Properties

Label 585.2.bt.b.571.42
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.42
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.42

$q$-expansion

\(f(q)\) \(=\) \(q+(1.39901 - 0.807720i) q^{2} +(0.0517001 + 1.73128i) q^{3} +(0.304825 - 0.527972i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.47072 + 2.38032i) q^{6} +(-1.67328 + 0.966071i) q^{7} +2.24603i q^{8} +(-2.99465 + 0.179015i) q^{9} +O(q^{10})\) \(q+(1.39901 - 0.807720i) q^{2} +(0.0517001 + 1.73128i) q^{3} +(0.304825 - 0.527972i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(1.47072 + 2.38032i) q^{6} +(-1.67328 + 0.966071i) q^{7} +2.24603i q^{8} +(-2.99465 + 0.179015i) q^{9} -1.61544 q^{10} +(-5.50999 + 3.18119i) q^{11} +(0.929826 + 0.500440i) q^{12} +(-3.46141 - 1.00927i) q^{13} +(-1.56063 + 2.70309i) q^{14} +(0.820866 - 1.52518i) q^{15} +(2.42381 + 4.19817i) q^{16} +7.37934 q^{17} +(-4.04497 + 2.66929i) q^{18} -0.941719i q^{19} +(-0.527972 + 0.304825i) q^{20} +(-1.75905 - 2.84698i) q^{21} +(-5.13903 + 8.90106i) q^{22} +(1.21885 - 2.11111i) q^{23} +(-3.88850 + 0.116120i) q^{24} +(0.500000 + 0.866025i) q^{25} +(-5.65777 + 1.38387i) q^{26} +(-0.464748 - 5.17533i) q^{27} +1.17793i q^{28} +(-1.01941 - 1.76567i) q^{29} +(-0.0835184 - 2.79678i) q^{30} +(8.79499 + 5.07779i) q^{31} +(2.89165 + 1.66950i) q^{32} +(-5.79240 - 9.37486i) q^{33} +(10.3238 - 5.96044i) q^{34} +1.93214 q^{35} +(-0.818330 + 1.63566i) q^{36} +3.18996i q^{37} +(-0.760646 - 1.31748i) q^{38} +(1.56837 - 6.04485i) q^{39} +(1.12301 - 1.94512i) q^{40} +(3.06411 + 1.76906i) q^{41} +(-4.76049 - 2.56214i) q^{42} +(4.69451 + 8.13113i) q^{43} +3.87882i q^{44} +(2.68295 + 1.34230i) q^{45} -3.93795i q^{46} +(-6.88435 + 3.97468i) q^{47} +(-7.14289 + 4.41334i) q^{48} +(-1.63341 + 2.82915i) q^{49} +(1.39901 + 0.807720i) q^{50} +(0.381512 + 12.7757i) q^{51} +(-1.58799 + 1.51988i) q^{52} -9.73349 q^{53} +(-4.83041 - 6.86496i) q^{54} +6.36239 q^{55} +(-2.16982 - 3.75825i) q^{56} +(1.63038 - 0.0486869i) q^{57} +(-2.85234 - 1.64680i) q^{58} +(7.79748 + 4.50188i) q^{59} +(-0.555033 - 0.898307i) q^{60} +(0.789296 + 1.36710i) q^{61} +16.4057 q^{62} +(4.83797 - 3.19259i) q^{63} -4.30130 q^{64} +(2.49304 + 2.60476i) q^{65} +(-15.6759 - 8.43691i) q^{66} +(-0.551568 - 0.318448i) q^{67} +(2.24940 - 3.89608i) q^{68} +(3.71793 + 2.00102i) q^{69} +(2.70309 - 1.56063i) q^{70} -10.3299i q^{71} +(-0.402072 - 6.72608i) q^{72} +0.468938i q^{73} +(2.57660 + 4.46280i) q^{74} +(-1.47348 + 0.910413i) q^{75} +(-0.497201 - 0.287059i) q^{76} +(6.14652 - 10.6461i) q^{77} +(-2.68838 - 9.72363i) q^{78} +(1.56469 + 2.71012i) q^{79} -4.84763i q^{80} +(8.93591 - 1.07217i) q^{81} +5.71563 q^{82} +(-3.12979 + 1.80699i) q^{83} +(-2.03932 + 0.0608990i) q^{84} +(-6.39069 - 3.68967i) q^{85} +(13.1354 + 7.58370i) q^{86} +(3.00417 - 1.85617i) q^{87} +(-7.14505 - 12.3756i) q^{88} -13.3769i q^{89} +(4.83769 - 0.289187i) q^{90} +(6.76695 - 1.65518i) q^{91} +(-0.743070 - 1.28703i) q^{92} +(-8.33637 + 15.4891i) q^{93} +(-6.42086 + 11.1213i) q^{94} +(-0.470859 + 0.815552i) q^{95} +(-2.74087 + 5.09257i) q^{96} +(6.43608 - 3.71587i) q^{97} +5.27736i q^{98} +(15.9310 - 10.5129i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.39901 0.807720i 0.989251 0.571145i 0.0842010 0.996449i \(-0.473166\pi\)
0.905050 + 0.425304i \(0.139833\pi\)
\(3\) 0.0517001 + 1.73128i 0.0298491 + 0.999554i
\(4\) 0.304825 0.527972i 0.152412 0.263986i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 1.47072 + 2.38032i 0.600418 + 0.971763i
\(7\) −1.67328 + 0.966071i −0.632442 + 0.365141i −0.781697 0.623658i \(-0.785646\pi\)
0.149255 + 0.988799i \(0.452312\pi\)
\(8\) 2.24603i 0.794091i
\(9\) −2.99465 + 0.179015i −0.998218 + 0.0596715i
\(10\) −1.61544 −0.510847
\(11\) −5.50999 + 3.18119i −1.66132 + 0.959166i −0.689240 + 0.724534i \(0.742055\pi\)
−0.972084 + 0.234632i \(0.924611\pi\)
\(12\) 0.929826 + 0.500440i 0.268418 + 0.144465i
\(13\) −3.46141 1.00927i −0.960023 0.279921i
\(14\) −1.56063 + 2.70309i −0.417096 + 0.722432i
\(15\) 0.820866 1.52518i 0.211947 0.393800i
\(16\) 2.42381 + 4.19817i 0.605953 + 1.04954i
\(17\) 7.37934 1.78975 0.894876 0.446315i \(-0.147264\pi\)
0.894876 + 0.446315i \(0.147264\pi\)
\(18\) −4.04497 + 2.66929i −0.953408 + 0.629157i
\(19\) 0.941719i 0.216045i −0.994148 0.108023i \(-0.965548\pi\)
0.994148 0.108023i \(-0.0344519\pi\)
\(20\) −0.527972 + 0.304825i −0.118058 + 0.0681609i
\(21\) −1.75905 2.84698i −0.383856 0.621261i
\(22\) −5.13903 + 8.90106i −1.09564 + 1.89771i
\(23\) 1.21885 2.11111i 0.254147 0.440196i −0.710516 0.703681i \(-0.751539\pi\)
0.964664 + 0.263485i \(0.0848718\pi\)
\(24\) −3.88850 + 0.116120i −0.793738 + 0.0237029i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) −5.65777 + 1.38387i −1.10958 + 0.271400i
\(27\) −0.464748 5.17533i −0.0894408 0.995992i
\(28\) 1.17793i 0.222608i
\(29\) −1.01941 1.76567i −0.189300 0.327878i 0.755717 0.654898i \(-0.227289\pi\)
−0.945017 + 0.327021i \(0.893955\pi\)
\(30\) −0.0835184 2.79678i −0.0152483 0.510620i
\(31\) 8.79499 + 5.07779i 1.57963 + 0.911998i 0.994911 + 0.100760i \(0.0321275\pi\)
0.584716 + 0.811238i \(0.301206\pi\)
\(32\) 2.89165 + 1.66950i 0.511177 + 0.295128i
\(33\) −5.79240 9.37486i −1.00833 1.63195i
\(34\) 10.3238 5.96044i 1.77051 1.02221i
\(35\) 1.93214 0.326592
\(36\) −0.818330 + 1.63566i −0.136388 + 0.272610i
\(37\) 3.18996i 0.524427i 0.965010 + 0.262213i \(0.0844524\pi\)
−0.965010 + 0.262213i \(0.915548\pi\)
\(38\) −0.760646 1.31748i −0.123393 0.213723i
\(39\) 1.56837 6.04485i 0.251140 0.967951i
\(40\) 1.12301 1.94512i 0.177564 0.307550i
\(41\) 3.06411 + 1.76906i 0.478533 + 0.276281i 0.719805 0.694176i \(-0.244231\pi\)
−0.241272 + 0.970458i \(0.577565\pi\)
\(42\) −4.76049 2.56214i −0.734560 0.395346i
\(43\) 4.69451 + 8.13113i 0.715906 + 1.23999i 0.962609 + 0.270894i \(0.0873194\pi\)
−0.246703 + 0.969091i \(0.579347\pi\)
