Properties

Label 585.2.bt.b.376.13
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 376.13
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.13

$q$-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} +(2.60476 - 2.49304i) 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} +(-4.18148 - 4.63845i) 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} +(2.11025 + 0.615300i) 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} +(1.00927 - 3.46141i) 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} +(2.10336 + 9.86672i) 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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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 \(-0.526834\pi\)
−0.905050 + 0.425304i \(0.860167\pi\)
\(3\) 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 \(-0.214354\pi\)
−0.149255 + 0.988799i \(0.547688\pi\)
\(8\) 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 0.972084 + 0.234632i \(0.0753886\pi\)
0.689240 + 0.724534i \(0.257945\pi\)
\(12\) 0.929826 0.500440i 0.268418 0.144465i
\(13\) 2.60476 2.49304i 0.722430 0.691444i
\(14\) −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 0.964664 0.263485i \(-0.0848718\pi\)
−0.710516 + 0.703681i \(0.751539\pi\)
\(24\) 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 −0.945017 0.327021i \(-0.893955\pi\)
0.755717 + 0.654898i \(0.227289\pi\)
\(30\) −0.0835184 + 2.79678i −0.0152483 + 0.510620i
\(31\) −8.79499 + 5.07779i −1.57963 + 0.911998i −0.584716 + 0.811238i \(0.698794\pi\)
−0.994911 + 0.100760i \(0.967872\pi\)
\(32\) −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
\(39\) −4.18148 4.63845i −0.669572 0.742747i
\(40\) 1.12301 + 1.94512i 0.177564 + 0.307550i
\(41\) −3.06411 + 1.76906i −0.478533 + 0.276281i −0.719805 0.694176i \(-0.755769\pi\)
0.241272 + 0.970458i \(0.422435\pi\)
\(42\) −4.76049 + 2.56214i −0.734560 + 0.395346i
\(43\) 4.69451 8.13113i 0.715906 1.23999i −0.246703 0.969091i \(-0.579347\pi\)
0.962609 0.270894i \(-0.0873194\pi\)
\(44\) 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 \(-0.136477\pi\)
0.0947013 + 0.995506i \(0.469810\pi\)
\(48\) −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
\(52\) 2.11025 + 0.615300i 0.292639 + 0.0853267i
\(53\) −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 \(-0.866002\pi\)
−0.102452 + 0.994738i \(0.532669\pi\)
\(60\) 0.555033 0.898307i 0.0716544 0.115971i
\(61\) 0.789296 1.36710i 0.101059 0.175039i −0.811062 0.584960i \(-0.801110\pi\)
0.912121 + 0.409921i \(0.134444\pi\)
\(62\) 16.4057 2.08353
\(63\) −4.83797 3.19259i −0.609527 0.402229i
\(64\) −4.30130 −0.537663
\(65\) 1.00927 3.46141i 0.125184 0.429335i
\(66\) −15.6759 + 8.43691i −1.92957 + 1.03851i
\(67\) 0.551568 0.318448i 0.0673848 0.0389046i −0.465929 0.884822i \(-0.654280\pi\)
0.533314 + 0.845917i \(0.320946\pi\)
\(68\) 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
\(78\) 2.10336 + 9.86672i 0.238159 + 1.11719i
\(79\) 1.56469 2.71012i 0.176041 0.304912i −0.764480 0.644648i \(-0.777004\pi\)
0.940521 + 0.339735i \(0.110337\pi\)
\(80\) 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 \(-0.269778\pi\)
−0.318297 + 0.947991i \(0.603111\pi\)
\(84\) 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 \(-0.456477\pi\)
−0.789790 + 0.613377i \(0.789811\pi\)
\(98\) 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 0.458803 + 0.888538i \(0.348278\pi\)
−0.998898 + 0.0469340i \(0.985055\pi\)
\(102\) −10.8529 + 17.5652i −1.07460 + 1.73921i
\(103\) −6.78223 11.7472i −0.668273 1.15748i −0.978387 0.206784i \(-0.933700\pi\)
0.310113 0.950700i \(-0.399633\pi\)
\(104\) 5.59943 + 5.85036i 0.549070 + 0.573675i
