.517068\pi\)
−0.0535951 + 0.998563i \(0.517068\pi\)
\(200\) −12.9578 + 22.4435i −0.916253 + 1.58700i
\(201\) 3.99867 14.9615i 0.282045 1.05531i
\(202\) 6.34738 + 10.9940i 0.446600 + 0.773534i
\(203\) 3.12380 + 5.41058i 0.219248 + 0.379749i
\(204\) 2.57409 9.63129i 0.180222 0.674325i
\(205\) −7.96199 + 13.7906i −0.556089 + 0.963175i
\(206\) −17.1532 −1.19512
\(207\) −4.28637 + 2.48206i −0.297923 + 0.172515i
\(208\) −0.921357 −0.0638846
\(209\) −0.351063 + 0.608059i −0.0242835 + 0.0420603i
\(210\) 8.13898 2.18642i 0.561643 0.150877i
\(211\) 5.51111 + 9.54553i 0.379401 + 0.657141i 0.990975 0.134045i \(-0.0427968\pi\)
−0.611574 + 0.791187i \(0.709463\pi\)
\(212\) −0.691903 1.19841i −0.0475201 0.0823072i
\(213\) 6.30171 + 6.29365i 0.431786 + 0.431234i
\(214\) −4.47369 + 7.74866i −0.305815 + 0.529688i
\(215\) −15.3915 −1.04969
\(216\) −10.4961 + 10.5365i −0.714169 + 0.716917i
\(217\) −4.79655 −0.325611
\(218\) −3.31283 + 5.73799i −0.224373 + 0.388626i
\(219\) 12.9144 + 12.8979i 0.872672 + 0.871556i
\(220\) 2.24934 + 3.89597i 0.151650 + 0.262666i
\(221\) 13.8059 + 23.9126i 0.928687 + 1.60853i
\(222\) 14.5693 3.91382i 0.977827 0.262679i
\(223\) 11.6566 20.1899i 0.780585 1.35201i −0.151017 0.988531i \(-0.548255\pi\)
0.931601 0.363481i \(-0.118412\pi\)
\(224\) −8.09864 −0.541113
\(225\) −23.5416 13.5516i −1.56944 0.903440i
\(226\) −1.46988 −0.0977750
\(227\) −2.98944 + 5.17787i −0.198416 + 0.343667i −0.948015 0.318225i \(-0.896913\pi\)
0.749599 + 0.661893i \(0.230246\pi\)
\(228\) −0.376799 + 1.40984i −0.0249541 + 0.0933691i
\(229\) −4.71228 8.16190i −0.311396 0.539354i 0.667269 0.744817i \(-0.267463\pi\)
−0.978665 + 0.205463i \(0.934130\pi\)
\(230\) −2.76812 4.79452i −0.182524 0.316141i
\(231\) 0.648937 2.42808i 0.0426969 0.159756i
\(232\) 6.16163 10.6723i 0.404531 0.700668i
\(233\) 27.1685 1.77987 0.889933 0.456091i \(-0.150751\pi\)
0.889933 + 0.456091i \(0.150751\pi\)
\(234\) −0.0197720 15.4467i −0.00129254 1.00978i
\(235\) 6.73513 0.439352
\(236\) −2.79060 + 4.83346i −0.181653 + 0.314631i
\(237\) 1.81784 0.488337i 0.118082 0.0317209i
\(238\) −3.11266 5.39128i −0.201764 0.349465i
\(239\) −0.121289 0.210079i −0.00784553 0.0135889i 0.862076 0.506779i \(-0.169164\pi\)
−0.869922 + 0.493190i \(0.835831\pi\)
\(240\) −0.735346 0.734405i −0.0474664 0.0474057i
\(241\) 6.35528 11.0077i 0.409379 0.709066i −0.585441 0.810715i \(-0.699079\pi\)
0.994820 + 0.101649i \(0.0324119\pi\)
\(242\) −0.894434 −0.0574964
\(243\) −11.0579 10.9874i −0.709366 0.704840i
\(244\) −3.05870 −0.195813
\(245\) 9.17445 15.8906i 0.586134 1.01521i
\(246\) −4.65603 4.65007i −0.296858 0.296478i
\(247\) −2.02093 3.50036i −0.128589 0.222722i
\(248\) 4.73054 + 8.19354i 0.300390 + 0.520290i
\(249\) 6.36215 1.70910i 0.403185 0.108310i
\(250\) 6.79769 11.7739i 0.429924 0.744650i
\(251\) 23.6134 1.49046 0.745232 0.666805i \(-0.232339\pi\)
0.745232 + 0.666805i \(0.232339\pi\)
\(252\) −0.00668647 5.22375i −0.000421208 0.329065i
\(253\) −1.65105 −0.103800
\(254\) −9.98675 + 17.2976i −0.626624 + 1.08535i
\(255\) −8.04182 + 30.0895i −0.503598 + 1.88428i
\(256\) 8.17925 + 14.1669i 0.511203 + 0.885430i
\(257\) −2.05836 3.56518i −0.128397 0.222390i 0.794659 0.607056i \(-0.207650\pi\)
−0.923056 + 0.384667i \(0.874316\pi\)
\(258\) 1.64225 6.14469i 0.102242 0.382552i
\(259\) −7.06504 + 12.2370i −0.439000 + 0.760371i
\(260\) −25.8971 −1.60607
\(261\) 11.1944 + 6.44401i 0.692917 + 0.398874i
\(262\) 8.75549 0.540916
\(263\) 5.79614 10.0392i 0.357405 0.619044i −0.630121 0.776497i \(-0.716995\pi\)
0.987527 + 0.157452i \(0.0503281\pi\)
\(264\) −4.78769 + 1.28614i −0.294662 + 0.0791567i
\(265\) 2.16160 + 3.74400i 0.132786 + 0.229992i
\(266\) 0.455635 + 0.789184i 0.0279368 + 0.0483880i
\(267\) −4.92094 4.91464i −0.301157 0.300771i
\(268\) 5.36469 9.29192i 0.327701 0.567594i
\(269\) −6.82534 −0.416148 −0.208074 0.978113i \(-0.566720\pi\)
−0.208074 + 0.978113i \(0.566720\pi\)
\(270\) 12.2967 12.3440i 0.748351 0.751230i