\(44\) 3.87882i 0.584755i
\(45\) 2.68295 + 1.34230i 0.399951 + 0.200098i
\(46\) 3.93795i 0.580620i
\(47\) −6.88435 + 3.97468i −1.00419 + 0.579767i −0.909484 0.415739i \(-0.863523\pi\)
−0.0947013 + 0.995506i \(0.530190\pi\)
\(48\) −7.14289 + 4.41334i −1.03099 + 0.637011i
\(49\) −1.63341 + 2.82915i −0.233345 + 0.404165i
\(50\) 1.39901 + 0.807720i 0.197850 + 0.114229i
\(51\) 0.381512 + 12.7757i 0.0534224 + 1.78895i
\(52\) −1.58799 + 1.51988i −0.220214 + 0.210769i
\(53\) −9.73349 −1.33700 −0.668499 0.743713i \(-0.733063\pi\)
−0.668499 + 0.743713i \(0.733063\pi\)
\(54\) −4.83041 6.86496i −0.657335 0.934203i
\(55\) 6.36239 0.857904
\(56\) −2.16982 3.75825i −0.289955 0.502217i
\(57\) 1.63038 0.0486869i 0.215949 0.00644874i
\(58\) −2.85234 1.64680i −0.374531 0.216236i
\(59\) 7.79748 + 4.50188i 1.01515 + 0.586095i 0.912694 0.408643i \(-0.133998\pi\)
0.102452 + 0.994738i \(0.467331\pi\)
\(60\) −0.555033 0.898307i −0.0716544 0.115971i
\(61\) 0.789296 + 1.36710i 0.101059 + 0.175039i 0.912121 0.409921i \(-0.134444\pi\)
−0.811062 + 0.584960i \(0.801110\pi\)
\(62\) 16.4057 2.08353
\(63\) 4.83797 3.19259i 0.609527 0.402229i
\(64\) −4.30130 −0.537663
\(65\) 2.49304 + 2.60476i 0.309223 + 0.323081i
\(66\) −15.6759 8.43691i −1.92957 1.03851i
\(67\) −0.551568 0.318448i −0.0673848 0.0389046i 0.465929 0.884822i \(-0.345720\pi\)
−0.533314 + 0.845917i \(0.679054\pi\)
\(68\) 2.24940 3.89608i 0.272780 0.472469i
\(69\) 3.71793 + 2.00102i 0.447586 + 0.240895i
\(70\) 2.70309 1.56063i 0.323081 0.186531i
\(71\) 10.3299i 1.22593i −0.790109 0.612967i \(-0.789976\pi\)
0.790109 0.612967i \(-0.210024\pi\)
\(72\) −0.402072 6.72608i −0.0473846 0.792676i
\(73\) 0.468938i 0.0548850i 0.999623 + 0.0274425i \(0.00873632\pi\)
−0.999623 + 0.0274425i \(0.991264\pi\)
\(74\) 2.57660 + 4.46280i 0.299524 + 0.518790i
\(75\) −1.47348 + 0.910413i −0.170143 + 0.105125i
\(76\) −0.497201 0.287059i −0.0570329 0.0329279i
\(77\) 6.14652 10.6461i 0.700461 1.21323i
\(78\) −2.68838 9.72363i −0.304399 1.10098i
\(79\) 1.56469 + 2.71012i 0.176041 + 0.304912i 0.940521 0.339735i \(-0.110337\pi\)
−0.764480 + 0.644648i \(0.777004\pi\)
\(80\) 4.84763i 0.541981i
\(81\) 8.93591 1.07217i 0.992879 0.119130i
\(82\) 5.71563 0.631186
\(83\) −3.12979 + 1.80699i −0.343539 + 0.198342i −0.661836 0.749649i \(-0.730222\pi\)
0.318297 + 0.947991i \(0.396889\pi\)
\(84\) −2.03932 + 0.0608990i −0.222509 + 0.00664463i
\(85\) −6.39069 3.68967i −0.693168 0.400201i
\(86\) 13.1354 + 7.58370i 1.41642 + 0.817772i
\(87\) 3.00417 1.85617i 0.322081 0.199003i
\(88\) −7.14505 12.3756i −0.761665 1.31924i
\(89\) 13.3769i 1.41795i −0.705234 0.708975i \(-0.749158\pi\)
0.705234 0.708975i \(-0.250842\pi\)
\(90\) 4.83769 0.289187i 0.509937 0.0304830i
\(91\) 6.76695 1.65518i 0.709370 0.173510i
\(92\) −0.743070 1.28703i −0.0774704 0.134183i
\(93\) −8.33637 + 15.4891i −0.864441 + 1.60615i
\(94\) −6.42086 + 11.1213i −0.662261 + 1.14707i
\(95\) −0.470859 + 0.815552i −0.0483092 + 0.0836739i
\(96\) −2.74087 + 5.09257i −0.279739 + 0.519759i
\(97\) 6.43608 3.71587i 0.653485 0.377290i −0.136305 0.990667i \(-0.543523\pi\)
0.789790 + 0.613377i \(0.210189\pi\)
\(98\) 5.27736i 0.533094i
\(99\) 15.9310 10.5129i 1.60113 1.05659i
\(100\) 0.609649 0.0609649
\(101\) −5.42789 9.40138i −0.540095 0.935472i −0.998898 0.0469340i \(-0.985055\pi\)
0.458803 0.888538i \(-0.348278\pi\)
\(102\) 10.8529 + 17.5652i 1.07460 + 1.73921i
\(103\) −6.78223 + 11.7472i −0.668273 + 1.15748i 0.310113 + 0.950700i \(0.399633\pi\)
−0.978387 + 0.206784i \(0.933700\pi\)
\(104\) 2.26685 7.77443i 0.222283 0.762346i
\(105\) 0.0998919 + 3.34508i 0.00974845 + 0.326446i
\(106\) −13.6173 + 7.86194i −1.32263 + 0.763619i
\(107\) −1.38187 −0.133590 −0.0667951 0.997767i \(-0.521277\pi\)
−0.0667951 + 0.997767i \(0.521277\pi\)
\(108\) −2.87409 1.33219i −0.276560 0.128190i
\(109\) 1.94120i 0.185934i 0.995669 + 0.0929668i \(0.0296350\pi\)
−0.995669 + 0.0929668i \(0.970365\pi\)
\(110\) 8.90106 5.13903i 0.848683 0.489987i
\(111\) −5.52272 + 0.164921i −0.524193 + 0.0156536i
\(112\) −8.11146 4.68315i −0.766461 0.442516i
\(113\) 3.24821 5.62606i 0.305566 0.529255i −0.671822 0.740713i \(-0.734488\pi\)
0.977387 + 0.211458i \(0.0678212\pi\)
\(114\) 2.24159 1.38500i 0.209945 0.129717i
\(115\) −2.11111 + 1.21885i −0.196862 + 0.113658i
\(116\) −1.24297 −0.115407
\(117\) 10.5464 + 2.40277i 0.975016 + 0.222136i
\(118\) 14.5450 1.33898
\(119\) −12.3477 + 7.12896i −1.13191 + 0.653511i
\(120\) 3.42560 + 1.84369i 0.312713 + 0.168305i
\(121\) 14.7400 25.5304i 1.34000 2.32094i
\(122\) 2.20847 + 1.27506i 0.199946 + 0.115439i
\(123\) −2.90433 + 5.39628i −0.261874 + 0.486567i
\(124\) 5.36186 3.09567i 0.481509 0.277999i
\(125\) 1.00000i 0.0894427i
\(126\) 4.18966 8.37420i 0.373244 0.746033i
\(127\) 12.1445 1.07765 0.538823 0.842419i \(-0.318869\pi\)
0.538823 + 0.842419i \(0.318869\pi\)
\(128\) −11.8009 + 6.81325i −1.04306 + 0.602212i
\(129\) −13.8345 + 8.54789i −1.21806 + 0.752599i
\(130\) 5.59171 + 1.63041i 0.490425 + 0.142997i
\(131\) −4.57197 + 7.91889i −0.399455 + 0.691877i −0.993659 0.112438i \(-0.964134\pi\)
0.594204 + 0.804315i \(0.297467\pi\)
\(132\) −6.71533 + 0.200535i −0.584494 + 0.0174544i
\(133\) 0.909768 + 1.57576i 0.0788869 + 0.136636i
\(134\) −1.02887 −0.0888806
\(135\) −2.18518 + 4.71434i −0.188070 + 0.405746i
\(136\) 16.5742i 1.42123i
\(137\) 4.53064 2.61576i 0.387078 0.223480i −0.293815 0.955862i \(-0.594925\pi\)
0.680893 + 0.732382i \(0.261592\pi\)
\(138\) 6.81770 0.203592i 0.580361 0.0173309i
\(139\) −4.74600 + 8.22031i −0.402550 + 0.697238i −0.994033 0.109080i \(-0.965210\pi\)
0.591483 + 0.806318i \(0.298543\pi\)
\(140\) 0.588965 1.02012i 0.0497766 0.0862156i
\(141\) −7.23720 11.7132i −0.609482 0.986432i
\(142\) −8.34367 14.4517i −0.700185 1.21276i
\(143\) 22.2830 5.45036i 1.86340 0.455782i
\(144\) −8.01002 12.1382i −0.667501 1.01151i
\(145\) 2.03883i 0.169315i