\(105\) 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 0.977387 0.211458i \(-0.0678212\pi\)
−0.671822 + 0.740713i \(0.734488\pi\)
\(114\) 2.24159 + 1.38500i 0.209945 + 0.129717i
\(115\) 2.11111 + 1.21885i 0.196862 + 0.113658i
\(116\) −1.24297 −0.115407
\(117\) −8.24664 + 6.99949i −0.762402 + 0.647103i
\(118\) 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
\(130\) −4.20783 + 4.02735i −0.369051 + 0.353222i
\(131\) −4.57197 7.91889i −0.399455 0.691877i 0.594204 0.804315i \(-0.297467\pi\)
−0.993659 + 0.112438i \(0.964134\pi\)
\(132\) 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 \(-0.405075\pi\)
−0.680893 + 0.732382i \(0.738408\pi\)
\(138\) −6.81770 0.203592i −0.580361 0.0173309i
\(139\) −4.74600 8.22031i −0.402550 0.697238i 0.591483 0.806318i \(-0.298543\pi\)
−0.994033 + 0.109080i \(0.965210\pi\)
\(140\) 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 \(-0.823547\pi\)
0.0307413 + 0.999527i \(0.490213\pi\)
\(150\) 1.32606 + 2.46384i 0.108272 + 0.201172i
\(151\) 0.140481 + 0.0811070i 0.0114322 + 0.00660039i 0.505705 0.862706i \(-0.331232\pi\)
−0.494273 + 0.869307i \(0.664566\pi\)
\(152\) 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
\(156\) 1.17436 3.62162i 0.0940237 0.289961i
\(157\) −8.18891 14.1836i −0.653546 1.13198i −0.982256 0.187544i \(-0.939947\pi\)
0.328710 0.944431i \(-0.393386\pi\)
\(158\) −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 \(-0.571149\pi\)
0.733648 + 0.679529i \(0.237816\pi\)
\(168\) 6.39439 + 3.95087i 0.493338 + 0.304817i
\(169\) 0.569535 12.9875i 0.0438104 0.999040i
\(170\) −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 −0.894215 0.447637i \(-0.852266\pi\)
0.834773 + 0.550595i \(0.185599\pi\)
\(174\) −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 \(0.662873\pi\)
\(182\) −10.8040 3.15019i −0.800844 0.233508i
\(183\) −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 0.315426 + 0.948950i \(0.397853\pi\)
−0.979528 + 0.201308i \(0.935481\pi\)
\(192\) −0.222378 + 7.44676i −0.0160487 + 0.537423i
\(193\) −3.13840 + 1.81196i −0.225907 + 0.130427i −0.608682 0.793414i \(-0.708302\pi\)
0.382775 + 0.923841i \(0.374968\pi\)
\(194\) 6.00277 + 10.3971i 0.430974 + 0.746469i
\(195\) −5.94049 1.92628i −0.425407 0.137944i
\(196\) 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 0.987427 + 0.158073i \(0.0505281\pi\)
−0.356819 + 0.934174i \(0.616139\pi\)
\(212\) −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
\(221\) 19.2214 18.3970i 1.29297 1.23751i
\(222\) −7.59314 4.69154i −0.509618 0.314875i
\(223\) 4.35267 + 2.51301i 0.291476 + 0.168284i 0.638607 0.769533i \(-0.279511\pi\)
−0.347131 + 0.937817i \(0.612844\pi\)
\(224\) −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 \(-0.475290\pi\)
−0.824642 + 0.565655i \(0.808623\pi\)
\(228\) −0.471274 0.875634i −0.0312109 0.0579903i
\(229\) −3.06469 + 1.76940i −0.202520 + 0.116925i −0.597830 0.801623i \(-0.703970\pi\)
0.395310 + 0.918548i \(0.370637\pi\)
\(230\) −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 \(0.777300\pi\)
\(234\) 17.1908 3.13140i 1.12380 0.204706i
\(235\) 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 \(-0.806453\pi\)
0.0843479 + 0.996436i \(0.473119\pi\)
\(240\) −8.39259 0.250623i −0.541740 0.0161776i
\(241\) 8.14646 + 4.70336i 0.524759 + 0.302970i 0.738880 0.673837i \(-0.235355\pi\)
−0.214120 + 0.976807i \(0.568688\pi\)
\(242\) 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
\(247\) −2.34774 2.45295i −0.149383 0.156077i
\(248\) −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 −0.928534 0.371248i \(-0.878930\pi\)
0.142757 0.989758i \(-0.454403\pi\)