\(271\) −7.57539 −0.460172 −0.230086 0.973170i \(-0.573901\pi\)
−0.230086 + 0.973170i \(0.573901\pi\)
\(272\) −0.383848 + 0.664845i −0.0232742 + 0.0403121i
\(273\) 10.2370 + 10.2240i 0.619574 + 0.618782i
\(274\) −1.06268 1.84062i −0.0641989 0.111196i
\(275\) −4.52724 7.84141i −0.273003 0.472855i
\(276\) −3.31410 + 0.890284i −0.199485 + 0.0535888i
\(277\) 9.40168 16.2842i 0.564892 0.978422i −0.432168 0.901793i \(-0.642251\pi\)
0.997060 0.0766286i \(-0.0244156\pi\)
\(278\) 10.2741 0.616200
\(279\) −8.58173 + 4.96932i −0.513775 + 0.297505i
\(280\) 15.5700 0.930485
\(281\) −12.4416 + 21.5495i −0.742205 + 1.28554i 0.209285 + 0.977855i \(0.432886\pi\)
−0.951489 + 0.307681i \(0.900447\pi\)
\(282\) −0.718630 + 2.68884i −0.0427938 + 0.160118i
\(283\) 9.07061 + 15.7108i 0.539192 + 0.933908i 0.998948 + 0.0458626i \(0.0146036\pi\)
−0.459756 + 0.888045i \(0.652063\pi\)
\(284\) 3.08519 + 5.34371i 0.183073 + 0.317091i
\(285\) 1.17717 4.40455i 0.0697297 0.260903i
\(286\) 2.57445 4.45908i 0.152231 0.263671i
\(287\) 6.16352 0.363821
\(288\) −14.4897 + 8.39035i −0.853811 + 0.494406i
\(289\) 6.00687 0.353345
\(290\) −7.21863 + 12.5030i −0.423893 + 0.734203i
\(291\) −5.50501 + 1.47884i −0.322710 + 0.0866912i
\(292\) 6.32262 + 10.9511i 0.370003 + 0.640864i
\(293\) 8.03876 + 13.9235i 0.469630 + 0.813422i 0.999397 0.0347207i \(-0.0110542\pi\)
−0.529768 + 0.848143i \(0.677721\pi\)
\(294\) 5.36505 + 5.35819i 0.312896 + 0.312496i
\(295\) 8.71822 15.1004i 0.507595 0.879180i
\(296\) 27.8713 1.61998
\(297\) −1.35450 5.01651i −0.0785959 0.291087i
\(298\) 0.627280 0.0363373
\(299\) 4.75221 8.23107i 0.274828 0.476015i
\(300\) −13.3157 13.2987i −0.768783 0.767799i
\(301\) 2.97871 + 5.15927i 0.171690 + 0.297375i
\(302\) −1.12052 1.94080i −0.0644787 0.111680i
\(303\) −23.7414 + 6.37777i −1.36391 + 0.366393i
\(304\) 0.0561883 0.0973209i 0.00322262 0.00558174i
\(305\) 9.55581 0.547164
\(306\) −11.1545 6.42102i −0.637659 0.367065i
\(307\) −20.1343 −1.14913 −0.574563 0.818461i \(-0.694828\pi\)
−0.574563 + 0.818461i \(0.694828\pi\)
\(308\) 0.870626 1.50797i 0.0496085 0.0859244i
\(309\) 8.57659 32.0904i 0.487905 1.82556i
\(310\) −5.54204 9.59910i −0.314767 0.545192i
\(311\) 6.51226 + 11.2796i 0.369276 + 0.639605i 0.989453 0.144857i \(-0.0462723\pi\)
−0.620176 + 0.784462i \(0.712939\pi\)
\(312\) 7.36854 27.5703i 0.417162 1.56086i
\(313\) −5.12591 + 8.87834i −0.289734 + 0.501833i −0.973746 0.227637i \(-0.926900\pi\)
0.684012 + 0.729470i \(0.260233\pi\)
\(314\) −3.96744 −0.223895
\(315\) 0.0208895 + 16.3197i 0.00117699 + 0.919512i
\(316\) 1.30408 0.0733601
\(317\) 5.50882 9.54156i 0.309406 0.535908i −0.668826 0.743419i \(-0.733203\pi\)
0.978233 + 0.207511i \(0.0665363\pi\)
\(318\) −1.72535 + 0.463489i −0.0967526 + 0.0259912i
\(319\) 2.15278 + 3.72872i 0.120532 + 0.208768i
\(320\) −9.95738 17.2467i −0.556635 0.964119i
\(321\) −12.2595 12.2438i −0.684256 0.683381i
\(322\) −1.07142 + 1.85576i −0.0597082 + 0.103418i
\(323\) −3.36778 −0.187388
\(324\) −5.42387 9.33913i −0.301326 0.518840i
\(325\) 52.1232 2.89127
\(326\) 7.91511 13.7094i 0.438378 0.759292i
\(327\) −9.07829 9.06668i −0.502031 0.501389i
\(328\) −6.07870 10.5286i −0.335640 0.581346i
\(329\) −1.30345 2.25764i −0.0718613 0.124467i
\(330\) 5.60900 1.50678i 0.308765 0.0829453i
\(331\) 9.07216 15.7134i 0.498651 0.863689i −0.501348 0.865246i \(-0.667162\pi\)
0.999999 + 0.00155679i \(0.000495541\pi\)
\(332\) 4.56406 0.250485
\(333\) 0.0373935 + 29.2133i 0.00204915 + 1.60088i
\(334\) 7.96163 0.435641
\(335\) −16.7600 + 29.0293i −0.915699 + 1.58604i
\(336\) −0.103864 + 0.388619i −0.00566623 + 0.0212009i
\(337\) 0.839543 + 1.45413i 0.0457328 + 0.0792115i 0.887986 0.459871i \(-0.152104\pi\)
−0.842253 + 0.539083i \(0.818771\pi\)
\(338\) 9.00631 + 15.5994i 0.489879 + 0.848495i
\(339\) 0.734941 2.74987i 0.0399165 0.149353i
\(340\) −10.7891 + 18.6872i −0.585118 + 1.01345i
\(341\) −3.30555 −0.179006
\(342\) 1.63281 + 0.939918i 0.0882922 + 0.0508250i
\(343\) −17.2595 −0.931925