\(146\) 0.378771 + 0.656050i 0.0313473 + 0.0542951i
\(147\) −4.98250 2.68162i −0.410950 0.221177i
\(148\) 1.68421 + 0.972380i 0.138441 + 0.0799291i
\(149\) 10.0033 + 5.77542i 0.819504 + 0.473141i 0.850245 0.526386i \(-0.176453\pi\)
−0.0307413 + 0.999527i \(0.509787\pi\)
\(150\) −1.32606 + 2.46384i −0.108272 + 0.201172i
\(151\) −0.140481 + 0.0811070i −0.0114322 + 0.00660039i −0.505705 0.862706i \(-0.668768\pi\)
0.494273 + 0.869307i \(0.335434\pi\)
\(152\) 2.11513 0.171560
\(153\) −22.0986 + 1.32101i −1.78656 + 0.106797i
\(154\) 19.8587i 1.60026i
\(155\) −5.07779 8.79499i −0.407858 0.706431i
\(156\) −2.71343 2.67067i −0.217248 0.213825i
\(157\) −8.18891 + 14.1836i −0.653546 + 1.13198i 0.328710 + 0.944431i \(0.393386\pi\)
−0.982256 + 0.187544i \(0.939947\pi\)
\(158\) 4.37804 + 2.52766i 0.348298 + 0.201090i
\(159\) −0.503222 16.8514i −0.0399081 1.33640i
\(160\) −1.66950 2.89165i −0.131985 0.228605i
\(161\) 4.70998i 0.371198i
\(162\) 11.6354 8.71770i 0.914166 0.684927i
\(163\) 18.5925i 1.45628i 0.685429 + 0.728140i \(0.259615\pi\)
−0.685429 + 0.728140i \(0.740385\pi\)
\(164\) 1.86803 1.07851i 0.145869 0.0842173i
\(165\) 0.328936 + 11.0151i 0.0256076 + 0.857522i
\(166\) −2.91908 + 5.05599i −0.226564 + 0.392421i
\(167\) −6.61628 3.81991i −0.511983 0.295593i 0.221665 0.975123i \(-0.428851\pi\)
−0.733648 + 0.679529i \(0.762184\pi\)
\(168\) 6.39439 3.95087i 0.493338 0.304817i
\(169\) 10.9628 + 6.98699i 0.843289 + 0.537461i
\(170\) −11.9209 −0.914290
\(171\) 0.168581 + 2.82012i 0.0128917 + 0.215660i
\(172\) 5.72401 0.436452
\(173\) −0.781849 1.35420i −0.0594429 0.102958i 0.834773 0.550595i \(-0.185599\pi\)
−0.894215 + 0.447637i \(0.852266\pi\)
\(174\) 2.70361 5.02334i 0.204960 0.380819i
\(175\) −1.67328 0.966071i −0.126488 0.0730281i
\(176\) −26.7104 15.4212i −2.01337 1.16242i
\(177\) −7.39088 + 13.7324i −0.555532 + 1.03219i
\(178\) −10.8048 18.7145i −0.809854 1.40271i
\(179\) 18.4354 1.37792 0.688962 0.724798i \(-0.258067\pi\)
0.688962 + 0.724798i \(0.258067\pi\)
\(180\) 1.52652 1.00736i 0.113780 0.0750841i
\(181\) −13.1750 −0.979287 −0.489644 0.871923i \(-0.662873\pi\)
−0.489644 + 0.871923i \(0.662873\pi\)
\(182\) 8.13014 7.78142i 0.602646 0.576797i
\(183\) −2.32603 + 1.43717i −0.171945 + 0.106239i
\(184\) 4.74161 + 2.73757i 0.349556 + 0.201816i
\(185\) 1.59498 2.76259i 0.117265 0.203110i
\(186\) 0.848178 + 28.4029i 0.0621914 + 2.08260i
\(187\) −40.6600 + 23.4751i −2.97336 + 1.71667i
\(188\) 4.84632i 0.353454i
\(189\) 5.77739 + 8.21082i 0.420243 + 0.597249i
\(190\) 1.52129i 0.110366i
\(191\) −9.17807 15.8969i −0.664102 1.15026i −0.979528 0.201308i \(-0.935481\pi\)
0.315426 0.948950i \(-0.397853\pi\)
\(192\) −0.222378 7.44676i −0.0160487 0.537423i
\(193\) 3.13840 + 1.81196i 0.225907 + 0.130427i 0.608682 0.793414i \(-0.291698\pi\)
−0.382775 + 0.923841i \(0.625032\pi\)
\(194\) 6.00277 10.3971i 0.430974 0.746469i
\(195\) −4.38067 + 4.45081i −0.313707 + 0.318729i
\(196\) 0.995808 + 1.72479i 0.0711292 + 0.123199i
\(197\) 10.9448i 0.779786i −0.920860 0.389893i \(-0.872512\pi\)
0.920860 0.389893i \(-0.127488\pi\)
\(198\) 13.7962 27.5756i 0.980453 1.95971i
\(199\) 0.431232 0.0305693 0.0152846 0.999883i \(-0.495135\pi\)
0.0152846 + 0.999883i \(0.495135\pi\)
\(200\) −1.94512 + 1.12301i −0.137541 + 0.0794091i
\(201\) 0.522806 0.971382i 0.0368759 0.0685160i
\(202\) −15.1874 8.76843i −1.06858 0.616945i
\(203\) 3.41154 + 1.96965i 0.239443 + 0.138242i
\(204\) 6.86150 + 3.69292i 0.480401 + 0.258556i
\(205\) −1.76906 3.06411i −0.123557 0.214006i
\(206\) 21.9126i 1.52672i
\(207\) −3.27211 + 6.54023i −0.227427 + 0.454577i
\(208\) −4.15274 16.9779i −0.287941 1.17720i
\(209\) 2.99579 + 5.18886i 0.207223 + 0.358921i
\(210\) 2.84164 + 4.59912i 0.196092 + 0.317370i
\(211\) 9.16012 15.8658i 0.630609 1.09225i −0.356819 0.934174i \(-0.616139\pi\)
0.987427 0.158073i \(-0.0505281\pi\)
\(212\) −2.96701 + 5.13901i −0.203775 + 0.352948i
\(213\) 17.8839 0.534057i 1.22539 0.0365930i
\(214\) −1.93325 + 1.11616i −0.132154 + 0.0762993i
\(215\) 9.38902i 0.640326i
\(216\) 11.6239 1.04384i 0.790909 0.0710241i
\(217\) −19.6220 −1.33203
\(218\) 1.56795 + 2.71577i 0.106195 + 0.183935i
\(219\) −0.811862 + 0.0242441i −0.0548606 + 0.00163827i
\(220\) 1.93941 3.35916i 0.130755 0.226474i
\(221\) −25.5429 7.44773i −1.71820 0.500989i
\(222\) −7.59314 + 4.69154i −0.509618 + 0.314875i
\(223\) −4.35267 + 2.51301i −0.291476 + 0.168284i −0.638607 0.769533i \(-0.720489\pi\)
0.347131 + 0.937817i \(0.387156\pi\)
\(224\) −6.45141 −0.431053
\(225\) −1.65236 2.50394i −0.110157 0.166929i
\(226\) 10.4946i 0.698088i
\(227\) 11.2561 6.49869i 0.747091 0.431333i −0.0775508 0.996988i \(-0.524710\pi\)
0.824642 + 0.565655i \(0.191377\pi\)
\(228\) 0.471274 0.875634i 0.0312109 0.0579903i
\(229\) 3.06469 + 1.76940i 0.202520 + 0.116925i 0.597830 0.801623i \(-0.296030\pi\)
−0.395310 + 0.918548i \(0.629363\pi\)
\(230\) −1.96898 + 3.41037i −0.129830 + 0.224873i
\(231\) 18.7491 + 10.0909i 1.23360 + 0.663935i
\(232\) 3.96576 2.28963i 0.260365 0.150322i
\(233\) −23.3569 −1.53016 −0.765080 0.643936i \(-0.777300\pi\)
−0.765080 + 0.643936i \(0.777300\pi\)
\(234\) 16.6953 5.15705i 1.09141 0.337127i
\(235\) 7.94936 0.518559
\(236\) 4.75373 2.74457i 0.309441 0.178656i
\(237\) −4.61108 + 2.84903i −0.299522 + 0.185064i
\(238\) −11.5164 + 19.9470i −0.746499 + 1.29297i
\(239\) 11.3847 + 6.57298i 0.736417 + 0.425171i 0.820765 0.571266i \(-0.193547\pi\)
−0.0843479 + 0.996436i \(0.526881\pi\)
\(240\) 8.39259 0.250623i 0.541740 0.0161776i
\(241\) −8.14646 + 4.70336i −0.524759 + 0.302970i −0.738880 0.673837i \(-0.764645\pi\)
0.214120 + 0.976807i \(0.431312\pi\)
\(242\) 47.6231i 3.06133i
\(243\) 2.31822 + 15.4151i 0.148714 + 0.988880i
\(244\) 0.962388 0.0616106
\(245\) 2.82915 1.63341i 0.180748 0.104355i
\(246\) 0.295499 + 9.89535i 0.0188403 + 0.630905i