\(258\) 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 0.116079 0.993240i \(-0.462967\pi\)
0.802132 0.597147i \(-0.203699\pi\)
\(264\) 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
\(273\) −2.51572 11.8011i −0.152258 0.714233i
\(274\) 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 0.438896 + 0.898538i \(0.355370\pi\)
−0.997605 + 0.0691744i \(0.977964\pi\)
\(278\) 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 \(-0.551991\pi\)
−0.935803 + 0.352522i \(0.885324\pi\)
\(282\) −19.5860 + 10.5413i −1.16633 + 0.627727i
\(283\) −2.45119 4.24559i −0.145708 0.252374i 0.783929 0.620851i \(-0.213213\pi\)
−0.929637 + 0.368477i \(0.879879\pi\)
\(284\) 5.45390 3.14881i 0.323629 0.186847i
\(285\) −1.43629 + 0.773025i −0.0850786 + 0.0457900i
\(286\) −35.5766 10.3733i −2.10369 0.613387i
\(287\) −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 \(-0.695994\pi\)
0.418202 + 0.908354i \(0.362660\pi\)
\(294\) 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
\(299\) 8.43787 + 2.46029i 0.487975 + 0.142282i
\(300\) 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 0.995404 0.0957610i \(-0.0305285\pi\)
−0.580634 + 0.814165i \(0.697195\pi\)
\(312\) 10.4181 9.39172i 0.589809 0.531701i
\(313\) 2.39788 4.15325i 0.135536 0.234755i −0.790266 0.612764i \(-0.790058\pi\)
0.925802 + 0.378009i \(0.123391\pi\)
\(314\) 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 \(-0.170657\pi\)
−0.0125365 + 0.999921i \(0.503991\pi\)
\(318\) 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 \(-0.515361\pi\)
−0.889137 + 0.457642i \(0.848694\pi\)
\(332\) 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 0.702130 0.712049i \(-0.252233\pi\)
−0.967717 + 0.252037i \(0.918899\pi\)
\(338\) −11.2871 + 17.7097i −0.613936 + 0.963280i
\(339\) 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 0.978792 0.204858i \(-0.0656732\pi\)
−0.666808 + 0.745230i \(0.732340\pi\)
\(348\) −0.0642616 + 2.15193i −0.00344478 + 0.115355i
\(349\) −22.7822 13.1533i −1.21950 0.704080i −0.254691 0.967023i \(-0.581974\pi\)
−0.964812 + 0.262942i \(0.915307\pi\)
\(350\) −3.12126 −0.166838
\(351\) 11.6917 + 14.6391i 0.624058 + 0.781378i
\(352\) −21.2440 −1.13231
\(353\) 16.3137 + 9.41870i 0.868289 + 0.501307i 0.866779 0.498692i \(-0.166186\pi\)
0.00150982 + 0.999999i \(0.499519\pi\)
\(354\) 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
\(364\) 2.93662 + 3.06822i 0.153921 + 0.160819i
\(365\) 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 −0.682675 0.730722i \(-0.739184\pi\)
0.974161 + 0.225853i \(0.0725170\pi\)
\(368\) 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 0.972156 0.234334i \(-0.0752909\pi\)
−0.689017 + 0.724745i \(0.741958\pi\)
\(374\) −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 \(-0.752561\pi\)
0.251039 + 0.967977i \(0.419228\pi\)
\(384\) 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 0.250932 + 0.968005i \(0.419263\pi\)
−0.963783 + 0.266689i \(0.914070\pi\)
\(390\) 6.75493 + 7.49315i 0.342049 + 0.379430i
\(391\) 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 \(-0.752678\pi\)
0.250683 + 0.968069i \(0.419345\pi\)
\(402\) −0.0531925 + 1.78126i −0.00265300 + 0.0888410i
\(403\) −10.2497 + 35.1527i −0.510574 + 1.75108i
\(404\) −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 \(-0.940890\pi\)
−0.331505 + 0.943454i \(0.607556\pi\)
\(410\) 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
\(416\) −3.36994 + 11.5576i −0.165225 + 0.566660i
\(417\) −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 0.584113 0.811673i \(-0.301443\pi\)
−0.994985 + 0.100020i \(0.968109\pi\)
\(420\) 1.79656 0.966922i 0.0876630 0.0471810i
\(421\) −20.0450 11.5730i −0.976933 0.564033i −0.0755903 0.997139i \(-0.524084\pi\)