\(344\) 5.87543 10.1765i 0.316782 0.548682i
\(345\) 10.3537 2.78137i 0.557425 0.149744i
\(346\) −11.0601 19.1566i −0.594592 1.02986i
\(347\) 9.39059 + 16.2650i 0.504113 + 0.873150i 0.999989 + 0.00475637i \(0.00151401\pi\)
−0.495875 + 0.868394i \(0.665153\pi\)
\(348\) 6.33183 + 6.32373i 0.339422 + 0.338988i
\(349\) −16.2545 + 28.1536i −0.870082 + 1.50703i −0.00817109 + 0.999967i \(0.502601\pi\)
−0.861911 + 0.507060i \(0.830732\pi\)
\(350\) −11.7516 −0.628149
\(351\) 28.9078 + 7.68637i 1.54298 + 0.410268i
\(352\) −5.58120 −0.297479
\(353\) −3.35487 + 5.81081i −0.178562 + 0.309278i −0.941388 0.337325i \(-0.890478\pi\)
0.762826 + 0.646603i \(0.223811\pi\)
\(354\) 5.09826 + 5.09174i 0.270970 + 0.270623i
\(355\) −9.63857 16.6945i −0.511562 0.886052i
\(356\) −2.40919 4.17284i −0.127687 0.221160i
\(357\) 11.6424 3.12756i 0.616182 0.165528i
\(358\) −5.30342 + 9.18579i −0.280294 + 0.485484i
\(359\) 14.7797 0.780040 0.390020 0.920806i \(-0.372468\pi\)
0.390020 + 0.920806i \(0.372468\pi\)
\(360\) 27.8570 16.1308i 1.46819 0.850169i
\(361\) −18.5070 −0.974054
\(362\) −2.21169 + 3.83076i −0.116244 + 0.201340i
\(363\) 0.447217 1.67332i 0.0234728 0.0878265i
\(364\) 5.01185 + 8.68078i 0.262692 + 0.454997i
\(365\) −19.7527 34.2128i −1.03391 1.79078i
\(366\) −1.01959 + 3.81493i −0.0532949 + 0.199410i
\(367\) −13.2934 + 23.0249i −0.693912 + 1.20189i 0.276634 + 0.960975i \(0.410781\pi\)
−0.970546 + 0.240916i \(0.922552\pi\)
\(368\) 0.264253 0.0137751
\(369\) 11.0274 6.38553i 0.574065 0.332417i
\(370\) −32.6525 −1.69752
\(371\) 0.836667 1.44915i 0.0434376 0.0752361i
\(372\) −6.63516 + 1.78244i −0.344017 + 0.0924150i
\(373\) −11.7781 20.4003i −0.609848 1.05629i −0.991265 0.131885i \(-0.957897\pi\)
0.381417 0.924403i \(-0.375436\pi\)
\(374\) −2.14510 3.71542i −0.110920 0.192120i
\(375\) 18.6280 + 18.6042i 0.961947 + 0.960716i
\(376\) −2.57102 + 4.45314i −0.132590 + 0.229653i
\(377\) −24.7854 −1.27651
\(378\) −6.51750 1.73295i −0.335224 0.0891335i
\(379\) 31.6536 1.62594 0.812969 0.582307i \(-0.197850\pi\)
0.812969 + 0.582307i \(0.197850\pi\)
\(380\) 1.57932 2.73546i 0.0810173 0.140326i
\(381\) −27.3671 27.3321i −1.40206 1.40027i
\(382\) 0.144705 + 0.250637i 0.00740375 + 0.0128237i
\(383\) 17.9220 + 31.0419i 0.915773 + 1.58616i 0.805766 + 0.592234i \(0.201754\pi\)
0.110006 + 0.993931i \(0.464913\pi\)
\(384\) −10.7241 + 2.88086i −0.547261 + 0.147013i
\(385\) −2.71996 + 4.71110i −0.138622 + 0.240100i
\(386\) −12.8936 −0.656265
\(387\) 10.6744 + 6.14469i 0.542613 + 0.312352i
\(388\) −3.94917 −0.200489
\(389\) −1.96084 + 3.39628i −0.0994188 + 0.172198i −0.911444 0.411424i \(-0.865032\pi\)
0.812025 + 0.583622i \(0.198365\pi\)
\(390\) −8.63258 + 32.2999i −0.437128 + 1.63557i
\(391\) −3.95966 6.85833i −0.200249 0.346841i
\(392\) 7.00437 + 12.1319i 0.353774 + 0.612755i
\(393\) −4.37775 + 16.3799i −0.220828 + 0.826257i
\(394\) −8.19599 + 14.1959i −0.412908 + 0.715178i
\(395\) −4.07412 −0.204991
\(396\) −0.00460800 3.59996i −0.000231561 0.180905i
\(397\) −3.90292 −0.195882 −0.0979411 0.995192i \(-0.531226\pi\)
−0.0979411 + 0.995192i \(0.531226\pi\)
\(398\) −0.676239 + 1.17128i −0.0338968 + 0.0587110i
\(399\) −1.70423 + 0.457817i −0.0853184 + 0.0229195i
\(400\) 0.724594 + 1.25503i 0.0362297 + 0.0627517i
\(401\) −15.8378 27.4318i −0.790900 1.36988i −0.925411 0.378966i \(-0.876280\pi\)
0.134511 0.990912i \(-0.457054\pi\)
\(402\) −9.80098 9.78844i −0.488828 0.488203i
\(403\) 9.51440 16.4794i 0.473946 0.820898i
\(404\) −17.0315 −0.847349
\(405\) 16.9449 + 29.1767i 0.842001 + 1.44980i
\(406\) 5.58807 0.277331
\(407\) −4.86889 + 8.43317i −0.241342 + 0.418017i
\(408\) −16.8248 16.8032i −0.832949 0.831884i
\(409\) 6.45815 + 11.1858i 0.319335 + 0.553104i 0.980349 0.197269i \(-0.0632072\pi\)
−0.661015 + 0.750373i \(0.729874\pi\)
\(410\) 7.12147 + 12.3348i 0.351704 + 0.609170i
\(411\) 3.97480 1.06777i 0.196062 0.0526692i
\(412\) 11.5065 19.9299i 0.566885 0.981873i
\(413\) −6.74893 −0.332093
\(414\) 0.00567078 + 4.43025i 0.000278703 + 0.217735i