\(247\) −0.950447 + 3.25968i −0.0604755 + 0.207408i
\(248\) −11.4049 + 19.7538i −0.724210 + 1.25437i
\(249\) −3.29021 5.32512i −0.208508 0.337466i
\(250\) −0.807720 1.39901i −0.0510847 0.0884813i
\(251\) 15.2020 0.959539 0.479770 0.877394i \(-0.340720\pi\)
0.479770 + 0.877394i \(0.340720\pi\)
\(252\) −0.210866 3.52749i −0.0132833 0.222211i
\(253\) 15.5096i 0.975078i
\(254\) 16.9903 9.80933i 1.06606 0.615492i
\(255\) 6.05745 11.2548i 0.379332 0.704805i
\(256\) −6.70509 + 11.6136i −0.419068 + 0.725847i
\(257\) −12.5970 + 21.8186i −0.785777 + 1.36101i 0.142757 + 0.989758i \(0.454403\pi\)
−0.928534 + 0.371248i \(0.878930\pi\)
\(258\) −12.4504 + 23.1330i −0.775128 + 1.44020i
\(259\) −3.08173 5.33772i −0.191490 0.331670i
\(260\) 2.13518 0.522258i 0.132418 0.0323891i
\(261\) 3.36887 + 5.10510i 0.208528 + 0.315998i
\(262\) 14.7715i 0.912587i
\(263\) 14.8909 + 25.7917i 0.918210 + 1.59039i 0.802132 + 0.597147i \(0.203699\pi\)
0.116079 + 0.993240i \(0.462967\pi\)
\(264\) 21.0562 13.0099i 1.29592 0.800704i
\(265\) 8.42945 + 4.86674i 0.517817 + 0.298962i
\(266\) 2.54555 + 1.46968i 0.156078 + 0.0901116i
\(267\) 23.1592 0.691587i 1.41732 0.0423245i
\(268\) −0.336263 + 0.194142i −0.0205405 + 0.0118591i
\(269\) 2.22833 0.135864 0.0679318 0.997690i \(-0.478360\pi\)
0.0679318 + 0.997690i \(0.478360\pi\)
\(270\) 0.750773 + 8.36043i 0.0456906 + 0.508800i
\(271\) 1.25544i 0.0762627i −0.999273 0.0381313i \(-0.987859\pi\)
0.999273 0.0381313i \(-0.0121405\pi\)
\(272\) 17.8861 + 30.9797i 1.08451 + 1.87842i
\(273\) 3.21543 + 11.6299i 0.194606 + 0.703874i
\(274\) 4.22561 7.31898i 0.255279 0.442155i
\(275\) −5.50999 3.18119i −0.332265 0.191833i
\(276\) 2.18980 1.35300i 0.131810 0.0814411i
\(277\) −9.29877 16.1059i −0.558709 0.967712i −0.997605 0.0691744i \(-0.977964\pi\)
0.438896 0.898538i \(-0.355370\pi\)
\(278\) 15.3338i 0.919658i
\(279\) −27.2470 13.6318i −1.63123 0.816114i
\(280\) 4.33965i 0.259344i
\(281\) 18.4127 10.6306i 1.09841 0.634168i 0.162608 0.986691i \(-0.448009\pi\)
0.935803 + 0.352522i \(0.114676\pi\)
\(282\) −19.5860 10.5413i −1.16633 0.627727i
\(283\) −2.45119 + 4.24559i −0.145708 + 0.252374i −0.929637 0.368477i \(-0.879879\pi\)
0.783929 + 0.620851i \(0.213213\pi\)
\(284\) −5.45390 3.14881i −0.323629 0.186847i
\(285\) −1.43629 0.773025i −0.0850786 0.0457900i
\(286\) 26.7719 25.6236i 1.58305 1.51515i
\(287\) −6.83616 −0.403526
\(288\) −8.95837 4.48192i −0.527877 0.264100i
\(289\) 37.4546 2.20321
\(290\) 1.64680 + 2.85234i 0.0967035 + 0.167495i
\(291\) 6.76596 + 10.9505i 0.396627 + 0.641932i
\(292\) 0.247586 + 0.142944i 0.0144889 + 0.00836516i
\(293\) 2.72771 + 1.57484i 0.159355 + 0.0920034i 0.577557 0.816351i \(-0.304006\pi\)
−0.418202 + 0.908354i \(0.637340\pi\)
\(294\) −9.13659 + 0.272840i −0.532857 + 0.0159124i
\(295\) −4.50188 7.79748i −0.262110 0.453987i
\(296\) −7.16475 −0.416443
\(297\) 19.0245 + 27.0375i 1.10391 + 1.56888i
\(298\) 18.6597 1.08093
\(299\) −6.34961 + 6.07727i −0.367207 + 0.351457i
\(300\) 0.0315189 + 1.05547i 0.00181975 + 0.0609378i
\(301\) −15.7105 9.07046i −0.905538 0.522813i
\(302\) −0.131024 + 0.226939i −0.00753956 + 0.0130589i
\(303\) 15.9958 9.88324i 0.918934 0.567777i
\(304\) 3.95349 2.28255i 0.226748 0.130913i
\(305\) 1.57859i 0.0903899i
\(306\) −29.8492 + 19.6976i −1.70636 + 1.12603i
\(307\) 2.40325i 0.137161i −0.997646 0.0685803i \(-0.978153\pi\)
0.997646 0.0685803i \(-0.0218469\pi\)
\(308\) −3.74722 6.49038i −0.213518 0.369823i
\(309\) −20.6883 11.1346i −1.17692 0.633426i
\(310\) −14.2078 8.20287i −0.806948 0.465892i
\(311\) 7.31456 12.6692i 0.414771 0.718404i −0.580634 0.814165i \(-0.697195\pi\)
0.995404 + 0.0957610i \(0.0305285\pi\)
\(312\) 13.5769 + 3.52261i 0.768641 + 0.199428i
\(313\) 2.39788 + 4.15325i 0.135536 + 0.234755i 0.925802 0.378009i \(-0.123391\pi\)
−0.790266 + 0.612764i \(0.790058\pi\)
\(314\) 26.4574i 1.49308i
\(315\) −5.78610 + 0.345882i −0.326010 + 0.0194882i
\(316\) 1.90782 0.107323
\(317\) −15.0831 + 8.70825i −0.847153 + 0.489104i −0.859689 0.510818i \(-0.829343\pi\)
0.0125365 + 0.999921i \(0.496009\pi\)
\(318\) −14.3152 23.1688i −0.802758 1.29924i
\(319\) 11.2339 + 6.48590i 0.628978 + 0.363141i
\(320\) 3.72504 + 2.15065i 0.208236 + 0.120225i
\(321\) −0.0714427 2.39240i −0.00398754 0.133531i
\(322\) 3.80434 + 6.58932i 0.212008 + 0.367208i
\(323\) 6.94926i 0.386667i
\(324\) 2.15781 5.04473i 0.119878 0.280263i
\(325\) −0.856654 3.50231i −0.0475186 0.194273i
\(326\) 15.0176 + 26.0112i 0.831746 + 1.44063i
\(327\) −3.36076 + 0.100360i −0.185851 + 0.00554994i
\(328\) −3.97337 + 6.88207i −0.219392 + 0.379999i
\(329\) 7.67965 13.3015i 0.423393 0.733338i
\(330\) 9.35728 + 15.1445i 0.515101 + 0.833679i
\(331\) 17.0540 9.84616i 0.937375 0.541194i 0.0482387 0.998836i \(-0.484639\pi\)
0.889137 + 0.457642i \(0.151306\pi\)
\(332\) 2.20326i 0.120919i
\(333\) −0.571050 9.55284i −0.0312933 0.523492i
\(334\) −12.3417 −0.675306
\(335\) 0.318448 + 0.551568i 0.0173987 + 0.0301354i
\(336\) 7.68848 14.2853i 0.419441 0.779328i
\(337\) −4.87555 + 8.44469i −0.265588 + 0.460012i −0.967717 0.252037i \(-0.918899\pi\)
0.702130 + 0.712049i \(0.252233\pi\)
\(338\) 20.9806 + 0.920050i 1.14119 + 0.0500441i
\(339\) 9.90821 + 5.33268i 0.538140 + 0.289632i
\(340\) −3.89608 + 2.24940i −0.211295 + 0.121991i
\(341\) −64.6137 −3.49903
\(342\) 2.51372 + 3.80922i 0.135926 + 0.205979i
\(343\) 19.8370i 1.07110i
\(344\) −18.2628 + 10.5440i −0.984662 + 0.568495i
\(345\) −2.21931 3.59190i −0.119484 0.193381i
\(346\) −2.18763 1.26303i −0.117608 0.0679010i
\(347\) 5.81162 10.0660i 0.311984 0.540372i −0.666808 0.745230i \(-0.732340\pi\)
0.978792 + 0.204858i \(0.0656732\pi\)
\(348\) −0.0642616 2.15193i −0.00344478 0.115355i
\(349\) 22.7822 13.1533i 1.21950 0.704080i 0.254691 0.967023i \(-0.418026\pi\)
0.964812 + 0.262942i \(0.0846929\pi\)
\(350\) −3.12126 −0.166838
\(351\) −3.61461 + 18.3830i −0.192934 + 0.981212i