−0.901343 + 0.433106i \(0.857417\pi\)
\(422\) 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
\(429\) −8.28406 38.8599i −0.399958 1.87617i
\(430\) −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 −0.707657 0.706556i \(-0.750248\pi\)
0.965724 + 0.259571i \(0.0835813\pi\)
\(440\) 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 −0.0152125 + 0.999884i \(0.504842\pi\)
−0.858319 + 0.513117i \(0.828491\pi\)
\(444\) 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
\(455\) 5.03277 4.81690i 0.235940 0.225820i
\(456\) 0.109352 3.66188i 0.00512089 0.171483i
\(457\) 4.16837 + 2.40661i 0.194988 + 0.112576i 0.594316 0.804232i \(-0.297423\pi\)
−0.399327 + 0.916808i \(0.630756\pi\)
\(458\) 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 \(-0.499801\pi\)
−0.865712 + 0.500542i \(0.833134\pi\)
\(462\) −34.3809 1.02669i −1.59954 0.0477662i
\(463\) −20.1544 + 11.6361i −0.936653 + 0.540777i −0.888910 0.458083i \(-0.848536\pi\)
−0.0477435 + 0.998860i \(0.515203\pi\)
\(464\) 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 \(0.275099\pi\)
\(468\) −6.20931 2.22038i −0.287026 0.102637i
\(469\) 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 \(-0.0620383\pi\)
0.322813 + 0.946463i \(0.395372\pi\)
\(480\) 4.91995 + 3.03986i 0.224564 + 0.138750i
\(481\) 7.95270 + 8.30909i 0.362612 + 0.378862i
\(482\) −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 0.866745 0.498752i \(-0.166208\pi\)
−0.865304 + 0.501247i \(0.832875\pi\)
\(492\) −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 \(-0.430642\pi\)
0.953636 + 0.300963i \(0.0973082\pi\)
\(500\) 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
\(507\) −22.4556 1.65748i −0.997287 0.0736113i
\(508\) 3.70193 + 6.41193i 0.164247 + 0.284484i
\(509\) −14.0416 + 8.10694i −0.622384 + 0.359334i −0.777797 0.628516i \(-0.783663\pi\)
0.155412 + 0.987850i \(0.450329\pi\)
\(510\) −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
\(520\) 7.77443 + 2.26685i 0.340932 + 0.0994078i
\(521\) 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
\(533\) −3.57092 + 12.2469i −0.154674 + 0.530473i
\(534\) 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
\(546\) −6.01243 + 18.5418i −0.257308 + 0.793517i
\(547\) 9.25797 16.0353i 0.395842 0.685619i −0.597366 0.801969i \(-0.703786\pi\)
0.993208 + 0.116350i \(0.0371194\pi\)
\(548\) 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 0.905132 0.425131i \(-0.139772\pi\)
−0.820740 + 0.571302i \(0.806438\pi\)
\(564\) 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 0.289988 + 0.957030i \(0.406349\pi\)
−0.973807 + 0.227378i \(0.926985\pi\)
\(570\) 2.63378 + 0.0786509i 0.110317 + 0.00329432i
\(571\) −14.8576 25.7341i −0.621771 1.07694i −0.989156 0.146869i \(-0.953080\pi\)
0.367385 0.930069i \(-0.380253\pi\)
\(572\) 9.67005 + 10.1034i 0.404325 + 0.422444i
\(573\) 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
\(585\) −3.64205 + 10.1851i −0.150580 + 0.421100i
\(586\) 5.08814 0.210189
\(587\) −38.9457 22.4853i −1.60746 0.928068i −0.989936 0.141516i \(-0.954802\pi\)
−0.617525 0.786552i \(-0.711864\pi\)
\(588\) −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
\(598\) −9.81746 10.2574i −0.401466 0.419457i
\(599\) 23.6127 + 40.8983i 0.964787 + 1.67106i 0.710186 + 0.704014i \(0.248611\pi\)
0.254601 + 0.967046i \(0.418056\pi\)
\(600\) 2.04481 3.30948i 0.0834792 0.135109i
\(601\) 10.1585 17.5950i 0.414374 0.717716i −0.580989 0.813912i \(-0.697334\pi\)
0.995362 + 0.0961952i \(0.0306673\pi\)
\(602\) −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 0.883287 + 0.468832i \(0.155325\pi\)
−0.0356232 + 0.999365i \(0.511342\pi\)