\(415\) −14.2587 −0.699934
\(416\) 16.0644 27.8244i 0.787622 1.36420i
\(417\) −5.13705 + 19.2209i −0.251563 + 0.941254i
\(418\) 0.314002 + 0.543868i 0.0153584 + 0.0266015i
\(419\) −13.6804 23.6951i −0.668331 1.15758i −0.978371 0.206860i \(-0.933676\pi\)
0.310040 0.950724i \(-0.399658\pi\)
\(420\) −2.91936 + 10.9231i −0.142450 + 0.532995i
\(421\) 9.78884 16.9548i 0.477079 0.826325i −0.522576 0.852593i \(-0.675029\pi\)
0.999655 + 0.0262679i \(0.00836230\pi\)
\(422\) 9.85865 0.479912
\(423\) −4.67101 2.68884i −0.227112 0.130736i
\(424\) −3.30061 −0.160292
\(425\) 21.7151 37.6117i 1.05334 1.82444i
\(426\) 7.69331 2.06669i 0.372742 0.100132i
\(427\) −1.84933 3.20313i −0.0894954 0.155011i
\(428\) −6.00198 10.3957i −0.290117 0.502497i
\(429\) 7.05489 + 7.04587i 0.340613 + 0.340178i
\(430\) −6.88333 + 11.9223i −0.331944 + 0.574943i
\(431\) 9.80495 0.472288 0.236144 0.971718i \(-0.424116\pi\)
0.236144 + 0.971718i \(0.424116\pi\)
\(432\) 0.216790 + 0.802901i 0.0104303 + 0.0386296i
\(433\) −1.98391 −0.0953409 −0.0476704 0.998863i \(-0.515180\pi\)
−0.0476704 + 0.998863i \(0.515180\pi\)
\(434\) −2.14510 + 3.71542i −0.102968 + 0.178346i
\(435\) −19.7815 19.7562i −0.948452 0.947239i
\(436\) −4.44455 7.69819i −0.212855 0.368676i
\(437\) 0.579621 + 1.00393i 0.0277270 + 0.0480246i
\(438\) 15.7662 4.23537i 0.753340 0.202374i
\(439\) −17.5309 + 30.3644i −0.836703 + 1.44921i 0.0559337 + 0.998434i \(0.482186\pi\)
−0.892636 + 0.450777i \(0.851147\pi\)
\(440\) 10.7301 0.511538
\(441\) −12.7067 + 7.35792i −0.605081 + 0.350377i
\(442\) 24.6970 1.17472
\(443\) −11.8560 + 20.5353i −0.563298 + 0.975660i 0.433908 + 0.900957i \(0.357134\pi\)
−0.997206 + 0.0747032i \(0.976199\pi\)
\(444\) −5.22583 + 19.5531i −0.248007 + 0.927950i
\(445\) 7.52665 + 13.0365i 0.356798 + 0.617992i
\(446\) −10.4261 18.0585i −0.493689 0.855094i
\(447\) −0.313640 + 1.17352i −0.0148347 + 0.0555058i
\(448\) −3.85409 + 6.67548i −0.182089 + 0.315387i
\(449\) −11.6575 −0.550154 −0.275077 0.961422i \(-0.588703\pi\)
−0.275077 + 0.961422i \(0.588703\pi\)
\(450\) −21.0253 + 12.1749i −0.991143 + 0.573929i
\(451\) 4.24760 0.200012
\(452\) 0.986009 1.70782i 0.0463780 0.0803290i
\(453\) 4.19113 1.12589i 0.196917 0.0528988i
\(454\) 2.67386 + 4.63126i 0.125490 + 0.217356i
\(455\) −15.6577 27.1200i −0.734046 1.27140i
\(456\) 2.46283 + 2.45968i 0.115333 + 0.115185i
\(457\) −6.60015 + 11.4318i −0.308742 + 0.534757i −0.978087 0.208195i \(-0.933241\pi\)
0.669346 + 0.742951i \(0.266575\pi\)
\(458\) −8.42964 −0.393891
\(459\) 17.5898 17.6574i 0.821020 0.824179i
\(460\) 7.42751 0.346310
\(461\) 15.1456 26.2330i 0.705402 1.22179i −0.261144 0.965300i \(-0.584100\pi\)
0.966546 0.256493i \(-0.0825669\pi\)
\(462\) −1.59058 1.58855i −0.0740006 0.0739059i
\(463\) 13.6059 + 23.5662i 0.632322 + 1.09521i 0.987076 + 0.160254i \(0.0512313\pi\)
−0.354754 + 0.934960i \(0.615435\pi\)
\(464\) −0.344556 0.596789i −0.0159956 0.0277052i
\(465\) 20.7292 5.56858i 0.961292 0.258237i
\(466\) 12.1502 21.0448i 0.562847 0.974880i
\(467\) 31.1873 1.44318 0.721588 0.692322i \(-0.243412\pi\)
0.721588 + 0.692322i \(0.243412\pi\)
\(468\) 17.9604 + 10.3388i 0.830220 + 0.477912i
\(469\) 12.9742 0.599095
\(470\) 3.01207 5.21705i 0.138936 0.240645i
\(471\) 1.98372 7.42234i 0.0914049 0.342003i
\(472\) 6.65606 + 11.5286i 0.306370 + 0.530648i
\(473\) 2.05278 + 3.55552i 0.0943871 + 0.163483i
\(474\) 0.434703 1.62650i 0.0199666 0.0747075i
\(475\) −3.17869 + 5.50566i −0.145848 + 0.252617i
\(476\) 8.35199 0.382813
\(477\) −0.00442826 3.45954i −0.000202756 0.158402i
\(478\) −0.216970 −0.00992397
\(479\) 19.1386 33.1490i 0.874464 1.51462i 0.0171309 0.999853i \(-0.494547\pi\)
0.857333 0.514762i \(-0.172120\pi\)
\(480\) 34.9997 9.40217i 1.59751 0.429148i
\(481\) −28.0283 48.5465i −1.27798 2.21353i
\(482\) −5.68438 9.84563i −0.258916 0.448456i
\(483\) −2.93607 2.93232i −0.133596 0.133425i
\(484\) 0.599994 1.03922i 0.0272725 0.0472373i
\(485\) 12.3378 0.560228