\(352\) −21.2440 −1.13231
\(353\) −16.3137 + 9.41870i −0.868289 + 0.501307i −0.866779 0.498692i \(-0.833814\pi\)
−0.00150982 + 0.999999i \(0.500481\pi\)
\(354\) 0.751980 + 25.1815i 0.0399673 + 1.33838i
\(355\) −5.16495 + 8.94596i −0.274127 + 0.474802i
\(356\) −7.06263 4.07761i −0.374319 0.216113i
\(357\) −12.9806 21.0088i −0.687007 1.11190i
\(358\) 25.7913 14.8906i 1.36311 0.786994i
\(359\) 6.70817i 0.354044i 0.984207 + 0.177022i \(0.0566463\pi\)
−0.984207 + 0.177022i \(0.943354\pi\)
\(360\) −3.01484 + 6.02599i −0.158896 + 0.317598i
\(361\) 18.1132 0.953325
\(362\) −18.4319 + 10.6417i −0.968761 + 0.559315i
\(363\) 44.9623 + 24.1991i 2.35991 + 1.27012i
\(364\) 1.18885 4.07730i 0.0623125 0.213709i
\(365\) 0.234469 0.406112i 0.0122727 0.0212569i
\(366\) −2.09331 + 3.88940i −0.109419 + 0.203302i
\(367\) 5.58407 + 9.67189i 0.291486 + 0.504868i 0.974161 0.225853i \(-0.0725170\pi\)
−0.682675 + 0.730722i \(0.739184\pi\)
\(368\) 11.8170 0.616006
\(369\) −9.49263 4.74921i −0.494166 0.247234i
\(370\) 5.15320i 0.267902i
\(371\) 16.2869 9.40324i 0.845573 0.488192i
\(372\) 5.63668 + 9.12283i 0.292248 + 0.472997i
\(373\) 5.46832 9.47141i 0.283139 0.490411i −0.689017 0.724745i \(-0.741958\pi\)
0.972156 + 0.234334i \(0.0752909\pi\)
\(374\) −37.9226 + 65.6839i −1.96093 + 3.39643i
\(375\) 1.73128 0.0517001i 0.0894029 0.00266978i
\(376\) −8.92725 15.4624i −0.460388 0.797415i
\(377\) 1.74657 + 7.14059i 0.0899528 + 0.367759i
\(378\) 14.7147 + 6.82052i 0.756842 + 0.350810i
\(379\) 15.8225i 0.812746i 0.913707 + 0.406373i \(0.133207\pi\)
−0.913707 + 0.406373i \(0.866793\pi\)
\(380\) 0.287059 + 0.497201i 0.0147258 + 0.0255059i
\(381\) 0.627870 + 21.0255i 0.0321667 + 1.07717i
\(382\) −25.6805 14.8266i −1.31393 0.758596i
\(383\) 9.03633 + 5.21713i 0.461735 + 0.266583i 0.712774 0.701394i \(-0.247439\pi\)
−0.251039 + 0.967977i \(0.580772\pi\)
\(384\) −12.4057 20.0784i −0.633078 1.02462i
\(385\) −10.6461 + 6.14652i −0.542575 + 0.313256i
\(386\) 5.85422 0.297972
\(387\) −15.5140 23.5095i −0.788622 1.19506i
\(388\) 4.53076i 0.230014i
\(389\) −14.0596 24.3520i −0.712851 1.23469i −0.963783 0.266689i \(-0.914070\pi\)
0.250932 0.968005i \(-0.419263\pi\)
\(390\) −2.53361 + 9.76510i −0.128294 + 0.494475i
\(391\) 8.99429 15.5786i 0.454861 0.787842i
\(392\) −6.35436 3.66869i −0.320944 0.185297i
\(393\) −13.9462 7.50595i −0.703492 0.378625i
\(394\) −8.84036 15.3119i −0.445371 0.771405i
\(395\) 3.12938i 0.157456i
\(396\) −0.694366 11.6157i −0.0348932 0.583713i
\(397\) 6.52799i 0.327630i 0.986491 + 0.163815i \(0.0523801\pi\)
−0.986491 + 0.163815i \(0.947620\pi\)
\(398\) 0.603300 0.348315i 0.0302407 0.0174595i
\(399\) −2.68105 + 1.65653i −0.134220 + 0.0829302i
\(400\) −2.42381 + 4.19817i −0.121191 + 0.209908i
\(401\) 9.25851 + 5.34540i 0.462348 + 0.266937i 0.713031 0.701133i \(-0.247322\pi\)
−0.250683 + 0.968069i \(0.580655\pi\)
\(402\) −0.0531925 1.78126i −0.00265300 0.0888410i
\(403\) −25.3182 26.4528i −1.26119 1.31771i
\(404\) −6.61822 −0.329269
\(405\) −8.27481 3.53942i −0.411179 0.175875i
\(406\) 6.36371 0.315826
\(407\) −10.1479 17.5767i −0.503012 0.871243i
\(408\) −28.6946 + 0.856888i −1.42059 + 0.0424223i
\(409\) 26.5803 + 15.3461i 1.31431 + 0.758818i 0.982807 0.184635i \(-0.0591104\pi\)
0.331505 + 0.943454i \(0.392444\pi\)
\(410\) −4.94988 2.85782i −0.244457 0.141137i
\(411\) 4.76285 + 7.70856i 0.234934 + 0.380235i
\(412\) 4.13478 + 7.16166i 0.203706 + 0.352829i
\(413\) −17.3965 −0.856028
\(414\) 0.704951 + 11.7928i 0.0346464 + 0.579585i
\(415\) 3.61397 0.177403
\(416\) −8.32424 8.69728i −0.408129 0.426419i
\(417\) −14.4770 7.79166i −0.708943 0.381559i
\(418\) 8.38229 + 4.83952i 0.409991 + 0.236709i
\(419\) −8.41035 + 14.5672i −0.410873 + 0.711652i −0.994985 0.100020i \(-0.968109\pi\)
0.584113 + 0.811673i \(0.301443\pi\)
\(420\) 1.79656 + 0.966922i 0.0876630 + 0.0471810i
\(421\) 20.0450 11.5730i 0.976933 0.564033i 0.0755903 0.997139i \(-0.475916\pi\)
0.901343 + 0.433106i \(0.142583\pi\)
\(422\) 29.5953i 1.44068i
\(423\) 19.9047 13.1352i 0.967800 0.638655i
\(424\) 21.8617i 1.06170i
\(425\) 3.68967 + 6.39069i 0.178975 + 0.309994i
\(426\) 24.5885 15.1924i 1.19132 0.736073i
\(427\) −2.64143 1.52503i −0.127828 0.0738015i
\(428\) −0.421227 + 0.729587i −0.0203608 + 0.0352659i
\(429\) 10.5881 + 38.2963i 0.511200 + 1.84896i
\(430\) −7.58370 13.1354i −0.365719 0.633443i
\(431\) 30.8013i 1.48365i 0.670595 + 0.741824i \(0.266039\pi\)
−0.670595 + 0.741824i \(0.733961\pi\)
\(432\) 20.6004 14.4951i 0.991139 0.697397i
\(433\) 7.60315 0.365384 0.182692 0.983170i \(-0.441519\pi\)
0.182692 + 0.983170i \(0.441519\pi\)
\(434\) −27.4515 + 15.8491i −1.31771 + 0.760782i
\(435\) −3.52978 + 0.105407i −0.169240 + 0.00505390i
\(436\) 1.02490 + 0.591727i 0.0490838 + 0.0283386i
\(437\) −1.98807 1.14781i −0.0951022 0.0549073i
\(438\) −1.11622 + 0.689676i −0.0533352 + 0.0329540i
\(439\) 5.40709 + 9.36536i 0.258067 + 0.446984i 0.965724 0.259571i \(-0.0835813\pi\)
−0.707657 + 0.706556i \(0.750248\pi\)
\(440\) 14.2901i 0.681254i
\(441\) 4.38505 8.76474i 0.208812 0.417369i
\(442\) −41.7506 + 10.2121i −1.98587 + 0.485739i
\(443\) −18.3857 31.8450i −0.873531 1.51300i −0.858319 0.513117i \(-0.828491\pi\)
−0.0152125 0.999884i \(-0.504842\pi\)
\(444\) −1.59639 + 2.96611i −0.0757611 + 0.140765i
\(445\) −6.68846 + 11.5847i −0.317063 + 0.549170i
\(446\) −4.05962 + 7.03148i −0.192229 + 0.332950i
\(447\) −9.48169 + 17.6171i −0.448469 + 0.833262i
\(448\) 7.19731 4.15537i 0.340041 0.196323i
\(449\) 22.7851i 1.07530i 0.843169 + 0.537648i \(0.180687\pi\)
−0.843169 + 0.537648i \(0.819313\pi\)
\(450\) −4.33415 2.16840i −0.204314 0.102219i
\(451\) −22.5109 −1.06000
\(452\) −1.98027 3.42992i −0.0931439 0.161330i
\(453\) −0.147682 0.239019i −0.00693869 0.0112301i
\(454\) 10.4982 18.1835i 0.492707 0.853394i
\(455\) −6.68794 1.95005i −0.313536 0.0914198i