\(608\) 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 \(-0.403537\pi\)
0.975777 + 0.218767i \(0.0702033\pi\)
\(618\) 37.9368 + 1.13288i 1.52604 + 0.0455712i
\(619\) −2.95784 1.70771i −0.118886 0.0686387i 0.439378 0.898302i \(-0.355199\pi\)
−0.558264 + 0.829664i \(0.688532\pi\)
\(620\) −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
\(624\) −29.6081 + 6.31179i −1.18527 + 0.252674i
\(625\) −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
\(637\) −11.3078 3.29710i −0.448032 0.130636i
\(638\) 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 −0.961747 0.273940i \(-0.911673\pi\)
0.718112 + 0.695927i \(0.245006\pi\)
\(642\) 2.03234 3.28929i 0.0802100 0.129818i
\(643\) 35.6794 20.5995i 1.40706 0.812365i 0.411955 0.911204i \(-0.364846\pi\)
0.995103 + 0.0988389i \(0.0315129\pi\)
\(644\) −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
\(650\) −1.63041 + 5.59171i −0.0639501 + 0.219325i
\(651\) −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 −0.949175 0.314749i \(-0.898079\pi\)
0.202006 0.979384i \(-0.435254\pi\)
\(654\) −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 −0.265881 0.964006i \(-0.585663\pi\)
0.967794 0.251743i \(-0.0810037\pi\)
\(660\) 5.91591 3.18399i 0.230276 0.123937i
\(661\) 33.2598 19.2026i 1.29366 0.746894i 0.314357 0.949305i \(-0.398211\pi\)
0.979301 + 0.202411i \(0.0648777\pi\)
\(662\) 15.9059 + 27.5498i 0.618200 + 1.07075i
\(663\) −30.8565 34.2287i −1.19837 1.32933i
\(664\) −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 −0.877146 0.480224i \(-0.840556\pi\)
0.854459 + 0.519519i \(0.173889\pi\)
\(674\) 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 −0.790934 0.611901i \(-0.790405\pi\)
0.925389 + 0.379018i \(0.123738\pi\)
\(678\) −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
\(689\) −25.3534 + 24.2659i −0.965887 + 0.924459i
\(690\) −6.00609 + 3.23253i −0.228648 + 0.123060i
\(691\) 11.6578 + 6.73061i 0.443482 + 0.256044i 0.705074 0.709134i \(-0.250914\pi\)
−0.261592 + 0.965179i \(0.584247\pi\)
\(692\) −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 \(0.534341\pi\)
\(702\) −4.53256 29.9239i −0.171071 1.12941i
\(703\) 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 \(-0.382474\pi\)
−0.627221 + 0.778841i \(0.715808\pi\)
\(710\) 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
\(715\) 16.5725 15.8617i 0.619776 0.593193i
\(716\) 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 −0.888152 0.459550i \(-0.848011\pi\)
0.842058 + 0.539387i \(0.181344\pi\)
\(728\) 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 \(-0.898730\pi\)
−0.204006 + 0.978970i \(0.565396\pi\)
\(734\) −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
\(741\) −4.36812 + 3.93777i −0.160467 + 0.144658i
\(742\) 15.1904 + 26.3105i 0.557657 + 0.965889i
\(743\) 4.70265 2.71508i 0.172524 0.0996066i −0.411252 0.911522i \(-0.634908\pi\)
0.583775 + 0.811915i \(0.301575\pi\)
\(744\) −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 0.776670 0.629907i \(-0.216907\pi\)
−0.933851 + 0.357662i \(0.883574\pi\)
\(752\) 33.3727 19.2678i 1.21698 0.702623i
\(753\) 0.785943 26.3188i 0.0286413 0.959112i
\(754\) 3.32413 11.4005i 0.121058 0.415182i
\(755\) 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 \(-0.528641\pi\)
0.817593 + 0.575797i \(0.195308\pi\)
\(762\) −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
\(767\) −9.08721 + 31.1657i −0.328120 + 1.12533i
\(768\) −20.4530 + 11.0080i −0.738033 + 0.397216i
\(769\) 15.6057 9.00997i 0.562757 0.324908i −0.191494 0.981494i \(-0.561333\pi\)
0.754251 + 0.656586i \(0.228000\pi\)
\(770\) −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