\(486\) −13.4561 + 3.65175i −0.610383 + 0.165647i
\(487\) −15.8602 −0.718697 −0.359348 0.933204i \(-0.617001\pi\)
−0.359348 + 0.933204i \(0.617001\pi\)
\(488\) −3.64776 + 6.31811i −0.165127 + 0.286008i
\(489\) 21.6901 + 21.6624i 0.980862 + 0.979607i
\(490\) −8.20594 14.2131i −0.370706 0.642082i
\(491\) 3.50114 + 6.06416i 0.158004 + 0.273672i 0.934149 0.356883i \(-0.116161\pi\)
−0.776145 + 0.630555i \(0.782827\pi\)
\(492\) 8.52611 2.29041i 0.384387 0.103260i
\(493\) −10.3259 + 17.8850i −0.465055 + 0.805499i
\(494\) −3.61518 −0.162655
\(495\) 0.0143960 + 11.2468i 0.000647054 + 0.505505i
\(496\) 0.529060 0.0237555
\(497\) −3.73070 + 6.46175i −0.167345 + 0.289849i
\(498\) 1.52139 5.69247i 0.0681751 0.255086i
\(499\) −12.3353 21.3653i −0.552202 0.956443i −0.998115 0.0613663i \(-0.980454\pi\)
0.445913 0.895076i \(-0.352879\pi\)
\(500\) 9.11990 + 15.7961i 0.407854 + 0.706425i
\(501\) −3.98081 + 14.8947i −0.177850 + 0.665447i
\(502\) 10.5603 18.2910i 0.471330 0.816367i
\(503\) 6.05183 0.269838 0.134919 0.990857i \(-0.456923\pi\)
0.134919 + 0.990857i \(0.456923\pi\)
\(504\) −10.7983 6.21596i −0.480992 0.276881i
\(505\) 53.2088 2.36776
\(506\) −0.738375 + 1.27890i −0.0328248 + 0.0568542i
\(507\) −33.6867 + 9.04944i −1.49608 + 0.401900i
\(508\) −13.3984 23.2067i −0.594458 1.02963i
\(509\) 10.0280 + 17.3690i 0.444482 + 0.769866i 0.998016 0.0629607i \(-0.0200543\pi\)
−0.553534 + 0.832827i \(0.686721\pi\)
\(510\) 19.7110 + 19.6857i 0.872816 + 0.871700i
\(511\) −7.64547 + 13.2423i −0.338216 + 0.585807i
\(512\) 1.80948 0.0799683
\(513\) −2.57482 + 2.58472i −0.113681 + 0.114118i
\(514\) −3.68212 −0.162412
\(515\) −35.9479 + 62.2637i −1.58406 + 2.74366i
\(516\) 6.03773 + 6.03000i 0.265796 + 0.265456i
\(517\) −0.898274 1.55586i −0.0395060 0.0684265i
\(518\) 6.31921 + 10.9452i 0.277650 + 0.480904i
\(519\) 41.3684 11.1130i 1.81587 0.487807i
\(520\) −30.8845 + 53.4936i −1.35438 + 2.34585i
\(521\) 18.8721 0.826804 0.413402 0.910549i \(-0.364340\pi\)
0.413402 + 0.910549i \(0.364340\pi\)
\(522\) 9.99788 5.78935i 0.437595 0.253393i
\(523\) −16.0568 −0.702114 −0.351057 0.936354i \(-0.614178\pi\)
−0.351057 + 0.936354i \(0.614178\pi\)
\(524\) −5.87326 + 10.1728i −0.256575 + 0.444400i
\(525\) 5.87579 21.9850i 0.256441 0.959505i
\(526\) −5.18427 8.97941i −0.226045 0.391521i
\(527\) −7.92762 13.7310i −0.345333 0.598134i
\(528\) −0.0715779 + 0.267818i −0.00311503 + 0.0116553i
\(529\) 10.1370 17.5578i 0.440740 0.763384i
\(530\) 3.86682 0.167964
\(531\) −12.0748 + 6.99203i −0.524003 + 0.303428i
\(532\) −1.22258 −0.0530054
\(533\) −12.2259 + 21.1759i −0.529563 + 0.917230i
\(534\) −6.00762 + 1.61386i −0.259975 + 0.0698385i
\(535\) 18.7510 + 32.4778i 0.810678 + 1.40414i
\(536\) −12.7957 22.1628i −0.552690 0.957288i
\(537\) −14.5332 14.5146i −0.627153 0.626351i
\(538\) −3.05241 + 5.28692i −0.131599 + 0.227935i
\(539\) −4.89443 −0.210818
\(540\) 6.09344 + 22.5676i 0.262220 + 0.971156i
\(541\) 18.4357 0.792614 0.396307 0.918118i \(-0.370292\pi\)
0.396307 + 0.918118i \(0.370292\pi\)
\(542\) −3.38784 + 5.86791i −0.145520 + 0.252048i
\(543\) −6.06080 6.05304i −0.260094 0.259761i
\(544\) −13.3852 23.1839i −0.573888 0.994002i
\(545\) 13.8854 + 24.0502i 0.594785 + 1.03020i
\(546\) 12.4977 3.35732i 0.534851 0.143680i
\(547\) 14.4834 25.0860i 0.619267 1.07260i −0.370353 0.928891i \(-0.620763\pi\)
0.989620 0.143711i \(-0.0459035\pi\)
\(548\) 2.85143 0.121807
\(549\) −6.62724 3.81493i −0.282844 0.162817i
\(550\) −8.09864 −0.345327
\(551\) 1.51152 2.61803i 0.0643929 0.111532i
\(552\) −2.11336 + 7.90741i −0.0899506 + 0.336562i
\(553\) 0.788462 + 1.36566i 0.0335288 + 0.0580736i
\(554\) −8.40918 14.5651i −0.357272 0.618813i
\(555\) 16.3262 61.0867i 0.693010 2.59299i
\(556\) −6.89196 + 11.9372i −0.292284 + 0.506251i
\(557\) −11.7584 −0.498219 −0.249110 0.968475i \(-0.580138\pi\)
−0.249110 + 0.968475i \(0.580138\pi\)
\(558\) 0.0113535 + 8.86979i 0.000480630 + 0.375488i
\(559\) −23.6341 −0.999618
\(560\) 0.435334 0.754021i 0.0183962 0.0318632i