\(456\) 0.109352 + 3.66188i 0.00512089 + 0.171483i
\(457\) −4.16837 + 2.40661i −0.194988 + 0.112576i −0.594316 0.804232i \(-0.702577\pi\)
0.399327 + 0.916808i \(0.369244\pi\)
\(458\) 5.71672 0.267125
\(459\) −3.42953 38.1905i −0.160077 1.78258i
\(460\) 1.48614i 0.0692916i
\(461\) 18.5742 10.7238i 0.865087 0.499458i −0.000625808 1.00000i \(-0.500199\pi\)
0.865712 + 0.500542i \(0.166866\pi\)
\(462\) 34.3809 1.02669i 1.59954 0.0477662i
\(463\) 20.1544 + 11.6361i 0.936653 + 0.540777i 0.888910 0.458083i \(-0.151464\pi\)
0.0477435 + 0.998860i \(0.484797\pi\)
\(464\) 4.94173 8.55933i 0.229414 0.397357i
\(465\) 14.9641 9.24577i 0.693942 0.428762i
\(466\) −32.6766 + 18.8658i −1.51371 + 0.873942i
\(467\) 28.0592 1.29842 0.649212 0.760608i \(-0.275099\pi\)
0.649212 + 0.760608i \(0.275099\pi\)
\(468\) 4.48340 4.83578i 0.207245 0.223534i
\(469\) 1.23057 0.0568226
\(470\) 11.1213 6.42086i 0.512985 0.296172i
\(471\) −24.9792 13.4440i −1.15098 0.619467i
\(472\) −10.1114 + 17.5134i −0.465413 + 0.806118i
\(473\) −51.7334 29.8683i −2.37870 1.37334i
\(474\) −4.14974 + 7.71029i −0.190604 + 0.354145i
\(475\) 0.815552 0.470859i 0.0374201 0.0216045i
\(476\) 8.69234i 0.398413i
\(477\) 29.1484 1.74244i 1.33461 0.0797806i
\(478\) 21.2365 0.971336
\(479\) −28.5368 + 16.4757i −1.30388 + 0.752795i −0.981067 0.193668i \(-0.937962\pi\)
−0.322813 + 0.946463i \(0.604628\pi\)
\(480\) 4.91995 3.03986i 0.224564 0.138750i
\(481\) 3.21953 11.0418i 0.146798 0.503462i
\(482\) −7.59800 + 13.1601i −0.346079 + 0.599427i
\(483\) −8.15428 + 0.243506i −0.371033 + 0.0110799i
\(484\) −8.98621 15.5646i −0.408464 0.707481i
\(485\) −7.43175 −0.337458
\(486\) 15.6943 + 19.6935i 0.711909 + 0.893314i
\(487\) 13.2788i 0.601718i −0.953669 0.300859i \(-0.902727\pi\)
0.953669 0.300859i \(-0.0972734\pi\)
\(488\) −3.07055 + 1.77278i −0.138997 + 0.0802501i
\(489\) −32.1889 + 0.961235i −1.45563 + 0.0434686i
\(490\) 2.63868 4.57033i 0.119203 0.206466i
\(491\) 0.0319103 0.0552703i 0.00144009 0.00249431i −0.865304 0.501247i \(-0.832875\pi\)
0.866745 + 0.498752i \(0.166208\pi\)
\(492\) 1.96378 + 3.17832i 0.0885338 + 0.143290i
\(493\) −7.52259 13.0295i −0.338800 0.586820i
\(494\) 1.30322 + 5.32803i 0.0586346 + 0.239719i
\(495\) −19.0531 + 1.13896i −0.856375 + 0.0511924i
\(496\) 49.2305i 2.21051i
\(497\) 9.97942 + 17.2849i 0.447638 + 0.775332i
\(498\) −8.90425 4.79235i −0.399009 0.214750i
\(499\) −26.1316 15.0871i −1.16981 0.675391i −0.216176 0.976354i \(-0.569358\pi\)
−0.953636 + 0.300963i \(0.902692\pi\)
\(500\) −0.527972 0.304825i −0.0236116 0.0136322i
\(501\) 6.27127 11.6521i 0.280180 0.520578i
\(502\) 21.2677 12.2789i 0.949226 0.548036i
\(503\) −18.8547 −0.840690 −0.420345 0.907364i \(-0.638091\pi\)
−0.420345 + 0.907364i \(0.638091\pi\)
\(504\) 7.17066 + 10.8662i 0.319406 + 0.484020i
\(505\) 10.8558i 0.483076i
\(506\) 12.5274 + 21.6981i 0.556910 + 0.964597i
\(507\) −11.5297 + 19.3408i −0.512050 + 0.858956i
\(508\) 3.70193 6.41193i 0.164247 0.284484i
\(509\) 14.0416 + 8.10694i 0.622384 + 0.359334i 0.777797 0.628516i \(-0.216337\pi\)
−0.155412 + 0.987850i \(0.549671\pi\)
\(510\) −0.616310 20.6384i −0.0272907 0.913882i
\(511\) −0.453028 0.784667i −0.0200408 0.0347116i
\(512\) 5.58962i 0.247029i
\(513\) −4.87370 + 0.437662i −0.215179 + 0.0193232i
\(514\) 40.6993i 1.79517i
\(515\) 11.7472 6.78223i 0.517642 0.298861i
\(516\) 0.295932 + 9.90986i 0.0130277 + 0.436257i
\(517\) 25.2884 43.8009i 1.11218 1.92636i
\(518\) −8.62277 4.97836i −0.378863 0.218736i
\(519\) 2.30408 1.42361i 0.101138 0.0624896i
\(520\) −5.85036 + 5.59943i −0.256555 + 0.245551i
\(521\) 5.86377 0.256897 0.128448 0.991716i \(-0.459000\pi\)
0.128448 + 0.991716i \(0.459000\pi\)
\(522\) 8.83658 + 4.42099i 0.386767 + 0.193501i
\(523\) 0.906536 0.0396401 0.0198200 0.999804i \(-0.493691\pi\)
0.0198200 + 0.999804i \(0.493691\pi\)
\(524\) 2.78730 + 4.82774i 0.121764 + 0.210901i
\(525\) 1.58603 2.94687i 0.0692200 0.128612i
\(526\) 41.6650 + 24.0553i 1.81668 + 1.04886i
\(527\) 64.9012 + 37.4707i 2.82714 + 1.63225i
\(528\) 25.3175 47.0404i 1.10180 2.04717i
\(529\) 8.52882 + 14.7723i 0.370818 + 0.642276i
\(530\) 15.7239 0.683001
\(531\) −24.1567 12.0857i −1.04831 0.524475i
\(532\) 1.10928 0.0480933
\(533\) −8.82068 9.21596i −0.382066 0.399188i
\(534\) 31.8414 19.6737i 1.37791 0.851363i
\(535\) 1.19673 + 0.690934i 0.0517393 + 0.0298717i
\(536\) 0.715244 1.23884i 0.0308938 0.0535097i
\(537\) 0.953109 + 31.9168i 0.0411297 + 1.37731i
\(538\) 3.11746 1.79987i 0.134403 0.0775978i
\(539\) 20.7848i 0.895265i
\(540\) 1.82294 + 2.59076i 0.0784469 + 0.111489i
\(541\) 16.5050i 0.709604i −0.934941 0.354802i \(-0.884548\pi\)
0.934941 0.354802i \(-0.115452\pi\)
\(542\) −1.01405 1.75638i −0.0435570 0.0754430i
\(543\) −0.681147 22.8095i −0.0292308 0.978851i
\(544\) 21.3385 + 12.3198i 0.914880 + 0.528206i
\(545\) 0.970602 1.68113i 0.0415760 0.0720118i
\(546\) 13.8921 + 13.6732i 0.594529 + 0.585160i
\(547\) 9.25797 + 16.0353i 0.395842 + 0.685619i 0.993208 0.116350i \(-0.0371194\pi\)
−0.597366 + 0.801969i \(0.703786\pi\)
\(548\) 3.18940i 0.136244i
\(549\) −2.60840 3.95270i −0.111324 0.168697i
\(550\) −10.2781 −0.438258
\(551\) −1.66277 + 0.960000i −0.0708364 + 0.0408974i
\(552\) −4.49435 + 8.35058i −0.191292 + 0.355424i
\(553\) −5.23634 3.02320i −0.222672 0.128560i
\(554\) −26.0182 15.0216i −1.10541 0.638207i
\(555\) 4.86527 + 2.61853i 0.206519 + 0.111151i
\(556\) 2.89339 + 5.01151i 0.122707 + 0.212535i
\(557\) 7.75798i 0.328716i −0.986401 0.164358i \(-0.947445\pi\)
0.986401 0.164358i \(-0.0525552\pi\)
\(558\) −49.1295 + 2.93687i −2.07982 + 0.124327i
\(559\) −8.04314 32.8832i −0.340189 1.39081i
\(560\) 4.68315 + 8.11146i 0.197899 + 0.342772i
\(561\) −42.7441 69.1802i −1.80466 2.92079i
\(562\) 17.1731 29.7447i 0.724404 1.25470i
\(563\) 2.00243 3.46830i 0.0843922 0.146172i −0.820740 0.571302i \(-0.806438\pi\)
0.905132 + 0.425131i \(0.139772\pi\)