\(561\) 8.02340 2.15537i 0.338748 0.0909997i
\(562\) 11.1282 + 19.2746i 0.469415 + 0.813050i
\(563\) 0.282557 + 0.489403i 0.0119084 + 0.0206259i 0.871918 0.489652i \(-0.162876\pi\)
−0.860010 + 0.510277i \(0.829543\pi\)
\(564\) −2.64204 2.63866i −0.111250 0.111108i
\(565\) −3.08043 + 5.33546i −0.129595 + 0.224465i
\(566\) 16.2261 0.682035
\(567\) 6.50078 11.3265i 0.273007 0.475670i
\(568\) 14.7174 0.617530
\(569\) −3.11671 + 5.39830i −0.130659 + 0.226309i −0.923931 0.382559i \(-0.875043\pi\)
0.793272 + 0.608868i \(0.208376\pi\)
\(570\) −2.88532 2.88163i −0.120853 0.120698i
\(571\) 14.1967 + 24.5894i 0.594114 + 1.02904i 0.993671 + 0.112327i \(0.0358304\pi\)
−0.399558 + 0.916708i \(0.630836\pi\)
\(572\) 3.45393 + 5.98239i 0.144416 + 0.250136i
\(573\) −0.541247 + 0.145398i −0.0226109 + 0.00607409i
\(574\) 2.75643 4.77427i 0.115051 0.199274i
\(575\) −14.9494 −0.623432
\(576\) 0.0203987 + 15.9363i 0.000849947 + 0.664014i
\(577\) −25.5623 −1.06417 −0.532087 0.846690i \(-0.678592\pi\)
−0.532087 + 0.846690i \(0.678592\pi\)
\(578\) 2.68637 4.65294i 0.111738 0.193537i
\(579\) 6.44678 24.1215i 0.267919 1.00245i
\(580\) −9.68464 16.7743i −0.402133 0.696515i
\(581\) 2.75949 + 4.77957i 0.114483 + 0.198290i
\(582\) −1.31642 + 4.92556i −0.0545674 + 0.204171i
\(583\) 0.576591 0.998685i 0.0238800 0.0413613i
\(584\) 30.1611 1.24807
\(585\) −56.1108 32.2999i −2.31990 1.33544i
\(586\) 14.3803 0.594044
\(587\) 17.5932 30.4724i 0.726151 1.25773i −0.232347 0.972633i \(-0.574641\pi\)
0.958498 0.285098i \(-0.0920260\pi\)
\(588\) −9.82447 + 2.63920i −0.405154 + 0.108839i
\(589\) 1.16046 + 2.00997i 0.0478158 + 0.0828194i
\(590\) −7.79787 13.5063i −0.321033 0.556046i
\(591\) −22.4599 22.4311i −0.923875 0.922693i
\(592\) 0.779276 1.34975i 0.0320280 0.0554742i
\(593\) −40.8141 −1.67604 −0.838018 0.545643i \(-0.816286\pi\)
−0.838018 + 0.545643i \(0.816286\pi\)
\(594\) −4.49155 1.19427i −0.184291 0.0490015i
\(595\) −26.0928 −1.06970
\(596\) −0.420785 + 0.728821i −0.0172360 + 0.0298537i
\(597\) −1.85313 1.85076i −0.0758435 0.0757465i
\(598\) −4.25054 7.36215i −0.173817 0.301061i
\(599\) −23.2063 40.1945i −0.948184 1.64230i −0.749247 0.662291i \(-0.769584\pi\)
−0.198938 0.980012i \(-0.563749\pi\)
\(600\) −43.3501 + 11.6454i −1.76976 + 0.475420i
\(601\) −7.64723 + 13.2454i −0.311937 + 0.540291i −0.978782 0.204906i \(-0.934311\pi\)
0.666844 + 0.745197i \(0.267645\pi\)
\(602\) 5.32851 0.217174
\(603\) 23.2128 13.4416i 0.945300 0.547384i
\(604\) 3.00662 0.122338
\(605\) −1.87447 + 3.24667i −0.0762079 + 0.131996i
\(606\) −5.67731 + 21.2424i −0.230625 + 0.862912i
\(607\) 17.2474 + 29.8734i 0.700051 + 1.21252i 0.968448 + 0.249216i \(0.0801729\pi\)
−0.268397 + 0.963308i \(0.586494\pi\)
\(608\) 1.95935 + 3.39370i 0.0794622 + 0.137633i
\(609\) −2.79403 + 10.4542i −0.113220 + 0.423627i
\(610\) 4.27352 7.40196i 0.173030 0.299696i
\(611\) 10.3420 0.418394
\(612\) 14.9429 8.65284i 0.604033 0.349770i
\(613\) 19.6568 0.793931 0.396965 0.917834i \(-0.370063\pi\)
0.396965 + 0.917834i \(0.370063\pi\)
\(614\) −9.00440 + 15.5961i −0.363388 + 0.629406i
\(615\) −26.6368 + 7.15557i −1.07410 + 0.288541i
\(616\) −2.07659 3.59676i −0.0836682 0.144918i
\(617\) 18.0267 + 31.2231i 0.725726 + 1.25699i 0.958675 + 0.284505i \(0.0918292\pi\)
−0.232949 + 0.972489i \(0.574837\pi\)
\(618\) −21.0217 20.9948i −0.845617 0.844536i
\(619\) 4.40997 7.63830i 0.177252 0.307009i −0.763686 0.645587i \(-0.776613\pi\)
0.940938 + 0.338578i \(0.109946\pi\)
\(620\) 14.8706 0.597218
\(621\) −8.29101 2.20452i −0.332707 0.0884641i
\(622\) 11.6496 0.467105
\(623\) 2.91326 5.04591i 0.116717 0.202160i
\(624\) −1.12915 1.12770i −0.0452021 0.0451443i
\(625\) −5.85564 10.1423i −0.234226 0.405691i
\(626\) 4.58479 + 7.94108i 0.183245 + 0.317390i
\(627\) −1.17448 + 0.315506i −0.0469041 + 0.0126001i
\(628\) 2.66139 4.60967i 0.106201 0.183946i
\(629\) −46.7078 −1.86236
\(630\) 12.6506 + 7.28228i 0.504014 + 0.290133i
\(631\) −0.823111 −0.0327675 −0.0163838 0.999866i \(-0.505215\pi\)