\(564\) −8.39033 + 0.250555i −0.353297 + 0.0105503i
\(565\) −5.62606 + 3.24821i −0.236690 + 0.136653i
\(566\) 7.91951i 0.332882i
\(567\) −13.9165 + 10.4268i −0.584439 + 0.437883i
\(568\) 23.2013 0.973503
\(569\) −16.3116 28.2525i −0.683818 1.18441i −0.973807 0.227378i \(-0.926985\pi\)
0.289988 0.957030i \(-0.406349\pi\)
\(570\) −2.63378 + 0.0786509i −0.110317 + 0.00329432i
\(571\) −14.8576 + 25.7341i −0.621771 + 1.07694i 0.367385 + 0.930069i \(0.380253\pi\)
−0.989156 + 0.146869i \(0.953080\pi\)
\(572\) 3.91478 13.4262i 0.163685 0.561378i
\(573\) 27.0474 16.7117i 1.12992 0.698140i
\(574\) −9.56388 + 5.52171i −0.399189 + 0.230472i
\(575\) 2.43770 0.101659
\(576\) 12.8809 0.769996i 0.536705 0.0320832i
\(577\) 10.4768i 0.436157i −0.975931 0.218078i \(-0.930021\pi\)
0.975931 0.218078i \(-0.0699788\pi\)
\(578\) 52.3995 30.2528i 2.17953 1.25835i
\(579\) −2.97475 + 5.52713i −0.123626 + 0.229700i
\(580\) 1.07644 + 0.621484i 0.0446968 + 0.0258057i
\(581\) 3.49135 6.04720i 0.144846 0.250880i
\(582\) 18.3106 + 9.85494i 0.759000 + 0.408501i
\(583\) 53.6314 30.9641i 2.22119 1.28240i
\(584\) −1.05325 −0.0435837
\(585\) −7.93207 7.35406i −0.327951 0.304053i
\(586\) 5.08814 0.210189
\(587\) 38.9457 22.4853i 1.60746 0.928068i 0.617525 0.786552i \(-0.288136\pi\)
0.989936 0.141516i \(-0.0451977\pi\)
\(588\) −2.93461 + 1.81319i −0.121021 + 0.0747749i
\(589\) 4.78185 8.28241i 0.197033 0.341271i
\(590\) −12.5964 7.27252i −0.518584 0.299405i
\(591\) 18.9485 0.565848i 0.779439 0.0232759i
\(592\) −13.3920 + 7.73188i −0.550408 + 0.317778i
\(593\) 36.4423i 1.49651i 0.663414 + 0.748253i \(0.269107\pi\)
−0.663414 + 0.748253i \(0.730893\pi\)
\(594\) 48.4542 + 22.4594i 1.98810 + 0.921521i
\(595\) 14.2579 0.584518
\(596\) 6.09852 3.52098i 0.249805 0.144225i
\(597\) 0.0222947 + 0.746584i 0.000912463 + 0.0305556i
\(598\) −3.97445 + 13.6309i −0.162527 + 0.557408i
\(599\) 23.6127 40.8983i 0.964787 1.67106i 0.254601 0.967046i \(-0.418056\pi\)
0.710186 0.704014i \(-0.248611\pi\)
\(600\) −2.04481 3.30948i −0.0834792 0.135109i
\(601\) 10.1585 + 17.5950i 0.414374 + 0.717716i 0.995362 0.0961952i \(-0.0306673\pi\)
−0.580989 + 0.813912i \(0.697334\pi\)
\(602\) −29.3056 −1.19441
\(603\) 1.70876 + 0.854903i 0.0695862 + 0.0348143i
\(604\) 0.0988936i 0.00402392i
\(605\) −25.5304 + 14.7400i −1.03796 + 0.599265i
\(606\) 14.3954 26.7469i 0.584774 1.08652i
\(607\) 20.8842 36.1725i 0.847664 1.46820i −0.0356232 0.999365i \(-0.511342\pi\)
0.883287 0.468832i \(-0.155325\pi\)
\(608\) 1.57220 2.72313i 0.0637610 0.110437i
\(609\) −3.23364 + 6.00815i −0.131034 + 0.243463i
\(610\) −1.27506 2.20847i −0.0516257 0.0894184i
\(611\) 27.8411 6.80985i 1.12633 0.275497i
\(612\) −6.03873 + 12.0701i −0.244101 + 0.487904i
\(613\) 11.4010i 0.460480i 0.973134 + 0.230240i \(0.0739512\pi\)
−0.973134 + 0.230240i \(0.926049\pi\)
\(614\) −1.94115 3.36217i −0.0783385 0.135686i
\(615\) 5.21336 3.22116i 0.210223 0.129890i
\(616\) 23.9114 + 13.8053i 0.963418 + 0.556230i
\(617\) −31.6507 18.2735i −1.27421 0.735665i −0.298431 0.954431i \(-0.596463\pi\)
−0.975777 + 0.218767i \(0.929797\pi\)
\(618\) −37.9368 + 1.13288i −1.52604 + 0.0455712i
\(619\) 2.95784 1.70771i 0.118886 0.0686387i −0.439378 0.898302i \(-0.644801\pi\)
0.558264 + 0.829664i \(0.311468\pi\)
\(620\) −6.19134 −0.248650
\(621\) −11.4921 5.32680i −0.461163 0.213757i
\(622\) 23.6325i 0.947576i
\(623\) 12.9231 + 22.3834i 0.517751 + 0.896771i
\(624\) 29.1787 8.06731i 1.16808 0.322951i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 6.70932 + 3.87363i 0.268158 + 0.154821i
\(627\) −8.82848 + 5.45481i −0.352576 + 0.217844i
\(628\) 4.99236 + 8.64703i 0.199217 + 0.345054i
\(629\) 23.5398i 0.938594i
\(630\) −7.81545 + 5.15744i −0.311375 + 0.205477i
\(631\) 40.2529i 1.60244i −0.598367 0.801222i \(-0.704184\pi\)
0.598367 0.801222i \(-0.295816\pi\)
\(632\) −6.08701 + 3.51434i −0.242128 + 0.139793i
\(633\) 27.9417 + 15.0385i 1.11058 + 0.597725i
\(634\) −14.0677 + 24.3659i −0.558698 + 0.967693i
\(635\) −10.5174 6.07223i −0.417371 0.240969i
\(636\) −9.05045 4.87103i −0.358874 0.193149i
\(637\) 8.50929 8.14431i 0.337150 0.322689i
\(638\) 20.9552 0.829623
\(639\) 1.84920 + 30.9345i 0.0731533 + 1.22375i
\(640\) 13.6265 0.538634
\(641\) −6.16833 10.6839i −0.243634 0.421987i 0.718112 0.695927i \(-0.245006\pi\)
−0.961747 + 0.273940i \(0.911673\pi\)
\(642\) −2.03234 3.28929i −0.0802100 0.129818i
\(643\) −35.6794 20.5995i −1.40706 0.812365i −0.411955 0.911204i \(-0.635154\pi\)
−0.995103 + 0.0988389i \(0.968487\pi\)
\(644\) 2.48673 + 1.43572i 0.0979911 + 0.0565752i
\(645\) 16.2550 0.485413i 0.640040 0.0191131i
\(646\) −5.61306 9.72210i −0.220843 0.382511i
\(647\) −4.93239 −0.193912 −0.0969561 0.995289i \(-0.530911\pi\)
−0.0969561 + 0.995289i \(0.530911\pi\)
\(648\) 2.40813 + 20.0703i 0.0946004 + 0.788436i
\(649\) −57.2854 −2.24865
\(650\) −4.02735 4.20783i −0.157966 0.165045i
\(651\) −1.01446 33.9712i −0.0397598 1.33144i
\(652\) 9.81633 + 5.66746i 0.384437 + 0.221955i
\(653\) −19.0930 + 33.0701i −0.747168 + 1.29413i 0.202006 + 0.979384i \(0.435254\pi\)
−0.949175 + 0.314749i \(0.898079\pi\)
\(654\) −4.62069 + 2.85496i −0.180683 + 0.111638i
\(655\) 7.91889 4.57197i 0.309417 0.178642i
\(656\) 17.1515i 0.669654i
\(657\) −0.0839467 1.40431i −0.00327507 0.0547872i
\(658\) 24.8120i 0.967274i
\(659\) 18.0188 + 31.2095i 0.701913 + 1.21575i 0.967794 + 0.251743i \(0.0810037\pi\)
−0.265881 + 0.964006i \(0.585663\pi\)
\(660\) 5.91591 + 3.18399i 0.230276 + 0.123937i
\(661\) −33.2598 19.2026i −1.29366 0.746894i −0.314357 0.949305i \(-0.601789\pi\)
−0.979301 + 0.202411i \(0.935122\pi\)
\(662\) 15.9059 27.5498i 0.618200 1.07075i
\(663\) 11.5735 44.6070i 0.449479 1.73239i
\(664\) −4.05854 7.02960i −0.157502 0.272802i
\(665\) 1.81954i 0.0705585i
\(666\) −8.51493 12.9033i −0.329947 0.499993i
\(667\) −4.97004 −0.192441
\(668\) −4.03361 + 2.32880i −0.156065 + 0.0901042i
\(669\) −4.57576 7.40576i −0.176909 0.286323i
\(670\) 0.891026 + 0.514434i 0.0344233 + 0.0198743i
\(671\) −8.69802 5.02181i −0.335784 0.193865i
\(672\) −0.333539 11.1692i −0.0128665 0.430861i
\(673\) −0.588557 1.01941i −0.0226872 0.0392954i 0.854459 0.519519i \(-0.173889\pi\)
−0.877146 + 0.480224i \(0.840556\pi\)
\(674\) 15.7523i 0.606756i
\(675\) 4.24959 2.99015i 0.163567 0.115091i
\(676\) 7.03065 3.65822i 0.270410 0.140701i
\(677\) 3.49842 + 6.05943i 0.134455 + 0.232883i 0.925389 0.379018i \(-0.123738\pi\)
−0.790934 + 0.611901i \(0.790405\pi\)
\(678\) 18.1690 0.542570i 0.697777 0.0208373i
\(679\) −7.17960 + 12.4354i −0.275528 + 0.477228i
\(680\) 8.28710 14.3537i 0.317796 0.550439i
\(681\) 11.8330 + 19.1514i 0.453441 + 0.733883i
\(682\) −90.3954 + 52.1898i −3.46142 + 1.99845i
\(683\) 17.7492i 0.679155i −0.940578 0.339577i \(-0.889716\pi\)
0.940578 0.339577i \(-0.110284\pi\)
\(684\) 1.54033 + 0.770636i 0.0588961 + 0.0294660i
\(685\) −5.23153 −0.199886
\(686\) −16.0227 27.7522i −0.611751 1.05958i
\(687\) −2.90488 + 5.39731i −0.110828 + 0.205920i
\(688\) −22.7572 + 39.4167i −0.867611 + 1.50275i
\(689\) 33.6916 + 9.82370i 1.28355 + 0.374253i
\(690\) −6.00609 3.23253i −0.228648 0.123060i
\(691\) −11.6578 + 6.73061i −0.443482 + 0.256044i −0.705074 0.709134i \(-0.749086\pi\)
0.261592 + 0.965179i \(0.415753\pi\)
\(692\) −0.953307 −0.0362393
\(693\) −16.5009 + 32.9817i −0.626817 + 1.25287i
\(694\) 18.7766i 0.712752i
\(695\) 8.22031 4.74600i 0.311814 0.180026i
\(696\) 4.16902 + 6.74746i 0.158026 + 0.255762i
\(697\) 22.6111 + 13.0545i 0.856455 + 0.494475i
\(698\) 21.2484 36.8033i 0.804263 1.39302i
\(699\) −1.20755 40.4373i −0.0456738 1.52948i
\(700\) −1.02012 + 0.588965i −0.0385568 + 0.0222608i
\(701\) −5.70172 −0.215351 −0.107676 0.994186i \(-0.534341\pi\)
−0.107676 + 0.994186i \(0.534341\pi\)
\(702\) 9.79143 + 28.6376i 0.369554 + 1.08086i
\(703\) 3.00405 0.113300
\(704\) 23.7001 13.6833i 0.893232 0.515708i
\(705\) 0.410982 + 13.7626i 0.0154785 + 0.518328i
\(706\) −15.2154 + 26.3538i −0.572638 + 0.991837i
\(707\) 18.1648 + 10.4875i 0.683158 + 0.394421i
\(708\) 4.99738 + 8.08814i 0.187813 + 0.303971i
\(709\) 7.09173 4.09441i 0.266335 0.153769i −0.360886 0.932610i \(-0.617526\pi\)
0.627221 + 0.778841i \(0.284192\pi\)
\(710\) 16.6873i 0.626265i
\(711\) −5.17085 7.83577i −0.193922 0.293864i
\(712\) 30.0449 1.12598
\(713\) 21.4395 12.3781i 0.802916 0.463564i
\(714\) −35.1293 18.9069i −1.31468 0.707572i
\(715\) −22.0228 6.42136i −0.823608 0.240145i
\(716\) 5.61955 9.73335i 0.210012 0.363752i
\(717\) −10.7911 + 20.0500i −0.403000 + 0.748780i
\(718\) 5.41832 + 9.38481i 0.202210 + 0.350238i
\(719\) −18.0584 −0.673464 −0.336732 0.941601i \(-0.609322\pi\)
−0.336732 + 0.941601i \(0.609322\pi\)
\(720\) 0.867795 + 14.5170i 0.0323408 + 0.541015i
\(721\) 26.2085i 0.976055i
\(722\) 25.3406 14.6304i 0.943078 0.544486i
\(723\) −8.56400 13.8606i −0.318498 0.515482i
\(724\) −4.01605 + 6.95601i −0.149255 + 0.258518i
\(725\) 1.01941 1.76567i 0.0378600 0.0655755i
\(726\) 82.4489 2.46212i 3.05997 0.0913778i
\(727\) −1.24281 2.15262i −0.0460934 0.0798362i 0.842058 0.539387i \(-0.181344\pi\)
−0.888152 + 0.459550i \(0.848011\pi\)
\(728\) 3.71758 + 15.1988i 0.137783 + 0.563304i
\(729\) −26.5680 + 4.81044i −0.984001 + 0.178165i
\(730\) 0.757542i 0.0280379i
\(731\) 34.6424 + 60.0023i 1.28129 + 2.21927i
\(732\) 0.0497555 + 1.66616i 0.00183902 + 0.0615831i
\(733\) 31.2386 + 18.0356i 1.15382 + 0.666160i 0.949816 0.312810i \(-0.101270\pi\)
0.204006 + 0.978970i \(0.434604\pi\)
\(734\) 15.6244 + 9.02073i 0.576706 + 0.332961i
\(735\) 2.97416 + 4.81361i 0.109704 + 0.177553i
\(736\) 7.04897 4.06973i 0.259829 0.150012i
\(737\) 4.05218 0.149264
\(738\) −17.1163 + 1.02318i −0.630061 + 0.0376638i
\(739\) 39.3108i 1.44607i 0.690810 + 0.723036i \(0.257254\pi\)
−0.690810 + 0.723036i \(0.742746\pi\)
\(740\) −0.972380 1.68421i −0.0357454 0.0619128i
\(741\) −5.69255 1.47696i −0.209121 0.0542576i
\(742\) 15.1904 26.3105i 0.557657 0.965889i
\(743\) −4.70265 2.71508i −0.172524 0.0996066i 0.411252 0.911522i \(-0.365092\pi\)
−0.583775 + 0.811915i \(0.698425\pi\)
\(744\) −34.7890 18.7237i −1.27543 0.686445i
\(745\) −5.77542 10.0033i −0.211595 0.366493i
\(746\) 17.6675i 0.646853i
\(747\) 9.04917 5.97158i 0.331092 0.218489i
\(748\) 28.6231i 1.04657i
\(749\) 2.31226 1.33498i 0.0844881 0.0487792i
\(750\) 2.38032 1.47072i 0.0869171 0.0537030i
\(751\) −4.30744 + 7.46071i −0.157181 + 0.272245i −0.933851 0.357662i \(-0.883574\pi\)
0.776670 + 0.629907i \(0.216907\pi\)
\(752\) −33.3727 19.2678i −1.21698 0.702623i
\(753\) 0.785943 + 26.3188i 0.0286413 + 0.959112i
\(754\) 8.21107 + 8.57904i 0.299030 + 0.312430i
\(755\) 0.162214 0.00590357
\(756\) 6.09617 0.547440i 0.221716 0.0199102i
\(757\) −4.32671 −0.157257 −0.0786285 0.996904i \(-0.525054\pi\)
−0.0786285 + 0.996904i \(0.525054\pi\)
\(758\) 12.7801 + 22.1358i 0.464195 + 0.804010i
\(759\) −26.8514 + 0.801845i −0.974643 + 0.0291051i
\(760\) −1.83175 1.05756i −0.0664447 0.0383619i
\(761\) −20.0754 11.5906i −0.727734 0.420158i 0.0898584 0.995955i \(-0.471359\pi\)
−0.817593 + 0.575797i \(0.804692\pi\)
\(762\) 17.8611 + 28.9077i 0.647039 + 1.04722i
\(763\) −1.87534 3.24819i −0.0678919 0.117592i
\(764\) −11.1908 −0.404869
\(765\) 19.7984 + 9.90525i 0.715813 + 0.358125i
\(766\) 16.8559 0.609029
\(767\) −22.4467 23.4526i −0.810503 0.846825i
\(768\) −20.4530 11.0080i −0.738033 0.397216i
\(769\) −15.6057 9.00997i −0.562757 0.324908i 0.191494 0.981494i \(-0.438667\pi\)
−0.754251 + 0.656586i \(0.772000\pi\)
\(770\) −9.92934 + 17.1981i −0.357828 + 0.619777i
\(771\) −38.4253 20.6808i −1.38385 0.744802i
\(772\) 1.91332 1.10466i 0.0688620 0.0397575i
\(773\) 7.69962i 0.276936i −0.990367 0.138468i \(-0.955782\pi\)
0.990367 0.138468i \(-0.0442178\pi\)
\(774\) −40.6934 20.3591i −1.46270 0.731794i