−0.0163838 + 0.999866i \(0.505215\pi\)
\(632\) 1.55522 2.69373i 0.0618635 0.107151i
\(633\) −4.92933 + 18.4437i −0.195923 + 0.733072i
\(634\) −4.92728 8.53430i −0.195687 0.338940i
\(635\) 41.8585 + 72.5010i 1.66110 + 2.87711i
\(636\) 0.618861 2.31555i 0.0245394 0.0918175i
\(637\) 14.0877 24.4006i 0.558174 0.966786i
\(638\) 3.85103 0.152464
\(639\) 0.0197456 + 15.4261i 0.000781125 + 0.610247i
\(640\) 24.0346 0.950052
\(641\) −15.5236 + 26.8877i −0.613145 + 1.06200i 0.377562 + 0.925984i \(0.376763\pi\)
−0.990707 + 0.136014i \(0.956571\pi\)
\(642\) −14.9667 + 4.02058i −0.590688 + 0.158680i
\(643\) 0.282962 + 0.490105i 0.0111589 + 0.0193279i 0.871551 0.490305i \(-0.163115\pi\)
−0.860392 + 0.509633i \(0.829781\pi\)
\(644\) −1.43744 2.48972i −0.0566432 0.0981088i
\(645\) −18.8627 18.8386i −0.742718 0.741768i
\(646\) −1.50613 + 2.60869i −0.0592578 + 0.102638i
\(647\) −32.7343 −1.28692 −0.643458 0.765481i \(-0.722501\pi\)
−0.643458 + 0.765481i \(0.722501\pi\)
\(648\) −25.7595 + 0.0659452i −1.01193 + 0.00259057i
\(649\) −4.65105 −0.182569
\(650\) 23.3104 40.3747i 0.914307 1.58363i
\(651\) −5.87831 5.87079i −0.230389 0.230094i
\(652\) 10.6191 + 18.3927i 0.415874 + 0.720316i
\(653\) 3.61631 + 6.26362i 0.141517 + 0.245115i 0.928068 0.372411i \(-0.121469\pi\)
−0.786551 + 0.617525i \(0.788135\pi\)
\(654\) −11.0830 + 2.97730i −0.433381 + 0.116421i
\(655\) 18.3489 31.7812i 0.716951 1.24180i
\(656\) −0.679837 −0.0265432
\(657\) 0.0404655 + 31.6134i 0.00157871 + 1.23336i
\(658\) −2.33169 −0.0908989
\(659\) −18.2545 + 31.6177i −0.711093 + 1.23165i 0.253354 + 0.967374i \(0.418466\pi\)
−0.964447 + 0.264276i \(0.914867\pi\)
\(660\) −2.01188 + 7.52772i −0.0783124 + 0.293016i
\(661\) −7.07158 12.2483i −0.275053 0.476405i 0.695096 0.718917i \(-0.255362\pi\)
−0.970148 + 0.242512i \(0.922029\pi\)
\(662\) −8.11445 14.0546i −0.315377 0.546249i
\(663\) −12.3485 + 46.2035i −0.479576 + 1.79439i
\(664\) 5.44303 9.42760i 0.211230 0.365862i
\(665\) 3.81950 0.148114
\(666\) 22.6454 + 13.0357i 0.877493 + 0.505124i
\(667\) 7.10866 0.275249
\(668\) −5.34073 + 9.25041i −0.206639 + 0.357909i
\(669\) 38.9971 10.4760i 1.50772 0.405025i
\(670\) 14.9908 + 25.9647i 0.579143 + 1.00311i
\(671\) −1.27447 2.20745i −0.0492004 0.0852176i
\(672\) −9.92511 9.91242i −0.382869 0.382380i
\(673\) −7.78212 + 13.4790i −0.299979 + 0.519578i −0.976131 0.217184i \(-0.930313\pi\)
0.676152 + 0.736762i \(0.263646\pi\)
\(674\) 1.50183 0.0578484
\(675\) −12.2643 45.4219i −0.472052 1.74829i
\(676\) −24.1661 −0.929464
\(677\) 17.0779 29.5798i 0.656357 1.13684i −0.325195 0.945647i \(-0.605430\pi\)
0.981552 0.191196i \(-0.0612366\pi\)
\(678\) −1.80138 1.79908i −0.0691816 0.0690931i
\(679\) −2.38772 4.13565i −0.0916322 0.158712i
\(680\) 25.7337 + 44.5721i 0.986844 + 1.70926i
\(681\) −10.0012 + 2.68666i −0.383245 + 0.102953i
\(682\) −1.47830 + 2.56049i −0.0566070 + 0.0980462i
\(683\) −48.8978 −1.87102 −0.935512 0.353295i \(-0.885061\pi\)
−0.935512 + 0.353295i \(0.885061\pi\)
\(684\) −2.18737 + 1.26661i −0.0836362 + 0.0484302i
\(685\) −8.90825 −0.340367
\(686\) −7.71874 + 13.3693i −0.294703 + 0.510440i
\(687\) 4.21482 15.7703i 0.160805 0.601674i
\(688\) −0.328552 0.569068i −0.0125259 0.0216955i
\(689\) 3.31921 + 5.74904i 0.126452 + 0.219021i
\(690\) 2.47590 9.26389i 0.0942558 0.352670i
\(691\) 17.0662 29.5596i 0.649230 1.12450i −0.334077 0.942546i \(-0.608425\pi\)
0.983307 0.181954i \(-0.0582420\pi\)
\(692\) 29.6767 1.12814
\(693\) 3.76717 2.18141i 0.143103 0.0828649i
\(694\) 16.7985 0.637663
\(695\) 21.5315 37.2936i 0.816735 1.41463i
\(696\) 20.6137 5.53756i 0.781359 0.209901i
\(697\) 10.1869 + 17.6443i 0.385857 + 0.668324i
\(698\) 14.5386 + 25.1815i 0.550292 + 0.953134i
\(699\) 33.2958 + 33.2532i 1.25936 + 1.25775i
\(700\) 7.88307 13.6539i 0.297952 0.516068i
\(701\) −22.2291 −0.839581 −0.419791 0.907621i \(-0.637896\pi\)
−0.419791 + 0.907621i \(0.637896\pi\)
\(702\) 18.8819 18.9546i 0.712653 0.715395i
\(703\) 6.83715 0.257868
\(704\) −2.65606 + 4.60043i −0.100104 + 0.173385i
\(705\) 8.25410 + 8.24354i 0.310867 + 0.310470i
\(706\) 3.00071 + 5.19739i 0.112933 + 0.195606i
\(707\) −10.2975 17.8357i −0.387276 0.670782i
\(708\) −9.33593 + 2.50796i −0.350866 + 0.0942549i
\(709\) 10.2198 17.7012i 0.383812 0.664781i −0.607792 0.794096i \(-0.707945\pi\)
0.991604 + 0.129315i \(0.0412779\pi\)
\(710\) −17.2421 −0.647086
\(711\) 2.82552 + 1.62650i 0.105965 + 0.0609984i
\(712\) −11.4927 −0.430706
\(713\) −2.72881 + 4.72644i −0.102195 + 0.177006i
\(714\) 2.78407 10.4169i 0.104191 0.389844i
\(715\) −10.7906 18.6898i −0.403544 0.698959i
\(716\) −7.11516 12.3238i −0.265906 0.460563i
\(717\) 0.108485 0.405910i 0.00405144 0.0151590i
\(718\) 6.60971 11.4484i 0.246672 0.427249i
\(719\) 19.8844 0.741563 0.370782 0.928720i \(-0.379090\pi\)
0.370782 + 0.928720i \(0.379090\pi\)
\(720\) −0.00230411 1.80007i −8.58692e−5 0.0670846i
\(721\) 27.8279 1.03637
\(722\) −8.27665 + 14.3356i −0.308025 + 0.533515i
\(723\) 21.2615 5.71160i 0.790725 0.212417i
\(724\) −2.96724 5.13942i −0.110277 0.191005i
\(725\) 19.4923 + 33.7616i 0.723925 + 1.25388i
\(726\) −1.09615 1.09475i −0.0406821 0.0406301i
\(727\) −0.143365 + 0.248316i −0.00531712 + 0.00920951i −0.868672 0.495388i \(-0.835026\pi\)
0.863355 + 0.504598i \(0.168359\pi\)
\(728\) 23.9083 0.886099
\(729\) −0.103681 26.9998i −0.00384003 0.999993i
\(730\) −35.3350 −1.30781
\(731\) −9.84627 + 17.0542i −0.364178 + 0.630774i
\(732\) −3.74853 3.74373i −0.138550 0.138372i
\(733\) −5.10058 8.83447i −0.188394 0.326309i 0.756321 0.654201i \(-0.226995\pi\)
−0.944715 + 0.327892i \(0.893662\pi\)
\(734\) 11.8901 + 20.5943i 0.438872 + 0.760148i
\(735\) 30.6930 8.24523i 1.13213 0.304130i
\(736\) −4.60741 + 7.98026i −0.169831 + 0.294156i
\(737\) 8.94124 0.329355
\(738\) −0.0145891 11.3976i −0.000537031 0.419551i
\(739\) 29.3420 1.07936 0.539681 0.841870i \(-0.318545\pi\)
0.539681 + 0.841870i \(0.318545\pi\)
\(740\) 21.9036 37.9381i 0.805191 1.39463i
\(741\) 1.80759 6.76333i 0.0664035 0.248457i
\(742\) −0.748343 1.29617i −0.0274725 0.0475838i
\(743\) −23.9113 41.4155i −0.877219 1.51939i −0.854380 0.519650i \(-0.826063\pi\)
−0.0228399 0.999739i \(-0.507271\pi\)
\(744\) −4.23116 + 15.8314i −0.155122 + 0.580408i
\(745\) 1.31459 2.27694i 0.0481629 0.0834205i
\(746\) −21.0695 −0.771410
\(747\) 9.88886 + 5.69247i 0.361815 + 0.208277i
\(748\) 5.75580 0.210453
\(749\) 7.25776 12.5708i 0.265193 0.459327i
\(750\) 22.7416 6.10920i 0.830406 0.223076i
\(751\) 10.0234 + 17.3610i 0.365758 + 0.633512i 0.988898 0.148599i \(-0.0474764\pi\)
−0.623139 + 0.782111i \(0.714143\pi\)
\(752\) 0.143770 + 0.249018i 0.00524277 + 0.00908074i
\(753\) 28.9389 + 28.9019i 1.05459 + 1.05324i
\(754\) −11.0845 + 19.1988i −0.403672 + 0.699180i
\(755\) −9.39311 −0.341850
\(756\) 6.38547 6.41004i 0.232237 0.233131i
\(757\) −34.7845 −1.26427 −0.632133 0.774860i \(-0.717820\pi\)
−0.632133 + 0.774860i \(0.717820\pi\)
\(758\) 14.1560 24.5190i 0.514171 0.890570i
\(759\) −2.02340 2.02081i −0.0734449 0.0733509i
\(760\) −3.76694 6.52453i −0.136641 0.236670i
\(761\) 3.27617 + 5.67450i 0.118761 + 0.205700i 0.919277 0.393611i \(-0.128774\pi\)
−0.800516 + 0.599312i \(0.795441\pi\)
\(762\) −33.4106 + 8.97526i −1.21034 + 0.325139i
\(763\) 5.37447 9.30885i 0.194569 0.337003i
\(764\) −0.388278 −0.0140474
\(765\) −46.6839 + 27.0327i −1.68786 + 0.977368i
\(766\) 32.0601 1.15838
\(767\) 13.3871 23.1872i 0.483381 0.837241i
\(768\) −7.31580 + 27.3730i −0.263986 + 0.987738i
\(769\) 17.0111 + 29.4641i 0.613435 + 1.06250i 0.990657 + 0.136378i \(0.0435462\pi\)
−0.377221 + 0.926123i \(0.623120\pi\)
\(770\) 2.43282 + 4.21377i 0.0876728 + 0.151854i
\(771\) 1.84106 6.88857i 0.0663042 0.248086i
\(772\) 8.64912 14.9807i 0.311289 0.539168i
\(773\) 5.09752 0.183345 0.0916725 0.995789i \(-0.470779\pi\)
0.0916725 + 0.995789i \(0.470779\pi\)
\(774\) 9.53349 5.52044i 0.342674 0.198428i
\(775\) −29.9301 −1.07512
\(776\) −4.70972 + 8.15747i −0.169069 + 0.292836i
\(777\)